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: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(-0.841254 - 0.540641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.361 |
Dual form | 690.2.m.b.151.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
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 | ||||
\(7\) | 1.88745 | − | 0.554206i | 0.713391 | − | 0.209470i | 0.0951541 | − | 0.995463i | \(-0.469666\pi\) |
0.618236 | + | 0.785992i | \(0.287847\pi\) | |||||||
\(8\) | −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 | ||||
\(11\) | −1.64589 | − | 1.89945i | −0.496253 | − | 0.572707i | 0.451273 | − | 0.892386i | \(-0.350970\pi\) |
−0.947526 | + | 0.319679i | \(0.896425\pi\) | |||||||
\(12\) | −0.654861 | − | 0.755750i | −0.189042 | − | 0.218166i | ||||
\(13\) | 2.73616 | + | 0.803410i | 0.758875 | + | 0.222826i | 0.638205 | − | 0.769867i | \(-0.279677\pi\) |
0.120671 | + | 0.992693i | \(0.461496\pi\) | |||||||
\(14\) | 0.817178 | − | 1.78937i | 0.218400 | − | 0.478229i | ||||
\(15\) | 0.841254 | + | 0.540641i | 0.217211 | + | 0.139593i | ||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | 0.577732 | − | 4.01822i | 0.140121 | − | 0.974561i | −0.791510 | − | 0.611156i | \(-0.790705\pi\) |
0.931631 | − | 0.363405i | \(-0.118386\pi\) | |||||||
\(18\) | −0.415415 | − | 0.909632i | −0.0979143 | − | 0.214402i | ||||
\(19\) | 0.304632 | + | 2.11876i | 0.0698874 | + | 0.486078i | 0.994464 | + | 0.105081i | \(0.0335101\pi\) |
−0.924576 | + | 0.380997i | \(0.875581\pi\) | |||||||
\(20\) | 0.841254 | − | 0.540641i | 0.188110 | − | 0.120891i | ||||
\(21\) | 1.28820 | − | 1.48666i | 0.281108 | − | 0.324416i | ||||
\(22\) | −2.51334 | −0.535845 | ||||||||
\(23\) | 4.06844 | − | 2.53925i | 0.848329 | − | 0.529470i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.654861 | + | 0.755750i | −0.130972 | + | 0.151150i | ||||
\(26\) | 2.39898 | − | 1.54173i | 0.470479 | − | 0.302359i | ||||
\(27\) | −0.142315 | − | 0.989821i | −0.0273885 | − | 0.190491i | ||||
\(28\) | −0.817178 | − | 1.78937i | −0.154432 | − | 0.338159i | ||||
\(29\) | −0.205791 | + | 1.43131i | −0.0382145 | + | 0.265788i | −0.999967 | − | 0.00813256i | \(-0.997411\pi\) |
0.961752 | + | 0.273920i | \(0.0883204\pi\) | |||||||
\(30\) | 0.959493 | − | 0.281733i | 0.175179 | − | 0.0514371i | ||||
\(31\) | −1.35136 | − | 0.868468i | −0.242712 | − | 0.155981i | 0.413630 | − | 0.910445i | \(-0.364261\pi\) |
−0.656342 | + | 0.754464i | \(0.727897\pi\) | |||||||
\(32\) | −0.415415 | + | 0.909632i | −0.0734357 | + | 0.160802i | ||||
\(33\) | −2.41153 | − | 0.708089i | −0.419793 | − | 0.123262i | ||||
\(34\) | −2.65843 | − | 3.06799i | −0.455917 | − | 0.526157i | ||||
\(35\) | 1.28820 | + | 1.48666i | 0.217746 | + | 0.251292i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −1.24533 | + | 2.72688i | −0.204730 | + | 0.448297i | −0.983948 | − | 0.178457i | \(-0.942890\pi\) |
0.779217 | + | 0.626754i | \(0.215617\pi\) | |||||||
\(38\) | 1.80075 | + | 1.15727i | 0.292120 | + | 0.187734i | ||||
\(39\) | 2.73616 | − | 0.803410i | 0.438137 | − | 0.128649i | ||||
\(40\) | 0.142315 | − | 0.989821i | 0.0225020 | − | 0.156505i | ||||
\(41\) | 1.12147 | + | 2.45567i | 0.175144 | + | 0.383512i | 0.976763 | − | 0.214324i | \(-0.0687548\pi\) |
−0.801619 | + | 0.597836i | \(0.796028\pi\) | |||||||
\(42\) | −0.279953 | − | 1.94711i | −0.0431976 | − | 0.300446i | ||||
\(43\) | 5.39867 | − | 3.46951i | 0.823289 | − | 0.529096i | −0.0598497 | − | 0.998207i | \(-0.519062\pi\) |
0.883139 | + | 0.469112i | \(0.155426\pi\) | |||||||
\(44\) | −1.64589 | + | 1.89945i | −0.248127 | + | 0.286353i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 0.745229 | − | 4.73758i | 0.109878 | − | 0.698518i | ||||
\(47\) | −4.91343 | −0.716697 | −0.358348 | − | 0.933588i | \(-0.616660\pi\) | ||||
−0.358348 | + | 0.933588i | \(0.616660\pi\) | |||||||
\(48\) | −0.654861 | + | 0.755750i | −0.0945210 | + | 0.109083i | ||||
\(49\) | −2.63344 | + | 1.69241i | −0.376205 | + | 0.241772i | ||||
\(50\) | 0.142315 | + | 0.989821i | 0.0201264 | + | 0.139982i | ||||
\(51\) | −1.68639 | − | 3.69269i | −0.236142 | − | 0.517079i | ||||
\(52\) | 0.405836 | − | 2.82265i | 0.0562793 | − | 0.391431i | ||||
\(53\) | −2.96653 | + | 0.871053i | −0.407485 | + | 0.119648i | −0.479050 | − | 0.877788i | \(-0.659019\pi\) |
0.0715654 | + | 0.997436i | \(0.477201\pi\) | |||||||
\(54\) | −0.841254 | − | 0.540641i | −0.114480 | − | 0.0735719i | ||||
\(55\) | 1.04408 | − | 2.28621i | 0.140783 | − | 0.308273i | ||||
\(56\) | −1.88745 | − | 0.554206i | −0.252222 | − | 0.0740590i | ||||
\(57\) | 1.40176 | + | 1.61772i | 0.185668 | + | 0.214272i | ||||
\(58\) | 0.946947 | + | 1.09284i | 0.124340 | + | 0.143496i | ||||
\(59\) | −9.29784 | − | 2.73009i | −1.21048 | − | 0.355428i | −0.386626 | − | 0.922237i | \(-0.626360\pi\) |
−0.823849 | + | 0.566809i | \(0.808178\pi\) | |||||||
\(60\) | 0.415415 | − | 0.909632i | 0.0536298 | − | 0.117433i | ||||
\(61\) | 9.75171 | + | 6.26705i | 1.24858 | + | 0.802413i | 0.986679 | − | 0.162682i | \(-0.0520145\pi\) |
0.261900 | + | 0.965095i | \(0.415651\pi\) | |||||||
\(62\) | −1.54130 | + | 0.452566i | −0.195745 | + | 0.0574759i | ||||
\(63\) | 0.279953 | − | 1.94711i | 0.0352707 | − | 0.245313i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | 0.405836 | + | 2.82265i | 0.0503378 | + | 0.350107i | ||||
\(66\) | −2.11435 | + | 1.35881i | −0.260259 | + | 0.167258i | ||||
\(67\) | −9.41747 | + | 10.8683i | −1.15053 | + | 1.32778i | −0.214144 | + | 0.976802i | \(0.568696\pi\) |
−0.936384 | + | 0.350977i | \(0.885849\pi\) | |||||||
\(68\) | −4.05954 | −0.492291 | ||||||||
\(69\) | 2.04977 | − | 4.33572i | 0.246763 | − | 0.521959i | ||||
\(70\) | 1.96714 | 0.235118 | ||||||||
\(71\) | 5.88800 | − | 6.79511i | 0.698777 | − | 0.806432i | −0.289810 | − | 0.957084i | \(-0.593592\pi\) |
0.988587 | + | 0.150653i | \(0.0481375\pi\) | |||||||
\(72\) | −0.841254 | + | 0.540641i | −0.0991427 | + | 0.0637151i | ||||
\(73\) | 0.0635660 | + | 0.442111i | 0.00743984 | + | 0.0517452i | 0.993203 | − | 0.116394i | \(-0.0371334\pi\) |
−0.985763 | + | 0.168139i | \(0.946224\pi\) | |||||||
\(74\) | 1.24533 | + | 2.72688i | 0.144766 | + | 0.316994i | ||||
\(75\) | −0.142315 | + | 0.989821i | −0.0164331 | + | 0.114295i | ||||
\(76\) | 2.05384 | − | 0.603063i | 0.235592 | − | 0.0691761i | ||||
\(77\) | −4.15922 | − | 2.67297i | −0.473987 | − | 0.304613i | ||||
\(78\) | 1.18463 | − | 2.59398i | 0.134133 | − | 0.293710i | ||||
\(79\) | −6.00084 | − | 1.76200i | −0.675147 | − | 0.198241i | −0.0738531 | − | 0.997269i | \(-0.523530\pi\) |
−0.601294 | + | 0.799028i | \(0.705348\pi\) | |||||||
\(80\) | −0.654861 | − | 0.755750i | −0.0732157 | − | 0.0844954i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 2.59028 | + | 0.760574i | 0.286048 | + | 0.0839914i | ||||
\(83\) | −4.66221 | + | 10.2088i | −0.511744 | + | 1.12056i | 0.460728 | + | 0.887541i | \(0.347588\pi\) |
−0.972472 | + | 0.233021i | \(0.925139\pi\) | |||||||
\(84\) | −1.65486 | − | 1.06351i | −0.180560 | − | 0.116039i | ||||
\(85\) | 3.89510 | − | 1.14370i | 0.422483 | − | 0.124052i | ||||
\(86\) | 0.913293 | − | 6.35209i | 0.0984829 | − | 0.684963i | ||||
\(87\) | 0.600702 | + | 1.31535i | 0.0644020 | + | 0.141021i | ||||
\(88\) | 0.357685 | + | 2.48775i | 0.0381294 | + | 0.265196i | ||||
\(89\) | −3.72084 | + | 2.39124i | −0.394408 | + | 0.253471i | −0.722781 | − | 0.691078i | \(-0.757136\pi\) |
0.328372 | + | 0.944548i | \(0.393500\pi\) | |||||||
\(90\) | 0.654861 | − | 0.755750i | 0.0690284 | − | 0.0796630i | ||||
\(91\) | 5.60964 | 0.588050 | ||||||||
\(92\) | −3.09240 | − | 3.66566i | −0.322405 | − | 0.382171i | ||||
\(93\) | −1.60637 | −0.166573 | ||||||||
\(94\) | −3.21761 | + | 3.71332i | −0.331871 | + | 0.383000i | ||||
\(95\) | −1.80075 | + | 1.15727i | −0.184753 | + | 0.118733i | ||||
\(96\) | 0.142315 | + | 0.989821i | 0.0145249 | + | 0.101023i | ||||
\(97\) | 4.10362 | + | 8.98566i | 0.416659 | + | 0.912356i | 0.995306 | + | 0.0967779i | \(0.0308536\pi\) |
−0.578647 | + | 0.815578i | \(0.696419\pi\) | |||||||
\(98\) | −0.445499 | + | 3.09851i | −0.0450021 | + | 0.312997i | ||||
\(99\) | −2.41153 | + | 0.708089i | −0.242368 | + | 0.0711656i | ||||
\(100\) | 0.841254 | + | 0.540641i | 0.0841254 | + | 0.0540641i | ||||
\(101\) | −0.0384591 | + | 0.0842136i | −0.00382682 | + | 0.00837957i | −0.911536 | − | 0.411221i | \(-0.865103\pi\) |
0.907709 | + | 0.419600i | \(0.137830\pi\) | |||||||
\(102\) | −3.89510 | − | 1.14370i | −0.385672 | − | 0.113244i | ||||
\(103\) | 9.26999 | + | 10.6981i | 0.913399 | + | 1.05412i | 0.998332 | + | 0.0577318i | \(0.0183868\pi\) |
−0.0849333 | + | 0.996387i | \(0.527068\pi\) | |||||||
\(104\) | −1.86745 | − | 2.15515i | −0.183119 | − | 0.211330i | ||||
\(105\) | 1.88745 | + | 0.554206i | 0.184197 | + | 0.0540850i | ||||
\(106\) | −1.28437 | + | 2.81237i | −0.124749 | + | 0.273162i | ||||
\(107\) | −0.901853 | − | 0.579586i | −0.0871854 | − | 0.0560307i | 0.496322 | − | 0.868139i | \(-0.334684\pi\) |
−0.583507 | + | 0.812108i | \(0.698320\pi\) | |||||||
\(108\) | −0.959493 | + | 0.281733i | −0.0923273 | + | 0.0271097i | ||||
\(109\) | −1.25605 | + | 8.73601i | −0.120308 | + | 0.836758i | 0.836900 | + | 0.547356i | \(0.184366\pi\) |
−0.957208 | + | 0.289402i | \(0.906543\pi\) | |||||||
\(110\) | −1.04408 | − | 2.28621i | −0.0995489 | − | 0.217982i | ||||
\(111\) | 0.426630 | + | 2.96727i | 0.0404939 | + | 0.281641i | ||||
\(112\) | −1.65486 | + | 1.06351i | −0.156370 | + | 0.100493i | ||||
\(113\) | −3.53375 | + | 4.07817i | −0.332427 | + | 0.383642i | −0.897215 | − | 0.441595i | \(-0.854413\pi\) |
0.564787 | + | 0.825237i | \(0.308958\pi\) | |||||||
\(114\) | 2.14055 | 0.200481 | ||||||||
\(115\) | 3.99987 | + | 2.64594i | 0.372990 | + | 0.246736i | ||||
\(116\) | 1.44603 | 0.134260 | ||||||||
\(117\) | 1.86745 | − | 2.15515i | 0.172646 | − | 0.199244i | ||||
\(118\) | −8.15206 | + | 5.23901i | −0.750458 | + | 0.482290i | ||||
\(119\) | −1.13648 | − | 7.90438i | −0.104181 | − | 0.724594i | ||||
\(120\) | −0.415415 | − | 0.909632i | −0.0379220 | − | 0.0830377i | ||||
\(121\) | 0.666480 | − | 4.63547i | 0.0605891 | − | 0.421406i | ||||
\(122\) | 11.1223 | − | 3.26581i | 1.00697 | − | 0.295673i | ||||
\(123\) | 2.27108 | + | 1.45953i | 0.204776 | + | 0.131602i | ||||
\(124\) | −0.667309 | + | 1.46120i | −0.0599261 | + | 0.131220i | ||||
\(125\) | −0.959493 | − | 0.281733i | −0.0858197 | − | 0.0251989i | ||||
\(126\) | −1.28820 | − | 1.48666i | −0.114762 | − | 0.132442i | ||||
\(127\) | −0.0325683 | − | 0.0375858i | −0.00288997 | − | 0.00333520i | 0.754303 | − | 0.656527i | \(-0.227975\pi\) |
−0.757193 | + | 0.653192i | \(0.773430\pi\) | |||||||
\(128\) | 0.959493 | + | 0.281733i | 0.0848080 | + | 0.0249019i | ||||
\(129\) | 2.66589 | − | 5.83748i | 0.234718 | − | 0.513962i | ||||
\(130\) | 2.39898 | + | 1.54173i | 0.210405 | + | 0.135219i | ||||
\(131\) | 13.2861 | − | 3.90116i | 1.16081 | − | 0.340846i | 0.356065 | − | 0.934461i | \(-0.384118\pi\) |
0.804749 | + | 0.593615i | \(0.202300\pi\) | |||||||
\(132\) | −0.357685 | + | 2.48775i | −0.0311325 | + | 0.216531i | ||||
\(133\) | 1.74921 | + | 3.83024i | 0.151676 | + | 0.332124i | ||||
\(134\) | 2.04661 | + | 14.2345i | 0.176800 | + | 1.22967i | ||||
\(135\) | 0.841254 | − | 0.540641i | 0.0724036 | − | 0.0465310i | ||||
\(136\) | −2.65843 | + | 3.06799i | −0.227959 | + | 0.263078i | ||||
\(137\) | −15.3082 | −1.30786 | −0.653932 | − | 0.756553i | \(-0.726882\pi\) | ||||
−0.653932 | + | 0.756553i | \(0.726882\pi\) | |||||||
\(138\) | −1.93440 | − | 4.38840i | −0.164667 | − | 0.373566i | ||||
\(139\) | 8.14364 | 0.690735 | 0.345367 | − | 0.938468i | \(-0.387754\pi\) | ||||
0.345367 | + | 0.938468i | \(0.387754\pi\) | |||||||
\(140\) | 1.28820 | − | 1.48666i | 0.108873 | − | 0.125646i | ||||
\(141\) | −4.13344 | + | 2.65640i | −0.348098 | + | 0.223709i | ||||
\(142\) | −1.27958 | − | 8.89971i | −0.107380 | − | 0.746847i | ||||
\(143\) | −2.97737 | − | 6.51954i | −0.248980 | − | 0.545191i | ||||
\(144\) | −0.142315 | + | 0.989821i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | −1.38745 | + | 0.407393i | −0.115222 | + | 0.0338322i | ||||
\(146\) | 0.375752 | + | 0.241481i | 0.0310975 | + | 0.0199851i | ||||
\(147\) | −1.30040 | + | 2.84749i | −0.107256 | + | 0.234857i | ||||
\(148\) | 2.87636 | + | 0.844574i | 0.236435 | + | 0.0694236i | ||||
\(149\) | 5.79055 | + | 6.68265i | 0.474380 | + | 0.547464i | 0.941625 | − | 0.336664i | \(-0.109299\pi\) |
−0.467245 | + | 0.884128i | \(0.654753\pi\) | |||||||
\(150\) | 0.654861 | + | 0.755750i | 0.0534692 | + | 0.0617067i | ||||
\(151\) | 2.31541 | + | 0.679867i | 0.188426 | + | 0.0553268i | 0.374584 | − | 0.927193i | \(-0.377786\pi\) |
−0.186158 | + | 0.982520i | \(0.559604\pi\) | |||||||
\(152\) | 0.889217 | − | 1.94711i | 0.0721250 | − | 0.157932i | ||||
\(153\) | −3.41510 | − | 2.19475i | −0.276094 | − | 0.177435i | ||||
\(154\) | −4.74381 | + | 1.39291i | −0.382267 | + | 0.112244i | ||||
\(155\) | 0.228610 | − | 1.59002i | 0.0183624 | − | 0.127713i | ||||
\(156\) | −1.18463 | − | 2.59398i | −0.0948463 | − | 0.207684i | ||||
\(157\) | 2.35009 | + | 16.3452i | 0.187557 | + | 1.30449i | 0.838308 | + | 0.545198i | \(0.183545\pi\) |
−0.650750 | + | 0.759292i | \(0.725546\pi\) | |||||||
\(158\) | −5.26135 | + | 3.38126i | −0.418570 | + | 0.268999i | ||||
\(159\) | −2.02468 | + | 2.33660i | −0.160568 | + | 0.185305i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 6.27173 | − | 7.04747i | 0.494282 | − | 0.555418i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 10.7926 | − | 12.4554i | 0.845345 | − | 0.975580i | −0.154578 | − | 0.987981i | \(-0.549402\pi\) |
0.999923 | + | 0.0124006i | \(0.00394733\pi\) | |||||||
\(164\) | 2.27108 | − | 1.45953i | 0.177341 | − | 0.113970i | ||||
\(165\) | −0.357685 | − | 2.48775i | −0.0278458 | − | 0.193671i | ||||
\(166\) | 4.66221 | + | 10.2088i | 0.361857 | + | 0.792357i | ||||
\(167\) | −0.409550 | + | 2.84848i | −0.0316919 | + | 0.220422i | −0.999513 | − | 0.0312189i | \(-0.990061\pi\) |
0.967821 | + | 0.251641i | \(0.0809702\pi\) | |||||||
\(168\) | −1.88745 | + | 0.554206i | −0.145620 | + | 0.0427580i | ||||
\(169\) | −4.09517 | − | 2.63181i | −0.315013 | − | 0.202447i | ||||
\(170\) | 1.68639 | − | 3.69269i | 0.129340 | − | 0.283216i | ||||
\(171\) | 2.05384 | + | 0.603063i | 0.157061 | + | 0.0461174i | ||||
\(172\) | −4.20251 | − | 4.84995i | −0.320438 | − | 0.369806i | ||||
\(173\) | −0.356985 | − | 0.411983i | −0.0271411 | − | 0.0313225i | 0.742017 | − | 0.670381i | \(-0.233869\pi\) |
−0.769158 | + | 0.639059i | \(0.779324\pi\) | |||||||
\(174\) | 1.38745 | + | 0.407393i | 0.105183 | + | 0.0308844i | ||||
\(175\) | −0.817178 | + | 1.78937i | −0.0617729 | + | 0.135264i | ||||
\(176\) | 2.11435 | + | 1.35881i | 0.159375 | + | 0.102424i | ||||
\(177\) | −9.29784 | + | 2.73009i | −0.698868 | + | 0.205206i | ||||
\(178\) | −0.629454 | + | 4.37795i | −0.0471796 | + | 0.328141i | ||||
\(179\) | 0.600515 | + | 1.31494i | 0.0448846 | + | 0.0982835i | 0.930746 | − | 0.365667i | \(-0.119159\pi\) |
−0.885861 | + | 0.463950i | \(0.846432\pi\) | |||||||
\(180\) | −0.142315 | − | 0.989821i | −0.0106075 | − | 0.0737769i | ||||
\(181\) | −0.0937851 | + | 0.0602721i | −0.00697100 | + | 0.00447999i | −0.544122 | − | 0.839006i | \(-0.683137\pi\) |
0.537151 | + | 0.843486i | \(0.319501\pi\) | |||||||
\(182\) | 3.67353 | − | 4.23948i | 0.272300 | − | 0.314251i | ||||
\(183\) | 11.5919 | 0.856897 | ||||||||
\(184\) | −4.79541 | − | 0.0634158i | −0.353522 | − | 0.00467508i | ||||
\(185\) | −2.99779 | −0.220402 | ||||||||
\(186\) | −1.05195 | + | 1.21401i | −0.0771325 | + | 0.0890156i | ||||
\(187\) | −8.58330 | + | 5.51615i | −0.627673 | + | 0.403381i | ||||
\(188\) | 0.699253 | + | 4.86341i | 0.0509983 | + | 0.354701i | ||||
\(189\) | −0.817178 | − | 1.78937i | −0.0594410 | − | 0.130158i | ||||
\(190\) | −0.304632 | + | 2.11876i | −0.0221003 | + | 0.153711i | ||||
\(191\) | 0.226602 | − | 0.0665362i | 0.0163963 | − | 0.00481439i | −0.273524 | − | 0.961865i | \(-0.588189\pi\) |
0.289920 | + | 0.957051i | \(0.406371\pi\) | |||||||
\(192\) | 0.841254 | + | 0.540641i | 0.0607122 | + | 0.0390174i | ||||
\(193\) | −4.07299 | + | 8.91860i | −0.293180 | + | 0.641975i | −0.997705 | − | 0.0677038i | \(-0.978433\pi\) |
0.704525 | + | 0.709679i | \(0.251160\pi\) | |||||||
\(194\) | 9.47821 | + | 2.78305i | 0.680496 | + | 0.199812i | ||||
\(195\) | 1.86745 | + | 2.15515i | 0.133731 | + | 0.154334i | ||||
\(196\) | 2.04996 | + | 2.36578i | 0.146426 | + | 0.168984i | ||||
\(197\) | −18.1929 | − | 5.34192i | −1.29619 | − | 0.380596i | −0.440346 | − | 0.897828i | \(-0.645144\pi\) |
−0.855845 | + | 0.517232i | \(0.826963\pi\) | |||||||
\(198\) | −1.04408 | + | 2.28621i | −0.0741994 | + | 0.162474i | ||||
\(199\) | −8.89454 | − | 5.71618i | −0.630517 | − | 0.405209i | 0.185984 | − | 0.982553i | \(-0.440453\pi\) |
−0.816501 | + | 0.577344i | \(0.804089\pi\) | |||||||
\(200\) | 0.959493 | − | 0.281733i | 0.0678464 | − | 0.0199215i | ||||
\(201\) | −2.04661 | + | 14.2345i | −0.144357 | + | 1.00402i | ||||
\(202\) | 0.0384591 | + | 0.0842136i | 0.00270597 | + | 0.00592525i | ||||
\(203\) | 0.404820 | + | 2.81558i | 0.0284128 | + | 0.197615i | ||||
\(204\) | −3.41510 | + | 2.19475i | −0.239105 | + | 0.153663i | ||||
\(205\) | −1.76788 | + | 2.04025i | −0.123474 | + | 0.142497i | ||||
\(206\) | 14.1557 | 0.986272 | ||||||||
\(207\) | −0.619688 | − | 4.75563i | −0.0430713 | − | 0.330539i | ||||
\(208\) | −2.85168 | −0.197728 | ||||||||
\(209\) | 3.52310 | − | 4.06588i | 0.243698 | − | 0.281243i | ||||
\(210\) | 1.65486 | − | 1.06351i | 0.114196 | − | 0.0733895i | ||||
\(211\) | 1.00732 | + | 7.00604i | 0.0693465 | + | 0.482316i | 0.994668 | + | 0.103131i | \(0.0328862\pi\) |
−0.925321 | + | 0.379184i | \(0.876205\pi\) | |||||||
\(212\) | 1.28437 | + | 2.81237i | 0.0882108 | + | 0.193155i | ||||
\(213\) | 1.27958 | − | 8.89971i | 0.0876757 | − | 0.609798i | ||||
\(214\) | −1.02861 | + | 0.302027i | −0.0703143 | + | 0.0206461i | ||||
\(215\) | 5.39867 | + | 3.46951i | 0.368186 | + | 0.236619i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | −3.03194 | − | 0.890259i | −0.205822 | − | 0.0604347i | ||||
\(218\) | 5.77970 | + | 6.67013i | 0.391451 | + | 0.451758i | ||||
\(219\) | 0.292499 | + | 0.337561i | 0.0197652 | + | 0.0228103i | ||||
\(220\) | −2.41153 | − | 0.708089i | −0.162585 | − | 0.0477393i | ||||
\(221\) | 4.80905 | − | 10.5303i | 0.323492 | − | 0.708348i | ||||
\(222\) | 2.52190 | + | 1.62073i | 0.169259 | + | 0.108776i | ||||
\(223\) | 13.3086 | − | 3.90775i | 0.891208 | − | 0.261682i | 0.196097 | − | 0.980584i | \(-0.437173\pi\) |
0.695111 | + | 0.718902i | \(0.255355\pi\) | |||||||
\(224\) | −0.279953 | + | 1.94711i | −0.0187051 | + | 0.130097i | ||||
\(225\) | 0.415415 | + | 0.909632i | 0.0276943 | + | 0.0606421i | ||||
\(226\) | 0.767958 | + | 5.34126i | 0.0510838 | + | 0.355296i | ||||
\(227\) | −10.6342 | + | 6.83417i | −0.705815 | + | 0.453600i | −0.843677 | − | 0.536852i | \(-0.819613\pi\) |
0.137862 | + | 0.990452i | \(0.455977\pi\) | |||||||
\(228\) | 1.40176 | − | 1.61772i | 0.0928340 | − | 0.107136i | ||||
\(229\) | −13.7543 | −0.908912 | −0.454456 | − | 0.890769i | \(-0.650166\pi\) | ||||
−0.454456 | + | 0.890769i | \(0.650166\pi\) | |||||||
\(230\) | 4.61903 | − | 1.29018i | 0.304570 | − | 0.0850717i | ||||
\(231\) | −4.94408 | −0.325296 | ||||||||
\(232\) | 0.946947 | − | 1.09284i | 0.0621701 | − | 0.0717481i | ||||
\(233\) | −18.8121 | + | 12.0898i | −1.23242 | + | 0.792027i | −0.984266 | − | 0.176693i | \(-0.943460\pi\) |
−0.248153 | + | 0.968721i | \(0.579824\pi\) | |||||||
\(234\) | −0.405836 | − | 2.82265i | −0.0265303 | − | 0.184522i | ||||
\(235\) | −2.04111 | − | 4.46941i | −0.133147 | − | 0.291552i | ||||
\(236\) | −1.37908 | + | 9.59173i | −0.0897707 | + | 0.624369i | ||||
\(237\) | −6.00084 | + | 1.76200i | −0.389796 | + | 0.114454i | ||||
\(238\) | −6.71797 | − | 4.31738i | −0.435461 | − | 0.279854i | ||||
\(239\) | 11.3370 | − | 24.8246i | 0.733330 | − | 1.60577i | −0.0608956 | − | 0.998144i | \(-0.519396\pi\) |
0.794225 | − | 0.607624i | \(-0.207877\pi\) | |||||||
\(240\) | −0.959493 | − | 0.281733i | −0.0619350 | − | 0.0181858i | ||||
\(241\) | 4.52346 | + | 5.22035i | 0.291381 | + | 0.336272i | 0.882500 | − | 0.470313i | \(-0.155859\pi\) |
−0.591118 | + | 0.806585i | \(0.701313\pi\) | |||||||
\(242\) | −3.06680 | − | 3.53928i | −0.197142 | − | 0.227513i | ||||
\(243\) | −0.959493 | − | 0.281733i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | 4.81544 | − | 10.5443i | 0.308277 | − | 0.675033i | ||||
\(245\) | −2.63344 | − | 1.69241i | −0.168244 | − | 0.108124i | ||||
\(246\) | 2.59028 | − | 0.760574i | 0.165150 | − | 0.0484924i | ||||
\(247\) | −0.868713 | + | 6.04203i | −0.0552749 | + | 0.384445i | ||||
\(248\) | 0.667309 | + | 1.46120i | 0.0423742 | + | 0.0927865i | ||||
\(249\) | 1.59720 | + | 11.1088i | 0.101218 | + | 0.703990i | ||||
\(250\) | −0.841254 | + | 0.540641i | −0.0532055 | + | 0.0341931i | ||||
\(251\) | 16.9097 | − | 19.5148i | 1.06733 | − | 1.23176i | 0.0956608 | − | 0.995414i | \(-0.469504\pi\) |
0.971668 | − | 0.236349i | \(-0.0759510\pi\) | |||||||
\(252\) | −1.96714 | −0.123918 | ||||||||
\(253\) | −11.5194 | − | 3.54851i | −0.724217 | − | 0.223093i | ||||
\(254\) | −0.0497332 | −0.00312054 | ||||||||
\(255\) | 2.65843 | − | 3.06799i | 0.166477 | − | 0.192125i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 1.47641 | + | 10.2686i | 0.0920956 | + | 0.640539i | 0.982623 | + | 0.185610i | \(0.0594262\pi\) |
−0.890528 | + | 0.454929i | \(0.849665\pi\) | |||||||
\(258\) | −2.66589 | − | 5.83748i | −0.165971 | − | 0.363426i | ||||
\(259\) | −0.839239 | + | 5.83704i | −0.0521478 | + | 0.362696i | ||||
\(260\) | 2.73616 | − | 0.803410i | 0.169690 | − | 0.0498254i | ||||
\(261\) | 1.21648 | + | 0.781782i | 0.0752980 | + | 0.0483911i | ||||
\(262\) | 5.75226 | − | 12.5957i | 0.355376 | − | 0.778165i | ||||
\(263\) | −21.3011 | − | 6.25456i | −1.31348 | − | 0.385673i | −0.451344 | − | 0.892350i | \(-0.649055\pi\) |
−0.862136 | + | 0.506677i | \(0.830874\pi\) | |||||||
\(264\) | 1.64589 | + | 1.89945i | 0.101297 | + | 0.116903i | ||||
\(265\) | −2.02468 | − | 2.33660i | −0.124375 | − | 0.143536i | ||||
\(266\) | 4.04019 | + | 1.18631i | 0.247720 | + | 0.0727372i | ||||
\(267\) | −1.83737 | + | 4.02327i | −0.112445 | + | 0.246220i | ||||
\(268\) | 12.0980 | + | 7.77489i | 0.739001 | + | 0.474927i | ||||
\(269\) | 7.08207 | − | 2.07948i | 0.431801 | − | 0.126788i | −0.0586069 | − | 0.998281i | \(-0.518666\pi\) |
0.490408 | + | 0.871493i | \(0.336848\pi\) | |||||||
\(270\) | 0.142315 | − | 0.989821i | 0.00866101 | − | 0.0602386i | ||||
\(271\) | −6.40845 | − | 14.0325i | −0.389285 | − | 0.852416i | −0.998245 | − | 0.0592151i | \(-0.981140\pi\) |
0.608960 | − | 0.793201i | \(-0.291587\pi\) | |||||||
\(272\) | 0.577732 | + | 4.01822i | 0.0350302 | + | 0.243640i | ||||
\(273\) | 4.71913 | − | 3.03280i | 0.285615 | − | 0.183553i | ||||
\(274\) | −10.0247 | + | 11.5691i | −0.605615 | + | 0.698917i | ||||
\(275\) | 2.51334 | 0.151560 | ||||||||
\(276\) | −4.58330 | − | 1.41187i | −0.275882 | − | 0.0849846i | ||||
\(277\) | −17.6156 | −1.05842 | −0.529210 | − | 0.848491i | \(-0.677511\pi\) | ||||
−0.529210 | + | 0.848491i | \(0.677511\pi\) | |||||||
\(278\) | 5.33295 | − | 6.15456i | 0.319849 | − | 0.369126i | ||||
\(279\) | −1.35136 | + | 0.868468i | −0.0809039 | + | 0.0519938i | ||||
\(280\) | −0.279953 | − | 1.94711i | −0.0167304 | − | 0.116362i | ||||
\(281\) | 7.22670 | + | 15.8243i | 0.431109 | + | 0.943996i | 0.993146 | + | 0.116884i | \(0.0372906\pi\) |
−0.562037 | + | 0.827112i | \(0.689982\pi\) | |||||||
\(282\) | −0.699253 | + | 4.86341i | −0.0416399 | + | 0.289612i | ||||
\(283\) | 30.8268 | − | 9.05157i | 1.83246 | − | 0.538060i | 0.832589 | − | 0.553891i | \(-0.186858\pi\) |
0.999875 | + | 0.0158315i | \(0.00503952\pi\) | |||||||
\(284\) | −7.56390 | − | 4.86102i | −0.448835 | − | 0.288449i | ||||
\(285\) | −0.889217 | + | 1.94711i | −0.0526727 | + | 0.115337i | ||||
\(286\) | −6.87690 | − | 2.01924i | −0.406640 | − | 0.119400i | ||||
\(287\) | 3.47767 | + | 4.01344i | 0.205280 | + | 0.236906i | ||||
\(288\) | 0.654861 | + | 0.755750i | 0.0385880 | + | 0.0445330i | ||||
\(289\) | 0.499086 | + | 0.146545i | 0.0293580 | + | 0.00862028i | ||||
\(290\) | −0.600702 | + | 1.31535i | −0.0352744 | + | 0.0772402i | ||||
\(291\) | 8.31020 | + | 5.34064i | 0.487152 | + | 0.313074i | ||||
\(292\) | 0.428565 | − | 0.125838i | 0.0250799 | − | 0.00736411i | ||||
\(293\) | −0.918692 | + | 6.38964i | −0.0536706 | + | 0.373287i | 0.945230 | + | 0.326405i | \(0.105837\pi\) |
−0.998900 | + | 0.0468816i | \(0.985072\pi\) | |||||||
\(294\) | 1.30040 | + | 2.84749i | 0.0758411 | + | 0.166069i | ||||
\(295\) | −1.37908 | − | 9.59173i | −0.0802933 | − | 0.558452i | ||||
\(296\) | 2.52190 | − | 1.62073i | 0.146582 | − | 0.0942028i | ||||
\(297\) | −1.64589 | + | 1.89945i | −0.0955040 | + | 0.110217i | ||||
\(298\) | 8.84241 | 0.512227 | ||||||||
\(299\) | 13.1720 | − | 3.67917i | 0.761755 | − | 0.212772i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | 8.26691 | − | 9.54052i | 0.476497 | − | 0.549907i | ||||
\(302\) | 2.03008 | − | 1.30466i | 0.116818 | − | 0.0750745i | ||||
\(303\) | 0.0131755 | + | 0.0916376i | 0.000756912 | + | 0.00526444i | ||||
\(304\) | −0.889217 | − | 1.94711i | −0.0510001 | − | 0.111675i | ||||
\(305\) | −1.64970 | + | 11.4739i | −0.0944614 | + | 0.656993i | ||||
\(306\) | −3.89510 | + | 1.14370i | −0.222668 | + | 0.0653812i | ||||
\(307\) | −26.1751 | − | 16.8217i | −1.49389 | − | 0.960067i | −0.995664 | − | 0.0930218i | \(-0.970347\pi\) |
−0.498229 | − | 0.867045i | \(-0.666016\pi\) | |||||||
\(308\) | −2.05384 | + | 4.49729i | −0.117029 | + | 0.256257i | ||||
\(309\) | 13.5823 | + | 3.98811i | 0.772668 | + | 0.226876i | ||||
\(310\) | −1.05195 | − | 1.21401i | −0.0597466 | − | 0.0689512i | ||||
\(311\) | −10.0490 | − | 11.5972i | −0.569826 | − | 0.657614i | 0.395560 | − | 0.918440i | \(-0.370551\pi\) |
−0.965386 | + | 0.260826i | \(0.916005\pi\) | |||||||
\(312\) | −2.73616 | − | 0.803410i | −0.154905 | − | 0.0454841i | ||||
\(313\) | 8.87616 | − | 19.4361i | 0.501710 | − | 1.09859i | −0.474199 | − | 0.880417i | \(-0.657262\pi\) |
0.975910 | − | 0.218175i | \(-0.0700103\pi\) | |||||||
\(314\) | 13.8919 | + | 8.92776i | 0.783963 | + | 0.503822i | ||||
\(315\) | 1.88745 | − | 0.554206i | 0.106346 | − | 0.0312260i | ||||
\(316\) | −0.890062 | + | 6.19051i | −0.0500699 | + | 0.348244i | ||||
\(317\) | −5.91583 | − | 12.9539i | −0.332266 | − | 0.727562i | 0.667590 | − | 0.744529i | \(-0.267326\pi\) |
−0.999856 | + | 0.0169676i | \(0.994599\pi\) | |||||||
\(318\) | 0.440005 | + | 3.06030i | 0.0246742 | + | 0.171613i | ||||
\(319\) | 3.05742 | − | 1.96488i | 0.171182 | − | 0.110012i | ||||
\(320\) | −0.654861 | + | 0.755750i | −0.0366078 | + | 0.0422477i | ||||
\(321\) | −1.07203 | −0.0598351 | ||||||||
\(322\) | −1.21901 | − | 9.35497i | −0.0679328 | − | 0.521332i | ||||
\(323\) | 8.68965 | 0.483505 | ||||||||
\(324\) | −0.654861 | + | 0.755750i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | −2.39898 | + | 1.54173i | −0.133072 | + | 0.0855200i | ||||
\(326\) | −2.34546 | − | 16.3131i | −0.129903 | − | 0.903497i | ||||
\(327\) | 3.66639 | + | 8.02827i | 0.202752 | + | 0.443965i | ||||
\(328\) | 0.384198 | − | 2.67215i | 0.0212138 | − | 0.147545i | ||||
\(329\) | −9.27387 | + | 2.72305i | −0.511285 | + | 0.150127i | ||||
\(330\) | −2.11435 | − | 1.35881i | −0.116391 | − | 0.0748002i | ||||
\(331\) | −4.82986 | + | 10.5759i | −0.265473 | + | 0.581305i | −0.994683 | − | 0.102985i | \(-0.967161\pi\) |
0.729210 | + | 0.684290i | \(0.239888\pi\) | |||||||
\(332\) | 10.7684 | + | 3.16189i | 0.590993 | + | 0.173531i | ||||
\(333\) | 1.96313 | + | 2.26558i | 0.107579 | + | 0.124153i | ||||
\(334\) | 1.88454 | + | 2.17488i | 0.103117 | + | 0.119004i | ||||
\(335\) | −13.7984 | − | 4.05156i | −0.753885 | − | 0.221360i | ||||
\(336\) | −0.817178 | + | 1.78937i | −0.0445807 | + | 0.0976182i | ||||
\(337\) | 7.09470 | + | 4.55948i | 0.386473 | + | 0.248371i | 0.719421 | − | 0.694574i | \(-0.244407\pi\) |
−0.332948 | + | 0.942945i | \(0.608044\pi\) | |||||||
\(338\) | −4.67075 | + | 1.37146i | −0.254055 | + | 0.0745974i | ||||
\(339\) | −0.767958 | + | 5.34126i | −0.0417097 | + | 0.290098i | ||||
\(340\) | −1.68639 | − | 3.69269i | −0.0914575 | − | 0.200264i | ||||
\(341\) | 0.574574 | + | 3.99625i | 0.0311149 | + | 0.216409i | ||||
\(342\) | 1.80075 | − | 1.15727i | 0.0973732 | − | 0.0625780i | ||||
\(343\) | −13.0500 | + | 15.0604i | −0.704631 | + | 0.813188i | ||||
\(344\) | −6.41741 | −0.346004 | ||||||||
\(345\) | 4.79541 | + | 0.0634158i | 0.258176 | + | 0.00341419i | ||||
\(346\) | −0.545132 | −0.0293065 | ||||||||
\(347\) | 22.5133 | − | 25.9817i | 1.20858 | − | 1.39477i | 0.313064 | − | 0.949732i | \(-0.398645\pi\) |
0.895512 | − | 0.445038i | \(-0.146810\pi\) | |||||||
\(348\) | 1.21648 | − | 0.781782i | 0.0652100 | − | 0.0419079i | ||||
\(349\) | −4.59413 | − | 31.9529i | −0.245918 | − | 1.71040i | −0.621338 | − | 0.783543i | \(-0.713411\pi\) |
0.375420 | − | 0.926855i | \(-0.377498\pi\) | |||||||
\(350\) | 0.817178 | + | 1.78937i | 0.0436800 | + | 0.0956459i | ||||
\(351\) | 0.405836 | − | 2.82265i | 0.0216619 | − | 0.150662i | ||||
\(352\) | 2.41153 | − | 0.708089i | 0.128535 | − | 0.0377413i | ||||
\(353\) | −25.7006 | − | 16.5168i | −1.36791 | − | 0.879100i | −0.369171 | − | 0.929362i | \(-0.620358\pi\) |
−0.998736 | + | 0.0502612i | \(0.983995\pi\) | |||||||
\(354\) | −4.02552 | + | 8.81467i | −0.213954 | + | 0.468494i | ||||
\(355\) | 8.62702 | + | 2.53312i | 0.457875 | + | 0.134444i | ||||
\(356\) | 2.89643 | + | 3.34266i | 0.153510 | + | 0.177160i | ||||
\(357\) | −5.22950 | − | 6.03516i | −0.276774 | − | 0.319415i | ||||
\(358\) | 1.38702 | + | 0.407266i | 0.0733064 | + | 0.0215247i | ||||
\(359\) | 11.9935 | − | 26.2620i | 0.632990 | − | 1.38606i | −0.272693 | − | 0.962101i | \(-0.587914\pi\) |
0.905683 | − | 0.423955i | \(-0.139358\pi\) | |||||||
\(360\) | −0.841254 | − | 0.540641i | −0.0443380 | − | 0.0284943i | ||||
\(361\) | 13.8340 | − | 4.06203i | 0.728106 | − | 0.213791i | ||||
\(362\) | −0.0158656 | + | 0.110348i | −0.000833879 | + | 0.00579976i | ||||
\(363\) | −1.94545 | − | 4.25993i | −0.102109 | − | 0.223588i | ||||
\(364\) | −0.798335 | − | 5.55254i | −0.0418441 | − | 0.291032i | ||||
\(365\) | −0.375752 | + | 0.241481i | −0.0196678 | + | 0.0126397i | ||||
\(366\) | 7.59107 | − | 8.76056i | 0.396792 | − | 0.457922i | ||||
\(367\) | −7.16955 | −0.374248 | −0.187124 | − | 0.982336i | \(-0.559917\pi\) | ||||
−0.187124 | + | 0.982336i | \(0.559917\pi\) | |||||||
\(368\) | −3.18825 | + | 3.58260i | −0.166199 | + | 0.186756i | ||||
\(369\) | 2.69963 | 0.140537 | ||||||||
\(370\) | −1.96313 | + | 2.26558i | −0.102058 | + | 0.117782i | ||||
\(371\) | −5.11645 | + | 3.28814i | −0.265633 | + | 0.170712i | ||||
\(372\) | 0.228610 | + | 1.59002i | 0.0118529 | + | 0.0824385i | ||||
\(373\) | −13.0762 | − | 28.6328i | −0.677058 | − | 1.48255i | −0.865731 | − | 0.500510i | \(-0.833146\pi\) |
0.188673 | − | 0.982040i | \(-0.439581\pi\) | |||||||
\(374\) | −1.45204 | + | 10.0991i | −0.0750830 | + | 0.522214i | ||||
\(375\) | −0.959493 | + | 0.281733i | −0.0495480 | + | 0.0145486i | ||||
\(376\) | 4.13344 | + | 2.65640i | 0.213166 | + | 0.136993i | ||||
\(377\) | −1.71301 | + | 3.75096i | −0.0882244 | + | 0.193184i | ||||
\(378\) | −1.88745 | − | 0.554206i | −0.0970802 | − | 0.0285053i | ||||
\(379\) | −0.231969 | − | 0.267707i | −0.0119155 | − | 0.0137512i | 0.749761 | − | 0.661709i | \(-0.230169\pi\) |
−0.761676 | + | 0.647958i | \(0.775623\pi\) | |||||||
\(380\) | 1.40176 | + | 1.61772i | 0.0719089 | + | 0.0829873i | ||||
\(381\) | −0.0477186 | − | 0.0140115i | −0.00244470 | − | 0.000717829i | ||||
\(382\) | 0.0981077 | − | 0.214826i | 0.00501963 | − | 0.0109915i | ||||
\(383\) | −13.3285 | − | 8.56568i | −0.681052 | − | 0.437686i | 0.153842 | − | 0.988095i | \(-0.450835\pi\) |
−0.834895 | + | 0.550410i | \(0.814472\pi\) | |||||||
\(384\) | 0.959493 | − | 0.281733i | 0.0489639 | − | 0.0143771i | ||||
\(385\) | 0.703616 | − | 4.89375i | 0.0358596 | − | 0.249409i | ||||
\(386\) | 4.07299 | + | 8.91860i | 0.207310 | + | 0.453945i | ||||
\(387\) | −0.913293 | − | 6.35209i | −0.0464253 | − | 0.322895i | ||||
\(388\) | 8.31020 | − | 5.34064i | 0.421886 | − | 0.271130i | ||||
\(389\) | −14.7082 | + | 16.9741i | −0.745733 | + | 0.860622i | −0.994147 | − | 0.108032i | \(-0.965545\pi\) |
0.248414 | + | 0.968654i | \(0.420091\pi\) | |||||||
\(390\) | 2.85168 | 0.144400 | ||||||||
\(391\) | −7.85277 | − | 17.8149i | −0.397132 | − | 0.900938i | ||||
\(392\) | 3.13037 | 0.158108 | ||||||||
\(393\) | 9.06788 | − | 10.4649i | 0.457414 | − | 0.527884i | ||||
\(394\) | −15.9510 | + | 10.2511i | −0.803599 | + | 0.516442i | ||||
\(395\) | −0.890062 | − | 6.19051i | −0.0447839 | − | 0.311479i | ||||
\(396\) | 1.04408 | + | 2.28621i | 0.0524669 | + | 0.114886i | ||||
\(397\) | 0.513887 | − | 3.57416i | 0.0257912 | − | 0.179382i | −0.972854 | − | 0.231420i | \(-0.925663\pi\) |
0.998645 | + | 0.0520384i | \(0.0165718\pi\) | |||||||
\(398\) | −10.1447 | + | 2.97875i | −0.508507 | + | 0.149311i | ||||
\(399\) | 3.54231 | + | 2.27651i | 0.177338 | + | 0.113968i | ||||
\(400\) | 0.415415 | − | 0.909632i | 0.0207708 | − | 0.0454816i | ||||
\(401\) | 8.33559 | + | 2.44755i | 0.416260 | + | 0.122225i | 0.483154 | − | 0.875535i | \(-0.339491\pi\) |
−0.0668947 | + | 0.997760i | \(0.521309\pi\) | |||||||
\(402\) | 9.41747 | + | 10.8683i | 0.469701 | + | 0.542064i | ||||
\(403\) | −2.99981 | − | 3.46197i | −0.149431 | − | 0.172453i | ||||
\(404\) | 0.0888298 | + | 0.0260828i | 0.00441945 | + | 0.00129767i | ||||
\(405\) | 0.415415 | − | 0.909632i | 0.0206421 | − | 0.0452000i | ||||
\(406\) | 2.39298 | + | 1.53787i | 0.118761 | + | 0.0763233i | ||||
\(407\) | 7.22925 | − | 2.12270i | 0.358341 | − | 0.105218i | ||||
\(408\) | −0.577732 | + | 4.01822i | −0.0286020 | + | 0.198931i | ||||
\(409\) | −5.65619 | − | 12.3853i | −0.279680 | − | 0.612415i | 0.716704 | − | 0.697378i | \(-0.245650\pi\) |
−0.996384 | + | 0.0849632i | \(0.972923\pi\) | |||||||
\(410\) | 0.384198 | + | 2.67215i | 0.0189742 | + | 0.131968i | ||||
\(411\) | −12.8780 | + | 8.27622i | −0.635227 | + | 0.408236i | ||||
\(412\) | 9.26999 | − | 10.6981i | 0.456699 | − | 0.527059i | ||||
\(413\) | −19.0623 | −0.937993 | ||||||||
\(414\) | −3.99987 | − | 2.64594i | −0.196583 | − | 0.130041i | ||||
\(415\) | −11.2230 | −0.550916 | ||||||||
\(416\) | −1.86745 | + | 2.15515i | −0.0915593 | + | 0.105665i | ||||
\(417\) | 6.85087 | − | 4.40279i | 0.335488 | − | 0.215605i | ||||
\(418\) | −0.765644 | − | 5.32517i | −0.0374488 | − | 0.260462i | ||||
\(419\) | 5.15085 | + | 11.2788i | 0.251635 | + | 0.551005i | 0.992725 | − | 0.120401i | \(-0.0384181\pi\) |
−0.741090 | + | 0.671406i | \(0.765691\pi\) | |||||||
\(420\) | 0.279953 | − | 1.94711i | 0.0136603 | − | 0.0950094i | ||||
\(421\) | 7.05640 | − | 2.07194i | 0.343908 | − | 0.100980i | −0.105218 | − | 0.994449i | \(-0.533554\pi\) |
0.449125 | + | 0.893469i | \(0.351736\pi\) | |||||||
\(422\) | 5.95446 | + | 3.82670i | 0.289859 | + | 0.186281i | ||||
\(423\) | −2.04111 | + | 4.46941i | −0.0992422 | + | 0.217310i | ||||
\(424\) | 2.96653 | + | 0.871053i | 0.144068 | + | 0.0423021i | ||||
\(425\) | 2.65843 | + | 3.06799i | 0.128953 | + | 0.148820i | ||||
\(426\) | −5.88800 | − | 6.79511i | −0.285275 | − | 0.329224i | ||||
\(427\) | 21.8791 | + | 6.42430i | 1.05881 | + | 0.310894i | ||||
\(428\) | −0.445339 | + | 0.975157i | −0.0215263 | + | 0.0471360i | ||||
\(429\) | −6.02945 | − | 3.87489i | −0.291105 | − | 0.187082i | ||||
\(430\) | 6.15746 | − | 1.80799i | 0.296939 | − | 0.0871892i | ||||
\(431\) | −0.261508 | + | 1.81883i | −0.0125964 | + | 0.0876099i | −0.995150 | − | 0.0983704i | \(-0.968637\pi\) |
0.982553 | + | 0.185980i | \(0.0595461\pi\) | |||||||
\(432\) | 0.415415 | + | 0.909632i | 0.0199867 | + | 0.0437647i | ||||
\(433\) | −3.82137 | − | 26.5782i | −0.183643 | − | 1.27727i | −0.848058 | − | 0.529903i | \(-0.822228\pi\) |
0.664415 | − | 0.747364i | \(-0.268681\pi\) | |||||||
\(434\) | −2.65831 | + | 1.70839i | −0.127603 | + | 0.0820056i | ||||
\(435\) | −0.946947 | + | 1.09284i | −0.0454026 | + | 0.0523974i | ||||
\(436\) | 8.82585 | 0.422682 | ||||||||
\(437\) | 6.61944 | + | 7.84653i | 0.316651 | + | 0.375351i | ||||
\(438\) | 0.446658 | 0.0213421 | ||||||||
\(439\) | −0.222539 | + | 0.256824i | −0.0106212 | + | 0.0122576i | −0.761035 | − | 0.648710i | \(-0.775309\pi\) |
0.750414 | + | 0.660968i | \(0.229854\pi\) | |||||||
\(440\) | −2.11435 | + | 1.35881i | −0.100798 | + | 0.0647788i | ||||
\(441\) | 0.445499 | + | 3.09851i | 0.0212142 | + | 0.147548i | ||||
\(442\) | −4.80905 | − | 10.5303i | −0.228743 | − | 0.500877i | ||||
\(443\) | −3.61843 | + | 25.1667i | −0.171917 | + | 1.19571i | 0.702913 | + | 0.711276i | \(0.251882\pi\) |
−0.874830 | + | 0.484431i | \(0.839027\pi\) | |||||||
\(444\) | 2.87636 | − | 0.844574i | 0.136506 | − | 0.0400817i | ||||
\(445\) | −3.72084 | − | 2.39124i | −0.176385 | − | 0.113356i | ||||
\(446\) | 5.76199 | − | 12.6170i | 0.272838 | − | 0.597432i | ||||
\(447\) | 8.48423 | + | 2.49120i | 0.401290 | + | 0.117829i | ||||
\(448\) | 1.28820 | + | 1.48666i | 0.0608618 | + | 0.0702382i | ||||
\(449\) | 10.7471 | + | 12.4029i | 0.507189 | + | 0.585327i | 0.950377 | − | 0.311102i | \(-0.100698\pi\) |
−0.443188 | + | 0.896429i | \(0.646153\pi\) | |||||||
\(450\) | 0.959493 | + | 0.281733i | 0.0452309 | + | 0.0132810i | ||||
\(451\) | 2.81863 | − | 6.17193i | 0.132724 | − | 0.290625i | ||||
\(452\) | 4.53956 | + | 2.91740i | 0.213523 | + | 0.137223i | ||||
\(453\) | 2.31541 | − | 0.679867i | 0.108788 | − | 0.0319429i | ||||
\(454\) | −1.79898 | + | 12.5122i | −0.0844305 | + | 0.587227i | ||||
\(455\) | 2.33033 | + | 5.10271i | 0.109247 | + | 0.239219i | ||||
\(456\) | −0.304632 | − | 2.11876i | −0.0142657 | − | 0.0992202i | ||||
\(457\) | −0.634883 | + | 0.408015i | −0.0296986 | + | 0.0190861i | −0.555406 | − | 0.831579i | \(-0.687437\pi\) |
0.525707 | + | 0.850666i | \(0.323801\pi\) | |||||||
\(458\) | −9.00717 | + | 10.3948i | −0.420877 | + | 0.485718i | ||||
\(459\) | −4.05954 | −0.189483 | ||||||||
\(460\) | 2.04977 | − | 4.33572i | 0.0955711 | − | 0.202154i | ||||
\(461\) | −8.47535 | −0.394736 | −0.197368 | − | 0.980329i | \(-0.563239\pi\) | ||||
−0.197368 | + | 0.980329i | \(0.563239\pi\) | |||||||
\(462\) | −3.23768 | + | 3.73648i | −0.150631 | + | 0.173837i | ||||
\(463\) | 8.92852 | − | 5.73801i | 0.414943 | − | 0.266668i | −0.316470 | − | 0.948603i | \(-0.602498\pi\) |
0.731413 | + | 0.681935i | \(0.238861\pi\) | |||||||
\(464\) | −0.205791 | − | 1.43131i | −0.00955362 | − | 0.0664469i | ||||
\(465\) | −0.667309 | − | 1.46120i | −0.0309457 | − | 0.0677617i | ||||
\(466\) | −3.18244 | + | 22.1343i | −0.147423 | + | 1.02535i | ||||
\(467\) | 27.1061 | − | 7.95907i | 1.25432 | − | 0.368302i | 0.413943 | − | 0.910303i | \(-0.364151\pi\) |
0.840378 | + | 0.542001i | \(0.182333\pi\) | |||||||
\(468\) | −2.39898 | − | 1.54173i | −0.110893 | − | 0.0712666i | ||||
\(469\) | −11.7517 | + | 25.7327i | −0.542645 | + | 1.18823i | ||||
\(470\) | −4.71440 | − | 1.38427i | −0.217459 | − | 0.0638517i | ||||
\(471\) | 10.8139 | + | 12.4799i | 0.498278 | + | 0.575044i | ||||
\(472\) | 6.34584 | + | 7.32349i | 0.292091 | + | 0.337091i | ||||
\(473\) | −15.4758 | − | 4.54410i | −0.711577 | − | 0.208938i | ||||
\(474\) | −2.59808 | + | 5.68900i | −0.119334 | + | 0.261304i | ||||
\(475\) | −1.80075 | − | 1.15727i | −0.0826239 | − | 0.0530992i | ||||
\(476\) | −7.66219 | + | 2.24982i | −0.351196 | + | 0.103120i | ||||
\(477\) | −0.440005 | + | 3.06030i | −0.0201464 | + | 0.140122i | ||||
\(478\) | −11.3370 | − | 24.8246i | −0.518542 | − | 1.13545i | ||||
\(479\) | −1.99547 | − | 13.8788i | −0.0911755 | − | 0.634139i | −0.983251 | − | 0.182254i | \(-0.941661\pi\) |
0.892076 | − | 0.451885i | \(-0.149248\pi\) | |||||||
\(480\) | −0.841254 | + | 0.540641i | −0.0383978 | + | 0.0246768i | ||||
\(481\) | −5.59822 | + | 6.46069i | −0.255257 | + | 0.294582i | ||||
\(482\) | 6.90751 | 0.314628 | ||||||||
\(483\) | 1.46597 | − | 9.31946i | 0.0667038 | − | 0.424050i | ||||
\(484\) | −4.68314 | −0.212870 | ||||||||
\(485\) | −6.46894 | + | 7.46556i | −0.293740 | + | 0.338994i | ||||
\(486\) | −0.841254 | + | 0.540641i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | 1.32027 | + | 9.18267i | 0.0598271 | + | 0.416106i | 0.997622 | + | 0.0689177i | \(0.0219546\pi\) |
−0.937795 | + | 0.347189i | \(0.887136\pi\) | |||||||
\(488\) | −4.81544 | − | 10.5443i | −0.217985 | − | 0.477320i | ||||
\(489\) | 2.34546 | − | 16.3131i | 0.106066 | − | 0.737702i | ||||
\(490\) | −3.00357 | + | 0.881928i | −0.135688 | + | 0.0398414i | ||||
\(491\) | −7.40389 | − | 4.75819i | −0.334133 | − | 0.214734i | 0.362806 | − | 0.931865i | \(-0.381819\pi\) |
−0.696939 | + | 0.717131i | \(0.745455\pi\) | |||||||
\(492\) | 1.12147 | − | 2.45567i | 0.0505597 | − | 0.110710i | ||||
\(493\) | 5.63242 | + | 1.65383i | 0.253671 | + | 0.0744847i | ||||
\(494\) | 3.99738 | + | 4.61322i | 0.179850 | + | 0.207558i | ||||
\(495\) | −1.64589 | − | 1.89945i | −0.0739771 | − | 0.0853741i | ||||
\(496\) | 1.54130 | + | 0.452566i | 0.0692063 | + | 0.0203208i | ||||
\(497\) | 7.34743 | − | 16.0886i | 0.329577 | − | 0.721674i | ||||
\(498\) | 9.44140 | + | 6.06762i | 0.423079 | + | 0.271896i | ||||
\(499\) | 27.0845 | − | 7.95272i | 1.21247 | − | 0.356013i | 0.387860 | − | 0.921718i | \(-0.373214\pi\) |
0.824607 | + | 0.565705i | \(0.191396\pi\) | |||||||
\(500\) | −0.142315 | + | 0.989821i | −0.00636451 | + | 0.0442662i | ||||
\(501\) | 1.19547 | + | 2.61771i | 0.0534097 | + | 0.116951i | ||||
\(502\) | −3.67482 | − | 25.5590i | −0.164015 | − | 1.14075i | ||||
\(503\) | 2.36889 | − | 1.52240i | 0.105624 | − | 0.0678803i | −0.486763 | − | 0.873534i | \(-0.661822\pi\) |
0.592386 | + | 0.805654i | \(0.298186\pi\) | |||||||
\(504\) | −1.28820 | + | 1.48666i | −0.0573810 | + | 0.0662212i | ||||
\(505\) | −0.0925799 | −0.00411975 | ||||||||
\(506\) | −10.2254 | + | 6.38198i | −0.454573 | + | 0.283714i | ||||
\(507\) | −4.86794 | −0.216193 | ||||||||
\(508\) | −0.0325683 | + | 0.0375858i | −0.00144499 | + | 0.00166760i | ||||
\(509\) | 13.9970 | − | 8.99535i | 0.620408 | − | 0.398712i | −0.192339 | − | 0.981328i | \(-0.561607\pi\) |
0.812747 | + | 0.582617i | \(0.197971\pi\) | |||||||
\(510\) | −0.577732 | − | 4.01822i | −0.0255824 | − | 0.177930i | ||||
\(511\) | 0.364999 | + | 0.799236i | 0.0161466 | + | 0.0353561i | ||||
\(512\) | 0.142315 | − | 0.989821i | 0.00628949 | − | 0.0437443i | ||||
\(513\) | 2.05384 | − | 0.603063i | 0.0906794 | − | 0.0266259i | ||||
\(514\) | 8.72735 | + | 5.60873i | 0.384947 | + | 0.247390i | ||||
\(515\) | −5.88047 | + | 12.8764i | −0.259125 | + | 0.567404i | ||||
\(516\) | −6.15746 | − | 1.80799i | −0.271067 | − | 0.0795925i | ||||
\(517\) | 8.08694 | + | 9.33282i | 0.355663 | + | 0.410457i | ||||
\(518\) | 3.86175 | + | 4.45670i | 0.169676 | + | 0.195816i | ||||
\(519\) | −0.523050 | − | 0.153581i | −0.0229593 | − | 0.00674147i | ||||
\(520\) | 1.18463 | − | 2.59398i | 0.0519494 | − | 0.113753i | ||||
\(521\) | 26.7237 | + | 17.1743i | 1.17079 | + | 0.752420i | 0.973670 | − | 0.227960i | \(-0.0732056\pi\) |
0.197117 | + | 0.980380i | \(0.436842\pi\) | |||||||
\(522\) | 1.38745 | − | 0.407393i | 0.0607272 | − | 0.0178311i | ||||
\(523\) | 1.18868 | − | 8.26745i | 0.0519773 | − | 0.361510i | −0.947189 | − | 0.320677i | \(-0.896090\pi\) |
0.999166 | − | 0.0408334i | \(-0.0130013\pi\) | |||||||
\(524\) | −5.75226 | − | 12.5957i | −0.251289 | − | 0.550246i | ||||
\(525\) | 0.279953 | + | 1.94711i | 0.0122181 | + | 0.0849790i | ||||
\(526\) | −18.6761 | + | 12.0024i | −0.814317 | + | 0.523330i | ||||
\(527\) | −4.27042 | + | 4.92833i | −0.186022 | + | 0.214681i | ||||
\(528\) | 2.51334 | 0.109379 | ||||||||
\(529\) | 10.1045 | − | 20.6616i | 0.439324 | − | 0.898329i | ||||
\(530\) | −3.09177 | −0.134298 | ||||||||
\(531\) | −6.34584 | + | 7.32349i | −0.275386 | + | 0.317812i | ||||
\(532\) | 3.54231 | − | 2.27651i | 0.153579 | − | 0.0986991i | ||||
\(533\) | 1.09561 | + | 7.62012i | 0.0474560 | + | 0.330064i | ||||
\(534\) | 1.83737 | + | 4.02327i | 0.0795107 | + | 0.174104i | ||||
\(535\) | 0.152566 | − | 1.06112i | 0.00659602 | − | 0.0458763i | ||||
\(536\) | 13.7984 | − | 4.05156i | 0.595998 | − | 0.175001i | ||||
\(537\) | 1.21610 | + | 0.781538i | 0.0524785 | + | 0.0337259i | ||||
\(538\) | 3.06620 | − | 6.71404i | 0.132193 | − | 0.289463i | ||||
\(539\) | 7.54899 | + | 2.21658i | 0.325158 | + | 0.0954750i | ||||
\(540\) | −0.654861 | − | 0.755750i | −0.0281807 | − | 0.0325223i | ||||
\(541\) | −9.20231 | − | 10.6200i | −0.395638 | − | 0.456591i | 0.522624 | − | 0.852563i | \(-0.324953\pi\) |
−0.918262 | + | 0.395972i | \(0.870408\pi\) | |||||||
\(542\) | −14.8017 | − | 4.34618i | −0.635789 | − | 0.186684i | ||||
\(543\) | −0.0463116 | + | 0.101408i | −0.00198742 | + | 0.00435184i | ||||
\(544\) | 3.41510 | + | 2.19475i | 0.146421 | + | 0.0940992i | ||||
\(545\) | −8.46834 | + | 2.48653i | −0.362744 | + | 0.106511i | ||||
\(546\) | 0.798335 | − | 5.55254i | 0.0341656 | − | 0.237627i | ||||
\(547\) | 13.0077 | + | 28.4829i | 0.556168 | + | 1.21784i | 0.953841 | + | 0.300312i | \(0.0970907\pi\) |
−0.397673 | + | 0.917527i | \(0.630182\pi\) | |||||||
\(548\) | 2.17858 | + | 15.1523i | 0.0930643 | + | 0.647276i | ||||
\(549\) | 9.75171 | − | 6.26705i | 0.416193 | − | 0.267471i | ||||
\(550\) | 1.64589 | − | 1.89945i | 0.0701808 | − | 0.0809930i | ||||
\(551\) | −3.09530 | −0.131864 | ||||||||
\(552\) | −4.06844 | + | 2.53925i | −0.173164 | + | 0.108078i | ||||
\(553\) | −12.3028 | −0.523169 | ||||||||
\(554\) | −11.5358 | + | 13.3130i | −0.490108 | + | 0.565615i | ||||
\(555\) | −2.52190 | + | 1.62073i | −0.107049 | + | 0.0687960i | ||||
\(556\) | −1.15896 | − | 8.06075i | −0.0491509 | − | 0.341852i | ||||
\(557\) | 14.6136 | + | 31.9994i | 0.619199 | + | 1.35586i | 0.916100 | + | 0.400949i | \(0.131319\pi\) |
−0.296901 | + | 0.954908i | \(0.595953\pi\) | |||||||
\(558\) | −0.228610 | + | 1.59002i | −0.00967783 | + | 0.0673108i | ||||
\(559\) | 17.5591 | − | 5.15581i | 0.742670 | − | 0.218068i | ||||
\(560\) | −1.65486 | − | 1.06351i | −0.0699306 | − | 0.0449417i | ||||
\(561\) | −4.23847 | + | 9.28096i | −0.178948 | + | 0.391843i | ||||
\(562\) | 16.6917 | + | 4.90111i | 0.704095 | + | 0.206741i | ||||
\(563\) | 15.7623 | + | 18.1906i | 0.664301 | + | 0.766644i | 0.983473 | − | 0.181052i | \(-0.0579503\pi\) |
−0.319172 | + | 0.947697i | \(0.603405\pi\) | |||||||
\(564\) | 3.21761 | + | 3.71332i | 0.135486 | + | 0.156359i | ||||
\(565\) | −5.17760 | − | 1.52028i | −0.217823 | − | 0.0639587i | ||||
\(566\) | 13.3465 | − | 29.2249i | 0.560997 | − | 1.22841i | ||||
\(567\) | −1.65486 | − | 1.06351i | −0.0694976 | − | 0.0446634i | ||||
\(568\) | −8.62702 | + | 2.53312i | −0.361982 | + | 0.106287i | ||||
\(569\) | 0.400059 | − | 2.78247i | 0.0167714 | − | 0.116647i | −0.979716 | − | 0.200391i | \(-0.935779\pi\) |
0.996487 | + | 0.0837439i | \(0.0266878\pi\) | |||||||
\(570\) | 0.889217 | + | 1.94711i | 0.0372452 | + | 0.0815556i | ||||
\(571\) | −2.34487 | − | 16.3089i | −0.0981296 | − | 0.682506i | −0.978200 | − | 0.207664i | \(-0.933414\pi\) |
0.880071 | − | 0.474843i | \(-0.157495\pi\) | |||||||
\(572\) | −6.02945 | + | 3.87489i | −0.252104 | + | 0.162017i | ||||
\(573\) | 0.154657 | − | 0.178484i | 0.00646089 | − | 0.00745627i | ||||
\(574\) | 5.31055 | 0.221658 | ||||||||
\(575\) | −0.745229 | + | 4.73758i | −0.0310782 | + | 0.197571i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 10.3605 | − | 11.9567i | 0.431313 | − | 0.497762i | −0.497937 | − | 0.867213i | \(-0.665909\pi\) |
0.929250 | + | 0.369451i | \(0.120454\pi\) | |||||||
\(578\) | 0.437583 | − | 0.281217i | 0.0182010 | − | 0.0116971i | ||||
\(579\) | 1.39534 | + | 9.70483i | 0.0579885 | + | 0.403319i | ||||
\(580\) | 0.600702 | + | 1.31535i | 0.0249428 | + | 0.0546171i | ||||
\(581\) | −3.14191 | + | 21.8525i | −0.130348 | + | 0.906594i | ||||
\(582\) | 9.47821 | − | 2.78305i | 0.392884 | − | 0.115361i | ||||
\(583\) | 6.53710 | + | 4.20114i | 0.270739 | + | 0.173993i | ||||
\(584\) | 0.185548 | − | 0.406294i | 0.00767805 | − | 0.0168126i | ||||
\(585\) | 2.73616 | + | 0.803410i | 0.113126 | + | 0.0332169i | ||||
\(586\) | 4.22735 | + | 4.87863i | 0.174630 | + | 0.201534i | ||||
\(587\) | 7.96134 | + | 9.18787i | 0.328600 | + | 0.379224i | 0.895877 | − | 0.444303i | \(-0.146549\pi\) |
−0.567277 | + | 0.823527i | \(0.692003\pi\) | |||||||
\(588\) | 3.00357 | + | 0.881928i | 0.123865 | + | 0.0363701i | ||||
\(589\) | 1.42841 | − | 3.12778i | 0.0588566 | − | 0.128878i | ||||
\(590\) | −8.15206 | − | 5.23901i | −0.335615 | − | 0.215687i | ||||
\(591\) | −18.1929 | + | 5.34192i | −0.748357 | + | 0.219737i | ||||
\(592\) | 0.426630 | − | 2.96727i | 0.0175344 | − | 0.121954i | ||||
\(593\) | 13.7796 | + | 30.1731i | 0.565859 | + | 1.23906i | 0.948973 | + | 0.315358i | \(0.102125\pi\) |
−0.383113 | + | 0.923701i | \(0.625148\pi\) | |||||||
\(594\) | 0.357685 | + | 2.48775i | 0.0146760 | + | 0.102074i | ||||
\(595\) | 6.71797 | − | 4.31738i | 0.275410 | − | 0.176995i | ||||
\(596\) | 5.79055 | − | 6.68265i | 0.237190 | − | 0.273732i | ||||
\(597\) | −10.5730 | −0.432723 | ||||||||
\(598\) | 5.84529 | − | 12.3641i | 0.239032 | − | 0.505604i | ||||
\(599\) | −23.2200 | −0.948741 | −0.474371 | − | 0.880325i | \(-0.657324\pi\) | ||||
−0.474371 | + | 0.880325i | \(0.657324\pi\) | |||||||
\(600\) | 0.654861 | − | 0.755750i | 0.0267346 | − | 0.0308533i | ||||
\(601\) | −33.1550 | + | 21.3074i | −1.35242 | + | 0.869147i | −0.997828 | − | 0.0658738i | \(-0.979017\pi\) |
−0.354592 | + | 0.935021i | \(0.615380\pi\) | |||||||
\(602\) | −1.79657 | − | 12.4954i | −0.0732228 | − | 0.509276i | ||||
\(603\) | 5.97403 | + | 13.0813i | 0.243281 | + | 0.532712i | ||||
\(604\) | 0.343429 | − | 2.38860i | 0.0139739 | − | 0.0971909i | ||||
\(605\) | 4.49344 | − | 1.31939i | 0.182684 | − | 0.0536409i | ||||
\(606\) | 0.0778832 | + | 0.0500525i | 0.00316379 | + | 0.00203324i | ||||
\(607\) | −5.17357 | + | 11.3285i | −0.209989 | + | 0.459812i | −0.985093 | − | 0.172022i | \(-0.944970\pi\) |
0.775104 | + | 0.631833i | \(0.217697\pi\) | |||||||
\(608\) | −2.05384 | − | 0.603063i | −0.0832944 | − | 0.0244574i | ||||
\(609\) | 1.86277 | + | 2.14976i | 0.0754834 | + | 0.0871125i | ||||
\(610\) | 7.59107 | + | 8.76056i | 0.307353 | + | 0.354705i | ||||
\(611\) | −13.4439 | − | 3.94750i | −0.543884 | − | 0.159699i | ||||
\(612\) | −1.68639 | + | 3.69269i | −0.0681684 | + | 0.149268i | ||||
\(613\) | 7.34068 | + | 4.71757i | 0.296487 | + | 0.190541i | 0.680424 | − | 0.732819i | \(-0.261796\pi\) |
−0.383937 | + | 0.923359i | \(0.625432\pi\) | |||||||
\(614\) | −29.8541 | + | 8.76595i | −1.20481 | + | 0.353765i | ||||
\(615\) | −0.384198 | + | 2.67215i | −0.0154923 | + | 0.107752i | ||||
\(616\) | 2.05384 | + | 4.49729i | 0.0827517 | + | 0.181201i | ||||
\(617\) | 7.01211 | + | 48.7703i | 0.282297 | + | 1.96342i | 0.267616 | + | 0.963526i | \(0.413764\pi\) |
0.0146811 | + | 0.999892i | \(0.495327\pi\) | |||||||
\(618\) | 11.9085 | − | 7.65313i | 0.479030 | − | 0.307854i | ||||
\(619\) | −5.21541 | + | 6.01890i | −0.209625 | + | 0.241920i | −0.850819 | − | 0.525459i | \(-0.823894\pi\) |
0.641194 | + | 0.767379i | \(0.278439\pi\) | |||||||
\(620\) | −1.60637 | −0.0645133 | ||||||||
\(621\) | −3.09240 | − | 3.66566i | −0.124094 | − | 0.147098i | ||||
\(622\) | −15.3452 | −0.615288 | ||||||||
\(623\) | −5.69767 | + | 6.57546i | −0.228272 | + | 0.263440i | ||||
\(624\) | −2.39898 | + | 1.54173i | −0.0960362 | + | 0.0617187i | ||||
\(625\) | −0.142315 | − | 0.989821i | −0.00569259 | − | 0.0395929i | ||||
\(626\) | −8.87616 | − | 19.4361i | −0.354763 | − | 0.776822i | ||||
\(627\) | 0.765644 | − | 5.32517i | 0.0305769 | − | 0.212667i | ||||
\(628\) | 15.8444 | − | 4.65233i | 0.632260 | − | 0.185648i | ||||
\(629\) | 10.2377 | + | 6.57940i | 0.408206 | + | 0.262338i | ||||
\(630\) | 0.817178 | − | 1.78937i | 0.0325572 | − | 0.0712902i | ||||
\(631\) | −45.4561 | − | 13.3471i | −1.80958 | − | 0.531340i | −0.811021 | − | 0.585017i | \(-0.801088\pi\) |
−0.998558 | + | 0.0536769i | \(0.982906\pi\) | |||||||
\(632\) | 4.09561 | + | 4.72659i | 0.162915 | + | 0.188014i | ||||
\(633\) | 4.63516 | + | 5.34926i | 0.184231 | + | 0.212614i | ||||
\(634\) | −13.6639 | − | 4.01209i | −0.542664 | − | 0.159340i | ||||
\(635\) | 0.0206599 | − | 0.0452389i | 0.000819864 | − | 0.00179525i | ||||
\(636\) | 2.60096 | + | 1.67154i | 0.103135 | + | 0.0662808i | ||||
\(637\) | −8.56521 | + | 2.51497i | −0.339366 | + | 0.0996469i | ||||
\(638\) | 0.517223 | − | 3.59736i | 0.0204770 | − | 0.142421i | ||||
\(639\) | −3.73509 | − | 8.17871i | −0.147758 | − | 0.323545i | ||||
\(640\) | 0.142315 | + | 0.989821i | 0.00562549 | + | 0.0391261i | ||||
\(641\) | −36.5863 | + | 23.5126i | −1.44507 | + | 0.928692i | −0.445634 | + | 0.895215i | \(0.647022\pi\) |
−0.999440 | + | 0.0334766i | \(0.989342\pi\) | |||||||
\(642\) | −0.702033 | + | 0.810190i | −0.0277070 | + | 0.0319756i | ||||
\(643\) | −19.8627 | −0.783307 | −0.391653 | − | 0.920113i | \(-0.628097\pi\) | ||||
−0.391653 | + | 0.920113i | \(0.628097\pi\) | |||||||
\(644\) | −7.86830 | − | 5.20493i | −0.310054 | − | 0.205103i | ||||
\(645\) | 6.41741 | 0.252685 | ||||||||
\(646\) | 5.69051 | − | 6.56720i | 0.223890 | − | 0.258383i | ||||
\(647\) | 11.7118 | − | 7.52670i | 0.460437 | − | 0.295905i | −0.289784 | − | 0.957092i | \(-0.593583\pi\) |
0.750221 | + | 0.661187i | \(0.229947\pi\) | |||||||
\(648\) | 0.142315 | + | 0.989821i | 0.00559065 | + | 0.0388839i | ||||
\(649\) | 10.1175 | + | 22.1542i | 0.397147 | + | 0.869630i | ||||
\(650\) | −0.405836 | + | 2.82265i | −0.0159182 | + | 0.110713i | ||||
\(651\) | −3.03194 | + | 0.890259i | −0.118831 | + | 0.0348920i | ||||
\(652\) | −13.8645 | − | 8.91020i | −0.542978 | − | 0.348950i | ||||
\(653\) | −11.3503 | + | 24.8537i | −0.444173 | + | 0.972602i | 0.546641 | + | 0.837367i | \(0.315906\pi\) |
−0.990814 | + | 0.135235i | \(0.956821\pi\) | |||||||
\(654\) | 8.46834 | + | 2.48653i | 0.331138 | + | 0.0972310i | ||||
\(655\) | 9.06788 | + | 10.4649i | 0.354311 | + | 0.408897i | ||||
\(656\) | −1.76788 | − | 2.04025i | −0.0690242 | − | 0.0796582i | ||||
\(657\) | 0.428565 | + | 0.125838i | 0.0167199 | + | 0.00490941i | ||||
\(658\) | −4.01514 | + | 8.79194i | −0.156527 | + | 0.342746i | ||||
\(659\) | 15.6254 | + | 10.0418i | 0.608680 | + | 0.391175i | 0.808362 | − | 0.588686i | \(-0.200355\pi\) |
−0.199682 | + | 0.979861i | \(0.563991\pi\) | |||||||
\(660\) | −2.41153 | + | 0.708089i | −0.0938686 | + | 0.0275623i | ||||
\(661\) | 4.06206 | − | 28.2522i | 0.157996 | − | 1.09888i | −0.744325 | − | 0.667818i | \(-0.767229\pi\) |
0.902320 | − | 0.431066i | \(-0.141862\pi\) | |||||||
\(662\) | 4.82986 | + | 10.5759i | 0.187718 | + | 0.411045i | ||||
\(663\) | −1.64751 | − | 11.4587i | −0.0639838 | − | 0.445017i | ||||
\(664\) | 9.44140 | − | 6.06762i | 0.366397 | − | 0.235469i | ||||
\(665\) | −2.75746 | + | 3.18228i | −0.106930 | + | 0.123403i | ||||
\(666\) | 2.99779 | 0.116162 | ||||||||
\(667\) | 2.79720 | + | 6.34576i | 0.108308 | + | 0.245709i | ||||
\(668\) | 2.87777 | 0.111344 | ||||||||
\(669\) | 9.08320 | − | 10.4826i | 0.351177 | − | 0.405280i | ||||
\(670\) | −12.0980 | + | 7.77489i | −0.467385 | + | 0.300370i | ||||
\(671\) | −4.14624 | − | 28.8378i | −0.160064 | − | 1.11327i | ||||
\(672\) | 0.817178 | + | 1.78937i | 0.0315233 | + | 0.0690265i | ||||
\(673\) | −2.39649 | + | 16.6679i | −0.0923778 | + | 0.642502i | 0.890051 | + | 0.455862i | \(0.150669\pi\) |
−0.982428 | + | 0.186640i | \(0.940240\pi\) | |||||||
\(674\) | 8.09187 | − | 2.37599i | 0.311687 | − | 0.0915196i | ||||
\(675\) | 0.841254 | + | 0.540641i | 0.0323799 | + | 0.0208093i | ||||
\(676\) | −2.02221 | + | 4.42803i | −0.0777775 | + | 0.170309i | ||||
\(677\) | 1.38515 | + | 0.406716i | 0.0532355 | + | 0.0156314i | 0.308242 | − | 0.951308i | \(-0.400259\pi\) |
−0.255006 | + | 0.966939i | \(0.582078\pi\) | |||||||
\(678\) | 3.53375 | + | 4.07817i | 0.135713 | + | 0.156621i | ||||
\(679\) | 12.7253 | + | 14.6858i | 0.488352 | + | 0.563588i | ||||
\(680\) | −3.89510 | − | 1.14370i | −0.149370 | − | 0.0438590i | ||||
\(681\) | −5.25121 | + | 11.4985i | −0.201227 | + | 0.440625i | ||||
\(682\) | 3.39643 | + | 2.18275i | 0.130056 | + | 0.0835819i | ||||
\(683\) | 39.2282 | − | 11.5184i | 1.50102 | − | 0.440741i | 0.574984 | − | 0.818165i | \(-0.305008\pi\) |
0.926041 | + | 0.377424i | \(0.123190\pi\) | |||||||
\(684\) | 0.304632 | − | 2.11876i | 0.0116479 | − | 0.0810130i | ||||
\(685\) | −6.35924 | − | 13.9248i | −0.242974 | − | 0.532039i | ||||
\(686\) | 2.83603 | + | 19.7250i | 0.108280 | + | 0.753104i | ||||
\(687\) | −11.5709 | + | 7.43615i | −0.441457 | + | 0.283707i | ||||
\(688\) | −4.20251 | + | 4.84995i | −0.160219 | + | 0.184903i | ||||
\(689\) | −8.81673 | −0.335891 | ||||||||
\(690\) | 3.18825 | − | 3.58260i | 0.121375 | − | 0.136387i | ||||
\(691\) | −43.2869 | −1.64671 | −0.823356 | − | 0.567526i | \(-0.807901\pi\) | ||||
−0.823356 | + | 0.567526i | \(0.807901\pi\) | |||||||
\(692\) | −0.356985 | + | 0.411983i | −0.0135705 | + | 0.0156612i | ||||
\(693\) | −4.15922 | + | 2.67297i | −0.157996 | + | 0.101538i | ||||
\(694\) | −4.89260 | − | 34.0288i | −0.185721 | − | 1.29171i | ||||
\(695\) | 3.38299 | + | 7.40772i | 0.128324 | + | 0.280991i | ||||
\(696\) | 0.205791 | − | 1.43131i | 0.00780050 | − | 0.0542537i | ||||
\(697\) | 10.5153 | − | 3.08758i | 0.398297 | − | 0.116950i | ||||
\(698\) | −27.1569 | − | 17.4527i | −1.02790 | − | 0.660593i | ||||
\(699\) | −9.28948 | + | 20.3411i | −0.351361 | + | 0.769372i | ||||
\(700\) | 1.88745 | + | 0.554206i | 0.0713391 | + | 0.0209470i | ||||
\(701\) | 28.1130 | + | 32.4441i | 1.06181 | + | 1.22540i | 0.973352 | + | 0.229318i | \(0.0736495\pi\) |
0.0884614 | + | 0.996080i | \(0.471805\pi\) | |||||||
\(702\) | −1.86745 | − | 2.15515i | −0.0704824 | − | 0.0813410i | ||||
\(703\) | −6.15699 | − | 1.80786i | −0.232215 | − | 0.0681845i | ||||
\(704\) | 1.04408 | − | 2.28621i | 0.0393502 | − | 0.0861649i | ||||
\(705\) | −4.13344 | − | 2.65640i | −0.155674 | − | 0.100046i | ||||
\(706\) | −29.3129 | + | 8.60704i | −1.10321 | + | 0.323930i | ||||
\(707\) | −0.0259180 | + | 0.180264i | −0.000974747 | + | 0.00677951i | ||||
\(708\) | 4.02552 | + | 8.81467i | 0.151288 | + | 0.331276i | ||||
\(709\) | −0.391583 | − | 2.72352i | −0.0147062 | − | 0.102284i | 0.981146 | − | 0.193267i | \(-0.0619083\pi\) |
−0.995852 | + | 0.0909828i | \(0.970999\pi\) | |||||||
\(710\) | 7.56390 | − | 4.86102i | 0.283868 | − | 0.182431i | ||||
\(711\) | −4.09561 | + | 4.72659i | −0.153597 | + | 0.177261i | ||||
\(712\) | 4.42297 | 0.165758 | ||||||||
\(713\) | −7.70319 | − | 0.101869i | −0.288487 | − | 0.00381503i | ||||
\(714\) | −7.98567 | −0.298856 | ||||||||
\(715\) | 4.69353 | − | 5.41663i | 0.175528 | − | 0.202570i | ||||
\(716\) | 1.21610 | − | 0.781538i | 0.0454477 | − | 0.0292075i | ||||
\(717\) | −3.88388 | − | 27.0130i | −0.145046 | − | 1.00882i | ||||
\(718\) | −11.9935 | − | 26.2620i | −0.447592 | − | 0.980089i | ||||
\(719\) | 0.727624 | − | 5.06073i | 0.0271358 | − | 0.188734i | −0.971745 | − | 0.236033i | \(-0.924153\pi\) |
0.998881 | + | 0.0472998i | \(0.0150616\pi\) | |||||||
\(720\) | −0.959493 | + | 0.281733i | −0.0357582 | + | 0.0104996i | ||||
\(721\) | 23.4256 | + | 15.0547i | 0.872417 | + | 0.560668i | ||||
\(722\) | 5.98947 | − | 13.1151i | 0.222905 | − | 0.488094i | ||||
\(723\) | 6.62771 | + | 1.94607i | 0.246487 | + | 0.0723751i | ||||
\(724\) | 0.0730056 | + | 0.0842529i | 0.00271323 | + | 0.00313124i | ||||
\(725\) | −0.946947 | − | 1.09284i | −0.0351687 | − | 0.0405869i | ||||
\(726\) | −4.49344 | − | 1.31939i | −0.166767 | − | 0.0489672i | ||||
\(727\) | 4.66596 | − | 10.2170i | 0.173051 | − | 0.378928i | −0.803156 | − | 0.595768i | \(-0.796848\pi\) |
0.976207 | + | 0.216840i | \(0.0695749\pi\) | |||||||
\(728\) | −4.71913 | − | 3.03280i | −0.174903 | − | 0.112403i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −0.0635660 | + | 0.442111i | −0.00235268 | + | 0.0163633i | ||||
\(731\) | −10.8223 | − | 23.6975i | −0.400276 | − | 0.876483i | ||||
\(732\) | −1.64970 | − | 11.4739i | −0.0609746 | − | 0.424087i | ||||
\(733\) | 4.51450 | − | 2.90129i | 0.166747 | − | 0.107162i | −0.454606 | − | 0.890693i | \(-0.650220\pi\) |
0.621353 | + | 0.783531i | \(0.286583\pi\) | |||||||
\(734\) | −4.69506 | + | 5.41839i | −0.173298 | + | 0.199996i | ||||
\(735\) | −3.13037 | −0.115466 | ||||||||
\(736\) | 0.619688 | + | 4.75563i | 0.0228420 | + | 0.175295i | ||||
\(737\) | 36.1440 | 1.33138 | ||||||||
\(738\) | 1.76788 | − | 2.04025i | 0.0650767 | − | 0.0751025i | ||||
\(739\) | −14.1630 | + | 9.10202i | −0.520995 | + | 0.334823i | −0.774565 | − | 0.632494i | \(-0.782031\pi\) |
0.253570 | + | 0.967317i | \(0.418395\pi\) | |||||||
\(740\) | 0.426630 | + | 2.96727i | 0.0156832 | + | 0.109079i | ||||
\(741\) | 2.53576 | + | 5.55254i | 0.0931535 | + | 0.203978i | ||||
\(742\) | −0.865550 | + | 6.02003i | −0.0317753 | + | 0.221002i | ||||
\(743\) | −0.627261 | + | 0.184181i | −0.0230120 | + | 0.00675693i | −0.293218 | − | 0.956046i | \(-0.594726\pi\) |
0.270206 | + | 0.962802i | \(0.412908\pi\) | |||||||
\(744\) | 1.35136 | + | 0.868468i | 0.0495433 | + | 0.0318396i | ||||
\(745\) | −3.67327 | + | 8.04334i | −0.134578 | + | 0.294685i | ||||
\(746\) | −30.2023 | − | 8.86819i | −1.10578 | − | 0.324688i | ||||
\(747\) | 7.34951 | + | 8.48178i | 0.268904 | + | 0.310332i | ||||
\(748\) | 6.68153 | + | 7.71090i | 0.244301 | + | 0.281939i | ||||
\(749\) | −2.02342 | − | 0.594128i | −0.0739340 | − | 0.0217090i | ||||
\(750\) | −0.415415 | + | 0.909632i | −0.0151688 | + | 0.0332151i | ||||
\(751\) | −12.2535 | − | 7.87485i | −0.447137 | − | 0.287357i | 0.297631 | − | 0.954681i | \(-0.403803\pi\) |
−0.744768 | + | 0.667324i | \(0.767440\pi\) | |||||||
\(752\) | 4.71440 | − | 1.38427i | 0.171916 | − | 0.0504792i | ||||
\(753\) | 3.67482 | − | 25.5590i | 0.133918 | − | 0.931420i | ||||
\(754\) | 1.71301 | + | 3.75096i | 0.0623841 | + | 0.136602i | ||||
\(755\) | 0.343429 | + | 2.38860i | 0.0124987 | + | 0.0869301i | ||||
\(756\) | −1.65486 | + | 1.06351i | −0.0601867 | + | 0.0386796i | ||||
\(757\) | 5.32590 | − | 6.14642i | 0.193573 | − | 0.223395i | −0.650663 | − | 0.759367i | \(-0.725509\pi\) |
0.844236 | + | 0.535971i | \(0.180054\pi\) | |||||||
\(758\) | −0.354227 | −0.0128661 | ||||||||
\(759\) | −11.6092 | + | 3.24265i | −0.421387 | + | 0.117701i | ||||
\(760\) | 2.14055 | 0.0776460 | ||||||||
\(761\) | 6.80679 | − | 7.85546i | 0.246746 | − | 0.284760i | −0.618843 | − | 0.785514i | \(-0.712398\pi\) |
0.865590 | + | 0.500754i | \(0.166944\pi\) | |||||||
\(762\) | −0.0418382 | + | 0.0268878i | −0.00151564 | + | 0.000974042i | ||||
\(763\) | 2.47082 | + | 17.1849i | 0.0894497 | + | 0.622136i | ||||
\(764\) | −0.0981077 | − | 0.214826i | −0.00354941 | − | 0.00777213i | ||||
\(765\) | 0.577732 | − | 4.01822i | 0.0208880 | − | 0.145279i | ||||
\(766\) | −15.2018 | + | 4.46365i | −0.549263 | + | 0.161278i | ||||
\(767\) | −23.2470 | − | 14.9400i | −0.839402 | − | 0.539451i | ||||
\(768\) | 0.415415 | − | 0.909632i | 0.0149900 | − | 0.0328235i | ||||
\(769\) | 2.40729 | + | 0.706844i | 0.0868091 | + | 0.0254895i | 0.324849 | − | 0.945766i | \(-0.394687\pi\) |
−0.238040 | + | 0.971255i | \(0.576505\pi\) | |||||||
\(770\) | −3.23768 | − | 3.73648i | −0.116678 | − | 0.134654i | ||||
\(771\) | 6.79367 | + | 7.84031i | 0.244668 | + | 0.282362i | ||||
\(772\) | 9.40747 | + | 2.76228i | 0.338582 | + | 0.0994167i | ||||
\(773\) | 9.14419 | − | 20.0230i | 0.328894 | − | 0.720177i | −0.670877 | − | 0.741568i | \(-0.734082\pi\) |
0.999771 | + | 0.0213914i | \(0.00680963\pi\) | |||||||
\(774\) | −5.39867 | − | 3.46951i | −0.194051 | − | 0.124709i | ||||
\(775\) | 1.54130 | − | 0.452566i | 0.0553651 | − | 0.0162567i | ||||
\(776\) | 1.40584 | − | 9.77780i | 0.0504666 | − | 0.351003i | ||||
\(777\) | 2.44973 | + | 5.36415i | 0.0878835 | + | 0.192438i | ||||
\(778\) | 3.19639 | + | 22.2314i | 0.114596 | + | 0.797033i | ||||
\(779\) | −4.86135 | + | 3.12420i | −0.174176 | + | 0.111936i | ||||
\(780\) | 1.86745 | − | 2.15515i | 0.0668655 | − | 0.0771669i | ||||
\(781\) | −22.5980 | −0.808619 | ||||||||
\(782\) | −18.6061 | − | 5.73154i | −0.665352 | − | 0.204960i | ||||
\(783\) | 1.44603 | 0.0516768 | ||||||||
\(784\) | 2.04996 | − | 2.36578i | 0.0732128 | − | 0.0844921i | ||||
\(785\) | −13.8919 | + | 8.92776i | −0.495822 | + | 0.318645i | ||||
\(786\) | −1.97064 | − | 13.7061i | −0.0702903 | − | 0.488880i | ||||
\(787\) | 8.92932 | + | 19.5525i | 0.318296 | + | 0.696970i | 0.999379 | − | 0.0352355i | \(-0.0112181\pi\) |
−0.681083 | + | 0.732206i | \(0.738491\pi\) | |||||||
\(788\) | −2.69843 | + | 18.7680i | −0.0961275 | + | 0.668582i | ||||
\(789\) | −21.3011 | + | 6.25456i | −0.758338 | + | 0.222668i | ||||
\(790\) | −5.26135 | − | 3.38126i | −0.187190 | − | 0.120300i | ||||
\(791\) | −4.40965 | + | 9.65578i | −0.156789 | + | 0.343320i | ||||
\(792\) | 2.41153 | + | 0.708089i | 0.0856900 | + | 0.0251608i | ||||
\(793\) | 21.6473 | + | 24.9823i | 0.768717 | + | 0.887147i | ||||
\(794\) | −2.36465 | − | 2.72895i | −0.0839181 | − | 0.0968467i | ||||
\(795\) | −2.96653 | − | 0.871053i | −0.105212 | − | 0.0308931i | ||||
\(796\) | −4.39217 | + | 9.61751i | −0.155676 | + | 0.340883i | ||||
\(797\) | 1.44029 | + | 0.925618i | 0.0510177 | + | 0.0327871i | 0.565901 | − | 0.824473i | \(-0.308528\pi\) |
−0.514883 | + | 0.857260i | \(0.672165\pi\) | |||||||
\(798\) | 4.04019 | − | 1.18631i | 0.143021 | − | 0.0419948i | ||||
\(799\) | −2.83865 | + | 19.7432i | −0.100424 | + | 0.698465i | ||||
\(800\) | −0.415415 | − | 0.909632i | −0.0146871 | − | 0.0321603i | ||||
\(801\) | 0.629454 | + | 4.37795i | 0.0222407 | + | 0.154687i | ||||
\(802\) | 7.30839 | − | 4.69682i | 0.258068 | − | 0.165850i | ||||
\(803\) | 0.735148 | − | 0.848406i | 0.0259428 | − | 0.0299396i | ||||
\(804\) | 14.3809 | 0.507175 | ||||||||
\(805\) | 9.01597 | + | 2.77734i | 0.317771 | + | 0.0978885i | ||||
\(806\) | −4.58084 | −0.161353 | ||||||||
\(807\) | 4.83356 | − | 5.57823i | 0.170149 | − | 0.196363i | ||||
\(808\) | 0.0778832 | − | 0.0500525i | 0.00273992 | − | 0.00176084i | ||||
\(809\) | −3.03371 | − | 21.0999i | −0.106660 | − | 0.741834i | −0.971026 | − | 0.238972i | \(-0.923189\pi\) |
0.864367 | − | 0.502862i | \(-0.167720\pi\) | |||||||
\(810\) | −0.415415 | − | 0.909632i | −0.0145962 | − | 0.0319612i | ||||
\(811\) | −0.788852 | + | 5.48659i | −0.0277003 | + | 0.192660i | −0.998973 | − | 0.0453092i | \(-0.985573\pi\) |
0.971273 | + | 0.237969i | \(0.0764818\pi\) | |||||||
\(812\) | 2.72931 | − | 0.801398i | 0.0957801 | − | 0.0281236i | ||||
\(813\) | −12.9777 | − | 8.34026i | −0.455148 | − | 0.292506i | ||||
\(814\) | 3.12992 | − | 6.85358i | 0.109704 | − | 0.240218i | ||||
\(815\) | 15.8132 | + | 4.64318i | 0.553913 | + | 0.162644i | ||||
\(816\) | 2.65843 | + | 3.06799i | 0.0930637 | + | 0.107401i | ||||
\(817\) | 8.99569 | + | 10.3816i | 0.314719 | + | 0.363205i | ||||
\(818\) | −13.0642 | − | 3.83600i | −0.456779 | − | 0.134123i | ||||
\(819\) | 2.33033 | − | 5.10271i | 0.0814283 | − | 0.178303i | ||||
\(820\) | 2.27108 | + | 1.45953i | 0.0793094 | + | 0.0509690i | ||||
\(821\) | 21.7811 | − | 6.39552i | 0.760167 | − | 0.223205i | 0.121398 | − | 0.992604i | \(-0.461262\pi\) |
0.638769 | + | 0.769399i | \(0.279444\pi\) | |||||||
\(822\) | −2.17858 | + | 15.1523i | −0.0759866 | + | 0.528499i | ||||
\(823\) | 7.13621 | + | 15.6261i | 0.248753 | + | 0.544692i | 0.992281 | − | 0.124012i | \(-0.0395763\pi\) |
−0.743528 | + | 0.668705i | \(0.766849\pi\) | |||||||
\(824\) | −2.01456 | − | 14.0116i | −0.0701805 | − | 0.488116i | ||||
\(825\) | 2.11435 | − | 1.35881i | 0.0736123 | − | 0.0473078i | ||||
\(826\) | −12.4831 | + | 14.4063i | −0.434344 | + | 0.501260i | ||||
\(827\) | 29.1253 | 1.01279 | 0.506393 | − | 0.862303i | \(-0.330978\pi\) | ||||
0.506393 | + | 0.862303i | \(0.330978\pi\) | |||||||
\(828\) | −4.61903 | + | 1.29018i | −0.160522 | + | 0.0448367i | ||||
\(829\) | −50.9639 | −1.77005 | −0.885025 | − | 0.465543i | \(-0.845859\pi\) | ||||
−0.885025 | + | 0.465543i | \(0.845859\pi\) | |||||||
\(830\) | −7.34951 | + | 8.48178i | −0.255105 | + | 0.294407i | ||||
\(831\) | −14.8192 | + | 9.52372i | −0.514072 | + | 0.330374i | ||||
\(832\) | 0.405836 | + | 2.82265i | 0.0140698 | + | 0.0978578i | ||||
\(833\) | 5.27904 | + | 11.5595i | 0.182908 | + | 0.400512i | ||||
\(834\) | 1.15896 | − | 8.06075i | 0.0401315 | − | 0.279121i | ||||
\(835\) | −2.76120 | + | 0.810762i | −0.0955554 | + | 0.0280576i | ||||
\(836\) | −4.52588 | − | 2.90861i | −0.156531 | − | 0.100596i | ||||
\(837\) | −0.667309 | + | 1.46120i | −0.0230656 | + | 0.0505066i | ||||
\(838\) | 11.8970 | + | 3.49328i | 0.410976 | + | 0.120673i | ||||
\(839\) | −8.51798 | − | 9.83027i | −0.294073 | − | 0.339379i | 0.589416 | − | 0.807829i | \(-0.299358\pi\) |
−0.883490 | + | 0.468451i | \(0.844812\pi\) | |||||||
\(840\) | −1.28820 | − | 1.48666i | −0.0444471 | − | 0.0512947i | ||||
\(841\) | 25.8190 | + | 7.58114i | 0.890310 | + | 0.261419i | ||||
\(842\) | 3.05509 | − | 6.68970i | 0.105285 | − | 0.230542i | ||||
\(843\) | 14.6347 | + | 9.40517i | 0.504047 | + | 0.323931i | ||||
\(844\) | 6.79137 | − | 1.99413i | 0.233769 | − | 0.0686407i | ||||
\(845\) | 0.692780 | − | 4.81839i | 0.0238324 | − | 0.165758i | ||||
\(846\) | 2.04111 | + | 4.46941i | 0.0701748 | + | 0.153661i | ||||
\(847\) | −1.31106 | − | 9.11860i | −0.0450485 | − | 0.313319i | ||||
\(848\) | 2.60096 | − | 1.67154i | 0.0893174 | − | 0.0574008i | ||||
\(849\) | 21.0395 | − | 24.2809i | 0.722074 | − | 0.833318i | ||||
\(850\) | 4.05954 | 0.139241 | ||||||||
\(851\) | 1.85769 | + | 14.2564i | 0.0636809 | + | 0.488702i | ||||
\(852\) | −8.99122 | −0.308034 | ||||||||
\(853\) | −6.99647 | + | 8.07436i | −0.239555 | + | 0.276461i | −0.862778 | − | 0.505583i | \(-0.831277\pi\) |
0.623223 | + | 0.782044i | \(0.285823\pi\) | |||||||
\(854\) | 19.1830 | − | 12.3281i | 0.656427 | − | 0.421860i | ||||
\(855\) | 0.304632 | + | 2.11876i | 0.0104182 | + | 0.0724602i | ||||
\(856\) | 0.445339 | + | 0.975157i | 0.0152214 | + | 0.0333302i | ||||
\(857\) | −0.302833 | + | 2.10625i | −0.0103446 | + | 0.0719480i | −0.994340 | − | 0.106247i | \(-0.966117\pi\) |
0.983995 | + | 0.178195i | \(0.0570257\pi\) | |||||||
\(858\) | −6.87690 | + | 2.01924i | −0.234774 | + | 0.0689357i | ||||
\(859\) | 33.6508 | + | 21.6260i | 1.14815 | + | 0.737871i | 0.969270 | − | 0.246000i | \(-0.0791164\pi\) |
0.178880 | + | 0.983871i | \(0.442753\pi\) | |||||||
\(860\) | 2.66589 | − | 5.83748i | 0.0909060 | − | 0.199056i | ||||
\(861\) | 5.09543 | + | 1.49615i | 0.173652 | + | 0.0509888i | ||||
\(862\) | 1.20333 | + | 1.38871i | 0.0409855 | + | 0.0472998i | ||||
\(863\) | 28.3296 | + | 32.6941i | 0.964350 | + | 1.11292i | 0.993556 | + | 0.113346i | \(0.0361568\pi\) |
−0.0292057 | + | 0.999573i | \(0.509298\pi\) | |||||||
\(864\) | 0.959493 | + | 0.281733i | 0.0326426 | + | 0.00958474i | ||||
\(865\) | 0.226456 | − | 0.495869i | 0.00769973 | − | 0.0168601i | ||||
\(866\) | −22.5889 | − | 14.5170i | −0.767603 | − | 0.493309i | ||||
\(867\) | 0.499086 | − | 0.146545i | 0.0169498 | − | 0.00497692i | ||||
\(868\) | −0.449707 | + | 3.12778i | −0.0152640 | + | 0.106164i | ||||
\(869\) | 6.52984 | + | 14.2984i | 0.221510 | + | 0.485039i | ||||
\(870\) | 0.205791 | + | 1.43131i | 0.00697698 | + | 0.0485259i | ||||
\(871\) | −34.4995 | + | 22.1715i | −1.16897 | + | 0.751252i | ||||
\(872\) | 5.77970 | − | 6.67013i | 0.195725 | − | 0.225879i | ||||
\(873\) | 9.87835 | 0.334332 | ||||||||
\(874\) | 10.2648 | + | 0.135745i | 0.347213 | + | 0.00459164i | ||||
\(875\) | −1.96714 | −0.0665014 | ||||||||
\(876\) | 0.292499 | − | 0.337561i | 0.00988261 | − | 0.0114051i | ||||
\(877\) | 12.0112 | − | 7.71910i | 0.405588 | − | 0.260655i | −0.321903 | − | 0.946773i | \(-0.604323\pi\) |
0.727491 | + | 0.686117i | \(0.240686\pi\) | |||||||
\(878\) | 0.0483624 | + | 0.336368i | 0.00163215 | + | 0.0113519i | ||||
\(879\) | 2.68165 | + | 5.87199i | 0.0904498 | + | 0.198057i | ||||
\(880\) | −0.357685 | + | 2.48775i | −0.0120576 | + | 0.0838622i | ||||
\(881\) | −24.7815 | + | 7.27650i | −0.834909 | + | 0.245151i | −0.671124 | − | 0.741345i | \(-0.734188\pi\) |
−0.163784 | + | 0.986496i | \(0.552370\pi\) | |||||||
\(882\) | 2.63344 | + | 1.69241i | 0.0886724 | + | 0.0569863i | ||||
\(883\) | −20.5557 | + | 45.0107i | −0.691754 | + | 1.51473i | 0.157938 | + | 0.987449i | \(0.449515\pi\) |
−0.849691 | + | 0.527280i | \(0.823212\pi\) | |||||||
\(884\) | −11.1076 | − | 3.26147i | −0.373588 | − | 0.109695i | ||||
\(885\) | −6.34584 | − | 7.32349i | −0.213313 | − | 0.246176i | ||||
\(886\) | 16.6502 | + | 19.2153i | 0.559373 | + | 0.645551i | ||||
\(887\) | −32.8423 | − | 9.64337i | −1.10274 | − | 0.323793i | −0.320798 | − | 0.947148i | \(-0.603951\pi\) |
−0.781939 | + | 0.623355i | \(0.785769\pi\) | |||||||
\(888\) | 1.24533 | − | 2.72688i | 0.0417904 | − | 0.0915082i | ||||
\(889\) | −0.0823015 | − | 0.0528920i | −0.00276030 | − | 0.00177394i | ||||
\(890\) | −4.24381 | + | 1.24609i | −0.142253 | + | 0.0417692i | ||||
\(891\) | −0.357685 | + | 2.48775i | −0.0119829 | + | 0.0833429i | ||||
\(892\) | −5.76199 | − | 12.6170i | −0.192926 | − | 0.422448i | ||||
\(893\) | −1.49679 | − | 10.4104i | −0.0500881 | − | 0.348370i | ||||
\(894\) | 7.43871 | − | 4.78057i | 0.248788 | − | 0.159886i | ||||
\(895\) | −0.946652 | + | 1.09249i | −0.0316431 | + | 0.0365181i | ||||
\(896\) | 1.96714 | 0.0657174 | ||||||||
\(897\) | 9.09187 | − | 10.2164i | 0.303569 | − | 0.341116i | ||||
\(898\) | 16.4113 | 0.547653 | ||||||||
\(899\) | 1.52114 | − | 1.75549i | 0.0507330 | − | 0.0585490i | ||||
\(900\) | 0.841254 | − | 0.540641i | 0.0280418 | − | 0.0180214i | ||||
\(901\) | 1.78622 | + | 12.4234i | 0.0595075 | + | 0.413884i | ||||
\(902\) | −2.81863 | − | 6.17193i | −0.0938500 | − | 0.205503i | ||||
\(903\) | 1.79657 | − | 12.4954i | 0.0597862 | − | 0.415822i | ||||
\(904\) | 5.17760 | − | 1.52028i | 0.172205 | − | 0.0505638i | ||||
\(905\) | −0.0937851 | − | 0.0602721i | −0.00311752 | − | 0.00200351i | ||||
\(906\) | 1.00246 | − | 2.19509i | 0.0333047 | − | 0.0729270i | ||||
\(907\) | −9.39790 | − | 2.75947i | −0.312052 | − | 0.0916268i | 0.121957 | − | 0.992535i | \(-0.461083\pi\) |
−0.434009 | + | 0.900909i | \(0.642901\pi\) | |||||||
\(908\) | 8.27801 | + | 9.55333i | 0.274715 | + | 0.317038i | ||||
\(909\) | 0.0606269 | + | 0.0699672i | 0.00201087 | + | 0.00232067i | ||||
\(910\) | 5.38241 | + | 1.58042i | 0.178425 | + | 0.0523903i | ||||
\(911\) | 11.9258 | − | 26.1138i | 0.395119 | − | 0.865189i | −0.602623 | − | 0.798026i | \(-0.705878\pi\) |
0.997742 | − | 0.0671636i | \(-0.0213949\pi\) | |||||||
\(912\) | −1.80075 | − | 1.15727i | −0.0596287 | − | 0.0383210i | ||||
\(913\) | 27.0646 | − | 7.94689i | 0.895708 | − | 0.263004i | ||||
\(914\) | −0.107403 | + | 0.747005i | −0.00355258 | + | 0.0247087i | ||||
\(915\) | 4.81544 | + | 10.5443i | 0.159194 | + | 0.348585i | ||||
\(916\) | 1.95745 | + | 13.6143i | 0.0646758 | + | 0.449830i | ||||
\(917\) | 22.9149 | − | 14.7265i | 0.756717 | − | 0.486312i | ||||
\(918\) | −2.65843 | + | 3.06799i | −0.0877413 | + | 0.101259i | ||||
\(919\) | 44.0345 | 1.45257 | 0.726283 | − | 0.687396i | \(-0.241246\pi\) | ||||
0.726283 | + | 0.687396i | \(0.241246\pi\) | |||||||
\(920\) | −1.93440 | − | 4.38840i | −0.0637753 | − | 0.144681i | ||||
\(921\) | −31.1144 | −1.02526 | ||||||||
\(922\) | −5.55017 | + | 6.40524i | −0.182785 | + | 0.210945i | ||||
\(923\) | 21.5698 | − | 13.8621i | 0.709979 | − | 0.456276i | ||||
\(924\) | 0.703616 | + | 4.89375i | 0.0231473 | + | 0.160993i | ||||
\(925\) | −1.24533 | − | 2.72688i | −0.0409461 | − | 0.0896594i | ||||
\(926\) | 1.51044 | − | 10.5053i | 0.0496361 | − | 0.345226i | ||||
\(927\) | 13.5823 | − | 3.98811i | 0.446100 | − | 0.130987i | ||||
\(928\) | −1.21648 | − | 0.781782i | −0.0399328 | − | 0.0256632i | ||||
\(929\) | 7.13867 | − | 15.6315i | 0.234212 | − | 0.512853i | −0.755634 | − | 0.654994i | \(-0.772671\pi\) |
0.989846 | + | 0.142141i | \(0.0453986\pi\) | |||||||
\(930\) | −1.54130 | − | 0.452566i | −0.0505412 | − | 0.0148402i | ||||
\(931\) | −4.38804 | − | 5.06407i | −0.143812 | − | 0.165968i | ||||
\(932\) | 14.6440 | + | 16.9000i | 0.479679 | + | 0.553579i | ||||
\(933\) | −14.7236 | − | 4.32325i | −0.482030 | − | 0.141537i | ||||
\(934\) | 11.7357 | − | 25.6975i | 0.384002 | − | 0.840848i | ||||
\(935\) | −8.58330 | − | 5.51615i | −0.280704 | − | 0.180397i | ||||
\(936\) | −2.73616 | + | 0.803410i | −0.0894343 | + | 0.0262603i | ||||
\(937\) | 4.53456 | − | 31.5385i | 0.148137 | − | 1.03032i | −0.771128 | − | 0.636680i | \(-0.780307\pi\) |
0.919265 | − | 0.393638i | \(-0.128784\pi\) | |||||||
\(938\) | 11.7517 | + | 25.7327i | 0.383708 | + | 0.840203i | ||||
\(939\) | −3.04084 | − | 21.1495i | −0.0992340 | − | 0.690187i | ||||
\(940\) | −4.13344 | + | 2.65640i | −0.134818 | + | 0.0866422i | ||||
\(941\) | 11.0199 | − | 12.7176i | 0.359238 | − | 0.414583i | −0.547146 | − | 0.837037i | \(-0.684286\pi\) |
0.906384 | + | 0.422454i | \(0.138831\pi\) | |||||||
\(942\) | 16.5133 | 0.538032 | ||||||||
\(943\) | 10.7982 | + | 7.14308i | 0.351637 | + | 0.232611i | ||||
\(944\) | 9.69037 | 0.315395 | ||||||||
\(945\) | 1.28820 | − | 1.48666i | 0.0419052 | − | 0.0483611i | ||||
\(946\) | −13.5687 | + | 8.72006i | −0.441156 | + | 0.283514i | ||||
\(947\) | −7.46691 | − | 51.9335i | −0.242642 | − | 1.68761i | −0.638756 | − | 0.769410i | \(-0.720550\pi\) |
0.396114 | − | 0.918201i | \(-0.370359\pi\) | |||||||
\(948\) | 2.59808 | + | 5.68900i | 0.0843816 | + | 0.184770i | ||||
\(949\) | −0.181270 | + | 1.26076i | −0.00588427 | + | 0.0409260i | ||||
\(950\) | −2.05384 | + | 0.603063i | −0.0666355 | + | 0.0195659i | ||||
\(951\) | −11.9801 | − | 7.69915i | −0.388482 | − | 0.249662i | ||||
\(952\) | −3.31737 | + | 7.26402i | −0.107516 | + | 0.235428i | ||||
\(953\) | −44.5064 | − | 13.0683i | −1.44170 | − | 0.423323i | −0.534915 | − | 0.844906i | \(-0.679656\pi\) |
−0.906790 | + | 0.421583i | \(0.861474\pi\) | |||||||
\(954\) | 2.02468 | + | 2.33660i | 0.0655514 | + | 0.0756504i | ||||
\(955\) | 0.154657 | + | 0.178484i | 0.00500459 | + | 0.00577560i | ||||
\(956\) | −26.1853 | − | 7.68870i | −0.846894 | − | 0.248670i | ||||
\(957\) | 1.50977 | − | 3.30593i | 0.0488038 | − | 0.106865i | ||||
\(958\) | −11.7957 | − | 7.58061i | −0.381101 | − | 0.244919i | ||||
\(959\) | −28.8934 | + | 8.48388i | −0.933018 | + | 0.273959i | ||||
\(960\) | −0.142315 | + | 0.989821i | −0.00459319 | + | 0.0319463i | ||||
\(961\) | −11.8059 | − | 25.8514i | −0.380836 | − | 0.833915i | ||||
\(962\) | 1.21661 | + | 8.46171i | 0.0392251 | + | 0.272816i | ||||
\(963\) | −0.901853 | + | 0.579586i | −0.0290618 | + | 0.0186769i | ||||
\(964\) | 4.52346 | − | 5.22035i | 0.145691 | − | 0.168136i | ||||
\(965\) | −9.80463 | −0.315622 | ||||||||
\(966\) | −6.08318 | − | 7.21085i | −0.195723 | − | 0.232005i | ||||
\(967\) | −47.8181 | −1.53773 | −0.768864 | − | 0.639412i | \(-0.779178\pi\) | ||||
−0.768864 | + | 0.639412i | \(0.779178\pi\) | |||||||
\(968\) | −3.06680 | + | 3.53928i | −0.0985708 | + | 0.113757i | ||||
\(969\) | 7.31020 | − | 4.69798i | 0.234837 | − | 0.150921i | ||||
\(970\) | 1.40584 | + | 9.77780i | 0.0451387 | + | 0.313946i | ||||
\(971\) | 8.62088 | + | 18.8771i | 0.276657 | + | 0.605795i | 0.996049 | − | 0.0888103i | \(-0.0283065\pi\) |
−0.719391 | + | 0.694605i | \(0.755579\pi\) | |||||||
\(972\) | −0.142315 | + | 0.989821i | −0.00456475 | + | 0.0317485i | ||||
\(973\) | 15.3708 | − | 4.51326i | 0.492764 | − | 0.144688i | ||||
\(974\) | 7.80439 | + | 5.01558i | 0.250069 | + | 0.160709i | ||||
\(975\) | −1.18463 | + | 2.59398i | −0.0379385 | + | 0.0830737i | ||||
\(976\) | −11.1223 | − | 3.26581i | −0.356017 | − | 0.104536i | ||||
\(977\) | −29.1440 | − | 33.6339i | −0.932398 | − | 1.07605i | −0.996943 | − | 0.0781303i | \(-0.975105\pi\) |
0.0645448 | − | 0.997915i | \(-0.479440\pi\) | |||||||
\(978\) | −10.7926 | − | 12.4554i | −0.345111 | − | 0.398279i | ||||
\(979\) | 10.6661 | + | 3.13186i | 0.340891 | + | 0.100095i | ||||
\(980\) | −1.30040 | + | 2.84749i | −0.0415399 | + | 0.0909597i | ||||
\(981\) | 7.42478 | + | 4.77161i | 0.237055 | + | 0.152346i | ||||
\(982\) | −8.44452 | + | 2.47953i | −0.269475 | + | 0.0791251i | ||||
\(983\) | 6.62049 | − | 46.0465i | 0.211161 | − | 1.46866i | −0.558128 | − | 0.829755i | \(-0.688480\pi\) |
0.769289 | − | 0.638902i | \(-0.220611\pi\) | |||||||
\(984\) | −1.12147 | − | 2.45567i | −0.0357511 | − | 0.0782840i | ||||
\(985\) | −2.69843 | − | 18.7680i | −0.0859791 | − | 0.597997i | ||||
\(986\) | 4.93833 | − | 3.17367i | 0.157269 | − | 0.101070i | ||||
\(987\) | −6.32948 | + | 7.30461i | −0.201470 | + | 0.232508i | ||||
\(988\) | 6.10416 | 0.194199 | ||||||||
\(989\) | 13.1542 | − | 27.8241i | 0.418280 | − | 0.884754i | ||||
\(990\) | −2.51334 | −0.0798791 | ||||||||
\(991\) | 23.4151 | − | 27.0225i | 0.743806 | − | 0.858398i | −0.250146 | − | 0.968208i | \(-0.580479\pi\) |
0.993953 | + | 0.109810i | \(0.0350241\pi\) | |||||||
\(992\) | 1.35136 | − | 0.868468i | 0.0429058 | − | 0.0275739i | ||||
\(993\) | 1.65464 | + | 11.5083i | 0.0525083 | + | 0.365203i | ||||
\(994\) | −7.34743 | − | 16.0886i | −0.233046 | − | 0.510300i | ||||
\(995\) | 1.50469 | − | 10.4653i | 0.0477019 | − | 0.331774i | ||||
\(996\) | 10.7684 | − | 3.16189i | 0.341210 | − | 0.100188i | ||||
\(997\) | 8.15635 | + | 5.24177i | 0.258314 | + | 0.166008i | 0.663388 | − | 0.748276i | \(-0.269118\pi\) |
−0.405074 | + | 0.914284i | \(0.632754\pi\) | |||||||
\(998\) | 11.7263 | − | 25.6770i | 0.371189 | − | 0.812791i | ||||
\(999\) | 2.87636 | + | 0.844574i | 0.0910039 | + | 0.0267212i |
(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.b.361.1 | yes | 10 | |
23.13 | even | 11 | inner | 690.2.m.b.151.1 | ✓ | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.b.151.1 | ✓ | 10 | 23.13 | even | 11 | inner | |
690.2.m.b.361.1 | yes | 10 | 1.1 | even | 1 | trivial |