Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(67,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.x (of order \(12\), degree \(4\), not 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: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 667.16 | ||
Character | \(\chi\) | \(=\) | 980.667 |
Dual form | 980.2.x.k.263.16 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19055 | − | 0.763272i | 0.841848 | − | 0.539715i | ||||
\(3\) | 0.835136 | − | 3.11677i | 0.482166 | − | 1.79947i | −0.110331 | − | 0.993895i | \(-0.535191\pi\) |
0.592497 | − | 0.805573i | \(-0.298142\pi\) | |||||||
\(4\) | 0.834830 | − | 1.81743i | 0.417415 | − | 0.908716i | ||||
\(5\) | 1.91459 | + | 1.15514i | 0.856231 | + | 0.516593i | ||||
\(6\) | −1.38467 | − | 4.34811i | −0.565290 | − | 1.77511i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −0.393286 | − | 2.80095i | −0.139048 | − | 0.990286i | ||||
\(9\) | −6.41872 | − | 3.70585i | −2.13957 | − | 1.23528i | ||||
\(10\) | 3.16111 | − | 0.0861032i | 0.999629 | − | 0.0272282i | ||||
\(11\) | 1.21832 | − | 0.703395i | 0.367336 | − | 0.212082i | −0.304958 | − | 0.952366i | \(-0.598642\pi\) |
0.672294 | + | 0.740284i | \(0.265309\pi\) | |||||||
\(12\) | −4.96732 | − | 4.11978i | −1.43394 | − | 1.18928i | ||||
\(13\) | −0.699298 | + | 0.699298i | −0.193950 | + | 0.193950i | −0.797401 | − | 0.603450i | \(-0.793792\pi\) |
0.603450 | + | 0.797401i | \(0.293792\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.19924 | − | 5.00264i | 1.34244 | − | 1.29168i | ||||
\(16\) | −2.60612 | − | 3.03449i | −0.651529 | − | 0.758624i | ||||
\(17\) | −1.19641 | + | 4.46506i | −0.290172 | + | 1.08294i | 0.654805 | + | 0.755798i | \(0.272751\pi\) |
−0.944977 | + | 0.327138i | \(0.893916\pi\) | |||||||
\(18\) | −10.4704 | + | 0.487224i | −2.46790 | + | 0.114840i | ||||
\(19\) | −1.40337 | + | 2.43071i | −0.321955 | + | 0.557643i | −0.980891 | − | 0.194556i | \(-0.937673\pi\) |
0.658936 | + | 0.752199i | \(0.271007\pi\) | |||||||
\(20\) | 3.69774 | − | 2.51529i | 0.826840 | − | 0.562437i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.913587 | − | 1.76734i | 0.194777 | − | 0.376797i | ||||
\(23\) | 2.03016 | − | 0.543980i | 0.423318 | − | 0.113428i | −0.0408699 | − | 0.999164i | \(-0.513013\pi\) |
0.464188 | + | 0.885737i | \(0.346346\pi\) | |||||||
\(24\) | −9.05837 | − | 1.11339i | −1.84903 | − | 0.227270i | ||||
\(25\) | 2.33132 | + | 4.42323i | 0.466263 | + | 0.884646i | ||||
\(26\) | −0.298796 | + | 1.36631i | −0.0585987 | + | 0.267954i | ||||
\(27\) | −10.0659 | + | 10.0659i | −1.93718 | + | 1.93718i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 4.85706i | − | 0.901933i | −0.892541 | − | 0.450967i | \(-0.851079\pi\) | ||
0.892541 | − | 0.450967i | \(-0.148921\pi\) | |||||||
\(30\) | 2.37159 | − | 9.92434i | 0.432991 | − | 1.81193i | ||||
\(31\) | 3.18470 | − | 1.83869i | 0.571990 | − | 0.330238i | −0.185954 | − | 0.982558i | \(-0.559538\pi\) |
0.757944 | + | 0.652320i | \(0.226204\pi\) | |||||||
\(32\) | −5.41886 | − | 1.62355i | −0.957929 | − | 0.287005i | ||||
\(33\) | −1.17486 | − | 4.38464i | −0.204517 | − | 0.763268i | ||||
\(34\) | 1.98367 | + | 6.22907i | 0.340196 | + | 1.06828i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −12.0937 | + | 8.57184i | −2.01561 | + | 1.42864i | ||||
\(37\) | 7.99714 | − | 2.14283i | 1.31472 | − | 0.352279i | 0.467724 | − | 0.883875i | \(-0.345074\pi\) |
0.846998 | + | 0.531596i | \(0.178408\pi\) | |||||||
\(38\) | 0.184507 | + | 3.96504i | 0.0299310 | + | 0.643214i | ||||
\(39\) | 1.59554 | + | 2.76356i | 0.255491 | + | 0.442523i | ||||
\(40\) | 2.48250 | − | 5.81697i | 0.392518 | − | 0.919744i | ||||
\(41\) | 3.53368 | 0.551868 | 0.275934 | − | 0.961177i | \(-0.411013\pi\) | ||||
0.275934 | + | 0.961177i | \(0.411013\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.49869 | − | 2.49869i | −0.381046 | − | 0.381046i | 0.490433 | − | 0.871479i | \(-0.336839\pi\) |
−0.871479 | + | 0.490433i | \(0.836839\pi\) | |||||||
\(44\) | −0.261285 | − | 2.80142i | −0.0393903 | − | 0.422330i | ||||
\(45\) | −8.00846 | − | 14.5097i | −1.19383 | − | 2.16298i | ||||
\(46\) | 2.00181 | − | 2.19720i | 0.295151 | − | 0.323960i | ||||
\(47\) | 0.684106 | + | 2.55312i | 0.0997872 | + | 0.372411i | 0.997702 | − | 0.0677590i | \(-0.0215849\pi\) |
−0.897915 | + | 0.440170i | \(0.854918\pi\) | |||||||
\(48\) | −11.6343 | + | 5.58845i | −1.67926 | + | 0.806623i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 6.15168 | + | 3.48666i | 0.869980 | + | 0.493088i | ||||
\(51\) | 12.9174 | + | 7.45786i | 1.80880 | + | 1.04431i | ||||
\(52\) | 0.687131 | + | 1.85472i | 0.0952879 | + | 0.257203i | ||||
\(53\) | 0.951495 | + | 0.254952i | 0.130698 | + | 0.0350204i | 0.323575 | − | 0.946203i | \(-0.395115\pi\) |
−0.192877 | + | 0.981223i | \(0.561782\pi\) | |||||||
\(54\) | −4.30095 | + | 19.6670i | −0.585286 | + | 2.67634i | ||||
\(55\) | 3.14510 | + | 0.0606082i | 0.424085 | + | 0.00817240i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.40395 | + | 6.40395i | 0.848224 | + | 0.848224i | ||||
\(58\) | −3.70726 | − | 5.78258i | −0.486787 | − | 0.759291i | ||||
\(59\) | 3.53286 | + | 6.11910i | 0.459940 | + | 0.796639i | 0.998957 | − | 0.0456557i | \(-0.0145377\pi\) |
−0.539018 | + | 0.842294i | \(0.681204\pi\) | |||||||
\(60\) | −4.75148 | − | 13.6256i | −0.613413 | − | 1.75906i | ||||
\(61\) | −1.09916 | + | 1.90379i | −0.140732 | + | 0.243756i | −0.927773 | − | 0.373146i | \(-0.878279\pi\) |
0.787040 | + | 0.616902i | \(0.211612\pi\) | |||||||
\(62\) | 2.38814 | − | 4.61985i | 0.303294 | − | 0.586722i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.69065 | + | 2.20315i | −0.961331 | + | 0.275394i | ||||
\(65\) | −2.14665 | + | 0.531084i | −0.266260 | + | 0.0658729i | ||||
\(66\) | −4.74541 | − | 4.32341i | −0.584120 | − | 0.532175i | ||||
\(67\) | −3.08671 | − | 0.827081i | −0.377101 | − | 0.101044i | 0.0652895 | − | 0.997866i | \(-0.479203\pi\) |
−0.442391 | + | 0.896822i | \(0.645870\pi\) | |||||||
\(68\) | 7.11614 | + | 5.90196i | 0.862959 | + | 0.715717i | ||||
\(69\) | − | 6.78184i | − | 0.816438i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.1891i | 1.44658i | 0.690546 | + | 0.723289i | \(0.257370\pi\) | ||||
−0.690546 | + | 0.723289i | \(0.742630\pi\) | |||||||
\(72\) | −7.85551 | + | 19.4360i | −0.925781 | + | 2.29055i | ||||
\(73\) | −6.40469 | − | 1.71613i | −0.749612 | − | 0.200858i | −0.136266 | − | 0.990672i | \(-0.543510\pi\) |
−0.613346 | + | 0.789814i | \(0.710177\pi\) | |||||||
\(74\) | 7.88545 | − | 8.65515i | 0.916665 | − | 1.00614i | ||||
\(75\) | 15.7332 | − | 3.57218i | 1.81671 | − | 0.412480i | ||||
\(76\) | 3.24607 | + | 4.57976i | 0.372350 | + | 0.525334i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.00892 | + | 2.07233i | 0.453921 | + | 0.234645i | ||||
\(79\) | 0.299644 | − | 0.518999i | 0.0337126 | − | 0.0583919i | −0.848677 | − | 0.528912i | \(-0.822600\pi\) |
0.882389 | + | 0.470520i | \(0.155934\pi\) | |||||||
\(80\) | −1.48439 | − | 8.82024i | −0.165960 | − | 0.986133i | ||||
\(81\) | 11.8491 | + | 20.5233i | 1.31657 | + | 2.28036i | ||||
\(82\) | 4.20703 | − | 2.69716i | 0.464589 | − | 0.297852i | ||||
\(83\) | 4.53764 | + | 4.53764i | 0.498071 | + | 0.498071i | 0.910837 | − | 0.412766i | \(-0.135437\pi\) |
−0.412766 | + | 0.910837i | \(0.635437\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.44839 | + | 7.16674i | −0.807891 | + | 0.777342i | ||||
\(86\) | −4.88200 | − | 1.06764i | −0.526440 | − | 0.115127i | ||||
\(87\) | −15.1383 | − | 4.05630i | −1.62300 | − | 0.434882i | ||||
\(88\) | −2.44932 | − | 3.13581i | −0.261099 | − | 0.334278i | ||||
\(89\) | 0.401553 | + | 0.231837i | 0.0425645 | + | 0.0245746i | 0.521131 | − | 0.853477i | \(-0.325510\pi\) |
−0.478567 | + | 0.878051i | \(0.658844\pi\) | |||||||
\(90\) | −20.6093 | − | 11.1619i | −2.17242 | − | 1.17657i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.706194 | − | 4.14381i | 0.0736258 | − | 0.432022i | ||||
\(93\) | −3.07111 | − | 11.4615i | −0.318459 | − | 1.18851i | ||||
\(94\) | 2.76319 | + | 2.51746i | 0.285001 | + | 0.259657i | ||||
\(95\) | −5.49468 | + | 3.03273i | −0.563742 | + | 0.311151i | ||||
\(96\) | −9.58571 | + | 15.5335i | −0.978338 | + | 1.58538i | ||||
\(97\) | 8.00558 | + | 8.00558i | 0.812843 | + | 0.812843i | 0.985059 | − | 0.172216i | \(-0.0550927\pi\) |
−0.172216 | + | 0.985059i | \(0.555093\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −10.4267 | −1.04792 | ||||||||
\(100\) | 9.98517 | − | 0.544363i | 0.998517 | − | 0.0544363i | ||||
\(101\) | 3.01549 | + | 5.22299i | 0.300053 | + | 0.519707i | 0.976148 | − | 0.217108i | \(-0.0696624\pi\) |
−0.676095 | + | 0.736815i | \(0.736329\pi\) | |||||||
\(102\) | 21.0712 | − | 0.980516i | 2.08636 | − | 0.0970856i | ||||
\(103\) | −13.5932 | + | 3.64227i | −1.33937 | + | 0.358884i | −0.856202 | − | 0.516642i | \(-0.827182\pi\) |
−0.483171 | + | 0.875526i | \(0.660515\pi\) | |||||||
\(104\) | 2.23372 | + | 1.68367i | 0.219035 | + | 0.165098i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.32740 | − | 0.422716i | 0.128929 | − | 0.0410578i | ||||
\(107\) | −5.19174 | − | 19.3758i | −0.501905 | − | 1.87313i | −0.487290 | − | 0.873240i | \(-0.662015\pi\) |
−0.0146144 | − | 0.999893i | \(-0.504652\pi\) | |||||||
\(108\) | 9.89076 | + | 26.6974i | 0.951739 | + | 2.56896i | ||||
\(109\) | −0.879139 | + | 0.507571i | −0.0842062 | + | 0.0486165i | −0.541512 | − | 0.840693i | \(-0.682148\pi\) |
0.457306 | + | 0.889310i | \(0.348815\pi\) | |||||||
\(110\) | 3.79066 | − | 2.32841i | 0.361425 | − | 0.222005i | ||||
\(111\) | − | 26.7148i | − | 2.53566i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.39345 | − | 7.39345i | 0.695518 | − | 0.695518i | −0.267923 | − | 0.963440i | \(-0.586337\pi\) |
0.963440 | + | 0.267923i | \(0.0863372\pi\) | |||||||
\(114\) | 12.5122 | + | 2.73628i | 1.17188 | + | 0.256276i | ||||
\(115\) | 4.51530 | + | 1.30362i | 0.421054 | + | 0.121563i | ||||
\(116\) | −8.82737 | − | 4.05482i | −0.819601 | − | 0.376481i | ||||
\(117\) | 7.08009 | − | 1.89711i | 0.654555 | − | 0.175387i | ||||
\(118\) | 8.87660 | + | 4.58857i | 0.817157 | + | 0.422412i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −16.0569 | − | 12.5953i | −1.46579 | − | 1.14979i | ||||
\(121\) | −4.51047 | + | 7.81236i | −0.410043 | + | 0.710215i | ||||
\(122\) | 0.144511 | + | 3.10552i | 0.0130834 | + | 0.281161i | ||||
\(123\) | 2.95110 | − | 11.0137i | 0.266092 | − | 0.993069i | ||||
\(124\) | −0.683006 | − | 7.32298i | −0.0613357 | − | 0.657623i | ||||
\(125\) | −0.645919 | + | 11.1617i | −0.0577727 | + | 0.998330i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.87092 | + | 8.87092i | −0.787167 | + | 0.787167i | −0.981029 | − | 0.193862i | \(-0.937899\pi\) |
0.193862 | + | 0.981029i | \(0.437899\pi\) | |||||||
\(128\) | −7.47452 | + | 8.49303i | −0.660661 | + | 0.750685i | ||||
\(129\) | −9.87458 | + | 5.70109i | −0.869408 | + | 0.501953i | ||||
\(130\) | −2.15034 | + | 2.27077i | −0.188597 | + | 0.199159i | ||||
\(131\) | −11.3871 | − | 6.57436i | −0.994898 | − | 0.574404i | −0.0881630 | − | 0.996106i | \(-0.528100\pi\) |
−0.906735 | + | 0.421702i | \(0.861433\pi\) | |||||||
\(132\) | −8.94960 | − | 1.52520i | −0.778962 | − | 0.132752i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.30618 | + | 1.37132i | −0.371997 | + | 0.118464i | ||||
\(135\) | −30.8996 | + | 7.64458i | −2.65941 | + | 0.657941i | ||||
\(136\) | 12.9769 | + | 1.59504i | 1.11276 | + | 0.136773i | ||||
\(137\) | 1.80890 | − | 6.75090i | 0.154545 | − | 0.576769i | −0.844599 | − | 0.535399i | \(-0.820161\pi\) |
0.999144 | − | 0.0413695i | \(-0.0131721\pi\) | |||||||
\(138\) | −5.17640 | − | 8.07414i | −0.440644 | − | 0.687317i | ||||
\(139\) | 21.2377 | 1.80136 | 0.900679 | − | 0.434485i | \(-0.143069\pi\) | ||||
0.900679 | + | 0.434485i | \(0.143069\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.52881 | 0.718255 | ||||||||
\(142\) | 9.30359 | + | 14.5117i | 0.780740 | + | 1.21780i | ||||
\(143\) | −0.360083 | + | 1.34385i | −0.0301117 | + | 0.112378i | ||||
\(144\) | 5.48256 | + | 29.1355i | 0.456880 | + | 2.42796i | ||||
\(145\) | 5.61057 | − | 9.29928i | 0.465932 | − | 0.772263i | ||||
\(146\) | −8.93499 | + | 2.84538i | −0.739465 | + | 0.235485i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.78181 | − | 16.3232i | 0.228664 | − | 1.34176i | ||||
\(149\) | 5.75434 | + | 3.32227i | 0.471414 | + | 0.272171i | 0.716831 | − | 0.697247i | \(-0.245592\pi\) |
−0.245418 | + | 0.969417i | \(0.578925\pi\) | |||||||
\(150\) | 16.0046 | − | 16.2615i | 1.30677 | − | 1.32775i | ||||
\(151\) | −17.6555 | + | 10.1934i | −1.43679 | + | 0.829529i | −0.997625 | − | 0.0688796i | \(-0.978058\pi\) |
−0.439161 | + | 0.898408i | \(0.644724\pi\) | |||||||
\(152\) | 7.36022 | + | 2.97481i | 0.596993 | + | 0.241289i | ||||
\(153\) | 24.2263 | − | 24.2263i | 1.95858 | − | 1.95858i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 8.22134 | + | 0.158431i | 0.660354 | + | 0.0127255i | ||||
\(156\) | 6.35458 | − | 0.592685i | 0.508774 | − | 0.0474528i | ||||
\(157\) | 4.59905 | − | 17.1639i | 0.367044 | − | 1.36983i | −0.497584 | − | 0.867416i | \(-0.665779\pi\) |
0.864628 | − | 0.502412i | \(-0.167554\pi\) | |||||||
\(158\) | −0.0393955 | − | 0.846605i | −0.00313413 | − | 0.0673523i | ||||
\(159\) | 1.58925 | − | 2.75267i | 0.126036 | − | 0.218301i | ||||
\(160\) | −8.49949 | − | 9.36796i | −0.671944 | − | 0.740602i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 29.7719 | + | 15.3899i | 2.33910 | + | 1.20915i | ||||
\(163\) | 16.7957 | − | 4.50039i | 1.31554 | − | 0.352498i | 0.468235 | − | 0.883604i | \(-0.344890\pi\) |
0.847305 | + | 0.531106i | \(0.178224\pi\) | |||||||
\(164\) | 2.95002 | − | 6.42222i | 0.230358 | − | 0.501491i | ||||
\(165\) | 2.81548 | − | 9.75192i | 0.219185 | − | 0.759186i | ||||
\(166\) | 8.86575 | + | 1.93884i | 0.688116 | + | 0.150483i | ||||
\(167\) | 6.88960 | − | 6.88960i | 0.533133 | − | 0.533133i | −0.388370 | − | 0.921503i | \(-0.626962\pi\) |
0.921503 | + | 0.388370i | \(0.126962\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.0220i | 0.924767i | ||||||||
\(170\) | −3.39752 | + | 14.2175i | −0.260578 | + | 1.09044i | ||||
\(171\) | 18.0157 | − | 10.4014i | 1.37769 | − | 0.795412i | ||||
\(172\) | −6.62718 | + | 2.45521i | −0.505318 | + | 0.187208i | ||||
\(173\) | −6.40337 | − | 23.8977i | −0.486839 | − | 1.81691i | −0.571632 | − | 0.820510i | \(-0.693689\pi\) |
0.0847922 | − | 0.996399i | \(-0.472977\pi\) | |||||||
\(174\) | −21.1190 | + | 6.72543i | −1.60103 | + | 0.509854i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −5.30952 | − | 1.86384i | −0.400220 | − | 0.140493i | ||||
\(177\) | 22.0222 | − | 5.90084i | 1.65529 | − | 0.443534i | ||||
\(178\) | 0.655024 | − | 0.0304805i | 0.0490961 | − | 0.00228461i | ||||
\(179\) | 10.2777 | + | 17.8015i | 0.768192 | + | 1.33055i | 0.938542 | + | 0.345164i | \(0.112177\pi\) |
−0.170350 | + | 0.985384i | \(0.554490\pi\) | |||||||
\(180\) | −33.0561 | + | 2.44170i | −2.46386 | + | 0.181994i | ||||
\(181\) | −7.85989 | −0.584221 | −0.292110 | − | 0.956385i | \(-0.594357\pi\) | ||||
−0.292110 | + | 0.956385i | \(0.594357\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 5.01574 | + | 5.01574i | 0.370774 | + | 0.370774i | ||||
\(184\) | −2.32210 | − | 5.47244i | −0.171187 | − | 0.403434i | ||||
\(185\) | 17.7865 | + | 5.13516i | 1.30769 | + | 0.377544i | ||||
\(186\) | −12.4046 | − | 11.3015i | −0.909549 | − | 0.828664i | ||||
\(187\) | 1.68310 | + | 6.28140i | 0.123080 | + | 0.459342i | ||||
\(188\) | 5.21123 | + | 0.888105i | 0.380068 | + | 0.0647717i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.22691 | + | 7.80456i | −0.306652 | + | 0.566202i | ||||
\(191\) | −7.51061 | − | 4.33625i | −0.543449 | − | 0.313760i | 0.203027 | − | 0.979173i | \(-0.434922\pi\) |
−0.746475 | + | 0.665413i | \(0.768255\pi\) | |||||||
\(192\) | 0.443974 | + | 25.8099i | 0.0320411 | + | 1.86267i | ||||
\(193\) | 5.12478 | + | 1.37318i | 0.368890 | + | 0.0988437i | 0.438502 | − | 0.898730i | \(-0.355509\pi\) |
−0.0696118 | + | 0.997574i | \(0.522176\pi\) | |||||||
\(194\) | 15.6415 | + | 3.42062i | 1.12299 | + | 0.245586i | ||||
\(195\) | −0.137480 | + | 7.13415i | −0.00984515 | + | 0.510887i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −12.3437 | − | 12.3437i | −0.879452 | − | 0.879452i | 0.114026 | − | 0.993478i | \(-0.463625\pi\) |
−0.993478 | + | 0.114026i | \(0.963625\pi\) | |||||||
\(198\) | −12.4136 | + | 7.95842i | −0.882193 | + | 0.565581i | ||||
\(199\) | −2.14941 | − | 3.72289i | −0.152368 | − | 0.263909i | 0.779730 | − | 0.626116i | \(-0.215356\pi\) |
−0.932097 | + | 0.362208i | \(0.882023\pi\) | |||||||
\(200\) | 11.4724 | − | 8.26950i | 0.811219 | − | 0.584742i | ||||
\(201\) | −5.15564 | + | 8.92983i | −0.363651 | + | 0.629862i | ||||
\(202\) | 7.57667 | + | 3.91660i | 0.533092 | + | 0.275571i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 24.3380 | − | 17.2504i | 1.70400 | − | 1.20777i | ||||
\(205\) | 6.76555 | + | 4.08188i | 0.472527 | + | 0.285091i | ||||
\(206\) | −13.4033 | + | 14.7116i | −0.933853 | + | 1.02501i | ||||
\(207\) | −15.0470 | − | 4.03182i | −1.04584 | − | 0.280231i | ||||
\(208\) | 3.94447 | + | 0.299564i | 0.273500 | + | 0.0207710i | ||||
\(209\) | 3.94849i | 0.273123i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 19.5494i | − | 1.34583i | −0.739718 | − | 0.672917i | \(-0.765041\pi\) | ||
0.739718 | − | 0.672917i | \(-0.234959\pi\) | |||||||
\(212\) | 1.25769 | − | 1.51643i | 0.0863788 | − | 0.104149i | ||||
\(213\) | 37.9906 | + | 10.1795i | 2.60307 | + | 0.697490i | ||||
\(214\) | −20.9701 | − | 19.1052i | −1.43349 | − | 1.30601i | ||||
\(215\) | −1.89764 | − | 7.67029i | −0.129418 | − | 0.523110i | ||||
\(216\) | 32.1528 | + | 24.2353i | 2.18772 | + | 1.64900i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.659246 | + | 1.27531i | −0.0446498 | + | 0.0863751i | ||||
\(219\) | −10.6976 | + | 18.5287i | −0.722875 | + | 1.25206i | ||||
\(220\) | 2.73577 | − | 5.66540i | 0.184446 | − | 0.381961i | ||||
\(221\) | −2.28576 | − | 3.95905i | −0.153757 | − | 0.266315i | ||||
\(222\) | −20.3907 | − | 31.8054i | −1.36853 | − | 2.13464i | ||||
\(223\) | −9.54503 | − | 9.54503i | −0.639183 | − | 0.639183i | 0.311171 | − | 0.950354i | \(-0.399279\pi\) |
−0.950354 | + | 0.311171i | \(0.899279\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.42776 | − | 37.0310i | 0.0951838 | − | 2.46873i | ||||
\(226\) | 3.15908 | − | 14.4455i | 0.210139 | − | 0.960901i | ||||
\(227\) | −17.8221 | − | 4.77541i | −1.18289 | − | 0.316955i | −0.386819 | − | 0.922155i | \(-0.626426\pi\) |
−0.796073 | + | 0.605200i | \(0.793093\pi\) | |||||||
\(228\) | 16.9850 | − | 6.29253i | 1.12486 | − | 0.416733i | ||||
\(229\) | 13.5250 | + | 7.80865i | 0.893755 | + | 0.516010i | 0.875169 | − | 0.483817i | \(-0.160750\pi\) |
0.0185864 | + | 0.999827i | \(0.494083\pi\) | |||||||
\(230\) | 6.37072 | − | 1.89438i | 0.420073 | − | 0.124912i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −13.6044 | + | 1.91021i | −0.893172 | + | 0.125412i | ||||
\(233\) | 0.989436 | + | 3.69263i | 0.0648201 | + | 0.241912i | 0.990733 | − | 0.135826i | \(-0.0433688\pi\) |
−0.925913 | + | 0.377738i | \(0.876702\pi\) | |||||||
\(234\) | 6.98121 | − | 7.66264i | 0.456376 | − | 0.500923i | ||||
\(235\) | −1.63942 | + | 5.67842i | −0.106944 | + | 0.370419i | ||||
\(236\) | 14.0704 | − | 1.31233i | 0.915904 | − | 0.0854253i | ||||
\(237\) | −1.36736 | − | 1.36736i | −0.0888193 | − | 0.0888193i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 15.4752 | 1.00101 | 0.500505 | − | 0.865734i | \(-0.333148\pi\) | ||||
0.500505 | + | 0.865734i | \(0.333148\pi\) | |||||||
\(240\) | −28.7303 | − | 2.73960i | −1.85453 | − | 0.176840i | ||||
\(241\) | −14.3810 | − | 24.9086i | −0.926361 | − | 1.60450i | −0.789357 | − | 0.613934i | \(-0.789586\pi\) |
−0.137004 | − | 0.990570i | \(-0.543747\pi\) | |||||||
\(242\) | 0.593010 | + | 12.7437i | 0.0381202 | + | 0.819199i | ||||
\(243\) | 32.6112 | − | 8.73814i | 2.09201 | − | 0.560552i | ||||
\(244\) | 2.54241 | + | 3.58699i | 0.162761 | + | 0.229633i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −4.89298 | − | 15.3648i | −0.311965 | − | 0.979626i | ||||
\(247\) | −0.718415 | − | 2.68116i | −0.0457117 | − | 0.170598i | ||||
\(248\) | −6.40258 | − | 8.19707i | −0.406564 | − | 0.520514i | ||||
\(249\) | 17.9323 | − | 10.3532i | 1.13641 | − | 0.656109i | ||||
\(250\) | 7.75039 | + | 13.7816i | 0.490178 | + | 0.871622i | ||||
\(251\) | 26.0285i | 1.64291i | 0.570277 | + | 0.821453i | \(0.306836\pi\) | ||||
−0.570277 | + | 0.821453i | \(0.693164\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.09075 | − | 2.09075i | 0.131444 | − | 0.131444i | ||||
\(254\) | −3.79037 | + | 17.3322i | −0.237829 | + | 1.08752i | ||||
\(255\) | 16.1167 | + | 29.2001i | 1.00927 | + | 1.82858i | ||||
\(256\) | −2.41631 | + | 15.8165i | −0.151020 | + | 0.988531i | ||||
\(257\) | −22.2935 | + | 5.97352i | −1.39063 | + | 0.372618i | −0.874971 | − | 0.484176i | \(-0.839119\pi\) |
−0.515659 | + | 0.856794i | \(0.672453\pi\) | |||||||
\(258\) | −7.40472 | + | 14.3244i | −0.460998 | + | 0.891801i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.826882 | + | 4.34476i | −0.0512811 | + | 0.269451i | ||||
\(261\) | −17.9995 | + | 31.1761i | −1.11414 | + | 1.92975i | ||||
\(262\) | −18.5750 | + | 0.864358i | −1.14757 | + | 0.0534002i | ||||
\(263\) | 2.93759 | − | 10.9633i | 0.181140 | − | 0.676023i | −0.814284 | − | 0.580466i | \(-0.802870\pi\) |
0.995424 | − | 0.0955566i | \(-0.0304631\pi\) | |||||||
\(264\) | −11.8191 | + | 5.01515i | −0.727416 | + | 0.308661i | ||||
\(265\) | 1.52722 | + | 1.58724i | 0.0938163 | + | 0.0975031i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.05793 | − | 1.05793i | 0.0647444 | − | 0.0647444i | ||||
\(268\) | −4.08004 | + | 4.91941i | −0.249228 | + | 0.300501i | ||||
\(269\) | −23.5713 | + | 13.6089i | −1.43717 | + | 0.829749i | −0.997652 | − | 0.0684854i | \(-0.978183\pi\) |
−0.439516 | + | 0.898235i | \(0.644850\pi\) | |||||||
\(270\) | −30.9526 | + | 32.6861i | −1.88372 | + | 1.98921i | ||||
\(271\) | 0.134959 | + | 0.0779185i | 0.00819817 | + | 0.00473321i | 0.504093 | − | 0.863649i | \(-0.331827\pi\) |
−0.495895 | + | 0.868382i | \(0.665160\pi\) | |||||||
\(272\) | 16.6672 | − | 8.00597i | 1.01060 | − | 0.485433i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.99919 | − | 9.41799i | −0.181188 | − | 0.568961i | ||||
\(275\) | 5.95156 | + | 3.74906i | 0.358893 | + | 0.226077i | ||||
\(276\) | −12.3255 | − | 5.66169i | −0.741910 | − | 0.340794i | ||||
\(277\) | −5.41783 | + | 20.2196i | −0.325526 | + | 1.21488i | 0.588256 | + | 0.808674i | \(0.299815\pi\) |
−0.913782 | + | 0.406204i | \(0.866852\pi\) | |||||||
\(278\) | 25.2846 | − | 16.2102i | 1.51647 | − | 0.972220i | ||||
\(279\) | −27.2556 | −1.63175 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.56355 | −0.152929 | −0.0764644 | − | 0.997072i | \(-0.524363\pi\) | ||||
−0.0764644 | + | 0.997072i | \(0.524363\pi\) | |||||||
\(282\) | 10.1540 | − | 6.50980i | 0.604661 | − | 0.387653i | ||||
\(283\) | −5.32518 | + | 19.8738i | −0.316549 | + | 1.18138i | 0.605990 | + | 0.795472i | \(0.292777\pi\) |
−0.922539 | + | 0.385904i | \(0.873889\pi\) | |||||||
\(284\) | 22.1528 | + | 10.1758i | 1.31453 | + | 0.603824i | ||||
\(285\) | 4.86351 | + | 19.6584i | 0.288089 | + | 1.16446i | ||||
\(286\) | 0.597025 | + | 1.87476i | 0.0353028 | + | 0.110857i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 28.7656 | + | 30.5026i | 1.69503 | + | 1.79738i | ||||
\(289\) | −3.78292 | − | 2.18407i | −0.222525 | − | 0.128475i | ||||
\(290\) | −0.418208 | − | 15.3537i | −0.0245580 | − | 0.901599i | ||||
\(291\) | 31.6373 | − | 18.2658i | 1.85461 | − | 1.07076i | ||||
\(292\) | −8.46578 | + | 10.2074i | −0.495422 | + | 0.597343i | ||||
\(293\) | 4.71102 | − | 4.71102i | 0.275221 | − | 0.275221i | −0.555977 | − | 0.831198i | \(-0.687656\pi\) |
0.831198 | + | 0.555977i | \(0.187656\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.304410 | + | 15.7965i | −0.0177234 | + | 0.919708i | ||||
\(296\) | −9.14712 | − | 21.5569i | −0.531666 | − | 1.25297i | ||||
\(297\) | −5.18314 | + | 19.3437i | −0.300756 | + | 1.12244i | ||||
\(298\) | 9.38664 | − | 0.436793i | 0.543753 | − | 0.0253027i | ||||
\(299\) | −1.03928 | + | 1.80009i | −0.0601033 | + | 0.104102i | ||||
\(300\) | 6.64232 | − | 31.5761i | 0.383495 | − | 1.82305i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −13.2395 | + | 25.6118i | −0.761846 | + | 1.47379i | ||||
\(303\) | 18.7972 | − | 5.03669i | 1.07987 | − | 0.289350i | ||||
\(304\) | 11.0333 | − | 2.07619i | 0.632804 | − | 0.119078i | ||||
\(305\) | −4.30358 | + | 2.37531i | −0.246422 | + | 0.136010i | ||||
\(306\) | 10.3514 | − | 47.3339i | 0.591750 | − | 2.70590i | ||||
\(307\) | −16.8508 | + | 16.8508i | −0.961723 | + | 0.961723i | −0.999294 | − | 0.0375706i | \(-0.988038\pi\) |
0.0375706 | + | 0.999294i | \(0.488038\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 45.4085i | 2.58320i | ||||||||
\(310\) | 9.90887 | − | 6.08651i | 0.562786 | − | 0.345690i | ||||
\(311\) | −15.7287 | + | 9.08099i | −0.891895 | + | 0.514936i | −0.874562 | − | 0.484914i | \(-0.838851\pi\) |
−0.0173329 | + | 0.999850i | \(0.505518\pi\) | |||||||
\(312\) | 7.11309 | − | 5.55590i | 0.402699 | − | 0.314541i | ||||
\(313\) | −0.405938 | − | 1.51498i | −0.0229450 | − | 0.0856319i | 0.953504 | − | 0.301381i | \(-0.0974475\pi\) |
−0.976449 | + | 0.215749i | \(0.930781\pi\) | |||||||
\(314\) | −7.62532 | − | 23.9449i | −0.430322 | − | 1.35129i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.693093 | − | 0.977859i | −0.0389895 | − | 0.0550088i | ||||
\(317\) | −28.5334 | + | 7.64549i | −1.60259 | + | 0.429414i | −0.945825 | − | 0.324678i | \(-0.894744\pi\) |
−0.656769 | + | 0.754092i | \(0.728077\pi\) | |||||||
\(318\) | −0.208946 | − | 4.49023i | −0.0117171 | − | 0.251800i | ||||
\(319\) | −3.41643 | − | 5.91743i | −0.191283 | − | 0.331313i | ||||
\(320\) | −17.2694 | − | 4.66562i | −0.965388 | − | 0.260816i | ||||
\(321\) | −64.7258 | −3.61264 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.17425 | − | 9.17425i | −0.510469 | − | 0.510469i | ||||
\(324\) | 47.1917 | − | 4.40151i | 2.62176 | − | 0.244528i | ||||
\(325\) | −4.72344 | − | 1.46287i | −0.262009 | − | 0.0811454i | ||||
\(326\) | 16.5611 | − | 18.1776i | 0.917236 | − | 1.00677i | ||||
\(327\) | 0.847782 | + | 3.16396i | 0.0468824 | + | 0.174968i | ||||
\(328\) | −1.38975 | − | 9.89766i | −0.0767360 | − | 0.546507i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −4.09139 | − | 13.7592i | −0.225224 | − | 0.757416i | ||||
\(331\) | 10.9400 | + | 6.31623i | 0.601319 | + | 0.347172i | 0.769560 | − | 0.638574i | \(-0.220475\pi\) |
−0.168241 | + | 0.985746i | \(0.553809\pi\) | |||||||
\(332\) | 12.0350 | − | 4.45869i | 0.660507 | − | 0.244703i | ||||
\(333\) | −59.2724 | − | 15.8820i | −3.24811 | − | 0.870328i | ||||
\(334\) | 2.94379 | − | 13.4611i | 0.161077 | − | 0.736557i | ||||
\(335\) | −4.95439 | − | 5.14909i | −0.270687 | − | 0.281325i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.10542 | + | 4.10542i | 0.223636 | + | 0.223636i | 0.810028 | − | 0.586391i | \(-0.199452\pi\) |
−0.586391 | + | 0.810028i | \(0.699452\pi\) | |||||||
\(338\) | 9.17603 | + | 14.3128i | 0.499111 | + | 0.778513i | ||||
\(339\) | −16.8692 | − | 29.2182i | −0.916207 | − | 1.58692i | ||||
\(340\) | 6.80693 | + | 19.5200i | 0.369157 | + | 1.05862i | ||||
\(341\) | 2.58665 | − | 4.48021i | 0.140075 | − | 0.242617i | ||||
\(342\) | 13.5095 | − | 26.1342i | 0.730513 | − | 1.41318i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −6.01600 | + | 7.98140i | −0.324361 | + | 0.430328i | ||||
\(345\) | 7.83396 | − | 12.9845i | 0.421766 | − | 0.699060i | ||||
\(346\) | −25.8640 | − | 23.5640i | −1.39046 | − | 1.26681i | ||||
\(347\) | 14.2660 | + | 3.82255i | 0.765837 | + | 0.205205i | 0.620531 | − | 0.784182i | \(-0.286917\pi\) |
0.145305 | + | 0.989387i | \(0.453584\pi\) | |||||||
\(348\) | −20.0100 | + | 24.1266i | −1.07265 | + | 1.29332i | ||||
\(349\) | − | 5.05181i | − | 0.270417i | −0.990817 | − | 0.135209i | \(-0.956830\pi\) | ||
0.990817 | − | 0.135209i | \(-0.0431705\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 14.0781i | − | 0.751434i | ||||||
\(352\) | −7.74389 | + | 1.83361i | −0.412751 | + | 0.0977317i | ||||
\(353\) | −10.5040 | − | 2.81454i | −0.559072 | − | 0.149803i | −0.0317919 | − | 0.999495i | \(-0.510121\pi\) |
−0.527280 | + | 0.849692i | \(0.676788\pi\) | |||||||
\(354\) | 21.7147 | − | 23.8342i | 1.15412 | − | 1.26677i | ||||
\(355\) | −14.0801 | + | 23.3371i | −0.747292 | + | 1.23860i | ||||
\(356\) | 0.756576 | − | 0.536251i | 0.0400984 | − | 0.0284212i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 25.8236 | + | 13.3489i | 1.36482 | + | 0.705514i | ||||
\(359\) | 2.49329 | − | 4.31850i | 0.131591 | − | 0.227922i | −0.792699 | − | 0.609613i | \(-0.791325\pi\) |
0.924290 | + | 0.381691i | \(0.124658\pi\) | |||||||
\(360\) | −37.4913 | + | 28.1378i | −1.97597 | + | 1.48299i | ||||
\(361\) | 5.56111 | + | 9.63212i | 0.292690 | + | 0.506954i | ||||
\(362\) | −9.35761 | + | 5.99923i | −0.491825 | + | 0.315313i | ||||
\(363\) | 20.5825 | + | 20.5825i | 1.08030 | + | 1.08030i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −10.2800 | − | 10.6840i | −0.538079 | − | 0.559225i | ||||
\(366\) | 9.79988 | + | 2.14313i | 0.512248 | + | 0.112023i | ||||
\(367\) | 15.3917 | + | 4.12420i | 0.803442 | + | 0.215282i | 0.637094 | − | 0.770786i | \(-0.280136\pi\) |
0.166347 | + | 0.986067i | \(0.446803\pi\) | |||||||
\(368\) | −6.94154 | − | 4.74284i | −0.361853 | − | 0.247238i | ||||
\(369\) | −22.6817 | − | 13.0953i | −1.18076 | − | 0.681714i | ||||
\(370\) | 25.0953 | − | 7.46228i | 1.30464 | − | 0.387946i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −23.3944 | − | 3.98691i | −1.21294 | − | 0.206712i | ||||
\(373\) | −0.152497 | − | 0.569126i | −0.00789599 | − | 0.0294682i | 0.961865 | − | 0.273523i | \(-0.0881890\pi\) |
−0.969761 | + | 0.244055i | \(0.921522\pi\) | |||||||
\(374\) | 6.79823 | + | 6.19368i | 0.351528 | + | 0.320267i | ||||
\(375\) | 34.2489 | + | 11.3347i | 1.76861 | + | 0.585321i | ||||
\(376\) | 6.88211 | − | 2.92025i | 0.354918 | − | 0.150601i | ||||
\(377\) | 3.39653 | + | 3.39653i | 0.174930 | + | 0.174930i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 23.7583 | 1.22038 | 0.610191 | − | 0.792254i | \(-0.291093\pi\) | ||||
0.610191 | + | 0.792254i | \(0.291093\pi\) | |||||||
\(380\) | 0.924648 | + | 12.5180i | 0.0474335 | + | 0.642161i | ||||
\(381\) | 20.2402 | + | 35.0570i | 1.03694 | + | 1.79603i | ||||
\(382\) | −12.2515 | + | 0.570105i | −0.626842 | + | 0.0291691i | ||||
\(383\) | −4.14964 | + | 1.11189i | −0.212037 | + | 0.0568151i | −0.363274 | − | 0.931682i | \(-0.618341\pi\) |
0.151237 | + | 0.988498i | \(0.451674\pi\) | |||||||
\(384\) | 20.2286 | + | 30.3892i | 1.03229 | + | 1.55079i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.14943 | − | 2.27676i | 0.363896 | − | 0.115884i | ||||
\(387\) | 6.77862 | + | 25.2982i | 0.344577 | + | 1.28598i | ||||
\(388\) | 21.2329 | − | 7.86629i | 1.07794 | − | 0.399350i | ||||
\(389\) | −21.8152 | + | 12.5950i | −1.10608 | + | 0.638593i | −0.937810 | − | 0.347148i | \(-0.887150\pi\) |
−0.168266 | + | 0.985742i | \(0.553817\pi\) | |||||||
\(390\) | 5.28162 | + | 8.59852i | 0.267445 | + | 0.435403i | ||||
\(391\) | 9.71561i | 0.491340i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −30.0006 | + | 30.0006i | −1.51333 | + | 1.51333i | ||||
\(394\) | −24.1174 | − | 5.27421i | −1.21502 | − | 0.265711i | ||||
\(395\) | 1.17321 | − | 0.647540i | 0.0590306 | − | 0.0325813i | ||||
\(396\) | −8.70454 | + | 18.9498i | −0.437419 | + | 0.952265i | ||||
\(397\) | 3.73802 | − | 1.00160i | 0.187606 | − | 0.0502689i | −0.163793 | − | 0.986495i | \(-0.552373\pi\) |
0.351399 | + | 0.936226i | \(0.385706\pi\) | |||||||
\(398\) | −5.40057 | − | 2.79171i | −0.270706 | − | 0.139936i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.34658 | − | 18.6018i | 0.367329 | − | 0.930091i | ||||
\(401\) | 2.74364 | − | 4.75213i | 0.137011 | − | 0.237310i | −0.789353 | − | 0.613940i | \(-0.789584\pi\) |
0.926364 | + | 0.376630i | \(0.122917\pi\) | |||||||
\(402\) | 0.677834 | + | 14.5666i | 0.0338073 | + | 0.726516i | ||||
\(403\) | −0.941265 | + | 3.51285i | −0.0468877 | + | 0.174987i | ||||
\(404\) | 12.0098 | − | 1.12014i | 0.597512 | − | 0.0557293i | ||||
\(405\) | −1.02098 | + | 52.9811i | −0.0507330 | + | 2.63265i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.23579 | − | 8.23579i | 0.408233 | − | 0.408233i | ||||
\(408\) | 15.8089 | − | 39.1141i | 0.782656 | − | 1.93643i | ||||
\(409\) | 14.7164 | − | 8.49650i | 0.727678 | − | 0.420125i | −0.0898942 | − | 0.995951i | \(-0.528653\pi\) |
0.817572 | + | 0.575826i | \(0.195320\pi\) | |||||||
\(410\) | 11.1703 | − | 0.304261i | 0.551663 | − | 0.0150264i | ||||
\(411\) | −19.5303 | − | 11.2758i | −0.963360 | − | 0.556196i | ||||
\(412\) | −4.72839 | + | 27.7453i | −0.232951 | + | 1.36691i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −20.9916 | + | 6.68484i | −1.03168 | + | 0.328542i | ||||
\(415\) | 3.44613 | + | 13.9293i | 0.169164 | + | 0.683764i | ||||
\(416\) | 4.92474 | − | 2.65406i | 0.241455 | − | 0.130126i | ||||
\(417\) | 17.7364 | − | 66.1930i | 0.868554 | − | 3.24149i | ||||
\(418\) | 3.01378 | + | 4.70089i | 0.147409 | + | 0.229928i | ||||
\(419\) | 3.87556 | 0.189334 | 0.0946668 | − | 0.995509i | \(-0.469821\pi\) | ||||
0.0946668 | + | 0.995509i | \(0.469821\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 20.7160 | 1.00964 | 0.504818 | − | 0.863226i | \(-0.331560\pi\) | ||||
0.504818 | + | 0.863226i | \(0.331560\pi\) | |||||||
\(422\) | −14.9215 | − | 23.2745i | −0.726367 | − | 1.13299i | ||||
\(423\) | 5.07039 | − | 18.9230i | 0.246531 | − | 0.920066i | ||||
\(424\) | 0.339899 | − | 2.76536i | 0.0165069 | − | 0.134298i | ||||
\(425\) | −22.5392 | + | 5.11747i | −1.09331 | + | 0.248234i | ||||
\(426\) | 52.9995 | − | 16.8779i | 2.56783 | − | 0.817735i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −39.5485 | − | 6.73991i | −1.91165 | − | 0.325786i | ||||
\(429\) | 3.88775 | + | 2.24459i | 0.187702 | + | 0.108370i | ||||
\(430\) | −8.11376 | − | 7.68347i | −0.391280 | − | 0.370530i | ||||
\(431\) | −8.46015 | + | 4.88447i | −0.407511 | + | 0.235277i | −0.689720 | − | 0.724076i | \(-0.742266\pi\) |
0.282209 | + | 0.959353i | \(0.408933\pi\) | |||||||
\(432\) | 56.7778 | + | 4.31201i | 2.73172 | + | 0.207462i | ||||
\(433\) | 7.00877 | − | 7.00877i | 0.336820 | − | 0.336820i | −0.518349 | − | 0.855169i | \(-0.673453\pi\) |
0.855169 | + | 0.518349i | \(0.173453\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −24.2981 | − | 25.2530i | −1.16501 | − | 1.21079i | ||||
\(436\) | 0.188544 | + | 2.02151i | 0.00902962 | + | 0.0968128i | ||||
\(437\) | −1.52681 | + | 5.69814i | −0.0730373 | + | 0.272579i | ||||
\(438\) | 1.40645 | + | 30.2246i | 0.0672030 | + | 1.44419i | ||||
\(439\) | 2.21290 | − | 3.83285i | 0.105616 | − | 0.182932i | −0.808374 | − | 0.588670i | \(-0.799652\pi\) |
0.913990 | + | 0.405737i | \(0.132985\pi\) | |||||||
\(440\) | −1.06716 | − | 8.83309i | −0.0508750 | − | 0.421101i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.74315 | − | 2.96880i | −0.273174 | − | 0.141211i | ||||
\(443\) | −4.25183 | + | 1.13928i | −0.202011 | + | 0.0541286i | −0.358405 | − | 0.933566i | \(-0.616679\pi\) |
0.156395 | + | 0.987695i | \(0.450013\pi\) | |||||||
\(444\) | −48.5523 | − | 22.3023i | −2.30419 | − | 1.05842i | ||||
\(445\) | 0.501006 | + | 0.907721i | 0.0237500 | + | 0.0430301i | ||||
\(446\) | −18.6493 | − | 4.07840i | −0.883071 | − | 0.193118i | ||||
\(447\) | 15.1604 | − | 15.1604i | 0.717062 | − | 0.717062i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 21.8355i | − | 1.03048i | −0.857046 | − | 0.515240i | \(-0.827703\pi\) | ||
0.857046 | − | 0.515240i | \(-0.172297\pi\) | |||||||
\(450\) | −26.5649 | − | 45.1771i | −1.25228 | − | 2.12967i | ||||
\(451\) | 4.30514 | − | 2.48557i | 0.202721 | − | 0.117041i | ||||
\(452\) | −7.26482 | − | 19.6094i | −0.341708 | − | 0.922348i | ||||
\(453\) | 17.0258 | + | 63.5411i | 0.799941 | + | 2.98542i | ||||
\(454\) | −24.8631 | + | 7.91772i | −1.16688 | + | 0.371597i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 15.4186 | − | 20.4557i | 0.722041 | − | 0.957928i | ||||
\(457\) | 21.2792 | − | 5.70175i | 0.995400 | − | 0.266717i | 0.275883 | − | 0.961191i | \(-0.411030\pi\) |
0.719517 | + | 0.694475i | \(0.244363\pi\) | |||||||
\(458\) | 22.0623 | − | 1.02664i | 1.03090 | − | 0.0479715i | ||||
\(459\) | −32.9019 | − | 56.9877i | −1.53573 | − | 2.65996i | ||||
\(460\) | 6.13874 | − | 7.11795i | 0.286220 | − | 0.331876i | ||||
\(461\) | −19.7670 | −0.920641 | −0.460321 | − | 0.887753i | \(-0.652266\pi\) | ||||
−0.460321 | + | 0.887753i | \(0.652266\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.5239 | + | 14.5239i | 0.674983 | + | 0.674983i | 0.958861 | − | 0.283877i | \(-0.0916209\pi\) |
−0.283877 | + | 0.958861i | \(0.591621\pi\) | |||||||
\(464\) | −14.7387 | + | 12.6581i | −0.684228 | + | 0.587636i | ||||
\(465\) | 7.35973 | − | 25.4917i | 0.341299 | − | 1.18215i | ||||
\(466\) | 3.99645 | + | 3.64106i | 0.185132 | + | 0.168669i | ||||
\(467\) | 7.29665 | + | 27.2315i | 0.337649 | + | 1.26012i | 0.900969 | + | 0.433884i | \(0.142857\pi\) |
−0.563320 | + | 0.826239i | \(0.690476\pi\) | |||||||
\(468\) | 2.46282 | − | 14.4513i | 0.113844 | − | 0.668014i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 2.38236 | + | 8.01178i | 0.109890 | + | 0.369556i | ||||
\(471\) | −49.6551 | − | 28.6684i | −2.28799 | − | 1.32097i | ||||
\(472\) | 15.7499 | − | 12.3019i | 0.724946 | − | 0.566242i | ||||
\(473\) | −4.80176 | − | 1.28663i | −0.220785 | − | 0.0591592i | ||||
\(474\) | −2.67157 | − | 0.584244i | −0.122709 | − | 0.0268352i | ||||
\(475\) | −14.0233 | − | 0.540678i | −0.643432 | − | 0.0248080i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.16257 | − | 5.16257i | −0.236378 | − | 0.236378i | ||||
\(478\) | 18.4241 | − | 11.8118i | 0.842698 | − | 0.540260i | ||||
\(479\) | 0.709375 | + | 1.22867i | 0.0324122 | + | 0.0561395i | 0.881776 | − | 0.471668i | \(-0.156348\pi\) |
−0.849364 | + | 0.527807i | \(0.823014\pi\) | |||||||
\(480\) | −36.2960 | + | 18.6674i | −1.65668 | + | 0.852047i | ||||
\(481\) | −4.09391 | + | 7.09086i | −0.186666 | + | 0.323315i | ||||
\(482\) | −36.1334 | − | 18.6784i | −1.64583 | − | 0.850777i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.4330 | + | 14.7195i | 0.474225 | + | 0.669067i | ||||
\(485\) | 6.07987 | + | 24.5749i | 0.276072 | + | 1.11589i | ||||
\(486\) | 32.1557 | − | 35.2944i | 1.45861 | − | 1.60099i | ||||
\(487\) | 32.5132 | + | 8.71188i | 1.47331 | + | 0.394773i | 0.904066 | − | 0.427393i | \(-0.140568\pi\) |
0.569247 | + | 0.822166i | \(0.307235\pi\) | |||||||
\(488\) | 5.76471 | + | 2.32995i | 0.260956 | + | 0.105472i | ||||
\(489\) | − | 56.1067i | − | 2.53723i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 3.16673i | − | 0.142913i | −0.997444 | − | 0.0714563i | \(-0.977235\pi\) | ||
0.997444 | − | 0.0714563i | \(-0.0227647\pi\) | |||||||
\(492\) | −17.5529 | − | 14.5580i | −0.791346 | − | 0.656324i | ||||
\(493\) | 21.6871 | + | 5.81103i | 0.976736 | + | 0.261716i | ||||
\(494\) | −2.90177 | − | 2.64372i | −0.130557 | − | 0.118946i | ||||
\(495\) | −19.9629 | − | 12.0443i | −0.897265 | − | 0.541350i | ||||
\(496\) | −13.8792 | − | 4.87213i | −0.623195 | − | 0.218765i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 13.4470 | − | 26.0133i | 0.602576 | − | 1.16568i | ||||
\(499\) | −3.72451 | + | 6.45105i | −0.166732 | + | 0.288789i | −0.937269 | − | 0.348607i | \(-0.886655\pi\) |
0.770537 | + | 0.637395i | \(0.219988\pi\) | |||||||
\(500\) | 19.7463 | + | 10.4920i | 0.883083 | + | 0.469217i | ||||
\(501\) | −15.7195 | − | 27.2270i | −0.702297 | − | 1.21641i | ||||
\(502\) | 19.8668 | + | 30.9883i | 0.886701 | + | 1.38308i | ||||
\(503\) | −19.3043 | − | 19.3043i | −0.860736 | − | 0.860736i | 0.130687 | − | 0.991424i | \(-0.458282\pi\) |
−0.991424 | + | 0.130687i | \(0.958282\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.259830 | + | 13.4832i | −0.0115623 | + | 0.599994i | ||||
\(506\) | 0.893334 | − | 4.08495i | 0.0397135 | − | 0.181598i | ||||
\(507\) | 37.4697 | + | 10.0400i | 1.66409 | + | 0.445891i | ||||
\(508\) | 8.71658 | + | 23.5280i | 0.386736 | + | 1.04389i | ||||
\(509\) | −9.85817 | − | 5.69161i | −0.436956 | − | 0.252276i | 0.265350 | − | 0.964152i | \(-0.414513\pi\) |
−0.702305 | + | 0.711876i | \(0.747846\pi\) | |||||||
\(510\) | 41.4754 | + | 22.4629i | 1.83656 | + | 0.994672i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 9.19554 | + | 20.6747i | 0.406390 | + | 0.913700i | ||||
\(513\) | −10.3411 | − | 38.5934i | −0.456570 | − | 1.70394i | ||||
\(514\) | −21.9821 | + | 24.1278i | −0.969590 | + | 1.06423i | ||||
\(515\) | −30.2326 | − | 8.72849i | −1.33221 | − | 0.384623i | ||||
\(516\) | 2.11775 | + | 22.7058i | 0.0932286 | + | 0.999568i | ||||
\(517\) | 2.62931 | + | 2.62931i | 0.115637 | + | 0.115637i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −79.8313 | −3.50421 | ||||||||
\(520\) | 2.33179 | + | 5.80380i | 0.102256 | + | 0.254514i | ||||
\(521\) | 0.617798 | + | 1.07006i | 0.0270662 | + | 0.0468801i | 0.879241 | − | 0.476377i | \(-0.158050\pi\) |
−0.852175 | + | 0.523257i | \(0.824717\pi\) | |||||||
\(522\) | 2.36648 | + | 50.8554i | 0.103578 | + | 2.22588i | ||||
\(523\) | −6.09797 | + | 1.63395i | −0.266646 | + | 0.0714474i | −0.389665 | − | 0.920957i | \(-0.627409\pi\) |
0.123019 | + | 0.992404i | \(0.460742\pi\) | |||||||
\(524\) | −21.4548 | + | 15.2068i | −0.937256 | + | 0.664314i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.87059 | − | 15.2945i | −0.212368 | − | 0.666872i | ||||
\(527\) | 4.39965 | + | 16.4197i | 0.191652 | + | 0.715254i | ||||
\(528\) | −10.2433 | + | 14.9920i | −0.445784 | + | 0.652443i | ||||
\(529\) | −16.0929 | + | 9.29126i | −0.699693 | + | 0.403968i | ||||
\(530\) | 3.02973 | + | 0.724004i | 0.131603 | + | 0.0314487i | ||||
\(531\) | − | 52.3691i | − | 2.27262i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.47109 | + | 2.47109i | −0.107035 | + | 0.107035i | ||||
\(534\) | 0.452033 | − | 2.06702i | 0.0195614 | − | 0.0894485i | ||||
\(535\) | 12.4417 | − | 43.0940i | 0.537901 | − | 1.86312i | ||||
\(536\) | −1.10265 | + | 8.97100i | −0.0476274 | + | 0.387488i | ||||
\(537\) | 64.0665 | − | 17.1666i | 2.76467 | − | 0.740792i | ||||
\(538\) | −17.6756 | + | 34.1934i | −0.762048 | + | 1.47418i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −11.9024 | + | 62.5398i | −0.512197 | + | 2.69128i | ||||
\(541\) | 16.1355 | − | 27.9475i | 0.693719 | − | 1.20156i | −0.276891 | − | 0.960901i | \(-0.589304\pi\) |
0.970611 | − | 0.240656i | \(-0.0773624\pi\) | |||||||
\(542\) | 0.220149 | − | 0.0102443i | 0.00945620 | − | 0.000440029i | ||||
\(543\) | −6.56407 | + | 24.4975i | −0.281691 | + | 1.05129i | ||||
\(544\) | 13.7324 | − | 22.2531i | 0.588772 | − | 0.954095i | ||||
\(545\) | −2.26951 | − | 0.0437350i | −0.0972150 | − | 0.00187340i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −17.6256 | + | 17.6256i | −0.753617 | + | 0.753617i | −0.975152 | − | 0.221536i | \(-0.928893\pi\) |
0.221536 | + | 0.975152i | \(0.428893\pi\) | |||||||
\(548\) | −10.7592 | − | 8.92341i | −0.459609 | − | 0.381189i | ||||
\(549\) | 14.1104 | − | 8.14662i | 0.602215 | − | 0.347689i | ||||
\(550\) | 9.94719 | − | 0.0792139i | 0.424150 | − | 0.00337769i | ||||
\(551\) | 11.8061 | + | 6.81625i | 0.502957 | + | 0.290382i | ||||
\(552\) | −18.9956 | + | 2.66721i | −0.808507 | + | 0.113524i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 8.98286 | + | 28.2078i | 0.381645 | + | 1.19843i | ||||
\(555\) | 30.8593 | − | 51.1479i | 1.30990 | − | 2.17111i | ||||
\(556\) | 17.7299 | − | 38.5981i | 0.751914 | − | 1.63692i | ||||
\(557\) | 1.60273 | − | 5.98149i | 0.0679101 | − | 0.253444i | −0.923622 | − | 0.383304i | \(-0.874786\pi\) |
0.991532 | + | 0.129860i | \(0.0414528\pi\) | |||||||
\(558\) | −32.4493 | + | 20.8035i | −1.37369 | + | 0.880682i | ||||
\(559\) | 3.49465 | 0.147808 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 20.9833 | 0.885915 | ||||||||
\(562\) | −3.05205 | + | 1.95669i | −0.128743 | + | 0.0825380i | ||||
\(563\) | −1.32949 | + | 4.96172i | −0.0560313 | + | 0.209112i | −0.988266 | − | 0.152742i | \(-0.951189\pi\) |
0.932235 | + | 0.361854i | \(0.117856\pi\) | |||||||
\(564\) | 7.12011 | − | 15.5005i | 0.299811 | − | 0.652690i | ||||
\(565\) | 22.6959 | − | 5.61499i | 0.954823 | − | 0.236224i | ||||
\(566\) | 8.82925 | + | 27.7254i | 0.371121 | + | 1.16539i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 34.1410 | − | 4.79380i | 1.43253 | − | 0.201143i | ||||
\(569\) | −30.0136 | − | 17.3284i | −1.25824 | − | 0.726442i | −0.285504 | − | 0.958378i | \(-0.592161\pi\) |
−0.972731 | + | 0.231935i | \(0.925494\pi\) | |||||||
\(570\) | 20.7950 | + | 19.6922i | 0.871005 | + | 0.824814i | ||||
\(571\) | −28.9237 | + | 16.6991i | −1.21042 | + | 0.698836i | −0.962851 | − | 0.270034i | \(-0.912965\pi\) |
−0.247569 | + | 0.968870i | \(0.579632\pi\) | |||||||
\(572\) | 2.14174 | + | 1.77631i | 0.0895508 | + | 0.0742713i | ||||
\(573\) | −19.7875 | + | 19.7875i | −0.826634 | + | 0.826634i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 7.13910 | + | 7.71168i | 0.297721 | + | 0.321599i | ||||
\(576\) | 57.5287 | + | 14.3590i | 2.39703 | + | 0.598292i | ||||
\(577\) | −8.91664 | + | 33.2773i | −0.371204 | + | 1.38535i | 0.487608 | + | 0.873063i | \(0.337870\pi\) |
−0.858812 | + | 0.512291i | \(0.828797\pi\) | |||||||
\(578\) | −6.17080 | + | 0.287149i | −0.256672 | + | 0.0119438i | ||||
\(579\) | 8.55978 | − | 14.8260i | 0.355732 | − | 0.616146i | ||||
\(580\) | −12.2169 | − | 17.9602i | −0.507281 | − | 0.745755i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 23.7241 | − | 45.8942i | 0.983394 | − | 1.90238i | ||||
\(583\) | 1.33855 | − | 0.358664i | 0.0554372 | − | 0.0148544i | ||||
\(584\) | −2.28792 | + | 18.6141i | −0.0946749 | + | 0.770259i | ||||
\(585\) | 15.7469 | + | 4.54630i | 0.651054 | + | 0.187966i | ||||
\(586\) | 2.01292 | − | 9.20450i | 0.0831531 | − | 0.380234i | ||||
\(587\) | 23.3690 | − | 23.3690i | 0.964544 | − | 0.964544i | −0.0348489 | − | 0.999393i | \(-0.511095\pi\) |
0.999393 | + | 0.0348489i | \(0.0110950\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.3214i | 0.425288i | ||||||||
\(590\) | 11.6946 | + | 19.0389i | 0.481460 | + | 0.783820i | ||||
\(591\) | −48.7811 | + | 28.1638i | −2.00659 | + | 1.15850i | ||||
\(592\) | −27.3439 | − | 18.6828i | −1.12383 | − | 0.767859i | ||||
\(593\) | −1.67934 | − | 6.26739i | −0.0689623 | − | 0.257371i | 0.922834 | − | 0.385197i | \(-0.125867\pi\) |
−0.991797 | + | 0.127826i | \(0.959200\pi\) | |||||||
\(594\) | 8.59374 | + | 26.9859i | 0.352606 | + | 1.10724i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 10.8419 | − | 7.68459i | 0.444101 | − | 0.314773i | ||||
\(597\) | −13.3984 | + | 3.59010i | −0.548362 | + | 0.146933i | ||||
\(598\) | 0.136639 | + | 2.93636i | 0.00558758 | + | 0.120077i | ||||
\(599\) | 8.75860 | + | 15.1703i | 0.357867 | + | 0.619843i | 0.987604 | − | 0.156965i | \(-0.0501709\pi\) |
−0.629737 | + | 0.776808i | \(0.716838\pi\) | |||||||
\(600\) | −16.1931 | − | 42.6629i | −0.661082 | − | 1.74171i | ||||
\(601\) | 2.55297 | 0.104138 | 0.0520689 | − | 0.998643i | \(-0.483418\pi\) | ||||
0.0520689 | + | 0.998643i | \(0.483418\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 16.7477 | + | 16.7477i | 0.682018 | + | 0.682018i | ||||
\(604\) | 3.78648 | + | 40.5975i | 0.154070 | + | 1.65189i | ||||
\(605\) | −17.6601 | + | 9.74727i | −0.717983 | + | 0.396283i | ||||
\(606\) | 18.5347 | − | 20.3438i | 0.752920 | − | 0.826412i | ||||
\(607\) | −5.72830 | − | 21.3783i | −0.232504 | − | 0.867718i | −0.979258 | − | 0.202617i | \(-0.935055\pi\) |
0.746754 | − | 0.665101i | \(-0.231611\pi\) | |||||||
\(608\) | 11.5510 | − | 10.8932i | 0.468457 | − | 0.441779i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.31062 | + | 6.11273i | −0.134043 | + | 0.247497i | ||||
\(611\) | −2.26378 | − | 1.30700i | −0.0915829 | − | 0.0528754i | ||||
\(612\) | −23.8048 | − | 64.2544i | −0.962250 | − | 2.59733i | ||||
\(613\) | −7.79104 | − | 2.08760i | −0.314677 | − | 0.0843175i | 0.0980238 | − | 0.995184i | \(-0.468748\pi\) |
−0.412701 | + | 0.910867i | \(0.635415\pi\) | |||||||
\(614\) | −7.19999 | + | 32.9234i | −0.290568 | + | 1.32868i | ||||
\(615\) | 18.3724 | − | 17.6777i | 0.740849 | − | 0.712835i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −20.7105 | − | 20.7105i | −0.833772 | − | 0.833772i | 0.154258 | − | 0.988031i | \(-0.450701\pi\) |
−0.988031 | + | 0.154258i | \(0.950701\pi\) | |||||||
\(618\) | 34.6591 | + | 54.0612i | 1.39419 | + | 2.17466i | ||||
\(619\) | 15.2502 | + | 26.4141i | 0.612956 | + | 1.06167i | 0.990739 | + | 0.135777i | \(0.0433530\pi\) |
−0.377784 | + | 0.925894i | \(0.623314\pi\) | |||||||
\(620\) | 7.15137 | − | 14.8095i | 0.287206 | − | 0.594763i | ||||
\(621\) | −14.9597 | + | 25.9110i | −0.600314 | + | 1.03977i | ||||
\(622\) | −11.7946 | + | 22.8167i | −0.472921 | + | 0.914866i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4.22784 | − | 12.0438i | 0.169249 | − | 0.482138i | ||||
\(625\) | −14.1299 | + | 20.6239i | −0.565197 | + | 0.824956i | ||||
\(626\) | −1.63964 | − | 1.49382i | −0.0655330 | − | 0.0597052i | ||||
\(627\) | 12.3065 | + | 3.29753i | 0.491476 | + | 0.131691i | ||||
\(628\) | −27.3548 | − | 22.6874i | −1.09157 | − | 0.905326i | ||||
\(629\) | 38.2714i | 1.52598i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.2931i | 0.967092i | 0.875319 | + | 0.483546i | \(0.160651\pi\) | ||||
−0.875319 | + | 0.483546i | \(0.839349\pi\) | |||||||
\(632\) | −1.57154 | − | 0.635173i | −0.0625123 | − | 0.0252658i | ||||
\(633\) | −60.9309 | − | 16.3264i | −2.42178 | − | 0.648915i | ||||
\(634\) | −28.1349 | + | 30.8811i | −1.11738 | + | 1.22644i | ||||
\(635\) | −27.2313 | + | 6.73706i | −1.08064 | + | 0.267352i | ||||
\(636\) | −3.67603 | − | 5.18637i | −0.145764 | − | 0.205653i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −8.58406 | − | 4.43735i | −0.339846 | − | 0.175676i | ||||
\(639\) | 45.1709 | − | 78.2383i | 1.78693 | − | 3.09506i | ||||
\(640\) | −24.1213 | + | 7.62658i | −0.953477 | + | 0.301467i | ||||
\(641\) | −11.2086 | − | 19.4138i | −0.442712 | − | 0.766800i | 0.555178 | − | 0.831732i | \(-0.312650\pi\) |
−0.997890 | + | 0.0649320i | \(0.979317\pi\) | |||||||
\(642\) | −77.0595 | + | 49.4035i | −3.04130 | + | 1.94980i | ||||
\(643\) | 3.56268 | + | 3.56268i | 0.140498 | + | 0.140498i | 0.773858 | − | 0.633359i | \(-0.218325\pi\) |
−0.633359 | + | 0.773858i | \(0.718325\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −25.4913 | − | 0.491236i | −1.00372 | − | 0.0193424i | ||||
\(646\) | −17.9249 | − | 3.91997i | −0.705245 | − | 0.154229i | ||||
\(647\) | −16.0227 | − | 4.29327i | −0.629918 | − | 0.168786i | −0.0702854 | − | 0.997527i | \(-0.522391\pi\) |
−0.559632 | + | 0.828741i | \(0.689058\pi\) | |||||||
\(648\) | 52.8246 | − | 41.2603i | 2.07515 | − | 1.62086i | ||||
\(649\) | 8.60829 | + | 4.97000i | 0.337905 | + | 0.195089i | ||||
\(650\) | −6.74007 | + | 1.86365i | −0.264367 | + | 0.0730983i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.84240 | − | 34.2821i | 0.228806 | − | 1.34259i | ||||
\(653\) | −3.24782 | − | 12.1210i | −0.127097 | − | 0.474332i | 0.872809 | − | 0.488062i | \(-0.162296\pi\) |
−0.999906 | + | 0.0137300i | \(0.995629\pi\) | |||||||
\(654\) | 3.42430 | + | 3.11978i | 0.133901 | + | 0.121993i | ||||
\(655\) | −14.2074 | − | 25.7409i | −0.555129 | − | 1.00578i | ||||
\(656\) | −9.20918 | − | 10.7229i | −0.359558 | − | 0.418660i | ||||
\(657\) | 34.7502 | + | 34.7502i | 1.35573 | + | 1.35573i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 33.3787 | 1.30025 | 0.650126 | − | 0.759827i | \(-0.274716\pi\) | ||||
0.650126 | + | 0.759827i | \(0.274716\pi\) | |||||||
\(660\) | −15.3730 | − | 13.2581i | −0.598393 | − | 0.516073i | ||||
\(661\) | 3.47890 | + | 6.02563i | 0.135313 | + | 0.234370i | 0.925717 | − | 0.378217i | \(-0.123463\pi\) |
−0.790404 | + | 0.612586i | \(0.790129\pi\) | |||||||
\(662\) | 17.8457 | − | 0.830422i | 0.693593 | − | 0.0322753i | ||||
\(663\) | −14.2484 | + | 3.81784i | −0.553361 | + | 0.148273i | ||||
\(664\) | 10.9251 | − | 14.4943i | 0.423977 | − | 0.562488i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −82.6892 | + | 26.3327i | −3.20414 | + | 1.02037i | ||||
\(667\) | −2.64214 | − | 9.86062i | −0.102304 | − | 0.381805i | ||||
\(668\) | −6.76973 | − | 18.2730i | −0.261929 | − | 0.707005i | ||||
\(669\) | −37.7211 | + | 21.7783i | −1.45838 | + | 0.841997i | ||||
\(670\) | −9.82862 | − | 2.34871i | −0.379713 | − | 0.0907387i | ||||
\(671\) | 3.09256i | 0.119387i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.34897 | + | 5.34897i | −0.206188 | + | 0.206188i | −0.802645 | − | 0.596457i | \(-0.796575\pi\) |
0.596457 | + | 0.802645i | \(0.296575\pi\) | |||||||
\(674\) | 8.02127 | + | 1.75416i | 0.308968 | + | 0.0675679i | ||||
\(675\) | −67.9905 | − | 21.0570i | −2.61696 | − | 0.810483i | ||||
\(676\) | 21.8491 | + | 10.0363i | 0.840350 | + | 0.386012i | ||||
\(677\) | −28.9931 | + | 7.76868i | −1.11430 | + | 0.298575i | −0.768573 | − | 0.639762i | \(-0.779033\pi\) |
−0.345723 | + | 0.938337i | \(0.612366\pi\) | |||||||
\(678\) | −42.3851 | − | 21.9101i | −1.62779 | − | 0.841451i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 23.0030 | + | 18.0440i | 0.882127 | + | 0.691955i | ||||
\(681\) | −29.7677 | + | 51.5592i | −1.14070 | + | 1.97575i | ||||
\(682\) | −0.340078 | − | 7.30825i | −0.0130223 | − | 0.279847i | ||||
\(683\) | 4.92938 | − | 18.3967i | 0.188618 | − | 0.703930i | −0.805210 | − | 0.592990i | \(-0.797947\pi\) |
0.993827 | − | 0.110940i | \(-0.0353861\pi\) | |||||||
\(684\) | −3.86372 | − | 41.4257i | −0.147733 | − | 1.58395i | ||||
\(685\) | 11.2615 | − | 10.8357i | 0.430281 | − | 0.414010i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 35.6329 | − | 35.6329i | 1.35948 | − | 1.35948i | ||||
\(688\) | −1.07038 | + | 14.0941i | −0.0408080 | + | 0.537334i | ||||
\(689\) | −0.843665 | + | 0.487090i | −0.0321411 | + | 0.0185567i | ||||
\(690\) | −0.583938 | − | 21.4381i | −0.0222302 | − | 0.816135i | ||||
\(691\) | 24.4705 | + | 14.1281i | 0.930903 | + | 0.537457i | 0.887097 | − | 0.461583i | \(-0.152718\pi\) |
0.0438058 | + | 0.999040i | \(0.486052\pi\) | |||||||
\(692\) | −48.7782 | − | 8.31284i | −1.85427 | − | 0.316007i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 19.9020 | − | 6.33786i | 0.755470 | − | 0.240582i | ||||
\(695\) | 40.6615 | + | 24.5325i | 1.54238 | + | 0.930569i | ||||
\(696\) | −5.40781 | + | 43.9970i | −0.204983 | + | 1.66770i | ||||
\(697\) | −4.22772 | + | 15.7781i | −0.160136 | + | 0.597638i | ||||
\(698\) | −3.85591 | − | 6.01445i | −0.145948 | − | 0.227650i | ||||
\(699\) | 12.3354 | 0.466567 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −26.0149 | −0.982568 | −0.491284 | − | 0.871000i | \(-0.663472\pi\) | ||||
−0.491284 | + | 0.871000i | \(0.663472\pi\) | |||||||
\(702\) | −10.7454 | − | 16.7607i | −0.405560 | − | 0.632593i | ||||
\(703\) | −6.01436 | + | 22.4459i | −0.226836 | + | 0.846563i | ||||
\(704\) | −7.81996 | + | 8.09370i | −0.294726 | + | 0.305043i | ||||
\(705\) | 16.3292 | + | 9.85194i | 0.614992 | + | 0.371046i | ||||
\(706\) | −14.6538 | + | 4.66656i | −0.551504 | + | 0.175628i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 7.66046 | − | 44.9501i | 0.287898 | − | 1.68933i | ||||
\(709\) | −15.2471 | − | 8.80290i | −0.572616 | − | 0.330600i | 0.185578 | − | 0.982630i | \(-0.440584\pi\) |
−0.758193 | + | 0.652030i | \(0.773918\pi\) | |||||||
\(710\) | 1.04952 | + | 38.5310i | 0.0393877 | + | 1.44604i | ||||
\(711\) | −3.84667 | + | 2.22087i | −0.144261 | + | 0.0832893i | ||||
\(712\) | 0.491438 | − | 1.21591i | 0.0184174 | − | 0.0455681i | ||||
\(713\) | 5.46525 | − | 5.46525i | 0.204675 | − | 0.204675i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.24174 | + | 2.15697i | −0.0838363 | + | 0.0806663i | ||||
\(716\) | 40.9332 | − | 3.81779i | 1.52975 | − | 0.142678i | ||||
\(717\) | 12.9239 | − | 48.2328i | 0.482653 | − | 1.80129i | ||||
\(718\) | −0.327803 | − | 7.04445i | −0.0122335 | − | 0.262897i | ||||
\(719\) | 11.5866 | − | 20.0685i | 0.432106 | − | 0.748429i | −0.564949 | − | 0.825126i | \(-0.691104\pi\) |
0.997054 | + | 0.0766969i | \(0.0244374\pi\) | |||||||
\(720\) | −23.1586 | + | 62.1156i | −0.863070 | + | 2.31491i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 13.9727 | + | 7.22290i | 0.520011 | + | 0.268809i | ||||
\(723\) | −89.6445 | + | 24.0202i | −3.33391 | + | 0.893320i | ||||
\(724\) | −6.56167 | + | 14.2848i | −0.243863 | + | 0.530891i | ||||
\(725\) | 21.4839 | − | 11.3233i | 0.797892 | − | 0.420538i | ||||
\(726\) | 40.2146 | + | 8.79448i | 1.49250 | + | 0.326394i | ||||
\(727\) | −15.3777 | + | 15.3777i | −0.570326 | + | 0.570326i | −0.932220 | − | 0.361893i | \(-0.882131\pi\) |
0.361893 | + | 0.932220i | \(0.382131\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 37.8443i | − | 1.40164i | ||||||
\(730\) | −20.3937 | − | 4.87341i | −0.754803 | − | 0.180373i | ||||
\(731\) | 14.1462 | − | 8.16734i | 0.523218 | − | 0.302080i | ||||
\(732\) | 13.3031 | − | 4.92847i | 0.491695 | − | 0.182162i | ||||
\(733\) | −10.8115 | − | 40.3490i | −0.399331 | − | 1.49032i | −0.814276 | − | 0.580478i | \(-0.802866\pi\) |
0.414944 | − | 0.909847i | \(-0.363801\pi\) | |||||||
\(734\) | 21.4725 | − | 6.83800i | 0.792566 | − | 0.252395i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11.8844 | − | 0.348310i | −0.438063 | − | 0.0128389i | ||||
\(737\) | −4.34235 | + | 1.16353i | −0.159953 | + | 0.0428592i | ||||
\(738\) | −36.9990 | + | 1.72169i | −1.36195 | + | 0.0633764i | ||||
\(739\) | 14.4738 | + | 25.0693i | 0.532426 | + | 0.922189i | 0.999283 | + | 0.0378565i | \(0.0120530\pi\) |
−0.466857 | + | 0.884333i | \(0.654614\pi\) | |||||||
\(740\) | 24.1815 | − | 28.0388i | 0.888930 | − | 1.03073i | ||||
\(741\) | −8.95654 | −0.329027 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −23.4115 | − | 23.4115i | −0.858885 | − | 0.858885i | 0.132322 | − | 0.991207i | \(-0.457757\pi\) |
−0.991207 | + | 0.132322i | \(0.957757\pi\) | |||||||
\(744\) | −30.8954 | + | 13.1097i | −1.13268 | + | 0.480625i | ||||
\(745\) | 7.17953 | + | 13.0078i | 0.263038 | + | 0.476570i | ||||
\(746\) | −0.615954 | − | 0.561178i | −0.0225517 | − | 0.0205462i | ||||
\(747\) | −12.3100 | − | 45.9417i | −0.450401 | − | 1.68092i | ||||
\(748\) | 12.8211 | + | 2.18499i | 0.468786 | + | 0.0798912i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 49.4266 | − | 12.6467i | 1.80480 | − | 0.461793i | ||||
\(751\) | −38.1178 | − | 22.0073i | −1.39094 | − | 0.803059i | −0.397520 | − | 0.917593i | \(-0.630129\pi\) |
−0.993419 | + | 0.114534i | \(0.963462\pi\) | |||||||
\(752\) | 5.96457 | − | 8.72964i | 0.217505 | − | 0.318337i | ||||
\(753\) | 81.1249 | + | 21.7373i | 2.95636 | + | 0.792153i | ||||
\(754\) | 6.63623 | + | 1.45127i | 0.241677 | + | 0.0528521i | ||||
\(755\) | −45.5779 | − | 0.878318i | −1.65875 | − | 0.0319653i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 24.7062 | + | 24.7062i | 0.897961 | + | 0.897961i | 0.995256 | − | 0.0972943i | \(-0.0310188\pi\) |
−0.0972943 | + | 0.995256i | \(0.531019\pi\) | |||||||
\(758\) | 28.2855 | − | 18.1341i | 1.02738 | − | 0.658659i | ||||
\(759\) | −4.77032 | − | 8.26243i | −0.173152 | − | 0.299907i | ||||
\(760\) | 10.6555 | + | 14.1976i | 0.386516 | + | 0.515001i | ||||
\(761\) | 2.24848 | − | 3.89448i | 0.0815073 | − | 0.141175i | −0.822390 | − | 0.568924i | \(-0.807360\pi\) |
0.903898 | + | 0.427749i | \(0.140693\pi\) | |||||||
\(762\) | 50.8551 | + | 26.2885i | 1.84229 | + | 0.952331i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −14.1509 | + | 10.0300i | −0.511963 | + | 0.362872i | ||||
\(765\) | 74.3680 | − | 18.3987i | 2.68878 | − | 0.665207i | ||||
\(766\) | −4.09169 | + | 4.49108i | −0.147839 | + | 0.162269i | ||||
\(767\) | −6.74959 | − | 1.80855i | −0.243714 | − | 0.0653029i | ||||
\(768\) | 47.2784 | + | 20.7400i | 1.70601 | + | 0.748391i | ||||
\(769\) | − | 14.9079i | − | 0.537593i | −0.963197 | − | 0.268797i | \(-0.913374\pi\) | ||
0.963197 | − | 0.268797i | \(-0.0866259\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 74.4723i | 2.68206i | ||||||||
\(772\) | 6.77398 | − | 8.16757i | 0.243801 | − | 0.293957i | ||||
\(773\) | −26.7544 | − | 7.16881i | −0.962287 | − | 0.257844i | −0.256719 | − | 0.966486i | \(-0.582642\pi\) |
−0.705568 | + | 0.708642i | \(0.749308\pi\) | |||||||
\(774\) | 27.3797 | + | 24.9449i | 0.984143 | + | 0.896624i | ||||
\(775\) | 15.5575 | + | 9.80011i | 0.558842 | + | 0.352030i | ||||
\(776\) | 19.2747 | − | 25.5717i | 0.691923 | − | 0.917971i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −16.3587 | + | 31.6460i | −0.586489 | + | 1.13456i | ||||
\(779\) | −4.95906 | + | 8.58934i | −0.177677 | + | 0.307745i | ||||
\(780\) | 12.8511 | + | 6.20567i | 0.460142 | + | 0.222199i | ||||
\(781\) | 8.57374 | + | 14.8502i | 0.306793 | + | 0.531380i | ||||
\(782\) | 7.41566 | + | 11.5669i | 0.265183 | + | 0.413633i | ||||
\(783\) | 48.8906 | + | 48.8906i | 1.74721 | + | 1.74721i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 28.6320 | − | 27.5493i | 1.02192 | − | 0.983277i | ||||
\(786\) | −12.8186 | + | 58.6158i | −0.457226 | + | 2.09076i | ||||
\(787\) | −5.43008 | − | 1.45499i | −0.193561 | − | 0.0518646i | 0.160736 | − | 0.986997i | \(-0.448613\pi\) |
−0.354297 | + | 0.935133i | \(0.615280\pi\) | |||||||
\(788\) | −32.7387 | + | 12.1289i | −1.16627 | + | 0.432075i | ||||
\(789\) | −31.7166 | − | 18.3116i | −1.12914 | − | 0.651911i | ||||
\(790\) | 0.902519 | − | 1.66641i | 0.0321102 | − | 0.0592882i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 4.10068 | + | 29.2047i | 0.145711 | + | 1.03774i | ||||
\(793\) | −0.562681 | − | 2.09996i | −0.0199814 | − | 0.0745716i | ||||
\(794\) | 3.68582 | − | 4.04559i | 0.130805 | − | 0.143572i | ||||
\(795\) | 6.22248 | − | 3.43443i | 0.220689 | − | 0.121807i | ||||
\(796\) | −8.56049 | + | 0.798427i | −0.303419 | + | 0.0282995i | ||||
\(797\) | −10.9874 | − | 10.9874i | −0.389195 | − | 0.389195i | 0.485205 | − | 0.874400i | \(-0.338745\pi\) |
−0.874400 | + | 0.485205i | \(0.838745\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.2183 | −0.432252 | ||||||||
\(800\) | −5.45176 | − | 27.7539i | −0.192749 | − | 0.981248i | ||||
\(801\) | −1.71830 | − | 2.97619i | −0.0607133 | − | 0.105159i | ||||
\(802\) | −0.360718 | − | 7.75180i | −0.0127374 | − | 0.273726i | ||||
\(803\) | −9.01005 | + | 2.41424i | −0.317958 | + | 0.0851965i | ||||
\(804\) | 11.9253 | + | 16.8249i | 0.420572 | + | 0.593369i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 1.56063 | + | 4.90067i | 0.0549710 | + | 0.172619i | ||||
\(807\) | 22.7306 | + | 84.8316i | 0.800154 | + | 2.98621i | ||||
\(808\) | 13.4434 | − | 10.5004i | 0.472936 | − | 0.369402i | ||||
\(809\) | 14.4297 | − | 8.33096i | 0.507320 | − | 0.292901i | −0.224412 | − | 0.974494i | \(-0.572046\pi\) |
0.731731 | + | 0.681593i | \(0.238713\pi\) | |||||||
\(810\) | 39.2234 | + | 63.8560i | 1.37817 | + | 2.24367i | ||||
\(811\) | − | 30.5372i | − | 1.07231i | −0.844120 | − | 0.536154i | \(-0.819877\pi\) | ||
0.844120 | − | 0.536154i | \(-0.180123\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.355563 | − | 0.355563i | 0.0124701 | − | 0.0124701i | ||||
\(814\) | 3.51899 | − | 16.0913i | 0.123341 | − | 0.564000i | ||||
\(815\) | 37.3554 | + | 10.7849i | 1.30850 | + | 0.377779i | ||||
\(816\) | −11.0334 | − | 58.6338i | −0.386246 | − | 2.05259i | ||||
\(817\) | 9.58017 | − | 2.56700i | 0.335168 | − | 0.0898079i | ||||
\(818\) | 11.0355 | − | 21.3481i | 0.385846 | − | 0.746420i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 13.0666 | − | 8.88825i | 0.456307 | − | 0.310391i | ||||
\(821\) | 9.24225 | − | 16.0080i | 0.322557 | − | 0.558685i | −0.658458 | − | 0.752617i | \(-0.728791\pi\) |
0.981015 | + | 0.193933i | \(0.0621243\pi\) | |||||||
\(822\) | −31.8584 | + | 1.48248i | −1.11119 | + | 0.0517075i | ||||
\(823\) | 11.0750 | − | 41.3323i | 0.386049 | − | 1.44075i | −0.450457 | − | 0.892798i | \(-0.648739\pi\) |
0.836507 | − | 0.547957i | \(-0.184594\pi\) | |||||||
\(824\) | 15.5478 | + | 36.6413i | 0.541634 | + | 1.27646i | ||||
\(825\) | 16.6553 | − | 15.4187i | 0.579863 | − | 0.536809i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 22.7990 | − | 22.7990i | 0.792801 | − | 0.792801i | −0.189148 | − | 0.981949i | \(-0.560573\pi\) |
0.981949 | + | 0.189148i | \(0.0605726\pi\) | |||||||
\(828\) | −19.8892 | + | 23.9809i | −0.691198 | + | 0.833395i | ||||
\(829\) | 29.0025 | − | 16.7446i | 1.00730 | − | 0.581563i | 0.0968981 | − | 0.995294i | \(-0.469108\pi\) |
0.910399 | + | 0.413731i | \(0.135775\pi\) | |||||||
\(830\) | 14.7347 | + | 13.9533i | 0.511448 | + | 0.484324i | ||||
\(831\) | 58.4953 | + | 33.7723i | 2.02918 | + | 1.17155i | ||||
\(832\) | 3.83740 | − | 6.91871i | 0.133038 | − | 0.239863i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −29.4072 | − | 92.3440i | −1.01829 | − | 3.19761i | ||||
\(835\) | 21.1492 | − | 5.23233i | 0.731898 | − | 0.181072i | ||||
\(836\) | 7.17612 | + | 3.29632i | 0.248191 | + | 0.114006i | ||||
\(837\) | −13.5488 | + | 50.5649i | −0.468316 | + | 1.74778i | ||||
\(838\) | 4.61406 | − | 2.95811i | 0.159390 | − | 0.102186i | ||||
\(839\) | −6.43773 | −0.222255 | −0.111127 | − | 0.993806i | \(-0.535446\pi\) | ||||
−0.111127 | + | 0.993806i | \(0.535446\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.40897 | 0.186516 | ||||||||
\(842\) | 24.6635 | − | 15.8119i | 0.849959 | − | 0.544916i | ||||
\(843\) | −2.14092 | + | 7.99001i | −0.0737371 | + | 0.275190i | ||||
\(844\) | −35.5296 | − | 16.3204i | −1.22298 | − | 0.561772i | ||||
\(845\) | −13.8870 | + | 23.0171i | −0.477728 | + | 0.791814i | ||||
\(846\) | −8.40681 | − | 26.3989i | −0.289032 | − | 0.907612i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.70605 | − | 3.55174i | −0.0585862 | − | 0.121967i | ||||
\(849\) | 57.4949 | + | 33.1947i | 1.97322 | + | 1.13924i | ||||
\(850\) | −22.9281 | + | 23.2962i | −0.786426 | + | 0.799052i | ||||
\(851\) | 15.0698 | − | 8.70057i | 0.516587 | − | 0.298252i | ||||
\(852\) | 50.2163 | − | 60.5471i | 1.72038 | − | 2.07431i | ||||
\(853\) | 10.0581 | − | 10.0581i | 0.344383 | − | 0.344383i | −0.513629 | − | 0.858012i | \(-0.671699\pi\) |
0.858012 | + | 0.513629i | \(0.171699\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 46.5077 | + | 0.896235i | 1.59053 | + | 0.0306506i | ||||
\(856\) | −52.2289 | + | 22.1621i | −1.78515 | + | 0.757484i | ||||
\(857\) | −0.134823 | + | 0.503168i | −0.00460548 | + | 0.0171879i | −0.968190 | − | 0.250215i | \(-0.919499\pi\) |
0.963585 | + | 0.267403i | \(0.0861654\pi\) | |||||||
\(858\) | 6.34180 | − | 0.295106i | 0.216506 | − | 0.0100747i | ||||
\(859\) | 2.00473 | − | 3.47230i | 0.0684006 | − | 0.118473i | −0.829797 | − | 0.558066i | \(-0.811544\pi\) |
0.898197 | + | 0.439592i | \(0.144877\pi\) | |||||||
\(860\) | −15.5244 | − | 2.95457i | −0.529379 | − | 0.100750i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.34407 | + | 12.2726i | −0.216080 | + | 0.418007i | ||||
\(863\) | −14.3236 | + | 3.83800i | −0.487581 | + | 0.130647i | −0.494231 | − | 0.869331i | \(-0.664550\pi\) |
0.00664926 | + | 0.999978i | \(0.497883\pi\) | |||||||
\(864\) | 70.8882 | − | 38.2032i | 2.41166 | − | 1.29970i | ||||
\(865\) | 15.3453 | − | 53.1511i | 0.521756 | − | 1.80719i | ||||
\(866\) | 2.99471 | − | 13.6939i | 0.101764 | − | 0.465338i | ||||
\(867\) | −9.96649 | + | 9.96649i | −0.338480 | + | 0.338480i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 0.843073i | − | 0.0285993i | ||||||
\(870\) | −48.2031 | − | 11.5189i | −1.63424 | − | 0.390529i | ||||
\(871\) | 2.73690 | − | 1.58015i | 0.0927364 | − | 0.0535414i | ||||
\(872\) | 1.76744 | + | 2.26280i | 0.0598529 | + | 0.0766282i | ||||
\(873\) | −21.7181 | − | 81.0531i | −0.735046 | − | 2.74323i | ||||
\(874\) | 2.53148 | + | 7.94930i | 0.0856287 | + | 0.268889i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 24.7440 | + | 34.9104i | 0.836024 | + | 1.17951i | ||||
\(877\) | 29.9552 | − | 8.02646i | 1.01151 | − | 0.271034i | 0.285252 | − | 0.958453i | \(-0.407923\pi\) |
0.726262 | + | 0.687418i | \(0.241256\pi\) | |||||||
\(878\) | −0.290939 | − | 6.25225i | −0.00981871 | − | 0.211003i | ||||
\(879\) | −10.7488 | − | 18.6175i | −0.362548 | − | 0.627952i | ||||
\(880\) | −8.01257 | − | 9.70173i | −0.270104 | − | 0.327045i | ||||
\(881\) | 26.6186 | 0.896802 | 0.448401 | − | 0.893833i | \(-0.351994\pi\) | ||||
0.448401 | + | 0.893833i | \(0.351994\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −20.2772 | − | 20.2772i | −0.682383 | − | 0.682383i | 0.278154 | − | 0.960537i | \(-0.410278\pi\) |
−0.960537 | + | 0.278154i | \(0.910278\pi\) | |||||||
\(884\) | −9.10352 | + | 0.849075i | −0.306185 | + | 0.0285575i | ||||
\(885\) | 48.9799 | + | 14.1410i | 1.64644 | + | 0.475345i | ||||
\(886\) | −4.19245 | + | 4.60167i | −0.140848 | + | 0.154596i | ||||
\(887\) | −11.0601 | − | 41.2767i | −0.371361 | − | 1.38594i | −0.858590 | − | 0.512663i | \(-0.828659\pi\) |
0.487229 | − | 0.873274i | \(-0.338008\pi\) | |||||||
\(888\) | −74.8268 | + | 10.5066i | −2.51102 | + | 0.352577i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 1.28931 | + | 0.698285i | 0.0432179 | + | 0.0234066i | ||||
\(891\) | 28.8720 | + | 16.6692i | 0.967247 | + | 0.558440i | ||||
\(892\) | −25.3159 | + | 9.37896i | −0.847640 | + | 0.314031i | ||||
\(893\) | −7.16594 | − | 1.92011i | −0.239799 | − | 0.0642540i | ||||
\(894\) | 6.47774 | − | 29.6208i | 0.216648 | − | 0.990667i | ||||
\(895\) | −0.885581 | + | 45.9548i | −0.0296017 | + | 1.53610i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.74253 | + | 4.74253i | 0.158348 | + | 0.158348i | ||||
\(898\) | −16.6664 | − | 25.9963i | −0.556166 | − | 0.867508i | ||||
\(899\) | −8.93063 | − | 15.4683i | −0.297853 | − | 0.515897i | ||||
\(900\) | −66.1094 | − | 33.5095i | −2.20365 | − | 1.11698i | ||||
\(901\) | −2.27675 | + | 3.94345i | −0.0758496 | + | 0.131375i | ||||
\(902\) | 3.22832 | − | 6.24520i | 0.107491 | − | 0.207942i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −23.6164 | − | 17.8010i | −0.785471 | − | 0.592051i | ||||
\(905\) | −15.0485 | − | 9.07925i | −0.500228 | − | 0.301804i | ||||
\(906\) | 68.7692 | + | 62.6537i | 2.28471 | + | 2.08153i | ||||
\(907\) | 1.18466 | + | 0.317430i | 0.0393361 | + | 0.0105401i | 0.278433 | − | 0.960456i | \(-0.410185\pi\) |
−0.239097 | + | 0.970996i | \(0.576852\pi\) | |||||||
\(908\) | −23.5574 | + | 28.4037i | −0.781780 | + | 0.942611i | ||||
\(909\) | − | 44.6999i | − | 1.48260i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 13.4236i | − | 0.444743i | −0.974962 | − | 0.222372i | \(-0.928620\pi\) | ||
0.974962 | − | 0.222372i | \(-0.0713799\pi\) | |||||||
\(912\) | 2.74331 | − | 36.1222i | 0.0908401 | − | 1.19613i | ||||
\(913\) | 8.72004 | + | 2.33653i | 0.288591 | + | 0.0773277i | ||||
\(914\) | 20.9820 | − | 23.0301i | 0.694024 | − | 0.761767i | ||||
\(915\) | 3.80922 | + | 15.3970i | 0.125929 | + | 0.509008i | ||||
\(916\) | 25.4827 | − | 18.0618i | 0.841974 | − | 0.596779i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −82.6686 | − | 42.7338i | −2.72847 | − | 1.41042i | ||||
\(919\) | −13.1243 | + | 22.7320i | −0.432931 | + | 0.749858i | −0.997124 | − | 0.0757845i | \(-0.975854\pi\) |
0.564193 | + | 0.825643i | \(0.309187\pi\) | |||||||
\(920\) | 1.87556 | − | 13.1598i | 0.0618353 | − | 0.433867i | ||||
\(921\) | 38.4473 | + | 66.5926i | 1.26688 | + | 2.19430i | ||||
\(922\) | −23.5337 | + | 15.0876i | −0.775040 | + | 0.496884i | ||||
\(923\) | −8.52380 | − | 8.52380i | −0.280564 | − | 0.280564i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.1221 | + | 30.3776i | 0.924649 | + | 0.998809i | ||||
\(926\) | 28.3772 | + | 6.20577i | 0.932532 | + | 0.203934i | ||||
\(927\) | 100.748 | + | 26.9955i | 3.30901 | + | 0.886647i | ||||
\(928\) | −7.88567 | + | 26.3197i | −0.258860 | + | 0.863988i | ||||
\(929\) | −17.2412 | − | 9.95422i | −0.565666 | − | 0.326587i | 0.189751 | − | 0.981832i | \(-0.439232\pi\) |
−0.755416 | + | 0.655245i | \(0.772565\pi\) | |||||||
\(930\) | −10.6950 | − | 35.9667i | −0.350702 | − | 1.17940i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 7.53711 | + | 1.28448i | 0.246886 | + | 0.0420747i | ||||
\(933\) | 15.1677 | + | 56.6067i | 0.496569 | + | 1.85322i | ||||
\(934\) | 29.4721 | + | 26.8512i | 0.964356 | + | 0.878597i | ||||
\(935\) | −4.03344 | + | 13.9705i | −0.131908 | + | 0.456885i | ||||
\(936\) | −8.09820 | − | 19.0849i | −0.264698 | − | 0.623809i | ||||
\(937\) | −3.76752 | − | 3.76752i | −0.123080 | − | 0.123080i | 0.642884 | − | 0.765964i | \(-0.277738\pi\) |
−0.765964 | + | 0.642884i | \(0.777738\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −5.06087 | −0.165155 | ||||||||
\(940\) | 8.95150 | + | 7.72005i | 0.291966 | + | 0.251800i | ||||
\(941\) | −2.41962 | − | 4.19090i | −0.0788772 | − | 0.136619i | 0.823889 | − | 0.566752i | \(-0.191800\pi\) |
−0.902766 | + | 0.430133i | \(0.858467\pi\) | |||||||
\(942\) | −80.9988 | + | 3.76915i | −2.63908 | + | 0.122806i | ||||
\(943\) | 7.17394 | − | 1.92225i | 0.233616 | − | 0.0625971i | ||||
\(944\) | 9.36132 | − | 26.6675i | 0.304685 | − | 0.867954i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −6.69879 | + | 2.13325i | −0.217797 | + | 0.0693580i | ||||
\(947\) | −8.02761 | − | 29.9595i | −0.260862 | − | 0.973551i | −0.964735 | − | 0.263225i | \(-0.915214\pi\) |
0.703872 | − | 0.710327i | \(-0.251453\pi\) | |||||||
\(948\) | −3.62659 | + | 1.34357i | −0.117786 | + | 0.0436370i | ||||
\(949\) | 5.67887 | − | 3.27870i | 0.184344 | − | 0.106431i | ||||
\(950\) | −17.1081 | + | 10.0599i | −0.555061 | + | 0.326386i | ||||
\(951\) | 95.3170i | 3.09086i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 22.3422 | − | 22.3422i | 0.723734 | − | 0.723734i | −0.245630 | − | 0.969364i | \(-0.578995\pi\) |
0.969364 | + | 0.245630i | \(0.0789947\pi\) | |||||||
\(954\) | −10.0868 | − | 2.20586i | −0.326571 | − | 0.0714174i | ||||
\(955\) | −9.37078 | − | 16.9779i | −0.303231 | − | 0.549393i | ||||
\(956\) | 12.9192 | − | 28.1252i | 0.417837 | − | 0.909634i | ||||
\(957\) | −21.2965 | + | 5.70637i | −0.688417 | + | 0.184461i | ||||
\(958\) | 1.78236 | + | 0.921354i | 0.0575855 | + | 0.0297676i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −28.9640 | + | 49.9283i | −0.934808 | + | 1.61143i | ||||
\(961\) | −8.73844 | + | 15.1354i | −0.281885 | + | 0.488239i | ||||
\(962\) | 0.538243 | + | 11.5668i | 0.0173537 | + | 0.372929i | ||||
\(963\) | −38.4796 | + | 143.608i | −1.23999 | + | 4.62770i | ||||
\(964\) | −57.2754 | + | 5.34201i | −1.84472 | + | 0.172055i | ||||
\(965\) | 8.22565 | + | 8.54890i | 0.264793 | + | 0.275199i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.85634 | − | 8.85634i | 0.284801 | − | 0.284801i | −0.550219 | − | 0.835020i | \(-0.685456\pi\) |
0.835020 | + | 0.550219i | \(0.185456\pi\) | |||||||
\(968\) | 23.6560 | + | 9.56111i | 0.760331 | + | 0.307306i | ||||
\(969\) | −36.2558 | + | 20.9323i | −1.16470 | + | 0.672442i | ||||
\(970\) | 25.9958 | + | 24.6172i | 0.834674 | + | 0.790409i | ||||
\(971\) | 8.19063 | + | 4.72886i | 0.262850 | + | 0.151756i | 0.625634 | − | 0.780117i | \(-0.284840\pi\) |
−0.362784 | + | 0.931873i | \(0.618174\pi\) | |||||||
\(972\) | 11.3438 | − | 66.5634i | 0.363854 | − | 2.13502i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 45.3582 | − | 14.4445i | 1.45337 | − | 0.462831i | ||||
\(975\) | −8.50414 | + | 13.5002i | −0.272350 | + | 0.432352i | ||||
\(976\) | 8.64158 | − | 1.62613i | 0.276610 | − | 0.0520510i | ||||
\(977\) | −15.9873 | + | 59.6654i | −0.511479 | + | 1.90886i | −0.107173 | + | 0.994240i | \(0.534180\pi\) |
−0.404305 | + | 0.914624i | \(0.632487\pi\) | |||||||
\(978\) | −42.8247 | − | 66.7980i | −1.36938 | − | 2.13596i | ||||
\(979\) | 0.652291 | 0.0208473 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 7.52393 | 0.240221 | ||||||||
\(982\) | −2.41708 | − | 3.77016i | −0.0771321 | − | 0.120311i | ||||
\(983\) | 15.3538 | − | 57.3012i | 0.489710 | − | 1.82762i | −0.0681315 | − | 0.997676i | \(-0.521704\pi\) |
0.557842 | − | 0.829947i | \(-0.311630\pi\) | |||||||
\(984\) | −32.0094 | − | 3.93437i | −1.02042 | − | 0.125423i | ||||
\(985\) | −9.37447 | − | 37.8918i | −0.298695 | − | 1.20733i | ||||
\(986\) | 30.2550 | − | 9.63480i | 0.963515 | − | 0.306834i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.47258 | − | 0.932645i | −0.174106 | − | 0.0296714i | ||||
\(989\) | −6.43198 | − | 3.71351i | −0.204525 | − | 0.118083i | ||||
\(990\) | −32.9599 | + | 0.897773i | −1.04754 | + | 0.0285331i | ||||
\(991\) | −15.0202 | + | 8.67190i | −0.477131 | + | 0.275472i | −0.719220 | − | 0.694782i | \(-0.755501\pi\) |
0.242089 | + | 0.970254i | \(0.422167\pi\) | |||||||
\(992\) | −20.2427 | + | 4.79309i | −0.642706 | + | 0.152181i | ||||
\(993\) | 28.8227 | − | 28.8227i | 0.914660 | − | 0.914660i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.185204 | − | 9.61068i | 0.00587137 | − | 0.304679i | ||||
\(996\) | −3.84584 | − | 41.2340i | −0.121860 | − | 1.30655i | ||||
\(997\) | 3.99308 | − | 14.9024i | 0.126462 | − | 0.471964i | −0.873425 | − | 0.486958i | \(-0.838106\pi\) |
0.999888 | + | 0.0149945i | \(0.00477309\pi\) | |||||||
\(998\) | 0.489677 | + | 10.5231i | 0.0155005 | + | 0.333104i | ||||
\(999\) | −58.9289 | + | 102.068i | −1.86443 | + | 3.22928i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))