Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [512,2,Mod(17,512)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(512, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("512.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 512 = 2^{9} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 512.k (of order \(32\), degree \(16\), not 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: | \(4.08834058349\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{32})\) |
Twist minimal: | no (minimal twist has level 128) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 49.5 | ||
Character | \(\chi\) | \(=\) | 512.49 |
Dual form | 512.2.k.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 \(\left(\mathbb{Z}/512\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{5}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.166477 | − | 1.69027i | −0.0961157 | − | 0.975879i | −0.915415 | − | 0.402512i | \(-0.868137\pi\) |
0.819299 | − | 0.573367i | \(-0.194363\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.32067 | + | 1.24042i | 1.03784 | + | 0.554735i | 0.900077 | − | 0.435731i | \(-0.143510\pi\) |
0.137759 | + | 0.990466i | \(0.456010\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.239955 | − | 1.20633i | 0.0906943 | − | 0.455951i | −0.908575 | − | 0.417722i | \(-0.862828\pi\) |
0.999269 | − | 0.0382286i | \(-0.0121715\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.113053 | − | 0.0224877i | 0.0376844 | − | 0.00749589i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.84394 | + | 3.46535i | 0.857481 | + | 1.04484i | 0.998495 | + | 0.0548358i | \(0.0174635\pi\) |
−0.141015 | + | 0.990008i | \(0.545036\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.35954 | − | 4.41439i | −0.654419 | − | 1.22433i | −0.962062 | − | 0.272830i | \(-0.912040\pi\) |
0.307643 | − | 0.951502i | \(-0.400460\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.71032 | − | 4.12907i | 0.441602 | − | 1.06612i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.17351 | + | 5.24732i | 0.527154 | + | 1.27266i | 0.933380 | + | 0.358890i | \(0.116845\pi\) |
−0.406225 | + | 0.913773i | \(0.633155\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.528494 | − | 1.74221i | 0.121245 | − | 0.399691i | −0.875218 | − | 0.483729i | \(-0.839282\pi\) |
0.996462 | + | 0.0840387i | \(0.0267819\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.07898 | − | 0.204761i | −0.453670 | − | 0.0446826i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.92750 | + | 2.62427i | 0.818941 | + | 0.547199i | 0.893001 | − | 0.450055i | \(-0.148596\pi\) |
−0.0740600 | + | 0.997254i | \(0.523596\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.06901 | + | 1.59989i | 0.213802 | + | 0.319978i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.53593 | − | 5.06329i | −0.295590 | − | 0.974431i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.46356 | − | 3.66315i | −0.828862 | − | 0.680229i | 0.121085 | − | 0.992642i | \(-0.461363\pi\) |
−0.949946 | + | 0.312413i | \(0.898863\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.404410 | − | 0.404410i | −0.0726343 | − | 0.0726343i | 0.669856 | − | 0.742491i | \(-0.266356\pi\) |
−0.742491 | + | 0.669856i | \(0.766356\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 5.38394 | − | 5.38394i | 0.937223 | − | 0.937223i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.05322 | − | 2.50186i | 0.347058 | − | 0.422891i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.42968 | + | 0.737036i | −0.399437 | + | 0.121168i | −0.483611 | − | 0.875283i | \(-0.660675\pi\) |
0.0841736 | + | 0.996451i | \(0.473175\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.06871 | + | 4.72316i | −1.13190 | + | 0.756311i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.45626 | − | 3.67605i | 0.383603 | − | 0.574103i | −0.588547 | − | 0.808463i | \(-0.700300\pi\) |
0.972150 | + | 0.234361i | \(0.0752996\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.899839 | − | 9.13621i | 0.137224 | − | 1.39326i | −0.642091 | − | 0.766628i | \(-0.721933\pi\) |
0.779316 | − | 0.626632i | \(-0.215567\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.290253 | + | 0.0880474i | 0.0432684 | + | 0.0131253i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.00050 | + | 2.07128i | −0.729398 | + | 0.302127i | −0.716305 | − | 0.697788i | \(-0.754168\pi\) |
−0.0130936 | + | 0.999914i | \(0.504168\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.06950 | + | 2.09985i | 0.724214 | + | 0.299979i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 8.50756 | − | 4.54739i | 1.19130 | − | 0.636762i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.22450 | − | 5.92899i | 0.992362 | − | 0.814410i | 0.00972534 | − | 0.999953i | \(-0.496904\pi\) |
0.982636 | + | 0.185543i | \(0.0594043\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.30135 | + | 11.5696i | 0.310313 | + | 1.56005i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.03279 | − | 0.603260i | −0.401703 | − | 0.0799037i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.16502 | + | 11.5339i | −0.802618 | + | 1.50159i | 0.0613905 | + | 0.998114i | \(0.480446\pi\) |
−0.864008 | + | 0.503478i | \(0.832054\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.4783 | + | 1.03202i | −1.34161 | + | 0.132137i | −0.743208 | − | 0.669060i | \(-0.766697\pi\) |
−0.598400 | + | 0.801197i | \(0.704197\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | − | 0.141776i | − | 0.0178621i | ||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | − | 13.1712i | − | 1.63368i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.123903 | + | 0.0122034i | −0.0151371 | + | 0.00149088i | −0.105583 | − | 0.994411i | \(-0.533671\pi\) |
0.0904457 | + | 0.995901i | \(0.471171\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.78189 | − | 7.07543i | 0.455287 | − | 0.851781i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.55491 | − | 1.90059i | −1.13396 | − | 0.225559i | −0.407791 | − | 0.913075i | \(-0.633701\pi\) |
−0.726169 | + | 0.687517i | \(0.758701\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.35394 | + | 11.8340i | 0.275507 | + | 1.38507i | 0.832258 | + | 0.554389i | \(0.187048\pi\) |
−0.556751 | + | 0.830680i | \(0.687952\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.52628 | − | 2.07327i | 0.291710 | − | 0.239400i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.86279 | − | 2.59921i | 0.554166 | − | 0.296208i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.76306 | + | 1.14450i | 0.310868 | + | 0.128766i | 0.532663 | − | 0.846328i | \(-0.321191\pi\) |
−0.221795 | + | 0.975093i | \(0.571191\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.98316 | + | 3.30673i | −0.887018 | + | 0.367415i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.85237 | + | 0.865258i | 0.313089 | + | 0.0949744i | 0.442919 | − | 0.896562i | \(-0.353943\pi\) |
−0.129830 | + | 0.991536i | \(0.541443\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.46490 | + | 14.8734i | −0.158891 | + | 1.61325i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.44863 | + | 8.15445i | −0.584155 | + | 0.874249i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −8.92598 | + | 5.96415i | −0.946152 | + | 0.632198i | −0.929956 | − | 0.367670i | \(-0.880155\pi\) |
−0.0161957 | + | 0.999869i | \(0.505155\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.89141 | + | 1.78714i | −0.617587 | + | 0.187343i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.616238 | + | 0.750889i | −0.0639009 | + | 0.0778635i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.38754 | − | 3.38754i | 0.347554 | − | 0.347554i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.34408 | + | 6.34408i | 0.644144 | + | 0.644144i | 0.951572 | − | 0.307427i | \(-0.0994682\pi\) |
−0.307427 | + | 0.951572i | \(0.599468\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.399444 | + | 0.327815i | 0.0401457 | + | 0.0329467i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.85716 | + | 12.7153i | 0.383802 | + | 1.26522i | 0.909910 | + | 0.414807i | \(0.136151\pi\) |
−0.526108 | + | 0.850418i | \(0.676349\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.58796 | + | 5.36976i | 0.353532 | + | 0.529099i | 0.965027 | − | 0.262150i | \(-0.0844315\pi\) |
−0.611495 | + | 0.791248i | \(0.709431\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.57063 | − | 3.05400i | −0.446048 | − | 0.298040i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.08074 | − | 0.303427i | −0.297827 | − | 0.0293334i | −0.0519997 | − | 0.998647i | \(-0.516559\pi\) |
−0.245827 | + | 0.969314i | \(0.579059\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.69072 | + | 8.87010i | −0.257724 | + | 0.849602i | 0.728622 | + | 0.684916i | \(0.240161\pi\) |
−0.986346 | + | 0.164686i | \(0.947339\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.65028 | + | 3.98412i | 0.156637 | + | 0.378156i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.445076 | + | 1.07451i | −0.0418692 | + | 0.101081i | −0.943431 | − | 0.331570i | \(-0.892422\pi\) |
0.901561 | + | 0.432651i | \(0.142422\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.85923 | + | 10.9618i | 0.546376 | + | 1.02220i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.366023 | − | 0.446000i | −0.0338388 | − | 0.0412327i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 6.85157 | − | 1.36286i | 0.628082 | − | 0.124933i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.77467 | + | 8.92189i | −0.161334 | + | 0.811081i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.62243 | − | 3.53977i | −0.597125 | − | 0.319170i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.793320 | − | 8.05471i | −0.0709567 | − | 0.720435i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.9234 | −1.23550 | −0.617751 | − | 0.786373i | \(-0.711956\pi\) | ||||
−0.617751 | + | 0.786373i | \(0.711956\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −15.5925 | −1.37284 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.61772 | + | 16.4250i | 0.141341 | + | 1.43506i | 0.760267 | + | 0.649610i | \(0.225068\pi\) |
−0.618926 | + | 0.785449i | \(0.712432\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.97487 | − | 1.05559i | −0.171243 | − | 0.0915313i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.71624 | − | 13.6554i | 0.233777 | − | 1.17527i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.85651 | − | 1.56276i | 0.671227 | − | 0.133515i | 0.152300 | − | 0.988334i | \(-0.451332\pi\) |
0.518926 | + | 0.854819i | \(0.326332\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.72035 | − | 10.6258i | −0.739650 | − | 0.901267i | 0.258247 | − | 0.966079i | \(-0.416855\pi\) |
−0.997897 | + | 0.0648123i | \(0.979355\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.33349 | + | 8.10739i | 0.364946 | + | 0.682765i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 8.58703 | − | 20.7309i | 0.718083 | − | 1.73361i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.81459 | − | 14.0377i | −0.482876 | − | 1.16576i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.70537 | − | 8.91840i | 0.223135 | − | 0.735577i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −21.3609 | − | 2.10387i | −1.74996 | − | 0.172356i | −0.828280 | − | 0.560315i | \(-0.810680\pi\) |
−0.921676 | + | 0.387959i | \(0.873180\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.78610 | − | 3.86615i | −0.470866 | − | 0.314623i | 0.297400 | − | 0.954753i | \(-0.403880\pi\) |
−0.768267 | + | 0.640130i | \(0.778880\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.363722 | + | 0.544349i | 0.0294052 | + | 0.0440080i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.436863 | − | 1.44014i | −0.0350897 | − | 0.115675i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.94907 | − | 6.52363i | −0.634405 | − | 0.520643i | 0.261319 | − | 0.965252i | \(-0.415842\pi\) |
−0.895724 | + | 0.444610i | \(0.853342\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −11.2243 | − | 11.2243i | −0.890147 | − | 0.890147i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.10817 | − | 4.10817i | 0.323769 | − | 0.323769i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.21342 | − | 3.91557i | 0.251695 | − | 0.306691i | −0.631800 | − | 0.775131i | \(-0.717684\pi\) |
0.883495 | + | 0.468440i | \(0.155184\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 19.1727 | − | 5.81598i | 1.49259 | − | 0.452773i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 11.4411 | − | 7.64473i | 0.885342 | − | 0.591567i | −0.0276167 | − | 0.999619i | \(-0.508792\pi\) |
0.912959 | + | 0.408052i | \(0.133792\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.69700 | + | 10.0228i | −0.515154 | + | 0.770982i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.0205696 | − | 0.208847i | 0.00157300 | − | 0.0159709i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 7.51099 | + | 2.27843i | 0.571050 | + | 0.173226i | 0.562587 | − | 0.826738i | \(-0.309806\pi\) |
0.00846288 | + | 0.999964i | \(0.497306\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.18651 | − | 0.905684i | 0.165285 | − | 0.0684632i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 20.5218 | + | 8.50042i | 1.54252 | + | 0.638931i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −7.21589 | + | 3.85697i | −0.539341 | + | 0.288284i | −0.718489 | − | 0.695538i | \(-0.755166\pi\) |
0.179148 | + | 0.983822i | \(0.442666\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.45160 | + | 6.11537i | −0.553873 | + | 0.454552i | −0.869221 | − | 0.494424i | \(-0.835379\pi\) |
0.315348 | + | 0.948976i | \(0.397879\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.48880 | + | 17.5394i | 0.257899 | + | 1.29655i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.55273 | − | 1.30342i | −0.481766 | − | 0.0958293i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −12.0025 | + | 22.4551i | −0.877709 | + | 1.64208i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −6.47657 | + | 0.637887i | −0.471101 | + | 0.0463994i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 13.9561i | 1.00983i | 0.863170 | + | 0.504914i | \(0.168476\pi\) | ||||
−0.863170 | + | 0.504914i | \(0.831524\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | − | 16.0823i | − | 1.15763i | −0.815458 | − | 0.578816i | \(-0.803515\pi\) | ||
0.815458 | − | 0.578816i | \(-0.196485\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −22.2629 | + | 2.19270i | −1.59428 | + | 0.157023i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.35541 | − | 6.27754i | 0.239063 | − | 0.447256i | −0.733566 | − | 0.679618i | \(-0.762145\pi\) |
0.972629 | + | 0.232362i | \(0.0746455\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 14.4188 | + | 2.86808i | 1.02212 | + | 0.203313i | 0.677573 | − | 0.735456i | \(-0.263032\pi\) |
0.344549 | + | 0.938768i | \(0.388032\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.0412540 | + | 0.207398i | 0.00290983 | + | 0.0146287i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −5.49003 | + | 4.50555i | −0.385324 | + | 0.316227i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.2600 | − | 5.48410i | 0.716592 | − | 0.383026i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.503030 | + | 0.208362i | 0.0349630 | + | 0.0144822i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 7.54038 | − | 3.12333i | 0.521579 | − | 0.216045i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.0418 | + | 7.59635i | 1.72395 | + | 0.522954i | 0.988050 | − | 0.154135i | \(-0.0492592\pi\) |
0.735900 | + | 0.677090i | \(0.236759\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.62184 | + | 16.4668i | −0.111127 | + | 1.12829i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 13.4210 | − | 20.0860i | 0.915306 | − | 1.36985i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.584894 | + | 0.390814i | −0.0397052 | + | 0.0265302i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 19.6108 | − | 5.94889i | 1.32518 | − | 0.401988i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 18.0353 | − | 21.9760i | 1.21318 | − | 1.47827i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.2314 | + | 11.2314i | −0.752109 | + | 0.752109i | −0.974873 | − | 0.222763i | \(-0.928492\pi\) |
0.222763 | + | 0.974873i | \(0.428492\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.156833 | + | 0.156833i | 0.0104555 | + | 0.0104555i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −18.5633 | − | 15.2345i | −1.23209 | − | 1.01115i | −0.999253 | − | 0.0386372i | \(-0.987698\pi\) |
−0.232839 | − | 0.972515i | \(-0.574802\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.61076 | − | 11.9031i | −0.238606 | − | 0.786578i | −0.991690 | − | 0.128653i | \(-0.958935\pi\) |
0.753084 | − | 0.657924i | \(-0.228565\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −5.20292 | − | 7.78672i | −0.342327 | − | 0.512329i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −15.3098 | − | 10.2297i | −1.00298 | − | 0.670169i | −0.0583452 | − | 0.998296i | \(-0.518582\pi\) |
−0.944633 | + | 0.328128i | \(0.893582\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.1738 | − | 1.39600i | −0.924596 | − | 0.0910647i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.47452 | − | 4.86085i | 0.0957805 | − | 0.315746i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.60829 | + | 11.1254i | 0.298085 | + | 0.719642i | 0.999973 | + | 0.00735403i | \(0.00234088\pi\) |
−0.701888 | + | 0.712288i | \(0.747659\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.00151407 | + | 0.00365530i | −9.75300e−5 | + | 0.000235458i | −0.923928 | − | 0.382566i | \(-0.875041\pi\) |
0.923831 | + | 0.382801i | \(0.125041\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.564369 | − | 1.05586i | −0.0362043 | − | 0.0677335i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 9.15992 | + | 11.1614i | 0.585206 | + | 0.713076i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.93780 | + | 1.77784i | −0.568699 | + | 0.113121i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.987666 | − | 4.96533i | 0.0625908 | − | 0.314665i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 21.9077 | + | 11.7099i | 1.38280 | + | 0.739123i | 0.984043 | − | 0.177933i | \(-0.0569410\pi\) |
0.398759 | + | 0.917056i | \(0.369441\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.07555 | + | 21.0735i | 0.130489 | + | 1.32488i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 25.3840 | 1.58960 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.135446 | 0.00844889 | 0.00422444 | − | 0.999991i | \(-0.498655\pi\) | ||||
0.00422444 | + | 0.999991i | \(0.498655\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.306098 | + | 3.10786i | 0.0190200 | + | 0.193113i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.586995 | − | 0.313755i | −0.0363341 | − | 0.0194210i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 4.13027 | − | 20.7643i | 0.254683 | − | 1.28038i | −0.615690 | − | 0.787988i | \(-0.711123\pi\) |
0.870374 | − | 0.492392i | \(-0.163877\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 24.1202 | − | 4.79780i | 1.48169 | − | 0.294726i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.5670 | + | 14.0944i | 0.707889 | + | 0.862565i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 7.66285 | + | 14.3362i | 0.467212 | + | 0.874093i | 0.999619 | + | 0.0276040i | \(0.00878774\pi\) |
−0.532407 | + | 0.846489i | \(0.678712\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.27846 | − | 10.3291i | 0.259898 | − | 0.627449i | −0.739033 | − | 0.673669i | \(-0.764717\pi\) |
0.998931 | + | 0.0462196i | \(0.0147174\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 4.00154 | + | 9.66056i | 0.242184 | + | 0.584684i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.50397 | + | 8.25450i | −0.150995 | + | 0.497765i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 24.0197 | + | 2.36573i | 1.44320 | + | 0.142143i | 0.789101 | − | 0.614263i | \(-0.210547\pi\) |
0.654102 | + | 0.756407i | \(0.273047\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.0548141 | − | 0.0366256i | −0.00328163 | − | 0.00219272i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −17.6077 | − | 26.3518i | −1.05039 | − | 1.57202i | −0.796362 | − | 0.604821i | \(-0.793245\pi\) |
−0.254027 | − | 0.967197i | \(-0.581755\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.30912 | + | 10.9087i | 0.196707 | + | 0.648455i | 0.998693 | + | 0.0511122i | \(0.0162766\pi\) |
−0.801986 | + | 0.597342i | \(0.796223\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −6.28981 | − | 5.16192i | −0.372576 | − | 0.305766i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.84515 | − | 3.84515i | −0.226972 | − | 0.226972i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.7894 | + | 10.7894i | −0.634673 | + | 0.634673i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 9.66708 | − | 11.7794i | 0.566694 | − | 0.690519i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.15920 | − | 1.26168i | 0.242983 | − | 0.0737080i | −0.166444 | − | 0.986051i | \(-0.553229\pi\) |
0.409427 | + | 0.912343i | \(0.365729\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −28.6140 | + | 19.1193i | −1.66597 | + | 1.11317i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 13.1780 | − | 19.7223i | 0.764665 | − | 1.14440i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.31746 | − | 23.5296i | 0.134022 | − | 1.36075i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.8054 | − | 3.27778i | −0.622813 | − | 0.188928i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 20.8503 | − | 8.63646i | 1.19782 | − | 0.496152i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −25.5968 | − | 10.6026i | −1.46567 | − | 0.607101i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.3235 | + | 6.58702i | −0.703337 | + | 0.375941i | −0.783967 | − | 0.620803i | \(-0.786807\pi\) |
0.0806300 | + | 0.996744i | \(0.474307\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.47905 | − | 6.95857i | 0.482356 | − | 0.395859i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.457287 | − | 2.29894i | −0.0259304 | − | 0.130361i | 0.965652 | − | 0.259839i | \(-0.0836697\pi\) |
−0.991582 | + | 0.129479i | \(0.958670\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −16.5689 | − | 3.29576i | −0.936529 | − | 0.186287i | −0.296846 | − | 0.954925i | \(-0.595935\pi\) |
−0.639684 | + | 0.768638i | \(0.720935\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.175862 | − | 0.329015i | 0.00990871 | − | 0.0185379i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 15.5842 | − | 1.53491i | 0.875296 | − | 0.0862092i | 0.349618 | − | 0.936892i | \(-0.386311\pi\) |
0.525679 | + | 0.850683i | \(0.323811\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 25.8856i | − | 1.44931i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.25780i | 0.293462i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.2906 | − | 1.01354i | 0.572586 | − | 0.0563948i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.54016 | − | 8.49404i | 0.251843 | − | 0.471165i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 15.4408 | + | 3.07137i | 0.853880 | + | 0.169847i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.29876 | + | 6.52928i | 0.0716027 | + | 0.359971i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.46294 | − | 6.12468i | 0.410200 | − | 0.336643i | −0.406556 | − | 0.913626i | \(-0.633270\pi\) |
0.816756 | + | 0.576983i | \(0.195770\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.258109 | + | 0.137962i | −0.0141443 | + | 0.00756028i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.302675 | − | 0.125372i | −0.0165369 | − | 0.00684981i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −27.4666 | + | 11.3770i | −1.49620 | + | 0.619747i | −0.972656 | − | 0.232251i | \(-0.925391\pi\) |
−0.523545 | + | 0.851998i | \(0.675391\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.89031 | + | 0.573418i | 0.102667 | + | 0.0311438i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.251305 | − | 2.55155i | 0.0136089 | − | 0.138174i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.53290 | − | 12.7704i | 0.460733 | − | 0.689536i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 17.5531 | − | 11.7286i | 0.945025 | − | 0.631446i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.420104 | − | 0.127437i | 0.0225524 | − | 0.00684118i | −0.278988 | − | 0.960294i | \(-0.589999\pi\) |
0.301541 | + | 0.953453i | \(0.402499\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.62883 | − | 8.07725i | 0.354833 | − | 0.432365i | −0.564749 | − | 0.825262i | \(-0.691027\pi\) |
0.919582 | + | 0.392897i | \(0.128527\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −18.7273 | + | 18.7273i | −0.999587 | + | 0.999587i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.92601 | − | 4.92601i | −0.262185 | − | 0.262185i | 0.563756 | − | 0.825941i | \(-0.309356\pi\) |
−0.825941 | + | 0.563756i | \(0.809356\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −19.8163 | − | 16.2628i | −1.05174 | − | 0.863140i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.44423 | − | 11.3541i | −0.182288 | − | 0.600924i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −9.29622 | − | 13.9128i | −0.490636 | − | 0.734288i | 0.500703 | − | 0.865619i | \(-0.333075\pi\) |
−0.991339 | + | 0.131331i | \(0.958075\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.0419 | + | 8.71434i | 0.686417 | + | 0.458649i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 15.3759 | + | 1.51439i | 0.807023 | + | 0.0794849i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.21652 | + | 30.3828i | −0.482414 | + | 1.59031i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.90211 | + | 7.00630i | 0.151489 | + | 0.365726i | 0.981346 | − | 0.192249i | \(-0.0615783\pi\) |
−0.829857 | + | 0.557976i | \(0.811578\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.195022 | − | 0.470824i | 0.0101524 | − | 0.0245101i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5.41879 | − | 10.1378i | −0.281330 | − | 0.526331i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.57935 | − | 8.01696i | −0.340666 | − | 0.415103i | 0.574293 | − | 0.818650i | \(-0.305277\pi\) |
−0.914959 | + | 0.403547i | \(0.867777\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −13.4826 | + | 2.68185i | −0.696237 | + | 0.138490i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −5.63862 | + | 28.3472i | −0.290403 | + | 1.45996i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.2626 | − | 10.8306i | −1.04082 | − | 0.556329i | −0.139832 | − | 0.990175i | \(-0.544656\pi\) |
−0.900987 | + | 0.433846i | \(0.857156\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.31793 | + | 23.5343i | 0.118751 | + | 1.20570i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.22072 | 0.113473 | 0.0567366 | − | 0.998389i | \(-0.481930\pi\) | ||||
0.0567366 | + | 0.998389i | \(0.481930\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.5091 | 0.739450 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.103723 | − | 1.05311i | −0.00527251 | − | 0.0535327i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −20.3349 | − | 10.8692i | −1.03102 | − | 0.551092i | −0.133033 | − | 0.991112i | \(-0.542472\pi\) |
−0.897988 | + | 0.440019i | \(0.854972\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.23394 | + | 26.3128i | −0.264692 | + | 1.33069i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 27.4934 | − | 5.46878i | 1.38686 | − | 0.275863i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 4.99249 | + | 6.08336i | 0.251199 | + | 0.306087i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.76073 | + | 12.6484i | 0.339311 | + | 0.634806i | 0.992480 | − | 0.122406i | \(-0.0390609\pi\) |
−0.653169 | + | 0.757212i | \(0.726561\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.45546 | + | 3.51380i | −0.0728643 | + | 0.175910i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.55475 | + | 13.4103i | 0.277391 | + | 0.669680i | 0.999762 | − | 0.0218252i | \(-0.00694771\pi\) |
−0.722371 | + | 0.691506i | \(0.756948\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.831003 | + | 2.73945i | −0.0413952 | + | 0.136462i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −22.6280 | − | 2.22867i | −1.12440 | − | 0.110743i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −9.46397 | − | 6.32362i | −0.469111 | − | 0.313450i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.30735 | − | 9.43961i | −0.311878 | − | 0.466759i | 0.642106 | − | 0.766616i | \(-0.278061\pi\) |
−0.953984 | + | 0.299857i | \(0.903061\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −3.94941 | − | 13.0195i | −0.194810 | − | 0.642203i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 12.4345 | + | 10.2047i | 0.611859 | + | 0.502140i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.54614 | + | 5.54614i | 0.272249 | + | 0.272249i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −16.5087 | + | 16.5087i | −0.808435 | + | 0.808435i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −10.5649 | + | 12.8733i | −0.516127 | + | 0.628903i | −0.964226 | − | 0.265081i | \(-0.914601\pi\) |
0.448099 | + | 0.893984i | \(0.352101\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.7929 | + | 3.27399i | −0.526013 | + | 0.159564i | −0.542112 | − | 0.840306i | \(-0.682375\pi\) |
0.0160991 | + | 0.999870i | \(0.494875\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.518744 | + | 0.346614i | −0.0252222 | + | 0.0168529i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −6.07163 | + | 9.08683i | −0.294517 | + | 0.440776i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.26935 | + | 12.8880i | −0.0614283 | + | 0.623692i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −36.4704 | − | 11.0632i | −1.76081 | − | 0.534135i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −6.77521 | + | 2.80638i | −0.326350 | + | 0.135179i | −0.539842 | − | 0.841766i | \(-0.681516\pi\) |
0.213492 | + | 0.976945i | \(0.431516\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 18.9855 | + | 7.86406i | 0.912385 | + | 0.377922i | 0.788969 | − | 0.614433i | \(-0.210615\pi\) |
0.123416 | + | 0.992355i | \(0.460615\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −22.7595 | + | 12.1652i | −1.09123 | + | 0.583276i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 6.64770 | − | 5.45562i | 0.318003 | − | 0.260978i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.118473 | + | 0.595603i | 0.00565439 | + | 0.0284266i | 0.983509 | − | 0.180857i | \(-0.0578870\pi\) |
−0.977855 | + | 0.209283i | \(0.932887\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.620343 | + | 0.123394i | 0.0295401 | + | 0.00587590i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 13.4576 | − | 25.1774i | 0.639390 | − | 1.19622i | −0.328419 | − | 0.944532i | \(-0.606516\pi\) |
0.967810 | − | 0.251683i | \(-0.0809841\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −28.1123 | + | 2.76882i | −1.33265 | + | 0.131255i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 36.4560i | 1.72431i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.68438i | 0.268263i | 0.990964 | + | 0.134131i | \(0.0428244\pi\) | ||||
−0.990964 | + | 0.134131i | \(0.957176\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 19.7243 | − | 1.94267i | 0.928780 | − | 0.0914768i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −5.57159 | + | 10.4237i | −0.261776 | + | 0.489749i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −15.8888 | − | 3.16049i | −0.744880 | − | 0.148166i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.50389 | − | 7.56059i | −0.0703492 | − | 0.353669i | 0.929537 | − | 0.368728i | \(-0.120207\pi\) |
−0.999887 | + | 0.0150585i | \(0.995207\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 23.2304 | − | 19.0647i | 1.08430 | − | 0.889863i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 14.9822 | − | 8.00813i | 0.697789 | − | 0.372976i | −0.0840457 | − | 0.996462i | \(-0.526784\pi\) |
0.781834 | + | 0.623486i | \(0.214284\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.476273 | + | 0.197279i | 0.0221343 | + | 0.00916832i | 0.393723 | − | 0.919229i | \(-0.371187\pi\) |
−0.371589 | + | 0.928397i | \(0.621187\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.36151 | + | 0.978169i | −0.109512 | + | 0.0453615i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.640297 | − | 0.194232i | −0.0296294 | − | 0.00898798i | 0.275435 | − | 0.961320i | \(-0.411178\pi\) |
−0.305065 | + | 0.952332i | \(0.598678\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.0150097 | + | 0.152396i | −0.000693085 | + | 0.00703701i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −9.70337 | + | 14.5221i | −0.447108 | + | 0.669144i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 34.2193 | − | 22.8646i | 1.57341 | − | 1.05132i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.35231 | − | 1.01691i | 0.153815 | − | 0.0466591i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.683423 | − | 0.832753i | 0.0312918 | − | 0.0381292i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −19.3257 | + | 19.3257i | −0.883013 | + | 0.883013i | −0.993840 | − | 0.110826i | \(-0.964650\pi\) |
0.110826 | + | 0.993840i | \(0.464650\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.98650 | + | 8.98650i | 0.409749 | + | 0.409749i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −7.62784 | − | 6.26000i | −0.347079 | − | 0.284840i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.85318 | + | 22.5919i | 0.311187 | + | 1.02584i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.99682 | − | 8.97488i | −0.271742 | − | 0.406690i | 0.670350 | − | 0.742045i | \(-0.266144\pi\) |
−0.942092 | + | 0.335354i | \(0.891144\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −7.15334 | − | 4.77971i | −0.323485 | − | 0.216146i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −14.5775 | − | 1.43576i | −0.657875 | − | 0.0647950i | −0.236429 | − | 0.971649i | \(-0.575977\pi\) |
−0.421446 | + | 0.906854i | \(0.638477\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.52012 | − | 31.3836i | 0.428765 | − | 1.41345i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.520348 | + | 1.25623i | 0.0233879 | + | 0.0564634i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −4.58549 | + | 11.0704i | −0.205687 | + | 0.496573i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.21471 | − | 15.3686i | −0.367741 | − | 0.687995i | 0.628195 | − | 0.778056i | \(-0.283794\pi\) |
−0.995936 | + | 0.0900606i | \(0.971294\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −14.8263 | − | 18.0660i | −0.662392 | − | 0.807128i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 38.7570 | − | 7.70925i | 1.72809 | − | 0.343739i | 0.771735 | − | 0.635944i | \(-0.219389\pi\) |
0.956355 | + | 0.292206i | \(0.0943893\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.82124 | + | 34.2927i | −0.303541 | + | 1.52600i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 18.0561 | + | 9.65119i | 0.801900 | + | 0.428624i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.16391 | + | 11.8173i | 0.0515893 | + | 0.523795i | 0.985900 | + | 0.167335i | \(0.0535162\pi\) |
−0.934311 | + | 0.356459i | \(0.883984\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 14.8406 | 0.656510 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −9.63305 | −0.425310 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.66569 | + | 16.9121i | 0.0733992 | + | 0.745234i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −21.3988 | − | 11.4379i | −0.941120 | − | 0.503039i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.60076 | − | 13.0749i | 0.114161 | − | 0.573925i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.0812832 | − | 0.0161682i | 0.00356108 | − | 0.000708343i | −0.193309 | − | 0.981138i | \(-0.561922\pi\) |
0.196871 | + | 0.980429i | \(0.436922\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.0428 | + | 19.5483i | 0.701504 | + | 0.854785i | 0.994864 | − | 0.101217i | \(-0.0322735\pi\) |
−0.293360 | + | 0.956002i | \(0.594774\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.89486 | − | 3.54503i | −0.0826983 | − | 0.154718i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.24308 | − | 3.00106i | 0.0541495 | − | 0.130728i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.263255 | − | 0.635553i | −0.0114458 | − | 0.0276327i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.437603 | + | 1.44259i | −0.0189904 | + | 0.0626029i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −22.0232 | − | 2.16909i | −0.953929 | − | 0.0939538i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.77301 | − | 4.52558i | −0.292823 | − | 0.195658i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 7.72061 | + | 11.5547i | 0.333169 | + | 0.498623i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 7.14062 | + | 23.5395i | 0.307568 | + | 1.01392i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.3412 | − | 13.4108i | −0.702562 | − | 0.576577i | 0.213825 | − | 0.976872i | \(-0.431408\pi\) |
−0.916387 | + | 0.400295i | \(0.868908\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 11.5772 | + | 11.5772i | 0.496823 | + | 0.496823i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −17.2470 | + | 17.2470i | −0.738779 | + | 0.738779i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.0002 | − | 12.1852i | 0.427576 | − | 0.521003i | −0.514006 | − | 0.857787i | \(-0.671839\pi\) |
0.941582 | + | 0.336784i | \(0.109339\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.16140 | + | 0.352306i | −0.0495672 | + | 0.0150360i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −8.74094 | + | 5.84051i | −0.372376 | + | 0.248814i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.04365 | − | 3.05854i | 0.0869049 | − | 0.130062i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.11225 | + | 11.2929i | −0.0472125 | + | 0.479356i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −5.53316 | − | 1.67847i | −0.234448 | − | 0.0711189i | 0.170875 | − | 0.985293i | \(-0.445341\pi\) |
−0.405322 | + | 0.914174i | \(0.632841\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −42.4540 | + | 17.5850i | −1.79561 | + | 0.743768i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 39.9533 | + | 16.5492i | 1.68683 | + | 0.698708i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −22.9888 | + | 12.2878i | −0.968863 | + | 0.517868i | −0.878345 | − | 0.478027i | \(-0.841352\pi\) |
−0.0905175 | + | 0.995895i | \(0.528852\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.36572 | + | 1.94150i | −0.0995267 | + | 0.0816794i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.07343 | + | 10.4238i | 0.0870757 | + | 0.437759i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 19.6192 | + | 3.90249i | 0.822478 | + | 0.163601i | 0.588352 | − | 0.808605i | \(-0.299777\pi\) |
0.234126 | + | 0.972206i | \(0.424777\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.74397 | − | 7.00448i | 0.156680 | − | 0.293128i | −0.791317 | − | 0.611406i | \(-0.790604\pi\) |
0.947998 | + | 0.318278i | \(0.103104\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 23.5896 | − | 2.32337i | 0.985469 | − | 0.0970602i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 9.08895i | 0.379035i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 31.9709i | − | 1.33097i | −0.746413 | − | 0.665483i | \(-0.768226\pi\) | ||
0.746413 | − | 0.665483i | \(-0.231774\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −27.1835 | + | 2.67734i | −1.12971 | + | 0.111267i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.72823 | − | 3.23329i | 0.0716990 | − | 0.134139i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 41.0921 | + | 8.17373i | 1.70186 | + | 0.338521i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.296189 | − | 1.48904i | −0.0122459 | − | 0.0615644i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −20.8006 | + | 17.0706i | −0.858532 | + | 0.704579i | −0.956852 | − | 0.290576i | \(-0.906153\pi\) |
0.0983198 | + | 0.995155i | \(0.468653\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.918297 | + | 0.490840i | −0.0378378 | + | 0.0202247i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −11.1693 | − | 4.62649i | −0.459445 | − | 0.190309i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −23.9376 | + | 9.91530i | −0.983001 | + | 0.407172i | −0.815536 | − | 0.578706i | \(-0.803558\pi\) |
−0.167465 | + | 0.985878i | \(0.553558\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 17.5908 | + | 5.33610i | 0.721151 | + | 0.218759i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.44743 | − | 24.8491i | 0.100167 | − | 1.01701i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −6.56909 | + | 9.83133i | −0.268406 | + | 0.401697i | −0.941049 | − | 0.338269i | \(-0.890159\pi\) |
0.672644 | + | 0.739966i | \(0.265159\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.51163 | − | 3.68275i | 0.224824 | − | 0.150223i | −0.438057 | − | 0.898947i | \(-0.644333\pi\) |
0.662881 | + | 0.748724i | \(0.269333\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.0137332 | + | 0.00416591i | −0.000559258 | + | 0.000169649i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −15.1854 | + | 18.5034i | −0.617373 | + | 0.752271i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.8059 | − | 20.8059i | 0.844487 | − | 0.844487i | −0.144952 | − | 0.989439i | \(-0.546303\pi\) |
0.989439 | + | 0.144952i | \(0.0463028\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 8.52956 | + | 8.52956i | 0.345635 | + | 0.345635i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 20.9423 | + | 17.1869i | 0.847235 | + | 0.695308i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.55366 | + | 24.9011i | 0.305089 | + | 1.00574i | 0.966703 | + | 0.255900i | \(0.0823718\pi\) |
−0.661614 | + | 0.749845i | \(0.730128\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −10.9777 | − | 16.4293i | −0.442663 | − | 0.662492i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 17.2556 | + | 11.5298i | 0.694684 | + | 0.464173i | 0.852113 | − | 0.523357i | \(-0.175321\pi\) |
−0.157429 | + | 0.987530i | \(0.550321\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.2321 | − | 1.20475i | −0.491648 | − | 0.0484231i | −0.150844 | − | 0.988558i | \(-0.548199\pi\) |
−0.340804 | + | 0.940134i | \(0.610699\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.25508 | − | 23.9168i | 0.291136 | − | 0.959748i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 5.05292 | + | 12.1988i | 0.202441 | + | 0.488736i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.8320 | − | 28.5649i | 0.473279 | − | 1.14260i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −6.53457 | − | 12.2253i | −0.260966 | − | 0.488233i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −9.14841 | − | 11.1474i | −0.364771 | − | 0.444475i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.69710 | − | 0.337574i | 0.0675604 | − | 0.0134386i | −0.161194 | − | 0.986923i | \(-0.551535\pi\) |
0.228755 | + | 0.973484i | \(0.426535\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 8.67101 | − | 43.5921i | 0.344642 | − | 1.73263i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −32.3117 | − | 17.2709i | −1.28225 | − | 0.685376i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.69211 | − | 27.3334i | −0.106665 | − | 1.08299i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.12295 | −0.0444233 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 18.6498 | 0.736623 | 0.368312 | − | 0.929702i | \(-0.379936\pi\) | ||||
0.368312 | + | 0.929702i | \(0.379936\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.304767 | − | 3.09435i | −0.0120188 | − | 0.122029i | 0.987303 | − | 0.158847i | \(-0.0507778\pi\) |
−0.999322 | + | 0.0368181i | \(0.988278\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −36.1850 | − | 19.3413i | −1.42478 | − | 0.761563i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.0407744 | + | 0.204987i | −0.00160301 | + | 0.00805886i | −0.981579 | − | 0.191059i | \(-0.938808\pi\) |
0.979975 | + | 0.199118i | \(0.0638077\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −57.5022 | + | 11.4379i | −2.25716 | + | 0.448977i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.757952 | + | 0.923568i | 0.0297065 | + | 0.0361975i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 17.7105 | + | 33.1340i | 0.693064 | + | 1.29663i | 0.944421 | + | 0.328737i | \(0.106623\pi\) |
−0.251357 | + | 0.967894i | \(0.580877\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.6198 | + | 40.1237i | −0.649389 | + | 1.56776i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.532239 | + | 1.28494i | 0.0207646 | + | 0.0501303i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 9.14628 | − | 30.1512i | 0.356288 | − | 1.17453i | −0.577407 | − | 0.816457i | \(-0.695935\pi\) |
0.933695 | − | 0.358069i | \(-0.116565\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 32.8774 | + | 3.23814i | 1.27878 | + | 0.125949i | 0.714502 | − | 0.699633i | \(-0.246653\pi\) |
0.564281 | + | 0.825582i | \(0.309153\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −40.1479 | − | 26.8260i | −1.55921 | − | 1.04183i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3.27365 | − | 4.89936i | −0.126947 | − | 0.189989i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.91753 | − | 26.1006i | −0.306568 | − | 1.01062i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 20.8539 | + | 17.1143i | 0.806257 | + | 0.661678i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −33.3760 | − | 33.3760i | −1.28847 | − | 1.28847i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.6949 | − | 23.6949i | 0.913370 | − | 0.913370i | −0.0831659 | − | 0.996536i | \(-0.526503\pi\) |
0.996536 | + | 0.0831659i | \(0.0265031\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 6.45878 | − | 7.87004i | 0.248598 | − | 0.302918i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 4.78697 | − | 1.45211i | 0.183978 | − | 0.0558092i | −0.196951 | − | 0.980413i | \(-0.563104\pi\) |
0.380929 | + | 0.924604i | \(0.375604\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.17537 | − | 6.13078i | 0.352118 | − | 0.235278i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.6601 | + | 33.9133i | −0.868339 | + | 1.29956i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.30338 | − | 13.2334i | 0.0498725 | − | 0.506364i | −0.937504 | − | 0.347974i | \(-0.886870\pi\) |
0.987377 | − | 0.158390i | \(-0.0506302\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 20.1709 | + | 6.11876i | 0.770689 | + | 0.233786i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −19.5183 | + | 8.08475i | −0.744670 | + | 0.308453i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −43.2194 | − | 17.9021i | −1.64653 | − | 0.682014i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.9144 | − | 9.57545i | 0.681496 | − | 0.364267i | −0.0940417 | − | 0.995568i | \(-0.529979\pi\) |
0.775538 | + | 0.631301i | \(0.217479\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.491303 | − | 0.403202i | 0.0186631 | − | 0.0153164i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −7.05659 | − | 35.4759i | −0.267672 | − | 1.34568i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 24.6281 | + | 4.89884i | 0.932857 | + | 0.185557i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −14.7422 | + | 27.5807i | −0.557602 | + | 1.04320i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 32.3427 | − | 3.18548i | 1.22157 | − | 0.120314i | 0.533398 | − | 0.845865i | \(-0.320915\pi\) |
0.688169 | + | 0.725551i | \(0.258415\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.62254i | 0.174342i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 24.1899i | 0.911046i | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 16.2645 | − | 1.60191i | 0.611689 | − | 0.0602461i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −10.4682 | + | 19.5846i | −0.393141 | + | 0.735515i | −0.998156 | − | 0.0606989i | \(-0.980667\pi\) |
0.605015 | + | 0.796214i | \(0.293167\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.338109 | + | 0.0672541i | 0.0126801 | + | 0.00252223i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.527040 | − | 2.64961i | −0.0197378 | − | 0.0992286i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 45.6428 | − | 37.4581i | 1.70694 | − | 1.40085i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 18.0378 | − | 9.64138i | 0.673632 | − | 0.360064i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.41192 | + | 0.999049i | 0.0899493 | + | 0.0372582i | 0.427204 | − | 0.904155i | \(-0.359498\pi\) |
−0.337255 | + | 0.941413i | \(0.609498\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.33867 | − | 3.03978i | 0.273306 | − | 0.113207i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.00643050 | + | 0.00195067i | 0.000239153 | + | 7.25463e-5i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.08903 | − | 11.0571i | 0.0404457 | − | 0.410652i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.51724 | − | 2.27071i | 0.0562713 | − | 0.0842160i | −0.802267 | − | 0.596965i | \(-0.796373\pi\) |
0.858538 | + | 0.512749i | \(0.171373\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −23.2447 | + | 15.5316i | −0.860915 | + | 0.575245i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 49.8965 | − | 15.1359i | 1.84549 | − | 0.559823i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −18.0423 | + | 21.9846i | −0.666408 | + | 0.812021i | −0.991004 | − | 0.133832i | \(-0.957272\pi\) |
0.324596 | + | 0.945853i | \(0.394772\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 17.3409 | − | 17.3409i | 0.639628 | − | 0.639628i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.394662 | − | 0.394662i | −0.0145375 | − | 0.0145375i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 23.3875 | + | 19.1936i | 0.860323 | + | 0.706049i | 0.957256 | − | 0.289242i | \(-0.0934033\pi\) |
−0.0969331 | + | 0.995291i | \(0.530903\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.49297 | + | 14.8113i | 0.165053 | + | 0.544108i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 28.5843 | + | 42.7795i | 1.04866 | + | 1.56943i | 0.799223 | + | 0.601035i | \(0.205245\pi\) |
0.249434 | + | 0.968392i | \(0.419755\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −46.9620 | − | 31.3790i | −1.72056 | − | 1.14964i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.341927 | + | 0.0336769i | 0.0125105 | + | 0.00123217i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.10527 | + | 3.64359i | −0.0403858 | + | 0.133134i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.76767 | − | 4.26752i | −0.0645030 | − | 0.155724i | 0.888341 | − | 0.459184i | \(-0.151858\pi\) |
−0.952844 | + | 0.303460i | \(0.901858\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 16.1458 | − | 38.9794i | 0.588385 | − | 1.42049i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −8.63198 | − | 16.1493i | −0.314150 | − | 0.587733i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.60667 | + | 11.7058i | 0.349160 | + | 0.425453i | 0.917744 | − | 0.397172i | \(-0.130008\pi\) |
−0.568584 | + | 0.822625i | \(0.692508\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 35.2743 | − | 7.01650i | 1.28038 | − | 0.254683i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 0.714883 | − | 3.59396i | 0.0259145 | − | 0.130281i | −0.965662 | − | 0.259800i | \(-0.916343\pi\) |
0.991577 | + | 0.129519i | \(0.0413434\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.0546 | + | 5.37432i | 0.364003 | + | 0.194563i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.168856 | + | 1.71443i | 0.00610501 | + | 0.0619852i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 65.4620 | 2.36369 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.6192 | 0.382937 | 0.191468 | − | 0.981499i | \(-0.438675\pi\) | ||||
0.191468 | + | 0.981499i | \(0.438675\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.0225487 | − | 0.228940i | −0.000812070 | − | 0.00824509i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 22.0656 | + | 11.7943i | 0.793645 | + | 0.424212i | 0.817804 | − | 0.575496i | \(-0.195191\pi\) |
−0.0241597 | + | 0.999708i | \(0.507691\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.214692 | − | 1.07933i | 0.00771198 | − | 0.0387707i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 5.20217 | − | 1.03478i | 0.186627 | − | 0.0371224i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −5.10634 | − | 6.22209i | −0.182954 | − | 0.222930i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −20.5874 | − | 38.5163i | −0.736675 | − | 1.37822i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −11.6919 | + | 28.2266i | −0.417833 | + | 1.00874i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.3551 | − | 24.9994i | −0.369590 | − | 0.892268i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 8.74150 | − | 28.8169i | 0.311601 | − | 1.02721i | −0.651630 | − | 0.758537i | \(-0.725915\pi\) |
0.963231 | − | 0.268674i | \(-0.0865854\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −35.7849 | − | 3.52450i | −1.27397 | − | 0.125476i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.18942 | + | 0.794743i | 0.0422908 | + | 0.0282578i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 29.2797 | + | 43.8202i | 1.03975 | + | 1.55610i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −12.1250 | − | 39.9709i | −0.430031 | − | 1.41762i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −20.2702 | − | 16.6353i | −0.718007 | − | 0.589253i | 0.202824 | − | 0.979215i | \(-0.434988\pi\) |
−0.920831 | + | 0.389962i | \(0.872488\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −21.7373 | − | 21.7373i | −0.769011 | − | 0.769011i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.874990 | + | 0.874990i | −0.0309162 | + | 0.0309162i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −34.3146 | + | 41.8125i | −1.21094 | + | 1.47553i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 14.6296 | − | 4.43784i | 0.515625 | − | 0.156413i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 22.9564 | − | 15.3389i | 0.808102 | − | 0.539956i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 17.8427 | − | 26.7034i | 0.627315 | − | 0.938843i | −0.372626 | − | 0.927982i | \(-0.621543\pi\) |
0.999941 | − | 0.0108614i | \(-0.00345735\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.900862 | − | 9.14660i | 0.0316335 | − | 0.321181i | −0.966325 | − | 0.257323i | \(-0.917160\pi\) |
0.997959 | − | 0.0638578i | \(-0.0203404\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −18.1713 | − | 5.51220i | −0.637295 | − | 0.193321i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 12.3143 | − | 5.10074i | 0.431350 | − | 0.178671i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −15.4417 | − | 6.39614i | −0.540235 | − | 0.223773i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.625853 | + | 0.334526i | −0.0218691 | + | 0.0116893i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 7.20043 | − | 5.90924i | 0.251297 | − | 0.206234i | −0.500308 | − | 0.865847i | \(-0.666780\pi\) |
0.751605 | + | 0.659614i | \(0.229280\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.63857 | + | 33.3743i | 0.231406 | + | 1.16336i | 0.905380 | + | 0.424601i | \(0.139586\pi\) |
−0.673974 | + | 0.738755i | \(0.735414\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 14.3692 | + | 2.85821i | 0.500271 | + | 0.0995101i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 12.5341 | − | 23.4497i | 0.435855 | − | 0.815427i | −0.564092 | − | 0.825712i | \(-0.690774\pi\) |
0.999947 | + | 0.0102847i | \(0.00327378\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 30.1919 | − | 2.97364i | 1.04861 | − | 0.103279i | 0.440993 | − | 0.897511i | \(-0.354626\pi\) |
0.607615 | + | 0.794232i | \(0.292126\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 40.9936i | − | 1.42205i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 31.1654i | 1.07982i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 36.0338 | − | 3.54902i | 1.24700 | − | 0.122819i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.42650 | + | 2.66880i | −0.0493071 | + | 0.0922471i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −7.84784 | − | 1.56103i | −0.270938 | − | 0.0538929i | 0.0577516 | − | 0.998331i | \(-0.481607\pi\) |
−0.328689 | + | 0.944438i | \(0.606607\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.847081 | + | 4.25856i | 0.0292097 | + | 0.146847i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −41.6104 | + | 34.1488i | −1.43314 | + | 1.17615i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −27.9740 | + | 14.9524i | −0.962336 | + | 0.514379i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.3369 | + | 4.28170i | 0.355181 | + | 0.147121i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 17.8878 | − | 7.40935i | 0.613906 | − | 0.254288i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −11.4768 | − | 3.48144i | −0.393418 | − | 0.119342i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0.964497 | − | 9.79271i | 0.0330238 | − | 0.335296i | −0.964450 | − | 0.264264i | \(-0.914871\pi\) |
0.997474 | − | 0.0710316i | \(-0.0226291\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.306794 | − | 0.459150i | 0.0104921 | − | 0.0157026i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 29.7750 | − | 19.8950i | 1.01709 | − | 0.679600i | 0.0690078 | − | 0.997616i | \(-0.478017\pi\) |
0.948085 | + | 0.318016i | \(0.103017\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −32.6428 | + | 9.90208i | −1.11376 | + | 0.337855i | −0.792948 | − | 0.609289i | \(-0.791455\pi\) |
−0.320809 | + | 0.947144i | \(0.603955\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −5.85922 | + | 7.13948i | −0.199682 | + | 0.243313i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 24.9118 | − | 24.9118i | 0.848007 | − | 0.848007i | −0.141877 | − | 0.989884i | \(-0.545314\pi\) |
0.989884 | + | 0.141877i | \(0.0453139\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14.6043 | + | 14.6043i | 0.496561 | + | 0.496561i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 20.0333 | + | 16.4409i | 0.680366 | + | 0.558362i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.89189 | + | 12.8298i | 0.132023 | + | 0.435223i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.346224 | + | 0.518161i | 0.0117314 | + | 0.0175572i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.859882 | + | 0.574555i | 0.0291026 | + | 0.0194457i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −9.90702 | − | 0.975756i | −0.334918 | − | 0.0329866i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.79919 | + | 12.5242i | −0.128289 | + | 0.422913i | −0.997430 | − | 0.0716522i | \(-0.977173\pi\) |
0.869140 | + | 0.494566i | \(0.164673\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −2.82499 | − | 6.82013i | −0.0952846 | − | 0.230037i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 0.186574 | − | 0.450428i | 0.00628582 | − | 0.0151753i | −0.920705 | − | 0.390258i | \(-0.872386\pi\) |
0.926991 | + | 0.375083i | \(0.122386\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.72048 | − | 10.7023i | −0.192509 | − | 0.360160i | 0.767085 | − | 0.641545i | \(-0.221706\pi\) |
−0.959595 | + | 0.281385i | \(0.909206\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 37.0803 | + | 45.1825i | 1.24644 | + | 1.51879i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −37.3800 | + | 7.43535i | −1.25510 | + | 0.249655i | −0.777477 | − | 0.628911i | \(-0.783501\pi\) |
−0.477621 | + | 0.878566i | \(0.658501\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.34099 | + | 16.7963i | −0.112053 | + | 0.563329i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −34.1626 | − | 18.2603i | −1.14449 | − | 0.611743i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.965864 | + | 9.80659i | 0.0323214 | + | 0.328165i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −21.5300 | −0.719668 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −40.1572 | −1.34081 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.323694 | + | 3.28652i | 0.0107958 | + | 0.109612i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 46.8139 | + | 25.0226i | 1.55960 | + | 0.833622i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −3.74149 | + | 18.8097i | −0.124509 | + | 0.625949i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −24.8784 | + | 4.94862i | −0.826985 | + | 0.164498i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 28.6902 | + | 34.9591i | 0.952641 | + | 1.16080i | 0.986892 | + | 0.161384i | \(0.0515956\pi\) |
−0.0342504 | + | 0.999413i | \(0.510904\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.722002 | + | 1.35077i | 0.0239473 | + | 0.0448023i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.1999 | − | 39.1100i | 0.536726 | − | 1.29577i | −0.390270 | − | 0.920700i | \(-0.627618\pi\) |
0.926996 | − | 0.375071i | \(-0.122382\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.11356 | + | 12.3452i | 0.169234 | + | 0.408567i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −13.6599 | + | 45.0307i | −0.451583 | + | 1.48867i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 20.2022 | + | 1.98974i | 0.667136 | + | 0.0657071i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 37.9265 | + | 25.3416i | 1.25108 | + | 0.835944i | 0.991542 | − | 0.129789i | \(-0.0414302\pi\) |
0.259537 | + | 0.965733i | \(0.416430\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 13.1854 | + | 19.7334i | 0.434475 | + | 0.650238i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 14.1553 | + | 46.6636i | 0.465926 | + | 1.53595i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.77654 | − | 3.09932i | −0.124172 | − | 0.101905i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.526384 | + | 0.526384i | 0.0172887 | + | 0.0172887i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −7.64179 | + | 7.64179i | −0.250719 | + | 0.250719i | −0.821265 | − | 0.570546i | \(-0.806731\pi\) |
0.570546 | + | 0.821265i | \(0.306731\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.33759 | − | 7.72237i | 0.207706 | − | 0.253090i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3.80970 | + | 1.15566i | −0.124724 | + | 0.0378346i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −55.7077 | + | 37.2227i | −1.82184 | + | 1.21731i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.7398 | − | 19.0665i | 0.416193 | − | 0.622876i | −0.562843 | − | 0.826564i | \(-0.690293\pi\) |
0.979036 | + | 0.203687i | \(0.0652926\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −2.81238 | + | 28.5546i | −0.0917786 | + | 0.931844i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 18.6670 | + | 5.66258i | 0.608528 | + | 0.184595i | 0.579484 | − | 0.814983i | \(-0.303254\pi\) |
0.0290432 | + | 0.999578i | \(0.490754\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 19.2939 | − | 7.99180i | 0.628297 | − | 0.260249i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −15.8212 | − | 6.55337i | −0.514665 | − | 0.213181i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 10.4501 | − | 5.58571i | 0.339583 | − | 0.181511i | −0.292786 | − | 0.956178i | \(-0.594582\pi\) |
0.632370 | + | 0.774667i | \(0.282082\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 46.6858 | − | 38.3141i | 1.51549 | − | 1.24373i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −5.18883 | − | 26.0860i | −0.168259 | − | 0.845897i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −36.6021 | − | 7.28060i | −1.18566 | − | 0.235842i | −0.437410 | − | 0.899262i | \(-0.644104\pi\) |
−0.748247 | + | 0.663420i | \(0.769104\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.3115 | + | 32.3875i | −0.560187 | + | 1.04804i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −43.7537 | + | 4.30936i | −1.41435 | + | 0.139302i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | − | 9.85256i | − | 0.318156i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 30.6729i | − | 0.989449i | ||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −0.355111 | + | 0.0349754i | −0.0114433 | + | 0.00112707i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 19.9489 | − | 37.3218i | 0.642179 | − | 1.20143i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.8905 | − | 6.54233i | −1.05769 | − | 0.210387i | −0.364543 | − | 0.931186i | \(-0.618775\pi\) |
−0.693144 | + | 0.720799i | \(0.743775\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.42631 | − | 17.2252i | −0.110069 | − | 0.553354i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −32.4958 | + | 26.6686i | −1.04284 | + | 0.855838i | −0.989758 | − | 0.142752i | \(-0.954405\pi\) |
−0.0530828 | + | 0.998590i | \(0.516905\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14.9107 | + | 7.96994i | −0.478015 | + | 0.255505i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −15.1131 | − | 6.26004i | −0.484006 | − | 0.200482i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −35.0782 | + | 14.5299i | −1.12225 | + | 0.464852i | −0.865140 | − | 0.501530i | \(-0.832771\pi\) |
−0.257111 | + | 0.966382i | \(0.582771\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −46.0528 | − | 13.9700i | −1.47186 | − | 0.446482i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.104726 | + | 1.06330i | −0.00334364 | + | 0.0339486i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 11.7766 | − | 17.6249i | 0.375615 | − | 0.562148i | −0.594713 | − | 0.803938i | \(-0.702734\pi\) |
0.970329 | + | 0.241790i | \(0.0777345\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 15.5736 | − | 10.4060i | 0.496217 | − | 0.331562i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 10.8200 | − | 3.28223i | 0.344406 | − | 0.104474i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 27.5100 | − | 33.5211i | 0.874768 | − | 1.06591i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 29.1013 | − | 29.1013i | 0.924434 | − | 0.924434i | −0.0729051 | − | 0.997339i | \(-0.523227\pi\) |
0.997339 | + | 0.0729051i | \(0.0232270\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −11.5948 | − | 11.5948i | −0.367949 | − | 0.367949i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 29.9037 | + | 24.5413i | 0.948010 | + | 0.778011i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.12157 | + | 3.69733i | 0.0355205 | + | 0.117096i | 0.972908 | − | 0.231193i | \(-0.0742629\pi\) |
−0.937387 | + | 0.348289i | \(0.886763\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 7.46366 | + | 11.1702i | 0.236140 | + | 0.353408i |
(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 | 512.2.k.a.49.5 | 240 | ||
4.3 | odd | 2 | 128.2.k.a.53.11 | yes | 240 | ||
128.29 | even | 32 | inner | 512.2.k.a.209.5 | 240 | ||
128.99 | odd | 32 | 128.2.k.a.29.11 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.2.k.a.29.11 | ✓ | 240 | 128.99 | odd | 32 | ||
128.2.k.a.53.11 | yes | 240 | 4.3 | odd | 2 | ||
512.2.k.a.49.5 | 240 | 1.1 | even | 1 | trivial | ||
512.2.k.a.209.5 | 240 | 128.29 | even | 32 | inner |