Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(81,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.g (of order \(5\), degree \(4\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 251.3 | ||
Character | \(\chi\) | \(=\) | 605.251 |
Dual form | 605.2.g.q.511.3 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.148607 | + | 0.457364i | −0.105081 | + | 0.323405i | −0.989749 | − | 0.142815i | \(-0.954385\pi\) |
0.884669 | + | 0.466220i | \(0.154385\pi\) | |||||||
\(3\) | 1.29579 | − | 0.941443i | 0.748122 | − | 0.543543i | −0.147122 | − | 0.989118i | \(-0.547001\pi\) |
0.895244 | + | 0.445576i | \(0.147001\pi\) | |||||||
\(4\) | 1.43094 | + | 1.03964i | 0.715468 | + | 0.519818i | ||||
\(5\) | 0.309017 | + | 0.951057i | 0.138197 | + | 0.425325i | ||||
\(6\) | 0.238020 | + | 0.732550i | 0.0971713 | + | 0.299062i | ||||
\(7\) | −0.389057 | − | 0.282666i | −0.147050 | − | 0.106838i | 0.511828 | − | 0.859088i | \(-0.328969\pi\) |
−0.658878 | + | 0.752250i | \(0.728969\pi\) | |||||||
\(8\) | −1.46625 | + | 1.06529i | −0.518399 | + | 0.376639i | ||||
\(9\) | −0.134306 | + | 0.413352i | −0.0447687 | + | 0.137784i | ||||
\(10\) | −0.480901 | −0.152074 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 2.83294 | 0.817801 | ||||||||
\(13\) | −1.48192 | + | 4.56088i | −0.411010 | + | 1.26496i | 0.504761 | + | 0.863259i | \(0.331581\pi\) |
−0.915771 | + | 0.401700i | \(0.868419\pi\) | |||||||
\(14\) | 0.187098 | − | 0.135935i | 0.0500040 | − | 0.0363300i | ||||
\(15\) | 1.29579 | + | 0.941443i | 0.334570 | + | 0.243080i | ||||
\(16\) | 0.823805 | + | 2.53541i | 0.205951 | + | 0.633853i | ||||
\(17\) | 0.773253 | + | 2.37983i | 0.187541 | + | 0.577193i | 0.999983 | − | 0.00584959i | \(-0.00186199\pi\) |
−0.812441 | + | 0.583043i | \(0.801862\pi\) | |||||||
\(18\) | −0.169094 | − | 0.122854i | −0.0398557 | − | 0.0289569i | ||||
\(19\) | 4.65783 | − | 3.38411i | 1.06858 | − | 0.776368i | 0.0929225 | − | 0.995673i | \(-0.470379\pi\) |
0.975656 | + | 0.219305i | \(0.0703791\pi\) | |||||||
\(20\) | −0.546569 | + | 1.68217i | −0.122217 | + | 0.376144i | ||||
\(21\) | −0.770249 | −0.168082 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.43462 | 0.924683 | 0.462342 | − | 0.886702i | \(-0.347009\pi\) | ||||
0.462342 | + | 0.886702i | \(0.347009\pi\) | |||||||
\(24\) | −0.897034 | + | 2.76079i | −0.183106 | + | 0.563543i | ||||
\(25\) | −0.809017 | + | 0.587785i | −0.161803 | + | 0.117557i | ||||
\(26\) | −1.86576 | − | 1.35555i | −0.365905 | − | 0.265846i | ||||
\(27\) | 1.69995 | + | 5.23192i | 0.327156 | + | 1.00688i | ||||
\(28\) | −0.262846 | − | 0.808955i | −0.0496731 | − | 0.152878i | ||||
\(29\) | −7.29125 | − | 5.29740i | −1.35395 | − | 0.983703i | −0.998804 | − | 0.0488927i | \(-0.984431\pi\) |
−0.355147 | − | 0.934810i | \(-0.615569\pi\) | |||||||
\(30\) | −0.623145 | + | 0.452741i | −0.113770 | + | 0.0826588i | ||||
\(31\) | 2.46351 | − | 7.58191i | 0.442460 | − | 1.36175i | −0.442786 | − | 0.896627i | \(-0.646010\pi\) |
0.885246 | − | 0.465124i | \(-0.153990\pi\) | |||||||
\(32\) | −4.90680 | −0.867409 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.20336 | −0.206374 | ||||||||
\(35\) | 0.148607 | − | 0.457364i | 0.0251191 | − | 0.0773086i | ||||
\(36\) | −0.621919 | + | 0.451851i | −0.103653 | + | 0.0753084i | ||||
\(37\) | −4.20961 | − | 3.05846i | −0.692055 | − | 0.502807i | 0.185280 | − | 0.982686i | \(-0.440681\pi\) |
−0.877335 | + | 0.479878i | \(0.840681\pi\) | |||||||
\(38\) | 0.855586 | + | 2.63322i | 0.138794 | + | 0.427165i | ||||
\(39\) | 2.37356 | + | 7.30506i | 0.380073 | + | 1.16975i | ||||
\(40\) | −1.46625 | − | 1.06529i | −0.231835 | − | 0.168438i | ||||
\(41\) | 6.83720 | − | 4.96752i | 1.06779 | − | 0.775796i | 0.0922772 | − | 0.995733i | \(-0.470585\pi\) |
0.975514 | + | 0.219938i | \(0.0705854\pi\) | |||||||
\(42\) | 0.114464 | − | 0.352284i | 0.0176622 | − | 0.0543586i | ||||
\(43\) | 8.53158 | 1.30105 | 0.650527 | − | 0.759483i | \(-0.274548\pi\) | ||||
0.650527 | + | 0.759483i | \(0.274548\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.434624 | −0.0647899 | ||||||||
\(46\) | −0.659014 | + | 2.02824i | −0.0971663 | + | 0.299047i | ||||
\(47\) | −7.76792 | + | 5.64373i | −1.13307 | + | 0.823222i | −0.986138 | − | 0.165925i | \(-0.946939\pi\) |
−0.146929 | + | 0.989147i | \(0.546939\pi\) | |||||||
\(48\) | 3.45442 | + | 2.50978i | 0.498603 | + | 0.362256i | ||||
\(49\) | −2.09165 | − | 6.43745i | −0.298808 | − | 0.919636i | ||||
\(50\) | −0.148607 | − | 0.457364i | −0.0210161 | − | 0.0646810i | ||||
\(51\) | 3.24244 | + | 2.35577i | 0.454033 | + | 0.329874i | ||||
\(52\) | −6.86218 | + | 4.98567i | −0.951613 | + | 0.691387i | ||||
\(53\) | 1.88516 | − | 5.80193i | 0.258947 | − | 0.796957i | −0.734079 | − | 0.679064i | \(-0.762386\pi\) |
0.993026 | − | 0.117893i | \(-0.0376140\pi\) | |||||||
\(54\) | −2.64552 | −0.360009 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.871579 | 0.116470 | ||||||||
\(57\) | 2.84960 | − | 8.77016i | 0.377438 | − | 1.16164i | ||||
\(58\) | 3.50637 | − | 2.54753i | 0.460409 | − | 0.334507i | ||||
\(59\) | −2.23995 | − | 1.62742i | −0.291617 | − | 0.211872i | 0.432352 | − | 0.901705i | \(-0.357684\pi\) |
−0.723969 | + | 0.689833i | \(0.757684\pi\) | |||||||
\(60\) | 0.875428 | + | 2.69429i | 0.113017 | + | 0.347831i | ||||
\(61\) | 1.24390 | + | 3.82833i | 0.159265 | + | 0.490167i | 0.998568 | − | 0.0534969i | \(-0.0170367\pi\) |
−0.839303 | + | 0.543664i | \(0.817037\pi\) | |||||||
\(62\) | 3.10160 | + | 2.25344i | 0.393903 | + | 0.286188i | ||||
\(63\) | 0.169094 | − | 0.122854i | 0.0213038 | − | 0.0154781i | ||||
\(64\) | −0.918427 | + | 2.82663i | −0.114803 | + | 0.353329i | ||||
\(65\) | −4.79559 | −0.594820 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.60168 | 0.928693 | 0.464346 | − | 0.885654i | \(-0.346289\pi\) | ||||
0.464346 | + | 0.885654i | \(0.346289\pi\) | |||||||
\(68\) | −1.36768 | + | 4.20928i | −0.165855 | + | 0.510451i | ||||
\(69\) | 5.74632 | − | 4.17495i | 0.691776 | − | 0.502605i | ||||
\(70\) | 0.187098 | + | 0.135935i | 0.0223625 | + | 0.0162473i | ||||
\(71\) | −0.855586 | − | 2.63322i | −0.101539 | − | 0.312506i | 0.887363 | − | 0.461071i | \(-0.152535\pi\) |
−0.988903 | + | 0.148565i | \(0.952535\pi\) | |||||||
\(72\) | −0.243415 | − | 0.749154i | −0.0286867 | − | 0.0882886i | ||||
\(73\) | 4.04881 | + | 2.94163i | 0.473877 | + | 0.344292i | 0.798950 | − | 0.601397i | \(-0.205389\pi\) |
−0.325073 | + | 0.945689i | \(0.605389\pi\) | |||||||
\(74\) | 2.02440 | − | 1.47081i | 0.235332 | − | 0.170979i | ||||
\(75\) | −0.494946 | + | 1.52329i | −0.0571514 | + | 0.175894i | ||||
\(76\) | 10.1833 | 1.16810 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −3.69380 | −0.418240 | ||||||||
\(79\) | −1.12012 | + | 3.44737i | −0.126023 | + | 0.387859i | −0.994086 | − | 0.108595i | \(-0.965365\pi\) |
0.868063 | + | 0.496454i | \(0.165365\pi\) | |||||||
\(80\) | −2.15675 | + | 1.56697i | −0.241132 | + | 0.175193i | ||||
\(81\) | 6.07348 | + | 4.41264i | 0.674831 | + | 0.490293i | ||||
\(82\) | 1.25591 | + | 3.86529i | 0.138692 | + | 0.426850i | ||||
\(83\) | −0.529838 | − | 1.63067i | −0.0581573 | − | 0.178990i | 0.917758 | − | 0.397141i | \(-0.129998\pi\) |
−0.975915 | + | 0.218151i | \(0.929998\pi\) | |||||||
\(84\) | −1.10218 | − | 0.800779i | −0.120257 | − | 0.0873721i | ||||
\(85\) | −2.02440 | + | 1.47081i | −0.219577 | + | 0.159532i | ||||
\(86\) | −1.26785 | + | 3.90204i | −0.136716 | + | 0.420767i | ||||
\(87\) | −14.4351 | −1.54761 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −15.7408 | −1.66852 | −0.834262 | − | 0.551368i | \(-0.814106\pi\) | ||||
−0.834262 | + | 0.551368i | \(0.814106\pi\) | |||||||
\(90\) | 0.0645880 | − | 0.198781i | 0.00680817 | − | 0.0209534i | ||||
\(91\) | 1.86576 | − | 1.35555i | 0.195585 | − | 0.142100i | ||||
\(92\) | 6.34566 | + | 4.61039i | 0.661581 | + | 0.480667i | ||||
\(93\) | −3.94576 | − | 12.1438i | −0.409156 | − | 1.25925i | ||||
\(94\) | −1.42687 | − | 4.39146i | −0.147171 | − | 0.452945i | ||||
\(95\) | 4.65783 | + | 3.38411i | 0.477883 | + | 0.347202i | ||||
\(96\) | −6.35817 | + | 4.61948i | −0.648928 | + | 0.471474i | ||||
\(97\) | −1.12420 | + | 3.45993i | −0.114145 | + | 0.351302i | −0.991768 | − | 0.128050i | \(-0.959128\pi\) |
0.877623 | + | 0.479352i | \(0.159128\pi\) | |||||||
\(98\) | 3.25509 | 0.328814 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.76873 | −0.176873 | ||||||||
\(101\) | 2.37895 | − | 7.32166i | 0.236715 | − | 0.728533i | −0.760175 | − | 0.649719i | \(-0.774887\pi\) |
0.996889 | − | 0.0788140i | \(-0.0251133\pi\) | |||||||
\(102\) | −1.55929 | + | 1.13289i | −0.154393 | + | 0.112173i | ||||
\(103\) | −7.36436 | − | 5.35052i | −0.725632 | − | 0.527202i | 0.162547 | − | 0.986701i | \(-0.448029\pi\) |
−0.888178 | + | 0.459499i | \(0.848029\pi\) | |||||||
\(104\) | −2.68581 | − | 8.26608i | −0.263365 | − | 0.810555i | ||||
\(105\) | −0.238020 | − | 0.732550i | −0.0232284 | − | 0.0714896i | ||||
\(106\) | 2.37345 | + | 1.72441i | 0.230530 | + | 0.167490i | ||||
\(107\) | −13.5844 | + | 9.86966i | −1.31326 | + | 0.954136i | −0.313266 | + | 0.949666i | \(0.601423\pi\) |
−0.999990 | + | 0.00447062i | \(0.998577\pi\) | |||||||
\(108\) | −3.00677 | + | 9.25388i | −0.289326 | + | 0.890455i | ||||
\(109\) | 17.8817 | 1.71276 | 0.856380 | − | 0.516346i | \(-0.172708\pi\) | ||||
0.856380 | + | 0.516346i | \(0.172708\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −8.33411 | −0.791039 | ||||||||
\(112\) | 0.396169 | − | 1.21928i | 0.0374344 | − | 0.115211i | ||||
\(113\) | 0.374196 | − | 0.271869i | 0.0352014 | − | 0.0255753i | −0.570045 | − | 0.821613i | \(-0.693074\pi\) |
0.605247 | + | 0.796038i | \(0.293074\pi\) | |||||||
\(114\) | 3.58769 | + | 2.60661i | 0.336018 | + | 0.244131i | ||||
\(115\) | 1.37037 | + | 4.21758i | 0.127788 | + | 0.393291i | ||||
\(116\) | −4.92594 | − | 15.1605i | −0.457362 | − | 1.40762i | ||||
\(117\) | −1.68622 | − | 1.22511i | −0.155891 | − | 0.113261i | ||||
\(118\) | 1.07720 | − | 0.782628i | 0.0991639 | − | 0.0720468i | ||||
\(119\) | 0.371858 | − | 1.14446i | 0.0340882 | − | 0.104913i | ||||
\(120\) | −2.90286 | −0.264994 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −1.93579 | −0.175258 | ||||||||
\(123\) | 4.18291 | − | 12.8737i | 0.377160 | − | 1.16078i | ||||
\(124\) | 11.4076 | − | 8.28807i | 1.02443 | − | 0.744291i | ||||
\(125\) | −0.809017 | − | 0.587785i | −0.0723607 | − | 0.0525731i | ||||
\(126\) | 0.0310604 | + | 0.0955941i | 0.00276708 | + | 0.00851620i | ||||
\(127\) | −4.89157 | − | 15.0547i | −0.434057 | − | 1.33589i | −0.894050 | − | 0.447968i | \(-0.852148\pi\) |
0.459993 | − | 0.887923i | \(-0.347852\pi\) | |||||||
\(128\) | −9.09569 | − | 6.60841i | −0.803953 | − | 0.584106i | ||||
\(129\) | 11.0551 | − | 8.03200i | 0.973347 | − | 0.707178i | ||||
\(130\) | 0.712656 | − | 2.19333i | 0.0625041 | − | 0.192368i | ||||
\(131\) | −9.60460 | −0.839158 | −0.419579 | − | 0.907719i | \(-0.637822\pi\) | ||||
−0.419579 | + | 0.907719i | \(0.637822\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.76873 | −0.240080 | ||||||||
\(134\) | −1.12966 | + | 3.47673i | −0.0975877 | + | 0.300344i | ||||
\(135\) | −4.45054 | + | 3.23350i | −0.383041 | + | 0.278296i | ||||
\(136\) | −3.66900 | − | 2.66569i | −0.314614 | − | 0.228581i | ||||
\(137\) | 1.22744 | + | 3.77768i | 0.104868 | + | 0.322749i | 0.989699 | − | 0.143161i | \(-0.0457268\pi\) |
−0.884832 | + | 0.465911i | \(0.845727\pi\) | |||||||
\(138\) | 1.05553 | + | 3.24859i | 0.0898526 | + | 0.276538i | ||||
\(139\) | 7.46034 | + | 5.42026i | 0.632778 | + | 0.459740i | 0.857362 | − | 0.514715i | \(-0.172102\pi\) |
−0.224583 | + | 0.974455i | \(0.572102\pi\) | |||||||
\(140\) | 0.688138 | − | 0.499962i | 0.0581583 | − | 0.0422545i | ||||
\(141\) | −4.75231 | + | 14.6261i | −0.400217 | + | 1.23174i | ||||
\(142\) | 1.33149 | 0.111736 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −1.15866 | −0.0965550 | ||||||||
\(145\) | 2.78501 | − | 8.57138i | 0.231282 | − | 0.711814i | ||||
\(146\) | −1.94707 | + | 1.41463i | −0.161141 | + | 0.117076i | ||||
\(147\) | −8.77083 | − | 6.37238i | −0.723406 | − | 0.525585i | ||||
\(148\) | −2.84399 | − | 8.75291i | −0.233775 | − | 0.719485i | ||||
\(149\) | −2.36402 | − | 7.27569i | −0.193668 | − | 0.596048i | −0.999990 | − | 0.00457087i | \(-0.998545\pi\) |
0.806322 | − | 0.591477i | \(-0.201455\pi\) | |||||||
\(150\) | −0.623145 | − | 0.452741i | −0.0508795 | − | 0.0369661i | ||||
\(151\) | −2.32348 | + | 1.68811i | −0.189082 | + | 0.137376i | −0.678299 | − | 0.734786i | \(-0.737283\pi\) |
0.489217 | + | 0.872162i | \(0.337283\pi\) | |||||||
\(152\) | −3.22448 | + | 9.92392i | −0.261540 | + | 0.804936i | ||||
\(153\) | −1.08756 | −0.0879240 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.97209 | 0.640334 | ||||||||
\(156\) | −4.19819 | + | 12.9207i | −0.336124 | + | 1.03448i | ||||
\(157\) | −14.1430 | + | 10.2755i | −1.12873 | + | 0.820071i | −0.985510 | − | 0.169620i | \(-0.945746\pi\) |
−0.143221 | + | 0.989691i | \(0.545746\pi\) | |||||||
\(158\) | −1.41024 | − | 1.02460i | −0.112193 | − | 0.0815130i | ||||
\(159\) | −3.01943 | − | 9.29284i | −0.239456 | − | 0.736970i | ||||
\(160\) | −1.51629 | − | 4.66665i | −0.119873 | − | 0.368931i | ||||
\(161\) | −1.72532 | − | 1.25352i | −0.135974 | − | 0.0987912i | ||||
\(162\) | −2.92074 | + | 2.12204i | −0.229475 | + | 0.166723i | ||||
\(163\) | 4.06884 | − | 12.5226i | 0.318696 | − | 0.980847i | −0.655510 | − | 0.755187i | \(-0.727546\pi\) |
0.974206 | − | 0.225660i | \(-0.0724538\pi\) | |||||||
\(164\) | 14.9480 | 1.16724 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.824549 | 0.0639974 | ||||||||
\(167\) | 4.90651 | − | 15.1007i | 0.379677 | − | 1.16853i | −0.560591 | − | 0.828093i | \(-0.689426\pi\) |
0.940268 | − | 0.340434i | \(-0.110574\pi\) | |||||||
\(168\) | 1.12938 | − | 0.820542i | 0.0871335 | − | 0.0633062i | ||||
\(169\) | −8.08828 | − | 5.87648i | −0.622176 | − | 0.452037i | ||||
\(170\) | −0.371858 | − | 1.14446i | −0.0285202 | − | 0.0877762i | ||||
\(171\) | 0.773253 | + | 2.37983i | 0.0591321 | + | 0.181990i | ||||
\(172\) | 12.2081 | + | 8.86974i | 0.930862 | + | 0.676311i | ||||
\(173\) | 18.4622 | − | 13.4136i | 1.40366 | − | 1.01982i | 0.409449 | − | 0.912333i | \(-0.365721\pi\) |
0.994207 | − | 0.107483i | \(-0.0342791\pi\) | |||||||
\(174\) | 2.14515 | − | 6.60210i | 0.162623 | − | 0.500504i | ||||
\(175\) | 0.480901 | 0.0363527 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.43462 | −0.333327 | ||||||||
\(178\) | 2.33919 | − | 7.19929i | 0.175330 | − | 0.539609i | ||||
\(179\) | 0.374196 | − | 0.271869i | 0.0279687 | − | 0.0203205i | −0.573713 | − | 0.819056i | \(-0.694498\pi\) |
0.601682 | + | 0.798736i | \(0.294498\pi\) | |||||||
\(180\) | −0.621919 | − | 0.451851i | −0.0463551 | − | 0.0336790i | ||||
\(181\) | −0.966735 | − | 2.97531i | −0.0718569 | − | 0.221153i | 0.908678 | − | 0.417498i | \(-0.137093\pi\) |
−0.980535 | + | 0.196345i | \(0.937093\pi\) | |||||||
\(182\) | 0.342717 | + | 1.05477i | 0.0254039 | + | 0.0781851i | ||||
\(183\) | 5.21598 | + | 3.78963i | 0.385576 | + | 0.280137i | ||||
\(184\) | −6.50228 | + | 4.72418i | −0.479354 | + | 0.348271i | ||||
\(185\) | 1.60793 | − | 4.94869i | 0.118217 | − | 0.363835i | ||||
\(186\) | 6.14050 | 0.450243 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −16.9828 | −1.23860 | ||||||||
\(189\) | 0.817509 | − | 2.51603i | 0.0594650 | − | 0.183015i | ||||
\(190\) | −2.23995 | + | 1.62742i | −0.162503 | + | 0.118066i | ||||
\(191\) | 4.39859 | + | 3.19576i | 0.318271 | + | 0.231237i | 0.735437 | − | 0.677593i | \(-0.236977\pi\) |
−0.417167 | + | 0.908830i | \(0.636977\pi\) | |||||||
\(192\) | 1.47103 | + | 4.52735i | 0.106162 | + | 0.326733i | ||||
\(193\) | 0.990941 | + | 3.04980i | 0.0713295 | + | 0.219530i | 0.980366 | − | 0.197187i | \(-0.0631807\pi\) |
−0.909036 | + | 0.416717i | \(0.863181\pi\) | |||||||
\(194\) | −1.41538 | − | 1.02834i | −0.101619 | − | 0.0738302i | ||||
\(195\) | −6.21405 | + | 4.51478i | −0.444998 | + | 0.323310i | ||||
\(196\) | 3.69958 | − | 11.3861i | 0.264256 | − | 0.813295i | ||||
\(197\) | −19.4048 | −1.38253 | −0.691267 | − | 0.722600i | \(-0.742947\pi\) | ||||
−0.691267 | + | 0.722600i | \(0.742947\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 20.3509 | 1.44264 | 0.721319 | − | 0.692603i | \(-0.243536\pi\) | ||||
0.721319 | + | 0.692603i | \(0.243536\pi\) | |||||||
\(200\) | 0.560059 | − | 1.72368i | 0.0396021 | − | 0.121883i | ||||
\(201\) | 9.85015 | − | 7.15655i | 0.694776 | − | 0.504784i | ||||
\(202\) | 2.99514 | + | 2.17609i | 0.210737 | + | 0.153109i | ||||
\(203\) | 1.33931 | + | 4.12198i | 0.0940014 | + | 0.289307i | ||||
\(204\) | 2.19058 | + | 6.74192i | 0.153372 | + | 0.472029i | ||||
\(205\) | 6.83720 | + | 4.96752i | 0.477531 | + | 0.346946i | ||||
\(206\) | 3.54153 | − | 2.57307i | 0.246750 | − | 0.179274i | ||||
\(207\) | −0.595597 | + | 1.83306i | −0.0413969 | + | 0.127407i | ||||
\(208\) | −12.7845 | −0.886446 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0.370413 | 0.0255610 | ||||||||
\(211\) | 2.12600 | − | 6.54314i | 0.146360 | − | 0.450448i | −0.850824 | − | 0.525451i | \(-0.823897\pi\) |
0.997183 | + | 0.0750027i | \(0.0238966\pi\) | |||||||
\(212\) | 8.72945 | − | 6.34231i | 0.599541 | − | 0.435592i | ||||
\(213\) | −3.58769 | − | 2.60661i | −0.245824 | − | 0.178602i | ||||
\(214\) | −2.49529 | − | 7.67972i | −0.170575 | − | 0.524975i | ||||
\(215\) | 2.63640 | + | 8.11401i | 0.179801 | + | 0.553371i | ||||
\(216\) | −8.06610 | − | 5.86036i | −0.548828 | − | 0.398747i | ||||
\(217\) | −3.10160 | + | 2.25344i | −0.210550 | + | 0.152974i | ||||
\(218\) | −2.65734 | + | 8.17847i | −0.179978 | + | 0.553916i | ||||
\(219\) | 8.01576 | 0.541655 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.0000 | −0.807207 | ||||||||
\(222\) | 1.23850 | − | 3.81172i | 0.0831229 | − | 0.255826i | ||||
\(223\) | 0.840273 | − | 0.610494i | 0.0562688 | − | 0.0408817i | −0.559295 | − | 0.828968i | \(-0.688928\pi\) |
0.615564 | + | 0.788087i | \(0.288928\pi\) | |||||||
\(224\) | 1.90903 | + | 1.38699i | 0.127552 | + | 0.0926721i | ||||
\(225\) | −0.134306 | − | 0.413352i | −0.00895375 | − | 0.0275568i | ||||
\(226\) | 0.0687352 | + | 0.211545i | 0.00457220 | + | 0.0140718i | ||||
\(227\) | −0.389057 | − | 0.282666i | −0.0258226 | − | 0.0187612i | 0.574799 | − | 0.818295i | \(-0.305080\pi\) |
−0.600622 | + | 0.799533i | \(0.705080\pi\) | |||||||
\(228\) | 13.1954 | − | 9.58699i | 0.873884 | − | 0.634914i | ||||
\(229\) | 4.18403 | − | 12.8771i | 0.276488 | − | 0.850944i | −0.712333 | − | 0.701841i | \(-0.752362\pi\) |
0.988822 | − | 0.149102i | \(-0.0476384\pi\) | |||||||
\(230\) | −2.13261 | −0.140620 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 16.3341 | 1.07239 | ||||||||
\(233\) | −6.53704 | + | 20.1189i | −0.428256 | + | 1.31803i | 0.471587 | + | 0.881820i | \(0.343681\pi\) |
−0.899842 | + | 0.436215i | \(0.856319\pi\) | |||||||
\(234\) | 0.810903 | − | 0.589155i | 0.0530104 | − | 0.0385143i | ||||
\(235\) | −7.76792 | − | 5.64373i | −0.506723 | − | 0.368156i | ||||
\(236\) | −1.51330 | − | 4.65747i | −0.0985077 | − | 0.303176i | ||||
\(237\) | 1.79407 | + | 5.52157i | 0.116537 | + | 0.358665i | ||||
\(238\) | 0.468175 | + | 0.340149i | 0.0303473 | + | 0.0220486i | ||||
\(239\) | −2.16525 | + | 1.57315i | −0.140058 | + | 0.101758i | −0.655608 | − | 0.755101i | \(-0.727588\pi\) |
0.515550 | + | 0.856860i | \(0.327588\pi\) | |||||||
\(240\) | −1.31947 | + | 4.06092i | −0.0851715 | + | 0.262131i | ||||
\(241\) | −4.56912 | −0.294323 | −0.147161 | − | 0.989112i | \(-0.547014\pi\) | ||||
−0.147161 | + | 0.989112i | \(0.547014\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −4.47932 | −0.287349 | ||||||||
\(244\) | −2.20013 | + | 6.77129i | −0.140849 | + | 0.433487i | ||||
\(245\) | 5.47602 | − | 3.97856i | 0.349850 | − | 0.254181i | ||||
\(246\) | 5.26635 | + | 3.82622i | 0.335770 | + | 0.243951i | ||||
\(247\) | 8.53198 | + | 26.2587i | 0.542877 | + | 1.67080i | ||||
\(248\) | 4.46484 | + | 13.7414i | 0.283518 | + | 0.872577i | ||||
\(249\) | −2.22174 | − | 1.61419i | −0.140797 | − | 0.102295i | ||||
\(250\) | 0.389057 | − | 0.282666i | 0.0246061 | − | 0.0178774i | ||||
\(251\) | −3.53421 | + | 10.8772i | −0.223078 | + | 0.686562i | 0.775403 | + | 0.631466i | \(0.217547\pi\) |
−0.998481 | + | 0.0550961i | \(0.982453\pi\) | |||||||
\(252\) | 0.369685 | 0.0232880 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 7.61241 | 0.477645 | ||||||||
\(255\) | −1.23850 | + | 3.81172i | −0.0775581 | + | 0.238699i | ||||
\(256\) | −0.434821 | + | 0.315916i | −0.0271763 | + | 0.0197448i | ||||
\(257\) | 16.2165 | + | 11.7820i | 1.01156 | + | 0.734940i | 0.964535 | − | 0.263954i | \(-0.0850268\pi\) |
0.0470224 | + | 0.998894i | \(0.485027\pi\) | |||||||
\(258\) | 2.03069 | + | 6.24981i | 0.126425 | + | 0.389096i | ||||
\(259\) | 0.773253 | + | 2.37983i | 0.0480476 | + | 0.147875i | ||||
\(260\) | −6.86218 | − | 4.98567i | −0.425574 | − | 0.309198i | ||||
\(261\) | 3.16895 | − | 2.30238i | 0.196153 | − | 0.142514i | ||||
\(262\) | 1.42731 | − | 4.39280i | 0.0881793 | − | 0.271388i | ||||
\(263\) | −6.55852 | −0.404416 | −0.202208 | − | 0.979343i | \(-0.564812\pi\) | ||||
−0.202208 | + | 0.979343i | \(0.564812\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.10051 | 0.374752 | ||||||||
\(266\) | 0.411452 | − | 1.26632i | 0.0252277 | − | 0.0776430i | ||||
\(267\) | −20.3967 | + | 14.8191i | −1.24826 | + | 0.906914i | ||||
\(268\) | 10.8775 | + | 7.90298i | 0.664450 | + | 0.482751i | ||||
\(269\) | 0.586253 | + | 1.80430i | 0.0357445 | + | 0.110010i | 0.967337 | − | 0.253495i | \(-0.0815800\pi\) |
−0.931592 | + | 0.363505i | \(0.881580\pi\) | |||||||
\(270\) | −0.817509 | − | 2.51603i | −0.0497520 | − | 0.153121i | ||||
\(271\) | −9.18567 | − | 6.67378i | −0.557989 | − | 0.405403i | 0.272733 | − | 0.962090i | \(-0.412072\pi\) |
−0.830723 | + | 0.556687i | \(0.812072\pi\) | |||||||
\(272\) | −5.39684 | + | 3.92103i | −0.327231 | + | 0.237747i | ||||
\(273\) | 1.14145 | − | 3.51301i | 0.0690835 | − | 0.212617i | ||||
\(274\) | −1.91018 | −0.115398 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 12.5630 | 0.756206 | ||||||||
\(277\) | −7.05609 | + | 21.7164i | −0.423959 | + | 1.30481i | 0.480028 | + | 0.877253i | \(0.340626\pi\) |
−0.903987 | + | 0.427559i | \(0.859374\pi\) | |||||||
\(278\) | −3.58769 | + | 2.60661i | −0.215175 | + | 0.156334i | ||||
\(279\) | 2.80313 | + | 2.03660i | 0.167819 | + | 0.121928i | ||||
\(280\) | 0.269333 | + | 0.828921i | 0.0160957 | + | 0.0495375i | ||||
\(281\) | 6.98735 | + | 21.5049i | 0.416830 | + | 1.28287i | 0.910603 | + | 0.413281i | \(0.135617\pi\) |
−0.493773 | + | 0.869591i | \(0.664383\pi\) | |||||||
\(282\) | −5.98323 | − | 4.34707i | −0.356296 | − | 0.258864i | ||||
\(283\) | −22.3019 | + | 16.2033i | −1.32571 | + | 0.963186i | −0.325869 | + | 0.945415i | \(0.605657\pi\) |
−0.999842 | + | 0.0177706i | \(0.994343\pi\) | |||||||
\(284\) | 1.51330 | − | 4.65747i | 0.0897981 | − | 0.276370i | ||||
\(285\) | 9.22149 | 0.546234 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.06421 | −0.239903 | ||||||||
\(288\) | 0.659014 | − | 2.02824i | 0.0388328 | − | 0.119515i | ||||
\(289\) | 8.68763 | − | 6.31193i | 0.511037 | − | 0.371290i | ||||
\(290\) | 3.50637 | + | 2.54753i | 0.205901 | + | 0.149596i | ||||
\(291\) | 1.80061 | + | 5.54169i | 0.105553 | + | 0.324860i | ||||
\(292\) | 2.73536 | + | 8.41857i | 0.160075 | + | 0.492659i | ||||
\(293\) | −17.6841 | − | 12.8482i | −1.03312 | − | 0.750603i | −0.0641861 | − | 0.997938i | \(-0.520445\pi\) |
−0.968930 | + | 0.247335i | \(0.920445\pi\) | |||||||
\(294\) | 4.21790 | − | 3.06448i | 0.245993 | − | 0.178724i | ||||
\(295\) | 0.855586 | − | 2.63322i | 0.0498141 | − | 0.153312i | ||||
\(296\) | 9.43050 | 0.548137 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.67895 | 0.213116 | ||||||||
\(299\) | −6.57175 | + | 20.2258i | −0.380054 | + | 1.16969i | ||||
\(300\) | −2.29190 | + | 1.66516i | −0.132323 | + | 0.0961382i | ||||
\(301\) | −3.31927 | − | 2.41159i | −0.191320 | − | 0.139002i | ||||
\(302\) | −0.426796 | − | 1.31354i | −0.0245593 | − | 0.0755859i | ||||
\(303\) | −3.81032 | − | 11.7270i | −0.218897 | − | 0.673696i | ||||
\(304\) | 12.4173 | + | 9.02166i | 0.712178 | + | 0.517428i | ||||
\(305\) | −3.25657 | + | 2.36604i | −0.186471 | + | 0.135479i | ||||
\(306\) | 0.161618 | − | 0.497410i | 0.00923911 | − | 0.0284351i | ||||
\(307\) | 9.80019 | 0.559326 | 0.279663 | − | 0.960098i | \(-0.409777\pi\) | ||||
0.279663 | + | 0.960098i | \(0.409777\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.5798 | −0.829418 | ||||||||
\(310\) | −1.18471 | + | 3.64615i | −0.0672867 | + | 0.207087i | ||||
\(311\) | −7.90496 | + | 5.74329i | −0.448249 | + | 0.325672i | −0.788904 | − | 0.614516i | \(-0.789351\pi\) |
0.340655 | + | 0.940188i | \(0.389351\pi\) | |||||||
\(312\) | −11.2623 | − | 8.18252i | −0.637601 | − | 0.463244i | ||||
\(313\) | −0.277236 | − | 0.853245i | −0.0156703 | − | 0.0482283i | 0.942916 | − | 0.333032i | \(-0.108072\pi\) |
−0.958586 | + | 0.284804i | \(0.908072\pi\) | |||||||
\(314\) | −2.59789 | − | 7.99548i | −0.146607 | − | 0.451211i | ||||
\(315\) | 0.169094 | + | 0.122854i | 0.00952734 | + | 0.00692202i | ||||
\(316\) | −5.18682 | + | 3.76845i | −0.291782 | + | 0.211992i | ||||
\(317\) | −0.824526 | + | 2.53763i | −0.0463100 | + | 0.142527i | −0.971538 | − | 0.236885i | \(-0.923874\pi\) |
0.925228 | + | 0.379412i | \(0.123874\pi\) | |||||||
\(318\) | 4.69891 | 0.263502 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −2.97209 | −0.166145 | ||||||||
\(321\) | −8.31077 | + | 25.5779i | −0.463862 | + | 1.42762i | ||||
\(322\) | 0.829709 | − | 0.602819i | 0.0462379 | − | 0.0335938i | ||||
\(323\) | 11.6553 | + | 8.46806i | 0.648517 | + | 0.471175i | ||||
\(324\) | 4.10322 | + | 12.6284i | 0.227957 | + | 0.701578i | ||||
\(325\) | −1.48192 | − | 4.56088i | −0.0822020 | − | 0.252992i | ||||
\(326\) | 5.12274 | + | 3.72188i | 0.283722 | + | 0.206136i | ||||
\(327\) | 23.1709 | − | 16.8347i | 1.28135 | − | 0.930958i | ||||
\(328\) | −4.73319 | + | 14.5673i | −0.261347 | + | 0.804343i | ||||
\(329\) | 4.61746 | 0.254569 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 18.9744 | 1.04293 | 0.521464 | − | 0.853273i | \(-0.325386\pi\) | ||||
0.521464 | + | 0.853273i | \(0.325386\pi\) | |||||||
\(332\) | 0.937143 | − | 2.88423i | 0.0514324 | − | 0.158293i | ||||
\(333\) | 1.82960 | − | 1.32928i | 0.100261 | − | 0.0728440i | ||||
\(334\) | 6.17737 | + | 4.48812i | 0.338011 | + | 0.245579i | ||||
\(335\) | 2.34905 | + | 7.22963i | 0.128342 | + | 0.394997i | ||||
\(336\) | −0.634535 | − | 1.95290i | −0.0346167 | − | 0.106539i | ||||
\(337\) | −3.87971 | − | 2.81878i | −0.211341 | − | 0.153549i | 0.477079 | − | 0.878860i | \(-0.341696\pi\) |
−0.688420 | + | 0.725312i | \(0.741696\pi\) | |||||||
\(338\) | 3.88966 | − | 2.82601i | 0.211570 | − | 0.153714i | ||||
\(339\) | 0.228928 | − | 0.704568i | 0.0124337 | − | 0.0382669i | ||||
\(340\) | −4.42590 | −0.240028 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −1.20336 | −0.0650702 | ||||||||
\(343\) | −2.04612 | + | 6.29732i | −0.110480 | + | 0.340023i | ||||
\(344\) | −12.5095 | + | 9.08865i | −0.674464 | + | 0.490027i | ||||
\(345\) | 5.74632 | + | 4.17495i | 0.309372 | + | 0.224772i | ||||
\(346\) | 3.39128 | + | 10.4373i | 0.182317 | + | 0.561113i | ||||
\(347\) | 0.0798714 | + | 0.245819i | 0.00428772 | + | 0.0131962i | 0.953177 | − | 0.302411i | \(-0.0977917\pi\) |
−0.948890 | + | 0.315608i | \(0.897792\pi\) | |||||||
\(348\) | −20.6557 | − | 15.0073i | −1.10726 | − | 0.804473i | ||||
\(349\) | 1.08805 | − | 0.790517i | 0.0582421 | − | 0.0423154i | −0.558283 | − | 0.829650i | \(-0.688540\pi\) |
0.616525 | + | 0.787335i | \(0.288540\pi\) | |||||||
\(350\) | −0.0714650 | + | 0.219947i | −0.00381997 | + | 0.0117566i | ||||
\(351\) | −26.3813 | −1.40813 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 35.4537 | 1.88701 | 0.943506 | − | 0.331355i | \(-0.107506\pi\) | ||||
0.943506 | + | 0.331355i | \(0.107506\pi\) | |||||||
\(354\) | 0.659014 | − | 2.02824i | 0.0350262 | − | 0.107800i | ||||
\(355\) | 2.23995 | − | 1.62742i | 0.118884 | − | 0.0863745i | ||||
\(356\) | −22.5241 | − | 16.3647i | −1.19378 | − | 0.867329i | ||||
\(357\) | −0.595597 | − | 1.83306i | −0.0315224 | − | 0.0970158i | ||||
\(358\) | 0.0687352 | + | 0.211545i | 0.00363277 | + | 0.0111805i | ||||
\(359\) | −6.34404 | − | 4.60922i | −0.334826 | − | 0.243265i | 0.407650 | − | 0.913138i | \(-0.366348\pi\) |
−0.742476 | + | 0.669873i | \(0.766348\pi\) | |||||||
\(360\) | 0.637268 | − | 0.463003i | 0.0335870 | − | 0.0244024i | ||||
\(361\) | 4.37183 | − | 13.4551i | 0.230096 | − | 0.708164i | ||||
\(362\) | 1.50446 | 0.0790727 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.07906 | 0.213801 | ||||||||
\(365\) | −1.54651 | + | 4.75966i | −0.0809478 | + | 0.249132i | ||||
\(366\) | −2.50837 | + | 1.82244i | −0.131115 | + | 0.0952603i | ||||
\(367\) | −0.862850 | − | 0.626897i | −0.0450404 | − | 0.0327238i | 0.565037 | − | 0.825065i | \(-0.308862\pi\) |
−0.610078 | + | 0.792342i | \(0.708862\pi\) | |||||||
\(368\) | 3.65327 | + | 11.2436i | 0.190440 | + | 0.586113i | ||||
\(369\) | 1.13505 | + | 3.49334i | 0.0590886 | + | 0.181856i | ||||
\(370\) | 2.02440 | + | 1.47081i | 0.105244 | + | 0.0764640i | ||||
\(371\) | −2.37345 | + | 1.72441i | −0.123223 | + | 0.0895269i | ||||
\(372\) | 6.97899 | − | 21.4791i | 0.361844 | − | 1.11364i | ||||
\(373\) | 37.6388 | 1.94886 | 0.974431 | − | 0.224689i | \(-0.0721366\pi\) | ||||
0.974431 | + | 0.224689i | \(0.0721366\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.60168 | −0.0827104 | ||||||||
\(376\) | 5.37750 | − | 16.5503i | 0.277324 | − | 0.853514i | ||||
\(377\) | 34.9658 | − | 25.4042i | 1.80083 | − | 1.30838i | ||||
\(378\) | 1.02926 | + | 0.747799i | 0.0529392 | + | 0.0384626i | ||||
\(379\) | 10.8612 | + | 33.4273i | 0.557902 | + | 1.71705i | 0.688154 | + | 0.725564i | \(0.258421\pi\) |
−0.130253 | + | 0.991481i | \(0.541579\pi\) | |||||||
\(380\) | 3.14681 | + | 9.68489i | 0.161428 | + | 0.496824i | ||||
\(381\) | −20.5116 | − | 14.9025i | −1.05084 | − | 0.763481i | ||||
\(382\) | −2.11529 | + | 1.53684i | −0.108227 | + | 0.0786318i | ||||
\(383\) | 0.254800 | − | 0.784193i | 0.0130197 | − | 0.0400704i | −0.944336 | − | 0.328984i | \(-0.893294\pi\) |
0.957355 | + | 0.288913i | \(0.0932939\pi\) | |||||||
\(384\) | −18.0075 | −0.918942 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.54213 | −0.0784924 | ||||||||
\(387\) | −1.14584 | + | 3.52655i | −0.0582465 | + | 0.179264i | ||||
\(388\) | −5.20572 | + | 3.78218i | −0.264280 | + | 0.192011i | ||||
\(389\) | −3.91861 | − | 2.84704i | −0.198682 | − | 0.144351i | 0.483996 | − | 0.875070i | \(-0.339185\pi\) |
−0.682678 | + | 0.730719i | \(0.739185\pi\) | |||||||
\(390\) | −1.14145 | − | 3.51301i | −0.0577994 | − | 0.177888i | ||||
\(391\) | 3.42909 | + | 10.5536i | 0.173416 | + | 0.533721i | ||||
\(392\) | 9.92467 | + | 7.21070i | 0.501272 | + | 0.364195i | ||||
\(393\) | −12.4455 | + | 9.04218i | −0.627792 | + | 0.456118i | ||||
\(394\) | 2.88368 | − | 8.87505i | 0.145278 | − | 0.447119i | ||||
\(395\) | −3.62478 | −0.182382 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.33178 | −0.367971 | −0.183986 | − | 0.982929i | \(-0.558900\pi\) | ||||
−0.183986 | + | 0.982929i | \(0.558900\pi\) | |||||||
\(398\) | −3.02428 | + | 9.30777i | −0.151593 | + | 0.466556i | ||||
\(399\) | −3.58769 | + | 2.60661i | −0.179609 | + | 0.130494i | ||||
\(400\) | −2.15675 | − | 1.56697i | −0.107838 | − | 0.0783485i | ||||
\(401\) | −9.62584 | − | 29.6253i | −0.480692 | − | 1.47942i | −0.838125 | − | 0.545478i | \(-0.816348\pi\) |
0.357434 | − | 0.933939i | \(-0.383652\pi\) | |||||||
\(402\) | 1.80935 | + | 5.56861i | 0.0902423 | + | 0.277737i | ||||
\(403\) | 30.9294 | + | 22.4715i | 1.54070 | + | 1.11939i | ||||
\(404\) | 11.0160 | − | 8.00359i | 0.548066 | − | 0.398193i | ||||
\(405\) | −2.31986 | + | 7.13980i | −0.115275 | + | 0.354780i | ||||
\(406\) | −2.08428 | −0.103441 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −7.26384 | −0.359613 | ||||||||
\(409\) | 2.23484 | − | 6.87813i | 0.110506 | − | 0.340102i | −0.880477 | − | 0.474088i | \(-0.842778\pi\) |
0.990983 | + | 0.133986i | \(0.0427779\pi\) | |||||||
\(410\) | −3.28802 | + | 2.38888i | −0.162384 | + | 0.117979i | ||||
\(411\) | 5.14698 | + | 3.73950i | 0.253882 | + | 0.184456i | ||||
\(412\) | −4.97533 | − | 15.3125i | −0.245117 | − | 0.754393i | ||||
\(413\) | 0.411452 | + | 1.26632i | 0.0202462 | + | 0.0623115i | ||||
\(414\) | −0.749866 | − | 0.544810i | −0.0368539 | − | 0.0267759i | ||||
\(415\) | 1.38713 | − | 1.00781i | 0.0680918 | − | 0.0494716i | ||||
\(416\) | 7.27148 | − | 22.3793i | 0.356514 | − | 1.09724i | ||||
\(417\) | 14.7699 | 0.723284 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.30620 | −0.112665 | −0.0563327 | − | 0.998412i | \(-0.517941\pi\) | ||||
−0.0563327 | + | 0.998412i | \(0.517941\pi\) | |||||||
\(420\) | 0.420994 | − | 1.29569i | 0.0205424 | − | 0.0632230i | ||||
\(421\) | −5.37024 | + | 3.90171i | −0.261730 | + | 0.190158i | −0.710909 | − | 0.703284i | \(-0.751716\pi\) |
0.449180 | + | 0.893441i | \(0.351716\pi\) | |||||||
\(422\) | 2.67666 | + | 1.94471i | 0.130298 | + | 0.0946669i | ||||
\(423\) | −1.28956 | − | 3.96887i | −0.0627008 | − | 0.192973i | ||||
\(424\) | 3.41665 | + | 10.5154i | 0.165927 | + | 0.510671i | ||||
\(425\) | −2.02440 | − | 1.47081i | −0.0981980 | − | 0.0713450i | ||||
\(426\) | 1.72532 | − | 1.25352i | 0.0835921 | − | 0.0607332i | ||||
\(427\) | 0.598192 | − | 1.84105i | 0.0289485 | − | 0.0890944i | ||||
\(428\) | −29.6993 | −1.43557 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.10284 | −0.197857 | ||||||||
\(431\) | 10.1491 | − | 31.2357i | 0.488865 | − | 1.50457i | −0.337439 | − | 0.941347i | \(-0.609561\pi\) |
0.826304 | − | 0.563224i | \(-0.190439\pi\) | |||||||
\(432\) | −11.8646 | + | 8.62016i | −0.570838 | + | 0.414738i | ||||
\(433\) | −1.91091 | − | 1.38836i | −0.0918326 | − | 0.0667203i | 0.540922 | − | 0.841073i | \(-0.318076\pi\) |
−0.632754 | + | 0.774353i | \(0.718076\pi\) | |||||||
\(434\) | −0.569726 | − | 1.75344i | −0.0273477 | − | 0.0841676i | ||||
\(435\) | −4.46069 | − | 13.7286i | −0.213874 | − | 0.658236i | ||||
\(436\) | 25.5876 | + | 18.5905i | 1.22543 | + | 0.890324i | ||||
\(437\) | 20.6557 | − | 15.0073i | 0.988097 | − | 0.717894i | ||||
\(438\) | −1.19119 | + | 3.66612i | −0.0569175 | + | 0.175174i | ||||
\(439\) | −30.8847 | −1.47404 | −0.737022 | − | 0.675869i | \(-0.763769\pi\) | ||||
−0.737022 | + | 0.675869i | \(0.763769\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.94185 | 0.140088 | ||||||||
\(442\) | 1.78328 | − | 5.48837i | 0.0848219 | − | 0.261055i | ||||
\(443\) | 11.1440 | − | 8.09662i | 0.529470 | − | 0.384682i | −0.290690 | − | 0.956817i | \(-0.593885\pi\) |
0.820159 | + | 0.572135i | \(0.193885\pi\) | |||||||
\(444\) | −11.9256 | − | 8.66444i | −0.565963 | − | 0.411196i | ||||
\(445\) | −4.86418 | − | 14.9704i | −0.230584 | − | 0.709666i | ||||
\(446\) | 0.154348 | + | 0.475034i | 0.00730858 | + | 0.0224935i | ||||
\(447\) | −9.91291 | − | 7.20215i | −0.468865 | − | 0.340650i | ||||
\(448\) | 1.15631 | − | 0.840111i | 0.0546307 | − | 0.0396915i | ||||
\(449\) | −12.0258 | + | 37.0116i | −0.567532 | + | 1.74668i | 0.0927733 | + | 0.995687i | \(0.470427\pi\) |
−0.660305 | + | 0.750997i | \(0.729573\pi\) | |||||||
\(450\) | 0.209011 | 0.00985288 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0.818095 | 0.0384800 | ||||||||
\(453\) | −1.42148 | + | 4.37486i | −0.0667868 | + | 0.205549i | ||||
\(454\) | 0.187098 | − | 0.135935i | 0.00878094 | − | 0.00637973i | ||||
\(455\) | 1.86576 | + | 1.35555i | 0.0874681 | + | 0.0635493i | ||||
\(456\) | 5.16458 | + | 15.8949i | 0.241853 | + | 0.744348i | ||||
\(457\) | 0.411452 | + | 1.26632i | 0.0192469 | + | 0.0592359i | 0.960219 | − | 0.279249i | \(-0.0900855\pi\) |
−0.940972 | + | 0.338485i | \(0.890086\pi\) | |||||||
\(458\) | 5.26775 | + | 3.82725i | 0.246146 | + | 0.178836i | ||||
\(459\) | −11.1366 | + | 8.09120i | −0.519811 | + | 0.377665i | ||||
\(460\) | −2.42383 | + | 7.45977i | −0.113012 | + | 0.347814i | ||||
\(461\) | 5.73993 | 0.267335 | 0.133668 | − | 0.991026i | \(-0.457325\pi\) | ||||
0.133668 | + | 0.991026i | \(0.457325\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.44535 | −0.160119 | −0.0800595 | − | 0.996790i | \(-0.525511\pi\) | ||||
−0.0800595 | + | 0.996790i | \(0.525511\pi\) | |||||||
\(464\) | 7.42453 | − | 22.8503i | 0.344675 | − | 1.06080i | ||||
\(465\) | 10.3301 | − | 7.50527i | 0.479048 | − | 0.348049i | ||||
\(466\) | −8.23023 | − | 5.97961i | −0.381258 | − | 0.277000i | ||||
\(467\) | −8.41034 | − | 25.8843i | −0.389184 | − | 1.19778i | −0.933399 | − | 0.358839i | \(-0.883173\pi\) |
0.544215 | − | 0.838946i | \(-0.316827\pi\) | |||||||
\(468\) | −1.13920 | − | 3.50610i | −0.0526596 | − | 0.162070i | ||||
\(469\) | −2.95749 | − | 2.14874i | −0.136564 | − | 0.0992196i | ||||
\(470\) | 3.73560 | − | 2.71407i | 0.172310 | − | 0.125191i | ||||
\(471\) | −8.65248 | + | 26.6296i | −0.398685 | + | 1.22703i | ||||
\(472\) | 5.01802 | 0.230973 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −2.79198 | −0.128240 | ||||||||
\(475\) | −1.77913 | + | 5.47560i | −0.0816321 | + | 0.251238i | ||||
\(476\) | 1.72193 | − | 1.25105i | 0.0789245 | − | 0.0573420i | ||||
\(477\) | 2.14505 | + | 1.55847i | 0.0982152 | + | 0.0713575i | ||||
\(478\) | −0.397730 | − | 1.22409i | −0.0181917 | − | 0.0559884i | ||||
\(479\) | 4.32073 | + | 13.2978i | 0.197419 | + | 0.607593i | 0.999940 | + | 0.0109692i | \(0.00349166\pi\) |
−0.802521 | + | 0.596624i | \(0.796508\pi\) | |||||||
\(480\) | −6.35817 | − | 4.61948i | −0.290209 | − | 0.210849i | ||||
\(481\) | 20.1875 | − | 14.6671i | 0.920472 | − | 0.668762i | ||||
\(482\) | 0.679001 | − | 2.08975i | 0.0309277 | − | 0.0951855i | ||||
\(483\) | −3.41576 | −0.155423 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.63798 | −0.165192 | ||||||||
\(486\) | 0.665657 | − | 2.04868i | 0.0301948 | − | 0.0929300i | ||||
\(487\) | 6.03021 | − | 4.38120i | 0.273255 | − | 0.198531i | −0.442715 | − | 0.896662i | \(-0.645985\pi\) |
0.715970 | + | 0.698131i | \(0.245985\pi\) | |||||||
\(488\) | −5.90216 | − | 4.28817i | −0.267178 | − | 0.194116i | ||||
\(489\) | −6.51698 | − | 20.0572i | −0.294708 | − | 0.907018i | ||||
\(490\) | 1.00588 | + | 3.09578i | 0.0454409 | + | 0.139853i | ||||
\(491\) | 12.9245 | + | 9.39022i | 0.583276 | + | 0.423775i | 0.839904 | − | 0.542736i | \(-0.182611\pi\) |
−0.256628 | + | 0.966510i | \(0.582611\pi\) | |||||||
\(492\) | 19.3694 | − | 14.0727i | 0.873240 | − | 0.634446i | ||||
\(493\) | 6.96893 | − | 21.4482i | 0.313865 | − | 0.965976i | ||||
\(494\) | −13.2777 | −0.597392 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 21.2527 | 0.954275 | ||||||||
\(497\) | −0.411452 | + | 1.26632i | −0.0184561 | + | 0.0568022i | ||||
\(498\) | 1.06844 | − | 0.776266i | 0.0478779 | − | 0.0347853i | ||||
\(499\) | 19.7003 | + | 14.3131i | 0.881906 | + | 0.640742i | 0.933755 | − | 0.357913i | \(-0.116511\pi\) |
−0.0518489 | + | 0.998655i | \(0.516511\pi\) | |||||||
\(500\) | −0.546569 | − | 1.68217i | −0.0244433 | − | 0.0752288i | ||||
\(501\) | −7.85866 | − | 24.1865i | −0.351099 | − | 1.08057i | ||||
\(502\) | −4.44963 | − | 3.23284i | −0.198597 | − | 0.144289i | ||||
\(503\) | −22.3019 | + | 16.2033i | −0.994393 | + | 0.722469i | −0.960879 | − | 0.276969i | \(-0.910670\pi\) |
−0.0335144 | + | 0.999438i | \(0.510670\pi\) | |||||||
\(504\) | −0.117058 | + | 0.360269i | −0.00521420 | + | 0.0160477i | ||||
\(505\) | 7.69845 | 0.342577 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −16.0131 | −0.711165 | ||||||||
\(508\) | 8.65190 | − | 26.6278i | 0.383866 | − | 1.18142i | ||||
\(509\) | −14.3075 | + | 10.3950i | −0.634168 | + | 0.460750i | −0.857842 | − | 0.513914i | \(-0.828195\pi\) |
0.223674 | + | 0.974664i | \(0.428195\pi\) | |||||||
\(510\) | −1.55929 | − | 1.13289i | −0.0690467 | − | 0.0501654i | ||||
\(511\) | −0.743716 | − | 2.28892i | −0.0329001 | − | 0.101256i | ||||
\(512\) | −7.02836 | − | 21.6311i | −0.310613 | − | 0.955967i | ||||
\(513\) | 25.6235 | + | 18.6165i | 1.13130 | + | 0.821941i | ||||
\(514\) | −7.79853 | + | 5.66596i | −0.343978 | + | 0.249915i | ||||
\(515\) | 2.81293 | − | 8.65732i | 0.123953 | − | 0.381487i | ||||
\(516\) | 24.1695 | 1.06400 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −1.20336 | −0.0528725 | ||||||||
\(519\) | 11.2949 | − | 34.7623i | 0.495793 | − | 1.52589i | ||||
\(520\) | 7.03154 | − | 5.10872i | 0.308354 | − | 0.224032i | ||||
\(521\) | 4.36054 | + | 3.16812i | 0.191039 | + | 0.138798i | 0.679193 | − | 0.733959i | \(-0.262330\pi\) |
−0.488155 | + | 0.872757i | \(0.662330\pi\) | |||||||
\(522\) | 0.582098 | + | 1.79151i | 0.0254777 | + | 0.0784124i | ||||
\(523\) | −11.6418 | − | 35.8298i | −0.509061 | − | 1.56673i | −0.793835 | − | 0.608133i | \(-0.791919\pi\) |
0.284775 | − | 0.958595i | \(-0.408081\pi\) | |||||||
\(524\) | −13.7436 | − | 9.98528i | −0.600390 | − | 0.436209i | ||||
\(525\) | 0.623145 | − | 0.452741i | 0.0271963 | − | 0.0197592i | ||||
\(526\) | 0.974639 | − | 2.99963i | 0.0424963 | − | 0.130790i | ||||
\(527\) | 19.9486 | 0.868973 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.33411 | −0.144961 | ||||||||
\(530\) | −0.906576 | + | 2.79016i | −0.0393792 | + | 0.121197i | ||||
\(531\) | 0.973537 | − | 0.707316i | 0.0422479 | − | 0.0306949i | ||||
\(532\) | −3.96188 | − | 2.87848i | −0.171769 | − | 0.124798i | ||||
\(533\) | 12.5241 | + | 38.5451i | 0.542477 | + | 1.66957i | ||||
\(534\) | −3.74663 | − | 11.5309i | −0.162133 | − | 0.498993i | ||||
\(535\) | −13.5844 | − | 9.86966i | −0.587306 | − | 0.426703i | ||||
\(536\) | −11.1460 | + | 8.09803i | −0.481433 | + | 0.349782i | ||||
\(537\) | 0.228928 | − | 0.704568i | 0.00987898 | − | 0.0304044i | ||||
\(538\) | −0.912344 | −0.0393339 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −9.73010 | −0.418717 | ||||||||
\(541\) | −8.95070 | + | 27.5474i | −0.384821 | + | 1.18436i | 0.551789 | + | 0.833983i | \(0.313945\pi\) |
−0.936610 | + | 0.350373i | \(0.886055\pi\) | |||||||
\(542\) | 4.41739 | − | 3.20943i | 0.189743 | − | 0.137857i | ||||
\(543\) | −4.05376 | − | 2.94523i | −0.173964 | − | 0.126392i | ||||
\(544\) | −3.79420 | − | 11.6774i | −0.162675 | − | 0.500662i | ||||
\(545\) | 5.52576 | + | 17.0066i | 0.236698 | + | 0.728481i | ||||
\(546\) | 1.43710 | + | 1.04411i | 0.0615021 | + | 0.0446839i | ||||
\(547\) | −15.9696 | + | 11.6026i | −0.682812 | + | 0.496092i | −0.874289 | − | 0.485405i | \(-0.838672\pi\) |
0.191477 | + | 0.981497i | \(0.438672\pi\) | |||||||
\(548\) | −2.17102 | + | 6.68172i | −0.0927415 | + | 0.285429i | ||||
\(549\) | −1.74951 | −0.0746672 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −51.8884 | −2.21052 | ||||||||
\(552\) | −3.97801 | + | 12.2431i | −0.169315 | + | 0.521099i | ||||
\(553\) | 1.41024 | − | 1.02460i | 0.0599697 | − | 0.0435705i | ||||
\(554\) | −8.88372 | − | 6.45440i | −0.377433 | − | 0.274221i | ||||
\(555\) | −2.57538 | − | 7.92621i | −0.109319 | − | 0.336449i | ||||
\(556\) | 5.04018 | + | 15.5121i | 0.213751 | + | 0.657859i | ||||
\(557\) | 13.4944 | + | 9.80429i | 0.571778 | + | 0.415421i | 0.835751 | − | 0.549109i | \(-0.185033\pi\) |
−0.263973 | + | 0.964530i | \(0.585033\pi\) | |||||||
\(558\) | −1.34803 | + | 0.979400i | −0.0570666 | + | 0.0414613i | ||||
\(559\) | −12.6431 | + | 38.9115i | −0.534746 | + | 1.64578i | ||||
\(560\) | 1.28203 | 0.0541756 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −10.8739 | −0.458688 | ||||||||
\(563\) | 1.51629 | − | 4.66665i | 0.0639038 | − | 0.196676i | −0.914007 | − | 0.405699i | \(-0.867028\pi\) |
0.977911 | + | 0.209023i | \(0.0670283\pi\) | |||||||
\(564\) | −22.0061 | + | 15.9884i | −0.926624 | + | 0.673232i | ||||
\(565\) | 0.374196 | + | 0.271869i | 0.0157425 | + | 0.0114376i | ||||
\(566\) | −4.09659 | − | 12.6080i | −0.172193 | − | 0.529954i | ||||
\(567\) | −1.11562 | − | 3.43354i | −0.0468518 | − | 0.144195i | ||||
\(568\) | 4.05966 | + | 2.94952i | 0.170340 | + | 0.123759i | ||||
\(569\) | −18.1490 | + | 13.1860i | −0.760846 | + | 0.552787i | −0.899170 | − | 0.437600i | \(-0.855829\pi\) |
0.138324 | + | 0.990387i | \(0.455829\pi\) | |||||||
\(570\) | −1.37037 | + | 4.21758i | −0.0573987 | + | 0.176655i | ||||
\(571\) | −0.195590 | −0.00818520 | −0.00409260 | − | 0.999992i | \(-0.501303\pi\) | ||||
−0.00409260 | + | 0.999992i | \(0.501303\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 8.70826 | 0.363793 | ||||||||
\(574\) | 0.603968 | − | 1.85882i | 0.0252092 | − | 0.0775858i | ||||
\(575\) | −3.58769 | + | 2.60661i | −0.149617 | + | 0.108703i | ||||
\(576\) | −1.04504 | − | 0.759267i | −0.0435434 | − | 0.0316361i | ||||
\(577\) | −12.7464 | − | 39.2292i | −0.530638 | − | 1.63313i | −0.752891 | − | 0.658145i | \(-0.771341\pi\) |
0.222253 | − | 0.974989i | \(-0.428659\pi\) | |||||||
\(578\) | 1.59581 | + | 4.91140i | 0.0663770 | + | 0.204287i | ||||
\(579\) | 4.15527 | + | 3.01898i | 0.172687 | + | 0.125464i | ||||
\(580\) | 12.8963 | − | 9.36970i | 0.535489 | − | 0.389056i | ||||
\(581\) | −0.254800 | + | 0.784193i | −0.0105709 | + | 0.0325338i | ||||
\(582\) | −2.80215 | −0.116153 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −9.07028 | −0.375331 | ||||||||
\(585\) | 0.644077 | − | 1.98227i | 0.0266293 | − | 0.0819566i | ||||
\(586\) | 8.50430 | − | 6.17874i | 0.351309 | − | 0.255241i | ||||
\(587\) | 1.43584 | + | 1.04320i | 0.0592636 | + | 0.0430575i | 0.617023 | − | 0.786945i | \(-0.288339\pi\) |
−0.557759 | + | 0.830003i | \(0.688339\pi\) | |||||||
\(588\) | −5.92554 | − | 18.2369i | −0.244365 | − | 0.752079i | ||||
\(589\) | −14.1834 | − | 43.6520i | −0.584417 | − | 1.79865i | ||||
\(590\) | 1.07720 | + | 0.782628i | 0.0443474 | + | 0.0322203i | ||||
\(591\) | −25.1444 | + | 18.2685i | −1.03430 | + | 0.751466i | ||||
\(592\) | 4.28655 | − | 13.1927i | 0.176176 | − | 0.542215i | ||||
\(593\) | 29.0094 | 1.19127 | 0.595636 | − | 0.803254i | \(-0.296900\pi\) | ||||
0.595636 | + | 0.803254i | \(0.296900\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.20336 | 0.0493329 | ||||||||
\(596\) | 4.18132 | − | 12.8688i | 0.171273 | − | 0.527125i | ||||
\(597\) | 26.3704 | − | 19.1592i | 1.07927 | − | 0.784135i | ||||
\(598\) | −8.27393 | − | 6.01136i | −0.338346 | − | 0.245823i | ||||
\(599\) | 12.4432 | + | 38.2964i | 0.508417 | + | 1.56475i | 0.794949 | + | 0.606676i | \(0.207498\pi\) |
−0.286532 | + | 0.958071i | \(0.592502\pi\) | |||||||
\(600\) | −0.897034 | − | 2.76079i | −0.0366213 | − | 0.112709i | ||||
\(601\) | −11.0801 | − | 8.05015i | −0.451966 | − | 0.328372i | 0.338406 | − | 0.941000i | \(-0.390112\pi\) |
−0.790371 | + | 0.612628i | \(0.790112\pi\) | |||||||
\(602\) | 1.59624 | − | 1.15974i | 0.0650579 | − | 0.0472673i | ||||
\(603\) | −1.02095 | + | 3.14217i | −0.0415764 | + | 0.127959i | ||||
\(604\) | −5.07978 | −0.206693 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 5.92972 | 0.240879 | ||||||||
\(607\) | −6.53704 | + | 20.1189i | −0.265330 | + | 0.816602i | 0.726287 | + | 0.687392i | \(0.241244\pi\) |
−0.991617 | + | 0.129211i | \(0.958756\pi\) | |||||||
\(608\) | −22.8550 | + | 16.6052i | −0.926894 | + | 0.673428i | ||||
\(609\) | 5.61608 | + | 4.08032i | 0.227575 | + | 0.165343i | ||||
\(610\) | −0.598192 | − | 1.84105i | −0.0242201 | − | 0.0745417i | ||||
\(611\) | −14.2289 | − | 43.7921i | −0.575640 | − | 1.77164i | ||||
\(612\) | −1.55623 | − | 1.13067i | −0.0629068 | − | 0.0457045i | ||||
\(613\) | −18.8113 | + | 13.6672i | −0.759780 | + | 0.552012i | −0.898843 | − | 0.438271i | \(-0.855591\pi\) |
0.139063 | + | 0.990284i | \(0.455591\pi\) | |||||||
\(614\) | −1.45637 | + | 4.48225i | −0.0587744 | + | 0.180889i | ||||
\(615\) | 13.5362 | 0.545831 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.1028 | −0.527501 | −0.263750 | − | 0.964591i | \(-0.584960\pi\) | ||||
−0.263750 | + | 0.964591i | \(0.584960\pi\) | |||||||
\(618\) | 2.16666 | − | 6.66829i | 0.0871558 | − | 0.268238i | ||||
\(619\) | −13.4849 | + | 9.79733i | −0.542003 | + | 0.393788i | −0.824828 | − | 0.565383i | \(-0.808728\pi\) |
0.282825 | + | 0.959171i | \(0.408728\pi\) | |||||||
\(620\) | 11.4076 | + | 8.28807i | 0.458138 | + | 0.332857i | ||||
\(621\) | 7.53866 | + | 23.2016i | 0.302516 | + | 0.931048i | ||||
\(622\) | −1.45204 | − | 4.46893i | −0.0582217 | − | 0.179188i | ||||
\(623\) | 6.12408 | + | 4.44940i | 0.245356 | + | 0.178262i | ||||
\(624\) | −16.5660 | + | 12.0359i | −0.663170 | + | 0.481821i | ||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | 0.431443 | 0.0172439 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −30.9204 | −1.23386 | ||||||||
\(629\) | 4.02351 | − | 12.3831i | 0.160428 | − | 0.493747i | ||||
\(630\) | −0.0813172 | + | 0.0590804i | −0.00323976 | + | 0.00235382i | ||||
\(631\) | 2.15486 | + | 1.56560i | 0.0857838 | + | 0.0623256i | 0.629850 | − | 0.776716i | \(-0.283116\pi\) |
−0.544067 | + | 0.839042i | \(0.683116\pi\) | |||||||
\(632\) | −2.03009 | − | 6.24796i | −0.0807525 | − | 0.248531i | ||||
\(633\) | −3.40516 | − | 10.4800i | −0.135343 | − | 0.416543i | ||||
\(634\) | −1.03809 | − | 0.754217i | −0.0412278 | − | 0.0299538i | ||||
\(635\) | 12.8063 | − | 9.30433i | 0.508203 | − | 0.369231i | ||||
\(636\) | 5.34056 | − | 16.4366i | 0.211767 | − | 0.651752i | ||||
\(637\) | 32.4601 | 1.28611 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.20336 | 0.0476041 | ||||||||
\(640\) | 3.47424 | − | 10.6926i | 0.137332 | − | 0.422663i | ||||
\(641\) | 0.374196 | − | 0.271869i | 0.0147798 | − | 0.0107382i | −0.580371 | − | 0.814352i | \(-0.697092\pi\) |
0.595151 | + | 0.803614i | \(0.297092\pi\) | |||||||
\(642\) | −10.4634 | − | 7.60210i | −0.412957 | − | 0.300031i | ||||
\(643\) | −10.3404 | − | 31.8244i | −0.407784 | − | 1.25503i | −0.918548 | − | 0.395310i | \(-0.870637\pi\) |
0.510763 | − | 0.859721i | \(-0.329363\pi\) | |||||||
\(644\) | −1.16562 | − | 3.58741i | −0.0459319 | − | 0.141364i | ||||
\(645\) | 11.0551 | + | 8.03200i | 0.435294 | + | 0.316260i | ||||
\(646\) | −5.60503 | + | 4.07230i | −0.220527 | + | 0.160222i | ||||
\(647\) | −12.4406 | + | 38.2884i | −0.489092 | + | 1.50527i | 0.336873 | + | 0.941550i | \(0.390631\pi\) |
−0.825965 | + | 0.563721i | \(0.809369\pi\) | |||||||
\(648\) | −13.6060 | −0.534495 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 2.30620 | 0.0904567 | ||||||||
\(651\) | −1.89752 | + | 5.83996i | −0.0743696 | + | 0.228886i | ||||
\(652\) | 18.8412 | − | 13.6889i | 0.737879 | − | 0.536100i | ||||
\(653\) | −12.4173 | − | 9.02166i | −0.485925 | − | 0.353045i | 0.317690 | − | 0.948195i | \(-0.397093\pi\) |
−0.803615 | + | 0.595150i | \(0.797093\pi\) | |||||||
\(654\) | 4.25621 | + | 13.0993i | 0.166431 | + | 0.512222i | ||||
\(655\) | −2.96798 | − | 9.13452i | −0.115969 | − | 0.356915i | ||||
\(656\) | 18.2272 | + | 13.2428i | 0.711653 | + | 0.517046i | ||||
\(657\) | −1.75971 | + | 1.27850i | −0.0686528 | + | 0.0498791i | ||||
\(658\) | −0.686184 | + | 2.11186i | −0.0267502 | + | 0.0823288i | ||||
\(659\) | −36.6635 | −1.42821 | −0.714104 | − | 0.700039i | \(-0.753166\pi\) | ||||
−0.714104 | + | 0.700039i | \(0.753166\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.03024 | −0.312340 | −0.156170 | − | 0.987730i | \(-0.549915\pi\) | ||||
−0.156170 | + | 0.987730i | \(0.549915\pi\) | |||||||
\(662\) | −2.81972 | + | 8.67822i | −0.109592 | + | 0.337288i | ||||
\(663\) | −15.5494 | + | 11.2973i | −0.603890 | + | 0.438752i | ||||
\(664\) | 2.51403 | + | 1.82655i | 0.0975631 | + | 0.0708838i | ||||
\(665\) | −0.855586 | − | 2.63322i | −0.0331782 | − | 0.102112i | ||||
\(666\) | 0.336074 | + | 1.03433i | 0.0130226 | + | 0.0400795i | ||||
\(667\) | −32.3340 | − | 23.4920i | −1.25198 | − | 0.909614i | ||||
\(668\) | 22.7201 | − | 16.5071i | 0.879068 | − | 0.638680i | ||||
\(669\) | 0.514068 | − | 1.58214i | 0.0198750 | − | 0.0611690i | ||||
\(670\) | −3.65565 | −0.141230 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 3.77946 | 0.145796 | ||||||||
\(673\) | 3.63364 | − | 11.1832i | 0.140067 | − | 0.431081i | −0.856277 | − | 0.516517i | \(-0.827228\pi\) |
0.996344 | + | 0.0854362i | \(0.0272284\pi\) | |||||||
\(674\) | 1.86576 | − | 1.35555i | 0.0718663 | − | 0.0522139i | ||||
\(675\) | −4.45054 | − | 3.23350i | −0.171301 | − | 0.124458i | ||||
\(676\) | −5.46442 | − | 16.8177i | −0.210170 | − | 0.646836i | ||||
\(677\) | 8.43455 | + | 25.9589i | 0.324166 | + | 0.997681i | 0.971816 | + | 0.235743i | \(0.0757522\pi\) |
−0.647649 | + | 0.761939i | \(0.724248\pi\) | |||||||
\(678\) | 0.288224 | + | 0.209407i | 0.0110692 | + | 0.00804222i | ||||
\(679\) | 1.41538 | − | 1.02834i | 0.0543174 | − | 0.0394639i | ||||
\(680\) | 1.40143 | − | 4.31317i | 0.0537426 | − | 0.165403i | ||||
\(681\) | −0.770249 | −0.0295160 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 49.5738 | 1.89689 | 0.948444 | − | 0.316945i | \(-0.102657\pi\) | ||||
0.948444 | + | 0.316945i | \(0.102657\pi\) | |||||||
\(684\) | −1.36768 | + | 4.20928i | −0.0522945 | + | 0.160946i | ||||
\(685\) | −3.21349 | + | 2.33474i | −0.122781 | + | 0.0892057i | ||||
\(686\) | −2.57610 | − | 1.87165i | −0.0983560 | − | 0.0714598i | ||||
\(687\) | −6.70147 | − | 20.6250i | −0.255677 | − | 0.786893i | ||||
\(688\) | 7.02836 | + | 21.6311i | 0.267954 | + | 0.824677i | ||||
\(689\) | 23.6682 | + | 17.1960i | 0.901688 | + | 0.655115i | ||||
\(690\) | −2.76341 | + | 2.00774i | −0.105201 | + | 0.0764332i | ||||
\(691\) | −7.82596 | + | 24.0858i | −0.297713 | + | 0.916268i | 0.684583 | + | 0.728935i | \(0.259984\pi\) |
−0.982297 | + | 0.187333i | \(0.940016\pi\) | |||||||
\(692\) | 40.3635 | 1.53439 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.124298 | −0.00471829 | ||||||||
\(695\) | −2.84960 | + | 8.77016i | −0.108091 | + | 0.332671i | ||||
\(696\) | 21.1655 | − | 15.3776i | 0.802276 | − | 0.582888i | ||||
\(697\) | 17.1087 | + | 12.4302i | 0.648039 | + | 0.470828i | ||||
\(698\) | 0.199862 | + | 0.615112i | 0.00756489 | + | 0.0232823i | ||||
\(699\) | 10.4702 | + | 32.2241i | 0.396021 | + | 1.21883i | ||||
\(700\) | 0.688138 | + | 0.499962i | 0.0260092 | + | 0.0188968i | ||||
\(701\) | −14.7690 | + | 10.7303i | −0.557817 | + | 0.405278i | −0.830659 | − | 0.556781i | \(-0.812036\pi\) |
0.272842 | + | 0.962059i | \(0.412036\pi\) | |||||||
\(702\) | 3.92044 | − | 12.0659i | 0.147967 | − | 0.455397i | ||||
\(703\) | −29.9578 | −1.12988 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −15.3788 | −0.579199 | ||||||||
\(706\) | −5.26866 | + | 16.2153i | −0.198289 | + | 0.610270i | ||||
\(707\) | −2.99514 | + | 2.17609i | −0.112644 | + | 0.0818404i | ||||
\(708\) | −6.34566 | − | 4.61039i | −0.238485 | − | 0.173269i | ||||
\(709\) | 1.33859 | + | 4.11977i | 0.0502719 | + | 0.154721i | 0.973041 | − | 0.230632i | \(-0.0740795\pi\) |
−0.922769 | + | 0.385354i | \(0.874079\pi\) | |||||||
\(710\) | 0.411452 | + | 1.26632i | 0.0154415 | + | 0.0475241i | ||||
\(711\) | −1.27454 | − | 0.926005i | −0.0477989 | − | 0.0347279i | ||||
\(712\) | 23.0800 | − | 16.7686i | 0.864961 | − | 0.628431i | ||||
\(713\) | 10.9247 | − | 33.6229i | 0.409135 | − | 1.25919i | ||||
\(714\) | 0.926885 | 0.0346878 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.818095 | 0.0305737 | ||||||||
\(717\) | −1.32467 | + | 4.07692i | −0.0494707 | + | 0.152255i | ||||
\(718\) | 3.05086 | − | 2.21658i | 0.113857 | − | 0.0827219i | ||||
\(719\) | 19.4977 | + | 14.1659i | 0.727142 | + | 0.528300i | 0.888658 | − | 0.458570i | \(-0.151638\pi\) |
−0.161516 | + | 0.986870i | \(0.551638\pi\) | |||||||
\(720\) | −0.358045 | − | 1.10195i | −0.0133436 | − | 0.0410673i | ||||
\(721\) | 1.35274 | + | 4.16331i | 0.0503788 | + | 0.155050i | ||||
\(722\) | 5.50420 | + | 3.99904i | 0.204845 | + | 0.148829i | ||||
\(723\) | −5.92060 | + | 4.30157i | −0.220189 | + | 0.159977i | ||||
\(724\) | 1.70990 | − | 5.26252i | 0.0635479 | − | 0.195580i | ||||
\(725\) | 9.01248 | 0.334715 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.1066 | −0.931151 | −0.465576 | − | 0.885008i | \(-0.654153\pi\) | ||||
−0.465576 | + | 0.885008i | \(0.654153\pi\) | |||||||
\(728\) | −1.29161 | + | 3.97516i | −0.0478702 | + | 0.147329i | ||||
\(729\) | −24.0247 | + | 17.4549i | −0.889803 | + | 0.646479i | ||||
\(730\) | −1.94707 | − | 1.41463i | −0.0720645 | − | 0.0523579i | ||||
\(731\) | 6.59707 | + | 20.3037i | 0.244001 | + | 0.750959i | ||||
\(732\) | 3.52390 | + | 10.8454i | 0.130247 | + | 0.400859i | ||||
\(733\) | −14.1143 | − | 10.2547i | −0.521325 | − | 0.378764i | 0.295778 | − | 0.955257i | \(-0.404421\pi\) |
−0.817103 | + | 0.576492i | \(0.804421\pi\) | |||||||
\(734\) | 0.414945 | − | 0.301476i | 0.0153159 | − | 0.0111277i | ||||
\(735\) | 3.35016 | − | 10.3107i | 0.123572 | − | 0.380317i | ||||
\(736\) | −21.7598 | −0.802078 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −1.76640 | −0.0650222 | ||||||||
\(739\) | 1.60695 | − | 4.94567i | 0.0591125 | − | 0.181930i | −0.917140 | − | 0.398565i | \(-0.869508\pi\) |
0.976253 | + | 0.216635i | \(0.0695083\pi\) | |||||||
\(740\) | 7.44567 | − | 5.40960i | 0.273708 | − | 0.198861i | ||||
\(741\) | 35.7767 | + | 25.9933i | 1.31429 | + | 0.954889i | ||||
\(742\) | −0.435973 | − | 1.34179i | −0.0160051 | − | 0.0492586i | ||||
\(743\) | 11.4932 | + | 35.3724i | 0.421645 | + | 1.29769i | 0.906171 | + | 0.422912i | \(0.138992\pi\) |
−0.484526 | + | 0.874777i | \(0.661008\pi\) | |||||||
\(744\) | 18.7222 | + | 13.6025i | 0.686389 | + | 0.498691i | ||||
\(745\) | 6.18907 | − | 4.49662i | 0.226750 | − | 0.164744i | ||||
\(746\) | −5.59337 | + | 17.2146i | −0.204788 | + | 0.630272i | ||||
\(747\) | 0.745203 | 0.0272656 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 8.07494 | 0.295052 | ||||||||
\(750\) | 0.238020 | − | 0.732550i | 0.00869126 | − | 0.0267490i | ||||
\(751\) | −33.5104 | + | 24.3468i | −1.22281 | + | 0.888426i | −0.996330 | − | 0.0855894i | \(-0.972723\pi\) |
−0.226483 | + | 0.974015i | \(0.572723\pi\) | |||||||
\(752\) | −20.7084 | − | 15.0455i | −0.755158 | − | 0.548655i | ||||
\(753\) | 5.66068 | + | 17.4218i | 0.206286 | + | 0.634885i | ||||
\(754\) | 6.42280 | + | 19.7673i | 0.233904 | + | 0.719884i | ||||
\(755\) | −2.32348 | − | 1.68811i | −0.0845603 | − | 0.0614366i | ||||
\(756\) | 3.78556 | − | 2.75037i | 0.137680 | − | 0.100030i | ||||
\(757\) | 1.21020 | − | 3.72460i | 0.0439853 | − | 0.135373i | −0.926652 | − | 0.375920i | \(-0.877327\pi\) |
0.970638 | + | 0.240547i | \(0.0773268\pi\) | |||||||
\(758\) | −16.9025 | −0.613926 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.4346 | −0.378504 | ||||||||
\(761\) | 12.0921 | − | 37.2157i | 0.438339 | − | 1.34907i | −0.451287 | − | 0.892379i | \(-0.649035\pi\) |
0.889626 | − | 0.456690i | \(-0.150965\pi\) | |||||||
\(762\) | 9.86405 | − | 7.16665i | 0.357337 | − | 0.259620i | ||||
\(763\) | −6.95702 | − | 5.05457i | −0.251861 | − | 0.182988i | ||||
\(764\) | 2.97167 | + | 9.14586i | 0.107511 | + | 0.330886i | ||||
\(765\) | −0.336074 | − | 1.03433i | −0.0121508 | − | 0.0373963i | ||||
\(766\) | 0.320797 | + | 0.233072i | 0.0115909 | + | 0.00842125i | ||||
\(767\) | 10.7419 | − | 7.80444i | 0.387867 | − | 0.281802i | ||||
\(768\) | −0.266018 | + | 0.818719i | −0.00959910 | + | 0.0295430i | ||||
\(769\) | −11.6755 | −0.421028 | −0.210514 | − | 0.977591i | \(-0.567514\pi\) | ||||
−0.210514 | + | 0.977591i | \(0.567514\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 32.1052 | 1.15624 | ||||||||
\(772\) | −1.75271 | + | 5.39429i | −0.0630815 | + | 0.194145i | ||||
\(773\) | 6.28315 | − | 4.56498i | 0.225989 | − | 0.164191i | −0.469029 | − | 0.883183i | \(-0.655396\pi\) |
0.695019 | + | 0.718992i | \(0.255396\pi\) | |||||||
\(774\) | −1.44263 | − | 1.04814i | −0.0518544 | − | 0.0376745i | ||||
\(775\) | 2.46351 | + | 7.58191i | 0.0884920 | + | 0.272350i | ||||
\(776\) | −2.03748 | − | 6.27073i | −0.0731414 | − | 0.225106i | ||||
\(777\) | 3.24244 | + | 2.35577i | 0.116322 | + | 0.0845129i | ||||
\(778\) | 1.88446 | − | 1.36914i | 0.0675613 | − | 0.0490862i | ||||
\(779\) | 15.0359 | − | 46.2757i | 0.538716 | − | 1.65800i | ||||
\(780\) | −13.5856 | −0.486444 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −5.33644 | −0.190831 | ||||||||
\(783\) | 15.3208 | − | 47.1526i | 0.547521 | − | 1.68510i | ||||
\(784\) | 14.5985 | − | 10.6064i | 0.521374 | − | 0.378800i | ||||
\(785\) | −14.1430 | − | 10.2755i | −0.504784 | − | 0.366747i | ||||
\(786\) | −2.28609 | − | 7.03585i | −0.0815420 | − | 0.250960i | ||||
\(787\) | 0.441672 | + | 1.35933i | 0.0157439 | + | 0.0484548i | 0.958620 | − | 0.284689i | \(-0.0918904\pi\) |
−0.942876 | + | 0.333144i | \(0.891890\pi\) | |||||||
\(788\) | −27.7670 | − | 20.1739i | −0.989159 | − | 0.718666i | ||||
\(789\) | −8.49843 | + | 6.17447i | −0.302552 | + | 0.219817i | ||||
\(790\) | 0.538665 | − | 1.65784i | 0.0191649 | − | 0.0589834i | ||||
\(791\) | −0.222432 | −0.00790876 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.3039 | −0.685501 | ||||||||
\(794\) | 1.08955 | − | 3.35329i | 0.0386667 | − | 0.119004i | ||||
\(795\) | 7.90496 | − | 5.74329i | 0.280360 | − | 0.203693i | ||||
\(796\) | 29.1208 | + | 21.1575i | 1.03216 | + | 0.749909i | ||||
\(797\) | −11.2417 | − | 34.5983i | −0.398200 | − | 1.22553i | −0.926441 | − | 0.376440i | \(-0.877148\pi\) |
0.528241 | − | 0.849095i | \(-0.322852\pi\) | |||||||
\(798\) | −0.659014 | − | 2.02824i | −0.0233288 | − | 0.0717988i | ||||
\(799\) | −19.4377 | − | 14.1223i | −0.687655 | − | 0.499611i | ||||
\(800\) | 3.96969 | − | 2.88415i | 0.140350 | − | 0.101970i | ||||
\(801\) | 2.11409 | − | 6.50650i | 0.0746977 | − | 0.229896i | ||||
\(802\) | 14.9800 | 0.528962 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 21.5351 | 0.759486 | ||||||||
\(805\) | 0.659014 | − | 2.02824i | 0.0232272 | − | 0.0714860i | ||||
\(806\) | −14.8740 | + | 10.8066i | −0.523914 | + | 0.380646i | ||||
\(807\) | 2.45831 | + | 1.78606i | 0.0865365 | + | 0.0628724i | ||||
\(808\) | 4.31158 | + | 13.2697i | 0.151681 | + | 0.466826i | ||||
\(809\) | −8.61338 | − | 26.5093i | −0.302830 | − | 0.932016i | −0.980478 | − | 0.196629i | \(-0.937000\pi\) |
0.677648 | − | 0.735387i | \(-0.263000\pi\) | |||||||
\(810\) | −2.92074 | − | 2.12204i | −0.102624 | − | 0.0745610i | ||||
\(811\) | 31.6967 | − | 23.0290i | 1.11302 | − | 0.808657i | 0.129884 | − | 0.991529i | \(-0.458539\pi\) |
0.983137 | + | 0.182872i | \(0.0585394\pi\) | |||||||
\(812\) | −2.36889 | + | 7.29069i | −0.0831317 | + | 0.255853i | ||||
\(813\) | −18.1856 | −0.637798 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 13.1671 | 0.461222 | ||||||||
\(816\) | −3.30171 | + | 10.1616i | −0.115583 | + | 0.355728i | ||||
\(817\) | 39.7386 | − | 28.8718i | 1.39028 | − | 1.01010i | ||||
\(818\) | 2.81370 | + | 2.04427i | 0.0983786 | + | 0.0714762i | ||||
\(819\) | 0.309737 | + | 0.953273i | 0.0108231 | + | 0.0333101i | ||||
\(820\) | 4.61919 | + | 14.2164i | 0.161309 | + | 0.496458i | ||||
\(821\) | −11.1460 | − | 8.09803i | −0.388997 | − | 0.282623i | 0.376047 | − | 0.926601i | \(-0.377283\pi\) |
−0.765045 | + | 0.643977i | \(0.777283\pi\) | |||||||
\(822\) | −2.47519 | + | 1.79833i | −0.0863321 | + | 0.0627239i | ||||
\(823\) | −6.14325 | + | 18.9070i | −0.214140 | + | 0.659056i | 0.785073 | + | 0.619403i | \(0.212625\pi\) |
−0.999214 | + | 0.0396530i | \(0.987375\pi\) | |||||||
\(824\) | 16.4979 | 0.574731 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.640313 | −0.0222793 | ||||||||
\(827\) | −4.11832 | + | 12.6749i | −0.143208 | + | 0.440749i | −0.996776 | − | 0.0802321i | \(-0.974434\pi\) |
0.853568 | + | 0.520981i | \(0.174434\pi\) | |||||||
\(828\) | −2.75798 | + | 2.00379i | −0.0958463 | + | 0.0696364i | ||||
\(829\) | −41.4135 | − | 30.0887i | −1.43835 | − | 1.04502i | −0.988384 | − | 0.151978i | \(-0.951436\pi\) |
−0.449967 | − | 0.893045i | \(-0.648564\pi\) | |||||||
\(830\) | 0.254800 | + | 0.784193i | 0.00884423 | + | 0.0272197i | ||||
\(831\) | 11.3016 | + | 34.7827i | 0.392048 | + | 1.20660i | ||||
\(832\) | −11.5309 | − | 8.37766i | −0.399761 | − | 0.290443i | ||||
\(833\) | 13.7026 | − | 9.95556i | 0.474769 | − | 0.344940i | ||||
\(834\) | −2.19490 | + | 6.75521i | −0.0760032 | + | 0.233914i | ||||
\(835\) | 15.8778 | 0.549474 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 43.8558 | 1.51588 | ||||||||
\(838\) | 0.342717 | − | 1.05477i | 0.0118390 | − | 0.0364366i | ||||
\(839\) | 13.6513 | − | 9.91824i | 0.471295 | − | 0.342416i | −0.326651 | − | 0.945145i | \(-0.605920\pi\) |
0.797946 | + | 0.602729i | \(0.205920\pi\) | |||||||
\(840\) | 1.12938 | + | 0.820542i | 0.0389673 | + | 0.0283114i | ||||
\(841\) | 16.1384 | + | 49.6687i | 0.556495 | + | 1.71272i | ||||
\(842\) | −0.986448 | − | 3.03597i | −0.0339952 | − | 0.104627i | ||||
\(843\) | 29.2997 | + | 21.2875i | 1.00914 | + | 0.733180i | ||||
\(844\) | 9.84465 | − | 7.15256i | 0.338867 | − | 0.246201i | ||||
\(845\) | 3.08945 | − | 9.50835i | 0.106280 | − | 0.327097i | ||||
\(846\) | 2.00686 | 0.0689972 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 16.2633 | 0.558484 | ||||||||
\(849\) | −13.6440 | + | 41.9920i | −0.468262 | + | 1.44116i | ||||
\(850\) | 0.973537 | − | 0.707316i | 0.0333921 | − | 0.0242607i | ||||
\(851\) | −18.6680 | − | 13.5631i | −0.639931 | − | 0.464937i | ||||
\(852\) | −2.42383 | − | 7.45977i | −0.0830390 | − | 0.255568i | ||||
\(853\) | −1.67568 | − | 5.15722i | −0.0573743 | − | 0.176580i | 0.918262 | − | 0.395972i | \(-0.129592\pi\) |
−0.975637 | + | 0.219393i | \(0.929592\pi\) | |||||||
\(854\) | 0.753132 | + | 0.547183i | 0.0257717 | + | 0.0187242i | ||||
\(855\) | −2.02440 | + | 1.47081i | −0.0692331 | + | 0.0503008i | ||||
\(856\) | 9.40410 | − | 28.9428i | 0.321425 | − | 0.989246i | ||||
\(857\) | −27.8386 | −0.950947 | −0.475474 | − | 0.879730i | \(-0.657723\pi\) | ||||
−0.475474 | + | 0.879730i | \(0.657723\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 48.1899 | 1.64422 | 0.822109 | − | 0.569330i | \(-0.192797\pi\) | ||||
0.822109 | + | 0.569330i | \(0.192797\pi\) | |||||||
\(860\) | −4.66310 | + | 14.3515i | −0.159010 | + | 0.489383i | ||||
\(861\) | −5.26635 | + | 3.82622i | −0.179477 | + | 0.130397i | ||||
\(862\) | 12.7779 | + | 9.28366i | 0.435216 | + | 0.316203i | ||||
\(863\) | 8.30046 | + | 25.5462i | 0.282551 | + | 0.869602i | 0.987122 | + | 0.159969i | \(0.0511394\pi\) |
−0.704571 | + | 0.709633i | \(0.748861\pi\) | |||||||
\(864\) | −8.34134 | − | 25.6720i | −0.283778 | − | 0.873379i | ||||
\(865\) | 18.4622 | + | 13.4136i | 0.627734 | + | 0.456076i | ||||
\(866\) | 0.918960 | − | 0.667663i | 0.0312275 | − | 0.0226881i | ||||
\(867\) | 5.31498 | − | 16.3578i | 0.180506 | − | 0.555541i | ||||
\(868\) | −6.78095 | −0.230160 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 6.94185 | 0.235351 | ||||||||
\(871\) | −11.2651 | + | 34.6703i | −0.381702 | + | 1.17476i | ||||
\(872\) | −26.2192 | + | 19.0493i | −0.887893 | + | 0.645092i | ||||
\(873\) | −1.27918 | − | 0.929379i | −0.0432937 | − | 0.0314547i | ||||
\(874\) | 3.79420 | + | 11.6774i | 0.128341 | + | 0.394992i | ||||
\(875\) | 0.148607 | + | 0.457364i | 0.00502382 | + | 0.0154617i | ||||
\(876\) | 11.4700 | + | 8.33347i | 0.387537 | + | 0.281562i | ||||
\(877\) | 32.2666 | − | 23.4431i | 1.08957 | − | 0.791616i | 0.110240 | − | 0.993905i | \(-0.464838\pi\) |
0.979326 | + | 0.202289i | \(0.0648381\pi\) | |||||||
\(878\) | 4.58966 | − | 14.1255i | 0.154894 | − | 0.476713i | ||||
\(879\) | −35.0107 | −1.18088 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −2.82222 | −0.0950829 | −0.0475415 | − | 0.998869i | \(-0.515139\pi\) | ||||
−0.0475415 | + | 0.998869i | \(0.515139\pi\) | |||||||
\(882\) | −0.437179 | + | 1.34550i | −0.0147206 | + | 0.0453053i | ||||
\(883\) | −40.8786 | + | 29.7000i | −1.37567 | + | 0.999485i | −0.378403 | + | 0.925641i | \(0.623527\pi\) |
−0.997270 | + | 0.0738443i | \(0.976473\pi\) | |||||||
\(884\) | −17.1712 | − | 12.4756i | −0.577531 | − | 0.419601i | ||||
\(885\) | −1.37037 | − | 4.21758i | −0.0460646 | − | 0.141772i | ||||
\(886\) | 2.04703 | + | 6.30010i | 0.0687712 | + | 0.211656i | ||||
\(887\) | −22.9109 | − | 16.6458i | −0.769274 | − | 0.558910i | 0.132467 | − | 0.991187i | \(-0.457710\pi\) |
−0.901741 | + | 0.432277i | \(0.857710\pi\) | |||||||
\(888\) | 12.2199 | − | 8.87828i | 0.410073 | − | 0.297936i | ||||
\(889\) | −2.35236 | + | 7.23983i | −0.0788957 | + | 0.242816i | ||||
\(890\) | 7.56978 | 0.253740 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.83707 | 0.0615096 | ||||||||
\(893\) | −17.0826 | + | 52.5750i | −0.571649 | + | 1.75935i | ||||
\(894\) | 4.76713 | − | 3.46352i | 0.159437 | − | 0.115837i | ||||
\(895\) | 0.374196 | + | 0.271869i | 0.0125080 | + | 0.00908758i | ||||
\(896\) | 1.67077 | + | 5.14209i | 0.0558164 | + | 0.171785i | ||||
\(897\) | 10.5258 | + | 32.3952i | 0.351447 | + | 1.08164i | ||||
\(898\) | −15.1407 | − | 11.0003i | −0.505250 | − | 0.367086i | ||||
\(899\) | −58.1265 | + | 42.2314i | −1.93863 | + | 1.40850i | ||||
\(900\) | 0.237552 | − | 0.731110i | 0.00791840 | − | 0.0243703i | ||||
\(901\) | 15.2653 | 0.508561 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −6.57144 | −0.218684 | ||||||||
\(904\) | −0.259045 | + | 0.797258i | −0.00861570 | + | 0.0265164i | ||||
\(905\) | 2.53095 | − | 1.83884i | 0.0841315 | − | 0.0611251i | ||||
\(906\) | −1.78966 | − | 1.30027i | −0.0594575 | − | 0.0431984i | ||||
\(907\) | 15.7756 | + | 48.5522i | 0.523819 | + | 1.61215i | 0.766640 | + | 0.642077i | \(0.221927\pi\) |
−0.242821 | + | 0.970071i | \(0.578073\pi\) | |||||||
\(908\) | −0.262846 | − | 0.808955i | −0.00872283 | − | 0.0268461i | ||||
\(909\) | 2.70692 | + | 1.96669i | 0.0897827 | + | 0.0652310i | ||||
\(910\) | −0.897244 | + | 0.651886i | −0.0297434 | + | 0.0216098i | ||||
\(911\) | −7.76958 | + | 23.9123i | −0.257418 | + | 0.792250i | 0.735926 | + | 0.677062i | \(0.236747\pi\) |
−0.993344 | + | 0.115188i | \(0.963253\pi\) | |||||||
\(912\) | 24.5835 | 0.814040 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −0.640313 | −0.0211797 | ||||||||
\(915\) | −1.99233 | + | 6.13175i | −0.0658643 | + | 0.202709i | ||||
\(916\) | 19.3746 | − | 14.0765i | 0.640154 | − | 0.465099i | ||||
\(917\) | 3.73674 | + | 2.71490i | 0.123398 | + | 0.0896538i | ||||
\(918\) | −2.04565 | − | 6.29587i | −0.0675166 | − | 0.207795i | ||||
\(919\) | 7.91551 | + | 24.3614i | 0.261108 | + | 0.803609i | 0.992564 | + | 0.121720i | \(0.0388411\pi\) |
−0.731456 | + | 0.681889i | \(0.761159\pi\) | |||||||
\(920\) | −6.50228 | − | 4.72418i | −0.214374 | − | 0.155752i | ||||
\(921\) | 12.6989 | − | 9.22632i | 0.418444 | − | 0.304018i | ||||
\(922\) | −0.852992 | + | 2.62524i | −0.0280918 | + | 0.0864576i | ||||
\(923\) | 13.2777 | 0.437041 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.20336 | 0.171085 | ||||||||
\(926\) | 0.512002 | − | 1.57578i | 0.0168254 | − | 0.0517833i | ||||
\(927\) | 3.20073 | − | 2.32546i | 0.105126 | − | 0.0763782i | ||||
\(928\) | 35.7767 | + | 25.9933i | 1.17443 | + | 0.853273i | ||||
\(929\) | −2.65994 | − | 8.18645i | −0.0872698 | − | 0.268589i | 0.897892 | − | 0.440215i | \(-0.145098\pi\) |
−0.985162 | + | 0.171626i | \(0.945098\pi\) | |||||||
\(930\) | 1.89752 | + | 5.83996i | 0.0622221 | + | 0.191500i | ||||
\(931\) | −31.5276 | − | 22.9061i | −1.03328 | − | 0.750718i | ||||
\(932\) | −30.2704 | + | 21.9928i | −0.991541 | + | 0.720397i | ||||
\(933\) | −4.83615 | + | 14.8841i | −0.158328 | + | 0.487285i | ||||
\(934\) | 13.0884 | 0.428266 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 3.77752 | 0.123472 | ||||||||
\(937\) | −1.84372 | + | 5.67438i | −0.0602317 | + | 0.185374i | −0.976645 | − | 0.214859i | \(-0.931071\pi\) |
0.916413 | + | 0.400233i | \(0.131071\pi\) | |||||||
\(938\) | 1.42226 | − | 1.03333i | 0.0464384 | − | 0.0337395i | ||||
\(939\) | −1.16252 | − | 0.844621i | −0.0379374 | − | 0.0275632i | ||||
\(940\) | −5.24798 | − | 16.1516i | −0.171170 | − | 0.526808i | ||||
\(941\) | −7.05733 | − | 21.7202i | −0.230062 | − | 0.708059i | −0.997738 | − | 0.0672209i | \(-0.978587\pi\) |
0.767676 | − | 0.640839i | \(-0.221413\pi\) | |||||||
\(942\) | −10.8936 | − | 7.91466i | −0.354933 | − | 0.257874i | ||||
\(943\) | 30.3204 | − | 22.0291i | 0.987368 | − | 0.717365i | ||||
\(944\) | 2.28090 | − | 7.01988i | 0.0742369 | − | 0.228478i | ||||
\(945\) | 2.64552 | 0.0860586 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −2.30620 | −0.0749415 | −0.0374708 | − | 0.999298i | \(-0.511930\pi\) | ||||
−0.0374708 | + | 0.999298i | \(0.511930\pi\) | |||||||
\(948\) | −3.17323 | + | 9.76620i | −0.103062 | + | 0.317191i | ||||
\(949\) | −19.4164 | + | 14.1068i | −0.630283 | + | 0.457928i | ||||
\(950\) | −2.23995 | − | 1.62742i | −0.0726737 | − | 0.0528005i | ||||
\(951\) | 1.32063 | + | 4.06447i | 0.0428242 | + | 0.131799i | ||||
\(952\) | 0.673951 | + | 2.07421i | 0.0218429 | + | 0.0672255i | ||||
\(953\) | −23.1483 | − | 16.8182i | −0.749847 | − | 0.544795i | 0.145933 | − | 0.989295i | \(-0.453382\pi\) |
−0.895779 | + | 0.444499i | \(0.853382\pi\) | |||||||
\(954\) | −1.03156 | + | 0.749470i | −0.0333979 | + | 0.0242650i | ||||
\(955\) | −1.68011 | + | 5.17085i | −0.0543671 | + | 0.167325i | ||||
\(956\) | −4.73383 | −0.153103 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.72404 | −0.217244 | ||||||||
\(959\) | 0.590279 | − | 1.81669i | 0.0190611 | − | 0.0586640i | ||||
\(960\) | −3.85119 | + | 2.79806i | −0.124297 | + | 0.0903069i | ||||
\(961\) | −26.3369 | − | 19.1349i | −0.849579 | − | 0.617255i | ||||
\(962\) | 3.70820 | + | 11.4127i | 0.119557 | + | 0.367960i | ||||
\(963\) | −2.25517 | − | 6.94070i | −0.0726719 | − | 0.223661i | ||||
\(964\) | −6.53812 | − | 4.75022i | −0.210579 | − | 0.152994i | ||||
\(965\) | −2.59432 | + | 1.88488i | −0.0835141 | + | 0.0606765i | ||||
\(966\) | 0.507605 | − | 1.56225i | 0.0163319 | − | 0.0502645i | ||||
\(967\) | −31.7422 | −1.02076 | −0.510380 | − | 0.859949i | \(-0.670495\pi\) | ||||
−0.510380 | + | 0.859949i | \(0.670495\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 23.0749 | 0.741274 | ||||||||
\(970\) | 0.540628 | − | 1.66388i | 0.0173585 | − | 0.0534240i | ||||
\(971\) | 29.9355 | − | 21.7494i | 0.960676 | − | 0.697972i | 0.00736865 | − | 0.999973i | \(-0.497654\pi\) |
0.953308 | + | 0.302001i | \(0.0976545\pi\) | |||||||
\(972\) | −6.40962 | − | 4.65686i | −0.205589 | − | 0.149369i | ||||
\(973\) | −1.37037 | − | 4.21758i | −0.0439322 | − | 0.135209i | ||||
\(974\) | 1.10768 | + | 3.40907i | 0.0354922 | + | 0.109234i | ||||
\(975\) | −6.21405 | − | 4.51478i | −0.199009 | − | 0.144589i | ||||
\(976\) | −8.68165 | + | 6.30759i | −0.277893 | + | 0.201901i | ||||
\(977\) | 10.4669 | − | 32.2138i | 0.334866 | − | 1.03061i | −0.631923 | − | 0.775031i | \(-0.717734\pi\) |
0.966788 | − | 0.255579i | \(-0.0822660\pi\) | |||||||
\(978\) | 10.1419 | 0.324303 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 11.9721 | 0.382434 | ||||||||
\(981\) | −2.40163 | + | 7.39145i | −0.0766781 | + | 0.235991i | ||||
\(982\) | −6.21542 | + | 4.51577i | −0.198342 | + | 0.144104i | ||||
\(983\) | 30.5416 | + | 22.1898i | 0.974127 | + | 0.707745i | 0.956388 | − | 0.292098i | \(-0.0943533\pi\) |
0.0177388 | + | 0.999843i | \(0.494353\pi\) | |||||||
\(984\) | 7.58105 | + | 23.3321i | 0.241675 | + | 0.743800i | ||||
\(985\) | −5.99641 | − | 18.4550i | −0.191061 | − | 0.588027i | ||||
\(986\) | 8.77399 | + | 6.37467i | 0.279421 | + | 0.203011i | ||||
\(987\) | 5.98323 | − | 4.34707i | 0.190448 | − | 0.138369i | ||||
\(988\) | −15.0908 | + | 46.4447i | −0.480103 | + | 1.47760i | ||||
\(989\) | 37.8343 | 1.20306 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −44.9354 | −1.42742 | −0.713710 | − | 0.700441i | \(-0.752987\pi\) | ||||
−0.713710 | + | 0.700441i | \(0.752987\pi\) | |||||||
\(992\) | −12.0880 | + | 37.2030i | −0.383793 | + | 1.18119i | ||||
\(993\) | 24.5868 | − | 17.8633i | 0.780238 | − | 0.566876i | ||||
\(994\) | −0.518024 | − | 0.376367i | −0.0164307 | − | 0.0119376i | ||||
\(995\) | 6.28877 | + | 19.3549i | 0.199368 | + | 0.613590i | ||||
\(996\) | −1.50100 | − | 4.61961i | −0.0475611 | − | 0.146378i | ||||
\(997\) | 0.320797 | + | 0.233072i | 0.0101597 | + | 0.00738148i | 0.592854 | − | 0.805310i | \(-0.298001\pi\) |
−0.582694 | + | 0.812692i | \(0.698001\pi\) | |||||||
\(998\) | −9.47389 | + | 6.88318i | −0.299891 | + | 0.217883i | ||||
\(999\) | 8.84547 | − | 27.2236i | 0.279858 | − | 0.861315i |
(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 | 605.2.g.q.251.3 | 24 | ||
11.2 | odd | 10 | inner | 605.2.g.q.366.3 | 24 | ||
11.3 | even | 5 | inner | 605.2.g.q.81.4 | 24 | ||
11.4 | even | 5 | 605.2.a.m.1.3 | ✓ | 6 | ||
11.5 | even | 5 | inner | 605.2.g.q.511.3 | 24 | ||
11.6 | odd | 10 | inner | 605.2.g.q.511.4 | 24 | ||
11.7 | odd | 10 | 605.2.a.m.1.4 | yes | 6 | ||
11.8 | odd | 10 | inner | 605.2.g.q.81.3 | 24 | ||
11.9 | even | 5 | inner | 605.2.g.q.366.4 | 24 | ||
11.10 | odd | 2 | inner | 605.2.g.q.251.4 | 24 | ||
33.26 | odd | 10 | 5445.2.a.bx.1.4 | 6 | |||
33.29 | even | 10 | 5445.2.a.bx.1.3 | 6 | |||
44.7 | even | 10 | 9680.2.a.cw.1.6 | 6 | |||
44.15 | odd | 10 | 9680.2.a.cw.1.5 | 6 | |||
55.4 | even | 10 | 3025.2.a.bg.1.4 | 6 | |||
55.29 | odd | 10 | 3025.2.a.bg.1.3 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.a.m.1.3 | ✓ | 6 | 11.4 | even | 5 | ||
605.2.a.m.1.4 | yes | 6 | 11.7 | odd | 10 | ||
605.2.g.q.81.3 | 24 | 11.8 | odd | 10 | inner | ||
605.2.g.q.81.4 | 24 | 11.3 | even | 5 | inner | ||
605.2.g.q.251.3 | 24 | 1.1 | even | 1 | trivial | ||
605.2.g.q.251.4 | 24 | 11.10 | odd | 2 | inner | ||
605.2.g.q.366.3 | 24 | 11.2 | odd | 10 | inner | ||
605.2.g.q.366.4 | 24 | 11.9 | even | 5 | inner | ||
605.2.g.q.511.3 | 24 | 11.5 | even | 5 | inner | ||
605.2.g.q.511.4 | 24 | 11.6 | odd | 10 | inner | ||
3025.2.a.bg.1.3 | 6 | 55.29 | odd | 10 | |||
3025.2.a.bg.1.4 | 6 | 55.4 | even | 10 | |||
5445.2.a.bx.1.3 | 6 | 33.29 | even | 10 | |||
5445.2.a.bx.1.4 | 6 | 33.26 | odd | 10 | |||
9680.2.a.cw.1.5 | 6 | 44.15 | odd | 10 | |||
9680.2.a.cw.1.6 | 6 | 44.7 | even | 10 |