Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), 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: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 11.14 | ||
Character | \(\chi\) | \(=\) | 164.11 |
Dual form | 164.2.o.b.15.14 |
$q$-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 \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.961636 | − | 1.03695i | 0.679980 | − | 0.733231i | ||||
\(3\) | 0.900558 | − | 2.17414i | 0.519938 | − | 1.25524i | −0.418003 | − | 0.908445i | \(-0.637270\pi\) |
0.937941 | − | 0.346795i | \(-0.112730\pi\) | |||||||
\(4\) | −0.150511 | − | 1.99433i | −0.0752553 | − | 0.997164i | ||||
\(5\) | −0.390234 | + | 0.765878i | −0.174518 | + | 0.342511i | −0.961653 | − | 0.274270i | \(-0.911564\pi\) |
0.787135 | + | 0.616781i | \(0.211564\pi\) | |||||||
\(6\) | −1.38845 | − | 3.02456i | −0.566834 | − | 1.23477i | ||||
\(7\) | 0.876658 | + | 3.65154i | 0.331346 | + | 1.38015i | 0.850725 | + | 0.525611i | \(0.176163\pi\) |
−0.519380 | + | 0.854544i | \(0.673837\pi\) | |||||||
\(8\) | −2.21275 | − | 1.76175i | −0.782324 | − | 0.622872i | ||||
\(9\) | −1.79456 | − | 1.79456i | −0.598187 | − | 0.598187i | ||||
\(10\) | 0.418910 | + | 1.14115i | 0.132471 | + | 0.360863i | ||||
\(11\) | −1.26843 | + | 1.48514i | −0.382446 | + | 0.447787i | −0.917920 | − | 0.396765i | \(-0.870133\pi\) |
0.535474 | + | 0.844552i | \(0.320133\pi\) | |||||||
\(12\) | −4.47149 | − | 1.46878i | −1.29081 | − | 0.424000i | ||||
\(13\) | 1.79670 | + | 2.93195i | 0.498316 | + | 0.813177i | 0.998612 | − | 0.0526774i | \(-0.0167755\pi\) |
−0.500296 | + | 0.865854i | \(0.666775\pi\) | |||||||
\(14\) | 4.62948 | + | 2.60241i | 1.23728 | + | 0.695524i | ||||
\(15\) | 1.31370 | + | 1.53814i | 0.339195 | + | 0.397146i | ||||
\(16\) | −3.95469 | + | 0.600335i | −0.988673 | + | 0.150084i | ||||
\(17\) | −0.302571 | − | 3.84453i | −0.0733843 | − | 0.932435i | −0.917876 | − | 0.396867i | \(-0.870097\pi\) |
0.844492 | − | 0.535568i | \(-0.179903\pi\) | |||||||
\(18\) | −3.58657 | + | 0.135146i | −0.845364 | + | 0.0318542i | ||||
\(19\) | −5.10695 | − | 3.12954i | −1.17161 | − | 0.717966i | −0.206155 | − | 0.978519i | \(-0.566095\pi\) |
−0.965459 | + | 0.260553i | \(0.916095\pi\) | |||||||
\(20\) | 1.58615 | + | 0.662983i | 0.354673 | + | 0.148247i | ||||
\(21\) | 8.72845 | + | 1.38245i | 1.90470 | + | 0.301676i | ||||
\(22\) | 0.320241 | + | 2.74346i | 0.0682756 | + | 0.584907i | ||||
\(23\) | 1.43017 | + | 1.03908i | 0.298210 | + | 0.216663i | 0.726821 | − | 0.686827i | \(-0.240997\pi\) |
−0.428611 | + | 0.903489i | \(0.640997\pi\) | |||||||
\(24\) | −5.82299 | + | 3.22426i | −1.18861 | + | 0.658150i | ||||
\(25\) | 2.50464 | + | 3.44734i | 0.500928 | + | 0.689468i | ||||
\(26\) | 4.76805 | + | 0.956390i | 0.935091 | + | 0.187563i | ||||
\(27\) | 1.00469 | − | 0.416157i | 0.193353 | − | 0.0800894i | ||||
\(28\) | 7.15043 | − | 2.29794i | 1.35130 | − | 0.434270i | ||||
\(29\) | 0.535913 | − | 6.80942i | 0.0995166 | − | 1.26448i | −0.721032 | − | 0.692902i | \(-0.756332\pi\) |
0.820549 | − | 0.571577i | \(-0.193668\pi\) | |||||||
\(30\) | 2.85827 | + | 0.116901i | 0.521846 | + | 0.0213432i | ||||
\(31\) | −0.437955 | + | 1.34789i | −0.0786590 | + | 0.242088i | −0.982652 | − | 0.185460i | \(-0.940622\pi\) |
0.903993 | + | 0.427548i | \(0.140622\pi\) | |||||||
\(32\) | −3.18046 | + | 4.67810i | −0.562232 | + | 0.826980i | ||||
\(33\) | 2.08661 | + | 4.09520i | 0.363232 | + | 0.712883i | ||||
\(34\) | −4.27753 | − | 3.38329i | −0.733590 | − | 0.580230i | ||||
\(35\) | −3.13874 | − | 0.753545i | −0.530544 | − | 0.127372i | ||||
\(36\) | −3.30884 | + | 3.84904i | −0.551474 | + | 0.641507i | ||||
\(37\) | −2.67942 | − | 8.24640i | −0.440494 | − | 1.35570i | −0.887351 | − | 0.461095i | \(-0.847457\pi\) |
0.446857 | − | 0.894605i | \(-0.352543\pi\) | |||||||
\(38\) | −8.15619 | + | 2.28614i | −1.32311 | + | 0.370861i | ||||
\(39\) | 7.99251 | − | 1.26589i | 1.27983 | − | 0.202704i | ||||
\(40\) | 2.21277 | − | 1.00720i | 0.349870 | − | 0.159252i | ||||
\(41\) | −5.03089 | + | 3.96108i | −0.785693 | + | 0.618617i | ||||
\(42\) | 9.82712 | − | 7.72151i | 1.51636 | − | 1.19145i | ||||
\(43\) | 1.17766 | + | 7.43544i | 0.179591 | + | 1.13389i | 0.898559 | + | 0.438852i | \(0.144615\pi\) |
−0.718968 | + | 0.695043i | \(0.755385\pi\) | |||||||
\(44\) | 3.15277 | + | 2.30614i | 0.475298 | + | 0.347663i | ||||
\(45\) | 2.07471 | − | 0.674115i | 0.309280 | − | 0.100491i | ||||
\(46\) | 2.45277 | − | 0.483790i | 0.361641 | − | 0.0713310i | ||||
\(47\) | −1.70845 | + | 7.11622i | −0.249204 | + | 1.03801i | 0.697674 | + | 0.716415i | \(0.254218\pi\) |
−0.946878 | + | 0.321593i | \(0.895782\pi\) | |||||||
\(48\) | −2.25622 | + | 9.13869i | −0.325657 | + | 1.31906i | ||||
\(49\) | −6.32820 | + | 3.22438i | −0.904029 | + | 0.460626i | ||||
\(50\) | 5.98326 | + | 0.717915i | 0.846160 | + | 0.101528i | ||||
\(51\) | −8.63103 | − | 2.80439i | −1.20859 | − | 0.392693i | ||||
\(52\) | 5.57685 | − | 4.02450i | 0.773370 | − | 0.558098i | ||||
\(53\) | −3.84688 | − | 0.302756i | −0.528410 | − | 0.0415868i | −0.188551 | − | 0.982063i | \(-0.560379\pi\) |
−0.339858 | + | 0.940477i | \(0.610379\pi\) | |||||||
\(54\) | 0.534616 | − | 1.44200i | 0.0727520 | − | 0.196231i | ||||
\(55\) | −0.642452 | − | 1.55102i | −0.0866282 | − | 0.209139i | ||||
\(56\) | 4.49328 | − | 9.62439i | 0.600440 | − | 1.28611i | ||||
\(57\) | −11.4032 | + | 8.28489i | −1.51039 | + | 1.09736i | ||||
\(58\) | −6.54564 | − | 7.10390i | −0.859485 | − | 0.932788i | ||||
\(59\) | 7.28865 | − | 10.0320i | 0.948901 | − | 1.30605i | −0.00311249 | − | 0.999995i | \(-0.500991\pi\) |
0.952014 | − | 0.306055i | \(-0.0990093\pi\) | |||||||
\(60\) | 2.86983 | − | 2.85145i | 0.370494 | − | 0.368121i | ||||
\(61\) | −1.26968 | + | 8.01646i | −0.162566 | + | 1.02640i | 0.762608 | + | 0.646861i | \(0.223918\pi\) |
−0.925174 | + | 0.379542i | \(0.876082\pi\) | |||||||
\(62\) | 0.976531 | + | 1.75031i | 0.124020 | + | 0.222290i | ||||
\(63\) | 4.97970 | − | 8.12613i | 0.627383 | − | 1.02380i | ||||
\(64\) | 1.79249 | + | 7.79660i | 0.224061 | + | 0.974575i | ||||
\(65\) | −2.94665 | + | 0.231906i | −0.365487 | + | 0.0287645i | ||||
\(66\) | 6.25306 | + | 1.77440i | 0.769698 | + | 0.218413i | ||||
\(67\) | −7.01810 | + | 5.99402i | −0.857397 | + | 0.732286i | −0.965096 | − | 0.261897i | \(-0.915652\pi\) |
0.107699 | + | 0.994184i | \(0.465652\pi\) | |||||||
\(68\) | −7.62172 | + | 1.18207i | −0.924269 | + | 0.143347i | ||||
\(69\) | 3.54705 | − | 2.17363i | 0.427014 | − | 0.261675i | ||||
\(70\) | −3.79971 | + | 2.53006i | −0.454152 | + | 0.302401i | ||||
\(71\) | 2.24322 | + | 1.91589i | 0.266221 | + | 0.227375i | 0.772531 | − | 0.634977i | \(-0.218991\pi\) |
−0.506309 | + | 0.862352i | \(0.668991\pi\) | |||||||
\(72\) | 0.809342 | + | 7.13247i | 0.0953819 | + | 0.840569i | ||||
\(73\) | 8.30463 | − | 8.30463i | 0.971984 | − | 0.971984i | −0.0276344 | − | 0.999618i | \(-0.508797\pi\) |
0.999618 | + | 0.0276344i | \(0.00879741\pi\) | |||||||
\(74\) | −11.1277 | − | 5.15163i | −1.29357 | − | 0.598865i | ||||
\(75\) | 9.75058 | − | 2.34091i | 1.12590 | − | 0.270305i | ||||
\(76\) | −5.47269 | + | 10.6560i | −0.627760 | + | 1.22232i | ||||
\(77\) | −6.53504 | − | 3.32977i | −0.744737 | − | 0.379462i | ||||
\(78\) | 6.37323 | − | 9.50512i | 0.721626 | − | 1.07624i | ||||
\(79\) | −1.23669 | − | 0.512252i | −0.139138 | − | 0.0576329i | 0.312028 | − | 0.950073i | \(-0.398992\pi\) |
−0.451166 | + | 0.892440i | \(0.648992\pi\) | |||||||
\(80\) | 1.08347 | − | 3.26308i | 0.121136 | − | 0.364824i | ||||
\(81\) | − | 10.1728i | − | 1.13031i | ||||||
\(82\) | −0.730460 | + | 9.02588i | −0.0806659 | + | 0.996741i | ||||
\(83\) | − | 13.0912i | − | 1.43695i | −0.695554 | − | 0.718474i | \(-0.744841\pi\) | ||
0.695554 | − | 0.718474i | \(-0.255159\pi\) | |||||||
\(84\) | 1.44334 | − | 17.6155i | 0.157481 | − | 1.92201i | ||||
\(85\) | 3.06251 | + | 1.26853i | 0.332176 | + | 0.137592i | ||||
\(86\) | 8.84263 | + | 5.92903i | 0.953525 | + | 0.639343i | ||||
\(87\) | −14.3220 | − | 7.29743i | −1.53548 | − | 0.782367i | ||||
\(88\) | 5.42316 | − | 1.05159i | 0.578111 | − | 0.112099i | ||||
\(89\) | −6.69744 | + | 1.60791i | −0.709927 | + | 0.170438i | −0.572298 | − | 0.820045i | \(-0.693948\pi\) |
−0.137629 | + | 0.990484i | \(0.543948\pi\) | |||||||
\(90\) | 1.29610 | − | 2.79962i | 0.136621 | − | 0.295105i | ||||
\(91\) | −9.13106 | + | 9.13106i | −0.957195 | + | 0.957195i | ||||
\(92\) | 1.85701 | − | 3.00861i | 0.193606 | − | 0.313670i | ||||
\(93\) | 2.53609 | + | 2.16603i | 0.262980 | + | 0.224606i | ||||
\(94\) | 5.73622 | + | 8.61479i | 0.591646 | + | 0.888548i | ||||
\(95\) | 4.38975 | − | 2.69004i | 0.450379 | − | 0.275993i | ||||
\(96\) | 7.30666 | + | 11.1277i | 0.745733 | + | 1.13571i | ||||
\(97\) | −8.34501 | + | 7.12731i | −0.847307 | + | 0.723669i | −0.962967 | − | 0.269620i | \(-0.913102\pi\) |
0.115659 | + | 0.993289i | \(0.463102\pi\) | |||||||
\(98\) | −2.74193 | + | 9.66268i | −0.276976 | + | 0.976078i | ||||
\(99\) | 4.94145 | − | 0.388900i | 0.496634 | − | 0.0390860i | ||||
\(100\) | 6.49816 | − | 5.51394i | 0.649816 | − | 0.551394i | ||||
\(101\) | 7.52760 | − | 12.2839i | 0.749024 | − | 1.22230i | −0.220041 | − | 0.975491i | \(-0.570619\pi\) |
0.969065 | − | 0.246806i | \(-0.0793809\pi\) | |||||||
\(102\) | −11.2079 | + | 6.25310i | −1.10975 | + | 0.619149i | ||||
\(103\) | 1.80384 | − | 11.3890i | 0.177737 | − | 1.12219i | −0.723967 | − | 0.689835i | \(-0.757683\pi\) |
0.901704 | − | 0.432354i | \(-0.142317\pi\) | |||||||
\(104\) | 1.18971 | − | 9.65300i | 0.116661 | − | 0.946554i | ||||
\(105\) | −4.46493 | + | 6.14545i | −0.435732 | + | 0.599734i | ||||
\(106\) | −4.01324 | + | 3.69786i | −0.389801 | + | 0.359168i | ||||
\(107\) | 8.44274 | − | 6.13401i | 0.816191 | − | 0.592997i | −0.0994279 | − | 0.995045i | \(-0.531701\pi\) |
0.915619 | + | 0.402047i | \(0.131701\pi\) | |||||||
\(108\) | −0.981170 | − | 1.94105i | −0.0944131 | − | 0.186777i | ||||
\(109\) | 4.39210 | + | 10.6035i | 0.420687 | + | 1.01563i | 0.982145 | + | 0.188124i | \(0.0602406\pi\) |
−0.561458 | + | 0.827505i | \(0.689759\pi\) | |||||||
\(110\) | −2.22612 | − | 0.825326i | −0.212253 | − | 0.0786918i | ||||
\(111\) | −20.3418 | − | 1.60093i | −1.93076 | − | 0.151954i | ||||
\(112\) | −5.65906 | − | 13.9145i | −0.534731 | − | 1.31479i | ||||
\(113\) | −10.8124 | − | 3.51316i | −1.01715 | − | 0.330491i | −0.247449 | − | 0.968901i | \(-0.579592\pi\) |
−0.769696 | + | 0.638410i | \(0.779592\pi\) | |||||||
\(114\) | −2.37473 | + | 19.7915i | −0.222414 | + | 1.85364i | ||||
\(115\) | −1.35391 | + | 0.689850i | −0.126252 | + | 0.0643288i | ||||
\(116\) | −13.6609 | − | 0.0438972i | −1.26838 | − | 0.00407576i | ||||
\(117\) | 2.03727 | − | 8.48585i | 0.188346 | − | 0.784517i | ||||
\(118\) | −3.39357 | − | 17.2050i | −0.312403 | − | 1.58385i | ||||
\(119\) | 13.7732 | − | 4.47519i | 1.26259 | − | 0.410240i | ||||
\(120\) | −0.197060 | − | 5.71792i | −0.0179890 | − | 0.521972i | ||||
\(121\) | 1.12405 | + | 7.09697i | 0.102186 | + | 0.645179i | ||||
\(122\) | 7.09166 | + | 9.02552i | 0.642049 | + | 0.817132i | ||||
\(123\) | 4.08134 | + | 14.5050i | 0.368002 | + | 1.30788i | ||||
\(124\) | 2.75405 | + | 0.670555i | 0.247321 | + | 0.0602176i | ||||
\(125\) | −7.86255 | + | 1.24531i | −0.703248 | + | 0.111384i | ||||
\(126\) | −3.63769 | − | 12.9781i | −0.324071 | − | 1.15618i | ||||
\(127\) | 0.606893 | + | 1.86782i | 0.0538530 | + | 0.165743i | 0.974366 | − | 0.224970i | \(-0.0722285\pi\) |
−0.920513 | + | 0.390713i | \(0.872229\pi\) | |||||||
\(128\) | 9.80837 | + | 5.63878i | 0.866946 | + | 0.498403i | ||||
\(129\) | 17.2262 | + | 4.13566i | 1.51669 | + | 0.364124i | ||||
\(130\) | −2.59313 | + | 3.27853i | −0.227433 | + | 0.287546i | ||||
\(131\) | −1.19791 | − | 2.35102i | −0.104661 | − | 0.205410i | 0.832737 | − | 0.553669i | \(-0.186773\pi\) |
−0.937398 | + | 0.348260i | \(0.886773\pi\) | |||||||
\(132\) | 7.85312 | − | 4.77776i | 0.683527 | − | 0.415850i | ||||
\(133\) | 6.95061 | − | 21.3918i | 0.602695 | − | 1.85490i | ||||
\(134\) | −0.533387 | + | 13.0415i | −0.0460776 | + | 1.12661i | ||||
\(135\) | −0.0733397 | + | 0.931869i | −0.00631208 | + | 0.0802025i | ||||
\(136\) | −6.10358 | + | 9.04002i | −0.523378 | + | 0.775175i | ||||
\(137\) | 8.66519 | − | 3.58924i | 0.740317 | − | 0.306649i | 0.0195331 | − | 0.999809i | \(-0.493782\pi\) |
0.720784 | + | 0.693160i | \(0.243782\pi\) | |||||||
\(138\) | 1.15703 | − | 5.76834i | 0.0984931 | − | 0.491034i | ||||
\(139\) | 3.19387 | + | 4.39598i | 0.270900 | + | 0.372862i | 0.922693 | − | 0.385535i | \(-0.125983\pi\) |
−0.651793 | + | 0.758397i | \(0.725983\pi\) | |||||||
\(140\) | −1.03040 | + | 6.37309i | −0.0870849 | + | 0.538625i | ||||
\(141\) | 13.9331 | + | 10.1230i | 1.17338 | + | 0.852510i | ||||
\(142\) | 4.14384 | − | 0.483706i | 0.347743 | − | 0.0405917i | ||||
\(143\) | −6.63335 | − | 1.05062i | −0.554709 | − | 0.0878573i | ||||
\(144\) | 8.17427 | + | 6.01960i | 0.681189 | + | 0.501633i | ||||
\(145\) | 5.00605 | + | 3.06771i | 0.415730 | + | 0.254760i | ||||
\(146\) | −0.625411 | − | 16.5975i | −0.0517594 | − | 1.37362i | ||||
\(147\) | 1.31134 | + | 16.6621i | 0.108157 | + | 1.37427i | ||||
\(148\) | −16.0428 | + | 6.58481i | −1.31871 | + | 0.541268i | ||||
\(149\) | 12.4828 | + | 14.6155i | 1.02263 | + | 1.19735i | 0.980151 | + | 0.198254i | \(0.0635272\pi\) |
0.0424841 | + | 0.999097i | \(0.486473\pi\) | |||||||
\(150\) | 6.94912 | − | 12.3619i | 0.567393 | − | 1.00935i | ||||
\(151\) | 9.59656 | + | 15.6602i | 0.780957 | + | 1.27441i | 0.957019 | + | 0.290027i | \(0.0936642\pi\) |
−0.176062 | + | 0.984379i | \(0.556336\pi\) | |||||||
\(152\) | 5.78691 | + | 15.9220i | 0.469381 | + | 1.29145i | ||||
\(153\) | −6.35626 | + | 7.44222i | −0.513873 | + | 0.601668i | ||||
\(154\) | −9.73712 | + | 3.57445i | −0.784640 | + | 0.288037i | ||||
\(155\) | −0.861411 | − | 0.861411i | −0.0691902 | − | 0.0691902i | ||||
\(156\) | −3.72756 | − | 15.7492i | −0.298443 | − | 1.26094i | ||||
\(157\) | −2.46579 | − | 10.2707i | −0.196791 | − | 0.819694i | −0.980171 | − | 0.198152i | \(-0.936506\pi\) |
0.783380 | − | 0.621543i | \(-0.213494\pi\) | |||||||
\(158\) | −1.72042 | + | 0.789775i | −0.136869 | + | 0.0628311i | ||||
\(159\) | −4.12258 | + | 8.09101i | −0.326941 | + | 0.641659i | ||||
\(160\) | −2.34173 | − | 4.26140i | −0.185130 | − | 0.336893i | ||||
\(161\) | −2.54047 | + | 6.13323i | −0.200217 | + | 0.483367i | ||||
\(162\) | −10.5486 | − | 9.78252i | −0.828778 | − | 0.768587i | ||||
\(163\) | −7.88850 | −0.617875 | −0.308938 | − | 0.951082i | \(-0.599973\pi\) | ||||
−0.308938 | + | 0.951082i | \(0.599973\pi\) | |||||||
\(164\) | 8.65690 | + | 9.43706i | 0.675990 | + | 0.736910i | ||||
\(165\) | −3.95069 | −0.307561 | ||||||||
\(166\) | −13.5749 | − | 12.5890i | −1.05361 | − | 0.977095i | ||||
\(167\) | −1.53595 | + | 3.70810i | −0.118855 | + | 0.286941i | −0.972099 | − | 0.234570i | \(-0.924632\pi\) |
0.853244 | + | 0.521512i | \(0.174632\pi\) | |||||||
\(168\) | −16.8783 | − | 18.4363i | −1.30219 | − | 1.42239i | ||||
\(169\) | 0.533676 | − | 1.04740i | 0.0410520 | − | 0.0805691i | ||||
\(170\) | 4.26043 | − | 1.95579i | 0.326760 | − | 0.150002i | ||||
\(171\) | 3.54857 | + | 14.7809i | 0.271366 | + | 1.13032i | ||||
\(172\) | 14.6515 | − | 3.46775i | 1.11716 | − | 0.264414i | ||||
\(173\) | −11.8822 | − | 11.8822i | −0.903389 | − | 0.903389i | 0.0923389 | − | 0.995728i | \(-0.470566\pi\) |
−0.995728 | + | 0.0923389i | \(0.970566\pi\) | |||||||
\(174\) | −21.3396 | + | 7.83367i | −1.61775 | + | 0.593869i | ||||
\(175\) | −10.3924 | + | 12.1679i | −0.785592 | + | 0.919810i | ||||
\(176\) | 4.12467 | − | 6.63476i | 0.310909 | − | 0.500114i | ||||
\(177\) | −15.2470 | − | 24.8809i | −1.14604 | − | 1.87016i | ||||
\(178\) | −4.77319 | + | 8.49111i | −0.357765 | + | 0.636435i | ||||
\(179\) | 5.27846 | + | 6.18029i | 0.394531 | + | 0.461936i | 0.921745 | − | 0.387796i | \(-0.126763\pi\) |
−0.527214 | + | 0.849732i | \(0.676763\pi\) | |||||||
\(180\) | −1.65667 | − | 4.03620i | −0.123481 | − | 0.300840i | ||||
\(181\) | 0.757125 | + | 9.62019i | 0.0562767 | + | 0.715063i | 0.958738 | + | 0.284292i | \(0.0917584\pi\) |
−0.902461 | + | 0.430771i | \(0.858242\pi\) | |||||||
\(182\) | 0.687648 | + | 18.2492i | 0.0509718 | + | 1.35272i | ||||
\(183\) | 16.2855 | + | 9.97976i | 1.20386 | + | 0.737725i | ||||
\(184\) | −1.33400 | − | 4.81881i | −0.0983441 | − | 0.355247i | ||||
\(185\) | 7.36134 | + | 1.16592i | 0.541216 | + | 0.0857202i | ||||
\(186\) | 4.68485 | − | 0.546857i | 0.343510 | − | 0.0400975i | ||||
\(187\) | 6.09346 | + | 4.42716i | 0.445598 | + | 0.323746i | ||||
\(188\) | 14.4492 | + | 2.33615i | 1.05382 | + | 0.170381i | ||||
\(189\) | 2.40039 | + | 3.30385i | 0.174602 | + | 0.240320i | ||||
\(190\) | 1.43192 | − | 7.13878i | 0.103882 | − | 0.517901i | ||||
\(191\) | −8.03911 | + | 3.32991i | −0.581689 | + | 0.240944i | −0.654071 | − | 0.756433i | \(-0.726940\pi\) |
0.0723813 | + | 0.997377i | \(0.476940\pi\) | |||||||
\(192\) | 18.5651 | + | 3.12417i | 1.33982 | + | 0.225468i | ||||
\(193\) | 0.140797 | − | 1.78899i | 0.0101348 | − | 0.128775i | −0.989768 | − | 0.142683i | \(-0.954427\pi\) |
0.999903 | + | 0.0139080i | \(0.00442718\pi\) | |||||||
\(194\) | −0.634235 | + | 15.5072i | −0.0455354 | + | 1.11335i | ||||
\(195\) | −2.14943 | + | 6.61528i | −0.153924 | + | 0.473730i | ||||
\(196\) | 7.38294 | + | 12.1352i | 0.527353 | + | 0.866801i | ||||
\(197\) | 5.40538 | + | 10.6087i | 0.385117 | + | 0.755835i | 0.999448 | − | 0.0332132i | \(-0.0105740\pi\) |
−0.614331 | + | 0.789048i | \(0.710574\pi\) | |||||||
\(198\) | 4.34861 | − | 5.49799i | 0.309042 | − | 0.390725i | ||||
\(199\) | −19.4822 | − | 4.67726i | −1.38106 | − | 0.331562i | −0.526171 | − | 0.850379i | \(-0.676373\pi\) |
−0.854885 | + | 0.518817i | \(0.826373\pi\) | |||||||
\(200\) | 0.531215 | − | 12.0406i | 0.0375626 | − | 0.851401i | ||||
\(201\) | 6.71164 | + | 20.6563i | 0.473402 | + | 1.45698i | ||||
\(202\) | −5.49894 | − | 19.6184i | −0.386904 | − | 1.38034i | ||||
\(203\) | 25.3347 | − | 4.01263i | 1.77815 | − | 0.281631i | ||||
\(204\) | −4.29382 | + | 17.6352i | −0.300627 | + | 1.23471i | ||||
\(205\) | −1.07048 | − | 5.39879i | −0.0747656 | − | 0.377068i | ||||
\(206\) | −10.0751 | − | 12.8225i | −0.701966 | − | 0.893388i | ||||
\(207\) | −0.701834 | − | 4.43121i | −0.0487808 | − | 0.307990i | ||||
\(208\) | −8.86556 | − | 10.5163i | −0.614716 | − | 0.729177i | ||||
\(209\) | 11.1256 | − | 3.61493i | 0.769575 | − | 0.250050i | ||||
\(210\) | 2.07885 | + | 10.5396i | 0.143455 | + | 0.727300i | ||||
\(211\) | 4.16042 | − | 17.3294i | 0.286415 | − | 1.19300i | −0.624704 | − | 0.780862i | \(-0.714780\pi\) |
0.911119 | − | 0.412143i | \(-0.135220\pi\) | |||||||
\(212\) | −0.0247991 | + | 7.71751i | −0.00170321 | + | 0.530041i | ||||
\(213\) | 6.18557 | − | 3.15171i | 0.423828 | − | 0.215951i | ||||
\(214\) | 1.75822 | − | 14.6534i | 0.120189 | − | 1.00168i | ||||
\(215\) | −6.15420 | − | 1.99962i | −0.419713 | − | 0.136373i | ||||
\(216\) | −2.95629 | − | 0.849164i | −0.201150 | − | 0.0577783i | ||||
\(217\) | −5.30580 | − | 0.417576i | −0.360181 | − | 0.0283469i | ||||
\(218\) | 15.2188 | + | 5.64232i | 1.03075 | + | 0.382146i | ||||
\(219\) | −10.5766 | − | 25.5342i | −0.714702 | − | 1.72544i | ||||
\(220\) | −2.99654 | + | 1.51470i | −0.202027 | + | 0.102121i | ||||
\(221\) | 10.7283 | − | 7.79460i | 0.721667 | − | 0.524321i | ||||
\(222\) | −21.2215 | + | 19.5538i | −1.42429 | + | 1.31237i | ||||
\(223\) | 15.9256 | − | 21.9197i | 1.06646 | − | 1.46785i | 0.192846 | − | 0.981229i | \(-0.438228\pi\) |
0.873612 | − | 0.486624i | \(-0.161772\pi\) | |||||||
\(224\) | −19.8705 | − | 7.51250i | −1.32765 | − | 0.501950i | ||||
\(225\) | 1.69173 | − | 10.6812i | 0.112782 | − | 0.712079i | ||||
\(226\) | −14.0406 | + | 7.83349i | −0.933965 | + | 0.521076i | ||||
\(227\) | 3.22726 | − | 5.26641i | 0.214201 | − | 0.349544i | −0.727435 | − | 0.686176i | \(-0.759288\pi\) |
0.941636 | + | 0.336632i | \(0.109288\pi\) | |||||||
\(228\) | 18.2391 | + | 21.4947i | 1.20791 | + | 1.42352i | ||||
\(229\) | 7.65708 | − | 0.602625i | 0.505994 | − | 0.0398226i | 0.177106 | − | 0.984192i | \(-0.443326\pi\) |
0.328887 | + | 0.944369i | \(0.393326\pi\) | |||||||
\(230\) | −0.586629 | + | 2.06731i | −0.0386812 | + | 0.136314i | ||||
\(231\) | −13.1246 | + | 11.2094i | −0.863533 | + | 0.737527i | ||||
\(232\) | −13.1823 | + | 14.1234i | −0.865462 | + | 0.927245i | ||||
\(233\) | −13.8065 | + | 8.46062i | −0.904493 | + | 0.554274i | −0.895191 | − | 0.445683i | \(-0.852961\pi\) |
−0.00930179 | + | 0.999957i | \(0.502961\pi\) | |||||||
\(234\) | −6.84025 | − | 10.2728i | −0.447161 | − | 0.671557i | ||||
\(235\) | −4.78346 | − | 4.08546i | −0.312039 | − | 0.266506i | ||||
\(236\) | −21.1041 | − | 13.0260i | −1.37376 | − | 0.847923i | ||||
\(237\) | −2.22742 | + | 2.22742i | −0.144686 | + | 0.144686i | ||||
\(238\) | 8.60430 | − | 18.5856i | 0.557734 | − | 1.20472i | ||||
\(239\) | 9.01902 | − | 2.16527i | 0.583392 | − | 0.140060i | 0.0690021 | − | 0.997617i | \(-0.478018\pi\) |
0.514390 | + | 0.857557i | \(0.328018\pi\) | |||||||
\(240\) | −6.11867 | − | 5.29422i | −0.394958 | − | 0.341740i | ||||
\(241\) | 13.2071 | + | 6.72934i | 0.850742 | + | 0.433475i | 0.824285 | − | 0.566175i | \(-0.191577\pi\) |
0.0264570 | + | 0.999650i | \(0.491577\pi\) | |||||||
\(242\) | 8.44010 | + | 5.65913i | 0.542550 | + | 0.363783i | ||||
\(243\) | −19.1030 | − | 7.91271i | −1.22546 | − | 0.507601i | ||||
\(244\) | 16.1786 | + | 1.32560i | 1.03573 | + | 0.0848630i | ||||
\(245\) | − | 6.10489i | − | 0.390027i | ||||||
\(246\) | 18.9657 | + | 9.71645i | 1.20921 | + | 0.619498i | ||||
\(247\) | − | 20.5962i | − | 1.31050i | ||||||
\(248\) | 3.34372 | − | 2.21096i | 0.212326 | − | 0.140396i | ||||
\(249\) | −28.4621 | − | 11.7894i | −1.80371 | − | 0.747123i | ||||
\(250\) | −6.26960 | + | 9.35056i | −0.396524 | + | 0.591382i | ||||
\(251\) | −19.7529 | − | 10.0646i | −1.24679 | − | 0.635271i | −0.299027 | − | 0.954245i | \(-0.596662\pi\) |
−0.947764 | + | 0.318973i | \(0.896662\pi\) | |||||||
\(252\) | −16.9557 | − | 8.70809i | −1.06811 | − | 0.548558i | ||||
\(253\) | −3.35724 | + | 0.806003i | −0.211068 | + | 0.0506730i | ||||
\(254\) | 2.52044 | + | 1.16685i | 0.158147 | + | 0.0732149i | ||||
\(255\) | 5.51594 | − | 5.51594i | 0.345422 | − | 0.345422i | ||||
\(256\) | 15.2792 | − | 4.74828i | 0.954950 | − | 0.296768i | ||||
\(257\) | −11.4843 | − | 9.80849i | −0.716369 | − | 0.611837i | 0.214700 | − | 0.976680i | \(-0.431123\pi\) |
−0.931069 | + | 0.364843i | \(0.881123\pi\) | |||||||
\(258\) | 20.8538 | − | 13.8857i | 1.29830 | − | 0.864485i | ||||
\(259\) | 27.7632 | − | 17.0133i | 1.72512 | − | 1.05715i | ||||
\(260\) | 0.906000 | + | 5.84169i | 0.0561877 | + | 0.362286i | ||||
\(261\) | −13.1816 | + | 11.2582i | −0.815923 | + | 0.696864i | ||||
\(262\) | −3.58983 | − | 1.01867i | −0.221780 | − | 0.0629334i | ||||
\(263\) | 6.93876 | − | 0.546092i | 0.427862 | − | 0.0336735i | 0.137300 | − | 0.990530i | \(-0.456158\pi\) |
0.290562 | + | 0.956856i | \(0.406158\pi\) | |||||||
\(264\) | 2.59758 | − | 12.7377i | 0.159870 | − | 0.783953i | ||||
\(265\) | 1.73306 | − | 2.82810i | 0.106461 | − | 0.173729i | ||||
\(266\) | −15.4981 | − | 27.7785i | −0.950252 | − | 1.70321i | ||||
\(267\) | −2.53561 | + | 16.0092i | −0.155177 | + | 0.979747i | ||||
\(268\) | 13.0103 | + | 13.0942i | 0.794733 | + | 0.799857i | ||||
\(269\) | 12.5669 | − | 17.2969i | 0.766219 | − | 1.05461i | −0.230452 | − | 0.973084i | \(-0.574020\pi\) |
0.996671 | − | 0.0815268i | \(-0.0259796\pi\) | |||||||
\(270\) | 0.895771 | + | 0.972169i | 0.0545149 | + | 0.0591643i | ||||
\(271\) | −1.35766 | + | 0.986396i | −0.0824718 | + | 0.0599193i | −0.628257 | − | 0.778006i | \(-0.716231\pi\) |
0.545785 | + | 0.837925i | \(0.316231\pi\) | |||||||
\(272\) | 3.50458 | + | 15.0223i | 0.212496 | + | 0.910860i | ||||
\(273\) | 11.6291 | + | 28.0752i | 0.703828 | + | 1.69919i | ||||
\(274\) | 4.61092 | − | 12.4369i | 0.278556 | − | 0.751339i | ||||
\(275\) | −8.29675 | − | 0.652969i | −0.500313 | − | 0.0393755i | ||||
\(276\) | −4.86881 | − | 6.74682i | −0.293068 | − | 0.406111i | ||||
\(277\) | 22.4999 | + | 7.31066i | 1.35189 | + | 0.439255i | 0.893327 | − | 0.449407i | \(-0.148365\pi\) |
0.458562 | + | 0.888663i | \(0.348365\pi\) | |||||||
\(278\) | 7.62973 | + | 0.915471i | 0.457601 | + | 0.0549063i | ||||
\(279\) | 3.20480 | − | 1.63293i | 0.191866 | − | 0.0977607i | ||||
\(280\) | 5.61768 | + | 7.19707i | 0.335720 | + | 0.430107i | ||||
\(281\) | −2.31355 | + | 9.63663i | −0.138015 | + | 0.574873i | 0.859908 | + | 0.510449i | \(0.170521\pi\) |
−0.997923 | + | 0.0644236i | \(0.979479\pi\) | |||||||
\(282\) | 23.8956 | − | 4.71323i | 1.42296 | − | 0.280668i | ||||
\(283\) | −0.463373 | + | 0.150559i | −0.0275447 | + | 0.00894981i | −0.322757 | − | 0.946482i | \(-0.604610\pi\) |
0.295212 | + | 0.955432i | \(0.404610\pi\) | |||||||
\(284\) | 3.48329 | − | 4.76208i | 0.206695 | − | 0.282578i | ||||
\(285\) | −1.89530 | − | 11.9665i | −0.112268 | − | 0.708833i | ||||
\(286\) | −7.46831 | + | 5.86811i | −0.441610 | + | 0.346989i | ||||
\(287\) | −18.8744 | − | 14.8980i | −1.11412 | − | 0.879401i | ||||
\(288\) | 14.1027 | − | 2.68761i | 0.831008 | − | 0.158369i | ||||
\(289\) | 2.10184 | − | 0.332899i | 0.123638 | − | 0.0195823i | ||||
\(290\) | 7.99506 | − | 2.24098i | 0.469486 | − | 0.131595i | ||||
\(291\) | 7.98061 | + | 24.5618i | 0.467831 | + | 1.43984i | ||||
\(292\) | −17.8121 | − | 15.3122i | −1.04237 | − | 0.896081i | ||||
\(293\) | 1.02145 | + | 0.245227i | 0.0596735 | + | 0.0143263i | 0.263172 | − | 0.964749i | \(-0.415231\pi\) |
−0.203499 | + | 0.979075i | \(0.565231\pi\) | |||||||
\(294\) | 18.5388 | + | 14.6631i | 1.08120 | + | 0.855172i | ||||
\(295\) | 4.83898 | + | 9.49703i | 0.281736 | + | 0.552938i | ||||
\(296\) | −8.59921 | + | 22.9676i | −0.499819 | + | 1.33497i | ||||
\(297\) | −0.656329 | + | 2.01997i | −0.0380841 | + | 0.117211i | ||||
\(298\) | 27.1595 | + | 1.11080i | 1.57331 | + | 0.0643472i | ||||
\(299\) | −0.476940 | + | 6.06009i | −0.0275821 | + | 0.350464i | ||||
\(300\) | −6.13610 | − | 19.0935i | −0.354268 | − | 1.10237i | ||||
\(301\) | −26.1185 | + | 10.8186i | −1.50544 | + | 0.623575i | ||||
\(302\) | 25.4671 | + | 5.10828i | 1.46547 | + | 0.293948i | ||||
\(303\) | −19.9279 | − | 27.4284i | −1.14483 | − | 1.57572i | ||||
\(304\) | 22.0752 | + | 9.31050i | 1.26610 | + | 0.533994i | ||||
\(305\) | −5.64416 | − | 4.10072i | −0.323184 | − | 0.234807i | ||||
\(306\) | 1.60477 | + | 13.7478i | 0.0917384 | + | 0.785909i | ||||
\(307\) | 17.8371 | + | 2.82512i | 1.01802 | + | 0.161238i | 0.643070 | − | 0.765808i | \(-0.277660\pi\) |
0.374948 | + | 0.927046i | \(0.377660\pi\) | |||||||
\(308\) | −5.65706 | + | 13.5342i | −0.322341 | + | 0.771182i | ||||
\(309\) | −23.1368 | − | 14.1782i | −1.31620 | − | 0.806571i | ||||
\(310\) | −1.72160 | + | 0.0648717i | −0.0977804 | + | 0.00368447i | ||||
\(311\) | 1.34899 | + | 17.1405i | 0.0764942 | + | 0.971951i | 0.908691 | + | 0.417470i | \(0.137083\pi\) |
−0.832197 | + | 0.554481i | \(0.812917\pi\) | |||||||
\(312\) | −19.9156 | − | 11.2797i | −1.12750 | − | 0.638587i | ||||
\(313\) | −13.2941 | − | 15.5654i | −0.751429 | − | 0.879811i | 0.244527 | − | 0.969642i | \(-0.421367\pi\) |
−0.995957 | + | 0.0898315i | \(0.971367\pi\) | |||||||
\(314\) | −13.0214 | − | 7.31983i | −0.734839 | − | 0.413082i | ||||
\(315\) | 4.28037 | + | 6.98493i | 0.241172 | + | 0.393556i | ||||
\(316\) | −0.835465 | + | 2.54346i | −0.0469986 | + | 0.143081i | ||||
\(317\) | −13.3147 | + | 15.5895i | −0.747829 | + | 0.875595i | −0.995646 | − | 0.0932119i | \(-0.970287\pi\) |
0.247818 | + | 0.968807i | \(0.420287\pi\) | |||||||
\(318\) | 4.42551 | + | 12.0555i | 0.248171 | + | 0.676039i | ||||
\(319\) | 9.43319 | + | 9.43319i | 0.528157 | + | 0.528157i | ||||
\(320\) | −6.67073 | − | 1.66967i | −0.372905 | − | 0.0933376i | ||||
\(321\) | −5.73302 | − | 23.8797i | −0.319986 | − | 1.33284i | ||||
\(322\) | 3.91682 | + | 8.53227i | 0.218276 | + | 0.475485i | ||||
\(323\) | −10.4864 | + | 20.5807i | −0.583479 | + | 1.14514i | ||||
\(324\) | −20.2879 | + | 1.53111i | −1.12710 | + | 0.0850617i | ||||
\(325\) | −5.60735 | + | 13.5373i | −0.311040 | + | 0.750916i | ||||
\(326\) | −7.58587 | + | 8.17995i | −0.420143 | + | 0.453045i | ||||
\(327\) | 27.0088 | 1.49359 | ||||||||
\(328\) | 18.1105 | + | 0.0982887i | 0.999985 | + | 0.00542709i | ||||
\(329\) | −27.4829 | −1.51518 | ||||||||
\(330\) | −3.79913 | + | 4.09665i | −0.209135 | + | 0.225513i | ||||
\(331\) | 4.86776 | − | 11.7518i | 0.267556 | − | 0.645937i | −0.731811 | − | 0.681507i | \(-0.761325\pi\) |
0.999367 | + | 0.0355701i | \(0.0113247\pi\) | |||||||
\(332\) | −26.1082 | + | 1.97037i | −1.43287 | + | 0.108138i | ||||
\(333\) | −9.99028 | + | 19.6070i | −0.547464 | + | 1.07446i | ||||
\(334\) | 2.36808 | + | 5.15854i | 0.129575 | + | 0.282263i | ||||
\(335\) | −1.85199 | − | 7.71408i | −0.101185 | − | 0.421465i | ||||
\(336\) | −35.3483 | − | 0.227175i | −1.92841 | − | 0.0123934i | ||||
\(337\) | 18.1659 | + | 18.1659i | 0.989558 | + | 0.989558i | 0.999946 | − | 0.0103877i | \(-0.00330657\pi\) |
−0.0103877 | + | 0.999946i | \(0.503307\pi\) | |||||||
\(338\) | −0.572892 | − | 1.56061i | −0.0311612 | − | 0.0848859i | ||||
\(339\) | −17.3753 | + | 20.3439i | −0.943698 | + | 1.10493i | ||||
\(340\) | 2.06893 | − | 6.29859i | 0.112204 | − | 0.341589i | ||||
\(341\) | −1.44629 | − | 2.36013i | −0.0783208 | − | 0.127808i | ||||
\(342\) | 18.7394 | + | 10.5341i | 1.01331 | + | 0.569622i | ||||
\(343\) | −0.249519 | − | 0.292149i | −0.0134728 | − | 0.0157746i | ||||
\(344\) | 10.4935 | − | 18.5275i | 0.565773 | − | 0.998935i | ||||
\(345\) | 0.280558 | + | 3.56483i | 0.0151048 | + | 0.191924i | ||||
\(346\) | −23.7476 | + | 0.894834i | −1.27668 | + | 0.0481066i | ||||
\(347\) | −4.56067 | − | 2.79478i | −0.244829 | − | 0.150032i | 0.394671 | − | 0.918823i | \(-0.370859\pi\) |
−0.639500 | + | 0.768791i | \(0.720859\pi\) | |||||||
\(348\) | −12.3979 | + | 29.6612i | −0.664595 | + | 1.59000i | ||||
\(349\) | −8.33592 | − | 1.32028i | −0.446212 | − | 0.0706730i | −0.0707146 | − | 0.997497i | \(-0.522528\pi\) |
−0.375497 | + | 0.926824i | \(0.622528\pi\) | |||||||
\(350\) | 2.62377 | + | 22.4775i | 0.140247 | + | 1.20147i | ||||
\(351\) | 3.02528 | + | 2.19800i | 0.161478 | + | 0.117320i | ||||
\(352\) | −2.91345 | − | 10.6573i | −0.155287 | − | 0.568035i | ||||
\(353\) | −0.963109 | − | 1.32561i | −0.0512611 | − | 0.0705549i | 0.782617 | − | 0.622504i | \(-0.213884\pi\) |
−0.833878 | + | 0.551949i | \(0.813884\pi\) | |||||||
\(354\) | −40.4623 | − | 8.11605i | −2.15054 | − | 0.431363i | ||||
\(355\) | −2.34272 | + | 0.970387i | −0.124339 | + | 0.0515028i | ||||
\(356\) | 4.21474 | + | 13.1149i | 0.223381 | + | 0.695088i | ||||
\(357\) | 2.67390 | − | 33.9751i | 0.141518 | − | 1.79815i | ||||
\(358\) | 11.4846 | + | 0.469712i | 0.606979 | + | 0.0248251i | ||||
\(359\) | −4.02462 | + | 12.3865i | −0.212411 | + | 0.653735i | 0.786916 | + | 0.617060i | \(0.211677\pi\) |
−0.999327 | + | 0.0366749i | \(0.988323\pi\) | |||||||
\(360\) | −5.77843 | − | 2.16347i | −0.304550 | − | 0.114025i | ||||
\(361\) | 7.66107 | + | 15.0357i | 0.403214 | + | 0.791352i | ||||
\(362\) | 10.7037 | + | 8.46603i | 0.562573 | + | 0.444965i | ||||
\(363\) | 16.4421 | + | 3.94740i | 0.862986 | + | 0.207185i | ||||
\(364\) | 19.5847 | + | 16.8360i | 1.02651 | + | 0.882447i | ||||
\(365\) | 3.11958 | + | 9.60109i | 0.163286 | + | 0.502544i | ||||
\(366\) | 26.0092 | − | 7.29026i | 1.35952 | − | 0.381068i | ||||
\(367\) | −9.90526 | + | 1.56884i | −0.517050 | + | 0.0818927i | −0.409506 | − | 0.912308i | \(-0.634299\pi\) |
−0.107545 | + | 0.994200i | \(0.534299\pi\) | |||||||
\(368\) | −6.27967 | − | 3.25065i | −0.327350 | − | 0.169452i | ||||
\(369\) | 16.1366 | + | 1.91983i | 0.840039 | + | 0.0999424i | ||||
\(370\) | 8.28793 | − | 6.51211i | 0.430869 | − | 0.338548i | ||||
\(371\) | −2.26687 | − | 14.3125i | −0.117690 | − | 0.743067i | ||||
\(372\) | 3.93806 | − | 5.38381i | 0.204179 | − | 0.279137i | ||||
\(373\) | 7.26310 | − | 2.35992i | 0.376069 | − | 0.122192i | −0.114883 | − | 0.993379i | \(-0.536649\pi\) |
0.490952 | + | 0.871187i | \(0.336649\pi\) | |||||||
\(374\) | 10.4504 | − | 2.06127i | 0.540378 | − | 0.106586i | ||||
\(375\) | −4.37322 | + | 18.2158i | −0.225832 | + | 0.940657i | ||||
\(376\) | 16.3174 | − | 12.7365i | 0.841504 | − | 0.656836i | ||||
\(377\) | 20.9278 | − | 10.6632i | 1.07784 | − | 0.549184i | ||||
\(378\) | 5.73421 | + | 0.688032i | 0.294936 | + | 0.0353885i | ||||
\(379\) | −1.79221 | − | 0.582324i | −0.0920595 | − | 0.0299120i | 0.262625 | − | 0.964898i | \(-0.415412\pi\) |
−0.354685 | + | 0.934986i | \(0.615412\pi\) | |||||||
\(380\) | −6.02553 | − | 8.34973i | −0.309103 | − | 0.428332i | ||||
\(381\) | 4.60745 | + | 0.362614i | 0.236047 | + | 0.0185773i | ||||
\(382\) | −4.27777 | + | 11.5383i | −0.218870 | + | 0.590349i | ||||
\(383\) | 2.96764 | + | 7.16452i | 0.151639 | + | 0.366090i | 0.981385 | − | 0.192052i | \(-0.0615144\pi\) |
−0.829745 | + | 0.558142i | \(0.811514\pi\) | |||||||
\(384\) | 21.0925 | − | 16.2467i | 1.07637 | − | 0.829087i | ||||
\(385\) | 5.10039 | − | 3.70565i | 0.259940 | − | 0.188858i | ||||
\(386\) | −1.71969 | − | 1.86636i | −0.0875301 | − | 0.0949953i | ||||
\(387\) | 11.2300 | − | 15.4567i | 0.570851 | − | 0.785710i | ||||
\(388\) | 15.4702 | + | 15.5700i | 0.785381 | + | 0.790445i | ||||
\(389\) | −2.42233 | + | 15.2940i | −0.122817 | + | 0.775438i | 0.846998 | + | 0.531596i | \(0.178408\pi\) |
−0.969815 | + | 0.243841i | \(0.921592\pi\) | |||||||
\(390\) | 4.79271 | + | 8.59034i | 0.242688 | + | 0.434989i | ||||
\(391\) | 3.56204 | − | 5.81271i | 0.180140 | − | 0.293962i | ||||
\(392\) | 19.6833 | + | 4.01397i | 0.994154 | + | 0.202736i | ||||
\(393\) | −6.19023 | + | 0.487182i | −0.312256 | + | 0.0245751i | ||||
\(394\) | 16.1986 | + | 4.59659i | 0.816074 | + | 0.231573i | ||||
\(395\) | 0.874920 | − | 0.747252i | 0.0440220 | − | 0.0375983i | ||||
\(396\) | −1.51934 | − | 9.79634i | −0.0763495 | − | 0.492285i | ||||
\(397\) | −27.7429 | + | 17.0009i | −1.39238 | + | 0.853250i | −0.997844 | − | 0.0656314i | \(-0.979094\pi\) |
−0.394534 | + | 0.918881i | \(0.629094\pi\) | |||||||
\(398\) | −23.5849 | + | 15.7041i | −1.18220 | + | 0.787177i | ||||
\(399\) | −40.2493 | − | 34.3762i | −2.01499 | − | 1.72096i | ||||
\(400\) | −11.9746 | − | 12.1296i | −0.598732 | − | 0.606478i | ||||
\(401\) | 16.7738 | − | 16.7738i | 0.837642 | − | 0.837642i | −0.150906 | − | 0.988548i | \(-0.548219\pi\) |
0.988548 | + | 0.150906i | \(0.0482191\pi\) | |||||||
\(402\) | 27.8736 | + | 12.9042i | 1.39021 | + | 0.643605i | ||||
\(403\) | −4.73881 | + | 1.13769i | −0.236057 | + | 0.0566723i | ||||
\(404\) | −25.6312 | − | 13.1636i | −1.27520 | − | 0.654916i | ||||
\(405\) | 7.79111 | + | 3.96977i | 0.387143 | + | 0.197259i | ||||
\(406\) | 20.2019 | − | 30.1294i | 1.00260 | − | 1.49530i | ||||
\(407\) | 15.6457 | + | 6.48067i | 0.775530 | + | 0.321235i | ||||
\(408\) | 14.1576 | + | 21.4111i | 0.700908 | + | 1.06001i | ||||
\(409\) | − | 19.5737i | − | 0.967858i | −0.875107 | − | 0.483929i | \(-0.839209\pi\) | ||
0.875107 | − | 0.483929i | \(-0.160791\pi\) | |||||||
\(410\) | −6.62767 | − | 4.08165i | −0.327317 | − | 0.201578i | ||||
\(411\) | − | 22.0717i | − | 1.08871i | ||||||
\(412\) | −22.9848 | − | 1.88328i | −1.13238 | − | 0.0927826i | ||||
\(413\) | 43.0218 | + | 17.8202i | 2.11697 | + | 0.876876i | ||||
\(414\) | −5.26983 | − | 3.53345i | −0.258998 | − | 0.173659i | ||||
\(415\) | 10.0263 | + | 5.10864i | 0.492170 | + | 0.250773i | ||||
\(416\) | −19.4303 | − | 0.919803i | −0.952650 | − | 0.0450971i | ||||
\(417\) | 12.4337 | − | 2.98508i | 0.608883 | − | 0.146180i | ||||
\(418\) | 6.95032 | − | 15.0129i | 0.339951 | − | 0.734305i | ||||
\(419\) | −10.2583 | + | 10.2583i | −0.501149 | + | 0.501149i | −0.911795 | − | 0.410646i | \(-0.865303\pi\) |
0.410646 | + | 0.911795i | \(0.365303\pi\) | |||||||
\(420\) | 12.9281 | + | 7.97958i | 0.630825 | + | 0.389364i | ||||
\(421\) | −23.9391 | − | 20.4459i | −1.16672 | − | 0.996473i | −0.999945 | − | 0.0104784i | \(-0.996665\pi\) |
−0.166775 | − | 0.985995i | \(-0.553335\pi\) | |||||||
\(422\) | −13.9688 | − | 20.9787i | −0.679992 | − | 1.02123i | ||||
\(423\) | 15.8364 | − | 9.70456i | 0.769993 | − | 0.471852i | ||||
\(424\) | 7.97879 | + | 7.44716i | 0.387484 | + | 0.361666i | ||||
\(425\) | 12.4956 | − | 10.6722i | 0.606124 | − | 0.517679i | ||||
\(426\) | 2.68012 | − | 9.44489i | 0.129852 | − | 0.457607i | ||||
\(427\) | −30.3856 | + | 2.39139i | −1.47046 | + | 0.115728i | ||||
\(428\) | −13.5040 | − | 15.9144i | −0.652739 | − | 0.769250i | ||||
\(429\) | −8.25792 | + | 13.4757i | −0.398696 | + | 0.650613i | ||||
\(430\) | −7.99161 | + | 4.45866i | −0.385389 | + | 0.215016i | ||||
\(431\) | −2.96333 | + | 18.7097i | −0.142738 | + | 0.901215i | 0.807540 | + | 0.589813i | \(0.200799\pi\) |
−0.950278 | + | 0.311402i | \(0.899201\pi\) | |||||||
\(432\) | −3.72341 | + | 2.24892i | −0.179143 | + | 0.108201i | ||||
\(433\) | 12.6067 | − | 17.3517i | 0.605841 | − | 0.833868i | −0.390387 | − | 0.920651i | \(-0.627659\pi\) |
0.996227 | + | 0.0867830i | \(0.0276587\pi\) | |||||||
\(434\) | −5.53526 | + | 5.10027i | −0.265701 | + | 0.244821i | ||||
\(435\) | 11.1779 | − | 8.12121i | 0.535938 | − | 0.389382i | ||||
\(436\) | 20.4858 | − | 10.3552i | 0.981090 | − | 0.495926i | ||||
\(437\) | −4.05195 | − | 9.78228i | −0.193831 | − | 0.467950i | ||||
\(438\) | −36.6485 | − | 13.5873i | −1.75113 | − | 0.649225i | ||||
\(439\) | 7.86784 | + | 0.619212i | 0.375511 | + | 0.0295534i | 0.264811 | − | 0.964300i | \(-0.414691\pi\) |
0.110701 | + | 0.993854i | \(0.464691\pi\) | |||||||
\(440\) | −1.31092 | + | 4.56384i | −0.0624955 | + | 0.217573i | ||||
\(441\) | 17.1427 | + | 5.56999i | 0.816318 | + | 0.265238i | ||||
\(442\) | 2.23420 | − | 18.6203i | 0.106270 | − | 0.885676i | ||||
\(443\) | −25.2828 | + | 12.8822i | −1.20122 | + | 0.612053i | −0.935954 | − | 0.352121i | \(-0.885460\pi\) |
−0.265268 | + | 0.964175i | \(0.585460\pi\) | |||||||
\(444\) | −0.131134 | + | 40.8092i | −0.00622336 | + | 1.93672i | ||||
\(445\) | 1.38211 | − | 5.75688i | 0.0655181 | − | 0.272902i | ||||
\(446\) | −7.41490 | − | 37.5928i | −0.351106 | − | 1.78007i | ||||
\(447\) | 43.0178 | − | 13.9773i | 2.03467 | − | 0.661104i | ||||
\(448\) | −26.8982 | + | 13.3803i | −1.27082 | + | 0.632160i | ||||
\(449\) | 3.87442 | + | 24.4621i | 0.182845 | + | 1.15444i | 0.892887 | + | 0.450280i | \(0.148676\pi\) |
−0.710042 | + | 0.704159i | \(0.751324\pi\) | |||||||
\(450\) | −9.44897 | − | 12.0257i | −0.445429 | − | 0.566895i | ||||
\(451\) | 0.498565 | − | 12.4959i | 0.0234765 | − | 0.588411i | ||||
\(452\) | −5.37902 | + | 22.0923i | −0.253008 | + | 1.03913i | ||||
\(453\) | 42.6896 | − | 6.76138i | 2.00573 | − | 0.317677i | ||||
\(454\) | −2.35753 | − | 8.41086i | −0.110644 | − | 0.394741i | ||||
\(455\) | −3.43002 | − | 10.5565i | −0.160802 | − | 0.494898i | ||||
\(456\) | 39.8282 | + | 1.75716i | 1.86513 | + | 0.0822866i | ||||
\(457\) | 0.585547 | + | 0.140577i | 0.0273907 | + | 0.00657593i | 0.247118 | − | 0.968986i | \(-0.420517\pi\) |
−0.219727 | + | 0.975561i | \(0.570517\pi\) | |||||||
\(458\) | 6.73843 | − | 8.51947i | 0.314866 | − | 0.398089i | ||||
\(459\) | −1.90392 | − | 3.73665i | −0.0888672 | − | 0.174412i | ||||
\(460\) | 1.57956 | + | 2.59630i | 0.0736476 | + | 0.121053i | ||||
\(461\) | −8.91464 | + | 27.4364i | −0.415196 | + | 1.27784i | 0.496879 | + | 0.867820i | \(0.334479\pi\) |
−0.912075 | + | 0.410023i | \(0.865521\pi\) | |||||||
\(462\) | −0.997489 | + | 24.3889i | −0.0464074 | + | 1.13467i | ||||
\(463\) | −2.32275 | + | 29.5133i | −0.107947 | + | 1.37160i | 0.669575 | + | 0.742745i | \(0.266476\pi\) |
−0.777522 | + | 0.628856i | \(0.783524\pi\) | |||||||
\(464\) | 1.96856 | + | 27.2509i | 0.0913882 | + | 1.26509i | ||||
\(465\) | −2.64858 | + | 1.09708i | −0.122825 | + | 0.0508758i | ||||
\(466\) | −4.50361 | + | 22.4526i | −0.208626 | + | 1.04010i | ||||
\(467\) | −8.07107 | − | 11.1089i | −0.373485 | − | 0.514058i | 0.580359 | − | 0.814361i | \(-0.302912\pi\) |
−0.953844 | + | 0.300303i | \(0.902912\pi\) | |||||||
\(468\) | −17.2302 | − | 2.78578i | −0.796466 | − | 0.128773i | ||||
\(469\) | −28.0399 | − | 20.3722i | −1.29476 | − | 0.940700i | ||||
\(470\) | −8.83635 | + | 1.03146i | −0.407590 | + | 0.0475776i | ||||
\(471\) | −24.5506 | − | 3.88844i | −1.13123 | − | 0.179170i | ||||
\(472\) | −33.8017 | + | 9.35742i | −1.55585 | + | 0.430710i | ||||
\(473\) | −12.5365 | − | 7.68236i | −0.576427 | − | 0.353235i | ||||
\(474\) | 0.167744 | + | 4.45167i | 0.00770472 | + | 0.204472i | ||||
\(475\) | −2.00247 | − | 25.4438i | −0.0918795 | − | 1.16744i | ||||
\(476\) | −10.9980 | − | 26.7948i | −0.504093 | − | 1.22814i | ||||
\(477\) | 6.36014 | + | 7.44677i | 0.291211 | + | 0.340964i | ||||
\(478\) | 6.42775 | − | 11.4344i | 0.293998 | − | 0.522999i | ||||
\(479\) | 17.4401 | + | 28.4596i | 0.796858 | + | 1.30035i | 0.950031 | + | 0.312155i | \(0.101051\pi\) |
−0.153173 | + | 0.988199i | \(0.548949\pi\) | |||||||
\(480\) | −11.3737 | + | 1.25361i | −0.519138 | + | 0.0572191i | ||||
\(481\) | 19.3639 | − | 22.6722i | 0.882919 | − | 1.03377i | ||||
\(482\) | 19.6783 | − | 7.22383i | 0.896324 | − | 0.329036i | ||||
\(483\) | 11.0467 | + | 11.0467i | 0.502641 | + | 0.502641i | ||||
\(484\) | 13.9845 | − | 3.30989i | 0.635660 | − | 0.150450i | ||||
\(485\) | −2.20214 | − | 9.17258i | −0.0999941 | − | 0.416505i | ||||
\(486\) | −26.5752 | + | 12.1996i | −1.20547 | + | 0.553385i | ||||
\(487\) | 9.07698 | − | 17.8146i | 0.411317 | − | 0.807255i | −0.588682 | − | 0.808364i | \(-0.700353\pi\) |
0.999999 | + | 0.00110933i | \(0.000353110\pi\) | |||||||
\(488\) | 16.9325 | − | 15.5015i | 0.766497 | − | 0.701721i | ||||
\(489\) | −7.10406 | + | 17.1507i | −0.321257 | + | 0.775582i | ||||
\(490\) | −6.33044 | − | 5.87069i | −0.285980 | − | 0.265211i | ||||
\(491\) | −5.56524 | −0.251156 | −0.125578 | − | 0.992084i | \(-0.540079\pi\) | ||||
−0.125578 | + | 0.992084i | \(0.540079\pi\) | |||||||
\(492\) | 28.3135 | − | 10.3227i | 1.27647 | − | 0.465383i | ||||
\(493\) | −26.3412 | −1.18635 | ||||||||
\(494\) | −21.3571 | − | 19.8060i | −0.960902 | − | 0.891116i | ||||
\(495\) | −1.63047 | + | 3.93631i | −0.0732843 | + | 0.176924i | ||||
\(496\) | 0.922794 | − | 5.59340i | 0.0414347 | − | 0.251151i | ||||
\(497\) | −5.02943 | + | 9.87081i | −0.225601 | + | 0.442766i | ||||
\(498\) | −39.5952 | + | 18.1766i | −1.77430 | + | 0.814511i | ||||
\(499\) | 5.31042 | + | 22.1195i | 0.237727 | + | 0.990205i | 0.955749 | + | 0.294184i | \(0.0950479\pi\) |
−0.718022 | + | 0.696021i | \(0.754952\pi\) | |||||||
\(500\) | 3.66694 | + | 15.4931i | 0.163991 | + | 0.692871i | ||||
\(501\) | 6.67872 | + | 6.67872i | 0.298383 | + | 0.298383i | ||||
\(502\) | −29.4315 | + | 10.8042i | −1.31359 | + | 0.482214i | ||||
\(503\) | 5.14437 | − | 6.02328i | 0.229376 | − | 0.268565i | −0.633767 | − | 0.773524i | \(-0.718492\pi\) |
0.863143 | + | 0.504959i | \(0.168492\pi\) | |||||||
\(504\) | −25.3350 | + | 9.20809i | −1.12851 | + | 0.410161i | ||||
\(505\) | 6.47046 | + | 10.5588i | 0.287932 | + | 0.469862i | ||||
\(506\) | −2.39267 | + | 4.25636i | −0.106367 | + | 0.189218i | ||||
\(507\) | −1.79658 | − | 2.10353i | −0.0797891 | − | 0.0934210i | ||||
\(508\) | 3.63371 | − | 1.49147i | 0.161220 | − | 0.0661733i | ||||
\(509\) | −1.00352 | − | 12.7510i | −0.0444803 | − | 0.565176i | −0.978267 | − | 0.207347i | \(-0.933517\pi\) |
0.933787 | − | 0.357829i | \(-0.116483\pi\) | |||||||
\(510\) | −0.415398 | − | 11.0241i | −0.0183941 | − | 0.488154i | ||||
\(511\) | 37.6051 | + | 23.0444i | 1.66355 | + | 1.01942i | ||||
\(512\) | 9.76933 | − | 20.4098i | 0.431747 | − | 0.901995i | ||||
\(513\) | −6.43328 | − | 1.01893i | −0.284036 | − | 0.0449870i | ||||
\(514\) | −21.2146 | + | 2.47635i | −0.935734 | + | 0.109227i | ||||
\(515\) | 8.01864 | + | 5.82588i | 0.353344 | + | 0.256719i | ||||
\(516\) | 5.65513 | − | 34.9773i | 0.248953 | − | 1.53979i | ||||
\(517\) | −8.40154 | − | 11.5637i | −0.369499 | − | 0.508572i | ||||
\(518\) | 9.05623 | − | 45.1495i | 0.397908 | − | 1.98375i | ||||
\(519\) | −36.5343 | + | 15.1330i | −1.60368 | + | 0.664264i | ||||
\(520\) | 6.92875 | + | 4.67811i | 0.303846 | + | 0.205149i | ||||
\(521\) | −1.24882 | + | 15.8678i | −0.0547119 | + | 0.695181i | 0.907002 | + | 0.421126i | \(0.138365\pi\) |
−0.961714 | + | 0.274055i | \(0.911635\pi\) | |||||||
\(522\) | −1.00183 | + | 24.4949i | −0.0438488 | + | 1.07211i | ||||
\(523\) | 2.56010 | − | 7.87919i | 0.111946 | − | 0.344533i | −0.879352 | − | 0.476172i | \(-0.842024\pi\) |
0.991298 | + | 0.131639i | \(0.0420240\pi\) | |||||||
\(524\) | −4.50841 | + | 2.74287i | −0.196951 | + | 0.119823i | ||||
\(525\) | 17.0959 | + | 33.5525i | 0.746124 | + | 1.46435i | ||||
\(526\) | 6.10630 | − | 7.72025i | 0.266247 | − | 0.336619i | ||||
\(527\) | 5.31450 | + | 1.27590i | 0.231503 | + | 0.0555790i | ||||
\(528\) | −10.7104 | − | 14.9426i | −0.466110 | − | 0.650293i | ||||
\(529\) | −6.14169 | − | 18.9022i | −0.267030 | − | 0.821834i | ||||
\(530\) | −1.26601 | − | 4.51669i | −0.0549918 | − | 0.196192i | ||||
\(531\) | −31.0829 | + | 4.92304i | −1.34888 | + | 0.213642i | ||||
\(532\) | −43.7084 | − | 10.6421i | −1.89500 | − | 0.461394i | ||||
\(533\) | −20.6527 | − | 7.63343i | −0.894568 | − | 0.330641i | ||||
\(534\) | 14.1623 | + | 18.0243i | 0.612864 | + | 0.779988i | ||||
\(535\) | 1.40326 | + | 8.85981i | 0.0606681 | + | 0.383043i | ||||
\(536\) | 26.0892 | − | 0.899127i | 1.12688 | − | 0.0388364i | ||||
\(537\) | 18.1904 | − | 5.91041i | 0.784973 | − | 0.255053i | ||||
\(538\) | −5.85111 | − | 29.6645i | −0.252259 | − | 1.27893i | ||||
\(539\) | 3.23823 | − | 13.4882i | 0.139480 | − | 0.580977i | ||||
\(540\) | 1.86949 | + | 0.00600733i | 0.0804501 | + | 0.000258514i | ||||
\(541\) | −21.0699 | + | 10.7356i | −0.905864 | + | 0.461561i | −0.843889 | − | 0.536517i | \(-0.819740\pi\) |
−0.0619744 | + | 0.998078i | \(0.519740\pi\) | |||||||
\(542\) | −0.282735 | + | 2.35637i | −0.0121445 | + | 0.101215i | ||||
\(543\) | 21.5975 | + | 7.01744i | 0.926836 | + | 0.301147i | ||||
\(544\) | 18.9474 | + | 10.8119i | 0.812364 | + | 0.463557i | ||||
\(545\) | −9.83492 | − | 0.774025i | −0.421282 | − | 0.0331556i | ||||
\(546\) | 40.2955 | + | 14.9394i | 1.72449 | + | 0.639347i | ||||
\(547\) | −5.66280 | − | 13.6712i | −0.242124 | − | 0.584539i | 0.755369 | − | 0.655299i | \(-0.227457\pi\) |
−0.997493 | + | 0.0707604i | \(0.977457\pi\) | |||||||
\(548\) | −8.46232 | − | 16.7410i | −0.361493 | − | 0.715141i | ||||
\(549\) | 16.6645 | − | 12.1075i | 0.711225 | − | 0.516735i | ||||
\(550\) | −8.65555 | + | 7.97536i | −0.369074 | + | 0.340070i | ||||
\(551\) | −24.0473 | + | 33.0982i | −1.02445 | + | 1.41003i | ||||
\(552\) | −11.6781 | − | 1.43931i | −0.497053 | − | 0.0612609i | ||||
\(553\) | 0.786360 | − | 4.96488i | 0.0334394 | − | 0.211128i | ||||
\(554\) | 29.2175 | − | 16.3010i | 1.24133 | − | 0.692562i | ||||
\(555\) | 9.16419 | − | 14.9546i | 0.388998 | − | 0.634787i | ||||
\(556\) | 8.28632 | − | 7.03126i | 0.351418 | − | 0.298192i | ||||
\(557\) | −26.0149 | + | 2.04742i | −1.10229 | + | 0.0867518i | −0.616522 | − | 0.787338i | \(-0.711459\pi\) |
−0.485764 | + | 0.874090i | \(0.661459\pi\) | |||||||
\(558\) | 1.38860 | − | 4.89348i | 0.0587840 | − | 0.207158i | ||||
\(559\) | −19.6845 | + | 16.8121i | −0.832564 | + | 0.711077i | ||||
\(560\) | 12.8651 | + | 1.09574i | 0.543651 | + | 0.0463036i | ||||
\(561\) | 15.1128 | − | 9.26112i | 0.638062 | − | 0.391005i | ||||
\(562\) | 7.76786 | + | 11.6660i | 0.327667 | + | 0.492099i | ||||
\(563\) | 21.9549 | + | 18.7513i | 0.925289 | + | 0.790271i | 0.978057 | − | 0.208335i | \(-0.0668046\pi\) |
−0.0527686 | + | 0.998607i | \(0.516805\pi\) | |||||||
\(564\) | 18.0915 | − | 29.3108i | 0.761789 | − | 1.23421i | ||||
\(565\) | 6.91003 | − | 6.91003i | 0.290707 | − | 0.290707i | ||||
\(566\) | −0.289475 | + | 0.625276i | −0.0121675 | + | 0.0262823i | ||||
\(567\) | 37.1464 | − | 8.91806i | 1.56000 | − | 0.374523i | ||||
\(568\) | −1.58836 | − | 8.19137i | −0.0666461 | − | 0.343702i | ||||
\(569\) | 5.25561 | + | 2.67787i | 0.220327 | + | 0.112262i | 0.560670 | − | 0.828039i | \(-0.310543\pi\) |
−0.340344 | + | 0.940301i | \(0.610543\pi\) | |||||||
\(570\) | −14.2312 | − | 9.54208i | −0.596078 | − | 0.399674i | ||||
\(571\) | −22.1776 | − | 9.18625i | −0.928102 | − | 0.384432i | −0.133144 | − | 0.991097i | \(-0.542507\pi\) |
−0.794958 | + | 0.606664i | \(0.792507\pi\) | |||||||
\(572\) | −1.09689 | + | 13.3872i | −0.0458634 | + | 0.559748i | ||||
\(573\) | 20.4769i | 0.855436i | ||||||||
\(574\) | −33.5988 | + | 5.24530i | −1.40238 | + | 0.218935i | ||||
\(575\) | 7.53279i | 0.314139i | ||||||||
\(576\) | 10.7747 | − | 17.2082i | 0.448947 | − | 0.717008i | ||||
\(577\) | 22.8118 | + | 9.44896i | 0.949668 | + | 0.393365i | 0.803106 | − | 0.595836i | \(-0.203179\pi\) |
0.146562 | + | 0.989201i | \(0.453179\pi\) | |||||||
\(578\) | 1.67601 | − | 2.49962i | 0.0697129 | − | 0.103971i | ||||
\(579\) | −3.76273 | − | 1.91721i | −0.156374 | − | 0.0796764i | ||||
\(580\) | 5.36457 | − | 10.4454i | 0.222751 | − | 0.433723i | ||||
\(581\) | 47.8032 | − | 11.4765i | 1.98321 | − | 0.476126i | ||||
\(582\) | 33.1437 | + | 15.3441i | 1.37385 | + | 0.636031i | ||||
\(583\) | 5.32914 | − | 5.32914i | 0.220710 | − | 0.220710i | ||||
\(584\) | −33.0067 | + | 3.74537i | −1.36583 | + | 0.154985i | ||||
\(585\) | 5.70411 | + | 4.87177i | 0.235836 | + | 0.201423i | ||||
\(586\) | 1.23655 | − | 0.823363i | 0.0510812 | − | 0.0340128i | ||||
\(587\) | −6.84398 | + | 4.19399i | −0.282481 | + | 0.173105i | −0.656521 | − | 0.754308i | \(-0.727972\pi\) |
0.374039 | + | 0.927413i | \(0.377972\pi\) | |||||||
\(588\) | 33.0324 | − | 5.12307i | 1.36223 | − | 0.211272i | ||||
\(589\) | 6.45488 | − | 5.51299i | 0.265969 | − | 0.227159i | ||||
\(590\) | 14.5012 | + | 4.11494i | 0.597006 | + | 0.169409i | ||||
\(591\) | 27.9326 | − | 2.19834i | 1.14899 | − | 0.0904276i | ||||
\(592\) | 15.5469 | + | 31.0034i | 0.638973 | + | 1.27423i | ||||
\(593\) | 10.0974 | − | 16.4774i | 0.414649 | − | 0.676646i | −0.575320 | − | 0.817928i | \(-0.695122\pi\) |
0.989969 | + | 0.141282i | \(0.0451224\pi\) | |||||||
\(594\) | 1.46345 | + | 2.62306i | 0.0600462 | + | 0.107625i | ||||
\(595\) | −1.94733 | + | 12.2950i | −0.0798329 | + | 0.504045i | ||||
\(596\) | 27.2694 | − | 27.0947i | 1.11700 | − | 1.10984i | ||||
\(597\) | −27.7139 | + | 38.1449i | −1.13425 | + | 1.56117i | ||||
\(598\) | 5.82534 | + | 6.32217i | 0.238216 | + | 0.258533i | ||||
\(599\) | 3.75901 | − | 2.73108i | 0.153589 | − | 0.111589i | −0.508337 | − | 0.861158i | \(-0.669739\pi\) |
0.661926 | + | 0.749570i | \(0.269739\pi\) | |||||||
\(600\) | −25.6996 | − | 11.9982i | −1.04918 | − | 0.489826i | ||||
\(601\) | 10.5326 | + | 25.4279i | 0.429632 | + | 1.03722i | 0.979404 | + | 0.201910i | \(0.0647147\pi\) |
−0.549772 | + | 0.835315i | \(0.685285\pi\) | |||||||
\(602\) | −13.8981 | + | 37.4870i | −0.566446 | + | 1.52786i | ||||
\(603\) | 23.3510 | + | 1.83777i | 0.950927 | + | 0.0748396i | ||||
\(604\) | 29.7871 | − | 21.4957i | 1.21202 | − | 0.874648i | ||||
\(605\) | −5.87406 | − | 1.90860i | −0.238814 | − | 0.0775955i | ||||
\(606\) | −47.6052 | − | 5.71202i | −1.93383 | − | 0.232035i | ||||
\(607\) | −10.2705 | + | 5.23309i | −0.416868 | + | 0.212405i | −0.649828 | − | 0.760082i | \(-0.725159\pi\) |
0.232960 | + | 0.972486i | \(0.425159\pi\) | |||||||
\(608\) | 30.8828 | − | 13.9374i | 1.25246 | − | 0.565238i | ||||
\(609\) | 14.0914 | − | 58.6948i | 0.571012 | − | 2.37844i | ||||
\(610\) | −9.67985 | + | 1.90928i | −0.391926 | + | 0.0773045i | ||||
\(611\) | −23.9340 | + | 7.77663i | −0.968266 | + | 0.314609i | ||||
\(612\) | 15.7989 | + | 11.5563i | 0.638633 | + | 0.467137i | ||||
\(613\) | 0.680693 | + | 4.29773i | 0.0274929 | + | 0.173584i | 0.997614 | − | 0.0690375i | \(-0.0219928\pi\) |
−0.970121 | + | 0.242621i | \(0.921993\pi\) | |||||||
\(614\) | 20.0823 | − | 15.7794i | 0.810456 | − | 0.636804i | ||||
\(615\) | −12.7018 | − | 2.53456i | −0.512185 | − | 0.102203i | ||||
\(616\) | 8.59417 | + | 18.8810i | 0.346269 | + | 0.760738i | ||||
\(617\) | 22.1472 | − | 3.50777i | 0.891613 | − | 0.141218i | 0.306214 | − | 0.951963i | \(-0.400938\pi\) |
0.585399 | + | 0.810745i | \(0.300938\pi\) | |||||||
\(618\) | −36.9512 | + | 10.3573i | −1.48640 | + | 0.416630i | ||||
\(619\) | 5.67146 | + | 17.4549i | 0.227955 | + | 0.701573i | 0.997978 | + | 0.0635575i | \(0.0202446\pi\) |
−0.770023 | + | 0.638016i | \(0.779755\pi\) | |||||||
\(620\) | −1.58829 | + | 1.84759i | −0.0637871 | + | 0.0742009i | ||||
\(621\) | 1.86929 | + | 0.448778i | 0.0750122 | + | 0.0180088i | ||||
\(622\) | 19.0710 | + | 15.0841i | 0.764679 | + | 0.604819i | ||||
\(623\) | −11.7427 | − | 23.0464i | −0.470463 | − | 0.923335i | ||||
\(624\) | −30.8480 | + | 9.80438i | −1.23491 | + | 0.392489i | ||||
\(625\) | −4.46935 | + | 13.7553i | −0.178774 | + | 0.550210i | ||||
\(626\) | −28.9246 | − | 1.18300i | −1.15606 | − | 0.0472822i | ||||
\(627\) | 2.15990 | − | 27.4441i | 0.0862580 | − | 1.09601i | ||||
\(628\) | −20.1121 | + | 6.46344i | −0.802560 | + | 0.257919i | ||||
\(629\) | −30.8928 | + | 12.7962i | −1.23178 | + | 0.510219i | ||||
\(630\) | 11.3592 | + | 2.27846i | 0.452560 | + | 0.0907758i | ||||
\(631\) | 12.0632 | + | 16.6035i | 0.480227 | + | 0.660975i | 0.978548 | − | 0.206017i | \(-0.0660502\pi\) |
−0.498322 | + | 0.866992i | \(0.666050\pi\) | |||||||
\(632\) | 1.83401 | + | 3.31221i | 0.0729531 | + | 0.131753i | ||||
\(633\) | −33.9298 | − | 24.6515i | −1.34859 | − | 0.979808i | ||||
\(634\) | 3.36157 | + | 28.7981i | 0.133505 | + | 1.14372i | ||||
\(635\) | −1.66735 | − | 0.264083i | −0.0661670 | − | 0.0104798i | ||||
\(636\) | 16.7566 | + | 7.00399i | 0.664443 | + | 0.277726i | ||||
\(637\) | −20.8236 | − | 12.7607i | −0.825062 | − | 0.505599i | ||||
\(638\) | 18.8530 | − | 0.710401i | 0.746397 | − | 0.0281250i | ||||
\(639\) | −0.587412 | − | 7.46378i | −0.0232377 | − | 0.295263i | ||||
\(640\) | −8.14618 | + | 5.31157i | −0.322006 | + | 0.209958i | ||||
\(641\) | 15.7814 | + | 18.4776i | 0.623326 | + | 0.729821i | 0.978789 | − | 0.204869i | \(-0.0656769\pi\) |
−0.355463 | + | 0.934690i | \(0.615677\pi\) | |||||||
\(642\) | −30.2751 | − | 17.0188i | −1.19486 | − | 0.671679i | ||||
\(643\) | −19.7947 | − | 32.3021i | −0.780629 | − | 1.27387i | −0.957156 | − | 0.289574i | \(-0.906486\pi\) |
0.176527 | − | 0.984296i | \(-0.443514\pi\) | |||||||
\(644\) | 12.6141 | + | 4.14341i | 0.497063 | + | 0.163273i | ||||
\(645\) | −9.88968 | + | 11.5793i | −0.389406 | + | 0.455936i | ||||
\(646\) | 11.2570 | + | 30.6650i | 0.442900 | + | 1.20650i | ||||
\(647\) | −13.7618 | − | 13.7618i | −0.541031 | − | 0.541031i | 0.382800 | − | 0.923831i | \(-0.374960\pi\) |
−0.923831 | + | 0.382800i | \(0.874960\pi\) | |||||||
\(648\) | −17.9219 | + | 22.5098i | −0.704038 | + | 0.884268i | ||||
\(649\) | 5.65374 | + | 23.5495i | 0.221929 | + | 0.924400i | ||||
\(650\) | 8.64524 | + | 18.8325i | 0.339094 | + | 0.738671i | ||||
\(651\) | −5.68605 | + | 11.1595i | −0.222854 | + | 0.437376i | ||||
\(652\) | 1.18730 | + | 15.7323i | 0.0464984 | + | 0.616123i | ||||
\(653\) | −7.57706 | + | 18.2926i | −0.296513 | + | 0.715847i | 0.703473 | + | 0.710722i | \(0.251631\pi\) |
−0.999987 | + | 0.00512517i | \(0.998369\pi\) | |||||||
\(654\) | 25.9726 | − | 28.0066i | 1.01561 | − | 1.09515i | ||||
\(655\) | 2.26806 | 0.0886204 | ||||||||
\(656\) | 17.5176 | − | 18.6851i | 0.683949 | − | 0.729530i | ||||
\(657\) | −29.8063 | −1.16286 | ||||||||
\(658\) | −26.4286 | + | 28.4983i | −1.03029 | + | 1.11098i | ||||
\(659\) | 6.90254 | − | 16.6642i | 0.268885 | − | 0.649146i | −0.730546 | − | 0.682863i | \(-0.760735\pi\) |
0.999431 | + | 0.0337173i | \(0.0107346\pi\) | |||||||
\(660\) | 0.594621 | + | 7.87898i | 0.0231456 | + | 0.306689i | ||||
\(661\) | −4.44872 | + | 8.73110i | −0.173035 | + | 0.339601i | −0.961195 | − | 0.275870i | \(-0.911034\pi\) |
0.788160 | + | 0.615471i | \(0.211034\pi\) | |||||||
\(662\) | −7.50496 | − | 16.3486i | −0.291689 | − | 0.635405i | ||||
\(663\) | −7.28505 | − | 30.3444i | −0.282928 | − | 1.17848i | ||||
\(664\) | −23.0634 | + | 28.9675i | −0.895034 | + | 1.12416i | ||||
\(665\) | 13.6711 | + | 13.6711i | 0.530144 | + | 0.530144i | ||||
\(666\) | 10.7244 | + | 29.2142i | 0.415562 | + | 1.13203i | ||||
\(667\) | 7.84196 | − | 9.18176i | 0.303642 | − | 0.355519i | ||||
\(668\) | 7.62635 | + | 2.50507i | 0.295072 | + | 0.0969242i | ||||
\(669\) | −33.3146 | − | 54.3645i | −1.28802 | − | 2.10185i | ||||
\(670\) | −9.78001 | − | 5.49773i | −0.377835 | − | 0.212396i | ||||
\(671\) | −10.2951 | − | 12.0540i | −0.397437 | − | 0.465339i | ||||
\(672\) | −34.2278 | + | 36.4358i | −1.32036 | + | 1.40554i | ||||
\(673\) | −3.20254 | − | 40.6921i | −0.123449 | − | 1.56857i | −0.677146 | − | 0.735849i | \(-0.736784\pi\) |
0.553697 | − | 0.832718i | \(-0.313216\pi\) | |||||||
\(674\) | 36.3060 | − | 1.36805i | 1.39845 | − | 0.0526952i | ||||
\(675\) | 3.95102 | + | 2.42119i | 0.152075 | + | 0.0931917i | ||||
\(676\) | −2.16918 | − | 0.906681i | −0.0834300 | − | 0.0348723i | ||||
\(677\) | 7.58826 | + | 1.20186i | 0.291641 | + | 0.0461913i | 0.300541 | − | 0.953769i | \(-0.402833\pi\) |
−0.00889983 | + | 0.999960i | \(0.502833\pi\) | |||||||
\(678\) | 4.38675 | + | 37.5807i | 0.168472 | + | 1.44328i | ||||
\(679\) | −33.3414 | − | 24.2240i | −1.27953 | − | 0.929630i | ||||
\(680\) | −4.54173 | − | 8.20232i | −0.174167 | − | 0.314545i | ||||
\(681\) | −8.54358 | − | 11.7592i | −0.327391 | − | 0.450614i | ||||
\(682\) | −3.83812 | − | 0.769863i | −0.146969 | − | 0.0294796i | ||||
\(683\) | −30.8408 | + | 12.7747i | −1.18009 | + | 0.488810i | −0.884516 | − | 0.466510i | \(-0.845511\pi\) |
−0.295575 | + | 0.955320i | \(0.595511\pi\) | |||||||
\(684\) | 28.9438 | − | 9.30170i | 1.10669 | − | 0.355659i | ||||
\(685\) | −0.632535 | + | 8.03712i | −0.0241679 | + | 0.307083i | ||||
\(686\) | −0.542889 | − | 0.0222038i | −0.0207276 | − | 0.000847746i | ||||
\(687\) | 5.58545 | − | 17.1903i | 0.213098 | − | 0.655849i | ||||
\(688\) | −9.12104 | − | 28.6979i | −0.347736 | − | 1.09410i | ||||
\(689\) | −6.02403 | − | 11.8228i | −0.229497 | − | 0.450414i | ||||
\(690\) | 3.96633 | + | 3.13715i | 0.150996 | + | 0.119429i | ||||
\(691\) | 48.0284 | + | 11.5306i | 1.82709 | + | 0.438645i | 0.993509 | − | 0.113757i | \(-0.0362884\pi\) |
0.833578 | + | 0.552401i | \(0.186288\pi\) | |||||||
\(692\) | −21.9087 | + | 25.4855i | −0.832842 | + | 0.968812i | ||||
\(693\) | 5.75205 | + | 17.7030i | 0.218502 | + | 0.672481i | ||||
\(694\) | −7.28373 | + | 2.04160i | −0.276487 | + | 0.0774980i | ||||
\(695\) | −4.61314 | + | 0.730650i | −0.174986 | + | 0.0277151i | ||||
\(696\) | 18.8347 | + | 41.3792i | 0.713929 | + | 1.56847i | ||||
\(697\) | 16.7507 | + | 18.1429i | 0.634478 | + | 0.687211i | ||||
\(698\) | −9.38518 | + | 7.37426i | −0.355234 | + | 0.279120i | ||||
\(699\) | 5.96104 | + | 37.6365i | 0.225467 | + | 1.42354i | ||||
\(700\) | 25.8311 | + | 18.8945i | 0.976322 | + | 0.714144i | ||||
\(701\) | 9.70184 | − | 3.15232i | 0.366433 | − | 0.119061i | −0.120012 | − | 0.992772i | \(-0.538293\pi\) |
0.486445 | + | 0.873711i | \(0.338293\pi\) | |||||||
\(702\) | 5.18842 | − | 1.02338i | 0.195824 | − | 0.0386249i | ||||
\(703\) | −12.1238 | + | 50.4993i | −0.457258 | + | 1.90462i | ||||
\(704\) | −13.8527 | − | 7.22735i | −0.522093 | − | 0.272391i | ||||
\(705\) | −13.1901 | + | 6.72072i | −0.496770 | + | 0.253117i | ||||
\(706\) | −2.30074 | − | 0.276060i | −0.0865896 | − | 0.0103896i | ||||
\(707\) | 51.4544 | + | 16.7186i | 1.93514 | + | 0.628766i | ||||
\(708\) | −47.3259 | + | 34.1525i | −1.77862 | + | 1.28353i | ||||
\(709\) | −9.65728 | − | 0.760045i | −0.362687 | − | 0.0285441i | −0.104193 | − | 0.994557i | \(-0.533226\pi\) |
−0.258494 | + | 0.966013i | \(0.583226\pi\) | |||||||
\(710\) | −1.24661 | + | 3.36243i | −0.0467844 | + | 0.126190i | ||||
\(711\) | 1.30004 | + | 3.13857i | 0.0487553 | + | 0.117706i | ||||
\(712\) | 17.6525 | + | 8.24130i | 0.661554 | + | 0.308856i | ||||
\(713\) | −2.02691 | + | 1.47263i | −0.0759082 | + | 0.0551506i | ||||
\(714\) | −32.6590 | − | 35.4444i | −1.22223 | − | 1.32647i | ||||
\(715\) | 3.39321 | − | 4.67035i | 0.126899 | − | 0.174661i | ||||
\(716\) | 11.5311 | − | 11.4572i | 0.430936 | − | 0.428175i | ||||
\(717\) | 3.41454 | − | 21.5586i | 0.127518 | − | 0.805119i | ||||
\(718\) | 8.97391 | + | 16.0846i | 0.334904 | + | 0.600273i | ||||
\(719\) | −3.61393 | + | 5.89740i | −0.134777 | + | 0.219936i | −0.912907 | − | 0.408167i | \(-0.866168\pi\) |
0.778131 | + | 0.628103i | \(0.216168\pi\) | |||||||
\(720\) | −7.80015 | + | 3.91144i | −0.290695 | + | 0.145771i | ||||
\(721\) | 43.1687 | − | 3.39745i | 1.60769 | − | 0.126528i | ||||
\(722\) | 22.9583 | + | 6.51476i | 0.854421 | + | 0.242454i | ||||
\(723\) | 26.5242 | − | 22.6538i | 0.986447 | − | 0.842506i | ||||
\(724\) | 19.0719 | − | 2.95790i | 0.708800 | − | 0.109929i | ||||
\(725\) | 24.8167 | − | 15.2077i | 0.921668 | − | 0.564799i | ||||
\(726\) | 19.9045 | − | 13.2536i | 0.738727 | − | 0.491887i | ||||
\(727\) | −28.1823 | − | 24.0700i | −1.04523 | − | 0.892707i | −0.0508591 | − | 0.998706i | \(-0.516196\pi\) |
−0.994366 | + | 0.105999i | \(0.966196\pi\) | |||||||
\(728\) | 36.2913 | − | 4.11809i | 1.34505 | − | 0.152626i | ||||
\(729\) | −12.8270 | + | 12.8270i | −0.475073 | + | 0.475073i | ||||
\(730\) | 12.9557 | + | 5.99792i | 0.479512 | + | 0.221993i | ||||
\(731\) | 28.2295 | − | 6.77729i | 1.04410 | − | 0.250667i | ||||
\(732\) | 17.4518 | − | 33.9807i | 0.645037 | − | 1.25596i | ||||
\(733\) | 10.1521 | + | 5.17277i | 0.374977 | + | 0.191060i | 0.631314 | − | 0.775527i | \(-0.282516\pi\) |
−0.256337 | + | 0.966587i | \(0.582516\pi\) | |||||||
\(734\) | −7.89846 | + | 11.7799i | −0.291537 | + | 0.434803i | ||||
\(735\) | −13.2729 | − | 5.49781i | −0.489578 | − | 0.202790i | ||||
\(736\) | −9.40950 | + | 3.38572i | −0.346839 | + | 0.124799i | ||||
\(737\) | − | 18.0259i | − | 0.663991i | ||||||
\(738\) | 17.5083 | − | 14.8866i | 0.644490 | − | 0.547984i | ||||
\(739\) | − | 40.0675i | − | 1.47391i | −0.675943 | − | 0.736954i | \(-0.736264\pi\) | ||
0.675943 | − | 0.736954i | \(-0.263736\pi\) | |||||||
\(740\) | 1.21727 | − | 14.8564i | 0.0447478 | − | 0.546132i | ||||
\(741\) | −44.7790 | − | 18.5481i | −1.64500 | − | 0.681380i | ||||
\(742\) | −17.0212 | − | 11.4128i | −0.624866 | − | 0.418976i | ||||
\(743\) | −33.5346 | − | 17.0867i | −1.23027 | − | 0.626852i | −0.286695 | − | 0.958022i | \(-0.592557\pi\) |
−0.943571 | + | 0.331170i | \(0.892557\pi\) | |||||||
\(744\) | −1.79573 | − | 9.26082i | −0.0658347 | − | 0.339518i | ||||
\(745\) | −16.0649 | + | 3.85685i | −0.588574 | + | 0.141304i | ||||
\(746\) | 4.53735 | − | 9.80082i | 0.166124 | − | 0.358834i | ||||
\(747\) | −23.4930 | + | 23.4930i | −0.859563 | + | 0.859563i | ||||
\(748\) | 7.91208 | − | 12.8187i | 0.289294 | − | 0.468698i | ||||
\(749\) | 29.8000 | + | 25.4516i | 1.08887 | + | 0.929982i | ||||
\(750\) | 14.6833 | + | 22.0517i | 0.536158 | + | 0.805215i | ||||
\(751\) | 2.95929 | − | 1.81346i | 0.107986 | − | 0.0661740i | −0.467457 | − | 0.884016i | \(-0.654830\pi\) |
0.575443 | + | 0.817842i | \(0.304830\pi\) | |||||||
\(752\) | 2.48429 | − | 29.1681i | 0.0905929 | − | 1.06365i | ||||
\(753\) | −39.6705 | + | 33.8818i | −1.44567 | + | 1.23472i | ||||
\(754\) | 9.06772 | − | 31.9551i | 0.330227 | − | 1.16374i | ||||
\(755\) | −15.7387 | + | 1.23866i | −0.572789 | + | 0.0450795i | ||||
\(756\) | 6.22767 | − | 5.28442i | 0.226498 | − | 0.192193i | ||||
\(757\) | −2.22690 | + | 3.63398i | −0.0809382 | + | 0.132079i | −0.890548 | − | 0.454889i | \(-0.849679\pi\) |
0.809610 | + | 0.586969i | \(0.199679\pi\) | |||||||
\(758\) | −2.32729 | + | 1.29844i | −0.0845310 | + | 0.0471614i | ||||
\(759\) | −1.27103 | + | 8.02497i | −0.0461355 | + | 0.291288i | ||||
\(760\) | −14.4526 | − | 1.78125i | −0.524250 | − | 0.0646129i | ||||
\(761\) | −28.3675 | + | 39.0446i | −1.02832 | + | 1.41536i | −0.122122 | + | 0.992515i | \(0.538970\pi\) |
−0.906200 | + | 0.422849i | \(0.861030\pi\) | |||||||
\(762\) | 4.80671 | − | 4.42897i | 0.174129 | − | 0.160445i | ||||
\(763\) | −34.8687 | + | 25.3336i | −1.26233 | + | 0.917138i | ||||
\(764\) | 7.85090 | + | 15.5314i | 0.284036 | + | 0.561908i | ||||
\(765\) | −3.21940 | − | 7.77232i | −0.116398 | − | 0.281009i | ||||
\(766\) | 10.2830 | + | 3.81238i | 0.371540 | + | 0.137747i | ||||
\(767\) | 42.5088 | + | 3.34551i | 1.53490 | + | 0.120799i | ||||
\(768\) | 3.43638 | − | 37.4952i | 0.124000 | − | 1.35299i | ||||
\(769\) | −11.5199 | − | 3.74304i | −0.415418 | − | 0.134977i | 0.0938483 | − | 0.995587i | \(-0.470083\pi\) |
−0.509266 | + | 0.860609i | \(0.670083\pi\) | |||||||
\(770\) | 1.06217 | − | 8.85232i | 0.0382778 | − | 0.319015i | ||||
\(771\) | −31.6673 | + | 16.1353i | −1.14047 | + | 0.581098i | ||||
\(772\) | −3.58903 | − | 0.0115328i | −0.129172 | − | 0.000415076i | ||||
\(773\) | −6.22565 | + | 25.9317i | −0.223921 | + | 0.932699i | 0.741281 | + | 0.671195i | \(0.234218\pi\) |
−0.965202 | + | 0.261504i | \(0.915782\pi\) | |||||||
\(774\) | −5.22863 | − | 26.5086i | −0.187939 | − | 0.952832i | ||||
\(775\) | −5.74354 | + | 1.86619i | −0.206314 | + | 0.0670355i | ||||
\(776\) | 31.0219 | − | 1.06912i | 1.11362 | − | 0.0383793i | ||||
\(777\) | −11.9869 | − | 75.6825i | −0.430029 | − | 2.71509i | ||||
\(778\) | 13.5297 | + | 17.2191i | 0.485062 | + | 0.617335i | ||||
\(779\) | 38.0889 | − | 4.48467i | 1.36467 | − | 0.160680i | ||||
\(780\) | 13.5165 | + | 3.29101i | 0.483970 | + | 0.117837i | ||||
\(781\) | −5.69074 | + | 0.901325i | −0.203631 | + | 0.0322519i | ||||
\(782\) | −2.60208 | − | 9.28335i | −0.0930503 | − | 0.331972i | ||||
\(783\) | −2.29536 | − | 7.06439i | −0.0820295 | − | 0.252461i | ||||
\(784\) | 23.0904 | − | 16.5505i | 0.824657 | − | 0.591089i | ||||
\(785\) | 8.82837 | + | 2.11950i | 0.315098 | + | 0.0756483i | ||||
\(786\) | −5.44757 | + | 6.88743i | −0.194309 | + | 0.245666i | ||||
\(787\) | 7.06784 | + | 13.8714i | 0.251941 | + | 0.494463i | 0.981990 | − | 0.188932i | \(-0.0605027\pi\) |
−0.730049 | + | 0.683395i | \(0.760503\pi\) | |||||||
\(788\) | 20.3436 | − | 12.3768i | 0.724710 | − | 0.440906i | ||||
\(789\) | 5.06148 | − | 15.5776i | 0.180193 | − | 0.554578i | ||||
\(790\) | 0.0664953 | − | 1.62583i | 0.00236580 | − | 0.0578444i | ||||
\(791\) | 3.34969 | − | 42.5618i | 0.119101 | − | 1.51332i | ||||
\(792\) | −11.6193 | − | 7.84505i | −0.412874 | − | 0.278762i | ||||
\(793\) | −25.7851 | + | 10.6805i | −0.915657 | + | 0.379277i | ||||
\(794\) | −9.04962 | + | 45.1166i | −0.321159 | + | 1.60113i | ||||
\(795\) | −4.58795 | − | 6.31478i | −0.162718 | − | 0.223962i | ||||
\(796\) | −6.39572 | + | 39.5579i | −0.226690 | + | 1.40209i | ||||
\(797\) | 10.3571 | + | 7.52489i | 0.366868 | + | 0.266545i | 0.755911 | − | 0.654674i | \(-0.227194\pi\) |
−0.389043 | + | 0.921220i | \(0.627194\pi\) | |||||||
\(798\) | −74.3514 | + | 8.67896i | −2.63201 | + | 0.307232i | ||||
\(799\) | 27.8755 | + | 4.41504i | 0.986163 | + | 0.156193i | ||||
\(800\) | −24.0929 | + | 0.752825i | −0.851814 | + | 0.0266164i | ||||
\(801\) | 14.9045 | + | 9.13346i | 0.526623 | + | 0.322715i | ||||
\(802\) | −1.26321 | − | 33.5237i | −0.0446055 | − | 1.18376i | ||||
\(803\) | 1.79970 | + | 22.8674i | 0.0635102 | + | 0.806973i | ||||
\(804\) | 40.1853 | − | 16.4942i | 1.41723 | − | 0.581706i | ||||
\(805\) | −3.70593 | − | 4.33909i | −0.130617 | − | 0.152933i | ||||
\(806\) | −3.37729 | + | 6.00793i | −0.118960 | + | 0.211620i | ||||
\(807\) | −26.2886 | − | 42.8991i | −0.925403 | − | 1.51012i | ||||
\(808\) | −38.2978 | + | 13.9195i | −1.34731 | + | 0.489685i | ||||
\(809\) | −11.3490 | + | 13.2879i | −0.399008 | + | 0.467179i | −0.923143 | − | 0.384457i | \(-0.874389\pi\) |
0.524135 | + | 0.851635i | \(0.324389\pi\) | |||||||
\(810\) | 11.6086 | − | 4.26148i | 0.407886 | − | 0.149733i | ||||
\(811\) | −2.51167 | − | 2.51167i | −0.0881967 | − | 0.0881967i | 0.661632 | − | 0.749829i | \(-0.269864\pi\) |
−0.749829 | + | 0.661632i | \(0.769864\pi\) | |||||||
\(812\) | −11.8156 | − | 49.9218i | −0.414648 | − | 1.75191i | ||||
\(813\) | 0.921913 | + | 3.84005i | 0.0323329 | + | 0.134676i | ||||
\(814\) | 21.7656 | − | 9.99171i | 0.762884 | − | 0.350209i | ||||
\(815\) | 3.07836 | − | 6.04163i | 0.107830 | − | 0.211629i | ||||
\(816\) | 35.8166 | + | 5.90900i | 1.25383 | + | 0.206856i | ||||
\(817\) | 17.2553 | − | 41.6580i | 0.603686 | − | 1.45743i | ||||
\(818\) | −20.2969 | − | 18.8228i | −0.709664 | − | 0.658124i | ||||
\(819\) | 32.7725 | 1.14516 | ||||||||
\(820\) | −10.6059 | + | 2.94746i | −0.370372 | + | 0.102930i | ||||
\(821\) | 2.25389 | 0.0786613 | 0.0393307 | − | 0.999226i | \(-0.487477\pi\) | ||||
0.0393307 | + | 0.999226i | \(0.487477\pi\) | |||||||
\(822\) | −22.8871 | − | 21.2249i | −0.798279 | − | 0.740304i | ||||
\(823\) | 3.29783 | − | 7.96166i | 0.114955 | − | 0.277526i | −0.855922 | − | 0.517105i | \(-0.827010\pi\) |
0.970877 | + | 0.239579i | \(0.0770096\pi\) | |||||||
\(824\) | −24.0559 | + | 22.0230i | −0.838028 | + | 0.767207i | ||||
\(825\) | −8.89135 | + | 17.4503i | −0.309557 | + | 0.607540i | ||||
\(826\) | 59.8499 | − | 27.4747i | 2.08245 | − | 0.955967i | ||||
\(827\) | 4.63203 | + | 19.2938i | 0.161071 | + | 0.670910i | 0.993209 | + | 0.116342i | \(0.0371168\pi\) |
−0.832138 | + | 0.554569i | \(0.812883\pi\) | |||||||
\(828\) | −8.73165 | + | 2.06663i | −0.303446 | + | 0.0718204i | ||||
\(829\) | 14.1675 | + | 14.1675i | 0.492059 | + | 0.492059i | 0.908955 | − | 0.416895i | \(-0.136882\pi\) |
−0.416895 | + | 0.908955i | \(0.636882\pi\) | |||||||
\(830\) | 14.9390 | − | 5.48404i | 0.518541 | − | 0.190354i | ||||
\(831\) | 36.1569 | − | 42.3343i | 1.25427 | − | 1.46856i | ||||
\(832\) | −19.6387 | + | 19.2637i | −0.680849 | + | 0.667847i | ||||
\(833\) | 14.3110 | + | 23.3534i | 0.495845 | + | 0.809146i | ||||
\(834\) | 8.86138 | − | 15.7637i | 0.306845 | − | 0.545851i | ||||
\(835\) | −2.24057 | − | 2.62337i | −0.0775382 | − | 0.0907856i | ||||
\(836\) | −8.88389 | − | 21.6441i | −0.307256 | − | 0.748575i | ||||
\(837\) | 0.120923 | + | 1.53647i | 0.00417970 | + | 0.0531081i | ||||
\(838\) | 0.772536 | + | 20.5020i | 0.0266868 | + | 0.708229i | ||||
\(839\) | 4.40614 | + | 2.70009i | 0.152117 | + | 0.0932174i | 0.596474 | − | 0.802632i | \(-0.296568\pi\) |
−0.444357 | + | 0.895850i | \(0.646568\pi\) | |||||||
\(840\) | 20.7065 | − | 5.73223i | 0.714442 | − | 0.197781i | ||||
\(841\) | −17.4381 | − | 2.76192i | −0.601313 | − | 0.0952386i | ||||
\(842\) | −44.2220 | + | 5.16199i | −1.52399 | + | 0.177894i | ||||
\(843\) | 18.8679 | + | 13.7083i | 0.649845 | + | 0.472140i | ||||
\(844\) | −35.1867 | − | 5.68899i | −1.21118 | − | 0.195823i | ||||
\(845\) | 0.593920 | + | 0.817461i | 0.0204315 | + | 0.0281215i | ||||
\(846\) | 5.16577 | − | 25.7537i | 0.177603 | − | 0.885432i | ||||
\(847\) | −24.9295 | + | 10.3261i | −0.856588 | + | 0.354810i | ||||
\(848\) | 15.3950 | − | 1.11211i | 0.528666 | − | 0.0381900i | ||||
\(849\) | −0.0899580 | + | 1.14303i | −0.00308735 | + | 0.0392285i | ||||
\(850\) | 0.949684 | − | 23.2200i | 0.0325739 | − | 0.796440i | ||||
\(851\) | 4.73663 | − | 14.5779i | 0.162370 | − | 0.499722i | ||||
\(852\) | −7.21653 | − | 11.8617i | −0.247234 | − | 0.406375i | ||||
\(853\) | −4.62122 | − | 9.06966i | −0.158228 | − | 0.310539i | 0.798259 | − | 0.602314i | \(-0.205754\pi\) |
−0.956487 | + | 0.291774i | \(0.905754\pi\) | |||||||
\(854\) | −26.7401 | + | 33.8078i | −0.915028 | + | 1.15688i | ||||
\(855\) | −12.7051 | − | 3.05023i | −0.434506 | − | 0.104316i | ||||
\(856\) | −29.4882 | − | 1.30098i | −1.00789 | − | 0.0444665i | ||||
\(857\) | 4.00723 | + | 12.3330i | 0.136884 | + | 0.421286i | 0.995878 | − | 0.0906991i | \(-0.0289102\pi\) |
−0.858994 | + | 0.511985i | \(0.828910\pi\) | |||||||
\(858\) | 6.03244 | + | 21.5217i | 0.205944 | + | 0.734740i | ||||
\(859\) | 7.78586 | − | 1.23316i | 0.265650 | − | 0.0420749i | −0.0221883 | − | 0.999754i | \(-0.507063\pi\) |
0.287839 | + | 0.957679i | \(0.407063\pi\) | |||||||
\(860\) | −3.06163 | + | 12.5745i | −0.104401 | + | 0.428786i | ||||
\(861\) | −49.3879 | + | 27.6192i | −1.68313 | + | 0.941258i | ||||
\(862\) | 16.5513 | + | 21.0647i | 0.563739 | + | 0.717468i | ||||
\(863\) | −3.80346 | − | 24.0141i | −0.129471 | − | 0.817450i | −0.963887 | − | 0.266313i | \(-0.914194\pi\) |
0.834415 | − | 0.551136i | \(-0.185806\pi\) | |||||||
\(864\) | −1.24856 | + | 6.02362i | −0.0424768 | + | 0.204928i | ||||
\(865\) | 13.7372 | − | 4.46348i | 0.467078 | − | 0.151763i | ||||
\(866\) | −5.86964 | − | 29.7585i | −0.199459 | − | 1.01123i | ||||
\(867\) | 1.16906 | − | 4.86950i | 0.0397034 | − | 0.165377i | ||||
\(868\) | −0.0342041 | + | 10.6444i | −0.00116096 | + | 0.361293i | ||||
\(869\) | 2.32942 | − | 1.18690i | 0.0790200 | − | 0.0402627i | ||||
\(870\) | 2.32781 | − | 19.4005i | 0.0789203 | − | 0.657739i | ||||
\(871\) | −30.1836 | − | 9.80725i | −1.02273 | − | 0.332306i | ||||
\(872\) | 8.96205 | − | 31.2006i | 0.303493 | − | 1.05659i | ||||
\(873\) | 27.7660 | + | 2.18523i | 0.939737 | + | 0.0739589i | ||||
\(874\) | −14.0402 | − | 5.20534i | −0.474917 | − | 0.176073i | ||||
\(875\) | −11.4401 | − | 27.6187i | −0.386745 | − | 0.933684i | ||||
\(876\) | −49.3318 | + | 24.9364i | −1.66677 | + | 0.842524i | ||||
\(877\) | −38.9804 | + | 28.3209i | −1.31627 | + | 0.956330i | −0.316304 | + | 0.948658i | \(0.602442\pi\) |
−0.999971 | + | 0.00767174i | \(0.997558\pi\) | |||||||
\(878\) | 8.20809 | − | 7.56306i | 0.277010 | − | 0.255241i | ||||
\(879\) | 1.45303 | − | 1.99992i | 0.0490095 | − | 0.0674557i | ||||
\(880\) | 3.47183 | + | 5.74811i | 0.117035 | + | 0.193769i | ||||
\(881\) | 6.75208 | − | 42.6310i | 0.227483 | − | 1.43627i | −0.564349 | − | 0.825536i | \(-0.690873\pi\) |
0.791833 | − | 0.610738i | \(-0.209127\pi\) | |||||||
\(882\) | 22.2608 | − | 12.4197i | 0.749560 | − | 0.418193i | ||||
\(883\) | −12.1046 | + | 19.7528i | −0.407351 | + | 0.664736i | −0.988868 | − | 0.148798i | \(-0.952459\pi\) |
0.581517 | + | 0.813534i | \(0.302459\pi\) | |||||||
\(884\) | −17.1597 | − | 20.2227i | −0.577144 | − | 0.680162i | ||||
\(885\) | 25.0057 | − | 1.96799i | 0.840556 | − | 0.0661532i | ||||
\(886\) | −10.9547 | + | 38.6049i | −0.368030 | + | 1.29696i | ||||
\(887\) | 2.06129 | − | 1.76050i | 0.0692112 | − | 0.0591119i | −0.614170 | − | 0.789174i | \(-0.710509\pi\) |
0.683381 | + | 0.730062i | \(0.260509\pi\) | |||||||
\(888\) | 42.1908 | + | 39.3796i | 1.41583 | + | 1.32149i | ||||
\(889\) | −6.28840 | + | 3.85354i | −0.210906 | + | 0.129244i | ||||
\(890\) | −4.64049 | − | 6.96920i | −0.155550 | − | 0.233608i | ||||
\(891\) | 15.1080 | + | 12.9035i | 0.506138 | + | 0.432282i | ||||
\(892\) | −46.1121 | − | 28.4617i | −1.54395 | − | 0.952970i | ||||
\(893\) | 30.9955 | − | 30.9955i | 1.03722 | − | 1.03722i | ||||
\(894\) | 26.8737 | − | 58.0482i | 0.898792 | − | 1.94142i | ||||
\(895\) | −6.79318 | + | 1.63090i | −0.227071 | + | 0.0545149i | ||||
\(896\) | −11.9917 | + | 40.7590i | −0.400614 | + | 1.36166i | ||||
\(897\) | 12.7460 | + | 6.49440i | 0.425576 | + | 0.216842i | ||||
\(898\) | 29.0917 | + | 19.5061i | 0.970802 | + | 0.650927i | ||||
\(899\) | 8.94362 | + | 3.70457i | 0.298287 | + | 0.123554i | ||||
\(900\) | −21.5564 | − | 1.76624i | −0.718547 | − | 0.0588747i | ||||
\(901\) | 14.8811i | 0.495760i | ||||||||
\(902\) | −12.4782 | − | 12.5335i | −0.415477 | − | 0.417321i | ||||
\(903\) | 66.5280i | 2.21391i | ||||||||
\(904\) | 17.7358 | + | 26.8225i | 0.589884 | + | 0.892102i | ||||
\(905\) | −7.66335 | − | 3.17426i | −0.254738 | − | 0.105516i | ||||
\(906\) | 34.0407 | − | 50.7688i | 1.13093 | − | 1.68668i | ||||
\(907\) | 43.6981 | + | 22.2653i | 1.45097 | + | 0.739307i | 0.989045 | − | 0.147611i | \(-0.0471585\pi\) |
0.461926 | + | 0.886918i | \(0.347158\pi\) | |||||||
\(908\) | −10.9887 | − | 5.64357i | −0.364672 | − | 0.187288i | ||||
\(909\) | −35.5530 | + | 8.53551i | −1.17922 | + | 0.283105i | ||||
\(910\) | −14.2450 | − | 6.59479i | −0.472216 | − | 0.218615i | ||||
\(911\) | 18.7917 | − | 18.7917i | 0.622596 | − | 0.622596i | −0.323598 | − | 0.946195i | \(-0.604893\pi\) |
0.946195 | + | 0.323598i | \(0.104893\pi\) | |||||||
\(912\) | 40.1223 | − | 39.6099i | 1.32858 | − | 1.31161i | ||||
\(913\) | 19.4423 | + | 16.6053i | 0.643446 | + | 0.549555i | ||||
\(914\) | 0.708855 | − | 0.471996i | 0.0234468 | − | 0.0156122i | ||||
\(915\) | −13.9984 | + | 8.57825i | −0.462774 | + | 0.283588i | ||||
\(916\) | −2.35430 | − | 15.1800i | −0.0777884 | − | 0.501562i | ||||
\(917\) | 7.53471 | − | 6.43525i | 0.248818 | − | 0.212511i | ||||
\(918\) | −5.70557 | − | 1.61904i | −0.188312 | − | 0.0534363i | ||||
\(919\) | −27.0475 | + | 2.12868i | −0.892214 | + | 0.0702188i | −0.516272 | − | 0.856425i | \(-0.672681\pi\) |
−0.375942 | + | 0.926643i | \(0.622681\pi\) | |||||||
\(920\) | 4.21119 | + | 0.858780i | 0.138839 | + | 0.0283131i | ||||
\(921\) | 22.2056 | − | 36.2362i | 0.731699 | − | 1.19402i | ||||
\(922\) | 19.8774 | + | 35.6279i | 0.654629 | + | 1.17334i | ||||
\(923\) | −1.58690 | + | 10.0193i | −0.0522335 | + | 0.329789i | ||||
\(924\) | 24.3307 | + | 24.4876i | 0.800421 | + | 0.805582i | ||||
\(925\) | 21.7172 | − | 29.8911i | 0.714057 | − | 0.982814i | ||||
\(926\) | 28.3701 | + | 30.7897i | 0.932298 | + | 1.01181i | ||||
\(927\) | −23.6753 | + | 17.2011i | −0.777598 | + | 0.564958i | ||||
\(928\) | 30.1507 | + | 24.1642i | 0.989746 | + | 0.793228i | ||||
\(929\) | −8.34103 | − | 20.1370i | −0.273660 | − | 0.660674i | 0.725974 | − | 0.687722i | \(-0.241389\pi\) |
−0.999634 | + | 0.0270481i | \(0.991389\pi\) | |||||||
\(930\) | −1.40936 | + | 3.80142i | −0.0462148 | + | 0.124654i | ||||
\(931\) | 42.4086 | + | 3.33763i | 1.38989 | + | 0.109386i | ||||
\(932\) | 18.9513 | + | 26.2612i | 0.620770 | + | 0.860216i | ||||
\(933\) | 38.4808 | + | 12.5032i | 1.25980 | + | 0.409335i | ||||
\(934\) | −19.2807 | − | 2.31344i | −0.630885 | − | 0.0756982i | ||||
\(935\) | −5.76854 | + | 2.93922i | −0.188651 | + | 0.0961227i | ||||
\(936\) | −19.4579 | + | 15.1879i | −0.636001 | + | 0.496431i | ||||
\(937\) | 0.904276 | − | 3.76658i | 0.0295414 | − | 0.123049i | −0.955651 | − | 0.294502i | \(-0.904846\pi\) |
0.985192 | + | 0.171453i | \(0.0548462\pi\) | |||||||
\(938\) | −48.0890 | + | 9.48521i | −1.57016 | + | 0.309703i | ||||
\(939\) | −45.8136 | + | 14.8857i | −1.49507 | + | 0.485778i | ||||
\(940\) | −7.42779 | + | 10.1547i | −0.242268 | + | 0.331210i | ||||
\(941\) | 1.29766 | + | 8.19308i | 0.0423024 | + | 0.267087i | 0.999770 | − | 0.0214546i | \(-0.00682972\pi\) |
−0.957467 | + | 0.288541i | \(0.906830\pi\) | |||||||
\(942\) | −27.6409 | + | 21.7184i | −0.900588 | + | 0.707623i | ||||
\(943\) | −11.3109 | + | 0.437528i | −0.368333 | + | 0.0142479i | ||||
\(944\) | −22.8018 | + | 44.0490i | −0.742136 | + | 1.43367i | ||||
\(945\) | −3.46706 | + | 0.549128i | −0.112783 | + | 0.0178631i | ||||
\(946\) | −20.0217 | + | 5.61199i | −0.650962 | + | 0.182462i | ||||
\(947\) | 8.67838 | + | 26.7093i | 0.282010 | + | 0.867936i | 0.987279 | + | 0.158997i | \(0.0508260\pi\) |
−0.705269 | + | 0.708939i | \(0.749174\pi\) | |||||||
\(948\) | 4.77745 | + | 4.10695i | 0.155164 | + | 0.133387i | ||||
\(949\) | 39.2697 | + | 9.42783i | 1.27475 | + | 0.306040i | ||||
\(950\) | −28.3094 | − | 22.3912i | −0.918480 | − | 0.726467i | ||||
\(951\) | 21.9031 | + | 42.9873i | 0.710258 | + | 1.39396i | ||||
\(952\) | −38.3608 | − | 14.3625i | −1.24328 | − | 0.465491i | ||||
\(953\) | 13.3855 | − | 41.1964i | 0.433600 | − | 1.33448i | −0.460915 | − | 0.887444i | \(-0.652479\pi\) |
0.894515 | − | 0.447039i | \(-0.147521\pi\) | |||||||
\(954\) | 13.8380 | + | 0.565967i | 0.448023 | + | 0.0183239i | ||||
\(955\) | 0.586833 | − | 7.45642i | 0.0189895 | − | 0.241284i | ||||
\(956\) | −5.67573 | − | 17.6610i | −0.183566 | − | 0.571197i | ||||
\(957\) | 29.0042 | − | 12.0139i | 0.937573 | − | 0.388355i | ||||
\(958\) | 46.2821 | + | 9.28341i | 1.49531 | + | 0.299933i | ||||
\(959\) | 20.7027 | + | 28.4948i | 0.668524 | + | 0.920145i | ||||
\(960\) | −9.63749 | + | 12.9995i | −0.311049 | + | 0.419556i | ||||
\(961\) | 23.4545 | + | 17.0407i | 0.756598 | + | 0.549701i | ||||
\(962\) | −4.88882 | − | 41.8818i | −0.157622 | − | 1.35032i | ||||
\(963\) | −26.1589 | − | 4.14316i | −0.842957 | − | 0.133511i | ||||
\(964\) | 11.4327 | − | 27.3521i | 0.368223 | − | 0.880951i | ||||
\(965\) | 1.31521 | + | 0.805960i | 0.0423380 | + | 0.0259448i | ||||
\(966\) | 22.0777 | − | 0.831910i | 0.710337 | − | 0.0267663i | ||||
\(967\) | −4.34187 | − | 55.1686i | −0.139625 | − | 1.77410i | −0.524766 | − | 0.851246i | \(-0.675847\pi\) |
0.385141 | − | 0.922858i | \(-0.374153\pi\) | |||||||
\(968\) | 10.0158 | − | 17.6841i | 0.321921 | − | 0.568388i | ||||
\(969\) | 35.3018 | + | 41.3330i | 1.13406 | + | 1.32781i | ||||
\(970\) | −11.6291 | − | 6.53719i | −0.373389 | − | 0.209896i | ||||
\(971\) | −29.5129 | − | 48.1607i | −0.947114 | − | 1.54555i | −0.833854 | − | 0.551985i | \(-0.813871\pi\) |
−0.113260 | − | 0.993565i | \(-0.536129\pi\) | |||||||
\(972\) | −12.9054 | + | 39.2886i | −0.413939 | + | 1.26018i | ||||
\(973\) | −13.2522 | + | 15.5163i | −0.424846 | + | 0.497431i | ||||
\(974\) | −9.74398 | − | 26.5435i | −0.312217 | − | 0.850507i | ||||
\(975\) | 24.3823 | + | 24.3823i | 0.780859 | + | 0.780859i | ||||
\(976\) | 0.208644 | − | 32.4649i | 0.00667854 | − | 1.03918i | ||||
\(977\) | 0.971233 | + | 4.04547i | 0.0310725 | + | 0.129426i | 0.985750 | − | 0.168215i | \(-0.0538002\pi\) |
−0.954678 | + | 0.297641i | \(0.903800\pi\) | |||||||
\(978\) | 10.9528 | + | 23.8593i | 0.350233 | + | 0.762935i | ||||
\(979\) | 6.10726 | − | 11.9862i | 0.195189 | − | 0.383080i | ||||
\(980\) | −12.1752 | + | 0.918851i | −0.388921 | + | 0.0293516i | ||||
\(981\) | 11.1467 | − | 26.9105i | 0.355886 | − | 0.859185i | ||||
\(982\) | −5.35174 | + | 5.77085i | −0.170781 | + | 0.184155i | ||||
\(983\) | −14.9742 | −0.477601 | −0.238801 | − | 0.971069i | \(-0.576754\pi\) | ||||
−0.238801 | + | 0.971069i | \(0.576754\pi\) | |||||||
\(984\) | 16.5233 | − | 39.2863i | 0.526742 | − | 1.25240i | ||||
\(985\) | −10.2343 | −0.326092 | ||||||||
\(986\) | −25.3306 | + | 27.3144i | −0.806692 | + | 0.869866i | ||||
\(987\) | −24.7500 | + | 59.7518i | −0.787801 | + | 1.90192i | ||||
\(988\) | −41.0755 | + | 3.09994i | −1.30679 | + | 0.0986223i | ||||
\(989\) | −6.04175 | + | 11.8576i | −0.192117 | + | 0.377050i | ||||
\(990\) | 2.51381 | + | 5.47601i | 0.0798943 | + | 0.174039i | ||||
\(991\) | −2.71449 | − | 11.3067i | −0.0862287 | − | 0.359168i | 0.912528 | − | 0.409014i | \(-0.134127\pi\) |
−0.998757 | + | 0.0498454i | \(0.984127\pi\) | |||||||
\(992\) | −4.91265 | − | 6.33570i | −0.155977 | − | 0.201159i | ||||
\(993\) | −21.1664 | − | 21.1664i | −0.671694 | − | 0.671694i | ||||
\(994\) | 5.39901 | + | 14.7074i | 0.171246 | + | 0.466489i | ||||
\(995\) | 11.1848 | − | 13.0958i | 0.354583 | − | 0.415163i | ||||
\(996\) | −19.2281 | + | 58.5373i | −0.609265 | + | 1.85482i | ||||
\(997\) | −15.2124 | − | 24.8243i | −0.481781 | − | 0.786195i | 0.515727 | − | 0.856753i | \(-0.327522\pi\) |
−0.997508 | + | 0.0705583i | \(0.977522\pi\) | |||||||
\(998\) | 28.0434 | + | 15.7643i | 0.887698 | + | 0.499010i | ||||
\(999\) | −6.12378 | − | 7.17003i | −0.193748 | − | 0.226850i |
(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 | 164.2.o.b.11.14 | ✓ | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.11.16 | yes | 288 | |
41.15 | odd | 40 | inner | 164.2.o.b.15.16 | yes | 288 | |
164.15 | even | 40 | inner | 164.2.o.b.15.14 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.11.14 | ✓ | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.11.16 | yes | 288 | 4.3 | odd | 2 | inner | |
164.2.o.b.15.14 | yes | 288 | 164.15 | even | 40 | inner | |
164.2.o.b.15.16 | yes | 288 | 41.15 | odd | 40 | inner |