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 | 131.7 | ||
Character | \(\chi\) | \(=\) | 280.131 |
Dual form | 280.2.bj.f.171.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.542272 | + | 1.30612i | 0.383445 | + | 0.923564i | ||||
\(3\) | −0.908317 | + | 0.524417i | −0.524417 | + | 0.302772i | −0.738740 | − | 0.673991i | \(-0.764579\pi\) |
0.214323 | + | 0.976763i | \(0.431245\pi\) | |||||||
\(4\) | −1.41188 | + | 1.41654i | −0.705941 | + | 0.708271i | ||||
\(5\) | −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 | ||||
\(10\) | −1.40227 | − | 0.183437i | −0.443436 | − | 0.0580077i | ||||
\(11\) | −1.17590 | − | 2.03673i | −0.354549 | − | 0.614096i | 0.632492 | − | 0.774567i | \(-0.282032\pi\) |
−0.987041 | + | 0.160471i | \(0.948699\pi\) | |||||||
\(12\) | 0.539577 | − | 2.02708i | 0.155762 | − | 0.585169i | ||||
\(13\) | −1.21209 | −0.336174 | −0.168087 | − | 0.985772i | \(-0.553759\pi\) | ||||
−0.168087 | + | 0.985772i | \(0.553759\pi\) | |||||||
\(14\) | −0.852784 | + | 3.64318i | −0.227916 | + | 0.973681i | ||||
\(15\) | − | 1.04883i | − | 0.270808i | ||||||
\(16\) | −0.0131831 | − | 3.99998i | −0.00329577 | − | 0.999995i | ||||
\(17\) | −4.23538 | + | 2.44530i | −1.02723 | + | 0.593072i | −0.916190 | − | 0.400744i | \(-0.868752\pi\) |
−0.111041 | + | 0.993816i | \(0.535418\pi\) | |||||||
\(18\) | −2.66423 | − | 0.348520i | −0.627966 | − | 0.0821469i | ||||
\(19\) | −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 | \(0.0334909\pi\) |
0.588186 | + | 0.808726i | \(0.299842\pi\) | |||||||
\(24\) | 2.94021 | − | 0.394481i | 0.600167 | − | 0.0805232i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −0.657285 | − | 1.58314i | −0.128904 | − | 0.310478i | ||||
\(27\) | − | 5.13923i | − | 0.989045i | ||||||
\(28\) | −5.22086 | + | 0.861760i | −0.986650 | + | 0.162857i | ||||
\(29\) | 5.21449i | 0.968307i | 0.874983 | + | 0.484153i | \(0.160872\pi\) | ||||
−0.874983 | + | 0.484153i | \(0.839128\pi\) | |||||||
\(30\) | 1.36990 | − | 0.568754i | 0.250108 | − | 0.103840i | ||||
\(31\) | 1.68841 | + | 2.92441i | 0.303247 | + | 0.525239i | 0.976869 | − | 0.213837i | \(-0.0685961\pi\) |
−0.673623 | + | 0.739075i | \(0.735263\pi\) | |||||||
\(32\) | 5.21729 | − | 2.18630i | 0.922295 | − | 0.386486i | ||||
\(33\) | 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 | 0.912165 | − | 0.409823i | \(-0.134410\pi\) |
0.101165 | + | 0.994870i | \(0.467743\pi\) | |||||||
\(38\) | 0.468510 | − | 3.58149i | 0.0760023 | − | 0.580994i | ||||
\(39\) | 1.10097 | − | 0.635642i | 0.176296 | − | 0.101784i | ||||
\(40\) | 2.23968 | − | 1.72738i | 0.354124 | − | 0.273123i | ||||
\(41\) | 3.18809i | 0.497897i | 0.968517 | + | 0.248948i | \(0.0800849\pi\) | ||||
−0.968517 | + | 0.248948i | \(0.919915\pi\) | |||||||
\(42\) | −1.13595 | − | 3.75638i | −0.175280 | − | 0.579621i | ||||
\(43\) | 11.6101 | 1.77053 | 0.885264 | − | 0.465089i | \(-0.153978\pi\) | ||||
0.885264 | + | 0.465089i | \(0.153978\pi\) | |||||||
\(44\) | 4.54535 | + | 1.20990i | 0.685237 | + | 0.182399i | ||||
\(45\) | −0.949974 | − | 1.64540i | −0.141614 | − | 0.245282i | ||||
\(46\) | −1.60770 | + | 12.2900i | −0.237043 | + | 1.81205i | ||||
\(47\) | 5.01045 | − | 8.67836i | 0.730849 | − | 1.26587i | −0.225671 | − | 0.974204i | \(-0.572457\pi\) |
0.956521 | − | 0.291665i | \(-0.0942092\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | 1.71133 | − | 1.71698i | 0.237319 | − | 0.238103i | ||||
\(53\) | −7.03102 | + | 4.05936i | −0.965784 | + | 0.557596i | −0.897948 | − | 0.440101i | \(-0.854943\pi\) |
−0.0678359 | + | 0.997696i | \(0.521609\pi\) | |||||||
\(54\) | 6.71244 | − | 2.78686i | 0.913447 | − | 0.379244i | ||||
\(55\) | 2.35181 | 0.317118 | ||||||||
\(56\) | −3.95669 | − | 6.35174i | −0.528735 | − | 0.848787i | ||||
\(57\) | 2.67880 | 0.354815 | ||||||||
\(58\) | −6.81073 | + | 2.82767i | −0.894293 | + | 0.371292i | ||||
\(59\) | −9.90904 | + | 5.72099i | −1.29005 | + | 0.744809i | −0.978662 | − | 0.205475i | \(-0.934126\pi\) |
−0.311385 | + | 0.950284i | \(0.600793\pi\) | |||||||
\(60\) | 1.48572 | + | 1.48083i | 0.191805 | + | 0.191174i | ||||
\(61\) | 0.560848 | − | 0.971417i | 0.0718092 | − | 0.124377i | −0.827885 | − | 0.560898i | \(-0.810456\pi\) |
0.899694 | + | 0.436521i | \(0.143789\pi\) | |||||||
\(62\) | −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 | ||||
\(66\) | −0.452475 | + | 3.45891i | −0.0556959 | + | 0.425763i | ||||
\(67\) | 0.386838 | + | 0.670023i | 0.0472598 | + | 0.0818563i | 0.888688 | − | 0.458513i | \(-0.151618\pi\) |
−0.841428 | + | 0.540369i | \(0.818284\pi\) | |||||||
\(68\) | 2.51599 | − | 9.45207i | 0.305108 | − | 1.14623i | ||||
\(69\) | −9.19235 | −1.10663 | ||||||||
\(70\) | −2.72869 | − | 2.56012i | −0.326141 | − | 0.305993i | ||||
\(71\) | − | 2.53216i | − | 0.300512i | −0.988647 | − | 0.150256i | \(-0.951990\pi\) | ||
0.988647 | − | 0.150256i | \(-0.0480097\pi\) | |||||||
\(72\) | 4.25527 | − | 3.28193i | 0.501489 | − | 0.386779i | ||||
\(73\) | 11.1488 | − | 6.43675i | 1.30487 | − | 0.753365i | 0.323631 | − | 0.946183i | \(-0.395096\pi\) |
0.981234 | + | 0.192819i | \(0.0617629\pi\) | |||||||
\(74\) | −1.30559 | + | 9.98048i | −0.151772 | + | 1.16021i | ||||
\(75\) | 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 | 0.422470 | − | 0.906377i | \(-0.361163\pi\) |
−0.573710 | + | 0.819058i | \(0.694496\pi\) | |||||||
\(80\) | 3.47067 | + | 1.98857i | 0.388033 | + | 0.222329i | ||||
\(81\) | −0.154821 | − | 0.268158i | −0.0172023 | − | 0.0297953i | ||||
\(82\) | −4.16402 | + | 1.72882i | −0.459839 | + | 0.190916i | ||||
\(83\) | 4.47506i | 0.491202i | 0.969371 | + | 0.245601i | \(0.0789853\pi\) | ||||
−0.969371 | + | 0.245601i | \(0.921015\pi\) | |||||||
\(84\) | 4.29027 | − | 3.52066i | 0.468107 | − | 0.384135i | ||||
\(85\) | − | 4.89060i | − | 0.530460i | ||||||
\(86\) | 6.29585 | + | 15.1642i | 0.678899 | + | 1.63520i | ||||
\(87\) | −2.73457 | − | 4.73641i | −0.293176 | − | 0.507796i | ||||
\(88\) | 0.884549 | + | 6.59285i | 0.0942933 | + | 0.702800i | ||||
\(89\) | −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 | ||||
\(94\) | 14.0520 | + | 1.83820i | 1.44935 | + | 0.189596i | ||||
\(95\) | 2.21189 | − | 1.27704i | 0.226935 | − | 0.131021i | ||||
\(96\) | −3.59242 | + | 4.72189i | −0.366650 | + | 0.481925i | ||||
\(97\) | 13.3588i | 1.35638i | 0.734888 | + | 0.678189i | \(0.237235\pi\) | ||||
−0.734888 | + | 0.678189i | \(0.762765\pi\) | |||||||
\(98\) | −7.45945 | + | 6.50820i | −0.753518 | + | 0.657427i | ||||
\(99\) | 4.46831 | 0.449082 | ||||||||
\(100\) | 1.93270 | + | 0.514454i | 0.193270 | + | 0.0514454i | ||||
\(101\) | −0.799019 | − | 1.38394i | −0.0795054 | − | 0.137707i | 0.823531 | − | 0.567271i | \(-0.192001\pi\) |
−0.903037 | + | 0.429564i | \(0.858667\pi\) | |||||||
\(102\) | 7.19282 | + | 0.940924i | 0.712195 | + | 0.0931654i | ||||
\(103\) | 1.77318 | − | 3.07124i | 0.174717 | − | 0.302618i | −0.765346 | − | 0.643619i | \(-0.777432\pi\) |
0.940063 | + | 0.341000i | \(0.110766\pi\) | |||||||
\(104\) | 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 | \(0.00609429\pi\) | |||||||
\(108\) | 7.27994 | + | 7.25598i | 0.700512 | + | 0.698207i | ||||
\(109\) | 4.17287 | − | 2.40921i | 0.399689 | − | 0.230760i | −0.286661 | − | 0.958032i | \(-0.592545\pi\) |
0.686350 | + | 0.727272i | \(0.259212\pi\) | |||||||
\(110\) | 1.27532 | + | 3.07174i | 0.121597 | + | 0.292879i | ||||
\(111\) | −7.46497 | −0.708543 | ||||||||
\(112\) | 6.15051 | − | 8.61227i | 0.581169 | − | 0.813783i | ||||
\(113\) | 8.76609 | 0.824644 | 0.412322 | − | 0.911038i | \(-0.364718\pi\) | ||||
0.412322 | + | 0.911038i | \(0.364718\pi\) | |||||||
\(114\) | 1.45264 | + | 3.49882i | 0.136052 | + | 0.327694i | ||||
\(115\) | −7.59015 | + | 4.38218i | −0.707785 | + | 0.408640i | ||||
\(116\) | −7.38655 | − | 7.36224i | −0.685824 | − | 0.683567i | ||||
\(117\) | 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 | ||||
\(122\) | 1.57292 | + | 0.205760i | 0.142405 | + | 0.0186286i | ||||
\(123\) | −1.67189 | − | 2.89580i | −0.150749 | − | 0.261105i | ||||
\(124\) | −6.52637 | − | 1.73721i | −0.586085 | − | 0.156006i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −5.18438 | − | 4.86410i | −0.461861 | − | 0.433328i | ||||
\(127\) | 2.51008i | 0.222734i | 0.993779 | + | 0.111367i | \(0.0355229\pi\) | ||||
−0.993779 | + | 0.111367i | \(0.964477\pi\) | |||||||
\(128\) | −4.26921 | + | 10.4773i | −0.377349 | + | 0.926071i | ||||
\(129\) | −10.5457 | + | 6.08855i | −0.928495 | + | 0.536067i | ||||
\(130\) | 1.69968 | + | 0.222342i | 0.149072 | + | 0.0195007i | ||||
\(131\) | 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 | ||||
\(136\) | 13.7099 | − | 1.83942i | 1.17561 | − | 0.157729i | ||||
\(137\) | −7.53495 | − | 13.0509i | −0.643754 | − | 1.11502i | −0.984588 | − | 0.174891i | \(-0.944043\pi\) |
0.340833 | − | 0.940124i | \(-0.389291\pi\) | |||||||
\(138\) | −4.98476 | − | 12.0063i | −0.424331 | − | 1.02204i | ||||
\(139\) | − | 15.2747i | − | 1.29558i | −0.761819 | − | 0.647789i | \(-0.775694\pi\) | ||
0.761819 | − | 0.647789i | \(-0.224306\pi\) | |||||||
\(140\) | 1.86412 | − | 4.95228i | 0.157547 | − | 0.418544i | ||||
\(141\) | 10.5103i | 0.885124i | ||||||||
\(142\) | 3.30729 | − | 1.37312i | 0.277542 | − | 0.115230i | ||||
\(143\) | 1.42531 | + | 2.46870i | 0.119190 | + | 0.206443i | ||||
\(144\) | 6.59410 | + | 3.77818i | 0.549508 | + | 0.314849i | ||||
\(145\) | −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 | 0.341810 | − | 0.939769i | \(-0.388960\pi\) |
−0.642959 | + | 0.765901i | \(0.722293\pi\) | |||||||
\(150\) | −0.192395 | + | 1.47074i | −0.0157089 | + | 0.120086i | ||||
\(151\) | 1.03731 | − | 0.598892i | 0.0844152 | − | 0.0487371i | −0.457198 | − | 0.889365i | \(-0.651147\pi\) |
0.541613 | + | 0.840628i | \(0.317814\pi\) | |||||||
\(152\) | 4.41185 | + | 5.72030i | 0.357848 | + | 0.463977i | ||||
\(153\) | − | 9.29188i | − | 0.751204i | ||||||
\(154\) | 8.42296 | − | 2.54714i | 0.678741 | − | 0.205255i | ||||
\(155\) | −3.37681 | −0.271232 | ||||||||
\(156\) | −0.654018 | + | 2.45702i | −0.0523633 | + | 0.196719i | ||||
\(157\) | −5.51369 | − | 9.54999i | −0.440040 | − | 0.762172i | 0.557652 | − | 0.830075i | \(-0.311703\pi\) |
−0.997692 | + | 0.0679028i | \(0.978369\pi\) | |||||||
\(158\) | 0.284732 | − | 2.17661i | 0.0226521 | − | 0.173162i | ||||
\(159\) | 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 | \(0.332770\pi\) | |||||||
\(164\) | −4.51607 | − | 4.50121i | −0.352646 | − | 0.351485i | ||||
\(165\) | −2.13619 | + | 1.23333i | −0.166302 | + | 0.0960145i | ||||
\(166\) | −5.84495 | + | 2.42670i | −0.453656 | + | 0.188349i | ||||
\(167\) | −15.0560 | −1.16507 | −0.582535 | − | 0.812805i | \(-0.697939\pi\) | ||||
−0.582535 | + | 0.812805i | \(0.697939\pi\) | |||||||
\(168\) | 6.92489 | + | 3.69444i | 0.534267 | + | 0.285032i | ||||
\(169\) | −11.5308 | −0.886987 | ||||||||
\(170\) | 6.38769 | − | 2.65204i | 0.489914 | − | 0.203402i | ||||
\(171\) | 4.20247 | − | 2.42630i | 0.321371 | − | 0.185544i | ||||
\(172\) | −16.3921 | + | 16.4462i | −1.24989 | + | 1.25401i | ||||
\(173\) | −6.09623 | + | 10.5590i | −0.463488 | + | 0.802784i | −0.999132 | − | 0.0416597i | \(-0.986735\pi\) |
0.535644 | + | 0.844444i | \(0.320069\pi\) | |||||||
\(174\) | 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 | ||||
\(178\) | 2.02964 | − | 15.5155i | 0.152128 | − | 1.16293i | ||||
\(179\) | −0.698646 | − | 1.21009i | −0.0522192 | − | 0.0904464i | 0.838734 | − | 0.544541i | \(-0.183296\pi\) |
−0.890953 | + | 0.454095i | \(0.849963\pi\) | |||||||
\(180\) | 3.67203 | + | 0.977435i | 0.273697 | + | 0.0728537i | ||||
\(181\) | 25.6584 | 1.90717 | 0.953587 | − | 0.301118i | \(-0.0973599\pi\) | ||||
0.953587 | + | 0.301118i | \(0.0973599\pi\) | |||||||
\(182\) | 1.03365 | − | 4.41588i | 0.0766196 | − | 0.327326i | ||||
\(183\) | 1.17647i | 0.0869674i | ||||||||
\(184\) | −15.1394 | − | 19.6293i | −1.11609 | − | 1.44709i | ||||
\(185\) | −6.16385 | + | 3.55870i | −0.453175 | + | 0.261641i | ||||
\(186\) | 0.649680 | − | 4.96643i | 0.0476369 | − | 0.364156i | ||||
\(187\) | 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 | 0.261321 | − | 0.965252i | \(-0.415842\pi\) |
−0.705273 | + | 0.708936i | \(0.749175\pi\) | |||||||
\(192\) | −8.11540 | − | 2.13157i | −0.585679 | − | 0.153833i | ||||
\(193\) | −9.51108 | − | 16.4737i | −0.684622 | − | 1.18580i | −0.973555 | − | 0.228451i | \(-0.926634\pi\) |
0.288933 | − | 0.957349i | \(-0.406699\pi\) | |||||||
\(194\) | −17.4481 | + | 7.24409i | −1.25270 | + | 0.520095i | ||||
\(195\) | 1.27128i | 0.0910386i | ||||||||
\(196\) | −12.5455 | − | 6.21369i | −0.896108 | − | 0.443835i | ||||
\(197\) | 25.7446i | 1.83423i | 0.398626 | + | 0.917113i | \(0.369487\pi\) | ||||
−0.398626 | + | 0.917113i | \(0.630513\pi\) | |||||||
\(198\) | 2.42304 | + | 5.83614i | 0.172198 | + | 0.414756i | ||||
\(199\) | 3.38261 | + | 5.85886i | 0.239787 | + | 0.415323i | 0.960653 | − | 0.277751i | \(-0.0895891\pi\) |
−0.720866 | + | 0.693074i | \(0.756256\pi\) | |||||||
\(200\) | 0.376114 | + | 2.80331i | 0.0265953 | + | 0.198224i | ||||
\(201\) | −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 | ||||
\(206\) | 4.97295 | + | 0.650533i | 0.346482 | + | 0.0453248i | ||||
\(207\) | −14.4209 | + | 8.32590i | −1.00232 | + | 0.578690i | ||||
\(208\) | 0.0159791 | + | 4.84835i | 0.00110795 | + | 0.336172i | ||||
\(209\) | 6.00669i | 0.415491i | ||||||||
\(210\) | 3.82109 | + | 0.894429i | 0.263680 | + | 0.0617215i | ||||
\(211\) | 14.7573 | 1.01593 | 0.507967 | − | 0.861377i | \(-0.330397\pi\) | ||||
0.507967 | + | 0.861377i | \(0.330397\pi\) | |||||||
\(212\) | 4.17671 | − | 15.6911i | 0.286857 | − | 1.07767i | ||||
\(213\) | 1.32791 | + | 2.30000i | 0.0909866 | + | 0.157593i | ||||
\(214\) | 14.0215 | + | 1.83422i | 0.958491 | + | 0.125384i | ||||
\(215\) | −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 | ||||
\(220\) | −3.32048 | + | 3.33144i | −0.223866 | + | 0.224605i | ||||
\(221\) | 5.13368 | − | 2.96393i | 0.345329 | − | 0.199376i | ||||
\(222\) | −4.04805 | − | 9.75012i | −0.271687 | − | 0.654385i | ||||
\(223\) | 14.4522 | 0.967791 | 0.483896 | − | 0.875126i | \(-0.339221\pi\) | ||||
0.483896 | + | 0.875126i | \(0.339221\pi\) | |||||||
\(224\) | 14.5839 | + | 3.36309i | 0.974427 | + | 0.224706i | ||||
\(225\) | 1.89995 | 0.126663 | ||||||||
\(226\) | 4.75361 | + | 11.4495i | 0.316205 | + | 0.761611i | ||||
\(227\) | −3.97850 | + | 2.29699i | −0.264062 | + | 0.152456i | −0.626186 | − | 0.779673i | \(-0.715385\pi\) |
0.362124 | + | 0.932130i | \(0.382052\pi\) | |||||||
\(228\) | −3.78214 | + | 3.79463i | −0.250478 | + | 0.251305i | ||||
\(229\) | 6.54085 | − | 11.3291i | 0.432232 | − | 0.748647i | −0.564833 | − | 0.825205i | \(-0.691060\pi\) |
0.997065 | + | 0.0765577i | \(0.0243929\pi\) | |||||||
\(230\) | −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 | \(-0.0728691\pi\) | |||||||
\(234\) | 3.22930 | + | 0.422439i | 0.211106 | + | 0.0276157i | ||||
\(235\) | 5.01045 | + | 8.67836i | 0.326846 | + | 0.566114i | ||||
\(236\) | 5.88637 | − | 22.1139i | 0.383170 | − | 1.43949i | ||||
\(237\) | 1.62801 | 0.105751 | ||||||||
\(238\) | −5.29680 | − | 17.5156i | −0.343340 | − | 1.13537i | ||||
\(239\) | 2.94959i | 0.190793i | 0.995439 | + | 0.0953964i | \(0.0304119\pi\) | ||||
−0.995439 | + | 0.0953964i | \(0.969588\pi\) | |||||||
\(240\) | −4.19531 | + | 0.0138269i | −0.270806 | + | 0.000892521i | ||||
\(241\) | 0.798690 | − | 0.461124i | 0.0514481 | − | 0.0297036i | −0.474055 | − | 0.880495i | \(-0.657210\pi\) |
0.525503 | + | 0.850791i | \(0.323877\pi\) | |||||||
\(242\) | 7.66898 | + | 1.00321i | 0.492981 | + | 0.0644890i | ||||
\(243\) | 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 | ||||
\(248\) | −1.27007 | − | 9.46625i | −0.0806494 | − | 0.601107i | ||||
\(249\) | −2.34680 | − | 4.06478i | −0.148722 | − | 0.257595i | ||||
\(250\) | 0.542272 | + | 1.30612i | 0.0342963 | + | 0.0826061i | ||||
\(251\) | − | 9.30464i | − | 0.587304i | −0.955912 | − | 0.293652i | \(-0.905129\pi\) | ||
0.955912 | − | 0.293652i | \(-0.0948706\pi\) | |||||||
\(252\) | 3.54174 | − | 9.40907i | 0.223108 | − | 0.592715i | ||||
\(253\) | − | 20.6121i | − | 1.29587i | ||||||
\(254\) | −3.27846 | + | 1.36115i | −0.205709 | + | 0.0854060i | ||||
\(255\) | 2.56471 | + | 4.44221i | 0.160609 | + | 0.278182i | ||||
\(256\) | −15.9997 | + | 0.105464i | −0.999978 | + | 0.00659151i | ||||
\(257\) | 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 | ||||
\(262\) | −1.00108 | + | 7.65265i | −0.0618467 | + | 0.472782i | ||||
\(263\) | 15.2475 | − | 8.80316i | 0.940202 | − | 0.542826i | 0.0501785 | − | 0.998740i | \(-0.484021\pi\) |
0.890024 | + | 0.455914i | \(0.150688\pi\) | |||||||
\(264\) | −4.26085 | − | 5.52452i | −0.262237 | − | 0.340011i | ||||
\(265\) | − | 8.11872i | − | 0.498729i | ||||||
\(266\) | 6.53873 | − | 6.96928i | 0.400915 | − | 0.427314i | ||||
\(267\) | 11.6049 | 0.710207 | ||||||||
\(268\) | −1.49528 | − | 0.398020i | −0.0913390 | − | 0.0243130i | ||||
\(269\) | 4.10363 | + | 7.10769i | 0.250202 | + | 0.433363i | 0.963581 | − | 0.267415i | \(-0.0861695\pi\) |
−0.713379 | + | 0.700778i | \(0.752836\pi\) | |||||||
\(270\) | −0.942723 | + | 7.20657i | −0.0573723 | + | 0.438578i | ||||
\(271\) | −7.40183 | + | 12.8204i | −0.449629 | + | 0.778781i | −0.998362 | − | 0.0572171i | \(-0.981777\pi\) |
0.548732 | + | 0.835998i | \(0.315111\pi\) | |||||||
\(272\) | 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 | ||||
\(276\) | 12.9785 | − | 13.0213i | 0.781214 | − | 0.783793i | ||||
\(277\) | 5.53090 | − | 3.19327i | 0.332320 | − | 0.191865i | −0.324551 | − | 0.945868i | \(-0.605213\pi\) |
0.656870 | + | 0.754003i | \(0.271880\pi\) | |||||||
\(278\) | 19.9505 | − | 8.28302i | 1.19655 | − | 0.496783i | ||||
\(279\) | −6.41577 | −0.384102 | ||||||||
\(280\) | 7.47911 | − | 0.250721i | 0.446963 | − | 0.0149835i | ||||
\(281\) | −12.2559 | −0.731128 | −0.365564 | − | 0.930786i | \(-0.619124\pi\) | ||||
−0.365564 | + | 0.930786i | \(0.619124\pi\) | |||||||
\(282\) | −13.7276 | + | 5.69943i | −0.817468 | + | 0.339396i | ||||
\(283\) | −14.5951 | + | 8.42649i | −0.867589 | + | 0.500903i | −0.866546 | − | 0.499096i | \(-0.833665\pi\) |
−0.00104298 | + | 0.999999i | \(0.500332\pi\) | |||||||
\(284\) | 3.58691 | + | 3.57510i | 0.212844 | + | 0.212143i | ||||
\(285\) | −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 | ||||
\(290\) | 0.956528 | − | 7.31210i | 0.0561693 | − | 0.429382i | ||||
\(291\) | −7.00556 | − | 12.1340i | −0.410673 | − | 0.711307i | ||||
\(292\) | −6.62282 | + | 24.8806i | −0.387571 | + | 1.45603i | ||||
\(293\) | 27.0419 | 1.57980 | 0.789902 | − | 0.613233i | \(-0.210131\pi\) | ||||
0.789902 | + | 0.613233i | \(0.210131\pi\) | |||||||
\(294\) | 3.36253 | − | 9.82337i | 0.196107 | − | 0.572910i | ||||
\(295\) | − | 11.4420i | − | 0.666178i | ||||||
\(296\) | −12.2944 | − | 15.9407i | −0.714600 | − | 0.926533i | ||||
\(297\) | −10.4672 | + | 6.04325i | −0.607369 | + | 0.350665i | ||||
\(298\) | 0.778628 | − | 5.95216i | 0.0451047 | − | 0.344799i | ||||
\(299\) | −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 | ||||
\(304\) | −5.07895 | + | 8.86435i | −0.291298 | + | 0.508405i | ||||
\(305\) | 0.560848 | + | 0.971417i | 0.0321141 | + | 0.0556232i | ||||
\(306\) | 12.1363 | − | 5.03873i | 0.693785 | − | 0.288045i | ||||
\(307\) | 3.32341i | 0.189677i | 0.995493 | + | 0.0948386i | \(0.0302335\pi\) | ||||
−0.995493 | + | 0.0948386i | \(0.969766\pi\) | |||||||
\(308\) | 7.89440 | + | 9.62012i | 0.449825 | + | 0.548157i | ||||
\(309\) | 3.71955i | 0.211598i | ||||||||
\(310\) | −1.83115 | − | 4.41051i | −0.104002 | − | 0.250500i | ||||
\(311\) | −17.2937 | − | 29.9536i | −0.980637 | − | 1.69851i | −0.659915 | − | 0.751340i | \(-0.729408\pi\) |
−0.320723 | − | 0.947173i | \(-0.603926\pi\) | |||||||
\(312\) | −3.56380 | + | 0.478148i | −0.201761 | + | 0.0270698i | ||||
\(313\) | −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 | 0.821470 | − | 0.570252i | \(-0.193154\pi\) |
−0.0831178 | + | 0.996540i | \(0.526488\pi\) | |||||||
\(318\) | 11.9406 | + | 1.56200i | 0.669593 | + | 0.0875924i | ||||
\(319\) | 10.6205 | − | 6.13174i | 0.594633 | − | 0.343312i | ||||
\(320\) | −7.71708 | + | 2.10873i | −0.431398 | + | 0.117882i | ||||
\(321\) | 10.4875i | 0.585354i | ||||||||
\(322\) | −22.4378 | + | 23.9152i | −1.25041 | + | 1.33274i | ||||
\(323\) | 12.4909 | 0.695014 | ||||||||
\(324\) | 0.598446 | + | 0.159297i | 0.0332470 | + | 0.00884981i | ||||
\(325\) | 0.606047 | + | 1.04970i | 0.0336174 | + | 0.0582271i | ||||
\(326\) | −17.8480 | − | 2.33478i | −0.988512 | − | 0.129312i | ||||
\(327\) | −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 | \(0.0172327\pi\) | |||||||
\(332\) | −6.33912 | − | 6.31826i | −0.347904 | − | 0.346759i | ||||
\(333\) | −11.7110 | + | 6.76134i | −0.641758 | + | 0.370519i | ||||
\(334\) | −8.16447 | − | 19.6649i | −0.446740 | − | 1.07602i | ||||
\(335\) | −0.773676 | −0.0422704 | ||||||||
\(336\) | −1.07019 | + | 11.0481i | −0.0583838 | + | 0.602723i | ||||
\(337\) | −28.2883 | −1.54096 | −0.770482 | − | 0.637462i | \(-0.779984\pi\) | ||||
−0.770482 | + | 0.637462i | \(0.779984\pi\) | |||||||
\(338\) | −6.25285 | − | 15.0606i | −0.340110 | − | 0.819189i | ||||
\(339\) | −7.96238 | + | 4.59708i | −0.432457 | + | 0.249679i | ||||
\(340\) | 6.92774 | + | 6.90494i | 0.375709 | + | 0.374473i | ||||
\(341\) | 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 | ||||
\(346\) | −17.0971 | − | 2.23654i | −0.919144 | − | 0.120237i | ||||
\(347\) | 0.490872 | + | 0.850215i | 0.0263514 | + | 0.0456420i | 0.878900 | − | 0.477005i | \(-0.158278\pi\) |
−0.852549 | + | 0.522647i | \(0.824944\pi\) | |||||||
\(348\) | 10.5702 | + | 2.81362i | 0.566623 | + | 0.150826i | ||||
\(349\) | 25.8547 | 1.38397 | 0.691985 | − | 0.721912i | \(-0.256736\pi\) | ||||
0.691985 | + | 0.721912i | \(0.256736\pi\) | |||||||
\(350\) | 3.58148 | − | 1.08306i | 0.191438 | − | 0.0578918i | ||||
\(351\) | 6.22923i | 0.332492i | ||||||||
\(352\) | −10.5879 | − | 8.05532i | −0.564338 | − | 0.429350i | ||||
\(353\) | 11.4688 | − | 6.62150i | 0.610421 | − | 0.352427i | −0.162709 | − | 0.986674i | \(-0.552023\pi\) |
0.773130 | + | 0.634247i | \(0.218690\pi\) | |||||||
\(354\) | 16.8282 | + | 2.20137i | 0.894410 | + | 0.117002i | ||||
\(355\) | 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 | 0.617514 | − | 0.786560i | \(-0.288140\pi\) |
−0.372424 | + | 0.928063i | \(0.621473\pi\) | |||||||
\(360\) | 0.714597 | + | 5.32614i | 0.0376626 | + | 0.280712i | ||||
\(361\) | −6.23836 | − | 10.8052i | −0.328335 | − | 0.568693i | ||||
\(362\) | 13.9138 | + | 33.5129i | 0.731295 | + | 1.76140i | ||||
\(363\) | 5.73606i | 0.301065i | ||||||||
\(364\) | 6.32817 | − | 1.04453i | 0.331686 | − | 0.0547485i | ||||
\(365\) | 12.8735i | 0.673830i | ||||||||
\(366\) | −1.53661 | + | 0.637969i | −0.0803199 | + | 0.0333472i | ||||
\(367\) | 10.6905 | + | 18.5165i | 0.558041 | + | 0.966556i | 0.997660 | + | 0.0683713i | \(0.0217803\pi\) |
−0.439619 | + | 0.898185i | \(0.644886\pi\) | |||||||
\(368\) | 17.4285 | − | 30.4182i | 0.908526 | − | 1.58566i | ||||
\(369\) | −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 | 0.296556 | − | 0.955016i | \(-0.404162\pi\) |
−0.678790 | + | 0.734333i | \(0.737495\pi\) | |||||||
\(374\) | −2.10984 | + | 16.1285i | −0.109097 | + | 0.833986i | ||||
\(375\) | −0.908317 | + | 0.524417i | −0.0469053 | + | 0.0270808i | ||||
\(376\) | −22.4436 | + | 17.3099i | −1.15744 | + | 0.892690i | ||||
\(377\) | − | 6.32045i | − | 0.325520i | ||||||
\(378\) | 18.7231 | + | 4.38266i | 0.963015 | + | 0.225419i | ||||
\(379\) | −4.45055 | −0.228609 | −0.114305 | − | 0.993446i | \(-0.536464\pi\) | ||||
−0.114305 | + | 0.993446i | \(0.536464\pi\) | |||||||
\(380\) | −1.31395 | + | 4.93626i | −0.0674043 | + | 0.253225i | ||||
\(381\) | −1.31633 | − | 2.27995i | −0.0674376 | − | 0.116805i | ||||
\(382\) | 1.29959 | − | 9.93465i | 0.0664931 | − | 0.508301i | ||||
\(383\) | −5.77418 | + | 10.0012i | −0.295047 | + | 0.511036i | −0.974996 | − | 0.222223i | \(-0.928669\pi\) |
0.679949 | + | 0.733259i | \(0.262002\pi\) | |||||||
\(384\) | −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 | ||||
\(388\) | −18.9233 | − | 18.8610i | −0.960683 | − | 0.957522i | ||||
\(389\) | −8.52646 | + | 4.92276i | −0.432309 | + | 0.249594i | −0.700330 | − | 0.713819i | \(-0.746964\pi\) |
0.268021 | + | 0.963413i | \(0.413630\pi\) | |||||||
\(390\) | −1.66045 | + | 0.689383i | −0.0840800 | + | 0.0349083i | ||||
\(391\) | −42.8629 | −2.16767 | ||||||||
\(392\) | 1.31272 | − | 19.7554i | 0.0663023 | − | 0.997800i | ||||
\(393\) | −5.72385 | −0.288730 | ||||||||
\(394\) | −33.6254 | + | 13.9606i | −1.69403 | + | 0.703324i | ||||
\(395\) | 1.34425 | − | 0.776104i | 0.0676367 | − | 0.0390500i | ||||
\(396\) | −6.30873 | + | 6.32956i | −0.317026 | + | 0.318072i | ||||
\(397\) | −13.9206 | + | 24.1113i | −0.698657 | + | 1.21011i | 0.270275 | + | 0.962783i | \(0.412885\pi\) |
−0.968932 | + | 0.247327i | \(0.920448\pi\) | |||||||
\(398\) | −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 | \(0.802464\pi\) | |||||||
\(402\) | 0.148851 | − | 1.13788i | 0.00742401 | − | 0.0567523i | ||||
\(403\) | −2.04651 | − | 3.54465i | −0.101944 | − | 0.176572i | ||||
\(404\) | 3.08853 | + | 0.822117i | 0.153660 | + | 0.0409019i | ||||
\(405\) | 0.309642 | 0.0153862 | ||||||||
\(406\) | −18.9973 | − | 4.44684i | −0.942822 | − | 0.220693i | ||||
\(407\) | − | 16.7388i | − | 0.829709i | ||||||
\(408\) | −11.4883 | + | 8.86046i | −0.568754 | + | 0.438658i | ||||
\(409\) | 3.55633 | − | 2.05325i | 0.175849 | − | 0.101527i | −0.409492 | − | 0.912314i | \(-0.634294\pi\) |
0.585341 | + | 0.810787i | \(0.300961\pi\) | |||||||
\(410\) | 0.584813 | − | 4.47056i | 0.0288819 | − | 0.220785i | ||||
\(411\) | 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 | ||||
\(416\) | −6.32384 | + | 2.65000i | −0.310052 | + | 0.129927i | ||||
\(417\) | 8.01029 | + | 13.8742i | 0.392265 | + | 0.679424i | ||||
\(418\) | −7.84543 | + | 3.25726i | −0.383733 | + | 0.159318i | ||||
\(419\) | − | 39.8516i | − | 1.94688i | −0.228943 | − | 0.973440i | \(-0.573527\pi\) | ||
0.228943 | − | 0.973440i | \(-0.426473\pi\) | |||||||
\(420\) | 0.903844 | + | 5.47581i | 0.0441031 | + | 0.267192i | ||||
\(421\) | 10.2595i | 0.500020i | 0.968243 | + | 0.250010i | \(0.0804339\pi\) | ||||
−0.968243 | + | 0.250010i | \(0.919566\pi\) | |||||||
\(422\) | 8.00247 | + | 19.2747i | 0.389554 | + | 0.938279i | ||||
\(423\) | 9.51959 | + | 16.4884i | 0.462859 | + | 0.801694i | ||||
\(424\) | 22.7593 | − | 3.05357i | 1.10529 | − | 0.148294i | ||||
\(425\) | 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 | ||||
\(430\) | −16.2805 | − | 2.12972i | −0.785115 | − | 0.102704i | ||||
\(431\) | 13.6969 | − | 7.90789i | 0.659755 | − | 0.380909i | −0.132429 | − | 0.991193i | \(-0.542278\pi\) |
0.792183 | + | 0.610283i | \(0.208944\pi\) | |||||||
\(432\) | −20.5568 | + | 0.0677510i | −0.989040 | + | 0.00325967i | ||||
\(433\) | 32.7619i | 1.57443i | 0.616676 | + | 0.787217i | \(0.288479\pi\) | ||||
−0.616676 | + | 0.787217i | \(0.711521\pi\) | |||||||
\(434\) | −12.0940 | + | 3.65728i | −0.580530 | + | 0.175555i | ||||
\(435\) | 5.46913 | 0.262225 | ||||||||
\(436\) | −2.47885 | + | 9.31256i | −0.118716 | + | 0.445991i | ||||
\(437\) | −11.1924 | − | 19.3858i | −0.535404 | − | 0.927347i | ||||
\(438\) | −18.9336 | − | 2.47679i | −0.904684 | − | 0.118346i | ||||
\(439\) | −0.202051 | + | 0.349962i | −0.00964336 | + | 0.0167028i | −0.870807 | − | 0.491625i | \(-0.836403\pi\) |
0.861163 | + | 0.508328i | \(0.169736\pi\) | |||||||
\(440\) | −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 | \(0.887886\pi\) | |||||||
\(444\) | 10.5396 | − | 10.5744i | 0.500189 | − | 0.501841i | ||||
\(445\) | 9.58219 | − | 5.53228i | 0.454239 | − | 0.262255i | ||||
\(446\) | 7.83703 | + | 18.8763i | 0.371094 | + | 0.893817i | ||||
\(447\) | 4.45196 | 0.210570 | ||||||||
\(448\) | 3.51585 | + | 20.8720i | 0.166108 | + | 0.986108i | ||||
\(449\) | 4.91848 | 0.232117 | 0.116059 | − | 0.993242i | \(-0.462974\pi\) | ||||
0.116059 | + | 0.993242i | \(0.462974\pi\) | |||||||
\(450\) | 1.03029 | + | 2.48155i | 0.0485683 | + | 0.116982i | ||||
\(451\) | 6.49328 | − | 3.74889i | 0.305756 | − | 0.176529i | ||||
\(452\) | −12.3767 | + | 12.4175i | −0.582150 | + | 0.584071i | ||||
\(453\) | −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 | \(-0.00100550\pi\) | |||||||
\(458\) | 18.3440 | + | 2.39966i | 0.857160 | + | 0.112129i | ||||
\(459\) | 12.5670 | + | 21.7666i | 0.586575 | + | 1.01598i | ||||
\(460\) | 4.50885 | − | 16.9389i | 0.210226 | − | 0.789779i | ||||
\(461\) | −27.8967 | −1.29928 | −0.649639 | − | 0.760243i | \(-0.725080\pi\) | ||||
−0.649639 | + | 0.760243i | \(0.725080\pi\) | |||||||
\(462\) | −6.31495 | + | 6.73075i | −0.293798 | + | 0.313143i | ||||
\(463\) | − | 38.9342i | − | 1.80942i | −0.426024 | − | 0.904712i | \(-0.640086\pi\) | ||
0.426024 | − | 0.904712i | \(-0.359914\pi\) | |||||||
\(464\) | 20.8578 | − | 0.0687431i | 0.968301 | − | 0.00319132i | ||||
\(465\) | 3.06722 | − | 1.77086i | 0.142239 | − | 0.0821216i | ||||
\(466\) | 29.2595 | + | 3.82756i | 1.35542 | + | 0.177308i | ||||
\(467\) | −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 | ||||
\(472\) | 32.0754 | − | 4.30349i | 1.47639 | − | 0.198084i | ||||
\(473\) | −13.6524 | − | 23.6467i | −0.627738 | − | 1.08727i | ||||
\(474\) | 0.882825 | + | 2.12637i | 0.0405495 | + | 0.0976674i | ||||
\(475\) | 2.55407i | 0.117189i | ||||||||
\(476\) | 20.0051 | − | 16.4164i | 0.916931 | − | 0.752447i | ||||
\(477\) | − | 15.4251i | − | 0.706268i | ||||||
\(478\) | −3.85250 | + | 1.59948i | −0.176209 | + | 0.0731585i | ||||
\(479\) | −4.29962 | − | 7.44716i | −0.196455 | − | 0.340269i | 0.750922 | − | 0.660391i | \(-0.229609\pi\) |
−0.947376 | + | 0.320122i | \(0.896276\pi\) | |||||||
\(480\) | −2.29306 | − | 5.47207i | −0.104663 | − | 0.249765i | ||||
\(481\) | −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 | ||||
\(486\) | −2.88774 | + | 22.0751i | −0.130991 | + | 1.00135i | ||||
\(487\) | 12.9204 | − | 7.45959i | 0.585478 | − | 0.338026i | −0.177829 | − | 0.984061i | \(-0.556907\pi\) |
0.763308 | + | 0.646035i | \(0.223574\pi\) | |||||||
\(488\) | −2.51224 | + | 1.93759i | −0.113724 | + | 0.0877108i | ||||
\(489\) | − | 13.3496i | − | 0.603688i | ||||||
\(490\) | −1.90654 | − | 9.71417i | −0.0861287 | − | 0.438841i | ||||
\(491\) | 3.92024 | 0.176918 | 0.0884589 | − | 0.996080i | \(-0.471806\pi\) | ||||
0.0884589 | + | 0.996080i | \(0.471806\pi\) | |||||||
\(492\) | 6.46253 | + | 1.72022i | 0.291353 | + | 0.0775536i | ||||
\(493\) | −12.7510 | − | 22.0854i | −0.574276 | − | 0.994675i | ||||
\(494\) | −0.567878 | + | 4.34110i | −0.0255500 | + | 0.195315i | ||||
\(495\) | −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 | \(0.0843895\pi\) | |||||||
\(500\) | −1.41188 | + | 1.41654i | −0.0631412 | + | 0.0633497i | ||||
\(501\) | 13.6756 | − | 7.89564i | 0.610983 | − | 0.352751i | ||||
\(502\) | 12.1529 | − | 5.04565i | 0.542412 | − | 0.225198i | ||||
\(503\) | 22.9658 | 1.02399 | 0.511997 | − | 0.858987i | \(-0.328906\pi\) | ||||
0.511997 | + | 0.858987i | \(0.328906\pi\) | |||||||
\(504\) | 14.2099 | − | 0.476357i | 0.632960 | − | 0.0212186i | ||||
\(505\) | 1.59804 | 0.0711118 | ||||||||
\(506\) | 26.9218 | − | 11.1774i | 1.19682 | − | 0.496894i | ||||
\(507\) | 10.4736 | − | 6.04696i | 0.465151 | − | 0.268555i | ||||
\(508\) | −3.55564 | − | 3.54394i | −0.157756 | − | 0.157237i | ||||
\(509\) | −12.4956 | + | 21.6429i | −0.553856 | + | 0.959306i | 0.444136 | + | 0.895959i | \(0.353511\pi\) |
−0.997992 | + | 0.0633469i | \(0.979823\pi\) | |||||||
\(510\) | −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 | ||||
\(514\) | −5.52167 | + | 42.2100i | −0.243550 | + | 1.86180i | ||||
\(515\) | 1.77318 | + | 3.07124i | 0.0781357 | + | 0.135335i | ||||
\(516\) | 6.26455 | − | 23.5347i | 0.275782 | − | 1.03606i | ||||
\(517\) | −23.5673 | −1.03649 | ||||||||
\(518\) | −18.2214 | + | 19.4212i | −0.800603 | + | 0.853318i | ||||
\(519\) | − | 12.7879i | − | 0.561325i | ||||||
\(520\) | −2.71470 | + | 2.09374i | −0.119048 | + | 0.0918168i | ||||
\(521\) | 14.0875 | − | 8.13341i | 0.617184 | − | 0.356331i | −0.158588 | − | 0.987345i | \(-0.550694\pi\) |
0.775772 | + | 0.631014i | \(0.217361\pi\) | |||||||
\(522\) | 1.81735 | − | 13.8926i | 0.0795434 | − | 0.608063i | ||||
\(523\) | −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 | ||||
\(528\) | 4.90513 | − | 8.56097i | 0.213468 | − | 0.372568i | ||||
\(529\) | 26.9069 | + | 46.6042i | 1.16987 | + | 2.02627i | ||||
\(530\) | 10.6040 | − | 4.40256i | 0.460608 | − | 0.191235i | ||||
\(531\) | − | 21.7392i | − | 0.943399i | ||||||
\(532\) | 12.6485 | + | 4.76110i | 0.548380 | + | 0.206420i | ||||
\(533\) | − | 3.86427i | − | 0.167380i | ||||||
\(534\) | 6.29301 | + | 15.1573i | 0.272325 | + | 0.655922i | ||||
\(535\) | 4.99959 | + | 8.65954i | 0.216151 | + | 0.374385i | ||||
\(536\) | −0.290990 | − | 2.16885i | −0.0125689 | − | 0.0936801i | ||||
\(537\) | 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 | −0.450601 | − | 0.892725i | \(-0.648790\pi\) |
−0.998423 | + | 0.0561307i | \(0.982124\pi\) | |||||||
\(542\) | −20.7587 | − | 2.71553i | −0.891662 | − | 0.116642i | ||||
\(543\) | −23.3060 | + | 13.4557i | −1.00015 | + | 0.577439i | ||||
\(544\) | −16.7511 | + | 22.0176i | −0.718196 | + | 0.943998i | ||||
\(545\) | 4.81842i | 0.206398i | ||||||||
\(546\) | 1.37687 | + | 4.55308i | 0.0589248 | + | 0.194854i | ||||
\(547\) | −1.29047 | −0.0551764 | −0.0275882 | − | 0.999619i | \(-0.508783\pi\) | ||||
−0.0275882 | + | 0.999619i | \(0.508783\pi\) | |||||||
\(548\) | 29.1256 | + | 7.75277i | 1.24419 | + | 0.331182i | ||||
\(549\) | 1.06558 | + | 1.84564i | 0.0454779 | + | 0.0787701i | ||||
\(550\) | −3.29786 | − | 0.431408i | −0.140621 | − | 0.0183953i | ||||
\(551\) | 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 | ||||
\(556\) | 21.6372 | + | 21.5660i | 0.917621 | + | 0.914602i | ||||
\(557\) | −5.64503 | + | 3.25916i | −0.239188 | + | 0.138095i | −0.614803 | − | 0.788680i | \(-0.710765\pi\) |
0.375616 | + | 0.926776i | \(0.377431\pi\) | |||||||
\(558\) | −3.47909 | − | 8.37974i | −0.147282 | − | 0.354743i | ||||
\(559\) | −14.0726 | −0.595206 | ||||||||
\(560\) | 4.38319 | + | 9.63264i | 0.185224 | + | 0.407053i | ||||
\(561\) | −12.0634 | −0.509319 | ||||||||
\(562\) | −6.64605 | − | 16.0077i | −0.280347 | − | 0.675243i | ||||
\(563\) | 24.9474 | − | 14.4034i | 1.05141 | − | 0.607030i | 0.128364 | − | 0.991727i | \(-0.459027\pi\) |
0.923043 | + | 0.384697i | \(0.125694\pi\) | |||||||
\(564\) | −14.8882 | − | 14.8392i | −0.626908 | − | 0.624845i | ||||
\(565\) | −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 | \(0.0900961\pi\) | |||||||
\(570\) | −3.75638 | − | 0.491389i | −0.157338 | − | 0.0205820i | ||||
\(571\) | −1.36107 | − | 2.35745i | −0.0569592 | − | 0.0986562i | 0.836140 | − | 0.548516i | \(-0.184807\pi\) |
−0.893099 | + | 0.449860i | \(0.851474\pi\) | |||||||
\(572\) | −5.50939 | − | 1.46651i | −0.230359 | − | 0.0613178i | ||||
\(573\) | 7.43068 | 0.310421 | ||||||||
\(574\) | −11.6148 | − | 2.71876i | −0.484792 | − | 0.113479i | ||||
\(575\) | − | 8.76435i | − | 0.365499i | ||||||
\(576\) | −14.6620 | + | 4.00647i | −0.610918 | + | 0.166936i | ||||
\(577\) | −8.29404 | + | 4.78857i | −0.345285 | + | 0.199351i | −0.662607 | − | 0.748967i | \(-0.730550\pi\) |
0.317321 | + | 0.948318i | \(0.397217\pi\) | |||||||
\(578\) | 9.70082 | + | 1.26901i | 0.403501 | + | 0.0527837i | ||||
\(579\) | 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 | ||||
\(584\) | −36.0884 | + | 4.84191i | −1.49335 | + | 0.200360i | ||||
\(585\) | 1.15146 | + | 1.99438i | 0.0476069 | + | 0.0824576i | ||||
\(586\) | 14.6641 | + | 35.3199i | 0.605767 | + | 1.45905i | ||||
\(587\) | − | 37.9535i | − | 1.56651i | −0.621703 | − | 0.783253i | \(-0.713559\pi\) | ||
0.621703 | − | 0.783253i | \(-0.286441\pi\) | |||||||
\(588\) | 14.6539 | − | 0.935081i | 0.604315 | − | 0.0385621i | ||||
\(589\) | − | 8.62461i | − | 0.355371i | ||||||
\(590\) | 14.9446 | − | 6.20467i | 0.615258 | − | 0.255442i | ||||
\(591\) | −13.5009 | − | 23.3843i | −0.555353 | − | 0.961900i | ||||
\(592\) | 14.1535 | − | 24.7022i | 0.581703 | − | 1.01525i | ||||
\(593\) | 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 | ||||
\(598\) | 1.94869 | − | 14.8966i | 0.0796877 | − | 0.609166i | ||||
\(599\) | 28.0612 | − | 16.2011i | 1.14655 | − | 0.661960i | 0.198504 | − | 0.980100i | \(-0.436392\pi\) |
0.948044 | + | 0.318140i | \(0.103058\pi\) | |||||||
\(600\) | −1.81173 | − | 2.34905i | −0.0739637 | − | 0.0958996i | ||||
\(601\) | 22.3390i | 0.911226i | 0.890178 | + | 0.455613i | \(0.150580\pi\) | ||||
−0.890178 | + | 0.455613i | \(0.849420\pi\) | |||||||
\(602\) | −9.90093 | + | 42.2978i | −0.403532 | + | 1.72393i | ||||
\(603\) | −1.46994 | −0.0598607 | ||||||||
\(604\) | −0.616205 | + | 2.31496i | −0.0250730 | + | 0.0941944i | ||||
\(605\) | 2.73450 | + | 4.73629i | 0.111173 | + | 0.192557i | ||||
\(606\) | −0.307454 | + | 2.35031i | −0.0124895 | + | 0.0954747i | ||||
\(607\) | 14.9462 | − | 25.8877i | 0.606649 | − | 1.05075i | −0.385139 | − | 0.922858i | \(-0.625847\pi\) |
0.991789 | − | 0.127889i | \(-0.0408201\pi\) | |||||||
\(608\) | −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 | ||||
\(612\) | 13.1623 | + | 13.1190i | 0.532056 | + | 0.530305i | ||||
\(613\) | −7.53192 | + | 4.34856i | −0.304211 | + | 0.175637i | −0.644333 | − | 0.764745i | \(-0.722865\pi\) |
0.340122 | + | 0.940381i | \(0.389532\pi\) | |||||||
\(614\) | −4.34076 | + | 1.80220i | −0.175179 | + | 0.0727307i | ||||
\(615\) | 3.34378 | 0.134834 | ||||||||
\(616\) | −8.28407 | + | 15.5277i | −0.333775 | + | 0.625630i | ||||
\(617\) | 14.2056 | 0.571897 | 0.285948 | − | 0.958245i | \(-0.407691\pi\) | ||||
0.285948 | + | 0.958245i | \(0.407691\pi\) | |||||||
\(618\) | −4.85816 | + | 2.01701i | −0.195424 | + | 0.0811359i | ||||
\(619\) | 16.3642 | − | 9.44785i | 0.657731 | − | 0.379741i | −0.133681 | − | 0.991024i | \(-0.542680\pi\) |
0.791412 | + | 0.611283i | \(0.209346\pi\) | |||||||
\(620\) | 4.76766 | − | 4.78340i | 0.191474 | − | 0.192106i | ||||
\(621\) | 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 | ||||
\(626\) | 2.65476 | − | 20.2941i | 0.106106 | − | 0.811117i | ||||
\(627\) | −3.15001 | − | 5.45597i | −0.125799 | − | 0.217891i | ||||
\(628\) | 21.3126 | + | 5.67308i | 0.850467 | + | 0.226381i | ||||
\(629\) | −34.8083 | −1.38790 | ||||||||
\(630\) | 6.80462 | − | 2.05775i | 0.271103 | − | 0.0819828i | ||||
\(631\) | 3.99376i | 0.158989i | 0.996835 | + | 0.0794945i | \(0.0253306\pi\) | ||||
−0.996835 | + | 0.0794945i | \(0.974669\pi\) | |||||||
\(632\) | 2.68125 | + | 3.47645i | 0.106654 | + | 0.138286i | ||||
\(633\) | −13.4043 | + | 7.73897i | −0.532773 | + | 0.307596i | ||||
\(634\) | −2.78451 | + | 21.2859i | −0.110587 | + | 0.845373i | ||||
\(635\) | −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 | ||||
\(640\) | −6.93900 | − | 8.93590i | −0.274288 | − | 0.353222i | ||||
\(641\) | 9.65359 | + | 16.7205i | 0.381294 | + | 0.660420i | 0.991247 | − | 0.132017i | \(-0.0421453\pi\) |
−0.609954 | + | 0.792437i | \(0.708812\pi\) | |||||||
\(642\) | −13.6979 | + | 5.68707i | −0.540612 | + | 0.224451i | ||||
\(643\) | 21.3394i | 0.841544i | 0.907166 | + | 0.420772i | \(0.138241\pi\) | ||||
−0.907166 | + | 0.420772i | \(0.861759\pi\) | |||||||
\(644\) | −43.4035 | − | 16.3378i | −1.71034 | − | 0.643801i | ||||
\(645\) | − | 12.1771i | − | 0.479473i | ||||||
\(646\) | 6.77349 | + | 16.3146i | 0.266499 | + | 0.641890i | ||||
\(647\) | 11.9178 | + | 20.6422i | 0.468535 | + | 0.811527i | 0.999353 | − | 0.0359589i | \(-0.0114485\pi\) |
−0.530818 | + | 0.847486i | \(0.678115\pi\) | |||||||
\(648\) | 0.116461 | + | 0.868022i | 0.00457501 | + | 0.0340991i | ||||
\(649\) | 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 | 0.428577 | − | 0.903505i | \(-0.359015\pi\) |
−0.568170 | + | 0.822911i | \(0.692348\pi\) | |||||||
\(654\) | −7.08666 | − | 0.927037i | −0.277110 | − | 0.0362500i | ||||
\(655\) | −4.72620 | + | 2.72867i | −0.184668 | + | 0.106618i | ||||
\(656\) | 12.7523 | − | 0.0420289i | 0.497894 | − | 0.00164095i | ||||
\(657\) | 24.4590i | 0.954235i | ||||||||
\(658\) | 27.3440 | + | 25.6547i | 1.06598 | + | 1.00013i | ||||
\(659\) | 39.8908 | 1.55393 | 0.776963 | − | 0.629546i | \(-0.216759\pi\) | ||||
0.776963 | + | 0.629546i | \(0.216759\pi\) | |||||||
\(660\) | 1.26898 | − | 4.76731i | 0.0493950 | − | 0.185567i | ||||
\(661\) | 20.1318 | + | 34.8692i | 0.783035 | + | 1.35626i | 0.930166 | + | 0.367139i | \(0.119663\pi\) |
−0.147132 | + | 0.989117i | \(0.547004\pi\) | |||||||
\(662\) | 23.0835 | + | 3.01966i | 0.897167 | + | 0.117362i | ||||
\(663\) | −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 | ||||
\(668\) | 21.2573 | − | 21.3275i | 0.822471 | − | 0.825186i | ||||
\(669\) | −13.1272 | + | 7.57898i | −0.507526 | + | 0.293020i | ||||
\(670\) | −0.419543 | − | 1.01051i | −0.0162084 | − | 0.0390394i | ||||
\(671\) | −2.63802 | −0.101839 | ||||||||
\(672\) | −15.0104 | + | 4.59328i | −0.579041 | + | 0.177190i | ||||
\(673\) | −23.6181 | −0.910412 | −0.455206 | − | 0.890386i | \(-0.650434\pi\) | ||||
−0.455206 | + | 0.890386i | \(0.650434\pi\) | |||||||
\(674\) | −15.3400 | − | 36.9479i | −0.590874 | − | 1.42318i | ||||
\(675\) | −4.45070 | + | 2.56962i | −0.171308 | + | 0.0989045i | ||||
\(676\) | 16.2802 | − | 16.3339i | 0.626160 | − | 0.628227i | ||||
\(677\) | 12.2908 | − | 21.2883i | 0.472374 | − | 0.818175i | −0.527127 | − | 0.849787i | \(-0.676731\pi\) |
0.999500 | + | 0.0316116i | \(0.0100639\pi\) | |||||||
\(678\) | −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 | ||||
\(682\) | 11.1363 | + | 1.45678i | 0.426430 | + | 0.0557831i | ||||
\(683\) | −10.5724 | − | 18.3120i | −0.404543 | − | 0.700688i | 0.589726 | − | 0.807604i | \(-0.299236\pi\) |
−0.994268 | + | 0.106915i | \(0.965903\pi\) | |||||||
\(684\) | −2.49644 | + | 9.37863i | −0.0954537 | + | 0.358601i | ||||
\(685\) | 15.0699 | 0.575791 | ||||||||
\(686\) | −26.0761 | + | 2.45680i | −0.995591 | + | 0.0938012i | ||||
\(687\) | 13.7205i | 0.523471i | ||||||||
\(688\) | −0.153057 | − | 46.4403i | −0.00583526 | − | 1.77052i | ||||
\(689\) | 8.52225 | − | 4.92032i | 0.324672 | − | 0.187449i | ||||
\(690\) | 12.8901 | + | 1.68621i | 0.490719 | + | 0.0641930i | ||||
\(691\) | −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 | ||||
\(696\) | 2.05702 | + | 15.3317i | 0.0779711 | + | 0.581146i | ||||
\(697\) | −7.79584 | − | 13.5028i | −0.295289 | − | 0.511455i | ||||
\(698\) | 14.0203 | + | 33.7692i | 0.530676 | + | 1.27818i | ||||
\(699\) | 21.8848i | 0.827759i | ||||||||
\(700\) | 3.35674 | + | 4.09052i | 0.126873 | + | 0.154607i | ||||
\(701\) | 45.6142i | 1.72283i | 0.507906 | + | 0.861413i | \(0.330420\pi\) | ||||
−0.507906 | + | 0.861413i | \(0.669580\pi\) | |||||||
\(702\) | −8.13610 | + | 3.37794i | −0.307077 | + | 0.127492i | ||||
\(703\) | −9.08916 | − | 15.7429i | −0.342804 | − | 0.593754i | ||||
\(704\) | 4.77964 | − | 18.1972i | 0.180140 | − | 0.685834i | ||||
\(705\) | −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 | 0.0209062 | − | 0.999781i | \(-0.493345\pi\) |
−0.855383 | + | 0.517996i | \(0.826678\pi\) | |||||||
\(710\) | −0.464490 | + | 3.55076i | −0.0174320 | + | 0.133258i | ||||
\(711\) | 2.55401 | − | 1.47456i | 0.0957828 | − | 0.0553002i | ||||
\(712\) | 19.1127 | + | 24.7811i | 0.716278 | + | 0.928709i | ||||
\(713\) | 29.5956i | 1.10836i | ||||||||
\(714\) | 13.9966 | + | 13.1320i | 0.523811 | + | 0.491451i | ||||
\(715\) | −2.85061 | −0.106607 | ||||||||
\(716\) | 2.70055 | + | 0.718842i | 0.100924 | + | 0.0268644i | ||||
\(717\) | −1.54681 | − | 2.67916i | −0.0577668 | − | 0.100055i | ||||
\(718\) | −0.983624 | + | 7.51923i | −0.0367085 | + | 0.280615i | ||||
\(719\) | −11.6722 | + | 20.2169i | −0.435301 | + | 0.753964i | −0.997320 | − | 0.0731603i | \(-0.976692\pi\) |
0.562019 | + | 0.827124i | \(0.310025\pi\) | |||||||
\(720\) | −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 | ||||
\(724\) | −36.2266 | + | 36.3462i | −1.34635 | + | 1.35080i | ||||
\(725\) | 4.51588 | − | 2.60725i | 0.167716 | − | 0.0968307i | ||||
\(726\) | −7.49197 | + | 3.11051i | −0.278053 | + | 0.115442i | ||||
\(727\) | −17.2636 | −0.640273 | −0.320136 | − | 0.947371i | \(-0.603729\pi\) | ||||
−0.320136 | + | 0.947371i | \(0.603729\pi\) | |||||||
\(728\) | 4.79588 | + | 7.69891i | 0.177747 | + | 0.285340i | ||||
\(729\) | −15.5823 | −0.577122 | ||||||||
\(730\) | −16.8143 | + | 6.98094i | −0.622325 | + | 0.258376i | ||||
\(731\) | −49.1733 | + | 28.3902i | −1.81874 | + | 1.05005i | ||||
\(732\) | −1.66652 | − | 1.66104i | −0.0615965 | − | 0.0613938i | ||||
\(733\) | −13.4244 | + | 23.2518i | −0.495843 | + | 0.858825i | −0.999989 | − | 0.00479386i | \(-0.998474\pi\) |
0.504146 | + | 0.863619i | \(0.331807\pi\) | |||||||
\(734\) | −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 | ||||
\(738\) | 1.11111 | − | 8.49382i | 0.0409007 | − | 0.312662i | ||||
\(739\) | −6.14064 | − | 10.6359i | −0.225887 | − | 0.391248i | 0.730698 | − | 0.682701i | \(-0.239195\pi\) |
−0.956585 | + | 0.291453i | \(0.905861\pi\) | |||||||
\(740\) | 3.66157 | − | 13.7558i | 0.134602 | − | 0.505673i | ||||
\(741\) | −3.24695 | −0.119280 | ||||||||
\(742\) | −8.79304 | − | 29.0770i | −0.322802 | − | 1.06745i | ||||
\(743\) | − | 24.4507i | − | 0.897009i | −0.893781 | − | 0.448505i | \(-0.851957\pi\) | ||
0.893781 | − | 0.448505i | \(-0.148043\pi\) | |||||||
\(744\) | 6.11788 | + | 7.93231i | 0.224292 | + | 0.290812i | ||||
\(745\) | 3.67599 | − | 2.12234i | 0.134678 | − | 0.0777564i | ||||
\(746\) | 1.56365 | − | 11.9532i | 0.0572493 | − | 0.437637i | ||||
\(747\) | −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 | 0.952938 | − | 0.303164i | \(-0.0980430\pi\) |
0.213921 | + | 0.976851i | \(0.431376\pi\) | |||||||
\(752\) | −34.7793 | − | 19.9273i | −1.26827 | − | 0.726674i | ||||
\(753\) | 4.87951 | + | 8.45156i | 0.177819 | + | 0.307992i | ||||
\(754\) | 8.25525 | − | 3.42741i | 0.300638 | − | 0.124819i | ||||
\(755\) | 1.19778i | 0.0435918i | ||||||||
\(756\) | 4.42879 | + | 26.8312i | 0.161073 | + | 0.975841i | ||||
\(757\) | 14.6178i | 0.531293i | 0.964071 | + | 0.265646i | \(0.0855854\pi\) | ||||
−0.964071 | + | 0.265646i | \(0.914415\pi\) | |||||||
\(758\) | −2.41341 | − | 5.81294i | −0.0876590 | − | 0.211135i | ||||
\(759\) | 10.8093 | + | 18.7223i | 0.392354 | + | 0.679577i | ||||
\(760\) | −7.15985 | + | 0.960622i | −0.259715 | + | 0.0348454i | ||||
\(761\) | −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 | ||||
\(766\) | −16.1939 | − | 2.11839i | −0.585108 | − | 0.0765406i | ||||
\(767\) | 12.0107 | − | 6.93437i | 0.433681 | − | 0.250386i | ||||
\(768\) | 14.4774 | − | 8.48628i | 0.522410 | − | 0.306222i | ||||
\(769\) | 3.82227i | 0.137834i | 0.997622 | + | 0.0689172i | \(0.0219544\pi\) | ||||
−0.997622 | + | 0.0689172i | \(0.978046\pi\) | |||||||
\(770\) | −2.00559 | + | 8.56807i | −0.0722763 | + | 0.308772i | ||||
\(771\) | −31.5712 | −1.13701 | ||||||||
\(772\) | 36.7641 | + | 9.78602i | 1.32317 | + | 0.352207i | ||||
\(773\) | 22.2173 | + | 38.4815i | 0.799101 | + | 1.38408i | 0.920202 | + | 0.391443i | \(0.128024\pi\) |
−0.121102 | + | 0.992640i | \(0.538643\pi\) | |||||||
\(774\) | −30.9321 | − | 4.04636i | −1.11183 | − | 0.145443i | ||||
\(775\) | 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 | ||||
\(780\) | −1.80083 | − | 1.79490i | −0.0644800 | − | 0.0642678i | ||||
\(781\) | −5.15731 | + | 2.97758i | −0.184543 | + | 0.106546i | ||||
\(782\) | −23.2434 | − | 55.9840i | −0.831182 | − | 2.00198i | ||||
\(783\) | 26.7985 | 0.957699 | ||||||||
\(784\) | 26.5147 | − | 8.99826i | 0.946955 | − | 0.321366i | ||||
\(785\) | 11.0274 | 0.393584 | ||||||||
\(786\) | −3.10388 | − | 7.47601i | −0.110712 | − | 0.266661i | ||||
\(787\) | 46.4327 | − | 26.8079i | 1.65515 | − | 0.955600i | 0.680240 | − | 0.732989i | \(-0.261875\pi\) |
0.974907 | − | 0.222611i | \(-0.0714580\pi\) | |||||||
\(788\) | −36.4683 | − | 36.3483i | −1.29913 | − | 1.29486i | ||||
\(789\) | −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 | ||||
\(794\) | −39.0409 | − | 5.10711i | −1.38551 | − | 0.181245i | ||||
\(795\) | 4.25759 | + | 7.37437i | 0.151001 | + | 0.261542i | ||||
\(796\) | −13.0752 | − | 3.48040i | −0.463437 | − | 0.123359i | ||||
\(797\) | 30.6896 | 1.08708 | 0.543541 | − | 0.839383i | \(-0.317083\pi\) | ||||
0.543541 | + | 0.839383i | \(0.317083\pi\) | |||||||
\(798\) | −2.28443 | + | 9.75933i | −0.0808681 | + | 0.345477i | ||||
\(799\) | 49.0082i | 1.73379i | ||||||||
\(800\) | −4.50203 | − | 3.42516i | −0.159171 | − | 0.121098i | ||||
\(801\) | 18.2057 | − | 10.5110i | 0.643265 | − | 0.371389i | ||||
\(802\) | −51.1270 | − | 6.68815i | −1.80536 | − | 0.236167i | ||||
\(803\) | −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 | ||||
\(808\) | 0.601045 | + | 4.47979i | 0.0211447 | + | 0.157599i | ||||
\(809\) | −4.24657 | − | 7.35528i | −0.149302 | − | 0.258598i | 0.781668 | − | 0.623695i | \(-0.214369\pi\) |
−0.930970 | + | 0.365097i | \(0.881036\pi\) | |||||||
\(810\) | 0.167910 | + | 0.404429i | 0.00589977 | + | 0.0142102i | ||||
\(811\) | 21.1581i | 0.742961i | 0.928441 | + | 0.371480i | \(0.121150\pi\) | ||||
−0.928441 | + | 0.371480i | \(0.878850\pi\) | |||||||
\(812\) | −4.49364 | − | 27.2241i | −0.157696 | − | 0.955379i | ||||
\(813\) | − | 15.5266i | − | 0.544541i | ||||||
\(814\) | 21.8628 | − | 9.07697i | 0.766290 | − | 0.318148i | ||||
\(815\) | −6.36400 | − | 11.0228i | −0.222921 | − | 0.386111i | ||||
\(816\) | −17.8026 | − | 10.2002i | −0.623215 | − | 0.357080i | ||||
\(817\) | −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 | 0.199457 | − | 0.979907i | \(-0.436082\pi\) |
−0.748896 | + | 0.662688i | \(0.769416\pi\) | |||||||
\(822\) | −2.89937 | + | 22.1640i | −0.101127 | + | 0.773057i | ||||
\(823\) | −29.4225 | + | 16.9871i | −1.02561 | + | 0.592133i | −0.915723 | − | 0.401811i | \(-0.868381\pi\) |
−0.109883 | + | 0.993945i | \(0.535048\pi\) | |||||||
\(824\) | −7.94272 | + | 6.12591i | −0.276698 | + | 0.213406i | ||||
\(825\) | − | 2.46666i | − | 0.0858780i | ||||||
\(826\) | −12.3923 | − | 40.9792i | −0.431184 | − | 1.42585i | ||||
\(827\) | −29.9169 | −1.04031 | −0.520157 | − | 0.854071i | \(-0.674126\pi\) | ||||
−0.520157 | + | 0.854071i | \(0.674126\pi\) | |||||||
\(828\) | 8.56659 | − | 32.1830i | 0.297709 | − | 1.11844i | ||||
\(829\) | 7.84211 | + | 13.5829i | 0.272368 | + | 0.471755i | 0.969468 | − | 0.245219i | \(-0.0788600\pi\) |
−0.697100 | + | 0.716974i | \(0.745527\pi\) | |||||||
\(830\) | 0.820890 | − | 6.27523i | 0.0284935 | − | 0.217816i | ||||
\(831\) | −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 | ||||
\(836\) | −8.50872 | − | 8.48073i | −0.294280 | − | 0.293312i | ||||
\(837\) | 15.0292 | − | 8.67711i | 0.519485 | − | 0.299925i | ||||
\(838\) | 52.0509 | − | 21.6104i | 1.79807 | − | 0.746520i | ||||
\(839\) | 10.8159 | 0.373405 | 0.186702 | − | 0.982417i | \(-0.440220\pi\) | ||||
0.186702 | + | 0.982417i | \(0.440220\pi\) | |||||||
\(840\) | −6.66192 | + | 4.14991i | −0.229858 | + | 0.143185i | ||||
\(841\) | 1.80909 | 0.0623823 | ||||||||
\(842\) | −13.4002 | + | 5.56347i | −0.461800 | + | 0.191730i | ||||
\(843\) | 11.1323 | − | 6.42722i | 0.383416 | − | 0.221365i | ||||
\(844\) | −20.8355 | + | 20.9043i | −0.717189 | + | 0.719556i | ||||
\(845\) | 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 | ||||
\(850\) | −0.897115 | + | 6.85792i | −0.0307708 | + | 0.235225i | ||||
\(851\) | 31.1897 | + | 54.0221i | 1.06917 | + | 1.85185i | ||||
\(852\) | −5.13289 | − | 1.36629i | −0.175850 | − | 0.0468084i | ||||
\(853\) | 37.5530 | 1.28579 | 0.642894 | − | 0.765955i | \(-0.277733\pi\) | ||||
0.642894 | + | 0.765955i | \(0.277733\pi\) | |||||||
\(854\) | 3.06077 | + | 2.87168i | 0.104737 | + | 0.0982669i | ||||
\(855\) | 4.85260i | 0.165955i | ||||||||
\(856\) | −22.3950 | + | 17.2724i | −0.765444 | + | 0.590358i | ||||
\(857\) | 4.42892 | − | 2.55704i | 0.151289 | − | 0.0873467i | −0.422444 | − | 0.906389i | \(-0.638828\pi\) |
0.573733 | + | 0.819042i | \(0.305495\pi\) | |||||||
\(858\) | 0.548442 | − | 4.19252i | 0.0187235 | − | 0.143130i | ||||
\(859\) | −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 | 0.265138 | − | 0.964210i | \(-0.414582\pi\) |
−0.702462 | + | 0.711721i | \(0.747916\pi\) | |||||||
\(864\) | −11.2359 | − | 26.8129i | −0.382253 | − | 0.912192i | ||||
\(865\) | −6.09623 | − | 10.5590i | −0.207278 | − | 0.359016i | ||||
\(866\) | −42.7908 | + | 17.7659i | −1.45409 | + | 0.603708i | ||||
\(867\) | 7.25579i | 0.246419i | ||||||||
\(868\) | −11.3351 | − | 13.8129i | −0.384737 | − | 0.468841i | ||||
\(869\) | 3.65050i | 0.123835i | ||||||||
\(870\) | 2.96576 | + | 7.14333i | 0.100549 | + | 0.242181i | ||||
\(871\) | −0.468884 | − | 0.812130i | −0.0158875 | − | 0.0275180i | ||||
\(872\) | −13.5075 | + | 1.81228i | −0.457422 | + | 0.0613714i | ||||
\(873\) | −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 | 0.794496 | − | 0.607270i | \(-0.207735\pi\) |
−0.128663 | + | 0.991688i | \(0.541069\pi\) | |||||||
\(878\) | −0.566658 | − | 0.0741271i | −0.0191238 | − | 0.00250167i | ||||
\(879\) | −24.5626 | + | 14.1812i | −0.828476 | + | 0.478321i | ||||
\(880\) | −0.0310041 | − | 9.40719i | −0.00104515 | − | 0.317116i | ||||
\(881\) | − | 46.0172i | − | 1.55036i | −0.631742 | − | 0.775179i | \(-0.717660\pi\) | ||
0.631742 | − | 0.775179i | \(-0.282340\pi\) | |||||||
\(882\) | −3.62233 | − | 18.4564i | −0.121970 | − | 0.621460i | ||||
\(883\) | −48.2392 | −1.62338 | −0.811689 | − | 0.584090i | \(-0.801452\pi\) | ||||
−0.811689 | + | 0.584090i | \(0.801452\pi\) | |||||||
\(884\) | −3.04961 | + | 11.4568i | −0.102570 | + | 0.385334i | ||||
\(885\) | 6.00037 | + | 10.3929i | 0.201700 | + | 0.349355i | ||||
\(886\) | −45.3378 | − | 5.93084i | −1.52315 | − | 0.199251i | ||||
\(887\) | 26.5340 | − | 45.9583i | 0.890926 | − | 1.54313i | 0.0521586 | − | 0.998639i | \(-0.483390\pi\) |
0.838767 | − | 0.544490i | \(-0.183277\pi\) | |||||||
\(888\) | 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 | ||||
\(892\) | −20.4048 | + | 20.4722i | −0.683203 | + | 0.685459i | ||||
\(893\) | −22.1651 | + | 12.7970i | −0.741728 | + | 0.428237i | ||||
\(894\) | 2.41417 | + | 5.81477i | 0.0807420 | + | 0.194475i | ||||
\(895\) | 1.39729 | 0.0467063 | ||||||||
\(896\) | −25.3547 | + | 15.9104i | −0.847040 | + | 0.531529i | ||||
\(897\) | 11.1420 | 0.372020 | ||||||||
\(898\) | 2.66716 | + | 6.42411i | 0.0890042 | + | 0.214375i | ||||
\(899\) | −15.2493 | + | 8.80418i | −0.508592 | + | 0.293636i | ||||
\(900\) | −2.68250 | + | 2.69136i | −0.0894167 | + | 0.0897118i | ||||
\(901\) | 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 | ||||
\(906\) | −1.76163 | − | 0.230447i | −0.0585264 | − | 0.00765609i | ||||
\(907\) | 19.4872 | + | 33.7529i | 0.647063 | + | 1.12075i | 0.983821 | + | 0.179155i | \(0.0573364\pi\) |
−0.336758 | + | 0.941591i | \(0.609330\pi\) | |||||||
\(908\) | 2.36339 | − | 8.87879i | 0.0784318 | − | 0.294653i | ||||
\(909\) | 3.03619 | 0.100704 | ||||||||
\(910\) | 3.30743 | + | 3.10311i | 0.109640 | + | 0.102867i | ||||
\(911\) | 23.8599i | 0.790512i | 0.918571 | + | 0.395256i | \(0.129344\pi\) | ||||
−0.918571 | + | 0.395256i | \(0.870656\pi\) | |||||||
\(912\) | −0.0353148 | − | 10.7151i | −0.00116939 | − | 0.354813i | ||||
\(913\) | 9.11448 | − | 5.26225i | 0.301645 | − | 0.174155i | ||||
\(914\) | 30.1409 | + | 3.94286i | 0.996972 | + | 0.130418i | ||||
\(915\) | −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 | 0.0560847 | − | 0.998426i | \(-0.482138\pi\) |
−0.836620 | + | 0.547784i | \(0.815472\pi\) | |||||||
\(920\) | 24.5692 | − | 3.29640i | 0.810022 | − | 0.108679i | ||||
\(921\) | −1.74285 | − | 3.01871i | −0.0574290 | − | 0.0994699i | ||||
\(922\) | −15.1276 | − | 36.4363i | −0.498201 | − | 1.19997i | ||||
\(923\) | 3.06921i | 0.101024i | ||||||||
\(924\) | −12.2156 | − | 4.59815i | −0.401863 | − | 0.151268i | ||||
\(925\) | − | 7.11740i | − | 0.234019i | ||||||
\(926\) | 50.8525 | − | 21.1129i | 1.67112 | − | 0.693814i | ||||
\(927\) | 3.36895 | + | 5.83520i | 0.110651 | + | 0.191653i | ||||
\(928\) | 11.4004 | + | 27.2055i | 0.374237 | + | 0.893064i | ||||
\(929\) | 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 | ||||
\(934\) | 4.58765 | − | 35.0699i | 0.150113 | − | 1.14752i | ||||
\(935\) | −9.96081 | + | 5.75088i | −0.325753 | + | 0.188074i | ||||
\(936\) | −5.15779 | + | 3.97800i | −0.168588 | + | 0.130025i | ||||
\(937\) | − | 9.65373i | − | 0.315374i | −0.987489 | − | 0.157687i | \(-0.949596\pi\) | ||
0.987489 | − | 0.157687i | \(-0.0504036\pi\) | |||||||
\(938\) | −2.77090 | + | 0.837935i | −0.0904732 | + | 0.0273595i | ||||
\(939\) | 15.1791 | 0.495352 | ||||||||
\(940\) | −19.3674 | − | 5.15529i | −0.631696 | − | 0.168147i | ||||
\(941\) | −14.1753 | − | 24.5524i | −0.462103 | − | 0.800385i | 0.536963 | − | 0.843606i | \(-0.319571\pi\) |
−0.999066 | + | 0.0432207i | \(0.986238\pi\) | |||||||
\(942\) | −2.12161 | + | 16.2185i | −0.0691257 | + | 0.528426i | ||||
\(943\) | −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 | \(0.181003\pi\) | |||||||
\(948\) | −2.29856 | + | 2.30614i | −0.0746536 | + | 0.0749001i | ||||
\(949\) | −13.5134 | + | 7.80194i | −0.438662 | + | 0.253262i | ||||
\(950\) | −3.33591 | + | 1.38500i | −0.108231 | + | 0.0449354i | ||||
\(951\) | −15.9210 | −0.516272 | ||||||||
\(952\) | 32.2900 | + | 17.2268i | 1.04652 | + | 0.558323i | ||||
\(953\) | −10.6334 | −0.344451 | −0.172225 | − | 0.985058i | \(-0.555096\pi\) | ||||
−0.172225 | + | 0.985058i | \(0.555096\pi\) | |||||||
\(954\) | 20.1470 | − | 8.36463i | 0.652284 | − | 0.270815i | ||||
\(955\) | 6.13554 | − | 3.54235i | 0.198541 | − | 0.114628i | ||||
\(956\) | −4.17821 | − | 4.16447i | −0.135133 | − | 0.134688i | ||||
\(957\) | −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 | ||||
\(962\) | 1.58250 | − | 12.0973i | 0.0510218 | − | 0.390032i | ||||
\(963\) | 9.49896 | + | 16.4527i | 0.306100 | + | 0.530180i | ||||
\(964\) | −0.474454 | + | 1.78243i | −0.0152811 | + | 0.0574082i | ||||
\(965\) | 19.0222 | 0.612345 | ||||||||
\(966\) | 7.83909 | − | 33.4894i | 0.252219 | − | 1.07750i | ||||
\(967\) | 7.65003i | 0.246008i | 0.992406 | + | 0.123004i | \(0.0392528\pi\) | ||||
−0.992406 | + | 0.123004i | \(0.960747\pi\) | |||||||
\(968\) | −12.2488 | + | 9.44702i | −0.393691 | + | 0.303639i | ||||
\(969\) | −11.3457 | + | 6.55046i | −0.364477 | + | 0.210431i | ||||
\(970\) | 2.45049 | − | 18.7325i | 0.0786804 | − | 0.601466i | ||||
\(971\) | 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 | ||||
\(976\) | −3.89304 | − | 2.23057i | −0.124613 | − | 0.0713989i | ||||
\(977\) | 2.12922 | + | 3.68791i | 0.0681197 | + | 0.117987i | 0.898074 | − | 0.439845i | \(-0.144967\pi\) |
−0.829954 | + | 0.557832i | \(0.811633\pi\) | |||||||
\(978\) | 17.4361 | − | 7.23910i | 0.557544 | − | 0.231481i | ||||
\(979\) | 26.0217i | 0.831658i | ||||||||
\(980\) | 11.6540 | − | 7.75789i | 0.372273 | − | 0.247817i | ||||
\(981\) | 9.15474i | 0.292288i | ||||||||
\(982\) | 2.12584 | + | 5.12029i | 0.0678382 | + | 0.163395i | ||||
\(983\) | 3.78011 | + | 6.54734i | 0.120567 | + | 0.208828i | 0.919991 | − | 0.391939i | \(-0.128195\pi\) |
−0.799425 | + | 0.600767i | \(0.794862\pi\) | |||||||
\(984\) | 1.25764 | + | 9.37365i | 0.0400922 | + | 0.298821i | ||||
\(985\) | −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 | ||||
\(990\) | −6.26577 | − | 0.819652i | −0.199139 | − | 0.0260503i | ||||
\(991\) | −36.3263 | + | 20.9730i | −1.15394 | + | 0.666229i | −0.949845 | − | 0.312722i | \(-0.898759\pi\) |
−0.204097 | + | 0.978951i | \(0.565426\pi\) | |||||||
\(992\) | 15.2025 | + | 11.5661i | 0.482680 | + | 0.367224i | ||||
\(993\) | 17.2655i | 0.547903i | ||||||||
\(994\) | 9.22510 | + | 2.15938i | 0.292602 | + | 0.0684915i | ||||
\(995\) | −6.76522 | −0.214472 | ||||||||
\(996\) | 9.07133 | + | 2.41464i | 0.287436 | + | 0.0765108i | ||||
\(997\) | −7.07310 | − | 12.2510i | −0.224007 | − | 0.387992i | 0.732014 | − | 0.681290i | \(-0.238581\pi\) |
−0.956021 | + | 0.293298i | \(0.905247\pi\) | |||||||
\(998\) | 16.0137 | + | 2.09483i | 0.506906 | + | 0.0663106i | ||||
\(999\) | 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.f.131.7 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.e.271.10 | 24 | |||
7.3 | odd | 6 | 280.2.bj.e.171.1 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.e.131.1 | ✓ | 24 | ||
8.5 | even | 2 | 1120.2.bz.f.271.10 | 24 | |||
28.3 | even | 6 | 1120.2.bz.f.591.10 | 24 | |||
56.3 | even | 6 | inner | 280.2.bj.f.171.7 | yes | 24 | |
56.45 | odd | 6 | 1120.2.bz.e.591.10 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.1 | ✓ | 24 | 8.3 | odd | 2 | ||
280.2.bj.e.171.1 | yes | 24 | 7.3 | odd | 6 | ||
280.2.bj.f.131.7 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.171.7 | yes | 24 | 56.3 | even | 6 | inner | |
1120.2.bz.e.271.10 | 24 | 4.3 | odd | 2 | |||
1120.2.bz.e.591.10 | 24 | 56.45 | odd | 6 | |||
1120.2.bz.f.271.10 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.591.10 | 24 | 28.3 | even | 6 |