Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(67,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.bq (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.11 | ||
Character | \(\chi\) | \(=\) | 600.67 |
Dual form | 600.2.bq.a.403.11 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(e\left(\frac{13}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.21959 | + | 0.715968i | −0.862378 | + | 0.506266i | ||||
\(3\) | −0.156434 | + | 0.987688i | −0.0903175 | + | 0.570242i | ||||
\(4\) | 0.974780 | − | 1.74637i | 0.487390 | − | 0.873184i | ||||
\(5\) | 1.86666 | + | 1.23110i | 0.834794 | + | 0.550563i | ||||
\(6\) | −0.516368 | − | 1.31657i | −0.210806 | − | 0.537489i | ||||
\(7\) | −2.13082 | + | 2.13082i | −0.805375 | + | 0.805375i | −0.983930 | − | 0.178555i | \(-0.942858\pi\) |
0.178555 | + | 0.983930i | \(0.442858\pi\) | |||||||
\(8\) | 0.0615147 | + | 2.82776i | 0.0217487 | + | 0.999763i | ||||
\(9\) | −0.951057 | − | 0.309017i | −0.317019 | − | 0.103006i | ||||
\(10\) | −3.15797 | − | 0.164961i | −0.998638 | − | 0.0521654i | ||||
\(11\) | −0.0873587 | − | 0.268863i | −0.0263397 | − | 0.0810651i | 0.937023 | − | 0.349269i | \(-0.113570\pi\) |
−0.963362 | + | 0.268204i | \(0.913570\pi\) | |||||||
\(12\) | 1.57238 | + | 1.23597i | 0.453907 | + | 0.356794i | ||||
\(13\) | −2.99402 | + | 1.52553i | −0.830391 | + | 0.423105i | −0.816883 | − | 0.576803i | \(-0.804300\pi\) |
−0.0135080 | + | 0.999909i | \(0.504300\pi\) | |||||||
\(14\) | 1.07312 | − | 4.12432i | 0.286804 | − | 1.10227i | ||||
\(15\) | −1.50795 | + | 1.65109i | −0.389350 | + | 0.426309i | ||||
\(16\) | −2.09961 | − | 3.40465i | −0.524901 | − | 0.851163i | ||||
\(17\) | −0.216929 | − | 1.36963i | −0.0526129 | − | 0.332185i | −0.999929 | − | 0.0118856i | \(-0.996217\pi\) |
0.947316 | − | 0.320299i | \(-0.103783\pi\) | |||||||
\(18\) | 1.38114 | − | 0.304053i | 0.325538 | − | 0.0716660i | ||||
\(19\) | −0.0549118 | + | 0.0755796i | −0.0125976 | + | 0.0173392i | −0.815269 | − | 0.579082i | \(-0.803411\pi\) |
0.802672 | + | 0.596421i | \(0.203411\pi\) | |||||||
\(20\) | 3.96953 | − | 2.05982i | 0.887613 | − | 0.460590i | ||||
\(21\) | −1.77125 | − | 2.43792i | −0.386519 | − | 0.531998i | ||||
\(22\) | 0.299038 | + | 0.265355i | 0.0637552 | + | 0.0565739i | ||||
\(23\) | −1.84517 | + | 3.62135i | −0.384744 | + | 0.755103i | −0.999433 | − | 0.0336667i | \(-0.989282\pi\) |
0.614689 | + | 0.788770i | \(0.289282\pi\) | |||||||
\(24\) | −2.80257 | − | 0.381601i | −0.572072 | − | 0.0778941i | ||||
\(25\) | 1.96881 | + | 4.59606i | 0.393762 | + | 0.919213i | ||||
\(26\) | 2.55923 | − | 4.00413i | 0.501907 | − | 0.785275i | ||||
\(27\) | 0.453990 | − | 0.891007i | 0.0873705 | − | 0.171474i | ||||
\(28\) | 1.64412 | + | 5.79828i | 0.310709 | + | 1.09577i | ||||
\(29\) | 2.28992 | − | 1.66373i | 0.425228 | − | 0.308946i | −0.354510 | − | 0.935052i | \(-0.615352\pi\) |
0.779738 | + | 0.626106i | \(0.215352\pi\) | |||||||
\(30\) | 0.656946 | − | 3.09329i | 0.119941 | − | 0.564754i | ||||
\(31\) | −5.56242 | + | 7.65602i | −0.999041 | + | 1.37506i | −0.0731285 | + | 0.997323i | \(0.523298\pi\) |
−0.925912 | + | 0.377739i | \(0.876702\pi\) | |||||||
\(32\) | 4.99827 | + | 2.64902i | 0.883578 | + | 0.468284i | ||||
\(33\) | 0.279218 | − | 0.0442238i | 0.0486057 | − | 0.00769838i | ||||
\(34\) | 1.24518 | + | 1.51507i | 0.213546 | + | 0.259833i | ||||
\(35\) | −6.60076 | + | 1.35427i | −1.11573 | + | 0.228913i | ||||
\(36\) | −1.46673 | + | 1.35967i | −0.244455 | + | 0.226612i | ||||
\(37\) | −0.630361 | − | 1.23715i | −0.103631 | − | 0.203387i | 0.833369 | − | 0.552717i | \(-0.186409\pi\) |
−0.937000 | + | 0.349331i | \(0.886409\pi\) | |||||||
\(38\) | 0.0128571 | − | 0.131491i | 0.00208570 | − | 0.0213307i | ||||
\(39\) | −1.03838 | − | 3.19580i | −0.166274 | − | 0.511738i | ||||
\(40\) | −3.36641 | + | 5.35418i | −0.532277 | + | 0.846570i | ||||
\(41\) | 2.92379 | − | 8.99849i | 0.456619 | − | 1.40533i | −0.412605 | − | 0.910910i | \(-0.635381\pi\) |
0.869224 | − | 0.494418i | \(-0.164619\pi\) | |||||||
\(42\) | 3.90567 | + | 1.70509i | 0.602658 | + | 0.263102i | ||||
\(43\) | −5.49497 | + | 5.49497i | −0.837975 | + | 0.837975i | −0.988592 | − | 0.150617i | \(-0.951874\pi\) |
0.150617 | + | 0.988592i | \(0.451874\pi\) | |||||||
\(44\) | −0.554689 | − | 0.109521i | −0.0836225 | − | 0.0165110i | ||||
\(45\) | −1.39487 | − | 1.74767i | −0.207934 | − | 0.260527i | ||||
\(46\) | −0.342426 | − | 5.73762i | −0.0504879 | − | 0.845967i | ||||
\(47\) | 0.289550 | − | 1.82814i | 0.0422352 | − | 0.266662i | −0.957530 | − | 0.288334i | \(-0.906899\pi\) |
0.999765 | + | 0.0216714i | \(0.00689877\pi\) | |||||||
\(48\) | 3.69119 | − | 1.54115i | 0.532777 | − | 0.222446i | ||||
\(49\) | − | 2.08080i | − | 0.297257i | ||||||
\(50\) | −5.69176 | − | 4.19569i | −0.804937 | − | 0.593360i | ||||
\(51\) | 1.38671 | 0.194178 | ||||||||
\(52\) | −0.254376 | + | 6.71571i | −0.0352755 | + | 0.931302i | ||||
\(53\) | −0.674962 | − | 0.106904i | −0.0927132 | − | 0.0146843i | 0.109905 | − | 0.993942i | \(-0.464945\pi\) |
−0.202619 | + | 0.979258i | \(0.564945\pi\) | |||||||
\(54\) | 0.0842514 | + | 1.41170i | 0.0114652 | + | 0.192108i | ||||
\(55\) | 0.167927 | − | 0.609421i | 0.0226432 | − | 0.0821743i | ||||
\(56\) | −6.15653 | − | 5.89437i | −0.822700 | − | 0.787669i | ||||
\(57\) | −0.0660590 | − | 0.0660590i | −0.00874973 | − | 0.00874973i | ||||
\(58\) | −1.60158 | + | 3.66857i | −0.210298 | + | 0.481706i | ||||
\(59\) | −2.89245 | − | 0.939813i | −0.376565 | − | 0.122353i | 0.114619 | − | 0.993410i | \(-0.463435\pi\) |
−0.491183 | + | 0.871056i | \(0.663435\pi\) | |||||||
\(60\) | 1.41349 | + | 4.24288i | 0.182481 | + | 0.547754i | ||||
\(61\) | −11.1166 | + | 3.61199i | −1.42333 | + | 0.462468i | −0.916658 | − | 0.399672i | \(-0.869124\pi\) |
−0.506671 | + | 0.862139i | \(0.669124\pi\) | |||||||
\(62\) | 1.30239 | − | 13.3197i | 0.165404 | − | 1.69160i | ||||
\(63\) | 2.68499 | − | 1.36807i | 0.338277 | − | 0.172361i | ||||
\(64\) | −7.99243 | + | 0.347897i | −0.999054 | + | 0.0434872i | ||||
\(65\) | −7.46687 | − | 0.838285i | −0.926151 | − | 0.103976i | ||||
\(66\) | −0.308868 | + | 0.253846i | −0.0380190 | + | 0.0312463i | ||||
\(67\) | −2.31795 | − | 14.6350i | −0.283183 | − | 1.78795i | −0.561519 | − | 0.827464i | \(-0.689783\pi\) |
0.278336 | − | 0.960484i | \(-0.410217\pi\) | |||||||
\(68\) | −2.60334 | − | 0.956254i | −0.315701 | − | 0.115963i | ||||
\(69\) | −3.28811 | − | 2.38895i | −0.395842 | − | 0.287596i | ||||
\(70\) | 7.08058 | − | 6.37757i | 0.846291 | − | 0.762266i | ||||
\(71\) | 5.56713 | + | 7.66249i | 0.660697 | + | 0.909371i | 0.999504 | − | 0.0314849i | \(-0.0100236\pi\) |
−0.338808 | + | 0.940856i | \(0.610024\pi\) | |||||||
\(72\) | 0.815321 | − | 2.70837i | 0.0960865 | − | 0.319184i | ||||
\(73\) | 7.54080 | + | 3.84223i | 0.882584 | + | 0.449699i | 0.835690 | − | 0.549201i | \(-0.185068\pi\) |
0.0468933 | + | 0.998900i | \(0.485068\pi\) | |||||||
\(74\) | 1.65454 | + | 1.05750i | 0.192336 | + | 0.122931i | ||||
\(75\) | −4.84747 | + | 1.22559i | −0.559737 | + | 0.141519i | ||||
\(76\) | 0.0784629 | + | 0.169570i | 0.00900032 | + | 0.0194510i | ||||
\(77\) | 0.759044 | + | 0.386752i | 0.0865011 | + | 0.0440745i | ||||
\(78\) | 3.55448 | + | 3.15411i | 0.402466 | + | 0.357132i | ||||
\(79\) | −2.61351 | + | 1.89883i | −0.294043 | + | 0.213635i | −0.725019 | − | 0.688728i | \(-0.758169\pi\) |
0.430976 | + | 0.902363i | \(0.358169\pi\) | |||||||
\(80\) | 0.272209 | − | 8.94013i | 0.0304339 | − | 0.999537i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 2.87682 | + | 13.0678i | 0.317691 | + | 1.44309i | ||||
\(83\) | −16.3194 | + | 2.58475i | −1.79129 | + | 0.283713i | −0.961589 | − | 0.274492i | \(-0.911490\pi\) |
−0.829703 | + | 0.558205i | \(0.811490\pi\) | |||||||
\(84\) | −5.98409 | + | 0.716823i | −0.652918 | + | 0.0782118i | ||||
\(85\) | 1.28122 | − | 2.82369i | 0.138968 | − | 0.306272i | ||||
\(86\) | 2.76737 | − | 10.6358i | 0.298413 | − | 1.14689i | ||||
\(87\) | 1.28502 | + | 2.52199i | 0.137769 | + | 0.270386i | ||||
\(88\) | 0.754904 | − | 0.263568i | 0.0804731 | − | 0.0280965i | ||||
\(89\) | 5.80221 | − | 1.88525i | 0.615033 | − | 0.199836i | 0.0150992 | − | 0.999886i | \(-0.495194\pi\) |
0.599934 | + | 0.800050i | \(0.295194\pi\) | |||||||
\(90\) | 2.95243 | + | 1.13275i | 0.311214 | + | 0.119403i | ||||
\(91\) | 3.12909 | − | 9.63034i | 0.328018 | − | 1.00953i | ||||
\(92\) | 4.52557 | + | 6.75236i | 0.471823 | + | 0.703982i | ||||
\(93\) | −6.69161 | − | 6.69161i | −0.693887 | − | 0.693887i | ||||
\(94\) | 0.955762 | + | 2.43689i | 0.0985793 | + | 0.251346i | ||||
\(95\) | −0.195547 | + | 0.0734795i | −0.0200627 | + | 0.00753884i | ||||
\(96\) | −3.39830 | + | 4.52234i | −0.346838 | + | 0.461559i | ||||
\(97\) | 4.23446 | + | 0.670672i | 0.429944 | + | 0.0680965i | 0.367656 | − | 0.929962i | \(-0.380160\pi\) |
0.0622879 | + | 0.998058i | \(0.480160\pi\) | |||||||
\(98\) | 1.48979 | + | 2.53772i | 0.150491 | + | 0.256348i | ||||
\(99\) | 0.282699i | 0.0284123i | ||||||||
\(100\) | 9.94558 | + | 1.04189i | 0.994558 | + | 0.104189i | ||||
\(101\) | − | 1.64913i | − | 0.164095i | −0.996628 | − | 0.0820474i | \(-0.973854\pi\) | ||
0.996628 | − | 0.0820474i | \(-0.0261459\pi\) | |||||||
\(102\) | −1.69121 | + | 0.992836i | −0.167454 | + | 0.0983054i | ||||
\(103\) | 12.5396 | + | 1.98607i | 1.23556 | + | 0.195693i | 0.739836 | − | 0.672787i | \(-0.234903\pi\) |
0.495723 | + | 0.868481i | \(0.334903\pi\) | |||||||
\(104\) | −4.49800 | − | 8.37251i | −0.441065 | − | 0.820993i | ||||
\(105\) | −0.305007 | − | 6.73134i | −0.0297657 | − | 0.656912i | ||||
\(106\) | 0.899714 | − | 0.352873i | 0.0873880 | − | 0.0342741i | ||||
\(107\) | 9.25644 | + | 9.25644i | 0.894854 | + | 0.894854i | 0.994975 | − | 0.100121i | \(-0.0319230\pi\) |
−0.100121 | + | 0.994975i | \(0.531923\pi\) | |||||||
\(108\) | −1.11348 | − | 1.66137i | −0.107145 | − | 0.159865i | ||||
\(109\) | −4.61422 | + | 14.2011i | −0.441962 | + | 1.36022i | 0.443819 | + | 0.896117i | \(0.353623\pi\) |
−0.885781 | + | 0.464103i | \(0.846377\pi\) | |||||||
\(110\) | 0.231525 | + | 0.863471i | 0.0220750 | + | 0.0823288i | ||||
\(111\) | 1.32053 | − | 0.429067i | 0.125339 | − | 0.0407252i | ||||
\(112\) | 11.7286 | + | 2.78082i | 1.10825 | + | 0.262763i | ||||
\(113\) | 6.57508 | + | 12.9043i | 0.618532 | + | 1.21394i | 0.961556 | + | 0.274610i | \(0.0885488\pi\) |
−0.343024 | + | 0.939327i | \(0.611451\pi\) | |||||||
\(114\) | 0.127861 | + | 0.0332685i | 0.0119753 | + | 0.00311588i | ||||
\(115\) | −7.90252 | + | 4.48823i | −0.736913 | + | 0.418530i | ||||
\(116\) | −0.673307 | − | 5.62081i | −0.0625150 | − | 0.521880i | ||||
\(117\) | 3.31889 | − | 0.525661i | 0.306832 | − | 0.0485974i | ||||
\(118\) | 4.20046 | − | 0.924716i | 0.386684 | − | 0.0851270i | ||||
\(119\) | 3.38068 | + | 2.45621i | 0.309906 | + | 0.225160i | ||||
\(120\) | −4.76164 | − | 4.16255i | −0.434676 | − | 0.379987i | ||||
\(121\) | 8.83453 | − | 6.41866i | 0.803139 | − | 0.583515i | ||||
\(122\) | 10.9715 | − | 12.3642i | 0.993316 | − | 1.11940i | ||||
\(123\) | 8.43032 | + | 4.29546i | 0.760137 | + | 0.387309i | ||||
\(124\) | 7.94809 | + | 17.1770i | 0.713759 | + | 1.54254i | ||||
\(125\) | −1.98310 | + | 11.0031i | −0.177374 | + | 0.984143i | ||||
\(126\) | −2.29508 | + | 3.59085i | −0.204462 | + | 0.319898i | ||||
\(127\) | −4.17261 | − | 2.12605i | −0.370259 | − | 0.188656i | 0.258953 | − | 0.965890i | \(-0.416622\pi\) |
−0.629212 | + | 0.777233i | \(0.716622\pi\) | |||||||
\(128\) | 9.49838 | − | 6.14661i | 0.839546 | − | 0.543289i | ||||
\(129\) | −4.56772 | − | 6.28692i | −0.402165 | − | 0.553532i | ||||
\(130\) | 9.70668 | − | 4.32368i | 0.851332 | − | 0.379212i | ||||
\(131\) | 13.9354 | + | 10.1246i | 1.21754 | + | 0.884594i | 0.995893 | − | 0.0905335i | \(-0.0288572\pi\) |
0.221646 | + | 0.975127i | \(0.428857\pi\) | |||||||
\(132\) | 0.194945 | − | 0.530727i | 0.0169678 | − | 0.0461938i | ||||
\(133\) | −0.0440394 | − | 0.278054i | −0.00381870 | − | 0.0241103i | ||||
\(134\) | 13.3051 | + | 16.1890i | 1.14939 | + | 1.39852i | ||||
\(135\) | 1.94436 | − | 1.10430i | 0.167344 | − | 0.0950428i | ||||
\(136\) | 3.85965 | − | 0.697674i | 0.330962 | − | 0.0598250i | ||||
\(137\) | 1.13994 | − | 0.580827i | 0.0973914 | − | 0.0496234i | −0.404616 | − | 0.914487i | \(-0.632595\pi\) |
0.502008 | + | 0.864863i | \(0.332595\pi\) | |||||||
\(138\) | 5.72055 | + | 0.559352i | 0.486966 | + | 0.0476152i | ||||
\(139\) | −6.67343 | + | 2.16833i | −0.566033 | + | 0.183915i | −0.578034 | − | 0.816013i | \(-0.696180\pi\) |
0.0120011 | + | 0.999928i | \(0.496180\pi\) | |||||||
\(140\) | −4.06924 | + | 12.8475i | −0.343914 | + | 1.08581i | ||||
\(141\) | 1.76034 | + | 0.571970i | 0.148247 | + | 0.0481685i | ||||
\(142\) | −12.2757 | − | 5.35919i | −1.03015 | − | 0.449733i | ||||
\(143\) | 0.671711 | + | 0.671711i | 0.0561713 | + | 0.0561713i | ||||
\(144\) | 0.944749 | + | 3.88683i | 0.0787291 | + | 0.323903i | ||||
\(145\) | 6.32270 | − | 0.286491i | 0.525072 | − | 0.0237918i | ||||
\(146\) | −11.9476 | + | 0.713039i | −0.988787 | + | 0.0590115i | ||||
\(147\) | 2.05518 | + | 0.325509i | 0.169509 | + | 0.0268475i | ||||
\(148\) | −2.77499 | − | 0.105110i | −0.228103 | − | 0.00863999i | ||||
\(149\) | 9.66403 | 0.791708 | 0.395854 | − | 0.918313i | \(-0.370449\pi\) | ||||
0.395854 | + | 0.918313i | \(0.370449\pi\) | |||||||
\(150\) | 5.03442 | − | 4.96534i | 0.411059 | − | 0.405418i | ||||
\(151\) | 7.38361i | 0.600869i | 0.953802 | + | 0.300435i | \(0.0971318\pi\) | ||||
−0.953802 | + | 0.300435i | \(0.902868\pi\) | |||||||
\(152\) | −0.217099 | − | 0.150628i | −0.0176090 | − | 0.0122176i | ||||
\(153\) | −0.216929 | + | 1.36963i | −0.0175376 | + | 0.110728i | ||||
\(154\) | −1.20262 | + | 0.0717733i | −0.0969100 | + | 0.00578366i | ||||
\(155\) | −19.8084 | + | 7.44328i | −1.59105 | + | 0.597859i | ||||
\(156\) | −6.59324 | − | 1.30181i | −0.527881 | − | 0.104228i | ||||
\(157\) | 10.7431 | − | 10.7431i | 0.857392 | − | 0.857392i | −0.133638 | − | 0.991030i | \(-0.542666\pi\) |
0.991030 | + | 0.133638i | \(0.0426660\pi\) | |||||||
\(158\) | 1.82790 | − | 4.18698i | 0.145420 | − | 0.333098i | ||||
\(159\) | 0.211175 | − | 0.649929i | 0.0167472 | − | 0.0515427i | ||||
\(160\) | 6.06886 | + | 11.0981i | 0.479786 | + | 0.877386i | ||||
\(161\) | −3.78472 | − | 11.6482i | −0.298278 | − | 0.918004i | ||||
\(162\) | −1.40750 | − | 0.137625i | −0.110584 | − | 0.0108128i | ||||
\(163\) | −2.37169 | − | 4.65471i | −0.185765 | − | 0.364585i | 0.779277 | − | 0.626680i | \(-0.215587\pi\) |
−0.965042 | + | 0.262095i | \(0.915587\pi\) | |||||||
\(164\) | −12.8646 | − | 13.8776i | −1.00456 | − | 1.08366i | ||||
\(165\) | 0.575648 | + | 0.261194i | 0.0448142 | + | 0.0203339i | ||||
\(166\) | 18.0524 | − | 14.8365i | 1.40114 | − | 1.15154i | ||||
\(167\) | 23.4952 | − | 3.72127i | 1.81811 | − | 0.287961i | 0.847889 | − | 0.530174i | \(-0.177873\pi\) |
0.970223 | + | 0.242213i | \(0.0778732\pi\) | |||||||
\(168\) | 6.78489 | − | 5.15865i | 0.523466 | − | 0.397998i | ||||
\(169\) | −1.00431 | + | 1.38231i | −0.0772542 | + | 0.106331i | ||||
\(170\) | 0.459118 | + | 4.36105i | 0.0352127 | + | 0.334477i | ||||
\(171\) | 0.0755796 | − | 0.0549118i | 0.00577972 | − | 0.00419921i | ||||
\(172\) | 4.23985 | + | 14.9526i | 0.323286 | + | 1.14013i | ||||
\(173\) | −7.29157 | + | 14.3105i | −0.554368 | + | 1.08801i | 0.428473 | + | 0.903554i | \(0.359052\pi\) |
−0.982841 | + | 0.184454i | \(0.940948\pi\) | |||||||
\(174\) | −3.37286 | − | 2.15576i | −0.255696 | − | 0.163427i | ||||
\(175\) | −13.9886 | − | 5.59821i | −1.05744 | − | 0.423185i | ||||
\(176\) | −0.731965 | + | 0.861932i | −0.0551739 | + | 0.0649705i | ||||
\(177\) | 1.38072 | − | 2.70982i | 0.103781 | − | 0.203682i | ||||
\(178\) | −5.72651 | + | 6.45342i | −0.429220 | + | 0.483704i | ||||
\(179\) | 2.17494 | + | 2.99355i | 0.162563 | + | 0.223748i | 0.882526 | − | 0.470264i | \(-0.155841\pi\) |
−0.719963 | + | 0.694012i | \(0.755841\pi\) | |||||||
\(180\) | −4.41176 | + | 0.732356i | −0.328833 | + | 0.0545866i | ||||
\(181\) | 14.1867 | − | 19.5263i | 1.05449 | − | 1.45138i | 0.169633 | − | 0.985507i | \(-0.445742\pi\) |
0.884853 | − | 0.465869i | \(-0.154258\pi\) | |||||||
\(182\) | 3.07882 | + | 13.9854i | 0.228218 | + | 1.03666i | ||||
\(183\) | −1.82851 | − | 11.5447i | −0.135167 | − | 0.853411i | ||||
\(184\) | −10.3538 | − | 4.99492i | −0.763292 | − | 0.368231i | ||||
\(185\) | 0.346386 | − | 3.08537i | 0.0254668 | − | 0.226841i | ||||
\(186\) | 12.9520 | + | 3.37002i | 0.949684 | + | 0.247102i | ||||
\(187\) | −0.349292 | + | 0.177973i | −0.0255428 | + | 0.0130147i | ||||
\(188\) | −2.91037 | − | 2.28770i | −0.212260 | − | 0.166848i | ||||
\(189\) | 0.931203 | + | 2.86595i | 0.0677351 | + | 0.208467i | ||||
\(190\) | 0.185878 | − | 0.229620i | 0.0134850 | − | 0.0166584i | ||||
\(191\) | 11.7919 | + | 3.83142i | 0.853232 | + | 0.277232i | 0.702799 | − | 0.711388i | \(-0.251933\pi\) |
0.150433 | + | 0.988620i | \(0.451933\pi\) | |||||||
\(192\) | 0.906678 | − | 7.94845i | 0.0654338 | − | 0.573630i | ||||
\(193\) | −12.4507 | + | 12.4507i | −0.896217 | + | 0.896217i | −0.995099 | − | 0.0988817i | \(-0.968473\pi\) |
0.0988817 | + | 0.995099i | \(0.468473\pi\) | |||||||
\(194\) | −5.64447 | + | 2.21379i | −0.405249 | + | 0.158941i | ||||
\(195\) | 1.99604 | − | 7.24380i | 0.142939 | − | 0.518740i | ||||
\(196\) | −3.63385 | − | 2.02833i | −0.259560 | − | 0.144880i | ||||
\(197\) | 2.04993 | − | 12.9427i | 0.146051 | − | 0.922133i | −0.800442 | − | 0.599410i | \(-0.795402\pi\) |
0.946494 | − | 0.322723i | \(-0.104598\pi\) | |||||||
\(198\) | −0.202403 | − | 0.344776i | −0.0143842 | − | 0.0245021i | ||||
\(199\) | 0.793485 | 0.0562487 | 0.0281243 | − | 0.999604i | \(-0.491047\pi\) | ||||
0.0281243 | + | 0.999604i | \(0.491047\pi\) | |||||||
\(200\) | −12.8754 | + | 5.85004i | −0.910431 | + | 0.413660i | ||||
\(201\) | 14.8174 | 1.04514 | ||||||||
\(202\) | 1.18073 | + | 2.01126i | 0.0830755 | + | 0.141512i | ||||
\(203\) | −1.33431 | + | 8.42452i | −0.0936504 | + | 0.591285i | ||||
\(204\) | 1.35173 | − | 2.42170i | 0.0946403 | − | 0.169553i | ||||
\(205\) | 16.5357 | − | 13.1976i | 1.15490 | − | 0.921762i | ||||
\(206\) | −16.7150 | + | 6.55573i | −1.16459 | + | 0.456759i | ||||
\(207\) | 2.87392 | − | 2.87392i | 0.199751 | − | 0.199751i | ||||
\(208\) | 11.4801 | + | 6.99058i | 0.796005 | + | 0.484709i | ||||
\(209\) | 0.0251176 | + | 0.00816119i | 0.00173742 | + | 0.000564521i | ||||
\(210\) | 5.19141 | + | 7.99108i | 0.358241 | + | 0.551437i | ||||
\(211\) | 0.737794 | + | 2.27070i | 0.0507919 | + | 0.156321i | 0.973235 | − | 0.229811i | \(-0.0738108\pi\) |
−0.922443 | + | 0.386132i | \(0.873811\pi\) | |||||||
\(212\) | −0.844633 | + | 1.07453i | −0.0580096 | + | 0.0737987i | ||||
\(213\) | −8.43905 | + | 4.29991i | −0.578234 | + | 0.294625i | ||||
\(214\) | −17.9163 | − | 4.66172i | −1.22474 | − | 0.318668i | ||||
\(215\) | −17.0220 | + | 3.49239i | −1.16089 | + | 0.238179i | ||||
\(216\) | 2.54748 | + | 1.22897i | 0.173334 | + | 0.0836205i | ||||
\(217\) | −4.46108 | − | 28.1661i | −0.302838 | − | 1.91204i | ||||
\(218\) | −4.54010 | − | 20.6231i | −0.307494 | − | 1.39677i | ||||
\(219\) | −4.97456 | + | 6.84690i | −0.336150 | + | 0.462671i | ||||
\(220\) | −0.900582 | − | 0.887314i | −0.0607172 | − | 0.0598227i | ||||
\(221\) | 2.73890 | + | 3.76977i | 0.184238 | + | 0.253582i | ||||
\(222\) | −1.30330 | + | 1.46874i | −0.0874720 | + | 0.0985755i | ||||
\(223\) | −3.18349 | + | 6.24794i | −0.213182 | + | 0.418393i | −0.972691 | − | 0.232103i | \(-0.925439\pi\) |
0.759509 | + | 0.650497i | \(0.225439\pi\) | |||||||
\(224\) | −16.2950 | + | 5.00584i | −1.08876 | + | 0.334467i | ||||
\(225\) | −0.452187 | − | 4.97951i | −0.0301458 | − | 0.331967i | ||||
\(226\) | −17.2580 | − | 11.0304i | −1.14798 | − | 0.733731i | ||||
\(227\) | −1.04374 | + | 2.04845i | −0.0692754 | + | 0.135961i | −0.923047 | − | 0.384687i | \(-0.874309\pi\) |
0.853772 | + | 0.520648i | \(0.174309\pi\) | |||||||
\(228\) | −0.179756 | + | 0.0509704i | −0.0119047 | + | 0.00337559i | ||||
\(229\) | 6.71009 | − | 4.87517i | 0.443415 | − | 0.322160i | −0.343575 | − | 0.939125i | \(-0.611638\pi\) |
0.786991 | + | 0.616965i | \(0.211638\pi\) | |||||||
\(230\) | 6.42437 | − | 11.1317i | 0.423611 | − | 0.734004i | ||||
\(231\) | −0.500731 | + | 0.689198i | −0.0329457 | + | 0.0453459i | ||||
\(232\) | 4.84548 | + | 6.37300i | 0.318121 | + | 0.418408i | ||||
\(233\) | −2.30467 | + | 0.365023i | −0.150984 | + | 0.0239135i | −0.231469 | − | 0.972842i | \(-0.574353\pi\) |
0.0804850 | + | 0.996756i | \(0.474353\pi\) | |||||||
\(234\) | −3.67132 | + | 3.01731i | −0.240002 | + | 0.197248i | ||||
\(235\) | 2.79111 | − | 3.05605i | 0.182072 | − | 0.199355i | ||||
\(236\) | −4.46076 | + | 4.13517i | −0.290371 | + | 0.269177i | ||||
\(237\) | −1.46661 | − | 2.87838i | −0.0952664 | − | 0.186971i | ||||
\(238\) | −5.88159 | − | 0.575099i | −0.381247 | − | 0.0372781i | ||||
\(239\) | −0.820128 | − | 2.52409i | −0.0530497 | − | 0.163270i | 0.921022 | − | 0.389512i | \(-0.127356\pi\) |
−0.974071 | + | 0.226241i | \(0.927356\pi\) | |||||||
\(240\) | 8.78748 | + | 1.66740i | 0.567229 | + | 0.107630i | ||||
\(241\) | −7.98863 | + | 24.5865i | −0.514593 | + | 1.58375i | 0.269428 | + | 0.963021i | \(0.413165\pi\) |
−0.784021 | + | 0.620734i | \(0.786835\pi\) | |||||||
\(242\) | −6.17892 | + | 14.1534i | −0.397196 | + | 0.909812i | ||||
\(243\) | −0.707107 | + | 0.707107i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | −4.52834 | + | 22.9345i | −0.289897 | + | 1.46823i | ||||
\(245\) | 2.56167 | − | 3.88414i | 0.163659 | − | 0.248149i | ||||
\(246\) | −13.3569 | + | 0.797151i | −0.851606 | + | 0.0508245i | ||||
\(247\) | 0.0491081 | − | 0.310056i | 0.00312467 | − | 0.0197284i | ||||
\(248\) | −21.9915 | − | 15.2582i | −1.39646 | − | 0.968898i | ||||
\(249\) | − | 16.5229i | − | 1.04709i | ||||||
\(250\) | −5.45927 | − | 14.8390i | −0.345274 | − | 0.938502i | ||||
\(251\) | 28.6590 | 1.80894 | 0.904471 | − | 0.426535i | \(-0.140266\pi\) | ||||
0.904471 | + | 0.426535i | \(0.140266\pi\) | |||||||
\(252\) | 0.228120 | − | 6.02255i | 0.0143702 | − | 0.379385i | ||||
\(253\) | 1.13484 | + | 0.179740i | 0.0713465 | + | 0.0113002i | ||||
\(254\) | 6.61104 | − | 0.394551i | 0.414813 | − | 0.0247564i | ||||
\(255\) | 2.58850 | + | 1.70717i | 0.162098 | + | 0.106907i | ||||
\(256\) | −7.18331 | + | 14.2969i | −0.448957 | + | 0.893553i | ||||
\(257\) | 12.1532 | + | 12.1532i | 0.758095 | + | 0.758095i | 0.975975 | − | 0.217881i | \(-0.0699144\pi\) |
−0.217881 | + | 0.975975i | \(0.569914\pi\) | |||||||
\(258\) | 10.0720 | + | 4.39710i | 0.627052 | + | 0.273752i | ||||
\(259\) | 3.97934 | + | 1.29297i | 0.247264 | + | 0.0803409i | ||||
\(260\) | −8.74251 | + | 12.2228i | −0.542188 | + | 0.758024i | ||||
\(261\) | −2.69196 | + | 0.874672i | −0.166628 | + | 0.0541409i | ||||
\(262\) | −24.2443 | − | 2.37059i | −1.49782 | − | 0.146456i | ||||
\(263\) | 16.9128 | − | 8.61750i | 1.04289 | − | 0.531378i | 0.153318 | − | 0.988177i | \(-0.451004\pi\) |
0.889570 | + | 0.456799i | \(0.151004\pi\) | |||||||
\(264\) | 0.142230 | + | 0.786841i | 0.00875367 | + | 0.0484267i | ||||
\(265\) | −1.12831 | − | 1.03050i | −0.0693118 | − | 0.0633028i | ||||
\(266\) | 0.252788 | + | 0.307580i | 0.0154994 | + | 0.0188589i | ||||
\(267\) | 0.954376 | + | 6.02569i | 0.0584069 | + | 0.368766i | ||||
\(268\) | −27.8176 | − | 10.2179i | −1.69923 | − | 0.624157i | ||||
\(269\) | 2.54733 | + | 1.85075i | 0.155314 | + | 0.112842i | 0.662728 | − | 0.748860i | \(-0.269399\pi\) |
−0.507414 | + | 0.861702i | \(0.669399\pi\) | |||||||
\(270\) | −1.58067 | + | 2.73888i | −0.0961966 | + | 0.166683i | ||||
\(271\) | −9.04482 | − | 12.4491i | −0.549434 | − | 0.756231i | 0.440502 | − | 0.897752i | \(-0.354801\pi\) |
−0.989935 | + | 0.141521i | \(0.954801\pi\) | |||||||
\(272\) | −4.20766 | + | 3.61426i | −0.255127 | + | 0.219146i | ||||
\(273\) | 9.02228 | + | 4.59708i | 0.546053 | + | 0.278228i | ||||
\(274\) | −0.974398 | + | 1.52453i | −0.0588655 | + | 0.0921000i | ||||
\(275\) | 1.06372 | − | 0.930845i | 0.0641445 | − | 0.0561321i | ||||
\(276\) | −7.37718 | + | 3.41355i | −0.444054 | + | 0.205472i | ||||
\(277\) | −9.22022 | − | 4.69794i | −0.553989 | − | 0.282272i | 0.154500 | − | 0.987993i | \(-0.450623\pi\) |
−0.708490 | + | 0.705721i | \(0.750623\pi\) | |||||||
\(278\) | 6.58637 | − | 7.42242i | 0.395024 | − | 0.445167i | ||||
\(279\) | 7.65602 | − | 5.56242i | 0.458354 | − | 0.333014i | ||||
\(280\) | −4.23558 | − | 18.5820i | −0.253124 | − | 1.11049i | ||||
\(281\) | −2.89362 | − | 2.10234i | −0.172619 | − | 0.125415i | 0.498121 | − | 0.867107i | \(-0.334023\pi\) |
−0.670740 | + | 0.741692i | \(0.734023\pi\) | |||||||
\(282\) | −2.55640 | + | 0.562781i | −0.152231 | + | 0.0335131i | ||||
\(283\) | 20.7906 | − | 3.29291i | 1.23588 | − | 0.195743i | 0.495901 | − | 0.868379i | \(-0.334838\pi\) |
0.739974 | + | 0.672636i | \(0.234838\pi\) | |||||||
\(284\) | 18.8083 | − | 2.25301i | 1.11607 | − | 0.133691i | ||||
\(285\) | −0.0419845 | − | 0.204634i | −0.00248695 | − | 0.0121215i | ||||
\(286\) | −1.30013 | − | 0.338286i | −0.0768785 | − | 0.0200033i | ||||
\(287\) | 12.9441 | + | 25.4042i | 0.764067 | + | 1.49957i | ||||
\(288\) | −3.93505 | − | 4.06391i | −0.231875 | − | 0.239468i | ||||
\(289\) | 14.3391 | − | 4.65906i | 0.843478 | − | 0.274063i | ||||
\(290\) | −7.50596 | + | 4.87625i | −0.440765 | + | 0.286343i | ||||
\(291\) | −1.32483 | + | 4.07741i | −0.0776629 | + | 0.239022i | ||||
\(292\) | 14.0606 | − | 9.42368i | 0.822832 | − | 0.551479i | ||||
\(293\) | −16.4570 | − | 16.4570i | −0.961431 | − | 0.961431i | 0.0378525 | − | 0.999283i | \(-0.487948\pi\) |
−0.999283 | + | 0.0378525i | \(0.987948\pi\) | |||||||
\(294\) | −2.73953 | + | 1.07446i | −0.159772 | + | 0.0626637i | ||||
\(295\) | −4.24220 | − | 5.31519i | −0.246991 | − | 0.309462i | ||||
\(296\) | 3.45959 | − | 1.85861i | 0.201085 | − | 0.108030i | ||||
\(297\) | −0.279218 | − | 0.0442238i | −0.0162019 | − | 0.00256613i | ||||
\(298\) | −11.7861 | + | 6.91913i | −0.682752 | + | 0.400815i | ||||
\(299\) | − | 13.6572i | − | 0.789818i | ||||||
\(300\) | −2.58489 | + | 9.66014i | −0.149239 | + | 0.557729i | ||||
\(301\) | − | 23.4176i | − | 1.34977i | ||||||
\(302\) | −5.28642 | − | 9.00494i | −0.304200 | − | 0.518176i | ||||
\(303\) | 1.62883 | + | 0.257981i | 0.0935738 | + | 0.0148206i | ||||
\(304\) | 0.372616 | + | 0.0282682i | 0.0213710 | + | 0.00162129i | ||||
\(305\) | −25.1975 | − | 6.94320i | −1.44280 | − | 0.397567i | ||||
\(306\) | −0.716050 | − | 1.82570i | −0.0409338 | − | 0.104368i | ||||
\(307\) | −20.6531 | − | 20.6531i | −1.17873 | − | 1.17873i | −0.980068 | − | 0.198664i | \(-0.936340\pi\) |
−0.198664 | − | 0.980068i | \(-0.563660\pi\) | |||||||
\(308\) | 1.41531 | − | 0.948572i | 0.0806450 | − | 0.0540499i | ||||
\(309\) | −3.92324 | + | 12.0745i | −0.223185 | + | 0.686893i | ||||
\(310\) | 18.8289 | − | 23.2599i | 1.06941 | − | 1.32107i | ||||
\(311\) | −18.3590 | + | 5.96519i | −1.04104 | + | 0.338255i | −0.779147 | − | 0.626841i | \(-0.784347\pi\) |
−0.261895 | + | 0.965096i | \(0.584347\pi\) | |||||||
\(312\) | 8.97308 | − | 3.13287i | 0.508000 | − | 0.177364i | ||||
\(313\) | 13.9124 | + | 27.3046i | 0.786375 | + | 1.54335i | 0.838622 | + | 0.544714i | \(0.183362\pi\) |
−0.0522469 | + | 0.998634i | \(0.516638\pi\) | |||||||
\(314\) | −5.41042 | + | 20.7938i | −0.305328 | + | 1.17346i | ||||
\(315\) | 6.69618 | + | 0.751762i | 0.377287 | + | 0.0423570i | ||||
\(316\) | 0.768453 | + | 6.41510i | 0.0432288 | + | 0.360877i | ||||
\(317\) | −24.5629 | + | 3.89038i | −1.37959 | + | 0.218506i | −0.801758 | − | 0.597649i | \(-0.796102\pi\) |
−0.577833 | + | 0.816155i | \(0.696102\pi\) | |||||||
\(318\) | 0.207782 | + | 0.943839i | 0.0116519 | + | 0.0529278i | ||||
\(319\) | −0.647358 | − | 0.470333i | −0.0362451 | − | 0.0263336i | ||||
\(320\) | −15.3474 | − | 9.19004i | −0.857947 | − | 0.513739i | ||||
\(321\) | −10.5905 | + | 7.69446i | −0.591105 | + | 0.429463i | ||||
\(322\) | 12.9555 | + | 11.4962i | 0.721982 | + | 0.640659i | ||||
\(323\) | 0.115428 | + | 0.0588137i | 0.00642260 | + | 0.00327248i | ||||
\(324\) | 1.81510 | − | 0.839880i | 0.100839 | − | 0.0466600i | ||||
\(325\) | −12.9061 | − | 10.7572i | −0.715900 | − | 0.596703i | ||||
\(326\) | 6.22511 | + | 3.97877i | 0.344777 | + | 0.220363i | ||||
\(327\) | −13.3045 | − | 6.77896i | −0.735738 | − | 0.374877i | ||||
\(328\) | 25.6254 | + | 7.71422i | 1.41493 | + | 0.425947i | ||||
\(329\) | 3.27847 | + | 4.51243i | 0.180748 | + | 0.248778i | ||||
\(330\) | −0.889059 | + | 0.0935974i | −0.0489411 | + | 0.00515237i | ||||
\(331\) | 5.36622 | + | 3.89879i | 0.294954 | + | 0.214297i | 0.725414 | − | 0.688313i | \(-0.241648\pi\) |
−0.430459 | + | 0.902610i | \(0.641648\pi\) | |||||||
\(332\) | −11.3940 | + | 31.0193i | −0.625325 | + | 1.70241i | ||||
\(333\) | 0.217207 | + | 1.37139i | 0.0119029 | + | 0.0751519i | ||||
\(334\) | −25.9901 | + | 21.3602i | −1.42211 | + | 1.16878i | ||||
\(335\) | 13.6902 | − | 30.1721i | 0.747978 | − | 1.64848i | ||||
\(336\) | −4.58134 | + | 11.1492i | −0.249933 | + | 0.608237i | ||||
\(337\) | −27.0765 | + | 13.7961i | −1.47495 | + | 0.751524i | −0.992249 | − | 0.124262i | \(-0.960344\pi\) |
−0.482699 | + | 0.875786i | \(0.660344\pi\) | |||||||
\(338\) | 0.235149 | − | 2.40489i | 0.0127904 | − | 0.130809i | ||||
\(339\) | −13.7740 | + | 4.47545i | −0.748102 | + | 0.243073i | ||||
\(340\) | −3.68230 | − | 4.98996i | −0.199701 | − | 0.270619i | ||||
\(341\) | 2.54434 | + | 0.826707i | 0.137784 | + | 0.0447687i | ||||
\(342\) | −0.0528608 | + | 0.121082i | −0.00285838 | + | 0.00654738i | ||||
\(343\) | −10.4819 | − | 10.4819i | −0.565971 | − | 0.565971i | ||||
\(344\) | −15.8765 | − | 15.2004i | −0.856002 | − | 0.819552i | ||||
\(345\) | −3.19675 | − | 8.50734i | −0.172107 | − | 0.458020i | ||||
\(346\) | −1.35317 | − | 22.6734i | −0.0727467 | − | 1.21893i | ||||
\(347\) | −12.3965 | − | 1.96342i | −0.665480 | − | 0.105402i | −0.185450 | − | 0.982654i | \(-0.559374\pi\) |
−0.480030 | + | 0.877252i | \(0.659374\pi\) | |||||||
\(348\) | 5.65694 | + | 0.214272i | 0.303244 | + | 0.0114862i | ||||
\(349\) | 16.1106 | 0.862380 | 0.431190 | − | 0.902261i | \(-0.358094\pi\) | ||||
0.431190 | + | 0.902261i | \(0.358094\pi\) | |||||||
\(350\) | 21.0684 | − | 3.18786i | 1.12615 | − | 0.170399i | ||||
\(351\) | 3.36026i | 0.179358i | ||||||||
\(352\) | 0.275579 | − | 1.57526i | 0.0146884 | − | 0.0839618i | ||||
\(353\) | 0.0487602 | − | 0.307859i | 0.00259524 | − | 0.0163857i | −0.986357 | − | 0.164622i | \(-0.947360\pi\) |
0.988952 | + | 0.148236i | \(0.0473596\pi\) | |||||||
\(354\) | 0.256234 | + | 4.29341i | 0.0136187 | + | 0.228192i | ||||
\(355\) | 0.958651 | + | 21.1569i | 0.0508799 | + | 1.12289i | ||||
\(356\) | 2.36354 | − | 11.9705i | 0.125267 | − | 0.634435i | ||||
\(357\) | −2.95482 | + | 2.95482i | −0.156386 | + | 0.156386i | ||||
\(358\) | −4.79581 | − | 2.09370i | −0.253467 | − | 0.110656i | ||||
\(359\) | −3.85088 | + | 11.8518i | −0.203242 | + | 0.625514i | 0.796539 | + | 0.604587i | \(0.206662\pi\) |
−0.999781 | + | 0.0209270i | \(0.993338\pi\) | |||||||
\(360\) | 4.85618 | − | 4.05185i | 0.255943 | − | 0.213551i | ||||
\(361\) | 5.86863 | + | 18.0618i | 0.308875 | + | 0.950620i | ||||
\(362\) | −3.32168 | + | 33.9712i | −0.174584 | + | 1.78549i | ||||
\(363\) | 4.95761 | + | 9.72986i | 0.260207 | + | 0.510685i | ||||
\(364\) | −13.7680 | − | 14.8520i | −0.721637 | − | 0.778457i | ||||
\(365\) | 9.34592 | + | 16.4556i | 0.489188 | + | 0.861323i | ||||
\(366\) | 10.4957 | + | 12.7706i | 0.548618 | + | 0.667532i | ||||
\(367\) | −0.0371810 | + | 0.00588889i | −0.00194083 | + | 0.000307397i | −0.157405 | − | 0.987534i | \(-0.550313\pi\) |
0.155464 | + | 0.987842i | \(0.450313\pi\) | |||||||
\(368\) | 16.2035 | − | 1.32125i | 0.844668 | − | 0.0688747i | ||||
\(369\) | −5.56137 | + | 7.65457i | −0.289513 | + | 0.398481i | ||||
\(370\) | 1.78658 | + | 4.01088i | 0.0928798 | + | 0.208516i | ||||
\(371\) | 1.66602 | − | 1.21043i | 0.0864953 | − | 0.0628425i | ||||
\(372\) | −18.2089 | + | 5.16316i | −0.944085 | + | 0.267698i | ||||
\(373\) | −10.7737 | + | 21.1446i | −0.557843 | + | 1.09483i | 0.424094 | + | 0.905618i | \(0.360593\pi\) |
−0.981937 | + | 0.189210i | \(0.939407\pi\) | |||||||
\(374\) | 0.298569 | − | 0.467136i | 0.0154386 | − | 0.0241550i | ||||
\(375\) | −10.5574 | − | 3.67995i | −0.545180 | − | 0.190032i | ||||
\(376\) | 5.18736 | + | 0.706319i | 0.267518 | + | 0.0364256i | ||||
\(377\) | −4.31801 | + | 8.47456i | −0.222389 | + | 0.436462i | ||||
\(378\) | −3.18761 | − | 2.82856i | −0.163953 | − | 0.145485i | ||||
\(379\) | 3.25104 | + | 4.47467i | 0.166995 | + | 0.229848i | 0.884310 | − | 0.466900i | \(-0.154629\pi\) |
−0.717315 | + | 0.696749i | \(0.754629\pi\) | |||||||
\(380\) | −0.0622933 | + | 0.413124i | −0.00319558 | + | 0.0211928i | ||||
\(381\) | 2.75261 | − | 3.78865i | 0.141021 | − | 0.194098i | ||||
\(382\) | −17.1244 | + | 3.76987i | −0.876161 | + | 0.192884i | ||||
\(383\) | −3.34339 | − | 21.1093i | −0.170839 | − | 1.07864i | −0.912864 | − | 0.408263i | \(-0.866135\pi\) |
0.742025 | − | 0.670372i | \(-0.233865\pi\) | |||||||
\(384\) | 4.58507 | + | 10.3430i | 0.233981 | + | 0.527813i | ||||
\(385\) | 0.940745 | + | 1.65639i | 0.0479448 | + | 0.0844174i | ||||
\(386\) | 6.27038 | − | 24.0989i | 0.319154 | − | 1.22660i | ||||
\(387\) | 6.92407 | − | 3.52799i | 0.351970 | − | 0.179338i | ||||
\(388\) | 5.29891 | − | 6.74117i | 0.269011 | − | 0.342231i | ||||
\(389\) | −4.14873 | − | 12.7685i | −0.210349 | − | 0.647387i | −0.999451 | − | 0.0331256i | \(-0.989454\pi\) |
0.789102 | − | 0.614262i | \(-0.210546\pi\) | |||||||
\(390\) | 2.75199 | + | 10.2635i | 0.139352 | + | 0.519715i | ||||
\(391\) | 5.36018 | + | 1.74163i | 0.271076 | + | 0.0880780i | ||||
\(392\) | 5.88400 | − | 0.128000i | 0.297187 | − | 0.00646497i | ||||
\(393\) | −12.1800 | + | 12.1800i | −0.614398 | + | 0.614398i | ||||
\(394\) | 6.76652 | + | 17.2525i | 0.340893 | + | 0.869167i | ||||
\(395\) | −7.21617 | + | 0.326975i | −0.363085 | + | 0.0164519i | ||||
\(396\) | 0.493696 | + | 0.275569i | 0.0248092 | + | 0.0138479i | ||||
\(397\) | 0.543516 | − | 3.43163i | 0.0272783 | − | 0.172228i | −0.970288 | − | 0.241953i | \(-0.922212\pi\) |
0.997566 | + | 0.0697245i | \(0.0222120\pi\) | |||||||
\(398\) | −0.967724 | + | 0.568110i | −0.0485076 | + | 0.0284768i | ||||
\(399\) | 0.281520 | 0.0140936 | ||||||||
\(400\) | 11.5143 | − | 16.3530i | 0.575714 | − | 0.817651i | ||||
\(401\) | −15.6586 | −0.781955 | −0.390978 | − | 0.920400i | \(-0.627863\pi\) | ||||
−0.390978 | + | 0.920400i | \(0.627863\pi\) | |||||||
\(402\) | −18.0711 | + | 10.6088i | −0.901305 | + | 0.529118i | ||||
\(403\) | 4.97452 | − | 31.4079i | 0.247798 | − | 1.56454i | ||||
\(404\) | −2.87999 | − | 1.60754i | −0.143285 | − | 0.0799782i | ||||
\(405\) | 0.786537 | + | 2.09317i | 0.0390833 | + | 0.104010i | ||||
\(406\) | −4.40437 | − | 11.2297i | −0.218585 | − | 0.557323i | ||||
\(407\) | −0.277556 | + | 0.277556i | −0.0137580 | + | 0.0137580i | ||||
\(408\) | 0.0853028 | + | 3.92127i | 0.00422312 | + | 0.194132i | ||||
\(409\) | 34.6398 | + | 11.2552i | 1.71283 | + | 0.556532i | 0.990800 | − | 0.135333i | \(-0.0432103\pi\) |
0.722028 | + | 0.691864i | \(0.243210\pi\) | |||||||
\(410\) | −10.7176 | + | 27.9347i | −0.529307 | + | 1.37959i | ||||
\(411\) | 0.395351 | + | 1.21676i | 0.0195012 | + | 0.0600185i | ||||
\(412\) | 15.6917 | − | 19.9627i | 0.773076 | − | 0.983491i | ||||
\(413\) | 8.16586 | − | 4.16072i | 0.401816 | − | 0.204735i | ||||
\(414\) | −1.44736 | + | 5.56262i | −0.0711337 | + | 0.273388i | ||||
\(415\) | −33.6449 | − | 15.2660i | −1.65156 | − | 0.749377i | ||||
\(416\) | −19.0061 | − | 0.306197i | −0.931849 | − | 0.0150126i | ||||
\(417\) | −1.09768 | − | 6.93047i | −0.0537535 | − | 0.339386i | ||||
\(418\) | −0.0364762 | + | 0.00803009i | −0.00178411 | + | 0.000392764i | ||||
\(419\) | 15.5333 | − | 21.3797i | 0.758850 | − | 1.04447i | −0.238459 | − | 0.971153i | \(-0.576642\pi\) |
0.997309 | − | 0.0733144i | \(-0.0233577\pi\) | |||||||
\(420\) | −12.0527 | − | 6.02893i | −0.588113 | − | 0.294182i | ||||
\(421\) | 10.6122 | + | 14.6064i | 0.517207 | + | 0.711874i | 0.985114 | − | 0.171903i | \(-0.0549917\pi\) |
−0.467907 | + | 0.883778i | \(0.654992\pi\) | |||||||
\(422\) | −2.52555 | − | 2.24107i | −0.122942 | − | 0.109094i | ||||
\(423\) | −0.840306 | + | 1.64919i | −0.0408571 | + | 0.0801865i | ||||
\(424\) | 0.260777 | − | 1.91521i | 0.0126645 | − | 0.0930106i | ||||
\(425\) | 5.86783 | − | 3.69356i | 0.284631 | − | 0.179164i | ||||
\(426\) | 7.21355 | − | 11.2862i | 0.349498 | − | 0.546818i | ||||
\(427\) | 15.9909 | − | 31.3839i | 0.773854 | − | 1.51877i | ||||
\(428\) | 25.1882 | − | 7.14216i | 1.21752 | − | 0.345229i | ||||
\(429\) | −0.768520 | + | 0.558362i | −0.0371045 | + | 0.0269580i | ||||
\(430\) | 18.2594 | − | 16.4465i | 0.880547 | − | 0.793121i | ||||
\(431\) | −23.2147 | + | 31.9523i | −1.11821 | + | 1.53909i | −0.309485 | + | 0.950904i | \(0.600157\pi\) |
−0.808727 | + | 0.588184i | \(0.799843\pi\) | |||||||
\(432\) | −3.98677 | + | 0.325083i | −0.191813 | + | 0.0156406i | ||||
\(433\) | 14.4130 | − | 2.28280i | 0.692646 | − | 0.109704i | 0.199820 | − | 0.979833i | \(-0.435964\pi\) |
0.492825 | + | 0.870128i | \(0.335964\pi\) | |||||||
\(434\) | 25.6067 | + | 31.1570i | 1.22916 | + | 1.49559i | ||||
\(435\) | −0.706124 | + | 6.28968i | −0.0338561 | + | 0.301567i | ||||
\(436\) | 20.3025 | + | 21.9011i | 0.972315 | + | 1.04887i | ||||
\(437\) | −0.172378 | − | 0.338312i | −0.00824598 | − | 0.0161837i | ||||
\(438\) | 1.16475 | − | 11.9120i | 0.0556539 | − | 0.569178i | ||||
\(439\) | −3.39101 | − | 10.4365i | −0.161844 | − | 0.498105i | 0.836946 | − | 0.547286i | \(-0.184339\pi\) |
−0.998790 | + | 0.0491807i | \(0.984339\pi\) | |||||||
\(440\) | 1.73362 | + | 0.437368i | 0.0826473 | + | 0.0208507i | ||||
\(441\) | −0.643003 | + | 1.97896i | −0.0306192 | + | 0.0942362i | ||||
\(442\) | −6.03936 | − | 2.63660i | −0.287263 | − | 0.125410i | ||||
\(443\) | −4.16873 | + | 4.16873i | −0.198063 | + | 0.198063i | −0.799169 | − | 0.601106i | \(-0.794727\pi\) |
0.601106 | + | 0.799169i | \(0.294727\pi\) | |||||||
\(444\) | 0.537920 | − | 2.72438i | 0.0255285 | − | 0.129293i | ||||
\(445\) | 13.1517 | + | 3.62396i | 0.623448 | + | 0.171792i | ||||
\(446\) | −0.590790 | − | 9.89918i | −0.0279747 | − | 0.468740i | ||||
\(447\) | −1.51179 | + | 9.54505i | −0.0715051 | + | 0.451465i | ||||
\(448\) | 16.2891 | − | 17.7718i | 0.769590 | − | 0.839636i | ||||
\(449\) | − | 4.78534i | − | 0.225834i | −0.993604 | − | 0.112917i | \(-0.963981\pi\) | ||
0.993604 | − | 0.112917i | \(-0.0360195\pi\) | |||||||
\(450\) | 4.11665 | + | 5.74919i | 0.194061 | + | 0.271019i | ||||
\(451\) | −2.67478 | −0.125950 | ||||||||
\(452\) | 28.9450 | + | 1.09637i | 1.36146 | + | 0.0515688i | ||||
\(453\) | −7.29270 | − | 1.15505i | −0.342641 | − | 0.0542690i | ||||
\(454\) | −0.193697 | − | 3.24555i | −0.00909064 | − | 0.152321i | ||||
\(455\) | 17.6968 | − | 14.1243i | 0.829639 | − | 0.662159i | ||||
\(456\) | 0.182735 | − | 0.190863i | 0.00855737 | − | 0.00893796i | ||||
\(457\) | −16.6177 | − | 16.6177i | −0.777342 | − | 0.777342i | 0.202036 | − | 0.979378i | \(-0.435244\pi\) |
−0.979378 | + | 0.202036i | \(0.935244\pi\) | |||||||
\(458\) | −4.69307 | + | 10.7499i | −0.219293 | + | 0.502310i | ||||
\(459\) | −1.31884 | − | 0.428516i | −0.0615580 | − | 0.0200014i | ||||
\(460\) | 0.134884 | + | 18.1757i | 0.00628899 | + | 0.847448i | ||||
\(461\) | −2.70116 | + | 0.877660i | −0.125806 | + | 0.0408767i | −0.371243 | − | 0.928536i | \(-0.621068\pi\) |
0.245438 | + | 0.969412i | \(0.421068\pi\) | |||||||
\(462\) | 0.117242 | − | 1.19904i | 0.00545458 | − | 0.0557845i | ||||
\(463\) | 31.8297 | − | 16.2180i | 1.47925 | − | 0.753716i | 0.486475 | − | 0.873694i | \(-0.338282\pi\) |
0.992777 | + | 0.119978i | \(0.0382824\pi\) | |||||||
\(464\) | −10.4723 | − | 4.30322i | −0.486166 | − | 0.199772i | ||||
\(465\) | −4.25292 | − | 20.7289i | −0.197224 | − | 0.961281i | ||||
\(466\) | 2.54939 | − | 2.09524i | 0.118098 | − | 0.0970602i | ||||
\(467\) | 2.26802 | + | 14.3197i | 0.104951 | + | 0.662636i | 0.982936 | + | 0.183948i | \(0.0588877\pi\) |
−0.877985 | + | 0.478689i | \(0.841112\pi\) | |||||||
\(468\) | 2.31719 | − | 6.30842i | 0.107112 | − | 0.291607i | ||||
\(469\) | 36.1237 | + | 26.2454i | 1.66804 | + | 1.21190i | ||||
\(470\) | −1.21596 | + | 5.72546i | −0.0560882 | + | 0.264096i | ||||
\(471\) | 8.93024 | + | 12.2914i | 0.411484 | + | 0.566359i | ||||
\(472\) | 2.47964 | − | 8.23695i | 0.114135 | − | 0.379137i | ||||
\(473\) | 1.95743 | + | 0.997358i | 0.0900025 | + | 0.0458586i | ||||
\(474\) | 3.84948 | + | 2.46039i | 0.176812 | + | 0.113009i | ||||
\(475\) | −0.455480 | − | 0.103576i | −0.0208988 | − | 0.00475241i | ||||
\(476\) | 7.58486 | − | 3.50965i | 0.347652 | − | 0.160864i | ||||
\(477\) | 0.608892 | + | 0.310246i | 0.0278793 | + | 0.0142052i | ||||
\(478\) | 2.80739 | + | 2.49117i | 0.128407 | + | 0.113943i | ||||
\(479\) | 22.7636 | − | 16.5387i | 1.04009 | − | 0.755673i | 0.0697901 | − | 0.997562i | \(-0.477767\pi\) |
0.970304 | + | 0.241889i | \(0.0777670\pi\) | |||||||
\(480\) | −11.9109 | + | 4.25801i | −0.543655 | + | 0.194351i | ||||
\(481\) | 3.77462 | + | 2.74242i | 0.172108 | + | 0.125044i | ||||
\(482\) | −7.86030 | − | 35.7049i | −0.358027 | − | 1.62632i | ||||
\(483\) | 12.0968 | − | 1.91595i | 0.550424 | − | 0.0871786i | ||||
\(484\) | −2.59762 | − | 21.6851i | −0.118074 | − | 0.985688i | ||||
\(485\) | 7.07862 | + | 6.46494i | 0.321423 | + | 0.293558i | ||||
\(486\) | 0.356112 | − | 1.36864i | 0.0161536 | − | 0.0620829i | ||||
\(487\) | 1.64612 | + | 3.23070i | 0.0745930 | + | 0.146397i | 0.925291 | − | 0.379257i | \(-0.123821\pi\) |
−0.850698 | + | 0.525654i | \(0.823821\pi\) | |||||||
\(488\) | −10.8977 | − | 31.2128i | −0.493314 | − | 1.41293i | ||||
\(489\) | 4.96842 | − | 1.61434i | 0.224680 | − | 0.0730029i | ||||
\(490\) | −0.343252 | + | 6.57111i | −0.0155065 | + | 0.296853i | ||||
\(491\) | 6.24832 | − | 19.2304i | 0.281983 | − | 0.867854i | −0.705304 | − | 0.708905i | \(-0.749189\pi\) |
0.987287 | − | 0.158949i | \(-0.0508105\pi\) | |||||||
\(492\) | 15.7192 | − | 10.5353i | 0.708675 | − | 0.474969i | ||||
\(493\) | −2.77544 | − | 2.77544i | −0.125000 | − | 0.125000i | ||||
\(494\) | 0.162099 | + | 0.413300i | 0.00729317 | + | 0.0185953i | ||||
\(495\) | −0.348029 | + | 0.527701i | −0.0156427 | + | 0.0237184i | ||||
\(496\) | 37.7450 | + | 2.86349i | 1.69480 | + | 0.128575i | ||||
\(497\) | −28.1900 | − | 4.46485i | −1.26449 | − | 0.200276i | ||||
\(498\) | 11.8298 | + | 20.1511i | 0.530108 | + | 0.902991i | ||||
\(499\) | − | 38.3720i | − | 1.71777i | −0.512171 | − | 0.858883i | \(-0.671159\pi\) | ||
0.512171 | − | 0.858883i | \(-0.328841\pi\) | |||||||
\(500\) | 17.2823 | + | 14.1888i | 0.772888 | + | 0.634542i | ||||
\(501\) | 23.7881i | 1.06277i | ||||||||
\(502\) | −34.9522 | + | 20.5189i | −1.55999 | + | 0.915805i | ||||
\(503\) | −19.0365 | − | 3.01509i | −0.848797 | − | 0.134436i | −0.283142 | − | 0.959078i | \(-0.591377\pi\) |
−0.565655 | + | 0.824642i | \(0.691377\pi\) | |||||||
\(504\) | 4.03374 | + | 7.50835i | 0.179677 | + | 0.334449i | ||||
\(505\) | 2.03024 | − | 3.07836i | 0.0903444 | − | 0.136985i | ||||
\(506\) | −1.51272 | + | 0.593297i | −0.0672485 | + | 0.0263753i | ||||
\(507\) | −1.20818 | − | 1.20818i | −0.0536572 | − | 0.0536572i | ||||
\(508\) | −7.78024 | + | 5.21448i | −0.345192 | + | 0.231355i | ||||
\(509\) | −8.91678 | + | 27.4430i | −0.395229 | + | 1.21639i | 0.533553 | + | 0.845766i | \(0.320856\pi\) |
−0.928783 | + | 0.370624i | \(0.879144\pi\) | |||||||
\(510\) | −4.37918 | − | 0.228753i | −0.193913 | − | 0.0101293i | ||||
\(511\) | −24.2552 | + | 7.88099i | −1.07299 | + | 0.348635i | ||||
\(512\) | −1.47542 | − | 22.5793i | −0.0652051 | − | 0.997872i | ||||
\(513\) | 0.0424125 | + | 0.0832392i | 0.00187256 | + | 0.00367510i | ||||
\(514\) | −23.5231 | − | 6.12057i | −1.03756 | − | 0.269967i | ||||
\(515\) | 20.9620 | + | 19.1447i | 0.923696 | + | 0.843616i | ||||
\(516\) | −15.4318 | + | 1.84855i | −0.679347 | + | 0.0813777i | ||||
\(517\) | −0.516814 | + | 0.0818553i | −0.0227295 | + | 0.00359999i | ||||
\(518\) | −5.77887 | + | 1.27219i | −0.253909 | + | 0.0558970i | ||||
\(519\) | −12.9937 | − | 9.44046i | −0.570359 | − | 0.414390i | ||||
\(520\) | 1.91114 | − | 21.1661i | 0.0838092 | − | 0.928194i | ||||
\(521\) | 20.3759 | − | 14.8040i | 0.892686 | − | 0.648575i | −0.0438908 | − | 0.999036i | \(-0.513975\pi\) |
0.936577 | + | 0.350462i | \(0.113975\pi\) | |||||||
\(522\) | 2.65685 | − | 2.99410i | 0.116287 | − | 0.131048i | ||||
\(523\) | −1.71718 | − | 0.874949i | −0.0750872 | − | 0.0382589i | 0.416044 | − | 0.909345i | \(-0.363416\pi\) |
−0.491131 | + | 0.871086i | \(0.663416\pi\) | |||||||
\(524\) | 31.2653 | − | 14.4670i | 1.36583 | − | 0.631993i | ||||
\(525\) | 7.71758 | − | 12.9406i | 0.336823 | − | 0.564774i | ||||
\(526\) | −14.4568 | + | 22.6188i | −0.630345 | + | 0.986227i | ||||
\(527\) | 11.6926 | + | 5.95767i | 0.509337 | + | 0.259520i | ||||
\(528\) | −0.736815 | − | 0.857789i | −0.0320658 | − | 0.0373305i | ||||
\(529\) | 3.80956 | + | 5.24341i | 0.165633 | + | 0.227974i | ||||
\(530\) | 2.11388 | + | 0.448941i | 0.0918210 | + | 0.0195008i | ||||
\(531\) | 2.46046 | + | 1.78763i | 0.106775 | + | 0.0775766i | ||||
\(532\) | −0.528514 | − | 0.194133i | −0.0229140 | − | 0.00841671i | ||||
\(533\) | 4.97358 | + | 31.4020i | 0.215430 | + | 1.36017i | ||||
\(534\) | −5.47815 | − | 6.66555i | −0.237063 | − | 0.288447i | ||||
\(535\) | 5.88303 | + | 28.6742i | 0.254346 | + | 1.23969i | ||||
\(536\) | 41.2416 | − | 7.45488i | 1.78137 | − | 0.322002i | ||||
\(537\) | −3.29693 | + | 1.67987i | −0.142273 | + | 0.0724917i | ||||
\(538\) | −4.43177 | − | 0.433336i | −0.191067 | − | 0.0186824i | ||||
\(539\) | −0.559450 | + | 0.181776i | −0.0240972 | + | 0.00782966i | ||||
\(540\) | −0.0331872 | − | 4.47201i | −0.00142815 | − | 0.192445i | ||||
\(541\) | 3.83258 | + | 1.24528i | 0.164775 | + | 0.0535388i | 0.390243 | − | 0.920712i | \(-0.372391\pi\) |
−0.225468 | + | 0.974251i | \(0.572391\pi\) | |||||||
\(542\) | 19.9441 | + | 8.70698i | 0.856673 | + | 0.373997i | ||||
\(543\) | 17.0666 | + | 17.0666i | 0.732398 | + | 0.732398i | ||||
\(544\) | 2.54391 | − | 7.42044i | 0.109069 | − | 0.318149i | ||||
\(545\) | −26.0961 | + | 20.8280i | −1.11783 | + | 0.892176i | ||||
\(546\) | −14.2948 | + | 0.853125i | −0.611761 | + | 0.0365104i | ||||
\(547\) | −26.4425 | − | 4.18808i | −1.13060 | − | 0.179069i | −0.437021 | − | 0.899451i | \(-0.643967\pi\) |
−0.693578 | + | 0.720382i | \(0.743967\pi\) | |||||||
\(548\) | 0.0968505 | − | 2.55693i | 0.00413725 | − | 0.109227i | ||||
\(549\) | 11.6886 | 0.498859 | ||||||||
\(550\) | −0.630839 | + | 1.89683i | −0.0268991 | + | 0.0808812i | ||||
\(551\) | 0.264430i | 0.0112651i | ||||||||
\(552\) | 6.55312 | − | 9.44495i | 0.278919 | − | 0.402004i | ||||
\(553\) | 1.52287 | − | 9.61500i | 0.0647588 | − | 0.408871i | ||||
\(554\) | 14.6084 | − | 0.871842i | 0.620653 | − | 0.0370410i | ||||
\(555\) | 2.99320 | + | 0.824780i | 0.127054 | + | 0.0350100i | ||||
\(556\) | −2.71843 | + | 13.7679i | −0.115287 | + | 0.583889i | ||||
\(557\) | −17.7123 | + | 17.7123i | −0.750494 | + | 0.750494i | −0.974571 | − | 0.224078i | \(-0.928063\pi\) |
0.224078 | + | 0.974571i | \(0.428063\pi\) | |||||||
\(558\) | −5.35466 | + | 12.2653i | −0.226681 | + | 0.519232i | ||||
\(559\) | 8.06930 | − | 24.8348i | 0.341295 | − | 1.05040i | ||||
\(560\) | 18.4698 | + | 19.6298i | 0.780491 | + | 0.829513i | ||||
\(561\) | −0.121141 | − | 0.372833i | −0.00511457 | − | 0.0157410i | ||||
\(562\) | 5.03422 | + | 0.492243i | 0.212356 | + | 0.0207640i | ||||
\(563\) | −2.30556 | − | 4.52492i | −0.0971678 | − | 0.190703i | 0.837306 | − | 0.546735i | \(-0.184129\pi\) |
−0.934474 | + | 0.356032i | \(0.884129\pi\) | |||||||
\(564\) | 2.71482 | − | 2.51666i | 0.114314 | − | 0.105970i | ||||
\(565\) | −3.61304 | + | 32.1825i | −0.152002 | + | 1.35393i | ||||
\(566\) | −22.9984 | + | 18.9014i | −0.966693 | + | 0.794486i | ||||
\(567\) | −2.97634 | + | 0.471405i | −0.124994 | + | 0.0197972i | ||||
\(568\) | −21.3252 | + | 16.2138i | −0.894786 | + | 0.680318i | ||||
\(569\) | 19.5402 | − | 26.8947i | 0.819167 | − | 1.12749i | −0.170677 | − | 0.985327i | \(-0.554595\pi\) |
0.989844 | − | 0.142159i | \(-0.0454045\pi\) | |||||||
\(570\) | 0.197715 | + | 0.219510i | 0.00828139 | + | 0.00919425i | ||||
\(571\) | −25.9184 | + | 18.8308i | −1.08465 | + | 0.788046i | −0.978488 | − | 0.206303i | \(-0.933857\pi\) |
−0.106164 | + | 0.994349i | \(0.533857\pi\) | |||||||
\(572\) | 1.82783 | − | 0.518284i | 0.0764252 | − | 0.0216705i | ||||
\(573\) | −5.62891 | + | 11.0474i | −0.235151 | + | 0.461510i | ||||
\(574\) | −33.9751 | − | 21.7151i | −1.41809 | − | 0.906371i | ||||
\(575\) | −20.2767 | − | 1.35077i | −0.845598 | − | 0.0563311i | ||||
\(576\) | 7.70876 | + | 2.13893i | 0.321198 | + | 0.0891220i | ||||
\(577\) | −16.7127 | + | 32.8004i | −0.695757 | + | 1.36550i | 0.224612 | + | 0.974448i | \(0.427888\pi\) |
−0.920369 | + | 0.391051i | \(0.872112\pi\) | |||||||
\(578\) | −14.1521 | + | 15.9485i | −0.588648 | + | 0.663369i | ||||
\(579\) | −10.3497 | − | 14.2451i | −0.430117 | − | 0.592005i | ||||
\(580\) | 5.66293 | − | 11.3210i | 0.235140 | − | 0.470080i | ||||
\(581\) | 29.2662 | − | 40.2815i | 1.21417 | − | 1.67116i | ||||
\(582\) | −1.30355 | − | 5.92129i | −0.0540338 | − | 0.245445i | ||||
\(583\) | 0.0302215 | + | 0.190811i | 0.00125165 | + | 0.00790259i | ||||
\(584\) | −10.4010 | + | 21.5599i | −0.430397 | + | 0.892155i | ||||
\(585\) | 6.84237 | + | 3.10465i | 0.282897 | + | 0.128361i | ||||
\(586\) | 31.8535 | + | 8.28807i | 1.31586 | + | 0.342377i | ||||
\(587\) | 23.4414 | − | 11.9440i | 0.967528 | − | 0.492980i | 0.102516 | − | 0.994731i | \(-0.467311\pi\) |
0.865012 | + | 0.501751i | \(0.167311\pi\) | |||||||
\(588\) | 2.57181 | − | 3.27181i | 0.106060 | − | 0.134927i | ||||
\(589\) | −0.273196 | − | 0.840812i | −0.0112569 | − | 0.0346450i | ||||
\(590\) | 8.97924 | + | 3.44505i | 0.369669 | + | 0.141830i | ||||
\(591\) | 12.4627 | + | 4.04938i | 0.512648 | + | 0.166569i | ||||
\(592\) | −2.88856 | + | 4.74369i | −0.118719 | + | 0.194965i | ||||
\(593\) | −4.43203 | + | 4.43203i | −0.182002 | + | 0.182002i | −0.792228 | − | 0.610226i | \(-0.791079\pi\) |
0.610226 | + | 0.792228i | \(0.291079\pi\) | |||||||
\(594\) | 0.372194 | − | 0.145977i | 0.0152713 | − | 0.00598949i | ||||
\(595\) | 3.28674 | + | 8.74683i | 0.134743 | + | 0.358585i | ||||
\(596\) | 9.42031 | − | 16.8770i | 0.385871 | − | 0.691307i | ||||
\(597\) | −0.124128 | + | 0.783716i | −0.00508024 | + | 0.0320754i | ||||
\(598\) | 9.77813 | + | 16.6562i | 0.399858 | + | 0.681121i | ||||
\(599\) | −29.7462 | −1.21540 | −0.607699 | − | 0.794168i | \(-0.707907\pi\) | ||||
−0.607699 | + | 0.794168i | \(0.707907\pi\) | |||||||
\(600\) | −3.76385 | − | 13.6321i | −0.153659 | − | 0.556527i | ||||
\(601\) | −40.3102 | −1.64429 | −0.822143 | − | 0.569281i | \(-0.807222\pi\) | ||||
−0.822143 | + | 0.569281i | \(0.807222\pi\) | |||||||
\(602\) | 16.7662 | + | 28.5598i | 0.683341 | + | 1.16401i | ||||
\(603\) | −2.31795 | + | 14.6350i | −0.0943944 | + | 0.595983i | ||||
\(604\) | 12.8945 | + | 7.19740i | 0.524670 | + | 0.292858i | ||||
\(605\) | 24.3930 | − | 1.10528i | 0.991717 | − | 0.0449362i | ||||
\(606\) | −2.17120 | + | 0.851559i | −0.0881991 | + | 0.0345922i | ||||
\(607\) | 7.71252 | − | 7.71252i | 0.313042 | − | 0.313042i | −0.533045 | − | 0.846087i | \(-0.678952\pi\) |
0.846087 | + | 0.533045i | \(0.178952\pi\) | |||||||
\(608\) | −0.474676 | + | 0.232305i | −0.0192506 | + | 0.00942122i | ||||
\(609\) | −8.11207 | − | 2.63577i | −0.328717 | − | 0.106807i | ||||
\(610\) | 35.7016 | − | 9.57276i | 1.44552 | − | 0.387590i | ||||
\(611\) | 1.92197 | + | 5.91521i | 0.0777545 | + | 0.239304i | ||||
\(612\) | 2.18043 | + | 1.71393i | 0.0881385 | + | 0.0692815i | ||||
\(613\) | −12.0458 | + | 6.13766i | −0.486527 | + | 0.247898i | −0.680006 | − | 0.733207i | \(-0.738023\pi\) |
0.193479 | + | 0.981104i | \(0.438023\pi\) | |||||||
\(614\) | 39.9751 | + | 10.4013i | 1.61326 | + | 0.419761i | ||||
\(615\) | 10.4484 | + | 18.3967i | 0.421320 | + | 0.741826i | ||||
\(616\) | −1.04695 | + | 2.17018i | −0.0421828 | + | 0.0874392i | ||||
\(617\) | 2.61995 | + | 16.5417i | 0.105475 | + | 0.665945i | 0.982607 | + | 0.185696i | \(0.0594539\pi\) |
−0.877132 | + | 0.480250i | \(0.840546\pi\) | |||||||
\(618\) | −3.86021 | − | 17.5348i | −0.155281 | − | 0.705352i | ||||
\(619\) | −8.12418 | + | 11.1820i | −0.326538 | + | 0.449441i | −0.940449 | − | 0.339934i | \(-0.889595\pi\) |
0.613911 | + | 0.789375i | \(0.289595\pi\) | |||||||
\(620\) | −6.31015 | + | 41.8484i | −0.253422 | + | 1.68067i | ||||
\(621\) | 2.38895 | + | 3.28811i | 0.0958654 | + | 0.131947i | ||||
\(622\) | 18.1195 | − | 20.4195i | 0.726524 | − | 0.818747i | ||||
\(623\) | −8.34634 | + | 16.3806i | −0.334389 | + | 0.656275i | ||||
\(624\) | −8.70040 | + | 10.2452i | −0.348295 | + | 0.410138i | ||||
\(625\) | −17.2476 | + | 18.0975i | −0.689903 | + | 0.723901i | ||||
\(626\) | −36.5166 | − | 23.3395i | −1.45950 | − | 0.932834i | ||||
\(627\) | −0.0119900 | + | 0.0235316i | −0.000478833 | + | 0.000939763i | ||||
\(628\) | −8.28924 | − | 29.2336i | −0.330777 | − | 1.16655i | ||||
\(629\) | −1.55770 | + | 1.13174i | −0.0621096 | + | 0.0451253i | ||||
\(630\) | −8.70481 | + | 3.87741i | −0.346808 | + | 0.154480i | ||||
\(631\) | 14.5721 | − | 20.0567i | 0.580104 | − | 0.798445i | −0.413602 | − | 0.910458i | \(-0.635730\pi\) |
0.993707 | + | 0.112012i | \(0.0357296\pi\) | |||||||
\(632\) | −5.53020 | − | 7.27358i | −0.219979 | − | 0.289327i | ||||
\(633\) | −2.35816 | + | 0.373495i | −0.0937284 | + | 0.0148451i | ||||
\(634\) | 27.1712 | − | 22.3309i | 1.07911 | − | 0.886874i | ||||
\(635\) | −5.17145 | − | 9.10548i | −0.205223 | − | 0.361340i | ||||
\(636\) | −0.929166 | − | 1.00233i | −0.0368438 | − | 0.0397448i | ||||
\(637\) | 3.17432 | + | 6.22996i | 0.125771 | + | 0.246840i | ||||
\(638\) | 1.12625 | + | 0.110124i | 0.0445888 | + | 0.00435986i | ||||
\(639\) | −2.92681 | − | 9.00780i | −0.115783 | − | 0.356343i | ||||
\(640\) | 25.2973 | + | 0.219793i | 0.999962 | + | 0.00868807i | ||||
\(641\) | −2.94028 | + | 9.04926i | −0.116134 | + | 0.357424i | −0.992182 | − | 0.124800i | \(-0.960171\pi\) |
0.876048 | + | 0.482224i | \(0.160171\pi\) | |||||||
\(642\) | 7.40706 | − | 16.9665i | 0.292333 | − | 0.669615i | ||||
\(643\) | 17.0309 | − | 17.0309i | 0.671631 | − | 0.671631i | −0.286461 | − | 0.958092i | \(-0.592479\pi\) |
0.958092 | + | 0.286461i | \(0.0924788\pi\) | |||||||
\(644\) | −24.0313 | − | 4.74489i | −0.946964 | − | 0.186975i | ||||
\(645\) | −0.786554 | − | 17.3588i | −0.0309705 | − | 0.683502i | ||||
\(646\) | −0.182883 | + | 0.0109146i | −0.00719545 | + | 0.000429430i | ||||
\(647\) | 1.65699 | − | 10.4619i | 0.0651432 | − | 0.411298i | −0.933470 | − | 0.358655i | \(-0.883235\pi\) |
0.998613 | − | 0.0526429i | \(-0.0167645\pi\) | |||||||
\(648\) | −1.61235 | + | 2.32386i | −0.0633390 | + | 0.0912899i | ||||
\(649\) | 0.859772i | 0.0337490i | ||||||||
\(650\) | 23.4419 | + | 3.87903i | 0.919466 | + | 0.152148i | ||||
\(651\) | 28.5172 | 1.11768 | ||||||||
\(652\) | −10.4407 | − | 0.395470i | −0.408890 | − | 0.0154878i | ||||
\(653\) | 0.575286 | + | 0.0911163i | 0.0225127 | + | 0.00356566i | 0.167681 | − | 0.985841i | \(-0.446372\pi\) |
−0.145168 | + | 0.989407i | \(0.546372\pi\) | |||||||
\(654\) | 21.0794 | − | 1.25804i | 0.824271 | − | 0.0491931i | ||||
\(655\) | 13.5481 | + | 36.0550i | 0.529370 | + | 1.40878i | ||||
\(656\) | −36.7755 | + | 8.93881i | −1.43584 | + | 0.349002i | ||||
\(657\) | −5.98441 | − | 5.98441i | −0.233474 | − | 0.233474i | ||||
\(658\) | −7.22913 | − | 3.15602i | −0.281821 | − | 0.123034i | ||||
\(659\) | 26.2895 | + | 8.54198i | 1.02409 | + | 0.332748i | 0.772453 | − | 0.635072i | \(-0.219030\pi\) |
0.251641 | + | 0.967821i | \(0.419030\pi\) | |||||||
\(660\) | 1.01727 | − | 0.750688i | 0.0395972 | − | 0.0292205i | ||||
\(661\) | −25.4345 | + | 8.26418i | −0.989289 | + | 0.321439i | −0.758577 | − | 0.651583i | \(-0.774105\pi\) |
−0.230711 | + | 0.973022i | \(0.574105\pi\) | |||||||
\(662\) | −9.33598 | − | 0.912867i | −0.362853 | − | 0.0354796i | ||||
\(663\) | −4.15182 | + | 2.11546i | −0.161243 | + | 0.0821576i | ||||
\(664\) | −8.31293 | − | 45.9885i | −0.322604 | − | 1.78470i | ||||
\(665\) | 0.260105 | − | 0.573248i | 0.0100864 | − | 0.0222296i | ||||
\(666\) | −1.24678 | − | 1.51702i | −0.0483116 | − | 0.0587833i | ||||
\(667\) | 1.79964 | + | 11.3625i | 0.0696822 | + | 0.439956i | ||||
\(668\) | 16.4039 | − | 44.6587i | 0.634687 | − | 1.72790i | ||||
\(669\) | −5.67301 | − | 4.12169i | −0.219331 | − | 0.159354i | ||||
\(670\) | 4.90583 | + | 46.5992i | 0.189529 | + | 1.80029i | ||||
\(671\) | 1.94226 | + | 2.67329i | 0.0749800 | + | 0.103201i | ||||
\(672\) | −2.39511 | − | 16.8775i | −0.0923935 | − | 0.651063i | ||||
\(673\) | −32.5965 | − | 16.6088i | −1.25650 | − | 0.640221i | −0.306326 | − | 0.951927i | \(-0.599100\pi\) |
−0.950179 | + | 0.311706i | \(0.899100\pi\) | |||||||
\(674\) | 23.1445 | − | 36.2115i | 0.891492 | − | 1.39481i | ||||
\(675\) | 4.98894 | + | 0.332348i | 0.192024 | + | 0.0127921i | ||||
\(676\) | 1.43504 | + | 3.10133i | 0.0551939 | + | 0.119282i | ||||
\(677\) | −32.8308 | − | 16.7281i | −1.26179 | − | 0.642913i | −0.310312 | − | 0.950635i | \(-0.600434\pi\) |
−0.951476 | + | 0.307721i | \(0.900434\pi\) | |||||||
\(678\) | 13.5943 | − | 15.3200i | 0.522087 | − | 0.588359i | ||||
\(679\) | −10.4520 | + | 7.59379i | −0.401109 | + | 0.291423i | ||||
\(680\) | 8.06353 | + | 3.44927i | 0.309222 | + | 0.132274i | ||||
\(681\) | −1.85996 | − | 1.35134i | −0.0712737 | − | 0.0517834i | ||||
\(682\) | −3.69494 | + | 0.813427i | −0.141487 | + | 0.0311477i | ||||
\(683\) | −20.2038 | + | 3.19997i | −0.773078 | + | 0.122444i | −0.530496 | − | 0.847687i | \(-0.677994\pi\) |
−0.242582 | + | 0.970131i | \(0.577994\pi\) | |||||||
\(684\) | −0.0222227 | − | 0.185517i | −0.000849707 | − | 0.00709342i | ||||
\(685\) | 2.84292 | + | 0.319167i | 0.108623 | + | 0.0121947i | ||||
\(686\) | 20.2883 | + | 5.27889i | 0.774613 | + | 0.201549i | ||||
\(687\) | 3.76546 | + | 7.39012i | 0.143661 | + | 0.281951i | ||||
\(688\) | 30.2457 | + | 7.17119i | 1.15311 | + | 0.273399i | ||||
\(689\) | 2.18393 | − | 0.709603i | 0.0832012 | − | 0.0270337i | ||||
\(690\) | 9.98969 | + | 8.08666i | 0.380301 | + | 0.307854i | ||||
\(691\) | −1.61527 | + | 4.97128i | −0.0614476 | + | 0.189116i | −0.977068 | − | 0.212928i | \(-0.931700\pi\) |
0.915620 | + | 0.402044i | \(0.131700\pi\) | |||||||
\(692\) | 17.8837 | + | 26.6834i | 0.679838 | + | 1.01435i | ||||
\(693\) | −0.602381 | − | 0.602381i | −0.0228826 | − | 0.0228826i | ||||
\(694\) | 16.5244 | − | 6.48096i | 0.627257 | − | 0.246014i | ||||
\(695\) | −15.1264 | − | 4.16810i | −0.573778 | − | 0.158105i | ||||
\(696\) | −7.05254 | + | 3.78886i | −0.267326 | + | 0.143617i | ||||
\(697\) | −12.9589 | − | 2.05248i | −0.490853 | − | 0.0777434i | ||||
\(698\) | −19.6483 | + | 11.5347i | −0.743697 | + | 0.436593i | ||||
\(699\) | − | 2.33339i | − | 0.0882570i | ||||||
\(700\) | −23.4123 | + | 18.9722i | −0.884903 | + | 0.717081i | ||||
\(701\) | − | 29.0077i | − | 1.09561i | −0.836607 | − | 0.547803i | \(-0.815464\pi\) | ||
0.836607 | − | 0.547803i | \(-0.184536\pi\) | |||||||
\(702\) | −2.40584 | − | 4.09813i | −0.0908026 | − | 0.154674i | ||||
\(703\) | 0.128118 | + | 0.0202919i | 0.00483205 | + | 0.000765322i | ||||
\(704\) | 0.791745 | + | 2.11847i | 0.0298400 | + | 0.0798430i | ||||
\(705\) | 2.58180 | + | 3.23482i | 0.0972363 | + | 0.121830i | ||||
\(706\) | 0.160950 | + | 0.410372i | 0.00605744 | + | 0.0154445i | ||||
\(707\) | 3.51401 | + | 3.51401i | 0.132158 | + | 0.132158i | ||||
\(708\) | −3.38644 | − | 5.05273i | −0.127270 | − | 0.189893i | ||||
\(709\) | −9.19960 | + | 28.3135i | −0.345498 | + | 1.06333i | 0.615818 | + | 0.787888i | \(0.288826\pi\) |
−0.961316 | + | 0.275446i | \(0.911174\pi\) | |||||||
\(710\) | −16.3168 | − | 25.1163i | −0.612359 | − | 0.942598i | ||||
\(711\) | 3.07237 | − | 0.998273i | 0.115223 | − | 0.0374382i | ||||
\(712\) | 5.68796 | + | 16.2913i | 0.213165 | + | 0.610541i | ||||
\(713\) | −17.4615 | − | 34.2701i | −0.653938 | − | 1.28343i | ||||
\(714\) | 1.48810 | − | 5.71922i | 0.0556908 | − | 0.214036i | ||||
\(715\) | 0.426913 | + | 2.08079i | 0.0159656 | + | 0.0778173i | ||||
\(716\) | 7.34793 | − | 0.880195i | 0.274605 | − | 0.0328944i | ||||
\(717\) | 2.62131 | − | 0.415175i | 0.0978948 | − | 0.0155050i | ||||
\(718\) | −3.78902 | − | 17.2114i | −0.141405 | − | 0.642323i | ||||
\(719\) | 3.22089 | + | 2.34011i | 0.120119 | + | 0.0872714i | 0.646223 | − | 0.763149i | \(-0.276348\pi\) |
−0.526104 | + | 0.850420i | \(0.676348\pi\) | |||||||
\(720\) | −3.02154 | + | 8.41845i | −0.112606 | + | 0.313737i | ||||
\(721\) | −30.9515 | + | 22.4876i | −1.15269 | + | 0.837482i | ||||
\(722\) | −20.0889 | − | 17.8261i | −0.747633 | − | 0.663420i | ||||
\(723\) | −23.0341 | − | 11.7365i | −0.856647 | − | 0.436483i | ||||
\(724\) | −20.2712 | − | 43.8090i | −0.753373 | − | 1.62815i | ||||
\(725\) | 12.1550 | + | 7.24907i | 0.451426 | + | 0.269224i | ||||
\(726\) | −13.0125 | − | 8.31692i | −0.482939 | − | 0.308670i | ||||
\(727\) | 26.6627 | + | 13.5853i | 0.988866 | + | 0.503852i | 0.872111 | − | 0.489309i | \(-0.162751\pi\) |
0.116755 | + | 0.993161i | \(0.462751\pi\) | |||||||
\(728\) | 27.4248 | + | 8.25590i | 1.01643 | + | 0.305984i | ||||
\(729\) | −0.587785 | − | 0.809017i | −0.0217698 | − | 0.0299636i | ||||
\(730\) | −23.1798 | − | 13.3776i | −0.857923 | − | 0.495127i | ||||
\(731\) | 8.71811 | + | 6.33408i | 0.322451 | + | 0.234274i | ||||
\(732\) | −21.9438 | − | 8.06034i | −0.811065 | − | 0.297919i | ||||
\(733\) | −3.39386 | − | 21.4280i | −0.125355 | − | 0.791461i | −0.967623 | − | 0.252401i | \(-0.918780\pi\) |
0.842268 | − | 0.539060i | \(-0.181220\pi\) | |||||||
\(734\) | 0.0411291 | − | 0.0338024i | 0.00151810 | − | 0.00124767i | ||||
\(735\) | 3.43559 | + | 3.13774i | 0.126724 | + | 0.115737i | ||||
\(736\) | −18.8157 | + | 13.2126i | −0.693554 | + | 0.487023i | ||||
\(737\) | −3.73231 | + | 1.90170i | −0.137481 | + | 0.0700502i | ||||
\(738\) | 1.30215 | − | 13.3172i | 0.0479327 | − | 0.490212i | ||||
\(739\) | 6.09760 | − | 1.98123i | 0.224304 | − | 0.0728807i | −0.194709 | − | 0.980861i | \(-0.562376\pi\) |
0.419013 | + | 0.907980i | \(0.362376\pi\) | |||||||
\(740\) | −5.05055 | − | 3.61248i | −0.185662 | − | 0.132797i | ||||
\(741\) | 0.298557 | + | 0.0970070i | 0.0109678 | + | 0.00356364i | ||||
\(742\) | −1.16522 | + | 2.66904i | −0.0427766 | + | 0.0979835i | ||||
\(743\) | −21.4253 | − | 21.4253i | −0.786019 | − | 0.786019i | 0.194820 | − | 0.980839i | \(-0.437588\pi\) |
−0.980839 | + | 0.194820i | \(0.937588\pi\) | |||||||
\(744\) | 18.5106 | − | 19.3339i | 0.678632 | − | 0.708814i | ||||
\(745\) | 18.0394 | + | 11.8973i | 0.660913 | + | 0.435885i | ||||
\(746\) | −1.99938 | − | 33.5013i | −0.0732027 | − | 1.22657i | ||||
\(747\) | 16.3194 | + | 2.58475i | 0.597097 | + | 0.0945709i | ||||
\(748\) | −0.0296763 | + | 0.783478i | −0.00108507 | + | 0.0286468i | ||||
\(749\) | −39.4477 | −1.44139 | ||||||||
\(750\) | 15.5103 | − | 3.07072i | 0.566358 | − | 0.112127i | ||||
\(751\) | − | 4.73646i | − | 0.172836i | −0.996259 | − | 0.0864180i | \(-0.972458\pi\) | ||
0.996259 | − | 0.0864180i | \(-0.0275421\pi\) | |||||||
\(752\) | −6.83214 | + | 2.85257i | −0.249142 | + | 0.104022i | ||||
\(753\) | −4.48326 | + | 28.3062i | −0.163379 | + | 1.03154i | ||||
\(754\) | −0.801334 | − | 13.4270i | −0.0291829 | − | 0.488983i | ||||
\(755\) | −9.08992 | + | 13.7827i | −0.330816 | + | 0.501602i | ||||
\(756\) | 5.91272 | + | 1.16745i | 0.215044 | + | 0.0424596i | ||||
\(757\) | 32.5386 | − | 32.5386i | 1.18264 | − | 1.18264i | 0.203579 | − | 0.979059i | \(-0.434743\pi\) |
0.979059 | − | 0.203579i | \(-0.0652573\pi\) | |||||||
\(758\) | −7.16864 | − | 3.12961i | −0.260377 | − | 0.113672i | ||||
\(759\) | −0.355055 | + | 1.09275i | −0.0128877 | + | 0.0396642i | ||||
\(760\) | −0.219811 | − | 0.548440i | −0.00797339 | − | 0.0198940i | ||||
\(761\) | −15.6782 | − | 48.2527i | −0.568336 | − | 1.74916i | −0.657826 | − | 0.753170i | \(-0.728524\pi\) |
0.0894905 | − | 0.995988i | \(-0.471476\pi\) | |||||||
\(762\) | −0.644500 | + | 6.59136i | −0.0233478 | + | 0.238780i | ||||
\(763\) | −20.4280 | − | 40.0921i | −0.739542 | − | 1.45143i | ||||
\(764\) | 18.1856 | − | 16.8582i | 0.657932 | − | 0.609909i | ||||
\(765\) | −2.09108 | + | 2.28957i | −0.0756031 | + | 0.0827797i | ||||
\(766\) | 19.1911 | + | 23.3509i | 0.693404 | + | 0.843701i | ||||
\(767\) | 10.0937 | − | 1.59869i | 0.364464 | − | 0.0577255i | ||||
\(768\) | −12.9971 | − | 9.33139i | −0.468993 | − | 0.336718i | ||||
\(769\) | 16.5014 | − | 22.7122i | 0.595054 | − | 0.819022i | −0.400190 | − | 0.916432i | \(-0.631056\pi\) |
0.995244 | + | 0.0974102i | \(0.0310559\pi\) | |||||||
\(770\) | −2.33324 | − | 1.34657i | −0.0840842 | − | 0.0485269i | ||||
\(771\) | −13.9047 | + | 10.1024i | −0.500767 | + | 0.363828i | ||||
\(772\) | 9.60677 | + | 33.8801i | 0.345755 | + | 1.21937i | ||||
\(773\) | −20.2623 | + | 39.7669i | −0.728783 | + | 1.43032i | 0.167060 | + | 0.985947i | \(0.446573\pi\) |
−0.895843 | + | 0.444370i | \(0.853427\pi\) | |||||||
\(774\) | −5.91857 | + | 9.26009i | −0.212739 | + | 0.332847i | ||||
\(775\) | −46.1389 | − | 10.4920i | −1.65736 | − | 0.376884i | ||||
\(776\) | −1.63602 | + | 12.0153i | −0.0587296 | + | 0.431323i | ||||
\(777\) | −1.89955 | + | 3.72808i | −0.0681460 | + | 0.133744i | ||||
\(778\) | 14.2015 | + | 12.6019i | 0.509150 | + | 0.451800i | ||||
\(779\) | 0.519552 | + | 0.715102i | 0.0186149 | + | 0.0256212i | ||||
\(780\) | −10.7047 | − | 10.5469i | −0.383288 | − | 0.377641i | ||||
\(781\) | 1.57382 | − | 2.16618i | 0.0563157 | − | 0.0775120i | ||||
\(782\) | −7.78416 | + | 1.71365i | −0.278361 | + | 0.0612801i | ||||
\(783\) | −0.442788 | − | 2.79565i | −0.0158239 | − | 0.0999084i | ||||
\(784\) | −7.08441 | + | 4.36886i | −0.253015 | + | 0.156031i | ||||
\(785\) | 33.2794 | − | 6.82789i | 1.18779 | − | 0.243698i | ||||
\(786\) | 6.13405 | − | 23.5750i | 0.218794 | − | 0.840891i | ||||
\(787\) | −8.99340 | + | 4.58236i | −0.320580 | + | 0.163344i | −0.606874 | − | 0.794798i | \(-0.707577\pi\) |
0.286294 | + | 0.958142i | \(0.407577\pi\) | |||||||
\(788\) | −20.6046 | − | 16.1963i | −0.734008 | − | 0.576968i | ||||
\(789\) | 5.86566 | + | 18.0526i | 0.208823 | + | 0.642691i | ||||
\(790\) | 8.56664 | − | 5.56532i | 0.304787 | − | 0.198005i | ||||
\(791\) | −41.5071 | − | 13.4865i | −1.47582 | − | 0.479524i | ||||
\(792\) | −0.799404 | + | 0.0173901i | −0.0284056 | + | 0.000617932i | ||||
\(793\) | 27.7730 | − | 27.7730i | 0.986247 | − | 0.986247i | ||||
\(794\) | 1.79407 | + | 4.57431i | 0.0636691 | + | 0.162336i | ||||
\(795\) | 1.19432 | − | 0.953218i | 0.0423580 | − | 0.0338071i | ||||
\(796\) | 0.773474 | − | 1.38572i | 0.0274151 | − | 0.0491155i | ||||
\(797\) | 6.71993 | − | 42.4280i | 0.238032 | − | 1.50288i | −0.521975 | − | 0.852961i | \(-0.674805\pi\) |
0.760007 | − | 0.649915i | \(-0.225195\pi\) | |||||||
\(798\) | −0.343338 | + | 0.201559i | −0.0121540 | + | 0.00713512i | ||||
\(799\) | −2.56670 | −0.0908032 | ||||||||
\(800\) | −2.33441 | + | 28.1878i | −0.0825337 | + | 0.996588i | ||||
\(801\) | −6.10080 | −0.215561 | ||||||||
\(802\) | 19.0971 | − | 11.2111i | 0.674341 | − | 0.395877i | ||||
\(803\) | 0.374277 | − | 2.36309i | 0.0132079 | − | 0.0833916i | ||||
\(804\) | 14.4437 | − | 25.8767i | 0.509391 | − | 0.912599i | ||||
\(805\) | 7.27524 | − | 26.4025i | 0.256418 | − | 0.930565i | ||||
\(806\) | 16.4202 | + | 41.8662i | 0.578376 | + | 1.47467i | ||||
\(807\) | −2.22645 | + | 2.22645i | −0.0783748 | + | 0.0783748i | ||||
\(808\) | 4.66335 | − | 0.101446i | 0.164056 | − | 0.00356885i | ||||
\(809\) | −27.7947 | − | 9.03103i | −0.977208 | − | 0.317514i | −0.223486 | − | 0.974707i | \(-0.571744\pi\) |
−0.753722 | + | 0.657193i | \(0.771744\pi\) | |||||||
\(810\) | −2.45789 | − | 1.98967i | −0.0863615 | − | 0.0699097i | ||||
\(811\) | 7.64133 | + | 23.5176i | 0.268323 | + | 0.825814i | 0.990909 | + | 0.134533i | \(0.0429534\pi\) |
−0.722586 | + | 0.691281i | \(0.757047\pi\) | |||||||
\(812\) | 13.4117 | + | 10.5423i | 0.470657 | + | 0.369961i | ||||
\(813\) | 13.7108 | − | 6.98599i | 0.480858 | − | 0.245009i | ||||
\(814\) | 0.139783 | − | 0.537225i | 0.00489938 | − | 0.0188297i | ||||
\(815\) | 1.30326 | − | 11.6085i | 0.0456511 | − | 0.406629i | ||||
\(816\) | −2.91153 | − | 4.72125i | −0.101924 | − | 0.165277i | ||||
\(817\) | −0.113569 | − | 0.717047i | −0.00397328 | − | 0.0250863i | ||||
\(818\) | −50.3045 | + | 11.0744i | −1.75886 | + | 0.387206i | ||||
\(819\) | −5.95188 | + | 8.19206i | −0.207976 | + | 0.286254i | ||||
\(820\) | −6.92923 | − | 41.7422i | −0.241979 | − | 1.45770i | ||||
\(821\) | 17.8856 | + | 24.6175i | 0.624213 | + | 0.859155i | 0.997651 | − | 0.0684998i | \(-0.0218213\pi\) |
−0.373438 | + | 0.927655i | \(0.621821\pi\) | |||||||
\(822\) | −1.35333 | − | 1.20089i | −0.0472027 | − | 0.0418858i | ||||
\(823\) | −20.0687 | + | 39.3871i | −0.699552 | + | 1.37295i | 0.218243 | + | 0.975894i | \(0.429967\pi\) |
−0.917795 | + | 0.397054i | \(0.870033\pi\) | |||||||
\(824\) | −4.84476 | + | 35.5810i | −0.168775 | + | 1.23952i | ||||
\(825\) | 0.752983 | + | 1.19624i | 0.0262155 | + | 0.0416476i | ||||
\(826\) | −6.98004 | + | 10.9208i | −0.242867 | + | 0.379985i | ||||
\(827\) | 21.9177 | − | 43.0160i | 0.762155 | − | 1.49581i | −0.103204 | − | 0.994660i | \(-0.532910\pi\) |
0.865359 | − | 0.501152i | \(-0.167090\pi\) | |||||||
\(828\) | −2.21748 | − | 7.82036i | −0.0770627 | − | 0.271776i | ||||
\(829\) | −45.8230 | + | 33.2923i | −1.59150 | + | 1.15629i | −0.689734 | + | 0.724063i | \(0.742272\pi\) |
−0.901764 | + | 0.432228i | \(0.857728\pi\) | |||||||
\(830\) | 51.9627 | − | 5.47048i | 1.80365 | − | 0.189883i | ||||
\(831\) | 6.08246 | − | 8.37179i | 0.210998 | − | 0.290414i | ||||
\(832\) | 23.3988 | − | 13.2343i | 0.811206 | − | 0.458816i | ||||
\(833\) | −2.84993 | + | 0.451385i | −0.0987444 | + | 0.0156396i | ||||
\(834\) | 6.30070 | + | 7.66640i | 0.218176 | + | 0.265466i | ||||
\(835\) | 48.4387 | + | 21.9785i | 1.67629 | + | 0.760597i | ||||
\(836\) | 0.0387366 | − | 0.0359092i | 0.00133973 | − | 0.00124194i | ||||
\(837\) | 4.29628 | + | 8.43191i | 0.148501 | + | 0.291450i | ||||
\(838\) | −3.63698 | + | 37.1957i | −0.125637 | + | 1.28490i | ||||
\(839\) | −11.0621 | − | 34.0456i | −0.381905 | − | 1.17538i | −0.938701 | − | 0.344734i | \(-0.887969\pi\) |
0.556795 | − | 0.830650i | \(-0.312031\pi\) | |||||||
\(840\) | 19.0158 | − | 1.27656i | 0.656109 | − | 0.0440456i | ||||
\(841\) | −6.48573 | + | 19.9610i | −0.223646 | + | 0.688312i | ||||
\(842\) | −23.4002 | − | 10.2158i | −0.806425 | − | 0.352060i | ||||
\(843\) | 2.52912 | − | 2.52912i | 0.0871074 | − | 0.0871074i | ||||
\(844\) | 4.68466 | + | 0.924971i | 0.161253 | + | 0.0318388i | ||||
\(845\) | −3.57644 | + | 1.34390i | −0.123033 | + | 0.0462315i | ||||
\(846\) | −0.155944 | − | 2.61296i | −0.00536145 | − | 0.0898356i | ||||
\(847\) | −5.14779 | + | 32.5018i | −0.176880 | + | 1.11678i | ||||
\(848\) | 1.05319 | + | 2.52247i | 0.0361665 | + | 0.0866219i | ||||
\(849\) | 21.0498i | 0.722427i | ||||||||
\(850\) | −4.51185 | + | 8.70579i | −0.154755 | + | 0.298606i | ||||
\(851\) | 5.64328 | 0.193449 | ||||||||
\(852\) | −0.716992 | + | 18.9292i | −0.0245638 | + | 0.648502i | ||||
\(853\) | −11.8495 | − | 1.87678i | −0.405721 | − | 0.0642598i | −0.0497610 | − | 0.998761i | \(-0.515846\pi\) |
−0.355960 | + | 0.934501i | \(0.615846\pi\) | |||||||
\(854\) | 2.96759 | + | 49.7243i | 0.101549 | + | 1.70153i | ||||
\(855\) | 0.208683 | − | 0.00945573i | 0.00713680 | − | 0.000323379i | ||||
\(856\) | −25.6056 | + | 26.7444i | −0.875181 | + | 0.914105i | ||||
\(857\) | 36.2767 | + | 36.2767i | 1.23919 | + | 1.23919i | 0.960333 | + | 0.278856i | \(0.0899551\pi\) |
0.278856 | + | 0.960333i | \(0.410045\pi\) | |||||||
\(858\) | 0.537507 | − | 1.23121i | 0.0183502 | − | 0.0420327i | ||||
\(859\) | 19.8652 | + | 6.45461i | 0.677793 | + | 0.220228i | 0.627629 | − | 0.778513i | \(-0.284025\pi\) |
0.0501644 | + | 0.998741i | \(0.484025\pi\) | |||||||
\(860\) | −10.4938 | + | 33.1311i | −0.357835 | + | 1.12976i | ||||
\(861\) | −27.1164 | + | 8.81065i | −0.924124 | + | 0.300266i | ||||
\(862\) | 5.43552 | − | 55.5896i | 0.185134 | − | 1.89339i | ||||
\(863\) | 22.8038 | − | 11.6191i | 0.776249 | − | 0.395519i | −0.0205299 | − | 0.999789i | \(-0.506535\pi\) |
0.796779 | + | 0.604270i | \(0.206535\pi\) | |||||||
\(864\) | 4.62946 | − | 3.25086i | 0.157497 | − | 0.110597i | ||||
\(865\) | −31.2285 | + | 17.7362i | −1.06180 | + | 0.603048i | ||||
\(866\) | −15.9435 | + | 13.1033i | −0.541783 | + | 0.445269i | ||||
\(867\) | 2.35857 | + | 14.8914i | 0.0801012 | + | 0.505739i | ||||
\(868\) | −53.5370 | − | 19.6651i | −1.81717 | − | 0.667478i | ||||
\(869\) | 0.738837 | + | 0.536797i | 0.0250633 | + | 0.0182096i | ||||
\(870\) | −3.64202 | − | 8.17636i | −0.123476 | − | 0.277205i | ||||
\(871\) | 29.2661 | + | 40.2813i | 0.991643 | + | 1.36488i | ||||
\(872\) | −40.4412 | − | 12.1743i | −1.36951 | − | 0.412275i | ||||
\(873\) | −3.81996 | − | 1.94637i | −0.129286 | − | 0.0658745i | ||||
\(874\) | 0.452451 | + | 0.289183i | 0.0153044 | + | 0.00978176i | ||||
\(875\) | −19.2199 | − | 27.6712i | −0.649752 | − | 0.935457i | ||||
\(876\) | 7.10810 | + | 15.3616i | 0.240161 | + | 0.519022i | ||||
\(877\) | 19.1884 | + | 9.77699i | 0.647947 | + | 0.330145i | 0.746890 | − | 0.664948i | \(-0.231546\pi\) |
−0.0989430 | + | 0.995093i | \(0.531546\pi\) | |||||||
\(878\) | 11.6078 | + | 10.3003i | 0.391744 | + | 0.347619i | ||||
\(879\) | 18.8289 | − | 13.6800i | 0.635082 | − | 0.461414i | ||||
\(880\) | −2.42745 | + | 0.707812i | −0.0818292 | + | 0.0238603i | ||||
\(881\) | 12.0677 | + | 8.76768i | 0.406570 | + | 0.295391i | 0.772212 | − | 0.635365i | \(-0.219150\pi\) |
−0.365642 | + | 0.930756i | \(0.619150\pi\) | |||||||
\(882\) | −0.632674 | − | 2.87388i | −0.0213032 | − | 0.0967686i | ||||
\(883\) | 3.93229 | − | 0.622813i | 0.132332 | − | 0.0209593i | −0.0899170 | − | 0.995949i | \(-0.528660\pi\) |
0.222249 | + | 0.974990i | \(0.428660\pi\) | |||||||
\(884\) | 9.25324 | − | 1.10843i | 0.311220 | − | 0.0372805i | ||||
\(885\) | 5.91338 | − | 3.35850i | 0.198776 | − | 0.112895i | ||||
\(886\) | 2.09945 | − | 8.06881i | 0.0705324 | − | 0.271077i | ||||
\(887\) | −3.92853 | − | 7.71018i | −0.131907 | − | 0.258883i | 0.815600 | − | 0.578616i | \(-0.196407\pi\) |
−0.947508 | + | 0.319733i | \(0.896407\pi\) | |||||||
\(888\) | 1.29453 | + | 3.70775i | 0.0434415 | + | 0.124424i | ||||
\(889\) | 13.4213 | − | 4.36085i | 0.450136 | − | 0.146258i | ||||
\(890\) | −18.6342 | + | 4.99643i | −0.624620 | + | 0.167481i | ||||
\(891\) | 0.0873587 | − | 0.268863i | 0.00292663 | − | 0.00900723i | ||||
\(892\) | 7.80801 | + | 11.6499i | 0.261432 | + | 0.390068i | ||||
\(893\) | 0.122271 | + | 0.122271i | 0.00409164 | + | 0.00409164i | ||||
\(894\) | −4.99019 | − | 12.7234i | −0.166897 | − | 0.425534i | ||||
\(895\) | 0.374522 | + | 8.26549i | 0.0125189 | + | 0.276285i | ||||
\(896\) | −7.14201 | + | 33.3367i | −0.238598 | + | 1.11370i | ||||
\(897\) | 13.4891 | + | 2.13646i | 0.450387 | + | 0.0713344i | ||||
\(898\) | 3.42615 | + | 5.83614i | 0.114332 | + | 0.194755i | ||||
\(899\) | 26.7860i | 0.893364i | ||||||||
\(900\) | −9.13684 | − | 4.06425i | −0.304561 | − | 0.135475i | ||||
\(901\) | 0.947641i | 0.0315705i | ||||||||
\(902\) | 3.26212 | − | 1.91505i | 0.108617 | − | 0.0637643i | ||||
\(903\) | 23.1293 | + | 3.66332i | 0.769695 | + | 0.121908i | ||||
\(904\) | −36.0859 | + | 19.3866i | −1.20020 | + | 0.644787i | ||||
\(905\) | 50.5203 | − | 18.9837i | 1.67935 | − | 0.631039i | ||||
\(906\) | 9.72106 | − | 3.81266i | 0.322961 | − | 0.126667i | ||||
\(907\) | 13.7535 | + | 13.7535i | 0.456678 | + | 0.456678i | 0.897563 | − | 0.440885i | \(-0.145336\pi\) |
−0.440885 | + | 0.897563i | \(0.645336\pi\) | |||||||
\(908\) | 2.55994 | + | 3.81955i | 0.0849546 | + | 0.126756i | ||||
\(909\) | −0.509610 | + | 1.56842i | −0.0169027 | + | 0.0520211i | ||||
\(910\) | −11.4702 | + | 29.8962i | −0.380234 | + | 0.991049i | ||||
\(911\) | −17.2226 | + | 5.59595i | −0.570609 | + | 0.185402i | −0.580089 | − | 0.814553i | \(-0.696982\pi\) |
0.00948031 | + | 0.999955i | \(0.496982\pi\) | |||||||
\(912\) | −0.0862101 | + | 0.363606i | −0.00285470 | + | 0.0120402i | ||||
\(913\) | 2.12059 | + | 4.16189i | 0.0701812 | + | 0.137738i | ||||
\(914\) | 32.1644 | + | 8.36897i | 1.06390 | + | 0.276821i | ||||
\(915\) | 10.7995 | − | 23.8011i | 0.357020 | − | 0.786841i | ||||
\(916\) | −1.97297 | − | 16.4705i | −0.0651888 | − | 0.544201i | ||||
\(917\) | −51.2676 | + | 8.11999i | −1.69300 | + | 0.268146i | ||||
\(918\) | 1.91524 | − | 0.421632i | 0.0632122 | − | 0.0139159i | ||||
\(919\) | −9.62088 | − | 6.98998i | −0.317364 | − | 0.230578i | 0.417686 | − | 0.908591i | \(-0.362841\pi\) |
−0.735050 | + | 0.678013i | \(0.762841\pi\) | |||||||
\(920\) | −13.1777 | − | 22.0703i | −0.434457 | − | 0.727637i | ||||
\(921\) | 23.6296 | − | 17.1679i | 0.778623 | − | 0.565703i | ||||
\(922\) | 2.66592 | − | 3.00432i | 0.0877974 | − | 0.0989422i | ||||
\(923\) | −28.3574 | − | 14.4488i | −0.933396 | − | 0.475589i | ||||
\(924\) | 0.715490 | + | 1.54628i | 0.0235379 | + | 0.0508688i | ||||
\(925\) | 4.44497 | − | 5.33289i | 0.146150 | − | 0.175344i | ||||
\(926\) | −27.2075 | + | 42.5683i | −0.894093 | + | 1.39888i | ||||
\(927\) | −11.3121 | − | 5.76380i | −0.371538 | − | 0.189308i | ||||
\(928\) | 15.8529 | − | 2.24971i | 0.520396 | − | 0.0738504i | ||||
\(929\) | −7.42668 | − | 10.2220i | −0.243662 | − | 0.335371i | 0.669617 | − | 0.742706i | \(-0.266458\pi\) |
−0.913279 | + | 0.407335i | \(0.866458\pi\) | |||||||
\(930\) | 20.0280 | + | 22.2358i | 0.656745 | + | 0.729139i | ||||
\(931\) | 0.157266 | + | 0.114261i | 0.00515419 | + | 0.00374474i | ||||
\(932\) | −1.60908 | + | 4.38061i | −0.0527071 | + | 0.143492i | ||||
\(933\) | −3.01977 | − | 19.0661i | −0.0988630 | − | 0.624196i | ||||
\(934\) | −13.0185 | − | 15.8403i | −0.425978 | − | 0.518310i | ||||
\(935\) | −0.871111 | − | 0.0977972i | −0.0284884 | − | 0.00319831i | ||||
\(936\) | 1.69060 | + | 9.35269i | 0.0552591 | + | 0.305702i | ||||
\(937\) | 28.6133 | − | 14.5792i | 0.934755 | − | 0.476282i | 0.0808594 | − | 0.996726i | \(-0.474234\pi\) |
0.853896 | + | 0.520444i | \(0.174234\pi\) | |||||||
\(938\) | −62.8468 | − | 6.14513i | −2.05202 | − | 0.200645i | ||||
\(939\) | −29.1448 | + | 9.46973i | −0.951105 | + | 0.309033i | ||||
\(940\) | −2.61628 | − | 7.85329i | −0.0853335 | − | 0.256146i | ||||
\(941\) | −9.55987 | − | 3.10619i | −0.311643 | − | 0.101259i | 0.149020 | − | 0.988834i | \(-0.452388\pi\) |
−0.460663 | + | 0.887575i | \(0.652388\pi\) | |||||||
\(942\) | −19.6915 | − | 8.59668i | −0.641582 | − | 0.280095i | ||||
\(943\) | 27.1918 | + | 27.1918i | 0.885486 | + | 0.885486i | ||||
\(944\) | 2.87326 | + | 11.8210i | 0.0935168 | + | 0.384741i | ||||
\(945\) | −1.79002 | + | 6.49614i | −0.0582294 | + | 0.211319i | ||||
\(946\) | −3.10132 | + | 0.185089i | −0.100833 | + | 0.00601777i | ||||
\(947\) | −18.7753 | − | 2.97371i | −0.610114 | − | 0.0966326i | −0.156271 | − | 0.987714i | \(-0.549947\pi\) |
−0.453843 | + | 0.891082i | \(0.649947\pi\) | |||||||
\(948\) | −6.45633 | − | 0.244551i | −0.209692 | − | 0.00794264i | ||||
\(949\) | −28.4387 | −0.923159 | ||||||||
\(950\) | 0.629654 | − | 0.199788i | 0.0204287 | − | 0.00648199i | ||||
\(951\) | − | 24.8691i | − | 0.806436i | ||||||
\(952\) | −6.73760 | + | 9.71084i | −0.218367 | + | 0.314730i | ||||
\(953\) | 2.20490 | − | 13.9212i | 0.0714238 | − | 0.450952i | −0.925896 | − | 0.377780i | \(-0.876688\pi\) |
0.997319 | − | 0.0731724i | \(-0.0233123\pi\) | |||||||
\(954\) | −0.964723 | + | 0.0575754i | −0.0312341 | + | 0.00186407i | ||||
\(955\) | 17.2946 | + | 21.6689i | 0.559640 | + | 0.701189i | ||||
\(956\) | −5.20744 | − | 1.02819i | −0.168421 | − | 0.0332541i | ||||
\(957\) | 0.565812 | − | 0.565812i | 0.0182901 | − | 0.0182901i | ||||
\(958\) | −15.9210 | + | 36.4684i | −0.514383 | + | 1.17824i | ||||
\(959\) | −1.19136 | + | 3.66664i | −0.0384711 | + | 0.118402i | ||||
\(960\) | 11.4778 | − | 13.7208i | 0.370443 | − | 0.442838i | ||||
\(961\) | −18.0945 | − | 55.6893i | −0.583695 | − | 1.79643i | ||||
\(962\) | −6.56696 | − | 0.642114i | −0.211727 | − | 0.0207026i | ||||
\(963\) | −5.94300 | − | 11.6638i | −0.191511 | − | 0.375861i | ||||
\(964\) | 35.1499 | + | 37.9175i | 1.13210 | + | 1.22124i | ||||
\(965\) | −38.5690 | + | 7.91314i | −1.24158 | + | 0.254733i | ||||
\(966\) | −13.3814 | + | 10.9976i | −0.430538 | + | 0.353842i | ||||
\(967\) | 23.2805 | − | 3.68727i | 0.748651 | − | 0.118575i | 0.229561 | − | 0.973294i | \(-0.426271\pi\) |
0.519090 | + | 0.854720i | \(0.326271\pi\) | |||||||
\(968\) | 18.6939 | + | 24.5871i | 0.600844 | + | 0.790259i | ||||
\(969\) | −0.0761465 | + | 0.104807i | −0.00244618 | + | 0.00336688i | ||||
\(970\) | −13.2617 | − | 2.81649i | −0.425806 | − | 0.0904319i | ||||
\(971\) | 3.05972 | − | 2.22302i | 0.0981911 | − | 0.0713400i | −0.537606 | − | 0.843196i | \(-0.680671\pi\) |
0.635797 | + | 0.771856i | \(0.280671\pi\) | |||||||
\(972\) | 0.545595 | + | 1.92414i | 0.0175000 | + | 0.0617169i | ||||
\(973\) | 9.59956 | − | 18.8402i | 0.307748 | − | 0.603989i | ||||
\(974\) | −4.32066 | − | 2.76154i | −0.138443 | − | 0.0884856i | ||||
\(975\) | 12.6437 | − | 11.0644i | 0.404924 | − | 0.354344i | ||||
\(976\) | 35.6380 | + | 30.2643i | 1.14074 | + | 0.968735i | ||||
\(977\) | −26.1594 | + | 51.3408i | −0.836914 | + | 1.64254i | −0.0728979 | + | 0.997339i | \(0.523225\pi\) |
−0.764016 | + | 0.645197i | \(0.776775\pi\) | |||||||
\(978\) | −4.90360 | + | 5.52605i | −0.156800 | + | 0.176704i | ||||
\(979\) | −1.01375 | − | 1.39530i | −0.0323995 | − | 0.0445941i | ||||
\(980\) | −4.28608 | − | 8.25980i | −0.136914 | − | 0.263850i | ||||
\(981\) | 8.77677 | − | 12.0802i | 0.280221 | − | 0.385691i | ||||
\(982\) | 6.14795 | + | 27.9267i | 0.196189 | + | 0.891176i | ||||
\(983\) | −3.05428 | − | 19.2840i | −0.0974165 | − | 0.615063i | −0.987299 | − | 0.158873i | \(-0.949214\pi\) |
0.889883 | − | 0.456190i | \(-0.150786\pi\) | |||||||
\(984\) | −11.6279 | + | 24.1031i | −0.370685 | + | 0.768380i | ||||
\(985\) | 19.7603 | − | 21.6360i | 0.629615 | − | 0.689380i | ||||
\(986\) | 5.37202 | + | 1.39776i | 0.171080 | + | 0.0445139i | ||||
\(987\) | −4.96974 | + | 2.53221i | −0.158189 | + | 0.0806011i | ||||
\(988\) | −0.493603 | − | 0.387998i | −0.0157036 | − | 0.0123438i | ||||
\(989\) | −9.76005 | − | 30.0383i | −0.310351 | − | 0.955163i | ||||
\(990\) | 0.0466344 | − | 0.892755i | 0.00148214 | − | 0.0283736i | ||||
\(991\) | −15.0537 | − | 4.89123i | −0.478196 | − | 0.155375i | 0.0599944 | − | 0.998199i | \(-0.480892\pi\) |
−0.538190 | + | 0.842824i | \(0.680892\pi\) | |||||||
\(992\) | −48.0834 | + | 23.5319i | −1.52665 | + | 0.747139i | ||||
\(993\) | −4.69025 | + | 4.69025i | −0.148841 | + | 0.148841i | ||||
\(994\) | 37.5768 | − | 14.7378i | 1.19186 | − | 0.467456i | ||||
\(995\) | 1.48116 | + | 0.976856i | 0.0469561 | + | 0.0309684i | ||||
\(996\) | −28.8550 | − | 16.1062i | −0.914306 | − | 0.510344i | ||||
\(997\) | −0.876456 | + | 5.53373i | −0.0277577 | + | 0.175255i | −0.997672 | − | 0.0681901i | \(-0.978278\pi\) |
0.969915 | + | 0.243445i | \(0.0782776\pi\) | |||||||
\(998\) | 27.4731 | + | 46.7980i | 0.869646 | + | 1.48136i | ||||
\(999\) | −1.38849 | −0.0439298 |
(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 | 600.2.bq.a.67.11 | ✓ | 480 | |
8.3 | odd | 2 | inner | 600.2.bq.a.67.32 | yes | 480 | |
25.3 | odd | 20 | inner | 600.2.bq.a.403.32 | yes | 480 | |
200.3 | even | 20 | inner | 600.2.bq.a.403.11 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
600.2.bq.a.67.11 | ✓ | 480 | 1.1 | even | 1 | trivial | |
600.2.bq.a.67.32 | yes | 480 | 8.3 | odd | 2 | inner | |
600.2.bq.a.403.11 | yes | 480 | 200.3 | even | 20 | inner | |
600.2.bq.a.403.32 | yes | 480 | 25.3 | odd | 20 | inner |