Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [161,2,Mod(2,161)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(161, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("161.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 161 = 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 161.m (of order \(33\), degree \(20\), 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: | \(1.28559147254\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 100.13 | ||
Character | \(\chi\) | \(=\) | 161.100 |
Dual form | 161.2.m.a.95.13 |
$q$-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 \(\left(\mathbb{Z}/161\mathbb{Z}\right)^\times\).
\(n\) | \(24\) | \(120\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.59143 | + | 1.25151i | 1.12531 | + | 0.884952i | 0.994320 | − | 0.106431i | \(-0.0339425\pi\) |
0.130989 | + | 0.991384i | \(0.458185\pi\) | |||||||
\(3\) | 0.924163 | − | 1.29781i | 0.533566 | − | 0.749288i | −0.456526 | − | 0.889710i | \(-0.650906\pi\) |
0.990092 | + | 0.140422i | \(0.0448459\pi\) | |||||||
\(4\) | 0.494839 | + | 2.03976i | 0.247420 | + | 1.01988i | ||||
\(5\) | −1.87893 | + | 0.362134i | −0.840283 | + | 0.161951i | −0.591194 | − | 0.806529i | \(-0.701343\pi\) |
−0.249089 | + | 0.968481i | \(0.580131\pi\) | |||||||
\(6\) | 3.09496 | − | 0.908761i | 1.26351 | − | 0.371000i | ||||
\(7\) | 2.37547 | − | 1.16496i | 0.897844 | − | 0.440313i | ||||
\(8\) | −0.0831964 | + | 0.182175i | −0.0294144 | + | 0.0644084i | ||||
\(9\) | 0.150982 | + | 0.436235i | 0.0503274 | + | 0.145412i | ||||
\(10\) | −3.44340 | − | 1.77519i | −1.08890 | − | 0.561366i | ||||
\(11\) | −4.40736 | + | 3.46599i | −1.32887 | + | 1.04504i | −0.334139 | + | 0.942524i | \(0.608445\pi\) |
−0.994732 | + | 0.102511i | \(0.967312\pi\) | |||||||
\(12\) | 3.10452 | + | 1.24286i | 0.896197 | + | 0.358783i | ||||
\(13\) | −2.49215 | + | 1.60161i | −0.691198 | + | 0.444206i | −0.838512 | − | 0.544884i | \(-0.816574\pi\) |
0.147313 | + | 0.989090i | \(0.452937\pi\) | |||||||
\(14\) | 5.23835 | + | 1.11899i | 1.40001 | + | 0.299062i | ||||
\(15\) | −1.26646 | + | 2.77316i | −0.326998 | + | 0.716026i | ||||
\(16\) | 3.37080 | − | 1.73777i | 0.842699 | − | 0.434441i | ||||
\(17\) | −4.95695 | − | 4.72645i | −1.20224 | − | 1.14633i | −0.985424 | − | 0.170118i | \(-0.945585\pi\) |
−0.216814 | − | 0.976213i | \(-0.569567\pi\) | |||||||
\(18\) | −0.305676 | + | 0.883192i | −0.0720485 | + | 0.208170i | ||||
\(19\) | 2.93332 | − | 2.79692i | 0.672950 | − | 0.641657i | −0.274490 | − | 0.961590i | \(-0.588509\pi\) |
0.947440 | + | 0.319933i | \(0.103660\pi\) | |||||||
\(20\) | −1.66843 | − | 3.65336i | −0.373073 | − | 0.816916i | ||||
\(21\) | 0.683435 | − | 4.15951i | 0.149138 | − | 0.907680i | ||||
\(22\) | −11.3517 | −2.42020 | ||||||||
\(23\) | −4.56180 | + | 1.47987i | −0.951200 | + | 0.308574i | ||||
\(24\) | 0.159540 | + | 0.276332i | 0.0325660 | + | 0.0564060i | ||||
\(25\) | −1.24260 | + | 0.497462i | −0.248520 | + | 0.0994924i | ||||
\(26\) | −5.97051 | − | 0.570114i | −1.17091 | − | 0.111809i | ||||
\(27\) | 5.29175 | + | 1.55380i | 1.01840 | + | 0.299029i | ||||
\(28\) | 3.55171 | + | 4.26892i | 0.671210 | + | 0.806749i | ||||
\(29\) | 6.07219 | − | 1.78296i | 1.12758 | − | 0.331087i | 0.335822 | − | 0.941925i | \(-0.390986\pi\) |
0.791755 | + | 0.610839i | \(0.209168\pi\) | |||||||
\(30\) | −5.48612 | + | 2.82829i | −1.00162 | + | 0.516373i | ||||
\(31\) | −0.110593 | + | 0.0105604i | −0.0198632 | + | 0.00189670i | −0.104983 | − | 0.994474i | \(-0.533479\pi\) |
0.0851197 | + | 0.996371i | \(0.472873\pi\) | |||||||
\(32\) | 7.93252 | + | 1.52887i | 1.40228 | + | 0.270268i | ||||
\(33\) | 0.425057 | + | 8.92304i | 0.0739929 | + | 1.55330i | ||||
\(34\) | −1.97343 | − | 13.7255i | −0.338440 | − | 2.35390i | ||||
\(35\) | −4.04148 | + | 3.04912i | −0.683134 | + | 0.515395i | ||||
\(36\) | −0.815100 | + | 0.523833i | −0.135850 | + | 0.0873055i | ||||
\(37\) | 0.464468 | + | 1.34199i | 0.0763581 | + | 0.220622i | 0.976719 | − | 0.214521i | \(-0.0688190\pi\) |
−0.900361 | + | 0.435143i | \(0.856698\pi\) | |||||||
\(38\) | 8.16854 | − | 0.780001i | 1.32511 | − | 0.126533i | ||||
\(39\) | −0.224578 | + | 4.71447i | −0.0359613 | + | 0.754920i | ||||
\(40\) | 0.0903485 | − | 0.372422i | 0.0142854 | − | 0.0588850i | ||||
\(41\) | −0.915016 | − | 1.05598i | −0.142901 | − | 0.164917i | 0.679787 | − | 0.733410i | \(-0.262072\pi\) |
−0.822688 | + | 0.568493i | \(0.807527\pi\) | |||||||
\(42\) | 6.29332 | − | 5.76423i | 0.971080 | − | 0.889440i | ||||
\(43\) | 3.80331 | + | 8.32808i | 0.579999 | + | 1.27002i | 0.941300 | + | 0.337571i | \(0.109605\pi\) |
−0.361301 | + | 0.932449i | \(0.617667\pi\) | |||||||
\(44\) | −9.25071 | − | 7.27484i | −1.39460 | − | 1.09672i | ||||
\(45\) | −0.441661 | − | 0.764979i | −0.0658389 | − | 0.114036i | ||||
\(46\) | −9.11184 | − | 3.35404i | −1.34347 | − | 0.494526i | ||||
\(47\) | 0.0620795 | − | 0.107525i | 0.00905523 | − | 0.0156841i | −0.861462 | − | 0.507822i | \(-0.830451\pi\) |
0.870518 | + | 0.492137i | \(0.163784\pi\) | |||||||
\(48\) | 0.859883 | − | 5.98062i | 0.124113 | − | 0.863228i | ||||
\(49\) | 4.28574 | − | 5.53465i | 0.612249 | − | 0.790665i | ||||
\(50\) | −2.60009 | − | 0.763454i | −0.367708 | − | 0.107969i | ||||
\(51\) | −10.7150 | + | 2.06515i | −1.50041 | + | 0.289179i | ||||
\(52\) | −4.50010 | − | 4.29084i | −0.624052 | − | 0.595032i | ||||
\(53\) | 0.316381 | − | 6.64165i | 0.0434583 | − | 0.912301i | −0.866900 | − | 0.498481i | \(-0.833891\pi\) |
0.910359 | − | 0.413820i | \(-0.135806\pi\) | |||||||
\(54\) | 6.47684 | + | 9.09545i | 0.881386 | + | 1.23773i | ||||
\(55\) | 7.02598 | − | 8.10841i | 0.947383 | − | 1.09334i | ||||
\(56\) | 0.0145951 | + | 0.529671i | 0.00195035 | + | 0.0707803i | ||||
\(57\) | −0.918986 | − | 6.39169i | −0.121723 | − | 0.846600i | ||||
\(58\) | 11.8948 | + | 4.76197i | 1.56187 | + | 0.625278i | ||||
\(59\) | 0.641051 | + | 0.330485i | 0.0834578 | + | 0.0430255i | 0.499450 | − | 0.866343i | \(-0.333535\pi\) |
−0.415992 | + | 0.909368i | \(0.636566\pi\) | |||||||
\(60\) | −6.28326 | − | 1.21100i | −0.811165 | − | 0.156339i | ||||
\(61\) | 4.51012 | + | 6.33358i | 0.577462 | + | 0.810932i | 0.995223 | − | 0.0976251i | \(-0.0311246\pi\) |
−0.417761 | + | 0.908557i | \(0.637185\pi\) | |||||||
\(62\) | −0.189218 | − | 0.121603i | −0.0240307 | − | 0.0154436i | ||||
\(63\) | 0.866850 | + | 0.860376i | 0.109213 | + | 0.108397i | ||||
\(64\) | 5.74367 | + | 6.62855i | 0.717959 | + | 0.828569i | ||||
\(65\) | 4.10258 | − | 3.91180i | 0.508862 | − | 0.485199i | ||||
\(66\) | −10.4908 | + | 14.7323i | −1.29133 | + | 1.81342i | ||||
\(67\) | 1.84799 | − | 0.739825i | 0.225768 | − | 0.0903840i | −0.256021 | − | 0.966671i | \(-0.582411\pi\) |
0.481789 | + | 0.876287i | \(0.339987\pi\) | |||||||
\(68\) | 7.18790 | − | 12.4498i | 0.871661 | − | 1.50976i | ||||
\(69\) | −2.29526 | + | 7.28797i | −0.276317 | + | 0.877368i | ||||
\(70\) | −10.2477 | − | 0.205513i | −1.22484 | − | 0.0245635i | ||||
\(71\) | 1.07091 | − | 7.44837i | 0.127094 | − | 0.883959i | −0.822117 | − | 0.569319i | \(-0.807207\pi\) |
0.949211 | − | 0.314640i | \(-0.101884\pi\) | |||||||
\(72\) | −0.0920321 | − | 0.00878800i | −0.0108461 | − | 0.00103568i | ||||
\(73\) | 1.87382 | + | 7.72399i | 0.219314 | + | 0.904025i | 0.969949 | + | 0.243308i | \(0.0782326\pi\) |
−0.750635 | + | 0.660717i | \(0.770252\pi\) | |||||||
\(74\) | −0.940353 | + | 2.71697i | −0.109314 | + | 0.315841i | ||||
\(75\) | −0.502756 | + | 2.07239i | −0.0580533 | + | 0.239299i | ||||
\(76\) | 7.15655 | + | 4.59924i | 0.820913 | + | 0.527568i | ||||
\(77\) | −6.43184 | + | 13.3678i | −0.732977 | + | 1.52340i | ||||
\(78\) | −6.25762 | + | 7.22168i | −0.708536 | + | 0.817694i | ||||
\(79\) | −0.517206 | − | 10.8575i | −0.0581902 | − | 1.22156i | −0.819463 | − | 0.573132i | \(-0.805728\pi\) |
0.761273 | − | 0.648431i | \(-0.224575\pi\) | |||||||
\(80\) | −5.70419 | + | 4.48582i | −0.637748 | + | 0.501530i | ||||
\(81\) | 5.81839 | − | 4.57563i | 0.646488 | − | 0.508404i | ||||
\(82\) | −0.134603 | − | 2.82567i | −0.0148645 | − | 0.312044i | ||||
\(83\) | −10.3922 | + | 11.9932i | −1.14069 | + | 1.31642i | −0.198976 | + | 0.980004i | \(0.563762\pi\) |
−0.941712 | + | 0.336420i | \(0.890784\pi\) | |||||||
\(84\) | 8.82258 | − | 0.664250i | 0.962622 | − | 0.0724756i | ||||
\(85\) | 11.0254 | + | 7.08558i | 1.19587 | + | 0.768539i | ||||
\(86\) | −4.37001 | + | 18.0134i | −0.471230 | + | 1.94244i | ||||
\(87\) | 3.29776 | − | 9.52826i | 0.353557 | − | 1.02154i | ||||
\(88\) | −0.264739 | − | 1.09127i | −0.0282212 | − | 0.116330i | ||||
\(89\) | 3.18290 | + | 0.303930i | 0.337387 | + | 0.0322165i | 0.262375 | − | 0.964966i | \(-0.415494\pi\) |
0.0750121 | + | 0.997183i | \(0.476100\pi\) | |||||||
\(90\) | 0.254509 | − | 1.77015i | 0.0268277 | − | 0.186590i | ||||
\(91\) | −4.05423 | + | 6.70783i | −0.424999 | + | 0.703171i | ||||
\(92\) | −5.27593 | − | 8.57265i | −0.550054 | − | 0.893761i | ||||
\(93\) | −0.0885011 | + | 0.153288i | −0.00917713 | + | 0.0158953i | ||||
\(94\) | 0.233364 | − | 0.0934247i | 0.0240696 | − | 0.00963602i | ||||
\(95\) | −4.49865 | + | 6.31747i | −0.461552 | + | 0.648159i | ||||
\(96\) | 9.31511 | − | 8.88194i | 0.950719 | − | 0.906509i | ||||
\(97\) | −4.16898 | − | 4.81126i | −0.423296 | − | 0.488510i | 0.503542 | − | 0.863971i | \(-0.332030\pi\) |
−0.926838 | + | 0.375461i | \(0.877484\pi\) | |||||||
\(98\) | 13.7471 | − | 3.44434i | 1.38867 | − | 0.347931i | ||||
\(99\) | −2.17742 | − | 1.39934i | −0.218839 | − | 0.140639i | ||||
\(100\) | −1.62959 | − | 2.28844i | −0.162959 | − | 0.228844i | ||||
\(101\) | 7.67488 | + | 1.47921i | 0.763680 | + | 0.147187i | 0.556196 | − | 0.831051i | \(-0.312260\pi\) |
0.207484 | + | 0.978238i | \(0.433473\pi\) | |||||||
\(102\) | −19.6368 | − | 10.1235i | −1.94433 | − | 1.00237i | ||||
\(103\) | −14.1411 | − | 5.66125i | −1.39337 | − | 0.557820i | −0.451037 | − | 0.892505i | \(-0.648946\pi\) |
−0.942330 | + | 0.334686i | \(0.891370\pi\) | |||||||
\(104\) | −0.0844344 | − | 0.587254i | −0.00827948 | − | 0.0575850i | ||||
\(105\) | 0.222175 | + | 8.06293i | 0.0216820 | + | 0.786862i | ||||
\(106\) | 8.81560 | − | 10.1738i | 0.856247 | − | 0.988162i | ||||
\(107\) | 2.30662 | + | 3.23919i | 0.222989 | + | 0.313145i | 0.910881 | − | 0.412668i | \(-0.135403\pi\) |
−0.687892 | + | 0.725813i | \(0.741464\pi\) | |||||||
\(108\) | −0.550802 | + | 11.5628i | −0.0530010 | + | 1.11263i | ||||
\(109\) | 0.582089 | + | 0.555021i | 0.0557540 | + | 0.0531613i | 0.717444 | − | 0.696616i | \(-0.245312\pi\) |
−0.661690 | + | 0.749778i | \(0.730160\pi\) | |||||||
\(110\) | 21.3291 | − | 4.11085i | 2.03365 | − | 0.391954i | ||||
\(111\) | 2.17089 | + | 0.637431i | 0.206052 | + | 0.0605022i | ||||
\(112\) | 5.98281 | − | 8.05485i | 0.565322 | − | 0.761112i | ||||
\(113\) | 0.0511537 | − | 0.355782i | 0.00481213 | − | 0.0334691i | −0.987274 | − | 0.159029i | \(-0.949164\pi\) |
0.992086 | + | 0.125560i | \(0.0400727\pi\) | |||||||
\(114\) | 6.53677 | − | 11.3220i | 0.612225 | − | 1.06040i | ||||
\(115\) | 8.03539 | − | 4.43256i | 0.749304 | − | 0.413338i | ||||
\(116\) | 6.64155 | + | 11.5035i | 0.616653 | + | 1.06807i | ||||
\(117\) | −1.07495 | − | 0.845348i | −0.0993790 | − | 0.0781525i | ||||
\(118\) | 0.606580 | + | 1.32823i | 0.0558402 | + | 0.122273i | ||||
\(119\) | −17.2812 | − | 5.45290i | −1.58417 | − | 0.499866i | ||||
\(120\) | −0.399834 | − | 0.461433i | −0.0364997 | − | 0.0421229i | ||||
\(121\) | 4.81843 | − | 19.8618i | 0.438039 | − | 1.80562i | ||||
\(122\) | −0.749022 | + | 15.7239i | −0.0678132 | + | 1.42357i | ||||
\(123\) | −2.21609 | + | 0.211611i | −0.199818 | + | 0.0190803i | ||||
\(124\) | −0.0762666 | − | 0.220358i | −0.00684895 | − | 0.0197887i | ||||
\(125\) | 10.2033 | − | 6.55729i | 0.912615 | − | 0.586502i | ||||
\(126\) | 0.302757 | + | 2.45410i | 0.0269718 | + | 0.218628i | ||||
\(127\) | 0.205728 | + | 1.43087i | 0.0182554 | + | 0.126969i | 0.996911 | − | 0.0785372i | \(-0.0250249\pi\) |
−0.978656 | + | 0.205506i | \(0.934116\pi\) | |||||||
\(128\) | 0.0761417 | + | 1.59841i | 0.00673004 | + | 0.141281i | ||||
\(129\) | 14.3231 | + | 2.76055i | 1.26108 | + | 0.243053i | ||||
\(130\) | 11.4246 | − | 1.09092i | 1.00201 | − | 0.0956800i | ||||
\(131\) | −7.20388 | + | 3.71386i | −0.629406 | + | 0.324481i | −0.743246 | − | 0.669018i | \(-0.766715\pi\) |
0.113840 | + | 0.993499i | \(0.463685\pi\) | |||||||
\(132\) | −17.9905 | + | 5.28248i | −1.56587 | + | 0.459781i | ||||
\(133\) | 3.70974 | − | 10.0612i | 0.321675 | − | 0.872417i | ||||
\(134\) | 3.86684 | + | 1.13541i | 0.334044 | + | 0.0980843i | ||||
\(135\) | −10.5055 | − | 1.00316i | −0.904171 | − | 0.0863379i | ||||
\(136\) | 1.27344 | − | 0.509808i | 0.109196 | − | 0.0437157i | ||||
\(137\) | 6.45222 | + | 11.1756i | 0.551250 | + | 0.954793i | 0.998185 | + | 0.0602264i | \(0.0191823\pi\) |
−0.446935 | + | 0.894567i | \(0.647484\pi\) | |||||||
\(138\) | −12.7737 | + | 8.72572i | −1.08737 | + | 0.742783i | ||||
\(139\) | 3.06125 | 0.259652 | 0.129826 | − | 0.991537i | \(-0.458558\pi\) | ||||
0.129826 | + | 0.991537i | \(0.458558\pi\) | |||||||
\(140\) | −8.21933 | − | 6.73480i | −0.694660 | − | 0.569195i | ||||
\(141\) | −0.0821748 | − | 0.179938i | −0.00692036 | − | 0.0151535i | ||||
\(142\) | 11.0260 | − | 10.5133i | 0.925282 | − | 0.882255i | ||||
\(143\) | 5.43266 | − | 15.6966i | 0.454302 | − | 1.31262i | ||||
\(144\) | 1.26700 | + | 1.20809i | 0.105584 | + | 0.100674i | ||||
\(145\) | −10.7636 | + | 5.54900i | −0.893864 | + | 0.460819i | ||||
\(146\) | −6.68462 | + | 14.6373i | −0.553223 | + | 1.21139i | ||||
\(147\) | −3.22218 | − | 10.6770i | −0.265761 | − | 0.880623i | ||||
\(148\) | −2.50750 | + | 1.61147i | −0.206115 | + | 0.132462i | ||||
\(149\) | 14.3267 | + | 5.73555i | 1.17369 | + | 0.469875i | 0.874834 | − | 0.484423i | \(-0.160971\pi\) |
0.298856 | + | 0.954298i | \(0.403395\pi\) | |||||||
\(150\) | −3.39372 | + | 2.66885i | −0.277096 | + | 0.217911i | ||||
\(151\) | −9.05411 | − | 4.66772i | −0.736813 | − | 0.379853i | 0.0486061 | − | 0.998818i | \(-0.484522\pi\) |
−0.785419 | + | 0.618965i | \(0.787552\pi\) | |||||||
\(152\) | 0.265486 | + | 0.767070i | 0.0215337 | + | 0.0622176i | ||||
\(153\) | 1.31343 | − | 2.87601i | 0.106184 | − | 0.232511i | ||||
\(154\) | −26.9657 | + | 13.2243i | −2.17296 | + | 1.06564i | ||||
\(155\) | 0.203973 | − | 0.0598919i | 0.0163835 | − | 0.00481064i | ||||
\(156\) | −9.72750 | + | 1.87482i | −0.778823 | + | 0.150106i | ||||
\(157\) | −1.35811 | − | 5.59820i | −0.108389 | − | 0.446785i | 0.891593 | − | 0.452838i | \(-0.149588\pi\) |
−0.999982 | + | 0.00605289i | \(0.998073\pi\) | |||||||
\(158\) | 12.7652 | − | 17.9262i | 1.01554 | − | 1.42613i | ||||
\(159\) | −8.32719 | − | 6.54857i | −0.660389 | − | 0.519336i | ||||
\(160\) | −15.4583 | −1.22209 | ||||||||
\(161\) | −9.11244 | + | 8.82970i | −0.718161 | + | 0.695877i | ||||
\(162\) | 14.9860 | 1.17741 | ||||||||
\(163\) | −12.8296 | − | 10.0893i | −1.00489 | − | 0.790256i | −0.0270571 | − | 0.999634i | \(-0.508614\pi\) |
−0.977835 | + | 0.209378i | \(0.932856\pi\) | |||||||
\(164\) | 1.70116 | − | 2.38895i | 0.132839 | − | 0.186546i | ||||
\(165\) | −4.02999 | − | 16.6118i | −0.313734 | − | 1.29323i | ||||
\(166\) | −31.5480 | + | 6.08038i | −2.44860 | + | 0.471929i | ||||
\(167\) | −15.4994 | + | 4.55103i | −1.19938 | + | 0.352169i | −0.819615 | − | 0.572914i | \(-0.805813\pi\) |
−0.379763 | + | 0.925084i | \(0.623995\pi\) | |||||||
\(168\) | 0.700898 | + | 0.470561i | 0.0540755 | + | 0.0363046i | ||||
\(169\) | −1.75473 | + | 3.84232i | −0.134979 | + | 0.295563i | ||||
\(170\) | 8.67839 | + | 25.0746i | 0.665602 | + | 1.92313i | ||||
\(171\) | 1.66299 | + | 0.857332i | 0.127172 | + | 0.0655618i | ||||
\(172\) | −15.1052 | + | 11.8789i | −1.15176 | + | 0.905756i | ||||
\(173\) | −11.9326 | − | 4.77709i | −0.907218 | − | 0.363195i | −0.129332 | − | 0.991601i | \(-0.541283\pi\) |
−0.777885 | + | 0.628406i | \(0.783708\pi\) | |||||||
\(174\) | 17.1729 | − | 11.0363i | 1.30187 | − | 0.836663i | ||||
\(175\) | −2.37224 | + | 2.62929i | −0.179325 | + | 0.198755i | ||||
\(176\) | −8.83325 | + | 19.3421i | −0.665831 | + | 1.45797i | ||||
\(177\) | 1.02134 | − | 0.526538i | 0.0767687 | − | 0.0395770i | ||||
\(178\) | 4.68498 | + | 4.46712i | 0.351154 | + | 0.334825i | ||||
\(179\) | −2.01106 | + | 5.81057i | −0.150314 | + | 0.434302i | −0.994870 | − | 0.101165i | \(-0.967743\pi\) |
0.844556 | + | 0.535467i | \(0.179864\pi\) | |||||||
\(180\) | 1.34182 | − | 1.27942i | 0.100013 | − | 0.0953625i | ||||
\(181\) | −5.66611 | − | 12.4071i | −0.421159 | − | 0.922209i | −0.994679 | − | 0.103018i | \(-0.967150\pi\) |
0.573521 | − | 0.819191i | \(-0.305577\pi\) | |||||||
\(182\) | −14.8469 | + | 5.60110i | −1.10053 | + | 0.415181i | ||||
\(183\) | 12.3878 | 0.915736 | ||||||||
\(184\) | 0.109930 | − | 0.954163i | 0.00810414 | − | 0.0703418i | ||||
\(185\) | −1.35868 | − | 2.35331i | −0.0998925 | − | 0.173019i | ||||
\(186\) | −0.332685 | + | 0.133187i | −0.0243937 | + | 0.00976575i | ||||
\(187\) | 38.2289 | + | 3.65042i | 2.79557 | + | 0.266945i | ||||
\(188\) | 0.250044 | + | 0.0734195i | 0.0182363 | + | 0.00535467i | ||||
\(189\) | 14.3805 | − | 2.47366i | 1.04603 | − | 0.179933i | ||||
\(190\) | −15.0657 | + | 4.42368i | −1.09298 | + | 0.320927i | ||||
\(191\) | 15.8121 | − | 8.15168i | 1.14412 | − | 0.589835i | 0.221353 | − | 0.975194i | \(-0.428953\pi\) |
0.922767 | + | 0.385359i | \(0.125922\pi\) | |||||||
\(192\) | 13.9107 | − | 1.32831i | 1.00392 | − | 0.0958623i | ||||
\(193\) | 8.25625 | + | 1.59126i | 0.594298 | + | 0.114541i | 0.477526 | − | 0.878617i | \(-0.341533\pi\) |
0.116771 | + | 0.993159i | \(0.462746\pi\) | |||||||
\(194\) | −0.613279 | − | 12.8743i | −0.0440308 | − | 0.924321i | ||||
\(195\) | −1.28531 | − | 8.93949i | −0.0920426 | − | 0.640171i | ||||
\(196\) | 13.4101 | + | 6.00311i | 0.957864 | + | 0.428793i | ||||
\(197\) | 1.12908 | − | 0.725619i | 0.0804440 | − | 0.0516982i | −0.499801 | − | 0.866141i | \(-0.666593\pi\) |
0.580245 | + | 0.814442i | \(0.302957\pi\) | |||||||
\(198\) | −1.71391 | − | 4.95202i | −0.121802 | − | 0.351925i | ||||
\(199\) | −3.94835 | + | 0.377022i | −0.279891 | + | 0.0267264i | −0.234058 | − | 0.972223i | \(-0.575200\pi\) |
−0.0458335 | + | 0.998949i | \(0.514594\pi\) | |||||||
\(200\) | 0.0127548 | − | 0.267757i | 0.000901904 | − | 0.0189333i | ||||
\(201\) | 0.747698 | − | 3.08205i | 0.0527385 | − | 0.217391i | ||||
\(202\) | 10.3628 | + | 11.9593i | 0.729121 | + | 0.841451i | ||||
\(203\) | 12.3473 | − | 11.3092i | 0.866607 | − | 0.793751i | ||||
\(204\) | −9.51463 | − | 20.8341i | −0.666158 | − | 1.45868i | ||||
\(205\) | 2.10166 | + | 1.65276i | 0.146786 | + | 0.115434i | ||||
\(206\) | −15.4194 | − | 26.7073i | −1.07432 | − | 1.86078i | ||||
\(207\) | −1.33432 | − | 1.76658i | −0.0927418 | − | 0.122786i | ||||
\(208\) | −5.61731 | + | 9.72947i | −0.389490 | + | 0.674617i | ||||
\(209\) | −3.23413 | + | 22.4939i | −0.223710 | + | 1.55594i | ||||
\(210\) | −9.73728 | + | 13.1096i | −0.671936 | + | 0.904650i | ||||
\(211\) | −13.9830 | − | 4.10577i | −0.962626 | − | 0.282653i | −0.237592 | − | 0.971365i | \(-0.576358\pi\) |
−0.725034 | + | 0.688713i | \(0.758176\pi\) | |||||||
\(212\) | 13.7039 | − | 2.64121i | 0.941188 | − | 0.181399i | ||||
\(213\) | −8.67684 | − | 8.27335i | −0.594527 | − | 0.566881i | ||||
\(214\) | −0.383073 | + | 8.04170i | −0.0261864 | + | 0.549719i | ||||
\(215\) | −10.1620 | − | 14.2706i | −0.693045 | − | 0.973245i | ||||
\(216\) | −0.723317 | + | 0.834753i | −0.0492155 | + | 0.0567977i | ||||
\(217\) | −0.250409 | + | 0.153923i | −0.0169989 | + | 0.0104490i | ||||
\(218\) | 0.231737 | + | 1.61177i | 0.0156952 | + | 0.109163i | ||||
\(219\) | 11.7560 | + | 4.70638i | 0.794394 | + | 0.318027i | ||||
\(220\) | 20.0159 | + | 10.3189i | 1.34947 | + | 0.695701i | ||||
\(221\) | 19.9234 | + | 3.83992i | 1.34019 | + | 0.258301i | ||||
\(222\) | 2.65706 | + | 3.73132i | 0.178330 | + | 0.250430i | ||||
\(223\) | 7.36020 | + | 4.73011i | 0.492876 | + | 0.316752i | 0.763361 | − | 0.645972i | \(-0.223548\pi\) |
−0.270485 | + | 0.962724i | \(0.587184\pi\) | |||||||
\(224\) | 20.6245 | − | 5.60927i | 1.37804 | − | 0.374785i | ||||
\(225\) | −0.404621 | − | 0.466958i | −0.0269747 | − | 0.0311305i | ||||
\(226\) | 0.526672 | − | 0.502181i | 0.0350337 | − | 0.0334046i | ||||
\(227\) | −13.4766 | + | 18.9252i | −0.894471 | + | 1.25611i | 0.0714955 | + | 0.997441i | \(0.477223\pi\) |
−0.965966 | + | 0.258668i | \(0.916717\pi\) | |||||||
\(228\) | 12.5827 | − | 5.03737i | 0.833312 | − | 0.333608i | ||||
\(229\) | 6.69912 | − | 11.6032i | 0.442690 | − | 0.766762i | −0.555198 | − | 0.831718i | \(-0.687358\pi\) |
0.997888 | + | 0.0649565i | \(0.0206909\pi\) | |||||||
\(230\) | 18.3351 | + | 3.00229i | 1.20898 | + | 0.197965i | ||||
\(231\) | 11.4047 | + | 20.7013i | 0.750373 | + | 1.36204i | ||||
\(232\) | −0.180375 | + | 1.25453i | −0.0118422 | + | 0.0823642i | ||||
\(233\) | −24.8503 | − | 2.37291i | −1.62800 | − | 0.155455i | −0.759280 | − | 0.650764i | \(-0.774449\pi\) |
−0.868716 | + | 0.495310i | \(0.835055\pi\) | |||||||
\(234\) | −0.652737 | − | 2.69062i | −0.0426708 | − | 0.175891i | ||||
\(235\) | −0.0777047 | + | 0.224513i | −0.00506889 | + | 0.0146456i | ||||
\(236\) | −0.356891 | + | 1.47112i | −0.0232316 | + | 0.0957621i | ||||
\(237\) | −14.5689 | − | 9.36286i | −0.946351 | − | 0.608183i | ||||
\(238\) | −20.6774 | − | 30.3055i | −1.34032 | − | 1.96442i | ||||
\(239\) | 7.31124 | − | 8.43762i | 0.472924 | − | 0.545784i | −0.468298 | − | 0.883570i | \(-0.655133\pi\) |
0.941223 | + | 0.337786i | \(0.109678\pi\) | |||||||
\(240\) | 0.550126 | + | 11.5486i | 0.0355105 | + | 0.745456i | ||||
\(241\) | −6.08724 | + | 4.78706i | −0.392113 | + | 0.308361i | −0.794679 | − | 0.607030i | \(-0.792361\pi\) |
0.402566 | + | 0.915391i | \(0.368118\pi\) | |||||||
\(242\) | 32.5255 | − | 25.5783i | 2.09082 | − | 1.64424i | ||||
\(243\) | 0.226126 | + | 4.74696i | 0.0145060 | + | 0.304518i | ||||
\(244\) | −10.6872 | + | 12.3336i | −0.684176 | + | 0.789581i | ||||
\(245\) | −6.04833 | + | 11.9512i | −0.386414 | + | 0.763537i | ||||
\(246\) | −3.79157 | − | 2.43669i | −0.241742 | − | 0.155358i | ||||
\(247\) | −2.83072 | + | 11.6684i | −0.180114 | + | 0.742441i | ||||
\(248\) | 0.00727714 | − | 0.0210259i | 0.000462099 | − | 0.00133515i | ||||
\(249\) | 5.96078 | + | 24.5707i | 0.377749 | + | 1.55710i | ||||
\(250\) | 24.4444 | + | 2.33416i | 1.54600 | + | 0.147625i | ||||
\(251\) | −3.25223 | + | 22.6197i | −0.205279 | + | 1.42775i | 0.583022 | + | 0.812456i | \(0.301870\pi\) |
−0.788301 | + | 0.615290i | \(0.789039\pi\) | |||||||
\(252\) | −1.32601 | + | 2.19391i | −0.0835305 | + | 0.138203i | ||||
\(253\) | 14.9763 | − | 22.3335i | 0.941551 | − | 1.40409i | ||||
\(254\) | −1.46335 | + | 2.53460i | −0.0918188 | + | 0.159035i | ||||
\(255\) | 19.3850 | − | 7.76056i | 1.21393 | − | 0.485985i | ||||
\(256\) | 8.29590 | − | 11.6500i | 0.518494 | − | 0.728123i | ||||
\(257\) | −7.55710 | + | 7.20568i | −0.471399 | + | 0.449478i | −0.888157 | − | 0.459539i | \(-0.848015\pi\) |
0.416759 | + | 0.909017i | \(0.363166\pi\) | |||||||
\(258\) | 19.3393 | + | 22.3187i | 1.20401 | + | 1.38950i | ||||
\(259\) | 2.66670 | + | 2.64678i | 0.165700 | + | 0.164463i | ||||
\(260\) | 10.0092 | + | 6.43255i | 0.620747 | + | 0.398930i | ||||
\(261\) | 1.69458 | + | 2.37971i | 0.104892 | + | 0.147300i | ||||
\(262\) | −16.1124 | − | 3.10541i | −0.995427 | − | 0.191853i | ||||
\(263\) | 7.36688 | + | 3.79789i | 0.454261 | + | 0.234188i | 0.670144 | − | 0.742231i | \(-0.266232\pi\) |
−0.215882 | + | 0.976419i | \(0.569263\pi\) | |||||||
\(264\) | −1.66091 | − | 0.664930i | −0.102222 | − | 0.0409236i | ||||
\(265\) | 1.81071 | + | 12.5938i | 0.111231 | + | 0.773630i | ||||
\(266\) | 18.4955 | − | 11.3689i | 1.13403 | − | 0.697071i | ||||
\(267\) | 3.33596 | − | 3.84990i | 0.204157 | − | 0.235610i | ||||
\(268\) | 2.42352 | + | 3.40336i | 0.148040 | + | 0.207893i | ||||
\(269\) | −0.112529 | + | 2.36228i | −0.00686104 | + | 0.144031i | 0.992837 | + | 0.119474i | \(0.0381207\pi\) |
−0.999698 | + | 0.0245573i | \(0.992182\pi\) | |||||||
\(270\) | −15.4633 | − | 14.7442i | −0.941067 | − | 0.897306i | ||||
\(271\) | −20.9781 | + | 4.04320i | −1.27433 | + | 0.245607i | −0.781163 | − | 0.624327i | \(-0.785373\pi\) |
−0.493168 | + | 0.869934i | \(0.664161\pi\) | |||||||
\(272\) | −24.9223 | − | 7.31786i | −1.51114 | − | 0.443710i | ||||
\(273\) | 4.95869 | + | 11.4607i | 0.300113 | + | 0.693635i | ||||
\(274\) | −3.71812 | + | 25.8601i | −0.224620 | + | 1.56227i | ||||
\(275\) | 3.75239 | − | 6.49934i | 0.226278 | − | 0.391925i | ||||
\(276\) | −16.0015 | − | 1.07539i | −0.963174 | − | 0.0647311i | ||||
\(277\) | −10.3753 | − | 17.9705i | −0.623391 | − | 1.07974i | −0.988850 | − | 0.148917i | \(-0.952421\pi\) |
0.365459 | − | 0.930828i | \(-0.380912\pi\) | |||||||
\(278\) | 4.87175 | + | 3.83119i | 0.292188 | + | 0.229779i | ||||
\(279\) | −0.0213045 | − | 0.0466503i | −0.00127547 | − | 0.00279288i | ||||
\(280\) | −0.219235 | − | 0.989930i | −0.0131018 | − | 0.0591596i | ||||
\(281\) | −10.2629 | − | 11.8441i | −0.612235 | − | 0.706557i | 0.361978 | − | 0.932187i | \(-0.382102\pi\) |
−0.974213 | + | 0.225630i | \(0.927556\pi\) | |||||||
\(282\) | 0.0944190 | − | 0.389200i | 0.00562257 | − | 0.0231765i | ||||
\(283\) | −0.208126 | + | 4.36910i | −0.0123718 | + | 0.259716i | 0.984204 | + | 0.177036i | \(0.0566509\pi\) |
−0.996576 | + | 0.0826799i | \(0.973652\pi\) | |||||||
\(284\) | 15.7228 | − | 1.50134i | 0.932976 | − | 0.0890884i | ||||
\(285\) | 4.04136 | + | 11.6767i | 0.239390 | + | 0.691671i | ||||
\(286\) | 28.2902 | − | 18.1810i | 1.67283 | − | 1.07507i | ||||
\(287\) | −3.40377 | − | 1.44251i | −0.200918 | − | 0.0851485i | ||||
\(288\) | 0.530725 | + | 3.69127i | 0.0312733 | + | 0.217510i | ||||
\(289\) | 1.42321 | + | 29.8768i | 0.0837180 | + | 1.75746i | ||||
\(290\) | −24.0740 | − | 4.63989i | −1.41368 | − | 0.272464i | ||||
\(291\) | −10.0969 | + | 0.964137i | −0.591891 | + | 0.0565187i | ||||
\(292\) | −14.8278 | + | 7.64427i | −0.867733 | + | 0.447347i | ||||
\(293\) | 30.4044 | − | 8.92753i | 1.77624 | − | 0.521552i | 0.781495 | − | 0.623911i | \(-0.214457\pi\) |
0.994747 | + | 0.102359i | \(0.0326392\pi\) | |||||||
\(294\) | 8.23451 | − | 21.0242i | 0.480247 | − | 1.22616i | ||||
\(295\) | −1.32417 | − | 0.388812i | −0.0770962 | − | 0.0226375i | ||||
\(296\) | −0.283119 | − | 0.0270346i | −0.0164560 | − | 0.00157135i | ||||
\(297\) | −28.7081 | + | 11.4930i | −1.66582 | + | 0.666892i | ||||
\(298\) | 15.6218 | + | 27.0578i | 0.904947 | + | 1.56741i | ||||
\(299\) | 8.99851 | − | 10.9943i | 0.520397 | − | 0.635815i | ||||
\(300\) | −4.47595 | −0.258419 | ||||||||
\(301\) | 18.7365 | + | 15.3524i | 1.07995 | + | 0.884900i | ||||
\(302\) | −8.56725 | − | 18.7597i | −0.492990 | − | 1.07950i | ||||
\(303\) | 9.01257 | − | 8.59347i | 0.517759 | − | 0.493682i | ||||
\(304\) | 5.02724 | − | 14.5253i | 0.288332 | − | 0.833081i | ||||
\(305\) | −10.7678 | − | 10.2671i | −0.616563 | − | 0.587892i | ||||
\(306\) | 5.68958 | − | 2.93318i | 0.325252 | − | 0.167679i | ||||
\(307\) | −6.56192 | + | 14.3686i | −0.374509 | + | 0.820060i | 0.624722 | + | 0.780847i | \(0.285212\pi\) |
−0.999231 | + | 0.0392127i | \(0.987515\pi\) | |||||||
\(308\) | −30.4497 | − | 6.50449i | −1.73503 | − | 0.370628i | ||||
\(309\) | −20.4159 | + | 13.1205i | −1.16142 | + | 0.746400i | ||||
\(310\) | 0.399564 | + | 0.159961i | 0.0226937 | + | 0.00908519i | ||||
\(311\) | 19.9657 | − | 15.7012i | 1.13215 | − | 0.890335i | 0.137186 | − | 0.990545i | \(-0.456194\pi\) |
0.994966 | + | 0.100210i | \(0.0319516\pi\) | |||||||
\(312\) | −0.840173 | − | 0.433139i | −0.0475654 | − | 0.0245217i | ||||
\(313\) | 1.27123 | + | 3.67298i | 0.0718542 | + | 0.207609i | 0.975209 | − | 0.221284i | \(-0.0710248\pi\) |
−0.903355 | + | 0.428893i | \(0.858904\pi\) | |||||||
\(314\) | 4.84489 | − | 10.6088i | 0.273413 | − | 0.598690i | ||||
\(315\) | −1.94032 | − | 1.30267i | −0.109325 | − | 0.0733972i | ||||
\(316\) | 21.8907 | − | 6.42769i | 1.23145 | − | 0.361586i | ||||
\(317\) | −30.5424 | + | 5.88657i | −1.71543 | + | 0.330623i | −0.949848 | − | 0.312710i | \(-0.898763\pi\) |
−0.765586 | + | 0.643333i | \(0.777551\pi\) | |||||||
\(318\) | −5.05649 | − | 20.8431i | −0.283554 | − | 1.16883i | ||||
\(319\) | −20.5826 | + | 28.9043i | −1.15241 | + | 1.61833i | ||||
\(320\) | −13.1924 | − | 10.3746i | −0.737477 | − | 0.579958i | ||||
\(321\) | 6.33553 | 0.353615 | ||||||||
\(322\) | −25.5522 | + | 2.64749i | −1.42397 | + | 0.147539i | ||||
\(323\) | −27.7598 | −1.54460 | ||||||||
\(324\) | 12.2123 | + | 9.60389i | 0.678463 | + | 0.533549i | ||||
\(325\) | 2.30001 | − | 3.22991i | 0.127581 | − | 0.179163i | ||||
\(326\) | −7.79048 | − | 32.1128i | −0.431475 | − | 1.77856i | ||||
\(327\) | 1.25825 | − | 0.242509i | 0.0695816 | − | 0.0134108i | ||||
\(328\) | 0.268499 | − | 0.0788386i | 0.0148254 | − | 0.00435313i | ||||
\(329\) | 0.0222062 | − | 0.327743i | 0.00122427 | − | 0.0180690i | ||||
\(330\) | 14.3765 | − | 31.4801i | 0.791400 | − | 1.73292i | ||||
\(331\) | 7.00749 | + | 20.2468i | 0.385166 | + | 1.11286i | 0.956396 | + | 0.292074i | \(0.0943455\pi\) |
−0.571229 | + | 0.820790i | \(0.693533\pi\) | |||||||
\(332\) | −29.6056 | − | 15.2628i | −1.62482 | − | 0.837653i | ||||
\(333\) | −0.515297 | + | 0.405234i | −0.0282381 | + | 0.0222067i | ||||
\(334\) | −30.3618 | − | 12.1550i | −1.66132 | − | 0.665094i | ||||
\(335\) | −3.20433 | + | 2.05930i | −0.175071 | + | 0.112512i | ||||
\(336\) | −4.92454 | − | 15.2085i | −0.268656 | − | 0.829693i | ||||
\(337\) | 8.98656 | − | 19.6778i | 0.489529 | − | 1.07192i | −0.490203 | − | 0.871608i | \(-0.663077\pi\) |
0.979732 | − | 0.200311i | \(-0.0641954\pi\) | |||||||
\(338\) | −7.60123 | + | 3.91871i | −0.413453 | + | 0.213150i | ||||
\(339\) | −0.414461 | − | 0.395188i | −0.0225104 | − | 0.0214637i | ||||
\(340\) | −8.99706 | + | 25.9953i | −0.487934 | + | 1.40979i | ||||
\(341\) | 0.450824 | − | 0.429859i | 0.0244135 | − | 0.0232782i | ||||
\(342\) | 1.57357 | + | 3.44564i | 0.0850889 | + | 0.186319i | ||||
\(343\) | 3.73303 | − | 18.1401i | 0.201565 | − | 0.979475i | ||||
\(344\) | −1.83359 | −0.0988603 | ||||||||
\(345\) | 1.67341 | − | 14.5248i | 0.0900934 | − | 0.781988i | ||||
\(346\) | −13.0113 | − | 22.5362i | −0.699489 | − | 1.21155i | ||||
\(347\) | 1.41173 | − | 0.565173i | 0.0757858 | − | 0.0303401i | −0.333460 | − | 0.942764i | \(-0.608216\pi\) |
0.409246 | + | 0.912424i | \(0.365792\pi\) | |||||||
\(348\) | 21.0672 | + | 2.01167i | 1.12932 | + | 0.107837i | ||||
\(349\) | 29.0254 | + | 8.52263i | 1.55369 | + | 0.456206i | 0.942202 | − | 0.335044i | \(-0.108751\pi\) |
0.611492 | + | 0.791250i | \(0.290570\pi\) | |||||||
\(350\) | −7.06583 | + | 1.21543i | −0.377684 | + | 0.0649673i | ||||
\(351\) | −15.6764 | + | 4.60301i | −0.836746 | + | 0.245691i | ||||
\(352\) | −40.2605 | + | 20.7557i | −2.14589 | + | 1.10629i | ||||
\(353\) | 20.7472 | − | 1.98112i | 1.10426 | − | 0.105444i | 0.473036 | − | 0.881043i | \(-0.343158\pi\) |
0.631226 | + | 0.775599i | \(0.282552\pi\) | |||||||
\(354\) | 2.28436 | + | 0.440274i | 0.121412 | + | 0.0234003i | ||||
\(355\) | 0.685137 | + | 14.3828i | 0.0363633 | + | 0.763359i | ||||
\(356\) | 0.955081 | + | 6.64273i | 0.0506192 | + | 0.352064i | ||||
\(357\) | −23.0475 | + | 17.3883i | −1.21980 | + | 0.920286i | ||||
\(358\) | −10.4724 | + | 6.73023i | −0.553486 | + | 0.355704i | ||||
\(359\) | 2.58912 | + | 7.48077i | 0.136649 | + | 0.394820i | 0.992476 | − | 0.122442i | \(-0.0390725\pi\) |
−0.855827 | + | 0.517262i | \(0.826951\pi\) | |||||||
\(360\) | 0.176104 | − | 0.0168159i | 0.00928151 | − | 0.000886277i | ||||
\(361\) | −0.122422 | + | 2.56996i | −0.00644328 | + | 0.135261i | ||||
\(362\) | 6.51037 | − | 26.8361i | 0.342178 | − | 1.41048i | ||||
\(363\) | −21.3238 | − | 24.6090i | −1.11921 | − | 1.29164i | ||||
\(364\) | −15.6885 | − | 4.95034i | −0.822302 | − | 0.259468i | ||||
\(365\) | −6.31790 | − | 13.8343i | −0.330694 | − | 0.724119i | ||||
\(366\) | 19.7143 | + | 15.5035i | 1.03049 | + | 0.810382i | ||||
\(367\) | 10.1503 | + | 17.5808i | 0.529840 | + | 0.917710i | 0.999394 | + | 0.0348062i | \(0.0110814\pi\) |
−0.469554 | + | 0.882904i | \(0.655585\pi\) | |||||||
\(368\) | −12.8052 | + | 12.9157i | −0.667518 | + | 0.673276i | ||||
\(369\) | 0.322506 | − | 0.558597i | 0.0167890 | − | 0.0290794i | ||||
\(370\) | 0.782949 | − | 5.44553i | 0.0407036 | − | 0.283100i | ||||
\(371\) | −6.98570 | − | 16.1456i | −0.362679 | − | 0.838240i | ||||
\(372\) | −0.356465 | − | 0.104667i | −0.0184818 | − | 0.00542675i | ||||
\(373\) | −6.68559 | + | 1.28854i | −0.346167 | + | 0.0667182i | −0.359371 | − | 0.933195i | \(-0.617009\pi\) |
0.0132046 | + | 0.999913i | \(0.495797\pi\) | |||||||
\(374\) | 56.2700 | + | 53.6533i | 2.90965 | + | 2.77435i | ||||
\(375\) | 0.919466 | − | 19.3020i | 0.0474810 | − | 0.996749i | ||||
\(376\) | 0.0144235 | + | 0.0202550i | 0.000743836 | + | 0.00104457i | ||||
\(377\) | −12.2772 | + | 14.1687i | −0.632309 | + | 0.729723i | ||||
\(378\) | 25.9814 | + | 14.0607i | 1.33634 | + | 0.723207i | ||||
\(379\) | 4.95479 | + | 34.4613i | 0.254510 | + | 1.77016i | 0.570405 | + | 0.821364i | \(0.306786\pi\) |
−0.315895 | + | 0.948794i | \(0.602305\pi\) | |||||||
\(380\) | −15.1122 | − | 6.05001i | −0.775240 | − | 0.310359i | ||||
\(381\) | 2.04712 | + | 1.05536i | 0.104877 | + | 0.0540679i | ||||
\(382\) | 35.3656 | + | 6.81617i | 1.80946 | + | 0.348746i | ||||
\(383\) | −10.5903 | − | 14.8720i | −0.541138 | − | 0.759922i | 0.449961 | − | 0.893048i | \(-0.351438\pi\) |
−0.991099 | + | 0.133126i | \(0.957498\pi\) | |||||||
\(384\) | 2.14479 | + | 1.37837i | 0.109451 | + | 0.0703399i | ||||
\(385\) | 7.24406 | − | 27.4463i | 0.369192 | − | 1.39879i | ||||
\(386\) | 11.1477 | + | 12.8652i | 0.567404 | + | 0.654820i | ||||
\(387\) | −3.05877 | + | 2.91653i | −0.155486 | + | 0.148255i | ||||
\(388\) | 7.75082 | − | 10.8845i | 0.393488 | − | 0.552577i | ||||
\(389\) | 20.6170 | − | 8.25379i | 1.04532 | − | 0.418484i | 0.215495 | − | 0.976505i | \(-0.430863\pi\) |
0.829827 | + | 0.558021i | \(0.188439\pi\) | |||||||
\(390\) | 9.14241 | − | 15.8351i | 0.462944 | − | 0.801843i | ||||
\(391\) | 29.6071 | + | 14.2254i | 1.49730 | + | 0.719411i | ||||
\(392\) | 0.651715 | + | 1.24122i | 0.0329166 | + | 0.0626909i | ||||
\(393\) | −1.83769 | + | 12.7814i | −0.0926994 | + | 0.644739i | ||||
\(394\) | 2.70498 | + | 0.258294i | 0.136275 | + | 0.0130127i | ||||
\(395\) | 4.90366 | + | 20.2132i | 0.246730 | + | 1.01703i | ||||
\(396\) | 1.77684 | − | 5.13385i | 0.0892898 | − | 0.257986i | ||||
\(397\) | 0.184126 | − | 0.758978i | 0.00924102 | − | 0.0380920i | −0.967004 | − | 0.254760i | \(-0.918004\pi\) |
0.976245 | + | 0.216668i | \(0.0695188\pi\) | |||||||
\(398\) | −6.75536 | − | 4.34140i | −0.338615 | − | 0.217615i | ||||
\(399\) | −9.62908 | − | 14.1127i | −0.482057 | − | 0.706519i | ||||
\(400\) | −3.32408 | + | 3.83619i | −0.166204 | + | 0.191810i | ||||
\(401\) | −0.639027 | − | 13.4148i | −0.0319115 | − | 0.669905i | −0.956989 | − | 0.290125i | \(-0.906303\pi\) |
0.925077 | − | 0.379779i | \(-0.124000\pi\) | |||||||
\(402\) | 5.04713 | − | 3.96911i | 0.251728 | − | 0.197961i | ||||
\(403\) | 0.258702 | − | 0.203445i | 0.0128869 | − | 0.0101343i | ||||
\(404\) | 0.780602 | + | 16.3869i | 0.0388364 | + | 0.815277i | ||||
\(405\) | −9.27536 | + | 10.7043i | −0.460896 | + | 0.531903i | ||||
\(406\) | 33.8034 | − | 2.54505i | 1.67763 | − | 0.126309i | ||||
\(407\) | −6.69841 | − | 4.30481i | −0.332028 | − | 0.213381i | ||||
\(408\) | 0.515233 | − | 2.12382i | 0.0255079 | − | 0.105145i | ||||
\(409\) | 2.91978 | − | 8.43615i | 0.144374 | − | 0.417141i | −0.849510 | − | 0.527573i | \(-0.823102\pi\) |
0.993884 | + | 0.110432i | \(0.0352234\pi\) | |||||||
\(410\) | 1.27618 | + | 5.26050i | 0.0630262 | + | 0.259798i | ||||
\(411\) | 20.4666 | + | 1.95432i | 1.00954 | + | 0.0963997i | ||||
\(412\) | 4.54999 | − | 31.6458i | 0.224162 | − | 1.55908i | ||||
\(413\) | 1.90780 | + | 0.0382600i | 0.0938767 | + | 0.00188265i | ||||
\(414\) | 0.0874201 | − | 4.48130i | 0.00429646 | − | 0.220244i | ||||
\(415\) | 15.1830 | − | 26.2977i | 0.745305 | − | 1.29091i | ||||
\(416\) | −22.2177 | + | 8.89461i | −1.08931 | + | 0.436094i | ||||
\(417\) | 2.82909 | − | 3.97290i | 0.138541 | − | 0.194554i | ||||
\(418\) | −33.2983 | + | 31.7498i | −1.62867 | + | 1.55294i | ||||
\(419\) | 7.49076 | + | 8.64480i | 0.365948 | + | 0.422326i | 0.908624 | − | 0.417616i | \(-0.137134\pi\) |
−0.542676 | + | 0.839942i | \(0.682589\pi\) | |||||||
\(420\) | −16.3365 | + | 4.44304i | −0.797138 | + | 0.216798i | ||||
\(421\) | 2.49749 | + | 1.60504i | 0.121720 | + | 0.0782248i | 0.600084 | − | 0.799937i | \(-0.295134\pi\) |
−0.478364 | + | 0.878162i | \(0.658770\pi\) | |||||||
\(422\) | −17.1144 | − | 24.0339i | −0.833117 | − | 1.16995i | ||||
\(423\) | 0.0562790 | + | 0.0108469i | 0.00273638 | + | 0.000527394i | ||||
\(424\) | 1.18362 | + | 0.610198i | 0.0574816 | + | 0.0296338i | ||||
\(425\) | 8.51074 | + | 3.40719i | 0.412831 | + | 0.165273i | ||||
\(426\) | −3.45436 | − | 24.0256i | −0.167364 | − | 1.16404i | ||||
\(427\) | 18.0920 | + | 9.79114i | 0.875535 | + | 0.473827i | ||||
\(428\) | −5.46576 | + | 6.30782i | −0.264197 | + | 0.304900i | ||||
\(429\) | −15.3505 | − | 21.5568i | −0.741130 | − | 1.04077i | ||||
\(430\) | 1.68767 | − | 35.4285i | 0.0813865 | − | 1.70851i | ||||
\(431\) | −2.48743 | − | 2.37176i | −0.119816 | − | 0.114244i | 0.627803 | − | 0.778372i | \(-0.283954\pi\) |
−0.747619 | + | 0.664128i | \(0.768803\pi\) | |||||||
\(432\) | 20.5376 | − | 3.95829i | 0.988114 | − | 0.190443i | ||||
\(433\) | −3.08672 | − | 0.906344i | −0.148338 | − | 0.0435561i | 0.206720 | − | 0.978400i | \(-0.433721\pi\) |
−0.355059 | + | 0.934844i | \(0.615539\pi\) | |||||||
\(434\) | −0.591144 | − | 0.0684336i | −0.0283758 | − | 0.00328492i | ||||
\(435\) | −2.74576 | + | 19.0972i | −0.131649 | + | 0.915639i | ||||
\(436\) | −0.844066 | + | 1.46197i | −0.0404234 | + | 0.0700154i | ||||
\(437\) | −9.24214 | + | 17.0999i | −0.442112 | + | 0.817999i | ||||
\(438\) | 12.8187 | + | 22.2026i | 0.612499 | + | 1.06088i | ||||
\(439\) | −9.76249 | − | 7.67731i | −0.465938 | − | 0.366418i | 0.357416 | − | 0.933945i | \(-0.383658\pi\) |
−0.823355 | + | 0.567527i | \(0.807900\pi\) | |||||||
\(440\) | 0.892611 | + | 1.95455i | 0.0425536 | + | 0.0931793i | ||||
\(441\) | 3.06148 | + | 1.03396i | 0.145785 | + | 0.0492360i | ||||
\(442\) | 26.9009 | + | 31.0453i | 1.27955 | + | 1.47667i | ||||
\(443\) | −2.07325 | + | 8.54606i | −0.0985031 | + | 0.406035i | −0.999621 | − | 0.0275393i | \(-0.991233\pi\) |
0.901118 | + | 0.433575i | \(0.142748\pi\) | |||||||
\(444\) | −0.225961 | + | 4.74351i | −0.0107236 | + | 0.225117i | ||||
\(445\) | −6.09051 | + | 0.581573i | −0.288718 | + | 0.0275692i | ||||
\(446\) | 5.79343 | + | 16.7390i | 0.274327 | + | 0.792615i | ||||
\(447\) | 20.6838 | − | 13.2927i | 0.978312 | − | 0.628723i | ||||
\(448\) | 21.3659 | + | 9.05480i | 1.00944 | + | 0.427799i | ||||
\(449\) | −0.0203506 | − | 0.141541i | −0.000960403 | − | 0.00667975i | 0.989336 | − | 0.145654i | \(-0.0465286\pi\) |
−0.990296 | + | 0.138974i | \(0.955620\pi\) | |||||||
\(450\) | −0.0595218 | − | 1.24952i | −0.00280589 | − | 0.0589028i | ||||
\(451\) | 7.69284 | + | 1.48267i | 0.362242 | + | 0.0698163i | ||||
\(452\) | 0.751020 | − | 0.0717137i | 0.0353250 | − | 0.00337313i | ||||
\(453\) | −14.4253 | + | 7.43674i | −0.677758 | + | 0.349408i | ||||
\(454\) | −45.1321 | + | 13.2520i | −2.11815 | + | 0.621946i | ||||
\(455\) | 5.18848 | − | 14.0717i | 0.243240 | − | 0.659692i | ||||
\(456\) | 1.24086 | + | 0.364349i | 0.0581086 | + | 0.0170622i | ||||
\(457\) | −0.0780704 | − | 0.00745481i | −0.00365198 | − | 0.000348722i | 0.0932299 | − | 0.995645i | \(-0.470281\pi\) |
−0.0968819 | + | 0.995296i | \(0.530887\pi\) | |||||||
\(458\) | 25.1827 | − | 10.0816i | 1.17671 | − | 0.471084i | ||||
\(459\) | −18.8870 | − | 32.7133i | −0.881571 | − | 1.52693i | ||||
\(460\) | 13.0176 | + | 14.1968i | 0.606947 | + | 0.661930i | ||||
\(461\) | −10.7460 | −0.500493 | −0.250247 | − | 0.968182i | \(-0.580512\pi\) | ||||
−0.250247 | + | 0.968182i | \(0.580512\pi\) | |||||||
\(462\) | −7.75817 | + | 47.2177i | −0.360943 | + | 2.19676i | ||||
\(463\) | 11.0977 | + | 24.3006i | 0.515755 | + | 1.12935i | 0.971022 | + | 0.238991i | \(0.0768166\pi\) |
−0.455267 | + | 0.890355i | \(0.650456\pi\) | |||||||
\(464\) | 17.3697 | − | 16.5620i | 0.806370 | − | 0.768873i | ||||
\(465\) | 0.110776 | − | 0.320067i | 0.00513713 | − | 0.0148428i | ||||
\(466\) | −36.5777 | − | 34.8767i | −1.69443 | − | 1.61563i | ||||
\(467\) | 29.6600 | − | 15.2908i | 1.37250 | − | 0.707574i | 0.395036 | − | 0.918666i | \(-0.370732\pi\) |
0.977466 | + | 0.211091i | \(0.0677017\pi\) | |||||||
\(468\) | 1.19238 | − | 2.61094i | 0.0551177 | − | 0.120691i | ||||
\(469\) | 3.52799 | − | 3.91027i | 0.162908 | − | 0.180559i | ||||
\(470\) | −0.404642 | + | 0.260048i | −0.0186647 | + | 0.0119951i | ||||
\(471\) | −8.52049 | − | 3.41109i | −0.392604 | − | 0.157175i | ||||
\(472\) | −0.113539 | + | 0.0892881i | −0.00522606 | + | 0.00410982i | ||||
\(473\) | −45.6276 | − | 23.5227i | −2.09796 | − | 1.08157i | ||||
\(474\) | −11.4676 | − | 33.1334i | −0.526724 | − | 1.52187i | ||||
\(475\) | −2.25359 | + | 4.93467i | −0.103402 | + | 0.226418i | ||||
\(476\) | 2.57115 | − | 37.9478i | 0.117849 | − | 1.73933i | ||||
\(477\) | 2.94509 | − | 0.864756i | 0.134846 | − | 0.0395945i | ||||
\(478\) | 22.1951 | − | 4.27775i | 1.01518 | − | 0.195660i | ||||
\(479\) | 7.76526 | + | 32.0088i | 0.354804 | + | 1.46252i | 0.817461 | + | 0.575984i | \(0.195381\pi\) |
−0.462657 | + | 0.886537i | \(0.653104\pi\) | |||||||
\(480\) | −14.2860 | + | 20.0619i | −0.652063 | + | 0.915695i | ||||
\(481\) | −3.30687 | − | 2.60055i | −0.150780 | − | 0.118575i | ||||
\(482\) | −15.6784 | −0.714134 | ||||||||
\(483\) | 3.03785 | + | 19.9862i | 0.138227 | + | 0.909406i | ||||
\(484\) | 42.8976 | 1.94989 | ||||||||
\(485\) | 9.57555 | + | 7.53030i | 0.434803 | + | 0.341933i | ||||
\(486\) | −5.58102 | + | 7.83744i | −0.253160 | + | 0.355513i | ||||
\(487\) | 3.77092 | + | 15.5439i | 0.170877 | + | 0.704363i | 0.991190 | + | 0.132448i | \(0.0422839\pi\) |
−0.820313 | + | 0.571914i | \(0.806201\pi\) | |||||||
\(488\) | −1.52904 | + | 0.294699i | −0.0692165 | + | 0.0133404i | ||||
\(489\) | −24.9506 | + | 7.32616i | −1.12831 | + | 0.331300i | ||||
\(490\) | −24.5826 | + | 11.4500i | −1.11053 | + | 0.517257i | ||||
\(491\) | 15.5338 | − | 34.0144i | 0.701033 | − | 1.53505i | −0.137682 | − | 0.990477i | \(-0.543965\pi\) |
0.838715 | − | 0.544571i | \(-0.183308\pi\) | |||||||
\(492\) | −1.52824 | − | 4.41556i | −0.0688984 | − | 0.199069i | ||||
\(493\) | −38.5266 | − | 19.8618i | −1.73515 | − | 0.894532i | ||||
\(494\) | −19.1080 | + | 15.0267i | −0.859709 | + | 0.676082i | ||||
\(495\) | 4.59797 | + | 1.84075i | 0.206663 | + | 0.0827356i | ||||
\(496\) | −0.354437 | + | 0.227783i | −0.0159147 | + | 0.0102277i | ||||
\(497\) | −6.13312 | − | 18.9410i | −0.275108 | − | 0.849619i | ||||
\(498\) | −21.2643 | + | 46.5624i | −0.952878 | + | 2.08651i | ||||
\(499\) | 3.06776 | − | 1.58154i | 0.137332 | − | 0.0707995i | −0.388191 | − | 0.921579i | \(-0.626900\pi\) |
0.525523 | + | 0.850779i | \(0.323870\pi\) | |||||||
\(500\) | 18.4243 | + | 17.5675i | 0.823959 | + | 0.785644i | ||||
\(501\) | −8.41761 | + | 24.3211i | −0.376071 | + | 1.08659i | ||||
\(502\) | −33.4846 | + | 31.9275i | −1.49449 | + | 1.42499i | ||||
\(503\) | −14.0770 | − | 30.8243i | −0.627661 | − | 1.37439i | −0.909814 | − | 0.415017i | \(-0.863776\pi\) |
0.282152 | − | 0.959370i | \(-0.408952\pi\) | |||||||
\(504\) | −0.228857 | + | 0.0863379i | −0.0101941 | + | 0.00384580i | ||||
\(505\) | −14.9562 | −0.665544 | ||||||||
\(506\) | 51.7843 | − | 16.7991i | 2.30209 | − | 0.746811i | ||||
\(507\) | 3.36493 | + | 5.82823i | 0.149442 | + | 0.258841i | ||||
\(508\) | −2.81683 | + | 1.12769i | −0.124976 | + | 0.0500330i | ||||
\(509\) | 3.06283 | + | 0.292465i | 0.135758 | + | 0.0129633i | 0.162714 | − | 0.986673i | \(-0.447975\pi\) |
−0.0269560 | + | 0.999637i | \(0.508581\pi\) | |||||||
\(510\) | 40.5622 | + | 11.9101i | 1.79612 | + | 0.527389i | ||||
\(511\) | 13.4493 | + | 16.1652i | 0.594964 | + | 0.715107i | ||||
\(512\) | 30.8532 | − | 9.05932i | 1.36353 | − | 0.400369i | ||||
\(513\) | 19.8683 | − | 10.2428i | 0.877205 | − | 0.452231i | ||||
\(514\) | −21.0446 | + | 2.00951i | −0.928236 | + | 0.0886358i | ||||
\(515\) | 28.6203 | + | 5.51612i | 1.26116 | + | 0.243069i | ||||
\(516\) | 1.45678 | + | 30.5817i | 0.0641313 | + | 1.34628i | ||||
\(517\) | 0.0990731 | + | 0.689068i | 0.00435723 | + | 0.0303052i | ||||
\(518\) | 0.931375 | + | 7.54956i | 0.0409223 | + | 0.331709i | ||||
\(519\) | −17.2274 | + | 11.0714i | −0.756198 | + | 0.485979i | ||||
\(520\) | 0.371311 | + | 1.07283i | 0.0162831 | + | 0.0470469i | ||||
\(521\) | 21.3432 | − | 2.03802i | 0.935061 | − | 0.0892875i | 0.383610 | − | 0.923495i | \(-0.374681\pi\) |
0.551451 | + | 0.834208i | \(0.314075\pi\) | |||||||
\(522\) | −0.281429 | + | 5.90791i | −0.0123178 | + | 0.258582i | ||||
\(523\) | 1.84139 | − | 7.59031i | 0.0805183 | − | 0.331901i | −0.917278 | − | 0.398247i | \(-0.869619\pi\) |
0.997797 | + | 0.0663456i | \(0.0211340\pi\) | |||||||
\(524\) | −11.1401 | − | 12.8564i | −0.486659 | − | 0.561634i | ||||
\(525\) | 1.21996 | + | 5.50860i | 0.0532436 | + | 0.240415i | ||||
\(526\) | 6.97075 | + | 15.2638i | 0.303939 | + | 0.665534i | ||||
\(527\) | 0.598120 | + | 0.470367i | 0.0260545 | + | 0.0204895i | ||||
\(528\) | 16.9389 | + | 29.3391i | 0.737173 | + | 1.27682i | ||||
\(529\) | 18.6200 | − | 13.5017i | 0.809564 | − | 0.587032i | ||||
\(530\) | −12.8796 | + | 22.3082i | −0.559456 | + | 0.969006i | ||||
\(531\) | −0.0473816 | + | 0.329546i | −0.00205619 | + | 0.0143011i | ||||
\(532\) | 22.3581 | + | 2.58828i | 0.969347 | + | 0.112216i | ||||
\(533\) | 3.97163 | + | 1.16618i | 0.172030 | + | 0.0505127i | ||||
\(534\) | 10.1271 | − | 1.95185i | 0.438244 | − | 0.0844646i | ||||
\(535\) | −5.50700 | − | 5.25091i | −0.238088 | − | 0.227017i | ||||
\(536\) | −0.0189690 | + | 0.398208i | −0.000819335 | + | 0.0172000i | ||||
\(537\) | 5.68244 | + | 7.97988i | 0.245216 | + | 0.344357i | ||||
\(538\) | −3.13551 | + | 3.61857i | −0.135181 | + | 0.156007i | ||||
\(539\) | 0.294217 | + | 39.2476i | 0.0126728 | + | 1.69051i | ||||
\(540\) | −3.15235 | − | 21.9251i | −0.135656 | − | 0.943506i | ||||
\(541\) | −23.2399 | − | 9.30386i | −0.999162 | − | 0.400004i | −0.186320 | − | 0.982489i | \(-0.559656\pi\) |
−0.812842 | + | 0.582485i | \(0.802081\pi\) | |||||||
\(542\) | −38.4453 | − | 19.8199i | −1.65137 | − | 0.851338i | ||||
\(543\) | −21.3384 | − | 4.11263i | −0.915716 | − | 0.176490i | ||||
\(544\) | −32.0950 | − | 45.0711i | −1.37606 | − | 1.93241i | ||||
\(545\) | −1.29470 | − | 0.832051i | −0.0554587 | − | 0.0356412i | ||||
\(546\) | −6.45185 | + | 24.4448i | −0.276114 | + | 1.04614i | ||||
\(547\) | −23.0844 | − | 26.6408i | −0.987016 | − | 1.13908i | −0.990281 | − | 0.139083i | \(-0.955585\pi\) |
0.00326446 | − | 0.999995i | \(-0.498961\pi\) | |||||||
\(548\) | −19.6026 | + | 18.6910i | −0.837382 | + | 0.798442i | ||||
\(549\) | −2.08198 | + | 2.92373i | −0.0888567 | + | 0.124782i | ||||
\(550\) | 14.1057 | − | 5.64705i | 0.601467 | − | 0.240791i | ||||
\(551\) | 12.8249 | − | 22.2134i | 0.546359 | − | 0.946322i | ||||
\(552\) | −1.13673 | − | 1.02447i | −0.0483822 | − | 0.0436043i | ||||
\(553\) | −13.8771 | − | 25.1891i | −0.590116 | − | 1.07115i | ||||
\(554\) | 5.97882 | − | 41.5836i | 0.254016 | − | 1.76672i | ||||
\(555\) | −4.30979 | − | 0.411535i | −0.182940 | − | 0.0174687i | ||||
\(556\) | 1.51483 | + | 6.24420i | 0.0642429 | + | 0.264813i | ||||
\(557\) | 3.11499 | − | 9.00016i | 0.131986 | − | 0.381349i | −0.859571 | − | 0.511016i | \(-0.829269\pi\) |
0.991558 | + | 0.129666i | \(0.0413906\pi\) | |||||||
\(558\) | 0.0244789 | − | 0.100903i | 0.00103627 | − | 0.00427158i | ||||
\(559\) | −22.8167 | − | 14.6634i | −0.965045 | − | 0.620197i | ||||
\(560\) | −8.32435 | + | 17.3011i | −0.351768 | + | 0.731104i | ||||
\(561\) | 40.0673 | − | 46.2401i | 1.69164 | − | 1.95226i | ||||
\(562\) | −1.50973 | − | 31.6931i | −0.0636841 | − | 1.33689i | ||||
\(563\) | 13.5824 | − | 10.6813i | 0.572428 | − | 0.450162i | −0.289511 | − | 0.957175i | \(-0.593493\pi\) |
0.861939 | + | 0.507012i | \(0.169250\pi\) | |||||||
\(564\) | 0.326366 | − | 0.256657i | 0.0137425 | − | 0.0108072i | ||||
\(565\) | 0.0327265 | + | 0.687014i | 0.00137681 | + | 0.0289029i | ||||
\(566\) | −5.79920 | + | 6.69263i | −0.243758 | + | 0.281312i | ||||
\(567\) | 8.49101 | − | 17.6475i | 0.356589 | − | 0.741124i | ||||
\(568\) | 1.26781 | + | 0.814771i | 0.0531960 | + | 0.0341870i | ||||
\(569\) | 1.14372 | − | 4.71450i | 0.0479474 | − | 0.197642i | −0.942800 | − | 0.333358i | \(-0.891818\pi\) |
0.990748 | + | 0.135716i | \(0.0433334\pi\) | |||||||
\(570\) | −8.18205 | + | 23.6405i | −0.342709 | + | 0.990191i | ||||
\(571\) | −1.14270 | − | 4.71026i | −0.0478204 | − | 0.197118i | 0.942891 | − | 0.333103i | \(-0.108096\pi\) |
−0.990711 | + | 0.135984i | \(0.956580\pi\) | |||||||
\(572\) | 34.7056 | + | 3.31398i | 1.45111 | + | 0.138565i | ||||
\(573\) | 4.03362 | − | 28.0544i | 0.168507 | − | 1.17199i | ||||
\(574\) | −3.61154 | − | 6.55551i | −0.150743 | − | 0.273622i | ||||
\(575\) | 4.93231 | − | 4.10821i | 0.205692 | − | 0.171324i | ||||
\(576\) | −2.02441 | + | 3.50638i | −0.0843505 | + | 0.146099i | ||||
\(577\) | 4.17927 | − | 1.67313i | 0.173985 | − | 0.0696532i | −0.283035 | − | 0.959110i | \(-0.591341\pi\) |
0.457020 | + | 0.889457i | \(0.348917\pi\) | |||||||
\(578\) | −35.1262 | + | 49.3279i | −1.46106 | + | 2.05177i | ||||
\(579\) | 9.69526 | − | 9.24442i | 0.402921 | − | 0.384185i | ||||
\(580\) | −16.6448 | − | 19.2092i | −0.691139 | − | 0.797617i | ||||
\(581\) | −10.7147 | + | 40.5960i | −0.444522 | + | 1.68420i | ||||
\(582\) | −17.2751 | − | 11.1020i | −0.716076 | − | 0.460194i | ||||
\(583\) | 21.6255 | + | 30.3688i | 0.895637 | + | 1.25775i | ||||
\(584\) | −1.56301 | − | 0.301246i | −0.0646778 | − | 0.0124656i | ||||
\(585\) | 2.32588 | + | 1.19908i | 0.0961634 | + | 0.0495757i | ||||
\(586\) | 59.5592 | + | 23.8439i | 2.46037 | + | 0.984984i | ||||
\(587\) | 4.44775 | + | 30.9348i | 0.183578 | + | 1.27682i | 0.848216 | + | 0.529650i | \(0.177677\pi\) |
−0.664638 | + | 0.747166i | \(0.731414\pi\) | |||||||
\(588\) | 20.1840 | − | 11.8558i | 0.832373 | − | 0.488927i | ||||
\(589\) | −0.294870 | + | 0.340298i | −0.0121499 | + | 0.0140217i | ||||
\(590\) | −1.62072 | − | 2.27598i | −0.0667239 | − | 0.0937006i | ||||
\(591\) | 0.101747 | − | 2.13592i | 0.00418529 | − | 0.0878601i | ||||
\(592\) | 3.89770 | + | 3.71645i | 0.160194 | + | 0.152745i | ||||
\(593\) | 40.7987 | − | 7.86331i | 1.67540 | − | 0.322907i | 0.738965 | − | 0.673743i | \(-0.235315\pi\) |
0.936437 | + | 0.350836i | \(0.114103\pi\) | |||||||
\(594\) | −60.0705 | − | 17.6383i | −2.46472 | − | 0.723708i | ||||
\(595\) | 34.4449 | + | 3.98750i | 1.41210 | + | 0.163472i | ||||
\(596\) | −4.60970 | + | 32.0612i | −0.188821 | + | 1.31328i | ||||
\(597\) | −3.15962 | + | 5.47262i | −0.129315 | + | 0.223979i | ||||
\(598\) | 28.0799 | − | 6.23483i | 1.14827 | − | 0.254961i | ||||
\(599\) | 5.79228 | + | 10.0325i | 0.236666 | + | 0.409918i | 0.959756 | − | 0.280837i | \(-0.0906119\pi\) |
−0.723089 | + | 0.690754i | \(0.757279\pi\) | |||||||
\(600\) | −0.335709 | − | 0.264005i | −0.0137053 | − | 0.0107779i | ||||
\(601\) | −17.8612 | − | 39.1105i | −0.728572 | − | 1.59535i | −0.801487 | − | 0.598013i | \(-0.795957\pi\) |
0.0729142 | − | 0.997338i | \(-0.476770\pi\) | |||||||
\(602\) | 10.6040 | + | 47.8813i | 0.432188 | + | 1.95149i | ||||
\(603\) | 0.601751 | + | 0.694458i | 0.0245052 | + | 0.0282805i | ||||
\(604\) | 5.04067 | − | 20.7779i | 0.205102 | − | 0.845442i | ||||
\(605\) | −1.86084 | + | 39.0639i | −0.0756541 | + | 1.58817i | ||||
\(606\) | 25.0977 | − | 2.39654i | 1.01952 | − | 0.0973527i | ||||
\(607\) | −5.73746 | − | 16.5773i | −0.232876 | − | 0.672852i | −0.999526 | − | 0.0307861i | \(-0.990199\pi\) |
0.766650 | − | 0.642065i | \(-0.221922\pi\) | |||||||
\(608\) | 27.5447 | − | 17.7019i | 1.11709 | − | 0.717908i | ||||
\(609\) | −3.26628 | − | 26.4759i | −0.132356 | − | 1.07286i | ||||
\(610\) | −4.28680 | − | 29.8154i | −0.173568 | − | 1.20719i | ||||
\(611\) | 0.0175012 | + | 0.367395i | 0.000708022 | + | 0.0148632i | ||||
\(612\) | 6.51628 | + | 1.25591i | 0.263405 | + | 0.0507672i | ||||
\(613\) | −18.0468 | + | 1.72326i | −0.728904 | + | 0.0696019i | −0.452908 | − | 0.891557i | \(-0.649614\pi\) |
−0.275996 | + | 0.961159i | \(0.589007\pi\) | |||||||
\(614\) | −28.4253 | + | 14.6543i | −1.14715 | + | 0.591398i | ||||
\(615\) | 4.08724 | − | 1.20012i | 0.164813 | − | 0.0483936i | ||||
\(616\) | −1.90016 | − | 2.28387i | −0.0765597 | − | 0.0920196i | ||||
\(617\) | 17.4645 | + | 5.12803i | 0.703093 | + | 0.206447i | 0.613688 | − | 0.789549i | \(-0.289685\pi\) |
0.0894048 | + | 0.995995i | \(0.471504\pi\) | |||||||
\(618\) | −48.9109 | − | 4.67042i | −1.96748 | − | 0.187872i | ||||
\(619\) | 3.13792 | − | 1.25623i | 0.126124 | − | 0.0504923i | −0.307742 | − | 0.951470i | \(-0.599573\pi\) |
0.433866 | + | 0.900977i | \(0.357149\pi\) | |||||||
\(620\) | 0.223099 | + | 0.386419i | 0.00895987 | + | 0.0155189i | ||||
\(621\) | −26.4393 | + | 0.742998i | −1.06097 | + | 0.0298155i | ||||
\(622\) | 51.4243 | 2.06193 | ||||||||
\(623\) | 7.91496 | − | 2.98597i | 0.317106 | − | 0.119630i | ||||
\(624\) | 7.43564 | + | 16.2818i | 0.297664 | + | 0.651793i | ||||
\(625\) | −11.9533 | + | 11.3974i | −0.478130 | + | 0.455896i | ||||
\(626\) | −2.57371 | + | 7.43624i | −0.102866 | + | 0.297212i | ||||
\(627\) | 26.2038 | + | 24.9853i | 1.04648 | + | 0.997817i | ||||
\(628\) | 10.7469 | − | 5.54042i | 0.428849 | − | 0.221087i | ||||
\(629\) | 4.04051 | − | 8.84748i | 0.161106 | − | 0.352772i | ||||
\(630\) | −1.45757 | − | 4.50144i | −0.0580711 | − | 0.179342i | ||||
\(631\) | −7.93823 | + | 5.10159i | −0.316016 | + | 0.203091i | −0.689027 | − | 0.724736i | \(-0.741962\pi\) |
0.373011 | + | 0.927827i | \(0.378325\pi\) | |||||||
\(632\) | 2.02099 | + | 0.809082i | 0.0803906 | + | 0.0321835i | ||||
\(633\) | −18.2510 | + | 14.3528i | −0.725413 | + | 0.570471i | ||||
\(634\) | −55.9732 | − | 28.8562i | −2.22298 | − | 1.14603i | ||||
\(635\) | −0.904717 | − | 2.61401i | −0.0359026 | − | 0.103734i | ||||
\(636\) | 9.23687 | − | 20.2259i | 0.366266 | − | 0.802010i | ||||
\(637\) | −1.81637 | + | 20.6573i | −0.0719674 | + | 0.818471i | ||||
\(638\) | −68.9298 | + | 20.2396i | −2.72896 | + | 0.801294i | ||||
\(639\) | 3.41093 | − | 0.657403i | 0.134934 | − | 0.0260064i | ||||
\(640\) | −0.721904 | − | 2.97573i | −0.0285358 | − | 0.117626i | ||||
\(641\) | −1.55894 | + | 2.18922i | −0.0615744 | + | 0.0864691i | −0.844215 | − | 0.536005i | \(-0.819933\pi\) |
0.782641 | + | 0.622474i | \(0.213872\pi\) | |||||||
\(642\) | 10.0825 | + | 7.92900i | 0.397926 | + | 0.312933i | ||||
\(643\) | 1.92672 | 0.0759823 | 0.0379912 | − | 0.999278i | \(-0.487904\pi\) | ||||
0.0379912 | + | 0.999278i | \(0.487904\pi\) | |||||||
\(644\) | −22.5196 | − | 14.2179i | −0.887397 | − | 0.560262i | ||||
\(645\) | −27.9118 | −1.09903 | ||||||||
\(646\) | −44.1777 | − | 34.7417i | −1.73815 | − | 1.36690i | ||||
\(647\) | −4.52345 | + | 6.35229i | −0.177835 | + | 0.249734i | −0.893866 | − | 0.448334i | \(-0.852018\pi\) |
0.716031 | + | 0.698069i | \(0.245957\pi\) | |||||||
\(648\) | 0.349495 | + | 1.44064i | 0.0137295 | + | 0.0565936i | ||||
\(649\) | −3.97080 | + | 0.765310i | −0.155868 | + | 0.0300410i | ||||
\(650\) | 7.70256 | − | 2.26168i | 0.302119 | − | 0.0887102i | ||||
\(651\) | −0.0316574 | + | 0.467232i | −0.00124075 | + | 0.0183123i | ||||
\(652\) | 14.2311 | − | 31.1618i | 0.557334 | − | 1.22039i | ||||
\(653\) | −16.2332 | − | 46.9029i | −0.635256 | − | 1.83545i | −0.543032 | − | 0.839712i | \(-0.682724\pi\) |
−0.0922238 | − | 0.995738i | \(-0.529398\pi\) | |||||||
\(654\) | 2.30592 | + | 1.18879i | 0.0901687 | + | 0.0464852i | ||||
\(655\) | 12.1907 | − | 9.58686i | 0.476329 | − | 0.374589i | ||||
\(656\) | −4.91938 | − | 1.96942i | −0.192070 | − | 0.0768931i | ||||
\(657\) | −3.08656 | + | 1.98361i | −0.120418 | + | 0.0773881i | ||||
\(658\) | 0.445513 | − | 0.493787i | 0.0173679 | − | 0.0192498i | ||||
\(659\) | −4.93463 | + | 10.8053i | −0.192226 | + | 0.420916i | −0.981064 | − | 0.193686i | \(-0.937956\pi\) |
0.788838 | + | 0.614601i | \(0.210683\pi\) | |||||||
\(660\) | 31.8899 | − | 16.4404i | 1.24131 | − | 0.639941i | ||||
\(661\) | −1.77850 | − | 1.69579i | −0.0691755 | − | 0.0659587i | 0.654703 | − | 0.755886i | \(-0.272794\pi\) |
−0.723878 | + | 0.689928i | \(0.757642\pi\) | |||||||
\(662\) | −14.1872 | + | 40.9913i | −0.551402 | + | 1.59317i | ||||
\(663\) | 23.3959 | − | 22.3080i | 0.908622 | − | 0.866370i | ||||
\(664\) | −1.32027 | − | 2.89098i | −0.0512362 | − | 0.112192i | ||||
\(665\) | −3.32683 | + | 20.2477i | −0.129009 | + | 0.785173i | ||||
\(666\) | −1.32721 | −0.0514285 | ||||||||
\(667\) | −25.0615 | + | 17.1195i | −0.970387 | + | 0.662871i | ||||
\(668\) | −16.9527 | − | 29.3629i | −0.655920 | − | 1.13609i | ||||
\(669\) | 12.9408 | − | 5.18071i | 0.500320 | − | 0.200298i | ||||
\(670\) | −7.67670 | − | 0.733036i | −0.296577 | − | 0.0283197i | ||||
\(671\) | −41.8299 | − | 12.2824i | −1.61482 | − | 0.474155i | ||||
\(672\) | 11.7807 | − | 31.9505i | 0.454451 | − | 1.23252i | ||||
\(673\) | 1.36966 | − | 0.402170i | 0.0527967 | − | 0.0155025i | −0.255228 | − | 0.966881i | \(-0.582150\pi\) |
0.308024 | + | 0.951379i | \(0.400332\pi\) | |||||||
\(674\) | 38.9285 | − | 20.0690i | 1.49947 | − | 0.773030i | ||||
\(675\) | −7.34849 | + | 0.701696i | −0.282844 | + | 0.0270083i | ||||
\(676\) | −8.70571 | − | 1.67789i | −0.334835 | − | 0.0645341i | ||||
\(677\) | 1.58920 | + | 33.3614i | 0.0610779 | + | 1.28218i | 0.796527 | + | 0.604603i | \(0.206668\pi\) |
−0.735449 | + | 0.677580i | \(0.763029\pi\) | |||||||
\(678\) | −0.165002 | − | 1.14762i | −0.00633687 | − | 0.0440739i | ||||
\(679\) | −15.5082 | − | 6.57233i | −0.595151 | − | 0.252223i | ||||
\(680\) | −2.20808 | + | 1.41905i | −0.0846762 | + | 0.0544181i | ||||
\(681\) | 12.1067 | + | 34.9799i | 0.463928 | + | 1.34043i | ||||
\(682\) | 1.25543 | − | 0.119879i | 0.0480728 | − | 0.00459039i | ||||
\(683\) | 2.19796 | − | 46.1408i | 0.0841025 | − | 1.76553i | −0.425349 | − | 0.905029i | \(-0.639849\pi\) |
0.509451 | − | 0.860499i | \(-0.329848\pi\) | |||||||
\(684\) | −0.925834 | + | 3.81634i | −0.0354001 | + | 0.145921i | ||||
\(685\) | −16.1703 | − | 18.6615i | −0.617836 | − | 0.713021i | ||||
\(686\) | 28.6434 | − | 24.1968i | 1.09361 | − | 0.923837i | ||||
\(687\) | −8.86763 | − | 19.4174i | −0.338321 | − | 0.740820i | ||||
\(688\) | 27.2924 | + | 21.4630i | 1.04051 | + | 0.818269i | ||||
\(689\) | 9.84885 | + | 17.0587i | 0.375211 | + | 0.649885i | ||||
\(690\) | 20.8410 | − | 21.0208i | 0.793405 | − | 0.800249i | ||||
\(691\) | −3.78722 | + | 6.55966i | −0.144073 | + | 0.249541i | −0.929027 | − | 0.370013i | \(-0.879353\pi\) |
0.784954 | + | 0.619554i | \(0.212687\pi\) | |||||||
\(692\) | 3.83938 | − | 26.7034i | 0.145951 | − | 1.01511i | ||||
\(693\) | −6.80258 | − | 0.787498i | −0.258409 | − | 0.0299146i | ||||
\(694\) | 2.95399 | + | 0.867370i | 0.112132 | + | 0.0329249i | ||||
\(695\) | −5.75187 | + | 1.10858i | −0.218181 | + | 0.0420509i | ||||
\(696\) | 1.46145 | + | 1.39349i | 0.0553959 | + | 0.0528199i | ||||
\(697\) | −0.455362 | + | 9.55923i | −0.0172481 | + | 0.362082i | ||||
\(698\) | 35.5256 | + | 49.8888i | 1.34467 | + | 1.88832i | ||||
\(699\) | −26.0453 | + | 30.0579i | −0.985124 | + | 1.13689i | ||||
\(700\) | −6.53698 | − | 3.53772i | −0.247075 | − | 0.133713i | ||||
\(701\) | 4.46063 | + | 31.0244i | 0.168476 | + | 1.17178i | 0.882036 | + | 0.471182i | \(0.156172\pi\) |
−0.713560 | + | 0.700594i | \(0.752919\pi\) | |||||||
\(702\) | −30.7086 | − | 12.2939i | −1.15902 | − | 0.464002i | ||||
\(703\) | 5.11588 | + | 2.63742i | 0.192949 | + | 0.0994721i | ||||
\(704\) | −48.2889 | − | 9.30693i | −1.81996 | − | 0.350768i | ||||
\(705\) | 0.219562 | + | 0.308332i | 0.00826919 | + | 0.0116125i | ||||
\(706\) | 35.4970 | + | 22.8126i | 1.33595 | + | 0.858562i | ||||
\(707\) | 19.9547 | − | 5.42709i | 0.750474 | − | 0.204107i | ||||
\(708\) | 1.57941 | + | 1.82273i | 0.0593578 | + | 0.0685025i | ||||
\(709\) | −2.52013 | + | 2.40294i | −0.0946456 | + | 0.0902444i | −0.735925 | − | 0.677063i | \(-0.763252\pi\) |
0.641279 | + | 0.767307i | \(0.278404\pi\) | |||||||
\(710\) | −16.9099 | + | 23.7466i | −0.634617 | + | 0.891195i | ||||
\(711\) | 4.65833 | − | 1.86491i | 0.174701 | − | 0.0699397i | ||||
\(712\) | −0.320174 | + | 0.554558i | −0.0119990 | + | 0.0207829i | ||||
\(713\) | 0.488877 | − | 0.211838i | 0.0183086 | − | 0.00793341i | ||||
\(714\) | −58.4400 | − | 1.17198i | −2.18706 | − | 0.0438604i | ||||
\(715\) | −4.52330 | + | 31.4602i | −0.169162 | + | 1.17655i | ||||
\(716\) | −12.8473 | − | 1.22677i | −0.480126 | − | 0.0458465i | ||||
\(717\) | −4.19361 | − | 17.2863i | −0.156613 | − | 0.645568i | ||||
\(718\) | −5.24188 | + | 15.1454i | −0.195625 | + | 0.565222i | ||||
\(719\) | −8.11145 | + | 33.4358i | −0.302506 | + | 1.24695i | 0.594199 | + | 0.804318i | \(0.297469\pi\) |
−0.896705 | + | 0.442628i | \(0.854046\pi\) | |||||||
\(720\) | −2.81810 | − | 1.81109i | −0.105025 | − | 0.0674952i | ||||
\(721\) | −40.1870 | + | 3.02567i | −1.49664 | + | 0.112682i | ||||
\(722\) | −3.41116 | + | 3.93669i | −0.126950 | + | 0.146509i | ||||
\(723\) | 0.587068 | + | 12.3241i | 0.0218333 | + | 0.458337i | ||||
\(724\) | 22.5035 | − | 17.6970i | 0.836338 | − | 0.657703i | ||||
\(725\) | −6.65835 | + | 5.23618i | −0.247285 | + | 0.194467i | ||||
\(726\) | −3.13684 | − | 65.8503i | −0.116419 | − | 2.44394i | ||||
\(727\) | 20.1316 | − | 23.2331i | 0.746640 | − | 0.861668i | −0.247598 | − | 0.968863i | \(-0.579641\pi\) |
0.994238 | + | 0.107195i | \(0.0341868\pi\) | |||||||
\(728\) | −0.884699 | − | 1.29664i | −0.0327891 | − | 0.0480568i | ||||
\(729\) | 25.0506 | + | 16.0990i | 0.927799 | + | 0.596260i | ||||
\(730\) | 7.25928 | − | 29.9232i | 0.268678 | − | 1.10751i | ||||
\(731\) | 20.5094 | − | 59.2580i | 0.758568 | − | 2.19174i | ||||
\(732\) | 6.12999 | + | 25.2682i | 0.226571 | + | 0.933938i | ||||
\(733\) | 24.2858 | + | 2.31901i | 0.897016 | + | 0.0856547i | 0.533370 | − | 0.845882i | \(-0.320925\pi\) |
0.363647 | + | 0.931537i | \(0.381532\pi\) | |||||||
\(734\) | −5.84915 | + | 40.6817i | −0.215896 | + | 1.50159i | ||||
\(735\) | 9.92075 | + | 18.8945i | 0.365932 | + | 0.696932i | ||||
\(736\) | −38.4490 | + | 4.76472i | −1.41725 | + | 0.175630i | ||||
\(737\) | −5.58055 | + | 9.66580i | −0.205562 | + | 0.356044i | ||||
\(738\) | 1.21233 | − | 0.485346i | 0.0446267 | − | 0.0178658i | ||||
\(739\) | 8.14208 | − | 11.4339i | 0.299511 | − | 0.420605i | −0.637205 | − | 0.770694i | \(-0.719910\pi\) |
0.936716 | + | 0.350090i | \(0.113849\pi\) | |||||||
\(740\) | 4.12785 | − | 3.93590i | 0.151743 | − | 0.144686i | ||||
\(741\) | 12.5272 | + | 14.4572i | 0.460199 | + | 0.531098i | ||||
\(742\) | 9.08924 | − | 34.4373i | 0.333676 | − | 1.26423i | ||||
\(743\) | −17.7187 | − | 11.3871i | −0.650038 | − | 0.417754i | 0.173642 | − | 0.984809i | \(-0.444446\pi\) |
−0.823680 | + | 0.567055i | \(0.808083\pi\) | |||||||
\(744\) | −0.0205623 | − | 0.0288757i | −0.000753850 | − | 0.00105863i | ||||
\(745\) | −28.9959 | − | 5.58851i | −1.06233 | − | 0.204747i | ||||
\(746\) | −12.2522 | − | 6.31647i | −0.448587 | − | 0.231263i | ||||
\(747\) | −6.80088 | − | 2.72266i | −0.248831 | − | 0.0996170i | ||||
\(748\) | 11.4712 | + | 79.7840i | 0.419429 | + | 2.91719i | ||||
\(749\) | 9.25284 | + | 5.00750i | 0.338091 | + | 0.182970i | ||||
\(750\) | 25.6199 | − | 29.5669i | 0.935507 | − | 1.07963i | ||||
\(751\) | 17.9622 | + | 25.2244i | 0.655451 | + | 0.920452i | 0.999831 | − | 0.0183786i | \(-0.00585041\pi\) |
−0.344380 | + | 0.938830i | \(0.611911\pi\) | |||||||
\(752\) | 0.0224043 | − | 0.470324i | 0.000817001 | − | 0.0171510i | ||||
\(753\) | 26.3504 | + | 25.1251i | 0.960264 | + | 0.915609i | ||||
\(754\) | −37.2705 | + | 7.18330i | −1.35731 | + | 0.261601i | ||||
\(755\) | 18.7024 | + | 5.49151i | 0.680649 | + | 0.199857i | ||||
\(756\) | 12.1617 | + | 28.1087i | 0.442318 | + | 1.02230i | ||||
\(757\) | 0.683002 | − | 4.75038i | 0.0248241 | − | 0.172656i | −0.973638 | − | 0.228100i | \(-0.926749\pi\) |
0.998462 | + | 0.0554447i | \(0.0176577\pi\) | |||||||
\(758\) | −35.2435 | + | 61.0436i | −1.28010 | + | 2.21720i | ||||
\(759\) | −15.1440 | − | 40.0761i | −0.549691 | − | 1.45467i | ||||
\(760\) | −0.776611 | − | 1.34513i | −0.0281707 | − | 0.0487930i | ||||
\(761\) | −2.31107 | − | 1.81745i | −0.0837763 | − | 0.0658824i | 0.575392 | − | 0.817877i | \(-0.304849\pi\) |
−0.659169 | + | 0.751995i | \(0.729092\pi\) | |||||||
\(762\) | 1.93704 | + | 4.24153i | 0.0701716 | + | 0.153654i | ||||
\(763\) | 2.02931 | + | 0.640327i | 0.0734660 | + | 0.0231814i | ||||
\(764\) | 24.4519 | + | 28.2189i | 0.884637 | + | 1.02093i | ||||
\(765\) | −1.42634 | + | 5.87945i | −0.0515694 | + | 0.212572i | ||||
\(766\) | 1.75879 | − | 36.9215i | 0.0635476 | − | 1.33403i | ||||
\(767\) | −2.12690 | + | 0.203095i | −0.0767980 | + | 0.00733332i | ||||
\(768\) | −7.45262 | − | 21.5329i | −0.268923 | − | 0.777003i | ||||
\(769\) | 20.9764 | − | 13.4807i | 0.756428 | − | 0.486127i | −0.104707 | − | 0.994503i | \(-0.533391\pi\) |
0.861135 | + | 0.508376i | \(0.169754\pi\) | |||||||
\(770\) | 45.8777 | − | 34.6127i | 1.65332 | − | 1.24736i | ||||
\(771\) | 2.36758 | + | 16.4669i | 0.0852662 | + | 0.593040i | ||||
\(772\) | 0.839732 | + | 17.6281i | 0.0302226 | + | 0.634451i | ||||
\(773\) | −18.1873 | − | 3.50531i | −0.654150 | − | 0.126077i | −0.148631 | − | 0.988893i | \(-0.547487\pi\) |
−0.505519 | + | 0.862816i | \(0.668699\pi\) | |||||||
\(774\) | −8.51787 | + | 0.813358i | −0.306169 | + | 0.0292356i | ||||
\(775\) | 0.132170 | − | 0.0681384i | 0.00474769 | − | 0.00244760i | ||||
\(776\) | 1.22333 | − | 0.359203i | 0.0439151 | − | 0.0128946i | ||||
\(777\) | 5.89947 | − | 1.01480i | 0.211642 | − | 0.0364056i | ||||
\(778\) | 43.1401 | + | 12.6671i | 1.54665 | + | 0.454137i | ||||
\(779\) | −5.63754 | − | 0.538319i | −0.201986 | − | 0.0192873i | ||||
\(780\) | 17.5984 | − | 7.04532i | 0.630123 | − | 0.252263i | ||||
\(781\) | 21.0961 | + | 36.5395i | 0.754877 | + | 1.30749i | ||||
\(782\) | 29.3143 | + | 59.6924i | 1.04828 | + | 2.13460i | ||||
\(783\) | 34.9029 | 1.24733 | ||||||||
\(784\) | 4.82844 | − | 26.1038i | 0.172444 | − | 0.932279i | ||||
\(785\) | 4.57909 | + | 10.0268i | 0.163435 | + | 0.357872i | ||||
\(786\) | −18.9207 | + | 18.0408i | −0.674879 | + | 0.643495i | ||||
\(787\) | −6.26348 | + | 18.0971i | −0.223269 | + | 0.645094i | 0.776617 | + | 0.629974i | \(0.216934\pi\) |
−0.999886 | + | 0.0151201i | \(0.995187\pi\) | |||||||
\(788\) | 2.03880 | + | 1.94399i | 0.0726293 | + | 0.0692519i | ||||
\(789\) | 11.7371 | − | 6.05091i | 0.417853 | − | 0.215418i | ||||
\(790\) | −17.4932 | + | 38.3048i | −0.622380 | + | 1.36282i | ||||
\(791\) | −0.292957 | − | 0.904742i | −0.0104163 | − | 0.0321689i | ||||
\(792\) | 0.436078 | − | 0.280250i | 0.0154954 | − | 0.00995826i | ||||
\(793\) | −21.3838 | − | 8.56079i | −0.759361 | − | 0.304002i | ||||
\(794\) | 1.24289 | − | 0.977422i | 0.0441086 | − | 0.0346874i | ||||
\(795\) | 18.0177 | + | 9.28875i | 0.639021 | + | 0.329438i | ||||
\(796\) | −2.72283 | − | 7.86710i | −0.0965082 | − | 0.278842i | ||||
\(797\) | 19.5677 | − | 42.8473i | 0.693124 | − | 1.51773i | −0.154990 | − | 0.987916i | \(-0.549535\pi\) |
0.848114 | − | 0.529814i | \(-0.177738\pi\) | |||||||
\(798\) | 2.33824 | − | 34.5102i | 0.0827729 | − | 1.22165i | ||||
\(799\) | −0.815936 | + | 0.239580i | −0.0288657 | + | 0.00847574i | ||||
\(800\) | −10.6175 | + | 2.04636i | −0.375385 | + | 0.0723496i | ||||
\(801\) | 0.347977 | + | 1.43438i | 0.0122952 | + | 0.0506813i | ||||
\(802\) | 15.7719 | − | 22.1485i | 0.556924 | − | 0.782090i | ||||
\(803\) | −35.0299 | − | 27.5478i | −1.23618 | − | 0.972141i | ||||
\(804\) | 6.65662 | 0.234761 | ||||||||
\(805\) | 13.9241 | − | 19.8903i | 0.490760 | − | 0.701041i | ||||
\(806\) | 0.666320 | 0.0234701 | ||||||||
\(807\) | 2.96179 | + | 2.32917i | 0.104260 | + | 0.0819908i | ||||
\(808\) | −0.907997 | + | 1.27510i | −0.0319432 | + | 0.0448580i | ||||
\(809\) | −3.40924 | − | 14.0531i | −0.119862 | − | 0.494079i | −0.999819 | − | 0.0190254i | \(-0.993944\pi\) |
0.879957 | − | 0.475054i | \(-0.157571\pi\) | |||||||
\(810\) | −28.1577 | + | 5.42694i | −0.989359 | + | 0.190683i | ||||
\(811\) | 33.3031 | − | 9.77866i | 1.16943 | − | 0.343375i | 0.361339 | − | 0.932435i | \(-0.382320\pi\) |
0.808090 | + | 0.589059i | \(0.200502\pi\) | |||||||
\(812\) | 29.1779 | + | 19.5891i | 1.02394 | + | 0.687444i | ||||
\(813\) | −14.1399 | + | 30.9621i | −0.495909 | + | 1.08589i | ||||
\(814\) | −5.27252 | − | 15.2339i | −0.184802 | − | 0.533949i | ||||
\(815\) | 27.7596 | + | 14.3111i | 0.972377 | + | 0.501295i | ||||
\(816\) | −32.5295 | + | 25.5814i | −1.13876 | + | 0.895530i | ||||
\(817\) | 34.4493 | + | 13.7914i | 1.20523 | + | 0.482500i | ||||
\(818\) | 15.2046 | − | 9.77137i | 0.531615 | − | 0.341648i | ||||
\(819\) | −3.53830 | − | 0.755833i | −0.123638 | − | 0.0264109i | ||||
\(820\) | −2.33125 | + | 5.10472i | −0.0814107 | + | 0.178265i | ||||
\(821\) | 17.0248 | − | 8.77688i | 0.594169 | − | 0.306315i | −0.134789 | − | 0.990874i | \(-0.543036\pi\) |
0.728957 | + | 0.684559i | \(0.240005\pi\) | |||||||
\(822\) | 30.1252 | + | 28.7244i | 1.05074 | + | 1.00188i | ||||
\(823\) | −15.1408 | + | 43.7464i | −0.527774 | + | 1.52490i | 0.294409 | + | 0.955680i | \(0.404877\pi\) |
−0.822183 | + | 0.569224i | \(0.807244\pi\) | |||||||
\(824\) | 2.20783 | − | 2.10516i | 0.0769133 | − | 0.0733367i | ||||
\(825\) | −4.96705 | − | 10.8763i | −0.172931 | − | 0.378665i | ||||
\(826\) | 2.98824 | + | 2.44852i | 0.103974 | + | 0.0851950i | ||||
\(827\) | −17.9742 | −0.625025 | −0.312513 | − | 0.949914i | \(-0.601171\pi\) | ||||
−0.312513 | + | 0.949914i | \(0.601171\pi\) | |||||||
\(828\) | 2.94312 | − | 3.59586i | 0.102280 | − | 0.124965i | ||||
\(829\) | −4.15624 | − | 7.19881i | −0.144352 | − | 0.250025i | 0.784779 | − | 0.619776i | \(-0.212776\pi\) |
−0.929131 | + | 0.369751i | \(0.879443\pi\) | |||||||
\(830\) | 57.0746 | − | 22.8492i | 1.98109 | − | 0.793108i | ||||
\(831\) | −32.9107 | − | 3.14259i | −1.14166 | − | 0.109015i | ||||
\(832\) | −24.9304 | − | 7.32023i | −0.864307 | − | 0.253783i | ||||
\(833\) | −47.4035 | + | 7.17868i | −1.64243 | + | 0.248727i | ||||
\(834\) | 9.47443 | − | 2.78194i | 0.328073 | − | 0.0963308i | ||||
\(835\) | 27.4742 | − | 14.1639i | 0.950784 | − | 0.490163i | ||||
\(836\) | −47.4824 | + | 4.53402i | −1.64221 | + | 0.156812i | ||||
\(837\) | −0.601642 | − | 0.115957i | −0.0207958 | − | 0.00400806i | ||||
\(838\) | 1.10193 | + | 23.1323i | 0.0380655 | + | 0.799093i | ||||
\(839\) | −4.37397 | − | 30.4216i | −0.151006 | − | 1.05027i | −0.914538 | − | 0.404500i | \(-0.867445\pi\) |
0.763532 | − | 0.645770i | \(-0.223464\pi\) | |||||||
\(840\) | −1.48735 | − | 0.630332i | −0.0513183 | − | 0.0217485i | ||||
\(841\) | 9.29619 | − | 5.97430i | 0.320558 | − | 0.206010i | ||||
\(842\) | 1.96585 | + | 5.67994i | 0.0677475 | + | 0.195744i | ||||
\(843\) | −24.8559 | + | 2.37345i | −0.856083 | + | 0.0817460i | ||||
\(844\) | 1.45544 | − | 30.5535i | 0.0500984 | − | 1.05169i | ||||
\(845\) | 1.90558 | − | 7.85490i | 0.0655539 | − | 0.270217i | ||||
\(846\) | 0.0759889 | + | 0.0876959i | 0.00261255 | + | 0.00301505i | ||||
\(847\) | −11.6922 | − | 52.7945i | −0.401747 | − | 1.81404i | ||||
\(848\) | −10.4752 | − | 22.9375i | −0.359719 | − | 0.787675i | ||||
\(849\) | 5.47790 | + | 4.30787i | 0.188001 | + | 0.147846i | ||||
\(850\) | 9.28008 | + | 16.0736i | 0.318304 | + | 0.551319i | ||||
\(851\) | −4.10479 | − | 5.43454i | −0.140710 | − | 0.186294i | ||||
\(852\) | 12.5820 | − | 21.7926i | 0.431051 | − | 0.746602i | ||||
\(853\) | −0.172607 | + | 1.20051i | −0.00590996 | + | 0.0411047i | −0.992563 | − | 0.121732i | \(-0.961155\pi\) |
0.986653 | + | 0.162837i | \(0.0520643\pi\) | |||||||
\(854\) | 16.5384 | + | 38.2243i | 0.565933 | + | 1.30801i | ||||
\(855\) | −3.43512 | − | 1.00864i | −0.117479 | − | 0.0344948i | ||||
\(856\) | −0.782001 | + | 0.150718i | −0.0267282 | + | 0.00515145i | ||||
\(857\) | −18.7677 | − | 17.8950i | −0.641094 | − | 0.611282i | 0.298156 | − | 0.954517i | \(-0.403629\pi\) |
−0.939249 | + | 0.343236i | \(0.888477\pi\) | |||||||
\(858\) | 2.54935 | − | 53.5174i | 0.0870333 | − | 1.82705i | ||||
\(859\) | −24.2161 | − | 34.0068i | −0.826244 | − | 1.16030i | −0.984928 | − | 0.172967i | \(-0.944665\pi\) |
0.158684 | − | 0.987329i | \(-0.449275\pi\) | |||||||
\(860\) | 24.0799 | − | 27.7897i | 0.821118 | − | 0.947621i | ||||
\(861\) | −5.01773 | + | 3.08432i | −0.171004 | + | 0.105113i | ||||
\(862\) | −0.990279 | − | 6.88754i | −0.0337290 | − | 0.234591i | ||||
\(863\) | 31.1003 | + | 12.4507i | 1.05867 | + | 0.423826i | 0.834663 | − | 0.550762i | \(-0.185663\pi\) |
0.224005 | + | 0.974588i | \(0.428087\pi\) | |||||||
\(864\) | 39.6014 | + | 20.4159i | 1.34727 | + | 0.694564i | ||||
\(865\) | 24.1504 | + | 4.65462i | 0.821140 | + | 0.158262i | ||||
\(866\) | −3.77799 | − | 5.30545i | −0.128381 | − | 0.180287i | ||||
\(867\) | 40.0895 | + | 25.7640i | 1.36151 | + | 0.874991i | ||||
\(868\) | −0.437877 | − | 0.434607i | −0.0148625 | − | 0.0147515i | ||||
\(869\) | 39.9115 | + | 46.0603i | 1.35390 | + | 1.56249i | ||||
\(870\) | −28.2700 | + | 26.9554i | −0.958443 | + | 0.913874i | ||||
\(871\) | −3.42057 | + | 4.80351i | −0.115901 | + | 0.162761i | ||||
\(872\) | −0.149538 | + | 0.0598661i | −0.00506401 | + | 0.00202732i | ||||
\(873\) | 1.46940 | − | 2.54507i | 0.0497316 | − | 0.0861376i | ||||
\(874\) | −36.1089 | + | 15.6466i | −1.22140 | + | 0.529254i | ||||
\(875\) | 16.5988 | − | 27.4631i | 0.561142 | − | 0.928424i | ||||
\(876\) | −3.78255 | + | 26.3082i | −0.127800 | + | 0.888871i | ||||
\(877\) | 54.0876 | + | 5.16474i | 1.82641 | + | 0.174401i | 0.951043 | − | 0.309059i | \(-0.100014\pi\) |
0.875367 | + | 0.483460i | \(0.160620\pi\) | |||||||
\(878\) | −5.92805 | − | 24.4357i | −0.200062 | − | 0.824667i | ||||
\(879\) | 16.5124 | − | 47.7095i | 0.556950 | − | 1.60920i | ||||
\(880\) | 9.59262 | − | 39.5413i | 0.323367 | − | 1.33294i | ||||
\(881\) | 35.9891 | + | 23.1288i | 1.21250 | + | 0.779228i | 0.981076 | − | 0.193624i | \(-0.0620241\pi\) |
0.231427 | + | 0.972852i | \(0.425660\pi\) | |||||||
\(882\) | 3.57811 | + | 5.47694i | 0.120481 | + | 0.184418i | ||||
\(883\) | −16.3458 | + | 18.8640i | −0.550080 | + | 0.634826i | −0.960902 | − | 0.276890i | \(-0.910696\pi\) |
0.410822 | + | 0.911716i | \(0.365242\pi\) | |||||||
\(884\) | 2.02638 | + | 42.5390i | 0.0681546 | + | 1.43074i | ||||
\(885\) | −1.72835 | + | 1.35919i | −0.0580979 | + | 0.0456887i | ||||
\(886\) | −13.9949 | + | 11.0057i | −0.470169 | + | 0.369745i | ||||
\(887\) | 0.0629352 | + | 1.32117i | 0.00211316 | + | 0.0443606i | 0.999678 | − | 0.0253899i | \(-0.00808272\pi\) |
−0.997564 | + | 0.0697505i | \(0.977780\pi\) | |||||||
\(888\) | −0.296734 | + | 0.342449i | −0.00995773 | + | 0.0114918i | ||||
\(889\) | 2.15561 | + | 3.15933i | 0.0722968 | + | 0.105961i | ||||
\(890\) | −10.4204 | − | 6.69682i | −0.349294 | − | 0.224478i | ||||
\(891\) | −9.78467 | + | 40.3330i | −0.327799 | + | 1.35121i | ||||
\(892\) | −6.00616 | + | 17.3537i | −0.201101 | + | 0.581044i | ||||
\(893\) | −0.118639 | − | 0.489036i | −0.00397010 | − | 0.0163650i | ||||
\(894\) | 49.5528 | + | 4.73172i | 1.65729 | + | 0.158252i | ||||
\(895\) | 1.67443 | − | 11.6459i | 0.0559701 | − | 0.389281i | ||||
\(896\) | 2.04295 | + | 3.70828i | 0.0682503 | + | 0.123885i | ||||
\(897\) | −5.95233 | − | 21.8388i | −0.198743 | − | 0.729177i | ||||
\(898\) | 0.144754 | − | 0.250722i | 0.00483051 | − | 0.00836669i | ||||
\(899\) | −0.652716 | + | 0.261308i | −0.0217693 | + | 0.00871511i | ||||
\(900\) | 0.752257 | − | 1.05640i | 0.0250752 | − | 0.0352132i | ||||
\(901\) | −32.9597 | + | 31.4270i | −1.09805 | + | 1.04699i | ||||
\(902\) | 10.3870 | + | 11.9872i | 0.345849 | + | 0.399132i | ||||
\(903\) | 37.2401 | − | 10.1282i | 1.23927 | − | 0.337045i | ||||
\(904\) | 0.0605586 | + | 0.0389186i | 0.00201415 | + | 0.00129441i | ||||
\(905\) | 15.1392 | + | 21.2601i | 0.503246 | + | 0.706710i | ||||
\(906\) | −32.2639 | − | 6.21836i | −1.07190 | − | 0.206591i | ||||
\(907\) | −33.2810 | − | 17.1576i | −1.10508 | − | 0.569707i | −0.193610 | − | 0.981079i | \(-0.562020\pi\) |
−0.911468 | + | 0.411371i | \(0.865050\pi\) | |||||||
\(908\) | −45.2715 | − | 18.1240i | −1.50239 | − | 0.601465i | ||||
\(909\) | 0.513488 | + | 3.57139i | 0.0170313 | + | 0.118455i | ||||
\(910\) | 25.8680 | − | 15.9007i | 0.857516 | − | 0.527102i | ||||
\(911\) | −19.8686 | + | 22.9296i | −0.658275 | + | 0.759690i | −0.982494 | − | 0.186292i | \(-0.940353\pi\) |
0.324219 | + | 0.945982i | \(0.394898\pi\) | |||||||
\(912\) | −14.2050 | − | 19.9481i | −0.470374 | − | 0.660547i | ||||
\(913\) | 4.23376 | − | 88.8775i | 0.140117 | − | 2.94142i | ||||
\(914\) | −0.114913 | − | 0.109570i | −0.00380100 | − | 0.00362425i | ||||
\(915\) | −23.2759 | + | 4.48606i | −0.769477 | + | 0.148305i | ||||
\(916\) | 26.9827 | + | 7.92283i | 0.891533 | + | 0.261778i | ||||
\(917\) | −12.7861 | + | 17.2144i | −0.422235 | + | 0.568469i | ||||
\(918\) | 10.8838 | − | 75.6982i | 0.359217 | − | 2.49841i | ||||
\(919\) | −15.4997 | + | 26.8462i | −0.511287 | + | 0.885576i | 0.488627 | + | 0.872493i | \(0.337498\pi\) |
−0.999914 | + | 0.0130829i | \(0.995835\pi\) | |||||||
\(920\) | 0.138985 | + | 1.83262i | 0.00458218 | + | 0.0604196i | ||||
\(921\) | 12.5834 | + | 21.7950i | 0.414636 | + | 0.718171i | ||||
\(922\) | −17.1015 | − | 13.4488i | −0.563210 | − | 0.442913i | ||||
\(923\) | 9.26049 | + | 20.2776i | 0.304813 | + | 0.667447i | ||||
\(924\) | −36.5820 | + | 33.5066i | −1.20346 | + | 1.10229i | ||||
\(925\) | −1.24474 | − | 1.43651i | −0.0409268 | − | 0.0472320i | ||||
\(926\) | −12.7513 | + | 52.5616i | −0.419034 | + | 1.72728i | ||||
\(927\) | 0.334575 | − | 7.02360i | 0.0109889 | − | 0.230685i | ||||
\(928\) | 50.8936 | − | 4.85975i | 1.67067 | − | 0.159529i | ||||
\(929\) | −5.25484 | − | 15.1829i | −0.172406 | − | 0.498134i | 0.825385 | − | 0.564570i | \(-0.190958\pi\) |
−0.997791 | + | 0.0664368i | \(0.978837\pi\) | |||||||
\(930\) | 0.576861 | − | 0.370726i | 0.0189160 | − | 0.0121566i | ||||
\(931\) | −2.90850 | − | 28.2218i | −0.0953222 | − | 0.924932i | ||||
\(932\) | −7.45673 | − | 51.8627i | −0.244253 | − | 1.69882i | ||||
\(933\) | −1.92554 | − | 40.4221i | −0.0630395 | − | 1.32336i | ||||
\(934\) | 66.3384 | + | 12.7857i | 2.17066 | + | 0.418360i | ||||
\(935\) | −73.1514 | + | 6.98511i | −2.39231 | + | 0.228438i | ||||
\(936\) | 0.243433 | − | 0.125498i | 0.00795685 | − | 0.00410204i | ||||
\(937\) | −44.0482 | + | 12.9337i | −1.43899 | + | 0.422527i | −0.905886 | − | 0.423521i | \(-0.860794\pi\) |
−0.533107 | + | 0.846048i | \(0.678976\pi\) | |||||||
\(938\) | 10.5083 | − | 1.80758i | 0.343108 | − | 0.0590196i | ||||
\(939\) | 5.94164 | + | 1.74462i | 0.193898 | + | 0.0569336i | ||||
\(940\) | −0.496403 | − | 0.0474007i | −0.0161909 | − | 0.00154604i | ||||
\(941\) | −37.5919 | + | 15.0495i | −1.22546 | + | 0.490601i | −0.891945 | − | 0.452143i | \(-0.850660\pi\) |
−0.333517 | + | 0.942744i | \(0.608235\pi\) | |||||||
\(942\) | −9.29072 | − | 16.0920i | −0.302708 | − | 0.524306i | ||||
\(943\) | 5.73683 | + | 3.46308i | 0.186817 | + | 0.112773i | ||||
\(944\) | 2.73516 | 0.0890218 | ||||||||
\(945\) | −26.1242 | + | 9.85553i | −0.849821 | + | 0.320600i | ||||
\(946\) | −43.1741 | − | 94.5381i | −1.40371 | − | 3.07370i | ||||
\(947\) | −4.85074 | + | 4.62517i | −0.157628 | + | 0.150298i | −0.764789 | − | 0.644281i | \(-0.777157\pi\) |
0.607161 | + | 0.794579i | \(0.292308\pi\) | |||||||
\(948\) | 11.8887 | − | 34.3501i | 0.386126 | − | 1.11564i | ||||
\(949\) | −17.0407 | − | 16.2482i | −0.553163 | − | 0.527440i | ||||
\(950\) | −9.76221 | + | 5.03277i | −0.316728 | + | 0.163285i | ||||
\(951\) | −20.5866 | + | 45.0783i | −0.667565 | + | 1.46176i | ||||
\(952\) | 2.43111 | − | 2.69454i | 0.0787929 | − | 0.0873305i | ||||
\(953\) | −4.30546 | + | 2.76695i | −0.139467 | + | 0.0896303i | −0.608514 | − | 0.793543i | \(-0.708234\pi\) |
0.469046 | + | 0.883173i | \(0.344598\pi\) | |||||||
\(954\) | 5.76915 | + | 2.30962i | 0.186783 | + | 0.0747766i | ||||
\(955\) | −26.7577 | + | 21.0425i | −0.865860 | + | 0.680920i | ||||
\(956\) | 20.8286 | + | 10.7379i | 0.673644 | + | 0.347287i | ||||
\(957\) | 18.4904 | + | 53.4245i | 0.597710 | + | 1.72697i | ||||
\(958\) | −27.7016 | + | 60.6580i | −0.894998 | + | 1.95977i | ||||
\(959\) | 28.3461 | + | 19.0307i | 0.915344 | + | 0.614533i | ||||
\(960\) | −25.6561 | + | 7.53332i | −0.828048 | + | 0.243137i | ||||
\(961\) | −30.4277 | + | 5.86445i | −0.981538 | + | 0.189176i | ||||
\(962\) | −2.00802 | − | 8.27717i | −0.0647412 | − | 0.266867i | ||||
\(963\) | −1.06479 | + | 1.49529i | −0.0343124 | + | 0.0481850i | ||||
\(964\) | −12.7766 | − | 10.0476i | −0.411507 | − | 0.323613i | ||||
\(965\) | −16.0892 | −0.517929 | ||||||||
\(966\) | −20.1785 | + | 35.6086i | −0.649233 | + | 1.14569i | ||||
\(967\) | 45.3348 | 1.45787 | 0.728935 | − | 0.684583i | \(-0.240016\pi\) | ||||
0.728935 | + | 0.684583i | \(0.240016\pi\) | |||||||
\(968\) | 3.21745 | + | 2.53023i | 0.103413 | + | 0.0813246i | ||||
\(969\) | −25.6546 | + | 36.0268i | −0.824144 | + | 1.15735i | ||||
\(970\) | 5.81453 | + | 23.9678i | 0.186693 | + | 0.769561i | ||||
\(971\) | −51.6630 | + | 9.95723i | −1.65795 | + | 0.319543i | −0.930408 | − | 0.366525i | \(-0.880547\pi\) |
−0.727537 | + | 0.686068i | \(0.759335\pi\) | |||||||
\(972\) | −9.57074 | + | 2.81022i | −0.306982 | + | 0.0901380i | ||||
\(973\) | 7.27191 | − | 3.56623i | 0.233127 | − | 0.114328i | ||||
\(974\) | −13.4523 | + | 29.4564i | −0.431039 | + | 0.943843i | ||||
\(975\) | −2.06621 | − | 5.96992i | −0.0661717 | − | 0.191191i | ||||
\(976\) | 26.2090 | + | 13.5117i | 0.838929 | + | 0.432498i | ||||
\(977\) | 45.2634 | − | 35.5955i | 1.44810 | − | 1.13880i | 0.483422 | − | 0.875388i | \(-0.339394\pi\) |
0.964683 | − | 0.263414i | \(-0.0848486\pi\) | |||||||
\(978\) | −48.8758 | − | 19.5669i | −1.56288 | − | 0.625681i | ||||
\(979\) | −15.0816 | + | 9.69237i | −0.482011 | + | 0.309769i | ||||
\(980\) | −27.3706 | − | 6.42317i | −0.874321 | − | 0.205181i | ||||
\(981\) | −0.154234 | + | 0.337726i | −0.00492432 | + | 0.0107828i | ||||
\(982\) | 67.2904 | − | 34.6906i | 2.14732 | − | 1.10702i | ||||
\(983\) | 4.78729 | + | 4.56467i | 0.152691 | + | 0.145590i | 0.762574 | − | 0.646901i | \(-0.223935\pi\) |
−0.609883 | + | 0.792491i | \(0.708784\pi\) | |||||||
\(984\) | 0.145820 | − | 0.421320i | 0.00464858 | − | 0.0134312i | ||||
\(985\) | −1.85870 | + | 1.77227i | −0.0592231 | + | 0.0564691i | ||||
\(986\) | −36.4549 | − | 79.8252i | −1.16096 | − | 2.54215i | ||||
\(987\) | −0.404824 | − | 0.331707i | −0.0128857 | − | 0.0105583i | ||||
\(988\) | −25.2014 | −0.801762 | ||||||||
\(989\) | −29.6744 | − | 32.3626i | −0.943591 | − | 1.02907i | ||||
\(990\) | 5.01361 | + | 8.68383i | 0.159343 | + | 0.275990i | ||||
\(991\) | −31.7844 | + | 12.7246i | −1.00967 | + | 0.404209i | −0.816741 | − | 0.577004i | \(-0.804222\pi\) |
−0.192925 | + | 0.981214i | \(0.561797\pi\) | |||||||
\(992\) | −0.893430 | − | 0.0853122i | −0.0283664 | − | 0.00270867i | ||||
\(993\) | 32.7525 | + | 9.61699i | 1.03937 | + | 0.305186i | ||||
\(994\) | 13.9445 | − | 37.8188i | 0.442291 | − | 1.19954i | ||||
\(995\) | 7.28214 | − | 2.13823i | 0.230859 | − | 0.0677864i | ||||
\(996\) | −47.1685 | + | 24.3171i | −1.49459 | + | 0.770516i | ||||
\(997\) | −9.55200 | + | 0.912106i | −0.302515 | + | 0.0288867i | −0.245210 | − | 0.969470i | \(-0.578857\pi\) |
−0.0573051 | + | 0.998357i | \(0.518251\pi\) | |||||||
\(998\) | 6.86143 | + | 1.32243i | 0.217195 | + | 0.0418609i | ||||
\(999\) | 0.372664 | + | 7.82319i | 0.0117906 | + | 0.247515i |
(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 | 161.2.m.a.100.13 | yes | 280 | |
7.4 | even | 3 | inner | 161.2.m.a.123.2 | yes | 280 | |
23.3 | even | 11 | inner | 161.2.m.a.72.2 | ✓ | 280 | |
161.95 | even | 33 | inner | 161.2.m.a.95.13 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
161.2.m.a.72.2 | ✓ | 280 | 23.3 | even | 11 | inner | |
161.2.m.a.95.13 | yes | 280 | 161.95 | even | 33 | inner | |
161.2.m.a.100.13 | yes | 280 | 1.1 | even | 1 | trivial | |
161.2.m.a.123.2 | yes | 280 | 7.4 | even | 3 | inner |