Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 31.8 | ||
Character | \(\chi\) | \(=\) | 81.31 |
Dual form | 81.2.g.a.34.8 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{10}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.879323 | + | 2.03850i | 0.621775 | + | 1.44144i | 0.879821 | + | 0.475304i | \(0.157662\pi\) |
−0.258046 | + | 0.966133i | \(0.583079\pi\) | |||||||
\(3\) | 0.875274 | − | 1.49462i | 0.505340 | − | 0.862921i | ||||
\(4\) | −2.00979 | + | 2.13025i | −1.00489 | + | 1.06513i | ||||
\(5\) | 0.0265118 | − | 0.455190i | 0.0118564 | − | 0.203567i | −0.987178 | − | 0.159625i | \(-0.948971\pi\) |
0.999034 | − | 0.0439418i | \(-0.0139916\pi\) | |||||||
\(6\) | 3.81644 | + | 0.469990i | 1.55805 | + | 0.191873i | ||||
\(7\) | −3.62978 | + | 0.860273i | −1.37193 | + | 0.325152i | −0.849525 | − | 0.527548i | \(-0.823112\pi\) |
−0.522401 | + | 0.852700i | \(0.674963\pi\) | |||||||
\(8\) | −1.93741 | − | 0.705161i | −0.684979 | − | 0.249312i | ||||
\(9\) | −1.46779 | − | 2.61641i | −0.489264 | − | 0.872136i | ||||
\(10\) | 0.951217 | − | 0.346215i | 0.300801 | − | 0.109483i | ||||
\(11\) | 2.35408 | − | 1.54830i | 0.709782 | − | 0.466831i | −0.142580 | − | 0.989783i | \(-0.545540\pi\) |
0.852362 | + | 0.522953i | \(0.175170\pi\) | |||||||
\(12\) | 1.42481 | + | 4.86843i | 0.411306 | + | 1.40539i | ||||
\(13\) | −5.39682 | + | 0.630798i | −1.49681 | + | 0.174952i | −0.824729 | − | 0.565528i | \(-0.808672\pi\) |
−0.672079 | + | 0.740480i | \(0.734598\pi\) | |||||||
\(14\) | −4.94541 | − | 6.64284i | −1.32172 | − | 1.77537i | ||||
\(15\) | −0.657132 | − | 0.438041i | −0.169671 | − | 0.113102i | ||||
\(16\) | 0.0744345 | + | 1.27799i | 0.0186086 | + | 0.319498i | ||||
\(17\) | 1.14144 | + | 0.957783i | 0.276840 | + | 0.232297i | 0.770627 | − | 0.637286i | \(-0.219943\pi\) |
−0.493787 | + | 0.869583i | \(0.664388\pi\) | |||||||
\(18\) | 4.04288 | − | 5.29276i | 0.952917 | − | 1.24752i | ||||
\(19\) | 3.28057 | − | 2.75273i | 0.752615 | − | 0.631519i | −0.183578 | − | 0.983005i | \(-0.558768\pi\) |
0.936193 | + | 0.351486i | \(0.114324\pi\) | |||||||
\(20\) | 0.916386 | + | 0.971313i | 0.204910 | + | 0.217192i | ||||
\(21\) | −1.89127 | + | 6.17812i | −0.412708 | + | 1.34818i | ||||
\(22\) | 5.22621 | + | 3.43733i | 1.11423 | + | 0.732842i | ||||
\(23\) | 4.73445 | + | 1.12209i | 0.987201 | + | 0.233971i | 0.692342 | − | 0.721570i | \(-0.256579\pi\) |
0.294859 | + | 0.955541i | \(0.404727\pi\) | |||||||
\(24\) | −2.74972 | + | 2.27849i | −0.561283 | + | 0.465095i | ||||
\(25\) | 4.75970 | + | 0.556329i | 0.951939 | + | 0.111266i | ||||
\(26\) | −6.03143 | − | 10.4467i | −1.18286 | − | 2.04877i | ||||
\(27\) | −5.19526 | − | 0.0962810i | −0.999828 | − | 0.0185293i | ||||
\(28\) | 5.46248 | − | 9.46130i | 1.03231 | − | 1.78802i | ||||
\(29\) | −2.29143 | + | 3.07793i | −0.425508 | + | 0.571557i | −0.962242 | − | 0.272195i | \(-0.912251\pi\) |
0.536734 | + | 0.843752i | \(0.319658\pi\) | |||||||
\(30\) | 0.315115 | − | 1.72474i | 0.0575320 | − | 0.314894i | ||||
\(31\) | −1.07026 | − | 3.57491i | −0.192224 | − | 0.642073i | −0.998708 | − | 0.0508170i | \(-0.983817\pi\) |
0.806484 | − | 0.591256i | \(-0.201368\pi\) | |||||||
\(32\) | −6.22463 | + | 3.12613i | −1.10037 | + | 0.552626i | ||||
\(33\) | −0.253663 | − | 4.87365i | −0.0441570 | − | 0.848393i | ||||
\(34\) | −0.948745 | + | 3.16903i | −0.162708 | + | 0.543484i | ||||
\(35\) | 0.295356 | + | 1.67505i | 0.0499242 | + | 0.283134i | ||||
\(36\) | 8.52356 | + | 2.13166i | 1.42059 | + | 0.355277i | ||||
\(37\) | −1.40933 | + | 7.99268i | −0.231692 | + | 1.31399i | 0.617779 | + | 0.786352i | \(0.288033\pi\) |
−0.849470 | + | 0.527636i | \(0.823078\pi\) | |||||||
\(38\) | 8.49611 | + | 4.26691i | 1.37825 | + | 0.692184i | ||||
\(39\) | −3.78089 | + | 8.61832i | −0.605427 | + | 1.38004i | ||||
\(40\) | −0.372346 | + | 0.863196i | −0.0588731 | + | 0.136483i | ||||
\(41\) | −2.06761 | + | 4.79327i | −0.322907 | + | 0.748583i | 0.677013 | + | 0.735971i | \(0.263274\pi\) |
−0.999920 | + | 0.0126122i | \(0.995985\pi\) | |||||||
\(42\) | −14.2571 | + | 1.57722i | −2.19992 | + | 0.243370i | ||||
\(43\) | −7.86712 | − | 3.95102i | −1.19973 | − | 0.602525i | −0.267204 | − | 0.963640i | \(-0.586100\pi\) |
−0.932521 | + | 0.361115i | \(0.882396\pi\) | |||||||
\(44\) | −1.43293 | + | 8.12654i | −0.216022 | + | 1.22512i | ||||
\(45\) | −1.22988 | + | 0.598758i | −0.183339 | + | 0.0892576i | ||||
\(46\) | 1.87574 | + | 10.6378i | 0.276563 | + | 1.56847i | ||||
\(47\) | 2.95871 | − | 9.88278i | 0.431572 | − | 1.44155i | −0.415265 | − | 0.909700i | \(-0.636311\pi\) |
0.846838 | − | 0.531851i | \(-0.178504\pi\) | |||||||
\(48\) | 1.97526 | + | 1.00734i | 0.285105 | + | 0.145397i | ||||
\(49\) | 6.17977 | − | 3.10360i | 0.882824 | − | 0.443371i | ||||
\(50\) | 3.05123 | + | 10.1918i | 0.431510 | + | 1.44134i | ||||
\(51\) | 2.43060 | − | 0.867701i | 0.340352 | − | 0.121502i | ||||
\(52\) | 9.50271 | − | 12.7644i | 1.31779 | − | 1.77010i | ||||
\(53\) | 0.641541 | − | 1.11118i | 0.0881224 | − | 0.152632i | −0.818595 | − | 0.574371i | \(-0.805247\pi\) |
0.906717 | + | 0.421739i | \(0.138580\pi\) | |||||||
\(54\) | −4.37204 | − | 10.6752i | −0.594960 | − | 1.45271i | ||||
\(55\) | −0.642361 | − | 1.11260i | −0.0866159 | − | 0.150023i | ||||
\(56\) | 7.63900 | + | 0.892872i | 1.02080 | + | 0.119315i | ||||
\(57\) | −1.24289 | − | 7.31260i | −0.164624 | − | 0.968578i | ||||
\(58\) | −8.28927 | − | 1.96459i | −1.08843 | − | 0.257964i | ||||
\(59\) | 8.41522 | + | 5.53478i | 1.09557 | + | 0.720567i | 0.962701 | − | 0.270567i | \(-0.0872111\pi\) |
0.132868 | + | 0.991134i | \(0.457581\pi\) | |||||||
\(60\) | 2.25383 | − | 0.519487i | 0.290969 | − | 0.0670654i | ||||
\(61\) | −3.89828 | − | 4.13193i | −0.499123 | − | 0.529040i | 0.428009 | − | 0.903775i | \(-0.359215\pi\) |
−0.927132 | + | 0.374735i | \(0.877734\pi\) | |||||||
\(62\) | 6.34635 | − | 5.32522i | 0.805988 | − | 0.676304i | ||||
\(63\) | 7.57857 | + | 8.23427i | 0.954811 | + | 1.03742i | ||||
\(64\) | −9.88475 | − | 8.29429i | −1.23559 | − | 1.03679i | ||||
\(65\) | 0.144053 | + | 2.47330i | 0.0178676 | + | 0.306775i | ||||
\(66\) | 9.71188 | − | 4.80260i | 1.19545 | − | 0.591159i | ||||
\(67\) | 2.04313 | + | 2.74440i | 0.249608 | + | 0.335282i | 0.909213 | − | 0.416330i | \(-0.136684\pi\) |
−0.659605 | + | 0.751612i | \(0.729277\pi\) | |||||||
\(68\) | −4.33438 | + | 0.506616i | −0.525620 | + | 0.0614362i | ||||
\(69\) | 5.82103 | − | 6.09408i | 0.700770 | − | 0.733641i | ||||
\(70\) | −3.15487 | + | 2.07499i | −0.377079 | + | 0.248009i | ||||
\(71\) | 8.71690 | − | 3.17269i | 1.03451 | − | 0.376529i | 0.231711 | − | 0.972785i | \(-0.425568\pi\) |
0.802795 | + | 0.596255i | \(0.203345\pi\) | |||||||
\(72\) | 0.998729 | + | 6.10409i | 0.117701 | + | 0.719374i | ||||
\(73\) | 0.970701 | + | 0.353306i | 0.113612 | + | 0.0413514i | 0.398201 | − | 0.917298i | \(-0.369635\pi\) |
−0.284589 | + | 0.958650i | \(0.591857\pi\) | |||||||
\(74\) | −17.5323 | + | 4.15524i | −2.03809 | + | 0.483037i | ||||
\(75\) | 4.99754 | − | 6.62701i | 0.577066 | − | 0.765221i | ||||
\(76\) | −0.729256 | + | 12.5208i | −0.0836514 | + | 1.43624i | ||||
\(77\) | −7.21282 | + | 7.64514i | −0.821977 | + | 0.871244i | ||||
\(78\) | −20.8931 | − | 0.129054i | −2.36567 | − | 0.0146124i | ||||
\(79\) | −1.44822 | − | 3.35736i | −0.162938 | − | 0.377733i | 0.817113 | − | 0.576477i | \(-0.195573\pi\) |
−0.980051 | + | 0.198744i | \(0.936314\pi\) | |||||||
\(80\) | 0.583702 | 0.0652599 | ||||||||
\(81\) | −4.69118 | + | 7.68068i | −0.521242 | + | 0.853409i | ||||
\(82\) | −11.5892 | −1.27981 | ||||||||
\(83\) | −0.740777 | − | 1.71731i | −0.0813108 | − | 0.188500i | 0.872711 | − | 0.488238i | \(-0.162360\pi\) |
−0.954022 | + | 0.299738i | \(0.903101\pi\) | |||||||
\(84\) | −9.35990 | − | 16.4456i | −1.02125 | − | 1.79436i | ||||
\(85\) | 0.466235 | − | 0.494180i | 0.0505703 | − | 0.0536014i | ||||
\(86\) | 1.13641 | − | 19.5113i | 0.122542 | − | 2.10396i | ||||
\(87\) | 2.59471 | + | 6.11886i | 0.278182 | + | 0.656010i | ||||
\(88\) | −5.65262 | + | 1.33970i | −0.602572 | + | 0.142812i | ||||
\(89\) | −0.0783731 | − | 0.0285255i | −0.00830753 | − | 0.00302369i | 0.337863 | − | 0.941195i | \(-0.390296\pi\) |
−0.346171 | + | 0.938172i | \(0.612518\pi\) | |||||||
\(90\) | −2.30203 | − | 1.98060i | −0.242655 | − | 0.208774i | ||||
\(91\) | 19.0466 | − | 6.93239i | 1.99662 | − | 0.726712i | ||||
\(92\) | −11.9056 | + | 7.83042i | −1.24124 | + | 0.816377i | ||||
\(93\) | −6.27991 | − | 1.52940i | −0.651196 | − | 0.158591i | ||||
\(94\) | 22.7477 | − | 2.65883i | 2.34625 | − | 0.274237i | ||||
\(95\) | −1.16604 | − | 1.56626i | −0.119633 | − | 0.160695i | ||||
\(96\) | −0.775878 | + | 12.0397i | −0.0791877 | + | 1.22880i | ||||
\(97\) | −0.0857593 | − | 1.47243i | −0.00870754 | − | 0.149503i | −0.999859 | − | 0.0167697i | \(-0.994662\pi\) |
0.991152 | − | 0.132733i | \(-0.0423753\pi\) | |||||||
\(98\) | 11.7607 | + | 9.86840i | 1.18801 | + | 0.996859i | ||||
\(99\) | −7.50629 | − | 3.88665i | −0.754410 | − | 0.390623i | ||||
\(100\) | −10.7511 | + | 9.02125i | −1.07511 | + | 0.902125i | ||||
\(101\) | −11.7719 | − | 12.4775i | −1.17135 | − | 1.24156i | −0.964761 | − | 0.263129i | \(-0.915246\pi\) |
−0.206588 | − | 0.978428i | \(-0.566236\pi\) | |||||||
\(102\) | 3.90609 | + | 4.19179i | 0.386761 | + | 0.415049i | ||||
\(103\) | 3.50411 | + | 2.30469i | 0.345270 | + | 0.227088i | 0.710285 | − | 0.703914i | \(-0.248566\pi\) |
−0.365015 | + | 0.931001i | \(0.618936\pi\) | |||||||
\(104\) | 10.9007 | + | 2.58351i | 1.06890 | + | 0.253334i | ||||
\(105\) | 2.76208 | + | 1.02468i | 0.269551 | + | 0.0999984i | ||||
\(106\) | 2.82926 | + | 0.330694i | 0.274802 | + | 0.0321198i | ||||
\(107\) | 0.805762 | + | 1.39562i | 0.0778959 | + | 0.134920i | 0.902342 | − | 0.431021i | \(-0.141846\pi\) |
−0.824446 | + | 0.565941i | \(0.808513\pi\) | |||||||
\(108\) | 10.6465 | − | 10.8737i | 1.02446 | − | 1.04632i | ||||
\(109\) | 3.83012 | − | 6.63396i | 0.366859 | − | 0.635418i | −0.622214 | − | 0.782847i | \(-0.713767\pi\) |
0.989073 | + | 0.147429i | \(0.0470999\pi\) | |||||||
\(110\) | 1.70320 | − | 2.28779i | 0.162393 | − | 0.218132i | ||||
\(111\) | 10.7125 | + | 9.10219i | 1.01678 | + | 0.863942i | ||||
\(112\) | −1.36960 | − | 4.57478i | −0.129415 | − | 0.432276i | ||||
\(113\) | −11.1020 | + | 5.57563i | −1.04439 | + | 0.524511i | −0.886395 | − | 0.462929i | \(-0.846798\pi\) |
−0.157992 | + | 0.987440i | \(0.550502\pi\) | |||||||
\(114\) | 13.8138 | − | 8.96376i | 1.29378 | − | 0.839533i | ||||
\(115\) | 0.636281 | − | 2.12533i | 0.0593335 | − | 0.198188i | ||||
\(116\) | −1.95147 | − | 11.0673i | −0.181189 | − | 1.02757i | ||||
\(117\) | 9.57182 | + | 13.1944i | 0.884915 | + | 1.21982i | ||||
\(118\) | −3.88295 | + | 22.0213i | −0.357454 | + | 2.02722i | ||||
\(119\) | −4.96713 | − | 2.49459i | −0.455336 | − | 0.228678i | ||||
\(120\) | 0.964247 | + | 1.31205i | 0.0880233 | + | 0.119773i | ||||
\(121\) | −1.21243 | + | 2.81073i | −0.110221 | + | 0.255521i | ||||
\(122\) | 4.99510 | − | 11.5799i | 0.452235 | − | 1.04840i | ||||
\(123\) | 5.35440 | + | 7.28573i | 0.482790 | + | 0.656932i | ||||
\(124\) | 9.76645 | + | 4.90490i | 0.877053 | + | 0.440473i | ||||
\(125\) | 0.775308 | − | 4.39699i | 0.0693456 | − | 0.393279i | ||||
\(126\) | −10.1215 | + | 22.6895i | −0.901699 | + | 2.02134i | ||||
\(127\) | 1.10479 | + | 6.26558i | 0.0980344 | + | 0.555981i | 0.993775 | + | 0.111404i | \(0.0355348\pi\) |
−0.895741 | + | 0.444577i | \(0.853354\pi\) | |||||||
\(128\) | 4.22055 | − | 14.0976i | 0.373047 | − | 1.24606i | ||||
\(129\) | −12.7912 | + | 8.30015i | −1.12620 | + | 0.730788i | ||||
\(130\) | −4.91516 | + | 2.46848i | −0.431088 | + | 0.216500i | ||||
\(131\) | −4.39215 | − | 14.6708i | −0.383744 | − | 1.28179i | −0.903908 | − | 0.427727i | \(-0.859314\pi\) |
0.520164 | − | 0.854066i | \(-0.325871\pi\) | |||||||
\(132\) | 10.8919 | + | 9.25464i | 0.948019 | + | 0.805513i | ||||
\(133\) | −9.53964 | + | 12.8140i | −0.827192 | + | 1.11111i | ||||
\(134\) | −3.79789 | + | 6.57813i | −0.328087 | + | 0.568264i | ||||
\(135\) | −0.181562 | + | 2.36228i | −0.0156264 | + | 0.203313i | ||||
\(136\) | −1.53605 | − | 2.66052i | −0.131715 | − | 0.228138i | ||||
\(137\) | 11.9328 | + | 1.39474i | 1.01949 | + | 0.119161i | 0.609381 | − | 0.792877i | \(-0.291418\pi\) |
0.410105 | + | 0.912038i | \(0.365492\pi\) | |||||||
\(138\) | 17.5414 | + | 6.50751i | 1.49322 | + | 0.553956i | ||||
\(139\) | −3.99311 | − | 0.946384i | −0.338691 | − | 0.0802713i | 0.0577509 | − | 0.998331i | \(-0.481607\pi\) |
−0.396442 | + | 0.918060i | \(0.629755\pi\) | |||||||
\(140\) | −4.16187 | − | 2.73731i | −0.351742 | − | 0.231345i | ||||
\(141\) | −12.1813 | − | 13.0723i | −1.02585 | − | 1.10089i | ||||
\(142\) | 14.1325 | + | 14.9796i | 1.18597 | + | 1.25706i | ||||
\(143\) | −11.7279 | + | 9.84085i | −0.980734 | + | 0.822933i | ||||
\(144\) | 3.23449 | − | 2.07057i | 0.269541 | − | 0.172548i | ||||
\(145\) | 1.34029 | + | 1.12464i | 0.111305 | + | 0.0933962i | ||||
\(146\) | 0.133345 | + | 2.28944i | 0.0110357 | + | 0.189476i | ||||
\(147\) | 0.770287 | − | 11.9529i | 0.0635322 | − | 0.985860i | ||||
\(148\) | −14.1940 | − | 19.0658i | −1.16674 | − | 1.56720i | ||||
\(149\) | 19.3947 | − | 2.26691i | 1.58888 | − | 0.185713i | 0.724758 | − | 0.689003i | \(-0.241952\pi\) |
0.864117 | + | 0.503291i | \(0.167877\pi\) | |||||||
\(150\) | 17.9036 | + | 4.36020i | 1.46182 | + | 0.356009i | ||||
\(151\) | −3.17630 | + | 2.08908i | −0.258483 | + | 0.170007i | −0.672136 | − | 0.740428i | \(-0.734623\pi\) |
0.413653 | + | 0.910435i | \(0.364253\pi\) | |||||||
\(152\) | −8.29693 | + | 3.01984i | −0.672970 | + | 0.244941i | ||||
\(153\) | 0.830554 | − | 4.39230i | 0.0671463 | − | 0.355097i | ||||
\(154\) | −21.9270 | − | 7.98078i | −1.76693 | − | 0.643109i | ||||
\(155\) | −1.65564 | + | 0.392394i | −0.132984 | + | 0.0315178i | ||||
\(156\) | −10.7604 | − | 25.3753i | −0.861522 | − | 2.03165i | ||||
\(157\) | 0.448461 | − | 7.69977i | 0.0357911 | − | 0.614509i | −0.931954 | − | 0.362577i | \(-0.881897\pi\) |
0.967745 | − | 0.251932i | \(-0.0810659\pi\) | |||||||
\(158\) | 5.57052 | − | 5.90441i | 0.443167 | − | 0.469729i | ||||
\(159\) | −1.09927 | − | 1.93145i | −0.0871780 | − | 0.153174i | ||||
\(160\) | 1.25796 | + | 2.91627i | 0.0994501 | + | 0.230551i | ||||
\(161\) | −18.1503 | −1.43044 | ||||||||
\(162\) | −19.7821 | − | 2.80917i | −1.55423 | − | 0.220709i | ||||
\(163\) | −17.3352 | −1.35780 | −0.678900 | − | 0.734231i | \(-0.737543\pi\) | ||||
−0.678900 | + | 0.734231i | \(0.737543\pi\) | |||||||
\(164\) | −6.05540 | − | 14.0380i | −0.472847 | − | 1.09618i | ||||
\(165\) | −2.22516 | − | 0.0137445i | −0.173229 | − | 0.00107001i | ||||
\(166\) | 2.84936 | − | 3.02015i | 0.221153 | − | 0.234409i | ||||
\(167\) | −1.12617 | + | 19.3356i | −0.0871456 | + | 1.49623i | 0.617443 | + | 0.786616i | \(0.288169\pi\) |
−0.704588 | + | 0.709616i | \(0.748868\pi\) | |||||||
\(168\) | 8.02073 | − | 10.6359i | 0.618813 | − | 0.820579i | ||||
\(169\) | 16.0782 | − | 3.81059i | 1.23678 | − | 0.293123i | ||||
\(170\) | 1.41736 | + | 0.515876i | 0.108706 | + | 0.0395659i | ||||
\(171\) | −12.0174 | − | 4.54289i | −0.918997 | − | 0.347403i | ||||
\(172\) | 24.2279 | − | 8.81824i | 1.84736 | − | 0.672385i | ||||
\(173\) | −5.56090 | + | 3.65746i | −0.422788 | + | 0.278072i | −0.743023 | − | 0.669266i | \(-0.766609\pi\) |
0.320235 | + | 0.947338i | \(0.396238\pi\) | |||||||
\(174\) | −10.1917 | + | 10.6698i | −0.772631 | + | 0.808873i | ||||
\(175\) | −17.7552 | + | 2.07529i | −1.34217 | + | 0.156877i | ||||
\(176\) | 2.15394 | + | 2.89324i | 0.162359 | + | 0.218086i | ||||
\(177\) | 15.6380 | − | 7.73313i | 1.17543 | − | 0.581258i | ||||
\(178\) | −0.0107661 | − | 0.184847i | −0.000806952 | − | 0.0138548i | ||||
\(179\) | −8.36747 | − | 7.02114i | −0.625414 | − | 0.524785i | 0.274086 | − | 0.961705i | \(-0.411625\pi\) |
−0.899500 | + | 0.436920i | \(0.856069\pi\) | |||||||
\(180\) | 1.19629 | − | 3.82332i | 0.0891660 | − | 0.284974i | ||||
\(181\) | −1.10574 | + | 0.927827i | −0.0821891 | + | 0.0689648i | −0.682957 | − | 0.730459i | \(-0.739306\pi\) |
0.600768 | + | 0.799424i | \(0.294862\pi\) | |||||||
\(182\) | 30.8798 | + | 32.7306i | 2.28896 | + | 2.42616i | ||||
\(183\) | −9.58774 | + | 2.20988i | −0.708746 | + | 0.163359i | ||||
\(184\) | −8.38133 | − | 5.51249i | −0.617880 | − | 0.406386i | ||||
\(185\) | 3.60082 | + | 0.853411i | 0.264738 | + | 0.0627440i | ||||
\(186\) | −2.40440 | − | 14.1464i | −0.176299 | − | 1.03727i | ||||
\(187\) | 4.16998 | + | 0.487401i | 0.304939 | + | 0.0356423i | ||||
\(188\) | 15.1064 | + | 26.1651i | 1.10175 | + | 1.90829i | ||||
\(189\) | 18.9405 | − | 4.11986i | 1.37772 | − | 0.299676i | ||||
\(190\) | 2.16750 | − | 3.75422i | 0.157247 | − | 0.272360i | ||||
\(191\) | −3.42053 | + | 4.59456i | −0.247501 | + | 0.332451i | −0.908461 | − | 0.417970i | \(-0.862742\pi\) |
0.660960 | + | 0.750421i | \(0.270149\pi\) | |||||||
\(192\) | −21.0487 | + | 7.51419i | −1.51906 | + | 0.542290i | ||||
\(193\) | 0.409630 | + | 1.36826i | 0.0294858 | + | 0.0984894i | 0.971466 | − | 0.237179i | \(-0.0762229\pi\) |
−0.941980 | + | 0.335669i | \(0.891038\pi\) | |||||||
\(194\) | 2.92614 | − | 1.46956i | 0.210085 | − | 0.105508i | ||||
\(195\) | 3.82274 | + | 1.94951i | 0.273752 | + | 0.139607i | ||||
\(196\) | −5.80859 | + | 19.4020i | −0.414899 | + | 1.38586i | ||||
\(197\) | 1.15506 | + | 6.55064i | 0.0822943 | + | 0.466714i | 0.997908 | + | 0.0646543i | \(0.0205945\pi\) |
−0.915613 | + | 0.402060i | \(0.868294\pi\) | |||||||
\(198\) | 1.32248 | − | 18.7192i | 0.0939846 | − | 1.33031i | ||||
\(199\) | −0.537480 | + | 3.04820i | −0.0381009 | + | 0.216081i | −0.997914 | − | 0.0645594i | \(-0.979436\pi\) |
0.959813 | + | 0.280641i | \(0.0905469\pi\) | |||||||
\(200\) | −8.82920 | − | 4.43419i | −0.624318 | − | 0.313545i | ||||
\(201\) | 5.89014 | − | 0.651605i | 0.415458 | − | 0.0459607i | ||||
\(202\) | 15.0841 | − | 34.9688i | 1.06131 | − | 2.46039i | ||||
\(203\) | 5.66953 | − | 13.1434i | 0.397923 | − | 0.922489i | ||||
\(204\) | −3.03657 | + | 6.92168i | −0.212602 | + | 0.484615i | ||||
\(205\) | 2.12703 | + | 1.06824i | 0.148558 | + | 0.0746088i | ||||
\(206\) | −1.61686 | + | 9.16969i | −0.112652 | + | 0.638882i | ||||
\(207\) | −4.01335 | − | 14.0342i | −0.278947 | − | 0.975447i | ||||
\(208\) | −1.20786 | − | 6.85013i | −0.0837502 | − | 0.474971i | ||||
\(209\) | 3.46067 | − | 11.5594i | 0.239380 | − | 0.799584i | ||||
\(210\) | 0.339951 | + | 6.53152i | 0.0234588 | + | 0.450717i | ||||
\(211\) | −7.29679 | + | 3.66459i | −0.502332 | + | 0.252280i | −0.681874 | − | 0.731470i | \(-0.738835\pi\) |
0.179542 | + | 0.983750i | \(0.442538\pi\) | |||||||
\(212\) | 1.07773 | + | 3.59988i | 0.0740191 | + | 0.247241i | ||||
\(213\) | 2.88770 | − | 15.8055i | 0.197862 | − | 1.08297i | ||||
\(214\) | −2.13645 | + | 2.86975i | −0.146045 | + | 0.196172i | ||||
\(215\) | −2.00704 | + | 3.47629i | −0.136879 | + | 0.237081i | ||||
\(216\) | 9.99747 | + | 3.85003i | 0.680242 | + | 0.261961i | ||||
\(217\) | 6.96019 | + | 12.0554i | 0.472489 | + | 0.818375i | ||||
\(218\) | 16.8912 | + | 1.97430i | 1.14402 | + | 0.133717i | ||||
\(219\) | 1.37769 | − | 1.14159i | 0.0930956 | − | 0.0771416i | ||||
\(220\) | 3.66113 | + | 0.867704i | 0.246833 | + | 0.0585006i | ||||
\(221\) | −6.76432 | − | 4.44896i | −0.455018 | − | 0.299270i | ||||
\(222\) | −9.13508 | + | 29.8412i | −0.613106 | + | 2.00281i | ||||
\(223\) | −4.03874 | − | 4.28081i | −0.270454 | − | 0.286664i | 0.577885 | − | 0.816118i | \(-0.303878\pi\) |
−0.848339 | + | 0.529454i | \(0.822397\pi\) | |||||||
\(224\) | 19.9047 | − | 16.7020i | 1.32994 | − | 1.11595i | ||||
\(225\) | −5.53066 | − | 13.2699i | −0.368710 | − | 0.884659i | ||||
\(226\) | −21.1282 | − | 17.7286i | −1.40542 | − | 1.17929i | ||||
\(227\) | −0.0925758 | − | 1.58947i | −0.00614447 | − | 0.105497i | 0.993841 | − | 0.110812i | \(-0.0353451\pi\) |
−0.999986 | + | 0.00531535i | \(0.998308\pi\) | |||||||
\(228\) | 18.0756 | + | 12.0491i | 1.19709 | + | 0.797973i | ||||
\(229\) | 14.8578 | + | 19.9574i | 0.981829 | + | 1.31883i | 0.947616 | + | 0.319411i | \(0.103485\pi\) |
0.0342127 | + | 0.999415i | \(0.489108\pi\) | |||||||
\(230\) | 4.89197 | − | 0.571790i | 0.322567 | − | 0.0377027i | ||||
\(231\) | 5.11340 | + | 17.4720i | 0.336437 | + | 1.14957i | ||||
\(232\) | 6.60989 | − | 4.34739i | 0.433960 | − | 0.285420i | ||||
\(233\) | −23.3888 | + | 8.51284i | −1.53225 | + | 0.557694i | −0.964172 | − | 0.265278i | \(-0.914536\pi\) |
−0.568081 | + | 0.822973i | \(0.692314\pi\) | |||||||
\(234\) | −18.4801 | + | 31.1143i | −1.20808 | + | 2.03401i | ||||
\(235\) | −4.42010 | − | 1.60879i | −0.288336 | − | 0.104946i | ||||
\(236\) | −28.7033 | + | 6.80281i | −1.86843 | + | 0.442825i | ||||
\(237\) | −6.28558 | − | 0.774063i | −0.408292 | − | 0.0502808i | ||||
\(238\) | 0.717503 | − | 12.3190i | 0.0465088 | − | 0.798525i | ||||
\(239\) | 17.4995 | − | 18.5484i | 1.13195 | − | 1.19979i | 0.154640 | − | 0.987971i | \(-0.450578\pi\) |
0.977308 | − | 0.211823i | \(-0.0679401\pi\) | |||||||
\(240\) | 0.510899 | − | 0.872414i | 0.0329784 | − | 0.0563141i | ||||
\(241\) | 8.89453 | + | 20.6198i | 0.572947 | + | 1.32824i | 0.920559 | + | 0.390603i | \(0.127733\pi\) |
−0.347612 | + | 0.937638i | \(0.613007\pi\) | |||||||
\(242\) | −6.79578 | −0.436849 | ||||||||
\(243\) | 7.37365 | + | 13.7342i | 0.473020 | + | 0.881052i | ||||
\(244\) | 16.6368 | 1.06506 | ||||||||
\(245\) | −1.24889 | − | 2.89525i | −0.0797887 | − | 0.184971i | ||||
\(246\) | −10.1437 | + | 17.3214i | −0.646739 | + | 1.10438i | ||||
\(247\) | −15.9682 | + | 16.9253i | −1.01603 | + | 1.07693i | ||||
\(248\) | −0.447355 | + | 7.68078i | −0.0284070 | + | 0.487730i | ||||
\(249\) | −3.21512 | − | 0.395939i | −0.203750 | − | 0.0250916i | ||||
\(250\) | 9.64501 | − | 2.28591i | 0.610004 | − | 0.144574i | ||||
\(251\) | 26.1604 | + | 9.52161i | 1.65123 | + | 0.600998i | 0.988949 | − | 0.148257i | \(-0.0473663\pi\) |
0.662281 | + | 0.749256i | \(0.269589\pi\) | |||||||
\(252\) | −32.7724 | − | 0.404877i | −2.06447 | − | 0.0255048i | ||||
\(253\) | 12.8826 | − | 4.68888i | 0.809922 | − | 0.294787i | ||||
\(254\) | −11.8009 | + | 7.76159i | −0.740456 | + | 0.487005i | ||||
\(255\) | −0.330530 | − | 1.12939i | −0.0206986 | − | 0.0707251i | ||||
\(256\) | 6.81644 | − | 0.796727i | 0.426027 | − | 0.0497955i | ||||
\(257\) | −3.84974 | − | 5.17110i | −0.240140 | − | 0.322565i | 0.665671 | − | 0.746245i | \(-0.268145\pi\) |
−0.905812 | + | 0.423681i | \(0.860738\pi\) | |||||||
\(258\) | −28.1674 | − | 18.7763i | −1.75363 | − | 1.16896i | ||||
\(259\) | −1.76035 | − | 30.2240i | −0.109383 | − | 1.87803i | ||||
\(260\) | −5.55827 | − | 4.66394i | −0.344709 | − | 0.289246i | ||||
\(261\) | 11.4165 | + | 1.47757i | 0.706661 | + | 0.0914591i | ||||
\(262\) | 26.0443 | − | 21.8538i | 1.60902 | − | 1.35013i | ||||
\(263\) | 13.5526 | + | 14.3650i | 0.835691 | + | 0.885781i | 0.994838 | − | 0.101474i | \(-0.0323559\pi\) |
−0.159147 | + | 0.987255i | \(0.550874\pi\) | |||||||
\(264\) | −2.94526 | + | 9.62114i | −0.181268 | + | 0.592140i | ||||
\(265\) | −0.488790 | − | 0.321482i | −0.0300262 | − | 0.0197485i | ||||
\(266\) | −34.5097 | − | 8.17895i | −2.11592 | − | 0.501483i | ||||
\(267\) | −0.111233 | + | 0.0921705i | −0.00680733 | + | 0.00564074i | ||||
\(268\) | −9.95252 | − | 1.16328i | −0.607947 | − | 0.0710588i | ||||
\(269\) | 2.28843 | + | 3.96368i | 0.139528 | + | 0.241670i | 0.927318 | − | 0.374274i | \(-0.122108\pi\) |
−0.787790 | + | 0.615944i | \(0.788775\pi\) | |||||||
\(270\) | −4.97516 | + | 1.70709i | −0.302778 | + | 0.103890i | ||||
\(271\) | −5.32242 | + | 9.21870i | −0.323314 | + | 0.559996i | −0.981170 | − | 0.193148i | \(-0.938130\pi\) |
0.657856 | + | 0.753144i | \(0.271464\pi\) | |||||||
\(272\) | −1.13908 | + | 1.53004i | −0.0690666 | + | 0.0927725i | ||||
\(273\) | 6.30967 | − | 34.5352i | 0.381879 | − | 2.09016i | ||||
\(274\) | 7.64959 | + | 25.5514i | 0.462129 | + | 1.54362i | ||||
\(275\) | 12.0661 | − | 6.05981i | 0.727611 | − | 0.365420i | ||||
\(276\) | 1.28288 | + | 24.6481i | 0.0772202 | + | 1.48364i | ||||
\(277\) | 0.252195 | − | 0.842391i | 0.0151530 | − | 0.0506144i | −0.950079 | − | 0.312010i | \(-0.898998\pi\) |
0.965232 | + | 0.261396i | \(0.0841828\pi\) | |||||||
\(278\) | −1.58203 | − | 8.97213i | −0.0948838 | − | 0.538113i | ||||
\(279\) | −7.78251 | + | 8.04745i | −0.465927 | + | 0.481788i | ||||
\(280\) | 0.608950 | − | 3.45353i | 0.0363917 | − | 0.206388i | ||||
\(281\) | 22.2153 | + | 11.1569i | 1.32525 | + | 0.665566i | 0.963751 | − | 0.266805i | \(-0.0859680\pi\) |
0.361501 | + | 0.932372i | \(0.382264\pi\) | |||||||
\(282\) | 15.9365 | − | 36.3264i | 0.949007 | − | 2.16321i | ||||
\(283\) | 2.42327 | − | 5.61777i | 0.144049 | − | 0.333942i | −0.830883 | − | 0.556447i | \(-0.812164\pi\) |
0.974932 | + | 0.222505i | \(0.0714234\pi\) | |||||||
\(284\) | −10.7605 | + | 24.9456i | −0.638518 | + | 1.48025i | ||||
\(285\) | −3.36158 | + | 0.371879i | −0.199123 | + | 0.0220282i | ||||
\(286\) | −30.3732 | − | 15.2540i | −1.79600 | − | 0.901986i | ||||
\(287\) | 3.38146 | − | 19.1772i | 0.199601 | − | 1.13199i | ||||
\(288\) | 17.3157 | + | 11.6977i | 1.02034 | + | 0.689292i | ||||
\(289\) | −2.56648 | − | 14.5552i | −0.150969 | − | 0.856190i | ||||
\(290\) | −1.11403 | + | 3.72111i | −0.0654179 | + | 0.218511i | ||||
\(291\) | −2.27579 | − | 1.16060i | −0.133409 | − | 0.0680357i | ||||
\(292\) | −2.70353 | + | 1.35777i | −0.158212 | + | 0.0794573i | ||||
\(293\) | −1.03629 | − | 3.46146i | −0.0605408 | − | 0.202221i | 0.922368 | − | 0.386312i | \(-0.126251\pi\) |
−0.982909 | + | 0.184091i | \(0.941066\pi\) | |||||||
\(294\) | 25.0434 | − | 8.94025i | 1.46056 | − | 0.521406i | ||||
\(295\) | 2.74248 | − | 3.68379i | 0.159673 | − | 0.214479i | ||||
\(296\) | 8.36657 | − | 14.4913i | 0.486297 | − | 0.842291i | ||||
\(297\) | −12.3791 | + | 7.81718i | −0.718310 | + | 0.453599i | ||||
\(298\) | 21.6753 | + | 37.5427i | 1.25562 | + | 2.17479i | ||||
\(299\) | −26.2588 | − | 3.06921i | −1.51858 | − | 0.177497i | ||||
\(300\) | 4.07320 | + | 23.9649i | 0.235166 | + | 1.38361i | ||||
\(301\) | 31.9548 | + | 7.57344i | 1.84185 | + | 0.436526i | ||||
\(302\) | −7.05158 | − | 4.63790i | −0.405773 | − | 0.266881i | ||||
\(303\) | −28.9528 | + | 6.67333i | −1.66329 | + | 0.383373i | ||||
\(304\) | 3.76214 | + | 3.98764i | 0.215774 | + | 0.228707i | ||||
\(305\) | −1.98417 | + | 1.66491i | −0.113613 | + | 0.0953326i | ||||
\(306\) | 9.68403 | − | 2.16917i | 0.553599 | − | 0.124003i | ||||
\(307\) | 11.8144 | + | 9.91349i | 0.674285 | + | 0.565793i | 0.914330 | − | 0.404969i | \(-0.132718\pi\) |
−0.240045 | + | 0.970762i | \(0.577162\pi\) | |||||||
\(308\) | −1.78983 | − | 30.7302i | −0.101985 | − | 1.75102i | ||||
\(309\) | 6.51169 | − | 3.22008i | 0.370437 | − | 0.183184i | ||||
\(310\) | −2.25574 | − | 3.02998i | −0.128117 | − | 0.172091i | ||||
\(311\) | −18.6380 | + | 2.17847i | −1.05686 | + | 0.123530i | −0.626731 | − | 0.779235i | \(-0.715608\pi\) |
−0.430134 | + | 0.902765i | \(0.641534\pi\) | |||||||
\(312\) | 13.4024 | − | 14.0311i | 0.758764 | − | 0.794356i | ||||
\(313\) | 8.12107 | − | 5.34131i | 0.459030 | − | 0.301909i | −0.298853 | − | 0.954299i | \(-0.596604\pi\) |
0.757883 | + | 0.652390i | \(0.226234\pi\) | |||||||
\(314\) | 16.0903 | − | 5.85640i | 0.908030 | − | 0.330496i | ||||
\(315\) | 3.94908 | − | 3.23139i | 0.222506 | − | 0.182068i | ||||
\(316\) | 10.0626 | + | 3.66250i | 0.566068 | + | 0.206032i | ||||
\(317\) | 15.7808 | − | 3.74011i | 0.886336 | − | 0.210065i | 0.237859 | − | 0.971300i | \(-0.423554\pi\) |
0.648477 | + | 0.761234i | \(0.275406\pi\) | |||||||
\(318\) | 2.97064 | − | 3.93923i | 0.166585 | − | 0.220901i | ||||
\(319\) | −0.628651 | + | 10.7935i | −0.0351977 | + | 0.604321i | ||||
\(320\) | −4.03754 | + | 4.27954i | −0.225705 | + | 0.239234i | ||||
\(321\) | 2.79119 | + | 0.0172408i | 0.155789 | + | 0.000962286i | ||||
\(322\) | −15.9600 | − | 36.9994i | −0.889414 | − | 2.06189i | ||||
\(323\) | 6.38110 | 0.355054 | ||||||||
\(324\) | −6.93350 | − | 25.4299i | −0.385194 | − | 1.41277i | ||||
\(325\) | −26.0381 | −1.44434 | ||||||||
\(326\) | −15.2433 | − | 35.3379i | −0.844247 | − | 1.95718i | ||||
\(327\) | −6.56286 | − | 11.5311i | −0.362927 | − | 0.637672i | ||||
\(328\) | 7.38585 | − | 7.82854i | 0.407815 | − | 0.432259i | ||||
\(329\) | −2.23757 | + | 38.4176i | −0.123361 | + | 2.11803i | ||||
\(330\) | −1.92862 | − | 4.54808i | −0.106167 | − | 0.250363i | ||||
\(331\) | −15.3816 | + | 3.64550i | −0.845448 | + | 0.200375i | −0.630441 | − | 0.776237i | \(-0.717126\pi\) |
−0.215008 | + | 0.976612i | \(0.568978\pi\) | |||||||
\(332\) | 5.14712 | + | 1.87340i | 0.282485 | + | 0.102816i | ||||
\(333\) | 22.9807 | − | 8.04421i | 1.25933 | − | 0.440820i | ||||
\(334\) | −40.4058 | + | 14.7065i | −2.21091 | + | 0.804705i | ||||
\(335\) | 1.30339 | − | 0.857253i | 0.0712118 | − | 0.0468367i | ||||
\(336\) | −8.03635 | − | 1.95715i | −0.438419 | − | 0.106772i | ||||
\(337\) | −17.1710 | + | 2.00700i | −0.935363 | + | 0.109328i | −0.570099 | − | 0.821576i | \(-0.693095\pi\) |
−0.365264 | + | 0.930904i | \(0.619021\pi\) | |||||||
\(338\) | 21.9058 | + | 29.4246i | 1.19152 | + | 1.60049i | ||||
\(339\) | −1.38382 | + | 21.4735i | −0.0751590 | + | 1.16628i | ||||
\(340\) | 0.115694 | + | 1.98640i | 0.00627441 | + | 0.107727i | ||||
\(341\) | −8.05451 | − | 6.75854i | −0.436176 | − | 0.365995i | ||||
\(342\) | −1.30654 | − | 28.4922i | −0.0706498 | − | 1.54068i | ||||
\(343\) | 0.241931 | − | 0.203004i | 0.0130630 | − | 0.0109612i | ||||
\(344\) | 12.4558 | + | 13.2023i | 0.671570 | + | 0.711822i | ||||
\(345\) | −2.61964 | − | 2.81124i | −0.141037 | − | 0.151352i | ||||
\(346\) | −12.3456 | − | 8.11981i | −0.663702 | − | 0.436524i | ||||
\(347\) | −1.02445 | − | 0.242799i | −0.0549954 | − | 0.0130341i | 0.203026 | − | 0.979173i | \(-0.434922\pi\) |
−0.258021 | + | 0.966139i | \(0.583071\pi\) | |||||||
\(348\) | −18.2495 | − | 6.77023i | −0.978277 | − | 0.362922i | ||||
\(349\) | −13.1584 | − | 1.53800i | −0.704355 | − | 0.0823273i | −0.243627 | − | 0.969869i | \(-0.578337\pi\) |
−0.460728 | + | 0.887542i | \(0.652411\pi\) | |||||||
\(350\) | −19.8430 | − | 34.3692i | −1.06066 | − | 1.83711i | ||||
\(351\) | 28.0986 | − | 2.75755i | 1.49979 | − | 0.147187i | ||||
\(352\) | −9.81308 | + | 16.9968i | −0.523039 | + | 0.905930i | ||||
\(353\) | −1.90413 | + | 2.55768i | −0.101346 | + | 0.136132i | −0.849903 | − | 0.526939i | \(-0.823340\pi\) |
0.748557 | + | 0.663071i | \(0.230747\pi\) | |||||||
\(354\) | 29.5149 | + | 25.0782i | 1.56870 | + | 1.33289i | ||||
\(355\) | −1.21308 | − | 4.05196i | −0.0643835 | − | 0.215056i | ||||
\(356\) | 0.218280 | − | 0.109624i | 0.0115688 | − | 0.00581007i | ||||
\(357\) | −8.07607 | + | 5.24054i | −0.427431 | + | 0.277359i | ||||
\(358\) | 6.95489 | − | 23.2309i | 0.367577 | − | 1.22779i | ||||
\(359\) | 1.15541 | + | 6.55268i | 0.0609804 | + | 0.345837i | 0.999998 | + | 0.00196811i | \(0.000626468\pi\) |
−0.939018 | + | 0.343869i | \(0.888262\pi\) | |||||||
\(360\) | 2.80500 | − | 0.292781i | 0.147836 | − | 0.0154309i | ||||
\(361\) | −0.114669 | + | 0.650321i | −0.00603522 | + | 0.0342274i | ||||
\(362\) | −2.86368 | − | 1.43819i | −0.150512 | − | 0.0755897i | ||||
\(363\) | 3.13977 | + | 4.27228i | 0.164795 | + | 0.224236i | ||||
\(364\) | −23.5119 | + | 54.5066i | −1.23236 | + | 2.85692i | ||||
\(365\) | 0.186557 | − | 0.432487i | 0.00976481 | − | 0.0226374i | ||||
\(366\) | −12.9356 | − | 17.6014i | −0.676152 | − | 0.920040i | ||||
\(367\) | 5.37859 | + | 2.70123i | 0.280760 | + | 0.141003i | 0.583607 | − | 0.812036i | \(-0.301641\pi\) |
−0.302847 | + | 0.953039i | \(0.597937\pi\) | |||||||
\(368\) | −1.08161 | + | 6.13410i | −0.0563827 | + | 0.319762i | ||||
\(369\) | 15.5760 | − | 1.62579i | 0.810853 | − | 0.0846355i | ||||
\(370\) | 1.42661 | + | 8.09070i | 0.0741659 | + | 0.420616i | ||||
\(371\) | −1.37273 | + | 4.58524i | −0.0712686 | + | 0.238054i | ||||
\(372\) | 15.8793 | − | 10.3040i | 0.823303 | − | 0.534239i | ||||
\(373\) | 1.63781 | − | 0.822538i | 0.0848024 | − | 0.0425894i | −0.405892 | − | 0.913921i | \(-0.633039\pi\) |
0.490695 | + | 0.871331i | \(0.336743\pi\) | |||||||
\(374\) | 2.67319 | + | 8.92909i | 0.138228 | + | 0.461712i | ||||
\(375\) | −5.89323 | − | 5.00736i | −0.304325 | − | 0.258579i | ||||
\(376\) | −12.7012 | + | 17.0607i | −0.655014 | + | 0.879836i | ||||
\(377\) | 10.4249 | − | 18.0564i | 0.536909 | − | 0.929954i | ||||
\(378\) | 25.0531 | + | 34.9874i | 1.28859 | + | 1.79956i | ||||
\(379\) | −13.2873 | − | 23.0142i | −0.682521 | − | 1.18216i | −0.974209 | − | 0.225648i | \(-0.927550\pi\) |
0.291687 | − | 0.956514i | \(-0.405783\pi\) | |||||||
\(380\) | 5.68003 | + | 0.663900i | 0.291379 | + | 0.0340574i | ||||
\(381\) | 10.3317 | + | 3.83286i | 0.529308 | + | 0.196363i | ||||
\(382\) | −12.3738 | − | 2.93264i | −0.633097 | − | 0.150047i | ||||
\(383\) | −9.29583 | − | 6.11396i | −0.474995 | − | 0.312409i | 0.289343 | − | 0.957226i | \(-0.406563\pi\) |
−0.764337 | + | 0.644817i | \(0.776934\pi\) | |||||||
\(384\) | −17.3765 | − | 18.6474i | −0.886739 | − | 0.951596i | ||||
\(385\) | 3.28877 | + | 3.48589i | 0.167611 | + | 0.177657i | ||||
\(386\) | −2.42900 | + | 2.03817i | −0.123633 | + | 0.103740i | ||||
\(387\) | 1.20982 | + | 26.3829i | 0.0614985 | + | 1.34112i | ||||
\(388\) | 3.30901 | + | 2.77659i | 0.167989 | + | 0.140960i | ||||
\(389\) | −0.218534 | − | 3.75208i | −0.0110801 | − | 0.190238i | −0.999306 | − | 0.0372387i | \(-0.988144\pi\) |
0.988226 | − | 0.152999i | \(-0.0488932\pi\) | |||||||
\(390\) | −0.612657 | + | 9.50690i | −0.0310231 | + | 0.481401i | ||||
\(391\) | 4.32938 | + | 5.81537i | 0.218946 | + | 0.294096i | ||||
\(392\) | −14.1613 | + | 1.65522i | −0.715254 | + | 0.0836012i | ||||
\(393\) | −25.7716 | − | 6.27637i | −1.30001 | − | 0.316601i | ||||
\(394\) | −12.3378 | + | 8.11471i | −0.621570 | + | 0.408813i | ||||
\(395\) | −1.56663 | + | 0.570207i | −0.0788258 | + | 0.0286903i | ||||
\(396\) | 23.3656 | − | 8.17894i | 1.17416 | − | 0.411007i | ||||
\(397\) | −22.5522 | − | 8.20833i | −1.13186 | − | 0.411964i | −0.292894 | − | 0.956145i | \(-0.594618\pi\) |
−0.838968 | + | 0.544181i | \(0.816841\pi\) | |||||||
\(398\) | −6.68637 | + | 1.58470i | −0.335158 | + | 0.0794338i | ||||
\(399\) | 10.8022 | + | 25.4739i | 0.540788 | + | 1.27529i | ||||
\(400\) | −0.356697 | + | 6.12426i | −0.0178349 | + | 0.306213i | ||||
\(401\) | −2.48625 | + | 2.63527i | −0.124157 | + | 0.131599i | −0.786470 | − | 0.617628i | \(-0.788094\pi\) |
0.662313 | + | 0.749228i | \(0.269575\pi\) | |||||||
\(402\) | 6.50763 | + | 11.4341i | 0.324571 | + | 0.570280i | ||||
\(403\) | 8.03103 | + | 18.6180i | 0.400054 | + | 0.927430i | ||||
\(404\) | 50.2392 | 2.49950 | ||||||||
\(405\) | 3.37180 | + | 2.33901i | 0.167546 | + | 0.116226i | ||||
\(406\) | 31.7783 | 1.57713 | ||||||||
\(407\) | 9.05742 | + | 20.9975i | 0.448960 | + | 1.04081i | ||||
\(408\) | −5.32094 | − | 0.0328667i | −0.263426 | − | 0.00162714i | ||||
\(409\) | 17.6319 | − | 18.6888i | 0.871843 | − | 0.924099i | −0.125846 | − | 0.992050i | \(-0.540165\pi\) |
0.997689 | + | 0.0679505i | \(0.0216460\pi\) | |||||||
\(410\) | −0.307250 | + | 5.27528i | −0.0151740 | + | 0.260528i | ||||
\(411\) | 12.5291 | − | 16.6142i | 0.618014 | − | 0.819519i | ||||
\(412\) | −11.9521 | + | 2.83270i | −0.588837 | + | 0.139557i | ||||
\(413\) | −35.3068 | − | 12.8506i | −1.73733 | − | 0.632338i | ||||
\(414\) | 25.0798 | − | 20.5218i | 1.23260 | − | 1.00859i | ||||
\(415\) | −0.801344 | + | 0.291665i | −0.0393364 | + | 0.0143173i | ||||
\(416\) | 31.6212 | − | 20.7976i | 1.55036 | − | 1.01969i | ||||
\(417\) | −4.90955 | + | 5.13984i | −0.240422 | + | 0.251699i | ||||
\(418\) | 26.6070 | − | 3.10991i | 1.30139 | − | 0.152111i | ||||
\(419\) | 1.00972 | + | 1.35629i | 0.0493281 | + | 0.0662591i | 0.826103 | − | 0.563519i | \(-0.190553\pi\) |
−0.776775 | + | 0.629779i | \(0.783146\pi\) | |||||||
\(420\) | −7.73401 | + | 3.82453i | −0.377381 | + | 0.186618i | ||||
\(421\) | 1.32301 | + | 22.7152i | 0.0644795 | + | 1.10707i | 0.863033 | + | 0.505147i | \(0.168562\pi\) |
−0.798554 | + | 0.601924i | \(0.794401\pi\) | |||||||
\(422\) | −13.8865 | − | 11.6521i | −0.675984 | − | 0.567218i | ||||
\(423\) | −30.2002 | + | 6.76466i | −1.46838 | + | 0.328909i | ||||
\(424\) | −2.02649 | + | 1.70043i | −0.0984151 | + | 0.0825801i | ||||
\(425\) | 4.90007 | + | 5.19378i | 0.237689 | + | 0.251935i | ||||
\(426\) | 34.7586 | − | 8.01152i | 1.68406 | − | 0.388159i | ||||
\(427\) | 17.7045 | + | 11.6444i | 0.856779 | + | 0.563512i | ||||
\(428\) | −4.59243 | − | 1.08843i | −0.221984 | − | 0.0526111i | ||||
\(429\) | 4.44326 | + | 26.1422i | 0.214522 | + | 1.26216i | ||||
\(430\) | −8.85124 | − | 1.03456i | −0.426845 | − | 0.0498910i | ||||
\(431\) | 9.53572 | + | 16.5164i | 0.459319 | + | 0.795565i | 0.998925 | − | 0.0463532i | \(-0.0147600\pi\) |
−0.539606 | + | 0.841918i | \(0.681427\pi\) | |||||||
\(432\) | −0.263660 | − | 6.64666i | −0.0126854 | − | 0.319787i | ||||
\(433\) | 3.29716 | − | 5.71085i | 0.158451 | − | 0.274446i | −0.775859 | − | 0.630906i | \(-0.782683\pi\) |
0.934310 | + | 0.356461i | \(0.116017\pi\) | |||||||
\(434\) | −18.4547 | + | 24.7890i | −0.885854 | + | 1.18991i | ||||
\(435\) | 2.85403 | − | 1.01886i | 0.136840 | − | 0.0488508i | ||||
\(436\) | 6.43427 | + | 21.4920i | 0.308146 | + | 1.02928i | ||||
\(437\) | 18.6205 | − | 9.35156i | 0.890739 | − | 0.447346i | ||||
\(438\) | 3.53857 | + | 1.80459i | 0.169079 | + | 0.0862267i | ||||
\(439\) | 9.76013 | − | 32.6011i | 0.465826 | − | 1.55597i | −0.326092 | − | 0.945338i | \(-0.605732\pi\) |
0.791917 | − | 0.610628i | \(-0.209083\pi\) | |||||||
\(440\) | 0.459955 | + | 2.60854i | 0.0219275 | + | 0.124357i | ||||
\(441\) | −17.1909 | − | 11.6134i | −0.818614 | − | 0.553018i | ||||
\(442\) | 3.12119 | − | 17.7011i | 0.148460 | − | 0.841958i | ||||
\(443\) | −11.9607 | − | 6.00690i | −0.568271 | − | 0.285396i | 0.141374 | − | 0.989956i | \(-0.454848\pi\) |
−0.709644 | + | 0.704560i | \(0.751144\pi\) | |||||||
\(444\) | −40.9198 | + | 4.52682i | −1.94197 | + | 0.214833i | ||||
\(445\) | −0.0150623 | + | 0.0349184i | −0.000714022 | + | 0.00165529i | ||||
\(446\) | 5.17508 | − | 11.9972i | 0.245047 | − | 0.568083i | ||||
\(447\) | 13.5875 | − | 30.9719i | 0.642666 | − | 1.46492i | ||||
\(448\) | 43.0148 | + | 21.6028i | 2.03226 | + | 1.02064i | ||||
\(449\) | 5.53917 | − | 31.4142i | 0.261410 | − | 1.48253i | −0.517658 | − | 0.855588i | \(-0.673196\pi\) |
0.779067 | − | 0.626940i | \(-0.215693\pi\) | |||||||
\(450\) | 22.1874 | − | 22.9428i | 1.04592 | − | 1.08153i | ||||
\(451\) | 2.55410 | + | 14.4850i | 0.120268 | + | 0.682073i | ||||
\(452\) | 10.4352 | − | 34.8559i | 0.490829 | − | 1.63948i | ||||
\(453\) | 0.342260 | + | 6.57588i | 0.0160808 | + | 0.308962i | ||||
\(454\) | 3.15872 | − | 1.58637i | 0.148246 | − | 0.0744520i | ||||
\(455\) | −2.65060 | − | 8.85360i | −0.124262 | − | 0.415063i | ||||
\(456\) | −2.74858 | + | 15.0440i | −0.128714 | + | 0.704498i | ||||
\(457\) | 14.8500 | − | 19.9470i | 0.694653 | − | 0.933080i | −0.305163 | − | 0.952300i | \(-0.598711\pi\) |
0.999815 | + | 0.0192199i | \(0.00611825\pi\) | |||||||
\(458\) | −27.6185 | + | 47.8366i | −1.29053 | + | 2.23526i | ||||
\(459\) | −5.83787 | − | 5.08583i | −0.272488 | − | 0.237386i | ||||
\(460\) | 3.24869 | + | 5.62690i | 0.151471 | + | 0.262355i | ||||
\(461\) | 30.7163 | + | 3.59023i | 1.43060 | + | 0.167213i | 0.795846 | − | 0.605499i | \(-0.207026\pi\) |
0.634756 | + | 0.772712i | \(0.281100\pi\) | |||||||
\(462\) | −31.1204 | + | 25.7872i | −1.44785 | + | 1.19973i | ||||
\(463\) | −9.91053 | − | 2.34884i | −0.460581 | − | 0.109160i | −0.00622655 | − | 0.999981i | \(-0.501982\pi\) |
−0.454355 | + | 0.890821i | \(0.650130\pi\) | |||||||
\(464\) | −4.10412 | − | 2.69932i | −0.190529 | − | 0.125313i | ||||
\(465\) | −0.862657 | + | 2.81801i | −0.0400048 | + | 0.130682i | ||||
\(466\) | −37.9197 | − | 40.1926i | −1.75660 | − | 1.86189i | ||||
\(467\) | −16.8868 | + | 14.1697i | −0.781429 | + | 0.655697i | −0.943608 | − | 0.331065i | \(-0.892592\pi\) |
0.162179 | + | 0.986761i | \(0.448148\pi\) | |||||||
\(468\) | −47.3447 | − | 6.12756i | −2.18851 | − | 0.283247i | ||||
\(469\) | −9.77703 | − | 8.20390i | −0.451461 | − | 0.378821i | ||||
\(470\) | −0.607188 | − | 10.4250i | −0.0280075 | − | 0.480870i | ||||
\(471\) | −11.1157 | − | 7.40969i | −0.512186 | − | 0.341421i | ||||
\(472\) | −12.4009 | − | 16.6572i | −0.570796 | − | 0.766712i | ||||
\(473\) | −24.6372 | + | 2.87968i | −1.13282 | + | 0.132408i | ||||
\(474\) | −3.94913 | − | 13.4938i | −0.181389 | − | 0.619791i | ||||
\(475\) | 17.1459 | − | 11.2771i | 0.786710 | − | 0.517427i | ||||
\(476\) | 15.2970 | − | 5.56765i | 0.701136 | − | 0.255193i | ||||
\(477\) | −3.84895 | − | 0.0475507i | −0.176231 | − | 0.00217720i | ||||
\(478\) | 53.1985 | + | 19.3627i | 2.43324 | + | 0.885629i | ||||
\(479\) | −25.0903 | + | 5.94651i | −1.14640 | + | 0.271703i | −0.759557 | − | 0.650441i | \(-0.774584\pi\) |
−0.386848 | + | 0.922144i | \(0.626436\pi\) | |||||||
\(480\) | 5.45977 | + | 0.672366i | 0.249203 | + | 0.0306892i | ||||
\(481\) | 2.56411 | − | 44.0240i | 0.116913 | − | 2.00732i | ||||
\(482\) | −34.2124 | + | 36.2630i | −1.55833 | + | 1.65173i | ||||
\(483\) | −15.8865 | + | 27.1278i | −0.722860 | + | 1.23436i | ||||
\(484\) | −3.55083 | − | 8.23174i | −0.161401 | − | 0.374170i | ||||
\(485\) | −0.672509 | −0.0305371 | ||||||||
\(486\) | −21.5134 | + | 27.1080i | −0.975869 | + | 1.22964i | ||||
\(487\) | 30.8101 | 1.39614 | 0.698070 | − | 0.716029i | \(-0.254042\pi\) | ||||
0.698070 | + | 0.716029i | \(0.254042\pi\) | |||||||
\(488\) | 4.63890 | + | 10.7542i | 0.209993 | + | 0.486819i | ||||
\(489\) | −15.1731 | + | 25.9096i | −0.686150 | + | 1.17167i | ||||
\(490\) | 4.80379 | − | 5.09172i | 0.217013 | − | 0.230021i | ||||
\(491\) | 2.26596 | − | 38.9050i | 0.102261 | − | 1.75576i | −0.424207 | − | 0.905565i | \(-0.639447\pi\) |
0.526469 | − | 0.850195i | \(-0.323516\pi\) | |||||||
\(492\) | −26.2816 | − | 3.23656i | −1.18487 | − | 0.145915i | ||||
\(493\) | −5.56353 | + | 1.31858i | −0.250569 | + | 0.0593859i | ||||
\(494\) | −48.5435 | − | 17.6684i | −2.18408 | − | 0.794939i | ||||
\(495\) | −1.96817 | + | 3.31374i | −0.0884626 | + | 0.148942i | ||||
\(496\) | 4.48904 | − | 1.63388i | 0.201564 | − | 0.0733632i | ||||
\(497\) | −28.9110 | + | 19.0151i | −1.29684 | + | 0.852943i | ||||
\(498\) | −2.02001 | − | 6.90218i | −0.0905187 | − | 0.309294i | ||||
\(499\) | −21.0049 | + | 2.45513i | −0.940310 | + | 0.109907i | −0.572418 | − | 0.819962i | \(-0.693995\pi\) |
−0.367892 | + | 0.929868i | \(0.619921\pi\) | |||||||
\(500\) | 7.80849 | + | 10.4886i | 0.349206 | + | 0.469065i | ||||
\(501\) | 27.9137 | + | 18.6071i | 1.24709 | + | 0.831305i | ||||
\(502\) | 3.59365 | + | 61.7005i | 0.160392 | + | 2.75383i | ||||
\(503\) | 15.3256 | + | 12.8597i | 0.683335 | + | 0.573386i | 0.916979 | − | 0.398936i | \(-0.130620\pi\) |
−0.233644 | + | 0.972322i | \(0.575065\pi\) | |||||||
\(504\) | −8.87634 | − | 21.2973i | −0.395384 | − | 0.948657i | ||||
\(505\) | −5.99173 | + | 5.02765i | −0.266628 | + | 0.223728i | ||||
\(506\) | 20.8862 | + | 22.1381i | 0.928507 | + | 0.984160i | ||||
\(507\) | 8.37740 | − | 27.3661i | 0.372053 | − | 1.21537i | ||||
\(508\) | −15.5677 | − | 10.2390i | −0.690704 | − | 0.454283i | ||||
\(509\) | −2.22922 | − | 0.528335i | −0.0988085 | − | 0.0234180i | 0.180914 | − | 0.983499i | \(-0.442094\pi\) |
−0.279723 | + | 0.960081i | \(0.590243\pi\) | |||||||
\(510\) | 2.01162 | − | 1.66688i | 0.0890759 | − | 0.0738108i | ||||
\(511\) | −3.82737 | − | 0.447355i | −0.169313 | − | 0.0197898i | ||||
\(512\) | −7.09785 | − | 12.2938i | −0.313684 | − | 0.543316i | ||||
\(513\) | −17.3085 | + | 13.9853i | −0.764187 | + | 0.617465i | ||||
\(514\) | 7.15613 | − | 12.3948i | 0.315643 | − | 0.546710i | ||||
\(515\) | 1.14197 | − | 1.53393i | 0.0503213 | − | 0.0675932i | ||||
\(516\) | 8.02613 | − | 43.9300i | 0.353331 | − | 1.93391i | ||||
\(517\) | −8.33649 | − | 27.8458i | −0.366639 | − | 1.22466i | ||||
\(518\) | 60.0638 | − | 30.1652i | 2.63905 | − | 1.32538i | ||||
\(519\) | 0.599212 | + | 11.5127i | 0.0263025 | + | 0.505353i | ||||
\(520\) | 1.46498 | − | 4.89339i | 0.0642438 | − | 0.214589i | ||||
\(521\) | 0.453448 | + | 2.57163i | 0.0198659 | + | 0.112665i | 0.993128 | − | 0.117031i | \(-0.0373378\pi\) |
−0.973262 | + | 0.229696i | \(0.926227\pi\) | |||||||
\(522\) | 7.02673 | + | 24.5717i | 0.307552 | + | 1.07547i | ||||
\(523\) | 4.85926 | − | 27.5583i | 0.212481 | − | 1.20504i | −0.672744 | − | 0.739875i | \(-0.734885\pi\) |
0.885225 | − | 0.465163i | \(-0.154004\pi\) | |||||||
\(524\) | 40.0798 | + | 20.1288i | 1.75089 | + | 0.879332i | ||||
\(525\) | −12.4389 | + | 28.3538i | −0.542879 | + | 1.23746i | ||||
\(526\) | −17.3658 | + | 40.2585i | −0.757185 | + | 1.75535i | ||||
\(527\) | 2.20235 | − | 5.10563i | 0.0959360 | − | 0.222405i | ||||
\(528\) | 6.20959 | − | 0.686945i | 0.270238 | − | 0.0298955i | ||||
\(529\) | 0.602388 | + | 0.302530i | 0.0261908 | + | 0.0131535i | ||||
\(530\) | 0.225537 | − | 1.27909i | 0.00979672 | − | 0.0555599i | ||||
\(531\) | 2.12945 | − | 30.1416i | 0.0924104 | − | 1.30803i | ||||
\(532\) | −8.12430 | − | 46.0752i | −0.352233 | − | 1.99761i | ||||
\(533\) | 8.13496 | − | 27.1727i | 0.352364 | − | 1.17698i | ||||
\(534\) | −0.285699 | − | 0.145700i | −0.0123634 | − | 0.00630506i | ||||
\(535\) | 0.656635 | − | 0.329774i | 0.0283888 | − | 0.0142574i | ||||
\(536\) | −2.02314 | − | 6.75777i | −0.0873865 | − | 0.291891i | ||||
\(537\) | −17.8178 | + | 6.36079i | −0.768894 | + | 0.274488i | ||||
\(538\) | −6.06769 | + | 8.15032i | −0.261597 | + | 0.351385i | ||||
\(539\) | 9.74236 | − | 16.8743i | 0.419633 | − | 0.726826i | ||||
\(540\) | −4.66735 | − | 5.13445i | −0.200851 | − | 0.220952i | ||||
\(541\) | −21.7550 | − | 37.6807i | −0.935319 | − | 1.62002i | −0.774064 | − | 0.633108i | \(-0.781779\pi\) |
−0.161256 | − | 0.986913i | \(-0.551554\pi\) | |||||||
\(542\) | −23.4724 | − | 2.74354i | −1.00823 | − | 0.117845i | ||||
\(543\) | 0.418924 | + | 2.46477i | 0.0179778 | + | 0.105773i | ||||
\(544\) | −10.0992 | − | 2.39355i | −0.433000 | − | 0.102623i | ||||
\(545\) | −2.91817 | − | 1.91931i | −0.125001 | − | 0.0822142i | ||||
\(546\) | 75.9482 | − | 17.5053i | 3.25028 | − | 0.749158i | ||||
\(547\) | −7.37003 | − | 7.81178i | −0.315120 | − | 0.334007i | 0.550382 | − | 0.834913i | \(-0.314482\pi\) |
−0.865502 | + | 0.500905i | \(0.833000\pi\) | |||||||
\(548\) | −26.9535 | + | 22.6167i | −1.15140 | + | 0.966138i | ||||
\(549\) | −5.08897 | + | 16.2643i | −0.217192 | + | 0.694143i | ||||
\(550\) | 22.9629 | + | 19.2681i | 0.979141 | + | 0.821597i | ||||
\(551\) | 0.955485 | + | 16.4050i | 0.0407050 | + | 0.698879i | ||||
\(552\) | −15.5751 | + | 7.70199i | −0.662918 | + | 0.327818i | ||||
\(553\) | 8.14497 | + | 10.9406i | 0.346359 | + | 0.465241i | ||||
\(554\) | 1.93898 | − | 0.226634i | 0.0823792 | − | 0.00962874i | ||||
\(555\) | 4.42724 | − | 4.63490i | 0.187926 | − | 0.196741i | ||||
\(556\) | 10.0413 | − | 6.60430i | 0.425848 | − | 0.280085i | ||||
\(557\) | 38.0896 | − | 13.8635i | 1.61391 | − | 0.587414i | 0.631700 | − | 0.775213i | \(-0.282357\pi\) |
0.982208 | + | 0.187798i | \(0.0601351\pi\) | |||||||
\(558\) | −23.2481 | − | 8.78833i | −0.984169 | − | 0.372040i | ||||
\(559\) | 44.9497 | + | 16.3604i | 1.90117 | + | 0.691970i | ||||
\(560\) | −2.11871 | + | 0.502143i | −0.0895317 | + | 0.0212194i | ||||
\(561\) | 4.37836 | − | 5.80594i | 0.184854 | − | 0.245127i | ||||
\(562\) | −3.20900 | + | 55.0964i | −0.135363 | + | 2.32410i | ||||
\(563\) | 5.52377 | − | 5.85485i | 0.232799 | − | 0.246753i | −0.600434 | − | 0.799674i | \(-0.705006\pi\) |
0.833233 | + | 0.552922i | \(0.186487\pi\) | |||||||
\(564\) | 52.3292 | + | 0.323230i | 2.20346 | + | 0.0136104i | ||||
\(565\) | 2.24364 | + | 5.20134i | 0.0943906 | + | 0.218822i | ||||
\(566\) | 13.5827 | 0.570922 | ||||||||
\(567\) | 10.4205 | − | 31.9148i | 0.437618 | − | 1.34030i | ||||
\(568\) | −19.1255 | −0.802488 | ||||||||
\(569\) | 12.7288 | + | 29.5087i | 0.533619 | + | 1.23707i | 0.945438 | + | 0.325803i | \(0.105635\pi\) |
−0.411818 | + | 0.911266i | \(0.635106\pi\) | |||||||
\(570\) | −3.71399 | − | 6.52557i | −0.155562 | − | 0.273326i | ||||
\(571\) | −12.8632 | + | 13.6342i | −0.538308 | + | 0.570573i | −0.938246 | − | 0.345969i | \(-0.887550\pi\) |
0.399938 | + | 0.916542i | \(0.369032\pi\) | |||||||
\(572\) | 2.60705 | − | 44.7614i | 0.109006 | − | 1.87157i | ||||
\(573\) | 3.87324 | + | 9.13390i | 0.161807 | + | 0.381574i | ||||
\(574\) | 42.0661 | − | 9.96985i | 1.75581 | − | 0.416134i | ||||
\(575\) | 21.9103 | + | 7.97470i | 0.913722 | + | 0.332568i | ||||
\(576\) | −7.19250 | + | 38.0368i | −0.299688 | + | 1.58487i | ||||
\(577\) | −40.5523 | + | 14.7598i | −1.68822 | + | 0.614460i | −0.994399 | − | 0.105691i | \(-0.966295\pi\) |
−0.693817 | + | 0.720151i | \(0.744072\pi\) | |||||||
\(578\) | 27.4141 | − | 18.0305i | 1.14027 | − | 0.749970i | ||||
\(579\) | 2.40357 | + | 0.585360i | 0.0998889 | + | 0.0243267i | ||||
\(580\) | −5.08947 | + | 0.594874i | −0.211329 | + | 0.0247008i | ||||
\(581\) | 4.16621 | + | 5.59619i | 0.172844 | + | 0.232169i | ||||
\(582\) | 0.364733 | − | 5.65974i | 0.0151187 | − | 0.234604i | ||||
\(583\) | −0.210207 | − | 3.60911i | −0.00870587 | − | 0.149474i | ||||
\(584\) | −1.63151 | − | 1.36900i | −0.0675124 | − | 0.0566496i | ||||
\(585\) | 6.25973 | − | 4.00719i | 0.258808 | − | 0.165677i | ||||
\(586\) | 6.14494 | − | 5.15622i | 0.253845 | − | 0.213002i | ||||
\(587\) | −11.6164 | − | 12.3127i | −0.479462 | − | 0.508200i | 0.441816 | − | 0.897106i | \(-0.354335\pi\) |
−0.921277 | + | 0.388906i | \(0.872853\pi\) | |||||||
\(588\) | 23.9146 | + | 25.6638i | 0.986222 | + | 1.05836i | ||||
\(589\) | −13.3518 | − | 8.78162i | −0.550152 | − | 0.361840i | ||||
\(590\) | 9.92093 | + | 2.35130i | 0.408438 | + | 0.0968016i | ||||
\(591\) | 10.8017 | + | 4.00724i | 0.444324 | + | 0.164836i | ||||
\(592\) | −10.3195 | − | 1.20617i | −0.424128 | − | 0.0495734i | ||||
\(593\) | 11.2411 | + | 19.4701i | 0.461615 | + | 0.799540i | 0.999042 | − | 0.0437700i | \(-0.0139369\pi\) |
−0.537427 | + | 0.843310i | \(0.680604\pi\) | |||||||
\(594\) | −26.8206 | − | 18.3610i | −1.10046 | − | 0.753362i | ||||
\(595\) | −1.26720 | + | 2.19485i | −0.0519501 | + | 0.0899802i | ||||
\(596\) | −34.1501 | + | 45.8716i | −1.39884 | + | 1.87897i | ||||
\(597\) | 4.08547 | + | 3.47134i | 0.167207 | + | 0.142072i | ||||
\(598\) | −16.8334 | − | 56.2273i | −0.688367 | − | 2.29931i | ||||
\(599\) | −23.5603 | + | 11.8324i | −0.962646 | + | 0.483459i | −0.859460 | − | 0.511203i | \(-0.829200\pi\) |
−0.103186 | + | 0.994662i | \(0.532904\pi\) | |||||||
\(600\) | −14.3554 | + | 9.31518i | −0.586057 | + | 0.380291i | ||||
\(601\) | −9.95958 | + | 33.2673i | −0.406260 | + | 1.35700i | 0.473169 | + | 0.880972i | \(0.343110\pi\) |
−0.879429 | + | 0.476030i | \(0.842075\pi\) | |||||||
\(602\) | 12.6602 | + | 71.7994i | 0.515990 | + | 2.92633i | ||||
\(603\) | 4.18158 | − | 9.37386i | 0.170287 | − | 0.381733i | ||||
\(604\) | 1.93341 | − | 10.9649i | 0.0786694 | − | 0.446156i | ||||
\(605\) | 1.24727 | + | 0.626403i | 0.0507088 | + | 0.0254669i | ||||
\(606\) | −39.0624 | − | 53.1522i | −1.58680 | − | 2.15916i | ||||
\(607\) | 7.27077 | − | 16.8555i | 0.295111 | − | 0.684145i | −0.704564 | − | 0.709641i | \(-0.748857\pi\) |
0.999675 | + | 0.0254958i | \(0.00811645\pi\) | |||||||
\(608\) | −11.8150 | + | 27.3902i | −0.479160 | + | 1.11082i | ||||
\(609\) | −14.6821 | − | 19.9779i | −0.594948 | − | 0.809546i | ||||
\(610\) | −5.13865 | − | 2.58072i | −0.208058 | − | 0.104490i | ||||
\(611\) | −9.73359 | + | 55.2019i | −0.393779 | + | 2.23323i | ||||
\(612\) | 7.68747 | + | 10.5969i | 0.310748 | + | 0.428354i | ||||
\(613\) | 4.29307 | + | 24.3472i | 0.173396 | + | 0.983375i | 0.939979 | + | 0.341231i | \(0.110844\pi\) |
−0.766584 | + | 0.642144i | \(0.778045\pi\) | |||||||
\(614\) | −9.81994 | + | 32.8009i | −0.396300 | + | 1.32374i | ||||
\(615\) | 3.45835 | − | 2.24411i | 0.139454 | − | 0.0904913i | ||||
\(616\) | 19.3653 | − | 9.72560i | 0.780248 | − | 0.391855i | ||||
\(617\) | 9.45434 | + | 31.5797i | 0.380617 | + | 1.27135i | 0.907010 | + | 0.421109i | \(0.138359\pi\) |
−0.526392 | + | 0.850242i | \(0.676456\pi\) | |||||||
\(618\) | 12.2900 | + | 10.4426i | 0.494377 | + | 0.420062i | ||||
\(619\) | −22.5221 | + | 30.2525i | −0.905241 | + | 1.21595i | 0.0706080 | + | 0.997504i | \(0.477506\pi\) |
−0.975849 | + | 0.218446i | \(0.929901\pi\) | |||||||
\(620\) | 2.49159 | − | 4.31556i | 0.100065 | − | 0.173317i | ||||
\(621\) | −24.4887 | − | 6.28536i | −0.982696 | − | 0.252223i | ||||
\(622\) | −20.8296 | − | 36.0780i | −0.835193 | − | 1.44660i | ||||
\(623\) | 0.309016 | + | 0.0361188i | 0.0123805 | + | 0.00144707i | ||||
\(624\) | −11.2956 | − | 4.19044i | −0.452184 | − | 0.167752i | ||||
\(625\) | 21.3337 | + | 5.05619i | 0.853349 | + | 0.202247i | ||||
\(626\) | 18.0293 | + | 11.8581i | 0.720596 | + | 0.473943i | ||||
\(627\) | −14.2480 | − | 15.2901i | −0.569009 | − | 0.610627i | ||||
\(628\) | 15.5011 | + | 16.4303i | 0.618563 | + | 0.655639i | ||||
\(629\) | −9.26392 | + | 7.77335i | −0.369377 | + | 0.309944i | ||||
\(630\) | 10.0597 | + | 5.20877i | 0.400788 | + | 0.207522i | ||||
\(631\) | 0.973216 | + | 0.816625i | 0.0387431 | + | 0.0325093i | 0.661954 | − | 0.749545i | \(-0.269728\pi\) |
−0.623210 | + | 0.782054i | \(0.714172\pi\) | |||||||
\(632\) | 0.438329 | + | 7.52582i | 0.0174358 | + | 0.299361i | ||||
\(633\) | −0.909520 | + | 14.1135i | −0.0361502 | + | 0.560960i | ||||
\(634\) | 21.5006 | + | 28.8803i | 0.853898 | + | 1.14698i | ||||
\(635\) | 2.88132 | − | 0.336778i | 0.114342 | − | 0.0133646i | ||||
\(636\) | 6.32378 | + | 1.54008i | 0.250754 | + | 0.0610681i | ||||
\(637\) | −31.3934 | + | 20.6477i | −1.24385 | + | 0.818093i | ||||
\(638\) | −22.5554 | + | 8.20948i | −0.892976 | + | 0.325017i | ||||
\(639\) | −21.0956 | − | 18.1501i | −0.834531 | − | 0.718008i | ||||
\(640\) | −6.30520 | − | 2.29490i | −0.249235 | − | 0.0907140i | ||||
\(641\) | 2.89349 | − | 0.685770i | 0.114286 | − | 0.0270863i | −0.173075 | − | 0.984909i | \(-0.555370\pi\) |
0.287361 | + | 0.957822i | \(0.407222\pi\) | |||||||
\(642\) | 2.41921 | + | 5.70500i | 0.0954786 | + | 0.225158i | ||||
\(643\) | 2.78168 | − | 47.7596i | 0.109699 | − | 1.88345i | −0.276467 | − | 0.961023i | \(-0.589164\pi\) |
0.386165 | − | 0.922430i | \(-0.373799\pi\) | |||||||
\(644\) | 36.4782 | − | 38.6647i | 1.43744 | − | 1.52360i | ||||
\(645\) | 3.43903 | + | 6.04246i | 0.135412 | + | 0.237922i | ||||
\(646\) | 5.61104 | + | 13.0079i | 0.220764 | + | 0.511788i | ||||
\(647\) | −2.27308 | −0.0893639 | −0.0446820 | − | 0.999001i | \(-0.514227\pi\) | ||||
−0.0446820 | + | 0.999001i | \(0.514227\pi\) | |||||||
\(648\) | 14.5049 | − | 11.5726i | 0.569805 | − | 0.454615i | ||||
\(649\) | 28.3796 | 1.11400 | ||||||||
\(650\) | −22.8959 | − | 53.0788i | −0.898053 | − | 2.08192i | ||||
\(651\) | 24.1104 | + | 0.148926i | 0.944960 | + | 0.00583688i | ||||
\(652\) | 34.8402 | − | 36.9284i | 1.36445 | − | 1.44623i | ||||
\(653\) | 1.32701 | − | 22.7840i | 0.0519301 | − | 0.891605i | −0.867276 | − | 0.497828i | \(-0.834131\pi\) |
0.919206 | − | 0.393777i | \(-0.128832\pi\) | |||||||
\(654\) | 17.7353 | − | 23.5179i | 0.693505 | − | 0.919624i | ||||
\(655\) | −6.79445 | + | 1.61031i | −0.265481 | + | 0.0629202i | ||||
\(656\) | −6.27965 | − | 2.28561i | −0.245179 | − | 0.0892380i | ||||
\(657\) | −0.500393 | − | 3.05833i | −0.0195222 | − | 0.119317i | ||||
\(658\) | −80.2818 | + | 29.2202i | −3.12971 | + | 1.13912i | ||||
\(659\) | 26.4619 | − | 17.4043i | 1.03081 | − | 0.677973i | 0.0829136 | − | 0.996557i | \(-0.473577\pi\) |
0.947895 | + | 0.318583i | \(0.103207\pi\) | |||||||
\(660\) | 4.50138 | − | 4.71253i | 0.175216 | − | 0.183435i | ||||
\(661\) | −27.9574 | + | 3.26775i | −1.08742 | + | 0.127101i | −0.640862 | − | 0.767656i | \(-0.721423\pi\) |
−0.446554 | + | 0.894757i | \(0.647349\pi\) | |||||||
\(662\) | −20.9567 | − | 28.1498i | −0.814506 | − | 1.09407i | ||||
\(663\) | −12.5702 | + | 6.21604i | −0.488184 | + | 0.241411i | ||||
\(664\) | 0.224209 | + | 3.84951i | 0.00870098 | + | 0.149390i | ||||
\(665\) | 5.57988 | + | 4.68207i | 0.216378 | + | 0.181563i | ||||
\(666\) | 36.6056 | + | 39.7727i | 1.41844 | + | 1.54116i | ||||
\(667\) | −14.3024 | + | 12.0011i | −0.553790 | + | 0.464685i | ||||
\(668\) | −38.9263 | − | 41.2595i | −1.50610 | − | 1.59638i | ||||
\(669\) | −9.93319 | + | 2.28950i | −0.384039 | + | 0.0885173i | ||||
\(670\) | 2.89361 | + | 1.90316i | 0.111790 | + | 0.0735254i | ||||
\(671\) | −15.5743 | − | 3.69119i | −0.601241 | − | 0.142497i | ||||
\(672\) | −7.54115 | − | 44.3688i | −0.290906 | − | 1.71156i | ||||
\(673\) | 28.3192 | + | 3.31004i | 1.09162 | + | 0.127593i | 0.642805 | − | 0.766030i | \(-0.277771\pi\) |
0.448819 | + | 0.893623i | \(0.351845\pi\) | |||||||
\(674\) | −19.1901 | − | 33.2382i | −0.739175 | − | 1.28029i | ||||
\(675\) | −24.6743 | − | 3.34854i | −0.949714 | − | 0.128885i | ||||
\(676\) | −24.1962 | + | 41.9090i | −0.930622 | + | 1.61188i | ||||
\(677\) | 7.36945 | − | 9.89888i | 0.283231 | − | 0.380445i | −0.637626 | − | 0.770346i | \(-0.720083\pi\) |
0.920857 | + | 0.389901i | \(0.127491\pi\) | |||||||
\(678\) | −44.9905 | + | 16.0612i | −1.72785 | + | 0.616827i | ||||
\(679\) | 1.57798 | + | 5.27082i | 0.0605573 | + | 0.202275i | ||||
\(680\) | −1.25177 | + | 0.628661i | −0.0480031 | + | 0.0241080i | ||||
\(681\) | −2.45668 | − | 1.25285i | −0.0941401 | − | 0.0480094i | ||||
\(682\) | 6.69476 | − | 22.3621i | 0.256356 | − | 0.856288i | ||||
\(683\) | −6.23528 | − | 35.3621i | −0.238587 | − | 1.35309i | −0.834927 | − | 0.550360i | \(-0.814490\pi\) |
0.596341 | − | 0.802731i | \(-0.296621\pi\) | |||||||
\(684\) | 33.8300 | − | 16.4699i | 1.29352 | − | 0.629744i | ||||
\(685\) | 0.951233 | − | 5.39471i | 0.0363447 | − | 0.206121i | ||||
\(686\) | 0.626560 | + | 0.314670i | 0.0239222 | + | 0.0120142i | ||||
\(687\) | 42.8335 | − | 4.73852i | 1.63420 | − | 0.180786i | ||||
\(688\) | 4.46378 | − | 10.3482i | 0.170180 | − | 0.394521i | ||||
\(689\) | −2.76135 | + | 6.40153i | −0.105199 | + | 0.243879i | ||||
\(690\) | 3.42721 | − | 7.81212i | 0.130472 | − | 0.297402i | ||||
\(691\) | 36.2667 | + | 18.2138i | 1.37965 | + | 0.692886i | 0.975128 | − | 0.221642i | \(-0.0711415\pi\) |
0.404522 | + | 0.914528i | \(0.367438\pi\) | |||||||
\(692\) | 3.38492 | − | 19.1969i | 0.128675 | − | 0.729755i | ||||
\(693\) | 30.5897 | + | 7.65020i | 1.16201 | + | 0.290607i | ||||
\(694\) | −0.405877 | − | 2.30184i | −0.0154069 | − | 0.0873767i | ||||
\(695\) | −0.536649 | + | 1.79253i | −0.0203563 | + | 0.0679947i | ||||
\(696\) | −0.712245 | − | 13.6844i | −0.0269976 | − | 0.518707i | ||||
\(697\) | −6.95098 | + | 3.49091i | −0.263287 | + | 0.132228i | ||||
\(698\) | −8.43530 | − | 28.1759i | −0.319281 | − | 1.06647i | ||||
\(699\) | −7.74816 | + | 42.4085i | −0.293062 | + | 1.60404i | ||||
\(700\) | 31.2634 | − | 41.9940i | 1.18164 | − | 1.58722i | ||||
\(701\) | 12.1092 | − | 20.9738i | 0.457359 | − | 0.792169i | −0.541461 | − | 0.840726i | \(-0.682129\pi\) |
0.998820 | + | 0.0485563i | \(0.0154620\pi\) | |||||||
\(702\) | 30.3290 | + | 54.8542i | 1.14469 | + | 2.07034i | ||||
\(703\) | 17.3783 | + | 30.1000i | 0.655434 | + | 1.13524i | ||||
\(704\) | −36.1116 | − | 4.22084i | −1.36101 | − | 0.159079i | ||||
\(705\) | −6.27333 | + | 5.19826i | −0.236267 | + | 0.195778i | ||||
\(706\) | −6.88818 | − | 1.63253i | −0.259240 | − | 0.0614410i | ||||
\(707\) | 53.4634 | + | 35.1634i | 2.01070 | + | 1.32246i | ||||
\(708\) | −14.9556 | + | 48.8549i | −0.562067 | + | 1.83608i | ||||
\(709\) | 13.7603 | + | 14.5850i | 0.516777 | + | 0.547752i | 0.932232 | − | 0.361862i | \(-0.117859\pi\) |
−0.415454 | + | 0.909614i | \(0.636377\pi\) | |||||||
\(710\) | 7.19324 | − | 6.03584i | 0.269957 | − | 0.226521i | ||||
\(711\) | −6.65853 | + | 8.71705i | −0.249715 | + | 0.326915i | ||||
\(712\) | 0.131726 | + | 0.110531i | 0.00493664 | + | 0.00414233i | ||||
\(713\) | −1.05573 | − | 18.1262i | −0.0395373 | − | 0.678830i | ||||
\(714\) | −17.7843 | − | 11.8549i | −0.665561 | − | 0.443660i | ||||
\(715\) | 4.16853 | + | 5.59931i | 0.155894 | + | 0.209402i | ||||
\(716\) | 31.7737 | − | 3.71381i | 1.18744 | − | 0.138792i | ||||
\(717\) | −12.4060 | − | 42.3900i | −0.463309 | − | 1.58308i | ||||
\(718\) | −12.3416 | + | 8.11723i | −0.460586 | + | 0.302932i | ||||
\(719\) | −14.4727 | + | 5.26764i | −0.539741 | + | 0.196450i | −0.597483 | − | 0.801882i | \(-0.703832\pi\) |
0.0577413 | + | 0.998332i | \(0.481610\pi\) | |||||||
\(720\) | −0.856752 | − | 1.52720i | −0.0319293 | − | 0.0569155i | ||||
\(721\) | −14.7018 | − | 5.35101i | −0.547523 | − | 0.199282i | ||||
\(722\) | −1.42651 | + | 0.338089i | −0.0530892 | + | 0.0125824i | ||||
\(723\) | 38.6040 | + | 4.75405i | 1.43570 | + | 0.176805i | ||||
\(724\) | 0.245801 | − | 4.22024i | 0.00913513 | − | 0.156844i | ||||
\(725\) | −12.6189 | + | 13.3752i | −0.468653 | + | 0.496743i | ||||
\(726\) | −5.94817 | + | 10.1571i | −0.220757 | + | 0.376966i | ||||
\(727\) | −13.3218 | − | 30.8835i | −0.494080 | − | 1.14541i | −0.964767 | − | 0.263106i | \(-0.915253\pi\) |
0.470687 | − | 0.882300i | \(-0.344006\pi\) | |||||||
\(728\) | −41.7895 | −1.54882 | ||||||||
\(729\) | 26.9815 | + | 1.00041i | 0.999313 | + | 0.0370522i | ||||
\(730\) | 1.04567 | 0.0387019 | ||||||||
\(731\) | −5.19564 | − | 12.0449i | −0.192168 | − | 0.445495i | ||||
\(732\) | 14.5617 | − | 24.8657i | 0.538217 | − | 0.919062i | ||||
\(733\) | −10.2442 | + | 10.8582i | −0.378379 | + | 0.401058i | −0.888375 | − | 0.459118i | \(-0.848165\pi\) |
0.509996 | + | 0.860177i | \(0.329647\pi\) | |||||||
\(734\) | −0.776938 | + | 13.3395i | −0.0286773 | + | 0.492370i | ||||
\(735\) | −5.42043 | − | 0.667521i | −0.199936 | − | 0.0246219i | ||||
\(736\) | −32.9780 | + | 7.81592i | −1.21558 | + | 0.288099i | ||||
\(737\) | 9.05885 | + | 3.29715i | 0.333687 | + | 0.121452i | ||||
\(738\) | 17.0105 | + | 30.3220i | 0.626165 | + | 1.11617i | ||||
\(739\) | −24.7813 | + | 9.01966i | −0.911595 | + | 0.331794i | −0.754890 | − | 0.655852i | \(-0.772310\pi\) |
−0.156706 | + | 0.987645i | \(0.550087\pi\) | |||||||
\(740\) | −9.05488 | + | 5.95549i | −0.332864 | + | 0.218928i | ||||
\(741\) | 11.3204 | + | 38.6808i | 0.415866 | + | 1.42097i | ||||
\(742\) | −10.5541 | + | 1.23360i | −0.387452 | + | 0.0452867i | ||||
\(743\) | −20.3270 | − | 27.3039i | −0.745726 | − | 1.00168i | −0.999408 | − | 0.0343960i | \(-0.989049\pi\) |
0.253683 | − | 0.967288i | \(-0.418358\pi\) | |||||||
\(744\) | 11.0883 | + | 7.39142i | 0.406517 | + | 0.270982i | ||||
\(745\) | −0.517689 | − | 8.88837i | −0.0189667 | − | 0.325645i | ||||
\(746\) | 3.11690 | + | 2.61539i | 0.114118 | + | 0.0957563i | ||||
\(747\) | −3.40589 | + | 4.45883i | −0.124615 | + | 0.163140i | ||||
\(748\) | −9.41907 | + | 7.90354i | −0.344395 | + | 0.288982i | ||||
\(749\) | −4.12535 | − | 4.37261i | −0.150737 | − | 0.159772i | ||||
\(750\) | 5.02545 | − | 16.4164i | 0.183504 | − | 0.599444i | ||||
\(751\) | 5.87311 | + | 3.86281i | 0.214313 | + | 0.140956i | 0.652127 | − | 0.758110i | \(-0.273877\pi\) |
−0.437814 | + | 0.899066i | \(0.644247\pi\) | |||||||
\(752\) | 12.8503 | + | 3.04558i | 0.468603 | + | 0.111061i | ||||
\(753\) | 37.1287 | − | 30.7659i | 1.35305 | − | 1.12117i | ||||
\(754\) | 45.9749 | + | 5.37370i | 1.67431 | + | 0.195699i | ||||
\(755\) | 0.866720 | + | 1.50120i | 0.0315432 | + | 0.0546344i | ||||
\(756\) | −29.2900 | + | 48.6280i | −1.06527 | + | 1.76858i | ||||
\(757\) | −14.9618 | + | 25.9146i | −0.543795 | + | 0.941881i | 0.454886 | + | 0.890549i | \(0.349680\pi\) |
−0.998682 | + | 0.0513316i | \(0.983653\pi\) | |||||||
\(758\) | 35.2307 | − | 47.3230i | 1.27964 | − | 1.71885i | ||||
\(759\) | 4.26769 | − | 23.3587i | 0.154908 | − | 0.847866i | ||||
\(760\) | 1.15463 | + | 3.85674i | 0.0418830 | + | 0.139899i | ||||
\(761\) | −4.58473 | + | 2.30254i | −0.166196 | + | 0.0834670i | −0.529953 | − | 0.848027i | \(-0.677790\pi\) |
0.363756 | + | 0.931494i | \(0.381494\pi\) | |||||||
\(762\) | 1.27160 | + | 24.4314i | 0.0460653 | + | 0.885057i | ||||
\(763\) | −8.19545 | + | 27.3747i | −0.296695 | + | 0.991031i | ||||
\(764\) | −2.91304 | − | 16.5207i | −0.105390 | − | 0.597697i | ||||
\(765\) | −1.97731 | − | 0.494508i | −0.0714899 | − | 0.0178790i | ||||
\(766\) | 4.28928 | − | 24.3257i | 0.154978 | − | 0.878923i | ||||
\(767\) | −48.9068 | − | 24.5619i | −1.76592 | − | 0.886879i | ||||
\(768\) | 4.77544 | − | 10.8854i | 0.172319 | − | 0.392791i | ||||
\(769\) | 17.0449 | − | 39.5144i | 0.614653 | − | 1.42493i | −0.271912 | − | 0.962322i | \(-0.587656\pi\) |
0.886565 | − | 0.462604i | \(-0.153085\pi\) | |||||||
\(770\) | −4.21410 | + | 9.76937i | −0.151865 | + | 0.352064i | ||||
\(771\) | −11.0984 | + | 1.22778i | −0.399700 | + | 0.0442174i | ||||
\(772\) | −3.73801 | − | 1.87730i | −0.134534 | − | 0.0675654i | ||||
\(773\) | 6.47011 | − | 36.6938i | 0.232714 | − | 1.31978i | −0.614662 | − | 0.788791i | \(-0.710708\pi\) |
0.847376 | − | 0.530994i | \(-0.178181\pi\) | |||||||
\(774\) | −52.7177 | + | 25.6653i | −1.89490 | + | 0.922519i | ||||
\(775\) | −3.10528 | − | 17.6109i | −0.111545 | − | 0.632602i | ||||
\(776\) | −0.872149 | + | 2.91318i | −0.0313083 | + | 0.104577i | ||||
\(777\) | −46.7143 | − | 23.8233i | −1.67587 | − | 0.854654i | ||||
\(778\) | 7.45645 | − | 3.74477i | 0.267327 | − | 0.134257i | ||||
\(779\) | 6.41160 | + | 21.4162i | 0.229719 | + | 0.767316i | ||||
\(780\) | −11.8358 | + | 4.22529i | −0.423791 | + | 0.151290i | ||||
\(781\) | 15.6080 | − | 20.9652i | 0.558498 | − | 0.750193i | ||||
\(782\) | −8.04771 | + | 13.9390i | −0.287785 | + | 0.498459i | ||||
\(783\) | 12.2009 | − | 15.7700i | 0.436026 | − | 0.563574i | ||||
\(784\) | 4.42636 | + | 7.66667i | 0.158084 | + | 0.273810i | ||||
\(785\) | −3.49297 | − | 0.408270i | −0.124670 | − | 0.0145718i | ||||
\(786\) | −9.86722 | − | 58.0544i | −0.351952 | − | 2.07073i | ||||
\(787\) | 51.9644 | + | 12.3158i | 1.85233 | + | 0.439010i | 0.996884 | − | 0.0788808i | \(-0.0251346\pi\) |
0.855447 | + | 0.517891i | \(0.173283\pi\) | |||||||
\(788\) | −16.2759 | − | 10.7049i | −0.579806 | − | 0.381345i | ||||
\(789\) | 33.3324 | − | 7.68280i | 1.18667 | − | 0.273515i | ||||
\(790\) | −2.53994 | − | 2.69218i | −0.0903671 | − | 0.0957836i | ||||
\(791\) | 35.5012 | − | 29.7890i | 1.26228 | − | 1.05918i | ||||
\(792\) | 11.8021 | + | 12.8232i | 0.419368 | + | 0.455652i | ||||
\(793\) | 23.6447 | + | 19.8403i | 0.839648 | + | 0.704549i | ||||
\(794\) | −3.09799 | − | 53.1904i | −0.109944 | − | 1.88766i | ||||
\(795\) | −0.908320 | + | 0.449172i | −0.0322148 | + | 0.0159305i | ||||
\(796\) | −5.41321 | − | 7.27121i | −0.191866 | − | 0.257721i | ||||
\(797\) | −4.66252 | + | 0.544970i | −0.165155 | + | 0.0193038i | −0.198268 | − | 0.980148i | \(-0.563532\pi\) |
0.0331136 | + | 0.999452i | \(0.489458\pi\) | |||||||
\(798\) | −42.4299 | + | 44.4201i | −1.50200 | + | 1.57246i | ||||
\(799\) | 12.8428 | − | 8.44682i | 0.454344 | − | 0.298827i | ||||
\(800\) | −31.3665 | + | 11.4165i | −1.10897 | + | 0.403633i | ||||
\(801\) | 0.0404010 | + | 0.246925i | 0.00142750 | + | 0.00872468i | ||||
\(802\) | −7.55822 | − | 2.75097i | −0.266890 | − | 0.0971400i | ||||
\(803\) | 2.83213 | − | 0.671227i | 0.0999437 | − | 0.0236871i | ||||
\(804\) | −10.4498 | + | 13.8571i | −0.368538 | + | 0.488701i | ||||
\(805\) | −0.481197 | + | 8.26183i | −0.0169600 | + | 0.291191i | ||||
\(806\) | −30.8910 | + | 32.7425i | −1.08809 | + | 1.15331i | ||||
\(807\) | 7.92721 | + | 0.0489652i | 0.279051 | + | 0.00172366i | ||||
\(808\) | 14.0084 | + | 32.4751i | 0.492814 | + | 1.14247i | ||||
\(809\) | 24.5175 | 0.861989 | 0.430995 | − | 0.902354i | \(-0.358163\pi\) | ||||
0.430995 | + | 0.902354i | \(0.358163\pi\) | |||||||
\(810\) | −1.80317 | + | 8.93015i | −0.0633568 | + | 0.313774i | ||||
\(811\) | −12.4170 | −0.436019 | −0.218010 | − | 0.975947i | \(-0.569956\pi\) | ||||
−0.218010 | + | 0.975947i | \(0.569956\pi\) | |||||||
\(812\) | 16.6043 | + | 38.4931i | 0.582696 | + | 1.35084i | ||||
\(813\) | 9.11990 | + | 16.0239i | 0.319849 | + | 0.561983i | ||||
\(814\) | −34.8389 | + | 36.9271i | −1.22110 | + | 1.29429i | ||||
\(815\) | −0.459588 | + | 7.89083i | −0.0160987 | + | 0.276404i | ||||
\(816\) | 1.28983 | + | 3.04169i | 0.0451532 | + | 0.106481i | ||||
\(817\) | −36.6847 | + | 8.69444i | −1.28344 | + | 0.304180i | ||||
\(818\) | 53.6012 | + | 19.5092i | 1.87412 | + | 0.682124i | ||||
\(819\) | −46.0943 | − | 39.6583i | −1.61067 | − | 1.38577i | ||||
\(820\) | −6.55050 | + | 2.38419i | −0.228753 | + | 0.0832594i | ||||
\(821\) | −21.5618 | + | 14.1814i | −0.752512 | + | 0.494935i | −0.866888 | − | 0.498503i | \(-0.833883\pi\) |
0.114376 | + | 0.993438i | \(0.463513\pi\) | |||||||
\(822\) | 44.8852 | + | 10.9312i | 1.56555 | + | 0.381271i | ||||
\(823\) | 18.8978 | − | 2.20884i | 0.658738 | − | 0.0769954i | 0.219845 | − | 0.975535i | \(-0.429445\pi\) |
0.438893 | + | 0.898539i | \(0.355371\pi\) | |||||||
\(824\) | −5.16373 | − | 6.93609i | −0.179887 | − | 0.241630i | ||||
\(825\) | 1.50399 | − | 23.3382i | 0.0523623 | − | 0.812532i | ||||
\(826\) | −4.85008 | − | 83.2727i | −0.168756 | − | 2.89743i | ||||
\(827\) | 21.1068 | + | 17.7107i | 0.733954 | + | 0.615861i | 0.931207 | − | 0.364492i | \(-0.118757\pi\) |
−0.197252 | + | 0.980353i | \(0.563202\pi\) | |||||||
\(828\) | 37.9624 | + | 19.6564i | 1.31929 | + | 0.683107i | ||||
\(829\) | −25.4737 | + | 21.3750i | −0.884739 | + | 0.742384i | −0.967148 | − | 0.254214i | \(-0.918183\pi\) |
0.0824089 | + | 0.996599i | \(0.473739\pi\) | |||||||
\(830\) | −1.29920 | − | 1.37707i | −0.0450959 | − | 0.0477988i | ||||
\(831\) | −1.03832 | − | 1.11426i | −0.0360188 | − | 0.0386532i | ||||
\(832\) | 58.5782 | + | 38.5275i | 2.03083 | + | 1.33570i | ||||
\(833\) | 10.0264 | + | 2.37631i | 0.347395 | + | 0.0823341i | ||||
\(834\) | −14.7947 | − | 5.48854i | −0.512297 | − | 0.190052i | ||||
\(835\) | 8.77151 | + | 1.02524i | 0.303551 | + | 0.0354800i | ||||
\(836\) | 17.6693 | + | 30.6042i | 0.611106 | + | 1.05847i | ||||
\(837\) | 5.21607 | + | 18.6756i | 0.180294 | + | 0.645525i | ||||
\(838\) | −1.87693 | + | 3.25093i | −0.0648374 | + | 0.112302i | ||||
\(839\) | −19.8818 | + | 26.7059i | −0.686397 | + | 0.921991i | −0.999617 | − | 0.0276899i | \(-0.991185\pi\) |
0.313220 | + | 0.949681i | \(0.398592\pi\) | |||||||
\(840\) | −4.62872 | − | 3.93293i | −0.159706 | − | 0.135699i | ||||
\(841\) | 4.09431 | + | 13.6760i | 0.141183 | + | 0.471585i | ||||
\(842\) | −45.1416 | + | 22.6709i | −1.55568 | + | 0.781292i | ||||
\(843\) | 36.1198 | − | 23.4381i | 1.24403 | − | 0.807250i | ||||
\(844\) | 6.85852 | − | 22.9090i | 0.236080 | − | 0.788562i | ||||
\(845\) | −1.30828 | − | 7.41964i | −0.0450063 | − | 0.255243i | ||||
\(846\) | −40.3454 | − | 55.6147i | −1.38711 | − | 1.91207i | ||||
\(847\) | 1.98285 | − | 11.2453i | 0.0681317 | − | 0.386394i | ||||
\(848\) | 1.46783 | + | 0.737173i | 0.0504055 | + | 0.0253146i | ||||
\(849\) | −6.27542 | − | 8.53897i | −0.215372 | − | 0.293057i | ||||
\(850\) | −6.27876 | + | 14.5558i | −0.215360 | + | 0.499260i | ||||
\(851\) | −15.6408 | + | 36.2596i | −0.536161 | + | 1.24296i | ||||
\(852\) | 27.8659 | + | 37.9172i | 0.954671 | + | 1.29902i | ||||
\(853\) | −20.8051 | − | 10.4487i | −0.712354 | − | 0.357758i | 0.0554335 | − | 0.998462i | \(-0.482346\pi\) |
−0.767787 | + | 0.640705i | \(0.778642\pi\) | |||||||
\(854\) | −8.16918 | + | 46.3297i | −0.279544 | + | 1.58537i | ||||
\(855\) | −2.38648 | + | 5.34978i | −0.0816159 | + | 0.182959i | ||||
\(856\) | −0.576957 | − | 3.27208i | −0.0197200 | − | 0.111838i | ||||
\(857\) | −13.5425 | + | 45.2352i | −0.462604 | + | 1.54521i | 0.335115 | + | 0.942177i | \(0.391225\pi\) |
−0.797720 | + | 0.603029i | \(0.793960\pi\) | |||||||
\(858\) | −49.3838 | + | 32.0450i | −1.68593 | + | 1.09400i | ||||
\(859\) | −0.795842 | + | 0.399687i | −0.0271538 | + | 0.0136371i | −0.462324 | − | 0.886711i | \(-0.652984\pi\) |
0.435170 | + | 0.900348i | \(0.356688\pi\) | |||||||
\(860\) | −3.37165 | − | 11.2621i | −0.114972 | − | 0.384034i | ||||
\(861\) | −25.7030 | − | 21.8393i | −0.875955 | − | 0.744282i | ||||
\(862\) | −25.2836 | + | 33.9618i | −0.861163 | + | 1.15674i | ||||
\(863\) | 24.5367 | − | 42.4989i | 0.835241 | − | 1.44668i | −0.0585937 | − | 0.998282i | \(-0.518662\pi\) |
0.893834 | − | 0.448397i | \(-0.148005\pi\) | |||||||
\(864\) | 32.6395 | − | 15.6417i | 1.11042 | − | 0.532142i | ||||
\(865\) | 1.51741 | + | 2.62823i | 0.0515936 | + | 0.0893627i | ||||
\(866\) | 14.5408 | + | 1.69958i | 0.494117 | + | 0.0577540i | ||||
\(867\) | −24.0009 | − | 8.90389i | −0.815114 | − | 0.302392i | ||||
\(868\) | −39.6696 | − | 9.40186i | −1.34647 | − | 0.319120i | ||||
\(869\) | −8.60744 | − | 5.66120i | −0.291987 | − | 0.192043i | ||||
\(870\) | 4.58657 | + | 4.92204i | 0.155499 | + | 0.166873i | ||||
\(871\) | −12.7576 | − | 13.5222i | −0.432273 | − | 0.458183i | ||||
\(872\) | −12.0985 | + | 10.1519i | −0.409708 | + | 0.343786i | ||||
\(873\) | −3.72660 | + | 2.38560i | −0.126126 | + | 0.0807404i | ||||
\(874\) | 35.4366 | + | 29.7348i | 1.19866 | + | 1.00580i | ||||
\(875\) | 0.968416 | + | 16.6271i | 0.0327384 | + | 0.562097i | ||||
\(876\) | −0.336986 | + | 5.22918i | −0.0113857 | + | 0.176678i | ||||
\(877\) | −24.0677 | − | 32.3286i | −0.812709 | − | 1.09166i | −0.994124 | − | 0.108251i | \(-0.965475\pi\) |
0.181415 | − | 0.983407i | \(-0.441932\pi\) | |||||||
\(878\) | 75.0397 | − | 8.77088i | 2.53247 | − | 0.296003i | ||||
\(879\) | −6.08061 | − | 1.48086i | −0.205094 | − | 0.0499481i | ||||
\(880\) | 1.37408 | − | 0.903747i | 0.0463202 | − | 0.0304653i | ||||
\(881\) | −13.8333 | + | 5.03492i | −0.466057 | + | 0.169631i | −0.564365 | − | 0.825525i | \(-0.690879\pi\) |
0.0983084 | + | 0.995156i | \(0.468657\pi\) | |||||||
\(882\) | 8.55751 | − | 45.2555i | 0.288146 | − | 1.52383i | ||||
\(883\) | 8.87308 | + | 3.22954i | 0.298603 | + | 0.108683i | 0.486977 | − | 0.873415i | \(-0.338100\pi\) |
−0.188374 | + | 0.982097i | \(0.560322\pi\) | |||||||
\(884\) | 23.0723 | − | 5.46823i | 0.776004 | − | 0.183916i | ||||
\(885\) | −3.10545 | − | 7.32330i | −0.104389 | − | 0.246170i | ||||
\(886\) | 1.72773 | − | 29.6639i | 0.0580441 | − | 0.996579i | ||||
\(887\) | 34.9531 | − | 37.0481i | 1.17361 | − | 1.24395i | 0.209688 | − | 0.977768i | \(-0.432755\pi\) |
0.963922 | − | 0.266186i | \(-0.0857635\pi\) | |||||||
\(888\) | −14.3360 | − | 25.1887i | −0.481085 | − | 0.845279i | ||||
\(889\) | −9.40025 | − | 21.7922i | −0.315274 | − | 0.730888i | ||||
\(890\) | −0.0844257 | −0.00282996 | ||||||||
\(891\) | 0.848603 | + | 25.3443i | 0.0284293 | + | 0.849066i | ||||
\(892\) | 17.2362 | 0.577111 | ||||||||
\(893\) | −17.4983 | − | 40.5657i | −0.585559 | − | 1.35748i | ||||
\(894\) | 75.0840 | + | 0.463784i | 2.51119 | + | 0.0155112i | ||||
\(895\) | −3.41779 | + | 3.62265i | −0.114244 | + | 0.121092i | ||||
\(896\) | −3.19185 | + | 54.8020i | −0.106632 | + | 1.83081i | ||||
\(897\) | −27.5709 | + | 36.5605i | −0.920567 | + | 1.22072i | ||||
\(898\) | 68.9086 | − | 16.3316i | 2.29951 | − | 0.544994i | ||||
\(899\) | 13.4557 | + | 4.89749i | 0.448774 | + | 0.163340i | ||||
\(900\) | 39.3836 | + | 14.8880i | 1.31279 | + | 0.496266i | ||||
\(901\) | 1.79655 | − | 0.653892i | 0.0598518 | − | 0.0217843i | ||||
\(902\) | −27.2818 | + | 17.9436i | −0.908386 | + | 0.597455i | ||||
\(903\) | 39.2887 | − | 41.1316i | 1.30745 | − | 1.36877i | ||||
\(904\) | 25.4409 | − | 2.97361i | 0.846150 | − | 0.0989008i | ||||
\(905\) | 0.393022 | + | 0.527921i | 0.0130645 | + | 0.0175487i | ||||
\(906\) | −13.1040 | + | 6.48002i | −0.435350 | + | 0.215284i | ||||
\(907\) | 2.00946 | + | 34.5011i | 0.0667231 | + | 1.14559i | 0.850995 | + | 0.525174i | \(0.176000\pi\) |
−0.784272 | + | 0.620417i | \(0.786963\pi\) | |||||||
\(908\) | 3.57202 | + | 2.99728i | 0.118542 | + | 0.0994682i | ||||
\(909\) | −15.3675 | + | 49.1145i | −0.509708 | + | 1.62902i | ||||
\(910\) | 15.7173 | − | 13.1884i | 0.521025 | − | 0.437192i | ||||
\(911\) | 24.5887 | + | 26.0625i | 0.814658 | + | 0.863488i | 0.992709 | − | 0.120534i | \(-0.0384606\pi\) |
−0.178051 | + | 0.984021i | \(0.556979\pi\) | |||||||
\(912\) | 9.25292 | − | 2.13271i | 0.306395 | − | 0.0706210i | ||||
\(913\) | −4.40277 | − | 2.89575i | −0.145710 | − | 0.0958352i | ||||
\(914\) | 53.7198 | + | 12.7318i | 1.77689 | + | 0.421132i | ||||
\(915\) | 0.751727 | + | 4.42283i | 0.0248513 | + | 0.146214i | ||||
\(916\) | −72.3754 | − | 8.45947i | −2.39135 | − | 0.279509i | ||||
\(917\) | 28.5634 | + | 49.4733i | 0.943247 | + | 1.63375i | ||||
\(918\) | 5.23410 | − | 16.3726i | 0.172751 | − | 0.540376i | ||||
\(919\) | 10.0472 | − | 17.4023i | 0.331428 | − | 0.574050i | −0.651364 | − | 0.758765i | \(-0.725803\pi\) |
0.982792 | + | 0.184715i | \(0.0591363\pi\) | |||||||
\(920\) | −2.73144 | + | 3.66895i | −0.0900527 | + | 0.120962i | ||||
\(921\) | 25.1578 | − | 8.98110i | 0.828977 | − | 0.295937i | ||||
\(922\) | 19.6909 | + | 65.7722i | 0.648486 | + | 2.16609i | ||||
\(923\) | −45.0422 | + | 22.6210i | −1.48258 | + | 0.744581i | ||||
\(924\) | −47.4967 | − | 24.2222i | −1.56253 | − | 0.796853i | ||||
\(925\) | −11.1545 | + | 37.2587i | −0.366758 | + | 1.22506i | ||||
\(926\) | −3.92645 | − | 22.2680i | −0.129031 | − | 0.731772i | ||||
\(927\) | 0.886706 | − | 12.5510i | 0.0291232 | − | 0.412228i | ||||
\(928\) | 4.64133 | − | 26.3223i | 0.152359 | − | 0.864071i | ||||
\(929\) | 16.6981 | + | 8.38609i | 0.547846 | + | 0.275139i | 0.701118 | − | 0.713045i | \(-0.252685\pi\) |
−0.153272 | + | 0.988184i | \(0.548981\pi\) | |||||||
\(930\) | −6.50306 | + | 0.719411i | −0.213244 | + | 0.0235904i | ||||
\(931\) | 11.7298 | − | 27.1928i | 0.384429 | − | 0.891208i | ||||
\(932\) | 28.8721 | − | 66.9331i | 0.945738 | − | 2.19247i | ||||
\(933\) | −13.0574 | + | 29.7635i | −0.427479 | + | 0.974415i | ||||
\(934\) | −43.7339 | − | 21.9640i | −1.43102 | − | 0.718685i | ||||
\(935\) | 0.332414 | − | 1.88521i | 0.0108711 | − | 0.0616531i | ||||
\(936\) | −9.24041 | − | 32.3127i | −0.302032 | − | 1.05617i | ||||
\(937\) | −4.15733 | − | 23.5774i | −0.135814 | − | 0.770240i | −0.974289 | − | 0.225300i | \(-0.927664\pi\) |
0.838475 | − | 0.544939i | \(-0.183447\pi\) | |||||||
\(938\) | 8.12649 | − | 27.1444i | 0.265339 | − | 0.886295i | ||||
\(939\) | −0.875081 | − | 16.8130i | −0.0285572 | − | 0.548673i | ||||
\(940\) | 12.3106 | − | 6.18261i | 0.401527 | − | 0.201655i | ||||
\(941\) | −13.2156 | − | 44.1433i | −0.430818 | − | 1.43903i | −0.847897 | − | 0.530161i | \(-0.822131\pi\) |
0.417079 | − | 0.908870i | \(-0.363054\pi\) | |||||||
\(942\) | 5.33034 | − | 29.1749i | 0.173672 | − | 0.950570i | ||||
\(943\) | −15.1675 | + | 20.3735i | −0.493921 | + | 0.663451i | ||||
\(944\) | −6.44701 | + | 11.1666i | −0.209832 | + | 0.363440i | ||||
\(945\) | −1.37317 | − | 8.73073i | −0.0446694 | − | 0.284011i | ||||
\(946\) | −27.5343 | − | 47.6908i | −0.895216 | − | 1.55056i | ||||
\(947\) | −15.7438 | − | 1.84018i | −0.511603 | − | 0.0597978i | −0.143625 | − | 0.989632i | \(-0.545876\pi\) |
−0.367978 | + | 0.929834i | \(0.619950\pi\) | |||||||
\(948\) | 14.2816 | − | 11.8342i | 0.463846 | − | 0.384356i | ||||
\(949\) | −5.46156 | − | 1.29441i | −0.177290 | − | 0.0420184i | ||||
\(950\) | 38.0651 | + | 25.0358i | 1.23500 | + | 0.812269i | ||||
\(951\) | 8.22244 | − | 26.8599i | 0.266631 | − | 0.870992i | ||||
\(952\) | 7.86430 | + | 8.33567i | 0.254883 | + | 0.270161i | ||||
\(953\) | −17.6210 | + | 14.7857i | −0.570799 | + | 0.478957i | −0.881911 | − | 0.471416i | \(-0.843743\pi\) |
0.311112 | + | 0.950373i | \(0.399299\pi\) | |||||||
\(954\) | −3.28754 | − | 7.88790i | −0.106438 | − | 0.255380i | ||||
\(955\) | 2.00072 | + | 1.67880i | 0.0647416 | + | 0.0543247i | ||||
\(956\) | 4.34243 | + | 74.5566i | 0.140444 | + | 2.41133i | ||||
\(957\) | 15.5820 | + | 10.3869i | 0.503694 | + | 0.335760i | ||||
\(958\) | −34.1844 | − | 45.9177i | −1.10445 | − | 1.48353i | ||||
\(959\) | −44.5132 | + | 5.20285i | −1.43741 | + | 0.168009i | ||||
\(960\) | 2.86235 | + | 9.78037i | 0.0923818 | + | 0.315660i | ||||
\(961\) | 14.2656 | − | 9.38262i | 0.460180 | − | 0.302665i | ||||
\(962\) | 91.9977 | − | 33.4844i | 2.96612 | − | 1.07958i | ||||
\(963\) | 2.46882 | − | 4.15668i | 0.0795567 | − | 0.133947i | ||||
\(964\) | −61.8016 | − | 22.4939i | −1.99050 | − | 0.724481i | ||||
\(965\) | 0.633678 | − | 0.150184i | 0.0203988 | − | 0.00483461i | ||||
\(966\) | −69.2694 | − | 8.53046i | −2.22871 | − | 0.274463i | ||||
\(967\) | −3.38241 | + | 58.0738i | −0.108771 | + | 1.86753i | 0.298751 | + | 0.954331i | \(0.403430\pi\) |
−0.407522 | + | 0.913195i | \(0.633607\pi\) | |||||||
\(968\) | 4.33099 | − | 4.59058i | 0.139203 | − | 0.147547i | ||||
\(969\) | 5.58521 | − | 9.53733i | 0.179423 | − | 0.306383i | ||||
\(970\) | −0.591353 | − | 1.37091i | −0.0189872 | − | 0.0440173i | ||||
\(971\) | −57.4561 | −1.84385 | −0.921927 | − | 0.387364i | \(-0.873386\pi\) | ||||
−0.921927 | + | 0.387364i | \(0.873386\pi\) | |||||||
\(972\) | −44.0769 | − | 11.8952i | −1.41377 | − | 0.381539i | ||||
\(973\) | 15.3082 | 0.490760 | ||||||||
\(974\) | 27.0921 | + | 62.8065i | 0.868086 | + | 2.01245i | ||||
\(975\) | −22.7905 | + | 38.9172i | −0.729881 | + | 1.24635i | ||||
\(976\) | 4.99040 | − | 5.28952i | 0.159739 | − | 0.169313i | ||||
\(977\) | 2.89587 | − | 49.7202i | 0.0926471 | − | 1.59069i | −0.557039 | − | 0.830486i | \(-0.688063\pi\) |
0.649686 | − | 0.760203i | \(-0.274900\pi\) | |||||||
\(978\) | −66.1588 | − | 8.14739i | −2.11553 | − | 0.260525i | ||||
\(979\) | −0.228662 | + | 0.0541940i | −0.00730808 | + | 0.00173205i | ||||
\(980\) | 8.67762 | + | 3.15840i | 0.277196 | + | 0.100891i | ||||
\(981\) | −22.9789 | − | 0.283886i | −0.733661 | − | 0.00906379i | ||||
\(982\) | 81.3004 | − | 29.5909i | 2.59440 | − | 0.944285i | ||||
\(983\) | −5.38516 | + | 3.54188i | −0.171760 | + | 0.112968i | −0.632478 | − | 0.774578i | \(-0.717962\pi\) |
0.460718 | + | 0.887546i | \(0.347592\pi\) | |||||||
\(984\) | −5.23607 | − | 17.8912i | −0.166920 | − | 0.570350i | ||||
\(985\) | 3.01241 | − | 0.352100i | 0.0959834 | − | 0.0112188i | ||||
\(986\) | −7.58006 | − | 10.1818i | −0.241398 | − | 0.324254i | ||||
\(987\) | 55.4613 | + | 36.9702i | 1.76535 | + | 1.17678i | ||||
\(988\) | −3.96245 | − | 68.0327i | −0.126062 | − | 2.16441i | ||||
\(989\) | −32.8131 | − | 27.5335i | −1.04340 | − | 0.875514i | ||||
\(990\) | −8.48572 | − | 1.09826i | −0.269694 | − | 0.0349050i | ||||
\(991\) | 15.4066 | − | 12.9277i | 0.489408 | − | 0.410662i | −0.364406 | − | 0.931240i | \(-0.618728\pi\) |
0.853814 | + | 0.520578i | \(0.174284\pi\) | |||||||
\(992\) | 17.8376 | + | 18.9067i | 0.566344 | + | 0.600289i | ||||
\(993\) | −8.01445 | + | 26.1805i | −0.254331 | + | 0.830812i | ||||
\(994\) | −64.1843 | − | 42.2147i | −2.03580 | − | 1.33897i | ||||
\(995\) | 1.37326 | + | 0.325469i | 0.0435353 | + | 0.0103181i | ||||
\(996\) | 7.30516 | − | 6.05326i | 0.231473 | − | 0.191805i | ||||
\(997\) | −7.40427 | − | 0.865435i | −0.234496 | − | 0.0274086i | −0.00196661 | − | 0.999998i | \(-0.500626\pi\) |
−0.232529 | + | 0.972589i | \(0.574700\pi\) | |||||||
\(998\) | −23.4749 | − | 40.6597i | −0.743085 | − | 1.28706i | ||||
\(999\) | 8.09135 | − | 41.3884i | 0.255999 | − | 1.30947i |
(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 | 81.2.g.a.31.8 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.145.1 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.190.1 | 144 | |||
9.4 | even | 3 | 729.2.g.c.433.1 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.433.8 | 144 | |||
9.7 | even | 3 | 729.2.g.d.190.8 | 144 | |||
81.7 | even | 27 | 729.2.g.c.298.1 | 144 | |||
81.14 | odd | 54 | 6561.2.a.d.1.6 | 72 | |||
81.20 | odd | 54 | 729.2.g.a.541.1 | 144 | |||
81.34 | even | 27 | inner | 81.2.g.a.34.8 | yes | 144 | |
81.47 | odd | 54 | 243.2.g.a.181.1 | 144 | |||
81.61 | even | 27 | 729.2.g.d.541.8 | 144 | |||
81.67 | even | 27 | 6561.2.a.c.1.67 | 72 | |||
81.74 | odd | 54 | 729.2.g.b.298.8 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.31.8 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.34.8 | yes | 144 | 81.34 | even | 27 | inner | |
243.2.g.a.145.1 | 144 | 3.2 | odd | 2 | |||
243.2.g.a.181.1 | 144 | 81.47 | odd | 54 | |||
729.2.g.a.190.1 | 144 | 9.2 | odd | 6 | |||
729.2.g.a.541.1 | 144 | 81.20 | odd | 54 | |||
729.2.g.b.298.8 | 144 | 81.74 | odd | 54 | |||
729.2.g.b.433.8 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.298.1 | 144 | 81.7 | even | 27 | |||
729.2.g.c.433.1 | 144 | 9.4 | even | 3 | |||
729.2.g.d.190.8 | 144 | 9.7 | even | 3 | |||
729.2.g.d.541.8 | 144 | 81.61 | even | 27 | |||
6561.2.a.c.1.67 | 72 | 81.67 | even | 27 | |||
6561.2.a.d.1.6 | 72 | 81.14 | odd | 54 |