Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(229,819)]
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([4, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.229");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ep (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: | \(432\) |
Relative dimension: | \(108\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 229.13 | ||
Character | \(\chi\) | \(=\) | 819.229 |
Dual form | 819.2.ep.a.304.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.60407 | − | 1.60407i | −1.13425 | − | 1.13425i | −0.989464 | − | 0.144782i | \(-0.953752\pi\) |
−0.144782 | − | 0.989464i | \(-0.546248\pi\) | |||||||
\(3\) | 0.794613 | + | 1.53902i | 0.458770 | + | 0.888555i | ||||
\(4\) | 3.14605i | 1.57302i | ||||||||
\(5\) | 2.37922 | + | 0.637509i | 1.06402 | + | 0.285103i | 0.748033 | − | 0.663662i | \(-0.230999\pi\) |
0.315985 | + | 0.948764i | \(0.397665\pi\) | |||||||
\(6\) | 1.19408 | − | 3.74330i | 0.487482 | − | 1.52820i | ||||
\(7\) | −0.371203 | + | 2.61958i | −0.140301 | + | 0.990109i | ||||
\(8\) | 1.83834 | − | 1.83834i | 0.649951 | − | 0.649951i | ||||
\(9\) | −1.73718 | + | 2.44585i | −0.579060 | + | 0.815285i | ||||
\(10\) | −2.79381 | − | 4.83902i | −0.883480 | − | 1.53023i | ||||
\(11\) | −0.0542670 | − | 0.202527i | −0.0163621 | − | 0.0610642i | 0.957262 | − | 0.289222i | \(-0.0933965\pi\) |
−0.973624 | + | 0.228158i | \(0.926730\pi\) | |||||||
\(12\) | −4.84184 | + | 2.49989i | −1.39772 | + | 0.721656i | ||||
\(13\) | 0.522038 | + | 3.56756i | 0.144787 | + | 0.989463i | ||||
\(14\) | 4.79741 | − | 3.60655i | 1.28216 | − | 0.963890i | ||||
\(15\) | 0.909414 | + | 4.16824i | 0.234810 | + | 1.07623i | ||||
\(16\) | 0.394470 | 0.0986174 | ||||||||
\(17\) | −1.30624 | − | 2.26248i | −0.316810 | − | 0.548732i | 0.663010 | − | 0.748610i | \(-0.269279\pi\) |
−0.979821 | + | 0.199879i | \(0.935945\pi\) | |||||||
\(18\) | 6.70986 | − | 1.13676i | 1.58153 | − | 0.267936i | ||||
\(19\) | 0.123595 | + | 0.461262i | 0.0283546 | + | 0.105821i | 0.978653 | − | 0.205520i | \(-0.0658886\pi\) |
−0.950298 | + | 0.311341i | \(0.899222\pi\) | |||||||
\(20\) | −2.00563 | + | 7.48513i | −0.448473 | + | 1.67373i | ||||
\(21\) | −4.32656 | + | 1.51026i | −0.944132 | + | 0.329567i | ||||
\(22\) | −0.237819 | + | 0.411914i | −0.0507032 | + | 0.0878205i | ||||
\(23\) | 2.87312 | − | 1.65880i | 0.599087 | − | 0.345883i | −0.169595 | − | 0.985514i | \(-0.554246\pi\) |
0.768682 | + | 0.639631i | \(0.220913\pi\) | |||||||
\(24\) | 4.29001 | + | 1.36848i | 0.875695 | + | 0.279339i | ||||
\(25\) | 0.924120 | + | 0.533541i | 0.184824 | + | 0.106708i | ||||
\(26\) | 4.88521 | − | 6.55998i | 0.958069 | − | 1.28652i | ||||
\(27\) | −5.14461 | − | 0.730055i | −0.990081 | − | 0.140499i | ||||
\(28\) | −8.24134 | − | 1.16782i | −1.55747 | − | 0.220698i | ||||
\(29\) | 3.48198 | + | 6.03096i | 0.646587 | + | 1.11992i | 0.983933 | + | 0.178541i | \(0.0571376\pi\) |
−0.337346 | + | 0.941381i | \(0.609529\pi\) | |||||||
\(30\) | 5.22737 | − | 8.14489i | 0.954382 | − | 1.48705i | ||||
\(31\) | −4.83959 | + | 4.83959i | −0.869216 | + | 0.869216i | −0.992386 | − | 0.123169i | \(-0.960694\pi\) |
0.123169 | + | 0.992386i | \(0.460694\pi\) | |||||||
\(32\) | −4.30943 | − | 4.30943i | −0.761807 | − | 0.761807i | ||||
\(33\) | 0.268573 | − | 0.244449i | 0.0467525 | − | 0.0425531i | ||||
\(34\) | −1.53386 | + | 5.72446i | −0.263056 | + | 0.981737i | ||||
\(35\) | −2.55318 | + | 5.99590i | −0.431566 | + | 1.01349i | ||||
\(36\) | −7.69478 | − | 5.46526i | −1.28246 | − | 0.910877i | ||||
\(37\) | −2.81539 | − | 10.5072i | −0.462848 | − | 1.72737i | −0.663928 | − | 0.747797i | \(-0.731112\pi\) |
0.201080 | − | 0.979575i | \(-0.435555\pi\) | |||||||
\(38\) | 0.541640 | − | 0.938148i | 0.0878656 | − | 0.152188i | ||||
\(39\) | −5.07574 | + | 3.63826i | −0.812768 | + | 0.582587i | ||||
\(40\) | 5.54576 | − | 3.20185i | 0.876862 | − | 0.506256i | ||||
\(41\) | −1.04149 | − | 3.88691i | −0.162654 | − | 0.607033i | −0.998328 | − | 0.0578070i | \(-0.981589\pi\) |
0.835674 | − | 0.549226i | \(-0.185077\pi\) | |||||||
\(42\) | 9.36264 | + | 4.51752i | 1.44469 | + | 0.697068i | ||||
\(43\) | −6.49650 | + | 3.75075i | −0.990706 | + | 0.571985i | −0.905485 | − | 0.424378i | \(-0.860493\pi\) |
−0.0852209 | + | 0.996362i | \(0.527160\pi\) | |||||||
\(44\) | 0.637160 | − | 0.170727i | 0.0960555 | − | 0.0257380i | ||||
\(45\) | −5.69238 | + | 4.71174i | −0.848570 | + | 0.702385i | ||||
\(46\) | −7.26949 | − | 1.94785i | −1.07183 | − | 0.287195i | ||||
\(47\) | 0.671495 | + | 0.671495i | 0.0979476 | + | 0.0979476i | 0.754383 | − | 0.656435i | \(-0.227936\pi\) |
−0.656435 | + | 0.754383i | \(0.727936\pi\) | |||||||
\(48\) | 0.313451 | + | 0.607098i | 0.0452427 | + | 0.0876270i | ||||
\(49\) | −6.72442 | − | 1.94479i | −0.960631 | − | 0.277827i | ||||
\(50\) | −0.626514 | − | 2.33818i | −0.0886025 | − | 0.330669i | ||||
\(51\) | 2.44405 | − | 3.80813i | 0.342235 | − | 0.533245i | ||||
\(52\) | −11.2237 | + | 1.64236i | −1.55645 | + | 0.227754i | ||||
\(53\) | 4.32791 | + | 7.49617i | 0.594485 | + | 1.02968i | 0.993619 | + | 0.112785i | \(0.0359773\pi\) |
−0.399135 | + | 0.916892i | \(0.630689\pi\) | |||||||
\(54\) | 7.08124 | + | 9.42335i | 0.963634 | + | 1.28235i | ||||
\(55\) | − | 0.516451i | − | 0.0696383i | ||||||
\(56\) | 4.13328 | + | 5.49807i | 0.552333 | + | 0.734711i | ||||
\(57\) | −0.611682 | + | 0.556739i | −0.0810193 | + | 0.0737419i | ||||
\(58\) | 4.08874 | − | 15.2594i | 0.536877 | − | 2.00365i | ||||
\(59\) | 1.61352 | + | 1.61352i | 0.210062 | + | 0.210062i | 0.804294 | − | 0.594232i | \(-0.202544\pi\) |
−0.594232 | + | 0.804294i | \(0.702544\pi\) | |||||||
\(60\) | −13.1135 | + | 2.86106i | −1.69294 | + | 0.369362i | ||||
\(61\) | 11.7442i | 1.50370i | 0.659336 | + | 0.751849i | \(0.270838\pi\) | ||||
−0.659336 | + | 0.751849i | \(0.729162\pi\) | |||||||
\(62\) | 15.5260 | 1.97181 | ||||||||
\(63\) | −5.76227 | − | 5.45860i | −0.725978 | − | 0.687718i | ||||
\(64\) | 13.0363i | 1.62954i | ||||||||
\(65\) | −1.03231 | + | 8.82079i | −0.128042 | + | 1.09408i | ||||
\(66\) | −0.822920 | − | 0.0386962i | −0.101294 | − | 0.00476318i | ||||
\(67\) | −3.44321 | − | 3.44321i | −0.420655 | − | 0.420655i | 0.464774 | − | 0.885429i | \(-0.346136\pi\) |
−0.885429 | + | 0.464774i | \(0.846136\pi\) | |||||||
\(68\) | 7.11787 | − | 4.10950i | 0.863169 | − | 0.498351i | ||||
\(69\) | 4.83594 | + | 3.10370i | 0.582179 | + | 0.373641i | ||||
\(70\) | 13.7133 | − | 5.52236i | 1.63905 | − | 0.660048i | ||||
\(71\) | −2.65094 | − | 2.65094i | −0.314609 | − | 0.314609i | 0.532083 | − | 0.846692i | \(-0.321409\pi\) |
−0.846692 | + | 0.532083i | \(0.821409\pi\) | |||||||
\(72\) | 1.30278 | + | 7.68984i | 0.153534 | + | 0.906256i | ||||
\(73\) | 0.192693 | − | 0.719141i | 0.0225530 | − | 0.0841691i | −0.953732 | − | 0.300658i | \(-0.902794\pi\) |
0.976285 | + | 0.216489i | \(0.0694605\pi\) | |||||||
\(74\) | −12.3381 | + | 21.3703i | −1.43428 | + | 2.48425i | ||||
\(75\) | −0.0868141 | + | 1.84620i | −0.0100244 | + | 0.213181i | ||||
\(76\) | −1.45115 | + | 0.388835i | −0.166459 | + | 0.0446024i | ||||
\(77\) | 0.550680 | − | 0.0669782i | 0.0627558 | − | 0.00763287i | ||||
\(78\) | 13.9778 | + | 2.30581i | 1.58268 | + | 0.261082i | ||||
\(79\) | 3.53223 | 0.397407 | 0.198704 | − | 0.980060i | \(-0.436327\pi\) | ||||
0.198704 | + | 0.980060i | \(0.436327\pi\) | |||||||
\(80\) | 0.938528 | + | 0.251478i | 0.104931 | + | 0.0281161i | ||||
\(81\) | −2.96440 | − | 8.49778i | −0.329378 | − | 0.944198i | ||||
\(82\) | −4.56423 | + | 7.90548i | −0.504035 | + | 0.873014i | ||||
\(83\) | 14.7136 | + | 3.94250i | 1.61503 | + | 0.432746i | 0.949536 | − | 0.313657i | \(-0.101554\pi\) |
0.665494 | + | 0.746403i | \(0.268221\pi\) | |||||||
\(84\) | −4.75137 | − | 13.6116i | −0.518416 | − | 1.48514i | ||||
\(85\) | −1.66548 | − | 6.21566i | −0.180647 | − | 0.674183i | ||||
\(86\) | 16.4373 | + | 4.40435i | 1.77247 | + | 0.474933i | ||||
\(87\) | −6.51496 | + | 10.1511i | −0.698477 | + | 1.08831i | ||||
\(88\) | −0.472075 | − | 0.272552i | −0.0503233 | − | 0.0290542i | ||||
\(89\) | 5.03329 | − | 1.34867i | 0.533528 | − | 0.142958i | 0.0180108 | − | 0.999838i | \(-0.494267\pi\) |
0.515517 | + | 0.856880i | \(0.327600\pi\) | |||||||
\(90\) | 16.6889 | + | 1.57301i | 1.75916 | + | 0.165809i | ||||
\(91\) | −9.53929 | + | 0.0432337i | −0.999990 | + | 0.00453212i | ||||
\(92\) | 5.21866 | + | 9.03898i | 0.544083 | + | 0.942379i | ||||
\(93\) | −11.2938 | − | 3.60264i | −1.17112 | − | 0.373576i | ||||
\(94\) | − | 2.15424i | − | 0.222193i | ||||||
\(95\) | 1.17623i | 0.120679i | ||||||||
\(96\) | 3.20798 | − | 10.0566i | 0.327414 | − | 1.02640i | ||||
\(97\) | 15.2302 | + | 4.08091i | 1.54639 | + | 0.414354i | 0.928324 | − | 0.371772i | \(-0.121250\pi\) |
0.618066 | + | 0.786126i | \(0.287916\pi\) | |||||||
\(98\) | 7.66683 | + | 13.9060i | 0.774467 | + | 1.40472i | ||||
\(99\) | 0.589623 | + | 0.219097i | 0.0592594 | + | 0.0220201i | ||||
\(100\) | −1.67855 | + | 2.90733i | −0.167855 | + | 0.290733i | ||||
\(101\) | 1.62119 | − | 2.80798i | 0.161314 | − | 0.279404i | −0.774026 | − | 0.633154i | \(-0.781760\pi\) |
0.935340 | + | 0.353750i | \(0.115093\pi\) | |||||||
\(102\) | −10.0289 | + | 2.18808i | −0.993009 | + | 0.216652i | ||||
\(103\) | 3.08595 | + | 5.34502i | 0.304068 | + | 0.526660i | 0.977053 | − | 0.212995i | \(-0.0683218\pi\) |
−0.672986 | + | 0.739655i | \(0.734988\pi\) | |||||||
\(104\) | 7.51806 | + | 5.59870i | 0.737207 | + | 0.548998i | ||||
\(105\) | −11.2566 | + | 0.835024i | −1.09853 | + | 0.0814900i | ||||
\(106\) | 5.08208 | − | 18.9666i | 0.493616 | − | 1.84220i | ||||
\(107\) | 1.23525 | − | 2.13951i | 0.119416 | − | 0.206834i | −0.800120 | − | 0.599839i | \(-0.795231\pi\) |
0.919536 | + | 0.393005i | \(0.128565\pi\) | |||||||
\(108\) | 2.29679 | − | 16.1852i | 0.221009 | − | 1.55742i | ||||
\(109\) | 0.894237 | − | 3.33734i | 0.0856524 | − | 0.319659i | −0.909785 | − | 0.415081i | \(-0.863753\pi\) |
0.995437 | + | 0.0954217i | \(0.0304200\pi\) | |||||||
\(110\) | −0.828421 | + | 0.828421i | −0.0789869 | + | 0.0789869i | ||||
\(111\) | 13.9337 | − | 12.6821i | 1.32252 | − | 1.20373i | ||||
\(112\) | −0.146428 | + | 1.03335i | −0.0138362 | + | 0.0976420i | ||||
\(113\) | 4.96518 | − | 8.59995i | 0.467085 | − | 0.809015i | −0.532208 | − | 0.846614i | \(-0.678638\pi\) |
0.999293 | + | 0.0375988i | \(0.0119709\pi\) | |||||||
\(114\) | 1.87422 | + | 0.0881319i | 0.175537 | + | 0.00825430i | ||||
\(115\) | 7.89327 | − | 2.11499i | 0.736051 | − | 0.197224i | ||||
\(116\) | −18.9737 | + | 10.9545i | −1.76166 | + | 1.01710i | ||||
\(117\) | −9.63260 | − | 4.92067i | −0.890534 | − | 0.454916i | ||||
\(118\) | − | 5.17638i | − | 0.476524i | ||||||
\(119\) | 6.41163 | − | 2.58197i | 0.587753 | − | 0.236689i | ||||
\(120\) | 9.33445 | + | 5.99082i | 0.852114 | + | 0.546885i | ||||
\(121\) | 9.48821 | − | 5.47802i | 0.862564 | − | 0.498002i | ||||
\(122\) | 18.8385 | − | 18.8385i | 1.70556 | − | 1.70556i | ||||
\(123\) | 5.15446 | − | 4.69147i | 0.464762 | − | 0.423016i | ||||
\(124\) | −15.2256 | − | 15.2256i | −1.36730 | − | 1.36730i | ||||
\(125\) | −6.84999 | − | 6.84999i | −0.612682 | − | 0.612682i | ||||
\(126\) | 0.487111 | + | 17.9990i | 0.0433953 | + | 1.60348i | ||||
\(127\) | 12.2283i | 1.08508i | 0.840029 | + | 0.542542i | \(0.182538\pi\) | ||||
−0.840029 | + | 0.542542i | \(0.817462\pi\) | |||||||
\(128\) | 12.2922 | − | 12.2922i | 1.08649 | − | 1.08649i | ||||
\(129\) | −10.9347 | − | 7.01786i | −0.962746 | − | 0.617888i | ||||
\(130\) | 15.8050 | − | 12.4932i | 1.38619 | − | 1.09573i | ||||
\(131\) | −9.72422 | + | 5.61428i | −0.849609 | + | 0.490522i | −0.860519 | − | 0.509419i | \(-0.829860\pi\) |
0.0109101 | + | 0.999940i | \(0.496527\pi\) | |||||||
\(132\) | 0.769048 | + | 0.844943i | 0.0669370 | + | 0.0735428i | ||||
\(133\) | −1.25419 | + | 0.152545i | −0.108752 | + | 0.0132273i | ||||
\(134\) | 11.0463i | 0.954253i | ||||||||
\(135\) | −11.7747 | − | 5.01669i | −1.01341 | − | 0.431768i | ||||
\(136\) | −6.56052 | − | 1.75789i | −0.562560 | − | 0.150737i | ||||
\(137\) | −3.61485 | − | 13.4908i | −0.308837 | − | 1.15260i | −0.929592 | − | 0.368591i | \(-0.879840\pi\) |
0.620754 | − | 0.784005i | \(-0.286826\pi\) | |||||||
\(138\) | −2.77864 | − | 12.7357i | −0.236533 | − | 1.08413i | ||||
\(139\) | 9.34183 | + | 5.39351i | 0.792364 | + | 0.457471i | 0.840794 | − | 0.541355i | \(-0.182089\pi\) |
−0.0484303 | + | 0.998827i | \(0.515422\pi\) | |||||||
\(140\) | −18.8634 | − | 8.03242i | −1.59425 | − | 0.678864i | ||||
\(141\) | −0.499868 | + | 1.56702i | −0.0420964 | + | 0.131967i | ||||
\(142\) | 8.50457i | 0.713687i | ||||||||
\(143\) | 0.694198 | − | 0.299327i | 0.0580517 | − | 0.0250310i | ||||
\(144\) | −0.685265 | + | 0.964815i | −0.0571054 | + | 0.0804012i | ||||
\(145\) | 4.43958 | + | 16.5687i | 0.368687 | + | 1.37596i | ||||
\(146\) | −1.46264 | + | 0.844456i | −0.121049 | + | 0.0698877i | ||||
\(147\) | −2.35023 | − | 11.8944i | −0.193844 | − | 0.981032i | ||||
\(148\) | 33.0561 | − | 8.85737i | 2.71720 | − | 0.728071i | ||||
\(149\) | −4.95612 | + | 18.4965i | −0.406021 | + | 1.51529i | 0.396144 | + | 0.918189i | \(0.370348\pi\) |
−0.802165 | + | 0.597103i | \(0.796318\pi\) | |||||||
\(150\) | 3.10068 | − | 2.82217i | 0.253170 | − | 0.230429i | ||||
\(151\) | 4.69752 | + | 17.5314i | 0.382279 | + | 1.42668i | 0.842412 | + | 0.538834i | \(0.181135\pi\) |
−0.460133 | + | 0.887850i | \(0.652198\pi\) | |||||||
\(152\) | 1.07516 | + | 0.620746i | 0.0872073 | + | 0.0503492i | ||||
\(153\) | 7.80287 | + | 0.735457i | 0.630825 | + | 0.0594581i | ||||
\(154\) | −0.990765 | − | 0.775890i | −0.0798381 | − | 0.0625230i | ||||
\(155\) | −14.5997 | + | 8.42915i | −1.17268 | + | 0.677046i | ||||
\(156\) | −11.4461 | − | 15.9685i | −0.916424 | − | 1.27850i | ||||
\(157\) | 12.1380i | 0.968717i | 0.874870 | + | 0.484358i | \(0.160947\pi\) | ||||
−0.874870 | + | 0.484358i | \(0.839053\pi\) | |||||||
\(158\) | −5.66593 | − | 5.66593i | −0.450758 | − | 0.450758i | ||||
\(159\) | −8.09776 | + | 12.6173i | −0.642194 | + | 1.00062i | ||||
\(160\) | −7.50577 | − | 13.0004i | −0.593383 | − | 1.02777i | ||||
\(161\) | 3.27884 | + | 8.14212i | 0.258409 | + | 0.641689i | ||||
\(162\) | −8.87590 | + | 18.3861i | −0.697357 | + | 1.44455i | ||||
\(163\) | −2.86911 | − | 10.7077i | −0.224726 | − | 0.838690i | −0.982514 | − | 0.186189i | \(-0.940386\pi\) |
0.757788 | − | 0.652501i | \(-0.226280\pi\) | |||||||
\(164\) | 12.2284 | − | 3.27659i | 0.954879 | − | 0.255859i | ||||
\(165\) | 0.794830 | − | 0.410379i | 0.0618774 | − | 0.0319479i | ||||
\(166\) | −17.2776 | − | 29.9256i | −1.34100 | − | 2.32268i | ||||
\(167\) | −8.19443 | + | 2.19569i | −0.634104 | + | 0.169908i | −0.561531 | − | 0.827455i | \(-0.689788\pi\) |
−0.0725728 | + | 0.997363i | \(0.523121\pi\) | |||||||
\(168\) | −5.17730 | + | 10.7301i | −0.399438 | + | 0.827842i | ||||
\(169\) | −12.4550 | + | 3.72480i | −0.958073 | + | 0.286523i | ||||
\(170\) | −7.29879 | + | 12.6419i | −0.559791 | + | 0.969587i | ||||
\(171\) | −1.34289 | − | 0.499001i | −0.102693 | − | 0.0381595i | ||||
\(172\) | −11.8001 | − | 20.4383i | −0.899746 | − | 1.55841i | ||||
\(173\) | 18.1566 | 1.38042 | 0.690211 | − | 0.723608i | \(-0.257518\pi\) | ||||
0.690211 | + | 0.723608i | \(0.257518\pi\) | |||||||
\(174\) | 26.7335 | − | 5.83263i | 2.02666 | − | 0.442171i | ||||
\(175\) | −1.74069 | + | 2.22276i | −0.131584 | + | 0.168025i | ||||
\(176\) | −0.0214067 | − | 0.0798908i | −0.00161359 | − | 0.00602199i | ||||
\(177\) | −1.20112 | + | 3.76536i | −0.0902817 | + | 0.283022i | ||||
\(178\) | −10.2371 | − | 5.91038i | −0.767301 | − | 0.443001i | ||||
\(179\) | 1.35594 | − | 0.782854i | 0.101348 | − | 0.0585133i | −0.448469 | − | 0.893798i | \(-0.648031\pi\) |
0.549817 | + | 0.835285i | \(0.314697\pi\) | |||||||
\(180\) | −14.8234 | − | 17.9085i | −1.10487 | − | 1.33482i | ||||
\(181\) | 7.63912 | 0.567811 | 0.283906 | − | 0.958852i | \(-0.408370\pi\) | ||||
0.283906 | + | 0.958852i | \(0.408370\pi\) | |||||||
\(182\) | 15.3710 | + | 15.2323i | 1.13937 | + | 1.12909i | ||||
\(183\) | −18.0747 | + | 9.33213i | −1.33612 | + | 0.689851i | ||||
\(184\) | 2.23234 | − | 8.33120i | 0.164570 | − | 0.614184i | ||||
\(185\) | − | 26.7937i | − | 1.96991i | ||||||
\(186\) | 12.3372 | + | 23.8949i | 0.904607 | + | 1.75206i | ||||
\(187\) | −0.387327 | + | 0.387327i | −0.0283242 | + | 0.0283242i | ||||
\(188\) | −2.11256 | + | 2.11256i | −0.154074 | + | 0.154074i | ||||
\(189\) | 3.82213 | − | 13.2057i | 0.278019 | − | 0.960576i | ||||
\(190\) | 1.88676 | − | 1.88676i | 0.136880 | − | 0.136880i | ||||
\(191\) | 0.633811 | 0.0458610 | 0.0229305 | − | 0.999737i | \(-0.492700\pi\) | ||||
0.0229305 | + | 0.999737i | \(0.492700\pi\) | |||||||
\(192\) | −20.0631 | + | 10.3588i | −1.44793 | + | 0.747582i | ||||
\(193\) | 14.7457 | − | 14.7457i | 1.06142 | − | 1.06142i | 0.0634319 | − | 0.997986i | \(-0.479795\pi\) |
0.997986 | − | 0.0634319i | \(-0.0202046\pi\) | |||||||
\(194\) | −17.8841 | − | 30.9763i | −1.28401 | − | 2.22397i | ||||
\(195\) | −14.3957 | + | 5.42037i | −1.03090 | + | 0.388161i | ||||
\(196\) | 6.11841 | − | 21.1554i | 0.437029 | − | 1.51110i | ||||
\(197\) | −9.75420 | − | 9.75420i | −0.694958 | − | 0.694958i | 0.268361 | − | 0.963319i | \(-0.413518\pi\) |
−0.963319 | + | 0.268361i | \(0.913518\pi\) | |||||||
\(198\) | −0.594348 | − | 1.29724i | −0.0422385 | − | 0.0921909i | ||||
\(199\) | 6.29110 | + | 10.8965i | 0.445965 | + | 0.772433i | 0.998119 | − | 0.0613086i | \(-0.0195274\pi\) |
−0.552154 | + | 0.833742i | \(0.686194\pi\) | |||||||
\(200\) | 2.67968 | − | 0.718017i | 0.189482 | − | 0.0507715i | ||||
\(201\) | 2.56316 | − | 8.03520i | 0.180791 | − | 0.566759i | ||||
\(202\) | −7.10466 | + | 1.90369i | −0.499882 | + | 0.133943i | ||||
\(203\) | −17.0911 | + | 6.88262i | −1.19956 | + | 0.483065i | ||||
\(204\) | 11.9806 | + | 7.68910i | 0.838808 | + | 0.538345i | ||||
\(205\) | − | 9.91176i | − | 0.692267i | ||||||
\(206\) | 3.62370 | − | 13.5238i | 0.252475 | − | 0.942249i | ||||
\(207\) | −0.933956 | + | 9.90886i | −0.0649144 | + | 0.688713i | ||||
\(208\) | 0.205928 | + | 1.40729i | 0.0142785 | + | 0.0975782i | ||||
\(209\) | 0.0867109 | − | 0.0500626i | 0.00599792 | − | 0.00346290i | ||||
\(210\) | 19.3958 | + | 16.7169i | 1.33844 | + | 1.15358i | ||||
\(211\) | −10.4851 | + | 18.1608i | −0.721826 | + | 1.25024i | 0.238441 | + | 0.971157i | \(0.423364\pi\) |
−0.960267 | + | 0.279082i | \(0.909970\pi\) | |||||||
\(212\) | −23.5833 | + | 13.6158i | −1.61971 | + | 0.935139i | ||||
\(213\) | 1.97339 | − | 6.18633i | 0.135214 | − | 0.423880i | ||||
\(214\) | −5.41333 | + | 1.45050i | −0.370048 | + | 0.0991540i | ||||
\(215\) | −17.8477 | + | 4.78228i | −1.21720 | + | 0.326149i | ||||
\(216\) | −10.7996 | + | 8.11545i | −0.734821 | + | 0.552186i | ||||
\(217\) | −10.8812 | − | 14.4742i | −0.738667 | − | 0.982571i | ||||
\(218\) | −6.78773 | + | 3.91890i | −0.459723 | + | 0.265421i | ||||
\(219\) | 1.25989 | − | 0.274879i | 0.0851355 | − | 0.0185746i | ||||
\(220\) | 1.62478 | 0.109543 | ||||||||
\(221\) | 7.38962 | − | 5.84120i | 0.497079 | − | 0.392921i | ||||
\(222\) | −42.6934 | − | 2.00758i | −2.86539 | − | 0.134740i | ||||
\(223\) | −15.8221 | − | 4.23951i | −1.05952 | − | 0.283899i | −0.313342 | − | 0.949640i | \(-0.601449\pi\) |
−0.746182 | + | 0.665742i | \(0.768115\pi\) | |||||||
\(224\) | 12.8886 | − | 9.68924i | 0.861155 | − | 0.647389i | ||||
\(225\) | −2.91033 | + | 1.33341i | −0.194022 | + | 0.0888937i | ||||
\(226\) | −21.7593 | + | 5.83040i | −1.44741 | + | 0.387832i | ||||
\(227\) | −4.49494 | − | 16.7753i | −0.298340 | − | 1.11342i | −0.938529 | − | 0.345202i | \(-0.887811\pi\) |
0.640189 | − | 0.768218i | \(-0.278856\pi\) | |||||||
\(228\) | −1.75153 | − | 1.92438i | −0.115998 | − | 0.127445i | ||||
\(229\) | 4.82038 | − | 17.9899i | 0.318540 | − | 1.18881i | −0.602109 | − | 0.798414i | \(-0.705673\pi\) |
0.920649 | − | 0.390392i | \(-0.127661\pi\) | |||||||
\(230\) | −16.0539 | − | 9.26873i | −1.05856 | − | 0.611162i | ||||
\(231\) | 0.540659 | + | 0.794288i | 0.0355727 | + | 0.0522603i | ||||
\(232\) | 17.4880 | + | 4.68590i | 1.14814 | + | 0.307644i | ||||
\(233\) | −18.9197 | − | 10.9233i | −1.23947 | − | 0.715608i | −0.270483 | − | 0.962725i | \(-0.587183\pi\) |
−0.968986 | + | 0.247117i | \(0.920517\pi\) | |||||||
\(234\) | 7.55825 | + | 23.3444i | 0.494098 | + | 1.52607i | ||||
\(235\) | 1.16955 | + | 2.02572i | 0.0762928 | + | 0.132143i | ||||
\(236\) | −5.07621 | + | 5.07621i | −0.330433 | + | 0.330433i | ||||
\(237\) | 2.80676 | + | 5.43619i | 0.182319 | + | 0.353118i | ||||
\(238\) | −14.4263 | − | 6.14302i | −0.935119 | − | 0.398193i | ||||
\(239\) | 28.6743 | − | 7.68327i | 1.85479 | − | 0.496989i | 0.855022 | − | 0.518591i | \(-0.173543\pi\) |
0.999767 | + | 0.0216018i | \(0.00687660\pi\) | |||||||
\(240\) | 0.358736 | + | 1.64424i | 0.0231563 | + | 0.106135i | ||||
\(241\) | −5.35419 | + | 1.43465i | −0.344894 | + | 0.0924140i | −0.427108 | − | 0.904201i | \(-0.640468\pi\) |
0.0822140 | + | 0.996615i | \(0.473801\pi\) | |||||||
\(242\) | −24.0068 | − | 6.43260i | −1.54322 | − | 0.413503i | ||||
\(243\) | 10.7227 | − | 11.3147i | 0.687863 | − | 0.725840i | ||||
\(244\) | −36.9480 | −2.36535 | ||||||||
\(245\) | −14.7590 | − | 8.91395i | −0.942919 | − | 0.569491i | ||||
\(246\) | −15.7935 | − | 0.742660i | −1.00696 | − | 0.0473503i | ||||
\(247\) | −1.58106 | + | 0.681727i | −0.100600 | + | 0.0433773i | ||||
\(248\) | 17.7936i | 1.12990i | ||||||||
\(249\) | 5.62403 | + | 25.7774i | 0.356408 | + | 1.63357i | ||||
\(250\) | 21.9757i | 1.38986i | ||||||||
\(251\) | −8.28887 | −0.523189 | −0.261594 | − | 0.965178i | \(-0.584248\pi\) | ||||
−0.261594 | + | 0.965178i | \(0.584248\pi\) | |||||||
\(252\) | 17.1730 | − | 18.1284i | 1.08180 | − | 1.14198i | ||||
\(253\) | −0.491867 | − | 0.491867i | −0.0309234 | − | 0.0309234i | ||||
\(254\) | 19.6150 | − | 19.6150i | 1.23075 | − | 1.23075i | ||||
\(255\) | 8.24263 | − | 7.50226i | 0.516174 | − | 0.469810i | ||||
\(256\) | −13.3624 | −0.835147 | ||||||||
\(257\) | −3.86072 | − | 6.68696i | −0.240825 | − | 0.417121i | 0.720125 | − | 0.693845i | \(-0.244085\pi\) |
−0.960949 | + | 0.276724i | \(0.910751\pi\) | |||||||
\(258\) | 6.28286 | + | 28.7971i | 0.391154 | + | 1.79283i | ||||
\(259\) | 28.5695 | − | 3.47486i | 1.77522 | − | 0.215917i | ||||
\(260\) | −27.7507 | − | 3.24770i | −1.72102 | − | 0.201414i | ||||
\(261\) | −20.7997 | − | 1.96047i | −1.28747 | − | 0.121350i | ||||
\(262\) | 24.6039 | + | 6.59261i | 1.52004 | + | 0.407293i | ||||
\(263\) | −1.70634 | + | 2.95547i | −0.105218 | + | 0.182242i | −0.913827 | − | 0.406103i | \(-0.866887\pi\) |
0.808609 | + | 0.588346i | \(0.200221\pi\) | |||||||
\(264\) | 0.0443478 | − | 0.943107i | 0.00272942 | − | 0.0580442i | ||||
\(265\) | 5.51817 | + | 20.5941i | 0.338978 | + | 1.26508i | ||||
\(266\) | 2.25650 | + | 1.76711i | 0.138355 | + | 0.108349i | ||||
\(267\) | 6.07514 | + | 6.67468i | 0.371793 | + | 0.408484i | ||||
\(268\) | 10.8325 | − | 10.8325i | 0.661701 | − | 0.661701i | ||||
\(269\) | 21.0264 | − | 12.1396i | 1.28200 | − | 0.740164i | 0.304788 | − | 0.952420i | \(-0.401414\pi\) |
0.977214 | + | 0.212256i | \(0.0680811\pi\) | |||||||
\(270\) | 10.8403 | + | 26.9345i | 0.659721 | + | 1.63918i | ||||
\(271\) | 18.6499 | − | 4.99722i | 1.13290 | − | 0.303560i | 0.356807 | − | 0.934178i | \(-0.383865\pi\) |
0.776093 | + | 0.630618i | \(0.217199\pi\) | |||||||
\(272\) | −0.515273 | − | 0.892479i | −0.0312430 | − | 0.0541145i | ||||
\(273\) | −7.64658 | − | 14.6468i | −0.462792 | − | 0.886467i | ||||
\(274\) | −15.8417 | + | 27.4386i | −0.957030 | + | 1.65762i | ||||
\(275\) | 0.0579073 | − | 0.216113i | 0.00349194 | − | 0.0130321i | ||||
\(276\) | −9.76438 | + | 15.2141i | −0.587747 | + | 0.915782i | ||||
\(277\) | 7.52925 | + | 4.34701i | 0.452389 | + | 0.261187i | 0.708839 | − | 0.705371i | \(-0.249219\pi\) |
−0.256450 | + | 0.966558i | \(0.582553\pi\) | |||||||
\(278\) | −6.33337 | − | 23.6364i | −0.379850 | − | 1.41762i | ||||
\(279\) | −3.42969 | − | 20.2442i | −0.205330 | − | 1.21199i | ||||
\(280\) | 6.32890 | + | 15.7161i | 0.378224 | + | 0.939217i | ||||
\(281\) | 21.4074 | + | 5.73611i | 1.27706 | + | 0.342187i | 0.832732 | − | 0.553676i | \(-0.186776\pi\) |
0.444329 | + | 0.895864i | \(0.353442\pi\) | |||||||
\(282\) | 3.31543 | − | 1.71179i | 0.197431 | − | 0.101936i | ||||
\(283\) | −2.25158 | −0.133843 | −0.0669213 | − | 0.997758i | \(-0.521318\pi\) | ||||
−0.0669213 | + | 0.997758i | \(0.521318\pi\) | |||||||
\(284\) | 8.34000 | − | 8.34000i | 0.494888 | − | 0.494888i | ||||
\(285\) | −1.81025 | + | 0.934650i | −0.107230 | + | 0.0553639i | ||||
\(286\) | −1.59368 | − | 0.633398i | −0.0942362 | − | 0.0374536i | ||||
\(287\) | 10.5687 | − | 1.28545i | 0.623850 | − | 0.0758776i | ||||
\(288\) | 18.0265 | − | 3.05398i | 1.06222 | − | 0.179957i | ||||
\(289\) | 5.08746 | − | 8.81174i | 0.299262 | − | 0.518338i | ||||
\(290\) | 19.4560 | − | 33.6987i | 1.14249 | − | 1.97886i | ||||
\(291\) | 5.82148 | + | 26.6823i | 0.341261 | + | 1.56415i | ||||
\(292\) | 2.26245 | + | 0.606223i | 0.132400 | + | 0.0354765i | ||||
\(293\) | −4.31819 | + | 1.15706i | −0.252271 | + | 0.0675959i | −0.382738 | − | 0.923857i | \(-0.625019\pi\) |
0.130467 | + | 0.991453i | \(0.458352\pi\) | |||||||
\(294\) | −15.3094 | + | 22.8493i | −0.892865 | + | 1.33260i | ||||
\(295\) | 2.81028 | + | 4.86754i | 0.163621 | + | 0.283399i | ||||
\(296\) | −24.4914 | − | 14.1401i | −1.42353 | − | 0.821878i | ||||
\(297\) | 0.131327 | + | 1.08154i | 0.00762034 | + | 0.0627574i | ||||
\(298\) | 37.6195 | − | 21.7196i | 2.17924 | − | 1.25818i | ||||
\(299\) | 7.41773 | + | 9.38407i | 0.428978 | + | 0.542695i | ||||
\(300\) | −5.80824 | − | 0.273121i | −0.335339 | − | 0.0157687i | ||||
\(301\) | −7.41389 | − | 18.4104i | −0.427329 | − | 1.06116i | ||||
\(302\) | 20.5864 | − | 35.6566i | 1.18461 | − | 2.05181i | ||||
\(303\) | 5.60975 | + | 0.263788i | 0.322272 | + | 0.0151542i | ||||
\(304\) | 0.0487543 | + | 0.181954i | 0.00279625 | + | 0.0104358i | ||||
\(305\) | −7.48706 | + | 27.9421i | −0.428708 | + | 1.59996i | ||||
\(306\) | −11.3366 | − | 13.6960i | −0.648070 | − | 0.782950i | ||||
\(307\) | −8.59086 | − | 8.59086i | −0.490306 | − | 0.490306i | 0.418096 | − | 0.908403i | \(-0.362697\pi\) |
−0.908403 | + | 0.418096i | \(0.862697\pi\) | |||||||
\(308\) | 0.210717 | + | 1.73247i | 0.0120067 | + | 0.0987165i | ||||
\(309\) | −5.77397 | + | 8.99657i | −0.328470 | + | 0.511797i | ||||
\(310\) | 36.9398 | + | 9.89799i | 2.09804 | + | 0.562168i | ||||
\(311\) | −2.07088 | −0.117429 | −0.0587145 | − | 0.998275i | \(-0.518700\pi\) | ||||
−0.0587145 | + | 0.998275i | \(0.518700\pi\) | |||||||
\(312\) | −2.64258 | + | 16.0193i | −0.149606 | + | 0.906913i | ||||
\(313\) | − | 25.4445i | − | 1.43821i | −0.694902 | − | 0.719104i | \(-0.744552\pi\) | ||
0.694902 | − | 0.719104i | \(-0.255448\pi\) | |||||||
\(314\) | 19.4701 | − | 19.4701i | 1.09876 | − | 1.09876i | ||||
\(315\) | −10.2298 | − | 16.6607i | −0.576382 | − | 0.938722i | ||||
\(316\) | 11.1126i | 0.625132i | ||||||||
\(317\) | −18.1166 | − | 18.1166i | −1.01753 | − | 1.01753i | −0.999844 | − | 0.0176869i | \(-0.994370\pi\) |
−0.0176869 | − | 0.999844i | \(-0.505630\pi\) | |||||||
\(318\) | 33.2283 | − | 7.24966i | 1.86335 | − | 0.406541i | ||||
\(319\) | 1.03248 | − | 1.03248i | 0.0578076 | − | 0.0578076i | ||||
\(320\) | −8.31074 | + | 31.0161i | −0.464585 | + | 1.73385i | ||||
\(321\) | 4.27430 | + | 0.200991i | 0.238568 | + | 0.0112182i | ||||
\(322\) | 7.80101 | − | 18.3200i | 0.434734 | − | 1.02093i | ||||
\(323\) | 0.882150 | − | 0.882150i | 0.0490841 | − | 0.0490841i | ||||
\(324\) | 26.7345 | − | 9.32616i | 1.48525 | − | 0.518120i | ||||
\(325\) | −1.42101 | + | 3.57538i | −0.0788236 | + | 0.198326i | ||||
\(326\) | −12.5736 | + | 21.7780i | −0.696385 | + | 1.20617i | ||||
\(327\) | 5.84681 | − | 1.27564i | 0.323330 | − | 0.0705431i | ||||
\(328\) | −9.06008 | − | 5.23084i | −0.500259 | − | 0.288825i | ||||
\(329\) | −2.00830 | + | 1.50978i | −0.110721 | + | 0.0832366i | ||||
\(330\) | −1.93323 | − | 0.616685i | −0.106421 | − | 0.0339474i | ||||
\(331\) | 12.0576 | + | 12.0576i | 0.662746 | + | 0.662746i | 0.956026 | − | 0.293280i | \(-0.0947469\pi\) |
−0.293280 | + | 0.956026i | \(0.594747\pi\) | |||||||
\(332\) | −12.4033 | + | 46.2898i | −0.680720 | + | 2.54048i | ||||
\(333\) | 30.5899 | + | 11.3669i | 1.67632 | + | 0.622900i | ||||
\(334\) | 16.6664 | + | 9.62237i | 0.911947 | + | 0.526513i | ||||
\(335\) | −5.99707 | − | 10.3872i | −0.327655 | − | 0.567515i | ||||
\(336\) | −1.70670 | + | 0.595753i | −0.0931079 | + | 0.0325010i | ||||
\(337\) | 17.6057 | + | 10.1647i | 0.959045 | + | 0.553705i | 0.895879 | − | 0.444298i | \(-0.146547\pi\) |
0.0631658 | + | 0.998003i | \(0.479880\pi\) | |||||||
\(338\) | 25.9534 | + | 14.0037i | 1.41168 | + | 0.761703i | ||||
\(339\) | 17.1809 | + | 0.807900i | 0.933139 | + | 0.0438791i | ||||
\(340\) | 19.5548 | − | 5.23969i | 1.06051 | − | 0.284162i | ||||
\(341\) | 1.24278 | + | 0.717519i | 0.0673002 | + | 0.0388558i | ||||
\(342\) | 1.35365 | + | 2.95450i | 0.0731968 | + | 0.159761i | ||||
\(343\) | 7.59066 | − | 16.8932i | 0.409857 | − | 0.912150i | ||||
\(344\) | −5.04760 | + | 18.8379i | −0.272149 | + | 1.01567i | ||||
\(345\) | 9.52712 | + | 10.4673i | 0.512923 | + | 0.563541i | ||||
\(346\) | −29.1244 | − | 29.1244i | −1.56574 | − | 1.56574i | ||||
\(347\) | 2.47822 | 0.133038 | 0.0665190 | − | 0.997785i | \(-0.478811\pi\) | ||||
0.0665190 | + | 0.997785i | \(0.478811\pi\) | |||||||
\(348\) | −31.9359 | − | 20.4964i | −1.71195 | − | 1.09872i | ||||
\(349\) | −7.18182 | + | 26.8029i | −0.384434 | + | 1.43473i | 0.454624 | + | 0.890684i | \(0.349774\pi\) |
−0.839057 | + | 0.544043i | \(0.816893\pi\) | |||||||
\(350\) | 6.35763 | − | 0.773266i | 0.339829 | − | 0.0413328i | ||||
\(351\) | −0.0811683 | − | 18.7348i | −0.00433244 | − | 0.999991i | ||||
\(352\) | −0.638917 | + | 1.10664i | −0.0340544 | + | 0.0589839i | ||||
\(353\) | −1.19155 | − | 4.44694i | −0.0634200 | − | 0.236687i | 0.926939 | − | 0.375213i | \(-0.122430\pi\) |
−0.990359 | + | 0.138526i | \(0.955764\pi\) | |||||||
\(354\) | 7.96656 | − | 4.11322i | 0.423418 | − | 0.218615i | ||||
\(355\) | −4.61716 | − | 7.99716i | −0.245054 | − | 0.424445i | ||||
\(356\) | 4.24297 | + | 15.8350i | 0.224877 | + | 0.839252i | ||||
\(357\) | 9.06847 | + | 7.81597i | 0.479954 | + | 0.413665i | ||||
\(358\) | −3.43077 | − | 0.919272i | −0.181322 | − | 0.0485850i | ||||
\(359\) | 7.63807 | + | 28.5057i | 0.403122 | + | 1.50447i | 0.807493 | + | 0.589877i | \(0.200824\pi\) |
−0.404371 | + | 0.914595i | \(0.632510\pi\) | |||||||
\(360\) | −1.80274 | + | 19.1263i | −0.0950129 | + | 1.00804i | ||||
\(361\) | 16.2570 | − | 9.38598i | 0.855631 | − | 0.493999i | ||||
\(362\) | −12.2536 | − | 12.2536i | −0.644037 | − | 0.644037i | ||||
\(363\) | 15.9702 | + | 10.2497i | 0.838220 | + | 0.537968i | ||||
\(364\) | −0.136015 | − | 30.0111i | −0.00712914 | − | 1.57301i | ||||
\(365\) | 0.916917 | − | 1.58815i | 0.0479936 | − | 0.0831274i | ||||
\(366\) | 43.9623 | + | 14.0236i | 2.29795 | + | 0.733025i | ||||
\(367\) | 21.6774 | + | 12.5155i | 1.13155 | + | 0.653303i | 0.944325 | − | 0.329014i | \(-0.106716\pi\) |
0.187228 | + | 0.982316i | \(0.440050\pi\) | |||||||
\(368\) | 1.13336 | − | 0.654345i | 0.0590804 | − | 0.0341101i | ||||
\(369\) | 11.3161 | + | 4.20492i | 0.589091 | + | 0.218900i | ||||
\(370\) | −42.9788 | + | 42.9788i | −2.23436 | + | 2.23436i | ||||
\(371\) | −21.2434 | + | 8.55473i | −1.10290 | + | 0.444139i | ||||
\(372\) | 11.3341 | − | 35.5310i | 0.587645 | − | 1.84220i | ||||
\(373\) | 5.42051 | + | 9.38860i | 0.280664 | + | 0.486124i | 0.971548 | − | 0.236841i | \(-0.0761122\pi\) |
−0.690885 | + | 0.722965i | \(0.742779\pi\) | |||||||
\(374\) | 1.24260 | 0.0642531 | ||||||||
\(375\) | 5.09920 | − | 15.9854i | 0.263322 | − | 0.825481i | ||||
\(376\) | 2.46887 | 0.127322 | ||||||||
\(377\) | −19.6981 | + | 15.5706i | −1.01450 | + | 0.801924i | ||||
\(378\) | −27.3138 | + | 15.0519i | −1.40487 | + | 0.774187i | ||||
\(379\) | −15.8038 | − | 15.8038i | −0.811789 | − | 0.811789i | 0.173113 | − | 0.984902i | \(-0.444617\pi\) |
−0.984902 | + | 0.173113i | \(0.944617\pi\) | |||||||
\(380\) | −3.70049 | −0.189831 | ||||||||
\(381\) | −18.8196 | + | 9.71675i | −0.964157 | + | 0.497804i | ||||
\(382\) | −1.01667 | − | 1.01667i | −0.0520176 | − | 0.0520176i | ||||
\(383\) | 9.31758 | + | 2.49664i | 0.476106 | + | 0.127572i | 0.488889 | − | 0.872346i | \(-0.337402\pi\) |
−0.0127827 | + | 0.999918i | \(0.504069\pi\) | |||||||
\(384\) | 28.6855 | + | 9.15042i | 1.46385 | + | 0.466955i | ||||
\(385\) | 1.35289 | + | 0.191708i | 0.0689495 | + | 0.00977034i | ||||
\(386\) | −47.3061 | −2.40782 | ||||||||
\(387\) | 2.11180 | − | 22.4052i | 0.107349 | − | 1.13892i | ||||
\(388\) | −12.8388 | + | 47.9149i | −0.651789 | + | 2.43251i | ||||
\(389\) | −19.7910 | − | 11.4264i | −1.00345 | − | 0.579339i | −0.0941795 | − | 0.995555i | \(-0.530023\pi\) |
−0.909266 | + | 0.416216i | \(0.863356\pi\) | |||||||
\(390\) | 31.7862 | + | 14.3970i | 1.60956 | + | 0.729020i | ||||
\(391\) | −7.50598 | − | 4.33358i | −0.379594 | − | 0.219159i | ||||
\(392\) | −15.9369 | + | 8.78657i | −0.804937 | + | 0.443789i | ||||
\(393\) | −16.3675 | − | 10.5046i | −0.825631 | − | 0.529888i | ||||
\(394\) | 31.2927i | 1.57651i | ||||||||
\(395\) | 8.40395 | + | 2.25183i | 0.422848 | + | 0.113302i | ||||
\(396\) | −0.689291 | + | 1.85498i | −0.0346382 | + | 0.0932165i | ||||
\(397\) | −17.6449 | + | 4.72794i | −0.885573 | + | 0.237289i | −0.672810 | − | 0.739815i | \(-0.734913\pi\) |
−0.212763 | + | 0.977104i | \(0.568246\pi\) | |||||||
\(398\) | 7.38738 | − | 27.5701i | 0.370296 | − | 1.38196i | ||||
\(399\) | −1.23137 | − | 1.80901i | −0.0616454 | − | 0.0905640i | ||||
\(400\) | 0.364537 | + | 0.210466i | 0.0182269 | + | 0.0105233i | ||||
\(401\) | −10.0053 | − | 2.68092i | −0.499642 | − | 0.133879i | 0.000191909 | − | 1.00000i | \(-0.499939\pi\) |
−0.499834 | + | 0.866121i | \(0.666606\pi\) | |||||||
\(402\) | −17.0005 | + | 8.77751i | −0.847906 | + | 0.437782i | ||||
\(403\) | −19.7920 | − | 14.7391i | −0.985909 | − | 0.734206i | ||||
\(404\) | 8.83403 | + | 5.10033i | 0.439509 | + | 0.253751i | ||||
\(405\) | −1.63554 | − | 22.1079i | −0.0812706 | − | 1.09855i | ||||
\(406\) | 38.4554 | + | 16.3751i | 1.90851 | + | 0.812683i | ||||
\(407\) | −1.97521 | + | 1.14039i | −0.0979074 | + | 0.0565269i | ||||
\(408\) | −2.50765 | − | 11.4936i | −0.124147 | − | 0.569019i | ||||
\(409\) | 13.9954 | − | 13.9954i | 0.692030 | − | 0.692030i | −0.270649 | − | 0.962678i | \(-0.587238\pi\) |
0.962678 | + | 0.270649i | \(0.0872381\pi\) | |||||||
\(410\) | −15.8991 | + | 15.8991i | −0.785201 | + | 0.785201i | ||||
\(411\) | 17.8902 | − | 16.2833i | 0.882460 | − | 0.803195i | ||||
\(412\) | −16.8157 | + | 9.70855i | −0.828450 | + | 0.478306i | ||||
\(413\) | −4.82569 | + | 3.62780i | −0.237457 | + | 0.178512i | ||||
\(414\) | 17.3926 | − | 14.3963i | 0.854799 | − | 0.707541i | ||||
\(415\) | 32.4935 | + | 18.7601i | 1.59504 | + | 0.920899i | ||||
\(416\) | 13.1245 | − | 17.6238i | 0.643480 | − | 0.864080i | ||||
\(417\) | −0.877594 | + | 18.6630i | −0.0429760 | + | 0.913933i | ||||
\(418\) | −0.219393 | − | 0.0587863i | −0.0107309 | − | 0.00287533i | ||||
\(419\) | 26.1346 | + | 15.0888i | 1.27676 | + | 0.737138i | 0.976251 | − | 0.216641i | \(-0.0695102\pi\) |
0.300509 | + | 0.953779i | \(0.402843\pi\) | |||||||
\(420\) | −2.62703 | − | 35.4139i | −0.128186 | − | 1.72802i | ||||
\(421\) | −1.98760 | + | 7.41783i | −0.0968698 | + | 0.361523i | −0.997296 | − | 0.0734851i | \(-0.976588\pi\) |
0.900426 | + | 0.435008i | \(0.143255\pi\) | |||||||
\(422\) | 45.9499 | − | 12.3122i | 2.23681 | − | 0.599350i | ||||
\(423\) | −2.80889 | + | 0.475870i | −0.136573 | + | 0.0231376i | ||||
\(424\) | 21.7367 | + | 5.82432i | 1.05563 | + | 0.282854i | ||||
\(425\) | − | 2.78774i | − | 0.135225i | ||||||
\(426\) | −13.0887 | + | 6.75784i | −0.634151 | + | 0.327418i | ||||
\(427\) | −30.7650 | − | 4.35950i | −1.48882 | − | 0.210971i | ||||
\(428\) | 6.73101 | + | 3.88615i | 0.325355 | + | 0.187844i | ||||
\(429\) | 1.01229 | + | 0.830537i | 0.0488738 | + | 0.0400987i | ||||
\(430\) | 36.3000 | + | 20.9578i | 1.75054 | + | 1.01067i | ||||
\(431\) | 9.38030 | − | 35.0078i | 0.451833 | − | 1.68627i | −0.245401 | − | 0.969422i | \(-0.578920\pi\) |
0.697234 | − | 0.716843i | \(-0.254414\pi\) | |||||||
\(432\) | −2.02939 | − | 0.287984i | −0.0976392 | − | 0.0138557i | ||||
\(433\) | 32.4764 | 1.56072 | 0.780358 | − | 0.625333i | \(-0.215037\pi\) | ||||
0.780358 | + | 0.625333i | \(0.215037\pi\) | |||||||
\(434\) | −5.76331 | + | 40.6717i | −0.276648 | + | 1.95231i | ||||
\(435\) | −21.9719 | + | 19.9984i | −1.05347 | + | 0.958848i | ||||
\(436\) | 10.4994 | + | 2.81332i | 0.502832 | + | 0.134733i | ||||
\(437\) | 1.12024 | + | 1.12024i | 0.0535884 | + | 0.0535884i | ||||
\(438\) | −2.46187 | − | 1.58002i | −0.117633 | − | 0.0754964i | ||||
\(439\) | −34.2316 | −1.63378 | −0.816892 | − | 0.576790i | \(-0.804305\pi\) | ||||
−0.816892 | + | 0.576790i | \(0.804305\pi\) | |||||||
\(440\) | −0.949412 | − | 0.949412i | −0.0452615 | − | 0.0452615i | ||||
\(441\) | 16.4382 | − | 13.0685i | 0.782772 | − | 0.622309i | ||||
\(442\) | −21.2231 | − | 2.48377i | −1.00948 | − | 0.118141i | ||||
\(443\) | −37.9683 | −1.80393 | −0.901965 | − | 0.431809i | \(-0.857876\pi\) | ||||
−0.901965 | + | 0.431809i | \(0.857876\pi\) | |||||||
\(444\) | 39.8985 | + | 43.8360i | 1.89350 | + | 2.08036i | ||||
\(445\) | 12.8351 | 0.608440 | ||||||||
\(446\) | 18.5792 | + | 32.1801i | 0.879750 | + | 1.52377i | ||||
\(447\) | −32.4047 | + | 7.06996i | −1.53269 | + | 0.334398i | ||||
\(448\) | −34.1496 | − | 4.83910i | −1.61342 | − | 0.228626i | ||||
\(449\) | 2.15888 | − | 2.15888i | 0.101884 | − | 0.101884i | −0.654327 | − | 0.756211i | \(-0.727048\pi\) |
0.756211 | + | 0.654327i | \(0.227048\pi\) | |||||||
\(450\) | 6.80722 | + | 2.52949i | 0.320896 | + | 0.119241i | ||||
\(451\) | −0.730686 | + | 0.421862i | −0.0344066 | + | 0.0198647i | ||||
\(452\) | 27.0559 | + | 15.6207i | 1.27260 | + | 0.734736i | ||||
\(453\) | −23.2485 | + | 21.1603i | −1.09231 | + | 0.994195i | ||||
\(454\) | −19.6986 | + | 34.1189i | −0.924500 | + | 1.60128i | ||||
\(455\) | −22.7236 | − | 5.97852i | −1.06530 | − | 0.280277i | ||||
\(456\) | −0.101004 | + | 2.14795i | −0.00472992 | + | 0.100587i | ||||
\(457\) | −8.64325 | − | 8.64325i | −0.404314 | − | 0.404314i | 0.475436 | − | 0.879750i | \(-0.342290\pi\) |
−0.879750 | + | 0.475436i | \(0.842290\pi\) | |||||||
\(458\) | −36.5892 | + | 21.1248i | −1.70970 | + | 0.987096i | ||||
\(459\) | 5.06838 | + | 12.5932i | 0.236572 | + | 0.587800i | ||||
\(460\) | 6.65388 | + | 24.8326i | 0.310239 | + | 1.15783i | ||||
\(461\) | 33.6672 | + | 9.02109i | 1.56804 | + | 0.420154i | 0.935197 | − | 0.354129i | \(-0.115223\pi\) |
0.632840 | + | 0.774283i | \(0.281889\pi\) | |||||||
\(462\) | 0.406838 | − | 2.14134i | 0.0189278 | − | 0.0996242i | ||||
\(463\) | 7.52337 | + | 28.0776i | 0.349641 | + | 1.30488i | 0.887096 | + | 0.461585i | \(0.152719\pi\) |
−0.537455 | + | 0.843292i | \(0.680614\pi\) | |||||||
\(464\) | 1.37353 | + | 2.37903i | 0.0637647 | + | 0.110444i | ||||
\(465\) | −24.5738 | − | 15.7714i | −1.13958 | − | 0.731380i | ||||
\(466\) | 12.8267 | + | 47.8700i | 0.594187 | + | 2.21754i | ||||
\(467\) | −11.8083 | + | 20.4526i | −0.546423 | + | 0.946432i | 0.452093 | + | 0.891971i | \(0.350677\pi\) |
−0.998516 | + | 0.0544613i | \(0.982656\pi\) | |||||||
\(468\) | 15.4807 | − | 30.3046i | 0.715594 | − | 1.40083i | ||||
\(469\) | 10.2979 | − | 7.74165i | 0.475513 | − | 0.357476i | ||||
\(470\) | 1.37335 | − | 5.12541i | 0.0633479 | − | 0.236417i | ||||
\(471\) | −18.6806 | + | 9.64500i | −0.860758 | + | 0.444418i | ||||
\(472\) | 5.93239 | 0.273060 | ||||||||
\(473\) | 1.11217 | + | 1.11217i | 0.0511378 | + | 0.0511378i | ||||
\(474\) | 4.21778 | − | 13.2222i | 0.193729 | − | 0.607317i | ||||
\(475\) | −0.131886 | + | 0.492204i | −0.00605133 | + | 0.0225839i | ||||
\(476\) | 8.12301 | + | 20.1713i | 0.372318 | + | 0.924550i | ||||
\(477\) | −25.8529 | − | 2.43676i | −1.18372 | − | 0.111571i | ||||
\(478\) | −58.3200 | − | 33.6711i | −2.66749 | − | 1.54008i | ||||
\(479\) | 5.38069 | − | 1.44175i | 0.245850 | − | 0.0658753i | −0.133790 | − | 0.991010i | \(-0.542715\pi\) |
0.379640 | + | 0.925134i | \(0.376048\pi\) | |||||||
\(480\) | 14.0437 | − | 21.8818i | 0.641004 | − | 0.998763i | ||||
\(481\) | 36.0153 | − | 15.5292i | 1.64216 | − | 0.708072i | ||||
\(482\) | 10.8897 | + | 6.28720i | 0.496014 | + | 0.286374i | ||||
\(483\) | −9.92550 | + | 11.5160i | −0.451626 | + | 0.523998i | ||||
\(484\) | 17.2341 | + | 29.8504i | 0.783369 | + | 1.35684i | ||||
\(485\) | 33.6343 | + | 19.4187i | 1.52725 | + | 0.881760i | ||||
\(486\) | −35.3495 | + | 0.949608i | −1.60349 | + | 0.0430751i | ||||
\(487\) | 4.90225 | − | 18.2954i | 0.222142 | − | 0.829046i | −0.761387 | − | 0.648297i | \(-0.775481\pi\) |
0.983529 | − | 0.180748i | \(-0.0578520\pi\) | |||||||
\(488\) | 21.5899 | + | 21.5899i | 0.977329 | + | 0.977329i | ||||
\(489\) | 14.1995 | − | 12.9241i | 0.642124 | − | 0.584447i | ||||
\(490\) | 9.37586 | + | 37.9730i | 0.423558 | + | 1.71544i | ||||
\(491\) | −8.74371 | − | 5.04818i | −0.394598 | − | 0.227821i | 0.289552 | − | 0.957162i | \(-0.406494\pi\) |
−0.684151 | + | 0.729341i | \(0.739827\pi\) | |||||||
\(492\) | 14.7596 | + | 16.2162i | 0.665414 | + | 0.731082i | ||||
\(493\) | 9.09661 | − | 15.7558i | 0.409691 | − | 0.709605i | ||||
\(494\) | 3.62965 | + | 1.44258i | 0.163306 | + | 0.0649049i | ||||
\(495\) | 1.26316 | + | 0.897169i | 0.0567750 | + | 0.0403248i | ||||
\(496\) | −1.90907 | + | 1.90907i | −0.0857199 | + | 0.0857199i | ||||
\(497\) | 7.92840 | − | 5.96032i | 0.355637 | − | 0.267357i | ||||
\(498\) | 32.3273 | − | 50.3699i | 1.44862 | − | 2.25713i | ||||
\(499\) | −3.75374 | + | 14.0091i | −0.168040 | + | 0.627135i | 0.829593 | + | 0.558369i | \(0.188573\pi\) |
−0.997633 | + | 0.0687657i | \(0.978094\pi\) | |||||||
\(500\) | 21.5504 | − | 21.5504i | 0.963763 | − | 0.963763i | ||||
\(501\) | −9.89062 | − | 10.8667i | −0.441880 | − | 0.485488i | ||||
\(502\) | 13.2959 | + | 13.2959i | 0.593424 | + | 0.593424i | ||||
\(503\) | − | 40.4517i | − | 1.80365i | −0.432099 | − | 0.901826i | \(-0.642227\pi\) | ||
0.432099 | − | 0.901826i | \(-0.357773\pi\) | |||||||
\(504\) | −20.6277 | + | 0.558253i | −0.918833 | + | 0.0248666i | ||||
\(505\) | 5.64726 | − | 5.64726i | 0.251300 | − | 0.251300i | ||||
\(506\) | 1.57797i | 0.0701494i | ||||||||
\(507\) | −15.6294 | − | 16.2087i | −0.694127 | − | 0.719853i | ||||
\(508\) | −38.4708 | −1.70687 | ||||||||
\(509\) | −5.91293 | − | 1.58436i | −0.262086 | − | 0.0702257i | 0.125383 | − | 0.992108i | \(-0.459984\pi\) |
−0.387469 | + | 0.921883i | \(0.626651\pi\) | |||||||
\(510\) | −25.2558 | − | 1.18761i | −1.11835 | − | 0.0525882i | ||||
\(511\) | 1.81232 | + | 0.771723i | 0.0801723 | + | 0.0341390i | ||||
\(512\) | −3.15028 | − | 3.15028i | −0.139224 | − | 0.139224i | ||||
\(513\) | −0.299100 | − | 2.46324i | −0.0132056 | − | 0.108755i | ||||
\(514\) | −4.53347 | + | 16.9192i | −0.199963 | + | 0.746272i | ||||
\(515\) | 3.93464 | + | 14.6843i | 0.173381 | + | 0.647066i | ||||
\(516\) | 22.0785 | − | 34.4011i | 0.971953 | − | 1.51442i | ||||
\(517\) | 0.0995559 | − | 0.172436i | 0.00437847 | − | 0.00758372i | ||||
\(518\) | −51.4013 | − | 40.2535i | −2.25844 | − | 1.76864i | ||||
\(519\) | 14.4275 | + | 27.9434i | 0.633296 | + | 1.22658i | ||||
\(520\) | 14.3179 | + | 18.1133i | 0.627880 | + | 0.794323i | ||||
\(521\) | 11.9848 | − | 6.91942i | 0.525063 | − | 0.303145i | −0.213941 | − | 0.976847i | \(-0.568630\pi\) |
0.739004 | + | 0.673701i | \(0.235297\pi\) | |||||||
\(522\) | 30.2193 | + | 36.5088i | 1.32266 | + | 1.59794i | ||||
\(523\) | −2.08274 | − | 1.20247i | −0.0910718 | − | 0.0525804i | 0.453772 | − | 0.891118i | \(-0.350078\pi\) |
−0.544844 | + | 0.838537i | \(0.683411\pi\) | |||||||
\(524\) | −17.6628 | − | 30.5929i | −0.771603 | − | 1.33646i | ||||
\(525\) | −4.80405 | − | 0.912731i | −0.209666 | − | 0.0398348i | ||||
\(526\) | 7.47786 | − | 2.00369i | 0.326050 | − | 0.0873648i | ||||
\(527\) | 17.2712 | + | 4.62779i | 0.752343 | + | 0.201590i | ||||
\(528\) | 0.105944 | − | 0.0964276i | 0.00461061 | − | 0.00419647i | ||||
\(529\) | −5.99679 | + | 10.3867i | −0.260730 | + | 0.451597i | ||||
\(530\) | 24.1827 | − | 41.8857i | 1.05043 | − | 1.81940i | ||||
\(531\) | −6.74941 | + | 1.14346i | −0.292899 | + | 0.0496218i | ||||
\(532\) | −0.479914 | − | 3.94575i | −0.0208069 | − | 0.171070i | ||||
\(533\) | 13.3231 | − | 5.74471i | 0.577087 | − | 0.248831i | ||||
\(534\) | 0.961695 | − | 20.4515i | 0.0416166 | − | 0.885025i | ||||
\(535\) | 4.30287 | − | 4.30287i | 0.186029 | − | 0.186029i | ||||
\(536\) | −12.6596 | −0.546811 | ||||||||
\(537\) | 2.28228 | + | 1.46476i | 0.0984876 | + | 0.0632091i | ||||
\(538\) | −53.2004 | − | 14.2550i | −2.29363 | − | 0.614577i | ||||
\(539\) | −0.0289591 | + | 1.46741i | −0.00124736 | + | 0.0632060i | ||||
\(540\) | 15.7828 | − | 37.0439i | 0.679182 | − | 1.59411i | ||||
\(541\) | −5.45558 | − | 20.3605i | −0.234554 | − | 0.875366i | −0.978350 | − | 0.206959i | \(-0.933643\pi\) |
0.743796 | − | 0.668407i | \(-0.233023\pi\) | |||||||
\(542\) | −37.9315 | − | 21.8998i | −1.62930 | − | 0.940676i | ||||
\(543\) | 6.07014 | + | 11.7568i | 0.260495 | + | 0.504531i | ||||
\(544\) | −4.12083 | + | 15.3792i | −0.176679 | + | 0.659376i | ||||
\(545\) | 4.25517 | − | 7.37016i | 0.182271 | − | 0.315703i | ||||
\(546\) | −11.2289 | + | 35.7601i | −0.480551 | + | 1.53039i | ||||
\(547\) | 1.38303 | + | 2.39548i | 0.0591341 | + | 0.102423i | 0.894077 | − | 0.447913i | \(-0.147833\pi\) |
−0.834943 | + | 0.550337i | \(0.814499\pi\) | |||||||
\(548\) | 42.4427 | − | 11.3725i | 1.81306 | − | 0.485809i | ||||
\(549\) | −28.7247 | − | 20.4019i | −1.22594 | − | 0.870731i | ||||
\(550\) | −0.439547 | + | 0.253772i | −0.0187423 | + | 0.0108209i | ||||
\(551\) | −2.35150 | + | 2.35150i | −0.100177 | + | 0.100177i | ||||
\(552\) | 14.5957 | − | 3.18446i | 0.621236 | − | 0.135540i | ||||
\(553\) | −1.31117 | + | 9.25298i | −0.0557568 | + | 0.393477i | ||||
\(554\) | −5.10451 | − | 19.0503i | −0.216870 | − | 0.809370i | ||||
\(555\) | 41.2361 | − | 21.2906i | 1.75038 | − | 0.903736i | ||||
\(556\) | −16.9682 | + | 29.3899i | −0.719614 | + | 1.24641i | ||||
\(557\) | 31.1007 | + | 8.33340i | 1.31778 | + | 0.353098i | 0.848145 | − | 0.529764i | \(-0.177719\pi\) |
0.469633 | + | 0.882862i | \(0.344386\pi\) | |||||||
\(558\) | −26.9716 | + | 37.9744i | −1.14180 | + | 1.60759i | ||||
\(559\) | −16.7724 | − | 21.2186i | −0.709399 | − | 0.897451i | ||||
\(560\) | −1.00715 | + | 2.36520i | −0.0425599 | + | 0.0999480i | ||||
\(561\) | −0.903881 | − | 0.288330i | −0.0381619 | − | 0.0121733i | ||||
\(562\) | −25.1378 | − | 43.5400i | −1.06038 | − | 1.83662i | ||||
\(563\) | −7.17886 | −0.302553 | −0.151276 | − | 0.988491i | \(-0.548338\pi\) | ||||
−0.151276 | + | 0.988491i | \(0.548338\pi\) | |||||||
\(564\) | −4.92994 | − | 1.57261i | −0.207588 | − | 0.0662188i | ||||
\(565\) | 17.2958 | − | 17.2958i | 0.727639 | − | 0.727639i | ||||
\(566\) | 3.61168 | + | 3.61168i | 0.151810 | + | 0.151810i | ||||
\(567\) | 23.3610 | − | 4.61110i | 0.981071 | − | 0.193648i | ||||
\(568\) | −9.74666 | −0.408961 | ||||||||
\(569\) | 25.6805i | 1.07658i | 0.842759 | + | 0.538292i | \(0.180930\pi\) | ||||
−0.842759 | + | 0.538292i | \(0.819070\pi\) | |||||||
\(570\) | 4.40300 | + | 1.40452i | 0.184421 | + | 0.0588288i | ||||
\(571\) | 24.4940i | 1.02504i | 0.858675 | + | 0.512520i | \(0.171288\pi\) | ||||
−0.858675 | + | 0.512520i | \(0.828712\pi\) | |||||||
\(572\) | 0.941699 | + | 2.18398i | 0.0393744 | + | 0.0913169i | ||||
\(573\) | 0.503634 | + | 0.975450i | 0.0210396 | + | 0.0407500i | ||||
\(574\) | −19.0148 | − | 14.8909i | −0.793662 | − | 0.621535i | ||||
\(575\) | 3.54014 | 0.147634 | ||||||||
\(576\) | −31.8848 | − | 22.6464i | −1.32854 | − | 0.943599i | ||||
\(577\) | 25.0902 | + | 6.72289i | 1.04452 | + | 0.279878i | 0.739984 | − | 0.672624i | \(-0.234833\pi\) |
0.304533 | + | 0.952502i | \(0.401499\pi\) | |||||||
\(578\) | −22.2952 | + | 5.97399i | −0.927359 | + | 0.248485i | ||||
\(579\) | 34.4111 | + | 10.9768i | 1.43008 | + | 0.456182i | ||||
\(580\) | −52.1261 | + | 13.9671i | −2.16442 | + | 0.579954i | ||||
\(581\) | −15.7894 | + | 37.0801i | −0.655057 | + | 1.53834i | ||||
\(582\) | 33.4622 | − | 52.1382i | 1.38705 | − | 2.16120i | ||||
\(583\) | 1.28331 | − | 1.28331i | 0.0531494 | − | 0.0531494i | ||||
\(584\) | −0.967789 | − | 1.67626i | −0.0400474 | − | 0.0693641i | ||||
\(585\) | −19.7811 | − | 17.8482i | −0.817846 | − | 0.737932i | ||||
\(586\) | 8.78265 | + | 5.07066i | 0.362808 | + | 0.209467i | ||||
\(587\) | 15.3675 | + | 4.11772i | 0.634286 | + | 0.169956i | 0.561614 | − | 0.827400i | \(-0.310181\pi\) |
0.0726721 | + | 0.997356i | \(0.476847\pi\) | |||||||
\(588\) | 37.4203 | − | 7.39394i | 1.54319 | − | 0.304921i | ||||
\(589\) | −2.83047 | − | 1.63417i | −0.116627 | − | 0.0673348i | ||||
\(590\) | 3.29999 | − | 12.3157i | 0.135858 | − | 0.507030i | ||||
\(591\) | 7.26112 | − | 22.7627i | 0.298683 | − | 0.936334i | ||||
\(592\) | −1.11059 | − | 4.14477i | −0.0456448 | − | 0.170349i | ||||
\(593\) | −42.3837 | + | 11.3567i | −1.74049 | + | 0.466363i | −0.982556 | − | 0.185966i | \(-0.940458\pi\) |
−0.757935 | + | 0.652330i | \(0.773792\pi\) | |||||||
\(594\) | 1.52421 | − | 1.94552i | 0.0625389 | − | 0.0798256i | ||||
\(595\) | 16.9007 | − | 2.05560i | 0.692860 | − | 0.0842712i | ||||
\(596\) | −58.1909 | − | 15.5922i | −2.38359 | − | 0.638681i | ||||
\(597\) | −11.7710 | + | 18.3407i | −0.481754 | + | 0.750633i | ||||
\(598\) | 3.15414 | − | 26.9512i | 0.128982 | − | 1.10212i | ||||
\(599\) | 31.8007 | 1.29934 | 0.649670 | − | 0.760216i | \(-0.274907\pi\) | ||||
0.649670 | + | 0.760216i | \(0.274907\pi\) | |||||||
\(600\) | 3.23435 | + | 3.55354i | 0.132042 | + | 0.145072i | ||||
\(601\) | −5.58164 | + | 3.22256i | −0.227680 | + | 0.131451i | −0.609501 | − | 0.792785i | \(-0.708630\pi\) |
0.381821 | + | 0.924236i | \(0.375297\pi\) | |||||||
\(602\) | −17.6391 | + | 41.4238i | −0.718916 | + | 1.68831i | ||||
\(603\) | 14.4031 | − | 2.44011i | 0.586539 | − | 0.0993690i | ||||
\(604\) | −55.1546 | + | 14.7786i | −2.24421 | + | 0.601334i | ||||
\(605\) | 26.0668 | − | 6.98457i | 1.05976 | − | 0.283963i | ||||
\(606\) | −8.57527 | − | 9.42154i | −0.348347 | − | 0.382724i | ||||
\(607\) | −14.1379 | + | 8.16253i | −0.573840 | + | 0.331307i | −0.758682 | − | 0.651462i | \(-0.774156\pi\) |
0.184842 | + | 0.982768i | \(0.440823\pi\) | |||||||
\(608\) | 1.45515 | − | 2.52040i | 0.0590142 | − | 0.102216i | ||||
\(609\) | −24.1733 | − | 20.8346i | −0.979552 | − | 0.844261i | ||||
\(610\) | 56.8307 | − | 32.8112i | 2.30101 | − | 1.32849i | ||||
\(611\) | −2.04505 | + | 2.74614i | −0.0827340 | + | 0.111097i | ||||
\(612\) | −2.31378 | + | 24.5482i | −0.0935292 | + | 0.992303i | ||||
\(613\) | 4.36834 | − | 16.3029i | 0.176436 | − | 0.658467i | −0.819867 | − | 0.572554i | \(-0.805953\pi\) |
0.996303 | − | 0.0859127i | \(-0.0273806\pi\) | |||||||
\(614\) | 27.5606i | 1.11226i | ||||||||
\(615\) | 15.2544 | − | 7.87601i | 0.615117 | − | 0.317591i | ||||
\(616\) | 0.889208 | − | 1.13547i | 0.0358272 | − | 0.0457492i | ||||
\(617\) | 2.86991 | − | 0.768991i | 0.115538 | − | 0.0309584i | −0.200587 | − | 0.979676i | \(-0.564285\pi\) |
0.316125 | + | 0.948718i | \(0.397618\pi\) | |||||||
\(618\) | 23.6929 | − | 5.16925i | 0.953068 | − | 0.207938i | ||||
\(619\) | −12.5101 | + | 3.35207i | −0.502823 | + | 0.134731i | −0.501310 | − | 0.865268i | \(-0.667148\pi\) |
−0.00151323 | + | 0.999999i | \(0.500482\pi\) | |||||||
\(620\) | −26.5185 | − | 45.9314i | −1.06501 | − | 1.84465i | ||||
\(621\) | −15.9921 | + | 6.43633i | −0.641741 | + | 0.258281i | ||||
\(622\) | 3.32183 | + | 3.32183i | 0.133193 | + | 0.133193i | ||||
\(623\) | 1.66457 | + | 13.6857i | 0.0666896 | + | 0.548308i | ||||
\(624\) | −2.00222 | + | 1.43518i | −0.0801531 | + | 0.0574532i | ||||
\(625\) | −14.5984 | − | 25.2851i | −0.583935 | − | 1.01140i | ||||
\(626\) | −40.8146 | + | 40.8146i | −1.63128 | + | 1.63128i | ||||
\(627\) | 0.145949 | + | 0.0936697i | 0.00582864 | + | 0.00374081i | ||||
\(628\) | −38.1867 | −1.52382 | ||||||||
\(629\) | −20.0947 | + | 20.0947i | −0.801228 | + | 0.801228i | ||||
\(630\) | −10.3156 | + | 43.1340i | −0.410982 | + | 1.71850i | ||||
\(631\) | 12.7439 | − | 12.7439i | 0.507327 | − | 0.507327i | −0.406378 | − | 0.913705i | \(-0.633208\pi\) |
0.913705 | + | 0.406378i | \(0.133208\pi\) | |||||||
\(632\) | 6.49344 | − | 6.49344i | 0.258295 | − | 0.258295i | ||||
\(633\) | −36.2815 | − | 1.70607i | −1.44206 | − | 0.0678101i | ||||
\(634\) | 58.1205i | 2.30826i | ||||||||
\(635\) | −7.79564 | + | 29.0937i | −0.309360 | + | 1.15455i | ||||
\(636\) | −39.6947 | − | 25.4759i | −1.57400 | − | 1.01019i | ||||
\(637\) | 3.42776 | − | 25.0050i | 0.135813 | − | 0.990735i | ||||
\(638\) | −3.31232 | −0.131136 | ||||||||
\(639\) | 11.0890 | − | 1.87865i | 0.438673 | − | 0.0743182i | ||||
\(640\) | 37.0821 | − | 21.4094i | 1.46580 | − | 0.846280i | ||||
\(641\) | 24.3322 | + | 14.0482i | 0.961064 | + | 0.554871i | 0.896500 | − | 0.443043i | \(-0.146101\pi\) |
0.0645638 | + | 0.997914i | \(0.479434\pi\) | |||||||
\(642\) | −6.53385 | − | 7.17865i | −0.257870 | − | 0.283319i | ||||
\(643\) | 10.4078 | + | 38.8423i | 0.410442 | + | 1.53179i | 0.793793 | + | 0.608188i | \(0.208103\pi\) |
−0.383351 | + | 0.923603i | \(0.625230\pi\) | |||||||
\(644\) | −25.6155 | + | 10.3154i | −1.00939 | + | 0.406484i | ||||
\(645\) | −21.5420 | − | 23.6680i | −0.848217 | − | 0.931925i | ||||
\(646\) | −2.83005 | −0.111347 | ||||||||
\(647\) | −1.20123 | − | 2.08058i | −0.0472251 | − | 0.0817962i | 0.841447 | − | 0.540340i | \(-0.181704\pi\) |
−0.888672 | + | 0.458544i | \(0.848371\pi\) | |||||||
\(648\) | −21.0714 | − | 10.1722i | −0.827762 | − | 0.399603i | ||||
\(649\) | 0.239220 | − | 0.414342i | 0.00939023 | − | 0.0162643i | ||||
\(650\) | 8.01454 | − | 3.45575i | 0.314356 | − | 0.135546i | ||||
\(651\) | 13.6297 | − | 28.2478i | 0.534191 | − | 1.10712i | ||||
\(652\) | 33.6869 | − | 9.02637i | 1.31928 | − | 0.353500i | ||||
\(653\) | −11.6977 | − | 20.2610i | −0.457765 | − | 0.792873i | 0.541077 | − | 0.840973i | \(-0.318017\pi\) |
−0.998843 | + | 0.0481002i | \(0.984683\pi\) | |||||||
\(654\) | −11.4249 | − | 7.33246i | −0.446748 | − | 0.286722i | ||||
\(655\) | −26.7152 | + | 7.15830i | −1.04385 | + | 0.279698i | ||||
\(656\) | −0.410838 | − | 1.53327i | −0.0160405 | − | 0.0598640i | ||||
\(657\) | 1.42417 | + | 1.72058i | 0.0555622 | + | 0.0671261i | ||||
\(658\) | 5.64322 | + | 0.799661i | 0.219996 | + | 0.0311740i | ||||
\(659\) | 10.0679 | + | 17.4382i | 0.392191 | + | 0.679295i | 0.992738 | − | 0.120294i | \(-0.0383838\pi\) |
−0.600547 | + | 0.799589i | \(0.705050\pi\) | |||||||
\(660\) | 1.29107 | + | 2.50058i | 0.0502549 | + | 0.0973348i | ||||
\(661\) | −12.6546 | − | 12.6546i | −0.492205 | − | 0.492205i | 0.416795 | − | 0.909000i | \(-0.363153\pi\) |
−0.909000 | + | 0.416795i | \(0.863153\pi\) | |||||||
\(662\) | − | 38.6824i | − | 1.50343i | ||||||
\(663\) | 14.8616 | + | 6.73130i | 0.577177 | + | 0.261422i | ||||
\(664\) | 34.2963 | − | 19.8010i | 1.33095 | − | 0.768427i | ||||
\(665\) | −3.08124 | − | 0.436621i | −0.119485 | − | 0.0169314i | ||||
\(666\) | −30.8350 | − | 67.3014i | −1.19483 | − | 2.60787i | ||||
\(667\) | 20.0083 | + | 11.5518i | 0.774724 | + | 0.447287i | ||||
\(668\) | −6.90776 | − | 25.7801i | −0.267269 | − | 0.997462i | ||||
\(669\) | −6.04771 | − | 27.7193i | −0.233818 | − | 1.07169i | ||||
\(670\) | −7.04210 | + | 26.2815i | −0.272060 | + | 1.01534i | ||||
\(671\) | 2.37853 | − | 0.637325i | 0.0918221 | − | 0.0246037i | ||||
\(672\) | 25.1534 | + | 12.1366i | 0.970313 | + | 0.468181i | ||||
\(673\) | 0.0858892 | − | 0.0495882i | 0.00331079 | − | 0.00191148i | −0.498344 | − | 0.866980i | \(-0.666058\pi\) |
0.501654 | + | 0.865068i | \(0.332725\pi\) | |||||||
\(674\) | −11.9359 | − | 44.5455i | −0.459755 | − | 1.71583i | ||||
\(675\) | −4.36472 | − | 3.41952i | −0.167998 | − | 0.131617i | ||||
\(676\) | −11.7184 | − | 39.1839i | −0.450708 | − | 1.50707i | ||||
\(677\) | − | 23.4458i | − | 0.901096i | −0.892752 | − | 0.450548i | \(-0.851229\pi\) | ||
0.892752 | − | 0.450548i | \(-0.148771\pi\) | |||||||
\(678\) | −26.2634 | − | 28.8552i | −1.00864 | − | 1.10818i | ||||
\(679\) | −16.3438 | + | 38.3819i | −0.627216 | + | 1.47296i | ||||
\(680\) | −14.4882 | − | 8.36478i | −0.555598 | − | 0.320774i | ||||
\(681\) | 22.2459 | − | 20.2477i | 0.852465 | − | 0.775894i | ||||
\(682\) | −0.842551 | − | 3.14444i | −0.0322630 | − | 0.120407i | ||||
\(683\) | −15.3868 | − | 4.12287i | −0.588758 | − | 0.157757i | −0.0478726 | − | 0.998853i | \(-0.515244\pi\) |
−0.540886 | + | 0.841096i | \(0.681911\pi\) | |||||||
\(684\) | 1.56988 | − | 4.22478i | 0.0600259 | − | 0.161539i | ||||
\(685\) | − | 34.4020i | − | 1.31443i | ||||||
\(686\) | −39.2738 | + | 14.9220i | −1.49948 | + | 0.569723i | ||||
\(687\) | 31.5172 | − | 6.87633i | 1.20246 | − | 0.262348i | ||||
\(688\) | −2.56267 | + | 1.47956i | −0.0977009 | + | 0.0564076i | ||||
\(689\) | −24.4837 | + | 19.3534i | −0.932754 | + | 0.737305i | ||||
\(690\) | 1.50814 | − | 32.0724i | 0.0574140 | − | 1.22097i | ||||
\(691\) | 25.2709 | − | 25.2709i | 0.961351 | − | 0.961351i | −0.0379296 | − | 0.999280i | \(-0.512076\pi\) |
0.999280 | + | 0.0379296i | \(0.0120763\pi\) | |||||||
\(692\) | 57.1216i | 2.17144i | ||||||||
\(693\) | −0.792813 | + | 1.46324i | −0.0301165 | + | 0.0555838i | ||||
\(694\) | −3.97523 | − | 3.97523i | −0.150898 | − | 0.150898i | ||||
\(695\) | 18.7878 | + | 18.7878i | 0.712662 | + | 0.712662i | ||||
\(696\) | 6.68449 | + | 30.6379i | 0.253375 | + | 1.16133i | ||||
\(697\) | −7.43360 | + | 7.43360i | −0.281568 | + | 0.281568i | ||||
\(698\) | 54.5137 | − | 31.4735i | 2.06337 | − | 1.19129i | ||||
\(699\) | 1.77736 | − | 37.7976i | 0.0672259 | − | 1.42964i | ||||
\(700\) | −6.99290 | − | 5.47630i | −0.264307 | − | 0.206985i | ||||
\(701\) | 7.71012i | 0.291207i | 0.989343 | + | 0.145604i | \(0.0465124\pi\) | ||||
−0.989343 | + | 0.145604i | \(0.953488\pi\) | |||||||
\(702\) | −29.9217 | + | 30.1821i | −1.12932 | + | 1.13915i | ||||
\(703\) | 4.49860 | − | 2.59727i | 0.169668 | − | 0.0979577i | ||||
\(704\) | 2.64020 | − | 0.707440i | 0.0995063 | − | 0.0266626i | ||||
\(705\) | −2.18828 | + | 3.40962i | −0.0824156 | + | 0.128414i | ||||
\(706\) | −5.22185 | + | 9.04451i | −0.196527 | + | 0.340395i | ||||
\(707\) | 6.75393 | + | 5.28915i | 0.254008 | + | 0.198919i | ||||
\(708\) | −11.8460 | − | 3.77878i | −0.445201 | − | 0.142015i | ||||
\(709\) | −36.4563 | + | 36.4563i | −1.36914 | + | 1.36914i | −0.507482 | + | 0.861662i | \(0.669424\pi\) |
−0.861662 | + | 0.507482i | \(0.830576\pi\) | |||||||
\(710\) | −5.42174 | + | 20.2342i | −0.203474 | + | 0.759376i | ||||
\(711\) | −6.13613 | + | 8.63933i | −0.230123 | + | 0.324000i | ||||
\(712\) | 6.77359 | − | 11.7322i | 0.253851 | − | 0.439683i | ||||
\(713\) | −5.87683 | + | 21.9326i | −0.220089 | + | 0.821383i | ||||
\(714\) | −2.00909 | − | 27.0838i | −0.0751884 | − | 1.01358i | ||||
\(715\) | 1.84247 | − | 0.269607i | 0.0689045 | − | 0.0100827i | ||||
\(716\) | 2.46290 | + | 4.26586i | 0.0920428 | + | 0.159423i | ||||
\(717\) | 34.6097 | + | 38.0252i | 1.29252 | + | 1.42008i | ||||
\(718\) | 33.4730 | − | 57.9769i | 1.24920 | − | 2.16368i | ||||
\(719\) | 9.43607 | − | 16.3437i | 0.351906 | − | 0.609519i | −0.634678 | − | 0.772777i | \(-0.718867\pi\) |
0.986583 | + | 0.163258i | \(0.0522004\pi\) | |||||||
\(720\) | −2.24547 | + | 1.85864i | −0.0836838 | + | 0.0692674i | ||||
\(721\) | −15.1472 | + | 6.09981i | −0.564112 | + | 0.227169i | ||||
\(722\) | −41.1330 | − | 11.0216i | −1.53081 | − | 0.410180i | ||||
\(723\) | −6.46247 | − | 7.10023i | −0.240342 | − | 0.264060i | ||||
\(724\) | 24.0330i | 0.893181i | ||||||||
\(725\) | 7.43111i | 0.275985i | ||||||||
\(726\) | −9.17619 | − | 42.0584i | −0.340560 | − | 1.56094i | ||||
\(727\) | −12.6171 | − | 21.8534i | −0.467941 | − | 0.810498i | 0.531388 | − | 0.847129i | \(-0.321671\pi\) |
−0.999329 | + | 0.0366309i | \(0.988337\pi\) | |||||||
\(728\) | −17.4570 | + | 17.6159i | −0.646999 | + | 0.652890i | ||||
\(729\) | 25.9340 | + | 7.51169i | 0.960520 | + | 0.278211i | ||||
\(730\) | −4.01829 | + | 1.07670i | −0.148723 | + | 0.0398503i | ||||
\(731\) | 16.9720 | + | 9.79879i | 0.627732 | + | 0.362421i | ||||
\(732\) | −29.3593 | − | 56.8638i | −1.08515 | − | 2.10175i | ||||
\(733\) | −40.1028 | − | 10.7455i | −1.48123 | − | 0.396895i | −0.574465 | − | 0.818529i | \(-0.694790\pi\) |
−0.906766 | + | 0.421634i | \(0.861457\pi\) | |||||||
\(734\) | −14.6964 | − | 54.8477i | −0.542454 | − | 2.02446i | ||||
\(735\) | 1.99107 | − | 29.7976i | 0.0734418 | − | 1.09910i | ||||
\(736\) | −19.5300 | − | 5.23304i | −0.719885 | − | 0.192893i | ||||
\(737\) | −0.510491 | + | 0.884197i | −0.0188042 | + | 0.0325698i | ||||
\(738\) | −11.4068 | − | 24.8967i | −0.419888 | − | 0.916460i | ||||
\(739\) | 16.6228 | + | 4.45407i | 0.611481 | + | 0.163846i | 0.551252 | − | 0.834339i | \(-0.314150\pi\) |
0.0602287 | + | 0.998185i | \(0.480817\pi\) | |||||||
\(740\) | 84.2943 | 3.09872 | ||||||||
\(741\) | −2.30552 | − | 1.89157i | −0.0846955 | − | 0.0694887i | ||||
\(742\) | 47.7981 | + | 20.3534i | 1.75472 | + | 0.747196i | ||||
\(743\) | −40.8022 | + | 10.9329i | −1.49689 | + | 0.401089i | −0.912056 | − | 0.410066i | \(-0.865506\pi\) |
−0.584831 | + | 0.811156i | \(0.698839\pi\) | |||||||
\(744\) | −27.3848 | + | 14.1390i | −1.00397 | + | 0.518362i | ||||
\(745\) | −23.5833 | + | 40.8476i | −0.864027 | + | 1.49654i | ||||
\(746\) | 6.36508 | − | 23.7548i | 0.233042 | − | 0.869725i | ||||
\(747\) | −35.2030 | + | 29.1385i | −1.28801 | + | 1.06612i | ||||
\(748\) | −1.21855 | − | 1.21855i | −0.0445546 | − | 0.0445546i | ||||
\(749\) | 5.14610 | + | 4.03002i | 0.188034 | + | 0.147254i | ||||
\(750\) | −33.8210 | + | 17.4621i | −1.23497 | + | 0.637627i | ||||
\(751\) | 2.89256 | − | 1.67002i | 0.105551 | − | 0.0609398i | −0.446295 | − | 0.894886i | \(-0.647257\pi\) |
0.551846 | + | 0.833946i | \(0.313924\pi\) | |||||||
\(752\) | 0.264884 | + | 0.264884i | 0.00965934 | + | 0.00965934i | ||||
\(753\) | −6.58644 | − | 12.7568i | −0.240023 | − | 0.464882i | ||||
\(754\) | 56.5732 | + | 6.62084i | 2.06027 | + | 0.241117i | ||||
\(755\) | 44.7056i | 1.62701i | ||||||||
\(756\) | 41.5459 | + | 12.0246i | 1.51101 | + | 0.437331i | ||||
\(757\) | 51.0120 | 1.85406 | 0.927032 | − | 0.374983i | \(-0.122351\pi\) | ||||
0.927032 | + | 0.374983i | \(0.122351\pi\) | |||||||
\(758\) | 50.7008i | 1.84154i | ||||||||
\(759\) | 0.366150 | − | 1.14784i | 0.0132904 | − | 0.0416639i | ||||
\(760\) | 2.16232 | + | 2.16232i | 0.0784354 | + | 0.0784354i | ||||
\(761\) | 0.203938 | − | 0.761108i | 0.00739276 | − | 0.0275901i | −0.962131 | − | 0.272588i | \(-0.912121\pi\) |
0.969524 | + | 0.244998i | \(0.0787872\pi\) | |||||||
\(762\) | 45.7742 | + | 14.6016i | 1.65822 | + | 0.528959i | ||||
\(763\) | 8.41049 | + | 3.58136i | 0.304480 | + | 0.129654i | ||||
\(764\) | 1.99400i | 0.0721404i | ||||||||
\(765\) | 18.0958 | + | 6.72421i | 0.654257 | + | 0.243114i | ||||
\(766\) | −10.9412 | − | 18.9508i | −0.395323 | − | 0.684720i | ||||
\(767\) | −4.91401 | + | 6.59864i | −0.177434 | + | 0.238263i | ||||
\(768\) | −10.6179 | − | 20.5650i | −0.383140 | − | 0.742074i | ||||
\(769\) | −5.69867 | − | 21.2677i | −0.205499 | − | 0.766934i | −0.989297 | − | 0.145917i | \(-0.953387\pi\) |
0.783798 | − | 0.621016i | \(-0.213280\pi\) | |||||||
\(770\) | −1.86261 | − | 2.47763i | −0.0671236 | − | 0.0892876i | ||||
\(771\) | 7.22360 | − | 11.2553i | 0.260152 | − | 0.405349i | ||||
\(772\) | 46.3907 | + | 46.3907i | 1.66964 | + | 1.66964i | ||||
\(773\) | 18.6285 | + | 4.99149i | 0.670021 | + | 0.179532i | 0.577764 | − | 0.816204i | \(-0.303925\pi\) |
0.0922566 | + | 0.995735i | \(0.470592\pi\) | |||||||
\(774\) | −39.3269 | + | 32.5520i | −1.41358 | + | 1.17006i | ||||
\(775\) | −7.05449 | + | 1.89024i | −0.253405 | + | 0.0678996i | ||||
\(776\) | 35.5003 | − | 20.4961i | 1.27439 | − | 0.735768i | ||||
\(777\) | 28.0496 | + | 41.2080i | 1.00627 | + | 1.47833i | ||||
\(778\) | 13.4175 | + | 50.0747i | 0.481040 | + | 1.79527i | ||||
\(779\) | 1.66416 | − | 0.960803i | 0.0596247 | − | 0.0344243i | ||||
\(780\) | −17.0527 | − | 45.2896i | −0.610586 | − | 1.62163i | ||||
\(781\) | −0.393029 | + | 0.680746i | −0.0140637 | + | 0.0243590i | ||||
\(782\) | 5.08874 | + | 18.9914i | 0.181973 | + | 0.679132i | ||||
\(783\) | −13.5105 | − | 33.5690i | −0.482825 | − | 1.19966i | ||||
\(784\) | −2.65258 | − | 0.767161i | −0.0947349 | − | 0.0273986i | ||||
\(785\) | −7.73807 | + | 28.8789i | −0.276184 | + | 1.03073i | ||||
\(786\) | 9.40444 | + | 43.1046i | 0.335445 | + | 1.53749i | ||||
\(787\) | 33.0073 | + | 33.0073i | 1.17658 | + | 1.17658i | 0.980609 | + | 0.195976i | \(0.0627875\pi\) |
0.195976 | + | 0.980609i | \(0.437213\pi\) | |||||||
\(788\) | 30.6872 | − | 30.6872i | 1.09319 | − | 1.09319i | ||||
\(789\) | −5.90442 | − | 0.277644i | −0.210203 | − | 0.00988440i | ||||
\(790\) | −9.86839 | − | 17.0926i | −0.351102 | − | 0.608126i | ||||
\(791\) | 20.6852 | + | 16.1990i | 0.735480 | + | 0.575971i | ||||
\(792\) | 1.48670 | − | 0.681152i | 0.0528277 | − | 0.0242037i | ||||
\(793\) | −41.8983 | + | 6.13094i | −1.48785 | + | 0.217716i | ||||
\(794\) | 35.8875 | + | 20.7197i | 1.27360 | + | 0.735314i | ||||
\(795\) | −27.3099 | + | 24.8569i | −0.968584 | + | 0.881583i | ||||
\(796\) | −34.2810 | + | 19.7921i | −1.21506 | + | 0.701513i | ||||
\(797\) | 11.1403 | − | 19.2956i | 0.394610 | − | 0.683485i | −0.598441 | − | 0.801167i | \(-0.704213\pi\) |
0.993051 | + | 0.117682i | \(0.0375462\pi\) | |||||||
\(798\) | −0.926585 | + | 4.87697i | −0.0328008 | + | 0.172643i | ||||
\(799\) | 0.642108 | − | 2.39638i | 0.0227161 | − | 0.0847778i | ||||
\(800\) | −1.68317 | − | 6.28169i | −0.0595092 | − | 0.222091i | ||||
\(801\) | −5.44510 | + | 14.6536i | −0.192393 | + | 0.517758i | ||||
\(802\) | 11.7488 | + | 20.3496i | 0.414865 | + | 0.718568i | ||||
\(803\) | −0.156102 | −0.00550873 | ||||||||
\(804\) | 25.2791 | + | 8.06383i | 0.891527 | + | 0.284389i | ||||
\(805\) | 2.61040 | + | 21.4622i | 0.0920045 | + | 0.756441i | ||||
\(806\) | 8.10518 | + | 55.3901i | 0.285493 | + | 1.95103i | ||||
\(807\) | 35.3910 | + | 22.7138i | 1.24582 | + | 0.799564i | ||||
\(808\) | −2.18172 | − | 8.14230i | −0.0767527 | − | 0.286445i | ||||
\(809\) | −11.3644 | − | 19.6837i | −0.399550 | − | 0.692042i | 0.594120 | − | 0.804376i | \(-0.297500\pi\) |
−0.993670 | + | 0.112335i | \(0.964167\pi\) | |||||||
\(810\) | −32.8390 | + | 38.0860i | −1.15384 | + | 1.33821i | ||||
\(811\) | −5.88698 | + | 5.88698i | −0.206720 | + | 0.206720i | −0.802872 | − | 0.596152i | \(-0.796696\pi\) |
0.596152 | + | 0.802872i | \(0.296696\pi\) | |||||||
\(812\) | −21.6531 | − | 53.7695i | −0.759873 | − | 1.88694i | ||||
\(813\) | 22.5103 | + | 24.7318i | 0.789470 | + | 0.867381i | ||||
\(814\) | 4.99762 | + | 1.33911i | 0.175166 | + | 0.0469357i | ||||
\(815\) | − | 27.3049i | − | 0.956450i | ||||||
\(816\) | 0.964103 | − | 1.50219i | 0.0337503 | − | 0.0525872i | ||||
\(817\) | −2.53301 | − | 2.53301i | −0.0886188 | − | 0.0886188i | ||||
\(818\) | −44.8992 | −1.56986 | ||||||||
\(819\) | 16.4657 | − | 23.4068i | 0.575360 | − | 0.817901i | ||||
\(820\) | 31.1829 | 1.08895 | ||||||||
\(821\) | −9.01131 | − | 9.01131i | −0.314497 | − | 0.314497i | 0.532152 | − | 0.846649i | \(-0.321383\pi\) |
−0.846649 | + | 0.532152i | \(0.821383\pi\) | |||||||
\(822\) | −54.8165 | − | 2.57764i | −1.91195 | − | 0.0899057i | ||||
\(823\) | − | 8.68790i | − | 0.302841i | −0.988469 | − | 0.151421i | \(-0.951615\pi\) | ||
0.988469 | − | 0.151421i | \(-0.0483848\pi\) | |||||||
\(824\) | 15.4990 | + | 4.15294i | 0.539932 | + | 0.144674i | ||||
\(825\) | 0.378617 | − | 0.0826055i | 0.0131817 | − | 0.00287595i | ||||
\(826\) | 13.5599 | + | 1.92148i | 0.471811 | + | 0.0668570i | ||||
\(827\) | 29.4938 | − | 29.4938i | 1.02560 | − | 1.02560i | 0.0259373 | − | 0.999664i | \(-0.491743\pi\) |
0.999664 | − | 0.0259373i | \(-0.00825702\pi\) | |||||||
\(828\) | −31.1738 | − | 2.93827i | −1.08336 | − | 0.102112i | ||||
\(829\) | −4.40225 | − | 7.62492i | −0.152897 | − | 0.264825i | 0.779395 | − | 0.626533i | \(-0.215527\pi\) |
−0.932291 | + | 0.361709i | \(0.882193\pi\) | |||||||
\(830\) | −22.0292 | − | 82.2142i | −0.764645 | − | 2.85370i | ||||
\(831\) | −0.707316 | + | 15.0419i | −0.0245365 | + | 0.521797i | ||||
\(832\) | −46.5077 | + | 6.80543i | −1.61236 | + | 0.235936i | ||||
\(833\) | 4.38367 | + | 17.7542i | 0.151885 | + | 0.615147i | ||||
\(834\) | 31.3444 | − | 28.5290i | 1.08537 | − | 0.987879i | ||||
\(835\) | −20.8961 | −0.723139 | ||||||||
\(836\) | 0.157499 | + | 0.272797i | 0.00544723 | + | 0.00943487i | ||||
\(837\) | 28.4310 | − | 21.3647i | 0.982719 | − | 0.738470i | ||||
\(838\) | −17.7182 | − | 66.1251i | −0.612064 | − | 2.28425i | ||||
\(839\) | −4.36682 | + | 16.2972i | −0.150759 | + | 0.562642i | 0.848672 | + | 0.528920i | \(0.177403\pi\) |
−0.999431 | + | 0.0337222i | \(0.989264\pi\) | |||||||
\(840\) | −19.1584 | + | 22.2285i | −0.661028 | + | 0.766957i | ||||
\(841\) | −9.74834 | + | 16.8846i | −0.336149 | + | 0.582228i | ||||
\(842\) | 15.0869 | − | 8.71045i | 0.519930 | − | 0.300182i | ||||
\(843\) | 8.18263 | + | 37.5045i | 0.281825 | + | 1.29172i | ||||
\(844\) | −57.1347 | − | 32.9867i | −1.96666 | − | 1.13545i | ||||
\(845\) | −32.0076 | + | 0.921961i | −1.10110 | + | 0.0317164i | ||||
\(846\) | 5.26897 | + | 3.74231i | 0.181151 | + | 0.128663i | ||||
\(847\) | 10.8281 | + | 26.8886i | 0.372057 | + | 0.923903i | ||||
\(848\) | 1.70723 | + | 2.95701i | 0.0586265 | + | 0.101544i | ||||
\(849\) | −1.78914 | − | 3.46524i | −0.0614030 | − | 0.118927i | ||||
\(850\) | −4.47171 | + | 4.47171i | −0.153378 | + | 0.153378i | ||||
\(851\) | −25.5183 | − | 25.5183i | −0.874754 | − | 0.874754i | ||||
\(852\) | 19.4625 | + | 6.20838i | 0.666775 | + | 0.212695i | ||||
\(853\) | −0.467603 | + | 1.74512i | −0.0160104 | + | 0.0597516i | −0.973469 | − | 0.228819i | \(-0.926513\pi\) |
0.957458 | + | 0.288571i | \(0.0931801\pi\) | |||||||
\(854\) | 42.3562 | + | 56.3420i | 1.44940 | + | 1.92798i | ||||
\(855\) | −2.87690 | − | 2.04333i | −0.0983877 | − | 0.0698804i | ||||
\(856\) | −1.66234 | − | 6.20395i | −0.0568177 | − | 0.212047i | ||||
\(857\) | 4.03984 | − | 6.99721i | 0.137998 | − | 0.239020i | −0.788741 | − | 0.614726i | \(-0.789266\pi\) |
0.926739 | + | 0.375706i | \(0.122600\pi\) | |||||||
\(858\) | −0.291544 | − | 2.95601i | −0.00995315 | − | 0.100917i | ||||
\(859\) | 21.3097 | − | 12.3032i | 0.727078 | − | 0.419778i | −0.0902745 | − | 0.995917i | \(-0.528774\pi\) |
0.817352 | + | 0.576138i | \(0.195441\pi\) | |||||||
\(860\) | −15.0453 | − | 56.1498i | −0.513040 | − | 1.91469i | ||||
\(861\) | 10.3763 | + | 15.2440i | 0.353625 | + | 0.519514i | ||||
\(862\) | −71.2014 | + | 41.1081i | −2.42513 | + | 1.40015i | ||||
\(863\) | −18.7188 | + | 5.01568i | −0.637195 | + | 0.170736i | −0.562932 | − | 0.826503i | \(-0.690327\pi\) |
−0.0742623 | + | 0.997239i | \(0.523660\pi\) | |||||||
\(864\) | 19.0242 | + | 25.3165i | 0.647218 | + | 0.861284i | ||||
\(865\) | 43.1985 | + | 11.5750i | 1.46879 | + | 0.393562i | ||||
\(866\) | −52.0943 | − | 52.0943i | −1.77024 | − | 1.77024i | ||||
\(867\) | 17.6040 | + | 0.827796i | 0.597864 | + | 0.0281134i | ||||
\(868\) | 45.5365 | − | 34.2329i | 1.54561 | − | 1.16194i | ||||
\(869\) | −0.191684 | − | 0.715373i | −0.00650242 | − | 0.0242674i | ||||
\(870\) | 67.3231 | + | 3.16574i | 2.28247 | + | 0.107329i | ||||
\(871\) | 10.4864 | − | 14.0814i | 0.355317 | − | 0.477128i | ||||
\(872\) | −4.49125 | − | 7.77907i | −0.152093 | − | 0.263433i | ||||
\(873\) | −36.4389 | + | 30.1615i | −1.23327 | + | 1.02081i | ||||
\(874\) | − | 3.59388i | − | 0.121565i | ||||||
\(875\) | 20.4868 | − | 15.4014i | 0.692582 | − | 0.520661i | ||||
\(876\) | 0.864784 | + | 3.96368i | 0.0292183 | + | 0.133920i | ||||
\(877\) | 4.70385 | − | 17.5550i | 0.158838 | − | 0.592791i | −0.839908 | − | 0.542729i | \(-0.817391\pi\) |
0.998746 | − | 0.0500626i | \(-0.0159421\pi\) | |||||||
\(878\) | 54.9097 | + | 54.9097i | 1.85311 | + | 1.85311i | ||||
\(879\) | −5.21202 | − | 5.72638i | −0.175797 | − | 0.193146i | ||||
\(880\) | − | 0.203724i | − | 0.00686754i | ||||||
\(881\) | −16.2485 | −0.547425 | −0.273712 | − | 0.961812i | \(-0.588252\pi\) | ||||
−0.273712 | + | 0.961812i | \(0.588252\pi\) | |||||||
\(882\) | −47.3307 | − | 5.40525i | −1.59371 | − | 0.182004i | ||||
\(883\) | 21.6065i | 0.727117i | 0.931571 | + | 0.363558i | \(0.118438\pi\) | ||||
−0.931571 | + | 0.363558i | \(0.881562\pi\) | |||||||
\(884\) | 18.3767 | + | 23.2481i | 0.618075 | + | 0.781918i | ||||
\(885\) | −5.25817 | + | 8.19289i | −0.176752 | + | 0.275401i | ||||
\(886\) | 60.9037 | + | 60.9037i | 2.04610 | + | 2.04610i | ||||
\(887\) | 41.9719 | − | 24.2325i | 1.40928 | − | 0.813648i | 0.413961 | − | 0.910294i | \(-0.364145\pi\) |
0.995319 | + | 0.0966463i | \(0.0308116\pi\) | |||||||
\(888\) | 2.30078 | − | 48.9288i | 0.0772092 | − | 1.64194i | ||||
\(889\) | −32.0330 | − | 4.53917i | −1.07435 | − | 0.152239i | ||||
\(890\) | −20.5883 | − | 20.5883i | −0.690121 | − | 0.690121i | ||||
\(891\) | −1.56016 | + | 1.06152i | −0.0522674 | + | 0.0355623i | ||||
\(892\) | 13.3377 | − | 49.7770i | 0.446580 | − | 1.66666i | ||||
\(893\) | −0.226742 | + | 0.392728i | −0.00758762 | + | 0.0131421i | ||||
\(894\) | 63.3199 | + | 40.6386i | 2.11774 | + | 1.35916i | ||||
\(895\) | 3.72516 | − | 0.998153i | 0.124518 | − | 0.0333646i | ||||
\(896\) | 27.6375 | + | 36.7633i | 0.923303 | + | 1.22817i | ||||
\(897\) | −8.54807 | + | 18.8728i | −0.285412 | + | 0.630143i | ||||
\(898\) | −6.92598 | −0.231123 | ||||||||
\(899\) | −46.0388 | − | 12.3360i | −1.53548 | − | 0.411430i | ||||
\(900\) | −4.19496 | − | 9.15604i | −0.139832 | − | 0.305201i | ||||
\(901\) | 11.3066 | − | 19.5836i | 0.376678 | − | 0.652425i | ||||
\(902\) | 1.84876 | + | 0.495374i | 0.0615570 | + | 0.0164942i | ||||
\(903\) | 22.4428 | − | 26.0393i | 0.746851 | − | 0.866533i | ||||
\(904\) | −6.68193 | − | 24.9373i | −0.222238 | − | 0.829402i | ||||
\(905\) | 18.1751 | + | 4.87000i | 0.604161 | + | 0.161884i | ||||
\(906\) | 71.2345 | + | 3.34967i | 2.36661 | + | 0.111285i | ||||
\(907\) | 25.9967 | + | 15.0092i | 0.863207 | + | 0.498373i | 0.865085 | − | 0.501626i | \(-0.167265\pi\) |
−0.00187818 | + | 0.999998i | \(0.500598\pi\) | |||||||
\(908\) | 52.7761 | − | 14.1413i | 1.75144 | − | 0.469296i | ||||
\(909\) | 4.05160 | + | 8.84314i | 0.134383 | + | 0.293309i | ||||
\(910\) | 26.8602 | + | 46.0401i | 0.890407 | + | 1.52621i | ||||
\(911\) | −23.6741 | − | 41.0047i | −0.784356 | − | 1.35854i | −0.929383 | − | 0.369117i | \(-0.879660\pi\) |
0.145027 | − | 0.989428i | \(-0.453673\pi\) | |||||||
\(912\) | −0.241290 | + | 0.219617i | −0.00798991 | + | 0.00727224i | ||||
\(913\) | − | 3.19386i | − | 0.105701i | ||||||
\(914\) | 27.7287i | 0.917183i | ||||||||
\(915\) | −48.9528 | + | 10.6804i | −1.61833 | + | 0.353083i | ||||
\(916\) | 56.5971 | + | 15.1652i | 1.87002 | + | 0.501071i | ||||
\(917\) | −11.0974 | − | 27.5574i | −0.366469 | − | 0.910026i | ||||
\(918\) | 12.0703 | − | 28.3303i | 0.398379 | − | 0.935040i | ||||
\(919\) | −10.3721 | + | 17.9650i | −0.342144 | + | 0.592610i | −0.984831 | − | 0.173519i | \(-0.944486\pi\) |
0.642687 | + | 0.766129i | \(0.277820\pi\) | |||||||
\(920\) | 10.6224 | − | 18.3986i | 0.350211 | − | 0.606583i | ||||
\(921\) | 6.39512 | − | 20.0479i | 0.210726 | − | 0.660602i | ||||
\(922\) | −39.5339 | − | 68.4748i | −1.30198 | − | 2.25510i | ||||
\(923\) | 8.07350 | − | 10.8413i | 0.265742 | − | 0.356845i | ||||
\(924\) | −2.49887 | + | 1.70094i | −0.0822068 | + | 0.0559568i | ||||
\(925\) | 3.00426 | − | 11.2120i | 0.0987793 | − | 0.368649i | ||||
\(926\) | 32.9703 | − | 57.1063i | 1.08347 | − | 1.87663i | ||||
\(927\) | −18.4340 | − | 1.73749i | −0.605452 | − | 0.0570666i | ||||
\(928\) | 10.9847 | − | 40.9954i | 0.360590 | − | 1.34574i | ||||
\(929\) | 30.4104 | − | 30.4104i | 0.997732 | − | 0.997732i | −0.00226516 | − | 0.999997i | \(-0.500721\pi\) |
0.999997 | + | 0.00226516i | \(0.000721023\pi\) | |||||||
\(930\) | 14.1196 | + | 64.7163i | 0.463000 | + | 2.12213i | ||||
\(931\) | 0.0659552 | − | 3.34208i | 0.00216159 | − | 0.109532i | ||||
\(932\) | 34.3652 | − | 59.5222i | 1.12567 | − | 1.94971i | ||||
\(933\) | −1.64555 | − | 3.18714i | −0.0538729 | − | 0.104342i | ||||
\(934\) | 51.7485 | − | 13.8660i | 1.69326 | − | 0.453709i | ||||
\(935\) | −1.16846 | + | 0.674611i | −0.0382127 | + | 0.0220621i | ||||
\(936\) | −26.7538 | + | 8.66213i | −0.874477 | + | 0.283131i | ||||
\(937\) | − | 7.89287i | − | 0.257849i | −0.991654 | − | 0.128924i | \(-0.958848\pi\) | ||
0.991654 | − | 0.128924i | \(-0.0411525\pi\) | |||||||
\(938\) | −28.9366 | − | 4.10041i | −0.944814 | − | 0.133883i | ||||
\(939\) | 39.1597 | − | 20.2185i | 1.27793 | − | 0.659807i | ||||
\(940\) | −6.37300 | + | 3.67945i | −0.207864 | + | 0.120011i | ||||
\(941\) | −3.42798 | + | 3.42798i | −0.111749 | + | 0.111749i | −0.760770 | − | 0.649021i | \(-0.775179\pi\) |
0.649021 | + | 0.760770i | \(0.275179\pi\) | |||||||
\(942\) | 45.4362 | + | 14.4937i | 1.48039 | + | 0.472232i | ||||
\(943\) | −9.43993 | − | 9.43993i | −0.307406 | − | 0.307406i | ||||
\(944\) | 0.636484 | + | 0.636484i | 0.0207158 | + | 0.0207158i | ||||
\(945\) | 17.5124 | − | 28.9826i | 0.569680 | − | 0.942805i | ||||
\(946\) | − | 3.56800i | − | 0.116006i | ||||||
\(947\) | −22.3046 | + | 22.3046i | −0.724802 | + | 0.724802i | −0.969579 | − | 0.244777i | \(-0.921285\pi\) |
0.244777 | + | 0.969579i | \(0.421285\pi\) | |||||||
\(948\) | −17.1025 | + | 8.83020i | −0.555464 | + | 0.286792i | ||||
\(949\) | 2.66617 | + | 0.312026i | 0.0865476 | + | 0.0101288i | ||||
\(950\) | 1.00108 | − | 0.577974i | 0.0324793 | − | 0.0187520i | ||||
\(951\) | 13.4862 | − | 42.2776i | 0.437320 | − | 1.37094i | ||||
\(952\) | 7.04021 | − | 16.5333i | 0.228174 | − | 0.535847i | ||||
\(953\) | 24.7311i | 0.801119i | 0.916271 | + | 0.400560i | \(0.131184\pi\) | ||||
−0.916271 | + | 0.400560i | \(0.868816\pi\) | |||||||
\(954\) | 37.5610 | + | 45.3785i | 1.21608 | + | 1.46918i | ||||
\(955\) | 1.50797 | + | 0.404060i | 0.0487969 | + | 0.0130751i | ||||
\(956\) | 24.1719 | + | 90.2109i | 0.781776 | + | 2.91763i | ||||
\(957\) | 2.40942 | + | 0.768586i | 0.0778856 | + | 0.0248449i | ||||
\(958\) | −10.9436 | − | 6.31831i | −0.353573 | − | 0.204135i | ||||
\(959\) | 36.6821 | − | 4.46157i | 1.18453 | − | 0.144072i | ||||
\(960\) | −54.3383 | + | 11.8554i | −1.75376 | + | 0.382631i | ||||
\(961\) | − | 15.8433i | − | 0.511075i | ||||||
\(962\) | −82.6807 | − | 32.8610i | −2.66573 | − | 1.05948i | ||||
\(963\) | 3.08708 | + | 6.73795i | 0.0994798 | + | 0.217127i | ||||
\(964\) | −4.51349 | − | 16.8446i | −0.145370 | − | 0.542527i | ||||
\(965\) | 44.4837 | − | 25.6827i | 1.43198 | − | 0.826754i | ||||
\(966\) | 34.3936 | − | 2.55134i | 1.10660 | − | 0.0820882i | ||||
\(967\) | −14.3067 | + | 3.83347i | −0.460072 | + | 0.123276i | −0.481409 | − | 0.876496i | \(-0.659875\pi\) |
0.0213361 | + | 0.999772i | \(0.493208\pi\) | |||||||
\(968\) | 7.37208 | − | 27.5130i | 0.236948 | − | 0.884301i | ||||
\(969\) | 2.05862 | + | 0.656681i | 0.0661323 | + | 0.0210956i | ||||
\(970\) | −22.8026 | − | 85.1005i | −0.732148 | − | 2.73241i | ||||
\(971\) | 13.8617 | + | 8.00306i | 0.444843 | + | 0.256830i | 0.705650 | − | 0.708561i | \(-0.250655\pi\) |
−0.260807 | + | 0.965391i | \(0.583988\pi\) | |||||||
\(972\) | 35.5967 | + | 33.7342i | 1.14176 | + | 1.08203i | ||||
\(973\) | −17.5964 | + | 22.4696i | −0.564116 | + | 0.720342i | ||||
\(974\) | −37.2106 | + | 21.4836i | −1.19230 | + | 0.688378i | ||||
\(975\) | −6.63175 | + | 0.654072i | −0.212386 | + | 0.0209471i | ||||
\(976\) | 4.63275i | 0.148291i | ||||||||
\(977\) | 0.875946 | + | 0.875946i | 0.0280240 | + | 0.0280240i | 0.720980 | − | 0.692956i | \(-0.243692\pi\) |
−0.692956 | + | 0.720980i | \(0.743692\pi\) | |||||||
\(978\) | −43.5080 | − | 2.04588i | −1.39123 | − | 0.0654201i | ||||
\(979\) | −0.546283 | − | 0.946189i | −0.0174593 | − | 0.0302403i | ||||
\(980\) | 28.0437 | − | 46.4326i | 0.895824 | − | 1.48323i | ||||
\(981\) | 6.60919 | + | 7.98474i | 0.211015 | + | 0.254933i | ||||
\(982\) | 5.92787 | + | 22.1231i | 0.189166 | + | 0.705976i | ||||
\(983\) | 22.5989 | − | 6.05536i | 0.720794 | − | 0.193136i | 0.120268 | − | 0.992741i | \(-0.461625\pi\) |
0.600526 | + | 0.799605i | \(0.294958\pi\) | |||||||
\(984\) | 0.851125 | − | 18.1002i | 0.0271329 | − | 0.577012i | ||||
\(985\) | −16.9890 | − | 29.4257i | −0.541313 | − | 0.937582i | ||||
\(986\) | −39.8649 | + | 10.6818i | −1.26956 | + | 0.340177i | ||||
\(987\) | −3.91940 | − | 1.89113i | −0.124756 | − | 0.0601953i | ||||
\(988\) | −2.14475 | − | 4.97408i | −0.0682335 | − | 0.158247i | ||||
\(989\) | −12.4435 | + | 21.5527i | −0.395679 | + | 0.685337i | ||||
\(990\) | −0.587080 | − | 3.46532i | −0.0186586 | − | 0.110135i | ||||
\(991\) | 18.5363 | + | 32.1058i | 0.588825 | + | 1.01987i | 0.994387 | + | 0.105807i | \(0.0337426\pi\) |
−0.405562 | + | 0.914068i | \(0.632924\pi\) | |||||||
\(992\) | 41.7118 | 1.32435 | ||||||||
\(993\) | −8.97580 | + | 28.1381i | −0.284839 | + | 0.892934i | ||||
\(994\) | −22.2784 | − | 3.15692i | −0.706628 | − | 0.100131i | ||||
\(995\) | 8.02127 | + | 29.9358i | 0.254291 | + | 0.949028i | ||||
\(996\) | −81.0969 | + | 17.6935i | −2.56965 | + | 0.560639i | ||||
\(997\) | −43.8521 | − | 25.3180i | −1.38881 | − | 0.801831i | −0.395630 | − | 0.918410i | \(-0.629474\pi\) |
−0.993181 | + | 0.116579i | \(0.962807\pi\) | |||||||
\(998\) | 28.4928 | − | 16.4503i | 0.901924 | − | 0.520726i | ||||
\(999\) | 6.81328 | + | 56.1108i | 0.215563 | + | 1.77527i |
(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.ep.a.229.13 | ✓ | 432 | |
7.3 | odd | 6 | 819.2.fk.a.346.96 | yes | 432 | ||
9.7 | even | 3 | 819.2.fk.a.502.13 | yes | 432 | ||
13.5 | odd | 4 | inner | 819.2.ep.a.733.13 | yes | 432 | |
63.52 | odd | 6 | inner | 819.2.ep.a.619.13 | yes | 432 | |
91.31 | even | 12 | 819.2.fk.a.31.13 | yes | 432 | ||
117.70 | odd | 12 | 819.2.fk.a.187.96 | yes | 432 | ||
819.304 | even | 12 | inner | 819.2.ep.a.304.13 | yes | 432 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ep.a.229.13 | ✓ | 432 | 1.1 | even | 1 | trivial | |
819.2.ep.a.304.13 | yes | 432 | 819.304 | even | 12 | inner | |
819.2.ep.a.619.13 | yes | 432 | 63.52 | odd | 6 | inner | |
819.2.ep.a.733.13 | yes | 432 | 13.5 | odd | 4 | inner | |
819.2.fk.a.31.13 | yes | 432 | 91.31 | even | 12 | ||
819.2.fk.a.187.96 | yes | 432 | 117.70 | odd | 12 | ||
819.2.fk.a.346.96 | yes | 432 | 7.3 | odd | 6 | ||
819.2.fk.a.502.13 | yes | 432 | 9.7 | even | 3 |