Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(37,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bb (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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{21})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 109.1 | ||
Character | \(\chi\) | \(=\) | 441.109 |
Dual form | 441.2.bb.e.352.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.60276 | + | 1.48714i | −1.13332 | + | 1.05157i | −0.135166 | + | 0.990823i | \(0.543157\pi\) |
−0.998153 | + | 0.0607439i | \(0.980653\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.207780 | − | 2.77264i | 0.103890 | − | 1.38632i | ||||
\(5\) | −0.252155 | + | 0.642481i | −0.112767 | + | 0.287326i | −0.976105 | − | 0.217301i | \(-0.930275\pi\) |
0.863337 | + | 0.504627i | \(0.168370\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.451208 | − | 2.60699i | −0.170541 | − | 0.985351i | ||||
\(8\) | 1.06386 | + | 1.33404i | 0.376132 | + | 0.471655i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.551316 | − | 1.40473i | −0.174341 | − | 0.444215i | ||||
\(11\) | −0.665733 | − | 0.205351i | −0.200726 | − | 0.0619158i | 0.192762 | − | 0.981246i | \(-0.438255\pi\) |
−0.393488 | + | 0.919330i | \(0.628732\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.27841 | + | 5.60108i | 0.354567 | + | 1.55346i | 0.766499 | + | 0.642246i | \(0.221997\pi\) |
−0.411932 | + | 0.911215i | \(0.635146\pi\) | |||||||
\(14\) | 4.60014 | + | 3.50736i | 1.22944 | + | 0.937382i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.80969 | + | 0.272767i | 0.452423 | + | 0.0681918i | ||||
\(17\) | 4.69720 | − | 3.20250i | 1.13924 | − | 0.776719i | 0.161567 | − | 0.986862i | \(-0.448345\pi\) |
0.977671 | + | 0.210143i | \(0.0673928\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.410442 | + | 0.710906i | 0.0941618 | + | 0.163093i | 0.909258 | − | 0.416232i | \(-0.136650\pi\) |
−0.815097 | + | 0.579325i | \(0.803316\pi\) | |||||||
\(20\) | 1.72897 | + | 0.832630i | 0.386610 | + | 0.186182i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.37239 | − | 0.660910i | 0.292595 | − | 0.140906i | ||||
\(23\) | 0.244786 | + | 0.166892i | 0.0510414 | + | 0.0347995i | 0.588572 | − | 0.808445i | \(-0.299690\pi\) |
−0.537531 | + | 0.843244i | \(0.680643\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.31606 | + | 3.07685i | 0.663212 | + | 0.615371i | ||||
\(26\) | −10.3786 | − | 7.07599i | −2.03541 | − | 1.38772i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −7.32200 | + | 0.709354i | −1.38373 | + | 0.134055i | ||||
\(29\) | 7.48630 | + | 3.60521i | 1.39017 | + | 0.669471i | 0.971142 | − | 0.238502i | \(-0.0766563\pi\) |
0.419029 | + | 0.907973i | \(0.362371\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.12729 | − | 1.95252i | 0.202467 | − | 0.350683i | −0.746856 | − | 0.664986i | \(-0.768438\pi\) |
0.949323 | + | 0.314303i | \(0.101771\pi\) | |||||||
\(32\) | −6.12577 | + | 4.17648i | −1.08289 | + | 0.738304i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.76590 | + | 12.1182i | −0.474348 | + | 2.07826i | ||||
\(35\) | 1.78872 | + | 0.367474i | 0.302349 | + | 0.0621145i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.0743856 | + | 0.992607i | 0.0122289 | + | 0.163184i | 0.999975 | + | 0.00711229i | \(0.00226393\pi\) |
−0.987746 | + | 0.156071i | \(0.950117\pi\) | |||||||
\(38\) | −1.71505 | − | 0.529024i | −0.278218 | − | 0.0858190i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.12536 | + | 0.347126i | −0.177934 | + | 0.0548855i | ||||
\(41\) | 4.21303 | + | 5.28297i | 0.657964 | + | 0.825061i | 0.993120 | − | 0.117102i | \(-0.0373603\pi\) |
−0.335156 | + | 0.942163i | \(0.608789\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.31241 | − | 2.89967i | 0.352639 | − | 0.442195i | −0.573598 | − | 0.819137i | \(-0.694453\pi\) |
0.926237 | + | 0.376942i | \(0.123024\pi\) | |||||||
\(44\) | −0.707691 | + | 1.80317i | −0.106688 | + | 0.271838i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.640525 | + | 0.0965436i | −0.0944402 | + | 0.0142346i | ||||
\(47\) | −6.01460 | + | 5.58073i | −0.877320 | + | 0.814034i | −0.983611 | − | 0.180301i | \(-0.942293\pi\) |
0.106292 | + | 0.994335i | \(0.466102\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.59282 | + | 2.35259i | −0.941832 | + | 0.336084i | ||||
\(50\) | −9.89055 | −1.39873 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 15.7954 | − | 2.38077i | 2.19043 | − | 0.330154i | ||||
\(53\) | 0.561174 | − | 7.48835i | 0.0770832 | − | 1.02860i | −0.815805 | − | 0.578326i | \(-0.803706\pi\) |
0.892889 | − | 0.450278i | \(-0.148675\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.299802 | − | 0.375940i | 0.0404254 | − | 0.0506918i | ||||
\(56\) | 2.99781 | − | 3.37541i | 0.400600 | − | 0.451059i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −17.3602 | + | 5.35490i | −2.27950 | + | 0.703133i | ||||
\(59\) | 2.58627 | + | 6.58970i | 0.336703 | + | 0.857905i | 0.994503 | + | 0.104712i | \(0.0333922\pi\) |
−0.657799 | + | 0.753193i | \(0.728513\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.172385 | − | 2.30031i | −0.0220716 | − | 0.294525i | −0.997306 | − | 0.0733518i | \(-0.976630\pi\) |
0.975235 | − | 0.221173i | \(-0.0709886\pi\) | |||||||
\(62\) | 1.09690 | + | 4.80585i | 0.139307 | + | 0.610343i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.79262 | − | 12.2353i | 0.349077 | − | 1.52941i | ||||
\(65\) | −3.92095 | − | 0.590988i | −0.486334 | − | 0.0733030i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.80742 | + | 11.7908i | −0.831659 | + | 1.44048i | 0.0650627 | + | 0.997881i | \(0.479275\pi\) |
−0.896722 | + | 0.442595i | \(0.854058\pi\) | |||||||
\(68\) | −7.90337 | − | 13.6890i | −0.958425 | − | 1.66004i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.41336 | + | 2.07110i | −0.407975 | + | 0.247544i | ||||
\(71\) | 11.5600 | − | 5.56699i | 1.37192 | − | 0.660680i | 0.404656 | − | 0.914469i | \(-0.367391\pi\) |
0.967260 | + | 0.253789i | \(0.0816770\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.904509 | − | 0.839262i | −0.105865 | − | 0.0982281i | 0.625465 | − | 0.780252i | \(-0.284909\pi\) |
−0.731330 | + | 0.682024i | \(0.761100\pi\) | |||||||
\(74\) | −1.59537 | − | 1.48029i | −0.185458 | − | 0.172080i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.05637 | − | 0.990293i | 0.235881 | − | 0.113594i | ||||
\(77\) | −0.234966 | + | 1.82822i | −0.0267768 | + | 0.208345i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.02406 | − | 5.23782i | −0.340233 | − | 0.589301i | 0.644243 | − | 0.764821i | \(-0.277173\pi\) |
−0.984476 | + | 0.175520i | \(0.943839\pi\) | |||||||
\(80\) | −0.631572 | + | 1.09391i | −0.0706119 | + | 0.122303i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −14.6090 | − | 2.20195i | −1.61329 | − | 0.243164i | ||||
\(83\) | 0.767708 | − | 3.36355i | 0.0842669 | − | 0.369198i | −0.915158 | − | 0.403094i | \(-0.867935\pi\) |
0.999425 | + | 0.0338969i | \(0.0107918\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.873120 | + | 3.82539i | 0.0947031 | + | 0.414922i | ||||
\(86\) | 0.605987 | + | 8.08634i | 0.0653453 | + | 0.871972i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.434301 | − | 1.10658i | −0.0462967 | − | 0.117962i | ||||
\(89\) | 11.1599 | − | 3.44239i | 1.18295 | − | 0.364892i | 0.359972 | − | 0.932963i | \(-0.382786\pi\) |
0.822980 | + | 0.568071i | \(0.192310\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 14.0251 | − | 5.86006i | 1.47024 | − | 0.614301i | ||||
\(92\) | 0.513594 | − | 0.644026i | 0.0535459 | − | 0.0671444i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.34060 | − | 17.8891i | 0.138273 | − | 1.84512i | ||||
\(95\) | −0.560239 | + | 0.0844424i | −0.0574793 | + | 0.00866360i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 16.2259 | 1.64749 | 0.823743 | − | 0.566963i | \(-0.191882\pi\) | ||||
0.823743 | + | 0.566963i | \(0.191882\pi\) | |||||||
\(98\) | 7.06805 | − | 13.5751i | 0.713981 | − | 1.37129i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 9.22001 | − | 8.55492i | 0.922001 | − | 0.855492i | ||||
\(101\) | −3.20653 | + | 0.483306i | −0.319061 | + | 0.0480908i | −0.306620 | − | 0.951832i | \(-0.599198\pi\) |
−0.0124408 | + | 0.999923i | \(0.503960\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.05431 | − | 17.9741i | 0.695082 | − | 1.77104i | 0.0605211 | − | 0.998167i | \(-0.480724\pi\) |
0.634561 | − | 0.772873i | \(-0.281181\pi\) | |||||||
\(104\) | −6.11202 | + | 7.66424i | −0.599333 | + | 0.751540i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.2368 | + | 12.8365i | 0.994286 | + | 1.24680i | ||||
\(107\) | −10.7156 | + | 3.30534i | −1.03592 | + | 0.319539i | −0.765658 | − | 0.643248i | \(-0.777586\pi\) |
−0.270262 | + | 0.962787i | \(0.587110\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.9774 | + | 4.00301i | 1.24301 | + | 0.383419i | 0.845400 | − | 0.534134i | \(-0.179362\pi\) |
0.397613 | + | 0.917553i | \(0.369839\pi\) | |||||||
\(110\) | 0.0785659 | + | 1.04839i | 0.00749096 | + | 0.0999600i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.105445 | − | 4.84093i | −0.00996364 | − | 0.457425i | ||||
\(113\) | 1.57596 | − | 6.90471i | 0.148253 | − | 0.649541i | −0.845117 | − | 0.534582i | \(-0.820469\pi\) |
0.993370 | − | 0.114959i | \(-0.0366736\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.168949 | + | 0.115188i | −0.0157546 | + | 0.0107413i | ||||
\(116\) | 11.5515 | − | 20.0077i | 1.07253 | − | 1.85767i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −13.9450 | − | 6.71554i | −1.28374 | − | 0.618215i | ||||
\(119\) | −10.4683 | − | 10.8006i | −0.959627 | − | 0.990087i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.68760 | − | 5.92310i | −0.789781 | − | 0.538464i | ||||
\(122\) | 3.69718 | + | 3.43048i | 0.334727 | + | 0.310581i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.17940 | − | 3.53125i | −0.465124 | − | 0.317116i | ||||
\(125\) | −5.92219 | + | 2.85198i | −0.529697 | + | 0.255088i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.2318 | − | 7.81682i | −1.44034 | − | 0.693631i | −0.459451 | − | 0.888203i | \(-0.651954\pi\) |
−0.980888 | + | 0.194572i | \(0.937668\pi\) | |||||||
\(128\) | 6.30561 | + | 10.9216i | 0.557342 | + | 0.965345i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.16320 | − | 4.88379i | 0.628254 | − | 0.428337i | ||||
\(131\) | 17.9748 | + | 2.70927i | 1.57047 | + | 0.236710i | 0.875818 | − | 0.482641i | \(-0.160322\pi\) |
0.694648 | + | 0.719350i | \(0.255560\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.66813 | − | 1.39078i | 0.144645 | − | 0.120596i | ||||
\(134\) | −6.62394 | − | 29.0214i | −0.572221 | − | 2.50706i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.26944 | + | 2.85924i | 0.794848 | + | 0.245178i | ||||
\(137\) | −1.78265 | − | 4.54212i | −0.152302 | − | 0.388059i | 0.834277 | − | 0.551346i | \(-0.185886\pi\) |
−0.986579 | + | 0.163287i | \(0.947790\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.4267 | + | 13.0747i | 0.884381 | + | 1.10898i | 0.993373 | + | 0.114936i | \(0.0366663\pi\) |
−0.108992 | + | 0.994043i | \(0.534762\pi\) | |||||||
\(140\) | 1.39053 | − | 4.88311i | 0.117522 | − | 0.412698i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −10.2489 | + | 26.1138i | −0.860070 | + | 2.19142i | ||||
\(143\) | 0.299110 | − | 3.99135i | 0.0250128 | − | 0.333773i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.20399 | + | 3.90073i | −0.349122 | + | 0.323938i | ||||
\(146\) | 2.69781 | 0.223272 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.76760 | 0.227495 | ||||||||
\(149\) | −15.7246 | + | 14.5903i | −1.28821 | + | 1.19528i | −0.319361 | + | 0.947633i | \(0.603468\pi\) |
−0.968849 | + | 0.247651i | \(0.920341\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.418329 | + | 5.58221i | −0.0340431 | + | 0.454274i | 0.953970 | + | 0.299903i | \(0.0969543\pi\) |
−0.988013 | + | 0.154371i | \(0.950665\pi\) | |||||||
\(152\) | −0.511724 | + | 1.30385i | −0.0415063 | + | 0.105756i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.34222 | − | 3.27961i | −0.188742 | − | 0.264279i | ||||
\(155\) | 0.970205 | + | 1.21660i | 0.0779288 | + | 0.0977196i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.57998 | + | 16.7655i | 0.525140 | + | 1.33803i | 0.909827 | + | 0.414987i | \(0.136214\pi\) |
−0.384687 | + | 0.923047i | \(0.625691\pi\) | |||||||
\(158\) | 12.6362 | + | 3.89775i | 1.00528 | + | 0.310088i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.13866 | − | 4.98881i | −0.0900193 | − | 0.394400i | ||||
\(161\) | 0.324638 | − | 0.713459i | 0.0255850 | − | 0.0562284i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.73345 | + | 0.412002i | 0.214100 | + | 0.0322705i | 0.255217 | − | 0.966884i | \(-0.417853\pi\) |
−0.0411161 | + | 0.999154i | \(0.513091\pi\) | |||||||
\(164\) | 15.5231 | − | 10.5835i | 1.21215 | − | 0.826432i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.77162 | + | 6.53264i | 0.292735 | + | 0.507031i | ||||
\(167\) | 1.26375 | + | 0.608589i | 0.0977918 | + | 0.0470941i | 0.482140 | − | 0.876094i | \(-0.339860\pi\) |
−0.384348 | + | 0.923188i | \(0.625574\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −18.0252 | + | 8.68047i | −1.38655 | + | 0.667728i | ||||
\(170\) | −7.08828 | − | 4.83271i | −0.543647 | − | 0.370652i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.55926 | − | 7.01397i | −0.576388 | − | 0.534810i | ||||
\(173\) | −5.08016 | − | 3.46359i | −0.386237 | − | 0.263332i | 0.354598 | − | 0.935019i | \(-0.384618\pi\) |
−0.740835 | + | 0.671687i | \(0.765570\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.52510 | − | 10.0332i | 0.493251 | − | 0.758442i | ||||
\(176\) | −1.14876 | − | 0.553213i | −0.0865910 | − | 0.0417000i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −12.7674 | + | 22.1137i | −0.956954 | + | 1.65749i | ||||
\(179\) | −9.82971 | + | 6.70178i | −0.734707 | + | 0.500915i | −0.871933 | − | 0.489625i | \(-0.837134\pi\) |
0.137226 | + | 0.990540i | \(0.456181\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.08318 | − | 13.5083i | 0.229171 | − | 1.00406i | −0.721146 | − | 0.692783i | \(-0.756384\pi\) |
0.950318 | − | 0.311282i | \(-0.100758\pi\) | |||||||
\(182\) | −13.7642 | + | 30.2496i | −1.02027 | + | 2.24225i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.0377775 | + | 0.504106i | 0.00278499 | + | 0.0371632i | ||||
\(185\) | −0.656488 | − | 0.202500i | −0.0482660 | − | 0.0148881i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.78472 | + | 1.16743i | −0.276766 | + | 0.0853710i | ||||
\(188\) | 14.2236 | + | 17.8359i | 1.03737 | + | 1.30081i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.772348 | − | 0.968494i | 0.0560320 | − | 0.0702619i | ||||
\(191\) | 4.82414 | − | 12.2917i | 0.349063 | − | 0.889398i | −0.643252 | − | 0.765655i | \(-0.722415\pi\) |
0.992314 | − | 0.123743i | \(-0.0394897\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −22.0544 | + | 3.32417i | −1.58751 | + | 0.239279i | −0.882638 | − | 0.470052i | \(-0.844235\pi\) |
−0.704875 | + | 0.709332i | \(0.748997\pi\) | |||||||
\(194\) | −26.0061 | + | 24.1301i | −1.86713 | + | 1.73244i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.15302 | + | 18.7683i | 0.368073 | + | 1.34059i | ||||
\(197\) | −26.9785 | −1.92214 | −0.961071 | − | 0.276302i | \(-0.910891\pi\) | ||||
−0.961071 | + | 0.276302i | \(0.910891\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.63999 | + | 0.397914i | −0.187144 | + | 0.0282074i | −0.241945 | − | 0.970290i | \(-0.577785\pi\) |
0.0548016 | + | 0.998497i | \(0.482547\pi\) | |||||||
\(200\) | −0.576819 | + | 7.69711i | −0.0407873 | + | 0.544268i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.42054 | − | 5.54318i | 0.311028 | − | 0.390017i | ||||
\(203\) | 6.02088 | − | 21.1434i | 0.422583 | − | 1.48398i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.45654 | + | 1.37466i | −0.311259 | + | 0.0960106i | ||||
\(206\) | 15.4237 | + | 39.2988i | 1.07462 | + | 2.73808i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.785738 | + | 10.4849i | 0.0544811 | + | 0.727000i | ||||
\(209\) | −0.127259 | − | 0.557558i | −0.00880269 | − | 0.0385671i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.56789 | − | 24.3945i | 0.383310 | − | 1.67939i | −0.303721 | − | 0.952761i | \(-0.598229\pi\) |
0.687031 | − | 0.726628i | \(-0.258914\pi\) | |||||||
\(212\) | −20.6459 | − | 3.11187i | −1.41796 | − | 0.213724i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 12.2590 | − | 21.2333i | 0.838011 | − | 1.45148i | ||||
\(215\) | 1.27990 | + | 2.21685i | 0.0872882 | + | 0.151188i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.59884 | − | 2.05784i | −0.380074 | − | 0.139695i | ||||
\(218\) | −26.7527 | + | 12.8834i | −1.81192 | + | 0.872575i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.980053 | − | 0.909356i | −0.0660752 | − | 0.0613088i | ||||
\(221\) | 23.9424 | + | 22.2153i | 1.61054 | + | 1.49436i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.3106 | + | 8.33633i | −1.15920 | + | 0.558242i | −0.911785 | − | 0.410668i | \(-0.865296\pi\) |
−0.247416 | + | 0.968909i | \(0.579581\pi\) | |||||||
\(224\) | 13.6520 | + | 14.0854i | 0.912166 | + | 0.941119i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.74240 | + | 13.4102i | 0.515017 | + | 0.892035i | ||||
\(227\) | 0.0135758 | − | 0.0235139i | 0.000901055 | − | 0.00156067i | −0.865575 | − | 0.500780i | \(-0.833047\pi\) |
0.866476 | + | 0.499219i | \(0.166380\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.78410 | + | 0.721087i | 0.316142 | + | 0.0476508i | 0.305197 | − | 0.952289i | \(-0.401278\pi\) |
0.0109456 | + | 0.999940i | \(0.496516\pi\) | |||||||
\(230\) | 0.0994843 | − | 0.435869i | 0.00655980 | − | 0.0287404i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.15489 | + | 13.8225i | 0.207129 | + | 0.907491i | ||||
\(233\) | 0.0820888 | + | 1.09540i | 0.00537782 | + | 0.0717620i | 0.999247 | − | 0.0388007i | \(-0.0123537\pi\) |
−0.993869 | + | 0.110563i | \(0.964735\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.06890 | − | 5.27148i | −0.134960 | − | 0.343873i | ||||
\(236\) | 18.8082 | − | 5.80157i | 1.22431 | − | 0.377650i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 32.8401 | + | 1.74286i | 2.12871 | + | 0.112973i | ||||
\(239\) | 2.46711 | − | 3.09366i | 0.159584 | − | 0.200112i | −0.695611 | − | 0.718419i | \(-0.744866\pi\) |
0.855195 | + | 0.518307i | \(0.173437\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.691452 | − | 9.22678i | 0.0445403 | − | 0.594349i | −0.929624 | − | 0.368509i | \(-0.879868\pi\) |
0.974164 | − | 0.225840i | \(-0.0725127\pi\) | |||||||
\(242\) | 22.7326 | − | 3.42638i | 1.46131 | − | 0.220256i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.41376 | −0.410599 | ||||||||
\(245\) | 0.150919 | − | 4.82898i | 0.00964189 | − | 0.308512i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.45713 | + | 3.20775i | −0.219972 | + | 0.204104i | ||||
\(248\) | 3.80402 | − | 0.573364i | 0.241556 | − | 0.0364087i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.25053 | − | 13.3781i | 0.332073 | − | 0.846108i | ||||
\(251\) | −2.52929 | + | 3.17163i | −0.159647 | + | 0.200191i | −0.855221 | − | 0.518263i | \(-0.826579\pi\) |
0.695574 | + | 0.718455i | \(0.255150\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.128691 | − | 0.161373i | −0.00809071 | − | 0.0101454i | ||||
\(254\) | 37.6403 | − | 11.6105i | 2.36176 | − | 0.728508i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.36366 | − | 0.729093i | −0.147729 | − | 0.0455683i | ||||
\(257\) | 0.371363 | + | 4.95549i | 0.0231650 | + | 0.309115i | 0.996736 | + | 0.0807305i | \(0.0257253\pi\) |
−0.973571 | + | 0.228385i | \(0.926656\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.55416 | − | 0.641795i | 0.158708 | − | 0.0398792i | ||||
\(260\) | −2.45329 | + | 10.7486i | −0.152147 | + | 0.666598i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −32.8383 | + | 22.3888i | −2.02876 | + | 1.38318i | ||||
\(263\) | −6.15524 | + | 10.6612i | −0.379549 | + | 0.657398i | −0.990997 | − | 0.133887i | \(-0.957254\pi\) |
0.611448 | + | 0.791285i | \(0.290587\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.66962 | + | 2.24877i | 0.286853 | + | 0.138141i | ||||
\(266\) | −0.605316 | + | 4.70983i | −0.0371143 | + | 0.288778i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 31.2772 | + | 21.3244i | 1.91056 | + | 1.30260i | ||||
\(269\) | 3.50671 | + | 3.25375i | 0.213808 | + | 0.198385i | 0.779805 | − | 0.626023i | \(-0.215318\pi\) |
−0.565997 | + | 0.824407i | \(0.691509\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.47848 | + | 4.41695i | 0.393540 | + | 0.268311i | 0.743882 | − | 0.668311i | \(-0.232982\pi\) |
−0.350342 | + | 0.936622i | \(0.613935\pi\) | |||||||
\(272\) | 9.37402 | − | 4.51429i | 0.568384 | − | 0.273719i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.61192 | + | 4.62886i | 0.580677 | + | 0.279639i | ||||
\(275\) | −1.57577 | − | 2.72932i | −0.0950227 | − | 0.164584i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.5198 | + | 9.21765i | −0.812326 | + | 0.553835i | −0.896720 | − | 0.442598i | \(-0.854057\pi\) |
0.0843940 | + | 0.996432i | \(0.473105\pi\) | |||||||
\(278\) | −36.1553 | − | 5.44954i | −2.16845 | − | 0.326841i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.41272 | + | 2.77717i | 0.0844265 | + | 0.165968i | ||||
\(281\) | 2.19739 | + | 9.62741i | 0.131085 | + | 0.574323i | 0.997220 | + | 0.0745121i | \(0.0237400\pi\) |
−0.866135 | + | 0.499811i | \(0.833403\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.69639 | − | 2.68248i | −0.516947 | − | 0.159457i | 0.0252940 | − | 0.999680i | \(-0.491948\pi\) |
−0.542241 | + | 0.840223i | \(0.682424\pi\) | |||||||
\(284\) | −13.0333 | − | 33.2083i | −0.773384 | − | 1.97055i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.45629 | + | 6.84197i | 0.322637 | + | 0.404574i | ||||
\(287\) | 11.8717 | − | 13.3670i | 0.700765 | − | 0.789032i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.59689 | − | 14.2607i | 0.329229 | − | 0.838862i | ||||
\(290\) | 0.937034 | − | 12.5038i | 0.0550245 | − | 0.734251i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.51491 | + | 2.33349i | −0.147174 | + | 0.136557i | ||||
\(293\) | 1.43734 | 0.0839700 | 0.0419850 | − | 0.999118i | \(-0.486632\pi\) | ||||
0.0419850 | + | 0.999118i | \(0.486632\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.88590 | −0.284468 | ||||||||
\(296\) | −1.24504 | + | 1.15523i | −0.0723667 | + | 0.0671465i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.50488 | − | 46.7694i | 0.203032 | − | 2.70928i | ||||
\(299\) | −0.621841 | + | 1.58442i | −0.0359620 | + | 0.0916296i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.60280 | − | 4.72008i | −0.495857 | − | 0.272061i | ||||
\(302\) | −7.63105 | − | 9.56904i | −0.439118 | − | 0.550636i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.548862 | + | 1.39848i | 0.0314794 | + | 0.0802081i | ||||
\(305\) | 1.52138 | + | 0.469283i | 0.0871138 | + | 0.0268710i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.56595 | − | 28.7673i | −0.374738 | − | 1.64184i | −0.713276 | − | 0.700883i | \(-0.752789\pi\) |
0.338537 | − | 0.940953i | \(-0.390068\pi\) | |||||||
\(308\) | 5.02016 | + | 1.03134i | 0.286050 | + | 0.0587662i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.36426 | − | 0.507080i | −0.191077 | − | 0.0288002i | ||||
\(311\) | −3.63107 | + | 2.47562i | −0.205899 | + | 0.140380i | −0.661880 | − | 0.749610i | \(-0.730241\pi\) |
0.455981 | + | 0.889990i | \(0.349289\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.73692 | + | 16.8648i | 0.550363 | + | 0.953257i | 0.998248 | + | 0.0591658i | \(0.0188441\pi\) |
−0.447885 | + | 0.894091i | \(0.647823\pi\) | |||||||
\(314\) | −35.4788 | − | 17.0857i | −2.00218 | − | 0.964201i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −15.1509 | + | 7.29630i | −0.852306 | + | 0.410449i | ||||
\(317\) | −1.88025 | − | 1.28193i | −0.105605 | − | 0.0720003i | 0.509366 | − | 0.860550i | \(-0.329880\pi\) |
−0.614971 | + | 0.788550i | \(0.710832\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.24354 | − | 3.93743i | −0.237593 | − | 0.220454i | ||||
\(320\) | 7.15675 | + | 4.87939i | 0.400074 | + | 0.272766i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.540698 | + | 1.62628i | 0.0301319 | + | 0.0906292i | ||||
\(323\) | 4.20460 | + | 2.02483i | 0.233950 | + | 0.112664i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.9944 | + | 22.5070i | −0.720801 | + | 1.24846i | ||||
\(326\) | −4.99376 | + | 3.40469i | −0.276579 | + | 0.188568i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.56562 | + | 11.2407i | −0.141663 | + | 0.620664i | ||||
\(329\) | 17.2628 | + | 13.1620i | 0.951727 | + | 0.725642i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.0966490 | − | 1.28969i | −0.00531231 | − | 0.0708878i | 0.993918 | − | 0.110127i | \(-0.0351257\pi\) |
−0.999230 | + | 0.0392389i | \(0.987507\pi\) | |||||||
\(332\) | −9.16639 | − | 2.82746i | −0.503071 | − | 0.155177i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.93054 | + | 0.903951i | −0.160352 | + | 0.0494620i | ||||
\(335\) | −5.85884 | − | 7.34675i | −0.320103 | − | 0.401396i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.55785 | − | 5.71537i | 0.248282 | − | 0.311336i | −0.642036 | − | 0.766674i | \(-0.721910\pi\) |
0.890319 | + | 0.455338i | \(0.150482\pi\) | |||||||
\(338\) | 15.9809 | − | 40.7186i | 0.869246 | − | 2.21480i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.7878 | − | 1.62600i | 0.585052 | − | 0.0881824i | ||||
\(341\) | −1.15142 | + | 1.06837i | −0.0623532 | + | 0.0578553i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.10792 | + | 16.1259i | 0.491782 | + | 0.870719i | ||||
\(344\) | 6.32837 | 0.341203 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.2931 | − | 2.00361i | 0.714641 | − | 0.107715i | ||||
\(347\) | 1.99657 | − | 26.6423i | 0.107181 | − | 1.43023i | −0.641408 | − | 0.767200i | \(-0.721649\pi\) |
0.748589 | − | 0.663034i | \(-0.230732\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.01375 | − | 5.03308i | 0.214851 | − | 0.269414i | −0.662714 | − | 0.748873i | \(-0.730595\pi\) |
0.877565 | + | 0.479458i | \(0.159167\pi\) | |||||||
\(350\) | 4.46269 | + | 25.7846i | 0.238541 | + | 1.37824i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.93577 | − | 1.52248i | 0.263077 | − | 0.0811487i | ||||
\(353\) | −2.34561 | − | 5.97652i | −0.124844 | − | 0.318098i | 0.854763 | − | 0.519018i | \(-0.173702\pi\) |
−0.979608 | + | 0.200920i | \(0.935607\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.661777 | + | 8.83081i | 0.0351235 | + | 0.468690i | ||||
\(356\) | −7.22567 | − | 31.6577i | −0.382960 | − | 1.67786i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.78814 | − | 25.3595i | 0.305913 | − | 1.34029i | ||||
\(359\) | −20.9748 | − | 3.16144i | −1.10701 | − | 0.166854i | −0.429998 | − | 0.902830i | \(-0.641486\pi\) |
−0.677008 | + | 0.735976i | \(0.736724\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.16308 | − | 15.8709i | 0.482267 | − | 0.835311i | ||||
\(362\) | 15.1472 | + | 26.2356i | 0.796117 | + | 1.37891i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −13.3337 | − | 40.1043i | −0.698874 | − | 2.10203i | ||||
\(365\) | 0.767286 | − | 0.369506i | 0.0401616 | − | 0.0193408i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.38268 | + | 5.92226i | 0.333173 | + | 0.309139i | 0.828963 | − | 0.559303i | \(-0.188931\pi\) |
−0.495790 | + | 0.868442i | \(0.665122\pi\) | |||||||
\(368\) | 0.397465 | + | 0.368794i | 0.0207193 | + | 0.0192247i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.35334 | − | 0.651732i | 0.0703566 | − | 0.0338819i | ||||
\(371\) | −19.7753 | + | 1.91583i | −1.02668 | + | 0.0994647i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9.24794 | − | 16.0179i | −0.478840 | − | 0.829376i | 0.520865 | − | 0.853639i | \(-0.325609\pi\) |
−0.999706 | + | 0.0242630i | \(0.992276\pi\) | |||||||
\(374\) | 4.32984 | − | 7.49951i | 0.223891 | − | 0.387790i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −13.8436 | − | 2.08659i | −0.713932 | − | 0.107608i | ||||
\(377\) | −10.6225 | + | 46.5403i | −0.547088 | + | 2.39695i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.37392 | + | 10.4008i | 0.121940 | + | 0.534254i | 0.998588 | + | 0.0531219i | \(0.0169172\pi\) |
−0.876648 | + | 0.481132i | \(0.840226\pi\) | |||||||
\(380\) | 0.117721 | + | 1.57088i | 0.00603898 | + | 0.0805846i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 10.5476 | + | 26.8748i | 0.539661 | + | 1.37503i | ||||
\(383\) | −8.87562 | + | 2.73777i | −0.453523 | + | 0.139893i | −0.513097 | − | 0.858331i | \(-0.671502\pi\) |
0.0595741 | + | 0.998224i | \(0.481026\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.11535 | − | 0.611956i | −0.0568434 | − | 0.0311881i | ||||
\(386\) | 30.4044 | − | 38.1259i | 1.54754 | − | 1.94056i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.37141 | − | 44.9884i | 0.171158 | − | 2.28394i | ||||
\(389\) | −28.7783 | + | 4.33764i | −1.45912 | + | 0.219927i | −0.830166 | − | 0.557516i | \(-0.811755\pi\) |
−0.628953 | + | 0.777443i | \(0.716516\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.68428 | 0.0851778 | ||||||||
\(392\) | −10.1523 | − | 6.29227i | −0.512769 | − | 0.317808i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 43.2400 | − | 40.1209i | 2.17840 | − | 2.02126i | ||||
\(395\) | 4.12773 | − | 0.622156i | 0.207689 | − | 0.0313041i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.802234 | + | 2.04406i | −0.0402630 | + | 0.102588i | −0.949591 | − | 0.313492i | \(-0.898501\pi\) |
0.909328 | + | 0.416080i | \(0.136596\pi\) | |||||||
\(398\) | 3.63950 | − | 4.56379i | 0.182432 | − | 0.228762i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 5.16179 | + | 6.47267i | 0.258089 | + | 0.323634i | ||||
\(401\) | 6.76651 | − | 2.08719i | 0.337904 | − | 0.104229i | −0.121160 | − | 0.992633i | \(-0.538661\pi\) |
0.459063 | + | 0.888404i | \(0.348185\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 12.3774 | + | 3.81791i | 0.616560 | + | 0.190184i | ||||
\(404\) | 0.673779 | + | 8.99096i | 0.0335218 | + | 0.447317i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 21.7932 | + | 42.8417i | 1.08158 | + | 2.12620i | ||||
\(407\) | 0.154312 | − | 0.676087i | 0.00764898 | − | 0.0335124i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −19.0475 | + | 12.9864i | −0.941839 | + | 0.642135i | −0.933786 | − | 0.357833i | \(-0.883516\pi\) |
−0.00805306 | + | 0.999968i | \(0.502563\pi\) | |||||||
\(410\) | 5.09844 | − | 8.83075i | 0.251794 | − | 0.436120i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −48.3699 | − | 23.2937i | −2.38301 | − | 1.14760i | ||||
\(413\) | 16.0123 | − | 9.71570i | 0.787916 | − | 0.478078i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.96744 | + | 1.34137i | 0.0965776 | + | 0.0658455i | ||||
\(416\) | −31.2240 | − | 28.9717i | −1.53088 | − | 1.42045i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.03313 | + | 0.704377i | 0.0505321 | + | 0.0344522i | ||||
\(419\) | 15.2843 | − | 7.36052i | 0.746686 | − | 0.359585i | −0.0215365 | − | 0.999768i | \(-0.506856\pi\) |
0.768222 | + | 0.640183i | \(0.221142\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 28.5313 | + | 13.7400i | 1.39053 | + | 0.669644i | 0.971217 | − | 0.238197i | \(-0.0765564\pi\) |
0.419314 | + | 0.907841i | \(0.362271\pi\) | |||||||
\(422\) | 27.3541 | + | 47.3787i | 1.33158 | + | 2.30636i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 10.5868 | − | 7.21795i | 0.514140 | − | 0.350535i | ||||
\(425\) | 25.4298 | + | 3.83293i | 1.23353 | + | 0.185924i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.91912 | + | 1.48733i | −0.286446 | + | 0.0719768i | ||||
\(428\) | 6.93800 | + | 30.3974i | 0.335361 | + | 1.46931i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −5.34812 | − | 1.64968i | −0.257909 | − | 0.0795545i | ||||
\(431\) | −4.50740 | − | 11.4847i | −0.217114 | − | 0.553197i | 0.780273 | − | 0.625439i | \(-0.215080\pi\) |
−0.997387 | + | 0.0722416i | \(0.976985\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.73179 | + | 8.44140i | 0.323509 | + | 0.405668i | 0.916817 | − | 0.399308i | \(-0.130750\pi\) |
−0.593308 | + | 0.804976i | \(0.702178\pi\) | |||||||
\(434\) | 12.0339 | − | 5.02805i | 0.577644 | − | 0.241354i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 13.7954 | − | 35.1500i | 0.660677 | − | 1.68338i | ||||
\(437\) | −0.0181743 | + | 0.242519i | −0.000869396 | + | 0.0116013i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9.81884 | + | 9.11056i | −0.468628 | + | 0.434823i | −0.878804 | − | 0.477183i | \(-0.841658\pi\) |
0.410176 | + | 0.912006i | \(0.365467\pi\) | |||||||
\(440\) | 0.820469 | 0.0391143 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −71.4110 | −3.39668 | ||||||||
\(443\) | 21.1587 | − | 19.6324i | 1.00528 | − | 0.932764i | 0.00754171 | − | 0.999972i | \(-0.497599\pi\) |
0.997739 | + | 0.0672073i | \(0.0214089\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.602370 | + | 8.03807i | −0.0285551 | + | 0.381041i | ||||
\(446\) | 15.3473 | − | 39.1043i | 0.726716 | − | 1.85164i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −33.1573 | − | 1.75969i | −1.56653 | − | 0.0831375i | ||||
\(449\) | 10.1857 | + | 12.7724i | 0.480691 | + | 0.602768i | 0.961753 | − | 0.273919i | \(-0.0883201\pi\) |
−0.481062 | + | 0.876687i | \(0.659749\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.71989 | − | 4.38220i | −0.0809862 | − | 0.206350i | ||||
\(452\) | −18.8168 | − | 5.80422i | −0.885068 | − | 0.273007i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.0132098 | + | 0.0578761i | 0.000619969 | + | 0.00271626i | ||||
\(455\) | 0.228462 | + | 10.4885i | 0.0107104 | + | 0.491710i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.0137 | − | 3.61949i | −1.12332 | − | 0.169313i | −0.438992 | − | 0.898491i | \(-0.644664\pi\) |
−0.684324 | + | 0.729178i | \(0.739902\pi\) | |||||||
\(458\) | −8.74011 | + | 5.95890i | −0.408398 | + | 0.278441i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.284269 | + | 0.492369i | 0.0132541 | + | 0.0229568i | ||||
\(461\) | −26.3733 | − | 12.7007i | −1.22833 | − | 0.591531i | −0.296707 | − | 0.954968i | \(-0.595889\pi\) |
−0.931618 | + | 0.363438i | \(0.881603\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.4752 | + | 6.48930i | −0.626244 | + | 0.301583i | −0.719960 | − | 0.694016i | \(-0.755840\pi\) |
0.0937157 | + | 0.995599i | \(0.470126\pi\) | |||||||
\(464\) | 12.5645 | + | 8.56635i | 0.583293 | + | 0.397683i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.76058 | − | 1.63358i | −0.0815573 | − | 0.0756741i | ||||
\(467\) | −10.6247 | − | 7.24378i | −0.491651 | − | 0.335202i | 0.291984 | − | 0.956423i | \(-0.405685\pi\) |
−0.783635 | + | 0.621221i | \(0.786637\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 33.8101 | + | 12.4268i | 1.56121 | + | 0.573816i | ||||
\(470\) | 11.1554 | + | 5.37215i | 0.514559 | + | 0.247799i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.03950 | + | 10.4607i | −0.277991 | + | 0.481494i | ||||
\(473\) | −2.13490 | + | 1.45555i | −0.0981627 | + | 0.0669262i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.826304 | + | 3.62027i | −0.0379134 | + | 0.166110i | ||||
\(476\) | −32.1212 | + | 26.7806i | −1.47227 | + | 1.22749i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.646529 | + | 8.62732i | 0.0295715 | + | 0.394605i | ||||
\(479\) | −35.9947 | − | 11.1029i | −1.64464 | − | 0.507305i | −0.672184 | − | 0.740384i | \(-0.734644\pi\) |
−0.972458 | + | 0.233079i | \(0.925120\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.46458 | + | 1.68560i | −0.249163 | + | 0.0768567i | ||||
\(482\) | 12.6133 | + | 15.8166i | 0.574520 | + | 0.720425i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −18.2277 | + | 22.8568i | −0.828533 | + | 1.03895i | ||||
\(485\) | −4.09143 | + | 10.4248i | −0.185782 | + | 0.473366i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.37547 | − | 0.358044i | 0.107643 | − | 0.0162245i | −0.0949999 | − | 0.995477i | \(-0.530285\pi\) |
0.202643 | + | 0.979253i | \(0.435047\pi\) | |||||||
\(488\) | 2.88532 | − | 2.67719i | 0.130612 | − | 0.121191i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.93949 | + | 7.96412i | 0.313494 | + | 0.359782i | ||||
\(491\) | 19.0628 | 0.860291 | 0.430145 | − | 0.902760i | \(-0.358462\pi\) | ||||
0.430145 | + | 0.902760i | \(0.358462\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 46.7103 | − | 7.04045i | 2.10373 | − | 0.317086i | ||||
\(494\) | 0.770564 | − | 10.2825i | 0.0346693 | − | 0.462630i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.57263 | − | 3.22597i | 0.115514 | − | 0.144850i | ||||
\(497\) | −19.7290 | − | 27.6249i | −0.884968 | − | 1.23915i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.09302 | + | 1.57099i | −0.227995 | + | 0.0703271i | −0.406648 | − | 0.913585i | \(-0.633302\pi\) |
0.178653 | + | 0.983912i | \(0.442826\pi\) | |||||||
\(500\) | 6.67698 | + | 17.0127i | 0.298604 | + | 0.760829i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.662823 | − | 8.84475i | −0.0295832 | − | 0.394761i | ||||
\(503\) | 4.02465 | + | 17.6332i | 0.179450 | + | 0.786224i | 0.981884 | + | 0.189482i | \(0.0606810\pi\) |
−0.802434 | + | 0.596741i | \(0.796462\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.498028 | − | 2.18200i | 0.0221619 | − | 0.0970978i | ||||
\(506\) | 0.446244 | + | 0.0672604i | 0.0198380 | + | 0.00299009i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −25.0459 | + | 43.3807i | −1.11123 | + | 1.92471i | ||||
\(509\) | −12.7563 | − | 22.0945i | −0.565412 | − | 0.979323i | −0.997011 | − | 0.0772570i | \(-0.975384\pi\) |
0.431599 | − | 0.902066i | \(-0.357950\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.77983 | + | 2.73673i | −0.0787349 | + | 0.121066i | ||||
\(512\) | −17.8520 | + | 8.59707i | −0.788954 | + | 0.379940i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −7.96472 | − | 7.39018i | −0.351309 | − | 0.325967i | ||||
\(515\) | 9.76923 | + | 9.06452i | 0.430484 | + | 0.399431i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.15013 | − | 2.48017i | 0.226502 | − | 0.109078i | ||||
\(518\) | −3.13925 | + | 4.82703i | −0.137931 | + | 0.212088i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.38295 | − | 5.85944i | −0.148352 | − | 0.256953i | ||||
\(521\) | −10.7844 | + | 18.6791i | −0.472472 | + | 0.818345i | −0.999504 | − | 0.0315002i | \(-0.989972\pi\) |
0.527032 | + | 0.849846i | \(0.323305\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 24.0162 | + | 3.61986i | 1.05016 | + | 0.158285i | 0.651371 | − | 0.758759i | \(-0.274194\pi\) |
0.398784 | + | 0.917045i | \(0.369432\pi\) | |||||||
\(524\) | 11.2466 | − | 49.2747i | 0.491311 | − | 2.15257i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.98934 | − | 26.2410i | −0.261148 | − | 1.14416i | ||||
\(527\) | −0.957841 | − | 12.7815i | −0.0417242 | − | 0.556771i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.37078 | − | 21.3284i | −0.363947 | − | 0.927321i | ||||
\(530\) | −10.8285 | + | 3.34015i | −0.470360 | + | 0.145087i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.50954 | − | 4.91410i | −0.152158 | − | 0.213053i | ||||
\(533\) | −24.2044 | + | 30.3513i | −1.04841 | + | 1.31466i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.578388 | − | 7.71805i | 0.0250059 | − | 0.333680i | ||||
\(536\) | −22.9716 | + | 3.46241i | −0.992222 | + | 0.149553i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.4592 | −0.450927 | ||||||||
\(539\) | 4.87217 | − | 0.212352i | 0.209859 | − | 0.00914665i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.93408 | + | 5.50602i | −0.255126 | + | 0.236722i | −0.797358 | − | 0.603506i | \(-0.793770\pi\) |
0.542232 | + | 0.840229i | \(0.317579\pi\) | |||||||
\(542\) | −16.9521 | + | 2.55511i | −0.728153 | + | 0.109751i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −15.3988 | + | 39.2355i | −0.660218 | + | 1.68221i | ||||
\(545\) | −5.84419 | + | 7.32838i | −0.250337 | + | 0.313913i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.17296 | + | 3.97877i | 0.135666 | + | 0.170120i | 0.845024 | − | 0.534729i | \(-0.179586\pi\) |
−0.709358 | + | 0.704849i | \(0.751015\pi\) | |||||||
\(548\) | −12.9640 | + | 3.99888i | −0.553797 | + | 0.170824i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.58446 | + | 2.03104i | 0.280762 | + | 0.0866037i | ||||
\(551\) | 0.509723 | + | 6.80178i | 0.0217149 | + | 0.289766i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −12.2905 | + | 10.2470i | −0.522645 | + | 0.435749i | ||||
\(554\) | 7.96101 | − | 34.8795i | 0.338231 | − | 1.48189i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 38.4178 | − | 26.1928i | 1.62928 | − | 1.11082i | ||||
\(557\) | −10.4722 | + | 18.1384i | −0.443723 | + | 0.768550i | −0.997962 | − | 0.0638070i | \(-0.979676\pi\) |
0.554240 | + | 0.832357i | \(0.313009\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 19.1975 | + | 9.24502i | 0.811967 | + | 0.391023i | ||||
\(560\) | 3.13680 | + | 1.15292i | 0.132554 | + | 0.0487198i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −17.8392 | − | 12.1625i | −0.752501 | − | 0.513046i | ||||
\(563\) | 5.48255 | + | 5.08707i | 0.231062 | + | 0.214394i | 0.787203 | − | 0.616693i | \(-0.211528\pi\) |
−0.556141 | + | 0.831088i | \(0.687719\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.03876 | + | 2.75358i | 0.169912 | + | 0.115844i | ||||
\(566\) | 17.9274 | − | 8.63339i | 0.753546 | − | 0.362888i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 19.7248 | + | 9.49897i | 0.827635 | + | 0.398568i | ||||
\(569\) | 16.6322 | + | 28.8078i | 0.697257 | + | 1.20769i | 0.969414 | + | 0.245432i | \(0.0789298\pi\) |
−0.272156 | + | 0.962253i | \(0.587737\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −27.1777 | + | 18.5294i | −1.13735 | + | 0.775433i | −0.977339 | − | 0.211682i | \(-0.932106\pi\) |
−0.160012 | + | 0.987115i | \(0.551153\pi\) | |||||||
\(572\) | −11.0044 | − | 1.65865i | −0.460117 | − | 0.0693515i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.851220 | + | 39.0790i | 0.0355292 | + | 1.63113i | ||||
\(575\) | 0.298222 | + | 1.30660i | 0.0124367 | + | 0.0544888i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.7144 | + | 3.92188i | 0.529309 | + | 0.163270i | 0.547879 | − | 0.836557i | \(-0.315435\pi\) |
−0.0185706 | + | 0.999828i | \(0.505912\pi\) | |||||||
\(578\) | 12.2371 | + | 31.1797i | 0.508998 | + | 1.29690i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 9.94181 | + | 12.4666i | 0.412811 | + | 0.517649i | ||||
\(581\) | −9.11515 | − | 0.483750i | −0.378160 | − | 0.0200693i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.91134 | + | 4.87000i | −0.0791594 | + | 0.201695i | ||||
\(584\) | 0.157337 | − | 2.09951i | 0.00651064 | − | 0.0868784i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.30370 | + | 2.13752i | −0.0951648 | + | 0.0883001i | ||||
\(587\) | 38.0655 | 1.57113 | 0.785565 | − | 0.618779i | \(-0.212372\pi\) | ||||
0.785565 | + | 0.618779i | \(0.212372\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.85074 | 0.0762585 | ||||||||
\(590\) | 7.83090 | − | 7.26601i | 0.322393 | − | 0.299137i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.136136 | + | 1.81660i | −0.00559514 | + | 0.0746620i | ||||
\(593\) | 15.0534 | − | 38.3555i | 0.618169 | − | 1.57507i | −0.187216 | − | 0.982319i | \(-0.559947\pi\) |
0.805386 | − | 0.592751i | \(-0.201958\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 9.57880 | − | 4.00226i | 0.392692 | − | 0.164077i | ||||
\(596\) | 37.1863 | + | 46.6302i | 1.52321 | + | 1.91005i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.35960 | − | 3.46421i | −0.0555982 | − | 0.141662i | ||||
\(599\) | −24.9427 | − | 7.69379i | −1.01913 | − | 0.314360i | −0.260216 | − | 0.965551i | \(-0.583794\pi\) |
−0.758914 | + | 0.651191i | \(0.774270\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.87265 | − | 34.4924i | −0.321132 | − | 1.40697i | −0.835541 | − | 0.549427i | \(-0.814846\pi\) |
0.514409 | − | 0.857545i | \(-0.328011\pi\) | |||||||
\(602\) | 20.8076 | − | 5.22842i | 0.848055 | − | 0.213095i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 15.3905 | + | 2.31975i | 0.626232 | + | 0.0943893i | ||||
\(605\) | 5.99610 | − | 4.08808i | 0.243776 | − | 0.166204i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.58531 | + | 2.74584i | 0.0643457 | + | 0.111450i | 0.896404 | − | 0.443239i | \(-0.146171\pi\) |
−0.832058 | + | 0.554689i | \(0.812837\pi\) | |||||||
\(608\) | −5.48335 | − | 2.64064i | −0.222379 | − | 0.107092i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.13628 | + | 1.51035i | −0.126984 | + | 0.0611525i | ||||
\(611\) | −38.9473 | − | 26.5538i | −1.57564 | − | 1.07425i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.96550 | − | 3.67944i | −0.160165 | − | 0.148611i | 0.596019 | − | 0.802970i | \(-0.296748\pi\) |
−0.756184 | + | 0.654359i | \(0.772939\pi\) | |||||||
\(614\) | 53.3046 | + | 36.3425i | 2.15120 | + | 1.46666i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.68889 | + | 1.63152i | −0.108338 | + | 0.0657357i | ||||
\(617\) | −9.92557 | − | 4.77990i | −0.399588 | − | 0.192432i | 0.223287 | − | 0.974753i | \(-0.428321\pi\) |
−0.622875 | + | 0.782321i | \(0.714036\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.28616 | + | 7.42385i | −0.172275 | + | 0.298390i | −0.939215 | − | 0.343329i | \(-0.888445\pi\) |
0.766940 | + | 0.641719i | \(0.221779\pi\) | |||||||
\(620\) | 3.57478 | − | 2.43724i | 0.143567 | − | 0.0978820i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.13812 | − | 9.36773i | 0.0857309 | − | 0.375612i | ||||
\(623\) | −14.0097 | − | 27.5407i | −0.561288 | − | 1.10339i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.35123 | + | 18.0309i | 0.0540492 | + | 0.721236i | ||||
\(626\) | −40.6863 | − | 12.5501i | −1.62615 | − | 0.501601i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 47.8519 | − | 14.7604i | 1.90950 | − | 0.589002i | ||||
\(629\) | 3.52822 | + | 4.42425i | 0.140680 | + | 0.176407i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.2164 | − | 32.8743i | 1.04366 | − | 1.30870i | 0.0939461 | − | 0.995577i | \(-0.470052\pi\) |
0.949711 | − | 0.313128i | \(-0.101377\pi\) | |||||||
\(632\) | 3.77029 | − | 9.60655i | 0.149974 | − | 0.382128i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.91998 | − | 0.741568i | 0.195398 | − | 0.0294514i | ||||
\(635\) | 9.11509 | − | 8.45757i | 0.361721 | − | 0.335628i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −21.6054 | − | 33.9194i | −0.856037 | − | 1.34393i | ||||
\(638\) | 12.6569 | 0.501090 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −8.60694 | + | 1.29729i | −0.340219 | + | 0.0512798i | ||||
\(641\) | −2.61290 | + | 34.8667i | −0.103203 | + | 1.37715i | 0.669701 | + | 0.742631i | \(0.266422\pi\) |
−0.772905 | + | 0.634522i | \(0.781197\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.3286 | + | 15.4596i | −0.486194 | + | 0.609668i | −0.963053 | − | 0.269312i | \(-0.913204\pi\) |
0.476859 | + | 0.878980i | \(0.341775\pi\) | |||||||
\(644\) | −1.91071 | − | 1.04835i | −0.0752925 | − | 0.0413106i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.75014 | + | 3.00752i | −0.383614 | + | 0.118329i | ||||
\(647\) | 8.18512 | + | 20.8553i | 0.321790 | + | 0.819908i | 0.996636 | + | 0.0819499i | \(0.0261147\pi\) |
−0.674846 | + | 0.737958i | \(0.735790\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.368558 | − | 4.91807i | −0.0144672 | − | 0.193051i | ||||
\(650\) | −12.6442 | − | 55.3977i | −0.495945 | − | 2.17288i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.71029 | − | 7.49326i | 0.0669801 | − | 0.293459i | ||||
\(653\) | 15.2976 | + | 2.30574i | 0.598640 | + | 0.0902305i | 0.441370 | − | 0.897325i | \(-0.354493\pi\) |
0.157270 | + | 0.987556i | \(0.449731\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.27309 | + | 10.8653i | −0.245110 | + | 0.424543i | ||||
\(656\) | 6.18327 | + | 10.7097i | 0.241416 | + | 0.418145i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −47.2417 | + | 4.57676i | −1.84167 | + | 0.178421i | ||||
\(659\) | 17.3346 | − | 8.34789i | 0.675259 | − | 0.325188i | −0.0646370 | − | 0.997909i | \(-0.520589\pi\) |
0.739896 | + | 0.672721i | \(0.234875\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.40622 | − | 1.30478i | −0.0546955 | − | 0.0507500i | 0.652352 | − | 0.757917i | \(-0.273783\pi\) |
−0.707047 | + | 0.707167i | \(0.749973\pi\) | |||||||
\(662\) | 2.07286 | + | 1.92333i | 0.0805639 | + | 0.0747523i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.30385 | − | 2.55420i | 0.205829 | − | 0.0991222i | ||||
\(665\) | 0.472925 | + | 1.42244i | 0.0183392 | + | 0.0551597i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.23086 | + | 2.13191i | 0.0476591 | + | 0.0825480i | ||||
\(668\) | 1.94998 | − | 3.37746i | 0.0754470 | − | 0.130678i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 20.3159 | + | 3.06214i | 0.784873 | + | 0.118301i | ||||
\(671\) | −0.357611 | + | 1.56679i | −0.0138054 | + | 0.0604854i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.80122 | − | 25.4168i | −0.223620 | − | 0.979745i | −0.954727 | − | 0.297482i | \(-0.903853\pi\) |
0.731107 | − | 0.682263i | \(-0.239004\pi\) | |||||||
\(674\) | 1.19443 | + | 15.9385i | 0.0460076 | + | 0.613928i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 20.3225 | + | 51.7809i | 0.781635 | + | 1.99157i | ||||
\(677\) | 9.71012 | − | 2.99518i | 0.373190 | − | 0.115114i | −0.102486 | − | 0.994734i | \(-0.532680\pi\) |
0.475676 | + | 0.879620i | \(0.342203\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.32123 | − | 42.3007i | −0.280963 | − | 1.62335i | ||||
\(680\) | −4.17435 | + | 5.23447i | −0.160079 | + | 0.200733i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.256643 | − | 3.42466i | 0.00982736 | − | 0.131137i | ||||
\(683\) | 32.7937 | − | 4.94285i | 1.25482 | − | 0.189133i | 0.512209 | − | 0.858861i | \(-0.328827\pi\) |
0.742607 | + | 0.669728i | \(0.233589\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.36773 | 0.128674 | ||||||||
\(686\) | −38.5793 | − | 12.3012i | −1.47296 | − | 0.469661i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.97569 | − | 4.61676i | 0.189696 | − | 0.176012i | ||||
\(689\) | 42.6603 | − | 6.43000i | 1.62523 | − | 0.244964i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.28188 | − | 23.6498i | 0.353099 | − | 0.899682i | −0.638416 | − | 0.769692i | \(-0.720410\pi\) |
0.991515 | − | 0.129991i | \(-0.0414948\pi\) | |||||||
\(692\) | −10.6588 | + | 13.3658i | −0.405188 | + | 0.508090i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 36.4208 | + | 45.6703i | 1.38252 | + | 1.73362i | ||||
\(695\) | −11.0294 | + | 3.40211i | −0.418368 | + | 0.129049i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 36.7081 | + | 11.3230i | 1.39042 | + | 0.428887i | ||||
\(698\) | 1.05184 | + | 14.0358i | 0.0398126 | + | 0.531263i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −26.4628 | − | 20.1765i | −1.00020 | − | 0.762598i | ||||
\(701\) | 1.83588 | − | 8.04351i | 0.0693402 | − | 0.303799i | −0.928352 | − | 0.371703i | \(-0.878774\pi\) |
0.997692 | + | 0.0679038i | \(0.0216311\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.675119 | + | 0.460289i | −0.0254626 | + | 0.0173601i | ||||
\(704\) | −4.37166 | + | 7.57194i | −0.164763 | + | 0.285378i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 12.6474 | + | 6.09065i | 0.475990 | + | 0.229225i | ||||
\(707\) | 2.70679 | + | 8.14132i | 0.101799 | + | 0.306186i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.2958 | + | 7.70134i | 0.424222 | + | 0.289230i | 0.756552 | − | 0.653933i | \(-0.226882\pi\) |
−0.332330 | + | 0.943163i | \(0.607835\pi\) | |||||||
\(710\) | −14.1933 | − | 13.1695i | −0.532665 | − | 0.494241i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 16.4649 | + | 11.2256i | 0.617050 | + | 0.420697i | ||||
\(713\) | 0.601805 | − | 0.289814i | 0.0225378 | − | 0.0108536i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.48894 | + | 1.19861i | 0.0930812 | + | 0.0448255i | ||||
\(716\) | 16.5392 | + | 28.6467i | 0.618099 | + | 1.07058i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 38.3189 | − | 26.1254i | 1.43005 | − | 0.974991i | ||||
\(719\) | −11.2512 | − | 1.69585i | −0.419600 | − | 0.0632445i | −0.0641510 | − | 0.997940i | \(-0.520434\pi\) |
−0.355449 | + | 0.934696i | \(0.615672\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −50.0413 | − | 10.2805i | −1.86363 | − | 0.382865i | ||||
\(722\) | 8.91610 | + | 39.0640i | 0.331823 | + | 1.45381i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −36.8130 | − | 11.3553i | −1.36814 | − | 0.422017i | ||||
\(725\) | 13.7323 | + | 34.9893i | 0.510005 | + | 1.29947i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 24.4353 | + | 30.6409i | 0.906255 | + | 1.13641i | 0.990161 | + | 0.139935i | \(0.0446892\pi\) |
−0.0839053 | + | 0.996474i | \(0.526739\pi\) | |||||||
\(728\) | 22.7384 | + | 12.4758i | 0.842741 | + | 0.462385i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.680266 | + | 1.73329i | −0.0251778 | + | 0.0641519i | ||||
\(731\) | 1.57567 | − | 21.0258i | 0.0582781 | − | 0.777667i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.91960 | − | 5.49259i | 0.218645 | − | 0.202873i | −0.563244 | − | 0.826291i | \(-0.690447\pi\) |
0.781889 | + | 0.623418i | \(0.214256\pi\) | |||||||
\(734\) | −19.0371 | −0.702672 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.19653 | −0.0809650 | ||||||||
\(737\) | 6.95318 | − | 6.45161i | 0.256124 | − | 0.237648i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.67910 | + | 22.4061i | −0.0617668 | + | 0.824221i | 0.877181 | + | 0.480160i | \(0.159422\pi\) |
−0.938948 | + | 0.344060i | \(0.888198\pi\) | |||||||
\(740\) | −0.697864 | + | 1.77813i | −0.0256540 | + | 0.0653653i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 28.8458 | − | 32.4792i | 1.05896 | − | 1.19235i | ||||
\(743\) | 8.75745 | + | 10.9815i | 0.321280 | + | 0.402872i | 0.916076 | − | 0.401004i | \(-0.131339\pi\) |
−0.594796 | + | 0.803876i | \(0.702767\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.40895 | − | 13.7818i | −0.198169 | − | 0.504926i | ||||
\(746\) | 38.6431 | + | 11.9198i | 1.41482 | + | 0.436415i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.45047 | + | 10.7362i | 0.0895981 | + | 0.392555i | ||||
\(749\) | 13.4520 | + | 26.4442i | 0.491524 | + | 0.966250i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −44.0912 | − | 6.64568i | −1.60891 | − | 0.242504i | −0.717786 | − | 0.696264i | \(-0.754844\pi\) |
−0.891124 | + | 0.453759i | \(0.850083\pi\) | |||||||
\(752\) | −12.4068 | + | 8.45883i | −0.452430 | + | 0.308462i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −52.1866 | − | 90.3899i | −1.90053 | − | 3.29181i | ||||
\(755\) | −3.48098 | − | 1.67635i | −0.126686 | − | 0.0610087i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.83541 | − | 2.81019i | 0.212092 | − | 0.102138i | −0.324822 | − | 0.945775i | \(-0.605304\pi\) |
0.536914 | + | 0.843637i | \(0.319590\pi\) | |||||||
\(758\) | −19.2723 | − | 13.1396i | −0.700001 | − | 0.477253i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.708667 | − | 0.657547i | −0.0257060 | − | 0.0238517i | ||||
\(761\) | 6.28065 | + | 4.28208i | 0.227673 | + | 0.155225i | 0.671785 | − | 0.740747i | \(-0.265528\pi\) |
−0.444111 | + | 0.895972i | \(0.646480\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.58029 | − | 35.6383i | 0.165818 | − | 1.29019i | ||||
\(764\) | −33.0781 | − | 15.9296i | −1.19672 | − | 0.576312i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 10.1540 | − | 17.5873i | 0.366879 | − | 0.635454i | ||||
\(767\) | −33.6031 | + | 22.9102i | −1.21334 | + | 0.827240i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6.36795 | + | 27.8998i | −0.229634 | + | 1.00609i | 0.720305 | + | 0.693658i | \(0.244002\pi\) |
−0.949939 | + | 0.312435i | \(0.898855\pi\) | |||||||
\(770\) | 2.69769 | − | 0.677862i | 0.0972181 | − | 0.0244285i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.63424 | + | 61.8397i | 0.166790 | + | 2.22566i | ||||
\(773\) | 40.5910 | + | 12.5207i | 1.45996 | + | 0.450337i | 0.920189 | − | 0.391475i | \(-0.128035\pi\) |
0.539770 | + | 0.841813i | \(0.318511\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.74577 | − | 3.00617i | 0.350078 | − | 0.107985i | ||||
\(776\) | 17.2621 | + | 21.6460i | 0.619673 | + | 0.777045i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 39.6740 | − | 49.7496i | 1.42238 | − | 1.78361i | ||||
\(779\) | −2.02649 | + | 5.16341i | −0.0726066 | + | 0.184999i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.83904 | + | 1.33227i | −0.316286 | + | 0.0476724i | ||||
\(782\) | −2.69949 | + | 2.50476i | −0.0965336 | + | 0.0895701i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −12.5727 | + | 2.45916i | −0.449025 | + | 0.0878272i | ||||
\(785\) | −12.4307 | −0.443671 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 20.5450 | − | 3.09667i | 0.732352 | − | 0.110384i | 0.227729 | − | 0.973724i | \(-0.426870\pi\) |
0.504622 | + | 0.863340i | \(0.331632\pi\) | |||||||
\(788\) | −5.60561 | + | 74.8017i | −0.199692 | + | 2.66470i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.69052 | + | 7.13568i | −0.202460 | + | 0.253876i | ||||
\(791\) | −18.7116 | − | 0.993044i | −0.665308 | − | 0.0353086i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.6639 | − | 3.90629i | 0.449707 | − | 0.138716i | ||||
\(794\) | −1.75402 | − | 4.46916i | −0.0622478 | − | 0.158605i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.554733 | + | 7.40240i | 0.0196620 | + | 0.262371i | ||||
\(797\) | −10.4895 | − | 45.9577i | −0.371559 | − | 1.62791i | −0.722404 | − | 0.691472i | \(-0.756963\pi\) |
0.350845 | − | 0.936434i | \(-0.385894\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10.3795 | + | 45.4755i | −0.367200 | + | 1.60881i | ||||
\(800\) | −33.1638 | − | 4.99864i | −1.17252 | − | 0.176729i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −7.74112 | + | 13.4080i | −0.273348 | + | 0.473453i | ||||
\(803\) | 0.429818 | + | 0.744466i | 0.0151679 | + | 0.0262716i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.376525 | + | 0.388476i | 0.0132708 | + | 0.0136920i | ||||
\(806\) | −25.5156 | + | 12.2877i | −0.898750 | + | 0.432815i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.05606 | − | 3.76347i | −0.142692 | − | 0.132398i | ||||
\(809\) | −26.7020 | − | 24.7759i | −0.938793 | − | 0.871073i | 0.0530428 | − | 0.998592i | \(-0.483108\pi\) |
−0.991836 | + | 0.127519i | \(0.959298\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −29.1508 | + | 14.0383i | −1.02362 | + | 0.492951i | −0.868890 | − | 0.495005i | \(-0.835166\pi\) |
−0.154734 | + | 0.987956i | \(0.549452\pi\) | |||||||
\(812\) | −57.3720 | − | 21.0869i | −2.01336 | − | 0.740006i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.758110 | + | 1.31309i | 0.0265718 | + | 0.0460236i | ||||
\(815\) | −0.953958 | + | 1.65230i | −0.0334157 | + | 0.0578777i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.01050 | + | 0.453760i | 0.105324 | + | 0.0158751i | ||||
\(818\) | 11.2160 | − | 49.1403i | 0.392157 | − | 1.71815i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.88546 | + | 12.6420i | 0.100764 | + | 0.441478i | ||||
\(821\) | −0.288943 | − | 3.85567i | −0.0100842 | − | 0.134564i | 0.989889 | − | 0.141842i | \(-0.0453024\pi\) |
−0.999974 | + | 0.00727786i | \(0.997683\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.4588 | − | 26.6485i | −0.364570 | − | 0.928910i | −0.989012 | − | 0.147838i | \(-0.952769\pi\) |
0.624441 | − | 0.781072i | \(-0.285327\pi\) | |||||||
\(824\) | 31.4830 | − | 9.71122i | 1.09676 | − | 0.338307i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −11.2153 | + | 39.3845i | −0.390230 | + | 1.37036i | ||||
\(827\) | −8.91929 | + | 11.1844i | −0.310154 | + | 0.388921i | −0.912339 | − | 0.409436i | \(-0.865726\pi\) |
0.602185 | + | 0.798357i | \(0.294297\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −0.216207 | + | 2.88508i | −0.00750917 | + | 0.100203i | −0.999699 | − | 0.0245343i | \(-0.992190\pi\) |
0.992190 | + | 0.124737i | \(0.0398088\pi\) | |||||||
\(830\) | −5.14813 | + | 0.775956i | −0.178694 | + | 0.0269338i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 72.1007 | 2.49964 | ||||||||
\(833\) | −23.4336 | + | 32.1641i | −0.811927 | + | 1.11442i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.709668 | + | 0.658476i | −0.0245591 | + | 0.0227875i | ||||
\(836\) | −1.57235 | + | 0.236993i | −0.0543808 | + | 0.00819659i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −13.5508 | + | 34.5270i | −0.468106 | + | 1.19271i | ||||
\(839\) | 18.5992 | − | 23.3227i | 0.642116 | − | 0.805187i | −0.349150 | − | 0.937067i | \(-0.613530\pi\) |
0.991266 | + | 0.131879i | \(0.0421011\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 24.9659 | + | 31.3063i | 0.860894 | + | 1.07953i | ||||
\(842\) | −66.1620 | + | 20.4083i | −2.28009 | + | 0.703315i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −66.4803 | − | 20.5065i | −2.28835 | − | 0.705861i | ||||
\(845\) | −1.03189 | − | 13.7697i | −0.0354982 | − | 0.473691i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −11.5216 | + | 25.3210i | −0.395886 | + | 0.870042i | ||||
\(848\) | 3.05813 | − | 13.3985i | 0.105017 | − | 0.460108i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −46.4579 | + | 31.6744i | −1.59349 | + | 1.08642i | ||||
\(851\) | −0.147450 | + | 0.255391i | −0.00505452 | + | 0.00875469i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −26.7627 | − | 12.8882i | −0.916338 | − | 0.441285i | −0.0845758 | − | 0.996417i | \(-0.526954\pi\) |
−0.831762 | + | 0.555132i | \(0.812668\pi\) | |||||||
\(854\) | 7.27505 | − | 11.1864i | 0.248947 | − | 0.382790i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −15.8094 | − | 10.7787i | −0.540355 | − | 0.368408i | ||||
\(857\) | 12.3346 | + | 11.4448i | 0.421341 | + | 0.390947i | 0.862150 | − | 0.506654i | \(-0.169118\pi\) |
−0.440809 | + | 0.897601i | \(0.645308\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.54751 | − | 3.10044i | −0.155159 | − | 0.105786i | 0.483252 | − | 0.875481i | \(-0.339456\pi\) |
−0.638411 | + | 0.769696i | \(0.720408\pi\) | |||||||
\(860\) | 6.41245 | − | 3.08807i | 0.218663 | − | 0.105302i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.3036 | + | 11.7040i | 0.827783 | + | 0.398639i | ||||
\(863\) | −22.9564 | − | 39.7617i | −0.781446 | − | 1.35350i | −0.931099 | − | 0.364766i | \(-0.881149\pi\) |
0.149653 | − | 0.988739i | \(-0.452184\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.50628 | − | 2.39054i | 0.119217 | − | 0.0812809i | ||||
\(866\) | −23.3430 | − | 3.51838i | −0.793226 | − | 0.119560i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6.86897 | + | 15.0960i | −0.233148 | + | 0.512391i | ||||
\(869\) | 0.937621 | + | 4.10798i | 0.0318066 | + | 0.139354i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −74.7439 | − | 23.0554i | −2.53260 | − | 0.781204i | ||||
\(872\) | 8.46603 | + | 21.5711i | 0.286696 | + | 0.730490i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.331531 | − | 0.415727i | −0.0112142 | − | 0.0140622i | ||||
\(875\) | 10.1072 | + | 14.1523i | 0.341686 | + | 0.478434i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.463978 | + | 1.18220i | −0.0156674 | + | 0.0399199i | −0.938493 | − | 0.345297i | \(-0.887778\pi\) |
0.922826 | + | 0.385217i | \(0.125873\pi\) | |||||||
\(878\) | 2.18854 | − | 29.2040i | 0.0738595 | − | 0.985587i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.645095 | − | 0.598560i | 0.0217461 | − | 0.0201775i | ||||
\(881\) | −18.1649 | −0.611991 | −0.305995 | − | 0.952033i | \(-0.598989\pi\) | ||||
−0.305995 | + | 0.952033i | \(0.598989\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 19.7422 | 0.664379 | 0.332190 | − | 0.943213i | \(-0.392213\pi\) | ||||
0.332190 | + | 0.943213i | \(0.392213\pi\) | |||||||
\(884\) | 66.5697 | − | 61.7676i | 2.23898 | − | 2.07747i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.71610 | + | 62.9319i | −0.158440 | + | 2.11424i | ||||
\(887\) | −5.93625 | + | 15.1253i | −0.199320 | + | 0.507859i | −0.995230 | − | 0.0975560i | \(-0.968897\pi\) |
0.795910 | + | 0.605415i | \(0.206993\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.0545 | + | 45.8432i | −0.437833 | + | 1.53753i | ||||
\(890\) | −10.9883 | − | 13.7789i | −0.368328 | − | 0.461869i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 19.5168 | + | 49.7280i | 0.653471 | + | 1.66502i | ||||
\(893\) | −6.43602 | − | 1.98525i | −0.215373 | − | 0.0664338i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.82716 | − | 8.00530i | −0.0610751 | − | 0.267588i | ||||
\(896\) | 25.6275 | − | 21.3666i | 0.856154 | − | 0.713808i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −35.3195 | − | 5.32356i | −1.17863 | − | 0.177649i | ||||
\(899\) | 15.4785 | − | 10.5530i | 0.516235 | − | 0.351963i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −21.3455 | − | 36.9714i | −0.711120 | − | 1.23170i | ||||
\(902\) | 9.27350 | + | 4.46588i | 0.308774 | + | 0.148698i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.8878 | − | 5.24328i | 0.362122 | − | 0.174389i | ||||
\(905\) | 7.90139 | + | 5.38708i | 0.262651 | + | 0.179073i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 19.1062 | + | 17.7279i | 0.634409 | + | 0.588646i | 0.930400 | − | 0.366545i | \(-0.119459\pi\) |
−0.295991 | + | 0.955191i | \(0.595650\pi\) | |||||||
\(908\) | −0.0623748 | − | 0.0425264i | −0.00206998 | − | 0.00141129i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −15.9641 | − | 16.4708i | −0.529205 | − | 0.546002i | ||||
\(911\) | −0.251008 | − | 0.120879i | −0.00831628 | − | 0.00400491i | 0.429721 | − | 0.902962i | \(-0.358612\pi\) |
−0.438037 | + | 0.898957i | \(0.644326\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.20180 | + | 2.08158i | −0.0397737 | + | 0.0688901i | ||||
\(914\) | 43.8709 | − | 29.9106i | 1.45112 | − | 0.989356i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.99336 | − | 13.1148i | 0.0989033 | − | 0.433324i | ||||
\(917\) | −1.04734 | − | 48.0826i | −0.0345861 | − | 1.58783i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.596204 | + | 7.95579i | 0.0196670 | + | 0.262437i | 0.998366 | + | 0.0571383i | \(0.0181976\pi\) |
−0.978699 | + | 0.205299i | \(0.934183\pi\) | |||||||
\(920\) | −0.333404 | − | 0.102842i | −0.0109920 | − | 0.00339059i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 61.1576 | − | 18.8646i | 2.01412 | − | 0.621274i | ||||
\(923\) | 45.9595 | + | 57.6314i | 1.51278 | + | 1.89696i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.80744 | + | 3.52042i | −0.0923081 | + | 0.115751i | ||||
\(926\) | 11.9469 | − | 30.4402i | 0.392600 | − | 1.00033i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −60.9164 | + | 9.18167i | −1.99968 | + | 0.301403i | ||||
\(929\) | 39.0054 | − | 36.1917i | 1.27973 | − | 1.18741i | 0.307977 | − | 0.951394i | \(-0.400348\pi\) |
0.971749 | − | 0.236018i | \(-0.0758423\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.37844 | − | 3.72127i | −0.143498 | − | 0.121960i | ||||
\(932\) | 3.05420 | 0.100044 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 27.8013 | − | 4.19037i | 0.909685 | − | 0.137113i | ||||
\(935\) | 0.204284 | − | 2.72598i | 0.00668081 | − | 0.0891492i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.158463 | + | 0.198707i | −0.00517677 | + | 0.00649147i | −0.784413 | − | 0.620239i | \(-0.787036\pi\) |
0.779236 | + | 0.626730i | \(0.215607\pi\) | |||||||
\(938\) | −72.6697 | + | 30.3632i | −2.37275 | + | 0.991395i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −15.0458 | + | 4.64101i | −0.490739 | + | 0.151373i | ||||
\(941\) | −21.2919 | − | 54.2508i | −0.694096 | − | 1.76853i | −0.637915 | − | 0.770106i | \(-0.720203\pi\) |
−0.0561803 | − | 0.998421i | \(-0.517892\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.149603 | + | 1.99632i | 0.00487176 | + | 0.0650091i | ||||
\(944\) | 2.88289 | + | 12.6308i | 0.0938302 | + | 0.411097i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.25712 | − | 5.50778i | 0.0408723 | − | 0.179073i | ||||
\(947\) | 11.7746 | + | 1.77473i | 0.382622 | + | 0.0576710i | 0.337537 | − | 0.941312i | \(-0.390406\pi\) |
0.0450849 | + | 0.998983i | \(0.485644\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.54444 | − | 6.13915i | 0.115057 | − | 0.199285i | ||||
\(950\) | −4.05949 | − | 7.03125i | −0.131707 | − | 0.228124i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.27158 | − | 25.4555i | 0.106033 | − | 0.825017i | ||||
\(953\) | 30.9504 | − | 14.9049i | 1.00258 | − | 0.482817i | 0.140767 | − | 0.990043i | \(-0.455043\pi\) |
0.861814 | + | 0.507225i | \(0.169329\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 6.68076 | + | 6.19884i | 0.216184 | + | 0.200590i | ||||
\(956\) | −8.06498 | − | 7.48321i | −0.260840 | − | 0.242024i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 74.2024 | − | 35.7340i | 2.39737 | − | 1.15451i | ||||
\(959\) | −11.0369 | + | 6.69680i | −0.356401 | + | 0.216251i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.9584 | + | 22.4447i | 0.418014 | + | 0.724022i | ||||
\(962\) | 6.25166 | − | 10.8282i | 0.201562 | − | 0.349115i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −25.4389 | − | 3.83429i | −0.819330 | − | 0.123494i | ||||
\(965\) | 3.42543 | − | 15.0078i | 0.110268 | − | 0.483117i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.97106 | − | 21.7796i | −0.159859 | − | 0.700386i | −0.989791 | − | 0.142523i | \(-0.954479\pi\) |
0.829933 | − | 0.557863i | \(-0.188379\pi\) | |||||||
\(968\) | −1.34074 | − | 17.8910i | −0.0430932 | − | 0.575038i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.94558 | − | 22.7930i | −0.287225 | − | 0.731838i | ||||
\(971\) | 19.5585 | − | 6.03300i | 0.627662 | − | 0.193608i | 0.0354257 | − | 0.999372i | \(-0.488721\pi\) |
0.592237 | + | 0.805764i | \(0.298245\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 29.3809 | − | 33.0817i | 0.941910 | − | 1.06055i | ||||
\(974\) | −3.27483 | + | 4.10651i | −0.104932 | + | 0.131581i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.315487 | − | 4.20989i | 0.0100985 | − | 0.134755i | ||||
\(977\) | 17.3867 | − | 2.62062i | 0.556249 | − | 0.0838410i | 0.135099 | − | 0.990832i | \(-0.456865\pi\) |
0.421150 | + | 0.906991i | \(0.361627\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.13644 | −0.260042 | ||||||||
\(980\) | −13.3577 | − | 1.42181i | −0.426695 | − | 0.0454182i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −30.5530 | + | 28.3490i | −0.974984 | + | 0.904653i | ||||
\(983\) | 11.0269 | − | 1.66204i | 0.351703 | − | 0.0530108i | 0.0291852 | − | 0.999574i | \(-0.490709\pi\) |
0.322518 | + | 0.946563i | \(0.395471\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.80278 | − | 17.3332i | 0.216755 | − | 0.552282i | ||||
\(986\) | −64.3951 | + | 80.7489i | −2.05076 | + | 2.57157i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.17559 | + | 10.2519i | 0.260100 | + | 0.326155i | ||||
\(989\) | 1.04998 | − | 0.323875i | 0.0333874 | − | 0.0102986i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.70837 | + | 0.526962i | 0.0542681 | + | 0.0167395i | 0.321770 | − | 0.946818i | \(-0.395722\pi\) |
−0.267502 | + | 0.963557i | \(0.586198\pi\) | |||||||
\(992\) | 1.24915 | + | 16.6688i | 0.0396606 | + | 0.529234i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 72.7029 | + | 14.9361i | 2.30600 | + | 0.473744i | ||||
\(995\) | 0.410034 | − | 1.79648i | 0.0129990 | − | 0.0569522i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 31.6896 | − | 21.6056i | 1.00362 | − | 0.684257i | 0.0542866 | − | 0.998525i | \(-0.482712\pi\) |
0.949334 | + | 0.314268i | \(0.101759\pi\) | |||||||
\(998\) | 5.82659 | − | 10.0919i | 0.184437 | − | 0.319455i | ||||
\(999\) | 0 | 0 |
(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 | 441.2.bb.e.109.1 | 60 | ||
3.2 | odd | 2 | 147.2.m.b.109.5 | yes | 60 | ||
49.9 | even | 21 | inner | 441.2.bb.e.352.1 | 60 | ||
147.95 | odd | 42 | 7203.2.a.n.1.4 | 30 | |||
147.101 | even | 42 | 7203.2.a.m.1.4 | 30 | |||
147.107 | odd | 42 | 147.2.m.b.58.5 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.m.b.58.5 | ✓ | 60 | 147.107 | odd | 42 | ||
147.2.m.b.109.5 | yes | 60 | 3.2 | odd | 2 | ||
441.2.bb.e.109.1 | 60 | 1.1 | even | 1 | trivial | ||
441.2.bb.e.352.1 | 60 | 49.9 | even | 21 | inner | ||
7203.2.a.m.1.4 | 30 | 147.101 | even | 42 | |||
7203.2.a.n.1.4 | 30 | 147.95 | odd | 42 |