Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,2,Mod(4,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 169 = 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 169.k (of order \(78\), degree \(24\), 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: | \(1.34947179416\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 4.11 | ||
Character | \(\chi\) | \(=\) | 169.4 |
Dual form | 169.2.k.a.127.11 |
$q$-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 \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{78}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.10078 | + | 0.0443599i | 0.778369 | + | 0.0313672i | 0.426271 | − | 0.904596i | \(-0.359827\pi\) |
0.352099 | + | 0.935963i | \(0.385468\pi\) | |||||||
\(3\) | −0.581947 | + | 2.00912i | −0.335988 | + | 1.15996i | 0.597654 | + | 0.801754i | \(0.296100\pi\) |
−0.933641 | + | 0.358209i | \(0.883387\pi\) | |||||||
\(4\) | −0.783766 | − | 0.0632721i | −0.391883 | − | 0.0316360i | ||||
\(5\) | 1.05138 | + | 0.398737i | 0.470193 | + | 0.178321i | 0.578309 | − | 0.815817i | \(-0.303713\pi\) |
−0.108116 | + | 0.994138i | \(0.534482\pi\) | |||||||
\(6\) | −0.729720 | + | 2.18578i | −0.297907 | + | 0.892341i | ||||
\(7\) | 1.23850 | + | 2.90687i | 0.468109 | + | 1.09869i | 0.972012 | + | 0.234932i | \(0.0754868\pi\) |
−0.503902 | + | 0.863761i | \(0.668103\pi\) | |||||||
\(8\) | −3.04723 | − | 0.370001i | −1.07736 | − | 0.130815i | ||||
\(9\) | −1.16231 | − | 0.735002i | −0.387438 | − | 0.245001i | ||||
\(10\) | 1.13965 | + | 0.485561i | 0.360390 | + | 0.153548i | ||||
\(11\) | −2.18262 | − | 3.45154i | −0.658084 | − | 1.04068i | −0.995071 | − | 0.0991676i | \(-0.968382\pi\) |
0.336986 | − | 0.941509i | \(-0.390592\pi\) | |||||||
\(12\) | 0.583231 | − | 1.53785i | 0.168364 | − | 0.443940i | ||||
\(13\) | 1.57196 | + | 3.24483i | 0.435982 | + | 0.899955i | ||||
\(14\) | 1.23437 | + | 3.25476i | 0.329899 | + | 0.869872i | ||||
\(15\) | −1.41296 | + | 1.88031i | −0.364825 | + | 0.485493i | ||||
\(16\) | −1.78565 | − | 0.290196i | −0.446413 | − | 0.0725491i | ||||
\(17\) | 5.19062 | − | 2.21152i | 1.25891 | − | 0.536372i | 0.343599 | − | 0.939117i | \(-0.388354\pi\) |
0.915312 | + | 0.402745i | \(0.131944\pi\) | |||||||
\(18\) | −1.24685 | − | 0.860636i | −0.293884 | − | 0.202854i | ||||
\(19\) | 6.10663 | − | 3.52566i | 1.40096 | − | 0.808843i | 0.406466 | − | 0.913666i | \(-0.366761\pi\) |
0.994491 | + | 0.104824i | \(0.0334278\pi\) | |||||||
\(20\) | −0.798810 | − | 0.379040i | −0.178619 | − | 0.0847559i | ||||
\(21\) | −6.56098 | + | 0.796647i | −1.43172 | + | 0.173843i | ||||
\(22\) | −2.24947 | − | 3.89620i | −0.479589 | − | 0.830673i | ||||
\(23\) | −2.04500 | + | 3.54205i | −0.426412 | + | 0.738568i | −0.996551 | − | 0.0829805i | \(-0.973556\pi\) |
0.570139 | + | 0.821548i | \(0.306889\pi\) | |||||||
\(24\) | 2.51670 | − | 5.90691i | 0.513719 | − | 1.20574i | ||||
\(25\) | −2.79614 | − | 2.47716i | −0.559227 | − | 0.495432i | ||||
\(26\) | 1.58644 | + | 3.64158i | 0.311126 | + | 0.714173i | ||||
\(27\) | −2.54387 | + | 2.25367i | −0.489568 | + | 0.433719i | ||||
\(28\) | −0.786771 | − | 2.35667i | −0.148686 | − | 0.445368i | ||||
\(29\) | 0.373616 | − | 9.27118i | 0.0693787 | − | 1.72162i | −0.472646 | − | 0.881252i | \(-0.656701\pi\) |
0.542025 | − | 0.840363i | \(-0.317658\pi\) | |||||||
\(30\) | −1.63877 | + | 2.00713i | −0.299197 | + | 0.366450i | ||||
\(31\) | −2.81240 | − | 3.17454i | −0.505122 | − | 0.570165i | 0.439535 | − | 0.898226i | \(-0.355143\pi\) |
−0.944657 | + | 0.328061i | \(0.893605\pi\) | |||||||
\(32\) | 4.06241 | + | 0.829348i | 0.718140 | + | 0.146609i | ||||
\(33\) | 8.20470 | − | 2.37652i | 1.42826 | − | 0.413699i | ||||
\(34\) | 5.81184 | − | 2.20414i | 0.996722 | − | 0.378007i | ||||
\(35\) | 0.143063 | + | 3.55007i | 0.0241821 | + | 0.600072i | ||||
\(36\) | 0.864476 | + | 0.649611i | 0.144079 | + | 0.108269i | ||||
\(37\) | 3.22361 | − | 0.658105i | 0.529958 | − | 0.108192i | 0.0724072 | − | 0.997375i | \(-0.476932\pi\) |
0.457551 | + | 0.889183i | \(0.348727\pi\) | |||||||
\(38\) | 6.87845 | − | 3.61009i | 1.11583 | − | 0.585634i | ||||
\(39\) | −7.43404 | + | 1.26992i | −1.19040 | + | 0.203350i | ||||
\(40\) | −3.05627 | − | 1.60406i | −0.483239 | − | 0.253624i | ||||
\(41\) | 6.24401 | + | 1.80860i | 0.975150 | + | 0.282456i | 0.727282 | − | 0.686338i | \(-0.240783\pi\) |
0.247868 | + | 0.968794i | \(0.420270\pi\) | |||||||
\(42\) | −7.25753 | + | 0.585889i | −1.11986 | + | 0.0904046i | ||||
\(43\) | −0.411297 | + | 2.01466i | −0.0627222 | + | 0.307233i | −0.999034 | − | 0.0439352i | \(-0.986010\pi\) |
0.936312 | + | 0.351169i | \(0.114216\pi\) | |||||||
\(44\) | 1.49228 | + | 2.84329i | 0.224969 | + | 0.428643i | ||||
\(45\) | −0.928964 | − | 1.23623i | −0.138482 | − | 0.184286i | ||||
\(46\) | −2.40822 | + | 3.80830i | −0.355073 | + | 0.561503i | ||||
\(47\) | −8.30806 | + | 5.73464i | −1.21185 | + | 0.836483i | −0.990338 | − | 0.138674i | \(-0.955716\pi\) |
−0.221516 | + | 0.975157i | \(0.571101\pi\) | |||||||
\(48\) | 1.62219 | − | 3.41870i | 0.234143 | − | 0.493447i | ||||
\(49\) | −2.06693 | + | 2.15190i | −0.295275 | + | 0.307414i | ||||
\(50\) | −2.96805 | − | 2.85085i | −0.419745 | − | 0.403171i | ||||
\(51\) | 1.42253 | + | 11.7155i | 0.199193 | + | 1.64050i | ||||
\(52\) | −1.02674 | − | 2.64265i | −0.142383 | − | 0.366470i | ||||
\(53\) | 0.290857 | − | 2.39543i | 0.0399523 | − | 0.329037i | −0.959005 | − | 0.283388i | \(-0.908541\pi\) |
0.998958 | − | 0.0456486i | \(-0.0145355\pi\) | |||||||
\(54\) | −2.90021 | + | 2.36795i | −0.394669 | + | 0.322237i | ||||
\(55\) | −0.918514 | − | 4.49918i | −0.123852 | − | 0.606669i | ||||
\(56\) | −2.69845 | − | 9.31614i | −0.360596 | − | 1.24492i | ||||
\(57\) | 3.52973 | + | 14.3207i | 0.467524 | + | 1.89682i | ||||
\(58\) | 0.822538 | − | 10.1890i | 0.108005 | − | 1.33788i | ||||
\(59\) | −1.13988 | − | 7.01397i | −0.148400 | − | 0.913141i | −0.949307 | − | 0.314352i | \(-0.898213\pi\) |
0.800907 | − | 0.598789i | \(-0.204351\pi\) | |||||||
\(60\) | 1.22640 | − | 1.38432i | 0.158328 | − | 0.178715i | ||||
\(61\) | −7.11055 | + | 5.34323i | −0.910412 | + | 0.684130i | −0.949051 | − | 0.315123i | \(-0.897954\pi\) |
0.0386388 | + | 0.999253i | \(0.487698\pi\) | |||||||
\(62\) | −2.95501 | − | 3.61923i | −0.375287 | − | 0.459643i | ||||
\(63\) | 0.697029 | − | 4.28899i | 0.0878174 | − | 0.540362i | ||||
\(64\) | 7.94805 | + | 1.95902i | 0.993507 | + | 0.244877i | ||||
\(65\) | 0.358894 | + | 4.03837i | 0.0445153 | + | 0.500898i | ||||
\(66\) | 9.13700 | − | 2.25207i | 1.12469 | − | 0.277210i | ||||
\(67\) | 1.03676 | + | 12.8426i | 0.126661 | + | 1.56897i | 0.678233 | + | 0.734847i | \(0.262746\pi\) |
−0.551572 | + | 0.834127i | \(0.685972\pi\) | |||||||
\(68\) | −4.20816 | + | 1.40489i | −0.510314 | + | 0.170368i | ||||
\(69\) | −5.92630 | − | 6.16993i | −0.713443 | − | 0.742772i | ||||
\(70\) | 3.91419i | 0.467836i | ||||||||
\(71\) | −1.98407 | + | 1.90572i | −0.235465 | + | 0.226168i | −0.801165 | − | 0.598444i | \(-0.795786\pi\) |
0.565699 | + | 0.824612i | \(0.308606\pi\) | |||||||
\(72\) | 3.26988 | + | 2.66978i | 0.385359 | + | 0.314636i | ||||
\(73\) | −2.71437 | + | 5.17180i | −0.317693 | + | 0.605314i | −0.990971 | − | 0.134076i | \(-0.957193\pi\) |
0.673278 | + | 0.739389i | \(0.264886\pi\) | |||||||
\(74\) | 3.57768 | − | 0.581429i | 0.415897 | − | 0.0675898i | ||||
\(75\) | 6.60411 | − | 4.17619i | 0.762577 | − | 0.482224i | ||||
\(76\) | −5.00924 | + | 2.37691i | −0.574599 | + | 0.272651i | ||||
\(77\) | 7.32998 | − | 10.6193i | 0.835329 | − | 1.21018i | ||||
\(78\) | −8.23958 | + | 1.06813i | −0.932949 | + | 0.120942i | ||||
\(79\) | 0.0925711 | + | 0.134112i | 0.0104151 | + | 0.0150888i | 0.828157 | − | 0.560496i | \(-0.189390\pi\) |
−0.817742 | + | 0.575585i | \(0.804774\pi\) | |||||||
\(80\) | −1.76169 | − | 1.01711i | −0.196963 | − | 0.113717i | ||||
\(81\) | −4.81612 | − | 10.1497i | −0.535124 | − | 1.12775i | ||||
\(82\) | 6.79305 | + | 2.26785i | 0.750167 | + | 0.250442i | ||||
\(83\) | 1.34744 | − | 5.46679i | 0.147901 | − | 0.600058i | −0.849473 | − | 0.527632i | \(-0.823080\pi\) |
0.997374 | − | 0.0724257i | \(-0.0230740\pi\) | |||||||
\(84\) | 5.19267 | − | 0.209258i | 0.566567 | − | 0.0228319i | ||||
\(85\) | 6.33915 | − | 0.255459i | 0.687578 | − | 0.0277084i | ||||
\(86\) | −0.542118 | + | 2.19946i | −0.0584580 | + | 0.237174i | ||||
\(87\) | 18.4095 | + | 6.14598i | 1.97370 | + | 0.658918i | ||||
\(88\) | 5.37387 | + | 11.3252i | 0.572856 | + | 1.20727i | ||||
\(89\) | 0.105560 | + | 0.0609451i | 0.0111893 | + | 0.00646017i | 0.505584 | − | 0.862777i | \(-0.331277\pi\) |
−0.494395 | + | 0.869237i | \(0.664610\pi\) | |||||||
\(90\) | −0.967747 | − | 1.40202i | −0.102009 | − | 0.147786i | ||||
\(91\) | −7.48544 | + | 8.58820i | −0.784687 | + | 0.900288i | ||||
\(92\) | 1.82691 | − | 2.64674i | 0.190469 | − | 0.275942i | ||||
\(93\) | 8.01470 | − | 3.80302i | 0.831085 | − | 0.394355i | ||||
\(94\) | −9.39973 | + | 5.94403i | −0.969508 | + | 0.613080i | ||||
\(95\) | 7.82622 | − | 1.27189i | 0.802954 | − | 0.130493i | ||||
\(96\) | −4.03037 | + | 7.67922i | −0.411348 | + | 0.783758i | ||||
\(97\) | −7.83403 | − | 6.39629i | −0.795425 | − | 0.649445i | 0.145005 | − | 0.989431i | \(-0.453680\pi\) |
−0.940430 | + | 0.339986i | \(0.889578\pi\) | |||||||
\(98\) | −2.37069 | + | 2.27708i | −0.239476 | + | 0.230020i | ||||
\(99\) | 5.61599i | 0.564429i | ||||||||
\(100\) | 2.03478 | + | 2.11843i | 0.203478 | + | 0.211843i | ||||
\(101\) | −2.38825 | + | 0.797313i | −0.237639 | + | 0.0793356i | −0.432993 | − | 0.901397i | \(-0.642543\pi\) |
0.195354 | + | 0.980733i | \(0.437414\pi\) | |||||||
\(102\) | 1.04619 | + | 12.9593i | 0.103588 | + | 1.28317i | ||||
\(103\) | −9.61166 | + | 2.36906i | −0.947065 | + | 0.233431i | −0.682457 | − | 0.730925i | \(-0.739089\pi\) |
−0.264608 | + | 0.964356i | \(0.585243\pi\) | |||||||
\(104\) | −3.58952 | − | 10.4694i | −0.351982 | − | 1.02661i | ||||
\(105\) | −7.21576 | − | 1.77852i | −0.704186 | − | 0.173566i | ||||
\(106\) | 0.426431 | − | 2.62393i | 0.0414186 | − | 0.254859i | ||||
\(107\) | −1.44079 | − | 1.76465i | −0.139286 | − | 0.170595i | 0.700251 | − | 0.713897i | \(-0.253071\pi\) |
−0.839537 | + | 0.543302i | \(0.817174\pi\) | |||||||
\(108\) | 2.13639 | − | 1.60539i | 0.205574 | − | 0.154479i | ||||
\(109\) | −0.378270 | + | 0.426978i | −0.0362317 | + | 0.0408971i | −0.766347 | − | 0.642427i | \(-0.777928\pi\) |
0.730116 | + | 0.683324i | \(0.239466\pi\) | |||||||
\(110\) | −0.811499 | − | 4.99335i | −0.0773734 | − | 0.476098i | ||||
\(111\) | −0.553763 | + | 6.85959i | −0.0525609 | + | 0.651083i | ||||
\(112\) | −1.36797 | − | 5.55006i | −0.129261 | − | 0.524431i | ||||
\(113\) | −3.72797 | − | 12.8704i | −0.350698 | − | 1.21075i | −0.921081 | − | 0.389371i | \(-0.872692\pi\) |
0.570383 | − | 0.821379i | \(-0.306795\pi\) | |||||||
\(114\) | 3.25019 | + | 15.9205i | 0.304408 | + | 1.49109i | ||||
\(115\) | −3.56243 | + | 2.90863i | −0.332198 | + | 0.271231i | ||||
\(116\) | −0.879434 | + | 7.24279i | −0.0816534 | + | 0.672476i | ||||
\(117\) | 0.557854 | − | 4.92690i | 0.0515737 | − | 0.455492i | ||||
\(118\) | −0.943619 | − | 7.77140i | −0.0868672 | − | 0.715416i | ||||
\(119\) | 12.8572 | + | 12.3495i | 1.17862 | + | 1.13208i | ||||
\(120\) | 5.00133 | − | 5.20693i | 0.456557 | − | 0.475326i | ||||
\(121\) | −2.43365 | + | 5.12882i | −0.221241 | + | 0.466256i | ||||
\(122\) | −8.06417 | + | 5.56630i | −0.730096 | + | 0.503949i | ||||
\(123\) | −7.26737 | + | 11.4924i | −0.655276 | + | 1.03624i | ||||
\(124\) | 2.00340 | + | 2.66604i | 0.179911 | + | 0.239418i | ||||
\(125\) | −4.56488 | − | 8.69765i | −0.408295 | − | 0.777942i | ||||
\(126\) | 0.957535 | − | 4.69032i | 0.0853040 | − | 0.417847i | ||||
\(127\) | 4.08739 | − | 0.329968i | 0.362697 | − | 0.0292799i | 0.102225 | − | 0.994761i | \(-0.467404\pi\) |
0.260472 | + | 0.965481i | \(0.416122\pi\) | |||||||
\(128\) | 0.697144 | + | 0.201930i | 0.0616194 | + | 0.0178483i | ||||
\(129\) | −3.80834 | − | 1.99877i | −0.335306 | − | 0.175982i | ||||
\(130\) | 0.215921 | + | 4.46127i | 0.0189376 | + | 0.391279i | ||||
\(131\) | 16.6305 | − | 8.72838i | 1.45302 | − | 0.762602i | 0.460844 | − | 0.887481i | \(-0.347547\pi\) |
0.992172 | + | 0.124879i | \(0.0398543\pi\) | |||||||
\(132\) | −6.58093 | + | 1.34351i | −0.572797 | + | 0.116937i | ||||
\(133\) | 17.8117 | + | 13.3846i | 1.54447 | + | 1.16059i | ||||
\(134\) | 0.571550 | + | 14.1829i | 0.0493744 | + | 1.22521i | ||||
\(135\) | −3.57321 | + | 1.35514i | −0.307533 | + | 0.116632i | ||||
\(136\) | −16.6353 | + | 4.81847i | −1.42646 | + | 0.413180i | ||||
\(137\) | −2.36521 | − | 0.482861i | −0.202073 | − | 0.0412536i | 0.0979227 | − | 0.995194i | \(-0.468780\pi\) |
−0.299996 | + | 0.953940i | \(0.596985\pi\) | |||||||
\(138\) | −6.24986 | − | 7.05463i | −0.532023 | − | 0.600530i | ||||
\(139\) | 12.6389 | − | 15.4799i | 1.07202 | − | 1.31299i | 0.124878 | − | 0.992172i | \(-0.460146\pi\) |
0.947142 | − | 0.320814i | \(-0.103956\pi\) | |||||||
\(140\) | 0.112493 | − | 2.79148i | 0.00950736 | − | 0.235923i | ||||
\(141\) | −6.68670 | − | 20.0291i | −0.563121 | − | 1.68675i | ||||
\(142\) | −2.26856 | + | 2.00977i | −0.190373 | + | 0.168656i | ||||
\(143\) | 7.76868 | − | 12.5079i | 0.649650 | − | 1.04596i | ||||
\(144\) | 1.86219 | + | 1.64976i | 0.155182 | + | 0.137480i | ||||
\(145\) | 4.08958 | − | 9.59860i | 0.339621 | − | 0.797120i | ||||
\(146\) | −3.21735 | + | 5.57261i | −0.266269 | + | 0.461192i | ||||
\(147\) | −3.12057 | − | 5.40499i | −0.257380 | − | 0.445796i | ||||
\(148\) | −2.56819 | + | 0.311835i | −0.211104 | + | 0.0256327i | ||||
\(149\) | 6.52264 | + | 3.09503i | 0.534356 | + | 0.253555i | 0.676696 | − | 0.736263i | \(-0.263411\pi\) |
−0.142340 | + | 0.989818i | \(0.545463\pi\) | |||||||
\(150\) | 7.45493 | − | 4.30410i | 0.608692 | − | 0.351429i | ||||
\(151\) | −12.6196 | − | 8.71070i | −1.02697 | − | 0.708866i | −0.0695542 | − | 0.997578i | \(-0.522158\pi\) |
−0.957416 | + | 0.288712i | \(0.906773\pi\) | |||||||
\(152\) | −19.9128 | + | 8.48405i | −1.61514 | + | 0.688147i | ||||
\(153\) | −7.65860 | − | 1.24464i | −0.619161 | − | 0.100623i | ||||
\(154\) | 8.53977 | − | 11.3644i | 0.688154 | − | 0.915767i | ||||
\(155\) | −1.69110 | − | 4.45907i | −0.135833 | − | 0.358161i | ||||
\(156\) | 5.90690 | − | 0.524952i | 0.472930 | − | 0.0420298i | ||||
\(157\) | 1.97306 | − | 5.20253i | 0.157467 | − | 0.415207i | −0.832944 | − | 0.553357i | \(-0.813346\pi\) |
0.990411 | + | 0.138150i | \(0.0441156\pi\) | |||||||
\(158\) | 0.0959512 | + | 0.151735i | 0.00763347 | + | 0.0120714i | ||||
\(159\) | 4.64342 | + | 1.97838i | 0.368247 | + | 0.156896i | ||||
\(160\) | 3.94047 | + | 2.49180i | 0.311521 | + | 0.196994i | ||||
\(161\) | −12.8290 | − | 1.55772i | −1.01107 | − | 0.122766i | ||||
\(162\) | −4.85124 | − | 11.3863i | −0.381150 | − | 0.894591i | ||||
\(163\) | −0.629153 | + | 1.88454i | −0.0492791 | + | 0.147609i | −0.970300 | − | 0.241904i | \(-0.922228\pi\) |
0.921021 | + | 0.389512i | \(0.127356\pi\) | |||||||
\(164\) | −4.77940 | − | 1.81259i | −0.373209 | − | 0.141539i | ||||
\(165\) | 9.57390 | + | 0.772885i | 0.745327 | + | 0.0601690i | ||||
\(166\) | 1.72574 | − | 5.95796i | 0.133944 | − | 0.462427i | ||||
\(167\) | −4.15733 | − | 0.167535i | −0.321704 | − | 0.0129642i | −0.121111 | − | 0.992639i | \(-0.538646\pi\) |
−0.200593 | + | 0.979675i | \(0.564287\pi\) | |||||||
\(168\) | 20.2876 | 1.56522 | ||||||||
\(169\) | −8.05790 | + | 10.2015i | −0.619839 | + | 0.784729i | ||||
\(170\) | 6.98935 | 0.536058 | ||||||||
\(171\) | −9.68918 | − | 0.390461i | −0.740950 | − | 0.0298593i | ||||
\(172\) | 0.449832 | − | 1.55300i | 0.0342994 | − | 0.118415i | ||||
\(173\) | 14.8594 | + | 1.19958i | 1.12974 | + | 0.0912020i | 0.631168 | − | 0.775646i | \(-0.282576\pi\) |
0.498572 | + | 0.866848i | \(0.333858\pi\) | |||||||
\(174\) | 19.9921 | + | 7.58201i | 1.51560 | + | 0.574791i | ||||
\(175\) | 3.73776 | − | 11.1960i | 0.282548 | − | 0.846336i | ||||
\(176\) | 2.89577 | + | 6.79662i | 0.218277 | + | 0.512315i | ||||
\(177\) | 14.7552 | + | 1.79161i | 1.10907 | + | 0.134666i | ||||
\(178\) | 0.113495 | + | 0.0717698i | 0.00850680 | + | 0.00537937i | ||||
\(179\) | −7.79198 | − | 3.31985i | −0.582400 | − | 0.248137i | 0.0806130 | − | 0.996745i | \(-0.474312\pi\) |
−0.663013 | + | 0.748608i | \(0.730722\pi\) | |||||||
\(180\) | 0.649872 | + | 1.02769i | 0.0484386 | + | 0.0765995i | ||||
\(181\) | −0.755880 | + | 1.99309i | −0.0561841 | + | 0.148145i | −0.960170 | − | 0.279418i | \(-0.909859\pi\) |
0.903986 | + | 0.427563i | \(0.140628\pi\) | |||||||
\(182\) | −8.62079 | + | 9.12167i | −0.639016 | + | 0.676143i | ||||
\(183\) | −6.59720 | − | 17.3954i | −0.487679 | − | 1.28590i | ||||
\(184\) | 7.54215 | − | 10.0368i | 0.556015 | − | 0.739921i | ||||
\(185\) | 3.65166 | + | 0.593453i | 0.268476 | + | 0.0436315i | ||||
\(186\) | 8.99112 | − | 3.83076i | 0.659261 | − | 0.280885i | ||||
\(187\) | −18.9623 | − | 13.0887i | −1.38666 | − | 0.957142i | ||||
\(188\) | 6.87441 | − | 3.96894i | 0.501368 | − | 0.289465i | ||||
\(189\) | −9.70171 | − | 4.60352i | −0.705696 | − | 0.334857i | ||||
\(190\) | 8.67137 | − | 1.05290i | 0.629087 | − | 0.0763850i | ||||
\(191\) | 7.56804 | + | 13.1082i | 0.547604 | + | 0.948478i | 0.998438 | + | 0.0558700i | \(0.0177932\pi\) |
−0.450834 | + | 0.892608i | \(0.648873\pi\) | |||||||
\(192\) | −8.56125 | + | 14.8285i | −0.617855 | + | 1.07016i | ||||
\(193\) | −6.43564 | + | 15.1050i | −0.463248 | + | 1.08728i | 0.510546 | + | 0.859850i | \(0.329443\pi\) |
−0.973794 | + | 0.227432i | \(0.926967\pi\) | |||||||
\(194\) | −8.33980 | − | 7.38842i | −0.598763 | − | 0.530458i | ||||
\(195\) | −8.32240 | − | 1.62906i | −0.595979 | − | 0.116659i | ||||
\(196\) | 1.75614 | − | 1.55581i | 0.125439 | − | 0.111129i | ||||
\(197\) | −2.43805 | − | 7.30286i | −0.173704 | − | 0.520307i | 0.825311 | − | 0.564678i | \(-0.191000\pi\) |
−0.999015 | + | 0.0443712i | \(0.985872\pi\) | |||||||
\(198\) | −0.249125 | + | 6.18197i | −0.0177045 | + | 0.439334i | ||||
\(199\) | −3.11261 | + | 3.81225i | −0.220647 | + | 0.270243i | −0.873052 | − | 0.487627i | \(-0.837863\pi\) |
0.652405 | + | 0.757870i | \(0.273760\pi\) | |||||||
\(200\) | 7.60392 | + | 8.58305i | 0.537678 | + | 0.606913i | ||||
\(201\) | −26.4056 | − | 5.39075i | −1.86251 | − | 0.380234i | ||||
\(202\) | −2.66430 | + | 0.771724i | −0.187460 | + | 0.0542983i | ||||
\(203\) | 27.4128 | − | 10.3963i | 1.92400 | − | 0.729678i | ||||
\(204\) | −0.373659 | − | 9.27225i | −0.0261614 | − | 0.649187i | ||||
\(205\) | 5.84369 | + | 4.39125i | 0.408141 | + | 0.306698i | ||||
\(206\) | −10.6854 | + | 2.18144i | −0.744488 | + | 0.151988i | ||||
\(207\) | 4.98034 | − | 2.61389i | 0.346158 | − | 0.181678i | ||||
\(208\) | −1.86533 | − | 6.25032i | −0.129337 | − | 0.433382i | ||||
\(209\) | −25.4974 | − | 13.3821i | −1.76369 | − | 0.925657i | ||||
\(210\) | −7.86407 | − | 2.27786i | −0.542672 | − | 0.157187i | ||||
\(211\) | 5.40996 | − | 0.436737i | 0.372437 | − | 0.0300662i | 0.107169 | − | 0.994241i | \(-0.465822\pi\) |
0.265268 | + | 0.964175i | \(0.414539\pi\) | |||||||
\(212\) | −0.379528 | + | 1.85905i | −0.0260661 | + | 0.127680i | ||||
\(213\) | −2.67419 | − | 5.09525i | −0.183233 | − | 0.349121i | ||||
\(214\) | −1.50771 | − | 2.00640i | −0.103065 | − | 0.137155i | ||||
\(215\) | −1.23575 | + | 1.95419i | −0.0842776 | + | 0.133274i | ||||
\(216\) | 8.58562 | − | 5.92622i | 0.584177 | − | 0.403228i | ||||
\(217\) | 5.74482 | − | 12.1070i | 0.389984 | − | 0.821873i | ||||
\(218\) | −0.435332 | + | 0.453229i | −0.0294844 | + | 0.0306965i | ||||
\(219\) | −8.81113 | − | 8.46320i | −0.595401 | − | 0.571890i | ||||
\(220\) | 0.435227 | + | 3.58442i | 0.0293430 | + | 0.241661i | ||||
\(221\) | 15.3354 | + | 13.3663i | 1.03157 | + | 0.899115i | ||||
\(222\) | −0.913862 | + | 7.52633i | −0.0613344 | + | 0.505134i | ||||
\(223\) | −19.2073 | + | 15.6823i | −1.28621 | + | 1.05016i | −0.290578 | + | 0.956851i | \(0.593848\pi\) |
−0.995637 | + | 0.0933106i | \(0.970255\pi\) | |||||||
\(224\) | 2.62050 | + | 12.8361i | 0.175089 | + | 0.857645i | ||||
\(225\) | 1.42927 | + | 4.93440i | 0.0952845 | + | 0.328960i | ||||
\(226\) | −3.53274 | − | 14.3329i | −0.234995 | − | 0.953411i | ||||
\(227\) | −0.189861 | + | 2.35185i | −0.0126015 | + | 0.156098i | −0.999998 | − | 0.00217070i | \(-0.999309\pi\) |
0.987396 | + | 0.158268i | \(0.0505911\pi\) | |||||||
\(228\) | −1.86038 | − | 11.4474i | −0.123207 | − | 0.758121i | ||||
\(229\) | −17.7848 | + | 20.0749i | −1.17525 | + | 1.32659i | −0.240771 | + | 0.970582i | \(0.577400\pi\) |
−0.934484 | + | 0.356006i | \(0.884138\pi\) | |||||||
\(230\) | −4.05048 | + | 3.04374i | −0.267081 | + | 0.200698i | ||||
\(231\) | 17.0698 | + | 20.9067i | 1.12311 | + | 1.37556i | ||||
\(232\) | −4.56884 | + | 28.1132i | −0.299959 | + | 1.84572i | ||||
\(233\) | −0.154252 | − | 0.0380196i | −0.0101054 | − | 0.00249075i | 0.234260 | − | 0.972174i | \(-0.424733\pi\) |
−0.244365 | + | 0.969683i | \(0.578580\pi\) | |||||||
\(234\) | 0.832632 | − | 5.39869i | 0.0544309 | − | 0.352924i | ||||
\(235\) | −11.0216 | + | 2.71657i | −0.718968 | + | 0.177210i | ||||
\(236\) | 0.449611 | + | 5.56943i | 0.0292672 | + | 0.362539i | ||||
\(237\) | −0.323319 | + | 0.107940i | −0.0210018 | + | 0.00701143i | ||||
\(238\) | 13.6051 | + | 14.1644i | 0.881888 | + | 0.918143i | ||||
\(239\) | − | 0.752656i | − | 0.0486853i | −0.999704 | − | 0.0243426i | \(-0.992251\pi\) | ||
0.999704 | − | 0.0243426i | \(-0.00774927\pi\) | |||||||
\(240\) | 3.06871 | − | 2.94754i | 0.198084 | − | 0.190263i | ||||
\(241\) | 14.3328 | + | 11.7024i | 0.923258 | + | 0.753817i | 0.969494 | − | 0.245113i | \(-0.0788252\pi\) |
−0.0462360 | + | 0.998931i | \(0.514723\pi\) | |||||||
\(242\) | −2.90643 | + | 5.53774i | −0.186832 | + | 0.355980i | ||||
\(243\) | 13.1310 | − | 2.13400i | 0.842357 | − | 0.136896i | ||||
\(244\) | 5.91108 | − | 3.73794i | 0.378418 | − | 0.239297i | ||||
\(245\) | −3.03118 | + | 1.43831i | −0.193655 | + | 0.0918903i | ||||
\(246\) | −8.50958 | + | 12.3282i | −0.542551 | + | 0.786020i | ||||
\(247\) | 21.0395 | + | 14.2728i | 1.33871 | + | 0.908157i | ||||
\(248\) | 7.39545 | + | 10.7142i | 0.469611 | + | 0.680349i | ||||
\(249\) | 10.1993 | + | 5.88855i | 0.646353 | + | 0.373172i | ||||
\(250\) | −4.63910 | − | 9.77670i | −0.293403 | − | 0.618333i | ||||
\(251\) | −6.33247 | − | 2.11409i | −0.399702 | − | 0.133440i | 0.109708 | − | 0.993964i | \(-0.465008\pi\) |
−0.509411 | + | 0.860524i | \(0.670137\pi\) | |||||||
\(252\) | −0.817681 | + | 3.31746i | −0.0515090 | + | 0.208980i | ||||
\(253\) | 16.6890 | − | 0.672542i | 1.04923 | − | 0.0422824i | ||||
\(254\) | 4.51395 | − | 0.181906i | 0.283231 | − | 0.0114138i | ||||
\(255\) | −3.17581 | + | 12.8848i | −0.198877 | + | 0.806875i | ||||
\(256\) | −14.7708 | − | 4.93123i | −0.923178 | − | 0.308202i | ||||
\(257\) | −7.87968 | − | 16.6061i | −0.491521 | − | 1.03586i | −0.986012 | − | 0.166676i | \(-0.946697\pi\) |
0.494491 | − | 0.869183i | \(-0.335355\pi\) | |||||||
\(258\) | −4.10348 | − | 2.36915i | −0.255472 | − | 0.147497i | ||||
\(259\) | 5.90547 | + | 8.55554i | 0.366948 | + | 0.531616i | ||||
\(260\) | −0.0257727 | − | 3.18784i | −0.00159835 | − | 0.197701i | ||||
\(261\) | −7.24860 | + | 10.5014i | −0.448677 | + | 0.650021i | ||||
\(262\) | 18.6938 | − | 8.87029i | 1.15490 | − | 0.548009i | ||||
\(263\) | −14.2101 | + | 8.98595i | −0.876235 | + | 0.554098i | −0.895171 | − | 0.445723i | \(-0.852947\pi\) |
0.0189355 | + | 0.999821i | \(0.493972\pi\) | |||||||
\(264\) | −25.8809 | + | 4.20606i | −1.59286 | + | 0.258865i | ||||
\(265\) | 1.26095 | − | 2.40254i | 0.0774594 | − | 0.147587i | ||||
\(266\) | 19.0130 | + | 15.5237i | 1.16576 | + | 0.951816i | ||||
\(267\) | −0.183876 | + | 0.176615i | −0.0112530 | + | 0.0108087i | ||||
\(268\) | − | 10.1312i | − | 0.618861i | ||||||
\(269\) | 12.2248 | + | 12.7274i | 0.745362 | + | 0.776004i | 0.980618 | − | 0.195929i | \(-0.0627723\pi\) |
−0.235256 | + | 0.971933i | \(0.575593\pi\) | |||||||
\(270\) | −3.99343 | + | 1.33320i | −0.243032 | + | 0.0811361i | ||||
\(271\) | 2.35539 | + | 29.1767i | 0.143080 | + | 1.77236i | 0.527842 | + | 0.849343i | \(0.323001\pi\) |
−0.384762 | + | 0.923016i | \(0.625716\pi\) | |||||||
\(272\) | −9.91041 | + | 2.44270i | −0.600907 | + | 0.148110i | ||||
\(273\) | −12.8986 | − | 20.0370i | −0.780656 | − | 1.21269i | ||||
\(274\) | −2.58215 | − | 0.636444i | −0.155994 | − | 0.0384490i | ||||
\(275\) | −2.44711 | + | 15.0577i | −0.147566 | + | 0.908011i | ||||
\(276\) | 4.25444 | + | 5.21075i | 0.256087 | + | 0.313650i | ||||
\(277\) | 22.6162 | − | 16.9950i | 1.35888 | − | 1.02113i | 0.362870 | − | 0.931840i | \(-0.381797\pi\) |
0.996006 | − | 0.0892893i | \(-0.0284596\pi\) | |||||||
\(278\) | 14.5994 | − | 16.4793i | 0.875612 | − | 0.988362i | ||||
\(279\) | 0.935593 | + | 5.75693i | 0.0560125 | + | 0.344659i | ||||
\(280\) | 0.877583 | − | 10.8708i | 0.0524456 | − | 0.649655i | ||||
\(281\) | 5.14904 | + | 20.8905i | 0.307166 | + | 1.24622i | 0.898204 | + | 0.439578i | \(0.144872\pi\) |
−0.591038 | + | 0.806644i | \(0.701282\pi\) | |||||||
\(282\) | −6.47209 | − | 22.3443i | −0.385408 | − | 1.33058i | ||||
\(283\) | −4.35232 | − | 21.3191i | −0.258719 | − | 1.26729i | −0.876678 | − | 0.481078i | \(-0.840246\pi\) |
0.617959 | − | 0.786210i | \(-0.287960\pi\) | |||||||
\(284\) | 1.67562 | − | 1.36810i | 0.0994299 | − | 0.0811820i | ||||
\(285\) | −1.99909 | + | 16.4640i | −0.118416 | + | 0.975241i | ||||
\(286\) | 9.10646 | − | 13.4238i | 0.538476 | − | 0.793768i | ||||
\(287\) | 2.47585 | + | 20.3905i | 0.146145 | + | 1.20361i | ||||
\(288\) | −4.11222 | − | 3.94985i | −0.242315 | − | 0.232747i | ||||
\(289\) | 10.2754 | − | 10.6979i | 0.604438 | − | 0.629286i | ||||
\(290\) | 4.92752 | − | 10.3845i | 0.289354 | − | 0.609801i | ||||
\(291\) | 17.4099 | − | 12.0172i | 1.02058 | − | 0.704459i | ||||
\(292\) | 2.45466 | − | 3.88174i | 0.143648 | − | 0.227161i | ||||
\(293\) | 0.216822 | + | 0.288538i | 0.0126669 | + | 0.0168565i | 0.805732 | − | 0.592281i | \(-0.201772\pi\) |
−0.793065 | + | 0.609137i | \(0.791516\pi\) | |||||||
\(294\) | −3.19530 | − | 6.08813i | −0.186354 | − | 0.355067i | ||||
\(295\) | 1.59828 | − | 7.82889i | 0.0930554 | − | 0.455815i | ||||
\(296\) | −10.0666 | + | 0.812658i | −0.585108 | + | 0.0472348i | ||||
\(297\) | 13.3309 | + | 3.86135i | 0.773539 | + | 0.224058i | ||||
\(298\) | 7.04270 | + | 3.69629i | 0.407973 | + | 0.214121i | ||||
\(299\) | −14.7080 | − | 1.06775i | −0.850586 | − | 0.0617494i | ||||
\(300\) | −5.44031 | + | 2.85529i | −0.314096 | + | 0.164850i | ||||
\(301\) | −6.36575 | + | 1.29958i | −0.366916 | + | 0.0749064i | ||||
\(302\) | −13.5050 | − | 10.1484i | −0.777127 | − | 0.583973i | ||||
\(303\) | −0.212062 | − | 5.26226i | −0.0121826 | − | 0.302309i | ||||
\(304\) | −11.9274 | + | 4.52348i | −0.684085 | + | 0.259439i | ||||
\(305\) | −9.60646 | + | 2.78254i | −0.550064 | + | 0.159328i | ||||
\(306\) | −8.37522 | − | 1.70981i | −0.478779 | − | 0.0977435i | ||||
\(307\) | 0.288491 | + | 0.325639i | 0.0164650 | + | 0.0185852i | 0.756686 | − | 0.653779i | \(-0.226817\pi\) |
−0.740221 | + | 0.672364i | \(0.765279\pi\) | |||||||
\(308\) | −6.41689 | + | 7.85927i | −0.365636 | + | 0.447823i | ||||
\(309\) | 0.833763 | − | 20.6896i | 0.0474311 | − | 1.17699i | ||||
\(310\) | −1.66373 | − | 4.98348i | −0.0944935 | − | 0.283042i | ||||
\(311\) | 10.5956 | − | 9.38686i | 0.600820 | − | 0.532280i | −0.306962 | − | 0.951722i | \(-0.599313\pi\) |
0.907782 | + | 0.419441i | \(0.137774\pi\) | |||||||
\(312\) | 23.1231 | − | 1.11914i | 1.30909 | − | 0.0633587i | ||||
\(313\) | 0.0489166 | + | 0.0433363i | 0.00276493 | + | 0.00244951i | 0.664504 | − | 0.747285i | \(-0.268643\pi\) |
−0.661739 | + | 0.749734i | \(0.730181\pi\) | |||||||
\(314\) | 2.40269 | − | 5.63932i | 0.135592 | − | 0.318245i | ||||
\(315\) | 2.44303 | − | 4.23144i | 0.137649 | − | 0.238415i | ||||
\(316\) | −0.0640685 | − | 0.110970i | −0.00360413 | − | 0.00624254i | ||||
\(317\) | −1.24934 | + | 0.151698i | −0.0701700 | + | 0.00852018i | −0.155546 | − | 0.987829i | \(-0.549714\pi\) |
0.0853764 | + | 0.996349i | \(0.472791\pi\) | |||||||
\(318\) | 5.02363 | + | 2.38374i | 0.281711 | + | 0.133674i | ||||
\(319\) | −32.8153 | + | 18.9459i | −1.83730 | + | 1.06077i | ||||
\(320\) | 7.57532 | + | 5.22887i | 0.423473 | + | 0.292303i | ||||
\(321\) | 4.38384 | − | 1.86778i | 0.244682 | − | 0.104249i | ||||
\(322\) | −14.0528 | − | 2.28380i | −0.783132 | − | 0.127271i | ||||
\(323\) | 23.9001 | − | 31.8053i | 1.32984 | − | 1.76969i | ||||
\(324\) | 3.13251 | + | 8.25975i | 0.174028 | + | 0.458875i | ||||
\(325\) | 3.64257 | − | 12.9670i | 0.202053 | − | 0.719279i | ||||
\(326\) | −0.776157 | + | 2.04656i | −0.0429874 | + | 0.113348i | ||||
\(327\) | −0.637715 | − | 1.00847i | −0.0352657 | − | 0.0557683i | ||||
\(328\) | −18.3577 | − | 7.82150i | −1.01364 | − | 0.431870i | ||||
\(329\) | −26.9594 | − | 17.0481i | −1.48632 | − | 0.939890i | ||||
\(330\) | 10.5045 | + | 1.27547i | 0.578252 | + | 0.0702125i | ||||
\(331\) | 9.87205 | + | 23.1706i | 0.542617 | + | 1.27357i | 0.935287 | + | 0.353890i | \(0.115141\pi\) |
−0.392670 | + | 0.919679i | \(0.628449\pi\) | |||||||
\(332\) | −1.40197 | + | 4.19943i | −0.0769433 | + | 0.230473i | ||||
\(333\) | −4.23055 | − | 1.60444i | −0.231833 | − | 0.0879226i | ||||
\(334\) | −4.56888 | − | 0.368838i | −0.249998 | − | 0.0201819i | ||||
\(335\) | −4.03079 | + | 13.9159i | −0.220226 | + | 0.760307i | ||||
\(336\) | 11.9468 | + | 0.481439i | 0.651751 | + | 0.0262647i | ||||
\(337\) | −17.9808 | −0.979477 | −0.489738 | − | 0.871869i | \(-0.662908\pi\) | ||||
−0.489738 | + | 0.871869i | \(0.662908\pi\) | |||||||
\(338\) | −9.32252 | + | 10.8721i | −0.507078 | + | 0.591366i | ||||
\(339\) | 28.0277 | 1.52226 | ||||||||
\(340\) | −4.98457 | − | 0.200871i | −0.270326 | − | 0.0108938i | ||||
\(341\) | −4.81865 | + | 16.6359i | −0.260945 | + | 0.900885i | ||||
\(342\) | −10.6483 | − | 0.859623i | −0.575796 | − | 0.0464831i | ||||
\(343\) | 11.8655 | + | 4.49998i | 0.640676 | + | 0.242976i | ||||
\(344\) | 1.99874 | − | 5.98696i | 0.107765 | − | 0.322795i | ||||
\(345\) | −3.77063 | − | 8.85000i | −0.203004 | − | 0.476468i | ||||
\(346\) | 16.3037 | + | 1.97963i | 0.876494 | + | 0.106426i | ||||
\(347\) | −10.6099 | − | 6.70931i | −0.569571 | − | 0.360175i | 0.218427 | − | 0.975853i | \(-0.429908\pi\) |
−0.787997 | + | 0.615679i | \(0.788882\pi\) | |||||||
\(348\) | −14.0398 | − | 5.98181i | −0.752614 | − | 0.320659i | ||||
\(349\) | −8.09141 | − | 12.7955i | −0.433123 | − | 0.684930i | 0.556138 | − | 0.831090i | \(-0.312283\pi\) |
−0.989261 | + | 0.146161i | \(0.953308\pi\) | |||||||
\(350\) | 4.61111 | − | 12.1585i | 0.246474 | − | 0.649899i | ||||
\(351\) | −11.3116 | − | 4.71176i | −0.603771 | − | 0.251495i | ||||
\(352\) | −6.00418 | − | 15.8317i | −0.320024 | − | 0.843833i | ||||
\(353\) | −21.1152 | + | 28.0993i | −1.12385 | + | 1.49557i | −0.279218 | + | 0.960228i | \(0.590075\pi\) |
−0.844633 | + | 0.535346i | \(0.820181\pi\) | |||||||
\(354\) | 16.1628 | + | 2.62671i | 0.859042 | + | 0.139608i | ||||
\(355\) | −2.84590 | + | 1.21252i | −0.151045 | + | 0.0643541i | ||||
\(356\) | −0.0788782 | − | 0.0544457i | −0.00418054 | − | 0.00288562i | ||||
\(357\) | −32.2938 | + | 18.6448i | −1.70917 | + | 0.986788i | ||||
\(358\) | −8.42998 | − | 4.00008i | −0.445539 | − | 0.211411i | ||||
\(359\) | 12.6427 | − | 1.53510i | 0.667255 | − | 0.0810194i | 0.220102 | − | 0.975477i | \(-0.429361\pi\) |
0.447153 | + | 0.894458i | \(0.352438\pi\) | |||||||
\(360\) | 2.37336 | + | 4.11078i | 0.125087 | + | 0.216657i | ||||
\(361\) | 15.3606 | − | 26.6053i | 0.808452 | − | 1.40028i | ||||
\(362\) | −0.920471 | + | 2.16043i | −0.0483789 | + | 0.113549i | ||||
\(363\) | −8.88813 | − | 7.87419i | −0.466506 | − | 0.413288i | ||||
\(364\) | 6.41022 | − | 6.25752i | 0.335987 | − | 0.327983i | ||||
\(365\) | −4.91604 | + | 4.35523i | −0.257317 | + | 0.227963i | ||||
\(366\) | −6.49041 | − | 19.4411i | −0.339259 | − | 1.01621i | ||||
\(367\) | 1.09184 | − | 27.0938i | 0.0569938 | − | 1.41429i | −0.677426 | − | 0.735590i | \(-0.736905\pi\) |
0.734420 | − | 0.678695i | \(-0.237454\pi\) | |||||||
\(368\) | 4.67955 | − | 5.73141i | 0.243938 | − | 0.298770i | ||||
\(369\) | −5.92816 | − | 6.69151i | −0.308608 | − | 0.348346i | ||||
\(370\) | 3.99335 | + | 0.815249i | 0.207604 | + | 0.0423828i | ||||
\(371\) | 7.32341 | − | 2.12125i | 0.380213 | − | 0.110130i | ||||
\(372\) | −6.52227 | + | 2.47357i | −0.338164 | + | 0.128249i | ||||
\(373\) | 1.52877 | + | 37.9361i | 0.0791569 | + | 1.96426i | 0.223429 | + | 0.974720i | \(0.428275\pi\) |
−0.144272 | + | 0.989538i | \(0.546084\pi\) | |||||||
\(374\) | −20.2927 | − | 15.2490i | −1.04931 | − | 0.788505i | ||||
\(375\) | 20.1311 | − | 4.10979i | 1.03957 | − | 0.212229i | ||||
\(376\) | 27.4384 | − | 14.4008i | 1.41503 | − | 0.742663i | ||||
\(377\) | 30.6708 | − | 13.3616i | 1.57962 | − | 0.688156i | ||||
\(378\) | −10.4752 | − | 5.49783i | −0.538788 | − | 0.282778i | ||||
\(379\) | 12.1981 | + | 3.53322i | 0.626574 | + | 0.181490i | 0.576290 | − | 0.817245i | \(-0.304500\pi\) |
0.0502847 | + | 0.998735i | \(0.483987\pi\) | |||||||
\(380\) | −6.21440 | + | 0.501678i | −0.318792 | + | 0.0257355i | ||||
\(381\) | −1.71570 | + | 8.40406i | −0.0878981 | + | 0.430553i | ||||
\(382\) | 7.74926 | + | 14.7650i | 0.396487 | + | 0.755443i | ||||
\(383\) | −8.16470 | − | 10.8652i | −0.417197 | − | 0.555188i | 0.541102 | − | 0.840957i | \(-0.318007\pi\) |
−0.958298 | + | 0.285769i | \(0.907751\pi\) | |||||||
\(384\) | −0.811403 | + | 1.28313i | −0.0414067 | + | 0.0654795i | ||||
\(385\) | 11.9409 | − | 8.24224i | 0.608567 | − | 0.420063i | ||||
\(386\) | −7.75428 | + | 16.3418i | −0.394683 | + | 0.831776i | ||||
\(387\) | 1.95884 | − | 2.03937i | 0.0995733 | − | 0.103667i | ||||
\(388\) | 5.73534 | + | 5.50886i | 0.291168 | + | 0.279670i | ||||
\(389\) | 0.720535 | + | 5.93414i | 0.0365326 | + | 0.300873i | 0.999510 | + | 0.0312917i | \(0.00996209\pi\) |
−0.962978 | + | 0.269581i | \(0.913115\pi\) | |||||||
\(390\) | −9.08887 | − | 2.16241i | −0.460233 | − | 0.109498i | ||||
\(391\) | −2.78153 | + | 22.9080i | −0.140668 | + | 1.15851i | ||||
\(392\) | 7.09460 | − | 5.79256i | 0.358332 | − | 0.292569i | ||||
\(393\) | 7.85822 | + | 38.4921i | 0.396395 | + | 1.94167i | ||||
\(394\) | −2.35981 | − | 8.14699i | −0.118885 | − | 0.410440i | ||||
\(395\) | 0.0438521 | + | 0.177915i | 0.00220644 | + | 0.00895188i | ||||
\(396\) | 0.355336 | − | 4.40162i | 0.0178563 | − | 0.221190i | ||||
\(397\) | −3.31681 | − | 20.4091i | −0.166466 | − | 1.02431i | −0.927015 | − | 0.375025i | \(-0.877634\pi\) |
0.760549 | − | 0.649281i | \(-0.224930\pi\) | |||||||
\(398\) | −3.59541 | + | 4.05838i | −0.180222 | + | 0.203428i | ||||
\(399\) | −37.2567 | + | 27.9966i | −1.86517 | + | 1.40158i | ||||
\(400\) | 4.27406 | + | 5.23477i | 0.213703 | + | 0.261739i | ||||
\(401\) | −1.36220 | + | 8.38197i | −0.0680252 | + | 0.418576i | 0.930595 | + | 0.366052i | \(0.119291\pi\) |
−0.998620 | + | 0.0525239i | \(0.983273\pi\) | |||||||
\(402\) | −28.8277 | − | 7.10538i | −1.43779 | − | 0.354384i | ||||
\(403\) | 5.87990 | − | 14.1160i | 0.292899 | − | 0.703169i | ||||
\(404\) | 1.92227 | − | 0.473797i | 0.0956366 | − | 0.0235723i | ||||
\(405\) | −1.01650 | − | 12.5916i | −0.0505104 | − | 0.625684i | ||||
\(406\) | 30.6367 | − | 10.2280i | 1.52047 | − | 0.507608i | ||||
\(407\) | −9.30738 | − | 9.69001i | −0.461350 | − | 0.480316i | ||||
\(408\) | − | 36.2263i | − | 1.79347i | ||||||
\(409\) | 10.8980 | − | 10.4677i | 0.538872 | − | 0.517594i | −0.373130 | − | 0.927779i | \(-0.621715\pi\) |
0.912002 | + | 0.410185i | \(0.134536\pi\) | |||||||
\(410\) | 6.23782 | + | 5.09303i | 0.308064 | + | 0.251527i | ||||
\(411\) | 2.34655 | − | 4.47098i | 0.115747 | − | 0.220537i | ||||
\(412\) | 7.68319 | − | 1.24864i | 0.378523 | − | 0.0615160i | ||||
\(413\) | 18.9769 | − | 12.0003i | 0.933794 | − | 0.590496i | ||||
\(414\) | 5.59822 | − | 2.65639i | 0.275137 | − | 0.130554i | ||||
\(415\) | 3.59649 | − | 5.21042i | 0.176545 | − | 0.255769i | ||||
\(416\) | 3.69484 | + | 14.4856i | 0.181155 | + | 0.710213i | ||||
\(417\) | 23.7457 | + | 34.4016i | 1.16283 | + | 1.68465i | ||||
\(418\) | −27.4734 | − | 15.8618i | −1.34377 | − | 0.775825i | ||||
\(419\) | −5.68021 | − | 11.9708i | −0.277496 | − | 0.584811i | 0.716075 | − | 0.698024i | \(-0.245937\pi\) |
−0.993571 | + | 0.113213i | \(0.963886\pi\) | |||||||
\(420\) | 5.54293 | + | 1.85050i | 0.270467 | + | 0.0902953i | ||||
\(421\) | −2.49604 | + | 10.1268i | −0.121650 | + | 0.493551i | 0.878233 | + | 0.478233i | \(0.158722\pi\) |
−0.999883 | + | 0.0153187i | \(0.995124\pi\) | |||||||
\(422\) | 5.97455 | − | 0.240766i | 0.290836 | − | 0.0117203i | ||||
\(423\) | 13.8715 | − | 0.559004i | 0.674457 | − | 0.0271797i | ||||
\(424\) | −1.77262 | + | 7.19179i | −0.0860859 | + | 0.349264i | ||||
\(425\) | −19.9920 | − | 6.67430i | −0.969753 | − | 0.323751i | ||||
\(426\) | −2.71767 | − | 5.72738i | −0.131672 | − | 0.277492i | ||||
\(427\) | −24.3385 | − | 14.0518i | −1.17782 | − | 0.680016i | ||||
\(428\) | 1.01759 | + | 1.47423i | 0.0491870 | + | 0.0712597i | ||||
\(429\) | 20.6089 | + | 22.8871i | 0.995005 | + | 1.10500i | ||||
\(430\) | −1.44698 | + | 2.09631i | −0.0697795 | + | 0.101093i | ||||
\(431\) | 3.44001 | − | 1.63231i | 0.165700 | − | 0.0786254i | −0.344036 | − | 0.938956i | \(-0.611794\pi\) |
0.509736 | + | 0.860331i | \(0.329743\pi\) | |||||||
\(432\) | 5.19647 | − | 3.28605i | 0.250015 | − | 0.158100i | ||||
\(433\) | 9.80514 | − | 1.59349i | 0.471205 | − | 0.0765783i | 0.0798279 | − | 0.996809i | \(-0.474563\pi\) |
0.391377 | + | 0.920230i | \(0.371999\pi\) | |||||||
\(434\) | 6.86085 | − | 13.0723i | 0.329331 | − | 0.627488i | ||||
\(435\) | 16.9048 | + | 13.8023i | 0.810522 | + | 0.661771i | ||||
\(436\) | 0.323490 | − | 0.310717i | 0.0154924 | − | 0.0148806i | ||||
\(437\) | 28.8400i | 1.37960i | ||||||||
\(438\) | −9.32369 | − | 9.70698i | −0.445503 | − | 0.463818i | ||||
\(439\) | 13.9169 | − | 4.64616i | 0.664219 | − | 0.221749i | 0.0354862 | − | 0.999370i | \(-0.488702\pi\) |
0.628733 | + | 0.777621i | \(0.283574\pi\) | |||||||
\(440\) | 1.13422 | + | 14.0499i | 0.0540720 | + | 0.669802i | ||||
\(441\) | 3.98407 | − | 0.981984i | 0.189717 | − | 0.0467611i | ||||
\(442\) | 16.2880 | + | 15.3936i | 0.774742 | + | 0.732201i | ||||
\(443\) | 12.6929 | + | 3.12851i | 0.603056 | + | 0.148640i | 0.529011 | − | 0.848615i | \(-0.322563\pi\) |
0.0740447 | + | 0.997255i | \(0.476409\pi\) | |||||||
\(444\) | 0.868041 | − | 5.34127i | 0.0411954 | − | 0.253485i | ||||
\(445\) | 0.0866830 | + | 0.106167i | 0.00410917 | + | 0.00503282i | ||||
\(446\) | −21.8387 | + | 16.4107i | −1.03409 | + | 0.777069i | ||||
\(447\) | −10.0141 | + | 11.3036i | −0.473651 | + | 0.534642i | ||||
\(448\) | 4.14906 | + | 25.5302i | 0.196025 | + | 1.20619i | ||||
\(449\) | −2.59648 | + | 32.1632i | −0.122536 | + | 1.51788i | 0.584904 | + | 0.811102i | \(0.301132\pi\) |
−0.707440 | + | 0.706773i | \(0.750150\pi\) | |||||||
\(450\) | 1.35442 | + | 5.49509i | 0.0638479 | + | 0.259041i | ||||
\(451\) | −7.38584 | − | 25.4989i | −0.347786 | − | 1.20070i | ||||
\(452\) | 2.10751 | + | 10.3233i | 0.0991292 | + | 0.485567i | ||||
\(453\) | 24.8448 | − | 20.2851i | 1.16731 | − | 0.953078i | ||||
\(454\) | −0.313323 | + | 2.58044i | −0.0147050 | + | 0.121106i | ||||
\(455\) | −11.2945 | + | 6.04477i | −0.529495 | + | 0.283383i | ||||
\(456\) | −5.45723 | − | 44.9444i | −0.255558 | − | 2.10471i | ||||
\(457\) | −19.9100 | − | 19.1239i | −0.931353 | − | 0.894576i | 0.0632853 | − | 0.997995i | \(-0.479842\pi\) |
−0.994638 | + | 0.103419i | \(0.967022\pi\) | |||||||
\(458\) | −20.4677 | + | 21.3091i | −0.956393 | + | 0.995711i | ||||
\(459\) | −8.22024 | + | 17.3238i | −0.383688 | + | 0.808605i | ||||
\(460\) | 2.97614 | − | 2.05428i | 0.138763 | − | 0.0957815i | ||||
\(461\) | 2.38145 | − | 3.76597i | 0.110915 | − | 0.175399i | −0.785170 | − | 0.619280i | \(-0.787425\pi\) |
0.896086 | + | 0.443881i | \(0.146399\pi\) | |||||||
\(462\) | 17.8626 | + | 23.7709i | 0.831045 | + | 1.10592i | ||||
\(463\) | −8.95065 | − | 17.0540i | −0.415972 | − | 0.792568i | 0.583842 | − | 0.811867i | \(-0.301549\pi\) |
−0.999814 | + | 0.0192993i | \(0.993856\pi\) | |||||||
\(464\) | −3.35761 | + | 16.4467i | −0.155873 | + | 0.763517i | ||||
\(465\) | 9.94293 | − | 0.802676i | 0.461092 | − | 0.0372232i | ||||
\(466\) | −0.168111 | − | 0.0486938i | −0.00778758 | − | 0.00225570i | ||||
\(467\) | −3.12465 | − | 1.63994i | −0.144592 | − | 0.0758875i | 0.390876 | − | 0.920443i | \(-0.372172\pi\) |
−0.535467 | + | 0.844556i | \(0.679865\pi\) | |||||||
\(468\) | −0.748963 | + | 3.82624i | −0.0346208 | + | 0.176868i | ||||
\(469\) | −36.0477 | + | 18.9193i | −1.66453 | + | 0.873613i | ||||
\(470\) | −12.2528 | + | 2.50143i | −0.565181 | + | 0.115383i | ||||
\(471\) | 9.30427 | + | 6.99171i | 0.428718 | + | 0.322161i | ||||
\(472\) | 0.878306 | + | 21.7949i | 0.0404273 | + | 1.00319i | ||||
\(473\) | 7.85139 | − | 2.97764i | 0.361007 | − | 0.136912i | ||||
\(474\) | −0.360691 | + | 0.104475i | −0.0165671 | + | 0.00479872i | ||||
\(475\) | −25.8086 | − | 5.26886i | −1.18418 | − | 0.241752i | ||||
\(476\) | −9.29564 | − | 10.4926i | −0.426065 | − | 0.480928i | ||||
\(477\) | −2.09871 | + | 2.57045i | −0.0960933 | + | 0.117693i | ||||
\(478\) | 0.0333878 | − | 0.828509i | 0.00152712 | − | 0.0378951i | ||||
\(479\) | 6.28232 | + | 18.8178i | 0.287046 | + | 0.859809i | 0.989043 | + | 0.147628i | \(0.0471640\pi\) |
−0.701997 | + | 0.712180i | \(0.747708\pi\) | |||||||
\(480\) | −7.29946 | + | 6.46676i | −0.333173 | + | 0.295166i | ||||
\(481\) | 7.20282 | + | 9.42557i | 0.328420 | + | 0.429769i | ||||
\(482\) | 15.2582 | + | 13.5176i | 0.694991 | + | 0.615708i | ||||
\(483\) | 10.5954 | − | 24.8684i | 0.482110 | − | 1.13155i | ||||
\(484\) | 2.23192 | − | 3.86581i | 0.101451 | − | 0.175719i | ||||
\(485\) | −5.68613 | − | 9.84867i | −0.258194 | − | 0.447205i | ||||
\(486\) | 14.5491 | − | 1.76658i | 0.659959 | − | 0.0801335i | ||||
\(487\) | −5.62287 | − | 2.66808i | −0.254797 | − | 0.120902i | 0.297011 | − | 0.954874i | \(-0.404010\pi\) |
−0.551807 | + | 0.833972i | \(0.686062\pi\) | |||||||
\(488\) | 23.6445 | − | 13.6511i | 1.07033 | − | 0.617958i | ||||
\(489\) | −3.42013 | − | 2.36075i | −0.154664 | − | 0.106757i | ||||
\(490\) | −3.40046 | + | 1.44880i | −0.153617 | + | 0.0654502i | ||||
\(491\) | −30.6672 | − | 4.98391i | −1.38399 | − | 0.224921i | −0.577609 | − | 0.816313i | \(-0.696014\pi\) |
−0.806384 | + | 0.591393i | \(0.798578\pi\) | |||||||
\(492\) | 6.42306 | − | 8.54754i | 0.289574 | − | 0.385353i | ||||
\(493\) | −18.5641 | − | 48.9495i | −0.836084 | − | 2.20457i | ||||
\(494\) | 22.5268 | + | 16.6445i | 1.01353 | + | 0.748873i | ||||
\(495\) | −2.23931 | + | 5.90457i | −0.100649 | + | 0.265390i | ||||
\(496\) | 4.10072 | + | 6.48477i | 0.184128 | + | 0.291175i | ||||
\(497\) | −7.99695 | − | 3.40718i | −0.358712 | − | 0.152833i | ||||
\(498\) | 10.9659 | + | 6.93444i | 0.491396 | + | 0.310740i | ||||
\(499\) | −8.43207 | − | 1.02384i | −0.377471 | − | 0.0458333i | −0.0703976 | − | 0.997519i | \(-0.522427\pi\) |
−0.307074 | + | 0.951686i | \(0.599350\pi\) | |||||||
\(500\) | 3.02748 | + | 7.10575i | 0.135393 | + | 0.317779i | ||||
\(501\) | 2.75595 | − | 8.25507i | 0.123127 | − | 0.368809i | ||||
\(502\) | −6.87688 | − | 2.60806i | −0.306930 | − | 0.116403i | ||||
\(503\) | −7.27333 | − | 0.587164i | −0.324302 | − | 0.0261803i | −0.0827562 | − | 0.996570i | \(-0.526372\pi\) |
−0.241546 | + | 0.970389i | \(0.577654\pi\) | |||||||
\(504\) | −3.71094 | + | 12.8116i | −0.165298 | + | 0.570676i | ||||
\(505\) | −2.82888 | − | 0.114000i | −0.125884 | − | 0.00507293i | ||||
\(506\) | 18.4007 | 0.818011 | ||||||||
\(507\) | −15.8067 | − | 22.1260i | −0.701999 | − | 0.982649i | ||||
\(508\) | −3.22443 | −0.143061 | ||||||||
\(509\) | 20.2344 | + | 0.815417i | 0.896872 | + | 0.0361427i | 0.484419 | − | 0.874836i | \(-0.339031\pi\) |
0.412453 | + | 0.910979i | \(0.364672\pi\) | |||||||
\(510\) | −4.06743 | + | 14.0424i | −0.180109 | + | 0.621808i | ||||
\(511\) | −18.3955 | − | 1.48504i | −0.813769 | − | 0.0656942i | ||||
\(512\) | −17.3980 | − | 6.59818i | −0.768889 | − | 0.291601i | ||||
\(513\) | −7.58878 | + | 22.7312i | −0.335053 | + | 1.00361i | ||||
\(514\) | −7.93715 | − | 18.6292i | −0.350093 | − | 0.821698i | ||||
\(515\) | −11.0502 | − | 1.34174i | −0.486929 | − | 0.0591239i | ||||
\(516\) | 2.85838 | + | 1.80753i | 0.125833 | + | 0.0795721i | ||||
\(517\) | 37.9266 | + | 16.1590i | 1.66801 | + | 0.710673i | ||||
\(518\) | 6.12110 | + | 9.67974i | 0.268945 | + | 0.425303i | ||||
\(519\) | −11.0575 | + | 29.1562i | −0.485369 | + | 1.27981i | ||||
\(520\) | 0.400566 | − | 12.4386i | 0.0175660 | − | 0.545469i | ||||
\(521\) | 11.5275 | + | 30.3954i | 0.505027 | + | 1.33165i | 0.908969 | + | 0.416863i | \(0.136870\pi\) |
−0.403942 | + | 0.914784i | \(0.632360\pi\) | |||||||
\(522\) | −8.44495 | + | 11.2382i | −0.369626 | + | 0.491882i | ||||
\(523\) | 17.0715 | + | 2.77438i | 0.746483 | + | 0.121315i | 0.521742 | − | 0.853103i | \(-0.325282\pi\) |
0.224741 | + | 0.974419i | \(0.427847\pi\) | |||||||
\(524\) | −13.5867 | + | 5.78875i | −0.593538 | + | 0.252883i | ||||
\(525\) | 20.3188 | + | 14.0251i | 0.886786 | + | 0.612104i | ||||
\(526\) | −16.0409 | + | 9.26120i | −0.699415 | + | 0.403807i | ||||
\(527\) | −21.6187 | − | 10.2582i | −0.941724 | − | 0.446854i | ||||
\(528\) | −15.3404 | + | 1.86266i | −0.667605 | + | 0.0810619i | ||||
\(529\) | 3.13593 | + | 5.43160i | 0.136345 | + | 0.236156i | ||||
\(530\) | 1.49460 | − | 2.58873i | 0.0649214 | − | 0.112447i | ||||
\(531\) | −3.83038 | + | 8.99024i | −0.166225 | + | 0.390143i | ||||
\(532\) | −13.1133 | − | 11.6174i | −0.568535 | − | 0.503678i | ||||
\(533\) | 3.94671 | + | 23.1038i | 0.170951 | + | 1.00074i | ||||
\(534\) | −0.210242 | + | 0.186258i | −0.00909806 | + | 0.00806017i | ||||
\(535\) | −0.811193 | − | 2.42982i | −0.0350709 | − | 0.105050i | ||||
\(536\) | 1.59252 | − | 39.5180i | 0.0687864 | − | 1.70692i | ||||
\(537\) | 11.2045 | − | 13.7230i | 0.483509 | − | 0.592191i | ||||
\(538\) | 12.8923 | + | 14.5524i | 0.555826 | + | 0.627398i | ||||
\(539\) | 11.9387 | + | 2.43730i | 0.514235 | + | 0.104982i | ||||
\(540\) | 2.88630 | − | 0.836027i | 0.124207 | − | 0.0359769i | ||||
\(541\) | 18.3785 | − | 6.97006i | 0.790156 | − | 0.299666i | 0.0736830 | − | 0.997282i | \(-0.476525\pi\) |
0.716473 | + | 0.697615i | \(0.245755\pi\) | |||||||
\(542\) | 1.29849 | + | 32.2216i | 0.0557748 | + | 1.38404i | ||||
\(543\) | −3.56447 | − | 2.67853i | −0.152966 | − | 0.114947i | ||||
\(544\) | 22.9206 | − | 4.67927i | 0.982712 | − | 0.200622i | ||||
\(545\) | −0.567959 | + | 0.298088i | −0.0243287 | + | 0.0127687i | ||||
\(546\) | −13.3096 | − | 22.6285i | −0.569600 | − | 0.968410i | ||||
\(547\) | 12.4517 | + | 6.53517i | 0.532397 | + | 0.279424i | 0.709423 | − | 0.704783i | \(-0.248955\pi\) |
−0.177026 | + | 0.984206i | \(0.556648\pi\) | |||||||
\(548\) | 1.82322 | + | 0.528101i | 0.0778839 | + | 0.0225594i | ||||
\(549\) | 12.1920 | − | 0.984237i | 0.520340 | − | 0.0420062i | ||||
\(550\) | −3.36169 | + | 16.4666i | −0.143343 | + | 0.702139i | ||||
\(551\) | −30.4055 | − | 57.9329i | −1.29532 | − | 2.46802i | ||||
\(552\) | 15.7759 | + | 20.9939i | 0.671467 | + | 0.893561i | ||||
\(553\) | −0.275198 | + | 0.435190i | −0.0117026 | + | 0.0185062i | ||||
\(554\) | 25.6494 | − | 17.7045i | 1.08974 | − | 0.752191i | ||||
\(555\) | −3.31739 | + | 6.99125i | −0.140815 | + | 0.296762i | ||||
\(556\) | −10.8854 | + | 11.3329i | −0.461644 | + | 0.480622i | ||||
\(557\) | −18.1383 | − | 17.4221i | −0.768545 | − | 0.738197i | 0.201930 | − | 0.979400i | \(-0.435279\pi\) |
−0.970475 | + | 0.241203i | \(0.922458\pi\) | |||||||
\(558\) | 0.774505 | + | 6.37862i | 0.0327874 | + | 0.270029i | ||||
\(559\) | −7.18379 | + | 1.83238i | −0.303842 | + | 0.0775013i | ||||
\(560\) | 0.774758 | − | 6.38070i | 0.0327395 | − | 0.269634i | ||||
\(561\) | 37.3318 | − | 30.4805i | 1.57615 | − | 1.28689i | ||||
\(562\) | 4.74126 | + | 23.2242i | 0.199998 | + | 0.979655i | ||||
\(563\) | 3.73577 | + | 12.8974i | 0.157444 | + | 0.543559i | 0.999988 | + | 0.00493174i | \(0.00156983\pi\) |
−0.842544 | + | 0.538628i | \(0.818943\pi\) | |||||||
\(564\) | 3.97352 | + | 16.1212i | 0.167315 | + | 0.678825i | ||||
\(565\) | 1.21240 | − | 15.0183i | 0.0510060 | − | 0.631823i | ||||
\(566\) | −3.84524 | − | 23.6607i | −0.161627 | − | 0.994533i | ||||
\(567\) | 23.5392 | − | 26.5703i | 0.988554 | − | 1.11585i | ||||
\(568\) | 6.75103 | − | 5.07307i | 0.283267 | − | 0.212861i | ||||
\(569\) | 6.73725 | + | 8.25163i | 0.282440 | + | 0.345926i | 0.896268 | − | 0.443514i | \(-0.146268\pi\) |
−0.613827 | + | 0.789440i | \(0.710371\pi\) | |||||||
\(570\) | −2.93089 | + | 18.0345i | −0.122762 | + | 0.755383i | ||||
\(571\) | −37.7826 | − | 9.31256i | −1.58115 | − | 0.389719i | −0.651644 | − | 0.758525i | \(-0.725920\pi\) |
−0.929506 | + | 0.368806i | \(0.879767\pi\) | |||||||
\(572\) | −6.88022 | + | 9.31172i | −0.287677 | + | 0.389343i | ||||
\(573\) | −30.7401 | + | 7.57676i | −1.28419 | + | 0.316524i | ||||
\(574\) | 1.82085 | + | 22.5552i | 0.0760007 | + | 0.941437i | ||||
\(575\) | 14.4923 | − | 4.83825i | 0.604372 | − | 0.201769i | ||||
\(576\) | −7.79824 | − | 8.11883i | −0.324927 | − | 0.338285i | ||||
\(577\) | 19.9882i | 0.832121i | 0.909337 | + | 0.416061i | \(0.136590\pi\) | ||||
−0.909337 | + | 0.416061i | \(0.863410\pi\) | |||||||
\(578\) | 11.7856 | − | 11.3202i | 0.490215 | − | 0.470857i | ||||
\(579\) | −26.6025 | − | 21.7203i | −1.10556 | − | 0.902664i | ||||
\(580\) | −3.81260 | + | 7.26429i | −0.158309 | + | 0.301633i | ||||
\(581\) | 17.5600 | − | 2.85379i | 0.728513 | − | 0.118395i | ||||
\(582\) | 19.6975 | − | 12.4560i | 0.816489 | − | 0.516316i | ||||
\(583\) | −8.90273 | + | 4.22440i | −0.368713 | + | 0.174957i | ||||
\(584\) | 10.1849 | − | 14.7553i | 0.421453 | − | 0.610580i | ||||
\(585\) | 2.55106 | − | 4.95763i | 0.105473 | − | 0.204973i | ||||
\(586\) | 0.225874 | + | 0.327235i | 0.00933076 | + | 0.0135179i | ||||
\(587\) | −19.5306 | − | 11.2760i | −0.806115 | − | 0.465411i | 0.0394896 | − | 0.999220i | \(-0.487427\pi\) |
−0.845605 | + | 0.533809i | \(0.820760\pi\) | |||||||
\(588\) | 2.10381 | + | 4.43369i | 0.0867597 | + | 0.182842i | ||||
\(589\) | −28.3667 | − | 9.47018i | −1.16883 | − | 0.390212i | ||||
\(590\) | 2.10664 | − | 8.54698i | 0.0867291 | − | 0.351874i | ||||
\(591\) | 16.0911 | − | 0.648449i | 0.661900 | − | 0.0266736i | ||||
\(592\) | −5.94722 | + | 0.239665i | −0.244429 | + | 0.00985016i | ||||
\(593\) | −0.545441 | + | 2.21294i | −0.0223986 | + | 0.0908746i | −0.981077 | − | 0.193616i | \(-0.937978\pi\) |
0.958679 | + | 0.284491i | \(0.0918245\pi\) | |||||||
\(594\) | 14.5031 | + | 4.84186i | 0.595071 | + | 0.198664i | ||||
\(595\) | 8.59363 | + | 18.1107i | 0.352305 | + | 0.742466i | ||||
\(596\) | −4.91639 | − | 2.83848i | −0.201383 | − | 0.116269i | ||||
\(597\) | −5.84788 | − | 8.47212i | −0.239338 | − | 0.346741i | ||||
\(598\) | −16.1429 | − | 1.82780i | −0.660133 | − | 0.0747443i | ||||
\(599\) | 24.0024 | − | 34.7735i | 0.980711 | − | 1.42081i | 0.0748678 | − | 0.997193i | \(-0.476147\pi\) |
0.905844 | − | 0.423612i | \(-0.139238\pi\) | |||||||
\(600\) | −21.6694 | + | 10.2823i | −0.884650 | + | 0.419772i | ||||
\(601\) | −5.95993 | + | 3.76883i | −0.243110 | + | 0.153734i | −0.650465 | − | 0.759537i | \(-0.725426\pi\) |
0.407354 | + | 0.913270i | \(0.366451\pi\) | |||||||
\(602\) | −7.06495 | + | 1.14817i | −0.287946 | + | 0.0467957i | ||||
\(603\) | 8.23430 | − | 15.6892i | 0.335327 | − | 0.638912i | ||||
\(604\) | 9.33968 | + | 7.62561i | 0.380026 | + | 0.310282i | ||||
\(605\) | −4.60376 | + | 4.42197i | −0.187169 | + | 0.179779i | ||||
\(606\) | − | 5.80199i | − | 0.235690i | ||||||
\(607\) | 21.4240 | + | 22.3048i | 0.869574 | + | 0.905323i | 0.996241 | − | 0.0866225i | \(-0.0276074\pi\) |
−0.126667 | + | 0.991945i | \(0.540428\pi\) | |||||||
\(608\) | 27.7317 | − | 9.25819i | 1.12467 | − | 0.375469i | ||||
\(609\) | 4.93457 | + | 61.1256i | 0.199959 | + | 2.47694i | ||||
\(610\) | −10.6980 | + | 2.63683i | −0.433151 | + | 0.106762i | ||||
\(611\) | −31.6679 | − | 17.9437i | −1.28114 | − | 0.725923i | ||||
\(612\) | 5.92379 | + | 1.46008i | 0.239455 | + | 0.0590204i | ||||
\(613\) | 2.09999 | − | 12.9217i | 0.0848177 | − | 0.521904i | −0.909522 | − | 0.415656i | \(-0.863552\pi\) |
0.994340 | − | 0.106248i | \(-0.0338839\pi\) | |||||||
\(614\) | 0.303120 | + | 0.371254i | 0.0122329 | + | 0.0149826i | ||||
\(615\) | −12.2233 | + | 9.18518i | −0.492889 | + | 0.370382i | ||||
\(616\) | −26.2653 | + | 29.6474i | −1.05826 | + | 1.19453i | ||||
\(617\) | 0.115470 | + | 0.710516i | 0.00464865 | + | 0.0286043i | 0.989271 | − | 0.146092i | \(-0.0466696\pi\) |
−0.984622 | + | 0.174697i | \(0.944106\pi\) | |||||||
\(618\) | 1.83558 | − | 22.7377i | 0.0738378 | − | 0.914646i | ||||
\(619\) | −4.02308 | − | 16.3223i | −0.161701 | − | 0.656047i | −0.994704 | − | 0.102779i | \(-0.967227\pi\) |
0.833003 | − | 0.553268i | \(-0.186620\pi\) | |||||||
\(620\) | 1.04329 | + | 3.60187i | 0.0418997 | + | 0.144654i | ||||
\(621\) | −2.78039 | − | 13.6193i | −0.111573 | − | 0.546523i | ||||
\(622\) | 12.0798 | − | 9.86285i | 0.484356 | − | 0.395464i | ||||
\(623\) | −0.0464232 | + | 0.382330i | −0.00185991 | + | 0.0153177i | ||||
\(624\) | 13.6431 | − | 0.110300i | 0.546162 | − | 0.00441555i | ||||
\(625\) | 0.920022 | + | 7.57706i | 0.0368009 | + | 0.303082i | ||||
\(626\) | 0.0519240 | + | 0.0498737i | 0.00207530 | + | 0.00199335i | ||||
\(627\) | 41.7243 | − | 43.4395i | 1.66631 | − | 1.73481i | ||||
\(628\) | −1.87559 | + | 3.95272i | −0.0748442 | + | 0.157731i | ||||
\(629\) | 15.2771 | − | 10.5450i | 0.609139 | − | 0.420458i | ||||
\(630\) | 2.87694 | − | 4.54952i | 0.114620 | − | 0.181257i | ||||
\(631\) | 21.5094 | + | 28.6238i | 0.856276 | + | 1.13950i | 0.988937 | + | 0.148335i | \(0.0473914\pi\) |
−0.132661 | + | 0.991161i | \(0.542352\pi\) | |||||||
\(632\) | −0.232464 | − | 0.442922i | −0.00924691 | − | 0.0176185i | ||||
\(633\) | −2.27086 | + | 11.1234i | −0.0902584 | + | 0.442115i | ||||
\(634\) | −1.38198 | + | 0.111565i | −0.0548854 | + | 0.00443081i | ||||
\(635\) | 4.42899 | + | 1.28287i | 0.175759 | + | 0.0509092i | ||||
\(636\) | −3.51418 | − | 1.84438i | −0.139346 | − | 0.0731346i | ||||
\(637\) | −10.2317 | − | 3.32414i | −0.405394 | − | 0.131707i | ||||
\(638\) | −36.9628 | + | 19.3996i | −1.46337 | + | 0.768037i | ||||
\(639\) | 3.70682 | − | 0.756752i | 0.146639 | − | 0.0299366i | ||||
\(640\) | 0.652449 | + | 0.490284i | 0.0257903 | + | 0.0193802i | ||||
\(641\) | −2.00857 | − | 49.8422i | −0.0793338 | − | 1.96865i | −0.211377 | − | 0.977405i | \(-0.567795\pi\) |
0.132043 | − | 0.991244i | \(-0.457846\pi\) | |||||||
\(642\) | 4.90850 | − | 1.86155i | 0.193723 | − | 0.0734695i | ||||
\(643\) | 22.4306 | − | 6.49710i | 0.884577 | − | 0.256221i | 0.195321 | − | 0.980739i | \(-0.437425\pi\) |
0.689255 | + | 0.724519i | \(0.257938\pi\) | |||||||
\(644\) | 9.95637 | + | 2.03261i | 0.392336 | + | 0.0800959i | ||||
\(645\) | −3.20704 | − | 3.62000i | −0.126277 | − | 0.142538i | ||||
\(646\) | 27.7197 | − | 33.9504i | 1.09062 | − | 1.33576i | ||||
\(647\) | 1.38067 | − | 34.2609i | 0.0542796 | − | 1.34693i | −0.710980 | − | 0.703212i | \(-0.751748\pi\) |
0.765260 | − | 0.643722i | \(-0.222611\pi\) | |||||||
\(648\) | 10.9204 | + | 32.7106i | 0.428994 | + | 1.28499i | ||||
\(649\) | −21.7210 | + | 19.2432i | −0.852625 | + | 0.755360i | ||||
\(650\) | 4.58488 | − | 14.1122i | 0.179834 | − | 0.553527i | ||||
\(651\) | 20.9811 | + | 18.5876i | 0.822313 | + | 0.728506i | ||||
\(652\) | 0.612348 | − | 1.43723i | 0.0239814 | − | 0.0562864i | ||||
\(653\) | −20.9795 | + | 36.3375i | −0.820989 | + | 1.42200i | 0.0839567 | + | 0.996469i | \(0.473244\pi\) |
−0.904946 | + | 0.425526i | \(0.860089\pi\) | |||||||
\(654\) | −0.657249 | − | 1.13839i | −0.0257005 | − | 0.0445145i | ||||
\(655\) | 20.9654 | − | 2.54566i | 0.819186 | − | 0.0994672i | ||||
\(656\) | −10.6248 | − | 5.04151i | −0.414827 | − | 0.196838i | ||||
\(657\) | 6.95623 | − | 4.01618i | 0.271388 | − | 0.156686i | ||||
\(658\) | −28.9201 | − | 19.9621i | −1.12742 | − | 0.778203i | ||||
\(659\) | −23.9410 | + | 10.2003i | −0.932609 | + | 0.397348i | −0.804190 | − | 0.594372i | \(-0.797400\pi\) |
−0.128419 | + | 0.991720i | \(0.540990\pi\) | |||||||
\(660\) | −7.45479 | − | 1.21152i | −0.290177 | − | 0.0471584i | ||||
\(661\) | −18.0684 | + | 24.0446i | −0.702778 | + | 0.935227i | −0.999807 | − | 0.0196410i | \(-0.993748\pi\) |
0.297029 | + | 0.954868i | \(0.404004\pi\) | |||||||
\(662\) | 9.83911 | + | 25.9436i | 0.382408 | + | 1.00833i | ||||
\(663\) | −35.7789 | + | 23.0322i | −1.38954 | + | 0.894496i | ||||
\(664\) | −6.12868 | + | 16.1600i | −0.237839 | + | 0.627130i | ||||
\(665\) | 13.3900 | + | 21.1746i | 0.519241 | + | 0.821115i | ||||
\(666\) | −4.58573 | − | 1.95380i | −0.177694 | − | 0.0757082i | ||||
\(667\) | 32.0749 | + | 20.2829i | 1.24195 | + | 0.785359i | ||||
\(668\) | 3.24777 | + | 0.394351i | 0.125660 | + | 0.0152579i | ||||
\(669\) | −20.3298 | − | 47.7159i | −0.785997 | − | 1.84480i | ||||
\(670\) | −5.05432 | + | 15.1395i | −0.195266 | + | 0.584892i | ||||
\(671\) | 33.9620 | + | 12.8801i | 1.31109 | + | 0.497230i | ||||
\(672\) | −27.3141 | − | 2.20502i | −1.05366 | − | 0.0850606i | ||||
\(673\) | −5.93007 | + | 20.4730i | −0.228587 | + | 0.789175i | 0.761432 | + | 0.648245i | \(0.224497\pi\) |
−0.990020 | + | 0.140930i | \(0.954991\pi\) | |||||||
\(674\) | −19.7929 | − | 0.797627i | −0.762394 | − | 0.0307234i | ||||
\(675\) | 12.6957 | 0.488658 | ||||||||
\(676\) | 6.96098 | − | 7.48573i | 0.267730 | − | 0.287913i | ||||
\(677\) | −20.0506 | −0.770608 | −0.385304 | − | 0.922790i | \(-0.625903\pi\) | ||||
−0.385304 | + | 0.922790i | \(0.625903\pi\) | |||||||
\(678\) | 30.8523 | + | 1.24331i | 1.18488 | + | 0.0477489i | ||||
\(679\) | 8.89071 | − | 30.6943i | 0.341194 | − | 1.17794i | ||||
\(680\) | −19.4114 | − | 1.56705i | −0.744392 | − | 0.0600935i | ||||
\(681\) | −4.61465 | − | 1.75010i | −0.176834 | − | 0.0670641i | ||||
\(682\) | −6.04224 | + | 18.0987i | −0.231370 | + | 0.693036i | ||||
\(683\) | 1.01570 | + | 2.38392i | 0.0388645 | + | 0.0912183i | 0.938280 | − | 0.345875i | \(-0.112418\pi\) |
−0.899416 | + | 0.437094i | \(0.856008\pi\) | |||||||
\(684\) | 7.56934 | + | 0.919084i | 0.289421 | + | 0.0351421i | ||||
\(685\) | −2.29421 | − | 1.45077i | −0.0876571 | − | 0.0554310i | ||||
\(686\) | 12.8617 | + | 5.47984i | 0.491061 | + | 0.209221i | ||||
\(687\) | −29.9830 | − | 47.4143i | −1.14392 | − | 1.80897i | ||||
\(688\) | 1.31908 | − | 3.47813i | 0.0502895 | − | 0.132602i | ||||
\(689\) | 8.22997 | − | 2.82172i | 0.313537 | − | 0.107499i | ||||
\(690\) | −3.75805 | − | 9.90917i | −0.143067 | − | 0.377236i | ||||
\(691\) | 10.1737 | − | 13.5388i | 0.387027 | − | 0.515040i | −0.563317 | − | 0.826241i | \(-0.690475\pi\) |
0.950344 | + | 0.311201i | \(0.100731\pi\) | |||||||
\(692\) | −11.5704 | − | 1.88037i | −0.439840 | − | 0.0714810i | ||||
\(693\) | −16.3250 | + | 6.95541i | −0.620134 | + | 0.264214i | ||||
\(694\) | −11.3816 | − | 7.85613i | −0.432039 | − | 0.298215i | ||||
\(695\) | 19.4608 | − | 11.2357i | 0.738189 | − | 0.426194i | ||||
\(696\) | −53.8238 | − | 25.5397i | −2.04019 | − | 0.968080i | ||||
\(697\) | 36.4100 | − | 4.42098i | 1.37913 | − | 0.167456i | ||||
\(698\) | −8.33926 | − | 14.4440i | −0.315645 | − | 0.546714i | ||||
\(699\) | 0.166152 | − | 0.287784i | 0.00628445 | − | 0.0108850i | ||||
\(700\) | −3.63792 | + | 8.53852i | −0.137501 | + | 0.322726i | ||||
\(701\) | −20.7571 | − | 18.3892i | −0.783984 | − | 0.694550i | 0.172925 | − | 0.984935i | \(-0.444678\pi\) |
−0.956910 | + | 0.290385i | \(0.906217\pi\) | |||||||
\(702\) | −12.2426 | − | 5.68840i | −0.462068 | − | 0.214695i | ||||
\(703\) | 17.3651 | − | 15.3842i | 0.654938 | − | 0.580225i | ||||
\(704\) | −10.5859 | − | 31.7088i | −0.398973 | − | 1.19507i | ||||
\(705\) | 0.956065 | − | 23.7245i | 0.0360075 | − | 0.893517i | ||||
\(706\) | −24.4897 | + | 29.9945i | −0.921683 | + | 1.12886i | ||||
\(707\) | −5.27553 | − | 5.95484i | −0.198407 | − | 0.223955i | ||||
\(708\) | −11.4513 | − | 2.33780i | −0.430365 | − | 0.0878597i | ||||
\(709\) | 4.03142 | − | 1.16771i | 0.151403 | − | 0.0438544i | −0.201651 | − | 0.979458i | \(-0.564631\pi\) |
0.353054 | + | 0.935603i | \(0.385143\pi\) | |||||||
\(710\) | −3.18650 | + | 1.20848i | −0.119587 | + | 0.0453534i | ||||
\(711\) | −0.00902369 | − | 0.223920i | −0.000338415 | − | 0.00839767i | ||||
\(712\) | −0.299116 | − | 0.224771i | −0.0112098 | − | 0.00842365i | ||||
\(713\) | 16.9957 | − | 3.46971i | 0.636496 | − | 0.129942i | ||||
\(714\) | −36.3754 | + | 19.0913i | −1.36132 | + | 0.714473i | ||||
\(715\) | 13.1552 | − | 10.0529i | 0.491978 | − | 0.375959i | ||||
\(716\) | 5.89703 | + | 3.09500i | 0.220382 | + | 0.115666i | ||||
\(717\) | 1.51217 | + | 0.438007i | 0.0564732 | + | 0.0163577i | ||||
\(718\) | 13.9849 | − | 1.12898i | 0.521912 | − | 0.0421331i | ||||
\(719\) | −0.119586 | + | 0.585769i | −0.00445979 | + | 0.0218455i | −0.981960 | − | 0.189091i | \(-0.939446\pi\) |
0.977500 | + | 0.210936i | \(0.0676512\pi\) | |||||||
\(720\) | 1.30006 | + | 2.47705i | 0.0484503 | + | 0.0923143i | ||||
\(721\) | −18.7906 | − | 25.0058i | −0.699799 | − | 0.931263i | ||||
\(722\) | 18.0889 | − | 28.6052i | 0.673197 | − | 1.06458i | ||||
\(723\) | −31.8524 | + | 21.9861i | −1.18460 | + | 0.817673i | ||||
\(724\) | 0.718540 | − | 1.51429i | 0.0267043 | − | 0.0562782i | ||||
\(725\) | −24.0109 | + | 24.9980i | −0.891742 | + | 0.928402i | ||||
\(726\) | −9.43458 | − | 9.06203i | −0.350150 | − | 0.336324i | ||||
\(727\) | 2.80420 | + | 23.0947i | 0.104002 | + | 0.856533i | 0.947578 | + | 0.319524i | \(0.103523\pi\) |
−0.843576 | + | 0.537009i | \(0.819554\pi\) | |||||||
\(728\) | 25.9875 | − | 23.4006i | 0.963160 | − | 0.867284i | ||||
\(729\) | 0.708360 | − | 5.83387i | 0.0262356 | − | 0.216069i | ||||
\(730\) | −5.60467 | + | 4.57607i | −0.207438 | + | 0.169368i | ||||
\(731\) | 2.32058 | + | 11.3670i | 0.0858298 | + | 0.420422i | ||||
\(732\) | 4.07002 | + | 14.0513i | 0.150432 | + | 0.519352i | ||||
\(733\) | 6.85464 | + | 27.8103i | 0.253182 | + | 1.02720i | 0.950571 | + | 0.310506i | \(0.100499\pi\) |
−0.697390 | + | 0.716692i | \(0.745655\pi\) | |||||||
\(734\) | 2.40376 | − | 29.7759i | 0.0887244 | − | 1.09905i | ||||
\(735\) | −1.12575 | − | 6.92701i | −0.0415238 | − | 0.255506i | ||||
\(736\) | −11.2452 | + | 12.6932i | −0.414505 | + | 0.467879i | ||||
\(737\) | 42.0639 | − | 31.6089i | 1.54944 | − | 1.16433i | ||||
\(738\) | −6.22877 | − | 7.62886i | −0.229284 | − | 0.280822i | ||||
\(739\) | 3.54807 | − | 21.8321i | 0.130518 | − | 0.803108i | −0.836419 | − | 0.548091i | \(-0.815355\pi\) |
0.966937 | − | 0.255017i | \(-0.0820811\pi\) | |||||||
\(740\) | −2.82450 | − | 0.696176i | −0.103831 | − | 0.0255919i | ||||
\(741\) | −40.9196 | + | 33.9649i | −1.50322 | + | 1.24773i | ||||
\(742\) | 8.15557 | − | 2.01017i | 0.299400 | − | 0.0737955i | ||||
\(743\) | 0.184228 | + | 2.28207i | 0.00675865 | + | 0.0837209i | 0.999257 | − | 0.0385351i | \(-0.0122691\pi\) |
−0.992499 | + | 0.122256i | \(0.960987\pi\) | |||||||
\(744\) | −25.8297 | + | 8.62323i | −0.946964 | + | 0.316143i | ||||
\(745\) | 5.62370 | + | 5.85489i | 0.206036 | + | 0.214507i | ||||
\(746\) | 41.8272i | 1.53140i | ||||||||
\(747\) | −5.58425 | + | 5.36375i | −0.204317 | + | 0.196249i | ||||
\(748\) | 14.0338 | + | 11.4583i | 0.513128 | + | 0.418956i | ||||
\(749\) | 3.34518 | − | 6.37370i | 0.122230 | − | 0.232890i | ||||
\(750\) | 22.3422 | − | 3.63097i | 0.815823 | − | 0.132584i | ||||
\(751\) | −18.1820 | + | 11.4976i | −0.663471 | + | 0.419553i | −0.823312 | − | 0.567589i | \(-0.807876\pi\) |
0.159841 | + | 0.987143i | \(0.448902\pi\) | |||||||
\(752\) | 16.4995 | − | 7.82909i | 0.601673 | − | 0.285497i | ||||
\(753\) | 7.93262 | − | 11.4924i | 0.289081 | − | 0.418806i | ||||
\(754\) | 34.3545 | − | 13.3476i | 1.25112 | − | 0.486091i | ||||
\(755\) | −9.79479 | − | 14.1902i | −0.356469 | − | 0.516434i | ||||
\(756\) | 7.31259 | + | 4.22193i | 0.265956 | + | 0.153550i | ||||
\(757\) | 18.5939 | + | 39.1858i | 0.675806 | + | 1.42423i | 0.893883 | + | 0.448300i | \(0.147970\pi\) |
−0.218077 | + | 0.975932i | \(0.569978\pi\) | |||||||
\(758\) | 13.2707 | + | 4.43041i | 0.482013 | + | 0.160920i | ||||
\(759\) | −8.36088 | + | 33.9214i | −0.303481 | + | 1.23127i | ||||
\(760\) | −24.3189 | + | 0.980018i | −0.882139 | + | 0.0355490i | ||||
\(761\) | 15.0291 | − | 0.605651i | 0.544804 | − | 0.0219548i | 0.233661 | − | 0.972318i | \(-0.424929\pi\) |
0.311143 | + | 0.950363i | \(0.399288\pi\) | |||||||
\(762\) | −2.26141 | + | 9.17492i | −0.0819224 | + | 0.332372i | ||||
\(763\) | −1.70966 | − | 0.570767i | −0.0618937 | − | 0.0206632i | ||||
\(764\) | −5.10218 | − | 10.7526i | −0.184590 | − | 0.389016i | ||||
\(765\) | −7.55584 | − | 4.36237i | −0.273182 | − | 0.157722i | ||||
\(766\) | −8.50556 | − | 12.3224i | −0.307318 | − | 0.445227i | ||||
\(767\) | 20.9673 | − | 14.7244i | 0.757086 | − | 0.531667i | ||||
\(768\) | 18.5033 | − | 26.8066i | 0.667679 | − | 0.967301i | ||||
\(769\) | 39.3201 | − | 18.6576i | 1.41792 | − | 0.672811i | 0.443237 | − | 0.896405i | \(-0.353830\pi\) |
0.974682 | + | 0.223594i | \(0.0717788\pi\) | |||||||
\(770\) | 13.5100 | − | 8.54319i | 0.486866 | − | 0.307875i | ||||
\(771\) | 37.9491 | − | 6.16733i | 1.36670 | − | 0.222111i | ||||
\(772\) | 5.99976 | − | 11.4316i | 0.215936 | − | 0.411432i | ||||
\(773\) | 15.3838 | + | 12.5605i | 0.553317 | + | 0.451770i | 0.867390 | − | 0.497629i | \(-0.165796\pi\) |
−0.314072 | + | 0.949399i | \(0.601693\pi\) | |||||||
\(774\) | 2.24672 | − | 2.15800i | 0.0807565 | − | 0.0775677i | ||||
\(775\) | 15.8432i | 0.569106i | ||||||||
\(776\) | 21.5055 | + | 22.3895i | 0.772001 | + | 0.803738i | ||||
\(777\) | −20.6257 | + | 6.88589i | −0.739945 | + | 0.247030i | ||||
\(778\) | 0.529912 | + | 6.56414i | 0.0189983 | + | 0.235336i | ||||
\(779\) | 44.5063 | − | 10.9698i | 1.59460 | − | 0.393035i | ||||
\(780\) | 6.41974 | + | 1.80337i | 0.229863 | + | 0.0645712i | ||||
\(781\) | 10.9081 | + | 2.68861i | 0.390324 | + | 0.0962061i | ||||
\(782\) | −4.07805 | + | 25.0933i | −0.145831 | + | 0.897334i | ||||
\(783\) | 19.9438 | + | 24.4267i | 0.712732 | + | 0.872939i | ||||
\(784\) | 4.31528 | − | 3.24272i | 0.154117 | − | 0.115812i | ||||
\(785\) | 4.14889 | − | 4.68313i | 0.148080 | − | 0.167148i | ||||
\(786\) | 6.94267 | + | 42.7200i | 0.247637 | + | 1.52377i | ||||
\(787\) | 3.67051 | − | 45.4674i | 0.130840 | − | 1.62074i | −0.514947 | − | 0.857222i | \(-0.672189\pi\) |
0.645787 | − | 0.763518i | \(-0.276529\pi\) | |||||||
\(788\) | 1.44879 | + | 5.87799i | 0.0516112 | + | 0.209395i | ||||
\(789\) | −9.78426 | − | 33.7792i | −0.348329 | − | 1.20257i | ||||
\(790\) | 0.0403793 | + | 0.197791i | 0.00143663 | + | 0.00703708i | ||||
\(791\) | 32.7956 | − | 26.7768i | 1.16608 | − | 0.952073i | ||||
\(792\) | 2.07792 | − | 17.1132i | 0.0738357 | − | 0.608092i | ||||
\(793\) | −28.5154 | − | 14.6732i | −1.01261 | − | 0.521061i | ||||
\(794\) | −2.74573 | − | 22.6131i | −0.0974423 | − | 0.802510i | ||||
\(795\) | 4.09317 | + | 3.93154i | 0.145170 | + | 0.139437i | ||||
\(796\) | 2.68076 | − | 2.79097i | 0.0950172 | − | 0.0989233i | ||||
\(797\) | −2.36987 | + | 4.99439i | −0.0839449 | + | 0.176910i | −0.941082 | − | 0.338178i | \(-0.890189\pi\) |
0.857137 | + | 0.515088i | \(0.172241\pi\) | |||||||
\(798\) | −42.2534 | + | 29.1654i | −1.49575 | + | 1.03244i | ||||
\(799\) | −30.4417 | + | 48.1397i | −1.07695 | + | 1.70306i | ||||
\(800\) | −9.30464 | − | 12.3822i | −0.328969 | − | 0.437778i | ||||
\(801\) | −0.0778990 | − | 0.148424i | −0.00275243 | − | 0.00524431i | ||||
\(802\) | −1.87131 | + | 9.16628i | −0.0660782 | + | 0.323673i | ||||
\(803\) | 23.7751 | − | 1.91932i | 0.839005 | − | 0.0677315i | ||||
\(804\) | 20.3547 | + | 5.89582i | 0.717856 | + | 0.207930i | ||||
\(805\) | −12.8671 | − | 6.75317i | −0.453505 | − | 0.238018i | ||||
\(806\) | 7.09866 | − | 15.2778i | 0.250040 | − | 0.538138i | ||||
\(807\) | −32.6851 | + | 17.1544i | −1.15057 | + | 0.603865i | ||||
\(808\) | 7.57254 | − | 1.54594i | 0.266401 | − | 0.0543861i | ||||
\(809\) | 2.02242 | + | 1.51975i | 0.0711045 | + | 0.0534315i | 0.635700 | − | 0.771936i | \(-0.280711\pi\) |
−0.564596 | + | 0.825368i | \(0.690968\pi\) | |||||||
\(810\) | −0.560382 | − | 13.9057i | −0.0196898 | − | 0.488597i | ||||
\(811\) | −37.0641 | + | 14.0565i | −1.30150 | + | 0.493592i | −0.905378 | − | 0.424607i | \(-0.860412\pi\) |
−0.396118 | + | 0.918200i | \(0.629643\pi\) | |||||||
\(812\) | −22.1430 | + | 6.41380i | −0.777068 | + | 0.225080i | ||||
\(813\) | −59.9901 | − | 12.2471i | −2.10394 | − | 0.429523i | ||||
\(814\) | −9.81553 | − | 11.0794i | −0.344034 | − | 0.388334i | ||||
\(815\) | −1.41292 | + | 1.73051i | −0.0494924 | + | 0.0606172i | ||||
\(816\) | 0.859678 | − | 21.3327i | 0.0300947 | − | 0.746793i | ||||
\(817\) | 4.59139 | + | 13.7529i | 0.160632 | + | 0.481153i | ||||
\(818\) | 12.4607 | − | 11.0392i | 0.435677 | − | 0.385976i | ||||
\(819\) | 15.0128 | − | 4.48037i | 0.524588 | − | 0.156557i | ||||
\(820\) | −4.30224 | − | 3.81145i | −0.150241 | − | 0.133102i | ||||
\(821\) | −1.16839 | + | 2.74232i | −0.0407772 | + | 0.0957077i | −0.939123 | − | 0.343582i | \(-0.888360\pi\) |
0.898345 | + | 0.439290i | \(0.144770\pi\) | |||||||
\(822\) | 2.78137 | − | 4.81747i | 0.0970113 | − | 0.168029i | ||||
\(823\) | 18.4917 | + | 32.0285i | 0.644579 | + | 1.11644i | 0.984399 | + | 0.175953i | \(0.0563006\pi\) |
−0.339820 | + | 0.940491i | \(0.610366\pi\) | |||||||
\(824\) | 30.1655 | − | 3.66275i | 1.05086 | − | 0.127598i | ||||
\(825\) | −28.8285 | − | 13.6793i | −1.00368 | − | 0.476252i | ||||
\(826\) | 21.4218 | − | 12.3679i | 0.745359 | − | 0.430333i | ||||
\(827\) | 6.11955 | + | 4.22402i | 0.212798 | + | 0.146884i | 0.669696 | − | 0.742635i | \(-0.266424\pi\) |
−0.456899 | + | 0.889519i | \(0.651040\pi\) | |||||||
\(828\) | −4.06881 | + | 1.73356i | −0.141401 | + | 0.0602453i | ||||
\(829\) | 7.71763 | + | 1.25424i | 0.268044 | + | 0.0435615i | 0.292948 | − | 0.956128i | \(-0.405364\pi\) |
−0.0249035 | + | 0.999690i | \(0.507928\pi\) | |||||||
\(830\) | 4.19008 | − | 5.57599i | 0.145440 | − | 0.193545i | ||||
\(831\) | 20.9834 | + | 55.3287i | 0.727907 | + | 1.91933i | ||||
\(832\) | 6.13731 | + | 28.8696i | 0.212773 | + | 1.00087i | ||||
\(833\) | −5.96968 | + | 15.7407i | −0.206837 | + | 0.545384i | ||||
\(834\) | 24.6127 | + | 38.9219i | 0.852269 | + | 1.34776i | ||||
\(835\) | −4.30415 | − | 1.83383i | −0.148951 | − | 0.0634622i | ||||
\(836\) | 19.1373 | + | 12.1017i | 0.661876 | + | 0.418545i | ||||
\(837\) | 14.3088 | + | 1.73740i | 0.494583 | + | 0.0600533i | ||||
\(838\) | −5.72163 | − | 13.4292i | −0.197651 | − | 0.463903i | ||||
\(839\) | −5.86861 | + | 17.5786i | −0.202607 | + | 0.606882i | 0.797387 | + | 0.603468i | \(0.206215\pi\) |
−0.999994 | + | 0.00341396i | \(0.998913\pi\) | |||||||
\(840\) | 21.3300 | + | 8.08941i | 0.735955 | + | 0.279111i | ||||
\(841\) | −56.9093 | − | 4.59419i | −1.96239 | − | 0.158420i | ||||
\(842\) | −3.19682 | + | 11.0367i | −0.110170 | + | 0.380349i | ||||
\(843\) | −44.9679 | − | 1.81214i | −1.54878 | − | 0.0624135i | ||||
\(844\) | −4.26777 | −0.146903 | ||||||||
\(845\) | −12.5397 | + | 7.51269i | −0.431377 | + | 0.258444i | ||||
\(846\) | 15.2943 | 0.525829 | ||||||||
\(847\) | −17.9229 | − | 0.722267i | −0.615837 | − | 0.0248174i | ||||
\(848\) | −1.21451 | + | 4.19299i | −0.0417066 | + | 0.143988i | ||||
\(849\) | 45.3653 | + | 3.66227i | 1.55693 | + | 0.125689i | ||||
\(850\) | −21.7107 | − | 8.23378i | −0.744671 | − | 0.282416i | ||||
\(851\) | −4.26125 | + | 12.7640i | −0.146074 | + | 0.437544i | ||||
\(852\) | 1.77355 | + | 4.16268i | 0.0607610 | + | 0.142611i | ||||
\(853\) | −19.2218 | − | 2.33395i | −0.658141 | − | 0.0799128i | −0.215349 | − | 0.976537i | \(-0.569089\pi\) |
−0.442792 | + | 0.896624i | \(0.646012\pi\) | |||||||
\(854\) | −26.1680 | − | 16.5476i | −0.895450 | − | 0.566248i | ||||
\(855\) | −10.0314 | − | 4.27396i | −0.343065 | − | 0.146166i | ||||
\(856\) | 3.73750 | + | 5.91038i | 0.127745 | + | 0.202013i | ||||
\(857\) | −16.9564 | + | 44.7102i | −0.579218 | + | 1.52727i | 0.249942 | + | 0.968261i | \(0.419589\pi\) |
−0.829160 | + | 0.559012i | \(0.811181\pi\) | |||||||
\(858\) | 21.6706 | + | 26.1079i | 0.739820 | + | 0.891309i | ||||
\(859\) | −19.3890 | − | 51.1245i | −0.661543 | − | 1.74435i | −0.667773 | − | 0.744365i | \(-0.732752\pi\) |
0.00623019 | − | 0.999981i | \(-0.498017\pi\) | |||||||
\(860\) | 1.09219 | − | 1.45344i | 0.0372432 | − | 0.0495617i | ||||
\(861\) | −42.4076 | − | 6.89190i | −1.44525 | − | 0.234875i | ||||
\(862\) | 3.85911 | − | 1.64421i | 0.131442 | − | 0.0560021i | ||||
\(863\) | 2.31855 | + | 1.60038i | 0.0789242 | + | 0.0544774i | 0.606873 | − | 0.794798i | \(-0.292423\pi\) |
−0.527949 | + | 0.849276i | \(0.677039\pi\) | |||||||
\(864\) | −12.2033 | + | 7.04560i | −0.415166 | + | 0.239696i | ||||
\(865\) | 15.1446 | + | 7.18621i | 0.514933 | + | 0.244339i | ||||
\(866\) | 10.8640 | − | 1.31913i | 0.369173 | − | 0.0448258i | ||||
\(867\) | 15.5135 | + | 26.8701i | 0.526866 | + | 0.912558i | ||||
\(868\) | −5.26862 | + | 9.12552i | −0.178829 | + | 0.309740i | ||||
\(869\) | 0.260846 | − | 0.612229i | 0.00884860 | − | 0.0207684i | ||||
\(870\) | 17.9962 | + | 15.9432i | 0.610127 | + | 0.540526i | ||||
\(871\) | −40.0424 | + | 23.5521i | −1.35678 | + | 0.798034i | ||||
\(872\) | 1.31066 | − | 1.16114i | 0.0443844 | − | 0.0393212i | ||||
\(873\) | 4.40431 | + | 13.1925i | 0.149063 | + | 0.446499i | ||||
\(874\) | −1.27934 | + | 31.7464i | −0.0432743 | + | 1.07384i | ||||
\(875\) | 19.6293 | − | 24.0415i | 0.663592 | − | 0.812753i | ||||
\(876\) | 6.37037 | + | 7.19066i | 0.215235 | + | 0.242950i | ||||
\(877\) | −2.84656 | − | 0.581130i | −0.0961216 | − | 0.0196234i | 0.151724 | − | 0.988423i | \(-0.451517\pi\) |
−0.247846 | + | 0.968800i | \(0.579723\pi\) | |||||||
\(878\) | 15.5256 | − | 4.49704i | 0.523963 | − | 0.151768i | ||||
\(879\) | −0.705884 | + | 0.267707i | −0.0238089 | + | 0.00902952i | ||||
\(880\) | 0.334499 | + | 8.30051i | 0.0112760 | + | 0.279810i | ||||
\(881\) | −18.5256 | − | 13.9211i | −0.624143 | − | 0.469013i | 0.241009 | − | 0.970523i | \(-0.422522\pi\) |
−0.865152 | + | 0.501510i | \(0.832778\pi\) | |||||||
\(882\) | 4.42914 | − | 0.904216i | 0.149137 | − | 0.0304465i | ||||
\(883\) | 34.4632 | − | 18.0877i | 1.15978 | − | 0.608698i | 0.228692 | − | 0.973499i | \(-0.426555\pi\) |
0.931086 | + | 0.364800i | \(0.118863\pi\) | |||||||
\(884\) | −11.1737 | − | 11.4464i | −0.375811 | − | 0.384982i | ||||
\(885\) | 14.7990 | + | 7.76713i | 0.497464 | + | 0.261089i | ||||
\(886\) | 13.8333 | + | 4.00685i | 0.464737 | + | 0.134613i | ||||
\(887\) | −38.5840 | + | 3.11482i | −1.29552 | + | 0.104586i | −0.708921 | − | 0.705288i | \(-0.750818\pi\) |
−0.586604 | + | 0.809874i | \(0.699536\pi\) | |||||||
\(888\) | 4.22549 | − | 20.6978i | 0.141798 | − | 0.694574i | ||||
\(889\) | 6.02141 | + | 11.4728i | 0.201952 | + | 0.384787i | ||||
\(890\) | 0.0907094 | + | 0.120712i | 0.00304059 | + | 0.00404628i | ||||
\(891\) | −24.5205 | + | 38.7760i | −0.821467 | + | 1.29905i | ||||
\(892\) | 16.0463 | − | 11.0759i | 0.537268 | − | 0.370850i | ||||
\(893\) | −30.5158 | + | 64.3107i | −1.02117 | + | 2.15208i | ||||
\(894\) | −11.5248 | + | 11.9986i | −0.385446 | + | 0.401292i | ||||
\(895\) | −6.86861 | − | 6.59739i | −0.229592 | − | 0.220526i | ||||
\(896\) | 0.276429 | + | 2.27660i | 0.00923484 | + | 0.0760558i | ||||
\(897\) | 10.7045 | − | 28.9287i | 0.357413 | − | 0.965902i | ||||
\(898\) | −4.28491 | + | 35.2894i | −0.142989 | + | 1.17762i | ||||
\(899\) | −30.4825 | + | 24.8882i | −1.01665 | + | 0.830068i | ||||
\(900\) | −0.808000 | − | 3.95785i | −0.0269333 | − | 0.131928i | ||||
\(901\) | −3.78780 | − | 13.0770i | −0.126190 | − | 0.435658i | ||||
\(902\) | −6.99906 | − | 28.3963i | −0.233043 | − | 0.945494i | ||||
\(903\) | 1.09353 | − | 13.5458i | 0.0363905 | − | 0.450777i | ||||
\(904\) | 6.59791 | + | 40.5986i | 0.219443 | + | 1.35029i | ||||
\(905\) | −1.58944 | + | 1.79411i | −0.0528348 | + | 0.0596382i | ||||
\(906\) | 28.2485 | − | 21.2273i | 0.938492 | − | 0.705231i | ||||
\(907\) | 35.3801 | + | 43.3328i | 1.17478 | + | 1.43884i | 0.874524 | + | 0.484981i | \(0.161174\pi\) |
0.300253 | + | 0.953860i | \(0.402929\pi\) | |||||||
\(908\) | 0.297613 | − | 1.83128i | 0.00987662 | − | 0.0607733i | ||||
\(909\) | 3.36192 | + | 0.828638i | 0.111508 | + | 0.0274842i | ||||
\(910\) | −12.7009 | + | 6.15294i | −0.421031 | + | 0.203968i | ||||
\(911\) | 42.2334 | − | 10.4096i | 1.39926 | − | 0.344885i | 0.533689 | − | 0.845681i | \(-0.320805\pi\) |
0.865566 | + | 0.500795i | \(0.166959\pi\) | |||||||
\(912\) | −2.14705 | − | 26.5960i | −0.0710960 | − | 0.880683i | ||||
\(913\) | −21.8098 | + | 7.28117i | −0.721798 | + | 0.240972i | ||||
\(914\) | −21.0682 | − | 21.9344i | −0.696876 | − | 0.725524i | ||||
\(915\) | − | 20.9198i | − | 0.691587i | ||||||
\(916\) | 15.2093 | − | 14.6087i | 0.502530 | − | 0.482687i | ||||
\(917\) | 45.9692 | + | 37.5327i | 1.51804 | + | 1.23944i | ||||
\(918\) | −9.81715 | + | 18.7050i | −0.324014 | + | 0.617358i | ||||
\(919\) | 11.0227 | − | 1.79136i | 0.363604 | − | 0.0590915i | 0.0241354 | − | 0.999709i | \(-0.492317\pi\) |
0.339469 | + | 0.940617i | \(0.389753\pi\) | |||||||
\(920\) | 11.9317 | − | 7.54517i | 0.393378 | − | 0.248757i | ||||
\(921\) | −0.822132 | + | 0.390107i | −0.0270902 | + | 0.0128545i | ||||
\(922\) | 2.78852 | − | 4.03986i | 0.0918349 | − | 0.133046i | ||||
\(923\) | −9.30262 | − | 3.44226i | −0.306200 | − | 0.113303i | ||||
\(924\) | −12.0559 | − | 17.4660i | −0.396609 | − | 0.574588i | ||||
\(925\) | −10.6439 | − | 6.14525i | −0.349969 | − | 0.202055i | ||||
\(926\) | −9.09618 | − | 19.1698i | −0.298919 | − | 0.629958i | ||||
\(927\) | 12.9130 | + | 4.31100i | 0.424119 | + | 0.141592i | ||||
\(928\) | 9.20682 | − | 37.3535i | 0.302229 | − | 1.22619i | ||||
\(929\) | 53.6219 | − | 2.16089i | 1.75928 | − | 0.0708964i | 0.860539 | − | 0.509384i | \(-0.170127\pi\) |
0.898737 | + | 0.438488i | \(0.144486\pi\) | |||||||
\(930\) | 10.9806 | − | 0.442502i | 0.360068 | − | 0.0145102i | ||||
\(931\) | −5.03508 | + | 20.4281i | −0.165018 | + | 0.669505i | ||||
\(932\) | 0.118492 | + | 0.0395583i | 0.00388132 | + | 0.00129578i | ||||
\(933\) | 12.6932 | + | 26.7504i | 0.415558 | + | 0.875769i | ||||
\(934\) | −3.36681 | − | 1.94383i | −0.110165 | − | 0.0636039i | ||||
\(935\) | −14.7177 | − | 21.3222i | −0.481320 | − | 0.697312i | ||||
\(936\) | −3.52287 | + | 14.8070i | −0.115149 | + | 0.483982i | ||||
\(937\) | 25.7871 | − | 37.3591i | 0.842429 | − | 1.22047i | −0.130978 | − | 0.991385i | \(-0.541812\pi\) |
0.973407 | − | 0.229083i | \(-0.0735728\pi\) | |||||||
\(938\) | −40.5199 | + | 19.2269i | −1.32302 | + | 0.627781i | ||||
\(939\) | −0.115535 | + | 0.0730597i | −0.00377033 | + | 0.00238421i | ||||
\(940\) | 8.81021 | − | 1.43180i | 0.287357 | − | 0.0467001i | ||||
\(941\) | 15.6810 | − | 29.8777i | 0.511186 | − | 0.973984i | −0.483914 | − | 0.875115i | \(-0.660785\pi\) |
0.995100 | − | 0.0988687i | \(-0.0315224\pi\) | |||||||
\(942\) | 9.93180 | + | 8.10907i | 0.323596 | + | 0.264208i | ||||
\(943\) | −19.1751 | + | 18.4180i | −0.624429 | + | 0.599772i | ||||
\(944\) | 12.8553i | 0.418404i | ||||||||
\(945\) | −8.36463 | − | 8.70850i | −0.272101 | − | 0.283288i | ||||
\(946\) | 8.77474 | − | 2.92944i | 0.285291 | − | 0.0952443i | ||||
\(947\) | −0.139090 | − | 1.72293i | −0.00451981 | − | 0.0559878i | 0.994104 | − | 0.108429i | \(-0.0345819\pi\) |
−0.998624 | + | 0.0524409i | \(0.983300\pi\) | |||||||
\(948\) | 0.260236 | − | 0.0641423i | 0.00845206 | − | 0.00208325i | ||||
\(949\) | −21.0485 | − | 0.677835i | −0.683264 | − | 0.0220034i | ||||
\(950\) | −28.1759 | − | 6.94473i | −0.914146 | − | 0.225317i | ||||
\(951\) | 0.422273 | − | 2.59835i | 0.0136931 | − | 0.0842573i | ||||
\(952\) | −34.6095 | − | 42.3889i | −1.12170 | − | 1.37383i | ||||
\(953\) | −41.8033 | + | 31.4131i | −1.35414 | + | 1.01757i | −0.357652 | + | 0.933855i | \(0.616423\pi\) |
−0.996490 | + | 0.0837163i | \(0.973321\pi\) | |||||||
\(954\) | −2.42424 | + | 2.73641i | −0.0784878 | + | 0.0885944i | ||||
\(955\) | 2.73017 | + | 16.7994i | 0.0883463 | + | 0.543617i | ||||
\(956\) | −0.0476221 | + | 0.589906i | −0.00154021 | + | 0.0190789i | ||||
\(957\) | −18.9678 | − | 76.9552i | −0.613140 | − | 2.48761i | ||||
\(958\) | 6.08069 | + | 20.9930i | 0.196458 | + | 0.678252i | ||||
\(959\) | −1.52570 | − | 7.47337i | −0.0492674 | − | 0.241328i | ||||
\(960\) | −14.9138 | + | 12.1768i | −0.481342 | + | 0.393004i | ||||
\(961\) | 1.56850 | − | 12.9178i | 0.0505969 | − | 0.416703i | ||||
\(962\) | 7.51060 | + | 10.6950i | 0.242151 | + | 0.344820i | ||||
\(963\) | 0.377629 | + | 3.11006i | 0.0121689 | + | 0.100220i | ||||
\(964\) | −10.4931 | − | 10.0788i | −0.337961 | − | 0.324616i | ||||
\(965\) | −12.7893 | + | 13.3150i | −0.411701 | + | 0.428626i | ||||
\(966\) | 12.7664 | − | 26.9047i | 0.410753 | − | 0.865643i | ||||
\(967\) | 18.3487 | − | 12.6652i | 0.590055 | − | 0.407286i | −0.235281 | − | 0.971927i | \(-0.575601\pi\) |
0.825336 | + | 0.564642i | \(0.190986\pi\) | |||||||
\(968\) | 9.31357 | − | 14.7282i | 0.299349 | − | 0.473383i | ||||
\(969\) | 49.9919 | + | 66.5271i | 1.60597 | + | 2.13716i | ||||
\(970\) | −5.82230 | − | 11.0935i | −0.186943 | − | 0.356190i | ||||
\(971\) | 11.3520 | − | 55.6056i | 0.364302 | − | 1.78447i | −0.222704 | − | 0.974886i | \(-0.571488\pi\) |
0.587006 | − | 0.809582i | \(-0.300306\pi\) | |||||||
\(972\) | −10.4267 | + | 0.841729i | −0.334436 | + | 0.0269985i | ||||
\(973\) | 60.6513 | + | 17.5679i | 1.94439 | + | 0.563200i | ||||
\(974\) | −6.07119 | − | 3.18640i | −0.194533 | − | 0.102099i | ||||
\(975\) | 23.9324 | + | 14.8645i | 0.766450 | + | 0.476044i | ||||
\(976\) | 14.2475 | − | 7.47768i | 0.456053 | − | 0.239355i | ||||
\(977\) | −13.4769 | + | 2.75133i | −0.431164 | + | 0.0880228i | −0.410706 | − | 0.911768i | \(-0.634718\pi\) |
−0.0204584 | + | 0.999791i | \(0.506513\pi\) | |||||||
\(978\) | −3.66009 | − | 2.75038i | −0.117037 | − | 0.0879474i | ||||
\(979\) | −0.0200431 | − | 0.497364i | −0.000640580 | − | 0.0158958i | ||||
\(980\) | 2.46674 | − | 0.935510i | 0.0787970 | − | 0.0298838i | ||||
\(981\) | 0.753497 | − | 0.218253i | 0.0240573 | − | 0.00696829i | ||||
\(982\) | −33.5368 | − | 6.84659i | −1.07020 | − | 0.218483i | ||||
\(983\) | 14.3678 | + | 16.2179i | 0.458261 | + | 0.517270i | 0.931538 | − | 0.363644i | \(-0.118467\pi\) |
−0.473277 | + | 0.880914i | \(0.656929\pi\) | |||||||
\(984\) | 26.3975 | − | 32.3311i | 0.841523 | − | 1.03068i | ||||
\(985\) | 0.348593 | − | 8.65025i | 0.0111071 | − | 0.275620i | ||||
\(986\) | −18.2636 | − | 54.7061i | −0.581631 | − | 1.74220i | ||||
\(987\) | 49.9405 | − | 44.2434i | 1.58962 | − | 1.40828i | ||||
\(988\) | −15.5870 | − | 12.5177i | −0.495889 | − | 0.398243i | ||||
\(989\) | −6.29493 | − | 5.57683i | −0.200167 | − | 0.177333i | ||||
\(990\) | −2.72691 | + | 6.40029i | −0.0866669 | + | 0.203415i | ||||
\(991\) | 14.8077 | − | 25.6477i | 0.470383 | − | 0.814726i | −0.529044 | − | 0.848595i | \(-0.677449\pi\) |
0.999426 | + | 0.0338681i | \(0.0107826\pi\) | |||||||
\(992\) | −8.79234 | − | 15.2288i | −0.279157 | − | 0.483514i | ||||
\(993\) | −52.2973 | + | 6.35005i | −1.65961 | + | 0.201513i | ||||
\(994\) | −8.65174 | − | 4.10530i | −0.274417 | − | 0.130212i | ||||
\(995\) | −4.79263 | + | 2.76703i | −0.151937 | + | 0.0877207i | ||||
\(996\) | −7.62126 | − | 5.26057i | −0.241489 | − | 0.166688i | ||||
\(997\) | 34.5771 | − | 14.7319i | 1.09507 | − | 0.466564i | 0.232546 | − | 0.972585i | \(-0.425294\pi\) |
0.862521 | + | 0.506021i | \(0.168884\pi\) | |||||||
\(998\) | −9.23644 | − | 1.50107i | −0.292374 | − | 0.0475155i | ||||
\(999\) | −6.71729 | + | 8.93909i | −0.212526 | + | 0.282820i |
(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 | 169.2.k.a.4.11 | ✓ | 360 | |
169.127 | even | 78 | inner | 169.2.k.a.127.11 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
169.2.k.a.4.11 | ✓ | 360 | 1.1 | even | 1 | trivial | |
169.2.k.a.127.11 | yes | 360 | 169.127 | even | 78 | inner |