Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 323.54 | ||
Character | \(\chi\) | \(=\) | 384.323 |
Dual form | 384.2.w.a.107.54 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26399 | − | 0.634293i | 0.893776 | − | 0.448513i | ||||
\(3\) | −1.41870 | + | 0.993626i | −0.819086 | + | 0.573670i | ||||
\(4\) | 1.19534 | − | 1.60348i | 0.597672 | − | 0.801740i | ||||
\(5\) | −0.160457 | − | 0.0486740i | −0.0717585 | − | 0.0217677i | 0.254201 | − | 0.967151i | \(-0.418187\pi\) |
−0.325960 | + | 0.945384i | \(0.605687\pi\) | |||||||
\(6\) | −1.16297 | + | 2.15581i | −0.474781 | + | 0.880104i | ||||
\(7\) | −0.313859 | − | 1.57788i | −0.118628 | − | 0.596381i | −0.993670 | − | 0.112336i | \(-0.964167\pi\) |
0.875043 | − | 0.484046i | \(-0.160833\pi\) | |||||||
\(8\) | 0.493828 | − | 2.78498i | 0.174595 | − | 0.984640i | ||||
\(9\) | 1.02541 | − | 2.81931i | 0.341804 | − | 0.939771i | ||||
\(10\) | −0.233690 | + | 0.0402531i | −0.0738991 | + | 0.0127291i | ||||
\(11\) | −0.127776 | − | 1.29733i | −0.0385259 | − | 0.391160i | −0.995040 | − | 0.0994745i | \(-0.968284\pi\) |
0.956514 | − | 0.291686i | \(-0.0942162\pi\) | |||||||
\(12\) | −0.102574 | + | 3.46258i | −0.0296105 | + | 0.999562i | ||||
\(13\) | 5.48845 | − | 1.66490i | 1.52222 | − | 0.461761i | 0.585158 | − | 0.810919i | \(-0.301032\pi\) |
0.937064 | + | 0.349158i | \(0.113532\pi\) | |||||||
\(14\) | −1.39755 | − | 1.79534i | −0.373511 | − | 0.479825i | ||||
\(15\) | 0.276004 | − | 0.0903803i | 0.0712639 | − | 0.0233361i | ||||
\(16\) | −1.14230 | − | 3.83343i | −0.285575 | − | 0.958356i | ||||
\(17\) | 3.05865 | + | 1.26694i | 0.741832 | + | 0.307277i | 0.721404 | − | 0.692514i | \(-0.243497\pi\) |
0.0204280 | + | 0.999791i | \(0.493497\pi\) | |||||||
\(18\) | −0.492158 | − | 4.21400i | −0.116003 | − | 0.993249i | ||||
\(19\) | 0.517836 | + | 0.276789i | 0.118800 | + | 0.0634998i | 0.529726 | − | 0.848169i | \(-0.322295\pi\) |
−0.410926 | + | 0.911669i | \(0.634795\pi\) | |||||||
\(20\) | −0.269849 | + | 0.199107i | −0.0603401 | + | 0.0445217i | ||||
\(21\) | 2.01309 | + | 1.92667i | 0.439293 | + | 0.420435i | ||||
\(22\) | −0.984396 | − | 1.55877i | −0.209874 | − | 0.332330i | ||||
\(23\) | −0.750420 | − | 1.12308i | −0.156473 | − | 0.234179i | 0.744947 | − | 0.667123i | \(-0.232475\pi\) |
−0.901421 | + | 0.432944i | \(0.857475\pi\) | |||||||
\(24\) | 2.06664 | + | 4.44173i | 0.421851 | + | 0.906665i | ||||
\(25\) | −4.13397 | − | 2.76223i | −0.826794 | − | 0.552446i | ||||
\(26\) | 5.88131 | − | 5.58571i | 1.15342 | − | 1.09545i | ||||
\(27\) | 1.34659 | + | 5.01863i | 0.259152 | + | 0.965837i | ||||
\(28\) | −2.90526 | − | 1.38284i | −0.549043 | − | 0.261332i | ||||
\(29\) | −0.813539 | + | 8.26000i | −0.151070 | + | 1.53384i | 0.558676 | + | 0.829386i | \(0.311310\pi\) |
−0.709746 | + | 0.704458i | \(0.751190\pi\) | |||||||
\(30\) | 0.291539 | − | 0.289307i | 0.0532274 | − | 0.0528200i | ||||
\(31\) | 0.245451 | + | 0.245451i | 0.0440844 | + | 0.0440844i | 0.728805 | − | 0.684721i | \(-0.240076\pi\) |
−0.684721 | + | 0.728805i | \(0.740076\pi\) | |||||||
\(32\) | −3.87537 | − | 4.12086i | −0.685075 | − | 0.728472i | ||||
\(33\) | 1.47034 | + | 1.71356i | 0.255953 | + | 0.298293i | ||||
\(34\) | 4.66972 | − | 0.338687i | 0.800850 | − | 0.0580844i | ||||
\(35\) | −0.0264408 | + | 0.268458i | −0.00446931 | + | 0.0453777i | ||||
\(36\) | −3.29499 | − | 5.01428i | −0.549165 | − | 0.835714i | ||||
\(37\) | 1.71818 | − | 0.918386i | 0.282467 | − | 0.150982i | −0.324079 | − | 0.946030i | \(-0.605054\pi\) |
0.606546 | + | 0.795048i | \(0.292554\pi\) | |||||||
\(38\) | 0.830106 | + | 0.0213992i | 0.134661 | + | 0.00347140i | ||||
\(39\) | −6.13217 | + | 7.81546i | −0.981932 | + | 1.25148i | ||||
\(40\) | −0.214795 | + | 0.422833i | −0.0339620 | + | 0.0668558i | ||||
\(41\) | −3.17024 | − | 4.74459i | −0.495108 | − | 0.740981i | 0.496811 | − | 0.867859i | \(-0.334504\pi\) |
−0.991918 | + | 0.126878i | \(0.959504\pi\) | |||||||
\(42\) | 3.76660 | + | 1.15841i | 0.581200 | + | 0.178746i | ||||
\(43\) | −3.82631 | + | 4.66238i | −0.583507 | + | 0.711006i | −0.978167 | − | 0.207822i | \(-0.933363\pi\) |
0.394659 | + | 0.918827i | \(0.370863\pi\) | |||||||
\(44\) | −2.23298 | − | 1.34587i | −0.336635 | − | 0.202898i | ||||
\(45\) | −0.301762 | + | 0.402467i | −0.0449840 | + | 0.0599962i | ||||
\(46\) | −1.66089 | − | 0.943580i | −0.244885 | − | 0.139123i | ||||
\(47\) | −8.52881 | − | 3.53275i | −1.24405 | − | 0.515304i | −0.339075 | − | 0.940759i | \(-0.610114\pi\) |
−0.904980 | + | 0.425455i | \(0.860114\pi\) | |||||||
\(48\) | 5.42957 | + | 4.30346i | 0.783691 | + | 0.621150i | ||||
\(49\) | 4.07597 | − | 1.68832i | 0.582281 | − | 0.241189i | ||||
\(50\) | −6.97736 | − | 0.869286i | −0.986748 | − | 0.122936i | ||||
\(51\) | −5.59817 | + | 1.24176i | −0.783900 | + | 0.173881i | ||||
\(52\) | 3.89095 | − | 10.7908i | 0.539578 | − | 1.49641i | ||||
\(53\) | 0.372313 | + | 3.78016i | 0.0511411 | + | 0.519244i | 0.986294 | + | 0.164999i | \(0.0527622\pi\) |
−0.935153 | + | 0.354245i | \(0.884738\pi\) | |||||||
\(54\) | 4.88536 | + | 5.48937i | 0.664814 | + | 0.747009i | ||||
\(55\) | −0.0426438 | + | 0.214385i | −0.00575010 | + | 0.0289077i | ||||
\(56\) | −4.54935 | + | 0.0948923i | −0.607933 | + | 0.0126805i | ||||
\(57\) | −1.00968 | + | 0.121855i | −0.133735 | + | 0.0161401i | ||||
\(58\) | 4.21095 | + | 10.9566i | 0.552925 | + | 1.43867i | ||||
\(59\) | 3.41257 | + | 1.03519i | 0.444279 | + | 0.134771i | 0.504495 | − | 0.863415i | \(-0.331679\pi\) |
−0.0602155 | + | 0.998185i | \(0.519179\pi\) | |||||||
\(60\) | 0.184997 | − | 0.550602i | 0.0238830 | − | 0.0710825i | ||||
\(61\) | 7.54630 | + | 9.19519i | 0.966205 | + | 1.17732i | 0.984124 | + | 0.177484i | \(0.0567959\pi\) |
−0.0179188 | + | 0.999839i | \(0.505704\pi\) | |||||||
\(62\) | 0.465936 | + | 0.154560i | 0.0591740 | + | 0.0196292i | ||||
\(63\) | −4.77036 | − | 0.733108i | −0.601009 | − | 0.0923630i | ||||
\(64\) | −7.51227 | − | 2.75061i | −0.939033 | − | 0.343826i | ||||
\(65\) | −0.961697 | −0.119284 | ||||||||
\(66\) | 2.94539 | + | 1.23330i | 0.362553 | + | 0.151809i | ||||
\(67\) | −9.47243 | + | 7.77382i | −1.15724 | + | 0.949723i | −0.999288 | − | 0.0377232i | \(-0.987989\pi\) |
−0.157953 | + | 0.987447i | \(0.550489\pi\) | |||||||
\(68\) | 5.68765 | − | 3.39006i | 0.689729 | − | 0.411106i | ||||
\(69\) | 2.18055 | + | 0.847680i | 0.262507 | + | 0.102049i | ||||
\(70\) | 0.136860 | + | 0.356099i | 0.0163579 | + | 0.0425620i | ||||
\(71\) | 1.05700 | + | 5.31392i | 0.125443 | + | 0.630647i | 0.991436 | + | 0.130590i | \(0.0416873\pi\) |
−0.865993 | + | 0.500056i | \(0.833313\pi\) | |||||||
\(72\) | −7.34536 | − | 4.24802i | −0.865659 | − | 0.500634i | ||||
\(73\) | 6.82623 | + | 1.35782i | 0.798950 | + | 0.158921i | 0.577650 | − | 0.816285i | \(-0.303970\pi\) |
0.221300 | + | 0.975206i | \(0.428970\pi\) | |||||||
\(74\) | 1.58924 | − | 2.25066i | 0.184745 | − | 0.261634i | ||||
\(75\) | 8.60949 | − | 0.188848i | 0.994138 | − | 0.0218063i | ||||
\(76\) | 1.06282 | − | 0.499482i | 0.121914 | − | 0.0572945i | ||||
\(77\) | −2.00693 | + | 0.608794i | −0.228710 | + | 0.0693785i | ||||
\(78\) | −2.79371 | + | 13.7683i | −0.316325 | + | 1.55895i | ||||
\(79\) | 4.45493 | + | 10.7552i | 0.501219 | + | 1.21005i | 0.948820 | + | 0.315817i | \(0.102278\pi\) |
−0.447601 | + | 0.894233i | \(0.647722\pi\) | |||||||
\(80\) | −0.00329835 | + | 0.670700i | −0.000368767 | + | 0.0749865i | ||||
\(81\) | −6.89706 | − | 5.78192i | −0.766339 | − | 0.642436i | ||||
\(82\) | −7.01661 | − | 3.98626i | −0.774855 | − | 0.440209i | ||||
\(83\) | 7.46140 | + | 3.98820i | 0.818995 | + | 0.437762i | 0.826997 | − | 0.562206i | \(-0.190047\pi\) |
−0.00800217 | + | 0.999968i | \(0.502547\pi\) | |||||||
\(84\) | 5.49572 | − | 0.924914i | 0.599632 | − | 0.100916i | ||||
\(85\) | −0.429115 | − | 0.352165i | −0.0465440 | − | 0.0381977i | ||||
\(86\) | −1.87911 | + | 8.32020i | −0.202630 | + | 0.897191i | ||||
\(87\) | −7.05319 | − | 12.5268i | −0.756181 | − | 1.34301i | ||||
\(88\) | −3.67615 | − | 0.284805i | −0.391879 | − | 0.0303603i | ||||
\(89\) | −7.70086 | − | 5.14555i | −0.816290 | − | 0.545427i | 0.0758856 | − | 0.997117i | \(-0.475822\pi\) |
−0.892175 | + | 0.451689i | \(0.850822\pi\) | |||||||
\(90\) | −0.126142 | + | 0.700120i | −0.0132966 | + | 0.0737991i | ||||
\(91\) | −4.34961 | − | 8.13755i | −0.455963 | − | 0.853047i | ||||
\(92\) | −2.69785 | − | 0.139188i | −0.281271 | − | 0.0145113i | ||||
\(93\) | −0.592109 | − | 0.104335i | −0.0613988 | − | 0.0108190i | ||||
\(94\) | −13.0211 | + | 0.944402i | −1.34303 | + | 0.0974077i | ||||
\(95\) | −0.0696179 | − | 0.0696179i | −0.00714265 | − | 0.00714265i | ||||
\(96\) | 9.59258 | + | 1.99559i | 0.979039 | + | 0.203674i | ||||
\(97\) | −5.99533 | + | 5.99533i | −0.608734 | + | 0.608734i | −0.942615 | − | 0.333881i | \(-0.891642\pi\) |
0.333881 | + | 0.942615i | \(0.391642\pi\) | |||||||
\(98\) | 4.08110 | − | 4.71938i | 0.412253 | − | 0.476730i | ||||
\(99\) | −3.78861 | − | 0.970061i | −0.380769 | − | 0.0974948i | ||||
\(100\) | −9.37071 | + | 3.32692i | −0.937071 | + | 0.332692i | ||||
\(101\) | 6.90370 | − | 3.69010i | 0.686944 | − | 0.367179i | −0.0907051 | − | 0.995878i | \(-0.528912\pi\) |
0.777649 | + | 0.628699i | \(0.216412\pi\) | |||||||
\(102\) | −6.28839 | + | 5.12045i | −0.622644 | + | 0.507000i | ||||
\(103\) | −3.88592 | + | 5.81570i | −0.382891 | + | 0.573037i | −0.971990 | − | 0.235024i | \(-0.924483\pi\) |
0.589098 | + | 0.808061i | \(0.299483\pi\) | |||||||
\(104\) | −1.92637 | − | 16.1074i | −0.188897 | − | 1.57946i | ||||
\(105\) | −0.229235 | − | 0.407133i | −0.0223711 | − | 0.0397321i | ||||
\(106\) | 2.86833 | + | 4.54193i | 0.278596 | + | 0.441151i | ||||
\(107\) | 9.31797 | − | 11.3540i | 0.900802 | − | 1.09763i | −0.0939766 | − | 0.995574i | \(-0.529958\pi\) |
0.994779 | − | 0.102056i | \(-0.0325421\pi\) | |||||||
\(108\) | 9.65692 | + | 3.83977i | 0.929238 | + | 0.369482i | ||||
\(109\) | −3.05415 | + | 5.71391i | −0.292534 | + | 0.547293i | −0.984660 | − | 0.174484i | \(-0.944174\pi\) |
0.692126 | + | 0.721777i | \(0.256674\pi\) | |||||||
\(110\) | 0.0820815 | + | 0.298029i | 0.00782617 | + | 0.0284160i | ||||
\(111\) | −1.52505 | + | 3.01014i | −0.144751 | + | 0.285710i | ||||
\(112\) | −5.69015 | + | 3.00557i | −0.537669 | + | 0.283999i | ||||
\(113\) | 4.61642 | − | 1.91218i | 0.434276 | − | 0.179883i | −0.154826 | − | 0.987942i | \(-0.549482\pi\) |
0.589102 | + | 0.808059i | \(0.299482\pi\) | |||||||
\(114\) | −1.19893 | + | 0.794456i | −0.112290 | + | 0.0744076i | ||||
\(115\) | 0.0657450 | + | 0.216732i | 0.00613076 | + | 0.0202104i | ||||
\(116\) | 12.2723 | + | 11.1780i | 1.13945 | + | 1.03786i | ||||
\(117\) | 0.934046 | − | 17.1809i | 0.0863526 | − | 1.58837i | ||||
\(118\) | 4.97008 | − | 0.856097i | 0.457533 | − | 0.0788101i | ||||
\(119\) | 1.03908 | − | 5.22381i | 0.0952524 | − | 0.478866i | ||||
\(120\) | −0.115409 | − | 0.813298i | −0.0105354 | − | 0.0742436i | ||||
\(121\) | 9.12190 | − | 1.81446i | 0.829263 | − | 0.164951i | ||||
\(122\) | 15.3709 | + | 6.83607i | 1.39162 | + | 0.618909i | ||||
\(123\) | 9.21197 | + | 3.58112i | 0.830615 | + | 0.322899i | ||||
\(124\) | 0.686976 | − | 0.100177i | 0.0616922 | − | 0.00899620i | ||||
\(125\) | 1.06074 | + | 1.29252i | 0.0948755 | + | 0.115606i | ||||
\(126\) | −6.49470 | + | 2.09917i | −0.578594 | + | 0.187009i | ||||
\(127\) | 8.51468i | 0.755556i | 0.925896 | + | 0.377778i | \(0.123312\pi\) | ||||
−0.925896 | + | 0.377778i | \(0.876688\pi\) | |||||||
\(128\) | −11.2401 | + | 1.28823i | −0.993496 | + | 0.113865i | ||||
\(129\) | 0.795727 | − | 10.4164i | 0.0700598 | − | 0.917116i | ||||
\(130\) | −1.21558 | + | 0.609997i | −0.106613 | + | 0.0535003i | ||||
\(131\) | 10.2221 | − | 8.38908i | 0.893112 | − | 0.732958i | −0.0712744 | − | 0.997457i | \(-0.522707\pi\) |
0.964386 | + | 0.264499i | \(0.0852066\pi\) | |||||||
\(132\) | 4.50522 | − | 0.309363i | 0.392129 | − | 0.0269266i | ||||
\(133\) | 0.274212 | − | 0.903955i | 0.0237772 | − | 0.0783828i | ||||
\(134\) | −7.04218 | + | 15.8343i | −0.608352 | + | 1.36788i | ||||
\(135\) | 0.0282075 | − | 0.870818i | 0.00242771 | − | 0.0749481i | ||||
\(136\) | 5.03884 | − | 7.89265i | 0.432077 | − | 0.676789i | ||||
\(137\) | −8.20536 | − | 1.63215i | −0.701031 | − | 0.139444i | −0.168309 | − | 0.985734i | \(-0.553831\pi\) |
−0.532722 | + | 0.846291i | \(0.678831\pi\) | |||||||
\(138\) | 3.29387 | − | 0.311645i | 0.280393 | − | 0.0265290i | ||||
\(139\) | 18.7996 | − | 1.85160i | 1.59456 | − | 0.157050i | 0.738619 | − | 0.674123i | \(-0.235478\pi\) |
0.855941 | + | 0.517073i | \(0.172978\pi\) | |||||||
\(140\) | 0.398861 | + | 0.363297i | 0.0337099 | + | 0.0307042i | ||||
\(141\) | 15.6100 | − | 3.46254i | 1.31460 | − | 0.291599i | ||||
\(142\) | 4.70663 | + | 6.04630i | 0.394971 | + | 0.507394i | ||||
\(143\) | −2.86122 | − | 6.90760i | −0.239268 | − | 0.577643i | ||||
\(144\) | −11.9790 | − | 0.710341i | −0.998246 | − | 0.0591951i | ||||
\(145\) | 0.532586 | − | 1.28578i | 0.0442288 | − | 0.106778i | ||||
\(146\) | 9.48955 | − | 2.61356i | 0.785361 | − | 0.216299i | ||||
\(147\) | −4.10501 | + | 6.44521i | −0.338576 | + | 0.531592i | ||||
\(148\) | 0.581203 | − | 3.85286i | 0.0477746 | − | 0.316703i | ||||
\(149\) | −15.2229 | − | 12.4931i | −1.24711 | − | 1.02348i | −0.998493 | − | 0.0548749i | \(-0.982524\pi\) |
−0.248617 | − | 0.968602i | \(-0.579976\pi\) | |||||||
\(150\) | 10.7625 | − | 5.69964i | 0.878756 | − | 0.465374i | ||||
\(151\) | 10.9984 | − | 7.34892i | 0.895040 | − | 0.598047i | −0.0207141 | − | 0.999785i | \(-0.506594\pi\) |
0.915754 | + | 0.401739i | \(0.131594\pi\) | |||||||
\(152\) | 1.02658 | − | 1.30548i | 0.0832663 | − | 0.105888i | ||||
\(153\) | 6.70827 | − | 7.32417i | 0.542331 | − | 0.592124i | ||||
\(154\) | −2.15058 | + | 2.04249i | −0.173299 | + | 0.164588i | ||||
\(155\) | −0.0274372 | − | 0.0513315i | −0.00220381 | − | 0.00412304i | ||||
\(156\) | 5.20189 | + | 19.1750i | 0.416485 | + | 1.53523i | ||||
\(157\) | −6.92657 | − | 0.682208i | −0.552801 | − | 0.0544461i | −0.182240 | − | 0.983254i | \(-0.558335\pi\) |
−0.370561 | + | 0.928808i | \(0.620835\pi\) | |||||||
\(158\) | 12.4529 | + | 10.7687i | 0.990701 | + | 0.856711i | ||||
\(159\) | −4.28426 | − | 4.99296i | −0.339764 | − | 0.395968i | ||||
\(160\) | 0.421251 | + | 0.849850i | 0.0333028 | + | 0.0671866i | ||||
\(161\) | −1.53656 | + | 1.53656i | −0.121098 | + | 0.121098i | ||||
\(162\) | −12.3852 | − | 2.93354i | −0.973077 | − | 0.230481i | ||||
\(163\) | −19.8142 | − | 1.95153i | −1.55197 | − | 0.152856i | −0.714616 | − | 0.699517i | \(-0.753399\pi\) |
−0.837354 | + | 0.546661i | \(0.815899\pi\) | |||||||
\(164\) | −11.3974 | − | 0.588014i | −0.889987 | − | 0.0459162i | ||||
\(165\) | −0.152520 | − | 0.346520i | −0.0118737 | − | 0.0269765i | ||||
\(166\) | 11.9608 | + | 0.308336i | 0.928340 | + | 0.0239315i | ||||
\(167\) | −0.514610 | + | 0.770169i | −0.0398217 | + | 0.0595974i | −0.850846 | − | 0.525415i | \(-0.823910\pi\) |
0.811025 | + | 0.585012i | \(0.198910\pi\) | |||||||
\(168\) | 6.35987 | − | 4.65498i | 0.490675 | − | 0.359140i | ||||
\(169\) | 16.5421 | − | 11.0531i | 1.27247 | − | 0.850235i | ||||
\(170\) | −0.765773 | − | 0.172949i | −0.0587321 | − | 0.0132646i | ||||
\(171\) | 1.31135 | − | 1.17612i | 0.100282 | − | 0.0899401i | ||||
\(172\) | 2.90227 | + | 11.7086i | 0.221296 | + | 0.892770i | ||||
\(173\) | −10.7409 | + | 20.0948i | −0.816617 | + | 1.52778i | 0.0324354 | + | 0.999474i | \(0.489674\pi\) |
−0.849052 | + | 0.528309i | \(0.822826\pi\) | |||||||
\(174\) | −16.8608 | − | 11.3600i | −1.27822 | − | 0.861198i | ||||
\(175\) | −3.06097 | + | 7.38985i | −0.231388 | + | 0.558620i | ||||
\(176\) | −4.82727 | + | 1.97176i | −0.363869 | + | 0.148627i | ||||
\(177\) | −5.87001 | + | 1.92220i | −0.441217 | + | 0.144481i | ||||
\(178\) | −12.9976 | − | 1.61933i | −0.974212 | − | 0.121374i | ||||
\(179\) | 0.427130 | + | 1.40806i | 0.0319252 | + | 0.105243i | 0.971455 | − | 0.237224i | \(-0.0762375\pi\) |
−0.939530 | + | 0.342467i | \(0.888737\pi\) | |||||||
\(180\) | 0.284639 | + | 0.964956i | 0.0212157 | + | 0.0719236i | ||||
\(181\) | −15.3838 | + | 1.51518i | −1.14347 | + | 0.112622i | −0.651963 | − | 0.758251i | \(-0.726054\pi\) |
−0.491509 | + | 0.870873i | \(0.663554\pi\) | |||||||
\(182\) | −10.6595 | − | 7.52686i | −0.790132 | − | 0.557928i | ||||
\(183\) | −19.8425 | − | 5.54701i | −1.46680 | − | 0.410047i | ||||
\(184\) | −3.49835 | + | 1.53530i | −0.257902 | + | 0.113184i | ||||
\(185\) | −0.320395 | + | 0.0637306i | −0.0235559 | + | 0.00468556i | ||||
\(186\) | −0.814598 | + | 0.243692i | −0.0597293 | + | 0.0178684i | ||||
\(187\) | 1.25281 | − | 4.12997i | 0.0916147 | − | 0.302013i | ||||
\(188\) | −15.8596 | + | 9.45293i | −1.15668 | + | 0.689426i | ||||
\(189\) | 7.49615 | − | 3.69990i | 0.545264 | − | 0.269128i | ||||
\(190\) | −0.132155 | − | 0.0438383i | −0.00958750 | − | 0.00318036i | ||||
\(191\) | − | 13.7923i | − | 0.997976i | −0.866609 | − | 0.498988i | \(-0.833705\pi\) | ||
0.866609 | − | 0.498988i | \(-0.166295\pi\) | |||||||
\(192\) | 13.3907 | − | 3.56210i | 0.966392 | − | 0.257073i | ||||
\(193\) | 8.07184i | 0.581024i | 0.956871 | + | 0.290512i | \(0.0938256\pi\) | ||||
−0.956871 | + | 0.290512i | \(0.906174\pi\) | |||||||
\(194\) | −3.77525 | + | 11.3808i | −0.271047 | + | 0.817097i | ||||
\(195\) | 1.36436 | − | 0.955567i | 0.0977037 | − | 0.0684296i | ||||
\(196\) | 2.16500 | − | 8.55387i | 0.154643 | − | 0.610990i | ||||
\(197\) | −7.23264 | + | 23.8428i | −0.515304 | + | 1.69873i | 0.183158 | + | 0.983083i | \(0.441368\pi\) |
−0.698462 | + | 0.715647i | \(0.746132\pi\) | |||||||
\(198\) | −5.40407 | + | 1.17694i | −0.384050 | + | 0.0836415i | ||||
\(199\) | 2.91158 | − | 0.579149i | 0.206396 | − | 0.0410548i | −0.0908092 | − | 0.995868i | \(-0.528945\pi\) |
0.297206 | + | 0.954814i | \(0.403945\pi\) | |||||||
\(200\) | −9.73424 | + | 10.1490i | −0.688315 | + | 0.717641i | ||||
\(201\) | 5.71425 | − | 20.4408i | 0.403052 | − | 1.44178i | ||||
\(202\) | 6.38561 | − | 9.04323i | 0.449290 | − | 0.636279i | ||||
\(203\) | 13.2886 | − | 1.30881i | 0.932677 | − | 0.0918606i | ||||
\(204\) | −4.70061 | + | 10.4609i | −0.329108 | + | 0.732408i | ||||
\(205\) | 0.277747 | + | 0.915611i | 0.0193987 | + | 0.0639490i | ||||
\(206\) | −1.22292 | + | 9.81580i | −0.0852046 | + | 0.683899i | ||||
\(207\) | −3.93581 | + | 0.964045i | −0.273558 | + | 0.0670058i | ||||
\(208\) | −12.6517 | − | 19.1377i | −0.877240 | − | 1.32696i | ||||
\(209\) | 0.292920 | − | 0.707173i | 0.0202617 | − | 0.0489162i | ||||
\(210\) | −0.547993 | − | 0.369210i | −0.0378151 | − | 0.0254779i | ||||
\(211\) | 11.8179 | − | 22.1098i | 0.813581 | − | 1.52210i | −0.0388400 | − | 0.999245i | \(-0.512366\pi\) |
0.852421 | − | 0.522857i | \(-0.175134\pi\) | |||||||
\(212\) | 6.50645 | + | 3.92159i | 0.446865 | + | 0.269336i | ||||
\(213\) | −6.77963 | − | 6.48859i | −0.464532 | − | 0.444591i | ||||
\(214\) | 4.57608 | − | 20.2616i | 0.312814 | − | 1.38506i | ||||
\(215\) | 0.840895 | − | 0.561868i | 0.0573485 | − | 0.0383191i | ||||
\(216\) | 14.6418 | − | 1.27189i | 0.996248 | − | 0.0865412i | ||||
\(217\) | 0.310255 | − | 0.464329i | 0.0210615 | − | 0.0315207i | ||||
\(218\) | −0.236123 | + | 9.15955i | −0.0159922 | + | 0.620363i | ||||
\(219\) | −11.0335 | + | 4.85638i | −0.745577 | + | 0.328164i | ||||
\(220\) | 0.292788 | + | 0.324643i | 0.0197398 | + | 0.0218874i | ||||
\(221\) | 18.8966 | + | 1.86115i | 1.27112 | + | 0.125195i | ||||
\(222\) | −0.0183333 | + | 4.77212i | −0.00123045 | + | 0.320284i | ||||
\(223\) | −11.2434 | + | 11.2434i | −0.752916 | + | 0.752916i | −0.975022 | − | 0.222106i | \(-0.928707\pi\) |
0.222106 | + | 0.975022i | \(0.428707\pi\) | |||||||
\(224\) | −5.28589 | + | 7.40823i | −0.353178 | + | 0.494983i | ||||
\(225\) | −12.0266 | + | 8.82253i | −0.801775 | + | 0.588169i | ||||
\(226\) | 4.62223 | − | 5.34515i | 0.307466 | − | 0.355554i | ||||
\(227\) | −12.9139 | − | 1.27191i | −0.857124 | − | 0.0844193i | −0.340099 | − | 0.940390i | \(-0.610461\pi\) |
−0.517025 | + | 0.855970i | \(0.672961\pi\) | |||||||
\(228\) | −1.01152 | + | 1.76466i | −0.0669897 | + | 0.116867i | ||||
\(229\) | −2.89316 | − | 5.41272i | −0.191185 | − | 0.357683i | 0.768005 | − | 0.640444i | \(-0.221250\pi\) |
−0.959190 | + | 0.282761i | \(0.908750\pi\) | |||||||
\(230\) | 0.220573 | + | 0.232246i | 0.0145441 | + | 0.0153139i | ||||
\(231\) | 2.24231 | − | 2.85783i | 0.147533 | − | 0.188031i | ||||
\(232\) | 22.6022 | + | 6.34472i | 1.48391 | + | 0.416551i | ||||
\(233\) | 21.0691 | − | 14.0779i | 1.38028 | − | 0.922276i | 0.380287 | − | 0.924868i | \(-0.375825\pi\) |
0.999997 | + | 0.00259196i | \(0.000825047\pi\) | |||||||
\(234\) | −9.71708 | − | 22.3089i | −0.635225 | − | 1.45838i | ||||
\(235\) | 1.19655 | + | 0.981985i | 0.0780545 | + | 0.0640577i | ||||
\(236\) | 5.73911 | − | 4.23458i | 0.373585 | − | 0.275648i | ||||
\(237\) | −17.0068 | − | 10.8318i | −1.10471 | − | 0.703601i | ||||
\(238\) | −2.00004 | − | 7.26193i | −0.129643 | − | 0.470721i | ||||
\(239\) | −3.88561 | + | 9.38069i | −0.251339 | + | 0.606786i | −0.998313 | − | 0.0580674i | \(-0.981506\pi\) |
0.746974 | + | 0.664854i | \(0.231506\pi\) | |||||||
\(240\) | −0.661745 | − | 0.954798i | −0.0427155 | − | 0.0616320i | ||||
\(241\) | 3.85509 | + | 9.30701i | 0.248328 | + | 0.599517i | 0.998062 | − | 0.0622217i | \(-0.0198186\pi\) |
−0.749734 | + | 0.661739i | \(0.769819\pi\) | |||||||
\(242\) | 10.3791 | − | 8.07941i | 0.667193 | − | 0.519364i | ||||
\(243\) | 15.5299 | + | 1.34971i | 0.996245 | + | 0.0865840i | ||||
\(244\) | 23.7647 | − | 1.10892i | 1.52138 | − | 0.0709912i | ||||
\(245\) | −0.736195 | + | 0.0725088i | −0.0470338 | + | 0.00463242i | ||||
\(246\) | 13.9153 | − | 1.31658i | 0.887208 | − | 0.0839422i | ||||
\(247\) | 3.30295 | + | 0.656997i | 0.210161 | + | 0.0418037i | ||||
\(248\) | 0.804789 | − | 0.562367i | 0.0511041 | − | 0.0357103i | ||||
\(249\) | −14.5483 | + | 1.75579i | −0.921959 | + | 0.111268i | ||||
\(250\) | 2.16060 | + | 0.960908i | 0.136648 | + | 0.0607732i | ||||
\(251\) | 3.86493 | − | 12.7410i | 0.243952 | − | 0.804202i | −0.746384 | − | 0.665515i | \(-0.768212\pi\) |
0.990336 | − | 0.138687i | \(-0.0442882\pi\) | |||||||
\(252\) | −6.87776 | + | 6.77287i | −0.433258 | + | 0.426651i | ||||
\(253\) | −1.36113 | + | 1.11705i | −0.0855732 | + | 0.0702281i | ||||
\(254\) | 5.40080 | + | 10.7625i | 0.338876 | + | 0.675298i | ||||
\(255\) | 0.958705 | + | 0.0732369i | 0.0600365 | + | 0.00458627i | ||||
\(256\) | −13.3903 | + | 8.75785i | −0.836894 | + | 0.547366i | ||||
\(257\) | − | 10.4702i | − | 0.653112i | −0.945178 | − | 0.326556i | \(-0.894112\pi\) | ||
0.945178 | − | 0.326556i | \(-0.105888\pi\) | |||||||
\(258\) | −5.60128 | − | 13.6710i | −0.348720 | − | 0.851119i | ||||
\(259\) | −1.98837 | − | 2.42283i | −0.123551 | − | 0.150547i | ||||
\(260\) | −1.14956 | + | 1.54206i | −0.0712926 | + | 0.0956346i | ||||
\(261\) | 22.4533 | + | 10.7635i | 1.38983 | + | 0.666246i | ||||
\(262\) | 7.59954 | − | 17.0875i | 0.469501 | − | 1.05567i | ||||
\(263\) | −1.04856 | + | 0.208572i | −0.0646571 | + | 0.0128611i | −0.227313 | − | 0.973822i | \(-0.572994\pi\) |
0.162656 | + | 0.986683i | \(0.447994\pi\) | |||||||
\(264\) | 5.49834 | − | 3.24866i | 0.338399 | − | 0.199941i | ||||
\(265\) | 0.124255 | − | 0.624674i | 0.00763294 | − | 0.0383734i | ||||
\(266\) | −0.226771 | − | 1.31652i | −0.0139042 | − | 0.0807211i | ||||
\(267\) | 16.0380 | − | 0.351791i | 0.981507 | − | 0.0215293i | ||||
\(268\) | 1.14235 | + | 24.4813i | 0.0697803 | + | 1.49543i | ||||
\(269\) | 2.69561 | + | 8.88624i | 0.164354 | + | 0.541804i | 0.999972 | − | 0.00750803i | \(-0.00238990\pi\) |
−0.835617 | + | 0.549312i | \(0.814890\pi\) | |||||||
\(270\) | −0.516700 | − | 1.11860i | −0.0314453 | − | 0.0680757i | ||||
\(271\) | 12.3457 | − | 5.11376i | 0.749948 | − | 0.310639i | 0.0252276 | − | 0.999682i | \(-0.491969\pi\) |
0.724720 | + | 0.689043i | \(0.241969\pi\) | |||||||
\(272\) | 1.36280 | − | 13.1723i | 0.0826319 | − | 0.798690i | ||||
\(273\) | 14.2565 | + | 7.22284i | 0.862841 | + | 0.437146i | ||||
\(274\) | −11.4068 | + | 3.14158i | −0.689107 | + | 0.189790i | ||||
\(275\) | −3.05531 | + | 5.71608i | −0.184242 | + | 0.344692i | ||||
\(276\) | 3.96574 | − | 2.48319i | 0.238710 | − | 0.149471i | ||||
\(277\) | −14.7239 | + | 17.9412i | −0.884676 | + | 1.07798i | 0.111769 | + | 0.993734i | \(0.464348\pi\) |
−0.996445 | + | 0.0842469i | \(0.973152\pi\) | |||||||
\(278\) | 22.5880 | − | 14.2648i | 1.35474 | − | 0.855549i | ||||
\(279\) | 0.943693 | − | 0.440315i | 0.0564974 | − | 0.0263610i | ||||
\(280\) | 0.734593 | + | 0.206209i | 0.0439004 | + | 0.0123234i | ||||
\(281\) | −15.8962 | + | 23.7903i | −0.948285 | + | 1.41921i | −0.0407797 | + | 0.999168i | \(0.512984\pi\) |
−0.907505 | + | 0.420041i | \(0.862016\pi\) | |||||||
\(282\) | 17.5347 | − | 14.2780i | 1.04418 | − | 0.850240i | ||||
\(283\) | 19.8259 | − | 10.5972i | 1.17853 | − | 0.629936i | 0.238536 | − | 0.971134i | \(-0.423333\pi\) |
0.939991 | + | 0.341198i | \(0.110833\pi\) | |||||||
\(284\) | 9.78426 | + | 4.65708i | 0.580589 | + | 0.276347i | ||||
\(285\) | 0.167941 | + | 0.0295927i | 0.00994797 | + | 0.00175292i | ||||
\(286\) | −7.99800 | − | 6.91629i | −0.472932 | − | 0.408969i | ||||
\(287\) | −6.49138 | + | 6.49138i | −0.383174 | + | 0.383174i | ||||
\(288\) | −15.5919 | + | 6.70030i | −0.918759 | + | 0.394819i | ||||
\(289\) | −4.27059 | − | 4.27059i | −0.251211 | − | 0.251211i | ||||
\(290\) | −0.142375 | − | 1.96302i | −0.00836055 | − | 0.115273i | ||||
\(291\) | 2.54845 | − | 14.4627i | 0.149393 | − | 0.847818i | ||||
\(292\) | 10.3369 | − | 9.32266i | 0.604924 | − | 0.545568i | ||||
\(293\) | 9.70757 | + | 18.1616i | 0.567122 | + | 1.06101i | 0.988081 | + | 0.153932i | \(0.0491936\pi\) |
−0.420959 | + | 0.907080i | \(0.638306\pi\) | |||||||
\(294\) | −1.10055 | + | 10.7505i | −0.0641851 | + | 0.626980i | ||||
\(295\) | −0.497184 | − | 0.332208i | −0.0289472 | − | 0.0193419i | ||||
\(296\) | −1.70920 | − | 5.23863i | −0.0993455 | − | 0.304489i | ||||
\(297\) | 6.33877 | − | 2.38824i | 0.367813 | − | 0.138580i | ||||
\(298\) | −27.1659 | − | 6.13541i | −1.57368 | − | 0.355415i | ||||
\(299\) | −5.98847 | − | 4.91461i | −0.346322 | − | 0.284219i | ||||
\(300\) | 9.98849 | − | 14.0309i | 0.576686 | − | 0.810073i | ||||
\(301\) | 8.55758 | + | 4.57412i | 0.493251 | + | 0.263648i | ||||
\(302\) | 9.24056 | − | 16.2652i | 0.531734 | − | 0.935957i | ||||
\(303\) | −6.12769 | + | 12.0948i | −0.352026 | + | 0.694831i | ||||
\(304\) | 0.469526 | − | 2.30126i | 0.0269292 | − | 0.131987i | ||||
\(305\) | −0.763288 | − | 1.84274i | −0.0437057 | − | 0.105515i | ||||
\(306\) | 3.83352 | − | 13.5127i | 0.219148 | − | 0.772469i | ||||
\(307\) | −13.5277 | + | 4.10359i | −0.772069 | + | 0.234204i | −0.651651 | − | 0.758519i | \(-0.725923\pi\) |
−0.120418 | + | 0.992723i | \(0.538423\pi\) | |||||||
\(308\) | −1.42278 | + | 3.94579i | −0.0810703 | + | 0.224832i | ||||
\(309\) | −0.265673 | − | 12.1119i | −0.0151136 | − | 0.689021i | ||||
\(310\) | −0.0672396 | − | 0.0474792i | −0.00381895 | − | 0.00269664i | ||||
\(311\) | 1.90269 | + | 0.378469i | 0.107892 | + | 0.0214610i | 0.248741 | − | 0.968570i | \(-0.419983\pi\) |
−0.140849 | + | 0.990031i | \(0.544983\pi\) | |||||||
\(312\) | 18.7377 | + | 20.9375i | 1.06081 | + | 1.18535i | ||||
\(313\) | −4.01745 | − | 20.1971i | −0.227079 | − | 1.14161i | −0.911114 | − | 0.412155i | \(-0.864776\pi\) |
0.684034 | − | 0.729450i | \(-0.260224\pi\) | |||||||
\(314\) | −9.18784 | + | 3.53117i | −0.518500 | + | 0.199276i | ||||
\(315\) | 0.729754 | + | 0.349825i | 0.0411170 | + | 0.0197104i | ||||
\(316\) | 22.5709 | + | 5.71273i | 1.26971 | + | 0.321366i | ||||
\(317\) | 15.2883 | − | 12.5468i | 0.858679 | − | 0.704700i | −0.0982063 | − | 0.995166i | \(-0.531311\pi\) |
0.956885 | + | 0.290467i | \(0.0938105\pi\) | |||||||
\(318\) | −8.58227 | − | 3.59358i | −0.481270 | − | 0.201518i | ||||
\(319\) | 10.8199 | 0.605799 | ||||||||
\(320\) | 1.07151 | + | 0.807006i | 0.0598993 | + | 0.0451130i | ||||
\(321\) | −1.93778 | + | 25.3665i | −0.108156 | + | 1.41582i | ||||
\(322\) | −0.967569 | + | 2.91683i | −0.0539205 | + | 0.162548i | ||||
\(323\) | 1.23321 | + | 1.50267i | 0.0686175 | + | 0.0836106i | ||||
\(324\) | −17.5156 | + | 4.14790i | −0.973087 | + | 0.230439i | ||||
\(325\) | −27.2879 | − | 8.27770i | −1.51366 | − | 0.459164i | ||||
\(326\) | −26.2828 | + | 10.1013i | −1.45567 | + | 0.559460i | ||||
\(327\) | −1.34457 | − | 11.1410i | −0.0743551 | − | 0.616099i | ||||
\(328\) | −14.7792 | + | 6.48604i | −0.816043 | + | 0.358132i | ||||
\(329\) | −2.89740 | + | 14.5662i | −0.159739 | + | 0.803060i | ||||
\(330\) | −0.412579 | − | 0.341256i | −0.0227117 | − | 0.0187855i | ||||
\(331\) | 1.01833 | + | 10.3393i | 0.0559725 | + | 0.568298i | 0.981743 | + | 0.190212i | \(0.0609176\pi\) |
−0.925771 | + | 0.378086i | \(0.876582\pi\) | |||||||
\(332\) | 15.3140 | − | 7.19693i | 0.840462 | − | 0.394983i | ||||
\(333\) | −0.827374 | − | 5.78581i | −0.0453398 | − | 0.317061i | ||||
\(334\) | −0.161950 | + | 1.29990i | −0.00886151 | + | 0.0711274i | ||||
\(335\) | 1.89830 | − | 0.786301i | 0.103715 | − | 0.0429602i | ||||
\(336\) | 5.08620 | − | 9.91788i | 0.277475 | − | 0.541064i | ||||
\(337\) | −1.69360 | − | 0.701512i | −0.0922563 | − | 0.0382138i | 0.336078 | − | 0.941834i | \(-0.390899\pi\) |
−0.428334 | + | 0.903620i | \(0.640899\pi\) | |||||||
\(338\) | 13.8981 | − | 24.4635i | 0.755959 | − | 1.33064i | ||||
\(339\) | −4.64931 | + | 7.29981i | −0.252516 | + | 0.396471i | ||||
\(340\) | −1.07763 | + | 0.267118i | −0.0584427 | + | 0.0144865i | ||||
\(341\) | 0.287069 | − | 0.349795i | 0.0155457 | − | 0.0189424i | ||||
\(342\) | 0.911533 | − | 2.31839i | 0.0492900 | − | 0.125364i | ||||
\(343\) | −10.1998 | − | 15.2651i | −0.550738 | − | 0.824238i | ||||
\(344\) | 11.0951 | + | 12.9586i | 0.598208 | + | 0.698683i | ||||
\(345\) | −0.308623 | − | 0.242152i | −0.0166157 | − | 0.0130370i | ||||
\(346\) | −0.830403 | + | 32.2126i | −0.0446427 | + | 1.73176i | ||||
\(347\) | −25.1008 | + | 13.4167i | −1.34748 | + | 0.720244i | −0.977923 | − | 0.208964i | \(-0.932991\pi\) |
−0.369558 | + | 0.929208i | \(0.620491\pi\) | |||||||
\(348\) | −28.5175 | − | 3.66421i | −1.52870 | − | 0.196422i | ||||
\(349\) | −1.40356 | + | 14.2506i | −0.0751309 | + | 0.762816i | 0.881630 | + | 0.471941i | \(0.156446\pi\) |
−0.956761 | + | 0.290875i | \(0.906054\pi\) | |||||||
\(350\) | 0.818284 | + | 11.2823i | 0.0437391 | + | 0.603062i | ||||
\(351\) | 15.7462 | + | 25.3026i | 0.840472 | + | 1.35055i | ||||
\(352\) | −4.85094 | + | 5.55419i | −0.258556 | + | 0.296039i | ||||
\(353\) | −8.81793 | − | 8.81793i | −0.469331 | − | 0.469331i | 0.432367 | − | 0.901698i | \(-0.357679\pi\) |
−0.901698 | + | 0.432367i | \(0.857679\pi\) | |||||||
\(354\) | −6.20040 | + | 6.15294i | −0.329548 | + | 0.327025i | ||||
\(355\) | 0.0890465 | − | 0.904104i | 0.00472610 | − | 0.0479849i | ||||
\(356\) | −17.4560 | + | 6.19748i | −0.925165 | + | 0.328466i | ||||
\(357\) | 3.71638 | + | 8.44348i | 0.196691 | + | 0.446876i | ||||
\(358\) | 1.43301 | + | 1.50885i | 0.0757370 | + | 0.0797452i | ||||
\(359\) | 12.2313 | + | 8.17267i | 0.645541 | + | 0.431337i | 0.834772 | − | 0.550596i | \(-0.185599\pi\) |
−0.189231 | + | 0.981933i | \(0.560599\pi\) | |||||||
\(360\) | 0.971845 | + | 1.03915i | 0.0512208 | + | 0.0547681i | ||||
\(361\) | −10.3643 | − | 15.5113i | −0.545489 | − | 0.816382i | ||||
\(362\) | −18.4840 | + | 11.6730i | −0.971496 | + | 0.613521i | ||||
\(363\) | −11.1383 | + | 11.6379i | −0.584611 | + | 0.610833i | ||||
\(364\) | −18.2477 | − | 2.75266i | −0.956439 | − | 0.144279i | ||||
\(365\) | −1.02922 | − | 0.550132i | −0.0538721 | − | 0.0287952i | ||||
\(366\) | −28.5992 | + | 5.57460i | −1.49490 | + | 0.291389i | ||||
\(367\) | 34.2855 | + | 14.2015i | 1.78969 | + | 0.741313i | 0.990030 | + | 0.140859i | \(0.0449866\pi\) |
0.799659 | + | 0.600454i | \(0.205013\pi\) | |||||||
\(368\) | −3.44805 | + | 4.15958i | −0.179742 | + | 0.216833i | ||||
\(369\) | −16.6273 | + | 4.07272i | −0.865583 | + | 0.212017i | ||||
\(370\) | −0.364553 | + | 0.283779i | −0.0189522 | + | 0.0147530i | ||||
\(371\) | 5.84777 | − | 1.77390i | 0.303601 | − | 0.0920963i | ||||
\(372\) | −0.875073 | + | 0.824719i | −0.0453704 | + | 0.0427597i | ||||
\(373\) | −2.48078 | − | 25.1878i | −0.128450 | − | 1.30417i | −0.816006 | − | 0.578043i | \(-0.803817\pi\) |
0.687557 | − | 0.726131i | \(-0.258683\pi\) | |||||||
\(374\) | −1.03607 | − | 6.01489i | −0.0535738 | − | 0.311023i | ||||
\(375\) | −2.78915 | − | 0.779711i | −0.144031 | − | 0.0402641i | ||||
\(376\) | −14.0504 | + | 22.0080i | −0.724595 | + | 1.13498i | ||||
\(377\) | 9.28703 | + | 46.6891i | 0.478306 | + | 2.40461i | ||||
\(378\) | 7.12824 | − | 9.43139i | 0.366637 | − | 0.485098i | ||||
\(379\) | −10.8344 | − | 3.28658i | −0.556525 | − | 0.168820i | −0.000521514 | − | 1.00000i | \(-0.500166\pi\) |
−0.556004 | + | 0.831180i | \(0.687666\pi\) | |||||||
\(380\) | −0.194848 | + | 0.0284136i | −0.00999551 | + | 0.00145759i | ||||
\(381\) | −8.46041 | − | 12.0798i | −0.433440 | − | 0.618865i | ||||
\(382\) | −8.74836 | − | 17.4333i | −0.447605 | − | 0.891967i | ||||
\(383\) | 10.5248 | 0.537795 | 0.268897 | − | 0.963169i | \(-0.413341\pi\) | ||||
0.268897 | + | 0.963169i | \(0.413341\pi\) | |||||||
\(384\) | 14.6663 | − | 12.9961i | 0.748438 | − | 0.663205i | ||||
\(385\) | 0.351657 | 0.0179221 | ||||||||
\(386\) | 5.11991 | + | 10.2027i | 0.260597 | + | 0.519305i | ||||
\(387\) | 9.22115 | + | 15.5684i | 0.468737 | + | 0.791388i | ||||
\(388\) | 2.44691 | + | 16.7799i | 0.124223 | + | 0.851870i | ||||
\(389\) | −30.5124 | − | 9.25583i | −1.54704 | − | 0.469289i | −0.602619 | − | 0.798029i | \(-0.705876\pi\) |
−0.944420 | + | 0.328740i | \(0.893376\pi\) | |||||||
\(390\) | 1.11843 | − | 2.07323i | 0.0566337 | − | 0.104982i | ||||
\(391\) | −0.872401 | − | 4.38585i | −0.0441192 | − | 0.221802i | ||||
\(392\) | −2.68912 | − | 12.1853i | −0.135821 | − | 0.615448i | ||||
\(393\) | −6.16651 | + | 22.0586i | −0.311059 | + | 1.11271i | ||||
\(394\) | 5.98134 | + | 34.7247i | 0.301336 | + | 1.74941i | ||||
\(395\) | −0.191327 | − | 1.94258i | −0.00962672 | − | 0.0977417i | ||||
\(396\) | −6.08417 | + | 4.91540i | −0.305741 | + | 0.247008i | ||||
\(397\) | −6.48353 | + | 1.96676i | −0.325399 | + | 0.0987087i | −0.448758 | − | 0.893653i | \(-0.648133\pi\) |
0.123359 | + | 0.992362i | \(0.460633\pi\) | |||||||
\(398\) | 3.31286 | − | 2.57883i | 0.166059 | − | 0.129265i | ||||
\(399\) | 0.509169 | + | 1.55490i | 0.0254904 | + | 0.0778425i | ||||
\(400\) | −5.86657 | + | 19.0026i | −0.293328 | + | 0.950128i | ||||
\(401\) | 21.1054 | + | 8.74215i | 1.05395 | + | 0.436562i | 0.841302 | − | 0.540566i | \(-0.181790\pi\) |
0.212652 | + | 0.977128i | \(0.431790\pi\) | |||||||
\(402\) | −5.74267 | − | 29.4614i | −0.286419 | − | 1.46940i | ||||
\(403\) | 1.75580 | + | 0.938495i | 0.0874626 | + | 0.0467497i | ||||
\(404\) | 2.33529 | − | 15.4809i | 0.116185 | − | 0.770204i | ||||
\(405\) | 0.825250 | + | 1.26346i | 0.0410070 | + | 0.0627817i | ||||
\(406\) | 15.9665 | − | 10.0832i | 0.792404 | − | 0.500420i | ||||
\(407\) | −1.41099 | − | 2.11170i | −0.0699404 | − | 0.104673i | ||||
\(408\) | 0.693741 | + | 16.2040i | 0.0343453 | + | 0.802218i | ||||
\(409\) | 23.6441 | + | 15.7985i | 1.16913 | + | 0.781184i | 0.979652 | − | 0.200702i | \(-0.0643222\pi\) |
0.189473 | + | 0.981886i | \(0.439322\pi\) | |||||||
\(410\) | 0.931836 | + | 0.981150i | 0.0460201 | + | 0.0484556i | ||||
\(411\) | 13.2627 | − | 5.83753i | 0.654200 | − | 0.287944i | ||||
\(412\) | 4.68034 | + | 13.1828i | 0.230584 | + | 0.649468i | ||||
\(413\) | 0.562339 | − | 5.70952i | 0.0276709 | − | 0.280947i | ||||
\(414\) | −4.36335 | + | 3.71500i | −0.214447 | + | 0.182582i | ||||
\(415\) | −1.00311 | − | 1.00311i | −0.0492408 | − | 0.0492408i | ||||
\(416\) | −28.1306 | − | 16.1650i | −1.37922 | − | 0.792555i | ||||
\(417\) | −24.8312 | + | 21.3066i | −1.21599 | + | 1.04339i | ||||
\(418\) | −0.0783058 | − | 1.07966i | −0.00383006 | − | 0.0528078i | ||||
\(419\) | −1.33858 | + | 13.5909i | −0.0653941 | + | 0.663957i | 0.905484 | + | 0.424381i | \(0.139508\pi\) |
−0.970878 | + | 0.239576i | \(0.922992\pi\) | |||||||
\(420\) | −0.926845 | − | 0.119090i | −0.0452254 | − | 0.00581101i | ||||
\(421\) | 3.48495 | − | 1.86275i | 0.169846 | − | 0.0907847i | −0.384283 | − | 0.923215i | \(-0.625551\pi\) |
0.554129 | + | 0.832431i | \(0.313051\pi\) | |||||||
\(422\) | 0.913670 | − | 35.4426i | 0.0444768 | − | 1.72532i | ||||
\(423\) | −18.7055 | + | 20.4229i | −0.909492 | + | 0.992994i | ||||
\(424\) | 10.7115 | + | 0.829863i | 0.520198 | + | 0.0403017i | ||||
\(425\) | −9.14481 | − | 13.6862i | −0.443588 | − | 0.663877i | ||||
\(426\) | −12.6850 | − | 3.90125i | −0.614593 | − | 0.189016i | ||||
\(427\) | 12.1404 | − | 14.7931i | 0.587515 | − | 0.715890i | ||||
\(428\) | −7.06770 | − | 28.5131i | −0.341630 | − | 1.37823i | ||||
\(429\) | 10.9228 | + | 6.95682i | 0.527357 | + | 0.335879i | ||||
\(430\) | 0.706494 | − | 1.24357i | 0.0340702 | − | 0.0599702i | ||||
\(431\) | −27.2439 | − | 11.2848i | −1.31229 | − | 0.543570i | −0.386741 | − | 0.922188i | \(-0.626399\pi\) |
−0.925553 | + | 0.378618i | \(0.876399\pi\) | |||||||
\(432\) | 17.7003 | − | 10.8948i | 0.851608 | − | 0.524179i | ||||
\(433\) | −32.2181 | + | 13.3452i | −1.54830 | + | 0.641329i | −0.983009 | − | 0.183559i | \(-0.941238\pi\) |
−0.565296 | + | 0.824888i | \(0.691238\pi\) | |||||||
\(434\) | 0.0976385 | − | 0.783700i | 0.00468680 | − | 0.0376188i | ||||
\(435\) | 0.522002 | + | 2.35332i | 0.0250281 | + | 0.112833i | ||||
\(436\) | 5.51138 | + | 11.7274i | 0.263947 | + | 0.561639i | ||||
\(437\) | −0.0777375 | − | 0.789282i | −0.00371869 | − | 0.0377565i | ||||
\(438\) | −10.8659 | + | 13.1369i | −0.519194 | + | 0.627706i | ||||
\(439\) | 3.68762 | − | 18.5389i | 0.176000 | − | 0.884814i | −0.787337 | − | 0.616522i | \(-0.788541\pi\) |
0.963338 | − | 0.268291i | \(-0.0864590\pi\) | |||||||
\(440\) | 0.576000 | + | 0.224632i | 0.0274597 | + | 0.0107089i | ||||
\(441\) | −0.580355 | − | 13.2227i | −0.0276360 | − | 0.629651i | ||||
\(442\) | 25.0656 | − | 9.63349i | 1.19225 | − | 0.458218i | ||||
\(443\) | −4.77476 | − | 1.44841i | −0.226856 | − | 0.0688160i | 0.174810 | − | 0.984602i | \(-0.444069\pi\) |
−0.401666 | + | 0.915786i | \(0.631569\pi\) | |||||||
\(444\) | 3.00375 | + | 6.04354i | 0.142552 | + | 0.286814i | ||||
\(445\) | 0.985201 | + | 1.20047i | 0.0467030 | + | 0.0569078i | ||||
\(446\) | −7.07997 | + | 21.3432i | −0.335246 | + | 1.01063i | ||||
\(447\) | 34.0102 | + | 2.59809i | 1.60863 | + | 0.122886i | ||||
\(448\) | −1.98233 | + | 12.7167i | −0.0936561 | + | 0.600809i | ||||
\(449\) | −22.2470 | −1.04990 | −0.524951 | − | 0.851132i | \(-0.675917\pi\) | ||||
−0.524951 | + | 0.851132i | \(0.675917\pi\) | |||||||
\(450\) | −9.60547 | + | 18.7800i | −0.452806 | + | 0.885298i | ||||
\(451\) | −5.75023 | + | 4.71909i | −0.270768 | + | 0.222213i | ||||
\(452\) | 2.45207 | − | 9.68806i | 0.115335 | − | 0.455688i | ||||
\(453\) | −8.30139 | + | 21.3542i | −0.390033 | + | 1.00331i | ||||
\(454\) | −17.1298 | + | 6.58350i | −0.803940 | + | 0.308979i | ||||
\(455\) | 0.301837 | + | 1.51744i | 0.0141503 | + | 0.0711386i | ||||
\(456\) | −0.159244 | + | 2.87212i | −0.00745726 | + | 0.134499i | ||||
\(457\) | −23.4143 | − | 4.65738i | −1.09527 | − | 0.217863i | −0.385790 | − | 0.922587i | \(-0.626071\pi\) |
−0.709482 | + | 0.704723i | \(0.751071\pi\) | |||||||
\(458\) | −7.09017 | − | 5.00652i | −0.331302 | − | 0.233939i | ||||
\(459\) | −2.23953 | + | 17.0563i | −0.104532 | + | 0.796120i | ||||
\(460\) | 0.426114 | + | 0.153649i | 0.0198677 | + | 0.00716392i | ||||
\(461\) | −3.59499 | + | 1.09053i | −0.167435 | + | 0.0507909i | −0.372889 | − | 0.927876i | \(-0.621633\pi\) |
0.205454 | + | 0.978667i | \(0.434133\pi\) | |||||||
\(462\) | 1.02156 | − | 5.03455i | 0.0475271 | − | 0.234229i | ||||
\(463\) | −6.67933 | − | 16.1253i | −0.310415 | − | 0.749408i | −0.999690 | − | 0.0249077i | \(-0.992071\pi\) |
0.689275 | − | 0.724500i | \(-0.257929\pi\) | |||||||
\(464\) | 32.5934 | − | 6.31676i | 1.51311 | − | 0.293248i | ||||
\(465\) | 0.0899295 | + | 0.0455615i | 0.00417038 | + | 0.00211286i | ||||
\(466\) | 17.7016 | − | 31.1584i | 0.820013 | − | 1.44338i | ||||
\(467\) | 34.5409 | + | 18.4625i | 1.59836 | + | 0.854341i | 0.998529 | + | 0.0542142i | \(0.0172654\pi\) |
0.599831 | + | 0.800127i | \(0.295235\pi\) | |||||||
\(468\) | −26.4327 | − | 22.0348i | −1.22185 | − | 1.01856i | ||||
\(469\) | 15.2391 | + | 12.5064i | 0.703678 | + | 0.577494i | ||||
\(470\) | 2.13530 | + | 0.482256i | 0.0984939 | + | 0.0222448i | ||||
\(471\) | 10.5046 | − | 5.91458i | 0.484026 | − | 0.272529i | ||||
\(472\) | 4.56822 | − | 8.99275i | 0.210269 | − | 0.413925i | ||||
\(473\) | 6.53756 | + | 4.36826i | 0.300597 | + | 0.200853i | ||||
\(474\) | −28.3670 | − | 2.90398i | −1.30294 | − | 0.133384i | ||||
\(475\) | −1.37616 | − | 2.57462i | −0.0631428 | − | 0.118132i | ||||
\(476\) | −7.13423 | − | 7.91041i | −0.326997 | − | 0.362573i | ||||
\(477\) | 11.0392 | + | 2.82656i | 0.505451 | + | 0.129419i | ||||
\(478\) | 1.03873 | + | 14.3217i | 0.0475105 | + | 0.655060i | ||||
\(479\) | 25.1317 | + | 25.1317i | 1.14830 | + | 1.14830i | 0.986887 | + | 0.161411i | \(0.0516046\pi\) |
0.161411 | + | 0.986887i | \(0.448395\pi\) | |||||||
\(480\) | −1.44206 | − | 0.787116i | −0.0658208 | − | 0.0359267i | ||||
\(481\) | 7.90112 | − | 7.90112i | 0.360260 | − | 0.360260i | ||||
\(482\) | 10.7762 | + | 9.31872i | 0.490841 | + | 0.424456i | ||||
\(483\) | 0.653150 | − | 3.70668i | 0.0297193 | − | 0.168660i | ||||
\(484\) | 7.99436 | − | 16.7957i | 0.363380 | − | 0.763440i | ||||
\(485\) | 1.25381 | − | 0.670175i | 0.0569325 | − | 0.0304311i | ||||
\(486\) | 20.4858 | − | 8.14449i | 0.929254 | − | 0.369442i | ||||
\(487\) | −2.99725 | + | 4.48570i | −0.135818 | + | 0.203267i | −0.893144 | − | 0.449771i | \(-0.851506\pi\) |
0.757326 | + | 0.653038i | \(0.226506\pi\) | |||||||
\(488\) | 29.3350 | − | 16.4755i | 1.32793 | − | 0.745810i | ||||
\(489\) | 30.0495 | − | 16.9193i | 1.35889 | − | 0.765117i | ||||
\(490\) | −0.884551 | + | 0.558614i | −0.0399600 | + | 0.0252356i | ||||
\(491\) | 13.5129 | − | 16.4655i | 0.609829 | − | 0.743079i | −0.372952 | − | 0.927851i | \(-0.621654\pi\) |
0.982782 | + | 0.184771i | \(0.0591545\pi\) | |||||||
\(492\) | 16.7537 | − | 10.4905i | 0.755317 | − | 0.472950i | ||||
\(493\) | −12.9532 | + | 24.2338i | −0.583384 | + | 1.09143i | ||||
\(494\) | 4.59162 | − | 1.26460i | 0.206587 | − | 0.0568969i | ||||
\(495\) | 0.560691 | + | 0.340060i | 0.0252012 | + | 0.0152845i | ||||
\(496\) | 0.660540 | − | 1.22130i | 0.0296591 | − | 0.0548379i | ||||
\(497\) | 8.05296 | − | 3.33565i | 0.361225 | − | 0.149624i | ||||
\(498\) | −17.2752 | + | 11.4472i | −0.774120 | + | 0.512959i | ||||
\(499\) | −2.48640 | − | 8.19658i | −0.111307 | − | 0.366929i | 0.883535 | − | 0.468364i | \(-0.155157\pi\) |
−0.994842 | + | 0.101435i | \(0.967657\pi\) | |||||||
\(500\) | 3.34048 | − | 0.155874i | 0.149391 | − | 0.00697091i | ||||
\(501\) | −0.0351829 | − | 1.60397i | −0.00157186 | − | 0.0716600i | ||||
\(502\) | −3.19627 | − | 18.5560i | −0.142656 | − | 0.828193i | ||||
\(503\) | 8.27375 | − | 41.5949i | 0.368908 | − | 1.85463i | −0.134967 | − | 0.990850i | \(-0.543093\pi\) |
0.503875 | − | 0.863776i | \(-0.331907\pi\) | |||||||
\(504\) | −4.39744 | + | 12.9234i | −0.195877 | + | 0.575652i | ||||
\(505\) | −1.28736 | + | 0.256071i | −0.0572867 | + | 0.0113950i | ||||
\(506\) | −1.01192 | + | 2.27529i | −0.0449851 | + | 0.101149i | ||||
\(507\) | −12.4856 | + | 32.1176i | −0.554505 | + | 1.42639i | ||||
\(508\) | 13.6531 | + | 10.1780i | 0.605760 | + | 0.451575i | ||||
\(509\) | −1.54033 | − | 1.87689i | −0.0682738 | − | 0.0831919i | 0.737754 | − | 0.675070i | \(-0.235887\pi\) |
−0.806027 | + | 0.591878i | \(0.798387\pi\) | |||||||
\(510\) | 1.25825 | − | 0.515529i | 0.0557162 | − | 0.0228280i | ||||
\(511\) | − | 11.1971i | − | 0.495331i | ||||||
\(512\) | −11.3702 | + | 19.5632i | −0.502495 | + | 0.864580i | ||||
\(513\) | −0.691790 | + | 2.97155i | −0.0305433 | + | 0.131197i | ||||
\(514\) | −6.64116 | − | 13.2342i | −0.292929 | − | 0.583736i | ||||
\(515\) | 0.906596 | − | 0.744024i | 0.0399494 | − | 0.0327856i | ||||
\(516\) | −15.7514 | − | 13.7272i | −0.693416 | − | 0.604305i | ||||
\(517\) | −3.49337 | + | 11.5161i | −0.153638 | + | 0.506477i | ||||
\(518\) | −4.05006 | − | 1.80123i | −0.177949 | − | 0.0791415i | ||||
\(519\) | −4.72864 | − | 39.1810i | −0.207564 | − | 1.71985i | ||||
\(520\) | −0.474913 | + | 2.67831i | −0.0208263 | + | 0.117452i | ||||
\(521\) | 7.36067 | + | 1.46413i | 0.322477 | + | 0.0641446i | 0.353674 | − | 0.935369i | \(-0.384932\pi\) |
−0.0311976 | + | 0.999513i | \(0.509932\pi\) | |||||||
\(522\) | 35.2080 | − | 0.636970i | 1.54101 | − | 0.0278794i | ||||
\(523\) | −9.15742 | + | 0.901928i | −0.400426 | + | 0.0394385i | −0.296226 | − | 0.955118i | \(-0.595728\pi\) |
−0.104200 | + | 0.994556i | \(0.533228\pi\) | |||||||
\(524\) | −1.23276 | − | 26.4188i | −0.0538536 | − | 1.15411i | ||||
\(525\) | −3.00015 | − | 13.5254i | −0.130937 | − | 0.590298i | ||||
\(526\) | −1.19308 | + | 0.928728i | −0.0520206 | + | 0.0404945i | ||||
\(527\) | 0.439779 | + | 1.06172i | 0.0191571 | + | 0.0462493i | ||||
\(528\) | 4.88924 | − | 7.59384i | 0.212777 | − | 0.330479i | ||||
\(529\) | 8.10353 | − | 19.5637i | 0.352328 | − | 0.850594i | ||||
\(530\) | −0.239169 | − | 0.868396i | −0.0103888 | − | 0.0377207i | ||||
\(531\) | 6.41783 | − | 8.55961i | 0.278510 | − | 0.371456i | ||||
\(532\) | −1.12170 | − | 1.52023i | −0.0486317 | − | 0.0659104i | ||||
\(533\) | −25.2990 | − | 20.7623i | −1.09582 | − | 0.899316i | ||||
\(534\) | 20.0487 | − | 10.6174i | 0.867592 | − | 0.459461i | ||||
\(535\) | −2.04778 | + | 1.36828i | −0.0885331 | + | 0.0591559i | ||||
\(536\) | 16.9722 | + | 30.2195i | 0.733088 | + | 1.30528i | ||||
\(537\) | −2.00505 | − | 1.57321i | −0.0865245 | − | 0.0678888i | ||||
\(538\) | 9.04371 | + | 9.52232i | 0.389902 | + | 0.410536i | ||||
\(539\) | −2.71112 | − | 5.07216i | −0.116776 | − | 0.218473i | ||||
\(540\) | −1.36262 | − | 1.08616i | −0.0586379 | − | 0.0467408i | ||||
\(541\) | −4.39750 | − | 0.433116i | −0.189063 | − | 0.0186211i | 0.00304235 | − | 0.999995i | \(-0.499032\pi\) |
−0.192106 | + | 0.981374i | \(0.561532\pi\) | |||||||
\(542\) | 12.3612 | − | 14.2945i | 0.530960 | − | 0.614003i | ||||
\(543\) | 20.3195 | − | 17.4354i | 0.871994 | − | 0.748223i | ||||
\(544\) | −6.63255 | − | 17.5141i | −0.284368 | − | 0.750912i | ||||
\(545\) | 0.768178 | − | 0.768178i | 0.0329051 | − | 0.0329051i | ||||
\(546\) | 22.6014 | + | 0.0868292i | 0.967253 | + | 0.00371595i | ||||
\(547\) | −19.2502 | − | 1.89598i | −0.823080 | − | 0.0810663i | −0.322296 | − | 0.946639i | \(-0.604455\pi\) |
−0.500784 | + | 0.865572i | \(0.666955\pi\) | |||||||
\(548\) | −12.4253 | + | 11.2062i | −0.530785 | + | 0.478703i | ||||
\(549\) | 33.6622 | − | 11.8465i | 1.43667 | − | 0.505597i | ||||
\(550\) | −0.236212 | + | 9.16303i | −0.0100721 | + | 0.390713i | ||||
\(551\) | −2.70756 | + | 4.05215i | −0.115346 | + | 0.172627i | ||||
\(552\) | 3.43759 | − | 5.65417i | 0.146314 | − | 0.240658i | ||||
\(553\) | 15.5721 | − | 10.4049i | 0.662193 | − | 0.442463i | ||||
\(554\) | −7.23097 | + | 32.0168i | −0.307214 | + | 1.36026i | ||||
\(555\) | 0.391220 | − | 0.408768i | 0.0166064 | − | 0.0173512i | ||||
\(556\) | 19.5030 | − | 32.3581i | 0.827111 | − | 1.37229i | ||||
\(557\) | 8.62120 | − | 16.1291i | 0.365292 | − | 0.683413i | −0.630387 | − | 0.776281i | \(-0.717104\pi\) |
0.995678 | + | 0.0928684i | \(0.0296036\pi\) | |||||||
\(558\) | 0.913531 | − | 1.15513i | 0.0386728 | − | 0.0489007i | ||||
\(559\) | −13.2381 | + | 31.9597i | −0.559913 | + | 1.35175i | ||||
\(560\) | 1.05932 | − | 0.205301i | 0.0447643 | − | 0.00867554i | ||||
\(561\) | 2.32628 | + | 7.10401i | 0.0982158 | + | 0.299932i | ||||
\(562\) | −5.00259 | + | 40.1535i | −0.211021 | + | 1.69377i | ||||
\(563\) | 1.05341 | + | 3.47262i | 0.0443959 | + | 0.146354i | 0.976336 | − | 0.216258i | \(-0.0693852\pi\) |
−0.931940 | + | 0.362612i | \(0.881885\pi\) | |||||||
\(564\) | 13.1073 | − | 29.1693i | 0.551916 | − | 1.22825i | ||||
\(565\) | −0.833810 | + | 0.0821231i | −0.0350786 | + | 0.00345495i | ||||
\(566\) | 18.3380 | − | 25.9701i | 0.770805 | − | 1.09161i | ||||
\(567\) | −6.95846 | + | 12.6974i | −0.292228 | + | 0.533241i | ||||
\(568\) | 15.3212 | − | 0.319575i | 0.642862 | − | 0.0134091i | ||||
\(569\) | −15.0800 | + | 2.99960i | −0.632188 | + | 0.125750i | −0.500774 | − | 0.865578i | \(-0.666951\pi\) |
−0.131413 | + | 0.991328i | \(0.541951\pi\) | |||||||
\(570\) | 0.231046 | − | 0.0691190i | 0.00967747 | − | 0.00289508i | ||||
\(571\) | −6.98954 | + | 23.0414i | −0.292503 | + | 0.964254i | 0.680361 | + | 0.732877i | \(0.261823\pi\) |
−0.972864 | + | 0.231377i | \(0.925677\pi\) | |||||||
\(572\) | −14.4964 | − | 3.66905i | −0.606123 | − | 0.153411i | ||||
\(573\) | 13.7044 | + | 19.5671i | 0.572509 | + | 0.817428i | ||||
\(574\) | −4.08761 | + | 12.3225i | −0.170613 | + | 0.514330i | ||||
\(575\) | 6.71563i | 0.280061i | ||||||||
\(576\) | −15.4580 | + | 18.3589i | −0.644084 | + | 0.764955i | ||||
\(577\) | − | 18.8965i | − | 0.786672i | −0.919395 | − | 0.393336i | \(-0.871321\pi\) | ||
0.919395 | − | 0.393336i | \(-0.128679\pi\) | |||||||
\(578\) | −8.10679 | − | 2.68918i | −0.337198 | − | 0.111855i | ||||
\(579\) | −8.02039 | − | 11.4515i | −0.333316 | − | 0.475908i | ||||
\(580\) | −1.42509 | − | 2.39094i | −0.0591737 | − | 0.0992782i | ||||
\(581\) | 3.95106 | − | 13.0249i | 0.163918 | − | 0.540364i | ||||
\(582\) | −5.95237 | − | 19.8972i | −0.246733 | − | 0.824765i | ||||
\(583\) | 4.85654 | − | 0.966027i | 0.201137 | − | 0.0400087i | ||||
\(584\) | 7.15250 | − | 18.3404i | 0.295973 | − | 0.758932i | ||||
\(585\) | −0.986136 | + | 2.71132i | −0.0407717 | + | 0.112099i | ||||
\(586\) | 23.7900 | + | 16.7986i | 0.982758 | + | 0.693945i | ||||
\(587\) | −0.622728 | + | 0.0613333i | −0.0257027 | + | 0.00253150i | −0.110860 | − | 0.993836i | \(-0.535361\pi\) |
0.0851576 | + | 0.996367i | \(0.472861\pi\) | |||||||
\(588\) | 5.42787 | + | 14.2866i | 0.223841 | + | 0.589168i | ||||
\(589\) | 0.0591653 | + | 0.195042i | 0.00243787 | + | 0.00803656i | ||||
\(590\) | −0.839152 | − | 0.104547i | −0.0345474 | − | 0.00430414i | ||||
\(591\) | −13.4299 | − | 41.0123i | −0.552433 | − | 1.68702i | ||||
\(592\) | −5.48324 | − | 5.53744i | −0.225360 | − | 0.227587i | ||||
\(593\) | 1.98191 | − | 4.78476i | 0.0813873 | − | 0.196486i | −0.877948 | − | 0.478757i | \(-0.841088\pi\) |
0.959335 | + | 0.282270i | \(0.0910876\pi\) | |||||||
\(594\) | 6.49731 | − | 7.03935i | 0.266588 | − | 0.288828i | ||||
\(595\) | −0.420992 | + | 0.787620i | −0.0172590 | + | 0.0322893i | ||||
\(596\) | −38.2291 | + | 9.47606i | −1.56593 | + | 0.388155i | ||||
\(597\) | −3.55519 | + | 3.71466i | −0.145504 | + | 0.152031i | ||||
\(598\) | −10.6867 | − | 2.41358i | −0.437010 | − | 0.0986985i | ||||
\(599\) | 27.7410 | − | 18.5360i | 1.13347 | − | 0.757359i | 0.160212 | − | 0.987083i | \(-0.448782\pi\) |
0.973256 | + | 0.229723i | \(0.0737821\pi\) | |||||||
\(600\) | 3.72567 | − | 24.0705i | 0.152100 | − | 0.982675i | ||||
\(601\) | 6.30017 | − | 9.42887i | 0.256989 | − | 0.384612i | −0.680431 | − | 0.732812i | \(-0.738207\pi\) |
0.937420 | + | 0.348201i | \(0.113207\pi\) | |||||||
\(602\) | 13.7180 | + | 0.353635i | 0.559105 | + | 0.0144131i | ||||
\(603\) | 12.2037 | + | 34.6771i | 0.496972 | + | 1.41216i | ||||
\(604\) | 1.36307 | − | 26.4203i | 0.0554627 | − | 1.07503i | ||||
\(605\) | −1.55199 | − | 0.152857i | −0.0630973 | − | 0.00621454i | ||||
\(606\) | −0.0736638 | + | 19.1745i | −0.00299239 | + | 0.778912i | ||||
\(607\) | −12.3933 | + | 12.3933i | −0.503028 | + | 0.503028i | −0.912378 | − | 0.409350i | \(-0.865756\pi\) |
0.409350 | + | 0.912378i | \(0.365756\pi\) | |||||||
\(608\) | −0.866199 | − | 3.20659i | −0.0351290 | − | 0.130045i | ||||
\(609\) | −17.5520 | + | 15.0607i | −0.711245 | + | 0.610291i | ||||
\(610\) | −2.13363 | − | 1.84506i | −0.0863880 | − | 0.0747042i | ||||
\(611\) | −52.6916 | − | 5.18967i | −2.13167 | − | 0.209952i | ||||
\(612\) | −3.72546 | − | 19.5115i | −0.150593 | − | 0.788705i | ||||
\(613\) | −3.89482 | − | 7.28670i | −0.157310 | − | 0.294307i | 0.790903 | − | 0.611942i | \(-0.209611\pi\) |
−0.948213 | + | 0.317635i | \(0.897111\pi\) | |||||||
\(614\) | −14.4961 | + | 13.7675i | −0.585013 | + | 0.555609i | ||||
\(615\) | −1.30382 | − | 1.02300i | −0.0525749 | − | 0.0412513i | ||||
\(616\) | 0.704405 | + | 5.88989i | 0.0283813 | + | 0.237311i | ||||
\(617\) | −15.2981 | + | 10.2218i | −0.615876 | + | 0.411515i | −0.824002 | − | 0.566587i | \(-0.808264\pi\) |
0.208126 | + | 0.978102i | \(0.433264\pi\) | |||||||
\(618\) | −8.01829 | − | 15.1408i | −0.322543 | − | 0.609052i | ||||
\(619\) | −34.5896 | − | 28.3869i | −1.39027 | − | 1.14097i | −0.972631 | − | 0.232354i | \(-0.925357\pi\) |
−0.417641 | − | 0.908612i | \(-0.637143\pi\) | |||||||
\(620\) | −0.115106 | − | 0.0173637i | −0.00462277 | − | 0.000697344i | ||||
\(621\) | 4.62583 | − | 5.27842i | 0.185628 | − | 0.211816i | ||||
\(622\) | 2.64504 | − | 0.728482i | 0.106057 | − | 0.0292095i | ||||
\(623\) | −5.70206 | + | 13.7660i | −0.228448 | + | 0.551523i | ||||
\(624\) | 36.9648 | + | 14.5796i | 1.47978 | + | 0.583651i | ||||
\(625\) | 9.40600 | + | 22.7081i | 0.376240 | + | 0.908324i | ||||
\(626\) | −17.8889 | − | 22.9807i | −0.714983 | − | 0.918492i | ||||
\(627\) | 0.287099 | + | 1.29432i | 0.0114656 | + | 0.0516901i | ||||
\(628\) | −9.37355 | + | 10.2912i | −0.374045 | + | 0.410662i | ||||
\(629\) | 6.41885 | − | 0.632201i | 0.255936 | − | 0.0252075i | ||||
\(630\) | 1.14429 | − | 0.0207021i | 0.0455898 | − | 0.000824793i | ||||
\(631\) | 42.4090 | + | 8.43568i | 1.68828 | + | 0.335819i | 0.943469 | − | 0.331461i | \(-0.107542\pi\) |
0.744807 | + | 0.667280i | \(0.232542\pi\) | |||||||
\(632\) | 32.1529 | − | 7.09571i | 1.27897 | − | 0.282252i | ||||
\(633\) | 5.20279 | + | 43.1098i | 0.206792 | + | 1.71346i | ||||
\(634\) | 11.3660 | − | 25.5563i | 0.451400 | − | 1.01497i | ||||
\(635\) | 0.414444 | − | 1.36624i | 0.0164467 | − | 0.0542175i | ||||
\(636\) | −13.1273 | + | 0.901419i | −0.520531 | + | 0.0357436i | ||||
\(637\) | 19.5599 | − | 16.0524i | 0.774990 | − | 0.636018i | ||||
\(638\) | 13.6763 | − | 6.86299i | 0.541449 | − | 0.271709i | ||||
\(639\) | 16.0655 | + | 2.46894i | 0.635541 | + | 0.0976697i | ||||
\(640\) | 1.86626 | + | 0.340396i | 0.0737703 | + | 0.0134553i | ||||
\(641\) | − | 25.0705i | − | 0.990227i | −0.868828 | − | 0.495113i | \(-0.835127\pi\) | ||
0.868828 | − | 0.495113i | \(-0.164873\pi\) | |||||||
\(642\) | 13.6404 | + | 33.2921i | 0.538345 | + | 1.31393i | ||||
\(643\) | −3.15951 | − | 3.84987i | −0.124599 | − | 0.151824i | 0.706975 | − | 0.707239i | \(-0.250060\pi\) |
−0.831573 | + | 0.555415i | \(0.812560\pi\) | |||||||
\(644\) | 0.627125 | + | 4.30056i | 0.0247122 | + | 0.169466i | ||||
\(645\) | −0.634690 | + | 1.63266i | −0.0249909 | + | 0.0642858i | ||||
\(646\) | 2.51189 | + | 1.11714i | 0.0988291 | + | 0.0439534i | ||||
\(647\) | 16.7679 | − | 3.33535i | 0.659216 | − | 0.131126i | 0.145864 | − | 0.989305i | \(-0.453404\pi\) |
0.513351 | + | 0.858178i | \(0.328404\pi\) | |||||||
\(648\) | −19.5085 | + | 16.3529i | −0.766367 | + | 0.642403i | ||||
\(649\) | 0.906944 | − | 4.55951i | 0.0356006 | − | 0.178977i | ||||
\(650\) | −39.7422 | + | 6.84560i | −1.55882 | + | 0.268507i | ||||
\(651\) | 0.0212115 | + | 0.967021i | 0.000831345 | + | 0.0379005i | ||||
\(652\) | −26.8141 | + | 29.4390i | −1.05012 | + | 1.15292i | ||||
\(653\) | −2.12488 | − | 7.00478i | −0.0831529 | − | 0.274118i | 0.905498 | − | 0.424351i | \(-0.139498\pi\) |
−0.988651 | + | 0.150233i | \(0.951998\pi\) | |||||||
\(654\) | −8.76619 | − | 13.2293i | −0.342785 | − | 0.517305i | ||||
\(655\) | −2.04854 | + | 0.848533i | −0.0800431 | + | 0.0331549i | ||||
\(656\) | −14.5667 | + | 17.5726i | −0.568733 | + | 0.686095i | ||||
\(657\) | 10.8278 | − | 17.8530i | 0.422434 | − | 0.696510i | ||||
\(658\) | 5.57695 | + | 20.2493i | 0.217412 | + | 0.789401i | ||||
\(659\) | −13.2514 | + | 24.7915i | −0.516200 | + | 0.965741i | 0.479885 | + | 0.877332i | \(0.340679\pi\) |
−0.996084 | + | 0.0884098i | \(0.971821\pi\) | |||||||
\(660\) | −0.737952 | − | 0.169648i | −0.0287247 | − | 0.00660355i | ||||
\(661\) | 4.14250 | − | 5.04764i | 0.161124 | − | 0.196331i | −0.686190 | − | 0.727422i | \(-0.740718\pi\) |
0.847314 | + | 0.531092i | \(0.178218\pi\) | |||||||
\(662\) | 7.84529 | + | 12.4228i | 0.304916 | + | 0.482827i | ||||
\(663\) | −28.6578 | + | 16.1357i | −1.11298 | + | 0.626660i | ||||
\(664\) | 14.7917 | − | 18.8104i | 0.574030 | − | 0.729985i | ||||
\(665\) | −0.0879983 | + | 0.131699i | −0.00341243 | + | 0.00510706i | ||||
\(666\) | −4.71569 | − | 6.78842i | −0.182729 | − | 0.263046i | ||||
\(667\) | 9.88716 | − | 5.28480i | 0.382833 | − | 0.204628i | ||||
\(668\) | 0.619814 | + | 1.74579i | 0.0239813 | + | 0.0675465i | ||||
\(669\) | 4.77928 | − | 27.1228i | 0.184777 | − | 1.04863i | ||||
\(670\) | 1.90069 | − | 2.19796i | 0.0734299 | − | 0.0849144i | ||||
\(671\) | 10.9650 | − | 10.9650i | 0.423298 | − | 0.423298i | ||||
\(672\) | 0.138073 | − | 15.7622i | 0.00532626 | − | 0.608042i | ||||
\(673\) | −22.7009 | − | 22.7009i | −0.875056 | − | 0.875056i | 0.117962 | − | 0.993018i | \(-0.462364\pi\) |
−0.993018 | + | 0.117962i | \(0.962364\pi\) | |||||||
\(674\) | −2.58566 | + | 0.187534i | −0.0995958 | + | 0.00722353i | ||||
\(675\) | 8.29586 | − | 24.4665i | 0.319308 | − | 0.941715i | ||||
\(676\) | 2.05011 | − | 39.7371i | 0.0788506 | − | 1.52835i | ||||
\(677\) | −11.2297 | − | 21.0092i | −0.431591 | − | 0.807450i | 0.568291 | − | 0.822828i | \(-0.307605\pi\) |
−0.999882 | + | 0.0153776i | \(0.995105\pi\) | |||||||
\(678\) | −1.24647 | + | 12.1759i | −0.0478705 | + | 0.467613i | ||||
\(679\) | 11.3416 | + | 7.57821i | 0.435250 | + | 0.290825i | ||||
\(680\) | −1.19268 | + | 1.02117i | −0.0457373 | + | 0.0391600i | ||||
\(681\) | 19.5847 | − | 11.0271i | 0.750487 | − | 0.422560i | ||||
\(682\) | 0.140980 | − | 0.624223i | 0.00539842 | − | 0.0239027i | ||||
\(683\) | −34.4049 | − | 28.2353i | −1.31647 | − | 1.08040i | −0.990861 | − | 0.134889i | \(-0.956932\pi\) |
−0.325605 | − | 0.945506i | \(-0.605568\pi\) | |||||||
\(684\) | −0.318367 | − | 3.50860i | −0.0121731 | − | 0.134155i | ||||
\(685\) | 1.23716 | + | 0.661277i | 0.0472695 | + | 0.0252661i | ||||
\(686\) | −22.5750 | − | 12.8253i | −0.861918 | − | 0.489671i | ||||
\(687\) | 9.48274 | + | 4.80430i | 0.361789 | + | 0.183295i | ||||
\(688\) | 22.2437 | + | 9.34205i | 0.848032 | + | 0.356162i | ||||
\(689\) | 8.33701 | + | 20.1273i | 0.317615 | + | 0.766790i | ||||
\(690\) | −0.543692 | − | 0.110320i | −0.0206980 | − | 0.00419982i | ||||
\(691\) | −31.9332 | + | 9.68682i | −1.21479 | + | 0.368504i | −0.831710 | − | 0.555210i | \(-0.812638\pi\) |
−0.383084 | + | 0.923714i | \(0.625138\pi\) | |||||||
\(692\) | 19.3826 | + | 41.2431i | 0.736816 | + | 1.56783i | ||||
\(693\) | −0.341546 | + | 6.28242i | −0.0129743 | + | 0.238649i | ||||
\(694\) | −23.2171 | + | 32.8798i | −0.881309 | + | 1.24810i | ||||
\(695\) | −3.10665 | − | 0.617950i | −0.117842 | − | 0.0234402i | ||||
\(696\) | −38.3700 | + | 13.4569i | −1.45441 | + | 0.510083i | ||||
\(697\) | −3.68556 | − | 18.5285i | −0.139600 | − | 0.701819i | ||||
\(698\) | 7.26496 | + | 18.9029i | 0.274983 | + | 0.715484i | ||||
\(699\) | −15.9025 | + | 40.9072i | −0.601489 | + | 1.54725i | ||||
\(700\) | 8.19056 | + | 13.7416i | 0.309574 | + | 0.519385i | ||||
\(701\) | 32.3449 | − | 26.5448i | 1.22165 | − | 1.00258i | 0.222029 | − | 0.975040i | \(-0.428732\pi\) |
0.999621 | − | 0.0275424i | \(-0.00876812\pi\) | |||||||
\(702\) | 35.9523 | + | 21.9945i | 1.35693 | + | 0.830129i | ||||
\(703\) | 1.14394 | 0.0431443 | ||||||||
\(704\) | −2.60856 | + | 10.0974i | −0.0983139 | + | 0.380559i | ||||
\(705\) | −2.67327 | − | 0.204215i | −0.100681 | − | 0.00769119i | ||||
\(706\) | −16.7389 | − | 5.55263i | −0.629978 | − | 0.208976i | ||||
\(707\) | −7.98932 | − | 9.73501i | −0.300469 | − | 0.366123i | ||||
\(708\) | −3.93448 | + | 11.7101i | −0.147867 | + | 0.440094i | ||||
\(709\) | −10.8271 | − | 3.28437i | −0.406621 | − | 0.123347i | 0.0803470 | − | 0.996767i | \(-0.474397\pi\) |
−0.486968 | + | 0.873420i | \(0.661897\pi\) | |||||||
\(710\) | −0.460913 | − | 1.19926i | −0.0172977 | − | 0.0450074i | ||||
\(711\) | 34.8903 | − | 1.53137i | 1.30849 | − | 0.0574308i | ||||
\(712\) | −18.1332 | + | 18.9058i | −0.679570 | + | 0.708523i | ||||
\(713\) | 0.0914706 | − | 0.459854i | 0.00342560 | − | 0.0172217i | ||||
\(714\) | 10.0531 | + | 8.31521i | 0.376228 | + | 0.311189i | ||||
\(715\) | 0.122882 | + | 1.24764i | 0.00459552 | + | 0.0466591i | ||||
\(716\) | 2.76837 | + | 0.998222i | 0.103459 | + | 0.0373053i | ||||
\(717\) | −3.80839 | − | 17.1692i | −0.142227 | − | 0.641196i | ||||
\(718\) | 20.6441 | + | 2.57197i | 0.770430 | + | 0.0959852i | ||||
\(719\) | −23.3601 | + | 9.67607i | −0.871184 | + | 0.360856i | −0.773071 | − | 0.634319i | \(-0.781281\pi\) |
−0.0981129 | + | 0.995175i | \(0.531281\pi\) | |||||||
\(720\) | 1.88753 | + | 0.697043i | 0.0703441 | + | 0.0259773i | ||||
\(721\) | 10.3961 | + | 4.30620i | 0.387170 | + | 0.160371i | ||||
\(722\) | −22.9391 | − | 13.0321i | −0.853703 | − | 0.485004i | ||||
\(723\) | −14.7169 | − | 9.37333i | −0.547328 | − | 0.348598i | ||||
\(724\) | −15.9594 | + | 26.4788i | −0.593128 | + | 0.984079i | ||||
\(725\) | 26.1792 | − | 31.8994i | 0.972270 | − | 1.18471i | ||||
\(726\) | −6.69689 | + | 21.7752i | −0.248545 | + | 0.808153i | ||||
\(727\) | −12.5061 | − | 18.7167i | −0.463826 | − | 0.694164i | 0.523650 | − | 0.851933i | \(-0.324570\pi\) |
−0.987476 | + | 0.157769i | \(0.949570\pi\) | |||||||
\(728\) | −24.8109 | + | 8.09504i | −0.919553 | + | 0.300022i | ||||
\(729\) | −23.3734 | + | 13.5161i | −0.865681 | + | 0.500596i | ||||
\(730\) | −1.64988 | − | 0.0425319i | −0.0610646 | − | 0.00157417i | ||||
\(731\) | −17.6103 | + | 9.41290i | −0.651340 | + | 0.348149i | ||||
\(732\) | −32.6132 | + | 25.1865i | −1.20542 | + | 0.930920i | ||||
\(733\) | 3.83100 | − | 38.8968i | 0.141501 | − | 1.43669i | −0.617999 | − | 0.786179i | \(-0.712056\pi\) |
0.759500 | − | 0.650507i | \(-0.225444\pi\) | |||||||
\(734\) | 52.3445 | − | 3.79646i | 1.93207 | − | 0.140130i | ||||
\(735\) | 0.972392 | − | 0.834371i | 0.0358672 | − | 0.0307762i | ||||
\(736\) | −1.71991 | + | 7.44474i | −0.0633968 | + | 0.274417i | ||||
\(737\) | 11.2956 | + | 11.2956i | 0.416078 | + | 0.416078i | ||||
\(738\) | −18.4335 | + | 15.6945i | −0.678545 | + | 0.577721i | ||||
\(739\) | 3.43441 | − | 34.8701i | 0.126337 | − | 1.28272i | −0.697786 | − | 0.716306i | \(-0.745831\pi\) |
0.824123 | − | 0.566411i | \(-0.191669\pi\) | |||||||
\(740\) | −0.280792 | + | 0.589928i | −0.0103221 | + | 0.0216862i | ||||
\(741\) | −5.33869 | + | 2.34981i | −0.196122 | + | 0.0863226i | ||||
\(742\) | 6.26635 | − | 5.95139i | 0.230045 | − | 0.218482i | ||||
\(743\) | 21.3736 | + | 14.2814i | 0.784120 | + | 0.523932i | 0.881991 | − | 0.471267i | \(-0.156203\pi\) |
−0.0978709 | + | 0.995199i | \(0.531203\pi\) | |||||||
\(744\) | −0.582970 | + | 1.59749i | −0.0213727 | + | 0.0585668i | ||||
\(745\) | 1.83453 | + | 2.74557i | 0.0672120 | + | 0.100590i | ||||
\(746\) | −19.1121 | − | 30.2636i | −0.699744 | − | 1.10803i | ||||
\(747\) | 18.8950 | − | 16.9465i | 0.691332 | − | 0.620039i | ||||
\(748\) | −5.12478 | − | 6.94560i | −0.187381 | − | 0.253956i | ||||
\(749\) | −20.8397 | − | 11.1391i | −0.761466 | − | 0.407012i | ||||
\(750\) | −4.02002 | + | 0.783590i | −0.146791 | + | 0.0286127i | ||||
\(751\) | 5.34180 | + | 2.21265i | 0.194925 | + | 0.0807406i | 0.478011 | − | 0.878354i | \(-0.341358\pi\) |
−0.283086 | + | 0.959095i | \(0.591358\pi\) | |||||||
\(752\) | −3.80006 | + | 36.7300i | −0.138574 | + | 1.33941i | ||||
\(753\) | 7.17659 | + | 21.9159i | 0.261529 | + | 0.798659i | ||||
\(754\) | 41.3533 | + | 53.1238i | 1.50600 | + | 1.93466i | ||||
\(755\) | −2.12248 | + | 0.643846i | −0.0772448 | + | 0.0234320i | ||||
\(756\) | 3.02776 | − | 16.4426i | 0.110119 | − | 0.598011i | ||||
\(757\) | 1.39540 | + | 14.1677i | 0.0507165 | + | 0.514933i | 0.986661 | + | 0.162787i | \(0.0520482\pi\) |
−0.935945 | + | 0.352147i | \(0.885452\pi\) | |||||||
\(758\) | −15.7792 | + | 2.71798i | −0.573127 | + | 0.0987213i | ||||
\(759\) | 0.821100 | − | 2.93720i | 0.0298040 | − | 0.106614i | ||||
\(760\) | −0.228264 | + | 0.159505i | −0.00828001 | + | 0.00578587i | ||||
\(761\) | −8.59984 | − | 43.2343i | −0.311744 | − | 1.56724i | −0.745684 | − | 0.666300i | \(-0.767877\pi\) |
0.433940 | − | 0.900942i | \(-0.357123\pi\) | |||||||
\(762\) | −18.3560 | − | 9.90234i | −0.664967 | − | 0.358724i | ||||
\(763\) | 9.97442 | + | 3.02571i | 0.361098 | + | 0.109538i | ||||
\(764\) | −22.1157 | − | 16.4866i | −0.800118 | − | 0.596463i | ||||
\(765\) | −1.43288 | + | 0.848694i | −0.0518060 | + | 0.0306846i | ||||
\(766\) | 13.3033 | − | 6.67584i | 0.480668 | − | 0.241208i | ||||
\(767\) | 20.4532 | 0.738523 | ||||||||
\(768\) | 10.2948 | − | 25.7297i | 0.371481 | − | 0.928441i | ||||
\(769\) | 52.1417 | 1.88028 | 0.940138 | − | 0.340793i | \(-0.110696\pi\) | ||||
0.940138 | + | 0.340793i | \(0.110696\pi\) | |||||||
\(770\) | 0.444492 | − | 0.223054i | 0.0160184 | − | 0.00803830i | ||||
\(771\) | 10.4034 | + | 14.8540i | 0.374671 | + | 0.534955i | ||||
\(772\) | 12.9430 | + | 9.64863i | 0.465830 | + | 0.347262i | ||||
\(773\) | 38.6741 | + | 11.7317i | 1.39101 | + | 0.421958i | 0.894887 | − | 0.446293i | \(-0.147256\pi\) |
0.496124 | + | 0.868252i | \(0.334756\pi\) | |||||||
\(774\) | 21.5304 | + | 13.8295i | 0.773894 | + | 0.497089i | ||||
\(775\) | −0.336695 | − | 1.69268i | −0.0120945 | − | 0.0608029i | ||||
\(776\) | 13.7362 | + | 19.6576i | 0.493102 | + | 0.705666i | ||||
\(777\) | 5.22828 | + | 1.46158i | 0.187564 | + | 0.0524337i | ||||
\(778\) | −44.4383 | + | 7.65450i | −1.59319 | + | 0.274427i | ||||
\(779\) | −0.328411 | − | 3.33441i | −0.0117665 | − | 0.119468i | ||||
\(780\) | 0.0986450 | − | 3.32995i | 0.00353206 | − | 0.119231i | ||||
\(781\) | 6.75886 | − | 2.05028i | 0.241851 | − | 0.0733647i | ||||
\(782\) | −3.88462 | − | 4.99032i | −0.138914 | − | 0.178454i | ||||
\(783\) | −42.5494 | + | 7.03999i | −1.52059 | + | 0.251589i | ||||
\(784\) | −11.1280 | − | 13.6964i | −0.397430 | − | 0.489156i | ||||
\(785\) | 1.07821 | + | 0.446609i | 0.0384830 | + | 0.0159402i | ||||
\(786\) | 6.19718 | + | 31.7932i | 0.221046 | + | 1.13403i | ||||
\(787\) | 26.3812 | + | 14.1010i | 0.940388 | + | 0.502648i | 0.869006 | − | 0.494801i | \(-0.164759\pi\) |
0.0713820 | + | 0.997449i | \(0.477259\pi\) | |||||||
\(788\) | 29.5860 | + | 40.0978i | 1.05396 | + | 1.42842i | ||||
\(789\) | 1.28035 | − | 1.33778i | 0.0455817 | − | 0.0476262i | ||||
\(790\) | −1.47400 | − | 2.33404i | −0.0524425 | − | 0.0830415i | ||||
\(791\) | −4.46610 | − | 6.68399i | −0.158796 | − | 0.237655i | ||||
\(792\) | −4.57252 | + | 10.0722i | −0.162478 | + | 0.357899i | ||||
\(793\) | 56.7266 | + | 37.9035i | 2.01442 | + | 1.34599i | ||||
\(794\) | −6.94762 | + | 6.59842i | −0.246562 | + | 0.234169i | ||||
\(795\) | 0.444411 | + | 1.00969i | 0.0157616 | + | 0.0358099i | ||||
\(796\) | 2.55169 | − | 5.36094i | 0.0904421 | − | 0.190014i | ||||
\(797\) | −2.91492 | + | 29.5957i | −0.103252 | + | 1.04833i | 0.794330 | + | 0.607486i | \(0.207822\pi\) |
−0.897582 | + | 0.440847i | \(0.854678\pi\) | |||||||
\(798\) | 1.62985 | + | 1.64242i | 0.0576961 | + | 0.0581411i | ||||
\(799\) | −21.6109 | − | 21.6109i | −0.764539 | − | 0.764539i | ||||
\(800\) | 4.63791 | + | 27.7402i | 0.163975 | + | 0.980764i | ||||
\(801\) | −22.4035 | + | 16.4348i | −0.791588 | + | 0.580696i | ||||
\(802\) | 32.2221 | − | 2.33702i | 1.13780 | − | 0.0825230i | ||||
\(803\) | 0.889317 | − | 9.02938i | 0.0313833 | − | 0.318640i | ||||
\(804\) | −25.9459 | − | 33.5965i | −0.915040 | − | 1.18486i | ||||
\(805\) | 0.321342 | − | 0.171761i | 0.0113258 | − | 0.00605378i | ||||
\(806\) | 2.81460 | + | 0.0725570i | 0.0991399 | + | 0.00255571i | ||||
\(807\) | −12.6539 | − | 9.92847i | −0.445437 | − | 0.349499i | ||||
\(808\) | −6.86764 | − | 21.0490i | −0.241603 | − | 0.740500i | ||||
\(809\) | 11.4409 | + | 17.1225i | 0.402239 | + | 0.601993i | 0.976196 | − | 0.216892i | \(-0.0695921\pi\) |
−0.573956 | + | 0.818886i | \(0.694592\pi\) | |||||||
\(810\) | 1.84451 | + | 1.07355i | 0.0648095 | + | 0.0377206i | ||||
\(811\) | −29.1110 | + | 35.4719i | −1.02223 | + | 1.24559i | −0.0532124 | + | 0.998583i | \(0.516946\pi\) |
−0.969015 | + | 0.247004i | \(0.920554\pi\) | |||||||
\(812\) | 13.7858 | − | 22.8725i | 0.483787 | − | 0.802667i | ||||
\(813\) | −12.4337 | + | 19.5219i | −0.436068 | + | 0.684663i | ||||
\(814\) | −3.12292 | − | 1.77419i | −0.109458 | − | 0.0621852i | ||||
\(815\) | 3.08434 | + | 1.27757i | 0.108040 | + | 0.0447515i | ||||
\(816\) | 11.1550 | + | 20.0417i | 0.390502 | + | 0.701600i | ||||
\(817\) | −3.27190 | + | 1.35527i | −0.114469 | + | 0.0474147i | ||||
\(818\) | 39.9068 | + | 4.97185i | 1.39531 | + | 0.173837i | ||||
\(819\) | −27.4024 | + | 3.91856i | −0.957519 | + | 0.136926i | ||||
\(820\) | 1.80017 | + | 0.649108i | 0.0628646 | + | 0.0226678i | ||||
\(821\) | −3.56997 | − | 36.2466i | −0.124593 | − | 1.26501i | −0.830624 | − | 0.556833i | \(-0.812016\pi\) |
0.706031 | − | 0.708181i | \(-0.250484\pi\) | |||||||
\(822\) | 13.0612 | − | 15.7910i | 0.455561 | − | 0.550775i | ||||
\(823\) | −5.99985 | + | 30.1633i | −0.209142 | + | 1.05143i | 0.723418 | + | 0.690410i | \(0.242570\pi\) |
−0.932560 | + | 0.361016i | \(0.882430\pi\) | |||||||
\(824\) | 14.2776 | + | 13.6942i | 0.497385 | + | 0.477060i | ||||
\(825\) | −1.34508 | − | 11.1452i | −0.0468298 | − | 0.388027i | ||||
\(826\) | −2.91072 | − | 7.57347i | −0.101277 | − | 0.263515i | ||||
\(827\) | −38.1126 | − | 11.5613i | −1.32531 | − | 0.402027i | −0.453228 | − | 0.891395i | \(-0.649728\pi\) |
−0.872078 | + | 0.489367i | \(0.837228\pi\) | |||||||
\(828\) | −3.15883 | + | 7.46337i | −0.109777 | + | 0.259370i | ||||
\(829\) | −0.426695 | − | 0.519930i | −0.0148197 | − | 0.0180579i | 0.765548 | − | 0.643379i | \(-0.222468\pi\) |
−0.780368 | + | 0.625321i | \(0.784968\pi\) | |||||||
\(830\) | −1.90419 | − | 0.631657i | −0.0660953 | − | 0.0219251i | ||||
\(831\) | 3.06202 | − | 40.0832i | 0.106220 | − | 1.39047i | ||||
\(832\) | −45.8102 | − | 2.58938i | −1.58818 | − | 0.0897706i | ||||
\(833\) | 14.6060 | 0.506067 | ||||||||
\(834\) | −17.8717 | + | 42.6816i | −0.618847 | + | 1.47794i | ||||
\(835\) | 0.120060 | − | 0.0985307i | 0.00415485 | − | 0.00340979i | ||||
\(836\) | −0.783797 | − | 1.31501i | −0.0271082 | − | 0.0454805i | ||||
\(837\) | −0.901308 | + | 1.56235i | −0.0311538 | + | 0.0540028i | ||||
\(838\) | 6.92863 | + | 18.0278i | 0.239346 | + | 0.622759i | ||||
\(839\) | 6.87656 | + | 34.5708i | 0.237405 | + | 1.19352i | 0.897047 | + | 0.441936i | \(0.145708\pi\) |
−0.659642 | + | 0.751580i | \(0.729292\pi\) | |||||||
\(840\) | −1.24706 | + | 0.437363i | −0.0430277 | + | 0.0150904i | ||||
\(841\) | −39.1230 | − | 7.78205i | −1.34907 | − | 0.268346i | ||||
\(842\) | 3.22342 | − | 4.56497i | 0.111086 | − | 0.157319i | ||||
\(843\) | −1.08679 | − | 49.5461i | −0.0374310 | − | 1.70646i | ||||
\(844\) | −21.3261 | − | 45.3787i | −0.734076 | − | 1.56200i | ||||
\(845\) | −3.19228 | + | 0.968369i | −0.109818 | + | 0.0333129i | ||||
\(846\) | −10.6895 | + | 37.6791i | −0.367512 | + | 1.29543i | ||||
\(847\) | −5.72598 | − | 13.8237i | −0.196747 | − | 0.474989i | ||||
\(848\) | 14.0657 | − | 5.74531i | 0.483016 | − | 0.197295i | ||||
\(849\) | −17.5974 | + | 34.7337i | −0.603940 | + | 1.19206i | ||||
\(850\) | −20.2400 | − | 11.4987i | −0.694226 | − | 0.394403i | ||||
\(851\) | −2.32078 | − | 1.24048i | −0.0795553 | − | 0.0425232i | ||||
\(852\) | −18.5083 | + | 3.11490i | −0.634085 | + | 0.106715i | ||||
\(853\) | 21.0004 | + | 17.2346i | 0.719040 | + | 0.590101i | 0.921125 | − | 0.389267i | \(-0.127272\pi\) |
−0.202085 | + | 0.979368i | \(0.564772\pi\) | |||||||
\(854\) | 5.96218 | − | 26.3989i | 0.204022 | − | 0.903353i | ||||
\(855\) | −0.267662 | + | 0.124888i | −0.00915384 | + | 0.00427107i | ||||
\(856\) | −27.0192 | − | 31.5573i | −0.923496 | − | 1.07861i | ||||
\(857\) | 3.02155 | + | 2.01893i | 0.103214 | + | 0.0689655i | 0.606106 | − | 0.795384i | \(-0.292731\pi\) |
−0.502892 | + | 0.864349i | \(0.667731\pi\) | |||||||
\(858\) | 18.2190 | + | 1.86511i | 0.621985 | + | 0.0636738i | ||||
\(859\) | −23.3179 | − | 43.6248i | −0.795598 | − | 1.48846i | −0.870988 | − | 0.491304i | \(-0.836520\pi\) |
0.0753904 | − | 0.997154i | \(-0.475980\pi\) | |||||||
\(860\) | 0.104215 | − | 2.01998i | 0.00355370 | − | 0.0688809i | ||||
\(861\) | 2.75931 | − | 15.6593i | 0.0940369 | − | 0.533668i | ||||
\(862\) | −41.5940 | + | 3.01674i | −1.41670 | + | 0.102751i | ||||
\(863\) | −32.0517 | − | 32.0517i | −1.09105 | − | 1.09105i | −0.995416 | − | 0.0956378i | \(-0.969511\pi\) |
−0.0956378 | − | 0.995416i | \(-0.530489\pi\) | |||||||
\(864\) | 15.4625 | − | 24.9982i | 0.526047 | − | 0.850456i | ||||
\(865\) | 2.70155 | − | 2.70155i | 0.0918555 | − | 0.0918555i | ||||
\(866\) | −32.2587 | + | 37.3039i | −1.09619 | + | 1.26764i | ||||
\(867\) | 10.3020 | + | 1.81531i | 0.349876 | + | 0.0616511i | ||||
\(868\) | −0.373681 | − | 1.05252i | −0.0126836 | − | 0.0357249i | ||||
\(869\) | 13.3838 | − | 7.15378i | 0.454013 | − | 0.242675i | ||||
\(870\) | 2.15250 | + | 2.64347i | 0.0729765 | + | 0.0896221i | ||||
\(871\) | −39.0463 | + | 58.4369i | −1.32303 | + | 1.98006i | ||||
\(872\) | 14.4049 | + | 11.3274i | 0.487812 | + | 0.383596i | ||||
\(873\) | 10.7550 | + | 23.0504i | 0.364003 | + | 0.780138i | ||||
\(874\) | −0.598895 | − | 0.948336i | −0.0202579 | − | 0.0320780i | ||||
\(875\) | 1.70651 | − | 2.07939i | 0.0576905 | − | 0.0702961i | ||||
\(876\) | −5.40176 | + | 23.4971i | −0.182509 | + | 0.793894i | ||||
\(877\) | −22.2388 | + | 41.6058i | −0.750950 | + | 1.40493i | 0.157751 | + | 0.987479i | \(0.449576\pi\) |
−0.908700 | + | 0.417449i | \(0.862924\pi\) | |||||||
\(878\) | −7.09798 | − | 25.7720i | −0.239545 | − | 0.869764i | ||||
\(879\) | −31.8180 | − | 16.1201i | −1.07319 | − | 0.543718i | ||||
\(880\) | 0.870541 | − | 0.0814203i | 0.0293459 | − | 0.00274468i | ||||
\(881\) | 29.4035 | − | 12.1793i | 0.990629 | − | 0.410332i | 0.172277 | − | 0.985049i | \(-0.444888\pi\) |
0.818353 | + | 0.574717i | \(0.194888\pi\) | |||||||
\(882\) | −9.12061 | − | 16.3452i | −0.307107 | − | 0.550372i | ||||
\(883\) | −3.25410 | − | 10.7273i | −0.109509 | − | 0.361003i | 0.885008 | − | 0.465576i | \(-0.154153\pi\) |
−0.994517 | + | 0.104572i | \(0.966653\pi\) | |||||||
\(884\) | 25.5722 | − | 28.0756i | 0.860088 | − | 0.944284i | ||||
\(885\) | 1.03544 | − | 0.0227124i | 0.0348061 | − | 0.000763468i | ||||
\(886\) | −6.95397 | + | 1.19782i | −0.233623 | + | 0.0402417i | ||||
\(887\) | −2.01969 | + | 10.1536i | −0.0678144 | + | 0.340926i | −0.999765 | − | 0.0216581i | \(-0.993105\pi\) |
0.931951 | + | 0.362584i | \(0.118105\pi\) | |||||||
\(888\) | 7.63008 | + | 5.73372i | 0.256049 | + | 0.192411i | ||||
\(889\) | 13.4351 | − | 2.67241i | 0.450599 | − | 0.0896298i | ||||
\(890\) | 2.00674 | + | 0.892478i | 0.0672659 | + | 0.0299159i | ||||
\(891\) | −6.61979 | + | 9.68656i | −0.221771 | + | 0.324512i | ||||
\(892\) | 4.58885 | + | 31.4684i | 0.153646 | + | 1.05364i | ||||
\(893\) | −3.43870 | − | 4.19007i | −0.115072 | − | 0.140215i | ||||
\(894\) | 44.6366 | − | 18.2885i | 1.49287 | − | 0.611659i | ||||
\(895\) | − | 0.246723i | − | 0.00824704i | ||||||
\(896\) | 5.56049 | + | 17.3312i | 0.185763 | + | 0.578995i | ||||
\(897\) | 13.3791 | + | 1.02205i | 0.446716 | + | 0.0341253i | ||||
\(898\) | −28.1201 | + | 14.1111i | −0.938378 | + | 0.470895i | ||||
\(899\) | −2.22711 | + | 1.82774i | −0.0742784 | + | 0.0609587i | ||||
\(900\) | −0.229206 | + | 29.8304i | −0.00764019 | + | 0.994348i | ||||
\(901\) | −3.65044 | + | 12.0339i | −0.121614 | + | 0.400907i | ||||
\(902\) | −4.27495 | + | 9.61222i | −0.142340 | + | 0.320052i | ||||
\(903\) | −16.6856 | + | 2.01373i | −0.555262 | + | 0.0670129i | ||||
\(904\) | −3.04568 | − | 13.8009i | −0.101298 | − | 0.459013i | ||||
\(905\) | 2.54219 | + | 0.505673i | 0.0845053 | + | 0.0168092i | ||||
\(906\) | 3.05197 | + | 32.2571i | 0.101395 | + | 1.07167i | ||||
\(907\) | 20.6854 | − | 2.03734i | 0.686848 | − | 0.0676486i | 0.251428 | − | 0.967876i | \(-0.419100\pi\) |
0.435420 | + | 0.900227i | \(0.356600\pi\) | |||||||
\(908\) | −17.4760 | + | 19.1868i | −0.579962 | + | 0.636736i | ||||
\(909\) | −3.32442 | − | 23.2476i | −0.110264 | − | 0.771073i | ||||
\(910\) | 1.34402 | + | 1.72657i | 0.0445538 | + | 0.0572354i | ||||
\(911\) | 1.10938 | + | 2.67829i | 0.0367555 | + | 0.0887356i | 0.941191 | − | 0.337874i | \(-0.109708\pi\) |
−0.904436 | + | 0.426610i | \(0.859708\pi\) | |||||||
\(912\) | 1.62048 | + | 3.73133i | 0.0536595 | + | 0.123557i | ||||
\(913\) | 4.22063 | − | 10.1895i | 0.139683 | − | 0.337223i | ||||
\(914\) | −32.5495 | + | 8.96460i | −1.07664 | + | 0.296523i | ||||
\(915\) | 2.91387 | + | 1.85587i | 0.0963296 | + | 0.0613532i | ||||
\(916\) | −12.1375 | − | 1.83094i | −0.401035 | − | 0.0604960i | ||||
\(917\) | −16.4452 | − | 13.4963i | −0.543070 | − | 0.445686i | ||||
\(918\) | 7.98795 | + | 22.9795i | 0.263641 | + | 0.758437i | ||||
\(919\) | −38.7937 | + | 25.9211i | −1.27969 | + | 0.855060i | −0.994634 | − | 0.103452i | \(-0.967011\pi\) |
−0.285053 | + | 0.958512i | \(0.592011\pi\) | |||||||
\(920\) | 0.636063 | − | 0.0760702i | 0.0209704 | − | 0.00250796i | ||||
\(921\) | 15.1143 | − | 19.2633i | 0.498035 | − | 0.634747i | ||||
\(922\) | −3.85232 | + | 3.65869i | −0.126869 | + | 0.120493i | ||||
\(923\) | 14.6485 | + | 27.4054i | 0.482161 | + | 0.902059i | ||||
\(924\) | −1.90214 | − | 7.01159i | −0.0625759 | − | 0.230664i | ||||
\(925\) | −9.63970 | − | 0.949427i | −0.316951 | − | 0.0312170i | ||||
\(926\) | −18.6708 | − | 16.1456i | −0.613560 | − | 0.530578i | ||||
\(927\) | 12.4116 | + | 16.9191i | 0.407650 | + | 0.555697i | ||||
\(928\) | 37.1911 | − | 28.6581i | 1.22086 | − | 0.940748i | ||||
\(929\) | 16.3115 | − | 16.3115i | 0.535165 | − | 0.535165i | −0.386940 | − | 0.922105i | \(-0.626468\pi\) |
0.922105 | + | 0.386940i | \(0.126468\pi\) | |||||||
\(930\) | 0.142569 | 0.000547717i | 0.00467503 | 1.79603e-5i | ||||||
\(931\) | 2.57800 | + | 0.253910i | 0.0844904 | + | 0.00832158i | ||||
\(932\) | 2.61117 | − | 50.6119i | 0.0855317 | − | 1.65785i | ||||
\(933\) | −3.07540 | + | 1.35363i | −0.100684 | + | 0.0443159i | ||||
\(934\) | 55.3699 | + | 1.42737i | 1.81176 | + | 0.0467050i | ||||
\(935\) | −0.402045 | + | 0.601702i | −0.0131483 | + | 0.0196778i | ||||
\(936\) | −47.3872 | − | 11.0857i | −1.54890 | − | 0.362348i | ||||
\(937\) | −24.6392 | + | 16.4634i | −0.804927 | + | 0.537835i | −0.888613 | − | 0.458657i | \(-0.848331\pi\) |
0.0836866 | + | 0.996492i | \(0.473331\pi\) | |||||||
\(938\) | 27.1949 | + | 6.14194i | 0.887944 | + | 0.200542i | ||||
\(939\) | 25.7679 | + | 24.6617i | 0.840903 | + | 0.804805i | ||||
\(940\) | 3.00489 | − | 0.744838i | 0.0980086 | − | 0.0242939i | ||||
\(941\) | −10.0246 | + | 18.7547i | −0.326793 | + | 0.611387i | −0.990643 | − | 0.136479i | \(-0.956421\pi\) |
0.663850 | + | 0.747866i | \(0.268921\pi\) | |||||||
\(942\) | 9.52612 | − | 14.1390i | 0.310378 | − | 0.460672i | ||||
\(943\) | −2.94956 | + | 7.12088i | −0.0960510 | + | 0.231888i | ||||
\(944\) | 0.0701490 | − | 14.2643i | 0.00228315 | − | 0.464265i | ||||
\(945\) | −1.38290 | + | 0.228806i | −0.0449856 | + | 0.00744307i | ||||
\(946\) | 11.0342 | + | 1.37471i | 0.358752 | + | 0.0446957i | ||||
\(947\) | 11.3924 | + | 37.5558i | 0.370205 | + | 1.22040i | 0.922252 | + | 0.386589i | \(0.126347\pi\) |
−0.552048 | + | 0.833813i | \(0.686153\pi\) | |||||||
\(948\) | −37.6976 | + | 14.3224i | −1.22436 | + | 0.465169i | ||||
\(949\) | 39.7261 | − | 3.91268i | 1.28956 | − | 0.127011i | ||||
\(950\) | −3.37252 | − | 2.38141i | −0.109419 | − | 0.0772631i | ||||
\(951\) | −9.22271 | + | 32.9911i | −0.299067 | + | 1.06981i | ||||
\(952\) | −14.0351 | − | 5.47349i | −0.454881 | − | 0.177397i | ||||
\(953\) | −9.86486 | + | 1.96224i | −0.319554 | + | 0.0635633i | −0.352261 | − | 0.935902i | \(-0.614587\pi\) |
0.0327071 | + | 0.999465i | \(0.489587\pi\) | |||||||
\(954\) | 15.7463 | − | 3.42936i | 0.509806 | − | 0.111030i | ||||
\(955\) | −0.671327 | + | 2.21307i | −0.0217236 | + | 0.0716132i | ||||
\(956\) | 10.3971 | + | 17.4437i | 0.336267 | + | 0.564168i | ||||
\(957\) | −15.3502 | + | 10.7509i | −0.496201 | + | 0.347529i | ||||
\(958\) | 47.7072 | + | 15.8254i | 1.54135 | + | 0.511295i | ||||
\(959\) | 13.4593i | 0.434624i | ||||||||
\(960\) | −2.32201 | − | 0.0802171i | −0.0749427 | − | 0.00258900i | ||||
\(961\) | − | 30.8795i | − | 0.996113i | ||||||
\(962\) | 4.97532 | − | 14.9986i | 0.160411 | − | 0.483573i | ||||
\(963\) | −22.4557 | − | 37.9128i | −0.723623 | − | 1.22172i | ||||
\(964\) | 19.5318 | + | 4.94353i | 0.629076 | + | 0.159220i | ||||
\(965\) | 0.392889 | − | 1.29518i | 0.0126475 | − | 0.0416934i | ||||
\(966\) | −1.52555 | − | 5.09950i | −0.0490837 | − | 0.164074i | ||||
\(967\) | 31.0290 | − | 6.17204i | 0.997824 | − | 0.198479i | 0.330948 | − | 0.943649i | \(-0.392631\pi\) |
0.666875 | + | 0.745169i | \(0.267631\pi\) | |||||||
\(968\) | −0.548584 | − | 26.3004i | −0.0176321 | − | 0.845326i | ||||
\(969\) | −3.24264 | − | 0.906485i | −0.104169 | − | 0.0291205i | ||||
\(970\) | 1.15972 | − | 1.64238i | 0.0372362 | − | 0.0527336i | ||||
\(971\) | 48.2282 | − | 4.75006i | 1.54772 | − | 0.152437i | 0.712229 | − | 0.701948i | \(-0.247686\pi\) |
0.835487 | + | 0.549511i | \(0.185186\pi\) | |||||||
\(972\) | 20.7278 | − | 23.2885i | 0.664846 | − | 0.746981i | ||||
\(973\) | −8.82202 | − | 29.0823i | −0.282821 | − | 0.932335i | ||||
\(974\) | −0.943247 | + | 7.57102i | −0.0302236 | + | 0.242591i | ||||
\(975\) | 46.9383 | − | 15.3704i | 1.50323 | − | 0.492248i | ||||
\(976\) | 26.6289 | − | 39.4319i | 0.852372 | − | 1.26218i | ||||
\(977\) | 7.18855 | − | 17.3547i | 0.229982 | − | 0.555226i | −0.766193 | − | 0.642611i | \(-0.777851\pi\) |
0.996175 | + | 0.0873854i | \(0.0278511\pi\) | |||||||
\(978\) | 27.2505 | − | 40.4460i | 0.871375 | − | 1.29332i | ||||
\(979\) | −5.69150 | + | 10.6481i | −0.181901 | + | 0.340313i | ||||
\(980\) | −0.763740 | + | 1.26715i | −0.0243968 | + | 0.0404775i | ||||
\(981\) | 12.9775 | + | 14.4697i | 0.414341 | + | 0.461983i | ||||
\(982\) | 6.63623 | − | 29.3834i | 0.211770 | − | 0.937663i | ||||
\(983\) | −14.3758 | + | 9.60563i | −0.458518 | + | 0.306372i | −0.763293 | − | 0.646052i | \(-0.776419\pi\) |
0.304775 | + | 0.952424i | \(0.401419\pi\) | |||||||
\(984\) | 14.5225 | − | 23.8867i | 0.462960 | − | 0.761481i | ||||
\(985\) | 2.32105 | − | 3.47370i | 0.0739549 | − | 0.110681i | ||||
\(986\) | −1.00144 | + | 38.8474i | −0.0318924 | + | 1.23715i | ||||
\(987\) | −10.3628 | − | 23.5440i | −0.329852 | − | 0.749413i | ||||
\(988\) | 5.00164 | − | 4.51087i | 0.159123 | − | 0.143510i | ||||
\(989\) | 8.10758 | + | 0.798527i | 0.257806 | + | 0.0253917i | ||||
\(990\) | 0.924406 | + | 0.0741898i | 0.0293795 | + | 0.00235791i | ||||
\(991\) | 12.9815 | − | 12.9815i | 0.412369 | − | 0.412369i | −0.470194 | − | 0.882563i | \(-0.655816\pi\) |
0.882563 | + | 0.470194i | \(0.155816\pi\) | |||||||
\(992\) | 0.0602555 | − | 1.96269i | 0.00191311 | − | 0.0623153i | ||||
\(993\) | −11.7181 | − | 13.6565i | −0.371862 | − | 0.433375i | ||||
\(994\) | 8.06309 | − | 9.32416i | 0.255746 | − | 0.295745i | ||||
\(995\) | −0.495372 | − | 0.0487899i | −0.0157043 | − | 0.00154674i | ||||
\(996\) | −14.5748 | + | 25.4266i | −0.461821 | + | 0.805674i | ||||
\(997\) | −8.22656 | − | 15.3908i | −0.260538 | − | 0.487432i | 0.717309 | − | 0.696756i | \(-0.245374\pi\) |
−0.977846 | + | 0.209324i | \(0.932874\pi\) | |||||||
\(998\) | −8.34182 | − | 8.78329i | −0.264056 | − | 0.278030i | ||||
\(999\) | 6.92273 | + | 7.38622i | 0.219025 | + | 0.233690i |
(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 | 384.2.w.a.323.54 | yes | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.323.9 | yes | 992 | |
128.107 | odd | 32 | inner | 384.2.w.a.107.9 | ✓ | 992 | |
384.107 | even | 32 | inner | 384.2.w.a.107.54 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.107.9 | ✓ | 992 | 128.107 | odd | 32 | inner | |
384.2.w.a.107.54 | yes | 992 | 384.107 | even | 32 | inner | |
384.2.w.a.323.9 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.323.54 | yes | 992 | 1.1 | even | 1 | trivial |