Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(41,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 41.4 | ||
Character | \(\chi\) | \(=\) | 460.41 |
Dual form | 460.2.m.b.101.4 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.10811 | − | 1.27883i | 0.639768 | − | 0.738331i | −0.339566 | − | 0.940582i | \(-0.610280\pi\) |
0.979334 | + | 0.202251i | \(0.0648257\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.142315 | − | 0.989821i | 0.0636451 | − | 0.442662i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.08165 | − | 2.36848i | −0.408825 | − | 0.895202i | −0.996299 | − | 0.0859590i | \(-0.972605\pi\) |
0.587473 | − | 0.809243i | \(-0.300123\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.0194536 | + | 0.135303i | 0.00648452 | + | 0.0451009i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.24629 | − | 0.659569i | 0.677281 | − | 0.198868i | 0.0750382 | − | 0.997181i | \(-0.476092\pi\) |
0.602243 | + | 0.798313i | \(0.294274\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0828187 | + | 0.181348i | −0.0229698 | + | 0.0502968i | −0.920769 | − | 0.390108i | \(-0.872438\pi\) |
0.897799 | + | 0.440405i | \(0.145165\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.10811 | − | 1.27883i | −0.286113 | − | 0.330192i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.73736 | − | 3.04452i | 1.14898 | − | 0.738404i | 0.179544 | − | 0.983750i | \(-0.442538\pi\) |
0.969436 | + | 0.245345i | \(0.0789014\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.46583 | − | 4.15533i | −1.48336 | − | 0.953299i | −0.996824 | − | 0.0796402i | \(-0.974623\pi\) |
−0.486539 | − | 0.873659i | \(-0.661741\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.22747 | − | 1.24130i | −0.922509 | − | 0.270873i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.17241 | − | 3.59664i | −0.661493 | − | 0.749951i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.46512 | + | 2.86956i | 0.859312 | + | 0.552247i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.94239 | + | 1.89096i | −0.546388 | + | 0.351142i | −0.784533 | − | 0.620088i | \(-0.787097\pi\) |
0.238145 | + | 0.971230i | \(0.423461\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.81264 | + | 6.70814i | 1.04398 | + | 1.20482i | 0.978346 | + | 0.206974i | \(0.0663616\pi\) |
0.0656341 | + | 0.997844i | \(0.479093\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.64566 | − | 3.60349i | 0.286472 | − | 0.627287i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.49831 | + | 0.733570i | −0.422292 | + | 0.123996i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.334267 | + | 2.32488i | 0.0549531 | + | 0.382208i | 0.998675 | + | 0.0514666i | \(0.0163896\pi\) |
−0.943722 | + | 0.330741i | \(0.892701\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.140140 | + | 0.306864i | 0.0224404 | + | 0.0491376i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.441676 | + | 3.07192i | −0.0689782 | + | 0.479754i | 0.925826 | + | 0.377949i | \(0.123371\pi\) |
−0.994804 | + | 0.101804i | \(0.967538\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.84355 | − | 5.58976i | 0.738635 | − | 0.852430i | −0.254780 | − | 0.966999i | \(-0.582003\pi\) |
0.993415 | + | 0.114569i | \(0.0365486\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.136694 | 0.0203771 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.38769 | −1.07761 | −0.538803 | − | 0.842432i | \(-0.681123\pi\) | ||||
−0.538803 | + | 0.842432i | \(0.681123\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.144279 | − | 0.166507i | 0.0206113 | − | 0.0237868i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.35611 | − | 9.43193i | 0.189893 | − | 1.32073i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.03449 | + | 4.45492i | 0.279459 | + | 0.611930i | 0.996360 | − | 0.0852449i | \(-0.0271673\pi\) |
−0.716901 | + | 0.697175i | \(0.754440\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.333176 | − | 2.31729i | −0.0449254 | − | 0.312463i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −12.4788 | + | 3.66411i | −1.65286 | + | 0.485323i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.971960 | − | 2.12830i | 0.126538 | − | 0.277081i | −0.835751 | − | 0.549109i | \(-0.814967\pi\) |
0.962289 | + | 0.272028i | \(0.0876945\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.18748 | + | 9.44886i | 1.04830 | + | 1.20980i | 0.977197 | + | 0.212333i | \(0.0681063\pi\) |
0.0711024 | + | 0.997469i | \(0.477348\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.299420 | − | 0.192426i | 0.0377234 | − | 0.0242433i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.167716 | + | 0.107784i | 0.0208026 | + | 0.0133690i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 15.5896 | + | 4.57753i | 1.90458 | + | 0.559235i | 0.986748 | + | 0.162261i | \(0.0518787\pi\) |
0.917830 | + | 0.396974i | \(0.129940\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −8.11486 | + | 0.0714895i | −0.976914 | + | 0.00860633i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.37919 | − | 1.28585i | −0.519714 | − | 0.152602i | 0.0113465 | − | 0.999936i | \(-0.496388\pi\) |
−0.531061 | + | 0.847334i | \(0.678206\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.560221 | + | 0.360032i | 0.0655690 | + | 0.0421386i | 0.573015 | − | 0.819545i | \(-0.305774\pi\) |
−0.507446 | + | 0.861684i | \(0.669410\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.42351 | + | 0.914835i | −0.164373 | + | 0.105636i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.99187 | − | 4.60687i | −0.454916 | − | 0.525001i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.95253 | − | 6.46514i | 0.332186 | − | 0.727385i | −0.667668 | − | 0.744459i | \(-0.732708\pi\) |
0.999854 | + | 0.0170734i | \(0.00543489\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.22404 | − | 2.41480i | 0.913782 | − | 0.268311i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.68937 | + | 11.7498i | 0.185433 | + | 1.28971i | 0.843653 | + | 0.536888i | \(0.180400\pi\) |
−0.658221 | + | 0.752825i | \(0.728691\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.33933 | − | 5.12243i | −0.253736 | − | 0.555605i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.842281 | + | 5.85819i | −0.0903020 | + | 0.628064i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.64231 | + | 7.66564i | −0.704084 | + | 0.812556i | −0.989298 | − | 0.145908i | \(-0.953390\pi\) |
0.285215 | + | 0.958464i | \(0.407935\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.519100 | 0.0544165 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 15.0196 | 1.55746 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −5.03322 | + | 5.80865i | −0.516398 | + | 0.595955i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.0541899 | + | 0.376899i | −0.00550215 | + | 0.0382683i | −0.992388 | − | 0.123154i | \(-0.960699\pi\) |
0.986885 | + | 0.161422i | \(0.0516082\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.132940 | + | 0.291097i | 0.0133609 | + | 0.0292564i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.32330 | + | 9.20375i | 0.131673 | + | 0.915807i | 0.943373 | + | 0.331733i | \(0.107633\pi\) |
−0.811700 | + | 0.584074i | \(0.801458\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.81119 | − | 1.99995i | 0.671127 | − | 0.197061i | 0.0716221 | − | 0.997432i | \(-0.477182\pi\) |
0.599505 | + | 0.800371i | \(0.295364\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.83029 | + | 4.00778i | −0.178618 | + | 0.391120i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.50448 | + | 5.19844i | 0.435464 | + | 0.502552i | 0.930486 | − | 0.366328i | \(-0.119385\pi\) |
−0.495022 | + | 0.868881i | \(0.664840\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −15.7820 | + | 10.1425i | −1.51164 | + | 0.971471i | −0.518431 | + | 0.855120i | \(0.673484\pi\) |
−0.993208 | + | 0.116352i | \(0.962880\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.34352 | + | 2.14875i | 0.317353 | + | 0.203950i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.69936 | + | 2.84799i | 0.912439 | + | 0.267916i | 0.704067 | − | 0.710133i | \(-0.251365\pi\) |
0.208372 | + | 0.978050i | \(0.433184\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.01151 | + | 2.62826i | −0.374075 | + | 0.245087i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.0261479 | − | 0.00767773i | −0.00241738 | − | 0.000709806i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −12.3351 | − | 7.92726i | −1.13075 | − | 0.726691i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.64302 | + | 2.98389i | −0.422092 | + | 0.271262i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.43903 | + | 3.96886i | 0.310087 | + | 0.357860i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.415415 | + | 0.909632i | −0.0371558 | + | 0.0813600i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.01293 | − | 2.64644i | 0.799769 | − | 0.234833i | 0.143786 | − | 0.989609i | \(-0.454072\pi\) |
0.655983 | + | 0.754776i | \(0.272254\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.78114 | − | 12.3881i | −0.156821 | − | 1.09071i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.67779 | − | 14.6223i | −0.583441 | − | 1.27756i | −0.939325 | − | 0.343028i | \(-0.888547\pi\) |
0.355884 | − | 0.934530i | \(-0.384180\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.84808 | + | 19.8088i | −0.246960 | + | 1.71764i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.47580 | − | 4.01129i | 0.299149 | − | 0.345237i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.91048 | 0.419531 | 0.209765 | − | 0.977752i | \(-0.432730\pi\) | ||||
0.209765 | + | 0.977752i | \(0.432730\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.895703 | −0.0759725 | −0.0379863 | − | 0.999278i | \(-0.512094\pi\) | ||||
−0.0379863 | + | 0.999278i | \(0.512094\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.18638 | + | 9.44758i | −0.689417 | + | 0.795630i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.0664232 | + | 0.461984i | −0.00555459 | + | 0.0386330i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.45296 | + | 3.18155i | 0.120662 | + | 0.264213i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.0530566 | − | 0.369017i | −0.00437604 | − | 0.0304360i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −14.7346 | + | 4.32648i | −1.20711 | + | 0.354439i | −0.822567 | − | 0.568668i | \(-0.807459\pi\) |
−0.384542 | + | 0.923108i | \(0.625641\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.04645 | − | 8.86048i | 0.329295 | − | 0.721056i | −0.670487 | − | 0.741921i | \(-0.733915\pi\) |
0.999782 | + | 0.0208654i | \(0.00664214\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.504090 | + | 0.581751i | 0.0407533 | + | 0.0470318i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.46709 | − | 4.79881i | 0.599771 | − | 0.385449i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.9041 | − | 8.93559i | −1.10966 | − | 0.713138i | −0.148444 | − | 0.988921i | \(-0.547427\pi\) |
−0.961220 | + | 0.275783i | \(0.911063\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 7.95151 | + | 2.33478i | 0.630596 | + | 0.185160i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.08715 | + | 11.4041i | −0.400923 | + | 0.898769i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.948713 | + | 0.278567i | 0.0743090 | + | 0.0218191i | 0.318676 | − | 0.947864i | \(-0.396762\pi\) |
−0.244367 | + | 0.969683i | \(0.578580\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −3.33261 | − | 2.14174i | −0.259443 | − | 0.166734i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −12.1537 | + | 7.81069i | −0.940480 | + | 0.604410i | −0.918531 | − | 0.395349i | \(-0.870624\pi\) |
−0.0219490 | + | 0.999759i | \(0.506987\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.48716 | + | 9.79471i | 0.652859 | + | 0.753439i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.436444 | − | 0.955679i | 0.0333757 | − | 0.0730826i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −16.2191 | + | 4.76235i | −1.23311 | + | 0.362075i | −0.832424 | − | 0.554139i | \(-0.813048\pi\) |
−0.400690 | + | 0.916214i | \(0.631229\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.370557 | + | 2.57728i | 0.0280115 | + | 0.194824i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.64468 | − | 3.60135i | −0.123622 | − | 0.270694i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.45633 | + | 17.0841i | −0.183594 | + | 1.27693i | 0.664583 | + | 0.747215i | \(0.268609\pi\) |
−0.848177 | + | 0.529713i | \(0.822300\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.02669 | − | 8.10924i | 0.522290 | − | 0.602755i | −0.431913 | − | 0.901915i | \(-0.642161\pi\) |
0.954203 | + | 0.299161i | \(0.0967066\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 21.1561 | 1.56390 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.34878 | 0.172686 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.63341 | − | 9.96348i | 0.631337 | − | 0.728602i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.96680 | − | 13.6794i | 0.143064 | − | 0.995031i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.26311 | − | 18.0937i | −0.597898 | − | 1.30921i | −0.930550 | − | 0.366164i | \(-0.880671\pi\) |
0.332653 | − | 0.943049i | \(-0.392056\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.31286 | − | 9.13113i | −0.0945016 | − | 0.657273i | −0.980923 | − | 0.194395i | \(-0.937726\pi\) |
0.886422 | − | 0.462878i | \(-0.153183\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.323685 | − | 0.0950424i | 0.0231795 | − | 0.00680613i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.93449 | − | 12.9947i | 0.422815 | − | 0.925835i | −0.571624 | − | 0.820516i | \(-0.693686\pi\) |
0.994438 | − | 0.105319i | \(-0.0335864\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.30993 | − | 3.81986i | −0.234635 | − | 0.270783i | 0.626206 | − | 0.779658i | \(-0.284607\pi\) |
−0.860840 | + | 0.508875i | \(0.830062\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 23.1289 | − | 14.8640i | 1.63139 | − | 1.04843i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 7.66133 | + | 4.92364i | 0.537720 | + | 0.345572i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.97780 | + | 0.874361i | 0.207979 | + | 0.0610680i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.424920 | − | 0.499203i | 0.0295340 | − | 0.0346970i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −17.2648 | − | 5.06941i | −1.19423 | − | 0.350659i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.19683 | − | 0.769153i | −0.0823929 | − | 0.0529507i | 0.498796 | − | 0.866720i | \(-0.333776\pi\) |
−0.581189 | + | 0.813769i | \(0.697412\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −6.49700 | + | 4.17537i | −0.445167 | + | 0.286091i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4.84355 | − | 5.58976i | −0.330328 | − | 0.381218i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.60088 | − | 21.0230i | 0.651750 | − | 1.42713i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.08121 | − | 0.317471i | 0.0730611 | − | 0.0214527i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.159774 | + | 1.11125i | 0.0107476 | + | 0.0747510i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.12299 | + | 4.64871i | 0.142166 | + | 0.311300i | 0.967299 | − | 0.253638i | \(-0.0816272\pi\) |
−0.825133 | + | 0.564938i | \(0.808900\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.0194536 | − | 0.135303i | 0.00129690 | − | 0.00902017i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −7.80344 | + | 9.00565i | −0.517933 | + | 0.597726i | −0.953112 | − | 0.302618i | \(-0.902139\pi\) |
0.435180 | + | 0.900344i | \(0.356685\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 15.4444 | 1.02060 | 0.510298 | − | 0.859998i | \(-0.329535\pi\) | ||||
0.510298 | + | 0.859998i | \(0.329535\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −10.3148 | −0.678666 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.8904 | − | 12.5682i | 0.713456 | − | 0.823372i | −0.277048 | − | 0.960856i | \(-0.589356\pi\) |
0.990504 | + | 0.137484i | \(0.0439015\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.05138 | + | 7.31250i | −0.0685844 | + | 0.477015i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −4.99607 | − | 10.9399i | −0.324530 | − | 0.710621i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.76071 | − | 19.2012i | −0.178576 | − | 1.24202i | −0.860062 | − | 0.510190i | \(-0.829575\pi\) |
0.681486 | − | 0.731831i | \(-0.261334\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.16055 | − | 2.68978i | 0.590083 | − | 0.173264i | 0.0269590 | − | 0.999637i | \(-0.491418\pi\) |
0.563124 | + | 0.826373i | \(0.309599\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.589657 | + | 1.29117i | −0.0378265 | + | 0.0828286i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.144279 | − | 0.166507i | −0.00921767 | − | 0.0106378i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.28905 | − | 0.828424i | 0.0820204 | − | 0.0527113i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 16.8980 | + | 10.8597i | 1.07087 | + | 0.688206i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.6191 | − | 3.11805i | −0.670272 | − | 0.196810i | −0.0711479 | − | 0.997466i | \(-0.522666\pi\) |
−0.599124 | + | 0.800656i | \(0.704484\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.49837 | − | 5.98666i | −0.597158 | − | 0.376378i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −9.14293 | − | 2.68461i | −0.572553 | − | 0.168117i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.45113 | − | 2.21790i | −0.215275 | − | 0.138349i | 0.428559 | − | 0.903514i | \(-0.359021\pi\) |
−0.643835 | + | 0.765164i | \(0.722658\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.14487 | − | 3.30641i | 0.319687 | − | 0.205450i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.313091 | − | 0.361327i | −0.0193799 | − | 0.0223656i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 8.24902 | − | 18.0628i | 0.508657 | − | 1.11380i | −0.464901 | − | 0.885363i | \(-0.653910\pi\) |
0.973558 | − | 0.228440i | \(-0.0733625\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.69911 | − | 1.37978i | 0.288664 | − | 0.0847595i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.44261 | + | 16.9887i | 0.149485 | + | 1.03969i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −7.43692 | − | 16.2846i | −0.453437 | − | 0.992889i | −0.988935 | − | 0.148352i | \(-0.952603\pi\) |
0.535497 | − | 0.844537i | \(-0.320124\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.91222 | + | 20.2550i | −0.176905 | + | 1.23040i | 0.686967 | + | 0.726689i | \(0.258942\pi\) |
−0.863872 | + | 0.503712i | \(0.831967\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.575220 | − | 0.663839i | 0.0348139 | − | 0.0401774i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.34112 | −0.141175 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.07429 | −0.304885 | −0.152442 | − | 0.988312i | \(-0.548714\pi\) | ||||
−0.152442 | + | 0.988312i | \(0.548714\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.794552 | + | 0.916962i | −0.0475686 | + | 0.0548971i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.43267 | − | 16.9196i | 0.145121 | − | 1.00934i | −0.778942 | − | 0.627097i | \(-0.784243\pi\) |
0.924062 | − | 0.382242i | \(-0.124848\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.6238 | − | 23.2628i | −0.631518 | − | 1.38283i | −0.906838 | − | 0.421479i | \(-0.861511\pi\) |
0.275320 | − | 0.961353i | \(-0.411216\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.85089 | + | 12.8732i | 0.109637 | + | 0.762545i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.75354 | − | 2.27664i | 0.457677 | − | 0.134386i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.11147 | − | 13.3823i | 0.359498 | − | 0.787192i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.421940 | + | 0.486945i | 0.0247346 | + | 0.0285452i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.51292 | + | 1.61496i | −0.146807 | + | 0.0943468i | −0.611982 | − | 0.790872i | \(-0.709628\pi\) |
0.465176 | + | 0.885218i | \(0.345991\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.96831 | − | 1.26496i | −0.114599 | − | 0.0736485i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 11.9226 | + | 3.50079i | 0.691820 | + | 0.203137i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.914978 | − | 0.277440i | 0.0529145 | − | 0.0160448i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −18.4783 | − | 5.42571i | −1.06507 | − | 0.312733i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 13.2364 | + | 8.50649i | 0.760409 | + | 0.488685i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 10.5179 | − | 6.75943i | 0.602252 | − | 0.387044i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.0835 | + | 11.6370i | 0.575497 | + | 0.664159i | 0.966631 | − | 0.256175i | \(-0.0824622\pi\) |
−0.391133 | + | 0.920334i | \(0.627917\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.98997 | − | 10.9265i | 0.283869 | − | 0.621587i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.5008 | + | 5.43232i | −1.04908 | + | 0.308039i | −0.760447 | − | 0.649400i | \(-0.775020\pi\) |
−0.288637 | + | 0.957439i | \(0.593202\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.57363 | + | 10.9448i | 0.0889468 | + | 0.618639i | 0.984722 | + | 0.174132i | \(0.0557120\pi\) |
−0.895775 | + | 0.444507i | \(0.853379\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.147855 | − | 0.323757i | −0.00833069 | − | 0.0182417i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.03471 | + | 14.1517i | −0.114281 | + | 0.794839i | 0.849394 | + | 0.527760i | \(0.176968\pi\) |
−0.963674 | + | 0.267080i | \(0.913941\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.36223 | + | 6.18834i | −0.300227 | + | 0.346481i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.6394 | 0.649646 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −43.2820 | −2.40827 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.130556 | − | 0.150669i | 0.00724192 | − | 0.00835762i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −4.51771 | + | 31.4214i | −0.249830 | + | 1.73761i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 7.99090 | + | 17.4976i | 0.440552 | + | 0.964675i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.05848 | + | 14.3170i | 0.113144 | + | 0.786935i | 0.964829 | + | 0.262880i | \(0.0846722\pi\) |
−0.851684 | + | 0.524055i | \(0.824419\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.308059 | + | 0.0904544i | −0.0168815 | + | 0.00495687i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 6.74958 | − | 14.7795i | 0.368769 | − | 0.807491i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.6829 | − | 14.6369i | −0.690883 | − | 0.797321i | 0.296608 | − | 0.954999i | \(-0.404145\pi\) |
−0.987491 | + | 0.157678i | \(0.949599\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 14.3900 | − | 9.24792i | 0.781560 | − | 0.502278i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 17.4813 | + | 11.2346i | 0.946667 | + | 0.608386i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.0386 | − | 5.29661i | −0.973993 | − | 0.285990i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.08410 | + | 8.04243i | −0.0583661 | + | 0.432990i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −5.29642 | − | 1.55517i | −0.284327 | − | 0.0834858i | 0.136460 | − | 0.990646i | \(-0.456428\pi\) |
−0.420786 | + | 0.907160i | \(0.638246\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.19680 | + | 3.98244i | 0.331707 | + | 0.213175i | 0.695883 | − | 0.718155i | \(-0.255013\pi\) |
−0.364176 | + | 0.931330i | \(0.618649\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.890183 | + | 0.572086i | −0.0475145 | + | 0.0305357i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 2.24659 | + | 2.59271i | 0.119574 | + | 0.137996i | 0.812380 | − | 0.583128i | \(-0.198171\pi\) |
−0.692806 | + | 0.721124i | \(0.743626\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.89598 | + | 4.15162i | −0.100628 | + | 0.220345i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −23.8062 | + | 6.99013i | −1.25996 | + | 0.369957i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.24244 | + | 15.5965i | 0.118351 | + | 0.823152i | 0.959371 | + | 0.282147i | \(0.0910467\pi\) |
−0.841020 | + | 0.541004i | \(0.818044\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.6472 | + | 36.4523i | 0.876170 | + | 1.91854i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.32910 | + | 9.24409i | −0.0697596 | + | 0.485189i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.436096 | − | 0.503281i | 0.0228263 | − | 0.0263429i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.2711 | −0.692748 | −0.346374 | − | 0.938097i | \(-0.612587\pi\) | ||||
−0.346374 | + | 0.938097i | \(0.612587\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.424231 | −0.0220846 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.35079 | − | 9.63733i | 0.433552 | − | 0.500345i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.45507 | − | 24.0305i | 0.178897 | − | 1.24425i | −0.680425 | − | 0.732818i | \(-0.738205\pi\) |
0.859322 | − | 0.511435i | \(-0.170886\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.702936 | + | 1.53922i | 0.0362995 | + | 0.0794848i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.0992361 | − | 0.690202i | −0.00511092 | − | 0.0355472i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.1545 | + | 8.85417i | −1.54893 | + | 0.454808i | −0.940782 | − | 0.339012i | \(-0.889907\pi\) |
−0.608152 | + | 0.793820i | \(0.708089\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.60299 | − | 14.4585i | 0.338281 | − | 0.740733i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.97646 | − | 5.74314i | −0.254285 | − | 0.293461i | 0.614226 | − | 0.789130i | \(-0.289468\pi\) |
−0.868511 | + | 0.495669i | \(0.834923\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.12808 | + | 3.29562i | −0.261351 | + | 0.167960i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.850533 | + | 0.546605i | 0.0432350 | + | 0.0277855i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 16.9810 | + | 4.98608i | 0.860973 | + | 0.252804i | 0.682271 | − | 0.731099i | \(-0.260992\pi\) |
0.178701 | + | 0.983903i | \(0.442810\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −25.9789 | − | 7.38014i | −1.31381 | − | 0.373230i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −26.0991 | − | 7.66340i | −1.31653 | − | 0.386567i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −5.97915 | − | 3.84256i | −0.300844 | − | 0.193340i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.05037 | − | 5.81632i | 0.454225 | − | 0.291913i | −0.293454 | − | 0.955973i | \(-0.594805\pi\) |
0.747679 | + | 0.664061i | \(0.231168\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 22.1761 | + | 25.5925i | 1.11019 | + | 1.28123i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0.464661 | − | 1.01747i | 0.0232041 | − | 0.0508098i | −0.897675 | − | 0.440658i | \(-0.854745\pi\) |
0.920879 | + | 0.389848i | \(0.127472\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.69790 | + | 0.498549i | −0.0845785 | + | 0.0248345i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.21981 | − | 8.48399i | −0.0606130 | − | 0.421573i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.28428 | + | 5.00187i | 0.113227 | + | 0.247933i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.533583 | + | 3.71115i | −0.0263840 | + | 0.183505i | −0.998752 | − | 0.0499497i | \(-0.984094\pi\) |
0.972368 | + | 0.233454i | \(0.0750030\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.44135 | − | 6.27966i | 0.268402 | − | 0.309753i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −6.09215 | −0.299775 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.8707 | 0.582708 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.992537 | + | 1.14545i | −0.0486048 | + | 0.0560929i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.51237 | + | 17.4739i | −0.122737 | + | 0.853658i | 0.831695 | + | 0.555232i | \(0.187371\pi\) |
−0.954433 | + | 0.298426i | \(0.903539\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.1461 | + | 30.9756i | 0.689438 | + | 1.50966i | 0.852324 | + | 0.523013i | \(0.175192\pi\) |
−0.162887 | + | 0.986645i | \(0.552080\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.143717 | − | 0.999574i | −0.00698776 | − | 0.0486009i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −5.40321 | + | 1.58653i | −0.262094 | + | 0.0769578i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 13.5235 | − | 29.6123i | 0.654447 | − | 1.43304i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.517193 | + | 0.596873i | 0.0249703 | + | 0.0288173i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −18.5009 | + | 11.8898i | −0.891158 | + | 0.572713i | −0.904156 | − | 0.427203i | \(-0.859499\pi\) |
0.0129975 | + | 0.999916i | \(0.495863\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.18622 | + | 4.61830i | 0.345348 | + | 0.221941i | 0.701803 | − | 0.712371i | \(-0.252379\pi\) |
−0.356456 | + | 0.934312i | \(0.616015\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 5.67870 | + | 1.66742i | 0.272273 | + | 0.0799465i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 5.56700 | + | 36.4377i | 0.266306 | + | 1.74305i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 31.7804 | + | 9.33157i | 1.51680 | + | 0.445371i | 0.930979 | − | 0.365072i | \(-0.118956\pi\) |
0.585817 | + | 0.810444i | \(0.300774\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.0253356 | + | 0.0162822i | 0.00120646 | + | 0.000775344i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −29.1613 | + | 18.7409i | −1.38550 | + | 0.890405i | −0.999485 | − | 0.0320889i | \(-0.989784\pi\) |
−0.386012 | + | 0.922494i | \(0.626148\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.64231 | + | 7.66564i | 0.314876 | + | 0.363386i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −10.7948 | + | 23.6373i | −0.510576 | + | 1.11800i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 38.2267 | − | 11.2244i | 1.80403 | − | 0.529710i | 0.805967 | − | 0.591960i | \(-0.201646\pi\) |
0.998061 | + | 0.0622499i | \(0.0198276\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.03402 | + | 7.19174i | 0.0486899 | + | 0.338646i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −6.84712 | − | 14.9931i | −0.321706 | − | 0.704437i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.0738756 | − | 0.513816i | 0.00346334 | − | 0.0240881i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 27.2211 | − | 31.4148i | 1.27335 | − | 1.46952i | 0.459802 | − | 0.888021i | \(-0.347920\pi\) |
0.813546 | − | 0.581501i | \(-0.197534\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 29.8893 | 1.39511 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3.28790 | 0.153133 | 0.0765664 | − | 0.997064i | \(-0.475604\pi\) | ||||
0.0765664 | + | 0.997064i | \(0.475604\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.64323 | + | 6.51264i | −0.262263 | + | 0.302668i | −0.871574 | − | 0.490263i | \(-0.836901\pi\) |
0.609311 | + | 0.792931i | \(0.291446\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.13751 | − | 14.8667i | 0.0991247 | − | 0.689427i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −12.8170 | − | 28.0654i | −0.593102 | − | 1.29871i | −0.933550 | − | 0.358448i | \(-0.883306\pi\) |
0.340448 | − | 0.940263i | \(-0.389421\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.02073 | − | 41.8751i | −0.278011 | − | 1.93361i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −26.8343 | + | 7.87926i | −1.23646 | + | 0.363057i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 7.19318 | − | 15.7509i | 0.330743 | − | 0.724225i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.03322 | + | 5.80865i | 0.230940 | + | 0.266519i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.563184 | + | 0.361936i | −0.0257864 | + | 0.0165719i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 28.7095 | + | 18.4505i | 1.31177 | + | 0.843025i | 0.994442 | − | 0.105290i | \(-0.0335770\pi\) |
0.317331 | + | 0.948315i | \(0.397213\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.449295 | − | 0.131925i | −0.0204861 | − | 0.00601526i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 8.94676 | + | 19.1426i | 0.407092 | + | 0.871018i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.365351 | + | 0.107277i | 0.0165897 | + | 0.00487118i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.40852 | + | 4.76117i | 0.335712 | + | 0.215749i | 0.697625 | − | 0.716463i | \(-0.254240\pi\) |
−0.361913 | + | 0.932212i | \(0.617876\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1.40752 | − | 0.904557i | 0.0636502 | − | 0.0409055i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −14.2720 | − | 16.4707i | −0.644085 | − | 0.743314i | 0.336007 | − | 0.941860i | \(-0.390924\pi\) |
−0.980092 | + | 0.198546i | \(0.936378\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.18210 | + | 17.9163i | −0.368503 | + | 0.806910i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.307054 | − | 0.0901591i | 0.0138010 | − | 0.00405235i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.69125 | + | 11.7629i | 0.0758627 | + | 0.527637i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.27590 | − | 9.36292i | −0.191416 | − | 0.419142i | 0.789453 | − | 0.613811i | \(-0.210364\pi\) |
−0.980869 | + | 0.194669i | \(0.937637\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.47908 | + | 24.1976i | −0.155434 | + | 1.08107i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.28717 | + | 1.48547i | −0.0573921 | + | 0.0662340i | −0.783720 | − | 0.621115i | \(-0.786680\pi\) |
0.726328 | + | 0.687349i | \(0.241226\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.29839 | 0.413773 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 21.9304 | 0.973965 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −27.7588 | + | 32.0353i | −1.23039 | + | 1.41994i | −0.356158 | + | 0.934426i | \(0.615913\pi\) |
−0.874228 | + | 0.485515i | \(0.838632\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.246767 | − | 1.71630i | 0.0109163 | − | 0.0759248i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −16.9467 | − | 37.1081i | −0.748216 | − | 1.63836i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.01026 | − | 7.02649i | −0.0445172 | − | 0.309624i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.5949 | + | 4.87270i | −0.729842 | + | 0.214301i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −11.8823 | + | 26.0186i | −0.521575 | + | 1.14209i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.16119 | − | 8.26445i | −0.313737 | − | 0.362072i | 0.576877 | − | 0.816831i | \(-0.304271\pi\) |
−0.890615 | + | 0.454758i | \(0.849726\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.319343 | − | 0.205229i | 0.0139639 | − | 0.00897404i | −0.533640 | − | 0.845712i | \(-0.679176\pi\) |
0.547604 | + | 0.836738i | \(0.315540\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3.70651 | + | 2.38203i | 0.161765 | + | 0.103960i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 47.9597 | + | 14.0822i | 2.08916 | + | 0.613431i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.87164 | + | 22.8200i | −0.124854 | + | 0.992175i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.306872 | + | 0.0901058i | 0.0133171 | + | 0.00391026i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.520507 | − | 0.334510i | −0.0225457 | − | 0.0144892i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.78658 | − | 3.71881i | 0.250176 | − | 0.160778i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 19.1258 | + | 22.0723i | 0.825337 | + | 0.952490i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.214270 | − | 0.469185i | 0.00922925 | − | 0.0202092i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −39.2338 | + | 11.5201i | −1.68679 | + | 0.495287i | −0.977731 | − | 0.209861i | \(-0.932699\pi\) |
−0.709060 | + | 0.705148i | \(0.750881\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.58396 | − | 17.9719i | −0.110888 | − | 0.771246i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 7.79321 | + | 17.0648i | 0.333825 | + | 0.730974i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.00520 | − | 6.99134i | 0.0429794 | − | 0.298928i | −0.956982 | − | 0.290147i | \(-0.906296\pi\) |
0.999961 | − | 0.00878105i | \(-0.00279513\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.11918 | + | 1.29160i | −0.0477654 | + | 0.0551242i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 26.8825 | 1.14523 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −18.5062 | −0.786963 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.60271 | − | 3.00369i | 0.110479 | − | 0.127500i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.53877 | − | 17.6575i | 0.107571 | − | 0.748173i | −0.862624 | − | 0.505846i | \(-0.831180\pi\) |
0.970195 | − | 0.242327i | \(-0.0779106\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.612553 | + | 1.34130i | 0.0259082 | + | 0.0567311i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.17481 | − | 22.0813i | −0.134040 | − | 0.932272i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −28.5341 | + | 8.37836i | −1.20257 | + | 0.353106i | −0.820834 | − | 0.571166i | \(-0.806491\pi\) |
−0.381734 | + | 0.924272i | \(0.624673\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.19936 | − | 9.19532i | 0.176669 | − | 0.386850i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −14.6149 | − | 16.8665i | −0.613769 | − | 0.708328i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.07603 | + | 4.54749i | −0.296643 | + | 0.190641i | −0.680493 | − | 0.732755i | \(-0.738234\pi\) |
0.383850 | + | 0.923395i | \(0.374598\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.9857 | + | 10.2734i | 0.668979 | + | 0.429927i | 0.830557 | − | 0.556933i | \(-0.188022\pi\) |
−0.161578 | + | 0.986860i | \(0.551658\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −32.2951 | − | 9.48270i | −1.34915 | − | 0.396146i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.03061 | + | 4.34472i | 0.0846824 | + | 0.181187i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −45.9117 | − | 13.4809i | −1.91133 | − | 0.561216i | −0.980809 | − | 0.194970i | \(-0.937539\pi\) |
−0.930518 | − | 0.366246i | \(-0.880643\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −13.1319 | − | 8.43938i | −0.545744 | − | 0.350729i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 26.0020 | − | 16.7105i | 1.07875 | − | 0.693267i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.50838 | + | 8.66514i | 0.310965 | + | 0.358873i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.0113208 | + | 0.0247891i | −0.000468058 | + | 0.00102490i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −40.1871 | + | 11.8000i | −1.65870 | + | 0.487038i | −0.971025 | − | 0.238980i | \(-0.923187\pi\) |
−0.687676 | + | 0.726018i | \(0.741369\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −9.70894 | − | 67.5271i | −0.400050 | − | 2.78241i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −10.0419 | − | 21.9888i | −0.413070 | − | 0.904496i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −0.710815 | + | 4.94382i | −0.0291897 | + | 0.203019i | −0.999197 | − | 0.0400552i | \(-0.987247\pi\) |
0.970008 | + | 0.243074i | \(0.0781557\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.60204 | + | 11.0813i | −0.393645 | + | 0.454291i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −8.55271 | −0.350039 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 21.4500 | 0.876422 | 0.438211 | − | 0.898872i | \(-0.355612\pi\) | ||||
0.438211 | + | 0.898872i | \(0.355612\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.2482 | + | 16.4433i | −0.581196 | + | 0.670736i | −0.967861 | − | 0.251484i | \(-0.919081\pi\) |
0.386666 | + | 0.922220i | \(0.373627\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.316078 | + | 2.19837i | −0.0128717 | + | 0.0895245i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 2.29274 | + | 5.02041i | 0.0932133 | + | 0.204109i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.801196 | − | 5.57244i | −0.0325195 | − | 0.226178i | 0.967080 | − | 0.254472i | \(-0.0819017\pi\) |
−0.999600 | + | 0.0282938i | \(0.990993\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 14.7861 | − | 4.34159i | 0.599162 | − | 0.175930i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.611839 | − | 1.33974i | 0.0247524 | − | 0.0542001i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 27.7501 | + | 32.0253i | 1.12082 | + | 1.29349i | 0.951404 | + | 0.307946i | \(0.0996417\pi\) |
0.169413 | + | 0.985545i | \(0.445813\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.41788 | − | 2.83920i | 0.178146 | − | 0.114488i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −26.1711 | − | 16.8191i | −1.05361 | − | 0.677113i | −0.105293 | − | 0.994441i | \(-0.533578\pi\) |
−0.948316 | + | 0.317328i | \(0.897214\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 31.9525 | + | 9.38211i | 1.28428 | + | 0.377099i | 0.851478 | − | 0.524390i | \(-0.175707\pi\) |
0.432802 | + | 0.901489i | \(0.357525\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.84442 | − | 25.1628i | −0.154271 | − | 1.00975i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 25.3406 | + | 7.44067i | 1.01525 | + | 0.298104i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −25.6142 | + | 16.4613i | −1.02293 | + | 0.657400i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 8.66168 | + | 9.99611i | 0.345364 | + | 0.398571i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.49910 | − | 12.0413i | 0.218916 | − | 0.479358i | −0.768030 | − | 0.640414i | \(-0.778763\pi\) |
0.986945 | + | 0.161056i | \(0.0514899\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.30983 | + | 0.678227i | −0.0918075 | + | 0.0269571i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.33683 | − | 9.29782i | −0.0530503 | − | 0.368973i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.0182467 | + | 0.0399547i | 0.000722960 | + | 0.00158306i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.0887874 | − | 0.617530i | 0.00351238 | − | 0.0244291i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 20.5288 | − | 23.6915i | 0.810840 | − | 0.935759i | −0.188083 | − | 0.982153i | \(-0.560228\pi\) |
0.998923 | + | 0.0463941i | \(0.0147730\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.4669 | −0.609954 | −0.304977 | − | 0.952360i | \(-0.598649\pi\) | ||||
−0.304977 | + | 0.952360i | \(0.598649\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −12.5155 | −0.492798 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 14.7374 | − | 17.0078i | 0.579386 | − | 0.668647i | −0.388087 | − | 0.921623i | \(-0.626864\pi\) |
0.967473 | + | 0.252976i | \(0.0814093\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.779543 | − | 5.42184i | 0.0305997 | − | 0.212826i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −16.2459 | − | 35.5737i | −0.636729 | − | 1.39424i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.63752 | + | 18.3443i | 0.103214 | + | 0.717870i | 0.974056 | + | 0.226307i | \(0.0726652\pi\) |
−0.870842 | + | 0.491563i | \(0.836426\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −15.4238 | + | 4.52885i | −0.602659 | + | 0.176957i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.0378150 | + | 0.0828033i | −0.00147530 | + | 0.00323047i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.6221 | − | 15.7207i | −0.530640 | − | 0.612391i | 0.425623 | − | 0.904901i | \(-0.360055\pi\) |
−0.956263 | + | 0.292510i | \(0.905510\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −21.3773 | + | 13.7383i | −0.831479 | + | 0.534359i | −0.885747 | − | 0.464167i | \(-0.846354\pi\) |
0.0542688 | + | 0.998526i | \(0.482717\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.59815 | + | 1.02707i | 0.0620670 | + | 0.0398880i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 19.2019 | + | 5.63818i | 0.744617 | + | 0.218639i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 16.1355 | + | 4.58382i | 0.624771 | + | 0.177486i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 8.29740 | + | 2.43634i | 0.320796 | + | 0.0941942i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 24.6236 | + | 15.8246i | 0.950584 | + | 0.610903i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 24.1297 | − | 15.5072i | 0.930130 | − | 0.597758i | 0.0145502 | − | 0.999894i | \(-0.495368\pi\) |
0.915580 | + | 0.402136i | \(0.131732\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.47580 | − | 4.01129i | −0.133784 | − | 0.154395i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −4.96598 | + | 10.8740i | −0.190858 | + | 0.417921i | −0.980735 | − | 0.195345i | \(-0.937417\pi\) |
0.789876 | + | 0.613266i | \(0.210145\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.951294 | − | 0.279325i | 0.0365073 | − | 0.0107195i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.86960 | + | 19.9585i | 0.109963 | + | 0.764811i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 15.6880 | + | 34.3520i | 0.600286 | + | 1.31444i | 0.929023 | + | 0.370022i | \(0.120650\pi\) |
−0.328737 | + | 0.944421i | \(0.606623\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.698834 | − | 4.86050i | 0.0267011 | − | 0.185710i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 17.1141 | − | 19.7507i | 0.652944 | − | 0.753537i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.976384 | −0.0371973 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −33.4709 | −1.27329 | −0.636646 | − | 0.771156i | \(-0.719679\pi\) | ||||
−0.636646 | + | 0.771156i | \(0.719679\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.545665 | − | 0.629731i | 0.0207281 | − | 0.0239215i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.127472 | + | 0.886586i | −0.00483528 | + | 0.0336301i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.26015 | + | 15.8975i | 0.274998 | + | 0.602161i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −4.00480 | − | 27.8540i | −0.151475 | − | 1.05353i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.99992 | + | 0.587228i | −0.0755358 | + | 0.0221793i | −0.319282 | − | 0.947660i | \(-0.603442\pi\) |
0.243746 | + | 0.969839i | \(0.421624\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.49933 | − | 16.4212i | 0.282843 | − | 0.619339i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 8.18638 | + | 9.44758i | 0.308317 | + | 0.355816i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 20.3676 | − | 13.0894i | 0.766001 | − | 0.492279i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.871848 | + | 0.560302i | 0.0327429 | + | 0.0210426i | 0.556910 | − | 0.830573i | \(-0.311987\pi\) |
−0.524167 | + | 0.851616i | \(0.675623\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.932188 | + | 0.273715i | 0.0349598 | + | 0.0102651i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 5.68671 | − | 42.1869i | 0.212969 | − | 1.57991i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.447828 | + | 0.131494i | 0.0167478 | + | 0.00491761i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −27.6142 | − | 17.7465i | −1.03127 | − | 0.662757i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 38.6160 | − | 24.8170i | 1.44013 | − | 0.925518i | 0.440520 | − | 0.897743i | \(-0.354794\pi\) |
0.999614 | − | 0.0277750i | \(-0.00884219\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −12.1042 | − | 13.9690i | −0.450783 | − | 0.520231i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 6.71113 | − | 14.6953i | 0.249590 | − | 0.546525i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.35594 | − | 0.985394i | 0.124637 | − | 0.0365966i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.645510 | − | 4.48962i | −0.0239406 | − | 0.166511i | 0.974344 | − | 0.225066i | \(-0.0722597\pi\) |
−0.998284 | + | 0.0585552i | \(0.981351\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 11.6796 | + | 25.5748i | 0.432579 | + | 0.947216i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.92755 | − | 41.2270i | 0.219238 | − | 1.52484i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 16.9580 | − | 19.5706i | 0.626357 | − | 0.722855i | −0.350544 | − | 0.936546i | \(-0.614003\pi\) |
0.976901 | + | 0.213691i | \(0.0685487\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.372811 | −0.0137514 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 38.0380 | 1.40115 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.43763 | + | 10.8916i | −0.347169 | + | 0.400654i | −0.902300 | − | 0.431109i | \(-0.858123\pi\) |
0.555131 | + | 0.831763i | \(0.312668\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.369001 | − | 2.56646i | 0.0135556 | − | 0.0942812i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −21.9683 | − | 48.1040i | −0.805940 | − | 1.76476i | −0.623953 | − | 0.781462i | \(-0.714474\pi\) |
−0.181987 | − | 0.983301i | \(-0.558253\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.18549 | + | 15.2004i | 0.0800700 | + | 0.556899i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.55692 | + | 0.457153i | −0.0569647 | + | 0.0167264i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 7.44016 | − | 16.2917i | 0.271857 | − | 0.595285i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.04273 | + | 2.35744i | 0.0745404 | + | 0.0860242i | 0.791795 | − | 0.610787i | \(-0.209147\pi\) |
−0.717254 | + | 0.696811i | \(0.754601\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −15.7546 | + | 10.1249i | −0.574129 | + | 0.368970i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −8.19442 | − | 5.26624i | −0.298226 | − | 0.191658i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.5639 | − | 6.03811i | −0.747408 | − | 0.219459i | −0.114218 | − | 0.993456i | \(-0.536436\pi\) |
−0.633189 | + | 0.773997i | \(0.718255\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −18.1811 | + | 5.51290i | −0.659934 | + | 0.200106i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −21.8145 | − | 6.40533i | −0.790777 | − | 0.232193i | −0.138688 | − | 0.990336i | \(-0.544289\pi\) |
−0.652088 | + | 0.758143i | \(0.726107\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 41.0928 | + | 26.4087i | 1.48766 | + | 0.956061i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.647569 | − | 0.416167i | 0.0234129 | − | 0.0150466i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.305465 | + | 0.352526i | 0.0110297 | + | 0.0127290i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.80845 | − | 21.4775i | 0.353702 | − | 0.774498i | −0.646234 | − | 0.763139i | \(-0.723657\pi\) |
0.999935 | − | 0.0113591i | \(-0.00361578\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.66054 | + | 1.95571i | −0.239874 | + | 0.0704333i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 3.05022 | + | 21.2147i | 0.109709 | + | 0.763040i | 0.968194 | + | 0.250202i | \(0.0804970\pi\) |
−0.858485 | + | 0.512839i | \(0.828594\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.68728 | − | 8.07402i | −0.132451 | − | 0.290028i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.47276 | − | 10.2433i | 0.0528350 | − | 0.367475i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 15.6207 | − | 18.0272i | 0.559669 | − | 0.645892i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.6850 | −0.382340 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −18.5643 | −0.663435 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.8234 | + | 12.4909i | −0.386304 | + | 0.445818i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 5.68359 | − | 39.5303i | 0.202598 | − | 1.40910i | −0.593938 | − | 0.804511i | \(-0.702428\pi\) |
0.796536 | − | 0.604591i | \(-0.206663\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −13.9584 | − | 30.5647i | −0.496933 | − | 1.08813i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.74590 | − | 26.0533i | −0.133189 | − | 0.926348i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.39161 | + | 0.702239i | −0.0849284 | + | 0.0249372i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 3.44263 | − | 7.53831i | 0.122097 | − | 0.267356i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 20.3637 | + | 23.5009i | 0.721318 | + | 0.832445i | 0.991465 | − | 0.130374i | \(-0.0416179\pi\) |
−0.270147 | + | 0.962819i | \(0.587072\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −34.9982 | + | 22.4920i | −1.23815 | + | 0.795709i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.16640 | − | 0.749598i | −0.0412126 | − | 0.0264857i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.49588 | + | 0.439231i | 0.0527886 | + | 0.0155001i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.5640 | + | 6.65834i | 0.372334 | + | 0.234676i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −29.0661 | − | 8.53458i | −1.02318 | − | 0.300431i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 31.7897 | + | 20.4300i | 1.11767 | + | 0.718280i | 0.962950 | − | 0.269679i | \(-0.0869176\pi\) |
0.154715 | + | 0.987959i | \(0.450554\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 10.4868 | − | 6.73948i | 0.368243 | − | 0.236655i | −0.343412 | − | 0.939185i | \(-0.611583\pi\) |
0.711654 | + | 0.702530i | \(0.247946\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 22.6755 | + | 26.1690i | 0.795265 | + | 0.917785i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.410748 | − | 0.899413i | 0.0143879 | − | 0.0315050i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −54.5449 | + | 16.0158i | −1.90828 | + | 0.560323i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.0100984 | + | 0.0702356i | 0.000352865 | + | 0.00245423i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 15.9328 | + | 34.8880i | 0.556060 | + | 1.21760i | 0.953894 | + | 0.300144i | \(0.0970347\pi\) |
−0.397834 | + | 0.917457i | \(0.630238\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.81064 | + | 26.5036i | −0.132830 | + | 0.923856i | 0.809010 | + | 0.587795i | \(0.200004\pi\) |
−0.941840 | + | 0.336061i | \(0.890905\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.59422 | + | 2.99389i | −0.0903190 | + | 0.104234i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 41.5456 | 1.44468 | 0.722341 | − | 0.691537i | \(-0.243066\pi\) | ||||
0.722341 | + | 0.691537i | \(0.243066\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.2897 | 0.704691 | 0.352346 | − | 0.935870i | \(-0.385384\pi\) | ||||
0.352346 | + | 0.935870i | \(0.385384\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −5.62287 | + | 6.48914i | −0.195055 | + | 0.225106i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.176569 | − | 1.22807i | 0.00611777 | − | 0.0425500i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.00154 | + | 13.1415i | 0.207692 | + | 0.454782i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.70472 | + | 46.6323i | 0.231749 | + | 1.61185i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −44.2738 | + | 13.0000i | −1.52850 | + | 0.448809i | −0.934592 | − | 0.355723i | \(-0.884235\pi\) |
−0.593910 | + | 0.804531i | \(0.702417\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.96511 | + | 15.2515i | −0.240176 | + | 0.525913i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −18.9416 | − | 21.8597i | −0.652382 | − | 0.752889i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 10.9029 | − | 7.00684i | 0.375070 | − | 0.241043i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 12.0894 | + | 7.76939i | 0.415397 | + | 0.266959i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −41.5214 | − | 12.1918i | −1.42501 | − | 0.418421i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 7.30132 | − | 8.57770i | 0.250286 | − | 0.294040i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −37.0059 | − | 10.8659i | −1.26706 | − | 0.372042i | −0.421941 | − | 0.906623i | \(-0.638651\pi\) |
−0.845117 | + | 0.534581i | \(0.820469\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.883839 | − | 0.568009i | −0.0302267 | − | 0.0194255i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −10.1876 | + | 6.54717i | −0.348001 | + | 0.223647i | −0.702951 | − | 0.711239i | \(-0.748135\pi\) |
0.354949 | + | 0.934886i | \(0.384498\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.3735 | + | 23.5123i | 0.695135 | + | 0.802228i | 0.988087 | − | 0.153899i | \(-0.0491831\pi\) |
−0.292952 | + | 0.956127i | \(0.594638\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 5.68034 | − | 12.4382i | 0.193585 | − | 0.423893i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −0.222969 | + | 0.0654695i | −0.00758994 | + | 0.00222861i | −0.285525 | − | 0.958371i | \(-0.592168\pi\) |
0.277935 | + | 0.960600i | \(0.410350\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.40566 | + | 16.7317i | 0.0817950 | + | 0.568896i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −10.3414 | − | 22.6445i | −0.351213 | − | 0.769048i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.36802 | − | 16.4700i | 0.0803297 | − | 0.558705i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.12124 | + | 2.44804i | −0.0718755 | + | 0.0829487i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.0520496 | −0.00176161 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.60378 | 0.0880239 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 38.1226 | − | 43.9959i | 1.28731 | − | 1.48564i | 0.504445 | − | 0.863444i | \(-0.331697\pi\) |
0.782865 | − | 0.622191i | \(-0.213757\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.719343 | + | 5.00314i | −0.0242629 | + | 0.168752i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −18.9074 | − | 41.4014i | −0.637007 | − | 1.39485i | −0.902480 | − | 0.430732i | \(-0.858255\pi\) |
0.265473 | − | 0.964118i | \(-0.414472\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.912476 | + | 6.34641i | 0.0307073 | + | 0.213574i | 0.999398 | − | 0.0346973i | \(-0.0110467\pi\) |
−0.968691 | + | 0.248271i | \(0.920138\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −3.79876 | + | 1.11542i | −0.127694 | + | 0.0374943i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −9.66152 | + | 21.1558i | −0.324402 | + | 0.710342i | −0.999628 | − | 0.0272693i | \(-0.991319\pi\) |
0.675226 | + | 0.737611i | \(0.264046\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −16.0169 | − | 18.4845i | −0.537189 | − | 0.619949i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 16.8808 | − | 10.8486i | 0.565529 | − | 0.363443i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 47.7675 | + | 30.6983i | 1.59848 | + | 1.02728i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.5607 | + | 4.86265i | 0.553562 | + | 0.162540i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.659098 | − | 1.47753i | 0.0220066 | − | 0.0493334i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −29.7878 | − | 8.74650i | −0.993480 | − | 0.291712i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 23.2012 | + | 14.9105i | 0.772945 | + | 0.496742i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −27.4145 | + | 17.6182i | −0.912298 | + | 0.586298i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −7.02669 | − | 8.10924i | −0.233575 | − | 0.269560i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −21.9150 | + | 47.9872i | −0.727677 | + | 1.59339i | 0.0751457 | + | 0.997173i | \(0.476058\pi\) |
−0.802823 | + | 0.596218i | \(0.796669\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.21955 | + | 0.358092i | −0.0404498 | + | 0.0118771i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 3.66707 | + | 25.5050i | 0.121495 | + | 0.845019i | 0.955864 | + | 0.293811i | \(0.0949237\pi\) |
−0.834368 | + | 0.551208i | \(0.814167\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 11.5447 | + | 25.2793i | 0.382072 | + | 0.836622i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 3.01082 | − | 20.9407i | 0.0995348 | − | 0.692280i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −27.4097 | + | 31.6325i | −0.905148 | + | 1.04460i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.92575 | 0.228459 | 0.114230 | − | 0.993454i | \(-0.463560\pi\) | ||||
0.114230 | + | 0.993454i | \(0.463560\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 26.0554 | 0.858554 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.595864 | − | 0.687664i | 0.0196131 | − | 0.0226347i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.334267 | − | 2.32488i | 0.0109906 | − | 0.0764415i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.403100 | + | 0.882666i | 0.0132395 | + | 0.0289906i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 7.31024 | + | 50.8438i | 0.239841 | + | 1.66813i | 0.652913 | + | 0.757433i | \(0.273547\pi\) |
−0.413072 | + | 0.910699i | \(0.635544\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.62478 | + | 0.477078i | −0.0532500 | + | 0.0156356i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −13.5539 | + | 29.6789i | −0.443735 | + | 0.971645i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −8.63341 | − | 9.96348i | −0.282343 | − | 0.325841i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 36.5895 | − | 23.5147i | 1.19533 | − | 0.768191i | 0.217186 | − | 0.976130i | \(-0.430312\pi\) |
0.978142 | + | 0.207939i | \(0.0666757\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.7403 | + | 10.1157i | 0.513666 | + | 0.330113i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 32.1318 | + | 9.43474i | 1.04747 | + | 0.307564i | 0.759793 | − | 0.650165i | \(-0.225300\pi\) |
0.287673 | + | 0.957729i | \(0.407118\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 12.4498 | − | 8.15685i | 0.405421 | − | 0.265624i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −13.2603 | − | 3.89357i | −0.431357 | − | 0.126658i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0.901818 | + | 0.579563i | 0.0293051 | + | 0.0188333i | 0.555211 | − | 0.831709i | \(-0.312637\pi\) |
−0.525906 | + | 0.850543i | \(0.676274\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.111688 | + | 0.0717775i | −0.00362554 | + | 0.00232999i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.8429 | + | 18.2837i | 0.513742 | + | 0.592889i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 4.49030 | − | 9.83239i | 0.145455 | − | 0.318502i | −0.822856 | − | 0.568250i | \(-0.807620\pi\) |
0.968311 | + | 0.249748i | \(0.0803478\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −19.0855 | + | 5.60400i | −0.617592 | + | 0.181341i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.97188 | + | 13.7147i | 0.0637418 | + | 0.443334i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −5.31142 | − | 11.6304i | −0.171515 | − | 0.375565i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.80065 | + | 47.2995i | −0.219376 | + | 1.52579i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −0.615735 | + | 0.710596i | −0.0198418 | + | 0.0228986i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −9.22503 | −0.296964 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.5042 | −0.595054 | −0.297527 | − | 0.954713i | \(-0.596162\pi\) | ||||
−0.297527 | + | 0.954713i | \(0.596162\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −47.9612 | + | 55.3502i | −1.54074 | + | 1.77810i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −5.13949 | + | 35.7460i | −0.164934 | + | 1.14714i | 0.724232 | + | 0.689557i | \(0.242195\pi\) |
−0.889166 | + | 0.457585i | \(0.848714\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.968837 | + | 2.12146i | 0.0310595 | + | 0.0680108i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.0480099 | − | 0.333916i | −0.00153755 | − | 0.0106939i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −11.9236 | + | 3.50108i | −0.381469 | + | 0.112009i | −0.466844 | − | 0.884339i | \(-0.654609\pi\) |
0.0853754 | + | 0.996349i | \(0.472791\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9.86452 | + | 21.6003i | −0.315271 | + | 0.690348i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.67932 | − | 1.93803i | −0.0536165 | − | 0.0618767i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 18.4731 | − | 11.8719i | 0.589200 | − | 0.378656i | −0.211806 | − | 0.977312i | \(-0.567935\pi\) |
0.801006 | + | 0.598656i | \(0.204298\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −12.0179 | − | 7.72342i | −0.382922 | − | 0.246089i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 31.2312 | + | 9.17032i | 0.994101 | + | 0.291894i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −35.4701 | + | 0.312481i | −1.12788 | + | 0.00993632i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.73337 | + | 2.56435i | 0.277425 | + | 0.0814592i | 0.417485 | − | 0.908684i | \(-0.362912\pi\) |
−0.140061 | + | 0.990143i | \(0.544730\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 20.5900 | + | 13.2324i | 0.653404 | + | 0.419917i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.25203 | + | 2.73262i | −0.134798 | + | 0.0866297i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −30.4558 | − | 35.1479i | −0.964546 | − | 1.11315i | −0.993531 | − | 0.113565i | \(-0.963773\pi\) |
0.0289846 | − | 0.999580i | \(-0.490773\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −5.17883 | + | 11.3401i | −0.163851 | + | 0.358783i |
(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 | 460.2.m.b.41.4 | ✓ | 50 | |
23.9 | even | 11 | inner | 460.2.m.b.101.4 | yes | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.m.b.41.4 | ✓ | 50 | 1.1 | even | 1 | trivial | |
460.2.m.b.101.4 | yes | 50 | 23.9 | even | 11 | inner |