Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(115,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.115");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.f (of order \(5\), degree \(4\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 7 x^{14} - 13 x^{13} + 51 x^{12} - 74 x^{11} + 332 x^{10} - 614 x^{9} + 1832 x^{8} - 2960 x^{7} + 5348 x^{6} - 6872 x^{5} + 8232 x^{4} - 6344 x^{3} + 3984 x^{2} + \cdots + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 191.4 | ||
Root | \(0.540846 - 1.66455i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 418.191 |
Dual form | 418.2.f.g.267.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | 0.540846 | − | 1.66455i | 0.312257 | − | 0.961029i | −0.664611 | − | 0.747189i | \(-0.731403\pi\) |
0.976869 | − | 0.213840i | \(-0.0685972\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 2.42502 | − | 1.76188i | 1.08450 | − | 0.787936i | 0.106038 | − | 0.994362i | \(-0.466183\pi\) |
0.978462 | + | 0.206426i | \(0.0661834\pi\) | |||||||
\(6\) | 1.41595 | − | 1.02875i | 0.578060 | − | 0.419985i | ||||
\(7\) | 0.0678059 | + | 0.208685i | 0.0256282 | + | 0.0788756i | 0.963053 | − | 0.269313i | \(-0.0867967\pi\) |
−0.937424 | + | 0.348189i | \(0.886797\pi\) | |||||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −0.0511674 | − | 0.0371753i | −0.0170558 | − | 0.0123918i | ||||
\(10\) | 2.99749 | 0.947888 | ||||||||
\(11\) | −2.87157 | − | 1.65954i | −0.865812 | − | 0.500369i | ||||
\(12\) | 1.75021 | 0.505243 | ||||||||
\(13\) | 1.17773 | + | 0.855668i | 0.326643 | + | 0.237320i | 0.739005 | − | 0.673700i | \(-0.235296\pi\) |
−0.412362 | + | 0.911020i | \(0.635296\pi\) | |||||||
\(14\) | −0.0678059 | + | 0.208685i | −0.0181219 | + | 0.0557735i | ||||
\(15\) | −1.62118 | − | 4.98947i | −0.418586 | − | 1.28828i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −2.45198 | + | 1.78147i | −0.594693 | + | 0.432069i | −0.843991 | − | 0.536357i | \(-0.819800\pi\) |
0.249298 | + | 0.968427i | \(0.419800\pi\) | |||||||
\(18\) | −0.0195442 | − | 0.0601509i | −0.00460661 | − | 0.0141777i | ||||
\(19\) | 0.309017 | − | 0.951057i | 0.0708934 | − | 0.218187i | ||||
\(20\) | 2.42502 | + | 1.76188i | 0.542250 | + | 0.393968i | ||||
\(21\) | 0.384040 | 0.0838044 | ||||||||
\(22\) | −1.34770 | − | 3.03046i | −0.287331 | − | 0.646097i | ||||
\(23\) | −1.59420 | −0.332413 | −0.166206 | − | 0.986091i | \(-0.553152\pi\) | ||||
−0.166206 | + | 0.986091i | \(0.553152\pi\) | |||||||
\(24\) | 1.41595 | + | 1.02875i | 0.289030 | + | 0.209993i | ||||
\(25\) | 1.23141 | − | 3.78988i | 0.246282 | − | 0.757977i | ||||
\(26\) | 0.449851 | + | 1.38450i | 0.0882231 | + | 0.271523i | ||||
\(27\) | 4.15830 | − | 3.02118i | 0.800266 | − | 0.581427i | ||||
\(28\) | −0.177518 | + | 0.128975i | −0.0335478 | + | 0.0243739i | ||||
\(29\) | 1.09211 | + | 3.36117i | 0.202800 | + | 0.624154i | 0.999797 | + | 0.0201701i | \(0.00642078\pi\) |
−0.796997 | + | 0.603984i | \(0.793579\pi\) | |||||||
\(30\) | 1.62118 | − | 4.98947i | 0.295985 | − | 0.910948i | ||||
\(31\) | −2.58312 | − | 1.87675i | −0.463942 | − | 0.337074i | 0.331134 | − | 0.943584i | \(-0.392569\pi\) |
−0.795076 | + | 0.606510i | \(0.792569\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −4.31546 | + | 3.88233i | −0.751226 | + | 0.675827i | ||||
\(34\) | −3.03081 | −0.519780 | ||||||||
\(35\) | 0.532108 | + | 0.386599i | 0.0899427 | + | 0.0653472i | ||||
\(36\) | 0.0195442 | − | 0.0601509i | 0.00325737 | − | 0.0100251i | ||||
\(37\) | 0.324198 | + | 0.997779i | 0.0532978 | + | 0.164034i | 0.974162 | − | 0.225849i | \(-0.0725155\pi\) |
−0.920865 | + | 0.389883i | \(0.872516\pi\) | |||||||
\(38\) | 0.809017 | − | 0.587785i | 0.131240 | − | 0.0953514i | ||||
\(39\) | 2.06127 | − | 1.49760i | 0.330068 | − | 0.239808i | ||||
\(40\) | 0.926274 | + | 2.85078i | 0.146457 | + | 0.450748i | ||||
\(41\) | −1.77266 | + | 5.45570i | −0.276843 | + | 0.852037i | 0.711882 | + | 0.702299i | \(0.247843\pi\) |
−0.988726 | + | 0.149738i | \(0.952157\pi\) | |||||||
\(42\) | 0.310695 | + | 0.225733i | 0.0479412 | + | 0.0348313i | ||||
\(43\) | 5.67401 | 0.865278 | 0.432639 | − | 0.901567i | \(-0.357582\pi\) | ||||
0.432639 | + | 0.901567i | \(0.357582\pi\) | |||||||
\(44\) | 0.690949 | − | 3.24385i | 0.104165 | − | 0.489029i | ||||
\(45\) | −0.189580 | −0.0282609 | ||||||||
\(46\) | −1.28973 | − | 0.937045i | −0.190161 | − | 0.138160i | ||||
\(47\) | −2.13949 | + | 6.58466i | −0.312076 | + | 0.960472i | 0.664865 | + | 0.746964i | \(0.268489\pi\) |
−0.976941 | + | 0.213508i | \(0.931511\pi\) | |||||||
\(48\) | 0.540846 | + | 1.66455i | 0.0780643 | + | 0.240257i | ||||
\(49\) | 5.62417 | − | 4.08620i | 0.803452 | − | 0.583742i | ||||
\(50\) | 3.22387 | − | 2.34228i | 0.455924 | − | 0.331248i | ||||
\(51\) | 1.63920 | + | 5.04495i | 0.229534 | + | 0.706434i | ||||
\(52\) | −0.449851 | + | 1.38450i | −0.0623832 | + | 0.191996i | ||||
\(53\) | −1.20992 | − | 0.879062i | −0.166196 | − | 0.120748i | 0.501578 | − | 0.865112i | \(-0.332753\pi\) |
−0.667774 | + | 0.744364i | \(0.732753\pi\) | |||||||
\(54\) | 5.13995 | 0.699458 | ||||||||
\(55\) | −9.88752 | + | 1.03495i | −1.33323 | + | 0.139553i | ||||
\(56\) | −0.219425 | −0.0293218 | ||||||||
\(57\) | −1.41595 | − | 1.02875i | −0.187547 | − | 0.136261i | ||||
\(58\) | −1.09211 | + | 3.36117i | −0.143401 | + | 0.441343i | ||||
\(59\) | −0.0621808 | − | 0.191373i | −0.00809525 | − | 0.0249146i | 0.946927 | − | 0.321448i | \(-0.104169\pi\) |
−0.955023 | + | 0.296533i | \(0.904169\pi\) | |||||||
\(60\) | 4.24430 | − | 3.08366i | 0.547936 | − | 0.398099i | ||||
\(61\) | −9.14270 | + | 6.64256i | −1.17060 | + | 0.850493i | −0.991081 | − | 0.133261i | \(-0.957455\pi\) |
−0.179522 | + | 0.983754i | \(0.557455\pi\) | |||||||
\(62\) | −0.986664 | − | 3.03664i | −0.125306 | − | 0.385654i | ||||
\(63\) | 0.00428848 | − | 0.0131986i | 0.000540298 | − | 0.00166286i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 4.36359 | 0.541237 | ||||||||
\(66\) | −5.77326 | + | 0.604303i | −0.710639 | + | 0.0743846i | ||||
\(67\) | −5.87830 | −0.718148 | −0.359074 | − | 0.933309i | \(-0.616907\pi\) | ||||
−0.359074 | + | 0.933309i | \(0.616907\pi\) | |||||||
\(68\) | −2.45198 | − | 1.78147i | −0.297346 | − | 0.216035i | ||||
\(69\) | −0.862214 | + | 2.65362i | −0.103798 | + | 0.319459i | ||||
\(70\) | 0.203247 | + | 0.625531i | 0.0242927 | + | 0.0747652i | ||||
\(71\) | −2.77129 | + | 2.01346i | −0.328892 | + | 0.238954i | −0.739960 | − | 0.672650i | \(-0.765156\pi\) |
0.411068 | + | 0.911605i | \(0.365156\pi\) | |||||||
\(72\) | 0.0511674 | − | 0.0371753i | 0.00603013 | − | 0.00438115i | ||||
\(73\) | 2.83389 | + | 8.72182i | 0.331682 | + | 1.02081i | 0.968333 | + | 0.249660i | \(0.0803190\pi\) |
−0.636652 | + | 0.771152i | \(0.719681\pi\) | |||||||
\(74\) | −0.324198 | + | 0.997779i | −0.0376873 | + | 0.115989i | ||||
\(75\) | −5.64246 | − | 4.09948i | −0.651535 | − | 0.473368i | ||||
\(76\) | 1.00000 | 0.114708 | ||||||||
\(77\) | 0.151611 | − | 0.711781i | 0.0172777 | − | 0.0811150i | ||||
\(78\) | 2.54787 | 0.288490 | ||||||||
\(79\) | −4.19903 | − | 3.05077i | −0.472427 | − | 0.343239i | 0.325959 | − | 0.945384i | \(-0.394313\pi\) |
−0.798387 | + | 0.602145i | \(0.794313\pi\) | |||||||
\(80\) | −0.926274 | + | 2.85078i | −0.103561 | + | 0.318727i | ||||
\(81\) | −2.83855 | − | 8.73616i | −0.315394 | − | 0.970684i | ||||
\(82\) | −4.64089 | + | 3.37181i | −0.512501 | + | 0.372354i | ||||
\(83\) | −4.18186 | + | 3.03830i | −0.459019 | + | 0.333497i | −0.793146 | − | 0.609031i | \(-0.791559\pi\) |
0.334127 | + | 0.942528i | \(0.391559\pi\) | |||||||
\(84\) | 0.118675 | + | 0.365244i | 0.0129485 | + | 0.0398513i | ||||
\(85\) | −2.80736 | + | 8.64018i | −0.304501 | + | 0.937159i | ||||
\(86\) | 4.59037 | + | 3.33510i | 0.494992 | + | 0.359633i | ||||
\(87\) | 6.18551 | 0.663156 | ||||||||
\(88\) | 2.46568 | − | 2.21820i | 0.262842 | − | 0.236461i | ||||
\(89\) | −6.32025 | −0.669945 | −0.334972 | − | 0.942228i | \(-0.608727\pi\) | ||||
−0.334972 | + | 0.942228i | \(0.608727\pi\) | |||||||
\(90\) | −0.153374 | − | 0.111432i | −0.0161670 | − | 0.0117460i | ||||
\(91\) | −0.0987085 | + | 0.303793i | −0.0103475 | + | 0.0318462i | ||||
\(92\) | −0.492634 | − | 1.51617i | −0.0513606 | − | 0.158072i | ||||
\(93\) | −4.52101 | + | 3.28471i | −0.468807 | + | 0.340608i | ||||
\(94\) | −5.60125 | + | 4.06955i | −0.577725 | + | 0.419742i | ||||
\(95\) | −0.926274 | − | 2.85078i | −0.0950337 | − | 0.292484i | ||||
\(96\) | −0.540846 | + | 1.66455i | −0.0551998 | + | 0.169888i | ||||
\(97\) | −3.41795 | − | 2.48329i | −0.347041 | − | 0.252140i | 0.400586 | − | 0.916259i | \(-0.368807\pi\) |
−0.747626 | + | 0.664120i | \(0.768807\pi\) | |||||||
\(98\) | 6.95185 | 0.702243 | ||||||||
\(99\) | 0.0852371 | + | 0.191666i | 0.00856665 | + | 0.0192631i | ||||
\(100\) | 3.98492 | 0.398492 | ||||||||
\(101\) | 1.94336 | + | 1.41193i | 0.193372 | + | 0.140493i | 0.680258 | − | 0.732972i | \(-0.261868\pi\) |
−0.486887 | + | 0.873465i | \(0.661868\pi\) | |||||||
\(102\) | −1.63920 | + | 5.04495i | −0.162305 | + | 0.499524i | ||||
\(103\) | −2.43717 | − | 7.50085i | −0.240142 | − | 0.739081i | −0.996398 | − | 0.0848046i | \(-0.972973\pi\) |
0.756256 | − | 0.654276i | \(-0.227027\pi\) | |||||||
\(104\) | −1.17773 | + | 0.855668i | −0.115486 | + | 0.0839052i | ||||
\(105\) | 0.931303 | − | 0.676631i | 0.0908859 | − | 0.0660324i | ||||
\(106\) | −0.462150 | − | 1.42235i | −0.0448880 | − | 0.138151i | ||||
\(107\) | 0.996913 | − | 3.06818i | 0.0963752 | − | 0.296612i | −0.891234 | − | 0.453543i | \(-0.850160\pi\) |
0.987610 | + | 0.156931i | \(0.0501599\pi\) | |||||||
\(108\) | 4.15830 | + | 3.02118i | 0.400133 | + | 0.290714i | ||||
\(109\) | 18.6233 | 1.78379 | 0.891896 | − | 0.452241i | \(-0.149375\pi\) | ||||
0.891896 | + | 0.452241i | \(0.149375\pi\) | |||||||
\(110\) | −8.60750 | − | 4.97444i | −0.820693 | − | 0.474294i | ||||
\(111\) | 1.83620 | 0.174284 | ||||||||
\(112\) | −0.177518 | − | 0.128975i | −0.0167739 | − | 0.0121869i | ||||
\(113\) | 5.32725 | − | 16.3956i | 0.501145 | − | 1.54237i | −0.306011 | − | 0.952028i | \(-0.598994\pi\) |
0.807156 | − | 0.590338i | \(-0.201006\pi\) | |||||||
\(114\) | −0.540846 | − | 1.66455i | −0.0506548 | − | 0.155900i | ||||
\(115\) | −3.86595 | + | 2.80878i | −0.360502 | + | 0.261920i | ||||
\(116\) | −2.85918 | + | 2.07732i | −0.265468 | + | 0.192874i | ||||
\(117\) | −0.0284515 | − | 0.0875646i | −0.00263034 | − | 0.00809535i | ||||
\(118\) | 0.0621808 | − | 0.191373i | 0.00572420 | − | 0.0176173i | ||||
\(119\) | −0.538025 | − | 0.390898i | −0.0493206 | − | 0.0358335i | ||||
\(120\) | 5.24624 | 0.478914 | ||||||||
\(121\) | 5.49187 | + | 9.53097i | 0.499261 | + | 0.866452i | ||||
\(122\) | −11.3010 | −1.02314 | ||||||||
\(123\) | 8.12255 | + | 5.90138i | 0.732386 | + | 0.532109i | ||||
\(124\) | 0.986664 | − | 3.03664i | 0.0886050 | − | 0.272698i | ||||
\(125\) | 0.940242 | + | 2.89377i | 0.0840978 | + | 0.258826i | ||||
\(126\) | 0.0112274 | − | 0.00815717i | 0.00100021 | − | 0.000726699i | ||||
\(127\) | −4.40557 | + | 3.20083i | −0.390931 | + | 0.284028i | −0.765837 | − | 0.643035i | \(-0.777675\pi\) |
0.374906 | + | 0.927063i | \(0.377675\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | 3.06876 | − | 9.44468i | 0.270189 | − | 0.831558i | ||||
\(130\) | 3.53022 | + | 2.56485i | 0.309621 | + | 0.224953i | ||||
\(131\) | −17.5416 | −1.53261 | −0.766307 | − | 0.642475i | \(-0.777908\pi\) | ||||
−0.766307 | + | 0.642475i | \(0.777908\pi\) | |||||||
\(132\) | −5.02587 | − | 2.90455i | −0.437445 | − | 0.252808i | ||||
\(133\) | 0.219425 | 0.0190265 | ||||||||
\(134\) | −4.75564 | − | 3.45518i | −0.410825 | − | 0.298482i | ||||
\(135\) | 4.76100 | − | 14.6528i | 0.409761 | − | 1.26112i | ||||
\(136\) | −0.936573 | − | 2.88248i | −0.0803105 | − | 0.247170i | ||||
\(137\) | −9.89559 | + | 7.18957i | −0.845437 | + | 0.614246i | −0.923884 | − | 0.382672i | \(-0.875004\pi\) |
0.0784470 | + | 0.996918i | \(0.475004\pi\) | |||||||
\(138\) | −2.25731 | + | 1.64003i | −0.192155 | + | 0.139608i | ||||
\(139\) | 3.56764 | + | 10.9801i | 0.302603 | + | 0.931316i | 0.980561 | + | 0.196216i | \(0.0628652\pi\) |
−0.677958 | + | 0.735101i | \(0.737135\pi\) | |||||||
\(140\) | −0.203247 | + | 0.625531i | −0.0171775 | + | 0.0528670i | ||||
\(141\) | 9.80338 | + | 7.12257i | 0.825594 | + | 0.599829i | ||||
\(142\) | −3.42551 | −0.287462 | ||||||||
\(143\) | −1.96191 | − | 4.41160i | −0.164063 | − | 0.368916i | ||||
\(144\) | 0.0632464 | 0.00527053 | ||||||||
\(145\) | 8.57036 | + | 6.22673i | 0.711730 | + | 0.517102i | ||||
\(146\) | −2.83389 | + | 8.72182i | −0.234535 | + | 0.721823i | ||||
\(147\) | −3.75988 | − | 11.5717i | −0.310110 | − | 0.954419i | ||||
\(148\) | −0.848762 | + | 0.616661i | −0.0697678 | + | 0.0506893i | ||||
\(149\) | 8.82362 | − | 6.41074i | 0.722859 | − | 0.525188i | −0.164437 | − | 0.986388i | \(-0.552581\pi\) |
0.887296 | + | 0.461200i | \(0.152581\pi\) | |||||||
\(150\) | −2.15523 | − | 6.63311i | −0.175974 | − | 0.541591i | ||||
\(151\) | 5.14721 | − | 15.8415i | 0.418874 | − | 1.28916i | −0.489865 | − | 0.871798i | \(-0.662954\pi\) |
0.908739 | − | 0.417364i | \(-0.137046\pi\) | |||||||
\(152\) | 0.809017 | + | 0.587785i | 0.0656199 | + | 0.0476757i | ||||
\(153\) | 0.191688 | 0.0154971 | ||||||||
\(154\) | 0.541031 | − | 0.486728i | 0.0435975 | − | 0.0392217i | ||||
\(155\) | −9.57071 | −0.768738 | ||||||||
\(156\) | 2.06127 | + | 1.49760i | 0.165034 | + | 0.119904i | ||||
\(157\) | 6.81490 | − | 20.9741i | 0.543888 | − | 1.67392i | −0.179731 | − | 0.983716i | \(-0.557523\pi\) |
0.723619 | − | 0.690200i | \(-0.242477\pi\) | |||||||
\(158\) | −1.60388 | − | 4.93625i | −0.127598 | − | 0.392707i | ||||
\(159\) | −2.11763 | + | 1.53855i | −0.167939 | + | 0.122015i | ||||
\(160\) | −2.42502 | + | 1.76188i | −0.191714 | + | 0.139289i | ||||
\(161\) | −0.108096 | − | 0.332685i | −0.00851915 | − | 0.0262193i | ||||
\(162\) | 2.83855 | − | 8.73616i | 0.223018 | − | 0.686377i | ||||
\(163\) | 14.3702 | + | 10.4405i | 1.12556 | + | 0.817766i | 0.985042 | − | 0.172312i | \(-0.0551238\pi\) |
0.140516 | + | 0.990078i | \(0.455124\pi\) | |||||||
\(164\) | −5.73646 | −0.447942 | ||||||||
\(165\) | −3.62489 | + | 17.0180i | −0.282197 | + | 1.32485i | ||||
\(166\) | −5.16907 | −0.401198 | ||||||||
\(167\) | −15.6347 | − | 11.3593i | −1.20985 | − | 0.879006i | −0.214632 | − | 0.976695i | \(-0.568855\pi\) |
−0.995217 | + | 0.0976887i | \(0.968855\pi\) | |||||||
\(168\) | −0.118675 | + | 0.365244i | −0.00915596 | + | 0.0281792i | ||||
\(169\) | −3.36235 | − | 10.3482i | −0.258642 | − | 0.796019i | ||||
\(170\) | −7.34978 | + | 5.33993i | −0.563702 | + | 0.409554i | ||||
\(171\) | −0.0511674 | + | 0.0371753i | −0.00391287 | + | 0.00284287i | ||||
\(172\) | 1.75337 | + | 5.39630i | 0.133693 | + | 0.411464i | ||||
\(173\) | −2.79424 | + | 8.59979i | −0.212442 | + | 0.653830i | 0.786883 | + | 0.617102i | \(0.211694\pi\) |
−0.999325 | + | 0.0367280i | \(0.988306\pi\) | |||||||
\(174\) | 5.00418 | + | 3.63575i | 0.379366 | + | 0.275625i | ||||
\(175\) | 0.874389 | 0.0660976 | ||||||||
\(176\) | 3.29860 | − | 0.345274i | 0.248642 | − | 0.0260260i | ||||
\(177\) | −0.352180 | −0.0264715 | ||||||||
\(178\) | −5.11319 | − | 3.71495i | −0.383249 | − | 0.278447i | ||||
\(179\) | 6.18932 | − | 19.0488i | 0.462611 | − | 1.42377i | −0.399350 | − | 0.916798i | \(-0.630764\pi\) |
0.861962 | − | 0.506973i | \(-0.169236\pi\) | |||||||
\(180\) | −0.0585835 | − | 0.180301i | −0.00436655 | − | 0.0134389i | ||||
\(181\) | −6.56097 | + | 4.76682i | −0.487673 | + | 0.354315i | −0.804289 | − | 0.594239i | \(-0.797453\pi\) |
0.316616 | + | 0.948554i | \(0.397453\pi\) | |||||||
\(182\) | −0.258422 | + | 0.187755i | −0.0191555 | + | 0.0139173i | ||||
\(183\) | 6.11210 | + | 18.8111i | 0.451819 | + | 1.39056i | ||||
\(184\) | 0.492634 | − | 1.51617i | 0.0363174 | − | 0.111774i | ||||
\(185\) | 2.54415 | + | 1.84843i | 0.187050 | + | 0.135900i | ||||
\(186\) | −5.58828 | −0.409752 | ||||||||
\(187\) | 9.99746 | − | 1.04646i | 0.731086 | − | 0.0765249i | ||||
\(188\) | −6.92353 | −0.504950 | ||||||||
\(189\) | 0.912434 | + | 0.662922i | 0.0663698 | + | 0.0482205i | ||||
\(190\) | 0.926274 | − | 2.85078i | 0.0671990 | − | 0.206817i | ||||
\(191\) | 5.09818 | + | 15.6906i | 0.368891 | + | 1.13533i | 0.947508 | + | 0.319731i | \(0.103592\pi\) |
−0.578617 | + | 0.815599i | \(0.696408\pi\) | |||||||
\(192\) | −1.41595 | + | 1.02875i | −0.102188 | + | 0.0742436i | ||||
\(193\) | −14.5637 | + | 10.5811i | −1.04832 | + | 0.761646i | −0.971891 | − | 0.235430i | \(-0.924350\pi\) |
−0.0764240 | + | 0.997075i | \(0.524350\pi\) | |||||||
\(194\) | −1.30554 | − | 4.01804i | −0.0937324 | − | 0.288479i | ||||
\(195\) | 2.36003 | − | 7.26342i | 0.169005 | − | 0.520144i | ||||
\(196\) | 5.62417 | + | 4.08620i | 0.401726 | + | 0.291871i | ||||
\(197\) | 12.4047 | 0.883799 | 0.441899 | − | 0.897065i | \(-0.354305\pi\) | ||||
0.441899 | + | 0.897065i | \(0.354305\pi\) | |||||||
\(198\) | −0.0437000 | + | 0.205162i | −0.00310563 | + | 0.0145802i | ||||
\(199\) | 22.3028 | 1.58100 | 0.790502 | − | 0.612460i | \(-0.209820\pi\) | ||||
0.790502 | + | 0.612460i | \(0.209820\pi\) | |||||||
\(200\) | 3.22387 | + | 2.34228i | 0.227962 | + | 0.165624i | ||||
\(201\) | −3.17925 | + | 9.78473i | −0.224247 | + | 0.690161i | ||||
\(202\) | 0.742298 | + | 2.28456i | 0.0522279 | + | 0.160741i | ||||
\(203\) | −0.627375 | + | 0.455815i | −0.0440331 | + | 0.0319919i | ||||
\(204\) | −4.29149 | + | 3.11795i | −0.300464 | + | 0.218300i | ||||
\(205\) | 5.31353 | + | 16.3534i | 0.371113 | + | 1.14217i | ||||
\(206\) | 2.43717 | − | 7.50085i | 0.169806 | − | 0.522609i | ||||
\(207\) | 0.0815709 | + | 0.0592647i | 0.00566957 | + | 0.00411918i | ||||
\(208\) | −1.45575 | −0.100938 | ||||||||
\(209\) | −2.46568 | + | 2.21820i | −0.170555 | + | 0.153436i | ||||
\(210\) | 1.15115 | 0.0794372 | ||||||||
\(211\) | 16.9867 | + | 12.3416i | 1.16941 | + | 0.849628i | 0.990938 | − | 0.134317i | \(-0.0428840\pi\) |
0.178474 | + | 0.983945i | \(0.442884\pi\) | |||||||
\(212\) | 0.462150 | − | 1.42235i | 0.0317406 | − | 0.0976875i | ||||
\(213\) | 1.85267 | + | 5.70193i | 0.126943 | + | 0.390690i | ||||
\(214\) | 2.60995 | − | 1.89624i | 0.178413 | − | 0.129624i | ||||
\(215\) | 13.7596 | − | 9.99691i | 0.938395 | − | 0.681784i | ||||
\(216\) | 1.58833 | + | 4.88838i | 0.108072 | + | 0.332612i | ||||
\(217\) | 0.216498 | − | 0.666313i | 0.0146969 | − | 0.0452323i | ||||
\(218\) | 15.0666 | + | 10.9465i | 1.02044 | + | 0.741392i | ||||
\(219\) | 16.0506 | 1.08460 | ||||||||
\(220\) | −4.03971 | − | 9.08377i | −0.272357 | − | 0.612428i | ||||
\(221\) | −4.41211 | −0.296790 | ||||||||
\(222\) | 1.48551 | + | 1.07929i | 0.0997012 | + | 0.0724371i | ||||
\(223\) | 7.24940 | − | 22.3114i | 0.485456 | − | 1.49408i | −0.345864 | − | 0.938285i | \(-0.612414\pi\) |
0.831320 | − | 0.555795i | \(-0.187586\pi\) | |||||||
\(224\) | −0.0678059 | − | 0.208685i | −0.00453047 | − | 0.0139434i | ||||
\(225\) | −0.203898 | + | 0.148141i | −0.0135932 | + | 0.00987604i | ||||
\(226\) | 13.9469 | − | 10.1330i | 0.927735 | − | 0.674039i | ||||
\(227\) | −4.95867 | − | 15.2612i | −0.329119 | − | 1.01292i | −0.969547 | − | 0.244905i | \(-0.921243\pi\) |
0.640428 | − | 0.768018i | \(-0.278757\pi\) | |||||||
\(228\) | 0.540846 | − | 1.66455i | 0.0358184 | − | 0.110238i | ||||
\(229\) | 20.3598 | + | 14.7923i | 1.34542 | + | 0.977501i | 0.999226 | + | 0.0393367i | \(0.0125245\pi\) |
0.346189 | + | 0.938165i | \(0.387476\pi\) | |||||||
\(230\) | −4.77858 | −0.315090 | ||||||||
\(231\) | −1.10280 | − | 0.637329i | −0.0725588 | − | 0.0419331i | ||||
\(232\) | −3.53414 | −0.232028 | ||||||||
\(233\) | −14.8887 | − | 10.8173i | −0.975389 | − | 0.708662i | −0.0187157 | − | 0.999825i | \(-0.505958\pi\) |
−0.956673 | + | 0.291163i | \(0.905958\pi\) | |||||||
\(234\) | 0.0284515 | − | 0.0875646i | 0.00185993 | − | 0.00572428i | ||||
\(235\) | 6.41308 | + | 19.7374i | 0.418343 | + | 1.28753i | ||||
\(236\) | 0.162791 | − | 0.118275i | 0.0105968 | − | 0.00769904i | ||||
\(237\) | −7.34919 | + | 5.33950i | −0.477381 | + | 0.346838i | ||||
\(238\) | −0.205507 | − | 0.632486i | −0.0133211 | − | 0.0409980i | ||||
\(239\) | 1.77504 | − | 5.46302i | 0.114818 | − | 0.353373i | −0.877091 | − | 0.480324i | \(-0.840519\pi\) |
0.991909 | + | 0.126951i | \(0.0405191\pi\) | |||||||
\(240\) | 4.24430 | + | 3.08366i | 0.273968 | + | 0.199050i | ||||
\(241\) | 15.2741 | 0.983889 | 0.491945 | − | 0.870626i | \(-0.336286\pi\) | ||||
0.491945 | + | 0.870626i | \(0.336286\pi\) | |||||||
\(242\) | −1.15915 | + | 10.9388i | −0.0745129 | + | 0.703170i | ||||
\(243\) | −0.657167 | −0.0421573 | ||||||||
\(244\) | −9.14270 | − | 6.64256i | −0.585301 | − | 0.425246i | ||||
\(245\) | 6.43932 | − | 19.8182i | 0.411393 | − | 1.26614i | ||||
\(246\) | 3.10254 | + | 9.54863i | 0.197811 | + | 0.608799i | ||||
\(247\) | 1.17773 | − | 0.855668i | 0.0749369 | − | 0.0544449i | ||||
\(248\) | 2.58312 | − | 1.87675i | 0.164028 | − | 0.119174i | ||||
\(249\) | 2.79567 | + | 8.60418i | 0.177168 | + | 0.545268i | ||||
\(250\) | −0.940242 | + | 2.89377i | −0.0594661 | + | 0.183018i | ||||
\(251\) | −14.7199 | − | 10.6946i | −0.929109 | − | 0.675037i | 0.0166656 | − | 0.999861i | \(-0.494695\pi\) |
−0.945774 | + | 0.324824i | \(0.894695\pi\) | |||||||
\(252\) | 0.0138778 | 0.000874220 | ||||||||
\(253\) | 4.57785 | + | 2.64563i | 0.287807 | + | 0.166329i | ||||
\(254\) | −5.44558 | −0.341686 | ||||||||
\(255\) | 12.8637 | + | 9.34601i | 0.805555 | + | 0.585270i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −6.44755 | − | 19.8435i | −0.402187 | − | 1.23781i | −0.923221 | − | 0.384269i | \(-0.874453\pi\) |
0.521034 | − | 0.853536i | \(-0.325547\pi\) | |||||||
\(258\) | 8.03413 | − | 5.83713i | 0.500183 | − | 0.363404i | ||||
\(259\) | −0.186239 | + | 0.135311i | −0.0115723 | + | 0.00840780i | ||||
\(260\) | 1.34842 | + | 4.15002i | 0.0836257 | + | 0.257373i | ||||
\(261\) | 0.0690720 | − | 0.212582i | 0.00427545 | − | 0.0131585i | ||||
\(262\) | −14.1914 | − | 10.3107i | −0.876749 | − | 0.636995i | ||||
\(263\) | 0.446416 | 0.0275272 | 0.0137636 | − | 0.999905i | \(-0.495619\pi\) | ||||
0.0137636 | + | 0.999905i | \(0.495619\pi\) | |||||||
\(264\) | −2.35876 | − | 5.30396i | −0.145172 | − | 0.326436i | ||||
\(265\) | −4.48289 | −0.275382 | ||||||||
\(266\) | 0.177518 | + | 0.128975i | 0.0108843 | + | 0.00790794i | ||||
\(267\) | −3.41828 | + | 10.5204i | −0.209195 | + | 0.643836i | ||||
\(268\) | −1.81649 | − | 5.59059i | −0.110960 | − | 0.341500i | ||||
\(269\) | −4.94104 | + | 3.58988i | −0.301261 | + | 0.218879i | −0.728138 | − | 0.685431i | \(-0.759614\pi\) |
0.426877 | + | 0.904310i | \(0.359614\pi\) | |||||||
\(270\) | 12.4645 | − | 9.05596i | 0.758562 | − | 0.551128i | ||||
\(271\) | 1.84693 | + | 5.68428i | 0.112193 | + | 0.345295i | 0.991351 | − | 0.131235i | \(-0.0418943\pi\) |
−0.879158 | + | 0.476530i | \(0.841894\pi\) | |||||||
\(272\) | 0.936573 | − | 2.88248i | 0.0567881 | − | 0.174776i | ||||
\(273\) | 0.452294 | + | 0.328611i | 0.0273741 | + | 0.0198884i | ||||
\(274\) | −12.2316 | −0.738939 | ||||||||
\(275\) | −9.82554 | + | 8.83936i | −0.592502 | + | 0.533034i | ||||
\(276\) | −2.79018 | −0.167949 | ||||||||
\(277\) | −12.2503 | − | 8.90037i | −0.736050 | − | 0.534771i | 0.155422 | − | 0.987848i | \(-0.450326\pi\) |
−0.891471 | + | 0.453077i | \(0.850326\pi\) | |||||||
\(278\) | −3.56764 | + | 10.9801i | −0.213973 | + | 0.658540i | ||||
\(279\) | 0.0624029 | + | 0.192056i | 0.00373596 | + | 0.0114981i | ||||
\(280\) | −0.532108 | + | 0.386599i | −0.0317996 | + | 0.0231037i | ||||
\(281\) | 14.2585 | − | 10.3594i | 0.850592 | − | 0.617991i | −0.0747174 | − | 0.997205i | \(-0.523805\pi\) |
0.925309 | + | 0.379214i | \(0.123805\pi\) | |||||||
\(282\) | 3.74456 | + | 11.5246i | 0.222985 | + | 0.686278i | ||||
\(283\) | 8.97231 | − | 27.6139i | 0.533348 | − | 1.64148i | −0.213842 | − | 0.976868i | \(-0.568598\pi\) |
0.747191 | − | 0.664610i | \(-0.231402\pi\) | |||||||
\(284\) | −2.77129 | − | 2.01346i | −0.164446 | − | 0.119477i | ||||
\(285\) | −5.24624 | −0.310760 | ||||||||
\(286\) | 1.00585 | − | 4.72224i | 0.0594771 | − | 0.279232i | ||||
\(287\) | −1.25872 | −0.0742999 | ||||||||
\(288\) | 0.0511674 | + | 0.0371753i | 0.00301507 | + | 0.00219057i | ||||
\(289\) | −2.41471 | + | 7.43171i | −0.142042 | + | 0.437159i | ||||
\(290\) | 3.27359 | + | 10.0751i | 0.192232 | + | 0.591628i | ||||
\(291\) | −5.98215 | + | 4.34628i | −0.350680 | + | 0.254784i | ||||
\(292\) | −7.41922 | + | 5.39038i | −0.434177 | + | 0.315448i | ||||
\(293\) | −5.62139 | − | 17.3009i | −0.328405 | − | 1.01073i | −0.969880 | − | 0.243583i | \(-0.921677\pi\) |
0.641475 | − | 0.767144i | \(-0.278323\pi\) | |||||||
\(294\) | 3.75988 | − | 11.5717i | 0.219281 | − | 0.674876i | ||||
\(295\) | −0.487965 | − | 0.354527i | −0.0284104 | − | 0.0206414i | ||||
\(296\) | −1.04913 | −0.0609793 | ||||||||
\(297\) | −16.9546 | + | 1.77469i | −0.983808 | + | 0.102978i | ||||
\(298\) | 10.9066 | 0.631802 | ||||||||
\(299\) | −1.87753 | − | 1.36410i | −0.108580 | − | 0.0788881i | ||||
\(300\) | 2.15523 | − | 6.63311i | 0.124432 | − | 0.382963i | ||||
\(301\) | 0.384731 | + | 1.18408i | 0.0221755 | + | 0.0682493i | ||||
\(302\) | 13.4756 | − | 9.79058i | 0.775432 | − | 0.563385i | ||||
\(303\) | 3.40130 | − | 2.47119i | 0.195399 | − | 0.141966i | ||||
\(304\) | 0.309017 | + | 0.951057i | 0.0177233 | + | 0.0545468i | ||||
\(305\) | −10.4678 | + | 32.2166i | −0.599386 | + | 1.84472i | ||||
\(306\) | 0.155079 | + | 0.112671i | 0.00886527 | + | 0.00644100i | ||||
\(307\) | −21.0281 | −1.20014 | −0.600068 | − | 0.799949i | \(-0.704860\pi\) | ||||
−0.600068 | + | 0.799949i | \(0.704860\pi\) | |||||||
\(308\) | 0.723795 | − | 0.0757616i | 0.0412420 | − | 0.00431692i | ||||
\(309\) | −13.8037 | −0.785264 | ||||||||
\(310\) | −7.74286 | − | 5.62552i | −0.439765 | − | 0.319508i | ||||
\(311\) | 5.56241 | − | 17.1193i | 0.315415 | − | 0.970748i | −0.660168 | − | 0.751118i | \(-0.729515\pi\) |
0.975583 | − | 0.219630i | \(-0.0704850\pi\) | |||||||
\(312\) | 0.787336 | + | 2.42317i | 0.0445741 | + | 0.137185i | ||||
\(313\) | 0.185227 | − | 0.134575i | 0.0104696 | − | 0.00760665i | −0.582538 | − | 0.812803i | \(-0.697940\pi\) |
0.593008 | + | 0.805197i | \(0.297940\pi\) | |||||||
\(314\) | 17.8416 | − | 12.9627i | 1.00686 | − | 0.731528i | ||||
\(315\) | −0.0128547 | − | 0.0395626i | −0.000724278 | − | 0.00222910i | ||||
\(316\) | 1.60388 | − | 4.93625i | 0.0902256 | − | 0.277686i | ||||
\(317\) | 12.1522 | + | 8.82910i | 0.682536 | + | 0.495891i | 0.874198 | − | 0.485570i | \(-0.161388\pi\) |
−0.191662 | + | 0.981461i | \(0.561388\pi\) | |||||||
\(318\) | −2.61753 | −0.146784 | ||||||||
\(319\) | 2.44191 | − | 11.4642i | 0.136721 | − | 0.641875i | ||||
\(320\) | −2.99749 | −0.167565 | ||||||||
\(321\) | −4.56797 | − | 3.31883i | −0.254959 | − | 0.185239i | ||||
\(322\) | 0.108096 | − | 0.332685i | 0.00602395 | − | 0.0185398i | ||||
\(323\) | 0.936573 | + | 2.88248i | 0.0521123 | + | 0.160385i | ||||
\(324\) | 7.43142 | − | 5.39924i | 0.412857 | − | 0.299958i | ||||
\(325\) | 4.69315 | − | 3.40977i | 0.260329 | − | 0.189140i | ||||
\(326\) | 5.48892 | + | 16.8931i | 0.304003 | + | 0.935625i | ||||
\(327\) | 10.0723 | − | 30.9995i | 0.557002 | − | 1.71428i | ||||
\(328\) | −4.64089 | − | 3.37181i | −0.256250 | − | 0.186177i | ||||
\(329\) | −1.51919 | −0.0837557 | ||||||||
\(330\) | −12.9355 | + | 11.6372i | −0.712078 | + | 0.640608i | ||||
\(331\) | −16.0202 | −0.880549 | −0.440274 | − | 0.897863i | \(-0.645119\pi\) | ||||
−0.440274 | + | 0.897863i | \(0.645119\pi\) | |||||||
\(332\) | −4.18186 | − | 3.03830i | −0.229510 | − | 0.166749i | ||||
\(333\) | 0.0205044 | − | 0.0631059i | 0.00112363 | − | 0.00345818i | ||||
\(334\) | −5.97192 | − | 18.3797i | −0.326769 | − | 1.00569i | ||||
\(335\) | −14.2550 | + | 10.3568i | −0.778832 | + | 0.565855i | ||||
\(336\) | −0.310695 | + | 0.225733i | −0.0169498 | + | 0.0123147i | ||||
\(337\) | −8.25977 | − | 25.4210i | −0.449938 | − | 1.38477i | −0.876976 | − | 0.480534i | \(-0.840443\pi\) |
0.427038 | − | 0.904234i | \(-0.359557\pi\) | |||||||
\(338\) | 3.36235 | − | 10.3482i | 0.182888 | − | 0.562871i | ||||
\(339\) | −24.4101 | − | 17.7350i | −1.32577 | − | 0.963231i | ||||
\(340\) | −9.08482 | −0.492694 | ||||||||
\(341\) | 4.30309 | + | 9.67600i | 0.233025 | + | 0.523985i | ||||
\(342\) | −0.0632464 | −0.00341997 | ||||||||
\(343\) | 2.47671 | + | 1.79943i | 0.133730 | + | 0.0971603i | ||||
\(344\) | −1.75337 | + | 5.39630i | −0.0945351 | + | 0.290949i | ||||
\(345\) | 2.58447 | + | 7.95419i | 0.139143 | + | 0.428239i | ||||
\(346\) | −7.31542 | + | 5.31497i | −0.393280 | + | 0.285734i | ||||
\(347\) | −7.23210 | + | 5.25443i | −0.388239 | + | 0.282072i | −0.764734 | − | 0.644346i | \(-0.777129\pi\) |
0.376494 | + | 0.926419i | \(0.377129\pi\) | |||||||
\(348\) | 1.91143 | + | 5.88277i | 0.102463 | + | 0.315349i | ||||
\(349\) | −4.13638 | + | 12.7305i | −0.221415 | + | 0.681446i | 0.777221 | + | 0.629228i | \(0.216629\pi\) |
−0.998636 | + | 0.0522176i | \(0.983371\pi\) | |||||||
\(350\) | 0.707396 | + | 0.513953i | 0.0378119 | + | 0.0274720i | ||||
\(351\) | 7.48247 | 0.399385 | ||||||||
\(352\) | 2.87157 | + | 1.65954i | 0.153055 | + | 0.0884537i | ||||
\(353\) | −18.5323 | −0.986375 | −0.493188 | − | 0.869923i | \(-0.664168\pi\) | ||||
−0.493188 | + | 0.869923i | \(0.664168\pi\) | |||||||
\(354\) | −0.284920 | − | 0.207006i | −0.0151433 | − | 0.0110023i | ||||
\(355\) | −3.17296 | + | 9.76536i | −0.168403 | + | 0.518292i | ||||
\(356\) | −1.95306 | − | 6.01091i | −0.103512 | − | 0.318578i | ||||
\(357\) | −0.941658 | + | 0.684155i | −0.0498378 | + | 0.0362093i | ||||
\(358\) | 16.2038 | − | 11.7728i | 0.856400 | − | 0.622211i | ||||
\(359\) | −1.24924 | − | 3.84476i | −0.0659323 | − | 0.202919i | 0.912663 | − | 0.408713i | \(-0.134022\pi\) |
−0.978595 | + | 0.205794i | \(0.934022\pi\) | |||||||
\(360\) | 0.0585835 | − | 0.180301i | 0.00308762 | − | 0.00950272i | ||||
\(361\) | −0.809017 | − | 0.587785i | −0.0425798 | − | 0.0309361i | ||||
\(362\) | −8.10980 | −0.426242 | ||||||||
\(363\) | 18.8350 | − | 3.98672i | 0.988583 | − | 0.209248i | ||||
\(364\) | −0.319427 | −0.0167425 | ||||||||
\(365\) | 22.2390 | + | 16.1576i | 1.16404 | + | 0.845727i | ||||
\(366\) | −6.11210 | + | 18.8111i | −0.319484 | + | 0.983272i | ||||
\(367\) | 6.12685 | + | 18.8565i | 0.319819 | + | 0.984302i | 0.973725 | + | 0.227726i | \(0.0731291\pi\) |
−0.653906 | + | 0.756576i | \(0.726871\pi\) | |||||||
\(368\) | 1.28973 | − | 0.937045i | 0.0672319 | − | 0.0488468i | ||||
\(369\) | 0.293520 | − | 0.213254i | 0.0152800 | − | 0.0111016i | ||||
\(370\) | 0.971779 | + | 2.99083i | 0.0505204 | + | 0.155486i | ||||
\(371\) | 0.101407 | − | 0.312099i | 0.00526479 | − | 0.0162034i | ||||
\(372\) | −4.52101 | − | 3.28471i | −0.234403 | − | 0.170304i | ||||
\(373\) | 0.375806 | 0.0194585 | 0.00972924 | − | 0.999953i | \(-0.496903\pi\) | ||||
0.00972924 | + | 0.999953i | \(0.496903\pi\) | |||||||
\(374\) | 8.70321 | + | 5.02975i | 0.450032 | + | 0.260082i | ||||
\(375\) | 5.32535 | 0.275000 | ||||||||
\(376\) | −5.60125 | − | 4.06955i | −0.288862 | − | 0.209871i | ||||
\(377\) | −1.58984 | + | 4.89302i | −0.0818809 | + | 0.252004i | ||||
\(378\) | 0.348519 | + | 1.07263i | 0.0179259 | + | 0.0551701i | ||||
\(379\) | −20.7352 | + | 15.0650i | −1.06510 | + | 0.773838i | −0.975025 | − | 0.222097i | \(-0.928710\pi\) |
−0.0900724 | + | 0.995935i | \(0.528710\pi\) | |||||||
\(380\) | 2.42502 | − | 1.76188i | 0.124401 | − | 0.0903824i | ||||
\(381\) | 2.94522 | + | 9.06445i | 0.150888 | + | 0.464386i | ||||
\(382\) | −5.09818 | + | 15.6906i | −0.260845 | + | 0.802799i | ||||
\(383\) | 22.1779 | + | 16.1132i | 1.13324 | + | 0.823346i | 0.986163 | − | 0.165779i | \(-0.0530138\pi\) |
0.147076 | + | 0.989125i | \(0.453014\pi\) | |||||||
\(384\) | −1.75021 | −0.0893152 | ||||||||
\(385\) | −0.886412 | − | 1.99320i | −0.0451757 | − | 0.101583i | ||||
\(386\) | −18.0017 | −0.916261 | ||||||||
\(387\) | −0.290324 | − | 0.210933i | −0.0147580 | − | 0.0107223i | ||||
\(388\) | 1.30554 | − | 4.01804i | 0.0662788 | − | 0.203985i | ||||
\(389\) | −3.58817 | − | 11.0433i | −0.181928 | − | 0.559916i | 0.817954 | − | 0.575283i | \(-0.195108\pi\) |
−0.999882 | + | 0.0153674i | \(0.995108\pi\) | |||||||
\(390\) | 6.17863 | − | 4.48904i | 0.312867 | − | 0.227311i | ||||
\(391\) | 3.90894 | − | 2.84001i | 0.197683 | − | 0.143625i | ||||
\(392\) | 2.14824 | + | 6.61160i | 0.108503 | + | 0.333936i | ||||
\(393\) | −9.48728 | + | 29.1988i | −0.478570 | + | 1.47289i | ||||
\(394\) | 10.0356 | + | 7.29130i | 0.505587 | + | 0.367331i | ||||
\(395\) | −15.5578 | −0.782797 | ||||||||
\(396\) | −0.155945 | + | 0.140293i | −0.00783655 | + | 0.00705000i | ||||
\(397\) | 12.8213 | 0.643481 | 0.321741 | − | 0.946828i | \(-0.395732\pi\) | ||||
0.321741 | + | 0.946828i | \(0.395732\pi\) | |||||||
\(398\) | 18.0433 | + | 13.1093i | 0.904431 | + | 0.657107i | ||||
\(399\) | 0.118675 | − | 0.365244i | 0.00594117 | − | 0.0182850i | ||||
\(400\) | 1.23141 | + | 3.78988i | 0.0615704 | + | 0.189494i | ||||
\(401\) | −16.2994 | + | 11.8422i | −0.813955 | + | 0.591373i | −0.914975 | − | 0.403511i | \(-0.867790\pi\) |
0.101019 | + | 0.994884i | \(0.467790\pi\) | |||||||
\(402\) | −8.32339 | + | 6.04729i | −0.415133 | + | 0.301612i | ||||
\(403\) | −1.43634 | − | 4.42059i | −0.0715490 | − | 0.220205i | ||||
\(404\) | −0.742298 | + | 2.28456i | −0.0369307 | + | 0.113661i | ||||
\(405\) | −22.2756 | − | 16.1842i | −1.10688 | − | 0.804197i | ||||
\(406\) | −0.775478 | −0.0384863 | ||||||||
\(407\) | 0.724894 | − | 3.40322i | 0.0359316 | − | 0.168691i | ||||
\(408\) | −5.30457 | −0.262615 | ||||||||
\(409\) | −4.01623 | − | 2.91796i | −0.198590 | − | 0.144284i | 0.484046 | − | 0.875042i | \(-0.339167\pi\) |
−0.682636 | + | 0.730759i | \(0.739167\pi\) | |||||||
\(410\) | −5.31353 | + | 16.3534i | −0.262417 | + | 0.807635i | ||||
\(411\) | 6.61542 | + | 20.3602i | 0.326315 | + | 1.00429i | ||||
\(412\) | 6.38060 | − | 4.63578i | 0.314350 | − | 0.228388i | ||||
\(413\) | 0.0357204 | − | 0.0259524i | 0.00175769 | − | 0.00127703i | ||||
\(414\) | 0.0311573 | + | 0.0958923i | 0.00153130 | + | 0.00471285i | ||||
\(415\) | −4.78797 | + | 14.7359i | −0.235032 | + | 0.723355i | ||||
\(416\) | −1.17773 | − | 0.855668i | −0.0577428 | − | 0.0419526i | ||||
\(417\) | 20.2064 | 0.989513 | ||||||||
\(418\) | −3.29860 | + | 0.345274i | −0.161340 | + | 0.0168879i | ||||
\(419\) | −37.3432 | −1.82433 | −0.912167 | − | 0.409818i | \(-0.865592\pi\) | ||||
−0.912167 | + | 0.409818i | \(0.865592\pi\) | |||||||
\(420\) | 0.931303 | + | 0.676631i | 0.0454429 | + | 0.0330162i | ||||
\(421\) | 6.67781 | − | 20.5522i | 0.325457 | − | 1.00165i | −0.645778 | − | 0.763526i | \(-0.723467\pi\) |
0.971234 | − | 0.238127i | \(-0.0765334\pi\) | |||||||
\(422\) | 6.48834 | + | 19.9691i | 0.315847 | + | 0.972079i | ||||
\(423\) | 0.354259 | − | 0.257384i | 0.0172246 | − | 0.0125144i | ||||
\(424\) | 1.20992 | − | 0.879062i | 0.0587591 | − | 0.0426910i | ||||
\(425\) | 3.73217 | + | 11.4864i | 0.181037 | + | 0.557174i | ||||
\(426\) | −1.85267 | + | 5.70193i | −0.0897622 | + | 0.276260i | ||||
\(427\) | −2.00613 | − | 1.45754i | −0.0970836 | − | 0.0705354i | ||||
\(428\) | 3.22608 | 0.155938 | ||||||||
\(429\) | −8.40442 | + | 0.879715i | −0.405769 | + | 0.0424730i | ||||
\(430\) | 17.0078 | 0.820187 | ||||||||
\(431\) | −1.69339 | − | 1.23032i | −0.0815678 | − | 0.0592625i | 0.546254 | − | 0.837620i | \(-0.316053\pi\) |
−0.627822 | + | 0.778357i | \(0.716053\pi\) | |||||||
\(432\) | −1.58833 | + | 4.88838i | −0.0764186 | + | 0.235192i | ||||
\(433\) | 2.11269 | + | 6.50218i | 0.101529 | + | 0.312475i | 0.988900 | − | 0.148581i | \(-0.0474706\pi\) |
−0.887371 | + | 0.461056i | \(0.847471\pi\) | |||||||
\(434\) | 0.566800 | − | 0.411804i | 0.0272073 | − | 0.0197672i | ||||
\(435\) | 15.0000 | − | 10.8981i | 0.719193 | − | 0.522524i | ||||
\(436\) | 5.75492 | + | 17.7118i | 0.275611 | + | 0.848243i | ||||
\(437\) | −0.492634 | + | 1.51617i | −0.0235659 | + | 0.0725283i | ||||
\(438\) | 12.9852 | + | 9.43432i | 0.620458 | + | 0.450789i | ||||
\(439\) | −8.17083 | −0.389972 | −0.194986 | − | 0.980806i | \(-0.562466\pi\) | ||||
−0.194986 | + | 0.980806i | \(0.562466\pi\) | |||||||
\(440\) | 2.07111 | − | 9.72341i | 0.0987363 | − | 0.463545i | ||||
\(441\) | −0.439679 | −0.0209371 | ||||||||
\(442\) | −3.56947 | − | 2.59337i | −0.169782 | − | 0.123354i | ||||
\(443\) | −1.09010 | + | 3.35498i | −0.0517922 | + | 0.159400i | −0.973607 | − | 0.228230i | \(-0.926706\pi\) |
0.921815 | + | 0.387630i | \(0.126706\pi\) | |||||||
\(444\) | 0.567416 | + | 1.74633i | 0.0269284 | + | 0.0828770i | ||||
\(445\) | −15.3267 | + | 11.1355i | −0.726555 | + | 0.527873i | ||||
\(446\) | 18.9792 | − | 13.7892i | 0.898690 | − | 0.652937i | ||||
\(447\) | −5.89878 | − | 18.1546i | −0.279003 | − | 0.858683i | ||||
\(448\) | 0.0678059 | − | 0.208685i | 0.00320353 | − | 0.00985945i | ||||
\(449\) | 8.39921 | + | 6.10238i | 0.396383 | + | 0.287989i | 0.768066 | − | 0.640370i | \(-0.221219\pi\) |
−0.371683 | + | 0.928360i | \(0.621219\pi\) | |||||||
\(450\) | −0.252032 | −0.0118809 | ||||||||
\(451\) | 14.1443 | − | 12.7246i | 0.666028 | − | 0.599179i | ||||
\(452\) | 17.2393 | 0.810870 | ||||||||
\(453\) | −23.5851 | − | 17.1356i | −1.10813 | − | 0.805101i | ||||
\(454\) | 4.95867 | − | 15.2612i | 0.232722 | − | 0.716245i | ||||
\(455\) | 0.295877 | + | 0.910616i | 0.0138709 | + | 0.0426904i | ||||
\(456\) | 1.41595 | − | 1.02875i | 0.0663080 | − | 0.0481756i | ||||
\(457\) | 11.5069 | − | 8.36022i | 0.538268 | − | 0.391075i | −0.285173 | − | 0.958476i | \(-0.592051\pi\) |
0.823441 | + | 0.567401i | \(0.192051\pi\) | |||||||
\(458\) | 7.77676 | + | 23.9344i | 0.363384 | + | 1.11838i | ||||
\(459\) | −4.81393 | + | 14.8158i | −0.224695 | + | 0.691541i | ||||
\(460\) | −3.86595 | − | 2.80878i | −0.180251 | − | 0.130960i | ||||
\(461\) | −8.90046 | −0.414536 | −0.207268 | − | 0.978284i | \(-0.566457\pi\) | ||||
−0.207268 | + | 0.978284i | \(0.566457\pi\) | |||||||
\(462\) | −0.517570 | − | 1.16382i | −0.0240796 | − | 0.0541457i | ||||
\(463\) | −4.58762 | −0.213205 | −0.106602 | − | 0.994302i | \(-0.533997\pi\) | ||||
−0.106602 | + | 0.994302i | \(0.533997\pi\) | |||||||
\(464\) | −2.85918 | − | 2.07732i | −0.132734 | − | 0.0964371i | ||||
\(465\) | −5.17627 | + | 15.9309i | −0.240044 | + | 0.738779i | ||||
\(466\) | −5.68697 | − | 17.5027i | −0.263444 | − | 0.810796i | ||||
\(467\) | −9.63966 | + | 7.00363i | −0.446070 | + | 0.324089i | −0.788042 | − | 0.615621i | \(-0.788905\pi\) |
0.341972 | + | 0.939710i | \(0.388905\pi\) | |||||||
\(468\) | 0.0744869 | − | 0.0541179i | 0.00344316 | − | 0.00250160i | ||||
\(469\) | −0.398583 | − | 1.22671i | −0.0184049 | − | 0.0566443i | ||||
\(470\) | −6.41308 | + | 19.7374i | −0.295813 | + | 0.910420i | ||||
\(471\) | −31.2267 | − | 22.6875i | −1.43885 | − | 1.04538i | ||||
\(472\) | 0.201221 | 0.00926196 | ||||||||
\(473\) | −16.2933 | − | 9.41623i | −0.749168 | − | 0.432959i | ||||
\(474\) | −9.08410 | −0.417246 | ||||||||
\(475\) | −3.22387 | − | 2.34228i | −0.147921 | − | 0.107471i | ||||
\(476\) | 0.205507 | − | 0.632486i | 0.00941941 | − | 0.0289900i | ||||
\(477\) | 0.0292293 | + | 0.0899586i | 0.00133832 | + | 0.00411892i | ||||
\(478\) | 4.64712 | − | 3.37633i | 0.212554 | − | 0.154430i | ||||
\(479\) | 16.8066 | − | 12.2107i | 0.767915 | − | 0.557923i | −0.133413 | − | 0.991061i | \(-0.542594\pi\) |
0.901328 | + | 0.433138i | \(0.142594\pi\) | |||||||
\(480\) | 1.62118 | + | 4.98947i | 0.0739963 | + | 0.227737i | ||||
\(481\) | −0.471951 | + | 1.45252i | −0.0215191 | + | 0.0662291i | ||||
\(482\) | 12.3570 | + | 8.97787i | 0.562845 | + | 0.408931i | ||||
\(483\) | −0.612235 | −0.0278576 | ||||||||
\(484\) | −7.36741 | + | 8.16831i | −0.334882 | + | 0.371287i | ||||
\(485\) | −12.6638 | −0.575035 | ||||||||
\(486\) | −0.531659 | − | 0.386273i | −0.0241165 | − | 0.0175217i | ||||
\(487\) | 2.81501 | − | 8.66370i | 0.127560 | − | 0.392589i | −0.866799 | − | 0.498658i | \(-0.833826\pi\) |
0.994359 | + | 0.106069i | \(0.0338263\pi\) | |||||||
\(488\) | −3.49220 | − | 10.7479i | −0.158085 | − | 0.486534i | ||||
\(489\) | 25.1509 | − | 18.2732i | 1.13736 | − | 0.826341i | ||||
\(490\) | 16.8584 | − | 12.2483i | 0.761583 | − | 0.553323i | ||||
\(491\) | 4.33395 | + | 13.3385i | 0.195588 | + | 0.601959i | 0.999969 | + | 0.00784485i | \(0.00249712\pi\) |
−0.804381 | + | 0.594114i | \(0.797503\pi\) | |||||||
\(492\) | −3.10254 | + | 9.54863i | −0.139873 | + | 0.430486i | ||||
\(493\) | −8.66565 | − | 6.29597i | −0.390281 | − | 0.283556i | ||||
\(494\) | 1.45575 | 0.0654973 | ||||||||
\(495\) | 0.544393 | + | 0.314615i | 0.0244687 | + | 0.0141409i | ||||
\(496\) | 3.19291 | 0.143366 | ||||||||
\(497\) | −0.608090 | − | 0.441803i | −0.0272766 | − | 0.0198176i | ||||
\(498\) | −2.79567 | + | 8.60418i | −0.125277 | + | 0.385563i | ||||
\(499\) | 10.7148 | + | 32.9767i | 0.479659 | + | 1.47624i | 0.839569 | + | 0.543253i | \(0.182807\pi\) |
−0.359910 | + | 0.932987i | \(0.617193\pi\) | |||||||
\(500\) | −2.46159 | + | 1.78845i | −0.110085 | + | 0.0799818i | ||||
\(501\) | −27.3640 | + | 19.8811i | −1.22254 | + | 0.888224i | ||||
\(502\) | −5.62248 | − | 17.3042i | −0.250944 | − | 0.772325i | ||||
\(503\) | −9.57192 | + | 29.4594i | −0.426791 | + | 1.31353i | 0.474478 | + | 0.880267i | \(0.342637\pi\) |
−0.901269 | + | 0.433260i | \(0.857363\pi\) | |||||||
\(504\) | 0.0112274 | + | 0.00815717i | 0.000500107 | + | 0.000363349i | ||||
\(505\) | 7.20034 | 0.320411 | ||||||||
\(506\) | 2.14850 | + | 4.83115i | 0.0955124 | + | 0.214771i | ||||
\(507\) | −19.0437 | −0.845761 | ||||||||
\(508\) | −4.40557 | − | 3.20083i | −0.195465 | − | 0.142014i | ||||
\(509\) | −0.221942 | + | 0.683067i | −0.00983741 | + | 0.0302764i | −0.955855 | − | 0.293840i | \(-0.905067\pi\) |
0.946017 | + | 0.324116i | \(0.105067\pi\) | |||||||
\(510\) | 4.91349 | + | 15.1222i | 0.217573 | + | 0.669620i | ||||
\(511\) | −1.62796 | + | 1.18278i | −0.0720167 | + | 0.0523232i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −1.58833 | − | 4.88838i | −0.0701265 | − | 0.215827i | ||||
\(514\) | 6.44755 | − | 19.8435i | 0.284389 | − | 0.875260i | ||||
\(515\) | −19.1258 | − | 13.8957i | −0.842782 | − | 0.612317i | ||||
\(516\) | 9.93072 | 0.437176 | ||||||||
\(517\) | 17.0712 | − | 15.3578i | 0.750790 | − | 0.675435i | ||||
\(518\) | −0.230204 | −0.0101146 | ||||||||
\(519\) | 12.8035 | + | 9.30232i | 0.562013 | + | 0.408327i | ||||
\(520\) | −1.34842 | + | 4.15002i | −0.0591323 | + | 0.181990i | ||||
\(521\) | −2.93162 | − | 9.02259i | −0.128436 | − | 0.395287i | 0.866075 | − | 0.499914i | \(-0.166635\pi\) |
−0.994512 | + | 0.104627i | \(0.966635\pi\) | |||||||
\(522\) | 0.180833 | − | 0.131383i | 0.00791484 | − | 0.00575047i | ||||
\(523\) | −35.7352 | + | 25.9631i | −1.56259 | + | 1.13529i | −0.628745 | + | 0.777612i | \(0.716431\pi\) |
−0.933845 | + | 0.357677i | \(0.883569\pi\) | |||||||
\(524\) | −5.42064 | − | 16.6830i | −0.236802 | − | 0.728801i | ||||
\(525\) | 0.472910 | − | 1.45547i | 0.0206395 | − | 0.0635218i | ||||
\(526\) | 0.361158 | + | 0.262397i | 0.0157473 | + | 0.0114411i | ||||
\(527\) | 9.67712 | 0.421542 | ||||||||
\(528\) | 1.20931 | − | 5.67744i | 0.0526284 | − | 0.247079i | ||||
\(529\) | −20.4585 | −0.889502 | ||||||||
\(530\) | −3.62673 | − | 2.63497i | −0.157535 | − | 0.114456i | ||||
\(531\) | −0.00393271 | + | 0.0121036i | −0.000170665 | + | 0.000525253i | ||||
\(532\) | 0.0678059 | + | 0.208685i | 0.00293976 | + | 0.00904765i | ||||
\(533\) | −6.75598 | + | 4.90851i | −0.292634 | + | 0.212611i | ||||
\(534\) | −8.94917 | + | 6.50195i | −0.387268 | + | 0.281367i | ||||
\(535\) | −2.98823 | − | 9.19683i | −0.129193 | − | 0.397614i | ||||
\(536\) | 1.81649 | − | 5.59059i | 0.0784606 | − | 0.241477i | ||||
\(537\) | −28.3602 | − | 20.6049i | −1.22383 | − | 0.889166i | ||||
\(538\) | −6.10747 | −0.263312 | ||||||||
\(539\) | −22.9314 | + | 2.40030i | −0.987726 | + | 0.103388i | ||||
\(540\) | 15.4069 | 0.663008 | ||||||||
\(541\) | 20.0191 | + | 14.5447i | 0.860687 | + | 0.625325i | 0.928072 | − | 0.372402i | \(-0.121466\pi\) |
−0.0673851 | + | 0.997727i | \(0.521466\pi\) | |||||||
\(542\) | −1.84693 | + | 5.68428i | −0.0793326 | + | 0.244161i | ||||
\(543\) | 4.38615 | + | 13.4992i | 0.188228 | + | 0.579306i | ||||
\(544\) | 2.45198 | − | 1.78147i | 0.105128 | − | 0.0763798i | ||||
\(545\) | 45.1619 | − | 32.8120i | 1.93452 | − | 1.40551i | ||||
\(546\) | 0.172761 | + | 0.531703i | 0.00739348 | + | 0.0227548i | ||||
\(547\) | 10.3536 | − | 31.8652i | 0.442690 | − | 1.36246i | −0.442308 | − | 0.896863i | \(-0.645840\pi\) |
0.884998 | − | 0.465595i | \(-0.154160\pi\) | |||||||
\(548\) | −9.89559 | − | 7.18957i | −0.422719 | − | 0.307123i | ||||
\(549\) | 0.714747 | 0.0305047 | ||||||||
\(550\) | −13.1447 | + | 1.37589i | −0.560491 | + | 0.0586682i | ||||
\(551\) | 3.53414 | 0.150560 | ||||||||
\(552\) | −2.25731 | − | 1.64003i | −0.0960773 | − | 0.0698042i | ||||
\(553\) | 0.351932 | − | 1.08313i | 0.0149657 | − | 0.0460596i | ||||
\(554\) | −4.67920 | − | 14.4011i | −0.198800 | − | 0.611844i | ||||
\(555\) | 4.45281 | − | 3.23515i | 0.189011 | − | 0.137325i | ||||
\(556\) | −9.34020 | + | 6.78605i | −0.396113 | + | 0.287793i | ||||
\(557\) | −8.74395 | − | 26.9111i | −0.370493 | − | 1.14026i | −0.946469 | − | 0.322794i | \(-0.895378\pi\) |
0.575976 | − | 0.817466i | \(-0.304622\pi\) | |||||||
\(558\) | −0.0624029 | + | 0.192056i | −0.00264173 | + | 0.00813040i | ||||
\(559\) | 6.68243 | + | 4.85507i | 0.282637 | + | 0.205348i | ||||
\(560\) | −0.657722 | −0.0277938 | ||||||||
\(561\) | 3.66519 | − | 17.2073i | 0.154744 | − | 0.726491i | ||||
\(562\) | 17.6245 | 0.743444 | ||||||||
\(563\) | 12.2817 | + | 8.92317i | 0.517611 | + | 0.376067i | 0.815703 | − | 0.578471i | \(-0.196350\pi\) |
−0.298092 | + | 0.954537i | \(0.596350\pi\) | |||||||
\(564\) | −3.74456 | + | 11.5246i | −0.157674 | + | 0.485272i | ||||
\(565\) | −15.9683 | − | 49.1455i | −0.671793 | − | 2.06757i | ||||
\(566\) | 23.4898 | − | 17.0663i | 0.987351 | − | 0.717352i | ||||
\(567\) | 1.63064 | − | 1.18473i | 0.0684803 | − | 0.0497538i | ||||
\(568\) | −1.05854 | − | 3.25785i | −0.0444154 | − | 0.136696i | ||||
\(569\) | 6.79777 | − | 20.9214i | 0.284977 | − | 0.877070i | −0.701428 | − | 0.712740i | \(-0.747454\pi\) |
0.986405 | − | 0.164330i | \(-0.0525462\pi\) | |||||||
\(570\) | −4.24430 | − | 3.08366i | −0.177774 | − | 0.129160i | ||||
\(571\) | −16.0273 | −0.670724 | −0.335362 | − | 0.942089i | \(-0.608859\pi\) | ||||
−0.335362 | + | 0.942089i | \(0.608859\pi\) | |||||||
\(572\) | 3.58941 | − | 3.22915i | 0.150081 | − | 0.135018i | ||||
\(573\) | 28.8751 | 1.20627 | ||||||||
\(574\) | −1.01833 | − | 0.739857i | −0.0425041 | − | 0.0308810i | ||||
\(575\) | −1.96311 | + | 6.04182i | −0.0818672 | + | 0.251961i | ||||
\(576\) | 0.0195442 | + | 0.0601509i | 0.000814342 | + | 0.00250629i | ||||
\(577\) | 37.3881 | − | 27.1640i | 1.55649 | − | 1.13085i | 0.617669 | − | 0.786438i | \(-0.288077\pi\) |
0.938818 | − | 0.344415i | \(-0.111923\pi\) | |||||||
\(578\) | −6.32179 | + | 4.59305i | −0.262952 | + | 0.191046i | ||||
\(579\) | 9.73613 | + | 29.9647i | 0.404620 | + | 1.24529i | ||||
\(580\) | −3.27359 | + | 10.0751i | −0.135928 | + | 0.418344i | ||||
\(581\) | −0.917604 | − | 0.666678i | −0.0380686 | − | 0.0276585i | ||||
\(582\) | −7.39434 | −0.306505 | ||||||||
\(583\) | 2.01555 | + | 4.53221i | 0.0834756 | + | 0.187705i | ||||
\(584\) | −9.17067 | −0.379485 | ||||||||
\(585\) | −0.223273 | − | 0.162218i | −0.00923122 | − | 0.00670688i | ||||
\(586\) | 5.62139 | − | 17.3009i | 0.232218 | − | 0.714692i | ||||
\(587\) | 2.48129 | + | 7.63663i | 0.102414 | + | 0.315197i | 0.989115 | − | 0.147146i | \(-0.0470087\pi\) |
−0.886701 | + | 0.462343i | \(0.847009\pi\) | |||||||
\(588\) | 9.84349 | − | 7.15172i | 0.405939 | − | 0.294932i | ||||
\(589\) | −2.58312 | + | 1.87675i | −0.106436 | + | 0.0773300i | ||||
\(590\) | −0.186386 | − | 0.573637i | −0.00767339 | − | 0.0236163i | ||||
\(591\) | 6.70903 | − | 20.6483i | 0.275973 | − | 0.849357i | ||||
\(592\) | −0.848762 | − | 0.616661i | −0.0348839 | − | 0.0253446i | ||||
\(593\) | 15.3857 | 0.631813 | 0.315907 | − | 0.948790i | \(-0.397691\pi\) | ||||
0.315907 | + | 0.948790i | \(0.397691\pi\) | |||||||
\(594\) | −14.7597 | − | 8.52993i | −0.605599 | − | 0.349987i | ||||
\(595\) | −1.99343 | −0.0817228 | ||||||||
\(596\) | 8.82362 | + | 6.41074i | 0.361430 | + | 0.262594i | ||||
\(597\) | 12.0624 | − | 37.1242i | 0.493680 | − | 1.51939i | ||||
\(598\) | −0.717151 | − | 2.20716i | −0.0293265 | − | 0.0902577i | ||||
\(599\) | 6.98936 | − | 5.07806i | 0.285577 | − | 0.207484i | −0.435769 | − | 0.900058i | \(-0.643524\pi\) |
0.721346 | + | 0.692574i | \(0.243524\pi\) | |||||||
\(600\) | 5.64246 | − | 4.09948i | 0.230352 | − | 0.167361i | ||||
\(601\) | 6.05009 | + | 18.6203i | 0.246788 | + | 0.759537i | 0.995337 | + | 0.0964569i | \(0.0307510\pi\) |
−0.748549 | + | 0.663080i | \(0.769249\pi\) | |||||||
\(602\) | −0.384731 | + | 1.18408i | −0.0156805 | + | 0.0482596i | ||||
\(603\) | 0.300777 | + | 0.218527i | 0.0122486 | + | 0.00889912i | ||||
\(604\) | 16.6567 | 0.677753 | ||||||||
\(605\) | 30.1103 | + | 13.4368i | 1.22416 | + | 0.546282i | ||||
\(606\) | 4.20423 | 0.170785 | ||||||||
\(607\) | 25.6557 | + | 18.6399i | 1.04133 | + | 0.756571i | 0.970545 | − | 0.240920i | \(-0.0774492\pi\) |
0.0707863 | + | 0.997492i | \(0.477449\pi\) | |||||||
\(608\) | −0.309017 | + | 0.951057i | −0.0125323 | + | 0.0385704i | ||||
\(609\) | 0.419414 | + | 1.29082i | 0.0169955 | + | 0.0523068i | ||||
\(610\) | −27.4051 | + | 19.9110i | −1.10960 | + | 0.806172i | ||||
\(611\) | −8.15402 | + | 5.92424i | −0.329876 | + | 0.239669i | ||||
\(612\) | 0.0592349 | + | 0.182306i | 0.00239443 | + | 0.00736929i | ||||
\(613\) | 11.6976 | − | 36.0016i | 0.472463 | − | 1.45409i | −0.376886 | − | 0.926260i | \(-0.623005\pi\) |
0.849349 | − | 0.527832i | \(-0.176995\pi\) | |||||||
\(614\) | −17.0121 | − | 12.3600i | −0.686552 | − | 0.498809i | ||||
\(615\) | 30.0948 | 1.21354 | ||||||||
\(616\) | 0.630094 | + | 0.364143i | 0.0253872 | + | 0.0146718i | ||||
\(617\) | 21.5474 | 0.867465 | 0.433733 | − | 0.901042i | \(-0.357196\pi\) | ||||
0.433733 | + | 0.901042i | \(0.357196\pi\) | |||||||
\(618\) | −11.1674 | − | 8.11360i | −0.449219 | − | 0.326377i | ||||
\(619\) | −7.44437 | + | 22.9114i | −0.299215 | + | 0.920888i | 0.682559 | + | 0.730831i | \(0.260867\pi\) |
−0.981773 | + | 0.190057i | \(0.939133\pi\) | |||||||
\(620\) | −2.95751 | − | 9.10228i | −0.118776 | − | 0.365556i | ||||
\(621\) | −6.62915 | + | 4.81636i | −0.266019 | + | 0.193274i | ||||
\(622\) | 14.5626 | − | 10.5803i | 0.583906 | − | 0.424232i | ||||
\(623\) | −0.428550 | − | 1.31894i | −0.0171695 | − | 0.0528423i | ||||
\(624\) | −0.787336 | + | 2.42317i | −0.0315187 | + | 0.0970045i | ||||
\(625\) | 23.4979 | + | 17.0722i | 0.939916 | + | 0.682889i | ||||
\(626\) | 0.228953 | 0.00915081 | ||||||||
\(627\) | 2.35876 | + | 5.30396i | 0.0941999 | + | 0.211820i | ||||
\(628\) | 22.0535 | 0.880029 | ||||||||
\(629\) | −2.57244 | − | 1.86899i | −0.102570 | − | 0.0745214i | ||||
\(630\) | 0.0128547 | − | 0.0395626i | 0.000512142 | − | 0.00157621i | ||||
\(631\) | 14.6854 | + | 45.1970i | 0.584616 | + | 1.79926i | 0.600807 | + | 0.799394i | \(0.294846\pi\) |
−0.0161906 | + | 0.999869i | \(0.505154\pi\) | |||||||
\(632\) | 4.19903 | − | 3.05077i | 0.167028 | − | 0.121353i | ||||
\(633\) | 29.7303 | − | 21.6004i | 1.18167 | − | 0.858537i | ||||
\(634\) | 4.64173 | + | 14.2858i | 0.184347 | + | 0.567361i | ||||
\(635\) | −5.04410 | + | 15.5241i | −0.200169 | + | 0.616057i | ||||
\(636\) | −2.11763 | − | 1.53855i | −0.0839693 | − | 0.0610073i | ||||
\(637\) | 10.1202 | 0.400975 | ||||||||
\(638\) | 8.71407 | − | 7.83945i | 0.344993 | − | 0.310367i | ||||
\(639\) | 0.216651 | 0.00857058 | ||||||||
\(640\) | −2.42502 | − | 1.76188i | −0.0958572 | − | 0.0696443i | ||||
\(641\) | −10.9912 | + | 33.8275i | −0.434127 | + | 1.33610i | 0.459852 | + | 0.887995i | \(0.347902\pi\) |
−0.893979 | + | 0.448109i | \(0.852098\pi\) | |||||||
\(642\) | −1.74481 | − | 5.36997i | −0.0688621 | − | 0.211936i | ||||
\(643\) | −18.5467 | + | 13.4750i | −0.731411 | + | 0.531401i | −0.890010 | − | 0.455942i | \(-0.849303\pi\) |
0.158598 | + | 0.987343i | \(0.449303\pi\) | |||||||
\(644\) | 0.282999 | − | 0.205611i | 0.0111517 | − | 0.00810220i | ||||
\(645\) | −9.19857 | − | 28.3103i | −0.362193 | − | 1.11472i | ||||
\(646\) | −0.936573 | + | 2.88248i | −0.0368490 | + | 0.113410i | ||||
\(647\) | 2.81107 | + | 2.04236i | 0.110515 | + | 0.0802935i | 0.641670 | − | 0.766981i | \(-0.278242\pi\) |
−0.531155 | + | 0.847274i | \(0.678242\pi\) | |||||||
\(648\) | 9.18574 | 0.360850 | ||||||||
\(649\) | −0.139034 | + | 0.652732i | −0.00545755 | + | 0.0256220i | ||||
\(650\) | 5.80105 | 0.227536 | ||||||||
\(651\) | −0.992021 | − | 0.720745i | −0.0388804 | − | 0.0282482i | ||||
\(652\) | −5.48892 | + | 16.8931i | −0.214963 | + | 0.661587i | ||||
\(653\) | 11.2709 | + | 34.6883i | 0.441065 | + | 1.35746i | 0.886742 | + | 0.462265i | \(0.152963\pi\) |
−0.445677 | + | 0.895194i | \(0.647037\pi\) | |||||||
\(654\) | 26.3697 | − | 19.1587i | 1.03114 | − | 0.749166i | ||||
\(655\) | −42.5386 | + | 30.9061i | −1.66212 | + | 1.20760i | ||||
\(656\) | −1.77266 | − | 5.45570i | −0.0692109 | − | 0.213009i | ||||
\(657\) | 0.179233 | − | 0.551624i | 0.00699256 | − | 0.0215209i | ||||
\(658\) | −1.22905 | − | 0.892958i | −0.0479134 | − | 0.0348111i | ||||
\(659\) | 40.0640 | 1.56067 | 0.780335 | − | 0.625361i | \(-0.215048\pi\) | ||||
0.780335 | + | 0.625361i | \(0.215048\pi\) | |||||||
\(660\) | −17.3053 | + | 1.81139i | −0.673606 | + | 0.0705083i | ||||
\(661\) | 42.6426 | 1.65861 | 0.829303 | − | 0.558799i | \(-0.188738\pi\) | ||||
0.829303 | + | 0.558799i | \(0.188738\pi\) | |||||||
\(662\) | −12.9606 | − | 9.41642i | −0.503728 | − | 0.365980i | ||||
\(663\) | −2.38627 | + | 7.34418i | −0.0926750 | + | 0.285224i | ||||
\(664\) | −1.59733 | − | 4.91608i | −0.0619884 | − | 0.190781i | ||||
\(665\) | 0.532108 | − | 0.386599i | 0.0206343 | − | 0.0149917i | ||||
\(666\) | 0.0536811 | − | 0.0390016i | 0.00208010 | − | 0.00151128i | ||||
\(667\) | −1.74104 | − | 5.35837i | −0.0674133 | − | 0.207477i | ||||
\(668\) | 5.97192 | − | 18.3797i | 0.231061 | − | 0.711131i | ||||
\(669\) | −33.2176 | − | 24.1340i | −1.28427 | − | 0.933075i | ||||
\(670\) | −17.6201 | −0.680724 | ||||||||
\(671\) | 37.2775 | − | 3.90194i | 1.43908 | − | 0.150633i | ||||
\(672\) | −0.384040 | −0.0148147 | ||||||||
\(673\) | −13.3643 | − | 9.70974i | −0.515156 | − | 0.374283i | 0.299620 | − | 0.954059i | \(-0.403140\pi\) |
−0.814776 | + | 0.579776i | \(0.803140\pi\) | |||||||
\(674\) | 8.25977 | − | 25.4210i | 0.318154 | − | 0.979178i | ||||
\(675\) | −6.32937 | − | 19.4798i | −0.243618 | − | 0.749778i | ||||
\(676\) | 8.80275 | − | 6.39557i | 0.338567 | − | 0.245983i | ||||
\(677\) | 5.41342 | − | 3.93308i | 0.208055 | − | 0.151161i | −0.478878 | − | 0.877881i | \(-0.658957\pi\) |
0.686933 | + | 0.726721i | \(0.258957\pi\) | |||||||
\(678\) | −9.32382 | − | 28.6958i | −0.358079 | − | 1.10205i | ||||
\(679\) | 0.286468 | − | 0.881658i | 0.0109936 | − | 0.0338349i | ||||
\(680\) | −7.34978 | − | 5.33993i | −0.281851 | − | 0.204777i | ||||
\(681\) | −28.0850 | −1.07622 | ||||||||
\(682\) | −2.20614 | + | 10.3573i | −0.0844775 | + | 0.396603i | ||||
\(683\) | −16.9752 | −0.649536 | −0.324768 | − | 0.945794i | \(-0.605286\pi\) | ||||
−0.324768 | + | 0.945794i | \(0.605286\pi\) | |||||||
\(684\) | −0.0511674 | − | 0.0371753i | −0.00195643 | − | 0.00142143i | ||||
\(685\) | −11.3298 | + | 34.8696i | −0.432891 | + | 1.33230i | ||||
\(686\) | 0.946018 | + | 2.91154i | 0.0361191 | + | 0.111163i | ||||
\(687\) | 35.6340 | − | 25.8896i | 1.35952 | − | 0.987752i | ||||
\(688\) | −4.59037 | + | 3.33510i | −0.175006 | + | 0.127149i | ||||
\(689\) | −0.672775 | − | 2.07059i | −0.0256307 | − | 0.0788831i | ||||
\(690\) | −2.58447 | + | 7.95419i | −0.0983892 | + | 0.302811i | ||||
\(691\) | 21.5236 | + | 15.6378i | 0.818796 | + | 0.594890i | 0.916367 | − | 0.400338i | \(-0.131107\pi\) |
−0.0975713 | + | 0.995229i | \(0.531107\pi\) | |||||||
\(692\) | −9.04236 | −0.343739 | ||||||||
\(693\) | −0.0342182 | + | 0.0307838i | −0.00129984 | + | 0.00116938i | ||||
\(694\) | −8.93937 | −0.339334 | ||||||||
\(695\) | 27.9971 | + | 20.3411i | 1.06199 | + | 0.771581i | ||||
\(696\) | −1.91143 | + | 5.88277i | −0.0724524 | + | 0.222986i | ||||
\(697\) | −5.37261 | − | 16.5352i | −0.203502 | − | 0.626315i | ||||
\(698\) | −10.8292 | + | 7.86786i | −0.409890 | + | 0.297803i | ||||
\(699\) | −26.0583 | + | 18.9325i | −0.985617 | + | 0.716093i | ||||
\(700\) | 0.270201 | + | 0.831594i | 0.0102126 | + | 0.0314313i | ||||
\(701\) | −1.98897 | + | 6.12142i | −0.0751224 | + | 0.231203i | −0.981566 | − | 0.191124i | \(-0.938787\pi\) |
0.906443 | + | 0.422327i | \(0.138787\pi\) | |||||||
\(702\) | 6.05345 | + | 4.39809i | 0.228473 | + | 0.165995i | ||||
\(703\) | 1.04913 | 0.0395686 | ||||||||
\(704\) | 1.34770 | + | 3.03046i | 0.0507933 | + | 0.114215i | ||||
\(705\) | 36.3225 | 1.36798 | ||||||||
\(706\) | −14.9930 | − | 10.8930i | −0.564267 | − | 0.409964i | ||||
\(707\) | −0.162878 | + | 0.501288i | −0.00612567 | + | 0.0188529i | ||||
\(708\) | −0.108830 | − | 0.334943i | −0.00409007 | − | 0.0125879i | ||||
\(709\) | −18.2733 | + | 13.2763i | −0.686267 | + | 0.498602i | −0.875431 | − | 0.483343i | \(-0.839422\pi\) |
0.189164 | + | 0.981946i | \(0.439422\pi\) | |||||||
\(710\) | −8.30691 | + | 6.03533i | −0.311753 | + | 0.226502i | ||||
\(711\) | 0.101440 | + | 0.312200i | 0.00380429 | + | 0.0117084i | ||||
\(712\) | 1.95306 | − | 6.01091i | 0.0731941 | − | 0.225268i | ||||
\(713\) | 4.11800 | + | 2.99190i | 0.154220 | + | 0.112048i | ||||
\(714\) | −1.16395 | −0.0435599 | ||||||||
\(715\) | −12.5304 | − | 7.24154i | −0.468609 | − | 0.270818i | ||||
\(716\) | 20.0291 | 0.748521 | ||||||||
\(717\) | −8.13345 | − | 5.90930i | −0.303749 | − | 0.220687i | ||||
\(718\) | 1.24924 | − | 3.84476i | 0.0466212 | − | 0.143485i | ||||
\(719\) | 8.06688 | + | 24.8273i | 0.300844 | + | 0.925902i | 0.981196 | + | 0.193016i | \(0.0618270\pi\) |
−0.680352 | + | 0.732886i | \(0.738173\pi\) | |||||||
\(720\) | 0.153374 | − | 0.111432i | 0.00571589 | − | 0.00415284i | ||||
\(721\) | 1.40006 | − | 1.01720i | 0.0521410 | − | 0.0378827i | ||||
\(722\) | −0.309017 | − | 0.951057i | −0.0115004 | − | 0.0353947i | ||||
\(723\) | 8.26092 | − | 25.4245i | 0.307227 | − | 0.945547i | ||||
\(724\) | −6.56097 | − | 4.76682i | −0.243836 | − | 0.177158i | ||||
\(725\) | 14.0833 | 0.523040 | ||||||||
\(726\) | 17.5812 | + | 7.84564i | 0.652500 | + | 0.291179i | ||||
\(727\) | 41.2022 | 1.52810 | 0.764052 | − | 0.645155i | \(-0.223207\pi\) | ||||
0.764052 | + | 0.645155i | \(0.223207\pi\) | |||||||
\(728\) | −0.258422 | − | 0.187755i | −0.00957776 | − | 0.00695865i | ||||
\(729\) | 8.16022 | − | 25.1146i | 0.302230 | − | 0.930170i | ||||
\(730\) | 8.49455 | + | 26.1435i | 0.314397 | + | 0.967616i | ||||
\(731\) | −13.9126 | + | 10.1081i | −0.514575 | + | 0.373860i | ||||
\(732\) | −16.0017 | + | 11.6259i | −0.591439 | + | 0.429706i | ||||
\(733\) | 1.83470 | + | 5.64662i | 0.0677661 | + | 0.208563i | 0.979205 | − | 0.202872i | \(-0.0650277\pi\) |
−0.911439 | + | 0.411435i | \(0.865028\pi\) | |||||||
\(734\) | −6.12685 | + | 18.8565i | −0.226146 | + | 0.696007i | ||||
\(735\) | −29.5057 | − | 21.4372i | −1.08834 | − | 0.790722i | ||||
\(736\) | 1.59420 | 0.0587628 | ||||||||
\(737\) | 16.8800 | + | 9.75525i | 0.621781 | + | 0.359339i | ||||
\(738\) | 0.362810 | 0.0133552 | ||||||||
\(739\) | 21.6501 | + | 15.7297i | 0.796412 | + | 0.578627i | 0.909859 | − | 0.414917i | \(-0.136189\pi\) |
−0.113448 | + | 0.993544i | \(0.536189\pi\) | |||||||
\(740\) | −0.971779 | + | 2.99083i | −0.0357233 | + | 0.109945i | ||||
\(741\) | −0.787336 | − | 2.42317i | −0.0289235 | − | 0.0890174i | ||||
\(742\) | 0.265487 | − | 0.192888i | 0.00974634 | − | 0.00708113i | ||||
\(743\) | 15.0272 | − | 10.9179i | 0.551295 | − | 0.400539i | −0.276968 | − | 0.960879i | \(-0.589330\pi\) |
0.828263 | + | 0.560340i | \(0.189330\pi\) | |||||||
\(744\) | −1.72687 | − | 5.31477i | −0.0633102 | − | 0.194849i | ||||
\(745\) | 10.1025 | − | 31.0923i | 0.370127 | − | 1.13913i | ||||
\(746\) | 0.304033 | + | 0.220893i | 0.0111314 | + | 0.00808747i | ||||
\(747\) | 0.326925 | 0.0119616 | ||||||||
\(748\) | 4.08463 | + | 9.18477i | 0.149349 | + | 0.335828i | ||||
\(749\) | 0.707881 | 0.0258654 | ||||||||
\(750\) | 4.30830 | + | 3.13016i | 0.157317 | + | 0.114297i | ||||
\(751\) | −3.50991 | + | 10.8024i | −0.128078 | + | 0.394185i | −0.994449 | − | 0.105216i | \(-0.966447\pi\) |
0.866371 | + | 0.499401i | \(0.166447\pi\) | |||||||
\(752\) | −2.13949 | − | 6.58466i | −0.0780191 | − | 0.240118i | ||||
\(753\) | −25.7629 | + | 18.7178i | −0.938852 | + | 0.682116i | ||||
\(754\) | −4.16225 | + | 3.02406i | −0.151580 | + | 0.110130i | ||||
\(755\) | −15.4287 | − | 47.4846i | −0.561508 | − | 1.72814i | ||||
\(756\) | −0.348519 | + | 1.07263i | −0.0126755 | + | 0.0390112i | ||||
\(757\) | −24.0382 | − | 17.4647i | −0.873681 | − | 0.634767i | 0.0578908 | − | 0.998323i | \(-0.481562\pi\) |
−0.931572 | + | 0.363556i | \(0.881562\pi\) | |||||||
\(758\) | −25.6301 | −0.930929 | ||||||||
\(759\) | 6.87970 | − | 6.18919i | 0.249717 | − | 0.224653i | ||||
\(760\) | 2.99749 | 0.108730 | ||||||||
\(761\) | 21.9856 | + | 15.9735i | 0.796977 | + | 0.579038i | 0.910026 | − | 0.414552i | \(-0.136062\pi\) |
−0.113049 | + | 0.993589i | \(0.536062\pi\) | |||||||
\(762\) | −2.94522 | + | 9.06445i | −0.106694 | + | 0.328370i | ||||
\(763\) | 1.26277 | + | 3.88641i | 0.0457154 | + | 0.140698i | ||||
\(764\) | −13.3472 | + | 9.69731i | −0.482885 | + | 0.350836i | ||||
\(765\) | 0.464847 | − | 0.337731i | 0.0168066 | − | 0.0122107i | ||||
\(766\) | 8.47121 | + | 26.0717i | 0.306077 | + | 0.942009i | ||||
\(767\) | 0.0905196 | − | 0.278591i | 0.00326847 | − | 0.0100593i | ||||
\(768\) | −1.41595 | − | 1.02875i | −0.0510938 | − | 0.0371218i | ||||
\(769\) | −14.8422 | −0.535222 | −0.267611 | − | 0.963527i | \(-0.586234\pi\) | ||||
−0.267611 | + | 0.963527i | \(0.586234\pi\) | |||||||
\(770\) | 0.454453 | − | 2.13355i | 0.0163773 | − | 0.0768880i | ||||
\(771\) | −36.5177 | −1.31515 | ||||||||
\(772\) | −14.5637 | − | 10.5811i | −0.524158 | − | 0.380823i | ||||
\(773\) | 5.25711 | − | 16.1797i | 0.189085 | − | 0.581945i | −0.810910 | − | 0.585172i | \(-0.801027\pi\) |
0.999995 | + | 0.00322699i | \(0.00102719\pi\) | |||||||
\(774\) | −0.110894 | − | 0.341297i | −0.00398600 | − | 0.0122677i | ||||
\(775\) | −10.2935 | + | 7.47868i | −0.369754 | + | 0.268642i | ||||
\(776\) | 3.41795 | − | 2.48329i | 0.122697 | − | 0.0891448i | ||||
\(777\) | 0.124505 | + | 0.383187i | 0.00446659 | + | 0.0137468i | ||||
\(778\) | 3.58817 | − | 11.0433i | 0.128642 | − | 0.395920i | ||||
\(779\) | 4.64089 | + | 3.37181i | 0.166277 | + | 0.120807i | ||||
\(780\) | 7.63721 | 0.273456 | ||||||||
\(781\) | 11.2994 | − | 1.18274i | 0.404324 | − | 0.0423217i | ||||
\(782\) | 4.83171 | 0.172782 | ||||||||
\(783\) | 14.6960 | + | 10.6773i | 0.525194 | + | 0.381576i | ||||
\(784\) | −2.14824 | + | 6.61160i | −0.0767229 | + | 0.236129i | ||||
\(785\) | −20.4276 | − | 62.8696i | −0.729091 | − | 2.24391i | ||||
\(786\) | −24.8380 | + | 18.0459i | −0.885942 | + | 0.643675i | ||||
\(787\) | −36.2184 | + | 26.3142i | −1.29105 | + | 0.938001i | −0.999826 | − | 0.0186550i | \(-0.994062\pi\) |
−0.291221 | + | 0.956656i | \(0.594062\pi\) | |||||||
\(788\) | 3.83327 | + | 11.7976i | 0.136554 | + | 0.420271i | ||||
\(789\) | 0.241442 | − | 0.743083i | 0.00859558 | − | 0.0264545i | ||||
\(790\) | −12.5865 | − | 9.14464i | −0.447808 | − | 0.325352i | ||||
\(791\) | 3.78273 | 0.134499 | ||||||||
\(792\) | −0.208625 | + | 0.0218373i | −0.00741316 | + | 0.000775956i | ||||
\(793\) | −16.4514 | −0.584207 | ||||||||
\(794\) | 10.3726 | + | 7.53616i | 0.368111 | + | 0.267448i | ||||
\(795\) | −2.42455 | + | 7.46200i | −0.0859899 | + | 0.264650i | ||||
\(796\) | 6.89194 | + | 21.2112i | 0.244278 | + | 0.751812i | ||||
\(797\) | 33.5931 | − | 24.4068i | 1.18993 | − | 0.864533i | 0.196671 | − | 0.980470i | \(-0.436987\pi\) |
0.993257 | + | 0.115937i | \(0.0369869\pi\) | |||||||
\(798\) | 0.310695 | − | 0.225733i | 0.0109985 | − | 0.00799086i | ||||
\(799\) | −6.48439 | − | 19.9569i | −0.229401 | − | 0.706024i | ||||
\(800\) | −1.23141 | + | 3.78988i | −0.0435369 | + | 0.133993i | ||||
\(801\) | 0.323390 | + | 0.234957i | 0.0114264 | + | 0.00830179i | ||||
\(802\) | −20.1472 | −0.711423 | ||||||||
\(803\) | 6.33647 | − | 29.7483i | 0.223609 | − | 1.04979i | ||||
\(804\) | −10.2883 | −0.362839 | ||||||||
\(805\) | −0.848285 | − | 0.616315i | −0.0298981 | − | 0.0217223i | ||||
\(806\) | 1.43634 | − | 4.42059i | 0.0505928 | − | 0.155709i | ||||
\(807\) | 3.30320 | + | 10.1662i | 0.116278 | + | 0.357867i | ||||
\(808\) | −1.94336 | + | 1.41193i | −0.0683672 | + | 0.0496717i | ||||
\(809\) | −45.7238 | + | 33.2203i | −1.60756 | + | 1.16796i | −0.737015 | + | 0.675877i | \(0.763765\pi\) |
−0.870547 | + | 0.492085i | \(0.836235\pi\) | |||||||
\(810\) | −8.50851 | − | 26.1865i | −0.298959 | − | 0.920100i | ||||
\(811\) | −6.14937 | + | 18.9258i | −0.215934 | + | 0.664576i | 0.783152 | + | 0.621830i | \(0.213610\pi\) |
−0.999086 | + | 0.0427456i | \(0.986390\pi\) | |||||||
\(812\) | −0.627375 | − | 0.455815i | −0.0220165 | − | 0.0159960i | ||||
\(813\) | 10.4607 | 0.366872 | ||||||||
\(814\) | 2.58681 | − | 2.32718i | 0.0906677 | − | 0.0815675i | ||||
\(815\) | 53.2429 | 1.86502 | ||||||||
\(816\) | −4.29149 | − | 3.11795i | −0.150232 | − | 0.109150i | ||||
\(817\) | 1.75337 | − | 5.39630i | 0.0613425 | − | 0.188793i | ||||
\(818\) | −1.53406 | − | 4.72136i | −0.0536372 | − | 0.165078i | ||||
\(819\) | 0.0163443 | − | 0.0118748i | 0.000571115 | − | 0.000414939i | ||||
\(820\) | −13.9110 | + | 10.1069i | −0.485793 | + | 0.352950i | ||||
\(821\) | 13.0671 | + | 40.2163i | 0.456044 | + | 1.40356i | 0.869906 | + | 0.493218i | \(0.164180\pi\) |
−0.413862 | + | 0.910340i | \(0.635820\pi\) | |||||||
\(822\) | −6.61542 | + | 20.3602i | −0.230739 | + | 0.710142i | ||||
\(823\) | 9.56358 | + | 6.94835i | 0.333366 | + | 0.242204i | 0.741857 | − | 0.670558i | \(-0.233945\pi\) |
−0.408492 | + | 0.912762i | \(0.633945\pi\) | |||||||
\(824\) | 7.88686 | 0.274752 | ||||||||
\(825\) | 9.39948 | + | 21.1358i | 0.327248 | + | 0.735856i | ||||
\(826\) | 0.0441529 | 0.00153627 | ||||||||
\(827\) | −1.80096 | − | 1.30848i | −0.0626256 | − | 0.0455001i | 0.556032 | − | 0.831161i | \(-0.312323\pi\) |
−0.618658 | + | 0.785661i | \(0.712323\pi\) | |||||||
\(828\) | −0.0311573 | + | 0.0958923i | −0.00108279 | + | 0.00333249i | ||||
\(829\) | −5.83372 | − | 17.9544i | −0.202614 | − | 0.623581i | −0.999803 | − | 0.0198512i | \(-0.993681\pi\) |
0.797189 | − | 0.603729i | \(-0.206319\pi\) | |||||||
\(830\) | −12.5351 | + | 9.10727i | −0.435099 | + | 0.316118i | ||||
\(831\) | −21.4406 | + | 15.5775i | −0.743768 | + | 0.540379i | ||||
\(832\) | −0.449851 | − | 1.38450i | −0.0155958 | − | 0.0479989i | ||||
\(833\) | −6.51092 | + | 20.0385i | −0.225590 | + | 0.694295i | ||||
\(834\) | 16.3473 | + | 11.8770i | 0.566062 | + | 0.411268i | ||||
\(835\) | −57.9280 | −2.00468 | ||||||||
\(836\) | −2.87157 | − | 1.65954i | −0.0993154 | − | 0.0573963i | ||||
\(837\) | −16.4114 | −0.567261 | ||||||||
\(838\) | −30.2113 | − | 21.9498i | −1.04363 | − | 0.758243i | ||||
\(839\) | 5.55633 | − | 17.1006i | 0.191826 | − | 0.590379i | −0.808173 | − | 0.588945i | \(-0.799544\pi\) |
0.999999 | − | 0.00143402i | \(-0.000456462\pi\) | |||||||
\(840\) | 0.355726 | + | 1.09481i | 0.0122737 | + | 0.0377746i | ||||
\(841\) | 13.3567 | − | 9.70423i | 0.460577 | − | 0.334629i | ||||
\(842\) | 17.4827 | − | 12.7020i | 0.602495 | − | 0.437738i | ||||
\(843\) | −9.53213 | − | 29.3369i | −0.328304 | − | 1.01042i | ||||
\(844\) | −6.48834 | + | 19.9691i | −0.223338 | + | 0.687363i | ||||
\(845\) | −26.3861 | − | 19.1706i | −0.907710 | − | 0.659490i | ||||
\(846\) | 0.437888 | 0.0150549 | ||||||||
\(847\) | −1.61659 | + | 1.79233i | −0.0555467 | + | 0.0615851i | ||||
\(848\) | 1.49555 | 0.0513574 | ||||||||
\(849\) | −41.1122 | − | 29.8697i | −1.41097 | − | 1.02513i | ||||
\(850\) | −3.73217 | + | 11.4864i | −0.128012 | + | 0.393982i | ||||
\(851\) | −0.516835 | − | 1.59066i | −0.0177169 | − | 0.0545270i | ||||
\(852\) | −4.85036 | + | 3.52399i | −0.166170 | + | 0.120730i | ||||
\(853\) | −43.3231 | + | 31.4761i | −1.48336 | + | 1.07772i | −0.506899 | + | 0.862005i | \(0.669208\pi\) |
−0.976456 | + | 0.215715i | \(0.930792\pi\) | |||||||
\(854\) | −0.766275 | − | 2.35835i | −0.0262214 | − | 0.0807011i | ||||
\(855\) | −0.0585835 | + | 0.180301i | −0.00200351 | + | 0.00616618i | ||||
\(856\) | 2.60995 | + | 1.89624i | 0.0892063 | + | 0.0648122i | ||||
\(857\) | −6.51232 | −0.222457 | −0.111228 | − | 0.993795i | \(-0.535478\pi\) | ||||
−0.111228 | + | 0.993795i | \(0.535478\pi\) | |||||||
\(858\) | −7.31640 | − | 4.22829i | −0.249778 | − | 0.144351i | ||||
\(859\) | −23.9426 | −0.816912 | −0.408456 | − | 0.912778i | \(-0.633933\pi\) | ||||
−0.408456 | + | 0.912778i | \(0.633933\pi\) | |||||||
\(860\) | 13.7596 | + | 9.99691i | 0.469197 | + | 0.340892i | ||||
\(861\) | −0.680773 | + | 2.09520i | −0.0232007 | + | 0.0714044i | ||||
\(862\) | −0.646818 | − | 1.99070i | −0.0220307 | − | 0.0678035i | ||||
\(863\) | −0.336499 | + | 0.244481i | −0.0114545 | + | 0.00832222i | −0.593498 | − | 0.804836i | \(-0.702253\pi\) |
0.582043 | + | 0.813158i | \(0.302253\pi\) | |||||||
\(864\) | −4.15830 | + | 3.02118i | −0.141468 | + | 0.102783i | ||||
\(865\) | 8.37570 | + | 25.7778i | 0.284782 | + | 0.876470i | ||||
\(866\) | −2.11269 | + | 6.50218i | −0.0717920 | + | 0.220953i | ||||
\(867\) | 11.0645 | + | 8.03882i | 0.375769 | + | 0.273013i | ||||
\(868\) | 0.700603 | 0.0237800 | ||||||||
\(869\) | 6.99494 | + | 15.7290i | 0.237287 | + | 0.533568i | ||||
\(870\) | 18.5410 | 0.628598 | ||||||||
\(871\) | −6.92302 | − | 5.02987i | −0.234578 | − | 0.170431i | ||||
\(872\) | −5.75492 | + | 17.7118i | −0.194886 | + | 0.599799i | ||||
\(873\) | 0.0825708 | + | 0.254127i | 0.00279460 | + | 0.00860089i | ||||
\(874\) | −1.28973 | + | 0.937045i | −0.0436258 | + | 0.0316960i | ||||
\(875\) | −0.540132 | + | 0.392429i | −0.0182598 | + | 0.0132665i | ||||
\(876\) | 4.95991 | + | 15.2650i | 0.167580 | + | 0.515758i | ||||
\(877\) | 4.44931 | − | 13.6936i | 0.150242 | − | 0.462399i | −0.847405 | − | 0.530946i | \(-0.821837\pi\) |
0.997648 | + | 0.0685477i | \(0.0218365\pi\) | |||||||
\(878\) | −6.61034 | − | 4.80269i | −0.223088 | − | 0.162083i | ||||
\(879\) | −31.8385 | −1.07389 | ||||||||
\(880\) | 7.39084 | − | 6.64903i | 0.249145 | − | 0.224139i | ||||
\(881\) | 28.5670 | 0.962447 | 0.481223 | − | 0.876598i | \(-0.340193\pi\) | ||||
0.481223 | + | 0.876598i | \(0.340193\pi\) | |||||||
\(882\) | −0.355708 | − | 0.258437i | −0.0119773 | − | 0.00870203i | ||||
\(883\) | −10.2561 | + | 31.5651i | −0.345146 | + | 1.06225i | 0.616360 | + | 0.787464i | \(0.288607\pi\) |
−0.961506 | + | 0.274785i | \(0.911393\pi\) | |||||||
\(884\) | −1.36342 | − | 4.19616i | −0.0458567 | − | 0.141132i | ||||
\(885\) | −0.854042 | + | 0.620498i | −0.0287083 | + | 0.0208578i | ||||
\(886\) | −2.85392 | + | 2.07349i | −0.0958792 | + | 0.0696603i | ||||
\(887\) | 6.63500 | + | 20.4204i | 0.222781 | + | 0.685650i | 0.998509 | + | 0.0545829i | \(0.0173829\pi\) |
−0.775728 | + | 0.631068i | \(0.782617\pi\) | |||||||
\(888\) | −0.567416 | + | 1.74633i | −0.0190412 | + | 0.0586029i | ||||
\(889\) | −0.966689 | − | 0.702341i | −0.0324217 | − | 0.0235558i | ||||
\(890\) | −18.9448 | −0.635033 | ||||||||
\(891\) | −6.34688 | + | 29.7972i | −0.212628 | + | 0.998244i | ||||
\(892\) | 23.4596 | 0.785484 | ||||||||
\(893\) | 5.60125 | + | 4.06955i | 0.187439 | + | 0.136182i | ||||
\(894\) | 5.89878 | − | 18.1546i | 0.197285 | − | 0.607180i | ||||
\(895\) | −18.5524 | − | 57.0984i | −0.620138 | − | 1.90859i | ||||
\(896\) | 0.177518 | − | 0.128975i | 0.00593047 | − | 0.00430874i | ||||
\(897\) | −3.28607 | + | 2.38747i | −0.109719 | + | 0.0797153i | ||||
\(898\) | 3.20821 | + | 9.87386i | 0.107059 | + | 0.329495i | ||||
\(899\) | 3.48701 | − | 10.7319i | 0.116298 | − | 0.357930i | ||||
\(900\) | −0.203898 | − | 0.148141i | −0.00679660 | − | 0.00493802i | ||||
\(901\) | 4.53273 | 0.151007 | ||||||||
\(902\) | 18.9223 | − | 1.98065i | 0.630044 | − | 0.0659485i | ||||
\(903\) | 2.17905 | 0.0725141 | ||||||||
\(904\) | 13.9469 | + | 10.1330i | 0.463867 | + | 0.337019i | ||||
\(905\) | −7.51190 | + | 23.1193i | −0.249704 | + | 0.768510i | ||||
\(906\) | −9.00872 | − | 27.7260i | −0.299295 | − | 0.921134i | ||||
\(907\) | 35.6368 | − | 25.8917i | 1.18330 | − | 0.859719i | 0.190762 | − | 0.981636i | \(-0.438904\pi\) |
0.992540 | + | 0.121917i | \(0.0389042\pi\) | |||||||
\(908\) | 12.9820 | − | 9.43196i | 0.430822 | − | 0.313011i | ||||
\(909\) | −0.0469476 | − | 0.144490i | −0.00155715 | − | 0.00479243i | ||||
\(910\) | −0.295877 | + | 0.910616i | −0.00980823 | + | 0.0301866i | ||||
\(911\) | 32.6393 | + | 23.7139i | 1.08139 | + | 0.785676i | 0.977925 | − | 0.208958i | \(-0.0670071\pi\) |
0.103465 | + | 0.994633i | \(0.467007\pi\) | |||||||
\(912\) | 1.75021 | 0.0579554 | ||||||||
\(913\) | 17.0507 | − | 1.78475i | 0.564296 | − | 0.0590665i | ||||
\(914\) | 14.2233 | 0.470464 | ||||||||
\(915\) | 47.9648 | + | 34.8485i | 1.58567 | + | 1.15205i | ||||
\(916\) | −7.77676 | + | 23.9344i | −0.256951 | + | 0.790815i | ||||
\(917\) | −1.18942 | − | 3.66066i | −0.0392782 | − | 0.120886i | ||||
\(918\) | −12.6030 | + | 9.15665i | −0.415962 | + | 0.302214i | ||||
\(919\) | −10.2495 | + | 7.44667i | −0.338098 | + | 0.245643i | −0.743859 | − | 0.668337i | \(-0.767007\pi\) |
0.405761 | + | 0.913979i | \(0.367007\pi\) | |||||||
\(920\) | −1.47666 | − | 4.54470i | −0.0486841 | − | 0.149834i | ||||
\(921\) | −11.3729 | + | 35.0023i | −0.374751 | + | 1.15337i | ||||
\(922\) | −7.20062 | − | 5.23156i | −0.237140 | − | 0.172292i | ||||
\(923\) | −4.98668 | −0.164139 | ||||||||
\(924\) | 0.265352 | − | 1.24577i | 0.00872944 | − | 0.0409828i | ||||
\(925\) | 4.18069 | 0.137460 | ||||||||
\(926\) | −3.71146 | − | 2.69653i | −0.121966 | − | 0.0886136i | ||||
\(927\) | −0.154142 | + | 0.474402i | −0.00506270 | + | 0.0155814i | ||||
\(928\) | −1.09211 | − | 3.36117i | −0.0358503 | − | 0.110336i | ||||
\(929\) | 8.85034 | − | 6.43015i | 0.290370 | − | 0.210966i | −0.433058 | − | 0.901366i | \(-0.642565\pi\) |
0.723428 | + | 0.690400i | \(0.242565\pi\) | |||||||
\(930\) | −13.5517 | + | 9.84586i | −0.444377 | + | 0.322858i | ||||
\(931\) | −2.14824 | − | 6.61160i | −0.0704057 | − | 0.216687i | ||||
\(932\) | 5.68697 | − | 17.5027i | 0.186283 | − | 0.573319i | ||||
\(933\) | −25.4876 | − | 18.5178i | −0.834427 | − | 0.606246i | ||||
\(934\) | −11.9153 | −0.389880 | ||||||||
\(935\) | 22.4003 | − | 20.1520i | 0.732567 | − | 0.659040i | ||||
\(936\) | 0.0920709 | 0.00300943 | ||||||||
\(937\) | −29.9216 | − | 21.7393i | −0.977497 | − | 0.710193i | −0.0203492 | − | 0.999793i | \(-0.506478\pi\) |
−0.957148 | + | 0.289600i | \(0.906478\pi\) | |||||||
\(938\) | 0.398583 | − | 1.22671i | 0.0130142 | − | 0.0400536i | ||||
\(939\) | −0.123828 | − | 0.381104i | −0.00404098 | − | 0.0124369i | ||||
\(940\) | −16.7897 | + | 12.1984i | −0.547619 | + | 0.397868i | ||||
\(941\) | −42.7770 | + | 31.0793i | −1.39449 | + | 1.01316i | −0.399135 | + | 0.916892i | \(0.630690\pi\) |
−0.995356 | + | 0.0962648i | \(0.969310\pi\) | |||||||
\(942\) | −11.9275 | − | 36.7092i | −0.388620 | − | 1.19605i | ||||
\(943\) | 2.82597 | − | 8.69745i | 0.0920263 | − | 0.283228i | ||||
\(944\) | 0.162791 | + | 0.118275i | 0.00529841 | + | 0.00384952i | ||||
\(945\) | 3.38065 | 0.109973 | ||||||||
\(946\) | −7.64686 | − | 17.1949i | −0.248621 | − | 0.559054i | ||||
\(947\) | 21.5968 | 0.701803 | 0.350902 | − | 0.936412i | \(-0.385875\pi\) | ||||
0.350902 | + | 0.936412i | \(0.385875\pi\) | |||||||
\(948\) | −7.34919 | − | 5.33950i | −0.238691 | − | 0.173419i | ||||
\(949\) | −4.12544 | + | 12.6968i | −0.133917 | + | 0.412155i | ||||
\(950\) | −1.23141 | − | 3.78988i | −0.0399522 | − | 0.122960i | ||||
\(951\) | 21.2690 | − | 15.4528i | 0.689693 | − | 0.501091i | ||||
\(952\) | 0.538025 | − | 0.390898i | 0.0174375 | − | 0.0126691i | ||||
\(953\) | −8.23761 | − | 25.3528i | −0.266842 | − | 0.821256i | −0.991263 | − | 0.131898i | \(-0.957893\pi\) |
0.724421 | − | 0.689358i | \(-0.242107\pi\) | |||||||
\(954\) | −0.0292293 | + | 0.0899586i | −0.000946334 | + | 0.00291252i | ||||
\(955\) | 40.0080 | + | 29.0675i | 1.29463 | + | 0.940603i | ||||
\(956\) | 5.74415 | 0.185779 | ||||||||
\(957\) | −17.7621 | − | 10.2651i | −0.574168 | − | 0.331823i | ||||
\(958\) | 20.7742 | 0.671182 | ||||||||
\(959\) | −2.17134 | − | 1.57757i | −0.0701161 | − | 0.0509423i | ||||
\(960\) | −1.62118 | + | 4.98947i | −0.0523233 | + | 0.161034i | ||||
\(961\) | −6.42920 | − | 19.7870i | −0.207393 | − | 0.638291i | ||||
\(962\) | −1.23558 | + | 0.897705i | −0.0398368 | + | 0.0289432i | ||||
\(963\) | −0.165070 | + | 0.119930i | −0.00531930 | + | 0.00386470i | ||||
\(964\) | 4.71995 | + | 14.5265i | 0.152019 | + | 0.467867i | ||||
\(965\) | −16.6745 | + | 51.3188i | −0.536771 | + | 1.65201i | ||||
\(966\) | −0.495308 | − | 0.359863i | −0.0159363 | − | 0.0115784i | ||||
\(967\) | −32.4852 | −1.04465 | −0.522326 | − | 0.852746i | \(-0.674936\pi\) | ||||
−0.522326 | + | 0.852746i | \(0.674936\pi\) | |||||||
\(968\) | −10.7616 | + | 2.27785i | −0.345890 | + | 0.0732127i | ||||
\(969\) | 5.30457 | 0.170407 | ||||||||
\(970\) | −10.2453 | − | 7.44362i | −0.328956 | − | 0.239000i | ||||
\(971\) | −9.66085 | + | 29.7330i | −0.310031 | + | 0.954178i | 0.667720 | + | 0.744412i | \(0.267270\pi\) |
−0.977752 | + | 0.209766i | \(0.932730\pi\) | |||||||
\(972\) | −0.203076 | − | 0.625003i | −0.00651366 | − | 0.0200470i | ||||
\(973\) | −2.04947 | + | 1.48903i | −0.0657029 | + | 0.0477360i | ||||
\(974\) | 7.36978 | − | 5.35446i | 0.236143 | − | 0.171568i | ||||
\(975\) | −3.13747 | − | 9.65614i | −0.100479 | − | 0.309244i | ||||
\(976\) | 3.49220 | − | 10.7479i | 0.111783 | − | 0.344032i | ||||
\(977\) | 11.2967 | + | 8.20752i | 0.361413 | + | 0.262582i | 0.753641 | − | 0.657286i | \(-0.228296\pi\) |
−0.392228 | + | 0.919868i | \(0.628296\pi\) | |||||||
\(978\) | 31.0882 | 0.994090 | ||||||||
\(979\) | 18.1490 | + | 10.4887i | 0.580046 | + | 0.335220i | ||||
\(980\) | 20.8381 | 0.665648 | ||||||||
\(981\) | −0.952907 | − | 0.692328i | −0.0304240 | − | 0.0221043i | ||||
\(982\) | −4.33395 | + | 13.3385i | −0.138302 | + | 0.425649i | ||||
\(983\) | −15.5996 | − | 48.0105i | −0.497549 | − | 1.53130i | −0.812947 | − | 0.582338i | \(-0.802138\pi\) |
0.315398 | − | 0.948959i | \(-0.397862\pi\) | |||||||
\(984\) | −8.12255 | + | 5.90138i | −0.258937 | + | 0.188129i | ||||
\(985\) | 30.0816 | − | 21.8556i | 0.958480 | − | 0.696377i | ||||
\(986\) | −3.30998 | − | 10.1871i | −0.105411 | − | 0.324423i | ||||
\(987\) | −0.821648 | + | 2.52877i | −0.0261533 | + | 0.0804917i | ||||
\(988\) | 1.17773 | + | 0.855668i | 0.0374685 | + | 0.0272224i | ||||
\(989\) | −9.04548 | −0.287630 | ||||||||
\(990\) | 0.255497 | + | 0.574515i | 0.00812023 | + | 0.0182593i | ||||
\(991\) | −17.5153 | −0.556392 | −0.278196 | − | 0.960524i | \(-0.589736\pi\) | ||||
−0.278196 | + | 0.960524i | \(0.589736\pi\) | |||||||
\(992\) | 2.58312 | + | 1.87675i | 0.0820141 | + | 0.0595868i | ||||
\(993\) | −8.66444 | + | 26.6664i | −0.274958 | + | 0.846233i | ||||
\(994\) | −0.232270 | − | 0.714853i | −0.00736715 | − | 0.0226737i | ||||
\(995\) | 54.0846 | − | 39.2948i | 1.71460 | − | 1.24573i | ||||
\(996\) | −7.31915 | + | 5.31768i | −0.231916 | + | 0.168497i | ||||
\(997\) | −12.1545 | − | 37.4076i | −0.384936 | − | 1.18471i | −0.936527 | − | 0.350596i | \(-0.885979\pi\) |
0.551591 | − | 0.834115i | \(-0.314021\pi\) | |||||||
\(998\) | −10.7148 | + | 32.9767i | −0.339170 | + | 1.04386i | ||||
\(999\) | 4.36259 | + | 3.16961i | 0.138026 | + | 0.100282i |
(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 | 418.2.f.g.191.4 | ✓ | 16 | |
11.3 | even | 5 | inner | 418.2.f.g.267.4 | yes | 16 | |
11.5 | even | 5 | 4598.2.a.bw.1.7 | 8 | |||
11.6 | odd | 10 | 4598.2.a.bz.1.7 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.f.g.191.4 | ✓ | 16 | 1.1 | even | 1 | trivial | |
418.2.f.g.267.4 | yes | 16 | 11.3 | even | 5 | inner | |
4598.2.a.bw.1.7 | 8 | 11.5 | even | 5 | |||
4598.2.a.bz.1.7 | 8 | 11.6 | odd | 10 |