Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.57 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.57 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.212993 | − | 1.39808i | 0.150609 | − | 0.988593i | ||||
\(3\) | −0.739739 | + | 1.56614i | −0.427089 | + | 0.904210i | ||||
\(4\) | −1.90927 | − | 0.595563i | −0.954634 | − | 0.297781i | ||||
\(5\) | 0.405895 | − | 0.266961i | 0.181522 | − | 0.119389i | −0.455496 | − | 0.890238i | \(-0.650538\pi\) |
0.637018 | + | 0.770849i | \(0.280168\pi\) | |||||||
\(6\) | 2.03203 | + | 1.36779i | 0.829573 | + | 0.558399i | ||||
\(7\) | −0.678333 | − | 0.639974i | −0.256386 | − | 0.241887i | 0.547307 | − | 0.836932i | \(-0.315653\pi\) |
−0.803693 | + | 0.595044i | \(0.797134\pi\) | |||||||
\(8\) | −1.23931 | + | 2.54246i | −0.438161 | + | 0.898897i | ||||
\(9\) | −1.90557 | − | 2.31707i | −0.635190 | − | 0.772356i | ||||
\(10\) | −0.286781 | − | 0.624335i | −0.0906881 | − | 0.197432i | ||||
\(11\) | 1.65746 | + | 3.30027i | 0.499743 | + | 0.995070i | 0.992191 | + | 0.124728i | \(0.0398059\pi\) |
−0.492448 | + | 0.870342i | \(0.663898\pi\) | |||||||
\(12\) | 2.34509 | − | 2.54961i | 0.676970 | − | 0.736010i | ||||
\(13\) | 1.97624 | − | 0.852466i | 0.548110 | − | 0.236431i | −0.103972 | − | 0.994580i | \(-0.533155\pi\) |
0.652082 | + | 0.758149i | \(0.273896\pi\) | |||||||
\(14\) | −1.03922 | + | 0.812055i | −0.277742 | + | 0.217031i | ||||
\(15\) | 0.117842 | + | 0.833168i | 0.0304265 | + | 0.215123i | ||||
\(16\) | 3.29061 | + | 2.27418i | 0.822652 | + | 0.568545i | ||||
\(17\) | −0.154421 | − | 0.184032i | −0.0374527 | − | 0.0446344i | 0.746993 | − | 0.664832i | \(-0.231497\pi\) |
−0.784446 | + | 0.620198i | \(0.787052\pi\) | |||||||
\(18\) | −3.64532 | + | 2.17063i | −0.859211 | + | 0.511622i | ||||
\(19\) | 2.97832 | + | 2.49911i | 0.683275 | + | 0.573335i | 0.916961 | − | 0.398977i | \(-0.130635\pi\) |
−0.233687 | + | 0.972312i | \(0.575079\pi\) | |||||||
\(20\) | −0.933954 | + | 0.267965i | −0.208838 | + | 0.0599187i | ||||
\(21\) | 1.50408 | − | 0.588948i | 0.328216 | − | 0.128519i | ||||
\(22\) | 4.96708 | − | 1.61433i | 1.05899 | − | 0.344177i | ||||
\(23\) | 0.582884 | + | 0.617821i | 0.121540 | + | 0.128825i | 0.785286 | − | 0.619133i | \(-0.212516\pi\) |
−0.663746 | + | 0.747958i | \(0.731034\pi\) | |||||||
\(24\) | −3.06508 | − | 3.82168i | −0.625657 | − | 0.780098i | ||||
\(25\) | −1.88692 | + | 4.37436i | −0.377383 | + | 0.874873i | ||||
\(26\) | −0.770893 | − | 2.94451i | −0.151185 | − | 0.577466i | ||||
\(27\) | 5.03847 | − | 1.27036i | 0.969654 | − | 0.244481i | ||||
\(28\) | 0.913975 | + | 1.62587i | 0.172725 | + | 0.307261i | ||||
\(29\) | 7.65039 | − | 0.894202i | 1.42064 | − | 0.166049i | 0.629176 | − | 0.777263i | \(-0.283393\pi\) |
0.791465 | + | 0.611214i | \(0.209319\pi\) | |||||||
\(30\) | 1.18994 | + | 0.0127067i | 0.217252 | + | 0.00231992i | ||||
\(31\) | 2.31766 | + | 9.77897i | 0.416264 | + | 1.75636i | 0.627203 | + | 0.778856i | \(0.284200\pi\) |
−0.210939 | + | 0.977499i | \(0.567652\pi\) | |||||||
\(32\) | 3.88036 | − | 4.11616i | 0.685958 | − | 0.727641i | ||||
\(33\) | −6.39477 | + | 0.154467i | −1.11319 | + | 0.0268893i | ||||
\(34\) | −0.290183 | + | 0.176696i | −0.0497659 | + | 0.0303031i | ||||
\(35\) | −0.446180 | − | 0.0786735i | −0.0754182 | − | 0.0132983i | ||||
\(36\) | 2.25829 | + | 5.55879i | 0.376381 | + | 0.926465i | ||||
\(37\) | −6.33859 | + | 1.11766i | −1.04206 | + | 0.183743i | −0.668383 | − | 0.743817i | \(-0.733013\pi\) |
−0.373674 | + | 0.927560i | \(0.621902\pi\) | |||||||
\(38\) | 4.12832 | − | 3.63165i | 0.669703 | − | 0.589132i | ||||
\(39\) | −0.126822 | + | 3.72566i | −0.0203078 | + | 0.596583i | ||||
\(40\) | 0.175711 | + | 1.36282i | 0.0277824 | + | 0.215481i | ||||
\(41\) | 6.78971 | + | 5.05475i | 1.06037 | + | 0.789420i | 0.978297 | − | 0.207206i | \(-0.0664371\pi\) |
0.0820776 | + | 0.996626i | \(0.473844\pi\) | |||||||
\(42\) | −0.503041 | − | 2.22826i | −0.0776209 | − | 0.343829i | ||||
\(43\) | 0.111122 | − | 1.90789i | 0.0169460 | − | 0.290951i | −0.979179 | − | 0.203000i | \(-0.934931\pi\) |
0.996125 | − | 0.0879515i | \(-0.0280320\pi\) | |||||||
\(44\) | −1.19902 | − | 7.28823i | −0.180758 | − | 1.09874i | ||||
\(45\) | −1.39203 | − | 0.431771i | −0.207511 | − | 0.0643647i | ||||
\(46\) | 0.987915 | − | 0.683329i | 0.145660 | − | 0.100751i | ||||
\(47\) | 6.25000 | + | 1.48128i | 0.911656 | + | 0.216066i | 0.659574 | − | 0.751639i | \(-0.270737\pi\) |
0.252082 | + | 0.967706i | \(0.418885\pi\) | |||||||
\(48\) | −5.99587 | + | 3.47125i | −0.865429 | + | 0.501031i | ||||
\(49\) | −0.356445 | − | 6.11993i | −0.0509207 | − | 0.874275i | ||||
\(50\) | 5.71382 | + | 3.56977i | 0.808056 | + | 0.504842i | ||||
\(51\) | 0.402451 | − | 0.105709i | 0.0563544 | − | 0.0148022i | ||||
\(52\) | −4.28086 | + | 0.450612i | −0.593649 | + | 0.0624886i | ||||
\(53\) | −0.422453 | − | 0.731710i | −0.0580284 | − | 0.100508i | 0.835552 | − | 0.549412i | \(-0.185148\pi\) |
−0.893580 | + | 0.448903i | \(0.851815\pi\) | |||||||
\(54\) | −0.702912 | − | 7.31477i | −0.0956542 | − | 0.995415i | ||||
\(55\) | 1.55380 | + | 0.897086i | 0.209514 | + | 0.120963i | ||||
\(56\) | 2.46777 | − | 0.931513i | 0.329770 | − | 0.124479i | ||||
\(57\) | −6.11714 | + | 2.81577i | −0.810234 | + | 0.372958i | ||||
\(58\) | 0.379309 | − | 10.8863i | 0.0498057 | − | 1.42944i | ||||
\(59\) | 1.02372 | − | 2.03839i | 0.133277 | − | 0.265376i | −0.817088 | − | 0.576512i | \(-0.804413\pi\) |
0.950365 | + | 0.311136i | \(0.100710\pi\) | |||||||
\(60\) | 0.271213 | − | 1.66092i | 0.0350135 | − | 0.214424i | ||||
\(61\) | −3.82294 | + | 1.14451i | −0.489477 | + | 0.146540i | −0.522025 | − | 0.852930i | \(-0.674823\pi\) |
0.0325475 | + | 0.999470i | \(0.489638\pi\) | |||||||
\(62\) | 14.1655 | − | 1.15743i | 1.79901 | − | 0.146993i | ||||
\(63\) | −0.190251 | + | 2.79126i | −0.0239693 | + | 0.351666i | ||||
\(64\) | −4.92824 | − | 6.30178i | −0.616030 | − | 0.787723i | ||||
\(65\) | 0.574569 | − | 0.873590i | 0.0712665 | − | 0.108355i | ||||
\(66\) | −1.14608 | + | 8.97332i | −0.141073 | + | 1.10454i | ||||
\(67\) | 13.3990 | + | 1.56612i | 1.63695 | + | 0.191332i | 0.884245 | − | 0.467022i | \(-0.154673\pi\) |
0.752708 | + | 0.658355i | \(0.228747\pi\) | |||||||
\(68\) | 0.185229 | + | 0.443334i | 0.0224623 | + | 0.0537622i | ||||
\(69\) | −1.39878 | + | 0.455850i | −0.168393 | + | 0.0548779i | ||||
\(70\) | −0.205025 | + | 0.607039i | −0.0245052 | + | 0.0725551i | ||||
\(71\) | −4.03859 | − | 1.46993i | −0.479292 | − | 0.174448i | 0.0910650 | − | 0.995845i | \(-0.470973\pi\) |
−0.570357 | + | 0.821397i | \(0.693195\pi\) | |||||||
\(72\) | 8.25264 | − | 1.97329i | 0.972583 | − | 0.232555i | ||||
\(73\) | −1.45888 | + | 0.530988i | −0.170749 | + | 0.0621474i | −0.425980 | − | 0.904733i | \(-0.640071\pi\) |
0.255231 | + | 0.966880i | \(0.417848\pi\) | |||||||
\(74\) | 0.212513 | + | 9.09992i | 0.0247041 | + | 1.05784i | ||||
\(75\) | −5.45503 | − | 6.19106i | −0.629892 | − | 0.714882i | ||||
\(76\) | −4.19804 | − | 6.54525i | −0.481549 | − | 0.750792i | ||||
\(77\) | 0.987780 | − | 3.29942i | 0.112568 | − | 0.376003i | ||||
\(78\) | 5.18177 | + | 0.970847i | 0.586720 | + | 0.109927i | ||||
\(79\) | −12.3816 | + | 9.21773i | −1.39303 | + | 1.03708i | −0.400347 | + | 0.916364i | \(0.631110\pi\) |
−0.992688 | + | 0.120712i | \(0.961482\pi\) | |||||||
\(80\) | 1.94276 | + | 0.0446119i | 0.217207 | + | 0.00498776i | ||||
\(81\) | −1.73759 | + | 8.83067i | −0.193066 | + | 0.981186i | ||||
\(82\) | 8.51312 | − | 8.41595i | 0.940117 | − | 0.929386i | ||||
\(83\) | 3.38952 | − | 2.52340i | 0.372048 | − | 0.276979i | −0.394854 | − | 0.918744i | \(-0.629205\pi\) |
0.766902 | + | 0.641765i | \(0.221797\pi\) | |||||||
\(84\) | −3.22244 | + | 0.228688i | −0.351597 | + | 0.0249519i | ||||
\(85\) | −0.111808 | − | 0.0334732i | −0.0121273 | − | 0.00363068i | ||||
\(86\) | −2.64373 | − | 0.561726i | −0.285080 | − | 0.0605725i | ||||
\(87\) | −4.25885 | + | 12.6430i | −0.456596 | + | 1.35548i | ||||
\(88\) | −10.4449 | + | 0.123982i | −1.11343 | + | 0.0132165i | ||||
\(89\) | −3.16548 | − | 8.69708i | −0.335540 | − | 0.921889i | −0.986643 | − | 0.162899i | \(-0.947915\pi\) |
0.651103 | − | 0.758990i | \(-0.274307\pi\) | |||||||
\(90\) | −0.900144 | + | 1.85421i | −0.0948835 | + | 0.195450i | ||||
\(91\) | −1.88610 | − | 0.686485i | −0.197717 | − | 0.0719632i | ||||
\(92\) | −0.744931 | − | 1.52673i | −0.0776645 | − | 0.159173i | ||||
\(93\) | −17.0297 | − | 3.60412i | −1.76589 | − | 0.373730i | ||||
\(94\) | 3.40215 | − | 8.42251i | 0.350905 | − | 0.868716i | ||||
\(95\) | 1.87605 | + | 0.219279i | 0.192479 | + | 0.0224976i | ||||
\(96\) | 3.57601 | + | 9.12207i | 0.364975 | + | 0.931017i | ||||
\(97\) | −13.0559 | − | 8.58702i | −1.32563 | − | 0.871880i | −0.328275 | − | 0.944582i | \(-0.606467\pi\) |
−0.997354 | + | 0.0727024i | \(0.976838\pi\) | |||||||
\(98\) | −8.63208 | − | 0.805160i | −0.871972 | − | 0.0813335i | ||||
\(99\) | 4.48855 | − | 10.1294i | 0.451116 | − | 1.01804i | ||||
\(100\) | 6.20784 | − | 7.22806i | 0.620784 | − | 0.722806i | ||||
\(101\) | −0.830535 | − | 2.77418i | −0.0826413 | − | 0.276041i | 0.906674 | − | 0.421832i | \(-0.138613\pi\) |
−0.989315 | + | 0.145790i | \(0.953427\pi\) | |||||||
\(102\) | −0.0620709 | − | 0.585175i | −0.00614594 | − | 0.0579410i | ||||
\(103\) | −3.31799 | + | 6.60666i | −0.326931 | + | 0.650973i | −0.995714 | − | 0.0924844i | \(-0.970519\pi\) |
0.668783 | + | 0.743458i | \(0.266815\pi\) | |||||||
\(104\) | −0.281800 | + | 6.08098i | −0.0276328 | + | 0.596289i | ||||
\(105\) | 0.453270 | − | 0.640581i | 0.0442347 | − | 0.0625143i | ||||
\(106\) | −1.11297 | + | 0.434775i | −0.108101 | + | 0.0422291i | ||||
\(107\) | −1.51259 | − | 0.873295i | −0.146228 | − | 0.0844246i | 0.425101 | − | 0.905146i | \(-0.360239\pi\) |
−0.571329 | + | 0.820721i | \(0.693572\pi\) | |||||||
\(108\) | −10.3764 | − | 0.575265i | −0.998467 | − | 0.0553549i | ||||
\(109\) | 2.00876 | − | 1.15976i | 0.192405 | − | 0.111085i | −0.400703 | − | 0.916208i | \(-0.631234\pi\) |
0.593108 | + | 0.805123i | \(0.297901\pi\) | |||||||
\(110\) | 1.58515 | − | 1.98127i | 0.151138 | − | 0.188906i | ||||
\(111\) | 2.93849 | − | 10.7539i | 0.278909 | − | 1.02071i | ||||
\(112\) | −0.776714 | − | 3.64855i | −0.0733925 | − | 0.344756i | ||||
\(113\) | 2.27675 | − | 0.132606i | 0.214179 | − | 0.0124745i | 0.0492799 | − | 0.998785i | \(-0.484307\pi\) |
0.164899 | + | 0.986311i | \(0.447270\pi\) | |||||||
\(114\) | 2.63378 | + | 9.15200i | 0.246676 | + | 0.857163i | ||||
\(115\) | 0.401524 | + | 0.0951629i | 0.0374423 | + | 0.00887399i | ||||
\(116\) | −15.1392 | − | 2.84901i | −1.40564 | − | 0.264524i | ||||
\(117\) | −5.74108 | − | 2.95464i | −0.530763 | − | 0.273157i | ||||
\(118\) | −2.63180 | − | 1.86541i | −0.242277 | − | 0.171725i | ||||
\(119\) | −0.0130267 | + | 0.223661i | −0.00119416 | + | 0.0205029i | ||||
\(120\) | −2.26434 | − | 0.732943i | −0.206705 | − | 0.0669082i | ||||
\(121\) | −1.57589 | + | 2.11679i | −0.143263 | + | 0.192435i | ||||
\(122\) | 0.785865 | + | 5.58856i | 0.0711489 | + | 0.505964i | ||||
\(123\) | −12.9391 | + | 6.89442i | −1.16668 | + | 0.621649i | ||||
\(124\) | 1.39896 | − | 20.0510i | 0.125630 | − | 1.80063i | ||||
\(125\) | 0.823703 | + | 4.67145i | 0.0736742 | + | 0.417827i | ||||
\(126\) | 3.86189 | + | 0.860504i | 0.344044 | + | 0.0766598i | ||||
\(127\) | −20.5189 | − | 3.61803i | −1.82075 | − | 0.321048i | −0.844152 | − | 0.536104i | \(-0.819896\pi\) |
−0.976602 | + | 0.215056i | \(0.931007\pi\) | |||||||
\(128\) | −9.86009 | + | 5.54785i | −0.871517 | + | 0.490366i | ||||
\(129\) | 2.90582 | + | 1.58538i | 0.255844 | + | 0.139585i | ||||
\(130\) | −1.09897 | − | 0.989363i | −0.0963862 | − | 0.0867729i | ||||
\(131\) | 2.63919 | + | 11.1356i | 0.230587 | + | 0.972922i | 0.958010 | + | 0.286733i | \(0.0925694\pi\) |
−0.727424 | + | 0.686189i | \(0.759282\pi\) | |||||||
\(132\) | 12.3013 | + | 3.51357i | 1.07069 | + | 0.305817i | ||||
\(133\) | −0.420929 | − | 3.60128i | −0.0364992 | − | 0.312271i | ||||
\(134\) | 5.04347 | − | 18.3994i | 0.435689 | − | 1.58946i | ||||
\(135\) | 1.70595 | − | 1.86071i | 0.146825 | − | 0.160144i | ||||
\(136\) | 0.659270 | − | 0.164538i | 0.0565320 | − | 0.0141090i | ||||
\(137\) | 1.64802 | + | 0.710887i | 0.140800 | + | 0.0607352i | 0.465314 | − | 0.885146i | \(-0.345941\pi\) |
−0.324514 | + | 0.945881i | \(0.605201\pi\) | |||||||
\(138\) | 0.339387 | + | 2.05270i | 0.0288905 | + | 0.174737i | ||||
\(139\) | −10.6595 | − | 11.2984i | −0.904126 | − | 0.958318i | 0.0951840 | − | 0.995460i | \(-0.469656\pi\) |
−0.999310 | + | 0.0371421i | \(0.988175\pi\) | |||||||
\(140\) | 0.805022 | + | 0.415937i | 0.0680368 | + | 0.0351531i | ||||
\(141\) | −6.94325 | + | 8.69260i | −0.584727 | + | 0.732049i | ||||
\(142\) | −2.91527 | + | 5.33319i | −0.244644 | + | 0.447552i | ||||
\(143\) | 6.08890 | + | 5.10920i | 0.509180 | + | 0.427253i | ||||
\(144\) | −1.00107 | − | 11.9582i | −0.0834225 | − | 0.996514i | ||||
\(145\) | 2.86653 | − | 2.40531i | 0.238053 | − | 0.199750i | ||||
\(146\) | 0.431635 | + | 2.15273i | 0.0357223 | + | 0.178161i | ||||
\(147\) | 9.84832 | + | 3.96891i | 0.812276 | + | 0.327350i | ||||
\(148\) | 12.7677 | + | 1.64111i | 1.04950 | + | 0.134898i | ||||
\(149\) | 3.38982 | + | 7.85849i | 0.277705 | + | 0.643793i | 0.998796 | − | 0.0490472i | \(-0.0156185\pi\) |
−0.721091 | + | 0.692840i | \(0.756359\pi\) | |||||||
\(150\) | −9.81749 | + | 6.30793i | −0.801595 | + | 0.515040i | ||||
\(151\) | 8.24400 | + | 16.4151i | 0.670887 | + | 1.33585i | 0.929125 | + | 0.369765i | \(0.120562\pi\) |
−0.258239 | + | 0.966081i | \(0.583142\pi\) | |||||||
\(152\) | −10.0450 | + | 4.47512i | −0.814753 | + | 0.362980i | ||||
\(153\) | −0.132154 | + | 0.708491i | −0.0106840 | + | 0.0572781i | ||||
\(154\) | −4.40246 | − | 2.08375i | −0.354761 | − | 0.167913i | ||||
\(155\) | 3.55133 | + | 3.35051i | 0.285250 | + | 0.269119i | ||||
\(156\) | 2.46100 | − | 7.03776i | 0.197038 | − | 0.563471i | ||||
\(157\) | 2.17823 | + | 3.31184i | 0.173842 | + | 0.264313i | 0.911890 | − | 0.410434i | \(-0.134623\pi\) |
−0.738049 | + | 0.674748i | \(0.764252\pi\) | |||||||
\(158\) | 10.2500 | + | 19.2737i | 0.815443 | + | 1.53334i | ||||
\(159\) | 1.45846 | − | 0.120345i | 0.115664 | − | 0.00954396i | ||||
\(160\) | 0.476165 | − | 2.70663i | 0.0376441 | − | 0.213978i | ||||
\(161\) | − | 0.792119i | − | 0.0624278i | ||||||
\(162\) | 11.9759 | + | 4.31017i | 0.940916 | + | 0.338639i | ||||
\(163\) | 16.7882 | 1.31495 | 0.657475 | − | 0.753476i | \(-0.271625\pi\) | ||||
0.657475 | + | 0.753476i | \(0.271625\pi\) | |||||||
\(164\) | −9.95296 | − | 13.6946i | −0.777195 | − | 1.06937i | ||||
\(165\) | −2.55437 | + | 1.76985i | −0.198857 | + | 0.137783i | ||||
\(166\) | −2.80598 | − | 5.27629i | −0.217786 | − | 0.409520i | ||||
\(167\) | 17.3272 | − | 11.3963i | 1.34082 | − | 0.881870i | 0.342481 | − | 0.939525i | \(-0.388733\pi\) |
0.998337 | + | 0.0576551i | \(0.0183624\pi\) | |||||||
\(168\) | −0.366632 | + | 4.55395i | −0.0282862 | + | 0.351345i | ||||
\(169\) | −5.74232 | + | 6.08651i | −0.441717 | + | 0.468193i | ||||
\(170\) | −0.0706126 | + | 0.149188i | −0.00541574 | + | 0.0114422i | ||||
\(171\) | 0.115196 | − | 11.6632i | 0.00880928 | − | 0.891908i | ||||
\(172\) | −1.34843 | + | 3.57650i | −0.102817 | + | 0.272706i | ||||
\(173\) | 15.4431 | − | 7.75583i | 1.17412 | − | 0.589664i | 0.248689 | − | 0.968583i | \(-0.420000\pi\) |
0.925430 | + | 0.378919i | \(0.123704\pi\) | |||||||
\(174\) | 16.7689 | + | 8.64709i | 1.27125 | + | 0.655535i | ||||
\(175\) | 4.07944 | − | 1.75970i | 0.308376 | − | 0.133021i | ||||
\(176\) | −2.05136 | + | 14.6293i | −0.154627 | + | 1.10272i | ||||
\(177\) | 2.43512 | + | 3.11117i | 0.183035 | + | 0.233850i | ||||
\(178\) | −12.8335 | + | 2.57319i | −0.961909 | + | 0.192868i | ||||
\(179\) | −6.52494 | − | 7.77612i | −0.487697 | − | 0.581215i | 0.464933 | − | 0.885346i | \(-0.346078\pi\) |
−0.952630 | + | 0.304131i | \(0.901634\pi\) | |||||||
\(180\) | 2.40061 | + | 1.65341i | 0.178931 | + | 0.123238i | ||||
\(181\) | −0.335615 | + | 0.399970i | −0.0249461 | + | 0.0297295i | −0.778373 | − | 0.627802i | \(-0.783955\pi\) |
0.753427 | + | 0.657531i | \(0.228399\pi\) | |||||||
\(182\) | −1.36149 | + | 2.49071i | −0.100920 | + | 0.184624i | ||||
\(183\) | 1.03551 | − | 6.83389i | 0.0765474 | − | 0.505176i | ||||
\(184\) | −2.29316 | + | 0.716293i | −0.169054 | + | 0.0528058i | ||||
\(185\) | −2.27443 | + | 2.14581i | −0.167219 | + | 0.157763i | ||||
\(186\) | −8.66605 | + | 23.0412i | −0.635426 | + | 1.68947i | ||||
\(187\) | 0.351409 | − | 0.814659i | 0.0256976 | − | 0.0595737i | ||||
\(188\) | −11.0507 | − | 6.55042i | −0.805957 | − | 0.477739i | ||||
\(189\) | −4.23076 | − | 2.36276i | −0.307742 | − | 0.171866i | ||||
\(190\) | 0.706156 | − | 2.57617i | 0.0512299 | − | 0.186895i | ||||
\(191\) | 3.91819 | − | 0.457971i | 0.283510 | − | 0.0331376i | 0.0268507 | − | 0.999639i | \(-0.491452\pi\) |
0.256660 | + | 0.966502i | \(0.417378\pi\) | |||||||
\(192\) | 13.5151 | − | 3.05663i | 0.975366 | − | 0.220593i | ||||
\(193\) | −1.48159 | + | 0.351142i | −0.106647 | + | 0.0252758i | −0.283593 | − | 0.958945i | \(-0.591526\pi\) |
0.176946 | + | 0.984221i | \(0.443378\pi\) | |||||||
\(194\) | −14.7862 | + | 16.4243i | −1.06159 | + | 1.17920i | ||||
\(195\) | 0.943130 | + | 1.54608i | 0.0675390 | + | 0.110717i | ||||
\(196\) | −2.96425 | + | 11.8969i | −0.211732 | + | 0.849776i | ||||
\(197\) | 0.494678 | − | 2.80546i | 0.0352444 | − | 0.199881i | −0.962101 | − | 0.272692i | \(-0.912086\pi\) |
0.997346 | + | 0.0728113i | \(0.0231971\pi\) | |||||||
\(198\) | −13.2056 | − | 8.43284i | −0.938484 | − | 0.599296i | ||||
\(199\) | −12.3977 | + | 2.18605i | −0.878852 | + | 0.154965i | −0.594829 | − | 0.803852i | \(-0.702780\pi\) |
−0.284023 | + | 0.958818i | \(0.591669\pi\) | |||||||
\(200\) | −8.78319 | − | 10.2186i | −0.621066 | − | 0.722564i | ||||
\(201\) | −12.3646 | + | 19.8262i | −0.872129 | + | 1.39843i | ||||
\(202\) | −4.05543 | + | 0.570276i | −0.285339 | + | 0.0401245i | ||||
\(203\) | −5.76177 | − | 4.28948i | −0.404397 | − | 0.301063i | ||||
\(204\) | −0.831343 | − | 0.0378578i | −0.0582057 | − | 0.00265058i | ||||
\(205\) | 4.10533 | + | 0.239108i | 0.286729 | + | 0.0167000i | ||||
\(206\) | 8.52994 | + | 6.04599i | 0.594309 | + | 0.421244i | ||||
\(207\) | 0.320805 | − | 2.52789i | 0.0222975 | − | 0.175700i | ||||
\(208\) | 8.44168 | + | 1.68918i | 0.585326 | + | 0.117124i | ||||
\(209\) | −3.31130 | + | 13.9715i | −0.229047 | + | 0.966427i | ||||
\(210\) | −0.799042 | − | 0.770148i | −0.0551391 | − | 0.0531453i | ||||
\(211\) | 0.569526 | + | 9.77839i | 0.0392078 | + | 0.673172i | 0.959460 | + | 0.281846i | \(0.0909466\pi\) |
−0.920252 | + | 0.391326i | \(0.872016\pi\) | |||||||
\(212\) | 0.370797 | + | 1.64863i | 0.0254664 | + | 0.113228i | ||||
\(213\) | 5.28961 | − | 5.23762i | 0.362438 | − | 0.358876i | ||||
\(214\) | −1.54311 | + | 1.92872i | −0.105485 | + | 0.131845i | ||||
\(215\) | −0.464230 | − | 0.804070i | −0.0316602 | − | 0.0548371i | ||||
\(216\) | −3.01436 | + | 14.3845i | −0.205101 | + | 0.978741i | ||||
\(217\) | 4.68614 | − | 8.11664i | 0.318116 | − | 0.550993i | ||||
\(218\) | −1.19359 | − | 3.05544i | −0.0808399 | − | 0.206940i | ||||
\(219\) | 0.247589 | − | 2.67760i | 0.0167305 | − | 0.180935i | ||||
\(220\) | −2.43235 | − | 2.63816i | −0.163989 | − | 0.177865i | ||||
\(221\) | −0.462054 | − | 0.232052i | −0.0310811 | − | 0.0156095i | ||||
\(222\) | −14.4089 | − | 6.39874i | −0.967064 | − | 0.429456i | ||||
\(223\) | 21.5637 | − | 6.45575i | 1.44401 | − | 0.432309i | 0.533504 | − | 0.845798i | \(-0.320875\pi\) |
0.910509 | + | 0.413488i | \(0.135690\pi\) | |||||||
\(224\) | −5.26641 | + | 0.308794i | −0.351877 | + | 0.0206322i | ||||
\(225\) | 13.7313 | − | 3.96355i | 0.915423 | − | 0.264237i | ||||
\(226\) | 0.299538 | − | 3.21133i | 0.0199249 | − | 0.213614i | ||||
\(227\) | −7.54329 | + | 11.4690i | −0.500666 | + | 0.761225i | −0.994089 | − | 0.108564i | \(-0.965375\pi\) |
0.493424 | + | 0.869789i | \(0.335745\pi\) | |||||||
\(228\) | 13.3562 | − | 1.73293i | 0.884537 | − | 0.114766i | ||||
\(229\) | −0.374671 | + | 3.20551i | −0.0247589 | + | 0.211826i | −0.999955 | − | 0.00951790i | \(-0.996970\pi\) |
0.975196 | + | 0.221344i | \(0.0710444\pi\) | |||||||
\(230\) | 0.218567 | − | 0.541095i | 0.0144119 | − | 0.0356787i | ||||
\(231\) | 4.43664 | + | 3.98771i | 0.291909 | + | 0.262372i | ||||
\(232\) | −7.20769 | + | 20.5590i | −0.473208 | + | 1.34977i | ||||
\(233\) | −3.65202 | + | 10.0338i | −0.239252 | + | 0.657338i | 0.760714 | + | 0.649087i | \(0.224849\pi\) |
−0.999966 | + | 0.00825163i | \(0.997373\pi\) | |||||||
\(234\) | −5.35364 | + | 7.39719i | −0.349978 | + | 0.483569i | ||||
\(235\) | 2.93229 | − | 1.06726i | 0.191281 | − | 0.0696207i | ||||
\(236\) | −3.16855 | + | 3.28215i | −0.206255 | + | 0.213650i | ||||
\(237\) | −5.27710 | − | 26.2099i | −0.342785 | − | 1.70252i | ||||
\(238\) | 0.309921 | + | 0.0658506i | 0.0200892 | + | 0.00426846i | ||||
\(239\) | 5.36658 | − | 17.9256i | 0.347135 | − | 1.15951i | −0.589077 | − | 0.808077i | \(-0.700509\pi\) |
0.936212 | − | 0.351435i | \(-0.114306\pi\) | |||||||
\(240\) | −1.50700 | + | 3.00962i | −0.0972766 | + | 0.194270i | ||||
\(241\) | −10.5179 | − | 14.1280i | −0.677520 | − | 0.910067i | 0.321805 | − | 0.946806i | \(-0.395710\pi\) |
−0.999325 | + | 0.0367387i | \(0.988303\pi\) | |||||||
\(242\) | 2.62379 | + | 2.65409i | 0.168664 | + | 0.170611i | ||||
\(243\) | −12.5447 | − | 9.25371i | −0.804741 | − | 0.593626i | ||||
\(244\) | 7.98065 | + | 0.0916184i | 0.510909 | + | 0.00586527i | ||||
\(245\) | −1.77846 | − | 2.38889i | −0.113622 | − | 0.152620i | ||||
\(246\) | 6.88304 | + | 19.5583i | 0.438847 | + | 1.24699i | ||||
\(247\) | 8.01628 | + | 2.39992i | 0.510064 | + | 0.152703i | ||||
\(248\) | −27.7350 | − | 6.22658i | −1.76117 | − | 0.395388i | ||||
\(249\) | 1.44464 | + | 7.17511i | 0.0915500 | + | 0.454704i | ||||
\(250\) | 6.70651 | − | 0.156619i | 0.424157 | − | 0.00990546i | ||||
\(251\) | −3.22211 | − | 8.85267i | −0.203378 | − | 0.558776i | 0.795509 | − | 0.605941i | \(-0.207203\pi\) |
−0.998887 | + | 0.0471656i | \(0.984981\pi\) | |||||||
\(252\) | 2.02561 | − | 5.21595i | 0.127601 | − | 0.328574i | ||||
\(253\) | −1.07287 | + | 2.94769i | −0.0674509 | + | 0.185320i | ||||
\(254\) | −9.42867 | + | 27.9164i | −0.591607 | + | 1.75163i | ||||
\(255\) | 0.135133 | − | 0.150346i | 0.00846233 | − | 0.00941501i | ||||
\(256\) | 5.65623 | + | 14.9669i | 0.353514 | + | 0.935429i | ||||
\(257\) | 1.02413 | − | 8.76197i | 0.0638833 | − | 0.546557i | −0.922962 | − | 0.384891i | \(-0.874239\pi\) |
0.986846 | − | 0.161666i | \(-0.0516867\pi\) | |||||||
\(258\) | 2.83541 | − | 3.72491i | 0.176525 | − | 0.231903i | ||||
\(259\) | 5.01495 | + | 3.29838i | 0.311614 | + | 0.204952i | ||||
\(260\) | −1.61728 | + | 1.32573i | −0.100300 | + | 0.0822180i | ||||
\(261\) | −16.6503 | − | 16.0225i | −1.03063 | − | 0.991767i | ||||
\(262\) | 16.1306 | − | 1.31800i | 0.996553 | − | 0.0814261i | ||||
\(263\) | −2.65265 | − | 8.86047i | −0.163569 | − | 0.546360i | 0.836429 | − | 0.548075i | \(-0.184639\pi\) |
−0.999999 | + | 0.00171513i | \(0.999454\pi\) | |||||||
\(264\) | 7.53235 | − | 16.4499i | 0.463584 | − | 1.01242i | ||||
\(265\) | −0.366810 | − | 0.184219i | −0.0225329 | − | 0.0113165i | ||||
\(266\) | −5.12454 | − | 0.178553i | −0.314206 | − | 0.0109478i | ||||
\(267\) | 15.9625 | + | 1.47600i | 0.976886 | + | 0.0903297i | ||||
\(268\) | −24.6496 | − | 10.9701i | −1.50572 | − | 0.670107i | ||||
\(269\) | −7.50663 | + | 13.0019i | −0.457687 | + | 0.792738i | −0.998838 | − | 0.0481878i | \(-0.984655\pi\) |
0.541151 | + | 0.840925i | \(0.317989\pi\) | |||||||
\(270\) | −2.23807 | − | 2.78138i | −0.136205 | − | 0.169269i | ||||
\(271\) | −3.93492 | + | 2.27183i | −0.239029 | + | 0.138004i | −0.614731 | − | 0.788737i | \(-0.710735\pi\) |
0.375701 | + | 0.926741i | \(0.377402\pi\) | |||||||
\(272\) | −0.0896184 | − | 0.956760i | −0.00543391 | − | 0.0580121i | ||||
\(273\) | 2.47035 | − | 2.44608i | 0.149513 | − | 0.148043i | ||||
\(274\) | 1.34490 | − | 2.15266i | 0.0812481 | − | 0.130047i | ||||
\(275\) | −17.5641 | + | 1.02299i | −1.05915 | + | 0.0616887i | ||||
\(276\) | 2.94213 | − | 0.0372816i | 0.177095 | − | 0.00224409i | ||||
\(277\) | 5.71858 | − | 24.1286i | 0.343596 | − | 1.44975i | −0.477336 | − | 0.878721i | \(-0.658398\pi\) |
0.820932 | − | 0.571025i | \(-0.193454\pi\) | |||||||
\(278\) | −18.0665 | + | 12.4964i | −1.08356 | + | 0.749482i | ||||
\(279\) | 18.2421 | − | 24.0047i | 1.09212 | − | 1.43712i | ||||
\(280\) | 0.752978 | − | 1.03690i | 0.0449990 | − | 0.0619664i | ||||
\(281\) | 11.1226 | + | 0.647818i | 0.663519 | + | 0.0386456i | 0.386600 | − | 0.922248i | \(-0.373649\pi\) |
0.276919 | + | 0.960893i | \(0.410686\pi\) | |||||||
\(282\) | 10.6741 | + | 11.5587i | 0.635634 | + | 0.688311i | ||||
\(283\) | −2.54316 | + | 3.41606i | −0.151175 | + | 0.203064i | −0.871259 | − | 0.490823i | \(-0.836696\pi\) |
0.720084 | + | 0.693887i | \(0.244103\pi\) | |||||||
\(284\) | 6.83531 | + | 5.21171i | 0.405601 | + | 0.309258i | ||||
\(285\) | −1.73121 | + | 2.77595i | −0.102548 | + | 0.164433i | ||||
\(286\) | 8.43997 | − | 7.42457i | 0.499066 | − | 0.439024i | ||||
\(287\) | −1.37077 | − | 7.77404i | −0.0809142 | − | 0.458887i | ||||
\(288\) | −16.9317 | − | 1.14743i | −0.997712 | − | 0.0676127i | ||||
\(289\) | 2.94200 | − | 16.6849i | 0.173059 | − | 0.981464i | ||||
\(290\) | −2.75227 | − | 4.51996i | −0.161619 | − | 0.265421i | ||||
\(291\) | 23.1064 | − | 14.0952i | 1.35452 | − | 0.826276i | ||||
\(292\) | 3.10163 | − | 0.144945i | 0.181509 | − | 0.00848228i | ||||
\(293\) | 23.2839 | − | 5.51839i | 1.36026 | − | 0.322388i | 0.515205 | − | 0.857067i | \(-0.327716\pi\) |
0.845055 | + | 0.534679i | \(0.179567\pi\) | |||||||
\(294\) | 7.64648 | − | 12.9234i | 0.445952 | − | 0.753709i | ||||
\(295\) | −0.128650 | − | 1.10067i | −0.00749027 | − | 0.0640833i | ||||
\(296\) | 5.01383 | − | 17.5008i | 0.291423 | − | 1.01721i | ||||
\(297\) | 12.5436 | + | 14.5228i | 0.727854 | + | 0.842696i | ||||
\(298\) | 11.7088 | − | 3.06545i | 0.678274 | − | 0.177577i | ||||
\(299\) | 1.67859 | + | 0.724073i | 0.0970753 | + | 0.0418742i | ||||
\(300\) | 6.72795 | + | 15.0692i | 0.388438 | + | 0.870021i | ||||
\(301\) | −1.29638 | + | 1.22307i | −0.0747222 | + | 0.0704967i | ||||
\(302\) | 24.7056 | − | 8.02948i | 1.42165 | − | 0.462045i | ||||
\(303\) | 4.95912 | + | 0.751438i | 0.284894 | + | 0.0431690i | ||||
\(304\) | 4.11708 | + | 14.9968i | 0.236131 | + | 0.860128i | ||||
\(305\) | −1.24617 | + | 1.48513i | −0.0713555 | + | 0.0850382i | ||||
\(306\) | 0.962381 | + | 0.335665i | 0.0550156 | + | 0.0191887i | ||||
\(307\) | −0.525391 | + | 0.440856i | −0.0299857 | + | 0.0251610i | −0.657657 | − | 0.753317i | \(-0.728453\pi\) |
0.627672 | + | 0.778478i | \(0.284008\pi\) | |||||||
\(308\) | −3.85095 | + | 5.71118i | −0.219428 | + | 0.325425i | ||||
\(309\) | −7.89248 | − | 10.0836i | −0.448988 | − | 0.573637i | ||||
\(310\) | 5.44069 | − | 4.25142i | 0.309011 | − | 0.241464i | ||||
\(311\) | −5.84253 | − | 13.5445i | −0.331300 | − | 0.768039i | −0.999706 | − | 0.0242426i | \(-0.992283\pi\) |
0.668406 | − | 0.743796i | \(-0.266977\pi\) | |||||||
\(312\) | −9.31519 | − | 4.93968i | −0.527369 | − | 0.279654i | ||||
\(313\) | −5.62291 | + | 2.82393i | −0.317826 | + | 0.159618i | −0.600559 | − | 0.799581i | \(-0.705055\pi\) |
0.282733 | + | 0.959199i | \(0.408759\pi\) | |||||||
\(314\) | 5.09417 | − | 2.33995i | 0.287481 | − | 0.132051i | ||||
\(315\) | 0.667936 | + | 1.18375i | 0.0376339 | + | 0.0666966i | ||||
\(316\) | 29.1295 | − | 10.2251i | 1.63866 | − | 0.575208i | ||||
\(317\) | 12.1820 | − | 12.9122i | 0.684210 | − | 0.725220i | −0.288439 | − | 0.957498i | \(-0.593136\pi\) |
0.972649 | + | 0.232278i | \(0.0746179\pi\) | |||||||
\(318\) | 0.142390 | − | 2.06469i | 0.00798486 | − | 0.115782i | ||||
\(319\) | 15.6313 | + | 23.7663i | 0.875186 | + | 1.33066i | ||||
\(320\) | −3.68268 | − | 1.24221i | −0.205868 | − | 0.0694417i | ||||
\(321\) | 2.48662 | − | 1.72291i | 0.138790 | − | 0.0961637i | ||||
\(322\) | −1.10745 | − | 0.168716i | −0.0617157 | − | 0.00940216i | ||||
\(323\) | − | 0.934024i | − | 0.0519705i | ||||||
\(324\) | 8.57675 | − | 15.8253i | 0.476486 | − | 0.879182i | ||||
\(325\) | 10.2533i | 0.568752i | ||||||||
\(326\) | 3.57576 | − | 23.4712i | 0.198043 | − | 1.29995i | ||||
\(327\) | 0.330382 | + | 4.00392i | 0.0182702 | + | 0.221417i | ||||
\(328\) | −21.2661 | + | 10.9982i | −1.17422 | + | 0.607274i | ||||
\(329\) | −3.29160 | − | 5.00464i | −0.181472 | − | 0.275915i | ||||
\(330\) | 1.93034 | + | 3.94818i | 0.106262 | + | 0.217340i | ||||
\(331\) | 9.93529 | − | 10.5308i | 0.546093 | − | 0.578825i | −0.394271 | − | 0.918994i | \(-0.629003\pi\) |
0.940364 | + | 0.340169i | \(0.110484\pi\) | |||||||
\(332\) | −7.97435 | + | 2.79918i | −0.437649 | + | 0.153625i | ||||
\(333\) | 14.6683 | + | 12.5571i | 0.803820 | + | 0.688127i | ||||
\(334\) | −12.2424 | − | 26.6521i | −0.669872 | − | 1.45834i | ||||
\(335\) | 5.85669 | − | 2.94134i | 0.319985 | − | 0.160703i | ||||
\(336\) | 6.28870 | + | 1.48254i | 0.343077 | + | 0.0808791i | ||||
\(337\) | 10.4988 | + | 24.3390i | 0.571908 | + | 1.32583i | 0.921299 | + | 0.388855i | \(0.127129\pi\) |
−0.349391 | + | 0.936977i | \(0.613611\pi\) | |||||||
\(338\) | 7.28637 | + | 9.32462i | 0.396326 | + | 0.507193i | ||||
\(339\) | −1.47652 | + | 3.66379i | −0.0801937 | + | 0.198990i | ||||
\(340\) | 0.193536 | + | 0.130498i | 0.0104960 | + | 0.00707725i | ||||
\(341\) | −28.4319 | + | 23.8572i | −1.53967 | + | 1.29194i | ||||
\(342\) | −16.2816 | − | 2.64523i | −0.880408 | − | 0.143038i | ||||
\(343\) | −7.87095 | + | 9.38024i | −0.424992 | + | 0.506485i | ||||
\(344\) | 4.71304 | + | 2.64699i | 0.254110 | + | 0.142716i | ||||
\(345\) | −0.446061 | + | 0.558446i | −0.0240151 | + | 0.0300657i | ||||
\(346\) | −7.55401 | − | 23.2427i | −0.406106 | − | 1.24953i | ||||
\(347\) | −5.07629 | + | 4.78923i | −0.272510 | + | 0.257099i | −0.810349 | − | 0.585948i | \(-0.800722\pi\) |
0.537839 | + | 0.843047i | \(0.319241\pi\) | |||||||
\(348\) | 15.6610 | − | 21.6025i | 0.839518 | − | 1.15802i | ||||
\(349\) | 14.1486 | + | 6.10311i | 0.757357 | + | 0.326692i | 0.739507 | − | 0.673149i | \(-0.235059\pi\) |
0.0178500 | + | 0.999841i | \(0.494318\pi\) | |||||||
\(350\) | −1.59131 | − | 6.07819i | −0.0850592 | − | 0.324893i | ||||
\(351\) | 8.87427 | − | 6.80566i | 0.473674 | − | 0.363259i | ||||
\(352\) | 20.0160 | + | 5.98390i | 1.06686 | + | 0.318943i | ||||
\(353\) | −4.25916 | − | 36.4394i | −0.226692 | − | 1.93947i | −0.328130 | − | 0.944632i | \(-0.606418\pi\) |
0.101438 | − | 0.994842i | \(-0.467656\pi\) | |||||||
\(354\) | 4.86833 | − | 2.74184i | 0.258749 | − | 0.145727i | ||||
\(355\) | −2.03165 | + | 0.481511i | −0.107829 | + | 0.0255559i | ||||
\(356\) | 0.864090 | + | 18.4903i | 0.0457967 | + | 0.979984i | ||||
\(357\) | −0.340647 | − | 0.185852i | −0.0180289 | − | 0.00983634i | ||||
\(358\) | −12.2614 | + | 7.46615i | −0.648036 | + | 0.394598i | ||||
\(359\) | −2.08749 | + | 11.8387i | −0.110174 | + | 0.624825i | 0.878854 | + | 0.477092i | \(0.158309\pi\) |
−0.989027 | + | 0.147734i | \(0.952802\pi\) | |||||||
\(360\) | 2.82291 | − | 3.00408i | 0.148781 | − | 0.158329i | ||||
\(361\) | −0.674454 | − | 3.82502i | −0.0354976 | − | 0.201317i | ||||
\(362\) | 0.487708 | + | 0.554408i | 0.0256333 | + | 0.0291390i | ||||
\(363\) | −2.14943 | − | 4.03393i | −0.112816 | − | 0.211727i | ||||
\(364\) | 3.19223 | + | 2.43398i | 0.167318 | + | 0.127575i | ||||
\(365\) | −0.450397 | + | 0.604989i | −0.0235749 | + | 0.0316666i | ||||
\(366\) | −9.33378 | − | 2.90330i | −0.487885 | − | 0.151758i | ||||
\(367\) | −33.4571 | − | 1.94865i | −1.74645 | − | 0.101719i | −0.845043 | − | 0.534699i | \(-0.820425\pi\) |
−0.901404 | + | 0.432980i | \(0.857462\pi\) | |||||||
\(368\) | 0.513009 | + | 3.35859i | 0.0267425 | + | 0.175079i | ||||
\(369\) | −1.22608 | − | 25.3644i | −0.0638273 | − | 1.32042i | ||||
\(370\) | 2.51558 | + | 3.63688i | 0.130779 | + | 0.189072i | ||||
\(371\) | −0.181712 | + | 0.766702i | −0.00943401 | + | 0.0398052i | ||||
\(372\) | 30.3677 | + | 17.0235i | 1.57449 | + | 0.882626i | ||||
\(373\) | 23.8028 | − | 1.38635i | 1.23246 | − | 0.0717827i | 0.570485 | − | 0.821308i | \(-0.306755\pi\) |
0.661976 | + | 0.749525i | \(0.269718\pi\) | |||||||
\(374\) | −1.06411 | − | 0.664816i | −0.0550239 | − | 0.0343768i | ||||
\(375\) | −7.92546 | − | 2.16562i | −0.409269 | − | 0.111832i | ||||
\(376\) | −11.5118 | + | 14.0546i | −0.593673 | + | 0.724813i | ||||
\(377\) | 14.3567 | − | 8.28885i | 0.739408 | − | 0.426897i | ||||
\(378\) | −4.20446 | + | 5.41170i | −0.216254 | + | 0.278348i | ||||
\(379\) | −8.02095 | + | 13.8927i | −0.412009 | + | 0.713620i | −0.995109 | − | 0.0987801i | \(-0.968506\pi\) |
0.583101 | + | 0.812400i | \(0.301839\pi\) | |||||||
\(380\) | −3.45129 | − | 1.53597i | −0.177048 | − | 0.0787936i | ||||
\(381\) | 20.8449 | − | 29.4589i | 1.06792 | − | 1.50923i | ||||
\(382\) | 0.194265 | − | 5.57550i | 0.00993948 | − | 0.285267i | ||||
\(383\) | −32.9073 | − | 16.5267i | −1.68149 | − | 0.844474i | −0.992850 | − | 0.119365i | \(-0.961914\pi\) |
−0.688635 | − | 0.725108i | \(-0.741790\pi\) | |||||||
\(384\) | −1.39480 | − | 19.5462i | −0.0711783 | − | 0.997464i | ||||
\(385\) | −0.479881 | − | 1.60291i | −0.0244570 | − | 0.0816921i | ||||
\(386\) | 0.175359 | + | 2.14617i | 0.00892553 | + | 0.109237i | ||||
\(387\) | −4.63247 | + | 3.37815i | −0.235482 | + | 0.171721i | ||||
\(388\) | 19.8132 | + | 24.1705i | 1.00586 | + | 1.22707i | ||||
\(389\) | 30.5819 | + | 20.1140i | 1.55056 | + | 1.01982i | 0.980101 | + | 0.198500i | \(0.0636069\pi\) |
0.570464 | + | 0.821323i | \(0.306763\pi\) | |||||||
\(390\) | 2.36243 | − | 0.989269i | 0.119626 | − | 0.0500936i | ||||
\(391\) | 0.0236892 | − | 0.202674i | 0.00119802 | − | 0.0102497i | ||||
\(392\) | 16.0014 | + | 6.67821i | 0.808194 | + | 0.337301i | ||||
\(393\) | −19.3922 | − | 4.10411i | −0.978206 | − | 0.207025i | ||||
\(394\) | −3.81690 | − | 1.28914i | −0.192293 | − | 0.0649461i | ||||
\(395\) | −2.56483 | + | 7.04682i | −0.129051 | + | 0.354564i | ||||
\(396\) | −14.6025 | + | 16.6664i | −0.733803 | + | 0.837520i | ||||
\(397\) | −9.13556 | − | 25.0998i | −0.458501 | − | 1.25972i | −0.926601 | − | 0.376045i | \(-0.877284\pi\) |
0.468101 | − | 0.883675i | \(-0.344939\pi\) | |||||||
\(398\) | 0.415657 | + | 17.7987i | 0.0208350 | + | 0.892166i | ||||
\(399\) | 5.95148 | + | 2.00478i | 0.297946 | + | 0.100364i | ||||
\(400\) | −16.1572 | + | 10.1031i | −0.807860 | + | 0.505157i | ||||
\(401\) | 25.0358 | + | 7.49523i | 1.25023 | + | 0.374294i | 0.842444 | − | 0.538784i | \(-0.181116\pi\) |
0.407785 | + | 0.913078i | \(0.366301\pi\) | |||||||
\(402\) | 25.0851 | + | 21.5095i | 1.25113 | + | 1.07280i | ||||
\(403\) | 12.9165 | + | 17.3498i | 0.643416 | + | 0.864257i | ||||
\(404\) | −0.0664844 | + | 5.79129i | −0.00330772 | + | 0.288127i | ||||
\(405\) | 1.65217 | + | 4.04819i | 0.0820968 | + | 0.201156i | ||||
\(406\) | −7.22426 | + | 7.14181i | −0.358534 | + | 0.354442i | ||||
\(407\) | −14.1946 | − | 19.0666i | −0.703598 | − | 0.945096i | ||||
\(408\) | −0.229998 | + | 1.15422i | −0.0113866 | + | 0.0571426i | ||||
\(409\) | −5.02767 | + | 16.7936i | −0.248602 | + | 0.830390i | 0.739039 | + | 0.673662i | \(0.235280\pi\) |
−0.987642 | + | 0.156728i | \(0.949905\pi\) | |||||||
\(410\) | 1.20870 | − | 5.68866i | 0.0596934 | − | 0.280943i | ||||
\(411\) | −2.33245 | + | 2.05516i | −0.115051 | + | 0.101373i | ||||
\(412\) | 10.2696 | − | 10.6378i | 0.505947 | − | 0.524087i | ||||
\(413\) | −1.99894 | + | 0.727556i | −0.0983615 | + | 0.0358007i | ||||
\(414\) | −3.46586 | − | 0.986934i | −0.170338 | − | 0.0485051i | ||||
\(415\) | 0.702137 | − | 1.92911i | 0.0344666 | − | 0.0946961i | ||||
\(416\) | 4.15964 | − | 11.4424i | 0.203943 | − | 0.561009i | ||||
\(417\) | 25.5801 | − | 8.33635i | 1.25266 | − | 0.408233i | ||||
\(418\) | 18.8280 | + | 7.60529i | 0.920906 | + | 0.371987i | ||||
\(419\) | −4.17341 | + | 35.7058i | −0.203884 | + | 1.74434i | 0.373284 | + | 0.927717i | \(0.378232\pi\) |
−0.577169 | + | 0.816625i | \(0.695842\pi\) | |||||||
\(420\) | −1.24692 | + | 0.953090i | −0.0608435 | + | 0.0465060i | ||||
\(421\) | 10.7050 | − | 16.2762i | 0.521731 | − | 0.793253i | −0.474476 | − | 0.880268i | \(-0.657363\pi\) |
0.996207 | + | 0.0870155i | \(0.0277330\pi\) | |||||||
\(422\) | 13.7923 | + | 1.28648i | 0.671398 | + | 0.0626249i | ||||
\(423\) | −8.47760 | − | 17.3043i | −0.412195 | − | 0.841366i | ||||
\(424\) | 2.38390 | − | 0.167259i | 0.115772 | − | 0.00812280i | ||||
\(425\) | 1.09640 | − | 0.328242i | 0.0531834 | − | 0.0159221i | ||||
\(426\) | −6.19597 | − | 8.51088i | −0.300196 | − | 0.412353i | ||||
\(427\) | 3.32568 | + | 1.67022i | 0.160941 | + | 0.0808277i | ||||
\(428\) | 2.36784 | + | 2.56820i | 0.114454 | + | 0.124139i | ||||
\(429\) | −12.5059 | + | 5.75659i | −0.603791 | + | 0.277931i | ||||
\(430\) | −1.22303 | + | 0.477771i | −0.0589799 | + | 0.0230401i | ||||
\(431\) | −3.51375 | + | 6.08600i | −0.169252 | + | 0.293152i | −0.938157 | − | 0.346210i | \(-0.887468\pi\) |
0.768905 | + | 0.639363i | \(0.220802\pi\) | |||||||
\(432\) | 19.4687 | + | 7.27812i | 0.936687 | + | 0.350169i | ||||
\(433\) | 3.30268 | + | 5.72042i | 0.158717 | + | 0.274906i | 0.934406 | − | 0.356209i | \(-0.115931\pi\) |
−0.775689 | + | 0.631115i | \(0.782598\pi\) | |||||||
\(434\) | −10.3496 | − | 8.28040i | −0.496797 | − | 0.397472i | ||||
\(435\) | 1.64655 | + | 6.26869i | 0.0789462 | + | 0.300560i | ||||
\(436\) | −4.52598 | + | 1.01795i | −0.216755 | + | 0.0487508i | ||||
\(437\) | 0.192015 | + | 3.29677i | 0.00918531 | + | 0.157706i | ||||
\(438\) | −3.69076 | − | 0.916458i | −0.176352 | − | 0.0437901i | ||||
\(439\) | 0.210074 | − | 0.886372i | 0.0100263 | − | 0.0423042i | −0.967802 | − | 0.251713i | \(-0.919006\pi\) |
0.977828 | + | 0.209409i | \(0.0671541\pi\) | |||||||
\(440\) | −4.20644 | + | 2.83871i | −0.200534 | + | 0.135330i | ||||
\(441\) | −13.5010 | + | 12.4879i | −0.642907 | + | 0.594660i | ||||
\(442\) | −0.422842 | + | 0.596564i | −0.0201126 | + | 0.0283757i | ||||
\(443\) | −12.6494 | − | 0.736746i | −0.600993 | − | 0.0350038i | −0.245048 | − | 0.969511i | \(-0.578804\pi\) |
−0.355945 | + | 0.934507i | \(0.615841\pi\) | |||||||
\(444\) | −12.0150 | + | 18.7820i | −0.570205 | + | 0.891353i | ||||
\(445\) | −3.60663 | − | 2.68504i | −0.170971 | − | 0.127283i | ||||
\(446\) | −4.43276 | − | 31.5229i | −0.209897 | − | 1.49265i | ||||
\(447\) | −14.8151 | − | 0.504308i | −0.700728 | − | 0.0238530i | ||||
\(448\) | −0.689988 | + | 7.42865i | −0.0325989 | + | 0.350971i | ||||
\(449\) | 20.8258 | − | 3.67216i | 0.982832 | − | 0.173300i | 0.340932 | − | 0.940088i | \(-0.389257\pi\) |
0.641900 | + | 0.766788i | \(0.278146\pi\) | |||||||
\(450\) | −2.61670 | − | 20.0418i | −0.123352 | − | 0.944778i | ||||
\(451\) | −5.42840 | + | 30.7860i | −0.255613 | + | 1.44965i | ||||
\(452\) | −4.42590 | − | 1.10277i | −0.208177 | − | 0.0518698i | ||||
\(453\) | −31.8068 | + | 0.768300i | −1.49441 | + | 0.0360979i | ||||
\(454\) | 14.4280 | + | 12.9890i | 0.677138 | + | 0.609602i | ||||
\(455\) | −0.948824 | + | 0.224875i | −0.0444815 | + | 0.0105423i | ||||
\(456\) | 0.421999 | − | 19.0422i | 0.0197619 | − | 0.891733i | ||||
\(457\) | −24.9580 | + | 2.91718i | −1.16749 | + | 0.136460i | −0.677671 | − | 0.735366i | \(-0.737010\pi\) |
−0.489817 | + | 0.871825i | \(0.662936\pi\) | |||||||
\(458\) | 4.40177 | + | 1.20657i | 0.205681 | + | 0.0563794i | ||||
\(459\) | −1.01183 | − | 0.731070i | −0.0472284 | − | 0.0341234i | ||||
\(460\) | −0.709942 | − | 0.420824i | −0.0331012 | − | 0.0196210i | ||||
\(461\) | −7.68437 | + | 17.8144i | −0.357897 | + | 0.829699i | 0.640210 | + | 0.768200i | \(0.278847\pi\) |
−0.998107 | + | 0.0614987i | \(0.980412\pi\) | |||||||
\(462\) | 6.52011 | − | 5.35343i | 0.303343 | − | 0.249064i | ||||
\(463\) | 20.8137 | − | 19.6367i | 0.967293 | − | 0.912594i | −0.0289166 | − | 0.999582i | \(-0.509206\pi\) |
0.996209 | + | 0.0869882i | \(0.0277242\pi\) | |||||||
\(464\) | 27.2080 | + | 14.4559i | 1.26310 | + | 0.671097i | ||||
\(465\) | −7.87441 | + | 3.08337i | −0.365167 | + | 0.142988i | ||||
\(466\) | 13.2503 | + | 7.24296i | 0.613807 | + | 0.335523i | ||||
\(467\) | 6.75207 | − | 8.04680i | 0.312448 | − | 0.372362i | −0.586851 | − | 0.809695i | \(-0.699633\pi\) |
0.899299 | + | 0.437333i | \(0.144077\pi\) | |||||||
\(468\) | 9.20159 | + | 9.06037i | 0.425344 | + | 0.418816i | ||||
\(469\) | −8.08673 | − | 9.63739i | −0.373410 | − | 0.445013i | ||||
\(470\) | −0.867568 | − | 4.32690i | −0.0400179 | − | 0.199585i | ||||
\(471\) | −6.79812 | + | 0.961510i | −0.313241 | + | 0.0443041i | ||||
\(472\) | 3.91384 | + | 5.12897i | 0.180149 | + | 0.236080i | ||||
\(473\) | 6.48076 | − | 2.79553i | 0.297986 | − | 0.128538i | ||||
\(474\) | −37.7676 | + | 1.79530i | −1.73472 | + | 0.0824607i | ||||
\(475\) | −16.5519 | + | 8.31266i | −0.759452 | + | 0.381411i | ||||
\(476\) | 0.158076 | − | 0.419270i | 0.00724538 | − | 0.0192172i | ||||
\(477\) | −0.890407 | + | 2.37318i | −0.0407689 | + | 0.108660i | ||||
\(478\) | −23.9185 | − | 11.3209i | −1.09400 | − | 0.517808i | ||||
\(479\) | −9.93770 | + | 10.5333i | −0.454065 | + | 0.481281i | −0.913447 | − | 0.406958i | \(-0.866589\pi\) |
0.459382 | + | 0.888239i | \(0.348071\pi\) | |||||||
\(480\) | 3.88672 | + | 2.74794i | 0.177404 | + | 0.125426i | ||||
\(481\) | −11.5738 | + | 7.61220i | −0.527719 | + | 0.347086i | ||||
\(482\) | −21.9924 | + | 11.6958i | −1.00173 | + | 0.532728i | ||||
\(483\) | 1.24057 | + | 0.585962i | 0.0564478 | + | 0.0266622i | ||||
\(484\) | 4.26948 | − | 3.10298i | 0.194067 | − | 0.141044i | ||||
\(485\) | −7.59173 | −0.344723 | ||||||||
\(486\) | −15.6094 | + | 15.5675i | −0.708055 | + | 0.706157i | ||||
\(487\) | 1.58837i | 0.0719761i | 0.999352 | + | 0.0359880i | \(0.0114578\pi\) | ||||
−0.999352 | + | 0.0359880i | \(0.988542\pi\) | |||||||
\(488\) | 1.82791 | − | 11.1381i | 0.0827456 | − | 0.504198i | ||||
\(489\) | −12.4189 | + | 26.2926i | −0.561600 | + | 1.18899i | ||||
\(490\) | −3.71866 | + | 1.97762i | −0.167992 | + | 0.0893398i | ||||
\(491\) | −20.5423 | − | 31.2330i | −0.927060 | − | 1.40953i | −0.912249 | − | 0.409636i | \(-0.865656\pi\) |
−0.0148111 | − | 0.999890i | \(-0.504715\pi\) | |||||||
\(492\) | 28.8102 | − | 5.45728i | 1.29886 | − | 0.246033i | ||||
\(493\) | −1.34594 | − | 1.26983i | −0.0606183 | − | 0.0571904i | ||||
\(494\) | 5.06269 | − | 10.6963i | 0.227781 | − | 0.481247i | ||||
\(495\) | −0.882267 | − | 5.30972i | −0.0396549 | − | 0.238654i | ||||
\(496\) | −14.6126 | + | 37.4495i | −0.656126 | + | 1.68153i | ||||
\(497\) | 1.79879 | + | 3.58169i | 0.0806868 | + | 0.160661i | ||||
\(498\) | 10.3391 | − | 0.491472i | 0.463306 | − | 0.0220234i | ||||
\(499\) | 2.91910 | + | 6.76723i | 0.130677 | + | 0.302943i | 0.970975 | − | 0.239182i | \(-0.0768792\pi\) |
−0.840298 | + | 0.542125i | \(0.817620\pi\) | |||||||
\(500\) | 1.20947 | − | 9.40962i | 0.0540892 | − | 0.420811i | ||||
\(501\) | 5.03052 | + | 35.5670i | 0.224747 | + | 1.58902i | ||||
\(502\) | −13.0630 | + | 2.61922i | −0.583032 | + | 0.116901i | ||||
\(503\) | −17.6442 | + | 14.8053i | −0.786717 | + | 0.660134i | −0.944931 | − | 0.327271i | \(-0.893871\pi\) |
0.158213 | + | 0.987405i | \(0.449427\pi\) | |||||||
\(504\) | −6.86089 | − | 3.94293i | −0.305608 | − | 0.175632i | ||||
\(505\) | −1.07771 | − | 0.904304i | −0.0479574 | − | 0.0402410i | ||||
\(506\) | 3.89260 | + | 2.12780i | 0.173047 | + | 0.0945923i | ||||
\(507\) | −5.28448 | − | 13.4957i | −0.234692 | − | 0.599365i | ||||
\(508\) | 37.0212 | + | 19.1280i | 1.64255 | + | 0.848670i | ||||
\(509\) | 17.3059 | + | 18.3432i | 0.767072 | + | 0.813049i | 0.986703 | − | 0.162534i | \(-0.0519668\pi\) |
−0.219631 | + | 0.975583i | \(0.570485\pi\) | |||||||
\(510\) | −0.181413 | − | 0.220949i | −0.00803311 | − | 0.00978378i | ||||
\(511\) | 1.32942 | + | 0.573457i | 0.0588102 | + | 0.0253682i | ||||
\(512\) | 22.1296 | − | 4.72004i | 0.978001 | − | 0.208598i | ||||
\(513\) | 18.1810 | + | 8.80815i | 0.802710 | + | 0.388889i | ||||
\(514\) | −12.0318 | − | 3.29805i | −0.530701 | − | 0.145471i | ||||
\(515\) | 0.416967 | + | 3.56738i | 0.0183738 | + | 0.157198i | ||||
\(516\) | −4.60380 | − | 4.75751i | −0.202671 | − | 0.209438i | ||||
\(517\) | 5.47050 | + | 23.0819i | 0.240592 | + | 1.01514i | ||||
\(518\) | 5.67956 | − | 6.30878i | 0.249545 | − | 0.277192i | ||||
\(519\) | 0.722805 | + | 29.9233i | 0.0317276 | + | 1.31349i | ||||
\(520\) | 1.50900 | + | 2.54347i | 0.0661742 | + | 0.111538i | ||||
\(521\) | −42.3795 | − | 7.47265i | −1.85668 | − | 0.327383i | −0.870385 | − | 0.492372i | \(-0.836130\pi\) |
−0.986295 | + | 0.164989i | \(0.947241\pi\) | |||||||
\(522\) | −25.9471 | + | 19.8658i | −1.13568 | + | 0.869502i | ||||
\(523\) | −3.37084 | − | 19.1170i | −0.147397 | − | 0.835929i | −0.965411 | − | 0.260731i | \(-0.916036\pi\) |
0.818015 | − | 0.575197i | \(-0.195075\pi\) | |||||||
\(524\) | 1.59304 | − | 22.8326i | 0.0695921 | − | 0.997449i | ||||
\(525\) | −0.261792 | + | 7.69067i | −0.0114256 | + | 0.335649i | ||||
\(526\) | −12.9527 | + | 1.82141i | −0.564763 | + | 0.0794172i | ||||
\(527\) | 1.44175 | − | 1.93661i | 0.0628036 | − | 0.0843598i | ||||
\(528\) | −21.3940 | − | 14.0346i | −0.931054 | − | 0.610776i | ||||
\(529\) | 1.29538 | − | 22.2409i | 0.0563210 | − | 0.966994i | ||||
\(530\) | −0.335681 | + | 0.473593i | −0.0145810 | + | 0.0205716i | ||||
\(531\) | −6.67387 | + | 1.51228i | −0.289621 | + | 0.0656273i | ||||
\(532\) | −1.34112 | + | 7.12650i | −0.0581450 | + | 0.308973i | ||||
\(533\) | 17.7271 | + | 4.20140i | 0.767845 | + | 0.181983i | ||||
\(534\) | 5.46346 | − | 22.0024i | 0.236427 | − | 0.952139i | ||||
\(535\) | −0.847089 | + | 0.0493373i | −0.0366228 | + | 0.00213304i | ||||
\(536\) | −20.5873 | + | 32.1257i | −0.889237 | + | 1.38762i | ||||
\(537\) | 17.0052 | − | 4.46665i | 0.733830 | − | 0.192750i | ||||
\(538\) | 16.5788 | + | 13.2642i | 0.714764 | + | 0.571860i | ||||
\(539\) | 19.6066 | − | 11.3199i | 0.844518 | − | 0.487583i | ||||
\(540\) | −4.36529 | + | 2.53659i | −0.187852 | + | 0.109157i | ||||
\(541\) | 24.6046 | + | 14.2055i | 1.05783 | + | 0.610741i | 0.924832 | − | 0.380375i | \(-0.124205\pi\) |
0.133002 | + | 0.991116i | \(0.457538\pi\) | |||||||
\(542\) | 2.33809 | + | 5.98522i | 0.100430 | + | 0.257087i | ||||
\(543\) | −0.378141 | − | 0.821492i | −0.0162276 | − | 0.0352536i | ||||
\(544\) | −1.35672 | − | 0.0784890i | −0.0581687 | − | 0.00336519i | ||||
\(545\) | 0.505735 | − | 1.00700i | 0.0216633 | − | 0.0431352i | ||||
\(546\) | −2.89365 | − | 3.97475i | −0.123837 | − | 0.170104i | ||||
\(547\) | 10.9569 | + | 36.5986i | 0.468483 | + | 1.56484i | 0.787017 | + | 0.616931i | \(0.211624\pi\) |
−0.318534 | + | 0.947911i | \(0.603191\pi\) | |||||||
\(548\) | −2.72314 | − | 2.33878i | −0.116327 | − | 0.0999075i | ||||
\(549\) | 9.93680 | + | 6.67705i | 0.424092 | + | 0.284970i | ||||
\(550\) | −2.31080 | + | 24.7739i | −0.0985327 | + | 1.05636i | ||||
\(551\) | 25.0200 | + | 16.4559i | 1.06589 | + | 0.701047i | ||||
\(552\) | 0.574529 | − | 4.12127i | 0.0244536 | − | 0.175413i | ||||
\(553\) | 14.2979 | + | 1.67119i | 0.608010 | + | 0.0710661i | ||||
\(554\) | −32.5157 | − | 13.1343i | −1.38146 | − | 0.558021i | ||||
\(555\) | −1.67815 | − | 5.14940i | −0.0712335 | − | 0.218580i | ||||
\(556\) | 13.6229 | + | 27.9201i | 0.577740 | + | 1.18407i | ||||
\(557\) | −36.1233 | − | 13.1478i | −1.53059 | − | 0.557090i | −0.566825 | − | 0.823838i | \(-0.691829\pi\) |
−0.963766 | + | 0.266748i | \(0.914051\pi\) | |||||||
\(558\) | −29.6751 | − | 30.6167i | −1.25625 | − | 1.29611i | ||||
\(559\) | −1.40681 | − | 3.86518i | −0.0595018 | − | 0.163480i | ||||
\(560\) | −1.28929 | − | 1.27358i | −0.0544823 | − | 0.0538184i | ||||
\(561\) | 1.01592 | + | 1.15299i | 0.0428920 | + | 0.0486793i | ||||
\(562\) | 3.27474 | − | 15.4123i | 0.138137 | − | 0.650130i | ||||
\(563\) | −22.0327 | − | 6.59614i | −0.928566 | − | 0.277994i | −0.213413 | − | 0.976962i | \(-0.568458\pi\) |
−0.715153 | + | 0.698968i | \(0.753643\pi\) | |||||||
\(564\) | 18.4335 | − | 12.4614i | 0.776191 | − | 0.524718i | ||||
\(565\) | 0.888720 | − | 0.661627i | 0.0373887 | − | 0.0278349i | ||||
\(566\) | 4.23426 | + | 4.28315i | 0.177979 | + | 0.180034i | ||||
\(567\) | 6.83007 | − | 4.87812i | 0.286836 | − | 0.204862i | ||||
\(568\) | 8.74228 | − | 8.44627i | 0.366818 | − | 0.354398i | ||||
\(569\) | 32.5316 | − | 24.2189i | 1.36380 | − | 1.01531i | 0.367437 | − | 0.930048i | \(-0.380235\pi\) |
0.996359 | − | 0.0852604i | \(-0.0271722\pi\) | |||||||
\(570\) | 3.51226 | + | 3.01163i | 0.147113 | + | 0.126143i | ||||
\(571\) | 1.52970 | − | 5.10956i | 0.0640161 | − | 0.213829i | −0.919997 | − | 0.391926i | \(-0.871809\pi\) |
0.984013 | + | 0.178097i | \(0.0569942\pi\) | |||||||
\(572\) | −8.58250 | − | 13.3812i | −0.358853 | − | 0.559494i | ||||
\(573\) | −2.18120 | + | 6.47521i | −0.0911207 | + | 0.270506i | ||||
\(574\) | −11.1607 | + | 0.260639i | −0.465839 | + | 0.0108789i | ||||
\(575\) | −3.80243 | + | 1.38397i | −0.158572 | + | 0.0577156i | ||||
\(576\) | −5.21053 | + | 23.4276i | −0.217105 | + | 0.976148i | ||||
\(577\) | −14.9827 | − | 5.45327i | −0.623739 | − | 0.227023i | 0.0107647 | − | 0.999942i | \(-0.496573\pi\) |
−0.634504 | + | 0.772919i | \(0.718796\pi\) | |||||||
\(578\) | −22.7002 | − | 7.66692i | −0.944205 | − | 0.318902i | ||||
\(579\) | 0.546050 | − | 2.58012i | 0.0226931 | − | 0.107226i | ||||
\(580\) | −6.90549 | + | 2.88518i | −0.286735 | + | 0.119800i | ||||
\(581\) | −3.91413 | − | 0.457497i | −0.162386 | − | 0.0189802i | ||||
\(582\) | −14.7848 | − | 35.3069i | −0.612849 | − | 1.46352i | ||||
\(583\) | 1.71465 | − | 2.60699i | 0.0710134 | − | 0.107971i | ||||
\(584\) | 0.457978 | − | 4.36720i | 0.0189513 | − | 0.180716i | ||||
\(585\) | −3.11905 | + | 0.333373i | −0.128957 | + | 0.0137833i | ||||
\(586\) | −2.75586 | − | 33.7282i | −0.113843 | − | 1.39330i | ||||
\(587\) | 15.5646 | − | 4.65973i | 0.642420 | − | 0.192328i | 0.0510088 | − | 0.998698i | \(-0.483756\pi\) |
0.591411 | + | 0.806370i | \(0.298571\pi\) | |||||||
\(588\) | −16.4394 | − | 13.4430i | −0.677947 | − | 0.554380i | ||||
\(589\) | −17.5360 | + | 34.9170i | −0.722558 | + | 1.43873i | ||||
\(590\) | −1.56622 | − | 0.0545715i | −0.0644804 | − | 0.00224667i | ||||
\(591\) | 4.02780 | + | 2.85004i | 0.165682 | + | 0.117235i | ||||
\(592\) | −23.3996 | − | 10.7373i | −0.961717 | − | 0.441299i | ||||
\(593\) | 14.6921 | + | 8.48250i | 0.603333 | + | 0.348334i | 0.770352 | − | 0.637619i | \(-0.220081\pi\) |
−0.167019 | + | 0.985954i | \(0.553414\pi\) | |||||||
\(594\) | 22.9757 | − | 14.4437i | 0.942705 | − | 0.592634i | ||||
\(595\) | 0.0544212 | + | 0.0942603i | 0.00223105 | + | 0.00386430i | ||||
\(596\) | −1.79185 | − | 17.0228i | −0.0733972 | − | 0.697282i | ||||
\(597\) | 5.74743 | − | 21.0337i | 0.235227 | − | 0.860850i | ||||
\(598\) | 1.36984 | − | 2.19258i | 0.0560170 | − | 0.0896614i | ||||
\(599\) | 0.230851 | + | 3.96356i | 0.00943232 | + | 0.161947i | 0.999735 | + | 0.0230201i | \(0.00732818\pi\) |
−0.990303 | + | 0.138927i | \(0.955635\pi\) | |||||||
\(600\) | 22.5010 | − | 6.19659i | 0.918599 | − | 0.252975i | ||||
\(601\) | 26.1918 | + | 6.20758i | 1.06839 | + | 0.253212i | 0.726949 | − | 0.686692i | \(-0.240938\pi\) |
0.341438 | + | 0.939904i | \(0.389086\pi\) | |||||||
\(602\) | 1.43384 | + | 2.07295i | 0.0584388 | + | 0.0844872i | ||||
\(603\) | −21.9040 | − | 34.0308i | −0.892000 | − | 1.38584i | ||||
\(604\) | −5.96375 | − | 36.2507i | −0.242662 | − | 1.47502i | ||||
\(605\) | −0.0745454 | + | 1.27990i | −0.00303070 | + | 0.0520352i | ||||
\(606\) | 2.10683 | − | 6.77321i | 0.0855841 | − | 0.275143i | ||||
\(607\) | 0.340477 | + | 0.253476i | 0.0138195 | + | 0.0102883i | 0.604046 | − | 0.796949i | \(-0.293554\pi\) |
−0.590227 | + | 0.807238i | \(0.700962\pi\) | |||||||
\(608\) | 21.8437 | − | 2.56180i | 0.885880 | − | 0.103895i | ||||
\(609\) | 10.9801 | − | 5.85063i | 0.444937 | − | 0.237079i | ||||
\(610\) | 1.81091 | + | 2.05857i | 0.0733214 | + | 0.0833491i | ||||
\(611\) | 13.6142 | − | 2.40055i | 0.550772 | − | 0.0971160i | ||||
\(612\) | 0.674268 | − | 1.27399i | 0.0272557 | − | 0.0514981i | ||||
\(613\) | 3.71605 | + | 0.655240i | 0.150090 | + | 0.0264649i | 0.248188 | − | 0.968712i | \(-0.420165\pi\) |
−0.0980984 | + | 0.995177i | \(0.531276\pi\) | |||||||
\(614\) | 0.504448 | + | 0.828439i | 0.0203579 | + | 0.0334331i | ||||
\(615\) | −3.41135 | + | 6.25263i | −0.137559 | + | 0.252131i | ||||
\(616\) | 7.16448 | + | 6.60038i | 0.288665 | + | 0.265937i | ||||
\(617\) | −4.16491 | − | 17.5732i | −0.167673 | − | 0.707469i | −0.990307 | − | 0.138897i | \(-0.955644\pi\) |
0.822634 | − | 0.568572i | \(-0.192504\pi\) | |||||||
\(618\) | −15.7788 | + | 8.88660i | −0.634716 | + | 0.357472i | ||||
\(619\) | 10.5875 | − | 1.23751i | 0.425549 | − | 0.0497396i | 0.0993769 | − | 0.995050i | \(-0.468315\pi\) |
0.326172 | + | 0.945310i | \(0.394241\pi\) | |||||||
\(620\) | −4.78501 | − | 8.51206i | −0.192170 | − | 0.341852i | ||||
\(621\) | 3.72170 | + | 2.37240i | 0.149347 | + | 0.0952012i | ||||
\(622\) | −20.1808 | + | 5.28346i | −0.809175 | + | 0.211847i | ||||
\(623\) | −3.41866 | + | 7.92534i | −0.136966 | + | 0.317522i | ||||
\(624\) | −8.89014 | + | 11.9713i | −0.355890 | + | 0.479235i | ||||
\(625\) | −14.7648 | − | 15.6498i | −0.590591 | − | 0.625990i | ||||
\(626\) | 2.75045 | + | 8.46277i | 0.109930 | + | 0.338240i | ||||
\(627\) | −19.4317 | − | 15.5212i | −0.776029 | − | 0.619857i | ||||
\(628\) | −2.18642 | − | 7.62046i | −0.0872476 | − | 0.304089i | ||||
\(629\) | 1.18450 | + | 0.993913i | 0.0472291 | + | 0.0396299i | ||||
\(630\) | 1.79724 | − | 0.681700i | 0.0716038 | − | 0.0271596i | ||||
\(631\) | −18.3098 | − | 21.8208i | −0.728901 | − | 0.868670i | 0.266562 | − | 0.963818i | \(-0.414112\pi\) |
−0.995463 | + | 0.0951474i | \(0.969668\pi\) | |||||||
\(632\) | −8.09120 | − | 42.9032i | −0.321851 | − | 1.70660i | ||||
\(633\) | −15.7356 | − | 6.34150i | −0.625434 | − | 0.252052i | ||||
\(634\) | −15.4576 | − | 19.7817i | −0.613900 | − | 0.785630i | ||||
\(635\) | −9.29437 | + | 4.00920i | −0.368836 | + | 0.159100i | ||||
\(636\) | −2.85627 | − | 0.638837i | −0.113259 | − | 0.0253315i | ||||
\(637\) | −5.92145 | − | 11.7906i | −0.234616 | − | 0.467159i | ||||
\(638\) | 36.5566 | − | 16.7918i | 1.44729 | − | 0.664795i | ||||
\(639\) | 4.28990 | + | 12.1587i | 0.169706 | + | 0.480992i | ||||
\(640\) | −2.52110 | + | 4.88410i | −0.0996551 | + | 0.193061i | ||||
\(641\) | −10.4617 | − | 9.87015i | −0.413214 | − | 0.389848i | 0.451369 | − | 0.892337i | \(-0.350936\pi\) |
−0.864583 | + | 0.502490i | \(0.832417\pi\) | |||||||
\(642\) | −1.87914 | − | 3.84347i | −0.0741639 | − | 0.151690i | ||||
\(643\) | −7.96715 | + | 5.24008i | −0.314194 | + | 0.206648i | −0.696804 | − | 0.717261i | \(-0.745395\pi\) |
0.382611 | + | 0.923910i | \(0.375025\pi\) | |||||||
\(644\) | −0.471757 | + | 1.51237i | −0.0185898 | + | 0.0595957i | ||||
\(645\) | 1.60269 | − | 0.132246i | 0.0631060 | − | 0.00520717i | ||||
\(646\) | −1.30584 | − | 0.198940i | −0.0513777 | − | 0.00782720i | ||||
\(647\) | 24.1747 | 0.950406 | 0.475203 | − | 0.879876i | \(-0.342375\pi\) | ||||
0.475203 | + | 0.879876i | \(0.342375\pi\) | |||||||
\(648\) | −20.2982 | − | 15.3617i | −0.797391 | − | 0.603464i | ||||
\(649\) | 8.42404 | 0.330672 | ||||||||
\(650\) | 14.3350 | + | 2.18388i | 0.562264 | + | 0.0856589i | ||||
\(651\) | 9.24524 | + | 13.3433i | 0.362350 | + | 0.522967i | ||||
\(652\) | −32.0531 | − | 9.99840i | −1.25530 | − | 0.391568i | ||||
\(653\) | −33.6444 | + | 22.1282i | −1.31661 | + | 0.865945i | −0.996674 | − | 0.0814957i | \(-0.974030\pi\) |
−0.319932 | + | 0.947441i | \(0.603660\pi\) | |||||||
\(654\) | 5.66817 | + | 0.390904i | 0.221643 | + | 0.0152856i | ||||
\(655\) | 4.04400 | + | 3.81532i | 0.158012 | + | 0.149077i | ||||
\(656\) | 10.8469 | + | 32.0742i | 0.423500 | + | 1.25229i | ||||
\(657\) | 4.01033 | + | 2.36848i | 0.156458 | + | 0.0924032i | ||||
\(658\) | −7.69798 | + | 3.53598i | −0.300099 | + | 0.137847i | ||||
\(659\) | 3.90072 | + | 7.76696i | 0.151950 | + | 0.302558i | 0.956710 | − | 0.291043i | \(-0.0940022\pi\) |
−0.804760 | + | 0.593601i | \(0.797706\pi\) | |||||||
\(660\) | 5.93103 | − | 1.85784i | 0.230865 | − | 0.0723162i | ||||
\(661\) | −2.44818 | + | 1.05604i | −0.0952232 | + | 0.0410753i | −0.443159 | − | 0.896443i | \(-0.646142\pi\) |
0.347935 | + | 0.937519i | \(0.386883\pi\) | |||||||
\(662\) | −12.6068 | − | 16.1333i | −0.489976 | − | 0.627040i | ||||
\(663\) | 0.705225 | − | 0.551982i | 0.0273887 | − | 0.0214372i | ||||
\(664\) | 2.21501 | + | 11.7450i | 0.0859590 | + | 0.455794i | ||||
\(665\) | −1.13225 | − | 1.34937i | −0.0439070 | − | 0.0523263i | ||||
\(666\) | 20.6802 | − | 17.8330i | 0.801340 | − | 0.691013i | ||||
\(667\) | 5.01175 | + | 4.20536i | 0.194056 | + | 0.162832i | ||||
\(668\) | −39.8694 | + | 11.4391i | −1.54259 | + | 0.442592i | ||||
\(669\) | −5.84093 | + | 38.5473i | −0.225824 | + | 1.49033i | ||||
\(670\) | −2.86480 | − | 8.81462i | −0.110677 | − | 0.340539i | ||||
\(671\) | −10.1136 | − | 10.7198i | −0.390430 | − | 0.413832i | ||||
\(672\) | 3.41216 | − | 8.47635i | 0.131627 | − | 0.326982i | ||||
\(673\) | 14.8793 | − | 34.4942i | 0.573557 | − | 1.32965i | −0.346567 | − | 0.938025i | \(-0.612653\pi\) |
0.920124 | − | 0.391628i | \(-0.128088\pi\) | |||||||
\(674\) | 36.2642 | − | 9.49420i | 1.39684 | − | 0.365703i | ||||
\(675\) | −3.95015 | + | 24.4372i | −0.152041 | + | 0.940587i | ||||
\(676\) | 14.5885 | − | 8.20086i | 0.561098 | − | 0.315418i | ||||
\(677\) | −17.2652 | + | 2.01801i | −0.663556 | + | 0.0775585i | −0.441202 | − | 0.897408i | \(-0.645448\pi\) |
−0.222353 | + | 0.974966i | \(0.571374\pi\) | |||||||
\(678\) | 4.80780 | + | 2.84466i | 0.184642 | + | 0.109249i | ||||
\(679\) | 3.36080 | + | 14.1803i | 0.128976 | + | 0.544190i | ||||
\(680\) | 0.223669 | − | 0.242785i | 0.00857731 | − | 0.00931037i | ||||
\(681\) | −12.3820 | − | 20.2979i | −0.474479 | − | 0.777818i | ||||
\(682\) | 27.2985 | + | 44.8315i | 1.04531 | + | 1.71669i | ||||
\(683\) | −46.5839 | − | 8.21401i | −1.78249 | − | 0.314300i | −0.817367 | − | 0.576117i | \(-0.804567\pi\) |
−0.965118 | + | 0.261817i | \(0.915678\pi\) | |||||||
\(684\) | −7.16612 | + | 22.1996i | −0.274003 | + | 0.848823i | ||||
\(685\) | 0.858703 | − | 0.151412i | 0.0328093 | − | 0.00578517i | ||||
\(686\) | 11.4379 | + | 13.0022i | 0.436701 | + | 0.496425i | ||||
\(687\) | −4.74311 | − | 2.95803i | −0.180961 | − | 0.112856i | ||||
\(688\) | 4.70455 | − | 6.02543i | 0.179359 | − | 0.229717i | ||||
\(689\) | −1.45863 | − | 1.08591i | −0.0555692 | − | 0.0413698i | ||||
\(690\) | 0.685746 | + | 0.742575i | 0.0261059 | + | 0.0282694i | ||||
\(691\) | 1.39165 | − | 23.8938i | 0.0529410 | − | 0.908962i | −0.862386 | − | 0.506251i | \(-0.831031\pi\) |
0.915327 | − | 0.402711i | \(-0.131932\pi\) | |||||||
\(692\) | −34.1041 | + | 5.61060i | −1.29644 | + | 0.213283i | ||||
\(693\) | −9.52725 | + | 3.99852i | −0.361910 | + | 0.151891i | ||||
\(694\) | 5.61453 | + | 8.11714i | 0.213125 | + | 0.308123i | ||||
\(695\) | −7.34286 | − | 1.74029i | −0.278531 | − | 0.0660130i | ||||
\(696\) | −26.8664 | − | 26.4966i | −1.01837 | − | 1.00435i | ||||
\(697\) | −0.118239 | − | 2.03009i | −0.00447863 | − | 0.0768950i | ||||
\(698\) | 11.5462 | − | 18.4810i | 0.437030 | − | 0.699516i | ||||
\(699\) | −13.0128 | − | 13.1420i | −0.492190 | − | 0.497075i | ||||
\(700\) | −8.83675 | + | 0.930173i | −0.333998 | + | 0.0351572i | ||||
\(701\) | 3.02596 | + | 5.24112i | 0.114289 | + | 0.197954i | 0.917495 | − | 0.397747i | \(-0.130208\pi\) |
−0.803206 | + | 0.595701i | \(0.796874\pi\) | |||||||
\(702\) | −7.62471 | − | 13.8565i | −0.287776 | − | 0.522981i | ||||
\(703\) | −21.6715 | − | 12.5121i | −0.817357 | − | 0.471902i | ||||
\(704\) | 12.6292 | − | 26.7095i | 0.475982 | − | 1.00665i | ||||
\(705\) | −0.497644 | + | 5.38186i | −0.0187424 | + | 0.202693i | ||||
\(706\) | −51.8525 | − | 1.80668i | −1.95149 | − | 0.0679953i | ||||
\(707\) | −1.21202 | + | 2.41334i | −0.0455828 | + | 0.0907629i | ||||
\(708\) | −2.79640 | − | 7.39032i | −0.105095 | − | 0.277745i | ||||
\(709\) | 43.3968 | − | 12.9921i | 1.62980 | − | 0.487930i | 0.664112 | − | 0.747633i | \(-0.268810\pi\) |
0.965689 | + | 0.259703i | \(0.0836246\pi\) | |||||||
\(710\) | 0.240464 | + | 2.94298i | 0.00902446 | + | 0.110448i | ||||
\(711\) | 44.9520 | + | 11.1239i | 1.68583 | + | 0.417177i | ||||
\(712\) | 26.0350 | + | 2.73023i | 0.975703 | + | 0.102320i | ||||
\(713\) | −4.69073 | + | 7.13191i | −0.175669 | + | 0.267092i | ||||
\(714\) | −0.332392 | + | 0.436667i | −0.0124395 | + | 0.0163419i | ||||
\(715\) | 3.83541 | + | 0.448295i | 0.143436 | + | 0.0167653i | ||||
\(716\) | 7.82669 | + | 18.7327i | 0.292497 | + | 0.700074i | ||||
\(717\) | 24.1041 | + | 21.6651i | 0.900185 | + | 0.809098i | ||||
\(718\) | 16.1069 | + | 5.44005i | 0.601105 | + | 0.203021i | ||||
\(719\) | −37.2340 | − | 13.5521i | −1.38859 | − | 0.505407i | −0.463822 | − | 0.885929i | \(-0.653522\pi\) |
−0.924772 | + | 0.380522i | \(0.875744\pi\) | |||||||
\(720\) | −3.59870 | − | 4.58651i | −0.134115 | − | 0.170929i | ||||
\(721\) | 6.47879 | − | 2.35809i | 0.241283 | − | 0.0878197i | ||||
\(722\) | −5.49134 | + | 0.128241i | −0.204367 | + | 0.00477263i | ||||
\(723\) | 29.9070 | − | 6.02147i | 1.11225 | − | 0.223941i | ||||
\(724\) | 0.878986 | − | 0.563771i | 0.0326673 | − | 0.0209524i | ||||
\(725\) | −10.5241 | + | 35.1529i | −0.390854 | + | 1.30554i | ||||
\(726\) | −6.09759 | + | 2.14589i | −0.226303 | + | 0.0796413i | ||||
\(727\) | 2.21428 | − | 1.64847i | 0.0821231 | − | 0.0611384i | −0.555314 | − | 0.831641i | \(-0.687402\pi\) |
0.637437 | + | 0.770502i | \(0.279995\pi\) | |||||||
\(728\) | 4.08282 | − | 3.94458i | 0.151319 | − | 0.146196i | ||||
\(729\) | 23.7724 | − | 12.8014i | 0.880458 | − | 0.474124i | ||||
\(730\) | 0.749893 | + | 0.758551i | 0.0277548 | + | 0.0280752i | ||||
\(731\) | −0.368274 | + | 0.274170i | −0.0136211 | + | 0.0101405i | ||||
\(732\) | −6.04709 | + | 12.4310i | −0.223507 | + | 0.459464i | ||||
\(733\) | 4.90567 | + | 1.46866i | 0.181195 | + | 0.0542463i | 0.376115 | − | 0.926573i | \(-0.377260\pi\) |
−0.194920 | + | 0.980819i | \(0.562445\pi\) | |||||||
\(734\) | −9.85050 | + | 46.3607i | −0.363589 | + | 1.71121i | ||||
\(735\) | 5.05693 | − | 1.01816i | 0.186528 | − | 0.0375554i | ||||
\(736\) | 4.80486 | − | 0.00187341i | 0.177109 | − | 6.90549e-5i | ||||
\(737\) | 17.0397 | + | 46.8163i | 0.627667 | + | 1.72450i | ||||
\(738\) | −35.7227 | − | 3.68827i | −1.31497 | − | 0.135767i | ||||
\(739\) | −30.6968 | − | 11.1727i | −1.12920 | − | 0.410996i | −0.291199 | − | 0.956662i | \(-0.594054\pi\) |
−0.838002 | + | 0.545667i | \(0.816277\pi\) | |||||||
\(740\) | 5.62045 | − | 2.74236i | 0.206612 | − | 0.100811i | ||||
\(741\) | −9.68856 | + | 10.7793i | −0.355918 | + | 0.395987i | ||||
\(742\) | 1.03321 | + | 0.417350i | 0.0379303 | + | 0.0153214i | ||||
\(743\) | −24.1540 | − | 2.82320i | −0.886126 | − | 0.103573i | −0.339160 | − | 0.940729i | \(-0.610143\pi\) |
−0.546965 | + | 0.837155i | \(0.684217\pi\) | |||||||
\(744\) | 30.2683 | − | 38.8307i | 1.10969 | − | 1.42360i | ||||
\(745\) | 3.47382 | + | 2.28477i | 0.127271 | + | 0.0837075i | ||||
\(746\) | 3.13158 | − | 33.5735i | 0.114655 | − | 1.22921i | ||||
\(747\) | −12.3059 | − | 3.04522i | −0.450248 | − | 0.111419i | ||||
\(748\) | −1.15612 | + | 1.34612i | −0.0422718 | + | 0.0492188i | ||||
\(749\) | 0.467154 | + | 1.56040i | 0.0170694 | + | 0.0570159i | ||||
\(750\) | −4.71578 | + | 10.6192i | −0.172196 | + | 0.387758i | ||||
\(751\) | −8.68790 | + | 17.2990i | −0.317026 | + | 0.631251i | −0.994551 | − | 0.104249i | \(-0.966756\pi\) |
0.677525 | + | 0.735499i | \(0.263052\pi\) | |||||||
\(752\) | 17.1976 | + | 19.0879i | 0.627133 | + | 0.696065i | ||||
\(753\) | 16.2480 | + | 1.50240i | 0.592111 | + | 0.0547507i | ||||
\(754\) | −8.53062 | − | 21.8373i | −0.310667 | − | 0.795268i | ||||
\(755\) | 7.72840 | + | 4.46199i | 0.281265 | + | 0.162389i | ||||
\(756\) | 6.67048 | + | 7.03083i | 0.242603 | + | 0.255709i | ||||
\(757\) | 0.414901 | − | 0.239543i | 0.0150798 | − | 0.00870635i | −0.492441 | − | 0.870346i | \(-0.663895\pi\) |
0.507521 | + | 0.861639i | \(0.330562\pi\) | |||||||
\(758\) | 17.7147 | + | 14.1730i | 0.643428 | + | 0.514786i | ||||
\(759\) | −3.82285 | − | 3.86079i | −0.138761 | − | 0.140138i | ||||
\(760\) | −2.88251 | + | 4.49804i | −0.104560 | + | 0.163161i | ||||
\(761\) | 5.57790 | − | 0.324876i | 0.202199 | − | 0.0117767i | 0.0432535 | − | 0.999064i | \(-0.486228\pi\) |
0.158945 | + | 0.987287i | \(0.449191\pi\) | |||||||
\(762\) | −36.7462 | − | 35.4175i | −1.33117 | − | 1.28304i | ||||
\(763\) | −2.10483 | − | 0.498853i | −0.0761998 | − | 0.0180597i | ||||
\(764\) | −7.75363 | − | 1.45914i | −0.280516 | − | 0.0527898i | ||||
\(765\) | 0.135499 | + | 0.322853i | 0.00489898 | + | 0.0116728i | ||||
\(766\) | −30.1147 | + | 42.4871i | −1.08809 | + | 1.53512i | ||||
\(767\) | 0.285453 | − | 4.90104i | 0.0103071 | − | 0.176966i | ||||
\(768\) | −27.6243 | − | 2.21315i | −0.996806 | − | 0.0798602i | ||||
\(769\) | −13.0141 | + | 17.4809i | −0.469300 | + | 0.630379i | −0.972252 | − | 0.233935i | \(-0.924840\pi\) |
0.502953 | + | 0.864314i | \(0.332247\pi\) | |||||||
\(770\) | −2.34322 | + | 0.329504i | −0.0844437 | + | 0.0118745i | ||||
\(771\) | 12.9649 | + | 8.08550i | 0.466918 | + | 0.291192i | ||||
\(772\) | 3.03787 | + | 0.211953i | 0.109335 | + | 0.00762834i | ||||
\(773\) | 2.34743 | + | 13.3129i | 0.0844312 | + | 0.478833i | 0.997478 | + | 0.0709781i | \(0.0226121\pi\) |
−0.913047 | + | 0.407855i | \(0.866277\pi\) | |||||||
\(774\) | 3.73625 | + | 7.19610i | 0.134297 | + | 0.258658i | ||||
\(775\) | −47.1500 | − | 8.31382i | −1.69368 | − | 0.298641i | ||||
\(776\) | 38.0125 | − | 22.5523i | 1.36457 | − | 0.809580i | ||||
\(777\) | −8.87547 | + | 5.41415i | −0.318406 | + | 0.194232i | ||||
\(778\) | 34.6348 | − | 38.4719i | 1.24172 | − | 1.37928i | ||||
\(779\) | 7.58958 | + | 32.0229i | 0.271925 | + | 1.14734i | ||||
\(780\) | −0.879899 | − | 3.51358i | −0.0315054 | − | 0.125806i | ||||
\(781\) | −1.84264 | − | 15.7648i | −0.0659348 | − | 0.564108i | ||||
\(782\) | −0.278310 | − | 0.0762876i | −0.00995233 | − | 0.00272804i | ||||
\(783\) | 37.4103 | − | 14.2242i | 1.33693 | − | 0.508330i | ||||
\(784\) | 12.7449 | − | 20.9489i | 0.455174 | − | 0.748175i | ||||
\(785\) | 1.76826 | + | 0.762755i | 0.0631121 | + | 0.0272239i | ||||
\(786\) | −9.86828 | + | 26.2377i | −0.351990 | + | 0.935869i | ||||
\(787\) | −20.1068 | − | 21.3119i | −0.716729 | − | 0.759688i | 0.261951 | − | 0.965081i | \(-0.415634\pi\) |
−0.978680 | + | 0.205393i | \(0.934153\pi\) | |||||||
\(788\) | −2.61530 | + | 5.06176i | −0.0931662 | + | 0.180318i | ||||
\(789\) | 15.8390 | + | 2.40002i | 0.563883 | + | 0.0854431i | ||||
\(790\) | 9.30575 | + | 5.08677i | 0.331084 | + | 0.180979i | ||||
\(791\) | −1.62926 | − | 1.36711i | −0.0579297 | − | 0.0486088i | ||||
\(792\) | 20.1908 | + | 23.9653i | 0.717450 | + | 0.851571i | ||||
\(793\) | −6.57938 | + | 5.52075i | −0.233641 | + | 0.196048i | ||||
\(794\) | −37.0373 | + | 7.42620i | −1.31441 | + | 0.263546i | ||||
\(795\) | 0.559856 | − | 0.438201i | 0.0198560 | − | 0.0155414i | ||||
\(796\) | 24.9725 | + | 3.20986i | 0.885128 | + | 0.113771i | ||||
\(797\) | −17.6223 | − | 40.8532i | −0.624215 | − | 1.44709i | −0.877440 | − | 0.479686i | \(-0.840750\pi\) |
0.253225 | − | 0.967408i | \(-0.418509\pi\) | |||||||
\(798\) | 4.07046 | − | 7.89365i | 0.144093 | − | 0.279432i | ||||
\(799\) | −0.692530 | − | 1.37894i | −0.0245000 | − | 0.0487834i | ||||
\(800\) | 10.6837 | + | 24.7410i | 0.377724 | + | 0.874726i | ||||
\(801\) | −14.1197 | + | 23.9075i | −0.498894 | + | 0.844731i | ||||
\(802\) | 15.8114 | − | 33.4057i | 0.558320 | − | 1.17960i | ||||
\(803\) | −4.17044 | − | 3.93460i | −0.147172 | − | 0.138849i | ||||
\(804\) | 35.4150 | − | 30.4897i | 1.24899 | − | 1.07529i | ||||
\(805\) | −0.211465 | − | 0.321517i | −0.00745317 | − | 0.0113320i | ||||
\(806\) | 27.0076 | − | 14.3629i | 0.951303 | − | 0.505912i | ||||
\(807\) | −14.8098 | − | 21.3744i | −0.521328 | − | 0.752415i | ||||
\(808\) | 8.08254 | + | 1.32645i | 0.284343 | + | 0.0466645i | ||||
\(809\) | 33.5965i | 1.18119i | 0.806968 | + | 0.590595i | \(0.201107\pi\) | ||||
−0.806968 | + | 0.590595i | \(0.798893\pi\) | |||||||
\(810\) | 6.01161 | − | 1.44763i | 0.211226 | − | 0.0508645i | ||||
\(811\) | −23.3802 | −0.820991 | −0.410495 | − | 0.911863i | \(-0.634644\pi\) | ||||
−0.410495 | + | 0.911863i | \(0.634644\pi\) | |||||||
\(812\) | 8.44612 | + | 11.6213i | 0.296401 | + | 0.407827i | ||||
\(813\) | −0.647178 | − | 7.84318i | −0.0226975 | − | 0.275072i | ||||
\(814\) | −29.6800 | + | 15.7841i | −1.04028 | + | 0.553233i | ||||
\(815\) | 6.81422 | − | 4.48179i | 0.238692 | − | 0.156990i | ||||
\(816\) | 1.56471 | + | 0.567398i | 0.0547758 | + | 0.0198629i | ||||
\(817\) | 5.09900 | − | 5.40462i | 0.178391 | − | 0.189084i | ||||
\(818\) | 22.4080 | + | 10.6060i | 0.783477 | + | 0.370831i | ||||
\(819\) | 2.00347 | + | 5.67837i | 0.0700070 | + | 0.198418i | ||||
\(820\) | −7.69577 | − | 2.90150i | −0.268748 | − | 0.101325i | ||||
\(821\) | 10.5927 | − | 5.31984i | 0.369687 | − | 0.185664i | −0.254250 | − | 0.967139i | \(-0.581829\pi\) |
0.623937 | + | 0.781475i | \(0.285532\pi\) | |||||||
\(822\) | 2.37648 | + | 3.69870i | 0.0828894 | + | 0.129007i | ||||
\(823\) | 36.4463 | − | 15.7214i | 1.27044 | − | 0.548013i | 0.349212 | − | 0.937044i | \(-0.386449\pi\) |
0.921225 | + | 0.389031i | \(0.127190\pi\) | |||||||
\(824\) | −12.6852 | − | 16.6235i | −0.441909 | − | 0.579108i | ||||
\(825\) | 11.3907 | − | 28.2645i | 0.396573 | − | 0.984044i | ||||
\(826\) | 0.591422 | + | 2.94965i | 0.0205782 | + | 0.102631i | ||||
\(827\) | −26.8136 | − | 31.9552i | −0.932401 | − | 1.11119i | −0.993587 | − | 0.113066i | \(-0.963933\pi\) |
0.0611865 | − | 0.998126i | \(-0.480512\pi\) | |||||||
\(828\) | −2.11802 | + | 4.63535i | −0.0736062 | + | 0.161090i | ||||
\(829\) | −15.0920 | + | 17.9860i | −0.524167 | + | 0.624678i | −0.961561 | − | 0.274592i | \(-0.911457\pi\) |
0.437394 | + | 0.899270i | \(0.355902\pi\) | |||||||
\(830\) | −2.54750 | − | 1.39253i | −0.0884250 | − | 0.0483355i | ||||
\(831\) | 33.5584 | + | 26.8049i | 1.16413 | + | 0.929853i | ||||
\(832\) | −15.1114 | − | 8.25266i | −0.523894 | − | 0.286109i | ||||
\(833\) | −1.07122 | + | 1.01064i | −0.0371156 | + | 0.0350168i | ||||
\(834\) | −6.20653 | − | 37.5386i | −0.214915 | − | 1.29986i | ||||
\(835\) | 3.99065 | − | 9.25137i | 0.138102 | − | 0.320157i | ||||
\(836\) | 14.6430 | − | 24.7032i | 0.506440 | − | 0.854378i | ||||
\(837\) | 24.1003 | + | 46.3268i | 0.833028 | + | 1.60129i | ||||
\(838\) | 49.0307 | + | 13.4398i | 1.69374 | + | 0.464272i | ||||
\(839\) | −45.4084 | + | 5.30749i | −1.56767 | + | 0.183235i | −0.855138 | − | 0.518401i | \(-0.826528\pi\) |
−0.712536 | + | 0.701636i | \(0.752453\pi\) | |||||||
\(840\) | 1.06691 | + | 1.94630i | 0.0368120 | + | 0.0671537i | ||||
\(841\) | 29.5105 | − | 6.99412i | 1.01760 | − | 0.241177i | ||||
\(842\) | −20.4754 | − | 18.4332i | −0.705627 | − | 0.635250i | ||||
\(843\) | −9.24240 | + | 16.9403i | −0.318325 | + | 0.583455i | ||||
\(844\) | 4.73626 | − | 19.0087i | 0.163029 | − | 0.654308i | ||||
\(845\) | −0.705918 | + | 4.00346i | −0.0242843 | + | 0.137723i | ||||
\(846\) | −25.9986 | + | 8.16669i | −0.893849 | + | 0.280776i | ||||
\(847\) | 2.42367 | − | 0.427358i | 0.0832783 | − | 0.0146842i | ||||
\(848\) | 0.273911 | − | 3.36851i | 0.00940615 | − | 0.115675i | ||||
\(849\) | −3.46874 | − | 6.50994i | −0.119047 | − | 0.223420i | ||||
\(850\) | −0.225383 | − | 1.60278i | −0.00773057 | − | 0.0549748i | ||||
\(851\) | −4.38518 | − | 3.26465i | −0.150322 | − | 0.111911i | ||||
\(852\) | −13.2186 | + | 6.84973i | −0.452862 | + | 0.234668i | ||||
\(853\) | −51.5390 | − | 3.00181i | −1.76466 | − | 0.102780i | −0.855130 | − | 0.518413i | \(-0.826523\pi\) |
−0.909532 | + | 0.415633i | \(0.863560\pi\) | |||||||
\(854\) | 3.04345 | − | 4.29384i | 0.104145 | − | 0.146932i | ||||
\(855\) | −3.06687 | − | 4.76479i | −0.104885 | − | 0.162952i | ||||
\(856\) | 4.09488 | − | 2.76343i | 0.139960 | − | 0.0944520i | ||||
\(857\) | 5.71031 | − | 24.0937i | 0.195061 | − | 0.823025i | −0.784214 | − | 0.620490i | \(-0.786934\pi\) |
0.979275 | − | 0.202535i | \(-0.0649181\pi\) | |||||||
\(858\) | 5.38451 | + | 18.7104i | 0.183824 | + | 0.638762i | ||||
\(859\) | −1.26520 | − | 21.7227i | −0.0431682 | − | 0.741170i | −0.948561 | − | 0.316595i | \(-0.897461\pi\) |
0.905393 | − | 0.424575i | \(-0.139577\pi\) | |||||||
\(860\) | 0.407465 | + | 1.81166i | 0.0138945 | + | 0.0617772i | ||||
\(861\) | 13.1892 | + | 3.60395i | 0.449488 | + | 0.122822i | ||||
\(862\) | 7.76033 | + | 6.20879i | 0.264318 | + | 0.211472i | ||||
\(863\) | 22.5587 | + | 39.0728i | 0.767906 | + | 1.33005i | 0.938696 | + | 0.344745i | \(0.112035\pi\) |
−0.170790 | + | 0.985307i | \(0.554632\pi\) | |||||||
\(864\) | 14.3221 | − | 25.6686i | 0.487247 | − | 0.873264i | ||||
\(865\) | 4.19778 | − | 7.27076i | 0.142729 | − | 0.247213i | ||||
\(866\) | 8.70106 | − | 3.39902i | 0.295674 | − | 0.115503i | ||||
\(867\) | 23.9545 | + | 16.9500i | 0.813538 | + | 0.575654i | ||||
\(868\) | −13.7811 | + | 12.7059i | −0.467760 | + | 0.431268i | ||||
\(869\) | −50.9430 | − | 25.5845i | −1.72812 | − | 0.867895i | ||||
\(870\) | 9.11484 | − | 0.966833i | 0.309022 | − | 0.0327787i | ||||
\(871\) | 27.8147 | − | 8.32719i | 0.942467 | − | 0.282156i | ||||
\(872\) | 0.459175 | + | 6.54450i | 0.0155496 | + | 0.221625i | ||||
\(873\) | 4.98231 | + | 46.6146i | 0.168626 | + | 1.57767i | ||||
\(874\) | 4.65005 | + | 0.433735i | 0.157290 | + | 0.0146713i | ||||
\(875\) | 2.43086 | − | 3.69595i | 0.0821781 | − | 0.124946i | ||||
\(876\) | −2.06739 | + | 4.96479i | −0.0698506 | + | 0.167745i | ||||
\(877\) | 3.33721 | − | 28.5517i | 0.112690 | − | 0.964121i | −0.812068 | − | 0.583563i | \(-0.801658\pi\) |
0.924757 | − | 0.380558i | \(-0.124268\pi\) | |||||||
\(878\) | −1.19448 | − | 0.482491i | −0.0403116 | − | 0.0162833i | ||||
\(879\) | −8.58147 | + | 40.5480i | −0.289446 | + | 1.36765i | ||||
\(880\) | 3.07281 | + | 6.48558i | 0.103584 | + | 0.218629i | ||||
\(881\) | −8.83721 | + | 24.2800i | −0.297733 | + | 0.818015i | 0.697145 | + | 0.716930i | \(0.254453\pi\) |
−0.994878 | + | 0.101084i | \(0.967769\pi\) | |||||||
\(882\) | 14.5834 | + | 21.5354i | 0.491050 | + | 0.725135i | ||||
\(883\) | −1.26542 | + | 0.460575i | −0.0425847 | + | 0.0154996i | −0.363225 | − | 0.931702i | \(-0.618324\pi\) |
0.320640 | + | 0.947201i | \(0.396102\pi\) | |||||||
\(884\) | 0.743984 | + | 0.718232i | 0.0250229 | + | 0.0241568i | ||||
\(885\) | 1.81896 | + | 0.612724i | 0.0611438 | + | 0.0205965i | ||||
\(886\) | −3.72427 | + | 17.5280i | −0.125119 | + | 0.588866i | ||||
\(887\) | 11.8329 | − | 39.5246i | 0.397310 | − | 1.32711i | −0.492316 | − | 0.870416i | \(-0.663850\pi\) |
0.889626 | − | 0.456690i | \(-0.150965\pi\) | |||||||
\(888\) | 23.6997 | + | 20.7983i | 0.795308 | + | 0.697947i | ||||
\(889\) | 11.6032 | + | 15.5858i | 0.389158 | + | 0.522730i | ||||
\(890\) | −4.52209 | + | 4.47048i | −0.151581 | + | 0.149851i | ||||
\(891\) | −32.0236 | + | 8.90195i | −1.07283 | + | 0.298226i | ||||
\(892\) | −45.0157 | − | 0.516784i | −1.50724 | − | 0.0173032i | ||||
\(893\) | 14.9127 | + | 20.0312i | 0.499033 | + | 0.670318i | ||||
\(894\) | −3.86057 | + | 20.6053i | −0.129117 | + | 0.689143i | ||||
\(895\) | −4.72436 | − | 1.41438i | −0.157918 | − | 0.0472775i | ||||
\(896\) | 10.2389 | + | 2.54691i | 0.342058 | + | 0.0850863i | ||||
\(897\) | −2.37572 | + | 2.09328i | −0.0793229 | + | 0.0698925i | ||||
\(898\) | −0.698225 | − | 29.8984i | −0.0233001 | − | 0.997722i | ||||
\(899\) | 26.4754 | + | 72.7405i | 0.883003 | + | 2.42603i | ||||
\(900\) | −28.5774 | − | 0.610395i | −0.952579 | − | 0.0203465i | ||||
\(901\) | −0.0694225 | + | 0.190737i | −0.00231280 | + | 0.00635436i | ||||
\(902\) | 41.8851 | + | 14.1465i | 1.39462 | + | 0.471028i | ||||
\(903\) | −0.956515 | − | 2.93507i | −0.0318308 | − | 0.0976729i | ||||
\(904\) | −2.48444 | + | 5.95289i | −0.0826314 | + | 0.197990i | ||||
\(905\) | −0.0294478 | + | 0.251942i | −0.000978877 | + | 0.00837483i | ||||
\(906\) | −5.70047 | + | 44.6321i | −0.189385 | + | 1.48280i | ||||
\(907\) | 38.6007 | + | 25.3881i | 1.28171 | + | 0.842996i | 0.993418 | − | 0.114545i | \(-0.0365410\pi\) |
0.288296 | + | 0.957541i | \(0.406911\pi\) | |||||||
\(908\) | 21.2327 | − | 17.4049i | 0.704631 | − | 0.577603i | ||||
\(909\) | −4.84531 | + | 7.21080i | −0.160709 | + | 0.239167i | ||||
\(910\) | 0.112302 | + | 1.37443i | 0.00372276 | + | 0.0455619i | ||||
\(911\) | 14.1885 | + | 47.3927i | 0.470084 | + | 1.57019i | 0.784013 | + | 0.620745i | \(0.213170\pi\) |
−0.313928 | + | 0.949447i | \(0.601645\pi\) | |||||||
\(912\) | −26.5327 | − | 4.64584i | −0.878585 | − | 0.153839i | ||||
\(913\) | 13.9459 | + | 7.00390i | 0.461542 | + | 0.231795i | ||||
\(914\) | −1.23743 | + | 35.5147i | −0.0409305 | + | 1.17472i | ||||
\(915\) | −1.40407 | − | 3.05028i | −0.0464172 | − | 0.100839i | ||||
\(916\) | 2.62443 | − | 5.89704i | 0.0867136 | − | 0.194844i | ||||
\(917\) | 5.33625 | − | 9.24265i | 0.176218 | − | 0.305219i | ||||
\(918\) | −1.23761 | + | 1.25892i | −0.0408472 | + | 0.0415504i | ||||
\(919\) | 21.9774 | − | 12.6887i | 0.724967 | − | 0.418560i | −0.0916110 | − | 0.995795i | \(-0.529202\pi\) |
0.816578 | + | 0.577235i | \(0.195868\pi\) | |||||||
\(920\) | −0.739559 | + | 0.902924i | −0.0243826 | + | 0.0297685i | ||||
\(921\) | −0.301788 | − | 1.14895i | −0.00994425 | − | 0.0378593i | ||||
\(922\) | 23.2693 | + | 14.5377i | 0.766332 | + | 0.478774i | ||||
\(923\) | −9.23427 | + | 0.537835i | −0.303950 | + | 0.0177030i | ||||
\(924\) | −6.09580 | − | 10.2559i | −0.200537 | − | 0.337394i | ||||
\(925\) | 7.07131 | − | 29.8362i | 0.232503 | − | 0.981009i | ||||
\(926\) | −23.0205 | − | 33.2817i | −0.756502 | − | 1.09370i | ||||
\(927\) | 21.6307 | − | 4.90146i | 0.710446 | − | 0.160985i | ||||
\(928\) | 26.0056 | − | 34.9600i | 0.853676 | − | 1.14762i | ||||
\(929\) | −21.6792 | − | 1.26267i | −0.711272 | − | 0.0414269i | −0.301306 | − | 0.953528i | \(-0.597422\pi\) |
−0.409966 | + | 0.912101i | \(0.634459\pi\) | |||||||
\(930\) | 2.63361 | + | 11.6658i | 0.0863595 | + | 0.382537i | ||||
\(931\) | 14.2328 | − | 19.1179i | 0.466460 | − | 0.626565i | ||||
\(932\) | 12.9485 | − | 16.9823i | 0.424141 | − | 0.556273i | ||||
\(933\) | 25.5345 | + | 0.869201i | 0.835962 | + | 0.0284564i | ||||
\(934\) | −9.81195 | − | 11.1539i | −0.321057 | − | 0.364965i | ||||
\(935\) | −0.0748470 | − | 0.424478i | −0.00244776 | − | 0.0138819i | ||||
\(936\) | 14.6270 | − | 10.9348i | 0.478099 | − | 0.357415i | ||||
\(937\) | 4.17692 | − | 23.6885i | 0.136454 | − | 0.773870i | −0.837382 | − | 0.546618i | \(-0.815915\pi\) |
0.973836 | − | 0.227252i | \(-0.0729740\pi\) | |||||||
\(938\) | −15.1963 | + | 9.25322i | −0.496176 | + | 0.302128i | ||||
\(939\) | −0.263177 | − | 10.8952i | −0.00858845 | − | 0.355552i | ||||
\(940\) | −6.23414 | + | 0.291334i | −0.203335 | + | 0.00950227i | ||||
\(941\) | 50.8820 | − | 12.0593i | 1.65871 | − | 0.393121i | 0.708740 | − | 0.705470i | \(-0.249264\pi\) |
0.949967 | + | 0.312349i | \(0.101116\pi\) | |||||||
\(942\) | −0.103679 | + | 9.70912i | −0.00337803 | + | 0.316340i | ||||
\(943\) | 0.834683 | + | 7.14117i | 0.0271810 | + | 0.232548i | ||||
\(944\) | 8.00434 | − | 4.37944i | 0.260519 | − | 0.142539i | ||||
\(945\) | −2.34801 | + | 0.170415i | −0.0763807 | + | 0.00554361i | ||||
\(946\) | −2.52802 | − | 9.65606i | −0.0821930 | − | 0.313946i | ||||
\(947\) | 29.7256 | + | 12.8224i | 0.965952 | + | 0.416671i | 0.819837 | − | 0.572597i | \(-0.194064\pi\) |
0.146115 | + | 0.989268i | \(0.453323\pi\) | |||||||
\(948\) | −5.53426 | + | 53.1846i | −0.179744 | + | 1.72736i | ||||
\(949\) | −2.43044 | + | 2.29300i | −0.0788954 | + | 0.0744340i | ||||
\(950\) | 8.09636 | + | 24.9114i | 0.262681 | + | 0.808233i | ||||
\(951\) | 11.2107 | + | 28.6303i | 0.363533 | + | 0.928403i | ||||
\(952\) | −0.552505 | − | 0.310304i | −0.0179068 | − | 0.0100570i | ||||
\(953\) | 22.5492 | − | 26.8731i | 0.730440 | − | 0.870505i | −0.265160 | − | 0.964204i | \(-0.585425\pi\) |
0.995601 | + | 0.0936997i | \(0.0298693\pi\) | |||||||
\(954\) | 3.12825 | + | 1.75033i | 0.101281 | + | 0.0566691i | ||||
\(955\) | 1.46811 | − | 1.23189i | 0.0475070 | − | 0.0398631i | ||||
\(956\) | −20.9221 | + | 31.0287i | −0.676668 | + | 1.00354i | ||||
\(957\) | −48.7843 | + | 6.89995i | −1.57697 | + | 0.223044i | ||||
\(958\) | 12.6098 | + | 16.1372i | 0.407405 | + | 0.521371i | ||||
\(959\) | −0.662958 | − | 1.53691i | −0.0214080 | − | 0.0496294i | ||||
\(960\) | 4.66969 | − | 4.84867i | 0.150714 | − | 0.156490i | ||||
\(961\) | −62.5541 | + | 31.4159i | −2.01788 | + | 1.01342i | ||||
\(962\) | 8.17734 | + | 17.8024i | 0.263648 | + | 0.573974i | ||||
\(963\) | 0.858868 | + | 5.16890i | 0.0276766 | + | 0.166565i | ||||
\(964\) | 11.6674 | + | 33.2383i | 0.375783 | + | 1.07053i | ||||
\(965\) | −0.507626 | + | 0.538053i | −0.0163411 | + | 0.0173205i | ||||
\(966\) | 1.08345 | − | 1.60961i | 0.0348596 | − | 0.0517884i | ||||
\(967\) | −5.14602 | − | 7.82415i | −0.165485 | − | 0.251608i | 0.743220 | − | 0.669048i | \(-0.233298\pi\) |
−0.908705 | + | 0.417440i | \(0.862927\pi\) | |||||||
\(968\) | −3.42885 | − | 6.63000i | −0.110207 | − | 0.213096i | ||||
\(969\) | 1.46281 | + | 0.690934i | 0.0469922 | + | 0.0221960i | ||||
\(970\) | −1.61698 | + | 10.6139i | −0.0519182 | + | 0.340791i | ||||
\(971\) | − | 14.6164i | − | 0.469062i | −0.972109 | − | 0.234531i | \(-0.924645\pi\) | ||
0.972109 | − | 0.234531i | \(-0.0753554\pi\) | |||||||
\(972\) | 18.4400 | + | 25.1390i | 0.591463 | + | 0.806332i | ||||
\(973\) | 14.4859i | 0.464396i | ||||||||
\(974\) | 2.22068 | + | 0.338312i | 0.0711551 | + | 0.0108402i | ||||
\(975\) | −16.0581 | − | 7.58478i | −0.514271 | − | 0.242907i | ||||
\(976\) | −15.1826 | − | 4.92790i | −0.485984 | − | 0.157738i | ||||
\(977\) | 16.8051 | + | 25.5510i | 0.537644 | + | 0.817447i | 0.997509 | − | 0.0705413i | \(-0.0224727\pi\) |
−0.459865 | + | 0.887989i | \(0.652102\pi\) | |||||||
\(978\) | 34.1140 | + | 22.9627i | 1.09085 | + | 0.734266i | ||||
\(979\) | 23.4561 | − | 24.8620i | 0.749660 | − | 0.794594i | ||||
\(980\) | 1.97283 | + | 5.62021i | 0.0630197 | + | 0.179531i | ||||
\(981\) | −6.51508 | − | 2.44443i | −0.208010 | − | 0.0780447i | ||||
\(982\) | −48.0417 | + | 22.0674i | −1.53307 | + | 0.704199i | ||||
\(983\) | 27.5033 | − | 13.8127i | 0.877218 | − | 0.440556i | 0.0475868 | − | 0.998867i | \(-0.484847\pi\) |
0.829631 | + | 0.558312i | \(0.188551\pi\) | |||||||
\(984\) | −1.49336 | − | 41.4414i | −0.0476067 | − | 1.32110i | ||||
\(985\) | −0.548161 | − | 1.27078i | −0.0174659 | − | 0.0404905i | ||||
\(986\) | −2.06201 | + | 1.61128i | −0.0656677 | + | 0.0513135i | ||||
\(987\) | 10.2729 | − | 1.45297i | 0.326989 | − | 0.0462486i | ||||
\(988\) | −13.8759 | − | 9.35629i | −0.441452 | − | 0.297663i | ||||
\(989\) | 1.24351 | − | 1.04343i | 0.0395413 | − | 0.0331791i | ||||
\(990\) | −7.61134 | + | 0.102550i | −0.241904 | + | 0.00325924i | ||||
\(991\) | −8.25841 | + | 9.84199i | −0.262337 | + | 0.312641i | −0.881094 | − | 0.472942i | \(-0.843192\pi\) |
0.618757 | + | 0.785583i | \(0.287637\pi\) | |||||||
\(992\) | 49.2452 | + | 28.4061i | 1.56354 | + | 0.901895i | ||||
\(993\) | 9.14314 | + | 23.3501i | 0.290149 | + | 0.740992i | ||||
\(994\) | 5.39062 | − | 1.75198i | 0.170980 | − | 0.0555696i | ||||
\(995\) | −4.44858 | + | 4.19702i | −0.141030 | + | 0.133054i | ||||
\(996\) | 1.51503 | − | 14.5596i | 0.0480057 | − | 0.461338i | ||||
\(997\) | −8.15096 | − | 3.51598i | −0.258143 | − | 0.111352i | 0.263075 | − | 0.964775i | \(-0.415263\pi\) |
−0.521219 | + | 0.853423i | \(0.674522\pi\) | |||||||
\(998\) | 10.0829 | − | 2.63977i | 0.319168 | − | 0.0835604i | ||||
\(999\) | −30.5169 | + | 13.6836i | −0.965513 | + | 0.432930i |
(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 | 648.2.bb.b.155.57 | ✓ | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.101 | yes | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.101 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.57 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.57 | ✓ | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.155.101 | yes | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.347.57 | yes | 1872 | 648.347 | even | 54 | inner | |
648.2.bb.b.347.101 | yes | 1872 | 81.23 | odd | 54 | inner |