Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 7 x^{19} + 24 x^{18} - 70 x^{17} + 209 x^{16} - 527 x^{15} + 1115 x^{14} - 2187 x^{13} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 64.1 | ||
Root | \(1.05639 + 1.21914i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 69.64 |
Dual form | 69.2.e.c.55.1 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{6}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.90549 | − | 0.559503i | −1.34739 | − | 0.395628i | −0.473087 | − | 0.881016i | \(-0.656860\pi\) |
−0.874299 | + | 0.485387i | \(0.838679\pi\) | |||||||
\(3\) | −0.654861 | + | 0.755750i | −0.378084 | + | 0.436332i | ||||
\(4\) | 1.63535 | + | 1.05098i | 0.817675 | + | 0.525488i | ||||
\(5\) | −0.291446 | + | 2.02705i | −0.130339 | + | 0.906524i | 0.814774 | + | 0.579779i | \(0.196861\pi\) |
−0.945112 | + | 0.326745i | \(0.894048\pi\) | |||||||
\(6\) | 1.67068 | − | 1.07368i | 0.682051 | − | 0.438327i | ||||
\(7\) | 1.34249 | + | 2.93963i | 0.507412 | + | 1.11108i | 0.973989 | + | 0.226597i | \(0.0727599\pi\) |
−0.466577 | + | 0.884481i | \(0.654513\pi\) | |||||||
\(8\) | 0.0729013 | + | 0.0841325i | 0.0257745 | + | 0.0297453i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 1.68949 | − | 3.69946i | 0.534263 | − | 1.16987i | ||||
\(11\) | −1.55951 | + | 0.457915i | −0.470211 | + | 0.138067i | −0.508250 | − | 0.861210i | \(-0.669707\pi\) |
0.0380383 | + | 0.999276i | \(0.487889\pi\) | |||||||
\(12\) | −1.86520 | + | 0.547672i | −0.538437 | + | 0.158099i | ||||
\(13\) | −1.07824 | + | 2.36102i | −0.299050 | + | 0.654829i | −0.998189 | − | 0.0601571i | \(-0.980840\pi\) |
0.699138 | + | 0.714986i | \(0.253567\pi\) | |||||||
\(14\) | −0.913363 | − | 6.35258i | −0.244106 | − | 1.69780i | ||||
\(15\) | −1.34109 | − | 1.54770i | −0.346267 | − | 0.399613i | ||||
\(16\) | −1.70693 | − | 3.73765i | −0.426732 | − | 0.934413i | ||||
\(17\) | 3.90777 | − | 2.51137i | 0.947773 | − | 0.609097i | 0.0271842 | − | 0.999630i | \(-0.491346\pi\) |
0.920589 | + | 0.390534i | \(0.127710\pi\) | |||||||
\(18\) | −0.282628 | + | 1.96572i | −0.0666161 | + | 0.463325i | ||||
\(19\) | −5.38056 | − | 3.45787i | −1.23438 | − | 0.793290i | −0.249816 | − | 0.968293i | \(-0.580370\pi\) |
−0.984568 | + | 0.175003i | \(0.944007\pi\) | |||||||
\(20\) | −2.60700 | + | 3.00863i | −0.582942 | + | 0.672751i | ||||
\(21\) | −3.10077 | − | 0.910468i | −0.676643 | − | 0.198680i | ||||
\(22\) | 3.22785 | 0.688180 | ||||||||
\(23\) | 1.37375 | + | 4.59487i | 0.286446 | + | 0.958096i | ||||
\(24\) | −0.111323 | −0.0227238 | ||||||||
\(25\) | 0.773474 | + | 0.227113i | 0.154695 | + | 0.0454225i | ||||
\(26\) | 3.37558 | − | 3.89563i | 0.662006 | − | 0.763995i | ||||
\(27\) | 0.841254 | + | 0.540641i | 0.161899 | + | 0.104046i | ||||
\(28\) | −0.894050 | + | 6.21825i | −0.168960 | + | 1.17514i | ||||
\(29\) | 6.49822 | − | 4.17615i | 1.20669 | − | 0.775492i | 0.226588 | − | 0.973991i | \(-0.427243\pi\) |
0.980101 | + | 0.198498i | \(0.0636064\pi\) | |||||||
\(30\) | 1.68949 | + | 3.69946i | 0.308457 | + | 0.675426i | ||||
\(31\) | 5.74006 | + | 6.62438i | 1.03094 | + | 1.18977i | 0.981592 | + | 0.190992i | \(0.0611705\pi\) |
0.0493530 | + | 0.998781i | \(0.484284\pi\) | |||||||
\(32\) | 1.12962 | + | 7.85671i | 0.199691 | + | 1.38888i | ||||
\(33\) | 0.675196 | − | 1.47847i | 0.117537 | − | 0.257369i | ||||
\(34\) | −8.85134 | + | 2.59899i | −1.51799 | + | 0.445723i | ||||
\(35\) | −6.35005 | + | 1.86454i | −1.07335 | + | 0.315165i | ||||
\(36\) | 0.807544 | − | 1.76827i | 0.134591 | − | 0.294712i | ||||
\(37\) | −1.13432 | − | 7.88940i | −0.186482 | − | 1.29701i | −0.841030 | − | 0.540989i | \(-0.818050\pi\) |
0.654548 | − | 0.756021i | \(-0.272859\pi\) | |||||||
\(38\) | 8.31792 | + | 9.59939i | 1.34934 | + | 1.55723i | ||||
\(39\) | −1.07824 | − | 2.36102i | −0.172657 | − | 0.378066i | ||||
\(40\) | −0.191788 | + | 0.123254i | −0.0303243 | + | 0.0194882i | ||||
\(41\) | 0.407522 | − | 2.83438i | 0.0636443 | − | 0.442656i | −0.932937 | − | 0.360039i | \(-0.882763\pi\) |
0.996581 | − | 0.0826165i | \(-0.0263277\pi\) | |||||||
\(42\) | 5.39908 | + | 3.46978i | 0.833096 | + | 0.535399i | ||||
\(43\) | 2.44130 | − | 2.81741i | 0.372295 | − | 0.429651i | −0.538427 | − | 0.842672i | \(-0.680981\pi\) |
0.910721 | + | 0.413022i | \(0.135527\pi\) | |||||||
\(44\) | −3.03161 | − | 0.890161i | −0.457032 | − | 0.134197i | ||||
\(45\) | 2.04789 | 0.305282 | ||||||||
\(46\) | −0.0468192 | − | 9.52410i | −0.00690312 | − | 1.40425i | ||||
\(47\) | −8.70030 | −1.26907 | −0.634535 | − | 0.772894i | \(-0.718808\pi\) | ||||
−0.634535 | + | 0.772894i | \(0.718808\pi\) | |||||||
\(48\) | 3.94253 | + | 1.15763i | 0.569055 | + | 0.167090i | ||||
\(49\) | −2.25516 | + | 2.60259i | −0.322166 | + | 0.371799i | ||||
\(50\) | −1.34678 | − | 0.865522i | −0.190463 | − | 0.122403i | ||||
\(51\) | −0.661077 | + | 4.59789i | −0.0925693 | + | 0.643833i | ||||
\(52\) | −4.24468 | + | 2.72789i | −0.588631 | + | 0.378290i | ||||
\(53\) | −0.624559 | − | 1.36759i | −0.0857898 | − | 0.187853i | 0.861875 | − | 0.507121i | \(-0.169290\pi\) |
−0.947665 | + | 0.319268i | \(0.896563\pi\) | |||||||
\(54\) | −1.30051 | − | 1.50087i | −0.176977 | − | 0.204243i | ||||
\(55\) | −0.473702 | − | 3.29467i | −0.0638740 | − | 0.444253i | ||||
\(56\) | −0.149450 | + | 0.327250i | −0.0199711 | + | 0.0437306i | ||||
\(57\) | 6.13680 | − | 1.80193i | 0.812839 | − | 0.238671i | ||||
\(58\) | −14.7189 | + | 4.32185i | −1.93268 | + | 0.567487i | ||||
\(59\) | 2.08771 | − | 4.57145i | 0.271797 | − | 0.595152i | −0.723682 | − | 0.690133i | \(-0.757552\pi\) |
0.995479 | + | 0.0949816i | \(0.0302792\pi\) | |||||||
\(60\) | −0.566554 | − | 3.94047i | −0.0731418 | − | 0.508713i | ||||
\(61\) | 5.53965 | + | 6.39309i | 0.709279 | + | 0.818552i | 0.989975 | − | 0.141245i | \(-0.0451106\pi\) |
−0.280696 | + | 0.959797i | \(0.590565\pi\) | |||||||
\(62\) | −7.23127 | − | 15.8343i | −0.918373 | − | 2.01096i | ||||
\(63\) | 2.71866 | − | 1.74718i | 0.342519 | − | 0.220123i | ||||
\(64\) | 1.07383 | − | 7.46864i | 0.134229 | − | 0.933580i | ||||
\(65\) | −4.47166 | − | 2.87376i | −0.554641 | − | 0.356446i | ||||
\(66\) | −2.11379 | + | 2.43945i | −0.260190 | + | 0.300275i | ||||
\(67\) | −3.57857 | − | 1.05076i | −0.437191 | − | 0.128371i | 0.0557280 | − | 0.998446i | \(-0.482252\pi\) |
−0.492919 | + | 0.870075i | \(0.664070\pi\) | |||||||
\(68\) | 9.02995 | 1.09504 | ||||||||
\(69\) | −4.37218 | − | 1.97079i | −0.526349 | − | 0.237255i | ||||
\(70\) | 13.1432 | 1.57091 | ||||||||
\(71\) | 1.18331 | + | 0.347451i | 0.140433 | + | 0.0412349i | 0.351194 | − | 0.936303i | \(-0.385776\pi\) |
−0.210761 | + | 0.977538i | \(0.567594\pi\) | |||||||
\(72\) | 0.0729013 | − | 0.0841325i | 0.00859149 | − | 0.00991511i | ||||
\(73\) | 9.93598 | + | 6.38547i | 1.16292 | + | 0.747363i | 0.972170 | − | 0.234276i | \(-0.0752721\pi\) |
0.190749 | + | 0.981639i | \(0.438908\pi\) | |||||||
\(74\) | −2.25270 | + | 15.6679i | −0.261871 | + | 1.82135i | ||||
\(75\) | −0.678158 | + | 0.435826i | −0.0783070 | + | 0.0503248i | ||||
\(76\) | −5.16495 | − | 11.3097i | −0.592460 | − | 1.29731i | ||||
\(77\) | −3.43973 | − | 3.96966i | −0.391994 | − | 0.452385i | ||||
\(78\) | 0.733583 | + | 5.10218i | 0.0830620 | + | 0.577709i | ||||
\(79\) | 3.73374 | − | 8.17574i | 0.420078 | − | 0.919843i | −0.574755 | − | 0.818325i | \(-0.694903\pi\) |
0.994834 | − | 0.101518i | \(-0.0323699\pi\) | |||||||
\(80\) | 8.07388 | − | 2.37071i | 0.902687 | − | 0.265053i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −2.36238 | + | 5.17288i | −0.260881 | + | 0.571249i | ||||
\(83\) | 2.18254 | + | 15.1799i | 0.239565 | + | 1.66621i | 0.654275 | + | 0.756257i | \(0.272974\pi\) |
−0.414710 | + | 0.909954i | \(0.636117\pi\) | |||||||
\(84\) | −4.11396 | − | 4.74777i | −0.448870 | − | 0.518024i | ||||
\(85\) | 3.95177 | + | 8.65317i | 0.428630 | + | 0.938568i | ||||
\(86\) | −6.22822 | + | 4.00264i | −0.671607 | + | 0.431615i | ||||
\(87\) | −1.09930 | + | 7.64583i | −0.117858 | + | 0.819719i | ||||
\(88\) | −0.152216 | − | 0.0978234i | −0.0162263 | − | 0.0104280i | ||||
\(89\) | 1.71060 | − | 1.97414i | 0.181323 | − | 0.209258i | −0.657810 | − | 0.753184i | \(-0.728517\pi\) |
0.839134 | + | 0.543925i | \(0.183063\pi\) | |||||||
\(90\) | −3.90225 | − | 1.14580i | −0.411333 | − | 0.120778i | ||||
\(91\) | −8.38806 | −0.879308 | ||||||||
\(92\) | −2.58254 | + | 8.95799i | −0.269248 | + | 0.933935i | ||||
\(93\) | −8.76531 | −0.908920 | ||||||||
\(94\) | 16.5784 | + | 4.86785i | 1.70993 | + | 0.502080i | ||||
\(95\) | 8.57742 | − | 9.89887i | 0.880025 | − | 1.01560i | ||||
\(96\) | −6.67746 | − | 4.29134i | −0.681515 | − | 0.437983i | ||||
\(97\) | −0.172893 | + | 1.20250i | −0.0175546 | + | 0.122095i | −0.996714 | − | 0.0809964i | \(-0.974190\pi\) |
0.979160 | + | 0.203091i | \(0.0650989\pi\) | |||||||
\(98\) | 5.75334 | − | 3.69745i | 0.581176 | − | 0.373499i | ||||
\(99\) | 0.675196 | + | 1.47847i | 0.0678598 | + | 0.148592i | ||||
\(100\) | 1.02621 | + | 1.18431i | 0.102621 | + | 0.118431i | ||||
\(101\) | −1.08352 | − | 7.53601i | −0.107814 | − | 0.749861i | −0.969971 | − | 0.243221i | \(-0.921796\pi\) |
0.862157 | − | 0.506641i | \(-0.169113\pi\) | |||||||
\(102\) | 3.83221 | − | 8.39137i | 0.379445 | − | 0.830869i | ||||
\(103\) | −10.4040 | + | 3.05489i | −1.02514 | + | 0.301007i | −0.750732 | − | 0.660607i | \(-0.770299\pi\) |
−0.274405 | + | 0.961614i | \(0.588481\pi\) | |||||||
\(104\) | −0.277244 | + | 0.0814061i | −0.0271860 | + | 0.00798253i | ||||
\(105\) | 2.74927 | − | 6.02006i | 0.268301 | − | 0.587498i | ||||
\(106\) | 0.424920 | + | 2.95538i | 0.0412719 | + | 0.287052i | ||||
\(107\) | −3.00774 | − | 3.47111i | −0.290769 | − | 0.335565i | 0.591505 | − | 0.806301i | \(-0.298534\pi\) |
−0.882274 | + | 0.470736i | \(0.843988\pi\) | |||||||
\(108\) | 0.807544 | + | 1.76827i | 0.0777059 | + | 0.170152i | ||||
\(109\) | 0.710274 | − | 0.456465i | 0.0680319 | − | 0.0437215i | −0.506183 | − | 0.862426i | \(-0.668944\pi\) |
0.574215 | + | 0.818705i | \(0.305307\pi\) | |||||||
\(110\) | −0.940743 | + | 6.54301i | −0.0896963 | + | 0.623851i | ||||
\(111\) | 6.70524 | + | 4.30919i | 0.636433 | + | 0.409011i | ||||
\(112\) | 8.69580 | − | 10.0355i | 0.821676 | − | 0.948264i | ||||
\(113\) | −10.6802 | − | 3.13598i | −1.00471 | − | 0.295009i | −0.262321 | − | 0.964981i | \(-0.584488\pi\) |
−0.742386 | + | 0.669972i | \(0.766306\pi\) | |||||||
\(114\) | −12.7018 | −1.18963 | ||||||||
\(115\) | −9.71440 | + | 1.44550i | −0.905873 | + | 0.134793i | ||||
\(116\) | 15.0159 | 1.39419 | ||||||||
\(117\) | 2.49044 | + | 0.731259i | 0.230241 | + | 0.0676049i | ||||
\(118\) | −6.53585 | + | 7.54278i | −0.601674 | + | 0.694369i | ||||
\(119\) | 12.6286 | + | 8.11593i | 1.15766 | + | 0.743986i | ||||
\(120\) | 0.0324447 | − | 0.225658i | 0.00296178 | − | 0.0205997i | ||||
\(121\) | −7.03139 | + | 4.51880i | −0.639217 | + | 0.410800i | ||||
\(122\) | −6.97880 | − | 15.2814i | −0.631831 | − | 1.38352i | ||||
\(123\) | 1.87521 | + | 2.16411i | 0.169082 | + | 0.195131i | ||||
\(124\) | 2.42494 | + | 16.8658i | 0.217766 | + | 1.51460i | ||||
\(125\) | −4.93942 | + | 10.8158i | −0.441796 | + | 0.967397i | ||||
\(126\) | −6.15793 | + | 1.80813i | −0.548592 | + | 0.161081i | ||||
\(127\) | 17.4791 | − | 5.13231i | 1.55102 | − | 0.455419i | 0.609611 | − | 0.792700i | \(-0.291325\pi\) |
0.941404 | + | 0.337281i | \(0.109507\pi\) | |||||||
\(128\) | 0.369818 | − | 0.809788i | 0.0326876 | − | 0.0715758i | ||||
\(129\) | 0.530545 | + | 3.69002i | 0.0467119 | + | 0.324888i | ||||
\(130\) | 6.91283 | + | 7.97783i | 0.606295 | + | 0.699702i | ||||
\(131\) | 0.603367 | + | 1.32119i | 0.0527164 | + | 0.115433i | 0.934157 | − | 0.356862i | \(-0.116153\pi\) |
−0.881441 | + | 0.472294i | \(0.843426\pi\) | |||||||
\(132\) | 2.65802 | − | 1.70821i | 0.231351 | − | 0.148680i | ||||
\(133\) | 2.94156 | − | 20.4590i | 0.255066 | − | 1.77402i | ||||
\(134\) | 6.23102 | + | 4.00444i | 0.538279 | + | 0.345931i | ||||
\(135\) | −1.34109 | + | 1.54770i | −0.115422 | + | 0.133204i | ||||
\(136\) | 0.496169 | + | 0.145688i | 0.0425461 | + | 0.0124927i | ||||
\(137\) | −4.47536 | −0.382356 | −0.191178 | − | 0.981555i | \(-0.561231\pi\) | ||||
−0.191178 | + | 0.981555i | \(0.561231\pi\) | |||||||
\(138\) | 7.22850 | + | 6.20158i | 0.615330 | + | 0.527913i | ||||
\(139\) | 5.81596 | 0.493303 | 0.246652 | − | 0.969104i | \(-0.420670\pi\) | ||||
0.246652 | + | 0.969104i | \(0.420670\pi\) | |||||||
\(140\) | −12.3441 | − | 3.62457i | −1.04327 | − | 0.306332i | ||||
\(141\) | 5.69749 | − | 6.57525i | 0.479815 | − | 0.553736i | ||||
\(142\) | −2.06039 | − | 1.32413i | −0.172904 | − | 0.111119i | ||||
\(143\) | 0.600388 | − | 4.17579i | 0.0502070 | − | 0.349197i | ||||
\(144\) | −3.45669 | + | 2.22148i | −0.288057 | + | 0.185123i | ||||
\(145\) | 6.57139 | + | 14.3893i | 0.545724 | + | 1.19497i | ||||
\(146\) | −15.3602 | − | 17.7267i | −1.27122 | − | 1.46707i | ||||
\(147\) | −0.490093 | − | 3.40867i | −0.0404222 | − | 0.281142i | ||||
\(148\) | 6.43655 | − | 14.0941i | 0.529081 | − | 1.15853i | ||||
\(149\) | 0.0318508 | − | 0.00935225i | 0.00260932 | − | 0.000766166i | −0.280428 | − | 0.959875i | \(-0.590476\pi\) |
0.283037 | + | 0.959109i | \(0.408658\pi\) | |||||||
\(150\) | 1.53607 | − | 0.451031i | 0.125420 | − | 0.0368265i | ||||
\(151\) | 6.25711 | − | 13.7012i | 0.509197 | − | 1.11499i | −0.464173 | − | 0.885745i | \(-0.653648\pi\) |
0.973370 | − | 0.229241i | \(-0.0736243\pi\) | |||||||
\(152\) | −0.101330 | − | 0.704763i | −0.00821892 | − | 0.0571638i | ||||
\(153\) | −3.04194 | − | 3.51059i | −0.245926 | − | 0.283814i | ||||
\(154\) | 4.33334 | + | 9.48870i | 0.349191 | + | 0.764621i | ||||
\(155\) | −15.1009 | + | 9.70473i | −1.21293 | + | 0.779503i | ||||
\(156\) | 0.718072 | − | 4.99430i | 0.0574918 | − | 0.399864i | ||||
\(157\) | −13.1292 | − | 8.43760i | −1.04782 | − | 0.673394i | −0.100912 | − | 0.994895i | \(-0.532176\pi\) |
−0.946909 | + | 0.321502i | \(0.895812\pi\) | |||||||
\(158\) | −11.6890 | + | 13.4898i | −0.929924 | + | 1.07319i | ||||
\(159\) | 1.44256 | + | 0.423573i | 0.114402 | + | 0.0335915i | ||||
\(160\) | −16.2552 | −1.28508 | ||||||||
\(161\) | −11.6630 | + | 10.2069i | −0.919173 | + | 0.804413i | ||||
\(162\) | 1.98594 | 0.156030 | ||||||||
\(163\) | −13.2652 | − | 3.89500i | −1.03901 | − | 0.305080i | −0.282640 | − | 0.959226i | \(-0.591210\pi\) |
−0.756368 | + | 0.654146i | \(0.773028\pi\) | |||||||
\(164\) | 3.64531 | − | 4.20691i | 0.284651 | − | 0.328504i | ||||
\(165\) | 2.80016 | + | 1.79955i | 0.217992 | + | 0.140095i | ||||
\(166\) | 4.33439 | − | 30.1463i | 0.336414 | − | 2.33981i | ||||
\(167\) | 2.18969 | − | 1.40723i | 0.169443 | − | 0.108895i | −0.453170 | − | 0.891424i | \(-0.649707\pi\) |
0.622614 | + | 0.782529i | \(0.286071\pi\) | |||||||
\(168\) | −0.149450 | − | 0.327250i | −0.0115303 | − | 0.0252479i | ||||
\(169\) | 4.10138 | + | 4.73324i | 0.315491 | + | 0.364096i | ||||
\(170\) | −2.68859 | − | 18.6996i | −0.206206 | − | 1.43419i | ||||
\(171\) | −2.65694 | + | 5.81790i | −0.203182 | + | 0.444906i | ||||
\(172\) | 6.95341 | − | 2.04170i | 0.530192 | − | 0.155678i | ||||
\(173\) | 15.6378 | − | 4.59168i | 1.18892 | − | 0.349099i | 0.373314 | − | 0.927705i | \(-0.378221\pi\) |
0.815607 | + | 0.578606i | \(0.196403\pi\) | |||||||
\(174\) | 6.37258 | − | 13.9540i | 0.483104 | − | 1.05785i | ||||
\(175\) | 0.370751 | + | 2.57863i | 0.0280261 | + | 0.194926i | ||||
\(176\) | 4.37350 | + | 5.04729i | 0.329665 | + | 0.380454i | ||||
\(177\) | 2.08771 | + | 4.57145i | 0.156922 | + | 0.343611i | ||||
\(178\) | −4.36407 | + | 2.80462i | −0.327101 | + | 0.210215i | ||||
\(179\) | 0.816896 | − | 5.68163i | 0.0610576 | − | 0.424665i | −0.936250 | − | 0.351334i | \(-0.885728\pi\) |
0.997308 | − | 0.0733308i | \(-0.0233629\pi\) | |||||||
\(180\) | 3.34902 | + | 2.15229i | 0.249622 | + | 0.160422i | ||||
\(181\) | −7.62337 | + | 8.79784i | −0.566641 | + | 0.653938i | −0.964678 | − | 0.263431i | \(-0.915146\pi\) |
0.398037 | + | 0.917369i | \(0.369691\pi\) | |||||||
\(182\) | 15.9834 | + | 4.69315i | 1.18477 | + | 0.347879i | ||||
\(183\) | −8.45927 | −0.625327 | ||||||||
\(184\) | −0.286430 | + | 0.450548i | −0.0211159 | + | 0.0332149i | ||||
\(185\) | 16.3228 | 1.20008 | ||||||||
\(186\) | 16.7022 | + | 4.90422i | 1.22467 | + | 0.359595i | ||||
\(187\) | −4.94423 | + | 5.70594i | −0.361558 | + | 0.417260i | ||||
\(188\) | −14.2280 | − | 9.14381i | −1.03769 | − | 0.666881i | ||||
\(189\) | −0.459915 | + | 3.19878i | −0.0334539 | + | 0.232677i | ||||
\(190\) | −21.8827 | + | 14.0631i | −1.58753 | + | 1.02025i | ||||
\(191\) | 1.34149 | + | 2.93746i | 0.0970670 | + | 0.212547i | 0.951936 | − | 0.306297i | \(-0.0990899\pi\) |
−0.854869 | + | 0.518844i | \(0.826363\pi\) | |||||||
\(192\) | 4.94122 | + | 5.70247i | 0.356602 | + | 0.411540i | ||||
\(193\) | −0.621799 | − | 4.32471i | −0.0447581 | − | 0.311299i | −0.999886 | − | 0.0151054i | \(-0.995192\pi\) |
0.955128 | − | 0.296194i | \(-0.0957175\pi\) | |||||||
\(194\) | 1.00225 | − | 2.19462i | 0.0719572 | − | 0.157564i | ||||
\(195\) | 5.10015 | − | 1.49754i | 0.365230 | − | 0.107241i | ||||
\(196\) | −6.42323 | + | 1.88603i | −0.458802 | + | 0.134717i | ||||
\(197\) | −8.92138 | + | 19.5351i | −0.635622 | + | 1.39182i | 0.267972 | + | 0.963427i | \(0.413647\pi\) |
−0.903594 | + | 0.428391i | \(0.859081\pi\) | |||||||
\(198\) | −0.459371 | − | 3.19499i | −0.0326461 | − | 0.227058i | ||||
\(199\) | −4.15479 | − | 4.79488i | −0.294525 | − | 0.339900i | 0.589130 | − | 0.808038i | \(-0.299470\pi\) |
−0.883655 | + | 0.468138i | \(0.844925\pi\) | |||||||
\(200\) | 0.0372797 | + | 0.0816311i | 0.00263607 | + | 0.00577219i | ||||
\(201\) | 3.13757 | − | 2.01640i | 0.221307 | − | 0.142226i | ||||
\(202\) | −2.15179 | + | 14.9660i | −0.151400 | + | 1.05301i | ||||
\(203\) | 21.0001 | + | 13.4960i | 1.47392 | + | 0.947231i | ||||
\(204\) | −5.91336 | + | 6.82438i | −0.414018 | + | 0.477802i | ||||
\(205\) | 5.62666 | + | 1.65214i | 0.392983 | + | 0.115390i | ||||
\(206\) | 21.5340 | 1.50034 | ||||||||
\(207\) | 4.35260 | − | 2.01368i | 0.302526 | − | 0.139961i | ||||
\(208\) | 10.6651 | 0.739495 | ||||||||
\(209\) | 9.97447 | + | 2.92877i | 0.689948 | + | 0.202587i | ||||
\(210\) | −8.60696 | + | 9.93296i | −0.593936 | + | 0.685439i | ||||
\(211\) | −12.4219 | − | 7.98305i | −0.855157 | − | 0.549576i | 0.0380226 | − | 0.999277i | \(-0.487894\pi\) |
−0.893179 | + | 0.449701i | \(0.851530\pi\) | |||||||
\(212\) | 0.415935 | − | 2.89289i | 0.0285665 | − | 0.198685i | ||||
\(213\) | −1.03749 | + | 0.666754i | −0.0710876 | + | 0.0456853i | ||||
\(214\) | 3.78912 | + | 8.29702i | 0.259019 | + | 0.567173i | ||||
\(215\) | 4.99952 | + | 5.76976i | 0.340965 | + | 0.393494i | ||||
\(216\) | 0.0158430 | + | 0.110190i | 0.00107798 | + | 0.00749749i | ||||
\(217\) | −11.7673 | + | 25.7668i | −0.798817 | + | 1.74916i | ||||
\(218\) | −1.60882 | + | 0.472391i | −0.108963 | + | 0.0319943i | ||||
\(219\) | −11.3325 | + | 3.32752i | −0.765779 | + | 0.224853i | ||||
\(220\) | 2.68795 | − | 5.88579i | 0.181222 | − | 0.396820i | ||||
\(221\) | 1.71588 | + | 11.9342i | 0.115422 | + | 0.802780i | ||||
\(222\) | −10.3658 | − | 11.9627i | −0.695705 | − | 0.802886i | ||||
\(223\) | −8.03655 | − | 17.5976i | −0.538167 | − | 1.17842i | −0.962092 | − | 0.272725i | \(-0.912075\pi\) |
0.423925 | − | 0.905697i | \(-0.360652\pi\) | |||||||
\(224\) | −21.5794 | + | 13.8682i | −1.44183 | + | 0.926609i | ||||
\(225\) | 0.114724 | − | 0.797923i | 0.00764827 | − | 0.0531949i | ||||
\(226\) | 18.5964 | + | 11.9512i | 1.23701 | + | 0.794981i | ||||
\(227\) | 6.36225 | − | 7.34243i | 0.422277 | − | 0.487334i | −0.504252 | − | 0.863557i | \(-0.668232\pi\) |
0.926529 | + | 0.376222i | \(0.122777\pi\) | |||||||
\(228\) | 11.9296 | + | 3.50285i | 0.790057 | + | 0.231982i | ||||
\(229\) | 5.31591 | 0.351285 | 0.175642 | − | 0.984454i | \(-0.443800\pi\) | ||||
0.175642 | + | 0.984454i | \(0.443800\pi\) | |||||||
\(230\) | 19.3195 | + | 2.68085i | 1.27389 | + | 0.176770i | ||||
\(231\) | 5.25261 | 0.345597 | ||||||||
\(232\) | 0.825079 | + | 0.242265i | 0.0541691 | + | 0.0159055i | ||||
\(233\) | 11.0328 | − | 12.7325i | 0.722781 | − | 0.834133i | −0.268858 | − | 0.963180i | \(-0.586646\pi\) |
0.991639 | + | 0.129046i | \(0.0411916\pi\) | |||||||
\(234\) | −4.33637 | − | 2.78682i | −0.283477 | − | 0.182180i | ||||
\(235\) | 2.53567 | − | 17.6359i | 0.165409 | − | 1.15044i | ||||
\(236\) | 8.21861 | − | 5.28178i | 0.534986 | − | 0.343815i | ||||
\(237\) | 3.73374 | + | 8.17574i | 0.242532 | + | 0.531072i | ||||
\(238\) | −19.5229 | − | 22.5306i | −1.26548 | − | 1.46044i | ||||
\(239\) | −2.02812 | − | 14.1059i | −0.131188 | − | 0.912433i | −0.944009 | − | 0.329919i | \(-0.892978\pi\) |
0.812821 | − | 0.582513i | \(-0.197931\pi\) | |||||||
\(240\) | −3.49561 | + | 7.65431i | −0.225640 | + | 0.494084i | ||||
\(241\) | −25.8093 | + | 7.57831i | −1.66253 | + | 0.488162i | −0.971968 | − | 0.235115i | \(-0.924453\pi\) |
−0.690558 | + | 0.723277i | \(0.742635\pi\) | |||||||
\(242\) | 15.9265 | − | 4.67645i | 1.02380 | − | 0.300614i | ||||
\(243\) | 0.415415 | − | 0.909632i | 0.0266489 | − | 0.0583529i | ||||
\(244\) | 2.34028 | + | 16.2770i | 0.149821 | + | 1.04203i | ||||
\(245\) | −4.61833 | − | 5.32983i | −0.295054 | − | 0.340511i | ||||
\(246\) | −2.36238 | − | 5.17288i | −0.150620 | − | 0.329811i | ||||
\(247\) | 13.9656 | − | 8.97518i | 0.888613 | − | 0.571077i | ||||
\(248\) | −0.138868 | + | 0.965851i | −0.00881815 | + | 0.0613316i | ||||
\(249\) | −12.9015 | − | 8.29126i | −0.817597 | − | 0.525438i | ||||
\(250\) | 15.4635 | − | 17.8459i | 0.977999 | − | 1.12867i | ||||
\(251\) | −5.92489 | − | 1.73970i | −0.373976 | − | 0.109809i | 0.0893429 | − | 0.996001i | \(-0.471523\pi\) |
−0.463319 | + | 0.886192i | \(0.653341\pi\) | |||||||
\(252\) | 6.28220 | 0.395741 | ||||||||
\(253\) | −4.24644 | − | 6.53671i | −0.266971 | − | 0.410959i | ||||
\(254\) | −36.1777 | −2.26999 | ||||||||
\(255\) | −9.12749 | − | 2.68007i | −0.571585 | − | 0.167833i | ||||
\(256\) | −11.0402 | + | 12.7411i | −0.690012 | + | 0.796316i | ||||
\(257\) | −8.03384 | − | 5.16304i | −0.501137 | − | 0.322061i | 0.265534 | − | 0.964102i | \(-0.414452\pi\) |
−0.766671 | + | 0.642040i | \(0.778088\pi\) | |||||||
\(258\) | 1.05363 | − | 7.32815i | 0.0655961 | − | 0.456231i | ||||
\(259\) | 21.6691 | − | 13.9259i | 1.34646 | − | 0.865314i | ||||
\(260\) | −4.29247 | − | 9.39920i | −0.266208 | − | 0.582914i | ||||
\(261\) | −5.05844 | − | 5.83775i | −0.313110 | − | 0.361348i | ||||
\(262\) | −0.410502 | − | 2.85510i | −0.0253609 | − | 0.176389i | ||||
\(263\) | 1.19613 | − | 2.61917i | 0.0737568 | − | 0.161505i | −0.869162 | − | 0.494527i | \(-0.835341\pi\) |
0.942919 | + | 0.333022i | \(0.108068\pi\) | |||||||
\(264\) | 0.173610 | − | 0.0509766i | 0.0106850 | − | 0.00313739i | ||||
\(265\) | 2.95421 | − | 0.867433i | 0.181475 | − | 0.0532860i | ||||
\(266\) | −17.0520 | + | 37.3387i | −1.04553 | + | 2.28938i | ||||
\(267\) | 0.371749 | + | 2.58557i | 0.0227507 | + | 0.158234i | ||||
\(268\) | −4.74788 | − | 5.47935i | −0.290023 | − | 0.334704i | ||||
\(269\) | 3.58458 | + | 7.84914i | 0.218556 | + | 0.478570i | 0.986873 | − | 0.161499i | \(-0.0516329\pi\) |
−0.768317 | + | 0.640069i | \(0.778906\pi\) | |||||||
\(270\) | 3.42137 | − | 2.19878i | 0.208218 | − | 0.133813i | ||||
\(271\) | 1.06819 | − | 7.42940i | 0.0648877 | − | 0.451304i | −0.931313 | − | 0.364219i | \(-0.881336\pi\) |
0.996201 | − | 0.0870845i | \(-0.0277550\pi\) | |||||||
\(272\) | −16.0569 | − | 10.3191i | −0.973592 | − | 0.625690i | ||||
\(273\) | 5.49301 | − | 6.33927i | 0.332452 | − | 0.383670i | ||||
\(274\) | 8.52776 | + | 2.50398i | 0.515181 | + | 0.151271i | ||||
\(275\) | −1.31024 | −0.0790106 | ||||||||
\(276\) | −5.07879 | − | 7.81799i | −0.305708 | − | 0.470588i | ||||
\(277\) | −7.67215 | −0.460975 | −0.230487 | − | 0.973075i | \(-0.574032\pi\) | ||||
−0.230487 | + | 0.973075i | \(0.574032\pi\) | |||||||
\(278\) | −11.0823 | − | 3.25405i | −0.664670 | − | 0.195165i | ||||
\(279\) | 5.74006 | − | 6.62438i | 0.343648 | − | 0.396591i | ||||
\(280\) | −0.619795 | − | 0.398318i | −0.0370398 | − | 0.0238041i | ||||
\(281\) | 3.28055 | − | 22.8167i | 0.195701 | − | 1.36113i | −0.620882 | − | 0.783904i | \(-0.713226\pi\) |
0.816584 | − | 0.577227i | \(-0.195865\pi\) | |||||||
\(282\) | −14.5354 | + | 9.34133i | −0.865570 | + | 0.556268i | ||||
\(283\) | 3.22316 | + | 7.05774i | 0.191597 | + | 0.419539i | 0.980913 | − | 0.194449i | \(-0.0622917\pi\) |
−0.789316 | + | 0.613988i | \(0.789564\pi\) | |||||||
\(284\) | 1.56996 | + | 1.81184i | 0.0931602 | + | 0.107513i | ||||
\(285\) | 1.86405 | + | 12.9648i | 0.110417 | + | 0.767966i | ||||
\(286\) | −3.48040 | + | 7.62101i | −0.205800 | + | 0.450640i | ||||
\(287\) | 8.87914 | − | 2.60715i | 0.524119 | − | 0.153895i | ||||
\(288\) | 7.61598 | − | 2.23625i | 0.448776 | − | 0.131773i | ||||
\(289\) | 1.90161 | − | 4.16395i | 0.111860 | − | 0.244938i | ||||
\(290\) | −4.47086 | − | 31.0955i | −0.262538 | − | 1.82599i | ||||
\(291\) | −0.795566 | − | 0.918132i | −0.0466369 | − | 0.0538219i | ||||
\(292\) | 9.53784 | + | 20.8849i | 0.558160 | + | 1.22220i | ||||
\(293\) | 8.81117 | − | 5.66260i | 0.514754 | − | 0.330812i | −0.257340 | − | 0.966321i | \(-0.582846\pi\) |
0.772094 | + | 0.635509i | \(0.219210\pi\) | |||||||
\(294\) | −0.973293 | + | 6.76940i | −0.0567636 | + | 0.394800i | ||||
\(295\) | 8.65810 | + | 5.56422i | 0.504094 | + | 0.323961i | ||||
\(296\) | 0.581062 | − | 0.670581i | 0.0337735 | − | 0.0389767i | ||||
\(297\) | −1.55951 | − | 0.457915i | −0.0904922 | − | 0.0265709i | ||||
\(298\) | −0.0659242 | −0.00381888 | ||||||||
\(299\) | −12.3298 | − | 1.71094i | −0.713051 | − | 0.0989461i | ||||
\(300\) | −1.56707 | −0.0904747 | ||||||||
\(301\) | 11.5596 | + | 3.39419i | 0.666282 | + | 0.195638i | ||||
\(302\) | −19.5887 | + | 22.6066i | −1.12720 | + | 1.30086i | ||||
\(303\) | 6.40489 | + | 4.11617i | 0.367951 | + | 0.236468i | ||||
\(304\) | −3.74010 | + | 26.0130i | −0.214509 | + | 1.49195i | ||||
\(305\) | −14.5736 | + | 9.36590i | −0.834483 | + | 0.536290i | ||||
\(306\) | 3.83221 | + | 8.39137i | 0.219073 | + | 0.479703i | ||||
\(307\) | 13.1658 | + | 15.1941i | 0.751409 | + | 0.867172i | 0.994704 | − | 0.102780i | \(-0.0327737\pi\) |
−0.243295 | + | 0.969952i | \(0.578228\pi\) | |||||||
\(308\) | −1.45315 | − | 10.1069i | −0.0828007 | − | 0.575892i | ||||
\(309\) | 4.50444 | − | 9.86335i | 0.256249 | − | 0.561107i | ||||
\(310\) | 34.2044 | − | 10.0433i | 1.94268 | − | 0.570422i | ||||
\(311\) | 16.3900 | − | 4.81254i | 0.929393 | − | 0.272894i | 0.218210 | − | 0.975902i | \(-0.429978\pi\) |
0.711183 | + | 0.703007i | \(0.248160\pi\) | |||||||
\(312\) | 0.120033 | − | 0.262837i | 0.00679555 | − | 0.0148802i | ||||
\(313\) | −1.51418 | − | 10.5314i | −0.0855866 | − | 0.595268i | −0.986806 | − | 0.161905i | \(-0.948236\pi\) |
0.901220 | − | 0.433362i | \(-0.142673\pi\) | |||||||
\(314\) | 20.2966 | + | 23.4236i | 1.14541 | + | 1.32187i | ||||
\(315\) | 2.74927 | + | 6.02006i | 0.154904 | + | 0.339192i | ||||
\(316\) | 14.6985 | − | 9.44614i | 0.826854 | − | 0.531387i | ||||
\(317\) | −2.24495 | + | 15.6140i | −0.126089 | + | 0.876969i | 0.824355 | + | 0.566073i | \(0.191538\pi\) |
−0.950444 | + | 0.310896i | \(0.899371\pi\) | |||||||
\(318\) | −2.51179 | − | 1.61423i | −0.140854 | − | 0.0905216i | ||||
\(319\) | −8.22175 | + | 9.48841i | −0.460330 | + | 0.531249i | ||||
\(320\) | 14.8263 | + | 4.35341i | 0.828818 | + | 0.243363i | ||||
\(321\) | 4.59294 | 0.256353 | ||||||||
\(322\) | 27.9345 | − | 12.9236i | 1.55673 | − | 0.720205i | ||||
\(323\) | −29.7100 | −1.65311 | ||||||||
\(324\) | −1.86520 | − | 0.547672i | −0.103622 | − | 0.0304262i | ||||
\(325\) | −1.37021 | + | 1.58131i | −0.0760055 | + | 0.0877151i | ||||
\(326\) | 23.0974 | + | 14.8438i | 1.27925 | + | 0.822122i | ||||
\(327\) | −0.120157 | + | 0.835711i | −0.00664470 | + | 0.0462149i | ||||
\(328\) | 0.268173 | − | 0.172344i | 0.0148074 | − | 0.00951611i | ||||
\(329\) | −11.6800 | − | 25.5757i | −0.643941 | − | 1.41003i | ||||
\(330\) | −4.32882 | − | 4.99573i | −0.238294 | − | 0.275006i | ||||
\(331\) | 1.75458 | + | 12.2034i | 0.0964405 | + | 0.670759i | 0.979492 | + | 0.201483i | \(0.0645760\pi\) |
−0.883052 | + | 0.469276i | \(0.844515\pi\) | |||||||
\(332\) | −12.3845 | + | 27.1182i | −0.679687 | + | 1.48831i | ||||
\(333\) | −7.64767 | + | 2.24556i | −0.419090 | + | 0.123056i | ||||
\(334\) | −4.95979 | + | 1.45633i | −0.271388 | + | 0.0796866i | ||||
\(335\) | 3.17290 | − | 6.94769i | 0.173354 | − | 0.379593i | ||||
\(336\) | 1.88978 | + | 13.1437i | 0.103096 | + | 0.717047i | ||||
\(337\) | −19.2495 | − | 22.2151i | −1.04859 | − | 1.21013i | −0.977120 | − | 0.212690i | \(-0.931777\pi\) |
−0.0714669 | − | 0.997443i | \(-0.522768\pi\) | |||||||
\(338\) | −5.16688 | − | 11.3139i | −0.281041 | − | 0.615395i | ||||
\(339\) | 9.36405 | − | 6.01791i | 0.508585 | − | 0.326848i | ||||
\(340\) | −2.63174 | + | 18.3042i | −0.142726 | + | 0.992683i | ||||
\(341\) | −11.9851 | − | 7.70236i | −0.649030 | − | 0.417106i | ||||
\(342\) | 8.31792 | − | 9.59939i | 0.449781 | − | 0.519075i | ||||
\(343\) | 11.0272 | + | 3.23788i | 0.595413 | + | 0.174829i | ||||
\(344\) | 0.415009 | 0.0223758 | ||||||||
\(345\) | 5.26915 | − | 8.28825i | 0.283681 | − | 0.446225i | ||||
\(346\) | −32.3668 | −1.74005 | ||||||||
\(347\) | −28.7698 | − | 8.44756i | −1.54444 | − | 0.453489i | −0.605008 | − | 0.796220i | \(-0.706830\pi\) |
−0.939434 | + | 0.342731i | \(0.888648\pi\) | |||||||
\(348\) | −9.83332 | + | 11.3483i | −0.527122 | + | 0.608331i | ||||
\(349\) | 7.53619 | + | 4.84322i | 0.403403 | + | 0.259251i | 0.726573 | − | 0.687090i | \(-0.241112\pi\) |
−0.323170 | + | 0.946341i | \(0.604748\pi\) | |||||||
\(350\) | 0.736287 | − | 5.12099i | 0.0393562 | − | 0.273728i | ||||
\(351\) | −2.18354 | + | 1.40328i | −0.116549 | + | 0.0749013i | ||||
\(352\) | −5.35937 | − | 11.7354i | −0.285656 | − | 0.625498i | ||||
\(353\) | 6.27244 | + | 7.23878i | 0.333848 | + | 0.385281i | 0.897709 | − | 0.440588i | \(-0.145230\pi\) |
−0.563861 | + | 0.825870i | \(0.690685\pi\) | |||||||
\(354\) | −1.42038 | − | 9.87894i | −0.0754922 | − | 0.525059i | ||||
\(355\) | −1.04917 | + | 2.29737i | −0.0556843 | + | 0.121932i | ||||
\(356\) | 4.87220 | − | 1.43061i | 0.258226 | − | 0.0758221i | ||||
\(357\) | −14.4036 | + | 4.22928i | −0.762320 | + | 0.223837i | ||||
\(358\) | −4.73548 | + | 10.3693i | −0.250278 | + | 0.548032i | ||||
\(359\) | 2.00532 | + | 13.9473i | 0.105837 | + | 0.736111i | 0.971766 | + | 0.235945i | \(0.0758185\pi\) |
−0.865930 | + | 0.500166i | \(0.833272\pi\) | |||||||
\(360\) | 0.149294 | + | 0.172295i | 0.00786849 | + | 0.00908072i | ||||
\(361\) | 9.10060 | + | 19.9275i | 0.478979 | + | 1.04882i | ||||
\(362\) | 19.4487 | − | 12.4989i | 1.02220 | − | 0.656929i | ||||
\(363\) | 1.18950 | − | 8.27315i | 0.0624325 | − | 0.434228i | ||||
\(364\) | −13.7174 | − | 8.81565i | −0.718988 | − | 0.462066i | ||||
\(365\) | −15.8395 | + | 18.2797i | −0.829075 | + | 0.956804i | ||||
\(366\) | 16.1191 | + | 4.73299i | 0.842558 | + | 0.247397i | ||||
\(367\) | 8.38697 | 0.437796 | 0.218898 | − | 0.975748i | \(-0.429754\pi\) | ||||
0.218898 | + | 0.975748i | \(0.429754\pi\) | |||||||
\(368\) | 14.8291 | − | 12.9777i | 0.773022 | − | 0.676509i | ||||
\(369\) | −2.86353 | −0.149069 | ||||||||
\(370\) | −31.1030 | − | 9.13266i | −1.61697 | − | 0.474784i | ||||
\(371\) | 3.18176 | − | 3.67195i | 0.165189 | − | 0.190638i | ||||
\(372\) | −14.3343 | − | 9.21213i | −0.743201 | − | 0.477626i | ||||
\(373\) | −2.53997 | + | 17.6659i | −0.131515 | + | 0.914706i | 0.812066 | + | 0.583565i | \(0.198343\pi\) |
−0.943581 | + | 0.331141i | \(0.892566\pi\) | |||||||
\(374\) | 12.6137 | − | 8.10632i | 0.652238 | − | 0.419168i | ||||
\(375\) | −4.93942 | − | 10.8158i | −0.255071 | − | 0.558527i | ||||
\(376\) | −0.634263 | − | 0.731978i | −0.0327096 | − | 0.0377489i | ||||
\(377\) | 2.85333 | + | 19.8453i | 0.146954 | + | 1.02209i | ||||
\(378\) | 2.66609 | − | 5.83793i | 0.137129 | − | 0.300271i | ||||
\(379\) | 21.1535 | − | 6.21123i | 1.08658 | − | 0.319050i | 0.311074 | − | 0.950386i | \(-0.399311\pi\) |
0.775509 | + | 0.631336i | \(0.217493\pi\) | |||||||
\(380\) | 24.4306 | − | 7.17346i | 1.25326 | − | 0.367991i | ||||
\(381\) | −7.56760 | + | 16.5707i | −0.387700 | + | 0.848945i | ||||
\(382\) | −0.912687 | − | 6.34788i | −0.0466971 | − | 0.324786i | ||||
\(383\) | 6.06799 | + | 7.00284i | 0.310060 | + | 0.357828i | 0.889296 | − | 0.457331i | \(-0.151195\pi\) |
−0.579236 | + | 0.815160i | \(0.696649\pi\) | |||||||
\(384\) | 0.369818 | + | 0.809788i | 0.0188722 | + | 0.0413243i | ||||
\(385\) | 9.04919 | − | 5.81556i | 0.461190 | − | 0.296389i | ||||
\(386\) | −1.23485 | + | 8.58860i | −0.0628524 | + | 0.437148i | ||||
\(387\) | −3.13616 | − | 2.01549i | −0.159420 | − | 0.102453i | ||||
\(388\) | −1.54654 | + | 1.78480i | −0.0785135 | + | 0.0906094i | ||||
\(389\) | −23.3799 | − | 6.86495i | −1.18541 | − | 0.348067i | −0.371150 | − | 0.928573i | \(-0.621037\pi\) |
−0.814256 | + | 0.580506i | \(0.802855\pi\) | |||||||
\(390\) | −10.5562 | −0.534533 | ||||||||
\(391\) | 16.9077 | + | 14.5057i | 0.855059 | + | 0.733585i | ||||
\(392\) | −0.383367 | −0.0193629 | ||||||||
\(393\) | −1.39361 | − | 0.409201i | −0.0702983 | − | 0.0206414i | ||||
\(394\) | 27.9296 | − | 32.2324i | 1.40707 | − | 1.62385i | ||||
\(395\) | 15.4845 | + | 9.95126i | 0.779108 | + | 0.500702i | ||||
\(396\) | −0.449657 | + | 3.12744i | −0.0225961 | + | 0.157160i | ||||
\(397\) | 23.5996 | − | 15.1666i | 1.18443 | − | 0.761188i | 0.208235 | − | 0.978079i | \(-0.433228\pi\) |
0.976196 | + | 0.216891i | \(0.0695916\pi\) | |||||||
\(398\) | 5.23417 | + | 11.4612i | 0.262365 | + | 0.574499i | ||||
\(399\) | 13.5356 | + | 15.6209i | 0.677626 | + | 0.782023i | ||||
\(400\) | −0.471397 | − | 3.27864i | −0.0235699 | − | 0.163932i | ||||
\(401\) | 5.48424 | − | 12.0088i | 0.273870 | − | 0.599691i | −0.721857 | − | 0.692042i | \(-0.756711\pi\) |
0.995726 | + | 0.0923515i | \(0.0294384\pi\) | |||||||
\(402\) | −7.10680 | + | 2.08675i | −0.354455 | + | 0.104077i | ||||
\(403\) | −21.8295 | + | 6.40971i | −1.08740 | + | 0.319290i | ||||
\(404\) | 6.14824 | − | 13.4628i | 0.305886 | − | 0.669798i | ||||
\(405\) | −0.291446 | − | 2.02705i | −0.0144821 | − | 0.100725i | ||||
\(406\) | −32.4646 | − | 37.4661i | −1.61119 | − | 1.85941i | ||||
\(407\) | 5.38167 | + | 11.7842i | 0.266760 | + | 0.584122i | ||||
\(408\) | −0.435025 | + | 0.279574i | −0.0215370 | + | 0.0138410i | ||||
\(409\) | −2.81719 | + | 19.5940i | −0.139301 | + | 0.968861i | 0.793526 | + | 0.608537i | \(0.208243\pi\) |
−0.932827 | + | 0.360324i | \(0.882666\pi\) | |||||||
\(410\) | −9.79718 | − | 6.29627i | −0.483848 | − | 0.310950i | ||||
\(411\) | 2.93074 | − | 3.38225i | 0.144563 | − | 0.166834i | ||||
\(412\) | −20.2248 | − | 5.93854i | −0.996405 | − | 0.292571i | ||||
\(413\) | 16.2411 | 0.799172 | ||||||||
\(414\) | −9.42050 | + | 1.40176i | −0.462992 | + | 0.0688929i | ||||
\(415\) | −31.4065 | −1.54168 | ||||||||
\(416\) | −19.7679 | − | 5.80437i | −0.969199 | − | 0.284583i | ||||
\(417\) | −3.80864 | + | 4.39541i | −0.186510 | + | 0.215244i | ||||
\(418\) | −17.3676 | − | 11.1615i | −0.849478 | − | 0.545926i | ||||
\(419\) | −0.651232 | + | 4.52942i | −0.0318147 | + | 0.221276i | −0.999526 | − | 0.0307848i | \(-0.990199\pi\) |
0.967711 | + | 0.252061i | \(0.0811084\pi\) | |||||||
\(420\) | 10.8230 | − | 6.95549i | 0.528106 | − | 0.339393i | ||||
\(421\) | 2.66275 | + | 5.83061i | 0.129774 | + | 0.284166i | 0.963354 | − | 0.268233i | \(-0.0864397\pi\) |
−0.833580 | + | 0.552399i | \(0.813712\pi\) | |||||||
\(422\) | 19.2032 | + | 22.1617i | 0.934799 | + | 1.07882i | ||||
\(423\) | 1.23818 | + | 8.61175i | 0.0602025 | + | 0.418717i | ||||
\(424\) | 0.0695280 | − | 0.152245i | 0.00337658 | − | 0.00739367i | ||||
\(425\) | 3.59292 | − | 1.05498i | 0.174282 | − | 0.0511739i | ||||
\(426\) | 2.34998 | − | 0.690016i | 0.113857 | − | 0.0334314i | ||||
\(427\) | −11.3565 | + | 24.8672i | −0.549578 | + | 1.20341i | ||||
\(428\) | −1.27065 | − | 8.83754i | −0.0614190 | − | 0.427179i | ||||
\(429\) | 2.76268 | + | 3.18830i | 0.133383 | + | 0.153933i | ||||
\(430\) | −6.29835 | − | 13.7915i | −0.303734 | − | 0.665084i | ||||
\(431\) | −9.49712 | + | 6.10343i | −0.457460 | + | 0.293992i | −0.749004 | − | 0.662566i | \(-0.769468\pi\) |
0.291544 | + | 0.956558i | \(0.405831\pi\) | |||||||
\(432\) | 0.584767 | − | 4.06715i | 0.0281346 | − | 0.195681i | ||||
\(433\) | −3.84775 | − | 2.47280i | −0.184911 | − | 0.118835i | 0.444910 | − | 0.895575i | \(-0.353236\pi\) |
−0.629821 | + | 0.776740i | \(0.716872\pi\) | |||||||
\(434\) | 36.8391 | − | 42.5146i | 1.76833 | − | 2.04077i | ||||
\(435\) | −15.1781 | − | 4.45669i | −0.727734 | − | 0.213682i | ||||
\(436\) | 1.64128 | 0.0786031 | ||||||||
\(437\) | 8.49696 | − | 29.4732i | 0.406465 | − | 1.40989i | ||||
\(438\) | 23.4557 | 1.12076 | ||||||||
\(439\) | 1.65787 | + | 0.486795i | 0.0791258 | + | 0.0232334i | 0.321056 | − | 0.947060i | \(-0.395962\pi\) |
−0.241930 | + | 0.970294i | \(0.577780\pi\) | |||||||
\(440\) | 0.242656 | − | 0.280039i | 0.0115682 | − | 0.0133504i | ||||
\(441\) | 2.89704 | + | 1.86182i | 0.137954 | + | 0.0886579i | ||||
\(442\) | 3.40762 | − | 23.7005i | 0.162084 | − | 1.12732i | ||||
\(443\) | 9.26899 | − | 5.95682i | 0.440383 | − | 0.283017i | −0.301601 | − | 0.953434i | \(-0.597521\pi\) |
0.741984 | + | 0.670417i | \(0.233885\pi\) | |||||||
\(444\) | 6.43655 | + | 14.0941i | 0.305465 | + | 0.668875i | ||||
\(445\) | 3.50313 | + | 4.04283i | 0.166064 | + | 0.191648i | ||||
\(446\) | 5.46768 | + | 38.0286i | 0.258902 | + | 1.80070i | ||||
\(447\) | −0.0137899 | + | 0.0301957i | −0.000652240 | + | 0.00142821i | ||||
\(448\) | 23.3967 | − | 6.86989i | 1.10539 | − | 0.324572i | ||||
\(449\) | −13.0534 | + | 3.83284i | −0.616030 | + | 0.180883i | −0.574836 | − | 0.818268i | \(-0.694934\pi\) |
−0.0411937 | + | 0.999151i | \(0.513116\pi\) | |||||||
\(450\) | −0.665046 | + | 1.45625i | −0.0313506 | + | 0.0686482i | ||||
\(451\) | 0.662368 | + | 4.60687i | 0.0311897 | + | 0.216929i | ||||
\(452\) | −14.1700 | − | 16.3530i | −0.666500 | − | 0.769182i | ||||
\(453\) | 6.25711 | + | 13.7012i | 0.293985 | + | 0.643737i | ||||
\(454\) | −16.2313 | + | 10.4312i | −0.761774 | + | 0.489563i | ||||
\(455\) | 2.44467 | − | 17.0030i | 0.114608 | − | 0.797114i | ||||
\(456\) | 0.598981 | + | 0.384942i | 0.0280499 | + | 0.0180266i | ||||
\(457\) | −16.8885 | + | 19.4903i | −0.790009 | + | 0.911719i | −0.997789 | − | 0.0664563i | \(-0.978831\pi\) |
0.207780 | + | 0.978176i | \(0.433376\pi\) | |||||||
\(458\) | −10.1294 | − | 2.97427i | −0.473317 | − | 0.138978i | ||||
\(459\) | 4.64517 | 0.216818 | ||||||||
\(460\) | −17.4056 | − | 7.84571i | −0.811542 | − | 0.365808i | ||||
\(461\) | 38.6842 | 1.80170 | 0.900851 | − | 0.434129i | \(-0.142944\pi\) | ||||
0.900851 | + | 0.434129i | \(0.142944\pi\) | |||||||
\(462\) | −10.0088 | − | 2.93885i | −0.465652 | − | 0.136728i | ||||
\(463\) | −7.06213 | + | 8.15014i | −0.328205 | + | 0.378769i | −0.895738 | − | 0.444582i | \(-0.853352\pi\) |
0.567533 | + | 0.823351i | \(0.307898\pi\) | |||||||
\(464\) | −26.7010 | − | 17.1597i | −1.23956 | − | 0.796619i | ||||
\(465\) | 2.55461 | − | 17.7677i | 0.118467 | − | 0.823958i | ||||
\(466\) | −28.1467 | + | 18.0888i | −1.30387 | + | 0.837947i | ||||
\(467\) | 6.21336 | + | 13.6054i | 0.287520 | + | 0.629581i | 0.997187 | − | 0.0749564i | \(-0.0238818\pi\) |
−0.709667 | + | 0.704538i | \(0.751154\pi\) | |||||||
\(468\) | 3.30420 | + | 3.81325i | 0.152737 | + | 0.176268i | ||||
\(469\) | −1.71532 | − | 11.9303i | −0.0792061 | − | 0.550890i | ||||
\(470\) | −14.6991 | + | 32.1864i | −0.678017 | + | 1.48465i | ||||
\(471\) | 14.9745 | − | 4.39690i | 0.689988 | − | 0.202599i | ||||
\(472\) | 0.536804 | − | 0.157620i | 0.0247084 | − | 0.00725504i | ||||
\(473\) | −2.51711 | + | 5.51170i | −0.115737 | + | 0.253428i | ||||
\(474\) | −2.54025 | − | 17.6679i | −0.116678 | − | 0.811511i | ||||
\(475\) | −3.37639 | − | 3.89657i | −0.154920 | − | 0.178787i | ||||
\(476\) | 12.1226 | + | 26.5448i | 0.555638 | + | 1.21668i | ||||
\(477\) | −1.26479 | + | 0.812831i | −0.0579107 | + | 0.0372170i | ||||
\(478\) | −4.02771 | + | 28.0134i | −0.184223 | + | 1.28130i | ||||
\(479\) | −35.8617 | − | 23.0469i | −1.63856 | − | 1.05304i | −0.942036 | − | 0.335511i | \(-0.891091\pi\) |
−0.696528 | − | 0.717530i | \(-0.745273\pi\) | |||||||
\(480\) | 10.6449 | − | 12.2848i | 0.485870 | − | 0.560724i | ||||
\(481\) | 19.8501 | + | 5.82852i | 0.905087 | + | 0.265758i | ||||
\(482\) | 53.4196 | 2.43320 | ||||||||
\(483\) | −0.0761880 | − | 15.4984i | −0.00346667 | − | 0.705201i | ||||
\(484\) | −16.2479 | −0.738542 | ||||||||
\(485\) | −2.38713 | − | 0.700926i | −0.108394 | − | 0.0318274i | ||||
\(486\) | −1.30051 | + | 1.50087i | −0.0589924 | + | 0.0680809i | ||||
\(487\) | −27.7611 | − | 17.8410i | −1.25797 | − | 0.808451i | −0.269968 | − | 0.962869i | \(-0.587013\pi\) |
−0.988006 | + | 0.154418i | \(0.950650\pi\) | |||||||
\(488\) | −0.134020 | + | 0.932129i | −0.00606680 | + | 0.0421955i | ||||
\(489\) | 11.6305 | − | 7.47446i | 0.525949 | − | 0.338007i | ||||
\(490\) | 5.81813 | + | 12.7399i | 0.262836 | + | 0.575531i | ||||
\(491\) | −19.9564 | − | 23.0310i | −0.900622 | − | 1.03937i | −0.999022 | − | 0.0442260i | \(-0.985918\pi\) |
0.0983997 | − | 0.995147i | \(-0.468628\pi\) | |||||||
\(492\) | 0.792201 | + | 5.50988i | 0.0357152 | + | 0.248405i | ||||
\(493\) | 14.9057 | − | 32.6389i | 0.671318 | − | 1.46998i | ||||
\(494\) | −31.6331 | + | 9.28831i | −1.42324 | + | 0.417901i | ||||
\(495\) | −3.19372 | + | 0.937761i | −0.143547 | + | 0.0421492i | ||||
\(496\) | 14.9617 | − | 32.7617i | 0.671802 | − | 1.47104i | ||||
\(497\) | 0.567198 | + | 3.94495i | 0.0254423 | + | 0.176955i | ||||
\(498\) | 19.9446 | + | 23.0173i | 0.893741 | + | 1.03143i | ||||
\(499\) | −11.1079 | − | 24.3229i | −0.497258 | − | 1.08884i | −0.977351 | − | 0.211626i | \(-0.932124\pi\) |
0.480092 | − | 0.877218i | \(-0.340603\pi\) | |||||||
\(500\) | −19.4449 | + | 12.4965i | −0.869601 | + | 0.558858i | ||||
\(501\) | −0.370430 | + | 2.57640i | −0.0165496 | + | 0.115105i | ||||
\(502\) | 10.3165 | + | 6.62999i | 0.460446 | + | 0.295911i | ||||
\(503\) | −19.8916 | + | 22.9561i | −0.886922 | + | 1.02356i | 0.112630 | + | 0.993637i | \(0.464073\pi\) |
−0.999552 | + | 0.0299259i | \(0.990473\pi\) | |||||||
\(504\) | 0.345188 | + | 0.101356i | 0.0153759 | + | 0.00451477i | ||||
\(505\) | 15.5917 | 0.693820 | ||||||||
\(506\) | 4.43424 | + | 14.8315i | 0.197126 | + | 0.659342i | ||||
\(507\) | −6.26298 | −0.278149 | ||||||||
\(508\) | 33.9783 | + | 9.97693i | 1.50754 | + | 0.442655i | ||||
\(509\) | −10.9695 | + | 12.6595i | −0.486215 | + | 0.561122i | −0.944850 | − | 0.327503i | \(-0.893793\pi\) |
0.458635 | + | 0.888625i | \(0.348338\pi\) | |||||||
\(510\) | 15.8928 | + | 10.2137i | 0.703747 | + | 0.452271i | ||||
\(511\) | −5.43202 | + | 37.7806i | −0.240299 | + | 1.67131i | ||||
\(512\) | 26.6678 | − | 17.1384i | 1.17856 | − | 0.757417i | ||||
\(513\) | −2.65694 | − | 5.81790i | −0.117307 | − | 0.256866i | ||||
\(514\) | 12.4197 | + | 14.3331i | 0.547809 | + | 0.632205i | ||||
\(515\) | −3.16021 | − | 21.9798i | −0.139256 | − | 0.968545i | ||||
\(516\) | −3.01050 | + | 6.59207i | −0.132530 | + | 0.290199i | ||||
\(517\) | 13.5683 | − | 3.98400i | 0.596731 | − | 0.175216i | ||||
\(518\) | −49.0820 | + | 14.4118i | −2.15654 | + | 0.633217i | ||||
\(519\) | −6.77044 | + | 14.8252i | −0.297189 | + | 0.650754i | ||||
\(520\) | −0.0842127 | − | 0.585712i | −0.00369297 | − | 0.0256852i | ||||
\(521\) | 7.75531 | + | 8.95011i | 0.339766 | + | 0.392111i | 0.899760 | − | 0.436386i | \(-0.143742\pi\) |
−0.559993 | + | 0.828497i | \(0.689196\pi\) | |||||||
\(522\) | 6.37258 | + | 13.9540i | 0.278920 | + | 0.610750i | ||||
\(523\) | 7.30361 | − | 4.69375i | 0.319365 | − | 0.205243i | −0.371130 | − | 0.928581i | \(-0.621029\pi\) |
0.690494 | + | 0.723338i | \(0.257393\pi\) | |||||||
\(524\) | −0.401822 | + | 2.79473i | −0.0175537 | + | 0.122088i | ||||
\(525\) | −2.19159 | − | 1.40845i | −0.0956487 | − | 0.0614697i | ||||
\(526\) | −3.74466 | + | 4.32156i | −0.163275 | + | 0.188429i | ||||
\(527\) | 39.0671 | + | 11.4711i | 1.70179 | + | 0.499690i | ||||
\(528\) | −6.67853 | −0.290646 | ||||||||
\(529\) | −19.2256 | + | 12.6244i | −0.835898 | + | 0.548885i | ||||
\(530\) | −6.11455 | −0.265599 | ||||||||
\(531\) | −4.82203 | − | 1.41588i | −0.209258 | − | 0.0614437i | ||||
\(532\) | 26.3124 | − | 30.3661i | 1.14079 | − | 1.31654i | ||||
\(533\) | 6.25262 | + | 4.01832i | 0.270831 | + | 0.174053i | ||||
\(534\) | 0.738270 | − | 5.13478i | 0.0319481 | − | 0.222204i | ||||
\(535\) | 7.91271 | − | 5.08519i | 0.342096 | − | 0.219852i | ||||
\(536\) | −0.172479 | − | 0.377676i | −0.00744994 | − | 0.0163131i | ||||
\(537\) | 3.75894 | + | 4.33805i | 0.162210 | + | 0.187201i | ||||
\(538\) | −2.43877 | − | 16.9621i | −0.105143 | − | 0.731286i | ||||
\(539\) | 2.32519 | − | 5.09145i | 0.100153 | − | 0.219304i | ||||
\(540\) | −3.81973 | + | 1.12158i | −0.164375 | + | 0.0482649i | ||||
\(541\) | 30.6995 | − | 9.01419i | 1.31988 | − | 0.387550i | 0.455427 | − | 0.890273i | \(-0.349486\pi\) |
0.864448 | + | 0.502723i | \(0.167668\pi\) | |||||||
\(542\) | −6.19219 | + | 13.5590i | −0.265977 | + | 0.582409i | ||||
\(543\) | −1.65672 | − | 11.5227i | −0.0710965 | − | 0.494487i | ||||
\(544\) | 24.1454 | + | 27.8653i | 1.03523 | + | 1.19471i | ||||
\(545\) | 0.718272 | + | 1.57280i | 0.0307674 | + | 0.0673712i | ||||
\(546\) | −14.0137 | + | 9.00608i | −0.599732 | + | 0.385425i | ||||
\(547\) | −2.94629 | + | 20.4919i | −0.125974 | + | 0.876169i | 0.824610 | + | 0.565702i | \(0.191395\pi\) |
−0.950584 | + | 0.310467i | \(0.899514\pi\) | |||||||
\(548\) | −7.31877 | − | 4.70349i | −0.312643 | − | 0.200923i | ||||
\(549\) | 5.53965 | − | 6.39309i | 0.236426 | − | 0.272851i | ||||
\(550\) | 2.49666 | + | 0.733085i | 0.106458 | + | 0.0312588i | ||||
\(551\) | −49.4047 | −2.10471 | ||||||||
\(552\) | −0.152930 | − | 0.511516i | −0.00650913 | − | 0.0217716i | ||||
\(553\) | 29.0462 | 1.23517 | ||||||||
\(554\) | 14.6192 | + | 4.29259i | 0.621111 | + | 0.182375i | ||||
\(555\) | −10.6892 | + | 12.3360i | −0.453730 | + | 0.523632i | ||||
\(556\) | 9.51113 | + | 6.11243i | 0.403362 | + | 0.259225i | ||||
\(557\) | 3.33433 | − | 23.1908i | 0.141280 | − | 0.982625i | −0.788638 | − | 0.614858i | \(-0.789213\pi\) |
0.929918 | − | 0.367767i | \(-0.119878\pi\) | |||||||
\(558\) | −14.6440 | + | 9.41112i | −0.619930 | + | 0.398405i | ||||
\(559\) | 4.01965 | + | 8.80180i | 0.170013 | + | 0.372277i | ||||
\(560\) | 17.8081 | + | 20.5516i | 0.752529 | + | 0.868464i | ||||
\(561\) | −1.07448 | − | 7.47320i | −0.0453647 | − | 0.315519i | ||||
\(562\) | −19.0171 | + | 41.6416i | −0.802187 | + | 1.75654i | ||||
\(563\) | 18.3162 | − | 5.37813i | 0.771937 | − | 0.226661i | 0.128035 | − | 0.991770i | \(-0.459133\pi\) |
0.643901 | + | 0.765109i | \(0.277315\pi\) | |||||||
\(564\) | 16.2278 | − | 4.76492i | 0.683314 | − | 0.200639i | ||||
\(565\) | 9.46949 | − | 20.7353i | 0.398384 | − | 0.872340i | ||||
\(566\) | −2.19288 | − | 15.2518i | −0.0921737 | − | 0.641082i | ||||
\(567\) | −2.11630 | − | 2.44234i | −0.0888761 | − | 0.102569i | ||||
\(568\) | 0.0570329 | + | 0.124885i | 0.00239305 | + | 0.00524004i | ||||
\(569\) | 12.8432 | − | 8.25385i | 0.538417 | − | 0.346020i | −0.243003 | − | 0.970026i | \(-0.578132\pi\) |
0.781419 | + | 0.624006i | \(0.214496\pi\) | |||||||
\(570\) | 3.70189 | − | 25.7472i | 0.155055 | − | 1.07843i | ||||
\(571\) | 27.3906 | + | 17.6029i | 1.14626 | + | 0.736658i | 0.968891 | − | 0.247486i | \(-0.0796045\pi\) |
0.177371 | + | 0.984144i | \(0.443241\pi\) | |||||||
\(572\) | 5.37050 | − | 6.19788i | 0.224552 | − | 0.259147i | ||||
\(573\) | −3.09848 | − | 0.909794i | −0.129441 | − | 0.0380072i | ||||
\(574\) | −18.3778 | −0.767076 | ||||||||
\(575\) | 0.0190048 | + | 3.86601i | 0.000792554 | + | 0.161224i | ||||
\(576\) | −7.54545 | −0.314394 | ||||||||
\(577\) | −37.1531 | − | 10.9091i | −1.54670 | − | 0.454153i | −0.606589 | − | 0.795015i | \(-0.707463\pi\) |
−0.940113 | + | 0.340863i | \(0.889281\pi\) | |||||||
\(578\) | −5.95325 | + | 6.87042i | −0.247623 | + | 0.285772i | ||||
\(579\) | 3.67559 | + | 2.36216i | 0.152752 | + | 0.0981679i | ||||
\(580\) | −4.37632 | + | 30.4380i | −0.181717 | + | 1.26387i | ||||
\(581\) | −41.6933 | + | 26.7947i | −1.72973 | + | 1.11163i | ||||
\(582\) | 1.00225 | + | 2.19462i | 0.0415445 | + | 0.0909697i | ||||
\(583\) | 1.60025 | + | 1.84679i | 0.0662756 | + | 0.0764862i | ||||
\(584\) | 0.187120 | + | 1.30145i | 0.00774308 | + | 0.0538543i | ||||
\(585\) | −2.20813 | + | 4.83512i | −0.0912947 | + | 0.199908i | ||||
\(586\) | −19.9579 | + | 5.86016i | −0.824452 | + | 0.242081i | ||||
\(587\) | 4.61318 | − | 1.35455i | 0.190406 | − | 0.0559083i | −0.185139 | − | 0.982712i | \(-0.559274\pi\) |
0.375545 | + | 0.926804i | \(0.377455\pi\) | |||||||
\(588\) | 2.78096 | − | 6.08944i | 0.114685 | − | 0.251124i | ||||
\(589\) | −7.97843 | − | 55.4912i | −0.328746 | − | 2.28648i | ||||
\(590\) | −13.3847 | − | 15.4468i | −0.551041 | − | 0.635935i | ||||
\(591\) | −8.92138 | − | 19.5351i | −0.366976 | − | 0.803566i | ||||
\(592\) | −27.5516 | + | 17.7063i | −1.13236 | + | 0.727726i | ||||
\(593\) | 4.47077 | − | 31.0949i | 0.183593 | − | 1.27691i | −0.664589 | − | 0.747209i | \(-0.731393\pi\) |
0.848182 | − | 0.529706i | \(-0.177698\pi\) | |||||||
\(594\) | 2.71544 | + | 1.74511i | 0.111416 | + | 0.0716026i | ||||
\(595\) | −20.1320 | + | 23.2335i | −0.825330 | + | 0.952481i | ||||
\(596\) | 0.0619163 | + | 0.0181803i | 0.00253619 | + | 0.000744692i | ||||
\(597\) | 6.34454 | 0.259665 | ||||||||
\(598\) | 22.5371 | + | 10.1587i | 0.921610 | + | 0.415422i | ||||
\(599\) | 38.0521 | 1.55477 | 0.777384 | − | 0.629026i | \(-0.216546\pi\) | ||||
0.777384 | + | 0.629026i | \(0.216546\pi\) | |||||||
\(600\) | −0.0861057 | − | 0.0252829i | −0.00351525 | − | 0.00103217i | ||||
\(601\) | 4.36534 | − | 5.03788i | 0.178066 | − | 0.205499i | −0.659699 | − | 0.751530i | \(-0.729316\pi\) |
0.837765 | + | 0.546031i | \(0.183862\pi\) | |||||||
\(602\) | −20.1276 | − | 12.9352i | −0.820340 | − | 0.527200i | ||||
\(603\) | −0.530783 | + | 3.69168i | −0.0216152 | + | 0.150337i | ||||
\(604\) | 24.6322 | − | 15.8301i | 1.00227 | − | 0.644119i | ||||
\(605\) | −7.11056 | − | 15.5700i | −0.289085 | − | 0.633009i | ||||
\(606\) | −9.90146 | − | 11.4269i | −0.402219 | − | 0.464186i | ||||
\(607\) | −0.942420 | − | 6.55468i | −0.0382517 | − | 0.266046i | 0.961716 | − | 0.274047i | \(-0.0883623\pi\) |
−0.999968 | + | 0.00800074i | \(0.997453\pi\) | |||||||
\(608\) | 21.0895 | − | 46.1796i | 0.855292 | − | 1.87283i | ||||
\(609\) | −23.9517 | + | 7.03287i | −0.970574 | + | 0.284986i | ||||
\(610\) | 33.0102 | − | 9.69266i | 1.33654 | − | 0.392444i | ||||
\(611\) | 9.38103 | − | 20.5416i | 0.379516 | − | 0.831024i | ||||
\(612\) | −1.28510 | − | 8.93804i | −0.0519469 | − | 0.361299i | ||||
\(613\) | −19.4706 | − | 22.4703i | −0.786410 | − | 0.907565i | 0.211145 | − | 0.977455i | \(-0.432281\pi\) |
−0.997555 | + | 0.0698897i | \(0.977735\pi\) | |||||||
\(614\) | −16.5861 | − | 36.3185i | −0.669361 | − | 1.46570i | ||||
\(615\) | −4.93328 | + | 3.17043i | −0.198929 | + | 0.127844i | ||||
\(616\) | 0.0832169 | − | 0.578786i | 0.00335291 | − | 0.0233200i | ||||
\(617\) | 40.9365 | + | 26.3083i | 1.64804 | + | 1.05913i | 0.932888 | + | 0.360168i | \(0.117281\pi\) |
0.715156 | + | 0.698965i | \(0.246356\pi\) | |||||||
\(618\) | −14.1018 | + | 16.2743i | −0.567256 | + | 0.654648i | ||||
\(619\) | −25.4383 | − | 7.46935i | −1.02245 | − | 0.300219i | −0.272813 | − | 0.962067i | \(-0.587954\pi\) |
−0.749638 | + | 0.661849i | \(0.769772\pi\) | |||||||
\(620\) | −34.8946 | −1.40140 | ||||||||
\(621\) | −1.32851 | + | 4.60815i | −0.0533111 | + | 0.184919i | ||||
\(622\) | −33.9237 | −1.36022 | ||||||||
\(623\) | 8.09971 | + | 2.37829i | 0.324508 | + | 0.0952841i | ||||
\(624\) | −6.98419 | + | 8.06018i | −0.279591 | + | 0.322665i | ||||
\(625\) | −17.0939 | − | 10.9856i | −0.683755 | − | 0.439422i | ||||
\(626\) | −3.00707 | + | 20.9146i | −0.120187 | + | 0.835916i | ||||
\(627\) | −8.74530 | + | 5.62026i | −0.349254 | + | 0.224452i | ||||
\(628\) | −12.6031 | − | 27.5969i | −0.502917 | − | 1.10123i | ||||
\(629\) | −24.2459 | − | 27.9812i | −0.966746 | − | 1.11568i | ||||
\(630\) | −1.87047 | − | 13.0094i | −0.0745213 | − | 0.518307i | ||||
\(631\) | 12.5343 | − | 27.4463i | 0.498982 | − | 1.09262i | −0.477816 | − | 0.878460i | \(-0.658572\pi\) |
0.976799 | − | 0.214159i | \(-0.0687012\pi\) | |||||||
\(632\) | 0.960040 | − | 0.281893i | 0.0381883 | − | 0.0112131i | ||||
\(633\) | 14.1678 | − | 4.16003i | 0.563119 | − | 0.165347i | ||||
\(634\) | 13.0138 | − | 28.4963i | 0.516844 | − | 1.13173i | ||||
\(635\) | 5.30926 | + | 36.9267i | 0.210692 | + | 1.46539i | ||||
\(636\) | 1.91392 | + | 2.20878i | 0.0758919 | + | 0.0875840i | ||||
\(637\) | −3.71317 | − | 8.13070i | −0.147121 | − | 0.322150i | ||||
\(638\) | 20.9753 | − | 13.4800i | 0.830419 | − | 0.533678i | ||||
\(639\) | 0.175512 | − | 1.22071i | 0.00694315 | − | 0.0482907i | ||||
\(640\) | 1.53370 | + | 0.985648i | 0.0606247 | + | 0.0389612i | ||||
\(641\) | 28.2677 | − | 32.6226i | 1.11651 | − | 1.28852i | 0.163171 | − | 0.986598i | \(-0.447828\pi\) |
0.953334 | − | 0.301918i | \(-0.0976269\pi\) | |||||||
\(642\) | −8.75182 | − | 2.56976i | −0.345407 | − | 0.101421i | ||||
\(643\) | −7.57458 | −0.298712 | −0.149356 | − | 0.988783i | \(-0.547720\pi\) | ||||
−0.149356 | + | 0.988783i | \(0.547720\pi\) | |||||||
\(644\) | −29.8003 | + | 4.43426i | −1.17429 | + | 0.174734i | ||||
\(645\) | −7.63448 | −0.300607 | ||||||||
\(646\) | 56.6121 | + | 16.6228i | 2.22737 | + | 0.654016i | ||||
\(647\) | −16.9543 | + | 19.5663i | −0.666541 | + | 0.769230i | −0.983831 | − | 0.179099i | \(-0.942682\pi\) |
0.317290 | + | 0.948329i | \(0.397227\pi\) | |||||||
\(648\) | −0.0936511 | − | 0.0601859i | −0.00367896 | − | 0.00236433i | ||||
\(649\) | −1.16248 | + | 8.08523i | −0.0456314 | + | 0.317373i | ||||
\(650\) | 3.49567 | − | 2.24653i | 0.137111 | − | 0.0881162i | ||||
\(651\) | −11.7673 | − | 25.7668i | −0.461197 | − | 1.00988i | ||||
\(652\) | −17.5996 | − | 20.3111i | −0.689255 | − | 0.795442i | ||||
\(653\) | 6.40456 | + | 44.5447i | 0.250630 | + | 1.74317i | 0.594449 | + | 0.804134i | \(0.297370\pi\) |
−0.343819 | + | 0.939036i | \(0.611721\pi\) | |||||||
\(654\) | 0.696541 | − | 1.52521i | 0.0272369 | − | 0.0596405i | ||||
\(655\) | −2.85397 | + | 0.838000i | −0.111514 | + | 0.0327434i | ||||
\(656\) | −11.2895 | + | 3.31491i | −0.440782 | + | 0.129425i | ||||
\(657\) | 4.90644 | − | 10.7436i | 0.191418 | − | 0.419148i | ||||
\(658\) | 7.94653 | + | 55.2693i | 0.309788 | + | 2.15462i | ||||
\(659\) | 20.2462 | + | 23.3653i | 0.788679 | + | 0.910184i | 0.997704 | − | 0.0677265i | \(-0.0215745\pi\) |
−0.209025 | + | 0.977910i | \(0.567029\pi\) | |||||||
\(660\) | 2.68795 | + | 5.88579i | 0.104628 | + | 0.229104i | ||||
\(661\) | −9.43193 | + | 6.06153i | −0.366860 | + | 0.235766i | −0.711062 | − | 0.703129i | \(-0.751786\pi\) |
0.344203 | + | 0.938895i | \(0.388149\pi\) | |||||||
\(662\) | 3.48449 | − | 24.2351i | 0.135428 | − | 0.941926i | ||||
\(663\) | −10.1429 | − | 6.51845i | −0.393918 | − | 0.253156i | ||||
\(664\) | −1.11801 | + | 1.29026i | −0.0433873 | + | 0.0500716i | ||||
\(665\) | 40.6141 | + | 11.9254i | 1.57495 | + | 0.462447i | ||||
\(666\) | 15.8290 | 0.613360 | ||||||||
\(667\) | 28.1158 | + | 24.1215i | 1.08865 | + | 0.933988i | ||||
\(668\) | 5.05988 | 0.195773 | ||||||||
\(669\) | 18.5622 | + | 5.45035i | 0.717656 | + | 0.210723i | ||||
\(670\) | −9.93320 | + | 11.4635i | −0.383753 | + | 0.442874i | ||||
\(671\) | −11.5667 | − | 7.43344i | −0.446526 | − | 0.286965i | ||||
\(672\) | 3.65058 | − | 25.3903i | 0.140824 | − | 0.979454i | ||||
\(673\) | 5.55352 | − | 3.56903i | 0.214073 | − | 0.137576i | −0.429211 | − | 0.903204i | \(-0.641208\pi\) |
0.643283 | + | 0.765628i | \(0.277572\pi\) | |||||||
\(674\) | 24.2503 | + | 53.1008i | 0.934088 | + | 2.04537i | ||||
\(675\) | 0.527902 | + | 0.609231i | 0.0203189 | + | 0.0234493i | ||||
\(676\) | 1.73267 | + | 12.0510i | 0.0666410 | + | 0.463498i | ||||
\(677\) | −12.0749 | + | 26.4404i | −0.464076 | + | 1.01619i | 0.522463 | + | 0.852662i | \(0.325013\pi\) |
−0.986539 | + | 0.163524i | \(0.947714\pi\) | |||||||
\(678\) | −21.2102 | + | 6.22787i | −0.814571 | + | 0.239180i | ||||
\(679\) | −3.76701 | + | 1.10609i | −0.144565 | + | 0.0424480i | ||||
\(680\) | −0.439924 | + | 0.963299i | −0.0168703 | + | 0.0369408i | ||||
\(681\) | 1.38265 | + | 9.61654i | 0.0529832 | + | 0.368507i | ||||
\(682\) | 18.5280 | + | 21.3825i | 0.709475 | + | 0.818778i | ||||
\(683\) | −5.13709 | − | 11.2487i | −0.196565 | − | 0.430418i | 0.785525 | − | 0.618830i | \(-0.212393\pi\) |
−0.982090 | + | 0.188412i | \(0.939666\pi\) | |||||||
\(684\) | −10.4595 | + | 6.72191i | −0.399929 | + | 0.257019i | ||||
\(685\) | 1.30432 | − | 9.07177i | 0.0498357 | − | 0.346615i | ||||
\(686\) | −19.2006 | − | 12.3395i | −0.733084 | − | 0.471124i | ||||
\(687\) | −3.48118 | + | 4.01749i | −0.132815 | + | 0.153277i | ||||
\(688\) | −14.6976 | − | 4.31561i | −0.560341 | − | 0.164531i | ||||
\(689\) | 3.90234 | 0.148667 | ||||||||
\(690\) | −14.6776 | + | 12.8451i | −0.558767 | + | 0.489005i | ||||
\(691\) | 28.7504 | 1.09372 | 0.546858 | − | 0.837225i | \(-0.315824\pi\) | ||||
0.546858 | + | 0.837225i | \(0.315824\pi\) | |||||||
\(692\) | 30.3991 | + | 8.92597i | 1.15560 | + | 0.339314i | ||||
\(693\) | −3.43973 | + | 3.96966i | −0.130665 | + | 0.150795i | ||||
\(694\) | 50.0941 | + | 32.1935i | 1.90155 | + | 1.22205i | ||||
\(695\) | −1.69504 | + | 11.7892i | −0.0642964 | + | 0.447191i | ||||
\(696\) | −0.723403 | + | 0.464903i | −0.0274205 | + | 0.0176221i | ||||
\(697\) | −5.52567 | − | 12.0995i | −0.209300 | − | 0.458303i | ||||
\(698\) | −11.6504 | − | 13.4452i | −0.440973 | − | 0.508910i | ||||
\(699\) | 2.39765 | + | 16.6760i | 0.0906874 | + | 0.630745i | ||||
\(700\) | −2.10377 | + | 4.60661i | −0.0795149 | + | 0.174113i | ||||
\(701\) | −27.4145 | + | 8.04963i | −1.03543 | + | 0.304030i | −0.754918 | − | 0.655819i | \(-0.772323\pi\) |
−0.280515 | + | 0.959850i | \(0.590505\pi\) | |||||||
\(702\) | 4.94585 | − | 1.45223i | 0.186669 | − | 0.0548110i | ||||
\(703\) | −21.1772 | + | 46.3717i | −0.798715 | + | 1.74894i | ||||
\(704\) | 1.74535 | + | 12.1392i | 0.0657804 | + | 0.457513i | ||||
\(705\) | 11.6679 | + | 13.4654i | 0.439437 | + | 0.507137i | ||||
\(706\) | −7.90196 | − | 17.3029i | −0.297394 | − | 0.651202i | ||||
\(707\) | 20.6985 | − | 13.3021i | 0.778448 | − | 0.500278i | ||||
\(708\) | −1.39034 | + | 9.67005i | −0.0522523 | + | 0.363423i | ||||
\(709\) | 23.0015 | + | 14.7822i | 0.863840 | + | 0.555156i | 0.895863 | − | 0.444331i | \(-0.146559\pi\) |
−0.0320229 | + | 0.999487i | \(0.510195\pi\) | |||||||
\(710\) | 3.28457 | − | 3.79060i | 0.123268 | − | 0.142259i | ||||
\(711\) | −8.62389 | − | 2.53220i | −0.323421 | − | 0.0949651i | ||||
\(712\) | 0.290794 | 0.0108980 | ||||||||
\(713\) | −22.5528 | + | 35.4750i | −0.844608 | + | 1.32855i | ||||
\(714\) | 29.8123 | 1.11570 | ||||||||
\(715\) | 8.28955 | + | 2.43403i | 0.310012 | + | 0.0910276i | ||||
\(716\) | 7.30717 | − | 8.43292i | 0.273082 | − | 0.315153i | ||||
\(717\) | 11.9886 | + | 7.70463i | 0.447724 | + | 0.287735i | ||||
\(718\) | 3.98244 | − | 27.6985i | 0.148623 | − | 1.03370i | ||||
\(719\) | −28.0260 | + | 18.0112i | −1.04519 | + | 0.671704i | −0.946266 | − | 0.323391i | \(-0.895177\pi\) |
−0.0989264 | + | 0.995095i | \(0.531541\pi\) | |||||||
\(720\) | −3.49561 | − | 7.65431i | −0.130274 | − | 0.285259i | ||||
\(721\) | −22.9475 | − | 26.4828i | −0.854610 | − | 0.986272i | ||||
\(722\) | −6.19161 | − | 43.0636i | −0.230428 | − | 1.60266i | ||||
\(723\) | 11.1742 | − | 24.4681i | 0.415574 | − | 0.909980i | ||||
\(724\) | −21.7132 | + | 6.37557i | −0.806965 | + | 0.236946i | ||||
\(725\) | 5.97466 | − | 1.75432i | 0.221893 | − | 0.0651538i | ||||
\(726\) | −6.89544 | + | 15.0989i | −0.255914 | + | 0.560373i | ||||
\(727\) | 3.27954 | + | 22.8097i | 0.121632 | + | 0.845966i | 0.955708 | + | 0.294317i | \(0.0950921\pi\) |
−0.834076 | + | 0.551649i | \(0.813999\pi\) | |||||||
\(728\) | −0.611500 | − | 0.705709i | −0.0226637 | − | 0.0261553i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | 40.4095 | − | 25.9696i | 1.49562 | − | 0.961179i | ||||
\(731\) | 2.46447 | − | 17.1408i | 0.0911518 | − | 0.633975i | ||||
\(732\) | −13.8339 | − | 8.89049i | −0.511315 | − | 0.328602i | ||||
\(733\) | 6.62114 | − | 7.64120i | 0.244557 | − | 0.282234i | −0.620179 | − | 0.784460i | \(-0.712940\pi\) |
0.864736 | + | 0.502226i | \(0.167485\pi\) | |||||||
\(734\) | −15.9813 | − | 4.69254i | −0.589881 | − | 0.173205i | ||||
\(735\) | 7.05238 | 0.260131 | ||||||||
\(736\) | −34.5488 | + | 15.9836i | −1.27348 | + | 0.589164i | ||||
\(737\) | 6.06199 | 0.223296 | ||||||||
\(738\) | 5.45643 | + | 1.60215i | 0.200854 | + | 0.0589760i | ||||
\(739\) | −3.15006 | + | 3.63536i | −0.115877 | + | 0.133729i | −0.810724 | − | 0.585428i | \(-0.800926\pi\) |
0.694847 | + | 0.719157i | \(0.255472\pi\) | |||||||
\(740\) | 26.6935 | + | 17.1549i | 0.981272 | + | 0.630626i | ||||
\(741\) | −2.36257 | + | 16.4320i | −0.0867911 | + | 0.603645i | ||||
\(742\) | −8.11730 | + | 5.21667i | −0.297995 | + | 0.191510i | ||||
\(743\) | −11.0854 | − | 24.2735i | −0.406682 | − | 0.890510i | −0.996549 | − | 0.0830089i | \(-0.973547\pi\) |
0.589867 | − | 0.807501i | \(-0.299180\pi\) | |||||||
\(744\) | −0.639002 | − | 0.737448i | −0.0234269 | − | 0.0270361i | ||||
\(745\) | 0.00967469 | + | 0.0672889i | 0.000354453 | + | 0.00246528i | ||||
\(746\) | 14.7240 | − | 32.2411i | 0.539085 | − | 1.18043i | ||||
\(747\) | 14.7148 | − | 4.32065i | 0.538386 | − | 0.158084i | ||||
\(748\) | −14.0823 | + | 4.13495i | −0.514902 | + | 0.151189i | ||||
\(749\) | 6.16596 | − | 13.5016i | 0.225299 | − | 0.493337i | ||||
\(750\) | 3.36055 | + | 23.3731i | 0.122710 | + | 0.853465i | ||||
\(751\) | −13.6470 | − | 15.7495i | −0.497987 | − | 0.574707i | 0.449995 | − | 0.893031i | \(-0.351426\pi\) |
−0.947982 | + | 0.318323i | \(0.896880\pi\) | |||||||
\(752\) | 14.8508 | + | 32.5187i | 0.541552 | + | 1.18583i | ||||
\(753\) | 5.19476 | − | 3.33847i | 0.189308 | − | 0.121661i | ||||
\(754\) | 5.66653 | − | 39.4116i | 0.206363 | − | 1.43529i | ||||
\(755\) | 25.9493 | + | 16.6766i | 0.944393 | + | 0.606925i | ||||
\(756\) | −4.11396 | + | 4.74777i | −0.149623 | + | 0.172675i | ||||
\(757\) | −14.0513 | − | 4.12582i | −0.510701 | − | 0.149955i | 0.0162217 | − | 0.999868i | \(-0.494836\pi\) |
−0.526923 | + | 0.849913i | \(0.676654\pi\) | |||||||
\(758\) | −43.7831 | −1.59027 | ||||||||
\(759\) | 7.72094 | + | 1.07139i | 0.280252 | + | 0.0388890i | ||||
\(760\) | 1.45812 | 0.0528916 | ||||||||
\(761\) | −23.8070 | − | 6.99036i | −0.863003 | − | 0.253400i | −0.179866 | − | 0.983691i | \(-0.557566\pi\) |
−0.683137 | + | 0.730291i | \(0.739385\pi\) | |||||||
\(762\) | 23.6914 | − | 27.3413i | 0.858248 | − | 0.990471i | ||||
\(763\) | 2.29537 | + | 1.47515i | 0.0830982 | + | 0.0534039i | ||||
\(764\) | −0.893388 | + | 6.21365i | −0.0323217 | + | 0.224802i | ||||
\(765\) | 8.00269 | − | 5.14302i | 0.289338 | − | 0.185946i | ||||
\(766\) | −7.64440 | − | 16.7389i | −0.276204 | − | 0.604801i | ||||
\(767\) | 8.54222 | + | 9.85825i | 0.308442 | + | 0.355961i | ||||
\(768\) | −2.39926 | − | 16.6872i | −0.0865760 | − | 0.602149i | ||||
\(769\) | −11.3732 | + | 24.9037i | −0.410126 | + | 0.898052i | 0.586016 | + | 0.810300i | \(0.300696\pi\) |
−0.996142 | + | 0.0877520i | \(0.972032\pi\) | |||||||
\(770\) | −20.4970 | + | 6.01846i | −0.738660 | + | 0.216890i | ||||
\(771\) | 9.16301 | − | 2.69050i | 0.329998 | − | 0.0968961i | ||||
\(772\) | 3.52830 | − | 7.72591i | 0.126986 | − | 0.278062i | ||||
\(773\) | 1.28113 | + | 8.91045i | 0.0460790 | + | 0.320487i | 0.999804 | + | 0.0198058i | \(0.00630479\pi\) |
−0.953725 | + | 0.300681i | \(0.902786\pi\) | |||||||
\(774\) | 4.84826 | + | 5.59520i | 0.174267 | + | 0.201115i | ||||
\(775\) | 2.93531 | + | 6.42742i | 0.105439 | + | 0.230880i | ||||
\(776\) | −0.113773 | + | 0.0731176i | −0.00408422 | + | 0.00262477i | ||||
\(777\) | −3.66577 | + | 25.4960i | −0.131509 | + | 0.914663i | ||||
\(778\) | 40.7092 | + | 26.1622i | 1.45950 | + | 0.937960i | ||||
\(779\) | −11.9936 | + | 13.8414i | −0.429716 | + | 0.495919i | ||||
\(780\) | 9.91442 | + | 2.91114i | 0.354993 | + | 0.104235i | ||||
\(781\) | −2.00449 | −0.0717264 | ||||||||
\(782\) | −24.1015 | − | 37.1004i | −0.861868 | − | 1.32671i | ||||
\(783\) | 7.72445 | 0.276049 | ||||||||
\(784\) | 13.5770 | + | 3.98656i | 0.484892 | + | 0.142377i | ||||
\(785\) | 20.9299 | − | 24.1544i | 0.747019 | − | 0.862106i | ||||
\(786\) | 2.42656 | + | 1.55946i | 0.0865526 | + | 0.0556240i | ||||
\(787\) | 3.09178 | − | 21.5038i | 0.110210 | − | 0.766528i | −0.857504 | − | 0.514477i | \(-0.827986\pi\) |
0.967714 | − | 0.252050i | \(-0.0811049\pi\) | |||||||
\(788\) | −35.1205 | + | 22.5706i | −1.25111 | + | 0.804043i | ||||
\(789\) | 1.19613 | + | 2.61917i | 0.0425835 | + | 0.0932448i | ||||
\(790\) | −23.9378 | − | 27.6256i | −0.851667 | − | 0.982876i | ||||
\(791\) | −5.11935 | − | 35.6058i | −0.182023 | − | 1.26600i | ||||
\(792\) | −0.0751651 | + | 0.164589i | −0.00267087 | + | 0.00584840i | ||||
\(793\) | −21.0673 | + | 6.18592i | −0.748122 | + | 0.219668i | ||||
\(794\) | −53.4546 | + | 15.6957i | −1.89703 | + | 0.557020i | ||||
\(795\) | −1.27903 | + | 2.80069i | −0.0453626 | + | 0.0993302i | ||||
\(796\) | −1.75523 | − | 12.2079i | −0.0622125 | − | 0.432697i | ||||
\(797\) | −18.8971 | − | 21.8084i | −0.669369 | − | 0.772493i | 0.314909 | − | 0.949122i | \(-0.398026\pi\) |
−0.984277 | + | 0.176629i | \(0.943481\pi\) | |||||||
\(798\) | −17.0520 | − | 37.3387i | −0.603634 | − | 1.32177i | ||||
\(799\) | −33.9988 | + | 21.8497i | −1.20279 | + | 0.772986i | ||||
\(800\) | −0.910622 | + | 6.33352i | −0.0321954 | + | 0.223924i | ||||
\(801\) | −2.19749 | − | 1.41224i | −0.0776444 | − | 0.0498991i | ||||
\(802\) | −17.1691 | + | 19.8142i | −0.606263 | + | 0.699665i | ||||
\(803\) | −18.4193 | − | 5.40840i | −0.650003 | − | 0.190858i | ||||
\(804\) | 7.25022 | 0.255695 | ||||||||
\(805\) | −17.2907 | − | 26.6162i | −0.609416 | − | 0.938099i | ||||
\(806\) | 45.1821 | 1.59147 | ||||||||
\(807\) | −8.27938 | − | 2.43105i | −0.291448 | − | 0.0855769i | ||||
\(808\) | 0.555034 | − | 0.640544i | 0.0195260 | − | 0.0225342i | ||||
\(809\) | 29.2641 | + | 18.8069i | 1.02887 | + | 0.661215i | 0.942210 | − | 0.335023i | \(-0.108744\pi\) |
0.0866604 | + | 0.996238i | \(0.472380\pi\) | |||||||
\(810\) | −0.578793 | + | 4.02559i | −0.0203367 | + | 0.141445i | ||||
\(811\) | 9.27718 | − | 5.96208i | 0.325766 | − | 0.209357i | −0.367527 | − | 0.930013i | \(-0.619796\pi\) |
0.693293 | + | 0.720656i | \(0.256159\pi\) | |||||||
\(812\) | 20.1586 | + | 44.1413i | 0.707430 | + | 1.54905i | ||||
\(813\) | 4.91525 | + | 5.67250i | 0.172385 | + | 0.198943i | ||||
\(814\) | −3.66143 | − | 25.4658i | −0.128333 | − | 0.892576i | ||||
\(815\) | 11.7614 | − | 25.7540i | 0.411985 | − | 0.902122i | ||||
\(816\) | 18.3137 | − | 5.37739i | 0.641108 | − | 0.188246i | ||||
\(817\) | −22.8778 | + | 6.71752i | −0.800392 | + | 0.235016i | ||||
\(818\) | 16.3310 | − | 35.7600i | 0.571001 | − | 1.25032i | ||||
\(819\) | 1.19375 | + | 8.30268i | 0.0417128 | + | 0.290119i | ||||
\(820\) | 7.46520 | + | 8.61530i | 0.260696 | + | 0.300860i | ||||
\(821\) | 5.73009 | + | 12.5471i | 0.199981 | + | 0.437898i | 0.982879 | − | 0.184252i | \(-0.0589864\pi\) |
−0.782898 | + | 0.622151i | \(0.786259\pi\) | |||||||
\(822\) | −7.47687 | + | 4.80509i | −0.260786 | + | 0.167597i | ||||
\(823\) | 3.55362 | − | 24.7160i | 0.123871 | − | 0.861545i | −0.829233 | − | 0.558903i | \(-0.811222\pi\) |
0.953104 | − | 0.302642i | \(-0.0978686\pi\) | |||||||
\(824\) | −1.01548 | − | 0.652610i | −0.0353760 | − | 0.0227347i | ||||
\(825\) | 0.858027 | − | 0.990215i | 0.0298727 | − | 0.0344749i | ||||
\(826\) | −30.9473 | − | 9.08695i | −1.07679 | − | 0.316175i | ||||
\(827\) | −29.2203 | −1.01609 | −0.508045 | − | 0.861331i | \(-0.669631\pi\) | ||||
−0.508045 | + | 0.861331i | \(0.669631\pi\) | |||||||
\(828\) | 9.23435 | + | 1.28140i | 0.320916 | + | 0.0445317i | ||||
\(829\) | 16.9029 | 0.587063 | 0.293531 | − | 0.955949i | \(-0.405169\pi\) | ||||
0.293531 | + | 0.955949i | \(0.405169\pi\) | |||||||
\(830\) | 59.8448 | + | 17.5720i | 2.07724 | + | 0.609934i | ||||
\(831\) | 5.02419 | − | 5.79823i | 0.174287 | − | 0.201138i | ||||
\(832\) | 16.4758 | + | 10.5883i | 0.571195 | + | 0.367084i | ||||
\(833\) | −2.27657 | + | 15.8339i | −0.0788783 | + | 0.548611i | ||||
\(834\) | 9.71659 | − | 6.24447i | 0.336458 | − | 0.216228i | ||||
\(835\) | 2.21435 | + | 4.84875i | 0.0766307 | + | 0.167798i | ||||
\(836\) | 13.2337 | + | 15.2725i | 0.457696 | + | 0.528210i | ||||
\(837\) | 1.24743 | + | 8.67609i | 0.0431176 | + | 0.299890i | ||||
\(838\) | 3.77514 | − | 8.26640i | 0.130410 | − | 0.285558i | ||||
\(839\) | 1.52515 | − | 0.447825i | 0.0526540 | − | 0.0154606i | −0.255299 | − | 0.966862i | \(-0.582174\pi\) |
0.307953 | + | 0.951401i | \(0.400356\pi\) | |||||||
\(840\) | 0.706908 | − | 0.207567i | 0.0243907 | − | 0.00716174i | ||||
\(841\) | 12.7396 | − | 27.8958i | 0.439296 | − | 0.961925i | ||||
\(842\) | −1.81161 | − | 12.6000i | −0.0624320 | − | 0.434224i | ||||
\(843\) | 15.0954 | + | 17.4210i | 0.519914 | + | 0.600013i | ||||
\(844\) | −11.9241 | − | 26.1102i | −0.410445 | − | 0.898749i | ||||
\(845\) | −10.7899 | + | 6.93422i | −0.371182 | + | 0.238544i | ||||
\(846\) | 2.45895 | − | 17.1024i | 0.0845405 | − | 0.587992i | ||||
\(847\) | −22.7232 | − | 14.6033i | −0.780777 | − | 0.501775i | ||||
\(848\) | −4.04551 | + | 4.66877i | −0.138923 | + | 0.160326i | ||||
\(849\) | −7.44460 | − | 2.18593i | −0.255498 | − | 0.0750210i | ||||
\(850\) | −7.43654 | −0.255071 | ||||||||
\(851\) | 34.6925 | − | 16.0501i | 1.18924 | − | 0.550191i | ||||
\(852\) | −2.39740 | −0.0821336 | ||||||||
\(853\) | −17.4876 | − | 5.13482i | −0.598764 | − | 0.175813i | −0.0317146 | − | 0.999497i | \(-0.510097\pi\) |
−0.567049 | + | 0.823684i | \(0.691915\pi\) | |||||||
\(854\) | 35.5529 | − | 41.0302i | 1.21660 | − | 1.40403i | ||||
\(855\) | −11.0188 | − | 7.08136i | −0.376835 | − | 0.242177i | ||||
\(856\) | 0.0727658 | − | 0.506097i | 0.00248708 | − | 0.0172980i | ||||
\(857\) | −25.8396 | + | 16.6061i | −0.882665 | + | 0.567254i | −0.901602 | − | 0.432566i | \(-0.857608\pi\) |
0.0189372 | + | 0.999821i | \(0.493972\pi\) | |||||||
\(858\) | −3.48040 | − | 7.62101i | −0.118819 | − | 0.260177i | ||||
\(859\) | −7.22996 | − | 8.34382i | −0.246683 | − | 0.284687i | 0.618882 | − | 0.785484i | \(-0.287586\pi\) |
−0.865565 | + | 0.500797i | \(0.833040\pi\) | |||||||
\(860\) | 2.11210 | + | 14.6899i | 0.0720219 | + | 0.500923i | ||||
\(861\) | −3.84425 | + | 8.41773i | −0.131012 | + | 0.286875i | ||||
\(862\) | 21.5116 | − | 6.31637i | 0.732687 | − | 0.215136i | ||||
\(863\) | −15.3401 | + | 4.50427i | −0.522184 | + | 0.153327i | −0.532193 | − | 0.846623i | \(-0.678632\pi\) |
0.0100093 | + | 0.999950i | \(0.496814\pi\) | |||||||
\(864\) | −3.29736 | + | 7.22021i | −0.112178 | + | 0.245637i | ||||
\(865\) | 4.74999 | + | 33.0369i | 0.161504 | + | 1.12329i | ||||
\(866\) | 5.94832 | + | 6.86473i | 0.202132 | + | 0.233273i | ||||
\(867\) | 1.90161 | + | 4.16395i | 0.0645821 | + | 0.141415i | ||||
\(868\) | −46.3239 | + | 29.7706i | −1.57234 | + | 1.01048i | ||||
\(869\) | −2.07902 | + | 14.4599i | −0.0705261 | + | 0.490520i | ||||
\(870\) | 26.4282 | + | 16.9844i | 0.896000 | + | 0.575824i | ||||
\(871\) | 6.33943 | − | 7.31609i | 0.214803 | − | 0.247896i | ||||
\(872\) | 0.0901835 | + | 0.0264803i | 0.00305400 | + | 0.000896735i | ||||
\(873\) | 1.21486 | 0.0411169 | ||||||||
\(874\) | −32.6812 | + | 51.4069i | −1.10546 | + | 1.73886i | ||||
\(875\) | −38.4257 | −1.29903 | ||||||||
\(876\) | −22.0297 | − | 6.46852i | −0.744316 | − | 0.218551i | ||||
\(877\) | 21.6818 | − | 25.0221i | 0.732143 | − | 0.844938i | −0.260569 | − | 0.965455i | \(-0.583910\pi\) |
0.992711 | + | 0.120518i | \(0.0384554\pi\) | |||||||
\(878\) | −2.88670 | − | 1.85517i | −0.0974213 | − | 0.0626088i | ||||
\(879\) | −1.49059 | + | 10.3673i | −0.0502762 | + | 0.349679i | ||||
\(880\) | −11.5058 | + | 7.39430i | −0.387859 | + | 0.249262i | ||||
\(881\) | −13.8057 | − | 30.2303i | −0.465126 | − | 1.01848i | −0.986289 | − | 0.165027i | \(-0.947229\pi\) |
0.521163 | − | 0.853457i | \(-0.325498\pi\) | |||||||
\(882\) | −4.47860 | − | 5.16858i | −0.150802 | − | 0.174035i | ||||
\(883\) | 4.21852 | + | 29.3404i | 0.141964 | + | 0.987384i | 0.928895 | + | 0.370343i | \(0.120760\pi\) |
−0.786931 | + | 0.617041i | \(0.788331\pi\) | |||||||
\(884\) | −9.73647 | + | 21.3199i | −0.327473 | + | 0.717066i | ||||
\(885\) | −9.87500 | + | 2.89956i | −0.331945 | + | 0.0974677i | ||||
\(886\) | −20.9948 | + | 6.16464i | −0.705336 | + | 0.207105i | ||||
\(887\) | 4.09687 | − | 8.97089i | 0.137559 | − | 0.301213i | −0.828298 | − | 0.560288i | \(-0.810690\pi\) |
0.965857 | + | 0.259075i | \(0.0834177\pi\) | |||||||
\(888\) | 0.126277 | + | 0.878274i | 0.00423757 | + | 0.0294729i | ||||
\(889\) | 38.5525 | + | 44.4920i | 1.29301 | + | 1.49221i | ||||
\(890\) | −4.41321 | − | 9.66359i | −0.147931 | − | 0.323924i | ||||
\(891\) | 1.36733 | − | 0.878732i | 0.0458074 | − | 0.0294386i | ||||
\(892\) | 5.35207 | − | 37.2244i | 0.179200 | − | 1.24637i | ||||
\(893\) | 46.8125 | + | 30.0845i | 1.56652 | + | 1.00674i | ||||
\(894\) | 0.0431711 | − | 0.0498222i | 0.00144386 | − | 0.00166630i | ||||
\(895\) | 11.2789 | + | 3.31178i | 0.377011 | + | 0.110700i | ||||
\(896\) | 2.87695 | 0.0961123 | ||||||||
\(897\) | 9.36735 | − | 8.19782i | 0.312767 | − | 0.273717i | ||||
\(898\) | 27.0177 | 0.901593 | ||||||||
\(899\) | 64.9646 | + | 19.0753i | 2.16669 | + | 0.636198i | ||||
\(900\) | 1.02621 | − | 1.18431i | 0.0342070 | − | 0.0394770i | ||||
\(901\) | −5.87517 | − | 3.77574i | −0.195730 | − | 0.125788i | ||||
\(902\) | 1.31542 | − | 9.14895i | 0.0437987 | − | 0.304627i | ||||
\(903\) | −10.1351 | + | 6.51341i | −0.337274 | + | 0.216753i | ||||
\(904\) | −0.514760 | − | 1.12717i | −0.0171207 | − | 0.0374890i | ||||
\(905\) | −15.6119 | − | 18.0171i | −0.518956 | − | 0.598907i | ||||
\(906\) | −4.25704 | − | 29.6083i | −0.141431 | − | 0.983671i | ||||
\(907\) | 16.2239 | − | 35.5254i | 0.538705 | − | 1.17960i | −0.423154 | − | 0.906058i | \(-0.639077\pi\) |
0.961860 | − | 0.273543i | \(-0.0881955\pi\) | |||||||
\(908\) | 18.1212 | − | 5.32087i | 0.601374 | − | 0.176579i | ||||
\(909\) | −7.30511 | + | 2.14497i | −0.242295 | + | 0.0711443i | ||||
\(910\) | −14.1715 | + | 31.0313i | −0.469782 | + | 1.02868i | ||||
\(911\) | −1.22251 | − | 8.50273i | −0.0405035 | − | 0.281708i | 0.959496 | − | 0.281721i | \(-0.0909051\pi\) |
−1.00000 | 1.24817e-5i | \(0.999996\pi\) | ||||||||
\(912\) | −17.2100 | − | 19.8615i | −0.569882 | − | 0.657678i | ||||
\(913\) | −10.3548 | − | 22.6739i | −0.342694 | − | 0.750395i | ||||
\(914\) | 43.0857 | − | 27.6895i | 1.42515 | − | 0.915888i | ||||
\(915\) | 2.46542 | − | 17.1474i | 0.0815043 | − | 0.566875i | ||||
\(916\) | 8.69337 | + | 5.58689i | 0.287237 | + | 0.184596i | ||||
\(917\) | −3.07380 | + | 3.54736i | −0.101506 | + | 0.117144i | ||||
\(918\) | −8.85134 | − | 2.59899i | −0.292138 | − | 0.0857794i | ||||
\(919\) | 6.75276 | 0.222753 | 0.111377 | − | 0.993778i | \(-0.464474\pi\) | ||||
0.111377 | + | 0.993778i | \(0.464474\pi\) | |||||||
\(920\) | −0.829805 | − | 0.711919i | −0.0273579 | − | 0.0234713i | ||||
\(921\) | −20.1047 | −0.662471 | ||||||||
\(922\) | −73.7124 | − | 21.6439i | −2.42759 | − | 0.712804i | ||||
\(923\) | −2.09623 | + | 2.41918i | −0.0689984 | + | 0.0796284i | ||||
\(924\) | 8.58986 | + | 5.52037i | 0.282586 | + | 0.181607i | ||||
\(925\) | 0.914411 | − | 6.35987i | 0.0300656 | − | 0.209111i | ||||
\(926\) | 18.0169 | − | 11.5787i | 0.592071 | − | 0.380501i | ||||
\(927\) | 4.50444 | + | 9.86335i | 0.147945 | + | 0.323955i | ||||
\(928\) | 40.1514 | + | 46.3372i | 1.31803 | + | 1.52109i | ||||
\(929\) | 6.07703 | + | 42.2667i | 0.199381 | + | 1.38673i | 0.806086 | + | 0.591798i | \(0.201582\pi\) |
−0.606705 | + | 0.794927i | \(0.707509\pi\) | |||||||
\(930\) | −14.8089 | + | 32.4269i | −0.485602 | + | 1.06332i | ||||
\(931\) | 21.1334 | − | 6.20534i | 0.692620 | − | 0.203372i | ||||
\(932\) | 31.4240 | − | 9.22691i | 1.02933 | − | 0.302238i | ||||
\(933\) | −7.09610 | + | 15.5383i | −0.232316 | + | 0.508701i | ||||
\(934\) | −4.22727 | − | 29.4013i | −0.138320 | − | 0.962040i | ||||
\(935\) | −10.1253 | − | 11.6852i | −0.331131 | − | 0.382146i | ||||
\(936\) | 0.120033 | + | 0.262837i | 0.00392342 | + | 0.00859108i | ||||
\(937\) | 6.25612 | − | 4.02056i | 0.204378 | − | 0.131346i | −0.434448 | − | 0.900697i | \(-0.643057\pi\) |
0.638826 | + | 0.769351i | \(0.279420\pi\) | |||||||
\(938\) | −3.40652 | + | 23.6928i | −0.111227 | + | 0.773599i | ||||
\(939\) | 8.95065 | + | 5.75223i | 0.292093 | + | 0.187717i | ||||
\(940\) | 22.6817 | − | 26.1760i | 0.739794 | − | 0.853768i | ||||
\(941\) | −44.5812 | − | 13.0902i | −1.45330 | − | 0.426729i | −0.542672 | − | 0.839945i | \(-0.682587\pi\) |
−0.910633 | + | 0.413216i | \(0.864405\pi\) | |||||||
\(942\) | −30.9938 | −1.00983 | ||||||||
\(943\) | 13.5834 | − | 2.02121i | 0.442338 | − | 0.0658196i | ||||
\(944\) | −20.6500 | −0.672101 | ||||||||
\(945\) | −6.35005 | − | 1.86454i | −0.206567 | − | 0.0606536i | ||||
\(946\) | 7.88014 | − | 9.09417i | 0.256206 | − | 0.295677i | ||||
\(947\) | −9.34041 | − | 6.00272i | −0.303522 | − | 0.195062i | 0.380010 | − | 0.924983i | \(-0.375921\pi\) |
−0.683532 | + | 0.729921i | \(0.739557\pi\) | |||||||
\(948\) | −2.48654 | + | 17.2943i | −0.0807591 | + | 0.561692i | ||||
\(949\) | −25.7896 | + | 16.5740i | −0.837166 | + | 0.538014i | ||||
\(950\) | 4.25355 | + | 9.31398i | 0.138003 | + | 0.302185i | ||||
\(951\) | −10.3301 | − | 11.9216i | −0.334977 | − | 0.386585i | ||||
\(952\) | 0.237829 | + | 1.65414i | 0.00770810 | + | 0.0536110i | ||||
\(953\) | 9.39201 | − | 20.5656i | 0.304237 | − | 0.666187i | −0.694332 | − | 0.719654i | \(-0.744300\pi\) |
0.998570 | + | 0.0534679i | \(0.0170275\pi\) | |||||||
\(954\) | 2.86483 | − | 0.841190i | 0.0927522 | − | 0.0272345i | ||||
\(955\) | −6.34535 | + | 1.86316i | −0.205331 | + | 0.0602905i | ||||
\(956\) | 11.5082 | − | 25.1995i | 0.372203 | − | 0.815011i | ||||
\(957\) | −1.78676 | − | 12.4272i | −0.0577577 | − | 0.401713i | ||||
\(958\) | 55.4394 | + | 63.9805i | 1.79117 | + | 2.06712i | ||||
\(959\) | −6.00810 | − | 13.1559i | −0.194012 | − | 0.424827i | ||||
\(960\) | −12.9993 | + | 8.35413i | −0.419550 | + | 0.269628i | ||||
\(961\) | −6.52238 | + | 45.3641i | −0.210399 | + | 1.46336i | ||||
\(962\) | −34.5632 | − | 22.2124i | −1.11436 | − | 0.716156i | ||||
\(963\) | −3.00774 | + | 3.47111i | −0.0969230 | + | 0.111855i | ||||
\(964\) | −50.1719 | − | 14.7318i | −1.61593 | − | 0.474479i | ||||
\(965\) | 8.94762 | 0.288034 | ||||||||
\(966\) | −8.52621 | + | 29.5747i | −0.274326 | + | 0.951549i | ||||
\(967\) | 0.0544688 | 0.00175160 | 0.000875800 | − | 1.00000i | \(-0.499721\pi\) | ||||
0.000875800 | 1.00000i | \(0.499721\pi\) | ||||||||
\(968\) | −0.892775 | − | 0.262142i | −0.0286949 | − | 0.00842558i | ||||
\(969\) | 19.4559 | − | 22.4533i | 0.625013 | − | 0.721303i | ||||
\(970\) | 4.15649 | + | 2.67122i | 0.133457 | + | 0.0857676i | ||||
\(971\) | 6.92603 | − | 48.1716i | 0.222267 | − | 1.54590i | −0.507166 | − | 0.861848i | \(-0.669307\pi\) |
0.729433 | − | 0.684052i | \(-0.239784\pi\) | |||||||
\(972\) | 1.63535 | − | 1.05098i | 0.0524539 | − | 0.0337101i | ||||
\(973\) | 7.80785 | + | 17.0968i | 0.250308 | + | 0.548098i | ||||
\(974\) | 42.9164 | + | 49.5282i | 1.37513 | + | 1.58699i | ||||
\(975\) | −0.297775 | − | 2.07107i | −0.00953643 | − | 0.0663273i | ||||
\(976\) | 14.4394 | − | 31.6178i | 0.462193 | − | 1.01206i | ||||
\(977\) | −52.8998 | + | 15.5328i | −1.69241 | + | 0.496938i | −0.979009 | − | 0.203815i | \(-0.934666\pi\) |
−0.713404 | + | 0.700753i | \(0.752848\pi\) | |||||||
\(978\) | −26.3438 | + | 7.73523i | −0.842381 | + | 0.247345i | ||||
\(979\) | −1.76372 | + | 3.86201i | −0.0563687 | + | 0.123430i | ||||
\(980\) | −1.95106 | − | 13.5699i | −0.0623242 | − | 0.433474i | ||||
\(981\) | −0.552902 | − | 0.638083i | −0.0176528 | − | 0.0203724i | ||||
\(982\) | 25.1410 | + | 55.0510i | 0.802280 | + | 1.75675i | ||||
\(983\) | −40.3538 | + | 25.9338i | −1.28709 | + | 0.827160i | −0.991744 | − | 0.128232i | \(-0.959070\pi\) |
−0.295341 | + | 0.955392i | \(0.595433\pi\) | |||||||
\(984\) | −0.0453667 | + | 0.315533i | −0.00144624 | + | 0.0100588i | ||||
\(985\) | −36.9985 | − | 23.7775i | −1.17887 | − | 0.757614i | ||||
\(986\) | −46.6642 | + | 53.8533i | −1.48609 | + | 1.71504i | ||||
\(987\) | 26.9776 | + | 7.92135i | 0.858708 | + | 0.252139i | ||||
\(988\) | 32.2714 | 1.02669 | ||||||||
\(989\) | 16.2993 | + | 7.34704i | 0.518289 | + | 0.233622i | ||||
\(990\) | 6.61029 | 0.210089 | ||||||||
\(991\) | 25.2051 | + | 7.40089i | 0.800667 | + | 0.235097i | 0.656372 | − | 0.754438i | \(-0.272090\pi\) |
0.144295 | + | 0.989535i | \(0.453908\pi\) | |||||||
\(992\) | −45.5617 | + | 52.5810i | −1.44659 | + | 1.66945i | ||||
\(993\) | −10.3717 | − | 6.66549i | −0.329136 | − | 0.211523i | ||||
\(994\) | 1.12642 | − | 7.83442i | 0.0357279 | − | 0.248493i | ||||
\(995\) | 10.9304 | − | 7.02452i | 0.346516 | − | 0.222692i | ||||
\(996\) | −12.3845 | − | 27.1182i | −0.392417 | − | 0.859274i | ||||
\(997\) | −15.6901 | − | 18.1074i | −0.496912 | − | 0.573467i | 0.450787 | − | 0.892631i | \(-0.351143\pi\) |
−0.947699 | + | 0.319164i | \(0.896598\pi\) | |||||||
\(998\) | 7.55728 | + | 52.5621i | 0.239222 | + | 1.66382i | ||||
\(999\) | 3.31108 | − | 7.25025i | 0.104758 | − | 0.229388i |
(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 | 69.2.e.c.64.1 | yes | 20 | |
3.2 | odd | 2 | 207.2.i.d.64.2 | 20 | |||
23.3 | even | 11 | 1587.2.a.u.1.9 | 10 | |||
23.9 | even | 11 | inner | 69.2.e.c.55.1 | ✓ | 20 | |
23.20 | odd | 22 | 1587.2.a.t.1.9 | 10 | |||
69.20 | even | 22 | 4761.2.a.bu.1.2 | 10 | |||
69.26 | odd | 22 | 4761.2.a.bt.1.2 | 10 | |||
69.32 | odd | 22 | 207.2.i.d.55.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.e.c.55.1 | ✓ | 20 | 23.9 | even | 11 | inner | |
69.2.e.c.64.1 | yes | 20 | 1.1 | even | 1 | trivial | |
207.2.i.d.55.2 | 20 | 69.32 | odd | 22 | |||
207.2.i.d.64.2 | 20 | 3.2 | odd | 2 | |||
1587.2.a.t.1.9 | 10 | 23.20 | odd | 22 | |||
1587.2.a.u.1.9 | 10 | 23.3 | even | 11 | |||
4761.2.a.bt.1.2 | 10 | 69.26 | odd | 22 | |||
4761.2.a.bu.1.2 | 10 | 69.20 | even | 22 |