Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(37,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 9, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bd (of order \(16\), degree \(8\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | no (minimal twist has level 64) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 109.6 | ||
Character | \(\chi\) | \(=\) | 576.109 |
Dual form | 576.2.bd.a.37.6 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{7}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.919278 | + | 1.07468i | 0.650028 | + | 0.759910i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.309855 | + | 1.97585i | −0.154928 | + | 0.987926i | ||||
\(5\) | −0.509835 | − | 2.56311i | −0.228005 | − | 1.14626i | −0.909906 | − | 0.414814i | \(-0.863846\pi\) |
0.681901 | − | 0.731445i | \(-0.261154\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.78664 | − | 4.31333i | −0.675287 | − | 1.63029i | −0.772494 | − | 0.635022i | \(-0.780991\pi\) |
0.0972076 | − | 0.995264i | \(-0.469009\pi\) | |||||||
\(8\) | −2.40824 | + | 1.48336i | −0.851442 | + | 0.524448i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.28583 | − | 2.90412i | 0.722844 | − | 0.918364i | ||||
\(11\) | 0.337256 | + | 0.225347i | 0.101686 | + | 0.0679447i | 0.605374 | − | 0.795941i | \(-0.293024\pi\) |
−0.503687 | + | 0.863886i | \(0.668024\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.558477 | − | 2.80765i | 0.154894 | − | 0.778703i | −0.822745 | − | 0.568411i | \(-0.807559\pi\) |
0.977639 | − | 0.210292i | \(-0.0674415\pi\) | |||||||
\(14\) | 2.99301 | − | 5.88521i | 0.799916 | − | 1.57289i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.80798 | − | 1.22446i | −0.951995 | − | 0.306114i | ||||
\(17\) | −2.50296 | − | 2.50296i | −0.607058 | − | 0.607058i | 0.335118 | − | 0.942176i | \(-0.391224\pi\) |
−0.942176 | + | 0.335118i | \(0.891224\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.54690 | − | 0.506609i | −0.584298 | − | 0.116224i | −0.105915 | − | 0.994375i | \(-0.533777\pi\) |
−0.478384 | + | 0.878151i | \(0.658777\pi\) | |||||||
\(20\) | 5.22231 | − | 0.213164i | 1.16774 | − | 0.0476650i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0678568 | + | 0.569597i | 0.0144671 | + | 0.121438i | ||||
\(23\) | 2.78551 | + | 1.15380i | 0.580820 | + | 0.240583i | 0.653696 | − | 0.756758i | \(-0.273218\pi\) |
−0.0728759 | + | 0.997341i | \(0.523218\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.69022 | + | 0.700112i | −0.338044 | + | 0.140022i | ||||
\(26\) | 3.53071 | − | 1.98083i | 0.692429 | − | 0.388473i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 9.07610 | − | 2.19363i | 1.71522 | − | 0.414557i | ||||
\(29\) | 4.40189 | − | 2.94125i | 0.817410 | − | 0.546176i | −0.0751143 | − | 0.997175i | \(-0.523932\pi\) |
0.892525 | + | 0.450999i | \(0.148932\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.289905i | 0.0520685i | 0.999661 | + | 0.0260343i | \(0.00828790\pi\) | ||||
−0.999661 | + | 0.0260343i | \(0.991712\pi\) | |||||||
\(32\) | −2.18470 | − | 5.21796i | −0.386204 | − | 0.922413i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.388954 | − | 4.99079i | 0.0667051 | − | 0.855914i | ||||
\(35\) | −10.1447 | + | 6.77845i | −1.71476 | + | 1.14577i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.93303 | − | 0.384503i | 0.317787 | − | 0.0632119i | −0.0336194 | − | 0.999435i | \(-0.510703\pi\) |
0.351407 | + | 0.936223i | \(0.385703\pi\) | |||||||
\(38\) | −1.79687 | − | 3.20280i | −0.291490 | − | 0.519563i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.02983 | + | 5.41633i | 0.795287 | + | 0.856397i | ||||
\(41\) | 5.97284 | + | 2.47403i | 0.932801 | + | 0.386379i | 0.796741 | − | 0.604321i | \(-0.206556\pi\) |
0.136061 | + | 0.990700i | \(0.456556\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.47301 | + | 5.19772i | −0.529628 | + | 0.792645i | −0.995752 | − | 0.0920747i | \(-0.970650\pi\) |
0.466124 | + | 0.884720i | \(0.345650\pi\) | |||||||
\(44\) | −0.549753 | + | 0.596542i | −0.0828783 | + | 0.0899321i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.32070 | + | 4.05418i | 0.194727 | + | 0.597757i | ||||
\(47\) | −0.140633 | − | 0.140633i | −0.0205135 | − | 0.0205135i | 0.696776 | − | 0.717289i | \(-0.254617\pi\) |
−0.717289 | + | 0.696776i | \(0.754617\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −10.4630 | + | 10.4630i | −1.49471 | + | 1.49471i | ||||
\(50\) | −2.30617 | − | 1.17284i | −0.326142 | − | 0.165865i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.37446 | + | 1.97343i | 0.745303 | + | 0.273666i | ||||
\(53\) | −0.438386 | − | 0.292920i | −0.0602169 | − | 0.0402356i | 0.525097 | − | 0.851042i | \(-0.324029\pi\) |
−0.585314 | + | 0.810806i | \(0.699029\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.405645 | − | 0.979314i | 0.0546972 | − | 0.132051i | ||||
\(56\) | 10.7009 | + | 7.73731i | 1.42997 | + | 1.03394i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 7.20745 | + | 2.02678i | 0.946384 | + | 0.266129i | ||||
\(59\) | 1.05758 | + | 5.31680i | 0.137685 | + | 0.692189i | 0.986534 | + | 0.163554i | \(0.0522958\pi\) |
−0.848850 | + | 0.528635i | \(0.822704\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.77369 | + | 7.14433i | 0.611209 | + | 0.914738i | 0.999978 | − | 0.00659665i | \(-0.00209980\pi\) |
−0.388770 | + | 0.921335i | \(0.627100\pi\) | |||||||
\(62\) | −0.311554 | + | 0.266504i | −0.0395674 | + | 0.0338460i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.59927 | − | 7.14460i | 0.449908 | − | 0.893075i | ||||
\(65\) | −7.48106 | −0.927912 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.53466 | + | 3.79339i | 0.309658 | + | 0.463436i | 0.953358 | − | 0.301842i | \(-0.0976014\pi\) |
−0.643700 | + | 0.765278i | \(0.722601\pi\) | |||||||
\(68\) | 5.72104 | − | 4.16993i | 0.693778 | − | 0.505678i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −16.6104 | − | 4.67094i | −1.98532 | − | 0.558285i | ||||
\(71\) | −5.35506 | − | 12.9282i | −0.635528 | − | 1.53430i | −0.832578 | − | 0.553907i | \(-0.813136\pi\) |
0.197050 | − | 0.980393i | \(-0.436864\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.89360 | − | 14.2284i | 0.689794 | − | 1.66531i | −0.0554020 | − | 0.998464i | \(-0.517644\pi\) |
0.745196 | − | 0.666846i | \(-0.232356\pi\) | |||||||
\(74\) | 2.19020 | + | 1.72391i | 0.254606 | + | 0.200401i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.79015 | − | 4.87532i | 0.205345 | − | 0.559237i | ||||
\(77\) | 0.369442 | − | 1.85731i | 0.0421018 | − | 0.211660i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.17941 | + | 4.17941i | −0.470220 | + | 0.470220i | −0.901986 | − | 0.431765i | \(-0.857891\pi\) |
0.431765 | + | 0.901986i | \(0.357891\pi\) | |||||||
\(80\) | −1.19698 | + | 10.3846i | −0.133826 | + | 1.16103i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.83192 | + | 8.69319i | 0.312733 | + | 0.960003i | ||||
\(83\) | −7.83362 | − | 1.55820i | −0.859851 | − | 0.171035i | −0.254578 | − | 0.967052i | \(-0.581936\pi\) |
−0.605274 | + | 0.796017i | \(0.706936\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.13928 | + | 7.69148i | −0.557433 | + | 0.834258i | ||||
\(86\) | −8.77852 | + | 1.04580i | −0.946612 | + | 0.112771i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.14646 | − | 0.0424176i | −0.122214 | − | 0.00452173i | ||||
\(89\) | 6.46701 | − | 2.67872i | 0.685501 | − | 0.283944i | −0.0126231 | − | 0.999920i | \(-0.504018\pi\) |
0.698125 | + | 0.715976i | \(0.254018\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −13.1081 | + | 2.60737i | −1.37411 | + | 0.273327i | ||||
\(92\) | −3.14284 | + | 5.14625i | −0.327664 | + | 0.536534i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0218540 | − | 0.280416i | 0.00225407 | − | 0.0289227i | ||||
\(95\) | 6.78627i | 0.696257i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 16.2429i | − | 1.64922i | −0.565702 | − | 0.824610i | \(-0.691395\pi\) | ||
0.565702 | − | 0.824610i | \(-0.308605\pi\) | |||||||
\(98\) | −20.8627 | − | 1.62592i | −2.10745 | − | 0.164243i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.859594 | − | 3.55656i | −0.0859594 | − | 0.355656i | ||||
\(101\) | 15.3251 | − | 3.04834i | 1.52490 | − | 0.303321i | 0.639734 | − | 0.768597i | \(-0.279045\pi\) |
0.885166 | + | 0.465275i | \(0.154045\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.43693 | − | 0.595196i | 0.141585 | − | 0.0586464i | −0.310766 | − | 0.950486i | \(-0.600586\pi\) |
0.452351 | + | 0.891840i | \(0.350586\pi\) | |||||||
\(104\) | 2.81982 | + | 7.58993i | 0.276506 | + | 0.744254i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.0882045 | − | 0.740397i | −0.00856718 | − | 0.0719137i | ||||
\(107\) | 2.12845 | − | 3.18545i | 0.205765 | − | 0.307949i | −0.714206 | − | 0.699936i | \(-0.753212\pi\) |
0.919971 | + | 0.391986i | \(0.128212\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.80639 | − | 0.558226i | −0.268803 | − | 0.0534683i | 0.0588482 | − | 0.998267i | \(-0.481257\pi\) |
−0.327652 | + | 0.944799i | \(0.606257\pi\) | |||||||
\(110\) | 1.42535 | − | 0.464325i | 0.135901 | − | 0.0442716i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.52201 | + | 18.6127i | 0.143816 | + | 1.75874i | ||||
\(113\) | −8.29968 | + | 8.29968i | −0.780769 | + | 0.780769i | −0.979960 | − | 0.199192i | \(-0.936168\pi\) |
0.199192 | + | 0.979960i | \(0.436168\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.53716 | − | 7.72783i | 0.143341 | − | 0.720624i | ||||
\(116\) | 4.44752 | + | 9.60884i | 0.412942 | + | 0.892158i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.74163 | + | 6.02417i | −0.436502 | + | 0.554570i | ||||
\(119\) | −6.32421 | + | 15.2680i | −0.579740 | + | 1.39962i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.14656 | − | 10.0107i | −0.376960 | − | 0.910061i | ||||
\(122\) | −3.28949 | + | 11.6978i | −0.297817 | + | 1.05907i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.572810 | − | 0.0898286i | −0.0514398 | − | 0.00806685i | ||||
\(125\) | −4.60324 | − | 6.88923i | −0.411726 | − | 0.616191i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.21464 | −0.640196 | −0.320098 | − | 0.947384i | \(-0.603716\pi\) | ||||
−0.320098 | + | 0.947384i | \(0.603716\pi\) | |||||||
\(128\) | 10.9869 | − | 2.69983i | 0.971110 | − | 0.238634i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.87718 | − | 8.03971i | −0.603168 | − | 0.705130i | ||||
\(131\) | 6.24500 | + | 9.34631i | 0.545628 | + | 0.816591i | 0.997132 | − | 0.0756785i | \(-0.0241123\pi\) |
−0.451504 | + | 0.892269i | \(0.649112\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.36522 | + | 11.8907i | 0.205090 | + | 1.03106i | ||||
\(134\) | −1.74660 | + | 6.21112i | −0.150884 | + | 0.536559i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.74055 | + | 2.31494i | 0.835245 | + | 0.198504i | ||||
\(137\) | 4.59287 | − | 11.0882i | 0.392395 | − | 0.947326i | −0.597022 | − | 0.802225i | \(-0.703649\pi\) |
0.989417 | − | 0.145101i | \(-0.0463506\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.1247 | + | 8.76967i | 1.11323 | + | 0.743834i | 0.969331 | − | 0.245759i | \(-0.0790372\pi\) |
0.143895 | + | 0.989593i | \(0.454037\pi\) | |||||||
\(140\) | −10.2498 | − | 22.1447i | −0.866269 | − | 1.87157i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.97089 | − | 17.6396i | 0.752820 | − | 1.48028i | ||||
\(143\) | 0.821045 | − | 0.821045i | 0.0686593 | − | 0.0686593i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.78299 | − | 9.78299i | −0.812433 | − | 0.812433i | ||||
\(146\) | 20.7088 | − | 6.74616i | 1.71387 | − | 0.558316i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.160762 | + | 3.93851i | 0.0132146 | + | 0.323744i | ||||
\(149\) | −10.8556 | + | 16.2465i | −0.889324 | + | 1.33097i | 0.0538088 | + | 0.998551i | \(0.482864\pi\) |
−0.943133 | + | 0.332416i | \(0.892136\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.4999 | + | 5.17764i | 1.01723 | + | 0.421351i | 0.828087 | − | 0.560599i | \(-0.189429\pi\) |
0.189143 | + | 0.981950i | \(0.439429\pi\) | |||||||
\(152\) | 6.88503 | − | 2.55794i | 0.558450 | − | 0.207476i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.33562 | − | 1.31035i | 0.188210 | − | 0.105591i | ||||
\(155\) | 0.743060 | − | 0.147804i | 0.0596840 | − | 0.0118719i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.26557 | − | 5.52287i | 0.659664 | − | 0.440773i | −0.180156 | − | 0.983638i | \(-0.557660\pi\) |
0.839820 | + | 0.542865i | \(0.182660\pi\) | |||||||
\(158\) | −8.33355 | − | 0.649469i | −0.662982 | − | 0.0516690i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −12.2604 | + | 8.25993i | −0.969268 | + | 0.653005i | ||||
\(161\) | − | 14.0763i | − | 1.10936i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.9295 | + | 11.3119i | −1.32602 | + | 0.886017i | −0.998273 | − | 0.0587489i | \(-0.981289\pi\) |
−0.327746 | + | 0.944766i | \(0.606289\pi\) | |||||||
\(164\) | −6.73904 | + | 11.0349i | −0.526231 | + | 0.861678i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.52671 | − | 9.85102i | −0.428956 | − | 0.764588i | ||||
\(167\) | 6.10786 | − | 2.52996i | 0.472640 | − | 0.195774i | −0.133632 | − | 0.991031i | \(-0.542664\pi\) |
0.606272 | + | 0.795257i | \(0.292664\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.43942 | + | 1.83887i | 0.341494 | + | 0.141451i | ||||
\(170\) | −12.9903 | + | 1.54755i | −0.996308 | + | 0.118691i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −9.19379 | − | 8.47268i | −0.701020 | − | 0.646036i | ||||
\(173\) | 2.36420 | + | 0.470269i | 0.179747 | + | 0.0357539i | 0.284143 | − | 0.958782i | \(-0.408291\pi\) |
−0.104396 | + | 0.994536i | \(0.533291\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.03963 | + | 6.03963i | 0.456553 | + | 0.456553i | ||||
\(176\) | −1.00833 | − | 1.27107i | −0.0760061 | − | 0.0958106i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.82374 | + | 4.48744i | 0.661367 | + | 0.336348i | ||||
\(179\) | −2.21659 | + | 11.1436i | −0.165676 | + | 0.832910i | 0.805140 | + | 0.593085i | \(0.202090\pi\) |
−0.970816 | + | 0.239825i | \(0.922910\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 16.6040 | + | 11.0944i | 1.23417 | + | 0.824644i | 0.989439 | − | 0.144948i | \(-0.0463016\pi\) |
0.244727 | + | 0.969592i | \(0.421302\pi\) | |||||||
\(182\) | −14.8521 | − | 11.6901i | −1.10091 | − | 0.866527i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −8.41969 | + | 1.35330i | −0.620708 | + | 0.0997669i | ||||
\(185\) | −1.97105 | − | 4.75853i | −0.144914 | − | 0.349854i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.280103 | − | 1.40817i | −0.0204832 | − | 0.102976i | ||||
\(188\) | 0.321446 | − | 0.234294i | 0.0234439 | − | 0.0170877i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.29304 | + | 6.23847i | −0.529093 | + | 0.452586i | ||||
\(191\) | −6.26580 | −0.453378 | −0.226689 | − | 0.973967i | \(-0.572790\pi\) | ||||
−0.226689 | + | 0.973967i | \(0.572790\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.7005 | 0.770241 | 0.385120 | − | 0.922866i | \(-0.374160\pi\) | ||||
0.385120 | + | 0.922866i | \(0.374160\pi\) | |||||||
\(194\) | 17.4559 | − | 14.9318i | 1.25326 | − | 1.07204i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −17.4313 | − | 23.9153i | −1.24509 | − | 1.70824i | ||||
\(197\) | 0.0517041 | + | 0.259934i | 0.00368377 | + | 0.0185195i | 0.982583 | − | 0.185822i | \(-0.0594947\pi\) |
−0.978900 | + | 0.204341i | \(0.934495\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.892313 | + | 2.15423i | 0.0632544 | + | 0.152710i | 0.952346 | − | 0.305019i | \(-0.0986630\pi\) |
−0.889092 | + | 0.457729i | \(0.848663\pi\) | |||||||
\(200\) | 3.03194 | − | 4.19325i | 0.214390 | − | 0.296507i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 17.3640 | + | 13.6672i | 1.22172 | + | 0.961620i | ||||
\(203\) | −20.5512 | − | 13.7319i | −1.44241 | − | 0.963787i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.29606 | − | 16.5704i | 0.230207 | − | 1.15733i | ||||
\(206\) | 1.96058 | + | 0.997083i | 0.136600 | + | 0.0694701i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.56451 | + | 10.0077i | −0.385830 | + | 0.693906i | ||||
\(209\) | −0.744792 | − | 0.744792i | −0.0515184 | − | 0.0515184i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.1481 | + | 2.61531i | 0.905149 | + | 0.180045i | 0.625653 | − | 0.780101i | \(-0.284833\pi\) |
0.279496 | + | 0.960147i | \(0.409833\pi\) | |||||||
\(212\) | 0.714602 | − | 0.775422i | 0.0490791 | − | 0.0532562i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.37996 | − | 0.640922i | 0.367767 | − | 0.0438125i | ||||
\(215\) | 15.0930 | + | 6.25173i | 1.02933 | + | 0.426364i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.25046 | − | 0.517956i | 0.0848866 | − | 0.0351612i | ||||
\(218\) | −1.97994 | − | 3.52912i | −0.134099 | − | 0.239022i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.80929 | + | 1.10494i | 0.121982 | + | 0.0744950i | ||||
\(221\) | −8.42530 | + | 5.62960i | −0.566747 | + | 0.378688i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 26.8359i | − | 1.79706i | −0.438907 | − | 0.898532i | \(-0.644634\pi\) | ||
0.438907 | − | 0.898532i | \(-0.355366\pi\) | |||||||
\(224\) | −18.6035 | + | 18.7459i | −1.24300 | + | 1.25252i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −16.5492 | − | 1.28975i | −1.10084 | − | 0.0857928i | ||||
\(227\) | 1.92112 | − | 1.28365i | 0.127509 | − | 0.0851989i | −0.490180 | − | 0.871621i | \(-0.663069\pi\) |
0.617689 | + | 0.786422i | \(0.288069\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.00910 | + | 1.79202i | −0.595338 | + | 0.118420i | −0.483557 | − | 0.875313i | \(-0.660656\pi\) |
−0.111781 | + | 0.993733i | \(0.535656\pi\) | |||||||
\(230\) | 9.71799 | − | 5.45208i | 0.640785 | − | 0.359499i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.23788 | + | 13.6128i | −0.409537 | + | 0.893727i | ||||
\(233\) | 16.3550 | + | 6.77448i | 1.07145 | + | 0.443811i | 0.847504 | − | 0.530789i | \(-0.178104\pi\) |
0.223951 | + | 0.974600i | \(0.428104\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.288759 | + | 0.432158i | −0.0188366 | + | 0.0281909i | ||||
\(236\) | −10.8329 | + | 0.442178i | −0.705162 | + | 0.0287833i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −22.2219 | + | 7.23906i | −1.44043 | + | 0.469239i | ||||
\(239\) | 2.35012 | + | 2.35012i | 0.152017 | + | 0.152017i | 0.779018 | − | 0.627001i | \(-0.215718\pi\) |
−0.627001 | + | 0.779018i | \(0.715718\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.40368 | + | 8.40368i | −0.541329 | + | 0.541329i | −0.923918 | − | 0.382590i | \(-0.875032\pi\) |
0.382590 | + | 0.923918i | \(0.375032\pi\) | |||||||
\(242\) | 6.94639 | − | 13.6588i | 0.446531 | − | 0.878021i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −15.5953 | + | 7.21840i | −0.998387 | + | 0.462111i | ||||
\(245\) | 32.1522 | + | 21.4834i | 2.05413 | + | 1.37253i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.84477 | + | 6.86787i | −0.181008 | + | 0.436992i | ||||
\(248\) | −0.430035 | − | 0.698162i | −0.0273072 | − | 0.0443333i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.17203 | − | 11.2801i | 0.200617 | − | 0.713416i | ||||
\(251\) | −2.69294 | − | 13.5383i | −0.169977 | − | 0.854531i | −0.967816 | − | 0.251660i | \(-0.919023\pi\) |
0.797839 | − | 0.602871i | \(-0.205977\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.679425 | + | 1.01683i | 0.0427151 | + | 0.0639276i | ||||
\(254\) | −6.63226 | − | 7.75340i | −0.416145 | − | 0.486492i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.0014 | + | 9.32541i | 0.812588 | + | 0.582838i | ||||
\(257\) | 8.71882 | 0.543865 | 0.271933 | − | 0.962316i | \(-0.412337\pi\) | ||||
0.271933 | + | 0.962316i | \(0.412337\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.11211 | − | 7.65081i | −0.317651 | − | 0.475398i | ||||
\(260\) | 2.31805 | − | 14.7815i | 0.143759 | − | 0.916708i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.30335 | + | 15.3032i | −0.265862 | + | 0.945435i | ||||
\(263\) | 2.14234 | + | 5.17205i | 0.132102 | + | 0.318923i | 0.976065 | − | 0.217479i | \(-0.0697833\pi\) |
−0.843963 | + | 0.536401i | \(0.819783\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.527283 | + | 1.27297i | −0.0323907 | + | 0.0781981i | ||||
\(266\) | −10.6044 | + | 13.4727i | −0.650197 | + | 0.826067i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −8.28056 | + | 3.83272i | −0.505815 | + | 0.234120i | ||||
\(269\) | 0.259937 | − | 1.30679i | 0.0158487 | − | 0.0796766i | −0.972052 | − | 0.234768i | \(-0.924567\pi\) |
0.987900 | + | 0.155091i | \(0.0495671\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 21.0223 | − | 21.0223i | 1.27701 | − | 1.27701i | 0.334682 | − | 0.942331i | \(-0.391371\pi\) |
0.942331 | − | 0.334682i | \(-0.108629\pi\) | |||||||
\(272\) | 6.46646 | + | 12.5960i | 0.392087 | + | 0.763745i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 16.1383 | − | 5.25726i | 0.974950 | − | 0.317603i | ||||
\(275\) | −0.727804 | − | 0.144769i | −0.0438882 | − | 0.00872991i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.36491 | − | 11.0224i | 0.442515 | − | 0.662270i | −0.541430 | − | 0.840746i | \(-0.682117\pi\) |
0.983944 | + | 0.178476i | \(0.0571167\pi\) | |||||||
\(278\) | 2.64074 | + | 22.1666i | 0.158381 | + | 1.32946i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 14.3759 | − | 31.3724i | 0.859125 | − | 1.87486i | ||||
\(281\) | −16.4892 | + | 6.83006i | −0.983664 | + | 0.407447i | −0.815782 | − | 0.578360i | \(-0.803693\pi\) |
−0.167883 | + | 0.985807i | \(0.553693\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.71735 | − | 1.13725i | 0.339861 | − | 0.0676026i | −0.0222092 | − | 0.999753i | \(-0.507070\pi\) |
0.362070 | + | 0.932151i | \(0.382070\pi\) | |||||||
\(284\) | 27.2036 | − | 6.57491i | 1.61424 | − | 0.390149i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.63713 | + | 0.127588i | 0.0968053 | + | 0.00754445i | ||||
\(287\) | − | 30.1831i | − | 1.78165i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 4.47035i | − | 0.262962i | ||||||
\(290\) | 1.52025 | − | 19.5068i | 0.0892722 | − | 1.14548i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 26.2871 | + | 16.0536i | 1.53833 | + | 0.939468i | ||||
\(293\) | 0.815583 | − | 0.162230i | 0.0476469 | − | 0.00947755i | −0.171209 | − | 0.985235i | \(-0.554767\pi\) |
0.218856 | + | 0.975757i | \(0.429767\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.0884 | − | 5.42138i | 0.762035 | − | 0.315645i | ||||
\(296\) | −4.08484 | + | 3.79336i | −0.237426 | + | 0.220484i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −27.4390 | + | 3.26885i | −1.58950 | + | 0.189359i | ||||
\(299\) | 4.79511 | − | 7.17638i | 0.277308 | − | 0.415021i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 28.6245 | + | 5.69377i | 1.64989 | + | 0.328183i | ||||
\(302\) | 5.92663 | + | 18.1931i | 0.341039 | + | 1.04689i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 9.07821 | + | 5.04772i | 0.520671 | + | 0.289507i | ||||
\(305\) | 15.8779 | − | 15.8779i | 0.909168 | − | 0.909168i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.18896 | + | 5.97730i | −0.0678574 | + | 0.341142i | −0.999768 | − | 0.0215462i | \(-0.993141\pi\) |
0.931910 | + | 0.362688i | \(0.118141\pi\) | |||||||
\(308\) | 3.55529 | + | 1.30546i | 0.202582 | + | 0.0743854i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.841920 | + | 0.662675i | 0.0478178 | + | 0.0376374i | ||||
\(311\) | −0.557543 | + | 1.34603i | −0.0316154 | + | 0.0763262i | −0.938899 | − | 0.344194i | \(-0.888152\pi\) |
0.907283 | + | 0.420520i | \(0.138152\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.66243 | + | 16.0845i | 0.376583 | + | 0.909151i | 0.992601 | + | 0.121419i | \(0.0387446\pi\) |
−0.616019 | + | 0.787732i | \(0.711255\pi\) | |||||||
\(314\) | 13.5337 | + | 3.80574i | 0.763748 | + | 0.214771i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.96288 | − | 9.55291i | −0.391693 | − | 0.537393i | ||||
\(317\) | 0.843312 | + | 1.26210i | 0.0473651 | + | 0.0708869i | 0.854396 | − | 0.519622i | \(-0.173927\pi\) |
−0.807031 | + | 0.590509i | \(0.798927\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.14736 | 0.120229 | ||||||||
\(320\) | −20.1474 | − | 5.58276i | −1.12628 | − | 0.312086i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 15.1274 | − | 12.9400i | 0.843018 | − | 0.721118i | ||||
\(323\) | 5.10677 | + | 7.64282i | 0.284148 | + | 0.425258i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.02172 | + | 5.13654i | 0.0566749 | + | 0.284924i | ||||
\(326\) | −27.7195 | − | 7.79490i | −1.53524 | − | 0.431719i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −18.0539 | + | 2.90183i | −0.996862 | + | 0.160227i | ||||
\(329\) | −0.355337 | + | 0.857858i | −0.0195903 | + | 0.0472953i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −27.1506 | − | 18.1415i | −1.49233 | − | 0.997145i | −0.991286 | − | 0.131726i | \(-0.957948\pi\) |
−0.501047 | − | 0.865420i | \(-0.667052\pi\) | |||||||
\(332\) | 5.50607 | − | 14.9953i | 0.302185 | − | 0.822971i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 8.33370 | + | 4.23823i | 0.456000 | + | 0.231906i | ||||
\(335\) | 8.43063 | − | 8.43063i | 0.460615 | − | 0.460615i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.9423 | + | 16.9423i | 0.922905 | + | 0.922905i | 0.997234 | − | 0.0743291i | \(-0.0236815\pi\) |
−0.0743291 | + | 0.997234i | \(0.523682\pi\) | |||||||
\(338\) | 2.10487 | + | 6.46136i | 0.114490 | + | 0.351452i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −13.6048 | − | 12.5377i | −0.737823 | − | 0.679952i | ||||
\(341\) | −0.0653293 | + | 0.0977721i | −0.00353778 | + | 0.00529466i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 33.6307 | + | 13.9303i | 1.81588 | + | 0.752164i | ||||
\(344\) | 0.653732 | − | 17.6691i | 0.0352469 | − | 0.952654i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.66797 | + | 2.97306i | 0.0896707 | + | 0.159832i | ||||
\(347\) | 18.8803 | − | 3.75552i | 1.01355 | − | 0.201607i | 0.339744 | − | 0.940518i | \(-0.389660\pi\) |
0.673803 | + | 0.738911i | \(0.264660\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −19.9458 | + | 13.3274i | −1.06768 | + | 0.713398i | −0.959777 | − | 0.280764i | \(-0.909412\pi\) |
−0.107899 | + | 0.994162i | \(0.534412\pi\) | |||||||
\(350\) | −0.938542 | + | 12.0427i | −0.0501672 | + | 0.643711i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.439049 | − | 2.25210i | 0.0234014 | − | 0.120037i | ||||
\(353\) | 5.30693i | 0.282459i | 0.989977 | + | 0.141230i | \(0.0451056\pi\) | ||||
−0.989977 | + | 0.141230i | \(0.954894\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −30.4064 | + | 20.3169i | −1.61380 | + | 1.07831i | ||||
\(356\) | 3.28892 | + | 13.6079i | 0.174312 | + | 0.721215i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −14.0134 | + | 7.86192i | −0.740631 | + | 0.415516i | ||||
\(359\) | 29.2567 | − | 12.1185i | 1.54411 | − | 0.639591i | 0.561871 | − | 0.827225i | \(-0.310082\pi\) |
0.982239 | + | 0.187634i | \(0.0600819\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.3237 | − | 4.69042i | −0.595983 | − | 0.246864i | ||||
\(362\) | 3.34078 | + | 28.0428i | 0.175587 | + | 1.47390i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.09015 | − | 26.7076i | −0.0571395 | − | 1.39986i | ||||
\(365\) | −39.4738 | − | 7.85183i | −2.06615 | − | 0.410983i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.7708 | − | 10.7708i | −0.562232 | − | 0.562232i | 0.367709 | − | 0.929941i | \(-0.380142\pi\) |
−0.929941 | + | 0.367709i | \(0.880142\pi\) | |||||||
\(368\) | −9.19440 | − | 7.80437i | −0.479291 | − | 0.406831i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.30194 | − | 6.49265i | 0.171659 | − | 0.337537i | ||||
\(371\) | −0.480223 | + | 2.41425i | −0.0249319 | + | 0.125341i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.80692 | − | 5.21641i | −0.404227 | − | 0.270096i | 0.336793 | − | 0.941579i | \(-0.390658\pi\) |
−0.741020 | + | 0.671483i | \(0.765658\pi\) | |||||||
\(374\) | 1.25584 | − | 1.59552i | 0.0649378 | − | 0.0825025i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.547289 | + | 0.130069i | 0.0282243 | + | 0.00670778i | ||||
\(377\) | −5.79965 | − | 14.0016i | −0.298697 | − | 0.721119i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.74905 | + | 13.8204i | 0.141209 | + | 0.709906i | 0.984907 | + | 0.173087i | \(0.0553742\pi\) |
−0.843697 | + | 0.536819i | \(0.819626\pi\) | |||||||
\(380\) | −13.4087 | − | 2.10276i | −0.687850 | − | 0.107869i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.76002 | − | 6.73371i | −0.294708 | − | 0.344526i | ||||
\(383\) | −15.8956 | −0.812226 | −0.406113 | − | 0.913823i | \(-0.633116\pi\) | ||||
−0.406113 | + | 0.913823i | \(0.633116\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.94885 | −0.252217 | ||||||||
\(386\) | 9.83676 | + | 11.4996i | 0.500678 | + | 0.585314i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 32.0936 | + | 5.03296i | 1.62931 | + | 0.255510i | ||||
\(389\) | 2.40830 | + | 12.1074i | 0.122106 | + | 0.613867i | 0.992574 | + | 0.121643i | \(0.0388162\pi\) |
−0.870468 | + | 0.492225i | \(0.836184\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.08412 | − | 9.85995i | −0.206543 | − | 0.498639i | ||||
\(392\) | 9.67701 | − | 40.7179i | 0.488763 | − | 2.05656i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.231814 | + | 0.294517i | −0.0116786 | + | 0.0148375i | ||||
\(395\) | 12.8431 | + | 8.58149i | 0.646207 | + | 0.431782i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.557626 | + | 2.80338i | −0.0279864 | + | 0.140697i | −0.992252 | − | 0.124239i | \(-0.960351\pi\) |
0.964266 | + | 0.264937i | \(0.0853510\pi\) | |||||||
\(398\) | −1.49482 | + | 2.93929i | −0.0749285 | + | 0.147333i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.29358 | − | 0.596412i | 0.364679 | − | 0.0298206i | ||||
\(401\) | −12.5125 | − | 12.5125i | −0.624843 | − | 0.624843i | 0.321923 | − | 0.946766i | \(-0.395671\pi\) |
−0.946766 | + | 0.321923i | \(0.895671\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.813953 | + | 0.161905i | 0.0405459 | + | 0.00806508i | ||||
\(404\) | 1.27453 | + | 31.2246i | 0.0634100 | + | 1.55348i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.13496 | − | 34.7092i | −0.205214 | − | 1.72259i | ||||
\(407\) | 0.738570 | + | 0.305926i | 0.0366096 | + | 0.0151642i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.49266 | + | 3.93199i | −0.469382 | + | 0.194424i | −0.604821 | − | 0.796361i | \(-0.706755\pi\) |
0.135439 | + | 0.990786i | \(0.456755\pi\) | |||||||
\(410\) | 20.8378 | − | 11.6906i | 1.02911 | − | 0.577359i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.730779 | + | 3.02359i | 0.0360029 | + | 0.148961i | ||||
\(413\) | 21.0436 | − | 14.0609i | 1.03549 | − | 0.691891i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.8729i | 1.02461i | ||||||||
\(416\) | −15.8703 | + | 3.21977i | −0.778106 | + | 0.157862i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.115739 | − | 1.48508i | 0.00566097 | − | 0.0726377i | ||||
\(419\) | −7.10316 | + | 4.74618i | −0.347012 | + | 0.231866i | −0.716846 | − | 0.697232i | \(-0.754415\pi\) |
0.369834 | + | 0.929098i | \(0.379415\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.75098 | + | 1.14394i | −0.280286 | + | 0.0557523i | −0.333231 | − | 0.942845i | \(-0.608139\pi\) |
0.0529457 | + | 0.998597i | \(0.483139\pi\) | |||||||
\(422\) | 9.27611 | + | 16.5341i | 0.451554 | + | 0.804867i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.49025 | + | 0.0551370i | 0.0723727 | + | 0.00267769i | ||||
\(425\) | 5.98291 | + | 2.47820i | 0.290214 | + | 0.120210i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 22.2870 | − | 33.3549i | 1.07854 | − | 1.61416i | ||||
\(428\) | 5.63447 | + | 5.19253i | 0.272352 | + | 0.250990i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.15609 | + | 21.9672i | 0.345097 | + | 1.05935i | ||||
\(431\) | −26.6006 | − | 26.6006i | −1.28131 | − | 1.28131i | −0.939924 | − | 0.341384i | \(-0.889104\pi\) |
−0.341384 | − | 0.939924i | \(-0.610896\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.87012 | − | 1.87012i | 0.0898724 | − | 0.0898724i | −0.660741 | − | 0.750614i | \(-0.729758\pi\) |
0.750614 | + | 0.660741i | \(0.229758\pi\) | |||||||
\(434\) | 1.70615 | + | 0.867690i | 0.0818980 | + | 0.0416504i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.97255 | − | 5.37204i | 0.0944678 | − | 0.257274i | ||||
\(437\) | −6.50989 | − | 4.34977i | −0.311410 | − | 0.208078i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.81047 | − | 9.19929i | 0.181864 | − | 0.439058i | −0.806487 | − | 0.591252i | \(-0.798634\pi\) |
0.988351 | + | 0.152194i | \(0.0486338\pi\) | |||||||
\(440\) | 0.475787 | + | 2.96014i | 0.0226822 | + | 0.141119i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −13.7952 | − | 3.87929i | −0.656170 | − | 0.184519i | ||||
\(443\) | 2.30288 | + | 11.5774i | 0.109413 | + | 0.550057i | 0.996141 | + | 0.0877657i | \(0.0279727\pi\) |
−0.886728 | + | 0.462292i | \(0.847027\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −10.1630 | − | 15.2100i | −0.481771 | − | 0.721021i | ||||
\(446\) | 28.8399 | − | 24.6697i | 1.36561 | − | 1.16814i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −37.2476 | − | 2.76000i | −1.75978 | − | 0.130398i | ||||
\(449\) | −34.7985 | −1.64224 | −0.821122 | − | 0.570753i | \(-0.806651\pi\) | ||||
−0.821122 | + | 0.570753i | \(0.806651\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.45686 | + | 2.18034i | 0.0686008 | + | 0.102668i | ||||
\(452\) | −13.8272 | − | 18.9706i | −0.650379 | − | 0.892304i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.14555 | + | 0.884548i | 0.147628 | + | 0.0415139i | ||||
\(455\) | 13.3660 | + | 32.2683i | 0.626606 | + | 1.51276i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.80367 | + | 23.6682i | −0.458596 | + | 1.10715i | 0.510369 | + | 0.859955i | \(0.329509\pi\) |
−0.968966 | + | 0.247195i | \(0.920491\pi\) | |||||||
\(458\) | −10.2077 | − | 8.03450i | −0.476975 | − | 0.375427i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.7927 | + | 5.43171i | 0.689716 | + | 0.253255i | ||||
\(461\) | 7.22385 | − | 36.3168i | 0.336448 | − | 1.69144i | −0.328463 | − | 0.944517i | \(-0.606530\pi\) |
0.664911 | − | 0.746923i | \(-0.268470\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.4267 | − | 20.4267i | 0.949309 | − | 0.949309i | −0.0494671 | − | 0.998776i | \(-0.515752\pi\) |
0.998776 | + | 0.0494671i | \(0.0157523\pi\) | |||||||
\(464\) | −20.3637 | + | 5.81029i | −0.945362 | + | 0.269736i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.75447 | + | 23.8040i | 0.359219 | + | 1.10270i | ||||
\(467\) | 13.6740 | + | 2.71993i | 0.632758 | + | 0.125863i | 0.501041 | − | 0.865424i | \(-0.332951\pi\) |
0.131718 | + | 0.991287i | \(0.457951\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.8336 | − | 17.7103i | 0.546426 | − | 0.817784i | ||||
\(470\) | −0.729880 | + | 0.0869515i | −0.0336669 | + | 0.00401078i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −10.4337 | − | 11.2354i | −0.480248 | − | 0.517150i | ||||
\(473\) | −2.34258 | + | 0.970329i | −0.107712 | + | 0.0446158i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.65950 | − | 0.926832i | 0.213792 | − | 0.0425260i | ||||
\(476\) | −28.2077 | − | 17.2266i | −1.29290 | − | 0.789579i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.365203 | + | 4.68603i | −0.0167040 | + | 0.214334i | ||||
\(479\) | 12.6579i | 0.578354i | 0.957276 | + | 0.289177i | \(0.0933816\pi\) | ||||
−0.957276 | + | 0.289177i | \(0.906618\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 5.64200i | − | 0.257253i | ||||||
\(482\) | −16.7566 | − | 1.30591i | −0.763240 | − | 0.0594826i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 21.0644 | − | 5.09112i | 0.957475 | − | 0.231415i | ||||
\(485\) | −41.6325 | + | 8.28121i | −1.89043 | + | 0.376030i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11.3843 | − | 4.71555i | 0.515874 | − | 0.213682i | −0.109529 | − | 0.993984i | \(-0.534934\pi\) |
0.625404 | + | 0.780302i | \(0.284934\pi\) | |||||||
\(488\) | −22.0939 | − | 10.1242i | −1.00014 | − | 0.458300i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.46912 | + | 54.3025i | 0.292245 | + | 2.45314i | ||||
\(491\) | 17.7122 | − | 26.5081i | 0.799339 | − | 1.19629i | −0.177878 | − | 0.984052i | \(-0.556923\pi\) |
0.977217 | − | 0.212242i | \(-0.0680767\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −18.3796 | − | 3.65593i | −0.827776 | − | 0.164655i | ||||
\(494\) | −9.99587 | + | 3.25629i | −0.449735 | + | 0.146507i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.354976 | − | 1.10395i | 0.0159389 | − | 0.0495690i | ||||
\(497\) | −46.1963 | + | 46.1963i | −2.07219 | + | 2.07219i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.59034 | + | 38.1592i | −0.339790 | + | 1.70824i | 0.312202 | + | 0.950016i | \(0.398933\pi\) |
−0.651992 | + | 0.758226i | \(0.726067\pi\) | |||||||
\(500\) | 15.0384 | − | 6.96065i | 0.672539 | − | 0.311290i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.0737 | − | 15.3395i | 0.538877 | − | 0.684636i | ||||
\(503\) | −2.13613 | + | 5.15707i | −0.0952452 | + | 0.229942i | −0.964320 | − | 0.264738i | \(-0.914715\pi\) |
0.869075 | + | 0.494680i | \(0.164715\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −15.6265 | − | 37.7257i | −0.695370 | − | 1.67877i | ||||
\(506\) | −0.468183 | + | 1.66491i | −0.0208133 | + | 0.0740144i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.23549 | − | 14.2551i | 0.0991840 | − | 0.632466i | ||||
\(509\) | 18.2483 | + | 27.3106i | 0.808843 | + | 1.21052i | 0.974511 | + | 0.224338i | \(0.0720219\pi\) |
−0.165668 | + | 0.986182i | \(0.552978\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −71.9016 | −3.18074 | ||||||||
\(512\) | 1.93013 | + | 22.5449i | 0.0853006 | + | 0.996355i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 8.01502 | + | 9.36991i | 0.353528 | + | 0.413289i | ||||
\(515\) | −2.25815 | − | 3.37956i | −0.0995061 | − | 0.148921i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.0157381 | − | 0.0791206i | −0.000692159 | − | 0.00347972i | ||||
\(518\) | 3.52269 | − | 12.5271i | 0.154778 | − | 0.550408i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 18.0162 | − | 11.0971i | 0.790063 | − | 0.486642i | ||||
\(521\) | −8.78528 | + | 21.2095i | −0.384890 | + | 0.929207i | 0.606114 | + | 0.795378i | \(0.292727\pi\) |
−0.991004 | + | 0.133829i | \(0.957273\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.37316 | − | 4.25841i | −0.278679 | − | 0.186207i | 0.408374 | − | 0.912815i | \(-0.366096\pi\) |
−0.687053 | + | 0.726607i | \(0.741096\pi\) | |||||||
\(524\) | −20.4020 | + | 9.44320i | −0.891264 | + | 0.412528i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.58888 | + | 7.05687i | −0.156483 | + | 0.307694i | ||||
\(527\) | 0.725622 | − | 0.725622i | 0.0316086 | − | 0.0316086i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.83562 | − | 9.83562i | −0.427636 | − | 0.427636i | ||||
\(530\) | −1.85275 | + | 0.603558i | −0.0804784 | + | 0.0262169i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −24.2272 | + | 0.988907i | −1.05038 | + | 0.0428745i | ||||
\(533\) | 10.2819 | − | 15.3880i | 0.445359 | − | 0.666527i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −9.24983 | − | 3.83140i | −0.399905 | − | 0.165646i | ||||
\(536\) | −11.7311 | − | 5.37558i | −0.506705 | − | 0.232190i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.64333 | − | 0.921959i | 0.0708492 | − | 0.0397485i | ||||
\(539\) | −5.88651 | + | 1.17090i | −0.253550 | + | 0.0504342i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.0903 | + | 20.1057i | −1.29368 | + | 0.864412i | −0.995921 | − | 0.0902276i | \(-0.971241\pi\) |
−0.297763 | + | 0.954640i | \(0.596241\pi\) | |||||||
\(542\) | 41.9175 | + | 3.26681i | 1.80051 | + | 0.140321i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.59213 | + | 18.5286i | −0.325510 | + | 0.794406i | ||||
\(545\) | 7.47770i | 0.320309i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.47625 | − | 6.33183i | 0.405175 | − | 0.270729i | −0.336239 | − | 0.941777i | \(-0.609155\pi\) |
0.741415 | + | 0.671047i | \(0.234155\pi\) | |||||||
\(548\) | 20.4854 | + | 12.5105i | 0.875095 | + | 0.534424i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.513474 | − | 0.915236i | −0.0218946 | − | 0.0390258i | ||||
\(551\) | −12.7012 | + | 5.26102i | −0.541090 | + | 0.224127i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 25.4943 | + | 10.5601i | 1.08413 | + | 0.449060i | ||||
\(554\) | 18.6159 | − | 2.21773i | 0.790913 | − | 0.0942225i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −21.3943 | + | 23.2152i | −0.907322 | + | 0.984544i | ||||
\(557\) | 31.7111 | + | 6.30773i | 1.34364 | + | 0.267267i | 0.813956 | − | 0.580927i | \(-0.197310\pi\) |
0.529686 | + | 0.848194i | \(0.322310\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.6538 | + | 12.6538i | 0.535199 | + | 0.535199i | ||||
\(560\) | 46.9306 | − | 13.3905i | 1.98318 | − | 0.565852i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −22.4983 | − | 11.4418i | −0.949033 | − | 0.482645i | ||||
\(563\) | −8.24892 | + | 41.4701i | −0.347650 | + | 1.74776i | 0.271457 | + | 0.962451i | \(0.412494\pi\) |
−0.619108 | + | 0.785306i | \(0.712506\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 25.5045 | + | 17.0416i | 1.07298 | + | 0.716944i | ||||
\(566\) | 6.47801 | + | 5.09885i | 0.272291 | + | 0.214320i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 32.0736 | + | 23.1909i | 1.34578 | + | 0.973067i | ||||
\(569\) | −12.0106 | − | 28.9961i | −0.503509 | − | 1.21558i | −0.947560 | − | 0.319577i | \(-0.896459\pi\) |
0.444051 | − | 0.896001i | \(-0.353541\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.546501 | + | 2.74744i | 0.0228703 | + | 0.114977i | 0.990534 | − | 0.137266i | \(-0.0438316\pi\) |
−0.967664 | + | 0.252243i | \(0.918832\pi\) | |||||||
\(572\) | 1.36786 | + | 1.87667i | 0.0571930 | + | 0.0784675i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 32.4370 | − | 27.7466i | 1.35389 | − | 1.15812i | ||||
\(575\) | −5.51591 | −0.230030 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −24.8273 | −1.03357 | −0.516787 | − | 0.856114i | \(-0.672872\pi\) | ||||
−0.516787 | + | 0.856114i | \(0.672872\pi\) | |||||||
\(578\) | 4.80418 | − | 4.10950i | 0.199827 | − | 0.170932i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 22.3610 | − | 16.2984i | 0.928492 | − | 0.676755i | ||||
\(581\) | 7.27481 | + | 36.5729i | 0.301810 | + | 1.51730i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.0818394 | − | 0.197578i | −0.00338944 | − | 0.00818283i | ||||
\(584\) | 6.91269 | + | 43.0078i | 0.286049 | + | 1.77968i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.924092 | + | 0.727353i | 0.0381739 | + | 0.0300467i | ||||
\(587\) | 8.37191 | + | 5.59393i | 0.345546 | + | 0.230886i | 0.716217 | − | 0.697878i | \(-0.245872\pi\) |
−0.370671 | + | 0.928764i | \(0.620872\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.146869 | − | 0.738359i | 0.00605162 | − | 0.0304236i | ||||
\(590\) | 17.8581 | + | 9.08200i | 0.735206 | + | 0.373900i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.83173 | − | 0.902726i | −0.321882 | − | 0.0371018i | ||||
\(593\) | 28.3397 | + | 28.3397i | 1.16377 | + | 1.16377i | 0.983643 | + | 0.180131i | \(0.0576523\pi\) |
0.180131 | + | 0.983643i | \(0.442348\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 42.3579 | + | 8.42552i | 1.73651 | + | 0.345412i | ||||
\(596\) | −28.7371 | − | 26.4831i | −1.17712 | − | 1.08479i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 12.1203 | − | 1.44391i | 0.495637 | − | 0.0590458i | ||||
\(599\) | 4.40247 | + | 1.82356i | 0.179880 | + | 0.0745087i | 0.470806 | − | 0.882237i | \(-0.343963\pi\) |
−0.290926 | + | 0.956746i | \(0.593963\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.66779 | + | 1.10504i | −0.108822 | + | 0.0450754i | −0.436430 | − | 0.899738i | \(-0.643757\pi\) |
0.327608 | + | 0.944814i | \(0.393757\pi\) | |||||||
\(602\) | 20.1949 | + | 35.9962i | 0.823084 | + | 1.46710i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −14.1034 | + | 23.0937i | −0.573860 | + | 0.939669i | ||||
\(605\) | −23.5444 | + | 15.7319i | −0.957217 | + | 0.639592i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 46.5933i | 1.89116i | 0.325386 | + | 0.945581i | \(0.394506\pi\) | ||||
−0.325386 | + | 0.945581i | \(0.605494\pi\) | |||||||
\(608\) | 2.92074 | + | 14.3964i | 0.118452 | + | 0.583851i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 31.6599 | + | 2.46739i | 1.28187 | + | 0.0999017i | ||||
\(611\) | −0.473389 | + | 0.316309i | −0.0191513 | + | 0.0127965i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −18.2485 | + | 3.62984i | −0.737048 | + | 0.146608i | −0.549319 | − | 0.835613i | \(-0.685113\pi\) |
−0.187729 | + | 0.982221i | \(0.560113\pi\) | |||||||
\(614\) | −7.51664 | + | 4.21705i | −0.303347 | + | 0.170186i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.86536 | + | 5.02087i | 0.0751574 | + | 0.202296i | ||||
\(617\) | 26.6169 | + | 11.0251i | 1.07155 | + | 0.443852i | 0.847539 | − | 0.530733i | \(-0.178083\pi\) |
0.224016 | + | 0.974586i | \(0.428083\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.76585 | − | 10.1258i | 0.271942 | − | 0.406990i | −0.670212 | − | 0.742170i | \(-0.733797\pi\) |
0.942154 | + | 0.335179i | \(0.108797\pi\) | |||||||
\(620\) | 0.0617974 | + | 1.51397i | 0.00248184 | + | 0.0608027i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −1.95908 | + | 0.638196i | −0.0785519 | + | 0.0255893i | ||||
\(623\) | −23.1084 | − | 23.1084i | −0.925820 | − | 0.925820i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.7792 | + | 21.7792i | −0.871167 | + | 0.871167i | ||||
\(626\) | −11.1610 | + | 21.9461i | −0.446084 | + | 0.877143i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.35125 | + | 18.0428i | 0.333251 | + | 0.719987i | ||||
\(629\) | −5.80069 | − | 3.87590i | −0.231289 | − | 0.154542i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.364096 | − | 0.879005i | 0.0144944 | − | 0.0349926i | −0.916467 | − | 0.400111i | \(-0.868972\pi\) |
0.930961 | + | 0.365118i | \(0.118972\pi\) | |||||||
\(632\) | 3.86545 | − | 16.2646i | 0.153759 | − | 0.646972i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.581115 | + | 2.06651i | −0.0230790 | + | 0.0820717i | ||||
\(635\) | 3.67828 | + | 18.4919i | 0.145968 | + | 0.733831i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 23.5331 | + | 35.2198i | 0.932416 | + | 1.39546i | ||||
\(638\) | 1.97402 | + | 2.30772i | 0.0781523 | + | 0.0913634i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −12.5215 | − | 26.7841i | −0.494954 | − | 1.05873i | ||||
\(641\) | −23.8243 | −0.941002 | −0.470501 | − | 0.882399i | \(-0.655927\pi\) | ||||
−0.470501 | + | 0.882399i | \(0.655927\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −25.7461 | − | 38.5318i | −1.01533 | − | 1.51954i | −0.845432 | − | 0.534083i | \(-0.820657\pi\) |
−0.169895 | − | 0.985462i | \(-0.554343\pi\) | |||||||
\(644\) | 27.8126 | + | 4.36160i | 1.09597 | + | 0.171871i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.51901 | + | 12.5140i | −0.138454 | + | 0.492356i | ||||
\(647\) | −13.2165 | − | 31.9073i | −0.519592 | − | 1.25441i | −0.938154 | − | 0.346219i | \(-0.887466\pi\) |
0.418561 | − | 0.908188i | \(-0.362534\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.841451 | + | 2.03144i | −0.0330298 | + | 0.0797411i | ||||
\(650\) | −4.58087 | + | 5.81993i | −0.179677 | + | 0.228277i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −17.1050 | − | 36.9552i | −0.669882 | − | 1.44728i | ||||
\(653\) | −2.10914 | + | 10.6034i | −0.0825371 | + | 0.414942i | 0.917322 | + | 0.398146i | \(0.130346\pi\) |
−0.999859 | + | 0.0167955i | \(0.994654\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 20.7717 | − | 20.7717i | 0.811618 | − | 0.811618i | ||||
\(656\) | −19.7151 | − | 16.7346i | −0.769746 | − | 0.653374i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.24857 | + | 0.406739i | −0.0486744 | + | 0.0158563i | ||||
\(659\) | −19.8824 | − | 3.95485i | −0.774508 | − | 0.154059i | −0.208015 | − | 0.978126i | \(-0.566700\pi\) |
−0.566493 | + | 0.824067i | \(0.691700\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.28231 | − | 1.91911i | 0.0498760 | − | 0.0746447i | −0.805694 | − | 0.592333i | \(-0.798207\pi\) |
0.855570 | + | 0.517688i | \(0.173207\pi\) | |||||||
\(662\) | −5.46279 | − | 45.8552i | −0.212317 | − | 1.78221i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 21.1766 | − | 7.86757i | 0.821813 | − | 0.305321i | ||||
\(665\) | 29.2714 | − | 12.1246i | 1.13510 | − | 0.470173i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.6551 | − | 3.11400i | 0.606169 | − | 0.120574i | ||||
\(668\) | 3.10627 | + | 12.8521i | 0.120185 | + | 0.497264i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 16.8103 | + | 1.31010i | 0.649438 | + | 0.0506135i | ||||
\(671\) | 3.48520i | 0.134545i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.14126i | 0.352370i | 0.984357 | + | 0.176185i | \(0.0563756\pi\) | ||||
−0.984357 | + | 0.176185i | \(0.943624\pi\) | |||||||
\(674\) | −2.63279 | + | 33.7821i | −0.101411 | + | 1.30124i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.00890 | + | 8.20185i | −0.192650 | + | 0.315456i | ||||
\(677\) | −41.3684 | + | 8.22868i | −1.58992 | + | 0.316254i | −0.909221 | − | 0.416313i | \(-0.863322\pi\) |
−0.680695 | + | 0.732567i | \(0.738322\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −70.0611 | + | 29.0203i | −2.68870 | + | 1.11370i | ||||
\(680\) | 0.967379 | − | 26.1464i | 0.0370973 | − | 1.00267i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.165129 | + | 0.0196720i | −0.00632312 | + | 0.000753281i | ||||
\(683\) | 17.8505 | − | 26.7151i | 0.683029 | − | 1.02223i | −0.314310 | − | 0.949321i | \(-0.601773\pi\) |
0.997339 | − | 0.0729051i | \(-0.0232270\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −30.7618 | − | 6.11891i | −1.17535 | − | 0.233791i | ||||
\(686\) | 15.9454 | + | 48.9478i | 0.608798 | + | 1.86884i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 19.5895 | − | 15.5403i | 0.746843 | − | 0.592467i | ||||
\(689\) | −1.06725 | + | 1.06725i | −0.0406588 | + | 0.0406588i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.87095 | − | 19.4606i | 0.147258 | − | 0.740315i | −0.834624 | − | 0.550820i | \(-0.814315\pi\) |
0.981882 | − | 0.189495i | \(-0.0606850\pi\) | |||||||
\(692\) | −1.66174 | + | 4.52559i | −0.0631699 | + | 0.172037i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 21.3922 | + | 16.8378i | 0.812037 | + | 0.639154i | ||||
\(695\) | 15.7862 | − | 38.1113i | 0.598805 | − | 1.44564i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.75739 | − | 21.1422i | −0.331710 | − | 0.800819i | ||||
\(698\) | −32.6584 | − | 9.18373i | −1.23614 | − | 0.347609i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −13.8048 | + | 10.0620i | −0.521773 | + | 0.380308i | ||||
\(701\) | −15.9568 | − | 23.8811i | −0.602681 | − | 0.901976i | 0.397195 | − | 0.917734i | \(-0.369984\pi\) |
−0.999876 | + | 0.0157585i | \(0.994984\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.11801 | −0.193029 | ||||||||
\(704\) | 2.82389 | − | 1.59847i | 0.106429 | − | 0.0602447i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.70323 | + | 4.87854i | −0.214644 | + | 0.183606i | ||||
\(707\) | −40.5289 | − | 60.6557i | −1.52424 | − | 2.28119i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.15652 | + | 15.8689i | 0.118546 | + | 0.595969i | 0.993695 | + | 0.112116i | \(0.0357629\pi\) |
−0.875149 | + | 0.483853i | \(0.839237\pi\) | |||||||
\(710\) | −49.7860 | − | 14.0001i | −1.86843 | − | 0.525415i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −11.6006 | + | 16.0439i | −0.434751 | + | 0.601272i | ||||
\(713\) | −0.334492 | + | 0.807535i | −0.0125268 | + | 0.0302424i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.52303 | − | 1.68583i | −0.0943560 | − | 0.0630466i | ||||
\(716\) | −21.3312 | − | 7.83256i | −0.797185 | − | 0.292716i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 39.9185 | + | 20.3012i | 1.48975 | + | 0.757633i | ||||
\(719\) | −15.3302 | + | 15.3302i | −0.571719 | + | 0.571719i | −0.932609 | − | 0.360889i | \(-0.882473\pi\) |
0.360889 | + | 0.932609i | \(0.382473\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.13455 | − | 5.13455i | −0.191221 | − | 0.191221i | ||||
\(722\) | −5.36893 | − | 16.4811i | −0.199811 | − | 0.613362i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −27.0658 | + | 29.3694i | −1.00589 | + | 1.09150i | ||||
\(725\) | −5.38095 | + | 8.05317i | −0.199844 | + | 0.299087i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −29.8242 | − | 12.3536i | −1.10612 | − | 0.458169i | −0.246519 | − | 0.969138i | \(-0.579287\pi\) |
−0.859599 | + | 0.510969i | \(0.829287\pi\) | |||||||
\(728\) | 27.6999 | − | 25.7233i | 1.02663 | − | 0.953369i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −27.8492 | − | 49.6395i | −1.03075 | − | 1.83724i | ||||
\(731\) | 21.7025 | − | 4.31690i | 0.802696 | − | 0.159666i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 25.9985 | − | 17.3717i | 0.960278 | − | 0.641637i | 0.0265602 | − | 0.999647i | \(-0.491545\pi\) |
0.933718 | + | 0.358010i | \(0.116545\pi\) | |||||||
\(734\) | 1.67376 | − | 21.4765i | 0.0617795 | − | 0.792713i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0650434 | − | 17.0554i | −0.00239753 | − | 0.628670i | ||||
\(737\) | 1.85052i | 0.0681648i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.73845 | − | 1.82977i | 0.100735 | − | 0.0673092i | −0.504182 | − | 0.863597i | \(-0.668206\pi\) |
0.604918 | + | 0.796288i | \(0.293206\pi\) | |||||||
\(740\) | 10.0129 | − | 2.42004i | 0.368081 | − | 0.0889625i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.03599 | + | 1.70328i | −0.111455 | + | 0.0625293i | ||||
\(743\) | −2.57199 | + | 1.06535i | −0.0943570 | + | 0.0390840i | −0.429363 | − | 0.903132i | \(-0.641262\pi\) |
0.335006 | + | 0.942216i | \(0.391262\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 47.1762 | + | 19.5410i | 1.72840 | + | 0.715928i | ||||
\(746\) | −1.57077 | − | 13.1852i | −0.0575101 | − | 0.482746i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.86913 | − | 0.117112i | 0.104906 | − | 0.00428205i | ||||
\(749\) | −17.5427 | − | 3.48946i | −0.640996 | − | 0.127502i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.0944 | − | 10.0944i | −0.368350 | − | 0.368350i | 0.498525 | − | 0.866875i | \(-0.333875\pi\) |
−0.866875 | + | 0.498525i | \(0.833875\pi\) | |||||||
\(752\) | 0.363329 | + | 0.707727i | 0.0132492 | + | 0.0258082i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 9.71568 | − | 19.1041i | 0.353824 | − | 0.695730i | ||||
\(755\) | 6.89798 | − | 34.6785i | 0.251043 | − | 1.26208i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.275639 | + | 0.184176i | 0.0100183 | + | 0.00669400i | 0.560569 | − | 0.828108i | \(-0.310582\pi\) |
−0.550551 | + | 0.834802i | \(0.685582\pi\) | |||||||
\(758\) | −12.3253 | + | 15.6591i | −0.447675 | + | 0.568765i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.0665 | − | 16.3430i | −0.365151 | − | 0.592823i | ||||
\(761\) | 14.0734 | + | 33.9761i | 0.510160 | + | 1.23163i | 0.943791 | + | 0.330544i | \(0.107232\pi\) |
−0.433631 | + | 0.901091i | \(0.642768\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.60620 | + | 13.1022i | 0.0943507 | + | 0.474333i | ||||
\(764\) | 1.94149 | − | 12.3803i | 0.0702407 | − | 0.447903i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −14.6125 | − | 17.0826i | −0.527970 | − | 0.617219i | ||||
\(767\) | 15.5184 | 0.560336 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.1509 | 0.366049 | 0.183025 | − | 0.983108i | \(-0.441411\pi\) | ||||
0.183025 | + | 0.983108i | \(0.441411\pi\) | |||||||
\(770\) | −4.54937 | − | 5.31840i | −0.163948 | − | 0.191662i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.31561 | + | 21.1426i | −0.119332 | + | 0.760941i | ||||
\(773\) | −1.32796 | − | 6.67611i | −0.0477634 | − | 0.240123i | 0.949527 | − | 0.313685i | \(-0.101563\pi\) |
−0.997291 | + | 0.0735616i | \(0.976563\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.202966 | − | 0.490003i | −0.00729076 | − | 0.0176014i | ||||
\(776\) | 24.0942 | + | 39.1169i | 0.864930 | + | 1.40422i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.7976 | + | 13.7182i | −0.387112 | + | 0.491820i | ||||
\(779\) | −13.9589 | − | 9.32701i | −0.500128 | − | 0.334175i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.10732 | − | 5.56687i | 0.0396230 | − | 0.199198i | ||||
\(782\) | 6.84180 | − | 13.4531i | 0.244662 | − | 0.481083i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 52.6543 | − | 27.0314i | 1.88051 | − | 0.965407i | ||||
\(785\) | −18.3698 | − | 18.3698i | −0.655647 | − | 0.655647i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.70358 | − | 0.338863i | −0.0607260 | − | 0.0120792i | 0.164634 | − | 0.986355i | \(-0.447356\pi\) |
−0.225360 | + | 0.974276i | \(0.572356\pi\) | |||||||
\(788\) | −0.529612 | + | 0.0216177i | −0.0188667 | + | 0.000770099i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.58407 | + | 21.6910i | 0.0919371 | + | 0.771730i | ||||
\(791\) | 50.6278 | + | 20.9707i | 1.80012 | + | 0.745633i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 22.7248 | − | 9.41292i | 0.806982 | − | 0.334263i | ||||
\(794\) | −3.52533 | + | 1.97781i | −0.125109 | + | 0.0701900i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.53294 | + | 1.09558i | −0.160666 | + | 0.0388317i | ||||
\(797\) | 17.9770 | − | 12.0118i | 0.636777 | − | 0.425481i | −0.194837 | − | 0.980836i | \(-0.562418\pi\) |
0.831613 | + | 0.555355i | \(0.187418\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.703999i | 0.0249057i | ||||||||
\(800\) | 7.34577 | + | 7.28996i | 0.259712 | + | 0.257739i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.94441 | − | 24.9493i | 0.0686593 | − | 0.880990i | ||||
\(803\) | 5.19398 | − | 3.47051i | 0.183292 | − | 0.122471i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −36.0790 | + | 7.17657i | −1.27162 | + | 0.252941i | ||||
\(806\) | 0.574254 | + | 1.02357i | 0.0202272 | + | 0.0360538i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −32.3846 | + | 30.0738i | −1.13929 | + | 1.05799i | ||||
\(809\) | −13.9376 | − | 5.77316i | −0.490022 | − | 0.202974i | 0.123970 | − | 0.992286i | \(-0.460437\pi\) |
−0.613992 | + | 0.789312i | \(0.710437\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.5133 | − | 27.7071i | 0.650091 | − | 0.972929i | −0.349265 | − | 0.937024i | \(-0.613569\pi\) |
0.999355 | − | 0.0359051i | \(-0.0114314\pi\) | |||||||
\(812\) | 33.5000 | − | 36.3512i | 1.17562 | − | 1.27568i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.350180 | + | 1.07495i | 0.0122738 | + | 0.0376771i | ||||
\(815\) | 37.6249 | + | 37.6249i | 1.31794 | + | 1.31794i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.4786 | − | 11.4786i | 0.401585 | − | 0.401585i | ||||
\(818\) | −12.9520 | − | 6.58694i | −0.452857 | − | 0.230307i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 31.7194 | + | 11.6470i | 1.10769 | + | 0.406730i | ||||
\(821\) | 19.6678 | + | 13.1416i | 0.686411 | + | 0.458645i | 0.849238 | − | 0.528010i | \(-0.177061\pi\) |
−0.162828 | + | 0.986655i | \(0.552061\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.61584 | − | 6.31520i | 0.0911825 | − | 0.220134i | −0.871708 | − | 0.490025i | \(-0.836988\pi\) |
0.962891 | + | 0.269891i | \(0.0869877\pi\) | |||||||
\(824\) | −2.57758 | + | 3.56487i | −0.0897944 | + | 0.124188i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 34.4558 | + | 9.68919i | 1.19887 | + | 0.337130i | ||||
\(827\) | −6.84993 | − | 34.4369i | −0.238195 | − | 1.19749i | −0.895915 | − | 0.444226i | \(-0.853479\pi\) |
0.657720 | − | 0.753263i | \(-0.271521\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −19.9509 | − | 29.8586i | −0.692922 | − | 1.03703i | −0.996448 | − | 0.0842078i | \(-0.973164\pi\) |
0.303526 | − | 0.952823i | \(-0.401836\pi\) | |||||||
\(830\) | −22.4316 | + | 19.1880i | −0.778611 | + | 0.666025i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −18.0494 | − | 14.0956i | −0.625752 | − | 0.488676i | ||||
\(833\) | 52.3770 | 1.81475 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −9.59856 | − | 14.3653i | −0.332172 | − | 0.497131i | ||||
\(836\) | 1.70238 | − | 1.24082i | 0.0588779 | − | 0.0429147i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −11.6304 | − | 3.27053i | −0.401765 | − | 0.112979i | ||||
\(839\) | −3.33667 | − | 8.05543i | −0.115195 | − | 0.278104i | 0.855758 | − | 0.517376i | \(-0.173091\pi\) |
−0.970953 | + | 0.239272i | \(0.923091\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.372134 | + | 0.898412i | −0.0128322 | + | 0.0309797i | ||||
\(842\) | −6.51611 | − | 5.12884i | −0.224560 | − | 0.176751i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −9.24146 | + | 25.1682i | −0.318104 | + | 0.866326i | ||||
\(845\) | 2.44985 | − | 12.3162i | 0.0842775 | − | 0.423692i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −35.7710 | + | 35.7710i | −1.22910 | + | 1.22910i | ||||
\(848\) | 1.31070 | + | 1.65222i | 0.0450095 | + | 0.0567374i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.83670 | + | 8.70784i | 0.0972978 | + | 0.298677i | ||||
\(851\) | 5.82811 | + | 1.15928i | 0.199785 | + | 0.0397397i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.2816 | − | 36.3400i | 0.831387 | − | 1.24426i | −0.135938 | − | 0.990717i | \(-0.543405\pi\) |
0.967325 | − | 0.253541i | \(-0.0815952\pi\) | |||||||
\(854\) | 56.3336 | − | 6.71110i | 1.92770 | − | 0.229649i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.400643 | + | 10.8286i | −0.0136937 | + | 0.370114i | ||||
\(857\) | 20.2153 | − | 8.37347i | 0.690543 | − | 0.286032i | −0.00968359 | − | 0.999953i | \(-0.503082\pi\) |
0.700226 | + | 0.713921i | \(0.253082\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.64811 | − | 0.924566i | 0.158591 | − | 0.0315458i | −0.115156 | − | 0.993347i | \(-0.536737\pi\) |
0.273747 | + | 0.961802i | \(0.411737\pi\) | |||||||
\(860\) | −17.0291 | + | 27.8844i | −0.580688 | + | 0.950850i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.13367 | − | 53.0405i | 0.140793 | − | 1.80657i | ||||
\(863\) | 53.4875i | 1.82074i | 0.413799 | + | 0.910368i | \(0.364202\pi\) | ||||
−0.413799 | + | 0.910368i | \(0.635798\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | − | 6.29947i | − | 0.214188i | ||||||
\(866\) | 3.72894 | + | 0.290612i | 0.126715 | + | 0.00987541i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.635944 | + | 2.63121i | 0.0215854 | + | 0.0893091i | ||||
\(869\) | −2.35135 | + | 0.467712i | −0.0797640 | + | 0.0158660i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.0661 | − | 4.99793i | 0.408843 | − | 0.169348i | ||||
\(872\) | 7.58652 | − | 2.81855i | 0.256912 | − | 0.0954483i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.30981 | − | 10.9947i | −0.0443050 | − | 0.371900i | ||||
\(875\) | −21.4912 | + | 32.1639i | −0.726535 | + | 1.08734i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.46786 | − | 0.888712i | −0.150869 | − | 0.0300097i | 0.119078 | − | 0.992885i | \(-0.462006\pi\) |
−0.269947 | + | 0.962875i | \(0.587006\pi\) | |||||||
\(878\) | 13.3891 | − | 4.36169i | 0.451862 | − | 0.147200i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.74381 | + | 3.23251i | −0.0924940 | + | 0.108968i | ||||
\(881\) | 15.9270 | − | 15.9270i | 0.536595 | − | 0.536595i | −0.385932 | − | 0.922527i | \(-0.626120\pi\) |
0.922527 | + | 0.385932i | \(0.126120\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.68186 | + | 33.5920i | −0.224863 | + | 1.13046i | 0.689101 | + | 0.724665i | \(0.258005\pi\) |
−0.913964 | + | 0.405796i | \(0.866995\pi\) | |||||||
\(884\) | −8.51264 | − | 18.3915i | −0.286311 | − | 0.618573i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.3249 | + | 13.1177i | −0.346873 | + | 0.440697i | ||||
\(887\) | −3.81352 | + | 9.20665i | −0.128045 | + | 0.309129i | −0.974881 | − | 0.222725i | \(-0.928505\pi\) |
0.846836 | + | 0.531854i | \(0.178505\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 12.8900 | + | 31.1191i | 0.432316 | + | 1.04370i | ||||
\(890\) | 7.00318 | − | 24.9041i | 0.234747 | − | 0.834787i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 53.0238 | + | 8.31524i | 1.77537 | + | 0.278415i | ||||
\(893\) | 0.286932 | + | 0.429424i | 0.00960182 | + | 0.0143701i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 29.6923 | 0.992505 | ||||||||
\(896\) | −31.2748 | − | 42.5663i | −1.04482 | − | 1.42204i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −31.9895 | − | 37.3971i | −1.06750 | − | 1.24796i | ||||
\(899\) | 0.852683 | + | 1.27613i | 0.0284386 | + | 0.0425613i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.364095 | + | 1.83043i | 0.0121298 | + | 0.0609805i | ||||
\(902\) | −1.00390 | + | 3.56999i | −0.0334263 | + | 0.118868i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.67620 | − | 32.2991i | 0.255307 | − | 1.07425i | ||||
\(905\) | 19.9710 | − | 48.2143i | 0.663859 | − | 1.60270i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 26.1119 | + | 17.4474i | 0.867033 | + | 0.579333i | 0.907596 | − | 0.419844i | \(-0.137915\pi\) |
−0.0405634 | + | 0.999177i | \(0.512915\pi\) | |||||||
\(908\) | 1.94104 | + | 4.19359i | 0.0644155 | + | 0.139169i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −22.3909 | + | 44.0276i | −0.742251 | + | 1.45950i | ||||
\(911\) | 27.7728 | − | 27.7728i | 0.920155 | − | 0.920155i | −0.0768847 | − | 0.997040i | \(-0.524497\pi\) |
0.997040 | + | 0.0768847i | \(0.0244973\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.29080 | − | 2.29080i | −0.0758143 | − | 0.0758143i | ||||
\(914\) | −34.4479 | + | 11.2219i | −1.13944 | + | 0.371186i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.749252 | − | 18.3559i | −0.0247560 | − | 0.606497i | ||||
\(917\) | 29.1561 | − | 43.6353i | 0.962821 | − | 1.44096i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 27.5012 | + | 11.3914i | 0.907180 | + | 0.375766i | 0.786976 | − | 0.616983i | \(-0.211645\pi\) |
0.120204 | + | 0.992749i | \(0.461645\pi\) | |||||||
\(920\) | 7.76133 | + | 20.8907i | 0.255883 | + | 0.688745i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 45.6695 | − | 25.6219i | 1.50404 | − | 0.843812i | ||||
\(923\) | −39.2887 | + | 7.81501i | −1.29320 | + | 0.257234i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.99804 | + | 2.00323i | −0.0985750 | + | 0.0658657i | ||||
\(926\) | 40.7299 | + | 3.17425i | 1.33847 | + | 0.104312i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −24.9641 | − | 16.5431i | −0.819487 | − | 0.543055i | ||||
\(929\) | 46.3862i | 1.52188i | 0.648821 | + | 0.760941i | \(0.275262\pi\) | ||||
−0.648821 | + | 0.760941i | \(0.724738\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 31.9488 | − | 21.3475i | 1.04708 | − | 0.699637i | ||||
\(932\) | −18.4531 | + | 30.2160i | −0.604450 | + | 0.989759i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 9.64719 | + | 17.1955i | 0.315666 | + | 0.562654i | ||||
\(935\) | −3.46650 | + | 1.43587i | −0.113367 | + | 0.0469580i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 18.9322 | + | 7.84197i | 0.618488 | + | 0.256186i | 0.669853 | − | 0.742494i | \(-0.266357\pi\) |
−0.0513650 | + | 0.998680i | \(0.516357\pi\) | |||||||
\(938\) | 29.9112 | − | 3.56336i | 0.976635 | − | 0.116348i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.764407 | − | 0.704452i | −0.0249322 | − | 0.0229767i | ||||
\(941\) | −9.60036 | − | 1.90963i | −0.312963 | − | 0.0622521i | 0.0361100 | − | 0.999348i | \(-0.488503\pi\) |
−0.349073 | + | 0.937096i | \(0.613503\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 13.7829 | + | 13.7829i | 0.448833 | + | 0.448833i | ||||
\(944\) | 2.48296 | − | 21.5412i | 0.0808133 | − | 0.701107i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.19627 | − | 1.62551i | −0.103920 | − | 0.0528500i | ||||
\(947\) | −1.52160 | + | 7.64962i | −0.0494455 | + | 0.248579i | −0.997601 | − | 0.0692279i | \(-0.977946\pi\) |
0.948155 | + | 0.317807i | \(0.102946\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −36.6570 | − | 24.4934i | −1.18994 | − | 0.795090i | ||||
\(950\) | 5.27942 | + | 4.15543i | 0.171287 | + | 0.134820i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7.41776 | − | 46.1502i | −0.240411 | − | 1.49574i | ||||
\(953\) | −3.26587 | − | 7.88452i | −0.105792 | − | 0.255405i | 0.862115 | − | 0.506712i | \(-0.169139\pi\) |
−0.967907 | + | 0.251308i | \(0.919139\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.19452 | + | 16.0600i | 0.103372 | + | 0.519688i | ||||
\(956\) | −5.37169 | + | 3.91529i | −0.173733 | + | 0.126630i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −13.6031 | + | 11.6361i | −0.439497 | + | 0.375946i | ||||
\(959\) | −56.0327 | −1.80939 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.9160 | 0.997289 | ||||||||
\(962\) | 6.06332 | − | 5.18657i | 0.195489 | − | 0.167222i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.0005 | − | 19.2084i | −0.450926 | − | 0.618659i | ||||
\(965\) | −5.45550 | − | 27.4267i | −0.175619 | − | 0.882895i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.63680 | − | 18.4369i | −0.245583 | − | 0.592890i | 0.752236 | − | 0.658893i | \(-0.228975\pi\) |
−0.997819 | + | 0.0660036i | \(0.978975\pi\) | |||||||
\(968\) | 24.8354 | + | 17.9573i | 0.798240 | + | 0.577169i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −47.1714 | − | 37.1287i | −1.51458 | − | 1.19213i | ||||
\(971\) | −6.07191 | − | 4.05712i | −0.194857 | − | 0.130199i | 0.454315 | − | 0.890841i | \(-0.349884\pi\) |
−0.649171 | + | 0.760642i | \(0.724884\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 14.3773 | − | 72.2796i | 0.460915 | − | 2.31718i | ||||
\(974\) | 15.5331 | + | 7.89958i | 0.497712 | + | 0.253119i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −9.43020 | − | 33.0507i | −0.301853 | − | 1.05793i | ||||
\(977\) | 9.80496 | + | 9.80496i | 0.313689 | + | 0.313689i | 0.846337 | − | 0.532648i | \(-0.178803\pi\) |
−0.532648 | + | 0.846337i | \(0.678803\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.78468 | + | 0.553906i | 0.0889986 | + | 0.0177029i | ||||
\(980\) | −52.4106 | + | 56.8713i | −1.67420 | + | 1.81669i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 44.7700 | − | 5.33351i | 1.42867 | − | 0.170199i | ||||
\(983\) | −23.5837 | − | 9.76870i | −0.752204 | − | 0.311573i | −0.0265636 | − | 0.999647i | \(-0.508456\pi\) |
−0.725641 | + | 0.688074i | \(0.758456\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.639880 | − | 0.265047i | 0.0203883 | − | 0.00844510i | ||||
\(986\) | −12.9670 | − | 23.1129i | −0.412954 | − | 0.736066i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −12.6884 | − | 7.74888i | −0.403673 | − | 0.246525i | ||||
\(989\) | −15.6712 | + | 10.4712i | −0.498316 | + | 0.332964i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.5312i | 0.398066i | 0.979993 | + | 0.199033i | \(0.0637801\pi\) | ||||
−0.979993 | + | 0.199033i | \(0.936220\pi\) | |||||||
\(992\) | 1.51271 | − | 0.633356i | 0.0480287 | − | 0.0201091i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −92.1132 | − | 7.17878i | −2.92165 | − | 0.227697i | ||||
\(995\) | 5.06661 | − | 3.38540i | 0.160622 | − | 0.107324i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −45.0321 | + | 8.95744i | −1.42618 | + | 0.283685i | −0.847034 | − | 0.531538i | \(-0.821614\pi\) |
−0.579147 | + | 0.815223i | \(0.696614\pi\) | |||||||
\(998\) | −47.9864 | + | 26.9218i | −1.51898 | + | 0.852194i | ||||
\(999\) | 0 | 0 |
(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 | 576.2.bd.a.109.6 | 56 | ||
3.2 | odd | 2 | 64.2.i.a.45.2 | yes | 56 | ||
12.11 | even | 2 | 256.2.i.a.17.2 | 56 | |||
24.5 | odd | 2 | 512.2.i.b.289.2 | 56 | |||
24.11 | even | 2 | 512.2.i.a.289.6 | 56 | |||
64.37 | even | 16 | inner | 576.2.bd.a.37.6 | 56 | ||
192.5 | odd | 16 | 512.2.i.b.225.2 | 56 | |||
192.59 | even | 16 | 512.2.i.a.225.6 | 56 | |||
192.101 | odd | 16 | 64.2.i.a.37.2 | ✓ | 56 | ||
192.155 | even | 16 | 256.2.i.a.241.2 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.37.2 | ✓ | 56 | 192.101 | odd | 16 | ||
64.2.i.a.45.2 | yes | 56 | 3.2 | odd | 2 | ||
256.2.i.a.17.2 | 56 | 12.11 | even | 2 | |||
256.2.i.a.241.2 | 56 | 192.155 | even | 16 | |||
512.2.i.a.225.6 | 56 | 192.59 | even | 16 | |||
512.2.i.a.289.6 | 56 | 24.11 | even | 2 | |||
512.2.i.b.225.2 | 56 | 192.5 | odd | 16 | |||
512.2.i.b.289.2 | 56 | 24.5 | odd | 2 | |||
576.2.bd.a.37.6 | 56 | 64.37 | even | 16 | inner | ||
576.2.bd.a.109.6 | 56 | 1.1 | even | 1 | trivial |