Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,2,Mod(15,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.j (of order \(10\), degree \(4\), 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: | \(0.990144985064\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 27.2 | ||
Root | \(0.587785 + 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 124.27 |
Dual form | 124.2.j.a.23.2 |
$q$-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 \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26007 | + | 0.642040i | 0.891007 | + | 0.453990i | ||||
\(3\) | −0.224514 | + | 0.690983i | −0.129623 | + | 0.398939i | −0.994715 | − | 0.102674i | \(-0.967260\pi\) |
0.865092 | + | 0.501614i | \(0.167260\pi\) | |||||||
\(4\) | 1.17557 | + | 1.61803i | 0.587785 | + | 0.809017i | ||||
\(5\) | 0.618034 | 0.276393 | 0.138197 | − | 0.990405i | \(-0.455869\pi\) | ||||
0.138197 | + | 0.990405i | \(0.455869\pi\) | |||||||
\(6\) | −0.726543 | + | 0.726543i | −0.296610 | + | 0.296610i | ||||
\(7\) | −2.48990 | − | 3.42705i | −0.941093 | − | 1.29530i | −0.955372 | − | 0.295405i | \(-0.904545\pi\) |
0.0142789 | − | 0.999898i | \(-0.495455\pi\) | |||||||
\(8\) | 0.442463 | + | 2.79360i | 0.156434 | + | 0.987688i | ||||
\(9\) | 2.00000 | + | 1.45309i | 0.666667 | + | 0.484362i | ||||
\(10\) | 0.778768 | + | 0.396802i | 0.246268 | + | 0.125480i | ||||
\(11\) | −1.17557 | + | 0.854102i | −0.354448 | + | 0.257521i | −0.750733 | − | 0.660606i | \(-0.770299\pi\) |
0.396285 | + | 0.918128i | \(0.370299\pi\) | |||||||
\(12\) | −1.38197 | + | 0.449028i | −0.398939 | + | 0.129623i | ||||
\(13\) | −4.73607 | − | 1.53884i | −1.31355 | − | 0.426798i | −0.433274 | − | 0.901262i | \(-0.642642\pi\) |
−0.880275 | + | 0.474464i | \(0.842642\pi\) | |||||||
\(14\) | −0.937153 | − | 5.91695i | −0.250465 | − | 1.58137i | ||||
\(15\) | −0.138757 | + | 0.427051i | −0.0358270 | + | 0.110264i | ||||
\(16\) | −1.23607 | + | 3.80423i | −0.309017 | + | 0.951057i | ||||
\(17\) | 4.04508 | − | 5.56758i | 0.981077 | − | 1.35034i | 0.0448301 | − | 0.998995i | \(-0.485725\pi\) |
0.936247 | − | 0.351342i | \(-0.114275\pi\) | |||||||
\(18\) | 1.58721 | + | 3.11507i | 0.374109 | + | 0.734230i | ||||
\(19\) | 4.75528 | − | 1.54508i | 1.09094 | − | 0.354467i | 0.292328 | − | 0.956318i | \(-0.405570\pi\) |
0.798608 | + | 0.601851i | \(0.205570\pi\) | |||||||
\(20\) | 0.726543 | + | 1.00000i | 0.162460 | + | 0.223607i | ||||
\(21\) | 2.92705 | − | 0.951057i | 0.638735 | − | 0.207538i | ||||
\(22\) | −2.02967 | + | 0.321469i | −0.432728 | + | 0.0685373i | ||||
\(23\) | −2.48990 | − | 1.80902i | −0.519180 | − | 0.377206i | 0.297115 | − | 0.954842i | \(-0.403975\pi\) |
−0.816295 | + | 0.577636i | \(0.803975\pi\) | |||||||
\(24\) | −2.02967 | − | 0.321469i | −0.414305 | − | 0.0656195i | ||||
\(25\) | −4.61803 | −0.923607 | ||||||||
\(26\) | −4.97980 | − | 4.97980i | −0.976618 | − | 0.976618i | ||||
\(27\) | −3.21644 | + | 2.33688i | −0.619004 | + | 0.449733i | ||||
\(28\) | 2.61803 | − | 8.05748i | 0.494762 | − | 1.52272i | ||||
\(29\) | −3.19098 | + | 1.03681i | −0.592551 | + | 0.192531i | −0.589915 | − | 0.807465i | \(-0.700839\pi\) |
−0.00263539 | + | 0.999997i | \(0.500839\pi\) | |||||||
\(30\) | −0.449028 | + | 0.449028i | −0.0819809 | + | 0.0819809i | ||||
\(31\) | 2.85317 | + | 4.78115i | 0.512444 | + | 0.858720i | ||||
\(32\) | −4.00000 | + | 4.00000i | −0.707107 | + | 0.707107i | ||||
\(33\) | −0.326238 | − | 1.00406i | −0.0567907 | − | 0.174784i | ||||
\(34\) | 8.67171 | − | 4.41846i | 1.48719 | − | 0.757759i | ||||
\(35\) | −1.53884 | − | 2.11803i | −0.260112 | − | 0.358013i | ||||
\(36\) | 4.94427i | 0.824045i | ||||||||
\(37\) | 2.17963i | 0.358329i | 0.983819 | + | 0.179164i | \(0.0573394\pi\) | ||||
−0.983819 | + | 0.179164i | \(0.942661\pi\) | |||||||
\(38\) | 6.98401 | + | 1.10616i | 1.13296 | + | 0.179443i | ||||
\(39\) | 2.12663 | − | 2.92705i | 0.340533 | − | 0.468703i | ||||
\(40\) | 0.273457 | + | 1.72654i | 0.0432374 | + | 0.272990i | ||||
\(41\) | −0.236068 | − | 0.726543i | −0.0368676 | − | 0.113467i | 0.930929 | − | 0.365200i | \(-0.118999\pi\) |
−0.967797 | + | 0.251733i | \(0.918999\pi\) | |||||||
\(42\) | 4.29892 | + | 0.680881i | 0.663337 | + | 0.105062i | ||||
\(43\) | 1.31433 | + | 4.04508i | 0.200433 | + | 0.616870i | 0.999870 | + | 0.0161197i | \(0.00513128\pi\) |
−0.799437 | + | 0.600750i | \(0.794869\pi\) | |||||||
\(44\) | −2.76393 | − | 0.898056i | −0.416678 | − | 0.135387i | ||||
\(45\) | 1.23607 | + | 0.898056i | 0.184262 | + | 0.133874i | ||||
\(46\) | −1.97599 | − | 3.87811i | −0.291344 | − | 0.571796i | ||||
\(47\) | 3.21644 | + | 1.04508i | 0.469166 | + | 0.152441i | 0.534052 | − | 0.845451i | \(-0.320668\pi\) |
−0.0648863 | + | 0.997893i | \(0.520668\pi\) | |||||||
\(48\) | −2.35114 | − | 1.70820i | −0.339358 | − | 0.246558i | ||||
\(49\) | −3.38197 | + | 10.4086i | −0.483138 | + | 1.48695i | ||||
\(50\) | −5.81906 | − | 2.96496i | −0.822940 | − | 0.419309i | ||||
\(51\) | 2.93893 | + | 4.04508i | 0.411532 | + | 0.566425i | ||||
\(52\) | −3.07768 | − | 9.47214i | −0.426798 | − | 1.31355i | ||||
\(53\) | 1.28115 | − | 1.76336i | 0.175980 | − | 0.242216i | −0.711911 | − | 0.702270i | \(-0.752170\pi\) |
0.887891 | + | 0.460054i | \(0.152170\pi\) | |||||||
\(54\) | −5.55332 | + | 0.879560i | −0.755711 | + | 0.119693i | ||||
\(55\) | −0.726543 | + | 0.527864i | −0.0979670 | + | 0.0711772i | ||||
\(56\) | 8.47214 | − | 8.47214i | 1.13214 | − | 1.13214i | ||||
\(57\) | 3.63271i | 0.481165i | ||||||||
\(58\) | −4.68655 | − | 0.742276i | −0.615374 | − | 0.0974657i | ||||
\(59\) | 3.30220 | + | 1.07295i | 0.429909 | + | 0.139686i | 0.515975 | − | 0.856603i | \(-0.327430\pi\) |
−0.0860659 | + | 0.996289i | \(0.527430\pi\) | |||||||
\(60\) | −0.854102 | + | 0.277515i | −0.110264 | + | 0.0358270i | ||||
\(61\) | 9.95959i | 1.27520i | 0.770370 | + | 0.637598i | \(0.220072\pi\) | ||||
−0.770370 | + | 0.637598i | \(0.779928\pi\) | |||||||
\(62\) | 0.525514 | + | 7.85645i | 0.0667404 | + | 0.997770i | ||||
\(63\) | − | 10.4721i | − | 1.31937i | ||||||
\(64\) | −7.60845 | + | 2.47214i | −0.951057 | + | 0.309017i | ||||
\(65\) | −2.92705 | − | 0.951057i | −0.363056 | − | 0.117964i | ||||
\(66\) | 0.233561 | − | 1.47464i | 0.0287493 | − | 0.181516i | ||||
\(67\) | 10.2361i | 1.25053i | 0.780411 | + | 0.625267i | \(0.215010\pi\) | ||||
−0.780411 | + | 0.625267i | \(0.784990\pi\) | |||||||
\(68\) | 13.7638 | 1.66911 | ||||||||
\(69\) | 1.80902 | − | 1.31433i | 0.217780 | − | 0.158226i | ||||
\(70\) | −0.579192 | − | 3.65688i | −0.0692267 | − | 0.437080i | ||||
\(71\) | 2.57565 | − | 3.54508i | 0.305674 | − | 0.420724i | −0.628352 | − | 0.777929i | \(-0.716270\pi\) |
0.934026 | + | 0.357205i | \(0.116270\pi\) | |||||||
\(72\) | −3.17442 | + | 6.23015i | −0.374109 | + | 0.734230i | ||||
\(73\) | −0.690983 | − | 0.951057i | −0.0808734 | − | 0.111313i | 0.766664 | − | 0.642049i | \(-0.221915\pi\) |
−0.847537 | + | 0.530736i | \(0.821915\pi\) | |||||||
\(74\) | −1.39941 | + | 2.74649i | −0.162678 | + | 0.319273i | ||||
\(75\) | 1.03681 | − | 3.19098i | 0.119721 | − | 0.368463i | ||||
\(76\) | 8.09017 | + | 5.87785i | 0.928006 | + | 0.674236i | ||||
\(77\) | 5.85410 | + | 1.90211i | 0.667137 | + | 0.216766i | ||||
\(78\) | 4.55899 | − | 2.32292i | 0.516204 | − | 0.263019i | ||||
\(79\) | −11.8617 | − | 8.61803i | −1.33455 | − | 0.969605i | −0.999626 | − | 0.0273582i | \(-0.991291\pi\) |
−0.334921 | − | 0.942246i | \(-0.608709\pi\) | |||||||
\(80\) | −0.763932 | + | 2.35114i | −0.0854102 | + | 0.262866i | ||||
\(81\) | 1.39919 | + | 4.30625i | 0.155465 | + | 0.478473i | ||||
\(82\) | 0.169006 | − | 1.06706i | 0.0186636 | − | 0.117837i | ||||
\(83\) | 1.98787 | + | 6.11803i | 0.218197 | + | 0.671541i | 0.998911 | + | 0.0466531i | \(0.0148555\pi\) |
−0.780714 | + | 0.624888i | \(0.785144\pi\) | |||||||
\(84\) | 4.97980 | + | 3.61803i | 0.543340 | + | 0.394760i | ||||
\(85\) | 2.50000 | − | 3.44095i | 0.271163 | − | 0.373224i | ||||
\(86\) | −0.940955 | + | 5.94095i | −0.101466 | + | 0.640630i | ||||
\(87\) | − | 2.43769i | − | 0.261348i | ||||||
\(88\) | −2.90617 | − | 2.90617i | −0.309799 | − | 0.309799i | ||||
\(89\) | −10.1631 | − | 13.9883i | −1.07729 | − | 1.48276i | −0.862471 | − | 0.506106i | \(-0.831084\pi\) |
−0.214817 | − | 0.976654i | \(-0.568916\pi\) | |||||||
\(90\) | 0.980949 | + | 1.92522i | 0.103401 | + | 0.202936i | ||||
\(91\) | 6.51864 | + | 20.0623i | 0.683339 | + | 2.10310i | ||||
\(92\) | − | 6.15537i | − | 0.641741i | ||||||
\(93\) | −3.94427 | + | 0.898056i | −0.409002 | + | 0.0931241i | ||||
\(94\) | 3.38197 | + | 3.38197i | 0.348823 | + | 0.348823i | ||||
\(95\) | 2.93893 | − | 0.954915i | 0.301527 | − | 0.0979722i | ||||
\(96\) | −1.86588 | − | 3.66199i | −0.190435 | − | 0.373750i | ||||
\(97\) | 6.04508 | − | 4.39201i | 0.613785 | − | 0.445941i | −0.236960 | − | 0.971519i | \(-0.576151\pi\) |
0.850745 | + | 0.525578i | \(0.176151\pi\) | |||||||
\(98\) | −10.9443 | + | 10.9443i | −1.10554 | + | 1.10554i | ||||
\(99\) | −3.59222 | −0.361032 | ||||||||
\(100\) | −5.42882 | − | 7.47214i | −0.542882 | − | 0.747214i | ||||
\(101\) | 7.23607 | + | 5.25731i | 0.720016 | + | 0.523122i | 0.886389 | − | 0.462941i | \(-0.153206\pi\) |
−0.166374 | + | 0.986063i | \(0.553206\pi\) | |||||||
\(102\) | 1.10616 | + | 6.98401i | 0.109526 | + | 0.691520i | ||||
\(103\) | 0.865300 | − | 0.281153i | 0.0852605 | − | 0.0277028i | −0.266076 | − | 0.963952i | \(-0.585727\pi\) |
0.351337 | + | 0.936249i | \(0.385727\pi\) | |||||||
\(104\) | 2.20338 | − | 13.9116i | 0.216059 | − | 1.36414i | ||||
\(105\) | 1.80902 | − | 0.587785i | 0.176542 | − | 0.0573620i | ||||
\(106\) | 2.74649 | − | 1.39941i | 0.266763 | − | 0.135922i | ||||
\(107\) | 8.14324 | − | 11.2082i | 0.787236 | − | 1.08354i | −0.207210 | − | 0.978296i | \(-0.566438\pi\) |
0.994447 | − | 0.105242i | \(-0.0335616\pi\) | |||||||
\(108\) | −7.56231 | − | 2.45714i | −0.727683 | − | 0.236439i | ||||
\(109\) | 2.21885 | − | 6.82891i | 0.212527 | − | 0.654091i | −0.786793 | − | 0.617217i | \(-0.788260\pi\) |
0.999320 | − | 0.0368738i | \(-0.0117400\pi\) | |||||||
\(110\) | −1.25441 | + | 0.198678i | −0.119603 | + | 0.0189433i | ||||
\(111\) | −1.50609 | − | 0.489357i | −0.142951 | − | 0.0464477i | ||||
\(112\) | 16.1150 | − | 5.23607i | 1.52272 | − | 0.494762i | ||||
\(113\) | 9.35410 | − | 6.79615i | 0.879960 | − | 0.639328i | −0.0532810 | − | 0.998580i | \(-0.516968\pi\) |
0.933241 | + | 0.359251i | \(0.116968\pi\) | |||||||
\(114\) | −2.33235 | + | 4.57748i | −0.218444 | + | 0.428721i | ||||
\(115\) | −1.53884 | − | 1.11803i | −0.143498 | − | 0.104257i | ||||
\(116\) | −5.42882 | − | 3.94427i | −0.504054 | − | 0.366216i | ||||
\(117\) | −7.23607 | − | 9.95959i | −0.668975 | − | 0.920765i | ||||
\(118\) | 3.47214 | + | 3.47214i | 0.319636 | + | 0.319636i | ||||
\(119\) | −29.1522 | −2.67238 | ||||||||
\(120\) | −1.25441 | − | 0.198678i | −0.114511 | − | 0.0181368i | ||||
\(121\) | −2.74671 | + | 8.45351i | −0.249701 | + | 0.768501i | ||||
\(122\) | −6.39445 | + | 12.5498i | −0.578927 | + | 1.13621i | ||||
\(123\) | 0.555029 | 0.0500453 | ||||||||
\(124\) | −4.38197 | + | 10.2371i | −0.393512 | + | 0.919319i | ||||
\(125\) | −5.94427 | −0.531672 | ||||||||
\(126\) | 6.72353 | − | 13.1957i | 0.598979 | − | 1.17556i | ||||
\(127\) | 1.22857 | − | 3.78115i | 0.109018 | − | 0.335523i | −0.881634 | − | 0.471933i | \(-0.843556\pi\) |
0.990652 | + | 0.136410i | \(0.0435564\pi\) | |||||||
\(128\) | −11.1744 | − | 1.76985i | −0.987688 | − | 0.156434i | ||||
\(129\) | −3.09017 | −0.272074 | ||||||||
\(130\) | −3.07768 | − | 3.07768i | −0.269931 | − | 0.269931i | ||||
\(131\) | −11.0822 | − | 15.2533i | −0.968253 | − | 1.33269i | −0.942924 | − | 0.333007i | \(-0.891937\pi\) |
−0.0253287 | − | 0.999679i | \(-0.508063\pi\) | |||||||
\(132\) | 1.24108 | − | 1.70820i | 0.108022 | − | 0.148680i | ||||
\(133\) | −17.1353 | − | 12.4495i | −1.48582 | − | 1.07951i | ||||
\(134\) | −6.57196 | + | 12.8982i | −0.567731 | + | 1.11423i | ||||
\(135\) | −1.98787 | + | 1.44427i | −0.171089 | + | 0.124303i | ||||
\(136\) | 17.3434 | + | 8.83692i | 1.48719 | + | 0.757759i | ||||
\(137\) | 0.854102 | + | 0.277515i | 0.0729709 | + | 0.0237097i | 0.345275 | − | 0.938502i | \(-0.387786\pi\) |
−0.272304 | + | 0.962211i | \(0.587786\pi\) | |||||||
\(138\) | 3.12334 | − | 0.494689i | 0.265877 | − | 0.0421107i | ||||
\(139\) | −0.138757 | + | 0.427051i | −0.0117692 | + | 0.0362220i | −0.956769 | − | 0.290850i | \(-0.906062\pi\) |
0.944999 | + | 0.327072i | \(0.106062\pi\) | |||||||
\(140\) | 1.61803 | − | 4.97980i | 0.136749 | − | 0.420870i | ||||
\(141\) | −1.44427 | + | 1.98787i | −0.121630 | + | 0.167409i | ||||
\(142\) | 5.52160 | − | 2.81340i | 0.463362 | − | 0.236095i | ||||
\(143\) | 6.88191 | − | 2.23607i | 0.575494 | − | 0.186989i | ||||
\(144\) | −8.00000 | + | 5.81234i | −0.666667 | + | 0.484362i | ||||
\(145\) | −1.97214 | + | 0.640786i | −0.163777 | + | 0.0532144i | ||||
\(146\) | −0.260074 | − | 1.64204i | −0.0215238 | − | 0.135896i | ||||
\(147\) | −6.43288 | − | 4.67376i | −0.530575 | − | 0.385485i | ||||
\(148\) | −3.52671 | + | 2.56231i | −0.289894 | + | 0.210620i | ||||
\(149\) | 10.8541 | 0.889203 | 0.444601 | − | 0.895729i | \(-0.353345\pi\) | ||||
0.444601 | + | 0.895729i | \(0.353345\pi\) | |||||||
\(150\) | 3.35520 | − | 3.35520i | 0.273951 | − | 0.273951i | ||||
\(151\) | 12.8128 | − | 9.30902i | 1.04269 | − | 0.757557i | 0.0718794 | − | 0.997413i | \(-0.477100\pi\) |
0.970808 | + | 0.239856i | \(0.0771003\pi\) | |||||||
\(152\) | 6.42040 | + | 12.6007i | 0.520763 | + | 1.02205i | ||||
\(153\) | 16.1803 | − | 5.25731i | 1.30810 | − | 0.425028i | ||||
\(154\) | 6.15537 | + | 6.15537i | 0.496014 | + | 0.496014i | ||||
\(155\) | 1.76336 | + | 2.95492i | 0.141636 | + | 0.237344i | ||||
\(156\) | 7.23607 | 0.579349 | ||||||||
\(157\) | −0.291796 | − | 0.898056i | −0.0232879 | − | 0.0716727i | 0.938737 | − | 0.344634i | \(-0.111997\pi\) |
−0.962025 | + | 0.272961i | \(0.911997\pi\) | |||||||
\(158\) | −9.41350 | − | 18.4750i | −0.748898 | − | 1.46980i | ||||
\(159\) | 0.930812 | + | 1.28115i | 0.0738182 | + | 0.101602i | ||||
\(160\) | −2.47214 | + | 2.47214i | −0.195440 | + | 0.195440i | ||||
\(161\) | 13.0373i | 1.02748i | ||||||||
\(162\) | −1.00171 | + | 6.32453i | −0.0787016 | + | 0.496902i | ||||
\(163\) | −11.7229 | + | 16.1353i | −0.918212 | + | 1.26381i | 0.0460712 | + | 0.998938i | \(0.485330\pi\) |
−0.964283 | + | 0.264873i | \(0.914670\pi\) | |||||||
\(164\) | 0.898056 | − | 1.23607i | 0.0701264 | − | 0.0965207i | ||||
\(165\) | −0.201626 | − | 0.620541i | −0.0156966 | − | 0.0483091i | ||||
\(166\) | −1.42316 | + | 8.98546i | −0.110458 | + | 0.697407i | ||||
\(167\) | −2.52265 | − | 7.76393i | −0.195209 | − | 0.600791i | −0.999974 | − | 0.00719787i | \(-0.997709\pi\) |
0.804765 | − | 0.593593i | \(-0.202291\pi\) | |||||||
\(168\) | 3.95199 | + | 7.75621i | 0.304903 | + | 0.598405i | ||||
\(169\) | 9.54508 | + | 6.93491i | 0.734237 | + | 0.533455i | ||||
\(170\) | 5.35941 | − | 2.73076i | 0.411048 | − | 0.209440i | ||||
\(171\) | 11.7557 | + | 3.81966i | 0.898981 | + | 0.292097i | ||||
\(172\) | −5.00000 | + | 6.88191i | −0.381246 | + | 0.524741i | ||||
\(173\) | 4.95492 | − | 15.2497i | 0.376715 | − | 1.15941i | −0.565599 | − | 0.824680i | \(-0.691355\pi\) |
0.942314 | − | 0.334730i | \(-0.108645\pi\) | |||||||
\(174\) | 1.56510 | − | 3.07167i | 0.118650 | − | 0.232863i | ||||
\(175\) | 11.4984 | + | 15.8262i | 0.869200 | + | 1.19635i | ||||
\(176\) | −1.79611 | − | 5.52786i | −0.135387 | − | 0.416678i | ||||
\(177\) | −1.48278 | + | 2.04087i | −0.111453 | + | 0.153401i | ||||
\(178\) | −3.82521 | − | 24.1515i | −0.286712 | − | 1.81023i | ||||
\(179\) | −2.12663 | + | 1.54508i | −0.158952 | + | 0.115485i | −0.664418 | − | 0.747361i | \(-0.731320\pi\) |
0.505466 | + | 0.862846i | \(0.331320\pi\) | |||||||
\(180\) | 3.05573i | 0.227761i | ||||||||
\(181\) | 3.07768i | 0.228762i | 0.993437 | + | 0.114381i | \(0.0364885\pi\) | ||||
−0.993437 | + | 0.114381i | \(0.963511\pi\) | |||||||
\(182\) | −4.66683 | + | 29.4652i | −0.345928 | + | 2.18411i | ||||
\(183\) | −6.88191 | − | 2.23607i | −0.508725 | − | 0.165295i | ||||
\(184\) | 3.95199 | − | 7.75621i | 0.291344 | − | 0.571796i | ||||
\(185\) | 1.34708i | 0.0990396i | ||||||||
\(186\) | −5.54666 | − | 1.40076i | −0.406701 | − | 0.102709i | ||||
\(187\) | 10.0000i | 0.731272i | ||||||||
\(188\) | 2.09017 | + | 6.43288i | 0.152441 | + | 0.469166i | ||||
\(189\) | 16.0172 | + | 5.20431i | 1.16508 | + | 0.378558i | ||||
\(190\) | 4.31636 | + | 0.683644i | 0.313141 | + | 0.0495967i | ||||
\(191\) | 15.3262i | 1.10897i | 0.832194 | + | 0.554484i | \(0.187084\pi\) | ||||
−0.832194 | + | 0.554484i | \(0.812916\pi\) | |||||||
\(192\) | − | 5.81234i | − | 0.419470i | ||||||
\(193\) | −12.0172 | + | 8.73102i | −0.865018 | + | 0.628473i | −0.929246 | − | 0.369463i | \(-0.879542\pi\) |
0.0642271 | + | 0.997935i | \(0.479542\pi\) | |||||||
\(194\) | 10.4371 | − | 1.65307i | 0.749340 | − | 0.118684i | ||||
\(195\) | 1.31433 | − | 1.80902i | 0.0941210 | − | 0.129546i | ||||
\(196\) | −20.8172 | + | 6.76393i | −1.48695 | + | 0.483138i | ||||
\(197\) | 10.9549 | + | 15.0781i | 0.780505 | + | 1.07427i | 0.995226 | + | 0.0975980i | \(0.0311159\pi\) |
−0.214721 | + | 0.976676i | \(0.568884\pi\) | |||||||
\(198\) | −4.52647 | − | 2.30635i | −0.321682 | − | 0.163905i | ||||
\(199\) | 4.75528 | − | 14.6353i | 0.337093 | − | 1.03747i | −0.628589 | − | 0.777738i | \(-0.716367\pi\) |
0.965682 | − | 0.259728i | \(-0.0836329\pi\) | |||||||
\(200\) | −2.04331 | − | 12.9010i | −0.144484 | − | 0.912236i | ||||
\(201\) | −7.07295 | − | 2.29814i | −0.498887 | − | 0.162098i | ||||
\(202\) | 5.74258 | + | 11.2704i | 0.404046 | + | 0.792985i | ||||
\(203\) | 11.4984 | + | 8.35410i | 0.807032 | + | 0.586343i | ||||
\(204\) | −3.09017 | + | 9.51057i | −0.216355 | + | 0.665873i | ||||
\(205\) | −0.145898 | − | 0.449028i | −0.0101900 | − | 0.0313615i | ||||
\(206\) | 1.27085 | + | 0.201283i | 0.0885445 | + | 0.0140241i | ||||
\(207\) | −2.35114 | − | 7.23607i | −0.163416 | − | 0.502941i | ||||
\(208\) | 11.7082 | − | 16.1150i | 0.811818 | − | 1.11737i | ||||
\(209\) | −4.27051 | + | 5.87785i | −0.295397 | + | 0.406580i | ||||
\(210\) | 2.65688 | + | 0.420808i | 0.183342 | + | 0.0290385i | ||||
\(211\) | − | 21.4164i | − | 1.47437i | −0.675693 | − | 0.737183i | \(-0.736155\pi\) | ||
0.675693 | − | 0.737183i | \(-0.263845\pi\) | |||||||
\(212\) | 4.35926 | 0.299395 | ||||||||
\(213\) | 1.87132 | + | 2.57565i | 0.128221 | + | 0.176481i | ||||
\(214\) | 17.4572 | − | 8.89488i | 1.19335 | − | 0.608042i | ||||
\(215\) | 0.812299 | + | 2.50000i | 0.0553983 | + | 0.170499i | ||||
\(216\) | −7.95148 | − | 7.95148i | −0.541030 | − | 0.541030i | ||||
\(217\) | 9.28115 | − | 21.6825i | 0.630046 | − | 1.47191i | ||||
\(218\) | 7.18034 | − | 7.18034i | 0.486314 | − | 0.486314i | ||||
\(219\) | 0.812299 | − | 0.263932i | 0.0548901 | − | 0.0178349i | ||||
\(220\) | −1.70820 | − | 0.555029i | −0.115167 | − | 0.0374201i | ||||
\(221\) | −27.7254 | + | 20.1437i | −1.86501 | + | 1.35501i | ||||
\(222\) | −1.58359 | − | 1.58359i | −0.106284 | − | 0.106284i | ||||
\(223\) | 9.23305 | 0.618291 | 0.309145 | − | 0.951015i | \(-0.399957\pi\) | ||||
0.309145 | + | 0.951015i | \(0.399957\pi\) | |||||||
\(224\) | 23.6678 | + | 3.74861i | 1.58137 | + | 0.250465i | ||||
\(225\) | −9.23607 | − | 6.71040i | −0.615738 | − | 0.447360i | ||||
\(226\) | 16.1503 | − | 2.55795i | 1.07430 | − | 0.170152i | ||||
\(227\) | 1.71036 | − | 0.555728i | 0.113520 | − | 0.0368850i | −0.251706 | − | 0.967804i | \(-0.580992\pi\) |
0.365226 | + | 0.930919i | \(0.380992\pi\) | |||||||
\(228\) | −5.87785 | + | 4.27051i | −0.389270 | + | 0.282821i | ||||
\(229\) | −18.0902 | + | 5.87785i | −1.19543 | + | 0.388419i | −0.838078 | − | 0.545550i | \(-0.816321\pi\) |
−0.357354 | + | 0.933969i | \(0.616321\pi\) | |||||||
\(230\) | −1.22123 | − | 2.39680i | −0.0805256 | − | 0.158040i | ||||
\(231\) | −2.62866 | + | 3.61803i | −0.172953 | + | 0.238049i | ||||
\(232\) | −4.30834 | − | 8.45559i | −0.282856 | − | 0.555137i | ||||
\(233\) | −4.42705 | + | 13.6251i | −0.290026 | + | 0.892607i | 0.694821 | + | 0.719182i | \(0.255483\pi\) |
−0.984847 | + | 0.173425i | \(0.944517\pi\) | |||||||
\(234\) | −2.72353 | − | 17.1957i | −0.178042 | − | 1.12412i | ||||
\(235\) | 1.98787 | + | 0.645898i | 0.129674 | + | 0.0421337i | ||||
\(236\) | 2.14590 | + | 6.60440i | 0.139686 | + | 0.429909i | ||||
\(237\) | 8.61803 | − | 6.26137i | 0.559801 | − | 0.406720i | ||||
\(238\) | −36.7340 | − | 18.7169i | −2.38111 | − | 1.21324i | ||||
\(239\) | 21.3723 | + | 15.5279i | 1.38246 | + | 1.00441i | 0.996646 | + | 0.0818364i | \(0.0260785\pi\) |
0.385812 | + | 0.922578i | \(0.373921\pi\) | |||||||
\(240\) | −1.45309 | − | 1.05573i | −0.0937962 | − | 0.0681470i | ||||
\(241\) | 1.80902 | + | 2.48990i | 0.116529 | + | 0.160388i | 0.863297 | − | 0.504696i | \(-0.168395\pi\) |
−0.746768 | + | 0.665085i | \(0.768395\pi\) | |||||||
\(242\) | −8.88854 | + | 8.88854i | −0.571377 | + | 0.571377i | ||||
\(243\) | −15.2169 | −0.976165 | ||||||||
\(244\) | −16.1150 | + | 11.7082i | −1.03165 | + | 0.749541i | ||||
\(245\) | −2.09017 | + | 6.43288i | −0.133536 | + | 0.410982i | ||||
\(246\) | 0.699377 | + | 0.356351i | 0.0445907 | + | 0.0227201i | ||||
\(247\) | −24.8990 | −1.58428 | ||||||||
\(248\) | −12.0942 | + | 10.0861i | −0.767984 | + | 0.640469i | ||||
\(249\) | −4.67376 | −0.296188 | ||||||||
\(250\) | −7.49022 | − | 3.81646i | −0.473723 | − | 0.241374i | ||||
\(251\) | 0.726543 | − | 2.23607i | 0.0458590 | − | 0.141139i | −0.925505 | − | 0.378735i | \(-0.876359\pi\) |
0.971364 | + | 0.237595i | \(0.0763592\pi\) | |||||||
\(252\) | 16.9443 | − | 12.3107i | 1.06739 | − | 0.775503i | ||||
\(253\) | 4.47214 | 0.281161 | ||||||||
\(254\) | 3.97574 | − | 3.97574i | 0.249460 | − | 0.249460i | ||||
\(255\) | 1.81636 | + | 2.50000i | 0.113745 | + | 0.156556i | ||||
\(256\) | −12.9443 | − | 9.40456i | −0.809017 | − | 0.587785i | ||||
\(257\) | −5.61803 | − | 4.08174i | −0.350443 | − | 0.254612i | 0.398612 | − | 0.917120i | \(-0.369492\pi\) |
−0.749055 | + | 0.662508i | \(0.769492\pi\) | |||||||
\(258\) | −3.89384 | − | 1.98401i | −0.242420 | − | 0.123519i | ||||
\(259\) | 7.46969 | − | 5.42705i | 0.464144 | − | 0.337221i | ||||
\(260\) | −1.90211 | − | 5.85410i | −0.117964 | − | 0.363056i | ||||
\(261\) | −7.88854 | − | 2.56314i | −0.488289 | − | 0.158655i | ||||
\(262\) | −4.17113 | − | 26.3355i | −0.257693 | − | 1.62701i | ||||
\(263\) | −2.59590 | + | 7.98936i | −0.160070 | + | 0.492645i | −0.998639 | − | 0.0521502i | \(-0.983393\pi\) |
0.838569 | + | 0.544795i | \(0.183393\pi\) | |||||||
\(264\) | 2.66059 | − | 1.35564i | 0.163748 | − | 0.0834338i | ||||
\(265\) | 0.791796 | − | 1.08981i | 0.0486396 | − | 0.0669467i | ||||
\(266\) | −13.5986 | − | 26.6888i | −0.833785 | − | 1.63639i | ||||
\(267\) | 11.9475 | − | 3.88197i | 0.731173 | − | 0.237572i | ||||
\(268\) | −16.5623 | + | 12.0332i | −1.01170 | + | 0.735046i | ||||
\(269\) | 26.9336 | − | 8.75127i | 1.64217 | − | 0.533574i | 0.665150 | − | 0.746710i | \(-0.268368\pi\) |
0.977023 | + | 0.213136i | \(0.0683677\pi\) | |||||||
\(270\) | −3.43214 | + | 0.543598i | −0.208873 | + | 0.0330823i | ||||
\(271\) | 7.69421 | + | 5.59017i | 0.467390 | + | 0.339579i | 0.796423 | − | 0.604740i | \(-0.206723\pi\) |
−0.329033 | + | 0.944318i | \(0.606723\pi\) | |||||||
\(272\) | 16.1803 | + | 22.2703i | 0.981077 | + | 1.35034i | ||||
\(273\) | −15.3262 | −0.927586 | ||||||||
\(274\) | 0.898056 | + | 0.898056i | 0.0542535 | + | 0.0542535i | ||||
\(275\) | 5.42882 | − | 3.94427i | 0.327370 | − | 0.237849i | ||||
\(276\) | 4.25325 | + | 1.38197i | 0.256016 | + | 0.0831846i | ||||
\(277\) | −4.73607 | + | 1.53884i | −0.284563 | + | 0.0924600i | −0.447821 | − | 0.894123i | \(-0.647800\pi\) |
0.163258 | + | 0.986583i | \(0.447800\pi\) | |||||||
\(278\) | −0.449028 | + | 0.449028i | −0.0269309 | + | 0.0269309i | ||||
\(279\) | −1.24108 | + | 13.7082i | −0.0743017 | + | 0.820689i | ||||
\(280\) | 5.23607 | − | 5.23607i | 0.312915 | − | 0.312915i | ||||
\(281\) | 2.82624 | + | 8.69827i | 0.168599 | + | 0.518895i | 0.999283 | − | 0.0378488i | \(-0.0120505\pi\) |
−0.830684 | + | 0.556744i | \(0.812051\pi\) | |||||||
\(282\) | −3.09618 | + | 1.57758i | −0.184375 | + | 0.0939437i | ||||
\(283\) | −8.28199 | − | 11.3992i | −0.492313 | − | 0.677611i | 0.488499 | − | 0.872564i | \(-0.337545\pi\) |
−0.980813 | + | 0.194953i | \(0.937545\pi\) | |||||||
\(284\) | 8.76393 | 0.520044 | ||||||||
\(285\) | 2.24514i | 0.132991i | ||||||||
\(286\) | 10.1074 | + | 1.60085i | 0.597660 | + | 0.0946601i | ||||
\(287\) | −1.90211 | + | 2.61803i | −0.112278 | + | 0.154538i | ||||
\(288\) | −13.8123 | + | 2.18766i | −0.813900 | + | 0.128909i | ||||
\(289\) | −9.38197 | − | 28.8747i | −0.551880 | − | 1.69851i | ||||
\(290\) | −2.89645 | − | 0.458752i | −0.170085 | − | 0.0269388i | ||||
\(291\) | 1.67760 | + | 5.16312i | 0.0983426 | + | 0.302667i | ||||
\(292\) | 0.726543 | − | 2.23607i | 0.0425177 | − | 0.130856i | ||||
\(293\) | −9.51722 | − | 6.91467i | −0.556002 | − | 0.403959i | 0.273992 | − | 0.961732i | \(-0.411656\pi\) |
−0.829994 | + | 0.557773i | \(0.811656\pi\) | |||||||
\(294\) | −5.10516 | − | 10.0194i | −0.297739 | − | 0.584346i | ||||
\(295\) | 2.04087 | + | 0.663119i | 0.118824 | + | 0.0386083i | ||||
\(296\) | −6.08902 | + | 0.964406i | −0.353917 | + | 0.0560549i | ||||
\(297\) | 1.78522 | − | 5.49434i | 0.103589 | − | 0.318814i | ||||
\(298\) | 13.6770 | + | 6.96876i | 0.792285 | + | 0.403690i | ||||
\(299\) | 9.00854 | + | 12.3992i | 0.520977 | + | 0.717063i | ||||
\(300\) | 6.38197 | − | 2.07363i | 0.368463 | − | 0.119721i | ||||
\(301\) | 10.5902 | − | 14.5761i | 0.610407 | − | 0.840153i | ||||
\(302\) | 22.1218 | − | 3.50375i | 1.27297 | − | 0.201618i | ||||
\(303\) | −5.25731 | + | 3.81966i | −0.302025 | + | 0.219434i | ||||
\(304\) | 20.0000i | 1.14708i | ||||||||
\(305\) | 6.15537i | 0.352455i | ||||||||
\(306\) | 23.7638 | + | 3.76382i | 1.35849 | + | 0.215163i | ||||
\(307\) | −29.6870 | − | 9.64590i | −1.69433 | − | 0.550520i | −0.706724 | − | 0.707489i | \(-0.749828\pi\) |
−0.987604 | + | 0.156969i | \(0.949828\pi\) | |||||||
\(308\) | 3.80423 | + | 11.7082i | 0.216766 | + | 0.667137i | ||||
\(309\) | 0.661030i | 0.0376047i | ||||||||
\(310\) | 0.324786 | + | 4.85555i | 0.0184466 | + | 0.275777i | ||||
\(311\) | − | 12.7639i | − | 0.723776i | −0.932222 | − | 0.361888i | \(-0.882132\pi\) | ||
0.932222 | − | 0.361888i | \(-0.117868\pi\) | |||||||
\(312\) | 9.11798 | + | 4.64584i | 0.516204 | + | 0.263019i | ||||
\(313\) | 7.76393 | + | 2.52265i | 0.438843 | + | 0.142589i | 0.520102 | − | 0.854104i | \(-0.325894\pi\) |
−0.0812585 | + | 0.996693i | \(0.525894\pi\) | |||||||
\(314\) | 0.208903 | − | 1.31896i | 0.0117891 | − | 0.0744333i | ||||
\(315\) | − | 6.47214i | − | 0.364664i | ||||||
\(316\) | − | 29.3238i | − | 1.64959i | ||||||
\(317\) | −10.2361 | + | 7.43694i | −0.574915 | + | 0.417700i | −0.836887 | − | 0.547375i | \(-0.815627\pi\) |
0.261972 | + | 0.965075i | \(0.415627\pi\) | |||||||
\(318\) | 0.350341 | + | 2.21197i | 0.0196461 | + | 0.124041i | ||||
\(319\) | 2.86568 | − | 3.94427i | 0.160447 | − | 0.220837i | ||||
\(320\) | −4.70228 | + | 1.52786i | −0.262866 | + | 0.0854102i | ||||
\(321\) | 5.91641 | + | 8.14324i | 0.330222 | + | 0.454511i | ||||
\(322\) | −8.37045 | + | 16.4279i | −0.466467 | + | 0.915493i | ||||
\(323\) | 10.6331 | − | 32.7254i | 0.591643 | − | 1.82089i | ||||
\(324\) | −5.32282 | + | 7.32624i | −0.295712 | + | 0.407013i | ||||
\(325\) | 21.8713 | + | 7.10642i | 1.21320 | + | 0.394193i | ||||
\(326\) | −25.1312 | + | 12.8050i | −1.39189 | + | 0.709204i | ||||
\(327\) | 4.22050 | + | 3.06637i | 0.233394 | + | 0.169571i | ||||
\(328\) | 1.92522 | − | 0.980949i | 0.106303 | − | 0.0541639i | ||||
\(329\) | −4.42705 | − | 13.6251i | −0.244071 | − | 0.751174i | ||||
\(330\) | 0.144348 | − | 0.911380i | 0.00794612 | − | 0.0501698i | ||||
\(331\) | 8.92278 | + | 27.4615i | 0.490440 | + | 1.50942i | 0.823944 | + | 0.566671i | \(0.191769\pi\) |
−0.333504 | + | 0.942749i | \(0.608231\pi\) | |||||||
\(332\) | −7.56231 | + | 10.4086i | −0.415035 | + | 0.571247i | ||||
\(333\) | −3.16718 | + | 4.35926i | −0.173561 | + | 0.238886i | ||||
\(334\) | 1.80602 | − | 11.4028i | 0.0988211 | − | 0.623932i | ||||
\(335\) | 6.32624i | 0.345639i | ||||||||
\(336\) | 12.3107i | 0.671606i | ||||||||
\(337\) | 9.40983 | + | 12.9515i | 0.512586 | + | 0.705514i | 0.984353 | − | 0.176209i | \(-0.0563835\pi\) |
−0.471767 | + | 0.881723i | \(0.656384\pi\) | |||||||
\(338\) | 7.57502 | + | 14.8668i | 0.412027 | + | 0.808648i | ||||
\(339\) | 2.59590 | + | 7.98936i | 0.140990 | + | 0.433922i | ||||
\(340\) | 8.50651 | 0.461330 | ||||||||
\(341\) | −7.43769 | − | 3.18368i | −0.402774 | − | 0.172406i | ||||
\(342\) | 12.3607 | + | 12.3607i | 0.668389 | + | 0.668389i | ||||
\(343\) | 15.8904 | − | 5.16312i | 0.858003 | − | 0.278782i | ||||
\(344\) | −10.7188 | + | 5.46151i | −0.577920 | + | 0.294465i | ||||
\(345\) | 1.11803 | − | 0.812299i | 0.0601929 | − | 0.0437327i | ||||
\(346\) | 16.0344 | − | 16.0344i | 0.862017 | − | 0.862017i | ||||
\(347\) | −30.0503 | −1.61318 | −0.806592 | − | 0.591108i | \(-0.798691\pi\) | ||||
−0.806592 | + | 0.591108i | \(0.798691\pi\) | |||||||
\(348\) | 3.94427 | − | 2.86568i | 0.211435 | − | 0.153617i | ||||
\(349\) | 11.2812 | + | 8.19624i | 0.603866 | + | 0.438735i | 0.847249 | − | 0.531196i | \(-0.178257\pi\) |
−0.243383 | + | 0.969930i | \(0.578257\pi\) | |||||||
\(350\) | 4.32780 | + | 27.3247i | 0.231331 | + | 1.46057i | ||||
\(351\) | 18.8294 | − | 6.11803i | 1.00504 | − | 0.326556i | ||||
\(352\) | 1.28587 | − | 8.11869i | 0.0685373 | − | 0.432728i | ||||
\(353\) | 13.3541 | − | 4.33901i | 0.710767 | − | 0.230942i | 0.0687515 | − | 0.997634i | \(-0.478098\pi\) |
0.642016 | + | 0.766692i | \(0.278098\pi\) | |||||||
\(354\) | −3.17873 | + | 1.61964i | −0.168948 | + | 0.0860831i | ||||
\(355\) | 1.59184 | − | 2.19098i | 0.0844862 | − | 0.116285i | ||||
\(356\) | 10.6861 | − | 32.8885i | 0.566364 | − | 1.74309i | ||||
\(357\) | 6.54508 | − | 20.1437i | 0.346403 | − | 1.06612i | ||||
\(358\) | −3.67171 | + | 0.581542i | −0.194056 | + | 0.0307355i | ||||
\(359\) | −18.8294 | − | 6.11803i | −0.993776 | − | 0.322897i | −0.233400 | − | 0.972381i | \(-0.574985\pi\) |
−0.760376 | + | 0.649483i | \(0.774985\pi\) | |||||||
\(360\) | −1.96190 | + | 3.85044i | −0.103401 | + | 0.202936i | ||||
\(361\) | 4.85410 | − | 3.52671i | 0.255479 | − | 0.185616i | ||||
\(362\) | −1.97599 | + | 3.87811i | −0.103856 | + | 0.203829i | ||||
\(363\) | −5.22455 | − | 3.79586i | −0.274218 | − | 0.199231i | ||||
\(364\) | −24.7984 | + | 34.1320i | −1.29979 | + | 1.78900i | ||||
\(365\) | −0.427051 | − | 0.587785i | −0.0223529 | − | 0.0307661i | ||||
\(366\) | −7.23607 | − | 7.23607i | −0.378235 | − | 0.378235i | ||||
\(367\) | −4.08174 | −0.213065 | −0.106533 | − | 0.994309i | \(-0.533975\pi\) | ||||
−0.106533 | + | 0.994309i | \(0.533975\pi\) | |||||||
\(368\) | 9.95959 | − | 7.23607i | 0.519180 | − | 0.377206i | ||||
\(369\) | 0.583592 | − | 1.79611i | 0.0303806 | − | 0.0935019i | ||||
\(370\) | −0.864881 | + | 1.69742i | −0.0449630 | + | 0.0882449i | ||||
\(371\) | −9.23305 | −0.479356 | ||||||||
\(372\) | −6.08985 | − | 5.32624i | −0.315744 | − | 0.276153i | ||||
\(373\) | −12.4164 | −0.642897 | −0.321449 | − | 0.946927i | \(-0.604170\pi\) | ||||
−0.321449 | + | 0.946927i | \(0.604170\pi\) | |||||||
\(374\) | −6.42040 | + | 12.6007i | −0.331991 | + | 0.651569i | ||||
\(375\) | 1.33457 | − | 4.10739i | 0.0689170 | − | 0.212105i | ||||
\(376\) | −1.49640 | + | 9.44788i | −0.0771708 | + | 0.487237i | ||||
\(377\) | 16.7082 | 0.860516 | ||||||||
\(378\) | 16.8415 | + | 16.8415i | 0.866233 | + | 0.866233i | ||||
\(379\) | −16.3597 | − | 22.5172i | −0.840342 | − | 1.15663i | −0.985909 | − | 0.167283i | \(-0.946500\pi\) |
0.145567 | − | 0.989348i | \(-0.453500\pi\) | |||||||
\(380\) | 5.00000 | + | 3.63271i | 0.256495 | + | 0.186354i | ||||
\(381\) | 2.33688 | + | 1.69784i | 0.119722 | + | 0.0869832i | ||||
\(382\) | −9.84005 | + | 19.3122i | −0.503461 | + | 0.988097i | ||||
\(383\) | −28.2012 | + | 20.4894i | −1.44101 | + | 1.04696i | −0.453183 | + | 0.891417i | \(0.649712\pi\) |
−0.987830 | + | 0.155540i | \(0.950288\pi\) | |||||||
\(384\) | 3.73175 | − | 7.32398i | 0.190435 | − | 0.373750i | ||||
\(385\) | 3.61803 | + | 1.17557i | 0.184392 | + | 0.0599126i | ||||
\(386\) | −20.7482 | + | 3.28620i | −1.05606 | + | 0.167263i | ||||
\(387\) | −3.24920 | + | 10.0000i | −0.165166 | + | 0.508329i | ||||
\(388\) | 14.2128 | + | 4.61803i | 0.721548 | + | 0.234445i | ||||
\(389\) | −5.62868 | + | 7.74721i | −0.285385 | + | 0.392799i | −0.927508 | − | 0.373802i | \(-0.878054\pi\) |
0.642123 | + | 0.766602i | \(0.278054\pi\) | |||||||
\(390\) | 2.81761 | − | 1.43564i | 0.142675 | − | 0.0726967i | ||||
\(391\) | −20.1437 | + | 6.54508i | −1.01871 | + | 0.330999i | ||||
\(392\) | −30.5740 | − | 4.84244i | −1.54422 | − | 0.244580i | ||||
\(393\) | 13.0279 | − | 4.23301i | 0.657169 | − | 0.213527i | ||||
\(394\) | 4.12323 | + | 26.0331i | 0.207725 | + | 1.31153i | ||||
\(395\) | −7.33094 | − | 5.32624i | −0.368860 | − | 0.267992i | ||||
\(396\) | −4.22291 | − | 5.81234i | −0.212209 | − | 0.292081i | ||||
\(397\) | −12.0000 | −0.602263 | −0.301131 | − | 0.953583i | \(-0.597364\pi\) | ||||
−0.301131 | + | 0.953583i | \(0.597364\pi\) | |||||||
\(398\) | 15.3884 | − | 15.3884i | 0.771352 | − | 0.771352i | ||||
\(399\) | 12.4495 | − | 9.04508i | 0.623254 | − | 0.452821i | ||||
\(400\) | 5.70820 | − | 17.5680i | 0.285410 | − | 0.878402i | ||||
\(401\) | 13.2533 | − | 4.30625i | 0.661838 | − | 0.215044i | 0.0412112 | − | 0.999150i | \(-0.486878\pi\) |
0.620626 | + | 0.784106i | \(0.286878\pi\) | |||||||
\(402\) | −7.43694 | − | 7.43694i | −0.370921 | − | 0.370921i | ||||
\(403\) | −6.15537 | − | 27.0344i | −0.306621 | − | 1.34668i | ||||
\(404\) | 17.8885i | 0.889988i | ||||||||
\(405\) | 0.864745 | + | 2.66141i | 0.0429695 | + | 0.132247i | ||||
\(406\) | 9.12521 | + | 17.9092i | 0.452877 | + | 0.888820i | ||||
\(407\) | −1.86162 | − | 2.56231i | −0.0922773 | − | 0.127009i | ||||
\(408\) | −10.0000 | + | 10.0000i | −0.495074 | + | 0.495074i | ||||
\(409\) | 1.24108i | 0.0613676i | 0.999529 | + | 0.0306838i | \(0.00976849\pi\) | ||||
−0.999529 | + | 0.0306838i | \(0.990232\pi\) | |||||||
\(410\) | 0.104451 | − | 0.659481i | 0.00515849 | − | 0.0325694i | ||||
\(411\) | −0.383516 | + | 0.527864i | −0.0189174 | + | 0.0260376i | ||||
\(412\) | 1.47214 | + | 1.06957i | 0.0725269 | + | 0.0526939i | ||||
\(413\) | −4.54508 | − | 13.9883i | −0.223649 | − | 0.688321i | ||||
\(414\) | 1.68323 | − | 10.6275i | 0.0827263 | − | 0.522313i | ||||
\(415\) | 1.22857 | + | 3.78115i | 0.0603082 | + | 0.185609i | ||||
\(416\) | 25.0996 | − | 12.7889i | 1.23061 | − | 0.627028i | ||||
\(417\) | −0.263932 | − | 0.191758i | −0.0129248 | − | 0.00939042i | ||||
\(418\) | −9.15497 | + | 4.66469i | −0.447784 | + | 0.228157i | ||||
\(419\) | 2.07363 | + | 0.673762i | 0.101303 | + | 0.0329154i | 0.359230 | − | 0.933249i | \(-0.383039\pi\) |
−0.257927 | + | 0.966164i | \(0.583039\pi\) | |||||||
\(420\) | 3.07768 | + | 2.23607i | 0.150176 | + | 0.109109i | ||||
\(421\) | −6.67376 | + | 20.5397i | −0.325259 | + | 1.00105i | 0.646064 | + | 0.763283i | \(0.276414\pi\) |
−0.971323 | + | 0.237762i | \(0.923586\pi\) | |||||||
\(422\) | 13.7502 | − | 26.9862i | 0.669348 | − | 1.31367i | ||||
\(423\) | 4.91428 | + | 6.76393i | 0.238941 | + | 0.328874i | ||||
\(424\) | 5.49298 | + | 2.79881i | 0.266763 | + | 0.135922i | ||||
\(425\) | −18.6803 | + | 25.7113i | −0.906130 | + | 1.24718i | ||||
\(426\) | 0.704332 | + | 4.44698i | 0.0341250 | + | 0.215457i | ||||
\(427\) | 34.1320 | − | 24.7984i | 1.65176 | − | 1.20008i | ||||
\(428\) | 27.7082 | 1.33933 | ||||||||
\(429\) | 5.25731i | 0.253825i | ||||||||
\(430\) | −0.581542 | + | 3.67171i | −0.0280444 | + | 0.177066i | ||||
\(431\) | 25.7970 | + | 8.38197i | 1.24260 | + | 0.403745i | 0.855263 | − | 0.518193i | \(-0.173395\pi\) |
0.387336 | + | 0.921939i | \(0.373395\pi\) | |||||||
\(432\) | −4.91428 | − | 15.1246i | −0.236439 | − | 0.727683i | ||||
\(433\) | − | 22.6134i | − | 1.08673i | −0.839497 | − | 0.543364i | \(-0.817150\pi\) | ||
0.839497 | − | 0.543364i | \(-0.182850\pi\) | |||||||
\(434\) | 25.6160 | − | 21.3627i | 1.22961 | − | 1.02544i | ||||
\(435\) | − | 1.50658i | − | 0.0722349i | ||||||
\(436\) | 13.6578 | − | 4.43769i | 0.654091 | − | 0.212527i | ||||
\(437\) | −14.6353 | − | 4.75528i | −0.700099 | − | 0.227476i | ||||
\(438\) | 1.19301 | + | 0.188954i | 0.0570043 | + | 0.00902859i | ||||
\(439\) | 13.4721i | 0.642990i | 0.946911 | + | 0.321495i | \(0.104185\pi\) | ||||
−0.946911 | + | 0.321495i | \(0.895815\pi\) | |||||||
\(440\) | −1.79611 | − | 1.79611i | −0.0856263 | − | 0.0856263i | ||||
\(441\) | −21.8885 | + | 15.9030i | −1.04231 | + | 0.757284i | ||||
\(442\) | −47.8691 | + | 7.58172i | −2.27690 | + | 0.360626i | ||||
\(443\) | 18.2946 | − | 25.1803i | 0.869202 | − | 1.19635i | −0.110094 | − | 0.993921i | \(-0.535115\pi\) |
0.979296 | − | 0.202433i | \(-0.0648848\pi\) | |||||||
\(444\) | −0.978714 | − | 3.01217i | −0.0464477 | − | 0.142951i | ||||
\(445\) | −6.28115 | − | 8.64527i | −0.297755 | − | 0.409825i | ||||
\(446\) | 11.6343 | + | 5.92798i | 0.550901 | + | 0.280698i | ||||
\(447\) | −2.43690 | + | 7.50000i | −0.115261 | + | 0.354738i | ||||
\(448\) | 27.4164 | + | 19.9192i | 1.29530 | + | 0.941093i | ||||
\(449\) | 34.5967 | + | 11.2412i | 1.63272 | + | 0.530503i | 0.974895 | − | 0.222666i | \(-0.0714759\pi\) |
0.657827 | + | 0.753169i | \(0.271476\pi\) | |||||||
\(450\) | −7.32979 | − | 14.3855i | −0.345529 | − | 0.678140i | ||||
\(451\) | 0.898056 | + | 0.652476i | 0.0422878 | + | 0.0307239i | ||||
\(452\) | 21.9928 | + | 7.14590i | 1.03445 | + | 0.336115i | ||||
\(453\) | 3.55573 | + | 10.9434i | 0.167063 | + | 0.514166i | ||||
\(454\) | 2.51197 | + | 0.397857i | 0.117893 | + | 0.0186724i | ||||
\(455\) | 4.02874 | + | 12.3992i | 0.188870 | + | 0.581283i | ||||
\(456\) | −10.1484 | + | 1.60734i | −0.475241 | + | 0.0752707i | ||||
\(457\) | 7.17376 | − | 9.87384i | 0.335574 | − | 0.461879i | −0.607568 | − | 0.794268i | \(-0.707855\pi\) |
0.943142 | + | 0.332389i | \(0.107855\pi\) | |||||||
\(458\) | −26.5688 | − | 4.20808i | −1.24148 | − | 0.196631i | ||||
\(459\) | 27.3607i | 1.27709i | ||||||||
\(460\) | − | 3.80423i | − | 0.177373i | ||||||
\(461\) | −23.9058 | − | 32.9035i | −1.11340 | − | 1.53247i | −0.816306 | − | 0.577620i | \(-0.803982\pi\) |
−0.297096 | − | 0.954848i | \(-0.596018\pi\) | |||||||
\(462\) | −5.63522 | + | 2.87129i | −0.262174 | + | 0.133584i | ||||
\(463\) | −1.79611 | − | 5.52786i | −0.0834724 | − | 0.256902i | 0.900606 | − | 0.434636i | \(-0.143123\pi\) |
−0.984078 | + | 0.177735i | \(0.943123\pi\) | |||||||
\(464\) | − | 13.4208i | − | 0.623045i | ||||||
\(465\) | −2.43769 | + | 0.555029i | −0.113045 | + | 0.0257389i | ||||
\(466\) | −14.3262 | + | 14.3262i | −0.663650 | + | 0.663650i | ||||
\(467\) | −24.1194 | + | 7.83688i | −1.11611 | + | 0.362648i | −0.808284 | − | 0.588793i | \(-0.799603\pi\) |
−0.307831 | + | 0.951441i | \(0.599603\pi\) | |||||||
\(468\) | 7.60845 | − | 23.4164i | 0.351701 | − | 1.08242i | ||||
\(469\) | 35.0795 | − | 25.4868i | 1.61982 | − | 1.17687i | ||||
\(470\) | 2.09017 | + | 2.09017i | 0.0964124 | + | 0.0964124i | ||||
\(471\) | 0.686054 | 0.0316117 | ||||||||
\(472\) | −1.53629 | + | 9.69977i | −0.0707136 | + | 0.446468i | ||||
\(473\) | −5.00000 | − | 3.63271i | −0.229900 | − | 0.167032i | ||||
\(474\) | 14.8794 | − | 2.35667i | 0.683434 | − | 0.108245i | ||||
\(475\) | −21.9601 | + | 7.13525i | −1.00760 | + | 0.327388i | ||||
\(476\) | −34.2705 | − | 47.1693i | −1.57079 | − | 2.16200i | ||||
\(477\) | 5.12461 | − | 1.66509i | 0.234640 | − | 0.0762391i | ||||
\(478\) | 16.9611 | + | 33.2881i | 0.775784 | + | 1.52256i | ||||
\(479\) | −10.4741 | + | 14.4164i | −0.478575 | + | 0.658702i | −0.978230 | − | 0.207522i | \(-0.933460\pi\) |
0.499655 | + | 0.866225i | \(0.333460\pi\) | |||||||
\(480\) | −1.15317 | − | 2.26323i | −0.0526350 | − | 0.103302i | ||||
\(481\) | 3.35410 | − | 10.3229i | 0.152934 | − | 0.470682i | ||||
\(482\) | 0.680881 | + | 4.29892i | 0.0310133 | + | 0.195810i | ||||
\(483\) | −9.00854 | − | 2.92705i | −0.409903 | − | 0.133185i | ||||
\(484\) | −16.9070 | + | 5.49342i | −0.768501 | + | 0.249701i | ||||
\(485\) | 3.73607 | − | 2.71441i | 0.169646 | − | 0.123255i | ||||
\(486\) | −19.1744 | − | 9.76985i | −0.869769 | − | 0.443170i | ||||
\(487\) | −5.48183 | − | 3.98278i | −0.248405 | − | 0.180477i | 0.456615 | − | 0.889665i | \(-0.349062\pi\) |
−0.705020 | + | 0.709188i | \(0.749062\pi\) | |||||||
\(488\) | −27.8232 | + | 4.40676i | −1.25950 | + | 0.199484i | ||||
\(489\) | −8.51722 | − | 11.7229i | −0.385162 | − | 0.530130i | ||||
\(490\) | −6.76393 | + | 6.76393i | −0.305563 | + | 0.305563i | ||||
\(491\) | 33.1280 | 1.49504 | 0.747522 | − | 0.664237i | \(-0.231243\pi\) | ||||
0.747522 | + | 0.664237i | \(0.231243\pi\) | |||||||
\(492\) | 0.652476 | + | 0.898056i | 0.0294159 | + | 0.0404875i | ||||
\(493\) | −7.13525 | + | 21.9601i | −0.321356 | + | 0.989031i | ||||
\(494\) | −31.3745 | − | 15.9861i | −1.41161 | − | 0.719250i | ||||
\(495\) | −2.22012 | −0.0997868 | ||||||||
\(496\) | −21.7153 | + | 4.94427i | −0.975046 | + | 0.222004i | ||||
\(497\) | −18.5623 | −0.832633 | ||||||||
\(498\) | −5.88928 | − | 3.00074i | −0.263905 | − | 0.134466i | ||||
\(499\) | 0.930812 | − | 2.86475i | 0.0416689 | − | 0.128244i | −0.928058 | − | 0.372436i | \(-0.878523\pi\) |
0.969727 | + | 0.244192i | \(0.0785227\pi\) | |||||||
\(500\) | −6.98791 | − | 9.61803i | −0.312509 | − | 0.430132i | ||||
\(501\) | 5.93112 | 0.264983 | ||||||||
\(502\) | 2.35114 | − | 2.35114i | 0.104937 | − | 0.104937i | ||||
\(503\) | 18.4131 | + | 25.3435i | 0.821000 | + | 1.13001i | 0.989532 | + | 0.144313i | \(0.0460972\pi\) |
−0.168533 | + | 0.985696i | \(0.553903\pi\) | |||||||
\(504\) | 29.2550 | − | 4.63354i | 1.30312 | − | 0.206394i | ||||
\(505\) | 4.47214 | + | 3.24920i | 0.199007 | + | 0.144587i | ||||
\(506\) | 5.63522 | + | 2.87129i | 0.250516 | + | 0.127644i | ||||
\(507\) | −6.93491 | + | 5.03851i | −0.307990 | + | 0.223768i | ||||
\(508\) | 7.56231 | − | 2.45714i | 0.335523 | − | 0.109018i | ||||
\(509\) | −13.8820 | − | 4.51052i | −0.615307 | − | 0.199925i | −0.0152516 | − | 0.999884i | \(-0.504855\pi\) |
−0.600056 | + | 0.799958i | \(0.704855\pi\) | |||||||
\(510\) | 0.683644 | + | 4.31636i | 0.0302723 | + | 0.191131i | ||||
\(511\) | −1.53884 | + | 4.73607i | −0.0680744 | + | 0.209511i | ||||
\(512\) | −10.2726 | − | 20.1612i | −0.453990 | − | 0.891007i | ||||
\(513\) | −11.6844 | + | 16.0822i | −0.515879 | + | 0.710047i | ||||
\(514\) | −4.45850 | − | 8.75029i | −0.196656 | − | 0.385959i | ||||
\(515\) | 0.534785 | − | 0.173762i | 0.0235654 | − | 0.00765687i | ||||
\(516\) | −3.63271 | − | 5.00000i | −0.159921 | − | 0.220113i | ||||
\(517\) | −4.67376 | + | 1.51860i | −0.205552 | + | 0.0667878i | ||||
\(518\) | 12.8967 | − | 2.04264i | 0.566650 | − | 0.0897486i | ||||
\(519\) | 9.42481 | + | 6.84752i | 0.413703 | + | 0.300573i | ||||
\(520\) | 1.36176 | − | 8.59783i | 0.0597172 | − | 0.377040i | ||||
\(521\) | −4.34752 | −0.190468 | −0.0952342 | − | 0.995455i | \(-0.530360\pi\) | ||||
−0.0952342 | + | 0.995455i | \(0.530360\pi\) | |||||||
\(522\) | −8.29451 | − | 8.29451i | −0.363041 | − | 0.363041i | ||||
\(523\) | 17.7068 | − | 12.8647i | 0.774264 | − | 0.562536i | −0.128988 | − | 0.991646i | \(-0.541173\pi\) |
0.903252 | + | 0.429110i | \(0.141173\pi\) | |||||||
\(524\) | 11.6525 | − | 35.8626i | 0.509041 | − | 1.56667i | ||||
\(525\) | −13.5172 | + | 4.39201i | −0.589940 | + | 0.191683i | ||||
\(526\) | −8.40051 | + | 8.40051i | −0.366280 | + | 0.366280i | ||||
\(527\) | 38.1608 | + | 3.45492i | 1.66231 | + | 0.150498i | ||||
\(528\) | 4.22291 | 0.183779 | ||||||||
\(529\) | −4.18034 | − | 12.8658i | −0.181754 | − | 0.559381i | ||||
\(530\) | 1.69742 | − | 0.864881i | 0.0737314 | − | 0.0375680i | ||||
\(531\) | 5.04531 | + | 6.94427i | 0.218948 | + | 0.301356i | ||||
\(532\) | − | 42.3607i | − | 1.83657i | ||||||
\(533\) | 3.80423i | 0.164779i | ||||||||
\(534\) | 17.5471 | + | 2.77918i | 0.759335 | + | 0.120267i | ||||
\(535\) | 5.03280 | − | 6.92705i | 0.217587 | − | 0.299483i | ||||
\(536\) | −28.5955 | + | 4.52909i | −1.23514 | + | 0.195627i | ||||
\(537\) | −0.590170 | − | 1.81636i | −0.0254677 | − | 0.0783816i | ||||
\(538\) | 39.5570 | + | 6.26522i | 1.70542 | + | 0.270113i | ||||
\(539\) | −4.91428 | − | 15.1246i | −0.211673 | − | 0.651463i | ||||
\(540\) | −4.67376 | − | 1.51860i | −0.201127 | − | 0.0653500i | ||||
\(541\) | 8.61803 | + | 6.26137i | 0.370518 | + | 0.269197i | 0.757426 | − | 0.652921i | \(-0.226457\pi\) |
−0.386908 | + | 0.922119i | \(0.626457\pi\) | |||||||
\(542\) | 6.10616 | + | 11.9840i | 0.262282 | + | 0.514757i | ||||
\(543\) | −2.12663 | − | 0.690983i | −0.0912623 | − | 0.0296529i | ||||
\(544\) | 6.08999 | + | 38.4507i | 0.261106 | + | 1.64856i | ||||
\(545\) | 1.37132 | − | 4.22050i | 0.0587410 | − | 0.180786i | ||||
\(546\) | −19.3122 | − | 9.84005i | −0.826485 | − | 0.421115i | ||||
\(547\) | 0.171513 | + | 0.236068i | 0.00733338 | + | 0.0100935i | 0.812668 | − | 0.582727i | \(-0.198014\pi\) |
−0.805335 | + | 0.592821i | \(0.798014\pi\) | |||||||
\(548\) | 0.555029 | + | 1.70820i | 0.0237097 | + | 0.0729709i | ||||
\(549\) | −14.4721 | + | 19.9192i | −0.617656 | + | 0.850130i | ||||
\(550\) | 9.37310 | − | 1.48455i | 0.399670 | − | 0.0633015i | ||||
\(551\) | −13.5721 | + | 9.86068i | −0.578189 | + | 0.420079i | ||||
\(552\) | 4.47214 | + | 4.47214i | 0.190347 | + | 0.190347i | ||||
\(553\) | 62.1087i | 2.64113i | ||||||||
\(554\) | −6.95579 | − | 1.10169i | −0.295523 | − | 0.0468063i | ||||
\(555\) | −0.930812 | − | 0.302439i | −0.0395108 | − | 0.0128378i | ||||
\(556\) | −0.854102 | + | 0.277515i | −0.0362220 | + | 0.0117692i | ||||
\(557\) | 24.9645i | 1.05778i | 0.848691 | + | 0.528890i | \(0.177392\pi\) | ||||
−0.848691 | + | 0.528890i | \(0.822608\pi\) | |||||||
\(558\) | −10.3651 | + | 16.4765i | −0.438788 | + | 0.697507i | ||||
\(559\) | − | 21.1803i | − | 0.895833i | ||||||
\(560\) | 9.95959 | − | 3.23607i | 0.420870 | − | 0.136749i | ||||
\(561\) | −6.90983 | − | 2.24514i | −0.291733 | − | 0.0947899i | ||||
\(562\) | −2.02336 | + | 12.7750i | −0.0853504 | + | 0.538881i | ||||
\(563\) | − | 33.6869i | − | 1.41973i | −0.704336 | − | 0.709867i | \(-0.748755\pi\) | ||
0.704336 | − | 0.709867i | \(-0.251245\pi\) | |||||||
\(564\) | −4.91428 | −0.206929 | ||||||||
\(565\) | 5.78115 | − | 4.20025i | 0.243215 | − | 0.176706i | ||||
\(566\) | −3.11719 | − | 19.6812i | −0.131025 | − | 0.827262i | ||||
\(567\) | 11.2739 | − | 15.5172i | 0.473460 | − | 0.651662i | ||||
\(568\) | 11.0432 | + | 5.62679i | 0.463362 | + | 0.236095i | ||||
\(569\) | −21.3820 | − | 29.4298i | −0.896379 | − | 1.23376i | −0.971609 | − | 0.236593i | \(-0.923969\pi\) |
0.0752302 | − | 0.997166i | \(-0.476031\pi\) | |||||||
\(570\) | −1.44147 | + | 2.82904i | −0.0603765 | + | 0.118496i | ||||
\(571\) | −7.44945 | + | 22.9271i | −0.311750 | + | 0.959467i | 0.665322 | + | 0.746557i | \(0.268294\pi\) |
−0.977072 | + | 0.212911i | \(0.931706\pi\) | |||||||
\(572\) | 11.7082 | + | 8.50651i | 0.489545 | + | 0.355675i | ||||
\(573\) | −10.5902 | − | 3.44095i | −0.442411 | − | 0.143748i | ||||
\(574\) | −4.07768 | + | 2.07768i | −0.170199 | + | 0.0867208i | ||||
\(575\) | 11.4984 | + | 8.35410i | 0.479518 | + | 0.348390i | ||||
\(576\) | −18.8091 | − | 6.11146i | −0.783714 | − | 0.254644i | ||||
\(577\) | 3.10081 | + | 9.54332i | 0.129089 | + | 0.397294i | 0.994624 | − | 0.103554i | \(-0.0330216\pi\) |
−0.865535 | + | 0.500848i | \(0.833022\pi\) | |||||||
\(578\) | 6.71675 | − | 42.4079i | 0.279380 | − | 1.76393i | ||||
\(579\) | −3.33495 | − | 10.2639i | −0.138596 | − | 0.426554i | ||||
\(580\) | −3.35520 | − | 2.43769i | −0.139317 | − | 0.101220i | ||||
\(581\) | 16.0172 | − | 22.0458i | 0.664506 | − | 0.914614i | ||||
\(582\) | −1.20103 | + | 7.58299i | −0.0497842 | + | 0.314325i | ||||
\(583\) | 3.16718i | 0.131171i | ||||||||
\(584\) | 2.35114 | − | 2.35114i | 0.0972909 | − | 0.0972909i | ||||
\(585\) | −4.47214 | − | 6.15537i | −0.184900 | − | 0.254493i | ||||
\(586\) | −7.55291 | − | 14.8234i | −0.312008 | − | 0.612350i | ||||
\(587\) | −0.0530006 | − | 0.163119i | −0.00218757 | − | 0.00673264i | 0.949957 | − | 0.312381i | \(-0.101127\pi\) |
−0.952144 | + | 0.305649i | \(0.901127\pi\) | |||||||
\(588\) | − | 15.9030i | − | 0.655827i | ||||||
\(589\) | 20.9549 | + | 18.3273i | 0.863432 | + | 0.755165i | ||||
\(590\) | 2.14590 | + | 2.14590i | 0.0883452 | + | 0.0883452i | ||||
\(591\) | −12.8783 | + | 4.18441i | −0.529741 | + | 0.172123i | ||||
\(592\) | −8.29180 | − | 2.69417i | −0.340791 | − | 0.110730i | ||||
\(593\) | 4.85410 | − | 3.52671i | 0.199334 | − | 0.144825i | −0.483641 | − | 0.875267i | \(-0.660686\pi\) |
0.682975 | + | 0.730442i | \(0.260686\pi\) | |||||||
\(594\) | 5.77709 | − | 5.77709i | 0.237037 | − | 0.237037i | ||||
\(595\) | −18.0171 | −0.738628 | ||||||||
\(596\) | 12.7598 | + | 17.5623i | 0.522660 | + | 0.719380i | ||||
\(597\) | 9.04508 | + | 6.57164i | 0.370191 | + | 0.268959i | ||||
\(598\) | 3.39065 | + | 21.4077i | 0.138654 | + | 0.875427i | ||||
\(599\) | 30.5851 | − | 9.93769i | 1.24967 | − | 0.406043i | 0.391869 | − | 0.920021i | \(-0.371829\pi\) |
0.857803 | + | 0.513978i | \(0.171829\pi\) | |||||||
\(600\) | 9.37310 | + | 1.48455i | 0.382655 | + | 0.0606066i | ||||
\(601\) | −30.8541 | + | 10.0251i | −1.25857 | + | 0.408933i | −0.860983 | − | 0.508634i | \(-0.830151\pi\) |
−0.397582 | + | 0.917567i | \(0.630151\pi\) | |||||||
\(602\) | 22.7028 | − | 11.5677i | 0.925299 | − | 0.471463i | ||||
\(603\) | −14.8739 | + | 20.4721i | −0.605711 | + | 0.833690i | ||||
\(604\) | 30.1246 | + | 9.78808i | 1.22575 | + | 0.398271i | ||||
\(605\) | −1.69756 | + | 5.22455i | −0.0690157 | + | 0.212408i | ||||
\(606\) | −9.07697 | + | 1.43765i | −0.368727 | + | 0.0584006i | ||||
\(607\) | 6.15537 | + | 2.00000i | 0.249839 | + | 0.0811775i | 0.431259 | − | 0.902228i | \(-0.358069\pi\) |
−0.181420 | + | 0.983406i | \(0.558069\pi\) | |||||||
\(608\) | −12.8408 | + | 25.2015i | −0.520763 | + | 1.02205i | ||||
\(609\) | −8.35410 | + | 6.06961i | −0.338525 | + | 0.245953i | ||||
\(610\) | −3.95199 | + | 7.75621i | −0.160011 | + | 0.314040i | ||||
\(611\) | −13.6251 | − | 9.89919i | −0.551211 | − | 0.400478i | ||||
\(612\) | 27.5276 | + | 20.0000i | 1.11274 | + | 0.808452i | ||||
\(613\) | 23.2918 | + | 32.0584i | 0.940747 | + | 1.29483i | 0.955517 | + | 0.294936i | \(0.0952983\pi\) |
−0.0147702 | + | 0.999891i | \(0.504702\pi\) | |||||||
\(614\) | −31.2148 | − | 31.2148i | −1.25973 | − | 1.25973i | ||||
\(615\) | 0.343027 | 0.0138322 | ||||||||
\(616\) | −2.72353 | + | 17.1957i | −0.109734 | + | 0.692833i | ||||
\(617\) | −4.39919 | + | 13.5393i | −0.177105 | + | 0.545072i | −0.999723 | − | 0.0235215i | \(-0.992512\pi\) |
0.822619 | + | 0.568593i | \(0.192512\pi\) | |||||||
\(618\) | −0.424408 | + | 0.832947i | −0.0170722 | + | 0.0335060i | ||||
\(619\) | 10.1716 | 0.408831 | 0.204415 | − | 0.978884i | \(-0.434471\pi\) | ||||
0.204415 | + | 0.978884i | \(0.434471\pi\) | |||||||
\(620\) | −2.70820 | + | 6.32688i | −0.108764 | + | 0.254094i | ||||
\(621\) | 12.2361 | 0.491016 | ||||||||
\(622\) | 8.19495 | − | 16.0835i | 0.328588 | − | 0.644889i | ||||
\(623\) | −22.6336 | + | 69.6591i | −0.906796 | + | 2.79083i | ||||
\(624\) | 8.50651 | + | 11.7082i | 0.340533 | + | 0.468703i | ||||
\(625\) | 19.4164 | 0.776656 | ||||||||
\(626\) | 8.16348 | + | 8.16348i | 0.326278 | + | 0.326278i | ||||
\(627\) | −3.10271 | − | 4.27051i | −0.123910 | − | 0.170548i | ||||
\(628\) | 1.11006 | − | 1.52786i | 0.0442961 | − | 0.0609684i | ||||
\(629\) | 12.1353 | + | 8.81678i | 0.483864 | + | 0.351548i | ||||
\(630\) | 4.15537 | − | 8.15537i | 0.165554 | − | 0.324918i | ||||
\(631\) | 2.26538 | − | 1.64590i | 0.0901835 | − | 0.0655222i | −0.541780 | − | 0.840520i | \(-0.682249\pi\) |
0.631963 | + | 0.774998i | \(0.282249\pi\) | |||||||
\(632\) | 18.8270 | − | 36.9501i | 0.748898 | − | 1.46980i | ||||
\(633\) | 14.7984 | + | 4.80828i | 0.588183 | + | 0.191112i | ||||
\(634\) | −17.6730 | + | 2.79913i | −0.701885 | + | 0.111168i | ||||
\(635\) | 0.759299 | − | 2.33688i | 0.0301318 | − | 0.0927363i | ||||
\(636\) | −0.978714 | + | 3.01217i | −0.0388085 | + | 0.119440i | ||||
\(637\) | 32.0344 | − | 44.0916i | 1.26925 | − | 1.74697i | ||||
\(638\) | 6.14335 | − | 3.13019i | 0.243217 | − | 0.123925i | ||||
\(639\) | 10.3026 | − | 3.34752i | 0.407565 | − | 0.132426i | ||||
\(640\) | −6.90617 | − | 1.09383i | −0.272990 | − | 0.0432374i | ||||
\(641\) | 9.57295 | − | 3.11044i | 0.378109 | − | 0.122855i | −0.113796 | − | 0.993504i | \(-0.536301\pi\) |
0.491904 | + | 0.870649i | \(0.336301\pi\) | |||||||
\(642\) | 2.22683 | + | 14.0596i | 0.0878859 | + | 0.554890i | ||||
\(643\) | 18.8294 | + | 13.6803i | 0.742558 | + | 0.539500i | 0.893511 | − | 0.449041i | \(-0.148234\pi\) |
−0.150953 | + | 0.988541i | \(0.548234\pi\) | |||||||
\(644\) | −21.0948 | + | 15.3262i | −0.831250 | + | 0.603938i | ||||
\(645\) | −1.90983 | −0.0751995 | ||||||||
\(646\) | 34.4095 | − | 34.4095i | 1.35383 | − | 1.35383i | ||||
\(647\) | −14.9394 | + | 10.8541i | −0.587328 | + | 0.426719i | −0.841359 | − | 0.540477i | \(-0.818244\pi\) |
0.254031 | + | 0.967196i | \(0.418244\pi\) | |||||||
\(648\) | −11.4109 | + | 5.81414i | −0.448262 | + | 0.228401i | ||||
\(649\) | −4.79837 | + | 1.55909i | −0.188353 | + | 0.0611995i | ||||
\(650\) | 22.9969 | + | 22.9969i | 0.902011 | + | 0.902011i | ||||
\(651\) | 12.8985 | + | 11.2812i | 0.505533 | + | 0.442143i | ||||
\(652\) | −39.8885 | −1.56216 | ||||||||
\(653\) | −1.27458 | − | 3.92274i | −0.0498780 | − | 0.153509i | 0.923015 | − | 0.384763i | \(-0.125717\pi\) |
−0.972893 | + | 0.231255i | \(0.925717\pi\) | |||||||
\(654\) | 3.34941 | + | 6.57358i | 0.130972 | + | 0.257047i | ||||
\(655\) | −6.84915 | − | 9.42705i | −0.267619 | − | 0.368345i | ||||
\(656\) | 3.05573 | 0.119306 | ||||||||
\(657\) | − | 2.90617i | − | 0.113380i | ||||||
\(658\) | 3.16942 | − | 20.0109i | 0.123557 | − | 0.780107i | ||||
\(659\) | −5.06555 | + | 6.97214i | −0.197326 | + | 0.271596i | −0.896201 | − | 0.443648i | \(-0.853684\pi\) |
0.698875 | + | 0.715243i | \(0.253684\pi\) | |||||||
\(660\) | 0.767031 | − | 1.05573i | 0.0298567 | − | 0.0410942i | ||||
\(661\) | 0.628677 | + | 1.93487i | 0.0244527 | + | 0.0752577i | 0.962538 | − | 0.271146i | \(-0.0874027\pi\) |
−0.938085 | + | 0.346404i | \(0.887403\pi\) | |||||||
\(662\) | −6.38801 | + | 40.3323i | −0.248277 | + | 1.56756i | ||||
\(663\) | −7.69421 | − | 23.6803i | −0.298818 | − | 0.919668i | ||||
\(664\) | −16.2118 | + | 8.26033i | −0.629140 | + | 0.320563i | ||||
\(665\) | −10.5902 | − | 7.69421i | −0.410669 | − | 0.298369i | ||||
\(666\) | −6.78970 | + | 3.45952i | −0.263095 | + | 0.134054i | ||||
\(667\) | 9.82084 | + | 3.19098i | 0.380264 | + | 0.123555i | ||||
\(668\) | 9.59675 | − | 13.2088i | 0.371309 | − | 0.511063i | ||||
\(669\) | −2.07295 | + | 6.37988i | −0.0801448 | + | 0.246660i | ||||
\(670\) | −4.06169 | + | 7.97152i | −0.156917 | + | 0.307967i | ||||
\(671\) | −8.50651 | − | 11.7082i | −0.328390 | − | 0.451990i | ||||
\(672\) | −7.90398 | + | 15.5124i | −0.304903 | + | 0.598405i | ||||
\(673\) | 16.0795 | − | 22.1316i | 0.619820 | − | 0.853109i | −0.377520 | − | 0.926002i | \(-0.623223\pi\) |
0.997340 | + | 0.0728923i | \(0.0232229\pi\) | |||||||
\(674\) | 3.54169 | + | 22.3614i | 0.136421 | + | 0.861327i | ||||
\(675\) | 14.8536 | − | 10.7918i | 0.571717 | − | 0.415376i | ||||
\(676\) | 23.5967i | 0.907567i | ||||||||
\(677\) | − | 21.3723i | − | 0.821403i | −0.911770 | − | 0.410702i | \(-0.865284\pi\) | ||
0.911770 | − | 0.410702i | \(-0.134716\pi\) | |||||||
\(678\) | −1.85846 | + | 11.7338i | −0.0713737 | + | 0.450636i | ||||
\(679\) | −30.1033 | − | 9.78115i | −1.15526 | − | 0.375366i | ||||
\(680\) | 10.7188 | + | 5.46151i | 0.411048 | + | 0.209440i | ||||
\(681\) | 1.30660i | 0.0500688i | ||||||||
\(682\) | −7.32799 | − | 8.78697i | −0.280603 | − | 0.336470i | ||||
\(683\) | − | 14.1246i | − | 0.540463i | −0.962795 | − | 0.270232i | \(-0.912900\pi\) | ||
0.962795 | − | 0.270232i | \(-0.0871003\pi\) | |||||||
\(684\) | 7.63932 | + | 23.5114i | 0.292097 | + | 0.898981i | ||||
\(685\) | 0.527864 | + | 0.171513i | 0.0201686 | + | 0.00655319i | ||||
\(686\) | 23.3381 | + | 3.69639i | 0.891051 | + | 0.141129i | ||||
\(687\) | − | 13.8197i | − | 0.527253i | ||||||
\(688\) | −17.0130 | −0.648615 | ||||||||
\(689\) | −8.78115 | + | 6.37988i | −0.334535 | + | 0.243054i | ||||
\(690\) | 1.93033 | − | 0.305735i | 0.0734865 | − | 0.0116391i | ||||
\(691\) | −13.6906 | + | 18.8435i | −0.520814 | + | 0.716839i | −0.985696 | − | 0.168534i | \(-0.946097\pi\) |
0.464882 | + | 0.885373i | \(0.346097\pi\) | |||||||
\(692\) | 30.4993 | − | 9.90983i | 1.15941 | − | 0.376715i | ||||
\(693\) | 8.94427 | + | 12.3107i | 0.339765 | + | 0.467646i | ||||
\(694\) | −37.8656 | − | 19.2935i | −1.43736 | − | 0.732370i | ||||
\(695\) | −0.0857567 | + | 0.263932i | −0.00325294 | + | 0.0100115i | ||||
\(696\) | 6.80995 | − | 1.07859i | 0.258131 | − | 0.0408839i | ||||
\(697\) | −5.00000 | − | 1.62460i | −0.189389 | − | 0.0615361i | ||||
\(698\) | 8.95277 | + | 17.5708i | 0.338867 | + | 0.665065i | ||||
\(699\) | −8.42075 | − | 6.11803i | −0.318502 | − | 0.231405i | ||||
\(700\) | −12.0902 | + | 37.2097i | −0.456965 | + | 1.40640i | ||||
\(701\) | −2.24671 | − | 6.91467i | −0.0848571 | − | 0.261163i | 0.899621 | − | 0.436672i | \(-0.143843\pi\) |
−0.984478 | + | 0.175509i | \(0.943843\pi\) | |||||||
\(702\) | 27.6544 | + | 4.38003i | 1.04375 | + | 0.165314i | ||||
\(703\) | 3.36771 | + | 10.3647i | 0.127016 | + | 0.390914i | ||||
\(704\) | 6.83282 | − | 9.40456i | 0.257521 | − | 0.354448i | ||||
\(705\) | −0.892609 | + | 1.22857i | −0.0336176 | + | 0.0462707i | ||||
\(706\) | 19.6130 | + | 3.10639i | 0.738144 | + | 0.116910i | ||||
\(707\) | − | 37.8885i | − | 1.42495i | ||||||
\(708\) | −5.04531 | −0.189614 | ||||||||
\(709\) | −23.8050 | − | 32.7647i | −0.894014 | − | 1.23050i | −0.972338 | − | 0.233576i | \(-0.924957\pi\) |
0.0783247 | − | 0.996928i | \(-0.475043\pi\) | |||||||
\(710\) | 3.41254 | − | 1.73877i | 0.128070 | − | 0.0652550i | ||||
\(711\) | −11.2007 | − | 34.4721i | −0.420058 | − | 1.29281i | ||||
\(712\) | 34.5811 | − | 34.5811i | 1.29598 | − | 1.29598i | ||||
\(713\) | 1.54508 | − | 17.0660i | 0.0578639 | − | 0.639127i | ||||
\(714\) | 21.1803 | − | 21.1803i | 0.792654 | − | 0.792654i | ||||
\(715\) | 4.25325 | − | 1.38197i | 0.159063 | − | 0.0516826i | ||||
\(716\) | −5.00000 | − | 1.62460i | −0.186859 | − | 0.0607141i | ||||
\(717\) | −15.5279 | + | 11.2817i | −0.579899 | + | 0.421321i | ||||
\(718\) | −19.7984 | − | 19.7984i | −0.738869 | − | 0.738869i | ||||
\(719\) | −5.15131 | −0.192111 | −0.0960557 | − | 0.995376i | \(-0.530623\pi\) | ||||
−0.0960557 | + | 0.995376i | \(0.530623\pi\) | |||||||
\(720\) | −4.94427 | + | 3.59222i | −0.184262 | + | 0.133874i | ||||
\(721\) | −3.11803 | − | 2.26538i | −0.116122 | − | 0.0843673i | ||||
\(722\) | 8.38081 | − | 1.32739i | 0.311902 | − | 0.0494004i | ||||
\(723\) | −2.12663 | + | 0.690983i | −0.0790901 | + | 0.0256979i | ||||
\(724\) | −4.97980 | + | 3.61803i | −0.185073 | + | 0.134463i | ||||
\(725\) | 14.7361 | − | 4.78804i | 0.547284 | − | 0.177823i | ||||
\(726\) | −4.14623 | − | 8.13744i | −0.153881 | − | 0.302009i | ||||
\(727\) | −4.49801 | + | 6.19098i | −0.166822 | + | 0.229611i | −0.884241 | − | 0.467031i | \(-0.845323\pi\) |
0.717419 | + | 0.696642i | \(0.245323\pi\) | |||||||
\(728\) | −53.1619 | + | 27.0873i | −1.97031 | + | 1.00392i | ||||
\(729\) | −0.781153 | + | 2.40414i | −0.0289316 | + | 0.0890423i | ||||
\(730\) | −0.160734 | − | 1.01484i | −0.00594904 | − | 0.0375608i | ||||
\(731\) | 27.8379 | + | 9.04508i | 1.02962 | + | 0.334545i | ||||
\(732\) | −4.47214 | − | 13.7638i | −0.165295 | − | 0.508725i | ||||
\(733\) | 16.9894 | − | 12.3435i | 0.627516 | − | 0.455917i | −0.228023 | − | 0.973656i | \(-0.573226\pi\) |
0.855539 | + | 0.517739i | \(0.173226\pi\) | |||||||
\(734\) | −5.14329 | − | 2.62064i | −0.189842 | − | 0.0967295i | ||||
\(735\) | −3.97574 | − | 2.88854i | −0.146647 | − | 0.106546i | ||||
\(736\) | 17.1957 | − | 2.72353i | 0.633840 | − | 0.100390i | ||||
\(737\) | −8.74265 | − | 12.0332i | −0.322039 | − | 0.443249i | ||||
\(738\) | 1.88854 | − | 1.88854i | 0.0695183 | − | 0.0695183i | ||||
\(739\) | 0.343027 | 0.0126184 | 0.00630922 | − | 0.999980i | \(-0.497992\pi\) | ||||
0.00630922 | + | 0.999980i | \(0.497992\pi\) | |||||||
\(740\) | −2.17963 | + | 1.58359i | −0.0801247 | + | 0.0582140i | ||||
\(741\) | 5.59017 | − | 17.2048i | 0.205360 | − | 0.632033i | ||||
\(742\) | −11.6343 | − | 5.92798i | −0.427109 | − | 0.217623i | ||||
\(743\) | 6.43288 | 0.236000 | 0.118000 | − | 0.993014i | \(-0.462352\pi\) | ||||
0.118000 | + | 0.993014i | \(0.462352\pi\) | |||||||
\(744\) | −4.25401 | − | 10.6214i | −0.155960 | − | 0.389399i | ||||
\(745\) | 6.70820 | 0.245770 | ||||||||
\(746\) | −15.6456 | − | 7.97182i | −0.572826 | − | 0.291869i | ||||
\(747\) | −4.91428 | + | 15.1246i | −0.179804 | + | 0.553381i | ||||
\(748\) | −16.1803 | + | 11.7557i | −0.591612 | + | 0.429831i | ||||
\(749\) | −58.6869 | −2.14437 | ||||||||
\(750\) | 4.31877 | − | 4.31877i | 0.157699 | − | 0.157699i | ||||
\(751\) | −9.75532 | − | 13.4271i | −0.355977 | − | 0.489960i | 0.593046 | − | 0.805169i | \(-0.297925\pi\) |
−0.949022 | + | 0.315209i | \(0.897925\pi\) | |||||||
\(752\) | −7.95148 | + | 10.9443i | −0.289961 | + | 0.399097i | ||||
\(753\) | 1.38197 | + | 1.00406i | 0.0503616 | + | 0.0365899i | ||||
\(754\) | 21.0536 | + | 10.7273i | 0.766726 | + | 0.390666i | ||||
\(755\) | 7.91872 | − | 5.75329i | 0.288192 | − | 0.209384i | ||||
\(756\) | 10.4086 | + | 32.0344i | 0.378558 | + | 1.16508i | ||||
\(757\) | −24.4721 | − | 7.95148i | −0.889455 | − | 0.289001i | −0.171577 | − | 0.985171i | \(-0.554886\pi\) |
−0.717878 | + | 0.696169i | \(0.754886\pi\) | |||||||
\(758\) | −6.15750 | − | 38.8769i | −0.223651 | − | 1.41207i | ||||
\(759\) | −1.00406 | + | 3.09017i | −0.0364450 | + | 0.112166i | ||||
\(760\) | 3.96802 | + | 7.78768i | 0.143935 | + | 0.282489i | ||||
\(761\) | −2.72542 | + | 3.75123i | −0.0987966 | + | 0.135982i | −0.855553 | − | 0.517715i | \(-0.826783\pi\) |
0.756757 | + | 0.653697i | \(0.226783\pi\) | |||||||
\(762\) | 1.85456 | + | 3.63978i | 0.0671836 | + | 0.131855i | ||||
\(763\) | −28.9277 | + | 9.39919i | −1.04725 | + | 0.340273i | ||||
\(764\) | −24.7984 | + | 18.0171i | −0.897174 | + | 0.651835i | ||||
\(765\) | 10.0000 | − | 3.24920i | 0.361551 | − | 0.117475i | ||||
\(766\) | −48.6905 | + | 7.71182i | −1.75926 | + | 0.278640i | ||||
\(767\) | −13.9883 | − | 10.1631i | −0.505089 | − | 0.366969i | ||||
\(768\) | 9.40456 | − | 6.83282i | 0.339358 | − | 0.246558i | ||||
\(769\) | −23.0902 | −0.832653 | −0.416326 | − | 0.909215i | \(-0.636683\pi\) | ||||
−0.416326 | + | 0.909215i | \(0.636683\pi\) | |||||||
\(770\) | 3.80423 | + | 3.80423i | 0.137095 | + | 0.137095i | ||||
\(771\) | 4.08174 | − | 2.96556i | 0.147000 | − | 0.106802i | ||||
\(772\) | −28.2542 | − | 9.18034i | −1.01689 | − | 0.330408i | ||||
\(773\) | 41.7320 | − | 13.5595i | 1.50100 | − | 0.487703i | 0.560688 | − | 0.828027i | \(-0.310537\pi\) |
0.940308 | + | 0.340324i | \(0.110537\pi\) | |||||||
\(774\) | −10.5146 | + | 10.5146i | −0.377940 | + | 0.377940i | ||||
\(775\) | −13.1760 | − | 22.0795i | −0.473297 | − | 0.793120i | ||||
\(776\) | 14.9443 | + | 14.9443i | 0.536468 | + | 0.536468i | ||||
\(777\) | 2.07295 | + | 6.37988i | 0.0743666 | + | 0.228877i | ||||
\(778\) | −12.0666 | + | 6.14822i | −0.432607 | + | 0.220424i | ||||
\(779\) | −2.24514 | − | 3.09017i | −0.0804405 | − | 0.110717i | ||||
\(780\) | 4.47214 | 0.160128 | ||||||||
\(781\) | 6.36737i | 0.227842i | ||||||||
\(782\) | −29.5847 | − | 4.68576i | −1.05795 | − | 0.167563i | ||||
\(783\) | 7.84070 | − | 10.7918i | 0.280204 | − | 0.385667i | ||||
\(784\) | −35.4164 | − | 25.7315i | −1.26487 | − | 0.918983i | ||||
\(785\) | −0.180340 | − | 0.555029i | −0.00643661 | − | 0.0198098i | ||||
\(786\) | 19.1338 | + | 3.03050i | 0.682481 | + | 0.108094i | ||||
\(787\) | 6.76340 | + | 20.8156i | 0.241089 | + | 0.741996i | 0.996255 | + | 0.0864623i | \(0.0275562\pi\) |
−0.755166 | + | 0.655534i | \(0.772444\pi\) | |||||||
\(788\) | −11.5187 | + | 35.4508i | −0.410336 | + | 1.26288i | ||||
\(789\) | −4.93769 | − | 3.58744i | −0.175787 | − | 0.127716i | ||||
\(790\) | −5.81787 | − | 11.4182i | −0.206990 | − | 0.406241i | ||||
\(791\) | −46.5815 | − | 15.1353i | −1.65625 | − | 0.538148i | ||||
\(792\) | −1.58943 | − | 10.0353i | −0.0564779 | − | 0.356587i | ||||
\(793\) | 15.3262 | − | 47.1693i | 0.544251 | − | 1.67503i | ||||
\(794\) | −15.1209 | − | 7.70447i | −0.536620 | − | 0.273422i | ||||
\(795\) | 0.575274 | + | 0.791796i | 0.0204028 | + | 0.0280821i | ||||
\(796\) | 29.2705 | − | 9.51057i | 1.03747 | − | 0.337093i | ||||
\(797\) | 20.0000 | − | 27.5276i | 0.708436 | − | 0.975079i | −0.291393 | − | 0.956603i | \(-0.594119\pi\) |
0.999829 | − | 0.0184755i | \(-0.00588128\pi\) | |||||||
\(798\) | 21.4946 | − | 3.40441i | 0.760900 | − | 0.120515i | ||||
\(799\) | 18.8294 | − | 13.6803i | 0.666135 | − | 0.483976i | ||||
\(800\) | 18.4721 | − | 18.4721i | 0.653089 | − | 0.653089i | ||||
\(801\) | − | 42.7445i | − | 1.51030i | ||||||
\(802\) | 19.4649 | + | 3.08294i | 0.687330 | + | 0.108862i | ||||
\(803\) | 1.62460 | + | 0.527864i | 0.0573308 | + | 0.0186279i | ||||
\(804\) | −4.59628 | − | 14.1459i | −0.162098 | − | 0.498887i | ||||
\(805\) | 8.05748i | 0.283989i | ||||||||
\(806\) | 9.60097 | − | 38.0174i | 0.338180 | − | 1.33910i | ||||
\(807\) | 20.5755i | 0.724291i | ||||||||
\(808\) | −11.4852 | + | 22.5409i | −0.404046 | + | 0.792985i | ||||
\(809\) | 45.8779 | + | 14.9066i | 1.61298 | + | 0.524089i | 0.970271 | − | 0.242020i | \(-0.0778101\pi\) |
0.642710 | + | 0.766110i | \(0.277810\pi\) | |||||||
\(810\) | −0.619089 | + | 3.90877i | −0.0217526 | + | 0.137340i | ||||
\(811\) | − | 7.36068i | − | 0.258468i | −0.991614 | − | 0.129234i | \(-0.958748\pi\) | ||
0.991614 | − | 0.129234i | \(-0.0412519\pi\) | |||||||
\(812\) | 28.4257i | 0.997546i | ||||||||
\(813\) | −5.59017 | + | 4.06150i | −0.196056 | + | 0.142443i | ||||
\(814\) | −0.700682 | − | 4.42393i | −0.0245589 | − | 0.155059i | ||||
\(815\) | −7.24518 | + | 9.97214i | −0.253788 | + | 0.349309i | ||||
\(816\) | −19.0211 | + | 6.18034i | −0.665873 | + | 0.216355i | ||||
\(817\) | 12.5000 | + | 17.2048i | 0.437320 | + | 0.601919i | ||||
\(818\) | −0.796824 | + | 1.56386i | −0.0278603 | + | 0.0546789i | ||||
\(819\) | −16.1150 | + | 49.5967i | −0.563102 | + | 1.73305i | ||||
\(820\) | 0.555029 | − | 0.763932i | 0.0193825 | − | 0.0266777i | ||||
\(821\) | −45.4508 | − | 14.7679i | −1.58625 | − | 0.515402i | −0.622590 | − | 0.782549i | \(-0.713919\pi\) |
−0.963656 | + | 0.267146i | \(0.913919\pi\) | |||||||
\(822\) | −0.822168 | + | 0.418915i | −0.0286764 | + | 0.0146113i | ||||
\(823\) | 25.7643 | + | 18.7188i | 0.898086 | + | 0.652498i | 0.937974 | − | 0.346706i | \(-0.112700\pi\) |
−0.0398873 | + | 0.999204i | \(0.512700\pi\) | |||||||
\(824\) | 1.16829 | + | 2.29291i | 0.0406994 | + | 0.0798771i | ||||
\(825\) | 1.50658 | + | 4.63677i | 0.0524523 | + | 0.161432i | ||||
\(826\) | 3.25392 | − | 20.5445i | 0.113218 | − | 0.714833i | ||||
\(827\) | 6.69015 | + | 20.5902i | 0.232639 | + | 0.715990i | 0.997426 | + | 0.0717065i | \(0.0228445\pi\) |
−0.764786 | + | 0.644284i | \(0.777156\pi\) | |||||||
\(828\) | 8.94427 | − | 12.3107i | 0.310835 | − | 0.427828i | ||||
\(829\) | −16.8328 | + | 23.1684i | −0.584628 | + | 0.804671i | −0.994193 | − | 0.107610i | \(-0.965680\pi\) |
0.409565 | + | 0.912281i | \(0.365680\pi\) | |||||||
\(830\) | −0.879560 | + | 5.55332i | −0.0305300 | + | 0.192759i | ||||
\(831\) | − | 3.61803i | − | 0.125508i | ||||||
\(832\) | 39.8384 | 1.38115 | ||||||||
\(833\) | 44.2705 | + | 60.9331i | 1.53388 | + | 2.11121i | ||||
\(834\) | −0.209458 | − | 0.411084i | −0.00725292 | − | 0.0142347i | ||||
\(835\) | −1.55909 | − | 4.79837i | −0.0539544 | − | 0.166055i | ||||
\(836\) | −14.5309 | −0.502560 | ||||||||
\(837\) | −20.3500 | − | 8.71078i | −0.703400 | − | 0.301089i | ||||
\(838\) | 2.18034 | + | 2.18034i | 0.0753186 | + | 0.0753186i | ||||
\(839\) | 4.75528 | − | 1.54508i | 0.164171 | − | 0.0533423i | −0.225779 | − | 0.974179i | \(-0.572493\pi\) |
0.389949 | + | 0.920836i | \(0.372493\pi\) | |||||||
\(840\) | 2.44246 | + | 4.79360i | 0.0842730 | + | 0.165395i | ||||
\(841\) | −14.3541 | + | 10.4289i | −0.494969 | + | 0.359616i | ||||
\(842\) | −21.5967 | + | 21.5967i | −0.744273 | + | 0.744273i | ||||
\(843\) | −6.64488 | −0.228862 | ||||||||
\(844\) | 34.6525 | − | 25.1765i | 1.19279 | − | 0.866611i | ||||
\(845\) | 5.89919 | + | 4.28601i | 0.202938 | + | 0.147443i | ||||
\(846\) | 1.84965 | + | 11.6782i | 0.0635922 | + | 0.401505i | ||||
\(847\) | 35.8096 | − | 11.6353i | 1.23043 | − | 0.399792i | ||||
\(848\) | 5.12461 | + | 7.05342i | 0.175980 | + | 0.242216i | ||||
\(849\) | 9.73607 | − | 3.16344i | 0.334141 | − | 0.108569i | ||||
\(850\) | −40.0463 | + | 20.4046i | −1.37358 | + | 0.699872i | ||||
\(851\) | 3.94298 | − | 5.42705i | 0.135164 | − | 0.186037i | ||||
\(852\) | −1.96763 | + | 6.05573i | −0.0674097 | + | 0.207466i | ||||
\(853\) | −13.4377 | + | 41.3570i | −0.460098 | + | 1.41604i | 0.404947 | + | 0.914340i | \(0.367290\pi\) |
−0.865044 | + | 0.501695i | \(0.832710\pi\) | |||||||
\(854\) | 58.9304 | − | 9.33366i | 2.01656 | − | 0.319391i | ||||
\(855\) | 7.26543 | + | 2.36068i | 0.248472 | + | 0.0807335i | ||||
\(856\) | 34.9144 | + | 17.7898i | 1.19335 | + | 0.608042i | ||||
\(857\) | −15.0344 | + | 10.9232i | −0.513567 | + | 0.373128i | −0.814175 | − | 0.580620i | \(-0.802810\pi\) |
0.300608 | + | 0.953748i | \(0.402810\pi\) | |||||||
\(858\) | −3.37540 | + | 6.62460i | −0.115234 | + | 0.226160i | ||||
\(859\) | −24.3112 | − | 17.6631i | −0.829487 | − | 0.602658i | 0.0899269 | − | 0.995948i | \(-0.471337\pi\) |
−0.919414 | + | 0.393291i | \(0.871337\pi\) | |||||||
\(860\) | −3.09017 | + | 4.25325i | −0.105374 | + | 0.145035i | ||||
\(861\) | −1.38197 | − | 1.90211i | −0.0470973 | − | 0.0648238i | ||||
\(862\) | 27.1246 | + | 27.1246i | 0.923868 | + | 0.923868i | ||||
\(863\) | 32.7194 | 1.11378 | 0.556891 | − | 0.830585i | \(-0.311994\pi\) | ||||
0.556891 | + | 0.830585i | \(0.311994\pi\) | |||||||
\(864\) | 3.51824 | − | 22.2133i | 0.119693 | − | 0.755711i | ||||
\(865\) | 3.06231 | − | 9.42481i | 0.104122 | − | 0.320453i | ||||
\(866\) | 14.5187 | − | 28.4945i | 0.493364 | − | 0.968282i | ||||
\(867\) | 22.0583 | 0.749140 | ||||||||
\(868\) | 45.9937 | − | 10.4721i | 1.56113 | − | 0.355447i | ||||
\(869\) | 21.3050 | 0.722721 | ||||||||
\(870\) | 0.967282 | − | 1.89840i | 0.0327939 | − | 0.0643617i | ||||
\(871\) | 15.7517 | − | 48.4787i | 0.533726 | − | 1.64264i | ||||
\(872\) | 20.0590 | + | 3.17704i | 0.679284 | + | 0.107588i | ||||
\(873\) | 18.4721 | 0.625187 | ||||||||
\(874\) | −15.3884 | − | 15.3884i | −0.520521 | − | 0.520521i | ||||
\(875\) | 14.8006 | + | 20.3713i | 0.500353 | + | 0.688676i | ||||
\(876\) | 1.38197 | + | 1.00406i | 0.0466923 | + | 0.0339239i | ||||
\(877\) | −17.4721 | − | 12.6942i | −0.589992 | − | 0.428654i | 0.252320 | − | 0.967644i | \(-0.418806\pi\) |
−0.842313 | + | 0.538989i | \(0.818806\pi\) | |||||||
\(878\) | −8.64964 | + | 16.9759i | −0.291911 | + | 0.572908i | ||||
\(879\) | 6.91467 | − | 5.02380i | 0.233226 | − | 0.169449i | ||||
\(880\) | −1.11006 | − | 3.41641i | −0.0374201 | − | 0.115167i | ||||
\(881\) | 4.30902 | + | 1.40008i | 0.145174 | + | 0.0471700i | 0.380703 | − | 0.924697i | \(-0.375682\pi\) |
−0.235528 | + | 0.971867i | \(0.575682\pi\) | |||||||
\(882\) | −37.7915 | + | 5.98559i | −1.27251 | + | 0.201545i | ||||
\(883\) | −11.1477 | + | 34.3090i | −0.375149 | + | 1.15459i | 0.568229 | + | 0.822871i | \(0.307629\pi\) |
−0.943378 | + | 0.331720i | \(0.892371\pi\) | |||||||
\(884\) | −65.1864 | − | 21.1803i | −2.19246 | − | 0.712372i | ||||
\(885\) | −0.916408 | + | 1.26133i | −0.0308047 | + | 0.0423991i | ||||
\(886\) | 39.2193 | − | 19.9832i | 1.31760 | − | 0.671350i | ||||
\(887\) | −53.3449 | + | 17.3328i | −1.79115 | + | 0.581979i | −0.999577 | − | 0.0290987i | \(-0.990736\pi\) |
−0.791571 | + | 0.611078i | \(0.790736\pi\) | |||||||
\(888\) | 0.700682 | − | 4.42393i | 0.0235133 | − | 0.148457i | ||||
\(889\) | −16.0172 | + | 5.20431i | −0.537200 | + | 0.174547i | ||||
\(890\) | −2.36411 | − | 14.9264i | −0.0792452 | − | 0.500335i | ||||
\(891\) | −5.32282 | − | 3.86726i | −0.178321 | − | 0.129558i | ||||
\(892\) | 10.8541 | + | 14.9394i | 0.363422 | + | 0.500208i | ||||
\(893\) | 16.9098 | 0.565866 | ||||||||
\(894\) | −7.88597 | + | 7.88597i | −0.263746 | + | 0.263746i | ||||
\(895\) | −1.31433 | + | 0.954915i | −0.0439331 | + | 0.0319193i | ||||
\(896\) | 21.7578 | + | 42.7021i | 0.726877 | + | 1.42658i | ||||
\(897\) | −10.5902 | + | 3.44095i | −0.353595 | + | 0.114890i | ||||
\(898\) | 36.3772 | + | 36.3772i | 1.21392 | + | 1.21392i | ||||
\(899\) | −14.0616 | − | 12.2984i | −0.468980 | − | 0.410174i | ||||
\(900\) | − | 22.8328i | − | 0.761094i | ||||||
\(901\) | −4.63525 | − | 14.2658i | −0.154423 | − | 0.475264i | ||||
\(902\) | 0.712701 | + | 1.39875i | 0.0237304 | + | 0.0465734i | ||||
\(903\) | 7.69421 | + | 10.5902i | 0.256047 | + | 0.352419i | ||||
\(904\) | 23.1246 | + | 23.1246i | 0.769113 | + | 0.769113i | ||||
\(905\) | 1.90211i | 0.0632284i | ||||||||
\(906\) | −2.54562 | + | 16.0724i | −0.0845726 | + | 0.533970i | ||||
\(907\) | 15.0579 | − | 20.7254i | 0.499989 | − | 0.688176i | −0.482202 | − | 0.876060i | \(-0.660163\pi\) |
0.982191 | + | 0.187884i | \(0.0601628\pi\) | |||||||
\(908\) | 2.90983 | + | 2.11412i | 0.0965661 | + | 0.0701594i | ||||
\(909\) | 6.83282 | + | 21.0292i | 0.226630 | + | 0.697496i | ||||
\(910\) | −2.88426 | + | 18.2105i | −0.0956123 | + | 0.603672i | ||||
\(911\) | −4.14725 | − | 12.7639i | −0.137405 | − | 0.422888i | 0.858552 | − | 0.512727i | \(-0.171365\pi\) |
−0.995956 | + | 0.0898391i | \(0.971365\pi\) | |||||||
\(912\) | −13.8197 | − | 4.49028i | −0.457615 | − | 0.148688i | ||||
\(913\) | −7.56231 | − | 5.49434i | −0.250276 | − | 0.181836i | ||||
\(914\) | 15.3789 | − | 7.83592i | 0.508688 | − | 0.259189i | ||||
\(915\) | −4.25325 | − | 1.38197i | −0.140608 | − | 0.0456864i | ||||
\(916\) | −30.7768 | − | 22.3607i | −1.01690 | − | 0.738818i | ||||
\(917\) | −24.6803 | + | 75.9583i | −0.815017 | + | 2.50836i | ||||
\(918\) | −17.5666 | + | 34.4765i | −0.579785 | + | 1.13789i | ||||
\(919\) | −17.3233 | − | 23.8435i | −0.571443 | − | 0.786523i | 0.421282 | − | 0.906930i | \(-0.361580\pi\) |
−0.992725 | + | 0.120406i | \(0.961580\pi\) | |||||||
\(920\) | 2.44246 | − | 4.79360i | 0.0805256 | − | 0.158040i | ||||
\(921\) | 13.3303 | − | 18.3476i | 0.439248 | − | 0.604574i | ||||
\(922\) | −8.99770 | − | 56.8092i | −0.296323 | − | 1.87091i | ||||
\(923\) | −17.6538 | + | 12.8262i | −0.581082 | + | 0.422181i | ||||
\(924\) | −8.94427 | −0.294245 | ||||||||
\(925\) | − | 10.0656i | − | 0.330955i | ||||||
\(926\) | 1.28587 | − | 8.11869i | 0.0422564 | − | 0.266797i | ||||
\(927\) | 2.13914 | + | 0.695048i | 0.0702585 | + | 0.0228284i | ||||
\(928\) | 8.61668 | − | 16.9112i | 0.282856 | − | 0.555137i | ||||
\(929\) | − | 6.11488i | − | 0.200623i | −0.994956 | − | 0.100311i | \(-0.968016\pi\) | ||
0.994956 | − | 0.100311i | \(-0.0319839\pi\) | |||||||
\(930\) | −3.42802 | − | 0.865718i | −0.112409 | − | 0.0283880i | ||||
\(931\) | 54.7214i | 1.79342i | ||||||||
\(932\) | −27.2501 | + | 8.85410i | −0.892607 | + | 0.290026i | ||||
\(933\) | 8.81966 | + | 2.86568i | 0.288743 | + | 0.0938182i | ||||
\(934\) | −35.4239 | − | 5.61059i | −1.15910 | − | 0.183584i | ||||
\(935\) | 6.18034i | 0.202119i | ||||||||
\(936\) | 24.6215 | − | 24.6215i | 0.804778 | − | 0.804778i | ||||
\(937\) | 15.8435 | − | 11.5109i | 0.517583 | − | 0.376046i | −0.298109 | − | 0.954532i | \(-0.596356\pi\) |
0.815693 | + | 0.578485i | \(0.196356\pi\) | |||||||
\(938\) | 60.5663 | − | 9.59276i | 1.97756 | − | 0.313215i | ||||
\(939\) | −3.48622 | + | 4.79837i | −0.113769 | + | 0.156589i | ||||
\(940\) | 1.29180 | + | 3.97574i | 0.0421337 | + | 0.129674i | ||||
\(941\) | 15.8541 | + | 21.8213i | 0.516829 | + | 0.711354i | 0.985052 | − | 0.172256i | \(-0.0551057\pi\) |
−0.468223 | + | 0.883610i | \(0.655106\pi\) | |||||||
\(942\) | 0.864478 | + | 0.440474i | 0.0281662 | + | 0.0143514i | ||||
\(943\) | −0.726543 | + | 2.23607i | −0.0236595 | + | 0.0728164i | ||||
\(944\) | −8.16348 | + | 11.2361i | −0.265699 | + | 0.365703i | ||||
\(945\) | 9.89919 | + | 3.21644i | 0.322021 | + | 0.104631i | ||||
\(946\) | −3.96802 | − | 7.78768i | −0.129012 | − | 0.253199i | ||||
\(947\) | 9.40456 | + | 6.83282i | 0.305607 | + | 0.222037i | 0.730009 | − | 0.683437i | \(-0.239516\pi\) |
−0.424402 | + | 0.905474i | \(0.639516\pi\) | |||||||
\(948\) | 20.2622 | + | 6.58359i | 0.658086 | + | 0.213825i | ||||
\(949\) | 1.80902 | + | 5.56758i | 0.0587232 | + | 0.180731i | ||||
\(950\) | −32.2524 | − | 5.10828i | −1.04641 | − | 0.165734i | ||||
\(951\) | −2.84066 | − | 8.74265i | −0.0921146 | − | 0.283500i | ||||
\(952\) | −12.8988 | − | 81.4398i | −0.418053 | − | 2.63948i | ||||
\(953\) | −9.73607 | + | 13.4005i | −0.315382 | + | 0.434086i | −0.937050 | − | 0.349194i | \(-0.886455\pi\) |
0.621668 | + | 0.783281i | \(0.286455\pi\) | |||||||
\(954\) | 7.52644 | + | 1.19207i | 0.243677 | + | 0.0385947i | ||||
\(955\) | 9.47214i | 0.306511i | ||||||||
\(956\) | 52.8352i | 1.70881i | ||||||||
\(957\) | 2.08204 | + | 2.86568i | 0.0673028 | + | 0.0926343i | ||||
\(958\) | −22.4541 | + | 11.4409i | −0.725458 | + | 0.369640i | ||||
\(959\) | −1.17557 | − | 3.61803i | −0.0379612 | − | 0.116832i | ||||
\(960\) | − | 3.59222i | − | 0.115939i | ||||||
\(961\) | −14.7188 | + | 27.2829i | −0.474802 | + | 0.880093i | ||||
\(962\) | 10.8541 | − | 10.8541i | 0.349950 | − | 0.349950i | ||||
\(963\) | 32.5729 | − | 10.5836i | 1.04965 | − | 0.341051i | ||||
\(964\) | −1.90211 | + | 5.85410i | −0.0612629 | + | 0.188548i | ||||
\(965\) | −7.42705 | + | 5.39607i | −0.239085 | + | 0.173706i | ||||
\(966\) | −9.47214 | − | 9.47214i | −0.304761 | − | 0.304761i | ||||
\(967\) | 18.0826 | 0.581497 | 0.290748 | − | 0.956800i | \(-0.406096\pi\) | ||||
0.290748 | + | 0.956800i | \(0.406096\pi\) | |||||||
\(968\) | −24.8311 | − | 3.93286i | −0.798101 | − | 0.126407i | ||||
\(969\) | 20.2254 | + | 14.6946i | 0.649734 | + | 0.472060i | ||||
\(970\) | 6.45048 | − | 1.02166i | 0.207112 | − | 0.0328034i | ||||
\(971\) | 40.4792 | − | 13.1525i | 1.29904 | − | 0.422083i | 0.423791 | − | 0.905760i | \(-0.360699\pi\) |
0.875247 | + | 0.483677i | \(0.160699\pi\) | |||||||
\(972\) | −17.8885 | − | 24.6215i | −0.573775 | − | 0.789734i | ||||
\(973\) | 1.80902 | − | 0.587785i | 0.0579944 | − | 0.0188435i | ||||
\(974\) | −4.35040 | − | 8.53814i | −0.139396 | − | 0.273580i | ||||
\(975\) | −9.82084 | + | 13.5172i | −0.314518 | + | 0.432898i | ||||
\(976\) | −37.8885 | − | 12.3107i | −1.21278 | − | 0.394057i | ||||
\(977\) | 2.47214 | − | 7.60845i | 0.0790906 | − | 0.243416i | −0.903691 | − | 0.428184i | \(-0.859153\pi\) |
0.982782 | + | 0.184768i | \(0.0591534\pi\) | |||||||
\(978\) | −3.20573 | − | 20.2402i | −0.102508 | − | 0.647209i | ||||
\(979\) | 23.8949 | + | 7.76393i | 0.763685 | + | 0.248136i | ||||
\(980\) | −12.8658 | + | 4.18034i | −0.410982 | + | 0.133536i | ||||
\(981\) | 14.3607 | − | 10.4336i | 0.458501 | − | 0.333121i | ||||
\(982\) | 41.7437 | + | 21.2695i | 1.33209 | + | 0.678736i | ||||
\(983\) | 25.1235 | + | 18.2533i | 0.801315 | + | 0.582190i | 0.911300 | − | 0.411744i | \(-0.135080\pi\) |
−0.109985 | + | 0.993933i | \(0.535080\pi\) | |||||||
\(984\) | 0.245580 | + | 1.55053i | 0.00782881 | + | 0.0494291i | ||||
\(985\) | 6.77051 | + | 9.31881i | 0.215726 | + | 0.296922i | ||||
\(986\) | −23.0902 | + | 23.0902i | −0.735341 | + | 0.735341i | ||||
\(987\) | 10.4086 | 0.331310 | ||||||||
\(988\) | −29.2705 | − | 40.2874i | −0.931219 | − | 1.28171i | ||||
\(989\) | 4.04508 | − | 12.4495i | 0.128626 | − | 0.395871i | ||||
\(990\) | −2.79751 | − | 1.42540i | −0.0889107 | − | 0.0453023i | ||||
\(991\) | 20.9232 | 0.664649 | 0.332324 | − | 0.943165i | \(-0.392167\pi\) | ||||
0.332324 | + | 0.943165i | \(0.392167\pi\) | |||||||
\(992\) | −30.5373 | − | 7.71193i | −0.969560 | − | 0.244854i | ||||
\(993\) | −20.9787 | −0.665739 | ||||||||
\(994\) | −23.3899 | − | 11.9177i | −0.741882 | − | 0.378008i | ||||
\(995\) | 2.93893 | − | 9.04508i | 0.0931702 | − | 0.286748i | ||||
\(996\) | −5.49434 | − | 7.56231i | −0.174095 | − | 0.239621i | ||||
\(997\) | −48.5279 | −1.53689 | −0.768446 | − | 0.639914i | \(-0.778970\pi\) | ||||
−0.768446 | + | 0.639914i | \(0.778970\pi\) | |||||||
\(998\) | 3.01217 | − | 3.01217i | 0.0953486 | − | 0.0953486i | ||||
\(999\) | −5.09353 | − | 7.01064i | −0.161152 | − | 0.221807i |
(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 | 124.2.j.a.27.2 | yes | 8 | |
4.3 | odd | 2 | inner | 124.2.j.a.27.1 | yes | 8 | |
31.23 | odd | 10 | inner | 124.2.j.a.23.1 | ✓ | 8 | |
124.23 | even | 10 | inner | 124.2.j.a.23.2 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.2.j.a.23.1 | ✓ | 8 | 31.23 | odd | 10 | inner | |
124.2.j.a.23.2 | yes | 8 | 124.23 | even | 10 | inner | |
124.2.j.a.27.1 | yes | 8 | 4.3 | odd | 2 | inner | |
124.2.j.a.27.2 | yes | 8 | 1.1 | even | 1 | trivial |