Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(9,460)]
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, 11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.s (of order \(22\), 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: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 449.5 | ||
Character | \(\chi\) | \(=\) | 460.449 |
Dual form | 460.2.s.a.209.5 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{10}{11}\right)\) |
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 | ||||||||
\(3\) | −0.768762 | − | 0.110531i | −0.443845 | − | 0.0638152i | −0.0832306 | − | 0.996530i | \(-0.526524\pi\) |
−0.360614 | + | 0.932715i | \(0.617433\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.82650 | + | 1.28992i | −0.816837 | + | 0.576868i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.41290 | − | 2.09079i | 0.911991 | − | 0.790244i | −0.0662318 | − | 0.997804i | \(-0.521098\pi\) |
0.978222 | + | 0.207560i | \(0.0665522\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.29970 | − | 0.675253i | −0.766567 | − | 0.225084i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.09680 | + | 1.99019i | 0.933720 | + | 0.600065i | 0.916608 | − | 0.399788i | \(-0.130916\pi\) |
0.0171124 | + | 0.999854i | \(0.494553\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.64776 | + | 1.42779i | 0.457006 | + | 0.395998i | 0.852714 | − | 0.522378i | \(-0.174955\pi\) |
−0.395708 | + | 0.918377i | \(0.629501\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.54672 | − | 0.789752i | 0.399362 | − | 0.203913i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 6.67285 | − | 3.04739i | 1.61840 | − | 0.739101i | 0.619460 | − | 0.785028i | \(-0.287352\pi\) |
0.998945 | + | 0.0459273i | \(0.0146242\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.21721 | + | 2.66533i | −0.279248 | + | 0.611468i | −0.996337 | − | 0.0855139i | \(-0.972747\pi\) |
0.717089 | + | 0.696982i | \(0.245474\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.08604 | + | 1.34062i | −0.455212 | + | 0.292547i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.38042 | + | 1.95241i | 0.913381 | + | 0.407107i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.67223 | − | 4.71207i | 0.334447 | − | 0.942415i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.81273 | + | 1.74122i | 0.733760 | + | 0.335097i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.38433 | + | 5.22096i | 0.442759 | + | 0.969508i | 0.991084 | + | 0.133242i | \(0.0425387\pi\) |
−0.548324 | + | 0.836266i | \(0.684734\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.218648 | − | 1.52073i | −0.0392704 | − | 0.273131i | 0.960720 | − | 0.277520i | \(-0.0895123\pi\) |
−0.999990 | + | 0.00438809i | \(0.998603\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.16072 | − | 1.87228i | −0.376133 | − | 0.325921i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.71023 | + | 6.93127i | −0.289082 | + | 1.17160i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.256558 | − | 0.873758i | 0.0421780 | − | 0.143645i | −0.935712 | − | 0.352765i | \(-0.885242\pi\) |
0.977890 | + | 0.209120i | \(0.0670598\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.10892 | − | 1.27976i | −0.177569 | − | 0.204926i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.53126 | − | 1.62412i | 0.863838 | − | 0.253646i | 0.180345 | − | 0.983603i | \(-0.442278\pi\) |
0.683492 | + | 0.729958i | \(0.260460\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.96839 | − | 0.570568i | −0.605173 | − | 0.0870108i | −0.167085 | − | 0.985943i | \(-0.553435\pi\) |
−0.438089 | + | 0.898932i | \(0.644344\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.07143 | − | 1.73307i | 0.756005 | − | 0.258351i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.46950i | 0.651944i | 0.945379 | + | 0.325972i | \(0.105692\pi\) | ||||
−0.945379 | + | 0.325972i | \(0.894308\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.454481 | − | 3.16098i | 0.0649258 | − | 0.451569i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.46667 | + | 1.60516i | −0.765487 | + | 0.224767i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.82976 | − | 6.78453i | 1.07550 | − | 0.931927i | 0.0776191 | − | 0.996983i | \(-0.475268\pi\) |
0.997882 | + | 0.0650564i | \(0.0207227\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.22350 | + | 0.359516i | −1.10886 | + | 0.0484771i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.23035 | − | 1.91446i | 0.162964 | − | 0.253576i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.621592 | + | 0.717356i | −0.0809244 | + | 0.0933918i | −0.794768 | − | 0.606914i | \(-0.792407\pi\) |
0.713843 | + | 0.700305i | \(0.246953\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.46762 | − | 10.2075i | −0.187910 | − | 1.30694i | −0.837408 | − | 0.546579i | \(-0.815930\pi\) |
0.649498 | − | 0.760363i | \(-0.274979\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.96076 | + | 3.17887i | −0.876974 | + | 0.400500i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.85137 | − | 0.482397i | −0.601738 | − | 0.0598339i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.77312 | − | 5.87108i | −0.460959 | − | 0.717267i | 0.530500 | − | 0.847685i | \(-0.322004\pi\) |
−0.991459 | + | 0.130418i | \(0.958368\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.15170 | − | 1.98511i | −0.379420 | − | 0.238980i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.76551 | + | 5.63325i | −1.04027 | + | 0.668544i | −0.945055 | − | 0.326912i | \(-0.893992\pi\) |
−0.0952198 | + | 0.995456i | \(0.530355\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.40563 | − | 3.83872i | −0.983805 | − | 0.449289i | −0.142468 | − | 0.989799i | \(-0.545504\pi\) |
−0.841337 | + | 0.540511i | \(0.818231\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.80638 | + | 3.43763i | −0.208583 | + | 0.396943i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 11.6333 | − | 1.67262i | 1.32574 | − | 0.190613i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.32902 | − | 3.84189i | 0.374544 | − | 0.432246i | −0.536916 | − | 0.843636i | \(-0.680411\pi\) |
0.911460 | + | 0.411389i | \(0.134956\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.31030 | + | 2.12740i | 0.367811 | + | 0.236378i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.28961 | + | 14.6091i | −0.470846 | + | 1.60355i | 0.291626 | + | 0.956532i | \(0.405804\pi\) |
−0.762472 | + | 0.647021i | \(0.776015\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.25712 | + | 14.1735i | −0.895610 | + | 1.53733i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.25590 | − | 4.27722i | −0.134647 | − | 0.458566i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.36184 | + | 9.47178i | −0.144354 | + | 1.00401i | 0.780899 | + | 0.624657i | \(0.214761\pi\) |
−0.925253 | + | 0.379350i | \(0.876148\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.96109 | 0.729721 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.19325i | 0.123734i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.21480 | − | 6.43833i | −0.124636 | − | 0.660559i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.287573 | − | 0.979385i | −0.0291987 | − | 0.0994415i | 0.943605 | − | 0.331075i | \(-0.107411\pi\) |
−0.972803 | + | 0.231633i | \(0.925593\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −5.77783 | − | 6.66797i | −0.580694 | − | 0.670156i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −9.95910 | − | 2.92426i | −0.990967 | − | 0.290974i | −0.254223 | − | 0.967146i | \(-0.581820\pi\) |
−0.736744 | + | 0.676171i | \(0.763638\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.98000 | + | 10.8611i | −0.687760 | + | 1.07018i | 0.305264 | + | 0.952268i | \(0.401255\pi\) |
−0.993025 | + | 0.117908i | \(0.962381\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.08088 | − | 5.13946i | 0.203073 | − | 0.501560i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 14.3127 | − | 2.05786i | 1.38366 | − | 0.198941i | 0.590052 | − | 0.807365i | \(-0.299107\pi\) |
0.793612 | + | 0.608424i | \(0.208198\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.88673 | + | 10.7004i | 0.468064 | + | 1.02492i | 0.985575 | + | 0.169240i | \(0.0541314\pi\) |
−0.517511 | + | 0.855677i | \(0.673141\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.293810 | + | 0.643354i | −0.0278872 | + | 0.0610644i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −10.9340 | − | 17.0137i | −1.02859 | − | 1.60051i | −0.773709 | − | 0.633542i | \(-0.781601\pi\) |
−0.254880 | − | 0.966973i | \(-0.582036\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.5193 | + | 2.08428i | −0.980930 | + | 0.194360i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.82523 | − | 4.39615i | −0.261193 | − | 0.406424i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 9.72948 | − | 21.3046i | 0.891900 | − | 1.95299i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.05973 | + | 2.32050i | 0.0963395 | + | 0.210954i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.43174 | + | 0.637188i | −0.399596 | + | 0.0574533i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 3.02383 | + | 10.7637i | 0.270460 | + | 0.962731i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.02268 | − | 1.59133i | 0.0907485 | − | 0.141207i | −0.792911 | − | 0.609337i | \(-0.791436\pi\) |
0.883660 | + | 0.468130i | \(0.155072\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.98768 | + | 0.877261i | 0.263050 | + | 0.0772386i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.84537 | − | 6.74591i | −0.510712 | − | 0.589393i | 0.440569 | − | 0.897719i | \(-0.354777\pi\) |
−0.951281 | + | 0.308326i | \(0.900231\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.63562 | + | 8.97610i | 0.228537 | + | 0.778327i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −9.20999 | + | 1.73776i | −0.792670 | + | 0.149563i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | − | 8.77966i | − | 0.750097i | −0.927005 | − | 0.375049i | \(-0.877626\pi\) | ||
0.927005 | − | 0.375049i | \(-0.122374\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.00938 | 0.764166 | 0.382083 | − | 0.924128i | \(-0.375207\pi\) | ||||
0.382083 | + | 0.924128i | \(0.375207\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.494020 | − | 3.43598i | 0.0416040 | − | 0.289362i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.26120 | + | 7.70094i | 0.189091 | + | 0.643985i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −11.0896 | − | 6.46051i | −0.920940 | − | 0.536517i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.698775 | + | 2.37981i | −0.0576340 | + | 0.196283i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.40420 | − | 5.40105i | −0.688499 | − | 0.442471i | 0.149053 | − | 0.988829i | \(-0.452378\pi\) |
−0.837552 | + | 0.546358i | \(0.816014\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.15503 | + | 1.33297i | −0.0939949 | + | 0.108476i | −0.800798 | − | 0.598934i | \(-0.795591\pi\) |
0.706803 | + | 0.707410i | \(0.250137\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −17.4033 | + | 2.50222i | −1.40698 | + | 0.202293i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.36098 | + | 2.49558i | 0.189638 | + | 0.200450i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.33762 | − | 0.610871i | −0.106754 | − | 0.0487528i | 0.361322 | − | 0.932441i | \(-0.382325\pi\) |
−0.468076 | + | 0.883688i | \(0.655053\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.76912 | + | 4.35025i | −0.536827 | + | 0.344997i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 14.6516 | − | 4.44756i | 1.15471 | − | 0.350517i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.26058 | + | 3.51753i | 0.177062 | + | 0.275514i | 0.918429 | − | 0.395586i | \(-0.129458\pi\) |
−0.741367 | + | 0.671100i | \(0.765822\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.36165 | + | 0.632571i | 0.495254 | + | 0.0492456i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.35417 | + | 0.618431i | −0.104789 | + | 0.0478556i | −0.467120 | − | 0.884194i | \(-0.654708\pi\) |
0.362331 | + | 0.932050i | \(0.381981\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.17357 | − | 8.16236i | −0.0902747 | − | 0.627874i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.59900 | − | 5.30753i | 0.351694 | − | 0.405877i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.03817 | − | 7.83954i | 0.383045 | − | 0.596029i | −0.595176 | − | 0.803595i | \(-0.702918\pi\) |
0.978221 | + | 0.207566i | \(0.0665542\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.81702 | − | 14.8661i | −0.439725 | − | 1.12377i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.557147 | − | 0.482770i | 0.0418777 | − | 0.0362872i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −6.64636 | + | 1.95155i | −0.496772 | + | 0.145865i | −0.520515 | − | 0.853853i | \(-0.674260\pi\) |
0.0237427 | + | 0.999718i | \(0.492442\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.24413 | + | 22.5635i | −0.241135 | + | 1.67713i | 0.405319 | + | 0.914175i | \(0.367160\pi\) |
−0.646454 | + | 0.762953i | \(0.723749\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.00939i | 0.592071i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.658469 | + | 1.92686i | 0.0484116 | + | 0.141666i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 26.7294 | + | 3.84310i | 1.95465 | + | 0.281036i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.8403 | − | 3.77024i | 0.933991 | − | 0.274244i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 17.3086 | + | 19.9752i | 1.25241 | + | 1.44536i | 0.847324 | + | 0.531076i | \(0.178212\pi\) |
0.405083 | + | 0.914280i | \(0.367243\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.17668 | − | 21.0358i | 0.444607 | − | 1.51419i | −0.367130 | − | 0.930170i | \(-0.619659\pi\) |
0.811737 | − | 0.584023i | \(-0.198522\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3.67623 | + | 0.907076i | 0.263260 | + | 0.0649571i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 17.5555 | + | 15.2119i | 1.25078 | + | 1.08380i | 0.993063 | + | 0.117583i | \(0.0375146\pi\) |
0.257714 | + | 0.966221i | \(0.417031\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.58101 | + | 24.9065i | 0.253851 | + | 1.76557i | 0.574624 | + | 0.818418i | \(0.305148\pi\) |
−0.320773 | + | 0.947156i | \(0.603943\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.25169 | + | 4.93051i | 0.158822 | + | 0.347771i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 16.6691 | + | 7.61251i | 1.16994 | + | 0.534294i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.00789 | + | 10.1013i | −0.559295 | + | 0.705508i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −8.75528 | − | 7.44786i | −0.608534 | − | 0.517662i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.07397 | + | 5.83149i | −0.627660 | + | 0.403373i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.11401 | − | 17.7672i | 0.558591 | − | 1.22314i | −0.394062 | − | 0.919084i | \(-0.628930\pi\) |
0.952653 | − | 0.304060i | \(-0.0983424\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 7.36124 | − | 3.36176i | 0.504384 | − | 0.230344i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.98426 | − | 4.07674i | 0.544522 | − | 0.278031i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.70711 | − | 3.21223i | −0.251655 | − | 0.218060i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.03763 | + | 3.88015i | 0.407985 | + | 0.262196i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.3463 | + | 4.50608i | 1.03230 | + | 0.303112i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 19.5296 | − | 16.9225i | 1.30780 | − | 1.13321i | 0.325568 | − | 0.945519i | \(-0.394445\pi\) |
0.982228 | − | 0.187693i | \(-0.0601009\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.02748 | + | 9.70718i | −0.468499 | + | 0.647145i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.82542 | − | 0.262455i | −0.121157 | − | 0.0174198i | 0.0814695 | − | 0.996676i | \(-0.474039\pi\) |
−0.202627 | + | 0.979256i | \(0.564948\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.01925 | −0.133436 | −0.0667179 | − | 0.997772i | \(-0.521253\pi\) | ||||
−0.0667179 | + | 0.997772i | \(0.521253\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.12814 | −0.600588 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.98172 | + | 0.428706i | 0.195339 | + | 0.0280855i | 0.239290 | − | 0.970948i | \(-0.423085\pi\) |
−0.0439509 | + | 0.999034i | \(0.513995\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.76528 | − | 8.16356i | −0.376085 | − | 0.532532i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.98387 | + | 2.58554i | −0.193823 | + | 0.167949i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −17.7112 | − | 5.20047i | −1.14564 | − | 0.336391i | −0.346804 | − | 0.937938i | \(-0.612733\pi\) |
−0.798838 | + | 0.601547i | \(0.794551\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −22.4658 | − | 14.4379i | −1.44715 | − | 0.930026i | −0.999356 | − | 0.0358887i | \(-0.988574\pi\) |
−0.447793 | − | 0.894137i | \(-0.647790\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.8129 | − | 10.2359i | −0.757796 | − | 0.656634i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 3.24729 | + | 6.35979i | 0.207462 | + | 0.406312i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.81120 | + | 2.65389i | −0.369758 | + | 0.168863i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.91245 | − | 10.7568i | 0.311314 | − | 0.681682i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −22.2800 | + | 14.3185i | −1.40630 | + | 0.903776i | −0.999951 | − | 0.00994090i | \(-0.996836\pi\) |
−0.406352 | + | 0.913717i | \(0.633199\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.67960 | + | 14.7641i | 0.608551 | + | 0.928212i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 7.91437 | − | 9.98337i | 0.495617 | − | 0.625183i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 10.1084 | + | 4.61635i | 0.630545 | + | 0.287960i | 0.704938 | − | 0.709269i | \(-0.250975\pi\) |
−0.0743931 | + | 0.997229i | \(0.523702\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.20779 | − | 2.64470i | −0.0750487 | − | 0.164334i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.95778 | − | 13.6167i | −0.121184 | − | 0.842851i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.193353 | + | 0.167541i | 0.0119227 | + | 0.0103310i | 0.660802 | − | 0.750561i | \(-0.270216\pi\) |
−0.648879 | + | 0.760892i | \(0.724762\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.54963 | + | 22.4917i | −0.340911 | + | 1.38165i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.09386 | − | 7.13102i | 0.128142 | − | 0.436411i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.50271 | + | 1.73422i | 0.0916221 | + | 0.105738i | 0.799709 | − | 0.600388i | \(-0.204987\pi\) |
−0.708087 | + | 0.706125i | \(0.750442\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.10988 | − | 1.79402i | 0.371149 | − | 0.108979i | −0.0908384 | − | 0.995866i | \(-0.528955\pi\) |
0.461987 | + | 0.886886i | \(0.347136\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −5.35142 | − | 0.769418i | −0.323883 | − | 0.0465673i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 14.5565 | − | 11.2643i | 0.877790 | − | 0.679261i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 3.22244i | − | 0.193618i | −0.995303 | − | 0.0968088i | \(-0.969136\pi\) | ||
0.995303 | − | 0.0968088i | \(-0.0308635\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.524053 | + | 3.64487i | −0.0313743 | + | 0.218213i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.56173 | + | 2.80758i | −0.570405 | + | 0.167486i | −0.554201 | − | 0.832383i | \(-0.686976\pi\) |
−0.0162036 | + | 0.999869i | \(0.505158\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.57656 | − | 1.36610i | 0.0937166 | − | 0.0812059i | −0.606742 | − | 0.794898i | \(-0.707524\pi\) |
0.700459 | + | 0.713693i | \(0.252979\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.222255 | + | 5.08382i | 0.0131652 | + | 0.301139i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 9.95068 | − | 15.4836i | 0.587370 | − | 0.913965i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 24.1078 | − | 27.8218i | 1.41810 | − | 1.63658i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.112823 | + | 0.784700i | 0.00661379 | + | 0.0459999i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.60392 | − | 2.10254i | 0.268964 | − | 0.122832i | −0.276368 | − | 0.961052i | \(-0.589131\pi\) |
0.545332 | + | 0.838220i | \(0.316404\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.210013 | − | 2.11206i | 0.0122274 | − | 0.122969i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 8.34190 | + | 12.9803i | 0.484046 | + | 0.753191i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 4.43024 | + | 9.47144i | 0.256207 | + | 0.547747i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.7683 | + | 6.92034i | −0.620672 | + | 0.398882i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 7.33295 | + | 3.34885i | 0.421267 | + | 0.192386i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 15.8475 | + | 16.7510i | 0.907425 | + | 0.959160i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −22.2106 | + | 3.19341i | −1.26763 | + | 0.182257i | −0.743126 | − | 0.669152i | \(-0.766658\pi\) |
−0.524502 | + | 0.851409i | \(0.675749\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 6.56645 | − | 7.57809i | 0.373552 | − | 0.431102i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 8.86888 | + | 5.69968i | 0.502908 | + | 0.323199i | 0.767378 | − | 0.641194i | \(-0.221561\pi\) |
−0.264470 | + | 0.964394i | \(0.585197\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.17998 | − | 7.42434i | 0.123220 | − | 0.419649i | −0.874659 | − | 0.484738i | \(-0.838915\pi\) |
0.997879 | + | 0.0650891i | \(0.0207332\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 8.61338 | − | 14.7850i | 0.485309 | − | 0.833042i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.88211 | − | 6.40987i | −0.105710 | − | 0.360014i | 0.889602 | − | 0.456737i | \(-0.150982\pi\) |
−0.995311 | + | 0.0967232i | \(0.969164\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.00691 | + | 20.9135i | −0.168355 | + | 1.17093i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.2305 | −0.626828 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 21.4947i | 1.19599i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.48330 | − | 5.37676i | 0.526039 | − | 0.298249i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.57400 | − | 8.76623i | −0.142342 | − | 0.484774i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 9.34479 | + | 10.7845i | 0.515195 | + | 0.594567i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.7120 | − | 4.90709i | −0.918576 | − | 0.269718i | −0.211930 | − | 0.977285i | \(-0.567975\pi\) |
−0.706647 | + | 0.707567i | \(0.749793\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.18002 | + | 1.83614i | −0.0646645 | + | 0.100620i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 14.4648 | + | 5.85655i | 0.790297 | + | 0.319978i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.9348 | + | 1.85974i | −0.704604 | + | 0.101307i | −0.485297 | − | 0.874349i | \(-0.661289\pi\) |
−0.219307 | + | 0.975656i | \(0.570379\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.52513 | + | 14.2880i | 0.354396 | + | 0.776020i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.34944 | − | 5.14455i | 0.127229 | − | 0.278593i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.57048 | + | 10.2239i | 0.354773 | + | 0.552037i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 8.31722 | − | 0.439602i | 0.447784 | − | 0.0236674i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −12.7765 | − | 19.8807i | −0.685881 | − | 1.06725i | −0.993287 | − | 0.115673i | \(-0.963098\pi\) |
0.307407 | − | 0.951578i | \(-0.400539\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.62905 | − | 3.56713i | 0.0872012 | − | 0.190944i | −0.861007 | − | 0.508593i | \(-0.830166\pi\) |
0.948209 | + | 0.317649i | \(0.102893\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.79637 | + | 8.31289i | 0.202635 | + | 0.443709i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.61551 | + | 1.09494i | −0.405333 | + | 0.0582780i | −0.341966 | − | 0.939712i | \(-0.611093\pi\) |
−0.0633665 | + | 0.997990i | \(0.520184\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.74382 | − | 21.5959i | 0.464074 | − | 1.14619i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −9.83447 | + | 15.3027i | −0.520496 | + | 0.809907i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.56025 | − | 0.458130i | −0.0823466 | − | 0.0241792i | 0.240300 | − | 0.970699i | \(-0.422754\pi\) |
−0.322646 | + | 0.946520i | \(0.604572\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.82000 | + | 7.87070i | 0.358947 | + | 0.414247i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.558196 | − | 1.90104i | −0.0292977 | − | 0.0997788i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 20.3046 | − | 3.83111i | 1.06279 | − | 0.200530i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 33.4403i | 1.74557i | 0.488107 | + | 0.872784i | \(0.337688\pi\) | ||||
−0.488107 | + | 0.872784i | \(0.662312\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −13.8169 | −0.719281 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.70741 | − | 32.7408i | 0.244397 | − | 1.69982i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.48815 | − | 28.9080i | −0.439500 | − | 1.49680i | −0.820187 | − | 0.572095i | \(-0.806131\pi\) |
0.380687 | − | 0.924704i | \(-0.375687\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.13489 | − | 8.60892i | −0.0586052 | − | 0.444563i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.52564 | + | 12.0072i | −0.181579 | + | 0.618403i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −19.6894 | − | 12.6536i | −1.01138 | − | 0.649972i | −0.0736275 | − | 0.997286i | \(-0.523458\pi\) |
−0.937749 | + | 0.347314i | \(0.887094\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.962091 | + | 1.11031i | −0.0492894 | + | 0.0568830i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −37.3856 | + | 5.37523i | −1.91031 | + | 0.274662i | −0.992490 | − | 0.122326i | \(-0.960965\pi\) |
−0.917824 | + | 0.396988i | \(0.870055\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −19.0908 | + | 18.0611i | −0.972957 | + | 0.920478i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 8.74082 | + | 3.99180i | 0.444321 | + | 0.202915i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −20.0087 | + | 12.8588i | −1.01448 | + | 0.651969i | −0.938550 | − | 0.345144i | \(-0.887830\pi\) |
−0.0759336 | + | 0.997113i | \(0.524194\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 35.1797 | − | 0.320672i | 1.77911 | − | 0.0162171i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.74806 | + | 5.83209i | 0.189065 | + | 0.294190i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.12475 | + | 11.3114i | −0.0565922 | + | 0.569137i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −32.4878 | + | 14.8367i | −1.63052 | + | 0.744632i | −0.999515 | − | 0.0311480i | \(-0.990084\pi\) |
−0.631003 | + | 0.775780i | \(0.717356\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.03403 | − | 7.19180i | −0.0517660 | − | 0.360040i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 11.1034 | − | 12.8140i | 0.554478 | − | 0.639902i | −0.407443 | − | 0.913231i | \(-0.633579\pi\) |
0.961921 | + | 0.273329i | \(0.0881248\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.81101 | − | 2.81798i | 0.0902127 | − | 0.140374i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −8.79044 | + | 0.384302i | −0.436800 | + | 0.0190961i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.53346 | − | 2.19525i | 0.125579 | − | 0.108815i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −34.3665 | + | 10.0909i | −1.69932 | + | 0.498964i | −0.980547 | − | 0.196284i | \(-0.937112\pi\) |
−0.718769 | + | 0.695249i | \(0.755294\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.970427 | + | 6.74947i | −0.0478676 | + | 0.332927i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.03053i | 0.149123i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −11.0095 | − | 32.2168i | −0.540434 | − | 1.58146i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −6.92607 | − | 0.995818i | −0.339171 | − | 0.0487654i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −20.8646 | + | 6.12638i | −1.01930 | + | 0.299293i | −0.748353 | − | 0.663301i | \(-0.769155\pi\) |
−0.270947 | + | 0.962594i | \(0.587337\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.27609 | − | 6.08893i | −0.257141 | − | 0.296756i | 0.612470 | − | 0.790494i | \(-0.290176\pi\) |
−0.869611 | + | 0.493737i | \(0.835630\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.01805 | − | 10.2785i | 0.146742 | − | 0.499759i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.20095 | − | 36.5389i | −0.155269 | − | 1.77240i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −24.8831 | − | 21.5613i | −1.20418 | − | 1.04342i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.887130 | − | 6.17012i | −0.0428310 | − | 0.297896i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −7.29150 | − | 15.9662i | −0.351219 | − | 0.769062i | −0.999968 | − | 0.00805955i | \(-0.997435\pi\) |
0.648748 | − | 0.761003i | \(-0.275293\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.18017 | − | 0.538964i | −0.0567152 | − | 0.0259010i | 0.386856 | − | 0.922140i | \(-0.373561\pi\) |
−0.443571 | + | 0.896239i | \(0.646288\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 7.81116 | + | 6.19234i | 0.374517 | + | 0.296900i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −10.5357 | + | 9.29874i | −0.503992 | + | 0.444819i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 20.5621 | − | 13.2145i | 0.981378 | − | 0.630693i | 0.0515431 | − | 0.998671i | \(-0.483586\pi\) |
0.929835 | + | 0.367978i | \(0.119950\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.17964 | + | 6.96243i | −0.151411 | + | 0.331544i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.21511 | + | 1.01161i | −0.105243 | + | 0.0480628i | −0.467341 | − | 0.884077i | \(-0.654788\pi\) |
0.362098 | + | 0.932140i | \(0.382061\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.73040 | − | 19.0569i | −0.461265 | − | 0.903384i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 5.86384 | + | 5.08105i | 0.277350 | + | 0.240325i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.3361 | + | 13.7119i | 1.00691 | + | 0.647103i | 0.936592 | − | 0.350421i | \(-0.113962\pi\) |
0.0703202 | + | 0.997524i | \(0.477598\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.3615 | + | 5.97868i | 0.958787 | + | 0.281525i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.03528 | − | 0.897073i | 0.0486416 | − | 0.0421482i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −12.7145 | + | 8.97922i | −0.596063 | + | 0.420952i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.9433 | − | 3.58631i | −1.16680 | − | 0.167760i | −0.468432 | − | 0.883500i | \(-0.655181\pi\) |
−0.698368 | + | 0.715739i | \(0.746090\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 30.7480 | 1.43519 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 7.45005 | 0.346983 | 0.173492 | − | 0.984835i | \(-0.444495\pi\) | ||||
0.173492 | + | 0.984835i | \(0.444495\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.30867 | + | 1.05083i | 0.339663 | + | 0.0488361i | 0.310036 | − | 0.950725i | \(-0.399659\pi\) |
0.0296270 | + | 0.999561i | \(0.490568\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.53919 | − | 2.17947i | −0.0713782 | − | 0.101071i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −22.8606 | + | 19.8088i | −1.05786 | + | 0.916643i | −0.996675 | − | 0.0814831i | \(-0.974034\pi\) |
−0.0611878 | + | 0.998126i | \(0.519489\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −21.3793 | − | 6.27754i | −0.987207 | − | 0.289870i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.960792 | + | 0.617464i | 0.0442710 | + | 0.0284512i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −11.1538 | − | 9.66478i | −0.512850 | − | 0.444387i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.5237 | + | 10.1926i | 0.482862 | + | 0.467671i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −22.5874 | + | 10.3153i | −1.03421 | + | 0.472306i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 7.24263 | − | 15.8591i | 0.330924 | − | 0.724623i | −0.668900 | − | 0.743352i | \(-0.733235\pi\) |
0.999825 | + | 0.0187291i | \(0.00596201\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.67029 | − | 1.07343i | 0.0761587 | − | 0.0489442i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −11.7552 | + | 1.79965i | −0.534880 | + | 0.0818870i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.78858 | + | 1.41791i | 0.0812151 | + | 0.0643838i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.8165 | − | 11.7900i | −1.16986 | − | 0.534255i | −0.266788 | − | 0.963755i | \(-0.585963\pi\) |
−0.903067 | + | 0.429500i | \(0.858690\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.34905 | − | 2.95401i | −0.0610061 | − | 0.133585i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.59013 | + | 31.9251i | 0.207150 | + | 1.44076i | 0.782398 | + | 0.622779i | \(0.213996\pi\) |
−0.575248 | + | 0.817979i | \(0.695095\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 31.8206 | + | 27.5727i | 1.43313 | + | 1.24181i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 19.1543 | + | 4.72616i | 0.860924 | + | 0.212425i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −9.37235 | + | 31.9193i | −0.420408 | + | 1.43178i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.7792 | − | 22.8265i | −0.885440 | − | 1.02185i | −0.999597 | − | 0.0283895i | \(-0.990962\pi\) |
0.114157 | − | 0.993463i | \(-0.463583\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.10939 | − | 0.325747i | 0.0495640 | − | 0.0145533i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −16.5342 | − | 2.37726i | −0.737225 | − | 0.105997i | −0.236534 | − | 0.971623i | \(-0.576012\pi\) |
−0.500691 | + | 0.865626i | \(0.666921\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 21.9624 | − | 7.50523i | 0.977313 | − | 0.333978i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.40463i | 0.284440i | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.60299 | − | 11.1490i | 0.0710512 | − | 0.494172i | −0.922960 | − | 0.384895i | \(-0.874238\pi\) |
0.994011 | − | 0.109276i | \(-0.0348534\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −28.3079 | + | 8.31195i | −1.25227 | + | 0.367699i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −9.28181 | + | 8.04274i | −0.409802 | + | 0.355095i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.26089 | − | 28.8415i | −0.0555616 | − | 1.27091i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.89517 | + | 13.8411i | −0.391209 | + | 0.608733i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.73966 | + | 5.46986i | −0.208048 | + | 0.240100i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.31750 | − | 23.0737i | −0.145342 | − | 1.01088i | −0.923717 | − | 0.383077i | \(-0.874865\pi\) |
0.778374 | − | 0.627800i | \(-0.216045\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 36.0672 | − | 16.4713i | 1.57711 | − | 0.720241i | 0.581472 | − | 0.813567i | \(-0.302477\pi\) |
0.995636 | + | 0.0933260i | \(0.0297499\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.82874 | + | 12.0714i | 0.123456 | + | 0.526840i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −6.09327 | − | 9.48131i | −0.265427 | − | 0.413012i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.3762 | + | 17.1048i | 0.668528 | + | 0.743687i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.91387 | − | 1.22997i | 0.0830551 | − | 0.0533762i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 11.4331 | + | 5.22132i | 0.495222 | + | 0.226161i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −23.4878 | + | 22.2209i | −1.01547 | + | 0.960694i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 5.32517 | − | 0.765644i | 0.229798 | − | 0.0330400i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 7.69840 | − | 8.88443i | 0.331594 | − | 0.382679i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.7029 | + | 10.0916i | 0.675120 | + | 0.433873i | 0.832768 | − | 0.553622i | \(-0.186755\pi\) |
−0.157648 | + | 0.987495i | \(0.550391\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 4.98793 | − | 16.9873i | 0.214053 | − | 0.728996i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −22.7283 | − | 13.2409i | −0.973574 | − | 0.567180i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.04687 | − | 17.1881i | −0.215789 | − | 0.734908i | −0.994237 | − | 0.107200i | \(-0.965811\pi\) |
0.778449 | − | 0.627708i | \(-0.216007\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −3.51758 | + | 24.4653i | −0.150127 | + | 1.04415i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −16.8178 | −0.716462 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − | 16.2304i | − | 0.690185i | ||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.293227 | − | 1.55408i | −0.0124468 | − | 0.0659670i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.39006 | + | 14.9512i | 0.186013 | + | 0.633501i | 0.998708 | + | 0.0508124i | \(0.0161811\pi\) |
−0.812696 | + | 0.582689i | \(0.802001\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.72429 | − | 6.60619i | −0.242112 | − | 0.279412i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −20.1237 | − | 5.90886i | −0.849625 | − | 0.249472i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.06489 | + | 6.32509i | −0.171315 | + | 0.266571i | −0.916285 | − | 0.400527i | \(-0.868827\pi\) |
0.744971 | + | 0.667097i | \(0.232464\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 41.9173 | + | 16.9716i | 1.76347 | + | 0.714001i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 12.4354 | − | 1.78794i | 0.522236 | − | 0.0750862i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −2.68047 | − | 5.86941i | −0.112371 | − | 0.246059i | 0.845088 | − | 0.534627i | \(-0.179548\pi\) |
−0.957459 | + | 0.288569i | \(0.906821\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.17890 | − | 17.9093i | 0.342277 | − | 0.749481i | −0.657716 | − | 0.753266i | \(-0.728477\pi\) |
0.999993 | + | 0.00378471i | \(0.00120471\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −11.0983 | − | 17.2693i | −0.463639 | − | 0.721436i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 16.5250 | − | 17.3760i | 0.689141 | − | 0.724628i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 19.9870 | + | 31.1004i | 0.832070 | + | 1.29473i | 0.953277 | + | 0.302099i | \(0.0976872\pi\) |
−0.121207 | + | 0.992627i | \(0.538676\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −7.07351 | + | 15.4888i | −0.293965 | + | 0.643694i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 20.1941 | + | 44.2189i | 0.837792 | + | 1.83451i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 37.7497 | − | 5.42759i | 1.56343 | − | 0.224788i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 10.8310 | + | 4.38527i | 0.447805 | + | 0.181309i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 9.31110 | − | 14.4883i | 0.384310 | − | 0.597998i | −0.594170 | − | 0.804339i | \(-0.702519\pi\) |
0.978480 | + | 0.206341i | \(0.0661557\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.31939 | + | 1.26829i | 0.177977 | + | 0.0522588i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −11.8146 | − | 13.6348i | −0.485988 | − | 0.560859i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −12.1264 | − | 41.2986i | −0.497970 | − | 1.69593i | −0.697964 | − | 0.716133i | \(-0.745910\pi\) |
0.199994 | − | 0.979797i | \(-0.435908\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 9.71019 | + | 51.4631i | 0.398079 | + | 2.10978i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | − | 19.5430i | − | 0.799840i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 34.4873 | 1.40911 | 0.704556 | − | 0.709648i | \(-0.251146\pi\) | ||||
0.704556 | + | 0.709648i | \(0.251146\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.382751 | + | 2.66209i | −0.0156127 | + | 0.108589i | −0.996138 | − | 0.0878062i | \(-0.972014\pi\) |
0.980525 | + | 0.196395i | \(0.0629235\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.71257 | + | 16.0495i | 0.191911 | + | 0.653588i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.92885 | − | 2.87143i | −0.200386 | − | 0.116740i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.40031 | − | 14.9861i | 0.178603 | − | 0.608266i | −0.820715 | − | 0.571338i | \(-0.806425\pi\) |
0.999318 | − | 0.0369279i | \(-0.0117572\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −11.9731 | − | 7.69466i | −0.485176 | − | 0.311804i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.38152 | + | 7.36466i | −0.258169 | + | 0.297942i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 34.8103 | − | 5.00497i | 1.40598 | − | 0.202149i | 0.602801 | − | 0.797892i | \(-0.294051\pi\) |
0.803175 | + | 0.595743i | \(0.203142\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 7.27267 | − | 6.88039i | 0.293262 | − | 0.277444i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −10.7410 | − | 4.90523i | −0.432415 | − | 0.197477i | 0.187303 | − | 0.982302i | \(-0.440026\pi\) |
−0.619717 | + | 0.784825i | \(0.712753\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.60273 | + | 4.24332i | −0.265386 | + | 0.170553i | −0.666566 | − | 0.745446i | \(-0.732237\pi\) |
0.401180 | + | 0.915999i | \(0.368600\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 13.3018 | + | 15.0713i | 0.533782 | + | 0.604790i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 16.5175 | + | 25.7018i | 0.661761 | + | 1.02972i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.4073 | − | 15.7594i | −0.776290 | − | 0.630375i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 7.62029 | − | 3.48007i | 0.304325 | − | 0.138981i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.950704 | − | 6.61229i | −0.0379071 | − | 0.263649i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.27577 | − | 9.55075i | 0.329453 | − | 0.380209i | −0.566722 | − | 0.823909i | \(-0.691789\pi\) |
0.896176 | + | 0.443699i | \(0.146334\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −8.20157 | + | 12.7619i | −0.325983 | + | 0.507240i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.184741 | + | 4.22574i | 0.00733124 | + | 0.167693i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.26210 | − | 4.55964i | 0.208492 | − | 0.180659i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 23.9619 | − | 7.03586i | 0.947919 | − | 0.278334i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.60512 | − | 25.0742i | 0.142394 | − | 0.990371i | −0.785855 | − | 0.618411i | \(-0.787777\pi\) |
0.928249 | − | 0.371960i | \(-0.121314\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.6136i | 0.418561i | 0.977856 | + | 0.209280i | \(0.0671122\pi\) | ||||
−0.977856 | + | 0.209280i | \(0.932888\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.58860 | + | 2.25153i | −0.259426 | + | 0.0886539i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −5.76579 | − | 0.828995i | −0.226676 | − | 0.0325912i | 0.0280406 | − | 0.999607i | \(-0.491073\pi\) |
−0.254717 | + | 0.967016i | \(0.581982\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.35262 | + | 0.984419i | −0.131602 | + | 0.0386418i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.49483 | + | 2.87919i | 0.0977801 | + | 0.112844i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.40767 | + | 4.79410i | −0.0550865 | + | 0.187607i | −0.982440 | − | 0.186579i | \(-0.940260\pi\) |
0.927353 | + | 0.374187i | \(0.122078\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 19.3782 | + | 4.78141i | 0.757171 | + | 0.186825i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 16.7383 | + | 14.5038i | 0.653025 | + | 0.565849i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.09083 | + | 7.58690i | 0.0424928 | + | 0.295544i | 0.999975 | + | 0.00705195i | \(0.00224473\pi\) |
−0.957482 | + | 0.288492i | \(0.906846\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.67286 | + | 10.2321i | 0.181753 | + | 0.397984i | 0.978476 | − | 0.206361i | \(-0.0661621\pi\) |
−0.796723 | + | 0.604345i | \(0.793435\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −11.2996 | − | 5.16035i | −0.438839 | − | 0.200411i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −16.3924 | − | 12.9952i | −0.635670 | − | 0.503931i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.250900 | + | 27.5252i | 0.00971487 | + | 1.06578i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −16.8840 | + | 10.8507i | −0.652774 | + | 0.419513i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 15.7700 | − | 34.5316i | 0.608795 | − | 1.33308i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.0032 | − | 5.93836i | 0.501236 | − | 0.228907i | −0.148719 | − | 0.988880i | \(-0.547515\pi\) |
0.649955 | + | 0.759973i | \(0.274788\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 14.5805 | − | 15.0541i | 0.561204 | − | 0.579434i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −17.1504 | − | 14.8609i | −0.659143 | − | 0.571151i | 0.259741 | − | 0.965678i | \(-0.416363\pi\) |
−0.918884 | + | 0.394528i | \(0.870908\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.74157 | − | 1.76190i | −0.105212 | − | 0.0676156i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.37430 | + | 0.403531i | 0.0526633 | + | 0.0154634i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1.69345 | + | 1.46738i | −0.0647981 | + | 0.0561479i | −0.686658 | − | 0.726981i | \(-0.740923\pi\) |
0.621860 | + | 0.783129i | \(0.286377\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.3250 | + | 16.0361i | 0.432707 | + | 0.612708i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.55232 | + | 0.223190i | 0.0592247 | + | 0.00851523i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 22.5885 | 0.860552 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.43181 | 0.358803 | 0.179402 | − | 0.983776i | \(-0.442584\pi\) | ||||
0.179402 | + | 0.983776i | \(0.442584\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −27.8827 | − | 4.00892i | −1.05917 | − | 0.152286i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −16.4557 | + | 11.6213i | −0.624199 | + | 0.440823i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 31.9600 | − | 27.6935i | 1.21057 | − | 1.04896i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −2.24485 | − | 0.659146i | −0.0849079 | − | 0.0249312i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −32.9491 | − | 21.1751i | −1.24447 | − | 0.799773i | −0.258390 | − | 0.966041i | \(-0.583192\pi\) |
−0.986081 | + | 0.166268i | \(0.946828\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.01656 | + | 1.74736i | 0.0760561 | + | 0.0659030i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.52980 | + | 6.91308i | 0.132940 | + | 0.260362i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −30.1443 | + | 13.7664i | −1.13369 | + | 0.517740i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.6485 | + | 34.2655i | −0.587693 | + | 1.28687i | 0.349133 | + | 0.937073i | \(0.386476\pi\) |
−0.936826 | + | 0.349795i | \(0.886251\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −10.2500 | + | 6.58727i | −0.384405 | + | 0.247042i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 2.01133 | − | 7.08833i | 0.0753248 | − | 0.265460i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.0637 | − | 11.1490i | −0.525951 | − | 0.416951i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 13.0409 | + | 5.95557i | 0.487020 | + | 0.222415i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.0653 | + | 26.4193i | 0.449960 | + | 0.985275i | 0.989662 | + | 0.143419i | \(0.0458096\pi\) |
−0.539702 | + | 0.841856i | \(0.681463\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.86622 | + | 40.8005i | 0.218469 | + | 1.51949i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 15.6750 | + | 13.5825i | 0.582960 | + | 0.505137i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 28.5887 | − | 2.50448i | 1.06176 | − | 0.0930139i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.94251 | + | 20.2383i | −0.220396 | + | 0.750598i | 0.772852 | + | 0.634586i | \(0.218829\pi\) |
−0.993248 | + | 0.116012i | \(0.962989\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.219350 | + | 0.253143i | 0.00812407 | + | 0.00937567i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −28.2192 | + | 8.28591i | −1.04372 | + | 0.306465i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.1863 | + | 1.75212i | 0.450111 | + | 0.0647162i | 0.363643 | − | 0.931538i | \(-0.381533\pi\) |
0.0864682 | + | 0.996255i | \(0.472442\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.79344 | − | 5.24809i | −0.0661520 | − | 0.193579i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 25.6908i | − | 0.946332i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.21781 | − | 29.3355i | 0.155155 | − | 1.07912i | −0.752253 | − | 0.658874i | \(-0.771033\pi\) |
0.907408 | − | 0.420251i | \(-0.138058\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.76077 | − | 1.39789i | 0.174891 | − | 0.0513527i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −25.6786 | + | 22.2506i | −0.942056 | + | 0.816296i | −0.983139 | − | 0.182859i | \(-0.941465\pi\) |
0.0410829 | + | 0.999156i | \(0.486919\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.3172 | − | 0.975667i | 0.817639 | − | 0.0357457i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 19.7296 | − | 30.6999i | 0.721870 | − | 1.12325i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 30.2327 | − | 34.8903i | 1.10468 | − | 1.27487i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.50302 | + | 31.3192i | 0.164317 | + | 1.14285i | 0.890378 | + | 0.455222i | \(0.150440\pi\) |
−0.726061 | + | 0.687631i | \(0.758651\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 18.7107 | − | 8.54488i | 0.681855 | − | 0.311393i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.390240 | − | 3.92457i | 0.0142023 | − | 0.142830i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.80980 | + | 5.92817i | 0.138470 | + | 0.215463i | 0.903562 | − | 0.428458i | \(-0.140943\pi\) |
−0.765092 | + | 0.643921i | \(0.777307\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −5.80941 | − | 12.4200i | −0.210868 | − | 0.450817i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.7822 | + | 7.57199i | −0.427106 | + | 0.274484i | −0.736484 | − | 0.676455i | \(-0.763515\pi\) |
0.309378 | + | 0.950939i | \(0.399879\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 34.1636 | + | 15.6020i | 1.23680 | + | 0.564830i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 28.5596 | − | 27.0192i | 1.03257 | − | 0.976880i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.04847 | + | 0.294525i | −0.0739660 | + | 0.0106347i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 16.3550 | − | 18.8746i | 0.589775 | − | 0.680637i | −0.379902 | − | 0.925027i | \(-0.624042\pi\) |
0.969677 | + | 0.244390i | \(0.0785876\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −7.26071 | − | 4.66617i | −0.261488 | − | 0.168048i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 5.56405 | − | 18.9494i | 0.200125 | − | 0.681563i | −0.796874 | − | 0.604146i | \(-0.793515\pi\) |
0.996999 | − | 0.0774170i | \(-0.0246673\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.53143 | − | 1.51273i | −0.270537 | − | 0.0543390i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.636184 | + | 2.16664i | 0.0228230 | + | 0.0777279i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −2.40390 | + | 16.7195i | −0.0861288 | + | 0.599039i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −38.3563 | −1.37250 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 24.0577i | 0.859753i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 3.23114 | − | 0.609660i | 0.115324 | − | 0.0217597i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.79327 | + | 16.3244i | 0.170862 | + | 0.581901i | 0.999747 | + | 0.0224829i | \(0.00715713\pi\) |
−0.828886 | + | 0.559418i | \(0.811025\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.130124 | − | 0.150171i | −0.00463253 | − | 0.00534623i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −61.9548 | − | 18.1916i | −2.20286 | − | 0.646818i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.1560 | − | 18.9150i | 0.431671 | − | 0.671693i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 6.75238 | − | 16.6774i | 0.239482 | − | 0.591485i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 28.4130 | − | 4.08517i | 1.00644 | − | 0.144704i | 0.380668 | − | 0.924712i | \(-0.375694\pi\) |
0.625770 | + | 0.780008i | \(0.284785\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 13.6203 | + | 29.8243i | 0.481852 | + | 1.05511i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 9.52767 | − | 20.8627i | 0.336644 | − | 0.737147i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −18.3908 | − | 28.6166i | −0.648996 | − | 1.00986i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −21.0242 | + | 27.0228i | −0.741007 | + | 0.952429i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.963543 | − | 1.49930i | −0.0339183 | − | 0.0527779i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0.817377 | − | 1.78981i | 0.0287374 | − | 0.0629262i | −0.894719 | − | 0.446630i | \(-0.852624\pi\) |
0.923456 | + | 0.383703i | \(0.125351\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5.70383 | − | 12.4896i | −0.200288 | − | 0.438571i | 0.782661 | − | 0.622449i | \(-0.213862\pi\) |
−0.982949 | + | 0.183878i | \(0.941135\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −4.89534 | + | 0.703844i | −0.171687 | + | 0.0246849i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −8.66627 | − | 3.50883i | −0.303566 | − | 0.122909i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.35112 | − | 9.88254i | 0.222198 | − | 0.345746i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −16.0084 | − | 4.70050i | −0.559380 | − | 0.164249i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 24.1536 | + | 27.8747i | 0.842965 | + | 0.972833i | 0.999891 | − | 0.0147769i | \(-0.00470381\pi\) |
−0.156926 | + | 0.987610i | \(0.550158\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.797104 | − | 2.71469i | −0.0277853 | − | 0.0946280i | 0.944433 | − | 0.328704i | \(-0.106612\pi\) |
−0.972218 | + | 0.234076i | \(0.924794\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −12.4355 | + | 7.05059i | −0.432950 | + | 0.245470i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 35.9069i | 1.24861i | 0.781182 | + | 0.624303i | \(0.214617\pi\) | ||||
−0.781182 | + | 0.624303i | \(0.785383\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −30.7867 | −1.06927 | −0.534633 | − | 0.845084i | \(-0.679550\pi\) | ||||
−0.534633 | + | 0.845084i | \(0.679550\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.356180 | + | 2.47729i | −0.0123558 | + | 0.0859362i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −6.60007 | − | 22.4778i | −0.228679 | − | 0.778809i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.67568 | − | 2.87634i | 0.0579894 | − | 0.0995398i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.81427 | − | 6.17885i | 0.0627105 | − | 0.213572i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 8.19217 | + | 5.26479i | 0.282825 | + | 0.181761i | 0.674360 | − | 0.738402i | \(-0.264419\pi\) |
−0.391535 | + | 0.920163i | \(0.628056\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.58240 | + | 2.98025i | −0.0890484 | + | 0.102767i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 7.66101 | − | 1.10149i | 0.263859 | − | 0.0379372i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 12.6723 | + | 13.3948i | 0.435940 | + | 0.460795i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.40870 | + | 3.38344i | 0.254566 | + | 0.116256i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1.36299 | + | 0.875943i | −0.0467778 | + | 0.0300623i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.82977 | − | 3.32652i | 0.0970033 | − | 0.114032i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.28655 | − | 8.22603i | −0.181008 | − | 0.281654i | 0.738878 | − | 0.673839i | \(-0.235356\pi\) |
−0.919886 | + | 0.392185i | \(0.871719\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.55383 | + | 15.6265i | −0.0531398 | + | 0.534416i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −18.7031 | + | 8.54143i | −0.638886 | + | 0.291770i | −0.708400 | − | 0.705811i | \(-0.750583\pi\) |
0.0695135 | + | 0.997581i | \(0.477855\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.21722 | − | 22.3763i | −0.109770 | − | 0.763468i | −0.968135 | − | 0.250429i | \(-0.919428\pi\) |
0.858365 | − | 0.513040i | \(-0.171481\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.36112 | + | 10.8033i | −0.319026 | + | 0.368176i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −23.6002 | + | 36.7227i | −0.803361 | + | 1.25005i | 0.161390 | + | 0.986891i | \(0.448402\pi\) |
−0.964751 | + | 0.263164i | \(0.915234\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.910113 | + | 20.8178i | 0.0309448 | + | 0.707825i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −21.6083 | + | 18.7237i | −0.733857 | + | 0.635891i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 17.9554 | − | 5.27218i | 0.609095 | − | 0.178846i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.16550 | − | 15.0614i | 0.0733750 | − | 0.510334i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.44648i | 0.0828007i | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 29.8008 | + | 19.6494i | 1.00745 | + | 0.664272i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −25.3560 | − | 3.64564i | −0.856212 | − | 0.123105i | −0.299791 | − | 0.954005i | \(-0.596917\pi\) |
−0.556421 | + | 0.830900i | \(0.687826\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −3.77171 | + | 1.10748i | −0.127217 | + | 0.0373542i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 20.8333 | + | 24.0429i | 0.701891 | + | 0.810025i | 0.989007 | − | 0.147871i | \(-0.0472420\pi\) |
−0.287116 | + | 0.957896i | \(0.592697\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.15624 | + | 10.7492i | −0.106216 | + | 0.361739i | −0.995399 | − | 0.0958124i | \(-0.969455\pi\) |
0.889183 | + | 0.457551i | \(0.151273\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.394898 | + | 1.60045i | −0.0132743 | + | 0.0537987i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 13.0124 | + | 11.2753i | 0.436913 | + | 0.378587i | 0.845362 | − | 0.534194i | \(-0.179385\pi\) |
−0.408449 | + | 0.912781i | \(0.633930\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.859496 | − | 5.97793i | −0.0288266 | − | 0.200493i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 6.01739 | + | 13.1763i | 0.201590 | + | 0.441421i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −11.9127 | − | 5.44034i | −0.398643 | − | 0.182054i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.62227 | − | 12.1377i | 0.321637 | − | 0.405720i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.35891 | − | 7.77096i | −0.0787616 | − | 0.259465i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 7.41835 | − | 4.76748i | 0.247416 | − | 0.159004i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 31.5718 | − | 69.1325i | 1.05181 | − | 2.30314i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 9.04314 | − | 4.12986i | 0.300937 | − | 0.137433i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −23.1795 | − | 45.3969i | −0.770513 | − | 1.50904i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.51496 | − | 6.51175i | −0.249530 | − | 0.216219i | 0.521110 | − | 0.853489i | \(-0.325518\pi\) |
−0.770640 | + | 0.637270i | \(0.780063\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 20.9283 | + | 13.4498i | 0.694149 | + | 0.446103i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 32.0890 | + | 9.42218i | 1.06316 | + | 0.312171i | 0.766121 | − | 0.642696i | \(-0.222184\pi\) |
0.297034 | + | 0.954867i | \(0.404002\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −42.3589 | + | 36.7042i | −1.40188 | + | 1.21473i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −10.3314 | − | 14.6292i | −0.341547 | − | 0.483626i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −28.2086 | − | 4.05578i | −0.931529 | − | 0.133934i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.2273 | −0.733211 | −0.366605 | − | 0.930377i | \(-0.619480\pi\) | ||||
−0.366605 | + | 0.930377i | \(0.619480\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 17.4277 | 0.574261 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −22.4866 | − | 3.23308i | −0.740154 | − | 0.106418i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.68818 | − | 2.67005i | −0.121267 | − | 0.0877907i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 23.3859 | − | 20.2640i | 0.768094 | − | 0.665557i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 24.2736 | + | 7.12736i | 0.796390 | + | 0.233841i | 0.654521 | − | 0.756044i | \(-0.272871\pi\) |
0.141869 | + | 0.989885i | \(0.454689\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.87185 | + | 5.05893i | 0.257990 | + | 0.165800i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −6.18806 | − | 5.36199i | −0.202588 | − | 0.175544i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −53.7786 | + | 27.4592i | −1.75875 | + | 0.898012i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 33.8406 | − | 15.4545i | 1.10552 | − | 0.504876i | 0.222846 | − | 0.974854i | \(-0.428465\pi\) |
0.882678 | + | 0.469978i | \(0.155738\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −2.49651 | + | 5.46660i | −0.0814705 | + | 0.178396i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −30.4104 | + | 19.5436i | −0.991351 | + | 0.637103i | −0.932502 | − | 0.361164i | \(-0.882379\pi\) |
−0.0588490 | + | 0.998267i | \(0.518743\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 27.4002 | + | 3.68497i | 0.892274 | + | 0.119999i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −18.5895 | + | 23.4492i | −0.604716 | + | 0.762802i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −10.7265 | − | 4.89862i | −0.348564 | − | 0.159184i | 0.233437 | − | 0.972372i | \(-0.425003\pi\) |
−0.582001 | + | 0.813188i | \(0.697730\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −8.36956 | − | 18.3268i | −0.271687 | − | 0.594913i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.738401 | + | 5.13569i | 0.0239443 | + | 0.166536i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −29.7913 | − | 25.8144i | −0.965036 | − | 0.836209i | 0.0214969 | − | 0.999769i | \(-0.493157\pi\) |
−0.986533 | + | 0.163560i | \(0.947702\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −57.3806 | − | 14.1581i | −1.85679 | − | 0.458147i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 4.62320 | − | 15.7452i | 0.149447 | − | 0.508969i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −18.3564 | − | 21.1844i | −0.592760 | − | 0.684082i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 27.4795 | − | 8.06870i | 0.886434 | − | 0.260281i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −34.3046 | − | 4.93226i | −1.10545 | − | 0.158940i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 15.8527 | + | 46.3895i | 0.510318 | + | 1.49333i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.22009i | 0.0392356i | 0.999808 | + | 0.0196178i | \(0.00624494\pi\) | ||||
−0.999808 | + | 0.0196178i | \(0.993755\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.37583 | − | 16.5243i | 0.0763227 | − | 0.530836i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 57.9124 | − | 17.0046i | 1.85850 | − | 0.545704i | 0.859070 | − | 0.511858i | \(-0.171043\pi\) |
0.999427 | − | 0.0338457i | \(-0.0107755\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 21.7387 | − | 18.8367i | 0.696912 | − | 0.603878i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −7.88470 | + | 3.08525i | −0.252512 | + | 0.0988069i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 17.7715 | − | 27.6530i | 0.568561 | − | 0.884699i | −0.431285 | − | 0.902216i | \(-0.641940\pi\) |
0.999847 | + | 0.0175168i | \(0.00557605\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −23.0680 | + | 26.6219i | −0.737257 | + | 0.850839i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −4.01251 | − | 27.9076i | −0.128110 | − | 0.891021i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −39.2541 | + | 17.9267i | −1.25201 | + | 0.571774i | −0.927399 | − | 0.374073i | \(-0.877961\pi\) |
−0.324611 | + | 0.945847i | \(0.605234\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −51.6873 | − | 5.13953i | −1.64689 | − | 0.163759i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −5.99190 | − | 9.32357i | −0.190724 | − | 0.296773i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −16.2692 | − | 10.2473i | −0.517331 | − | 0.325844i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.07042 | + | 3.25856i | −0.161067 | + | 0.103512i | −0.618691 | − | 0.785634i | \(-0.712337\pi\) |
0.457624 | + | 0.889146i | \(0.348701\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 12.3052 | + | 5.61959i | 0.390493 | + | 0.178332i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −38.6680 | − | 40.8726i | −1.22586 | − | 1.29575i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 15.7560 | − | 2.26537i | 0.498997 | − | 0.0717449i | 0.111779 | − | 0.993733i | \(-0.464345\pi\) |
0.387218 | + | 0.921988i | \(0.373436\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.49959 | − | 2.88468i | 0.0790835 | − | 0.0912672i |
(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.s.a.449.5 | yes | 120 | |
5.4 | even | 2 | inner | 460.2.s.a.449.8 | yes | 120 | |
23.2 | even | 11 | inner | 460.2.s.a.209.8 | yes | 120 | |
115.94 | even | 22 | inner | 460.2.s.a.209.5 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.s.a.209.5 | ✓ | 120 | 115.94 | even | 22 | inner | |
460.2.s.a.209.8 | yes | 120 | 23.2 | even | 11 | inner | |
460.2.s.a.449.5 | yes | 120 | 1.1 | even | 1 | trivial | |
460.2.s.a.449.8 | yes | 120 | 5.4 | even | 2 | inner |