Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(131,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.1 | ||
Character | \(\chi\) | \(=\) | 280.131 |
Dual form | 280.2.bj.e.171.1 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40227 | + | 0.183437i | −0.991552 | + | 0.129709i | ||||
\(3\) | −0.908317 | + | 0.524417i | −0.524417 | + | 0.302772i | −0.738740 | − | 0.673991i | \(-0.764579\pi\) |
0.214323 | + | 0.976763i | \(0.431245\pi\) | |||||||
\(4\) | 1.93270 | − | 0.514454i | 0.966351 | − | 0.257227i | ||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | 1.17750 | − | 0.901991i | 0.480714 | − | 0.368236i | ||||
\(7\) | −2.14799 | − | 1.54472i | −0.811863 | − | 0.583848i | ||||
\(8\) | −2.61579 | + | 1.07593i | −0.924823 | + | 0.380399i | ||||
\(9\) | −0.949974 | + | 1.64540i | −0.316658 | + | 0.548468i | ||||
\(10\) | −0.542272 | + | 1.30612i | −0.171482 | + | 0.413030i | ||||
\(11\) | −1.17590 | − | 2.03673i | −0.354549 | − | 0.614096i | 0.632492 | − | 0.774567i | \(-0.282032\pi\) |
−0.987041 | + | 0.160471i | \(0.948699\pi\) | |||||||
\(12\) | −1.48572 | + | 1.48083i | −0.428890 | + | 0.427478i | ||||
\(13\) | 1.21209 | 0.336174 | 0.168087 | − | 0.985772i | \(-0.446241\pi\) | ||||
0.168087 | + | 0.985772i | \(0.446241\pi\) | |||||||
\(14\) | 3.29541 | + | 1.77208i | 0.880735 | + | 0.473609i | ||||
\(15\) | 1.04883i | 0.270808i | ||||||||
\(16\) | 3.47067 | − | 1.98857i | 0.867669 | − | 0.497143i | ||||
\(17\) | −4.23538 | + | 2.44530i | −1.02723 | + | 0.593072i | −0.916190 | − | 0.400744i | \(-0.868752\pi\) |
−0.111041 | + | 0.993816i | \(0.535418\pi\) | |||||||
\(18\) | 1.03029 | − | 2.48155i | 0.242841 | − | 0.584908i | ||||
\(19\) | −2.21189 | − | 1.27704i | −0.507442 | − | 0.292972i | 0.224339 | − | 0.974511i | \(-0.427978\pi\) |
−0.731782 | + | 0.681539i | \(0.761311\pi\) | |||||||
\(20\) | 0.520821 | − | 1.93100i | 0.116459 | − | 0.431784i | ||||
\(21\) | 2.76113 | + | 0.276650i | 0.602528 | + | 0.0603700i | ||||
\(22\) | 2.02254 | + | 2.64033i | 0.431207 | + | 0.562920i | ||||
\(23\) | −7.59015 | − | 4.38218i | −1.58266 | − | 0.913747i | −0.994470 | − | 0.105021i | \(-0.966509\pi\) |
−0.588186 | − | 0.808726i | \(-0.700158\pi\) | |||||||
\(24\) | 1.81173 | − | 2.34905i | 0.369819 | − | 0.479498i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −1.69968 | + | 0.222342i | −0.333334 | + | 0.0436049i | ||||
\(27\) | − | 5.13923i | − | 0.989045i | ||||||
\(28\) | −4.94611 | − | 1.88043i | −0.934726 | − | 0.355369i | ||||
\(29\) | − | 5.21449i | − | 0.968307i | −0.874983 | − | 0.484153i | \(-0.839128\pi\) | ||
0.874983 | − | 0.484153i | \(-0.160872\pi\) | |||||||
\(30\) | −0.192395 | − | 1.47074i | −0.0351263 | − | 0.268520i | ||||
\(31\) | −1.68841 | − | 2.92441i | −0.303247 | − | 0.525239i | 0.673623 | − | 0.739075i | \(-0.264737\pi\) |
−0.976869 | + | 0.213837i | \(0.931404\pi\) | |||||||
\(32\) | −4.50203 | + | 3.42516i | −0.795855 | + | 0.605488i | ||||
\(33\) | 2.13619 | + | 1.23333i | 0.371863 | + | 0.214695i | ||||
\(34\) | 5.49058 | − | 4.20589i | 0.941626 | − | 0.721303i | ||||
\(35\) | −2.41176 | + | 1.08785i | −0.407661 | + | 0.183881i | ||||
\(36\) | −0.989532 | + | 3.66879i | −0.164922 | + | 0.611465i | ||||
\(37\) | −6.16385 | − | 3.55870i | −1.01333 | − | 0.585046i | −0.101165 | − | 0.994870i | \(-0.532257\pi\) |
−0.912165 | + | 0.409823i | \(0.865590\pi\) | |||||||
\(38\) | 3.33591 | + | 1.38500i | 0.541157 | + | 0.224677i | ||||
\(39\) | −1.10097 | + | 0.635642i | −0.176296 | + | 0.101784i | ||||
\(40\) | −0.376114 | + | 2.80331i | −0.0594689 | + | 0.443242i | ||||
\(41\) | 3.18809i | 0.497897i | 0.968517 | + | 0.248948i | \(0.0800849\pi\) | ||||
−0.968517 | + | 0.248948i | \(0.919915\pi\) | |||||||
\(42\) | −3.92259 | + | 0.118555i | −0.605268 | + | 0.0182935i | ||||
\(43\) | 11.6101 | 1.77053 | 0.885264 | − | 0.465089i | \(-0.153978\pi\) | ||||
0.885264 | + | 0.465089i | \(0.153978\pi\) | |||||||
\(44\) | −3.32048 | − | 3.33144i | −0.500581 | − | 0.502233i | ||||
\(45\) | 0.949974 | + | 1.64540i | 0.141614 | + | 0.245282i | ||||
\(46\) | 11.4473 | + | 4.75267i | 1.68781 | + | 0.700742i | ||||
\(47\) | −5.01045 | + | 8.67836i | −0.730849 | + | 1.26587i | 0.225671 | + | 0.974204i | \(0.427543\pi\) |
−0.956521 | + | 0.291665i | \(0.905791\pi\) | |||||||
\(48\) | −2.10963 | + | 3.62633i | −0.304499 | + | 0.523416i | ||||
\(49\) | 2.22771 | + | 6.63606i | 0.318244 | + | 0.948009i | ||||
\(50\) | 0.859994 | + | 1.12268i | 0.121622 | + | 0.158771i | ||||
\(51\) | 2.56471 | − | 4.44221i | 0.359132 | − | 0.622034i | ||||
\(52\) | 2.34262 | − | 0.623566i | 0.324862 | − | 0.0864731i | ||||
\(53\) | 7.03102 | − | 4.05936i | 0.965784 | − | 0.557596i | 0.0678359 | − | 0.997696i | \(-0.478391\pi\) |
0.897948 | + | 0.440101i | \(0.145057\pi\) | |||||||
\(54\) | 0.942723 | + | 7.20657i | 0.128288 | + | 0.980690i | ||||
\(55\) | −2.35181 | −0.317118 | ||||||||
\(56\) | 7.28070 | + | 1.72957i | 0.972924 | + | 0.231124i | ||||
\(57\) | 2.67880 | 0.354815 | ||||||||
\(58\) | 0.956528 | + | 7.31210i | 0.125598 | + | 0.960126i | ||||
\(59\) | −9.90904 | + | 5.72099i | −1.29005 | + | 0.744809i | −0.978662 | − | 0.205475i | \(-0.934126\pi\) |
−0.311385 | + | 0.950284i | \(0.600793\pi\) | |||||||
\(60\) | 0.539577 | + | 2.02708i | 0.0696591 | + | 0.261695i | ||||
\(61\) | −0.560848 | + | 0.971417i | −0.0718092 | + | 0.124377i | −0.899694 | − | 0.436521i | \(-0.856211\pi\) |
0.827885 | + | 0.560898i | \(0.189544\pi\) | |||||||
\(62\) | 2.90404 | + | 3.79108i | 0.368813 | + | 0.481468i | ||||
\(63\) | 4.58221 | − | 2.06687i | 0.577304 | − | 0.260401i | ||||
\(64\) | 5.68475 | − | 5.62882i | 0.710594 | − | 0.703602i | ||||
\(65\) | 0.606047 | − | 1.04970i | 0.0751709 | − | 0.130200i | ||||
\(66\) | −3.22174 | − | 1.33760i | −0.396569 | − | 0.164647i | ||||
\(67\) | 0.386838 | + | 0.670023i | 0.0472598 | + | 0.0818563i | 0.888688 | − | 0.458513i | \(-0.151618\pi\) |
−0.841428 | + | 0.540369i | \(0.818284\pi\) | |||||||
\(68\) | −6.92774 | + | 6.90494i | −0.840112 | + | 0.837347i | ||||
\(69\) | 9.19235 | 1.10663 | ||||||||
\(70\) | 3.18237 | − | 1.96787i | 0.380366 | − | 0.235205i | ||||
\(71\) | 2.53216i | 0.300512i | 0.988647 | + | 0.150256i | \(0.0480097\pi\) | ||||
−0.988647 | + | 0.150256i | \(0.951990\pi\) | |||||||
\(72\) | 0.714597 | − | 5.32614i | 0.0842161 | − | 0.627691i | ||||
\(73\) | 11.1488 | − | 6.43675i | 1.30487 | − | 0.753365i | 0.323631 | − | 0.946183i | \(-0.395096\pi\) |
0.981234 | + | 0.192819i | \(0.0617629\pi\) | |||||||
\(74\) | 9.29615 | + | 3.85957i | 1.08066 | + | 0.448666i | ||||
\(75\) | 0.908317 | + | 0.524417i | 0.104883 | + | 0.0605545i | ||||
\(76\) | −4.93190 | − | 1.33021i | −0.565728 | − | 0.152586i | ||||
\(77\) | −0.620335 | + | 6.19130i | −0.0706937 | + | 0.705565i | ||||
\(78\) | 1.42725 | − | 1.09330i | 0.161604 | − | 0.123792i | ||||
\(79\) | 1.34425 | + | 0.776104i | 0.151240 | + | 0.0873186i | 0.573710 | − | 0.819058i | \(-0.305504\pi\) |
−0.422470 | + | 0.906377i | \(0.638837\pi\) | |||||||
\(80\) | 0.0131831 | − | 3.99998i | 0.00147391 | − | 0.447211i | ||||
\(81\) | −0.154821 | − | 0.268158i | −0.0172023 | − | 0.0297953i | ||||
\(82\) | −0.584813 | − | 4.47056i | −0.0645818 | − | 0.493690i | ||||
\(83\) | 4.47506i | 0.491202i | 0.969371 | + | 0.245601i | \(0.0789853\pi\) | ||||
−0.969371 | + | 0.245601i | \(0.921015\pi\) | |||||||
\(84\) | 5.47876 | − | 0.885792i | 0.597782 | − | 0.0966478i | ||||
\(85\) | 4.89060i | 0.530460i | ||||||||
\(86\) | −16.2805 | + | 2.12972i | −1.75557 | + | 0.229654i | ||||
\(87\) | 2.73457 | + | 4.73641i | 0.293176 | + | 0.507796i | ||||
\(88\) | 5.26730 | + | 4.06247i | 0.561496 | + | 0.433060i | ||||
\(89\) | −9.58219 | − | 5.53228i | −1.01571 | − | 0.586420i | −0.102851 | − | 0.994697i | \(-0.532797\pi\) |
−0.912858 | + | 0.408276i | \(0.866130\pi\) | |||||||
\(90\) | −1.63394 | − | 2.13303i | −0.172233 | − | 0.224841i | ||||
\(91\) | −2.60356 | − | 1.87234i | −0.272928 | − | 0.196275i | ||||
\(92\) | −16.9239 | − | 4.56466i | −1.76444 | − | 0.475898i | ||||
\(93\) | 3.06722 | + | 1.77086i | 0.318055 | + | 0.183629i | ||||
\(94\) | 5.43406 | − | 13.0885i | 0.560480 | − | 1.34997i | ||||
\(95\) | −2.21189 | + | 1.27704i | −0.226935 | + | 0.131021i | ||||
\(96\) | 2.29306 | − | 5.47207i | 0.234035 | − | 0.558491i | ||||
\(97\) | 13.3588i | 1.35638i | 0.734888 | + | 0.678189i | \(0.237235\pi\) | ||||
−0.734888 | + | 0.678189i | \(0.762765\pi\) | |||||||
\(98\) | −4.34113 | − | 8.89688i | −0.438521 | − | 0.898721i | ||||
\(99\) | 4.46831 | 0.449082 | ||||||||
\(100\) | −1.41188 | − | 1.41654i | −0.141188 | − | 0.141654i | ||||
\(101\) | 0.799019 | + | 1.38394i | 0.0795054 | + | 0.137707i | 0.903037 | − | 0.429564i | \(-0.141333\pi\) |
−0.823531 | + | 0.567271i | \(0.807999\pi\) | |||||||
\(102\) | −2.78155 | + | 6.69963i | −0.275414 | + | 0.663362i | ||||
\(103\) | −1.77318 | + | 3.07124i | −0.174717 | + | 0.302618i | −0.940063 | − | 0.341000i | \(-0.889234\pi\) |
0.765346 | + | 0.643619i | \(0.222568\pi\) | |||||||
\(104\) | −3.17059 | + | 1.30413i | −0.310902 | + | 0.127880i | ||||
\(105\) | 1.62015 | − | 2.25288i | 0.158110 | − | 0.219859i | ||||
\(106\) | −9.11472 | + | 6.98205i | −0.885300 | + | 0.678156i | ||||
\(107\) | 4.99959 | − | 8.65954i | 0.483329 | − | 0.837150i | −0.516488 | − | 0.856294i | \(-0.672761\pi\) |
0.999817 | + | 0.0191446i | \(0.00609429\pi\) | |||||||
\(108\) | −2.64390 | − | 9.93260i | −0.254409 | − | 0.955765i | ||||
\(109\) | −4.17287 | + | 2.40921i | −0.399689 | + | 0.230760i | −0.686350 | − | 0.727272i | \(-0.740788\pi\) |
0.286661 | + | 0.958032i | \(0.407455\pi\) | |||||||
\(110\) | 3.29786 | − | 0.431408i | 0.314439 | − | 0.0411331i | ||||
\(111\) | 7.46497 | 0.708543 | ||||||||
\(112\) | −10.5267 | − | 1.08978i | −0.994684 | − | 0.102974i | ||||
\(113\) | 8.76609 | 0.824644 | 0.412322 | − | 0.911038i | \(-0.364718\pi\) | ||||
0.412322 | + | 0.911038i | \(0.364718\pi\) | |||||||
\(114\) | −3.75638 | + | 0.491389i | −0.351818 | + | 0.0460228i | ||||
\(115\) | −7.59015 | + | 4.38218i | −0.707785 | + | 0.408640i | ||||
\(116\) | −2.68262 | − | 10.0781i | −0.249075 | − | 0.935724i | ||||
\(117\) | −1.15146 | + | 1.99438i | −0.106452 | + | 0.184381i | ||||
\(118\) | 12.8457 | − | 9.84003i | 1.18254 | − | 0.905848i | ||||
\(119\) | 12.8748 | + | 1.28999i | 1.18024 | + | 0.118253i | ||||
\(120\) | −1.12847 | − | 2.74353i | −0.103015 | − | 0.250449i | ||||
\(121\) | 2.73450 | − | 4.73629i | 0.248591 | − | 0.430571i | ||||
\(122\) | 0.608265 | − | 1.46507i | 0.0550697 | − | 0.132641i | ||||
\(123\) | −1.67189 | − | 2.89580i | −0.150749 | − | 0.261105i | ||||
\(124\) | −4.76766 | − | 4.78340i | −0.428148 | − | 0.429562i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −6.04634 | + | 3.73884i | −0.538651 | + | 0.333083i | ||||
\(127\) | − | 2.51008i | − | 0.222734i | −0.993779 | − | 0.111367i | \(-0.964477\pi\) | ||
0.993779 | − | 0.111367i | \(-0.0355229\pi\) | |||||||
\(128\) | −6.93900 | + | 8.93590i | −0.613327 | + | 0.789829i | ||||
\(129\) | −10.5457 | + | 6.08855i | −0.928495 | + | 0.536067i | ||||
\(130\) | −0.657285 | + | 1.58314i | −0.0576477 | + | 0.138850i | ||||
\(131\) | 4.72620 | + | 2.72867i | 0.412930 | + | 0.238405i | 0.692048 | − | 0.721852i | \(-0.256709\pi\) |
−0.279118 | + | 0.960257i | \(0.590042\pi\) | |||||||
\(132\) | 4.76311 | + | 1.28469i | 0.414575 | + | 0.111818i | ||||
\(133\) | 2.77846 | + | 6.15980i | 0.240923 | + | 0.534122i | ||||
\(134\) | −0.665356 | − | 0.868590i | −0.0574780 | − | 0.0750348i | ||||
\(135\) | −4.45070 | − | 2.56962i | −0.383056 | − | 0.221157i | ||||
\(136\) | 8.44792 | − | 10.9534i | 0.724403 | − | 0.939244i | ||||
\(137\) | −7.53495 | − | 13.0509i | −0.643754 | − | 1.11502i | −0.984588 | − | 0.174891i | \(-0.944043\pi\) |
0.340833 | − | 0.940124i | \(-0.389291\pi\) | |||||||
\(138\) | −12.8901 | + | 1.68621i | −1.09728 | + | 0.143540i | ||||
\(139\) | − | 15.2747i | − | 1.29558i | −0.761819 | − | 0.647789i | \(-0.775694\pi\) | ||
0.761819 | − | 0.647789i | \(-0.224306\pi\) | |||||||
\(140\) | −4.10156 | + | 3.34324i | −0.346645 | + | 0.282555i | ||||
\(141\) | − | 10.5103i | − | 0.885124i | ||||||
\(142\) | −0.464490 | − | 3.55076i | −0.0389791 | − | 0.297973i | ||||
\(143\) | −1.42531 | − | 2.46870i | −0.119190 | − | 0.206443i | ||||
\(144\) | −0.0250472 | + | 7.59975i | −0.00208727 | + | 0.633312i | ||||
\(145\) | −4.51588 | − | 2.60725i | −0.375024 | − | 0.216520i | ||||
\(146\) | −14.4528 | + | 11.0711i | −1.19612 | + | 0.916253i | ||||
\(147\) | −5.50353 | − | 4.85940i | −0.453923 | − | 0.400797i | ||||
\(148\) | −13.7437 | − | 3.70689i | −1.12972 | − | 0.304704i | ||||
\(149\) | 3.67599 | + | 2.12234i | 0.301149 | + | 0.173869i | 0.642959 | − | 0.765901i | \(-0.277707\pi\) |
−0.341810 | + | 0.939769i | \(0.611040\pi\) | |||||||
\(150\) | −1.36990 | − | 0.568754i | −0.111852 | − | 0.0464385i | ||||
\(151\) | −1.03731 | + | 0.598892i | −0.0844152 | + | 0.0487371i | −0.541613 | − | 0.840628i | \(-0.682186\pi\) |
0.457198 | + | 0.889365i | \(0.348853\pi\) | |||||||
\(152\) | 7.15985 | + | 0.960622i | 0.580740 | + | 0.0779167i | ||||
\(153\) | − | 9.29188i | − | 0.751204i | ||||||
\(154\) | −0.265837 | − | 8.79565i | −0.0214218 | − | 0.708774i | ||||
\(155\) | −3.37681 | −0.271232 | ||||||||
\(156\) | −1.80083 | + | 1.79490i | −0.144182 | + | 0.143707i | ||||
\(157\) | 5.51369 | + | 9.54999i | 0.440040 | + | 0.762172i | 0.997692 | − | 0.0679028i | \(-0.0216308\pi\) |
−0.557652 | + | 0.830075i | \(0.688297\pi\) | |||||||
\(158\) | −2.02737 | − | 0.841720i | −0.161289 | − | 0.0669636i | ||||
\(159\) | −4.25759 | + | 7.37437i | −0.337649 | + | 0.584825i | ||||
\(160\) | 0.715256 | + | 5.61145i | 0.0565460 | + | 0.443624i | ||||
\(161\) | 9.53434 | + | 21.1375i | 0.751411 | + | 1.66587i | ||||
\(162\) | 0.266290 | + | 0.347629i | 0.0209217 | + | 0.0273123i | ||||
\(163\) | −6.36400 | + | 11.0228i | −0.498467 | + | 0.863370i | −0.999998 | − | 0.00176946i | \(-0.999437\pi\) |
0.501532 | + | 0.865139i | \(0.332770\pi\) | |||||||
\(164\) | 1.64013 | + | 6.16164i | 0.128072 | + | 0.481143i | ||||
\(165\) | 2.13619 | − | 1.23333i | 0.166302 | − | 0.0960145i | ||||
\(166\) | −0.820890 | − | 6.27523i | −0.0637135 | − | 0.487052i | ||||
\(167\) | 15.0560 | 1.16507 | 0.582535 | − | 0.812805i | \(-0.302061\pi\) | ||||
0.582535 | + | 0.812805i | \(0.302061\pi\) | |||||||
\(168\) | −7.52020 | + | 2.24712i | −0.580196 | + | 0.173369i | ||||
\(169\) | −11.5308 | −0.886987 | ||||||||
\(170\) | −0.897115 | − | 6.85792i | −0.0688056 | − | 0.525979i | ||||
\(171\) | 4.20247 | − | 2.42630i | 0.321371 | − | 0.185544i | ||||
\(172\) | 22.4389 | − | 5.97288i | 1.71095 | − | 0.455428i | ||||
\(173\) | 6.09623 | − | 10.5590i | 0.463488 | − | 0.802784i | −0.535644 | − | 0.844444i | \(-0.679931\pi\) |
0.999132 | + | 0.0416597i | \(0.0132645\pi\) | |||||||
\(174\) | −4.70342 | − | 6.14009i | −0.356566 | − | 0.465479i | ||||
\(175\) | −0.263769 | + | 2.63257i | −0.0199391 | + | 0.199004i | ||||
\(176\) | −8.13136 | − | 4.73044i | −0.612924 | − | 0.356571i | ||||
\(177\) | 6.00037 | − | 10.3929i | 0.451015 | − | 0.781181i | ||||
\(178\) | 14.4516 | + | 6.00000i | 1.08319 | + | 0.449719i | ||||
\(179\) | −0.698646 | − | 1.21009i | −0.0522192 | − | 0.0904464i | 0.838734 | − | 0.544541i | \(-0.183296\pi\) |
−0.890953 | + | 0.454095i | \(0.849963\pi\) | |||||||
\(180\) | 2.68250 | + | 2.69136i | 0.199942 | + | 0.200602i | ||||
\(181\) | −25.6584 | −1.90717 | −0.953587 | − | 0.301118i | \(-0.902640\pi\) | ||||
−0.953587 | + | 0.301118i | \(0.902640\pi\) | |||||||
\(182\) | 3.99434 | + | 2.14793i | 0.296080 | + | 0.159215i | ||||
\(183\) | − | 1.17647i | − | 0.0869674i | ||||||
\(184\) | 24.5692 | + | 3.29640i | 1.81126 | + | 0.243014i | ||||
\(185\) | −6.16385 | + | 3.55870i | −0.453175 | + | 0.261641i | ||||
\(186\) | −4.62589 | − | 1.92057i | −0.339187 | − | 0.140823i | ||||
\(187\) | 9.96081 | + | 5.75088i | 0.728407 | + | 0.420546i | ||||
\(188\) | −5.21910 | + | 19.3503i | −0.380642 | + | 1.41127i | ||||
\(189\) | −7.93865 | + | 11.0390i | −0.577452 | + | 0.802970i | ||||
\(190\) | 2.86740 | − | 2.19648i | 0.208023 | − | 0.159350i | ||||
\(191\) | 6.13554 | + | 3.54235i | 0.443952 | + | 0.256316i | 0.705273 | − | 0.708936i | \(-0.250825\pi\) |
−0.261321 | + | 0.965252i | \(0.584158\pi\) | |||||||
\(192\) | −2.21171 | + | 8.09393i | −0.159616 | + | 0.584129i | ||||
\(193\) | −9.51108 | − | 16.4737i | −0.684622 | − | 1.18580i | −0.973555 | − | 0.228451i | \(-0.926634\pi\) |
0.288933 | − | 0.957349i | \(-0.406699\pi\) | |||||||
\(194\) | −2.45049 | − | 18.7325i | −0.175935 | − | 1.34492i | ||||
\(195\) | 1.27128i | 0.0910386i | ||||||||
\(196\) | 7.71944 | + | 11.6795i | 0.551389 | + | 0.834249i | ||||
\(197\) | − | 25.7446i | − | 1.83423i | −0.398626 | − | 0.917113i | \(-0.630513\pi\) | ||
0.398626 | − | 0.917113i | \(-0.369487\pi\) | |||||||
\(198\) | −6.26577 | + | 0.819652i | −0.445289 | + | 0.0582502i | ||||
\(199\) | −3.38261 | − | 5.85886i | −0.239787 | − | 0.415323i | 0.720866 | − | 0.693074i | \(-0.243744\pi\) |
−0.960653 | + | 0.277751i | \(0.910411\pi\) | |||||||
\(200\) | 2.23968 | + | 1.72738i | 0.158369 | + | 0.122144i | ||||
\(201\) | −0.702743 | − | 0.405729i | −0.0495676 | − | 0.0286179i | ||||
\(202\) | −1.37430 | − | 1.79409i | −0.0966956 | − | 0.126231i | ||||
\(203\) | −8.05491 | + | 11.2007i | −0.565344 | + | 0.786132i | ||||
\(204\) | 2.67151 | − | 9.90490i | 0.187043 | − | 0.693482i | ||||
\(205\) | 2.76097 | + | 1.59405i | 0.192835 | + | 0.111333i | ||||
\(206\) | 1.92310 | − | 4.63196i | 0.133988 | − | 0.322724i | ||||
\(207\) | 14.4209 | − | 8.32590i | 1.00232 | − | 0.578690i | ||||
\(208\) | 4.20678 | − | 2.41034i | 0.291688 | − | 0.167127i | ||||
\(209\) | 6.00669i | 0.415491i | ||||||||
\(210\) | −1.85862 | + | 3.45634i | −0.128257 | + | 0.238510i | ||||
\(211\) | 14.7573 | 1.01593 | 0.507967 | − | 0.861377i | \(-0.330397\pi\) | ||||
0.507967 | + | 0.861377i | \(0.330397\pi\) | |||||||
\(212\) | 11.5005 | − | 11.4627i | 0.789858 | − | 0.787259i | ||||
\(213\) | −1.32791 | − | 2.30000i | −0.0909866 | − | 0.157593i | ||||
\(214\) | −5.42228 | + | 13.0601i | −0.370659 | + | 0.892770i | ||||
\(215\) | 5.80506 | − | 10.0547i | 0.395902 | − | 0.685723i | ||||
\(216\) | 5.52945 | + | 13.4432i | 0.376232 | + | 0.914692i | ||||
\(217\) | −0.890699 | + | 8.88969i | −0.0604646 | + | 0.603472i | ||||
\(218\) | 5.40954 | − | 4.14381i | 0.366380 | − | 0.280654i | ||||
\(219\) | −6.75108 | + | 11.6932i | −0.456196 | + | 0.790154i | ||||
\(220\) | −4.54535 | + | 1.20990i | −0.306447 | + | 0.0815713i | ||||
\(221\) | −5.13368 | + | 2.96393i | −0.345329 | + | 0.199376i | ||||
\(222\) | −10.4679 | + | 1.36935i | −0.702558 | + | 0.0919046i | ||||
\(223\) | −14.4522 | −0.967791 | −0.483896 | − | 0.875126i | \(-0.660779\pi\) | ||||
−0.483896 | + | 0.875126i | \(0.660779\pi\) | |||||||
\(224\) | 14.9612 | − | 0.402834i | 0.999638 | − | 0.0269155i | ||||
\(225\) | 1.89995 | 0.126663 | ||||||||
\(226\) | −12.2924 | + | 1.60802i | −0.817677 | + | 0.106964i | ||||
\(227\) | −3.97850 | + | 2.29699i | −0.264062 | + | 0.152456i | −0.626186 | − | 0.779673i | \(-0.715385\pi\) |
0.362124 | + | 0.932130i | \(0.382052\pi\) | |||||||
\(228\) | 5.17731 | − | 1.37812i | 0.342876 | − | 0.0912680i | ||||
\(229\) | −6.54085 | + | 11.3291i | −0.432232 | + | 0.748647i | −0.997065 | − | 0.0765577i | \(-0.975607\pi\) |
0.564833 | + | 0.825205i | \(0.308940\pi\) | |||||||
\(230\) | 9.83956 | − | 7.53729i | 0.648801 | − | 0.496994i | ||||
\(231\) | −2.68336 | − | 5.94898i | −0.176552 | − | 0.391414i | ||||
\(232\) | 5.61043 | + | 13.6400i | 0.368342 | + | 0.895512i | ||||
\(233\) | 10.4329 | − | 18.0703i | 0.683483 | − | 1.18383i | −0.290428 | − | 0.956897i | \(-0.593798\pi\) |
0.973911 | − | 0.226931i | \(-0.0728691\pi\) | |||||||
\(234\) | 1.24881 | − | 3.00787i | 0.0816371 | − | 0.196631i | ||||
\(235\) | 5.01045 | + | 8.67836i | 0.326846 | + | 0.566114i | ||||
\(236\) | −16.2080 | + | 16.1547i | −1.05505 | + | 1.05158i | ||||
\(237\) | −1.62801 | −0.105751 | ||||||||
\(238\) | −18.2906 | + | 0.552810i | −1.18560 | + | 0.0358333i | ||||
\(239\) | − | 2.94959i | − | 0.190793i | −0.995439 | − | 0.0953964i | \(-0.969588\pi\) | ||
0.995439 | − | 0.0953964i | \(-0.0304119\pi\) | |||||||
\(240\) | 2.08568 | + | 3.64016i | 0.134630 | + | 0.234971i | ||||
\(241\) | 0.798690 | − | 0.461124i | 0.0514481 | − | 0.0297036i | −0.474055 | − | 0.880495i | \(-0.657210\pi\) |
0.525503 | + | 0.850791i | \(0.323877\pi\) | |||||||
\(242\) | −2.96568 | + | 7.14314i | −0.190641 | + | 0.459178i | ||||
\(243\) | 13.6334 | + | 7.87123i | 0.874581 | + | 0.504940i | ||||
\(244\) | −0.584203 | + | 2.16599i | −0.0373998 | + | 0.138663i | ||||
\(245\) | 6.86085 | + | 1.38878i | 0.438324 | + | 0.0887260i | ||||
\(246\) | 2.87563 | + | 3.75400i | 0.183344 | + | 0.239346i | ||||
\(247\) | −2.68102 | − | 1.54789i | −0.170589 | − | 0.0984896i | ||||
\(248\) | 7.56298 | + | 5.83303i | 0.480249 | + | 0.370398i | ||||
\(249\) | −2.34680 | − | 4.06478i | −0.148722 | − | 0.257595i | ||||
\(250\) | 1.40227 | − | 0.183437i | 0.0886871 | − | 0.0116015i | ||||
\(251\) | − | 9.30464i | − | 0.587304i | −0.955912 | − | 0.293652i | \(-0.905129\pi\) | ||
0.955912 | − | 0.293652i | \(-0.0948706\pi\) | |||||||
\(252\) | 7.79274 | − | 6.35197i | 0.490897 | − | 0.400137i | ||||
\(253\) | 20.6121i | 1.29587i | ||||||||
\(254\) | 0.460441 | + | 3.51980i | 0.0288906 | + | 0.220852i | ||||
\(255\) | −2.56471 | − | 4.44221i | −0.160609 | − | 0.278182i | ||||
\(256\) | 8.09116 | − | 13.8034i | 0.505698 | − | 0.862711i | ||||
\(257\) | 26.0684 | + | 15.0506i | 1.62610 | + | 0.938832i | 0.985240 | + | 0.171178i | \(0.0547575\pi\) |
0.640865 | + | 0.767654i | \(0.278576\pi\) | |||||||
\(258\) | 13.6710 | − | 10.4722i | 0.851118 | − | 0.651972i | ||||
\(259\) | 7.74269 | + | 17.1654i | 0.481107 | + | 1.06661i | ||||
\(260\) | 0.631284 | − | 2.34055i | 0.0391506 | − | 0.145155i | ||||
\(261\) | 8.57994 | + | 4.95363i | 0.531085 | + | 0.306622i | ||||
\(262\) | −7.12793 | − | 2.95937i | −0.440365 | − | 0.182830i | ||||
\(263\) | −15.2475 | + | 8.80316i | −0.940202 | + | 0.542826i | −0.890024 | − | 0.455914i | \(-0.849312\pi\) |
−0.0501785 | + | 0.998740i | \(0.515979\pi\) | |||||||
\(264\) | −6.91480 | − | 0.927745i | −0.425577 | − | 0.0570988i | ||||
\(265\) | − | 8.11872i | − | 0.498729i | ||||||
\(266\) | −5.02607 | − | 8.12801i | −0.308168 | − | 0.498360i | ||||
\(267\) | 11.6049 | 0.710207 | ||||||||
\(268\) | 1.09234 | + | 1.09594i | 0.0667252 | + | 0.0669454i | ||||
\(269\) | −4.10363 | − | 7.10769i | −0.250202 | − | 0.433363i | 0.713379 | − | 0.700778i | \(-0.247164\pi\) |
−0.963581 | + | 0.267415i | \(0.913831\pi\) | |||||||
\(270\) | 6.71244 | + | 2.78686i | 0.408506 | + | 0.169603i | ||||
\(271\) | 7.40183 | − | 12.8204i | 0.449629 | − | 0.778781i | −0.548732 | − | 0.835998i | \(-0.684889\pi\) |
0.998362 | + | 0.0572171i | \(0.0182227\pi\) | |||||||
\(272\) | −9.83698 | + | 16.9092i | −0.596455 | + | 1.02527i | ||||
\(273\) | 3.34675 | + | 0.335326i | 0.202554 | + | 0.0202948i | ||||
\(274\) | 12.9600 | + | 16.9187i | 0.782944 | + | 1.02209i | ||||
\(275\) | −1.17590 | + | 2.03673i | −0.0709097 | + | 0.122819i | ||||
\(276\) | 17.7661 | − | 4.72904i | 1.06939 | − | 0.284655i | ||||
\(277\) | −5.53090 | + | 3.19327i | −0.332320 | + | 0.191865i | −0.656870 | − | 0.754003i | \(-0.728120\pi\) |
0.324551 | + | 0.945868i | \(0.394787\pi\) | |||||||
\(278\) | 2.80193 | + | 21.4191i | 0.168049 | + | 1.28463i | ||||
\(279\) | 6.41577 | 0.384102 | ||||||||
\(280\) | 5.13820 | − | 5.44048i | 0.307066 | − | 0.325131i | ||||
\(281\) | −12.2559 | −0.731128 | −0.365564 | − | 0.930786i | \(-0.619124\pi\) | ||||
−0.365564 | + | 0.930786i | \(0.619124\pi\) | |||||||
\(282\) | 1.92797 | + | 14.7382i | 0.114809 | + | 0.877646i | ||||
\(283\) | −14.5951 | + | 8.42649i | −0.867589 | + | 0.500903i | −0.866546 | − | 0.499096i | \(-0.833665\pi\) |
−0.00104298 | + | 0.999999i | \(0.500332\pi\) | |||||||
\(284\) | 1.30268 | + | 4.89390i | 0.0772997 | + | 0.290400i | ||||
\(285\) | 1.33940 | − | 2.31990i | 0.0793391 | − | 0.137419i | ||||
\(286\) | 2.45151 | + | 3.20033i | 0.144961 | + | 0.189239i | ||||
\(287\) | 4.92470 | − | 6.84799i | 0.290696 | − | 0.404224i | ||||
\(288\) | −1.35895 | − | 10.6615i | −0.0800768 | − | 0.628233i | ||||
\(289\) | 3.45898 | − | 5.99113i | 0.203469 | − | 0.352419i | ||||
\(290\) | 6.81073 | + | 2.82767i | 0.399940 | + | 0.166047i | ||||
\(291\) | −7.00556 | − | 12.1340i | −0.410673 | − | 0.711307i | ||||
\(292\) | 18.2359 | − | 18.1759i | 1.06717 | − | 1.06366i | ||||
\(293\) | −27.0419 | −1.57980 | −0.789902 | − | 0.613233i | \(-0.789869\pi\) | ||||
−0.789902 | + | 0.613233i | \(0.789869\pi\) | |||||||
\(294\) | 8.60880 | + | 5.80463i | 0.502076 | + | 0.338533i | ||||
\(295\) | 11.4420i | 0.666178i | ||||||||
\(296\) | 19.9523 | + | 2.67695i | 1.15970 | + | 0.155595i | ||||
\(297\) | −10.4672 | + | 6.04325i | −0.607369 | + | 0.350665i | ||||
\(298\) | −5.54404 | − | 2.30177i | −0.321157 | − | 0.133338i | ||||
\(299\) | −9.19997 | − | 5.31161i | −0.532048 | − | 0.307178i | ||||
\(300\) | 2.02529 | + | 0.546255i | 0.116930 | + | 0.0315380i | ||||
\(301\) | −24.9384 | − | 17.9343i | −1.43743 | − | 1.03372i | ||||
\(302\) | 1.34473 | − | 1.03009i | 0.0773804 | − | 0.0592748i | ||||
\(303\) | −1.45153 | − | 0.838038i | −0.0833879 | − | 0.0481441i | ||||
\(304\) | −10.2162 | − | 0.0336705i | −0.585941 | − | 0.00193114i | ||||
\(305\) | 0.560848 | + | 0.971417i | 0.0321141 | + | 0.0556232i | ||||
\(306\) | 1.70447 | + | 13.0297i | 0.0974381 | + | 0.744858i | ||||
\(307\) | 3.32341i | 0.189677i | 0.995493 | + | 0.0948386i | \(0.0302335\pi\) | ||||
−0.995493 | + | 0.0948386i | \(0.969766\pi\) | |||||||
\(308\) | 1.98622 | + | 12.2851i | 0.113175 | + | 0.700007i | ||||
\(309\) | − | 3.71955i | − | 0.211598i | ||||||
\(310\) | 4.73519 | − | 0.619431i | 0.268941 | − | 0.0351813i | ||||
\(311\) | 17.2937 | + | 29.9536i | 0.980637 | + | 1.69851i | 0.659915 | + | 0.751340i | \(0.270592\pi\) |
0.320723 | + | 0.947173i | \(0.396074\pi\) | |||||||
\(312\) | 2.19599 | − | 2.84727i | 0.124323 | − | 0.161195i | ||||
\(313\) | −12.5334 | − | 7.23619i | −0.708432 | − | 0.409014i | 0.102048 | − | 0.994779i | \(-0.467461\pi\) |
−0.810480 | + | 0.585766i | \(0.800794\pi\) | |||||||
\(314\) | −9.48348 | − | 12.3802i | −0.535184 | − | 0.698656i | ||||
\(315\) | 0.501147 | − | 5.00174i | 0.0282365 | − | 0.281816i | ||||
\(316\) | 2.99731 | + | 0.808423i | 0.168612 | + | 0.0454773i | ||||
\(317\) | −13.1460 | − | 7.58984i | −0.738352 | − | 0.426288i | 0.0831178 | − | 0.996540i | \(-0.473512\pi\) |
−0.821470 | + | 0.570252i | \(0.806846\pi\) | |||||||
\(318\) | 4.61755 | − | 11.1218i | 0.258939 | − | 0.623681i | ||||
\(319\) | −10.6205 | + | 6.13174i | −0.594633 | + | 0.343312i | ||||
\(320\) | −2.03233 | − | 7.73755i | −0.113610 | − | 0.432542i | ||||
\(321\) | 10.4875i | 0.585354i | ||||||||
\(322\) | −17.2471 | − | 27.8914i | −0.961142 | − | 1.55433i | ||||
\(323\) | 12.4909 | 0.695014 | ||||||||
\(324\) | −0.437178 | − | 0.438621i | −0.0242877 | − | 0.0243678i | ||||
\(325\) | −0.606047 | − | 1.04970i | −0.0336174 | − | 0.0582271i | ||||
\(326\) | 6.90204 | − | 16.6242i | 0.382269 | − | 0.920732i | ||||
\(327\) | 2.52686 | − | 4.37665i | 0.139736 | − | 0.242029i | ||||
\(328\) | −3.43016 | − | 8.33939i | −0.189399 | − | 0.460466i | ||||
\(329\) | 24.1680 | − | 10.9013i | 1.33242 | − | 0.601007i | ||||
\(330\) | −2.76927 | + | 2.12131i | −0.152443 | + | 0.116774i | ||||
\(331\) | 8.23079 | − | 14.2562i | 0.452405 | − | 0.783589i | −0.546130 | − | 0.837701i | \(-0.683899\pi\) |
0.998535 | + | 0.0541118i | \(0.0172327\pi\) | |||||||
\(332\) | 2.30221 | + | 8.64896i | 0.126350 | + | 0.474674i | ||||
\(333\) | 11.7110 | − | 6.76134i | 0.641758 | − | 0.370519i | ||||
\(334\) | −21.1126 | + | 2.76183i | −1.15523 | + | 0.151120i | ||||
\(335\) | 0.773676 | 0.0422704 | ||||||||
\(336\) | 10.1331 | − | 4.53054i | 0.552807 | − | 0.247161i | ||||
\(337\) | −28.2883 | −1.54096 | −0.770482 | − | 0.637462i | \(-0.779984\pi\) | ||||
−0.770482 | + | 0.637462i | \(0.779984\pi\) | |||||||
\(338\) | 16.1693 | − | 2.11518i | 0.879494 | − | 0.115050i | ||||
\(339\) | −7.96238 | + | 4.59708i | −0.432457 | + | 0.249679i | ||||
\(340\) | 2.51599 | + | 9.45207i | 0.136449 | + | 0.512610i | ||||
\(341\) | −3.97081 | + | 6.87764i | −0.215031 | + | 0.372445i | ||||
\(342\) | −5.44792 | + | 4.17321i | −0.294590 | + | 0.225661i | ||||
\(343\) | 5.46574 | − | 17.6954i | 0.295122 | − | 0.955459i | ||||
\(344\) | −30.3697 | + | 12.4917i | −1.63742 | + | 0.673506i | ||||
\(345\) | 4.59617 | − | 7.96081i | 0.247450 | − | 0.428595i | ||||
\(346\) | −6.61163 | + | 15.9248i | −0.355444 | + | 0.856121i | ||||
\(347\) | 0.490872 | + | 0.850215i | 0.0263514 | + | 0.0456420i | 0.878900 | − | 0.477005i | \(-0.158278\pi\) |
−0.852549 | + | 0.522647i | \(0.824944\pi\) | |||||||
\(348\) | 7.72177 | + | 7.74726i | 0.413930 | + | 0.415297i | ||||
\(349\) | −25.8547 | −1.38397 | −0.691985 | − | 0.721912i | \(-0.743264\pi\) | ||||
−0.691985 | + | 0.721912i | \(0.743264\pi\) | |||||||
\(350\) | −0.113035 | − | 3.73995i | −0.00604198 | − | 0.199909i | ||||
\(351\) | − | 6.22923i | − | 0.332492i | ||||||
\(352\) | 12.2701 | + | 5.14175i | 0.653997 | + | 0.274056i | ||||
\(353\) | 11.4688 | − | 6.62150i | 0.610421 | − | 0.352427i | −0.162709 | − | 0.986674i | \(-0.552023\pi\) |
0.773130 | + | 0.634247i | \(0.218690\pi\) | |||||||
\(354\) | −6.50767 | + | 15.6744i | −0.345879 | + | 0.833083i | ||||
\(355\) | 2.19291 | + | 1.26608i | 0.116388 | + | 0.0671965i | ||||
\(356\) | −21.3656 | − | 5.76265i | −1.13238 | − | 0.305420i | ||||
\(357\) | −12.3709 | + | 5.58007i | −0.654739 | + | 0.295329i | ||||
\(358\) | 1.20166 | + | 1.56871i | 0.0635098 | + | 0.0829090i | ||||
\(359\) | −4.64380 | − | 2.68110i | −0.245090 | − | 0.141503i | 0.372424 | − | 0.928063i | \(-0.378527\pi\) |
−0.617514 | + | 0.786560i | \(0.711860\pi\) | |||||||
\(360\) | −4.25527 | − | 3.28193i | −0.224273 | − | 0.172973i | ||||
\(361\) | −6.23836 | − | 10.8052i | −0.328335 | − | 0.568693i | ||||
\(362\) | 35.9799 | − | 4.70669i | 1.89106 | − | 0.247378i | ||||
\(363\) | 5.73606i | 0.301065i | ||||||||
\(364\) | −5.99514 | − | 2.27926i | −0.314231 | − | 0.119466i | ||||
\(365\) | − | 12.8735i | − | 0.673830i | ||||||
\(366\) | 0.215808 | + | 1.64973i | 0.0112805 | + | 0.0862327i | ||||
\(367\) | −10.6905 | − | 18.5165i | −0.558041 | − | 0.966556i | −0.997660 | − | 0.0683713i | \(-0.978220\pi\) |
0.439619 | − | 0.898185i | \(-0.355114\pi\) | |||||||
\(368\) | −35.0572 | − | 0.115541i | −1.82748 | − | 0.00602300i | ||||
\(369\) | −5.24570 | − | 3.02861i | −0.273080 | − | 0.157663i | ||||
\(370\) | 7.99056 | − | 6.12092i | 0.415409 | − | 0.318211i | ||||
\(371\) | −21.3731 | − | 2.14147i | −1.10964 | − | 0.111179i | ||||
\(372\) | 6.83904 | + | 1.84460i | 0.354588 | + | 0.0956380i | ||||
\(373\) | 7.38217 | + | 4.26210i | 0.382234 | + | 0.220683i | 0.678790 | − | 0.734333i | \(-0.262505\pi\) |
−0.296556 | + | 0.955016i | \(0.595838\pi\) | |||||||
\(374\) | −15.0226 | − | 6.23709i | −0.776802 | − | 0.322512i | ||||
\(375\) | 0.908317 | − | 0.524417i | 0.0469053 | − | 0.0270808i | ||||
\(376\) | 3.76900 | − | 28.0917i | 0.194372 | − | 1.44872i | ||||
\(377\) | − | 6.32045i | − | 0.325520i | ||||||
\(378\) | 9.10715 | − | 16.9359i | 0.468421 | − | 0.871087i | ||||
\(379\) | −4.45055 | −0.228609 | −0.114305 | − | 0.993446i | \(-0.536464\pi\) | ||||
−0.114305 | + | 0.993446i | \(0.536464\pi\) | |||||||
\(380\) | −3.61795 | + | 3.60604i | −0.185597 | + | 0.184986i | ||||
\(381\) | 1.31633 | + | 2.27995i | 0.0674376 | + | 0.116805i | ||||
\(382\) | −9.25346 | − | 3.84184i | −0.473448 | − | 0.196566i | ||||
\(383\) | 5.77418 | − | 10.0012i | 0.295047 | − | 0.511036i | −0.679949 | − | 0.733259i | \(-0.737998\pi\) |
0.974996 | + | 0.222223i | \(0.0713314\pi\) | |||||||
\(384\) | 1.61668 | − | 11.7556i | 0.0825008 | − | 0.599898i | ||||
\(385\) | 5.05166 | + | 3.63288i | 0.257456 | + | 0.185149i | ||||
\(386\) | 16.3589 | + | 21.3558i | 0.832648 | + | 1.08698i | ||||
\(387\) | −11.0293 | + | 19.1033i | −0.560652 | + | 0.971077i | ||||
\(388\) | 6.87247 | + | 25.8185i | 0.348897 | + | 1.31074i | ||||
\(389\) | 8.52646 | − | 4.92276i | 0.432309 | − | 0.249594i | −0.268021 | − | 0.963413i | \(-0.586370\pi\) |
0.700330 | + | 0.713819i | \(0.253036\pi\) | |||||||
\(390\) | −0.233200 | − | 1.78268i | −0.0118085 | − | 0.0902695i | ||||
\(391\) | 42.8629 | 2.16767 | ||||||||
\(392\) | −12.9672 | − | 14.9617i | −0.654940 | − | 0.755681i | ||||
\(393\) | −5.72385 | −0.288730 | ||||||||
\(394\) | 4.72250 | + | 36.1008i | 0.237916 | + | 1.81873i | ||||
\(395\) | 1.34425 | − | 0.776104i | 0.0676367 | − | 0.0390500i | ||||
\(396\) | 8.63592 | − | 2.29874i | 0.433971 | − | 0.115516i | ||||
\(397\) | 13.9206 | − | 24.1113i | 0.698657 | − | 1.21011i | −0.270275 | − | 0.962783i | \(-0.587115\pi\) |
0.968932 | − | 0.247327i | \(-0.0795521\pi\) | |||||||
\(398\) | 5.81805 | + | 7.59518i | 0.291633 | + | 0.380712i | ||||
\(399\) | −5.75402 | − | 4.13798i | −0.288061 | − | 0.207158i | ||||
\(400\) | −3.45749 | − | 2.01141i | −0.172875 | − | 0.100570i | ||||
\(401\) | −18.2301 | + | 31.5755i | −0.910370 | + | 1.57681i | −0.0968267 | + | 0.995301i | \(0.530869\pi\) |
−0.813543 | + | 0.581505i | \(0.802464\pi\) | |||||||
\(402\) | 1.05986 | + | 0.440031i | 0.0528609 | + | 0.0219467i | ||||
\(403\) | −2.04651 | − | 3.54465i | −0.101944 | − | 0.176572i | ||||
\(404\) | 2.25624 | + | 2.26369i | 0.112252 | + | 0.112623i | ||||
\(405\) | −0.309642 | −0.0153862 | ||||||||
\(406\) | 9.24051 | − | 17.1839i | 0.458599 | − | 0.852822i | ||||
\(407\) | 16.7388i | 0.829709i | ||||||||
\(408\) | −1.92925 | + | 14.3794i | −0.0955121 | + | 0.711885i | ||||
\(409\) | 3.55633 | − | 2.05325i | 0.175849 | − | 0.101527i | −0.409492 | − | 0.912314i | \(-0.634294\pi\) |
0.585341 | + | 0.810787i | \(0.300961\pi\) | |||||||
\(410\) | −4.16402 | − | 1.72882i | −0.205646 | − | 0.0853801i | ||||
\(411\) | 13.6882 | + | 7.90291i | 0.675191 | + | 0.389822i | ||||
\(412\) | −1.84702 | + | 6.84801i | −0.0909961 | + | 0.337377i | ||||
\(413\) | 30.1218 | + | 3.01804i | 1.48220 | + | 0.148508i | ||||
\(414\) | −18.6946 | + | 14.3205i | −0.918792 | + | 0.703812i | ||||
\(415\) | 3.87552 | + | 2.23753i | 0.190242 | + | 0.109836i | ||||
\(416\) | −5.45689 | + | 4.15161i | −0.267546 | + | 0.203549i | ||||
\(417\) | 8.01029 | + | 13.8742i | 0.392265 | + | 0.679424i | ||||
\(418\) | −1.10185 | − | 8.42297i | −0.0538931 | − | 0.411981i | ||||
\(419\) | − | 39.8516i | − | 1.94688i | −0.228943 | − | 0.973440i | \(-0.573527\pi\) | ||
0.228943 | − | 0.973440i | \(-0.426473\pi\) | |||||||
\(420\) | 1.97226 | − | 5.18764i | 0.0962366 | − | 0.253131i | ||||
\(421\) | − | 10.2595i | − | 0.500020i | −0.968243 | − | 0.250010i | \(-0.919566\pi\) | ||
0.968243 | − | 0.250010i | \(-0.0804339\pi\) | |||||||
\(422\) | −20.6936 | + | 2.70703i | −1.00735 | + | 0.131776i | ||||
\(423\) | −9.51959 | − | 16.4884i | −0.462859 | − | 0.801694i | ||||
\(424\) | −14.0241 | + | 18.1833i | −0.681071 | + | 0.883060i | ||||
\(425\) | 4.23538 | + | 2.44530i | 0.205446 | + | 0.118614i | ||||
\(426\) | 2.28398 | + | 2.98163i | 0.110659 | + | 0.144460i | ||||
\(427\) | 2.70526 | − | 1.22024i | 0.130917 | − | 0.0590517i | ||||
\(428\) | 5.20778 | − | 19.3084i | 0.251728 | − | 0.933306i | ||||
\(429\) | 2.58926 | + | 1.49491i | 0.125011 | + | 0.0721749i | ||||
\(430\) | −6.29585 | + | 15.1642i | −0.303613 | + | 0.731282i | ||||
\(431\) | −13.6969 | + | 7.90789i | −0.659755 | + | 0.380909i | −0.792183 | − | 0.610283i | \(-0.791056\pi\) |
0.132429 | + | 0.991193i | \(0.457722\pi\) | |||||||
\(432\) | −10.2197 | − | 17.8366i | −0.491697 | − | 0.858164i | ||||
\(433\) | 32.7619i | 1.57443i | 0.616676 | + | 0.787217i | \(0.288479\pi\) | ||||
−0.616676 | + | 0.787217i | \(0.711521\pi\) | |||||||
\(434\) | −0.381699 | − | 12.6291i | −0.0183221 | − | 0.606217i | ||||
\(435\) | 5.46913 | 0.262225 | ||||||||
\(436\) | −6.82549 | + | 6.80303i | −0.326882 | + | 0.325806i | ||||
\(437\) | 11.1924 | + | 19.3858i | 0.535404 | + | 0.927347i | ||||
\(438\) | 7.32185 | − | 17.6354i | 0.349852 | − | 0.842652i | ||||
\(439\) | 0.202051 | − | 0.349962i | 0.00964336 | − | 0.0167028i | −0.861163 | − | 0.508328i | \(-0.830264\pi\) |
0.870807 | + | 0.491625i | \(0.163597\pi\) | |||||||
\(440\) | 6.15185 | − | 2.53038i | 0.293278 | − | 0.120631i | ||||
\(441\) | −13.0353 | − | 2.63861i | −0.620727 | − | 0.125648i | ||||
\(442\) | 6.65509 | − | 5.09793i | 0.316551 | − | 0.242484i | ||||
\(443\) | −16.1659 | + | 28.0002i | −0.768066 | + | 1.33033i | 0.170544 | + | 0.985350i | \(0.445447\pi\) |
−0.938610 | + | 0.344979i | \(0.887886\pi\) | |||||||
\(444\) | 14.4276 | − | 3.84038i | 0.684701 | − | 0.182256i | ||||
\(445\) | −9.58219 | + | 5.53228i | −0.454239 | + | 0.262255i | ||||
\(446\) | 20.2658 | − | 2.65106i | 0.959616 | − | 0.125531i | ||||
\(447\) | −4.45196 | −0.210570 | ||||||||
\(448\) | −20.9057 | + | 3.30931i | −0.987702 | + | 0.156350i | ||||
\(449\) | 4.91848 | 0.232117 | 0.116059 | − | 0.993242i | \(-0.462974\pi\) | ||||
0.116059 | + | 0.993242i | \(0.462974\pi\) | |||||||
\(450\) | −2.66423 | + | 0.348520i | −0.125593 | + | 0.0164294i | ||||
\(451\) | 6.49328 | − | 3.74889i | 0.305756 | − | 0.176529i | ||||
\(452\) | 16.9422 | − | 4.50975i | 0.796896 | − | 0.212121i | ||||
\(453\) | 0.628138 | − | 1.08797i | 0.0295125 | − | 0.0511172i | ||||
\(454\) | 5.15757 | − | 3.95079i | 0.242057 | − | 0.185420i | ||||
\(455\) | −2.92328 | + | 1.31858i | −0.137045 | + | 0.0618160i | ||||
\(456\) | −7.00718 | + | 2.88220i | −0.328141 | + | 0.134971i | ||||
\(457\) | 10.7472 | − | 18.6147i | 0.502733 | − | 0.870759i | −0.497262 | − | 0.867601i | \(-0.665661\pi\) |
0.999995 | − | 0.00315885i | \(-0.00100550\pi\) | |||||||
\(458\) | 7.09385 | − | 17.0862i | 0.331474 | − | 0.798387i | ||||
\(459\) | 12.5670 | + | 21.7666i | 0.586575 | + | 1.01598i | ||||
\(460\) | −12.4151 | + | 12.3742i | −0.578856 | + | 0.576951i | ||||
\(461\) | 27.8967 | 1.29928 | 0.649639 | − | 0.760243i | \(-0.274920\pi\) | ||||
0.649639 | + | 0.760243i | \(0.274920\pi\) | |||||||
\(462\) | 4.85405 | + | 7.84983i | 0.225831 | + | 0.365207i | ||||
\(463\) | 38.9342i | 1.80942i | 0.426024 | + | 0.904712i | \(0.359914\pi\) | ||||
−0.426024 | + | 0.904712i | \(0.640086\pi\) | |||||||
\(464\) | −10.3694 | − | 18.0978i | −0.481387 | − | 0.840169i | ||||
\(465\) | 3.06722 | − | 1.77086i | 0.142239 | − | 0.0821216i | ||||
\(466\) | −11.3150 | + | 27.2532i | −0.524156 | + | 1.26248i | ||||
\(467\) | −21.6588 | − | 12.5047i | −1.00225 | − | 0.578650i | −0.0933379 | − | 0.995634i | \(-0.529754\pi\) |
−0.908914 | + | 0.416984i | \(0.863087\pi\) | |||||||
\(468\) | −1.19941 | + | 4.44692i | −0.0554425 | + | 0.205559i | ||||
\(469\) | 0.204072 | − | 2.03676i | 0.00942316 | − | 0.0940486i | ||||
\(470\) | −8.61792 | − | 11.2503i | −0.397515 | − | 0.518936i | ||||
\(471\) | −10.0164 | − | 5.78295i | −0.461529 | − | 0.266464i | ||||
\(472\) | 19.7646 | − | 25.6264i | 0.909741 | − | 1.17955i | ||||
\(473\) | −13.6524 | − | 23.6467i | −0.627738 | − | 1.08727i | ||||
\(474\) | 2.28290 | − | 0.298636i | 0.104857 | − | 0.0137168i | ||||
\(475\) | 2.55407i | 0.117189i | ||||||||
\(476\) | 25.5469 | − | 4.13035i | 1.17094 | − | 0.189314i | ||||
\(477\) | 15.4251i | 0.706268i | ||||||||
\(478\) | 0.541062 | + | 4.13611i | 0.0247476 | + | 0.189181i | ||||
\(479\) | 4.29962 | + | 7.44716i | 0.196455 | + | 0.340269i | 0.947376 | − | 0.320122i | \(-0.103724\pi\) |
−0.750922 | + | 0.660391i | \(0.770391\pi\) | |||||||
\(480\) | −3.59242 | − | 4.72189i | −0.163971 | − | 0.215524i | ||||
\(481\) | −7.47116 | − | 4.31348i | −0.340655 | − | 0.196678i | ||||
\(482\) | −1.03539 | + | 0.793127i | −0.0471607 | + | 0.0361260i | ||||
\(483\) | −19.7451 | − | 14.1996i | −0.898431 | − | 0.646103i | ||||
\(484\) | 2.84836 | − | 10.5606i | 0.129471 | − | 0.480027i | ||||
\(485\) | 11.5690 | + | 6.67938i | 0.525323 | + | 0.303295i | ||||
\(486\) | −20.5615 | − | 8.53670i | −0.932688 | − | 0.387233i | ||||
\(487\) | −12.9204 | + | 7.45959i | −0.585478 | + | 0.338026i | −0.763308 | − | 0.646035i | \(-0.776426\pi\) |
0.177829 | + | 0.984061i | \(0.443093\pi\) | |||||||
\(488\) | 0.421886 | − | 3.14446i | 0.0190979 | − | 0.142343i | ||||
\(489\) | − | 13.3496i | − | 0.603688i | ||||||
\(490\) | −9.87550 | − | 0.688910i | −0.446129 | − | 0.0311218i | ||||
\(491\) | 3.92024 | 0.176918 | 0.0884589 | − | 0.996080i | \(-0.471806\pi\) | ||||
0.0884589 | + | 0.996080i | \(0.471806\pi\) | |||||||
\(492\) | −4.72102 | − | 4.73661i | −0.212840 | − | 0.213543i | ||||
\(493\) | 12.7510 | + | 22.0854i | 0.574276 | + | 0.994675i | ||||
\(494\) | 4.04344 | + | 1.67875i | 0.181923 | + | 0.0755306i | ||||
\(495\) | 2.23416 | − | 3.86967i | 0.100418 | − | 0.173929i | ||||
\(496\) | −11.6753 | − | 6.79214i | −0.524236 | − | 0.304976i | ||||
\(497\) | 3.91146 | − | 5.43904i | 0.175453 | − | 0.243974i | ||||
\(498\) | 4.03647 | + | 5.26941i | 0.180878 | + | 0.236128i | ||||
\(499\) | 5.70995 | − | 9.88993i | 0.255613 | − | 0.442734i | −0.709449 | − | 0.704757i | \(-0.751056\pi\) |
0.965062 | + | 0.262023i | \(0.0843895\pi\) | |||||||
\(500\) | −1.93270 | + | 0.514454i | −0.0864331 | + | 0.0230071i | ||||
\(501\) | −13.6756 | + | 7.89564i | −0.610983 | + | 0.352751i | ||||
\(502\) | 1.70681 | + | 13.0476i | 0.0761787 | + | 0.582342i | ||||
\(503\) | −22.9658 | −1.02399 | −0.511997 | − | 0.858987i | \(-0.671094\pi\) | ||||
−0.511997 | + | 0.858987i | \(0.671094\pi\) | |||||||
\(504\) | −9.76232 | + | 10.3366i | −0.434848 | + | 0.460430i | ||||
\(505\) | 1.59804 | 0.0711118 | ||||||||
\(506\) | −3.78101 | − | 28.9036i | −0.168086 | − | 1.28492i | ||||
\(507\) | 10.4736 | − | 6.04696i | 0.465151 | − | 0.268555i | ||||
\(508\) | −1.29132 | − | 4.85124i | −0.0572931 | − | 0.215239i | ||||
\(509\) | 12.4956 | − | 21.6429i | 0.553856 | − | 0.959306i | −0.444136 | − | 0.895959i | \(-0.646489\pi\) |
0.997992 | − | 0.0633469i | \(-0.0201774\pi\) | |||||||
\(510\) | 4.41128 | + | 5.75870i | 0.195335 | + | 0.255000i | ||||
\(511\) | −33.8904 | − | 3.39563i | −1.49922 | − | 0.150214i | ||||
\(512\) | −8.81392 | + | 20.8402i | −0.389524 | + | 0.921016i | ||||
\(513\) | −6.56298 | + | 11.3674i | −0.289763 | + | 0.501883i | ||||
\(514\) | −39.3157 | − | 16.3231i | −1.73414 | − | 0.719980i | ||||
\(515\) | 1.77318 | + | 3.07124i | 0.0781357 | + | 0.135335i | ||||
\(516\) | −17.2494 | + | 17.1926i | −0.759361 | + | 0.756863i | ||||
\(517\) | 23.5673 | 1.03649 | ||||||||
\(518\) | −14.0061 | − | 22.6502i | −0.615392 | − | 0.995193i | ||||
\(519\) | 12.7879i | 0.561325i | ||||||||
\(520\) | −0.455886 | + | 3.39787i | −0.0199919 | + | 0.149007i | ||||
\(521\) | 14.0875 | − | 8.13341i | 0.617184 | − | 0.356331i | −0.158588 | − | 0.987345i | \(-0.550694\pi\) |
0.775772 | + | 0.631014i | \(0.217361\pi\) | |||||||
\(522\) | −12.9400 | − | 5.37243i | −0.566370 | − | 0.235145i | ||||
\(523\) | −16.4913 | − | 9.52126i | −0.721114 | − | 0.416336i | 0.0940483 | − | 0.995568i | \(-0.470019\pi\) |
−0.815163 | + | 0.579232i | \(0.803353\pi\) | |||||||
\(524\) | 10.5381 | + | 2.84230i | 0.460359 | + | 0.124166i | ||||
\(525\) | −1.14098 | − | 2.52953i | −0.0497964 | − | 0.110398i | ||||
\(526\) | 19.7663 | − | 15.1413i | 0.861850 | − | 0.660193i | ||||
\(527\) | 14.3021 | + | 8.25732i | 0.623009 | + | 0.359694i | ||||
\(528\) | 9.86658 | + | 0.0325182i | 0.429388 | + | 0.00141517i | ||||
\(529\) | 26.9069 | + | 46.6042i | 1.16987 | + | 2.02627i | ||||
\(530\) | 1.48927 | + | 11.3846i | 0.0646897 | + | 0.494516i | ||||
\(531\) | − | 21.7392i | − | 0.943399i | ||||||
\(532\) | 8.53886 | + | 10.4757i | 0.370207 | + | 0.454178i | ||||
\(533\) | 3.86427i | 0.167380i | ||||||||
\(534\) | −16.2731 | + | 2.12876i | −0.704207 | + | 0.0921205i | ||||
\(535\) | −4.99959 | − | 8.65954i | −0.216151 | − | 0.374385i | ||||
\(536\) | −1.73279 | − | 1.33643i | −0.0748449 | − | 0.0577250i | ||||
\(537\) | 1.26918 | + | 0.732763i | 0.0547693 | + | 0.0316211i | ||||
\(538\) | 7.05819 | + | 9.21412i | 0.304300 | + | 0.397249i | ||||
\(539\) | 10.8963 | − | 12.3406i | 0.469336 | − | 0.531548i | ||||
\(540\) | −9.92383 | − | 2.67662i | −0.427054 | − | 0.115183i | ||||
\(541\) | 33.7035 | + | 19.4587i | 1.44902 | + | 0.836595i | 0.998423 | − | 0.0561307i | \(-0.0178764\pi\) |
0.450601 | + | 0.892725i | \(0.351210\pi\) | |||||||
\(542\) | −8.02762 | + | 19.3353i | −0.344816 | + | 0.830523i | ||||
\(543\) | 23.3060 | − | 13.4557i | 1.00015 | − | 0.577439i | ||||
\(544\) | 10.6923 | − | 25.5157i | 0.458429 | − | 1.09398i | ||||
\(545\) | 4.81842i | 0.206398i | ||||||||
\(546\) | −4.75454 | + | 0.143700i | −0.203476 | + | 0.00614979i | ||||
\(547\) | −1.29047 | −0.0551764 | −0.0275882 | − | 0.999619i | \(-0.508783\pi\) | ||||
−0.0275882 | + | 0.999619i | \(0.508783\pi\) | |||||||
\(548\) | −21.2769 | − | 21.3471i | −0.908904 | − | 0.911905i | ||||
\(549\) | −1.06558 | − | 1.84564i | −0.0454779 | − | 0.0787701i | ||||
\(550\) | 1.27532 | − | 3.07174i | 0.0543799 | − | 0.130979i | ||||
\(551\) | −6.65909 | + | 11.5339i | −0.283687 | + | 0.491360i | ||||
\(552\) | −24.0453 | + | 9.89032i | −1.02344 | + | 0.420960i | ||||
\(553\) | −1.68858 | − | 3.74355i | −0.0718056 | − | 0.159192i | ||||
\(554\) | 7.17003 | − | 5.49238i | 0.304625 | − | 0.233349i | ||||
\(555\) | 3.73248 | − | 6.46485i | 0.158435 | − | 0.274418i | ||||
\(556\) | −7.85810 | − | 29.5213i | −0.333258 | − | 1.25198i | ||||
\(557\) | 5.64503 | − | 3.25916i | 0.239188 | − | 0.138095i | −0.375616 | − | 0.926776i | \(-0.622569\pi\) |
0.614803 | + | 0.788680i | \(0.289235\pi\) | |||||||
\(558\) | −8.99661 | + | 1.17689i | −0.380857 | + | 0.0498216i | ||||
\(559\) | 14.0726 | 0.595206 | ||||||||
\(560\) | −6.20715 | + | 8.57154i | −0.262300 | + | 0.362214i | ||||
\(561\) | −12.0634 | −0.509319 | ||||||||
\(562\) | 17.1861 | − | 2.24819i | 0.724951 | − | 0.0948340i | ||||
\(563\) | 24.9474 | − | 14.4034i | 1.05141 | − | 0.607030i | 0.128364 | − | 0.991727i | \(-0.459027\pi\) |
0.923043 | + | 0.384697i | \(0.125694\pi\) | |||||||
\(564\) | −5.40705 | − | 20.3132i | −0.227678 | − | 0.855340i | ||||
\(565\) | 4.38304 | − | 7.59165i | 0.184396 | − | 0.319383i | ||||
\(566\) | 18.9205 | − | 14.4935i | 0.795288 | − | 0.609206i | ||||
\(567\) | −0.0816740 | + | 0.815154i | −0.00342999 | + | 0.0342333i | ||||
\(568\) | −2.72442 | − | 6.62360i | −0.114314 | − | 0.277920i | ||||
\(569\) | 5.68292 | − | 9.84310i | 0.238240 | − | 0.412644i | −0.721969 | − | 0.691925i | \(-0.756763\pi\) |
0.960209 | + | 0.279281i | \(0.0900961\pi\) | |||||||
\(570\) | −1.45264 | + | 3.49882i | −0.0608443 | + | 0.146549i | ||||
\(571\) | −1.36107 | − | 2.35745i | −0.0569592 | − | 0.0986562i | 0.836140 | − | 0.548516i | \(-0.184807\pi\) |
−0.893099 | + | 0.449860i | \(0.851474\pi\) | |||||||
\(572\) | −4.02473 | − | 4.03801i | −0.168282 | − | 0.168838i | ||||
\(573\) | −7.43068 | −0.310421 | ||||||||
\(574\) | −5.64957 | + | 10.5061i | −0.235808 | + | 0.438515i | ||||
\(575\) | 8.76435i | 0.365499i | ||||||||
\(576\) | 3.86131 | + | 14.7009i | 0.160888 | + | 0.612539i | ||||
\(577\) | −8.29404 | + | 4.78857i | −0.345285 | + | 0.199351i | −0.662607 | − | 0.748967i | \(-0.730550\pi\) |
0.317321 | + | 0.948318i | \(0.397217\pi\) | |||||||
\(578\) | −3.75142 | + | 9.03566i | −0.156038 | + | 0.375834i | ||||
\(579\) | 17.2781 | + | 9.97554i | 0.718055 | + | 0.414569i | ||||
\(580\) | −10.0692 | − | 2.71582i | −0.418099 | − | 0.112768i | ||||
\(581\) | 6.91270 | − | 9.61238i | 0.286787 | − | 0.398789i | ||||
\(582\) | 12.0495 | + | 15.7300i | 0.499467 | + | 0.652030i | ||||
\(583\) | −16.5356 | − | 9.54684i | −0.684835 | − | 0.395390i | ||||
\(584\) | −22.2374 | + | 28.8325i | −0.920191 | + | 1.19310i | ||||
\(585\) | 1.15146 | + | 1.99438i | 0.0476069 | + | 0.0824576i | ||||
\(586\) | 37.9199 | − | 4.96047i | 1.56646 | − | 0.204915i | ||||
\(587\) | − | 37.9535i | − | 1.56651i | −0.621703 | − | 0.783253i | \(-0.713559\pi\) | ||
0.621703 | − | 0.783253i | \(-0.286441\pi\) | |||||||
\(588\) | −13.1366 | − | 6.56046i | −0.541745 | − | 0.270549i | ||||
\(589\) | 8.62461i | 0.355371i | ||||||||
\(590\) | −2.09888 | − | 16.0447i | −0.0864094 | − | 0.660550i | ||||
\(591\) | 13.5009 | + | 23.3843i | 0.555353 | + | 0.961900i | ||||
\(592\) | −28.4694 | − | 0.0938293i | −1.17009 | − | 0.00385636i | ||||
\(593\) | 22.1702 | + | 12.7999i | 0.910419 | + | 0.525631i | 0.880566 | − | 0.473923i | \(-0.157163\pi\) |
0.0298534 | + | 0.999554i | \(0.490496\pi\) | |||||||
\(594\) | 13.5693 | − | 10.3943i | 0.556754 | − | 0.426484i | ||||
\(595\) | 7.55459 | − | 10.5049i | 0.309708 | − | 0.430661i | ||||
\(596\) | 8.19645 | + | 2.21071i | 0.335740 | + | 0.0905544i | ||||
\(597\) | 6.14497 | + | 3.54780i | 0.251497 | + | 0.145202i | ||||
\(598\) | 13.8752 | + | 5.76068i | 0.567397 | + | 0.235572i | ||||
\(599\) | −28.0612 | + | 16.2011i | −1.14655 | + | 0.661960i | −0.948044 | − | 0.318140i | \(-0.896942\pi\) |
−0.198504 | + | 0.980100i | \(0.563608\pi\) | |||||||
\(600\) | −2.94021 | − | 0.394481i | −0.120033 | − | 0.0161046i | ||||
\(601\) | 22.3390i | 0.911226i | 0.890178 | + | 0.455613i | \(0.150580\pi\) | ||||
−0.890178 | + | 0.455613i | \(0.849420\pi\) | |||||||
\(602\) | 38.2601 | + | 20.5741i | 1.55937 | + | 0.838538i | ||||
\(603\) | −1.46994 | −0.0598607 | ||||||||
\(604\) | −1.69671 | + | 1.69113i | −0.0690382 | + | 0.0688110i | ||||
\(605\) | −2.73450 | − | 4.73629i | −0.111173 | − | 0.192557i | ||||
\(606\) | 2.18915 | + | 0.908890i | 0.0889282 | + | 0.0369211i | ||||
\(607\) | −14.9462 | + | 25.8877i | −0.606649 | + | 1.05075i | 0.385139 | + | 0.922858i | \(0.374153\pi\) |
−0.991789 | + | 0.127889i | \(0.959180\pi\) | |||||||
\(608\) | 14.3320 | − | 1.82681i | 0.581241 | − | 0.0740871i | ||||
\(609\) | 1.44259 | − | 14.3979i | 0.0584566 | − | 0.583432i | ||||
\(610\) | −0.964652 | − | 1.25931i | −0.0390576 | − | 0.0509878i | ||||
\(611\) | −6.07314 | + | 10.5190i | −0.245693 | + | 0.425552i | ||||
\(612\) | −4.78024 | − | 17.9584i | −0.193230 | − | 0.725927i | ||||
\(613\) | 7.53192 | − | 4.34856i | 0.304211 | − | 0.175637i | −0.340122 | − | 0.940381i | \(-0.610468\pi\) |
0.644333 | + | 0.764745i | \(0.277135\pi\) | |||||||
\(614\) | −0.609636 | − | 4.66031i | −0.0246029 | − | 0.188075i | ||||
\(615\) | −3.34378 | −0.134834 | ||||||||
\(616\) | −5.03874 | − | 16.8626i | −0.203017 | − | 0.679414i | ||||
\(617\) | 14.2056 | 0.571897 | 0.285948 | − | 0.958245i | \(-0.407691\pi\) | ||||
0.285948 | + | 0.958245i | \(0.407691\pi\) | |||||||
\(618\) | 0.682301 | + | 5.21579i | 0.0274462 | + | 0.209810i | ||||
\(619\) | 16.3642 | − | 9.44785i | 0.657731 | − | 0.379741i | −0.133681 | − | 0.991024i | \(-0.542680\pi\) |
0.791412 | + | 0.611283i | \(0.209346\pi\) | |||||||
\(620\) | −6.52637 | + | 1.73721i | −0.262105 | + | 0.0697682i | ||||
\(621\) | −22.5210 | + | 39.0075i | −0.903737 | + | 1.56532i | ||||
\(622\) | −29.7450 | − | 38.8306i | −1.19267 | − | 1.55697i | ||||
\(623\) | 12.0366 | + | 26.6850i | 0.482237 | + | 1.06911i | ||||
\(624\) | −2.55707 | + | 4.39546i | −0.102365 | + | 0.175959i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 18.9026 | + | 7.84797i | 0.755501 | + | 0.313668i | ||||
\(627\) | −3.15001 | − | 5.45597i | −0.125799 | − | 0.217891i | ||||
\(628\) | 15.5694 | + | 15.6207i | 0.621285 | + | 0.623336i | ||||
\(629\) | 34.8083 | 1.38790 | ||||||||
\(630\) | 0.214761 | + | 7.10571i | 0.00855628 | + | 0.283098i | ||||
\(631\) | − | 3.99376i | − | 0.158989i | −0.996835 | − | 0.0794945i | \(-0.974669\pi\) | ||
0.996835 | − | 0.0794945i | \(-0.0253306\pi\) | |||||||
\(632\) | −4.35132 | − | 0.583808i | −0.173086 | − | 0.0232226i | ||||
\(633\) | −13.4043 | + | 7.73897i | −0.532773 | + | 0.307596i | ||||
\(634\) | 19.8264 | + | 8.23152i | 0.787408 | + | 0.326915i | ||||
\(635\) | −2.17379 | − | 1.25504i | −0.0862644 | − | 0.0498048i | ||||
\(636\) | −4.43489 | + | 16.4428i | −0.175855 | + | 0.651999i | ||||
\(637\) | 2.70019 | + | 8.04353i | 0.106985 | + | 0.318696i | ||||
\(638\) | 13.7680 | − | 10.5465i | 0.545079 | − | 0.417541i | ||||
\(639\) | −4.16642 | − | 2.40548i | −0.164821 | − | 0.0951594i | ||||
\(640\) | 4.26921 | + | 10.4773i | 0.168755 | + | 0.414152i | ||||
\(641\) | 9.65359 | + | 16.7205i | 0.381294 | + | 0.660420i | 0.991247 | − | 0.132017i | \(-0.0421453\pi\) |
−0.609954 | + | 0.792437i | \(0.708812\pi\) | |||||||
\(642\) | −1.92379 | − | 14.7062i | −0.0759258 | − | 0.580409i | ||||
\(643\) | 21.3394i | 0.841544i | 0.907166 | + | 0.420772i | \(0.138241\pi\) | ||||
−0.907166 | + | 0.420772i | \(0.861759\pi\) | |||||||
\(644\) | 29.3013 | + | 35.9475i | 1.15463 | + | 1.41653i | ||||
\(645\) | 12.1771i | 0.479473i | ||||||||
\(646\) | −17.5156 | + | 2.29129i | −0.689143 | + | 0.0901497i | ||||
\(647\) | −11.9178 | − | 20.6422i | −0.468535 | − | 0.811527i | 0.530818 | − | 0.847486i | \(-0.321885\pi\) |
−0.999353 | + | 0.0359589i | \(0.988551\pi\) | |||||||
\(648\) | 0.693499 | + | 0.534869i | 0.0272432 | + | 0.0210116i | ||||
\(649\) | 23.3042 | + | 13.4547i | 0.914769 | + | 0.528142i | ||||
\(650\) | 1.04239 | + | 1.36079i | 0.0408860 | + | 0.0533747i | ||||
\(651\) | −3.85287 | − | 8.54176i | −0.151006 | − | 0.334778i | ||||
\(652\) | −6.62901 | + | 24.5777i | −0.259612 | + | 0.962537i | ||||
\(653\) | 3.56712 | + | 2.05948i | 0.139592 | + | 0.0805936i | 0.568170 | − | 0.822911i | \(-0.307652\pi\) |
−0.428577 | + | 0.903505i | \(0.640985\pi\) | |||||||
\(654\) | −2.74049 | + | 6.60075i | −0.107162 | + | 0.258110i | ||||
\(655\) | 4.72620 | − | 2.72867i | 0.184668 | − | 0.106618i | ||||
\(656\) | 6.33975 | + | 11.0648i | 0.247526 | + | 0.432009i | ||||
\(657\) | 24.4590i | 0.954235i | ||||||||
\(658\) | −31.8903 | + | 19.7198i | −1.24321 | + | 0.768758i | ||||
\(659\) | 39.8908 | 1.55393 | 0.776963 | − | 0.629546i | \(-0.216759\pi\) | ||||
0.776963 | + | 0.629546i | \(0.216759\pi\) | |||||||
\(660\) | 3.49412 | − | 3.48263i | 0.136009 | − | 0.135561i | ||||
\(661\) | −20.1318 | − | 34.8692i | −0.783035 | − | 1.35626i | −0.930166 | − | 0.367139i | \(-0.880337\pi\) |
0.147132 | − | 0.989117i | \(-0.452996\pi\) | |||||||
\(662\) | −8.92666 | + | 21.5008i | −0.346945 | + | 0.835650i | ||||
\(663\) | 3.10867 | − | 5.38438i | 0.120731 | − | 0.209112i | ||||
\(664\) | −4.81485 | − | 11.7058i | −0.186853 | − | 0.454275i | ||||
\(665\) | 6.72377 | + | 0.673685i | 0.260737 | + | 0.0261244i | ||||
\(666\) | −15.1816 | + | 11.6294i | −0.588277 | + | 0.450631i | ||||
\(667\) | −22.8508 | + | 39.5788i | −0.884787 | + | 1.53250i | ||||
\(668\) | 29.0988 | − | 7.74563i | 1.12587 | − | 0.299688i | ||||
\(669\) | 13.1272 | − | 7.57898i | 0.507526 | − | 0.293020i | ||||
\(670\) | −1.08490 | + | 0.141920i | −0.0419133 | + | 0.00548286i | ||||
\(671\) | 2.63802 | 0.101839 | ||||||||
\(672\) | −13.3783 | + | 8.21181i | −0.516078 | + | 0.316778i | ||||
\(673\) | −23.6181 | −0.910412 | −0.455206 | − | 0.890386i | \(-0.650434\pi\) | ||||
−0.455206 | + | 0.890386i | \(0.650434\pi\) | |||||||
\(674\) | 39.6678 | − | 5.18911i | 1.52795 | − | 0.199877i | ||||
\(675\) | −4.45070 | + | 2.56962i | −0.171308 | + | 0.0989045i | ||||
\(676\) | −22.2857 | + | 5.93208i | −0.857141 | + | 0.228157i | ||||
\(677\) | −12.2908 | + | 21.2883i | −0.472374 | + | 0.818175i | −0.999500 | − | 0.0316116i | \(-0.989936\pi\) |
0.527127 | + | 0.849787i | \(0.323269\pi\) | |||||||
\(678\) | 10.3221 | − | 7.90693i | 0.396418 | − | 0.303664i | ||||
\(679\) | 20.6355 | − | 28.6945i | 0.791918 | − | 1.10119i | ||||
\(680\) | −5.26194 | − | 12.7928i | −0.201786 | − | 0.490581i | ||||
\(681\) | 2.40916 | − | 4.17279i | 0.0923192 | − | 0.159902i | ||||
\(682\) | 4.30652 | − | 10.3727i | 0.164905 | − | 0.397190i | ||||
\(683\) | −10.5724 | − | 18.3120i | −0.404543 | − | 0.700688i | 0.589726 | − | 0.807604i | \(-0.299236\pi\) |
−0.994268 | + | 0.106915i | \(0.965903\pi\) | |||||||
\(684\) | 6.87391 | − | 6.85129i | 0.262831 | − | 0.261966i | ||||
\(685\) | −15.0699 | −0.575791 | ||||||||
\(686\) | −4.41845 | + | 25.8162i | −0.168697 | + | 0.985668i | ||||
\(687\) | − | 13.7205i | − | 0.523471i | ||||||
\(688\) | 40.2950 | − | 23.0876i | 1.53623 | − | 0.880206i | ||||
\(689\) | 8.52225 | − | 4.92032i | 0.324672 | − | 0.187449i | ||||
\(690\) | −4.98476 | + | 12.0063i | −0.189766 | + | 0.457071i | ||||
\(691\) | −1.87978 | − | 1.08529i | −0.0715102 | − | 0.0412864i | 0.463819 | − | 0.885930i | \(-0.346479\pi\) |
−0.535329 | + | 0.844644i | \(0.679812\pi\) | |||||||
\(692\) | 6.35008 | − | 23.5436i | 0.241394 | − | 0.894993i | ||||
\(693\) | −9.59789 | − | 6.90228i | −0.364594 | − | 0.262196i | ||||
\(694\) | −0.844294 | − | 1.10218i | −0.0320490 | − | 0.0418384i | ||||
\(695\) | −13.2282 | − | 7.63733i | −0.501776 | − | 0.289700i | ||||
\(696\) | −12.2491 | − | 9.44727i | −0.464301 | − | 0.358098i | ||||
\(697\) | −7.79584 | − | 13.5028i | −0.295289 | − | 0.511455i | ||||
\(698\) | 36.2552 | − | 4.74270i | 1.37228 | − | 0.179514i | ||||
\(699\) | 21.8848i | 0.827759i | ||||||||
\(700\) | 0.844549 | + | 5.22367i | 0.0319210 | + | 0.197436i | ||||
\(701\) | − | 45.6142i | − | 1.72283i | −0.507906 | − | 0.861413i | \(-0.669580\pi\) | ||
0.507906 | − | 0.861413i | \(-0.330420\pi\) | |||||||
\(702\) | 1.14267 | + | 8.73504i | 0.0431272 | + | 0.329683i | ||||
\(703\) | 9.08916 | + | 15.7429i | 0.342804 | + | 0.593754i | ||||
\(704\) | −18.1491 | − | 4.95933i | −0.684020 | − | 0.186912i | ||||
\(705\) | −9.10216 | − | 5.25513i | −0.342807 | − | 0.197920i | ||||
\(706\) | −14.8677 | + | 11.3889i | −0.559552 | + | 0.428627i | ||||
\(707\) | 0.421513 | − | 4.20695i | 0.0158526 | − | 0.158219i | ||||
\(708\) | 6.25023 | − | 23.1734i | 0.234898 | − | 0.870908i | ||||
\(709\) | 22.2197 | + | 12.8285i | 0.834477 | + | 0.481785i | 0.855383 | − | 0.517996i | \(-0.173322\pi\) |
−0.0209062 | + | 0.999781i | \(0.506655\pi\) | |||||||
\(710\) | −3.30729 | − | 1.37312i | −0.124120 | − | 0.0515322i | ||||
\(711\) | −2.55401 | + | 1.47456i | −0.0957828 | + | 0.0553002i | ||||
\(712\) | 31.0174 | + | 4.16154i | 1.16242 | + | 0.155960i | ||||
\(713\) | 29.5956i | 1.10836i | ||||||||
\(714\) | 16.3238 | − | 10.0940i | 0.610901 | − | 0.377759i | ||||
\(715\) | −2.85061 | −0.106607 | ||||||||
\(716\) | −1.97281 | − | 1.97932i | −0.0737274 | − | 0.0739708i | ||||
\(717\) | 1.54681 | + | 2.67916i | 0.0577668 | + | 0.100055i | ||||
\(718\) | 7.00366 | + | 2.90777i | 0.261374 | + | 0.108517i | ||||
\(719\) | 11.6722 | − | 20.2169i | 0.435301 | − | 0.753964i | −0.562019 | − | 0.827124i | \(-0.689975\pi\) |
0.997320 | + | 0.0731603i | \(0.0233085\pi\) | |||||||
\(720\) | 6.56905 | + | 3.82157i | 0.244814 | + | 0.142421i | ||||
\(721\) | 8.55297 | − | 3.85793i | 0.318529 | − | 0.143677i | ||||
\(722\) | 10.7299 | + | 14.0074i | 0.399326 | + | 0.521300i | ||||
\(723\) | −0.483642 | + | 0.837693i | −0.0179868 | + | 0.0311541i | ||||
\(724\) | −49.5900 | + | 13.2001i | −1.84300 | + | 0.490576i | ||||
\(725\) | −4.51588 | + | 2.60725i | −0.167716 | + | 0.0968307i | ||||
\(726\) | −1.05220 | − | 8.04349i | −0.0390510 | − | 0.298522i | ||||
\(727\) | 17.2636 | 0.640273 | 0.320136 | − | 0.947371i | \(-0.396271\pi\) | ||||
0.320136 | + | 0.947371i | \(0.396271\pi\) | |||||||
\(728\) | 8.82489 | + | 2.09640i | 0.327072 | + | 0.0776979i | ||||
\(729\) | −15.5823 | −0.577122 | ||||||||
\(730\) | 2.36147 | + | 18.0521i | 0.0874020 | + | 0.668137i | ||||
\(731\) | −49.1733 | + | 28.3902i | −1.81874 | + | 1.05005i | ||||
\(732\) | −0.605241 | − | 2.27377i | −0.0223704 | − | 0.0840410i | ||||
\(733\) | 13.4244 | − | 23.2518i | 0.495843 | − | 0.858825i | −0.504146 | − | 0.863619i | \(-0.668193\pi\) |
0.999989 | + | 0.00479386i | \(0.00152594\pi\) | |||||||
\(734\) | 18.3876 | + | 24.0041i | 0.678698 | + | 0.886007i | ||||
\(735\) | −6.96013 | + | 2.33649i | −0.256728 | + | 0.0861829i | ||||
\(736\) | 49.1807 | − | 6.26876i | 1.81283 | − | 0.231069i | ||||
\(737\) | 0.909769 | − | 1.57577i | 0.0335118 | − | 0.0580441i | ||||
\(738\) | 7.91142 | + | 3.28466i | 0.291224 | + | 0.120910i | ||||
\(739\) | −6.14064 | − | 10.6359i | −0.225887 | − | 0.391248i | 0.730698 | − | 0.682701i | \(-0.239195\pi\) |
−0.956585 | + | 0.291453i | \(0.905861\pi\) | |||||||
\(740\) | −10.0821 | + | 10.0489i | −0.370625 | + | 0.369406i | ||||
\(741\) | 3.24695 | 0.119280 | ||||||||
\(742\) | 30.3636 | − | 0.917701i | 1.11468 | − | 0.0336899i | ||||
\(743\) | 24.4507i | 0.897009i | 0.893781 | + | 0.448505i | \(0.148043\pi\) | ||||
−0.893781 | + | 0.448505i | \(0.851957\pi\) | |||||||
\(744\) | −9.92852 | − | 1.33209i | −0.363997 | − | 0.0488368i | ||||
\(745\) | 3.67599 | − | 2.12234i | 0.134678 | − | 0.0777564i | ||||
\(746\) | −11.1336 | − | 4.62244i | −0.407630 | − | 0.169239i | ||||
\(747\) | −7.36328 | − | 4.25119i | −0.269408 | − | 0.155543i | ||||
\(748\) | 22.2098 | + | 5.99036i | 0.812072 | + | 0.219029i | ||||
\(749\) | −24.1156 | + | 10.8777i | −0.881165 | + | 0.397461i | ||||
\(750\) | −1.17750 | + | 0.901991i | −0.0429964 | + | 0.0329360i | ||||
\(751\) | −31.9771 | − | 18.4620i | −1.16686 | − | 0.673687i | −0.213921 | − | 0.976851i | \(-0.568624\pi\) |
−0.952938 | + | 0.303164i | \(0.901957\pi\) | |||||||
\(752\) | −0.132106 | + | 40.0834i | −0.00481743 | + | 1.46169i | ||||
\(753\) | 4.87951 | + | 8.45156i | 0.177819 | + | 0.307992i | ||||
\(754\) | 1.15940 | + | 8.86296i | 0.0422229 | + | 0.322770i | ||||
\(755\) | 1.19778i | 0.0435918i | ||||||||
\(756\) | −9.66399 | + | 25.4192i | −0.351476 | + | 0.924487i | ||||
\(757\) | − | 14.6178i | − | 0.531293i | −0.964071 | − | 0.265646i | \(-0.914415\pi\) | ||
0.964071 | − | 0.265646i | \(-0.0855854\pi\) | |||||||
\(758\) | 6.24086 | − | 0.816394i | 0.226678 | − | 0.0296528i | ||||
\(759\) | −10.8093 | − | 18.7223i | −0.392354 | − | 0.679577i | ||||
\(760\) | 4.41185 | − | 5.72030i | 0.160034 | − | 0.207497i | ||||
\(761\) | −15.3433 | − | 8.85843i | −0.556193 | − | 0.321118i | 0.195423 | − | 0.980719i | \(-0.437392\pi\) |
−0.751616 | + | 0.659601i | \(0.770725\pi\) | |||||||
\(762\) | −2.26407 | − | 2.95563i | −0.0820186 | − | 0.107071i | ||||
\(763\) | 12.6848 | + | 1.27095i | 0.459221 | + | 0.0460115i | ||||
\(764\) | 13.6805 | + | 3.68986i | 0.494945 | + | 0.133495i | ||||
\(765\) | −8.04700 | − | 4.64594i | −0.290940 | − | 0.167974i | ||||
\(766\) | −6.26236 | + | 15.0835i | −0.226268 | + | 0.544989i | ||||
\(767\) | −12.0107 | + | 6.93437i | −0.433681 | + | 0.250386i | ||||
\(768\) | −0.110614 | + | 16.7810i | −0.00399145 | + | 0.605531i | ||||
\(769\) | 3.82227i | 0.137834i | 0.997622 | + | 0.0689172i | \(0.0219544\pi\) | ||||
−0.997622 | + | 0.0689172i | \(0.978046\pi\) | |||||||
\(770\) | −7.75017 | − | 4.16760i | −0.279297 | − | 0.150190i | ||||
\(771\) | −31.5712 | −1.13701 | ||||||||
\(772\) | −26.8570 | − | 26.9457i | −0.966605 | − | 0.969796i | ||||
\(773\) | −22.2173 | − | 38.4815i | −0.799101 | − | 1.38408i | −0.920202 | − | 0.391443i | \(-0.871976\pi\) |
0.121102 | − | 0.992640i | \(-0.461357\pi\) | |||||||
\(774\) | 11.9618 | − | 28.8111i | 0.429958 | − | 1.03560i | ||||
\(775\) | −1.68841 | + | 2.92441i | −0.0606493 | + | 0.105048i | ||||
\(776\) | −14.3731 | − | 34.9438i | −0.515964 | − | 1.25441i | ||||
\(777\) | −16.0347 | − | 11.5313i | −0.575240 | − | 0.413681i | ||||
\(778\) | −11.0534 | + | 8.46708i | −0.396282 | + | 0.303560i | ||||
\(779\) | 4.07131 | − | 7.05171i | 0.145870 | − | 0.252654i | ||||
\(780\) | 0.654018 | + | 2.45702i | 0.0234176 | + | 0.0879753i | ||||
\(781\) | 5.15731 | − | 2.97758i | 0.184543 | − | 0.106546i | ||||
\(782\) | −60.1052 | + | 7.86263i | −2.14936 | + | 0.281167i | ||||
\(783\) | −26.7985 | −0.957699 | ||||||||
\(784\) | 20.9279 | + | 18.6017i | 0.747426 | + | 0.664345i | ||||
\(785\) | 11.0274 | 0.393584 | ||||||||
\(786\) | 8.02636 | − | 1.04996i | 0.286291 | − | 0.0374509i | ||||
\(787\) | 46.4327 | − | 26.8079i | 1.65515 | − | 0.955600i | 0.680240 | − | 0.732989i | \(-0.261875\pi\) |
0.974907 | − | 0.222611i | \(-0.0714580\pi\) | |||||||
\(788\) | −13.2444 | − | 49.7566i | −0.471813 | − | 1.77251i | ||||
\(789\) | 9.23305 | − | 15.9921i | 0.328705 | − | 0.569334i | ||||
\(790\) | −1.74263 | + | 1.33489i | −0.0620001 | + | 0.0474933i | ||||
\(791\) | −18.8294 | − | 13.5411i | −0.669498 | − | 0.481466i | ||||
\(792\) | −11.6882 | + | 4.80759i | −0.415322 | + | 0.170830i | ||||
\(793\) | −0.679800 | + | 1.17745i | −0.0241404 | + | 0.0418124i | ||||
\(794\) | −15.0976 | + | 36.3640i | −0.535793 | + | 1.29051i | ||||
\(795\) | 4.25759 | + | 7.37437i | 0.151001 | + | 0.261542i | ||||
\(796\) | −9.55169 | − | 9.58322i | −0.338551 | − | 0.339668i | ||||
\(797\) | −30.6896 | −1.08708 | −0.543541 | − | 0.839383i | \(-0.682917\pi\) | ||||
−0.543541 | + | 0.839383i | \(0.682917\pi\) | |||||||
\(798\) | 8.82773 | + | 4.74705i | 0.312498 | + | 0.168044i | ||||
\(799\) | − | 49.0082i | − | 1.73379i | ||||||
\(800\) | 5.21729 | + | 2.18630i | 0.184459 | + | 0.0772973i | ||||
\(801\) | 18.2057 | − | 10.5110i | 0.643265 | − | 0.371389i | ||||
\(802\) | 19.7714 | − | 47.6214i | 0.698152 | − | 1.68157i | ||||
\(803\) | −26.2198 | − | 15.1380i | −0.925277 | − | 0.534209i | ||||
\(804\) | −1.56692 | − | 0.422624i | −0.0552610 | − | 0.0149048i | ||||
\(805\) | 23.0728 | + | 2.31176i | 0.813208 | + | 0.0814790i | ||||
\(806\) | 3.51997 | + | 4.59514i | 0.123986 | + | 0.161857i | ||||
\(807\) | 7.45478 | + | 4.30402i | 0.262421 | + | 0.151509i | ||||
\(808\) | −3.57909 | − | 2.76042i | −0.125912 | − | 0.0971111i | ||||
\(809\) | −4.24657 | − | 7.35528i | −0.149302 | − | 0.258598i | 0.781668 | − | 0.623695i | \(-0.214369\pi\) |
−0.930970 | + | 0.365097i | \(0.881036\pi\) | |||||||
\(810\) | 0.434201 | − | 0.0567997i | 0.0152563 | − | 0.00199574i | ||||
\(811\) | 21.1581i | 0.742961i | 0.928441 | + | 0.371480i | \(0.121150\pi\) | ||||
−0.928441 | + | 0.371480i | \(0.878850\pi\) | |||||||
\(812\) | −9.80551 | + | 25.7914i | −0.344106 | + | 0.905102i | ||||
\(813\) | 15.5266i | 0.544541i | ||||||||
\(814\) | −3.07050 | − | 23.4722i | −0.107621 | − | 0.822700i | ||||
\(815\) | 6.36400 | + | 11.0228i | 0.222921 | + | 0.386111i | ||||
\(816\) | 0.0676217 | − | 20.5176i | 0.00236723 | − | 0.718259i | ||||
\(817\) | −25.6803 | − | 14.8265i | −0.898441 | − | 0.518715i | ||||
\(818\) | −4.61029 | + | 3.53157i | −0.161195 | + | 0.123478i | ||||
\(819\) | 5.55407 | − | 2.50524i | 0.194075 | − | 0.0875400i | ||||
\(820\) | 6.15620 | + | 1.66043i | 0.214984 | + | 0.0579846i | ||||
\(821\) | 15.7431 | + | 9.08930i | 0.549439 | + | 0.317219i | 0.748896 | − | 0.662688i | \(-0.230584\pi\) |
−0.199457 | + | 0.979907i | \(0.563918\pi\) | |||||||
\(822\) | −20.6442 | − | 8.57106i | −0.720051 | − | 0.298950i | ||||
\(823\) | 29.4225 | − | 16.9871i | 1.02561 | − | 0.592133i | 0.109883 | − | 0.993945i | \(-0.464952\pi\) |
0.915723 | + | 0.401811i | \(0.131619\pi\) | |||||||
\(824\) | 1.33384 | − | 9.94155i | 0.0464664 | − | 0.346330i | ||||
\(825\) | − | 2.46666i | − | 0.0858780i | ||||||
\(826\) | −42.7924 | + | 1.29335i | −1.48894 | + | 0.0450012i | ||||
\(827\) | −29.9169 | −1.04031 | −0.520157 | − | 0.854071i | \(-0.674126\pi\) | ||||
−0.520157 | + | 0.854071i | \(0.674126\pi\) | |||||||
\(828\) | 23.5880 | − | 23.5104i | 0.819739 | − | 0.817042i | ||||
\(829\) | −7.84211 | − | 13.5829i | −0.272368 | − | 0.471755i | 0.697100 | − | 0.716974i | \(-0.254473\pi\) |
−0.969468 | + | 0.245219i | \(0.921140\pi\) | |||||||
\(830\) | −5.84495 | − | 2.42670i | −0.202881 | − | 0.0842321i | ||||
\(831\) | 3.34921 | − | 5.80099i | 0.116183 | − | 0.201234i | ||||
\(832\) | 6.89045 | − | 6.82266i | 0.238883 | − | 0.236533i | ||||
\(833\) | −25.6623 | − | 22.6589i | −0.889148 | − | 0.785083i | ||||
\(834\) | −13.7776 | − | 17.9860i | −0.477079 | − | 0.622803i | ||||
\(835\) | 7.52802 | − | 13.0389i | 0.260518 | − | 0.451230i | ||||
\(836\) | 3.09016 | + | 11.6091i | 0.106876 | + | 0.401510i | ||||
\(837\) | −15.0292 | + | 8.67711i | −0.519485 | + | 0.299925i | ||||
\(838\) | 7.31025 | + | 55.8826i | 0.252528 | + | 1.93043i | ||||
\(839\) | −10.8159 | −0.373405 | −0.186702 | − | 0.982417i | \(-0.559780\pi\) | ||||
−0.186702 | + | 0.982417i | \(0.559780\pi\) | |||||||
\(840\) | −1.81404 | + | 7.63624i | −0.0625902 | + | 0.263475i | ||||
\(841\) | 1.80909 | 0.0623823 | ||||||||
\(842\) | 1.88198 | + | 14.3866i | 0.0648572 | + | 0.495796i | ||||
\(843\) | 11.1323 | − | 6.42722i | 0.383416 | − | 0.221365i | ||||
\(844\) | 28.5214 | − | 7.59194i | 0.981748 | − | 0.261325i | ||||
\(845\) | −5.76541 | + | 9.98599i | −0.198336 | + | 0.343529i | ||||
\(846\) | 16.3736 | + | 21.3749i | 0.562936 | + | 0.734885i | ||||
\(847\) | −13.1899 | + | 5.94947i | −0.453210 | + | 0.204426i | ||||
\(848\) | 16.3300 | − | 28.0704i | 0.560776 | − | 0.963941i | ||||
\(849\) | 8.83799 | − | 15.3078i | 0.303319 | − | 0.525364i | ||||
\(850\) | −6.38769 | − | 2.65204i | −0.219096 | − | 0.0909641i | ||||
\(851\) | 31.1897 | + | 54.0221i | 1.06917 | + | 1.85185i | ||||
\(852\) | −3.74969 | − | 3.76207i | −0.128462 | − | 0.128886i | ||||
\(853\) | −37.5530 | −1.28579 | −0.642894 | − | 0.765955i | \(-0.722267\pi\) | ||||
−0.642894 | + | 0.765955i | \(0.722267\pi\) | |||||||
\(854\) | −3.56966 | + | 2.20735i | −0.122151 | + | 0.0755339i | ||||
\(855\) | − | 4.85260i | − | 0.165955i | ||||||
\(856\) | −3.76083 | + | 28.0308i | −0.128543 | + | 0.958073i | ||||
\(857\) | 4.42892 | − | 2.55704i | 0.151289 | − | 0.0873467i | −0.422444 | − | 0.906389i | \(-0.638828\pi\) |
0.573733 | + | 0.819042i | \(0.305495\pi\) | |||||||
\(858\) | −3.90505 | − | 1.62130i | −0.133316 | − | 0.0553502i | ||||
\(859\) | −29.0706 | − | 16.7839i | −0.991876 | − | 0.572660i | −0.0860417 | − | 0.996292i | \(-0.527422\pi\) |
−0.905835 | + | 0.423631i | \(0.860755\pi\) | |||||||
\(860\) | 6.04680 | − | 22.4191i | 0.206194 | − | 0.764485i | ||||
\(861\) | −0.881986 | + | 8.80274i | −0.0300580 | + | 0.299997i | ||||
\(862\) | 17.7561 | − | 13.6015i | 0.604773 | − | 0.463268i | ||||
\(863\) | 12.8472 | + | 7.41734i | 0.437324 | + | 0.252489i | 0.702462 | − | 0.711721i | \(-0.252084\pi\) |
−0.265138 | + | 0.964210i | \(0.585418\pi\) | |||||||
\(864\) | 17.6027 | + | 23.1370i | 0.598855 | + | 0.787136i | ||||
\(865\) | −6.09623 | − | 10.5590i | −0.207278 | − | 0.359016i | ||||
\(866\) | −6.00972 | − | 45.9409i | −0.204219 | − | 1.56113i | ||||
\(867\) | 7.25579i | 0.246419i | ||||||||
\(868\) | 2.85188 | + | 17.6394i | 0.0967992 | + | 0.598719i | ||||
\(869\) | − | 3.65050i | − | 0.123835i | ||||||
\(870\) | −7.66918 | + | 1.00324i | −0.260010 | + | 0.0340130i | ||||
\(871\) | 0.468884 | + | 0.812130i | 0.0158875 | + | 0.0275180i | ||||
\(872\) | 8.32323 | − | 10.7917i | 0.281860 | − | 0.365453i | ||||
\(873\) | −21.9805 | − | 12.6905i | −0.743929 | − | 0.429507i | ||||
\(874\) | −19.2508 | − | 25.1309i | −0.651167 | − | 0.850066i | ||||
\(875\) | 2.14799 | + | 1.54472i | 0.0726153 | + | 0.0522209i | ||||
\(876\) | −7.03221 | + | 26.0726i | −0.237596 | + | 0.880912i | ||||
\(877\) | −19.7181 | − | 11.3843i | −0.665833 | − | 0.384419i | 0.128663 | − | 0.991688i | \(-0.458931\pi\) |
−0.794496 | + | 0.607270i | \(0.792265\pi\) | |||||||
\(878\) | −0.219133 | + | 0.527804i | −0.00739539 | + | 0.0178125i | ||||
\(879\) | 24.5626 | − | 14.1812i | 0.828476 | − | 0.478321i | ||||
\(880\) | −8.16237 | + | 4.67674i | −0.275153 | + | 0.157653i | ||||
\(881\) | − | 46.0172i | − | 1.55036i | −0.631742 | − | 0.775179i | \(-0.717660\pi\) | ||
0.631742 | − | 0.775179i | \(-0.282340\pi\) | |||||||
\(882\) | 18.7629 | + | 1.30889i | 0.631780 | + | 0.0440727i | ||||
\(883\) | −48.2392 | −1.62338 | −0.811689 | − | 0.584090i | \(-0.801452\pi\) | ||||
−0.811689 | + | 0.584090i | \(0.801452\pi\) | |||||||
\(884\) | −8.39707 | + | 8.36944i | −0.282424 | + | 0.281495i | ||||
\(885\) | −6.00037 | − | 10.3929i | −0.201700 | − | 0.349355i | ||||
\(886\) | 17.5327 | − | 42.2291i | 0.589021 | − | 1.41872i | ||||
\(887\) | −26.5340 | + | 45.9583i | −0.890926 | + | 1.54313i | −0.0521586 | + | 0.998639i | \(0.516610\pi\) |
−0.838767 | + | 0.544490i | \(0.816723\pi\) | |||||||
\(888\) | −19.5268 | + | 8.03178i | −0.655277 | + | 0.269529i | ||||
\(889\) | −3.87736 | + | 5.39162i | −0.130043 | + | 0.180829i | ||||
\(890\) | 12.4220 | − | 9.51545i | 0.416385 | − | 0.318959i | ||||
\(891\) | −0.364110 | + | 0.630656i | −0.0121981 | + | 0.0211278i | ||||
\(892\) | −27.9318 | + | 7.43499i | −0.935226 | + | 0.248942i | ||||
\(893\) | 22.1651 | − | 12.7970i | 0.741728 | − | 0.428237i | ||||
\(894\) | 6.24283 | − | 0.816652i | 0.208791 | − | 0.0273129i | ||||
\(895\) | −1.39729 | −0.0467063 | ||||||||
\(896\) | 28.7083 | − | 8.47541i | 0.959078 | − | 0.283144i | ||||
\(897\) | 11.1420 | 0.372020 | ||||||||
\(898\) | −6.89702 | + | 0.902229i | −0.230157 | + | 0.0301078i | ||||
\(899\) | −15.2493 | + | 8.80418i | −0.508592 | + | 0.293636i | ||||
\(900\) | 3.67203 | − | 0.977435i | 0.122401 | − | 0.0325812i | ||||
\(901\) | −19.8527 | + | 34.3859i | −0.661389 | + | 1.14556i | ||||
\(902\) | −8.41762 | + | 6.44805i | −0.280276 | + | 0.214697i | ||||
\(903\) | 32.0571 | + | 3.21194i | 1.06679 | + | 0.106887i | ||||
\(904\) | −22.9303 | + | 9.43169i | −0.762649 | + | 0.313693i | ||||
\(905\) | −12.8292 | + | 22.2208i | −0.426457 | + | 0.738645i | ||||
\(906\) | −0.681244 | + | 1.64084i | −0.0226328 | + | 0.0545134i | ||||
\(907\) | 19.4872 | + | 33.7529i | 0.647063 | + | 1.12075i | 0.983821 | + | 0.179155i | \(0.0573364\pi\) |
−0.336758 | + | 0.941591i | \(0.609330\pi\) | |||||||
\(908\) | −6.50756 | + | 6.48615i | −0.215961 | + | 0.215250i | ||||
\(909\) | −3.03619 | −0.100704 | ||||||||
\(910\) | 3.85734 | − | 2.38524i | 0.127869 | − | 0.0790699i | ||||
\(911\) | − | 23.8599i | − | 0.790512i | −0.918571 | − | 0.395256i | \(-0.870656\pi\) | ||
0.918571 | − | 0.395256i | \(-0.129344\pi\) | |||||||
\(912\) | 9.29723 | − | 5.32698i | 0.307862 | − | 0.176394i | ||||
\(913\) | 9.11448 | − | 5.26225i | 0.301645 | − | 0.174155i | ||||
\(914\) | −11.6558 | + | 28.0742i | −0.385541 | + | 0.928612i | ||||
\(915\) | −1.01886 | − | 0.588237i | −0.0336823 | − | 0.0194465i | ||||
\(916\) | −6.81322 | + | 25.2607i | −0.225115 | + | 0.834638i | ||||
\(917\) | −5.93680 | − | 13.1618i | −0.196050 | − | 0.434641i | ||||
\(918\) | −21.6150 | − | 28.2173i | −0.713402 | − | 0.931311i | ||||
\(919\) | 23.6619 | + | 13.6612i | 0.780535 | + | 0.450642i | 0.836620 | − | 0.547784i | \(-0.184528\pi\) |
−0.0560847 | + | 0.998426i | \(0.517862\pi\) | |||||||
\(920\) | 15.1394 | − | 19.6293i | 0.499130 | − | 0.647160i | ||||
\(921\) | −1.74285 | − | 3.01871i | −0.0574290 | − | 0.0994699i | ||||
\(922\) | −39.1186 | + | 5.11727i | −1.28830 | + | 0.168528i | ||||
\(923\) | 3.06921i | 0.101024i | ||||||||
\(924\) | −8.24662 | − | 10.1171i | −0.271294 | − | 0.332829i | ||||
\(925\) | 7.11740i | 0.234019i | ||||||||
\(926\) | −7.14195 | − | 54.5961i | −0.234699 | − | 1.79414i | ||||
\(927\) | −3.36895 | − | 5.83520i | −0.110651 | − | 0.191653i | ||||
\(928\) | 17.8604 | + | 23.4758i | 0.586298 | + | 0.770631i | ||||
\(929\) | 14.1805 | + | 8.18709i | 0.465246 | + | 0.268610i | 0.714247 | − | 0.699893i | \(-0.246769\pi\) |
−0.249002 | + | 0.968503i | \(0.580102\pi\) | |||||||
\(930\) | −3.97621 | + | 3.04585i | −0.130385 | + | 0.0998775i | ||||
\(931\) | 3.54704 | − | 17.5231i | 0.116250 | − | 0.574296i | ||||
\(932\) | 10.8674 | − | 40.2919i | 0.355972 | − | 1.31980i | ||||
\(933\) | −31.4164 | − | 18.1382i | −1.02853 | − | 0.593820i | ||||
\(934\) | 32.6653 | + | 13.5619i | 1.06884 | + | 0.443761i | ||||
\(935\) | 9.96081 | − | 5.75088i | 0.325753 | − | 0.188074i | ||||
\(936\) | 0.866159 | − | 6.45578i | 0.0283113 | − | 0.211014i | ||||
\(937\) | − | 9.65373i | − | 0.315374i | −0.987489 | − | 0.157687i | \(-0.949596\pi\) | ||
0.987489 | − | 0.157687i | \(-0.0504036\pi\) | |||||||
\(938\) | 0.0874526 | + | 2.89351i | 0.00285543 | + | 0.0944764i | ||||
\(939\) | 15.1791 | 0.495352 | ||||||||
\(940\) | 14.1483 | + | 14.1950i | 0.461467 | + | 0.462991i | ||||
\(941\) | 14.1753 | + | 24.5524i | 0.462103 | + | 0.800385i | 0.999066 | − | 0.0432207i | \(-0.0137619\pi\) |
−0.536963 | + | 0.843606i | \(0.680429\pi\) | |||||||
\(942\) | 15.1064 | + | 6.27186i | 0.492193 | + | 0.204348i | ||||
\(943\) | 13.9708 | − | 24.1981i | 0.454951 | − | 0.787999i | ||||
\(944\) | −23.0145 | + | 39.5605i | −0.749057 | + | 1.28759i | ||||
\(945\) | 5.59074 | + | 12.3946i | 0.181867 | + | 0.403196i | ||||
\(946\) | 23.4820 | + | 30.6546i | 0.763465 | + | 0.996666i | ||||
\(947\) | −1.38549 | + | 2.39973i | −0.0450223 | + | 0.0779808i | −0.887658 | − | 0.460503i | \(-0.847669\pi\) |
0.842636 | + | 0.538483i | \(0.181003\pi\) | |||||||
\(948\) | −3.14646 | + | 0.837536i | −0.102192 | + | 0.0272019i | ||||
\(949\) | 13.5134 | − | 7.80194i | 0.438662 | − | 0.253262i | ||||
\(950\) | −0.468510 | − | 3.58149i | −0.0152005 | − | 0.116199i | ||||
\(951\) | 15.9210 | 0.516272 | ||||||||
\(952\) | −35.0659 | + | 10.4781i | −1.13649 | + | 0.339597i | ||||
\(953\) | −10.6334 | −0.344451 | −0.172225 | − | 0.985058i | \(-0.555096\pi\) | ||||
−0.172225 | + | 0.985058i | \(0.555096\pi\) | |||||||
\(954\) | −2.82953 | − | 21.6302i | −0.0916096 | − | 0.700302i | ||||
\(955\) | 6.13554 | − | 3.54235i | 0.198541 | − | 0.114628i | ||||
\(956\) | −1.51743 | − | 5.70067i | −0.0490771 | − | 0.184373i | ||||
\(957\) | 6.43118 | − | 11.1391i | 0.207891 | − | 0.360077i | ||||
\(958\) | −7.39529 | − | 9.65419i | −0.238931 | − | 0.311913i | ||||
\(959\) | −3.97497 | + | 39.6726i | −0.128359 | + | 1.28109i | ||||
\(960\) | 5.90370 | + | 5.96236i | 0.190541 | + | 0.192434i | ||||
\(961\) | 9.79857 | − | 16.9716i | 0.316083 | − | 0.547472i | ||||
\(962\) | 11.2678 | + | 4.67816i | 0.363289 | + | 0.150830i | ||||
\(963\) | 9.49896 | + | 16.4527i | 0.306100 | + | 0.530180i | ||||
\(964\) | 1.30640 | − | 1.30210i | 0.0420764 | − | 0.0419379i | ||||
\(965\) | −19.0222 | −0.612345 | ||||||||
\(966\) | 30.2925 | + | 16.2896i | 0.974647 | + | 0.524110i | ||||
\(967\) | − | 7.65003i | − | 0.246008i | −0.992406 | − | 0.123004i | \(-0.960747\pi\) | ||
0.992406 | − | 0.123004i | \(-0.0392528\pi\) | |||||||
\(968\) | −2.05697 | + | 15.3313i | −0.0661134 | + | 0.492766i | ||||
\(969\) | −11.3457 | + | 6.55046i | −0.364477 | + | 0.210431i | ||||
\(970\) | −17.4481 | − | 7.24409i | −0.560225 | − | 0.232594i | ||||
\(971\) | 26.8992 | + | 15.5302i | 0.863235 | + | 0.498389i | 0.865094 | − | 0.501609i | \(-0.167258\pi\) |
−0.00185907 | + | 0.999998i | \(0.500592\pi\) | |||||||
\(972\) | 30.3986 | + | 8.19900i | 0.975036 | + | 0.262983i | ||||
\(973\) | −23.5950 | + | 32.8098i | −0.756421 | + | 1.05183i | ||||
\(974\) | 16.7495 | − | 12.8304i | 0.536687 | − | 0.411112i | ||||
\(975\) | 1.10097 | + | 0.635642i | 0.0352591 | + | 0.0203569i | ||||
\(976\) | −0.0147874 | + | 4.48676i | −0.000473334 | + | 0.143618i | ||||
\(977\) | 2.12922 | + | 3.68791i | 0.0681197 | + | 0.117987i | 0.898074 | − | 0.439845i | \(-0.144967\pi\) |
−0.829954 | + | 0.557832i | \(0.811633\pi\) | |||||||
\(978\) | 2.44880 | + | 18.7196i | 0.0783039 | + | 0.598588i | ||||
\(979\) | 26.0217i | 0.831658i | ||||||||
\(980\) | 13.9744 | − | 0.845492i | 0.446397 | − | 0.0270082i | ||||
\(981\) | − | 9.15474i | − | 0.292288i | ||||||
\(982\) | −5.49722 | + | 0.719115i | −0.175423 | + | 0.0229479i | ||||
\(983\) | −3.78011 | − | 6.54734i | −0.120567 | − | 0.208828i | 0.799425 | − | 0.600767i | \(-0.205138\pi\) |
−0.919991 | + | 0.391939i | \(0.871805\pi\) | |||||||
\(984\) | 7.48900 | + | 5.77598i | 0.238740 | + | 0.184131i | ||||
\(985\) | −22.2955 | − | 12.8723i | −0.710393 | − | 0.410146i | ||||
\(986\) | −21.9315 | − | 28.6306i | −0.698443 | − | 0.911783i | ||||
\(987\) | −16.2354 | + | 22.5759i | −0.516778 | + | 0.718599i | ||||
\(988\) | −5.97792 | − | 1.61234i | −0.190183 | − | 0.0512955i | ||||
\(989\) | −88.1226 | − | 50.8776i | −2.80214 | − | 1.61781i | ||||
\(990\) | −2.42304 | + | 5.83614i | −0.0770094 | + | 0.185485i | ||||
\(991\) | 36.3263 | − | 20.9730i | 1.15394 | − | 0.666229i | 0.204097 | − | 0.978951i | \(-0.434574\pi\) |
0.949845 | + | 0.312722i | \(0.101241\pi\) | |||||||
\(992\) | 17.6178 | + | 7.38271i | 0.559366 | + | 0.234401i | ||||
\(993\) | 17.2655i | 0.547903i | ||||||||
\(994\) | −4.48719 | + | 8.34449i | −0.142325 | + | 0.264671i | ||||
\(995\) | −6.76522 | −0.214472 | ||||||||
\(996\) | −6.62680 | − | 6.64868i | −0.209978 | − | 0.210671i | ||||
\(997\) | 7.07310 | + | 12.2510i | 0.224007 | + | 0.387992i | 0.956021 | − | 0.293298i | \(-0.0947527\pi\) |
−0.732014 | + | 0.681290i | \(0.761419\pi\) | |||||||
\(998\) | −6.19270 | + | 14.9157i | −0.196026 | + | 0.472149i | ||||
\(999\) | −18.2890 | + | 31.6774i | −0.578637 | + | 1.00223i |
(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 | 280.2.bj.e.131.1 | ✓ | 24 | |
4.3 | odd | 2 | 1120.2.bz.f.271.10 | 24 | |||
7.3 | odd | 6 | 280.2.bj.f.171.7 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.f.131.7 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.e.271.10 | 24 | |||
28.3 | even | 6 | 1120.2.bz.e.591.10 | 24 | |||
56.3 | even | 6 | inner | 280.2.bj.e.171.1 | yes | 24 | |
56.45 | odd | 6 | 1120.2.bz.f.591.10 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.e.171.1 | yes | 24 | 56.3 | even | 6 | inner | |
280.2.bj.f.131.7 | yes | 24 | 8.3 | odd | 2 | ||
280.2.bj.f.171.7 | yes | 24 | 7.3 | odd | 6 | ||
1120.2.bz.e.271.10 | 24 | 8.5 | even | 2 | |||
1120.2.bz.e.591.10 | 24 | 28.3 | even | 6 | |||
1120.2.bz.f.271.10 | 24 | 4.3 | odd | 2 | |||
1120.2.bz.f.591.10 | 24 | 56.45 | odd | 6 |