Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(11,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 8, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bw (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 527.28 | ||
Character | \(\chi\) | \(=\) | 546.527 |
Dual form | 546.2.bw.a.431.28 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | −0.287995 | − | 1.70794i | −0.166274 | − | 0.986080i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −0.571804 | − | 2.13400i | −0.255718 | − | 0.954354i | −0.967689 | − | 0.252145i | \(-0.918864\pi\) |
0.711971 | − | 0.702209i | \(-0.247803\pi\) | |||||||
\(6\) | 0.163866 | − | 1.72428i | 0.0668979 | − | 0.703935i | ||||
\(7\) | −2.64337 | − | 0.112194i | −0.999100 | − | 0.0424054i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −2.83412 | + | 0.983756i | −0.944706 | + | 0.327919i | ||||
\(10\) | − | 2.20928i | − | 0.698636i | ||||||
\(11\) | −1.49302 | − | 1.49302i | −0.450164 | − | 0.450164i | 0.445245 | − | 0.895409i | \(-0.353117\pi\) |
−0.895409 | + | 0.445245i | \(0.853117\pi\) | |||||||
\(12\) | 0.604559 | − | 1.62312i | 0.174521 | − | 0.468553i | ||||
\(13\) | −3.42792 | − | 1.11774i | −0.950735 | − | 0.310006i | ||||
\(14\) | −2.52426 | − | 0.792526i | −0.674638 | − | 0.211812i | ||||
\(15\) | −3.48007 | + | 1.59119i | −0.898550 | + | 0.410843i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 2.09461 | − | 3.62798i | 0.508018 | − | 0.879914i | −0.491939 | − | 0.870630i | \(-0.663712\pi\) |
0.999957 | − | 0.00928370i | \(-0.00295514\pi\) | |||||||
\(18\) | −2.99216 | + | 0.216711i | −0.705259 | + | 0.0510794i | ||||
\(19\) | 0.337423 | + | 0.337423i | 0.0774102 | + | 0.0774102i | 0.744752 | − | 0.667342i | \(-0.232568\pi\) |
−0.667342 | + | 0.744752i | \(0.732568\pi\) | |||||||
\(20\) | 0.571804 | − | 2.13400i | 0.127859 | − | 0.477177i | ||||
\(21\) | 0.569656 | + | 4.54703i | 0.124309 | + | 0.992244i | ||||
\(22\) | −1.05573 | − | 1.82857i | −0.225082 | − | 0.389853i | ||||
\(23\) | 2.41507 | + | 4.18302i | 0.503577 | + | 0.872220i | 0.999991 | + | 0.00413478i | \(0.00131615\pi\) |
−0.496415 | + | 0.868085i | \(0.665351\pi\) | |||||||
\(24\) | 1.00405 | − | 1.41134i | 0.204951 | − | 0.288088i | ||||
\(25\) | 0.103127 | − | 0.0595401i | 0.0206253 | − | 0.0119080i | ||||
\(26\) | −3.02183 | − | 1.96687i | −0.592629 | − | 0.385734i | ||||
\(27\) | 2.49641 | + | 4.55719i | 0.480434 | + | 0.877031i | ||||
\(28\) | −2.23313 | − | 1.41885i | −0.422022 | − | 0.268137i | ||||
\(29\) | −0.814739 | − | 0.470390i | −0.151293 | − | 0.0873492i | 0.422442 | − | 0.906390i | \(-0.361173\pi\) |
−0.573735 | + | 0.819041i | \(0.694506\pi\) | |||||||
\(30\) | −3.77332 | + | 0.636261i | −0.688911 | + | 0.116165i | ||||
\(31\) | 1.14902 | − | 4.28819i | 0.206369 | − | 0.770181i | −0.782658 | − | 0.622452i | \(-0.786137\pi\) |
0.989028 | − | 0.147730i | \(-0.0471966\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −2.12001 | + | 2.97998i | −0.369047 | + | 0.518748i | ||||
\(34\) | 2.96223 | − | 2.96223i | 0.508018 | − | 0.508018i | ||||
\(35\) | 1.27207 | + | 5.70511i | 0.215019 | + | 0.964340i | ||||
\(36\) | −2.94630 | − | 0.565101i | −0.491049 | − | 0.0941836i | ||||
\(37\) | −8.78173 | − | 2.35306i | −1.44371 | − | 0.386840i | −0.549877 | − | 0.835245i | \(-0.685326\pi\) |
−0.893831 | + | 0.448405i | \(0.851992\pi\) | |||||||
\(38\) | 0.238594 | + | 0.413257i | 0.0387051 | + | 0.0670392i | ||||
\(39\) | −0.921812 | + | 6.17659i | −0.147608 | + | 0.989046i | ||||
\(40\) | 1.10464 | − | 1.91329i | 0.174659 | − | 0.302518i | ||||
\(41\) | −2.42880 | − | 9.06440i | −0.379315 | − | 1.41562i | −0.846937 | − | 0.531693i | \(-0.821556\pi\) |
0.467623 | − | 0.883928i | \(-0.345111\pi\) | |||||||
\(42\) | −0.626612 | + | 4.53953i | −0.0966884 | + | 0.700465i | ||||
\(43\) | 2.32396 | − | 1.34174i | 0.354401 | − | 0.204613i | −0.312221 | − | 0.950010i | \(-0.601073\pi\) |
0.666622 | + | 0.745396i | \(0.267740\pi\) | |||||||
\(44\) | −0.546485 | − | 2.03951i | −0.0823857 | − | 0.307467i | ||||
\(45\) | 3.71990 | + | 5.48550i | 0.554529 | + | 0.817729i | ||||
\(46\) | 1.25013 | + | 4.66555i | 0.184322 | + | 0.687898i | ||||
\(47\) | 4.06004 | − | 1.08788i | 0.592218 | − | 0.158684i | 0.0497512 | − | 0.998762i | \(-0.484157\pi\) |
0.542467 | + | 0.840077i | \(0.317490\pi\) | |||||||
\(48\) | 1.33512 | − | 1.10338i | 0.192708 | − | 0.159259i | ||||
\(49\) | 6.97482 | + | 0.593142i | 0.996404 | + | 0.0847345i | ||||
\(50\) | 0.115023 | − | 0.0308202i | 0.0162667 | − | 0.00435864i | ||||
\(51\) | −6.79960 | − | 2.53264i | −0.952135 | − | 0.354640i | ||||
\(52\) | −2.40980 | − | 2.68195i | −0.334179 | − | 0.371920i | ||||
\(53\) | 4.82321 | − | 2.78468i | 0.662518 | − | 0.382505i | −0.130718 | − | 0.991420i | \(-0.541728\pi\) |
0.793236 | + | 0.608915i | \(0.208395\pi\) | |||||||
\(54\) | 1.23186 | + | 5.04802i | 0.167635 | + | 0.686949i | ||||
\(55\) | −2.33240 | + | 4.03983i | −0.314500 | + | 0.544731i | ||||
\(56\) | −1.78981 | − | 1.94848i | −0.239174 | − | 0.260376i | ||||
\(57\) | 0.479123 | − | 0.673475i | 0.0634613 | − | 0.0892039i | ||||
\(58\) | −0.665231 | − | 0.665231i | −0.0873492 | − | 0.0873492i | ||||
\(59\) | 13.7931 | − | 3.69585i | 1.79571 | − | 0.481158i | 0.802412 | − | 0.596770i | \(-0.203550\pi\) |
0.993294 | + | 0.115612i | \(0.0368830\pi\) | |||||||
\(60\) | −3.80942 | − | 0.362025i | −0.491794 | − | 0.0467373i | ||||
\(61\) | −4.04297 | −0.517650 | −0.258825 | − | 0.965924i | \(-0.583335\pi\) | ||||
−0.258825 | + | 0.965924i | \(0.583335\pi\) | |||||||
\(62\) | 2.21973 | − | 3.84468i | 0.281906 | − | 0.488275i | ||||
\(63\) | 7.60200 | − | 2.28246i | 0.957762 | − | 0.287563i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −0.425162 | + | 7.95432i | −0.0527349 | + | 0.986612i | ||||
\(66\) | −2.81905 | + | 2.32974i | −0.347001 | + | 0.286771i | ||||
\(67\) | −6.00262 | − | 6.00262i | −0.733337 | − | 0.733337i | 0.237942 | − | 0.971279i | \(-0.423527\pi\) |
−0.971279 | + | 0.237942i | \(0.923527\pi\) | |||||||
\(68\) | 3.62798 | − | 2.09461i | 0.439957 | − | 0.254009i | ||||
\(69\) | 6.44882 | − | 5.32948i | 0.776347 | − | 0.641594i | ||||
\(70\) | −0.247868 | + | 5.83995i | −0.0296259 | + | 0.698007i | ||||
\(71\) | 5.98706 | + | 1.60423i | 0.710533 | + | 0.190387i | 0.595944 | − | 0.803026i | \(-0.296778\pi\) |
0.114589 | + | 0.993413i | \(0.463445\pi\) | |||||||
\(72\) | −2.69964 | − | 1.30840i | −0.318156 | − | 0.154197i | ||||
\(73\) | 6.72115 | + | 1.80093i | 0.786651 | + | 0.210782i | 0.629715 | − | 0.776826i | \(-0.283172\pi\) |
0.156936 | + | 0.987609i | \(0.449838\pi\) | |||||||
\(74\) | −7.87349 | − | 4.54576i | −0.915274 | − | 0.528434i | ||||
\(75\) | −0.131391 | − | 0.158987i | −0.0151717 | − | 0.0183582i | ||||
\(76\) | 0.123506 | + | 0.460929i | 0.0141671 | + | 0.0528722i | ||||
\(77\) | 3.77911 | + | 4.11413i | 0.430669 | + | 0.468848i | ||||
\(78\) | −2.48902 | + | 5.72755i | −0.281826 | + | 0.648517i | ||||
\(79\) | −1.77600 | + | 3.07612i | −0.199816 | + | 0.346091i | −0.948469 | − | 0.316871i | \(-0.897368\pi\) |
0.748653 | + | 0.662962i | \(0.230701\pi\) | |||||||
\(80\) | 1.56220 | − | 1.56220i | 0.174659 | − | 0.174659i | ||||
\(81\) | 7.06445 | − | 5.57616i | 0.784939 | − | 0.619573i | ||||
\(82\) | − | 9.38416i | − | 1.03631i | ||||||
\(83\) | −7.36931 | + | 7.36931i | −0.808887 | + | 0.808887i | −0.984465 | − | 0.175578i | \(-0.943820\pi\) |
0.175578 | + | 0.984465i | \(0.443820\pi\) | |||||||
\(84\) | −1.78018 | + | 4.22267i | −0.194233 | + | 0.460731i | ||||
\(85\) | −8.93981 | − | 2.39542i | −0.969659 | − | 0.259819i | ||||
\(86\) | 2.59204 | − | 0.694536i | 0.279507 | − | 0.0748937i | ||||
\(87\) | −0.568757 | + | 1.52699i | −0.0609771 | + | 0.163711i | ||||
\(88\) | − | 2.11145i | − | 0.225082i | ||||||
\(89\) | 4.08834 | − | 15.2579i | 0.433363 | − | 1.61733i | −0.311590 | − | 0.950217i | \(-0.600862\pi\) |
0.744953 | − | 0.667116i | \(-0.232472\pi\) | |||||||
\(90\) | 2.17339 | + | 6.26136i | 0.229096 | + | 0.660005i | ||||
\(91\) | 8.93587 | + | 3.33920i | 0.936734 | + | 0.350043i | ||||
\(92\) | 4.83014i | 0.503577i | ||||||||
\(93\) | −7.65488 | − | 0.727475i | −0.793774 | − | 0.0754357i | ||||
\(94\) | 4.20326 | 0.433534 | ||||||||
\(95\) | 0.527122 | − | 0.913002i | 0.0540815 | − | 0.0936720i | ||||
\(96\) | 1.57520 | − | 0.720229i | 0.160769 | − | 0.0735081i | ||||
\(97\) | −4.62372 | + | 17.2560i | −0.469468 | + | 1.75208i | 0.172168 | + | 0.985068i | \(0.444923\pi\) |
−0.641635 | + | 0.767010i | \(0.721744\pi\) | |||||||
\(98\) | 6.58365 | + | 2.37815i | 0.665049 | + | 0.240229i | ||||
\(99\) | 5.70018 | + | 2.76263i | 0.572889 | + | 0.277655i | ||||
\(100\) | 0.119080 | 0.0119080 | ||||||||
\(101\) | −8.14985 | −0.810940 | −0.405470 | − | 0.914108i | \(-0.632892\pi\) | ||||
−0.405470 | + | 0.914108i | \(0.632892\pi\) | |||||||
\(102\) | −5.91242 | − | 4.20621i | −0.585417 | − | 0.416476i | ||||
\(103\) | 10.9259 | + | 6.30805i | 1.07656 | + | 0.621551i | 0.929966 | − | 0.367646i | \(-0.119836\pi\) |
0.146592 | + | 0.989197i | \(0.453170\pi\) | |||||||
\(104\) | −1.63354 | − | 3.21427i | −0.160182 | − | 0.315185i | ||||
\(105\) | 9.37764 | − | 3.81566i | 0.915164 | − | 0.372370i | ||||
\(106\) | 5.37959 | − | 1.44146i | 0.522512 | − | 0.140007i | ||||
\(107\) | 0.474592 | − | 0.274006i | 0.0458806 | − | 0.0264892i | −0.476884 | − | 0.878966i | \(-0.658234\pi\) |
0.522765 | + | 0.852477i | \(0.324901\pi\) | |||||||
\(108\) | −0.116641 | + | 5.19484i | −0.0112238 | + | 0.499874i | ||||
\(109\) | −2.35063 | + | 8.77267i | −0.225150 | + | 0.840270i | 0.757195 | + | 0.653189i | \(0.226569\pi\) |
−0.982345 | + | 0.187081i | \(0.940097\pi\) | |||||||
\(110\) | −3.29851 | + | 3.29851i | −0.314500 | + | 0.314500i | ||||
\(111\) | −1.48979 | + | 15.6763i | −0.141404 | + | 1.48793i | ||||
\(112\) | −1.22452 | − | 2.34532i | −0.115707 | − | 0.221612i | ||||
\(113\) | −5.76556 | + | 3.32875i | −0.542378 | + | 0.313142i | −0.746042 | − | 0.665899i | \(-0.768048\pi\) |
0.203664 | + | 0.979041i | \(0.434715\pi\) | |||||||
\(114\) | 0.637105 | − | 0.526521i | 0.0596704 | − | 0.0493132i | ||||
\(115\) | 7.54563 | − | 7.54563i | 0.703633 | − | 0.703633i | ||||
\(116\) | −0.470390 | − | 0.814739i | −0.0436746 | − | 0.0756466i | ||||
\(117\) | 10.8147 | − | 0.204427i | 0.999821 | − | 0.0188993i | ||||
\(118\) | 14.2797 | 1.31455 | ||||||||
\(119\) | −5.94388 | + | 9.35509i | −0.544874 | + | 0.857579i | ||||
\(120\) | −3.58592 | − | 1.33564i | −0.327348 | − | 0.121927i | ||||
\(121\) | − | 6.54176i | − | 0.594705i | ||||||
\(122\) | −3.90521 | − | 1.04640i | −0.353561 | − | 0.0947365i | ||||
\(123\) | −14.7820 | + | 6.75874i | −1.33284 | + | 0.609415i | ||||
\(124\) | 3.13917 | − | 3.13917i | 0.281906 | − | 0.281906i | ||||
\(125\) | −7.99701 | − | 7.99701i | −0.715275 | − | 0.715275i | ||||
\(126\) | 7.93371 | − | 0.237146i | 0.706791 | − | 0.0211266i | ||||
\(127\) | 4.84622 | + | 2.79797i | 0.430033 | + | 0.248280i | 0.699361 | − | 0.714769i | \(-0.253468\pi\) |
−0.269328 | + | 0.963049i | \(0.586801\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −2.96090 | − | 3.58277i | −0.260693 | − | 0.315446i | ||||
\(130\) | −2.46940 | + | 7.57324i | −0.216581 | + | 0.664217i | ||||
\(131\) | 1.13235 | + | 0.653760i | 0.0989335 | + | 0.0571193i | 0.548650 | − | 0.836052i | \(-0.315142\pi\) |
−0.449717 | + | 0.893171i | \(0.648475\pi\) | |||||||
\(132\) | −3.32597 | + | 1.52073i | −0.289489 | + | 0.132363i | ||||
\(133\) | −0.854078 | − | 0.929792i | −0.0740580 | − | 0.0806232i | ||||
\(134\) | −4.24449 | − | 7.35168i | −0.366669 | − | 0.635089i | ||||
\(135\) | 8.29759 | − | 7.93315i | 0.714142 | − | 0.682777i | ||||
\(136\) | 4.04648 | − | 1.08425i | 0.346983 | − | 0.0929738i | ||||
\(137\) | 16.3692 | − | 4.38612i | 1.39852 | − | 0.374731i | 0.520705 | − | 0.853737i | \(-0.325669\pi\) |
0.877812 | + | 0.479005i | \(0.159003\pi\) | |||||||
\(138\) | 7.60845 | − | 3.47880i | 0.647675 | − | 0.296136i | ||||
\(139\) | 0.00803392 | + | 0.0139152i | 0.000681428 | + | 0.00118027i | 0.866366 | − | 0.499410i | \(-0.166450\pi\) |
−0.865684 | + | 0.500590i | \(0.833116\pi\) | |||||||
\(140\) | −1.75091 | + | 5.57680i | −0.147979 | + | 0.471326i | ||||
\(141\) | −3.02731 | − | 6.62100i | −0.254946 | − | 0.557589i | ||||
\(142\) | 5.36785 | + | 3.09913i | 0.450460 | + | 0.260073i | ||||
\(143\) | 3.44916 | + | 6.78679i | 0.288433 | + | 0.567539i | ||||
\(144\) | −2.26902 | − | 1.96254i | −0.189085 | − | 0.163545i | ||||
\(145\) | −0.537941 | + | 2.00762i | −0.0446736 | + | 0.166724i | ||||
\(146\) | 6.02601 | + | 3.47912i | 0.498716 | + | 0.287934i | ||||
\(147\) | −0.995663 | − | 12.0834i | −0.0821209 | − | 0.996622i | ||||
\(148\) | −6.42867 | − | 6.42867i | −0.528434 | − | 0.528434i | ||||
\(149\) | 7.35460 | − | 7.35460i | 0.602513 | − | 0.602513i | −0.338466 | − | 0.940979i | \(-0.609908\pi\) |
0.940979 | + | 0.338466i | \(0.109908\pi\) | |||||||
\(150\) | −0.0857650 | − | 0.187576i | −0.00700269 | − | 0.0153155i | ||||
\(151\) | 14.7620 | + | 3.95546i | 1.20131 | + | 0.321891i | 0.803348 | − | 0.595510i | \(-0.203050\pi\) |
0.397964 | + | 0.917401i | \(0.369717\pi\) | |||||||
\(152\) | 0.477189i | 0.0387051i | ||||||||
\(153\) | −2.36734 | + | 12.3427i | −0.191388 | + | 0.997848i | ||||
\(154\) | 2.58552 | + | 4.95204i | 0.208347 | + | 0.399047i | ||||
\(155\) | −9.80801 | −0.787798 | ||||||||
\(156\) | −3.88661 | + | 4.88818i | −0.311178 | + | 0.391367i | ||||
\(157\) | −10.4574 | − | 18.1128i | −0.834592 | − | 1.44556i | −0.894362 | − | 0.447343i | \(-0.852370\pi\) |
0.0597707 | − | 0.998212i | \(-0.480963\pi\) | |||||||
\(158\) | −2.51164 | + | 2.51164i | −0.199816 | + | 0.199816i | ||||
\(159\) | −6.14512 | − | 7.43577i | −0.487340 | − | 0.589695i | ||||
\(160\) | 1.91329 | − | 1.10464i | 0.151259 | − | 0.0873295i | ||||
\(161\) | −5.91461 | − | 11.3282i | −0.466137 | − | 0.892790i | ||||
\(162\) | 8.26695 | − | 3.55774i | 0.649513 | − | 0.279523i | ||||
\(163\) | −17.9535 | + | 17.9535i | −1.40623 | + | 1.40623i | −0.628075 | + | 0.778153i | \(0.716157\pi\) |
−0.778153 | + | 0.628075i | \(0.783843\pi\) | |||||||
\(164\) | 2.42880 | − | 9.06440i | 0.189657 | − | 0.707811i | ||||
\(165\) | 7.57151 | + | 2.82014i | 0.589441 | + | 0.219548i | ||||
\(166\) | −9.02553 | + | 5.21089i | −0.700517 | + | 0.404444i | ||||
\(167\) | −6.53289 | + | 1.75048i | −0.505530 | + | 0.135456i | −0.502565 | − | 0.864539i | \(-0.667610\pi\) |
−0.00296472 | + | 0.999996i | \(0.500944\pi\) | |||||||
\(168\) | −2.81243 | + | 3.61804i | −0.216984 | + | 0.279138i | ||||
\(169\) | 10.5013 | + | 7.66306i | 0.807793 | + | 0.589466i | ||||
\(170\) | −8.01522 | − | 4.62759i | −0.614739 | − | 0.354920i | ||||
\(171\) | −1.28824 | − | 0.624355i | −0.0985141 | − | 0.0477456i | ||||
\(172\) | 2.68348 | 0.204613 | ||||||||
\(173\) | −6.71395 | −0.510452 | −0.255226 | − | 0.966881i | \(-0.582150\pi\) | ||||
−0.255226 | + | 0.966881i | \(0.582150\pi\) | |||||||
\(174\) | −0.944592 | + | 1.32776i | −0.0716093 | + | 0.100657i | ||||
\(175\) | −0.279282 | + | 0.145816i | −0.0211117 | + | 0.0110227i | ||||
\(176\) | 0.546485 | − | 2.03951i | 0.0411928 | − | 0.153734i | ||||
\(177\) | −10.2846 | − | 22.4934i | −0.773039 | − | 1.69071i | ||||
\(178\) | 7.89806 | − | 13.6798i | 0.591985 | − | 1.02535i | ||||
\(179\) | −4.39615 | −0.328584 | −0.164292 | − | 0.986412i | \(-0.552534\pi\) | ||||
−0.164292 | + | 0.986412i | \(0.552534\pi\) | |||||||
\(180\) | 0.478776 | + | 6.61053i | 0.0356859 | + | 0.492720i | ||||
\(181\) | 26.8774i | 1.99778i | 0.0470732 | + | 0.998891i | \(0.485011\pi\) | ||||
−0.0470732 | + | 0.998891i | \(0.514989\pi\) | |||||||
\(182\) | 7.76714 | + | 5.53819i | 0.575739 | + | 0.410518i | ||||
\(183\) | 1.16436 | + | 6.90516i | 0.0860716 | + | 0.510444i | ||||
\(184\) | −1.25013 | + | 4.66555i | −0.0921609 | + | 0.343949i | ||||
\(185\) | 20.0857i | 1.47673i | ||||||||
\(186\) | −7.20576 | − | 2.68392i | −0.528352 | − | 0.196794i | ||||
\(187\) | −8.54396 | + | 2.28935i | −0.624797 | + | 0.167414i | ||||
\(188\) | 4.06004 | + | 1.08788i | 0.296109 | + | 0.0793421i | ||||
\(189\) | −6.08764 | − | 12.3264i | −0.442811 | − | 0.896615i | ||||
\(190\) | 0.745463 | − | 0.745463i | 0.0540815 | − | 0.0540815i | ||||
\(191\) | 4.81472i | 0.348381i | 0.984712 | + | 0.174191i | \(0.0557309\pi\) | ||||
−0.984712 | + | 0.174191i | \(0.944269\pi\) | |||||||
\(192\) | 1.70794 | − | 0.287995i | 0.123260 | − | 0.0207842i | ||||
\(193\) | −0.594684 | + | 0.594684i | −0.0428063 | + | 0.0428063i | −0.728186 | − | 0.685380i | \(-0.759636\pi\) |
0.685380 | + | 0.728186i | \(0.259636\pi\) | |||||||
\(194\) | −8.93234 | + | 15.4713i | −0.641305 | + | 1.11077i | ||||
\(195\) | 13.7079 | − | 1.56465i | 0.981646 | − | 0.112047i | ||||
\(196\) | 5.74380 | + | 4.00109i | 0.410272 | + | 0.285792i | ||||
\(197\) | −3.67600 | − | 13.7190i | −0.261904 | − | 0.977440i | −0.964118 | − | 0.265474i | \(-0.914472\pi\) |
0.702214 | − | 0.711966i | \(-0.252195\pi\) | |||||||
\(198\) | 4.79093 | + | 4.14381i | 0.340476 | + | 0.294488i | ||||
\(199\) | 6.18891 | + | 3.57317i | 0.438720 | + | 0.253295i | 0.703055 | − | 0.711136i | \(-0.251819\pi\) |
−0.264334 | + | 0.964431i | \(0.585152\pi\) | |||||||
\(200\) | 0.115023 | + | 0.0308202i | 0.00813333 | + | 0.00217932i | ||||
\(201\) | −8.52339 | + | 11.9808i | −0.601194 | + | 0.845064i | ||||
\(202\) | −7.87215 | − | 2.10934i | −0.553883 | − | 0.148412i | ||||
\(203\) | 2.10088 | + | 1.33482i | 0.147453 | + | 0.0936862i | ||||
\(204\) | −4.62231 | − | 5.59313i | −0.323627 | − | 0.391597i | ||||
\(205\) | −17.9546 | + | 10.3661i | −1.25401 | + | 0.724001i | ||||
\(206\) | 8.92093 | + | 8.92093i | 0.621551 | + | 0.621551i | ||||
\(207\) | −10.9597 | − | 9.47934i | −0.761749 | − | 0.658859i | ||||
\(208\) | −0.745969 | − | 3.52754i | −0.0517236 | − | 0.244591i | ||||
\(209\) | − | 1.00756i | − | 0.0696945i | ||||||
\(210\) | 10.0457 | − | 1.25853i | 0.693217 | − | 0.0868469i | ||||
\(211\) | 6.91083 | − | 11.9699i | 0.475761 | − | 0.824042i | −0.523854 | − | 0.851808i | \(-0.675506\pi\) |
0.999614 | + | 0.0277663i | \(0.00883942\pi\) | |||||||
\(212\) | 5.56936 | 0.382505 | ||||||||
\(213\) | 1.01568 | − | 10.6875i | 0.0695934 | − | 0.732299i | ||||
\(214\) | 0.529339 | − | 0.141836i | 0.0361849 | − | 0.00969571i | ||||
\(215\) | −4.19213 | − | 4.19213i | −0.285901 | − | 0.285901i | ||||
\(216\) | −1.45719 | + | 4.98764i | −0.0991493 | + | 0.339366i | ||||
\(217\) | −3.51839 | + | 11.2064i | −0.238844 | + | 0.760737i | ||||
\(218\) | −4.54107 | + | 7.86536i | −0.307560 | + | 0.532710i | ||||
\(219\) | 1.14022 | − | 11.9980i | 0.0770488 | − | 0.810748i | ||||
\(220\) | −4.03983 | + | 2.33240i | −0.272365 | + | 0.157250i | ||||
\(221\) | −11.2353 | + | 10.0952i | −0.755769 | + | 0.679076i | ||||
\(222\) | −5.49636 | + | 14.7566i | −0.368892 | + | 0.990398i | ||||
\(223\) | −4.03794 | + | 1.08196i | −0.270401 | + | 0.0724536i | −0.391471 | − | 0.920190i | \(-0.628034\pi\) |
0.121071 | + | 0.992644i | \(0.461367\pi\) | |||||||
\(224\) | −0.575784 | − | 2.58234i | −0.0384712 | − | 0.172540i | ||||
\(225\) | −0.233700 | + | 0.270195i | −0.0155800 | + | 0.0180130i | ||||
\(226\) | −6.43065 | + | 1.72309i | −0.427760 | + | 0.114618i | ||||
\(227\) | −2.92533 | − | 10.9175i | −0.194161 | − | 0.724619i | −0.992482 | − | 0.122387i | \(-0.960945\pi\) |
0.798321 | − | 0.602232i | \(-0.205722\pi\) | |||||||
\(228\) | 0.751670 | − | 0.343685i | 0.0497805 | − | 0.0227611i | ||||
\(229\) | −0.512008 | − | 1.91084i | −0.0338344 | − | 0.126272i | 0.946943 | − | 0.321401i | \(-0.104154\pi\) |
−0.980777 | + | 0.195130i | \(0.937487\pi\) | |||||||
\(230\) | 9.24147 | − | 5.33556i | 0.609364 | − | 0.351817i | ||||
\(231\) | 5.93832 | − | 7.63934i | 0.390712 | − | 0.502631i | ||||
\(232\) | −0.243492 | − | 0.908723i | −0.0159860 | − | 0.0596606i | ||||
\(233\) | 8.36770 | − | 14.4933i | 0.548187 | − | 0.949487i | −0.450212 | − | 0.892922i | \(-0.648652\pi\) |
0.998399 | − | 0.0565654i | \(-0.0180150\pi\) | |||||||
\(234\) | 10.4991 | + | 2.60159i | 0.686350 | + | 0.170072i | ||||
\(235\) | −4.64309 | − | 8.04207i | −0.302882 | − | 0.524607i | ||||
\(236\) | 13.7931 | + | 3.69585i | 0.897853 | + | 0.240579i | ||||
\(237\) | 5.76531 | + | 2.14739i | 0.374497 | + | 0.139488i | ||||
\(238\) | −8.16262 | + | 7.49793i | −0.529104 | + | 0.486019i | ||||
\(239\) | 10.8665 | − | 10.8665i | 0.702893 | − | 0.702893i | −0.262138 | − | 0.965030i | \(-0.584428\pi\) |
0.965030 | + | 0.262138i | \(0.0844275\pi\) | |||||||
\(240\) | −3.11804 | − | 2.21823i | −0.201269 | − | 0.143186i | ||||
\(241\) | −7.04677 | − | 26.2989i | −0.453922 | − | 1.69406i | −0.691237 | − | 0.722628i | \(-0.742934\pi\) |
0.237315 | − | 0.971433i | \(-0.423733\pi\) | |||||||
\(242\) | 1.69313 | − | 6.31885i | 0.108839 | − | 0.406191i | ||||
\(243\) | −11.5583 | − | 10.4597i | −0.741463 | − | 0.670993i | ||||
\(244\) | −3.50132 | − | 2.02149i | −0.224149 | − | 0.129412i | ||||
\(245\) | −2.72247 | − | 15.2234i | −0.173932 | − | 0.972590i | ||||
\(246\) | −16.0276 | + | 2.70259i | −1.02188 | + | 0.172311i | ||||
\(247\) | −0.779509 | − | 1.53381i | −0.0495990 | − | 0.0975942i | ||||
\(248\) | 3.84468 | − | 2.21973i | 0.244138 | − | 0.140953i | ||||
\(249\) | 14.7087 | + | 10.4640i | 0.932124 | + | 0.663130i | ||||
\(250\) | −5.65474 | − | 9.79430i | −0.357637 | − | 0.619446i | ||||
\(251\) | 9.46986 | + | 16.4023i | 0.597732 | + | 1.03530i | 0.993155 | + | 0.116804i | \(0.0372648\pi\) |
−0.395423 | + | 0.918499i | \(0.629402\pi\) | |||||||
\(252\) | 7.72475 | + | 1.82433i | 0.486614 | + | 0.114922i | ||||
\(253\) | 2.63960 | − | 9.85110i | 0.165950 | − | 0.619334i | ||||
\(254\) | 3.95693 | + | 3.95693i | 0.248280 | + | 0.248280i | ||||
\(255\) | −1.51661 | + | 15.9585i | −0.0949736 | + | 0.999362i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −7.29961 | − | 12.6433i | −0.455337 | − | 0.788667i | 0.543370 | − | 0.839493i | \(-0.317148\pi\) |
−0.998708 | + | 0.0508258i | \(0.983815\pi\) | |||||||
\(258\) | −1.93272 | − | 4.22703i | −0.120326 | − | 0.263163i | ||||
\(259\) | 22.9494 | + | 7.20527i | 1.42601 | + | 0.447713i | ||||
\(260\) | −4.34536 | + | 6.67606i | −0.269488 | + | 0.414032i | ||||
\(261\) | 2.77181 | + | 0.531636i | 0.171571 | + | 0.0329074i | ||||
\(262\) | 0.924557 | + | 0.924557i | 0.0571193 | + | 0.0571193i | ||||
\(263\) | 17.5577i | 1.08265i | 0.840813 | + | 0.541326i | \(0.182078\pi\) | ||||
−0.840813 | + | 0.541326i | \(0.817922\pi\) | |||||||
\(264\) | −3.60624 | + | 0.608088i | −0.221949 | + | 0.0374252i | ||||
\(265\) | −8.70044 | − | 8.70044i | −0.534464 | − | 0.534464i | ||||
\(266\) | −0.584328 | − | 1.11916i | −0.0358275 | − | 0.0686202i | ||||
\(267\) | −27.2370 | − | 2.58844i | −1.66688 | − | 0.158410i | ||||
\(268\) | −2.19711 | − | 8.19973i | −0.134210 | − | 0.500879i | ||||
\(269\) | 10.1402 | + | 5.85445i | 0.618260 | + | 0.356952i | 0.776191 | − | 0.630498i | \(-0.217149\pi\) |
−0.157932 | + | 0.987450i | \(0.550483\pi\) | |||||||
\(270\) | 10.0681 | − | 5.51526i | 0.612725 | − | 0.335648i | ||||
\(271\) | −13.0026 | − | 3.48405i | −0.789854 | − | 0.211641i | −0.158729 | − | 0.987322i | \(-0.550740\pi\) |
−0.631125 | + | 0.775681i | \(0.717406\pi\) | |||||||
\(272\) | 4.18923 | 0.254009 | ||||||||
\(273\) | 3.12967 | − | 16.2236i | 0.189416 | − | 0.981897i | ||||
\(274\) | 16.9467 | 1.02379 | ||||||||
\(275\) | −0.242865 | − | 0.0650755i | −0.0146453 | − | 0.00392420i | ||||
\(276\) | 8.24958 | − | 1.39105i | 0.496567 | − | 0.0837316i | ||||
\(277\) | 2.59276 | + | 1.49693i | 0.155784 | + | 0.0899418i | 0.575865 | − | 0.817545i | \(-0.304665\pi\) |
−0.420082 | + | 0.907486i | \(0.637999\pi\) | |||||||
\(278\) | 0.00415866 | + | 0.0155203i | 0.000249420 | + | 0.000930849i | ||||
\(279\) | 0.962082 | + | 13.2836i | 0.0575983 | + | 0.795267i | ||||
\(280\) | −3.13463 | + | 4.93361i | −0.187330 | + | 0.294840i | ||||
\(281\) | −7.79421 | − | 7.79421i | −0.464964 | − | 0.464964i | 0.435315 | − | 0.900278i | \(-0.356637\pi\) |
−0.900278 | + | 0.435315i | \(0.856637\pi\) | |||||||
\(282\) | −1.21052 | − | 7.17892i | −0.0720853 | − | 0.427499i | ||||
\(283\) | 5.58090i | 0.331750i | 0.986147 | + | 0.165875i | \(0.0530449\pi\) | ||||
−0.986147 | + | 0.165875i | \(0.946955\pi\) | |||||||
\(284\) | 4.38283 | + | 4.38283i | 0.260073 | + | 0.260073i | ||||
\(285\) | −1.71116 | − | 0.637352i | −0.101360 | − | 0.0377535i | ||||
\(286\) | 1.57508 | + | 7.44824i | 0.0931364 | + | 0.440424i | ||||
\(287\) | 5.40324 | + | 24.2331i | 0.318943 | + | 1.43043i | ||||
\(288\) | −1.68376 | − | 2.48293i | −0.0992164 | − | 0.146308i | ||||
\(289\) | −0.274811 | − | 0.475986i | −0.0161653 | − | 0.0279992i | ||||
\(290\) | −1.03922 | + | 1.79999i | −0.0610253 | + | 0.105699i | ||||
\(291\) | 30.8038 | + | 2.92741i | 1.80575 | + | 0.171608i | ||||
\(292\) | 4.92022 | + | 4.92022i | 0.287934 | + | 0.287934i | ||||
\(293\) | 4.48295 | − | 16.7306i | 0.261897 | − | 0.977412i | −0.702226 | − | 0.711955i | \(-0.747810\pi\) |
0.964122 | − | 0.265458i | \(-0.0855231\pi\) | |||||||
\(294\) | 2.16568 | − | 11.9294i | 0.126305 | − | 0.695735i | ||||
\(295\) | −15.7739 | − | 27.3212i | −0.918391 | − | 1.59070i | ||||
\(296\) | −4.54576 | − | 7.87349i | −0.264217 | − | 0.457637i | ||||
\(297\) | 3.07679 | − | 10.5312i | 0.178534 | − | 0.611081i | ||||
\(298\) | 9.00751 | − | 5.20049i | 0.521791 | − | 0.301256i | ||||
\(299\) | −3.60313 | − | 17.0385i | −0.208374 | − | 0.985362i | ||||
\(300\) | −0.0342945 | − | 0.203382i | −0.00197999 | − | 0.0117423i | ||||
\(301\) | −6.29363 | + | 3.28598i | −0.362759 | + | 0.189401i | ||||
\(302\) | 13.2352 | + | 7.64136i | 0.761601 | + | 0.439711i | ||||
\(303\) | 2.34712 | + | 13.9195i | 0.134838 | + | 0.799652i | ||||
\(304\) | −0.123506 | + | 0.460929i | −0.00708353 | + | 0.0264361i | ||||
\(305\) | 2.31179 | + | 8.62771i | 0.132373 | + | 0.494021i | ||||
\(306\) | −5.48120 | + | 11.3094i | −0.313339 | + | 0.646517i | ||||
\(307\) | 4.71257 | − | 4.71257i | 0.268961 | − | 0.268961i | −0.559721 | − | 0.828681i | \(-0.689092\pi\) |
0.828681 | + | 0.559721i | \(0.189092\pi\) | |||||||
\(308\) | 1.21574 | + | 5.45249i | 0.0692733 | + | 0.310685i | ||||
\(309\) | 7.62718 | − | 20.4774i | 0.433895 | − | 1.16492i | ||||
\(310\) | −9.47381 | − | 2.53850i | −0.538076 | − | 0.144177i | ||||
\(311\) | −8.67825 | − | 15.0312i | −0.492098 | − | 0.852339i | 0.507860 | − | 0.861440i | \(-0.330437\pi\) |
−0.999959 | + | 0.00910006i | \(0.997103\pi\) | |||||||
\(312\) | −5.01933 | + | 3.71569i | −0.284163 | + | 0.210359i | ||||
\(313\) | −0.700926 | + | 1.21404i | −0.0396187 | + | 0.0686215i | −0.885155 | − | 0.465297i | \(-0.845948\pi\) |
0.845536 | + | 0.533918i | \(0.179281\pi\) | |||||||
\(314\) | −5.41315 | − | 20.2022i | −0.305482 | − | 1.14007i | ||||
\(315\) | −9.21762 | − | 14.9176i | −0.519354 | − | 0.840509i | ||||
\(316\) | −3.07612 | + | 1.77600i | −0.173045 | + | 0.0999078i | ||||
\(317\) | 6.62944 | + | 24.7414i | 0.372346 | + | 1.38962i | 0.857184 | + | 0.515011i | \(0.172212\pi\) |
−0.484837 | + | 0.874604i | \(0.661121\pi\) | |||||||
\(318\) | −4.01121 | − | 8.77288i | −0.224938 | − | 0.491959i | ||||
\(319\) | 0.514121 | + | 1.91873i | 0.0287853 | + | 0.107428i | ||||
\(320\) | 2.13400 | − | 0.571804i | 0.119294 | − | 0.0319648i | ||||
\(321\) | −0.604666 | − | 0.731663i | −0.0337492 | − | 0.0408374i | ||||
\(322\) | −2.78111 | − | 12.4730i | −0.154985 | − | 0.695096i | ||||
\(323\) | 1.93094 | − | 0.517393i | 0.107440 | − | 0.0287885i | ||||
\(324\) | 8.90607 | − | 1.29687i | 0.494782 | − | 0.0720484i | ||||
\(325\) | −0.420060 | + | 0.0888301i | −0.0233007 | + | 0.00492741i | ||||
\(326\) | −21.9885 | + | 12.6951i | −1.21783 | + | 0.703114i | ||||
\(327\) | 15.6602 | + | 1.48825i | 0.866009 | + | 0.0823005i | ||||
\(328\) | 4.69208 | − | 8.12692i | 0.259077 | − | 0.448734i | ||||
\(329\) | −10.8542 | + | 2.42017i | −0.598414 | + | 0.133428i | ||||
\(330\) | 6.58361 | + | 4.68370i | 0.362416 | + | 0.257829i | ||||
\(331\) | −3.18618 | − | 3.18618i | −0.175128 | − | 0.175128i | 0.614100 | − | 0.789228i | \(-0.289519\pi\) |
−0.789228 | + | 0.614100i | \(0.789519\pi\) | |||||||
\(332\) | −10.0667 | + | 2.69736i | −0.552480 | + | 0.148037i | ||||
\(333\) | 27.2033 | − | 1.97024i | 1.49073 | − | 0.107968i | ||||
\(334\) | −6.76334 | −0.370074 | ||||||||
\(335\) | −9.37728 | + | 16.2419i | −0.512336 | + | 0.887391i | ||||
\(336\) | −3.65302 | + | 2.76685i | −0.199288 | + | 0.150944i | ||||
\(337\) | 34.7055i | 1.89053i | 0.326303 | + | 0.945265i | \(0.394197\pi\) | ||||
−0.326303 | + | 0.945265i | \(0.605803\pi\) | |||||||
\(338\) | 8.16014 | + | 10.1199i | 0.443853 | + | 0.550449i | ||||
\(339\) | 7.34576 | + | 8.88857i | 0.398967 | + | 0.482761i | ||||
\(340\) | −6.54440 | − | 6.54440i | −0.354920 | − | 0.354920i | ||||
\(341\) | −8.11787 | + | 4.68686i | −0.439608 | + | 0.253808i | ||||
\(342\) | −1.08275 | − | 0.936502i | −0.0585484 | − | 0.0506402i | ||||
\(343\) | −18.3705 | − | 2.35043i | −0.991914 | − | 0.126911i | ||||
\(344\) | 2.59204 | + | 0.694536i | 0.139754 | + | 0.0374469i | ||||
\(345\) | −15.0606 | − | 10.7144i | −0.810834 | − | 0.576843i | ||||
\(346\) | −6.48518 | − | 1.73770i | −0.348645 | − | 0.0934192i | ||||
\(347\) | −13.7162 | − | 7.91904i | −0.736323 | − | 0.425116i | 0.0844080 | − | 0.996431i | \(-0.473100\pi\) |
−0.820731 | + | 0.571315i | \(0.806433\pi\) | |||||||
\(348\) | −1.25606 | + | 1.03804i | −0.0673316 | + | 0.0556447i | ||||
\(349\) | −7.94079 | − | 29.6354i | −0.425061 | − | 1.58635i | −0.763790 | − | 0.645465i | \(-0.776664\pi\) |
0.338729 | − | 0.940884i | \(-0.390003\pi\) | |||||||
\(350\) | −0.307505 | + | 0.0685644i | −0.0164369 | + | 0.00366492i | ||||
\(351\) | −3.46373 | − | 18.4120i | −0.184880 | − | 0.982761i | ||||
\(352\) | 1.05573 | − | 1.82857i | 0.0562705 | − | 0.0974633i | ||||
\(353\) | −7.76783 | + | 7.76783i | −0.413440 | + | 0.413440i | −0.882935 | − | 0.469495i | \(-0.844436\pi\) |
0.469495 | + | 0.882935i | \(0.344436\pi\) | |||||||
\(354\) | −4.11247 | − | 24.3888i | −0.218575 | − | 1.29625i | ||||
\(355\) | − | 13.6937i | − | 0.726786i | ||||||
\(356\) | 11.1696 | − | 11.1696i | 0.591985 | − | 0.591985i | ||||
\(357\) | 17.6897 | + | 7.45757i | 0.936240 | + | 0.394697i | ||||
\(358\) | −4.24635 | − | 1.13781i | −0.224427 | − | 0.0601350i | ||||
\(359\) | 3.14697 | − | 0.843227i | 0.166091 | − | 0.0445038i | −0.174815 | − | 0.984601i | \(-0.555933\pi\) |
0.340906 | + | 0.940097i | \(0.389266\pi\) | |||||||
\(360\) | −1.24847 | + | 6.50919i | −0.0658000 | + | 0.343065i | ||||
\(361\) | − | 18.7723i | − | 0.988015i | ||||||
\(362\) | −6.95639 | + | 25.9616i | −0.365620 | + | 1.36451i | ||||
\(363\) | −11.1729 | + | 1.88399i | −0.586427 | + | 0.0988840i | ||||
\(364\) | 6.06909 | + | 7.35977i | 0.318107 | + | 0.385757i | ||||
\(365\) | − | 15.3727i | − | 0.804644i | ||||||
\(366\) | −0.662505 | + | 6.97123i | −0.0346297 | + | 0.364392i | ||||
\(367\) | −20.6079 | −1.07573 | −0.537863 | − | 0.843032i | \(-0.680768\pi\) | ||||
−0.537863 | + | 0.843032i | \(0.680768\pi\) | |||||||
\(368\) | −2.41507 | + | 4.18302i | −0.125894 | + | 0.218055i | ||||
\(369\) | 15.8007 | + | 23.3002i | 0.822549 | + | 1.21296i | ||||
\(370\) | −5.19857 | + | 19.4013i | −0.270261 | + | 1.00863i | ||||
\(371\) | −13.0619 | + | 6.81981i | −0.678143 | + | 0.354067i | ||||
\(372\) | −6.26558 | − | 4.45745i | −0.324855 | − | 0.231108i | ||||
\(373\) | 1.41011 | 0.0730125 | 0.0365063 | − | 0.999333i | \(-0.488377\pi\) | ||||
0.0365063 | + | 0.999333i | \(0.488377\pi\) | |||||||
\(374\) | −8.84536 | −0.457383 | ||||||||
\(375\) | −11.3553 | + | 15.9615i | −0.586386 | + | 0.824249i | ||||
\(376\) | 3.64013 | + | 2.10163i | 0.187726 | + | 0.108383i | ||||
\(377\) | 2.26709 | + | 2.52313i | 0.116761 | + | 0.129948i | ||||
\(378\) | −2.68990 | − | 13.4820i | −0.138353 | − | 0.693439i | ||||
\(379\) | −15.7641 | + | 4.22399i | −0.809749 | + | 0.216972i | −0.639860 | − | 0.768492i | \(-0.721008\pi\) |
−0.169889 | + | 0.985463i | \(0.554341\pi\) | |||||||
\(380\) | 0.913002 | − | 0.527122i | 0.0468360 | − | 0.0270408i | ||||
\(381\) | 3.38308 | − | 9.08286i | 0.173320 | − | 0.465329i | ||||
\(382\) | −1.24614 | + | 4.65067i | −0.0637582 | + | 0.237949i | ||||
\(383\) | −17.5749 | + | 17.5749i | −0.898038 | + | 0.898038i | −0.995262 | − | 0.0972248i | \(-0.969003\pi\) |
0.0972248 | + | 0.995262i | \(0.469003\pi\) | |||||||
\(384\) | 1.72428 | + | 0.163866i | 0.0879919 | + | 0.00836224i | ||||
\(385\) | 6.61864 | − | 10.4171i | 0.337317 | − | 0.530904i | ||||
\(386\) | −0.728336 | + | 0.420505i | −0.0370713 | + | 0.0214032i | ||||
\(387\) | −5.26644 | + | 6.08886i | −0.267708 | + | 0.309514i | ||||
\(388\) | −12.6322 | + | 12.6322i | −0.641305 | + | 0.641305i | ||||
\(389\) | 5.33488 | + | 9.24029i | 0.270489 | + | 0.468501i | 0.968987 | − | 0.247111i | \(-0.0794812\pi\) |
−0.698498 | + | 0.715612i | \(0.746148\pi\) | |||||||
\(390\) | 13.6458 | + | 2.03654i | 0.690983 | + | 0.103124i | ||||
\(391\) | 20.2345 | 1.02330 | ||||||||
\(392\) | 4.51253 | + | 5.35136i | 0.227917 | + | 0.270285i | ||||
\(393\) | 0.790474 | − | 2.12226i | 0.0398741 | − | 0.107054i | ||||
\(394\) | − | 14.2030i | − | 0.715536i | ||||||
\(395\) | 7.57997 | + | 2.03105i | 0.381390 | + | 0.102193i | ||||
\(396\) | 3.55518 | + | 5.24260i | 0.178655 | + | 0.263451i | ||||
\(397\) | 14.0420 | − | 14.0420i | 0.704746 | − | 0.704746i | −0.260679 | − | 0.965425i | \(-0.583947\pi\) |
0.965425 | + | 0.260679i | \(0.0839465\pi\) | |||||||
\(398\) | 5.05322 | + | 5.05322i | 0.253295 | + | 0.253295i | ||||
\(399\) | −1.34206 | + | 1.72649i | −0.0671870 | + | 0.0864326i | ||||
\(400\) | 0.103127 | + | 0.0595401i | 0.00515633 | + | 0.00297701i | ||||
\(401\) | −1.90657 | + | 7.11542i | −0.0952096 | + | 0.355327i | −0.997051 | − | 0.0767398i | \(-0.975549\pi\) |
0.901842 | + | 0.432067i | \(0.142216\pi\) | |||||||
\(402\) | −11.3338 | + | 9.36659i | −0.565280 | + | 0.467163i | ||||
\(403\) | −8.73182 | + | 13.4153i | −0.434963 | + | 0.668262i | ||||
\(404\) | −7.05798 | − | 4.07493i | −0.351148 | − | 0.202735i | ||||
\(405\) | −15.9390 | − | 11.8871i | −0.792016 | − | 0.590673i | ||||
\(406\) | 1.68382 | + | 1.83309i | 0.0835665 | + | 0.0909747i | ||||
\(407\) | 9.59816 | + | 16.6245i | 0.475763 | + | 0.824046i | ||||
\(408\) | −3.01720 | − | 6.59889i | −0.149374 | − | 0.326694i | ||||
\(409\) | 38.9605 | − | 10.4394i | 1.92647 | − | 0.516196i | 0.943933 | − | 0.330137i | \(-0.107095\pi\) |
0.982538 | − | 0.186060i | \(-0.0595717\pi\) | |||||||
\(410\) | −20.0258 | + | 5.36590i | −0.989004 | + | 0.265003i | ||||
\(411\) | −12.2055 | − | 26.6945i | −0.602052 | − | 1.31674i | ||||
\(412\) | 6.30805 | + | 10.9259i | 0.310775 | + | 0.538279i | ||||
\(413\) | −36.8749 | + | 8.22199i | −1.81450 | + | 0.404578i | ||||
\(414\) | −8.13279 | − | 11.9929i | −0.399705 | − | 0.589419i | ||||
\(415\) | 19.9399 | + | 11.5123i | 0.978812 | + | 0.565117i | ||||
\(416\) | 0.192444 | − | 3.60041i | 0.00943534 | − | 0.176525i | ||||
\(417\) | 0.0214525 | − | 0.0177290i | 0.00105054 | − | 0.000868191i | ||||
\(418\) | 0.260776 | − | 0.973230i | 0.0127550 | − | 0.0476022i | ||||
\(419\) | 13.8736 | + | 8.00994i | 0.677771 | + | 0.391311i | 0.799015 | − | 0.601312i | \(-0.205355\pi\) |
−0.121244 | + | 0.992623i | \(0.538688\pi\) | |||||||
\(420\) | 10.0291 | + | 1.38436i | 0.489370 | + | 0.0675500i | ||||
\(421\) | 14.1022 | + | 14.1022i | 0.687301 | + | 0.687301i | 0.961635 | − | 0.274334i | \(-0.0884573\pi\) |
−0.274334 | + | 0.961635i | \(0.588457\pi\) | |||||||
\(422\) | 9.77338 | − | 9.77338i | 0.475761 | − | 0.475761i | ||||
\(423\) | −10.4364 | + | 7.07728i | −0.507436 | + | 0.344109i | ||||
\(424\) | 5.37959 | + | 1.44146i | 0.261256 | + | 0.0700033i | ||||
\(425\) | − | 0.498854i | − | 0.0241980i | ||||||
\(426\) | 3.74721 | − | 10.0605i | 0.181553 | − | 0.487433i | ||||
\(427\) | 10.6871 | + | 0.453598i | 0.517184 | + | 0.0219511i | ||||
\(428\) | 0.548012 | 0.0264892 | ||||||||
\(429\) | 10.5981 | − | 7.84551i | 0.511680 | − | 0.378785i | ||||
\(430\) | −2.96428 | − | 5.13428i | −0.142950 | − | 0.247597i | ||||
\(431\) | −22.4057 | + | 22.4057i | −1.07924 | + | 1.07924i | −0.0826660 | + | 0.996577i | \(0.526343\pi\) |
−0.996577 | + | 0.0826660i | \(0.973657\pi\) | |||||||
\(432\) | −2.69844 | + | 4.44055i | −0.129829 | + | 0.213646i | ||||
\(433\) | 23.8503 | − | 13.7700i | 1.14617 | − | 0.661744i | 0.198222 | − | 0.980157i | \(-0.436483\pi\) |
0.947952 | + | 0.318414i | \(0.103150\pi\) | |||||||
\(434\) | −6.29892 | + | 9.91389i | −0.302358 | + | 0.475882i | ||||
\(435\) | 3.58383 | + | 0.340586i | 0.171831 | + | 0.0163298i | ||||
\(436\) | −6.42204 | + | 6.42204i | −0.307560 | + | 0.307560i | ||||
\(437\) | −0.596548 | + | 2.22635i | −0.0285368 | + | 0.106501i | ||||
\(438\) | 4.20667 | − | 11.2940i | 0.201002 | − | 0.539650i | ||||
\(439\) | −1.60920 | + | 0.929070i | −0.0768028 | + | 0.0443421i | −0.537910 | − | 0.843003i | \(-0.680786\pi\) |
0.461107 | + | 0.887345i | \(0.347452\pi\) | |||||||
\(440\) | −4.50585 | + | 1.20734i | −0.214808 | + | 0.0575576i | ||||
\(441\) | −20.3510 | + | 5.18049i | −0.969094 | + | 0.246690i | ||||
\(442\) | −13.4653 | + | 6.84329i | −0.640479 | + | 0.325502i | ||||
\(443\) | 27.1823 | + | 15.6937i | 1.29147 | + | 0.745631i | 0.978915 | − | 0.204269i | \(-0.0654817\pi\) |
0.312555 | + | 0.949900i | \(0.398815\pi\) | |||||||
\(444\) | −9.12837 | + | 12.8312i | −0.433213 | + | 0.608943i | ||||
\(445\) | −34.8981 | −1.65433 | ||||||||
\(446\) | −4.18039 | −0.197947 | ||||||||
\(447\) | −14.6793 | − | 10.4431i | −0.694307 | − | 0.493943i | ||||
\(448\) | 0.112194 | − | 2.64337i | 0.00530068 | − | 0.124888i | ||||
\(449\) | −1.27900 | + | 4.77331i | −0.0603600 | + | 0.225266i | −0.989516 | − | 0.144420i | \(-0.953868\pi\) |
0.929156 | + | 0.369687i | \(0.120535\pi\) | |||||||
\(450\) | −0.295668 | + | 0.200502i | −0.0139379 | + | 0.00945177i | ||||
\(451\) | −9.90711 | + | 17.1596i | −0.466508 | + | 0.808015i | ||||
\(452\) | −6.65750 | −0.313142 | ||||||||
\(453\) | 2.50431 | − | 26.3517i | 0.117663 | − | 1.23811i | ||||
\(454\) | − | 11.3026i | − | 0.530458i | ||||||
\(455\) | 2.01629 | − | 20.9785i | 0.0945251 | − | 0.983488i | ||||
\(456\) | 0.815010 | − | 0.137428i | 0.0381663 | − | 0.00643565i | ||||
\(457\) | 0.529511 | − | 1.97616i | 0.0247695 | − | 0.0924410i | −0.952435 | − | 0.304743i | \(-0.901429\pi\) |
0.977204 | + | 0.212302i | \(0.0680961\pi\) | |||||||
\(458\) | − | 1.97825i | − | 0.0924374i | ||||||
\(459\) | 21.7624 | + | 0.488636i | 1.01578 | + | 0.0228076i | ||||
\(460\) | 10.3075 | − | 2.76189i | 0.480590 | − | 0.128774i | ||||
\(461\) | −36.8262 | − | 9.86755i | −1.71517 | − | 0.459578i | −0.738485 | − | 0.674270i | \(-0.764459\pi\) |
−0.976682 | + | 0.214692i | \(0.931125\pi\) | |||||||
\(462\) | 7.71318 | − | 5.84208i | 0.358850 | − | 0.271798i | ||||
\(463\) | 13.6453 | − | 13.6453i | 0.634149 | − | 0.634149i | −0.314957 | − | 0.949106i | \(-0.601990\pi\) |
0.949106 | + | 0.314957i | \(0.101990\pi\) | |||||||
\(464\) | − | 0.940779i | − | 0.0436746i | ||||||
\(465\) | 2.82466 | + | 16.7515i | 0.130990 | + | 0.776832i | ||||
\(466\) | 11.8337 | − | 11.8337i | 0.548187 | − | 0.548187i | ||||
\(467\) | −4.93246 | + | 8.54326i | −0.228247 | + | 0.395335i | −0.957289 | − | 0.289134i | \(-0.906633\pi\) |
0.729042 | + | 0.684469i | \(0.239966\pi\) | |||||||
\(468\) | 9.46804 | + | 5.23032i | 0.437660 | + | 0.241772i | ||||
\(469\) | 15.1937 | + | 16.5406i | 0.701580 | + | 0.763775i | ||||
\(470\) | −2.40344 | − | 8.96977i | −0.110863 | − | 0.413745i | ||||
\(471\) | −27.9238 | + | 23.0770i | −1.28666 | + | 1.06333i | ||||
\(472\) | 12.3665 | + | 7.13983i | 0.569216 | + | 0.328637i | ||||
\(473\) | −5.47298 | − | 1.46648i | −0.251648 | − | 0.0674289i | ||||
\(474\) | 5.01308 | + | 3.56639i | 0.230258 | + | 0.163810i | ||||
\(475\) | 0.0548875 | + | 0.0147071i | 0.00251841 | + | 0.000674806i | ||||
\(476\) | −9.82509 | + | 5.12980i | −0.450332 | + | 0.235124i | ||||
\(477\) | −10.9301 | + | 12.6370i | −0.500454 | + | 0.578607i | ||||
\(478\) | 13.3086 | − | 7.68374i | 0.608723 | − | 0.351446i | ||||
\(479\) | 11.0918 | + | 11.0918i | 0.506799 | + | 0.506799i | 0.913542 | − | 0.406744i | \(-0.133336\pi\) |
−0.406744 | + | 0.913542i | \(0.633336\pi\) | |||||||
\(480\) | −2.43768 | − | 2.94966i | −0.111264 | − | 0.134633i | ||||
\(481\) | 27.4730 | + | 17.8818i | 1.25266 | + | 0.815340i | ||||
\(482\) | − | 27.2266i | − | 1.24014i | ||||||
\(483\) | −17.6446 | + | 13.3643i | −0.802856 | + | 0.608096i | ||||
\(484\) | 3.27088 | − | 5.66533i | 0.148676 | − | 0.257515i | ||||
\(485\) | 39.4681 | 1.79215 | ||||||||
\(486\) | −8.45725 | − | 13.0948i | −0.383629 | − | 0.593994i | ||||
\(487\) | −35.2651 | + | 9.44927i | −1.59802 | + | 0.428187i | −0.944443 | − | 0.328676i | \(-0.893398\pi\) |
−0.653573 | + | 0.756863i | \(0.726731\pi\) | |||||||
\(488\) | −2.85881 | − | 2.85881i | −0.129412 | − | 0.129412i | ||||
\(489\) | 35.8340 | + | 25.4930i | 1.62047 | + | 1.15283i | ||||
\(490\) | 1.31042 | − | 15.4093i | 0.0591986 | − | 0.696123i | ||||
\(491\) | 16.2655 | − | 28.1727i | 0.734053 | − | 1.27142i | −0.221084 | − | 0.975255i | \(-0.570960\pi\) |
0.955138 | − | 0.296163i | \(-0.0957071\pi\) | |||||||
\(492\) | −16.1809 | − | 1.53774i | −0.729493 | − | 0.0693267i | ||||
\(493\) | −3.41313 | + | 1.97057i | −0.153719 | + | 0.0887500i | ||||
\(494\) | −0.355968 | − | 1.68330i | −0.0160157 | − | 0.0757353i | ||||
\(495\) | 2.63608 | − | 13.7439i | 0.118483 | − | 0.617741i | ||||
\(496\) | 4.28819 | − | 1.14902i | 0.192545 | − | 0.0515924i | ||||
\(497\) | −15.6460 | − | 4.91228i | −0.701821 | − | 0.220346i | ||||
\(498\) | 11.4992 | + | 13.9143i | 0.515291 | + | 0.623517i | ||||
\(499\) | 33.1116 | − | 8.87224i | 1.48228 | − | 0.397176i | 0.575158 | − | 0.818042i | \(-0.304941\pi\) |
0.907123 | + | 0.420866i | \(0.138274\pi\) | |||||||
\(500\) | −2.92711 | − | 10.9241i | −0.130904 | − | 0.488542i | ||||
\(501\) | 4.87116 | + | 10.6537i | 0.217627 | + | 0.475970i | ||||
\(502\) | 4.90196 | + | 18.2944i | 0.218785 | + | 0.816518i | ||||
\(503\) | 9.85823 | − | 5.69165i | 0.439557 | − | 0.253778i | −0.263853 | − | 0.964563i | \(-0.584993\pi\) |
0.703410 | + | 0.710785i | \(0.251660\pi\) | |||||||
\(504\) | 6.98937 | + | 3.76148i | 0.311331 | + | 0.167550i | ||||
\(505\) | 4.66012 | + | 17.3918i | 0.207372 | + | 0.773925i | ||||
\(506\) | 5.09931 | − | 8.83226i | 0.226692 | − | 0.392642i | ||||
\(507\) | 10.0637 | − | 20.1425i | 0.446946 | − | 0.894561i | ||||
\(508\) | 2.79797 | + | 4.84622i | 0.124140 | + | 0.215016i | ||||
\(509\) | 26.3143 | + | 7.05090i | 1.16636 | + | 0.312525i | 0.789504 | − | 0.613746i | \(-0.210338\pi\) |
0.376857 | + | 0.926271i | \(0.377005\pi\) | |||||||
\(510\) | −5.59530 | + | 15.0222i | −0.247764 | + | 0.665196i | ||||
\(511\) | −17.5644 | − | 5.51459i | −0.777005 | − | 0.243951i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −0.695355 | + | 2.38005i | −0.0307007 | + | 0.105082i | ||||
\(514\) | −3.77856 | − | 14.1018i | −0.166665 | − | 0.622002i | ||||
\(515\) | 7.21394 | − | 26.9228i | 0.317884 | − | 1.18636i | ||||
\(516\) | −0.772829 | − | 4.58322i | −0.0340219 | − | 0.201765i | ||||
\(517\) | −7.68598 | − | 4.43750i | −0.338029 | − | 0.195161i | ||||
\(518\) | 20.3025 | + | 12.8995i | 0.892042 | + | 0.566771i | ||||
\(519\) | 1.93358 | + | 11.4670i | 0.0848749 | + | 0.503346i | ||||
\(520\) | −5.92519 | + | 5.32392i | −0.259837 | + | 0.233469i | ||||
\(521\) | 23.4026 | − | 13.5115i | 1.02529 | − | 0.591949i | 0.109655 | − | 0.993970i | \(-0.465025\pi\) |
0.915631 | + | 0.402021i | \(0.131692\pi\) | |||||||
\(522\) | 2.53977 | + | 1.23092i | 0.111163 | + | 0.0538759i | ||||
\(523\) | 12.7790 | + | 22.1340i | 0.558789 | + | 0.967850i | 0.997598 | + | 0.0692700i | \(0.0220670\pi\) |
−0.438809 | + | 0.898580i | \(0.644600\pi\) | |||||||
\(524\) | 0.653760 | + | 1.13235i | 0.0285597 | + | 0.0494668i | ||||
\(525\) | 0.329477 | + | 0.435002i | 0.0143796 | + | 0.0189850i | ||||
\(526\) | −4.54426 | + | 16.9594i | −0.198139 | + | 0.739465i | ||||
\(527\) | −13.1507 | − | 13.1507i | −0.572853 | − | 0.572853i | ||||
\(528\) | −3.64074 | − | 0.345995i | −0.158443 | − | 0.0150575i | ||||
\(529\) | −0.165110 | + | 0.285979i | −0.00717869 | + | 0.0124338i | ||||
\(530\) | −6.15214 | − | 10.6558i | −0.267232 | − | 0.462859i | ||||
\(531\) | −35.4554 | + | 24.0435i | −1.53863 | + | 1.04340i | ||||
\(532\) | −0.274757 | − | 1.23226i | −0.0119122 | − | 0.0534254i | ||||
\(533\) | −1.80592 | + | 33.7868i | −0.0782232 | + | 1.46347i | ||||
\(534\) | −25.6390 | − | 9.54969i | −1.10951 | − | 0.413256i | ||||
\(535\) | −0.856103 | − | 0.856103i | −0.0370126 | − | 0.0370126i | ||||
\(536\) | − | 8.48899i | − | 0.366669i | ||||||
\(537\) | 1.26607 | + | 7.50836i | 0.0546349 | + | 0.324010i | ||||
\(538\) | 8.27945 | + | 8.27945i | 0.356952 | + | 0.356952i | ||||
\(539\) | −9.52801 | − | 11.2992i | −0.410400 | − | 0.486689i | ||||
\(540\) | 11.1525 | − | 2.72152i | 0.479927 | − | 0.117116i | ||||
\(541\) | −3.03870 | − | 11.3406i | −0.130644 | − | 0.487569i | 0.869334 | − | 0.494225i | \(-0.164548\pi\) |
−0.999978 | + | 0.00665574i | \(0.997881\pi\) | |||||||
\(542\) | −11.6578 | − | 6.73066i | −0.500747 | − | 0.289107i | ||||
\(543\) | 45.9050 | − | 7.74056i | 1.96997 | − | 0.332179i | ||||
\(544\) | 4.04648 | + | 1.08425i | 0.173492 | + | 0.0464869i | ||||
\(545\) | 20.0650 | 0.859490 | ||||||||
\(546\) | 7.22200 | − | 14.8608i | 0.309073 | − | 0.635983i | ||||
\(547\) | 40.5275 | 1.73283 | 0.866415 | − | 0.499324i | \(-0.166418\pi\) | ||||
0.866415 | + | 0.499324i | \(0.166418\pi\) | |||||||
\(548\) | 16.3692 | + | 4.38612i | 0.699258 | + | 0.187366i | ||||
\(549\) | 11.4583 | − | 3.97730i | 0.489027 | − | 0.169747i | ||||
\(550\) | −0.217747 | − | 0.125716i | −0.00928476 | − | 0.00536056i | ||||
\(551\) | −0.116191 | − | 0.433632i | −0.00494992 | − | 0.0184734i | ||||
\(552\) | 8.32852 | + | 0.791494i | 0.354485 | + | 0.0336882i | ||||
\(553\) | 5.03975 | − | 7.93208i | 0.214312 | − | 0.337306i | ||||
\(554\) | 2.11698 | + | 2.11698i | 0.0899418 | + | 0.0899418i | ||||
\(555\) | 34.3052 | − | 5.78458i | 1.45617 | − | 0.245542i | ||||
\(556\) | 0.0160678i | 0.000681428i | ||||||||
\(557\) | 24.4821 | + | 24.4821i | 1.03734 | + | 1.03734i | 0.999275 | + | 0.0380657i | \(0.0121196\pi\) |
0.0380657 | + | 0.999275i | \(0.487880\pi\) | |||||||
\(558\) | −2.50874 | + | 13.0800i | −0.106204 | + | 0.553719i | ||||
\(559\) | −9.46608 | + | 2.00179i | −0.400373 | + | 0.0846668i | ||||
\(560\) | −4.30474 | + | 3.95420i | −0.181908 | + | 0.167095i | ||||
\(561\) | 6.37069 | + | 13.9333i | 0.268971 | + | 0.588263i | ||||
\(562\) | −5.51134 | − | 9.54592i | −0.232482 | − | 0.402670i | ||||
\(563\) | 15.6649 | − | 27.1323i | 0.660195 | − | 1.14349i | −0.320369 | − | 0.947293i | \(-0.603807\pi\) |
0.980564 | − | 0.196199i | \(-0.0628597\pi\) | |||||||
\(564\) | 0.688771 | − | 7.24761i | 0.0290025 | − | 0.305179i | ||||
\(565\) | 10.4003 | + | 10.4003i | 0.437545 | + | 0.437545i | ||||
\(566\) | −1.44444 | + | 5.39074i | −0.0607145 | + | 0.226590i | ||||
\(567\) | −19.2996 | + | 13.9473i | −0.810506 | + | 0.585730i | ||||
\(568\) | 3.09913 | + | 5.36785i | 0.130037 | + | 0.225230i | ||||
\(569\) | 18.1789 | + | 31.4868i | 0.762098 | + | 1.31999i | 0.941767 | + | 0.336266i | \(0.109164\pi\) |
−0.179669 | + | 0.983727i | \(0.557503\pi\) | |||||||
\(570\) | −1.48789 | − | 1.05852i | −0.0623211 | − | 0.0443364i | ||||
\(571\) | 19.2095 | − | 11.0906i | 0.803891 | − | 0.464126i | −0.0409392 | − | 0.999162i | \(-0.513035\pi\) |
0.844830 | + | 0.535035i | \(0.179702\pi\) | |||||||
\(572\) | −0.406336 | + | 7.60211i | −0.0169898 | + | 0.317860i | ||||
\(573\) | 8.22326 | − | 1.38662i | 0.343532 | − | 0.0579267i | ||||
\(574\) | −1.05285 | + | 24.8058i | −0.0439450 | + | 1.03537i | ||||
\(575\) | 0.498115 | + | 0.287587i | 0.0207728 | + | 0.0119932i | ||||
\(576\) | −0.983756 | − | 2.83412i | −0.0409898 | − | 0.118088i | ||||
\(577\) | −8.72943 | + | 32.5787i | −0.363411 | + | 1.35627i | 0.506151 | + | 0.862445i | \(0.331068\pi\) |
−0.869562 | + | 0.493823i | \(0.835599\pi\) | |||||||
\(578\) | −0.142252 | − | 0.530893i | −0.00591692 | − | 0.0220823i | ||||
\(579\) | 1.18695 | + | 0.844419i | 0.0493280 | + | 0.0350929i | ||||
\(580\) | −1.46968 | + | 1.46968i | −0.0610253 | + | 0.0610253i | ||||
\(581\) | 20.3066 | − | 18.6530i | 0.842461 | − | 0.773858i | ||||
\(582\) | 28.9965 | + | 10.8003i | 1.20194 | + | 0.447685i | ||||
\(583\) | −11.3588 | − | 3.04357i | −0.470432 | − | 0.126052i | ||||
\(584\) | 3.47912 | + | 6.02601i | 0.143967 | + | 0.249358i | ||||
\(585\) | −6.62015 | − | 22.9617i | −0.273709 | − | 0.949351i | ||||
\(586\) | 8.66040 | − | 15.0003i | 0.357758 | − | 0.619655i | ||||
\(587\) | −11.4129 | − | 42.5935i | −0.471061 | − | 1.75802i | −0.635970 | − | 0.771714i | \(-0.719400\pi\) |
0.164909 | − | 0.986309i | \(-0.447267\pi\) | |||||||
\(588\) | 5.17943 | − | 10.9624i | 0.213596 | − | 0.452080i | ||||
\(589\) | 1.83464 | − | 1.05923i | 0.0755950 | − | 0.0436448i | ||||
\(590\) | −8.16516 | − | 30.4728i | −0.336154 | − | 1.25454i | ||||
\(591\) | −22.3726 | + | 10.2294i | −0.920286 | + | 0.420781i | ||||
\(592\) | −2.35306 | − | 8.78173i | −0.0967101 | − | 0.360927i | ||||
\(593\) | −24.8024 | + | 6.64578i | −1.01851 | + | 0.272909i | −0.729182 | − | 0.684320i | \(-0.760099\pi\) |
−0.289330 | + | 0.957229i | \(0.593432\pi\) | |||||||
\(594\) | 5.69762 | − | 9.37601i | 0.233776 | − | 0.384702i | ||||
\(595\) | 23.3625 | + | 7.33497i | 0.957769 | + | 0.300704i | ||||
\(596\) | 10.0466 | − | 2.69197i | 0.411524 | − | 0.110267i | ||||
\(597\) | 4.32038 | − | 11.5993i | 0.176822 | − | 0.474729i | ||||
\(598\) | 0.929530 | − | 17.3905i | 0.0380113 | − | 0.711150i | ||||
\(599\) | −0.0523660 | + | 0.0302335i | −0.00213962 | + | 0.00123531i | −0.501069 | − | 0.865407i | \(-0.667060\pi\) |
0.498930 | + | 0.866642i | \(0.333727\pi\) | |||||||
\(600\) | 0.0195132 | − | 0.205328i | 0.000796622 | − | 0.00838248i | ||||
\(601\) | −5.10069 | + | 8.83465i | −0.208061 | + | 0.360373i | −0.951104 | − | 0.308872i | \(-0.900049\pi\) |
0.743042 | + | 0.669244i | \(0.233382\pi\) | |||||||
\(602\) | −6.92966 | + | 1.54510i | −0.282432 | + | 0.0629737i | ||||
\(603\) | 22.9173 | + | 11.1070i | 0.933263 | + | 0.452313i | ||||
\(604\) | 10.8065 | + | 10.8065i | 0.439711 | + | 0.439711i | ||||
\(605\) | −13.9601 | + | 3.74060i | −0.567560 | + | 0.152077i | ||||
\(606\) | −1.33548 | + | 14.0526i | −0.0542502 | + | 0.570850i | ||||
\(607\) | −0.527175 | −0.0213974 | −0.0106987 | − | 0.999943i | \(-0.503406\pi\) | ||||
−0.0106987 | + | 0.999943i | \(0.503406\pi\) | |||||||
\(608\) | −0.238594 | + | 0.413257i | −0.00967628 | + | 0.0167598i | ||||
\(609\) | 1.67476 | − | 3.97260i | 0.0678645 | − | 0.160978i | ||||
\(610\) | 8.93206i | 0.361649i | ||||||||
\(611\) | −15.1335 | − | 0.808892i | −0.612235 | − | 0.0327243i | ||||
\(612\) | −8.22153 | + | 9.50542i | −0.332335 | + | 0.384234i | ||||
\(613\) | −5.56818 | − | 5.56818i | −0.224897 | − | 0.224897i | 0.585660 | − | 0.810557i | \(-0.300835\pi\) |
−0.810557 | + | 0.585660i | \(0.800835\pi\) | |||||||
\(614\) | 5.77169 | − | 3.33229i | 0.232927 | − | 0.134480i | ||||
\(615\) | 22.8755 | + | 27.6801i | 0.922431 | + | 1.11617i | ||||
\(616\) | −0.236893 | + | 5.58136i | −0.00954469 | + | 0.224879i | ||||
\(617\) | 35.0869 | + | 9.40151i | 1.41255 | + | 0.378491i | 0.882833 | − | 0.469686i | \(-0.155633\pi\) |
0.529713 | + | 0.848177i | \(0.322300\pi\) | |||||||
\(618\) | 12.6672 | − | 17.8056i | 0.509551 | − | 0.716246i | ||||
\(619\) | 21.3680 | + | 5.72554i | 0.858853 | + | 0.230129i | 0.661261 | − | 0.750156i | \(-0.270021\pi\) |
0.197591 | + | 0.980284i | \(0.436688\pi\) | |||||||
\(620\) | −8.49398 | − | 4.90400i | −0.341127 | − | 0.196950i | ||||
\(621\) | −13.0338 | + | 21.4484i | −0.523029 | + | 0.860696i | ||||
\(622\) | −4.49219 | − | 16.7651i | −0.180121 | − | 0.672219i | ||||
\(623\) | −12.5188 | + | 39.8736i | −0.501557 | + | 1.59750i | ||||
\(624\) | −5.80999 | + | 2.28998i | −0.232586 | + | 0.0916727i | ||||
\(625\) | −12.1952 | + | 21.1227i | −0.487808 | + | 0.844909i | ||||
\(626\) | −0.991259 | + | 0.991259i | −0.0396187 | + | 0.0396187i | ||||
\(627\) | −1.72086 | + | 0.290173i | −0.0687244 | + | 0.0115884i | ||||
\(628\) | − | 20.9148i | − | 0.834592i | ||||||
\(629\) | −26.9312 | + | 26.9312i | −1.07382 | + | 1.07382i | ||||
\(630\) | −5.04260 | − | 16.7949i | −0.200902 | − | 0.669127i | ||||
\(631\) | −2.70265 | − | 0.724172i | −0.107591 | − | 0.0288288i | 0.204622 | − | 0.978841i | \(-0.434403\pi\) |
−0.312213 | + | 0.950012i | \(0.601070\pi\) | |||||||
\(632\) | −3.43097 | + | 0.919325i | −0.136477 | + | 0.0365688i | ||||
\(633\) | −22.4342 | − | 8.35601i | −0.891678 | − | 0.332121i | ||||
\(634\) | 25.6142i | 1.01727i | ||||||||
\(635\) | 3.19978 | − | 11.9417i | 0.126979 | − | 0.473893i | ||||
\(636\) | −1.60395 | − | 9.51213i | −0.0636006 | − | 0.377180i | ||||
\(637\) | −23.2462 | − | 9.82930i | −0.921047 | − | 0.389451i | ||||
\(638\) | 1.98641i | 0.0786428i | ||||||||
\(639\) | −18.5462 | + | 1.34323i | −0.733676 | + | 0.0531375i | ||||
\(640\) | 2.20928 | 0.0873295 | ||||||||
\(641\) | −0.930813 | + | 1.61221i | −0.0367649 | + | 0.0636787i | −0.883822 | − | 0.467823i | \(-0.845039\pi\) |
0.847057 | + | 0.531501i | \(0.178372\pi\) | |||||||
\(642\) | −0.394694 | − | 0.863231i | −0.0155773 | − | 0.0340690i | ||||
\(643\) | 4.16762 | − | 15.5538i | 0.164355 | − | 0.613381i | −0.833767 | − | 0.552117i | \(-0.813820\pi\) |
0.998122 | − | 0.0612638i | \(-0.0195131\pi\) | |||||||
\(644\) | 0.541913 | − | 12.7678i | 0.0213544 | − | 0.503124i | ||||
\(645\) | −5.95259 | + | 8.36721i | −0.234383 | + | 0.329459i | ||||
\(646\) | 1.99905 | 0.0786516 | ||||||||
\(647\) | 1.45851 | 0.0573401 | 0.0286701 | − | 0.999589i | \(-0.490873\pi\) | ||||
0.0286701 | + | 0.999589i | \(0.490873\pi\) | |||||||
\(648\) | 8.93826 | + | 1.05238i | 0.351128 | + | 0.0413414i | ||||
\(649\) | −26.1114 | − | 15.0754i | −1.02496 | − | 0.591762i | ||||
\(650\) | −0.428738 | − | 0.0229163i | −0.0168165 | − | 0.000898849i | ||||
\(651\) | 20.1531 | + | 2.78182i | 0.789861 | + | 0.109028i | ||||
\(652\) | −24.5250 | + | 6.57144i | −0.960471 | + | 0.257358i | ||||
\(653\) | −39.0756 | + | 22.5603i | −1.52915 | + | 0.882852i | −0.529747 | + | 0.848155i | \(0.677713\pi\) |
−0.999398 | + | 0.0346969i | \(0.988953\pi\) | |||||||
\(654\) | 14.7414 | + | 5.49069i | 0.576433 | + | 0.214703i | ||||
\(655\) | 0.747645 | − | 2.79025i | 0.0292129 | − | 0.109024i | ||||
\(656\) | 6.63560 | − | 6.63560i | 0.259077 | − | 0.259077i | ||||
\(657\) | −20.8202 | + | 1.50793i | −0.812273 | + | 0.0588300i | ||||
\(658\) | −11.1108 | − | 0.471582i | −0.433144 | − | 0.0183842i | ||||
\(659\) | −6.23306 | + | 3.59866i | −0.242805 | + | 0.140184i | −0.616465 | − | 0.787382i | \(-0.711436\pi\) |
0.373660 | + | 0.927566i | \(0.378103\pi\) | |||||||
\(660\) | 5.14705 | + | 6.22807i | 0.200348 | + | 0.242427i | ||||
\(661\) | −8.25522 | + | 8.25522i | −0.321091 | + | 0.321091i | −0.849185 | − | 0.528095i | \(-0.822907\pi\) |
0.528095 | + | 0.849185i | \(0.322907\pi\) | |||||||
\(662\) | −2.25297 | − | 3.90225i | −0.0875641 | − | 0.151665i | ||||
\(663\) | 20.4777 | + | 16.2819i | 0.795287 | + | 0.632336i | ||||
\(664\) | −10.4218 | −0.404444 | ||||||||
\(665\) | −1.49581 | + | 2.35426i | −0.0580051 | + | 0.0912944i | ||||
\(666\) | 26.7863 | + | 5.13763i | 1.03795 | + | 0.199079i | ||||
\(667\) | − | 4.54409i | − | 0.175948i | ||||||
\(668\) | −6.53289 | − | 1.75048i | −0.252765 | − | 0.0677282i | ||||
\(669\) | 3.01084 | + | 6.58496i | 0.116406 | + | 0.254589i | ||||
\(670\) | −13.2615 | + | 13.2615i | −0.512336 | + | 0.512336i | ||||
\(671\) | 6.03626 | + | 6.03626i | 0.233027 | + | 0.233027i | ||||
\(672\) | −4.24466 | + | 1.72710i | −0.163741 | + | 0.0666245i | ||||
\(673\) | 10.8414 | + | 6.25926i | 0.417903 | + | 0.241277i | 0.694180 | − | 0.719802i | \(-0.255767\pi\) |
−0.276276 | + | 0.961078i | \(0.589101\pi\) | |||||||
\(674\) | −8.98245 | + | 33.5230i | −0.345991 | + | 1.29126i | ||||
\(675\) | 0.528781 | + | 0.321330i | 0.0203528 | + | 0.0123680i | ||||
\(676\) | 5.26287 | + | 11.8871i | 0.202418 | + | 0.457195i | ||||
\(677\) | 26.6494 | + | 15.3860i | 1.02422 | + | 0.591333i | 0.915323 | − | 0.402721i | \(-0.131935\pi\) |
0.108895 | + | 0.994053i | \(0.465269\pi\) | |||||||
\(678\) | 4.79492 | + | 10.4869i | 0.184148 | + | 0.402748i | ||||
\(679\) | 14.1582 | − | 45.0952i | 0.543343 | − | 1.73059i | ||||
\(680\) | −4.62759 | − | 8.01522i | −0.177460 | − | 0.307370i | ||||
\(681\) | −17.8039 | + | 8.14047i | −0.682248 | + | 0.311943i | ||||
\(682\) | −9.05431 | + | 2.42610i | −0.346708 | + | 0.0929000i | ||||
\(683\) | 33.6861 | − | 9.02617i | 1.28896 | − | 0.345377i | 0.451697 | − | 0.892171i | \(-0.350819\pi\) |
0.837267 | + | 0.546795i | \(0.184152\pi\) | |||||||
\(684\) | −0.803471 | − | 1.18483i | −0.0307215 | − | 0.0453030i | ||||
\(685\) | −18.7200 | − | 32.4239i | −0.715253 | − | 1.23885i | ||||
\(686\) | −17.1362 | − | 7.02498i | −0.654264 | − | 0.268215i | ||||
\(687\) | −3.11614 | + | 1.42479i | −0.118888 | + | 0.0543591i | ||||
\(688\) | 2.32396 | + | 1.34174i | 0.0886002 | + | 0.0511534i | ||||
\(689\) | −19.6461 | + | 4.15457i | −0.748458 | + | 0.158276i | ||||
\(690\) | −11.7743 | − | 14.2473i | −0.448241 | − | 0.542384i | ||||
\(691\) | −10.6296 | + | 39.6701i | −0.404368 | + | 1.50912i | 0.400852 | + | 0.916143i | \(0.368714\pi\) |
−0.805219 | + | 0.592977i | \(0.797952\pi\) | |||||||
\(692\) | −5.81445 | − | 3.35697i | −0.221032 | − | 0.127613i | ||||
\(693\) | −14.7577 | − | 7.94220i | −0.560600 | − | 0.301699i | ||||
\(694\) | −11.1992 | − | 11.1992i | −0.425116 | − | 0.425116i | ||||
\(695\) | 0.0251011 | − | 0.0251011i | 0.000952141 | − | 0.000952141i | ||||
\(696\) | −1.48192 | + | 0.677577i | −0.0561720 | + | 0.0256835i | ||||
\(697\) | −37.9728 | − | 10.1748i | −1.43832 | − | 0.385398i | ||||
\(698\) | − | 30.6809i | − | 1.16129i | ||||||
\(699\) | −27.1635 | − | 10.1175i | −1.02742 | − | 0.382681i | ||||
\(700\) | −0.314773 | − | 0.0133601i | −0.0118973 | − | 0.000504965i | ||||
\(701\) | 33.7188 | 1.27354 | 0.636771 | − | 0.771053i | \(-0.280270\pi\) | ||||
0.636771 | + | 0.771053i | \(0.280270\pi\) | |||||||
\(702\) | 1.41967 | − | 18.6811i | 0.0535821 | − | 0.705074i | ||||
\(703\) | −2.16918 | − | 3.75714i | −0.0818123 | − | 0.141703i | ||||
\(704\) | 1.49302 | − | 1.49302i | 0.0562705 | − | 0.0562705i | ||||
\(705\) | −12.3982 | + | 10.2462i | −0.466943 | + | 0.385894i | ||||
\(706\) | −9.51361 | + | 5.49269i | −0.358049 | + | 0.206720i | ||||
\(707\) | 21.5431 | + | 0.914366i | 0.810211 | + | 0.0343883i | ||||
\(708\) | 2.33995 | − | 24.6221i | 0.0879405 | − | 0.925357i | ||||
\(709\) | 5.99300 | − | 5.99300i | 0.225072 | − | 0.225072i | −0.585558 | − | 0.810630i | \(-0.699125\pi\) |
0.810630 | + | 0.585558i | \(0.199125\pi\) | |||||||
\(710\) | 3.54419 | − | 13.2271i | 0.133011 | − | 0.496404i | ||||
\(711\) | 2.00724 | − | 10.4652i | 0.0752774 | − | 0.392477i | ||||
\(712\) | 13.6798 | − | 7.89806i | 0.512674 | − | 0.295992i | ||||
\(713\) | 20.7125 | − | 5.54991i | 0.775690 | − | 0.207846i | ||||
\(714\) | 15.1568 | + | 11.7819i | 0.567229 | + | 0.440927i | ||||
\(715\) | 12.5108 | − | 11.2412i | 0.467876 | − | 0.420397i | ||||
\(716\) | −3.80718 | − | 2.19808i | −0.142281 | − | 0.0821459i | ||||
\(717\) | −21.6887 | − | 15.4298i | −0.809981 | − | 0.576235i | ||||
\(718\) | 3.25798 | 0.121587 | ||||||||
\(719\) | −0.827456 | −0.0308589 | −0.0154294 | − | 0.999881i | \(-0.504912\pi\) | ||||
−0.0154294 | + | 0.999881i | \(0.504912\pi\) | |||||||
\(720\) | −2.89063 | + | 5.96427i | −0.107727 | + | 0.222275i | ||||
\(721\) | −28.1734 | − | 17.9003i | −1.04923 | − | 0.666644i | ||||
\(722\) | 4.85863 | − | 18.1326i | 0.180819 | − | 0.674827i | ||||
\(723\) | −42.8875 | + | 19.6094i | −1.59500 | + | 0.729281i | ||||
\(724\) | −13.4387 | + | 23.2765i | −0.499446 | + | 0.865065i | ||||
\(725\) | −0.112028 | −0.00416062 | ||||||||
\(726\) | −11.2798 | − | 1.07197i | −0.418634 | − | 0.0397845i | ||||
\(727\) | − | 4.04016i | − | 0.149841i | −0.997190 | − | 0.0749206i | \(-0.976130\pi\) | ||
0.997190 | − | 0.0749206i | \(-0.0238703\pi\) | |||||||
\(728\) | 3.95744 | + | 8.67978i | 0.146673 | + | 0.321694i | ||||
\(729\) | −14.5359 | + | 22.7532i | −0.538367 | + | 0.842711i | ||||
\(730\) | 3.97875 | − | 14.8489i | 0.147260 | − | 0.549582i | ||||
\(731\) | − | 11.2417i | − | 0.415790i | ||||||
\(732\) | −2.44422 | + | 6.56222i | −0.0903409 | + | 0.242547i | ||||
\(733\) | −36.5502 | + | 9.79359i | −1.35001 | + | 0.361735i | −0.860139 | − | 0.510059i | \(-0.829623\pi\) |
−0.489873 | + | 0.871794i | \(0.662957\pi\) | |||||||
\(734\) | −19.9057 | − | 5.33373i | −0.734735 | − | 0.196872i | ||||
\(735\) | −25.2167 | + | 9.03408i | −0.930131 | + | 0.333227i | ||||
\(736\) | −3.41542 | + | 3.41542i | −0.125894 | + | 0.125894i | ||||
\(737\) | 17.9241i | 0.660243i | ||||||||
\(738\) | 9.23172 | + | 26.5958i | 0.339824 | + | 0.979005i | ||||
\(739\) | 27.5299 | − | 27.5299i | 1.01270 | − | 1.01270i | 0.0127856 | − | 0.999918i | \(-0.495930\pi\) |
0.999918 | − | 0.0127856i | \(-0.00406990\pi\) | |||||||
\(740\) | −10.0429 | + | 17.3947i | −0.369183 | + | 0.639443i | ||||
\(741\) | −2.39517 | + | 1.77308i | −0.0879886 | + | 0.0651359i | ||||
\(742\) | −14.3820 | + | 3.20675i | −0.527979 | + | 0.117723i | ||||
\(743\) | −1.98573 | − | 7.41084i | −0.0728493 | − | 0.271877i | 0.919888 | − | 0.392182i | \(-0.128280\pi\) |
−0.992737 | + | 0.120305i | \(0.961613\pi\) | |||||||
\(744\) | −4.89841 | − | 5.92722i | −0.179585 | − | 0.217302i | ||||
\(745\) | −19.9001 | − | 11.4893i | −0.729084 | − | 0.420937i | ||||
\(746\) | 1.36206 | + | 0.364962i | 0.0498685 | + | 0.0133622i | ||||
\(747\) | 13.6359 | − | 28.1351i | 0.498911 | − | 1.02941i | ||||
\(748\) | −8.54396 | − | 2.28935i | −0.312398 | − | 0.0837069i | ||||
\(749\) | −1.28527 | + | 0.671053i | −0.0469626 | + | 0.0245198i | ||||
\(750\) | −15.0995 | + | 12.4787i | −0.551357 | + | 0.455657i | ||||
\(751\) | 32.2926 | − | 18.6442i | 1.17837 | − | 0.680335i | 0.222737 | − | 0.974879i | \(-0.428501\pi\) |
0.955638 | + | 0.294544i | \(0.0951676\pi\) | |||||||
\(752\) | 2.97216 | + | 2.97216i | 0.108383 | + | 0.108383i | ||||
\(753\) | 25.2868 | − | 20.8977i | 0.921504 | − | 0.761556i | ||||
\(754\) | 1.53681 | + | 3.02392i | 0.0559671 | + | 0.110125i | ||||
\(755\) | − | 33.7638i | − | 1.22879i | ||||||
\(756\) | 0.891157 | − | 13.7188i | 0.0324111 | − | 0.498948i | ||||
\(757\) | −6.78893 | + | 11.7588i | −0.246748 | + | 0.427380i | −0.962622 | − | 0.270850i | \(-0.912695\pi\) |
0.715874 | + | 0.698230i | \(0.246029\pi\) | |||||||
\(758\) | −16.3202 | −0.592777 | ||||||||
\(759\) | −17.5853 | − | 1.67120i | −0.638305 | − | 0.0606608i | ||||
\(760\) | 1.01832 | − | 0.272858i | 0.0369384 | − | 0.00989761i | ||||
\(761\) | 5.56319 | + | 5.56319i | 0.201665 | + | 0.201665i | 0.800713 | − | 0.599048i | \(-0.204454\pi\) |
−0.599048 | + | 0.800713i | \(0.704454\pi\) | |||||||
\(762\) | 5.61862 | − | 7.89777i | 0.203541 | − | 0.286106i | ||||
\(763\) | 7.19783 | − | 22.9257i | 0.260579 | − | 0.829966i | ||||
\(764\) | −2.40736 | + | 4.16967i | −0.0870953 | + | 0.150853i | ||||
\(765\) | 27.6930 | − | 2.00570i | 1.00124 | − | 0.0725163i | ||||
\(766\) | −21.5248 | + | 12.4274i | −0.777723 | + | 0.449019i | ||||
\(767\) | −51.4126 | − | 2.74803i | −1.85640 | − | 0.0992256i | ||||
\(768\) | 1.62312 | + | 0.604559i | 0.0585692 | + | 0.0218151i | ||||
\(769\) | 17.5074 | − | 4.69109i | 0.631333 | − | 0.169165i | 0.0710583 | − | 0.997472i | \(-0.477362\pi\) |
0.560274 | + | 0.828307i | \(0.310696\pi\) | |||||||
\(770\) | 9.08926 | − | 8.34911i | 0.327554 | − | 0.300881i | ||||
\(771\) | −19.4917 | + | 16.1085i | −0.701978 | + | 0.580134i | ||||
\(772\) | −0.812354 | + | 0.217670i | −0.0292372 | + | 0.00783410i | ||||
\(773\) | −7.25258 | − | 27.0670i | −0.260857 | − | 0.973533i | −0.964737 | − | 0.263214i | \(-0.915217\pi\) |
0.703880 | − | 0.710319i | \(-0.251449\pi\) | |||||||
\(774\) | −6.66290 | + | 4.51833i | −0.239493 | + | 0.162408i | ||||
\(775\) | −0.136825 | − | 0.510638i | −0.00491490 | − | 0.0183427i | ||||
\(776\) | −15.4713 | + | 8.93234i | −0.555386 | + | 0.320652i | ||||
\(777\) | 5.69686 | − | 41.2712i | 0.204374 | − | 1.48060i | ||||
\(778\) | 2.76154 | + | 10.3062i | 0.0990059 | + | 0.369495i | ||||
\(779\) | 2.23901 | − | 3.87807i | 0.0802207 | − | 0.138946i | ||||
\(780\) | 12.6538 | + | 5.49894i | 0.453077 | + | 0.196894i | ||||
\(781\) | −6.54367 | − | 11.3340i | −0.234151 | − | 0.405561i | ||||
\(782\) | 19.5451 | + | 5.23708i | 0.698930 | + | 0.187278i | ||||
\(783\) | 0.109734 | − | 4.88720i | 0.00392156 | − | 0.174654i | ||||
\(784\) | 2.97374 | + | 6.33695i | 0.106205 | + | 0.226320i | ||||
\(785\) | −32.6731 | + | 32.6731i | −1.16615 | + | 1.16615i | ||||
\(786\) | 1.31282 | − | 1.84536i | 0.0468267 | − | 0.0658216i | ||||
\(787\) | 7.24146 | + | 27.0255i | 0.258130 | + | 0.963355i | 0.966322 | + | 0.257335i | \(0.0828444\pi\) |
−0.708192 | + | 0.706020i | \(0.750489\pi\) | |||||||
\(788\) | 3.67600 | − | 13.7190i | 0.130952 | − | 0.488720i | ||||
\(789\) | 29.9875 | − | 5.05652i | 1.06758 | − | 0.180017i | ||||
\(790\) | 6.79601 | + | 3.92368i | 0.241791 | + | 0.139598i | ||||
\(791\) | 15.6140 | − | 8.15226i | 0.555169 | − | 0.289861i | ||||
\(792\) | 2.07716 | + | 5.98411i | 0.0738085 | + | 0.212636i | ||||
\(793\) | 13.8590 | + | 4.51900i | 0.492148 | + | 0.160474i | ||||
\(794\) | 17.1978 | − | 9.92917i | 0.610328 | − | 0.352373i | ||||
\(795\) | −12.3541 | + | 17.3655i | −0.438156 | + | 0.615891i | ||||
\(796\) | 3.57317 | + | 6.18891i | 0.126648 | + | 0.219360i | ||||
\(797\) | −10.0633 | − | 17.4302i | −0.356462 | − | 0.617410i | 0.630905 | − | 0.775860i | \(-0.282684\pi\) |
−0.987367 | + | 0.158450i | \(0.949350\pi\) | |||||||
\(798\) | −1.74318 | + | 1.32031i | −0.0617078 | + | 0.0467385i | ||||
\(799\) | 4.55740 | − | 17.0084i | 0.161229 | − | 0.601715i | ||||
\(800\) | 0.0842024 | + | 0.0842024i | 0.00297701 | + | 0.00297701i | ||||
\(801\) | 3.42320 | + | 47.2646i | 0.120953 | + | 1.67001i | ||||
\(802\) | −3.68321 | + | 6.37951i | −0.130059 | + | 0.225268i | ||||
\(803\) | −7.34601 | − | 12.7237i | −0.259235 | − | 0.449008i | ||||
\(804\) | −13.3719 | + | 6.11402i | −0.471590 | + | 0.215625i | ||||
\(805\) | −20.7925 | + | 19.0993i | −0.732838 | + | 0.673162i | ||||
\(806\) | −11.9064 | + | 10.6982i | −0.419386 | + | 0.376828i | ||||
\(807\) | 7.07873 | − | 19.0049i | 0.249183 | − | 0.669005i | ||||
\(808\) | −5.76282 | − | 5.76282i | −0.202735 | − | 0.202735i | ||||
\(809\) | − | 14.6682i | − | 0.515708i | −0.966184 | − | 0.257854i | \(-0.916985\pi\) | ||
0.966184 | − | 0.257854i | \(-0.0830153\pi\) | |||||||
\(810\) | −12.3193 | − | 15.6073i | −0.432856 | − | 0.548386i | ||||
\(811\) | −28.5937 | − | 28.5937i | −1.00406 | − | 1.00406i | −0.999992 | − | 0.00406780i | \(-0.998705\pi\) |
−0.00406780 | − | 0.999992i | \(-0.501295\pi\) | |||||||
\(812\) | 1.15201 | + | 2.20643i | 0.0404275 | + | 0.0774306i | ||||
\(813\) | −2.20585 | + | 23.2111i | −0.0773625 | + | 0.814049i | ||||
\(814\) | 4.96838 | + | 18.5422i | 0.174141 | + | 0.649905i | ||||
\(815\) | 48.5787 | + | 28.0469i | 1.70164 | + | 0.982441i | ||||
\(816\) | −1.20648 | − | 7.15495i | −0.0422351 | − | 0.250473i | ||||
\(817\) | 1.23689 | + | 0.331425i | 0.0432734 | + | 0.0115951i | ||||
\(818\) | 40.3349 | 1.41028 | ||||||||
\(819\) | −28.6103 | − | 0.672971i | −0.999723 | − | 0.0235155i | ||||
\(820\) | −20.7322 | −0.724001 | ||||||||
\(821\) | 12.7264 | + | 3.41003i | 0.444155 | + | 0.119011i | 0.473963 | − | 0.880545i | \(-0.342823\pi\) |
−0.0298081 | + | 0.999556i | \(0.509490\pi\) | |||||||
\(822\) | −4.88055 | − | 28.9439i | −0.170229 | − | 1.00953i | ||||
\(823\) | 47.7479 | + | 27.5673i | 1.66439 | + | 0.960935i | 0.970581 | + | 0.240773i | \(0.0774010\pi\) |
0.693806 | + | 0.720162i | \(0.255932\pi\) | |||||||
\(824\) | 3.26529 | + | 12.1862i | 0.113752 | + | 0.424527i | ||||
\(825\) | −0.0412012 | + | 0.433540i | −0.00143444 | + | 0.0150939i | ||||
\(826\) | −37.7464 | − | 1.60209i | −1.31337 | − | 0.0557440i | ||||
\(827\) | −38.4155 | − | 38.4155i | −1.33584 | − | 1.33584i | −0.900048 | − | 0.435790i | \(-0.856469\pi\) |
−0.435790 | − | 0.900048i | \(-0.643531\pi\) | |||||||
\(828\) | −4.75168 | − | 13.6892i | −0.165132 | − | 0.475732i | ||||
\(829\) | 21.1061i | 0.733046i | 0.930409 | + | 0.366523i | \(0.119452\pi\) | ||||
−0.930409 | + | 0.366523i | \(0.880548\pi\) | |||||||
\(830\) | 16.2809 | + | 16.2809i | 0.565117 | + | 0.565117i | ||||
\(831\) | 1.80996 | − | 4.85938i | 0.0627870 | − | 0.168570i | ||||
\(832\) | 1.11774 | − | 3.42792i | 0.0387507 | − | 0.118842i | ||||
\(833\) | 16.7615 | − | 24.0621i | 0.580750 | − | 0.833702i | ||||
\(834\) | 0.0253101 | − | 0.0115725i | 0.000876419 | − | 0.000400724i | ||||
\(835\) | 7.47106 | + | 12.9403i | 0.258547 | + | 0.447816i | ||||
\(836\) | 0.503781 | − | 0.872574i | 0.0174236 | − | 0.0301786i | ||||
\(837\) | 22.4105 | − | 5.46878i | 0.774620 | − | 0.189029i | ||||
\(838\) | 11.3278 | + | 11.3278i | 0.391311 | + | 0.391311i | ||||
\(839\) | −7.06393 | + | 26.3630i | −0.243874 | + | 0.910151i | 0.730072 | + | 0.683370i | \(0.239487\pi\) |
−0.973946 | + | 0.226780i | \(0.927180\pi\) | |||||||
\(840\) | 9.32907 | + | 3.93291i | 0.321883 | + | 0.135698i | ||||
\(841\) | −14.0575 | − | 24.3482i | −0.484740 | − | 0.839595i | ||||
\(842\) | 9.97179 | + | 17.2716i | 0.343650 | + | 0.595220i | ||||
\(843\) | −11.0674 | + | 15.5567i | −0.381180 | + | 0.535803i | ||||
\(844\) | 11.9699 | − | 6.91083i | 0.412021 | − | 0.237880i | ||||
\(845\) | 10.3483 | − | 26.7916i | 0.355992 | − | 0.921658i | ||||
\(846\) | −11.9125 | + | 4.13498i | −0.409562 | + | 0.142164i | ||||
\(847\) | −0.733947 | + | 17.2923i | −0.0252187 | + | 0.594170i | ||||
\(848\) | 4.82321 | + | 2.78468i | 0.165630 | + | 0.0956263i | ||||
\(849\) | 9.53185 | − | 1.60727i | 0.327132 | − | 0.0551614i | ||||
\(850\) | 0.129113 | − | 0.481856i | 0.00442854 | − | 0.0165275i | ||||
\(851\) | −11.3656 | − | 42.4170i | −0.389608 | − | 1.45403i | ||||
\(852\) | 6.22338 | − | 8.74785i | 0.213209 | − | 0.299696i | ||||
\(853\) | 8.20742 | − | 8.20742i | 0.281017 | − | 0.281017i | −0.552498 | − | 0.833514i | \(-0.686325\pi\) |
0.833514 | + | 0.552498i | \(0.186325\pi\) | |||||||
\(854\) | 10.2055 | + | 3.20416i | 0.349226 | + | 0.109644i | ||||
\(855\) | −0.595754 | + | 3.10611i | −0.0203744 | + | 0.106227i | ||||
\(856\) | 0.529339 | + | 0.141836i | 0.0180924 | + | 0.00484785i | ||||
\(857\) | −17.4389 | − | 30.2051i | −0.595702 | − | 1.03179i | −0.993447 | − | 0.114290i | \(-0.963541\pi\) |
0.397745 | − | 0.917496i | \(-0.369793\pi\) | |||||||
\(858\) | 12.2675 | − | 4.83519i | 0.418807 | − | 0.165071i | ||||
\(859\) | −11.1504 | + | 19.3130i | −0.380445 | + | 0.658950i | −0.991126 | − | 0.132927i | \(-0.957563\pi\) |
0.610681 | + | 0.791877i | \(0.290896\pi\) | |||||||
\(860\) | −1.53442 | − | 5.72655i | −0.0523234 | − | 0.195274i | ||||
\(861\) | 39.8325 | − | 16.2074i | 1.35749 | − | 0.552347i | ||||
\(862\) | −27.4412 | + | 15.8432i | −0.934652 | + | 0.539622i | ||||
\(863\) | −9.89593 | − | 36.9321i | −0.336861 | − | 1.25718i | −0.901837 | − | 0.432076i | \(-0.857781\pi\) |
0.564976 | − | 0.825107i | \(-0.308885\pi\) | |||||||
\(864\) | −3.75579 | + | 3.59083i | −0.127774 | + | 0.122163i | ||||
\(865\) | 3.83906 | + | 14.3276i | 0.130532 | + | 0.487152i | ||||
\(866\) | 26.6016 | − | 7.12787i | 0.903959 | − | 0.242215i | ||||
\(867\) | −0.733811 | + | 0.606442i | −0.0249215 | + | 0.0205958i | ||||
\(868\) | −8.65019 | + | 7.94580i | −0.293607 | + | 0.269698i | ||||
\(869\) | 7.24433 | − | 1.94111i | 0.245747 | − | 0.0658478i | ||||
\(870\) | 3.37356 | + | 1.25654i | 0.114374 | + | 0.0426008i | ||||
\(871\) | 13.8671 | + | 27.2859i | 0.469870 | + | 0.924548i | ||||
\(872\) | −7.86536 | + | 4.54107i | −0.266355 | + | 0.153780i | ||||
\(873\) | −3.87148 | − | 53.4540i | −0.131030 | − | 1.80915i | ||||
\(874\) | −1.15244 | + | 1.99609i | −0.0389820 | + | 0.0675188i | ||||
\(875\) | 20.2419 | + | 22.0363i | 0.684300 | + | 0.744963i | ||||
\(876\) | 6.98644 | − | 9.82044i | 0.236050 | − | 0.331802i | ||||
\(877\) | 23.4505 | + | 23.4505i | 0.791868 | + | 0.791868i | 0.981798 | − | 0.189930i | \(-0.0608260\pi\) |
−0.189930 | + | 0.981798i | \(0.560826\pi\) | |||||||
\(878\) | −1.79483 | + | 0.480922i | −0.0605724 | + | 0.0162303i | ||||
\(879\) | −29.8659 | − | 2.83829i | −1.00735 | − | 0.0957330i | ||||
\(880\) | −4.66480 | −0.157250 | ||||||||
\(881\) | 14.7724 | − | 25.5866i | 0.497695 | − | 0.862034i | −0.502301 | − | 0.864693i | \(-0.667513\pi\) |
0.999996 | + | 0.00265902i | \(0.000846393\pi\) | |||||||
\(882\) | −20.9983 | − | 0.263252i | −0.707051 | − | 0.00886414i | ||||
\(883\) | − | 35.1158i | − | 1.18174i | −0.806767 | − | 0.590870i | \(-0.798785\pi\) | ||
0.806767 | − | 0.590870i | \(-0.201215\pi\) | |||||||
\(884\) | −14.7777 | + | 3.12503i | −0.497027 | + | 0.105106i | ||||
\(885\) | −42.1201 | + | 34.8092i | −1.41585 | + | 1.17010i | ||||
\(886\) | 22.1943 | + | 22.1943i | 0.745631 | + | 0.745631i | ||||
\(887\) | 23.9110 | − | 13.8050i | 0.802851 | − | 0.463527i | −0.0416158 | − | 0.999134i | \(-0.513251\pi\) |
0.844467 | + | 0.535607i | \(0.179917\pi\) | |||||||
\(888\) | −12.1383 | + | 10.0314i | −0.407334 | + | 0.336632i | ||||
\(889\) | −12.4965 | − | 7.93979i | −0.419118 | − | 0.266292i | ||||
\(890\) | −33.7090 | − | 9.03229i | −1.12993 | − | 0.302763i | ||||
\(891\) | −18.8727 | − | 2.22205i | −0.632260 | − | 0.0744415i | ||||
\(892\) | −4.03794 | − | 1.08196i | −0.135200 | − | 0.0362268i | ||||
\(893\) | 1.73703 | + | 1.00287i | 0.0581275 | + | 0.0335599i | ||||
\(894\) | −11.4762 | − | 13.8866i | −0.383823 | − | 0.464437i | ||||
\(895\) | 2.51374 | + | 9.38139i | 0.0840249 | + | 0.313585i | ||||
\(896\) | 0.792526 | − | 2.52426i | 0.0264764 | − | 0.0843297i | ||||
\(897\) | −28.0630 | + | 11.0609i | −0.936998 | + | 0.369314i | ||||
\(898\) | −2.47085 | + | 4.27963i | −0.0824532 | + | 0.142813i | ||||
\(899\) | −2.95327 | + | 2.95327i | −0.0984970 | + | 0.0984970i | ||||
\(900\) | −0.337487 | + | 0.117146i | −0.0112496 | + | 0.00390486i | ||||
\(901\) | − | 23.3313i | − | 0.777278i | ||||||
\(902\) | −14.0108 | + | 14.0108i | −0.466508 | + | 0.466508i | ||||
\(903\) | 7.42479 | + | 9.80280i | 0.247082 | + | 0.326217i | ||||
\(904\) | −6.43065 | − | 1.72309i | −0.213880 | − | 0.0573090i | ||||
\(905\) | 57.3564 | − | 15.3686i | 1.90659 | − | 0.510870i | ||||
\(906\) | 9.23931 | − | 24.8056i | 0.306955 | − | 0.824112i | ||||
\(907\) | − | 55.8542i | − | 1.85461i | −0.374309 | − | 0.927304i | \(-0.622120\pi\) | ||
0.374309 | − | 0.927304i | \(-0.377880\pi\) | |||||||
\(908\) | 2.92533 | − | 10.9175i | 0.0970805 | − | 0.362309i | ||||
\(909\) | 23.0976 | − | 8.01746i | 0.766100 | − | 0.265922i | ||||
\(910\) | 7.37723 | − | 19.7418i | 0.244553 | − | 0.654436i | ||||
\(911\) | − | 15.1436i | − | 0.501729i | −0.968022 | − | 0.250864i | \(-0.919285\pi\) | ||
0.968022 | − | 0.250864i | \(-0.0807148\pi\) | |||||||
\(912\) | 0.822808 | + | 0.0781949i | 0.0272459 | + | 0.00258929i | ||||
\(913\) | 22.0051 | 0.728263 | ||||||||
\(914\) | 1.02294 | − | 1.77178i | 0.0338358 | − | 0.0586053i | ||||
\(915\) | 14.0698 | − | 6.43313i | 0.465134 | − | 0.212673i | ||||
\(916\) | 0.512008 | − | 1.91084i | 0.0169172 | − | 0.0631359i | ||||
\(917\) | −2.91986 | − | 1.85517i | −0.0964224 | − | 0.0612632i | ||||
\(918\) | 20.8944 | + | 6.10450i | 0.689617 | + | 0.201479i | ||||
\(919\) | −2.67980 | −0.0883983 | −0.0441991 | − | 0.999023i | \(-0.514074\pi\) | ||||
−0.0441991 | + | 0.999023i | \(0.514074\pi\) | |||||||
\(920\) | 10.6711 | 0.351817 | ||||||||
\(921\) | −9.40598 | − | 6.69159i | −0.309938 | − | 0.220495i | ||||
\(922\) | −33.0175 | − | 19.0626i | −1.08737 | − | 0.627795i | ||||
\(923\) | −18.7301 | − | 12.1912i | −0.616507 | − | 0.401277i | ||||
\(924\) | 8.96240 | − | 3.64670i | 0.294841 | − | 0.119968i | ||||
\(925\) | −1.04573 | + | 0.280203i | −0.0343834 | + | 0.00921301i | ||||
\(926\) | 16.7120 | − | 9.64866i | 0.549189 | − | 0.317075i | ||||
\(927\) | −37.1708 | − | 7.12938i | −1.22085 | − | 0.234160i | ||||
\(928\) | 0.243492 | − | 0.908723i | 0.00799300 | − | 0.0298303i | ||||
\(929\) | −15.7180 | + | 15.7180i | −0.515691 | + | 0.515691i | −0.916265 | − | 0.400574i | \(-0.868811\pi\) |
0.400574 | + | 0.916265i | \(0.368811\pi\) | |||||||
\(930\) | −1.60720 | + | 16.9118i | −0.0527020 | + | 0.554559i | ||||
\(931\) | 2.15333 | + | 2.55361i | 0.0705725 | + | 0.0836911i | ||||
\(932\) | 14.4933 | − | 8.36770i | 0.474743 | − | 0.274093i | ||||
\(933\) | −23.1730 | + | 19.1508i | −0.758651 | + | 0.626970i | ||||
\(934\) | −6.97555 | + | 6.97555i | −0.228247 | + | 0.228247i | ||||
\(935\) | 9.77094 | + | 16.9238i | 0.319544 | + | 0.553466i | ||||
\(936\) | 7.79172 | + | 7.50261i | 0.254680 | + | 0.245231i | ||||
\(937\) | −51.8315 | −1.69326 | −0.846631 | − | 0.532180i | \(-0.821373\pi\) | ||||
−0.846631 | + | 0.532180i | \(0.821373\pi\) | |||||||
\(938\) | 10.3950 | + | 19.9094i | 0.339408 | + | 0.650066i | ||||
\(939\) | 2.27537 | + | 0.847502i | 0.0742538 | + | 0.0276572i | ||||
\(940\) | − | 9.28619i | − | 0.302882i | ||||||
\(941\) | −17.9196 | − | 4.80156i | −0.584164 | − | 0.156526i | −0.0453793 | − | 0.998970i | \(-0.514450\pi\) |
−0.538785 | + | 0.842444i | \(0.681116\pi\) | |||||||
\(942\) | −32.9451 | + | 15.0635i | −1.07341 | + | 0.490794i | ||||
\(943\) | 32.0509 | − | 32.0509i | 1.04372 | − | 1.04372i | ||||
\(944\) | 10.0972 | + | 10.0972i | 0.328637 | + | 0.328637i | ||||
\(945\) | −22.8237 | + | 20.0393i | −0.742454 | + | 0.651879i | ||||
\(946\) | −4.90694 | − | 2.83302i | −0.159538 | − | 0.0921095i | ||||
\(947\) | −2.37156 | + | 8.85078i | −0.0770654 | + | 0.287612i | −0.993694 | − | 0.112129i | \(-0.964233\pi\) |
0.916628 | + | 0.399741i | \(0.130900\pi\) | |||||||
\(948\) | 3.91921 | + | 4.74235i | 0.127290 | + | 0.154024i | ||||
\(949\) | −21.0266 | − | 13.6859i | −0.682552 | − | 0.444264i | ||||
\(950\) | 0.0492108 | + | 0.0284119i | 0.00159661 | + | 0.000921803i | ||||
\(951\) | 40.3476 | − | 18.4481i | 1.30836 | − | 0.598220i | ||||
\(952\) | −10.8180 | + | 2.41209i | −0.350613 | + | 0.0781762i | ||||
\(953\) | −17.2880 | − | 29.9437i | −0.560013 | − | 0.969972i | −0.997495 | − | 0.0707440i | \(-0.977463\pi\) |
0.437481 | − | 0.899228i | \(-0.355871\pi\) | |||||||
\(954\) | −13.8283 | + | 9.37746i | −0.447709 | + | 0.303606i | ||||
\(955\) | 10.2746 | − | 2.75308i | 0.332479 | − | 0.0890875i | ||||
\(956\) | 14.8439 | − | 3.97740i | 0.480085 | − | 0.128638i | ||||
\(957\) | 3.12901 | − | 1.43067i | 0.101146 | − | 0.0462471i | ||||
\(958\) | 7.84311 | + | 13.5847i | 0.253399 | + | 0.438901i | ||||
\(959\) | −43.7620 | + | 9.75761i | −1.41315 | + | 0.315090i | ||||
\(960\) | −1.59119 | − | 3.48007i | −0.0513554 | − | 0.112319i | ||||
\(961\) | 9.77847 | + | 5.64560i | 0.315435 | + | 0.182116i | ||||
\(962\) | 21.9087 | + | 24.3830i | 0.706365 | + | 0.786141i | ||||
\(963\) | −1.07550 | + | 1.24345i | −0.0346574 | + | 0.0400696i | ||||
\(964\) | 7.04677 | − | 26.2989i | 0.226961 | − | 0.847030i | ||||
\(965\) | 1.60910 | + | 0.929014i | 0.0517987 | + | 0.0299060i | ||||
\(966\) | −20.5023 | + | 8.34215i | −0.659650 | + | 0.268404i | ||||
\(967\) | 9.72642 | + | 9.72642i | 0.312781 | + | 0.312781i | 0.845986 | − | 0.533205i | \(-0.179013\pi\) |
−0.533205 | + | 0.845986i | \(0.679013\pi\) | |||||||
\(968\) | 4.62572 | − | 4.62572i | 0.148676 | − | 0.148676i | ||||
\(969\) | −1.43977 | − | 3.14892i | −0.0462522 | − | 0.101158i | ||||
\(970\) | 38.1233 | + | 10.2151i | 1.22406 | + | 0.327987i | ||||
\(971\) | 9.20017i | 0.295248i | 0.989044 | + | 0.147624i | \(0.0471625\pi\) | ||||
−0.989044 | + | 0.147624i | \(0.952838\pi\) | |||||||
\(972\) | −4.77988 | − | 14.8375i | −0.153315 | − | 0.475914i | ||||
\(973\) | −0.0196754 | − | 0.0376843i | −0.000630766 | − | 0.00120810i | ||||
\(974\) | −36.5092 | −1.16983 | ||||||||
\(975\) | 0.272692 | + | 0.691855i | 0.00873312 | + | 0.0221571i | ||||
\(976\) | −2.02149 | − | 3.50132i | −0.0647062 | − | 0.112074i | ||||
\(977\) | −32.1789 | + | 32.1789i | −1.02949 | + | 1.02949i | −0.0299419 | + | 0.999552i | \(0.509532\pi\) |
−0.999552 | + | 0.0299419i | \(0.990468\pi\) | |||||||
\(978\) | 28.0150 | + | 33.8989i | 0.895819 | + | 1.08397i | ||||
\(979\) | −28.8844 | + | 16.6764i | −0.923149 | + | 0.532980i | ||||
\(980\) | 5.25400 | − | 14.5451i | 0.167833 | − | 0.464627i | ||||
\(981\) | −1.96820 | − | 27.1752i | −0.0628399 | − | 0.867638i | ||||
\(982\) | 23.0029 | − | 23.0029i | 0.734053 | − | 0.734053i | ||||
\(983\) | 0.406277 | − | 1.51625i | 0.0129582 | − | 0.0483607i | −0.959144 | − | 0.282918i | \(-0.908697\pi\) |
0.972102 | + | 0.234558i | \(0.0753641\pi\) | |||||||
\(984\) | −15.2316 | − | 5.67328i | −0.485565 | − | 0.180857i | ||||
\(985\) | −27.1745 | + | 15.6892i | −0.865851 | + | 0.499899i | ||||
\(986\) | −3.80685 | + | 1.02004i | −0.121235 | + | 0.0324847i | ||||
\(987\) | 7.25947 | + | 17.8414i | 0.231072 | + | 0.567898i | ||||
\(988\) | 0.0918320 | − | 1.71808i | 0.00292157 | − | 0.0546593i | ||||
\(989\) | 11.2251 | + | 6.48079i | 0.356936 | + | 0.206077i | ||||
\(990\) | 6.10343 | − | 12.5933i | 0.193980 | − | 0.400241i | ||||
\(991\) | 7.94584 | 0.252408 | 0.126204 | − | 0.992004i | \(-0.459721\pi\) | ||||
0.126204 | + | 0.992004i | \(0.459721\pi\) | |||||||
\(992\) | 4.43946 | 0.140953 | ||||||||
\(993\) | −4.52420 | + | 6.35940i | −0.143571 | + | 0.201810i | ||||
\(994\) | −13.8415 | − | 8.79439i | −0.439026 | − | 0.278941i | ||||
\(995\) | 4.08630 | − | 15.2503i | 0.129545 | − | 0.483467i | ||||
\(996\) | 7.50607 | + | 16.4164i | 0.237839 | + | 0.520175i | ||||
\(997\) | −28.6071 | + | 49.5489i | −0.905996 | + | 1.56923i | −0.0864205 | + | 0.996259i | \(0.527543\pi\) |
−0.819575 | + | 0.572972i | \(0.805790\pi\) | |||||||
\(998\) | 34.2797 | 1.08510 | ||||||||
\(999\) | −11.1995 | − | 45.8942i | −0.354335 | − | 1.45203i |
(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 | 546.2.bw.a.527.28 | yes | 152 | |
3.2 | odd | 2 | inner | 546.2.bw.a.527.9 | yes | 152 | |
7.4 | even | 3 | 546.2.ch.a.137.5 | yes | 152 | ||
13.2 | odd | 12 | 546.2.ch.a.275.36 | yes | 152 | ||
21.11 | odd | 6 | 546.2.ch.a.137.36 | yes | 152 | ||
39.2 | even | 12 | 546.2.ch.a.275.5 | yes | 152 | ||
91.67 | odd | 12 | inner | 546.2.bw.a.431.9 | ✓ | 152 | |
273.158 | even | 12 | inner | 546.2.bw.a.431.28 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bw.a.431.9 | ✓ | 152 | 91.67 | odd | 12 | inner | |
546.2.bw.a.431.28 | yes | 152 | 273.158 | even | 12 | inner | |
546.2.bw.a.527.9 | yes | 152 | 3.2 | odd | 2 | inner | |
546.2.bw.a.527.28 | yes | 152 | 1.1 | even | 1 | trivial | |
546.2.ch.a.137.5 | yes | 152 | 7.4 | even | 3 | ||
546.2.ch.a.137.36 | yes | 152 | 21.11 | odd | 6 | ||
546.2.ch.a.275.5 | yes | 152 | 39.2 | even | 12 | ||
546.2.ch.a.275.36 | yes | 152 | 13.2 | odd | 12 |