Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(2,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bs (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(1216\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.13 | ||
Character | \(\chi\) | \(=\) | 525.2 |
Dual form | 525.2.bs.a.263.13 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.49559 | − | 1.21111i | −1.05754 | − | 0.856381i | −0.0675804 | − | 0.997714i | \(-0.521528\pi\) |
−0.989962 | + | 0.141333i | \(0.954861\pi\) | |||||||
\(3\) | −0.875641 | − | 1.49441i | −0.505552 | − | 0.862796i | ||||
\(4\) | 0.354192 | + | 1.66634i | 0.177096 | + | 0.833171i | ||||
\(5\) | 2.19499 | − | 0.426619i | 0.981631 | − | 0.190790i | ||||
\(6\) | −0.500284 | + | 3.29552i | −0.204240 | + | 1.34539i | ||||
\(7\) | 0.855774 | + | 2.50353i | 0.323452 | + | 0.946245i | ||||
\(8\) | −0.258988 | + | 0.508293i | −0.0915662 | + | 0.179709i | ||||
\(9\) | −1.46651 | + | 2.61713i | −0.488835 | + | 0.872376i | ||||
\(10\) | −3.79949 | − | 2.02032i | −1.20151 | − | 0.638882i | ||||
\(11\) | 2.14822 | − | 4.82497i | 0.647712 | − | 1.45478i | −0.228834 | − | 0.973465i | \(-0.573491\pi\) |
0.876546 | − | 0.481319i | \(-0.159842\pi\) | |||||||
\(12\) | 2.18005 | − | 1.98842i | 0.629326 | − | 0.574009i | ||||
\(13\) | −0.0510180 | + | 0.00808046i | −0.0141499 | + | 0.00224112i | −0.163505 | − | 0.986542i | \(-0.552280\pi\) |
0.149356 | + | 0.988784i | \(0.452280\pi\) | |||||||
\(14\) | 1.75215 | − | 4.78069i | 0.468282 | − | 1.27769i | ||||
\(15\) | −2.55957 | − | 2.90665i | −0.660878 | − | 0.750493i | ||||
\(16\) | 4.11551 | − | 1.83234i | 1.02888 | − | 0.458086i | ||||
\(17\) | 0.0752343 | + | 1.43556i | 0.0182470 | + | 0.348173i | 0.992462 | + | 0.122552i | \(0.0391078\pi\) |
−0.974215 | + | 0.225621i | \(0.927559\pi\) | |||||||
\(18\) | 5.36291 | − | 2.13806i | 1.26405 | − | 0.503946i | ||||
\(19\) | 1.52712 | − | 7.18455i | 0.350346 | − | 1.64825i | −0.351697 | − | 0.936114i | \(-0.614395\pi\) |
0.702043 | − | 0.712135i | \(-0.252271\pi\) | |||||||
\(20\) | 1.48834 | + | 3.50651i | 0.332804 | + | 0.784078i | ||||
\(21\) | 2.99194 | − | 3.47107i | 0.652895 | − | 0.757449i | ||||
\(22\) | −9.05641 | + | 4.61447i | −1.93083 | + | 0.983808i | ||||
\(23\) | 0.549895 | − | 0.679064i | 0.114661 | − | 0.141595i | −0.716584 | − | 0.697501i | \(-0.754295\pi\) |
0.831245 | + | 0.555906i | \(0.187629\pi\) | |||||||
\(24\) | 0.986378 | − | 0.0580484i | 0.201343 | − | 0.0118491i | ||||
\(25\) | 4.63599 | − | 1.87285i | 0.927198 | − | 0.374570i | ||||
\(26\) | 0.0860884 | + | 0.0497032i | 0.0168833 | + | 0.00974759i | ||||
\(27\) | 5.19519 | − | 0.100108i | 0.999814 | − | 0.0192659i | ||||
\(28\) | −3.86863 | + | 2.31274i | −0.731102 | + | 0.437067i | ||||
\(29\) | −0.199687 | + | 0.614574i | −0.0370810 | + | 0.114124i | −0.967884 | − | 0.251399i | \(-0.919110\pi\) |
0.930803 | + | 0.365522i | \(0.119110\pi\) | |||||||
\(30\) | 0.307809 | + | 7.44707i | 0.0561980 | + | 1.35964i | ||||
\(31\) | 0.720670 | − | 0.800385i | 0.129436 | − | 0.143753i | −0.674943 | − | 0.737870i | \(-0.735832\pi\) |
0.804379 | + | 0.594117i | \(0.202498\pi\) | |||||||
\(32\) | −7.27222 | − | 1.94859i | −1.28556 | − | 0.344465i | ||||
\(33\) | −9.09154 | + | 1.01463i | −1.58263 | + | 0.176625i | ||||
\(34\) | 1.62609 | − | 2.23812i | 0.278872 | − | 0.383834i | ||||
\(35\) | 2.94647 | + | 5.13014i | 0.498044 | + | 0.867152i | ||||
\(36\) | −4.88046 | − | 1.51673i | −0.813409 | − | 0.252789i | ||||
\(37\) | −8.63342 | − | 3.31406i | −1.41933 | − | 0.544828i | −0.476815 | − | 0.879004i | \(-0.658209\pi\) |
−0.942511 | + | 0.334176i | \(0.891542\pi\) | |||||||
\(38\) | −10.9852 | + | 8.89564i | −1.78203 | + | 1.44306i | ||||
\(39\) | 0.0567490 | + | 0.0691661i | 0.00908711 | + | 0.0110754i | ||||
\(40\) | −0.351630 | + | 1.22619i | −0.0555976 | + | 0.193878i | ||||
\(41\) | 1.51576 | − | 2.08626i | 0.236721 | − | 0.325819i | −0.674084 | − | 0.738654i | \(-0.735462\pi\) |
0.910806 | + | 0.412836i | \(0.135462\pi\) | |||||||
\(42\) | −8.67855 | + | 1.56774i | −1.33913 | + | 0.241907i | ||||
\(43\) | 2.85016 | − | 2.85016i | 0.434645 | − | 0.434645i | −0.455560 | − | 0.890205i | \(-0.650561\pi\) |
0.890205 | + | 0.455560i | \(0.150561\pi\) | |||||||
\(44\) | 8.80094 | + | 1.87070i | 1.32679 | + | 0.282018i | ||||
\(45\) | −2.10245 | + | 6.37022i | −0.313415 | + | 0.949616i | ||||
\(46\) | −1.64484 | + | 0.349621i | −0.242518 | + | 0.0515488i | ||||
\(47\) | 2.72479 | + | 0.142800i | 0.397452 | + | 0.0208296i | 0.250015 | − | 0.968242i | \(-0.419564\pi\) |
0.147437 | + | 0.989071i | \(0.452898\pi\) | |||||||
\(48\) | −6.34198 | − | 4.54578i | −0.915386 | − | 0.656126i | ||||
\(49\) | −5.53530 | + | 4.28491i | −0.790758 | + | 0.612129i | ||||
\(50\) | −9.20177 | − | 2.81366i | −1.30133 | − | 0.397911i | ||||
\(51\) | 2.07943 | − | 1.36946i | 0.291178 | − | 0.191763i | ||||
\(52\) | −0.0315350 | − | 0.0821515i | −0.00437312 | − | 0.0113924i | ||||
\(53\) | −1.59332 | − | 1.03472i | −0.218860 | − | 0.142129i | 0.430553 | − | 0.902565i | \(-0.358319\pi\) |
−0.649413 | + | 0.760436i | \(0.724985\pi\) | |||||||
\(54\) | −7.89112 | − | 6.14220i | −1.07385 | − | 0.835848i | ||||
\(55\) | 2.65690 | − | 11.5073i | 0.358256 | − | 1.55164i | ||||
\(56\) | −1.49416 | − | 0.213401i | −0.199666 | − | 0.0285168i | ||||
\(57\) | −12.0739 | + | 4.00894i | −1.59922 | + | 0.530997i | ||||
\(58\) | 1.04296 | − | 0.677309i | 0.136948 | − | 0.0889351i | ||||
\(59\) | −1.01916 | + | 9.69664i | −0.132683 | + | 1.26239i | 0.702205 | + | 0.711975i | \(0.252199\pi\) |
−0.834888 | + | 0.550420i | \(0.814468\pi\) | |||||||
\(60\) | 3.93689 | − | 5.29463i | 0.508251 | − | 0.683534i | ||||
\(61\) | −1.40982 | − | 13.4136i | −0.180509 | − | 1.71743i | −0.591934 | − | 0.805986i | \(-0.701636\pi\) |
0.411425 | − | 0.911444i | \(-0.365031\pi\) | |||||||
\(62\) | −2.04718 | + | 0.324241i | −0.259992 | + | 0.0411787i | ||||
\(63\) | −7.80705 | − | 1.43177i | −0.983596 | − | 0.180386i | ||||
\(64\) | 3.22039 | + | 4.43249i | 0.402549 | + | 0.554061i | ||||
\(65\) | −0.108537 | + | 0.0395018i | −0.0134624 | + | 0.00489960i | ||||
\(66\) | 14.8261 | + | 9.49334i | 1.82496 | + | 1.16855i | ||||
\(67\) | 8.45454 | − | 0.443084i | 1.03289 | − | 0.0541313i | 0.471649 | − | 0.881786i | \(-0.343659\pi\) |
0.561237 | + | 0.827655i | \(0.310326\pi\) | |||||||
\(68\) | −2.36548 | + | 0.633828i | −0.286856 | + | 0.0768630i | ||||
\(69\) | −1.49631 | − | 0.227151i | −0.180134 | − | 0.0273458i | ||||
\(70\) | 1.80642 | − | 11.2411i | 0.215909 | − | 1.34357i | ||||
\(71\) | 4.32276 | + | 1.40455i | 0.513017 | + | 0.166689i | 0.554074 | − | 0.832467i | \(-0.313072\pi\) |
−0.0410568 | + | 0.999157i | \(0.513072\pi\) | |||||||
\(72\) | −0.950461 | − | 1.42322i | −0.112013 | − | 0.167728i | ||||
\(73\) | 4.29934 | − | 1.65036i | 0.503200 | − | 0.193160i | −0.0935085 | − | 0.995618i | \(-0.529808\pi\) |
0.596708 | + | 0.802458i | \(0.296475\pi\) | |||||||
\(74\) | 8.89839 | + | 15.4125i | 1.03442 | + | 1.79166i | ||||
\(75\) | −6.85827 | − | 5.28811i | −0.791925 | − | 0.610619i | ||||
\(76\) | 12.5128 | 1.43532 | ||||||||
\(77\) | 13.9178 | + | 1.24904i | 1.58609 | + | 0.142341i | ||||
\(78\) | −0.00110577 | − | 0.172173i | −0.000125204 | − | 0.0194948i | ||||
\(79\) | −10.6908 | + | 9.62608i | −1.20281 | + | 1.08302i | −0.208337 | + | 0.978057i | \(0.566805\pi\) |
−0.994476 | + | 0.104961i | \(0.966528\pi\) | |||||||
\(80\) | 8.25181 | − | 5.77774i | 0.922581 | − | 0.645971i | ||||
\(81\) | −4.69872 | − | 7.67607i | −0.522080 | − | 0.852896i | ||||
\(82\) | −4.79363 | + | 1.28445i | −0.529368 | + | 0.141844i | ||||
\(83\) | −1.39906 | + | 2.74580i | −0.153566 | + | 0.301391i | −0.954954 | − | 0.296755i | \(-0.904096\pi\) |
0.801387 | + | 0.598146i | \(0.204096\pi\) | |||||||
\(84\) | 6.84370 | + | 3.75617i | 0.746709 | + | 0.409832i | ||||
\(85\) | 0.777574 | + | 3.11894i | 0.0843397 | + | 0.338296i | ||||
\(86\) | −7.71451 | + | 0.810828i | −0.831877 | + | 0.0874338i | ||||
\(87\) | 1.09328 | − | 0.239732i | 0.117212 | − | 0.0257020i | ||||
\(88\) | 1.89614 | + | 2.34154i | 0.202129 | + | 0.249608i | ||||
\(89\) | 0.777242 | + | 7.39496i | 0.0823875 | + | 0.783865i | 0.955230 | + | 0.295863i | \(0.0956072\pi\) |
−0.872843 | + | 0.488001i | \(0.837726\pi\) | |||||||
\(90\) | 10.8594 | − | 6.98095i | 1.14468 | − | 0.735857i | ||||
\(91\) | −0.0638895 | − | 0.120810i | −0.00669744 | − | 0.0126643i | ||||
\(92\) | 1.32632 | + | 0.675795i | 0.138279 | + | 0.0704565i | ||||
\(93\) | −1.82715 | − | 0.376124i | −0.189466 | − | 0.0390023i | ||||
\(94\) | −3.90223 | − | 3.51358i | −0.402484 | − | 0.362399i | ||||
\(95\) | 0.286959 | − | 16.4215i | 0.0294414 | − | 1.68481i | ||||
\(96\) | 3.45588 | + | 12.5739i | 0.352714 | + | 1.28332i | ||||
\(97\) | −16.4999 | + | 8.40712i | −1.67531 | + | 0.853614i | −0.682919 | + | 0.730494i | \(0.739290\pi\) |
−0.992392 | + | 0.123120i | \(0.960710\pi\) | |||||||
\(98\) | 13.4680 | + | 0.295371i | 1.36048 | + | 0.0298370i | ||||
\(99\) | 9.47720 | + | 12.6980i | 0.952495 | + | 1.27620i | ||||
\(100\) | 4.76284 | + | 7.06180i | 0.476284 | + | 0.706180i | ||||
\(101\) | 5.80163 | − | 3.34957i | 0.577284 | − | 0.333295i | −0.182769 | − | 0.983156i | \(-0.558506\pi\) |
0.760053 | + | 0.649861i | \(0.225173\pi\) | |||||||
\(102\) | −4.76853 | − | 0.470250i | −0.472155 | − | 0.0465617i | ||||
\(103\) | 9.08312 | + | 0.476026i | 0.894987 | + | 0.0469043i | 0.494281 | − | 0.869302i | \(-0.335432\pi\) |
0.400706 | + | 0.916207i | \(0.368765\pi\) | |||||||
\(104\) | 0.00910583 | − | 0.0280249i | 0.000892900 | − | 0.00274806i | ||||
\(105\) | 5.08646 | − | 8.89539i | 0.496388 | − | 0.868101i | ||||
\(106\) | 1.12981 | + | 3.47719i | 0.109737 | + | 0.337735i | ||||
\(107\) | −4.30244 | − | 16.0569i | −0.415932 | − | 1.55228i | −0.782961 | − | 0.622071i | \(-0.786292\pi\) |
0.367029 | − | 0.930209i | \(-0.380375\pi\) | |||||||
\(108\) | 2.00691 | + | 8.62150i | 0.193115 | + | 0.829605i | ||||
\(109\) | 14.8677 | + | 1.56266i | 1.42407 | + | 0.149675i | 0.785009 | − | 0.619484i | \(-0.212658\pi\) |
0.639057 | + | 0.769160i | \(0.279325\pi\) | |||||||
\(110\) | −17.9101 | + | 13.9924i | −1.70766 | + | 1.33412i | ||||
\(111\) | 2.60722 | + | 15.8038i | 0.247467 | + | 1.50003i | ||||
\(112\) | 8.10927 | + | 8.73523i | 0.766254 | + | 0.825402i | ||||
\(113\) | −1.18084 | − | 7.45553i | −0.111084 | − | 0.701357i | −0.978880 | − | 0.204436i | \(-0.934464\pi\) |
0.867796 | − | 0.496921i | \(-0.165536\pi\) | |||||||
\(114\) | 22.9128 | + | 8.62697i | 2.14598 | + | 0.807990i | ||||
\(115\) | 0.917315 | − | 1.72514i | 0.0855400 | − | 0.160870i | ||||
\(116\) | −1.09482 | − | 0.115070i | −0.101651 | − | 0.0106840i | ||||
\(117\) | 0.0536706 | − | 0.145371i | 0.00496185 | − | 0.0134395i | ||||
\(118\) | 13.2679 | − | 13.2679i | 1.22141 | − | 1.22141i | ||||
\(119\) | −3.52957 | + | 1.41686i | −0.323555 | + | 0.129883i | ||||
\(120\) | 2.14033 | − | 0.548223i | 0.195384 | − | 0.0500457i | ||||
\(121\) | −11.3051 | − | 12.5556i | −1.02774 | − | 1.14142i | ||||
\(122\) | −14.1367 | + | 21.7686i | −1.27988 | + | 1.97084i | ||||
\(123\) | −4.44498 | − | 0.438342i | −0.400790 | − | 0.0395240i | ||||
\(124\) | 1.58897 | + | 0.917392i | 0.142694 | + | 0.0823843i | ||||
\(125\) | 9.37698 | − | 6.08870i | 0.838702 | − | 0.544590i | ||||
\(126\) | 9.94213 | + | 11.5965i | 0.885715 | + | 1.03310i | ||||
\(127\) | 0.928741 | + | 0.147098i | 0.0824124 | + | 0.0130528i | 0.197504 | − | 0.980302i | \(-0.436716\pi\) |
−0.115092 | + | 0.993355i | \(0.536716\pi\) | |||||||
\(128\) | −0.236226 | + | 4.50745i | −0.0208796 | + | 0.398406i | ||||
\(129\) | −6.75501 | − | 1.76358i | −0.594746 | − | 0.155275i | ||||
\(130\) | 0.210168 | + | 0.0723712i | 0.0184329 | + | 0.00634737i | ||||
\(131\) | 2.56238 | − | 12.0551i | 0.223876 | − | 1.05326i | −0.712341 | − | 0.701834i | \(-0.752365\pi\) |
0.936217 | − | 0.351422i | \(-0.114302\pi\) | |||||||
\(132\) | −4.91088 | − | 14.7902i | −0.427437 | − | 1.28733i | ||||
\(133\) | 19.2936 | − | 2.32515i | 1.67297 | − | 0.201616i | ||||
\(134\) | −13.1812 | − | 9.57667i | −1.13868 | − | 0.827298i | ||||
\(135\) | 11.3607 | − | 2.43610i | 0.977773 | − | 0.209666i | ||||
\(136\) | −0.749168 | − | 0.333551i | −0.0642406 | − | 0.0286018i | ||||
\(137\) | −0.491444 | − | 0.606883i | −0.0419869 | − | 0.0518495i | 0.755720 | − | 0.654895i | \(-0.227287\pi\) |
−0.797707 | + | 0.603045i | \(0.793954\pi\) | |||||||
\(138\) | 1.96276 | + | 2.15191i | 0.167081 | + | 0.183183i | ||||
\(139\) | 6.52341 | + | 8.97870i | 0.553308 | + | 0.761563i | 0.990456 | − | 0.137826i | \(-0.0440115\pi\) |
−0.437148 | + | 0.899389i | \(0.644012\pi\) | |||||||
\(140\) | −7.50495 | + | 6.72688i | −0.634284 | + | 0.568525i | ||||
\(141\) | −2.17254 | − | 4.19699i | −0.182961 | − | 0.353451i | ||||
\(142\) | −4.76402 | − | 7.33595i | −0.399788 | − | 0.615619i | ||||
\(143\) | −0.0706098 | + | 0.263519i | −0.00590469 | + | 0.0220366i | ||||
\(144\) | −1.23994 | + | 13.4580i | −0.103329 | + | 1.12150i | ||||
\(145\) | −0.176123 | + | 1.43418i | −0.0146262 | + | 0.119102i | ||||
\(146\) | −8.42882 | − | 2.73869i | −0.697574 | − | 0.226656i | ||||
\(147\) | 11.2503 | + | 4.51996i | 0.927912 | + | 0.372800i | ||||
\(148\) | 2.46447 | − | 15.5600i | 0.202578 | − | 1.27903i | ||||
\(149\) | 8.08055 | − | 13.9959i | 0.661984 | − | 1.14659i | −0.318109 | − | 0.948054i | \(-0.603048\pi\) |
0.980094 | − | 0.198536i | \(-0.0636188\pi\) | |||||||
\(150\) | 3.85270 | + | 16.2149i | 0.314572 | + | 1.32394i | ||||
\(151\) | 2.66145 | + | 4.60977i | 0.216586 | + | 0.375138i | 0.953762 | − | 0.300563i | \(-0.0971746\pi\) |
−0.737176 | + | 0.675701i | \(0.763841\pi\) | |||||||
\(152\) | 3.25635 | + | 2.63694i | 0.264125 | + | 0.213884i | ||||
\(153\) | −3.86736 | − | 1.90835i | −0.312658 | − | 0.154281i | ||||
\(154\) | −19.3027 | − | 18.7240i | −1.55545 | − | 1.50882i | ||||
\(155\) | 1.24041 | − | 2.06429i | 0.0996318 | − | 0.165808i | ||||
\(156\) | −0.0951544 | + | 0.119061i | −0.00761845 | + | 0.00953253i | ||||
\(157\) | 0.834291 | − | 3.11362i | 0.0665836 | − | 0.248494i | −0.924610 | − | 0.380916i | \(-0.875609\pi\) |
0.991193 | + | 0.132422i | \(0.0422755\pi\) | |||||||
\(158\) | 27.6473 | − | 1.44893i | 2.19950 | − | 0.115271i | ||||
\(159\) | −0.151108 | + | 3.28711i | −0.0119836 | + | 0.260685i | ||||
\(160\) | −16.7938 | − | 1.17466i | −1.32767 | − | 0.0928654i | ||||
\(161\) | 2.17064 | + | 0.795553i | 0.171070 | + | 0.0626983i | ||||
\(162\) | −2.26916 | + | 17.1709i | −0.178282 | + | 1.34907i | ||||
\(163\) | 5.11460 | − | 13.3240i | 0.400607 | − | 1.04362i | −0.573834 | − | 0.818971i | \(-0.694545\pi\) |
0.974441 | − | 0.224644i | \(-0.0721220\pi\) | |||||||
\(164\) | 4.01329 | + | 1.78683i | 0.313385 | + | 0.139528i | ||||
\(165\) | −19.5230 | + | 6.10574i | −1.51986 | + | 0.475331i | ||||
\(166\) | 5.41787 | − | 2.41219i | 0.420508 | − | 0.187222i | ||||
\(167\) | 8.00651 | + | 4.07952i | 0.619562 | + | 0.315683i | 0.735449 | − | 0.677580i | \(-0.236971\pi\) |
−0.115887 | + | 0.993262i | \(0.536971\pi\) | |||||||
\(168\) | 0.989441 | + | 2.41975i | 0.0763371 | + | 0.186688i | ||||
\(169\) | −12.3612 | + | 4.01640i | −0.950861 | + | 0.308954i | ||||
\(170\) | 2.61443 | − | 5.60638i | 0.200518 | − | 0.429990i | ||||
\(171\) | 16.5634 | + | 14.5329i | 1.26663 | + | 1.11136i | ||||
\(172\) | 5.75884 | + | 3.73984i | 0.439108 | + | 0.285160i | ||||
\(173\) | −14.6799 | + | 18.1281i | −1.11609 | + | 1.37826i | −0.198798 | + | 0.980040i | \(0.563704\pi\) |
−0.917292 | + | 0.398216i | \(0.869629\pi\) | |||||||
\(174\) | −1.92544 | − | 0.965534i | −0.145967 | − | 0.0731970i | ||||
\(175\) | 8.65610 | + | 10.0036i | 0.654339 | + | 0.756201i | ||||
\(176\) | − | 23.7935i | − | 1.79350i | ||||||
\(177\) | 15.3831 | − | 6.96774i | 1.15627 | − | 0.523727i | ||||
\(178\) | 7.79365 | − | 12.0012i | 0.584159 | − | 0.899525i | ||||
\(179\) | −1.86781 | + | 0.397016i | −0.139607 | + | 0.0296743i | −0.277185 | − | 0.960817i | \(-0.589401\pi\) |
0.137578 | + | 0.990491i | \(0.456068\pi\) | |||||||
\(180\) | −11.3596 | − | 1.24713i | −0.846697 | − | 0.0929553i | ||||
\(181\) | 2.90560 | + | 8.94252i | 0.215972 | + | 0.664692i | 0.999083 | + | 0.0428109i | \(0.0136313\pi\) |
−0.783112 | + | 0.621881i | \(0.786369\pi\) | |||||||
\(182\) | −0.0507611 | + | 0.258059i | −0.00376266 | + | 0.0191286i | ||||
\(183\) | −18.8108 | + | 13.8523i | −1.39054 | + | 1.02399i | ||||
\(184\) | 0.202747 | + | 0.455377i | 0.0149467 | + | 0.0335709i | ||||
\(185\) | −20.3641 | − | 3.59116i | −1.49720 | − | 0.264027i | ||||
\(186\) | 2.27714 | + | 2.77540i | 0.166968 | + | 0.203502i | ||||
\(187\) | 7.08814 | + | 2.72088i | 0.518336 | + | 0.198970i | ||||
\(188\) | 0.727146 | + | 4.59102i | 0.0530326 | + | 0.334834i | ||||
\(189\) | 4.69653 | + | 12.9206i | 0.341622 | + | 0.939837i | ||||
\(190\) | −20.3174 | + | 24.2124i | −1.47398 | + | 1.75655i | ||||
\(191\) | 4.64066 | + | 10.4231i | 0.335786 | + | 0.754189i | 0.999978 | + | 0.00662631i | \(0.00210924\pi\) |
−0.664192 | + | 0.747562i | \(0.731224\pi\) | |||||||
\(192\) | 3.80404 | − | 8.69385i | 0.274533 | − | 0.627425i | ||||
\(193\) | −13.8342 | − | 3.70685i | −0.995804 | − | 0.266825i | −0.276118 | − | 0.961124i | \(-0.589048\pi\) |
−0.719687 | + | 0.694299i | \(0.755715\pi\) | |||||||
\(194\) | 34.8590 | + | 7.40951i | 2.50273 | + | 0.531972i | ||||
\(195\) | 0.154071 | + | 0.127609i | 0.0110333 | + | 0.00913827i | ||||
\(196\) | −9.10068 | − | 7.70603i | −0.650049 | − | 0.550431i | ||||
\(197\) | −3.66291 | − | 7.18886i | −0.260971 | − | 0.512185i | 0.722925 | − | 0.690927i | \(-0.242797\pi\) |
−0.983896 | + | 0.178742i | \(0.942797\pi\) | |||||||
\(198\) | 1.20461 | − | 30.4689i | 0.0856080 | − | 2.16533i | ||||
\(199\) | −11.4651 | + | 6.61936i | −0.812738 | + | 0.469234i | −0.847906 | − | 0.530147i | \(-0.822137\pi\) |
0.0351680 | + | 0.999381i | \(0.488803\pi\) | |||||||
\(200\) | −0.248710 | + | 2.84149i | −0.0175864 | + | 0.200924i | ||||
\(201\) | −8.06529 | − | 12.2465i | −0.568882 | − | 0.863804i | ||||
\(202\) | −12.7336 | − | 2.01680i | −0.895929 | − | 0.141901i | ||||
\(203\) | −1.70949 | + | 0.0260137i | −0.119983 | + | 0.00182581i | ||||
\(204\) | 3.01851 | + | 2.97998i | 0.211338 | + | 0.208641i | ||||
\(205\) | 2.43704 | − | 5.22597i | 0.170210 | − | 0.364998i | ||||
\(206\) | −13.0081 | − | 11.7126i | −0.906319 | − | 0.816053i | ||||
\(207\) | 0.970773 | + | 2.43500i | 0.0674734 | + | 0.169244i | ||||
\(208\) | −0.195159 | + | 0.126738i | −0.0135319 | + | 0.00878769i | ||||
\(209\) | −31.3847 | − | 22.8023i | −2.17092 | − | 1.57727i | ||||
\(210\) | −18.3805 | + | 7.14361i | −1.26838 | + | 0.492956i | ||||
\(211\) | 5.55824 | − | 4.03830i | 0.382645 | − | 0.278008i | −0.379790 | − | 0.925073i | \(-0.624004\pi\) |
0.762435 | + | 0.647065i | \(0.224004\pi\) | |||||||
\(212\) | 1.15985 | − | 3.02151i | 0.0796587 | − | 0.207518i | ||||
\(213\) | −1.68622 | − | 7.68985i | −0.115538 | − | 0.526900i | ||||
\(214\) | −13.0119 | + | 29.2253i | −0.889477 | + | 1.99780i | ||||
\(215\) | 5.04015 | − | 7.47201i | 0.343735 | − | 0.509587i | ||||
\(216\) | −1.29461 | + | 2.66661i | −0.0880869 | + | 0.181439i | ||||
\(217\) | 2.62052 | + | 1.11927i | 0.177892 | + | 0.0759809i | ||||
\(218\) | −20.3434 | − | 20.3434i | −1.37783 | − | 1.37783i | ||||
\(219\) | −6.23099 | − | 4.97984i | −0.421052 | − | 0.336507i | ||||
\(220\) | 20.1161 | + | 0.351520i | 1.35623 | + | 0.0236994i | ||||
\(221\) | −0.0154383 | − | 0.0726313i | −0.00103849 | − | 0.00488571i | ||||
\(222\) | 15.2407 | − | 26.7936i | 1.02289 | − | 1.79827i | ||||
\(223\) | −0.957046 | + | 6.04255i | −0.0640885 | + | 0.404639i | 0.934700 | + | 0.355437i | \(0.115668\pi\) |
−0.998789 | + | 0.0492022i | \(0.984332\pi\) | |||||||
\(224\) | −1.34504 | − | 19.8738i | −0.0898690 | − | 1.32787i | ||||
\(225\) | −1.89721 | + | 14.8795i | −0.126481 | + | 0.991969i | ||||
\(226\) | −7.26338 | + | 12.5805i | −0.483153 | + | 0.836845i | ||||
\(227\) | 4.84434 | − | 1.85957i | 0.321530 | − | 0.123424i | −0.192249 | − | 0.981346i | \(-0.561578\pi\) |
0.513780 | + | 0.857922i | \(0.328245\pi\) | |||||||
\(228\) | −10.9567 | − | 18.6992i | −0.725627 | − | 1.23839i | ||||
\(229\) | −15.2096 | + | 13.6948i | −1.00508 | + | 0.904979i | −0.995480 | − | 0.0949745i | \(-0.969723\pi\) |
−0.00960176 | + | 0.999954i | \(0.503056\pi\) | |||||||
\(230\) | −3.46125 | + | 1.46913i | −0.228228 | + | 0.0968718i | ||||
\(231\) | −10.3205 | − | 21.8926i | −0.679037 | − | 1.44043i | ||||
\(232\) | −0.260667 | − | 0.260667i | −0.0171136 | − | 0.0171136i | ||||
\(233\) | 4.29076 | + | 6.60719i | 0.281097 | + | 0.432851i | 0.950813 | − | 0.309766i | \(-0.100251\pi\) |
−0.669716 | + | 0.742617i | \(0.733584\pi\) | |||||||
\(234\) | −0.256329 | + | 0.152414i | −0.0167567 | + | 0.00996364i | ||||
\(235\) | 6.04183 | − | 0.849003i | 0.394125 | − | 0.0553829i | ||||
\(236\) | −16.5189 | + | 1.73621i | −1.07529 | + | 0.113017i | ||||
\(237\) | 23.7466 | + | 7.54748i | 1.54251 | + | 0.490262i | ||||
\(238\) | 6.99476 | + | 2.15564i | 0.453403 | + | 0.139729i | ||||
\(239\) | 16.9027 | − | 12.2805i | 1.09334 | − | 0.794360i | 0.113382 | − | 0.993551i | \(-0.463832\pi\) |
0.979961 | + | 0.199191i | \(0.0638316\pi\) | |||||||
\(240\) | −15.8599 | − | 7.27234i | −1.02375 | − | 0.469427i | ||||
\(241\) | −2.81773 | + | 26.8089i | −0.181506 | + | 1.72691i | 0.402720 | + | 0.915323i | \(0.368065\pi\) |
−0.584226 | + | 0.811591i | \(0.698602\pi\) | |||||||
\(242\) | 1.70166 | + | 32.4697i | 0.109387 | + | 2.08723i | ||||
\(243\) | −7.35678 | + | 13.7433i | −0.471937 | + | 0.881632i | ||||
\(244\) | 21.8522 | − | 7.10022i | 1.39895 | − | 0.454545i | ||||
\(245\) | −10.3219 | + | 11.7668i | −0.659444 | + | 0.751754i | ||||
\(246\) | 6.11699 | + | 6.03892i | 0.390005 | + | 0.385027i | ||||
\(247\) | −0.0198563 | + | 0.378881i | −0.00126343 | + | 0.0241076i | ||||
\(248\) | 0.220185 | + | 0.573602i | 0.0139818 | + | 0.0364237i | ||||
\(249\) | 5.32841 | − | 0.313577i | 0.337674 | − | 0.0198722i | ||||
\(250\) | −21.3982 | − | 2.25030i | −1.35334 | − | 0.142322i | ||||
\(251\) | 22.4974i | 1.42003i | 0.704189 | + | 0.710013i | \(0.251311\pi\) | ||||
−0.704189 | + | 0.710013i | \(0.748689\pi\) | |||||||
\(252\) | −0.379378 | − | 13.5163i | −0.0238986 | − | 0.851449i | ||||
\(253\) | −2.09517 | − | 4.11201i | −0.131722 | − | 0.258520i | ||||
\(254\) | −1.21087 | − | 1.34480i | −0.0759764 | − | 0.0843804i | ||||
\(255\) | 3.98009 | − | 3.89308i | 0.249243 | − | 0.243794i | ||||
\(256\) | 13.1444 | − | 14.5984i | 0.821528 | − | 0.912399i | ||||
\(257\) | 6.68997 | + | 24.9673i | 0.417309 | + | 1.55742i | 0.780166 | + | 0.625573i | \(0.215135\pi\) |
−0.362857 | + | 0.931845i | \(0.618199\pi\) | |||||||
\(258\) | 7.96685 | + | 10.8186i | 0.495995 | + | 0.673538i | ||||
\(259\) | 0.908588 | − | 24.4501i | 0.0564569 | − | 1.51925i | ||||
\(260\) | −0.104266 | − | 0.166868i | −0.00646633 | − | 0.0103487i | ||||
\(261\) | −1.31558 | − | 1.42388i | −0.0814322 | − | 0.0881362i | ||||
\(262\) | −18.4322 | + | 14.9261i | −1.13875 | + | 0.922139i | ||||
\(263\) | 18.7511 | − | 15.1843i | 1.15624 | − | 0.936305i | 0.157553 | − | 0.987511i | \(-0.449640\pi\) |
0.998688 | + | 0.0512051i | \(0.0163062\pi\) | |||||||
\(264\) | 1.83887 | − | 4.88395i | 0.113175 | − | 0.300586i | ||||
\(265\) | −3.93876 | − | 1.59145i | −0.241956 | − | 0.0977621i | ||||
\(266\) | −31.6713 | − | 19.8891i | −1.94189 | − | 1.21948i | ||||
\(267\) | 10.3705 | − | 7.63685i | 0.634664 | − | 0.467368i | ||||
\(268\) | 3.73286 | + | 13.9312i | 0.228021 | + | 0.850985i | ||||
\(269\) | 6.46623 | − | 7.18148i | 0.394253 | − | 0.437862i | −0.513038 | − | 0.858366i | \(-0.671480\pi\) |
0.907291 | + | 0.420504i | \(0.138147\pi\) | |||||||
\(270\) | −19.9413 | − | 10.1156i | −1.21359 | − | 0.615615i | ||||
\(271\) | −5.30298 | − | 5.88956i | −0.322133 | − | 0.357765i | 0.560228 | − | 0.828339i | \(-0.310714\pi\) |
−0.882361 | + | 0.470574i | \(0.844047\pi\) | |||||||
\(272\) | 2.94006 | + | 5.77019i | 0.178267 | + | 0.349869i | ||||
\(273\) | −0.124595 | + | 0.201263i | −0.00754084 | + | 0.0121810i | ||||
\(274\) | 1.50284i | 0.0907899i | ||||||||
\(275\) | 0.922653 | − | 26.3918i | 0.0556381 | − | 1.59149i | ||||
\(276\) | −0.151469 | − | 2.57382i | −0.00911738 | − | 0.154926i | ||||
\(277\) | 2.45895 | + | 6.40579i | 0.147744 | + | 0.384887i | 0.987403 | − | 0.158228i | \(-0.0505781\pi\) |
−0.839658 | + | 0.543115i | \(0.817245\pi\) | |||||||
\(278\) | 1.11781 | − | 21.3290i | 0.0670415 | − | 1.27923i | ||||
\(279\) | 1.03784 | + | 3.05985i | 0.0621341 | + | 0.183189i | ||||
\(280\) | −3.37071 | + | 0.169025i | −0.201439 | + | 0.0101012i | ||||
\(281\) | −1.16376 | + | 0.378127i | −0.0694239 | + | 0.0225572i | −0.343523 | − | 0.939144i | \(-0.611620\pi\) |
0.274099 | + | 0.961701i | \(0.411620\pi\) | |||||||
\(282\) | −1.83377 | + | 8.90816i | −0.109200 | + | 0.530473i | ||||
\(283\) | −0.824885 | − | 15.7398i | −0.0490343 | − | 0.935631i | −0.906792 | − | 0.421577i | \(-0.861477\pi\) |
0.857758 | − | 0.514054i | \(-0.171857\pi\) | |||||||
\(284\) | −0.809374 | + | 7.70068i | −0.0480275 | + | 0.456951i | ||||
\(285\) | −24.7917 | + | 13.9505i | −1.46854 | + | 0.826359i | ||||
\(286\) | 0.424753 | − | 0.308601i | 0.0251162 | − | 0.0182480i | ||||
\(287\) | 6.52015 | + | 2.00937i | 0.384872 | + | 0.118609i | ||||
\(288\) | 15.7645 | − | 16.1747i | 0.928929 | − | 0.953105i | ||||
\(289\) | 14.8517 | − | 1.56098i | 0.873630 | − | 0.0918222i | ||||
\(290\) | 2.00035 | − | 1.93164i | 0.117464 | − | 0.113430i | ||||
\(291\) | 27.0117 | + | 17.2960i | 1.58345 | + | 1.01391i | ||||
\(292\) | 4.27286 | + | 6.57963i | 0.250050 | + | 0.385044i | ||||
\(293\) | 6.59965 | + | 6.59965i | 0.385556 | + | 0.385556i | 0.873099 | − | 0.487543i | \(-0.162107\pi\) |
−0.487543 | + | 0.873099i | \(0.662107\pi\) | |||||||
\(294\) | −11.3517 | − | 20.3853i | −0.662047 | − | 1.18890i | ||||
\(295\) | 1.89973 | + | 21.7188i | 0.110606 | + | 1.26452i | ||||
\(296\) | 3.92047 | − | 3.53001i | 0.227873 | − | 0.205177i | ||||
\(297\) | 10.6774 | − | 25.2817i | 0.619564 | − | 1.46699i | ||||
\(298\) | −29.0357 | + | 11.1458i | −1.68199 | + | 0.645657i | ||||
\(299\) | −0.0225674 | + | 0.0390879i | −0.00130511 | + | 0.00226051i | ||||
\(300\) | 6.38266 | − | 13.3012i | 0.368503 | − | 0.767947i | ||||
\(301\) | 9.57454 | + | 4.69636i | 0.551867 | + | 0.270694i | ||||
\(302\) | 1.60247 | − | 10.1176i | 0.0922120 | − | 0.582204i | ||||
\(303\) | −10.0858 | − | 5.73697i | −0.579412 | − | 0.329581i | ||||
\(304\) | −6.87967 | − | 32.3663i | −0.394576 | − | 1.85634i | ||||
\(305\) | −8.81703 | − | 28.8412i | −0.504862 | − | 1.65144i | ||||
\(306\) | 3.47278 | + | 7.53790i | 0.198526 | + | 0.430913i | ||||
\(307\) | −7.63382 | − | 7.63382i | −0.435685 | − | 0.435685i | 0.454872 | − | 0.890557i | \(-0.349685\pi\) |
−0.890557 | + | 0.454872i | \(0.849685\pi\) | |||||||
\(308\) | 2.84827 | + | 23.6343i | 0.162295 | + | 1.34669i | ||||
\(309\) | −7.24218 | − | 13.9907i | −0.411993 | − | 0.795904i | ||||
\(310\) | −4.35521 | + | 1.58507i | −0.247359 | + | 0.0900260i | ||||
\(311\) | −10.7031 | + | 24.0395i | −0.606916 | + | 1.36316i | 0.304832 | + | 0.952406i | \(0.401400\pi\) |
−0.911748 | + | 0.410750i | \(0.865267\pi\) | |||||||
\(312\) | −0.0498540 | + | 0.0109319i | −0.00282243 | + | 0.000618897i | ||||
\(313\) | −9.86867 | + | 25.7088i | −0.557810 | + | 1.45315i | 0.307324 | + | 0.951605i | \(0.400566\pi\) |
−0.865134 | + | 0.501540i | \(0.832767\pi\) | |||||||
\(314\) | −5.01867 | + | 3.64628i | −0.283220 | + | 0.205772i | ||||
\(315\) | −17.7472 | + | 0.187915i | −0.999944 | + | 0.0105878i | ||||
\(316\) | −19.8270 | − | 14.4051i | −1.11535 | − | 0.810351i | ||||
\(317\) | −22.3669 | + | 14.5253i | −1.25625 | + | 0.815820i | −0.989016 | − | 0.147811i | \(-0.952777\pi\) |
−0.267237 | + | 0.963631i | \(0.586111\pi\) | |||||||
\(318\) | 4.20703 | − | 4.73317i | 0.235919 | − | 0.265423i | ||||
\(319\) | 2.53633 | + | 2.28372i | 0.142007 | + | 0.127864i | ||||
\(320\) | 8.95973 | + | 8.35541i | 0.500864 | + | 0.467081i | ||||
\(321\) | −20.2282 | + | 20.4897i | −1.12903 | + | 1.14362i | ||||
\(322\) | −2.28289 | − | 3.81870i | −0.127221 | − | 0.212808i | ||||
\(323\) | 10.4287 | + | 1.65175i | 0.580269 | + | 0.0919056i | ||||
\(324\) | 11.1267 | − | 10.5485i | 0.618150 | − | 0.586027i | ||||
\(325\) | −0.221386 | + | 0.133010i | −0.0122803 | + | 0.00737808i | ||||
\(326\) | −23.7861 | + | 13.7329i | −1.31739 | + | 0.760596i | ||||
\(327\) | −10.6835 | − | 23.5867i | −0.590799 | − | 1.30435i | ||||
\(328\) | 0.667868 | + | 1.31076i | 0.0368768 | + | 0.0723749i | ||||
\(329\) | 1.97430 | + | 6.94380i | 0.108847 | + | 0.382824i | ||||
\(330\) | 36.5931 | + | 14.5127i | 2.01439 | + | 0.798900i | ||||
\(331\) | 17.2518 | + | 3.66699i | 0.948246 | + | 0.201556i | 0.655977 | − | 0.754781i | \(-0.272257\pi\) |
0.292268 | + | 0.956336i | \(0.405590\pi\) | |||||||
\(332\) | −5.07098 | − | 1.35876i | −0.278306 | − | 0.0745719i | ||||
\(333\) | 21.3343 | − | 17.7347i | 1.16911 | − | 0.971855i | ||||
\(334\) | −7.03373 | − | 15.7980i | −0.384869 | − | 0.864429i | ||||
\(335\) | 18.3686 | − | 4.57943i | 1.00359 | − | 0.250201i | ||||
\(336\) | 5.95318 | − | 19.7675i | 0.324773 | − | 1.07840i | ||||
\(337\) | −4.18164 | − | 26.4018i | −0.227788 | − | 1.43820i | −0.790964 | − | 0.611863i | \(-0.790421\pi\) |
0.563176 | − | 0.826337i | \(-0.309579\pi\) | |||||||
\(338\) | 23.3516 | + | 8.96383i | 1.27016 | + | 0.487568i | ||||
\(339\) | −10.1076 | + | 8.29302i | −0.548970 | + | 0.450415i | ||||
\(340\) | −4.92181 | + | 2.40041i | −0.266922 | + | 0.130180i | ||||
\(341\) | −2.31368 | − | 5.19661i | −0.125293 | − | 0.281412i | ||||
\(342\) | −7.17117 | − | 41.7952i | −0.387773 | − | 2.26002i | ||||
\(343\) | −15.4643 | − | 10.1909i | −0.834996 | − | 0.550256i | ||||
\(344\) | 0.710558 | + | 2.18687i | 0.0383107 | + | 0.117908i | ||||
\(345\) | −3.38129 | + | 0.139759i | −0.182043 | + | 0.00752437i | ||||
\(346\) | 43.9102 | − | 9.33339i | 2.36063 | − | 0.501766i | ||||
\(347\) | −12.3661 | + | 19.0422i | −0.663849 | + | 1.02224i | 0.333001 | + | 0.942926i | \(0.391939\pi\) |
−0.996850 | + | 0.0793108i | \(0.974728\pi\) | |||||||
\(348\) | 0.786707 | + | 1.73687i | 0.0421719 | + | 0.0931057i | ||||
\(349\) | 32.8322i | 1.75747i | 0.477312 | + | 0.878734i | \(0.341611\pi\) | ||||
−0.477312 | + | 0.878734i | \(0.658389\pi\) | |||||||
\(350\) | −0.830566 | − | 25.4447i | −0.0443956 | − | 1.36008i | ||||
\(351\) | −0.264239 | + | 0.0470869i | −0.0141041 | + | 0.00251331i | ||||
\(352\) | −25.0242 | + | 30.9023i | −1.33379 | + | 1.64710i | ||||
\(353\) | 1.59640 | + | 1.03671i | 0.0849675 | + | 0.0551786i | 0.586424 | − | 0.810005i | \(-0.300535\pi\) |
−0.501456 | + | 0.865183i | \(0.667202\pi\) | |||||||
\(354\) | −31.4456 | − | 8.20972i | −1.67131 | − | 0.436342i | ||||
\(355\) | 10.0876 | + | 1.23881i | 0.535396 | + | 0.0657490i | ||||
\(356\) | −12.0472 | + | 3.91439i | −0.638503 | + | 0.207462i | ||||
\(357\) | 5.20800 | + | 4.03395i | 0.275637 | + | 0.213499i | ||||
\(358\) | 3.27431 | + | 1.66834i | 0.173053 | + | 0.0881747i | ||||
\(359\) | 1.76888 | − | 0.787558i | 0.0933581 | − | 0.0415657i | −0.359526 | − | 0.933135i | \(-0.617062\pi\) |
0.452884 | + | 0.891569i | \(0.350395\pi\) | |||||||
\(360\) | −2.69343 | − | 2.71847i | −0.141956 | − | 0.143276i | ||||
\(361\) | −31.9283 | − | 14.2154i | −1.68044 | − | 0.748178i | ||||
\(362\) | 6.48474 | − | 16.8933i | 0.340831 | − | 0.887894i | ||||
\(363\) | −8.86395 | + | 27.8886i | −0.465237 | + | 1.46377i | ||||
\(364\) | 0.178682 | − | 0.149252i | 0.00936546 | − | 0.00782292i | ||||
\(365\) | 8.73295 | − | 5.45672i | 0.457104 | − | 0.285618i | ||||
\(366\) | 44.9099 | + | 2.06450i | 2.34748 | + | 0.107913i | ||||
\(367\) | 16.7163 | − | 0.876063i | 0.872583 | − | 0.0457301i | 0.389215 | − | 0.921147i | \(-0.372746\pi\) |
0.483368 | + | 0.875417i | \(0.339413\pi\) | |||||||
\(368\) | 1.01882 | − | 3.80229i | 0.0531097 | − | 0.198208i | ||||
\(369\) | 3.23714 | + | 7.02644i | 0.168519 | + | 0.365782i | ||||
\(370\) | 26.1072 | + | 30.0340i | 1.35725 | + | 1.56139i | ||||
\(371\) | 1.22692 | − | 4.87441i | 0.0636983 | − | 0.253067i | ||||
\(372\) | −0.0204097 | − | 3.17787i | −0.00105819 | − | 0.164765i | ||||
\(373\) | 18.9421 | + | 15.3390i | 0.980783 | + | 0.794222i | 0.978599 | − | 0.205775i | \(-0.0659716\pi\) |
0.00218376 | + | 0.999998i | \(0.499305\pi\) | |||||||
\(374\) | −7.30568 | − | 12.6538i | −0.377768 | − | 0.654313i | ||||
\(375\) | −17.3099 | − | 8.68151i | −0.893878 | − | 0.448311i | ||||
\(376\) | −0.778274 | + | 1.34801i | −0.0401364 | + | 0.0695183i | ||||
\(377\) | 0.00522161 | − | 0.0329679i | 0.000268926 | − | 0.00169794i | ||||
\(378\) | 8.62416 | − | 25.0120i | 0.443579 | − | 1.28648i | ||||
\(379\) | −15.4300 | − | 5.01352i | −0.792587 | − | 0.257527i | −0.115382 | − | 0.993321i | \(-0.536809\pi\) |
−0.677205 | + | 0.735794i | \(0.736809\pi\) | |||||||
\(380\) | 27.4655 | − | 5.33821i | 1.40895 | − | 0.273844i | ||||
\(381\) | −0.593419 | − | 1.51672i | −0.0304018 | − | 0.0777040i | ||||
\(382\) | 5.68294 | − | 21.2090i | 0.290764 | − | 1.08515i | ||||
\(383\) | 4.75347 | + | 7.31971i | 0.242891 | + | 0.374020i | 0.939000 | − | 0.343916i | \(-0.111754\pi\) |
−0.696109 | + | 0.717936i | \(0.745087\pi\) | |||||||
\(384\) | 6.94282 | − | 3.59389i | 0.354299 | − | 0.183400i | ||||
\(385\) | 31.0824 | − | 3.19599i | 1.58411 | − | 0.162883i | ||||
\(386\) | 16.2009 | + | 22.2986i | 0.824602 | + | 1.13497i | ||||
\(387\) | 3.27946 | + | 11.6390i | 0.166704 | + | 0.591644i | ||||
\(388\) | −19.8533 | − | 24.5167i | −1.00790 | − | 1.24465i | ||||
\(389\) | 6.72089 | + | 2.99233i | 0.340762 | + | 0.151717i | 0.569981 | − | 0.821658i | \(-0.306950\pi\) |
−0.229219 | + | 0.973375i | \(0.573617\pi\) | |||||||
\(390\) | −0.0758796 | − | 0.377447i | −0.00384231 | − | 0.0191128i | ||||
\(391\) | 1.01620 | + | 0.738316i | 0.0513917 | + | 0.0373382i | ||||
\(392\) | −0.744409 | − | 3.92330i | −0.0375984 | − | 0.198156i | ||||
\(393\) | −20.2589 | + | 6.72666i | −1.02193 | + | 0.339315i | ||||
\(394\) | −3.22826 | + | 15.1878i | −0.162637 | + | 0.765148i | ||||
\(395\) | −19.3597 | + | 25.6901i | −0.974090 | + | 1.29261i | ||||
\(396\) | −17.8025 | + | 20.2898i | −0.894608 | + | 1.01960i | ||||
\(397\) | −1.46763 | + | 28.0041i | −0.0736584 | + | 1.40549i | 0.672687 | + | 0.739928i | \(0.265140\pi\) |
−0.746345 | + | 0.665559i | \(0.768193\pi\) | |||||||
\(398\) | 25.1638 | + | 3.98556i | 1.26135 | + | 0.199778i | ||||
\(399\) | −20.3690 | − | 26.7965i | −1.01972 | − | 1.34150i | ||||
\(400\) | 15.6478 | − | 16.2025i | 0.782389 | − | 0.810124i | ||||
\(401\) | 17.5544 | + | 10.1350i | 0.876622 | + | 0.506118i | 0.869543 | − | 0.493857i | \(-0.164413\pi\) |
0.00707915 | + | 0.999975i | \(0.497747\pi\) | |||||||
\(402\) | −2.76948 | + | 28.0837i | −0.138129 | + | 1.40069i | ||||
\(403\) | −0.0302997 | + | 0.0466574i | −0.00150933 | + | 0.00232417i | ||||
\(404\) | 7.63642 | + | 8.48111i | 0.379926 | + | 0.421951i | ||||
\(405\) | −13.5884 | − | 14.8444i | −0.675214 | − | 0.737622i | ||||
\(406\) | 2.58820 | + | 2.03147i | 0.128450 | + | 0.100820i | ||||
\(407\) | −34.5367 | + | 34.5367i | −1.71192 | + | 1.71192i | ||||
\(408\) | 0.157541 | + | 1.41163i | 0.00779944 | + | 0.0698862i | ||||
\(409\) | 20.5218 | + | 2.15692i | 1.01474 | + | 0.106653i | 0.597270 | − | 0.802040i | \(-0.296252\pi\) |
0.417465 | + | 0.908693i | \(0.362919\pi\) | |||||||
\(410\) | −9.97401 | + | 4.86441i | −0.492581 | + | 0.240236i | ||||
\(411\) | −0.476602 | + | 1.26583i | −0.0235090 | + | 0.0624388i | ||||
\(412\) | 2.42395 | + | 15.3042i | 0.119419 | + | 0.753984i | ||||
\(413\) | −25.1480 | + | 5.74664i | −1.23745 | + | 0.282773i | ||||
\(414\) | 1.49716 | − | 4.81747i | 0.0735814 | − | 0.236766i | ||||
\(415\) | −1.89951 | + | 6.62388i | −0.0932431 | + | 0.325153i | ||||
\(416\) | 0.386760 | + | 0.0406501i | 0.0189625 | + | 0.00199304i | ||||
\(417\) | 7.70567 | − | 17.6107i | 0.377348 | − | 0.862402i | ||||
\(418\) | 19.3226 | + | 72.1131i | 0.945101 | + | 3.52717i | ||||
\(419\) | −5.13087 | − | 15.7912i | −0.250660 | − | 0.771451i | −0.994654 | − | 0.103265i | \(-0.967071\pi\) |
0.743994 | − | 0.668186i | \(-0.232929\pi\) | |||||||
\(420\) | 16.6243 | + | 5.32512i | 0.811185 | + | 0.259839i | ||||
\(421\) | −5.74563 | + | 17.6832i | −0.280025 | + | 0.861828i | 0.707821 | + | 0.706392i | \(0.249678\pi\) |
−0.987846 | + | 0.155436i | \(0.950322\pi\) | |||||||
\(422\) | −13.2037 | − | 0.691975i | −0.642744 | − | 0.0336848i | ||||
\(423\) | −4.36965 | + | 6.92172i | −0.212460 | + | 0.336545i | ||||
\(424\) | 0.938590 | − | 0.541895i | 0.0455820 | − | 0.0263168i | ||||
\(425\) | 3.03737 | + | 6.51432i | 0.147334 | + | 0.315991i | ||||
\(426\) | −6.79133 | + | 13.5431i | −0.329041 | + | 0.656163i | ||||
\(427\) | 32.3747 | − | 15.0085i | 1.56672 | − | 0.726312i | ||||
\(428\) | 25.2324 | − | 12.8566i | 1.21965 | − | 0.621445i | ||||
\(429\) | 0.455634 | − | 0.125229i | 0.0219982 | − | 0.00604609i | ||||
\(430\) | −16.5874 | + | 5.07092i | −0.799915 | + | 0.244542i | ||||
\(431\) | 21.9674 | + | 19.7795i | 1.05813 | + | 0.952746i | 0.998964 | − | 0.0455021i | \(-0.0144888\pi\) |
0.0591673 | + | 0.998248i | \(0.481155\pi\) | |||||||
\(432\) | 21.1974 | − | 9.93137i | 1.01986 | − | 0.477823i | ||||
\(433\) | 24.0994 | + | 12.2792i | 1.15814 | + | 0.590103i | 0.924110 | − | 0.382126i | \(-0.124808\pi\) |
0.234032 | + | 0.972229i | \(0.424808\pi\) | |||||||
\(434\) | −2.56367 | − | 4.84769i | −0.123060 | − | 0.232696i | ||||
\(435\) | 2.29747 | − | 0.992624i | 0.110155 | − | 0.0475927i | ||||
\(436\) | 2.66209 | + | 25.3281i | 0.127491 | + | 1.21300i | ||||
\(437\) | −4.03901 | − | 4.98776i | −0.193212 | − | 0.238597i | ||||
\(438\) | 3.28790 | + | 14.9942i | 0.157102 | + | 0.716451i | ||||
\(439\) | −10.6657 | + | 1.12101i | −0.509044 | + | 0.0535027i | −0.355569 | − | 0.934650i | \(-0.615713\pi\) |
−0.153475 | + | 0.988153i | \(0.549046\pi\) | |||||||
\(440\) | 5.16095 | + | 4.33073i | 0.246039 | + | 0.206459i | ||||
\(441\) | −3.09660 | − | 20.7704i | −0.147457 | − | 0.989068i | ||||
\(442\) | −0.0648748 | + | 0.127324i | −0.00308578 | + | 0.00605619i | ||||
\(443\) | −39.6790 | + | 10.6320i | −1.88521 | + | 0.505140i | −0.886072 | + | 0.463548i | \(0.846576\pi\) |
−0.999135 | + | 0.0415915i | \(0.986757\pi\) | |||||||
\(444\) | −25.4110 | + | 9.94210i | −1.20595 | + | 0.471831i | ||||
\(445\) | 4.86087 | + | 15.9003i | 0.230428 | + | 0.753747i | ||||
\(446\) | 8.74951 | − | 7.87810i | 0.414301 | − | 0.373039i | ||||
\(447\) | −27.9913 | + | 0.179772i | −1.32394 | + | 0.00850294i | ||||
\(448\) | −8.34094 | + | 11.8556i | −0.394072 | + | 0.560122i | ||||
\(449\) | 17.0842 | 0.806251 | 0.403126 | − | 0.915145i | \(-0.367924\pi\) | ||||
0.403126 | + | 0.915145i | \(0.367924\pi\) | |||||||
\(450\) | 20.8581 | − | 19.9560i | 0.983262 | − | 0.940734i | ||||
\(451\) | −6.80997 | − | 11.7952i | −0.320669 | − | 0.555415i | ||||
\(452\) | 12.0052 | − | 4.60837i | 0.564678 | − | 0.216760i | ||||
\(453\) | 4.55840 | − | 8.01379i | 0.214172 | − | 0.376521i | ||||
\(454\) | −9.49728 | − | 3.08585i | −0.445729 | − | 0.144826i | ||||
\(455\) | −0.191777 | − | 0.237921i | −0.00899064 | − | 0.0111539i | ||||
\(456\) | 1.08927 | − | 7.17533i | 0.0510097 | − | 0.336015i | ||||
\(457\) | −5.09924 | + | 1.36634i | −0.238532 | + | 0.0639146i | −0.376105 | − | 0.926577i | \(-0.622737\pi\) |
0.137572 | + | 0.990492i | \(0.456070\pi\) | |||||||
\(458\) | 39.3333 | − | 2.06137i | 1.83792 | − | 0.0963215i | ||||
\(459\) | 0.534567 | + | 7.45045i | 0.0249515 | + | 0.347757i | ||||
\(460\) | 3.19957 | + | 0.917530i | 0.149181 | + | 0.0427801i | ||||
\(461\) | 2.34974 | + | 3.23414i | 0.109438 | + | 0.150629i | 0.860223 | − | 0.509918i | \(-0.170324\pi\) |
−0.750785 | + | 0.660547i | \(0.770324\pi\) | |||||||
\(462\) | −11.0791 | + | 45.2416i | −0.515446 | + | 2.10483i | ||||
\(463\) | 18.8208 | − | 2.98093i | 0.874679 | − | 0.138536i | 0.297076 | − | 0.954854i | \(-0.403988\pi\) |
0.577602 | + | 0.816318i | \(0.303988\pi\) | |||||||
\(464\) | 0.304296 | + | 2.89518i | 0.0141266 | + | 0.134406i | ||||
\(465\) | −4.17104 | − | 0.0460936i | −0.193427 | − | 0.00213754i | ||||
\(466\) | 1.58478 | − | 15.0782i | 0.0734137 | − | 0.698485i | ||||
\(467\) | 4.38550 | − | 2.84797i | 0.202937 | − | 0.131789i | −0.439170 | − | 0.898404i | \(-0.644727\pi\) |
0.642106 | + | 0.766615i | \(0.278061\pi\) | |||||||
\(468\) | 0.261247 | + | 0.0379445i | 0.0120762 | + | 0.00175398i | ||||
\(469\) | 8.34444 | + | 20.7870i | 0.385311 | + | 0.959854i | ||||
\(470\) | −10.0643 | − | 6.04753i | −0.464233 | − | 0.278952i | ||||
\(471\) | −5.38355 | + | 1.47964i | −0.248061 | + | 0.0681782i | ||||
\(472\) | −4.66478 | − | 3.02935i | −0.214714 | − | 0.139437i | ||||
\(473\) | −7.62918 | − | 19.8747i | −0.350790 | − | 0.913839i | ||||
\(474\) | −26.3744 | − | 40.0476i | −1.21142 | − | 1.83945i | ||||
\(475\) | −6.37587 | − | 36.1676i | −0.292545 | − | 1.65948i | ||||
\(476\) | −3.61112 | − | 5.37963i | −0.165515 | − | 0.246575i | ||||
\(477\) | 5.04460 | − | 2.65251i | 0.230976 | − | 0.121450i | ||||
\(478\) | −40.1525 | − | 2.10430i | −1.83653 | − | 0.0962485i | ||||
\(479\) | 4.15203 | − | 0.882540i | 0.189711 | − | 0.0403243i | −0.112076 | − | 0.993700i | \(-0.535750\pi\) |
0.301787 | + | 0.953375i | \(0.402417\pi\) | |||||||
\(480\) | 12.9499 | + | 26.1253i | 0.591079 | + | 1.19245i | ||||
\(481\) | 0.467239 | + | 0.0993148i | 0.0213043 | + | 0.00452836i | ||||
\(482\) | 36.6826 | − | 36.6826i | 1.67085 | − | 1.67085i | ||||
\(483\) | −0.711823 | − | 3.94044i | −0.0323891 | − | 0.179296i | ||||
\(484\) | 16.9177 | − | 23.2853i | 0.768988 | − | 1.05842i | ||||
\(485\) | −32.6305 | + | 25.4927i | −1.48168 | + | 1.15757i | ||||
\(486\) | 27.6473 | − | 11.6445i | 1.25411 | − | 0.528205i | ||||
\(487\) | 19.1611 | − | 15.5164i | 0.868274 | − | 0.703114i | −0.0878320 | − | 0.996135i | \(-0.527994\pi\) |
0.956106 | + | 0.293021i | \(0.0946605\pi\) | |||||||
\(488\) | 7.18314 | + | 2.75735i | 0.325166 | + | 0.124819i | ||||
\(489\) | −24.3900 | + | 4.02374i | −1.10296 | + | 0.181960i | ||||
\(490\) | 29.6882 | − | 5.09738i | 1.34118 | − | 0.230276i | ||||
\(491\) | −5.99311 | + | 8.24881i | −0.270465 | + | 0.372264i | −0.922547 | − | 0.385885i | \(-0.873896\pi\) |
0.652081 | + | 0.758149i | \(0.273896\pi\) | |||||||
\(492\) | −0.843947 | − | 7.56211i | −0.0380481 | − | 0.340926i | ||||
\(493\) | −0.897279 | − | 0.240425i | −0.0404114 | − | 0.0108282i | ||||
\(494\) | 0.488562 | − | 0.542603i | 0.0219815 | − | 0.0244129i | ||||
\(495\) | 26.2196 | + | 23.8289i | 1.17848 | + | 1.07103i | ||||
\(496\) | 1.49934 | − | 4.61451i | 0.0673226 | − | 0.207198i | ||||
\(497\) | 0.182974 | + | 12.0241i | 0.00820751 | + | 0.539356i | ||||
\(498\) | −8.34890 | − | 5.98429i | −0.374123 | − | 0.268162i | ||||
\(499\) | −29.1066 | − | 16.8047i | −1.30299 | − | 0.752283i | −0.322075 | − | 0.946714i | \(-0.604380\pi\) |
−0.980916 | + | 0.194431i | \(0.937714\pi\) | |||||||
\(500\) | 13.4671 | + | 13.4687i | 0.602268 | + | 0.602338i | ||||
\(501\) | −0.914363 | − | 15.5372i | −0.0408507 | − | 0.694150i | ||||
\(502\) | 27.2468 | − | 33.6470i | 1.21608 | − | 1.50174i | ||||
\(503\) | 38.7551 | − | 19.7467i | 1.72801 | − | 0.880463i | 0.753081 | − | 0.657928i | \(-0.228567\pi\) |
0.974925 | − | 0.222535i | \(-0.0714332\pi\) | |||||||
\(504\) | 2.74969 | − | 3.59746i | 0.122481 | − | 0.160244i | ||||
\(505\) | 11.3055 | − | 9.82737i | 0.503090 | − | 0.437312i | ||||
\(506\) | −1.84655 | + | 8.68735i | −0.0820893 | + | 0.386200i | ||||
\(507\) | 16.8261 | + | 14.9557i | 0.747273 | + | 0.664208i | ||||
\(508\) | 0.0838368 | + | 1.59970i | 0.00371966 | + | 0.0709753i | ||||
\(509\) | 26.7729 | − | 11.9201i | 1.18669 | − | 0.528348i | 0.284077 | − | 0.958802i | \(-0.408313\pi\) |
0.902613 | + | 0.430453i | \(0.141646\pi\) | |||||||
\(510\) | −10.6675 | + | 1.00215i | −0.472366 | + | 0.0443760i | ||||
\(511\) | 7.81099 | + | 9.35119i | 0.345538 | + | 0.413672i | ||||
\(512\) | −28.4228 | + | 4.50172i | −1.25612 | + | 0.198950i | ||||
\(513\) | 7.21446 | − | 37.4780i | 0.318526 | − | 1.65469i | ||||
\(514\) | 20.2326 | − | 45.4431i | 0.892421 | − | 2.00441i | ||||
\(515\) | 20.1405 | − | 2.83016i | 0.887495 | − | 0.124712i | ||||
\(516\) | 0.546159 | − | 11.8808i | 0.0240433 | − | 0.523023i | ||||
\(517\) | 6.54246 | − | 12.8403i | 0.287737 | − | 0.564715i | ||||
\(518\) | −30.9705 | + | 35.4669i | −1.36077 | + | 1.55833i | ||||
\(519\) | 39.9451 | + | 6.06397i | 1.75340 | + | 0.266179i | ||||
\(520\) | 0.00803129 | − | 0.0653991i | 0.000352195 | − | 0.00286794i | ||||
\(521\) | −1.79684 | − | 8.45345i | −0.0787208 | − | 0.370352i | 0.921099 | − | 0.389328i | \(-0.127293\pi\) |
−0.999820 | + | 0.0189759i | \(0.993959\pi\) | |||||||
\(522\) | 0.243092 | + | 3.72285i | 0.0106398 | + | 0.162945i | ||||
\(523\) | 3.48459 | + | 2.82177i | 0.152371 | + | 0.123387i | 0.702474 | − | 0.711709i | \(-0.252079\pi\) |
−0.550104 | + | 0.835096i | \(0.685412\pi\) | |||||||
\(524\) | 20.9954 | 0.917189 | ||||||||
\(525\) | 7.36982 | − | 21.6953i | 0.321645 | − | 0.946860i | ||||
\(526\) | −46.4338 | −2.02461 | ||||||||
\(527\) | 1.20322 | + | 0.974345i | 0.0524129 | + | 0.0424431i | ||||
\(528\) | −35.5572 | + | 20.8346i | −1.54743 | + | 0.906709i | ||||
\(529\) | 4.62323 | + | 21.7506i | 0.201010 | + | 0.945677i | ||||
\(530\) | 3.96336 | + | 7.15042i | 0.172157 | + | 0.310594i | ||||
\(531\) | −23.8827 | − | 16.8874i | −1.03642 | − | 0.732852i | ||||
\(532\) | 10.7081 | + | 31.3262i | 0.464256 | + | 1.35816i | ||||
\(533\) | −0.0604729 | + | 0.118685i | −0.00261937 | + | 0.00514081i | ||||
\(534\) | −24.7591 | − | 1.13817i | −1.07143 | − | 0.0492535i | ||||
\(535\) | −16.2940 | − | 33.4093i | −0.704451 | − | 1.44441i | ||||
\(536\) | −1.96441 | + | 4.41214i | −0.0848496 | + | 0.190575i | ||||
\(537\) | 2.22883 | + | 2.44363i | 0.0961813 | + | 0.105450i | ||||
\(538\) | −18.3684 | + | 2.90926i | −0.791916 | + | 0.125427i | ||||
\(539\) | 8.78353 | + | 35.9126i | 0.378333 | + | 1.54687i | ||||
\(540\) | 8.08325 | + | 18.0680i | 0.347848 | + | 0.777521i | ||||
\(541\) | 2.02511 | − | 0.901637i | 0.0870663 | − | 0.0387644i | −0.362741 | − | 0.931890i | \(-0.618159\pi\) |
0.449808 | + | 0.893125i | \(0.351493\pi\) | |||||||
\(542\) | 0.798215 | + | 15.2308i | 0.0342863 | + | 0.654221i | ||||
\(543\) | 10.8195 | − | 12.1726i | 0.464309 | − | 0.522376i | ||||
\(544\) | 2.25018 | − | 10.5863i | 0.0964758 | − | 0.453883i | ||||
\(545\) | 33.3011 | − | 2.91282i | 1.42646 | − | 0.124771i | ||||
\(546\) | 0.430094 | − | 0.150110i | 0.0184063 | − | 0.00642410i | ||||
\(547\) | 8.24283 | − | 4.19993i | 0.352438 | − | 0.179576i | −0.268804 | − | 0.963195i | \(-0.586628\pi\) |
0.621242 | + | 0.783619i | \(0.286628\pi\) | |||||||
\(548\) | 0.837210 | − | 1.03387i | 0.0357638 | − | 0.0441646i | ||||
\(549\) | 37.1725 | + | 15.9814i | 1.58648 | + | 0.682068i | ||||
\(550\) | −33.3432 | + | 38.3540i | −1.42176 | + | 1.63542i | ||||
\(551\) | 4.11049 | + | 2.37319i | 0.175113 | + | 0.101101i | ||||
\(552\) | 0.502986 | − | 0.701734i | 0.0214085 | − | 0.0298678i | ||||
\(553\) | −33.2481 | − | 18.5271i | −1.41385 | − | 0.787851i | ||||
\(554\) | 4.08050 | − | 12.5585i | 0.173364 | − | 0.533560i | ||||
\(555\) | 12.4650 | + | 33.5769i | 0.529111 | + | 1.42526i | ||||
\(556\) | −12.6510 | + | 14.0504i | −0.536524 | + | 0.595870i | ||||
\(557\) | −12.1068 | − | 3.24400i | −0.512980 | − | 0.137453i | −0.00696241 | − | 0.999976i | \(-0.502216\pi\) |
−0.506018 | + | 0.862523i | \(0.668883\pi\) | |||||||
\(558\) | 2.15362 | − | 5.83323i | 0.0911699 | − | 0.246940i | ||||
\(559\) | −0.122379 | + | 0.168440i | −0.00517607 | + | 0.00712425i | ||||
\(560\) | 21.5264 | + | 15.7142i | 0.909657 | + | 0.664046i | ||||
\(561\) | −2.14056 | − | 12.9751i | −0.0903745 | − | 0.547808i | ||||
\(562\) | 2.19845 | + | 0.843908i | 0.0927362 | + | 0.0355981i | ||||
\(563\) | −18.9643 | + | 15.3570i | −0.799250 | + | 0.647220i | −0.939366 | − | 0.342915i | \(-0.888586\pi\) |
0.140116 | + | 0.990135i | \(0.455252\pi\) | |||||||
\(564\) | 6.22413 | − | 5.10674i | 0.262083 | − | 0.215032i | ||||
\(565\) | −5.77260 | − | 15.8611i | −0.242855 | − | 0.667280i | ||||
\(566\) | −17.8288 | + | 24.5393i | −0.749401 | + | 1.03146i | ||||
\(567\) | 15.1962 | − | 18.3324i | 0.638181 | − | 0.769887i | ||||
\(568\) | −1.83347 | + | 1.83347i | −0.0769306 | + | 0.0769306i | ||||
\(569\) | −44.5374 | − | 9.46671i | −1.86710 | − | 0.396865i | −0.871488 | − | 0.490416i | \(-0.836845\pi\) |
−0.995614 | + | 0.0935511i | \(0.970178\pi\) | |||||||
\(570\) | 53.9739 | + | 9.16112i | 2.26072 | + | 0.383717i | ||||
\(571\) | −9.22944 | + | 1.96178i | −0.386240 | + | 0.0820979i | −0.396939 | − | 0.917845i | \(-0.629928\pi\) |
0.0106991 | + | 0.999943i | \(0.496594\pi\) | |||||||
\(572\) | −0.464123 | − | 0.0243236i | −0.0194059 | − | 0.00101702i | ||||
\(573\) | 11.5128 | − | 16.0619i | 0.480954 | − | 0.670997i | ||||
\(574\) | −7.31791 | − | 10.9018i | −0.305444 | − | 0.455032i | ||||
\(575\) | 1.27752 | − | 4.17801i | 0.0532764 | − | 0.174235i | ||||
\(576\) | −16.3231 | + | 1.92791i | −0.680130 | + | 0.0803296i | ||||
\(577\) | 7.39963 | + | 19.2767i | 0.308050 | + | 0.802499i | 0.996979 | + | 0.0776698i | \(0.0247480\pi\) |
−0.688929 | + | 0.724829i | \(0.741919\pi\) | |||||||
\(578\) | −24.1026 | − | 15.6524i | −1.00254 | − | 0.651054i | ||||
\(579\) | 6.57421 | + | 23.9197i | 0.273215 | + | 0.994070i | ||||
\(580\) | −2.45221 | + | 0.214493i | −0.101823 | + | 0.00890632i | ||||
\(581\) | −8.07146 | − | 1.15279i | −0.334861 | − | 0.0478258i | ||||
\(582\) | −19.4512 | − | 58.5816i | −0.806276 | − | 2.42829i | ||||
\(583\) | −8.41527 | + | 5.46494i | −0.348525 | + | 0.226335i | ||||
\(584\) | −0.274611 | + | 2.61275i | −0.0113635 | + | 0.108116i | ||||
\(585\) | 0.0557887 | − | 0.341985i | 0.00230658 | − | 0.0141393i | ||||
\(586\) | −1.87750 | − | 17.8632i | −0.0775589 | − | 0.737924i | ||||
\(587\) | −0.0867791 | + | 0.0137445i | −0.00358176 | + | 0.000567295i | −0.158225 | − | 0.987403i | \(-0.550577\pi\) |
0.154643 | + | 0.987970i | \(0.450577\pi\) | |||||||
\(588\) | −3.54702 | + | 20.3478i | −0.146277 | + | 0.839131i | ||||
\(589\) | −4.64985 | − | 6.39997i | −0.191594 | − | 0.263706i | ||||
\(590\) | 23.4626 | − | 34.7833i | 0.965940 | − | 1.43201i | ||||
\(591\) | −7.53569 | + | 11.7687i | −0.309977 | + | 0.484101i | ||||
\(592\) | −41.6035 | + | 2.18034i | −1.70989 | + | 0.0896116i | ||||
\(593\) | −34.3523 | + | 9.20468i | −1.41068 | + | 0.377991i | −0.882168 | − | 0.470934i | \(-0.843917\pi\) |
−0.528513 | + | 0.848925i | \(0.677250\pi\) | |||||||
\(594\) | −46.5878 | + | 24.8797i | −1.91152 | + | 1.02082i | ||||
\(595\) | −7.14292 | + | 4.61578i | −0.292831 | + | 0.189229i | ||||
\(596\) | 26.1841 | + | 8.50772i | 1.07254 | + | 0.348490i | ||||
\(597\) | 19.9313 | + | 11.3373i | 0.815734 | + | 0.464005i | ||||
\(598\) | 0.0810912 | − | 0.0311280i | 0.00331607 | − | 0.00127292i | ||||
\(599\) | −4.33370 | − | 7.50620i | −0.177070 | − | 0.306695i | 0.763805 | − | 0.645447i | \(-0.223329\pi\) |
−0.940876 | + | 0.338752i | \(0.889995\pi\) | |||||||
\(600\) | 4.46412 | − | 2.11645i | 0.182247 | − | 0.0864038i | ||||
\(601\) | 1.67640 | 0.0683816 | 0.0341908 | − | 0.999415i | \(-0.489115\pi\) | ||||
0.0341908 | + | 0.999415i | \(0.489115\pi\) | |||||||
\(602\) | −8.63181 | − | 18.6196i | −0.351806 | − | 0.758879i | ||||
\(603\) | −11.2390 | + | 22.7764i | −0.457688 | + | 0.927527i | ||||
\(604\) | −6.73879 | + | 6.06763i | −0.274197 | + | 0.246888i | ||||
\(605\) | −30.1711 | − | 22.7365i | −1.22663 | − | 0.924368i | ||||
\(606\) | 8.13610 | + | 20.7951i | 0.330507 | + | 0.844743i | ||||
\(607\) | 5.82289 | − | 1.56024i | 0.236344 | − | 0.0633281i | −0.138703 | − | 0.990334i | \(-0.544293\pi\) |
0.375047 | + | 0.927006i | \(0.377627\pi\) | |||||||
\(608\) | −25.1053 | + | 49.2719i | −1.01815 | + | 1.99824i | ||||
\(609\) | 1.53578 | + | 2.53190i | 0.0622328 | + | 0.102598i | ||||
\(610\) | −21.7431 | + | 53.8130i | −0.880352 | + | 2.17882i | ||||
\(611\) | −0.140167 | + | 0.0147322i | −0.00567057 | + | 0.000596001i | ||||
\(612\) | 1.81018 | − | 7.12027i | 0.0731721 | − | 0.287820i | ||||
\(613\) | −16.1832 | − | 19.9846i | −0.653634 | − | 0.807170i | 0.337318 | − | 0.941391i | \(-0.390480\pi\) |
−0.990952 | + | 0.134220i | \(0.957147\pi\) | |||||||
\(614\) | 2.17171 | + | 20.6624i | 0.0876430 | + | 0.833868i | ||||
\(615\) | −9.94370 | + | 0.934153i | −0.400969 | + | 0.0376687i | ||||
\(616\) | −4.23943 | + | 6.75086i | −0.170812 | + | 0.272000i | ||||
\(617\) | −29.5439 | − | 15.0534i | −1.18939 | − | 0.606026i | −0.256628 | − | 0.966510i | \(-0.582612\pi\) |
−0.932766 | + | 0.360484i | \(0.882612\pi\) | |||||||
\(618\) | −6.11290 | + | 29.6954i | −0.245897 | + | 1.19453i | ||||
\(619\) | −13.4743 | − | 12.1323i | −0.541576 | − | 0.487638i | 0.352339 | − | 0.935872i | \(-0.385386\pi\) |
−0.893916 | + | 0.448235i | \(0.852053\pi\) | |||||||
\(620\) | 3.87916 | + | 1.33579i | 0.155791 | + | 0.0536464i | ||||
\(621\) | 2.78883 | − | 3.58291i | 0.111912 | − | 0.143777i | ||||
\(622\) | 45.1218 | − | 22.9907i | 1.80922 | − | 0.921844i | ||||
\(623\) | −17.8484 | + | 8.27426i | −0.715079 | + | 0.331501i | ||||
\(624\) | 0.360287 | + | 0.180670i | 0.0144230 | + | 0.00723261i | ||||
\(625\) | 17.9848 | − | 17.3651i | 0.719394 | − | 0.694602i | ||||
\(626\) | 45.8955 | − | 26.4978i | 1.83435 | − | 1.05906i | ||||
\(627\) | −6.59421 | + | 66.8681i | −0.263347 | + | 2.67045i | ||||
\(628\) | 5.48385 | + | 0.287396i | 0.218829 | + | 0.0114684i | ||||
\(629\) | 4.10799 | − | 12.6431i | 0.163796 | − | 0.504113i | ||||
\(630\) | 26.7702 | + | 21.2127i | 1.06655 | + | 0.845136i | ||||
\(631\) | −2.14431 | − | 6.59951i | −0.0853636 | − | 0.262722i | 0.899259 | − | 0.437416i | \(-0.144106\pi\) |
−0.984623 | + | 0.174694i | \(0.944106\pi\) | |||||||
\(632\) | −2.12407 | − | 7.92712i | −0.0844908 | − | 0.315324i | ||||
\(633\) | −10.9019 | − | 4.77018i | −0.433311 | − | 0.189597i | ||||
\(634\) | 51.0434 | + | 5.36488i | 2.02719 | + | 0.213067i | ||||
\(635\) | 2.10134 | − | 0.0733392i | 0.0833889 | − | 0.00291038i | ||||
\(636\) | −5.53097 | + | 0.912471i | −0.219317 | + | 0.0361818i | ||||
\(637\) | 0.247776 | − | 0.263335i | 0.00981725 | − | 0.0104337i | ||||
\(638\) | −1.02749 | − | 6.48729i | −0.0406785 | − | 0.256834i | ||||
\(639\) | −10.0152 | + | 9.25344i | −0.396197 | + | 0.366060i | ||||
\(640\) | 1.40445 | + | 9.99461i | 0.0555158 | + | 0.395071i | ||||
\(641\) | −11.7676 | − | 1.23683i | −0.464793 | − | 0.0488517i | −0.130762 | − | 0.991414i | \(-0.541742\pi\) |
−0.334031 | + | 0.942562i | \(0.608409\pi\) | |||||||
\(642\) | 55.0682 | − | 6.14573i | 2.17337 | − | 0.242552i | ||||
\(643\) | 2.65198 | − | 2.65198i | 0.104584 | − | 0.104584i | −0.652879 | − | 0.757462i | \(-0.726439\pi\) |
0.757462 | + | 0.652879i | \(0.226439\pi\) | |||||||
\(644\) | −0.556840 | + | 3.89881i | −0.0219426 | + | 0.153635i | ||||
\(645\) | −15.5796 | − | 0.989232i | −0.613446 | − | 0.0389510i | ||||
\(646\) | −13.5966 | − | 15.1006i | −0.534953 | − | 0.594125i | ||||
\(647\) | 14.0016 | − | 21.5606i | 0.550460 | − | 0.847635i | −0.448474 | − | 0.893796i | \(-0.648032\pi\) |
0.998934 | + | 0.0461615i | \(0.0146989\pi\) | |||||||
\(648\) | 5.11861 | − | 0.400317i | 0.201078 | − | 0.0157259i | ||||
\(649\) | 44.5966 | + | 25.7479i | 1.75057 | + | 1.01069i | ||||
\(650\) | 0.492192 | + | 0.0691926i | 0.0193054 | + | 0.00271396i | ||||
\(651\) | −0.621988 | − | 4.89619i | −0.0243776 | − | 0.191897i | ||||
\(652\) | 24.0139 | + | 3.80343i | 0.940456 | + | 0.148954i | ||||
\(653\) | −1.65709 | + | 31.6191i | −0.0648468 | + | 1.23735i | 0.751478 | + | 0.659758i | \(0.229341\pi\) |
−0.816325 | + | 0.577593i | \(0.803992\pi\) | |||||||
\(654\) | −12.5878 | + | 48.2149i | −0.492223 | + | 1.88535i | ||||
\(655\) | 0.481493 | − | 27.5539i | 0.0188135 | − | 1.07662i | ||||
\(656\) | 2.41537 | − | 11.3634i | 0.0943042 | − | 0.443667i | ||||
\(657\) | −1.98580 | + | 13.6722i | −0.0774734 | + | 0.533403i | ||||
\(658\) | 5.45693 | − | 12.7762i | 0.212733 | − | 0.498067i | ||||
\(659\) | −0.795589 | − | 0.578029i | −0.0309918 | − | 0.0225168i | 0.572182 | − | 0.820127i | \(-0.306097\pi\) |
−0.603173 | + | 0.797610i | \(0.706097\pi\) | |||||||
\(660\) | −17.0891 | − | 30.3694i | −0.665194 | − | 1.18213i | ||||
\(661\) | −21.3905 | − | 9.52367i | −0.831995 | − | 0.370428i | −0.0538779 | − | 0.998548i | \(-0.517158\pi\) |
−0.778117 | + | 0.628120i | \(0.783825\pi\) | |||||||
\(662\) | −21.3606 | − | 26.3781i | −0.830202 | − | 1.02521i | ||||
\(663\) | −0.0950223 | + | 0.0866699i | −0.00369036 | + | 0.00336598i | ||||
\(664\) | −1.03333 | − | 1.42226i | −0.0401011 | − | 0.0551944i | ||||
\(665\) | 41.3573 | − | 13.3347i | 1.60377 | − | 0.517098i | ||||
\(666\) | −53.3859 | + | 0.685764i | −2.06866 | + | 0.0265728i | ||||
\(667\) | 0.307528 | + | 0.473552i | 0.0119075 | + | 0.0183360i | ||||
\(668\) | −3.96204 | + | 14.7865i | −0.153296 | + | 0.572107i | ||||
\(669\) | 9.86806 | − | 3.86089i | 0.381521 | − | 0.149271i | ||||
\(670\) | −33.0181 | − | 15.3974i | −1.27560 | − | 0.594853i | ||||
\(671\) | −67.7486 | − | 22.0129i | −2.61541 | − | 0.849797i | ||||
\(672\) | −28.5217 | + | 19.4123i | −1.10025 | + | 0.748846i | ||||
\(673\) | 6.74351 | − | 42.5769i | 0.259943 | − | 1.64122i | −0.419691 | − | 0.907667i | \(-0.637862\pi\) |
0.679634 | − | 0.733551i | \(-0.262138\pi\) | |||||||
\(674\) | −25.7214 | + | 44.5508i | −0.990751 | + | 1.71603i | ||||
\(675\) | 23.8974 | − | 10.1939i | 0.919810 | − | 0.392364i | ||||
\(676\) | −11.0709 | − | 19.1754i | −0.425805 | − | 0.737516i | ||||
\(677\) | −10.4203 | − | 8.43815i | −0.400483 | − | 0.324305i | 0.407830 | − | 0.913058i | \(-0.366286\pi\) |
−0.808313 | + | 0.588753i | \(0.799619\pi\) | |||||||
\(678\) | 25.1606 | − | 0.161592i | 0.966285 | − | 0.00620591i | ||||
\(679\) | −35.1676 | − | 34.1134i | −1.34961 | − | 1.30915i | ||||
\(680\) | −1.78672 | − | 0.412533i | −0.0685175 | − | 0.0158199i | ||||
\(681\) | −7.02085 | − | 5.61110i | −0.269040 | − | 0.215018i | ||||
\(682\) | −2.83333 | + | 10.5741i | −0.108494 | + | 0.404904i | ||||
\(683\) | −48.0322 | + | 2.51726i | −1.83790 | + | 0.0963203i | −0.939436 | − | 0.342726i | \(-0.888650\pi\) |
−0.898465 | + | 0.439046i | \(0.855317\pi\) | |||||||
\(684\) | −18.3501 | + | 32.7476i | −0.701634 | + | 1.25214i | ||||
\(685\) | −1.33763 | − | 1.12245i | −0.0511080 | − | 0.0428864i | ||||
\(686\) | 10.7861 | + | 33.9703i | 0.411816 | + | 1.29699i | ||||
\(687\) | 33.7838 | + | 10.7376i | 1.28893 | + | 0.409667i | ||||
\(688\) | 6.50739 | − | 16.9523i | 0.248092 | − | 0.646302i | ||||
\(689\) | 0.0896491 | + | 0.0399144i | 0.00341536 | + | 0.00152062i | ||||
\(690\) | 5.22630 | + | 3.88608i | 0.198962 | + | 0.147941i | ||||
\(691\) | −16.2385 | + | 7.22987i | −0.617743 | + | 0.275037i | −0.691655 | − | 0.722228i | \(-0.743118\pi\) |
0.0739120 | + | 0.997265i | \(0.476452\pi\) | |||||||
\(692\) | −35.4072 | − | 18.0409i | −1.34598 | − | 0.685810i | ||||
\(693\) | −23.6795 | + | 34.5931i | −0.899509 | + | 1.31408i | ||||
\(694\) | 41.5568 | − | 13.5026i | 1.57747 | − | 0.512552i | ||||
\(695\) | 18.1493 | + | 16.9252i | 0.688443 | + | 0.642008i | ||||
\(696\) | −0.161292 | + | 0.617794i | −0.00611376 | + | 0.0234174i | ||||
\(697\) | 3.10898 | + | 2.01899i | 0.117761 | + | 0.0764748i | ||||
\(698\) | 39.7633 | − | 49.1035i | 1.50506 | − | 1.85860i | ||||
\(699\) | 6.11667 | − | 12.1977i | 0.231354 | − | 0.461358i | ||||
\(700\) | −13.6035 | + | 17.9672i | −0.514164 | + | 0.679097i | ||||
\(701\) | 7.57605i | 0.286143i | 0.989712 | + | 0.143072i | \(0.0456979\pi\) | ||||
−0.989712 | + | 0.143072i | \(0.954302\pi\) | |||||||
\(702\) | 0.452221 | + | 0.249599i | 0.0170680 | + | 0.00942051i | ||||
\(703\) | −36.9943 | + | 56.9663i | −1.39527 | + | 2.14852i | ||||
\(704\) | 28.3048 | − | 6.01636i | 1.06678 | − | 0.226750i | ||||
\(705\) | −6.55923 | − | 8.28553i | −0.247035 | − | 0.312051i | ||||
\(706\) | −1.13199 | − | 3.48390i | −0.0426029 | − | 0.131118i | ||||
\(707\) | 13.3506 | + | 11.6581i | 0.502102 | + | 0.438447i | ||||
\(708\) | 17.0592 | + | 23.1657i | 0.641125 | + | 0.870619i | ||||
\(709\) | −4.51069 | − | 10.1312i | −0.169403 | − | 0.380484i | 0.808816 | − | 0.588062i | \(-0.200109\pi\) |
−0.978219 | + | 0.207577i | \(0.933442\pi\) | |||||||
\(710\) | −13.5867 | − | 14.0699i | −0.509898 | − | 0.528036i | ||||
\(711\) | −9.51450 | − | 42.0960i | −0.356822 | − | 1.57872i | ||||
\(712\) | −3.96011 | − | 1.52014i | −0.148411 | − | 0.0569697i | ||||
\(713\) | −0.147220 | − | 0.929508i | −0.00551342 | − | 0.0348104i | ||||
\(714\) | −2.90350 | − | 12.3406i | −0.108661 | − | 0.461835i | ||||
\(715\) | −0.0425656 | + | 0.608546i | −0.00159186 | + | 0.0227583i | ||||
\(716\) | −1.32313 | − | 2.97179i | −0.0494476 | − | 0.111061i | ||||
\(717\) | −33.1527 | − | 14.5062i | −1.23811 | − | 0.541742i | ||||
\(718\) | −3.59934 | − | 0.964441i | −0.134326 | − | 0.0359926i | ||||
\(719\) | 3.15872 | + | 0.671408i | 0.117801 | + | 0.0250393i | 0.266435 | − | 0.963853i | \(-0.414154\pi\) |
−0.148634 | + | 0.988892i | \(0.547488\pi\) | |||||||
\(720\) | 3.01976 | + | 30.0691i | 0.112540 | + | 1.12061i | ||||
\(721\) | 6.58135 | + | 23.1472i | 0.245102 | + | 0.862048i | ||||
\(722\) | 30.5353 | + | 59.9289i | 1.13641 | + | 2.23032i | ||||
\(723\) | 42.5308 | − | 19.2641i | 1.58174 | − | 0.716441i | ||||
\(724\) | −13.8722 | + | 8.00909i | −0.515554 | + | 0.297656i | ||||
\(725\) | 0.225258 | + | 3.22315i | 0.00836588 | + | 0.119705i | ||||
\(726\) | 47.0329 | − | 30.9748i | 1.74555 | − | 1.14958i | ||||
\(727\) | −7.34663 | − | 1.16359i | −0.272472 | − | 0.0431552i | 0.0187034 | − | 0.999825i | \(-0.494046\pi\) |
−0.291175 | + | 0.956670i | \(0.594046\pi\) | |||||||
\(728\) | 0.0779535 | − | 0.00118624i | 0.00288915 | − | 4.39649e-5i | ||||
\(729\) | 26.9800 | − | 1.04016i | 0.999258 | − | 0.0385246i | ||||
\(730\) | −19.6696 | − | 2.41551i | −0.728004 | − | 0.0894020i | ||||
\(731\) | 4.30599 | + | 3.87713i | 0.159263 | + | 0.143401i | ||||
\(732\) | −29.7453 | − | 26.4389i | −1.09942 | − | 0.977209i | ||||
\(733\) | 27.3010 | − | 17.7294i | 1.00838 | − | 0.654852i | 0.0689633 | − | 0.997619i | \(-0.478031\pi\) |
0.939420 | + | 0.342767i | \(0.111364\pi\) | |||||||
\(734\) | −26.0617 | − | 18.9350i | −0.961956 | − | 0.698902i | ||||
\(735\) | 26.6227 | + | 5.12167i | 0.981993 | + | 0.188916i | ||||
\(736\) | −5.32217 | + | 3.86679i | −0.196178 | + | 0.142532i | ||||
\(737\) | 16.0243 | − | 41.7448i | 0.590263 | − | 1.53769i | ||||
\(738\) | 3.66832 | − | 14.4292i | 0.135033 | − | 0.531146i | ||||
\(739\) | −4.65620 | + | 10.4580i | −0.171281 | + | 0.384704i | −0.978706 | − | 0.205266i | \(-0.934194\pi\) |
0.807425 | + | 0.589970i | \(0.200861\pi\) | |||||||
\(740\) | −1.22872 | − | 35.2056i | −0.0451686 | − | 1.29418i | ||||
\(741\) | 0.583590 | − | 0.302091i | 0.0214387 | − | 0.0110976i | ||||
\(742\) | −7.73839 | + | 5.80419i | −0.284085 | + | 0.213079i | ||||
\(743\) | 33.1914 | + | 33.1914i | 1.21767 | + | 1.21767i | 0.968445 | + | 0.249228i | \(0.0801770\pi\) |
0.249228 | + | 0.968445i | \(0.419823\pi\) | |||||||
\(744\) | 0.664391 | − | 0.831315i | 0.0243578 | − | 0.0304775i | ||||
\(745\) | 11.7658 | − | 34.1683i | 0.431066 | − | 1.25183i | ||||
\(746\) | −9.75245 | − | 45.8817i | −0.357063 | − | 1.67985i | ||||
\(747\) | −5.13439 | − | 7.68824i | −0.187857 | − | 0.281298i | ||||
\(748\) | −2.02336 | + | 12.7750i | −0.0739813 | + | 0.467099i | ||||
\(749\) | 36.5170 | − | 24.5123i | 1.33430 | − | 0.895662i | ||||
\(750\) | 15.3743 | + | 33.9481i | 0.561388 | + | 1.23961i | ||||
\(751\) | −18.8578 | + | 32.6627i | −0.688132 | + | 1.19188i | 0.284309 | + | 0.958733i | \(0.408236\pi\) |
−0.972441 | + | 0.233147i | \(0.925098\pi\) | |||||||
\(752\) | 11.4756 | − | 4.40506i | 0.418471 | − | 0.160636i | ||||
\(753\) | 33.6203 | − | 19.6997i | 1.22519 | − | 0.717896i | ||||
\(754\) | −0.0477370 | + | 0.0429826i | −0.00173848 | + | 0.00156533i | ||||
\(755\) | 7.80848 | + | 8.98299i | 0.284180 | + | 0.326924i | ||||
\(756\) | −19.8667 | + | 12.4024i | −0.722545 | + | 0.451071i | ||||
\(757\) | 26.0110 | + | 26.0110i | 0.945386 | + | 0.945386i | 0.998584 | − | 0.0531980i | \(-0.0169415\pi\) |
−0.0531980 | + | 0.998584i | \(0.516941\pi\) | |||||||
\(758\) | 17.0051 | + | 26.1856i | 0.617653 | + | 0.951103i | ||||
\(759\) | −4.31039 | + | 6.73168i | −0.156457 | + | 0.244345i | ||||
\(760\) | 8.27264 | + | 4.39884i | 0.300080 | + | 0.159563i | ||||
\(761\) | −41.4634 | + | 4.35798i | −1.50305 | + | 0.157977i | −0.819985 | − | 0.572385i | \(-0.806018\pi\) |
−0.683061 | + | 0.730361i | \(0.739352\pi\) | |||||||
\(762\) | −0.949399 | + | 2.98709i | −0.0343931 | + | 0.108211i | ||||
\(763\) | 8.81122 | + | 38.5589i | 0.318987 | + | 1.39593i | ||||
\(764\) | −15.7248 | + | 11.4247i | −0.568902 | + | 0.413331i | ||||
\(765\) | −9.30298 | − | 2.53893i | −0.336350 | − | 0.0917952i | ||||
\(766\) | 1.75569 | − | 16.7042i | 0.0634356 | − | 0.603549i | ||||
\(767\) | −0.0263579 | − | 0.502939i | −0.000951728 | − | 0.0181601i | ||||
\(768\) | −33.3257 | − | 6.86021i | −1.20254 | − | 0.247546i | ||||
\(769\) | −0.604855 | + | 0.196529i | −0.0218116 | + | 0.00708703i | −0.319902 | − | 0.947450i | \(-0.603650\pi\) |
0.298091 | + | 0.954537i | \(0.403650\pi\) | |||||||
\(770\) | −50.3573 | − | 32.8642i | −1.81475 | − | 1.18434i | ||||
\(771\) | 31.4533 | − | 31.8599i | 1.13276 | − | 1.14741i | ||||
\(772\) | 1.27694 | − | 24.3654i | 0.0459579 | − | 0.876929i | ||||
\(773\) | −4.19540 | − | 10.9294i | −0.150898 | − | 0.393103i | 0.837206 | − | 0.546887i | \(-0.184187\pi\) |
−0.988104 | + | 0.153784i | \(0.950854\pi\) | |||||||
\(774\) | 9.19134 | − | 21.3790i | 0.330376 | − | 0.768451i | ||||
\(775\) | 1.84202 | − | 5.06028i | 0.0661672 | − | 0.181771i | ||||
\(776\) | − | 10.5641i | − | 0.379230i | ||||||
\(777\) | −37.3340 | + | 20.0517i | −1.33935 | + | 0.719351i | ||||
\(778\) | −6.42767 | − | 12.6150i | −0.230443 | − | 0.452270i | ||||
\(779\) | −12.6741 | − | 14.0760i | −0.454096 | − | 0.504325i | ||||
\(780\) | −0.158069 | + | 0.301933i | −0.00565979 | + | 0.0108110i | ||||
\(781\) | 16.0631 | − | 17.8399i | 0.574784 | − | 0.638363i | ||||
\(782\) | −0.625648 | − | 2.33495i | −0.0223731 | − | 0.0834976i | ||||
\(783\) | −0.975889 | + | 3.21282i | −0.0348754 | + | 0.114817i | ||||
\(784\) | −14.9292 | + | 27.7772i | −0.533185 | + | 0.992042i | ||||
\(785\) | 0.502935 | − | 7.19029i | 0.0179505 | − | 0.256632i | ||||
\(786\) | 38.4457 | + | 14.4753i | 1.37131 | + | 0.516318i | ||||
\(787\) | −8.55933 | + | 6.93121i | −0.305107 | + | 0.247071i | −0.769630 | − | 0.638490i | \(-0.779559\pi\) |
0.464523 | + | 0.885561i | \(0.346226\pi\) | |||||||
\(788\) | 10.6817 | − | 8.64989i | 0.380521 | − | 0.308140i | ||||
\(789\) | −39.1108 | − | 14.7257i | −1.39238 | − | 0.524250i | ||||
\(790\) | 60.0676 | − | 14.9753i | 2.13711 | − | 0.532797i | ||||
\(791\) | 17.6546 | − | 9.33651i | 0.627725 | − | 0.331968i | ||||
\(792\) | −8.90880 | + | 1.52856i | −0.316560 | + | 0.0543151i | ||||
\(793\) | 0.180314 | + | 0.672941i | 0.00640314 | + | 0.0238968i | ||||
\(794\) | 36.1109 | − | 40.1053i | 1.28153 | − | 1.42328i | ||||
\(795\) | 1.07066 | + | 7.27965i | 0.0379725 | + | 0.258183i | ||||
\(796\) | −15.0910 | − | 16.7602i | −0.534885 | − | 0.594050i | ||||
\(797\) | −20.0488 | − | 39.3480i | −0.710165 | − | 1.39378i | −0.910275 | − | 0.414003i | \(-0.864130\pi\) |
0.200111 | − | 0.979773i | \(-0.435870\pi\) | |||||||
\(798\) | −1.98970 | + | 64.7456i | −0.0704348 | + | 2.29197i | ||||
\(799\) | 3.92233i | 0.138762i | ||||||||
\(800\) | −37.3634 | + | 4.58617i | −1.32100 | + | 0.162146i | ||||
\(801\) | −20.4934 | − | 8.81061i | −0.724099 | − | 0.311308i | ||||
\(802\) | −13.9796 | − | 36.4180i | −0.493635 | − | 1.28596i | ||||
\(803\) | 1.27296 | − | 24.2895i | 0.0449218 | − | 0.857160i | ||||
\(804\) | 17.5503 | − | 17.7772i | 0.618950 | − | 0.626952i | ||||
\(805\) | 5.10394 | + | 0.820196i | 0.179890 | + | 0.0289081i | ||||
\(806\) | 0.101823 | − | 0.0330843i | 0.00358656 | − | 0.00116534i | ||||
\(807\) | −16.3941 | − | 3.37479i | −0.577101 | − | 0.118798i | ||||
\(808\) | 0.200011 | + | 3.81643i | 0.00703635 | + | 0.134261i | ||||
\(809\) | −4.59484 | + | 43.7170i | −0.161546 | + | 1.53701i | 0.550477 | + | 0.834850i | \(0.314446\pi\) |
−0.712023 | + | 0.702156i | \(0.752221\pi\) | |||||||
\(810\) | 2.34464 | + | 38.6581i | 0.0823823 | + | 1.35831i | ||||
\(811\) | −20.4208 | + | 14.8365i | −0.717070 | + | 0.520982i | −0.885447 | − | 0.464741i | \(-0.846147\pi\) |
0.168377 | + | 0.985723i | \(0.446147\pi\) | |||||||
\(812\) | −0.648836 | − | 2.83938i | −0.0227697 | − | 0.0996428i | ||||
\(813\) | −4.15789 | + | 13.0820i | −0.145824 | + | 0.458804i | ||||
\(814\) | 93.4804 | − | 9.82519i | 3.27649 | − | 0.344373i | ||||
\(815\) | 5.54225 | − | 31.4281i | 0.194136 | − | 1.10088i | ||||
\(816\) | 6.04858 | − | 9.44626i | 0.211743 | − | 0.330685i | ||||
\(817\) | −16.1246 | − | 24.8296i | −0.564127 | − | 0.868679i | ||||
\(818\) | −28.0799 | − | 28.0799i | −0.981790 | − | 0.981790i | ||||
\(819\) | 0.409870 | + | 0.00996143i | 0.0143220 | + | 0.000348080i | ||||
\(820\) | 9.57144 | + | 2.20994i | 0.334249 | + | 0.0771744i | ||||
\(821\) | 21.5779 | − | 19.4289i | 0.753075 | − | 0.678072i | −0.200342 | − | 0.979726i | \(-0.564205\pi\) |
0.953418 | + | 0.301654i | \(0.0975387\pi\) | |||||||
\(822\) | 2.24586 | − | 1.31595i | 0.0783332 | − | 0.0458990i | ||||
\(823\) | 16.1112 | − | 6.18452i | 0.561602 | − | 0.215579i | −0.0609723 | − | 0.998139i | \(-0.519420\pi\) |
0.622574 | + | 0.782561i | \(0.286087\pi\) | |||||||
\(824\) | −2.59438 | + | 4.49360i | −0.0903796 | + | 0.156542i | ||||
\(825\) | −40.2481 | + | 21.7310i | −1.40126 | + | 0.756575i | ||||
\(826\) | 44.5709 | + | 21.8622i | 1.55082 | + | 0.760684i | ||||
\(827\) | 1.30460 | − | 8.23691i | 0.0453653 | − | 0.286425i | −0.954568 | − | 0.297994i | \(-0.903682\pi\) |
0.999933 | + | 0.0115686i | \(0.00368248\pi\) | |||||||
\(828\) | −3.71370 | + | 2.48010i | −0.129060 | + | 0.0861893i | ||||
\(829\) | −3.28592 | − | 15.4590i | −0.114125 | − | 0.536914i | −0.997649 | − | 0.0685293i | \(-0.978169\pi\) |
0.883524 | − | 0.468385i | \(-0.155164\pi\) | |||||||
\(830\) | 10.8631 | − | 7.60611i | 0.377064 | − | 0.264012i | ||||
\(831\) | 7.41970 | − | 9.28385i | 0.257387 | − | 0.322053i | ||||
\(832\) | −0.200115 | − | 0.200115i | −0.00693773 | − | 0.00693773i | ||||
\(833\) | −6.56766 | − | 7.62386i | −0.227556 | − | 0.264151i | ||||
\(834\) | −32.8530 | + | 17.0061i | −1.13761 | + | 0.588873i | ||||
\(835\) | 19.3146 | + | 5.53879i | 0.668410 | + | 0.191678i | ||||
\(836\) | 26.8802 | − | 60.3740i | 0.929672 | − | 2.08808i | ||||
\(837\) | 3.66389 | − | 4.23029i | 0.126643 | − | 0.146220i | ||||
\(838\) | −11.4511 | + | 29.8312i | −0.395573 | + | 1.03050i | ||||
\(839\) | −22.6132 | + | 16.4294i | −0.780693 | + | 0.567207i | −0.905187 | − | 0.425014i | \(-0.860269\pi\) |
0.124494 | + | 0.992220i | \(0.460269\pi\) | |||||||
\(840\) | 3.20413 | + | 4.88922i | 0.110553 | + | 0.168694i | ||||
\(841\) | 23.1237 | + | 16.8003i | 0.797368 | + | 0.579322i | ||||
\(842\) | 30.0094 | − | 19.4883i | 1.03419 | − | 0.671612i | ||||
\(843\) | 1.58411 | + | 1.40802i | 0.0545596 | + | 0.0484948i | ||||
\(844\) | 8.69787 | + | 7.83160i | 0.299393 | + | 0.269575i | ||||
\(845\) | −25.4193 | + | 14.0895i | −0.874450 | + | 0.484693i | ||||
\(846\) | 14.9181 | − | 5.05995i | 0.512896 | − | 0.173965i | ||||
\(847\) | 21.7587 | − | 39.0474i | 0.747636 | − | 1.34168i | ||||
\(848\) | −8.45329 | − | 1.33887i | −0.290287 | − | 0.0459770i | ||||
\(849\) | −22.7993 | + | 15.0151i | −0.782470 | + | 0.515316i | ||||
\(850\) | 3.34687 | − | 13.4213i | 0.114797 | − | 0.460348i | ||||
\(851\) | −6.99793 | + | 4.04026i | −0.239886 | + | 0.138498i | ||||
\(852\) | 12.2167 | − | 5.53350i | 0.418536 | − | 0.189574i | ||||
\(853\) | 17.6356 | + | 34.6118i | 0.603831 | + | 1.18509i | 0.967337 | + | 0.253494i | \(0.0815797\pi\) |
−0.363506 | + | 0.931592i | \(0.618420\pi\) | |||||||
\(854\) | −66.5962 | − | 16.7626i | −2.27888 | − | 0.573606i | ||||
\(855\) | 42.5564 | + | 24.8333i | 1.45540 | + | 0.849280i | ||||
\(856\) | 9.27590 | + | 1.97165i | 0.317044 | + | 0.0673897i | ||||
\(857\) | 11.1189 | + | 2.97931i | 0.379815 | + | 0.101771i | 0.443675 | − | 0.896188i | \(-0.353674\pi\) |
−0.0638598 | + | 0.997959i | \(0.520341\pi\) | |||||||
\(858\) | −0.833107 | − | 0.364530i | −0.0284418 | − | 0.0124449i | ||||
\(859\) | 8.67549 | + | 19.4855i | 0.296004 | + | 0.664836i | 0.998921 | − | 0.0464359i | \(-0.0147863\pi\) |
−0.702917 | + | 0.711271i | \(0.748120\pi\) | |||||||
\(860\) | 14.2361 | + | 5.75208i | 0.485447 | + | 0.196144i | ||||
\(861\) | −2.70649 | − | 11.5032i | −0.0922370 | − | 0.392030i | ||||
\(862\) | −8.89913 | − | 56.1869i | −0.303106 | − | 1.91373i | ||||
\(863\) | 5.53273 | + | 2.12382i | 0.188336 | + | 0.0722956i | 0.450708 | − | 0.892671i | \(-0.351171\pi\) |
−0.262372 | + | 0.964967i | \(0.584505\pi\) | |||||||
\(864\) | −37.9756 | − | 9.39526i | −1.29196 | − | 0.319633i | ||||
\(865\) | −24.4884 | + | 46.0538i | −0.832631 | + | 1.56588i | ||||
\(866\) | −21.1713 | − | 47.5516i | −0.719432 | − | 1.61587i | ||||
\(867\) | −15.3375 | − | 20.8277i | −0.520889 | − | 0.707344i | ||||
\(868\) | −0.936919 | + | 4.76311i | −0.0318011 | + | 0.161671i | ||||
\(869\) | 23.4793 | + | 72.2619i | 0.796482 | + | 2.45132i | ||||
\(870\) | −4.63824 | − | 1.29791i | −0.157251 | − | 0.0440034i | ||||
\(871\) | −0.427754 | + | 0.0909218i | −0.0144939 | + | 0.00308077i | ||||
\(872\) | −4.64484 | + | 7.15243i | −0.157294 | + | 0.242212i | ||||
\(873\) | 2.19469 | − | 55.5115i | 0.0742789 | − | 1.87878i | ||||
\(874\) | 12.3513i | 0.417790i | ||||||||
\(875\) | 23.2678 | + | 18.2650i | 0.786595 | + | 0.617469i | ||||
\(876\) | 6.09115 | − | 12.1468i | 0.205801 | − | 0.410402i | ||||
\(877\) | −20.5413 | + | 25.3664i | −0.693632 | + | 0.856564i | −0.995299 | − | 0.0968492i | \(-0.969124\pi\) |
0.301667 | + | 0.953413i | \(0.402457\pi\) | |||||||
\(878\) | 17.3091 | + | 11.2407i | 0.584154 | + | 0.379354i | ||||
\(879\) | 4.08364 | − | 15.6415i | 0.137738 | − | 0.527574i | ||||
\(880\) | −10.1508 | − | 52.2266i | −0.342182 | − | 1.76056i | ||||
\(881\) | 30.8795 | − | 10.0334i | 1.04036 | − | 0.338033i | 0.261480 | − | 0.965209i | \(-0.415789\pi\) |
0.778877 | + | 0.627176i | \(0.215789\pi\) | |||||||
\(882\) | −20.5240 | + | 34.8144i | −0.691078 | + | 1.17226i | ||||
\(883\) | −17.0493 | − | 8.68704i | −0.573754 | − | 0.292342i | 0.142939 | − | 0.989732i | \(-0.454345\pi\) |
−0.716692 | + | 0.697389i | \(0.754345\pi\) | |||||||
\(884\) | 0.115560 | − | 0.0514508i | 0.00388672 | − | 0.00173048i | ||||
\(885\) | 30.7933 | − | 21.8569i | 1.03511 | − | 0.734711i | ||||
\(886\) | 72.2200 | + | 32.1544i | 2.42628 | + | 1.08025i | ||||
\(887\) | −0.739934 | + | 1.92759i | −0.0248445 | + | 0.0647223i | −0.945442 | − | 0.325791i | \(-0.894369\pi\) |
0.920597 | + | 0.390514i | \(0.127703\pi\) | |||||||
\(888\) | −8.70819 | − | 2.76776i | −0.292228 | − | 0.0928799i | ||||
\(889\) | 0.426528 | + | 2.45101i | 0.0143053 | + | 0.0822043i | ||||
\(890\) | 11.9871 | − | 29.6674i | 0.401808 | − | 0.994453i | ||||
\(891\) | −47.1307 | + | 6.18136i | −1.57894 | + | 0.207083i | ||||
\(892\) | −10.4079 | + | 0.545457i | −0.348483 | + | 0.0182632i | ||||
\(893\) | 5.18705 | − | 19.3583i | 0.173578 | − | 0.647802i | ||||
\(894\) | 42.0812 | + | 33.6315i | 1.40741 | + | 1.12481i | ||||
\(895\) | −3.93046 | + | 1.66829i | −0.131381 | + | 0.0557648i | ||||
\(896\) | −11.4867 | + | 3.26596i | −0.383743 | + | 0.109108i | ||||
\(897\) | 0.0781742 | 0.000502069i | 0.00261016 | 1.67636e-5i | ||||||
\(898\) | −25.5509 | − | 20.6907i | −0.852645 | − | 0.690458i | ||||
\(899\) | 0.347987 | + | 0.602732i | 0.0116060 | + | 0.0201022i | ||||
\(900\) | −25.4664 | + | 2.10880i | −0.848879 | + | 0.0702935i | ||||
\(901\) | 1.36552 | − | 2.36515i | 0.0454920 | − | 0.0787945i | ||||
\(902\) | −4.10032 | + | 25.8884i | −0.136526 | + | 0.861990i | ||||
\(903\) | −1.36559 | − | 18.4206i | −0.0454438 | − | 0.612999i | ||||
\(904\) | 4.09542 | + | 1.33068i | 0.136212 | + | 0.0442578i | ||||
\(905\) | 10.1928 | + | 18.3892i | 0.338821 | + | 0.611277i | ||||
\(906\) | −16.5230 | + | 6.46466i | −0.548941 | + | 0.214774i | ||||
\(907\) | 2.22596 | − | 8.30740i | 0.0739119 | − | 0.275843i | −0.919073 | − | 0.394088i | \(-0.871060\pi\) |
0.992984 | + | 0.118246i | \(0.0377270\pi\) | |||||||
\(908\) | 4.81450 | + | 7.41368i | 0.159775 | + | 0.246032i | ||||
\(909\) | 0.258139 | + | 20.0958i | 0.00856192 | + | 0.666535i | ||||
\(910\) | −0.00132716 | + | 0.588094i | −4.39951e−5 | + | 0.0194951i | ||||
\(911\) | 6.50646 | + | 8.95537i | 0.215569 | + | 0.296705i | 0.903083 | − | 0.429466i | \(-0.141298\pi\) |
−0.687514 | + | 0.726171i | \(0.741298\pi\) | |||||||
\(912\) | −42.3443 | + | 38.6223i | −1.40216 | + | 1.27891i | ||||
\(913\) | 10.2429 | + | 12.6490i | 0.338992 | + | 0.418620i | ||||
\(914\) | 9.28116 | + | 4.13224i | 0.306993 | + | 0.136682i | ||||
\(915\) | −35.3800 | + | 38.4308i | −1.16963 | + | 1.27048i | ||||
\(916\) | −28.2074 | − | 20.4939i | −0.931999 | − | 0.677137i | ||||
\(917\) | 32.3730 | − | 3.90141i | 1.06905 | − | 0.128836i | ||||
\(918\) | 8.22378 | − | 11.7902i | 0.271425 | − | 0.389136i | ||||
\(919\) | 11.4877 | − | 54.0454i | 0.378945 | − | 1.78279i | −0.213249 | − | 0.976998i | \(-0.568404\pi\) |
0.592193 | − | 0.805796i | \(-0.298262\pi\) | |||||||
\(920\) | 0.639301 | + | 0.913055i | 0.0210771 | + | 0.0301025i | ||||
\(921\) | −4.72355 | + | 18.0925i | −0.155646 | + | 0.596169i | ||||
\(922\) | 0.402635 | − | 7.68273i | 0.0132601 | − | 0.253017i | ||||
\(923\) | −0.231888 | − | 0.0367275i | −0.00763269 | − | 0.00120890i | ||||
\(924\) | 32.8252 | − | 24.9516i | 1.07987 | − | 0.820848i | ||||
\(925\) | −46.2312 | + | 0.805167i | −1.52007 | + | 0.0264737i | ||||
\(926\) | −31.7585 | − | 18.3358i | −1.04365 | − | 0.602551i | ||||
\(927\) | −14.5663 | + | 23.0736i | −0.478419 | + | 0.757837i | ||||
\(928\) | 2.64972 | − | 4.08021i | 0.0869814 | − | 0.133940i | ||||
\(929\) | −8.60919 | − | 9.56147i | −0.282458 | − | 0.313702i | 0.585174 | − | 0.810908i | \(-0.301026\pi\) |
−0.867633 | + | 0.497206i | \(0.834359\pi\) | |||||||
\(930\) | 6.18235 | + | 5.12051i | 0.202727 | + | 0.167908i | ||||
\(931\) | 22.3320 | + | 46.3122i | 0.731903 | + | 1.51782i | ||||
\(932\) | −9.49008 | + | 9.49008i | −0.310858 | + | 0.310858i | ||||
\(933\) | 45.2969 | − | 5.05523i | 1.48295 | − | 0.165501i | ||||
\(934\) | −10.0081 | − | 1.05189i | −0.327475 | − | 0.0344190i | ||||
\(935\) | 16.7192 | + | 2.94838i | 0.546776 | + | 0.0964223i | ||||
\(936\) | 0.0599909 | + | 0.0649297i | 0.00196086 | + | 0.00212229i | ||||
\(937\) | −3.78498 | − | 23.8974i | −0.123650 | − | 0.780695i | −0.969105 | − | 0.246648i | \(-0.920671\pi\) |
0.845455 | − | 0.534047i | \(-0.179329\pi\) | |||||||
\(938\) | 12.6954 | − | 41.1948i | 0.414519 | − | 1.34506i | ||||
\(939\) | 47.0608 | − | 7.76384i | 1.53577 | − | 0.253363i | ||||
\(940\) | 3.55470 | + | 9.76704i | 0.115941 | + | 0.318566i | ||||
\(941\) | −22.9472 | − | 2.41184i | −0.748056 | − | 0.0786239i | −0.277174 | − | 0.960820i | \(-0.589398\pi\) |
−0.470882 | + | 0.882196i | \(0.656064\pi\) | |||||||
\(942\) | 9.84359 | + | 4.30711i | 0.320721 | + | 0.140333i | ||||
\(943\) | −0.583196 | − | 2.17652i | −0.0189915 | − | 0.0708772i | ||||
\(944\) | 13.5732 | + | 41.7741i | 0.441771 | + | 1.35963i | ||||
\(945\) | 15.8210 | + | 26.3571i | 0.514658 | + | 0.857395i | ||||
\(946\) | −12.6602 | + | 38.9642i | −0.411619 | + | 1.26683i | ||||
\(947\) | −28.7258 | − | 1.50545i | −0.933462 | − | 0.0489206i | −0.420463 | − | 0.907310i | \(-0.638132\pi\) |
−0.512999 | + | 0.858389i | \(0.671466\pi\) | |||||||
\(948\) | −4.16583 | + | 42.2433i | −0.135300 | + | 1.37200i | ||||
\(949\) | −0.206008 | + | 0.118939i | −0.00668731 | + | 0.00386092i | ||||
\(950\) | −34.2671 | + | 61.8138i | −1.11177 | + | 2.00550i | ||||
\(951\) | 41.2921 | + | 20.7064i | 1.33899 | + | 0.671451i | ||||
\(952\) | 0.193936 | − | 2.16101i | 0.00628551 | − | 0.0700386i | ||||
\(953\) | 19.9671 | − | 10.1737i | 0.646797 | − | 0.329559i | −0.0996324 | − | 0.995024i | \(-0.531767\pi\) |
0.746429 | + | 0.665465i | \(0.231767\pi\) | |||||||
\(954\) | −10.7571 | − | 2.14247i | −0.348275 | − | 0.0693650i | ||||
\(955\) | 14.6329 | + | 20.8988i | 0.473510 | + | 0.676270i | ||||
\(956\) | 26.4503 | + | 23.8160i | 0.855464 | + | 0.770264i | ||||
\(957\) | 1.19190 | − | 5.79004i | 0.0385286 | − | 0.187165i | ||||
\(958\) | −7.27858 | − | 3.70862i | −0.235160 | − | 0.119820i | ||||
\(959\) | 1.09878 | − | 1.74970i | 0.0354816 | − | 0.0565007i | ||||
\(960\) | 4.64088 | − | 20.7058i | 0.149784 | − | 0.668277i | ||||
\(961\) | 3.11913 | + | 29.6766i | 0.100617 | + | 0.957308i | ||||
\(962\) | −0.578518 | − | 0.714410i | −0.0186522 | − | 0.0230335i | ||||
\(963\) | 48.3325 | + | 12.2875i | 1.55749 | + | 0.395960i | ||||
\(964\) | −45.6708 | + | 4.80020i | −1.47096 | + | 0.154604i | ||||
\(965\) | −31.9473 | − | 2.23460i | −1.02842 | − | 0.0719343i | ||||
\(966\) | −3.70769 | + | 6.75538i | −0.119293 | + | 0.217351i | ||||
\(967\) | −2.09438 | + | 4.11046i | −0.0673509 | + | 0.132184i | −0.922227 | − | 0.386648i | \(-0.873633\pi\) |
0.854876 | + | 0.518832i | \(0.173633\pi\) | |||||||
\(968\) | 9.30980 | − | 2.49455i | 0.299228 | − | 0.0801780i | ||||
\(969\) | −6.66342 | − | 17.0311i | −0.214060 | − | 0.547117i | ||||
\(970\) | 79.6763 | + | 1.39231i | 2.55825 | + | 0.0447043i | ||||
\(971\) | 8.94848 | − | 8.05725i | 0.287170 | − | 0.258569i | −0.512937 | − | 0.858426i | \(-0.671443\pi\) |
0.800107 | + | 0.599857i | \(0.204776\pi\) | |||||||
\(972\) | −25.5067 | − | 7.39115i | −0.818129 | − | 0.237071i | ||||
\(973\) | −16.8959 | + | 24.0153i | −0.541657 | + | 0.769894i | ||||
\(974\) | −47.4492 | −1.52037 | ||||||||
\(975\) | 0.392626 | + | 0.214371i | 0.0125741 | + | 0.00686537i | ||||
\(976\) | −30.3804 | − | 52.6204i | −0.972453 | − | 1.68434i | ||||
\(977\) | 28.8648 | − | 11.0802i | 0.923467 | − | 0.354486i | 0.150265 | − | 0.988646i | \(-0.451987\pi\) |
0.773202 | + | 0.634160i | \(0.218654\pi\) | |||||||
\(978\) | 41.3507 | + | 23.5210i | 1.32225 | + | 0.752120i | ||||
\(979\) | 37.3502 | + | 12.1358i | 1.19372 | + | 0.387862i | ||||
\(980\) | −23.2635 | − | 13.0322i | −0.743124 | − | 0.416297i | ||||
\(981\) | −25.8932 | + | 36.6190i | −0.826707 | + | 1.16915i | ||||
\(982\) | 18.9534 | − | 5.07856i | 0.604828 | − | 0.162063i | ||||
\(983\) | −5.45526 | + | 0.285898i | −0.173996 | + | 0.00911873i | −0.139135 | − | 0.990273i | \(-0.544432\pi\) |
−0.0348608 | + | 0.999392i | \(0.511099\pi\) | |||||||
\(984\) | 1.37400 | − | 2.14583i | 0.0438016 | − | 0.0684064i | ||||
\(985\) | −11.1070 | − | 14.2168i | −0.353897 | − | 0.452986i | ||||
\(986\) | 1.05078 | + | 1.44628i | 0.0334637 | + | 0.0460588i | ||||
\(987\) | 8.64809 | − | 9.03069i | 0.275272 | − | 0.287450i | ||||
\(988\) | −0.638379 | + | 0.101109i | −0.0203095 | + | 0.00321672i | ||||
\(989\) | −0.368152 | − | 3.50273i | −0.0117065 | − | 0.111380i | ||||
\(990\) | −10.3545 | − | 67.3930i | −0.329088 | − | 2.14189i | ||||
\(991\) | 2.47470 | − | 23.5452i | 0.0786113 | − | 0.747937i | −0.882226 | − | 0.470825i | \(-0.843956\pi\) |
0.960838 | − | 0.277112i | \(-0.0893772\pi\) | |||||||
\(992\) | −6.80049 | + | 4.41629i | −0.215916 | + | 0.140217i | ||||
\(993\) | −9.62643 | − | 28.9922i | −0.305485 | − | 0.920040i | ||||
\(994\) | 14.2888 | − | 18.2048i | 0.453214 | − | 0.577420i | ||||
\(995\) | −22.3418 | + | 19.4207i | −0.708283 | + | 0.615677i | ||||
\(996\) | 2.40981 | + | 8.76789i | 0.0763577 | + | 0.277821i | ||||
\(997\) | −19.3525 | − | 12.5676i | −0.612899 | − | 0.398021i | 0.200528 | − | 0.979688i | \(-0.435734\pi\) |
−0.813427 | + | 0.581667i | \(0.802401\pi\) | |||||||
\(998\) | 23.1793 | + | 60.3842i | 0.733728 | + | 1.91143i | ||||
\(999\) | −45.1840 | − | 16.3529i | −1.42956 | − | 0.517382i |
(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 | 525.2.bs.a.2.13 | ✓ | 1216 | |
3.2 | odd | 2 | inner | 525.2.bs.a.2.64 | yes | 1216 | |
7.4 | even | 3 | inner | 525.2.bs.a.452.64 | yes | 1216 | |
21.11 | odd | 6 | inner | 525.2.bs.a.452.13 | yes | 1216 | |
25.13 | odd | 20 | inner | 525.2.bs.a.338.13 | yes | 1216 | |
75.38 | even | 20 | inner | 525.2.bs.a.338.64 | yes | 1216 | |
175.88 | odd | 60 | inner | 525.2.bs.a.263.64 | yes | 1216 | |
525.263 | even | 60 | inner | 525.2.bs.a.263.13 | yes | 1216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bs.a.2.13 | ✓ | 1216 | 1.1 | even | 1 | trivial | |
525.2.bs.a.2.64 | yes | 1216 | 3.2 | odd | 2 | inner | |
525.2.bs.a.263.13 | yes | 1216 | 525.263 | even | 60 | inner | |
525.2.bs.a.263.64 | yes | 1216 | 175.88 | odd | 60 | inner | |
525.2.bs.a.338.13 | yes | 1216 | 25.13 | odd | 20 | inner | |
525.2.bs.a.338.64 | yes | 1216 | 75.38 | even | 20 | inner | |
525.2.bs.a.452.13 | yes | 1216 | 21.11 | odd | 6 | inner | |
525.2.bs.a.452.64 | yes | 1216 | 7.4 | even | 3 | inner |