Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.21 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.b.625.21 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41482 | + | 0.964607i | 1.00043 | + | 0.682080i | 0.948568 | − | 0.316575i | \(-0.102533\pi\) |
0.0518598 | + | 0.998654i | \(0.483485\pi\) | |||||||
\(3\) | 1.37614 | + | 1.27687i | 0.794516 | + | 0.737203i | 0.968894 | − | 0.247475i | \(-0.0796009\pi\) |
−0.174378 | + | 0.984679i | \(0.555791\pi\) | |||||||
\(4\) | 0.340562 | + | 0.867738i | 0.170281 | + | 0.433869i | ||||
\(5\) | 3.26900 | − | 1.00835i | 1.46194 | − | 0.450949i | 0.541124 | − | 0.840943i | \(-0.317999\pi\) |
0.920818 | + | 0.389994i | \(0.127523\pi\) | |||||||
\(6\) | 0.715311 | + | 3.13398i | 0.292024 | + | 1.27944i | ||||
\(7\) | −0.397118 | + | 2.61578i | −0.150096 | + | 0.988671i | ||||
\(8\) | 0.406879 | − | 1.78265i | 0.143854 | − | 0.630264i | ||||
\(9\) | 0.0391717 | + | 0.522709i | 0.0130572 | + | 0.174236i | ||||
\(10\) | 5.59770 | + | 1.72666i | 1.77015 | + | 0.546019i | ||||
\(11\) | 0.0906847 | − | 1.21010i | 0.0273425 | − | 0.364860i | −0.966704 | − | 0.255899i | \(-0.917629\pi\) |
0.994046 | − | 0.108961i | \(-0.0347524\pi\) | |||||||
\(12\) | −0.639330 | + | 1.62899i | −0.184559 | + | 0.470248i | ||||
\(13\) | −0.900969 | + | 0.433884i | −0.249884 | + | 0.120338i | ||||
\(14\) | −3.08505 | + | 3.31779i | −0.824513 | + | 0.886716i | ||||
\(15\) | 5.78615 | + | 2.78646i | 1.49398 | + | 0.719462i | ||||
\(16\) | 3.66189 | − | 3.39773i | 0.915472 | − | 0.849434i | ||||
\(17\) | −6.85517 | + | 1.03325i | −1.66262 | + | 0.250600i | −0.912018 | − | 0.410150i | \(-0.865476\pi\) |
−0.750606 | + | 0.660750i | \(0.770238\pi\) | |||||||
\(18\) | −0.448788 | + | 0.777324i | −0.105780 | + | 0.183217i | ||||
\(19\) | −1.96502 | − | 3.40352i | −0.450807 | − | 0.780821i | 0.547629 | − | 0.836721i | \(-0.315530\pi\) |
−0.998436 | + | 0.0559004i | \(0.982197\pi\) | |||||||
\(20\) | 1.98828 | + | 2.49323i | 0.444594 | + | 0.557503i | ||||
\(21\) | −3.88651 | + | 3.09262i | −0.848106 | + | 0.674864i | ||||
\(22\) | 1.29558 | − | 1.62460i | 0.276218 | − | 0.346366i | ||||
\(23\) | −5.83911 | − | 0.880104i | −1.21754 | − | 0.183514i | −0.491320 | − | 0.870979i | \(-0.663486\pi\) |
−0.726218 | + | 0.687465i | \(0.758724\pi\) | |||||||
\(24\) | 2.83615 | − | 1.93365i | 0.578927 | − | 0.394705i | ||||
\(25\) | 5.53839 | − | 3.77601i | 1.10768 | − | 0.755203i | ||||
\(26\) | −1.69323 | − | 0.255214i | −0.332071 | − | 0.0500516i | ||||
\(27\) | 2.89786 | − | 3.63381i | 0.557694 | − | 0.699326i | ||||
\(28\) | −2.40505 | + | 0.546241i | −0.454512 | + | 0.103230i | ||||
\(29\) | 3.59423 | + | 4.50702i | 0.667431 | + | 0.836932i | 0.994130 | − | 0.108197i | \(-0.0345076\pi\) |
−0.326698 | + | 0.945129i | \(0.605936\pi\) | |||||||
\(30\) | 5.49851 | + | 9.52370i | 1.00389 | + | 1.73878i | ||||
\(31\) | −1.66935 | + | 2.89140i | −0.299824 | + | 0.519310i | −0.976095 | − | 0.217342i | \(-0.930261\pi\) |
0.676272 | + | 0.736652i | \(0.263595\pi\) | |||||||
\(32\) | 4.84223 | − | 0.729849i | 0.855993 | − | 0.129020i | ||||
\(33\) | 1.66994 | − | 1.54948i | 0.290700 | − | 0.269730i | ||||
\(34\) | −10.6955 | − | 5.15068i | −1.83426 | − | 0.883335i | ||||
\(35\) | 1.33945 | + | 8.95142i | 0.226408 | + | 1.51307i | ||||
\(36\) | −0.440234 | + | 0.212006i | −0.0733724 | + | 0.0353343i | ||||
\(37\) | −2.51627 | + | 6.41134i | −0.413671 | + | 1.05402i | 0.560489 | + | 0.828162i | \(0.310613\pi\) |
−0.974161 | + | 0.225856i | \(0.927482\pi\) | |||||||
\(38\) | 0.502907 | − | 6.71083i | 0.0815823 | − | 1.08864i | ||||
\(39\) | −1.79388 | − | 0.553338i | −0.287250 | − | 0.0886049i | ||||
\(40\) | −0.467457 | − | 6.23778i | −0.0739114 | − | 0.986279i | ||||
\(41\) | −2.12276 | + | 9.30042i | −0.331519 | + | 1.45248i | 0.484670 | + | 0.874697i | \(0.338940\pi\) |
−0.816190 | + | 0.577784i | \(0.803918\pi\) | |||||||
\(42\) | −8.48186 | + | 0.626535i | −1.30878 | + | 0.0966764i | ||||
\(43\) | 0.0222504 | + | 0.0974853i | 0.00339315 | + | 0.0148664i | 0.976596 | − | 0.215081i | \(-0.0690016\pi\) |
−0.973203 | + | 0.229948i | \(0.926145\pi\) | |||||||
\(44\) | 1.08094 | − | 0.333425i | 0.162957 | − | 0.0502657i | ||||
\(45\) | 0.655128 | + | 1.66924i | 0.0976607 | + | 0.248835i | ||||
\(46\) | −7.41232 | − | 6.87763i | −1.09289 | − | 1.01405i | ||||
\(47\) | −5.39605 | − | 3.67897i | −0.787095 | − | 0.536632i | 0.101766 | − | 0.994808i | \(-0.467551\pi\) |
−0.888862 | + | 0.458176i | \(0.848503\pi\) | |||||||
\(48\) | 9.37776 | 1.35356 | ||||||||
\(49\) | −6.68459 | − | 2.07754i | −0.954942 | − | 0.296792i | ||||
\(50\) | 11.4782 | 1.62326 | ||||||||
\(51\) | −10.7530 | − | 7.33129i | −1.50573 | − | 1.02659i | ||||
\(52\) | −0.683333 | − | 0.634041i | −0.0947613 | − | 0.0879256i | ||||
\(53\) | −1.27733 | − | 3.25459i | −0.175455 | − | 0.447053i | 0.815911 | − | 0.578178i | \(-0.196236\pi\) |
−0.991366 | + | 0.131126i | \(0.958141\pi\) | |||||||
\(54\) | 7.60514 | − | 2.34588i | 1.03493 | − | 0.319233i | ||||
\(55\) | −0.923763 | − | 4.04727i | −0.124560 | − | 0.545734i | ||||
\(56\) | 4.50145 | + | 1.77223i | 0.601532 | + | 0.236824i | ||||
\(57\) | 1.64171 | − | 7.19281i | 0.217450 | − | 0.952711i | ||||
\(58\) | 0.737678 | + | 9.84362i | 0.0968618 | + | 1.29253i | ||||
\(59\) | 8.95958 | + | 2.76367i | 1.16644 | + | 0.359799i | 0.816708 | − | 0.577052i | \(-0.195797\pi\) |
0.349731 | + | 0.936850i | \(0.386273\pi\) | |||||||
\(60\) | −0.447377 | + | 5.96983i | −0.0577561 | + | 0.770701i | ||||
\(61\) | −2.52102 | + | 6.42346i | −0.322784 | + | 0.822439i | 0.673727 | + | 0.738980i | \(0.264692\pi\) |
−0.996511 | + | 0.0834595i | \(0.973403\pi\) | |||||||
\(62\) | −5.15089 | + | 2.48054i | −0.654163 | + | 0.315028i | ||||
\(63\) | −1.38285 | − | 0.105113i | −0.174222 | − | 0.0132430i | ||||
\(64\) | −1.44651 | − | 0.696603i | −0.180814 | − | 0.0870753i | ||||
\(65\) | −2.50776 | + | 2.32686i | −0.311049 | + | 0.288612i | ||||
\(66\) | 3.85731 | − | 0.581395i | 0.474802 | − | 0.0715648i | ||||
\(67\) | 0.369527 | − | 0.640039i | 0.0451449 | − | 0.0781932i | −0.842570 | − | 0.538587i | \(-0.818958\pi\) |
0.887715 | + | 0.460394i | \(0.152292\pi\) | |||||||
\(68\) | −3.23120 | − | 5.59661i | −0.391841 | − | 0.678689i | ||||
\(69\) | −6.91166 | − | 8.66695i | −0.832067 | − | 1.04338i | ||||
\(70\) | −6.73952 | + | 13.9567i | −0.805526 | + | 1.66814i | ||||
\(71\) | 6.90852 | − | 8.66301i | 0.819890 | − | 1.02811i | −0.179129 | − | 0.983826i | \(-0.557328\pi\) |
0.999019 | − | 0.0442844i | \(-0.0141008\pi\) | |||||||
\(72\) | 0.947748 | + | 0.142850i | 0.111693 | + | 0.0168350i | ||||
\(73\) | 0.731305 | − | 0.498595i | 0.0855927 | − | 0.0583561i | −0.519768 | − | 0.854308i | \(-0.673981\pi\) |
0.605360 | + | 0.795952i | \(0.293029\pi\) | |||||||
\(74\) | −9.74448 | + | 6.64367i | −1.13277 | + | 0.772311i | ||||
\(75\) | 12.4431 | + | 1.87550i | 1.43681 | + | 0.216564i | ||||
\(76\) | 2.28415 | − | 2.86423i | 0.262010 | − | 0.328550i | ||||
\(77\) | 3.12935 | + | 0.717765i | 0.356622 | + | 0.0817969i | ||||
\(78\) | −2.00426 | − | 2.51326i | −0.226937 | − | 0.284570i | ||||
\(79\) | −5.42120 | − | 9.38979i | −0.609932 | − | 1.05643i | −0.991251 | − | 0.131990i | \(-0.957863\pi\) |
0.381319 | − | 0.924444i | \(-0.375470\pi\) | |||||||
\(80\) | 8.54459 | − | 14.7997i | 0.955315 | − | 1.65465i | ||||
\(81\) | 10.1827 | − | 1.53480i | 1.13142 | − | 0.170534i | ||||
\(82\) | −11.9746 | + | 11.1108i | −1.32237 | + | 1.22698i | ||||
\(83\) | 6.92944 | + | 3.33704i | 0.760605 | + | 0.366288i | 0.773639 | − | 0.633627i | \(-0.218435\pi\) |
−0.0130336 | + | 0.999915i | \(0.504149\pi\) | |||||||
\(84\) | −4.00718 | − | 2.31924i | −0.437219 | − | 0.253050i | ||||
\(85\) | −21.3677 | + | 10.2901i | −2.31765 | + | 1.11612i | ||||
\(86\) | −0.0625547 | + | 0.159387i | −0.00674545 | + | 0.0171871i | ||||
\(87\) | −0.808724 | + | 10.7917i | −0.0867043 | + | 1.15699i | ||||
\(88\) | −2.12030 | − | 0.654025i | −0.226025 | − | 0.0697193i | ||||
\(89\) | 0.337221 | + | 4.49990i | 0.0357454 | + | 0.476989i | 0.986137 | + | 0.165933i | \(0.0530635\pi\) |
−0.950392 | + | 0.311056i | \(0.899317\pi\) | |||||||
\(90\) | −0.683272 | + | 2.99361i | −0.0720232 | + | 0.315554i | ||||
\(91\) | −0.777153 | − | 2.52904i | −0.0814678 | − | 0.265115i | ||||
\(92\) | −1.22488 | − | 5.36655i | −0.127702 | − | 0.559501i | ||||
\(93\) | −5.98921 | + | 1.84743i | −0.621052 | + | 0.191569i | ||||
\(94\) | −4.08568 | − | 10.4101i | −0.421405 | − | 1.07372i | ||||
\(95\) | −9.85561 | − | 9.14467i | −1.01116 | − | 0.938223i | ||||
\(96\) | 7.59552 | + | 5.17854i | 0.775215 | + | 0.528532i | ||||
\(97\) | 15.9292 | 1.61736 | 0.808681 | − | 0.588248i | \(-0.200182\pi\) | ||||
0.808681 | + | 0.588248i | \(0.200182\pi\) | |||||||
\(98\) | −7.45347 | − | 9.38735i | −0.752914 | − | 0.948266i | ||||
\(99\) | 0.636085 | 0.0639289 | ||||||||
\(100\) | 5.16276 | + | 3.51991i | 0.516276 | + | 0.351991i | ||||
\(101\) | 6.21269 | + | 5.76453i | 0.618185 | + | 0.573592i | 0.925845 | − | 0.377904i | \(-0.123355\pi\) |
−0.307659 | + | 0.951497i | \(0.599546\pi\) | |||||||
\(102\) | −8.14177 | − | 20.7449i | −0.806155 | − | 2.05405i | ||||
\(103\) | 9.64130 | − | 2.97395i | 0.949986 | − | 0.293032i | 0.219232 | − | 0.975673i | \(-0.429645\pi\) |
0.730754 | + | 0.682641i | \(0.239169\pi\) | |||||||
\(104\) | 0.406879 | + | 1.78265i | 0.0398978 | + | 0.174804i | ||||
\(105\) | −9.58655 | + | 14.0287i | −0.935552 | + | 1.36906i | ||||
\(106\) | 1.33221 | − | 5.83678i | 0.129395 | − | 0.566918i | ||||
\(107\) | −0.183539 | − | 2.44916i | −0.0177434 | − | 0.236769i | −0.999023 | − | 0.0441831i | \(-0.985931\pi\) |
0.981280 | − | 0.192586i | \(-0.0616876\pi\) | |||||||
\(108\) | 4.14009 | + | 1.27705i | 0.398381 | + | 0.122884i | ||||
\(109\) | 0.421036 | − | 5.61833i | 0.0403279 | − | 0.538139i | −0.940053 | − | 0.341028i | \(-0.889225\pi\) |
0.980381 | − | 0.197111i | \(-0.0631559\pi\) | |||||||
\(110\) | 2.59707 | − | 6.61722i | 0.247621 | − | 0.630927i | ||||
\(111\) | −11.6492 | + | 5.60996i | −1.10569 | + | 0.532474i | ||||
\(112\) | 7.43352 | + | 10.9280i | 0.702402 | + | 1.03260i | ||||
\(113\) | 14.3948 | + | 6.93215i | 1.35415 | + | 0.652122i | 0.963323 | − | 0.268344i | \(-0.0864763\pi\) |
0.390823 | + | 0.920466i | \(0.372191\pi\) | |||||||
\(114\) | 9.26096 | − | 8.59291i | 0.867368 | − | 0.804800i | ||||
\(115\) | −19.9755 | + | 3.01082i | −1.86273 | + | 0.280761i | ||||
\(116\) | −2.68685 | + | 4.65377i | −0.249468 | + | 0.432091i | ||||
\(117\) | −0.262088 | − | 0.453949i | −0.0242300 | − | 0.0419676i | ||||
\(118\) | 10.0103 | + | 12.5526i | 0.921525 | + | 1.15556i | ||||
\(119\) | 0.0195550 | − | 18.3419i | 0.00179260 | − | 1.68140i | ||||
\(120\) | 7.32157 | − | 9.18095i | 0.668365 | − | 0.838103i | ||||
\(121\) | 9.42101 | + | 1.41999i | 0.856456 | + | 0.129090i | ||||
\(122\) | −9.76290 | + | 6.65623i | −0.883891 | + | 0.602627i | ||||
\(123\) | −14.7967 | + | 10.0882i | −1.33417 | + | 0.909623i | ||||
\(124\) | −3.07749 | − | 0.463857i | −0.276367 | − | 0.0416556i | ||||
\(125\) | 3.63271 | − | 4.55527i | 0.324919 | − | 0.407436i | ||||
\(126\) | −1.85509 | − | 1.48262i | −0.165264 | − | 0.132082i | ||||
\(127\) | −5.13103 | − | 6.43410i | −0.455305 | − | 0.570934i | 0.500200 | − | 0.865910i | \(-0.333260\pi\) |
−0.955505 | + | 0.294976i | \(0.904688\pi\) | |||||||
\(128\) | −6.27152 | − | 10.8626i | −0.554330 | − | 0.960127i | ||||
\(129\) | −0.0938568 | + | 0.162565i | −0.00826363 | + | 0.0143130i | ||||
\(130\) | −5.79253 | + | 0.873083i | −0.508038 | + | 0.0765745i | ||||
\(131\) | −2.95664 | + | 2.74336i | −0.258323 | + | 0.239688i | −0.798693 | − | 0.601739i | \(-0.794475\pi\) |
0.540370 | + | 0.841427i | \(0.318284\pi\) | |||||||
\(132\) | 1.91326 | + | 0.921379i | 0.166528 | + | 0.0801958i | ||||
\(133\) | 9.68319 | − | 3.78847i | 0.839639 | − | 0.328502i | ||||
\(134\) | 1.14020 | − | 0.549091i | 0.0984982 | − | 0.0474342i | ||||
\(135\) | 5.80896 | − | 14.8010i | 0.499956 | − | 1.27387i | ||||
\(136\) | −0.947298 | + | 12.6408i | −0.0812302 | + | 1.08394i | ||||
\(137\) | −3.42075 | − | 1.05516i | −0.292254 | − | 0.0901484i | 0.145161 | − | 0.989408i | \(-0.453630\pi\) |
−0.437415 | + | 0.899260i | \(0.644106\pi\) | |||||||
\(138\) | −1.41855 | − | 18.9292i | −0.120755 | − | 1.61136i | ||||
\(139\) | 4.13959 | − | 18.1367i | 0.351116 | − | 1.53834i | −0.423494 | − | 0.905899i | \(-0.639197\pi\) |
0.774610 | − | 0.632439i | \(-0.217946\pi\) | |||||||
\(140\) | −7.31132 | + | 4.21080i | −0.617919 | + | 0.355878i | ||||
\(141\) | −2.72816 | − | 11.9529i | −0.229753 | − | 1.00661i | ||||
\(142\) | 18.1307 | − | 5.59258i | 1.52149 | − | 0.469319i | ||||
\(143\) | 0.443340 | + | 1.12961i | 0.0370740 | + | 0.0944629i | ||||
\(144\) | 1.91947 | + | 1.78101i | 0.159956 | + | 0.148417i | ||||
\(145\) | 16.2942 | + | 11.1092i | 1.35316 | + | 0.922568i | ||||
\(146\) | 1.51561 | 0.125433 | ||||||||
\(147\) | −6.54619 | − | 11.3944i | −0.539921 | − | 0.939793i | ||||
\(148\) | −6.42031 | −0.527746 | ||||||||
\(149\) | 9.03823 | + | 6.16216i | 0.740441 | + | 0.504824i | 0.873825 | − | 0.486241i | \(-0.161632\pi\) |
−0.133384 | + | 0.991064i | \(0.542584\pi\) | |||||||
\(150\) | 15.7956 | + | 14.6562i | 1.28971 | + | 1.19667i | ||||
\(151\) | −3.15802 | − | 8.04651i | −0.256996 | − | 0.654816i | 0.742897 | − | 0.669405i | \(-0.233451\pi\) |
−0.999894 | + | 0.0145895i | \(0.995356\pi\) | |||||||
\(152\) | −6.86682 | + | 2.11813i | −0.556973 | + | 0.171803i | ||||
\(153\) | −0.808619 | − | 3.54279i | −0.0653729 | − | 0.286418i | ||||
\(154\) | 3.73510 | + | 4.03410i | 0.300983 | + | 0.325077i | ||||
\(155\) | −2.54155 | + | 11.1353i | −0.204142 | + | 0.894406i | ||||
\(156\) | −0.130774 | − | 1.74506i | −0.0104703 | − | 0.139717i | ||||
\(157\) | −0.729716 | − | 0.225088i | −0.0582377 | − | 0.0179639i | 0.265499 | − | 0.964111i | \(-0.414463\pi\) |
−0.323737 | + | 0.946147i | \(0.604939\pi\) | |||||||
\(158\) | 1.38744 | − | 18.5142i | 0.110379 | − | 1.47291i | ||||
\(159\) | 2.39791 | − | 6.10978i | 0.190167 | − | 0.484537i | ||||
\(160\) | 15.0933 | − | 7.26855i | 1.19323 | − | 0.574629i | ||||
\(161\) | 4.62097 | − | 14.9243i | 0.364184 | − | 1.17620i | ||||
\(162\) | 15.8872 | + | 7.65088i | 1.24822 | + | 0.601110i | ||||
\(163\) | 8.96191 | − | 8.31544i | 0.701951 | − | 0.651315i | −0.246169 | − | 0.969227i | \(-0.579172\pi\) |
0.948120 | + | 0.317911i | \(0.102981\pi\) | |||||||
\(164\) | −8.79326 | + | 1.32537i | −0.686638 | + | 0.103494i | ||||
\(165\) | 3.89662 | − | 6.74915i | 0.303352 | − | 0.525421i | ||||
\(166\) | 6.58497 | + | 11.4055i | 0.511092 | + | 0.885238i | ||||
\(167\) | −0.709397 | − | 0.889556i | −0.0548948 | − | 0.0688359i | 0.753626 | − | 0.657303i | \(-0.228303\pi\) |
−0.808521 | + | 0.588467i | \(0.799732\pi\) | |||||||
\(168\) | 3.93172 | + | 8.18663i | 0.303339 | + | 0.631612i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | −40.1573 | − | 6.05274i | −3.07993 | − | 0.464224i | ||||
\(171\) | 1.70208 | − | 1.16046i | 0.130161 | − | 0.0887424i | ||||
\(172\) | −0.0770141 | + | 0.0525073i | −0.00587227 | + | 0.00400365i | ||||
\(173\) | −21.4662 | − | 3.23550i | −1.63204 | − | 0.245991i | −0.731844 | − | 0.681473i | \(-0.761340\pi\) |
−0.900197 | + | 0.435482i | \(0.856578\pi\) | |||||||
\(174\) | −11.5539 | + | 14.4882i | −0.875900 | + | 1.09834i | ||||
\(175\) | 7.67782 | + | 15.9867i | 0.580389 | + | 1.20848i | ||||
\(176\) | −3.77953 | − | 4.73938i | −0.284893 | − | 0.357244i | ||||
\(177\) | 8.80081 | + | 15.2435i | 0.661509 | + | 1.14577i | ||||
\(178\) | −3.86353 | + | 6.69183i | −0.289584 | + | 0.501574i | ||||
\(179\) | −4.39552 | + | 0.662517i | −0.328536 | + | 0.0495189i | −0.311239 | − | 0.950332i | \(-0.600744\pi\) |
−0.0172968 | + | 0.999850i | \(0.505506\pi\) | |||||||
\(180\) | −1.22535 | + | 1.13696i | −0.0913322 | + | 0.0847439i | ||||
\(181\) | 20.9968 | + | 10.1115i | 1.56068 | + | 0.751585i | 0.997217 | − | 0.0745543i | \(-0.0237534\pi\) |
0.563466 | + | 0.826139i | \(0.309468\pi\) | |||||||
\(182\) | 1.34000 | − | 4.32778i | 0.0993272 | − | 0.320796i | ||||
\(183\) | −11.6712 | + | 5.62057i | −0.862762 | + | 0.415484i | ||||
\(184\) | −3.94473 | + | 10.0510i | −0.290810 | + | 0.740971i | ||||
\(185\) | −1.76078 | + | 23.4960i | −0.129455 | + | 1.72746i | ||||
\(186\) | −10.2557 | − | 3.16346i | −0.751983 | − | 0.231956i | ||||
\(187\) | 0.628681 | + | 8.38917i | 0.0459737 | + | 0.613477i | ||||
\(188\) | 1.35469 | − | 5.93528i | 0.0988008 | − | 0.432874i | ||||
\(189\) | 8.35444 | + | 9.02322i | 0.607696 | + | 0.656343i | ||||
\(190\) | −5.12288 | − | 22.4448i | −0.371653 | − | 1.62832i | ||||
\(191\) | 10.5033 | − | 3.23984i | 0.759991 | − | 0.234426i | 0.109549 | − | 0.993981i | \(-0.465059\pi\) |
0.650443 | + | 0.759555i | \(0.274583\pi\) | |||||||
\(192\) | −1.10113 | − | 2.80564i | −0.0794673 | − | 0.202479i | ||||
\(193\) | −16.1010 | − | 14.9395i | −1.15897 | − | 1.07537i | −0.996056 | − | 0.0887306i | \(-0.971719\pi\) |
−0.162918 | − | 0.986640i | \(-0.552091\pi\) | |||||||
\(194\) | 22.5369 | + | 15.3654i | 1.61805 | + | 1.10317i | ||||
\(195\) | −6.42214 | −0.459899 | ||||||||
\(196\) | −0.473755 | − | 6.50801i | −0.0338397 | − | 0.464858i | ||||
\(197\) | −23.2300 | −1.65507 | −0.827536 | − | 0.561413i | \(-0.810258\pi\) | ||||
−0.827536 | + | 0.561413i | \(0.810258\pi\) | |||||||
\(198\) | 0.899944 | + | 0.613571i | 0.0639562 | + | 0.0436046i | ||||
\(199\) | 18.8257 | + | 17.4677i | 1.33452 | + | 1.23825i | 0.948893 | + | 0.315598i | \(0.102205\pi\) |
0.385627 | + | 0.922655i | \(0.373985\pi\) | |||||||
\(200\) | −4.47787 | − | 11.4094i | −0.316633 | − | 0.806768i | ||||
\(201\) | 1.32577 | − | 0.408946i | 0.0935126 | − | 0.0288448i | ||||
\(202\) | 3.22932 | + | 14.1486i | 0.227214 | + | 0.995489i | ||||
\(203\) | −13.2167 | + | 7.61188i | −0.927630 | + | 0.534249i | ||||
\(204\) | 2.69957 | − | 11.8276i | 0.189007 | − | 0.828096i | ||||
\(205\) | 2.43880 | + | 32.5436i | 0.170333 | + | 2.27294i | ||||
\(206\) | 16.5094 | + | 5.09247i | 1.15026 | + | 0.354809i | ||||
\(207\) | 0.231311 | − | 3.08663i | 0.0160772 | − | 0.214536i | ||||
\(208\) | −1.82502 | + | 4.65009i | −0.126543 | + | 0.322425i | ||||
\(209\) | −4.29681 | + | 2.06923i | −0.297216 | + | 0.143132i | ||||
\(210\) | −27.0954 | + | 10.6009i | −1.86976 | + | 0.731528i | ||||
\(211\) | −5.58313 | − | 2.68869i | −0.384359 | − | 0.185097i | 0.231719 | − | 0.972783i | \(-0.425565\pi\) |
−0.616078 | + | 0.787685i | \(0.711279\pi\) | |||||||
\(212\) | 2.38912 | − | 2.21678i | 0.164086 | − | 0.152249i | ||||
\(213\) | 20.5687 | − | 3.10023i | 1.40934 | − | 0.212424i | ||||
\(214\) | 2.10280 | − | 3.64216i | 0.143745 | − | 0.248973i | ||||
\(215\) | 0.171036 | + | 0.296243i | 0.0116646 | + | 0.0202036i | ||||
\(216\) | −5.29874 | − | 6.64441i | −0.360534 | − | 0.452095i | ||||
\(217\) | −6.90033 | − | 5.51487i | −0.468425 | − | 0.374374i | ||||
\(218\) | 6.01517 | − | 7.54278i | 0.407399 | − | 0.510862i | ||||
\(219\) | 1.64302 | + | 0.247646i | 0.111025 | + | 0.0167343i | ||||
\(220\) | 3.19737 | − | 2.17993i | 0.215567 | − | 0.146971i | ||||
\(221\) | 5.72799 | − | 3.90528i | 0.385306 | − | 0.262697i | ||||
\(222\) | −21.8929 | − | 3.29983i | −1.46936 | − | 0.221470i | ||||
\(223\) | 1.04790 | − | 1.31403i | 0.0701728 | − | 0.0879939i | −0.745506 | − | 0.666499i | \(-0.767792\pi\) |
0.815679 | + | 0.578505i | \(0.196364\pi\) | |||||||
\(224\) | −0.0138129 | + | 12.9560i | −0.000922911 | + | 0.865661i | ||||
\(225\) | 2.19071 | + | 2.74706i | 0.146047 | + | 0.183137i | ||||
\(226\) | 13.6792 | + | 23.6930i | 0.909925 | + | 1.57604i | ||||
\(227\) | 7.79474 | − | 13.5009i | 0.517355 | − | 0.896085i | −0.482442 | − | 0.875928i | \(-0.660250\pi\) |
0.999797 | − | 0.0201569i | \(-0.00641659\pi\) | |||||||
\(228\) | 6.80058 | − | 1.02502i | 0.450379 | − | 0.0678838i | ||||
\(229\) | −0.698121 | + | 0.647761i | −0.0461331 | + | 0.0428053i | −0.702902 | − | 0.711286i | \(-0.748113\pi\) |
0.656769 | + | 0.754092i | \(0.271923\pi\) | |||||||
\(230\) | −31.1660 | − | 15.0087i | −2.05502 | − | 0.989647i | ||||
\(231\) | 3.38994 | + | 4.98353i | 0.223041 | + | 0.327892i | ||||
\(232\) | 9.49687 | − | 4.57345i | 0.623500 | − | 0.300262i | ||||
\(233\) | −0.422622 | + | 1.07682i | −0.0276869 | + | 0.0705451i | −0.944049 | − | 0.329806i | \(-0.893017\pi\) |
0.916362 | + | 0.400351i | \(0.131112\pi\) | |||||||
\(234\) | 0.0670760 | − | 0.895066i | 0.00438489 | − | 0.0585123i | ||||
\(235\) | −21.3494 | − | 6.58542i | −1.39268 | − | 0.429585i | ||||
\(236\) | 0.653157 | + | 8.71577i | 0.0425169 | + | 0.567348i | ||||
\(237\) | 4.52923 | − | 19.8439i | 0.294205 | − | 1.28900i | ||||
\(238\) | 17.7204 | − | 25.9316i | 1.14864 | − | 1.68090i | ||||
\(239\) | 1.23893 | + | 5.42812i | 0.0801399 | + | 0.351116i | 0.999061 | − | 0.0433256i | \(-0.0137953\pi\) |
−0.918921 | + | 0.394441i | \(0.870938\pi\) | |||||||
\(240\) | 30.6559 | − | 9.45609i | 1.97883 | − | 0.610388i | ||||
\(241\) | −7.16895 | − | 18.2662i | −0.461793 | − | 1.17663i | −0.952292 | − | 0.305187i | \(-0.901281\pi\) |
0.490500 | − | 0.871441i | \(-0.336814\pi\) | |||||||
\(242\) | 11.9593 | + | 11.0966i | 0.768772 | + | 0.713316i | ||||
\(243\) | 4.45205 | + | 3.03536i | 0.285599 | + | 0.194718i | ||||
\(244\) | −6.43244 | −0.411795 | ||||||||
\(245\) | −23.9468 | − | 0.0510611i | −1.52991 | − | 0.00326218i | ||||
\(246\) | −30.6657 | −1.95518 | ||||||||
\(247\) | 3.24715 | + | 2.21387i | 0.206612 | + | 0.140865i | ||||
\(248\) | 4.47514 | + | 4.15232i | 0.284172 | + | 0.263673i | ||||
\(249\) | 5.27492 | + | 13.4403i | 0.334284 | + | 0.851743i | ||||
\(250\) | 9.53367 | − | 2.94075i | 0.602962 | − | 0.185989i | ||||
\(251\) | −1.68455 | − | 7.38050i | −0.106328 | − | 0.465853i | −0.999858 | − | 0.0168499i | \(-0.994636\pi\) |
0.893530 | − | 0.449003i | \(-0.148221\pi\) | |||||||
\(252\) | −0.379735 | − | 1.23575i | −0.0239211 | − | 0.0778447i | ||||
\(253\) | −1.59453 | + | 6.98611i | −0.100248 | + | 0.439213i | ||||
\(254\) | −1.05309 | − | 14.0525i | −0.0660767 | − | 0.881733i | ||||
\(255\) | −42.5442 | − | 13.1231i | −2.66422 | − | 0.821803i | ||||
\(256\) | 1.36511 | − | 18.2161i | 0.0853194 | − | 1.13851i | ||||
\(257\) | 0.683272 | − | 1.74095i | 0.0426213 | − | 0.108597i | −0.907978 | − | 0.419018i | \(-0.862375\pi\) |
0.950599 | + | 0.310420i | \(0.100470\pi\) | |||||||
\(258\) | −0.289601 | + | 0.139465i | −0.0180298 | + | 0.00868269i | ||||
\(259\) | −15.7714 | − | 9.12805i | −0.979986 | − | 0.567189i | ||||
\(260\) | −2.87315 | − | 1.38364i | −0.178185 | − | 0.0858096i | ||||
\(261\) | −2.21507 | + | 2.05528i | −0.137109 | + | 0.127219i | ||||
\(262\) | −6.82937 | + | 1.02936i | −0.421920 | + | 0.0635941i | ||||
\(263\) | −13.0526 | + | 22.6078i | −0.804859 | + | 1.39406i | 0.111527 | + | 0.993761i | \(0.464426\pi\) |
−0.916386 | + | 0.400296i | \(0.868907\pi\) | |||||||
\(264\) | −2.08273 | − | 3.60739i | −0.128183 | − | 0.222019i | ||||
\(265\) | −7.45738 | − | 9.35126i | −0.458103 | − | 0.574443i | ||||
\(266\) | 17.3543 | + | 3.98048i | 1.06406 | + | 0.244059i | ||||
\(267\) | −5.28174 | + | 6.62310i | −0.323237 | + | 0.405327i | ||||
\(268\) | 0.681233 | + | 0.102679i | 0.0416129 | + | 0.00627214i | ||||
\(269\) | −23.7681 | + | 16.2048i | −1.44917 | + | 0.988024i | −0.453877 | + | 0.891064i | \(0.649959\pi\) |
−0.995288 | + | 0.0969598i | \(0.969088\pi\) | |||||||
\(270\) | 22.4957 | − | 15.3373i | 1.36905 | − | 0.933401i | ||||
\(271\) | 20.0736 | + | 3.02561i | 1.21939 | + | 0.183793i | 0.727033 | − | 0.686602i | \(-0.240899\pi\) |
0.492354 | + | 0.870395i | \(0.336137\pi\) | |||||||
\(272\) | −21.5922 | + | 27.0757i | −1.30922 | + | 1.64171i | ||||
\(273\) | 2.15979 | − | 4.47264i | 0.130716 | − | 0.270697i | ||||
\(274\) | −3.82192 | − | 4.79253i | −0.230891 | − | 0.289528i | ||||
\(275\) | −4.06712 | − | 7.04445i | −0.245256 | − | 0.424797i | ||||
\(276\) | 5.16679 | − | 8.94915i | 0.311004 | − | 0.538675i | ||||
\(277\) | −22.0014 | + | 3.31618i | −1.32194 | + | 0.199250i | −0.771822 | − | 0.635839i | \(-0.780654\pi\) |
−0.550115 | + | 0.835089i | \(0.685416\pi\) | |||||||
\(278\) | 23.3516 | − | 21.6671i | 1.40053 | − | 1.29951i | ||||
\(279\) | −1.57675 | − | 0.759323i | −0.0943976 | − | 0.0454595i | ||||
\(280\) | 16.5023 | + | 1.25437i | 0.986200 | + | 0.0749629i | ||||
\(281\) | −14.1219 | + | 6.80074i | −0.842441 | + | 0.405698i | −0.804766 | − | 0.593592i | \(-0.797709\pi\) |
−0.0376749 | + | 0.999290i | \(0.511995\pi\) | |||||||
\(282\) | 7.66995 | − | 19.5427i | 0.456739 | − | 1.16375i | ||||
\(283\) | −1.09732 | + | 14.6427i | −0.0652288 | + | 0.870418i | 0.864608 | + | 0.502446i | \(0.167567\pi\) |
−0.929837 | + | 0.367971i | \(0.880052\pi\) | |||||||
\(284\) | 9.87000 | + | 3.04449i | 0.585677 | + | 0.180657i | ||||
\(285\) | −1.88614 | − | 25.1687i | −0.111725 | − | 1.49087i | ||||
\(286\) | −0.462386 | + | 2.02584i | −0.0273414 | + | 0.119791i | ||||
\(287\) | −23.4848 | − | 9.24603i | −1.38627 | − | 0.545776i | ||||
\(288\) | 0.571177 | + | 2.50249i | 0.0336569 | + | 0.147461i | ||||
\(289\) | 29.6811 | − | 9.15540i | 1.74595 | − | 0.538553i | ||||
\(290\) | 12.3373 | + | 31.4350i | 0.724472 | + | 1.84592i | ||||
\(291\) | 21.9208 | + | 20.3395i | 1.28502 | + | 1.19232i | ||||
\(292\) | 0.681704 | + | 0.464778i | 0.0398937 | + | 0.0271991i | ||||
\(293\) | 22.2324 | 1.29883 | 0.649415 | − | 0.760434i | \(-0.275014\pi\) | ||||
0.649415 | + | 0.760434i | \(0.275014\pi\) | |||||||
\(294\) | 1.72942 | − | 22.4355i | 0.100862 | − | 1.30846i | ||||
\(295\) | 32.0756 | 1.86752 | ||||||||
\(296\) | 10.4054 | + | 7.09427i | 0.604801 | + | 0.412346i | ||||
\(297\) | −4.13449 | − | 3.83625i | −0.239907 | − | 0.222602i | ||||
\(298\) | 6.84339 | + | 17.4367i | 0.396427 | + | 1.01008i | ||||
\(299\) | 5.64272 | − | 1.74055i | 0.326327 | − | 0.100658i | ||||
\(300\) | 2.61021 | + | 11.4361i | 0.150701 | + | 0.660263i | ||||
\(301\) | −0.263836 | + | 0.0194889i | −0.0152073 | + | 0.00112332i | ||||
\(302\) | 3.29369 | − | 14.4306i | 0.189531 | − | 0.830388i | ||||
\(303\) | 1.18896 | + | 15.8656i | 0.0683042 | + | 0.911457i | ||||
\(304\) | −18.7599 | − | 5.78668i | −1.07596 | − | 0.331889i | ||||
\(305\) | −1.76411 | + | 23.5404i | −0.101012 | + | 1.34792i | ||||
\(306\) | 2.27335 | − | 5.79240i | 0.129959 | − | 0.331130i | ||||
\(307\) | −22.4220 | + | 10.7979i | −1.27969 | + | 0.616268i | −0.945311 | − | 0.326170i | \(-0.894242\pi\) |
−0.334382 | + | 0.942438i | \(0.608527\pi\) | |||||||
\(308\) | 0.442906 | + | 2.95990i | 0.0252369 | + | 0.168656i | ||||
\(309\) | 17.0652 | + | 8.21815i | 0.970803 | + | 0.467514i | ||||
\(310\) | −14.3370 | + | 13.3028i | −0.814286 | + | 0.755547i | ||||
\(311\) | −2.20390 | + | 0.332185i | −0.124972 | + | 0.0188365i | −0.211230 | − | 0.977436i | \(-0.567747\pi\) |
0.0862584 | + | 0.996273i | \(0.472509\pi\) | |||||||
\(312\) | −1.71630 | + | 2.97272i | −0.0971664 | + | 0.168297i | ||||
\(313\) | 7.11812 | + | 12.3289i | 0.402340 | + | 0.696873i | 0.994008 | − | 0.109309i | \(-0.0348637\pi\) |
−0.591668 | + | 0.806182i | \(0.701530\pi\) | |||||||
\(314\) | −0.815294 | − | 1.02235i | −0.0460097 | − | 0.0576943i | ||||
\(315\) | −4.62652 | + | 1.05078i | −0.260675 | + | 0.0592050i | ||||
\(316\) | 6.30162 | − | 7.90199i | 0.354494 | − | 0.444521i | ||||
\(317\) | −22.5664 | − | 3.40134i | −1.26746 | − | 0.191038i | −0.519319 | − | 0.854581i | \(-0.673814\pi\) |
−0.748139 | + | 0.663542i | \(0.769052\pi\) | |||||||
\(318\) | 9.28614 | − | 6.33118i | 0.520741 | − | 0.355035i | ||||
\(319\) | 5.77990 | − | 3.94067i | 0.323612 | − | 0.220635i | ||||
\(320\) | −5.43106 | − | 0.818601i | −0.303606 | − | 0.0457612i | ||||
\(321\) | 2.87469 | − | 3.60475i | 0.160450 | − | 0.201198i | ||||
\(322\) | 20.9339 | − | 16.6578i | 1.16660 | − | 0.928301i | ||||
\(323\) | 16.9873 | + | 21.3013i | 0.945196 | + | 1.18524i | ||||
\(324\) | 4.79966 | + | 8.31326i | 0.266648 | + | 0.461848i | ||||
\(325\) | −3.35157 | + | 5.80509i | −0.185912 | + | 0.322008i | ||||
\(326\) | 20.7006 | − | 3.12011i | 1.14650 | − | 0.172807i | ||||
\(327\) | 7.75330 | − | 7.19402i | 0.428759 | − | 0.397830i | ||||
\(328\) | 15.7157 | + | 7.56829i | 0.867756 | + | 0.417889i | ||||
\(329\) | 11.7662 | − | 12.6539i | 0.648693 | − | 0.697632i | ||||
\(330\) | 12.0233 | − | 5.79011i | 0.661860 | − | 0.318735i | ||||
\(331\) | −8.17133 | + | 20.8202i | −0.449137 | + | 1.14438i | 0.509682 | + | 0.860363i | \(0.329763\pi\) |
−0.958819 | + | 0.284019i | \(0.908332\pi\) | |||||||
\(332\) | −0.535774 | + | 7.14941i | −0.0294044 | + | 0.392375i | ||||
\(333\) | −3.44983 | − | 1.06413i | −0.189050 | − | 0.0583141i | ||||
\(334\) | −0.145596 | − | 1.94285i | −0.00796668 | − | 0.106308i | ||||
\(335\) | 0.562598 | − | 2.46490i | 0.0307380 | − | 0.134672i | ||||
\(336\) | −3.72407 | + | 24.5301i | −0.203165 | + | 1.33823i | ||||
\(337\) | −1.92800 | − | 8.44712i | −0.105025 | − | 0.460144i | −0.999904 | − | 0.0138361i | \(-0.995596\pi\) |
0.894879 | − | 0.446308i | \(-0.147261\pi\) | |||||||
\(338\) | 1.63628 | − | 0.504727i | 0.0890021 | − | 0.0274535i | ||||
\(339\) | 10.9578 | + | 27.9199i | 0.595144 | + | 1.51640i | ||||
\(340\) | −16.2062 | − | 15.0371i | −0.878903 | − | 0.815502i | ||||
\(341\) | 3.34750 | + | 2.28229i | 0.181278 | + | 0.123593i | ||||
\(342\) | 3.52751 | 0.190746 | ||||||||
\(343\) | 8.08897 | − | 16.6604i | 0.436763 | − | 0.899577i | ||||
\(344\) | 0.182836 | 0.00985785 | ||||||||
\(345\) | −31.3336 | − | 21.3629i | −1.68694 | − | 1.15014i | ||||
\(346\) | −27.2497 | − | 25.2840i | −1.46495 | − | 1.35928i | ||||
\(347\) | 6.74093 | + | 17.1756i | 0.361872 | + | 0.922035i | 0.989632 | + | 0.143628i | \(0.0458768\pi\) |
−0.627760 | + | 0.778407i | \(0.716028\pi\) | |||||||
\(348\) | −9.63976 | + | 2.97347i | −0.516746 | + | 0.159395i | ||||
\(349\) | 5.44407 | + | 23.8520i | 0.291414 | + | 1.27677i | 0.882558 | + | 0.470203i | \(0.155819\pi\) |
−0.591144 | + | 0.806566i | \(0.701323\pi\) | |||||||
\(350\) | −4.55819 | + | 30.0244i | −0.243646 | + | 1.60487i | ||||
\(351\) | −1.03424 | + | 4.53128i | −0.0552034 | + | 0.241862i | ||||
\(352\) | −0.444076 | − | 5.92578i | −0.0236693 | − | 0.315845i | ||||
\(353\) | −22.1603 | − | 6.83556i | −1.17948 | − | 0.363820i | −0.357812 | − | 0.933794i | \(-0.616477\pi\) |
−0.821663 | + | 0.569974i | \(0.806953\pi\) | |||||||
\(354\) | −2.25239 | + | 30.0560i | −0.119713 | + | 1.59746i | ||||
\(355\) | 13.8486 | − | 35.2856i | 0.735006 | − | 1.87277i | ||||
\(356\) | −3.78989 | + | 1.82512i | −0.200864 | + | 0.0967309i | ||||
\(357\) | 23.4473 | − | 25.2162i | 1.24096 | − | 1.33458i | ||||
\(358\) | −6.85792 | − | 3.30260i | −0.362453 | − | 0.174548i | ||||
\(359\) | −10.8687 | + | 10.0847i | −0.573629 | + | 0.532250i | −0.912764 | − | 0.408488i | \(-0.866056\pi\) |
0.339135 | + | 0.940738i | \(0.389866\pi\) | |||||||
\(360\) | 3.24223 | − | 0.488688i | 0.170881 | − | 0.0257561i | ||||
\(361\) | 1.77738 | − | 3.07851i | 0.0935461 | − | 0.162027i | ||||
\(362\) | 19.9530 | + | 34.5597i | 1.04871 | + | 1.81642i | ||||
\(363\) | 11.1515 | + | 13.9836i | 0.585303 | + | 0.733946i | ||||
\(364\) | 1.92987 | − | 1.53566i | 0.101153 | − | 0.0804904i | ||||
\(365\) | 1.88787 | − | 2.36732i | 0.0988159 | − | 0.123911i | ||||
\(366\) | −21.9343 | − | 3.30606i | −1.14652 | − | 0.172811i | ||||
\(367\) | −16.5135 | + | 11.2587i | −0.861998 | + | 0.587700i | −0.911604 | − | 0.411069i | \(-0.865156\pi\) |
0.0496064 | + | 0.998769i | \(0.484203\pi\) | |||||||
\(368\) | −24.3725 | + | 16.6169i | −1.27051 | + | 0.866216i | ||||
\(369\) | −4.94457 | − | 0.745273i | −0.257404 | − | 0.0387974i | ||||
\(370\) | −25.1555 | + | 31.5440i | −1.30777 | + | 1.63990i | ||||
\(371\) | 9.02054 | − | 2.04876i | 0.468323 | − | 0.106367i | ||||
\(372\) | −3.64278 | − | 4.56790i | −0.188869 | − | 0.236835i | ||||
\(373\) | 3.05315 | + | 5.28821i | 0.158086 | + | 0.273813i | 0.934179 | − | 0.356806i | \(-0.116134\pi\) |
−0.776092 | + | 0.630619i | \(0.782801\pi\) | |||||||
\(374\) | −7.20278 | + | 12.4756i | −0.372447 | + | 0.645097i | ||||
\(375\) | 10.8156 | − | 1.63020i | 0.558517 | − | 0.0841829i | ||||
\(376\) | −8.75387 | + | 8.12240i | −0.451446 | + | 0.418881i | ||||
\(377\) | −5.19381 | − | 2.50121i | −0.267495 | − | 0.128819i | ||||
\(378\) | 3.11616 | + | 20.8250i | 0.160278 | + | 1.07112i | ||||
\(379\) | −16.0623 | + | 7.73521i | −0.825067 | + | 0.397331i | −0.798263 | − | 0.602309i | \(-0.794247\pi\) |
−0.0268042 | + | 0.999641i | \(0.508533\pi\) | |||||||
\(380\) | 4.57873 | − | 11.6664i | 0.234884 | − | 0.598474i | ||||
\(381\) | 1.15451 | − | 15.4059i | 0.0591475 | − | 0.789269i | ||||
\(382\) | 17.9854 | + | 5.54776i | 0.920214 | + | 0.283848i | ||||
\(383\) | −0.829980 | − | 11.0753i | −0.0424100 | − | 0.565922i | −0.977421 | − | 0.211303i | \(-0.932229\pi\) |
0.935011 | − | 0.354619i | \(-0.115390\pi\) | |||||||
\(384\) | 5.23966 | − | 22.9564i | 0.267385 | − | 1.17149i | ||||
\(385\) | 10.9536 | − | 0.809116i | 0.558247 | − | 0.0412364i | ||||
\(386\) | −8.36919 | − | 36.6678i | −0.425980 | − | 1.86634i | ||||
\(387\) | −0.0500849 | + | 0.0154492i | −0.00254596 | + | 0.000785324i | ||||
\(388\) | 5.42487 | + | 13.8223i | 0.275406 | + | 0.701723i | ||||
\(389\) | −5.63120 | − | 5.22499i | −0.285513 | − | 0.264918i | 0.524394 | − | 0.851476i | \(-0.324292\pi\) |
−0.809907 | + | 0.586558i | \(0.800483\pi\) | |||||||
\(390\) | −9.08616 | − | 6.19484i | −0.460096 | − | 0.313688i | ||||
\(391\) | 40.9375 | 2.07030 | ||||||||
\(392\) | −6.42337 | + | 11.0710i | −0.324429 | + | 0.559171i | ||||
\(393\) | −7.57168 | −0.381941 | ||||||||
\(394\) | −32.8663 | − | 22.4078i | −1.65578 | − | 1.12889i | ||||
\(395\) | −27.1901 | − | 25.2287i | −1.36808 | − | 1.26940i | ||||
\(396\) | 0.216626 | + | 0.551955i | 0.0108859 | + | 0.0277368i | ||||
\(397\) | −1.98751 | + | 0.613067i | −0.0997505 | + | 0.0307690i | −0.344229 | − | 0.938886i | \(-0.611860\pi\) |
0.244478 | + | 0.969655i | \(0.421383\pi\) | |||||||
\(398\) | 9.78549 | + | 42.8730i | 0.490502 | + | 2.14903i | ||||
\(399\) | 18.1628 | + | 7.15075i | 0.909280 | + | 0.357985i | ||||
\(400\) | 7.45108 | − | 32.6453i | 0.372554 | − | 1.63227i | ||||
\(401\) | −2.08653 | − | 27.8429i | −0.104197 | − | 1.39041i | −0.767017 | − | 0.641627i | \(-0.778260\pi\) |
0.662820 | − | 0.748779i | \(-0.269359\pi\) | |||||||
\(402\) | 2.27020 | + | 0.700263i | 0.113227 | + | 0.0349259i | ||||
\(403\) | 0.249501 | − | 3.32936i | 0.0124285 | − | 0.165847i | ||||
\(404\) | −2.88630 | + | 7.35416i | −0.143599 | + | 0.365883i | ||||
\(405\) | 31.7398 | − | 15.2851i | 1.57716 | − | 0.759521i | ||||
\(406\) | −26.0417 | − | 1.97948i | −1.29243 | − | 0.0982398i | ||||
\(407\) | 7.53019 | + | 3.62635i | 0.373258 | + | 0.179752i | ||||
\(408\) | −17.4443 | + | 16.1860i | −0.863624 | + | 0.801326i | ||||
\(409\) | −13.3993 | + | 2.01963i | −0.662555 | + | 0.0998641i | −0.471707 | − | 0.881755i | \(-0.656362\pi\) |
−0.190848 | + | 0.981620i | \(0.561124\pi\) | |||||||
\(410\) | −27.9413 | + | 48.3957i | −1.37992 | + | 2.39009i | ||||
\(411\) | −3.36013 | − | 5.81991i | −0.165743 | − | 0.287075i | ||||
\(412\) | 5.86407 | + | 7.35331i | 0.288902 | + | 0.362272i | ||||
\(413\) | −10.7871 | + | 22.3388i | −0.530801 | + | 1.09922i | ||||
\(414\) | 3.30465 | − | 4.14390i | 0.162415 | − | 0.203661i | ||||
\(415\) | 26.0173 | + | 3.92147i | 1.27714 | + | 0.192497i | ||||
\(416\) | −4.04603 | + | 2.75854i | −0.198373 | + | 0.135248i | ||||
\(417\) | 28.8550 | − | 19.6730i | 1.41303 | − | 0.963391i | ||||
\(418\) | −8.07519 | − | 1.21714i | −0.394971 | − | 0.0595322i | ||||
\(419\) | 13.5134 | − | 16.9452i | 0.660171 | − | 0.827828i | −0.333191 | − | 0.942859i | \(-0.608125\pi\) |
0.993362 | + | 0.115031i | \(0.0366969\pi\) | |||||||
\(420\) | −15.4381 | − | 3.54096i | −0.753301 | − | 0.172781i | ||||
\(421\) | 4.59052 | + | 5.75633i | 0.223728 | + | 0.280546i | 0.881009 | − | 0.473099i | \(-0.156865\pi\) |
−0.657281 | + | 0.753646i | \(0.728293\pi\) | |||||||
\(422\) | −5.30558 | − | 9.18954i | −0.258272 | − | 0.447340i | ||||
\(423\) | 1.71166 | − | 2.96468i | 0.0832236 | − | 0.144148i | ||||
\(424\) | −6.32153 | + | 0.952818i | −0.307001 | + | 0.0462729i | ||||
\(425\) | −34.0651 | + | 31.6078i | −1.65240 | + | 1.53320i | ||||
\(426\) | 32.0914 | + | 15.4544i | 1.55484 | + | 0.748769i | ||||
\(427\) | −15.8012 | − | 9.14530i | −0.764674 | − | 0.442572i | ||||
\(428\) | 2.06272 | − | 0.993356i | 0.0997056 | − | 0.0480157i | ||||
\(429\) | −0.832273 | + | 2.12060i | −0.0401825 | + | 0.102383i | ||||
\(430\) | −0.0437732 | + | 0.584113i | −0.00211093 | + | 0.0281684i | ||||
\(431\) | −28.4244 | − | 8.76775i | −1.36915 | − | 0.422328i | −0.478930 | − | 0.877853i | \(-0.658975\pi\) |
−0.890223 | + | 0.455525i | \(0.849452\pi\) | |||||||
\(432\) | −1.73506 | − | 23.1528i | −0.0834781 | − | 1.11394i | ||||
\(433\) | −7.61234 | + | 33.3519i | −0.365826 | + | 1.60279i | 0.372291 | + | 0.928116i | \(0.378572\pi\) |
−0.738117 | + | 0.674672i | \(0.764285\pi\) | |||||||
\(434\) | −4.44302 | − | 14.4586i | −0.213272 | − | 0.694037i | ||||
\(435\) | 8.23810 | + | 36.0935i | 0.394986 | + | 1.73055i | ||||
\(436\) | 5.01863 | − | 1.54804i | 0.240349 | − | 0.0741378i | ||||
\(437\) | 8.47853 | + | 21.6029i | 0.405583 | + | 1.03341i | ||||
\(438\) | 2.08570 | + | 1.93524i | 0.0996584 | + | 0.0924695i | ||||
\(439\) | 24.8181 | + | 16.9207i | 1.18450 | + | 0.807580i | 0.985040 | − | 0.172325i | \(-0.0551279\pi\) |
0.199463 | + | 0.979905i | \(0.436080\pi\) | |||||||
\(440\) | −7.59074 | −0.361875 | ||||||||
\(441\) | 0.824105 | − | 3.57548i | 0.0392431 | − | 0.170261i | ||||
\(442\) | 11.8711 | 0.564651 | ||||||||
\(443\) | 11.2527 | + | 7.67195i | 0.534631 | + | 0.364505i | 0.800339 | − | 0.599548i | \(-0.204653\pi\) |
−0.265707 | + | 0.964054i | \(0.585605\pi\) | |||||||
\(444\) | −8.83526 | − | 8.19792i | −0.419303 | − | 0.389056i | ||||
\(445\) | 5.63987 | + | 14.3701i | 0.267355 | + | 0.681210i | ||||
\(446\) | 2.75011 | − | 0.848297i | 0.130222 | − | 0.0401680i | ||||
\(447\) | 4.56959 | + | 20.0207i | 0.216134 | + | 0.946946i | ||||
\(448\) | 2.39659 | − | 3.50712i | 0.113228 | − | 0.165696i | ||||
\(449\) | 3.18009 | − | 13.9329i | 0.150077 | − | 0.657532i | −0.842783 | − | 0.538253i | \(-0.819084\pi\) |
0.992861 | − | 0.119279i | \(-0.0380584\pi\) | |||||||
\(450\) | 0.449620 | + | 5.99976i | 0.0211953 | + | 0.282831i | ||||
\(451\) | 11.0620 | + | 3.41216i | 0.520887 | + | 0.160672i | ||||
\(452\) | −1.11298 | + | 14.8517i | −0.0523503 | + | 0.698566i | ||||
\(453\) | 5.92849 | − | 15.1055i | 0.278545 | − | 0.709720i | ||||
\(454\) | 24.0512 | − | 11.5824i | 1.12878 | − | 0.543591i | ||||
\(455\) | −5.09068 | − | 7.48378i | −0.238655 | − | 0.350845i | ||||
\(456\) | −12.1543 | − | 5.85321i | −0.569178 | − | 0.274102i | ||||
\(457\) | 18.1567 | − | 16.8470i | 0.849337 | − | 0.788069i | −0.129743 | − | 0.991548i | \(-0.541415\pi\) |
0.979079 | + | 0.203478i | \(0.0652246\pi\) | |||||||
\(458\) | −1.61255 | + | 0.243053i | −0.0753495 | + | 0.0113571i | ||||
\(459\) | −16.1107 | + | 27.9046i | −0.751984 | + | 1.30248i | ||||
\(460\) | −9.41550 | − | 16.3081i | −0.439000 | − | 0.760371i | ||||
\(461\) | 23.5577 | + | 29.5404i | 1.09719 | + | 1.37584i | 0.920119 | + | 0.391638i | \(0.128091\pi\) |
0.177073 | + | 0.984198i | \(0.443337\pi\) | |||||||
\(462\) | −0.0110033 | + | 10.3207i | −0.000511920 | + | 0.480164i | ||||
\(463\) | 9.95886 | − | 12.4880i | 0.462827 | − | 0.580367i | −0.494571 | − | 0.869137i | \(-0.664675\pi\) |
0.957399 | + | 0.288770i | \(0.0932463\pi\) | |||||||
\(464\) | 28.4753 | + | 4.29196i | 1.32193 | + | 0.199249i | ||||
\(465\) | −17.7159 | + | 12.0785i | −0.821554 | + | 0.560126i | ||||
\(466\) | −1.63664 | + | 1.11585i | −0.0758161 | + | 0.0516905i | ||||
\(467\) | −11.5257 | − | 1.73722i | −0.533345 | − | 0.0803888i | −0.123152 | − | 0.992388i | \(-0.539300\pi\) |
−0.410192 | + | 0.911999i | \(0.634538\pi\) | |||||||
\(468\) | 0.304652 | − | 0.382021i | 0.0140825 | − | 0.0176589i | ||||
\(469\) | 1.52745 | + | 1.22077i | 0.0705313 | + | 0.0563700i | ||||
\(470\) | −23.8532 | − | 29.9109i | −1.10026 | − | 1.37969i | ||||
\(471\) | −0.716785 | − | 1.24151i | −0.0330277 | − | 0.0572056i | ||||
\(472\) | 8.57213 | − | 14.8474i | 0.394564 | − | 0.683405i | ||||
\(473\) | 0.119985 | − | 0.0180848i | 0.00551692 | − | 0.000831542i | ||||
\(474\) | 25.5496 | − | 23.7065i | 1.17353 | − | 1.08888i | ||||
\(475\) | −23.7348 | − | 11.4301i | −1.08903 | − | 0.524448i | ||||
\(476\) | 15.9227 | − | 6.22960i | 0.729814 | − | 0.285533i | ||||
\(477\) | 1.65117 | − | 0.795162i | 0.0756019 | − | 0.0364080i | ||||
\(478\) | −3.48313 | + | 8.87488i | −0.159315 | + | 0.405928i | ||||
\(479\) | 0.571326 | − | 7.62381i | 0.0261045 | − | 0.348341i | −0.968824 | − | 0.247752i | \(-0.920308\pi\) |
0.994928 | − | 0.100589i | \(-0.0320727\pi\) | |||||||
\(480\) | 30.0516 | + | 9.26968i | 1.37166 | + | 0.423101i | ||||
\(481\) | −0.514699 | − | 6.86818i | −0.0234683 | − | 0.313162i | ||||
\(482\) | 7.47692 | − | 32.7585i | 0.340565 | − | 1.49211i | ||||
\(483\) | 25.4156 | − | 14.6376i | 1.15645 | − | 0.666033i | ||||
\(484\) | 1.97626 | + | 8.65857i | 0.0898301 | + | 0.393571i | ||||
\(485\) | 52.0725 | − | 16.0622i | 2.36449 | − | 0.729348i | ||||
\(486\) | 3.37092 | + | 8.58896i | 0.152908 | + | 0.389603i | ||||
\(487\) | −18.3455 | − | 17.0221i | −0.831313 | − | 0.771345i | 0.144604 | − | 0.989490i | \(-0.453809\pi\) |
−0.975917 | + | 0.218144i | \(0.930000\pi\) | |||||||
\(488\) | 10.4251 | + | 7.10768i | 0.471920 | + | 0.321750i | ||||
\(489\) | 22.9506 | 1.03786 | ||||||||
\(490\) | −33.8312 | − | 23.1715i | −1.52834 | − | 1.04678i | ||||
\(491\) | 18.7333 | 0.845424 | 0.422712 | − | 0.906264i | \(-0.361078\pi\) | ||||
0.422712 | + | 0.906264i | \(0.361078\pi\) | |||||||
\(492\) | −13.7931 | − | 9.40398i | −0.621841 | − | 0.423964i | ||||
\(493\) | −29.2959 | − | 27.1826i | −1.31942 | − | 1.22424i | ||||
\(494\) | 2.45862 | + | 6.26445i | 0.110618 | + | 0.281851i | ||||
\(495\) | 2.07936 | − | 0.641398i | 0.0934603 | − | 0.0288287i | ||||
\(496\) | 3.71123 | + | 16.2600i | 0.166639 | + | 0.730094i | ||||
\(497\) | 19.9170 | + | 21.5114i | 0.893400 | + | 0.964918i | ||||
\(498\) | −5.50153 | + | 24.1038i | −0.246529 | + | 1.08012i | ||||
\(499\) | −2.46853 | − | 32.9402i | −0.110507 | − | 1.47461i | −0.726669 | − | 0.686988i | \(-0.758933\pi\) |
0.616162 | − | 0.787619i | \(-0.288687\pi\) | |||||||
\(500\) | 5.18995 | + | 1.60089i | 0.232102 | + | 0.0715938i | ||||
\(501\) | 0.159619 | − | 2.12997i | 0.00713125 | − | 0.0951599i | ||||
\(502\) | 4.73595 | − | 12.0670i | 0.211376 | − | 0.538577i | ||||
\(503\) | 24.5587 | − | 11.8268i | 1.09502 | − | 0.527333i | 0.202930 | − | 0.979193i | \(-0.434954\pi\) |
0.892089 | + | 0.451860i | \(0.149239\pi\) | |||||||
\(504\) | −0.750032 | + | 2.42237i | −0.0334091 | + | 0.107901i | ||||
\(505\) | 26.1220 | + | 12.5797i | 1.16241 | + | 0.559788i | ||||
\(506\) | −8.99482 | + | 8.34598i | −0.399869 | + | 0.371024i | ||||
\(507\) | 1.85631 | − | 0.279794i | 0.0824417 | − | 0.0124261i | ||||
\(508\) | 3.83568 | − | 6.64360i | 0.170181 | − | 0.294762i | ||||
\(509\) | −17.9058 | − | 31.0138i | −0.793662 | − | 1.37466i | −0.923686 | − | 0.383151i | \(-0.874839\pi\) |
0.130024 | − | 0.991511i | \(-0.458495\pi\) | |||||||
\(510\) | −47.5336 | − | 59.6053i | −2.10482 | − | 2.63937i | ||||
\(511\) | 1.01380 | + | 2.11093i | 0.0448479 | + | 0.0933821i | ||||
\(512\) | 3.86185 | − | 4.84260i | 0.170671 | − | 0.214015i | ||||
\(513\) | −18.0621 | − | 2.72242i | −0.797461 | − | 0.120198i | ||||
\(514\) | 2.64604 | − | 1.80404i | 0.116712 | − | 0.0795726i | ||||
\(515\) | 28.5186 | − | 19.4437i | 1.25668 | − | 0.856791i | ||||
\(516\) | −0.173028 | − | 0.0260797i | −0.00761712 | − | 0.00114810i | ||||
\(517\) | −4.94127 | + | 6.19615i | −0.217317 | + | 0.272507i | ||||
\(518\) | −13.5087 | − | 28.1277i | −0.593537 | − | 1.23586i | ||||
\(519\) | −25.4092 | − | 31.8621i | −1.11534 | − | 1.39859i | ||||
\(520\) | 3.12763 | + | 5.41722i | 0.137156 | + | 0.237561i | ||||
\(521\) | 13.4816 | − | 23.3508i | 0.590639 | − | 1.02302i | −0.403508 | − | 0.914976i | \(-0.632209\pi\) |
0.994147 | − | 0.108040i | \(-0.0344576\pi\) | |||||||
\(522\) | −5.11646 | + | 0.771182i | −0.223941 | + | 0.0337537i | ||||
\(523\) | −32.1885 | + | 29.8666i | −1.40751 | + | 1.30597i | −0.513379 | + | 0.858162i | \(0.671606\pi\) |
−0.894127 | + | 0.447813i | \(0.852203\pi\) | |||||||
\(524\) | −3.38744 | − | 1.63130i | −0.147981 | − | 0.0712638i | ||||
\(525\) | −9.84727 | + | 31.8036i | −0.429770 | + | 1.38802i | ||||
\(526\) | −40.2747 | + | 19.3953i | −1.75606 | + | 0.845675i | ||||
\(527\) | 8.45614 | − | 21.5459i | 0.368355 | − | 0.938554i | ||||
\(528\) | 0.850419 | − | 11.3481i | 0.0370097 | − | 0.493861i | ||||
\(529\) | 11.3424 | + | 3.49868i | 0.493149 | + | 0.152116i | ||||
\(530\) | −1.53055 | − | 20.4238i | −0.0664828 | − | 0.887152i | ||||
\(531\) | −1.09363 | + | 4.79151i | −0.0474596 | + | 0.207934i | ||||
\(532\) | 6.58512 | + | 7.11227i | 0.285501 | + | 0.308356i | ||||
\(533\) | −2.12276 | − | 9.30042i | −0.0919469 | − | 0.402846i | ||||
\(534\) | −13.8614 | + | 4.27567i | −0.599841 | + | 0.185026i | ||||
\(535\) | −3.06961 | − | 7.82124i | −0.132711 | − | 0.338142i | ||||
\(536\) | −0.990616 | − | 0.919157i | −0.0427881 | − | 0.0397015i | ||||
\(537\) | −6.89481 | − | 4.70080i | −0.297533 | − | 0.202854i | ||||
\(538\) | −49.2588 | −2.12370 | ||||||||
\(539\) | −3.12023 | + | 7.90065i | −0.134398 | + | 0.340305i | ||||
\(540\) | 14.8217 | 0.637824 | ||||||||
\(541\) | 28.3543 | + | 19.3316i | 1.21905 | + | 0.831132i | 0.989832 | − | 0.142243i | \(-0.0454315\pi\) |
0.229216 | + | 0.973376i | \(0.426384\pi\) | |||||||
\(542\) | 25.4820 | + | 23.6439i | 1.09455 | + | 1.01559i | ||||
\(543\) | 15.9835 | + | 40.7252i | 0.685917 | + | 1.74769i | ||||
\(544\) | −32.4402 | + | 10.0065i | −1.39086 | + | 0.429024i | ||||
\(545\) | −4.28890 | − | 18.7909i | −0.183716 | − | 0.804913i | ||||
\(546\) | 7.37005 | − | 4.24463i | 0.315409 | − | 0.181653i | ||||
\(547\) | −7.15595 | + | 31.3523i | −0.305966 | + | 1.34053i | 0.554995 | + | 0.831854i | \(0.312720\pi\) |
−0.860961 | + | 0.508671i | \(0.830137\pi\) | |||||||
\(548\) | −0.249374 | − | 3.32766i | −0.0106527 | − | 0.142151i | ||||
\(549\) | −3.45635 | − | 1.06614i | −0.147514 | − | 0.0455019i | ||||
\(550\) | 1.04090 | − | 13.8898i | 0.0443839 | − | 0.592263i | ||||
\(551\) | 8.27698 | − | 21.0894i | 0.352611 | − | 0.898439i | ||||
\(552\) | −18.2624 | + | 8.79471i | −0.777299 | + | 0.374328i | ||||
\(553\) | 26.7145 | − | 10.4518i | 1.13601 | − | 0.444456i | ||||
\(554\) | −34.3268 | − | 16.5309i | −1.45841 | − | 0.702332i | ||||
\(555\) | −32.4244 | + | 30.0855i | −1.37634 | + | 1.27706i | ||||
\(556\) | 17.1477 | − | 2.58460i | 0.727225 | − | 0.109612i | ||||
\(557\) | 14.7602 | − | 25.5654i | 0.625409 | − | 1.08324i | −0.363052 | − | 0.931769i | \(-0.618265\pi\) |
0.988462 | − | 0.151472i | \(-0.0484013\pi\) | |||||||
\(558\) | −1.49837 | − | 2.59525i | −0.0634310 | − | 0.109866i | ||||
\(559\) | −0.0623442 | − | 0.0781772i | −0.00263688 | − | 0.00330654i | ||||
\(560\) | 35.3195 | + | 28.2280i | 1.49252 | + | 1.19285i | ||||
\(561\) | −9.84675 | + | 12.3474i | −0.415730 | + | 0.521309i | ||||
\(562\) | −26.5399 | − | 4.00025i | −1.11952 | − | 0.168740i | ||||
\(563\) | −9.53880 | + | 6.50344i | −0.402013 | + | 0.274088i | −0.747402 | − | 0.664372i | \(-0.768699\pi\) |
0.345390 | + | 0.938459i | \(0.387747\pi\) | |||||||
\(564\) | 9.44284 | − | 6.43802i | 0.397615 | − | 0.271090i | ||||
\(565\) | 54.0466 | + | 8.14621i | 2.27376 | + | 0.342714i | ||||
\(566\) | −15.6769 | + | 19.6583i | −0.658951 | + | 0.826299i | ||||
\(567\) | −0.0290472 | + | 27.2453i | −0.00121987 | + | 1.14420i | ||||
\(568\) | −12.6322 | − | 15.8403i | −0.530036 | − | 0.664644i | ||||
\(569\) | 1.61671 | + | 2.80023i | 0.0677761 | + | 0.117392i | 0.897922 | − | 0.440154i | \(-0.145076\pi\) |
−0.830146 | + | 0.557546i | \(0.811743\pi\) | |||||||
\(570\) | 21.6094 | − | 37.4285i | 0.905117 | − | 1.56771i | ||||
\(571\) | 36.5949 | − | 5.51579i | 1.53145 | − | 0.230829i | 0.671420 | − | 0.741077i | \(-0.265685\pi\) |
0.860027 | + | 0.510248i | \(0.170446\pi\) | |||||||
\(572\) | −0.829222 | + | 0.769406i | −0.0346715 | + | 0.0321705i | ||||
\(573\) | 18.5909 | + | 8.95290i | 0.776645 | + | 0.374013i | ||||
\(574\) | −24.3080 | − | 35.7351i | −1.01460 | − | 1.49155i | ||||
\(575\) | −35.6626 | + | 17.1742i | −1.48723 | + | 0.716213i | ||||
\(576\) | 0.307459 | − | 0.783392i | 0.0128108 | − | 0.0326413i | ||||
\(577\) | 0.608334 | − | 8.11766i | 0.0253253 | − | 0.337942i | −0.970121 | − | 0.242621i | \(-0.921993\pi\) |
0.995447 | − | 0.0953218i | \(-0.0303880\pi\) | |||||||
\(578\) | 50.8247 | + | 15.6773i | 2.11403 | + | 0.652091i | ||||
\(579\) | −3.08135 | − | 41.1178i | −0.128057 | − | 1.70880i | ||||
\(580\) | −4.09068 | + | 17.9225i | −0.169856 | + | 0.744190i | ||||
\(581\) | −11.4808 | + | 16.8007i | −0.476303 | + | 0.697010i | ||||
\(582\) | 11.3943 | + | 49.9217i | 0.472309 | + | 2.06932i | ||||
\(583\) | −4.05423 | + | 1.25056i | −0.167909 | + | 0.0517930i | ||||
\(584\) | −0.591270 | − | 1.50653i | −0.0244669 | − | 0.0623407i | ||||
\(585\) | −1.31451 | − | 1.21968i | −0.0543481 | − | 0.0504277i | ||||
\(586\) | 31.4548 | + | 21.4455i | 1.29939 | + | 0.885906i | ||||
\(587\) | −40.3738 | −1.66640 | −0.833202 | − | 0.552968i | \(-0.813495\pi\) | ||||
−0.833202 | + | 0.552968i | \(0.813495\pi\) | |||||||
\(588\) | 7.65795 | − | 9.56088i | 0.315809 | − | 0.394284i | ||||
\(589\) | 13.1212 | 0.540651 | ||||||||
\(590\) | 45.3812 | + | 30.9404i | 1.86831 | + | 1.27379i | ||||
\(591\) | −31.9678 | − | 29.6618i | −1.31498 | − | 1.22012i | ||||
\(592\) | 12.5697 | + | 32.0272i | 0.516614 | + | 1.31631i | ||||
\(593\) | −42.5164 | + | 13.1146i | −1.74594 | + | 0.538551i | −0.992850 | − | 0.119366i | \(-0.961914\pi\) |
−0.753090 | + | 0.657917i | \(0.771438\pi\) | |||||||
\(594\) | −2.14908 | − | 9.41574i | −0.0881779 | − | 0.386333i | ||||
\(595\) | −18.4312 | − | 59.9795i | −0.755607 | − | 2.45892i | ||||
\(596\) | −2.26906 | + | 9.94141i | −0.0929444 | + | 0.407216i | ||||
\(597\) | 3.60281 | + | 48.0761i | 0.147453 | + | 1.96762i | ||||
\(598\) | 9.66236 | + | 2.98044i | 0.395123 | + | 0.121879i | ||||
\(599\) | 0.356557 | − | 4.75792i | 0.0145685 | − | 0.194403i | −0.985171 | − | 0.171576i | \(-0.945114\pi\) |
0.999739 | − | 0.0228274i | \(-0.00726682\pi\) | |||||||
\(600\) | 8.40621 | − | 21.4187i | 0.343182 | − | 0.874414i | ||||
\(601\) | 20.8202 | − | 10.0265i | 0.849275 | − | 0.408989i | 0.0419668 | − | 0.999119i | \(-0.486638\pi\) |
0.807309 | + | 0.590130i | \(0.200923\pi\) | |||||||
\(602\) | −0.392079 | − | 0.226925i | −0.0159800 | − | 0.00924876i | ||||
\(603\) | 0.349029 | + | 0.168084i | 0.0142136 | + | 0.00684490i | ||||
\(604\) | 5.90676 | − | 5.48067i | 0.240343 | − | 0.223005i | ||||
\(605\) | 32.2291 | − | 4.85776i | 1.31030 | − | 0.197496i | ||||
\(606\) | −13.6219 | + | 23.5939i | −0.553353 | + | 0.958435i | ||||
\(607\) | −19.3415 | − | 33.5005i | −0.785049 | − | 1.35974i | −0.928970 | − | 0.370155i | \(-0.879305\pi\) |
0.143921 | − | 0.989589i | \(-0.454029\pi\) | |||||||
\(608\) | −11.9991 | − | 15.0464i | −0.486629 | − | 0.610214i | ||||
\(609\) | −27.9075 | − | 6.40101i | −1.13087 | − | 0.259382i | ||||
\(610\) | −25.2031 | + | 31.6037i | −1.02044 | + | 1.27959i | ||||
\(611\) | 6.45792 | + | 0.973375i | 0.261259 | + | 0.0393785i | ||||
\(612\) | 2.79883 | − | 1.90821i | 0.113136 | − | 0.0771348i | ||||
\(613\) | 18.0450 | − | 12.3029i | 0.728830 | − | 0.496908i | −0.141154 | − | 0.989988i | \(-0.545081\pi\) |
0.869984 | + | 0.493080i | \(0.164129\pi\) | |||||||
\(614\) | −42.1388 | − | 6.35140i | −1.70058 | − | 0.256322i | ||||
\(615\) | −38.1979 | + | 47.8986i | −1.54029 | + | 1.93146i | ||||
\(616\) | 2.55279 | − | 5.28651i | 0.102855 | − | 0.212999i | ||||
\(617\) | −12.4347 | − | 15.5926i | −0.500601 | − | 0.627734i | 0.465764 | − | 0.884909i | \(-0.345780\pi\) |
−0.966365 | + | 0.257175i | \(0.917208\pi\) | |||||||
\(618\) | 16.2168 | + | 28.0884i | 0.652336 | + | 1.12988i | ||||
\(619\) | 17.9876 | − | 31.1554i | 0.722982 | − | 1.25224i | −0.236817 | − | 0.971554i | \(-0.576104\pi\) |
0.959799 | − | 0.280688i | \(-0.0905626\pi\) | |||||||
\(620\) | −10.5281 | + | 1.58685i | −0.422817 | + | 0.0637294i | ||||
\(621\) | −20.1191 | + | 18.6678i | −0.807351 | + | 0.749112i | ||||
\(622\) | −3.43855 | − | 1.65592i | −0.137873 | − | 0.0663963i | ||||
\(623\) | −11.9047 | − | 0.904896i | −0.476950 | − | 0.0362539i | ||||
\(624\) | −8.44907 | + | 4.06886i | −0.338233 | + | 0.162885i | ||||
\(625\) | −4.96265 | + | 12.6446i | −0.198506 | + | 0.505785i | ||||
\(626\) | −1.82174 | + | 24.3094i | −0.0728113 | + | 0.971599i | ||||
\(627\) | −8.55517 | − | 2.63892i | −0.341660 | − | 0.105388i | ||||
\(628\) | −0.0531965 | − | 0.709858i | −0.00212277 | − | 0.0283264i | ||||
\(629\) | 10.6249 | − | 46.5508i | 0.423643 | − | 1.85610i | ||||
\(630\) | −7.55928 | − | 2.97610i | −0.301169 | − | 0.118571i | ||||
\(631\) | −2.40285 | − | 10.5276i | −0.0956559 | − | 0.419096i | 0.904314 | − | 0.426868i | \(-0.140383\pi\) |
−0.999970 | + | 0.00777219i | \(0.997526\pi\) | |||||||
\(632\) | −18.9445 | + | 5.84361i | −0.753573 | + | 0.232446i | ||||
\(633\) | −4.25006 | − | 10.8290i | −0.168925 | − | 0.430413i | ||||
\(634\) | −28.6464 | − | 26.5800i | −1.13770 | − | 1.05563i | ||||
\(635\) | −23.2612 | − | 15.8592i | −0.923092 | − | 0.629353i | ||||
\(636\) | 6.11832 | 0.242607 | ||||||||
\(637\) | 6.92402 | − | 1.02853i | 0.274340 | − | 0.0407520i | ||||
\(638\) | 11.9787 | 0.474241 | ||||||||
\(639\) | 4.79885 | + | 3.27180i | 0.189840 | + | 0.129431i | ||||
\(640\) | −31.4550 | − | 29.1859i | −1.24337 | − | 1.15368i | ||||
\(641\) | −6.77905 | − | 17.2727i | −0.267757 | − | 0.682232i | −0.999999 | − | 0.00118879i | \(-0.999622\pi\) |
0.732243 | − | 0.681044i | \(-0.238474\pi\) | |||||||
\(642\) | 7.54434 | − | 2.32712i | 0.297751 | − | 0.0918441i | ||||
\(643\) | −0.229436 | − | 1.00523i | −0.00904809 | − | 0.0396423i | 0.970202 | − | 0.242296i | \(-0.0779005\pi\) |
−0.979250 | + | 0.202654i | \(0.935043\pi\) | |||||||
\(644\) | 14.5241 | − | 1.07286i | 0.572330 | − | 0.0422767i | ||||
\(645\) | −0.142895 | + | 0.626065i | −0.00562649 | + | 0.0246513i | ||||
\(646\) | 3.48646 | + | 46.5236i | 0.137173 | + | 1.83044i | ||||
\(647\) | −36.4154 | − | 11.2327i | −1.43164 | − | 0.441601i | −0.520555 | − | 0.853828i | \(-0.674275\pi\) |
−0.911081 | + | 0.412227i | \(0.864751\pi\) | |||||||
\(648\) | 1.40713 | − | 18.7768i | 0.0552772 | − | 0.737623i | ||||
\(649\) | 4.15682 | − | 10.5914i | 0.163169 | − | 0.415749i | ||||
\(650\) | −10.3415 | + | 4.98020i | −0.405627 | + | 0.195339i | ||||
\(651\) | −2.45404 | − | 16.4001i | −0.0961813 | − | 0.642770i | ||||
\(652\) | 10.2677 | + | 4.94467i | 0.402114 | + | 0.193648i | ||||
\(653\) | −4.61892 | + | 4.28573i | −0.180752 | + | 0.167714i | −0.765360 | − | 0.643603i | \(-0.777439\pi\) |
0.584608 | + | 0.811316i | \(0.301248\pi\) | |||||||
\(654\) | 17.9089 | − | 2.69933i | 0.700294 | − | 0.105552i | ||||
\(655\) | −6.89897 | + | 11.9494i | −0.269565 | + | 0.466901i | ||||
\(656\) | 23.8270 | + | 41.2696i | 0.930290 | + | 1.61131i | ||||
\(657\) | 0.289267 | + | 0.362729i | 0.0112854 | + | 0.0141514i | ||||
\(658\) | 28.8531 | − | 6.55318i | 1.12481 | − | 0.255469i | ||||
\(659\) | −6.78151 | + | 8.50374i | −0.264170 | + | 0.331259i | −0.896171 | − | 0.443709i | \(-0.853662\pi\) |
0.632001 | + | 0.774968i | \(0.282234\pi\) | |||||||
\(660\) | 7.18354 | + | 1.08274i | 0.279619 | + | 0.0421457i | ||||
\(661\) | 4.80467 | − | 3.27577i | 0.186880 | − | 0.127413i | −0.466266 | − | 0.884644i | \(-0.654401\pi\) |
0.653146 | + | 0.757232i | \(0.273449\pi\) | |||||||
\(662\) | −31.6443 | + | 21.5747i | −1.22989 | + | 0.838524i | ||||
\(663\) | 12.8691 | + | 1.93970i | 0.499793 | + | 0.0753317i | ||||
\(664\) | 8.76824 | − | 10.9950i | 0.340274 | − | 0.426690i | ||||
\(665\) | 27.8343 | − | 22.1486i | 1.07937 | − | 0.858885i | ||||
\(666\) | −3.85442 | − | 4.83329i | −0.149356 | − | 0.187286i | ||||
\(667\) | −17.0204 | − | 29.4803i | −0.659034 | − | 1.14148i | ||||
\(668\) | 0.530308 | − | 0.918520i | 0.0205182 | − | 0.0355386i | ||||
\(669\) | 3.11991 | − | 0.470251i | 0.120623 | − | 0.0181810i | ||||
\(670\) | 3.17363 | − | 2.94470i | 0.122608 | − | 0.113764i | ||||
\(671\) | 7.54443 | + | 3.63320i | 0.291249 | + | 0.140258i | ||||
\(672\) | −16.5622 | + | 17.8117i | −0.638902 | + | 0.687102i | ||||
\(673\) | 20.4844 | − | 9.86477i | 0.789616 | − | 0.380259i | 0.00480024 | − | 0.999988i | \(-0.498472\pi\) |
0.784815 | + | 0.619730i | \(0.212758\pi\) | |||||||
\(674\) | 5.42038 | − | 13.8109i | 0.208785 | − | 0.531976i | ||||
\(675\) | 2.32821 | − | 31.0678i | 0.0896129 | − | 1.19580i | ||||
\(676\) | 0.890762 | + | 0.274764i | 0.0342601 | + | 0.0105678i | ||||
\(677\) | 0.136969 | + | 1.82773i | 0.00526415 | + | 0.0702452i | 0.999217 | − | 0.0395611i | \(-0.0125960\pi\) |
−0.993953 | + | 0.109806i | \(0.964977\pi\) | |||||||
\(678\) | −11.4285 | + | 50.0716i | −0.438909 | + | 1.92299i | ||||
\(679\) | −6.32576 | + | 41.6672i | −0.242760 | + | 1.59904i | ||||
\(680\) | 9.64969 | + | 42.2780i | 0.370049 | + | 1.62129i | ||||
\(681\) | 27.9656 | − | 8.62624i | 1.07164 | − | 0.330558i | ||||
\(682\) | 2.53460 | + | 6.45805i | 0.0970547 | + | 0.247291i | ||||
\(683\) | 6.32844 | + | 5.87194i | 0.242151 | + | 0.224683i | 0.791907 | − | 0.610642i | \(-0.209089\pi\) |
−0.549755 | + | 0.835326i | \(0.685279\pi\) | |||||||
\(684\) | 1.58664 | + | 1.08175i | 0.0606665 | + | 0.0413617i | ||||
\(685\) | −12.2464 | −0.467911 | ||||||||
\(686\) | 27.5151 | − | 15.7687i | 1.05053 | − | 0.602054i | ||||
\(687\) | −1.78782 | −0.0682097 | ||||||||
\(688\) | 0.412708 | + | 0.281379i | 0.0157343 | + | 0.0107275i | ||||
\(689\) | 2.56295 | + | 2.37807i | 0.0976407 | + | 0.0905973i | ||||
\(690\) | −23.7245 | − | 60.4492i | −0.903178 | − | 2.30126i | ||||
\(691\) | 9.14490 | − | 2.82083i | 0.347888 | − | 0.107309i | −0.115887 | − | 0.993262i | \(-0.536971\pi\) |
0.463775 | + | 0.885953i | \(0.346495\pi\) | |||||||
\(692\) | −4.50299 | − | 19.7289i | −0.171178 | − | 0.749980i | ||||
\(693\) | −0.252600 | + | 1.66386i | −0.00959550 | + | 0.0632047i | ||||
\(694\) | −7.03052 | + | 30.8027i | −0.266875 | + | 1.16925i | ||||
\(695\) | −4.75591 | − | 63.4632i | −0.180402 | − | 2.40730i | ||||
\(696\) | 18.9088 | + | 5.83258i | 0.716735 | + | 0.221084i | ||||
\(697\) | 4.94222 | − | 65.9493i | 0.187200 | − | 2.49801i | ||||
\(698\) | −15.3054 | + | 38.9976i | −0.579320 | + | 1.47608i | ||||
\(699\) | −1.95656 | + | 0.942228i | −0.0740037 | + | 0.0356383i | ||||
\(700\) | −11.2575 | + | 12.1068i | −0.425494 | + | 0.457594i | ||||
\(701\) | 23.2249 | + | 11.1845i | 0.877192 | + | 0.422433i | 0.817598 | − | 0.575790i | \(-0.195305\pi\) |
0.0595936 | + | 0.998223i | \(0.481020\pi\) | |||||||
\(702\) | −5.83416 | + | 5.41331i | −0.220196 | + | 0.204312i | ||||
\(703\) | 26.7656 | − | 4.03427i | 1.00948 | − | 0.152155i | ||||
\(704\) | −0.974137 | + | 1.68726i | −0.0367142 | + | 0.0635908i | ||||
\(705\) | −20.9711 | − | 36.3230i | −0.789816 | − | 1.36800i | ||||
\(706\) | −24.7592 | − | 31.0471i | −0.931825 | − | 1.16847i | ||||
\(707\) | −17.5459 | + | 13.9618i | −0.659882 | + | 0.525088i | ||||
\(708\) | −10.2301 | + | 12.8281i | −0.384471 | + | 0.482111i | ||||
\(709\) | −23.6973 | − | 3.57179i | −0.889970 | − | 0.134141i | −0.311887 | − | 0.950119i | \(-0.600961\pi\) |
−0.578083 | + | 0.815978i | \(0.696199\pi\) | |||||||
\(710\) | 53.6300 | − | 36.5643i | 2.01270 | − | 1.37223i | ||||
\(711\) | 4.69577 | − | 3.20152i | 0.176105 | − | 0.120067i | ||||
\(712\) | 8.15898 | + | 1.22977i | 0.305771 | + | 0.0460875i | ||||
\(713\) | 12.2922 | − | 15.4140i | 0.460348 | − | 0.577258i | ||||
\(714\) | 57.4973 | − | 13.0589i | 2.15178 | − | 0.488717i | ||||
\(715\) | 2.58833 | + | 3.24566i | 0.0967979 | + | 0.121381i | ||||
\(716\) | −2.07184 | − | 3.58853i | −0.0774282 | − | 0.134110i | ||||
\(717\) | −5.22607 | + | 9.05182i | −0.195171 | + | 0.338047i | ||||
\(718\) | −25.1050 | + | 3.78397i | −0.936911 | + | 0.141217i | ||||
\(719\) | −31.8305 | + | 29.5344i | −1.18708 | + | 1.10145i | −0.194367 | + | 0.980929i | \(0.562265\pi\) |
−0.992711 | + | 0.120518i | \(0.961544\pi\) | |||||||
\(720\) | 8.07063 | + | 3.88661i | 0.300775 | + | 0.144845i | ||||
\(721\) | 3.95046 | + | 26.4005i | 0.147123 | + | 0.983207i | ||||
\(722\) | 5.48421 | − | 2.64106i | 0.204101 | − | 0.0982900i | ||||
\(723\) | 13.4581 | − | 34.2907i | 0.500513 | − | 1.27529i | ||||
\(724\) | −1.62344 | + | 21.6634i | −0.0603348 | + | 0.805113i | ||||
\(725\) | 36.9248 | + | 11.3898i | 1.37135 | + | 0.423006i | ||||
\(726\) | 2.28873 | + | 30.5410i | 0.0849428 | + | 1.13348i | ||||
\(727\) | −4.06775 | + | 17.8220i | −0.150864 | + | 0.660980i | 0.841770 | + | 0.539836i | \(0.181514\pi\) |
−0.992635 | + | 0.121145i | \(0.961344\pi\) | |||||||
\(728\) | −4.82461 | + | 0.356382i | −0.178812 | + | 0.0132084i | ||||
\(729\) | −4.62352 | − | 20.2569i | −0.171241 | − | 0.750257i | ||||
\(730\) | 4.95453 | − | 1.52827i | 0.183375 | − | 0.0565638i | ||||
\(731\) | −0.253257 | − | 0.645289i | −0.00936705 | − | 0.0238669i | ||||
\(732\) | −8.85196 | − | 8.21342i | −0.327178 | − | 0.303577i | ||||
\(733\) | −2.01357 | − | 1.37283i | −0.0743730 | − | 0.0507067i | 0.525563 | − | 0.850755i | \(-0.323855\pi\) |
−0.599936 | + | 0.800048i | \(0.704807\pi\) | |||||||
\(734\) | −34.2238 | −1.26323 | ||||||||
\(735\) | −32.8891 | − | 30.6474i | −1.21313 | − | 1.13044i | ||||
\(736\) | −28.9166 | −1.06588 | ||||||||
\(737\) | −0.741003 | − | 0.505207i | −0.0272952 | − | 0.0186095i | ||||
\(738\) | −6.27677 | − | 5.82399i | −0.231051 | − | 0.214384i | ||||
\(739\) | −9.21714 | − | 23.4849i | −0.339058 | − | 0.863906i | −0.994115 | − | 0.108326i | \(-0.965451\pi\) |
0.655057 | − | 0.755579i | \(-0.272644\pi\) | |||||||
\(740\) | −20.9880 | + | 6.47394i | −0.771534 | + | 0.237987i | ||||
\(741\) | 1.64171 | + | 7.19281i | 0.0603098 | + | 0.264235i | ||||
\(742\) | 14.7387 | + | 5.80265i | 0.541074 | + | 0.213022i | ||||
\(743\) | −10.9352 | + | 47.9100i | −0.401172 | + | 1.75765i | 0.221495 | + | 0.975162i | \(0.428906\pi\) |
−0.622667 | + | 0.782487i | \(0.713951\pi\) | |||||||
\(744\) | 0.856438 | + | 11.4284i | 0.0313986 | + | 0.418985i | ||||
\(745\) | 35.7596 | + | 11.0304i | 1.31013 | + | 0.404122i | ||||
\(746\) | −0.781392 | + | 10.4270i | −0.0286088 | + | 0.381758i | ||||
\(747\) | −1.47287 | + | 3.75280i | −0.0538894 | + | 0.137308i | ||||
\(748\) | −7.06549 | + | 3.40256i | −0.258340 | + | 0.124410i | ||||
\(749\) | 6.47935 | + | 0.492508i | 0.236750 | + | 0.0179958i | ||||
\(750\) | 16.8747 | + | 8.12641i | 0.616175 | + | 0.296734i | ||||
\(751\) | −3.30175 | + | 3.06358i | −0.120483 | + | 0.111792i | −0.738113 | − | 0.674677i | \(-0.764283\pi\) |
0.617631 | + | 0.786468i | \(0.288093\pi\) | |||||||
\(752\) | −32.2599 | + | 4.86240i | −1.17640 | + | 0.177313i | ||||
\(753\) | 7.10579 | − | 12.3076i | 0.258949 | − | 0.448513i | ||||
\(754\) | −4.93561 | − | 8.54873i | −0.179744 | − | 0.311326i | ||||
\(755\) | −18.4373 | − | 23.1197i | −0.671002 | − | 0.841410i | ||||
\(756\) | −4.98459 | + | 10.3224i | −0.181288 | + | 0.375423i | ||||
\(757\) | −0.910753 | + | 1.14205i | −0.0331019 | + | 0.0415085i | −0.798107 | − | 0.602516i | \(-0.794165\pi\) |
0.765005 | + | 0.644024i | \(0.222736\pi\) | |||||||
\(758\) | −30.1867 | − | 4.54992i | −1.09643 | − | 0.165260i | ||||
\(759\) | −11.1147 | + | 7.57787i | −0.403438 | + | 0.275059i | ||||
\(760\) | −20.3118 | + | 13.8484i | −0.736787 | + | 0.502333i | ||||
\(761\) | −46.7665 | − | 7.04892i | −1.69529 | − | 0.255523i | −0.770893 | − | 0.636965i | \(-0.780190\pi\) |
−0.924393 | + | 0.381441i | \(0.875428\pi\) | |||||||
\(762\) | 16.4941 | − | 20.6829i | 0.597517 | − | 0.749263i | ||||
\(763\) | 14.5291 | + | 3.33248i | 0.525989 | + | 0.120644i | ||||
\(764\) | 6.38835 | + | 8.01074i | 0.231122 | + | 0.289818i | ||||
\(765\) | −6.21576 | − | 10.7660i | −0.224731 | − | 0.389246i | ||||
\(766\) | 9.50905 | − | 16.4702i | 0.343576 | − | 0.595091i | ||||
\(767\) | −9.27141 | + | 1.39744i | −0.334771 | + | 0.0504587i | ||||
\(768\) | 25.1383 | − | 23.3249i | 0.907099 | − | 0.841665i | ||||
\(769\) | −23.7238 | − | 11.4248i | −0.855500 | − | 0.411987i | −0.0458841 | − | 0.998947i | \(-0.514611\pi\) |
−0.809616 | + | 0.586959i | \(0.800325\pi\) | |||||||
\(770\) | 16.2778 | + | 9.42117i | 0.586612 | + | 0.339515i | ||||
\(771\) | 3.16325 | − | 1.52334i | 0.113922 | − | 0.0548618i | ||||
\(772\) | 7.48021 | − | 19.0593i | 0.269219 | − | 0.685958i | ||||
\(773\) | −0.655372 | + | 8.74533i | −0.0235721 | + | 0.314548i | 0.972937 | + | 0.231069i | \(0.0742222\pi\) |
−0.996510 | + | 0.0834791i | \(0.973397\pi\) | |||||||
\(774\) | −0.0857634 | − | 0.0264545i | −0.00308270 | − | 0.000950888i | ||||
\(775\) | 1.67244 | + | 22.3172i | 0.0600759 | + | 0.801657i | ||||
\(776\) | 6.48125 | − | 28.3962i | 0.232663 | − | 1.01936i | ||||
\(777\) | −10.0483 | − | 32.6996i | −0.360481 | − | 1.17309i | ||||
\(778\) | −2.92707 | − | 12.8243i | −0.104940 | − | 0.459774i | ||||
\(779\) | 35.8254 | − | 11.0507i | 1.28358 | − | 0.395931i | ||||
\(780\) | −2.18714 | − | 5.57274i | −0.0783121 | − | 0.199536i | ||||
\(781\) | −9.85664 | − | 9.14562i | −0.352698 | − | 0.327256i | ||||
\(782\) | 57.9191 | + | 39.4886i | 2.07118 | + | 1.41211i | ||||
\(783\) | 26.7932 | 0.957511 | ||||||||
\(784\) | −31.5372 | + | 15.1047i | −1.12633 | + | 0.539455i | ||||
\(785\) | −2.61241 | −0.0932409 | ||||||||
\(786\) | −10.7125 | − | 7.30369i | −0.382104 | − | 0.260514i | ||||
\(787\) | 5.72110 | + | 5.30840i | 0.203935 | + | 0.189224i | 0.775528 | − | 0.631313i | \(-0.217484\pi\) |
−0.571593 | + | 0.820537i | \(0.693674\pi\) | |||||||
\(788\) | −7.91127 | − | 20.1576i | −0.281827 | − | 0.718084i | ||||
\(789\) | −46.8296 | + | 14.4450i | −1.66718 | + | 0.514256i | ||||
\(790\) | −14.1333 | − | 61.9218i | −0.502839 | − | 2.20308i | ||||
\(791\) | −23.8494 | + | 34.9006i | −0.847987 | + | 1.24092i | ||||
\(792\) | 0.258810 | − | 1.13392i | 0.00919640 | − | 0.0402921i | ||||
\(793\) | −0.515672 | − | 6.88117i | −0.0183121 | − | 0.244357i | ||||
\(794\) | −3.40334 | − | 1.04979i | −0.120780 | − | 0.0372557i | ||||
\(795\) | 1.67796 | − | 22.3908i | 0.0595111 | − | 0.794120i | ||||
\(796\) | −8.74607 | + | 22.2846i | −0.309996 | + | 0.789858i | ||||
\(797\) | −3.86879 | + | 1.86311i | −0.137040 | + | 0.0659948i | −0.501147 | − | 0.865362i | \(-0.667088\pi\) |
0.364107 | + | 0.931357i | \(0.381374\pi\) | |||||||
\(798\) | 18.7995 | + | 27.6370i | 0.665494 | + | 0.978340i | ||||
\(799\) | 40.7922 | + | 19.6445i | 1.44312 | + | 0.694972i | ||||
\(800\) | 24.0623 | − | 22.3265i | 0.850729 | − | 0.789361i | ||||
\(801\) | −2.33893 | + | 0.352537i | −0.0826421 | + | 0.0124563i | ||||
\(802\) | 23.9053 | − | 41.4053i | 0.844127 | − | 1.46207i | ||||
\(803\) | −0.537033 | − | 0.930169i | −0.0189515 | − | 0.0328249i | ||||
\(804\) | 0.806365 | + | 1.01115i | 0.0284383 | + | 0.0356605i | ||||
\(805\) | 0.0569818 | − | 53.4471i | 0.00200835 | − | 1.88376i | ||||
\(806\) | 3.56452 | − | 4.46977i | 0.125555 | − | 0.157441i | ||||
\(807\) | −53.3998 | − | 8.04872i | −1.87976 | − | 0.283328i | ||||
\(808\) | 12.8040 | − | 8.72961i | 0.450443 | − | 0.307107i | ||||
\(809\) | 6.92206 | − | 4.71938i | 0.243367 | − | 0.165925i | −0.435494 | − | 0.900192i | \(-0.643426\pi\) |
0.678861 | + | 0.734267i | \(0.262474\pi\) | |||||||
\(810\) | 59.6501 | + | 8.99081i | 2.09589 | + | 0.315905i | ||||
\(811\) | 10.7436 | − | 13.4720i | 0.377258 | − | 0.473066i | −0.556564 | − | 0.830805i | \(-0.687881\pi\) |
0.933822 | + | 0.357739i | \(0.116452\pi\) | |||||||
\(812\) | −11.1062 | − | 8.87631i | −0.389752 | − | 0.311497i | ||||
\(813\) | 23.7609 | + | 29.7952i | 0.833330 | + | 1.04496i | ||||
\(814\) | 7.15585 | + | 12.3943i | 0.250813 | + | 0.434420i | ||||
\(815\) | 20.9116 | − | 36.2199i | 0.732501 | − | 1.26873i | ||||
\(816\) | −64.2862 | + | 9.68958i | −2.25047 | + | 0.339203i | ||||
\(817\) | 0.288071 | − | 0.267290i | 0.0100783 | − | 0.00935131i | ||||
\(818\) | −20.9058 | − | 10.0677i | −0.730954 | − | 0.352009i | ||||
\(819\) | 1.29151 | − | 0.505292i | 0.0451290 | − | 0.0176563i | ||||
\(820\) | −27.4087 | + | 13.1993i | −0.957154 | + | 0.460941i | ||||
\(821\) | −9.84584 | + | 25.0868i | −0.343622 | + | 0.875535i | 0.649703 | + | 0.760188i | \(0.274893\pi\) |
−0.993325 | + | 0.115347i | \(0.963202\pi\) | |||||||
\(822\) | 0.859956 | − | 11.4753i | 0.0299944 | − | 0.400248i | ||||
\(823\) | 26.3452 | + | 8.12640i | 0.918334 | + | 0.283269i | 0.717663 | − | 0.696390i | \(-0.245212\pi\) |
0.200671 | + | 0.979659i | \(0.435688\pi\) | |||||||
\(824\) | −1.37868 | − | 18.3972i | −0.0480285 | − | 0.640895i | ||||
\(825\) | 3.39794 | − | 14.8874i | 0.118301 | − | 0.518312i | ||||
\(826\) | −36.8100 | + | 21.2000i | −1.28078 | + | 0.737641i | ||||
\(827\) | −7.37873 | − | 32.3283i | −0.256584 | − | 1.12417i | −0.924876 | − | 0.380268i | \(-0.875832\pi\) |
0.668293 | − | 0.743899i | \(-0.267025\pi\) | |||||||
\(828\) | 2.75716 | − | 0.850472i | 0.0958181 | − | 0.0295560i | ||||
\(829\) | 15.8475 | + | 40.3788i | 0.550406 | + | 1.40241i | 0.887442 | + | 0.460920i | \(0.152481\pi\) |
−0.337035 | + | 0.941492i | \(0.609424\pi\) | |||||||
\(830\) | 33.0270 | + | 30.6446i | 1.14638 | + | 1.06369i | ||||
\(831\) | −34.5114 | − | 23.5295i | −1.19719 | − | 0.816229i | ||||
\(832\) | 1.60551 | 0.0556609 | ||||||||
\(833\) | 47.9707 | + | 7.33506i | 1.66209 | + | 0.254145i | ||||
\(834\) | 59.8013 | 2.07075 | ||||||||
\(835\) | −3.21601 | − | 2.19264i | −0.111294 | − | 0.0758793i | ||||
\(836\) | −3.25888 | − | 3.02380i | −0.112711 | − | 0.104580i | ||||
\(837\) | 5.66923 | + | 14.4450i | 0.195957 | + | 0.499291i | ||||
\(838\) | 35.4644 | − | 10.9393i | 1.22510 | − | 0.377893i | ||||
\(839\) | 3.32877 | + | 14.5843i | 0.114922 | + | 0.503505i | 0.999323 | + | 0.0367787i | \(0.0117097\pi\) |
−0.884402 | + | 0.466727i | \(0.845433\pi\) | |||||||
\(840\) | 21.1078 | + | 22.7975i | 0.728289 | + | 0.786589i | ||||
\(841\) | −0.941634 | + | 4.12557i | −0.0324701 | + | 0.142261i | ||||
\(842\) | 0.942157 | + | 12.5722i | 0.0324689 | + | 0.433267i | ||||
\(843\) | −28.1174 | − | 8.67308i | −0.968415 | − | 0.298717i | ||||
\(844\) | 0.431679 | − | 5.76036i | 0.0148590 | − | 0.198280i | ||||
\(845\) | 1.24983 | − | 3.18451i | 0.0429953 | − | 0.109550i | ||||
\(846\) | 5.28143 | − | 2.54340i | 0.181579 | − | 0.0874440i | ||||
\(847\) | −7.45563 | + | 24.0794i | −0.256178 | + | 0.827377i | ||||
\(848\) | −15.7357 | − | 7.57791i | −0.540366 | − | 0.260226i | ||||
\(849\) | −20.2069 | + | 18.7493i | −0.693500 | + | 0.643474i | ||||
\(850\) | −78.6850 | + | 11.8599i | −2.69887 | + | 0.406790i | ||||
\(851\) | 20.3354 | − | 35.2219i | 0.697088 | − | 1.20739i | ||||
\(852\) | 9.69510 | + | 16.7924i | 0.332149 | + | 0.575298i | ||||
\(853\) | 29.4814 | + | 36.9685i | 1.00942 | + | 1.26578i | 0.963746 | + | 0.266821i | \(0.0859734\pi\) |
0.0456780 | + | 0.998956i | \(0.485455\pi\) | |||||||
\(854\) | −13.5342 | − | 28.1809i | −0.463131 | − | 0.964330i | ||||
\(855\) | 4.39394 | − | 5.50983i | 0.150270 | − | 0.188432i | ||||
\(856\) | −4.44069 | − | 0.669326i | −0.151780 | − | 0.0228771i | ||||
\(857\) | −22.3359 | + | 15.2284i | −0.762981 | + | 0.520191i | −0.881170 | − | 0.472800i | \(-0.843243\pi\) |
0.118189 | + | 0.992991i | \(0.462291\pi\) | |||||||
\(858\) | −3.22306 | + | 2.19744i | −0.110033 | + | 0.0750194i | ||||
\(859\) | 18.3547 | + | 2.76653i | 0.626255 | + | 0.0943927i | 0.454499 | − | 0.890747i | \(-0.349818\pi\) |
0.171755 | + | 0.985140i | \(0.445056\pi\) | |||||||
\(860\) | −0.198813 | + | 0.249304i | −0.00677947 | + | 0.00850119i | ||||
\(861\) | −20.5125 | − | 42.7110i | −0.699063 | − | 1.45559i | ||||
\(862\) | −31.7579 | − | 39.8231i | −1.08168 | − | 1.35638i | ||||
\(863\) | −4.24223 | − | 7.34776i | −0.144407 | − | 0.250121i | 0.784744 | − | 0.619820i | \(-0.212794\pi\) |
−0.929152 | + | 0.369699i | \(0.879461\pi\) | |||||||
\(864\) | 11.3800 | − | 19.7107i | 0.387155 | − | 0.670573i | ||||
\(865\) | −73.4354 | + | 11.0686i | −2.49688 | + | 0.376344i | ||||
\(866\) | −42.9415 | + | 39.8439i | −1.45921 | + | 1.35395i | ||||
\(867\) | 52.5357 | + | 25.2998i | 1.78420 | + | 0.859228i | ||||
\(868\) | 2.43547 | − | 7.86583i | 0.0826654 | − | 0.266984i | ||||
\(869\) | −11.8542 | + | 5.70870i | −0.402127 | + | 0.193654i | ||||
\(870\) | −23.1606 | + | 59.0122i | −0.785217 | + | 2.00070i | ||||
\(871\) | −0.0552295 | + | 0.736987i | −0.00187138 | + | 0.0249718i | ||||
\(872\) | −9.84423 | − | 3.03654i | −0.333368 | − | 0.102830i | ||||
\(873\) | 0.623972 | + | 8.32632i | 0.0211182 | + | 0.281803i | ||||
\(874\) | −8.84276 | + | 38.7427i | −0.299111 | + | 1.31049i | ||||
\(875\) | 10.4730 | + | 11.3113i | 0.354051 | + | 0.382393i | ||||
\(876\) | 0.344659 | + | 1.51005i | 0.0116450 | + | 0.0510199i | ||||
\(877\) | 6.68415 | − | 2.06179i | 0.225708 | − | 0.0696216i | −0.179839 | − | 0.983696i | \(-0.557558\pi\) |
0.405546 | + | 0.914075i | \(0.367081\pi\) | |||||||
\(878\) | 18.7913 | + | 47.8794i | 0.634175 | + | 1.61585i | ||||
\(879\) | 30.5949 | + | 28.3880i | 1.03194 | + | 0.957502i | ||||
\(880\) | −17.1343 | − | 11.6819i | −0.577596 | − | 0.393798i | ||||
\(881\) | −15.1702 | −0.511097 | −0.255549 | − | 0.966796i | \(-0.582256\pi\) | ||||
−0.255549 | + | 0.966796i | \(0.582256\pi\) | |||||||
\(882\) | 4.61489 | − | 4.26372i | 0.155391 | − | 0.143567i | ||||
\(883\) | −16.3328 | −0.549642 | −0.274821 | − | 0.961495i | \(-0.588619\pi\) | ||||
−0.274821 | + | 0.961495i | \(0.588619\pi\) | |||||||
\(884\) | 5.33949 | + | 3.64040i | 0.179587 | + | 0.122440i | ||||
\(885\) | 44.1406 | + | 40.9565i | 1.48377 | + | 1.37674i | ||||
\(886\) | 8.52009 | + | 21.7088i | 0.286238 | + | 0.729322i | ||||
\(887\) | 25.1863 | − | 7.76895i | 0.845674 | − | 0.260856i | 0.158509 | − | 0.987358i | \(-0.449331\pi\) |
0.687165 | + | 0.726502i | \(0.258855\pi\) | |||||||
\(888\) | 5.26081 | + | 23.0491i | 0.176541 | + | 0.773477i | ||||
\(889\) | 18.8678 | − | 10.8665i | 0.632806 | − | 0.364452i | ||||
\(890\) | −5.88215 | + | 25.7714i | −0.197170 | + | 0.863859i | ||||
\(891\) | −0.933850 | − | 12.4614i | −0.0312851 | − | 0.417471i | ||||
\(892\) | 1.49711 | + | 0.461797i | 0.0501269 | + | 0.0154621i | ||||
\(893\) | −1.91807 | + | 25.5948i | −0.0641856 | + | 0.856498i | ||||
\(894\) | −12.8469 | + | 32.7335i | −0.429666 | + | 1.09477i | ||||
\(895\) | −13.7009 | + | 6.59800i | −0.457970 | + | 0.220547i | ||||
\(896\) | 30.9047 | − | 12.0912i | 1.03245 | − | 0.403938i | ||||
\(897\) | 9.98764 | + | 4.80980i | 0.333478 | + | 0.160594i | ||||
\(898\) | 17.9390 | − | 16.6449i | 0.598631 | − | 0.555449i | ||||
\(899\) | −19.0316 | + | 2.86855i | −0.634739 | + | 0.0956715i | ||||
\(900\) | −1.63766 | + | 2.83650i | −0.0545885 | + | 0.0945501i | ||||
\(901\) | 12.1192 | + | 20.9910i | 0.403748 | + | 0.699311i | ||||
\(902\) | 12.3593 | + | 15.4980i | 0.411519 | + | 0.516028i | ||||
\(903\) | −0.387961 | − | 0.310066i | −0.0129105 | − | 0.0103183i | ||||
\(904\) | 18.2146 | − | 22.8404i | 0.605808 | − | 0.759659i | ||||
\(905\) | 78.8347 | + | 11.8824i | 2.62055 | + | 0.394985i | ||||
\(906\) | 22.9586 | − | 15.6529i | 0.762750 | − | 0.520034i | ||||
\(907\) | 14.8421 | − | 10.1192i | 0.492824 | − | 0.336002i | −0.291273 | − | 0.956640i | \(-0.594079\pi\) |
0.784097 | + | 0.620638i | \(0.213126\pi\) | |||||||
\(908\) | 14.3698 | + | 2.16590i | 0.476879 | + | 0.0718780i | ||||
\(909\) | −2.76981 | + | 3.47324i | −0.0918689 | + | 0.115200i | ||||
\(910\) | 0.0165237 | − | 15.4987i | 0.000547755 | − | 0.513777i | ||||
\(911\) | 1.11222 | + | 1.39468i | 0.0368495 | + | 0.0462079i | 0.799915 | − | 0.600114i | \(-0.204878\pi\) |
−0.763065 | + | 0.646321i | \(0.776307\pi\) | |||||||
\(912\) | −18.4275 | − | 31.9174i | −0.610196 | − | 1.05689i | ||||
\(913\) | 4.66656 | − | 8.08272i | 0.154441 | − | 0.267499i | ||||
\(914\) | 41.9392 | − | 6.32132i | 1.38723 | − | 0.209091i | ||||
\(915\) | −32.4857 | + | 30.1424i | −1.07395 | + | 0.996476i | ||||
\(916\) | −0.799841 | − | 0.385183i | −0.0264275 | − | 0.0127268i | ||||
\(917\) | −6.00189 | − | 8.82335i | −0.198200 | − | 0.291373i | ||||
\(918\) | −49.7107 | + | 23.9394i | −1.64070 | + | 0.790118i | ||||
\(919\) | −6.21661 | + | 15.8397i | −0.205067 | + | 0.522503i | −0.995995 | − | 0.0894066i | \(-0.971503\pi\) |
0.790928 | + | 0.611909i | \(0.209598\pi\) | |||||||
\(920\) | −2.76036 | + | 36.8345i | −0.0910064 | + | 1.21440i | ||||
\(921\) | −44.6434 | − | 13.7707i | −1.47105 | − | 0.453759i | ||||
\(922\) | 4.83498 | + | 64.5183i | 0.159231 | + | 2.12480i | ||||
\(923\) | −2.46562 | + | 10.8026i | −0.0811569 | + | 0.355572i | ||||
\(924\) | −3.16991 | + | 4.63878i | −0.104283 | + | 0.152605i | ||||
\(925\) | 10.2732 | + | 45.0100i | 0.337782 | + | 1.47992i | ||||
\(926\) | 26.1360 | − | 8.06189i | 0.858882 | − | 0.264930i | ||||
\(927\) | 1.93218 | + | 4.92311i | 0.0634610 | + | 0.161696i | ||||
\(928\) | 20.6935 | + | 19.2008i | 0.679298 | + | 0.630296i | ||||
\(929\) | −11.9832 | − | 8.17000i | −0.393156 | − | 0.268049i | 0.350567 | − | 0.936538i | \(-0.385989\pi\) |
−0.743722 | + | 0.668489i | \(0.766941\pi\) | |||||||
\(930\) | −36.7157 | −1.20396 | ||||||||
\(931\) | 6.06442 | + | 26.8336i | 0.198753 | + | 0.879434i | ||||
\(932\) | −1.07833 | −0.0353219 | ||||||||
\(933\) | −3.45705 | − | 2.35697i | −0.113179 | − | 0.0771639i | ||||
\(934\) | −14.6310 | − | 13.5756i | −0.478741 | − | 0.444207i | ||||
\(935\) | 10.5144 | + | 26.7903i | 0.343858 | + | 0.876135i | ||||
\(936\) | −0.915872 | + | 0.282509i | −0.0299362 | + | 0.00923410i | ||||
\(937\) | 6.91884 | + | 30.3134i | 0.226028 | + | 0.990296i | 0.952843 | + | 0.303462i | \(0.0981426\pi\) |
−0.726815 | + | 0.686833i | \(0.759000\pi\) | |||||||
\(938\) | 0.983507 | + | 3.20056i | 0.0321126 | + | 0.104502i | ||||
\(939\) | −5.94696 | + | 26.0553i | −0.194072 | + | 0.850284i | ||||
\(940\) | −1.55638 | − | 20.7684i | −0.0507635 | − | 0.677391i | ||||
\(941\) | 31.1373 | + | 9.60459i | 1.01505 | + | 0.313101i | 0.757269 | − | 0.653103i | \(-0.226533\pi\) |
0.257779 | + | 0.966204i | \(0.417010\pi\) | |||||||
\(942\) | 0.183446 | − | 2.44792i | 0.00597701 | − | 0.0797576i | ||||
\(943\) | 20.5804 | − | 52.4379i | 0.670189 | − | 1.70761i | ||||
\(944\) | 42.1992 | − | 20.3221i | 1.37347 | − | 0.661427i | ||||
\(945\) | 36.4093 | + | 21.0727i | 1.18439 | + | 0.685494i | ||||
\(946\) | 0.187202 | + | 0.0901516i | 0.00608646 | + | 0.00293108i | ||||
\(947\) | −9.19119 | + | 8.52818i | −0.298673 | + | 0.277128i | −0.815246 | − | 0.579115i | \(-0.803398\pi\) |
0.516572 | + | 0.856244i | \(0.327208\pi\) | |||||||
\(948\) | 18.7618 | − | 2.82788i | 0.609354 | − | 0.0918453i | ||||
\(949\) | −0.442550 | + | 0.766520i | −0.0143658 | + | 0.0248823i | ||||
\(950\) | −22.5549 | − | 39.0662i | −0.731777 | − | 1.26748i | ||||
\(951\) | −26.7115 | − | 33.4952i | −0.866181 | − | 1.08616i | ||||
\(952\) | −32.6894 | − | 7.49782i | −1.05947 | − | 0.243006i | ||||
\(953\) | −10.1833 | + | 12.7695i | −0.329870 | + | 0.413643i | −0.918914 | − | 0.394457i | \(-0.870933\pi\) |
0.589045 | + | 0.808100i | \(0.299504\pi\) | |||||||
\(954\) | 3.10312 | + | 0.467721i | 0.100467 | + | 0.0151430i | ||||
\(955\) | 31.0684 | − | 21.1821i | 1.00535 | − | 0.685435i | ||||
\(956\) | −4.28825 | + | 2.92368i | −0.138692 | + | 0.0945586i | ||||
\(957\) | 12.9857 | + | 1.95728i | 0.419768 | + | 0.0632698i | ||||
\(958\) | 8.16230 | − | 10.2352i | 0.263712 | − | 0.330684i | ||||
\(959\) | 4.11851 | − | 8.52889i | 0.132993 | − | 0.275412i | ||||
\(960\) | −6.42867 | − | 8.06130i | −0.207484 | − | 0.260177i | ||||
\(961\) | 9.92655 | + | 17.1933i | 0.320211 | + | 0.554622i | ||||
\(962\) | 5.89689 | − | 10.2137i | 0.190123 | − | 0.329303i | ||||
\(963\) | 1.27301 | − | 0.191875i | 0.0410222 | − | 0.00618310i | ||||
\(964\) | 13.4088 | − | 12.4415i | 0.431868 | − | 0.400715i | ||||
\(965\) | −67.6984 | − | 32.6018i | −2.17929 | − | 1.04949i | ||||
\(966\) | 50.0779 | + | 3.80652i | 1.61123 | + | 0.122473i | ||||
\(967\) | −2.56710 | + | 1.23625i | −0.0825523 | + | 0.0397551i | −0.474704 | − | 0.880145i | \(-0.657445\pi\) |
0.392152 | + | 0.919900i | \(0.371731\pi\) | |||||||
\(968\) | 6.36457 | − | 16.2167i | 0.204565 | − | 0.521223i | ||||
\(969\) | −3.82224 | + | 51.0043i | −0.122788 | + | 1.63849i | ||||
\(970\) | 89.1668 | + | 27.5043i | 2.86297 | + | 0.883110i | ||||
\(971\) | 3.07578 | + | 41.0434i | 0.0987064 | + | 1.31715i | 0.798150 | + | 0.602458i | \(0.205812\pi\) |
−0.699444 | + | 0.714687i | \(0.746569\pi\) | |||||||
\(972\) | −1.11770 | + | 4.89694i | −0.0358501 | + | 0.157070i | ||||
\(973\) | 45.7978 | + | 18.0307i | 1.46821 | + | 0.578037i | ||||
\(974\) | −9.53586 | − | 41.7794i | −0.305549 | − | 1.33870i | ||||
\(975\) | −12.0246 | + | 3.70910i | −0.385096 | + | 0.118786i | ||||
\(976\) | 12.5935 | + | 32.0877i | 0.403108 | + | 1.02710i | ||||
\(977\) | 16.8779 | + | 15.6604i | 0.539970 | + | 0.501019i | 0.902346 | − | 0.431013i | \(-0.141844\pi\) |
−0.362375 | + | 0.932032i | \(0.618034\pi\) | |||||||
\(978\) | 32.4710 | + | 22.1383i | 1.03831 | + | 0.707906i | ||||
\(979\) | 5.47593 | 0.175011 | ||||||||
\(980\) | −8.11108 | − | 20.7970i | −0.259099 | − | 0.664335i | ||||
\(981\) | 2.95325 | 0.0942899 | ||||||||
\(982\) | 26.5043 | + | 18.0703i | 0.845785 | + | 0.576646i | ||||
\(983\) | −13.7176 | − | 12.7281i | −0.437525 | − | 0.405964i | 0.430417 | − | 0.902630i | \(-0.358367\pi\) |
−0.867941 | + | 0.496667i | \(0.834557\pi\) | |||||||
\(984\) | 11.9633 | + | 30.4820i | 0.381377 | + | 0.971732i | ||||
\(985\) | −75.9390 | + | 23.4241i | −2.41962 | + | 0.746353i | ||||
\(986\) | −15.2278 | − | 66.7175i | −0.484953 | − | 2.12472i | ||||
\(987\) | 32.3494 | − | 2.38958i | 1.02969 | − | 0.0760610i | ||||
\(988\) | −0.815204 | + | 3.57164i | −0.0259351 | + | 0.113629i | ||||
\(989\) | −0.0441252 | − | 0.588810i | −0.00140310 | − | 0.0187231i | ||||
\(990\) | 3.56061 | + | 1.09830i | 0.113164 | + | 0.0349064i | ||||
\(991\) | 2.51479 | − | 33.5575i | 0.0798848 | − | 1.06599i | −0.802870 | − | 0.596155i | \(-0.796695\pi\) |
0.882755 | − | 0.469834i | \(-0.155686\pi\) | |||||||
\(992\) | −5.97309 | + | 15.2192i | −0.189646 | + | 0.483209i | ||||
\(993\) | −37.8297 | + | 18.2178i | −1.20049 | + | 0.578125i | ||||
\(994\) | 7.42893 | + | 49.6468i | 0.235631 | + | 1.57470i | ||||
\(995\) | 79.1549 | + | 38.1190i | 2.50938 | + | 1.20845i | ||||
\(996\) | −9.86620 | + | 9.15449i | −0.312622 | + | 0.290071i | ||||
\(997\) | −28.8855 | + | 4.35378i | −0.914812 | + | 0.137886i | −0.589544 | − | 0.807736i | \(-0.700693\pi\) |
−0.325268 | + | 0.945622i | \(0.605454\pi\) | |||||||
\(998\) | 28.2818 | − | 48.9856i | 0.895246 | − | 1.55061i | ||||
\(999\) | 16.0058 | + | 27.7228i | 0.506400 | + | 0.877111i |
(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 | 637.2.bl.b.53.21 | ✓ | 348 | |
49.37 | even | 21 | inner | 637.2.bl.b.625.21 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.b.53.21 | ✓ | 348 | 1.1 | even | 1 | trivial | |
637.2.bl.b.625.21 | yes | 348 | 49.37 | even | 21 | inner |