Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.7 | ||
Character | \(\chi\) | \(=\) | 230.7 |
Dual form | 230.2.l.a.33.7 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997452 | − | 0.0713392i | 0.705305 | − | 0.0504444i | ||||
\(3\) | −0.664372 | + | 3.05407i | −0.383575 | + | 1.76327i | 0.229565 | + | 0.973293i | \(0.426270\pi\) |
−0.613140 | + | 0.789974i | \(0.710094\pi\) | |||||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | 2.09578 | + | 0.779553i | 0.937262 | + | 0.348627i | ||||
\(6\) | −0.444805 | + | 3.09368i | −0.181591 | + | 1.26299i | ||||
\(7\) | 1.24726 | − | 2.28419i | 0.471420 | − | 0.863341i | −0.528476 | − | 0.848948i | \(-0.677236\pi\) |
0.999896 | − | 0.0143934i | \(-0.00458172\pi\) | |||||||
\(8\) | 0.977147 | − | 0.212565i | 0.345474 | − | 0.0751532i | ||||
\(9\) | −6.15705 | − | 2.81183i | −2.05235 | − | 0.937277i | ||||
\(10\) | 2.14605 | + | 0.628055i | 0.678642 | + | 0.198609i | ||||
\(11\) | −3.47691 | + | 3.01276i | −1.04833 | + | 0.908380i | −0.995920 | − | 0.0902455i | \(-0.971235\pi\) |
−0.0524072 | + | 0.998626i | \(0.516689\pi\) | |||||||
\(12\) | −0.222970 | + | 3.11753i | −0.0643660 | + | 0.899954i | ||||
\(13\) | 2.28489 | − | 1.24765i | 0.633716 | − | 0.346035i | −0.130070 | − | 0.991505i | \(-0.541520\pi\) |
0.763786 | + | 0.645470i | \(0.223338\pi\) | |||||||
\(14\) | 1.08113 | − | 2.36735i | 0.288944 | − | 0.632700i | ||||
\(15\) | −3.77319 | + | 5.88275i | −0.974233 | + | 1.51892i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −2.24436 | − | 2.99811i | −0.544337 | − | 0.727149i | 0.441050 | − | 0.897483i | \(-0.354606\pi\) |
−0.985386 | + | 0.170334i | \(0.945515\pi\) | |||||||
\(18\) | −6.34196 | − | 2.36543i | −1.49481 | − | 0.557537i | ||||
\(19\) | −0.215083 | − | 1.49593i | −0.0493434 | − | 0.343191i | −0.999506 | − | 0.0314355i | \(-0.989992\pi\) |
0.950162 | − | 0.311755i | \(-0.100917\pi\) | |||||||
\(20\) | 2.18539 | + | 0.473357i | 0.488668 | + | 0.105846i | ||||
\(21\) | 6.14742 | + | 5.32677i | 1.34148 | + | 1.16240i | ||||
\(22\) | −3.25312 | + | 3.25312i | −0.693568 | + | 0.693568i | ||||
\(23\) | −4.73107 | − | 0.785478i | −0.986496 | − | 0.163783i | ||||
\(24\) | 3.12550i | 0.637989i | ||||||||
\(25\) | 3.78459 | + | 3.26754i | 0.756919 | + | 0.653509i | ||||
\(26\) | 2.19007 | − | 1.40747i | 0.429507 | − | 0.276028i | ||||
\(27\) | 7.05898 | − | 9.42969i | 1.35850 | − | 1.81475i | ||||
\(28\) | 0.909491 | − | 2.43844i | 0.171878 | − | 0.460822i | ||||
\(29\) | 6.04466 | + | 0.869091i | 1.12247 | + | 0.161386i | 0.678460 | − | 0.734638i | \(-0.262648\pi\) |
0.444006 | + | 0.896024i | \(0.353557\pi\) | |||||||
\(30\) | −3.34390 | + | 6.13693i | −0.610510 | + | 1.12045i | ||||
\(31\) | 4.50690 | + | 2.89641i | 0.809464 | + | 0.520211i | 0.878692 | − | 0.477390i | \(-0.158417\pi\) |
−0.0692275 | + | 0.997601i | \(0.522053\pi\) | |||||||
\(32\) | 0.936950 | − | 0.349464i | 0.165631 | − | 0.0617771i | ||||
\(33\) | −6.89121 | − | 12.6203i | −1.19961 | − | 2.19691i | ||||
\(34\) | −2.45252 | − | 2.83036i | −0.420604 | − | 0.485403i | ||||
\(35\) | 4.39463 | − | 3.81485i | 0.742828 | − | 0.644827i | ||||
\(36\) | −6.49455 | − | 1.90697i | −1.08242 | − | 0.317829i | ||||
\(37\) | −3.04986 | − | 8.17698i | −0.501393 | − | 1.34429i | −0.903458 | − | 0.428676i | \(-0.858980\pi\) |
0.402065 | − | 0.915611i | \(-0.368293\pi\) | |||||||
\(38\) | −0.321254 | − | 1.47678i | −0.0521142 | − | 0.239565i | ||||
\(39\) | 2.29238 | + | 7.80713i | 0.367074 | + | 1.25014i | ||||
\(40\) | 2.21359 | + | 0.316247i | 0.350000 | + | 0.0500031i | ||||
\(41\) | −4.39226 | − | 9.61770i | −0.685955 | − | 1.50203i | −0.856207 | − | 0.516632i | \(-0.827186\pi\) |
0.170252 | − | 0.985401i | \(-0.445542\pi\) | |||||||
\(42\) | 6.51176 | + | 4.87465i | 1.00479 | + | 0.752174i | ||||
\(43\) | 0.661697 | + | 0.143943i | 0.100908 | + | 0.0219511i | 0.262736 | − | 0.964868i | \(-0.415375\pi\) |
−0.161828 | + | 0.986819i | \(0.551739\pi\) | |||||||
\(44\) | −3.01276 | + | 3.47691i | −0.454190 | + | 0.524163i | ||||
\(45\) | −10.7119 | − | 10.6927i | −1.59683 | − | 1.59398i | ||||
\(46\) | −4.77505 | − | 0.445966i | −0.704043 | − | 0.0657540i | ||||
\(47\) | 1.92809 | + | 1.92809i | 0.281241 | + | 0.281241i | 0.833604 | − | 0.552363i | \(-0.186274\pi\) |
−0.552363 | + | 0.833604i | \(0.686274\pi\) | |||||||
\(48\) | 0.222970 | + | 3.11753i | 0.0321830 | + | 0.449977i | ||||
\(49\) | 0.122635 | + | 0.190823i | 0.0175193 | + | 0.0272605i | ||||
\(50\) | 4.00806 | + | 2.98923i | 0.566825 | + | 0.422741i | ||||
\(51\) | 10.6475 | − | 4.86256i | 1.49095 | − | 0.680895i | ||||
\(52\) | 2.08408 | − | 1.56012i | 0.289010 | − | 0.216350i | ||||
\(53\) | 5.52584 | + | 3.01733i | 0.759032 | + | 0.414463i | 0.811644 | − | 0.584152i | \(-0.198573\pi\) |
−0.0526122 | + | 0.998615i | \(0.516755\pi\) | |||||||
\(54\) | 6.36829 | − | 9.90925i | 0.866614 | − | 1.34848i | ||||
\(55\) | −9.63544 | + | 3.60365i | −1.29924 | + | 0.485915i | ||||
\(56\) | 0.733218 | − | 2.49711i | 0.0979803 | − | 0.333690i | ||||
\(57\) | 4.71158 | + | 0.336979i | 0.624064 | + | 0.0446340i | ||||
\(58\) | 6.09126 | + | 0.435656i | 0.799822 | + | 0.0572044i | ||||
\(59\) | −1.80006 | + | 6.13045i | −0.234348 | + | 0.798117i | 0.755396 | + | 0.655268i | \(0.227444\pi\) |
−0.989745 | + | 0.142849i | \(0.954374\pi\) | |||||||
\(60\) | −2.89758 | + | 6.35985i | −0.374076 | + | 0.821053i | ||||
\(61\) | −4.00554 | + | 6.23274i | −0.512856 | + | 0.798020i | −0.997035 | − | 0.0769490i | \(-0.975482\pi\) |
0.484179 | + | 0.874969i | \(0.339118\pi\) | |||||||
\(62\) | 4.70205 | + | 2.56751i | 0.597161 | + | 0.326075i | ||||
\(63\) | −14.1022 | + | 10.5568i | −1.77671 | + | 1.33003i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | 5.76124 | − | 0.833598i | 0.714594 | − | 0.103395i | ||||
\(66\) | −7.77397 | − | 12.0965i | −0.956910 | − | 1.48898i | ||||
\(67\) | −0.554064 | − | 7.74682i | −0.0676897 | − | 0.946425i | −0.911900 | − | 0.410413i | \(-0.865385\pi\) |
0.844210 | − | 0.536012i | \(-0.180070\pi\) | |||||||
\(68\) | −2.64819 | − | 2.64819i | −0.321140 | − | 0.321140i | ||||
\(69\) | 5.54209 | − | 13.9272i | 0.667190 | − | 1.67663i | ||||
\(70\) | 4.11128 | − | 4.11864i | 0.491392 | − | 0.492272i | ||||
\(71\) | −8.49053 | + | 9.79860i | −1.00764 | + | 1.16288i | −0.0210313 | + | 0.999779i | \(0.506695\pi\) |
−0.986609 | + | 0.163101i | \(0.947851\pi\) | |||||||
\(72\) | −6.61404 | − | 1.43880i | −0.779472 | − | 0.169564i | ||||
\(73\) | 1.19098 | + | 0.891553i | 0.139393 | + | 0.104348i | 0.666699 | − | 0.745327i | \(-0.267707\pi\) |
−0.527306 | + | 0.849676i | \(0.676798\pi\) | |||||||
\(74\) | −3.62542 | − | 7.93857i | −0.421447 | − | 0.922840i | ||||
\(75\) | −12.4937 | + | 9.38755i | −1.44265 | + | 1.08398i | ||||
\(76\) | −0.425787 | − | 1.45010i | −0.0488412 | − | 0.166338i | ||||
\(77\) | 2.54509 | + | 11.6996i | 0.290040 | + | 1.33329i | ||||
\(78\) | 2.84349 | + | 7.62370i | 0.321962 | + | 0.863214i | ||||
\(79\) | 4.18153 | + | 1.22781i | 0.470459 | + | 0.138139i | 0.508364 | − | 0.861142i | \(-0.330250\pi\) |
−0.0379052 | + | 0.999281i | \(0.512068\pi\) | |||||||
\(80\) | 2.23051 | + | 0.157526i | 0.249379 | + | 0.0176119i | ||||
\(81\) | 10.8114 | + | 12.4770i | 1.20127 | + | 1.38634i | ||||
\(82\) | −5.06719 | − | 9.27986i | −0.559577 | − | 1.02479i | ||||
\(83\) | −2.30068 | + | 0.858110i | −0.252533 | + | 0.0941898i | −0.472543 | − | 0.881308i | \(-0.656664\pi\) |
0.220010 | + | 0.975498i | \(0.429391\pi\) | |||||||
\(84\) | 6.84293 | + | 4.39768i | 0.746624 | + | 0.479826i | ||||
\(85\) | −2.36650 | − | 8.03298i | −0.256683 | − | 0.871299i | ||||
\(86\) | 0.670280 | + | 0.0963717i | 0.0722781 | + | 0.0103920i | ||||
\(87\) | −6.67017 | + | 17.8834i | −0.715117 | + | 1.91730i | ||||
\(88\) | −2.75704 | + | 3.68298i | −0.293902 | + | 0.392606i | ||||
\(89\) | −13.5970 | + | 8.73826i | −1.44128 | + | 0.926254i | −0.441703 | + | 0.897161i | \(0.645626\pi\) |
−0.999577 | + | 0.0290929i | \(0.990738\pi\) | |||||||
\(90\) | −11.4474 | − | 9.90131i | −1.20666 | − | 1.04369i | ||||
\(91\) | − | 6.77526i | − | 0.710241i | ||||||
\(92\) | −4.79470 | − | 0.104181i | −0.499882 | − | 0.0108616i | ||||
\(93\) | −11.8401 | + | 11.8401i | −1.22776 | + | 1.22776i | ||||
\(94\) | 2.06073 | + | 1.78563i | 0.212548 | + | 0.184174i | ||||
\(95\) | 0.715393 | − | 3.30282i | 0.0733978 | − | 0.338862i | ||||
\(96\) | 0.444805 | + | 3.09368i | 0.0453977 | + | 0.315748i | ||||
\(97\) | −6.88907 | − | 2.56949i | −0.699479 | − | 0.260892i | −0.0255342 | − | 0.999674i | \(-0.508129\pi\) |
−0.673945 | + | 0.738782i | \(0.735401\pi\) | |||||||
\(98\) | 0.135936 | + | 0.181589i | 0.0137316 | + | 0.0183432i | ||||
\(99\) | 29.8789 | − | 8.77322i | 3.00294 | − | 0.881742i | ||||
\(100\) | 4.21109 | + | 2.69568i | 0.421109 | + | 0.269568i | ||||
\(101\) | 5.86240 | − | 12.8369i | 0.583330 | − | 1.27732i | −0.356059 | − | 0.934463i | \(-0.615880\pi\) |
0.939389 | − | 0.342852i | \(-0.111393\pi\) | |||||||
\(102\) | 10.2735 | − | 5.60976i | 1.01723 | − | 0.555449i | ||||
\(103\) | 0.942711 | − | 13.1808i | 0.0928881 | − | 1.29874i | −0.710673 | − | 0.703522i | \(-0.751609\pi\) |
0.803561 | − | 0.595222i | \(-0.202936\pi\) | |||||||
\(104\) | 1.96747 | − | 1.70482i | 0.192926 | − | 0.167172i | ||||
\(105\) | 8.73115 | + | 15.9560i | 0.852073 | + | 1.55714i | ||||
\(106\) | 5.72701 | + | 2.61544i | 0.556256 | + | 0.254034i | ||||
\(107\) | 5.82282 | − | 1.26668i | 0.562913 | − | 0.122454i | 0.0778999 | − | 0.996961i | \(-0.475179\pi\) |
0.485013 | + | 0.874507i | \(0.338815\pi\) | |||||||
\(108\) | 5.64514 | − | 10.3383i | 0.543204 | − | 0.994804i | ||||
\(109\) | −0.132276 | + | 0.919999i | −0.0126697 | + | 0.0881199i | −0.995175 | − | 0.0981138i | \(-0.968719\pi\) |
0.982505 | + | 0.186234i | \(0.0596282\pi\) | |||||||
\(110\) | −9.35381 | + | 4.28185i | −0.891850 | + | 0.408258i | ||||
\(111\) | 26.9993 | − | 3.88191i | 2.56266 | − | 0.368455i | ||||
\(112\) | 0.553208 | − | 2.54306i | 0.0522732 | − | 0.240296i | ||||
\(113\) | −0.628113 | + | 0.0449236i | −0.0590879 | + | 0.00422605i | −0.100852 | − | 0.994901i | \(-0.532157\pi\) |
0.0417639 | + | 0.999128i | \(0.486702\pi\) | |||||||
\(114\) | 4.72362 | 0.442407 | ||||||||
\(115\) | −9.30296 | − | 5.33431i | −0.867506 | − | 0.497427i | ||||
\(116\) | 6.10682 | 0.567004 | ||||||||
\(117\) | −17.5764 | + | 1.25709i | −1.62494 | + | 0.116218i | ||||
\(118\) | −1.35814 | + | 6.24325i | −0.125027 | + | 0.574738i | ||||
\(119\) | −9.64755 | + | 1.38711i | −0.884389 | + | 0.127156i | ||||
\(120\) | −2.43649 | + | 6.55036i | −0.222420 | + | 0.597963i | ||||
\(121\) | 1.44671 | − | 10.0621i | 0.131519 | − | 0.914737i | ||||
\(122\) | −3.55069 | + | 6.50261i | −0.321465 | + | 0.588718i | ||||
\(123\) | 32.2912 | − | 7.02452i | 2.91160 | − | 0.633380i | ||||
\(124\) | 4.87323 | + | 2.22553i | 0.437629 | + | 0.199859i | ||||
\(125\) | 5.38446 | + | 9.79835i | 0.481601 | + | 0.876391i | ||||
\(126\) | −13.3132 | + | 11.5359i | −1.18603 | + | 1.02770i | ||||
\(127\) | −0.184850 | + | 2.58455i | −0.0164028 | + | 0.229341i | 0.982637 | + | 0.185537i | \(0.0594024\pi\) |
−0.999040 | + | 0.0438045i | \(0.986052\pi\) | |||||||
\(128\) | 0.877679 | − | 0.479249i | 0.0775766 | − | 0.0423600i | ||||
\(129\) | −0.879226 | + | 1.92524i | −0.0774115 | + | 0.169508i | ||||
\(130\) | 5.68710 | − | 1.24248i | 0.498791 | − | 0.108972i | ||||
\(131\) | −20.2225 | + | 5.93786i | −1.76685 | + | 0.518794i | −0.993363 | − | 0.115021i | \(-0.963307\pi\) |
−0.773485 | + | 0.633814i | \(0.781488\pi\) | |||||||
\(132\) | −8.61712 | − | 11.5111i | −0.750024 | − | 1.00191i | ||||
\(133\) | −3.68526 | − | 1.37453i | −0.319552 | − | 0.119187i | ||||
\(134\) | −1.10530 | − | 7.68756i | −0.0954837 | − | 0.664104i | ||||
\(135\) | 22.1450 | − | 14.2597i | 1.90594 | − | 1.22728i | ||||
\(136\) | −2.83036 | − | 2.45252i | −0.242702 | − | 0.210302i | ||||
\(137\) | −3.47894 | + | 3.47894i | −0.297226 | + | 0.297226i | −0.839926 | − | 0.542701i | \(-0.817402\pi\) |
0.542701 | + | 0.839926i | \(0.317402\pi\) | |||||||
\(138\) | 4.53442 | − | 14.2870i | 0.385996 | − | 1.21619i | ||||
\(139\) | 9.56448i | 0.811249i | 0.914040 | + | 0.405624i | \(0.132946\pi\) | ||||
−0.914040 | + | 0.405624i | \(0.867054\pi\) | |||||||
\(140\) | 3.80699 | − | 4.40144i | 0.321749 | − | 0.371990i | ||||
\(141\) | −7.16949 | + | 4.60755i | −0.603780 | + | 0.388026i | ||||
\(142\) | −7.76987 | + | 10.3793i | −0.652033 | + | 0.871015i | ||||
\(143\) | −4.18551 | + | 11.2218i | −0.350010 | + | 0.938412i | ||||
\(144\) | −6.69983 | − | 0.963290i | −0.558319 | − | 0.0802742i | ||||
\(145\) | 11.9908 | + | 6.53356i | 0.995781 | + | 0.542583i | ||||
\(146\) | 1.25154 | + | 0.804318i | 0.103579 | + | 0.0665659i | ||||
\(147\) | −0.664263 | + | 0.247757i | −0.0547875 | + | 0.0204347i | ||||
\(148\) | −4.18252 | − | 7.65971i | −0.343801 | − | 0.629624i | ||||
\(149\) | 8.43804 | + | 9.73802i | 0.691271 | + | 0.797770i | 0.987546 | − | 0.157333i | \(-0.0502897\pi\) |
−0.296274 | + | 0.955103i | \(0.595744\pi\) | |||||||
\(150\) | −11.7922 | + | 10.2549i | −0.962825 | + | 0.837311i | ||||
\(151\) | −6.62240 | − | 1.94451i | −0.538924 | − | 0.158242i | 0.000932510 | − | 1.00000i | \(-0.499703\pi\) |
−0.539856 | + | 0.841757i | \(0.681521\pi\) | |||||||
\(152\) | −0.528151 | − | 1.41603i | −0.0428387 | − | 0.114855i | ||||
\(153\) | 5.38845 | + | 24.7703i | 0.435630 | + | 2.00256i | ||||
\(154\) | 3.37325 | + | 11.4882i | 0.271824 | + | 0.925747i | ||||
\(155\) | 7.18758 | + | 9.58362i | 0.577320 | + | 0.769775i | ||||
\(156\) | 3.38012 | + | 7.40142i | 0.270626 | + | 0.592588i | ||||
\(157\) | −11.1466 | − | 8.34427i | −0.889599 | − | 0.665946i | 0.0534602 | − | 0.998570i | \(-0.482975\pi\) |
−0.943059 | + | 0.332624i | \(0.892066\pi\) | |||||||
\(158\) | 4.25847 | + | 0.926374i | 0.338786 | + | 0.0736983i | ||||
\(159\) | −12.8864 | + | 14.8717i | −1.02195 | + | 1.17940i | ||||
\(160\) | 2.23607 | − | 0.00199849i | 0.176777 | − | 0.000157994i | ||||
\(161\) | −7.69505 | + | 9.82695i | −0.606455 | + | 0.774472i | ||||
\(162\) | 11.6740 | + | 11.6740i | 0.917194 | + | 0.917194i | ||||
\(163\) | −0.862351 | − | 12.0572i | −0.0675445 | − | 0.944396i | −0.912373 | − | 0.409359i | \(-0.865752\pi\) |
0.844829 | − | 0.535037i | \(-0.179702\pi\) | |||||||
\(164\) | −5.71629 | − | 8.89472i | −0.446367 | − | 0.694561i | ||||
\(165\) | −4.60427 | − | 31.8215i | −0.358442 | − | 2.47730i | ||||
\(166\) | −2.23360 | + | 1.02005i | −0.173361 | + | 0.0791714i | ||||
\(167\) | 8.33860 | − | 6.24220i | 0.645260 | − | 0.483036i | −0.225825 | − | 0.974168i | \(-0.572508\pi\) |
0.871085 | + | 0.491132i | \(0.163417\pi\) | |||||||
\(168\) | 7.13922 | + | 3.89831i | 0.550803 | + | 0.300761i | ||||
\(169\) | −3.36421 | + | 5.23482i | −0.258786 | + | 0.402678i | ||||
\(170\) | −2.93353 | − | 7.84369i | −0.224992 | − | 0.601584i | ||||
\(171\) | −2.88204 | + | 9.81532i | −0.220395 | + | 0.750596i | ||||
\(172\) | 0.675447 | + | 0.0483089i | 0.0515023 | + | 0.00368352i | ||||
\(173\) | −12.6460 | − | 0.904460i | −0.961458 | − | 0.0687649i | −0.418222 | − | 0.908345i | \(-0.637347\pi\) |
−0.543236 | + | 0.839580i | \(0.682801\pi\) | |||||||
\(174\) | −5.37739 | + | 18.3137i | −0.407659 | + | 1.38836i | ||||
\(175\) | 12.1841 | − | 4.56924i | 0.921028 | − | 0.345402i | ||||
\(176\) | −2.48728 | + | 3.87028i | −0.187485 | + | 0.291733i | ||||
\(177\) | −17.5269 | − | 9.57042i | −1.31740 | − | 0.719357i | ||||
\(178\) | −12.9390 | + | 9.68600i | −0.969818 | + | 0.725996i | ||||
\(179\) | 0.654216 | − | 0.298770i | 0.0488984 | − | 0.0223311i | −0.390816 | − | 0.920469i | \(-0.627807\pi\) |
0.439714 | + | 0.898138i | \(0.355080\pi\) | |||||||
\(180\) | −12.1246 | − | 9.05944i | −0.903712 | − | 0.675251i | ||||
\(181\) | 7.33618 | + | 11.4153i | 0.545294 | + | 0.848494i | 0.999092 | − | 0.0426108i | \(-0.0135675\pi\) |
−0.453798 | + | 0.891105i | \(0.649931\pi\) | |||||||
\(182\) | −0.483342 | − | 6.75800i | −0.0358277 | − | 0.500936i | ||||
\(183\) | −16.3740 | − | 16.3740i | −1.21040 | − | 1.21040i | ||||
\(184\) | −4.78992 | + | 0.238134i | −0.353117 | + | 0.0175555i | ||||
\(185\) | −0.0174413 | − | 19.5147i | −0.00128231 | − | 1.43475i | ||||
\(186\) | −10.9653 | + | 12.6546i | −0.804013 | + | 0.927880i | ||||
\(187\) | 16.8360 | + | 3.66245i | 1.23117 | + | 0.267825i | ||||
\(188\) | 2.18286 | + | 1.63407i | 0.159201 | + | 0.119177i | ||||
\(189\) | −12.7348 | − | 27.8853i | −0.926320 | − | 2.02836i | ||||
\(190\) | 0.477950 | − | 3.34544i | 0.0346741 | − | 0.242704i | ||||
\(191\) | −4.97822 | − | 16.9543i | −0.360211 | − | 1.22677i | −0.917932 | − | 0.396738i | \(-0.870142\pi\) |
0.557720 | − | 0.830029i | \(-0.311676\pi\) | |||||||
\(192\) | 0.664372 | + | 3.05407i | 0.0479469 | + | 0.220408i | ||||
\(193\) | 4.78257 | + | 12.8226i | 0.344257 | + | 0.922989i | 0.987541 | + | 0.157361i | \(0.0502987\pi\) |
−0.643284 | + | 0.765628i | \(0.722429\pi\) | |||||||
\(194\) | −7.05482 | − | 2.07148i | −0.506507 | − | 0.148724i | ||||
\(195\) | −1.28174 | + | 18.1491i | −0.0917875 | + | 1.29968i | ||||
\(196\) | 0.148544 | + | 0.171428i | 0.0106103 | + | 0.0122449i | ||||
\(197\) | 8.43065 | + | 15.4396i | 0.600659 | + | 1.10003i | 0.984293 | + | 0.176540i | \(0.0564905\pi\) |
−0.383634 | + | 0.923485i | \(0.625328\pi\) | |||||||
\(198\) | 29.1769 | − | 10.8824i | 2.07351 | − | 0.773379i | ||||
\(199\) | −16.9934 | − | 10.9210i | −1.20463 | − | 0.774170i | −0.224881 | − | 0.974386i | \(-0.572199\pi\) |
−0.979752 | + | 0.200216i | \(0.935836\pi\) | |||||||
\(200\) | 4.39267 | + | 2.38840i | 0.310609 | + | 0.168885i | ||||
\(201\) | 24.0274 | + | 3.45462i | 1.69476 | + | 0.243670i | ||||
\(202\) | 4.93169 | − | 13.2224i | 0.346993 | − | 0.930323i | ||||
\(203\) | 9.52443 | − | 12.7232i | 0.668484 | − | 0.892990i | ||||
\(204\) | 9.84714 | − | 6.32837i | 0.689438 | − | 0.443075i | ||||
\(205\) | −1.70770 | − | 23.5806i | −0.119271 | − | 1.64694i | ||||
\(206\) | − | 13.2145i | − | 0.920697i | ||||||
\(207\) | 26.9208 | + | 18.1392i | 1.87113 | + | 1.26076i | ||||
\(208\) | 1.84084 | − | 1.84084i | 0.127639 | − | 0.127639i | ||||
\(209\) | 5.25471 | + | 4.55323i | 0.363476 | + | 0.314954i | ||||
\(210\) | 9.84719 | + | 15.2925i | 0.679520 | + | 1.05528i | ||||
\(211\) | 0.469737 | + | 3.26709i | 0.0323380 | + | 0.224916i | 0.999581 | − | 0.0289354i | \(-0.00921170\pi\) |
−0.967243 | + | 0.253851i | \(0.918303\pi\) | |||||||
\(212\) | 5.89900 | + | 2.20021i | 0.405145 | + | 0.151111i | ||||
\(213\) | −24.2847 | − | 32.4406i | −1.66396 | − | 2.22279i | ||||
\(214\) | 5.71762 | − | 1.67884i | 0.390848 | − | 0.114763i | ||||
\(215\) | 1.27456 | + | 0.817501i | 0.0869243 | + | 0.0557531i | ||||
\(216\) | 4.89323 | − | 10.7147i | 0.332942 | − | 0.729042i | ||||
\(217\) | 12.2372 | − | 6.68203i | 0.830717 | − | 0.453606i | ||||
\(218\) | −0.0663069 | + | 0.927091i | −0.00449087 | + | 0.0627905i | ||||
\(219\) | −3.51412 | + | 3.04500i | −0.237462 | + | 0.205762i | ||||
\(220\) | −9.02451 | + | 4.93823i | −0.608432 | + | 0.332935i | ||||
\(221\) | −8.86870 | − | 4.05020i | −0.596574 | − | 0.272446i | ||||
\(222\) | 26.6536 | − | 5.79813i | 1.78887 | − | 0.389145i | ||||
\(223\) | 3.37595 | − | 6.18260i | 0.226070 | − | 0.414017i | −0.739882 | − | 0.672737i | \(-0.765119\pi\) |
0.965953 | + | 0.258719i | \(0.0833005\pi\) | |||||||
\(224\) | 0.370379 | − | 2.57604i | 0.0247470 | − | 0.172119i | ||||
\(225\) | −14.1142 | − | 30.7601i | −0.940944 | − | 2.05067i | ||||
\(226\) | −0.623308 | + | 0.0896182i | −0.0414618 | + | 0.00596131i | ||||
\(227\) | −1.35648 | + | 6.23564i | −0.0900327 | + | 0.413874i | −1.00000 | 0.000807034i | \(-0.999743\pi\) | |
0.909967 | + | 0.414681i | \(0.136107\pi\) | |||||||
\(228\) | 4.71158 | − | 0.336979i | 0.312032 | − | 0.0223170i | ||||
\(229\) | 0.740462 | 0.0489311 | 0.0244655 | − | 0.999701i | \(-0.492212\pi\) | ||||
0.0244655 | + | 0.999701i | \(0.492212\pi\) | |||||||
\(230\) | −9.65981 | − | 4.65705i | −0.636949 | − | 0.307077i | ||||
\(231\) | −37.4223 | −2.46220 | ||||||||
\(232\) | 6.09126 | − | 0.435656i | 0.399911 | − | 0.0286022i | ||||
\(233\) | −5.07036 | + | 23.3081i | −0.332171 | + | 1.52696i | 0.443760 | + | 0.896146i | \(0.353644\pi\) |
−0.775931 | + | 0.630818i | \(0.782719\pi\) | |||||||
\(234\) | −17.4419 | + | 2.50777i | −1.14021 | + | 0.163938i | ||||
\(235\) | 2.53781 | + | 5.54390i | 0.165548 | + | 0.361644i | ||||
\(236\) | −0.909287 | + | 6.32423i | −0.0591895 | + | 0.411672i | ||||
\(237\) | −6.52791 | + | 11.9550i | −0.424033 | + | 0.776559i | ||||
\(238\) | −9.52401 | + | 2.07182i | −0.617350 | + | 0.134296i | ||||
\(239\) | 14.8082 | + | 6.76267i | 0.957861 | + | 0.437440i | 0.832103 | − | 0.554621i | \(-0.187137\pi\) |
0.125758 | + | 0.992061i | \(0.459864\pi\) | |||||||
\(240\) | −1.96298 | + | 6.70748i | −0.126710 | + | 0.432966i | ||||
\(241\) | 14.7073 | − | 12.7439i | 0.947378 | − | 0.820908i | −0.0365754 | − | 0.999331i | \(-0.511645\pi\) |
0.983954 | + | 0.178423i | \(0.0570995\pi\) | |||||||
\(242\) | 0.725204 | − | 10.1397i | 0.0466179 | − | 0.651803i | ||||
\(243\) | −14.2736 | + | 7.79399i | −0.915654 | + | 0.499985i | ||||
\(244\) | −3.07776 | + | 6.73934i | −0.197033 | + | 0.431442i | ||||
\(245\) | 0.108259 | + | 0.495525i | 0.00691639 | + | 0.0316579i | ||||
\(246\) | 31.7078 | − | 9.31026i | 2.02162 | − | 0.593600i | ||||
\(247\) | −2.35784 | − | 3.14970i | −0.150026 | − | 0.200411i | ||||
\(248\) | 5.01958 | + | 1.87221i | 0.318744 | + | 0.118885i | ||||
\(249\) | −1.09222 | − | 7.59655i | −0.0692165 | − | 0.481412i | ||||
\(250\) | 6.06974 | + | 9.38926i | 0.383884 | + | 0.593829i | ||||
\(251\) | 9.70871 | + | 8.41265i | 0.612808 | + | 0.531002i | 0.905029 | − | 0.425349i | \(-0.139849\pi\) |
−0.292221 | + | 0.956351i | \(0.594394\pi\) | |||||||
\(252\) | −12.4563 | + | 12.4563i | −0.784671 | + | 0.784671i | ||||
\(253\) | 18.8159 | − | 11.5225i | 1.18295 | − | 0.724415i | ||||
\(254\) | 2.59115i | 0.162583i | ||||||||
\(255\) | 26.1055 | − | 1.89056i | 1.63479 | − | 0.118391i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −2.27483 | + | 3.03881i | −0.141900 | + | 0.189556i | −0.865861 | − | 0.500285i | \(-0.833229\pi\) |
0.723961 | + | 0.689841i | \(0.242320\pi\) | |||||||
\(258\) | −0.739641 | + | 1.98305i | −0.0460480 | + | 0.123460i | ||||
\(259\) | −22.4817 | − | 3.23238i | −1.39695 | − | 0.200850i | ||||
\(260\) | 5.58397 | − | 1.64502i | 0.346303 | − | 0.102020i | ||||
\(261\) | −34.7736 | − | 22.3476i | −2.15243 | − | 1.38328i | ||||
\(262\) | −19.7474 | + | 7.36539i | −1.22000 | + | 0.455035i | ||||
\(263\) | 4.88468 | + | 8.94562i | 0.301202 | + | 0.551610i | 0.983819 | − | 0.179166i | \(-0.0573400\pi\) |
−0.682617 | + | 0.730777i | \(0.739158\pi\) | |||||||
\(264\) | −9.41636 | − | 10.8671i | −0.579537 | − | 0.668821i | ||||
\(265\) | 9.22877 | + | 10.6314i | 0.566919 | + | 0.653079i | ||||
\(266\) | −3.77393 | − | 1.10812i | −0.231394 | − | 0.0679435i | ||||
\(267\) | −17.6538 | − | 47.3317i | −1.08039 | − | 2.89665i | ||||
\(268\) | −1.65091 | − | 7.58912i | −0.100845 | − | 0.463579i | ||||
\(269\) | 0.0847081 | + | 0.288489i | 0.00516474 | + | 0.0175895i | 0.962035 | − | 0.272926i | \(-0.0879914\pi\) |
−0.956870 | + | 0.290515i | \(0.906173\pi\) | |||||||
\(270\) | 21.0713 | − | 15.8032i | 1.28236 | − | 0.961752i | ||||
\(271\) | −0.124734 | − | 0.273130i | −0.00757706 | − | 0.0165915i | 0.905806 | − | 0.423693i | \(-0.139267\pi\) |
−0.913383 | + | 0.407102i | \(0.866539\pi\) | |||||||
\(272\) | −2.99811 | − | 2.24436i | −0.181787 | − | 0.136084i | ||||
\(273\) | 20.6921 | + | 4.50130i | 1.25234 | + | 0.272431i | ||||
\(274\) | −3.22189 | + | 3.71826i | −0.194641 | + | 0.224628i | ||||
\(275\) | −23.0030 | + | 0.0411179i | −1.38713 | + | 0.00247950i | ||||
\(276\) | 3.50364 | − | 14.5741i | 0.210894 | − | 0.877260i | ||||
\(277\) | 4.35669 | + | 4.35669i | 0.261768 | + | 0.261768i | 0.825772 | − | 0.564004i | \(-0.190740\pi\) |
−0.564004 | + | 0.825772i | \(0.690740\pi\) | |||||||
\(278\) | 0.682322 | + | 9.54011i | 0.0409230 | + | 0.572178i | ||||
\(279\) | −19.6050 | − | 30.5060i | −1.17372 | − | 1.82635i | ||||
\(280\) | 3.48329 | − | 4.66181i | 0.208167 | − | 0.278597i | ||||
\(281\) | 25.5276 | − | 11.6581i | 1.52285 | − | 0.695463i | 0.534154 | − | 0.845387i | \(-0.320630\pi\) |
0.988698 | + | 0.149924i | \(0.0479029\pi\) | |||||||
\(282\) | −6.82252 | + | 5.10728i | −0.406275 | + | 0.304134i | ||||
\(283\) | −5.47879 | − | 2.99164i | −0.325680 | − | 0.177835i | 0.308088 | − | 0.951358i | \(-0.400311\pi\) |
−0.633768 | + | 0.773523i | \(0.718493\pi\) | |||||||
\(284\) | −7.00962 | + | 10.9072i | −0.415945 | + | 0.647223i | ||||
\(285\) | 9.61175 | + | 4.37916i | 0.569351 | + | 0.259399i | ||||
\(286\) | −3.37429 | + | 11.4918i | −0.199526 | + | 0.679523i | ||||
\(287\) | −27.4469 | − | 1.96304i | −1.62014 | − | 0.115875i | ||||
\(288\) | −6.75148 | − | 0.482876i | −0.397835 | − | 0.0284537i | ||||
\(289\) | 0.837923 | − | 2.85370i | 0.0492896 | − | 0.167865i | ||||
\(290\) | 12.4263 | + | 5.66150i | 0.729699 | + | 0.332455i | ||||
\(291\) | 12.4243 | − | 19.3326i | 0.728326 | − | 1.13330i | ||||
\(292\) | 1.30573 | + | 0.712985i | 0.0764123 | + | 0.0417243i | ||||
\(293\) | 13.6728 | − | 10.2353i | 0.798772 | − | 0.597953i | −0.119986 | − | 0.992776i | \(-0.538285\pi\) |
0.918757 | + | 0.394823i | \(0.129194\pi\) | |||||||
\(294\) | −0.644896 | + | 0.294514i | −0.0376111 | + | 0.0171764i | ||||
\(295\) | −8.55155 | + | 11.4448i | −0.497891 | + | 0.666345i | ||||
\(296\) | −4.71830 | − | 7.34182i | −0.274246 | − | 0.426734i | ||||
\(297\) | 3.86596 | + | 54.0531i | 0.224326 | + | 3.13648i | ||||
\(298\) | 9.11124 | + | 9.11124i | 0.527800 | + | 0.527800i | ||||
\(299\) | −11.7900 | + | 4.10797i | −0.681833 | + | 0.237570i | ||||
\(300\) | −11.0305 | + | 11.0700i | −0.636848 | + | 0.639129i | ||||
\(301\) | 1.15410 | − | 1.33190i | 0.0665213 | − | 0.0767697i | ||||
\(302\) | −6.74425 | − | 1.46712i | −0.388088 | − | 0.0844234i | ||||
\(303\) | 35.3099 | + | 26.4326i | 2.02850 | + | 1.51851i | ||||
\(304\) | −0.627824 | − | 1.37474i | −0.0360082 | − | 0.0788469i | ||||
\(305\) | −13.2535 | + | 9.93992i | −0.758892 | + | 0.569158i | ||||
\(306\) | 7.14181 | + | 24.3228i | 0.408270 | + | 1.39044i | ||||
\(307\) | −2.97299 | − | 13.6666i | −0.169678 | − | 0.779996i | −0.980784 | − | 0.195097i | \(-0.937498\pi\) |
0.811106 | − | 0.584899i | \(-0.198866\pi\) | |||||||
\(308\) | 4.18421 | + | 11.2183i | 0.238418 | + | 0.639222i | ||||
\(309\) | 39.6288 | + | 11.6361i | 2.25440 | + | 0.661953i | ||||
\(310\) | 7.85295 | + | 9.04644i | 0.446018 | + | 0.513803i | ||||
\(311\) | −2.93544 | − | 3.38768i | −0.166454 | − | 0.192098i | 0.666394 | − | 0.745599i | \(-0.267837\pi\) |
−0.832848 | + | 0.553502i | \(0.813291\pi\) | |||||||
\(312\) | 3.89951 | + | 7.14143i | 0.220767 | + | 0.404304i | ||||
\(313\) | −13.5390 | + | 5.04980i | −0.765272 | + | 0.285432i | −0.701630 | − | 0.712541i | \(-0.747544\pi\) |
−0.0636414 | + | 0.997973i | \(0.520271\pi\) | |||||||
\(314\) | −11.7135 | − | 7.52782i | −0.661032 | − | 0.424820i | ||||
\(315\) | −37.7847 | + | 11.1313i | −2.12892 | + | 0.627176i | ||||
\(316\) | 4.31371 | + | 0.620217i | 0.242665 | + | 0.0348900i | ||||
\(317\) | −4.51505 | + | 12.1053i | −0.253591 | + | 0.679902i | 0.746307 | + | 0.665602i | \(0.231825\pi\) |
−0.999898 | + | 0.0143009i | \(0.995448\pi\) | |||||||
\(318\) | −11.7926 | + | 15.7531i | −0.661296 | + | 0.883388i | ||||
\(319\) | −23.6351 | + | 15.1893i | −1.32331 | + | 0.850440i | ||||
\(320\) | 2.23023 | − | 0.161513i | 0.124673 | − | 0.00902883i | ||||
\(321\) | 18.6248i | 1.03954i | ||||||||
\(322\) | −6.97440 | + | 10.3509i | −0.388668 | + | 0.576832i | ||||
\(323\) | −4.00226 | + | 4.00226i | −0.222691 | + | 0.222691i | ||||
\(324\) | 12.4770 | + | 10.8114i | 0.693169 | + | 0.600635i | ||||
\(325\) | 12.7241 | + | 2.74415i | 0.705808 | + | 0.152218i | ||||
\(326\) | −1.72031 | − | 11.9650i | −0.0952790 | − | 0.662680i | ||||
\(327\) | −2.72186 | − | 1.01520i | −0.150519 | − | 0.0561407i | ||||
\(328\) | −6.33627 | − | 8.46427i | −0.349862 | − | 0.467361i | ||||
\(329\) | 6.80895 | − | 1.99929i | 0.375389 | − | 0.110224i | ||||
\(330\) | −6.86265 | − | 31.4119i | −0.377777 | − | 1.72917i | ||||
\(331\) | −6.24039 | + | 13.6646i | −0.343003 | + | 0.751072i | −0.999996 | − | 0.00282474i | \(-0.999101\pi\) |
0.656993 | + | 0.753897i | \(0.271828\pi\) | |||||||
\(332\) | −2.15514 | + | 1.17680i | −0.118279 | + | 0.0645851i | ||||
\(333\) | −4.21417 | + | 58.9218i | −0.230935 | + | 3.22889i | ||||
\(334\) | 7.87204 | − | 6.82116i | 0.430739 | − | 0.373237i | ||||
\(335\) | 4.87786 | − | 16.6676i | 0.266506 | − | 0.910646i | ||||
\(336\) | 7.39913 | + | 3.37907i | 0.403656 | + | 0.184343i | ||||
\(337\) | 4.27843 | − | 0.930715i | 0.233061 | − | 0.0506993i | −0.0945180 | − | 0.995523i | \(-0.530131\pi\) |
0.327579 | + | 0.944824i | \(0.393767\pi\) | |||||||
\(338\) | −2.98219 | + | 5.46148i | −0.162210 | + | 0.297065i | ||||
\(339\) | 0.280101 | − | 1.94815i | 0.0152130 | − | 0.105809i | ||||
\(340\) | −3.48562 | − | 7.61443i | −0.189034 | − | 0.412950i | ||||
\(341\) | −24.3963 | + | 3.50765i | −1.32113 | + | 0.189950i | ||||
\(342\) | −2.17448 | + | 9.99592i | −0.117582 | + | 0.540517i | ||||
\(343\) | 18.7601 | − | 1.34175i | 1.01295 | − | 0.0724478i | ||||
\(344\) | 0.677172 | 0.0365107 | ||||||||
\(345\) | 22.4720 | − | 24.8679i | 1.20985 | − | 1.33884i | ||||
\(346\) | −12.6783 | −0.681590 | ||||||||
\(347\) | 13.4152 | − | 0.959472i | 0.720164 | − | 0.0515072i | 0.293554 | − | 0.955943i | \(-0.405162\pi\) |
0.426611 | + | 0.904435i | \(0.359707\pi\) | |||||||
\(348\) | −4.05720 | + | 18.6507i | −0.217489 | + | 0.999780i | ||||
\(349\) | 20.0416 | − | 2.88155i | 1.07280 | − | 0.154246i | 0.416795 | − | 0.909001i | \(-0.363153\pi\) |
0.656007 | + | 0.754755i | \(0.272244\pi\) | |||||||
\(350\) | 11.8270 | − | 5.42680i | 0.632182 | − | 0.290075i | ||||
\(351\) | 4.36410 | − | 30.3530i | 0.232938 | − | 1.62012i | ||||
\(352\) | −2.20484 | + | 4.03786i | −0.117518 | + | 0.215218i | ||||
\(353\) | 32.8698 | − | 7.15039i | 1.74948 | − | 0.380577i | 0.780010 | − | 0.625767i | \(-0.215214\pi\) |
0.969475 | + | 0.245190i | \(0.0788504\pi\) | |||||||
\(354\) | −18.1650 | − | 8.29568i | −0.965459 | − | 0.440910i | ||||
\(355\) | −25.4328 | + | 13.9169i | −1.34983 | + | 0.738632i | ||||
\(356\) | −12.2150 | + | 10.5844i | −0.647395 | + | 0.560971i | ||||
\(357\) | 2.17324 | − | 30.3858i | 0.115020 | − | 1.60819i | ||||
\(358\) | 0.631235 | − | 0.344680i | 0.0333618 | − | 0.0182169i | ||||
\(359\) | 7.61976 | − | 16.6849i | 0.402155 | − | 0.880598i | −0.594892 | − | 0.803806i | \(-0.702805\pi\) |
0.997047 | − | 0.0767917i | \(-0.0244676\pi\) | |||||||
\(360\) | −12.7400 | − | 8.17140i | −0.671455 | − | 0.430670i | ||||
\(361\) | 16.0388 | − | 4.70942i | 0.844148 | − | 0.247864i | ||||
\(362\) | 8.13185 | + | 10.8629i | 0.427400 | + | 0.570940i | ||||
\(363\) | 29.7692 | + | 11.1033i | 1.56248 | + | 0.582775i | ||||
\(364\) | −0.964221 | − | 6.70630i | −0.0505389 | − | 0.351506i | ||||
\(365\) | 1.80101 | + | 2.79693i | 0.0942692 | + | 0.146398i | ||||
\(366\) | −17.5004 | − | 15.1642i | −0.914762 | − | 0.792646i | ||||
\(367\) | 8.88352 | − | 8.88352i | 0.463716 | − | 0.463716i | −0.436155 | − | 0.899871i | \(-0.643660\pi\) |
0.899871 | + | 0.436155i | \(0.143660\pi\) | |||||||
\(368\) | −4.76072 | + | 0.579236i | −0.248170 | + | 0.0301948i | ||||
\(369\) | 71.5670i | 3.72563i | ||||||||
\(370\) | −1.40956 | − | 19.4637i | −0.0732794 | − | 1.01187i | ||||
\(371\) | 13.7843 | − | 8.85864i | 0.715646 | − | 0.459918i | ||||
\(372\) | −10.0346 | + | 13.4046i | −0.520268 | + | 0.694997i | ||||
\(373\) | −3.12260 | + | 8.37203i | −0.161682 | + | 0.433487i | −0.992377 | − | 0.123242i | \(-0.960671\pi\) |
0.830694 | + | 0.556729i | \(0.187944\pi\) | |||||||
\(374\) | 17.0544 | + | 2.45205i | 0.881861 | + | 0.126793i | ||||
\(375\) | −33.5021 | + | 9.93476i | −1.73004 | + | 0.513029i | ||||
\(376\) | 2.29387 | + | 1.47418i | 0.118297 | + | 0.0760251i | ||||
\(377\) | 14.8957 | − | 5.55582i | 0.767169 | − | 0.286139i | ||||
\(378\) | −14.6917 | − | 26.9058i | −0.755658 | − | 1.38388i | ||||
\(379\) | 8.15891 | + | 9.41588i | 0.419095 | + | 0.483661i | 0.925561 | − | 0.378599i | \(-0.123594\pi\) |
−0.506466 | + | 0.862260i | \(0.669048\pi\) | |||||||
\(380\) | 0.238071 | − | 3.37101i | 0.0122128 | − | 0.172929i | ||||
\(381\) | −7.77058 | − | 2.28165i | −0.398099 | − | 0.116892i | ||||
\(382\) | −6.17504 | − | 16.5559i | −0.315942 | − | 0.847075i | ||||
\(383\) | 1.89043 | + | 8.69015i | 0.0965963 | + | 0.444046i | 0.999887 | + | 0.0150175i | \(0.00478040\pi\) |
−0.903291 | + | 0.429029i | \(0.858856\pi\) | |||||||
\(384\) | 0.880554 | + | 2.99889i | 0.0449356 | + | 0.153037i | ||||
\(385\) | −3.78650 | + | 26.5038i | −0.192978 | + | 1.35076i | ||||
\(386\) | 5.68514 | + | 12.4487i | 0.289366 | + | 0.633623i | ||||
\(387\) | −3.66936 | − | 2.74685i | −0.186524 | − | 0.139630i | ||||
\(388\) | −7.18462 | − | 1.56292i | −0.364744 | − | 0.0793452i | ||||
\(389\) | 18.6433 | − | 21.5155i | 0.945253 | − | 1.09088i | −0.0504916 | − | 0.998724i | \(-0.516079\pi\) |
0.995745 | − | 0.0921556i | \(-0.0293757\pi\) | |||||||
\(390\) | 0.0162611 | + | 18.1943i | 0.000823414 | + | 0.921302i | ||||
\(391\) | 8.26327 | + | 15.9472i | 0.417891 | + | 0.806483i | ||||
\(392\) | 0.160395 | + | 0.160395i | 0.00810115 | + | 0.00810115i | ||||
\(393\) | −4.69938 | − | 65.7059i | −0.237052 | − | 3.31442i | ||||
\(394\) | 9.51062 | + | 14.7988i | 0.479138 | + | 0.745553i | ||||
\(395\) | 7.80644 | + | 5.83295i | 0.392784 | + | 0.293487i | ||||
\(396\) | 28.3262 | − | 12.9361i | 1.42344 | − | 0.650065i | ||||
\(397\) | 14.5007 | − | 10.8551i | 0.727767 | − | 0.544800i | −0.169907 | − | 0.985460i | \(-0.554347\pi\) |
0.897674 | + | 0.440660i | \(0.145256\pi\) | |||||||
\(398\) | −17.7292 | − | 9.68089i | −0.888686 | − | 0.485259i | ||||
\(399\) | 6.64629 | − | 10.3418i | 0.332731 | − | 0.517739i | ||||
\(400\) | 4.55187 | + | 2.06894i | 0.227593 | + | 0.103447i | ||||
\(401\) | −9.50070 | + | 32.3564i | −0.474442 | + | 1.61580i | 0.280392 | + | 0.959886i | \(0.409536\pi\) |
−0.754834 | + | 0.655916i | \(0.772283\pi\) | |||||||
\(402\) | 24.2127 | + | 1.73172i | 1.20762 | + | 0.0863705i | ||||
\(403\) | 13.9115 | + | 0.994970i | 0.692981 | + | 0.0495630i | ||||
\(404\) | 3.97585 | − | 13.5405i | 0.197806 | − | 0.673665i | ||||
\(405\) | 12.9319 | + | 34.5772i | 0.642589 | + | 1.71816i | ||||
\(406\) | 8.59251 | − | 13.3702i | 0.426439 | − | 0.663552i | ||||
\(407\) | 35.2393 | + | 19.2421i | 1.74675 | + | 0.953796i | ||||
\(408\) | 9.37059 | − | 7.01473i | 0.463913 | − | 0.347281i | ||||
\(409\) | −24.1954 | + | 11.0497i | −1.19639 | + | 0.546372i | −0.911146 | − | 0.412084i | \(-0.864801\pi\) |
−0.285241 | + | 0.958456i | \(0.592074\pi\) | |||||||
\(410\) | −3.38557 | − | 23.3987i | −0.167201 | − | 1.15558i | ||||
\(411\) | −8.31361 | − | 12.9362i | −0.410080 | − | 0.638097i | ||||
\(412\) | −0.942711 | − | 13.1808i | −0.0464440 | − | 0.649372i | ||||
\(413\) | 11.7580 | + | 11.7580i | 0.578571 | + | 0.578571i | ||||
\(414\) | 28.1463 | + | 16.1725i | 1.38331 | + | 0.794834i | ||||
\(415\) | −5.49067 | + | 0.00490729i | −0.269526 | + | 0.000240889i | ||||
\(416\) | 1.70482 | − | 1.96747i | 0.0835858 | − | 0.0964632i | ||||
\(417\) | −29.2106 | − | 6.35437i | −1.43045 | − | 0.311175i | ||||
\(418\) | 5.56614 | + | 4.16676i | 0.272249 | + | 0.203803i | ||||
\(419\) | −6.02766 | − | 13.1987i | −0.294470 | − | 0.644800i | 0.703346 | − | 0.710847i | \(-0.251688\pi\) |
−0.997816 | + | 0.0660475i | \(0.978961\pi\) | |||||||
\(420\) | 10.9130 | + | 14.5510i | 0.532502 | + | 0.710016i | ||||
\(421\) | 2.59875 | + | 8.85054i | 0.126656 | + | 0.431349i | 0.998267 | − | 0.0588484i | \(-0.0187428\pi\) |
−0.871611 | + | 0.490197i | \(0.836925\pi\) | |||||||
\(422\) | 0.701612 | + | 3.22526i | 0.0341539 | + | 0.157003i | ||||
\(423\) | −6.44988 | − | 17.2928i | −0.313604 | − | 0.840805i | ||||
\(424\) | 6.04093 | + | 1.77378i | 0.293374 | + | 0.0861423i | ||||
\(425\) | 1.30248 | − | 18.6802i | 0.0631793 | − | 0.906122i | ||||
\(426\) | −26.5371 | − | 30.6255i | −1.28573 | − | 1.48381i | ||||
\(427\) | 9.24079 | + | 16.9232i | 0.447193 | + | 0.818973i | ||||
\(428\) | 5.58328 | − | 2.08246i | 0.269878 | − | 0.100659i | ||||
\(429\) | −31.4914 | − | 20.2383i | −1.52042 | − | 0.977113i | ||||
\(430\) | 1.32963 | + | 0.724492i | 0.0641206 | + | 0.0349381i | ||||
\(431\) | −23.2189 | − | 3.33838i | −1.11842 | − | 0.160804i | −0.441782 | − | 0.897123i | \(-0.645653\pi\) |
−0.676635 | + | 0.736319i | \(0.736562\pi\) | |||||||
\(432\) | 4.11639 | − | 11.0365i | 0.198050 | − | 0.530992i | ||||
\(433\) | −8.98558 | + | 12.0033i | −0.431820 | + | 0.576843i | −0.962689 | − | 0.270610i | \(-0.912775\pi\) |
0.530869 | + | 0.847454i | \(0.321865\pi\) | |||||||
\(434\) | 11.7294 | − | 7.53800i | 0.563027 | − | 0.361836i | ||||
\(435\) | −27.9203 | + | 32.2800i | −1.33868 | + | 1.54771i | ||||
\(436\) | 0.929459i | 0.0445130i | ||||||||
\(437\) | −0.157451 | + | 7.24631i | −0.00753189 | + | 0.346638i | ||||
\(438\) | −3.28794 | + | 3.28794i | −0.157104 | + | 0.157104i | ||||
\(439\) | −3.74540 | − | 3.24541i | −0.178758 | − | 0.154895i | 0.560886 | − | 0.827893i | \(-0.310461\pi\) |
−0.739644 | + | 0.672998i | \(0.765006\pi\) | |||||||
\(440\) | −8.64923 | + | 5.56945i | −0.412336 | + | 0.265513i | ||||
\(441\) | −0.218505 | − | 1.51974i | −0.0104050 | − | 0.0723685i | ||||
\(442\) | −9.13505 | − | 3.40720i | −0.434510 | − | 0.162064i | ||||
\(443\) | −19.8275 | − | 26.4865i | −0.942034 | − | 1.25841i | −0.965959 | − | 0.258696i | \(-0.916707\pi\) |
0.0239248 | − | 0.999714i | \(-0.492384\pi\) | |||||||
\(444\) | 26.1720 | − | 7.68480i | 1.24207 | − | 0.364705i | ||||
\(445\) | −35.3083 | + | 7.71390i | −1.67377 | + | 0.365674i | ||||
\(446\) | 2.92629 | − | 6.40768i | 0.138564 | − | 0.303412i | ||||
\(447\) | −35.3466 | + | 19.3007i | −1.67184 | + | 0.912891i | ||||
\(448\) | 0.185662 | − | 2.59590i | 0.00877173 | − | 0.122645i | ||||
\(449\) | 7.55683 | − | 6.54803i | 0.356629 | − | 0.309021i | −0.458057 | − | 0.888923i | \(-0.651455\pi\) |
0.814686 | + | 0.579902i | \(0.196909\pi\) | |||||||
\(450\) | −16.2726 | − | 29.6748i | −0.767098 | − | 1.39888i | ||||
\(451\) | 44.2473 | + | 20.2070i | 2.08352 | + | 0.951513i | ||||
\(452\) | −0.615327 | + | 0.133856i | −0.0289425 | + | 0.00629606i | ||||
\(453\) | 10.3384 | − | 18.9334i | 0.485741 | − | 0.889569i | ||||
\(454\) | −0.908178 | + | 6.31652i | −0.0426229 | + | 0.296449i | ||||
\(455\) | 5.28168 | − | 14.1995i | 0.247609 | − | 0.665681i | ||||
\(456\) | 4.67554 | − | 0.672241i | 0.218952 | − | 0.0314806i | ||||
\(457\) | 0.953406 | − | 4.38274i | 0.0445985 | − | 0.205016i | −0.949456 | − | 0.313900i | \(-0.898364\pi\) |
0.994054 | + | 0.108884i | \(0.0347279\pi\) | |||||||
\(458\) | 0.738575 | − | 0.0528239i | 0.0345113 | − | 0.00246830i | ||||
\(459\) | −44.1142 | −2.05907 | ||||||||
\(460\) | −9.96743 | − | 3.95606i | −0.464734 | − | 0.184452i | ||||
\(461\) | −34.9162 | −1.62621 | −0.813106 | − | 0.582116i | \(-0.802225\pi\) | ||||
−0.813106 | + | 0.582116i | \(0.802225\pi\) | |||||||
\(462\) | −37.3269 | + | 2.66967i | −1.73661 | + | 0.124204i | ||||
\(463\) | −5.13139 | + | 23.5886i | −0.238476 | + | 1.09626i | 0.689695 | + | 0.724100i | \(0.257745\pi\) |
−0.928170 | + | 0.372155i | \(0.878619\pi\) | |||||||
\(464\) | 6.04466 | − | 0.869091i | 0.280616 | − | 0.0403465i | ||||
\(465\) | −34.0443 | + | 15.5843i | −1.57876 | + | 0.722703i | ||||
\(466\) | −3.39467 | + | 23.6104i | −0.157255 | + | 1.09373i | ||||
\(467\) | 15.2624 | − | 27.9510i | 0.706260 | − | 1.29342i | −0.240239 | − | 0.970714i | \(-0.577226\pi\) |
0.946499 | − | 0.322706i | \(-0.104592\pi\) | |||||||
\(468\) | −17.2186 | + | 3.74567i | −0.795929 | + | 0.173144i | ||||
\(469\) | −18.3863 | − | 8.39672i | −0.848998 | − | 0.387724i | ||||
\(470\) | 2.92684 | + | 5.34873i | 0.135005 | + | 0.246719i | ||||
\(471\) | 32.8895 | − | 28.4989i | 1.51547 | − | 1.31316i | ||||
\(472\) | −0.455805 | + | 6.37298i | −0.0209801 | + | 0.293340i | ||||
\(473\) | −2.73432 | + | 1.49305i | −0.125724 | + | 0.0686507i | ||||
\(474\) | −5.65842 | + | 12.3902i | −0.259900 | + | 0.569101i | ||||
\(475\) | 4.07403 | − | 6.36430i | 0.186929 | − | 0.292014i | ||||
\(476\) | −9.35194 | + | 2.74598i | −0.428646 | + | 0.125862i | ||||
\(477\) | −25.5386 | − | 34.1156i | −1.16933 | − | 1.56205i | ||||
\(478\) | 15.2529 | + | 5.68903i | 0.697651 | + | 0.260210i | ||||
\(479\) | −0.570408 | − | 3.96728i | −0.0260626 | − | 0.181269i | 0.972632 | − | 0.232352i | \(-0.0746420\pi\) |
−0.998694 | + | 0.0510823i | \(0.983733\pi\) | |||||||
\(480\) | −1.47948 | + | 6.83043i | −0.0675286 | + | 0.311765i | ||||
\(481\) | −17.1706 | − | 14.8784i | −0.782911 | − | 0.678396i | ||||
\(482\) | 13.7607 | − | 13.7607i | 0.626781 | − | 0.626781i | ||||
\(483\) | −24.8998 | − | 30.0300i | −1.13298 | − | 1.36641i | ||||
\(484\) | − | 10.1656i | − | 0.462072i | ||||||
\(485\) | −12.4349 | − | 10.7555i | −0.564641 | − | 0.488381i | ||||
\(486\) | −13.6813 | + | 8.79241i | −0.620594 | + | 0.398832i | ||||
\(487\) | −18.1404 | + | 24.2327i | −0.822019 | + | 1.09809i | 0.171585 | + | 0.985169i | \(0.445111\pi\) |
−0.993604 | + | 0.112920i | \(0.963980\pi\) | |||||||
\(488\) | −2.58913 | + | 6.94174i | −0.117205 | + | 0.314238i | ||||
\(489\) | 37.3966 | + | 5.37682i | 1.69113 | + | 0.243148i | ||||
\(490\) | 0.143333 | + | 0.486539i | 0.00647513 | + | 0.0219796i | ||||
\(491\) | 4.91636 | + | 3.15956i | 0.221872 | + | 0.142589i | 0.646856 | − | 0.762613i | \(-0.276084\pi\) |
−0.424983 | + | 0.905201i | \(0.639720\pi\) | |||||||
\(492\) | 30.9628 | − | 11.5485i | 1.39591 | − | 0.520649i | ||||
\(493\) | −10.9608 | − | 20.0731i | −0.493648 | − | 0.904048i | ||||
\(494\) | −2.57653 | − | 2.97347i | −0.115923 | − | 0.133783i | ||||
\(495\) | 69.4587 | + | 4.90539i | 3.12194 | + | 0.220481i | ||||
\(496\) | 5.14036 | + | 1.50935i | 0.230809 | + | 0.0677716i | ||||
\(497\) | 11.7919 | + | 31.6154i | 0.528940 | + | 1.41814i | ||||
\(498\) | −1.63137 | − | 7.49927i | −0.0731033 | − | 0.336050i | ||||
\(499\) | 10.4192 | + | 35.4845i | 0.466427 | + | 1.58851i | 0.771535 | + | 0.636187i | \(0.219489\pi\) |
−0.305108 | + | 0.952318i | \(0.598692\pi\) | |||||||
\(500\) | 6.72410 | + | 8.93233i | 0.300711 | + | 0.399466i | ||||
\(501\) | 13.5242 | + | 29.6138i | 0.604215 | + | 1.32305i | ||||
\(502\) | 10.2841 | + | 7.69860i | 0.459003 | + | 0.343605i | ||||
\(503\) | −5.38101 | − | 1.17057i | −0.239928 | − | 0.0521930i | 0.0909935 | − | 0.995851i | \(-0.470996\pi\) |
−0.330921 | + | 0.943658i | \(0.607359\pi\) | |||||||
\(504\) | −11.5359 | + | 13.3132i | −0.513850 | + | 0.593015i | ||||
\(505\) | 22.2933 | − | 22.3332i | 0.992040 | − | 0.993814i | ||||
\(506\) | 17.9460 | − | 12.8355i | 0.797797 | − | 0.570607i | ||||
\(507\) | −13.7524 | − | 13.7524i | −0.610766 | − | 0.610766i | ||||
\(508\) | 0.184850 | + | 2.58455i | 0.00820141 | + | 0.114671i | ||||
\(509\) | 19.3176 | + | 30.0587i | 0.856237 | + | 1.33233i | 0.941861 | + | 0.336003i | \(0.109075\pi\) |
−0.0856244 | + | 0.996327i | \(0.527289\pi\) | |||||||
\(510\) | 25.9041 | − | 3.74809i | 1.14705 | − | 0.165968i | ||||
\(511\) | 3.52193 | − | 1.60841i | 0.155801 | − | 0.0711520i | ||||
\(512\) | 0.800541 | − | 0.599278i | 0.0353793 | − | 0.0264846i | ||||
\(513\) | −15.6245 | − | 8.53160i | −0.689837 | − | 0.376680i | ||||
\(514\) | −2.05225 | + | 3.19336i | −0.0905207 | + | 0.140853i | ||||
\(515\) | 12.2509 | − | 26.8892i | 0.539837 | − | 1.18488i | ||||
\(516\) | −0.596287 | + | 2.03077i | −0.0262501 | + | 0.0893995i | ||||
\(517\) | −12.5127 | − | 0.894923i | −0.550306 | − | 0.0393586i | ||||
\(518\) | −22.6550 | − | 1.62032i | −0.995405 | − | 0.0711928i | ||||
\(519\) | 11.1639 | − | 38.0209i | 0.490043 | − | 1.66893i | ||||
\(520\) | 5.45239 | − | 2.03919i | 0.239103 | − | 0.0894243i | ||||
\(521\) | −10.7141 | + | 16.6715i | −0.469394 | + | 0.730391i | −0.992549 | − | 0.121846i | \(-0.961118\pi\) |
0.523155 | + | 0.852238i | \(0.324755\pi\) | |||||||
\(522\) | −36.2792 | − | 19.8100i | −1.58790 | − | 0.867058i | ||||
\(523\) | 9.06364 | − | 6.78495i | 0.396325 | − | 0.296685i | −0.382465 | − | 0.923970i | \(-0.624925\pi\) |
0.778790 | + | 0.627285i | \(0.215834\pi\) | |||||||
\(524\) | −19.1716 | + | 8.75539i | −0.837516 | + | 0.382481i | ||||
\(525\) | 5.86004 | + | 40.2466i | 0.255753 | + | 1.75651i | ||||
\(526\) | 5.51040 | + | 8.57436i | 0.240265 | + | 0.373860i | ||||
\(527\) | −1.43134 | − | 20.0128i | −0.0623503 | − | 0.871771i | ||||
\(528\) | −10.1676 | − | 10.1676i | −0.442489 | − | 0.442489i | ||||
\(529\) | 21.7660 | + | 7.43230i | 0.946350 | + | 0.323143i | ||||
\(530\) | 9.96369 | + | 9.94589i | 0.432795 | + | 0.432022i | ||||
\(531\) | 28.3209 | − | 32.6840i | 1.22902 | − | 1.41837i | ||||
\(532\) | −3.84336 | − | 0.836073i | −0.166631 | − | 0.0362483i | ||||
\(533\) | −22.0353 | − | 16.4954i | −0.954456 | − | 0.714497i | ||||
\(534\) | −20.9854 | − | 45.9517i | −0.908128 | − | 1.98852i | ||||
\(535\) | 13.1908 | + | 1.88452i | 0.570287 | + | 0.0814748i | ||||
\(536\) | −2.18811 | − | 7.45201i | −0.0945118 | − | 0.321878i | ||||
\(537\) | 0.477822 | + | 2.19651i | 0.0206196 | + | 0.0947866i | ||||
\(538\) | 0.105073 | + | 0.281711i | 0.00453001 | + | 0.0121454i | ||||
\(539\) | −1.00129 | − | 0.294007i | −0.0431288 | − | 0.0126638i | ||||
\(540\) | 19.8902 | − | 17.2661i | 0.855940 | − | 0.743016i | ||||
\(541\) | 10.8010 | + | 12.4650i | 0.464372 | + | 0.535914i | 0.938838 | − | 0.344360i | \(-0.111904\pi\) |
−0.474466 | + | 0.880274i | \(0.657359\pi\) | |||||||
\(542\) | −0.143901 | − | 0.263535i | −0.00618109 | − | 0.0113198i | ||||
\(543\) | −39.7371 | + | 14.8212i | −1.70528 | + | 0.636038i | ||||
\(544\) | −3.15058 | − | 2.02476i | −0.135080 | − | 0.0868108i | ||||
\(545\) | −0.994409 | + | 1.82500i | −0.0425958 | + | 0.0781744i | ||||
\(546\) | 20.9605 | + | 3.01367i | 0.897028 | + | 0.128973i | ||||
\(547\) | −15.7931 | + | 42.3431i | −0.675266 | + | 1.81046i | −0.0959013 | + | 0.995391i | \(0.530573\pi\) |
−0.579365 | + | 0.815068i | \(0.696699\pi\) | |||||||
\(548\) | −2.94842 | + | 3.93863i | −0.125950 | + | 0.168250i | ||||
\(549\) | 42.1877 | − | 27.1124i | 1.80053 | − | 1.15713i | ||||
\(550\) | −22.9415 | + | 1.68203i | −0.978227 | + | 0.0717219i | ||||
\(551\) | − | 9.22935i | − | 0.393183i | ||||||
\(552\) | 2.45501 | − | 14.7869i | 0.104492 | − | 0.629374i | ||||
\(553\) | 8.02001 | − | 8.02001i | 0.341045 | − | 0.341045i | ||||
\(554\) | 4.65639 | + | 4.03479i | 0.197831 | + | 0.171422i | ||||
\(555\) | 59.6108 | + | 12.9117i | 2.53034 | + | 0.548073i | ||||
\(556\) | 1.36117 | + | 9.46713i | 0.0577264 | + | 0.401496i | ||||
\(557\) | 5.94246 | + | 2.21642i | 0.251790 | + | 0.0939128i | 0.472190 | − | 0.881497i | \(-0.343464\pi\) |
−0.220400 | + | 0.975410i | \(0.570736\pi\) | |||||||
\(558\) | −21.7313 | − | 29.0297i | −0.919961 | − | 1.22892i | ||||
\(559\) | 1.69150 | − | 0.496668i | 0.0715427 | − | 0.0210068i | ||||
\(560\) | 3.14185 | − | 4.89843i | 0.132767 | − | 0.206997i | ||||
\(561\) | −22.3707 | + | 48.9851i | −0.944494 | + | 2.06815i | ||||
\(562\) | 24.6309 | − | 13.4495i | 1.03899 | − | 0.567333i | ||||
\(563\) | 0.280753 | − | 3.92544i | 0.0118323 | − | 0.165438i | −0.988100 | − | 0.153812i | \(-0.950845\pi\) |
0.999932 | − | 0.0116254i | \(-0.00370058\pi\) | |||||||
\(564\) | −6.44079 | + | 5.58098i | −0.271206 | + | 0.235002i | ||||
\(565\) | −1.35141 | − | 0.395498i | −0.0568542 | − | 0.0166387i | ||||
\(566\) | −5.67825 | − | 2.59317i | −0.238675 | − | 0.108999i | ||||
\(567\) | 41.9846 | − | 9.13318i | 1.76319 | − | 0.383558i | ||||
\(568\) | −6.21365 | + | 11.3795i | −0.260719 | + | 0.477472i | ||||
\(569\) | 5.74397 | − | 39.9502i | 0.240800 | − | 1.67480i | −0.407340 | − | 0.913277i | \(-0.633543\pi\) |
0.648139 | − | 0.761522i | \(-0.275547\pi\) | |||||||
\(570\) | 9.89967 | + | 3.68231i | 0.414651 | + | 0.154235i | ||||
\(571\) | −17.5505 | + | 2.52338i | −0.734466 | + | 0.105600i | −0.499391 | − | 0.866377i | \(-0.666443\pi\) |
−0.235075 | + | 0.971977i | \(0.575534\pi\) | |||||||
\(572\) | −2.54588 | + | 11.7032i | −0.106449 | + | 0.489336i | ||||
\(573\) | 55.0869 | − | 3.93989i | 2.30129 | − | 0.164591i | ||||
\(574\) | −27.5170 | −1.14854 | ||||||||
\(575\) | −15.3386 | − | 18.4317i | −0.639664 | − | 0.768655i | ||||
\(576\) | −6.76873 | −0.282030 | ||||||||
\(577\) | 9.46769 | − | 0.677143i | 0.394145 | − | 0.0281898i | 0.127140 | − | 0.991885i | \(-0.459420\pi\) |
0.267006 | + | 0.963695i | \(0.413966\pi\) | |||||||
\(578\) | 0.632207 | − | 2.90621i | 0.0262964 | − | 0.120882i | ||||
\(579\) | −42.3384 | + | 6.08735i | −1.75952 | + | 0.252981i | ||||
\(580\) | 12.7986 | + | 4.76059i | 0.531431 | + | 0.197673i | ||||
\(581\) | −0.909466 | + | 6.32547i | −0.0377310 | + | 0.262425i | ||||
\(582\) | 11.0135 | − | 20.1697i | 0.456523 | − | 0.836060i | ||||
\(583\) | −28.3033 | + | 6.15701i | −1.17220 | + | 0.254997i | ||||
\(584\) | 1.35327 | + | 0.618018i | 0.0559988 | + | 0.0255738i | ||||
\(585\) | −37.8162 | − | 11.0671i | −1.56351 | − | 0.457570i | ||||
\(586\) | 12.9078 | − | 11.1846i | 0.533214 | − | 0.462033i | ||||
\(587\) | 1.38655 | − | 19.3865i | 0.0572291 | − | 0.800168i | −0.885083 | − | 0.465433i | \(-0.845899\pi\) |
0.942312 | − | 0.334735i | \(-0.108647\pi\) | |||||||
\(588\) | −0.622242 | + | 0.339770i | −0.0256608 | + | 0.0140119i | ||||
\(589\) | 3.36348 | − | 7.36500i | 0.138590 | − | 0.303470i | ||||
\(590\) | −7.71330 | + | 12.0257i | −0.317551 | + | 0.495092i | ||||
\(591\) | −52.7547 | + | 15.4902i | −2.17004 | + | 0.637180i | ||||
\(592\) | −5.23004 | − | 6.98651i | −0.214953 | − | 0.287144i | ||||
\(593\) | −38.9367 | − | 14.5226i | −1.59894 | − | 0.596373i | −0.617232 | − | 0.786781i | \(-0.711746\pi\) |
−0.981705 | + | 0.190408i | \(0.939019\pi\) | |||||||
\(594\) | 7.71221 | + | 53.6396i | 0.316436 | + | 2.20086i | ||||
\(595\) | −21.3005 | − | 4.61370i | −0.873234 | − | 0.189143i | ||||
\(596\) | 9.73802 | + | 8.43804i | 0.398885 | + | 0.345636i | ||||
\(597\) | 44.6435 | − | 44.6435i | 1.82714 | − | 1.82714i | ||||
\(598\) | −11.4669 | + | 4.93859i | −0.468916 | + | 0.201954i | ||||
\(599\) | − | 38.9627i | − | 1.59197i | −0.605315 | − | 0.795986i | \(-0.706953\pi\) | ||
0.605315 | − | 0.795986i | \(-0.293047\pi\) | |||||||
\(600\) | −10.2127 | + | 11.8287i | −0.416932 | + | 0.482906i | ||||
\(601\) | −1.12932 | + | 0.725767i | −0.0460658 | + | 0.0296047i | −0.563471 | − | 0.826136i | \(-0.690534\pi\) |
0.517405 | + | 0.855740i | \(0.326898\pi\) | |||||||
\(602\) | 1.05614 | − | 1.41084i | 0.0430452 | − | 0.0575017i | ||||
\(603\) | −18.3714 | + | 49.2555i | −0.748140 | + | 2.00584i | ||||
\(604\) | −6.83173 | − | 0.982255i | −0.277979 | − | 0.0399674i | ||||
\(605\) | 10.8759 | − | 19.9602i | 0.442170 | − | 0.811497i | ||||
\(606\) | 37.1056 | + | 23.8463i | 1.50731 | + | 0.968690i | ||||
\(607\) | 27.1219 | − | 10.1159i | 1.10084 | − | 0.410593i | 0.267616 | − | 0.963526i | \(-0.413764\pi\) |
0.833226 | + | 0.552933i | \(0.186491\pi\) | |||||||
\(608\) | −0.724297 | − | 1.32645i | −0.0293741 | − | 0.0537947i | ||||
\(609\) | 32.5296 | + | 37.5412i | 1.31817 | + | 1.52125i | ||||
\(610\) | −12.5106 | + | 10.8601i | −0.506539 | + | 0.439712i | ||||
\(611\) | 6.81105 | + | 1.99991i | 0.275546 | + | 0.0809075i | ||||
\(612\) | 8.85878 | + | 23.7513i | 0.358095 | + | 0.960090i | ||||
\(613\) | −2.07887 | − | 9.55639i | −0.0839646 | − | 0.385979i | 0.915917 | − | 0.401368i | \(-0.131465\pi\) |
−0.999882 | + | 0.0153887i | \(0.995101\pi\) | |||||||
\(614\) | −3.94038 | − | 13.4197i | −0.159021 | − | 0.541576i | ||||
\(615\) | 73.1513 | + | 10.4508i | 2.94975 | + | 0.421419i | ||||
\(616\) | 4.97386 | + | 10.8912i | 0.200402 | + | 0.438820i | ||||
\(617\) | 10.7550 | + | 8.05106i | 0.432978 | + | 0.324124i | 0.793438 | − | 0.608651i | \(-0.208289\pi\) |
−0.360459 | + | 0.932775i | \(0.617380\pi\) | |||||||
\(618\) | 40.3580 | + | 8.77934i | 1.62344 | + | 0.353157i | ||||
\(619\) | −2.29681 | + | 2.65066i | −0.0923165 | + | 0.106539i | −0.800028 | − | 0.599962i | \(-0.795182\pi\) |
0.707712 | + | 0.706501i | \(0.249728\pi\) | |||||||
\(620\) | 8.47831 | + | 8.46317i | 0.340497 | + | 0.339889i | ||||
\(621\) | −40.8033 | + | 39.0679i | −1.63738 | + | 1.56774i | ||||
\(622\) | −3.16964 | − | 3.16964i | −0.127091 | − | 0.127091i | ||||
\(623\) | 3.00082 | + | 41.9570i | 0.120225 | + | 1.68097i | ||||
\(624\) | 4.39904 | + | 6.84504i | 0.176103 | + | 0.274021i | ||||
\(625\) | 3.64631 | + | 24.7327i | 0.145853 | + | 0.989306i | ||||
\(626\) | −13.1443 | + | 6.00280i | −0.525352 | + | 0.239920i | ||||
\(627\) | −17.3970 | + | 13.0232i | −0.694768 | + | 0.520097i | ||||
\(628\) | −12.2207 | − | 6.67301i | −0.487659 | − | 0.266282i | ||||
\(629\) | −17.6705 | + | 27.4959i | −0.704570 | + | 1.09633i | ||||
\(630\) | −36.8943 | + | 13.7984i | −1.46990 | + | 0.549743i | ||||
\(631\) | 3.84888 | − | 13.1081i | 0.153222 | − | 0.521825i | −0.846726 | − | 0.532029i | \(-0.821430\pi\) |
0.999948 | + | 0.0102039i | \(0.00324805\pi\) | |||||||
\(632\) | 4.34696 | + | 0.310901i | 0.172913 | + | 0.0123670i | ||||
\(633\) | −10.2900 | − | 0.735956i | −0.408991 | − | 0.0292516i | ||||
\(634\) | −3.63996 | + | 12.3966i | −0.144561 | + | 0.492331i | ||||
\(635\) | −2.40220 | + | 5.27254i | −0.0953283 | + | 0.209234i | ||||
\(636\) | −10.6387 | + | 16.5542i | −0.421853 | + | 0.656417i | ||||
\(637\) | 0.518288 | + | 0.283007i | 0.0205353 | + | 0.0112131i | ||||
\(638\) | −22.4913 | + | 16.8368i | −0.890438 | + | 0.666574i | ||||
\(639\) | 79.8286 | − | 36.4565i | 3.15797 | − | 1.44220i | ||||
\(640\) | 2.21302 | − | 0.320204i | 0.0874774 | − | 0.0126572i | ||||
\(641\) | 4.47438 | + | 6.96227i | 0.176727 | + | 0.274993i | 0.918305 | − | 0.395874i | \(-0.129558\pi\) |
−0.741577 | + | 0.670867i | \(0.765922\pi\) | |||||||
\(642\) | 1.32868 | + | 18.5774i | 0.0524388 | + | 0.733190i | ||||
\(643\) | 3.79292 | + | 3.79292i | 0.149578 | + | 0.149578i | 0.777930 | − | 0.628351i | \(-0.216270\pi\) |
−0.628351 | + | 0.777930i | \(0.716270\pi\) | |||||||
\(644\) | −6.21821 | + | 10.8220i | −0.245032 | + | 0.426448i | ||||
\(645\) | −3.34349 | + | 3.34947i | −0.131650 | + | 0.131885i | ||||
\(646\) | −3.70654 | + | 4.27758i | −0.145832 | + | 0.168299i | ||||
\(647\) | 6.21375 | + | 1.35172i | 0.244288 | + | 0.0531415i | 0.333042 | − | 0.942912i | \(-0.391925\pi\) |
−0.0887542 | + | 0.996054i | \(0.528289\pi\) | |||||||
\(648\) | 13.2165 | + | 9.89377i | 0.519194 | + | 0.388664i | ||||
\(649\) | −12.2109 | − | 26.7382i | −0.479320 | − | 1.04956i | ||||
\(650\) | 12.8875 | + | 1.82943i | 0.505489 | + | 0.0717563i | ||||
\(651\) | 12.2773 | + | 41.8127i | 0.481186 | + | 1.63877i | ||||
\(652\) | −2.56950 | − | 11.8118i | −0.100629 | − | 0.462585i | ||||
\(653\) | 1.87799 | + | 5.03508i | 0.0734913 | + | 0.197038i | 0.968501 | − | 0.249008i | \(-0.0801046\pi\) |
−0.895010 | + | 0.446046i | \(0.852832\pi\) | |||||||
\(654\) | −2.78735 | − | 0.818439i | −0.108994 | − | 0.0320035i | ||||
\(655\) | −47.0108 | − | 3.32005i | −1.83686 | − | 0.129725i | ||||
\(656\) | −6.92396 | − | 7.99068i | −0.270335 | − | 0.311983i | ||||
\(657\) | −4.82600 | − | 8.83816i | −0.188280 | − | 0.344810i | ||||
\(658\) | 6.64897 | − | 2.47994i | 0.259204 | − | 0.0966780i | ||||
\(659\) | −4.73466 | − | 3.04278i | −0.184436 | − | 0.118530i | 0.445165 | − | 0.895449i | \(-0.353145\pi\) |
−0.629601 | + | 0.776919i | \(0.716782\pi\) | |||||||
\(660\) | −9.08607 | − | 30.8423i | −0.353675 | − | 1.20053i | ||||
\(661\) | −31.5886 | − | 4.54176i | −1.22865 | − | 0.176654i | −0.502739 | − | 0.864438i | \(-0.667674\pi\) |
−0.725915 | + | 0.687784i | \(0.758584\pi\) | |||||||
\(662\) | −5.24968 | + | 14.0749i | −0.204034 | + | 0.547038i | ||||
\(663\) | 18.2617 | − | 24.3948i | 0.709226 | − | 0.947415i | ||||
\(664\) | −2.06570 | + | 1.32754i | −0.0801647 | + | 0.0515187i | ||||
\(665\) | −6.65197 | − | 5.75357i | −0.257952 | − | 0.223114i | ||||
\(666\) | 59.0723i | 2.28900i | ||||||||
\(667\) | −27.9151 | − | 8.85968i | −1.08088 | − | 0.343048i | ||||
\(668\) | 7.36537 | − | 7.36537i | 0.284975 | − | 0.284975i | ||||
\(669\) | 16.6392 | + | 14.4179i | 0.643308 | + | 0.557430i | ||||
\(670\) | 3.67638 | − | 16.9731i | 0.142031 | − | 0.655727i | ||||
\(671\) | −4.85084 | − | 33.7383i | −0.187265 | − | 1.30245i | ||||
\(672\) | 7.62134 | + | 2.84261i | 0.293999 | + | 0.109656i | ||||
\(673\) | −1.95290 | − | 2.60877i | −0.0752789 | − | 0.100561i | 0.761321 | − | 0.648375i | \(-0.224551\pi\) |
−0.836600 | + | 0.547814i | \(0.815460\pi\) | |||||||
\(674\) | 4.20113 | − | 1.23356i | 0.161821 | − | 0.0475151i | ||||
\(675\) | 57.5273 | − | 12.6220i | 2.21423 | − | 0.485823i | ||||
\(676\) | −2.58498 | + | 5.66031i | −0.0994222 | + | 0.217704i | ||||
\(677\) | 0.185501 | − | 0.101291i | 0.00712938 | − | 0.00389293i | −0.475680 | − | 0.879618i | \(-0.657798\pi\) |
0.482810 | + | 0.875725i | \(0.339616\pi\) | |||||||
\(678\) | 0.140408 | − | 1.96317i | 0.00539235 | − | 0.0753949i | ||||
\(679\) | −14.4617 | + | 12.5311i | −0.554987 | + | 0.480899i | ||||
\(680\) | −4.01995 | − | 7.34637i | −0.154158 | − | 0.281720i | ||||
\(681\) | −18.1429 | − | 8.28557i | −0.695236 | − | 0.317504i | ||||
\(682\) | −24.0839 | + | 5.23913i | −0.922219 | + | 0.200617i | ||||
\(683\) | 16.7769 | − | 30.7247i | 0.641952 | − | 1.17565i | −0.330778 | − | 0.943709i | \(-0.607311\pi\) |
0.972730 | − | 0.231939i | \(-0.0745070\pi\) | |||||||
\(684\) | −1.45584 | + | 10.1256i | −0.0556653 | + | 0.387161i | ||||
\(685\) | −10.0031 | + | 4.57908i | −0.382199 | + | 0.174957i | ||||
\(686\) | 18.6166 | − | 2.67667i | 0.710786 | − | 0.102196i | ||||
\(687\) | −0.491942 | + | 2.26142i | −0.0187688 | + | 0.0862786i | ||||
\(688\) | 0.675447 | − | 0.0483089i | 0.0257512 | − | 0.00184176i | ||||
\(689\) | 16.3905 | 0.624429 | ||||||||
\(690\) | 20.6407 | − | 26.4077i | 0.785777 | − | 1.00532i | ||||
\(691\) | 27.6793 | 1.05297 | 0.526485 | − | 0.850185i | \(-0.323510\pi\) | ||||
0.526485 | + | 0.850185i | \(0.323510\pi\) | |||||||
\(692\) | −12.6460 | + | 0.904460i | −0.480729 | + | 0.0343824i | ||||
\(693\) | 17.2270 | − | 79.1914i | 0.654401 | − | 3.00823i | ||||
\(694\) | 13.3125 | − | 1.91406i | 0.505337 | − | 0.0726566i | ||||
\(695\) | −7.45602 | + | 20.0451i | −0.282823 | + | 0.760352i | ||||
\(696\) | −2.71634 | + | 18.8926i | −0.102963 | + | 0.716121i | ||||
\(697\) | −18.9771 | + | 34.7540i | −0.718811 | + | 1.31640i | ||||
\(698\) | 19.7850 | − | 4.30396i | 0.748872 | − | 0.162907i | ||||
\(699\) | −67.8159 | − | 30.9705i | −2.56503 | − | 1.17141i | ||||
\(700\) | 11.4098 | − | 6.25671i | 0.431249 | − | 0.236481i | ||||
\(701\) | −14.5899 | + | 12.6422i | −0.551051 | + | 0.477489i | −0.885316 | − | 0.464991i | \(-0.846058\pi\) |
0.334264 | + | 0.942479i | \(0.391512\pi\) | |||||||
\(702\) | 2.18762 | − | 30.5870i | 0.0825665 | − | 1.15443i | ||||
\(703\) | −11.5763 | + | 6.32111i | −0.436607 | + | 0.238405i | ||||
\(704\) | −1.91116 | + | 4.18486i | −0.0720296 | + | 0.157723i | ||||
\(705\) | −18.6175 | + | 4.06742i | −0.701176 | + | 0.153188i | ||||
\(706\) | 32.2760 | − | 9.47708i | 1.21472 | − | 0.356675i | ||||
\(707\) | −22.0099 | − | 29.4017i | −0.827766 | − | 1.10577i | ||||
\(708\) | −18.7105 | − | 6.97867i | −0.703185 | − | 0.262274i | ||||
\(709\) | −1.99572 | − | 13.8805i | −0.0749509 | − | 0.521295i | −0.992363 | − | 0.123355i | \(-0.960635\pi\) |
0.917412 | − | 0.397939i | \(-0.130275\pi\) | |||||||
\(710\) | −24.3752 | + | 15.6958i | −0.914785 | + | 0.589052i | ||||
\(711\) | −22.2935 | − | 19.3175i | −0.836073 | − | 0.724461i | ||||
\(712\) | −11.4288 | + | 11.4288i | −0.428313 | + | 0.428313i | ||||
\(713\) | −19.0474 | − | 17.2432i | −0.713331 | − | 0.645763i | ||||
\(714\) | − | 30.4634i | − | 1.14007i | ||||||
\(715\) | −17.5199 | + | 20.2556i | −0.655206 | + | 0.757515i | ||||
\(716\) | 0.605037 | − | 0.388834i | 0.0226113 | − | 0.0145314i | ||||
\(717\) | −30.4918 | + | 40.7323i | −1.13874 | + | 1.52117i | ||||
\(718\) | 6.41005 | − | 17.1860i | 0.239221 | − | 0.641376i | ||||
\(719\) | 21.8991 | + | 3.14862i | 0.816699 | + | 0.117424i | 0.537989 | − | 0.842952i | \(-0.319184\pi\) |
0.278710 | + | 0.960375i | \(0.410093\pi\) | |||||||
\(720\) | −13.2904 | − | 7.24172i | −0.495306 | − | 0.269883i | ||||
\(721\) | −28.9316 | − | 18.5932i | −1.07747 | − | 0.692448i | ||||
\(722\) | 15.6620 | − | 5.84162i | 0.582878 | − | 0.217402i | ||||
\(723\) | 29.1497 | + | 53.3837i | 1.08409 | + | 1.98536i | ||||
\(724\) | 8.88608 | + | 10.2551i | 0.330248 | + | 0.381127i | ||||
\(725\) | 20.0368 | + | 23.0404i | 0.744148 | + | 0.855697i | ||||
\(726\) | 30.4855 | + | 8.95134i | 1.13142 | + | 0.332216i | ||||
\(727\) | −6.18491 | − | 16.5824i | −0.229385 | − | 0.615006i | 0.770359 | − | 0.637610i | \(-0.220077\pi\) |
−0.999744 | + | 0.0226041i | \(0.992804\pi\) | |||||||
\(728\) | −1.44019 | − | 6.62043i | −0.0533768 | − | 0.245369i | ||||
\(729\) | −0.366606 | − | 1.24854i | −0.0135780 | − | 0.0462424i | ||||
\(730\) | 1.99595 | + | 2.66132i | 0.0738735 | + | 0.0984999i | ||||
\(731\) | −1.05353 | − | 2.30690i | −0.0389661 | − | 0.0853238i | ||||
\(732\) | −18.5376 | − | 13.8771i | −0.685171 | − | 0.512913i | ||||
\(733\) | −18.8453 | − | 4.09955i | −0.696068 | − | 0.151420i | −0.149409 | − | 0.988776i | \(-0.547737\pi\) |
−0.546659 | + | 0.837355i | \(0.684101\pi\) | |||||||
\(734\) | 8.22714 | − | 9.49463i | 0.303669 | − | 0.350453i | ||||
\(735\) | −1.58529 | + | 0.00141685i | −0.0584743 | + | 5.22615e-5i | ||||
\(736\) | −4.70727 | + | 0.917387i | −0.173512 | + | 0.0338153i | ||||
\(737\) | 25.2657 | + | 25.2657i | 0.930675 | + | 0.930675i | ||||
\(738\) | 5.10553 | + | 71.3846i | 0.187937 | + | 2.62770i | ||||
\(739\) | 4.25075 | + | 6.61429i | 0.156366 | + | 0.243311i | 0.910594 | − | 0.413303i | \(-0.135625\pi\) |
−0.754228 | + | 0.656613i | \(0.771988\pi\) | |||||||
\(740\) | −2.79449 | − | 19.3136i | −0.102728 | − | 0.709981i | ||||
\(741\) | 11.1859 | − | 5.10843i | 0.410924 | − | 0.187663i | ||||
\(742\) | 13.1172 | − | 9.81943i | 0.481548 | − | 0.360483i | ||||
\(743\) | −13.2377 | − | 7.22835i | −0.485646 | − | 0.265183i | 0.217719 | − | 0.976011i | \(-0.430138\pi\) |
−0.703365 | + | 0.710829i | \(0.748320\pi\) | |||||||
\(744\) | −9.05273 | + | 14.0863i | −0.331889 | + | 0.516429i | ||||
\(745\) | 10.0930 | + | 26.9867i | 0.369778 | + | 0.988714i | ||||
\(746\) | −2.51739 | + | 8.57346i | −0.0921684 | + | 0.313897i | ||||
\(747\) | 16.5783 | + | 1.18570i | 0.606567 | + | 0.0433826i | ||||
\(748\) | 17.1859 | + | 1.22916i | 0.628377 | + | 0.0449424i | ||||
\(749\) | 4.36924 | − | 14.8803i | 0.159649 | − | 0.543713i | ||||
\(750\) | −32.7080 | + | 12.2995i | −1.19433 | + | 0.449113i | ||||
\(751\) | 8.20525 | − | 12.7676i | 0.299414 | − | 0.465897i | −0.658651 | − | 0.752448i | \(-0.728873\pi\) |
0.958065 | + | 0.286552i | \(0.0925090\pi\) | |||||||
\(752\) | 2.39319 | + | 1.30678i | 0.0872708 | + | 0.0476535i | ||||
\(753\) | −32.1430 | + | 24.0619i | −1.17136 | + | 0.876866i | ||||
\(754\) | 14.4614 | − | 6.60431i | 0.526654 | − | 0.240515i | ||||
\(755\) | −12.3633 | − | 9.23779i | −0.449945 | − | 0.336198i | ||||
\(756\) | −16.5737 | − | 25.7891i | −0.602778 | − | 0.937941i | ||||
\(757\) | 1.92744 | + | 26.9491i | 0.0700540 | + | 0.979483i | 0.903971 | + | 0.427593i | \(0.140639\pi\) |
−0.833917 | + | 0.551890i | \(0.813907\pi\) | |||||||
\(758\) | 8.80984 | + | 8.80984i | 0.319988 | + | 0.319988i | ||||
\(759\) | 22.6898 | + | 65.1204i | 0.823588 | + | 2.36372i | ||||
\(760\) | −0.00302035 | − | 3.37941i | −0.000109560 | − | 0.122584i | ||||
\(761\) | 16.6650 | − | 19.2325i | 0.604106 | − | 0.697176i | −0.368502 | − | 0.929627i | \(-0.620129\pi\) |
0.972608 | + | 0.232451i | \(0.0746746\pi\) | |||||||
\(762\) | −7.91355 | − | 1.72149i | −0.286678 | − | 0.0623629i | ||||
\(763\) | 1.93647 | + | 1.44962i | 0.0701048 | + | 0.0524798i | ||||
\(764\) | −7.34039 | − | 16.0732i | −0.265566 | − | 0.581509i | ||||
\(765\) | −8.01675 | + | 56.1137i | −0.289846 | + | 2.02879i | ||||
\(766\) | 2.50556 | + | 8.53315i | 0.0905295 | + | 0.308315i | ||||
\(767\) | 3.53568 | + | 16.2533i | 0.127666 | + | 0.586872i | ||||
\(768\) | 1.09225 | + | 2.92843i | 0.0394131 | + | 0.105671i | ||||
\(769\) | 30.6638 | + | 9.00371i | 1.10577 | + | 0.324682i | 0.783140 | − | 0.621845i | \(-0.213617\pi\) |
0.322625 | + | 0.946527i | \(0.395435\pi\) | |||||||
\(770\) | −1.88609 | + | 26.7064i | −0.0679700 | + | 0.962433i | ||||
\(771\) | −7.76942 | − | 8.96639i | −0.279809 | − | 0.322917i | ||||
\(772\) | 6.55873 | + | 12.0114i | 0.236054 | + | 0.432301i | ||||
\(773\) | −25.3084 | + | 9.43955i | −0.910281 | + | 0.339517i | −0.760603 | − | 0.649218i | \(-0.775096\pi\) |
−0.149678 | + | 0.988735i | \(0.547824\pi\) | |||||||
\(774\) | −3.85597 | − | 2.47808i | −0.138600 | − | 0.0890727i | ||||
\(775\) | 7.59266 | + | 25.6883i | 0.272736 | + | 0.922749i | ||||
\(776\) | −7.27782 | − | 1.04639i | −0.261258 | − | 0.0375633i | ||||
\(777\) | 24.8081 | − | 66.5132i | 0.889987 | − | 2.38615i | ||||
\(778\) | 17.0609 | − | 22.7907i | 0.611663 | − | 0.817086i | ||||
\(779\) | −13.4428 | + | 8.63913i | −0.481637 | + | 0.309529i | ||||
\(780\) | 1.31418 | + | 18.1467i | 0.0470553 | + | 0.649757i | ||||
\(781\) | − | 59.6487i | − | 2.13440i | ||||||
\(782\) | 9.37987 | + | 15.3170i | 0.335424 | + | 0.547736i | ||||
\(783\) | 50.8644 | − | 50.8644i | 1.81775 | − | 1.81775i | ||||
\(784\) | 0.171428 | + | 0.148544i | 0.00612244 | + | 0.00530513i | ||||
\(785\) | −16.8561 | − | 26.1772i | −0.601621 | − | 0.934303i | ||||
\(786\) | −9.37481 | − | 65.2032i | −0.334388 | − | 2.32572i | ||||
\(787\) | 18.5946 | + | 6.93542i | 0.662825 | + | 0.247221i | 0.658285 | − | 0.752769i | \(-0.271282\pi\) |
0.00453983 | + | 0.999990i | \(0.498555\pi\) | |||||||
\(788\) | 10.5421 | + | 14.0826i | 0.375548 | + | 0.501673i | ||||
\(789\) | −30.5658 | + | 8.97492i | −1.08817 | + | 0.319516i | ||||
\(790\) | 8.20266 | + | 5.26118i | 0.291838 | + | 0.187184i | ||||
\(791\) | −0.680807 | + | 1.49076i | −0.0242067 | + | 0.0530053i | ||||
\(792\) | 27.3311 | − | 14.9239i | 0.971170 | − | 0.530299i | ||||
\(793\) | −1.37597 | + | 19.2386i | −0.0488623 | + | 0.683184i | ||||
\(794\) | 13.6893 | − | 11.8619i | 0.485816 | − | 0.420962i | ||||
\(795\) | −38.6002 | + | 21.1221i | −1.36901 | + | 0.749125i | ||||
\(796\) | −18.3747 | − | 8.39144i | −0.651274 | − | 0.297427i | ||||
\(797\) | −23.5266 | + | 5.11790i | −0.833356 | + | 0.181285i | −0.608948 | − | 0.793210i | \(-0.708408\pi\) |
−0.224407 | + | 0.974495i | \(0.572045\pi\) | |||||||
\(798\) | 5.89158 | − | 10.7896i | 0.208560 | − | 0.381949i | ||||
\(799\) | 1.45330 | − | 10.1080i | 0.0514142 | − | 0.357594i | ||||
\(800\) | 4.68786 | + | 1.73894i | 0.165741 | + | 0.0614810i | ||||
\(801\) | 108.288 | − | 15.5695i | 3.82617 | − | 0.550120i | ||||
\(802\) | −7.16821 | + | 32.9517i | −0.253118 | + | 1.16357i | ||||
\(803\) | −6.82694 | + | 0.488273i | −0.240918 | + | 0.0172308i | ||||
\(804\) | 24.2745 | 0.856096 | ||||||||
\(805\) | −23.7878 | + | 14.5964i | −0.838409 | + | 0.514457i | ||||
\(806\) | 13.9470 | 0.491263 | ||||||||
\(807\) | −0.937344 | + | 0.0670402i | −0.0329961 | + | 0.00235993i | ||||
\(808\) | 2.99975 | − | 13.7896i | 0.105531 | − | 0.485118i | ||||
\(809\) | −2.16520 | + | 0.311308i | −0.0761242 | + | 0.0109450i | −0.180272 | − | 0.983617i | \(-0.557698\pi\) |
0.104147 | + | 0.994562i | \(0.466789\pi\) | |||||||
\(810\) | 15.3656 | + | 33.5666i | 0.539893 | + | 1.17941i | ||||
\(811\) | 1.89548 | − | 13.1833i | 0.0665592 | − | 0.462929i | −0.929098 | − | 0.369834i | \(-0.879415\pi\) |
0.995657 | − | 0.0930956i | \(-0.0296762\pi\) | |||||||
\(812\) | 7.61680 | − | 13.9491i | 0.267297 | − | 0.489518i | ||||
\(813\) | 0.917027 | − | 0.199487i | 0.0321615 | − | 0.00699632i | ||||
\(814\) | 36.5222 | + | 16.6791i | 1.28010 | + | 0.584604i | ||||
\(815\) | 7.59196 | − | 25.9416i | 0.265935 | − | 0.908694i | ||||
\(816\) | 8.84629 | − | 7.66535i | 0.309682 | − | 0.268341i | ||||
\(817\) | 0.0730101 | − | 1.02081i | 0.00255430 | − | 0.0357138i | ||||
\(818\) | −23.3455 | + | 12.7476i | −0.816257 | + | 0.445710i | ||||
\(819\) | −19.0509 | + | 41.7157i | −0.665692 | + | 1.45766i | ||||
\(820\) | −5.04619 | − | 23.0975i | −0.176221 | − | 0.806601i | ||||
\(821\) | 20.1128 | − | 5.90566i | 0.701943 | − | 0.206109i | 0.0887634 | − | 0.996053i | \(-0.471709\pi\) |
0.613179 | + | 0.789944i | \(0.289890\pi\) | |||||||
\(822\) | −9.21529 | − | 12.3102i | −0.321420 | − | 0.429367i | ||||
\(823\) | −13.2986 | − | 4.96012i | −0.463560 | − | 0.172899i | 0.106823 | − | 0.994278i | \(-0.465932\pi\) |
−0.570383 | + | 0.821379i | \(0.693205\pi\) | |||||||
\(824\) | −1.88062 | − | 13.0800i | −0.0655144 | − | 0.455663i | ||||
\(825\) | 15.1570 | − | 70.2801i | 0.527698 | − | 2.44684i | ||||
\(826\) | 12.5668 | + | 10.8892i | 0.437255 | + | 0.378883i | ||||
\(827\) | −39.1807 | + | 39.1807i | −1.36245 | + | 1.36245i | −0.491656 | + | 0.870790i | \(0.663608\pi\) |
−0.870790 | + | 0.491656i | \(0.836392\pi\) | |||||||
\(828\) | 29.2283 | + | 14.1233i | 1.01575 | + | 0.490820i | ||||
\(829\) | − | 45.0301i | − | 1.56396i | −0.623303 | − | 0.781980i | \(-0.714210\pi\) | ||
0.623303 | − | 0.781980i | \(-0.285790\pi\) | |||||||
\(830\) | −5.47633 | + | 0.396595i | −0.190086 | + | 0.0137660i | ||||
\(831\) | −16.2001 | + | 10.4112i | −0.561975 | + | 0.361159i | ||||
\(832\) | 1.56012 | − | 2.08408i | 0.0540875 | − | 0.0722524i | ||||
\(833\) | 0.296874 | − | 0.795949i | 0.0102861 | − | 0.0275780i | ||||
\(834\) | −29.5895 | − | 4.25432i | −1.02460 | − | 0.147315i | ||||
\(835\) | 22.3420 | − | 6.58190i | 0.773177 | − | 0.227776i | ||||
\(836\) | 5.84922 | + | 3.75906i | 0.202299 | + | 0.130010i | ||||
\(837\) | 59.1264 | − | 22.0530i | 2.04371 | − | 0.762264i | ||||
\(838\) | −6.95388 | − | 12.7351i | −0.240218 | − | 0.439926i | ||||
\(839\) | −30.7170 | − | 35.4493i | −1.06047 | − | 1.22385i | −0.973751 | − | 0.227614i | \(-0.926908\pi\) |
−0.0867177 | − | 0.996233i | \(-0.527638\pi\) | |||||||
\(840\) | 11.9233 | + | 13.7354i | 0.411393 | + | 0.473916i | ||||
\(841\) | 7.95733 | + | 2.33648i | 0.274391 | + | 0.0805684i | ||||
\(842\) | 3.22352 | + | 8.64260i | 0.111090 | + | 0.297844i | ||||
\(843\) | 18.6447 | + | 85.7085i | 0.642159 | + | 2.95196i | ||||
\(844\) | 0.929912 | + | 3.16699i | 0.0320089 | + | 0.109012i | ||||
\(845\) | −11.1315 | + | 8.34845i | −0.382934 | + | 0.287195i | ||||
\(846\) | −7.66711 | − | 16.7886i | −0.263601 | − | 0.577205i | ||||
\(847\) | −21.1793 | − | 15.8546i | −0.727730 | − | 0.544772i | ||||
\(848\) | 6.15208 | + | 1.33830i | 0.211263 | + | 0.0459575i | ||||
\(849\) | 12.7766 | − | 14.7450i | 0.438493 | − | 0.506048i | ||||
\(850\) | −0.0334719 | − | 18.7255i | −0.00114808 | − | 0.642279i | ||||
\(851\) | 8.00625 | + | 41.0815i | 0.274451 | + | 1.40825i | ||||
\(852\) | −28.6543 | − | 28.6543i | −0.981680 | − | 0.981680i | ||||
\(853\) | −0.870050 | − | 12.1649i | −0.0297899 | − | 0.416518i | −0.990364 | − | 0.138492i | \(-0.955774\pi\) |
0.960574 | − | 0.278026i | \(-0.0896801\pi\) | |||||||
\(854\) | 10.4245 | + | 16.2209i | 0.356720 | + | 0.555067i | ||||
\(855\) | −13.6917 | + | 18.3241i | −0.468246 | + | 0.626670i | ||||
\(856\) | 5.42049 | − | 2.47546i | 0.185269 | − | 0.0846094i | ||||
\(857\) | −28.1693 | + | 21.0873i | −0.962246 | + | 0.720328i | −0.960096 | − | 0.279669i | \(-0.909775\pi\) |
−0.00214954 | + | 0.999998i | \(0.500684\pi\) | |||||||
\(858\) | −32.8549 | − | 17.9401i | −1.12165 | − | 0.612466i | ||||
\(859\) | 20.5494 | − | 31.9755i | 0.701136 | − | 1.09099i | −0.289856 | − | 0.957070i | \(-0.593608\pi\) |
0.990992 | − | 0.133919i | \(-0.0427561\pi\) | |||||||
\(860\) | 1.37793 | + | 0.627791i | 0.0469870 | + | 0.0214075i | ||||
\(861\) | 24.2302 | − | 82.5206i | 0.825764 | − | 2.81229i | ||||
\(862\) | −23.3979 | − | 1.67345i | −0.796937 | − | 0.0569980i | ||||
\(863\) | −7.77284 | − | 0.555924i | −0.264590 | − | 0.0189239i | −0.0615863 | − | 0.998102i | \(-0.519616\pi\) |
−0.203004 | + | 0.979178i | \(0.565070\pi\) | |||||||
\(864\) | 3.31857 | − | 11.3020i | 0.112900 | − | 0.384502i | ||||
\(865\) | −25.7982 | − | 11.7538i | −0.877165 | − | 0.399641i | ||||
\(866\) | −8.10638 | + | 12.6138i | −0.275466 | + | 0.428634i | ||||
\(867\) | 8.15872 | + | 4.45500i | 0.277085 | + | 0.151300i | ||||
\(868\) | 11.1617 | − | 8.35556i | 0.378853 | − | 0.283606i | ||||
\(869\) | −18.2379 | + | 8.32897i | −0.618678 | + | 0.282541i | ||||
\(870\) | −25.5463 | + | 34.1895i | −0.866101 | + | 1.15913i | ||||
\(871\) | −10.9313 | − | 17.0094i | −0.370392 | − | 0.576341i | ||||
\(872\) | 0.0663069 | + | 0.927091i | 0.00224543 | + | 0.0313953i | ||||
\(873\) | 35.1914 | + | 35.1914i | 1.19105 | + | 1.19105i | ||||
\(874\) | 0.359897 | + | 7.23908i | 0.0121737 | + | 0.244866i | ||||
\(875\) | 29.0971 | − | 0.0780168i | 0.983661 | − | 0.00263745i | ||||
\(876\) | −3.04500 | + | 3.51412i | −0.102881 | + | 0.118731i | ||||
\(877\) | 22.5132 | + | 4.89744i | 0.760216 | + | 0.165375i | 0.575931 | − | 0.817498i | \(-0.304640\pi\) |
0.184285 | + | 0.982873i | \(0.441003\pi\) | |||||||
\(878\) | −3.96739 | − | 2.96995i | −0.133893 | − | 0.100231i | ||||
\(879\) | 22.1755 | + | 48.5576i | 0.747962 | + | 1.63781i | ||||
\(880\) | −8.22987 | + | 6.17229i | −0.277429 | + | 0.208068i | ||||
\(881\) | 4.09163 | + | 13.9348i | 0.137851 | + | 0.469476i | 0.999261 | − | 0.0384331i | \(-0.0122366\pi\) |
−0.861410 | + | 0.507909i | \(0.830418\pi\) | |||||||
\(882\) | −0.326366 | − | 1.50028i | −0.0109893 | − | 0.0505170i | ||||
\(883\) | 2.98263 | + | 7.99675i | 0.100374 | + | 0.269112i | 0.977424 | − | 0.211286i | \(-0.0677651\pi\) |
−0.877051 | + | 0.480398i | \(0.840492\pi\) | |||||||
\(884\) | −9.35484 | − | 2.74683i | −0.314637 | − | 0.0923858i | ||||
\(885\) | −29.2719 | − | 33.7207i | −0.983965 | − | 1.13351i | ||||
\(886\) | −21.6665 | − | 25.0045i | −0.727901 | − | 0.840043i | ||||
\(887\) | 1.87685 | + | 3.43719i | 0.0630184 | + | 0.115410i | 0.907289 | − | 0.420507i | \(-0.138148\pi\) |
−0.844271 | + | 0.535917i | \(0.819966\pi\) | |||||||
\(888\) | 25.5571 | − | 9.53231i | 0.857641 | − | 0.319883i | ||||
\(889\) | 5.67303 | + | 3.64584i | 0.190267 | + | 0.122277i | ||||
\(890\) | −34.6680 | + | 10.2131i | −1.16207 | + | 0.342344i | ||||
\(891\) | −75.1806 | − | 10.8093i | −2.51864 | − | 0.362126i | ||||
\(892\) | 2.46172 | − | 6.60011i | 0.0824243 | − | 0.220988i | ||||
\(893\) | 2.46960 | − | 3.29899i | 0.0826419 | − | 0.110397i | ||||
\(894\) | −33.8796 | + | 21.7731i | −1.13310 | + | 0.728202i | ||||
\(895\) | 1.60400 | − | 0.116161i | 0.0536158 | − | 0.00388285i | ||||
\(896\) | − | 2.60253i | − | 0.0869445i | ||||||
\(897\) | −4.71308 | − | 38.7367i | −0.157365 | − | 1.29338i | ||||
\(898\) | 7.07044 | − | 7.07044i | 0.235944 | − | 0.235944i | ||||
\(899\) | 24.7255 | + | 21.4247i | 0.824641 | + | 0.714555i | ||||
\(900\) | −18.3481 | − | 28.4383i | −0.611604 | − | 0.947944i | ||||
\(901\) | −3.35565 | − | 23.3391i | −0.111793 | − | 0.777537i | ||||
\(902\) | 45.5761 | + | 16.9990i | 1.51752 | + | 0.566005i | ||||
\(903\) | 3.30097 | + | 4.40959i | 0.109850 | + | 0.146742i | ||||
\(904\) | −0.604210 | + | 0.177412i | −0.0200957 | + | 0.00590064i | ||||
\(905\) | 6.47618 | + | 29.6429i | 0.215276 | + | 0.985365i | ||||
\(906\) | 8.96138 | − | 19.6227i | 0.297722 | − | 0.651920i | ||||
\(907\) | 42.7332 | − | 23.3341i | 1.41893 | − | 0.774795i | 0.427326 | − | 0.904098i | \(-0.359456\pi\) |
0.991605 | + | 0.129303i | \(0.0412738\pi\) | |||||||
\(908\) | −0.455249 | + | 6.36521i | −0.0151080 | + | 0.211237i | ||||
\(909\) | −72.1902 | + | 62.5531i | −2.39440 | + | 2.07476i | ||||
\(910\) | 4.25524 | − | 14.5401i | 0.141060 | − | 0.481999i | ||||
\(911\) | 25.3691 | + | 11.5857i | 0.840517 | + | 0.383851i | 0.788680 | − | 0.614804i | \(-0.210765\pi\) |
0.0518375 | + | 0.998656i | \(0.483492\pi\) | |||||||
\(912\) | 4.61567 | − | 1.00408i | 0.152840 | − | 0.0332483i | ||||
\(913\) | 5.41398 | − | 9.91496i | 0.179177 | − | 0.328137i | ||||
\(914\) | 0.638316 | − | 4.43959i | 0.0211136 | − | 0.146848i | ||||
\(915\) | −21.5520 | − | 47.0808i | −0.712486 | − | 1.55644i | ||||
\(916\) | 0.732925 | − | 0.105379i | 0.0242165 | − | 0.00348181i | ||||
\(917\) | −11.6595 | + | 53.5980i | −0.385032 | + | 1.76996i | ||||
\(918\) | −44.0018 | + | 3.14707i | −1.45227 | + | 0.103869i | ||||
\(919\) | 25.1171 | 0.828537 | 0.414269 | − | 0.910155i | \(-0.364037\pi\) | ||||
0.414269 | + | 0.910155i | \(0.364037\pi\) | |||||||
\(920\) | −10.2243 | − | 3.23492i | −0.337084 | − | 0.106652i | ||||
\(921\) | 43.7140 | 1.44043 | ||||||||
\(922\) | −34.8273 | + | 2.49090i | −1.14698 | + | 0.0820333i | ||||
\(923\) | −7.17478 | + | 32.9819i | −0.236161 | + | 1.08561i | ||||
\(924\) | −37.0414 | + | 5.32574i | −1.21857 | + | 0.175204i | ||||
\(925\) | 15.1762 | − | 40.9121i | 0.498989 | − | 1.34518i | ||||
\(926\) | −3.43552 | + | 23.8946i | −0.112898 | + | 0.785224i | ||||
\(927\) | −42.8666 | + | 78.5042i | −1.40792 | + | 2.57842i | ||||
\(928\) | 5.96726 | − | 1.29810i | 0.195885 | − | 0.0426122i | ||||
\(929\) | −32.9625 | − | 15.0535i | −1.08146 | − | 0.493888i | −0.206684 | − | 0.978408i | \(-0.566267\pi\) |
−0.874780 | + | 0.484520i | \(0.838994\pi\) | |||||||
\(930\) | −32.8457 | + | 17.9733i | −1.07705 | + | 0.589366i | ||||
\(931\) | 0.259083 | − | 0.224496i | 0.00849109 | − | 0.00735758i | ||||
\(932\) | −1.70167 | + | 23.7924i | −0.0557400 | + | 0.779347i | ||||
\(933\) | 12.2964 | − | 6.71436i | 0.402567 | − | 0.219818i | ||||
\(934\) | 13.2295 | − | 28.9686i | 0.432883 | − | 0.947882i | ||||
\(935\) | 32.4295 | + | 20.8002i | 1.06056 | + | 0.680241i | ||||
\(936\) | −16.9075 | + | 4.96449i | −0.552639 | + | 0.162269i | ||||
\(937\) | −5.31939 | − | 7.10587i | −0.173777 | − | 0.232139i | 0.705194 | − | 0.709015i | \(-0.250860\pi\) |
−0.878971 | + | 0.476876i | \(0.841769\pi\) | |||||||
\(938\) | −18.9384 | − | 7.06367i | −0.618361 | − | 0.230637i | ||||
\(939\) | −6.42748 | − | 44.7041i | −0.209753 | − | 1.45886i | ||||
\(940\) | 3.30095 | + | 5.12630i | 0.107665 | + | 0.167202i | ||||
\(941\) | 23.4217 | + | 20.2950i | 0.763526 | + | 0.661599i | 0.946930 | − | 0.321439i | \(-0.104166\pi\) |
−0.183405 | + | 0.983038i | \(0.558712\pi\) | |||||||
\(942\) | 30.7726 | − | 30.7726i | 1.00263 | − | 1.00263i | ||||
\(943\) | 13.2256 | + | 48.9520i | 0.430684 | + | 1.59410i | ||||
\(944\) | 6.38926i | 0.207953i | ||||||||
\(945\) | −4.95126 | − | 68.3689i | −0.161065 | − | 2.22404i | ||||
\(946\) | −2.62084 | + | 1.68431i | −0.0852110 | + | 0.0547618i | ||||
\(947\) | 27.8737 | − | 37.2350i | 0.905775 | − | 1.20997i | −0.0713807 | − | 0.997449i | \(-0.522741\pi\) |
0.977156 | − | 0.212525i | \(-0.0681686\pi\) | |||||||
\(948\) | −4.76009 | + | 12.7623i | −0.154601 | + | 0.414500i | ||||
\(949\) | 3.83360 | + | 0.551188i | 0.124444 | + | 0.0178923i | ||||
\(950\) | 3.60963 | − | 6.63872i | 0.117112 | − | 0.215389i | ||||
\(951\) | −33.9708 | − | 21.8317i | −1.10158 | − | 0.707942i | ||||
\(952\) | −9.13222 | + | 3.40614i | −0.295977 | + | 0.110394i | ||||
\(953\) | 1.84229 | + | 3.37390i | 0.0596775 | + | 0.109291i | 0.905815 | − | 0.423674i | \(-0.139260\pi\) |
−0.846137 | + | 0.532965i | \(0.821078\pi\) | |||||||
\(954\) | −27.9073 | − | 32.2068i | −0.903533 | − | 1.04273i | ||||
\(955\) | 2.78348 | − | 39.4132i | 0.0900714 | − | 1.27538i | ||||
\(956\) | 15.6199 | + | 4.58641i | 0.505183 | + | 0.148335i | ||||
\(957\) | −30.6868 | − | 82.2746i | −0.991964 | − | 2.65956i | ||||
\(958\) | −0.851977 | − | 3.91647i | −0.0275261 | − | 0.126536i | ||||
\(959\) | 3.60740 | + | 12.2857i | 0.116489 | + | 0.396725i | ||||
\(960\) | −0.988430 | + | 6.91857i | −0.0319014 | + | 0.223296i | ||||
\(961\) | −0.954875 | − | 2.09088i | −0.0308024 | − | 0.0674479i | ||||
\(962\) | −18.1882 | − | 13.6155i | −0.586412 | − | 0.438983i | ||||
\(963\) | −39.4131 | − | 8.57379i | −1.27007 | − | 0.276286i | ||||
\(964\) | 12.7439 | − | 14.7073i | 0.410454 | − | 0.473689i | ||||
\(965\) | 0.0273502 | + | 30.6016i | 0.000880433 | + | 0.985099i | ||||
\(966\) | −26.9787 | − | 28.1771i | −0.868025 | − | 0.906584i | ||||
\(967\) | −11.4499 | − | 11.4499i | −0.368205 | − | 0.368205i | 0.498617 | − | 0.866822i | \(-0.333841\pi\) |
−0.866822 | + | 0.498617i | \(0.833841\pi\) | |||||||
\(968\) | −0.725204 | − | 10.1397i | −0.0233089 | − | 0.325902i | ||||
\(969\) | −9.56418 | − | 14.8822i | −0.307246 | − | 0.478084i | ||||
\(970\) | −13.1705 | − | 9.84098i | −0.422880 | − | 0.315975i | ||||
\(971\) | −24.6330 | + | 11.2495i | −0.790511 | + | 0.361015i | −0.769404 | − | 0.638763i | \(-0.779447\pi\) |
−0.0211077 | + | 0.999777i | \(0.506719\pi\) | |||||||
\(972\) | −13.0191 | + | 9.74601i | −0.417589 | + | 0.312604i | ||||
\(973\) | 21.8471 | + | 11.9294i | 0.700385 | + | 0.382439i | ||||
\(974\) | −16.3654 | + | 25.4651i | −0.524382 | + | 0.815954i | ||||
\(975\) | −16.8344 | + | 37.0373i | −0.539132 | + | 1.18614i | ||||
\(976\) | −2.08732 | + | 7.10876i | −0.0668135 | + | 0.227546i | ||||
\(977\) | −19.0254 | − | 1.36073i | −0.608678 | − | 0.0435335i | −0.236401 | − | 0.971655i | \(-0.575968\pi\) |
−0.372276 | + | 0.928122i | \(0.621423\pi\) | |||||||
\(978\) | 37.6849 | + | 2.69528i | 1.20503 | + | 0.0861854i | ||||
\(979\) | 20.9493 | − | 71.3466i | 0.669541 | − | 2.28025i | ||||
\(980\) | 0.177677 | + | 0.475074i | 0.00567569 | + | 0.0151757i | ||||
\(981\) | 3.40131 | − | 5.29254i | 0.108595 | − | 0.168978i | ||||
\(982\) | 5.12924 | + | 2.80078i | 0.163681 | + | 0.0893763i | ||||
\(983\) | −21.8549 | + | 16.3604i | −0.697063 | + | 0.521815i | −0.888032 | − | 0.459781i | \(-0.847928\pi\) |
0.190969 | + | 0.981596i | \(0.438837\pi\) | |||||||
\(984\) | 30.0601 | − | 13.7280i | 0.958281 | − | 0.437632i | ||||
\(985\) | 5.63283 | + | 38.9301i | 0.179477 | + | 1.24042i | ||||
\(986\) | −12.3648 | − | 19.2401i | −0.393776 | − | 0.612728i | ||||
\(987\) | 1.58229 | + | 22.1233i | 0.0503648 | + | 0.704191i | ||||
\(988\) | −2.78209 | − | 2.78209i | −0.0885100 | − | 0.0885100i | ||||
\(989\) | −3.01747 | − | 1.20075i | −0.0959499 | − | 0.0381817i | ||||
\(990\) | 69.6317 | − | 0.0622334i | 2.21304 | − | 0.00197791i | ||||
\(991\) | −30.9827 | + | 35.7559i | −0.984198 | + | 1.13582i | 0.00653234 | + | 0.999979i | \(0.497921\pi\) |
−0.990730 | + | 0.135846i | \(0.956625\pi\) | |||||||
\(992\) | 5.23494 | + | 1.13879i | 0.166209 | + | 0.0361566i | ||||
\(993\) | −37.5866 | − | 28.1369i | −1.19277 | − | 0.892899i | ||||
\(994\) | 14.0173 | + | 30.6936i | 0.444601 | + | 0.973541i | ||||
\(995\) | −27.1010 | − | 36.1353i | −0.859160 | − | 1.14557i | ||||
\(996\) | −2.16220 | − | 7.36379i | −0.0685120 | − | 0.233330i | ||||
\(997\) | 5.70752 | + | 26.2370i | 0.180759 | + | 0.830935i | 0.974802 | + | 0.223073i | \(0.0716090\pi\) |
−0.794043 | + | 0.607862i | \(0.792027\pi\) | |||||||
\(998\) | 12.9241 | + | 34.6508i | 0.409105 | + | 1.09685i | ||||
\(999\) | −98.6353 | − | 28.9619i | −3.12068 | − | 0.916315i |
(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 | 230.2.l.a.7.7 | ✓ | 240 | |
5.3 | odd | 4 | inner | 230.2.l.a.53.1 | yes | 240 | |
23.10 | odd | 22 | inner | 230.2.l.a.217.1 | yes | 240 | |
115.33 | even | 44 | inner | 230.2.l.a.33.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.7.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.33.7 | yes | 240 | 115.33 | even | 44 | inner | |
230.2.l.a.53.1 | yes | 240 | 5.3 | odd | 4 | inner | |
230.2.l.a.217.1 | yes | 240 | 23.10 | odd | 22 | inner |