Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(39,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.39");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 39.13 | ||
Character | \(\chi\) | \(=\) | 950.39 |
Dual form | 950.2.n.b.609.13 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.587785 | + | 0.809017i | 0.415627 | + | 0.572061i | ||||
\(3\) | −3.02842 | − | 0.983992i | −1.74846 | − | 0.568108i | −0.752553 | − | 0.658531i | \(-0.771178\pi\) |
−0.995903 | + | 0.0904232i | \(0.971178\pi\) | |||||||
\(4\) | −0.309017 | + | 0.951057i | −0.154508 | + | 0.475528i | ||||
\(5\) | 1.06990 | + | 1.96349i | 0.478475 | + | 0.878101i | ||||
\(6\) | −0.983992 | − | 3.02842i | −0.401713 | − | 1.23635i | ||||
\(7\) | − | 2.61307i | − | 0.987648i | −0.869562 | − | 0.493824i | \(-0.835599\pi\) | ||
0.869562 | − | 0.493824i | \(-0.164401\pi\) | |||||||
\(8\) | −0.951057 | + | 0.309017i | −0.336249 | + | 0.109254i | ||||
\(9\) | 5.77601 | + | 4.19652i | 1.92534 | + | 1.39884i | ||||
\(10\) | −0.959627 | + | 2.01968i | −0.303461 | + | 0.638680i | ||||
\(11\) | −3.99793 | + | 2.90467i | −1.20542 | + | 0.875790i | −0.994807 | − | 0.101780i | \(-0.967546\pi\) |
−0.210614 | + | 0.977569i | \(0.567546\pi\) | |||||||
\(12\) | 1.87166 | − | 2.57612i | 0.540303 | − | 0.743663i | ||||
\(13\) | 4.02848 | − | 5.54473i | 1.11730 | − | 1.53783i | 0.307103 | − | 0.951676i | \(-0.400641\pi\) |
0.810198 | − | 0.586156i | \(-0.199359\pi\) | |||||||
\(14\) | 2.11402 | − | 1.53592i | 0.564995 | − | 0.410493i | ||||
\(15\) | −1.30805 | − | 6.99905i | −0.337736 | − | 1.80715i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 0.979111 | − | 0.318132i | 0.237469 | − | 0.0771585i | −0.187865 | − | 0.982195i | \(-0.560157\pi\) |
0.425334 | + | 0.905036i | \(0.360157\pi\) | |||||||
\(18\) | 7.13954i | 1.68281i | ||||||||
\(19\) | −0.309017 | − | 0.951057i | −0.0708934 | − | 0.218187i | ||||
\(20\) | −2.19801 | + | 0.410785i | −0.491490 | + | 0.0918543i | ||||
\(21\) | −2.57124 | + | 7.91346i | −0.561091 | + | 1.72686i | ||||
\(22\) | −4.69985 | − | 1.52707i | −1.00201 | − | 0.325573i | ||||
\(23\) | 3.77282 | + | 5.19284i | 0.786687 | + | 1.08278i | 0.994513 | + | 0.104616i | \(0.0333615\pi\) |
−0.207825 | + | 0.978166i | \(0.566639\pi\) | |||||||
\(24\) | 3.18427 | 0.649985 | ||||||||
\(25\) | −2.71062 | + | 4.20149i | −0.542123 | + | 0.840299i | ||||
\(26\) | 6.85367 | 1.34411 | ||||||||
\(27\) | −7.74784 | − | 10.6640i | −1.49107 | − | 2.05228i | ||||
\(28\) | 2.48518 | + | 0.807483i | 0.469654 | + | 0.152600i | ||||
\(29\) | 0.0633261 | − | 0.194898i | 0.0117594 | − | 0.0361916i | −0.945005 | − | 0.327057i | \(-0.893943\pi\) |
0.956764 | + | 0.290865i | \(0.0939431\pi\) | |||||||
\(30\) | 4.89350 | − | 5.17217i | 0.893427 | − | 0.944305i | ||||
\(31\) | −0.453143 | − | 1.39463i | −0.0813868 | − | 0.250483i | 0.902081 | − | 0.431567i | \(-0.142039\pi\) |
−0.983468 | + | 0.181084i | \(0.942039\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 14.9656 | − | 4.86260i | 2.60517 | − | 0.846471i | ||||
\(34\) | 0.832882 | + | 0.605124i | 0.142838 | + | 0.103778i | ||||
\(35\) | 5.13075 | − | 2.79573i | 0.867254 | − | 0.472565i | ||||
\(36\) | −5.77601 | + | 4.19652i | −0.962669 | + | 0.699420i | ||||
\(37\) | −4.32899 | + | 5.95834i | −0.711681 | + | 0.979545i | 0.288078 | + | 0.957607i | \(0.406984\pi\) |
−0.999759 | + | 0.0219379i | \(0.993016\pi\) | |||||||
\(38\) | 0.587785 | − | 0.809017i | 0.0953514 | − | 0.131240i | ||||
\(39\) | −17.6559 | + | 12.8278i | −2.82721 | + | 2.05409i | ||||
\(40\) | −1.62429 | − | 1.53678i | −0.256823 | − | 0.242986i | ||||
\(41\) | 6.78402 | + | 4.92888i | 1.05949 | + | 0.769762i | 0.973993 | − | 0.226577i | \(-0.0727535\pi\) |
0.0854930 | + | 0.996339i | \(0.472753\pi\) | |||||||
\(42\) | −7.91346 | + | 2.57124i | −1.22107 | + | 0.396751i | ||||
\(43\) | 10.3569i | 1.57942i | 0.613482 | + | 0.789709i | \(0.289768\pi\) | ||||
−0.613482 | + | 0.789709i | \(0.710232\pi\) | |||||||
\(44\) | −1.52707 | − | 4.69985i | −0.230215 | − | 0.708529i | ||||
\(45\) | −2.06007 | + | 15.8310i | −0.307097 | + | 2.35995i | ||||
\(46\) | −1.98349 | + | 6.10455i | −0.292450 | + | 0.900067i | ||||
\(47\) | 3.27161 | + | 1.06301i | 0.477214 | + | 0.155056i | 0.537741 | − | 0.843110i | \(-0.319278\pi\) |
−0.0605266 | + | 0.998167i | \(0.519278\pi\) | |||||||
\(48\) | 1.87166 | + | 2.57612i | 0.270151 | + | 0.371832i | ||||
\(49\) | 0.171866 | 0.0245523 | ||||||||
\(50\) | −4.99234 | + | 0.276641i | −0.706024 | + | 0.0391230i | ||||
\(51\) | −3.27820 | −0.459039 | ||||||||
\(52\) | 4.02848 | + | 5.54473i | 0.558650 | + | 0.768916i | ||||
\(53\) | 9.72507 | + | 3.15987i | 1.33584 | + | 0.434041i | 0.887906 | − | 0.460025i | \(-0.152159\pi\) |
0.447935 | + | 0.894066i | \(0.352159\pi\) | |||||||
\(54\) | 4.07328 | − | 12.5363i | 0.554303 | − | 1.70597i | ||||
\(55\) | −9.98069 | − | 4.74220i | −1.34580 | − | 0.639438i | ||||
\(56\) | 0.807483 | + | 2.48518i | 0.107904 | + | 0.332096i | ||||
\(57\) | 3.18427i | 0.421766i | ||||||||
\(58\) | 0.194898 | − | 0.0633261i | 0.0255913 | − | 0.00831512i | ||||
\(59\) | 8.94530 | + | 6.49914i | 1.16458 | + | 0.846116i | 0.990350 | − | 0.138589i | \(-0.0442566\pi\) |
0.174229 | + | 0.984705i | \(0.444257\pi\) | |||||||
\(60\) | 7.06070 | + | 0.918799i | 0.911533 | + | 0.118616i | ||||
\(61\) | −4.00965 | + | 2.91318i | −0.513383 | + | 0.372995i | −0.814106 | − | 0.580717i | \(-0.802772\pi\) |
0.300722 | + | 0.953712i | \(0.402772\pi\) | |||||||
\(62\) | 0.861929 | − | 1.18634i | 0.109465 | − | 0.150666i | ||||
\(63\) | 10.9658 | − | 15.0931i | 1.38156 | − | 1.90155i | ||||
\(64\) | 0.809017 | − | 0.587785i | 0.101127 | − | 0.0734732i | ||||
\(65\) | 15.1971 | + | 1.97758i | 1.88497 | + | 0.245289i | ||||
\(66\) | 12.7305 | + | 9.24922i | 1.56701 | + | 1.13850i | ||||
\(67\) | −1.72989 | + | 0.562077i | −0.211340 | + | 0.0686686i | −0.412774 | − | 0.910834i | \(-0.635440\pi\) |
0.201434 | + | 0.979502i | \(0.435440\pi\) | |||||||
\(68\) | 1.02950i | 0.124845i | ||||||||
\(69\) | −6.31595 | − | 19.4385i | −0.760352 | − | 2.34012i | ||||
\(70\) | 5.27757 | + | 2.50757i | 0.630790 | + | 0.299712i | ||||
\(71\) | −1.68685 | + | 5.19158i | −0.200192 | + | 0.616128i | 0.799685 | + | 0.600420i | \(0.205000\pi\) |
−0.999877 | + | 0.0157074i | \(0.995000\pi\) | |||||||
\(72\) | −6.79011 | − | 2.20624i | −0.800222 | − | 0.260008i | ||||
\(73\) | −0.796674 | − | 1.09653i | −0.0932436 | − | 0.128339i | 0.759846 | − | 0.650103i | \(-0.225274\pi\) |
−0.853090 | + | 0.521764i | \(0.825274\pi\) | |||||||
\(74\) | −7.36491 | −0.856154 | ||||||||
\(75\) | 12.3431 | − | 10.0566i | 1.42526 | − | 1.16124i | ||||
\(76\) | 1.00000 | 0.114708 | ||||||||
\(77\) | 7.59009 | + | 10.4469i | 0.864971 | + | 1.19053i | ||||
\(78\) | −20.7558 | − | 6.74395i | −2.35013 | − | 0.763602i | ||||
\(79\) | −0.267074 | + | 0.821970i | −0.0300482 | + | 0.0924788i | −0.964956 | − | 0.262412i | \(-0.915482\pi\) |
0.934908 | + | 0.354891i | \(0.115482\pi\) | |||||||
\(80\) | 0.288543 | − | 2.21737i | 0.0322601 | − | 0.247910i | ||||
\(81\) | 6.35168 | + | 19.5485i | 0.705742 | + | 2.17205i | ||||
\(82\) | 8.38551i | 0.926025i | ||||||||
\(83\) | −6.89062 | + | 2.23890i | −0.756343 | + | 0.245751i | −0.661708 | − | 0.749761i | \(-0.730168\pi\) |
−0.0946348 | + | 0.995512i | \(0.530168\pi\) | |||||||
\(84\) | −6.73159 | − | 4.89079i | −0.734477 | − | 0.533629i | ||||
\(85\) | 1.67220 | + | 1.58211i | 0.181376 | + | 0.171604i | ||||
\(86\) | −8.37894 | + | 6.08765i | −0.903524 | + | 0.656449i | ||||
\(87\) | −0.383555 | + | 0.527919i | −0.0411214 | + | 0.0565988i | ||||
\(88\) | 2.90467 | − | 3.99793i | 0.309638 | − | 0.426181i | ||||
\(89\) | −12.1055 | + | 8.79515i | −1.28318 | + | 0.932284i | −0.999644 | − | 0.0266777i | \(-0.991507\pi\) |
−0.283535 | + | 0.958962i | \(0.591507\pi\) | |||||||
\(90\) | −14.0185 | + | 7.63862i | −1.47767 | + | 0.805181i | ||||
\(91\) | −14.4888 | − | 10.5267i | −1.51884 | − | 1.10350i | ||||
\(92\) | −6.10455 | + | 1.98349i | −0.636444 | + | 0.206793i | ||||
\(93\) | 4.66941i | 0.484195i | ||||||||
\(94\) | 1.06301 | + | 3.27161i | 0.109641 | + | 0.337441i | ||||
\(95\) | 1.53678 | − | 1.62429i | 0.157670 | − | 0.166649i | ||||
\(96\) | −0.983992 | + | 3.02842i | −0.100428 | + | 0.309086i | ||||
\(97\) | 8.78055 | + | 2.85297i | 0.891530 | + | 0.289676i | 0.718737 | − | 0.695282i | \(-0.244721\pi\) |
0.172793 | + | 0.984958i | \(0.444721\pi\) | |||||||
\(98\) | 0.101020 | + | 0.139043i | 0.0102046 | + | 0.0140454i | ||||
\(99\) | −35.2816 | −3.54593 | ||||||||
\(100\) | −3.15823 | − | 3.87628i | −0.315823 | − | 0.387628i | ||||
\(101\) | −6.86878 | −0.683469 | −0.341735 | − | 0.939796i | \(-0.611014\pi\) | ||||
−0.341735 | + | 0.939796i | \(0.611014\pi\) | |||||||
\(102\) | −1.92687 | − | 2.65212i | −0.190789 | − | 0.262599i | ||||
\(103\) | 14.8654 | + | 4.83008i | 1.46474 | + | 0.475922i | 0.929513 | − | 0.368789i | \(-0.120228\pi\) |
0.535223 | + | 0.844711i | \(0.320228\pi\) | |||||||
\(104\) | −2.11790 | + | 6.51823i | −0.207677 | + | 0.639165i | ||||
\(105\) | −18.2890 | + | 3.41802i | −1.78482 | + | 0.333565i | ||||
\(106\) | 3.15987 | + | 9.72507i | 0.306913 | + | 0.944583i | ||||
\(107\) | − | 17.8003i | − | 1.72082i | −0.509604 | − | 0.860409i | \(-0.670208\pi\) | ||
0.509604 | − | 0.860409i | \(-0.329792\pi\) | |||||||
\(108\) | 12.5363 | − | 4.07328i | 1.20630 | − | 0.391951i | ||||
\(109\) | −6.38975 | − | 4.64242i | −0.612027 | − | 0.444664i | 0.238101 | − | 0.971241i | \(-0.423475\pi\) |
−0.850127 | + | 0.526577i | \(0.823475\pi\) | |||||||
\(110\) | −2.02998 | − | 10.8619i | −0.193551 | − | 1.03565i | ||||
\(111\) | 18.9729 | − | 13.7846i | 1.80083 | − | 1.30838i | ||||
\(112\) | −1.53592 | + | 2.11402i | −0.145131 | + | 0.199756i | ||||
\(113\) | −0.241792 | + | 0.332798i | −0.0227459 | + | 0.0313070i | −0.820238 | − | 0.572022i | \(-0.806159\pi\) |
0.797493 | + | 0.603329i | \(0.206159\pi\) | |||||||
\(114\) | −2.57612 | + | 1.87166i | −0.241276 | + | 0.175297i | ||||
\(115\) | −6.15956 | + | 12.9637i | −0.574382 | + | 1.20888i | ||||
\(116\) | 0.165790 | + | 0.120453i | 0.0153932 | + | 0.0111838i | ||||
\(117\) | 46.5372 | − | 15.1208i | 4.30236 | − | 1.39792i | ||||
\(118\) | 11.0570i | 1.01788i | ||||||||
\(119\) | −0.831302 | − | 2.55849i | −0.0762054 | − | 0.234536i | ||||
\(120\) | 3.40685 | + | 6.25229i | 0.311002 | + | 0.570753i | ||||
\(121\) | 4.14717 | − | 12.7637i | 0.377015 | − | 1.16033i | ||||
\(122\) | −4.71363 | − | 1.53155i | −0.426752 | − | 0.138660i | ||||
\(123\) | −15.6949 | − | 21.6021i | −1.41516 | − | 1.94780i | ||||
\(124\) | 1.46640 | 0.131687 | ||||||||
\(125\) | −11.1497 | − | 0.827090i | −0.997260 | − | 0.0739772i | ||||
\(126\) | 18.6561 | 1.66202 | ||||||||
\(127\) | −3.51955 | − | 4.84424i | −0.312309 | − | 0.429857i | 0.623790 | − | 0.781592i | \(-0.285592\pi\) |
−0.936100 | + | 0.351735i | \(0.885592\pi\) | |||||||
\(128\) | 0.951057 | + | 0.309017i | 0.0840623 | + | 0.0273135i | ||||
\(129\) | 10.1911 | − | 31.3651i | 0.897280 | − | 2.76154i | ||||
\(130\) | 7.33276 | + | 13.4571i | 0.643125 | + | 1.18027i | ||||
\(131\) | 0.900063 | + | 2.77011i | 0.0786388 | + | 0.242025i | 0.982646 | − | 0.185493i | \(-0.0593881\pi\) |
−0.904007 | + | 0.427518i | \(0.859388\pi\) | |||||||
\(132\) | 15.7357i | 1.36962i | ||||||||
\(133\) | −2.48518 | + | 0.807483i | −0.215492 | + | 0.0700177i | ||||
\(134\) | −1.47154 | − | 1.06913i | −0.127121 | − | 0.0923591i | ||||
\(135\) | 12.6492 | − | 26.6223i | 1.08867 | − | 2.29128i | ||||
\(136\) | −0.832882 | + | 0.605124i | −0.0714190 | + | 0.0518889i | ||||
\(137\) | 7.72206 | − | 10.6285i | 0.659740 | − | 0.908054i | −0.339733 | − | 0.940522i | \(-0.610337\pi\) |
0.999473 | + | 0.0324679i | \(0.0103367\pi\) | |||||||
\(138\) | 12.0137 | − | 16.5354i | 1.02267 | − | 1.40759i | ||||
\(139\) | 5.03123 | − | 3.65540i | 0.426743 | − | 0.310047i | −0.353602 | − | 0.935396i | \(-0.615043\pi\) |
0.780345 | + | 0.625349i | \(0.215043\pi\) | |||||||
\(140\) | 1.07341 | + | 5.74356i | 0.0907197 | + | 0.485419i | ||||
\(141\) | −8.86181 | − | 6.43848i | −0.746299 | − | 0.542218i | ||||
\(142\) | −5.19158 | + | 1.68685i | −0.435668 | + | 0.141557i | ||||
\(143\) | 33.8689i | 2.83226i | ||||||||
\(144\) | −2.20624 | − | 6.79011i | −0.183853 | − | 0.565842i | ||||
\(145\) | 0.450433 | − | 0.0841811i | 0.0374064 | − | 0.00699086i | ||||
\(146\) | 0.418836 | − | 1.28905i | 0.0346631 | − | 0.106682i | ||||
\(147\) | −0.520483 | − | 0.169115i | −0.0429287 | − | 0.0139484i | ||||
\(148\) | −4.32899 | − | 5.95834i | −0.355840 | − | 0.489772i | ||||
\(149\) | 9.08826 | 0.744540 | 0.372270 | − | 0.928125i | \(-0.378580\pi\) | ||||
0.372270 | + | 0.928125i | \(0.378580\pi\) | |||||||
\(150\) | 15.3911 | + | 4.07464i | 1.25668 | + | 0.332693i | ||||
\(151\) | 22.0158 | 1.79162 | 0.895808 | − | 0.444440i | \(-0.146597\pi\) | ||||
0.895808 | + | 0.444440i | \(0.146597\pi\) | |||||||
\(152\) | 0.587785 | + | 0.809017i | 0.0476757 | + | 0.0656199i | ||||
\(153\) | 6.99041 | + | 2.27132i | 0.565141 | + | 0.183625i | ||||
\(154\) | −3.99035 | + | 12.2810i | −0.321551 | + | 0.989633i | ||||
\(155\) | 2.25353 | − | 2.38186i | 0.181008 | − | 0.191316i | ||||
\(156\) | −6.74395 | − | 20.7558i | −0.539949 | − | 1.66179i | ||||
\(157\) | 4.18116i | 0.333693i | 0.985983 | + | 0.166846i | \(0.0533584\pi\) | ||||
−0.985983 | + | 0.166846i | \(0.946642\pi\) | |||||||
\(158\) | −0.821970 | + | 0.267074i | −0.0653924 | + | 0.0212473i | ||||
\(159\) | −26.3423 | − | 19.1388i | −2.08908 | − | 1.51780i | ||||
\(160\) | 1.96349 | − | 1.06990i | 0.155228 | − | 0.0845832i | ||||
\(161\) | 13.5693 | − | 9.85864i | 1.06941 | − | 0.776970i | ||||
\(162\) | −12.0816 | + | 16.6289i | −0.949221 | + | 1.30649i | ||||
\(163\) | 7.91066 | − | 10.8881i | 0.619611 | − | 0.852821i | −0.377714 | − | 0.925922i | \(-0.623290\pi\) |
0.997325 | + | 0.0731013i | \(0.0232897\pi\) | |||||||
\(164\) | −6.78402 | + | 4.92888i | −0.529743 | + | 0.384881i | ||||
\(165\) | 25.5594 | + | 24.1823i | 1.98980 | + | 1.88259i | ||||
\(166\) | −5.86151 | − | 4.25863i | −0.454941 | − | 0.330534i | ||||
\(167\) | 6.64274 | − | 2.15836i | 0.514031 | − | 0.167019i | −0.0405038 | − | 0.999179i | \(-0.512896\pi\) |
0.554535 | + | 0.832161i | \(0.312896\pi\) | |||||||
\(168\) | − | 8.32071i | − | 0.641956i | ||||||
\(169\) | −10.4982 | − | 32.3100i | −0.807551 | − | 2.48539i | ||||
\(170\) | −0.297055 | + | 2.28278i | −0.0227831 | + | 0.175081i | ||||
\(171\) | 2.20624 | − | 6.79011i | 0.168715 | − | 0.519253i | ||||
\(172\) | −9.85003 | − | 3.20047i | −0.751058 | − | 0.244033i | ||||
\(173\) | −4.21906 | − | 5.80704i | −0.320769 | − | 0.441501i | 0.617933 | − | 0.786231i | \(-0.287970\pi\) |
−0.938702 | + | 0.344730i | \(0.887970\pi\) | |||||||
\(174\) | −0.652543 | −0.0494692 | ||||||||
\(175\) | 10.9788 | + | 7.08303i | 0.829919 | + | 0.535427i | ||||
\(176\) | 4.94171 | 0.372496 | ||||||||
\(177\) | −20.6950 | − | 28.4842i | −1.55553 | − | 2.14100i | ||||
\(178\) | −14.2309 | − | 4.62388i | −1.06665 | − | 0.346575i | ||||
\(179\) | −5.20794 | + | 16.0284i | −0.389260 | + | 1.19802i | 0.544082 | + | 0.839032i | \(0.316878\pi\) |
−0.933342 | + | 0.358987i | \(0.883122\pi\) | |||||||
\(180\) | −14.4196 | − | 6.85130i | −1.07477 | − | 0.510666i | ||||
\(181\) | 0.817864 | + | 2.51713i | 0.0607913 | + | 0.187097i | 0.976840 | − | 0.213970i | \(-0.0686395\pi\) |
−0.916049 | + | 0.401067i | \(0.868640\pi\) | |||||||
\(182\) | − | 17.9091i | − | 1.32751i | ||||||
\(183\) | 15.0094 | − | 4.87686i | 1.10953 | − | 0.360508i | ||||
\(184\) | −5.19284 | − | 3.77282i | −0.382821 | − | 0.278136i | ||||
\(185\) | −16.3308 | − | 2.12510i | −1.20066 | − | 0.156240i | ||||
\(186\) | −3.77763 | + | 2.74461i | −0.276989 | + | 0.201245i | ||||
\(187\) | −2.99035 | + | 4.11586i | −0.218676 | + | 0.300982i | ||||
\(188\) | −2.02197 | + | 2.78300i | −0.147467 | + | 0.202971i | ||||
\(189\) | −27.8657 | + | 20.2456i | −2.02693 | + | 1.47265i | ||||
\(190\) | 2.21737 | + | 0.288543i | 0.160865 | + | 0.0209331i | ||||
\(191\) | 16.5634 | + | 12.0340i | 1.19849 | + | 0.870751i | 0.994135 | − | 0.108147i | \(-0.0344916\pi\) |
0.204351 | + | 0.978898i | \(0.434492\pi\) | |||||||
\(192\) | −3.02842 | + | 0.983992i | −0.218557 | + | 0.0710135i | ||||
\(193\) | 4.95542i | 0.356699i | 0.983967 | + | 0.178349i | \(0.0570757\pi\) | ||||
−0.983967 | + | 0.178349i | \(0.942924\pi\) | |||||||
\(194\) | 2.85297 | + | 8.78055i | 0.204832 | + | 0.630407i | ||||
\(195\) | −44.0773 | − | 20.9428i | −3.15644 | − | 1.49975i | ||||
\(196\) | −0.0531096 | + | 0.163455i | −0.00379354 | + | 0.0116753i | ||||
\(197\) | −3.96584 | − | 1.28858i | −0.282554 | − | 0.0918075i | 0.164311 | − | 0.986409i | \(-0.447460\pi\) |
−0.446866 | + | 0.894601i | \(0.647460\pi\) | |||||||
\(198\) | −20.7380 | − | 28.5434i | −1.47378 | − | 2.02849i | ||||
\(199\) | 14.1230 | 1.00115 | 0.500577 | − | 0.865692i | \(-0.333121\pi\) | ||||
0.500577 | + | 0.865692i | \(0.333121\pi\) | |||||||
\(200\) | 1.27962 | − | 4.83349i | 0.0904826 | − | 0.341779i | ||||
\(201\) | 5.79192 | 0.408530 | ||||||||
\(202\) | −4.03737 | − | 5.55696i | −0.284068 | − | 0.390986i | ||||
\(203\) | −0.509281 | − | 0.165475i | −0.0357445 | − | 0.0116141i | ||||
\(204\) | 1.01302 | − | 3.11775i | 0.0709255 | − | 0.218286i | ||||
\(205\) | −2.41958 | + | 18.5938i | −0.168991 | + | 1.29865i | ||||
\(206\) | 4.83008 | + | 14.8654i | 0.336527 | + | 1.03572i | ||||
\(207\) | 45.8266i | 3.18517i | ||||||||
\(208\) | −6.51823 | + | 2.11790i | −0.451958 | + | 0.146850i | ||||
\(209\) | 3.99793 | + | 2.90467i | 0.276543 | + | 0.200920i | ||||
\(210\) | −13.5152 | − | 12.7871i | −0.932641 | − | 0.882391i | ||||
\(211\) | −8.68983 | + | 6.31353i | −0.598233 | + | 0.434641i | −0.845251 | − | 0.534369i | \(-0.820549\pi\) |
0.247018 | + | 0.969011i | \(0.420549\pi\) | |||||||
\(212\) | −6.01043 | + | 8.27264i | −0.412798 | + | 0.568167i | ||||
\(213\) | 10.2170 | − | 14.0624i | 0.700054 | − | 0.963542i | ||||
\(214\) | 14.4007 | − | 10.4627i | 0.984414 | − | 0.715219i | ||||
\(215\) | −20.3358 | + | 11.0809i | −1.38689 | + | 0.755712i | ||||
\(216\) | 10.6640 | + | 7.74784i | 0.725592 | + | 0.527173i | ||||
\(217\) | −3.64426 | + | 1.18409i | −0.247389 | + | 0.0803815i | ||||
\(218\) | − | 7.89816i | − | 0.534931i | ||||||
\(219\) | 1.33369 | + | 4.10466i | 0.0901221 | + | 0.277367i | ||||
\(220\) | 7.59430 | − | 8.02678i | 0.512008 | − | 0.541165i | ||||
\(221\) | 2.18037 | − | 6.71050i | 0.146668 | − | 0.451397i | ||||
\(222\) | 22.3040 | + | 7.24701i | 1.49695 | + | 0.486388i | ||||
\(223\) | −2.53109 | − | 3.48375i | −0.169494 | − | 0.233289i | 0.715817 | − | 0.698288i | \(-0.246055\pi\) |
−0.885311 | + | 0.464999i | \(0.846055\pi\) | |||||||
\(224\) | −2.61307 | −0.174593 | ||||||||
\(225\) | −33.2882 | + | 12.8927i | −2.21921 | + | 0.859515i | ||||
\(226\) | −0.411361 | −0.0273633 | ||||||||
\(227\) | −15.7029 | − | 21.6132i | −1.04224 | − | 1.43452i | −0.895347 | − | 0.445369i | \(-0.853072\pi\) |
−0.146894 | − | 0.989152i | \(-0.546928\pi\) | |||||||
\(228\) | −3.02842 | − | 0.983992i | −0.200562 | − | 0.0651665i | ||||
\(229\) | 0.293786 | − | 0.904181i | 0.0194139 | − | 0.0597499i | −0.940880 | − | 0.338739i | \(-0.889999\pi\) |
0.960294 | + | 0.278990i | \(0.0899995\pi\) | |||||||
\(230\) | −14.1084 | + | 2.63671i | −0.930280 | + | 0.173859i | ||||
\(231\) | −12.7063 | − | 39.1061i | −0.836015 | − | 2.57299i | ||||
\(232\) | 0.204927i | 0.0134541i | ||||||||
\(233\) | −9.68361 | + | 3.14640i | −0.634394 | + | 0.206127i | −0.608521 | − | 0.793538i | \(-0.708237\pi\) |
−0.0258737 | + | 0.999665i | \(0.508237\pi\) | |||||||
\(234\) | 39.5869 | + | 28.7615i | 2.58787 | + | 1.88020i | ||||
\(235\) | 1.41309 | + | 7.56111i | 0.0921799 | + | 0.493233i | ||||
\(236\) | −8.94530 | + | 6.49914i | −0.582290 | + | 0.423058i | ||||
\(237\) | 1.61762 | − | 2.22647i | 0.105076 | − | 0.144625i | ||||
\(238\) | 1.58123 | − | 2.17638i | 0.102496 | − | 0.141074i | ||||
\(239\) | 2.54946 | − | 1.85229i | 0.164911 | − | 0.119815i | −0.502269 | − | 0.864711i | \(-0.667501\pi\) |
0.667180 | + | 0.744897i | \(0.267501\pi\) | |||||||
\(240\) | −3.05571 | + | 6.43120i | −0.197245 | + | 0.415132i | ||||
\(241\) | −10.3041 | − | 7.48635i | −0.663744 | − | 0.482238i | 0.204181 | − | 0.978933i | \(-0.434547\pi\) |
−0.867925 | + | 0.496695i | \(0.834547\pi\) | |||||||
\(242\) | 12.7637 | − | 4.14717i | 0.820480 | − | 0.266590i | ||||
\(243\) | − | 25.9066i | − | 1.66191i | ||||||
\(244\) | −1.53155 | − | 4.71363i | −0.0980475 | − | 0.301759i | ||||
\(245\) | 0.183880 | + | 0.337458i | 0.0117477 | + | 0.0215594i | ||||
\(246\) | 8.25128 | − | 25.3948i | 0.526082 | − | 1.61911i | ||||
\(247\) | −6.51823 | − | 2.11790i | −0.414745 | − | 0.134759i | ||||
\(248\) | 0.861929 | + | 1.18634i | 0.0547325 | + | 0.0753329i | ||||
\(249\) | 23.0707 | 1.46205 | ||||||||
\(250\) | −5.88450 | − | 9.50645i | −0.372169 | − | 0.601241i | ||||
\(251\) | −3.85340 | −0.243224 | −0.121612 | − | 0.992578i | \(-0.538806\pi\) | ||||
−0.121612 | + | 0.992578i | \(0.538806\pi\) | |||||||
\(252\) | 10.9658 | + | 15.0931i | 0.690780 | + | 0.950777i | ||||
\(253\) | −30.1669 | − | 9.80183i | −1.89658 | − | 0.616236i | ||||
\(254\) | 1.85034 | − | 5.69475i | 0.116100 | − | 0.357320i | ||||
\(255\) | −3.50735 | − | 6.43672i | −0.219639 | − | 0.403083i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | − | 26.8827i | − | 1.67690i | −0.544979 | − | 0.838450i | \(-0.683462\pi\) | ||
0.544979 | − | 0.838450i | \(-0.316538\pi\) | |||||||
\(258\) | 31.3651 | − | 10.1911i | 1.95271 | − | 0.634473i | ||||
\(259\) | 15.5696 | + | 11.3119i | 0.967445 | + | 0.702890i | ||||
\(260\) | −6.57696 | + | 13.8422i | −0.407886 | + | 0.858459i | ||||
\(261\) | 1.18366 | − | 0.859982i | 0.0732669 | − | 0.0532315i | ||||
\(262\) | −1.71202 | + | 2.35639i | −0.105769 | + | 0.145579i | ||||
\(263\) | 2.92229 | − | 4.02218i | 0.180196 | − | 0.248018i | −0.709358 | − | 0.704848i | \(-0.751015\pi\) |
0.889554 | + | 0.456830i | \(0.151015\pi\) | |||||||
\(264\) | −12.7305 | + | 9.24922i | −0.783506 | + | 0.569250i | ||||
\(265\) | 4.20050 | + | 22.4759i | 0.258035 | + | 1.38068i | ||||
\(266\) | −2.11402 | − | 1.53592i | −0.129619 | − | 0.0941735i | ||||
\(267\) | 45.3148 | − | 14.7237i | 2.77322 | − | 0.901074i | ||||
\(268\) | − | 1.81892i | − | 0.111108i | ||||||
\(269\) | 6.77914 | + | 20.8641i | 0.413332 | + | 1.27210i | 0.913735 | + | 0.406312i | \(0.133185\pi\) |
−0.500403 | + | 0.865793i | \(0.666815\pi\) | |||||||
\(270\) | 28.9729 | − | 5.41472i | 1.76323 | − | 0.329529i | ||||
\(271\) | −8.58516 | + | 26.4224i | −0.521511 | + | 1.60505i | 0.249602 | + | 0.968349i | \(0.419700\pi\) |
−0.771113 | + | 0.636698i | \(0.780300\pi\) | |||||||
\(272\) | −0.979111 | − | 0.318132i | −0.0593673 | − | 0.0192896i | ||||
\(273\) | 33.5198 | + | 46.1361i | 2.02871 | + | 2.79228i | ||||
\(274\) | 13.1375 | 0.793668 | ||||||||
\(275\) | −1.36708 | − | 24.6707i | −0.0824381 | − | 1.48770i | ||||
\(276\) | 20.4389 | 1.23027 | ||||||||
\(277\) | −4.78212 | − | 6.58202i | −0.287329 | − | 0.395475i | 0.640815 | − | 0.767695i | \(-0.278597\pi\) |
−0.928144 | + | 0.372220i | \(0.878597\pi\) | |||||||
\(278\) | 5.91457 | + | 1.92176i | 0.354732 | + | 0.115259i | ||||
\(279\) | 3.23523 | − | 9.95702i | 0.193688 | − | 0.596111i | ||||
\(280\) | −4.01570 | + | 4.24439i | −0.239984 | + | 0.253651i | ||||
\(281\) | 4.51374 | + | 13.8919i | 0.269267 | + | 0.828720i | 0.990679 | + | 0.136214i | \(0.0434933\pi\) |
−0.721412 | + | 0.692506i | \(0.756507\pi\) | |||||||
\(282\) | − | 10.9538i | − | 0.652290i | ||||||
\(283\) | −1.73599 | + | 0.564056i | −0.103194 | + | 0.0335297i | −0.360159 | − | 0.932891i | \(-0.617277\pi\) |
0.256965 | + | 0.966421i | \(0.417277\pi\) | |||||||
\(284\) | −4.41623 | − | 3.20858i | −0.262055 | − | 0.190394i | ||||
\(285\) | −6.25229 | + | 3.40685i | −0.370353 | + | 0.201805i | ||||
\(286\) | −27.4005 | + | 19.9076i | −1.62022 | + | 1.17716i | ||||
\(287\) | 12.8795 | − | 17.7271i | 0.760253 | − | 1.04640i | ||||
\(288\) | 4.19652 | − | 5.77601i | 0.247282 | − | 0.340355i | ||||
\(289\) | −12.8958 | + | 9.36938i | −0.758579 | + | 0.551140i | ||||
\(290\) | 0.332862 | + | 0.314927i | 0.0195463 | + | 0.0184932i | ||||
\(291\) | −23.7839 | − | 17.2800i | −1.39423 | − | 1.01297i | ||||
\(292\) | 1.28905 | − | 0.418836i | 0.0754357 | − | 0.0245105i | ||||
\(293\) | 16.3821i | 0.957054i | 0.878073 | + | 0.478527i | \(0.158829\pi\) | ||||
−0.878073 | + | 0.478527i | \(0.841171\pi\) | |||||||
\(294\) | −0.169115 | − | 0.520483i | −0.00986299 | − | 0.0303552i | ||||
\(295\) | −3.19043 | + | 24.5175i | −0.185754 | + | 1.42746i | ||||
\(296\) | 2.27588 | − | 7.00445i | 0.132283 | − | 0.407125i | ||||
\(297\) | 61.9506 | + | 20.1290i | 3.59474 | + | 1.16800i | ||||
\(298\) | 5.34195 | + | 7.35256i | 0.309451 | + | 0.425922i | ||||
\(299\) | 43.9917 | 2.54410 | ||||||||
\(300\) | 5.75021 | + | 14.8467i | 0.331988 | + | 0.857173i | ||||
\(301\) | 27.0634 | 1.55991 | ||||||||
\(302\) | 12.9405 | + | 17.8111i | 0.744644 | + | 1.02491i | ||||
\(303\) | 20.8015 | + | 6.75883i | 1.19502 | + | 0.388285i | ||||
\(304\) | −0.309017 | + | 0.951057i | −0.0177233 | + | 0.0545468i | ||||
\(305\) | −10.0100 | − | 4.75611i | −0.573168 | − | 0.272334i | ||||
\(306\) | 2.27132 | + | 6.99041i | 0.129843 | + | 0.399615i | ||||
\(307\) | − | 8.96379i | − | 0.511591i | −0.966731 | − | 0.255795i | \(-0.917663\pi\) | ||
0.966731 | − | 0.255795i | \(-0.0823373\pi\) | |||||||
\(308\) | −12.2810 | + | 3.99035i | −0.699777 | + | 0.227371i | ||||
\(309\) | −40.2660 | − | 29.2550i | −2.29065 | − | 1.66426i | ||||
\(310\) | 3.25156 | + | 0.423120i | 0.184676 | + | 0.0240316i | ||||
\(311\) | 1.17615 | − | 0.854526i | 0.0666936 | − | 0.0484557i | −0.553939 | − | 0.832557i | \(-0.686876\pi\) |
0.620633 | + | 0.784102i | \(0.286876\pi\) | |||||||
\(312\) | 12.8278 | − | 17.6559i | 0.726229 | − | 0.999569i | ||||
\(313\) | −17.4754 | + | 24.0528i | −0.987765 | + | 1.35954i | −0.0552259 | + | 0.998474i | \(0.517588\pi\) |
−0.932539 | + | 0.361068i | \(0.882412\pi\) | |||||||
\(314\) | −3.38263 | + | 2.45762i | −0.190893 | + | 0.138692i | ||||
\(315\) | 41.3676 | + | 5.38310i | 2.33080 | + | 0.303303i | ||||
\(316\) | −0.699209 | − | 0.508005i | −0.0393336 | − | 0.0285775i | ||||
\(317\) | −20.5818 | + | 6.68744i | −1.15599 | + | 0.375604i | −0.823397 | − | 0.567466i | \(-0.807924\pi\) |
−0.332594 | + | 0.943070i | \(0.607924\pi\) | |||||||
\(318\) | − | 32.5608i | − | 1.82592i | ||||||
\(319\) | 0.312939 | + | 0.963127i | 0.0175212 | + | 0.0539248i | ||||
\(320\) | 2.01968 | + | 0.959627i | 0.112904 | + | 0.0536448i | ||||
\(321\) | −17.5153 | + | 53.9067i | −0.977611 | + | 3.00878i | ||||
\(322\) | 15.9516 | + | 5.18300i | 0.888949 | + | 0.288837i | ||||
\(323\) | −0.605124 | − | 0.832882i | −0.0336700 | − | 0.0463428i | ||||
\(324\) | −20.5545 | −1.14191 | ||||||||
\(325\) | 12.3765 | + | 31.9553i | 0.686524 | + | 1.77256i | ||||
\(326\) | 13.4584 | 0.745393 | ||||||||
\(327\) | 14.7827 | + | 20.3467i | 0.817486 | + | 1.12517i | ||||
\(328\) | −7.97510 | − | 2.59127i | −0.440351 | − | 0.143079i | ||||
\(329\) | 2.77772 | − | 8.54896i | 0.153141 | − | 0.471319i | ||||
\(330\) | −4.54044 | + | 34.8920i | −0.249943 | + | 1.92074i | ||||
\(331\) | 2.76812 | + | 8.51940i | 0.152150 | + | 0.468269i | 0.997861 | − | 0.0653721i | \(-0.0208234\pi\) |
−0.845711 | + | 0.533641i | \(0.820823\pi\) | |||||||
\(332\) | − | 7.24522i | − | 0.397633i | ||||||
\(333\) | −50.0086 | + | 16.2488i | −2.74045 | + | 0.890427i | ||||
\(334\) | 5.65065 | + | 4.10544i | 0.309190 | + | 0.224640i | ||||
\(335\) | −2.95445 | − | 2.79527i | −0.161419 | − | 0.152722i | ||||
\(336\) | 6.73159 | − | 4.89079i | 0.367239 | − | 0.266814i | ||||
\(337\) | −2.22602 | + | 3.06385i | −0.121259 | + | 0.166898i | −0.865331 | − | 0.501201i | \(-0.832892\pi\) |
0.744072 | + | 0.668099i | \(0.232892\pi\) | |||||||
\(338\) | 19.9687 | − | 27.4845i | 1.08615 | − | 1.49496i | ||||
\(339\) | 1.05972 | − | 0.769929i | 0.0575559 | − | 0.0418168i | ||||
\(340\) | −2.02141 | + | 1.10146i | −0.109627 | + | 0.0597352i | ||||
\(341\) | 5.86256 | + | 4.25940i | 0.317476 | + | 0.230660i | ||||
\(342\) | 6.79011 | − | 2.20624i | 0.367167 | − | 0.119300i | ||||
\(343\) | − | 18.7406i | − | 1.01190i | ||||||
\(344\) | −3.20047 | − | 9.85003i | −0.172558 | − | 0.531078i | ||||
\(345\) | 31.4099 | − | 33.1987i | 1.69105 | − | 1.78736i | ||||
\(346\) | 2.21809 | − | 6.82658i | 0.119245 | − | 0.366999i | ||||
\(347\) | 13.7457 | + | 4.46624i | 0.737907 | + | 0.239761i | 0.653770 | − | 0.756694i | \(-0.273187\pi\) |
0.0841374 | + | 0.996454i | \(0.473187\pi\) | |||||||
\(348\) | −0.383555 | − | 0.527919i | −0.0205607 | − | 0.0282994i | ||||
\(349\) | 16.6211 | 0.889707 | 0.444853 | − | 0.895603i | \(-0.353256\pi\) | ||||
0.444853 | + | 0.895603i | \(0.353256\pi\) | |||||||
\(350\) | 0.722883 | + | 13.0453i | 0.0386397 | + | 0.697303i | ||||
\(351\) | −90.3410 | −4.82204 | ||||||||
\(352\) | 2.90467 | + | 3.99793i | 0.154819 | + | 0.213090i | ||||
\(353\) | −14.1495 | − | 4.59744i | −0.753100 | − | 0.244697i | −0.0927853 | − | 0.995686i | \(-0.529577\pi\) |
−0.660314 | + | 0.750989i | \(0.729577\pi\) | |||||||
\(354\) | 10.8800 | − | 33.4852i | 0.578266 | − | 1.77972i | ||||
\(355\) | −11.9984 | + | 2.24237i | −0.636809 | + | 0.119013i | ||||
\(356\) | −4.62388 | − | 14.2309i | −0.245065 | − | 0.754234i | ||||
\(357\) | 8.56615i | 0.453369i | ||||||||
\(358\) | −16.0284 | + | 5.20794i | −0.847128 | + | 0.275248i | ||||
\(359\) | −7.07206 | − | 5.13816i | −0.373249 | − | 0.271181i | 0.385308 | − | 0.922788i | \(-0.374095\pi\) |
−0.758557 | + | 0.651607i | \(0.774095\pi\) | |||||||
\(360\) | −2.93282 | − | 15.6928i | −0.154573 | − | 0.827083i | ||||
\(361\) | −0.809017 | + | 0.587785i | −0.0425798 | + | 0.0309361i | ||||
\(362\) | −1.55567 | + | 2.14120i | −0.0817642 | + | 0.112539i | ||||
\(363\) | −25.1187 | + | 34.5729i | −1.31839 | + | 1.81461i | ||||
\(364\) | 14.4888 | − | 10.5267i | 0.759418 | − | 0.551750i | ||||
\(365\) | 1.30066 | − | 2.73744i | 0.0680798 | − | 0.143284i | ||||
\(366\) | 12.7678 | + | 9.27635i | 0.667383 | + | 0.484882i | ||||
\(367\) | 7.08378 | − | 2.30166i | 0.369770 | − | 0.120146i | −0.118237 | − | 0.992985i | \(-0.537724\pi\) |
0.488007 | + | 0.872840i | \(0.337724\pi\) | |||||||
\(368\) | − | 6.41871i | − | 0.334598i | ||||||
\(369\) | 18.5005 | + | 56.9386i | 0.963095 | + | 2.96410i | ||||
\(370\) | −7.87974 | − | 14.4610i | −0.409648 | − | 0.751789i | ||||
\(371\) | 8.25695 | − | 25.4123i | 0.428680 | − | 1.31934i | ||||
\(372\) | −4.44087 | − | 1.44293i | −0.230248 | − | 0.0748122i | ||||
\(373\) | 4.17340 | + | 5.74419i | 0.216090 | + | 0.297423i | 0.903277 | − | 0.429058i | \(-0.141154\pi\) |
−0.687186 | + | 0.726481i | \(0.741154\pi\) | |||||||
\(374\) | −5.08748 | −0.263068 | ||||||||
\(375\) | 32.9521 | + | 13.4760i | 1.70164 | + | 0.695897i | ||||
\(376\) | −3.43998 | −0.177403 | ||||||||
\(377\) | −0.825547 | − | 1.13627i | −0.0425178 | − | 0.0585208i | ||||
\(378\) | −32.7581 | − | 10.6438i | −1.68490 | − | 0.547456i | ||||
\(379\) | 8.56862 | − | 26.3715i | 0.440141 | − | 1.35461i | −0.447585 | − | 0.894241i | \(-0.647716\pi\) |
0.887726 | − | 0.460372i | \(-0.152284\pi\) | |||||||
\(380\) | 1.06990 | + | 1.96349i | 0.0548848 | + | 0.100725i | ||||
\(381\) | 5.89196 | + | 18.1336i | 0.301854 | + | 0.929012i | ||||
\(382\) | 20.4735i | 1.04752i | ||||||||
\(383\) | 29.0872 | − | 9.45100i | 1.48629 | − | 0.482924i | 0.550302 | − | 0.834966i | \(-0.314513\pi\) |
0.935984 | + | 0.352042i | \(0.114513\pi\) | |||||||
\(384\) | −2.57612 | − | 1.87166i | −0.131462 | − | 0.0955130i | ||||
\(385\) | −12.3917 | + | 26.0802i | −0.631539 | + | 1.32917i | ||||
\(386\) | −4.00902 | + | 2.91272i | −0.204054 | + | 0.148254i | ||||
\(387\) | −43.4631 | + | 59.8218i | −2.20935 | + | 3.04091i | ||||
\(388\) | −5.42668 | + | 7.46918i | −0.275498 | + | 0.379190i | ||||
\(389\) | −15.7258 | + | 11.4254i | −0.797328 | + | 0.579292i | −0.910129 | − | 0.414325i | \(-0.864018\pi\) |
0.112801 | + | 0.993618i | \(0.464018\pi\) | |||||||
\(390\) | −8.96493 | − | 47.9692i | −0.453957 | − | 2.42901i | ||||
\(391\) | 5.34602 | + | 3.88411i | 0.270360 | + | 0.196428i | ||||
\(392\) | −0.163455 | + | 0.0531096i | −0.00825570 | + | 0.00268244i | ||||
\(393\) | − | 9.27469i | − | 0.467846i | ||||||
\(394\) | −1.28858 | − | 3.96584i | −0.0649177 | − | 0.199796i | ||||
\(395\) | −1.89968 | + | 0.355029i | −0.0955831 | + | 0.0178635i | ||||
\(396\) | 10.9026 | − | 33.5548i | 0.547876 | − | 1.68619i | ||||
\(397\) | 5.69498 | + | 1.85041i | 0.285823 | + | 0.0928694i | 0.448420 | − | 0.893823i | \(-0.351987\pi\) |
−0.162597 | + | 0.986693i | \(0.551987\pi\) | |||||||
\(398\) | 8.30131 | + | 11.4258i | 0.416107 | + | 0.572722i | ||||
\(399\) | 8.32071 | 0.416556 | ||||||||
\(400\) | 4.66251 | − | 1.80582i | 0.233126 | − | 0.0902910i | ||||
\(401\) | −8.48337 | −0.423639 | −0.211820 | − | 0.977309i | \(-0.567939\pi\) | ||||
−0.211820 | + | 0.977309i | \(0.567939\pi\) | |||||||
\(402\) | 3.40440 | + | 4.68576i | 0.169796 | + | 0.233705i | ||||
\(403\) | −9.55833 | − | 3.10569i | −0.476134 | − | 0.154705i | ||||
\(404\) | 2.12257 | − | 6.53260i | 0.105602 | − | 0.325009i | ||||
\(405\) | −31.5876 | + | 33.3864i | −1.56960 | + | 1.65898i | ||||
\(406\) | −0.165475 | − | 0.509281i | −0.00821241 | − | 0.0252752i | ||||
\(407\) | − | 36.3953i | − | 1.80405i | ||||||
\(408\) | 3.11775 | − | 1.01302i | 0.154352 | − | 0.0501519i | ||||
\(409\) | −5.75457 | − | 4.18094i | −0.284545 | − | 0.206734i | 0.436352 | − | 0.899776i | \(-0.356270\pi\) |
−0.720897 | + | 0.693042i | \(0.756270\pi\) | |||||||
\(410\) | −16.4649 | + | 8.97168i | −0.813144 | + | 0.443080i | ||||
\(411\) | −33.8440 | + | 24.5891i | −1.66940 | + | 1.21289i | ||||
\(412\) | −9.18735 | + | 12.6453i | −0.452628 | + | 0.622989i | ||||
\(413\) | 16.9827 | − | 23.3747i | 0.835665 | − | 1.15019i | ||||
\(414\) | −37.0745 | + | 26.9362i | −1.82211 | + | 1.32384i | ||||
\(415\) | −11.7683 | − | 11.1343i | −0.577685 | − | 0.546560i | ||||
\(416\) | −5.54473 | − | 4.02848i | −0.271853 | − | 0.197513i | ||||
\(417\) | −18.8335 | + | 6.11939i | −0.922283 | + | 0.299668i | ||||
\(418\) | 4.94171i | 0.241707i | ||||||||
\(419\) | −1.45338 | − | 4.47304i | −0.0710021 | − | 0.218522i | 0.909258 | − | 0.416232i | \(-0.136650\pi\) |
−0.980261 | + | 0.197710i | \(0.936650\pi\) | |||||||
\(420\) | 2.40089 | − | 18.4501i | 0.117151 | − | 0.900273i | ||||
\(421\) | 9.66798 | − | 29.7550i | 0.471188 | − | 1.45017i | −0.379842 | − | 0.925052i | \(-0.624022\pi\) |
0.851030 | − | 0.525117i | \(-0.175978\pi\) | |||||||
\(422\) | −10.2155 | − | 3.31922i | −0.497283 | − | 0.161577i | ||||
\(423\) | 14.4359 | + | 19.8694i | 0.701899 | + | 0.966081i | ||||
\(424\) | −10.2255 | −0.496596 | ||||||||
\(425\) | −1.31736 | + | 4.97606i | −0.0639015 | + | 0.241375i | ||||
\(426\) | 17.3821 | 0.842167 | ||||||||
\(427\) | 7.61235 | + | 10.4775i | 0.368387 | + | 0.507042i | ||||
\(428\) | 16.9291 | + | 5.50059i | 0.818298 | + | 0.265881i | ||||
\(429\) | 33.3267 | − | 102.569i | 1.60903 | − | 4.95208i | ||||
\(430\) | −20.9177 | − | 9.93879i | −1.00874 | − | 0.479291i | ||||
\(431\) | −5.31332 | − | 16.3527i | −0.255934 | − | 0.787683i | −0.993644 | − | 0.112566i | \(-0.964093\pi\) |
0.737711 | − | 0.675117i | \(-0.235907\pi\) | |||||||
\(432\) | 13.1814i | 0.634191i | ||||||||
\(433\) | 25.3469 | − | 8.23570i | 1.21809 | − | 0.395783i | 0.371706 | − | 0.928350i | \(-0.378773\pi\) |
0.846387 | + | 0.532568i | \(0.178773\pi\) | |||||||
\(434\) | −3.10000 | − | 2.25228i | −0.148805 | − | 0.108113i | ||||
\(435\) | −1.44693 | − | 0.188287i | −0.0693751 | − | 0.00902767i | ||||
\(436\) | 6.38975 | − | 4.64242i | 0.306013 | − | 0.222332i | ||||
\(437\) | 3.77282 | − | 5.19284i | 0.180478 | − | 0.248407i | ||||
\(438\) | −2.53682 | + | 3.49163i | −0.121214 | + | 0.166837i | ||||
\(439\) | 6.74163 | − | 4.89808i | 0.321761 | − | 0.233773i | −0.415166 | − | 0.909746i | \(-0.636276\pi\) |
0.736926 | + | 0.675973i | \(0.236276\pi\) | |||||||
\(440\) | 10.9576 | + | 1.42590i | 0.522384 | + | 0.0679770i | ||||
\(441\) | 0.992702 | + | 0.721240i | 0.0472715 | + | 0.0343448i | ||||
\(442\) | 6.71050 | − | 2.18037i | 0.319186 | − | 0.103710i | ||||
\(443\) | 15.9290i | 0.756808i | 0.925641 | + | 0.378404i | \(0.123527\pi\) | ||||
−0.925641 | + | 0.378404i | \(0.876473\pi\) | |||||||
\(444\) | 7.24701 | + | 22.3040i | 0.343928 | + | 1.05850i | ||||
\(445\) | −30.2209 | − | 14.3591i | −1.43261 | − | 0.680686i | ||||
\(446\) | 1.33067 | − | 4.09539i | 0.0630092 | − | 0.193923i | ||||
\(447\) | −27.5230 | − | 8.94278i | −1.30180 | − | 0.422979i | ||||
\(448\) | −1.53592 | − | 2.11402i | −0.0725656 | − | 0.0998780i | ||||
\(449\) | 41.7187 | 1.96883 | 0.984414 | − | 0.175868i | \(-0.0562733\pi\) | ||||
0.984414 | + | 0.175868i | \(0.0562733\pi\) | |||||||
\(450\) | −29.9968 | − | 19.3526i | −1.41406 | − | 0.912289i | ||||
\(451\) | −41.4388 | −1.95128 | ||||||||
\(452\) | −0.241792 | − | 0.332798i | −0.0113729 | − | 0.0156535i | ||||
\(453\) | −66.6729 | − | 21.6633i | −3.13256 | − | 1.01783i | ||||
\(454\) | 8.25552 | − | 25.4079i | 0.387451 | − | 1.19245i | ||||
\(455\) | 5.16756 | − | 39.7112i | 0.242259 | − | 1.86169i | ||||
\(456\) | −0.983992 | − | 3.02842i | −0.0460796 | − | 0.141819i | ||||
\(457\) | − | 9.21965i | − | 0.431277i | −0.976473 | − | 0.215638i | \(-0.930817\pi\) | ||
0.976473 | − | 0.215638i | \(-0.0691833\pi\) | |||||||
\(458\) | 0.904181 | − | 0.293786i | 0.0422496 | − | 0.0137277i | ||||
\(459\) | −10.9786 | − | 7.97638i | −0.512435 | − | 0.372306i | ||||
\(460\) | −10.4258 | − | 9.86411i | −0.486108 | − | 0.459917i | ||||
\(461\) | 2.78450 | − | 2.02306i | 0.129687 | − | 0.0942233i | −0.521051 | − | 0.853526i | \(-0.674460\pi\) |
0.650738 | + | 0.759303i | \(0.274460\pi\) | |||||||
\(462\) | 24.1689 | − | 33.2656i | 1.12444 | − | 1.54766i | ||||
\(463\) | 9.20988 | − | 12.6763i | 0.428019 | − | 0.589118i | −0.539478 | − | 0.842000i | \(-0.681378\pi\) |
0.967497 | + | 0.252882i | \(0.0813784\pi\) | |||||||
\(464\) | −0.165790 | + | 0.120453i | −0.00769660 | + | 0.00559190i | ||||
\(465\) | −9.16835 | + | 4.99581i | −0.425172 | + | 0.231675i | ||||
\(466\) | −8.23737 | − | 5.98480i | −0.381589 | − | 0.277241i | ||||
\(467\) | 4.01867 | − | 1.30575i | 0.185962 | − | 0.0604227i | −0.214556 | − | 0.976712i | \(-0.568830\pi\) |
0.400518 | + | 0.916289i | \(0.368830\pi\) | |||||||
\(468\) | 48.9321i | 2.26189i | ||||||||
\(469\) | 1.46875 | + | 4.52033i | 0.0678204 | + | 0.208730i | ||||
\(470\) | −5.28648 | + | 5.58753i | −0.243847 | + | 0.257733i | ||||
\(471\) | 4.11423 | − | 12.6623i | 0.189574 | − | 0.583447i | ||||
\(472\) | −10.5158 | − | 3.41680i | −0.484031 | − | 0.157271i | ||||
\(473\) | −30.0834 | − | 41.4063i | −1.38324 | − | 1.90386i | ||||
\(474\) | 2.75207 | 0.126407 | ||||||||
\(475\) | 4.83349 | + | 1.27962i | 0.221776 | + | 0.0587128i | ||||
\(476\) | 2.69015 | 0.123303 | ||||||||
\(477\) | 42.9117 | + | 59.0629i | 1.96479 | + | 2.70430i | ||||
\(478\) | 2.99707 | + | 0.973806i | 0.137083 | + | 0.0445409i | ||||
\(479\) | −5.10634 | + | 15.7157i | −0.233315 | + | 0.718069i | 0.764026 | + | 0.645186i | \(0.223220\pi\) |
−0.997340 | + | 0.0728830i | \(0.976780\pi\) | |||||||
\(480\) | −6.99905 | + | 1.30805i | −0.319462 | + | 0.0597039i | ||||
\(481\) | 15.5981 | + | 48.0062i | 0.711214 | + | 2.18889i | ||||
\(482\) | − | 12.7365i | − | 0.580133i | ||||||
\(483\) | −50.7942 | + | 16.5040i | −2.31122 | + | 0.750959i | ||||
\(484\) | 10.8574 | + | 7.88838i | 0.493519 | + | 0.358563i | ||||
\(485\) | 3.79254 | + | 20.2930i | 0.172210 | + | 0.921456i | ||||
\(486\) | 20.9589 | − | 15.2275i | 0.950715 | − | 0.690735i | ||||
\(487\) | −9.71323 | + | 13.3691i | −0.440148 | + | 0.605812i | −0.970245 | − | 0.242125i | \(-0.922156\pi\) |
0.530097 | + | 0.847937i | \(0.322156\pi\) | |||||||
\(488\) | 2.91318 | − | 4.00965i | 0.131874 | − | 0.181508i | ||||
\(489\) | −34.6706 | + | 25.1896i | −1.56786 | + | 1.13911i | ||||
\(490\) | −0.164928 | + | 0.347115i | −0.00745067 | + | 0.0156811i | ||||
\(491\) | 14.3637 | + | 10.4359i | 0.648226 | + | 0.470964i | 0.862667 | − | 0.505773i | \(-0.168793\pi\) |
−0.214440 | + | 0.976737i | \(0.568793\pi\) | |||||||
\(492\) | 25.3948 | − | 8.25128i | 1.14489 | − | 0.371996i | ||||
\(493\) | − | 0.210972i | − | 0.00950172i | ||||||
\(494\) | −2.11790 | − | 6.51823i | −0.0952888 | − | 0.293269i | ||||
\(495\) | −37.7478 | − | 69.2751i | −1.69664 | − | 3.11369i | ||||
\(496\) | −0.453143 | + | 1.39463i | −0.0203467 | + | 0.0626207i | ||||
\(497\) | 13.5660 | + | 4.40785i | 0.608517 | + | 0.197719i | ||||
\(498\) | 13.5606 | + | 18.6646i | 0.607666 | + | 0.836380i | ||||
\(499\) | −35.6431 | −1.59560 | −0.797801 | − | 0.602920i | \(-0.794004\pi\) | ||||
−0.797801 | + | 0.602920i | \(0.794004\pi\) | |||||||
\(500\) | 4.23206 | − | 10.3484i | 0.189263 | − | 0.462795i | ||||
\(501\) | −22.2408 | −0.993645 | ||||||||
\(502\) | −2.26497 | − | 3.11746i | −0.101091 | − | 0.139139i | ||||
\(503\) | 11.9456 | + | 3.88136i | 0.532628 | + | 0.173061i | 0.562969 | − | 0.826478i | \(-0.309659\pi\) |
−0.0303407 | + | 0.999540i | \(0.509659\pi\) | |||||||
\(504\) | −5.76506 | + | 17.7430i | −0.256796 | + | 0.790337i | ||||
\(505\) | −7.34893 | − | 13.4868i | −0.327023 | − | 0.600155i | ||||
\(506\) | −9.80183 | − | 30.1669i | −0.435745 | − | 1.34108i | ||||
\(507\) | 108.178i | 4.80437i | ||||||||
\(508\) | 5.69475 | − | 1.85034i | 0.252664 | − | 0.0820954i | ||||
\(509\) | −14.1970 | − | 10.3148i | −0.629273 | − | 0.457193i | 0.226876 | − | 0.973924i | \(-0.427149\pi\) |
−0.856148 | + | 0.516730i | \(0.827149\pi\) | |||||||
\(510\) | 3.14584 | − | 6.62091i | 0.139300 | − | 0.293179i | ||||
\(511\) | −2.86530 | + | 2.08176i | −0.126754 | + | 0.0920919i | ||||
\(512\) | −0.587785 | + | 0.809017i | −0.0259767 | + | 0.0357538i | ||||
\(513\) | −7.74784 | + | 10.6640i | −0.342075 | + | 0.470826i | ||||
\(514\) | 21.7486 | − | 15.8013i | 0.959290 | − | 0.696965i | ||||
\(515\) | 6.42075 | + | 34.3559i | 0.282932 | + | 1.51390i | ||||
\(516\) | 26.6808 | + | 19.3847i | 1.17455 | + | 0.853364i | ||||
\(517\) | −16.1674 | + | 5.25310i | −0.711040 | + | 0.231031i | ||||
\(518\) | 19.2450i | 0.845578i | ||||||||
\(519\) | 7.06299 | + | 21.7376i | 0.310031 | + | 0.954177i | ||||
\(520\) | −15.0644 | + | 2.81538i | −0.660620 | + | 0.123463i | ||||
\(521\) | 5.55474 | − | 17.0957i | 0.243358 | − | 0.748978i | −0.752545 | − | 0.658541i | \(-0.771174\pi\) |
0.995902 | − | 0.0904365i | \(-0.0288262\pi\) | |||||||
\(522\) | 1.39148 | + | 0.452119i | 0.0609034 | + | 0.0197887i | ||||
\(523\) | −1.69580 | − | 2.33407i | −0.0741521 | − | 0.102062i | 0.770330 | − | 0.637646i | \(-0.220092\pi\) |
−0.844482 | + | 0.535584i | \(0.820092\pi\) | |||||||
\(524\) | −2.91266 | −0.127240 | ||||||||
\(525\) | −26.2787 | − | 32.2534i | −1.14690 | − | 1.40765i | ||||
\(526\) | 4.97169 | 0.216776 | ||||||||
\(527\) | −0.887354 | − | 1.22134i | −0.0386537 | − | 0.0532023i | ||||
\(528\) | −14.9656 | − | 4.86260i | −0.651292 | − | 0.211618i | ||||
\(529\) | −5.62404 | + | 17.3090i | −0.244524 | + | 0.752566i | ||||
\(530\) | −15.7144 | + | 16.6093i | −0.682589 | + | 0.721460i | ||||
\(531\) | 24.3944 | + | 75.0783i | 1.05863 | + | 3.25812i | ||||
\(532\) | − | 2.61307i | − | 0.113291i | ||||||
\(533\) | 54.6587 | − | 17.7597i | 2.36753 | − | 0.769257i | ||||
\(534\) | 38.5471 | + | 28.0061i | 1.66810 | + | 1.21194i | ||||
\(535\) | 34.9508 | − | 19.0446i | 1.51105 | − | 0.823369i | ||||
\(536\) | 1.47154 | − | 1.06913i | 0.0635607 | − | 0.0461795i | ||||
\(537\) | 31.5436 | − | 43.4161i | 1.36121 | − | 1.87354i | ||||
\(538\) | −12.8947 | + | 17.7480i | −0.555930 | + | 0.765172i | ||||
\(539\) | −0.687109 | + | 0.499214i | −0.0295959 | + | 0.0215027i | ||||
\(540\) | 21.4104 | + | 20.2569i | 0.921358 | + | 0.871717i | ||||
\(541\) | −1.45101 | − | 1.05422i | −0.0623837 | − | 0.0453244i | 0.556156 | − | 0.831078i | \(-0.312276\pi\) |
−0.618540 | + | 0.785753i | \(0.712276\pi\) | |||||||
\(542\) | −26.4224 | + | 8.58516i | −1.13494 | + | 0.368764i | ||||
\(543\) | − | 8.42768i | − | 0.361666i | ||||||
\(544\) | −0.318132 | − | 0.979111i | −0.0136398 | − | 0.0419790i | ||||
\(545\) | 2.27896 | − | 17.5132i | 0.0976201 | − | 0.750182i | ||||
\(546\) | −17.6224 | + | 54.2362i | −0.754170 | + | 2.32110i | ||||
\(547\) | −3.02075 | − | 0.981502i | −0.129158 | − | 0.0419660i | 0.243725 | − | 0.969844i | \(-0.421631\pi\) |
−0.372883 | + | 0.927878i | \(0.621631\pi\) | |||||||
\(548\) | 7.72206 | + | 10.6285i | 0.329870 | + | 0.454027i | ||||
\(549\) | −35.3850 | −1.51020 | ||||||||
\(550\) | 19.1555 | − | 15.6071i | 0.816792 | − | 0.665488i | ||||
\(551\) | −0.204927 | −0.00873020 | ||||||||
\(552\) | 12.0137 | + | 16.5354i | 0.511335 | + | 0.703793i | ||||
\(553\) | 2.14786 | + | 0.697884i | 0.0913365 | + | 0.0296770i | ||||
\(554\) | 2.51411 | − | 7.73763i | 0.106814 | − | 0.328740i | ||||
\(555\) | 47.3652 | + | 22.5050i | 2.01054 | + | 0.955284i | ||||
\(556\) | 1.92176 | + | 5.91457i | 0.0815007 | + | 0.250833i | ||||
\(557\) | 30.2127i | 1.28015i | 0.768312 | + | 0.640076i | \(0.221097\pi\) | ||||
−0.768312 | + | 0.640076i | \(0.778903\pi\) | |||||||
\(558\) | 9.95702 | − | 3.23523i | 0.421514 | − | 0.136958i | ||||
\(559\) | 57.4264 | + | 41.7228i | 2.42888 | + | 1.76468i | ||||
\(560\) | −5.79415 | − | 0.753984i | −0.244848 | − | 0.0318616i | ||||
\(561\) | 13.1060 | − | 9.52206i | 0.553335 | − | 0.402022i | ||||
\(562\) | −8.58565 | + | 11.8171i | −0.362164 | + | 0.498476i | ||||
\(563\) | 14.8452 | − | 20.4326i | 0.625650 | − | 0.861133i | −0.372099 | − | 0.928193i | \(-0.621362\pi\) |
0.997749 | + | 0.0670598i | \(0.0213618\pi\) | |||||||
\(564\) | 8.86181 | − | 6.43848i | 0.373150 | − | 0.271109i | ||||
\(565\) | −0.912140 | − | 0.118695i | −0.0383740 | − | 0.00499355i | ||||
\(566\) | −1.47672 | − | 1.07290i | −0.0620711 | − | 0.0450973i | ||||
\(567\) | 51.0815 | − | 16.5974i | 2.14522 | − | 0.697024i | ||||
\(568\) | − | 5.45875i | − | 0.229044i | ||||||
\(569\) | −9.48544 | − | 29.1932i | −0.397650 | − | 1.22384i | −0.926878 | − | 0.375362i | \(-0.877518\pi\) |
0.529228 | − | 0.848480i | \(-0.322482\pi\) | |||||||
\(570\) | −6.43120 | − | 3.05571i | −0.269373 | − | 0.127989i | ||||
\(571\) | −4.89118 | + | 15.0535i | −0.204690 | + | 0.629970i | 0.795036 | + | 0.606562i | \(0.207452\pi\) |
−0.999726 | + | 0.0234081i | \(0.992548\pi\) | |||||||
\(572\) | −32.2112 | − | 10.4661i | −1.34682 | − | 0.437608i | ||||
\(573\) | −38.3195 | − | 52.7423i | −1.60082 | − | 2.20334i | ||||
\(574\) | 21.9119 | 0.914586 | ||||||||
\(575\) | −32.0444 | + | 1.77568i | −1.33634 | + | 0.0740509i | ||||
\(576\) | 7.13954 | 0.297481 | ||||||||
\(577\) | −10.2686 | − | 14.1335i | −0.427488 | − | 0.588386i | 0.539887 | − | 0.841738i | \(-0.318467\pi\) |
−0.967374 | + | 0.253351i | \(0.918467\pi\) | |||||||
\(578\) | −15.1600 | − | 4.92577i | −0.630572 | − | 0.204885i | ||||
\(579\) | 4.87609 | − | 15.0071i | 0.202643 | − | 0.623672i | ||||
\(580\) | −0.0591305 | + | 0.454400i | −0.00245526 | + | 0.0188680i | ||||
\(581\) | 5.85039 | + | 18.0057i | 0.242715 | + | 0.747001i | ||||
\(582\) | − | 29.3985i | − | 1.21861i | ||||||
\(583\) | −48.0585 | + | 15.6152i | −1.99038 | + | 0.646714i | ||||
\(584\) | 1.09653 | + | 0.796674i | 0.0453746 | + | 0.0329666i | ||||
\(585\) | 79.4799 | + | 75.1976i | 3.28609 | + | 3.10904i | ||||
\(586\) | −13.2534 | + | 9.62917i | −0.547494 | + | 0.397778i | ||||
\(587\) | 8.64704 | − | 11.9016i | 0.356901 | − | 0.491233i | −0.592381 | − | 0.805658i | \(-0.701812\pi\) |
0.949282 | + | 0.314425i | \(0.101812\pi\) | |||||||
\(588\) | 0.321676 | − | 0.442749i | 0.0132657 | − | 0.0182587i | ||||
\(589\) | −1.18634 | + | 0.861929i | −0.0488824 | + | 0.0355151i | ||||
\(590\) | −21.7104 | + | 11.8299i | −0.893801 | + | 0.487030i | ||||
\(591\) | 10.7423 | + | 7.80471i | 0.441877 | + | 0.321043i | ||||
\(592\) | 7.00445 | − | 2.27588i | 0.287881 | − | 0.0935382i | ||||
\(593\) | − | 10.5122i | − | 0.431685i | −0.976428 | − | 0.215843i | \(-0.930750\pi\) | ||
0.976428 | − | 0.215843i | \(-0.0692498\pi\) | |||||||
\(594\) | 20.1290 | + | 61.9506i | 0.825902 | + | 2.54186i | ||||
\(595\) | 4.13416 | − | 4.36959i | 0.169484 | − | 0.179136i | ||||
\(596\) | −2.80843 | + | 8.64345i | −0.115038 | + | 0.354050i | ||||
\(597\) | −42.7704 | − | 13.8969i | −1.75048 | − | 0.568764i | ||||
\(598\) | 25.8577 | + | 35.5900i | 1.05740 | + | 1.45538i | ||||
\(599\) | −36.3642 | −1.48580 | −0.742900 | − | 0.669402i | \(-0.766550\pi\) | ||||
−0.742900 | + | 0.669402i | \(0.766550\pi\) | |||||||
\(600\) | −8.63132 | + | 13.3787i | −0.352372 | + | 0.546182i | ||||
\(601\) | 16.6875 | 0.680696 | 0.340348 | − | 0.940300i | \(-0.389455\pi\) | ||||
0.340348 | + | 0.940300i | \(0.389455\pi\) | |||||||
\(602\) | 15.9075 | + | 21.8947i | 0.648340 | + | 0.892363i | ||||
\(603\) | −12.3507 | − | 4.01297i | −0.502958 | − | 0.163421i | ||||
\(604\) | −6.80324 | + | 20.9382i | −0.276820 | + | 0.851964i | ||||
\(605\) | 29.4984 | − | 5.51294i | 1.19928 | − | 0.224133i | ||||
\(606\) | 6.75883 | + | 20.8015i | 0.274559 | + | 0.845004i | ||||
\(607\) | − | 40.4562i | − | 1.64207i | −0.570879 | − | 0.821034i | \(-0.693397\pi\) | ||
0.570879 | − | 0.821034i | \(-0.306603\pi\) | |||||||
\(608\) | −0.951057 | + | 0.309017i | −0.0385704 | + | 0.0125323i | ||||
\(609\) | 1.37949 | + | 1.00226i | 0.0558997 | + | 0.0406135i | ||||
\(610\) | −2.03593 | − | 10.8938i | −0.0824325 | − | 0.441077i | ||||
\(611\) | 19.0738 | − | 13.8579i | 0.771642 | − | 0.560631i | ||||
\(612\) | −4.32031 | + | 5.94639i | −0.174638 | + | 0.240369i | ||||
\(613\) | 4.30913 | − | 5.93101i | 0.174044 | − | 0.239551i | −0.713079 | − | 0.701083i | \(-0.752700\pi\) |
0.887124 | + | 0.461532i | \(0.152700\pi\) | |||||||
\(614\) | 7.25186 | − | 5.26879i | 0.292661 | − | 0.212631i | ||||
\(615\) | 25.6237 | − | 53.9289i | 1.03325 | − | 2.17462i | ||||
\(616\) | −10.4469 | − | 7.59009i | −0.420916 | − | 0.305814i | ||||
\(617\) | −33.1253 | + | 10.7631i | −1.33358 | + | 0.433305i | −0.887136 | − | 0.461509i | \(-0.847308\pi\) |
−0.446440 | + | 0.894814i | \(0.647308\pi\) | |||||||
\(618\) | − | 49.7715i | − | 2.00210i | ||||||
\(619\) | 6.67548 | + | 20.5450i | 0.268310 | + | 0.825774i | 0.990912 | + | 0.134510i | \(0.0429459\pi\) |
−0.722602 | + | 0.691264i | \(0.757054\pi\) | |||||||
\(620\) | 1.56891 | + | 2.87927i | 0.0630088 | + | 0.115634i | ||||
\(621\) | 26.1452 | − | 80.4666i | 1.04917 | − | 3.22901i | ||||
\(622\) | 1.38265 | + | 0.449251i | 0.0554393 | + | 0.0180133i | ||||
\(623\) | 22.9823 | + | 31.6325i | 0.920768 | + | 1.26733i | ||||
\(624\) | 21.8239 | 0.873655 | ||||||||
\(625\) | −10.3051 | − | 22.7773i | −0.412204 | − | 0.911091i | ||||
\(626\) | −29.7308 | −1.18828 | ||||||||
\(627\) | −9.24922 | − | 12.7305i | −0.369378 | − | 0.508406i | ||||
\(628\) | −3.97652 | − | 1.29205i | −0.158680 | − | 0.0515584i | ||||
\(629\) | −2.34302 | + | 7.21107i | −0.0934222 | + | 0.287524i | ||||
\(630\) | 19.9602 | + | 36.6312i | 0.795235 | + | 1.45942i | ||||
\(631\) | −11.9492 | − | 36.7759i | −0.475690 | − | 1.46402i | −0.845025 | − | 0.534727i | \(-0.820414\pi\) |
0.369334 | − | 0.929297i | \(-0.379586\pi\) | |||||||
\(632\) | − | 0.864270i | − | 0.0343788i | ||||||
\(633\) | 32.5289 | − | 10.5693i | 1.29291 | − | 0.420091i | ||||
\(634\) | −17.5080 | − | 12.7203i | −0.695330 | − | 0.505186i | ||||
\(635\) | 5.74606 | − | 12.0935i | 0.228026 | − | 0.479915i | ||||
\(636\) | 26.3423 | − | 19.1388i | 1.04454 | − | 0.758902i | ||||
\(637\) | 0.692361 | − | 0.952953i | 0.0274323 | − | 0.0377574i | ||||
\(638\) | −0.595246 | + | 0.819285i | −0.0235660 | + | 0.0324358i | ||||
\(639\) | −31.5298 | + | 22.9078i | −1.24730 | + | 0.906217i | ||||
\(640\) | 0.410785 | + | 2.19801i | 0.0162377 | + | 0.0868840i | ||||
\(641\) | 18.3972 | + | 13.3664i | 0.726647 | + | 0.527940i | 0.888501 | − | 0.458875i | \(-0.151747\pi\) |
−0.161854 | + | 0.986815i | \(0.551747\pi\) | |||||||
\(642\) | −53.9067 | + | 17.5153i | −2.12753 | + | 0.691275i | ||||
\(643\) | 0.656809i | 0.0259020i | 0.999916 | + | 0.0129510i | \(0.00412255\pi\) | ||||
−0.999916 | + | 0.0129510i | \(0.995877\pi\) | |||||||
\(644\) | 5.18300 | + | 15.9516i | 0.204239 | + | 0.628582i | ||||
\(645\) | 72.4887 | − | 13.5474i | 2.85424 | − | 0.533427i | ||||
\(646\) | 0.318132 | − | 0.979111i | 0.0125168 | − | 0.0385226i | ||||
\(647\) | −24.6218 | − | 8.00011i | −0.967983 | − | 0.314517i | −0.217981 | − | 0.975953i | \(-0.569947\pi\) |
−0.750001 | + | 0.661436i | \(0.769947\pi\) | |||||||
\(648\) | −12.0816 | − | 16.6289i | −0.474610 | − | 0.653245i | ||||
\(649\) | −54.6405 | −2.14483 | ||||||||
\(650\) | −18.5777 | + | 28.7956i | −0.728676 | + | 1.12946i | ||||
\(651\) | 12.2015 | 0.478214 | ||||||||
\(652\) | 7.91066 | + | 10.8881i | 0.309805 | + | 0.426411i | ||||
\(653\) | 8.00173 | + | 2.59992i | 0.313132 | + | 0.101743i | 0.461367 | − | 0.887209i | \(-0.347359\pi\) |
−0.148235 | + | 0.988952i | \(0.547359\pi\) | |||||||
\(654\) | −7.77173 | + | 23.9189i | −0.303899 | + | 0.935304i | ||||
\(655\) | −4.47611 | + | 4.73101i | −0.174896 | + | 0.184856i | ||||
\(656\) | −2.59127 | − | 7.97510i | −0.101172 | − | 0.311375i | ||||
\(657\) | − | 9.67682i | − | 0.377529i | ||||||
\(658\) | 8.54896 | − | 2.77772i | 0.333273 | − | 0.108287i | ||||
\(659\) | −16.3359 | − | 11.8687i | −0.636354 | − | 0.462339i | 0.222241 | − | 0.974992i | \(-0.428663\pi\) |
−0.858596 | + | 0.512653i | \(0.828663\pi\) | |||||||
\(660\) | −30.8970 | + | 16.8357i | −1.20266 | + | 0.655328i | ||||
\(661\) | −20.8028 | + | 15.1141i | −0.809135 | + | 0.587871i | −0.913580 | − | 0.406660i | \(-0.866693\pi\) |
0.104445 | + | 0.994531i | \(0.466693\pi\) | |||||||
\(662\) | −5.26528 | + | 7.24704i | −0.204641 | + | 0.281664i | ||||
\(663\) | −13.2062 | + | 18.1767i | −0.512885 | + | 0.705925i | ||||
\(664\) | 5.86151 | − | 4.25863i | 0.227471 | − | 0.165267i | ||||
\(665\) | −4.24439 | − | 4.01570i | −0.164590 | − | 0.155722i | ||||
\(666\) | −42.5398 | − | 30.9070i | −1.64838 | − | 1.19762i | ||||
\(667\) | 1.25099 | − | 0.406471i | 0.0484385 | − | 0.0157386i | ||||
\(668\) | 6.98459i | 0.270242i | ||||||||
\(669\) | 4.23722 | + | 13.0408i | 0.163820 | + | 0.504187i | ||||
\(670\) | 0.524837 | − | 4.03322i | 0.0202762 | − | 0.155817i | ||||
\(671\) | 7.56848 | − | 23.2934i | 0.292178 | − | 0.899231i | ||||
\(672\) | 7.91346 | + | 2.57124i | 0.305268 | + | 0.0991877i | ||||
\(673\) | −21.3995 | − | 29.4538i | −0.824888 | − | 1.13536i | −0.988853 | − | 0.148895i | \(-0.952428\pi\) |
0.163964 | − | 0.986466i | \(-0.447572\pi\) | |||||||
\(674\) | −3.78712 | −0.145875 | ||||||||
\(675\) | 65.8061 | − | 3.64652i | 2.53288 | − | 0.140355i | ||||
\(676\) | 33.9728 | 1.30664 | ||||||||
\(677\) | −23.8102 | − | 32.7719i | −0.915100 | − | 1.25953i | −0.965395 | − | 0.260793i | \(-0.916016\pi\) |
0.0502944 | − | 0.998734i | \(-0.483984\pi\) | |||||||
\(678\) | 1.24577 | + | 0.404776i | 0.0478436 | + | 0.0155453i | ||||
\(679\) | 7.45502 | − | 22.9442i | 0.286097 | − | 0.880517i | ||||
\(680\) | −2.07926 | − | 0.987934i | −0.0797360 | − | 0.0378856i | ||||
\(681\) | 26.2878 | + | 80.9055i | 1.00735 | + | 3.10030i | ||||
\(682\) | 7.24653i | 0.277484i | ||||||||
\(683\) | −36.2305 | + | 11.7720i | −1.38632 | + | 0.450443i | −0.904742 | − | 0.425959i | \(-0.859937\pi\) |
−0.481580 | + | 0.876402i | \(0.659937\pi\) | |||||||
\(684\) | 5.77601 | + | 4.19652i | 0.220851 | + | 0.160458i | ||||
\(685\) | 29.1308 | + | 3.79075i | 1.11303 | + | 0.144837i | ||||
\(686\) | 15.1615 | − | 11.0154i | 0.578867 | − | 0.420571i | ||||
\(687\) | −1.77941 | + | 2.44915i | −0.0678888 | + | 0.0934410i | ||||
\(688\) | 6.08765 | − | 8.37894i | 0.232090 | − | 0.319444i | ||||
\(689\) | 56.6979 | − | 41.1935i | 2.16002 | − | 1.56935i | ||||
\(690\) | 45.3206 | + | 5.89750i | 1.72532 | + | 0.224514i | ||||
\(691\) | −28.3519 | − | 20.5989i | −1.07856 | − | 0.783619i | −0.101128 | − | 0.994873i | \(-0.532245\pi\) |
−0.977431 | + | 0.211255i | \(0.932245\pi\) | |||||||
\(692\) | 6.82658 | − | 2.21809i | 0.259508 | − | 0.0843192i | ||||
\(693\) | 92.1932i | 3.50213i | ||||||||
\(694\) | 4.46624 | + | 13.7457i | 0.169536 | + | 0.521779i | ||||
\(695\) | 12.5603 | + | 5.96787i | 0.476439 | + | 0.226374i | ||||
\(696\) | 0.201647 | − | 0.620605i | 0.00764341 | − | 0.0235240i | ||||
\(697\) | 8.21035 | + | 2.66770i | 0.310989 | + | 0.101046i | ||||
\(698\) | 9.76963 | + | 13.4467i | 0.369786 | + | 0.508967i | ||||
\(699\) | 32.4220 | 1.22631 | ||||||||
\(700\) | −10.1290 | + | 8.25268i | −0.382840 | + | 0.311922i | ||||
\(701\) | 12.8187 | 0.484155 | 0.242078 | − | 0.970257i | \(-0.422171\pi\) | ||||
0.242078 | + | 0.970257i | \(0.422171\pi\) | |||||||
\(702\) | −53.1011 | − | 73.0874i | −2.00417 | − | 2.75851i | ||||
\(703\) | 7.00445 | + | 2.27588i | 0.264178 | + | 0.0858365i | ||||
\(704\) | −1.52707 | + | 4.69985i | −0.0575537 | + | 0.177132i | ||||
\(705\) | 3.16065 | − | 24.2887i | 0.119037 | − | 0.914764i | ||||
\(706\) | −4.59744 | − | 14.1495i | −0.173027 | − | 0.532522i | ||||
\(707\) | 17.9486i | 0.675027i | ||||||||
\(708\) | 33.4852 | − | 10.8800i | 1.25845 | − | 0.408896i | ||||
\(709\) | 1.94611 | + | 1.41393i | 0.0730875 | + | 0.0531012i | 0.623729 | − | 0.781641i | \(-0.285617\pi\) |
−0.550642 | + | 0.834742i | \(0.685617\pi\) | |||||||
\(710\) | −8.86660 | − | 8.38888i | −0.332758 | − | 0.314829i | ||||
\(711\) | −4.99204 | + | 3.62693i | −0.187216 | + | 0.136020i | ||||
\(712\) | 8.79515 | − | 12.1055i | 0.329612 | − | 0.453672i | ||||
\(713\) | 5.53247 | − | 7.61479i | 0.207192 | − | 0.285176i | ||||
\(714\) | −6.93016 | + | 5.03506i | −0.259355 | + | 0.188432i | ||||
\(715\) | −66.5013 | + | 36.2364i | −2.48701 | + | 1.35516i | ||||
\(716\) | −13.6346 | − | 9.90610i | −0.509548 | − | 0.370208i | ||||
\(717\) | −9.54346 | + | 3.10086i | −0.356407 | + | 0.115804i | ||||
\(718\) | − | 8.74155i | − | 0.326232i | ||||||
\(719\) | 6.71315 | + | 20.6609i | 0.250358 | + | 0.770523i | 0.994709 | + | 0.102734i | \(0.0327591\pi\) |
−0.744351 | + | 0.667789i | \(0.767241\pi\) | |||||||
\(720\) | 10.9719 | − | 11.5967i | 0.408898 | − | 0.432183i | ||||
\(721\) | 12.6213 | − | 38.8445i | 0.470043 | − | 1.44664i | ||||
\(722\) | −0.951057 | − | 0.309017i | −0.0353947 | − | 0.0115004i | ||||
\(723\) | 23.8385 | + | 32.8109i | 0.886564 | + | 1.22025i | ||||
\(724\) | −2.64666 | −0.0983625 | ||||||||
\(725\) | 0.647208 | + | 0.794357i | 0.0240367 | + | 0.0295017i | ||||
\(726\) | −42.7345 | −1.58603 | ||||||||
\(727\) | 10.9156 | + | 15.0240i | 0.404837 | + | 0.557210i | 0.961950 | − | 0.273227i | \(-0.0880910\pi\) |
−0.557113 | + | 0.830437i | \(0.688091\pi\) | |||||||
\(728\) | 17.0326 | + | 5.53422i | 0.631269 | + | 0.205112i | ||||
\(729\) | −6.43688 | + | 19.8107i | −0.238403 | + | 0.733729i | ||||
\(730\) | 2.97915 | − | 0.556771i | 0.110263 | − | 0.0206070i | ||||
\(731\) | 3.29488 | + | 10.1406i | 0.121865 | + | 0.375063i | ||||
\(732\) | 15.7819i | 0.583314i | ||||||||
\(733\) | 4.60705 | − | 1.49692i | 0.170165 | − | 0.0552900i | −0.222695 | − | 0.974888i | \(-0.571486\pi\) |
0.392861 | + | 0.919598i | \(0.371486\pi\) | |||||||
\(734\) | 6.02582 | + | 4.37801i | 0.222417 | + | 0.161595i | ||||
\(735\) | −0.224809 | − | 1.20290i | −0.00829222 | − | 0.0443697i | ||||
\(736\) | 5.19284 | − | 3.77282i | 0.191411 | − | 0.139068i | ||||
\(737\) | 5.28335 | − | 7.27191i | 0.194615 | − | 0.267864i | ||||
\(738\) | −35.1900 | + | 48.4348i | −1.29536 | + | 1.78291i | ||||
\(739\) | 3.89494 | − | 2.82984i | 0.143278 | − | 0.104097i | −0.513837 | − | 0.857888i | \(-0.671777\pi\) |
0.657115 | + | 0.753790i | \(0.271777\pi\) | |||||||
\(740\) | 7.06757 | − | 14.8748i | 0.259809 | − | 0.546808i | ||||
\(741\) | 17.6559 | + | 12.8278i | 0.648606 | + | 0.471240i | ||||
\(742\) | 25.4123 | − | 8.25695i | 0.932915 | − | 0.303122i | ||||
\(743\) | 16.9199i | 0.620732i | 0.950617 | + | 0.310366i | \(0.100452\pi\) | ||||
−0.950617 | + | 0.310366i | \(0.899548\pi\) | |||||||
\(744\) | −1.44293 | − | 4.44087i | −0.0529002 | − | 0.162810i | ||||
\(745\) | 9.72356 | + | 17.8447i | 0.356244 | + | 0.653781i | ||||
\(746\) | −2.19409 | + | 6.75270i | −0.0803312 | + | 0.247234i | ||||
\(747\) | −49.1959 | − | 15.9847i | −1.79998 | − | 0.584850i | ||||
\(748\) | −2.99035 | − | 4.11586i | −0.109338 | − | 0.150491i | ||||
\(749\) | −46.5134 | −1.69956 | ||||||||
\(750\) | 8.46645 | + | 34.5798i | 0.309151 | + | 1.26268i | ||||
\(751\) | 4.58647 | 0.167363 | 0.0836813 | − | 0.996493i | \(-0.473332\pi\) | ||||
0.0836813 | + | 0.996493i | \(0.473332\pi\) | |||||||
\(752\) | −2.02197 | − | 2.78300i | −0.0737336 | − | 0.101486i | ||||
\(753\) | 11.6697 | + | 3.79171i | 0.425267 | + | 0.138178i | ||||
\(754\) | 0.434016 | − | 1.33576i | 0.0158059 | − | 0.0486456i | ||||
\(755\) | 23.5547 | + | 43.2278i | 0.857244 | + | 1.57322i | ||||
\(756\) | −10.6438 | − | 32.7581i | −0.387110 | − | 1.19140i | ||||
\(757\) | − | 40.1226i | − | 1.45828i | −0.684364 | − | 0.729140i | \(-0.739920\pi\) | ||
0.684364 | − | 0.729140i | \(-0.260080\pi\) | |||||||
\(758\) | 26.3715 | − | 8.56862i | 0.957857 | − | 0.311226i | ||||
\(759\) | 81.7131 | + | 59.3680i | 2.96600 | + | 2.15492i | ||||
\(760\) | −0.959627 | + | 2.01968i | −0.0348093 | + | 0.0732616i | ||||
\(761\) | −7.93170 | + | 5.76272i | −0.287524 | + | 0.208898i | −0.722192 | − | 0.691692i | \(-0.756866\pi\) |
0.434669 | + | 0.900590i | \(0.356866\pi\) | |||||||
\(762\) | −11.2072 | + | 15.4253i | −0.405993 | + | 0.558801i | ||||
\(763\) | −12.1310 | + | 16.6969i | −0.439171 | + | 0.604467i | ||||
\(764\) | −16.5634 | + | 12.0340i | −0.599243 | + | 0.435376i | ||||
\(765\) | 3.01933 | + | 16.1557i | 0.109164 | + | 0.584111i | ||||
\(766\) | 24.7430 | + | 17.9769i | 0.894002 | + | 0.649531i | ||||
\(767\) | 72.0720 | − | 23.4176i | 2.60237 | − | 0.845561i | ||||
\(768\) | − | 3.18427i | − | 0.114902i | ||||||
\(769\) | 9.51453 | + | 29.2827i | 0.343103 | + | 1.05596i | 0.962592 | + | 0.270957i | \(0.0873400\pi\) |
−0.619489 | + | 0.785006i | \(0.712660\pi\) | |||||||
\(770\) | −28.3830 | + | 5.30448i | −1.02285 | + | 0.191160i | ||||
\(771\) | −26.4524 | + | 81.4121i | −0.952660 | + | 2.93199i | ||||
\(772\) | −4.71288 | − | 1.53131i | −0.169620 | − | 0.0551130i | ||||
\(773\) | −6.94380 | − | 9.55732i | −0.249751 | − | 0.343753i | 0.665673 | − | 0.746244i | \(-0.268145\pi\) |
−0.915424 | + | 0.402491i | \(0.868145\pi\) | |||||||
\(774\) | −73.9438 | −2.65785 | ||||||||
\(775\) | 7.08783 | + | 1.87643i | 0.254602 | + | 0.0674034i | ||||
\(776\) | −9.23242 | −0.331425 | ||||||||
\(777\) | −36.0202 | − | 49.5776i | −1.29222 | − | 1.77859i | ||||
\(778\) | −18.4867 | − | 6.00671i | −0.662782 | − | 0.215351i | ||||
\(779\) | 2.59127 | − | 7.97510i | 0.0928417 | − | 0.285737i | ||||
\(780\) | 33.5384 | − | 35.4484i | 1.20087 | − | 1.26925i | ||||
\(781\) | −8.33592 | − | 25.6553i | −0.298283 | − | 0.918019i | ||||
\(782\) | 6.60805i | 0.236303i | ||||||||
\(783\) | −2.56902 | + | 0.834726i | −0.0918094 | + | 0.0298307i | ||||
\(784\) | −0.139043 | − | 0.101020i | −0.00496581 | − | 0.00360787i | ||||
\(785\) | −8.20968 | + | 4.47343i | −0.293016 | + | 0.159664i | ||||
\(786\) | 7.50338 | − | 5.45153i | 0.267637 | − | 0.194450i | ||||
\(787\) | −31.6875 | + | 43.6140i | −1.12954 | + | 1.55467i | −0.340588 | + | 0.940213i | \(0.610626\pi\) |
−0.788948 | + | 0.614460i | \(0.789374\pi\) | |||||||
\(788\) | 2.45102 | − | 3.37354i | 0.0873141 | − | 0.120178i | ||||
\(789\) | −12.8077 | + | 9.30533i | −0.455966 | + | 0.331279i | ||||
\(790\) | −1.40383 | − | 1.32819i | −0.0499459 | − | 0.0472549i | ||||
\(791\) | 0.869624 | + | 0.631819i | 0.0309203 | + | 0.0224649i | ||||
\(792\) | 33.5548 | − | 10.9026i | 1.19232 | − | 0.387407i | ||||
\(793\) | 33.9682i | 1.20624i | ||||||||
\(794\) | 1.85041 | + | 5.69498i | 0.0656686 | + | 0.202107i | ||||
\(795\) | 9.39522 | − | 72.1995i | 0.333214 | − | 2.56065i | ||||
\(796\) | −4.36425 | + | 13.4318i | −0.154687 | + | 0.476077i | ||||
\(797\) | 5.50589 | + | 1.78897i | 0.195029 | + | 0.0633687i | 0.404903 | − | 0.914360i | \(-0.367305\pi\) |
−0.209874 | + | 0.977728i | \(0.567305\pi\) | |||||||
\(798\) | 4.89079 | + | 6.73159i | 0.173132 | + | 0.238296i | ||||
\(799\) | 3.54145 | 0.125288 | ||||||||
\(800\) | 4.20149 | + | 2.71062i | 0.148545 | + | 0.0958348i | ||||
\(801\) | −106.830 | −3.77467 | ||||||||
\(802\) | −4.98640 | − | 6.86319i | −0.176076 | − | 0.242348i | ||||
\(803\) | 6.37009 | + | 2.06977i | 0.224796 | + | 0.0730405i | ||||
\(804\) | −1.78980 | + | 5.50844i | −0.0631214 | + | 0.194268i | ||||
\(805\) | 33.8752 | + | 16.0954i | 1.19394 | + | 0.567287i | ||||
\(806\) | −3.10569 | − | 9.55833i | −0.109393 | − | 0.336678i | ||||
\(807\) | − | 69.8557i | − | 2.45904i | ||||||
\(808\) | 6.53260 | − | 2.12257i | 0.229816 | − | 0.0746718i | ||||
\(809\) | 1.66458 | + | 1.20939i | 0.0585236 | + | 0.0425199i | 0.616662 | − | 0.787228i | \(-0.288484\pi\) |
−0.558139 | + | 0.829748i | \(0.688484\pi\) | |||||||
\(810\) | −45.5769 | − | 5.93085i | −1.60141 | − | 0.208389i | ||||
\(811\) | 28.7211 | − | 20.8671i | 1.00853 | − | 0.732742i | 0.0446325 | − | 0.999003i | \(-0.485788\pi\) |
0.963901 | + | 0.266261i | \(0.0857883\pi\) | |||||||
\(812\) | 0.314753 | − | 0.433220i | 0.0110457 | − | 0.0152030i | ||||
\(813\) | 51.9989 | − | 71.5703i | 1.82368 | − | 2.51008i | ||||
\(814\) | 29.4444 | − | 21.3926i | 1.03203 | − | 0.749810i | ||||
\(815\) | 29.8423 | + | 3.88334i | 1.04533 | + | 0.136027i | ||||
\(816\) | 2.65212 | + | 1.92687i | 0.0928426 | + | 0.0674541i | ||||
\(817\) | 9.85003 | − | 3.20047i | 0.344609 | − | 0.111970i | ||||
\(818\) | − | 7.11303i | − | 0.248701i | ||||||
\(819\) | −39.5118 | − | 121.605i | −1.38065 | − | 4.24922i | ||||
\(820\) | −16.9361 | − | 8.04696i | −0.591433 | − | 0.281012i | ||||
\(821\) | −6.55842 | + | 20.1847i | −0.228890 | + | 0.704452i | 0.768983 | + | 0.639269i | \(0.220763\pi\) |
−0.997873 | + | 0.0651828i | \(0.979237\pi\) | |||||||
\(822\) | −39.7860 | − | 12.9272i | −1.38769 | − | 0.450889i | ||||
\(823\) | 13.7089 | + | 18.8686i | 0.477861 | + | 0.657719i | 0.978092 | − | 0.208173i | \(-0.0667517\pi\) |
−0.500231 | + | 0.865892i | \(0.666752\pi\) | |||||||
\(824\) | −15.6305 | −0.544513 | ||||||||
\(825\) | −20.1357 | + | 76.0584i | −0.701035 | + | 2.64801i | ||||
\(826\) | 28.8927 | 1.00531 | ||||||||
\(827\) | −5.59729 | − | 7.70401i | −0.194637 | − | 0.267895i | 0.700533 | − | 0.713620i | \(-0.252946\pi\) |
−0.895170 | + | 0.445725i | \(0.852946\pi\) | |||||||
\(828\) | −43.5837 | − | 14.1612i | −1.51464 | − | 0.492136i | ||||
\(829\) | −10.5117 | + | 32.3518i | −0.365088 | + | 1.12362i | 0.584838 | + | 0.811150i | \(0.301158\pi\) |
−0.949926 | + | 0.312475i | \(0.898842\pi\) | |||||||
\(830\) | 2.09056 | − | 16.0654i | 0.0725644 | − | 0.557637i | ||||
\(831\) | 8.00558 | + | 24.6386i | 0.277711 | + | 0.854705i | ||||
\(832\) | − | 6.85367i | − | 0.237608i | ||||||
\(833\) | 0.168276 | − | 0.0546763i | 0.00583042 | − | 0.00189442i | ||||
\(834\) | −16.0208 | − | 11.6398i | −0.554754 | − | 0.403052i | ||||
\(835\) | 11.3450 | + | 10.7338i | 0.392610 | + | 0.371457i | ||||
\(836\) | −3.99793 | + | 2.90467i | −0.138271 | + | 0.100460i | ||||
\(837\) | −11.3614 | + | 15.6377i | −0.392708 | + | 0.540517i | ||||
\(838\) | 2.76449 | − | 3.80499i | 0.0954977 | − | 0.131441i | ||||
\(839\) | −13.5974 | + | 9.87911i | −0.469435 | + | 0.341065i | −0.797221 | − | 0.603687i | \(-0.793698\pi\) |
0.327786 | + | 0.944752i | \(0.393698\pi\) | |||||||
\(840\) | 16.3377 | − | 8.90235i | 0.563703 | − | 0.307160i | ||||
\(841\) | 23.4275 | + | 17.0211i | 0.807845 | + | 0.586934i | ||||
\(842\) | 29.7550 | − | 9.66798i | 1.02542 | − | 0.333180i | ||||
\(843\) | − | 46.5119i | − | 1.60195i | ||||||
\(844\) | −3.31922 | − | 10.2155i | −0.114252 | − | 0.351632i | ||||
\(845\) | 52.2085 | − | 55.1816i | 1.79603 | − | 1.89831i | ||||
\(846\) | −7.58942 | + | 23.3578i | −0.260930 | + | 0.803059i | ||||
\(847\) | −33.3524 | − | 10.8368i | −1.14600 | − | 0.372358i | ||||
\(848\) | −6.01043 | − | 8.27264i | −0.206399 | − | 0.284084i | ||||
\(849\) | 5.81231 | 0.199478 | ||||||||
\(850\) | −4.80005 | + | 1.85909i | −0.164640 | + | 0.0637662i | ||||
\(851\) | −47.2732 | −1.62050 | ||||||||
\(852\) | 10.2170 | + | 14.0624i | 0.350027 | + | 0.481771i | ||||
\(853\) | 9.03505 | + | 2.93567i | 0.309354 | + | 0.100515i | 0.459580 | − | 0.888136i | \(-0.348000\pi\) |
−0.150226 | + | 0.988652i | \(0.548000\pi\) | |||||||
\(854\) | −4.00205 | + | 12.3170i | −0.136947 | + | 0.421480i | ||||
\(855\) | 15.6928 | − | 2.93282i | 0.536683 | − | 0.100300i | ||||
\(856\) | 5.50059 | + | 16.9291i | 0.188006 | + | 0.578624i | ||||
\(857\) | − | 48.0386i | − | 1.64097i | −0.571671 | − | 0.820483i | \(-0.693705\pi\) | ||
0.571671 | − | 0.820483i | \(-0.306295\pi\) | |||||||
\(858\) | 102.569 | − | 33.3267i | 3.50165 | − | 1.13775i | ||||
\(859\) | −30.2760 | − | 21.9968i | −1.03300 | − | 0.750520i | −0.0640949 | − | 0.997944i | \(-0.520416\pi\) |
−0.968907 | + | 0.247424i | \(0.920416\pi\) | |||||||
\(860\) | −4.25447 | − | 22.7647i | −0.145076 | − | 0.776269i | ||||
\(861\) | −56.4479 | + | 41.0118i | −1.92374 | + | 1.39768i | ||||
\(862\) | 10.1065 | − | 13.9104i | 0.344230 | − | 0.473792i | ||||
\(863\) | −5.86473 | + | 8.07211i | −0.199638 | + | 0.274778i | −0.897085 | − | 0.441859i | \(-0.854319\pi\) |
0.697447 | + | 0.716636i | \(0.254319\pi\) | |||||||
\(864\) | −10.6640 | + | 7.74784i | −0.362796 | + | 0.263587i | ||||
\(865\) | 6.88810 | − | 14.4971i | 0.234202 | − | 0.492915i | ||||
\(866\) | 21.5613 | + | 15.6652i | 0.732684 | + | 0.532326i | ||||
\(867\) | 48.2734 | − | 15.6850i | 1.63945 | − | 0.532689i | ||||
\(868\) | − | 3.83181i | − | 0.130060i | ||||||
\(869\) | −1.31980 | − | 4.06194i | −0.0447713 | − | 0.137792i | ||||
\(870\) | −0.698158 | − | 1.28126i | −0.0236698 | − | 0.0434389i | ||||
\(871\) | −3.85229 | + | 11.8561i | −0.130530 | + | 0.401729i | ||||
\(872\) | 7.51160 | + | 2.44067i | 0.254375 | + | 0.0826514i | ||||
\(873\) | 38.7440 | + | 53.3266i | 1.31129 | + | 1.80483i | ||||
\(874\) | 6.41871 | 0.217116 | ||||||||
\(875\) | −2.16124 | + | 29.1350i | −0.0730634 | + | 0.984941i | ||||
\(876\) | −4.31590 | −0.145821 | ||||||||
\(877\) | −4.53484 | − | 6.24168i | −0.153131 | − | 0.210766i | 0.725559 | − | 0.688160i | \(-0.241581\pi\) |
−0.878689 | + | 0.477394i | \(0.841581\pi\) | |||||||
\(878\) | 7.92526 | + | 2.57507i | 0.267465 | + | 0.0869045i | ||||
\(879\) | 16.1199 | − | 49.6119i | 0.543710 | − | 1.67337i | ||||
\(880\) | 5.28715 | + | 9.70302i | 0.178230 | + | 0.327089i | ||||
\(881\) | 3.45729 | + | 10.6404i | 0.116479 | + | 0.358486i | 0.992253 | − | 0.124236i | \(-0.0396481\pi\) |
−0.875774 | + | 0.482722i | \(0.839648\pi\) | |||||||
\(882\) | 1.22705i | 0.0413168i | ||||||||
\(883\) | −32.7100 | + | 10.6281i | −1.10078 | + | 0.357665i | −0.802402 | − | 0.596783i | \(-0.796445\pi\) |
−0.298377 | + | 0.954448i | \(0.596445\pi\) | |||||||
\(884\) | 5.70829 | + | 4.14732i | 0.191991 | + | 0.139489i | ||||
\(885\) | 33.7870 | − | 71.1098i | 1.13574 | − | 2.39033i | ||||
\(886\) | −12.8868 | + | 9.36281i | −0.432941 | + | 0.314550i | ||||
\(887\) | 18.7409 | − | 25.7946i | 0.629256 | − | 0.866097i | −0.368729 | − | 0.929537i | \(-0.620207\pi\) |
0.997986 | + | 0.0634399i | \(0.0202071\pi\) | |||||||
\(888\) | −13.7846 | + | 18.9729i | −0.462582 | + | 0.636690i | ||||
\(889\) | −12.6583 | + | 9.19682i | −0.424547 | + | 0.308451i | ||||
\(890\) | −6.14666 | − | 32.8893i | −0.206036 | − | 1.10245i | ||||
\(891\) | −82.1753 | − | 59.7038i | −2.75297 | − | 2.00015i | ||||
\(892\) | 4.09539 | − | 1.33067i | 0.137124 | − | 0.0445543i | ||||
\(893\) | − | 3.43998i | − | 0.115115i | ||||||
\(894\) | −8.94278 | − | 27.5230i | −0.299091 | − | 0.920508i | ||||
\(895\) | −37.0437 | + | 6.92306i | −1.23823 | + | 0.231413i | ||||
\(896\) | 0.807483 | − | 2.48518i | 0.0269761 | − | 0.0830239i | ||||
\(897\) | −133.225 | − | 43.2875i | −4.44826 | − | 1.44533i | ||||
\(898\) | 24.5216 | + | 33.7511i | 0.818298 | + | 1.12629i | ||||
\(899\) | −0.300506 | −0.0100224 | ||||||||
\(900\) | −1.97509 | − | 35.6430i | −0.0658364 | − | 1.18810i | ||||
\(901\) | 10.5272 | 0.350711 | ||||||||
\(902\) | −24.3571 | − | 33.5247i | −0.811003 | − | 1.11625i | ||||
\(903\) | −81.9592 | − | 26.6302i | −2.72743 | − | 0.886196i | ||||
\(904\) | 0.127117 | − | 0.391227i | 0.00422786 | − | 0.0130120i | ||||
\(905\) | −4.06733 | + | 4.29895i | −0.135203 | + | 0.142902i | ||||
\(906\) | −21.6633 | − | 66.6729i | −0.719716 | − | 2.21506i | ||||
\(907\) | 27.5721i | 0.915516i | 0.889077 | + | 0.457758i | \(0.151347\pi\) | ||||
−0.889077 | + | 0.457758i | \(0.848653\pi\) | |||||||
\(908\) | 25.4079 | − | 8.25552i | 0.843191 | − | 0.273969i | ||||
\(909\) | −39.6742 | − | 28.8250i | −1.31591 | − | 0.956064i | ||||
\(910\) | 35.1644 | − | 19.1610i | 1.16569 | − | 0.635181i | ||||
\(911\) | −21.3795 | + | 15.5331i | −0.708334 | + | 0.514635i | −0.882636 | − | 0.470058i | \(-0.844233\pi\) |
0.174302 | + | 0.984692i | \(0.444233\pi\) | |||||||
\(912\) | 1.87166 | − | 2.57612i | 0.0619770 | − | 0.0853040i | ||||
\(913\) | 21.0449 | − | 28.9659i | 0.696486 | − | 0.958631i | ||||
\(914\) | 7.45885 | − | 5.41917i | 0.246717 | − | 0.179250i | ||||
\(915\) | 25.6343 | + | 24.2532i | 0.847445 | + | 0.801785i | ||||
\(916\) | 0.769142 | + | 0.558814i | 0.0254132 | + | 0.0184637i | ||||
\(917\) | 7.23848 | − | 2.35193i | 0.239036 | − | 0.0776674i | ||||
\(918\) | − | 13.5702i | − | 0.447884i | ||||||
\(919\) | −6.21623 | − | 19.1316i | −0.205055 | − | 0.631093i | −0.999711 | − | 0.0240340i | \(-0.992349\pi\) |
0.794656 | − | 0.607059i | \(-0.207651\pi\) | |||||||
\(920\) | 1.85208 | − | 14.2327i | 0.0610611 | − | 0.469237i | ||||
\(921\) | −8.82030 | + | 27.1461i | −0.290639 | + | 0.894494i | ||||
\(922\) | 3.27338 | + | 1.06359i | 0.107803 | + | 0.0350273i | ||||
\(923\) | 21.9905 | + | 30.2673i | 0.723826 | + | 0.996262i | ||||
\(924\) | 41.1185 | 1.35270 | ||||||||
\(925\) | −13.2997 | − | 34.3390i | −0.437292 | − | 1.12906i | ||||
\(926\) | 15.6688 | 0.514908 | ||||||||
\(927\) | 65.5935 | + | 90.2817i | 2.15437 | + | 2.96524i | ||||
\(928\) | −0.194898 | − | 0.0633261i | −0.00639783 | − | 0.00207878i | ||||
\(929\) | −8.68209 | + | 26.7207i | −0.284850 | + | 0.876678i | 0.701594 | + | 0.712577i | \(0.252472\pi\) |
−0.986444 | + | 0.164101i | \(0.947528\pi\) | |||||||
\(930\) | −9.43072 | − | 4.48089i | −0.309245 | − | 0.146934i | ||||
\(931\) | −0.0531096 | − | 0.163455i | −0.00174060 | − | 0.00535701i | ||||
\(932\) | − | 10.1819i | − | 0.333521i | ||||||
\(933\) | −4.40273 | + | 1.43053i | −0.144139 | + | 0.0468336i | ||||
\(934\) | 3.41849 | + | 2.48368i | 0.111856 | + | 0.0812684i | ||||
\(935\) | −11.2808 | − | 1.46796i | −0.368923 | − | 0.0480074i | ||||
\(936\) | −39.5869 | + | 28.7615i | −1.29394 | + | 0.940101i | ||||
\(937\) | 13.4516 | − | 18.5145i | 0.439445 | − | 0.604844i | −0.530644 | − | 0.847595i | \(-0.678050\pi\) |
0.970089 | + | 0.242751i | \(0.0780498\pi\) | |||||||
\(938\) | −2.79372 | + | 3.84523i | −0.0912182 | + | 0.125551i | ||||
\(939\) | 76.5904 | − | 55.6461i | 2.49943 | − | 1.81594i | ||||
\(940\) | −7.62772 | − | 0.992583i | −0.248789 | − | 0.0323745i | ||||
\(941\) | 19.8737 | + | 14.4391i | 0.647864 | + | 0.470701i | 0.862543 | − | 0.505984i | \(-0.168871\pi\) |
−0.214679 | + | 0.976685i | \(0.568871\pi\) | |||||||
\(942\) | 12.6623 | − | 4.11423i | 0.412560 | − | 0.134049i | ||||
\(943\) | 53.8241i | 1.75276i | ||||||||
\(944\) | −3.41680 | − | 10.5158i | −0.111207 | − | 0.342261i | ||||
\(945\) | −69.5658 | − | 33.0533i | −2.26298 | − | 1.07522i | ||||
\(946\) | 15.8158 | − | 48.6760i | 0.514216 | − | 1.58259i | ||||
\(947\) | 1.53044 | + | 0.497269i | 0.0497325 | + | 0.0161591i | 0.333778 | − | 0.942652i | \(-0.391677\pi\) |
−0.284045 | + | 0.958811i | \(0.591677\pi\) | |||||||
\(948\) | 1.61762 | + | 2.22647i | 0.0525380 | + | 0.0723123i | ||||
\(949\) | −9.28934 | −0.301545 | ||||||||
\(950\) | 1.80582 | + | 4.66251i | 0.0585885 | + | 0.151272i | ||||
\(951\) | 68.9107 | 2.23458 | ||||||||
\(952\) | 1.58123 | + | 2.17638i | 0.0512480 | + | 0.0705368i | ||||
\(953\) | 29.0812 | + | 9.44907i | 0.942034 | + | 0.306085i | 0.739474 | − | 0.673185i | \(-0.235074\pi\) |
0.202559 | + | 0.979270i | \(0.435074\pi\) | |||||||
\(954\) | −22.5600 | + | 69.4326i | −0.730407 | + | 2.24796i | ||||
\(955\) | −5.90749 | + | 45.3974i | −0.191162 | + | 1.46902i | ||||
\(956\) | 0.973806 | + | 2.99707i | 0.0314951 | + | 0.0969321i | ||||
\(957\) | − | 3.22468i | − | 0.104239i | ||||||
\(958\) | −15.7157 | + | 5.10634i | −0.507751 | + | 0.164978i | ||||
\(959\) | −27.7730 | − | 20.1783i | −0.896837 | − | 0.651590i | ||||
\(960\) | −5.17217 | − | 4.89350i | −0.166931 | − | 0.157937i | ||||
\(961\) | 23.3399 | − | 16.9574i | 0.752899 | − | 0.547013i | ||||
\(962\) | −29.6694 | + | 40.8365i | −0.956581 | + | 1.31662i | ||||
\(963\) | 74.6992 | − | 102.815i | 2.40715 | − | 3.31316i | ||||
\(964\) | 10.3041 | − | 7.48635i | 0.331872 | − | 0.241119i | ||||
\(965\) | −9.72993 | + | 5.30181i | −0.313217 | + | 0.170671i | ||||
\(966\) | −43.2081 | − | 31.3925i | −1.39020 | − | 1.01004i | ||||
\(967\) | −54.5523 | + | 17.7251i | −1.75429 | + | 0.570002i | −0.996583 | − | 0.0825985i | \(-0.973678\pi\) |
−0.757702 | + | 0.652600i | \(0.773678\pi\) | |||||||
\(968\) | 13.4205i | 0.431352i | ||||||||
\(969\) | 1.01302 | + | 3.11775i | 0.0325428 | + | 0.100157i | ||||
\(970\) | −14.1882 | + | 14.9961i | −0.455554 | + | 0.481497i | ||||
\(971\) | 15.8040 | − | 48.6398i | 0.507175 | − | 1.56092i | −0.289908 | − | 0.957055i | \(-0.593625\pi\) |
0.797083 | − | 0.603870i | \(-0.206375\pi\) | |||||||
\(972\) | 24.6387 | + | 8.00559i | 0.790286 | + | 0.256779i | ||||
\(973\) | −9.55182 | − | 13.1470i | −0.306217 | − | 0.421472i | ||||
\(974\) | −16.5251 | −0.529499 | ||||||||
\(975\) | −6.03739 | − | 108.952i | −0.193351 | − | 3.48927i | ||||
\(976\) | 4.95620 | 0.158644 | ||||||||
\(977\) | −9.18611 | − | 12.6436i | −0.293890 | − | 0.404504i | 0.636383 | − | 0.771373i | \(-0.280430\pi\) |
−0.930273 | + | 0.366869i | \(0.880430\pi\) | |||||||
\(978\) | −40.7577 | − | 13.2430i | −1.30329 | − | 0.423464i | ||||
\(979\) | 22.8499 | − | 70.3248i | 0.730286 | − | 2.24759i | ||||
\(980\) | −0.377764 | + | 0.0706001i | −0.0120672 | + | 0.00225524i | ||||
\(981\) | −17.4252 | − | 53.6294i | −0.556345 | − | 1.71225i | ||||
\(982\) | 17.7546i | 0.566571i | ||||||||
\(983\) | −25.6625 | + | 8.33824i | −0.818505 | + | 0.265948i | −0.688196 | − | 0.725525i | \(-0.741597\pi\) |
−0.130309 | + | 0.991473i | \(0.541597\pi\) | |||||||
\(984\) | 21.6021 | + | 15.6949i | 0.688651 | + | 0.500334i | ||||
\(985\) | −1.71294 | − | 9.16555i | −0.0545789 | − | 0.292039i | ||||
\(986\) | 0.170680 | − | 0.124006i | 0.00543557 | − | 0.00394917i | ||||
\(987\) | −16.8242 | + | 23.1565i | −0.535521 | + | 0.737081i | ||||
\(988\) | 4.02848 | − | 5.54473i | 0.128163 | − | 0.176401i | ||||
\(989\) | −53.7819 | + | 39.0749i | −1.71017 | + | 1.24251i | ||||
\(990\) | 33.8571 | − | 71.2576i | 1.07605 | − | 2.26471i | ||||
\(991\) | 19.9955 | + | 14.5276i | 0.635179 | + | 0.461485i | 0.858191 | − | 0.513331i | \(-0.171589\pi\) |
−0.223012 | + | 0.974816i | \(0.571589\pi\) | |||||||
\(992\) | −1.39463 | + | 0.453143i | −0.0442795 | + | 0.0143873i | ||||
\(993\) | − | 28.5241i | − | 0.905185i | ||||||
\(994\) | 4.40785 | + | 13.5660i | 0.139809 | + | 0.430286i | ||||
\(995\) | 15.1103 | + | 27.7305i | 0.479027 | + | 0.879115i | ||||
\(996\) | −7.12924 | + | 21.9415i | −0.225899 | + | 0.695245i | ||||
\(997\) | 6.04515 | + | 1.96419i | 0.191452 | + | 0.0622065i | 0.403174 | − | 0.915124i | \(-0.367907\pi\) |
−0.211722 | + | 0.977330i | \(0.567907\pi\) | |||||||
\(998\) | −20.9505 | − | 28.8358i | −0.663175 | − | 0.912783i | ||||
\(999\) | 97.0799 | 3.07147 |
(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 | 950.2.n.b.39.13 | ✓ | 96 | |
25.9 | even | 10 | inner | 950.2.n.b.609.13 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.n.b.39.13 | ✓ | 96 | 1.1 | even | 1 | trivial | |
950.2.n.b.609.13 | yes | 96 | 25.9 | even | 10 | inner |