Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,2,Mod(13,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([21, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("245.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.s (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.95633484952\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 27.21 | ||
Character | \(\chi\) | \(=\) | 245.27 |
Dual form | 245.2.s.a.118.21 |
$q$-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 \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{1}{14}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.61654 | + | 0.565653i | 1.14307 | + | 0.399977i | 0.834382 | − | 0.551187i | \(-0.185825\pi\) |
0.308687 | + | 0.951164i | \(0.400111\pi\) | |||||||
\(3\) | −1.61562 | + | 1.01516i | −0.932778 | + | 0.586104i | −0.910437 | − | 0.413647i | \(-0.864255\pi\) |
−0.0223410 | + | 0.999750i | \(0.507112\pi\) | |||||||
\(4\) | 0.729584 | + | 0.581824i | 0.364792 | + | 0.290912i | ||||
\(5\) | 2.01094 | + | 0.977810i | 0.899321 | + | 0.437290i | ||||
\(6\) | −3.18595 | + | 0.727172i | −1.30066 | + | 0.296867i | ||||
\(7\) | 1.92380 | + | 1.81631i | 0.727127 | + | 0.686502i | ||||
\(8\) | −0.972077 | − | 1.54705i | −0.343681 | − | 0.546965i | ||||
\(9\) | 0.278023 | − | 0.577322i | 0.0926745 | − | 0.192441i | ||||
\(10\) | 2.69767 | + | 2.71817i | 0.853079 | + | 0.859560i | ||||
\(11\) | −4.10833 | + | 1.97847i | −1.23871 | + | 0.596530i | −0.934462 | − | 0.356064i | \(-0.884118\pi\) |
−0.304245 | + | 0.952594i | \(0.598404\pi\) | |||||||
\(12\) | −1.76938 | − | 0.199361i | −0.510775 | − | 0.0575505i | ||||
\(13\) | 5.29554 | + | 1.85299i | 1.46872 | + | 0.513927i | 0.941854 | − | 0.336023i | \(-0.109082\pi\) |
0.526864 | + | 0.849950i | \(0.323368\pi\) | |||||||
\(14\) | 2.08250 | + | 4.02435i | 0.556571 | + | 1.07555i | ||||
\(15\) | −4.24155 | + | 0.461660i | −1.09516 | + | 0.119200i | ||||
\(16\) | −1.11161 | − | 4.87029i | −0.277903 | − | 1.21757i | ||||
\(17\) | −2.86306 | − | 0.322590i | −0.694395 | − | 0.0782395i | −0.242289 | − | 0.970204i | \(-0.577898\pi\) |
−0.452105 | + | 0.891964i | \(0.649327\pi\) | |||||||
\(18\) | 0.776000 | − | 0.776000i | 0.182905 | − | 0.182905i | ||||
\(19\) | 2.58217 | 0.592391 | 0.296196 | − | 0.955127i | \(-0.404282\pi\) | ||||
0.296196 | + | 0.955127i | \(0.404282\pi\) | |||||||
\(20\) | 0.898238 | + | 1.88341i | 0.200852 | + | 0.421143i | ||||
\(21\) | −4.95198 | − | 0.981509i | −1.08061 | − | 0.214183i | ||||
\(22\) | −7.76041 | + | 0.874388i | −1.65452 | + | 0.186420i | ||||
\(23\) | −0.798874 | − | 7.09020i | −0.166577 | − | 1.47841i | −0.747397 | − | 0.664377i | \(-0.768697\pi\) |
0.580821 | − | 0.814032i | \(-0.302732\pi\) | |||||||
\(24\) | 3.14101 | + | 1.51263i | 0.641156 | + | 0.308765i | ||||
\(25\) | 3.08777 | + | 3.93264i | 0.617555 | + | 0.786528i | ||||
\(26\) | 7.51231 | + | 5.99087i | 1.47329 | + | 1.17491i | ||||
\(27\) | −0.504018 | − | 4.47328i | −0.0969983 | − | 0.860884i | ||||
\(28\) | 0.346797 | + | 2.44447i | 0.0655386 | + | 0.461961i | ||||
\(29\) | 4.39018 | − | 3.50105i | 0.815236 | − | 0.650129i | −0.124428 | − | 0.992229i | \(-0.539710\pi\) |
0.939664 | + | 0.342100i | \(0.111138\pi\) | |||||||
\(30\) | −7.11779 | − | 1.65295i | −1.29952 | − | 0.301786i | ||||
\(31\) | 0.00527715i | 0.000947804i | 1.00000 | 0.000473902i | \(0.000150848\pi\) | |||||
−1.00000 | 0.000473902i | \(0.999849\pi\) | ||||||||
\(32\) | 0.548783 | − | 4.87058i | 0.0970120 | − | 0.861006i | ||||
\(33\) | 4.62903 | − | 7.36706i | 0.805811 | − | 1.28244i | ||||
\(34\) | −4.44579 | − | 2.14098i | −0.762447 | − | 0.367175i | ||||
\(35\) | 2.09264 | + | 5.53361i | 0.353720 | + | 0.935351i | ||||
\(36\) | 0.538741 | − | 0.259444i | 0.0897902 | − | 0.0432407i | ||||
\(37\) | 0.459367 | − | 4.07699i | 0.0755194 | − | 0.670253i | −0.897737 | − | 0.440532i | \(-0.854790\pi\) |
0.973256 | − | 0.229722i | \(-0.0737816\pi\) | |||||||
\(38\) | 4.17419 | + | 1.46061i | 0.677143 | + | 0.236943i | ||||
\(39\) | −10.4367 | + | 2.38210i | −1.67120 | + | 0.381441i | ||||
\(40\) | −0.442067 | − | 4.06154i | −0.0698969 | − | 0.642185i | ||||
\(41\) | 5.77966 | + | 1.31917i | 0.902631 | + | 0.206020i | 0.648558 | − | 0.761165i | \(-0.275372\pi\) |
0.254073 | + | 0.967185i | \(0.418230\pi\) | |||||||
\(42\) | −7.44989 | − | 4.38775i | −1.14954 | − | 0.677045i | ||||
\(43\) | −5.93007 | − | 3.72611i | −0.904327 | − | 0.568226i | −0.00234341 | − | 0.999997i | \(-0.500746\pi\) |
−0.901983 | + | 0.431771i | \(0.857889\pi\) | |||||||
\(44\) | −4.14849 | − | 0.946865i | −0.625408 | − | 0.142745i | ||||
\(45\) | 1.12360 | − | 0.889106i | 0.167496 | − | 0.132540i | ||||
\(46\) | 2.71918 | − | 11.9135i | 0.400921 | − | 1.75655i | ||||
\(47\) | 0.0854191 | − | 0.244114i | 0.0124597 | − | 0.0356077i | −0.937486 | − | 0.348024i | \(-0.886853\pi\) |
0.949945 | + | 0.312416i | \(0.101138\pi\) | |||||||
\(48\) | 6.74006 | + | 6.74006i | 0.972845 | + | 0.972845i | ||||
\(49\) | 0.402001 | + | 6.98845i | 0.0574287 | + | 0.998350i | ||||
\(50\) | 2.76701 | + | 8.10389i | 0.391314 | + | 1.14606i | ||||
\(51\) | 4.95310 | − | 2.38529i | 0.693573 | − | 0.334007i | ||||
\(52\) | 2.78543 | + | 4.43298i | 0.386269 | + | 0.614744i | ||||
\(53\) | −1.00857 | − | 8.95131i | −0.138538 | − | 1.22956i | −0.849981 | − | 0.526813i | \(-0.823387\pi\) |
0.711443 | − | 0.702743i | \(-0.248042\pi\) | |||||||
\(54\) | 1.71556 | − | 7.51635i | 0.233458 | − | 1.02285i | ||||
\(55\) | −10.1962 | − | 0.0385847i | −1.37485 | − | 0.00520277i | ||||
\(56\) | 0.939852 | − | 4.74181i | 0.125593 | − | 0.633651i | ||||
\(57\) | −4.17181 | + | 2.62132i | −0.552570 | + | 0.347202i | ||||
\(58\) | 9.07729 | − | 3.17628i | 1.19191 | − | 0.417066i | ||||
\(59\) | −2.00691 | − | 8.79284i | −0.261277 | − | 1.14473i | −0.919868 | − | 0.392229i | \(-0.871704\pi\) |
0.658590 | − | 0.752502i | \(-0.271153\pi\) | |||||||
\(60\) | −3.36317 | − | 2.13102i | −0.434184 | − | 0.275113i | ||||
\(61\) | −7.12919 | + | 5.68534i | −0.912799 | + | 0.727933i | −0.962629 | − | 0.270825i | \(-0.912704\pi\) |
0.0498297 | + | 0.998758i | \(0.484132\pi\) | |||||||
\(62\) | −0.00298503 | + | 0.00853074i | −0.000379100 | + | 0.00108340i | ||||
\(63\) | 1.58346 | − | 0.605672i | 0.199497 | − | 0.0763075i | ||||
\(64\) | −0.692772 | + | 1.43856i | −0.0865965 | + | 0.179819i | ||||
\(65\) | 8.83715 | + | 8.90428i | 1.09611 | + | 1.10444i | ||||
\(66\) | 11.6502 | − | 9.29074i | 1.43404 | − | 1.14361i | ||||
\(67\) | 5.67497 | + | 5.67497i | 0.693308 | + | 0.693308i | 0.962958 | − | 0.269650i | \(-0.0869081\pi\) |
−0.269650 | + | 0.962958i | \(0.586908\pi\) | |||||||
\(68\) | −1.90116 | − | 1.90116i | −0.230549 | − | 0.230549i | ||||
\(69\) | 8.48837 | + | 10.6441i | 1.02188 | + | 1.28140i | ||||
\(70\) | 0.252730 | + | 10.1290i | 0.0302071 | + | 1.21065i | ||||
\(71\) | −6.63347 | + | 8.31811i | −0.787248 | + | 0.987178i | 0.212701 | + | 0.977117i | \(0.431774\pi\) |
−0.999949 | + | 0.0100609i | \(0.996797\pi\) | |||||||
\(72\) | −1.16341 | + | 0.131084i | −0.137109 | + | 0.0154484i | ||||
\(73\) | −1.05539 | − | 3.01613i | −0.123524 | − | 0.353012i | 0.865471 | − | 0.500959i | \(-0.167019\pi\) |
−0.988995 | + | 0.147947i | \(0.952733\pi\) | |||||||
\(74\) | 3.04875 | − | 6.33079i | 0.354410 | − | 0.735939i | ||||
\(75\) | −8.98093 | − | 3.21906i | −1.03703 | − | 0.371705i | ||||
\(76\) | 1.88391 | + | 1.50237i | 0.216100 | + | 0.172334i | ||||
\(77\) | −11.4971 | − | 3.65584i | −1.31022 | − | 0.416622i | ||||
\(78\) | −18.2187 | − | 2.05276i | −2.06287 | − | 0.232429i | ||||
\(79\) | 11.1450i | 1.25391i | 0.779055 | + | 0.626956i | \(0.215699\pi\) | ||||
−0.779055 | + | 0.626956i | \(0.784301\pi\) | |||||||
\(80\) | 2.52683 | − | 10.8808i | 0.282508 | − | 1.21651i | ||||
\(81\) | 6.55396 | + | 8.21841i | 0.728218 | + | 0.913156i | ||||
\(82\) | 8.59687 | + | 5.40177i | 0.949366 | + | 0.596526i | ||||
\(83\) | 2.88253 | + | 8.23779i | 0.316398 | + | 0.904215i | 0.986761 | + | 0.162181i | \(0.0518528\pi\) |
−0.670363 | + | 0.742034i | \(0.733861\pi\) | |||||||
\(84\) | −3.04182 | − | 3.59727i | −0.331890 | − | 0.392495i | ||||
\(85\) | −5.44202 | − | 3.44824i | −0.590270 | − | 0.374014i | ||||
\(86\) | −7.47852 | − | 9.37777i | −0.806430 | − | 1.01123i | ||||
\(87\) | −3.53873 | + | 10.1131i | −0.379392 | + | 1.08424i | ||||
\(88\) | 7.05439 | + | 4.43257i | 0.752001 | + | 0.472514i | ||||
\(89\) | 2.29681 | + | 1.10609i | 0.243462 | + | 0.117245i | 0.551636 | − | 0.834085i | \(-0.314004\pi\) |
−0.308174 | + | 0.951330i | \(0.599718\pi\) | |||||||
\(90\) | 2.31927 | − | 0.801710i | 0.244473 | − | 0.0845077i | ||||
\(91\) | 6.82194 | + | 13.1831i | 0.715133 | + | 1.38197i | ||||
\(92\) | 3.54240 | − | 5.63770i | 0.369321 | − | 0.587771i | ||||
\(93\) | −0.00535716 | − | 0.00852587i | −0.000555511 | − | 0.000884091i | ||||
\(94\) | 0.276167 | − | 0.346303i | 0.0284845 | − | 0.0357184i | ||||
\(95\) | 5.19260 | + | 2.52488i | 0.532749 | + | 0.259047i | ||||
\(96\) | 4.05780 | + | 8.42611i | 0.414148 | + | 0.859987i | ||||
\(97\) | −1.42089 | + | 1.42089i | −0.144270 | + | 0.144270i | −0.775553 | − | 0.631283i | \(-0.782529\pi\) |
0.631283 | + | 0.775553i | \(0.282529\pi\) | |||||||
\(98\) | −3.30318 | + | 11.5245i | −0.333672 | + | 1.16415i | ||||
\(99\) | 2.92188i | 0.293660i | ||||||||
\(100\) | −0.0353130 | + | 4.66573i | −0.00353130 | + | 0.466573i | ||||
\(101\) | −14.3842 | − | 3.28311i | −1.43129 | − | 0.326682i | −0.564529 | − | 0.825413i | \(-0.690942\pi\) |
−0.866756 | + | 0.498732i | \(0.833799\pi\) | |||||||
\(102\) | 9.35615 | − | 1.05418i | 0.926397 | − | 0.104380i | ||||
\(103\) | −1.42103 | + | 0.892891i | −0.140018 | + | 0.0879792i | −0.600219 | − | 0.799835i | \(-0.704920\pi\) |
0.460201 | + | 0.887815i | \(0.347777\pi\) | |||||||
\(104\) | −2.28100 | − | 9.99371i | −0.223670 | − | 0.979964i | ||||
\(105\) | −8.99841 | − | 6.81585i | −0.878155 | − | 0.665159i | ||||
\(106\) | 3.43294 | − | 15.0407i | 0.333436 | − | 1.46088i | ||||
\(107\) | −0.324396 | − | 0.927070i | −0.0313605 | − | 0.0896232i | 0.927139 | − | 0.374718i | \(-0.122261\pi\) |
−0.958499 | + | 0.285095i | \(0.907975\pi\) | |||||||
\(108\) | 2.23494 | − | 3.55689i | 0.215057 | − | 0.342262i | ||||
\(109\) | −4.07905 | − | 8.47024i | −0.390702 | − | 0.811301i | −0.999834 | − | 0.0182323i | \(-0.994196\pi\) |
0.609132 | − | 0.793069i | \(-0.291518\pi\) | |||||||
\(110\) | −16.4607 | − | 5.82986i | −1.56947 | − | 0.555856i | ||||
\(111\) | 3.39664 | + | 7.05320i | 0.322395 | + | 0.669460i | ||||
\(112\) | 6.70746 | − | 11.3885i | 0.633795 | − | 1.07611i | ||||
\(113\) | 6.72979 | − | 2.35486i | 0.633085 | − | 0.221526i | 0.00539035 | − | 0.999985i | \(-0.498284\pi\) |
0.627695 | + | 0.778459i | \(0.283998\pi\) | |||||||
\(114\) | −8.22666 | + | 1.87768i | −0.770498 | + | 0.175861i | ||||
\(115\) | 5.32638 | − | 15.0391i | 0.496688 | − | 1.40241i | ||||
\(116\) | 5.24000 | 0.486522 | ||||||||
\(117\) | 2.54205 | − | 2.54205i | 0.235013 | − | 0.235013i | ||||
\(118\) | 1.72944 | − | 15.3492i | 0.159208 | − | 1.41301i | ||||
\(119\) | −4.92203 | − | 5.82082i | −0.451202 | − | 0.533594i | ||||
\(120\) | 4.83733 | + | 6.11313i | 0.441585 | + | 0.558050i | ||||
\(121\) | 6.10563 | − | 7.65621i | 0.555057 | − | 0.696019i | ||||
\(122\) | −14.7406 | + | 5.15795i | −1.33455 | + | 0.466978i | ||||
\(123\) | −10.6769 | + | 3.73601i | −0.962704 | + | 0.336865i | ||||
\(124\) | −0.00307037 | + | 0.00385013i | −0.000275728 | + | 0.000345752i | ||||
\(125\) | 2.36396 | + | 10.9276i | 0.211439 | + | 0.977391i | ||||
\(126\) | 2.90233 | − | 0.0834073i | 0.258560 | − | 0.00743051i | ||||
\(127\) | 2.31186 | − | 20.5183i | 0.205144 | − | 1.82070i | −0.295829 | − | 0.955241i | \(-0.595596\pi\) |
0.500973 | − | 0.865463i | \(-0.332976\pi\) | |||||||
\(128\) | −8.86525 | + | 8.86525i | −0.783585 | + | 0.783585i | ||||
\(129\) | 13.3633 | 1.17658 | ||||||||
\(130\) | 9.24889 | + | 19.3929i | 0.811181 | + | 1.70087i | ||||
\(131\) | 3.93903 | − | 0.899057i | 0.344154 | − | 0.0785510i | −0.0469502 | − | 0.998897i | \(-0.514950\pi\) |
0.391105 | + | 0.920346i | \(0.372093\pi\) | |||||||
\(132\) | 7.66360 | − | 2.68161i | 0.667031 | − | 0.233404i | ||||
\(133\) | 4.96758 | + | 4.69004i | 0.430744 | + | 0.406678i | ||||
\(134\) | 5.96377 | + | 12.3839i | 0.515191 | + | 1.06981i | ||||
\(135\) | 3.36047 | − | 9.48835i | 0.289223 | − | 0.816627i | ||||
\(136\) | 2.28405 | + | 4.74289i | 0.195856 | + | 0.406699i | ||||
\(137\) | 1.73373 | − | 2.75922i | 0.148123 | − | 0.235736i | −0.764419 | − | 0.644720i | \(-0.776974\pi\) |
0.912542 | + | 0.408984i | \(0.134117\pi\) | |||||||
\(138\) | 7.70096 | + | 22.0081i | 0.655549 | + | 1.87345i | ||||
\(139\) | −4.21069 | + | 18.4482i | −0.357146 | + | 1.56476i | 0.403120 | + | 0.915147i | \(0.367926\pi\) |
−0.760266 | + | 0.649612i | \(0.774931\pi\) | |||||||
\(140\) | −1.69284 | + | 5.25478i | −0.143071 | + | 0.444110i | ||||
\(141\) | 0.109810 | + | 0.481109i | 0.00924767 | + | 0.0405167i | ||||
\(142\) | −15.4285 | + | 9.69434i | −1.29473 | + | 0.813531i | ||||
\(143\) | −25.4219 | + | 2.86436i | −2.12588 | + | 0.239529i | ||||
\(144\) | −3.12078 | − | 0.712297i | −0.260065 | − | 0.0593580i | ||||
\(145\) | 12.2518 | − | 2.74765i | 1.01745 | − | 0.228180i | ||||
\(146\) | − | 5.47269i | − | 0.452923i | ||||||
\(147\) | −7.74388 | − | 10.8826i | −0.638704 | − | 0.897580i | ||||
\(148\) | 2.70724 | − | 2.70724i | 0.222534 | − | 0.222534i | ||||
\(149\) | 0.392877 | + | 0.815818i | 0.0321857 | + | 0.0668344i | 0.916442 | − | 0.400168i | \(-0.131048\pi\) |
−0.884256 | + | 0.467002i | \(0.845334\pi\) | |||||||
\(150\) | −12.6972 | − | 10.2838i | −1.03672 | − | 0.839672i | ||||
\(151\) | −3.76736 | + | 4.72412i | −0.306583 | + | 0.384443i | −0.911125 | − | 0.412130i | \(-0.864785\pi\) |
0.604542 | + | 0.796573i | \(0.293356\pi\) | |||||||
\(152\) | −2.51007 | − | 3.99475i | −0.203594 | − | 0.324017i | ||||
\(153\) | −0.982237 | + | 1.56322i | −0.0794091 | + | 0.126379i | ||||
\(154\) | −16.5176 | − | 12.4132i | −1.33103 | − | 1.00028i | ||||
\(155\) | −0.00516005 | + | 0.0106120i | −0.000414465 | + | 0.000852380i | ||||
\(156\) | −9.00038 | − | 4.33436i | −0.720607 | − | 0.347026i | ||||
\(157\) | 11.4744 | + | 7.20986i | 0.915759 | + | 0.575410i | 0.905411 | − | 0.424537i | \(-0.139563\pi\) |
0.0103484 | + | 0.999946i | \(0.496706\pi\) | |||||||
\(158\) | −6.30421 | + | 18.0164i | −0.501536 | + | 1.43331i | ||||
\(159\) | 10.7165 | + | 13.4380i | 0.849873 | + | 1.06571i | ||||
\(160\) | 5.86608 | − | 9.25786i | 0.463754 | − | 0.731898i | ||||
\(161\) | 11.3412 | − | 15.0911i | 0.893809 | − | 1.18935i | ||||
\(162\) | 5.94599 | + | 16.9927i | 0.467161 | + | 1.33507i | ||||
\(163\) | −17.8791 | − | 11.2342i | −1.40040 | − | 0.879928i | −0.401050 | − | 0.916056i | \(-0.631355\pi\) |
−0.999347 | + | 0.0361278i | \(0.988498\pi\) | |||||||
\(164\) | 3.44922 | + | 4.32519i | 0.269339 | + | 0.337741i | ||||
\(165\) | 16.5123 | − | 10.2884i | 1.28548 | − | 0.800952i | ||||
\(166\) | 14.9472i | 1.16013i | ||||||||
\(167\) | 3.73966 | + | 0.421358i | 0.289383 | + | 0.0326057i | 0.255463 | − | 0.966819i | \(-0.417772\pi\) |
0.0339204 | + | 0.999425i | \(0.489201\pi\) | |||||||
\(168\) | 3.29526 | + | 8.61507i | 0.254235 | + | 0.664667i | ||||
\(169\) | 14.4453 | + | 11.5198i | 1.11118 | + | 0.886136i | ||||
\(170\) | −6.84675 | − | 8.65253i | −0.525122 | − | 0.663618i | ||||
\(171\) | 0.717905 | − | 1.49074i | 0.0548995 | − | 0.114000i | ||||
\(172\) | −2.15854 | − | 6.16876i | −0.164587 | − | 0.470364i | ||||
\(173\) | −8.32220 | + | 0.937687i | −0.632725 | + | 0.0712910i | −0.422501 | − | 0.906362i | \(-0.638848\pi\) |
−0.210224 | + | 0.977653i | \(0.567419\pi\) | |||||||
\(174\) | −11.4410 | + | 14.3466i | −0.867341 | + | 1.08761i | ||||
\(175\) | −1.20266 | + | 13.1740i | −0.0909123 | + | 0.995859i | ||||
\(176\) | 14.2026 | + | 17.8094i | 1.07056 | + | 1.34244i | ||||
\(177\) | 12.1686 | + | 12.1686i | 0.914645 | + | 0.914645i | ||||
\(178\) | 3.08724 | + | 3.08724i | 0.231398 | + | 0.231398i | ||||
\(179\) | 12.4834 | − | 9.95521i | 0.933056 | − | 0.744087i | −0.0337952 | − | 0.999429i | \(-0.510759\pi\) |
0.966851 | + | 0.255342i | \(0.0821880\pi\) | |||||||
\(180\) | 1.33706 | + | 0.00505977i | 0.0996589 | + | 0.000377133i | ||||
\(181\) | 0.0682568 | − | 0.141737i | 0.00507349 | − | 0.0105352i | −0.898417 | − | 0.439144i | \(-0.855282\pi\) |
0.903490 | + | 0.428609i | \(0.140996\pi\) | |||||||
\(182\) | 3.57087 | + | 25.1700i | 0.264691 | + | 1.86572i | ||||
\(183\) | 5.74652 | − | 16.4226i | 0.424795 | − | 1.21399i | ||||
\(184\) | −10.1923 | + | 8.12812i | −0.751389 | + | 0.599213i | ||||
\(185\) | 4.91029 | − | 7.74942i | 0.361011 | − | 0.569749i | ||||
\(186\) | −0.00383739 | − | 0.0168127i | −0.000281371 | − | 0.00123277i | ||||
\(187\) | 12.4006 | − | 4.33917i | 0.906824 | − | 0.317311i | ||||
\(188\) | 0.204352 | − | 0.128403i | 0.0149039 | − | 0.00936473i | ||||
\(189\) | 7.15526 | − | 9.52115i | 0.520469 | − | 0.692562i | ||||
\(190\) | 6.96586 | + | 7.01878i | 0.505356 | + | 0.509196i | ||||
\(191\) | −2.41764 | + | 10.5924i | −0.174935 | + | 0.766439i | 0.808985 | + | 0.587829i | \(0.200017\pi\) |
−0.983920 | + | 0.178610i | \(0.942840\pi\) | |||||||
\(192\) | −0.341110 | − | 3.02743i | −0.0246175 | − | 0.218486i | ||||
\(193\) | 7.74524 | + | 12.3265i | 0.557515 | + | 0.887279i | 0.999955 | − | 0.00951859i | \(-0.00302991\pi\) |
−0.442440 | + | 0.896798i | \(0.645887\pi\) | |||||||
\(194\) | −3.10066 | + | 1.49320i | −0.222615 | + | 0.107206i | ||||
\(195\) | −23.3167 | − | 5.41481i | −1.66975 | − | 0.387762i | ||||
\(196\) | −3.77275 | + | 5.33256i | −0.269482 | + | 0.380897i | ||||
\(197\) | −14.9519 | − | 14.9519i | −1.06528 | − | 1.06528i | −0.997715 | − | 0.0675663i | \(-0.978477\pi\) |
−0.0675663 | − | 0.997715i | \(-0.521523\pi\) | |||||||
\(198\) | −1.65277 | + | 4.72335i | −0.117457 | + | 0.335674i | ||||
\(199\) | 0.808671 | − | 3.54302i | 0.0573252 | − | 0.251158i | −0.938144 | − | 0.346246i | \(-0.887456\pi\) |
0.995469 | + | 0.0950883i | \(0.0303133\pi\) | |||||||
\(200\) | 3.08244 | − | 8.59977i | 0.217962 | − | 0.608096i | ||||
\(201\) | −14.9296 | − | 3.40759i | −1.05305 | − | 0.240353i | ||||
\(202\) | −21.3956 | − | 13.4438i | −1.50539 | − | 0.945900i | ||||
\(203\) | 14.8048 | + | 1.23863i | 1.03910 | + | 0.0869349i | ||||
\(204\) | 5.00152 | + | 1.14157i | 0.350177 | + | 0.0799255i | ||||
\(205\) | 10.3327 | + | 8.30418i | 0.721664 | + | 0.579989i | ||||
\(206\) | −2.80222 | + | 0.639588i | −0.195240 | + | 0.0445622i | ||||
\(207\) | −4.31543 | − | 1.51003i | −0.299943 | − | 0.104955i | ||||
\(208\) | 3.13801 | − | 27.8506i | 0.217582 | − | 1.93109i | ||||
\(209\) | −10.6084 | + | 5.10874i | −0.733799 | + | 0.353379i | ||||
\(210\) | −10.6909 | − | 16.1081i | −0.737743 | − | 1.11156i | ||||
\(211\) | −3.60441 | − | 1.73579i | −0.248138 | − | 0.119497i | 0.305681 | − | 0.952134i | \(-0.401116\pi\) |
−0.553819 | + | 0.832637i | \(0.686830\pi\) | |||||||
\(212\) | 4.47225 | − | 7.11754i | 0.307155 | − | 0.488835i | ||||
\(213\) | 2.27295 | − | 20.1729i | 0.155740 | − | 1.38223i | ||||
\(214\) | − | 1.68214i | − | 0.114989i | ||||||
\(215\) | −8.28159 | − | 13.2915i | −0.564800 | − | 0.906470i | ||||
\(216\) | −6.43046 | + | 5.12812i | −0.437537 | + | 0.348924i | ||||
\(217\) | −0.00958497 | + | 0.0101522i | −0.000650670 | + | 0.000689174i | ||||
\(218\) | −1.80275 | − | 15.9998i | −0.122097 | − | 1.08364i | ||||
\(219\) | 4.76697 | + | 3.80153i | 0.322122 | + | 0.256884i | ||||
\(220\) | −7.41651 | − | 5.96053i | −0.500021 | − | 0.401859i | ||||
\(221\) | −14.5637 | − | 7.01351i | −0.979661 | − | 0.471780i | ||||
\(222\) | 1.50116 | + | 13.3231i | 0.100751 | + | 0.894189i | ||||
\(223\) | 14.1416 | − | 1.59337i | 0.946990 | − | 0.106700i | 0.375058 | − | 0.927001i | \(-0.377623\pi\) |
0.571932 | + | 0.820301i | \(0.306194\pi\) | |||||||
\(224\) | 9.90226 | − | 8.37326i | 0.661623 | − | 0.559462i | ||||
\(225\) | 3.12887 | − | 0.689273i | 0.208591 | − | 0.0459515i | ||||
\(226\) | 12.2110 | 0.812265 | ||||||||
\(227\) | −18.1643 | + | 18.1643i | −1.20561 | + | 1.20561i | −0.233175 | + | 0.972435i | \(0.574912\pi\) |
−0.972435 | + | 0.233175i | \(0.925088\pi\) | |||||||
\(228\) | −4.56883 | − | 0.514784i | −0.302578 | − | 0.0340924i | ||||
\(229\) | −1.06965 | − | 4.68644i | −0.0706845 | − | 0.309689i | 0.927210 | − | 0.374541i | \(-0.122200\pi\) |
−0.997895 | + | 0.0648520i | \(0.979342\pi\) | |||||||
\(230\) | 17.1172 | − | 21.2985i | 1.12868 | − | 1.40438i | ||||
\(231\) | 22.2862 | − | 5.76496i | 1.46633 | − | 0.379307i | ||||
\(232\) | −9.68390 | − | 3.38854i | −0.635779 | − | 0.222469i | ||||
\(233\) | −6.23490 | − | 0.702505i | −0.408462 | − | 0.0460226i | −0.0946568 | − | 0.995510i | \(-0.530175\pi\) |
−0.313805 | + | 0.949487i | \(0.601604\pi\) | |||||||
\(234\) | 5.54726 | − | 2.67142i | 0.362636 | − | 0.174636i | ||||
\(235\) | 0.410470 | − | 0.407375i | 0.0267761 | − | 0.0265742i | ||||
\(236\) | 3.65168 | − | 7.58279i | 0.237704 | − | 0.493598i | ||||
\(237\) | −11.3140 | − | 18.0061i | −0.734922 | − | 1.16962i | ||||
\(238\) | −4.66411 | − | 12.1938i | −0.302329 | − | 0.790405i | ||||
\(239\) | 0.797009 | − | 0.181912i | 0.0515542 | − | 0.0117669i | −0.196666 | − | 0.980471i | \(-0.563011\pi\) |
0.248220 | + | 0.968704i | \(0.420154\pi\) | |||||||
\(240\) | 6.96337 | + | 20.1444i | 0.449484 | + | 1.30031i | ||||
\(241\) | −9.63180 | − | 7.68111i | −0.620439 | − | 0.494784i | 0.262089 | − | 0.965044i | \(-0.415589\pi\) |
−0.882528 | + | 0.470260i | \(0.844160\pi\) | |||||||
\(242\) | 14.2008 | − | 8.92293i | 0.912860 | − | 0.573588i | ||||
\(243\) | −6.18479 | − | 2.16415i | −0.396755 | − | 0.138830i | ||||
\(244\) | −8.50921 | −0.544746 | ||||||||
\(245\) | −6.02498 | + | 14.4464i | −0.384922 | + | 0.922949i | ||||
\(246\) | −19.3729 | −1.23517 | ||||||||
\(247\) | 13.6740 | + | 4.78474i | 0.870055 | + | 0.304445i | ||||
\(248\) | 0.00816402 | − | 0.00512980i | 0.000518416 | − | 0.000325742i | ||||
\(249\) | −13.0197 | − | 10.3829i | −0.825093 | − | 0.657990i | ||||
\(250\) | −2.35977 | + | 19.0021i | −0.149245 | + | 1.20180i | ||||
\(251\) | −8.66993 | + | 1.97886i | −0.547241 | + | 0.124904i | −0.487198 | − | 0.873292i | \(-0.661981\pi\) |
−0.0600433 | + | 0.998196i | \(0.519124\pi\) | |||||||
\(252\) | 1.50766 | + | 0.479405i | 0.0949737 | + | 0.0301997i | ||||
\(253\) | 17.3097 | + | 27.5483i | 1.08825 | + | 1.73195i | ||||
\(254\) | 15.3434 | − | 31.8610i | 0.962733 | − | 1.99914i | ||||
\(255\) | 12.2928 | + | 0.0465188i | 0.769803 | + | 0.00291312i | ||||
\(256\) | −16.4686 | + | 7.93086i | −1.02929 | + | 0.495679i | ||||
\(257\) | 28.3223 | + | 3.19116i | 1.76670 | + | 0.199059i | 0.934631 | − | 0.355618i | \(-0.115730\pi\) |
0.832066 | + | 0.554677i | \(0.187158\pi\) | |||||||
\(258\) | 21.6024 | + | 7.55900i | 1.34491 | + | 0.470603i | ||||
\(259\) | 8.28883 | − | 7.00896i | 0.515043 | − | 0.435515i | ||||
\(260\) | 1.26672 | + | 11.6381i | 0.0785584 | + | 0.721764i | ||||
\(261\) | −0.800660 | − | 3.50792i | −0.0495596 | − | 0.217135i | ||||
\(262\) | 6.87616 | + | 0.774757i | 0.424810 | + | 0.0478646i | ||||
\(263\) | 10.7512 | − | 10.7512i | 0.662947 | − | 0.662947i | −0.293127 | − | 0.956074i | \(-0.594696\pi\) |
0.956074 | + | 0.293127i | \(0.0946958\pi\) | |||||||
\(264\) | −15.8970 | −0.978392 | ||||||||
\(265\) | 6.72451 | − | 18.9867i | 0.413083 | − | 1.16635i | ||||
\(266\) | 5.37737 | + | 10.3916i | 0.329708 | + | 0.637148i | ||||
\(267\) | −4.83363 | + | 0.544620i | −0.295814 | + | 0.0333302i | ||||
\(268\) | 0.838535 | + | 7.44221i | 0.0512217 | + | 0.454605i | ||||
\(269\) | −14.2451 | − | 6.86010i | −0.868541 | − | 0.418267i | −0.0541152 | − | 0.998535i | \(-0.517234\pi\) |
−0.814426 | + | 0.580267i | \(0.802948\pi\) | |||||||
\(270\) | 10.7995 | − | 13.4375i | 0.657234 | − | 0.817778i | ||||
\(271\) | −1.58828 | − | 1.26661i | −0.0964814 | − | 0.0769414i | 0.574061 | − | 0.818812i | \(-0.305367\pi\) |
−0.670543 | + | 0.741871i | \(0.733939\pi\) | |||||||
\(272\) | 1.61151 | + | 14.3025i | 0.0977120 | + | 0.867218i | ||||
\(273\) | −24.4047 | − | 14.3736i | −1.47704 | − | 0.869928i | ||||
\(274\) | 4.36342 | − | 3.47971i | 0.263604 | − | 0.210217i | ||||
\(275\) | −20.4662 | − | 10.0475i | −1.23416 | − | 0.605888i | ||||
\(276\) | 12.7045i | 0.764721i | ||||||||
\(277\) | 0.137359 | − | 1.21909i | 0.00825309 | − | 0.0732482i | −0.988911 | − | 0.148513i | \(-0.952551\pi\) |
0.997164 | + | 0.0752643i | \(0.0239800\pi\) | |||||||
\(278\) | −17.2421 | + | 27.4406i | −1.03411 | + | 1.64578i | ||||
\(279\) | 0.00304661 | + | 0.00146717i | 0.000182396 | + | 8.78373e-5i | ||||
\(280\) | 6.52658 | − | 8.61651i | 0.390038 | − | 0.514935i | ||||
\(281\) | −1.39618 | + | 0.672364i | −0.0832890 | + | 0.0401098i | −0.475064 | − | 0.879951i | \(-0.657575\pi\) |
0.391776 | + | 0.920061i | \(0.371861\pi\) | |||||||
\(282\) | −0.0946281 | + | 0.839848i | −0.00563502 | + | 0.0500122i | ||||
\(283\) | 10.8669 | + | 3.80250i | 0.645972 | + | 0.226035i | 0.633326 | − | 0.773885i | \(-0.281689\pi\) |
0.0126453 | + | 0.999920i | \(0.495975\pi\) | |||||||
\(284\) | −9.67935 | + | 2.20925i | −0.574364 | + | 0.131095i | ||||
\(285\) | −10.9524 | + | 1.19209i | −0.648765 | + | 0.0706131i | ||||
\(286\) | −42.7158 | − | 9.74959i | −2.52584 | − | 0.576506i | ||||
\(287\) | 8.72287 | + | 13.0355i | 0.514895 | + | 0.769461i | ||||
\(288\) | −2.65932 | − | 1.67096i | −0.156702 | − | 0.0984623i | ||||
\(289\) | −8.48071 | − | 1.93567i | −0.498865 | − | 0.113863i | ||||
\(290\) | 21.3597 | + | 2.48855i | 1.25429 | + | 0.146133i | ||||
\(291\) | 0.853187 | − | 3.73806i | 0.0500147 | − | 0.219129i | ||||
\(292\) | 0.984862 | − | 2.81457i | 0.0576347 | − | 0.164711i | ||||
\(293\) | −16.5472 | − | 16.5472i | −0.966696 | − | 0.966696i | 0.0327669 | − | 0.999463i | \(-0.489568\pi\) |
−0.999463 | + | 0.0327669i | \(0.989568\pi\) | |||||||
\(294\) | −6.36255 | − | 21.9725i | −0.371072 | − | 1.28146i | ||||
\(295\) | 4.56196 | − | 19.6443i | 0.265607 | − | 1.14373i | ||||
\(296\) | −6.75386 | + | 3.25249i | −0.392560 | + | 0.189047i | ||||
\(297\) | 10.9209 | + | 17.3805i | 0.633695 | + | 1.00852i | ||||
\(298\) | 0.173633 | + | 1.54104i | 0.0100583 | + | 0.0892698i | ||||
\(299\) | 8.90759 | − | 39.0267i | 0.515139 | − | 2.25697i | ||||
\(300\) | −4.67942 | − | 7.57390i | −0.270166 | − | 0.437279i | ||||
\(301\) | −4.64047 | − | 17.9391i | −0.267472 | − | 1.03400i | ||||
\(302\) | −8.76230 | + | 5.50572i | −0.504214 | + | 0.316819i | ||||
\(303\) | 26.5723 | − | 9.29807i | 1.52654 | − | 0.534160i | ||||
\(304\) | −2.87037 | − | 12.5759i | −0.164627 | − | 0.721278i | ||||
\(305\) | −19.8956 | + | 4.46189i | −1.13922 | + | 0.255487i | ||||
\(306\) | −2.47207 | + | 1.97141i | −0.141319 | + | 0.112698i | ||||
\(307\) | 1.51140 | − | 4.31935i | 0.0862604 | − | 0.246518i | −0.892670 | − | 0.450710i | \(-0.851171\pi\) |
0.978931 | + | 0.204192i | \(0.0654566\pi\) | |||||||
\(308\) | −6.26105 | − | 9.35654i | −0.356756 | − | 0.533138i | ||||
\(309\) | 1.38941 | − | 2.88514i | 0.0790409 | − | 0.164130i | ||||
\(310\) | −0.0143442 | + | 0.0142360i | −0.000814694 | + | 0.000808552i | ||||
\(311\) | −11.6815 | + | 9.31565i | −0.662395 | + | 0.528242i | −0.895980 | − | 0.444094i | \(-0.853526\pi\) |
0.233585 | + | 0.972336i | \(0.424954\pi\) | |||||||
\(312\) | 13.8305 | + | 13.8305i | 0.782996 | + | 0.782996i | ||||
\(313\) | 6.55550 | + | 6.55550i | 0.370539 | + | 0.370539i | 0.867673 | − | 0.497135i | \(-0.165615\pi\) |
−0.497135 | + | 0.867673i | \(0.665615\pi\) | |||||||
\(314\) | 14.4706 | + | 18.1456i | 0.816625 | + | 1.02401i | ||||
\(315\) | 3.77648 | + | 0.330351i | 0.212780 | + | 0.0186132i | ||||
\(316\) | −6.48444 | + | 8.13123i | −0.364778 | + | 0.457417i | ||||
\(317\) | −0.0193179 | + | 0.00217660i | −0.00108500 | + | 0.000122250i | −0.112507 | − | 0.993651i | \(-0.535888\pi\) |
0.111422 | + | 0.993773i | \(0.464459\pi\) | |||||||
\(318\) | 9.72239 | + | 27.7850i | 0.545204 | + | 1.55810i | ||||
\(319\) | −11.1096 | + | 23.0693i | −0.622017 | + | 1.29163i | ||||
\(320\) | −2.79976 | + | 2.21545i | −0.156511 | + | 0.123847i | ||||
\(321\) | 1.46523 | + | 1.16848i | 0.0817809 | + | 0.0652181i | ||||
\(322\) | 26.8698 | − | 17.9803i | 1.49740 | − | 1.00200i | ||||
\(323\) | −7.39292 | − | 0.832983i | −0.411353 | − | 0.0463484i | ||||
\(324\) | 9.80927i | 0.544960i | ||||||||
\(325\) | 9.06428 | + | 26.5470i | 0.502796 | + | 1.47257i | ||||
\(326\) | −22.5477 | − | 28.2739i | −1.24880 | − | 1.56594i | ||||
\(327\) | 15.1888 | + | 9.54378i | 0.839945 | + | 0.527773i | ||||
\(328\) | −3.57745 | − | 10.2238i | −0.197532 | − | 0.564513i | ||||
\(329\) | 0.607717 | − | 0.314478i | 0.0335045 | − | 0.0173377i | ||||
\(330\) | 32.5125 | − | 7.29143i | 1.78975 | − | 0.401380i | ||||
\(331\) | −3.36665 | − | 4.22164i | −0.185048 | − | 0.232042i | 0.680651 | − | 0.732608i | \(-0.261697\pi\) |
−0.865699 | + | 0.500565i | \(0.833126\pi\) | |||||||
\(332\) | −2.68990 | + | 7.68728i | −0.147627 | + | 0.421894i | ||||
\(333\) | −2.22602 | − | 1.39870i | −0.121985 | − | 0.0766484i | ||||
\(334\) | 5.80697 | + | 2.79649i | 0.317743 | + | 0.153017i | ||||
\(335\) | 5.86299 | + | 16.9611i | 0.320329 | + | 0.926683i | ||||
\(336\) | 0.724446 | + | 25.2086i | 0.0395218 | + | 1.37524i | ||||
\(337\) | −19.2493 | + | 30.6350i | −1.04857 | + | 1.66880i | −0.380336 | + | 0.924848i | \(0.624192\pi\) |
−0.668238 | + | 0.743948i | \(0.732951\pi\) | |||||||
\(338\) | 16.8353 | + | 26.7932i | 0.915720 | + | 1.45736i | ||||
\(339\) | −8.48222 | + | 10.6364i | −0.460691 | + | 0.577688i | ||||
\(340\) | −1.96414 | − | 5.68208i | −0.106521 | − | 0.308154i | ||||
\(341\) | −0.0104407 | − | 0.0216803i | −0.000565393 | − | 0.00117405i | ||||
\(342\) | 2.00377 | − | 2.00377i | 0.108351 | − | 0.108351i | ||||
\(343\) | −11.9199 | + | 14.1745i | −0.643612 | + | 0.765352i | ||||
\(344\) | 12.7962i | 0.689924i | ||||||||
\(345\) | 6.66173 | + | 29.7046i | 0.358655 | + | 1.59924i | ||||
\(346\) | −13.9836 | − | 3.19167i | −0.751763 | − | 0.171585i | ||||
\(347\) | −4.91905 | + | 0.554244i | −0.264068 | + | 0.0297534i | −0.243006 | − | 0.970025i | \(-0.578133\pi\) |
−0.0210625 | + | 0.999778i | \(0.506705\pi\) | |||||||
\(348\) | −8.46585 | + | 5.31945i | −0.453817 | + | 0.285152i | ||||
\(349\) | 0.392430 | + | 1.71935i | 0.0210063 | + | 0.0920347i | 0.984344 | − | 0.176256i | \(-0.0563985\pi\) |
−0.963338 | + | 0.268290i | \(0.913541\pi\) | |||||||
\(350\) | −9.39604 | + | 20.6160i | −0.502240 | + | 1.10197i | ||||
\(351\) | 5.61990 | − | 24.6224i | 0.299968 | − | 1.31425i | ||||
\(352\) | 7.38170 | + | 21.0957i | 0.393446 | + | 1.12440i | ||||
\(353\) | −15.9139 | + | 25.3269i | −0.847013 | + | 1.34801i | 0.0889939 | + | 0.996032i | \(0.471635\pi\) |
−0.936007 | + | 0.351981i | \(0.885508\pi\) | |||||||
\(354\) | 12.7878 | + | 26.5542i | 0.679665 | + | 1.41134i | ||||
\(355\) | −21.4731 | + | 10.2410i | −1.13967 | + | 0.543534i | ||||
\(356\) | 1.03217 | + | 2.14332i | 0.0547049 | + | 0.113596i | ||||
\(357\) | 13.8612 | + | 4.40758i | 0.733613 | + | 0.233274i | ||||
\(358\) | 25.8112 | − | 9.03173i | 1.36416 | − | 0.477342i | ||||
\(359\) | 5.63109 | − | 1.28526i | 0.297198 | − | 0.0678334i | −0.0713222 | − | 0.997453i | \(-0.522722\pi\) |
0.368520 | + | 0.929620i | \(0.379865\pi\) | |||||||
\(360\) | −2.46772 | − | 0.873988i | −0.130060 | − | 0.0460632i | ||||
\(361\) | −12.3324 | −0.649073 | ||||||||
\(362\) | 0.190514 | − | 0.190514i | 0.0100132 | − | 0.0100132i | ||||
\(363\) | −2.09208 | + | 18.5677i | −0.109806 | + | 0.974553i | ||||
\(364\) | −2.69309 | + | 13.5874i | −0.141156 | + | 0.712172i | ||||
\(365\) | 0.826877 | − | 7.09724i | 0.0432807 | − | 0.371486i | ||||
\(366\) | 18.5790 | − | 23.2973i | 0.971140 | − | 1.21777i | ||||
\(367\) | 33.8629 | − | 11.8492i | 1.76763 | − | 0.618521i | 0.767875 | − | 0.640600i | \(-0.221314\pi\) |
0.999756 | + | 0.0220786i | \(0.00702841\pi\) | |||||||
\(368\) | −33.6433 | + | 11.7723i | −1.75378 | + | 0.613673i | ||||
\(369\) | 2.36847 | − | 2.96996i | 0.123297 | − | 0.154610i | ||||
\(370\) | 12.3212 | − | 9.74975i | 0.640547 | − | 0.506866i | ||||
\(371\) | 14.3181 | − | 19.0524i | 0.743359 | − | 0.989151i | ||||
\(372\) | 0.00105206 | − | 0.00933726i | 5.45466e−5 | − | 0.000484114i | ||||
\(373\) | 2.64812 | − | 2.64812i | 0.137114 | − | 0.137114i | −0.635218 | − | 0.772333i | \(-0.719090\pi\) |
0.772333 | + | 0.635218i | \(0.219090\pi\) | |||||||
\(374\) | 22.5006 | 1.16348 | ||||||||
\(375\) | −14.9125 | − | 15.2550i | −0.770078 | − | 0.787764i | ||||
\(376\) | −0.460690 | + | 0.105150i | −0.0237583 | + | 0.00542268i | ||||
\(377\) | 29.7358 | − | 10.4050i | 1.53147 | − | 0.535884i | ||||
\(378\) | 16.9525 | − | 11.3440i | 0.871940 | − | 0.583470i | ||||
\(379\) | 8.10663 | + | 16.8336i | 0.416410 | + | 0.864684i | 0.998664 | + | 0.0516768i | \(0.0164566\pi\) |
−0.582254 | + | 0.813007i | \(0.697829\pi\) | |||||||
\(380\) | 2.31941 | + | 4.86329i | 0.118983 | + | 0.249481i | ||||
\(381\) | 17.0943 | + | 35.4967i | 0.875767 | + | 1.81855i | ||||
\(382\) | −9.89984 | + | 15.7555i | −0.506520 | + | 0.806122i | ||||
\(383\) | −3.00745 | − | 8.59481i | −0.153674 | − | 0.439174i | 0.841149 | − | 0.540804i | \(-0.181880\pi\) |
−0.994822 | + | 0.101630i | \(0.967594\pi\) | |||||||
\(384\) | 5.32321 | − | 23.3225i | 0.271649 | − | 1.19017i | ||||
\(385\) | −19.5453 | − | 18.5937i | −0.996120 | − | 0.947622i | ||||
\(386\) | 5.54801 | + | 24.3074i | 0.282386 | + | 1.23721i | ||||
\(387\) | −3.79986 | + | 2.38761i | −0.193158 | + | 0.121369i | ||||
\(388\) | −1.86337 | + | 0.209951i | −0.0945983 | + | 0.0106587i | ||||
\(389\) | −0.668159 | − | 0.152503i | −0.0338770 | − | 0.00773220i | 0.205549 | − | 0.978647i | \(-0.434102\pi\) |
−0.239426 | + | 0.970915i | \(0.576959\pi\) | |||||||
\(390\) | −34.6296 | − | 21.9425i | −1.75354 | − | 1.11110i | ||||
\(391\) | 20.5574i | 1.03963i | ||||||||
\(392\) | 10.4207 | − | 7.41522i | 0.526325 | − | 0.374525i | ||||
\(393\) | −5.45128 | + | 5.45128i | −0.274981 | + | 0.274981i | ||||
\(394\) | −15.7128 | − | 32.6280i | −0.791601 | − | 1.64378i | ||||
\(395\) | −10.8977 | + | 22.4120i | −0.548323 | + | 1.12767i | ||||
\(396\) | −1.70002 | + | 2.13176i | −0.0854294 | + | 0.107125i | ||||
\(397\) | 3.25112 | + | 5.17413i | 0.163169 | + | 0.259682i | 0.918294 | − | 0.395899i | \(-0.129567\pi\) |
−0.755125 | + | 0.655581i | \(0.772424\pi\) | |||||||
\(398\) | 3.31137 | − | 5.27001i | 0.165984 | − | 0.264162i | ||||
\(399\) | −12.7869 | − | 2.53442i | −0.640144 | − | 0.126880i | ||||
\(400\) | 15.7207 | − | 19.4099i | 0.786034 | − | 0.970495i | ||||
\(401\) | 12.8313 | + | 6.17924i | 0.640766 | + | 0.308576i | 0.725907 | − | 0.687792i | \(-0.241420\pi\) |
−0.0851419 | + | 0.996369i | \(0.527134\pi\) | |||||||
\(402\) | −22.2068 | − | 13.9535i | −1.10758 | − | 0.695936i | ||||
\(403\) | −0.00977850 | + | 0.0279453i | −0.000487102 | + | 0.00139206i | ||||
\(404\) | −8.58432 | − | 10.7644i | −0.427086 | − | 0.535549i | ||||
\(405\) | 5.14359 | + | 22.9353i | 0.255587 | + | 1.13966i | ||||
\(406\) | 23.2320 | + | 10.3767i | 1.15299 | + | 0.514987i | ||||
\(407\) | 6.17896 | + | 17.6585i | 0.306280 | + | 0.875297i | ||||
\(408\) | −8.50496 | − | 5.34402i | −0.421058 | − | 0.264568i | ||||
\(409\) | 8.65217 | + | 10.8495i | 0.427822 | + | 0.536472i | 0.948288 | − | 0.317410i | \(-0.102813\pi\) |
−0.520466 | + | 0.853882i | \(0.674242\pi\) | |||||||
\(410\) | 12.0059 | + | 19.2688i | 0.592929 | + | 0.951616i | ||||
\(411\) | 6.21787i | 0.306705i | ||||||||
\(412\) | −1.55626 | − | 0.175349i | −0.0766717 | − | 0.00863882i | ||||
\(413\) | 12.1097 | − | 20.5608i | 0.595879 | − | 1.01173i | ||||
\(414\) | −6.12192 | − | 4.88207i | −0.300876 | − | 0.239941i | ||||
\(415\) | −2.25840 | + | 19.3843i | −0.110861 | + | 0.951537i | ||||
\(416\) | 11.9312 | − | 24.7755i | 0.584977 | − | 1.21472i | ||||
\(417\) | −11.9251 | − | 34.0799i | −0.583973 | − | 1.66890i | ||||
\(418\) | −20.0387 | + | 2.25782i | −0.980125 | + | 0.110434i | ||||
\(419\) | −1.25605 | + | 1.57503i | −0.0613620 | + | 0.0769455i | −0.811565 | − | 0.584262i | \(-0.801384\pi\) |
0.750203 | + | 0.661207i | \(0.229956\pi\) | |||||||
\(420\) | −2.59947 | − | 10.2082i | −0.126841 | − | 0.498111i | ||||
\(421\) | −13.3852 | − | 16.7845i | −0.652354 | − | 0.818026i | 0.340133 | − | 0.940377i | \(-0.389528\pi\) |
−0.992487 | + | 0.122351i | \(0.960957\pi\) | |||||||
\(422\) | −4.84482 | − | 4.84482i | −0.235842 | − | 0.235842i | ||||
\(423\) | −0.117184 | − | 0.117184i | −0.00569766 | − | 0.00569766i | ||||
\(424\) | −12.8677 | + | 10.2617i | −0.624912 | + | 0.498351i | ||||
\(425\) | −7.57186 | − | 12.2555i | −0.367289 | − | 0.594478i | ||||
\(426\) | 15.0852 | − | 31.3247i | 0.730880 | − | 1.51769i | ||||
\(427\) | −24.0415 | − | 2.01141i | −1.16345 | − | 0.0973388i | ||||
\(428\) | 0.302718 | − | 0.865117i | 0.0146324 | − | 0.0418170i | ||||
\(429\) | 38.1643 | − | 30.4350i | 1.84259 | − | 1.46942i | ||||
\(430\) | −5.86919 | − | 26.1707i | −0.283038 | − | 1.26206i | ||||
\(431\) | 5.54410 | + | 24.2903i | 0.267050 | + | 1.17002i | 0.913427 | + | 0.407003i | \(0.133426\pi\) |
−0.646377 | + | 0.763018i | \(0.723717\pi\) | |||||||
\(432\) | −21.2259 | + | 7.42726i | −1.02123 | + | 0.357344i | ||||
\(433\) | 10.3621 | − | 6.51094i | 0.497971 | − | 0.312896i | −0.259525 | − | 0.965737i | \(-0.583566\pi\) |
0.757495 | + | 0.652841i | \(0.226423\pi\) | |||||||
\(434\) | −0.0212371 | + | 0.0109897i | −0.00101941 | + | 0.000527521i | ||||
\(435\) | −17.0049 | + | 16.8767i | −0.815321 | + | 0.809174i | ||||
\(436\) | 1.95218 | − | 8.55304i | 0.0934923 | − | 0.409616i | ||||
\(437\) | −2.06283 | − | 18.3081i | −0.0986785 | − | 0.875796i | ||||
\(438\) | 5.55566 | + | 8.84179i | 0.265460 | + | 0.422477i | ||||
\(439\) | 15.5147 | − | 7.47148i | 0.740476 | − | 0.356594i | −0.0253190 | − | 0.999679i | \(-0.508060\pi\) |
0.765795 | + | 0.643085i | \(0.222346\pi\) | |||||||
\(440\) | 9.85176 | + | 15.8115i | 0.469664 | + | 0.753784i | ||||
\(441\) | 4.14635 | + | 1.71087i | 0.197445 | + | 0.0814699i | ||||
\(442\) | −19.5756 | − | 19.5756i | −0.931118 | − | 0.931118i | ||||
\(443\) | −0.713512 | + | 2.03910i | −0.0339000 | + | 0.0968806i | −0.959590 | − | 0.281404i | \(-0.909200\pi\) |
0.925690 | + | 0.378284i | \(0.123486\pi\) | |||||||
\(444\) | −1.62558 | + | 7.12215i | −0.0771468 | + | 0.338002i | ||||
\(445\) | 3.53721 | + | 4.47012i | 0.167680 | + | 0.211904i | ||||
\(446\) | 23.7617 | + | 5.42346i | 1.12515 | + | 0.256808i | ||||
\(447\) | −1.46293 | − | 0.919218i | −0.0691940 | − | 0.0434775i | ||||
\(448\) | −3.94562 | + | 1.50920i | −0.186413 | + | 0.0713029i | ||||
\(449\) | −32.7507 | − | 7.47514i | −1.54560 | − | 0.352774i | −0.637143 | − | 0.770745i | \(-0.719884\pi\) |
−0.908460 | + | 0.417972i | \(0.862741\pi\) | |||||||
\(450\) | 5.44784 | + | 0.655616i | 0.256814 | + | 0.0309060i | ||||
\(451\) | −26.3546 | + | 6.01528i | −1.24099 | + | 0.283248i | ||||
\(452\) | 6.28006 | + | 2.19749i | 0.295389 | + | 0.103361i | ||||
\(453\) | 1.29088 | − | 11.4569i | 0.0606507 | − | 0.538290i | ||||
\(454\) | −39.6381 | + | 19.0887i | −1.86031 | + | 0.895878i | ||||
\(455\) | 0.827905 | + | 33.1811i | 0.0388128 | + | 1.55555i | ||||
\(456\) | 8.11064 | + | 3.90588i | 0.379815 | + | 0.182909i | ||||
\(457\) | 10.3734 | − | 16.5092i | 0.485249 | − | 0.772270i | −0.510928 | − | 0.859623i | \(-0.670698\pi\) |
0.996177 | + | 0.0873537i | \(0.0278410\pi\) | |||||||
\(458\) | 0.921764 | − | 8.18088i | 0.0430712 | − | 0.382268i | ||||
\(459\) | 12.9699i | 0.605383i | ||||||||
\(460\) | 12.6362 | − | 7.87329i | 0.589164 | − | 0.367094i | ||||
\(461\) | 18.2966 | − | 14.5911i | 0.852158 | − | 0.679574i | −0.0966870 | − | 0.995315i | \(-0.530825\pi\) |
0.948845 | + | 0.315741i | \(0.102253\pi\) | |||||||
\(462\) | 39.2876 | + | 3.28696i | 1.82782 | + | 0.152923i | ||||
\(463\) | −3.44763 | − | 30.5986i | −0.160225 | − | 1.42204i | −0.774314 | − | 0.632801i | \(-0.781905\pi\) |
0.614089 | − | 0.789237i | \(-0.289523\pi\) | |||||||
\(464\) | −21.9313 | − | 17.4896i | −1.01813 | − | 0.811935i | ||||
\(465\) | −0.00243625 | − | 0.0223833i | −0.000112978 | − | 0.00103800i | ||||
\(466\) | −9.68161 | − | 4.66242i | −0.448492 | − | 0.215982i | ||||
\(467\) | −2.97141 | − | 26.3720i | −0.137500 | − | 1.22035i | −0.853065 | − | 0.521804i | \(-0.825259\pi\) |
0.715565 | − | 0.698546i | \(-0.246169\pi\) | |||||||
\(468\) | 3.33367 | − | 0.375614i | 0.154099 | − | 0.0173628i | ||||
\(469\) | 0.609966 | + | 21.2250i | 0.0281656 | + | 0.980081i | ||||
\(470\) | 0.893975 | − | 0.426356i | 0.0412360 | − | 0.0196663i | ||||
\(471\) | −25.8575 | −1.19145 | ||||||||
\(472\) | −11.6521 | + | 11.6521i | −0.536332 | + | 0.536332i | ||||
\(473\) | 31.7346 | + | 3.57563i | 1.45916 | + | 0.164408i | ||||
\(474\) | −8.10434 | − | 35.5074i | −0.372245 | − | 1.63091i | ||||
\(475\) | 7.97317 | + | 10.1548i | 0.365834 | + | 0.465932i | ||||
\(476\) | −0.204343 | − | 7.11054i | −0.00936605 | − | 0.325911i | ||||
\(477\) | −5.44819 | − | 1.90640i | −0.249455 | − | 0.0872882i | ||||
\(478\) | 1.39130 | + | 0.156762i | 0.0636365 | + | 0.00717011i | ||||
\(479\) | 9.70129 | − | 4.67189i | 0.443263 | − | 0.213464i | −0.198920 | − | 0.980016i | \(-0.563743\pi\) |
0.642183 | + | 0.766552i | \(0.278029\pi\) | |||||||
\(480\) | −0.0791367 | + | 20.9122i | −0.00361208 | + | 0.954506i | ||||
\(481\) | 9.98721 | − | 20.7387i | 0.455378 | − | 0.945602i | ||||
\(482\) | −11.2254 | − | 17.8651i | −0.511302 | − | 0.813733i | ||||
\(483\) | −3.00309 | + | 35.8946i | −0.136645 | + | 1.63326i | ||||
\(484\) | 8.90914 | − | 2.03345i | 0.404961 | − | 0.0924296i | ||||
\(485\) | −4.24669 | + | 1.46797i | −0.192832 | + | 0.0666570i | ||||
\(486\) | −8.77382 | − | 6.99689i | −0.397989 | − | 0.317385i | ||||
\(487\) | −12.7386 | + | 8.00416i | −0.577239 | + | 0.362703i | −0.788789 | − | 0.614664i | \(-0.789292\pi\) |
0.211550 | + | 0.977367i | \(0.432149\pi\) | |||||||
\(488\) | 15.7256 | + | 5.50263i | 0.711866 | + | 0.249093i | ||||
\(489\) | 40.2903 | 1.82199 | ||||||||
\(490\) | −17.9113 | + | 19.9452i | −0.809150 | + | 0.901034i | ||||
\(491\) | 20.6677 | 0.932722 | 0.466361 | − | 0.884594i | \(-0.345565\pi\) | ||||
0.466361 | + | 0.884594i | \(0.345565\pi\) | |||||||
\(492\) | −9.96340 | − | 3.48634i | −0.449185 | − | 0.157176i | ||||
\(493\) | −13.6988 | + | 8.60751i | −0.616961 | + | 0.387663i | ||||
\(494\) | 19.3981 | + | 15.4695i | 0.872761 | + | 0.696004i | ||||
\(495\) | −2.85705 | + | 5.87574i | −0.128415 | + | 0.264095i | ||||
\(496\) | 0.0257012 | − | 0.00586614i | 0.00115402 | − | 0.000263397i | ||||
\(497\) | −27.8698 | + | 3.95390i | −1.25013 | + | 0.177356i | ||||
\(498\) | −15.1739 | − | 24.1491i | −0.679957 | − | 1.08215i | ||||
\(499\) | −5.43932 | + | 11.2949i | −0.243498 | + | 0.505628i | −0.986520 | − | 0.163638i | \(-0.947677\pi\) |
0.743023 | + | 0.669266i | \(0.233391\pi\) | |||||||
\(500\) | −4.63321 | + | 9.34799i | −0.207204 | + | 0.418055i | ||||
\(501\) | −6.46961 | + | 3.11560i | −0.289041 | + | 0.139195i | ||||
\(502\) | −15.1347 | − | 1.70527i | −0.675493 | − | 0.0761098i | ||||
\(503\) | −12.2914 | − | 4.30094i | −0.548046 | − | 0.191769i | 0.0420315 | − | 0.999116i | \(-0.486617\pi\) |
−0.590077 | + | 0.807347i | \(0.700903\pi\) | |||||||
\(504\) | −2.47625 | − | 1.86093i | −0.110301 | − | 0.0828925i | ||||
\(505\) | −25.7156 | − | 20.6672i | −1.14433 | − | 0.919678i | ||||
\(506\) | 12.3992 | + | 54.3243i | 0.551210 | + | 2.41501i | ||||
\(507\) | −35.0326 | − | 3.94723i | −1.55585 | − | 0.175302i | ||||
\(508\) | 13.6247 | − | 13.6247i | 0.604500 | − | 0.604500i | ||||
\(509\) | −10.3945 | −0.460728 | −0.230364 | − | 0.973105i | \(-0.573992\pi\) | ||||
−0.230364 | + | 0.973105i | \(0.573992\pi\) | |||||||
\(510\) | 19.8455 | + | 7.02863i | 0.878772 | + | 0.311233i | ||||
\(511\) | 3.44789 | − | 7.71935i | 0.152526 | − | 0.341484i | ||||
\(512\) | −6.19125 | + | 0.697587i | −0.273617 | + | 0.0308293i | ||||
\(513\) | −1.30146 | − | 11.5508i | −0.0574609 | − | 0.509980i | ||||
\(514\) | 43.9791 | + | 21.1792i | 1.93984 | + | 0.934176i | ||||
\(515\) | −3.73068 | + | 0.406056i | −0.164393 | + | 0.0178930i | ||||
\(516\) | 9.74968 | + | 7.77511i | 0.429206 | + | 0.342280i | ||||
\(517\) | 0.132041 | + | 1.17190i | 0.00580716 | + | 0.0515400i | ||||
\(518\) | 17.3639 | − | 6.64168i | 0.762925 | − | 0.291819i | ||||
\(519\) | 12.4936 | − | 9.96332i | 0.548409 | − | 0.437341i | ||||
\(520\) | 5.18500 | − | 22.3272i | 0.227377 | − | 0.979111i | ||||
\(521\) | 37.2467i | 1.63181i | 0.578186 | + | 0.815905i | \(0.303761\pi\) | ||||
−0.578186 | + | 0.815905i | \(0.696239\pi\) | |||||||
\(522\) | 0.689964 | − | 6.12360i | 0.0301989 | − | 0.268023i | ||||
\(523\) | −4.52588 | + | 7.20290i | −0.197903 | + | 0.314961i | −0.930902 | − | 0.365269i | \(-0.880977\pi\) |
0.732999 | + | 0.680230i | \(0.238120\pi\) | |||||||
\(524\) | 3.39694 | + | 1.63588i | 0.148396 | + | 0.0714639i | ||||
\(525\) | −11.4307 | − | 22.5050i | −0.498875 | − | 0.982200i | ||||
\(526\) | 23.4612 | − | 11.2983i | 1.02296 | − | 0.492630i | ||||
\(527\) | 0.00170235 | − | 0.0151088i | 7.41557e−5 | − | 0.000658150i | ||||
\(528\) | −41.0254 | − | 14.3554i | −1.78540 | − | 0.624738i | ||||
\(529\) | −27.2094 | + | 6.21037i | −1.18302 | + | 0.270016i | ||||
\(530\) | 21.6104 | − | 26.8892i | 0.938694 | − | 1.16799i | ||||
\(531\) | −5.63427 | − | 1.28598i | −0.244506 | − | 0.0558070i | ||||
\(532\) | 0.895491 | + | 6.31204i | 0.0388245 | + | 0.273661i | ||||
\(533\) | 28.1620 | + | 17.6954i | 1.21983 | + | 0.766471i | ||||
\(534\) | −8.12184 | − | 1.85376i | −0.351466 | − | 0.0802199i | ||||
\(535\) | 0.254158 | − | 2.18148i | 0.0109882 | − | 0.0943137i | ||||
\(536\) | 3.26296 | − | 14.2960i | 0.140939 | − | 0.617492i | ||||
\(537\) | −10.0623 | + | 28.7565i | −0.434222 | + | 1.24094i | ||||
\(538\) | −19.1474 | − | 19.1474i | −0.825505 | − | 0.825505i | ||||
\(539\) | −15.4780 | − | 27.9155i | −0.666683 | − | 1.20240i | ||||
\(540\) | 7.97230 | − | 4.96735i | 0.343073 | − | 0.213761i | ||||
\(541\) | 12.7998 | − | 6.16406i | 0.550307 | − | 0.265014i | −0.138002 | − | 0.990432i | \(-0.544068\pi\) |
0.688308 | + | 0.725418i | \(0.258354\pi\) | |||||||
\(542\) | −1.85107 | − | 2.94595i | −0.0795101 | − | 0.126540i | ||||
\(543\) | 0.0336086 | + | 0.298284i | 0.00144228 | + | 0.0128006i | ||||
\(544\) | −3.14240 | + | 13.7678i | −0.134729 | + | 0.590288i | ||||
\(545\) | 0.0795511 | − | 21.0217i | 0.00340760 | − | 0.900470i | ||||
\(546\) | −31.3207 | − | 37.0401i | −1.34040 | − | 1.58517i | ||||
\(547\) | 26.2039 | − | 16.4650i | 1.12040 | − | 0.703992i | 0.161253 | − | 0.986913i | \(-0.448446\pi\) |
0.959143 | + | 0.282921i | \(0.0913035\pi\) | |||||||
\(548\) | 2.87029 | − | 1.00436i | 0.122613 | − | 0.0429040i | ||||
\(549\) | 1.30019 | + | 5.69649i | 0.0554906 | + | 0.243120i | ||||
\(550\) | −27.4010 | − | 27.8190i | −1.16838 | − | 1.18621i | ||||
\(551\) | 11.3362 | − | 9.04032i | 0.482938 | − | 0.385131i | ||||
\(552\) | 8.21559 | − | 23.4788i | 0.349679 | − | 0.999324i | ||||
\(553\) | −20.2429 | + | 21.4408i | −0.860814 | + | 0.911754i | ||||
\(554\) | 0.911630 | − | 1.89302i | 0.0387314 | − | 0.0804267i | ||||
\(555\) | −0.0662425 | + | 17.5048i | −0.00281184 | + | 0.743039i | ||||
\(556\) | −13.8057 | + | 11.0097i | −0.585491 | + | 0.466914i | ||||
\(557\) | 18.1086 | + | 18.1086i | 0.767285 | + | 0.767285i | 0.977628 | − | 0.210343i | \(-0.0674579\pi\) |
−0.210343 | + | 0.977628i | \(0.567458\pi\) | |||||||
\(558\) | 0.00409507 | + | 0.00409507i | 0.000173358 | + | 0.000173358i | ||||
\(559\) | −24.4984 | − | 30.7201i | −1.03617 | − | 1.29932i | ||||
\(560\) | 24.6241 | − | 16.3430i | 1.04056 | − | 0.690616i | ||||
\(561\) | −15.6297 | + | 19.5991i | −0.659888 | + | 0.827474i | ||||
\(562\) | −2.63730 | + | 0.297153i | −0.111248 | + | 0.0125346i | ||||
\(563\) | −6.11384 | − | 17.4724i | −0.257668 | − | 0.736372i | −0.997945 | − | 0.0640706i | \(-0.979592\pi\) |
0.740278 | − | 0.672301i | \(-0.234694\pi\) | |||||||
\(564\) | −0.199805 | + | 0.414900i | −0.00841332 | + | 0.0174704i | ||||
\(565\) | 15.8358 | + | 1.84498i | 0.666218 | + | 0.0776190i | ||||
\(566\) | 15.4160 | + | 12.2938i | 0.647981 | + | 0.516748i | ||||
\(567\) | −2.31872 | + | 27.7146i | −0.0973769 | + | 1.16390i | ||||
\(568\) | 19.3168 | + | 2.17648i | 0.810514 | + | 0.0913230i | ||||
\(569\) | 24.1733i | 1.01340i | 0.862124 | + | 0.506698i | \(0.169134\pi\) | ||||
−0.862124 | + | 0.506698i | \(0.830866\pi\) | |||||||
\(570\) | −18.3794 | − | 4.26821i | −0.769827 | − | 0.178776i | ||||
\(571\) | 4.11498 | + | 5.16002i | 0.172206 | + | 0.215940i | 0.860444 | − | 0.509546i | \(-0.170187\pi\) |
−0.688237 | + | 0.725486i | \(0.741615\pi\) | |||||||
\(572\) | −20.2139 | − | 12.7013i | −0.845187 | − | 0.531066i | ||||
\(573\) | −6.84699 | − | 19.5676i | −0.286037 | − | 0.817447i | ||||
\(574\) | 6.72733 | + | 26.0066i | 0.280793 | + | 1.08549i | ||||
\(575\) | 25.4165 | − | 25.0346i | 1.05994 | − | 1.04402i | ||||
\(576\) | 0.637902 | + | 0.799904i | 0.0265793 | + | 0.0333293i | ||||
\(577\) | 9.42718 | − | 26.9413i | 0.392458 | − | 1.12158i | −0.563000 | − | 0.826457i | \(-0.690353\pi\) |
0.955459 | − | 0.295125i | \(-0.0953613\pi\) | |||||||
\(578\) | −12.6145 | − | 7.92622i | −0.524694 | − | 0.329687i | ||||
\(579\) | −25.0267 | − | 12.0522i | −1.04008 | − | 0.500874i | ||||
\(580\) | 10.5373 | + | 5.12373i | 0.437539 | + | 0.212751i | ||||
\(581\) | −9.41701 | + | 21.0834i | −0.390684 | + | 0.874687i | ||||
\(582\) | 3.49365 | − | 5.56012i | 0.144817 | − | 0.230474i | ||||
\(583\) | 21.8534 | + | 34.7795i | 0.905075 | + | 1.44042i | ||||
\(584\) | −3.64019 | + | 4.56466i | −0.150632 | + | 0.188887i | ||||
\(585\) | 7.59757 | − | 2.62628i | 0.314121 | − | 0.108583i | ||||
\(586\) | −17.3893 | − | 36.1092i | −0.718344 | − | 1.49166i | ||||
\(587\) | 11.3155 | − | 11.3155i | 0.467039 | − | 0.467039i | −0.433915 | − | 0.900954i | \(-0.642868\pi\) |
0.900954 | + | 0.433915i | \(0.142868\pi\) | |||||||
\(588\) | 0.681932 | − | 12.4453i | 0.0281224 | − | 0.513237i | ||||
\(589\) | 0.0136265i | 0.000561471i | ||||||||
\(590\) | 18.4864 | − | 29.1753i | 0.761075 | − | 1.20113i | ||||
\(591\) | 39.3353 | + | 8.97802i | 1.61804 | + | 0.369306i | ||||
\(592\) | −20.3668 | + | 2.29478i | −0.837069 | + | 0.0943150i | ||||
\(593\) | −14.0919 | + | 8.85451i | −0.578684 | + | 0.363611i | −0.789347 | − | 0.613948i | \(-0.789581\pi\) |
0.210663 | + | 0.977559i | \(0.432438\pi\) | |||||||
\(594\) | 7.82277 | + | 34.2738i | 0.320972 | + | 1.40627i | ||||
\(595\) | −4.20626 | − | 16.5182i | −0.172440 | − | 0.677178i | ||||
\(596\) | −0.188025 | + | 0.823793i | −0.00770182 | + | 0.0337439i | ||||
\(597\) | 2.29023 | + | 6.54510i | 0.0937329 | + | 0.267873i | ||||
\(598\) | 36.4751 | − | 58.0498i | 1.49158 | − | 2.37383i | ||||
\(599\) | −1.05652 | − | 2.19390i | −0.0431684 | − | 0.0896401i | 0.878269 | − | 0.478167i | \(-0.158698\pi\) |
−0.921438 | + | 0.388526i | \(0.872984\pi\) | |||||||
\(600\) | 3.75010 | + | 17.0231i | 0.153097 | + | 0.694967i | ||||
\(601\) | 4.77853 | + | 9.92272i | 0.194920 | + | 0.404756i | 0.975405 | − | 0.220418i | \(-0.0707422\pi\) |
−0.780485 | + | 0.625174i | \(0.785028\pi\) | |||||||
\(602\) | 2.64581 | − | 31.6243i | 0.107835 | − | 1.28891i | ||||
\(603\) | 4.85406 | − | 1.69851i | 0.197673 | − | 0.0691686i | ||||
\(604\) | −5.49721 | + | 1.25470i | −0.223678 | + | 0.0510531i | ||||
\(605\) | 19.7644 | − | 9.42605i | 0.803536 | − | 0.383224i | ||||
\(606\) | 48.2148 | 1.95859 | ||||||||
\(607\) | −20.3037 | + | 20.3037i | −0.824103 | + | 0.824103i | −0.986694 | − | 0.162591i | \(-0.948015\pi\) |
0.162591 | + | 0.986694i | \(0.448015\pi\) | |||||||
\(608\) | 1.41705 | − | 12.5767i | 0.0574691 | − | 0.510052i | ||||
\(609\) | −25.1764 | + | 13.0281i | −1.02020 | + | 0.527927i | ||||
\(610\) | −34.6859 | − | 4.04115i | −1.40439 | − | 0.163621i | ||||
\(611\) | 0.904680 | − | 1.13443i | 0.0365994 | − | 0.0458942i | ||||
\(612\) | −1.62614 | + | 0.569012i | −0.0657330 | + | 0.0230010i | ||||
\(613\) | −5.77660 | + | 2.02132i | −0.233314 | + | 0.0816403i | −0.444404 | − | 0.895826i | \(-0.646585\pi\) |
0.211090 | + | 0.977467i | \(0.432299\pi\) | |||||||
\(614\) | 4.88650 | − | 6.12748i | 0.197203 | − | 0.247285i | ||||
\(615\) | −25.1237 | − | 2.92709i | −1.01309 | − | 0.118032i | ||||
\(616\) | 5.52029 | + | 21.3404i | 0.222419 | + | 0.859828i | ||||
\(617\) | −2.51293 | + | 22.3028i | −0.101167 | + | 0.897878i | 0.835937 | + | 0.548826i | \(0.184925\pi\) |
−0.937103 | + | 0.349052i | \(0.886504\pi\) | |||||||
\(618\) | 3.87803 | − | 3.87803i | 0.155997 | − | 0.155997i | ||||
\(619\) | 21.9987 | 0.884204 | 0.442102 | − | 0.896965i | \(-0.354233\pi\) | ||||
0.442102 | + | 0.896965i | \(0.354233\pi\) | |||||||
\(620\) | −0.00993903 | + | 0.00474014i | −0.000399161 | + | 0.000190368i | ||||
\(621\) | −31.3138 | + | 7.14718i | −1.25658 | + | 0.286806i | ||||
\(622\) | −24.1530 | + | 8.45150i | −0.968447 | + | 0.338874i | ||||
\(623\) | 2.40960 | + | 6.29962i | 0.0965387 | + | 0.252389i | ||||
\(624\) | 23.2030 | + | 48.1815i | 0.928863 | + | 1.92880i | ||||
\(625\) | −5.93131 | + | 24.2862i | −0.237252 | + | 0.971448i | ||||
\(626\) | 6.88911 | + | 14.3054i | 0.275344 | + | 0.571758i | ||||
\(627\) | 11.9530 | − | 19.0230i | 0.477355 | − | 0.759706i | ||||
\(628\) | 4.17669 | + | 11.9363i | 0.166668 | + | 0.476310i | ||||
\(629\) | −2.63039 | + | 11.5245i | −0.104881 | + | 0.459512i | ||||
\(630\) | 5.91797 | + | 2.67020i | 0.235778 | + | 0.106383i | ||||
\(631\) | −4.01182 | − | 17.5769i | −0.159708 | − | 0.699726i | −0.989843 | − | 0.142164i | \(-0.954594\pi\) |
0.830135 | − | 0.557562i | \(-0.188263\pi\) | |||||||
\(632\) | 17.2419 | − | 10.8338i | 0.685846 | − | 0.430946i | ||||
\(633\) | 7.58546 | − | 0.854676i | 0.301495 | − | 0.0339703i | ||||
\(634\) | −0.0324594 | − | 0.00740865i | −0.00128913 | − | 0.000294235i | ||||
\(635\) | 24.7120 | − | 39.0005i | 0.980666 | − | 1.54769i | ||||
\(636\) | 16.0393i | 0.635999i | ||||||||
\(637\) | −10.8207 | + | 37.7525i | −0.428732 | + | 1.49581i | ||||
\(638\) | −31.0083 | + | 31.0083i | −1.22763 | + | 1.22763i | ||||
\(639\) | 2.95796 | + | 6.14228i | 0.117015 | + | 0.242985i | ||||
\(640\) | −26.4960 | + | 9.15897i | −1.04735 | + | 0.362040i | ||||
\(641\) | 21.8122 | − | 27.3516i | 0.861531 | − | 1.08033i | −0.134465 | − | 0.990918i | \(-0.542931\pi\) |
0.995995 | − | 0.0894068i | \(-0.0284971\pi\) | |||||||
\(642\) | 1.70765 | + | 2.71770i | 0.0673954 | + | 0.107259i | ||||
\(643\) | −17.3802 | + | 27.6605i | −0.685410 | + | 1.09082i | 0.304958 | + | 0.952366i | \(0.401358\pi\) |
−0.990368 | + | 0.138458i | \(0.955785\pi\) | |||||||
\(644\) | 17.0547 | − | 4.41168i | 0.672050 | − | 0.173845i | ||||
\(645\) | 26.8729 | + | 13.0668i | 1.05812 | + | 0.514505i | ||||
\(646\) | −11.4798 | − | 5.52838i | −0.451667 | − | 0.217511i | ||||
\(647\) | 31.2173 | + | 19.6152i | 1.22728 | + | 0.771151i | 0.980232 | − | 0.197852i | \(-0.0633965\pi\) |
0.247048 | + | 0.969003i | \(0.420539\pi\) | |||||||
\(648\) | 6.34334 | − | 18.1282i | 0.249190 | − | 0.712144i | ||||
\(649\) | 25.6414 | + | 32.1533i | 1.00651 | + | 1.26213i | ||||
\(650\) | −0.363608 | + | 48.0417i | −0.0142619 | + | 1.88435i | ||||
\(651\) | 0.00517957 | − | 0.0261323i | 0.000203003 | − | 0.00102421i | ||||
\(652\) | −6.50799 | − | 18.5988i | −0.254872 | − | 0.728383i | ||||
\(653\) | −18.5928 | − | 11.6826i | −0.727592 | − | 0.457177i | 0.116626 | − | 0.993176i | \(-0.462792\pi\) |
−0.844218 | + | 0.535999i | \(0.819935\pi\) | |||||||
\(654\) | 19.1550 | + | 24.0195i | 0.749018 | + | 0.939239i | ||||
\(655\) | 8.80026 | + | 2.04367i | 0.343855 | + | 0.0798528i | ||||
\(656\) | − | 29.6150i | − | 1.15627i | ||||||
\(657\) | −2.03470 | − | 0.229256i | −0.0793813 | − | 0.00894412i | ||||
\(658\) | 1.16028 | − | 0.164610i | 0.0452326 | − | 0.00641717i | ||||
\(659\) | 22.9792 | + | 18.3253i | 0.895142 | + | 0.713852i | 0.958789 | − | 0.284120i | \(-0.0917016\pi\) |
−0.0636464 | + | 0.997973i | \(0.520273\pi\) | |||||||
\(660\) | 18.0332 | + | 2.10099i | 0.701940 | + | 0.0817808i | ||||
\(661\) | 10.4360 | − | 21.6705i | 0.405913 | − | 0.842886i | −0.593367 | − | 0.804932i | \(-0.702202\pi\) |
0.999279 | − | 0.0379542i | \(-0.0120841\pi\) | |||||||
\(662\) | −3.05434 | − | 8.72881i | −0.118710 | − | 0.339255i | ||||
\(663\) | 30.6492 | − | 3.45334i | 1.19032 | − | 0.134117i | ||||
\(664\) | 9.94224 | − | 12.4672i | 0.385834 | − | 0.483820i | ||||
\(665\) | 5.40355 | + | 14.2887i | 0.209541 | + | 0.554094i | ||||
\(666\) | −2.80728 | − | 3.52022i | −0.108780 | − | 0.136406i | ||||
\(667\) | −28.3303 | − | 28.3303i | −1.09696 | − | 1.09696i | ||||
\(668\) | 2.48324 | + | 2.48324i | 0.0960794 | + | 0.0960794i | ||||
\(669\) | −21.2299 | + | 16.9303i | −0.820794 | + | 0.654561i | ||||
\(670\) | −0.116308 | + | 30.7347i | −0.00449336 | + | 1.18739i | ||||
\(671\) | 18.0408 | − | 37.4621i | 0.696457 | − | 1.44621i | ||||
\(672\) | −7.49808 | + | 23.5804i | −0.289245 | + | 0.909633i | ||||
\(673\) | 0.877700 | − | 2.50832i | 0.0338328 | − | 0.0966887i | −0.925728 | − | 0.378190i | \(-0.876547\pi\) |
0.959561 | + | 0.281501i | \(0.0908323\pi\) | |||||||
\(674\) | −48.4460 | + | 38.6344i | −1.86607 | + | 1.48814i | ||||
\(675\) | 16.0355 | − | 15.7946i | 0.617207 | − | 0.607935i | ||||
\(676\) | 3.83661 | + | 16.8093i | 0.147562 | + | 0.646511i | ||||
\(677\) | −36.6464 | + | 12.8231i | −1.40844 | + | 0.492833i | −0.924134 | − | 0.382067i | \(-0.875212\pi\) |
−0.484302 | + | 0.874901i | \(0.660927\pi\) | |||||||
\(678\) | −19.7284 | + | 12.3962i | −0.757663 | + | 0.476072i | ||||
\(679\) | −5.31430 | + | 0.152723i | −0.203944 | + | 0.00586095i | ||||
\(680\) | −0.0445445 | + | 11.7710i | −0.00170820 | + | 0.451399i | ||||
\(681\) | 10.9069 | − | 47.7864i | 0.417955 | − | 1.83118i | ||||
\(682\) | −0.00461428 | − | 0.0409528i | −0.000176690 | − | 0.00156817i | ||||
\(683\) | −0.456387 | − | 0.726336i | −0.0174632 | − | 0.0277925i | 0.837879 | − | 0.545857i | \(-0.183796\pi\) |
−0.855342 | + | 0.518064i | \(0.826653\pi\) | |||||||
\(684\) | 1.39112 | − | 0.669929i | 0.0531909 | − | 0.0256154i | ||||
\(685\) | 6.18443 | − | 3.85337i | 0.236295 | − | 0.147230i | ||||
\(686\) | −27.2868 | + | 16.1712i | −1.04182 | + | 0.617420i | ||||
\(687\) | 6.48564 | + | 6.48564i | 0.247443 | + | 0.247443i | ||||
\(688\) | −11.5553 | + | 33.0231i | −0.440541 | + | 1.25899i | ||||
\(689\) | 11.2457 | − | 49.2708i | 0.428429 | − | 1.87707i | ||||
\(690\) | −6.03355 | + | 51.7870i | −0.229693 | + | 1.97150i | ||||
\(691\) | 32.2750 | + | 7.36656i | 1.22780 | + | 0.280237i | 0.786765 | − | 0.617253i | \(-0.211755\pi\) |
0.441034 | + | 0.897490i | \(0.354612\pi\) | |||||||
\(692\) | −6.61732 | − | 4.15794i | −0.251553 | − | 0.158061i | ||||
\(693\) | −5.30706 | + | 5.62112i | −0.201599 | + | 0.213529i | ||||
\(694\) | −8.26536 | − | 1.88652i | −0.313749 | − | 0.0716111i | ||||
\(695\) | −26.5063 | + | 32.9811i | −1.00544 | + | 1.25104i | ||||
\(696\) | 19.0854 | − | 4.35612i | 0.723431 | − | 0.165118i | ||||
\(697\) | −16.1220 | − | 5.64132i | −0.610664 | − | 0.213680i | ||||
\(698\) | −0.338175 | + | 3.00138i | −0.0128001 | + | 0.113604i | ||||
\(699\) | 10.7864 | − | 5.19445i | 0.407979 | − | 0.196472i | ||||
\(700\) | −8.54238 | + | 8.91179i | −0.322871 | + | 0.336834i | ||||
\(701\) | 17.9754 | + | 8.65649i | 0.678921 | + | 0.326951i | 0.741370 | − | 0.671097i | \(-0.234177\pi\) |
−0.0624484 | + | 0.998048i | \(0.519891\pi\) | |||||||
\(702\) | 23.0125 | − | 36.6242i | 0.868552 | − | 1.38229i | ||||
\(703\) | 1.18616 | − | 10.5275i | 0.0447370 | − | 0.397052i | ||||
\(704\) | − | 7.28068i | − | 0.274401i | ||||||
\(705\) | −0.249612 | + | 1.07486i | −0.00940093 | + | 0.0404814i | ||||
\(706\) | −40.0518 | + | 31.9402i | −1.50737 | + | 1.20209i | ||||
\(707\) | −21.7092 | − | 32.4424i | −0.816459 | − | 1.22012i | ||||
\(708\) | 1.79803 | + | 15.9579i | 0.0675741 | + | 0.599736i | ||||
\(709\) | −33.9202 | − | 27.0505i | −1.27390 | − | 1.01590i | −0.998510 | − | 0.0545691i | \(-0.982621\pi\) |
−0.275390 | − | 0.961333i | \(-0.588807\pi\) | |||||||
\(710\) | −40.5050 | + | 4.40865i | −1.52012 | + | 0.165454i | ||||
\(711\) | 6.43426 | + | 3.09858i | 0.241304 | + | 0.116206i | ||||
\(712\) | −0.521505 | − | 4.62849i | −0.0195442 | − | 0.173460i | ||||
\(713\) | 0.0374161 | − | 0.00421578i | 0.00140124 | − | 0.000157882i | ||||
\(714\) | 19.9141 | + | 14.9657i | 0.745265 | + | 0.560076i | ||||
\(715\) | −53.9227 | − | 19.0977i | −2.01659 | − | 0.714214i | ||||
\(716\) | 14.8999 | 0.556835 | ||||||||
\(717\) | −1.10299 | + | 1.10299i | −0.0411920 | + | 0.0411920i | ||||
\(718\) | 9.82991 | + | 1.10756i | 0.366849 | + | 0.0413339i | ||||
\(719\) | 10.1579 | + | 44.5047i | 0.378826 | + | 1.65974i | 0.701073 | + | 0.713089i | \(0.252705\pi\) |
−0.322247 | + | 0.946656i | \(0.604438\pi\) | |||||||
\(720\) | −5.57921 | − | 4.48391i | −0.207925 | − | 0.167106i | ||||
\(721\) | −4.35554 | − | 0.863292i | −0.162209 | − | 0.0321507i | ||||
\(722\) | −19.9358 | − | 6.97585i | −0.741935 | − | 0.259614i | ||||
\(723\) | 23.3589 | + | 2.63192i | 0.868727 | + | 0.0978820i | ||||
\(724\) | 0.132265 | − | 0.0636954i | 0.00491559 | − | 0.00236722i | ||||
\(725\) | 27.3243 | + | 6.45454i | 1.01480 | + | 0.239716i | ||||
\(726\) | −13.8848 | + | 28.8321i | −0.515314 | + | 1.07006i | ||||
\(727\) | −21.8001 | − | 34.6947i | −0.808522 | − | 1.28676i | −0.954722 | − | 0.297501i | \(-0.903847\pi\) |
0.146199 | − | 0.989255i | \(-0.453296\pi\) | |||||||
\(728\) | 13.7635 | − | 23.3689i | 0.510111 | − | 0.866109i | ||||
\(729\) | −18.5553 | + | 4.23513i | −0.687234 | + | 0.156857i | ||||
\(730\) | 5.35125 | − | 11.0053i | 0.198059 | − | 0.407323i | ||||
\(731\) | 15.7762 | + | 12.5811i | 0.583502 | + | 0.465327i | ||||
\(732\) | 13.7476 | − | 8.63822i | 0.508128 | − | 0.319278i | ||||
\(733\) | −10.9104 | − | 3.81770i | −0.402984 | − | 0.141010i | 0.121174 | − | 0.992631i | \(-0.461334\pi\) |
−0.524158 | + | 0.851621i | \(0.675620\pi\) | |||||||
\(734\) | 61.4434 | 2.26792 | ||||||||
\(735\) | −4.93140 | − | 29.4563i | −0.181897 | − | 1.08651i | ||||
\(736\) | −34.9718 | −1.28908 | ||||||||
\(737\) | −34.5424 | − | 12.0869i | −1.27238 | − | 0.445227i | ||||
\(738\) | 5.50869 | − | 3.46134i | 0.202778 | − | 0.127414i | ||||
\(739\) | −40.1942 | − | 32.0538i | −1.47857 | − | 1.17912i | −0.942162 | − | 0.335158i | \(-0.891210\pi\) |
−0.536406 | − | 0.843960i | \(-0.680218\pi\) | |||||||
\(740\) | 8.09127 | − | 2.79693i | 0.297441 | − | 0.102817i | ||||
\(741\) | −26.9492 | + | 6.15099i | −0.990005 | + | 0.225962i | ||||
\(742\) | 33.9229 | − | 22.6999i | 1.24535 | − | 0.833341i | ||||
\(743\) | 15.6575 | + | 24.9188i | 0.574420 | + | 0.914184i | 0.999957 | + | 0.00924291i | \(0.00294215\pi\) |
−0.425538 | + | 0.904941i | \(0.639915\pi\) | |||||||
\(744\) | −0.00798239 | + | 0.0165756i | −0.000292648 | + | 0.000607691i | ||||
\(745\) | −0.00766203 | + | 2.02472i | −0.000280715 | + | 0.0741800i | ||||
\(746\) | 5.77872 | − | 2.78288i | 0.211574 | − | 0.101889i | ||||
\(747\) | 5.55726 | + | 0.626153i | 0.203330 | + | 0.0229097i | ||||
\(748\) | 11.5719 | + | 4.04920i | 0.423112 | + | 0.148053i | ||||
\(749\) | 1.05978 | − | 2.37270i | 0.0387235 | − | 0.0866966i | ||||
\(750\) | −15.4777 | − | 33.0956i | −0.565164 | − | 1.20848i | ||||
\(751\) | 8.11359 | + | 35.5480i | 0.296069 | + | 1.29716i | 0.875926 | + | 0.482445i | \(0.160251\pi\) |
−0.579857 | + | 0.814718i | \(0.696892\pi\) | |||||||
\(752\) | −1.28386 | − | 0.144656i | −0.0468174 | − | 0.00527506i | ||||
\(753\) | 11.9985 | − | 11.9985i | 0.437248 | − | 0.437248i | ||||
\(754\) | 53.9547 | 1.96492 | ||||||||
\(755\) | −12.1952 | + | 5.81616i | −0.443830 | + | 0.211672i | ||||
\(756\) | 10.7600 | − | 2.78338i | 0.391338 | − | 0.101231i | ||||
\(757\) | 22.2191 | − | 2.50350i | 0.807569 | − | 0.0909911i | 0.301480 | − | 0.953473i | \(-0.402519\pi\) |
0.506089 | + | 0.862481i | \(0.331091\pi\) | |||||||
\(758\) | 3.58275 | + | 31.7978i | 0.130131 | + | 1.15495i | ||||
\(759\) | −55.9319 | − | 26.9354i | −2.03020 | − | 0.977693i | ||||
\(760\) | −1.14149 | − | 10.4876i | −0.0414063 | − | 0.380425i | ||||
\(761\) | 26.3615 | + | 21.0226i | 0.955604 | + | 0.762068i | 0.971312 | − | 0.237808i | \(-0.0764290\pi\) |
−0.0157086 | + | 0.999877i | \(0.505000\pi\) | |||||||
\(762\) | 7.55487 | + | 67.0513i | 0.273684 | + | 2.42901i | ||||
\(763\) | 7.53734 | − | 23.7039i | 0.272870 | − | 0.858138i | ||||
\(764\) | −7.92678 | + | 6.32140i | −0.286781 | + | 0.228700i | ||||
\(765\) | −3.50375 | + | 2.18311i | −0.126679 | + | 0.0789303i | ||||
\(766\) | − | 15.5951i | − | 0.563472i | ||||||
\(767\) | 5.66538 | − | 50.2816i | 0.204565 | − | 1.81556i | ||||
\(768\) | 18.5559 | − | 29.5315i | 0.669578 | − | 1.06563i | ||||
\(769\) | 4.44276 | + | 2.13952i | 0.160210 | + | 0.0771530i | 0.512270 | − | 0.858824i | \(-0.328805\pi\) |
−0.352060 | + | 0.935977i | \(0.614519\pi\) | |||||||
\(770\) | −21.0782 | − | 41.1133i | −0.759607 | − | 1.48162i | ||||
\(771\) | −48.9976 | + | 23.5960i | −1.76461 | + | 0.849790i | ||||
\(772\) | −1.52104 | + | 13.4996i | −0.0547433 | + | 0.485860i | ||||
\(773\) | −35.0074 | − | 12.2496i | −1.25913 | − | 0.440588i | −0.383485 | − | 0.923547i | \(-0.625276\pi\) |
−0.875643 | + | 0.482959i | \(0.839562\pi\) | |||||||
\(774\) | −7.49319 | + | 1.71027i | −0.269337 | + | 0.0614745i | ||||
\(775\) | −0.0207531 | + | 0.0162946i | −0.000745474 | + | 0.000585321i | ||||
\(776\) | 3.57941 | + | 0.816977i | 0.128493 | + | 0.0293278i | ||||
\(777\) | −6.27638 | + | 19.7383i | −0.225164 | + | 0.708108i | ||||
\(778\) | −0.993843 | − | 0.624473i | −0.0356310 | − | 0.0223885i | ||||
\(779\) | 14.9241 | + | 3.40632i | 0.534711 | + | 0.122044i | ||||
\(780\) | −13.8611 | − | 17.5168i | −0.496306 | − | 0.627202i | ||||
\(781\) | 10.7954 | − | 47.2976i | 0.386289 | − | 1.69244i | ||||
\(782\) | −11.6284 | + | 33.2319i | −0.415829 | + | 1.18837i | ||||
\(783\) | −17.8739 | − | 17.8739i | −0.638762 | − | 0.638762i | ||||
\(784\) | 33.5889 | − | 9.72629i | 1.19960 | − | 0.347368i | ||||
\(785\) | 16.0245 | + | 25.7184i | 0.571940 | + | 0.917930i | ||||
\(786\) | −11.8958 | + | 5.72870i | −0.424308 | + | 0.204336i | ||||
\(787\) | −7.18410 | − | 11.4334i | −0.256086 | − | 0.407558i | 0.693794 | − | 0.720173i | \(-0.255938\pi\) |
−0.949880 | + | 0.312615i | \(0.898795\pi\) | |||||||
\(788\) | −2.20930 | − | 19.6081i | −0.0787031 | − | 0.698509i | ||||
\(789\) | −6.45564 | + | 28.2840i | −0.229827 | + | 1.00694i | ||||
\(790\) | −30.2940 | + | 30.0656i | −1.07781 | + | 1.06969i | ||||
\(791\) | 17.2239 | + | 7.69315i | 0.612412 | + | 0.273537i | ||||
\(792\) | 4.52031 | − | 2.84030i | 0.160622 | − | 0.100926i | ||||
\(793\) | −48.2877 | + | 16.8966i | −1.71475 | + | 0.600016i | ||||
\(794\) | 2.32882 | + | 10.2032i | 0.0826466 | + | 0.362098i | ||||
\(795\) | 8.41037 | + | 37.5018i | 0.298285 | + | 1.33005i | ||||
\(796\) | 2.65141 | − | 2.11443i | 0.0939766 | − | 0.0749439i | ||||
\(797\) | −16.9224 | + | 48.3614i | −0.599422 | + | 1.71305i | 0.0968771 | + | 0.995296i | \(0.469115\pi\) |
−0.696299 | + | 0.717752i | \(0.745171\pi\) | |||||||
\(798\) | −19.2369 | − | 11.3299i | −0.680979 | − | 0.401075i | ||||
\(799\) | −0.323309 | + | 0.671358i | −0.0114378 | + | 0.0237509i | ||||
\(800\) | 20.8488 | − | 12.8811i | 0.737115 | − | 0.455416i | ||||
\(801\) | 1.27714 | − | 1.01848i | 0.0451254 | − | 0.0359863i | ||||
\(802\) | 17.2471 | + | 17.2471i | 0.609015 | + | 0.609015i | ||||
\(803\) | 10.3032 | + | 10.3032i | 0.363592 | + | 0.363592i | ||||
\(804\) | −8.90979 | − | 11.1725i | −0.314224 | − | 0.394025i | ||||
\(805\) | 37.5627 | − | 19.2579i | 1.32391 | − | 0.678750i | ||||
\(806\) | −0.0316147 | + | 0.0396436i | −0.00111358 | + | 0.00139639i | ||||
\(807\) | 29.9788 | − | 3.37780i | 1.05530 | − | 0.118904i | ||||
\(808\) | 8.90345 | + | 25.4446i | 0.313222 | + | 0.895138i | ||||
\(809\) | 1.28631 | − | 2.67106i | 0.0452243 | − | 0.0939093i | −0.877132 | − | 0.480249i | \(-0.840546\pi\) |
0.922357 | + | 0.386339i | \(0.126261\pi\) | |||||||
\(810\) | −4.65857 | + | 39.9853i | −0.163685 | + | 1.40494i | ||||
\(811\) | 15.8298 | + | 12.6238i | 0.555859 | + | 0.443283i | 0.860694 | − | 0.509122i | \(-0.170030\pi\) |
−0.304835 | + | 0.952405i | \(0.598601\pi\) | |||||||
\(812\) | 10.0807 | + | 9.51749i | 0.353763 | + | 0.333999i | ||||
\(813\) | 3.85188 | + | 0.434003i | 0.135091 | + | 0.0152211i | ||||
\(814\) | 32.0408i | 1.12303i | ||||||||
\(815\) | −24.9689 | − | 40.0736i | −0.874622 | − | 1.40372i | ||||
\(816\) | −17.1230 | − | 21.4715i | −0.599423 | − | 0.751653i | ||||
\(817\) | −15.3125 | − | 9.62145i | −0.535715 | − | 0.336612i | ||||
\(818\) | 7.84956 | + | 22.4328i | 0.274454 | + | 0.784343i | ||||
\(819\) | 9.50757 | − | 0.273229i | 0.332221 | − | 0.00954739i | ||||
\(820\) | 2.70697 | + | 12.0704i | 0.0945316 | + | 0.421516i | ||||
\(821\) | −19.1046 | − | 23.9564i | −0.666754 | − | 0.836083i | 0.327306 | − | 0.944919i | \(-0.393859\pi\) |
−0.994060 | + | 0.108835i | \(0.965288\pi\) | |||||||
\(822\) | −3.51716 | + | 10.0515i | −0.122675 | + | 0.350585i | ||||
\(823\) | 47.4788 | + | 29.8329i | 1.65501 | + | 1.03991i | 0.940219 | + | 0.340570i | \(0.110620\pi\) |
0.714789 | + | 0.699340i | \(0.246523\pi\) | |||||||
\(824\) | 2.76270 | + | 1.33044i | 0.0962431 | + | 0.0463482i | ||||
\(825\) | 43.2654 | − | 4.54351i | 1.50631 | − | 0.158185i | ||||
\(826\) | 31.2061 | − | 26.3876i | 1.08580 | − | 0.918142i | ||||
\(827\) | 20.9053 | − | 33.2706i | 0.726948 | − | 1.15693i | −0.254846 | − | 0.966982i | \(-0.582025\pi\) |
0.981794 | − | 0.189949i | \(-0.0608324\pi\) | |||||||
\(828\) | −2.26990 | − | 3.61252i | −0.0788843 | − | 0.125544i | ||||
\(829\) | −15.8561 | + | 19.8829i | −0.550704 | + | 0.690561i | −0.976809 | − | 0.214113i | \(-0.931314\pi\) |
0.426105 | + | 0.904674i | \(0.359885\pi\) | |||||||
\(830\) | −14.6156 | + | 30.0580i | −0.507314 | + | 1.04333i | ||||
\(831\) | 1.01566 | + | 2.10903i | 0.0352327 | + | 0.0731615i | ||||
\(832\) | −6.33422 | + | 6.33422i | −0.219600 | + | 0.219600i | ||||
\(833\) | 1.10345 | − | 20.1381i | 0.0382322 | − | 0.697742i | ||||
\(834\) | − | 61.8370i | − | 2.14124i | ||||||
\(835\) | 7.10822 | + | 4.50400i | 0.245990 | + | 0.155867i | ||||
\(836\) | −10.7121 | − | 2.44497i | −0.370486 | − | 0.0845611i | ||||
\(837\) | 0.0236062 | − | 0.00265978i | 0.000815949 | − | 9.19354e-5i | ||||
\(838\) | −2.92138 | + | 1.83562i | −0.100917 | + | 0.0634105i | ||||
\(839\) | −2.93050 | − | 12.8393i | −0.101172 | − | 0.443263i | −0.999988 | − | 0.00493695i | \(-0.998429\pi\) |
0.898816 | − | 0.438326i | \(-0.144429\pi\) | |||||||
\(840\) | −1.79733 | + | 20.5465i | −0.0620137 | + | 0.708923i | ||||
\(841\) | 0.563207 | − | 2.46757i | 0.0194209 | − | 0.0850887i | ||||
\(842\) | −12.1435 | − | 34.7042i | −0.418494 | − | 1.19599i | ||||
\(843\) | 1.57313 | − | 2.50363i | 0.0541816 | − | 0.0862295i | ||||
\(844\) | −1.61979 | − | 3.36354i | −0.0557556 | − | 0.115778i | ||||
\(845\) | 17.7846 | + | 37.2904i | 0.611808 | + | 1.28283i | ||||
\(846\) | −0.123147 | − | 0.255718i | −0.00423388 | − | 0.00879175i | ||||
\(847\) | 25.6521 | − | 3.63927i | 0.881416 | − | 0.125047i | ||||
\(848\) | −42.4743 | + | 14.8624i | −1.45857 | + | 0.510377i | ||||
\(849\) | −21.4170 | + | 4.88828i | −0.735029 | + | 0.167765i | ||||
\(850\) | −5.30789 | − | 24.0946i | −0.182059 | − | 0.826436i | ||||
\(851\) | −29.2737 | −1.00349 | ||||||||
\(852\) | 13.3954 | − | 13.3954i | 0.458919 | − | 0.458919i | ||||
\(853\) | 2.82259 | − | 25.0511i | 0.0966435 | − | 0.857735i | −0.848080 | − | 0.529868i | \(-0.822242\pi\) |
0.944724 | − | 0.327867i | \(-0.106330\pi\) | |||||||
\(854\) | −37.7263 | − | 16.8507i | −1.29097 | − | 0.576618i | ||||
\(855\) | 2.90133 | − | 2.29583i | 0.0992234 | − | 0.0785156i | ||||
\(856\) | −1.11889 | + | 1.40304i | −0.0382428 | + | 0.0479549i | ||||
\(857\) | −31.8396 | + | 11.1412i | −1.08762 | + | 0.380575i | −0.813764 | − | 0.581196i | \(-0.802585\pi\) |
−0.273856 | + | 0.961771i | \(0.588299\pi\) | |||||||
\(858\) | 78.9098 | − | 27.6117i | 2.69394 | − | 0.942649i | ||||
\(859\) | 22.0135 | − | 27.6040i | 0.751090 | − | 0.941838i | −0.248551 | − | 0.968619i | \(-0.579954\pi\) |
0.999641 | + | 0.0267812i | \(0.00852575\pi\) | |||||||
\(860\) | 1.69118 | − | 14.5157i | 0.0576686 | − | 0.494980i | ||||
\(861\) | −27.3260 | − | 12.2053i | −0.931266 | − | 0.415955i | ||||
\(862\) | −4.77759 | + | 42.4023i | −0.162725 | + | 1.44423i | ||||
\(863\) | 24.2813 | − | 24.2813i | 0.826546 | − | 0.826546i | −0.160491 | − | 0.987037i | \(-0.551308\pi\) |
0.987037 | + | 0.160491i | \(0.0513078\pi\) | |||||||
\(864\) | −22.0641 | −0.750636 | ||||||||
\(865\) | −17.6523 | − | 6.25190i | −0.600198 | − | 0.212571i | ||||
\(866\) | 20.4337 | − | 4.66386i | 0.694365 | − | 0.158484i | ||||
\(867\) | 15.6666 | − | 5.48198i | 0.532066 | − | 0.186178i | ||||
\(868\) | −0.0128998 | + | 0.00183010i | −0.000437848 | + | 6.21177e-5i | ||||
\(869\) | −22.0500 | − | 45.7874i | −0.747996 | − | 1.55323i | ||||
\(870\) | −37.0354 | + | 17.6630i | −1.25562 | + | 0.598831i | ||||
\(871\) | 19.5364 | + | 40.5677i | 0.661965 | + | 1.37458i | ||||
\(872\) | −9.13874 | + | 14.5442i | −0.309477 | + | 0.492529i | ||||
\(873\) | 0.425270 | + | 1.21535i | 0.0143932 | + | 0.0411335i | ||||
\(874\) | 7.02139 | − | 30.7627i | 0.237502 | − | 1.04056i | ||||
\(875\) | −15.3001 | + | 25.3161i | −0.517239 | + | 0.855841i | ||||
\(876\) | 1.26608 | + | 5.54707i | 0.0427770 | + | 0.187418i | ||||
\(877\) | 29.3429 | − | 18.4374i | 0.990838 | − | 0.622585i | 0.0639623 | − | 0.997952i | \(-0.479626\pi\) |
0.926876 | + | 0.375367i | \(0.122483\pi\) | |||||||
\(878\) | 29.3064 | − | 3.30204i | 0.989044 | − | 0.111438i | ||||
\(879\) | 43.5320 | + | 9.93589i | 1.46830 | + | 0.335129i | ||||
\(880\) | 11.1463 | + | 49.7011i | 0.375740 | + | 1.67543i | ||||
\(881\) | − | 34.1351i | − | 1.15004i | −0.818139 | − | 0.575020i | \(-0.804994\pi\) | ||
0.818139 | − | 0.575020i | \(-0.195006\pi\) | |||||||
\(882\) | 5.73499 | + | 5.11108i | 0.193107 | + | 0.172099i | ||||
\(883\) | 7.70592 | − | 7.70592i | 0.259325 | − | 0.259325i | −0.565455 | − | 0.824779i | \(-0.691299\pi\) |
0.824779 | + | 0.565455i | \(0.191299\pi\) | |||||||
\(884\) | −6.54482 | − | 13.5905i | −0.220126 | − | 0.457097i | ||||
\(885\) | 12.5717 | + | 36.3688i | 0.422594 | + | 1.22252i | ||||
\(886\) | −2.30685 | + | 2.89269i | −0.0775000 | + | 0.0971819i | ||||
\(887\) | 5.52394 | + | 8.79130i | 0.185476 | + | 0.295183i | 0.926500 | − | 0.376296i | \(-0.122802\pi\) |
−0.741024 | + | 0.671479i | \(0.765659\pi\) | |||||||
\(888\) | 7.60987 | − | 12.1110i | 0.255370 | − | 0.406420i | ||||
\(889\) | 41.7152 | − | 35.2740i | 1.39908 | − | 1.18305i | ||||
\(890\) | 3.18952 | + | 9.22698i | 0.106913 | + | 0.309289i | ||||
\(891\) | −43.1856 | − | 20.7971i | −1.44677 | − | 0.696729i | ||||
\(892\) | 11.2445 | + | 7.06541i | 0.376495 | + | 0.236567i | ||||
\(893\) | 0.220567 | − | 0.630344i | 0.00738099 | − | 0.0210937i | ||||
\(894\) | −1.84492 | − | 2.31346i | −0.0617035 | − | 0.0773738i | ||||
\(895\) | 34.8378 | − | 7.81291i | 1.16450 | − | 0.261157i | ||||
\(896\) | −33.1570 | + | 0.952869i | −1.10770 | + | 0.0318331i | ||||
\(897\) | 25.2271 | + | 72.0950i | 0.842309 | + | 2.40718i | ||||
\(898\) | −48.7146 | − | 30.6094i | −1.62563 | − | 1.02145i | ||||
\(899\) | 0.0184756 | + | 0.0231676i | 0.000616195 | + | 0.000772684i | ||||
\(900\) | 2.68381 | + | 1.31757i | 0.0894604 | + | 0.0439190i | ||||
\(901\) | 25.9535i | 0.864637i | ||||||||
\(902\) | −46.0060 | − | 5.18363i | −1.53183 | − | 0.172596i | ||||
\(903\) | 25.7084 | + | 24.2720i | 0.855520 | + | 0.807722i | ||||
\(904\) | −10.1850 | − | 8.12223i | −0.338747 | − | 0.270141i | ||||
\(905\) | 0.275852 | − | 0.218282i | 0.00916963 | − | 0.00725594i | ||||
\(906\) | 8.56736 | − | 17.7903i | 0.284631 | − | 0.591043i | ||||
\(907\) | 2.55724 | + | 7.30818i | 0.0849118 | + | 0.242664i | 0.978508 | − | 0.206207i | \(-0.0661120\pi\) |
−0.893597 | + | 0.448871i | \(0.851826\pi\) | |||||||
\(908\) | −23.8209 | + | 2.68397i | −0.790523 | + | 0.0890706i | ||||
\(909\) | −5.89457 | + | 7.39155i | −0.195510 | + | 0.245162i | ||||
\(910\) | −17.4306 | + | 54.1069i | −0.577820 | + | 1.79363i | ||||
\(911\) | −21.8452 | − | 27.3930i | −0.723763 | − | 0.907571i | 0.274781 | − | 0.961507i | \(-0.411395\pi\) |
−0.998544 | + | 0.0539363i | \(0.982823\pi\) | |||||||
\(912\) | 17.4040 | + | 17.4040i | 0.576304 | + | 0.576304i | ||||
\(913\) | −28.1405 | − | 28.1405i | −0.931316 | − | 0.931316i | ||||
\(914\) | 26.1076 | − | 20.8201i | 0.863563 | − | 0.688669i | ||||
\(915\) | 27.6141 | − | 27.4059i | 0.912895 | − | 0.906012i | ||||
\(916\) | 1.94629 | − | 4.04150i | 0.0643071 | − | 0.133535i | ||||
\(917\) | 9.21086 | + | 5.42491i | 0.304169 | + | 0.179146i | ||||
\(918\) | −7.33645 | + | 20.9664i | −0.242139 | + | 0.691994i | ||||
\(919\) | 15.8309 | − | 12.6247i | 0.522214 | − | 0.416452i | −0.326585 | − | 0.945168i | \(-0.605898\pi\) |
0.848799 | + | 0.528716i | \(0.177326\pi\) | |||||||
\(920\) | −28.4440 | + | 6.37900i | −0.937769 | + | 0.210309i | ||||
\(921\) | 1.94298 | + | 8.51274i | 0.0640233 | + | 0.280504i | ||||
\(922\) | 37.8307 | − | 13.2375i | 1.24589 | − | 0.435955i | ||||
\(923\) | −50.5412 | + | 31.7571i | −1.66358 | + | 1.04530i | ||||
\(924\) | 19.6139 | + | 8.76063i | 0.645249 | + | 0.288204i | ||||
\(925\) | 17.4518 | − | 10.7823i | 0.573810 | − | 0.354520i | ||||
\(926\) | 11.7349 | − | 51.4141i | 0.385634 | − | 1.68957i | ||||
\(927\) | 0.120406 | + | 1.06863i | 0.00395466 | + | 0.0350986i | ||||
\(928\) | −14.6429 | − | 23.3041i | −0.480677 | − | 0.764993i | ||||
\(929\) | −25.2439 | + | 12.1568i | −0.828227 | + | 0.398853i | −0.799450 | − | 0.600733i | \(-0.794875\pi\) |
−0.0287768 | + | 0.999586i | \(0.509161\pi\) | |||||||
\(930\) | 0.00872288 | − | 0.0375616i | 0.000286034 | − | 0.00123169i | ||||
\(931\) | 1.03804 | + | 18.0454i | 0.0340202 | + | 0.591413i | ||||
\(932\) | −4.14015 | − | 4.14015i | −0.135615 | − | 0.135615i | ||||
\(933\) | 9.41591 | − | 26.9091i | 0.308263 | − | 0.880965i | ||||
\(934\) | 10.1140 | − | 44.3122i | 0.330939 | − | 1.44994i | ||||
\(935\) | 29.1798 | + | 3.39965i | 0.954282 | + | 0.111180i | ||||
\(936\) | −6.40376 | − | 1.46162i | −0.209313 | − | 0.0477744i | ||||
\(937\) | 41.5904 | + | 26.1330i | 1.35870 | + | 0.853727i | 0.996911 | − | 0.0785345i | \(-0.0250241\pi\) |
0.361787 | + | 0.932261i | \(0.382167\pi\) | |||||||
\(938\) | −11.0200 | + | 34.6562i | −0.359815 | + | 1.13157i | ||||
\(939\) | −17.2461 | − | 3.93631i | −0.562805 | − | 0.128456i | ||||
\(940\) | 0.536493 | − | 0.0583931i | 0.0174985 | − | 0.00190457i | ||||
\(941\) | −21.2675 | + | 4.85416i | −0.693300 | + | 0.158241i | −0.554629 | − | 0.832097i | \(-0.687140\pi\) |
−0.138670 | + | 0.990339i | \(0.544283\pi\) | |||||||
\(942\) | −41.7997 | − | 14.6264i | −1.36191 | − | 0.476552i | ||||
\(943\) | 4.73596 | − | 42.0328i | 0.154224 | − | 1.36878i | ||||
\(944\) | −40.5928 | + | 19.5484i | −1.32118 | + | 0.636248i | ||||
\(945\) | 23.6987 | − | 12.1500i | 0.770919 | − | 0.395239i | ||||
\(946\) | 49.2778 | + | 23.7309i | 1.60216 | + | 0.771559i | ||||
\(947\) | 8.63752 | − | 13.7465i | 0.280682 | − | 0.446702i | −0.676394 | − | 0.736540i | \(-0.736458\pi\) |
0.957076 | + | 0.289837i | \(0.0936012\pi\) | |||||||
\(948\) | 2.22188 | − | 19.7197i | 0.0721633 | − | 0.640467i | ||||
\(949\) | − | 17.9277i | − | 0.581957i | ||||||
\(950\) | 7.14490 | + | 20.9256i | 0.231811 | + | 0.678917i | ||||
\(951\) | 0.0290008 | − | 0.0231273i | 0.000940415 | − | 0.000749956i | ||||
\(952\) | −4.22052 | + | 13.2729i | −0.136788 | + | 0.430178i | ||||
\(953\) | 3.41856 | + | 30.3405i | 0.110738 | + | 0.982826i | 0.919069 | + | 0.394097i | \(0.128943\pi\) |
−0.808331 | + | 0.588729i | \(0.799629\pi\) | |||||||
\(954\) | −7.72887 | − | 6.16357i | −0.250231 | − | 0.199553i | ||||
\(955\) | −15.2191 | + | 18.9367i | −0.492478 | + | 0.612777i | ||||
\(956\) | 0.687326 | + | 0.330999i | 0.0222297 | + | 0.0107053i | ||||
\(957\) | −5.47018 | − | 48.5492i | −0.176826 | − | 1.56937i | ||||
\(958\) | 18.3252 | − | 2.06476i | 0.592061 | − | 0.0667092i | ||||
\(959\) | 8.34697 | − | 2.15918i | 0.269538 | − | 0.0697235i | ||||
\(960\) | 2.27430 | − | 6.42153i | 0.0734028 | − | 0.207254i | ||||
\(961\) | 31.0000 | 0.999999 | ||||||||
\(962\) | 27.8756 | − | 27.8756i | 0.898747 | − | 0.898747i | ||||
\(963\) | −0.625407 | − | 0.0704665i | −0.0201535 | − | 0.00227075i | ||||
\(964\) | −2.55816 | − | 11.2080i | −0.0823928 | − | 0.360986i | ||||
\(965\) | 3.52227 | + | 32.3612i | 0.113386 | + | 1.04174i | ||||
\(966\) | −25.1585 | + | 56.3265i | −0.809462 | + | 1.81227i | ||||
\(967\) | 8.80005 | + | 3.07927i | 0.282990 | + | 0.0990226i | 0.468042 | − | 0.883706i | \(-0.344960\pi\) |
−0.185052 | + | 0.982729i | \(0.559245\pi\) | |||||||
\(968\) | −17.7797 | − | 2.00329i | −0.571461 | − | 0.0643882i | ||||
\(969\) | 12.7898 | − | 6.15923i | 0.410866 | − | 0.197863i | ||||
\(970\) | −7.69532 | − | 0.0291209i | −0.247082 | − | 0.000935017i | ||||
\(971\) | −12.9931 | + | 26.9804i | −0.416967 | + | 0.865841i | 0.581659 | + | 0.813433i | \(0.302404\pi\) |
−0.998626 | + | 0.0524082i | \(0.983310\pi\) | |||||||
\(972\) | −3.25317 | − | 5.17739i | −0.104346 | − | 0.166065i | ||||
\(973\) | −41.6083 | + | 27.8427i | −1.33390 | + | 0.892598i | ||||
\(974\) | −25.1200 | + | 5.73347i | −0.804896 | + | 0.183712i | ||||
\(975\) | −41.5940 | − | 33.6882i | −1.33207 | − | 1.07889i | ||||
\(976\) | 35.6141 | + | 28.4013i | 1.13998 | + | 0.909103i | ||||
\(977\) | 7.05072 | − | 4.43026i | 0.225573 | − | 0.141737i | −0.414505 | − | 0.910047i | \(-0.636045\pi\) |
0.640077 | + | 0.768311i | \(0.278902\pi\) | |||||||
\(978\) | 65.1310 | + | 22.7903i | 2.08266 | + | 0.728754i | ||||
\(979\) | −11.6244 | −0.371518 | ||||||||
\(980\) | −12.8010 | + | 7.03442i | −0.408913 | + | 0.224706i | ||||
\(981\) | −6.02412 | −0.192335 | ||||||||
\(982\) | 33.4103 | + | 11.6908i | 1.06617 | + | 0.373067i | ||||
\(983\) | 33.4357 | − | 21.0090i | 1.06643 | − | 0.670084i | 0.119931 | − | 0.992782i | \(-0.461733\pi\) |
0.946502 | + | 0.322698i | \(0.104590\pi\) | |||||||
\(984\) | 16.1586 | + | 12.8860i | 0.515116 | + | 0.410791i | ||||
\(985\) | −15.4473 | − | 44.6876i | −0.492192 | − | 1.42387i | ||||
\(986\) | −27.0135 | + | 6.16565i | −0.860285 | + | 0.196354i | ||||
\(987\) | −0.662593 | + | 1.12501i | −0.0210906 | + | 0.0358094i | ||||
\(988\) | 7.19245 | + | 11.4467i | 0.228822 | + | 0.364169i | ||||
\(989\) | −21.6815 | + | 45.0220i | −0.689431 | + | 1.43162i | ||||
\(990\) | −7.94217 | + | 7.88229i | −0.252419 | + | 0.250516i | ||||
\(991\) | 43.5015 | − | 20.9492i | 1.38187 | − | 0.665474i | 0.412474 | − | 0.910970i | \(-0.364665\pi\) |
0.969398 | + | 0.245495i | \(0.0789506\pi\) | |||||||
\(992\) | 0.0257028 | + | 0.00289601i | 0.000816065 | + | 9.19484e-5i | ||||
\(993\) | 9.72486 | + | 3.40288i | 0.308609 | + | 0.107987i | ||||
\(994\) | −47.2892 | − | 9.37297i | −1.49992 | − | 0.297293i | ||||
\(995\) | 5.09059 | − | 6.33408i | 0.161383 | − | 0.200804i | ||||
\(996\) | −3.45798 | − | 15.1504i | −0.109570 | − | 0.480059i | ||||
\(997\) | 3.48641 | + | 0.392824i | 0.110416 | + | 0.0124409i | 0.166999 | − | 0.985957i | \(-0.446592\pi\) |
−0.0565837 | + | 0.998398i | \(0.518021\pi\) | |||||||
\(998\) | −15.1819 | + | 15.1819i | −0.480574 | + | 0.480574i | ||||
\(999\) | −18.4691 | −0.584336 |
(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 | 245.2.s.a.27.21 | ✓ | 312 | |
5.3 | odd | 4 | inner | 245.2.s.a.223.21 | yes | 312 | |
49.20 | odd | 14 | inner | 245.2.s.a.167.21 | yes | 312 | |
245.118 | even | 28 | inner | 245.2.s.a.118.21 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
245.2.s.a.27.21 | ✓ | 312 | 1.1 | even | 1 | trivial | |
245.2.s.a.118.21 | yes | 312 | 245.118 | even | 28 | inner | |
245.2.s.a.167.21 | yes | 312 | 49.20 | odd | 14 | inner | |
245.2.s.a.223.21 | yes | 312 | 5.3 | odd | 4 | inner |