Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 5 x^{19} + 8 x^{18} - 32 x^{17} + 277 x^{16} - 1138 x^{15} + 2950 x^{14} - 6404 x^{13} + \cdots + 7921 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 151.1 | ||
Root | \(1.01145 + 2.21477i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.151 |
Dual form | 690.2.m.d.361.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | − | 0.755750i | −0.463056 | − | 0.534396i | ||||
\(3\) | −0.841254 | − | 0.540641i | −0.485698 | − | 0.312139i | ||||
\(4\) | −0.142315 | + | 0.989821i | −0.0711574 | + | 0.494911i | ||||
\(5\) | −0.415415 | + | 0.909632i | −0.185779 | + | 0.406800i | ||||
\(6\) | 0.142315 | + | 0.989821i | 0.0580998 | + | 0.404093i | ||||
\(7\) | −0.783059 | − | 0.229927i | −0.295969 | − | 0.0869042i | 0.130377 | − | 0.991464i | \(-0.458381\pi\) |
−0.426346 | + | 0.904560i | \(0.640199\pi\) | |||||||
\(8\) | 0.841254 | − | 0.540641i | 0.297428 | − | 0.191145i | ||||
\(9\) | 0.415415 | + | 0.909632i | 0.138472 | + | 0.303211i | ||||
\(10\) | 0.959493 | − | 0.281733i | 0.303418 | − | 0.0890917i | ||||
\(11\) | 1.71394 | − | 1.97799i | 0.516771 | − | 0.596386i | −0.436048 | − | 0.899923i | \(-0.643622\pi\) |
0.952819 | + | 0.303538i | \(0.0981678\pi\) | |||||||
\(12\) | 0.654861 | − | 0.755750i | 0.189042 | − | 0.218166i | ||||
\(13\) | −2.29152 | + | 0.672852i | −0.635554 | + | 0.186615i | −0.583609 | − | 0.812035i | \(-0.698360\pi\) |
−0.0519445 | + | 0.998650i | \(0.516542\pi\) | |||||||
\(14\) | 0.339028 | + | 0.742367i | 0.0906089 | + | 0.198406i | ||||
\(15\) | 0.841254 | − | 0.540641i | 0.217211 | − | 0.139593i | ||||
\(16\) | −0.959493 | − | 0.281733i | −0.239873 | − | 0.0704331i | ||||
\(17\) | 0.649970 | + | 4.52064i | 0.157641 | + | 1.09642i | 0.902965 | + | 0.429714i | \(0.141386\pi\) |
−0.745324 | + | 0.666702i | \(0.767705\pi\) | |||||||
\(18\) | 0.415415 | − | 0.909632i | 0.0979143 | − | 0.214402i | ||||
\(19\) | 1.10206 | − | 7.66498i | 0.252830 | − | 1.75847i | −0.328221 | − | 0.944601i | \(-0.606449\pi\) |
0.581051 | − | 0.813867i | \(-0.302642\pi\) | |||||||
\(20\) | −0.841254 | − | 0.540641i | −0.188110 | − | 0.120891i | ||||
\(21\) | 0.534443 | + | 0.616781i | 0.116625 | + | 0.134593i | ||||
\(22\) | −2.61725 | −0.558000 | ||||||||
\(23\) | 3.90203 | + | 2.78822i | 0.813629 | + | 0.581385i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.654861 | − | 0.755750i | −0.130972 | − | 0.151150i | ||||
\(26\) | 2.00914 | + | 1.29119i | 0.394024 | + | 0.253224i | ||||
\(27\) | 0.142315 | − | 0.989821i | 0.0273885 | − | 0.190491i | ||||
\(28\) | 0.339028 | − | 0.742367i | 0.0640702 | − | 0.140294i | ||||
\(29\) | −1.15316 | − | 8.02038i | −0.214136 | − | 1.48935i | −0.759148 | − | 0.650919i | \(-0.774384\pi\) |
0.545012 | − | 0.838428i | \(-0.316525\pi\) | |||||||
\(30\) | −0.959493 | − | 0.281733i | −0.175179 | − | 0.0514371i | ||||
\(31\) | 6.77416 | − | 4.35349i | 1.21668 | − | 0.781910i | 0.234912 | − | 0.972017i | \(-0.424520\pi\) |
0.981763 | + | 0.190107i | \(0.0608834\pi\) | |||||||
\(32\) | 0.415415 | + | 0.909632i | 0.0734357 | + | 0.160802i | ||||
\(33\) | −2.51123 | + | 0.737365i | −0.437150 | + | 0.128359i | ||||
\(34\) | 2.99083 | − | 3.45160i | 0.512923 | − | 0.591945i | ||||
\(35\) | 0.534443 | − | 0.616781i | 0.0903374 | − | 0.104255i | ||||
\(36\) | −0.959493 | + | 0.281733i | −0.159915 | + | 0.0469554i | ||||
\(37\) | −4.56855 | − | 10.0037i | −0.751064 | − | 1.64460i | −0.764443 | − | 0.644691i | \(-0.776986\pi\) |
0.0133788 | − | 0.999910i | \(-0.495741\pi\) | |||||||
\(38\) | −6.51450 | + | 4.18662i | −1.05679 | + | 0.679159i | ||||
\(39\) | 2.29152 | + | 0.672852i | 0.366937 | + | 0.107742i | ||||
\(40\) | 0.142315 | + | 0.989821i | 0.0225020 | + | 0.156505i | ||||
\(41\) | 1.04394 | − | 2.28592i | 0.163037 | − | 0.357000i | −0.810428 | − | 0.585838i | \(-0.800765\pi\) |
0.973465 | + | 0.228838i | \(0.0734926\pi\) | |||||||
\(42\) | 0.116146 | − | 0.807811i | 0.0179217 | − | 0.124648i | ||||
\(43\) | −0.744407 | − | 0.478401i | −0.113521 | − | 0.0729555i | 0.482648 | − | 0.875814i | \(-0.339675\pi\) |
−0.596169 | + | 0.802859i | \(0.703311\pi\) | |||||||
\(44\) | 1.71394 | + | 1.97799i | 0.258386 | + | 0.298193i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −0.448084 | − | 4.77485i | −0.0660664 | − | 0.704014i | ||||
\(47\) | −2.60326 | −0.379724 | −0.189862 | − | 0.981811i | \(-0.560804\pi\) | ||||
−0.189862 | + | 0.981811i | \(0.560804\pi\) | |||||||
\(48\) | 0.654861 | + | 0.755750i | 0.0945210 | + | 0.109083i | ||||
\(49\) | −5.32846 | − | 3.42439i | −0.761208 | − | 0.489199i | ||||
\(50\) | −0.142315 | + | 0.989821i | −0.0201264 | + | 0.139982i | ||||
\(51\) | 1.89725 | − | 4.15440i | 0.265668 | − | 0.581733i | ||||
\(52\) | −0.339885 | − | 2.36395i | −0.0471336 | − | 0.327822i | ||||
\(53\) | 0.800620 | + | 0.235083i | 0.109974 | + | 0.0322912i | 0.336256 | − | 0.941770i | \(-0.390839\pi\) |
−0.226283 | + | 0.974062i | \(0.572657\pi\) | |||||||
\(54\) | −0.841254 | + | 0.540641i | −0.114480 | + | 0.0735719i | ||||
\(55\) | 1.08725 | + | 2.38074i | 0.146604 | + | 0.321018i | ||||
\(56\) | −0.783059 | + | 0.229927i | −0.104641 | + | 0.0307253i | ||||
\(57\) | −5.07111 | + | 5.85238i | −0.671685 | + | 0.775166i | ||||
\(58\) | −5.30624 | + | 6.12373i | −0.696744 | + | 0.804085i | ||||
\(59\) | −1.85246 | + | 0.543931i | −0.241170 | + | 0.0708138i | −0.400084 | − | 0.916479i | \(-0.631019\pi\) |
0.158914 | + | 0.987292i | \(0.449201\pi\) | |||||||
\(60\) | 0.415415 | + | 0.909632i | 0.0536298 | + | 0.117433i | ||||
\(61\) | 4.71535 | − | 3.03037i | 0.603739 | − | 0.387999i | −0.202766 | − | 0.979227i | \(-0.564993\pi\) |
0.806504 | + | 0.591228i | \(0.201357\pi\) | |||||||
\(62\) | −7.72628 | − | 2.26864i | −0.981239 | − | 0.288118i | ||||
\(63\) | −0.116146 | − | 0.807811i | −0.0146330 | − | 0.101775i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | 0.339885 | − | 2.36395i | 0.0421576 | − | 0.293212i | ||||
\(66\) | 2.20177 | + | 1.41499i | 0.271019 | + | 0.174174i | ||||
\(67\) | 3.11886 | + | 3.59935i | 0.381029 | + | 0.439731i | 0.913575 | − | 0.406670i | \(-0.133310\pi\) |
−0.532546 | + | 0.846401i | \(0.678765\pi\) | |||||||
\(68\) | −4.56713 | −0.553845 | ||||||||
\(69\) | −1.77516 | − | 4.45520i | −0.213705 | − | 0.536343i | ||||
\(70\) | −0.816118 | −0.0975447 | ||||||||
\(71\) | 0.135277 | + | 0.156118i | 0.0160544 | + | 0.0185278i | 0.763720 | − | 0.645548i | \(-0.223371\pi\) |
−0.747666 | + | 0.664075i | \(0.768825\pi\) | |||||||
\(72\) | 0.841254 | + | 0.540641i | 0.0991427 | + | 0.0637151i | ||||
\(73\) | 1.54798 | − | 10.7665i | 0.181178 | − | 1.26012i | −0.672806 | − | 0.739819i | \(-0.734911\pi\) |
0.853984 | − | 0.520299i | \(-0.174180\pi\) | |||||||
\(74\) | −4.56855 | + | 10.0037i | −0.531083 | + | 1.16291i | ||||
\(75\) | 0.142315 | + | 0.989821i | 0.0164331 | + | 0.114295i | ||||
\(76\) | 7.43013 | + | 2.18168i | 0.852294 | + | 0.250256i | ||||
\(77\) | −1.79691 | + | 1.15480i | −0.204776 | + | 0.131602i | ||||
\(78\) | −0.992121 | − | 2.17244i | −0.112336 | − | 0.245981i | ||||
\(79\) | −15.4803 | + | 4.54543i | −1.74167 | + | 0.511401i | −0.989117 | − | 0.147129i | \(-0.952997\pi\) |
−0.752555 | + | 0.658530i | \(0.771179\pi\) | |||||||
\(80\) | 0.654861 | − | 0.755750i | 0.0732157 | − | 0.0844954i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −2.41122 | + | 0.707998i | −0.266275 | + | 0.0781853i | ||||
\(83\) | 0.283327 | + | 0.620399i | 0.0310991 | + | 0.0680976i | 0.924544 | − | 0.381075i | \(-0.124446\pi\) |
−0.893445 | + | 0.449173i | \(0.851719\pi\) | |||||||
\(84\) | −0.686562 | + | 0.441227i | −0.0749100 | + | 0.0481418i | ||||
\(85\) | −4.38212 | − | 1.28671i | −0.475308 | − | 0.139563i | ||||
\(86\) | 0.125931 | + | 0.875872i | 0.0135795 | + | 0.0944477i | ||||
\(87\) | −3.36605 | + | 7.37062i | −0.360878 | + | 0.790213i | ||||
\(88\) | 0.372474 | − | 2.59061i | 0.0397058 | − | 0.276160i | ||||
\(89\) | 8.86906 | + | 5.69980i | 0.940118 | + | 0.604177i | 0.918428 | − | 0.395587i | \(-0.129459\pi\) |
0.0216901 | + | 0.999765i | \(0.493095\pi\) | |||||||
\(90\) | 0.654861 | + | 0.755750i | 0.0690284 | + | 0.0796630i | ||||
\(91\) | 1.94910 | 0.204322 | ||||||||
\(92\) | −3.31516 | + | 3.46550i | −0.345629 | + | 0.361304i | ||||
\(93\) | −8.05246 | −0.835002 | ||||||||
\(94\) | 1.70477 | + | 1.96741i | 0.175834 | + | 0.202923i | ||||
\(95\) | 6.51450 | + | 4.18662i | 0.668374 | + | 0.429538i | ||||
\(96\) | 0.142315 | − | 0.989821i | 0.0145249 | − | 0.101023i | ||||
\(97\) | 5.54981 | − | 12.1524i | 0.563498 | − | 1.23389i | −0.386690 | − | 0.922210i | \(-0.626382\pi\) |
0.950188 | − | 0.311678i | \(-0.100891\pi\) | |||||||
\(98\) | 0.901415 | + | 6.26948i | 0.0910567 | + | 0.633313i | ||||
\(99\) | 2.51123 | + | 0.737365i | 0.252389 | + | 0.0741080i | ||||
\(100\) | 0.841254 | − | 0.540641i | 0.0841254 | − | 0.0540641i | ||||
\(101\) | −0.447077 | − | 0.978962i | −0.0444858 | − | 0.0974104i | 0.886084 | − | 0.463524i | \(-0.153415\pi\) |
−0.930570 | + | 0.366114i | \(0.880688\pi\) | |||||||
\(102\) | −4.38212 | + | 1.28671i | −0.433895 | + | 0.127403i | ||||
\(103\) | 6.60318 | − | 7.62047i | 0.650630 | − | 0.750867i | −0.330587 | − | 0.943776i | \(-0.607247\pi\) |
0.981217 | + | 0.192908i | \(0.0617920\pi\) | |||||||
\(104\) | −1.56398 | + | 1.80493i | −0.153361 | + | 0.176988i | ||||
\(105\) | −0.783059 | + | 0.229927i | −0.0764187 | + | 0.0224386i | ||||
\(106\) | −0.346631 | − | 0.759015i | −0.0336677 | − | 0.0737221i | ||||
\(107\) | 13.8053 | − | 8.87214i | 1.33461 | − | 0.857702i | 0.338095 | − | 0.941112i | \(-0.390218\pi\) |
0.996515 | + | 0.0834101i | \(0.0265811\pi\) | |||||||
\(108\) | 0.959493 | + | 0.281733i | 0.0923273 | + | 0.0271097i | ||||
\(109\) | −1.39518 | − | 9.70367i | −0.133634 | − | 0.929443i | −0.940762 | − | 0.339067i | \(-0.889889\pi\) |
0.807129 | − | 0.590376i | \(-0.201020\pi\) | |||||||
\(110\) | 1.08725 | − | 2.38074i | 0.103665 | − | 0.226994i | ||||
\(111\) | −1.56511 | + | 10.8856i | −0.148554 | + | 1.03322i | ||||
\(112\) | 0.686562 | + | 0.441227i | 0.0648740 | + | 0.0416920i | ||||
\(113\) | 6.38445 | + | 7.36805i | 0.600598 | + | 0.693127i | 0.971902 | − | 0.235384i | \(-0.0756347\pi\) |
−0.371304 | + | 0.928511i | \(0.621089\pi\) | |||||||
\(114\) | 7.74381 | 0.725274 | ||||||||
\(115\) | −4.15722 | + | 2.39114i | −0.387663 | + | 0.222975i | ||||
\(116\) | 8.10285 | 0.752331 | ||||||||
\(117\) | −1.56398 | − | 1.80493i | −0.144590 | − | 0.166866i | ||||
\(118\) | 1.62418 | + | 1.04380i | 0.149518 | + | 0.0960892i | ||||
\(119\) | 0.530452 | − | 3.68937i | 0.0486264 | − | 0.338204i | ||||
\(120\) | 0.415415 | − | 0.909632i | 0.0379220 | − | 0.0830377i | ||||
\(121\) | 0.590605 | + | 4.10775i | 0.0536914 | + | 0.373432i | ||||
\(122\) | −5.37810 | − | 1.57915i | −0.486910 | − | 0.142970i | ||||
\(123\) | −2.11408 | + | 1.35864i | −0.190620 | + | 0.122504i | ||||
\(124\) | 3.34511 | + | 7.32478i | 0.300400 | + | 0.657785i | ||||
\(125\) | 0.959493 | − | 0.281733i | 0.0858197 | − | 0.0251989i | ||||
\(126\) | −0.534443 | + | 0.616781i | −0.0476120 | + | 0.0549472i | ||||
\(127\) | −13.5042 | + | 15.5847i | −1.19830 | + | 1.38292i | −0.294122 | + | 0.955768i | \(0.595027\pi\) |
−0.904182 | + | 0.427148i | \(0.859518\pi\) | |||||||
\(128\) | −0.959493 | + | 0.281733i | −0.0848080 | + | 0.0249019i | ||||
\(129\) | 0.367592 | + | 0.804914i | 0.0323647 | + | 0.0708687i | ||||
\(130\) | −2.00914 | + | 1.29119i | −0.176213 | + | 0.113245i | ||||
\(131\) | 13.4732 | + | 3.95608i | 1.17716 | + | 0.345644i | 0.811077 | − | 0.584940i | \(-0.198882\pi\) |
0.366079 | + | 0.930584i | \(0.380700\pi\) | |||||||
\(132\) | −0.372474 | − | 2.59061i | −0.0324197 | − | 0.225484i | ||||
\(133\) | −2.62536 | + | 5.74874i | −0.227648 | + | 0.498479i | ||||
\(134\) | 0.677793 | − | 4.71415i | 0.0585524 | − | 0.407241i | ||||
\(135\) | 0.841254 | + | 0.540641i | 0.0724036 | + | 0.0465310i | ||||
\(136\) | 2.99083 | + | 3.45160i | 0.256462 | + | 0.295973i | ||||
\(137\) | −11.7664 | −1.00527 | −0.502636 | − | 0.864498i | \(-0.667637\pi\) | ||||
−0.502636 | + | 0.864498i | \(0.667637\pi\) | |||||||
\(138\) | −2.20453 | + | 4.25911i | −0.187662 | + | 0.362560i | ||||
\(139\) | 14.8946 | 1.26335 | 0.631674 | − | 0.775234i | \(-0.282368\pi\) | ||||
0.631674 | + | 0.775234i | \(0.282368\pi\) | |||||||
\(140\) | 0.534443 | + | 0.616781i | 0.0451687 | + | 0.0521275i | ||||
\(141\) | 2.19000 | + | 1.40743i | 0.184431 | + | 0.118527i | ||||
\(142\) | 0.0293985 | − | 0.204471i | 0.00246707 | − | 0.0171589i | ||||
\(143\) | −2.59663 | + | 5.68583i | −0.217141 | + | 0.475473i | ||||
\(144\) | −0.142315 | − | 0.989821i | −0.0118596 | − | 0.0824851i | ||||
\(145\) | 7.77463 | + | 2.28284i | 0.645648 | + | 0.189579i | ||||
\(146\) | −9.15046 | + | 5.88064i | −0.757297 | + | 0.486685i | ||||
\(147\) | 2.63122 | + | 5.76157i | 0.217019 | + | 0.475206i | ||||
\(148\) | 10.5521 | − | 3.09837i | 0.867375 | − | 0.254684i | ||||
\(149\) | −12.4790 | + | 14.4016i | −1.02232 | + | 1.17982i | −0.0387607 | + | 0.999249i | \(0.512341\pi\) |
−0.983561 | + | 0.180574i | \(0.942204\pi\) | |||||||
\(150\) | 0.654861 | − | 0.755750i | 0.0534692 | − | 0.0617067i | ||||
\(151\) | 21.2618 | − | 6.24301i | 1.73026 | − | 0.508049i | 0.743290 | − | 0.668970i | \(-0.233264\pi\) |
0.986967 | + | 0.160920i | \(0.0514462\pi\) | |||||||
\(152\) | −3.21689 | − | 7.04401i | −0.260924 | − | 0.571345i | ||||
\(153\) | −3.84211 | + | 2.46917i | −0.310616 | + | 0.199621i | ||||
\(154\) | 2.04946 | + | 0.601777i | 0.165150 | + | 0.0484925i | ||||
\(155\) | 1.14599 | + | 7.97050i | 0.0920477 | + | 0.640206i | ||||
\(156\) | −0.992121 | + | 2.17244i | −0.0794332 | + | 0.173934i | ||||
\(157\) | −0.586874 | + | 4.08180i | −0.0468376 | + | 0.325763i | 0.952909 | + | 0.303256i | \(0.0980738\pi\) |
−0.999747 | + | 0.0225067i | \(0.992835\pi\) | |||||||
\(158\) | 13.5727 | + | 8.72262i | 1.07978 | + | 0.693934i | ||||
\(159\) | −0.546429 | − | 0.630613i | −0.0433346 | − | 0.0500108i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −2.41443 | − | 3.08053i | −0.190284 | − | 0.242779i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 4.05449 | + | 4.67913i | 0.317572 | + | 0.366498i | 0.891983 | − | 0.452070i | \(-0.149314\pi\) |
−0.574411 | + | 0.818567i | \(0.694769\pi\) | |||||||
\(164\) | 2.11408 | + | 1.35864i | 0.165082 | + | 0.106092i | ||||
\(165\) | 0.372474 | − | 2.59061i | 0.0289970 | − | 0.201679i | ||||
\(166\) | 0.283327 | − | 0.620399i | 0.0219904 | − | 0.0481523i | ||||
\(167\) | −2.99730 | − | 20.8467i | −0.231938 | − | 1.61316i | −0.689705 | − | 0.724091i | \(-0.742260\pi\) |
0.457767 | − | 0.889072i | \(-0.348649\pi\) | |||||||
\(168\) | 0.783059 | + | 0.229927i | 0.0604143 | + | 0.0177392i | ||||
\(169\) | −6.13795 | + | 3.94462i | −0.472150 | + | 0.303432i | ||||
\(170\) | 1.89725 | + | 4.15440i | 0.145513 | + | 0.318628i | ||||
\(171\) | 7.43013 | − | 2.18168i | 0.568196 | − | 0.166837i | ||||
\(172\) | 0.579472 | − | 0.668747i | 0.0441843 | − | 0.0509914i | ||||
\(173\) | −6.18555 | + | 7.13851i | −0.470279 | + | 0.542731i | −0.940489 | − | 0.339824i | \(-0.889633\pi\) |
0.470210 | + | 0.882554i | \(0.344178\pi\) | |||||||
\(174\) | 7.77463 | − | 2.28284i | 0.589393 | − | 0.173061i | ||||
\(175\) | 0.339028 | + | 0.742367i | 0.0256281 | + | 0.0561177i | ||||
\(176\) | −2.20177 | + | 1.41499i | −0.165965 | + | 0.106659i | ||||
\(177\) | 1.85246 | + | 0.543931i | 0.139239 | + | 0.0408844i | ||||
\(178\) | −1.50038 | − | 10.4354i | −0.112458 | − | 0.782163i | ||||
\(179\) | 1.17018 | − | 2.56234i | 0.0874636 | − | 0.191519i | −0.860846 | − | 0.508866i | \(-0.830065\pi\) |
0.948309 | + | 0.317347i | \(0.102792\pi\) | |||||||
\(180\) | 0.142315 | − | 0.989821i | 0.0106075 | − | 0.0737769i | ||||
\(181\) | 19.8838 | + | 12.7785i | 1.47795 | + | 0.949820i | 0.997340 | + | 0.0728840i | \(0.0232203\pi\) |
0.480608 | + | 0.876936i | \(0.340416\pi\) | |||||||
\(182\) | −1.27639 | − | 1.47303i | −0.0946125 | − | 0.109189i | ||||
\(183\) | −5.60515 | −0.414344 | ||||||||
\(184\) | 4.79002 | + | 0.236009i | 0.353125 | + | 0.0173988i | ||||
\(185\) | 10.9975 | 0.808556 | ||||||||
\(186\) | 5.27324 | + | 6.08565i | 0.386653 | + | 0.446221i | ||||
\(187\) | 10.0558 | + | 6.46245i | 0.735351 | + | 0.472581i | ||||
\(188\) | 0.370482 | − | 2.57676i | 0.0270202 | − | 0.187929i | ||||
\(189\) | −0.339028 | + | 0.742367i | −0.0246606 | + | 0.0539992i | ||||
\(190\) | −1.10206 | − | 7.66498i | −0.0799517 | − | 0.556076i | ||||
\(191\) | 8.94892 | + | 2.62764i | 0.647521 | + | 0.190129i | 0.588970 | − | 0.808155i | \(-0.299534\pi\) |
0.0585513 | + | 0.998284i | \(0.481352\pi\) | |||||||
\(192\) | −0.841254 | + | 0.540641i | −0.0607122 | + | 0.0390174i | ||||
\(193\) | −3.94591 | − | 8.64035i | −0.284033 | − | 0.621946i | 0.712809 | − | 0.701359i | \(-0.247423\pi\) |
−0.996842 | + | 0.0794127i | \(0.974696\pi\) | |||||||
\(194\) | −12.8185 | + | 3.76386i | −0.920316 | + | 0.270229i | ||||
\(195\) | −1.56398 | + | 1.80493i | −0.111999 | + | 0.129254i | ||||
\(196\) | 4.14786 | − | 4.78688i | 0.296275 | − | 0.341920i | ||||
\(197\) | −3.93143 | + | 1.15437i | −0.280103 | + | 0.0822456i | −0.418767 | − | 0.908094i | \(-0.637537\pi\) |
0.138664 | + | 0.990340i | \(0.455719\pi\) | |||||||
\(198\) | −1.08725 | − | 2.38074i | −0.0772672 | − | 0.169192i | ||||
\(199\) | −9.30437 | + | 5.97955i | −0.659569 | + | 0.423879i | −0.827152 | − | 0.561979i | \(-0.810040\pi\) |
0.167583 | + | 0.985858i | \(0.446404\pi\) | |||||||
\(200\) | −0.959493 | − | 0.281733i | −0.0678464 | − | 0.0199215i | ||||
\(201\) | −0.677793 | − | 4.71415i | −0.0478078 | − | 0.332511i | ||||
\(202\) | −0.447077 | + | 0.978962i | −0.0314562 | + | 0.0688796i | ||||
\(203\) | −0.941111 | + | 6.54557i | −0.0660531 | + | 0.459409i | ||||
\(204\) | 3.84211 | + | 2.46917i | 0.269002 | + | 0.172877i | ||||
\(205\) | 1.64567 | + | 1.89921i | 0.114939 | + | 0.132647i | ||||
\(206\) | −10.0833 | −0.702539 | ||||||||
\(207\) | −0.915298 | + | 4.70768i | −0.0636176 | + | 0.327206i | ||||
\(208\) | 2.38826 | 0.165596 | ||||||||
\(209\) | −13.2724 | − | 15.3171i | −0.918070 | − | 1.05951i | ||||
\(210\) | 0.686562 | + | 0.441227i | 0.0473773 | + | 0.0304475i | ||||
\(211\) | −1.93113 | + | 13.4313i | −0.132944 | + | 0.924647i | 0.808744 | + | 0.588161i | \(0.200148\pi\) |
−0.941688 | + | 0.336486i | \(0.890761\pi\) | |||||||
\(212\) | −0.346631 | + | 0.759015i | −0.0238067 | + | 0.0521294i | ||||
\(213\) | −0.0293985 | − | 0.204471i | −0.00201435 | − | 0.0140101i | ||||
\(214\) | −15.7457 | − | 4.62335i | −1.07635 | − | 0.316045i | ||||
\(215\) | 0.744407 | − | 0.478401i | 0.0507681 | − | 0.0326267i | ||||
\(216\) | −0.415415 | − | 0.909632i | −0.0282654 | − | 0.0618926i | ||||
\(217\) | −6.30556 | + | 1.85148i | −0.428049 | + | 0.125687i | ||||
\(218\) | −6.41990 | + | 7.40896i | −0.434810 | + | 0.501798i | ||||
\(219\) | −7.12303 | + | 8.22041i | −0.481330 | + | 0.555484i | ||||
\(220\) | −2.51123 | + | 0.737365i | −0.169307 | + | 0.0497131i | ||||
\(221\) | −4.53114 | − | 9.92181i | −0.304797 | − | 0.667413i | ||||
\(222\) | 9.25173 | − | 5.94572i | 0.620935 | − | 0.399051i | ||||
\(223\) | −8.62122 | − | 2.53142i | −0.577320 | − | 0.169516i | −0.0199793 | − | 0.999800i | \(-0.506360\pi\) |
−0.557341 | + | 0.830284i | \(0.688178\pi\) | |||||||
\(224\) | −0.116146 | − | 0.807811i | −0.00776031 | − | 0.0539741i | ||||
\(225\) | 0.415415 | − | 0.909632i | 0.0276943 | − | 0.0606421i | ||||
\(226\) | 1.38747 | − | 9.65009i | 0.0922933 | − | 0.641914i | ||||
\(227\) | 7.17000 | + | 4.60788i | 0.475890 | + | 0.305836i | 0.756509 | − | 0.653983i | \(-0.226903\pi\) |
−0.280619 | + | 0.959819i | \(0.590540\pi\) | |||||||
\(228\) | −5.07111 | − | 5.85238i | −0.335843 | − | 0.387583i | ||||
\(229\) | −24.6128 | −1.62646 | −0.813230 | − | 0.581942i | \(-0.802293\pi\) | ||||
−0.813230 | + | 0.581942i | \(0.802293\pi\) | |||||||
\(230\) | 4.52950 | + | 1.57595i | 0.298666 | + | 0.103915i | ||||
\(231\) | 2.13599 | 0.140538 | ||||||||
\(232\) | −5.30624 | − | 6.12373i | −0.348372 | − | 0.402042i | ||||
\(233\) | 4.06547 | + | 2.61272i | 0.266338 | + | 0.171165i | 0.666993 | − | 0.745064i | \(-0.267581\pi\) |
−0.400655 | + | 0.916229i | \(0.631217\pi\) | |||||||
\(234\) | −0.339885 | + | 2.36395i | −0.0222190 | + | 0.154537i | ||||
\(235\) | 1.08143 | − | 2.36801i | 0.0705448 | − | 0.154472i | ||||
\(236\) | −0.274762 | − | 1.91101i | −0.0178855 | − | 0.124396i | ||||
\(237\) | 15.4803 | + | 4.54543i | 1.00555 | + | 0.295258i | ||||
\(238\) | −3.13561 | + | 2.01514i | −0.203252 | + | 0.130622i | ||||
\(239\) | −4.04871 | − | 8.86543i | −0.261889 | − | 0.573457i | 0.732315 | − | 0.680966i | \(-0.238440\pi\) |
−0.994204 | + | 0.107509i | \(0.965713\pi\) | |||||||
\(240\) | −0.959493 | + | 0.281733i | −0.0619350 | + | 0.0181858i | ||||
\(241\) | −6.60918 | + | 7.62740i | −0.425735 | + | 0.491324i | −0.927575 | − | 0.373636i | \(-0.878111\pi\) |
0.501841 | + | 0.864960i | \(0.332656\pi\) | |||||||
\(242\) | 2.71767 | − | 3.13635i | 0.174698 | − | 0.201613i | ||||
\(243\) | 0.959493 | − | 0.281733i | 0.0615515 | − | 0.0180732i | ||||
\(244\) | 2.32846 | + | 5.09862i | 0.149065 | + | 0.326406i | ||||
\(245\) | 5.32846 | − | 3.42439i | 0.340423 | − | 0.218776i | ||||
\(246\) | 2.41122 | + | 0.707998i | 0.153734 | + | 0.0451403i | ||||
\(247\) | 2.63201 | + | 18.3060i | 0.167471 | + | 1.16478i | ||||
\(248\) | 3.34511 | − | 7.32478i | 0.212415 | − | 0.465124i | ||||
\(249\) | 0.0970634 | − | 0.675091i | 0.00615114 | − | 0.0427821i | ||||
\(250\) | −0.841254 | − | 0.540641i | −0.0532055 | − | 0.0341931i | ||||
\(251\) | −14.0280 | − | 16.1892i | −0.885439 | − | 1.02185i | −0.999597 | − | 0.0283882i | \(-0.990963\pi\) |
0.114158 | − | 0.993463i | \(-0.463583\pi\) | |||||||
\(252\) | 0.816118 | 0.0514106 | ||||||||
\(253\) | 12.2029 | − | 2.93932i | 0.767189 | − | 0.184793i | ||||
\(254\) | 20.6215 | 1.29391 | ||||||||
\(255\) | 2.99083 | + | 3.45160i | 0.187293 | + | 0.216148i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | −2.19203 | + | 15.2459i | −0.136735 | + | 0.951013i | 0.799757 | + | 0.600324i | \(0.204962\pi\) |
−0.936492 | + | 0.350689i | \(0.885947\pi\) | |||||||
\(258\) | 0.367592 | − | 0.804914i | 0.0228853 | − | 0.0501117i | ||||
\(259\) | 1.27732 | + | 8.88394i | 0.0793686 | + | 0.552021i | ||||
\(260\) | 2.29152 | + | 0.672852i | 0.142114 | + | 0.0417285i | ||||
\(261\) | 6.81655 | − | 4.38073i | 0.421934 | − | 0.271161i | ||||
\(262\) | −5.83324 | − | 12.7730i | −0.360379 | − | 0.789120i | ||||
\(263\) | −6.73400 | + | 1.97728i | −0.415236 | + | 0.121924i | −0.482676 | − | 0.875799i | \(-0.660335\pi\) |
0.0674399 | + | 0.997723i | \(0.478517\pi\) | |||||||
\(264\) | −1.71394 | + | 1.97799i | −0.105485 | + | 0.121737i | ||||
\(265\) | −0.546429 | + | 0.630613i | −0.0335669 | + | 0.0387382i | ||||
\(266\) | 6.06386 | − | 1.78051i | 0.371799 | − | 0.109170i | ||||
\(267\) | −4.37958 | − | 9.58995i | −0.268026 | − | 0.586896i | ||||
\(268\) | −4.00658 | + | 2.57487i | −0.244741 | + | 0.157285i | ||||
\(269\) | 17.3480 | + | 5.09382i | 1.05772 | + | 0.310576i | 0.763934 | − | 0.645294i | \(-0.223265\pi\) |
0.293790 | + | 0.955870i | \(0.405083\pi\) | |||||||
\(270\) | −0.142315 | − | 0.989821i | −0.00866101 | − | 0.0602386i | ||||
\(271\) | −2.75426 | + | 6.03099i | −0.167309 | + | 0.366356i | −0.974652 | − | 0.223727i | \(-0.928178\pi\) |
0.807343 | + | 0.590083i | \(0.200905\pi\) | |||||||
\(272\) | 0.649970 | − | 4.52064i | 0.0394102 | − | 0.274104i | ||||
\(273\) | −1.63969 | − | 1.05377i | −0.0992386 | − | 0.0637768i | ||||
\(274\) | 7.70536 | + | 8.89246i | 0.465498 | + | 0.537213i | ||||
\(275\) | −2.61725 | −0.157826 | ||||||||
\(276\) | 4.66248 | − | 1.12306i | 0.280648 | − | 0.0676000i | ||||
\(277\) | −11.5655 | −0.694904 | −0.347452 | − | 0.937698i | \(-0.612953\pi\) | ||||
−0.347452 | + | 0.937698i | \(0.612953\pi\) | |||||||
\(278\) | −9.75392 | − | 11.2566i | −0.585001 | − | 0.675127i | ||||
\(279\) | 6.77416 | + | 4.35349i | 0.405559 | + | 0.260637i | ||||
\(280\) | 0.116146 | − | 0.807811i | 0.00694103 | − | 0.0482759i | ||||
\(281\) | 3.73018 | − | 8.16795i | 0.222524 | − | 0.487259i | −0.765137 | − | 0.643868i | \(-0.777329\pi\) |
0.987661 | + | 0.156608i | \(0.0500560\pi\) | |||||||
\(282\) | −0.370482 | − | 2.57676i | −0.0220619 | − | 0.153444i | ||||
\(283\) | −25.8712 | − | 7.59646i | −1.53788 | − | 0.451563i | −0.600430 | − | 0.799677i | \(-0.705004\pi\) |
−0.937452 | + | 0.348114i | \(0.886822\pi\) | |||||||
\(284\) | −0.173781 | + | 0.111682i | −0.0103120 | + | 0.00662713i | ||||
\(285\) | −3.21689 | − | 7.04401i | −0.190552 | − | 0.417251i | ||||
\(286\) | 5.99749 | − | 1.76102i | 0.354639 | − | 0.104131i | ||||
\(287\) | −1.34306 | + | 1.54998i | −0.0792786 | + | 0.0914923i | ||||
\(288\) | −0.654861 | + | 0.755750i | −0.0385880 | + | 0.0445330i | ||||
\(289\) | −3.70233 | + | 1.08710i | −0.217784 | + | 0.0639473i | ||||
\(290\) | −3.36605 | − | 7.37062i | −0.197661 | − | 0.432817i | ||||
\(291\) | −11.2389 | + | 7.22279i | −0.658834 | + | 0.423407i | ||||
\(292\) | 10.4366 | + | 3.06445i | 0.610754 | + | 0.179333i | ||||
\(293\) | −3.47736 | − | 24.1856i | −0.203149 | − | 1.41294i | −0.794864 | − | 0.606788i | \(-0.792458\pi\) |
0.591714 | − | 0.806148i | \(-0.298451\pi\) | |||||||
\(294\) | 2.63122 | − | 5.76157i | 0.153456 | − | 0.336021i | ||||
\(295\) | 0.274762 | − | 1.91101i | 0.0159973 | − | 0.111263i | ||||
\(296\) | −9.25173 | − | 5.94572i | −0.537746 | − | 0.345588i | ||||
\(297\) | −1.71394 | − | 1.97799i | −0.0994526 | − | 0.114774i | ||||
\(298\) | 19.0560 | 1.10388 | ||||||||
\(299\) | −10.8176 | − | 3.76379i | −0.625600 | − | 0.217666i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 0.472917 | + | 0.545776i | 0.0272585 | + | 0.0314580i | ||||
\(302\) | −18.6416 | − | 11.9803i | −1.07271 | − | 0.689386i | ||||
\(303\) | −0.153162 | + | 1.06526i | −0.00879892 | + | 0.0611978i | ||||
\(304\) | −3.21689 | + | 7.04401i | −0.184501 | + | 0.404002i | ||||
\(305\) | 0.797696 | + | 5.54809i | 0.0456759 | + | 0.317683i | ||||
\(306\) | 4.38212 | + | 1.28671i | 0.250509 | + | 0.0735562i | ||||
\(307\) | 27.1963 | − | 17.4780i | 1.55218 | − | 0.997524i | 0.567452 | − | 0.823406i | \(-0.307929\pi\) |
0.984725 | − | 0.174117i | \(-0.0557072\pi\) | |||||||
\(308\) | −0.887320 | − | 1.94296i | −0.0505598 | − | 0.110710i | ||||
\(309\) | −9.67488 | + | 2.84080i | −0.550385 | + | 0.161608i | ||||
\(310\) | 5.27324 | − | 6.08565i | 0.299500 | − | 0.345641i | ||||
\(311\) | −10.0396 | + | 11.5863i | −0.569293 | + | 0.656999i | −0.965268 | − | 0.261263i | \(-0.915861\pi\) |
0.395975 | + | 0.918261i | \(0.370407\pi\) | |||||||
\(312\) | 2.29152 | − | 0.672852i | 0.129732 | − | 0.0380927i | ||||
\(313\) | −8.96140 | − | 19.6227i | −0.506529 | − | 1.10914i | −0.974292 | − | 0.225289i | \(-0.927667\pi\) |
0.467763 | − | 0.883854i | \(-0.345060\pi\) | |||||||
\(314\) | 3.46914 | − | 2.22948i | 0.195775 | − | 0.125817i | ||||
\(315\) | 0.783059 | + | 0.229927i | 0.0441204 | + | 0.0129549i | ||||
\(316\) | −2.29609 | − | 15.9696i | −0.129165 | − | 0.898362i | ||||
\(317\) | −11.9704 | + | 26.2114i | −0.672322 | + | 1.47218i | 0.198256 | + | 0.980150i | \(0.436472\pi\) |
−0.870578 | + | 0.492030i | \(0.836255\pi\) | |||||||
\(318\) | −0.118750 | + | 0.825927i | −0.00665919 | + | 0.0463157i | ||||
\(319\) | −17.8406 | − | 11.4655i | −0.998884 | − | 0.641944i | ||||
\(320\) | 0.654861 | + | 0.755750i | 0.0366078 | + | 0.0422477i | ||||
\(321\) | −16.4104 | −0.915940 | ||||||||
\(322\) | −0.746991 | + | 3.84202i | −0.0416282 | + | 0.214107i | ||||
\(323\) | 35.3669 | 1.96787 | ||||||||
\(324\) | −0.654861 | − | 0.755750i | −0.0363812 | − | 0.0419861i | ||||
\(325\) | 2.00914 | + | 1.29119i | 0.111447 | + | 0.0716225i | ||||
\(326\) | 0.881125 | − | 6.12836i | 0.0488010 | − | 0.339418i | ||||
\(327\) | −4.07250 | + | 8.91753i | −0.225210 | + | 0.493141i | ||||
\(328\) | −0.357639 | − | 2.48744i | −0.0197473 | − | 0.137346i | ||||
\(329\) | 2.03850 | + | 0.598559i | 0.112386 | + | 0.0329996i | ||||
\(330\) | −2.20177 | + | 1.41499i | −0.121204 | + | 0.0778928i | ||||
\(331\) | 11.4691 | + | 25.1138i | 0.630398 | + | 1.38038i | 0.907709 | + | 0.419599i | \(0.137829\pi\) |
−0.277311 | + | 0.960780i | \(0.589443\pi\) | |||||||
\(332\) | −0.654406 | + | 0.192151i | −0.0359152 | + | 0.0105456i | ||||
\(333\) | 7.20186 | − | 8.31139i | 0.394660 | − | 0.455461i | ||||
\(334\) | −13.7920 | + | 15.9169i | −0.754667 | + | 0.870932i | ||||
\(335\) | −4.56971 | + | 1.34179i | −0.249670 | + | 0.0733097i | ||||
\(336\) | −0.339028 | − | 0.742367i | −0.0184955 | − | 0.0404994i | ||||
\(337\) | −14.0192 | + | 9.00958i | −0.763674 | + | 0.490783i | −0.863579 | − | 0.504214i | \(-0.831782\pi\) |
0.0999053 | + | 0.994997i | \(0.468146\pi\) | |||||||
\(338\) | 7.00065 | + | 2.05558i | 0.380785 | + | 0.111809i | ||||
\(339\) | −1.38747 | − | 9.65009i | −0.0753572 | − | 0.524121i | ||||
\(340\) | 1.89725 | − | 4.15440i | 0.102893 | − | 0.225304i | ||||
\(341\) | 2.99933 | − | 20.8608i | 0.162423 | − | 1.12968i | ||||
\(342\) | −6.51450 | − | 4.18662i | −0.352264 | − | 0.226386i | ||||
\(343\) | 7.12624 | + | 8.22412i | 0.384781 | + | 0.444061i | ||||
\(344\) | −0.884878 | −0.0477094 | ||||||||
\(345\) | 4.79002 | + | 0.236009i | 0.257886 | + | 0.0127063i | ||||
\(346\) | 9.44560 | 0.507799 | ||||||||
\(347\) | −5.26549 | − | 6.07670i | −0.282667 | − | 0.326215i | 0.596605 | − | 0.802535i | \(-0.296516\pi\) |
−0.879272 | + | 0.476320i | \(0.841970\pi\) | |||||||
\(348\) | −6.81655 | − | 4.38073i | −0.365406 | − | 0.234832i | ||||
\(349\) | 4.01725 | − | 27.9406i | 0.215039 | − | 1.49563i | −0.540958 | − | 0.841050i | \(-0.681938\pi\) |
0.755996 | − | 0.654576i | \(-0.227153\pi\) | |||||||
\(350\) | 0.339028 | − | 0.742367i | 0.0181218 | − | 0.0396812i | ||||
\(351\) | 0.339885 | + | 2.36395i | 0.0181417 | + | 0.126179i | ||||
\(352\) | 2.51123 | + | 0.737365i | 0.133849 | + | 0.0393017i | ||||
\(353\) | 22.0142 | − | 14.1477i | 1.17170 | − | 0.753004i | 0.197855 | − | 0.980231i | \(-0.436603\pi\) |
0.973842 | + | 0.227228i | \(0.0729662\pi\) | |||||||
\(354\) | −0.802027 | − | 1.75619i | −0.0426272 | − | 0.0933406i | ||||
\(355\) | −0.198206 | + | 0.0581986i | −0.0105197 | + | 0.00308886i | ||||
\(356\) | −6.90398 | + | 7.96762i | −0.365910 | + | 0.422283i | ||||
\(357\) | −2.44087 | + | 2.81691i | −0.129185 | + | 0.149087i | ||||
\(358\) | −2.70280 | + | 0.793613i | −0.142847 | + | 0.0419437i | ||||
\(359\) | 2.51179 | + | 5.50005i | 0.132567 | + | 0.290282i | 0.964262 | − | 0.264952i | \(-0.0853561\pi\) |
−0.831694 | + | 0.555234i | \(0.812629\pi\) | |||||||
\(360\) | −0.841254 | + | 0.540641i | −0.0443380 | + | 0.0284943i | ||||
\(361\) | −39.3071 | − | 11.5416i | −2.06879 | − | 0.607453i | ||||
\(362\) | −3.36374 | − | 23.3953i | −0.176794 | − | 1.22963i | ||||
\(363\) | 1.72397 | − | 3.77497i | 0.0904849 | − | 0.198134i | ||||
\(364\) | −0.277386 | + | 1.92927i | −0.0145390 | + | 0.101121i | ||||
\(365\) | 9.15046 | + | 5.88064i | 0.478957 | + | 0.307807i | ||||
\(366\) | 3.67059 | + | 4.23609i | 0.191865 | + | 0.221424i | ||||
\(367\) | 8.51586 | 0.444524 | 0.222262 | − | 0.974987i | \(-0.428656\pi\) | ||||
0.222262 | + | 0.974987i | \(0.428656\pi\) | |||||||
\(368\) | −2.95843 | − | 3.77461i | −0.154219 | − | 0.196765i | ||||
\(369\) | 2.51301 | 0.130822 | ||||||||
\(370\) | −7.20186 | − | 8.31139i | −0.374407 | − | 0.432089i | ||||
\(371\) | −0.572881 | − | 0.368168i | −0.0297425 | − | 0.0191143i | ||||
\(372\) | 1.14599 | − | 7.97050i | 0.0594166 | − | 0.413251i | ||||
\(373\) | −2.92770 | + | 6.41076i | −0.151590 | + | 0.331937i | −0.970158 | − | 0.242473i | \(-0.922041\pi\) |
0.818568 | + | 0.574410i | \(0.194769\pi\) | |||||||
\(374\) | −1.70113 | − | 11.8317i | −0.0879636 | − | 0.611800i | ||||
\(375\) | −0.959493 | − | 0.281733i | −0.0495480 | − | 0.0145486i | ||||
\(376\) | −2.19000 | + | 1.40743i | −0.112941 | + | 0.0725825i | ||||
\(377\) | 8.03901 | + | 17.6030i | 0.414030 | + | 0.906599i | ||||
\(378\) | 0.783059 | − | 0.229927i | 0.0402762 | − | 0.0118262i | ||||
\(379\) | 6.36904 | − | 7.35027i | 0.327156 | − | 0.377558i | −0.568214 | − | 0.822881i | \(-0.692366\pi\) |
0.895370 | + | 0.445323i | \(0.146911\pi\) | |||||||
\(380\) | −5.07111 | + | 5.85238i | −0.260143 | + | 0.300221i | ||||
\(381\) | 19.7862 | − | 5.80974i | 1.01368 | − | 0.297642i | ||||
\(382\) | −3.87446 | − | 8.48388i | −0.198235 | − | 0.434073i | ||||
\(383\) | −7.15086 | + | 4.59558i | −0.365392 | + | 0.234823i | −0.710434 | − | 0.703764i | \(-0.751501\pi\) |
0.345042 | + | 0.938587i | \(0.387865\pi\) | |||||||
\(384\) | 0.959493 | + | 0.281733i | 0.0489639 | + | 0.0143771i | ||||
\(385\) | −0.303982 | − | 2.11424i | −0.0154924 | − | 0.107752i | ||||
\(386\) | −3.94591 | + | 8.64035i | −0.200842 | + | 0.439782i | ||||
\(387\) | 0.125931 | − | 0.875872i | 0.00640145 | − | 0.0445231i | ||||
\(388\) | 11.2389 | + | 7.22279i | 0.570567 | + | 0.366681i | ||||
\(389\) | −8.64275 | − | 9.97427i | −0.438205 | − | 0.505715i | 0.493092 | − | 0.869977i | \(-0.335867\pi\) |
−0.931297 | + | 0.364262i | \(0.881321\pi\) | |||||||
\(390\) | 2.38826 | 0.120934 | ||||||||
\(391\) | −10.0684 | + | 19.4519i | −0.509179 | + | 0.983725i | ||||
\(392\) | −6.33395 | −0.319913 | ||||||||
\(393\) | −9.19553 | − | 10.6122i | −0.463853 | − | 0.535315i | ||||
\(394\) | 3.44696 | + | 2.21522i | 0.173655 | + | 0.111601i | ||||
\(395\) | 2.29609 | − | 15.9696i | 0.115529 | − | 0.803519i | ||||
\(396\) | −1.08725 | + | 2.38074i | −0.0546362 | + | 0.119636i | ||||
\(397\) | 0.456657 | + | 3.17612i | 0.0229189 | + | 0.159405i | 0.998067 | − | 0.0621504i | \(-0.0197958\pi\) |
−0.975148 | + | 0.221555i | \(0.928887\pi\) | |||||||
\(398\) | 10.6121 | + | 3.11600i | 0.531937 | + | 0.156191i | ||||
\(399\) | 5.31660 | − | 3.41677i | 0.266163 | − | 0.171053i | ||||
\(400\) | 0.415415 | + | 0.909632i | 0.0207708 | + | 0.0454816i | ||||
\(401\) | −15.3768 | + | 4.51505i | −0.767883 | + | 0.225471i | −0.642135 | − | 0.766591i | \(-0.721951\pi\) |
−0.125748 | + | 0.992062i | \(0.540133\pi\) | |||||||
\(402\) | −3.11886 | + | 3.59935i | −0.155555 | + | 0.179519i | ||||
\(403\) | −12.5939 | + | 14.5341i | −0.627346 | + | 0.723996i | ||||
\(404\) | 1.03262 | − | 0.303206i | 0.0513750 | − | 0.0150850i | ||||
\(405\) | −0.415415 | − | 0.909632i | −0.0206421 | − | 0.0452000i | ||||
\(406\) | 5.56311 | − | 3.57519i | 0.276093 | − | 0.177434i | ||||
\(407\) | −27.6174 | − | 8.10921i | −1.36894 | − | 0.401958i | ||||
\(408\) | −0.649970 | − | 4.52064i | −0.0321783 | − | 0.223805i | ||||
\(409\) | −6.32191 | + | 13.8430i | −0.312598 | + | 0.684495i | −0.999090 | − | 0.0426425i | \(-0.986422\pi\) |
0.686492 | + | 0.727137i | \(0.259150\pi\) | |||||||
\(410\) | 0.357639 | − | 2.48744i | 0.0176625 | − | 0.122846i | ||||
\(411\) | 9.89854 | + | 6.36140i | 0.488259 | + | 0.313785i | ||||
\(412\) | 6.60318 | + | 7.62047i | 0.325315 | + | 0.375434i | ||||
\(413\) | 1.57565 | 0.0775326 | ||||||||
\(414\) | 4.15722 | − | 2.39114i | 0.204316 | − | 0.117518i | ||||
\(415\) | −0.682033 | −0.0334797 | ||||||||
\(416\) | −1.56398 | − | 1.80493i | −0.0766804 | − | 0.0884939i | ||||
\(417\) | −12.5302 | − | 8.05265i | −0.613605 | − | 0.394340i | ||||
\(418\) | −2.88436 | + | 20.0612i | −0.141079 | + | 0.981225i | ||||
\(419\) | 11.5379 | − | 25.2644i | 0.563662 | − | 1.23425i | −0.386443 | − | 0.922313i | \(-0.626296\pi\) |
0.950104 | − | 0.311933i | \(-0.100976\pi\) | |||||||
\(420\) | −0.116146 | − | 0.807811i | −0.00566733 | − | 0.0394171i | ||||
\(421\) | −10.2935 | − | 3.02246i | −0.501676 | − | 0.147305i | 0.0210966 | − | 0.999777i | \(-0.493284\pi\) |
−0.522773 | + | 0.852472i | \(0.675102\pi\) | |||||||
\(422\) | 11.4153 | − | 7.33617i | 0.555688 | − | 0.357119i | ||||
\(423\) | −1.08143 | − | 2.36801i | −0.0525810 | − | 0.115136i | ||||
\(424\) | 0.800620 | − | 0.235083i | 0.0388816 | − | 0.0114167i | ||||
\(425\) | 2.99083 | − | 3.45160i | 0.145077 | − | 0.167427i | ||||
\(426\) | −0.135277 | + | 0.156118i | −0.00655420 | + | 0.00756395i | ||||
\(427\) | −4.38916 | + | 1.28877i | −0.212406 | + | 0.0623682i | ||||
\(428\) | 6.81713 | + | 14.9274i | 0.329518 | + | 0.721545i | ||||
\(429\) | 5.25841 | − | 3.37938i | 0.253879 | − | 0.163158i | ||||
\(430\) | −0.849035 | − | 0.249299i | −0.0409441 | − | 0.0120223i | ||||
\(431\) | −3.72449 | − | 25.9044i | −0.179402 | − | 1.24777i | −0.858150 | − | 0.513399i | \(-0.828386\pi\) |
0.678748 | − | 0.734372i | \(-0.262523\pi\) | |||||||
\(432\) | −0.415415 | + | 0.909632i | −0.0199867 | + | 0.0437647i | ||||
\(433\) | −0.998097 | + | 6.94192i | −0.0479655 | + | 0.333607i | 0.951683 | + | 0.307083i | \(0.0993530\pi\) |
−0.999648 | + | 0.0265241i | \(0.991556\pi\) | |||||||
\(434\) | 5.52851 | + | 3.55296i | 0.265377 | + | 0.170548i | ||||
\(435\) | −5.30624 | − | 6.12373i | −0.254415 | − | 0.293610i | ||||
\(436\) | 9.80345 | 0.469500 | ||||||||
\(437\) | 25.6720 | − | 26.8362i | 1.22806 | − | 1.28375i | ||||
\(438\) | 10.8772 | 0.519731 | ||||||||
\(439\) | 13.1793 | + | 15.2098i | 0.629016 | + | 0.725923i | 0.977393 | − | 0.211431i | \(-0.0678125\pi\) |
−0.348377 | + | 0.937355i | \(0.613267\pi\) | |||||||
\(440\) | 2.20177 | + | 1.41499i | 0.104965 | + | 0.0674572i | ||||
\(441\) | 0.901415 | − | 6.26948i | 0.0429245 | − | 0.298547i | ||||
\(442\) | −4.53114 | + | 9.92181i | −0.215524 | + | 0.471932i | ||||
\(443\) | 0.869276 | + | 6.04595i | 0.0413006 | + | 0.287252i | 0.999996 | + | 0.00281722i | \(0.000896751\pi\) |
−0.958695 | + | 0.284435i | \(0.908194\pi\) | |||||||
\(444\) | −10.5521 | − | 3.09837i | −0.500779 | − | 0.147042i | ||||
\(445\) | −8.86906 | + | 5.69980i | −0.420434 | + | 0.270196i | ||||
\(446\) | 3.73258 | + | 8.17321i | 0.176743 | + | 0.387013i | ||||
\(447\) | 18.2841 | − | 5.36870i | 0.864809 | − | 0.253931i | ||||
\(448\) | −0.534443 | + | 0.616781i | −0.0252501 | + | 0.0291401i | ||||
\(449\) | −2.95167 | + | 3.40641i | −0.139298 | + | 0.160759i | −0.821112 | − | 0.570767i | \(-0.806646\pi\) |
0.681814 | + | 0.731526i | \(0.261191\pi\) | |||||||
\(450\) | −0.959493 | + | 0.281733i | −0.0452309 | + | 0.0132810i | ||||
\(451\) | −2.73226 | − | 5.98282i | −0.128657 | − | 0.281720i | ||||
\(452\) | −8.20165 | + | 5.27088i | −0.385773 | + | 0.247921i | ||||
\(453\) | −21.2618 | − | 6.24301i | −0.998964 | − | 0.293322i | ||||
\(454\) | −1.21295 | − | 8.43624i | −0.0569265 | − | 0.395933i | ||||
\(455\) | −0.809687 | + | 1.77297i | −0.0379587 | + | 0.0831180i | ||||
\(456\) | −1.10206 | + | 7.66498i | −0.0516086 | + | 0.358946i | ||||
\(457\) | 0.968615 | + | 0.622491i | 0.0453099 | + | 0.0291189i | 0.563100 | − | 0.826389i | \(-0.309609\pi\) |
−0.517790 | + | 0.855508i | \(0.673245\pi\) | |||||||
\(458\) | 16.1180 | + | 18.6011i | 0.753143 | + | 0.869173i | ||||
\(459\) | 4.56713 | 0.213175 | ||||||||
\(460\) | −1.77516 | − | 4.45520i | −0.0827675 | − | 0.207725i | ||||
\(461\) | −31.9504 | −1.48808 | −0.744039 | − | 0.668136i | \(-0.767093\pi\) | ||||
−0.744039 | + | 0.668136i | \(0.767093\pi\) | |||||||
\(462\) | −1.39877 | − | 1.61427i | −0.0650768 | − | 0.0751026i | ||||
\(463\) | −1.62649 | − | 1.04528i | −0.0755893 | − | 0.0485783i | 0.502300 | − | 0.864693i | \(-0.332487\pi\) |
−0.577890 | + | 0.816115i | \(0.696124\pi\) | |||||||
\(464\) | −1.15316 | + | 8.02038i | −0.0535339 | + | 0.372337i | ||||
\(465\) | 3.34511 | − | 7.32478i | 0.155126 | − | 0.339678i | ||||
\(466\) | −0.687755 | − | 4.78344i | −0.0318596 | − | 0.221589i | ||||
\(467\) | −3.41514 | − | 1.00277i | −0.158034 | − | 0.0464029i | 0.201759 | − | 0.979435i | \(-0.435334\pi\) |
−0.359792 | + | 0.933032i | \(0.617152\pi\) | |||||||
\(468\) | 2.00914 | − | 1.29119i | 0.0928723 | − | 0.0596854i | ||||
\(469\) | −1.61466 | − | 3.53562i | −0.0745582 | − | 0.163260i | ||||
\(470\) | −2.49781 | + | 0.733422i | −0.115215 | + | 0.0338302i | ||||
\(471\) | 2.70050 | − | 3.11654i | 0.124432 | − | 0.143603i | ||||
\(472\) | −1.26432 | + | 1.45910i | −0.0581949 | + | 0.0671605i | ||||
\(473\) | −2.22214 | + | 0.652478i | −0.102174 | + | 0.0300010i | ||||
\(474\) | −6.70224 | − | 14.6759i | −0.307844 | − | 0.674085i | ||||
\(475\) | −6.51450 | + | 4.18662i | −0.298906 | + | 0.192095i | ||||
\(476\) | 3.57633 | + | 1.05011i | 0.163921 | + | 0.0481315i | ||||
\(477\) | 0.118750 | + | 0.825927i | 0.00543721 | + | 0.0378166i | ||||
\(478\) | −4.04871 | + | 8.86543i | −0.185184 | + | 0.405495i | ||||
\(479\) | 1.01598 | − | 7.06630i | 0.0464213 | − | 0.322867i | −0.953358 | − | 0.301843i | \(-0.902398\pi\) |
0.999779 | − | 0.0210243i | \(-0.00669274\pi\) | |||||||
\(480\) | 0.841254 | + | 0.540641i | 0.0383978 | + | 0.0246768i | ||||
\(481\) | 17.1999 | + | 19.8498i | 0.784250 | + | 0.905073i | ||||
\(482\) | 10.0925 | 0.459701 | ||||||||
\(483\) | 0.365689 | + | 3.89684i | 0.0166394 | + | 0.177312i | ||||
\(484\) | −4.14999 | −0.188636 | ||||||||
\(485\) | 8.74873 | + | 10.0966i | 0.397259 | + | 0.458462i | ||||
\(486\) | −0.841254 | − | 0.540641i | −0.0381600 | − | 0.0245240i | ||||
\(487\) | 3.85456 | − | 26.8090i | 0.174667 | − | 1.21483i | −0.694198 | − | 0.719784i | \(-0.744241\pi\) |
0.868865 | − | 0.495049i | \(-0.164850\pi\) | |||||||
\(488\) | 2.32846 | − | 5.09862i | 0.105405 | − | 0.230804i | ||||
\(489\) | −0.881125 | − | 6.12836i | −0.0398458 | − | 0.277134i | ||||
\(490\) | −6.07738 | − | 1.78448i | −0.274548 | − | 0.0806146i | ||||
\(491\) | 24.1905 | − | 15.5463i | 1.09170 | − | 0.701594i | 0.134470 | − | 0.990918i | \(-0.457067\pi\) |
0.957231 | + | 0.289323i | \(0.0934303\pi\) | |||||||
\(492\) | −1.04394 | − | 2.28592i | −0.0470646 | − | 0.103057i | ||||
\(493\) | 35.5077 | − | 10.4260i | 1.59919 | − | 0.469564i | ||||
\(494\) | 12.1112 | − | 13.9770i | 0.544907 | − | 0.628856i | ||||
\(495\) | −1.71394 | + | 1.97799i | −0.0770357 | + | 0.0889039i | ||||
\(496\) | −7.72628 | + | 2.26864i | −0.346920 | + | 0.101865i | ||||
\(497\) | −0.0700343 | − | 0.153354i | −0.00314147 | − | 0.00687885i | ||||
\(498\) | −0.573763 | + | 0.368735i | −0.0257109 | + | 0.0165234i | ||||
\(499\) | 12.7909 | + | 3.75573i | 0.572597 | + | 0.168130i | 0.555197 | − | 0.831719i | \(-0.312643\pi\) |
0.0174003 | + | 0.999849i | \(0.494461\pi\) | |||||||
\(500\) | 0.142315 | + | 0.989821i | 0.00636451 | + | 0.0442662i | ||||
\(501\) | −8.74907 | + | 19.1578i | −0.390879 | + | 0.855907i | ||||
\(502\) | −3.04857 | + | 21.2033i | −0.136064 | + | 0.946349i | ||||
\(503\) | 19.1789 | + | 12.3255i | 0.855144 | + | 0.549568i | 0.893175 | − | 0.449709i | \(-0.148472\pi\) |
−0.0380312 | + | 0.999277i | \(0.512109\pi\) | |||||||
\(504\) | −0.534443 | − | 0.616781i | −0.0238060 | − | 0.0274736i | ||||
\(505\) | 1.07622 | 0.0478911 | ||||||||
\(506\) | −10.2126 | − | 7.29749i | −0.454005 | − | 0.324413i | ||||
\(507\) | 7.29620 | 0.324035 | ||||||||
\(508\) | −13.5042 | − | 15.5847i | −0.599152 | − | 0.691458i | ||||
\(509\) | 10.2266 | + | 6.57223i | 0.453286 | + | 0.291309i | 0.747294 | − | 0.664494i | \(-0.231353\pi\) |
−0.294008 | + | 0.955803i | \(0.594989\pi\) | |||||||
\(510\) | 0.649970 | − | 4.52064i | 0.0287811 | − | 0.200177i | ||||
\(511\) | −3.68766 | + | 8.07485i | −0.163132 | + | 0.357210i | ||||
\(512\) | −0.142315 | − | 0.989821i | −0.00628949 | − | 0.0437443i | ||||
\(513\) | −7.43013 | − | 2.18168i | −0.328048 | − | 0.0963236i | ||||
\(514\) | 12.9576 | − | 8.32732i | 0.571533 | − | 0.367302i | ||||
\(515\) | 4.18877 | + | 9.17212i | 0.184579 | + | 0.404172i | ||||
\(516\) | −0.849035 | + | 0.249299i | −0.0373767 | + | 0.0109748i | ||||
\(517\) | −4.46181 | + | 5.14921i | −0.196230 | + | 0.226462i | ||||
\(518\) | 5.87757 | − | 6.78307i | 0.258245 | − | 0.298031i | ||||
\(519\) | 9.06299 | − | 2.66113i | 0.397821 | − | 0.116811i | ||||
\(520\) | −0.992121 | − | 2.17244i | −0.0435074 | − | 0.0952678i | ||||
\(521\) | −3.35044 | + | 2.15320i | −0.146785 | + | 0.0943333i | −0.611972 | − | 0.790879i | \(-0.709624\pi\) |
0.465187 | + | 0.885213i | \(0.345987\pi\) | |||||||
\(522\) | −7.77463 | − | 2.28284i | −0.340286 | − | 0.0999171i | ||||
\(523\) | −2.26293 | − | 15.7390i | −0.0989511 | − | 0.688220i | −0.977557 | − | 0.210672i | \(-0.932435\pi\) |
0.878606 | − | 0.477548i | \(-0.158474\pi\) | |||||||
\(524\) | −5.83324 | + | 12.7730i | −0.254826 | + | 0.557992i | ||||
\(525\) | 0.116146 | − | 0.807811i | 0.00506901 | − | 0.0352558i | ||||
\(526\) | 5.90416 | + | 3.79437i | 0.257433 | + | 0.165442i | ||||
\(527\) | 24.0836 | + | 27.7939i | 1.04910 | + | 1.21072i | ||||
\(528\) | 2.61725 | 0.113901 | ||||||||
\(529\) | 7.45161 | + | 21.7594i | 0.323983 | + | 0.946063i | ||||
\(530\) | 0.834420 | 0.0362449 | ||||||||
\(531\) | −1.26432 | − | 1.45910i | −0.0548666 | − | 0.0633195i | ||||
\(532\) | −5.31660 | − | 3.41677i | −0.230504 | − | 0.148136i | ||||
\(533\) | −0.854137 | + | 5.94065i | −0.0369968 | + | 0.257318i | ||||
\(534\) | −4.37958 | + | 9.58995i | −0.189523 | + | 0.414998i | ||||
\(535\) | 2.33544 | + | 16.2434i | 0.100970 | + | 0.702262i | ||||
\(536\) | 4.56971 | + | 1.34179i | 0.197381 | + | 0.0579564i | ||||
\(537\) | −2.36973 | + | 1.52293i | −0.102261 | + | 0.0657194i | ||||
\(538\) | −7.51085 | − | 16.4465i | −0.323816 | − | 0.709057i | ||||
\(539\) | −15.9060 | + | 4.67043i | −0.685122 | + | 0.201170i | ||||
\(540\) | −0.654861 | + | 0.755750i | −0.0281807 | + | 0.0325223i | ||||
\(541\) | −10.4360 | + | 12.0438i | −0.448680 | + | 0.517804i | −0.934359 | − | 0.356333i | \(-0.884027\pi\) |
0.485679 | + | 0.874137i | \(0.338572\pi\) | |||||||
\(542\) | 6.36157 | − | 1.86793i | 0.273253 | − | 0.0802343i | ||||
\(543\) | −9.81870 | − | 21.4999i | −0.421361 | − | 0.922651i | ||||
\(544\) | −3.84211 | + | 2.46917i | −0.164729 | + | 0.105865i | ||||
\(545\) | 9.40634 | + | 2.76195i | 0.402924 | + | 0.118309i | ||||
\(546\) | 0.277386 | + | 1.92927i | 0.0118710 | + | 0.0825649i | ||||
\(547\) | −3.29764 | + | 7.22082i | −0.140997 | + | 0.308740i | −0.966936 | − | 0.255019i | \(-0.917918\pi\) |
0.825939 | + | 0.563759i | \(0.190645\pi\) | |||||||
\(548\) | 1.67454 | − | 11.6467i | 0.0715326 | − | 0.497520i | ||||
\(549\) | 4.71535 | + | 3.03037i | 0.201246 | + | 0.129333i | ||||
\(550\) | 1.71394 | + | 1.97799i | 0.0730825 | + | 0.0843417i | ||||
\(551\) | −62.7469 | −2.67311 | ||||||||
\(552\) | −3.90203 | − | 2.78822i | −0.166081 | − | 0.118675i | ||||
\(553\) | 13.1671 | 0.559923 | ||||||||
\(554\) | 7.57380 | + | 8.74063i | 0.321780 | + | 0.371354i | ||||
\(555\) | −9.25173 | − | 5.94572i | −0.392714 | − | 0.252382i | ||||
\(556\) | −2.11973 | + | 14.7430i | −0.0898965 | + | 0.625244i | ||||
\(557\) | −5.36857 | + | 11.7555i | −0.227474 | + | 0.498098i | −0.988611 | − | 0.150493i | \(-0.951914\pi\) |
0.761137 | + | 0.648591i | \(0.224641\pi\) | |||||||
\(558\) | −1.14599 | − | 7.97050i | −0.0485134 | − | 0.337418i | ||||
\(559\) | 2.02772 | + | 0.595392i | 0.0857634 | + | 0.0251824i | ||||
\(560\) | −0.686562 | + | 0.441227i | −0.0290125 | + | 0.0186452i | ||||
\(561\) | −4.96559 | − | 10.8731i | −0.209647 | − | 0.459064i | ||||
\(562\) | −8.61567 | + | 2.52979i | −0.363430 | + | 0.106713i | ||||
\(563\) | −6.09842 | + | 7.03795i | −0.257018 | + | 0.296614i | −0.869564 | − | 0.493821i | \(-0.835600\pi\) |
0.612546 | + | 0.790435i | \(0.290145\pi\) | |||||||
\(564\) | −1.70477 | + | 1.96741i | −0.0717838 | + | 0.0828429i | ||||
\(565\) | −9.35441 | + | 2.74670i | −0.393543 | + | 0.115555i | ||||
\(566\) | 11.2010 | + | 24.5268i | 0.470813 | + | 1.03094i | ||||
\(567\) | 0.686562 | − | 0.441227i | 0.0288329 | − | 0.0185298i | ||||
\(568\) | 0.198206 | + | 0.0581986i | 0.00831655 | + | 0.00244196i | ||||
\(569\) | 6.07546 | + | 42.2557i | 0.254696 | + | 1.77145i | 0.569203 | + | 0.822197i | \(0.307252\pi\) |
−0.314507 | + | 0.949255i | \(0.601839\pi\) | |||||||
\(570\) | −3.21689 | + | 7.04401i | −0.134741 | + | 0.295041i | ||||
\(571\) | −0.225406 | + | 1.56773i | −0.00943294 | + | 0.0656075i | −0.993994 | − | 0.109433i | \(-0.965097\pi\) |
0.984561 | + | 0.175040i | \(0.0560056\pi\) | |||||||
\(572\) | −5.25841 | − | 3.37938i | −0.219865 | − | 0.141299i | ||||
\(573\) | −6.10770 | − | 7.04866i | −0.255153 | − | 0.294462i | ||||
\(574\) | 2.05092 | 0.0856036 | ||||||||
\(575\) | −0.448084 | − | 4.77485i | −0.0186864 | − | 0.199125i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 17.3322 | + | 20.0025i | 0.721551 | + | 0.832714i | 0.991493 | − | 0.130163i | \(-0.0415500\pi\) |
−0.269942 | + | 0.962877i | \(0.587005\pi\) | |||||||
\(578\) | 3.24609 | + | 2.08614i | 0.135020 | + | 0.0867718i | ||||
\(579\) | −1.35181 | + | 9.40205i | −0.0561793 | + | 0.390736i | ||||
\(580\) | −3.36605 | + | 7.37062i | −0.139768 | + | 0.306048i | ||||
\(581\) | −0.0792152 | − | 0.550954i | −0.00328640 | − | 0.0228574i | ||||
\(582\) | 12.8185 | + | 3.76386i | 0.531345 | + | 0.156017i | ||||
\(583\) | 1.83720 | − | 1.18070i | 0.0760892 | − | 0.0488996i | ||||
\(584\) | −4.51854 | − | 9.89422i | −0.186978 | − | 0.409426i | ||||
\(585\) | 2.29152 | − | 0.672852i | 0.0947428 | − | 0.0278190i | ||||
\(586\) | −16.0010 | + | 18.4662i | −0.660997 | + | 0.762831i | ||||
\(587\) | −3.59824 | + | 4.15259i | −0.148515 | + | 0.171396i | −0.825133 | − | 0.564939i | \(-0.808900\pi\) |
0.676617 | + | 0.736335i | \(0.263445\pi\) | |||||||
\(588\) | −6.07738 | + | 1.78448i | −0.250627 | + | 0.0735907i | ||||
\(589\) | −25.9039 | − | 56.7217i | −1.06735 | − | 2.33718i | ||||
\(590\) | −1.62418 | + | 1.04380i | −0.0668663 | + | 0.0429724i | ||||
\(591\) | 3.93143 | + | 1.15437i | 0.161717 | + | 0.0474845i | ||||
\(592\) | 1.56511 | + | 10.8856i | 0.0643258 | + | 0.447396i | ||||
\(593\) | −3.93307 | + | 8.61222i | −0.161512 | + | 0.353661i | −0.973035 | − | 0.230659i | \(-0.925912\pi\) |
0.811523 | + | 0.584321i | \(0.198639\pi\) | |||||||
\(594\) | −0.372474 | + | 2.59061i | −0.0152828 | + | 0.106294i | ||||
\(595\) | 3.13561 | + | 2.01514i | 0.128548 | + | 0.0826126i | ||||
\(596\) | −12.4790 | − | 14.4016i | −0.511161 | − | 0.589911i | ||||
\(597\) | 11.0601 | 0.452661 | ||||||||
\(598\) | 4.23956 | + | 10.6402i | 0.173369 | + | 0.435110i | ||||
\(599\) | 9.02446 | 0.368730 | 0.184365 | − | 0.982858i | \(-0.440977\pi\) | ||||
0.184365 | + | 0.982858i | \(0.440977\pi\) | |||||||
\(600\) | 0.654861 | + | 0.755750i | 0.0267346 | + | 0.0308533i | ||||
\(601\) | 28.7506 | + | 18.4769i | 1.17276 | + | 0.753688i | 0.974042 | − | 0.226368i | \(-0.0726851\pi\) |
0.198720 | + | 0.980056i | \(0.436322\pi\) | |||||||
\(602\) | 0.102775 | − | 0.714814i | 0.00418879 | − | 0.0291337i | ||||
\(603\) | −1.97847 | + | 4.33224i | −0.0805694 | + | 0.176422i | ||||
\(604\) | 3.15361 | + | 21.9338i | 0.128318 | + | 0.892474i | ||||
\(605\) | −3.98189 | − | 1.16919i | −0.161887 | − | 0.0475343i | ||||
\(606\) | 0.905372 | − | 0.581847i | 0.0367782 | − | 0.0236359i | ||||
\(607\) | 3.07877 | + | 6.74156i | 0.124963 | + | 0.273632i | 0.961766 | − | 0.273874i | \(-0.0883050\pi\) |
−0.836802 | + | 0.547505i | \(0.815578\pi\) | |||||||
\(608\) | 7.43013 | − | 2.18168i | 0.301331 | − | 0.0884789i | ||||
\(609\) | 4.33052 | − | 4.99768i | 0.175481 | − | 0.202516i | ||||
\(610\) | 3.67059 | − | 4.23609i | 0.148618 | − | 0.171514i | ||||
\(611\) | 5.96542 | − | 1.75161i | 0.241335 | − | 0.0708624i | ||||
\(612\) | −1.89725 | − | 4.15440i | −0.0766919 | − | 0.167932i | ||||
\(613\) | 36.9822 | − | 23.7670i | 1.49370 | − | 0.959940i | 0.498007 | − | 0.867173i | \(-0.334065\pi\) |
0.995688 | − | 0.0927666i | \(-0.0295710\pi\) | |||||||
\(614\) | −31.0188 | − | 9.10795i | −1.25182 | − | 0.367567i | ||||
\(615\) | −0.357639 | − | 2.48744i | −0.0144214 | − | 0.100303i | ||||
\(616\) | −0.887320 | + | 1.94296i | −0.0357512 | + | 0.0782841i | ||||
\(617\) | 1.16292 | − | 8.08827i | 0.0468173 | − | 0.325622i | −0.952931 | − | 0.303187i | \(-0.901949\pi\) |
0.999748 | − | 0.0224344i | \(-0.00714169\pi\) | |||||||
\(618\) | 8.48264 | + | 5.45146i | 0.341222 | + | 0.219290i | ||||
\(619\) | 11.5178 | + | 13.2923i | 0.462940 | + | 0.534262i | 0.938434 | − | 0.345457i | \(-0.112276\pi\) |
−0.475494 | + | 0.879719i | \(0.657731\pi\) | |||||||
\(620\) | −8.05246 | −0.323395 | ||||||||
\(621\) | 3.31516 | − | 3.46550i | 0.133033 | − | 0.139066i | ||||
\(622\) | 15.3309 | 0.614712 | ||||||||
\(623\) | −5.63446 | − | 6.50252i | −0.225740 | − | 0.260518i | ||||
\(624\) | −2.00914 | − | 1.29119i | −0.0804298 | − | 0.0516891i | ||||
\(625\) | −0.142315 | + | 0.989821i | −0.00569259 | + | 0.0395929i | ||||
\(626\) | −8.96140 | + | 19.6227i | −0.358170 | + | 0.784282i | ||||
\(627\) | 2.88436 | + | 20.0612i | 0.115190 | + | 0.801167i | ||||
\(628\) | −3.95673 | − | 1.16180i | −0.157891 | − | 0.0463609i | ||||
\(629\) | 42.2538 | − | 27.1549i | 1.68477 | − | 1.08274i | ||||
\(630\) | −0.339028 | − | 0.742367i | −0.0135072 | − | 0.0295766i | ||||
\(631\) | 11.6207 | − | 3.41214i | 0.462613 | − | 0.135835i | −0.0421172 | − | 0.999113i | \(-0.513410\pi\) |
0.504730 | + | 0.863277i | \(0.331592\pi\) | |||||||
\(632\) | −10.5654 | + | 12.1932i | −0.420270 | + | 0.485018i | ||||
\(633\) | 8.88606 | − | 10.2551i | 0.353189 | − | 0.407602i | ||||
\(634\) | 27.6482 | − | 8.11824i | 1.09805 | − | 0.322417i | ||||
\(635\) | −8.56647 | − | 18.7580i | −0.339950 | − | 0.744387i | ||||
\(636\) | 0.701959 | − | 0.451122i | 0.0278345 | − | 0.0178881i | ||||
\(637\) | 14.5144 | + | 4.26181i | 0.575081 | + | 0.168859i | ||||
\(638\) | 3.01810 | + | 20.9914i | 0.119488 | + | 0.831056i | ||||
\(639\) | −0.0858139 | + | 0.187906i | −0.00339475 | + | 0.00743346i | ||||
\(640\) | 0.142315 | − | 0.989821i | 0.00562549 | − | 0.0391261i | ||||
\(641\) | −5.82437 | − | 3.74310i | −0.230049 | − | 0.147843i | 0.420539 | − | 0.907274i | \(-0.361841\pi\) |
−0.650588 | + | 0.759431i | \(0.725477\pi\) | |||||||
\(642\) | 10.7465 | + | 12.4022i | 0.424132 | + | 0.489474i | ||||
\(643\) | −24.6438 | −0.971855 | −0.485928 | − | 0.873999i | \(-0.661518\pi\) | ||||
−0.485928 | + | 0.873999i | \(0.661518\pi\) | |||||||
\(644\) | 3.39278 | − | 1.95145i | 0.133694 | − | 0.0768979i | ||||
\(645\) | −0.884878 | −0.0348421 | ||||||||
\(646\) | −23.1604 | − | 26.7285i | −0.911234 | − | 1.05162i | ||||
\(647\) | 32.3568 | + | 20.7945i | 1.27208 | + | 0.817514i | 0.989889 | − | 0.141845i | \(-0.0453033\pi\) |
0.282188 | + | 0.959359i | \(0.408940\pi\) | |||||||
\(648\) | −0.142315 | + | 0.989821i | −0.00559065 | + | 0.0388839i | ||||
\(649\) | −2.09911 | + | 4.59640i | −0.0823971 | + | 0.180425i | ||||
\(650\) | −0.339885 | − | 2.36395i | −0.0133314 | − | 0.0927219i | ||||
\(651\) | 6.30556 | + | 1.85148i | 0.247134 | + | 0.0725651i | ||||
\(652\) | −5.20852 | + | 3.34731i | −0.203981 | + | 0.131091i | ||||
\(653\) | 14.8535 | + | 32.5246i | 0.581262 | + | 1.27279i | 0.940581 | + | 0.339570i | \(0.110282\pi\) |
−0.359319 | + | 0.933215i | \(0.616991\pi\) | |||||||
\(654\) | 9.40634 | − | 2.76195i | 0.367817 | − | 0.108001i | ||||
\(655\) | −9.19553 | + | 10.6122i | −0.359299 | + | 0.414653i | ||||
\(656\) | −1.64567 | + | 1.89921i | −0.0642528 | + | 0.0741517i | ||||
\(657\) | 10.4366 | − | 3.06445i | 0.407169 | − | 0.119556i | ||||
\(658\) | −0.882576 | − | 1.93257i | −0.0344064 | − | 0.0753395i | ||||
\(659\) | 28.2386 | − | 18.1478i | 1.10002 | − | 0.706939i | 0.140923 | − | 0.990021i | \(-0.454993\pi\) |
0.959096 | + | 0.283082i | \(0.0913567\pi\) | |||||||
\(660\) | 2.51123 | + | 0.737365i | 0.0977497 | + | 0.0287019i | ||||
\(661\) | −3.66823 | − | 25.5131i | −0.142678 | − | 0.992346i | −0.927819 | − | 0.373030i | \(-0.878319\pi\) |
0.785142 | − | 0.619316i | \(-0.212590\pi\) | |||||||
\(662\) | 11.4691 | − | 25.1138i | 0.445759 | − | 0.976076i | ||||
\(663\) | −1.55230 | + | 10.7965i | −0.0602863 | + | 0.419300i | ||||
\(664\) | 0.573763 | + | 0.368735i | 0.0222663 | + | 0.0143097i | ||||
\(665\) | −4.13863 | − | 4.77623i | −0.160489 | − | 0.185214i | ||||
\(666\) | −10.9975 | −0.426146 | ||||||||
\(667\) | 17.8630 | − | 34.5110i | 0.691657 | − | 1.33627i | ||||
\(668\) | 21.0610 | 0.814876 | ||||||||
\(669\) | 5.88405 | + | 6.79055i | 0.227490 | + | 0.262538i | ||||
\(670\) | 4.00658 | + | 2.57487i | 0.154788 | + | 0.0994759i | ||||
\(671\) | 2.08777 | − | 14.5208i | 0.0805975 | − | 0.560568i | ||||
\(672\) | −0.339028 | + | 0.742367i | −0.0130783 | + | 0.0286374i | ||||
\(673\) | 2.96744 | + | 20.6390i | 0.114386 | + | 0.795574i | 0.963566 | + | 0.267470i | \(0.0861876\pi\) |
−0.849180 | + | 0.528104i | \(0.822903\pi\) | |||||||
\(674\) | 15.9896 | + | 4.69497i | 0.615896 | + | 0.180843i | ||||
\(675\) | −0.841254 | + | 0.540641i | −0.0323799 | + | 0.0208093i | ||||
\(676\) | −3.03095 | − | 6.63685i | −0.116575 | − | 0.255264i | ||||
\(677\) | −26.2845 | + | 7.71781i | −1.01019 | + | 0.296620i | −0.744633 | − | 0.667474i | \(-0.767375\pi\) |
−0.265561 | + | 0.964094i | \(0.585557\pi\) | |||||||
\(678\) | −6.38445 | + | 7.36805i | −0.245193 | + | 0.282968i | ||||
\(679\) | −7.13999 | + | 8.23999i | −0.274008 | + | 0.316222i | ||||
\(680\) | −4.38212 | + | 1.28671i | −0.168047 | + | 0.0493430i | ||||
\(681\) | −3.54058 | − | 7.75279i | −0.135675 | − | 0.297088i | ||||
\(682\) | −17.7297 | + | 11.3942i | −0.678905 | + | 0.436306i | ||||
\(683\) | 5.59992 | + | 1.64428i | 0.214275 | + | 0.0629168i | 0.387108 | − | 0.922034i | \(-0.373474\pi\) |
−0.172833 | + | 0.984951i | \(0.555292\pi\) | |||||||
\(684\) | 1.10206 | + | 7.66498i | 0.0421383 | + | 0.293078i | ||||
\(685\) | 4.88795 | − | 10.7031i | 0.186759 | − | 0.408945i | ||||
\(686\) | 1.54868 | − | 10.7713i | 0.0591289 | − | 0.411251i | ||||
\(687\) | 20.7056 | + | 13.3067i | 0.789969 | + | 0.507682i | ||||
\(688\) | 0.579472 | + | 0.668747i | 0.0220922 | + | 0.0254957i | ||||
\(689\) | −1.99282 | −0.0759202 | ||||||||
\(690\) | −2.95843 | − | 3.77461i | −0.112626 | − | 0.143697i | ||||
\(691\) | 8.65111 | 0.329104 | 0.164552 | − | 0.986368i | \(-0.447382\pi\) | ||||
0.164552 | + | 0.986368i | \(0.447382\pi\) | |||||||
\(692\) | −6.18555 | − | 7.13851i | −0.235139 | − | 0.271365i | ||||
\(693\) | −1.79691 | − | 1.15480i | −0.0682588 | − | 0.0438673i | ||||
\(694\) | −1.14430 | + | 7.95879i | −0.0434371 | + | 0.302112i | ||||
\(695\) | −6.18746 | + | 13.5486i | −0.234704 | + | 0.513929i | ||||
\(696\) | 1.15316 | + | 8.02038i | 0.0437103 | + | 0.304012i | ||||
\(697\) | 11.0123 | + | 3.23352i | 0.417122 | + | 0.122478i | ||||
\(698\) | −23.7468 | + | 15.2612i | −0.898831 | + | 0.577644i | ||||
\(699\) | −2.00755 | − | 4.39592i | −0.0759324 | − | 0.166269i | ||||
\(700\) | −0.783059 | + | 0.229927i | −0.0295969 | + | 0.00869042i | ||||
\(701\) | −28.0124 | + | 32.3280i | −1.05801 | + | 1.22101i | −0.0835400 | + | 0.996504i | \(0.526623\pi\) |
−0.974472 | + | 0.224507i | \(0.927923\pi\) | |||||||
\(702\) | 1.56398 | − | 1.80493i | 0.0590286 | − | 0.0681227i | ||||
\(703\) | −81.7132 | + | 23.9932i | −3.08187 | + | 0.904919i | ||||
\(704\) | −1.08725 | − | 2.38074i | −0.0409771 | − | 0.0897274i | ||||
\(705\) | −2.19000 | + | 1.40743i | −0.0824801 | + | 0.0530068i | ||||
\(706\) | −25.1083 | − | 7.37246i | −0.944963 | − | 0.277466i | ||||
\(707\) | 0.124998 | + | 0.869381i | 0.00470104 | + | 0.0326964i | ||||
\(708\) | −0.802027 | + | 1.75619i | −0.0301420 | + | 0.0660018i | ||||
\(709\) | −2.16229 | + | 15.0390i | −0.0812064 | + | 0.564803i | 0.908078 | + | 0.418801i | \(0.137550\pi\) |
−0.989284 | + | 0.146002i | \(0.953360\pi\) | |||||||
\(710\) | 0.173781 | + | 0.111682i | 0.00652189 | + | 0.00419136i | ||||
\(711\) | −10.5654 | − | 12.1932i | −0.396234 | − | 0.457279i | ||||
\(712\) | 10.5427 | 0.395103 | ||||||||
\(713\) | 38.5715 | + | 1.90046i | 1.44451 | + | 0.0711727i | ||||
\(714\) | 3.72731 | 0.139491 | ||||||||
\(715\) | −4.09333 | − | 4.72395i | −0.153082 | − | 0.176666i | ||||
\(716\) | 2.36973 | + | 1.52293i | 0.0885609 | + | 0.0569146i | ||||
\(717\) | −1.38703 | + | 9.64697i | −0.0517994 | + | 0.360273i | ||||
\(718\) | 2.51179 | − | 5.50005i | 0.0937392 | − | 0.205260i | ||||
\(719\) | 1.00084 | + | 6.96101i | 0.0373251 | + | 0.259602i | 0.999936 | − | 0.0112849i | \(-0.00359218\pi\) |
−0.962611 | + | 0.270887i | \(0.912683\pi\) | |||||||
\(720\) | 0.959493 | + | 0.281733i | 0.0357582 | + | 0.0104996i | ||||
\(721\) | −6.92283 | + | 4.44903i | −0.257820 | + | 0.165691i | ||||
\(722\) | 17.0181 | + | 37.2645i | 0.633348 | + | 1.38684i | ||||
\(723\) | 9.68368 | − | 2.84338i | 0.360140 | − | 0.105747i | ||||
\(724\) | −15.4782 | + | 17.8628i | −0.575243 | + | 0.663866i | ||||
\(725\) | −5.30624 | + | 6.12373i | −0.197069 | + | 0.227430i | ||||
\(726\) | −3.98189 | + | 1.16919i | −0.147782 | + | 0.0433926i | ||||
\(727\) | 2.16740 | + | 4.74595i | 0.0803845 | + | 0.176018i | 0.945557 | − | 0.325457i | \(-0.105518\pi\) |
−0.865172 | + | 0.501475i | \(0.832791\pi\) | |||||||
\(728\) | 1.63969 | − | 1.05377i | 0.0607710 | − | 0.0390551i | ||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | −1.54798 | − | 10.7665i | −0.0572934 | − | 0.398484i | ||||
\(731\) | 1.67884 | − | 3.67614i | 0.0620941 | − | 0.135967i | ||||
\(732\) | 0.797696 | − | 5.54809i | 0.0294837 | − | 0.205063i | ||||
\(733\) | 12.1094 | + | 7.78221i | 0.447269 | + | 0.287442i | 0.744822 | − | 0.667263i | \(-0.232534\pi\) |
−0.297553 | + | 0.954705i | \(0.596171\pi\) | |||||||
\(734\) | −5.57670 | − | 6.43586i | −0.205840 | − | 0.237552i | ||||
\(735\) | −6.33395 | −0.233631 | ||||||||
\(736\) | −0.915298 | + | 4.70768i | −0.0337383 | + | 0.173527i | ||||
\(737\) | 12.4650 | 0.459154 | ||||||||
\(738\) | −1.64567 | − | 1.89921i | −0.0605781 | − | 0.0699109i | ||||
\(739\) | 28.2985 | + | 18.1864i | 1.04098 | + | 0.668997i | 0.945229 | − | 0.326409i | \(-0.105839\pi\) |
0.0957503 | + | 0.995405i | \(0.469475\pi\) | |||||||
\(740\) | −1.56511 | + | 10.8856i | −0.0575347 | + | 0.400163i | ||||
\(741\) | 7.68279 | − | 16.8230i | 0.282234 | − | 0.618007i | ||||
\(742\) | 0.0969143 | + | 0.674054i | 0.00355784 | + | 0.0247453i | ||||
\(743\) | −23.1249 | − | 6.79008i | −0.848370 | − | 0.249104i | −0.171480 | − | 0.985188i | \(-0.554855\pi\) |
−0.676890 | + | 0.736084i | \(0.736673\pi\) | |||||||
\(744\) | −6.77416 | + | 4.35349i | −0.248353 | + | 0.159607i | ||||
\(745\) | −7.91615 | − | 17.3340i | −0.290025 | − | 0.635067i | ||||
\(746\) | 6.76216 | − | 1.98555i | 0.247580 | − | 0.0726962i | ||||
\(747\) | −0.446637 | + | 0.515446i | −0.0163416 | + | 0.0188592i | ||||
\(748\) | −7.82776 | + | 9.03372i | −0.286211 | + | 0.330305i | ||||
\(749\) | −12.8503 | + | 3.77320i | −0.469541 | + | 0.137870i | ||||
\(750\) | 0.415415 | + | 0.909632i | 0.0151688 | + | 0.0332151i | ||||
\(751\) | 1.98338 | − | 1.27464i | 0.0723747 | − | 0.0465124i | −0.503953 | − | 0.863731i | \(-0.668122\pi\) |
0.576328 | + | 0.817219i | \(0.304485\pi\) | |||||||
\(752\) | 2.49781 | + | 0.733422i | 0.0910856 | + | 0.0267452i | ||||
\(753\) | 3.04857 | + | 21.2033i | 0.111096 | + | 0.772691i | ||||
\(754\) | 8.03901 | − | 17.6030i | 0.292763 | − | 0.641062i | ||||
\(755\) | −3.15361 | + | 21.9338i | −0.114771 | + | 0.798253i | ||||
\(756\) | −0.686562 | − | 0.441227i | −0.0249700 | − | 0.0160473i | ||||
\(757\) | −0.536935 | − | 0.619656i | −0.0195152 | − | 0.0225218i | 0.745908 | − | 0.666049i | \(-0.232016\pi\) |
−0.765423 | + | 0.643527i | \(0.777470\pi\) | |||||||
\(758\) | −9.72580 | −0.353257 | ||||||||
\(759\) | −11.8548 | − | 4.12467i | −0.430304 | − | 0.149716i | ||||
\(760\) | 7.74381 | 0.280897 | ||||||||
\(761\) | 10.4755 | + | 12.0894i | 0.379738 | + | 0.438241i | 0.913156 | − | 0.407611i | \(-0.133638\pi\) |
−0.533418 | + | 0.845852i | \(0.679093\pi\) | |||||||
\(762\) | −17.3479 | − | 11.1488i | −0.628448 | − | 0.403879i | ||||
\(763\) | −1.13863 | + | 7.91933i | −0.0412211 | + | 0.286699i | ||||
\(764\) | −3.87446 | + | 8.48388i | −0.140173 | + | 0.306936i | ||||
\(765\) | −0.649970 | − | 4.52064i | −0.0234997 | − | 0.163444i | ||||
\(766\) | 8.15592 | + | 2.39479i | 0.294685 | + | 0.0865274i | ||||
\(767\) | 3.87897 | − | 2.49286i | 0.140061 | − | 0.0900119i | ||||
\(768\) | −0.415415 | − | 0.909632i | −0.0149900 | − | 0.0328235i | ||||
\(769\) | 1.02577 | − | 0.301194i | 0.0369903 | − | 0.0108613i | −0.263185 | − | 0.964745i | \(-0.584773\pi\) |
0.300175 | + | 0.953884i | \(0.402955\pi\) | |||||||
\(770\) | −1.39877 | + | 1.61427i | −0.0504083 | + | 0.0581743i | ||||
\(771\) | 10.0866 | − | 11.6406i | 0.363260 | − | 0.419225i | ||||
\(772\) | 9.11396 | − | 2.67610i | 0.328019 | − | 0.0963150i | ||||
\(773\) | 10.8635 | + | 23.7878i | 0.390733 | + | 0.855587i | 0.998126 | + | 0.0611852i | \(0.0194880\pi\) |
−0.607393 | + | 0.794401i | \(0.707785\pi\) | |||||||
\(774\) | −0.744407 | + | 0.478401i | −0.0267572 | + | 0.0171958i | ||||
\(775\) | −7.72628 | − | 2.26864i | −0.277536 | − | 0.0814920i | ||||
\(776\) | −1.90128 | − | 13.2237i | −0.0682520 | − | 0.474703i | ||||
\(777\) | 3.72847 | − | 8.16421i | 0.133758 | − | 0.292890i | ||||
\(778\) | −1.87825 | + | 13.0635i | −0.0673385 | + | 0.468349i | ||||
\(779\) | −16.3710 | − | 10.5210i | −0.586553 | − | 0.376955i | ||||
\(780\) | −1.56398 | − | 1.80493i | −0.0559995 | − | 0.0646268i | ||||
\(781\) | 0.540656 | 0.0193462 | ||||||||
\(782\) | 21.2941 | − | 5.12913i | 0.761477 | − | 0.183417i | ||||
\(783\) | −8.10285 | −0.289572 | ||||||||
\(784\) | 4.14786 | + | 4.78688i | 0.148138 | + | 0.170960i | ||||
\(785\) | −3.46914 | − | 2.22948i | −0.123819 | − | 0.0795735i | ||||
\(786\) | −1.99838 | + | 13.8990i | −0.0712798 | + | 0.495762i | ||||
\(787\) | 22.3150 | − | 48.8630i | 0.795444 | − | 1.74178i | 0.135077 | − | 0.990835i | \(-0.456872\pi\) |
0.660367 | − | 0.750943i | \(-0.270401\pi\) | |||||||
\(788\) | −0.583122 | − | 4.05570i | −0.0207728 | − | 0.144478i | ||||
\(789\) | 6.73400 | + | 1.97728i | 0.239737 | + | 0.0703930i | ||||
\(790\) | −13.5727 | + | 8.72262i | −0.482894 | + | 0.310337i | ||||
\(791\) | −3.30529 | − | 7.23757i | −0.117523 | − | 0.257338i | ||||
\(792\) | 2.51123 | − | 0.737365i | 0.0892328 | − | 0.0262011i | ||||
\(793\) | −8.76634 | + | 10.1169i | −0.311302 | + | 0.359261i | ||||
\(794\) | 2.10130 | − | 2.42503i | 0.0745724 | − | 0.0860612i | ||||
\(795\) | 0.800620 | − | 0.235083i | 0.0283951 | − | 0.00833755i | ||||
\(796\) | −4.59454 | − | 10.0606i | −0.162849 | − | 0.356590i | ||||
\(797\) | −21.5916 | + | 13.8761i | −0.764813 | + | 0.491515i | −0.863962 | − | 0.503557i | \(-0.832024\pi\) |
0.0991491 | + | 0.995073i | \(0.468388\pi\) | |||||||
\(798\) | −6.06386 | − | 1.78051i | −0.214658 | − | 0.0630293i | ||||
\(799\) | −1.69204 | − | 11.7684i | −0.0598600 | − | 0.416335i | ||||
\(800\) | 0.415415 | − | 0.909632i | 0.0146871 | − | 0.0321603i | ||||
\(801\) | −1.50038 | + | 10.4354i | −0.0530133 | + | 0.368715i | ||||
\(802\) | 13.4819 | + | 8.66432i | 0.476064 | + | 0.305948i | ||||
\(803\) | −18.6428 | − | 21.5149i | −0.657889 | − | 0.759244i | ||||
\(804\) | 4.76263 | 0.167965 | ||||||||
\(805\) | 3.80513 | − | 0.916545i | 0.134113 | − | 0.0323040i | ||||
\(806\) | 19.2314 | 0.677397 | ||||||||
\(807\) | −11.8401 | − | 13.6642i | −0.416792 | − | 0.481003i | ||||
\(808\) | −0.905372 | − | 0.581847i | −0.0318509 | − | 0.0204693i | ||||
\(809\) | 3.71620 | − | 25.8468i | 0.130655 | − | 0.908724i | −0.814048 | − | 0.580797i | \(-0.802741\pi\) |
0.944703 | − | 0.327927i | \(-0.106350\pi\) | |||||||
\(810\) | −0.415415 | + | 0.909632i | −0.0145962 | + | 0.0319612i | ||||
\(811\) | −1.02162 | − | 7.10553i | −0.0358739 | − | 0.249509i | 0.963991 | − | 0.265934i | \(-0.0856804\pi\) |
−0.999865 | + | 0.0164255i | \(0.994771\pi\) | |||||||
\(812\) | −6.34501 | − | 1.86306i | −0.222666 | − | 0.0653807i | ||||
\(813\) | 5.57763 | − | 3.58452i | 0.195616 | − | 0.125715i | ||||
\(814\) | 11.9570 | + | 26.1823i | 0.419094 | + | 0.917688i | ||||
\(815\) | −5.94058 | + | 1.74431i | −0.208089 | + | 0.0611006i | ||||
\(816\) | −2.99083 | + | 3.45160i | −0.104700 | + | 0.120830i | ||||
\(817\) | −4.48732 | + | 5.17864i | −0.156991 | + | 0.181178i | ||||
\(818\) | 14.6018 | − | 4.28749i | 0.510542 | − | 0.149909i | ||||
\(819\) | 0.809687 | + | 1.77297i | 0.0282928 | + | 0.0619525i | ||||
\(820\) | −2.11408 | + | 1.35864i | −0.0738270 | + | 0.0474457i | ||||
\(821\) | −25.1991 | − | 7.39911i | −0.879453 | − | 0.258231i | −0.189322 | − | 0.981915i | \(-0.560629\pi\) |
−0.690131 | + | 0.723684i | \(0.742447\pi\) | |||||||
\(822\) | −1.67454 | − | 11.6467i | −0.0584061 | − | 0.406224i | ||||
\(823\) | 5.12442 | − | 11.2209i | 0.178626 | − | 0.391136i | −0.799047 | − | 0.601268i | \(-0.794662\pi\) |
0.977673 | + | 0.210132i | \(0.0673895\pi\) | |||||||
\(824\) | 1.43501 | − | 9.98069i | 0.0499908 | − | 0.347694i | ||||
\(825\) | 2.20177 | + | 1.41499i | 0.0766559 | + | 0.0492637i | ||||
\(826\) | −1.03183 | − | 1.19080i | −0.0359020 | − | 0.0414331i | ||||
\(827\) | −17.5310 | −0.609614 | −0.304807 | − | 0.952414i | \(-0.598592\pi\) | ||||
−0.304807 | + | 0.952414i | \(0.598592\pi\) | |||||||
\(828\) | −4.52950 | − | 1.57595i | −0.157411 | − | 0.0547682i | ||||
\(829\) | 12.2677 | 0.426074 | 0.213037 | − | 0.977044i | \(-0.431664\pi\) | ||||
0.213037 | + | 0.977044i | \(0.431664\pi\) | |||||||
\(830\) | 0.446637 | + | 0.515446i | 0.0155030 | + | 0.0178914i | ||||
\(831\) | 9.72952 | + | 6.25279i | 0.337513 | + | 0.216907i | ||||
\(832\) | −0.339885 | + | 2.36395i | −0.0117834 | + | 0.0819554i | ||||
\(833\) | 12.0171 | − | 26.3138i | 0.416368 | − | 0.911719i | ||||
\(834\) | 2.11973 | + | 14.7430i | 0.0734002 | + | 0.510510i | ||||
\(835\) | 20.2079 | + | 5.93358i | 0.699324 | + | 0.205340i | ||||
\(836\) | 17.0501 | − | 10.9574i | 0.589690 | − | 0.378971i | ||||
\(837\) | −3.34511 | − | 7.32478i | −0.115624 | − | 0.253181i | ||||
\(838\) | −26.6493 | + | 7.82493i | −0.920583 | + | 0.270308i | ||||
\(839\) | −27.8606 | + | 32.1528i | −0.961854 | + | 1.11004i | 0.0320163 | + | 0.999487i | \(0.489807\pi\) |
−0.993870 | + | 0.110551i | \(0.964738\pi\) | |||||||
\(840\) | −0.534443 | + | 0.616781i | −0.0184400 | + | 0.0212810i | ||||
\(841\) | −35.1714 | + | 10.3273i | −1.21281 | + | 0.356112i | ||||
\(842\) | 4.45661 | + | 9.75863i | 0.153585 | + | 0.336304i | ||||
\(843\) | −7.55396 | + | 4.85463i | −0.260172 | + | 0.167202i | ||||
\(844\) | −13.0197 | − | 3.82294i | −0.448158 | − | 0.131591i | ||||
\(845\) | −1.03836 | − | 7.22193i | −0.0357206 | − | 0.248442i | ||||
\(846\) | −1.08143 | + | 2.36801i | −0.0371804 | + | 0.0814137i | ||||
\(847\) | 0.482004 | − | 3.35241i | 0.0165618 | − | 0.115190i | ||||
\(848\) | −0.701959 | − | 0.451122i | −0.0241054 | − | 0.0154916i | ||||
\(849\) | 17.6573 | + | 20.3776i | 0.605996 | + | 0.699356i | ||||
\(850\) | −4.56713 | −0.156651 | ||||||||
\(851\) | 10.0660 | − | 51.7729i | 0.345059 | − | 1.77475i | ||||
\(852\) | 0.206574 | 0.00707711 | ||||||||
\(853\) | −24.0365 | − | 27.7396i | −0.822995 | − | 0.949787i | 0.176409 | − | 0.984317i | \(-0.443552\pi\) |
−0.999404 | + | 0.0345303i | \(0.989006\pi\) | |||||||
\(854\) | 3.84828 | + | 2.47314i | 0.131685 | + | 0.0846291i | ||||
\(855\) | −1.10206 | + | 7.66498i | −0.0376896 | + | 0.262137i | ||||
\(856\) | 6.81713 | − | 14.9274i | 0.233005 | − | 0.510209i | ||||
\(857\) | −4.10813 | − | 28.5727i | −0.140331 | − | 0.976024i | −0.931322 | − | 0.364197i | \(-0.881344\pi\) |
0.790991 | − | 0.611828i | \(-0.209565\pi\) | |||||||
\(858\) | −5.99749 | − | 1.76102i | −0.204751 | − | 0.0601203i | ||||
\(859\) | 48.8160 | − | 31.3721i | 1.66558 | − | 1.07040i | 0.756291 | − | 0.654235i | \(-0.227009\pi\) |
0.909288 | − | 0.416168i | \(-0.136627\pi\) | |||||||
\(860\) | 0.367592 | + | 0.804914i | 0.0125348 | + | 0.0274473i | ||||
\(861\) | 1.96784 | − | 0.577810i | 0.0670638 | − | 0.0196917i | ||||
\(862\) | −17.1382 | + | 19.7786i | −0.583730 | + | 0.673660i | ||||
\(863\) | 23.9324 | − | 27.6195i | 0.814669 | − | 0.940178i | −0.184420 | − | 0.982847i | \(-0.559041\pi\) |
0.999089 | + | 0.0426693i | \(0.0135862\pi\) | |||||||
\(864\) | 0.959493 | − | 0.281733i | 0.0326426 | − | 0.00958474i | ||||
\(865\) | −3.92384 | − | 8.59202i | −0.133415 | − | 0.292137i | ||||
\(866\) | 5.89996 | − | 3.79168i | 0.200489 | − | 0.128846i | ||||
\(867\) | 3.70233 | + | 1.08710i | 0.125738 | + | 0.0369200i | ||||
\(868\) | −0.935259 | − | 6.50487i | −0.0317447 | − | 0.220790i | ||||
\(869\) | −17.5415 | + | 38.4104i | −0.595053 | + | 1.30299i | ||||
\(870\) | −1.15316 | + | 8.02038i | −0.0390957 | + | 0.271916i | ||||
\(871\) | −9.56876 | − | 6.14947i | −0.324225 | − | 0.208367i | ||||
\(872\) | −6.41990 | − | 7.40896i | −0.217405 | − | 0.250899i | ||||
\(873\) | 13.3597 | 0.452156 | ||||||||
\(874\) | −37.0930 | − | 1.82761i | −1.25469 | − | 0.0618199i | ||||
\(875\) | −0.816118 | −0.0275898 | ||||||||
\(876\) | −7.12303 | − | 8.22041i | −0.240665 | − | 0.277742i | ||||
\(877\) | −23.1171 | − | 14.8565i | −0.780610 | − | 0.501667i | 0.0886262 | − | 0.996065i | \(-0.471752\pi\) |
−0.869236 | + | 0.494398i | \(0.835389\pi\) | |||||||
\(878\) | 2.86415 | − | 19.9206i | 0.0966603 | − | 0.672287i | ||||
\(879\) | −10.1504 | + | 22.2262i | −0.342363 | + | 0.749671i | ||||
\(880\) | −0.372474 | − | 2.59061i | −0.0125561 | − | 0.0873295i | ||||
\(881\) | −32.2133 | − | 9.45867i | −1.08529 | − | 0.318671i | −0.310299 | − | 0.950639i | \(-0.600429\pi\) |
−0.774994 | + | 0.631968i | \(0.782247\pi\) | |||||||
\(882\) | −5.32846 | + | 3.42439i | −0.179419 | + | 0.115305i | ||||
\(883\) | −18.4181 | − | 40.3300i | −0.619818 | − | 1.35721i | −0.915651 | − | 0.401973i | \(-0.868325\pi\) |
0.295833 | − | 0.955240i | \(-0.404403\pi\) | |||||||
\(884\) | 10.4657 | − | 3.07300i | 0.351999 | − | 0.103356i | ||||
\(885\) | −1.26432 | + | 1.45910i | −0.0424995 | + | 0.0490471i | ||||
\(886\) | 3.99997 | − | 4.61621i | 0.134382 | − | 0.155085i | ||||
\(887\) | −0.114557 | + | 0.0336369i | −0.00384644 | + | 0.00112942i | −0.283655 | − | 0.958926i | \(-0.591547\pi\) |
0.279809 | + | 0.960056i | \(0.409729\pi\) | |||||||
\(888\) | 4.56855 | + | 10.0037i | 0.153310 | + | 0.335703i | ||||
\(889\) | 14.1579 | − | 9.09874i | 0.474841 | − | 0.305162i | ||||
\(890\) | 10.1156 | + | 2.97021i | 0.339076 | + | 0.0995618i | ||||
\(891\) | 0.372474 | + | 2.59061i | 0.0124783 | + | 0.0867888i | ||||
\(892\) | 3.73258 | − | 8.17321i | 0.124976 | − | 0.273659i | ||||
\(893\) | −2.86894 | + | 19.9539i | −0.0960054 | + | 0.667733i | ||||
\(894\) | −16.0309 | − | 10.3025i | −0.536155 | − | 0.344566i | ||||
\(895\) | 1.84468 | + | 2.12887i | 0.0616608 | + | 0.0711603i | ||||
\(896\) | 0.816118 | 0.0272646 | ||||||||
\(897\) | 7.06552 | + | 9.01476i | 0.235911 | + | 0.300994i | ||||
\(898\) | 4.50733 | 0.150412 | ||||||||
\(899\) | −42.7283 | − | 49.3111i | −1.42507 | − | 1.64462i | ||||
\(900\) | 0.841254 | + | 0.540641i | 0.0280418 | + | 0.0180214i | ||||
\(901\) | −0.542348 | + | 3.77211i | −0.0180682 | + | 0.125667i | ||||
\(902\) | −2.73226 | + | 5.98282i | −0.0909744 | + | 0.199206i | ||||
\(903\) | −0.102775 | − | 0.714814i | −0.00342013 | − | 0.0237875i | ||||
\(904\) | 9.35441 | + | 2.74670i | 0.311123 | + | 0.0913539i | ||||
\(905\) | −19.8838 | + | 12.7785i | −0.660959 | + | 0.424772i | ||||
\(906\) | 9.20533 | + | 20.1569i | 0.305827 | + | 0.669667i | ||||
\(907\) | 22.2816 | − | 6.54247i | 0.739849 | − | 0.217239i | 0.109972 | − | 0.993935i | \(-0.464924\pi\) |
0.629876 | + | 0.776695i | \(0.283106\pi\) | |||||||
\(908\) | −5.58138 | + | 6.44125i | −0.185224 | + | 0.213760i | ||||
\(909\) | 0.704773 | − | 0.813351i | 0.0233758 | − | 0.0269772i | ||||
\(910\) | 1.87015 | − | 0.549126i | 0.0619949 | − | 0.0182034i | ||||
\(911\) | −8.20139 | − | 17.9585i | −0.271724 | − | 0.594993i | 0.723746 | − | 0.690066i | \(-0.242419\pi\) |
−0.995470 | + | 0.0950735i | \(0.969691\pi\) | |||||||
\(912\) | 6.51450 | − | 4.18662i | 0.215717 | − | 0.138633i | ||||
\(913\) | 1.71274 | + | 0.502907i | 0.0566836 | + | 0.0166438i | ||||
\(914\) | −0.163861 | − | 1.13968i | −0.00542003 | − | 0.0376971i | ||||
\(915\) | 2.32846 | − | 5.09862i | 0.0769766 | − | 0.168555i | ||||
\(916\) | 3.50277 | − | 24.3623i | 0.115735 | − | 0.804953i | ||||
\(917\) | −9.64067 | − | 6.19568i | −0.318363 | − | 0.204600i | ||||
\(918\) | −2.99083 | − | 3.45160i | −0.0987121 | − | 0.113920i | ||||
\(919\) | 13.0225 | 0.429573 | 0.214787 | − | 0.976661i | \(-0.431094\pi\) | ||||
0.214787 | + | 0.976661i | \(0.431094\pi\) | |||||||
\(920\) | −2.20453 | + | 4.25911i | −0.0726811 | + | 0.140419i | ||||
\(921\) | −32.3284 | −1.06526 | ||||||||
\(922\) | 20.9231 | + | 24.1465i | 0.689065 | + | 0.795223i | ||||
\(923\) | −0.415035 | − | 0.266727i | −0.0136610 | − | 0.00877942i | ||||
\(924\) | −0.303982 | + | 2.11424i | −0.0100003 | + | 0.0695535i | ||||
\(925\) | −4.56855 | + | 10.0037i | −0.150213 | + | 0.328920i | ||||
\(926\) | 0.275153 | + | 1.91373i | 0.00904209 | + | 0.0628891i | ||||
\(927\) | 9.67488 | + | 2.84080i | 0.317765 | + | 0.0933042i | ||||
\(928\) | 6.81655 | − | 4.38073i | 0.223764 | − | 0.143805i | ||||
\(929\) | 19.8504 | + | 43.4664i | 0.651272 | + | 1.42609i | 0.890437 | + | 0.455107i | \(0.150399\pi\) |
−0.239165 | + | 0.970979i | \(0.576874\pi\) | |||||||
\(930\) | −7.72628 | + | 2.26864i | −0.253355 | + | 0.0743917i | ||||
\(931\) | −32.1202 | + | 37.0687i | −1.05270 | + | 1.21488i | ||||
\(932\) | −3.16470 | + | 3.65226i | −0.103663 | + | 0.119634i | ||||
\(933\) | 14.7099 | − | 4.31920i | 0.481579 | − | 0.141404i | ||||
\(934\) | 1.47859 | + | 3.23767i | 0.0483810 | + | 0.105940i | ||||
\(935\) | −10.0558 | + | 6.46245i | −0.328859 | + | 0.211345i | ||||
\(936\) | −2.29152 | − | 0.672852i | −0.0749007 | − | 0.0219928i | ||||
\(937\) | −6.99498 | − | 48.6512i | −0.228516 | − | 1.58936i | −0.704366 | − | 0.709837i | \(-0.748768\pi\) |
0.475850 | − | 0.879527i | \(-0.342141\pi\) | |||||||
\(938\) | −1.61466 | + | 3.53562i | −0.0527206 | + | 0.115442i | ||||
\(939\) | −3.07004 | + | 21.3526i | −0.100187 | + | 0.696816i | ||||
\(940\) | 2.19000 | + | 1.40743i | 0.0714299 | + | 0.0459052i | ||||
\(941\) | 0.601062 | + | 0.693662i | 0.0195940 | + | 0.0226127i | 0.765462 | − | 0.643481i | \(-0.222510\pi\) |
−0.745868 | + | 0.666094i | \(0.767965\pi\) | |||||||
\(942\) | −4.12377 | −0.134360 | ||||||||
\(943\) | 10.4471 | − | 6.00896i | 0.340206 | − | 0.195679i | ||||
\(944\) | 1.93066 | 0.0628378 | ||||||||
\(945\) | −0.534443 | − | 0.616781i | −0.0173854 | − | 0.0200639i | ||||
\(946\) | 1.94830 | + | 1.25210i | 0.0633447 | + | 0.0407092i | ||||
\(947\) | −1.75699 | + | 12.2201i | −0.0570944 | + | 0.397100i | 0.941156 | + | 0.337972i | \(0.109741\pi\) |
−0.998250 | + | 0.0591278i | \(0.981168\pi\) | |||||||
\(948\) | −6.70224 | + | 14.6759i | −0.217679 | + | 0.476650i | ||||
\(949\) | 3.69699 | + | 25.7131i | 0.120009 | + | 0.834683i | ||||
\(950\) | 7.43013 | + | 2.18168i | 0.241065 | + | 0.0707831i | ||||
\(951\) | 24.2411 | − | 15.5788i | 0.786071 | − | 0.505177i | ||||
\(952\) | −1.54838 | − | 3.39048i | −0.0501833 | − | 0.109886i | ||||
\(953\) | −7.51160 | + | 2.20560i | −0.243325 | + | 0.0714465i | −0.401121 | − | 0.916025i | \(-0.631379\pi\) |
0.157796 | + | 0.987472i | \(0.449561\pi\) | |||||||
\(954\) | 0.546429 | − | 0.630613i | 0.0176913 | − | 0.0204168i | ||||
\(955\) | −6.10770 | + | 7.04866i | −0.197641 | + | 0.228089i | ||||
\(956\) | 9.35139 | − | 2.74581i | 0.302445 | − | 0.0888060i | ||||
\(957\) | 8.80979 | + | 19.2908i | 0.284780 | + | 0.623582i | ||||
\(958\) | −6.00568 | + | 3.85961i | −0.194035 | + | 0.124698i | ||||
\(959\) | 9.21380 | + | 2.70542i | 0.297529 | + | 0.0873624i | ||||
\(960\) | −0.142315 | − | 0.989821i | −0.00459319 | − | 0.0319463i | ||||
\(961\) | 14.0585 | − | 30.7839i | 0.453501 | − | 0.993030i | ||||
\(962\) | 3.73791 | − | 25.9977i | 0.120515 | − | 0.838200i | ||||
\(963\) | 13.8053 | + | 8.87214i | 0.444870 | + | 0.285901i | ||||
\(964\) | −6.60918 | − | 7.62740i | −0.212867 | − | 0.245662i | ||||
\(965\) | 9.49873 | 0.305775 | ||||||||
\(966\) | 2.70556 | − | 2.82826i | 0.0870500 | − | 0.0909977i | ||||
\(967\) | 32.8462 | 1.05626 | 0.528131 | − | 0.849163i | \(-0.322893\pi\) | ||||
0.528131 | + | 0.849163i | \(0.322893\pi\) | |||||||
\(968\) | 2.71767 | + | 3.13635i | 0.0873491 | + | 0.100806i | ||||
\(969\) | −29.7526 | − | 19.1208i | −0.955790 | − | 0.614249i | ||||
\(970\) | 1.90128 | − | 13.2237i | 0.0610464 | − | 0.424587i | ||||
\(971\) | 24.7066 | − | 54.0999i | 0.792872 | − | 1.73615i | 0.124630 | − | 0.992203i | \(-0.460226\pi\) |
0.668242 | − | 0.743944i | \(-0.267047\pi\) | |||||||
\(972\) | 0.142315 | + | 0.989821i | 0.00456475 | + | 0.0317485i | ||||
\(973\) | −11.6634 | − | 3.42468i | −0.373911 | − | 0.109790i | ||||
\(974\) | −22.7851 | + | 14.6431i | −0.730082 | + | 0.469195i | ||||
\(975\) | −0.992121 | − | 2.17244i | −0.0317733 | − | 0.0695738i | ||||
\(976\) | −5.37810 | + | 1.57915i | −0.172149 | + | 0.0505474i | ||||
\(977\) | 25.6908 | − | 29.6488i | 0.821923 | − | 0.948549i | −0.177444 | − | 0.984131i | \(-0.556783\pi\) |
0.999367 | + | 0.0355816i | \(0.0113284\pi\) | |||||||
\(978\) | −4.05449 | + | 4.67913i | −0.129648 | + | 0.149622i | ||||
\(979\) | 26.4751 | − | 7.77380i | 0.846149 | − | 0.248452i | ||||
\(980\) | 2.63122 | + | 5.76157i | 0.0840512 | + | 0.184046i | ||||
\(981\) | 8.24719 | − | 5.30015i | 0.263312 | − | 0.169221i | ||||
\(982\) | −27.5905 | − | 8.10130i | −0.880448 | − | 0.258523i | ||||
\(983\) | 8.23739 | + | 57.2923i | 0.262732 | + | 1.82734i | 0.512094 | + | 0.858929i | \(0.328870\pi\) |
−0.249362 | + | 0.968410i | \(0.580221\pi\) | |||||||
\(984\) | −1.04394 | + | 2.28592i | −0.0332797 | + | 0.0728724i | ||||
\(985\) | 0.583122 | − | 4.05570i | 0.0185798 | − | 0.129225i | ||||
\(986\) | −31.1321 | − | 20.0074i | −0.991447 | − | 0.637164i | ||||
\(987\) | −1.39129 | − | 1.60564i | −0.0442854 | − | 0.0511080i | ||||
\(988\) | −18.4942 | −0.588380 | ||||||||
\(989\) | −1.57081 | − | 3.94231i | −0.0499487 | − | 0.125358i | ||||
\(990\) | 2.61725 | 0.0831817 | ||||||||
\(991\) | 19.6120 | + | 22.6335i | 0.622996 | + | 0.718976i | 0.976273 | − | 0.216543i | \(-0.0694781\pi\) |
−0.353277 | + | 0.935519i | \(0.614933\pi\) | |||||||
\(992\) | 6.77416 | + | 4.35349i | 0.215080 | + | 0.138223i | ||||
\(993\) | 3.92914 | − | 27.3277i | 0.124687 | − | 0.867220i | ||||
\(994\) | −0.0700343 | + | 0.153354i | −0.00222135 | + | 0.00486408i | ||||
\(995\) | −1.57402 | − | 10.9475i | −0.0498998 | − | 0.347061i | ||||
\(996\) | 0.654406 | + | 0.192151i | 0.0207356 | + | 0.00608853i | ||||
\(997\) | 2.34876 | − | 1.50946i | 0.0743861 | − | 0.0478050i | −0.502919 | − | 0.864333i | \(-0.667741\pi\) |
0.577305 | + | 0.816528i | \(0.304104\pi\) | |||||||
\(998\) | −5.53783 | − | 12.1262i | −0.175297 | − | 0.383847i | ||||
\(999\) | −10.5521 | + | 3.09837i | −0.333853 | + | 0.0980280i |
(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 | 690.2.m.d.151.1 | ✓ | 20 | |
23.16 | even | 11 | inner | 690.2.m.d.361.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.d.151.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.d.361.1 | yes | 20 | 23.16 | even | 11 | inner |