Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 557.3 | ||
Character | \(\chi\) | \(=\) | 666.557 |
Dual form | 666.2.bs.a.611.3 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0871557 | + | 0.996195i | −0.0616284 | + | 0.704416i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.984808 | − | 0.173648i | −0.492404 | − | 0.0868241i | ||||
\(5\) | 2.82596 | + | 1.31777i | 1.26381 | + | 0.589324i | 0.934857 | − | 0.355023i | \(-0.115527\pi\) |
0.328951 | + | 0.944347i | \(0.393305\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.97276 | − | 0.718026i | 0.745634 | − | 0.271388i | 0.0588664 | − | 0.998266i | \(-0.481251\pi\) |
0.686767 | + | 0.726877i | \(0.259029\pi\) | |||||||
\(8\) | 0.258819 | − | 0.965926i | 0.0915064 | − | 0.341506i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.55905 | + | 2.70036i | −0.493015 | + | 0.853928i | ||||
\(11\) | 1.33922 | + | 2.31960i | 0.403791 | + | 0.699387i | 0.994180 | − | 0.107732i | \(-0.0343590\pi\) |
−0.590389 | + | 0.807119i | \(0.701026\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.527495 | − | 0.753341i | −0.146301 | − | 0.208939i | 0.739313 | − | 0.673362i | \(-0.235151\pi\) |
−0.885613 | + | 0.464423i | \(0.846262\pi\) | |||||||
\(14\) | 0.543357 | + | 2.02783i | 0.145218 | + | 0.541962i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | 2.87989 | − | 4.11292i | 0.698477 | − | 0.997528i | −0.300565 | − | 0.953761i | \(-0.597175\pi\) |
0.999042 | − | 0.0437671i | \(-0.0139359\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.92670 | + | 0.256053i | −0.671432 | + | 0.0587427i | −0.417773 | − | 0.908551i | \(-0.637189\pi\) |
−0.253658 | + | 0.967294i | \(0.581634\pi\) | |||||||
\(20\) | −2.55420 | − | 1.78847i | −0.571137 | − | 0.399914i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.42750 | + | 1.13196i | −0.517544 | + | 0.241335i | ||||
\(23\) | 2.70753 | − | 0.725480i | 0.564558 | − | 0.151273i | 0.0347586 | − | 0.999396i | \(-0.488934\pi\) |
0.529800 | + | 0.848123i | \(0.322267\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.03561 | + | 3.61770i | 0.607122 | + | 0.723540i | ||||
\(26\) | 0.796448 | − | 0.459830i | 0.156196 | − | 0.0901800i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.06747 | + | 0.364552i | −0.390716 | + | 0.0688938i | ||||
\(29\) | 4.95425 | + | 1.32749i | 0.919981 | + | 0.246508i | 0.687577 | − | 0.726111i | \(-0.258674\pi\) |
0.232404 | + | 0.972619i | \(0.425341\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.88370 | − | 1.88370i | −0.338323 | − | 0.338323i | 0.517413 | − | 0.855736i | \(-0.326895\pi\) |
−0.855736 | + | 0.517413i | \(0.826895\pi\) | |||||||
\(32\) | −0.422618 | + | 0.906308i | −0.0747091 | + | 0.160214i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.84627 | + | 3.22740i | 0.659629 | + | 0.553494i | ||||
\(35\) | 6.52114 | + | 0.570526i | 1.10227 | + | 0.0964365i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.40496 | + | 5.91828i | −0.230974 | + | 0.972960i | ||||
\(38\) | − | 2.93788i | − | 0.476587i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.00428 | − | 2.38861i | 0.316904 | − | 0.377672i | ||||
\(41\) | 0.366974 | − | 2.08121i | 0.0573117 | − | 0.325031i | −0.942650 | − | 0.333783i | \(-0.891675\pi\) |
0.999962 | + | 0.00875197i | \(0.00278587\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.00144 | + | 6.00144i | −0.915211 | + | 0.915211i | −0.996676 | − | 0.0814648i | \(-0.974040\pi\) |
0.0814648 | + | 0.996676i | \(0.474040\pi\) | |||||||
\(44\) | −0.916083 | − | 2.51692i | −0.138105 | − | 0.379439i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.486742 | + | 2.76045i | 0.0717662 | + | 0.407007i | ||||
\(47\) | −5.03071 | − | 2.90448i | −0.733805 | − | 0.423662i | 0.0860078 | − | 0.996294i | \(-0.472589\pi\) |
−0.819812 | + | 0.572632i | \(0.805922\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.98609 | + | 1.66652i | −0.283727 | + | 0.238075i | ||||
\(50\) | −3.86850 | + | 2.70876i | −0.547089 | + | 0.383076i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.388665 | + | 0.833494i | 0.0538981 | + | 0.115585i | ||||
\(53\) | −2.29375 | + | 6.30203i | −0.315071 | + | 0.865650i | 0.676542 | + | 0.736404i | \(0.263478\pi\) |
−0.991613 | + | 0.129246i | \(0.958744\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.727896 | + | 8.31989i | 0.0981495 | + | 1.12185i | ||||
\(56\) | −0.182972 | − | 2.09138i | −0.0244507 | − | 0.279472i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.75423 | + | 4.81970i | −0.230341 | + | 0.632857i | ||||
\(59\) | 5.91334 | + | 12.6812i | 0.769851 | + | 1.65095i | 0.759071 | + | 0.651008i | \(0.225654\pi\) |
0.0107801 | + | 0.999942i | \(0.496569\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.22818 | − | 3.66081i | 0.669400 | − | 0.468719i | −0.188813 | − | 0.982013i | \(-0.560464\pi\) |
0.858213 | + | 0.513294i | \(0.171575\pi\) | |||||||
\(62\) | 2.04071 | − | 1.71236i | 0.259170 | − | 0.217470i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | −0.497952 | − | 2.82403i | −0.0617634 | − | 0.350278i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.91868 | − | 8.01901i | −0.356574 | − | 0.979678i | −0.980209 | − | 0.197963i | \(-0.936567\pi\) |
0.623636 | − | 0.781715i | \(-0.285655\pi\) | |||||||
\(68\) | −3.55034 | + | 3.55034i | −0.430542 | + | 0.430542i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.13671 | + | 6.44660i | −0.135863 | + | 0.770516i | ||||
\(71\) | −3.95008 | + | 4.70753i | −0.468789 | + | 0.558681i | −0.947692 | − | 0.319187i | \(-0.896590\pi\) |
0.478903 | + | 0.877868i | \(0.341035\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 9.01662i | − | 1.05532i | −0.849457 | − | 0.527658i | \(-0.823070\pi\) | ||
0.849457 | − | 0.527658i | \(-0.176930\pi\) | |||||||
\(74\) | −5.77331 | − | 1.91543i | −0.671134 | − | 0.222664i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.92670 | + | 0.256053i | 0.335716 | + | 0.0293713i | ||||
\(77\) | 4.30750 | + | 3.61442i | 0.490886 | + | 0.411902i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.222674 | − | 0.477526i | 0.0250528 | − | 0.0537259i | −0.893383 | − | 0.449296i | \(-0.851675\pi\) |
0.918436 | + | 0.395570i | \(0.129453\pi\) | |||||||
\(80\) | 2.20483 | + | 2.20483i | 0.246508 | + | 0.246508i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.04131 | + | 0.546967i | 0.225425 | + | 0.0604024i | ||||
\(83\) | 3.14123 | − | 0.553883i | 0.344795 | − | 0.0607966i | 0.00143059 | − | 0.999999i | \(-0.499545\pi\) |
0.343364 | + | 0.939202i | \(0.388434\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 13.5583 | − | 7.82791i | 1.47061 | − | 0.849056i | ||||
\(86\) | −5.45554 | − | 6.50167i | −0.588287 | − | 0.701093i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.58718 | − | 0.693233i | 0.275794 | − | 0.0738989i | ||||
\(89\) | −2.30861 | + | 1.07652i | −0.244712 | + | 0.114111i | −0.541105 | − | 0.840955i | \(-0.681994\pi\) |
0.296393 | + | 0.955066i | \(0.404216\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.58154 | − | 1.10741i | −0.165790 | − | 0.116088i | ||||
\(92\) | −2.79237 | + | 0.244301i | −0.291125 | + | 0.0254701i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.33189 | − | 4.75842i | 0.343658 | − | 0.490794i | ||||
\(95\) | −8.60817 | − | 3.13312i | −0.883179 | − | 0.321451i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.13983 | − | 11.7180i | −0.318801 | − | 1.18978i | −0.920398 | − | 0.390982i | \(-0.872135\pi\) |
0.601597 | − | 0.798800i | \(-0.294531\pi\) | |||||||
\(98\) | −1.48708 | − | 2.12378i | −0.150218 | − | 0.214534i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.36129 | − | 4.08987i | −0.236129 | − | 0.408987i | ||||
\(101\) | 8.25498 | − | 14.2980i | 0.821401 | − | 1.42271i | −0.0832381 | − | 0.996530i | \(-0.526526\pi\) |
0.904639 | − | 0.426179i | \(-0.140140\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.49274 | + | 5.57097i | −0.147084 | + | 0.548924i | 0.852570 | + | 0.522613i | \(0.175043\pi\) |
−0.999654 | + | 0.0263109i | \(0.991624\pi\) | |||||||
\(104\) | −0.864197 | + | 0.314542i | −0.0847415 | + | 0.0308434i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.07813 | − | 2.83428i | −0.590360 | − | 0.275290i | ||||
\(107\) | −19.4213 | − | 3.42449i | −1.87752 | − | 0.331058i | −0.886285 | − | 0.463141i | \(-0.846722\pi\) |
−0.991239 | + | 0.132083i | \(0.957833\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.366026 | − | 4.18369i | 0.0350589 | − | 0.400725i | −0.958308 | − | 0.285737i | \(-0.907762\pi\) |
0.993367 | − | 0.114988i | \(-0.0366829\pi\) | |||||||
\(110\) | −8.35167 | −0.796301 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.09937 | 0.198372 | ||||||||
\(113\) | −0.703066 | + | 8.03608i | −0.0661389 | + | 0.755971i | 0.888630 | + | 0.458624i | \(0.151657\pi\) |
−0.954769 | + | 0.297347i | \(0.903898\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.60738 | + | 1.51771i | 0.802642 | + | 0.141527i | ||||
\(116\) | −4.64847 | − | 2.16762i | −0.431599 | − | 0.201258i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −13.1483 | + | 4.78560i | −1.21040 | + | 0.440550i | ||||
\(119\) | 2.72816 | − | 10.1816i | 0.250090 | − | 0.933349i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.91296 | − | 3.31335i | 0.173906 | − | 0.301213i | ||||
\(122\) | 3.19121 | + | 5.52735i | 0.288919 | + | 0.500422i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.52798 | + | 2.18219i | 0.137217 | + | 0.195966i | ||||
\(125\) | −0.223892 | − | 0.835578i | −0.0200256 | − | 0.0747364i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.16274 | + | 0.787173i | 0.191912 | + | 0.0698503i | 0.436188 | − | 0.899855i | \(-0.356328\pi\) |
−0.244276 | + | 0.969706i | \(0.578550\pi\) | |||||||
\(128\) | 0.573576 | − | 0.819152i | 0.0506975 | − | 0.0724035i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.85668 | − | 0.249927i | 0.250547 | − | 0.0219201i | ||||
\(131\) | −5.84384 | − | 4.09190i | −0.510578 | − | 0.357511i | 0.289721 | − | 0.957111i | \(-0.406437\pi\) |
−0.800300 | + | 0.599600i | \(0.795326\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.58983 | + | 2.60658i | −0.484700 | + | 0.226019i | ||||
\(134\) | 8.24288 | − | 2.20867i | 0.712076 | − | 0.190800i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.22740 | − | 3.84627i | −0.276747 | − | 0.329815i | ||||
\(137\) | 9.65245 | − | 5.57285i | 0.824665 | − | 0.476120i | −0.0273576 | − | 0.999626i | \(-0.508709\pi\) |
0.852022 | + | 0.523505i | \(0.175376\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −19.7613 | + | 3.48445i | −1.67613 | + | 0.295547i | −0.929261 | − | 0.369423i | \(-0.879555\pi\) |
−0.746870 | + | 0.664970i | \(0.768444\pi\) | |||||||
\(140\) | −6.32300 | − | 1.69424i | −0.534391 | − | 0.143190i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.34534 | − | 4.34534i | −0.364653 | − | 0.364653i | ||||
\(143\) | 1.04102 | − | 2.23247i | 0.0870543 | − | 0.186689i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 12.2512 | + | 10.2800i | 1.01741 | + | 0.853705i | ||||
\(146\) | 8.98231 | + | 0.785850i | 0.743381 | + | 0.0650374i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.41132 | − | 5.58440i | 0.198209 | − | 0.459035i | ||||
\(149\) | 21.9435i | 1.79768i | 0.438274 | + | 0.898841i | \(0.355590\pi\) | ||||
−0.438274 | + | 0.898841i | \(0.644410\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.27082 | − | 8.66503i | 0.591691 | − | 0.705150i | −0.384239 | − | 0.923234i | \(-0.625536\pi\) |
0.975930 | + | 0.218084i | \(0.0699806\pi\) | |||||||
\(152\) | −0.510158 | + | 2.89325i | −0.0413793 | + | 0.234674i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.97609 | + | 3.97609i | −0.320403 | + | 0.320403i | ||||
\(155\) | −2.84099 | − | 7.80555i | −0.228194 | − | 0.626957i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.86195 | − | 21.9022i | −0.308217 | − | 1.74799i | −0.607960 | − | 0.793968i | \(-0.708012\pi\) |
0.299742 | − | 0.954020i | \(-0.403099\pi\) | |||||||
\(158\) | 0.456302 | + | 0.263446i | 0.0363014 | + | 0.0209586i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.38861 | + | 2.00428i | −0.188836 | + | 0.158452i | ||||
\(161\) | 4.82039 | − | 3.37527i | 0.379900 | − | 0.266009i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.50039 | − | 16.0846i | −0.587476 | − | 1.25985i | −0.945344 | − | 0.326074i | \(-0.894274\pi\) |
0.357868 | − | 0.933772i | \(-0.383504\pi\) | |||||||
\(164\) | −0.722798 | + | 1.98587i | −0.0564410 | + | 0.155070i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.278000 | + | 3.17755i | 0.0215770 | + | 0.246626i | ||||
\(167\) | −1.26304 | − | 14.4366i | −0.0977370 | − | 1.11714i | −0.873734 | − | 0.486403i | \(-0.838309\pi\) |
0.775997 | − | 0.630736i | \(-0.217247\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.15699 | − | 11.4212i | 0.319768 | − | 0.878557i | ||||
\(170\) | 6.61643 | + | 14.1890i | 0.507457 | + | 1.08825i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.95241 | − | 4.86813i | 0.530116 | − | 0.371191i | ||||
\(173\) | 5.96864 | − | 5.00828i | 0.453787 | − | 0.380773i | −0.387052 | − | 0.922058i | \(-0.626507\pi\) |
0.840839 | + | 0.541285i | \(0.182062\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 8.58614 | + | 4.95721i | 0.649051 | + | 0.374730i | ||||
\(176\) | 0.465107 | + | 2.63775i | 0.0350588 | + | 0.198828i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.871218 | − | 2.39365i | −0.0653005 | − | 0.179412i | ||||
\(179\) | −8.58212 | + | 8.58212i | −0.641458 | + | 0.641458i | −0.950914 | − | 0.309456i | \(-0.899853\pi\) |
0.309456 | + | 0.950914i | \(0.399853\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.181925 | + | 1.03175i | −0.0135224 | + | 0.0766892i | −0.990822 | − | 0.135172i | \(-0.956841\pi\) |
0.977300 | + | 0.211861i | \(0.0679524\pi\) | |||||||
\(182\) | 1.24103 | − | 1.47900i | 0.0919914 | − | 0.109631i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 2.80304i | − | 0.206643i | ||||||
\(185\) | −11.7693 | + | 14.8734i | −0.865296 | + | 1.09352i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.3972 | + | 1.17210i | 0.979697 | + | 0.0857124i | ||||
\(188\) | 4.44992 | + | 3.73393i | 0.324544 | + | 0.272325i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.87145 | − | 8.30234i | 0.280864 | − | 0.602315i | ||||
\(191\) | −16.2499 | − | 16.2499i | −1.17580 | − | 1.17580i | −0.980803 | − | 0.194999i | \(-0.937530\pi\) |
−0.194999 | − | 0.980803i | \(-0.562470\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.1485 | + | 2.71928i | 0.730505 | + | 0.195738i | 0.604854 | − | 0.796336i | \(-0.293231\pi\) |
0.125651 | + | 0.992075i | \(0.459898\pi\) | |||||||
\(194\) | 11.9471 | − | 2.10659i | 0.857749 | − | 0.151244i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.24530 | − | 1.29633i | 0.160379 | − | 0.0925947i | ||||
\(197\) | 16.0720 | + | 19.1539i | 1.14508 | + | 1.36466i | 0.920755 | + | 0.390142i | \(0.127574\pi\) |
0.224328 | + | 0.974514i | \(0.427981\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.892139 | + | 0.239048i | −0.0632421 | + | 0.0169457i | −0.290301 | − | 0.956935i | \(-0.593756\pi\) |
0.227059 | + | 0.973881i | \(0.427089\pi\) | |||||||
\(200\) | 4.28010 | − | 1.99584i | 0.302649 | − | 0.141128i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 13.5242 | + | 9.46972i | 0.951557 | + | 0.666287i | ||||
\(203\) | 10.7267 | − | 0.938466i | 0.752868 | − | 0.0658674i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.77961 | − | 5.39784i | 0.263979 | − | 0.377002i | ||||
\(206\) | −5.41967 | − | 1.97260i | −0.377606 | − | 0.137437i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.238025 | − | 0.888323i | −0.0165041 | − | 0.0615941i | ||||
\(209\) | −4.51345 | − | 6.44588i | −0.312202 | − | 0.445871i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.85635 | + | 15.3396i | 0.609696 | + | 1.05602i | 0.991290 | + | 0.131695i | \(0.0420419\pi\) |
−0.381594 | + | 0.924330i | \(0.624625\pi\) | |||||||
\(212\) | 3.35324 | − | 5.80798i | 0.230301 | − | 0.398894i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.10413 | − | 19.0489i | 0.348911 | − | 1.30215i | ||||
\(215\) | −24.8684 | + | 9.05134i | −1.69601 | + | 0.617296i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.06864 | − | 2.36355i | −0.344082 | − | 0.160448i | ||||
\(218\) | 4.13587 | + | 0.729266i | 0.280117 | + | 0.0493921i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.727896 | − | 8.31989i | 0.0490748 | − | 0.560927i | ||||
\(221\) | −4.61756 | −0.310610 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.46993 | 0.567188 | 0.283594 | − | 0.958944i | \(-0.408473\pi\) | ||||
0.283594 | + | 0.958944i | \(0.408473\pi\) | |||||||
\(224\) | −0.182972 | + | 2.09138i | −0.0122253 | + | 0.139736i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.94423 | − | 1.40078i | −0.528442 | − | 0.0931786i | ||||
\(227\) | 7.92901 | + | 3.69736i | 0.526267 | + | 0.245402i | 0.667547 | − | 0.744567i | \(-0.267344\pi\) |
−0.141281 | + | 0.989970i | \(0.545122\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.8633 | + | 7.59364i | −1.37869 | + | 0.501802i | −0.921780 | − | 0.387712i | \(-0.873265\pi\) |
−0.456908 | + | 0.889514i | \(0.651043\pi\) | |||||||
\(230\) | −2.26212 | + | 8.44235i | −0.149160 | + | 0.556672i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.56451 | − | 4.44186i | 0.168368 | − | 0.291622i | ||||
\(233\) | 3.82433 | + | 6.62394i | 0.250540 | + | 0.433949i | 0.963675 | − | 0.267079i | \(-0.0860583\pi\) |
−0.713134 | + | 0.701027i | \(0.752725\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.3892 | − | 14.8373i | −0.677714 | − | 0.967876i | ||||
\(236\) | −3.62143 | − | 13.5154i | −0.235735 | − | 0.879776i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.90512 | + | 3.60517i | 0.642054 | + | 0.233688i | ||||
\(239\) | 8.37474 | − | 11.9604i | 0.541717 | − | 0.773652i | −0.451205 | − | 0.892420i | \(-0.649006\pi\) |
0.992922 | + | 0.118768i | \(0.0378946\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −26.4890 | + | 2.31749i | −1.70631 | + | 0.149283i | −0.898152 | − | 0.439684i | \(-0.855090\pi\) |
−0.808157 | + | 0.588967i | \(0.799535\pi\) | |||||||
\(242\) | 3.13401 | + | 2.19446i | 0.201462 | + | 0.141065i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.78445 | + | 2.69733i | −0.370311 | + | 0.172679i | ||||
\(245\) | −7.80869 | + | 2.09233i | −0.498879 | + | 0.133674i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.73672 | + | 2.06974i | 0.110505 | + | 0.131694i | ||||
\(248\) | −2.30706 | + | 1.33198i | −0.146498 | + | 0.0845808i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.851912 | − | 0.150215i | 0.0538796 | − | 0.00950044i | ||||
\(251\) | −20.4793 | − | 5.48741i | −1.29264 | − | 0.346363i | −0.453979 | − | 0.891012i | \(-0.649996\pi\) |
−0.838664 | + | 0.544650i | \(0.816663\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.30881 | + | 5.30881i | 0.333762 | + | 0.333762i | ||||
\(254\) | −0.972672 | + | 2.08590i | −0.0610309 | + | 0.130881i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 9.77498 | + | 0.855200i | 0.609747 | + | 0.0533459i | 0.387847 | − | 0.921724i | \(-0.373219\pi\) |
0.221899 | + | 0.975070i | \(0.428774\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.47783 | + | 12.6842i | 0.0918278 | + | 0.788155i | ||||
\(260\) | 2.86759i | 0.177841i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 4.58565 | − | 5.46497i | 0.283303 | − | 0.337627i | ||||
\(263\) | 2.26517 | − | 12.8464i | 0.139676 | − | 0.792142i | −0.831813 | − | 0.555057i | \(-0.812697\pi\) |
0.971489 | − | 0.237086i | \(-0.0761923\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.7867 | + | 14.7867i | −0.908337 | + | 0.908337i | ||||
\(266\) | −2.10948 | − | 5.79574i | −0.129340 | − | 0.355360i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.48185 | + | 8.40401i | 0.0905186 | + | 0.513357i | ||||
\(269\) | 9.84514 | + | 5.68409i | 0.600269 | + | 0.346565i | 0.769147 | − | 0.639072i | \(-0.220681\pi\) |
−0.168879 | + | 0.985637i | \(0.554015\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −18.5306 | + | 15.5490i | −1.12566 | + | 0.944537i | −0.998876 | − | 0.0473935i | \(-0.984909\pi\) |
−0.126780 | + | 0.991931i | \(0.540464\pi\) | |||||||
\(272\) | 4.11292 | − | 2.87989i | 0.249382 | − | 0.174619i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.71037 | + | 10.1014i | 0.284564 | + | 0.610250i | ||||
\(275\) | −4.32626 | + | 11.8863i | −0.260884 | + | 0.716772i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.0302720 | − | 0.346010i | −0.00181887 | − | 0.0207898i | 0.995231 | − | 0.0975459i | \(-0.0310993\pi\) |
−0.997050 | + | 0.0767561i | \(0.975544\pi\) | |||||||
\(278\) | −1.74888 | − | 19.9898i | −0.104891 | − | 1.19891i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.23888 | − | 6.15127i | 0.133799 | − | 0.367609i | ||||
\(281\) | −0.395455 | − | 0.848057i | −0.0235909 | − | 0.0505908i | 0.894159 | − | 0.447749i | \(-0.147774\pi\) |
−0.917750 | + | 0.397158i | \(0.869996\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.50619 | + | 5.95610i | −0.505641 | + | 0.354053i | −0.798395 | − | 0.602134i | \(-0.794317\pi\) |
0.292754 | + | 0.956188i | \(0.405428\pi\) | |||||||
\(284\) | 4.70753 | − | 3.95008i | 0.279340 | − | 0.234394i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.13324 | + | 1.23163i | 0.126141 | + | 0.0728278i | ||||
\(287\) | −0.770414 | − | 4.36923i | −0.0454761 | − | 0.257908i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.80794 | − | 7.71475i | −0.165173 | − | 0.453809i | ||||
\(290\) | −11.3086 | + | 11.3086i | −0.664065 | + | 0.664065i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.56572 | + | 8.87964i | −0.0916268 | + | 0.519641i | ||||
\(293\) | −10.9767 | + | 13.0815i | −0.641266 | + | 0.764231i | −0.984570 | − | 0.174993i | \(-0.944010\pi\) |
0.343303 | + | 0.939225i | \(0.388454\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 43.6290i | 2.54018i | ||||||||
\(296\) | 5.35299 | + | 2.88885i | 0.311136 | + | 0.167911i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −21.8600 | − | 1.91250i | −1.26632 | − | 0.110788i | ||||
\(299\) | −1.97474 | − | 1.65700i | −0.114202 | − | 0.0958270i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.53022 | + | 16.1486i | −0.434035 | + | 0.930790i | ||||
\(302\) | 7.99836 | + | 7.99836i | 0.460254 | + | 0.460254i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.83778 | − | 0.760380i | −0.162758 | − | 0.0436108i | ||||
\(305\) | 19.5987 | − | 3.45579i | 1.12222 | − | 0.197878i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 15.4922 | − | 8.94445i | 0.884189 | − | 0.510487i | 0.0121515 | − | 0.999926i | \(-0.496132\pi\) |
0.872037 | + | 0.489440i | \(0.162799\pi\) | |||||||
\(308\) | −3.61442 | − | 4.30750i | −0.205951 | − | 0.245443i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 8.02346 | − | 2.14988i | 0.455702 | − | 0.122105i | ||||
\(311\) | 8.92073 | − | 4.15980i | 0.505848 | − | 0.235881i | −0.152904 | − | 0.988241i | \(-0.548862\pi\) |
0.658752 | + | 0.752360i | \(0.271085\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.60506 | − | 3.22450i | −0.260293 | − | 0.182259i | 0.436144 | − | 0.899877i | \(-0.356344\pi\) |
−0.696437 | + | 0.717618i | \(0.745233\pi\) | |||||||
\(314\) | 22.1555 | − | 1.93835i | 1.25031 | − | 0.109388i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.302213 | + | 0.431605i | −0.0170008 | + | 0.0242797i | ||||
\(317\) | −30.0782 | − | 10.9476i | −1.68936 | − | 0.614878i | −0.694817 | − | 0.719186i | \(-0.744515\pi\) |
−0.994545 | + | 0.104309i | \(0.966737\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.55560 | + | 13.2697i | 0.199076 | + | 0.742960i | ||||
\(320\) | −1.78847 | − | 2.55420i | −0.0999786 | − | 0.142784i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.94230 | + | 5.09622i | 0.163968 | + | 0.284001i | ||||
\(323\) | −7.37547 | + | 12.7747i | −0.410382 | + | 0.710803i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.12409 | − | 4.19517i | 0.0623534 | − | 0.232706i | ||||
\(326\) | 16.6771 | − | 6.06998i | 0.923661 | − | 0.336185i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.91532 | − | 0.893127i | −0.105756 | − | 0.0493147i | ||||
\(329\) | −12.0099 | − | 2.11767i | −0.662126 | − | 0.116751i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.753073 | − | 8.60767i | 0.0413926 | − | 0.473120i | −0.947004 | − | 0.321223i | \(-0.895906\pi\) |
0.988396 | − | 0.151897i | \(-0.0485383\pi\) | |||||||
\(332\) | −3.18969 | −0.175057 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 14.4918 | 0.792954 | ||||||||
\(335\) | 2.31911 | − | 26.5076i | 0.126707 | − | 1.44826i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 33.5843 | + | 5.92181i | 1.82945 | + | 0.322582i | 0.979060 | − | 0.203570i | \(-0.0652544\pi\) |
0.850391 | + | 0.526151i | \(0.176366\pi\) | |||||||
\(338\) | 11.0155 | + | 5.13660i | 0.599163 | + | 0.279394i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −14.7117 | + | 5.35461i | −0.797852 | + | 0.290394i | ||||
\(341\) | 1.84674 | − | 6.89214i | 0.100007 | − | 0.373230i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0693 | + | 17.4405i | −0.543689 | + | 0.941696i | ||||
\(344\) | 4.24366 | + | 7.35024i | 0.228803 | + | 0.396298i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.46902 | + | 6.38243i | 0.240256 | + | 0.343121i | ||||
\(347\) | 0.541394 | + | 2.02051i | 0.0290635 | + | 0.108467i | 0.978934 | − | 0.204177i | \(-0.0654520\pi\) |
−0.949870 | + | 0.312644i | \(0.898785\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.20609 | + | 0.802950i | 0.118089 | + | 0.0429809i | 0.400389 | − | 0.916345i | \(-0.368875\pi\) |
−0.282300 | + | 0.959326i | \(0.591097\pi\) | |||||||
\(350\) | −5.68668 | + | 8.12141i | −0.303966 | + | 0.434108i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.66825 | + | 0.233442i | −0.142218 | + | 0.0124425i | ||||
\(353\) | 19.6609 | + | 13.7667i | 1.04645 | + | 0.732729i | 0.964547 | − | 0.263912i | \(-0.0850128\pi\) |
0.0818985 | + | 0.996641i | \(0.473902\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −17.3662 | + | 8.09800i | −0.921703 | + | 0.429797i | ||||
\(356\) | 2.46047 | − | 0.659282i | 0.130405 | − | 0.0349419i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −7.80148 | − | 9.29744i | −0.412321 | − | 0.491385i | ||||
\(359\) | 4.26996 | − | 2.46526i | 0.225360 | − | 0.130111i | −0.383070 | − | 0.923719i | \(-0.625133\pi\) |
0.608430 | + | 0.793608i | \(0.291800\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.2113 | + | 1.80053i | −0.537438 | + | 0.0947648i | ||||
\(362\) | −1.01197 | − | 0.271156i | −0.0531878 | − | 0.0142516i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.36521 | + | 1.36521i | 0.0715566 | + | 0.0715566i | ||||
\(365\) | 11.8818 | − | 25.4806i | 0.621922 | − | 1.33372i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.7810 | + | 10.7245i | 0.667164 | + | 0.559817i | 0.912224 | − | 0.409691i | \(-0.134363\pi\) |
−0.245061 | + | 0.969508i | \(0.578808\pi\) | |||||||
\(368\) | 2.79237 | + | 0.244301i | 0.145562 | + | 0.0127351i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −13.7911 | − | 13.0208i | −0.716964 | − | 0.676920i | ||||
\(371\) | 14.0794i | 0.730964i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.09324 | − | 4.87814i | 0.211940 | − | 0.252580i | −0.649593 | − | 0.760283i | \(-0.725061\pi\) |
0.861533 | + | 0.507702i | \(0.169505\pi\) | |||||||
\(374\) | −2.33528 | + | 13.2440i | −0.120754 | + | 0.684832i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.10756 | + | 4.10756i | −0.211831 | + | 0.211831i | ||||
\(377\) | −1.61329 | − | 4.43248i | −0.0830887 | − | 0.228284i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.18223 | + | 6.70474i | 0.0607269 | + | 0.344400i | 0.999999 | + | 0.00122683i | \(0.000390514\pi\) |
−0.939272 | + | 0.343173i | \(0.888498\pi\) | |||||||
\(380\) | 7.93333 | + | 4.58031i | 0.406971 | + | 0.234965i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 17.6044 | − | 14.7718i | 0.900717 | − | 0.755791i | ||||
\(383\) | −15.6041 | + | 10.9261i | −0.797335 | + | 0.558300i | −0.899731 | − | 0.436444i | \(-0.856238\pi\) |
0.102397 | + | 0.994744i | \(0.467349\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.40987 | + | 15.8905i | 0.377642 | + | 0.809856i | ||||
\(386\) | −3.59343 | + | 9.87288i | −0.182901 | + | 0.502516i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.05732 | + | 12.0852i | 0.0536772 | + | 0.613533i | ||||
\(389\) | −0.304271 | − | 3.47784i | −0.0154272 | − | 0.176333i | −0.999999 | − | 0.00135294i | \(-0.999569\pi\) |
0.984572 | − | 0.174980i | \(-0.0559862\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.81355 | − | 13.2251i | 0.243432 | − | 0.668824i | ||||
\(392\) | 1.09570 | + | 2.34974i | 0.0553413 | + | 0.118680i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −20.4817 | + | 14.3415i | −1.03186 | + | 0.722513i | ||||
\(395\) | 1.25854 | − | 1.05604i | 0.0633239 | − | 0.0531351i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 27.3753 | + | 15.8051i | 1.37393 | + | 0.793237i | 0.991420 | − | 0.130716i | \(-0.0417275\pi\) |
0.382507 | + | 0.923953i | \(0.375061\pi\) | |||||||
\(398\) | −0.160383 | − | 0.909579i | −0.00803929 | − | 0.0455931i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.61521 | + | 4.43776i | 0.0807607 | + | 0.221888i | ||||
\(401\) | −9.88686 | + | 9.88686i | −0.493726 | + | 0.493726i | −0.909478 | − | 0.415752i | \(-0.863518\pi\) |
0.415752 | + | 0.909478i | \(0.363518\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.425427 | + | 2.41271i | −0.0211920 | + | 0.120186i | ||||
\(404\) | −10.6124 | + | 12.6474i | −0.527986 | + | 0.629230i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.7677i | 0.534392i | ||||||||
\(407\) | −15.6096 | + | 4.66695i | −0.773740 | + | 0.231332i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −35.6100 | − | 3.11547i | −1.76080 | − | 0.154050i | −0.839618 | − | 0.543177i | \(-0.817221\pi\) |
−0.921184 | + | 0.389127i | \(0.872777\pi\) | |||||||
\(410\) | 5.04789 | + | 4.23568i | 0.249297 | + | 0.209185i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.43745 | − | 5.22712i | 0.120084 | − | 0.257522i | ||||
\(413\) | 20.7710 | + | 20.7710i | 1.02208 | + | 1.02208i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 9.60688 | + | 2.57416i | 0.471583 | + | 0.126360i | ||||
\(416\) | 0.905688 | − | 0.159697i | 0.0444050 | − | 0.00782980i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.81472 | − | 3.93448i | 0.333319 | − | 0.192442i | ||||
\(419\) | 3.78686 | + | 4.51301i | 0.185000 | + | 0.220475i | 0.850571 | − | 0.525860i | \(-0.176256\pi\) |
−0.665571 | + | 0.746335i | \(0.731812\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.7741 | − | 2.88690i | 0.525096 | − | 0.140699i | 0.0134732 | − | 0.999909i | \(-0.495711\pi\) |
0.511623 | + | 0.859210i | \(0.329045\pi\) | |||||||
\(422\) | −16.0532 | + | 7.48571i | −0.781455 | + | 0.364399i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.49363 | + | 3.84668i | 0.266794 | + | 0.186811i | ||||
\(425\) | 23.6215 | − | 2.06662i | 1.14581 | − | 0.100246i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.68539 | − | 10.9759i | 0.371922 | − | 0.531160i | ||||
\(428\) | 18.5315 | + | 6.74493i | 0.895756 | + | 0.326028i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.84948 | − | 25.5626i | −0.330311 | − | 1.23274i | ||||
\(431\) | −2.44990 | − | 3.49882i | −0.118007 | − | 0.168532i | 0.755803 | − | 0.654800i | \(-0.227247\pi\) |
−0.873810 | + | 0.486267i | \(0.838358\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.9074 | + | 18.8921i | 0.524174 | + | 0.907896i | 0.999604 | + | 0.0281424i | \(0.00895918\pi\) |
−0.475430 | + | 0.879754i | \(0.657707\pi\) | |||||||
\(434\) | 2.79632 | − | 4.84336i | 0.134227 | − | 0.232489i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.08696 | + | 4.05657i | −0.0520557 | + | 0.194275i | ||||
\(437\) | −7.73836 | + | 2.81653i | −0.370176 | + | 0.134733i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.84924 | + | 3.66016i | 0.374624 | + | 0.174690i | 0.600806 | − | 0.799395i | \(-0.294847\pi\) |
−0.226182 | + | 0.974085i | \(0.572624\pi\) | |||||||
\(440\) | 8.22479 | + | 1.45025i | 0.392102 | + | 0.0691381i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.402447 | − | 4.59998i | 0.0191424 | − | 0.218799i | ||||
\(443\) | 13.2524 | 0.629642 | 0.314821 | − | 0.949151i | \(-0.398056\pi\) | ||||
0.314821 | + | 0.949151i | \(0.398056\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.94265 | −0.376518 | ||||||||
\(446\) | −0.738203 | + | 8.43770i | −0.0349549 | + | 0.399536i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.06747 | − | 0.364552i | −0.0976790 | − | 0.0172234i | ||||
\(449\) | 8.00777 | + | 3.73409i | 0.377910 | + | 0.176222i | 0.602286 | − | 0.798280i | \(-0.294257\pi\) |
−0.224376 | + | 0.974503i | \(0.572034\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.31905 | − | 1.93598i | 0.250464 | − | 0.0911615i | ||||
\(452\) | 2.08784 | − | 7.79191i | 0.0982036 | − | 0.366501i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.37435 | + | 7.57659i | −0.205298 | + | 0.355587i | ||||
\(455\) | −3.01007 | − | 5.21359i | −0.141114 | − | 0.244417i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.62766 | − | 12.3216i | −0.403585 | − | 0.576379i | 0.564991 | − | 0.825097i | \(-0.308880\pi\) |
−0.968576 | + | 0.248718i | \(0.919991\pi\) | |||||||
\(458\) | −5.74638 | − | 21.4458i | −0.268511 | − | 1.00210i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −8.21307 | − | 2.98931i | −0.382936 | − | 0.139377i | ||||
\(461\) | 1.62400 | − | 2.31931i | 0.0756372 | − | 0.108021i | −0.779551 | − | 0.626339i | \(-0.784553\pi\) |
0.855188 | + | 0.518318i | \(0.173442\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −36.1930 | + | 3.16648i | −1.68203 | + | 0.147159i | −0.887729 | − | 0.460366i | \(-0.847718\pi\) |
−0.794301 | + | 0.607524i | \(0.792163\pi\) | |||||||
\(464\) | 4.20144 | + | 2.94188i | 0.195047 | + | 0.136573i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.93205 | + | 3.23247i | −0.321121 | + | 0.149741i | ||||
\(467\) | 34.6623 | − | 9.28773i | 1.60398 | − | 0.429785i | 0.657738 | − | 0.753247i | \(-0.271513\pi\) |
0.946241 | + | 0.323462i | \(0.104847\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −11.5157 | − | 13.7239i | −0.531747 | − | 0.633711i | ||||
\(470\) | 15.6863 | − | 9.05648i | 0.723554 | − | 0.417744i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 13.7796 | − | 2.42971i | 0.634256 | − | 0.111836i | ||||
\(473\) | −21.9582 | − | 5.88369i | −1.00964 | − | 0.270532i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.81065 | − | 9.81065i | −0.450144 | − | 0.450144i | ||||
\(476\) | −4.45474 | + | 9.55322i | −0.204183 | + | 0.437871i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.1849 | + | 9.38529i | 0.511588 | + | 0.429273i | ||||
\(479\) | −26.0672 | − | 2.28058i | −1.19104 | − | 0.104203i | −0.525652 | − | 0.850700i | \(-0.676179\pi\) |
−0.665388 | + | 0.746497i | \(0.731734\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.19959 | − | 2.06345i | 0.237081 | − | 0.0940852i | ||||
\(482\) | − | 26.5902i | − | 1.21115i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.45926 | + | 2.93083i | −0.111784 | + | 0.133219i | ||||
\(485\) | 6.56856 | − | 37.2522i | 0.298263 | − | 1.69153i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.689631 | − | 0.689631i | 0.0312502 | − | 0.0312502i | −0.691309 | − | 0.722559i | \(-0.742966\pi\) |
0.722559 | + | 0.691309i | \(0.242966\pi\) | |||||||
\(488\) | −2.18292 | − | 5.99752i | −0.0988161 | − | 0.271495i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.40380 | − | 7.96134i | −0.0634172 | − | 0.359657i | ||||
\(491\) | 37.2091 | + | 21.4827i | 1.67922 | + | 0.969501i | 0.962157 | + | 0.272497i | \(0.0878496\pi\) |
0.717068 | + | 0.697003i | \(0.245484\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.7276 | − | 16.5534i | 0.888484 | − | 0.745527i | ||||
\(494\) | −2.21323 | + | 1.54972i | −0.0995778 | + | 0.0697251i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.12584 | − | 2.41437i | −0.0505516 | − | 0.108408i | ||||
\(497\) | −4.41245 | + | 12.1231i | −0.197925 | + | 0.543795i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.11174 | − | 12.7072i | −0.0497682 | − | 0.568854i | −0.979612 | − | 0.200899i | \(-0.935614\pi\) |
0.929844 | − | 0.367955i | \(-0.119942\pi\) | |||||||
\(500\) | 0.0753944 | + | 0.861762i | 0.00337174 | + | 0.0385392i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.25142 | − | 19.9231i | 0.323647 | − | 0.889212i | ||||
\(503\) | 4.67196 | + | 10.0191i | 0.208313 | + | 0.446728i | 0.982508 | − | 0.186219i | \(-0.0596232\pi\) |
−0.774196 | + | 0.632946i | \(0.781845\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 42.1697 | − | 29.5276i | 1.87653 | − | 1.31396i | ||||
\(506\) | −5.75130 | + | 4.82591i | −0.255676 | + | 0.214538i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.99319 | − | 1.15077i | −0.0884336 | − | 0.0510571i | ||||
\(509\) | −3.73654 | − | 21.1910i | −0.165619 | − | 0.939273i | −0.948424 | − | 0.317005i | \(-0.897323\pi\) |
0.782805 | − | 0.622268i | \(-0.213788\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.47417 | − | 17.7876i | −0.286400 | − | 0.786879i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.70389 | + | 9.66325i | −0.0751554 | + | 0.426228i | ||||
\(515\) | −11.5597 | + | 13.7763i | −0.509379 | + | 0.607054i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 15.5590i | − | 0.684284i | ||||||
\(518\) | −12.7647 | + | 0.366707i | −0.560848 | + | 0.0161122i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.85668 | − | 0.249927i | −0.125274 | − | 0.0109600i | ||||
\(521\) | −0.350028 | − | 0.293708i | −0.0153350 | − | 0.0128676i | 0.635088 | − | 0.772440i | \(-0.280964\pi\) |
−0.650423 | + | 0.759572i | \(0.725408\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.60898 | + | 16.3175i | −0.332717 | + | 0.713515i | −0.999496 | − | 0.0317411i | \(-0.989895\pi\) |
0.666779 | + | 0.745256i | \(0.267673\pi\) | |||||||
\(524\) | 5.04451 | + | 5.04451i | 0.220370 | + | 0.220370i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.6001 | + | 3.37618i | 0.549390 | + | 0.147209i | ||||
\(527\) | −13.1724 | + | 2.32265i | −0.573798 | + | 0.101176i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.1142 | + | 7.57149i | −0.570183 | + | 0.329195i | ||||
\(530\) | −13.4416 | − | 16.0191i | −0.583868 | − | 0.695827i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 5.95754 | − | 1.59632i | 0.258292 | − | 0.0692092i | ||||
\(533\) | −1.76144 | + | 0.821373i | −0.0762964 | + | 0.0355776i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −50.3710 | − | 35.2702i | −2.17773 | − | 1.52486i | ||||
\(536\) | −8.50118 | + | 0.743757i | −0.367195 | + | 0.0321254i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.52052 | + | 9.31227i | −0.281120 | + | 0.401481i | ||||
\(539\) | −6.52549 | − | 2.37508i | −0.281073 | − | 0.102302i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.95812 | + | 33.4321i | 0.385139 | + | 1.43736i | 0.837947 | + | 0.545752i | \(0.183756\pi\) |
−0.452807 | + | 0.891608i | \(0.649577\pi\) | |||||||
\(542\) | −13.8748 | − | 19.8153i | −0.595975 | − | 0.851140i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.51047 | + | 4.34826i | 0.107636 | + | 0.186430i | ||||
\(545\) | 6.54751 | − | 11.3406i | 0.280465 | − | 0.485779i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.37760 | − | 27.5336i | 0.315444 | − | 1.17725i | −0.608132 | − | 0.793836i | \(-0.708081\pi\) |
0.923576 | − | 0.383416i | \(-0.125252\pi\) | |||||||
\(548\) | −10.4735 | + | 3.81205i | −0.447407 | + | 0.162843i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −11.4640 | − | 5.34576i | −0.488828 | − | 0.227944i | ||||
\(551\) | −14.8395 | − | 2.61661i | −0.632185 | − | 0.111471i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.0964065 | − | 1.10193i | 0.00409962 | − | 0.0468589i | ||||
\(554\) | 0.347332 | 0.0147567 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 20.0662 | 0.850994 | ||||||||
\(557\) | 1.56837 | − | 17.9266i | 0.0664540 | − | 0.759573i | −0.887732 | − | 0.460360i | \(-0.847720\pi\) |
0.954186 | − | 0.299213i | \(-0.0967241\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.68686 | + | 1.35540i | 0.325120 | + | 0.0573274i | ||||
\(560\) | 5.93274 | + | 2.76648i | 0.250704 | + | 0.116905i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.879296 | − | 0.320037i | 0.0370908 | − | 0.0135000i | ||||
\(563\) | −4.39452 | + | 16.4006i | −0.185207 | + | 0.691201i | 0.809379 | + | 0.587286i | \(0.199804\pi\) |
−0.994586 | + | 0.103915i | \(0.966863\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.5765 | + | 21.7832i | −0.529099 | + | 0.916426i | ||||
\(566\) | −5.19207 | − | 8.99293i | −0.218239 | − | 0.378001i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.52477 | + | 5.03389i | 0.147896 | + | 0.211217i | ||||
\(569\) | 0.0672038 | + | 0.250808i | 0.00281733 | + | 0.0105144i | 0.967320 | − | 0.253558i | \(-0.0816009\pi\) |
−0.964503 | + | 0.264072i | \(0.914934\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −43.2375 | − | 15.7372i | −1.80943 | − | 0.658579i | −0.997161 | − | 0.0752988i | \(-0.976009\pi\) |
−0.812271 | − | 0.583280i | \(-0.801769\pi\) | |||||||
\(572\) | −1.41287 | + | 2.01778i | −0.0590749 | + | 0.0843677i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.41975 | − | 0.386678i | 0.184477 | − | 0.0161396i | ||||
\(575\) | 10.8436 | + | 7.59274i | 0.452208 | + | 0.316639i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 37.8768 | − | 17.6623i | 1.57683 | − | 0.735289i | 0.579985 | − | 0.814627i | \(-0.303058\pi\) |
0.996848 | + | 0.0793374i | \(0.0252804\pi\) | |||||||
\(578\) | 7.93012 | − | 2.12487i | 0.329849 | − | 0.0883829i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −10.2800 | − | 12.2512i | −0.426853 | − | 0.508703i | ||||
\(581\) | 5.79919 | − | 3.34817i | 0.240591 | − | 0.138905i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −17.6900 | + | 3.11923i | −0.732647 | + | 0.129185i | ||||
\(584\) | −8.70939 | − | 2.33367i | −0.360397 | − | 0.0965681i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.0751 | − | 12.0751i | −0.498817 | − | 0.498817i | ||||
\(587\) | 11.5283 | − | 24.7225i | 0.475823 | − | 1.02041i | −0.511146 | − | 0.859494i | \(-0.670779\pi\) |
0.986969 | − | 0.160912i | \(-0.0514435\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.99537 | + | 5.03071i | 0.247035 | + | 0.207287i | ||||
\(590\) | −43.4629 | − | 3.80251i | −1.78934 | − | 0.156547i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.34441 | + | 5.08084i | −0.137454 | + | 0.208821i | ||||
\(593\) | 8.69991i | 0.357263i | 0.983916 | + | 0.178631i | \(0.0571669\pi\) | ||||
−0.983916 | + | 0.178631i | \(0.942833\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 21.1267 | − | 25.1778i | 0.866111 | − | 1.03219i | ||||
\(596\) | 3.81045 | − | 21.6101i | 0.156082 | − | 0.885186i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.82281 | − | 1.82281i | 0.0745402 | − | 0.0745402i | ||||
\(599\) | 11.1752 | + | 30.7035i | 0.456605 | + | 1.25451i | 0.927997 | + | 0.372589i | \(0.121530\pi\) |
−0.471391 | + | 0.881924i | \(0.656248\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.74854 | − | 32.6016i | −0.234488 | − | 1.32985i | −0.843690 | − | 0.536831i | \(-0.819621\pi\) |
0.609202 | − | 0.793015i | \(-0.291490\pi\) | |||||||
\(602\) | −15.4309 | − | 8.90901i | −0.628915 | − | 0.363104i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.66503 | + | 7.27082i | −0.352575 | + | 0.295845i | ||||
\(605\) | 9.77218 | − | 6.84255i | 0.397296 | − | 0.278189i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 12.8041 | + | 27.4585i | 0.519703 | + | 1.11451i | 0.974598 | + | 0.223962i | \(0.0718990\pi\) |
−0.454895 | + | 0.890545i | \(0.650323\pi\) | |||||||
\(608\) | 1.00481 | − | 2.76071i | 0.0407506 | − | 0.111961i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.73449 | + | 19.8253i | 0.0702276 | + | 0.802705i | ||||
\(611\) | 0.465609 | + | 5.32194i | 0.0188365 | + | 0.215303i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.1841 | − | 41.7181i | 0.613282 | − | 1.68498i | −0.109574 | − | 0.993979i | \(-0.534949\pi\) |
0.722856 | − | 0.690999i | \(-0.242829\pi\) | |||||||
\(614\) | 7.56017 | + | 16.2128i | 0.305104 | + | 0.654297i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.60613 | − | 3.22525i | 0.185586 | − | 0.129949i | ||||
\(617\) | −27.7168 | + | 23.2571i | −1.11583 | + | 0.936296i | −0.998387 | − | 0.0567827i | \(-0.981916\pi\) |
−0.117448 | + | 0.993079i | \(0.537471\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 26.5570 | + | 15.3327i | 1.06742 | + | 0.616274i | 0.927475 | − | 0.373886i | \(-0.121975\pi\) |
0.139943 | + | 0.990160i | \(0.455308\pi\) | |||||||
\(620\) | 1.44241 | + | 8.18030i | 0.0579285 | + | 0.328529i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.36648 | + | 9.24933i | 0.134984 | + | 0.370864i | ||||
\(623\) | −3.78137 | + | 3.78137i | −0.151497 | + | 0.151497i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.56871 | − | 25.9105i | 0.182749 | − | 1.03642i | ||||
\(626\) | 3.61358 | − | 4.30650i | 0.144428 | − | 0.172122i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 22.2401i | 0.887477i | ||||||||
\(629\) | 20.2953 | + | 22.8225i | 0.809225 | + | 0.909994i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.73147 | + | 0.151484i | 0.0689289 | + | 0.00603049i | 0.121568 | − | 0.992583i | \(-0.461208\pi\) |
−0.0526391 | + | 0.998614i | \(0.516763\pi\) | |||||||
\(632\) | −0.403623 | − | 0.338680i | −0.0160553 | − | 0.0134720i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 13.5274 | − | 29.0096i | 0.537242 | − | 1.15212i | ||||
\(635\) | 5.07451 | + | 5.07451i | 0.201376 | + | 0.201376i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.30311 | + | 0.617117i | 0.0912526 | + | 0.0244511i | ||||
\(638\) | −13.5291 | + | 2.38554i | −0.535622 | + | 0.0944445i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.70036 | − | 1.55905i | 0.106741 | − | 0.0616269i | ||||
\(641\) | 6.24611 | + | 7.44382i | 0.246706 | + | 0.294013i | 0.875160 | − | 0.483834i | \(-0.160756\pi\) |
−0.628453 | + | 0.777847i | \(0.716312\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 32.9105 | − | 8.81835i | 1.29786 | − | 0.347762i | 0.457222 | − | 0.889352i | \(-0.348844\pi\) |
0.840642 | + | 0.541591i | \(0.182178\pi\) | |||||||
\(644\) | −5.33327 | + | 2.48694i | −0.210160 | + | 0.0979993i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.0833 | − | 8.46079i | −0.475410 | − | 0.332885i | ||||
\(647\) | −31.7137 | + | 2.77459i | −1.24679 | + | 0.109080i | −0.691378 | − | 0.722493i | \(-0.742996\pi\) |
−0.555415 | + | 0.831573i | \(0.687441\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −21.4960 | + | 30.6995i | −0.843794 | + | 1.20506i | ||||
\(650\) | 4.08123 | + | 1.48545i | 0.160079 | + | 0.0582640i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.59337 | + | 17.1427i | 0.179890 | + | 0.671360i | ||||
\(653\) | −2.69304 | − | 3.84606i | −0.105387 | − | 0.150508i | 0.762995 | − | 0.646405i | \(-0.223728\pi\) |
−0.868381 | + | 0.495897i | \(0.834839\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.1223 | − | 19.2644i | −0.434584 | − | 0.752721i | ||||
\(656\) | 1.05666 | − | 1.83019i | 0.0412556 | − | 0.0714568i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 3.15634 | − | 11.7796i | 0.123047 | − | 0.459217i | ||||
\(659\) | 27.0882 | − | 9.85932i | 1.05521 | − | 0.384064i | 0.244582 | − | 0.969629i | \(-0.421349\pi\) |
0.810626 | + | 0.585564i | \(0.199127\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −27.7552 | − | 12.9425i | −1.07955 | − | 0.503403i | −0.200288 | − | 0.979737i | \(-0.564188\pi\) |
−0.879265 | + | 0.476334i | \(0.841965\pi\) | |||||||
\(662\) | 8.50928 | + | 1.50041i | 0.330722 | + | 0.0583153i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.278000 | − | 3.17755i | 0.0107885 | − | 0.123313i | ||||
\(665\) | −19.2315 | −0.745766 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14.3768 | 0.556673 | ||||||||
\(668\) | −1.26304 | + | 14.4366i | −0.0488685 | + | 0.558570i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 26.2046 | + | 4.62057i | 1.01237 | + | 0.178508i | ||||
\(671\) | 15.4933 | + | 7.22466i | 0.598113 | + | 0.278905i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.9137 | − | 5.06416i | 0.536332 | − | 0.195209i | −0.0596314 | − | 0.998220i | \(-0.518993\pi\) |
0.595963 | + | 0.803012i | \(0.296770\pi\) | |||||||
\(674\) | −8.82634 | + | 32.9403i | −0.339978 | + | 1.26881i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.07711 | + | 10.5259i | −0.233735 | + | 0.404841i | ||||
\(677\) | 16.1053 | + | 27.8952i | 0.618977 | + | 1.07210i | 0.989673 | + | 0.143345i | \(0.0457860\pi\) |
−0.370696 | + | 0.928754i | \(0.620881\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −14.6080 | − | 20.8623i | −0.560602 | − | 0.800622i | ||||
\(680\) | −4.05202 | − | 15.1224i | −0.155388 | − | 0.579916i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 6.70496 | + | 2.44041i | 0.256746 | + | 0.0934480i | ||||
\(683\) | 5.46876 | − | 7.81020i | 0.209256 | − | 0.298849i | −0.700780 | − | 0.713377i | \(-0.747165\pi\) |
0.910036 | + | 0.414528i | \(0.136053\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 34.6212 | − | 3.02896i | 1.32281 | − | 0.115731i | ||||
\(686\) | −16.4965 | − | 11.5510i | −0.629839 | − | 0.441018i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −7.69213 | + | 3.58690i | −0.293260 | + | 0.136749i | ||||
\(689\) | 5.95752 | − | 1.59631i | 0.226963 | − | 0.0608146i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.0361 | + | 26.2616i | 0.838292 | + | 0.999037i | 0.999926 | + | 0.0121863i | \(0.00387911\pi\) |
−0.161634 | + | 0.986851i | \(0.551676\pi\) | |||||||
\(692\) | −6.74764 | + | 3.89575i | −0.256507 | + | 0.148094i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −2.06001 | + | 0.363234i | −0.0781967 | + | 0.0137882i | ||||
\(695\) | −60.4364 | − | 16.1939i | −2.29248 | − | 0.614269i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.50301 | − | 7.50301i | −0.284197 | − | 0.284197i | ||||
\(698\) | −0.992168 | + | 2.12771i | −0.0375541 | + | 0.0805350i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.59488 | − | 6.37286i | −0.287060 | − | 0.240872i | ||||
\(701\) | −46.0964 | − | 4.03291i | −1.74104 | − | 0.152321i | −0.828143 | − | 0.560517i | \(-0.810603\pi\) |
−0.912894 | + | 0.408196i | \(0.866158\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.59651 | − | 17.6808i | 0.0979293 | − | 0.666844i | ||||
\(704\) | − | 2.67845i | − | 0.100948i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −15.4279 | + | 18.3863i | −0.580637 | + | 0.691976i | ||||
\(707\) | 6.01873 | − | 34.1339i | 0.226358 | − | 1.28374i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −11.3364 | + | 11.3364i | −0.425749 | + | 0.425749i | −0.887177 | − | 0.461428i | \(-0.847337\pi\) |
0.461428 | + | 0.887177i | \(0.347337\pi\) | |||||||
\(710\) | −6.55362 | − | 18.0059i | −0.245953 | − | 0.675750i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.442329 | + | 2.50857i | 0.0165770 | + | 0.0940127i | ||||
\(713\) | −6.46676 | − | 3.73359i | −0.242182 | − | 0.139824i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.88375 | − | 4.93705i | 0.220040 | − | 0.184635i | ||||
\(716\) | 9.94200 | − | 6.96147i | 0.371550 | − | 0.260162i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.08373 | + | 4.46857i | 0.0777641 | + | 0.166766i | ||||
\(719\) | 5.95733 | − | 16.3676i | 0.222171 | − | 0.610409i | −0.777662 | − | 0.628682i | \(-0.783595\pi\) |
0.999833 | + | 0.0182729i | \(0.00581678\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.05529 | + | 12.0620i | 0.0393010 | + | 0.449213i | ||||
\(722\) | −0.903705 | − | 10.3294i | −0.0336324 | − | 0.384420i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.358322 | − | 0.984483i | 0.0133169 | − | 0.0365880i | ||||
\(725\) | 10.2367 | + | 21.9527i | 0.380182 | + | 0.815303i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.525227 | − | 0.367768i | 0.0194796 | − | 0.0136398i | −0.563796 | − | 0.825914i | \(-0.690660\pi\) |
0.583276 | + | 0.812274i | \(0.301771\pi\) | |||||||
\(728\) | −1.47900 | + | 1.24103i | −0.0548156 | + | 0.0459957i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 24.3481 | + | 14.0574i | 0.901163 | + | 0.520287i | ||||
\(731\) | 7.39990 | + | 41.9669i | 0.273695 | + | 1.55220i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.99689 | − | 16.4763i | −0.221500 | − | 0.608567i | 0.778313 | − | 0.627876i | \(-0.216076\pi\) |
−0.999814 | + | 0.0193090i | \(0.993853\pi\) | |||||||
\(734\) | −11.7977 | + | 11.7977i | −0.435460 | + | 0.435460i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.486742 | + | 2.76045i | −0.0179416 | + | 0.101752i | ||||
\(737\) | 14.6922 | − | 17.5094i | 0.541193 | − | 0.644968i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 40.3640i | 1.48482i | 0.669949 | + | 0.742408i | \(0.266316\pi\) | ||||
−0.669949 | + | 0.742408i | \(0.733684\pi\) | |||||||
\(740\) | 14.1732 | − | 12.6038i | 0.521018 | − | 0.463323i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −14.0258 | − | 1.22710i | −0.514903 | − | 0.0450482i | ||||
\(743\) | 5.88578 | + | 4.93876i | 0.215928 | + | 0.181185i | 0.744336 | − | 0.667805i | \(-0.232766\pi\) |
−0.528407 | + | 0.848991i | \(0.677211\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −28.9165 | + | 62.0115i | −1.05942 | + | 2.27193i | ||||
\(746\) | 4.50283 | + | 4.50283i | 0.164860 | + | 0.164860i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −12.9901 | − | 3.48068i | −0.474965 | − | 0.127266i | ||||
\(749\) | −40.7724 | + | 7.18927i | −1.48979 | + | 0.262690i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.63599 | − | 1.52189i | 0.0961885 | − | 0.0555345i | −0.451134 | − | 0.892456i | \(-0.648980\pi\) |
0.547323 | + | 0.836922i | \(0.315647\pi\) | |||||||
\(752\) | −3.73393 | − | 4.44992i | −0.136162 | − | 0.162272i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.55622 | − | 1.22084i | 0.165928 | − | 0.0444602i | ||||
\(755\) | 31.9656 | − | 14.9058i | 1.16335 | − | 0.542477i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −21.5392 | − | 15.0819i | −0.782857 | − | 0.548162i | 0.112426 | − | 0.993660i | \(-0.464138\pi\) |
−0.895283 | + | 0.445498i | \(0.853027\pi\) | |||||||
\(758\) | −6.78227 | + | 0.593372i | −0.246343 | + | 0.0215522i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.25432 | + | 7.50394i | −0.190594 | + | 0.272197i | ||||
\(761\) | −3.54295 | − | 1.28953i | −0.128432 | − | 0.0467453i | 0.277005 | − | 0.960869i | \(-0.410658\pi\) |
−0.405436 | + | 0.914123i | \(0.632880\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.28192 | − | 8.51624i | −0.0826111 | − | 0.308309i | ||||
\(764\) | 13.1813 | + | 18.8248i | 0.476882 | + | 0.681058i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.52457 | − | 16.4970i | −0.344137 | − | 0.596062i | ||||
\(767\) | 6.43400 | − | 11.1440i | 0.232318 | − | 0.402387i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.44019 | − | 16.5710i | 0.160117 | − | 0.597566i | −0.838495 | − | 0.544909i | \(-0.816564\pi\) |
0.998613 | − | 0.0526572i | \(-0.0167691\pi\) | |||||||
\(770\) | −16.4759 | + | 5.99672i | −0.593749 | + | 0.216107i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −9.52212 | − | 4.44024i | −0.342709 | − | 0.159808i | ||||
\(773\) | −29.9348 | − | 5.27830i | −1.07668 | − | 0.189847i | −0.392932 | − | 0.919567i | \(-0.628539\pi\) |
−0.683746 | + | 0.729720i | \(0.739650\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.09648 | − | 12.5329i | 0.0393868 | − | 0.450193i | ||||
\(776\) | −12.1314 | −0.435490 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.49112 | 0.125163 | ||||||||
\(779\) | −0.541122 | + | 6.18506i | −0.0193877 | + | 0.221603i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −16.2096 | − | 2.85820i | −0.580027 | − | 0.102274i | ||||
\(782\) | 12.7553 | + | 5.94788i | 0.456128 | + | 0.212696i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.43630 | + | 0.886739i | −0.0870105 | + | 0.0316692i |