Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(370,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.370");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.fm (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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 748.4 | ||
Character | \(\chi\) | \(=\) | 819.748 |
Dual form | 819.2.fm.e.496.4 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.604240 | + | 0.161906i | −0.427262 | + | 0.114484i | −0.466041 | − | 0.884763i | \(-0.654320\pi\) |
0.0387787 | + | 0.999248i | \(0.487653\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.39316 | + | 0.804341i | −0.696579 | + | 0.402170i | ||||
\(5\) | −0.965431 | + | 0.965431i | −0.431754 | + | 0.431754i | −0.889225 | − | 0.457471i | \(-0.848755\pi\) |
0.457471 | + | 0.889225i | \(0.348755\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.12303 | + | 1.57884i | 0.802430 | + | 0.596746i | ||||
\(8\) | 1.59624 | − | 1.59624i | 0.564357 | − | 0.564357i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.427043 | − | 0.739660i | 0.135043 | − | 0.233901i | ||||
\(11\) | −1.26706 | − | 4.72873i | −0.382033 | − | 1.42577i | −0.842791 | − | 0.538240i | \(-0.819089\pi\) |
0.460759 | − | 0.887525i | \(-0.347577\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.35196 | − | 3.34249i | 0.374966 | − | 0.927039i | ||||
\(14\) | −1.53844 | − | 0.610269i | −0.411166 | − | 0.163101i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.902609 | − | 1.56336i | 0.225652 | − | 0.390841i | ||||
\(17\) | 2.72530 | + | 4.72035i | 0.660981 | + | 1.14485i | 0.980358 | + | 0.197225i | \(0.0631931\pi\) |
−0.319377 | + | 0.947628i | \(0.603474\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.47375 | + | 1.19874i | 1.02635 | + | 0.275010i | 0.732446 | − | 0.680825i | \(-0.238379\pi\) |
0.293904 | + | 0.955835i | \(0.405045\pi\) | |||||||
\(20\) | 0.568463 | − | 2.12153i | 0.127112 | − | 0.474389i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.53121 | + | 2.65214i | 0.326456 | + | 0.565439i | ||||
\(23\) | 3.14262 | + | 1.81439i | 0.655282 | + | 0.378327i | 0.790477 | − | 0.612492i | \(-0.209833\pi\) |
−0.135195 | + | 0.990819i | \(0.543166\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.13589i | 0.627177i | ||||||||
\(26\) | −0.275740 | + | 2.23855i | −0.0540771 | + | 0.439016i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.22764 | − | 0.491938i | −0.798950 | − | 0.0929676i | ||||
\(29\) | −1.00956 | + | 1.74861i | −0.187471 | + | 0.324710i | −0.944406 | − | 0.328780i | \(-0.893362\pi\) |
0.756935 | + | 0.653490i | \(0.226696\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.91069 | + | 5.91069i | −1.06159 | + | 1.06159i | −0.0636160 | + | 0.997974i | \(0.520263\pi\) |
−0.997974 | + | 0.0636160i | \(0.979737\pi\) | |||||||
\(32\) | −1.46081 | + | 5.45180i | −0.258236 | + | 0.963751i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.41098 | − | 2.41098i | −0.413480 | − | 0.413480i | ||||
\(35\) | −3.57390 | + | 0.525376i | −0.604100 | + | 0.0888048i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.84395 | − | 10.6138i | −0.467543 | − | 1.74489i | −0.648317 | − | 0.761370i | \(-0.724527\pi\) |
0.180774 | − | 0.983525i | \(-0.442140\pi\) | |||||||
\(38\) | −2.89730 | −0.470004 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.08212i | 0.487327i | ||||||||
\(41\) | 1.08400 | + | 4.04553i | 0.169292 | + | 0.631806i | 0.997454 | + | 0.0713169i | \(0.0227201\pi\) |
−0.828162 | + | 0.560489i | \(0.810613\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.669160 | + | 0.386339i | −0.102046 | + | 0.0589162i | −0.550154 | − | 0.835063i | \(-0.685431\pi\) |
0.448109 | + | 0.893979i | \(0.352098\pi\) | |||||||
\(44\) | 5.56872 | + | 5.56872i | 0.839517 | + | 0.839517i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.19266 | − | 0.587521i | −0.323290 | − | 0.0866252i | ||||
\(47\) | 5.65938 | + | 5.65938i | 0.825506 | + | 0.825506i | 0.986891 | − | 0.161386i | \(-0.0515964\pi\) |
−0.161386 | + | 0.986891i | \(0.551596\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.01452 | + | 6.70386i | 0.287788 | + | 0.957694i | ||||
\(50\) | −0.507717 | − | 1.89483i | −0.0718021 | − | 0.267969i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.805003 | + | 5.74405i | 0.111634 | + | 0.796556i | ||||
\(53\) | 6.72661 | 0.923971 | 0.461986 | − | 0.886887i | \(-0.347137\pi\) | ||||
0.461986 | + | 0.886887i | \(0.347137\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.78852 | + | 3.34200i | 0.780524 | + | 0.450636i | ||||
\(56\) | 5.90909 | − | 0.868657i | 0.789635 | − | 0.116079i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.326908 | − | 1.22004i | 0.0429251 | − | 0.160199i | ||||
\(59\) | −3.87661 | + | 14.4677i | −0.504692 | + | 1.88354i | −0.0376705 | + | 0.999290i | \(0.511994\pi\) |
−0.467022 | + | 0.884246i | \(0.654673\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.210912 | − | 0.121770i | 0.0270046 | − | 0.0155911i | −0.486437 | − | 0.873716i | \(-0.661704\pi\) |
0.513442 | + | 0.858125i | \(0.328370\pi\) | |||||||
\(62\) | 2.61450 | − | 4.52844i | 0.332042 | − | 0.575113i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.0797289i | 0.00996611i | ||||||||
\(65\) | 1.92172 | + | 4.53216i | 0.238360 | + | 0.562146i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.55533 | − | 1.48855i | 0.678691 | − | 0.181855i | 0.0970245 | − | 0.995282i | \(-0.469067\pi\) |
0.581667 | + | 0.813427i | \(0.302401\pi\) | |||||||
\(68\) | −7.59354 | − | 4.38413i | −0.920852 | − | 0.531654i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.07443 | − | 0.896088i | 0.247942 | − | 0.107103i | ||||
\(71\) | 0.711167 | − | 2.65411i | 0.0844000 | − | 0.314985i | −0.910800 | − | 0.412848i | \(-0.864534\pi\) |
0.995200 | + | 0.0978630i | \(0.0312007\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.17212 | + | 2.17212i | 0.254228 | + | 0.254228i | 0.822701 | − | 0.568474i | \(-0.192466\pi\) |
−0.568474 | + | 0.822701i | \(0.692466\pi\) | |||||||
\(74\) | 3.43686 | + | 5.95281i | 0.399527 | + | 0.692001i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.19684 | + | 1.92839i | −0.825535 | + | 0.221201i | ||||
\(77\) | 4.77591 | − | 12.0397i | 0.544266 | − | 1.37205i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.38955 | 0.943898 | 0.471949 | − | 0.881626i | \(-0.343551\pi\) | ||||
0.471949 | + | 0.881626i | \(0.343551\pi\) | |||||||
\(80\) | 0.637914 | + | 2.38073i | 0.0713209 | + | 0.266173i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.30999 | − | 2.26897i | −0.144664 | − | 0.250565i | ||||
\(83\) | 11.2487 | − | 11.2487i | 1.23470 | − | 1.23470i | 0.272563 | − | 0.962138i | \(-0.412129\pi\) |
0.962138 | − | 0.272563i | \(-0.0878713\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.18826 | − | 1.92609i | −0.779676 | − | 0.208914i | ||||
\(86\) | 0.341782 | − | 0.341782i | 0.0368553 | − | 0.0368553i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −9.57073 | − | 5.52567i | −1.02024 | − | 0.589038i | ||||
\(89\) | −3.25716 | + | 0.872754i | −0.345259 | + | 0.0925118i | −0.427281 | − | 0.904119i | \(-0.640529\pi\) |
0.0820228 | + | 0.996630i | \(0.473862\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.14751 | − | 4.96167i | 0.854091 | − | 0.520124i | ||||
\(92\) | −5.83756 | −0.608608 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.33591 | − | 2.50334i | −0.447215 | − | 0.258200i | ||||
\(95\) | −5.47640 | + | 3.16180i | −0.561867 | + | 0.324394i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.46128 | + | 2.53514i | 0.960648 | + | 0.257405i | 0.704874 | − | 0.709332i | \(-0.251003\pi\) |
0.255773 | + | 0.966737i | \(0.417670\pi\) | |||||||
\(98\) | −2.30264 | − | 3.72458i | −0.232602 | − | 0.376239i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.52232 | − | 4.36879i | −0.252232 | − | 0.436879i | ||||
\(101\) | 1.30615 | − | 2.26231i | 0.129966 | − | 0.225108i | −0.793697 | − | 0.608313i | \(-0.791846\pi\) |
0.923663 | + | 0.383205i | \(0.125180\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −16.7503 | −1.65046 | −0.825230 | − | 0.564797i | \(-0.808954\pi\) | ||||
−0.825230 | + | 0.564797i | \(0.808954\pi\) | |||||||
\(104\) | −3.17736 | − | 7.49347i | −0.311566 | − | 0.734795i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.06449 | + | 1.08908i | −0.394778 | + | 0.105780i | ||||
\(107\) | −5.79246 | + | 10.0328i | −0.559978 | + | 0.969910i | 0.437520 | + | 0.899209i | \(0.355857\pi\) |
−0.997498 | + | 0.0707014i | \(0.977476\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.99577 | + | 3.99577i | 0.382725 | + | 0.382725i | 0.872083 | − | 0.489358i | \(-0.162769\pi\) |
−0.489358 | + | 0.872083i | \(0.662769\pi\) | |||||||
\(110\) | −4.03874 | − | 1.08218i | −0.385079 | − | 0.103182i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.38457 | − | 1.89399i | 0.414303 | − | 0.178965i | ||||
\(113\) | −1.65445 | − | 2.86558i | −0.155637 | − | 0.269571i | 0.777654 | − | 0.628693i | \(-0.216410\pi\) |
−0.933291 | + | 0.359121i | \(0.883076\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.78566 | + | 1.28231i | −0.446265 | + | 0.119576i | ||||
\(116\) | − | 3.24813i | − | 0.301581i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 9.36961i | − | 0.862543i | ||||||
\(119\) | −1.66680 | + | 14.3243i | −0.152796 | + | 1.31310i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −11.2292 | + | 6.48316i | −1.02083 | + | 0.589378i | ||||
\(122\) | −0.107726 | + | 0.107726i | −0.00975309 | + | 0.00975309i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.48032 | − | 12.9887i | 0.312542 | − | 1.16642i | ||||
\(125\) | −7.85464 | − | 7.85464i | −0.702540 | − | 0.702540i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 15.4911 | + | 8.94379i | 1.37461 | + | 0.793633i | 0.991505 | − | 0.130071i | \(-0.0415205\pi\) |
0.383108 | + | 0.923704i | \(0.374854\pi\) | |||||||
\(128\) | −2.93452 | − | 10.9518i | −0.259377 | − | 0.968009i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.89496 | − | 2.42738i | −0.166199 | − | 0.212895i | ||||
\(131\) | − | 15.3940i | − | 1.34498i | −0.740107 | − | 0.672489i | \(-0.765225\pi\) | ||
0.740107 | − | 0.672489i | \(-0.234775\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.60530 | + | 9.60831i | 0.659463 | + | 0.833146i | ||||
\(134\) | −3.11574 | + | 1.79888i | −0.269159 | + | 0.155399i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 11.8851 | + | 3.18459i | 1.01914 | + | 0.273077i | ||||
\(137\) | 2.08965 | + | 0.559921i | 0.178531 | + | 0.0478373i | 0.346977 | − | 0.937874i | \(-0.387208\pi\) |
−0.168446 | + | 0.985711i | \(0.553875\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.11782 | − | 0.645374i | 0.0948124 | − | 0.0547399i | −0.451844 | − | 0.892097i | \(-0.649234\pi\) |
0.546657 | + | 0.837357i | \(0.315900\pi\) | |||||||
\(140\) | 4.55643 | − | 3.60657i | 0.385089 | − | 0.304811i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.71886i | 0.144244i | ||||||||
\(143\) | −17.5187 | − | 2.15792i | −1.46499 | − | 0.180454i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.713503 | − | 2.66283i | −0.0592532 | − | 0.221136i | ||||
\(146\) | −1.66416 | − | 0.960803i | −0.137727 | − | 0.0795166i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 12.4992 | + | 12.4992i | 1.02743 | + | 1.02743i | ||||
\(149\) | 0.326352 | − | 1.21796i | 0.0267358 | − | 0.0997793i | −0.951269 | − | 0.308363i | \(-0.900219\pi\) |
0.978004 | + | 0.208584i | \(0.0668854\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.35713 | − | 5.35713i | 0.435957 | − | 0.435957i | −0.454692 | − | 0.890649i | \(-0.650251\pi\) |
0.890649 | + | 0.454692i | \(0.150251\pi\) | |||||||
\(152\) | 9.05468 | − | 5.22772i | 0.734431 | − | 0.424024i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.936497 | + | 8.04812i | −0.0754651 | + | 0.648536i | ||||
\(155\) | − | 11.4127i | − | 0.916692i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.45263i | 0.594785i | 0.954755 | + | 0.297392i | \(0.0961169\pi\) | ||||
−0.954755 | + | 0.297392i | \(0.903883\pi\) | |||||||
\(158\) | −5.06930 | + | 1.35831i | −0.403292 | + | 0.108062i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.85303 | − | 6.67364i | −0.304609 | − | 0.527598i | ||||
\(161\) | 3.80724 | + | 8.81372i | 0.300053 | + | 0.694618i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.3293 | − | 3.03568i | −0.887379 | − | 0.237773i | −0.213791 | − | 0.976879i | \(-0.568581\pi\) |
−0.673588 | + | 0.739107i | \(0.735248\pi\) | |||||||
\(164\) | −4.76417 | − | 4.76417i | −0.372019 | − | 0.372019i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.97567 | + | 8.61811i | −0.386187 | + | 0.668895i | ||||
\(167\) | 6.94320 | − | 1.86042i | 0.537281 | − | 0.143964i | 0.0200325 | − | 0.999799i | \(-0.493623\pi\) |
0.517248 | + | 0.855835i | \(0.326956\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.34441 | − | 9.03780i | −0.718801 | − | 0.695216i | ||||
\(170\) | 4.65527 | 0.357043 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.621497 | − | 1.07646i | 0.0473887 | − | 0.0820796i | ||||
\(173\) | 7.63293 | + | 13.2206i | 0.580321 | + | 1.00515i | 0.995441 | + | 0.0953789i | \(0.0304063\pi\) |
−0.415120 | + | 0.909767i | \(0.636260\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.95107 | + | 6.65758i | −0.374266 | + | 0.503266i | ||||
\(176\) | −8.53638 | − | 2.28732i | −0.643454 | − | 0.172413i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.82680 | − | 1.05471i | 0.136925 | − | 0.0790535i | ||||
\(179\) | −19.5943 | − | 11.3128i | −1.46455 | − | 0.845557i | −0.465330 | − | 0.885137i | \(-0.654065\pi\) |
−0.999216 | + | 0.0395805i | \(0.987398\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.46318 | −0.108758 | −0.0543788 | − | 0.998520i | \(-0.517318\pi\) | ||||
−0.0543788 | + | 0.998520i | \(0.517318\pi\) | |||||||
\(182\) | −4.11972 | + | 4.31716i | −0.305374 | + | 0.320009i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.91260 | − | 2.12018i | 0.583325 | − | 0.156301i | ||||
\(185\) | 12.9925 | + | 7.50123i | 0.955229 | + | 0.551502i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 18.8682 | − | 18.8682i | 1.37978 | − | 1.37978i | ||||
\(188\) | −12.4365 | − | 3.33235i | −0.907024 | − | 0.243036i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.79715 | − | 2.79715i | 0.202926 | − | 0.202926i | ||||
\(191\) | 2.07125 | + | 3.58751i | 0.149870 | + | 0.259583i | 0.931179 | − | 0.364561i | \(-0.118781\pi\) |
−0.781309 | + | 0.624144i | \(0.785448\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.316568 | + | 1.18145i | 0.0227871 | + | 0.0850425i | 0.976383 | − | 0.216047i | \(-0.0693164\pi\) |
−0.953596 | + | 0.301089i | \(0.902650\pi\) | |||||||
\(194\) | −6.12733 | −0.439917 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.19873 | − | 7.71918i | −0.585623 | − | 0.551370i | ||||
\(197\) | 11.1850 | − | 2.99702i | 0.796901 | − | 0.213529i | 0.162678 | − | 0.986679i | \(-0.447987\pi\) |
0.634223 | + | 0.773150i | \(0.281320\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.08128 | + | 1.87283i | 0.0766498 | + | 0.132761i | 0.901803 | − | 0.432148i | \(-0.142244\pi\) |
−0.825153 | + | 0.564910i | \(0.808911\pi\) | |||||||
\(200\) | 5.00563 | + | 5.00563i | 0.353952 | + | 0.353952i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.422944 | + | 1.57845i | −0.0297583 | + | 0.111059i | ||||
\(203\) | −4.90412 | + | 2.11842i | −0.344202 | + | 0.148684i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.95221 | − | 2.85916i | −0.345877 | − | 0.199692i | ||||
\(206\) | 10.1212 | − | 2.71197i | 0.705179 | − | 0.188952i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.00523 | − | 5.13056i | −0.277713 | − | 0.355740i | ||||
\(209\) | − | 22.6741i | − | 1.56840i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.04131 | + | 15.6600i | −0.622429 | + | 1.07808i | 0.366603 | + | 0.930378i | \(0.380521\pi\) |
−0.989032 | + | 0.147701i | \(0.952813\pi\) | |||||||
\(212\) | −9.37124 | + | 5.41049i | −0.643619 | + | 0.371594i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.87566 | − | 7.00006i | 0.128218 | − | 0.478515i | ||||
\(215\) | 0.273043 | − | 1.01901i | 0.0186214 | − | 0.0694960i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −21.8806 | + | 3.21653i | −1.48535 | + | 0.218352i | ||||
\(218\) | −3.06134 | − | 1.76746i | −0.207340 | − | 0.119708i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −10.7524 | −0.724929 | ||||||||
\(221\) | 19.4622 | − | 2.72754i | 1.30917 | − | 0.183474i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.56628 | − | 20.7736i | −0.372746 | − | 1.39111i | −0.856611 | − | 0.515963i | \(-0.827434\pi\) |
0.483865 | − | 0.875142i | \(-0.339232\pi\) | |||||||
\(224\) | −11.7089 | + | 9.26796i | −0.782331 | + | 0.619241i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.46363 | + | 1.46363i | 0.0973595 | + | 0.0973595i | ||||
\(227\) | −2.73398 | − | 0.732566i | −0.181460 | − | 0.0486221i | 0.166945 | − | 0.985966i | \(-0.446610\pi\) |
−0.348405 | + | 0.937344i | \(0.613277\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.121782 | − | 0.121782i | −0.00804759 | − | 0.00804759i | 0.703072 | − | 0.711119i | \(-0.251811\pi\) |
−0.711119 | + | 0.703072i | \(0.751811\pi\) | |||||||
\(230\) | 2.68407 | − | 1.54965i | 0.176982 | − | 0.102181i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.17971 | + | 4.40272i | 0.0774514 | + | 0.289053i | ||||
\(233\) | 8.72869i | 0.571835i | 0.958254 | + | 0.285918i | \(0.0922984\pi\) | ||||
−0.958254 | + | 0.285918i | \(0.907702\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.9275 | −0.712830 | ||||||||
\(236\) | −6.23623 | − | 23.2739i | −0.405944 | − | 1.51500i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.31203 | − | 8.92515i | −0.0850462 | − | 0.578532i | ||||
\(239\) | 15.9007 | + | 15.9007i | 1.02853 | + | 1.02853i | 0.999581 | + | 0.0289485i | \(0.00921587\pi\) |
0.0289485 | + | 0.999581i | \(0.490784\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.48430 | − | 9.27155i | 0.160028 | − | 0.597233i | −0.838594 | − | 0.544757i | \(-0.816622\pi\) |
0.998622 | − | 0.0524761i | \(-0.0167113\pi\) | |||||||
\(242\) | 5.73545 | − | 5.73545i | 0.368689 | − | 0.368689i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.195890 | + | 0.339291i | −0.0125406 | + | 0.0217209i | ||||
\(245\) | −8.41699 | − | 4.52724i | −0.537742 | − | 0.289235i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.0551 | − | 13.3328i | 0.639791 | − | 0.848347i | ||||
\(248\) | 18.8698i | 1.19823i | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.01779 | + | 3.47437i | 0.380599 | + | 0.219739i | ||||
\(251\) | −2.87929 | − | 4.98708i | −0.181739 | − | 0.314782i | 0.760734 | − | 0.649064i | \(-0.224839\pi\) |
−0.942473 | + | 0.334282i | \(0.891506\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.59789 | − | 17.1596i | 0.289067 | − | 1.07881i | ||||
\(254\) | −10.8084 | − | 2.89610i | −0.678178 | − | 0.181717i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.46658 | + | 6.00429i | 0.216661 | + | 0.375268i | ||||
\(257\) | 11.1749 | − | 19.3555i | 0.697071 | − | 1.20736i | −0.272406 | − | 0.962182i | \(-0.587819\pi\) |
0.969477 | − | 0.245181i | \(-0.0788473\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.7197 | − | 27.0235i | 0.666089 | − | 1.67916i | ||||
\(260\) | −6.32266 | − | 4.76831i | −0.392115 | − | 0.295718i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.49237 | + | 9.30166i | 0.153979 | + | 0.574658i | ||||
\(263\) | −8.93301 | + | 15.4724i | −0.550833 | + | 0.954071i | 0.447382 | + | 0.894343i | \(0.352357\pi\) |
−0.998215 | + | 0.0597277i | \(0.980977\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.49408 | + | 6.49408i | −0.398928 | + | 0.398928i | ||||
\(266\) | −6.15106 | − | 4.57438i | −0.377146 | − | 0.280473i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.54216 | + | 6.54216i | −0.399626 | + | 0.399626i | ||||
\(269\) | 7.06977 | − | 4.08173i | 0.431051 | − | 0.248868i | −0.268743 | − | 0.963212i | \(-0.586608\pi\) |
0.699794 | + | 0.714344i | \(0.253275\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 17.9820 | − | 4.81826i | 1.09233 | − | 0.292688i | 0.332691 | − | 0.943036i | \(-0.392044\pi\) |
0.759637 | + | 0.650348i | \(0.225377\pi\) | |||||||
\(272\) | 9.83950 | 0.596607 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.35331 | −0.0817562 | ||||||||
\(275\) | 14.8288 | − | 3.97335i | 0.894208 | − | 0.239602i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.63889 | + | 2.67826i | −0.278724 | + | 0.160921i | −0.632846 | − | 0.774278i | \(-0.718113\pi\) |
0.354122 | + | 0.935199i | \(0.384780\pi\) | |||||||
\(278\) | −0.570942 | + | 0.570942i | −0.0342428 | + | 0.0342428i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.86619 | + | 6.54344i | −0.290810 | + | 0.391046i | ||||
\(281\) | 11.1684 | − | 11.1684i | 0.666249 | − | 0.666249i | −0.290597 | − | 0.956846i | \(-0.593854\pi\) |
0.956846 | + | 0.290597i | \(0.0938539\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.7122 | + | 18.5541i | −0.636775 | + | 1.10293i | 0.349361 | + | 0.936988i | \(0.386399\pi\) |
−0.986136 | + | 0.165938i | \(0.946935\pi\) | |||||||
\(284\) | 1.14404 | + | 4.26962i | 0.0678863 | + | 0.253355i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 10.9349 | − | 1.53248i | 0.646593 | − | 0.0906172i | ||||
\(287\) | −4.08590 | + | 10.3002i | −0.241183 | + | 0.608004i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.35448 | + | 11.0063i | −0.373793 | + | 0.647428i | ||||
\(290\) | 0.862254 | + | 1.49347i | 0.0506333 | + | 0.0876994i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.77324 | − | 1.27898i | −0.279332 | − | 0.0748469i | ||||
\(293\) | 1.33426 | − | 4.97953i | 0.0779484 | − | 0.290907i | −0.915937 | − | 0.401321i | \(-0.868551\pi\) |
0.993886 | + | 0.110414i | \(0.0352177\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.2250 | − | 17.7102i | −0.595321 | − | 1.03113i | ||||
\(296\) | −21.4818 | − | 12.4025i | −1.24860 | − | 0.720882i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.788779i | 0.0456927i | ||||||||
\(299\) | 10.3133 | − | 8.05119i | 0.596433 | − | 0.465612i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.03061 | − | 0.236287i | −0.117043 | − | 0.0136193i | ||||
\(302\) | −2.36964 | + | 4.10434i | −0.136357 | + | 0.236178i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.91212 | − | 5.91212i | 0.339083 | − | 0.339083i | ||||
\(305\) | −0.0860606 | + | 0.321182i | −0.00492781 | + | 0.0183908i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −17.9644 | − | 17.9644i | −1.02528 | − | 1.02528i | −0.999672 | − | 0.0256108i | \(-0.991847\pi\) |
−0.0256108 | − | 0.999672i | \(-0.508153\pi\) | |||||||
\(308\) | 3.03043 | + | 20.6147i | 0.172675 | + | 1.17463i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.84778 | + | 6.89602i | 0.104947 | + | 0.391667i | ||||
\(311\) | −7.22402 | −0.409637 | −0.204818 | − | 0.978800i | \(-0.565660\pi\) | ||||
−0.204818 | + | 0.978800i | \(0.565660\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.9613i | 1.18480i | 0.805643 | + | 0.592401i | \(0.201820\pi\) | ||||
−0.805643 | + | 0.592401i | \(0.798180\pi\) | |||||||
\(314\) | −1.20662 | − | 4.50318i | −0.0680936 | − | 0.254129i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.6880 | + | 6.74806i | −0.657500 | + | 0.379608i | ||||
\(317\) | −0.207227 | − | 0.207227i | −0.0116390 | − | 0.0116390i | 0.701263 | − | 0.712902i | \(-0.252620\pi\) |
−0.712902 | + | 0.701263i | \(0.752620\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.54790 | + | 2.55835i | 0.534580 | + | 0.143240i | ||||
\(320\) | −0.0769727 | − | 0.0769727i | −0.00430291 | − | 0.00430291i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.72748 | − | 4.70919i | −0.207724 | − | 0.262433i | ||||
\(323\) | 6.53384 | + | 24.3846i | 0.363552 | + | 1.35680i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.4817 | + | 4.23959i | 0.581417 | + | 0.235170i | ||||
\(326\) | 7.33711 | 0.406365 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 8.18797 | + | 4.72733i | 0.452105 | + | 0.261023i | ||||
\(329\) | 3.07977 | + | 20.9503i | 0.169793 | + | 1.15503i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.35420 | + | 12.5180i | −0.184363 | + | 0.688054i | 0.810403 | + | 0.585873i | \(0.199248\pi\) |
−0.994766 | + | 0.102180i | \(0.967418\pi\) | |||||||
\(332\) | −6.62342 | + | 24.7189i | −0.363507 | + | 1.35663i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.89414 | + | 2.24828i | −0.213078 | + | 0.123021i | ||||
\(335\) | −3.92620 | + | 6.80037i | −0.214511 | + | 0.371544i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 25.0887i | − | 1.36667i | −0.730105 | − | 0.683335i | \(-0.760529\pi\) | ||
0.730105 | − | 0.683335i | \(-0.239471\pi\) | |||||||
\(338\) | 7.10954 | + | 3.94809i | 0.386708 | + | 0.214748i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 11.5636 | − | 3.09846i | 0.627125 | − | 0.168038i | ||||
\(341\) | 35.4392 | + | 20.4608i | 1.91914 | + | 1.10802i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.30746 | + | 17.4131i | −0.340571 | + | 0.940219i | ||||
\(344\) | −0.451449 | + | 1.68483i | −0.0243405 | + | 0.0908401i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.75261 | − | 6.75261i | −0.363023 | − | 0.363023i | ||||
\(347\) | −6.71302 | − | 11.6273i | −0.360374 | − | 0.624185i | 0.627649 | − | 0.778497i | \(-0.284017\pi\) |
−0.988022 | + | 0.154311i | \(0.950684\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.30405 | − | 1.42122i | 0.283919 | − | 0.0760760i | −0.114049 | − | 0.993475i | \(-0.536382\pi\) |
0.397968 | + | 0.917399i | \(0.369715\pi\) | |||||||
\(350\) | 1.91373 | − | 4.82438i | 0.102293 | − | 0.257874i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 27.6310 | 1.47274 | ||||||||
\(353\) | −0.756952 | − | 2.82498i | −0.0402885 | − | 0.150359i | 0.942851 | − | 0.333213i | \(-0.108133\pi\) |
−0.983140 | + | 0.182855i | \(0.941466\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.87578 | + | 3.24894i | 0.0995560 | + | 0.172436i | ||||
\(356\) | 3.83575 | − | 3.83575i | 0.203295 | − | 0.203295i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.6713 | + | 3.66320i | 0.722548 | + | 0.193606i | ||||
\(359\) | 19.7266 | − | 19.7266i | 1.04113 | − | 1.04113i | 0.0420147 | − | 0.999117i | \(-0.486622\pi\) |
0.999117 | − | 0.0420147i | \(-0.0133776\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.12302 | + | 1.22573i | 0.111738 | + | 0.0645120i | ||||
\(362\) | 0.884114 | − | 0.236898i | 0.0464680 | − | 0.0124511i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.35990 | + | 13.4658i | −0.385763 | + | 0.705798i | ||||
\(365\) | −4.19407 | −0.219527 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.4392 | − | 8.33648i | −0.753720 | − | 0.435161i | 0.0733163 | − | 0.997309i | \(-0.476642\pi\) |
−0.827037 | + | 0.562148i | \(0.809975\pi\) | |||||||
\(368\) | 5.67312 | − | 3.27538i | 0.295732 | − | 0.170741i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.06508 | − | 2.42898i | −0.471271 | − | 0.126277i | ||||
\(371\) | 14.2808 | + | 10.6203i | 0.741422 | + | 0.551376i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.1121 | + | 29.6390i | 0.886030 | + | 1.53465i | 0.844529 | + | 0.535511i | \(0.179881\pi\) |
0.0415014 | + | 0.999138i | \(0.486786\pi\) | |||||||
\(374\) | −8.34603 | + | 14.4557i | −0.431563 | + | 0.747489i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 18.0675 | 0.931760 | ||||||||
\(377\) | 4.47983 | + | 5.73850i | 0.230723 | + | 0.295548i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.6824 | + | 3.13028i | −0.600082 | + | 0.160792i | −0.546057 | − | 0.837748i | \(-0.683872\pi\) |
−0.0540253 | + | 0.998540i | \(0.517205\pi\) | |||||||
\(380\) | 5.08633 | − | 8.80978i | 0.260923 | − | 0.451932i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.83237 | − | 1.83237i | −0.0937521 | − | 0.0937521i | ||||
\(383\) | −32.0791 | − | 8.59556i | −1.63916 | − | 0.439213i | −0.682614 | − | 0.730780i | \(-0.739157\pi\) |
−0.956550 | + | 0.291567i | \(0.905823\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.01271 | + | 16.2343i | 0.357401 | + | 0.827378i | ||||
\(386\) | −0.382566 | − | 0.662623i | −0.0194721 | − | 0.0337266i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −15.2202 | + | 4.07824i | −0.772688 | + | 0.207041i | ||||
\(389\) | − | 25.6927i | − | 1.30267i | −0.758789 | − | 0.651337i | \(-0.774209\pi\) | ||
0.758789 | − | 0.651337i | \(-0.225791\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.7790i | 1.00027i | ||||||||
\(392\) | 13.9166 | + | 7.48533i | 0.702897 | + | 0.378066i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.27321 | + | 3.62184i | −0.316040 | + | 0.182466i | ||||
\(395\) | −8.09953 | + | 8.09953i | −0.407532 | + | 0.407532i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.00423 | − | 11.2120i | 0.150778 | − | 0.562712i | −0.848652 | − | 0.528952i | \(-0.822585\pi\) |
0.999430 | − | 0.0337600i | \(-0.0107482\pi\) | |||||||
\(398\) | −0.956572 | − | 0.956572i | −0.0479486 | − | 0.0479486i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.90253 | + | 2.83048i | 0.245127 | + | 0.141524i | ||||
\(401\) | −7.55225 | − | 28.1854i | −0.377141 | − | 1.40751i | −0.850191 | − | 0.526475i | \(-0.823513\pi\) |
0.473049 | − | 0.881036i | \(-0.343153\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.7654 | + | 27.7474i | 0.586075 | + | 1.38220i | ||||
\(404\) | 4.20234i | 0.209074i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.62028 | − | 2.07404i | 0.130042 | − | 0.102933i | ||||
\(407\) | −46.5862 | + | 26.8966i | −2.30919 | + | 1.33321i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.36962 | + | 0.634939i | 0.117170 | + | 0.0313957i | 0.316928 | − | 0.948450i | \(-0.397349\pi\) |
−0.199757 | + | 0.979845i | \(0.564015\pi\) | |||||||
\(410\) | 3.45523 | + | 0.925827i | 0.170642 | + | 0.0457233i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 23.3359 | − | 13.4730i | 1.14968 | − | 0.663766i | ||||
\(413\) | −31.0724 | + | 24.5948i | −1.52897 | + | 1.21023i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 21.7196i | 1.06617i | ||||||||
\(416\) | 16.2476 | + | 12.2533i | 0.796605 | + | 0.600769i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.67105 | + | 13.7006i | 0.179557 | + | 0.670116i | ||||
\(419\) | −19.8935 | − | 11.4855i | −0.971861 | − | 0.561104i | −0.0720579 | − | 0.997400i | \(-0.522957\pi\) |
−0.899803 | + | 0.436296i | \(0.856290\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.61471 | + | 1.61471i | 0.0786962 | + | 0.0786962i | 0.745359 | − | 0.666663i | \(-0.232278\pi\) |
−0.666663 | + | 0.745359i | \(0.732278\pi\) | |||||||
\(422\) | 2.92767 | − | 10.9262i | 0.142517 | − | 0.531881i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 10.7373 | − | 10.7373i | 0.521450 | − | 0.521450i | ||||
\(425\) | −14.8025 | + | 8.54622i | −0.718026 | + | 0.414552i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.640030 | + | 0.0744753i | 0.0309732 | + | 0.00360411i | ||||
\(428\) | − | 18.6364i | − | 0.900826i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.659934i | 0.0318249i | ||||||||
\(431\) | −18.1238 | + | 4.85625i | −0.872991 | + | 0.233917i | −0.667381 | − | 0.744717i | \(-0.732585\pi\) |
−0.205610 | + | 0.978634i | \(0.565918\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.29346 | + | 3.97239i | 0.110217 | + | 0.190901i | 0.915858 | − | 0.401503i | \(-0.131512\pi\) |
−0.805641 | + | 0.592404i | \(0.798179\pi\) | |||||||
\(434\) | 12.7004 | − | 5.48614i | 0.609636 | − | 0.263343i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.78070 | − | 2.35278i | −0.420519 | − | 0.112678i | ||||
\(437\) | 11.8843 | + | 11.8843i | 0.568505 | + | 0.568505i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.747446 | + | 1.29461i | −0.0356737 | + | 0.0617886i | −0.883311 | − | 0.468787i | \(-0.844691\pi\) |
0.847637 | + | 0.530576i | \(0.178024\pi\) | |||||||
\(440\) | 14.5745 | − | 3.90523i | 0.694814 | − | 0.186175i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −11.3182 | + | 4.79912i | −0.538353 | + | 0.228271i | ||||
\(443\) | −5.15152 | −0.244756 | −0.122378 | − | 0.992484i | \(-0.539052\pi\) | ||||
−0.122378 | + | 0.992484i | \(0.539052\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.30198 | − | 3.98715i | 0.109124 | − | 0.189009i | ||||
\(446\) | 6.72673 | + | 11.6510i | 0.318520 | + | 0.551693i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.125879 | + | 0.169267i | −0.00594724 | + | 0.00799711i | ||||
\(449\) | 18.3337 | + | 4.91250i | 0.865221 | + | 0.231835i | 0.664020 | − | 0.747715i | \(-0.268849\pi\) |
0.201201 | + | 0.979550i | \(0.435516\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 17.7567 | − | 10.2519i | 0.836132 | − | 0.482741i | ||||
\(452\) | 4.60981 | + | 2.66147i | 0.216827 | + | 0.125185i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.77058 | 0.0830976 | ||||||||
\(455\) | −3.07571 | + | 12.6560i | −0.144191 | + | 0.593323i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.41753 | − | 2.52342i | 0.440533 | − | 0.118041i | −0.0317331 | − | 0.999496i | \(-0.510103\pi\) |
0.472267 | + | 0.881456i | \(0.343436\pi\) | |||||||
\(458\) | 0.0933028 | + | 0.0538684i | 0.00435975 | + | 0.00251710i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.63577 | − | 5.63577i | 0.262769 | − | 0.262769i | ||||
\(461\) | 15.3121 | + | 4.10288i | 0.713157 | + | 0.191090i | 0.597117 | − | 0.802154i | \(-0.296313\pi\) |
0.116041 | + | 0.993244i | \(0.462980\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.1402 | − | 18.1402i | 0.843045 | − | 0.843045i | −0.146209 | − | 0.989254i | \(-0.546707\pi\) |
0.989254 | + | 0.146209i | \(0.0467071\pi\) | |||||||
\(464\) | 1.82248 | + | 3.15663i | 0.0846065 | + | 0.146543i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.41322 | − | 5.27422i | −0.0654663 | − | 0.244323i | ||||
\(467\) | −15.9305 | −0.737174 | −0.368587 | − | 0.929593i | \(-0.620158\pi\) | ||||
−0.368587 | + | 0.929593i | \(0.620158\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 14.1443 | + | 5.61076i | 0.653123 | + | 0.259081i | ||||
\(470\) | 6.60282 | − | 1.76922i | 0.304565 | − | 0.0816080i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 16.9060 | + | 29.2820i | 0.778160 | + | 1.34781i | ||||
\(473\) | 2.67476 | + | 2.67476i | 0.122986 | + | 0.122986i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.75911 | + | 14.0292i | −0.172480 | + | 0.643703i | ||||
\(476\) | −9.19946 | − | 21.2966i | −0.421657 | − | 0.976130i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −12.1822 | − | 7.03341i | −0.557202 | − | 0.321701i | ||||
\(479\) | −8.19612 | + | 2.19614i | −0.374490 | + | 0.100344i | −0.441155 | − | 0.897431i | \(-0.645431\pi\) |
0.0666644 | + | 0.997775i | \(0.478764\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −39.3213 | − | 4.84352i | −1.79290 | − | 0.220845i | ||||
\(482\) | 6.00446i | 0.273496i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.4293 | − | 18.0641i | 0.474061 | − | 0.821098i | ||||
\(485\) | −11.5817 | + | 6.68671i | −0.525899 | + | 0.303628i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.212412 | + | 0.792734i | −0.00962533 | + | 0.0359222i | −0.970571 | − | 0.240813i | \(-0.922586\pi\) |
0.960946 | + | 0.276735i | \(0.0892526\pi\) | |||||||
\(488\) | 0.142292 | − | 0.531043i | 0.00644128 | − | 0.0240392i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5.81886 | + | 1.37278i | 0.262869 | + | 0.0620158i | ||||
\(491\) | 28.7764 | + | 16.6141i | 1.29866 | + | 0.749782i | 0.980173 | − | 0.198145i | \(-0.0634917\pi\) |
0.318488 | + | 0.947927i | \(0.396825\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −11.0054 | −0.495660 | ||||||||
\(494\) | −3.91703 | + | 9.68419i | −0.176236 | + | 0.435712i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.90552 | + | 14.5756i | 0.175363 | + | 0.654463i | ||||
\(497\) | 5.70025 | − | 4.51194i | 0.255691 | − | 0.202388i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.26621 | − | 2.26621i | −0.101449 | − | 0.101449i | 0.654560 | − | 0.756010i | \(-0.272854\pi\) |
−0.756010 | + | 0.654560i | \(0.772854\pi\) | |||||||
\(500\) | 17.2606 | + | 4.62495i | 0.771916 | + | 0.206834i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.54722 | + | 2.54722i | 0.113688 | + | 0.113688i | ||||
\(503\) | −9.09104 | + | 5.24871i | −0.405349 | + | 0.234028i | −0.688789 | − | 0.724961i | \(-0.741858\pi\) |
0.283440 | + | 0.958990i | \(0.408524\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.923111 | + | 3.44510i | 0.0410779 | + | 0.153305i | ||||
\(506\) | 11.1129i | 0.494029i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −28.7754 | −1.27670 | ||||||||
\(509\) | 3.18662 | + | 11.8926i | 0.141244 | + | 0.527131i | 0.999894 | + | 0.0145680i | \(0.00463731\pi\) |
−0.858649 | + | 0.512563i | \(0.828696\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.18204 | + | 8.04092i | 0.0522905 | + | 0.355709i | ||||
\(512\) | 12.9677 | + | 12.9677i | 0.573099 | + | 0.573099i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.61856 | + | 13.5046i | −0.159608 | + | 0.595664i | ||||
\(515\) | 16.1713 | − | 16.1713i | 0.712592 | − | 0.712592i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 19.5909 | − | 33.9325i | 0.861607 | − | 1.49235i | ||||
\(518\) | −2.10200 | + | 18.0643i | −0.0923565 | + | 0.793698i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 10.3020 | + | 4.16691i | 0.451771 | + | 0.182731i | ||||
\(521\) | − | 10.4773i | − | 0.459019i | −0.973306 | − | 0.229509i | \(-0.926288\pi\) | ||
0.973306 | − | 0.229509i | \(-0.0737122\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −31.3912 | − | 18.1237i | −1.37264 | − | 0.792495i | −0.381381 | − | 0.924418i | \(-0.624552\pi\) |
−0.991260 | + | 0.131923i | \(0.957885\pi\) | |||||||
\(524\) | 12.3820 | + | 21.4463i | 0.540911 | + | 0.936885i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.89261 | − | 10.7954i | 0.126124 | − | 0.470700i | ||||
\(527\) | −44.0089 | − | 11.7921i | −1.91706 | − | 0.513674i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.91595 | − | 8.51467i | −0.213737 | − | 0.370203i | ||||
\(530\) | 2.87255 | − | 4.97541i | 0.124776 | − | 0.216118i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −18.3237 | − | 7.26865i | −0.794435 | − | 0.315136i | ||||
\(533\) | 14.9876 | + | 1.84615i | 0.649187 | + | 0.0799656i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.09379 | − | 15.2782i | −0.176990 | − | 0.660535i | ||||
\(536\) | 6.49157 | − | 11.2437i | 0.280393 | − | 0.485655i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.61098 | + | 3.61098i | −0.155680 | + | 0.155680i | ||||
\(539\) | 29.1482 | − | 18.0203i | 1.25550 | − | 0.776189i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.3940 | − | 15.3940i | 0.661840 | − | 0.661840i | −0.293974 | − | 0.955813i | \(-0.594978\pi\) |
0.955813 | + | 0.293974i | \(0.0949778\pi\) | |||||||
\(542\) | −10.0853 | + | 5.82276i | −0.433202 | + | 0.250109i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −29.7155 | + | 7.96225i | −1.27404 | + | 0.341379i | ||||
\(545\) | −7.71528 | −0.330486 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.98911 | −0.0850480 | −0.0425240 | − | 0.999095i | \(-0.513540\pi\) | ||||
−0.0425240 | + | 0.999095i | \(0.513540\pi\) | |||||||
\(548\) | −3.36159 | + | 0.900735i | −0.143600 | + | 0.0384775i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.31681 | + | 4.80171i | −0.354630 | + | 0.204746i | ||||
\(551\) | −6.61267 | + | 6.61267i | −0.281709 | + | 0.281709i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 17.8113 | + | 13.2458i | 0.757412 | + | 0.563268i | ||||
\(554\) | 2.36938 | − | 2.36938i | 0.100665 | − | 0.100665i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.03820 | + | 1.79822i | −0.0440296 | + | 0.0762614i | ||||
\(557\) | 6.80662 | + | 25.4027i | 0.288406 | + | 1.07634i | 0.946315 | + | 0.323247i | \(0.104775\pi\) |
−0.657909 | + | 0.753098i | \(0.728559\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.386658 | + | 2.75897i | 0.0163539 | + | 0.116692i | ||||
\(560\) | −2.40448 | + | 6.06152i | −0.101608 | + | 0.256146i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.94015 | + | 8.55659i | −0.208388 | + | 0.360938i | ||||
\(563\) | −23.3973 | − | 40.5252i | −0.986077 | − | 1.70794i | −0.637050 | − | 0.770822i | \(-0.719846\pi\) |
−0.349027 | − | 0.937113i | \(-0.613488\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.36378 | + | 1.16927i | 0.183585 | + | 0.0491916i | ||||
\(566\) | 3.46873 | − | 12.9455i | 0.145802 | − | 0.544139i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.10141 | − | 5.37180i | −0.130132 | − | 0.225396i | ||||
\(569\) | 5.67847 | + | 3.27847i | 0.238054 | + | 0.137441i | 0.614282 | − | 0.789087i | \(-0.289446\pi\) |
−0.376228 | + | 0.926527i | \(0.622779\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.2503i | 0.512659i | 0.966590 | + | 0.256329i | \(0.0825132\pi\) | ||||
−0.966590 | + | 0.256329i | \(0.917487\pi\) | |||||||
\(572\) | 26.1421 | − | 11.0847i | 1.09305 | − | 0.463474i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.801194 | − | 6.88535i | 0.0334412 | − | 0.287389i | ||||
\(575\) | −5.68973 | + | 9.85491i | −0.237278 | + | 0.410978i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 25.5329 | − | 25.5329i | 1.06295 | − | 1.06295i | 0.0650684 | − | 0.997881i | \(-0.479273\pi\) |
0.997881 | − | 0.0650684i | \(-0.0207266\pi\) | |||||||
\(578\) | 2.05765 | − | 7.67925i | 0.0855869 | − | 0.319415i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.13585 | + | 3.13585i | 0.130209 | + | 0.130209i | ||||
\(581\) | 41.6411 | − | 6.12139i | 1.72756 | − | 0.253958i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.52302 | − | 31.8083i | −0.352987 | − | 1.31737i | ||||
\(584\) | 6.93447 | 0.286950 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.22485i | 0.133217i | ||||||||
\(587\) | −1.99568 | − | 7.44800i | −0.0823707 | − | 0.307412i | 0.912433 | − | 0.409227i | \(-0.134202\pi\) |
−0.994803 | + | 0.101815i | \(0.967535\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −33.5283 | + | 19.3576i | −1.38151 | + | 0.797616i | ||||
\(590\) | 9.04571 | + | 9.04571i | 0.372406 | + | 0.372406i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −19.1602 | − | 5.13395i | −0.787479 | − | 0.211004i | ||||
\(593\) | −5.94198 | − | 5.94198i | −0.244008 | − | 0.244008i | 0.574498 | − | 0.818506i | \(-0.305197\pi\) |
−0.818506 | + | 0.574498i | \(0.805197\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.2199 | − | 15.4383i | −0.500967 | − | 0.632907i | ||||
\(596\) | 0.524996 | + | 1.95931i | 0.0215047 | + | 0.0802566i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.92816 | + | 6.53462i | −0.201528 | + | 0.267221i | ||||
\(599\) | −28.6135 | −1.16912 | −0.584558 | − | 0.811352i | \(-0.698732\pi\) | ||||
−0.584558 | + | 0.811352i | \(0.698732\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.37026 | + | 3.10052i | 0.219058 | + | 0.126473i | 0.605514 | − | 0.795835i | \(-0.292968\pi\) |
−0.386456 | + | 0.922308i | \(0.626301\pi\) | |||||||
\(602\) | 1.26523 | − | 0.185994i | 0.0515671 | − | 0.00758054i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.15437 | + | 11.7723i | −0.128350 | + | 0.479007i | ||||
\(605\) | 4.58194 | − | 17.1000i | 0.186282 | − | 0.695215i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −19.0001 | + | 10.9697i | −0.771192 | + | 0.445248i | −0.833300 | − | 0.552822i | \(-0.813551\pi\) |
0.0621079 | + | 0.998069i | \(0.480218\pi\) | |||||||
\(608\) | −13.0706 | + | 22.6389i | −0.530082 | + | 0.918128i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | − | 0.208005i | − | 0.00842187i | ||||||
\(611\) | 26.5676 | − | 11.2651i | 1.07481 | − | 0.455739i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.56397 | + | 0.954962i | −0.143947 | + | 0.0385706i | −0.330073 | − | 0.943955i | \(-0.607073\pi\) |
0.186126 | + | 0.982526i | \(0.440407\pi\) | |||||||
\(614\) | 13.7633 | + | 7.94627i | 0.555443 | + | 0.320685i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.5948 | − | 26.8418i | −0.467168 | − | 1.08149i | ||||
\(617\) | −1.16293 | + | 4.34013i | −0.0468180 | + | 0.174727i | −0.985376 | − | 0.170395i | \(-0.945496\pi\) |
0.938558 | + | 0.345122i | \(0.112162\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.43883 | − | 6.43883i | −0.258798 | − | 0.258798i | 0.565767 | − | 0.824565i | \(-0.308580\pi\) |
−0.824565 | + | 0.565767i | \(0.808580\pi\) | |||||||
\(620\) | 9.17971 | + | 15.8997i | 0.368666 | + | 0.638548i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 4.36504 | − | 1.16961i | 0.175022 | − | 0.0468970i | ||||
\(623\) | −8.29300 | − | 3.28966i | −0.332252 | − | 0.131798i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.513208 | −0.0205283 | ||||||||
\(626\) | −3.39375 | − | 12.6656i | −0.135641 | − | 0.506221i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.99445 | − | 10.3827i | −0.239205 | − | 0.414315i | ||||
\(629\) | 42.3502 | − | 42.3502i | 1.68861 | − | 1.68861i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −24.5144 | − | 6.56863i | −0.975905 | − | 0.261493i | −0.264586 | − | 0.964362i | \(-0.585235\pi\) |
−0.711319 | + | 0.702869i | \(0.751902\pi\) | |||||||
\(632\) | 13.3918 | − | 13.3918i | 0.532696 | − | 0.532696i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.158766 | + | 0.0916634i | 0.00630539 | + | 0.00364042i | ||||
\(635\) | −23.5902 | + | 6.32097i | −0.936148 | + | 0.250840i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 25.1311 | + | 2.32985i | 0.995730 | + | 0.0923121i | ||||
\(638\) | −6.18343 | −0.244804 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 13.4063 | + | 7.74011i | 0.529929 | + | 0.305955i | ||||
\(641\) | −26.7633 | + | 15.4518i | −1.05709 | + | 0.610309i | −0.924625 | − | 0.380879i | \(-0.875621\pi\) |
−0.132461 | + | 0.991188i | \(0.542288\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.1486 | − | 5.93469i | −0.873454 | − | 0.234041i | −0.205873 | − | 0.978579i | \(-0.566004\pi\) |
−0.667581 | + | 0.744537i | \(0.732670\pi\) | |||||||
\(644\) | −12.3933 | − | 9.21659i | −0.488365 | − | 0.363185i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.89601 | − | 13.6763i | −0.310664 | − | 0.538086i | ||||
\(647\) | 9.66194 | − | 16.7350i | 0.379850 | − | 0.657919i | −0.611190 | − | 0.791484i | \(-0.709309\pi\) |
0.991040 | + | 0.133564i | \(0.0426423\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 73.3258 | 2.87829 | ||||||||
\(650\) | −7.01984 | − | 0.864690i | −0.275341 | − | 0.0339159i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 18.2252 | − | 4.88344i | 0.713755 | − | 0.191250i | ||||
\(653\) | −10.3312 | + | 17.8942i | −0.404291 | + | 0.700253i | −0.994239 | − | 0.107189i | \(-0.965815\pi\) |
0.589947 | + | 0.807442i | \(0.299148\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 14.8618 | + | 14.8618i | 0.580700 | + | 0.580700i | ||||
\(656\) | 7.30306 | + | 1.95685i | 0.285137 | + | 0.0764022i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.25289 | − | 12.1604i | −0.204779 | − | 0.474061i | ||||
\(659\) | −11.5048 | − | 19.9270i | −0.448165 | − | 0.776245i | 0.550102 | − | 0.835098i | \(-0.314589\pi\) |
−0.998267 | + | 0.0588532i | \(0.981256\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 27.9076 | − | 7.47783i | 1.08548 | − | 0.290854i | 0.328642 | − | 0.944455i | \(-0.393409\pi\) |
0.756839 | + | 0.653601i | \(0.226743\pi\) | |||||||
\(662\) | − | 8.10696i | − | 0.315086i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 35.9112i | − | 1.39362i | ||||||
\(665\) | −16.6186 | − | 1.93377i | −0.644440 | − | 0.0749884i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.34535 | + | 3.66349i | −0.245693 | + | 0.141851i | ||||
\(668\) | −8.17656 | + | 8.17656i | −0.316361 | + | 0.316361i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.27135 | − | 4.74473i | 0.0491164 | − | 0.183305i | ||||
\(671\) | −0.843058 | − | 0.843058i | −0.0325459 | − | 0.0325459i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.00219 | − | 2.31066i | −0.154273 | − | 0.0890695i | 0.420876 | − | 0.907118i | \(-0.361723\pi\) |
−0.575149 | + | 0.818049i | \(0.695056\pi\) | |||||||
\(674\) | 4.06200 | + | 15.1596i | 0.156462 | + | 0.583926i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 20.2877 | + | 5.07500i | 0.780297 | + | 0.195192i | ||||
\(677\) | 21.5334i | 0.827596i | 0.910369 | + | 0.413798i | \(0.135798\pi\) | ||||
−0.910369 | + | 0.413798i | \(0.864202\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 16.0840 | + | 20.3201i | 0.617247 | + | 0.779812i | ||||
\(680\) | −14.5487 | + | 8.39970i | −0.557918 | + | 0.322114i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −24.7265 | − | 6.62545i | −0.946827 | − | 0.253701i | ||||
\(683\) | −26.5081 | − | 7.10282i | −1.01430 | − | 0.271782i | −0.286877 | − | 0.957967i | \(-0.592617\pi\) |
−0.727426 | + | 0.686186i | \(0.759284\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.55798 | + | 1.47685i | −0.0977355 | + | 0.0564276i | ||||
\(686\) | 0.991938 | − | 11.5429i | 0.0378724 | − | 0.440710i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.39485i | 0.0531783i | ||||||||
\(689\) | 9.09410 | − | 22.4836i | 0.346458 | − | 0.856557i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.4368 | + | 38.9506i | 0.397033 | + | 1.48175i | 0.818289 | + | 0.574807i | \(0.194923\pi\) |
−0.421255 | + | 0.906942i | \(0.638410\pi\) | |||||||
\(692\) | −21.2678 | − | 12.2790i | −0.808479 | − | 0.466776i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.93879 | + | 5.93879i | 0.225433 | + | 0.225433i | ||||
\(695\) | −0.456115 | + | 1.70224i | −0.0173014 | + | 0.0645698i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.1421 | + | 16.1421i | −0.611426 | + | 0.611426i | ||||
\(698\) | −2.97482 | + | 1.71751i | −0.112598 | + | 0.0650087i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.54266 | − | 13.2574i | 0.0583071 | − | 0.501083i | ||||
\(701\) | − | 17.7693i | − | 0.671135i | −0.942016 | − | 0.335568i | \(-0.891072\pi\) | ||
0.942016 | − | 0.335568i | \(-0.108928\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 50.8926i | − | 1.91945i | ||||||
\(704\) | 0.377016 | − | 0.101021i | 0.0142093 | − | 0.00380738i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.914760 | + | 1.58441i | 0.0344275 | + | 0.0596301i | ||||
\(707\) | 6.34482 | − | 2.74076i | 0.238621 | − | 0.103077i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 13.1479 | + | 3.52297i | 0.493780 | + | 0.132308i | 0.497112 | − | 0.867687i | \(-0.334394\pi\) |
−0.00333188 | + | 0.999994i | \(0.501061\pi\) | |||||||
\(710\) | −1.65944 | − | 1.65944i | −0.0622777 | − | 0.0622777i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.80610 | + | 6.59235i | −0.142639 | + | 0.247059i | ||||
\(713\) | −29.2994 | + | 7.85074i | −1.09727 | + | 0.294013i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 18.9964 | − | 14.8298i | 0.710427 | − | 0.554603i | ||||
\(716\) | 36.3973 | 1.36023 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8.72576 | + | 15.1135i | −0.325642 | + | 0.564029i | ||||
\(719\) | −14.3958 | − | 24.9343i | −0.536873 | − | 0.929892i | −0.999070 | − | 0.0431147i | \(-0.986272\pi\) |
0.462197 | − | 0.886777i | \(-0.347061\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −35.5615 | − | 26.4461i | −1.32438 | − | 0.984905i | ||||
\(722\) | −1.48127 | − | 0.396904i | −0.0551271 | − | 0.0147713i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.03845 | − | 1.17690i | 0.0757583 | − | 0.0437391i | ||||
\(725\) | −5.48345 | − | 3.16587i | −0.203650 | − | 0.117578i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −35.7112 | −1.32445 | −0.662227 | − | 0.749303i | \(-0.730389\pi\) | ||||
−0.662227 | + | 0.749303i | \(0.730389\pi\) | |||||||
\(728\) | 5.08537 | − | 20.9254i | 0.188476 | − | 0.775548i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.53422 | − | 0.679043i | 0.0937957 | − | 0.0251325i | ||||
\(731\) | −3.64732 | − | 2.10578i | −0.134901 | − | 0.0778850i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.08991 | + | 5.08991i | −0.188000 | + | 0.188000i | −0.794831 | − | 0.606831i | \(-0.792441\pi\) |
0.606831 | + | 0.794831i | \(0.292441\pi\) | |||||||
\(734\) | 10.0745 | + | 2.69944i | 0.371855 | + | 0.0996383i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −14.4825 | + | 14.4825i | −0.533831 | + | 0.533831i | ||||
\(737\) | −14.0779 | − | 24.3836i | −0.518565 | − | 0.898180i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.23899 | − | 8.35601i | −0.0823624 | − | 0.307381i | 0.912439 | − | 0.409212i | \(-0.134196\pi\) |
−0.994802 | + | 0.101831i | \(0.967530\pi\) | |||||||
\(740\) | −24.1342 | −0.887190 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.3485 | − | 4.10504i | −0.379906 | − | 0.150701i | ||||
\(743\) | −0.167623 | + | 0.0449143i | −0.00614947 | + | 0.00164775i | −0.261892 | − | 0.965097i | \(-0.584347\pi\) |
0.255743 | + | 0.966745i | \(0.417680\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.860788 | + | 1.49093i | 0.0315368 | + | 0.0546234i | ||||
\(746\) | −15.1385 | − | 15.1385i | −0.554260 | − | 0.554260i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −11.1099 | + | 41.4628i | −0.406219 | + | 1.51603i | ||||
\(749\) | −28.1378 | + | 12.1546i | −1.02813 | + | 0.444120i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.40946 | + | 3.12315i | 0.197394 | + | 0.113965i | 0.595439 | − | 0.803400i | \(-0.296978\pi\) |
−0.398045 | + | 0.917366i | \(0.630311\pi\) | |||||||
\(752\) | 13.9559 | − | 3.73947i | 0.508919 | − | 0.136364i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.63599 | − | 2.74212i | −0.132415 | − | 0.0998622i | ||||
\(755\) | 10.3439i | 0.376452i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.42762 | − | 9.40091i | 0.197270 | − | 0.341682i | −0.750372 | − | 0.661016i | \(-0.770126\pi\) |
0.947642 | + | 0.319334i | \(0.103459\pi\) | |||||||
\(758\) | 6.55213 | − | 3.78288i | 0.237984 | − | 0.137400i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.69466 | + | 13.7887i | −0.134020 | + | 0.500168i | ||||
\(761\) | −5.34573 | + | 19.9505i | −0.193783 | + | 0.723206i | 0.798796 | + | 0.601602i | \(0.205471\pi\) |
−0.992579 | + | 0.121604i | \(0.961196\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.17445 | + | 14.7918i | 0.0787204 | + | 0.535500i | ||||
\(764\) | −5.77116 | − | 3.33198i | −0.208793 | − | 0.120547i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 20.7751 | 0.750635 | ||||||||
\(767\) | 43.1171 | + | 32.5173i | 1.55687 | + | 1.17413i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.59897 | − | 28.3597i | −0.274026 | − | 1.02268i | −0.956491 | − | 0.291760i | \(-0.905759\pi\) |
0.682466 | − | 0.730918i | \(-0.260908\pi\) | |||||||
\(770\) | −6.86579 | − | 8.67403i | −0.247426 | − | 0.312590i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.39132 | − | 1.39132i | −0.0500745 | − | 0.0500745i | ||||
\(773\) | −14.8539 | − | 3.98008i | −0.534257 | − | 0.143154i | −0.0184036 | − | 0.999831i | \(-0.505858\pi\) |
−0.515853 | + | 0.856677i | \(0.672525\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −18.5352 | − | 18.5352i | −0.665805 | − | 0.665805i | ||||
\(776\) | 19.1492 | − | 11.0558i | 0.687416 | − | 0.396880i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.15980 | + | 15.5246i | 0.149136 | + | 0.556583i | ||||
\(779\) | 19.3981i | 0.695011i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −13.4517 | −0.481338 | ||||||||
\(782\) | −3.20234 | − | 11.9513i | −0.114515 | − | 0.427377i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 12.2989 | + | 2.90154i | 0.439246 | + | 0.103626i | ||||
\(785\) | −7.19500 | − | 7.19500i | −0.256801 | − | 0.256801i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −8.72193 | + | 32.5507i | −0.310903 | + | 1.16031i | 0.616841 | + | 0.787088i | \(0.288412\pi\) |
−0.927744 | + | 0.373218i | \(0.878254\pi\) | |||||||
\(788\) | −13.1719 | + | 13.1719i | −0.469230 | + | 0.469230i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.58270 | − | 6.20542i | 0.127467 | − | 0.220779i | ||||
\(791\) | 1.01187 | − | 8.69583i | 0.0359778 | − | 0.309188i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.121871 | − | 0.869600i | −0.00432776 | − | 0.0308804i | ||||
\(794\) | 7.26111i | 0.257687i | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.01278 | − | 1.73943i | −0.106785 | − | 0.0616525i | ||||
\(797\) | −7.64170 | − | 13.2358i | −0.270683 | − | 0.468837i | 0.698354 | − | 0.715753i | \(-0.253916\pi\) |
−0.969037 | + | 0.246916i | \(0.920583\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −11.2908 | + | 42.1378i | −0.399439 | + | 1.49073i | ||||
\(800\) | −17.0962 | − | 4.58092i | −0.604443 | − | 0.161960i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.12674 | + | 15.8080i | 0.322276 | + | 0.558199i | ||||
\(803\) | 7.51917 | − | 13.0236i | 0.265346 | − | 0.459592i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −12.1847 | − | 4.83341i | −0.429453 | − | 0.170355i | ||||
\(806\) | −11.6016 | − | 14.8612i | −0.408648 | − | 0.523463i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.52627 | − | 5.69612i | −0.0536940 | − | 0.200389i | ||||
\(809\) | 18.3537 | − | 31.7895i | 0.645282 | − | 1.11766i | −0.338955 | − | 0.940803i | \(-0.610073\pi\) |
0.984236 | − | 0.176858i | \(-0.0565933\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −15.9213 | + | 15.9213i | −0.559073 | + | 0.559073i | −0.929044 | − | 0.369970i | \(-0.879368\pi\) |
0.369970 | + | 0.929044i | \(0.379368\pi\) | |||||||
\(812\) | 5.12828 | − | 6.89588i | 0.179967 | − | 0.241998i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 23.7945 | − | 23.7945i | 0.833998 | − | 0.833998i | ||||
\(815\) | 13.8684 | − | 8.00692i | 0.485789 | − | 0.280470i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.45678 | + | 0.926240i | −0.120937 | + | 0.0324050i | ||||
\(818\) | −1.53462 | −0.0536568 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.19895 | 0.321241 | ||||||||
\(821\) | −27.4347 | + | 7.35110i | −0.957477 | + | 0.256555i | −0.703532 | − | 0.710664i | \(-0.748395\pi\) |
−0.253945 | + | 0.967219i | \(0.581728\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 44.7888 | − | 25.8588i | 1.56124 | − | 0.901382i | 0.564107 | − | 0.825702i | \(-0.309221\pi\) |
0.997132 | − | 0.0756800i | \(-0.0241127\pi\) | |||||||
\(824\) | −26.7376 | + | 26.7376i | −0.931448 | + | 0.931448i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 14.7931 | − | 19.8920i | 0.514719 | − | 0.692130i | ||||
\(827\) | 5.62199 | − | 5.62199i | 0.195496 | − | 0.195496i | −0.602570 | − | 0.798066i | \(-0.705857\pi\) |
0.798066 | + | 0.602570i | \(0.205857\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 9.16413 | − | 15.8727i | 0.318284 | − | 0.551283i | −0.661846 | − | 0.749639i | \(-0.730227\pi\) |
0.980130 | + | 0.198356i | \(0.0635603\pi\) | |||||||
\(830\) | −3.51652 | − | 13.1238i | −0.122060 | − | 0.455535i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.266493 | + | 0.107790i | 0.00923897 | + | 0.00373695i | ||||
\(833\) | −26.1544 | + | 27.7792i | −0.906197 | + | 0.962493i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.90707 | + | 8.49929i | −0.169816 | + | 0.294130i | ||||
\(836\) | 18.2377 | + | 31.5886i | 0.630763 | + | 1.09251i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 13.8800 | + | 3.71914i | 0.479477 | + | 0.128475i | ||||
\(839\) | 4.18001 | − | 15.6000i | 0.144310 | − | 0.538572i | −0.855475 | − | 0.517844i | \(-0.826735\pi\) |
0.999785 | − | 0.0207282i | \(-0.00659846\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.4616 | + | 21.5841i | 0.429709 | + | 0.744278i | ||||
\(842\) | −1.23710 | − | 0.714242i | −0.0426334 | − | 0.0246144i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | − | 29.0892i | − | 1.00129i | ||||||
\(845\) | 17.7468 | − | 0.296011i | 0.610507 | − | 0.0101831i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −34.0758 | − | 3.96513i | −1.17086 | − | 0.136243i | ||||
\(848\) | 6.07150 | − | 10.5161i | 0.208496 | − | 0.361126i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 7.56057 | − | 7.56057i | 0.259325 | − | 0.259325i | ||||
\(851\) | 10.3201 | − | 38.5152i | 0.353769 | − | 1.32028i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 27.1149 | + | 27.1149i | 0.928397 | + | 0.928397i | 0.997602 | − | 0.0692053i | \(-0.0220464\pi\) |
−0.0692053 | + | 0.997602i | \(0.522046\pi\) | |||||||
\(854\) | −0.398789 | + | 0.0586234i | −0.0136463 | + | 0.00200605i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 6.76866 | + | 25.2610i | 0.231348 | + | 0.863403i | ||||
\(857\) | −39.5227 | −1.35007 | −0.675035 | − | 0.737785i | \(-0.735872\pi\) | ||||
−0.675035 | + | 0.737785i | \(0.735872\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 11.5991i | 0.395757i | 0.980227 | + | 0.197878i | \(0.0634051\pi\) | ||||
−0.980227 | + | 0.197878i | \(0.936595\pi\) | |||||||
\(860\) | 0.439240 | + | 1.63926i | 0.0149779 | + | 0.0558985i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 10.1648 | − | 5.86867i | 0.346216 | − | 0.199888i | ||||
\(863\) | 36.6744 | + | 36.6744i | 1.24841 | + | 1.24841i | 0.956421 | + | 0.291991i | \(0.0943176\pi\) |
0.291991 | + | 0.956421i | \(0.405682\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −20.1327 | − | 5.39453i | −0.684531 | − | 0.183420i | ||||
\(866\) | −2.02895 | − | 2.02895i | −0.0689466 | − | 0.0689466i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 27.8960 | − | 22.0806i | 0.946851 | − | 0.749464i | ||||
\(869\) | −10.6301 | − | 39.6719i | −0.360600 | − | 1.34578i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.53513 | − | 20.5811i | 0.0858997 | − | 0.697362i | ||||
\(872\) | 12.7564 | 0.431987 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −9.10513 | − | 5.25685i | −0.307986 | − | 0.177816i | ||||
\(875\) | −4.27440 | − | 29.0769i | −0.144501 | − | 0.982977i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.12095 | − | 15.3796i | 0.139155 | − | 0.519332i | −0.860792 | − | 0.508957i | \(-0.830031\pi\) |
0.999946 | − | 0.0103742i | \(-0.00330228\pi\) | |||||||
\(878\) | 0.242031 | − | 0.903273i | 0.00816816 | − | 0.0304840i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 10.4495 | − | 6.03304i | 0.352254 | − | 0.203374i | ||||
\(881\) | −23.5454 | + | 40.7819i | −0.793266 | + | 1.37398i | 0.130668 | + | 0.991426i | \(0.458288\pi\) |
−0.923934 | + | 0.382551i | \(0.875046\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 25.4763i | 0.857347i | 0.903460 | + | 0.428673i | \(0.141019\pi\) | ||||
−0.903460 | + | 0.428673i | \(0.858981\pi\) | |||||||
\(884\) | −24.9201 | + | 19.4541i | −0.838152 | + | 0.654313i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.11275 | − | 0.834059i | 0.104575 | − | 0.0280208i | ||||
\(887\) | 32.6585 | + | 18.8554i | 1.09657 | + | 0.633103i | 0.935317 | − | 0.353811i | \(-0.115114\pi\) |
0.161249 | + | 0.986914i | \(0.448448\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.7672 | + | 43.4459i | 0.629433 | + | 1.45713i | ||||
\(890\) | −0.745407 | + | 2.78190i | −0.0249861 | + | 0.0932494i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 24.4638 | + | 24.4638i | 0.819108 | + | 0.819108i | ||||
\(893\) | 18.5346 | + | 32.1028i | 0.620235 | + | 1.07428i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 29.8387 | − | 7.99524i | 0.997396 | − | 0.267251i | ||||
\(896\) | 11.0610 | − | 27.8841i | 0.369524 | − | 0.931542i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −11.8733 | −0.396218 | ||||||||
\(899\) | −4.36830 | − | 16.3027i | −0.145691 | − | 0.543726i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 18.3320 | + | 31.7520i | 0.610728 | + | 1.05781i | ||||
\(902\) | −9.06949 | + | 9.06949i | −0.301981 | + | 0.301981i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.21506 | − | 1.93327i | −0.239969 | − | 0.0642996i | ||||
\(905\) | 1.41260 | − | 1.41260i | 0.0469565 | − | 0.0469565i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −42.1816 | − | 24.3536i | −1.40062 | − | 0.808647i | −0.406162 | − | 0.913801i | \(-0.633133\pi\) |
−0.994456 | + | 0.105154i | \(0.966467\pi\) | |||||||
\(908\) | 4.39809 | − | 1.17847i | 0.145956 | − | 0.0391088i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.190613 | − | 8.14523i | −0.00631876 | − | 0.270012i | ||||
\(911\) | −1.75858 | −0.0582644 | −0.0291322 | − | 0.999576i | \(-0.509274\pi\) | ||||
−0.0291322 | + | 0.999576i | \(0.509274\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −67.4446 | − | 38.9392i | −2.23209 | − | 1.28870i | ||||
\(914\) | −5.28189 | + | 3.04950i | −0.174709 | + | 0.100868i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.267616 | + | 0.0717075i | 0.00884229 | + | 0.00236928i | ||||
\(917\) | 24.3047 | − | 32.6819i | 0.802611 | − | 1.07925i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.9530 | − | 39.7557i | −0.757148 | − | 1.31142i | −0.944299 | − | 0.329088i | \(-0.893259\pi\) |
0.187151 | − | 0.982331i | \(-0.440075\pi\) | |||||||
\(920\) | −5.59219 | + | 9.68596i | −0.184369 | + | 0.319337i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −9.91648 | −0.326582 | ||||||||
\(923\) | −7.90986 | − | 5.96531i | −0.260356 | − | 0.196351i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 33.2836 | − | 8.91831i | 1.09436 | − | 0.293232i | ||||
\(926\) | −8.02401 | + | 13.8980i | −0.263685 | + | 0.456717i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −8.05832 | − | 8.05832i | −0.264527 | − | 0.264527i | ||||
\(929\) | 23.6180 | + | 6.32841i | 0.774880 | + | 0.207629i | 0.624526 | − | 0.781004i | \(-0.285292\pi\) |
0.150354 | + | 0.988632i | \(0.451959\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.976272 | + | 32.4063i | 0.0319960 | + | 1.06207i | ||||
\(932\) | −7.02084 | − | 12.1604i | −0.229975 | − | 0.398329i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 9.62582 | − | 2.57923i | 0.314966 | − | 0.0843950i | ||||
\(935\) | 36.4318i | 1.19145i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 11.3574i | 0.371031i | 0.982641 | + | 0.185515i | \(0.0593955\pi\) | ||||
−0.982641 | + | 0.185515i | \(0.940605\pi\) | |||||||
\(938\) | −9.45496 | − | 1.10020i | −0.308715 | − | 0.0359228i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 15.2237 | − | 8.78942i | 0.496543 | − | 0.286679i | ||||
\(941\) | 31.2382 | − | 31.2382i | 1.01834 | − | 1.01834i | 0.0185076 | − | 0.999829i | \(-0.494108\pi\) |
0.999829 | − | 0.0185076i | \(-0.00589150\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.93360 | + | 14.6804i | −0.128096 | + | 0.478059i | ||||
\(944\) | 19.1192 | + | 19.1192i | 0.622278 | + | 0.622278i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.04925 | − | 1.18314i | −0.0666270 | − | 0.0384671i | ||||
\(947\) | 4.90816 | + | 18.3175i | 0.159494 | + | 0.595239i | 0.998679 | + | 0.0513927i | \(0.0163660\pi\) |
−0.839185 | + | 0.543847i | \(0.816967\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.1969 | − | 4.32367i | 0.331005 | − | 0.140352i | ||||
\(950\) | − | 9.08561i | − | 0.294776i | ||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 20.2044 | + | 25.5256i | 0.654828 | + | 0.827290i | ||||
\(953\) | −20.5939 | + | 11.8899i | −0.667103 | + | 0.385152i | −0.794978 | − | 0.606638i | \(-0.792518\pi\) |
0.127875 | + | 0.991790i | \(0.459184\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.46314 | − | 1.46384i | −0.176783 | − | 0.0473689i | ||||
\(956\) | −34.9417 | − | 9.36261i | −1.13010 | − | 0.302808i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 4.59685 | − | 2.65399i | 0.148518 | − | 0.0857466i | ||||
\(959\) | 3.55237 | + | 4.48796i | 0.114712 | + | 0.144924i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 38.8724i | − | 1.25395i | ||||||
\(962\) | 24.5437 | − | 3.43969i | 0.791320 | − | 0.110900i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.99645 | + | 14.9150i | 0.128717 | + | 0.480379i | ||||
\(965\) | −1.44623 | − | 0.834982i | −0.0465558 | − | 0.0268790i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.64032 | + | 4.64032i | 0.149223 | + | 0.149223i | 0.777771 | − | 0.628548i | \(-0.216350\pi\) |
−0.628548 | + | 0.777771i | \(0.716350\pi\) | |||||||
\(968\) | −7.57577 | + | 28.2732i | −0.243495 | + | 0.908734i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.91552 | − | 5.91552i | 0.189936 | − | 0.189936i | ||||
\(971\) | −16.2568 | + | 9.38587i | −0.521706 | + | 0.301207i | −0.737632 | − | 0.675203i | \(-0.764056\pi\) |
0.215926 | + | 0.976410i | \(0.430723\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.39211 | + | 0.394714i | 0.108746 | + | 0.0126539i | ||||
\(974\) | − | 0.513392i | − | 0.0164501i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | − | 0.439644i | − | 0.0140727i | ||||||
\(977\) | 17.6749 | − | 4.73598i | 0.565471 | − | 0.151517i | 0.0352523 | − | 0.999378i | \(-0.488777\pi\) |
0.530219 | + | 0.847861i | \(0.322110\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.25404 | + | 14.2964i | 0.263800 | + | 0.456915i | ||||
\(980\) | 15.3676 | − | 0.462966i | 0.490901 | − | 0.0147889i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −20.0777 | − | 5.37982i | −0.640707 | − | 0.171677i | ||||
\(983\) | −31.0006 | − | 31.0006i | −0.988766 | − | 0.988766i | 0.0111712 | − | 0.999938i | \(-0.496444\pi\) |
−0.999938 | + | 0.0111712i | \(0.996444\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.90497 | + | 13.6918i | −0.251873 | + | 0.436257i | ||||
\(986\) | 6.64992 | − | 1.78184i | 0.211777 | − | 0.0567453i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.28423 | + | 26.6625i | −0.104485 | + | 0.848246i | ||||
\(989\) | −2.80389 | −0.0891585 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 23.1539 | − | 40.1038i | 0.735509 | − | 1.27394i | −0.218991 | − | 0.975727i | \(-0.570277\pi\) |
0.954500 | − | 0.298212i | \(-0.0963901\pi\) | |||||||
\(992\) | −23.5895 | − | 40.8582i | −0.748968 | − | 1.29725i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.71381 | + | 3.64919i | −0.0860768 | + | 0.115745i | ||||
\(995\) | −2.85199 | − | 0.764187i | −0.0904140 | − | 0.0242264i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −39.3257 | + | 22.7047i | −1.24546 | + | 0.719065i | −0.970200 | − | 0.242305i | \(-0.922096\pi\) |
−0.275257 | + | 0.961371i | \(0.588763\pi\) | |||||||
\(998\) | 1.73624 | + | 1.00242i | 0.0549598 | + | 0.0317311i | ||||
\(999\) | 0 | 0 |
(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 | 819.2.fm.e.748.4 | 32 | ||
3.2 | odd | 2 | 273.2.by.d.202.5 | yes | 32 | ||
7.6 | odd | 2 | 819.2.fm.f.748.4 | 32 | |||
13.2 | odd | 12 | 819.2.fm.f.496.4 | 32 | |||
21.20 | even | 2 | 273.2.by.c.202.5 | ✓ | 32 | ||
39.2 | even | 12 | 273.2.by.c.223.5 | yes | 32 | ||
91.41 | even | 12 | inner | 819.2.fm.e.496.4 | 32 | ||
273.41 | odd | 12 | 273.2.by.d.223.5 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.202.5 | ✓ | 32 | 21.20 | even | 2 | ||
273.2.by.c.223.5 | yes | 32 | 39.2 | even | 12 | ||
273.2.by.d.202.5 | yes | 32 | 3.2 | odd | 2 | ||
273.2.by.d.223.5 | yes | 32 | 273.41 | odd | 12 | ||
819.2.fm.e.496.4 | 32 | 91.41 | even | 12 | inner | ||
819.2.fm.e.748.4 | 32 | 1.1 | even | 1 | trivial | ||
819.2.fm.f.496.4 | 32 | 13.2 | odd | 12 | |||
819.2.fm.f.748.4 | 32 | 7.6 | odd | 2 |