Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(139,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.be (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 139.13 | ||
Character | \(\chi\) | \(=\) | 504.139 |
Dual form | 504.2.be.a.475.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28821 | + | 0.583540i | −0.910901 | + | 0.412625i | ||||
\(3\) | −0.476817 | + | 1.66513i | −0.275290 | + | 0.961361i | ||||
\(4\) | 1.31896 | − | 1.50344i | 0.659482 | − | 0.751721i | ||||
\(5\) | −0.852648 | + | 1.47683i | −0.381316 | + | 0.660458i | −0.991251 | − | 0.131993i | \(-0.957862\pi\) |
0.609935 | + | 0.792451i | \(0.291196\pi\) | |||||||
\(6\) | −0.357427 | − | 2.42327i | −0.145919 | − | 0.989297i | ||||
\(7\) | −1.56588 | + | 2.13261i | −0.591848 | + | 0.806050i | ||||
\(8\) | −0.821782 | + | 2.70641i | −0.290544 | + | 0.956862i | ||||
\(9\) | −2.54529 | − | 1.58792i | −0.848430 | − | 0.529307i | ||||
\(10\) | 0.236600 | − | 2.40002i | 0.0748195 | − | 0.758952i | ||||
\(11\) | −1.16612 | − | 2.01978i | −0.351598 | − | 0.608986i | 0.634932 | − | 0.772568i | \(-0.281028\pi\) |
−0.986530 | + | 0.163583i | \(0.947695\pi\) | |||||||
\(12\) | 1.87452 | + | 2.91311i | 0.541126 | + | 0.840942i | ||||
\(13\) | 0.0781912 | − | 0.135431i | 0.0216863 | − | 0.0375618i | −0.854979 | − | 0.518663i | \(-0.826430\pi\) |
0.876665 | + | 0.481102i | \(0.159763\pi\) | |||||||
\(14\) | 0.772723 | − | 3.66100i | 0.206519 | − | 0.978443i | ||||
\(15\) | −2.05255 | − | 2.12394i | −0.529966 | − | 0.548400i | ||||
\(16\) | −0.520672 | − | 3.96597i | −0.130168 | − | 0.991492i | ||||
\(17\) | 7.04930i | 1.70971i | 0.518870 | + | 0.854853i | \(0.326353\pi\) | ||||
−0.518870 | + | 0.854853i | \(0.673647\pi\) | |||||||
\(18\) | 4.20548 | + | 0.560296i | 0.991241 | + | 0.132063i | ||||
\(19\) | − | 6.97995i | − | 1.60131i | −0.599125 | − | 0.800656i | \(-0.704485\pi\) | ||
0.599125 | − | 0.800656i | \(-0.295515\pi\) | |||||||
\(20\) | 1.09571 | + | 3.22979i | 0.245009 | + | 0.722203i | ||||
\(21\) | −2.80442 | − | 3.62426i | −0.611975 | − | 0.790877i | ||||
\(22\) | 2.68082 | + | 1.92142i | 0.571554 | + | 0.409648i | ||||
\(23\) | −3.56862 | − | 2.06034i | −0.744108 | − | 0.429611i | 0.0794529 | − | 0.996839i | \(-0.474683\pi\) |
−0.823561 | + | 0.567228i | \(0.808016\pi\) | |||||||
\(24\) | −4.11468 | − | 2.65884i | −0.839906 | − | 0.542733i | ||||
\(25\) | 1.04598 | + | 1.81170i | 0.209197 | + | 0.362340i | ||||
\(26\) | −0.0216971 | + | 0.220091i | −0.00425516 | + | 0.0431634i | ||||
\(27\) | 3.85773 | − | 3.48108i | 0.742420 | − | 0.669935i | ||||
\(28\) | 1.14091 | + | 5.16704i | 0.215611 | + | 0.976479i | ||||
\(29\) | −4.95266 | + | 2.85942i | −0.919685 | + | 0.530981i | −0.883535 | − | 0.468366i | \(-0.844843\pi\) |
−0.0361507 | + | 0.999346i | \(0.511510\pi\) | |||||||
\(30\) | 3.88352 | + | 1.53834i | 0.709030 | + | 0.280861i | ||||
\(31\) | −0.0466015 | + | 0.0807162i | −0.00836988 | + | 0.0144971i | −0.870180 | − | 0.492734i | \(-0.835998\pi\) |
0.861810 | + | 0.507231i | \(0.169331\pi\) | |||||||
\(32\) | 2.98503 | + | 4.80516i | 0.527684 | + | 0.849441i | ||||
\(33\) | 3.91921 | − | 0.978671i | 0.682247 | − | 0.170365i | ||||
\(34\) | −4.11354 | − | 9.08097i | −0.705467 | − | 1.55737i | ||||
\(35\) | −1.81435 | − | 4.13090i | −0.306681 | − | 0.698250i | ||||
\(36\) | −5.74449 | + | 1.73229i | −0.957415 | + | 0.288714i | ||||
\(37\) | − | 7.90460i | − | 1.29951i | −0.760145 | − | 0.649754i | \(-0.774872\pi\) | ||
0.760145 | − | 0.649754i | \(-0.225128\pi\) | |||||||
\(38\) | 4.07308 | + | 8.99164i | 0.660741 | + | 1.45864i | ||||
\(39\) | 0.188227 | + | 0.194774i | 0.0301404 | + | 0.0311888i | ||||
\(40\) | −3.29622 | − | 3.52125i | −0.521178 | − | 0.556758i | ||||
\(41\) | 1.78316 | + | 1.02951i | 0.278482 | + | 0.160782i | 0.632736 | − | 0.774367i | \(-0.281932\pi\) |
−0.354254 | + | 0.935149i | \(0.615265\pi\) | |||||||
\(42\) | 5.72757 | + | 3.03231i | 0.883784 | + | 0.467895i | ||||
\(43\) | −0.643325 | − | 1.11427i | −0.0981061 | − | 0.169925i | 0.812795 | − | 0.582550i | \(-0.197945\pi\) |
−0.910901 | + | 0.412626i | \(0.864612\pi\) | |||||||
\(44\) | −4.57468 | − | 0.910820i | −0.689660 | − | 0.137311i | ||||
\(45\) | 4.51532 | − | 2.40502i | 0.673105 | − | 0.358519i | ||||
\(46\) | 5.79942 | + | 0.571721i | 0.855077 | + | 0.0842957i | ||||
\(47\) | −1.39077 | − | 2.40888i | −0.202864 | − | 0.351372i | 0.746586 | − | 0.665289i | \(-0.231692\pi\) |
−0.949450 | + | 0.313918i | \(0.898358\pi\) | |||||||
\(48\) | 6.85210 | + | 1.02406i | 0.989016 | + | 0.147810i | ||||
\(49\) | −2.09602 | − | 6.67882i | −0.299432 | − | 0.954118i | ||||
\(50\) | −2.40464 | − | 1.72347i | −0.340068 | − | 0.243736i | ||||
\(51\) | −11.7380 | − | 3.36123i | −1.64364 | − | 0.470666i | ||||
\(52\) | −0.100481 | − | 0.296184i | −0.0139343 | − | 0.0410734i | ||||
\(53\) | − | 8.51500i | − | 1.16963i | −0.811168 | − | 0.584813i | \(-0.801168\pi\) | ||
0.811168 | − | 0.584813i | \(-0.198832\pi\) | |||||||
\(54\) | −2.93821 | + | 6.73550i | −0.399840 | + | 0.916585i | ||||
\(55\) | 3.97715 | 0.536279 | ||||||||
\(56\) | −4.48490 | − | 5.99046i | −0.599320 | − | 0.800509i | ||||
\(57\) | 11.6225 | + | 3.32816i | 1.53944 | + | 0.440826i | ||||
\(58\) | 4.71147 | − | 6.57360i | 0.618647 | − | 0.863156i | ||||
\(59\) | −0.873762 | − | 0.504467i | −0.113754 | − | 0.0656760i | 0.442043 | − | 0.896994i | \(-0.354254\pi\) |
−0.555798 | + | 0.831318i | \(0.687587\pi\) | |||||||
\(60\) | −5.90046 | + | 0.284485i | −0.761746 | + | 0.0367269i | ||||
\(61\) | 2.32246 | + | 4.02262i | 0.297361 | + | 0.515044i | 0.975531 | − | 0.219861i | \(-0.0705602\pi\) |
−0.678170 | + | 0.734905i | \(0.737227\pi\) | |||||||
\(62\) | 0.0129314 | − | 0.131173i | 0.00164229 | − | 0.0166590i | ||||
\(63\) | 7.37204 | − | 2.94161i | 0.928790 | − | 0.370608i | ||||
\(64\) | −6.64935 | − | 4.44817i | −0.831168 | − | 0.556021i | ||||
\(65\) | 0.133339 | + | 0.230950i | 0.0165387 | + | 0.0286458i | ||||
\(66\) | −4.47767 | + | 3.54775i | −0.551163 | + | 0.436697i | ||||
\(67\) | −2.78982 | + | 4.83211i | −0.340831 | + | 0.590337i | −0.984587 | − | 0.174894i | \(-0.944042\pi\) |
0.643756 | + | 0.765231i | \(0.277375\pi\) | |||||||
\(68\) | 10.5982 | + | 9.29777i | 1.28522 | + | 1.12752i | ||||
\(69\) | 5.13231 | − | 4.95979i | 0.617857 | − | 0.597089i | ||||
\(70\) | 4.74781 | + | 4.26272i | 0.567471 | + | 0.509492i | ||||
\(71\) | − | 12.3754i | − | 1.46869i | −0.678776 | − | 0.734346i | \(-0.737489\pi\) | ||
0.678776 | − | 0.734346i | \(-0.262511\pi\) | |||||||
\(72\) | 6.38925 | − | 5.58368i | 0.752980 | − | 0.658043i | ||||
\(73\) | − | 0.0440841i | − | 0.00515966i | −0.999997 | − | 0.00257983i | \(-0.999179\pi\) | ||
0.999997 | − | 0.00257983i | \(-0.000821186\pi\) | |||||||
\(74\) | 4.61265 | + | 10.1828i | 0.536209 | + | 1.18372i | ||||
\(75\) | −3.51545 | + | 0.877847i | −0.405929 | + | 0.101365i | ||||
\(76\) | −10.4940 | − | 9.20630i | −1.20374 | − | 1.05604i | ||||
\(77\) | 6.13340 | + | 0.675860i | 0.698965 | + | 0.0770214i | ||||
\(78\) | −0.356134 | − | 0.141072i | −0.0403242 | − | 0.0159732i | ||||
\(79\) | −10.4431 | + | 6.02933i | −1.17494 | + | 0.678352i | −0.954839 | − | 0.297125i | \(-0.903972\pi\) |
−0.220102 | + | 0.975477i | \(0.570639\pi\) | |||||||
\(80\) | 6.30101 | + | 2.61263i | 0.704474 | + | 0.292101i | ||||
\(81\) | 3.95701 | + | 8.08344i | 0.439668 | + | 0.898160i | ||||
\(82\) | −2.89784 | − | 0.285676i | −0.320013 | − | 0.0315477i | ||||
\(83\) | −7.66324 | + | 4.42437i | −0.841150 | + | 0.485638i | −0.857655 | − | 0.514226i | \(-0.828079\pi\) |
0.0165050 | + | 0.999864i | \(0.494746\pi\) | |||||||
\(84\) | −9.14778 | − | 0.563978i | −0.998105 | − | 0.0615350i | ||||
\(85\) | −10.4106 | − | 6.01057i | −1.12919 | − | 0.651938i | ||||
\(86\) | 1.47896 | + | 1.06001i | 0.159480 | + | 0.114304i | ||||
\(87\) | −2.39978 | − | 9.61022i | −0.257283 | − | 1.03032i | ||||
\(88\) | 6.42465 | − | 1.49618i | 0.684870 | − | 0.159494i | ||||
\(89\) | 10.5874i | 1.12226i | 0.827728 | + | 0.561130i | \(0.189633\pi\) | ||||
−0.827728 | + | 0.561130i | \(0.810367\pi\) | |||||||
\(90\) | −4.41325 | + | 5.73304i | −0.465198 | + | 0.604316i | ||||
\(91\) | 0.166383 | + | 0.378820i | 0.0174417 | + | 0.0397111i | ||||
\(92\) | −7.80448 | + | 2.64769i | −0.813673 | + | 0.276041i | ||||
\(93\) | −0.112182 | − | 0.116084i | −0.0116328 | − | 0.0120374i | ||||
\(94\) | 3.19728 | + | 2.29157i | 0.329774 | + | 0.236358i | ||||
\(95\) | 10.3082 | + | 5.95144i | 1.05760 | + | 0.610605i | ||||
\(96\) | −9.42452 | + | 2.67927i | −0.961886 | + | 0.273452i | ||||
\(97\) | −14.8073 | + | 8.54901i | −1.50346 | + | 0.868020i | −0.503463 | + | 0.864017i | \(0.667941\pi\) |
−0.999992 | + | 0.00400382i | \(0.998726\pi\) | |||||||
\(98\) | 6.59747 | + | 7.38060i | 0.666446 | + | 0.745554i | ||||
\(99\) | −0.239136 | + | 6.99262i | −0.0240340 | + | 0.702785i | ||||
\(100\) | 4.10340 | + | 0.816987i | 0.410340 | + | 0.0816987i | ||||
\(101\) | 0.125401 | + | 0.217200i | 0.0124778 | + | 0.0216122i | 0.872197 | − | 0.489155i | \(-0.162695\pi\) |
−0.859719 | + | 0.510767i | \(0.829361\pi\) | |||||||
\(102\) | 17.0824 | − | 2.51961i | 1.69141 | − | 0.249479i | ||||
\(103\) | −6.28035 | + | 10.8779i | −0.618821 | + | 1.07183i | 0.370880 | + | 0.928681i | \(0.379056\pi\) |
−0.989701 | + | 0.143148i | \(0.954277\pi\) | |||||||
\(104\) | 0.302276 | + | 0.322912i | 0.0296406 | + | 0.0316642i | ||||
\(105\) | 7.74359 | − | 1.05144i | 0.755697 | − | 0.102610i | ||||
\(106\) | 4.96884 | + | 10.9691i | 0.482616 | + | 1.06541i | ||||
\(107\) | −7.30166 | −0.705878 | −0.352939 | − | 0.935646i | \(-0.614818\pi\) | ||||
−0.352939 | + | 0.935646i | \(0.614818\pi\) | |||||||
\(108\) | −0.145403 | − | 10.3913i | −0.0139914 | − | 0.999902i | ||||
\(109\) | 16.6158i | 1.59151i | 0.605620 | + | 0.795754i | \(0.292925\pi\) | ||||
−0.605620 | + | 0.795754i | \(0.707075\pi\) | |||||||
\(110\) | −5.12340 | + | 2.32083i | −0.488497 | + | 0.221282i | ||||
\(111\) | 13.1622 | + | 3.76905i | 1.24930 | + | 0.357742i | ||||
\(112\) | 9.27316 | + | 5.09985i | 0.876231 | + | 0.481891i | ||||
\(113\) | −1.52197 | + | 2.63613i | −0.143175 | + | 0.247986i | −0.928691 | − | 0.370856i | \(-0.879064\pi\) |
0.785516 | + | 0.618842i | \(0.212398\pi\) | |||||||
\(114\) | −16.9143 | + | 2.49482i | −1.58417 | + | 0.233662i | ||||
\(115\) | 6.08555 | − | 3.51349i | 0.567480 | − | 0.327635i | ||||
\(116\) | −2.23341 | + | 11.2175i | −0.207366 | + | 1.04152i | ||||
\(117\) | −0.414073 | + | 0.220550i | −0.0382811 | + | 0.0203899i | ||||
\(118\) | 1.41996 | + | 0.139984i | 0.130718 | + | 0.0128866i | ||||
\(119\) | −15.0334 | − | 11.0384i | −1.37811 | − | 1.01189i | ||||
\(120\) | 7.43502 | − | 3.80963i | 0.678721 | − | 0.347770i | ||||
\(121\) | 2.78033 | − | 4.81568i | 0.252758 | − | 0.437789i | ||||
\(122\) | −5.33918 | − | 3.82673i | −0.483386 | − | 0.346456i | ||||
\(123\) | −2.56450 | + | 2.47830i | −0.231233 | + | 0.223460i | ||||
\(124\) | 0.0598864 | + | 0.176524i | 0.00537796 | + | 0.0158524i | ||||
\(125\) | −12.0939 | −1.08171 | ||||||||
\(126\) | −7.78018 | + | 8.09128i | −0.693114 | + | 0.720828i | ||||
\(127\) | − | 1.67707i | − | 0.148816i | −0.997228 | − | 0.0744080i | \(-0.976293\pi\) | ||
0.997228 | − | 0.0744080i | \(-0.0237067\pi\) | |||||||
\(128\) | 11.1614 | + | 1.85001i | 0.986540 | + | 0.163519i | ||||
\(129\) | 2.16215 | − | 0.539914i | 0.190367 | − | 0.0475367i | ||||
\(130\) | −0.306537 | − | 0.219703i | −0.0268851 | − | 0.0192692i | ||||
\(131\) | −9.30712 | − | 5.37347i | −0.813167 | − | 0.469482i | 0.0348874 | − | 0.999391i | \(-0.488893\pi\) |
−0.848054 | + | 0.529909i | \(0.822226\pi\) | |||||||
\(132\) | 3.69792 | − | 7.18313i | 0.321862 | − | 0.625211i | ||||
\(133\) | 14.8855 | + | 10.9298i | 1.29074 | + | 0.947733i | ||||
\(134\) | 0.774143 | − | 7.85274i | 0.0668758 | − | 0.678373i | ||||
\(135\) | 1.85168 | + | 8.66534i | 0.159367 | + | 0.745794i | ||||
\(136\) | −19.0783 | − | 5.79299i | −1.63595 | − | 0.496745i | ||||
\(137\) | 3.32113 | + | 5.75236i | 0.283743 | + | 0.491457i | 0.972304 | − | 0.233721i | \(-0.0750904\pi\) |
−0.688560 | + | 0.725179i | \(0.741757\pi\) | |||||||
\(138\) | −3.71725 | + | 9.38415i | −0.316433 | + | 0.798832i | ||||
\(139\) | 15.1113 | + | 8.72452i | 1.28172 | + | 0.740004i | 0.977163 | − | 0.212489i | \(-0.0681570\pi\) |
0.304561 | + | 0.952493i | \(0.401490\pi\) | |||||||
\(140\) | −8.60363 | − | 2.72074i | −0.727139 | − | 0.229944i | ||||
\(141\) | 4.67423 | − | 1.16721i | 0.393642 | − | 0.0982967i | ||||
\(142\) | 7.22154 | + | 15.9421i | 0.606018 | + | 1.33783i | ||||
\(143\) | −0.364721 | −0.0304995 | ||||||||
\(144\) | −4.97238 | + | 10.9213i | −0.414365 | + | 0.910111i | ||||
\(145\) | − | 9.75230i | − | 0.809885i | ||||||
\(146\) | 0.0257248 | + | 0.0567896i | 0.00212900 | + | 0.00469994i | ||||
\(147\) | 12.1205 | − | 0.305568i | 0.999682 | − | 0.0252028i | ||||
\(148\) | −11.8841 | − | 10.4259i | −0.976867 | − | 0.857002i | ||||
\(149\) | 10.4500 | + | 6.03333i | 0.856100 | + | 0.494270i | 0.862704 | − | 0.505709i | \(-0.168769\pi\) |
−0.00660430 | + | 0.999978i | \(0.502102\pi\) | |||||||
\(150\) | 4.01637 | − | 3.18225i | 0.327936 | − | 0.259830i | ||||
\(151\) | 14.4824 | − | 8.36144i | 1.17856 | − | 0.680444i | 0.222882 | − | 0.974845i | \(-0.428454\pi\) |
0.955682 | + | 0.294401i | \(0.0951202\pi\) | |||||||
\(152\) | 18.8906 | + | 5.73600i | 1.53223 | + | 0.465251i | ||||
\(153\) | 11.1937 | − | 17.9425i | 0.904960 | − | 1.45057i | ||||
\(154\) | −8.29548 | + | 2.70843i | −0.668469 | + | 0.218251i | ||||
\(155\) | −0.0794693 | − | 0.137645i | −0.00638313 | − | 0.0110559i | ||||
\(156\) | 0.541096 | − | 0.0260884i | 0.0433223 | − | 0.00208875i | ||||
\(157\) | −9.11409 | + | 15.7861i | −0.727384 | + | 1.25987i | 0.230602 | + | 0.973048i | \(0.425931\pi\) |
−0.957985 | + | 0.286817i | \(0.907403\pi\) | |||||||
\(158\) | 9.93454 | − | 13.8610i | 0.790350 | − | 1.10272i | ||||
\(159\) | 14.1785 | + | 4.06010i | 1.12443 | + | 0.321987i | ||||
\(160\) | −9.64158 | + | 0.311275i | −0.762234 | + | 0.0246084i | ||||
\(161\) | 9.98194 | − | 4.38420i | 0.786687 | − | 0.345524i | ||||
\(162\) | −9.81447 | − | 8.10409i | −0.771097 | − | 0.636717i | ||||
\(163\) | −12.4195 | −0.972772 | −0.486386 | − | 0.873744i | \(-0.661685\pi\) | ||||
−0.486386 | + | 0.873744i | \(0.661685\pi\) | |||||||
\(164\) | 3.89972 | − | 1.32299i | 0.304517 | − | 0.103308i | ||||
\(165\) | −1.89637 | + | 6.62246i | −0.147633 | + | 0.515558i | ||||
\(166\) | 7.29006 | − | 10.1713i | 0.565818 | − | 0.789448i | ||||
\(167\) | −10.5236 | + | 18.2274i | −0.814341 | + | 1.41048i | 0.0954600 | + | 0.995433i | \(0.469568\pi\) |
−0.909800 | + | 0.415046i | \(0.863766\pi\) | |||||||
\(168\) | 12.1134 | − | 4.61157i | 0.934566 | − | 0.355790i | ||||
\(169\) | 6.48777 | + | 11.2372i | 0.499059 | + | 0.864396i | ||||
\(170\) | 16.9184 | + | 1.66786i | 1.29759 | + | 0.127919i | ||||
\(171\) | −11.0836 | + | 17.7660i | −0.847586 | + | 1.35860i | ||||
\(172\) | −2.52376 | − | 0.502482i | −0.192435 | − | 0.0383139i | ||||
\(173\) | −11.2627 | − | 19.5075i | −0.856286 | − | 1.48313i | −0.875447 | − | 0.483315i | \(-0.839433\pi\) |
0.0191605 | − | 0.999816i | \(-0.493901\pi\) | |||||||
\(174\) | 8.69936 | + | 10.9796i | 0.659497 | + | 0.832361i | ||||
\(175\) | −5.50153 | − | 0.606233i | −0.415876 | − | 0.0458269i | ||||
\(176\) | −7.40320 | + | 5.67643i | −0.558038 | + | 0.427877i | ||||
\(177\) | 1.25663 | − | 1.21439i | 0.0944538 | − | 0.0912789i | ||||
\(178\) | −6.17815 | − | 13.6387i | −0.463072 | − | 1.02227i | ||||
\(179\) | −5.77555 | −0.431685 | −0.215842 | − | 0.976428i | \(-0.569250\pi\) | ||||
−0.215842 | + | 0.976428i | \(0.569250\pi\) | |||||||
\(180\) | 2.33974 | − | 9.96066i | 0.174394 | − | 0.742424i | ||||
\(181\) | −11.0397 | −0.820572 | −0.410286 | − | 0.911957i | \(-0.634571\pi\) | ||||
−0.410286 | + | 0.911957i | \(0.634571\pi\) | |||||||
\(182\) | −0.435393 | − | 0.390908i | −0.0322734 | − | 0.0289760i | ||||
\(183\) | −7.80557 | + | 1.94914i | −0.577004 | + | 0.144084i | ||||
\(184\) | 8.50876 | − | 7.96500i | 0.627274 | − | 0.587188i | ||||
\(185\) | 11.6737 | + | 6.73984i | 0.858270 | + | 0.495523i | ||||
\(186\) | 0.212254 | + | 0.0840780i | 0.0155632 | + | 0.00616490i | ||||
\(187\) | 14.2380 | − | 8.22032i | 1.04119 | − | 0.601129i | ||||
\(188\) | −5.45599 | − | 1.08629i | −0.397919 | − | 0.0792256i | ||||
\(189\) | 1.38303 | + | 13.6780i | 0.100601 | + | 0.994927i | ||||
\(190\) | −16.7520 | − | 1.65146i | −1.21532 | − | 0.119809i | ||||
\(191\) | −6.92192 | + | 3.99637i | −0.500852 | + | 0.289167i | −0.729065 | − | 0.684444i | \(-0.760045\pi\) |
0.228213 | + | 0.973611i | \(0.426712\pi\) | |||||||
\(192\) | 10.5773 | − | 8.95104i | 0.763349 | − | 0.645986i | ||||
\(193\) | 10.8021 | − | 18.7097i | 0.777549 | − | 1.34676i | −0.155801 | − | 0.987788i | \(-0.549796\pi\) |
0.933350 | − | 0.358967i | \(-0.116871\pi\) | |||||||
\(194\) | 14.0862 | − | 19.6536i | 1.01133 | − | 1.41104i | ||||
\(195\) | −0.448139 | + | 0.111905i | −0.0320919 | + | 0.00801371i | ||||
\(196\) | −12.8058 | − | 5.65787i | −0.914700 | − | 0.404134i | ||||
\(197\) | − | 13.1532i | − | 0.937127i | −0.883430 | − | 0.468564i | \(-0.844772\pi\) | ||
0.883430 | − | 0.468564i | \(-0.155228\pi\) | |||||||
\(198\) | −3.77242 | − | 9.14751i | −0.268094 | − | 0.650085i | ||||
\(199\) | −15.2510 | −1.08111 | −0.540557 | − | 0.841307i | \(-0.681787\pi\) | ||||
−0.540557 | + | 0.841307i | \(0.681787\pi\) | |||||||
\(200\) | −5.76278 | + | 1.34204i | −0.407490 | + | 0.0948969i | ||||
\(201\) | −6.71584 | − | 6.94944i | −0.473699 | − | 0.490176i | ||||
\(202\) | −0.288287 | − | 0.206623i | −0.0202838 | − | 0.0145380i | ||||
\(203\) | 1.65726 | − | 15.0396i | 0.116317 | − | 1.05557i | ||||
\(204\) | −20.5354 | + | 13.2140i | −1.43776 | + | 0.925166i | ||||
\(205\) | −3.04081 | + | 1.75561i | −0.212379 | + | 0.122617i | ||||
\(206\) | 1.74272 | − | 17.6778i | 0.121421 | − | 1.23167i | ||||
\(207\) | 5.81151 | + | 10.9109i | 0.403928 | + | 0.758357i | ||||
\(208\) | −0.577827 | − | 0.239588i | −0.0400651 | − | 0.0166125i | ||||
\(209\) | −14.0980 | + | 8.13946i | −0.975176 | + | 0.563018i | ||||
\(210\) | −9.36180 | + | 5.87316i | −0.646026 | + | 0.405286i | ||||
\(211\) | −1.82227 | + | 3.15626i | −0.125450 | + | 0.217286i | −0.921909 | − | 0.387407i | \(-0.873371\pi\) |
0.796459 | + | 0.604693i | \(0.206704\pi\) | |||||||
\(212\) | −12.8018 | − | 11.2310i | −0.879231 | − | 0.771346i | ||||
\(213\) | 20.6066 | + | 5.90081i | 1.41194 | + | 0.404317i | ||||
\(214\) | 9.40606 | − | 4.26081i | 0.642985 | − | 0.291263i | ||||
\(215\) | 2.19412 | 0.149638 | ||||||||
\(216\) | 6.25104 | + | 13.3013i | 0.425329 | + | 0.905039i | ||||
\(217\) | −0.0991634 | − | 0.225775i | −0.00673165 | − | 0.0153266i | ||||
\(218\) | −9.69599 | − | 21.4047i | −0.656696 | − | 1.44971i | ||||
\(219\) | 0.0734056 | + | 0.0210201i | 0.00496029 | + | 0.00142040i | ||||
\(220\) | 5.24572 | − | 5.97942i | 0.353666 | − | 0.403132i | ||||
\(221\) | 0.954694 | + | 0.551193i | 0.0642197 | + | 0.0370772i | ||||
\(222\) | −19.1550 | + | 2.82532i | −1.28560 | + | 0.189623i | ||||
\(223\) | 7.00685 | + | 12.1362i | 0.469213 | + | 0.812701i | 0.999381 | − | 0.0351919i | \(-0.0112042\pi\) |
−0.530167 | + | 0.847893i | \(0.677871\pi\) | |||||||
\(224\) | −14.9217 | − | 1.15841i | −0.997000 | − | 0.0773998i | ||||
\(225\) | 0.214500 | − | 6.27224i | 0.0143000 | − | 0.418149i | ||||
\(226\) | 0.422329 | − | 4.28401i | 0.0280929 | − | 0.284968i | ||||
\(227\) | 7.37007 | − | 4.25511i | 0.489169 | − | 0.282422i | −0.235061 | − | 0.971981i | \(-0.575529\pi\) |
0.724230 | + | 0.689559i | \(0.242196\pi\) | |||||||
\(228\) | 20.3334 | − | 13.0840i | 1.34661 | − | 0.866511i | ||||
\(229\) | 7.85630 | − | 13.6075i | 0.519159 | − | 0.899209i | −0.480593 | − | 0.876944i | \(-0.659579\pi\) |
0.999752 | − | 0.0222657i | \(-0.00708798\pi\) | |||||||
\(230\) | −5.78919 | + | 8.07727i | −0.381728 | + | 0.532599i | ||||
\(231\) | −4.04990 | + | 9.89062i | −0.266464 | + | 0.650755i | ||||
\(232\) | −3.66876 | − | 15.7538i | −0.240866 | − | 1.03428i | ||||
\(233\) | −24.2284 | −1.58726 | −0.793629 | − | 0.608402i | \(-0.791811\pi\) | ||||
−0.793629 | + | 0.608402i | \(0.791811\pi\) | |||||||
\(234\) | 0.404713 | − | 0.525743i | 0.0264569 | − | 0.0343689i | ||||
\(235\) | 4.74334 | 0.309422 | ||||||||
\(236\) | −1.91090 | + | 0.648277i | −0.124389 | + | 0.0421993i | ||||
\(237\) | −5.06014 | − | 20.2640i | −0.328691 | − | 1.31629i | ||||
\(238\) | 25.8075 | + | 5.44715i | 1.67285 | + | 0.353087i | ||||
\(239\) | 8.62438 | + | 4.97929i | 0.557864 | + | 0.322083i | 0.752288 | − | 0.658834i | \(-0.228950\pi\) |
−0.194423 | + | 0.980918i | \(0.562284\pi\) | |||||||
\(240\) | −7.35478 | + | 9.24622i | −0.474749 | + | 0.596841i | ||||
\(241\) | −11.7613 | + | 6.79039i | −0.757612 | + | 0.437408i | −0.828438 | − | 0.560081i | \(-0.810770\pi\) |
0.0708256 | + | 0.997489i | \(0.477437\pi\) | |||||||
\(242\) | −0.771511 | + | 7.82604i | −0.0495946 | + | 0.503077i | ||||
\(243\) | −15.3467 | + | 2.73460i | −0.984493 | + | 0.175425i | ||||
\(244\) | 9.11102 | + | 1.81401i | 0.583273 | + | 0.116130i | ||||
\(245\) | 11.6506 | + | 2.59921i | 0.744333 | + | 0.166058i | ||||
\(246\) | 1.85743 | − | 4.68905i | 0.118425 | − | 0.298963i | ||||
\(247\) | −0.945303 | − | 0.545771i | −0.0601482 | − | 0.0347266i | ||||
\(248\) | −0.180155 | − | 0.192454i | −0.0114399 | − | 0.0122208i | ||||
\(249\) | −3.71318 | − | 14.8699i | −0.235313 | − | 0.942340i | ||||
\(250\) | 15.5795 | − | 7.05727i | 0.985332 | − | 0.446341i | ||||
\(251\) | − | 22.8277i | − | 1.44087i | −0.693522 | − | 0.720436i | \(-0.743942\pi\) | ||
0.693522 | − | 0.720436i | \(-0.256058\pi\) | |||||||
\(252\) | 5.30091 | − | 14.9633i | 0.333926 | − | 0.942599i | ||||
\(253\) | 9.61042i | 0.604202i | ||||||||
\(254\) | 0.978637 | + | 2.16042i | 0.0614051 | + | 0.135557i | ||||
\(255\) | 14.9723 | − | 14.4690i | 0.937602 | − | 0.906086i | ||||
\(256\) | −15.4578 | + | 4.12994i | −0.966113 | + | 0.258121i | ||||
\(257\) | 18.5995 | + | 10.7384i | 1.16021 | + | 0.669846i | 0.951354 | − | 0.308101i | \(-0.0996934\pi\) |
0.208854 | + | 0.977947i | \(0.433027\pi\) | |||||||
\(258\) | −2.47024 | + | 1.95722i | −0.153790 | + | 0.121851i | ||||
\(259\) | 16.8574 | + | 12.3777i | 1.04747 | + | 0.769111i | ||||
\(260\) | 0.523089 | + | 0.104147i | 0.0324406 | + | 0.00645893i | ||||
\(261\) | 17.1465 | + | 0.586380i | 1.06134 | + | 0.0362960i | ||||
\(262\) | 15.1251 | + | 1.49108i | 0.934435 | + | 0.0921190i | ||||
\(263\) | 14.9826 | − | 8.65021i | 0.923867 | − | 0.533395i | 0.0390002 | − | 0.999239i | \(-0.487583\pi\) |
0.884867 | + | 0.465844i | \(0.154249\pi\) | |||||||
\(264\) | −0.572049 | + | 11.4113i | −0.0352072 | + | 0.702314i | ||||
\(265\) | 12.5752 | + | 7.26029i | 0.772488 | + | 0.445996i | ||||
\(266\) | −25.5536 | − | 5.39357i | −1.56679 | − | 0.330701i | ||||
\(267\) | −17.6293 | − | 5.04824i | −1.07890 | − | 0.308947i | ||||
\(268\) | 3.58513 | + | 10.5677i | 0.218996 | + | 0.645526i | ||||
\(269\) | 7.73853 | 0.471826 | 0.235913 | − | 0.971774i | \(-0.424192\pi\) | ||||
0.235913 | + | 0.971774i | \(0.424192\pi\) | |||||||
\(270\) | −7.44192 | − | 10.0822i | −0.452901 | − | 0.613585i | ||||
\(271\) | 7.52766 | 0.457273 | 0.228637 | − | 0.973512i | \(-0.426573\pi\) | ||||
0.228637 | + | 0.973512i | \(0.426573\pi\) | |||||||
\(272\) | 27.9573 | − | 3.67037i | 1.69516 | − | 0.222549i | ||||
\(273\) | −0.710118 | + | 0.0964209i | −0.0429783 | + | 0.00583566i | ||||
\(274\) | −7.63504 | − | 5.47223i | −0.461249 | − | 0.330590i | ||||
\(275\) | 2.43948 | − | 4.22531i | 0.147106 | − | 0.254796i | ||||
\(276\) | −0.687432 | − | 14.2579i | −0.0413785 | − | 0.858225i | ||||
\(277\) | −12.2577 | + | 7.07701i | −0.736496 | + | 0.425216i | −0.820794 | − | 0.571224i | \(-0.806469\pi\) |
0.0842977 | + | 0.996441i | \(0.473135\pi\) | |||||||
\(278\) | −24.5576 | − | 2.42095i | −1.47287 | − | 0.145199i | ||||
\(279\) | 0.246785 | − | 0.131447i | 0.0147747 | − | 0.00786950i | ||||
\(280\) | 12.6709 | − | 1.51568i | 0.757233 | − | 0.0905791i | ||||
\(281\) | −2.71235 | − | 4.69792i | −0.161805 | − | 0.280255i | 0.773711 | − | 0.633539i | \(-0.218398\pi\) |
−0.935516 | + | 0.353284i | \(0.885065\pi\) | |||||||
\(282\) | −5.34028 | + | 4.23121i | −0.318009 | + | 0.251965i | ||||
\(283\) | −1.40185 | − | 0.809356i | −0.0833311 | − | 0.0481112i | 0.457755 | − | 0.889078i | \(-0.348654\pi\) |
−0.541087 | + | 0.840967i | \(0.681987\pi\) | |||||||
\(284\) | −18.6057 | − | 16.3227i | −1.10405 | − | 0.968575i | ||||
\(285\) | −14.8250 | + | 14.3267i | −0.878159 | + | 0.848641i | ||||
\(286\) | 0.469836 | − | 0.212829i | 0.0277820 | − | 0.0125848i | ||||
\(287\) | −4.98775 | + | 2.19069i | −0.294417 | + | 0.129312i | ||||
\(288\) | 0.0324396 | − | 16.9705i | 0.00191152 | − | 0.999998i | ||||
\(289\) | −32.6926 | −1.92309 | ||||||||
\(290\) | 5.69085 | + | 12.5630i | 0.334178 | + | 0.737725i | ||||
\(291\) | −7.17480 | − | 28.7324i | −0.420594 | − | 1.68432i | ||||
\(292\) | −0.0662779 | − | 0.0581453i | −0.00387862 | − | 0.00340270i | ||||
\(293\) | 3.86639 | − | 6.69678i | 0.225877 | − | 0.391230i | −0.730705 | − | 0.682693i | \(-0.760809\pi\) |
0.956582 | + | 0.291463i | \(0.0941419\pi\) | |||||||
\(294\) | −15.4354 | + | 7.46643i | −0.900212 | + | 0.435451i | ||||
\(295\) | 1.49002 | − | 0.860265i | 0.0867525 | − | 0.0500866i | ||||
\(296\) | 21.3931 | + | 6.49586i | 1.24345 | + | 0.377564i | ||||
\(297\) | −11.5296 | − | 3.73239i | −0.669014 | − | 0.216575i | ||||
\(298\) | −16.9825 | − | 1.67418i | −0.983770 | − | 0.0969826i | ||||
\(299\) | −0.558069 | + | 0.322201i | −0.0322739 | + | 0.0186334i | ||||
\(300\) | −3.31696 | + | 6.44312i | −0.191505 | + | 0.371994i | ||||
\(301\) | 3.38367 | + | 0.372859i | 0.195032 | + | 0.0214912i | ||||
\(302\) | −13.7772 | + | 19.2223i | −0.792787 | + | 1.10612i | ||||
\(303\) | −0.421459 | + | 0.105243i | −0.0242122 | + | 0.00604606i | ||||
\(304\) | −27.6823 | + | 3.63427i | −1.58769 | + | 0.208440i | ||||
\(305\) | −7.92097 | −0.453553 | ||||||||
\(306\) | −3.94970 | + | 29.6457i | −0.225789 | + | 1.69473i | ||||
\(307\) | 19.2532i | 1.09884i | 0.835547 | + | 0.549419i | \(0.185151\pi\) | ||||
−0.835547 | + | 0.549419i | \(0.814849\pi\) | |||||||
\(308\) | 9.10584 | − | 8.32977i | 0.518853 | − | 0.474632i | ||||
\(309\) | −15.1185 | − | 15.6443i | −0.860059 | − | 0.889975i | ||||
\(310\) | 0.182694 | + | 0.130942i | 0.0103763 | + | 0.00743700i | ||||
\(311\) | −9.34520 | + | 16.1864i | −0.529918 | + | 0.917844i | 0.469473 | + | 0.882947i | \(0.344444\pi\) |
−0.999391 | + | 0.0348976i | \(0.988889\pi\) | |||||||
\(312\) | −0.681821 | + | 0.349358i | −0.0386005 | + | 0.0197785i | ||||
\(313\) | −6.13100 | + | 3.53974i | −0.346545 | + | 0.200078i | −0.663162 | − | 0.748476i | \(-0.730786\pi\) |
0.316618 | + | 0.948553i | \(0.397453\pi\) | |||||||
\(314\) | 2.52906 | − | 25.6542i | 0.142723 | − | 1.44775i | ||||
\(315\) | −1.94150 | + | 13.3954i | −0.109391 | + | 0.754745i | ||||
\(316\) | −4.70932 | + | 23.6530i | −0.264920 | + | 1.33059i | ||||
\(317\) | −6.89036 | + | 3.97815i | −0.387001 | + | 0.223435i | −0.680860 | − | 0.732414i | \(-0.738394\pi\) |
0.293859 | + | 0.955849i | \(0.405060\pi\) | |||||||
\(318\) | −20.6342 | + | 3.04349i | −1.15711 | + | 0.170671i | ||||
\(319\) | 11.5508 | + | 6.66884i | 0.646719 | + | 0.373383i | ||||
\(320\) | 12.2387 | − | 6.02723i | 0.684166 | − | 0.336932i | ||||
\(321\) | 3.48156 | − | 12.1582i | 0.194321 | − | 0.678604i | ||||
\(322\) | −10.3005 | + | 11.4726i | −0.574022 | + | 0.639344i | ||||
\(323\) | 49.2038 | 2.73777 | ||||||||
\(324\) | 17.3721 | + | 4.71263i | 0.965119 | + | 0.261813i | ||||
\(325\) | 0.327147 | 0.0181468 | ||||||||
\(326\) | 15.9989 | − | 7.24728i | 0.886099 | − | 0.401390i | ||||
\(327\) | −27.6675 | − | 7.92271i | −1.53001 | − | 0.438127i | ||||
\(328\) | −4.25164 | + | 3.97993i | −0.234757 | + | 0.219755i | ||||
\(329\) | 7.31498 | + | 0.806063i | 0.403288 | + | 0.0444397i | ||||
\(330\) | −1.42154 | − | 9.63772i | −0.0782533 | − | 0.530539i | ||||
\(331\) | −0.952118 | − | 1.64912i | −0.0523332 | − | 0.0906437i | 0.838672 | − | 0.544637i | \(-0.183332\pi\) |
−0.891005 | + | 0.453993i | \(0.849999\pi\) | |||||||
\(332\) | −3.45575 | + | 17.3568i | −0.189659 | + | 0.952579i | ||||
\(333\) | −12.5519 | + | 20.1195i | −0.687839 | + | 1.10254i | ||||
\(334\) | 2.92018 | − | 29.6216i | 0.159785 | − | 1.62082i | ||||
\(335\) | −4.75747 | − | 8.24018i | −0.259928 | − | 0.450209i | ||||
\(336\) | −12.9135 | + | 13.0093i | −0.704489 | + | 0.709715i | ||||
\(337\) | 1.89149 | − | 3.27615i | 0.103036 | − | 0.178463i | −0.809898 | − | 0.586570i | \(-0.800478\pi\) |
0.912934 | + | 0.408107i | \(0.133811\pi\) | |||||||
\(338\) | −14.9149 | − | 10.6899i | −0.811265 | − | 0.581455i | ||||
\(339\) | −3.66378 | − | 3.79122i | −0.198989 | − | 0.205911i | ||||
\(340\) | −22.7677 | + | 7.72402i | −1.23475 | + | 0.418894i | ||||
\(341\) | 0.217372 | 0.0117713 | ||||||||
\(342\) | 3.91084 | − | 29.3541i | 0.211474 | − | 1.58729i | ||||
\(343\) | 17.5254 | + | 5.98826i | 0.946284 | + | 0.323335i | ||||
\(344\) | 3.54435 | − | 0.825415i | 0.191099 | − | 0.0445034i | ||||
\(345\) | 2.94871 | + | 11.8085i | 0.158753 | + | 0.635748i | ||||
\(346\) | 25.8921 | + | 18.5576i | 1.39197 | + | 0.997661i | ||||
\(347\) | 4.25153 | − | 7.36387i | 0.228234 | − | 0.395313i | −0.729051 | − | 0.684460i | \(-0.760038\pi\) |
0.957285 | + | 0.289147i | \(0.0933715\pi\) | |||||||
\(348\) | −17.6136 | − | 9.06760i | −0.944189 | − | 0.486074i | ||||
\(349\) | −2.15354 | − | 3.73004i | −0.115276 | − | 0.199665i | 0.802614 | − | 0.596499i | \(-0.203442\pi\) |
−0.917890 | + | 0.396834i | \(0.870109\pi\) | |||||||
\(350\) | 7.44088 | − | 2.42941i | 0.397732 | − | 0.129857i | ||||
\(351\) | −0.169806 | − | 0.794646i | −0.00906360 | − | 0.0424151i | ||||
\(352\) | 6.22445 | − | 11.6325i | 0.331764 | − | 0.620014i | ||||
\(353\) | 31.4501 | − | 18.1577i | 1.67392 | − | 0.966437i | 0.708507 | − | 0.705703i | \(-0.249369\pi\) |
0.965411 | − | 0.260734i | \(-0.0839644\pi\) | |||||||
\(354\) | −0.910154 | + | 2.29767i | −0.0483742 | + | 0.122120i | ||||
\(355\) | 18.2764 | + | 10.5519i | 0.970009 | + | 0.560035i | ||||
\(356\) | 15.9175 | + | 13.9644i | 0.843625 | + | 0.740109i | ||||
\(357\) | 25.5485 | − | 19.7692i | 1.35217 | − | 1.04630i | ||||
\(358\) | 7.44011 | − | 3.37026i | 0.393222 | − | 0.178124i | ||||
\(359\) | 10.4504i | 0.551551i | 0.961222 | + | 0.275776i | \(0.0889347\pi\) | ||||
−0.961222 | + | 0.275776i | \(0.911065\pi\) | |||||||
\(360\) | 2.79837 | + | 14.1967i | 0.147487 | + | 0.748234i | ||||
\(361\) | −29.7198 | −1.56420 | ||||||||
\(362\) | 14.2214 | − | 6.44208i | 0.747460 | − | 0.338588i | ||||
\(363\) | 6.69300 | + | 6.92581i | 0.351292 | + | 0.363511i | ||||
\(364\) | 0.788987 | + | 0.249503i | 0.0413542 | + | 0.0130775i | ||||
\(365\) | 0.0651047 | + | 0.0375882i | 0.00340774 | + | 0.00196746i | ||||
\(366\) | 8.91780 | − | 7.06575i | 0.466141 | − | 0.369333i | ||||
\(367\) | −7.96003 | − | 13.7872i | −0.415510 | − | 0.719685i | 0.579972 | − | 0.814637i | \(-0.303064\pi\) |
−0.995482 | + | 0.0949517i | \(0.969730\pi\) | |||||||
\(368\) | −6.31317 | + | 15.2258i | −0.329097 | + | 0.793699i | ||||
\(369\) | −2.90388 | − | 5.45191i | −0.151170 | − | 0.283815i | ||||
\(370\) | −18.9712 | − | 1.87023i | −0.986264 | − | 0.0972285i | ||||
\(371\) | 18.1591 | + | 13.3335i | 0.942776 | + | 0.692240i | ||||
\(372\) | −0.322490 | + | 0.0155486i | −0.0167203 | + | 0.000806156i | ||||
\(373\) | 16.7190 | + | 9.65271i | 0.865676 | + | 0.499798i | 0.865909 | − | 0.500202i | \(-0.166741\pi\) |
−0.000232989 | 1.00000i | \(0.500074\pi\) | ||||||||
\(374\) | −13.5446 | + | 18.8979i | −0.700377 | + | 0.977189i | ||||
\(375\) | 5.76658 | − | 20.1379i | 0.297785 | − | 1.03992i | ||||
\(376\) | 7.66234 | − | 1.78442i | 0.395155 | − | 0.0920244i | ||||
\(377\) | 0.894325i | 0.0460601i | ||||||||
\(378\) | −9.76328 | − | 16.8130i | −0.502169 | − | 0.864770i | ||||
\(379\) | 31.8440 | 1.63572 | 0.817858 | − | 0.575420i | \(-0.195161\pi\) | ||||
0.817858 | + | 0.575420i | \(0.195161\pi\) | |||||||
\(380\) | 22.5438 | − | 7.64804i | 1.15647 | − | 0.392336i | ||||
\(381\) | 2.79253 | + | 0.799656i | 0.143066 | + | 0.0409676i | ||||
\(382\) | 6.58483 | − | 9.18737i | 0.336909 | − | 0.470067i | ||||
\(383\) | 16.2991 | − | 28.2309i | 0.832847 | − | 1.44253i | −0.0629252 | − | 0.998018i | \(-0.520043\pi\) |
0.895772 | − | 0.444514i | \(-0.146624\pi\) | |||||||
\(384\) | −8.40246 | + | 17.7031i | −0.428786 | + | 0.903406i | ||||
\(385\) | −6.22775 | + | 8.48170i | −0.317396 | + | 0.432268i | ||||
\(386\) | −2.99745 | + | 30.4055i | −0.152566 | + | 1.54760i | ||||
\(387\) | −0.131926 | + | 3.85769i | −0.00670620 | + | 0.196098i | ||||
\(388\) | −6.67737 | + | 33.5378i | −0.338992 | + | 1.70262i | ||||
\(389\) | −28.0956 | + | 16.2210i | −1.42450 | + | 0.822438i | −0.996680 | − | 0.0814235i | \(-0.974053\pi\) |
−0.427825 | + | 0.903862i | \(0.640720\pi\) | |||||||
\(390\) | 0.511995 | − | 0.405664i | 0.0259259 | − | 0.0205416i | ||||
\(391\) | 14.5240 | − | 25.1563i | 0.734509 | − | 1.27221i | ||||
\(392\) | 19.7981 | − | 0.184170i | 0.999957 | − | 0.00930200i | ||||
\(393\) | 13.3853 | − | 12.9354i | 0.675199 | − | 0.652503i | ||||
\(394\) | 7.67542 | + | 16.9441i | 0.386682 | + | 0.853630i | ||||
\(395\) | − | 20.5636i | − | 1.03467i | ||||||
\(396\) | 10.1976 | + | 9.58254i | 0.512448 | + | 0.481541i | ||||
\(397\) | 26.2431 | 1.31710 | 0.658551 | − | 0.752536i | \(-0.271170\pi\) | ||||
0.658551 | + | 0.752536i | \(0.271170\pi\) | |||||||
\(398\) | 19.6465 | − | 8.89956i | 0.984789 | − | 0.446095i | ||||
\(399\) | −25.2971 | + | 19.5747i | −1.26644 | + | 0.979962i | ||||
\(400\) | 6.64052 | − | 5.09164i | 0.332026 | − | 0.254582i | ||||
\(401\) | −3.97077 | + | 6.87757i | −0.198291 | + | 0.343450i | −0.947974 | − | 0.318347i | \(-0.896872\pi\) |
0.749684 | + | 0.661796i | \(0.230206\pi\) | |||||||
\(402\) | 12.7067 | + | 5.03337i | 0.633752 | + | 0.251042i | ||||
\(403\) | 0.00728765 | + | 0.0126226i | 0.000363024 | + | 0.000628776i | ||||
\(404\) | 0.491947 | + | 0.0979467i | 0.0244753 | + | 0.00487303i | ||||
\(405\) | −15.3118 | − | 1.04850i | −0.760849 | − | 0.0521004i | ||||
\(406\) | 6.64129 | + | 20.3412i | 0.329602 | + | 1.00952i | ||||
\(407\) | −15.9655 | + | 9.21770i | −0.791382 | + | 0.456904i | ||||
\(408\) | 18.7429 | − | 29.0056i | 0.927913 | − | 1.43599i | ||||
\(409\) | −23.5890 | − | 13.6191i | −1.16640 | − | 0.673422i | −0.213572 | − | 0.976927i | \(-0.568510\pi\) |
−0.952830 | + | 0.303505i | \(0.901843\pi\) | |||||||
\(410\) | 2.89273 | − | 4.03603i | 0.142862 | − | 0.199325i | ||||
\(411\) | −11.1620 | + | 2.78727i | −0.550580 | + | 0.137486i | ||||
\(412\) | 8.07071 | + | 23.7897i | 0.397615 | + | 1.17203i | ||||
\(413\) | 2.44404 | − | 1.07346i | 0.120263 | − | 0.0528213i | ||||
\(414\) | −13.8534 | − | 10.6642i | −0.680855 | − | 0.524117i | ||||
\(415\) | − | 15.0897i | − | 0.740726i | ||||||
\(416\) | 0.884171 | − | 0.0285451i | 0.0433501 | − | 0.00139954i | ||||
\(417\) | −21.7328 | + | 21.0022i | −1.06426 | + | 1.02848i | ||||
\(418\) | 13.4114 | − | 18.7120i | 0.655973 | − | 0.915235i | ||||
\(419\) | −28.2258 | − | 16.2962i | −1.37892 | − | 0.796121i | −0.386892 | − | 0.922125i | \(-0.626451\pi\) |
−0.992030 | + | 0.126004i | \(0.959785\pi\) | |||||||
\(420\) | 8.63273 | − | 13.0288i | 0.421234 | − | 0.635742i | ||||
\(421\) | 15.4585 | − | 8.92495i | 0.753400 | − | 0.434975i | −0.0735214 | − | 0.997294i | \(-0.523424\pi\) |
0.826921 | + | 0.562318i | \(0.190090\pi\) | |||||||
\(422\) | 0.505658 | − | 5.12929i | 0.0246151 | − | 0.249690i | ||||
\(423\) | −0.285204 | + | 8.33974i | −0.0138671 | + | 0.405492i | ||||
\(424\) | 23.0451 | + | 6.99748i | 1.11917 | + | 0.339827i | ||||
\(425\) | −12.7712 | + | 7.37346i | −0.619494 | + | 0.357665i | ||||
\(426\) | −29.9890 | + | 4.42331i | −1.45297 | + | 0.214310i | ||||
\(427\) | −12.2154 | − | 1.34606i | −0.591144 | − | 0.0651402i | ||||
\(428\) | −9.63062 | + | 10.9776i | −0.465514 | + | 0.530623i | ||||
\(429\) | 0.173905 | − | 0.607306i | 0.00839622 | − | 0.0293210i | ||||
\(430\) | −2.82648 | + | 1.28035i | −0.136305 | + | 0.0617442i | ||||
\(431\) | − | 27.7446i | − | 1.33641i | −0.743976 | − | 0.668206i | \(-0.767062\pi\) | ||
0.743976 | − | 0.668206i | \(-0.232938\pi\) | |||||||
\(432\) | −15.8145 | − | 13.4871i | −0.760874 | − | 0.648899i | ||||
\(433\) | 26.4586i | 1.27152i | 0.771888 | + | 0.635759i | \(0.219313\pi\) | ||||
−0.771888 | + | 0.635759i | \(0.780687\pi\) | |||||||
\(434\) | 0.259492 | + | 0.232979i | 0.0124560 | + | 0.0111834i | ||||
\(435\) | 16.2388 | + | 4.65007i | 0.778592 | + | 0.222954i | ||||
\(436\) | 24.9809 | + | 21.9157i | 1.19637 | + | 1.04957i | ||||
\(437\) | −14.3811 | + | 24.9088i | −0.687941 | + | 1.19155i | ||||
\(438\) | −0.106828 | + | 0.0157569i | −0.00510443 | + | 0.000752892i | ||||
\(439\) | −1.94216 | − | 3.36393i | −0.0926944 | − | 0.160551i | 0.815950 | − | 0.578123i | \(-0.196215\pi\) |
−0.908644 | + | 0.417572i | \(0.862881\pi\) | |||||||
\(440\) | −3.26835 | + | 10.7638i | −0.155813 | + | 0.513145i | ||||
\(441\) | −5.27045 | + | 20.3279i | −0.250974 | + | 0.967994i | ||||
\(442\) | −1.55149 | − | 0.152950i | −0.0737968 | − | 0.00727507i | ||||
\(443\) | 3.33597 | + | 5.77807i | 0.158497 | + | 0.274525i | 0.934327 | − | 0.356417i | \(-0.116002\pi\) |
−0.775830 | + | 0.630942i | \(0.782669\pi\) | |||||||
\(444\) | 23.0269 | − | 14.8173i | 1.09281 | − | 0.703198i | ||||
\(445\) | −15.6357 | − | 9.02730i | −0.741205 | − | 0.427935i | ||||
\(446\) | −16.1082 | − | 11.5452i | −0.762747 | − | 0.546681i | ||||
\(447\) | −15.0290 | + | 14.5238i | −0.710848 | + | 0.686954i | ||||
\(448\) | 19.8983 | − | 7.21514i | 0.940106 | − | 0.340883i | ||||
\(449\) | −6.68442 | −0.315457 | −0.157729 | − | 0.987483i | \(-0.550417\pi\) | ||||
−0.157729 | + | 0.987483i | \(0.550417\pi\) | |||||||
\(450\) | 3.38378 | + | 8.20512i | 0.159513 | + | 0.386793i | ||||
\(451\) | − | 4.80211i | − | 0.226122i | ||||||
\(452\) | 1.95584 | + | 5.76515i | 0.0919951 | + | 0.271170i | ||||
\(453\) | 7.01738 | + | 28.1020i | 0.329705 | + | 1.32035i | ||||
\(454\) | −7.01116 | + | 9.78220i | −0.329050 | + | 0.459101i | ||||
\(455\) | −0.701319 | − | 0.0772808i | −0.0328783 | − | 0.00362298i | ||||
\(456\) | −18.5586 | + | 28.7203i | −0.869084 | + | 1.34495i | ||||
\(457\) | 3.61752 | + | 6.26573i | 0.169221 | + | 0.293099i | 0.938146 | − | 0.346240i | \(-0.112542\pi\) |
−0.768925 | + | 0.639338i | \(0.779208\pi\) | |||||||
\(458\) | −2.18003 | + | 22.1138i | −0.101866 | + | 1.03331i | ||||
\(459\) | 24.5392 | + | 27.1943i | 1.14539 | + | 1.26932i | ||||
\(460\) | 2.74428 | − | 13.7834i | 0.127953 | − | 0.642656i | ||||
\(461\) | 13.4965 | + | 23.3766i | 0.628595 | + | 1.08876i | 0.987834 | + | 0.155513i | \(0.0497029\pi\) |
−0.359239 | + | 0.933246i | \(0.616964\pi\) | |||||||
\(462\) | −0.554448 | − | 15.1045i | −0.0257953 | − | 0.702723i | ||||
\(463\) | −7.82602 | − | 4.51835i | −0.363706 | − | 0.209986i | 0.306999 | − | 0.951710i | \(-0.400675\pi\) |
−0.670705 | + | 0.741724i | \(0.734008\pi\) | |||||||
\(464\) | 13.9191 | + | 18.1533i | 0.646177 | + | 0.842744i | ||||
\(465\) | 0.267088 | − | 0.0666950i | 0.0123859 | − | 0.00309291i | ||||
\(466\) | 31.2113 | − | 14.1383i | 1.44583 | − | 0.654942i | ||||
\(467\) | 6.39572i | 0.295959i | 0.988990 | + | 0.147979i | \(0.0472769\pi\) | ||||
−0.988990 | + | 0.147979i | \(0.952723\pi\) | |||||||
\(468\) | −0.214563 | + | 0.913432i | −0.00991819 | + | 0.0422234i | ||||
\(469\) | −5.93646 | − | 13.5161i | −0.274120 | − | 0.624116i | ||||
\(470\) | −6.11041 | + | 2.76793i | −0.281852 | + | 0.127675i | ||||
\(471\) | −21.9400 | − | 22.7032i | −1.01094 | − | 1.04611i | ||||
\(472\) | 2.08334 | − | 1.95020i | 0.0958934 | − | 0.0897653i | ||||
\(473\) | −1.50039 | + | 2.59875i | −0.0689878 | + | 0.119490i | ||||
\(474\) | 18.3433 | + | 23.1514i | 0.842538 | + | 1.06338i | ||||
\(475\) | 12.6456 | − | 7.30092i | 0.580219 | − | 0.334989i | ||||
\(476\) | −36.4240 | + | 8.04260i | −1.66949 | + | 0.368632i | ||||
\(477\) | −13.5211 | + | 21.6731i | −0.619091 | + | 0.992345i | ||||
\(478\) | −14.0156 | − | 1.38169i | −0.641059 | − | 0.0631972i | ||||
\(479\) | 9.46833 | + | 16.3996i | 0.432619 | + | 0.749319i | 0.997098 | − | 0.0761291i | \(-0.0242561\pi\) |
−0.564479 | + | 0.825448i | \(0.690923\pi\) | |||||||
\(480\) | 4.07896 | − | 16.2029i | 0.186178 | − | 0.739557i | ||||
\(481\) | −1.07053 | − | 0.618070i | −0.0488119 | − | 0.0281816i | ||||
\(482\) | 11.1886 | − | 15.6106i | 0.509625 | − | 0.711045i | ||||
\(483\) | 2.54070 | + | 18.7116i | 0.115606 | + | 0.851409i | ||||
\(484\) | −3.57293 | − | 10.5318i | −0.162406 | − | 0.478717i | ||||
\(485\) | − | 29.1572i | − | 1.32396i | ||||||
\(486\) | 18.1740 | − | 12.4782i | 0.824391 | − | 0.566021i | ||||
\(487\) | 19.0394i | 0.862757i | 0.902171 | + | 0.431379i | \(0.141973\pi\) | ||||
−0.902171 | + | 0.431379i | \(0.858027\pi\) | |||||||
\(488\) | −12.7954 | + | 2.97982i | −0.579222 | + | 0.134890i | ||||
\(489\) | 5.92184 | − | 20.6801i | 0.267795 | − | 0.935185i | ||||
\(490\) | −16.5252 | + | 3.45029i | −0.746533 | + | 0.155868i | ||||
\(491\) | −7.97064 | + | 13.8055i | −0.359710 | + | 0.623036i | −0.987912 | − | 0.155014i | \(-0.950458\pi\) |
0.628202 | + | 0.778050i | \(0.283791\pi\) | |||||||
\(492\) | 0.343494 | + | 7.12435i | 0.0154859 | + | 0.321191i | ||||
\(493\) | −20.1569 | − | 34.9128i | −0.907821 | − | 1.57239i | ||||
\(494\) | 1.53623 | + | 0.151445i | 0.0691181 | + | 0.00681384i | ||||
\(495\) | −10.1230 | − | 6.31541i | −0.454996 | − | 0.283856i | ||||
\(496\) | 0.344382 | + | 0.142793i | 0.0154632 | + | 0.00641161i | ||||
\(497\) | 26.3919 | + | 19.3784i | 1.18384 | + | 0.869242i | ||||
\(498\) | 13.4605 | + | 16.9887i | 0.603180 | + | 0.761283i | ||||
\(499\) | −10.7917 | + | 18.6918i | −0.483103 | + | 0.836759i | −0.999812 | − | 0.0194021i | \(-0.993824\pi\) |
0.516709 | + | 0.856161i | \(0.327157\pi\) | |||||||
\(500\) | −15.9514 | + | 18.1825i | −0.713369 | + | 0.813145i | ||||
\(501\) | −25.3331 | − | 26.2143i | −1.13180 | − | 1.17117i | ||||
\(502\) | 13.3209 | + | 29.4068i | 0.594539 | + | 1.31249i | ||||
\(503\) | 8.82443 | 0.393462 | 0.196731 | − | 0.980457i | \(-0.436967\pi\) | ||||
0.196731 | + | 0.980457i | \(0.436967\pi\) | |||||||
\(504\) | 1.90299 | + | 22.3691i | 0.0847661 | + | 0.996401i | ||||
\(505\) | −0.427690 | −0.0190320 | ||||||||
\(506\) | −5.60806 | − | 12.3802i | −0.249309 | − | 0.550368i | ||||
\(507\) | −21.8048 | + | 5.44489i | −0.968383 | + | 0.241816i | ||||
\(508\) | −2.52138 | − | 2.21199i | −0.111868 | − | 0.0981414i | ||||
\(509\) | 0.491418 | − | 0.851161i | 0.0217817 | − | 0.0377270i | −0.854929 | − | 0.518745i | \(-0.826399\pi\) |
0.876711 | + | 0.481018i | \(0.159733\pi\) | |||||||
\(510\) | −10.8442 | + | 27.3761i | −0.480189 | + | 1.21223i | ||||
\(511\) | 0.0940141 | + | 0.0690306i | 0.00415894 | + | 0.00305373i | ||||
\(512\) | 17.5029 | − | 14.3405i | 0.773526 | − | 0.633765i | ||||
\(513\) | −24.2978 | − | 26.9268i | −1.07277 | − | 1.18885i | ||||
\(514\) | −30.2264 | − | 2.97980i | −1.33323 | − | 0.131433i | ||||
\(515\) | −10.7098 | − | 18.5500i | −0.471932 | − | 0.817410i | ||||
\(516\) | 2.04007 | − | 3.96279i | 0.0898090 | − | 0.174452i | ||||
\(517\) | −3.24360 | + | 5.61808i | −0.142653 | + | 0.247083i | ||||
\(518\) | −28.9387 | − | 6.10806i | −1.27149 | − | 0.268373i | ||||
\(519\) | 37.8528 | − | 9.45226i | 1.66155 | − | 0.414908i | ||||
\(520\) | −0.734622 | + | 0.171080i | −0.0322153 | + | 0.00750235i | ||||
\(521\) | 7.98737i | 0.349933i | 0.984574 | + | 0.174967i | \(0.0559817\pi\) | ||||
−0.984574 | + | 0.174967i | \(0.944018\pi\) | |||||||
\(522\) | −22.4304 | + | 9.25027i | −0.981753 | + | 0.404873i | ||||
\(523\) | 21.0125i | 0.918811i | 0.888227 | + | 0.459405i | \(0.151937\pi\) | ||||
−0.888227 | + | 0.459405i | \(0.848063\pi\) | |||||||
\(524\) | −20.3544 | + | 6.90530i | −0.889188 | + | 0.301660i | ||||
\(525\) | 3.63268 | − | 8.87168i | 0.158543 | − | 0.387192i | ||||
\(526\) | −14.2530 | + | 19.8862i | −0.621459 | + | 0.867080i | ||||
\(527\) | −0.568992 | − | 0.328508i | −0.0247857 | − | 0.0143100i | ||||
\(528\) | −5.92200 | − | 15.0339i | −0.257722 | − | 0.654266i | ||||
\(529\) | −3.00998 | − | 5.21344i | −0.130869 | − | 0.226671i | ||||
\(530\) | −20.4361 | − | 2.01465i | −0.887689 | − | 0.0875107i | ||||
\(531\) | 1.42293 | + | 2.67148i | 0.0617497 | + | 0.115932i | ||||
\(532\) | 36.0657 | − | 7.96349i | 1.56365 | − | 0.345261i | ||||
\(533\) | 0.278854 | − | 0.160997i | 0.0120785 | − | 0.00697354i | ||||
\(534\) | 25.6561 | − | 3.78421i | 1.11025 | − | 0.163759i | ||||
\(535\) | 6.22574 | − | 10.7833i | 0.269162 | − | 0.466203i | ||||
\(536\) | −10.7851 | − | 11.5214i | −0.465844 | − | 0.497647i | ||||
\(537\) | 2.75388 | − | 9.61702i | 0.118839 | − | 0.415005i | ||||
\(538\) | −9.96884 | + | 4.51574i | −0.429787 | + | 0.194687i | ||||
\(539\) | −11.0455 | + | 12.0218i | −0.475764 | + | 0.517816i | ||||
\(540\) | 15.4701 | + | 8.64537i | 0.665728 | + | 0.372038i | ||||
\(541\) | − | 1.44275i | − | 0.0620286i | −0.999519 | − | 0.0310143i | \(-0.990126\pi\) | ||
0.999519 | − | 0.0310143i | \(-0.00987375\pi\) | |||||||
\(542\) | −9.69720 | + | 4.39269i | −0.416530 | + | 0.188682i | ||||
\(543\) | 5.26390 | − | 18.3824i | 0.225896 | − | 0.788866i | ||||
\(544\) | −33.8730 | + | 21.0424i | −1.45229 | + | 0.902185i | ||||
\(545\) | −24.5387 | − | 14.1674i | −1.05112 | − | 0.606867i | ||||
\(546\) | 0.858514 | − | 0.538592i | 0.0367410 | − | 0.0230496i | ||||
\(547\) | −14.8099 | − | 25.6514i | −0.633224 | − | 1.09678i | −0.986888 | − | 0.161404i | \(-0.948398\pi\) |
0.353664 | − | 0.935372i | \(-0.384936\pi\) | |||||||
\(548\) | 13.0288 | + | 2.59403i | 0.556562 | + | 0.110812i | ||||
\(549\) | 0.476267 | − | 13.9266i | 0.0203266 | − | 0.594374i | ||||
\(550\) | −0.676929 | + | 6.86662i | −0.0288643 | + | 0.292793i | ||||
\(551\) | 19.9586 | + | 34.5693i | 0.850265 | + | 1.47270i | ||||
\(552\) | 9.20561 | + | 17.9660i | 0.391817 | + | 0.764684i | ||||
\(553\) | 3.49448 | − | 31.7122i | 0.148601 | − | 1.34854i | ||||
\(554\) | 11.6608 | − | 16.2695i | 0.495421 | − | 0.691227i | ||||
\(555\) | −16.7889 | + | 16.2246i | −0.712650 | + | 0.688695i | ||||
\(556\) | 33.0481 | − | 11.2116i | 1.40155 | − | 0.475480i | ||||
\(557\) | 34.7745i | 1.47344i | 0.676197 | + | 0.736721i | \(0.263627\pi\) | ||||
−0.676197 | + | 0.736721i | \(0.736373\pi\) | |||||||
\(558\) | −0.241207 | + | 0.313340i | −0.0102111 | + | 0.0132647i | ||||
\(559\) | −0.201209 | −0.00851025 | ||||||||
\(560\) | −15.4383 | + | 9.34650i | −0.652389 | + | 0.394962i | ||||
\(561\) | 6.89894 | + | 27.6277i | 0.291274 | + | 1.16644i | ||||
\(562\) | 6.23549 | + | 4.46914i | 0.263028 | + | 0.188519i | ||||
\(563\) | 28.6370 | + | 16.5336i | 1.20691 | + | 0.696809i | 0.962082 | − | 0.272759i | \(-0.0879361\pi\) |
0.244825 | + | 0.969567i | \(0.421269\pi\) | |||||||
\(564\) | 4.41031 | − | 8.56694i | 0.185708 | − | 0.360733i | ||||
\(565\) | −2.59541 | − | 4.49538i | −0.109190 | − | 0.189122i | ||||
\(566\) | 2.27816 | + | 0.224587i | 0.0957582 | + | 0.00944010i | ||||
\(567\) | −23.4350 | − | 4.21897i | −0.984178 | − | 0.177180i | ||||
\(568\) | 33.4930 | + | 10.1699i | 1.40533 | + | 0.426719i | ||||
\(569\) | −10.5456 | − | 18.2655i | −0.442095 | − | 0.765731i | 0.555750 | − | 0.831350i | \(-0.312431\pi\) |
−0.997845 | + | 0.0656186i | \(0.979098\pi\) | |||||||
\(570\) | 10.7375 | − | 27.1068i | 0.449746 | − | 1.13538i | ||||
\(571\) | −12.1276 | + | 21.0056i | −0.507523 | + | 0.879055i | 0.492439 | + | 0.870347i | \(0.336105\pi\) |
−0.999962 | + | 0.00870832i | \(0.997228\pi\) | |||||||
\(572\) | −0.481053 | + | 0.548336i | −0.0201138 | + | 0.0229271i | ||||
\(573\) | −3.35397 | − | 13.4314i | −0.140114 | − | 0.561105i | ||||
\(574\) | 5.14691 | − | 5.73261i | 0.214828 | − | 0.239275i | ||||
\(575\) | − | 8.62034i | − | 0.359493i | ||||||
\(576\) | 9.86119 | + | 21.8805i | 0.410883 | + | 0.911688i | ||||
\(577\) | − | 36.7196i | − | 1.52866i | −0.644826 | − | 0.764329i | \(-0.723070\pi\) | ||
0.644826 | − | 0.764329i | \(-0.276930\pi\) | |||||||
\(578\) | 42.1149 | − | 19.0774i | 1.75175 | − | 0.793517i | ||||
\(579\) | 26.0034 | + | 26.9079i | 1.08067 | + | 1.11825i | ||||
\(580\) | −14.6620 | − | 12.8629i | −0.608807 | − | 0.534104i | ||||
\(581\) | 2.56428 | − | 23.2707i | 0.106384 | − | 0.965433i | ||||
\(582\) | 26.0091 | + | 32.8265i | 1.07811 | + | 1.36070i | ||||
\(583\) | −17.1984 | + | 9.92950i | −0.712285 | + | 0.411238i | ||||
\(584\) | 0.119310 | + | 0.0362276i | 0.00493708 | + | 0.00149911i | ||||
\(585\) | 0.0273438 | − | 0.799567i | 0.00113053 | − | 0.0330580i | ||||
\(586\) | −1.07288 | + | 10.8830i | −0.0443202 | + | 0.449575i | ||||
\(587\) | −32.4043 | + | 18.7087i | −1.33747 | + | 0.772189i | −0.986432 | − | 0.164172i | \(-0.947505\pi\) |
−0.351038 | + | 0.936361i | \(0.614171\pi\) | |||||||
\(588\) | 15.5271 | − | 18.6255i | 0.640327 | − | 0.768103i | ||||
\(589\) | 0.563395 | + | 0.325276i | 0.0232143 | + | 0.0134028i | ||||
\(590\) | −1.41746 | + | 1.97769i | −0.0583560 | + | 0.0814201i | ||||
\(591\) | 21.9018 | + | 6.27167i | 0.900918 | + | 0.257982i | ||||
\(592\) | −31.3494 | + | 4.11571i | −1.28845 | + | 0.169154i | ||||
\(593\) | − | 13.4184i | − | 0.551026i | −0.961297 | − | 0.275513i | \(-0.911152\pi\) | ||
0.961297 | − | 0.275513i | \(-0.0888477\pi\) | |||||||
\(594\) | 17.0305 | − | 1.91986i | 0.698770 | − | 0.0787729i | ||||
\(595\) | 29.1200 | − | 12.7899i | 1.19380 | − | 0.524334i | ||||
\(596\) | 22.8540 | − | 7.75327i | 0.936135 | − | 0.317586i | ||||
\(597\) | 7.27194 | − | 25.3948i | 0.297621 | − | 1.03934i | ||||
\(598\) | 0.530892 | − | 0.740717i | 0.0217098 | − | 0.0302902i | ||||
\(599\) | −8.15665 | − | 4.70925i | −0.333272 | − | 0.192415i | 0.324021 | − | 0.946050i | \(-0.394965\pi\) |
−0.657293 | + | 0.753635i | \(0.728298\pi\) | |||||||
\(600\) | 0.513116 | − | 10.2357i | 0.0209479 | − | 0.417869i | ||||
\(601\) | 18.4529 | − | 10.6538i | 0.752710 | − | 0.434577i | −0.0739624 | − | 0.997261i | \(-0.523564\pi\) |
0.826672 | + | 0.562684i | \(0.190231\pi\) | |||||||
\(602\) | −4.57646 | + | 1.49419i | −0.186522 | + | 0.0608985i | ||||
\(603\) | 14.7739 | − | 7.86911i | 0.601641 | − | 0.320455i | ||||
\(604\) | 6.53087 | − | 32.8019i | 0.265737 | − | 1.33469i | ||||
\(605\) | 4.74129 | + | 8.21216i | 0.192761 | + | 0.333872i | ||||
\(606\) | 0.481514 | − | 0.381513i | 0.0195602 | − | 0.0154979i | ||||
\(607\) | −16.3125 | + | 28.2540i | −0.662103 | + | 1.14680i | 0.317960 | + | 0.948104i | \(0.397002\pi\) |
−0.980062 | + | 0.198691i | \(0.936331\pi\) | |||||||
\(608\) | 33.5398 | − | 20.8354i | 1.36022 | − | 0.844987i | ||||
\(609\) | 24.2526 | + | 9.93069i | 0.982765 | + | 0.402412i | ||||
\(610\) | 10.2039 | − | 4.62220i | 0.413142 | − | 0.187147i | ||||
\(611\) | −0.434983 | −0.0175975 | ||||||||
\(612\) | −12.2114 | − | 40.4946i | −0.493617 | − | 1.63690i | ||||
\(613\) | − | 43.3004i | − | 1.74889i | −0.485129 | − | 0.874443i | \(-0.661227\pi\) | ||
0.485129 | − | 0.874443i | \(-0.338773\pi\) | |||||||
\(614\) | −11.2350 | − | 24.8021i | −0.453408 | − | 1.00093i | ||||
\(615\) | −1.47341 | − | 5.90044i | −0.0594135 | − | 0.237929i | ||||
\(616\) | −6.86947 | + | 16.0441i | −0.276779 | + | 0.646435i | ||||
\(617\) | −9.24430 | + | 16.0116i | −0.372162 | + | 0.644603i | −0.989898 | − | 0.141783i | \(-0.954717\pi\) |
0.617736 | + | 0.786385i | \(0.288050\pi\) | |||||||
\(618\) | 28.6048 | + | 11.3309i | 1.15065 | + | 0.455797i | ||||
\(619\) | 3.89488 | − | 2.24871i | 0.156549 | − | 0.0903833i | −0.419679 | − | 0.907672i | \(-0.637857\pi\) |
0.576228 | + | 0.817289i | \(0.304524\pi\) | |||||||
\(620\) | −0.311758 | − | 0.0620711i | −0.0125205 | − | 0.00249284i | ||||
\(621\) | −20.9390 | + | 4.47441i | −0.840252 | + | 0.179552i | ||||
\(622\) | 2.59319 | − | 26.3047i | 0.103977 | − | 1.05472i | ||||
\(623\) | −22.5787 | − | 16.5786i | −0.904597 | − | 0.664207i | ||||
\(624\) | 0.674463 | − | 0.847915i | 0.0270001 | − | 0.0339438i | ||||
\(625\) | 5.08191 | − | 8.80213i | 0.203276 | − | 0.352085i | ||||
\(626\) | 5.83243 | − | 8.13760i | 0.233111 | − | 0.325244i | ||||
\(627\) | −6.83108 | − | 27.3559i | −0.272807 | − | 1.09249i | ||||
\(628\) | 11.7123 | + | 34.5237i | 0.467371 | + | 1.37765i | ||||
\(629\) | 55.7219 | 2.22178 | ||||||||
\(630\) | −5.31568 | − | 18.3890i | −0.211782 | − | 0.732635i | ||||
\(631\) | − | 7.16821i | − | 0.285362i | −0.989769 | − | 0.142681i | \(-0.954428\pi\) | ||
0.989769 | − | 0.142681i | \(-0.0455723\pi\) | |||||||
\(632\) | −7.73590 | − | 33.2181i | −0.307717 | − | 1.32135i | ||||
\(633\) | −4.38668 | − | 4.53927i | −0.174355 | − | 0.180420i | ||||
\(634\) | 6.55482 | − | 9.14549i | 0.260325 | − | 0.363214i | ||||
\(635\) | 2.47675 | + | 1.42995i | 0.0982866 | + | 0.0567458i | ||||
\(636\) | 24.8051 | − | 15.9615i | 0.983586 | − | 0.632915i | ||||
\(637\) | −1.06841 | − | 0.238358i | −0.0423320 | − | 0.00944409i | ||||
\(638\) | −18.7713 | − | 1.85053i | −0.743164 | − | 0.0732631i | ||||
\(639\) | −19.6512 | + | 31.4990i | −0.777389 | + | 1.24608i | ||||
\(640\) | −12.2489 | + | 14.9061i | −0.484181 | + | 0.589216i | ||||
\(641\) | −3.94787 | − | 6.83792i | −0.155932 | − | 0.270081i | 0.777466 | − | 0.628925i | \(-0.216505\pi\) |
−0.933398 | + | 0.358843i | \(0.883171\pi\) | |||||||
\(642\) | 2.60981 | + | 17.6939i | 0.103001 | + | 0.698323i | ||||
\(643\) | −1.91190 | − | 1.10384i | −0.0753981 | − | 0.0435311i | 0.461827 | − | 0.886970i | \(-0.347194\pi\) |
−0.537225 | + | 0.843439i | \(0.680527\pi\) | |||||||
\(644\) | 6.57441 | − | 20.7899i | 0.259068 | − | 0.819235i | ||||
\(645\) | −1.04619 | + | 3.65348i | −0.0411938 | + | 0.143856i | ||||
\(646\) | −63.3847 | + | 28.7124i | −2.49384 | + | 1.12967i | ||||
\(647\) | 15.2484 | 0.599477 | 0.299739 | − | 0.954021i | \(-0.403101\pi\) | ||||
0.299739 | + | 0.954021i | \(0.403101\pi\) | |||||||
\(648\) | −25.1289 | + | 4.06648i | −0.987158 | + | 0.159746i | ||||
\(649\) | 2.35307i | 0.0923662i | ||||||||
\(650\) | −0.421433 | + | 0.190903i | −0.0165300 | + | 0.00748784i | ||||
\(651\) | 0.423226 | − | 0.0574663i | 0.0165875 | − | 0.00225228i | ||||
\(652\) | −16.3809 | + | 18.6720i | −0.641525 | + | 0.731253i | ||||
\(653\) | 19.3833 | + | 11.1909i | 0.758526 | + | 0.437935i | 0.828766 | − | 0.559595i | \(-0.189043\pi\) |
−0.0702401 | + | 0.997530i | \(0.522377\pi\) | |||||||
\(654\) | 40.2647 | − | 5.93895i | 1.57447 | − | 0.232231i | ||||
\(655\) | 15.8714 | − | 9.16335i | 0.620147 | − | 0.358042i | ||||
\(656\) | 3.15455 | − | 7.60798i | 0.123164 | − | 0.297042i | ||||
\(657\) | −0.0700021 | + | 0.112207i | −0.00273104 | + | 0.00437761i | ||||
\(658\) | −9.89359 | + | 3.23020i | −0.385692 | + | 0.125926i | ||||
\(659\) | −0.155016 | − | 0.268496i | −0.00603858 | − | 0.0104591i | 0.862990 | − | 0.505220i | \(-0.168589\pi\) |
−0.869029 | + | 0.494761i | \(0.835255\pi\) | |||||||
\(660\) | 7.45524 | + | 11.5859i | 0.290195 | + | 0.450979i | ||||
\(661\) | 12.5267 | − | 21.6969i | 0.487232 | − | 0.843911i | −0.512660 | − | 0.858592i | \(-0.671340\pi\) |
0.999892 | + | 0.0146804i | \(0.00467310\pi\) | |||||||
\(662\) | 2.18885 | + | 1.56881i | 0.0850722 | + | 0.0609735i | ||||
\(663\) | −1.37302 | + | 1.32687i | −0.0533237 | + | 0.0515313i | ||||
\(664\) | −5.67667 | − | 24.3758i | −0.220298 | − | 0.945963i | ||||
\(665\) | −28.8335 | + | 12.6641i | −1.11812 | + | 0.491092i | ||||
\(666\) | 4.42892 | − | 33.2426i | 0.171617 | − | 1.28813i | ||||
\(667\) | 23.5655 | 0.912461 | ||||||||
\(668\) | 13.5236 | + | 39.8629i | 0.523244 | + | 1.54234i | ||||
\(669\) | −23.5493 | + | 5.88053i | −0.910469 | + | 0.227354i | ||||
\(670\) | 10.9371 | + | 7.83890i | 0.422536 | + | 0.302843i | ||||
\(671\) | 5.41653 | − | 9.38171i | 0.209103 | − | 0.362177i | ||||
\(672\) | 9.04384 | − | 24.2942i | 0.348874 | − | 0.937170i | ||||
\(673\) | 2.40246 | + | 4.16118i | 0.0926080 | + | 0.160402i | 0.908608 | − | 0.417650i | \(-0.137146\pi\) |
−0.816000 | + | 0.578052i | \(0.803813\pi\) | |||||||
\(674\) | −0.524866 | + | 5.32412i | −0.0202171 | + | 0.205078i | ||||
\(675\) | 10.3418 | + | 3.34788i | 0.398056 | + | 0.128860i | ||||
\(676\) | 25.4515 | + | 5.06740i | 0.978905 | + | 0.194900i | ||||
\(677\) | −19.1231 | − | 33.1221i | −0.734959 | − | 1.27299i | −0.954741 | − | 0.297437i | \(-0.903868\pi\) |
0.219782 | − | 0.975549i | \(-0.429465\pi\) | |||||||
\(678\) | 6.93205 | + | 2.74592i | 0.266224 | + | 0.105456i | ||||
\(679\) | 4.95484 | − | 44.9649i | 0.190149 | − | 1.72560i | ||||
\(680\) | 24.8223 | − | 23.2360i | 0.951893 | − | 0.891061i | ||||
\(681\) | 3.57112 | + | 14.3010i | 0.136846 | + | 0.548016i | ||||
\(682\) | −0.280020 | + | 0.126845i | −0.0107225 | + | 0.00485714i | ||||
\(683\) | 5.79588 | 0.221773 | 0.110887 | − | 0.993833i | \(-0.464631\pi\) | ||||
0.110887 | + | 0.993833i | \(0.464631\pi\) | |||||||
\(684\) | 12.0913 | + | 40.0963i | 0.462322 | + | 1.53312i | ||||
\(685\) | −11.3270 | −0.432783 | ||||||||
\(686\) | −26.0708 | + | 2.51266i | −0.995388 | + | 0.0959338i | ||||
\(687\) | 18.9122 | + | 19.5700i | 0.721545 | + | 0.746643i | ||||
\(688\) | −4.08420 | + | 3.13158i | −0.155709 | + | 0.119390i | ||||
\(689\) | −1.15320 | − | 0.665798i | −0.0439332 | − | 0.0253649i | ||||
\(690\) | −10.6893 | − | 13.4911i | −0.406934 | − | 0.513598i | ||||
\(691\) | −1.16532 | + | 0.672797i | −0.0443308 | + | 0.0255944i | −0.522002 | − | 0.852945i | \(-0.674815\pi\) |
0.477671 | + | 0.878539i | \(0.341481\pi\) | |||||||
\(692\) | −44.1835 | − | 8.79694i | −1.67961 | − | 0.334410i | ||||
\(693\) | −14.5381 | − | 11.4596i | −0.552255 | − | 0.435315i | ||||
\(694\) | −1.17975 | + | 11.9671i | −0.0447827 | + | 0.454266i | ||||
\(695\) | −25.7692 | + | 14.8779i | −0.977483 | + | 0.564350i | ||||
\(696\) | 27.9813 | + | 1.40271i | 1.06063 | + | 0.0531696i | ||||
\(697\) | −7.25730 | + | 12.5700i | −0.274890 | + | 0.476123i | ||||
\(698\) | 4.95084 | + | 3.54840i | 0.187392 | + | 0.134309i | ||||
\(699\) | 11.5525 | − | 40.3434i | 0.436957 | − | 1.52593i | ||||
\(700\) | −8.16775 | + | 7.47163i | −0.308712 | + | 0.282401i | ||||
\(701\) | 28.9430i | 1.09316i | 0.837407 | + | 0.546580i | \(0.184071\pi\) | ||||
−0.837407 | + | 0.546580i | \(0.815929\pi\) | |||||||
\(702\) | 0.682454 | + | 0.924581i | 0.0257576 | + | 0.0348961i | ||||
\(703\) | −55.1737 | −2.08092 | ||||||||
\(704\) | −1.23037 | + | 18.6173i | −0.0463714 | + | 0.701665i | ||||
\(705\) | −2.26171 | + | 7.89826i | −0.0851808 | + | 0.297466i | ||||
\(706\) | −29.9185 | + | 41.7433i | −1.12600 | + | 1.57103i | ||||
\(707\) | −0.659566 | − | 0.0726799i | −0.0248055 | − | 0.00273341i | ||||
\(708\) | −0.168315 | − | 3.49099i | −0.00632567 | − | 0.131200i | ||||
\(709\) | 11.9231 | − | 6.88378i | 0.447780 | − | 0.258526i | −0.259112 | − | 0.965847i | \(-0.583430\pi\) |
0.706892 | + | 0.707321i | \(0.250097\pi\) | |||||||
\(710\) | −29.7012 | − | 2.92802i | −1.11467 | − | 0.109887i | ||||
\(711\) | 36.1548 | + | 1.23643i | 1.35591 | + | 0.0463698i | ||||
\(712\) | −28.6538 | − | 8.70051i | −1.07385 | − | 0.326066i | ||||
\(713\) | 0.332606 | − | 0.192030i | 0.0124562 | − | 0.00719158i | ||||
\(714\) | −21.3756 | + | 40.3754i | −0.799963 | + | 1.51101i | ||||
\(715\) | 0.310978 | − | 0.538630i | 0.0116299 | − | 0.0201436i | ||||
\(716\) | −7.61774 | + | 8.68320i | −0.284688 | + | 0.324506i | ||||
\(717\) | −12.4034 | + | 11.9865i | −0.463213 | + | 0.447643i | ||||
\(718\) | −6.09823 | − | 13.4623i | −0.227584 | − | 0.502409i | ||||
\(719\) | 35.9954 | 1.34240 | 0.671202 | − | 0.741275i | \(-0.265778\pi\) | ||||
0.671202 | + | 0.741275i | \(0.265778\pi\) | |||||||
\(720\) | −11.8892 | − | 16.6554i | −0.443086 | − | 0.620710i | ||||
\(721\) | −13.3640 | − | 30.4270i | −0.497700 | − | 1.13316i | ||||
\(722\) | 38.2853 | − | 17.3427i | 1.42483 | − | 0.645427i | ||||
\(723\) | −5.69887 | − | 22.8218i | −0.211943 | − | 0.848753i | ||||
\(724\) | −14.5609 | + | 16.5975i | −0.541152 | + | 0.616841i | ||||
\(725\) | −10.3608 | − | 5.98181i | −0.384791 | − | 0.222159i | ||||
\(726\) | −12.6635 | − | 5.01625i | −0.469985 | − | 0.186171i | ||||
\(727\) | −13.0085 | − | 22.5313i | −0.482457 | − | 0.835640i | 0.517340 | − | 0.855780i | \(-0.326922\pi\) |
−0.999797 | + | 0.0201397i | \(0.993589\pi\) | |||||||
\(728\) | −1.16197 | + | 0.138994i | −0.0430656 | + | 0.00515145i | ||||
\(729\) | 2.76413 | − | 26.8581i | 0.102375 | − | 0.994746i | ||||
\(730\) | −0.105803 | − | 0.0104303i | −0.00391593 | − | 0.000386043i | ||||
\(731\) | 7.85483 | − | 4.53499i | 0.290521 | − | 0.167733i | ||||
\(732\) | −7.36484 | + | 14.3061i | −0.272212 | + | 0.528767i | ||||
\(733\) | 4.82860 | − | 8.36339i | 0.178349 | − | 0.308909i | −0.762966 | − | 0.646438i | \(-0.776258\pi\) |
0.941315 | + | 0.337529i | \(0.109591\pi\) | |||||||
\(734\) | 18.2995 | + | 13.1158i | 0.675449 | + | 0.484112i | ||||
\(735\) | −9.88325 | + | 18.1605i | −0.364549 | + | 0.669858i | ||||
\(736\) | −0.752166 | − | 23.2980i | −0.0277252 | − | 0.858775i | ||||
\(737\) | 13.0131 | 0.479342 | ||||||||
\(738\) | 6.92221 | + | 5.32867i | 0.254810 | + | 0.196151i | ||||
\(739\) | 15.3510 | 0.564696 | 0.282348 | − | 0.959312i | \(-0.408887\pi\) | ||||
0.282348 | + | 0.959312i | \(0.408887\pi\) | |||||||
\(740\) | 25.5302 | − | 8.66119i | 0.938508 | − | 0.318392i | ||||
\(741\) | 1.35951 | − | 1.31382i | 0.0499430 | − | 0.0482642i | ||||
\(742\) | −31.1734 | − | 6.57973i | −1.14441 | − | 0.241550i | ||||
\(743\) | 25.3821 | + | 14.6543i | 0.931178 | + | 0.537616i | 0.887184 | − | 0.461416i | \(-0.152658\pi\) |
0.0439942 | + | 0.999032i | \(0.485992\pi\) | |||||||
\(744\) | 0.406361 | − | 0.208216i | 0.0148979 | − | 0.00763355i | ||||
\(745\) | −17.8204 | + | 10.2886i | −0.652889 | + | 0.376945i | ||||
\(746\) | −27.1703 | − | 2.67852i | −0.994774 | − | 0.0980674i | ||||
\(747\) | 26.5307 | + | 0.907305i | 0.970709 | + | 0.0331966i | ||||
\(748\) | 6.42064 | − | 32.2483i | 0.234762 | − | 1.17912i | ||||
\(749\) | 11.4335 | − | 15.5716i | 0.417772 | − | 0.568973i | ||||
\(750\) | 4.32269 | + | 29.3068i | 0.157842 | + | 1.07013i | ||||
\(751\) | 20.0404 | + | 11.5703i | 0.731283 | + | 0.422207i | 0.818891 | − | 0.573948i | \(-0.194589\pi\) |
−0.0876082 | + | 0.996155i | \(0.527922\pi\) | |||||||
\(752\) | −8.82941 | + | 6.76998i | −0.321976 | + | 0.246876i | ||||
\(753\) | 38.0110 | + | 10.8846i | 1.38520 | + | 0.396658i | ||||
\(754\) | −0.521874 | − | 1.15208i | −0.0190055 | − | 0.0419562i | ||||
\(755\) | 28.5174i | 1.03786i | ||||||||
\(756\) | 22.3882 | + | 15.9614i | 0.814252 | + | 0.580512i | ||||
\(757\) | 34.9114i | 1.26888i | 0.772974 | + | 0.634438i | \(0.218768\pi\) | ||||
−0.772974 | + | 0.634438i | \(0.781232\pi\) | |||||||
\(758\) | −41.0217 | + | 18.5822i | −1.48998 | + | 0.674937i | ||||
\(759\) | −16.0026 | − | 4.58241i | −0.580856 | − | 0.166331i | ||||
\(760\) | −24.5782 | + | 23.0075i | −0.891543 | + | 0.834568i | ||||
\(761\) | −24.0170 | − | 13.8662i | −0.870617 | − | 0.502651i | −0.00306388 | − | 0.999995i | \(-0.500975\pi\) |
−0.867553 | + | 0.497344i | \(0.834309\pi\) | |||||||
\(762\) | −4.06400 | + | 0.599430i | −0.147223 | + | 0.0217151i | ||||
\(763\) | −35.4350 | − | 26.0184i | −1.28283 | − | 0.941931i | ||||
\(764\) | −3.12144 | + | 15.6778i | −0.112930 | + | 0.567202i | ||||
\(765\) | 16.9537 | + | 31.8299i | 0.612963 | + | 1.15081i | ||||
\(766\) | −4.52282 | + | 45.8785i | −0.163416 | + | 1.65766i | ||||
\(767\) | −0.136641 | + | 0.0788897i | −0.00493382 | + | 0.00284854i | ||||
\(768\) | 0.493675 | − | 27.7084i | 0.0178139 | − | 0.999841i | ||||
\(769\) | 22.2777 | + | 12.8621i | 0.803356 | + | 0.463818i | 0.844643 | − | 0.535330i | \(-0.179813\pi\) |
−0.0412873 | + | 0.999147i | \(0.513146\pi\) | |||||||
\(770\) | 3.07324 | − | 14.5603i | 0.110752 | − | 0.524718i | ||||
\(771\) | −26.7495 | + | 25.8503i | −0.963358 | + | 0.930976i | ||||
\(772\) | −13.8814 | − | 40.9177i | −0.499604 | − | 1.47266i | ||||
\(773\) | 2.62966 | 0.0945822 | 0.0472911 | − | 0.998881i | \(-0.484941\pi\) | ||||
0.0472911 | + | 0.998881i | \(0.484941\pi\) | |||||||
\(774\) | −2.08117 | − | 5.04650i | −0.0748061 | − | 0.181393i | ||||
\(775\) | −0.194978 | −0.00700381 | ||||||||
\(776\) | −10.9688 | − | 47.1002i | −0.393756 | − | 1.69080i | ||||
\(777\) | −28.6483 | + | 22.1678i | −1.02775 | + | 0.795266i | ||||
\(778\) | 26.7274 | − | 37.2910i | 0.958224 | − | 1.33695i | ||||
\(779\) | 7.18591 | − | 12.4464i | 0.257462 | − | 0.445937i | ||||
\(780\) | −0.422836 | + | 0.821350i | −0.0151399 | + | 0.0294090i | ||||
\(781\) | −24.9956 | + | 14.4312i | −0.894412 | + | 0.516389i | ||||
\(782\) | −4.03023 | + | 40.8818i | −0.144121 | + | 1.46193i | ||||
\(783\) | −9.15213 | + | 28.2715i | −0.327071 | + | 1.01034i | ||||
\(784\) | −25.3967 | + | 11.7902i | −0.907023 | + | 0.421080i | ||||
\(785\) | −15.5422 | − | 26.9199i | −0.554725 | − | 0.960813i | ||||
\(786\) | −9.69476 | + | 24.4743i | −0.345801 | + | 0.872970i | ||||
\(787\) | −39.9887 | − | 23.0875i | −1.42544 | − | 0.822980i | −0.428687 | − | 0.903453i | \(-0.641024\pi\) |
−0.996757 | + | 0.0804729i | \(0.974357\pi\) | |||||||
\(788\) | −19.7751 | − | 17.3486i | −0.704458 | − | 0.618018i | ||||
\(789\) | 7.25973 | + | 29.0725i | 0.258453 | + | 1.03501i | ||||
\(790\) | 11.9997 | + | 26.4902i | 0.426928 | + | 0.942478i | ||||
\(791\) | −3.23860 | − | 7.37363i | −0.115151 | − | 0.262176i | ||||
\(792\) | −18.7284 | − | 6.39361i | −0.665485 | − | 0.227187i | ||||
\(793\) | 0.726384 | 0.0257947 | ||||||||
\(794\) | −33.8066 | + | 15.3139i | −1.19975 | + | 0.543469i | ||||
\(795\) | −18.0854 | + | 17.4775i | −0.641422 | + | 0.619862i | ||||
\(796\) | −20.1155 | + | 22.9290i | −0.712975 | + | 0.812696i | ||||
\(797\) | −11.9083 | + | 20.6257i | −0.421812 | + | 0.730600i | −0.996117 | − | 0.0880418i | \(-0.971939\pi\) |
0.574305 | + | 0.818642i | \(0.305272\pi\) | |||||||
\(798\) | 21.1654 | − | 39.9782i | 0.749246 | − | 1.41521i | ||||
\(799\) | 16.9809 | − | 9.80394i | 0.600742 | − | 0.346839i | ||||
\(800\) | −5.58320 | + | 10.4341i | −0.197396 | + | 0.368901i | ||||
\(801\) | 16.8119 | − | 26.9479i | 0.594020 | − | 0.952159i | ||||
\(802\) | 1.10184 | − | 11.1768i | 0.0389074 | − | 0.394668i | ||||
\(803\) | −0.0890401 | + | 0.0514073i | −0.00314216 | + | 0.00181413i | ||||
\(804\) | −19.3060 | + | 0.930822i | −0.680871 | + | 0.0328276i | ||||
\(805\) | −2.03635 | + | 18.4798i | −0.0717720 | + | 0.651327i | ||||
\(806\) | −0.0167538 | − | 0.0120079i | −0.000590127 | − | 0.000422960i | ||||
\(807\) | −3.68986 | + | 12.8856i | −0.129889 | + | 0.453596i | ||||
\(808\) | −0.690886 | + | 0.160895i | −0.0243053 | + | 0.00566026i | ||||
\(809\) | 35.3210 | 1.24182 | 0.620910 | − | 0.783882i | \(-0.286763\pi\) | ||||
0.620910 | + | 0.783882i | \(0.286763\pi\) | |||||||
\(810\) | 20.3366 | − | 7.58435i | 0.714556 | − | 0.266487i | ||||
\(811\) | 33.1297i | 1.16334i | 0.813424 | + | 0.581671i | \(0.197601\pi\) | ||||
−0.813424 | + | 0.581671i | \(0.802399\pi\) | |||||||
\(812\) | −20.4253 | − | 22.3283i | −0.716786 | − | 0.783568i | ||||
\(813\) | −3.58932 | + | 12.5345i | −0.125883 | + | 0.439604i | ||||
\(814\) | 15.1880 | − | 21.1908i | 0.532340 | − | 0.742739i | ||||
\(815\) | 10.5895 | − | 18.3415i | 0.370933 | − | 0.642475i | ||||
\(816\) | −7.21888 | + | 48.3025i | −0.252711 | + | 1.69093i | ||||
\(817\) | −7.77756 | + | 4.49038i | −0.272103 | + | 0.157098i | ||||
\(818\) | 38.3349 | + | 3.77915i | 1.34035 | + | 0.132135i | ||||
\(819\) | 0.178043 | − | 1.22841i | 0.00622134 | − | 0.0429241i | ||||
\(820\) | −1.37126 | + | 6.88727i | −0.0478863 | + | 0.240514i | ||||
\(821\) | 17.5369 | − | 10.1250i | 0.612043 | − | 0.353363i | −0.161721 | − | 0.986836i | \(-0.551705\pi\) |
0.773765 | + | 0.633473i | \(0.218371\pi\) | |||||||
\(822\) | 12.7525 | − | 10.1040i | 0.444794 | − | 0.352419i | ||||
\(823\) | −9.88368 | − | 5.70635i | −0.344524 | − | 0.198911i | 0.317747 | − | 0.948176i | \(-0.397074\pi\) |
−0.662271 | + | 0.749265i | \(0.730407\pi\) | |||||||
\(824\) | −24.2790 | − | 25.9365i | −0.845798 | − | 0.903539i | ||||
\(825\) | 5.87249 | + | 6.07675i | 0.204454 | + | 0.211565i | ||||
\(826\) | −2.52203 | + | 2.80903i | −0.0877526 | + | 0.0977386i | ||||
\(827\) | −33.7568 | −1.17384 | −0.586919 | − | 0.809645i | \(-0.699659\pi\) | ||||
−0.586919 | + | 0.809645i | \(0.699659\pi\) | |||||||
\(828\) | 24.0690 | + | 5.65375i | 0.836455 | + | 0.196482i | ||||
\(829\) | −20.1138 | −0.698583 | −0.349291 | − | 0.937014i | \(-0.613578\pi\) | ||||
−0.349291 | + | 0.937014i | \(0.613578\pi\) | |||||||
\(830\) | 8.80545 | + | 19.4387i | 0.305642 | + | 0.674728i | ||||
\(831\) | −5.93942 | − | 23.7851i | −0.206036 | − | 0.825097i | ||||
\(832\) | −1.12234 | + | 0.552721i | −0.0389101 | + | 0.0191622i | ||||
\(833\) | 47.0810 | − | 14.7755i | 1.63126 | − | 0.511941i | ||||
\(834\) | 15.7407 | − | 39.7372i | 0.545055 | − | 1.37599i | ||||
\(835\) | −17.9458 | − | 31.0831i | −0.621041 | − | 1.07568i | ||||
\(836\) | −6.35748 | + | 31.9311i | −0.219878 | + | 1.10436i | ||||
\(837\) | 0.101204 | + | 0.473605i | 0.00349811 | + | 0.0163702i | ||||
\(838\) | 45.8702 | + | 4.52200i | 1.58456 | + | 0.156210i | ||||
\(839\) | 2.60470 | + | 4.51147i | 0.0899242 | + | 0.155753i | 0.907479 | − | 0.420098i | \(-0.138004\pi\) |
−0.817555 | + | 0.575851i | \(0.804671\pi\) | |||||||
\(840\) | −3.51792 | + | 21.8214i | −0.121380 | + | 0.752910i | ||||
\(841\) | 1.85254 | − | 3.20870i | 0.0638808 | − | 0.110645i | ||||
\(842\) | −14.7057 | + | 20.5178i | −0.506791 | + | 0.707091i | ||||
\(843\) | 9.11593 | − | 2.27635i | 0.313969 | − | 0.0784017i | ||||
\(844\) | 2.34175 | + | 6.90267i | 0.0806063 | + | 0.237600i | ||||
\(845\) | −22.1271 | −0.761197 | ||||||||
\(846\) | −4.49916 | − | 10.9097i | −0.154684 | − | 0.375085i | ||||
\(847\) | 5.91628 | + | 13.4701i | 0.203286 | + | 0.462840i | ||||
\(848\) | −33.7702 | + | 4.43352i | −1.15967 | + | 0.152248i | ||||
\(849\) | 2.01610 | − | 1.94834i | 0.0691925 | − | 0.0668667i | ||||
\(850\) | 12.1493 | − | 16.9511i | 0.416716 | − | 0.581416i | ||||
\(851\) | −16.2862 | + | 28.2085i | −0.558283 | + | 0.966975i | ||||
\(852\) | 36.0509 | − | 23.1979i | 1.23508 | − | 0.794747i | ||||
\(853\) | 8.76786 | + | 15.1864i | 0.300206 | + | 0.519972i | 0.976182 | − | 0.216951i | \(-0.0696113\pi\) |
−0.675977 | + | 0.736923i | \(0.736278\pi\) | |||||||
\(854\) | 16.5214 | − | 5.39416i | 0.565352 | − | 0.184584i | ||||
\(855\) | −16.7869 | − | 31.5168i | −0.574101 | − | 1.07785i | ||||
\(856\) | 6.00037 | − | 19.7613i | 0.205089 | − | 0.675428i | ||||
\(857\) | 3.62766 | − | 2.09443i | 0.123918 | − | 0.0715444i | −0.436759 | − | 0.899578i | \(-0.643874\pi\) |
0.560678 | + | 0.828034i | \(0.310541\pi\) | |||||||
\(858\) | 0.130361 | + | 0.883817i | 0.00445045 | + | 0.0301730i | ||||
\(859\) | −27.1230 | − | 15.6595i | −0.925426 | − | 0.534295i | −0.0400638 | − | 0.999197i | \(-0.512756\pi\) |
−0.885362 | + | 0.464902i | \(0.846089\pi\) | |||||||
\(860\) | 2.89396 | − | 3.29873i | 0.0986832 | − | 0.112486i | ||||
\(861\) | −1.26953 | − | 9.34979i | −0.0432654 | − | 0.318640i | ||||
\(862\) | 16.1901 | + | 35.7409i | 0.551437 | + | 1.21734i | ||||
\(863\) | 10.5571i | 0.359368i | 0.983724 | + | 0.179684i | \(0.0575075\pi\) | ||||
−0.983724 | + | 0.179684i | \(0.942492\pi\) | |||||||
\(864\) | 28.2426 | + | 8.14586i | 0.960833 | + | 0.277128i | ||||
\(865\) | 38.4124 | 1.30606 | ||||||||
\(866\) | −15.4396 | − | 34.0842i | −0.524660 | − | 1.15823i | ||||
\(867\) | 15.5884 | − | 54.4373i | 0.529410 | − | 1.84879i | ||||
\(868\) | −0.470232 | − | 0.148702i | −0.0159607 | − | 0.00504728i | ||||
\(869\) | 24.3558 | + | 14.0618i | 0.826214 | + | 0.477015i | ||||
\(870\) | −23.6325 | + | 3.48574i | −0.801216 | + | 0.118178i | ||||
\(871\) | 0.436279 | + | 0.755657i | 0.0147827 | + | 0.0256045i | ||||
\(872\) | −44.9693 | − | 13.6546i | −1.52285 | − | 0.462403i | ||||
\(873\) | 51.2641 | + | 1.75314i | 1.73503 | + | 0.0593349i | ||||
\(874\) | 3.99059 | − | 40.4797i | 0.134984 | − | 1.36924i | ||||
\(875\) | 18.9376 | − | 25.7915i | 0.640209 | − | 0.871913i | ||||
\(876\) | 0.128422 | − | 0.0826364i | 0.00433897 | − | 0.00279202i | ||||
\(877\) | 36.2637 | + | 20.9368i | 1.22454 | + | 0.706987i | 0.965882 | − | 0.258983i | \(-0.0833873\pi\) |
0.258655 | + | 0.965970i | \(0.416721\pi\) | |||||||
\(878\) | 4.46490 | + | 3.20011i | 0.150683 | + | 0.107998i | ||||
\(879\) | 9.30743 | + | 9.63117i | 0.313932 | + | 0.324851i | ||||
\(880\) | −2.07079 | − | 15.7733i | −0.0698064 | − | 0.531717i | ||||
\(881\) | 18.8874i | 0.636333i | 0.948035 | + | 0.318166i | \(0.103067\pi\) | ||||
−0.948035 | + | 0.318166i | \(0.896933\pi\) | |||||||
\(882\) | −5.07267 | − | 29.2621i | −0.170806 | − | 0.985305i | ||||
\(883\) | −13.2644 | −0.446381 | −0.223190 | − | 0.974775i | \(-0.571647\pi\) | ||||
−0.223190 | + | 0.974775i | \(0.571647\pi\) | |||||||
\(884\) | 2.08789 | − | 0.708323i | 0.0702234 | − | 0.0238235i | ||||
\(885\) | 0.721982 | + | 2.89127i | 0.0242691 | + | 0.0971888i | ||||
\(886\) | −7.66916 | − | 5.49669i | −0.257651 | − | 0.184665i | ||||
\(887\) | −15.4053 | + | 26.6828i | −0.517260 | + | 0.895920i | 0.482539 | + | 0.875874i | \(0.339714\pi\) |
−0.999799 | + | 0.0200457i | \(0.993619\pi\) | |||||||
\(888\) | −21.0170 | + | 32.5249i | −0.705285 | + | 1.09146i | ||||
\(889\) | 3.57653 | + | 2.62609i | 0.119953 | + | 0.0880764i | ||||
\(890\) | 25.4099 | + | 2.50497i | 0.851741 | + | 0.0839668i | ||||
\(891\) | 11.7124 | − | 17.4185i | 0.392380 | − | 0.583543i | ||||
\(892\) | 27.4879 | + | 5.47284i | 0.920362 | + | 0.183244i | ||||
\(893\) | −16.8139 | + | 9.70750i | −0.562655 | + | 0.324849i | ||||
\(894\) | 10.8853 | − | 27.4797i | 0.364058 | − | 0.919060i | ||||
\(895\) | 4.92451 | − | 8.52950i | 0.164608 | − | 0.285110i | ||||
\(896\) | −21.4228 | + | 20.9060i | −0.715686 | + | 0.698422i | ||||
\(897\) | −0.270409 | − | 1.08289i | −0.00902869 | − | 0.0361565i | ||||
\(898\) | 8.61092 | − | 3.90062i | 0.287350 | − | 0.130165i | ||||
\(899\) | − | 0.533013i | − | 0.0177770i | ||||||
\(900\) | −9.14703 | − | 8.59534i | −0.304901 | − | 0.286511i | ||||
\(901\) | 60.0248 | 1.99972 | ||||||||
\(902\) | 2.80222 | + | 6.18612i | 0.0933037 | + | 0.205975i | ||||
\(903\) | −2.23425 | + | 5.45646i | −0.0743512 | + | 0.181580i | ||||
\(904\) | −5.88372 | − | 6.28540i | −0.195690 | − | 0.209049i | ||||
\(905\) | 9.41295 | − | 16.3037i | 0.312897 | − | 0.541953i | ||||
\(906\) | −25.4384 | − | 32.1063i | −0.845136 | − | 1.06666i | ||||
\(907\) | −10.5936 | − | 18.3487i | −0.351756 | − | 0.609260i | 0.634801 | − | 0.772676i | \(-0.281082\pi\) |
−0.986557 | + | 0.163416i | \(0.947749\pi\) | |||||||
\(908\) | 3.32354 | − | 16.6928i | 0.110296 | − | 0.553970i | ||||
\(909\) | 0.0257159 | − | 0.751965i | 0.000852942 | − | 0.0249411i | ||||
\(910\) | 0.948541 | − | 0.309693i | 0.0314438 | − | 0.0102662i | ||||
\(911\) | 11.6648 | − | 6.73469i | 0.386473 | − | 0.223130i | −0.294158 | − | 0.955757i | \(-0.595039\pi\) |
0.680631 | + | 0.732627i | \(0.261706\pi\) | |||||||
\(912\) | 7.14787 | − | 47.8274i | 0.236690 | − | 1.58372i | ||||
\(913\) | 17.8725 | + | 10.3187i | 0.591493 | + | 0.341499i | ||||
\(914\) | −8.31643 | − | 5.96060i | −0.275083 | − | 0.197159i | ||||
\(915\) | 3.77685 | − | 13.1894i | 0.124859 | − | 0.436029i | ||||
\(916\) | −10.0959 | − | 29.7593i | −0.333579 | − | 0.983274i | ||||
\(917\) | 26.0334 | − | 11.4342i | 0.859697 | − | 0.377591i | ||||
\(918\) | −47.4805 | − | 20.7123i | −1.56709 | − | 0.683608i | ||||
\(919\) | 6.58757i | 0.217304i | 0.994080 | + | 0.108652i | \(0.0346534\pi\) | ||||
−0.994080 | + | 0.108652i | \(0.965347\pi\) | |||||||
\(920\) | 4.50797 | + | 19.3573i | 0.148623 | + | 0.638192i | ||||
\(921\) | −32.0590 | − | 9.18025i | −1.05638 | − | 0.302499i | ||||
\(922\) | −31.0275 | − | 22.2382i | −1.02184 | − | 0.732377i | ||||
\(923\) | −1.67602 | − | 0.967648i | −0.0551667 | − | 0.0318505i | ||||
\(924\) | 9.52829 | + | 19.1341i | 0.313458 | + | 0.629467i | ||||
\(925\) | 14.3207 | − | 8.26809i | 0.470863 | − | 0.271853i | ||||
\(926\) | 12.7182 | + | 1.25379i | 0.417945 | + | 0.0412021i | ||||
\(927\) | 33.2585 | − | 17.7147i | 1.09235 | − | 0.581826i | ||||
\(928\) | −28.5238 | − | 15.2629i | −0.936340 | − | 0.501028i | ||||
\(929\) | −48.4355 | + | 27.9643i | −1.58912 | + | 0.917478i | −0.595666 | + | 0.803232i | \(0.703112\pi\) |
−0.993453 | + | 0.114246i | \(0.963555\pi\) | |||||||
\(930\) | −0.305147 | + | 0.241774i | −0.0100061 | + | 0.00792807i | ||||
\(931\) | −46.6179 | + | 14.6302i | −1.52784 | + | 0.479484i | ||||
\(932\) | −31.9564 | + | 36.4260i | −1.04677 | + | 1.19317i | ||||
\(933\) | −22.4964 | − | 23.2789i | −0.736499 | − | 0.762116i | ||||
\(934\) | −3.73216 | − | 8.23902i | −0.122120 | − | 0.269589i | ||||
\(935\) | 28.0361i | 0.916880i | ||||||||
\(936\) | −0.256622 | − | 1.30190i | −0.00838794 | − | 0.0425538i | ||||
\(937\) | 8.83248i | 0.288545i | 0.989538 | + | 0.144272i | \(0.0460841\pi\) | ||||
−0.989538 | + | 0.144272i | \(0.953916\pi\) | |||||||
\(938\) | 15.5346 | + | 13.9474i | 0.507222 | + | 0.455399i | ||||
\(939\) | −2.97074 | − | 11.8967i | −0.0969465 | − | 0.388234i | ||||
\(940\) | 6.25629 | − | 7.13134i | 0.204058 | − | 0.232599i | ||||
\(941\) | −1.40988 | + | 2.44199i | −0.0459609 | + | 0.0796066i | −0.888091 | − | 0.459668i | \(-0.847968\pi\) |
0.842130 | + | 0.539275i | \(0.181302\pi\) | |||||||
\(942\) | 41.5116 | + | 16.4436i | 1.35252 | + | 0.535760i | ||||
\(943\) | −4.24227 | − | 7.34783i | −0.138147 | − | 0.239278i | ||||
\(944\) | −1.54576 | + | 3.72798i | −0.0503101 | + | 0.121335i | ||||
\(945\) | −21.3793 | − | 9.62000i | −0.695468 | − | 0.312939i | ||||
\(946\) | 0.416340 | − | 4.22326i | 0.0135364 | − | 0.137310i | ||||
\(947\) | −1.25684 | − | 2.17690i | −0.0408417 | − | 0.0707399i | 0.844882 | − | 0.534953i | \(-0.179671\pi\) |
−0.885724 | + | 0.464213i | \(0.846337\pi\) | |||||||
\(948\) | −37.1398 | − | 19.1198i | −1.20625 | − | 0.620982i | ||||
\(949\) | −0.00597036 | − | 0.00344699i | −0.000193806 | − | 0.000111894i | ||||
\(950\) | −12.0298 | + | 16.7843i | −0.390297 | + | 0.544555i | ||||
\(951\) | −3.33868 | − | 13.3702i | −0.108264 | − | 0.433558i | ||||
\(952\) | 42.2286 | − | 31.6154i | 1.36864 | − | 1.02466i | ||||
\(953\) | 58.5707 | 1.89729 | 0.948646 | − | 0.316339i | \(-0.102454\pi\) | ||||
0.948646 | + | 0.316339i | \(0.102454\pi\) | |||||||
\(954\) | 4.77092 | − | 35.8097i | 0.154464 | − | 1.15938i | ||||
\(955\) | − | 13.6300i | − | 0.441056i | ||||||
\(956\) | 18.8613 | − | 6.39875i | 0.610018 | − | 0.206950i | ||||
\(957\) | −16.6121 | + | 16.0537i | −0.536992 | + | 0.518942i | ||||
\(958\) | −21.7670 | − | 15.6010i | −0.703261 | − | 0.504046i | ||||
\(959\) | −17.4680 | − | 1.92486i | −0.564072 | − | 0.0621571i | ||||
\(960\) | 4.20047 | + | 23.2529i | 0.135569 | + | 0.750485i | ||||
\(961\) | 15.4957 | + | 26.8393i | 0.499860 | + | 0.865783i | ||||
\(962\) | 1.73973 | + | 0.171507i | 0.0560912 | + | 0.00552962i | ||||
\(963\) | 18.5848 | + | 11.5945i | 0.598888 | + | 0.373626i | ||||
\(964\) | −5.30377 | + | 26.6387i | −0.170823 | + | 0.857975i | ||||
\(965\) | 18.4207 | + | 31.9056i | 0.592983 | + | 1.02708i | ||||
\(966\) | −14.1919 | − | 22.6219i | −0.456618 | − | 0.727848i | ||||
\(967\) | 50.3787 | + | 29.0861i | 1.62007 | + | 0.935347i | 0.986900 | + | 0.161334i | \(0.0515797\pi\) |
0.633169 | + | 0.774013i | \(0.281754\pi\) | |||||||
\(968\) | 10.7484 | + | 11.4822i | 0.345466 | + | 0.369051i | ||||
\(969\) | −23.4612 | + | 81.9305i | −0.753683 | + | 2.63199i | ||||
\(970\) | 17.0144 | + | 37.5605i | 0.546298 | + | 1.20600i | ||||
\(971\) | − | 5.11576i | − | 0.164172i | −0.996625 | − | 0.0820862i | \(-0.973842\pi\) | ||
0.996625 | − | 0.0820862i | \(-0.0261583\pi\) | |||||||
\(972\) | −16.1305 | + | 26.6797i | −0.517385 | + | 0.855753i | ||||
\(973\) | −42.2685 | + | 18.5649i | −1.35507 | + | 0.595164i | ||||
\(974\) | −11.1102 | − | 24.5267i | −0.355995 | − | 0.785887i | ||||
\(975\) | −0.155989 | + | 0.544741i | −0.00499565 | + | 0.0174457i | ||||
\(976\) | 14.7444 | − | 11.3053i | 0.471955 | − | 0.361873i | ||||
\(977\) | −8.42764 | + | 14.5971i | −0.269624 | + | 0.467003i | −0.968765 | − | 0.247981i | \(-0.920233\pi\) |
0.699141 | + | 0.714984i | \(0.253566\pi\) | |||||||
\(978\) | 4.43907 | + | 30.0959i | 0.141946 | + | 0.962360i | ||||
\(979\) | 21.3841 | − | 12.3461i | 0.683440 | − | 0.394584i | ||||
\(980\) | 19.2745 | − | 14.0878i | 0.615703 | − | 0.450018i | ||||
\(981\) | 26.3846 | − | 42.2921i | 0.842396 | − | 1.35028i | ||||
\(982\) | 2.21176 | − | 22.4356i | 0.0705801 | − | 0.715949i | ||||
\(983\) | 17.7243 | + | 30.6994i | 0.565318 | + | 0.979160i | 0.997020 | + | 0.0771436i | \(0.0245800\pi\) |
−0.431702 | + | 0.902016i | \(0.642087\pi\) | |||||||
\(984\) | −4.59983 | − | 8.97721i | −0.146637 | − | 0.286183i | ||||
\(985\) | 19.4250 | + | 11.2151i | 0.618933 | + | 0.357341i | ||||
\(986\) | 46.3393 | + | 33.2126i | 1.47574 | + | 1.05770i | ||||
\(987\) | −4.83010 | + | 11.7960i | −0.153744 | + | 0.375471i | ||||
\(988\) | −2.06735 | + | 0.701356i | −0.0657713 | + | 0.0223131i | ||||
\(989\) | 5.30188i | 0.168590i | ||||||||
\(990\) | 16.7258 | + | 2.22838i | 0.531582 | + | 0.0708227i | ||||
\(991\) | − | 58.5071i | − | 1.85854i | −0.369404 | − | 0.929269i | \(-0.620438\pi\) | ||
0.369404 | − | 0.929269i | \(-0.379562\pi\) | |||||||
\(992\) | −0.526961 | + | 0.0170127i | −0.0167310 | + | 0.000540155i | ||||
\(993\) | 3.19998 | − | 0.799070i | 0.101548 | − | 0.0253577i | ||||
\(994\) | −45.3064 | − | 9.56277i | −1.43703 | − | 0.303312i | ||||
\(995\) | 13.0037 | − | 22.5231i | 0.412246 | − | 0.714031i | ||||
\(996\) | −27.2535 | − | 14.0303i | −0.863561 | − | 0.444566i | ||||
\(997\) | 2.99279 | + | 5.18367i | 0.0947827 | + | 0.164168i | 0.909518 | − | 0.415665i | \(-0.136451\pi\) |
−0.814735 | + | 0.579833i | \(0.803118\pi\) | |||||||
\(998\) | 2.99457 | − | 30.3763i | 0.0947916 | − | 0.961545i | ||||
\(999\) | −27.5166 | − | 30.4938i | −0.870585 | − | 0.964781i |
(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 | 504.2.be.a.139.13 | ✓ | 184 | |
7.6 | odd | 2 | inner | 504.2.be.a.139.14 | yes | 184 | |
8.3 | odd | 2 | inner | 504.2.be.a.139.75 | yes | 184 | |
9.7 | even | 3 | inner | 504.2.be.a.475.76 | yes | 184 | |
56.27 | even | 2 | inner | 504.2.be.a.139.76 | yes | 184 | |
63.34 | odd | 6 | inner | 504.2.be.a.475.75 | yes | 184 | |
72.43 | odd | 6 | inner | 504.2.be.a.475.14 | yes | 184 | |
504.475 | even | 6 | inner | 504.2.be.a.475.13 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.be.a.139.13 | ✓ | 184 | 1.1 | even | 1 | trivial | |
504.2.be.a.139.14 | yes | 184 | 7.6 | odd | 2 | inner | |
504.2.be.a.139.75 | yes | 184 | 8.3 | odd | 2 | inner | |
504.2.be.a.139.76 | yes | 184 | 56.27 | even | 2 | inner | |
504.2.be.a.475.13 | yes | 184 | 504.475 | even | 6 | inner | |
504.2.be.a.475.14 | yes | 184 | 72.43 | odd | 6 | inner | |
504.2.be.a.475.75 | yes | 184 | 63.34 | odd | 6 | inner | |
504.2.be.a.475.76 | yes | 184 | 9.7 | even | 3 | inner |