Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.10 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.10 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.723275 | + | 1.84288i | −0.511433 | + | 1.30311i | 0.409116 | + | 0.912482i | \(0.365837\pi\) |
−0.920549 | + | 0.390627i | \(0.872258\pi\) | |||||||
\(3\) | 0.680185 | + | 1.59291i | 0.392705 | + | 0.919665i | ||||
\(4\) | −1.40696 | − | 1.30547i | −0.703480 | − | 0.652734i | ||||
\(5\) | −3.94781 | + | 1.90116i | −1.76551 | + | 0.850226i | −0.795957 | + | 0.605353i | \(0.793032\pi\) |
−0.969555 | + | 0.244873i | \(0.921254\pi\) | |||||||
\(6\) | −3.42749 | + | 0.101386i | −1.39927 | + | 0.0413907i | ||||
\(7\) | 2.61408 | + | 0.408177i | 0.988028 | + | 0.154276i | ||||
\(8\) | −0.143911 | + | 0.0693038i | −0.0508802 | + | 0.0245026i | ||||
\(9\) | −2.07470 | + | 2.16694i | −0.691566 | + | 0.722313i | ||||
\(10\) | −0.648256 | − | 8.65038i | −0.204997 | − | 2.73549i | ||||
\(11\) | 2.48648 | + | 3.11795i | 0.749703 | + | 0.940098i | 0.999603 | − | 0.0281741i | \(-0.00896927\pi\) |
−0.249900 | + | 0.968272i | \(0.580398\pi\) | |||||||
\(12\) | 1.12249 | − | 3.12911i | 0.324036 | − | 0.903297i | ||||
\(13\) | −0.678891 | + | 1.72979i | −0.188291 | + | 0.479757i | −0.993581 | − | 0.113124i | \(-0.963914\pi\) |
0.805290 | + | 0.592881i | \(0.202009\pi\) | |||||||
\(14\) | −2.64292 | + | 4.52219i | −0.706349 | + | 1.20861i | ||||
\(15\) | −5.71361 | − | 4.99534i | −1.47525 | − | 1.28979i | ||||
\(16\) | −0.310493 | − | 4.14324i | −0.0776232 | − | 1.03581i | ||||
\(17\) | 2.33408 | − | 2.16571i | 0.566098 | − | 0.525262i | −0.344374 | − | 0.938833i | \(-0.611909\pi\) |
0.910472 | + | 0.413570i | \(0.135718\pi\) | |||||||
\(18\) | −2.49282 | − | 5.39070i | −0.587564 | − | 1.27060i | ||||
\(19\) | −0.202434 | + | 0.350626i | −0.0464415 | + | 0.0804390i | −0.888312 | − | 0.459241i | \(-0.848121\pi\) |
0.841870 | + | 0.539680i | \(0.181455\pi\) | |||||||
\(20\) | 8.03631 | + | 2.47887i | 1.79697 | + | 0.554293i | ||||
\(21\) | 1.12787 | + | 4.44161i | 0.246121 | + | 0.969239i | ||||
\(22\) | −7.54441 | + | 2.32714i | −1.60847 | + | 0.496148i | ||||
\(23\) | 1.50220 | − | 6.58158i | 0.313231 | − | 1.37235i | −0.535949 | − | 0.844251i | \(-0.680046\pi\) |
0.849180 | − | 0.528104i | \(-0.177097\pi\) | |||||||
\(24\) | −0.208280 | − | 0.182097i | −0.0425151 | − | 0.0371704i | ||||
\(25\) | 8.85330 | − | 11.1017i | 1.77066 | − | 2.22034i | ||||
\(26\) | −2.69676 | − | 2.50222i | −0.528878 | − | 0.490727i | ||||
\(27\) | −4.86291 | − | 1.83088i | −0.935867 | − | 0.352353i | ||||
\(28\) | −3.14504 | − | 3.98688i | −0.594356 | − | 0.753449i | ||||
\(29\) | −2.69795 | − | 0.832207i | −0.500997 | − | 0.154537i | 0.0339488 | − | 0.999424i | \(-0.489192\pi\) |
−0.534946 | + | 0.844887i | \(0.679668\pi\) | |||||||
\(30\) | 13.3383 | − | 6.91647i | 2.43523 | − | 1.26277i | ||||
\(31\) | −3.16958 | + | 5.48987i | −0.569274 | + | 0.986011i | 0.427364 | + | 0.904079i | \(0.359442\pi\) |
−0.996638 | + | 0.0819312i | \(0.973891\pi\) | |||||||
\(32\) | 7.55478 | + | 2.33034i | 1.33551 | + | 0.411950i | ||||
\(33\) | −3.27533 | + | 6.08151i | −0.570163 | + | 1.05866i | ||||
\(34\) | 2.30295 | + | 5.86783i | 0.394953 | + | 1.00632i | ||||
\(35\) | −11.0959 | + | 3.35838i | −1.87555 | + | 0.567670i | ||||
\(36\) | 5.74789 | − | 0.340346i | 0.957981 | − | 0.0567243i | ||||
\(37\) | 5.63752 | + | 1.73894i | 0.926802 | + | 0.285880i | 0.721177 | − | 0.692750i | \(-0.243601\pi\) |
0.205624 | + | 0.978631i | \(0.434077\pi\) | |||||||
\(38\) | −0.499744 | − | 0.626659i | −0.0810692 | − | 0.101658i | ||||
\(39\) | −3.21716 | + | 0.0951645i | −0.515158 | + | 0.0152385i | ||||
\(40\) | 0.436374 | − | 0.547196i | 0.0689968 | − | 0.0865193i | ||||
\(41\) | 3.76518 | + | 2.56705i | 0.588022 | + | 0.400907i | 0.820459 | − | 0.571705i | \(-0.193718\pi\) |
−0.232437 | + | 0.972611i | \(0.574670\pi\) | |||||||
\(42\) | −9.00110 | − | 1.13399i | −1.38890 | − | 0.174979i | ||||
\(43\) | −6.79537 | + | 4.63300i | −1.03628 | + | 0.706526i | −0.956930 | − | 0.290320i | \(-0.906238\pi\) |
−0.0793542 | + | 0.996846i | \(0.525286\pi\) | |||||||
\(44\) | 0.572003 | − | 7.63285i | 0.0862327 | − | 1.15070i | ||||
\(45\) | 4.07080 | − | 12.4990i | 0.606839 | − | 1.86324i | ||||
\(46\) | 11.0425 | + | 7.52867i | 1.62813 | + | 1.11004i | ||||
\(47\) | −2.65056 | + | 6.75353i | −0.386625 | + | 0.985103i | 0.596573 | + | 0.802559i | \(0.296529\pi\) |
−0.983198 | + | 0.182544i | \(0.941567\pi\) | |||||||
\(48\) | 6.38859 | − | 3.31275i | 0.922114 | − | 0.478155i | ||||
\(49\) | 6.66678 | + | 2.13401i | 0.952398 | + | 0.304859i | ||||
\(50\) | 14.0557 | + | 24.3451i | 1.98777 | + | 3.44292i | ||||
\(51\) | 5.03738 | + | 2.24489i | 0.705375 | + | 0.314347i | ||||
\(52\) | 3.21335 | − | 1.54747i | 0.445612 | − | 0.214595i | ||||
\(53\) | −3.75188 | + | 1.15730i | −0.515361 | + | 0.158968i | −0.541516 | − | 0.840690i | \(-0.682150\pi\) |
0.0261557 | + | 0.999658i | \(0.491673\pi\) | |||||||
\(54\) | 6.89130 | − | 7.63751i | 0.937788 | − | 1.03933i | ||||
\(55\) | −15.7439 | − | 7.58186i | −2.12290 | − | 1.02234i | ||||
\(56\) | −0.404482 | + | 0.122424i | −0.0540512 | + | 0.0163596i | ||||
\(57\) | −0.696206 | − | 0.0839678i | −0.0922147 | − | 0.0111218i | ||||
\(58\) | 3.48502 | − | 4.37007i | 0.457605 | − | 0.573819i | ||||
\(59\) | 2.71086 | − | 1.84823i | 0.352924 | − | 0.240620i | −0.373861 | − | 0.927485i | \(-0.621966\pi\) |
0.726785 | + | 0.686865i | \(0.241014\pi\) | |||||||
\(60\) | 1.51756 | + | 14.4872i | 0.195916 | + | 1.87029i | ||||
\(61\) | −2.89903 | + | 2.68991i | −0.371183 | + | 0.344407i | −0.843604 | − | 0.536966i | \(-0.819571\pi\) |
0.472421 | + | 0.881373i | \(0.343380\pi\) | |||||||
\(62\) | −7.82468 | − | 9.81183i | −0.993735 | − | 1.24610i | ||||
\(63\) | −6.30791 | + | 4.81770i | −0.794722 | + | 0.606973i | ||||
\(64\) | −4.57769 | + | 5.74024i | −0.572211 | + | 0.717530i | ||||
\(65\) | −0.608476 | − | 8.11955i | −0.0754721 | − | 1.00711i | ||||
\(66\) | −8.83851 | − | 10.4346i | −1.08794 | − | 1.28442i | ||||
\(67\) | 0.467061 | − | 0.808973i | 0.0570605 | − | 0.0988318i | −0.836084 | − | 0.548601i | \(-0.815161\pi\) |
0.893145 | + | 0.449769i | \(0.148494\pi\) | |||||||
\(68\) | −6.11123 | −0.741095 | ||||||||
\(69\) | 11.5056 | − | 2.08382i | 1.38511 | − | 0.250863i | ||||
\(70\) | 1.83630 | − | 22.8774i | 0.219479 | − | 2.73437i | ||||
\(71\) | 0.209646 | − | 0.918519i | 0.0248804 | − | 0.109008i | −0.960963 | − | 0.276677i | \(-0.910767\pi\) |
0.985843 | + | 0.167669i | \(0.0536239\pi\) | |||||||
\(72\) | 0.148394 | − | 0.455631i | 0.0174884 | − | 0.0536966i | ||||
\(73\) | −2.49911 | − | 0.376680i | −0.292499 | − | 0.0440871i | 0.00115366 | − | 0.999999i | \(-0.499633\pi\) |
−0.293653 | + | 0.955912i | \(0.594871\pi\) | |||||||
\(74\) | −7.28213 | + | 9.13150i | −0.846531 | + | 1.06152i | ||||
\(75\) | 23.7058 | + | 6.55128i | 2.73731 | + | 0.756476i | ||||
\(76\) | 0.742547 | − | 0.229045i | 0.0851759 | − | 0.0262733i | ||||
\(77\) | 5.22718 | + | 9.16548i | 0.595692 | + | 1.04450i | ||||
\(78\) | 2.15152 | − | 5.99765i | 0.243611 | − | 0.679101i | ||||
\(79\) | 2.76974 | + | 4.79734i | 0.311620 | + | 0.539743i | 0.978713 | − | 0.205232i | \(-0.0657949\pi\) |
−0.667093 | + | 0.744975i | \(0.732462\pi\) | |||||||
\(80\) | 9.10273 | + | 15.7664i | 1.01772 | + | 1.76274i | ||||
\(81\) | −0.391258 | − | 8.99149i | −0.0434731 | − | 0.999055i | ||||
\(82\) | −7.45402 | + | 5.08207i | −0.823159 | + | 0.561220i | ||||
\(83\) | −0.437214 | − | 1.11400i | −0.0479905 | − | 0.122278i | 0.904869 | − | 0.425691i | \(-0.139969\pi\) |
−0.952859 | + | 0.303413i | \(0.901874\pi\) | |||||||
\(84\) | 4.21152 | − | 7.72156i | 0.459514 | − | 0.842491i | ||||
\(85\) | −5.09713 | + | 12.9873i | −0.552862 | + | 1.40867i | ||||
\(86\) | −3.62313 | − | 15.8740i | −0.390692 | − | 1.71173i | ||||
\(87\) | −0.509476 | − | 4.86364i | −0.0546216 | − | 0.521436i | ||||
\(88\) | −0.573918 | − | 0.276384i | −0.0611799 | − | 0.0294627i | ||||
\(89\) | −4.08389 | − | 10.4056i | −0.432891 | − | 1.10299i | −0.966366 | − | 0.257172i | \(-0.917209\pi\) |
0.533475 | − | 0.845816i | \(-0.320886\pi\) | |||||||
\(90\) | 20.0898 | + | 16.5422i | 2.11765 | + | 1.74370i | ||||
\(91\) | −2.48073 | + | 4.24469i | −0.260051 | + | 0.444964i | ||||
\(92\) | −10.7056 | + | 7.29894i | −1.11613 | + | 0.760967i | ||||
\(93\) | −10.9008 | − | 1.31472i | −1.13036 | − | 0.136330i | ||||
\(94\) | −10.5288 | − | 9.76932i | −1.08597 | − | 1.00763i | ||||
\(95\) | 0.132573 | − | 1.76906i | 0.0136017 | − | 0.181502i | ||||
\(96\) | 1.42663 | + | 13.6191i | 0.145605 | + | 1.38999i | ||||
\(97\) | −4.31881 | + | 7.48040i | −0.438509 | + | 0.759520i | −0.997575 | − | 0.0696035i | \(-0.977827\pi\) |
0.559066 | + | 0.829123i | \(0.311160\pi\) | |||||||
\(98\) | −8.75464 | + | 10.7426i | −0.884352 | + | 1.08516i | ||||
\(99\) | −11.9151 | − | 1.08075i | −1.19751 | − | 0.108619i | ||||
\(100\) | −26.9491 | + | 4.06193i | −2.69491 | + | 0.406193i | ||||
\(101\) | 2.46954 | − | 1.18927i | 0.245729 | − | 0.118337i | −0.306966 | − | 0.951720i | \(-0.599314\pi\) |
0.552695 | + | 0.833384i | \(0.313600\pi\) | |||||||
\(102\) | −7.78047 | + | 7.65960i | −0.770381 | + | 0.758413i | ||||
\(103\) | −13.4409 | + | 6.47282i | −1.32438 | + | 0.637786i | −0.956403 | − | 0.292051i | \(-0.905662\pi\) |
−0.367973 | + | 0.929837i | \(0.619948\pi\) | |||||||
\(104\) | −0.0221810 | − | 0.295985i | −0.00217503 | − | 0.0290237i | ||||
\(105\) | −12.8968 | − | 15.3904i | −1.25860 | − | 1.50195i | ||||
\(106\) | 0.580880 | − | 7.75130i | 0.0564200 | − | 0.752873i | ||||
\(107\) | 3.65853 | + | 9.32177i | 0.353683 | + | 0.901170i | 0.991396 | + | 0.130896i | \(0.0417854\pi\) |
−0.637713 | + | 0.770274i | \(0.720119\pi\) | |||||||
\(108\) | 4.45176 | + | 8.92434i | 0.428371 | + | 0.858745i | ||||
\(109\) | −1.95007 | + | 4.96869i | −0.186782 | + | 0.475914i | −0.993337 | − | 0.115246i | \(-0.963234\pi\) |
0.806555 | + | 0.591160i | \(0.201330\pi\) | |||||||
\(110\) | 25.3596 | − | 23.5303i | 2.41794 | − | 2.24352i | ||||
\(111\) | 1.06458 | + | 10.1628i | 0.101045 | + | 0.964613i | ||||
\(112\) | 0.879523 | − | 10.9575i | 0.0831071 | − | 1.03538i | ||||
\(113\) | 6.58256 | + | 0.992162i | 0.619235 | + | 0.0933347i | 0.451165 | − | 0.892440i | \(-0.351008\pi\) |
0.168070 | + | 0.985775i | \(0.446247\pi\) | |||||||
\(114\) | 0.658291 | − | 1.22229i | 0.0616546 | − | 0.114478i | ||||
\(115\) | 6.58225 | + | 28.8387i | 0.613798 | + | 2.68923i | ||||
\(116\) | 2.70949 | + | 4.69297i | 0.251570 | + | 0.435731i | ||||
\(117\) | −2.33985 | − | 5.05990i | −0.216319 | − | 0.467788i | ||||
\(118\) | 1.44537 | + | 6.33256i | 0.133057 | + | 0.582959i | ||||
\(119\) | 6.98546 | − | 4.70862i | 0.640356 | − | 0.431638i | ||||
\(120\) | 1.16845 | + | 0.322909i | 0.106664 | + | 0.0294774i | ||||
\(121\) | −1.09129 | + | 4.78125i | −0.0992082 | + | 0.434659i | ||||
\(122\) | −2.86037 | − | 7.28809i | −0.258965 | − | 0.659833i | ||||
\(123\) | −1.52806 | + | 7.74364i | −0.137781 | + | 0.698221i | ||||
\(124\) | 11.6263 | − | 3.58625i | 1.04407 | − | 0.322054i | ||||
\(125\) | −8.96986 | + | 39.2995i | −0.802288 | + | 3.51506i | ||||
\(126\) | −4.31607 | − | 15.1092i | −0.384506 | − | 1.34604i | ||||
\(127\) | −3.96076 | − | 17.3532i | −0.351460 | − | 1.53985i | −0.773812 | − | 0.633416i | \(-0.781652\pi\) |
0.422351 | − | 0.906432i | \(-0.361205\pi\) | |||||||
\(128\) | 0.638396 | + | 1.10573i | 0.0564268 | + | 0.0977341i | ||||
\(129\) | −12.0020 | − | 7.67308i | −1.05672 | − | 0.675577i | ||||
\(130\) | 15.4034 | + | 4.75132i | 1.35097 | + | 0.416719i | ||||
\(131\) | −1.90560 | − | 0.917688i | −0.166493 | − | 0.0801788i | 0.348781 | − | 0.937204i | \(-0.386596\pi\) |
−0.515274 | + | 0.857025i | \(0.672310\pi\) | |||||||
\(132\) | 12.5475 | − | 4.28060i | 1.09212 | − | 0.372579i | ||||
\(133\) | −0.672295 | + | 0.833933i | −0.0582953 | + | 0.0723112i | ||||
\(134\) | 1.15302 | + | 1.44584i | 0.0996060 | + | 0.124902i | ||||
\(135\) | 22.6786 | − | 2.01723i | 1.95186 | − | 0.173615i | ||||
\(136\) | −0.185808 | + | 0.473430i | −0.0159329 | + | 0.0405963i | ||||
\(137\) | 17.9145 | + | 8.62717i | 1.53054 | + | 0.737069i | 0.994262 | − | 0.106973i | \(-0.0341158\pi\) |
0.536277 | + | 0.844042i | \(0.319830\pi\) | |||||||
\(138\) | −4.48150 | + | 22.7106i | −0.381491 | + | 1.93325i | ||||
\(139\) | 11.7653 | + | 8.02145i | 0.997920 | + | 0.680371i | 0.947963 | − | 0.318381i | \(-0.103139\pi\) |
0.0499574 | + | 0.998751i | \(0.484091\pi\) | |||||||
\(140\) | 19.9957 | + | 9.76020i | 1.68995 | + | 0.824887i | ||||
\(141\) | −12.5606 | + | 0.371546i | −1.05779 | + | 0.0312898i | ||||
\(142\) | 1.54108 | + | 1.05069i | 0.129325 | + | 0.0881723i | ||||
\(143\) | −7.08144 | + | 2.18434i | −0.592180 | + | 0.182663i | ||||
\(144\) | 9.62233 | + | 7.92315i | 0.801860 | + | 0.660262i | ||||
\(145\) | 12.2331 | − | 1.84385i | 1.01591 | − | 0.153123i | ||||
\(146\) | 2.50172 | − | 4.33311i | 0.207044 | − | 0.358611i | ||||
\(147\) | 1.13536 | + | 12.0711i | 0.0936432 | + | 0.995606i | ||||
\(148\) | −5.66162 | − | 9.80622i | −0.465382 | − | 0.806066i | ||||
\(149\) | 0.649742 | + | 0.814751i | 0.0532289 | + | 0.0667470i | 0.807733 | − | 0.589548i | \(-0.200694\pi\) |
−0.754504 | + | 0.656295i | \(0.772123\pi\) | |||||||
\(150\) | −29.2190 | + | 38.9485i | −2.38572 | + | 3.18013i | ||||
\(151\) | 4.91158 | − | 21.5190i | 0.399699 | − | 1.75119i | −0.228887 | − | 0.973453i | \(-0.573509\pi\) |
0.628585 | − | 0.777741i | \(-0.283634\pi\) | |||||||
\(152\) | 0.00483273 | − | 0.0644883i | 0.000391986 | − | 0.00523069i | ||||
\(153\) | −0.149548 | + | 9.55102i | −0.0120902 | + | 0.772154i | ||||
\(154\) | −20.6715 | + | 3.00387i | −1.66576 | + | 0.242059i | ||||
\(155\) | 2.07574 | − | 27.6989i | 0.166728 | − | 2.22483i | ||||
\(156\) | 4.65065 | + | 4.06600i | 0.372350 | + | 0.325541i | ||||
\(157\) | −4.71982 | + | 3.21792i | −0.376683 | + | 0.256818i | −0.736831 | − | 0.676077i | \(-0.763679\pi\) |
0.360148 | + | 0.932895i | \(0.382726\pi\) | |||||||
\(158\) | −10.8442 | + | 1.63450i | −0.862717 | + | 0.130034i | ||||
\(159\) | −4.39545 | − | 5.18922i | −0.348582 | − | 0.411532i | ||||
\(160\) | −34.2552 | + | 5.16313i | −2.70811 | + | 0.408182i | ||||
\(161\) | 6.61332 | − | 16.5916i | 0.521203 | − | 1.30760i | ||||
\(162\) | 16.8532 | + | 5.78228i | 1.32411 | + | 0.454299i | ||||
\(163\) | −11.8375 | + | 8.07065i | −0.927183 | + | 0.632142i | −0.929884 | − | 0.367854i | \(-0.880093\pi\) |
0.00270105 | + | 0.999996i | \(0.499140\pi\) | |||||||
\(164\) | −1.94625 | − | 8.52706i | −0.151976 | − | 0.665851i | ||||
\(165\) | 1.36843 | − | 30.2356i | 0.106532 | − | 2.35384i | ||||
\(166\) | 2.36920 | 0.183885 | ||||||||
\(167\) | −8.25379 | + | 7.65840i | −0.638698 | + | 0.592625i | −0.931586 | − | 0.363522i | \(-0.881574\pi\) |
0.292888 | + | 0.956147i | \(0.405384\pi\) | |||||||
\(168\) | −0.470133 | − | 0.561031i | −0.0362715 | − | 0.0432845i | ||||
\(169\) | 6.99840 | + | 6.49357i | 0.538339 | + | 0.499505i | ||||
\(170\) | −20.2473 | − | 18.7868i | −1.55290 | − | 1.44088i | ||||
\(171\) | −0.339796 | − | 1.16610i | −0.0259848 | − | 0.0891742i | ||||
\(172\) | 15.6090 | + | 2.35268i | 1.19018 | + | 0.179391i | ||||
\(173\) | −17.2040 | + | 5.30674i | −1.30800 | + | 0.403464i | −0.868906 | − | 0.494977i | \(-0.835176\pi\) |
−0.439093 | + | 0.898442i | \(0.644700\pi\) | |||||||
\(174\) | 9.33157 | + | 2.57885i | 0.707424 | + | 0.195502i | ||||
\(175\) | 27.6747 | − | 25.4069i | 2.09201 | − | 1.92058i | ||||
\(176\) | 12.1464 | − | 11.2702i | 0.915567 | − | 0.849522i | ||||
\(177\) | 4.78795 | + | 3.06101i | 0.359884 | + | 0.230079i | ||||
\(178\) | 22.1299 | 1.65871 | ||||||||
\(179\) | 14.3018 | − | 13.2702i | 1.06897 | − | 0.991859i | 0.0689868 | − | 0.997618i | \(-0.478023\pi\) |
0.999983 | + | 0.00575811i | \(0.00183287\pi\) | |||||||
\(180\) | −22.0445 | + | 12.2713i | −1.64310 | + | 0.914648i | ||||
\(181\) | 14.4337 | − | 18.0993i | 1.07285 | − | 1.34531i | 0.137930 | − | 0.990442i | \(-0.455955\pi\) |
0.934917 | − | 0.354866i | \(-0.115473\pi\) | |||||||
\(182\) | −6.02818 | − | 7.64176i | −0.446838 | − | 0.566445i | ||||
\(183\) | −6.25664 | − | 2.78825i | −0.462504 | − | 0.206113i | ||||
\(184\) | 0.239945 | + | 1.05127i | 0.0176890 | + | 0.0775006i | ||||
\(185\) | −25.5618 | + | 3.85283i | −1.87934 | + | 0.283265i | ||||
\(186\) | 10.3071 | − | 19.1378i | 0.755753 | − | 1.40325i | ||||
\(187\) | 12.5562 | + | 1.89255i | 0.918203 | + | 0.138397i | ||||
\(188\) | 12.5457 | − | 6.04171i | 0.914993 | − | 0.440637i | ||||
\(189\) | −11.9647 | − | 6.77098i | −0.870303 | − | 0.492517i | ||||
\(190\) | 3.16427 | + | 1.52383i | 0.229561 | + | 0.110551i | ||||
\(191\) | −7.24578 | − | 4.94009i | −0.524286 | − | 0.357452i | 0.272073 | − | 0.962277i | \(-0.412291\pi\) |
−0.796359 | + | 0.604824i | \(0.793243\pi\) | |||||||
\(192\) | −12.2573 | − | 3.38741i | −0.884597 | − | 0.244465i | ||||
\(193\) | 1.43806 | − | 19.1896i | 0.103514 | − | 1.38130i | −0.667563 | − | 0.744554i | \(-0.732662\pi\) |
0.771076 | − | 0.636743i | \(-0.219719\pi\) | |||||||
\(194\) | −10.6618 | − | 13.3694i | −0.765470 | − | 0.959869i | ||||
\(195\) | 12.5198 | − | 6.49204i | 0.896561 | − | 0.464904i | ||||
\(196\) | −6.59401 | − | 11.7057i | −0.471001 | − | 0.836124i | ||||
\(197\) | −7.19239 | −0.512437 | −0.256218 | − | 0.966619i | \(-0.582477\pi\) | ||||
−0.256218 | + | 0.966619i | \(0.582477\pi\) | |||||||
\(198\) | 10.6096 | − | 21.1764i | 0.753991 | − | 1.50494i | ||||
\(199\) | 17.4296 | + | 11.8833i | 1.23555 | + | 0.842384i | 0.991843 | − | 0.127465i | \(-0.0406842\pi\) |
0.243707 | + | 0.969849i | \(0.421637\pi\) | |||||||
\(200\) | −0.504697 | + | 2.21122i | −0.0356875 | + | 0.156357i | ||||
\(201\) | 1.60630 | + | 0.193733i | 0.113300 | + | 0.0136649i | ||||
\(202\) | 0.405516 | + | 5.41123i | 0.0285320 | + | 0.380733i | ||||
\(203\) | −6.71296 | − | 3.27669i | −0.471157 | − | 0.229979i | ||||
\(204\) | −4.15676 | − | 9.73461i | −0.291032 | − | 0.681559i | ||||
\(205\) | −19.7446 | − | 2.97602i | −1.37902 | − | 0.207854i | ||||
\(206\) | −2.20709 | − | 29.4516i | −0.153775 | − | 2.05199i | ||||
\(207\) | 11.1453 | + | 16.9100i | 0.774650 | + | 1.17532i | ||||
\(208\) | 7.37771 | + | 2.27572i | 0.511552 | + | 0.157793i | ||||
\(209\) | −1.59658 | + | 0.240646i | −0.110438 | + | 0.0166458i | ||||
\(210\) | 37.6905 | − | 12.6358i | 2.60089 | − | 0.871951i | ||||
\(211\) | 6.68836 | + | 1.00811i | 0.460446 | + | 0.0694010i | 0.375169 | − | 0.926956i | \(-0.377585\pi\) |
0.0852763 | + | 0.996357i | \(0.472823\pi\) | |||||||
\(212\) | 6.78957 | + | 3.26968i | 0.466309 | + | 0.224563i | ||||
\(213\) | 1.60571 | − | 0.290816i | 0.110022 | − | 0.0199264i | ||||
\(214\) | −19.8250 | −1.35521 | ||||||||
\(215\) | 18.0187 | − | 31.2093i | 1.22886 | − | 2.12846i | ||||
\(216\) | 0.826712 | − | 0.0735348i | 0.0562507 | − | 0.00500341i | ||||
\(217\) | −10.5264 | + | 13.0572i | −0.714576 | + | 0.886380i | ||||
\(218\) | −7.74624 | − | 7.18746i | −0.524641 | − | 0.486796i | ||||
\(219\) | −1.09984 | − | 4.23706i | −0.0743204 | − | 0.286314i | ||||
\(220\) | 12.2531 | + | 31.2205i | 0.826107 | + | 2.10489i | ||||
\(221\) | 2.16163 | + | 5.50775i | 0.145407 | + | 0.370491i | ||||
\(222\) | −19.4988 | − | 5.38864i | −1.30868 | − | 0.361662i | ||||
\(223\) | 14.0039 | + | 12.9938i | 0.937773 | + | 0.870126i | 0.991720 | − | 0.128418i | \(-0.0409898\pi\) |
−0.0539472 | + | 0.998544i | \(0.517180\pi\) | |||||||
\(224\) | 18.7976 | + | 9.17537i | 1.25597 | + | 0.613055i | ||||
\(225\) | 5.68877 | + | 42.2172i | 0.379251 | + | 2.81448i | ||||
\(226\) | −6.58944 | + | 11.4132i | −0.438323 | + | 0.759197i | ||||
\(227\) | 14.8010 | 0.982378 | 0.491189 | − | 0.871053i | \(-0.336562\pi\) | ||||
0.491189 | + | 0.871053i | \(0.336562\pi\) | |||||||
\(228\) | 0.869916 | + | 1.02701i | 0.0576116 | + | 0.0680156i | ||||
\(229\) | 3.14012 | + | 1.51220i | 0.207505 | + | 0.0999292i | 0.534750 | − | 0.845010i | \(-0.320406\pi\) |
−0.327245 | + | 0.944940i | \(0.606120\pi\) | |||||||
\(230\) | −57.9070 | − | 8.72807i | −3.81827 | − | 0.575512i | ||||
\(231\) | −11.0443 | + | 14.5606i | −0.726662 | + | 0.958019i | ||||
\(232\) | 0.445940 | − | 0.0672146i | 0.0292774 | − | 0.00441285i | ||||
\(233\) | −7.24777 | − | 2.23564i | −0.474817 | − | 0.146462i | 0.0481046 | − | 0.998842i | \(-0.484682\pi\) |
−0.522922 | + | 0.852381i | \(0.675158\pi\) | |||||||
\(234\) | 11.0171 | − | 0.652350i | 0.720212 | − | 0.0426455i | ||||
\(235\) | −2.37564 | − | 31.7008i | −0.154970 | − | 2.06793i | ||||
\(236\) | −6.22688 | − | 0.938551i | −0.405335 | − | 0.0610945i | ||||
\(237\) | −5.75777 | + | 7.67501i | −0.374007 | + | 0.498546i | ||||
\(238\) | 3.62498 | + | 16.2790i | 0.234973 | + | 1.05521i | ||||
\(239\) | 0.656246 | + | 8.75699i | 0.0424490 | + | 0.566443i | 0.977363 | + | 0.211569i | \(0.0678572\pi\) |
−0.934914 | + | 0.354874i | \(0.884524\pi\) | |||||||
\(240\) | −18.9228 | + | 25.2239i | −1.22146 | + | 1.62819i | ||||
\(241\) | 3.37001 | − | 14.7650i | 0.217082 | − | 0.951096i | −0.742540 | − | 0.669802i | \(-0.766379\pi\) |
0.959621 | − | 0.281295i | \(-0.0907638\pi\) | |||||||
\(242\) | −8.02195 | − | 5.46928i | −0.515671 | − | 0.351578i | ||||
\(243\) | 14.0565 | − | 6.73911i | 0.901723 | − | 0.432314i | ||||
\(244\) | 7.59040 | 0.485926 | ||||||||
\(245\) | −30.3763 | + | 4.24998i | −1.94067 | + | 0.271521i | ||||
\(246\) | −13.1654 | − | 8.41681i | −0.839393 | − | 0.536636i | ||||
\(247\) | −0.469077 | − | 0.588204i | −0.0298467 | − | 0.0374265i | ||||
\(248\) | 0.0756678 | − | 1.00972i | 0.00480491 | − | 0.0641171i | ||||
\(249\) | 1.47712 | − | 1.45417i | 0.0936084 | − | 0.0921542i | ||||
\(250\) | −65.9364 | − | 44.9547i | −4.17019 | − | 2.84318i | ||||
\(251\) | 5.97787 | + | 2.87879i | 0.377320 | + | 0.181708i | 0.612925 | − | 0.790141i | \(-0.289993\pi\) |
−0.235605 | + | 0.971849i | \(0.575707\pi\) | |||||||
\(252\) | 15.1643 | + | 1.45646i | 0.955263 | + | 0.0917487i | ||||
\(253\) | 24.2562 | − | 11.6812i | 1.52498 | − | 0.734390i | ||||
\(254\) | 34.8445 | + | 5.25197i | 2.18634 | + | 0.329538i | ||||
\(255\) | −24.1545 | + | 0.714497i | −1.51261 | + | 0.0447436i | ||||
\(256\) | −17.0196 | + | 2.56528i | −1.06372 | + | 0.160330i | ||||
\(257\) | 1.63975 | + | 7.18423i | 0.102285 | + | 0.448140i | 0.999972 | + | 0.00750600i | \(0.00238926\pi\) |
−0.897687 | + | 0.440634i | \(0.854754\pi\) | |||||||
\(258\) | 22.8213 | − | 16.5685i | 1.42079 | − | 1.03151i | ||||
\(259\) | 14.0271 | + | 6.84683i | 0.871601 | + | 0.425442i | ||||
\(260\) | −9.74370 | + | 12.2182i | −0.604279 | + | 0.757742i | ||||
\(261\) | 7.40078 | − | 4.11972i | 0.458097 | − | 0.255004i | ||||
\(262\) | 3.06946 | − | 2.84804i | 0.189632 | − | 0.175953i | ||||
\(263\) | 4.00890 | 0.247199 | 0.123600 | − | 0.992332i | \(-0.460556\pi\) | ||||
0.123600 | + | 0.992332i | \(0.460556\pi\) | |||||||
\(264\) | 0.0498840 | − | 1.10219i | 0.00307015 | − | 0.0678351i | ||||
\(265\) | 12.6115 | − | 11.7017i | 0.774717 | − | 0.718833i | ||||
\(266\) | −1.05058 | − | 1.84212i | −0.0644152 | − | 0.112948i | ||||
\(267\) | 13.7973 | − | 13.5830i | 0.844381 | − | 0.831263i | ||||
\(268\) | −1.71322 | + | 0.528459i | −0.104652 | + | 0.0322808i | ||||
\(269\) | −1.64294 | − | 0.247633i | −0.100172 | − | 0.0150984i | 0.0987652 | − | 0.995111i | \(-0.468511\pi\) |
−0.198937 | + | 0.980012i | \(0.563749\pi\) | |||||||
\(270\) | −12.6854 | + | 43.2529i | −0.772008 | + | 2.63229i | ||||
\(271\) | −0.126305 | − | 0.117194i | −0.00767249 | − | 0.00711903i | 0.676327 | − | 0.736601i | \(-0.263571\pi\) |
−0.684000 | + | 0.729482i | \(0.739761\pi\) | |||||||
\(272\) | −9.69778 | − | 8.99822i | −0.588014 | − | 0.545597i | ||||
\(273\) | −8.44874 | − | 1.06440i | −0.511341 | − | 0.0644206i | ||||
\(274\) | −28.8559 | + | 26.7744i | −1.74325 | + | 1.61750i | ||||
\(275\) | 56.6281 | 3.41480 | ||||||||
\(276\) | −18.9083 | − | 12.0884i | −1.13815 | − | 0.727633i | ||||
\(277\) | 6.88354 | + | 30.1587i | 0.413592 | + | 1.81206i | 0.566784 | + | 0.823867i | \(0.308188\pi\) |
−0.153192 | + | 0.988196i | \(0.548955\pi\) | |||||||
\(278\) | −23.2921 | + | 15.8803i | −1.39697 | + | 0.952436i | ||||
\(279\) | −5.32031 | − | 18.2581i | −0.318518 | − | 1.09309i | ||||
\(280\) | 1.36407 | − | 1.25229i | 0.0815187 | − | 0.0748389i | ||||
\(281\) | 17.7004 | − | 2.66790i | 1.05592 | − | 0.159154i | 0.401938 | − | 0.915667i | \(-0.368337\pi\) |
0.653978 | + | 0.756513i | \(0.273099\pi\) | |||||||
\(282\) | 8.40006 | − | 23.4164i | 0.500216 | − | 1.39442i | ||||
\(283\) | −9.10178 | + | 1.37187i | −0.541045 | + | 0.0815493i | −0.413879 | − | 0.910332i | \(-0.635826\pi\) |
−0.127166 | + | 0.991881i | \(0.540588\pi\) | |||||||
\(284\) | −1.49406 | + | 1.01863i | −0.0886562 | + | 0.0604448i | ||||
\(285\) | 2.90812 | − | 0.992113i | 0.172262 | − | 0.0587677i | ||||
\(286\) | 1.09637 | − | 14.6301i | 0.0648300 | − | 0.865096i | ||||
\(287\) | 8.79465 | + | 8.24733i | 0.519132 | + | 0.486825i | ||||
\(288\) | −20.7236 | + | 11.5360i | −1.22115 | + | 0.679765i | ||||
\(289\) | −0.512779 | + | 6.84256i | −0.0301635 | + | 0.402504i | ||||
\(290\) | −5.44995 | + | 23.8778i | −0.320032 | + | 1.40215i | ||||
\(291\) | −14.8532 | − | 1.79141i | −0.870708 | − | 0.105014i | ||||
\(292\) | 3.02440 | + | 3.79248i | 0.176990 | + | 0.221938i | ||||
\(293\) | −7.94478 | − | 13.7608i | −0.464139 | − | 0.803912i | 0.535023 | − | 0.844837i | \(-0.320303\pi\) |
−0.999162 | + | 0.0409253i | \(0.986969\pi\) | |||||||
\(294\) | −23.0667 | − | 6.63838i | −1.34528 | − | 0.387158i | ||||
\(295\) | −7.18816 | + | 12.4503i | −0.418511 | + | 0.724882i | ||||
\(296\) | −0.931815 | + | 0.140449i | −0.0541607 | + | 0.00816341i | ||||
\(297\) | −6.38295 | − | 19.7148i | −0.370376 | − | 1.14397i | ||||
\(298\) | −1.97143 | + | 0.608104i | −0.114202 | + | 0.0352265i | ||||
\(299\) | 10.3649 | + | 7.06667i | 0.599418 | + | 0.408676i | ||||
\(300\) | −24.8007 | − | 40.1646i | −1.43187 | − | 2.31890i | ||||
\(301\) | −19.6547 | + | 9.33731i | −1.13288 | + | 0.538193i | ||||
\(302\) | 36.1045 | + | 24.6156i | 2.07758 | + | 1.41647i | ||||
\(303\) | 3.57414 | + | 3.12483i | 0.205329 | + | 0.179517i | ||||
\(304\) | 1.51558 | + | 0.729865i | 0.0869244 | + | 0.0418606i | ||||
\(305\) | 6.33086 | − | 16.1308i | 0.362504 | − | 0.923644i | ||||
\(306\) | −17.4932 | − | 7.18361i | −1.00002 | − | 0.410660i | ||||
\(307\) | 11.6780 | + | 14.6438i | 0.666501 | + | 0.835766i | 0.994034 | − | 0.109074i | \(-0.0347884\pi\) |
−0.327532 | + | 0.944840i | \(0.606217\pi\) | |||||||
\(308\) | 4.61082 | − | 19.7194i | 0.262726 | − | 1.12362i | ||||
\(309\) | −19.4529 | − | 17.0074i | −1.10664 | − | 0.967520i | ||||
\(310\) | 49.5442 | + | 23.8592i | 2.81392 | + | 1.35511i | ||||
\(311\) | −2.77121 | − | 0.854806i | −0.157141 | − | 0.0484716i | 0.215187 | − | 0.976573i | \(-0.430964\pi\) |
−0.372328 | + | 0.928101i | \(0.621440\pi\) | |||||||
\(312\) | 0.456389 | − | 0.236657i | 0.0258379 | − | 0.0133980i | ||||
\(313\) | 5.46821 | + | 9.47122i | 0.309082 | + | 0.535345i | 0.978162 | − | 0.207845i | \(-0.0666450\pi\) |
−0.669080 | + | 0.743190i | \(0.733312\pi\) | |||||||
\(314\) | −2.51650 | − | 11.0255i | −0.142014 | − | 0.622204i | ||||
\(315\) | 15.7432 | − | 31.0117i | 0.887028 | − | 1.74731i | ||||
\(316\) | 2.36585 | − | 10.3655i | 0.133089 | − | 0.583103i | ||||
\(317\) | 16.2360 | − | 5.00813i | 0.911902 | − | 0.281284i | 0.196914 | − | 0.980421i | \(-0.436908\pi\) |
0.714988 | + | 0.699136i | \(0.246432\pi\) | |||||||
\(318\) | 12.7422 | − | 4.34703i | 0.714547 | − | 0.243769i | ||||
\(319\) | −4.11363 | − | 10.4813i | −0.230319 | − | 0.586843i | ||||
\(320\) | 7.15870 | − | 31.3643i | 0.400183 | − | 1.75332i | ||||
\(321\) | −12.3602 | + | 12.1682i | −0.689881 | + | 0.679164i | ||||
\(322\) | 25.7930 | + | 24.1878i | 1.43739 | + | 1.34793i | ||||
\(323\) | 0.286857 | + | 1.25680i | 0.0159612 | + | 0.0699304i | ||||
\(324\) | −11.1876 | + | 13.1614i | −0.621534 | + | 0.731191i | ||||
\(325\) | 13.1931 | + | 22.8512i | 0.731823 | + | 1.26755i | ||||
\(326\) | −6.31146 | − | 27.6523i | −0.349559 | − | 1.53152i | ||||
\(327\) | −9.24106 | + | 0.273353i | −0.511032 | + | 0.0151165i | ||||
\(328\) | −0.719757 | − | 0.108486i | −0.0397419 | − | 0.00599013i | ||||
\(329\) | −9.68541 | + | 16.5723i | −0.533974 | + | 0.913662i | ||||
\(330\) | 54.7307 | + | 24.3905i | 3.01282 | + | 1.34265i | ||||
\(331\) | −2.18298 | + | 2.02551i | −0.119987 | + | 0.111332i | −0.737885 | − | 0.674927i | \(-0.764175\pi\) |
0.617897 | + | 0.786259i | \(0.287985\pi\) | |||||||
\(332\) | −0.839153 | + | 2.13813i | −0.0460545 | + | 0.117345i | ||||
\(333\) | −15.4643 | + | 8.60838i | −0.847440 | + | 0.471736i | ||||
\(334\) | −8.14371 | − | 20.7498i | −0.445604 | − | 1.13538i | ||||
\(335\) | −0.305876 | + | 4.08163i | −0.0167118 | + | 0.223003i | ||||
\(336\) | 18.0525 | − | 6.05211i | 0.984842 | − | 0.330169i | ||||
\(337\) | −2.43903 | − | 32.5467i | −0.132863 | − | 1.77293i | −0.523154 | − | 0.852238i | \(-0.675245\pi\) |
0.390292 | − | 0.920691i | \(-0.372374\pi\) | |||||||
\(338\) | −17.0286 | + | 8.20055i | −0.926235 | + | 0.446051i | ||||
\(339\) | 2.89694 | + | 11.1603i | 0.157340 | + | 0.606142i | ||||
\(340\) | 24.1259 | − | 11.6184i | 1.30841 | − | 0.630098i | ||||
\(341\) | −24.9983 | + | 3.76788i | −1.35373 | + | 0.204042i | ||||
\(342\) | 2.39475 | + | 0.217213i | 0.129493 | + | 0.0117455i | ||||
\(343\) | 16.5564 | + | 8.29970i | 0.893963 | + | 0.448141i | ||||
\(344\) | 0.656843 | − | 1.13768i | 0.0354146 | − | 0.0613398i | ||||
\(345\) | −41.4602 | + | 30.1006i | −2.23214 | + | 1.62056i | ||||
\(346\) | 2.66359 | − | 35.5431i | 0.143196 | − | 1.91081i | ||||
\(347\) | 6.76235 | + | 6.27454i | 0.363022 | + | 0.336835i | 0.840503 | − | 0.541807i | \(-0.182260\pi\) |
−0.477481 | + | 0.878642i | \(0.658450\pi\) | |||||||
\(348\) | −5.63251 | + | 7.50804i | −0.301934 | + | 0.402473i | ||||
\(349\) | 1.71626 | − | 1.17013i | 0.0918694 | − | 0.0626355i | −0.516514 | − | 0.856279i | \(-0.672771\pi\) |
0.608384 | + | 0.793643i | \(0.291818\pi\) | |||||||
\(350\) | 26.8054 | + | 69.3772i | 1.43281 | + | 3.70837i | ||||
\(351\) | 6.46842 | − | 7.16883i | 0.345259 | − | 0.382644i | ||||
\(352\) | 11.5189 | + | 29.3498i | 0.613961 | + | 1.56435i | ||||
\(353\) | −22.1412 | − | 10.6627i | −1.17846 | − | 0.567516i | −0.260997 | − | 0.965340i | \(-0.584051\pi\) |
−0.917462 | + | 0.397824i | \(0.869765\pi\) | |||||||
\(354\) | −9.10406 | + | 6.60964i | −0.483875 | + | 0.351298i | ||||
\(355\) | 0.918613 | + | 4.02471i | 0.0487549 | + | 0.213609i | ||||
\(356\) | −7.83827 | + | 19.9716i | −0.415428 | + | 1.05849i | ||||
\(357\) | 12.2518 | + | 7.92446i | 0.648433 | + | 0.419407i | ||||
\(358\) | 14.1111 | + | 35.9545i | 0.745795 | + | 1.90026i | ||||
\(359\) | −1.69743 | + | 1.15729i | −0.0895867 | + | 0.0610792i | −0.607285 | − | 0.794484i | \(-0.707741\pi\) |
0.517698 | + | 0.855563i | \(0.326789\pi\) | |||||||
\(360\) | 0.280396 | + | 2.08086i | 0.0147782 | + | 0.109671i | ||||
\(361\) | 9.41804 | + | 16.3125i | 0.495686 | + | 0.858554i | ||||
\(362\) | 22.9152 | + | 39.6902i | 1.20439 | + | 2.08607i | ||||
\(363\) | −8.35837 | + | 1.51381i | −0.438700 | + | 0.0794546i | ||||
\(364\) | 9.03159 | − | 2.73358i | 0.473384 | − | 0.143279i | ||||
\(365\) | 10.5821 | − | 3.26416i | 0.553894 | − | 0.170854i | ||||
\(366\) | 9.66367 | − | 9.51354i | 0.505128 | − | 0.497281i | ||||
\(367\) | −19.5252 | + | 24.4838i | −1.01921 | + | 1.27805i | −0.0591482 | + | 0.998249i | \(0.518838\pi\) |
−0.960059 | + | 0.279797i | \(0.909733\pi\) | |||||||
\(368\) | −27.7355 | − | 4.18045i | −1.44581 | − | 0.217921i | ||||
\(369\) | −13.3743 | + | 2.83305i | −0.696236 | + | 0.147483i | ||||
\(370\) | 11.3880 | − | 49.8939i | 0.592032 | − | 2.59386i | ||||
\(371\) | −10.2801 | + | 1.49384i | −0.533716 | + | 0.0775565i | ||||
\(372\) | 13.6206 | + | 16.0803i | 0.706195 | + | 0.833726i | ||||
\(373\) | 9.16938 | 0.474772 | 0.237386 | − | 0.971415i | \(-0.423709\pi\) | ||||
0.237386 | + | 0.971415i | \(0.423709\pi\) | |||||||
\(374\) | −12.5694 | + | 21.7708i | −0.649946 | + | 1.12574i | ||||
\(375\) | −68.7016 | + | 12.4428i | −3.54773 | + | 0.642543i | ||||
\(376\) | −0.0866003 | − | 1.15560i | −0.00446607 | − | 0.0595955i | ||||
\(377\) | 3.27116 | − | 4.10190i | 0.168473 | − | 0.211259i | ||||
\(378\) | 21.1318 | − | 17.1521i | 1.08690 | − | 0.882211i | ||||
\(379\) | −18.9019 | − | 23.7022i | −0.970925 | − | 1.21750i | −0.976057 | − | 0.217515i | \(-0.930205\pi\) |
0.00513193 | − | 0.999987i | \(-0.498366\pi\) | |||||||
\(380\) | −2.49598 | + | 2.31593i | −0.128041 | + | 0.118805i | ||||
\(381\) | 24.9480 | − | 18.1125i | 1.27812 | − | 0.927931i | ||||
\(382\) | 14.3447 | − | 9.78003i | 0.733937 | − | 0.500390i | ||||
\(383\) | 8.58508 | − | 10.7654i | 0.438677 | − | 0.550084i | −0.512517 | − | 0.858677i | \(-0.671287\pi\) |
0.951194 | + | 0.308593i | \(0.0998582\pi\) | |||||||
\(384\) | −1.32710 | + | 1.76901i | −0.0677235 | + | 0.0902744i | ||||
\(385\) | −38.0610 | − | 26.2458i | −1.93977 | − | 1.33761i | ||||
\(386\) | 34.3239 | + | 16.5295i | 1.74704 | + | 0.841330i | ||||
\(387\) | 4.05889 | − | 24.3372i | 0.206325 | − | 1.23713i | ||||
\(388\) | 15.8418 | − | 4.88655i | 0.804246 | − | 0.248077i | ||||
\(389\) | −16.2694 | + | 7.83493i | −0.824891 | + | 0.397246i | −0.798196 | − | 0.602397i | \(-0.794212\pi\) |
−0.0266943 | + | 0.999644i | \(0.508498\pi\) | |||||||
\(390\) | 2.90875 | + | 27.7680i | 0.147290 | + | 1.40609i | ||||
\(391\) | −10.7475 | − | 18.6153i | −0.543527 | − | 0.941416i | ||||
\(392\) | −1.10732 | + | 0.154926i | −0.0559280 | + | 0.00782495i | ||||
\(393\) | 0.165632 | − | 3.65964i | 0.00835501 | − | 0.184604i | ||||
\(394\) | 5.20208 | − | 13.2547i | 0.262077 | − | 0.667762i | ||||
\(395\) | −20.0549 | − | 13.6732i | −1.00907 | − | 0.687974i | ||||
\(396\) | 15.3532 | + | 17.0754i | 0.771527 | + | 0.858069i | ||||
\(397\) | 1.35610 | − | 18.0959i | 0.0680605 | − | 0.908205i | −0.853780 | − | 0.520635i | \(-0.825695\pi\) |
0.921840 | − | 0.387570i | \(-0.126686\pi\) | |||||||
\(398\) | −34.5058 | + | 23.5256i | −1.72962 | + | 1.17923i | ||||
\(399\) | −1.78566 | − | 0.503674i | −0.0893949 | − | 0.0252152i | ||||
\(400\) | −48.7458 | − | 33.2343i | −2.43729 | − | 1.66172i | ||||
\(401\) | −17.9539 | + | 22.5134i | −0.896573 | + | 1.12427i | 0.0950974 | + | 0.995468i | \(0.469684\pi\) |
−0.991671 | + | 0.128799i | \(0.958888\pi\) | |||||||
\(402\) | −1.51883 | + | 2.82010i | −0.0757522 | + | 0.140654i | ||||
\(403\) | −7.34451 | − | 9.20973i | −0.365856 | − | 0.458769i | ||||
\(404\) | −5.02710 | − | 1.55066i | −0.250108 | − | 0.0771480i | ||||
\(405\) | 18.6389 | + | 34.7528i | 0.926175 | + | 1.72688i | ||||
\(406\) | 10.8939 | − | 10.0012i | 0.540653 | − | 0.496351i | ||||
\(407\) | 8.59565 | + | 21.9013i | 0.426070 | + | 1.08561i | ||||
\(408\) | −0.880514 | + | 0.0260459i | −0.0435919 | + | 0.00128946i | ||||
\(409\) | 9.90276 | + | 3.05460i | 0.489660 | + | 0.151040i | 0.529746 | − | 0.848156i | \(-0.322287\pi\) |
−0.0400864 | + | 0.999196i | \(0.512763\pi\) | |||||||
\(410\) | 19.7652 | − | 34.2343i | 0.976133 | − | 1.69071i | ||||
\(411\) | −1.55710 | + | 34.4042i | −0.0768061 | + | 1.69703i | ||||
\(412\) | 27.3609 | + | 8.43972i | 1.34798 | + | 0.415795i | ||||
\(413\) | 7.84080 | − | 3.72491i | 0.385821 | − | 0.183291i | ||||
\(414\) | −39.2241 | + | 8.30879i | −1.92776 | + | 0.408355i | ||||
\(415\) | 3.84394 | + | 3.56665i | 0.188692 | + | 0.175080i | ||||
\(416\) | −9.15987 | + | 11.4861i | −0.449099 | + | 0.563153i | ||||
\(417\) | −4.77483 | + | 24.1971i | −0.233825 | + | 1.18494i | ||||
\(418\) | 0.711288 | − | 3.11635i | 0.0347902 | − | 0.152426i | ||||
\(419\) | 33.4846 | − | 10.3286i | 1.63583 | − | 0.504587i | 0.665507 | − | 0.746392i | \(-0.268215\pi\) |
0.970325 | + | 0.241804i | \(0.0777392\pi\) | |||||||
\(420\) | −1.94631 | + | 38.4900i | −0.0949702 | + | 1.87812i | ||||
\(421\) | −6.21320 | − | 1.91652i | −0.302813 | − | 0.0934054i | 0.139625 | − | 0.990204i | \(-0.455410\pi\) |
−0.442438 | + | 0.896799i | \(0.645886\pi\) | |||||||
\(422\) | −6.69534 | + | 11.5967i | −0.325924 | + | 0.564517i | ||||
\(423\) | −9.13537 | − | 19.7551i | −0.444177 | − | 0.960528i | ||||
\(424\) | 0.459731 | − | 0.426568i | 0.0223265 | − | 0.0207160i | ||||
\(425\) | −3.37873 | − | 45.0860i | −0.163892 | − | 2.18699i | ||||
\(426\) | −0.625434 | + | 3.16947i | −0.0303024 | + | 0.153561i | ||||
\(427\) | −8.67624 | + | 5.84830i | −0.419873 | + | 0.283019i | ||||
\(428\) | 7.02188 | − | 17.8914i | 0.339415 | − | 0.864816i | ||||
\(429\) | −8.29613 | − | 9.79432i | −0.400541 | − | 0.472874i | ||||
\(430\) | 44.4824 | + | 55.7791i | 2.14513 | + | 2.68991i | ||||
\(431\) | 1.62621 | + | 21.7002i | 0.0783316 | + | 1.04526i | 0.888443 | + | 0.458987i | \(0.151787\pi\) |
−0.810112 | + | 0.586276i | \(0.800594\pi\) | |||||||
\(432\) | −6.07587 | + | 20.7167i | −0.292325 | + | 0.996731i | ||||
\(433\) | −3.18137 | + | 1.53207i | −0.152887 | + | 0.0736266i | −0.508763 | − | 0.860907i | \(-0.669897\pi\) |
0.355876 | + | 0.934533i | \(0.384183\pi\) | |||||||
\(434\) | −16.4493 | − | 28.8427i | −0.789593 | − | 1.38450i | ||||
\(435\) | 11.2579 | + | 18.2321i | 0.539774 | + | 0.874162i | ||||
\(436\) | 9.23012 | − | 4.44499i | 0.442043 | − | 0.212877i | ||||
\(437\) | 2.00357 | + | 1.85905i | 0.0958440 | + | 0.0889302i | ||||
\(438\) | 8.60387 | + | 1.03769i | 0.411109 | + | 0.0495829i | ||||
\(439\) | 6.78196 | − | 17.2802i | 0.323686 | − | 0.824737i | −0.672710 | − | 0.739906i | \(-0.734870\pi\) |
0.996395 | − | 0.0848308i | \(-0.0270350\pi\) | |||||||
\(440\) | 2.79117 | 0.133064 | ||||||||
\(441\) | −18.4558 | + | 10.0191i | −0.878849 | + | 0.477099i | ||||
\(442\) | −11.7136 | −0.557157 | ||||||||
\(443\) | 7.42001 | − | 18.9059i | 0.352535 | − | 0.898245i | −0.639094 | − | 0.769128i | \(-0.720691\pi\) |
0.991629 | − | 0.129117i | \(-0.0412141\pi\) | |||||||
\(444\) | 11.7694 | − | 15.6885i | 0.558552 | − | 0.744542i | ||||
\(445\) | 35.9051 | + | 33.3150i | 1.70206 | + | 1.57928i | ||||
\(446\) | −34.0746 | + | 16.4095i | −1.61348 | + | 0.777010i | ||||
\(447\) | −0.855876 | + | 1.58916i | −0.0404816 | + | 0.0751646i | ||||
\(448\) | −14.3095 | + | 13.1369i | −0.676059 | + | 0.620661i | ||||
\(449\) | 10.3535 | − | 4.98598i | 0.488612 | − | 0.235303i | −0.173322 | − | 0.984865i | \(-0.555450\pi\) |
0.661934 | + | 0.749562i | \(0.269736\pi\) | |||||||
\(450\) | −81.9156 | − | 20.0510i | −3.86154 | − | 0.945212i | ||||
\(451\) | 1.35810 | + | 18.1226i | 0.0639504 | + | 0.853359i | ||||
\(452\) | −7.96616 | − | 9.98925i | −0.374697 | − | 0.469855i | ||||
\(453\) | 37.6186 | − | 6.81323i | 1.76747 | − | 0.320114i | ||||
\(454\) | −10.7052 | + | 27.2764i | −0.502421 | + | 1.28015i | ||||
\(455\) | 1.72361 | − | 21.4735i | 0.0808041 | − | 1.00669i | ||||
\(456\) | 0.106011 | − | 0.0361659i | 0.00496442 | − | 0.00169362i | ||||
\(457\) | −0.328846 | − | 4.38814i | −0.0153828 | − | 0.205269i | −0.999599 | − | 0.0283011i | \(-0.990990\pi\) |
0.984217 | − | 0.176968i | \(-0.0566288\pi\) | |||||||
\(458\) | −5.05797 | + | 4.69311i | −0.236344 | + | 0.219295i | ||||
\(459\) | −15.3156 | + | 6.25824i | −0.714870 | + | 0.292110i | ||||
\(460\) | 28.3871 | − | 49.1679i | 1.32355 | − | 2.29246i | ||||
\(461\) | −3.58063 | − | 1.10448i | −0.166767 | − | 0.0514407i | 0.210248 | − | 0.977648i | \(-0.432573\pi\) |
−0.377014 | + | 0.926208i | \(0.623049\pi\) | |||||||
\(462\) | −18.8453 | − | 30.8846i | −0.876765 | − | 1.43688i | ||||
\(463\) | 2.04444 | − | 0.630625i | 0.0950130 | − | 0.0293076i | −0.246884 | − | 0.969045i | \(-0.579407\pi\) |
0.341897 | + | 0.939737i | \(0.388931\pi\) | |||||||
\(464\) | −2.61034 | + | 11.4366i | −0.121182 | + | 0.530933i | ||||
\(465\) | 45.5335 | − | 15.5339i | 2.11157 | − | 0.720366i | ||||
\(466\) | 9.36215 | − | 11.7398i | 0.433693 | − | 0.543834i | ||||
\(467\) | 3.22986 | + | 2.99688i | 0.149460 | + | 0.138679i | 0.751359 | − | 0.659893i | \(-0.229399\pi\) |
−0.601899 | + | 0.798572i | \(0.705589\pi\) | |||||||
\(468\) | −3.31346 | + | 10.1737i | −0.153165 | + | 0.470278i | ||||
\(469\) | 1.55114 | − | 1.92407i | 0.0716248 | − | 0.0888454i | ||||
\(470\) | 60.1388 | + | 18.5504i | 2.77400 | + | 0.855665i | ||||
\(471\) | −8.33619 | − | 5.32945i | −0.384111 | − | 0.245568i | ||||
\(472\) | −0.262033 | + | 0.453854i | −0.0120610 | + | 0.0208903i | ||||
\(473\) | −31.3420 | − | 9.66774i | −1.44111 | − | 0.444523i | ||||
\(474\) | −9.97965 | − | 16.1620i | −0.458380 | − | 0.742345i | ||||
\(475\) | 2.10033 | + | 5.35155i | 0.0963697 | + | 0.245546i | ||||
\(476\) | −15.9752 | − | 2.49446i | −0.732222 | − | 0.114334i | ||||
\(477\) | 5.27622 | − | 10.5312i | 0.241581 | − | 0.482189i | ||||
\(478\) | −16.6127 | − | 5.12434i | −0.759847 | − | 0.234382i | ||||
\(479\) | 4.44221 | + | 5.57035i | 0.202970 | + | 0.254516i | 0.872890 | − | 0.487917i | \(-0.162243\pi\) |
−0.669920 | + | 0.742433i | \(0.733672\pi\) | |||||||
\(480\) | −31.5242 | − | 51.0533i | −1.43888 | − | 2.33026i | ||||
\(481\) | −6.83526 | + | 8.57115i | −0.311661 | + | 0.390811i | ||||
\(482\) | 24.7726 | + | 16.8897i | 1.12836 | + | 0.769303i | ||||
\(483\) | 30.9271 | − | 0.750941i | 1.40723 | − | 0.0341690i | ||||
\(484\) | 7.77717 | − | 5.30239i | 0.353508 | − | 0.241018i | ||||
\(485\) | 2.82837 | − | 37.7419i | 0.128430 | − | 1.71377i | ||||
\(486\) | 2.25265 | + | 30.7786i | 0.102182 | + | 1.39614i | ||||
\(487\) | −1.94034 | − | 1.32290i | −0.0879254 | − | 0.0599465i | 0.518559 | − | 0.855042i | \(-0.326469\pi\) |
−0.606485 | + | 0.795095i | \(0.707421\pi\) | |||||||
\(488\) | 0.230781 | − | 0.588021i | 0.0104470 | − | 0.0266184i | ||||
\(489\) | −20.9075 | − | 13.3664i | −0.945468 | − | 0.604452i | ||||
\(490\) | 14.1382 | − | 59.0536i | 0.638700 | − | 2.66777i | ||||
\(491\) | 13.4710 | + | 23.3324i | 0.607937 | + | 1.05298i | 0.991580 | + | 0.129496i | \(0.0413359\pi\) |
−0.383643 | + | 0.923481i | \(0.625331\pi\) | |||||||
\(492\) | 12.2590 | − | 8.90016i | 0.552678 | − | 0.401250i | ||||
\(493\) | −8.09956 | + | 3.90054i | −0.364786 | + | 0.175672i | ||||
\(494\) | 1.42326 | − | 0.439017i | 0.0640354 | − | 0.0197523i | ||||
\(495\) | 49.0932 | − | 18.3860i | 2.20658 | − | 0.826389i | ||||
\(496\) | 23.7300 | + | 11.4278i | 1.06551 | + | 0.513122i | ||||
\(497\) | 0.922949 | − | 2.31551i | 0.0413999 | − | 0.103865i | ||||
\(498\) | 1.61149 | + | 3.77391i | 0.0722126 | + | 0.169113i | ||||
\(499\) | −12.5539 | + | 15.7421i | −0.561989 | + | 0.704712i | −0.978924 | − | 0.204224i | \(-0.934533\pi\) |
0.416935 | + | 0.908936i | \(0.363104\pi\) | |||||||
\(500\) | 63.9245 | − | 43.5830i | 2.85879 | − | 1.94909i | ||||
\(501\) | −17.8132 | − | 7.93839i | −0.795836 | − | 0.354661i | ||||
\(502\) | −9.62890 | + | 8.93432i | −0.429759 | + | 0.398758i | ||||
\(503\) | −8.78222 | − | 11.0126i | −0.391580 | − | 0.491026i | 0.546493 | − | 0.837464i | \(-0.315963\pi\) |
−0.938073 | + | 0.346438i | \(0.887391\pi\) | |||||||
\(504\) | 0.573892 | − | 1.13048i | 0.0255632 | − | 0.0503557i | ||||
\(505\) | −7.48829 | + | 9.39001i | −0.333224 | + | 0.417850i | ||||
\(506\) | 3.98304 | + | 53.1500i | 0.177068 | + | 2.36280i | ||||
\(507\) | −5.58344 | + | 15.5646i | −0.247969 | + | 0.691249i | ||||
\(508\) | −17.0814 | + | 29.5859i | −0.757866 | + | 1.31266i | ||||
\(509\) | −24.8381 | −1.10093 | −0.550465 | − | 0.834858i | \(-0.685550\pi\) | ||||
−0.550465 | + | 0.834858i | \(0.685550\pi\) | |||||||
\(510\) | 16.1536 | − | 45.0305i | 0.715295 | − | 1.99399i | ||||
\(511\) | −6.37911 | − | 2.00475i | −0.282195 | − | 0.0886850i | ||||
\(512\) | 7.01410 | − | 30.7308i | 0.309982 | − | 1.35812i | ||||
\(513\) | 1.62637 | − | 1.33443i | 0.0718060 | − | 0.0589165i | ||||
\(514\) | −14.4256 | − | 2.17432i | −0.636288 | − | 0.0959050i | ||||
\(515\) | 40.7563 | − | 51.1068i | 1.79594 | − | 2.25204i | ||||
\(516\) | 6.86942 | + | 26.4640i | 0.302410 | + | 1.16501i | ||||
\(517\) | −27.6477 | + | 8.52820i | −1.21595 | + | 0.375070i | ||||
\(518\) | −22.7633 | + | 20.8980i | −1.00016 | + | 0.918207i | ||||
\(519\) | −20.1551 | − | 23.7949i | −0.884709 | − | 1.04448i | ||||
\(520\) | 0.650282 | + | 1.12632i | 0.0285168 | + | 0.0493925i | ||||
\(521\) | 14.0978 | + | 24.4182i | 0.617637 | + | 1.06978i | 0.989916 | + | 0.141658i | \(0.0452433\pi\) |
−0.372279 | + | 0.928121i | \(0.621423\pi\) | |||||||
\(522\) | 2.23933 | + | 16.6184i | 0.0980128 | + | 0.727368i | ||||
\(523\) | −1.38866 | + | 0.946775i | −0.0607220 | + | 0.0413996i | −0.593301 | − | 0.804981i | \(-0.702175\pi\) |
0.532579 | + | 0.846381i | \(0.321223\pi\) | |||||||
\(524\) | 1.48309 | + | 3.77885i | 0.0647890 | + | 0.165080i | ||||
\(525\) | 59.2947 | + | 26.8017i | 2.58783 | + | 1.16972i | ||||
\(526\) | −2.89954 | + | 7.38790i | −0.126426 | + | 0.322128i | ||||
\(527\) | 4.49143 | + | 19.6782i | 0.195650 | + | 0.857197i | ||||
\(528\) | 26.2141 | + | 11.6822i | 1.14082 | + | 0.508403i | ||||
\(529\) | −20.3383 | − | 9.79442i | −0.884275 | − | 0.425844i | ||||
\(530\) | 12.4433 | + | 31.7050i | 0.540502 | + | 1.37718i | ||||
\(531\) | −1.61921 | + | 9.70880i | −0.0702675 | + | 0.421326i | ||||
\(532\) | 2.03456 | − | 0.295651i | 0.0882095 | − | 0.0128181i | ||||
\(533\) | −6.99660 | + | 4.77020i | −0.303057 | + | 0.206620i | ||||
\(534\) | 15.0524 | + | 35.2509i | 0.651383 | + | 1.52546i | ||||
\(535\) | −32.1654 | − | 29.8451i | −1.39063 | − | 1.29032i | ||||
\(536\) | −0.0111502 | + | 0.148789i | −0.000481615 | + | 0.00642671i | ||||
\(537\) | 30.8660 | + | 13.7553i | 1.33197 | + | 0.593586i | ||||
\(538\) | 1.64465 | − | 2.84862i | 0.0709059 | − | 0.122813i | ||||
\(539\) | 9.92310 | + | 26.0929i | 0.427418 | + | 1.12390i | ||||
\(540\) | −34.5413 | − | 26.7680i | −1.48642 | − | 1.15191i | ||||
\(541\) | 41.9844 | − | 6.32813i | 1.80505 | − | 0.272068i | 0.841628 | − | 0.540057i | \(-0.181597\pi\) |
0.963422 | + | 0.267989i | \(0.0863592\pi\) | |||||||
\(542\) | 0.307328 | − | 0.148001i | 0.0132008 | − | 0.00635719i | ||||
\(543\) | 38.6480 | + | 10.6807i | 1.65854 | + | 0.458351i | ||||
\(544\) | 22.6803 | − | 10.9223i | 0.972411 | − | 0.468288i | ||||
\(545\) | −1.74780 | − | 23.3228i | −0.0748676 | − | 0.999039i | ||||
\(546\) | 8.07233 | − | 14.8001i | 0.345464 | − | 0.633387i | ||||
\(547\) | −2.37023 | + | 31.6285i | −0.101344 | + | 1.35234i | 0.682275 | + | 0.731095i | \(0.260991\pi\) |
−0.783619 | + | 0.621242i | \(0.786628\pi\) | |||||||
\(548\) | −13.9425 | − | 35.5249i | −0.595594 | − | 1.51755i | ||||
\(549\) | 0.185744 | − | 11.8628i | 0.00792738 | − | 0.506291i | ||||
\(550\) | −40.9577 | + | 104.359i | −1.74644 | + | 4.44986i | ||||
\(551\) | 0.837950 | − | 0.777504i | 0.0356979 | − | 0.0331228i | ||||
\(552\) | −1.51137 | + | 1.09727i | −0.0643280 | + | 0.0467028i | ||||
\(553\) | 5.28216 | + | 13.6711i | 0.224620 | + | 0.581356i | ||||
\(554\) | −60.5575 | − | 9.12757i | −2.57284 | − | 0.387793i | ||||
\(555\) | −23.5240 | − | 38.0970i | −0.998536 | − | 1.61713i | ||||
\(556\) | −6.08157 | − | 26.6451i | −0.257916 | − | 1.13000i | ||||
\(557\) | −2.13423 | − | 3.69659i | −0.0904300 | − | 0.156629i | 0.817262 | − | 0.576266i | \(-0.195491\pi\) |
−0.907692 | + | 0.419637i | \(0.862157\pi\) | |||||||
\(558\) | 37.4955 | + | 3.40099i | 1.58731 | + | 0.143975i | ||||
\(559\) | −3.40079 | − | 14.8998i | −0.143838 | − | 0.630196i | ||||
\(560\) | 17.3598 | + | 44.9301i | 0.733584 | + | 1.89864i | ||||
\(561\) | 5.52591 | + | 21.2882i | 0.233304 | + | 0.898788i | ||||
\(562\) | −7.88563 | + | 34.5492i | −0.332635 | + | 1.45737i | ||||
\(563\) | −9.09754 | − | 23.1802i | −0.383416 | − | 0.976927i | −0.984128 | − | 0.177462i | \(-0.943211\pi\) |
0.600712 | − | 0.799465i | \(-0.294884\pi\) | |||||||
\(564\) | 18.1573 | + | 15.8747i | 0.764560 | + | 0.668446i | ||||
\(565\) | −27.8729 | + | 8.59766i | −1.17262 | + | 0.361706i | ||||
\(566\) | 4.05490 | − | 17.7657i | 0.170440 | − | 0.746747i | ||||
\(567\) | 2.64734 | − | 23.6641i | 0.111178 | − | 0.993801i | ||||
\(568\) | 0.0334866 | + | 0.146714i | 0.00140506 | + | 0.00615599i | ||||
\(569\) | 17.0830 | + | 29.5886i | 0.716156 | + | 1.24042i | 0.962512 | + | 0.271240i | \(0.0874336\pi\) |
−0.246356 | + | 0.969180i | \(0.579233\pi\) | |||||||
\(570\) | −0.275034 | + | 6.07688i | −0.0115199 | + | 0.254532i | ||||
\(571\) | −23.1678 | − | 7.14631i | −0.969540 | − | 0.299064i | −0.230761 | − | 0.973011i | \(-0.574121\pi\) |
−0.738780 | + | 0.673947i | \(0.764598\pi\) | |||||||
\(572\) | 12.8149 | + | 6.17132i | 0.535817 | + | 0.258036i | ||||
\(573\) | 2.94063 | − | 14.9020i | 0.122847 | − | 0.622541i | ||||
\(574\) | −21.5598 | + | 10.2423i | −0.899887 | + | 0.427507i | ||||
\(575\) | −59.7672 | − | 74.9457i | −2.49247 | − | 3.12545i | ||||
\(576\) | −2.94144 | − | 21.8289i | −0.122560 | − | 0.909536i | ||||
\(577\) | 6.64600 | − | 16.9337i | 0.276676 | − | 0.704960i | −0.723221 | − | 0.690617i | \(-0.757339\pi\) |
0.999897 | − | 0.0143431i | \(-0.00456571\pi\) | |||||||
\(578\) | −12.2391 | − | 5.89404i | −0.509080 | − | 0.245160i | ||||
\(579\) | 31.5453 | − | 10.7618i | 1.31098 | − | 0.447244i | ||||
\(580\) | −19.6186 | − | 13.3758i | −0.814619 | − | 0.555398i | ||||
\(581\) | −0.688200 | − | 3.09055i | −0.0285514 | − | 0.128218i | ||||
\(582\) | 14.0443 | − | 26.0769i | 0.582154 | − | 1.08092i | ||||
\(583\) | −12.9374 | − | 8.82057i | −0.535813 | − | 0.365311i | ||||
\(584\) | 0.385755 | − | 0.118990i | 0.0159626 | − | 0.00492382i | ||||
\(585\) | 18.8570 | + | 15.5271i | 0.779640 | + | 0.641966i | ||||
\(586\) | 31.1056 | − | 4.68842i | 1.28496 | − | 0.193677i | ||||
\(587\) | 14.0726 | − | 24.3744i | 0.580838 | − | 1.00604i | −0.414542 | − | 0.910030i | \(-0.636058\pi\) |
0.995380 | − | 0.0960110i | \(-0.0306084\pi\) | |||||||
\(588\) | 14.1610 | − | 18.4657i | 0.583989 | − | 0.761513i | ||||
\(589\) | −1.28326 | − | 2.22267i | −0.0528758 | − | 0.0915836i | ||||
\(590\) | −17.7453 | − | 22.2518i | −0.730561 | − | 0.916094i | ||||
\(591\) | −4.89216 | − | 11.4568i | −0.201236 | − | 0.471270i | ||||
\(592\) | 5.45445 | − | 23.8975i | 0.224176 | − | 0.982181i | ||||
\(593\) | −3.35968 | + | 44.8318i | −0.137966 | + | 1.84102i | 0.314520 | + | 0.949251i | \(0.398156\pi\) |
−0.452486 | + | 0.891772i | \(0.649463\pi\) | |||||||
\(594\) | 40.9485 | + | 2.49622i | 1.68014 | + | 0.102421i | ||||
\(595\) | −18.6254 | + | 31.8692i | −0.763567 | + | 1.30651i | ||||
\(596\) | 0.149470 | − | 1.99454i | 0.00612253 | − | 0.0816994i | ||||
\(597\) | −7.07362 | + | 35.8465i | −0.289504 | + | 1.46710i | ||||
\(598\) | −20.5197 | + | 13.9901i | −0.839112 | + | 0.572097i | ||||
\(599\) | 41.8873 | − | 6.31349i | 1.71147 | − | 0.257962i | 0.781052 | − | 0.624466i | \(-0.214683\pi\) |
0.930417 | + | 0.366504i | \(0.119445\pi\) | |||||||
\(600\) | −3.86555 | + | 0.700104i | −0.157811 | + | 0.0285816i | ||||
\(601\) | 18.0078 | − | 2.71424i | 0.734553 | − | 0.110716i | 0.228896 | − | 0.973451i | \(-0.426488\pi\) |
0.505657 | + | 0.862735i | \(0.331250\pi\) | |||||||
\(602\) | −2.99174 | − | 42.9746i | −0.121934 | − | 1.75151i | ||||
\(603\) | 0.783986 | + | 2.69047i | 0.0319264 | + | 0.109564i | ||||
\(604\) | −35.0028 | + | 23.8645i | −1.42424 | + | 0.971033i | ||||
\(605\) | −4.78174 | − | 20.9502i | −0.194405 | − | 0.851746i | ||||
\(606\) | −8.34376 | + | 4.32659i | −0.338942 | + | 0.175756i | ||||
\(607\) | 10.4606 | 0.424582 | 0.212291 | − | 0.977206i | \(-0.431907\pi\) | ||||
0.212291 | + | 0.977206i | \(0.431907\pi\) | |||||||
\(608\) | −2.34642 | + | 2.17716i | −0.0951599 | + | 0.0882955i | ||||
\(609\) | 0.653415 | − | 12.9219i | 0.0264777 | − | 0.523621i | ||||
\(610\) | 25.1480 | + | 23.3340i | 1.01821 | + | 0.944764i | ||||
\(611\) | −9.88272 | − | 9.16982i | −0.399812 | − | 0.370971i | ||||
\(612\) | 12.6789 | − | 13.2427i | 0.512516 | − | 0.535303i | ||||
\(613\) | −1.38938 | − | 0.209416i | −0.0561167 | − | 0.00845823i | 0.120924 | − | 0.992662i | \(-0.461414\pi\) |
−0.177041 | + | 0.984204i | \(0.556652\pi\) | |||||||
\(614\) | −35.4332 | + | 10.9297i | −1.42997 | + | 0.441086i | ||||
\(615\) | −8.68945 | − | 33.4755i | −0.350392 | − | 1.34986i | ||||
\(616\) | −1.38745 | − | 0.956750i | −0.0559020 | − | 0.0385485i | ||||
\(617\) | −21.1178 | + | 19.5944i | −0.850169 | + | 0.788842i | −0.979221 | − | 0.202796i | \(-0.934997\pi\) |
0.129052 | + | 0.991638i | \(0.458807\pi\) | |||||||
\(618\) | 45.4124 | − | 23.5482i | 1.82676 | − | 0.947248i | ||||
\(619\) | −1.11345 | −0.0447535 | −0.0223767 | − | 0.999750i | \(-0.507123\pi\) | ||||
−0.0223767 | + | 0.999750i | \(0.507123\pi\) | |||||||
\(620\) | −39.0804 | + | 36.2613i | −1.56951 | + | 1.45629i | ||||
\(621\) | −19.3552 | + | 29.2553i | −0.776696 | + | 1.17397i | ||||
\(622\) | 3.57965 | − | 4.48874i | 0.143531 | − | 0.179982i | ||||
\(623\) | −6.42827 | − | 28.8679i | −0.257543 | − | 1.15657i | ||||
\(624\) | 1.39319 | + | 13.2999i | 0.0557724 | + | 0.532422i | ||||
\(625\) | −23.5050 | − | 102.982i | −0.940200 | − | 4.11928i | ||||
\(626\) | −21.4093 | + | 3.22693i | −0.855688 | + | 0.128974i | ||||
\(627\) | −1.46930 | − | 2.37952i | −0.0586781 | − | 0.0950289i | ||||
\(628\) | 10.8415 | + | 1.63409i | 0.432622 | + | 0.0652073i | ||||
\(629\) | 16.9245 | − | 8.15040i | 0.674823 | − | 0.324978i | ||||
\(630\) | 45.7641 | + | 51.4427i | 1.82328 | + | 2.04953i | ||||
\(631\) | −9.54472 | − | 4.59649i | −0.379969 | − | 0.182984i | 0.234143 | − | 0.972202i | \(-0.424772\pi\) |
−0.614112 | + | 0.789219i | \(0.710486\pi\) | |||||||
\(632\) | −0.731070 | − | 0.498435i | −0.0290804 | − | 0.0198267i | ||||
\(633\) | 2.94350 | + | 11.3396i | 0.116994 | + | 0.450710i | ||||
\(634\) | −2.51371 | + | 33.5431i | −0.0998321 | + | 1.33217i | ||||
\(635\) | 48.6276 | + | 60.9771i | 1.92973 | + | 2.41980i | ||||
\(636\) | −0.590138 | + | 13.0391i | −0.0234005 | + | 0.517035i | ||||
\(637\) | −8.21741 | + | 10.0834i | −0.325586 | + | 0.399517i | ||||
\(638\) | 22.2911 | 0.882513 | ||||||||
\(639\) | 1.55542 | + | 2.35994i | 0.0615316 | + | 0.0933578i | ||||
\(640\) | −4.62245 | − | 3.15153i | −0.182718 | − | 0.124575i | ||||
\(641\) | 5.20818 | − | 22.8185i | 0.205711 | − | 0.901278i | −0.761673 | − | 0.647962i | \(-0.775622\pi\) |
0.967384 | − | 0.253316i | \(-0.0815213\pi\) | |||||||
\(642\) | −13.4847 | − | 31.5793i | −0.532197 | − | 1.24634i | ||||
\(643\) | 0.673783 | + | 8.99101i | 0.0265714 | + | 0.354571i | 0.994604 | + | 0.103746i | \(0.0330828\pi\) |
−0.968032 | + | 0.250825i | \(0.919298\pi\) | |||||||
\(644\) | −30.9645 | + | 14.7102i | −1.22017 | + | 0.579663i | ||||
\(645\) | 61.9695 | + | 7.47400i | 2.44005 | + | 0.294289i | ||||
\(646\) | −2.52361 | − | 0.380373i | −0.0992900 | − | 0.0149656i | ||||
\(647\) | −1.05817 | − | 14.1203i | −0.0416009 | − | 0.555126i | −0.978597 | − | 0.205786i | \(-0.934025\pi\) |
0.936996 | − | 0.349340i | \(-0.113594\pi\) | |||||||
\(648\) | 0.679451 | + | 1.26686i | 0.0266914 | + | 0.0497669i | ||||
\(649\) | 12.5032 | + | 3.85673i | 0.490794 | + | 0.151390i | ||||
\(650\) | −51.6541 | + | 7.78561i | −2.02604 | + | 0.305377i | ||||
\(651\) | −27.9588 | − | 7.88620i | −1.09579 | − | 0.309085i | ||||
\(652\) | 27.1908 | + | 4.09836i | 1.06487 | + | 0.160504i | ||||
\(653\) | 11.7213 | + | 5.64466i | 0.458688 | + | 0.220893i | 0.648935 | − | 0.760844i | \(-0.275215\pi\) |
−0.190247 | + | 0.981736i | \(0.560929\pi\) | |||||||
\(654\) | 6.18007 | − | 17.2278i | 0.241660 | − | 0.673661i | ||||
\(655\) | 9.26761 | 0.362116 | ||||||||
\(656\) | 9.46686 | − | 16.3971i | 0.369619 | − | 0.640198i | ||||
\(657\) | 6.00115 | − | 4.63393i | 0.234127 | − | 0.180787i | ||||
\(658\) | −23.5355 | − | 29.8354i | −0.917510 | − | 1.16310i | ||||
\(659\) | −18.2031 | − | 16.8900i | −0.709093 | − | 0.657942i | 0.240780 | − | 0.970580i | \(-0.422597\pi\) |
−0.949872 | + | 0.312638i | \(0.898787\pi\) | |||||||
\(660\) | −41.3969 | + | 40.7538i | −1.61137 | + | 1.58634i | ||||
\(661\) | −13.6970 | − | 34.8995i | −0.532753 | − | 1.35743i | −0.903456 | − | 0.428681i | \(-0.858979\pi\) |
0.370703 | − | 0.928751i | \(-0.379117\pi\) | |||||||
\(662\) | −2.15386 | − | 5.48795i | −0.0837123 | − | 0.213295i | ||||
\(663\) | −7.30302 | + | 7.18956i | −0.283626 | + | 0.279219i | ||||
\(664\) | 0.140125 | + | 0.130017i | 0.00543789 | + | 0.00504562i | ||||
\(665\) | 1.06865 | − | 4.57035i | 0.0414403 | − | 0.177230i | ||||
\(666\) | −4.67920 | − | 34.7251i | −0.181315 | − | 1.34557i | ||||
\(667\) | −9.53011 | + | 16.5066i | −0.369007 | + | 0.639139i | ||||
\(668\) | 21.6105 | 0.836137 | ||||||||
\(669\) | −11.1726 | + | 31.1451i | −0.431956 | + | 1.20414i | ||||
\(670\) | −7.30070 | − | 3.51583i | −0.282051 | − | 0.135828i | ||||
\(671\) | −15.5954 | − | 2.35063i | −0.602053 | − | 0.0907449i | ||||
\(672\) | −1.82969 | + | 36.1837i | −0.0705817 | + | 1.39582i | ||||
\(673\) | −44.0800 | + | 6.64399i | −1.69916 | + | 0.256107i | −0.925842 | − | 0.377912i | \(-0.876642\pi\) |
−0.773318 | + | 0.634019i | \(0.781404\pi\) | |||||||
\(674\) | 61.7435 | + | 19.0454i | 2.37827 | + | 0.733600i | ||||
\(675\) | −63.3786 | + | 37.7772i | −2.43945 | + | 1.45404i | ||||
\(676\) | −1.36933 | − | 18.2724i | −0.0526664 | − | 0.702784i | ||||
\(677\) | 11.5487 | + | 1.74069i | 0.443852 | + | 0.0669000i | 0.367166 | − | 0.930155i | \(-0.380328\pi\) |
0.0766860 | + | 0.997055i | \(0.475566\pi\) | |||||||
\(678\) | −22.6622 | − | 2.73324i | −0.870338 | − | 0.104970i | ||||
\(679\) | −14.3430 | + | 17.7915i | −0.550435 | + | 0.682775i | ||||
\(680\) | −0.166536 | − | 2.22226i | −0.00638635 | − | 0.0852199i | ||||
\(681\) | 10.0674 | + | 23.5766i | 0.385785 | + | 0.903459i | ||||
\(682\) | 11.1369 | − | 48.7939i | 0.426454 | − | 1.86842i | ||||
\(683\) | −1.18760 | − | 0.809691i | −0.0454422 | − | 0.0309820i | 0.540386 | − | 0.841417i | \(-0.318278\pi\) |
−0.585828 | + | 0.810435i | \(0.699231\pi\) | |||||||
\(684\) | −1.04423 | + | 2.08425i | −0.0399272 | + | 0.0796934i | ||||
\(685\) | −87.1246 | −3.32886 | ||||||||
\(686\) | −27.2702 | + | 24.5085i | −1.04118 | + | 0.935737i | ||||
\(687\) | −0.272934 | + | 6.03049i | −0.0104131 | + | 0.230078i | ||||
\(688\) | 21.3055 | + | 26.7163i | 0.812266 | + | 1.01855i | ||||
\(689\) | 0.545234 | − | 7.27564i | 0.0207718 | − | 0.277180i | ||||
\(690\) | −25.4844 | − | 98.1771i | −0.970176 | − | 3.73754i | ||||
\(691\) | 28.5488 | + | 19.4642i | 1.08605 | + | 0.740454i | 0.967595 | − | 0.252506i | \(-0.0812547\pi\) |
0.118451 | + | 0.992960i | \(0.462207\pi\) | |||||||
\(692\) | 31.1332 | + | 14.9929i | 1.18351 | + | 0.569946i | ||||
\(693\) | −30.7059 | − | 7.68863i | −1.16642 | − | 0.292067i | ||||
\(694\) | −16.4542 | + | 7.92394i | −0.624594 | + | 0.300789i | ||||
\(695\) | −61.6972 | − | 9.29936i | −2.34031 | − | 0.352745i | ||||
\(696\) | 0.410388 | + | 0.664621i | 0.0155557 | + | 0.0251924i | ||||
\(697\) | 14.3477 | − | 2.16257i | 0.543459 | − | 0.0819133i | ||||
\(698\) | 0.915069 | + | 4.00918i | 0.0346359 | + | 0.151750i | ||||
\(699\) | −1.36866 | − | 13.0657i | −0.0517674 | − | 0.494189i | ||||
\(700\) | −72.1051 | − | 0.381832i | −2.72531 | − | 0.0144319i | ||||
\(701\) | −4.37244 | + | 5.48286i | −0.165145 | + | 0.207085i | −0.857517 | − | 0.514455i | \(-0.827994\pi\) |
0.692372 | + | 0.721540i | \(0.256566\pi\) | |||||||
\(702\) | 8.53281 | + | 17.1055i | 0.322050 | + | 0.645606i | ||||
\(703\) | −1.75094 | + | 1.62464i | −0.0660380 | + | 0.0612743i | ||||
\(704\) | −29.2801 | −1.10354 | ||||||||
\(705\) | 48.8805 | − | 25.3466i | 1.84094 | − | 0.954606i | ||||
\(706\) | 35.6641 | − | 33.0915i | 1.34224 | − | 1.24541i | ||||
\(707\) | 6.94101 | − | 2.10083i | 0.261043 | − | 0.0790098i | ||||
\(708\) | −2.74040 | − | 10.5572i | −0.102991 | − | 0.396765i | ||||
\(709\) | −12.3191 | + | 3.79995i | −0.462655 | + | 0.142710i | −0.517316 | − | 0.855795i | \(-0.673069\pi\) |
0.0546602 | + | 0.998505i | \(0.482592\pi\) | |||||||
\(710\) | −8.08144 | − | 1.21808i | −0.303291 | − | 0.0457138i | ||||
\(711\) | −16.1419 | − | 3.95116i | −0.605369 | − | 0.148180i | ||||
\(712\) | 1.30886 | + | 1.21445i | 0.0490517 | + | 0.0455133i | ||||
\(713\) | 31.3707 | + | 29.1078i | 1.17484 | + | 1.09009i | ||||
\(714\) | −23.4652 | + | 16.8470i | −0.878163 | + | 0.630481i | ||||
\(715\) | 23.8034 | − | 22.0863i | 0.890196 | − | 0.825981i | ||||
\(716\) | −37.4459 | −1.39942 | ||||||||
\(717\) | −13.5027 | + | 7.00171i | −0.504267 | + | 0.261484i | ||||
\(718\) | −0.905027 | − | 3.96518i | −0.0337753 | − | 0.147979i | ||||
\(719\) | −17.1123 | + | 11.6669i | −0.638180 | + | 0.435104i | −0.838706 | − | 0.544585i | \(-0.816687\pi\) |
0.200526 | + | 0.979688i | \(0.435735\pi\) | |||||||
\(720\) | −53.0503 | − | 12.9854i | −1.97707 | − | 0.483939i | ||||
\(721\) | −37.7777 | + | 11.4341i | −1.40691 | + | 0.425830i | ||||
\(722\) | −36.8738 | + | 5.55783i | −1.37230 | + | 0.206841i | ||||
\(723\) | 25.8115 | − | 4.67480i | 0.959938 | − | 0.173858i | ||||
\(724\) | −43.9356 | + | 6.62223i | −1.63285 | + | 0.246113i | ||||
\(725\) | −33.1247 | + | 22.5840i | −1.23022 | + | 0.838750i | ||||
\(726\) | 3.25563 | − | 16.4983i | 0.120828 | − | 0.612311i | ||||
\(727\) | 1.84663 | − | 24.6416i | 0.0684878 | − | 0.913906i | −0.852102 | − | 0.523375i | \(-0.824673\pi\) |
0.920590 | − | 0.390530i | \(-0.127708\pi\) | |||||||
\(728\) | 0.0628315 | − | 0.782781i | 0.00232869 | − | 0.0290118i | ||||
\(729\) | 20.2958 | + | 17.8068i | 0.751695 | + | 0.659511i | ||||
\(730\) | −1.63836 | + | 21.8625i | −0.0606386 | + | 0.809166i | ||||
\(731\) | −5.82720 | + | 25.5306i | −0.215527 | + | 0.944284i | ||||
\(732\) | 5.16288 | + | 12.0908i | 0.190825 | + | 0.446889i | ||||
\(733\) | −8.48560 | − | 10.6406i | −0.313423 | − | 0.393020i | 0.600021 | − | 0.799984i | \(-0.295159\pi\) |
−0.913444 | + | 0.406964i | \(0.866587\pi\) | |||||||
\(734\) | −30.9986 | − | 53.6911i | −1.14418 | − | 1.98177i | ||||
\(735\) | −27.4313 | − | 45.4958i | −1.01182 | − | 1.67814i | ||||
\(736\) | 26.6861 | − | 46.2217i | 0.983664 | − | 1.70376i | ||||
\(737\) | 3.68368 | − | 0.555225i | 0.135690 | − | 0.0204520i | ||||
\(738\) | 4.45231 | − | 26.6962i | 0.163892 | − | 0.982700i | ||||
\(739\) | −14.4821 | + | 4.46713i | −0.532732 | + | 0.164326i | −0.549438 | − | 0.835534i | \(-0.685158\pi\) |
0.0167064 | + | 0.999860i | \(0.494682\pi\) | |||||||
\(740\) | 40.9942 | + | 27.9494i | 1.50698 | + | 1.02744i | ||||
\(741\) | 0.617895 | − | 1.14728i | 0.0226989 | − | 0.0421465i | ||||
\(742\) | 4.68237 | − | 20.0254i | 0.171895 | − | 0.735155i | ||||
\(743\) | −3.42691 | − | 2.33643i | −0.125721 | − | 0.0857153i | 0.498827 | − | 0.866702i | \(-0.333764\pi\) |
−0.624548 | + | 0.780986i | \(0.714717\pi\) | |||||||
\(744\) | 1.65985 | − | 0.566262i | 0.0608531 | − | 0.0207602i | ||||
\(745\) | −4.11403 | − | 1.98121i | −0.150726 | − | 0.0725860i | ||||
\(746\) | −6.63199 | + | 16.8980i | −0.242814 | + | 0.618681i | ||||
\(747\) | 3.32107 | + | 1.36380i | 0.121511 | + | 0.0498990i | ||||
\(748\) | −15.1955 | − | 19.0545i | −0.555601 | − | 0.696702i | ||||
\(749\) | 5.75873 | + | 25.8612i | 0.210419 | + | 0.944946i | ||||
\(750\) | 26.7597 | − | 135.608i | 0.977124 | − | 4.95170i | ||||
\(751\) | 18.6863 | + | 8.99885i | 0.681873 | + | 0.328373i | 0.742556 | − | 0.669784i | \(-0.233613\pi\) |
−0.0606827 | + | 0.998157i | \(0.519328\pi\) | |||||||
\(752\) | 28.8044 | + | 8.88500i | 1.05039 | + | 0.324002i | ||||
\(753\) | −0.519587 | + | 11.4803i | −0.0189348 | + | 0.418365i | ||||
\(754\) | 5.19335 | + | 8.99514i | 0.189131 | + | 0.327584i | ||||
\(755\) | 21.5212 | + | 94.2907i | 0.783238 | + | 3.43159i | ||||
\(756\) | 7.99453 | + | 25.1460i | 0.290758 | + | 0.914552i | ||||
\(757\) | −1.63134 | + | 7.14735i | −0.0592919 | + | 0.259775i | −0.995883 | − | 0.0906498i | \(-0.971106\pi\) |
0.936591 | + | 0.350425i | \(0.113963\pi\) | |||||||
\(758\) | 57.3515 | − | 17.6906i | 2.08310 | − | 0.642552i | ||||
\(759\) | 35.1058 | + | 30.6926i | 1.27426 | + | 1.11407i | ||||
\(760\) | 0.103524 | + | 0.263775i | 0.00375521 | + | 0.00956813i | ||||
\(761\) | 6.22039 | − | 27.2533i | 0.225489 | − | 0.987932i | −0.727780 | − | 0.685810i | \(-0.759448\pi\) |
0.953269 | − | 0.302122i | \(-0.0976949\pi\) | |||||||
\(762\) | 15.3348 | + | 59.0763i | 0.555522 | + | 2.14011i | ||||
\(763\) | −7.12573 | + | 12.1926i | −0.257969 | + | 0.441400i | ||||
\(764\) | 3.74539 | + | 16.4096i | 0.135504 | + | 0.593680i | ||||
\(765\) | −17.5677 | − | 37.9899i | −0.635160 | − | 1.37353i | ||||
\(766\) | 13.6298 | + | 23.6076i | 0.492466 | + | 0.852976i | ||||
\(767\) | 1.35667 | + | 5.94396i | 0.0489865 | + | 0.214624i | ||||
\(768\) | −15.6627 | − | 25.3657i | −0.565179 | − | 0.915305i | ||||
\(769\) | 5.33230 | + | 0.803715i | 0.192288 | + | 0.0289827i | 0.244480 | − | 0.969654i | \(-0.421383\pi\) |
−0.0521923 | + | 0.998637i | \(0.516621\pi\) | |||||||
\(770\) | 75.8964 | − | 51.1587i | 2.73512 | − | 1.84363i | ||||
\(771\) | −10.3285 | + | 7.49858i | −0.371971 | + | 0.270055i | ||||
\(772\) | −27.0747 | + | 25.1216i | −0.974439 | + | 0.904147i | ||||
\(773\) | 7.08960 | − | 18.0640i | 0.254995 | − | 0.649717i | −0.744852 | − | 0.667230i | \(-0.767480\pi\) |
0.999847 | + | 0.0175134i | \(0.00557498\pi\) | |||||||
\(774\) | 41.9148 | + | 25.0826i | 1.50660 | + | 0.901574i | ||||
\(775\) | 32.8856 | + | 83.7912i | 1.18129 | + | 3.00987i | ||||
\(776\) | 0.103104 | − | 1.37582i | 0.00370120 | − | 0.0493891i | ||||
\(777\) | −1.36535 | + | 27.0010i | −0.0489816 | + | 0.968654i | ||||
\(778\) | −2.67154 | − | 35.6493i | −0.0957795 | − | 1.27809i | ||||
\(779\) | −1.66227 | + | 0.800509i | −0.0595572 | + | 0.0286812i | ||||
\(780\) | −26.0900 | − | 7.21016i | −0.934171 | − | 0.258165i | ||||
\(781\) | 3.38518 | − | 1.63022i | 0.121131 | − | 0.0583337i | ||||
\(782\) | 42.0791 | − | 6.34240i | 1.50475 | − | 0.226804i | ||||
\(783\) | 11.5962 | + | 8.98657i | 0.414415 | + | 0.321154i | ||||
\(784\) | 6.77173 | − | 28.2847i | 0.241847 | − | 1.01017i | ||||
\(785\) | 12.5151 | − | 21.6769i | 0.446685 | − | 0.773681i | ||||
\(786\) | 6.62446 | + | 2.95216i | 0.236287 | + | 0.105300i | ||||
\(787\) | 0.570969 | − | 7.61906i | 0.0203529 | − | 0.271590i | −0.977738 | − | 0.209829i | \(-0.932709\pi\) |
0.998091 | − | 0.0617611i | \(-0.0196717\pi\) | |||||||
\(788\) | 10.1194 | + | 9.38944i | 0.360489 | + | 0.334485i | ||||
\(789\) | 2.72679 | + | 6.38580i | 0.0970764 | + | 0.227340i | ||||
\(790\) | 39.7033 | − | 27.0692i | 1.41258 | − | 0.963080i | ||||
\(791\) | 16.8023 | + | 5.28044i | 0.597422 | + | 0.187751i | ||||
\(792\) | 1.78961 | − | 0.670232i | 0.0635912 | − | 0.0238156i | ||||
\(793\) | −2.68484 | − | 6.84086i | −0.0953414 | − | 0.242926i | ||||
\(794\) | 32.3676 | + | 15.5874i | 1.14868 | + | 0.553176i | ||||
\(795\) | 27.2179 | + | 12.1296i | 0.965320 | + | 0.430191i | ||||
\(796\) | −9.00946 | − | 39.4730i | −0.319332 | − | 1.39908i | ||||
\(797\) | 8.81057 | − | 22.4490i | 0.312086 | − | 0.795183i | −0.685650 | − | 0.727932i | \(-0.740482\pi\) |
0.997736 | − | 0.0672513i | \(-0.0214229\pi\) | |||||||
\(798\) | 2.21973 | − | 2.92646i | 0.0785777 | − | 0.103595i | ||||
\(799\) | 8.43956 | + | 21.5037i | 0.298570 | + | 0.760744i | ||||
\(800\) | 92.7554 | − | 63.2396i | 3.27940 | − | 2.23586i | ||||
\(801\) | 31.0211 | + | 12.7389i | 1.09608 | + | 0.450106i | ||||
\(802\) | −28.5039 | − | 49.3702i | −1.00651 | − | 1.74332i | ||||
\(803\) | −5.03953 | − | 8.72872i | −0.177841 | − | 0.308030i | ||||
\(804\) | −2.00709 | − | 2.36955i | −0.0707847 | − | 0.0835677i | ||||
\(805\) | 5.43520 | + | 78.0734i | 0.191566 | + | 2.75172i | ||||
\(806\) | 22.2845 | − | 6.87385i | 0.784938 | − | 0.242121i | ||||
\(807\) | −0.723044 | − | 2.78548i | −0.0254524 | − | 0.0980535i | ||||
\(808\) | −0.272973 | + | 0.342298i | −0.00960317 | + | 0.0120420i | ||||
\(809\) | 31.8853 | + | 4.80593i | 1.12103 | + | 0.168967i | 0.683298 | − | 0.730140i | \(-0.260545\pi\) |
0.437728 | + | 0.899107i | \(0.355783\pi\) | |||||||
\(810\) | −77.5262 | + | 9.21332i | −2.72399 | + | 0.323723i | ||||
\(811\) | 6.62806 | − | 29.0394i | 0.232743 | − | 1.01971i | −0.714611 | − | 0.699522i | \(-0.753396\pi\) |
0.947353 | − | 0.320190i | \(-0.103747\pi\) | |||||||
\(812\) | 5.16724 | + | 13.3737i | 0.181335 | + | 0.469326i | ||||
\(813\) | 0.100768 | − | 0.280906i | 0.00353410 | − | 0.00985180i | ||||
\(814\) | −46.5785 | −1.63257 | ||||||||
\(815\) | 31.3884 | − | 54.3663i | 1.09949 | − | 1.90437i | ||||
\(816\) | 7.73704 | − | 21.5681i | 0.270851 | − | 0.755034i | ||||
\(817\) | −0.248838 | − | 3.32051i | −0.00870572 | − | 0.116170i | ||||
\(818\) | −12.7917 | + | 16.0402i | −0.447250 | + | 0.560834i | ||||
\(819\) | −4.05121 | − | 14.1820i | −0.141561 | − | 0.495561i | ||||
\(820\) | 23.8947 | + | 29.9630i | 0.834440 | + | 1.04635i | ||||
\(821\) | −16.8800 | + | 15.6624i | −0.589117 | + | 0.546621i | −0.917404 | − | 0.397957i | \(-0.869719\pi\) |
0.328287 | + | 0.944578i | \(0.393529\pi\) | |||||||
\(822\) | −62.2764 | − | 27.7532i | −2.17214 | − | 0.968005i | ||||
\(823\) | 28.1997 | − | 19.2263i | 0.982981 | − | 0.670185i | 0.0386743 | − | 0.999252i | \(-0.487687\pi\) |
0.944307 | + | 0.329067i | \(0.106734\pi\) | |||||||
\(824\) | 1.48571 | − | 1.86302i | 0.0517571 | − | 0.0649013i | ||||
\(825\) | 38.5176 | + | 90.2032i | 1.34101 | + | 3.14047i | ||||
\(826\) | 1.19349 | + | 17.1438i | 0.0415268 | + | 0.596508i | ||||
\(827\) | 18.0482 | + | 8.69156i | 0.627598 | + | 0.302235i | 0.720516 | − | 0.693438i | \(-0.243905\pi\) |
−0.0929178 | + | 0.995674i | \(0.529619\pi\) | |||||||
\(828\) | 6.39448 | − | 38.3414i | 0.222223 | − | 1.33246i | ||||
\(829\) | 13.4506 | − | 4.14896i | 0.467158 | − | 0.144099i | −0.0522347 | − | 0.998635i | \(-0.516634\pi\) |
0.519393 | + | 0.854536i | \(0.326158\pi\) | |||||||
\(830\) | −9.35313 | + | 4.50423i | −0.324652 | + | 0.156344i | ||||
\(831\) | −43.3580 | + | 31.4783i | −1.50407 | + | 1.09197i | ||||
\(832\) | −6.82164 | − | 11.8154i | −0.236498 | − | 0.409626i | ||||
\(833\) | 20.1825 | − | 9.45737i | 0.699281 | − | 0.327679i | ||||
\(834\) | −41.1387 | − | 26.3006i | −1.42452 | − | 0.910715i | ||||
\(835\) | 18.0245 | − | 45.9257i | 0.623764 | − | 1.58932i | ||||
\(836\) | 2.56048 | + | 1.74571i | 0.0885561 | + | 0.0603765i | ||||
\(837\) | 25.4647 | − | 20.8936i | 0.880188 | − | 0.722190i | ||||
\(838\) | −5.18421 | + | 69.1785i | −0.179086 | + | 2.38973i | ||||
\(839\) | −30.7774 | + | 20.9837i | −1.06255 | + | 0.724437i | −0.962702 | − | 0.270565i | \(-0.912789\pi\) |
−0.0998522 | + | 0.995002i | \(0.531837\pi\) | |||||||
\(840\) | 2.92261 | + | 1.32104i | 0.100839 | + | 0.0455803i | ||||
\(841\) | −17.3746 | − | 11.8458i | −0.599123 | − | 0.408475i | ||||
\(842\) | 8.02576 | − | 10.0640i | 0.276586 | − | 0.346828i | ||||
\(843\) | 16.2892 | + | 26.3804i | 0.561031 | + | 0.908588i | ||||
\(844\) | −8.09420 | − | 10.1498i | −0.278614 | − | 0.349371i | ||||
\(845\) | −39.9737 | − | 12.3302i | −1.37514 | − | 0.424173i | ||||
\(846\) | 43.0137 | − | 2.54694i | 1.47884 | − | 0.0875657i | ||||
\(847\) | −4.80431 | + | 12.0531i | −0.165078 | + | 0.414150i | ||||
\(848\) | 5.95991 | + | 15.1856i | 0.204664 | + | 0.521476i | ||||
\(849\) | −8.37615 | − | 13.5651i | −0.287469 | − | 0.465555i | ||||
\(850\) | 85.5316 | + | 26.3830i | 2.93371 | + | 0.904929i | ||||
\(851\) | 19.9137 | − | 34.4915i | 0.682632 | − | 1.18235i | ||||
\(852\) | −2.63882 | − | 1.68704i | −0.0904046 | − | 0.0577970i | ||||
\(853\) | −18.9235 | − | 5.83713i | −0.647929 | − | 0.199860i | −0.0466656 | − | 0.998911i | \(-0.514860\pi\) |
−0.601263 | + | 0.799051i | \(0.705336\pi\) | |||||||
\(854\) | −4.50238 | − | 20.2192i | −0.154068 | − | 0.691886i | ||||
\(855\) | 3.55840 | + | 3.95755i | 0.121695 | + | 0.135345i | ||||
\(856\) | −1.17254 | − | 1.08795i | −0.0400765 | − | 0.0371855i | ||||
\(857\) | 0.976797 | − | 1.22486i | 0.0333668 | − | 0.0418406i | −0.764868 | − | 0.644187i | \(-0.777196\pi\) |
0.798235 | + | 0.602346i | \(0.205767\pi\) | |||||||
\(858\) | 24.0501 | − | 8.20474i | 0.821057 | − | 0.280105i | ||||
\(859\) | 8.77293 | − | 38.4367i | 0.299328 | − | 1.31144i | −0.571802 | − | 0.820392i | \(-0.693755\pi\) |
0.871130 | − | 0.491052i | \(-0.163387\pi\) | |||||||
\(860\) | −66.0943 | + | 20.3874i | −2.25380 | + | 0.695204i | ||||
\(861\) | −7.15524 | + | 19.6188i | −0.243850 | + | 0.668605i | ||||
\(862\) | −41.1670 | − | 12.6983i | −1.40215 | − | 0.432507i | ||||
\(863\) | −7.96167 | + | 13.7900i | −0.271018 | + | 0.469418i | −0.969123 | − | 0.246578i | \(-0.920694\pi\) |
0.698105 | + | 0.715996i | \(0.254027\pi\) | |||||||
\(864\) | −32.4716 | − | 25.1641i | −1.10471 | − | 0.856101i | ||||
\(865\) | 57.8292 | − | 53.6577i | 1.96625 | − | 1.82442i | ||||
\(866\) | −0.522403 | − | 6.97099i | −0.0177520 | − | 0.236884i | ||||
\(867\) | −11.2483 | + | 3.83740i | −0.382014 | + | 0.130325i | ||||
\(868\) | 31.8559 | − | 4.62912i | 1.08126 | − | 0.157123i | ||||
\(869\) | −8.07094 | + | 20.5644i | −0.273788 | + | 0.697600i | ||||
\(870\) | −41.7420 | + | 7.56005i | −1.41519 | + | 0.256310i | ||||
\(871\) | 1.08227 | + | 1.35712i | 0.0366712 | + | 0.0459843i | ||||
\(872\) | −0.0637133 | − | 0.850195i | −0.00215761 | − | 0.0287912i | ||||
\(873\) | −7.24935 | − | 24.8782i | −0.245353 | − | 0.841999i | ||||
\(874\) | −4.87513 | + | 2.34774i | −0.164904 | + | 0.0794134i | ||||
\(875\) | −39.4890 | + | 99.0706i | −1.33497 | + | 3.34920i | ||||
\(876\) | −3.98392 | + | 7.39718i | −0.134604 | + | 0.249928i | ||||
\(877\) | 14.0152 | − | 6.74935i | 0.473259 | − | 0.227909i | −0.182023 | − | 0.983294i | \(-0.558264\pi\) |
0.655281 | + | 0.755385i | \(0.272550\pi\) | |||||||
\(878\) | 26.9400 | + | 24.9966i | 0.909180 | + | 0.843596i | ||||
\(879\) | 16.5157 | − | 22.0151i | 0.557060 | − | 0.742552i | ||||
\(880\) | −26.5251 | + | 67.5848i | −0.894160 | + | 2.27828i | ||||
\(881\) | 26.8609 | 0.904966 | 0.452483 | − | 0.891773i | \(-0.350538\pi\) | ||||
0.452483 | + | 0.891773i | \(0.350538\pi\) | |||||||
\(882\) | −5.11528 | − | 41.2584i | −0.172241 | − | 1.38924i | ||||
\(883\) | 3.07378 | 0.103441 | 0.0517205 | − | 0.998662i | \(-0.483530\pi\) | ||||
0.0517205 | + | 0.998662i | \(0.483530\pi\) | |||||||
\(884\) | 4.14886 | − | 10.5711i | 0.139541 | − | 0.355545i | ||||
\(885\) | −24.7214 | − | 2.98159i | −0.830999 | − | 0.100225i | ||||
\(886\) | 29.4745 | + | 27.3483i | 0.990214 | + | 0.918784i | ||||
\(887\) | −27.6443 | + | 13.3128i | −0.928205 | + | 0.447000i | −0.835994 | − | 0.548739i | \(-0.815108\pi\) |
−0.0922118 | + | 0.995739i | \(0.529394\pi\) | |||||||
\(888\) | −0.857528 | − | 1.38876i | −0.0287767 | − | 0.0466038i | ||||
\(889\) | −3.27053 | − | 46.9793i | −0.109690 | − | 1.57563i | ||||
\(890\) | −87.3647 | + | 42.0726i | −2.92847 | + | 1.41028i | ||||
\(891\) | 27.0622 | − | 23.5771i | 0.906617 | − | 0.789863i | ||||
\(892\) | −2.74005 | − | 36.5634i | −0.0917435 | − | 1.22423i | ||||
\(893\) | −1.83140 | − | 2.29650i | −0.0612853 | − | 0.0768494i | ||||
\(894\) | −2.30959 | − | 2.72667i | −0.0772441 | − | 0.0911936i | ||||
\(895\) | −31.2322 | + | 79.5782i | −1.04398 | + | 2.66001i | ||||
\(896\) | 1.21748 | + | 3.15105i | 0.0406732 | + | 0.105269i | ||||
\(897\) | −4.20649 | + | 21.3170i | −0.140451 | + | 0.711752i | ||||
\(898\) | 1.70011 | + | 22.6864i | 0.0567335 | + | 0.757056i | ||||
\(899\) | 13.1201 | − | 12.1737i | 0.437579 | − | 0.406014i | ||||
\(900\) | 47.1093 | − | 66.8244i | 1.57031 | − | 2.22748i | ||||
\(901\) | −6.25082 | + | 10.8267i | −0.208245 | + | 0.360691i | ||||
\(902\) | −34.3799 | − | 10.6048i | −1.14473 | − | 0.353101i | ||||
\(903\) | −28.2423 | − | 24.9570i | −0.939844 | − | 0.830516i | ||||
\(904\) | −1.01606 | + | 0.313414i | −0.0337938 | + | 0.0104240i | ||||
\(905\) | −22.5717 | + | 98.8932i | −0.750309 | + | 3.28732i | ||||
\(906\) | −14.6526 | + | 74.2542i | −0.486801 | + | 2.46693i | ||||
\(907\) | 17.4728 | − | 21.9102i | 0.580176 | − | 0.727517i | −0.401967 | − | 0.915654i | \(-0.631673\pi\) |
0.982143 | + | 0.188137i | \(0.0602448\pi\) | |||||||
\(908\) | −20.8244 | − | 19.3223i | −0.691083 | − | 0.641232i | ||||
\(909\) | −2.54648 | + | 7.81873i | −0.0844615 | + | 0.259331i | ||||
\(910\) | 38.3263 | + | 18.7076i | 1.27050 | + | 0.620152i | ||||
\(911\) | −17.1508 | − | 5.29031i | −0.568230 | − | 0.175276i | −0.00268991 | − | 0.999996i | \(-0.500856\pi\) |
−0.565541 | + | 0.824721i | \(0.691332\pi\) | |||||||
\(912\) | −0.131732 | + | 2.91062i | −0.00436207 | + | 0.0963802i | ||||
\(913\) | 2.38628 | − | 4.13316i | 0.0789744 | − | 0.136788i | ||||
\(914\) | 8.32465 | + | 2.56781i | 0.275355 | + | 0.0849358i | ||||
\(915\) | 30.0009 | − | 0.887436i | 0.991800 | − | 0.0293377i | ||||
\(916\) | −2.44389 | − | 6.22693i | −0.0807485 | − | 0.205744i | ||||
\(917\) | −4.60680 | − | 3.17673i | −0.152130 | − | 0.104905i | ||||
\(918\) | −0.455768 | − | 32.7512i | −0.0150426 | − | 1.08095i | ||||
\(919\) | 0.242313 | + | 0.0747438i | 0.00799318 | + | 0.00246557i | 0.298749 | − | 0.954332i | \(-0.403431\pi\) |
−0.290756 | + | 0.956797i | \(0.593907\pi\) | |||||||
\(920\) | −2.94589 | − | 3.69403i | −0.0971232 | − | 0.121789i | ||||
\(921\) | −15.3830 | + | 28.5625i | −0.506886 | + | 0.941167i | ||||
\(922\) | 4.62520 | − | 5.79981i | 0.152323 | − | 0.191007i | ||||
\(923\) | 1.44652 | + | 0.986218i | 0.0476126 | + | 0.0324618i | ||||
\(924\) | 34.5473 | − | 6.06822i | 1.13652 | − | 0.199630i | ||||
\(925\) | 69.2158 | − | 47.1906i | 2.27580 | − | 1.55162i | ||||
\(926\) | −0.316527 | + | 4.22376i | −0.0104017 | + | 0.138801i | ||||
\(927\) | 13.8597 | − | 42.5549i | 0.455212 | − | 1.39768i | ||||
\(928\) | −18.4431 | − | 12.5743i | −0.605424 | − | 0.412771i | ||||
\(929\) | 14.1400 | − | 36.0283i | 0.463920 | − | 1.18205i | −0.487217 | − | 0.873281i | \(-0.661988\pi\) |
0.951137 | − | 0.308768i | \(-0.0999167\pi\) | |||||||
\(930\) | −4.30630 | + | 95.1479i | −0.141209 | + | 3.12002i | ||||
\(931\) | −2.09782 | + | 1.90555i | −0.0687533 | + | 0.0624518i | ||||
\(932\) | 7.27876 | + | 12.6072i | 0.238424 | + | 0.412962i | ||||
\(933\) | −0.523311 | − | 4.99570i | −0.0171324 | − | 0.163552i | ||||
\(934\) | −7.85895 | + | 3.78467i | −0.257153 | + | 0.123838i | ||||
\(935\) | −53.1676 | + | 16.4000i | −1.73877 | + | 0.536339i | ||||
\(936\) | 0.687401 | + | 0.566014i | 0.0224684 | + | 0.0185008i | ||||
\(937\) | −32.5246 | − | 15.6630i | −1.06253 | − | 0.511688i | −0.180839 | − | 0.983513i | \(-0.557881\pi\) |
−0.881693 | + | 0.471824i | \(0.843596\pi\) | |||||||
\(938\) | 2.42393 | + | 4.25019i | 0.0791441 | + | 0.138773i | ||||
\(939\) | −11.3674 | + | 15.1525i | −0.370960 | + | 0.494484i | ||||
\(940\) | −38.0419 | + | 47.7030i | −1.24079 | + | 1.55590i | ||||
\(941\) | 30.8666 | − | 21.0445i | 1.00622 | − | 0.686031i | 0.0562671 | − | 0.998416i | \(-0.482080\pi\) |
0.949956 | + | 0.312385i | \(0.101128\pi\) | |||||||
\(942\) | 15.8509 | − | 11.5079i | 0.516450 | − | 0.374948i | ||||
\(943\) | 22.5513 | − | 20.9246i | 0.734373 | − | 0.681398i | ||||
\(944\) | −8.49937 | − | 10.6579i | −0.276631 | − | 0.346884i | ||||
\(945\) | 60.1070 | + | 3.98371i | 1.95528 | + | 0.129590i | ||||
\(946\) | 40.4854 | − | 50.7670i | 1.31629 | − | 1.65058i | ||||
\(947\) | 2.09507 | + | 27.9568i | 0.0680807 | + | 0.908473i | 0.921782 | + | 0.387710i | \(0.126734\pi\) |
−0.853701 | + | 0.520764i | \(0.825647\pi\) | |||||||
\(948\) | 18.1204 | − | 3.28185i | 0.588524 | − | 0.106590i | ||||
\(949\) | 2.34820 | − | 4.06721i | 0.0762259 | − | 0.132027i | ||||
\(950\) | −11.3814 | −0.369260 | ||||||||
\(951\) | 19.0209 | + | 22.4559i | 0.616796 | + | 0.728182i | ||||
\(952\) | −0.678959 | + | 1.16174i | −0.0220052 | + | 0.0376522i | ||||
\(953\) | −9.84266 | + | 43.1235i | −0.318835 | + | 1.39691i | 0.520764 | + | 0.853701i | \(0.325647\pi\) |
−0.839599 | + | 0.543207i | \(0.817210\pi\) | |||||||
\(954\) | 15.5915 | + | 17.3403i | 0.504792 | + | 0.561414i | ||||
\(955\) | 37.9969 | + | 5.72710i | 1.22955 | + | 0.185325i | ||||
\(956\) | 10.5087 | − | 13.1774i | 0.339874 | − | 0.426189i | ||||
\(957\) | 13.8978 | − | 13.6819i | 0.449251 | − | 0.442272i | ||||
\(958\) | −13.4784 | + | 4.15754i | −0.435467 | + | 0.134324i | ||||
\(959\) | 43.3085 | + | 29.8644i | 1.39850 | + | 0.964371i | ||||
\(960\) | 54.8296 | − | 9.93039i | 1.76962 | − | 0.320502i | ||||
\(961\) | −4.59248 | − | 7.95442i | −0.148145 | − | 0.256594i | ||||
\(962\) | −10.8518 | − | 18.7958i | −0.349875 | − | 0.606002i | ||||
\(963\) | −27.7901 | − | 11.4121i | −0.895522 | − | 0.367748i | ||||
\(964\) | −24.0167 | + | 16.3743i | −0.773525 | + | 0.527380i | ||||
\(965\) | 30.8053 | + | 78.4907i | 0.991659 | + | 2.52671i | ||||
\(966\) | −20.9849 | + | 57.5380i | −0.675179 | + | 1.85125i | ||||
\(967\) | −13.4469 | + | 34.2621i | −0.432422 | + | 1.10179i | 0.534148 | + | 0.845391i | \(0.320633\pi\) |
−0.966570 | + | 0.256403i | \(0.917463\pi\) | |||||||
\(968\) | −0.174311 | − | 0.763705i | −0.00560256 | − | 0.0245464i | ||||
\(969\) | −1.80685 | + | 1.31179i | −0.0580445 | + | 0.0421409i | ||||
\(970\) | 67.5080 | + | 32.5101i | 2.16755 | + | 1.04384i | ||||
\(971\) | −0.193630 | − | 0.493361i | −0.00621387 | − | 0.0158327i | 0.927733 | − | 0.373244i | \(-0.121755\pi\) |
−0.933947 | + | 0.357411i | \(0.883659\pi\) | |||||||
\(972\) | −28.5746 | − | 8.86861i | −0.916530 | − | 0.284461i | ||||
\(973\) | 27.4812 | + | 25.7710i | 0.881008 | + | 0.826181i | ||||
\(974\) | 3.84135 | − | 2.61899i | 0.123085 | − | 0.0839178i | ||||
\(975\) | −27.4260 | + | 36.5584i | −0.878335 | + | 1.17081i | ||||
\(976\) | 12.0450 | + | 11.1762i | 0.385553 | + | 0.357741i | ||||
\(977\) | 2.46407 | − | 32.8808i | 0.0788327 | − | 1.05195i | −0.807794 | − | 0.589464i | \(-0.799339\pi\) |
0.886627 | − | 0.462485i | \(-0.153042\pi\) | |||||||
\(978\) | 39.7545 | − | 28.8622i | 1.27121 | − | 0.922912i | ||||
\(979\) | 22.2895 | − | 38.6066i | 0.712377 | − | 1.23387i | ||||
\(980\) | 48.2864 | + | 33.6757i | 1.54245 | + | 1.07573i | ||||
\(981\) | −6.72105 | − | 14.5342i | −0.214587 | − | 0.464041i | ||||
\(982\) | −52.7420 | + | 7.94957i | −1.68306 | + | 0.253681i | ||||
\(983\) | 18.6755 | − | 8.99363i | 0.595655 | − | 0.286852i | −0.111665 | − | 0.993746i | \(-0.535618\pi\) |
0.707320 | + | 0.706894i | \(0.249904\pi\) | |||||||
\(984\) | −0.316760 | − | 1.22030i | −0.0100979 | − | 0.0389016i | ||||
\(985\) | 28.3942 | − | 13.6739i | 0.904714 | − | 0.435687i | ||||
\(986\) | −1.33000 | − | 17.7477i | −0.0423559 | − | 0.565200i | ||||
\(987\) | −32.9860 | − | 4.15570i | −1.04996 | − | 0.132277i | ||||
\(988\) | −0.107909 | + | 1.43994i | −0.00343304 | + | 0.0458107i | ||||
\(989\) | 20.2845 | + | 51.6840i | 0.645008 | + | 1.64345i | ||||
\(990\) | −1.62482 | + | 103.771i | −0.0516402 | + | 3.29805i | ||||
\(991\) | 13.8349 | − | 35.2506i | 0.439479 | − | 1.11977i | −0.523936 | − | 0.851758i | \(-0.675537\pi\) |
0.963415 | − | 0.268015i | \(-0.0863678\pi\) | |||||||
\(992\) | −36.7388 | + | 34.0886i | −1.16646 | + | 1.08231i | ||||
\(993\) | −4.71127 | − | 2.09956i | −0.149508 | − | 0.0666275i | ||||
\(994\) | 3.59964 | + | 3.37563i | 0.114174 | + | 0.107068i | ||||
\(995\) | −91.4006 | − | 13.7764i | −2.89759 | − | 0.436742i | ||||
\(996\) | −3.97661 | + | 0.117629i | −0.126004 | + | 0.00372723i | ||||
\(997\) | −7.42973 | − | 32.5518i | −0.235302 | − | 1.03092i | −0.945167 | − | 0.326587i | \(-0.894101\pi\) |
0.709865 | − | 0.704338i | \(-0.248756\pi\) | |||||||
\(998\) | −19.9308 | − | 34.5211i | −0.630897 | − | 1.09275i | ||||
\(999\) | −24.2309 | − | 18.7779i | −0.766633 | − | 0.594107i |
(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 | 441.2.z.a.142.10 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.10 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.10 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.10 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.10 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.10 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.10 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.10 | yes | 648 | 441.382 | even | 21 | inner |