Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(29,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.y (of order \(10\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.29 | ||
Character | \(\chi\) | \(=\) | 930.29 |
Dual form | 930.2.y.b.449.29 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 | ||||
\(3\) | 1.61743 | + | 0.619623i | 0.933821 | + | 0.357740i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 0.184552 | − | 2.22844i | 0.0825344 | − | 0.996588i | ||||
\(6\) | 0.944320 | + | 1.45198i | 0.385517 | + | 0.592770i | ||||
\(7\) | −2.03784 | + | 0.662134i | −0.770230 | + | 0.250263i | −0.667664 | − | 0.744463i | \(-0.732706\pi\) |
−0.102567 | + | 0.994726i | \(0.532706\pi\) | |||||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | 2.23213 | + | 2.00439i | 0.744045 | + | 0.668130i | ||||
\(10\) | 1.45915 | − | 1.69437i | 0.461424 | − | 0.535806i | ||||
\(11\) | 0.778518 | + | 2.39603i | 0.234732 | + | 0.722431i | 0.997157 | + | 0.0753541i | \(0.0240087\pi\) |
−0.762425 | + | 0.647077i | \(0.775991\pi\) | |||||||
\(12\) | −0.0894846 | + | 1.72974i | −0.0258320 | + | 0.499332i | ||||
\(13\) | 5.75657 | − | 4.18239i | 1.59659 | − | 1.15999i | 0.702903 | − | 0.711285i | \(-0.251887\pi\) |
0.893682 | − | 0.448702i | \(-0.148113\pi\) | |||||||
\(14\) | −2.03784 | − | 0.662134i | −0.544635 | − | 0.176963i | ||||
\(15\) | 1.67929 | − | 3.48998i | 0.433592 | − | 0.901110i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 0.0713422 | + | 0.0231805i | 0.0173030 | + | 0.00562209i | 0.317656 | − | 0.948206i | \(-0.397104\pi\) |
−0.300353 | + | 0.953828i | \(0.597104\pi\) | |||||||
\(18\) | 0.627684 | + | 2.93360i | 0.147946 | + | 0.691456i | ||||
\(19\) | 1.93781 | + | 1.40790i | 0.444565 | + | 0.322995i | 0.787446 | − | 0.616384i | \(-0.211403\pi\) |
−0.342881 | + | 0.939379i | \(0.611403\pi\) | |||||||
\(20\) | 2.17640 | − | 0.513106i | 0.486658 | − | 0.114734i | ||||
\(21\) | −3.70633 | − | 0.191740i | −0.808787 | − | 0.0418410i | ||||
\(22\) | −0.778518 | + | 2.39603i | −0.165981 | + | 0.510836i | ||||
\(23\) | 6.57902 | + | 2.13765i | 1.37182 | + | 0.445731i | 0.899972 | − | 0.435948i | \(-0.143587\pi\) |
0.471848 | + | 0.881680i | \(0.343587\pi\) | |||||||
\(24\) | −1.08911 | + | 1.34679i | −0.222313 | + | 0.274912i | ||||
\(25\) | −4.93188 | − | 0.822528i | −0.986376 | − | 0.164506i | ||||
\(26\) | 7.11551 | 1.39547 | ||||||||
\(27\) | 2.36835 | + | 4.62503i | 0.455788 | + | 0.890088i | ||||
\(28\) | −1.25945 | − | 1.73349i | −0.238014 | − | 0.327599i | ||||
\(29\) | 1.57706 | + | 1.14580i | 0.292853 | + | 0.212770i | 0.724504 | − | 0.689271i | \(-0.242069\pi\) |
−0.431651 | + | 0.902041i | \(0.642069\pi\) | |||||||
\(30\) | 3.40994 | − | 1.83639i | 0.622566 | − | 0.335278i | ||||
\(31\) | −4.53562 | + | 3.22926i | −0.814621 | + | 0.579993i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.225442 | + | 4.35779i | −0.0392444 | + | 0.758594i | ||||
\(34\) | 0.0440919 | + | 0.0606873i | 0.00756170 | + | 0.0104078i | ||||
\(35\) | 1.09944 | + | 4.66340i | 0.185839 | + | 0.788258i | ||||
\(36\) | −1.21652 | + | 2.74228i | −0.202753 | + | 0.457046i | ||||
\(37\) | −7.16065 | −1.17720 | −0.588602 | − | 0.808423i | \(-0.700321\pi\) | ||||
−0.588602 | + | 0.808423i | \(0.700321\pi\) | |||||||
\(38\) | 0.740178 | + | 2.27803i | 0.120073 | + | 0.369546i | ||||
\(39\) | 11.9023 | − | 3.19781i | 1.90590 | − | 0.512059i | ||||
\(40\) | 2.06234 | + | 0.864145i | 0.326085 | + | 0.136633i | ||||
\(41\) | −1.49478 | + | 2.05739i | −0.233446 | + | 0.321311i | −0.909628 | − | 0.415424i | \(-0.863633\pi\) |
0.676182 | + | 0.736735i | \(0.263633\pi\) | |||||||
\(42\) | −2.88578 | − | 2.33364i | −0.445285 | − | 0.360089i | ||||
\(43\) | −5.74329 | − | 4.17274i | −0.875843 | − | 0.636337i | 0.0563051 | − | 0.998414i | \(-0.482068\pi\) |
−0.932149 | + | 0.362076i | \(0.882068\pi\) | |||||||
\(44\) | −2.03819 | + | 1.48083i | −0.307268 | + | 0.223243i | ||||
\(45\) | 4.87861 | − | 4.60426i | 0.727260 | − | 0.686362i | ||||
\(46\) | 4.06606 | + | 5.59645i | 0.599507 | + | 0.825151i | ||||
\(47\) | 10.5015 | − | 7.62979i | 1.53180 | − | 1.11292i | 0.576574 | − | 0.817045i | \(-0.304389\pi\) |
0.955227 | − | 0.295874i | \(-0.0956108\pi\) | |||||||
\(48\) | −1.67273 | + | 0.449413i | −0.241438 | + | 0.0648672i | ||||
\(49\) | −1.94876 | + | 1.41585i | −0.278394 | + | 0.202265i | ||||
\(50\) | −3.50651 | − | 3.56433i | −0.495895 | − | 0.504072i | ||||
\(51\) | 0.101028 | + | 0.0816980i | 0.0141467 | + | 0.0114400i | ||||
\(52\) | 5.75657 | + | 4.18239i | 0.798293 | + | 0.579993i | ||||
\(53\) | −6.25666 | − | 2.03291i | −0.859419 | − | 0.279242i | −0.154033 | − | 0.988066i | \(-0.549226\pi\) |
−0.705386 | + | 0.708824i | \(0.749226\pi\) | |||||||
\(54\) | −0.802496 | + | 5.13381i | −0.109206 | + | 0.698623i | ||||
\(55\) | 5.48309 | − | 1.29269i | 0.739340 | − | 0.174306i | ||||
\(56\) | − | 2.14271i | − | 0.286332i | ||||||
\(57\) | 2.26190 | + | 3.47789i | 0.299596 | + | 0.460658i | ||||
\(58\) | 0.602383 | + | 1.85395i | 0.0790968 | + | 0.243435i | ||||
\(59\) | 2.59424 | + | 3.57067i | 0.337742 | + | 0.464862i | 0.943780 | − | 0.330574i | \(-0.107242\pi\) |
−0.606038 | + | 0.795435i | \(0.707242\pi\) | |||||||
\(60\) | 3.83810 | + | 0.518638i | 0.495497 | + | 0.0669559i | ||||
\(61\) | − | 0.765884i | − | 0.0980614i | −0.998797 | − | 0.0490307i | \(-0.984387\pi\) | ||
0.998797 | − | 0.0490307i | \(-0.0156132\pi\) | |||||||
\(62\) | −5.56751 | − | 0.0534406i | −0.707074 | − | 0.00678696i | ||||
\(63\) | −5.87590 | − | 2.60665i | −0.740294 | − | 0.328407i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −8.25782 | − | 13.6000i | −1.02426 | − | 1.68688i | ||||
\(66\) | −2.74383 | + | 3.39302i | −0.337742 | + | 0.417652i | ||||
\(67\) | − | 11.3965i | − | 1.39231i | −0.717892 | − | 0.696154i | \(-0.754893\pi\) | ||
0.717892 | − | 0.696154i | \(-0.245107\pi\) | |||||||
\(68\) | 0.0750136i | 0.00909674i | ||||||||
\(69\) | 9.31654 | + | 7.53401i | 1.12158 | + | 0.906988i | ||||
\(70\) | −1.85161 | + | 4.41900i | −0.221310 | + | 0.528171i | ||||
\(71\) | 3.34743 | + | 1.08765i | 0.397267 | + | 0.129080i | 0.500836 | − | 0.865542i | \(-0.333026\pi\) |
−0.103569 | + | 0.994622i | \(0.533026\pi\) | |||||||
\(72\) | −2.59606 | + | 1.50350i | −0.305948 | + | 0.177189i | ||||
\(73\) | −3.28865 | − | 10.1214i | −0.384907 | − | 1.18462i | −0.936548 | − | 0.350540i | \(-0.885998\pi\) |
0.551641 | − | 0.834082i | \(-0.314002\pi\) | |||||||
\(74\) | −5.79309 | − | 4.20892i | −0.673433 | − | 0.489278i | ||||
\(75\) | −7.46729 | − | 4.38629i | −0.862249 | − | 0.506485i | ||||
\(76\) | −0.740178 | + | 2.27803i | −0.0849043 | + | 0.261309i | ||||
\(77\) | −3.17299 | − | 4.36724i | −0.361596 | − | 0.497694i | ||||
\(78\) | 11.5088 | + | 4.40894i | 1.30312 | + | 0.499214i | ||||
\(79\) | −11.4514 | − | 3.72079i | −1.28838 | − | 0.418621i | −0.416859 | − | 0.908971i | \(-0.636869\pi\) |
−0.871526 | + | 0.490350i | \(0.836869\pi\) | |||||||
\(80\) | 1.16054 | + | 1.91132i | 0.129752 | + | 0.213692i | ||||
\(81\) | 0.964844 | + | 8.94813i | 0.107205 | + | 0.994237i | ||||
\(82\) | −2.41861 | + | 0.785854i | −0.267091 | + | 0.0867830i | ||||
\(83\) | 3.04370 | − | 4.18929i | 0.334089 | − | 0.459834i | −0.608614 | − | 0.793466i | \(-0.708274\pi\) |
0.942703 | + | 0.333632i | \(0.108274\pi\) | |||||||
\(84\) | −0.962963 | − | 3.58418i | −0.105068 | − | 0.391066i | ||||
\(85\) | 0.0648227 | − | 0.154704i | 0.00703101 | − | 0.0167800i | ||||
\(86\) | −2.19374 | − | 6.75164i | −0.236557 | − | 0.728048i | ||||
\(87\) | 1.84081 | + | 2.83043i | 0.197356 | + | 0.303454i | ||||
\(88\) | −2.51934 | −0.268562 | ||||||||
\(89\) | −1.97299 | − | 6.07224i | −0.209136 | − | 0.643656i | −0.999518 | − | 0.0310410i | \(-0.990118\pi\) |
0.790382 | − | 0.612615i | \(-0.209882\pi\) | |||||||
\(90\) | 6.65319 | − | 0.857351i | 0.701308 | − | 0.0903728i | ||||
\(91\) | −8.96165 | + | 12.3347i | −0.939437 | + | 1.29302i | ||||
\(92\) | 6.91759i | 0.721209i | ||||||||
\(93\) | −9.33696 | + | 2.41272i | −0.968197 | + | 0.250188i | ||||
\(94\) | 12.9806 | 1.33884 | ||||||||
\(95\) | 3.49505 | − | 4.05846i | 0.358585 | − | 0.416390i | ||||
\(96\) | −1.61743 | − | 0.619623i | −0.165078 | − | 0.0632400i | ||||
\(97\) | −17.7212 | + | 5.75796i | −1.79931 | + | 0.584633i | −0.999870 | − | 0.0161074i | \(-0.994873\pi\) |
−0.799444 | + | 0.600740i | \(0.794873\pi\) | |||||||
\(98\) | −2.40879 | −0.243325 | ||||||||
\(99\) | −3.06483 | + | 6.90872i | −0.308027 | + | 0.694352i | ||||
\(100\) | −0.741765 | − | 4.94467i | −0.0741765 | − | 0.494467i | ||||
\(101\) | −8.52132 | − | 2.76875i | −0.847903 | − | 0.275500i | −0.147336 | − | 0.989087i | \(-0.547070\pi\) |
−0.700568 | + | 0.713586i | \(0.747070\pi\) | |||||||
\(102\) | 0.0337121 | + | 0.125478i | 0.00333800 | + | 0.0124241i | ||||
\(103\) | −5.87666 | + | 8.08853i | −0.579045 | + | 0.796987i | −0.993590 | − | 0.113042i | \(-0.963941\pi\) |
0.414545 | + | 0.910029i | \(0.363941\pi\) | |||||||
\(104\) | 2.19881 | + | 6.76725i | 0.215611 | + | 0.663584i | ||||
\(105\) | −1.11129 | + | 8.22394i | −0.108451 | + | 0.802574i | ||||
\(106\) | −3.86683 | − | 5.32224i | −0.375580 | − | 0.516941i | ||||
\(107\) | −4.87322 | + | 14.9982i | −0.471112 | + | 1.44993i | 0.380019 | + | 0.924979i | \(0.375917\pi\) |
−0.851131 | + | 0.524954i | \(0.824083\pi\) | |||||||
\(108\) | −3.66681 | + | 3.68164i | −0.352839 | + | 0.354266i | ||||
\(109\) | 13.7192 | − | 9.96758i | 1.31406 | − | 0.954721i | 0.314075 | − | 0.949398i | \(-0.398306\pi\) |
0.999986 | − | 0.00532285i | \(-0.00169433\pi\) | |||||||
\(110\) | 5.19573 | + | 2.17707i | 0.495394 | + | 0.207576i | ||||
\(111\) | −11.5818 | − | 4.43691i | −1.09930 | − | 0.421132i | ||||
\(112\) | 1.25945 | − | 1.73349i | 0.119007 | − | 0.163799i | ||||
\(113\) | 3.43919 | + | 10.5848i | 0.323532 | + | 0.995730i | 0.972099 | + | 0.234572i | \(0.0753688\pi\) |
−0.648567 | + | 0.761158i | \(0.724631\pi\) | |||||||
\(114\) | −0.214340 | + | 4.14318i | −0.0200747 | + | 0.388045i | ||||
\(115\) | 5.97780 | − | 14.2664i | 0.557433 | − | 1.33035i | ||||
\(116\) | −0.602383 | + | 1.85395i | −0.0559299 | + | 0.172134i | ||||
\(117\) | 21.2326 | + | 2.20275i | 1.96295 | + | 0.203644i | ||||
\(118\) | 4.41359i | 0.406304i | ||||||||
\(119\) | −0.160732 | −0.0147343 | ||||||||
\(120\) | 2.80024 | + | 2.67557i | 0.255626 | + | 0.244245i | ||||
\(121\) | 3.76431 | − | 2.73493i | 0.342210 | − | 0.248630i | ||||
\(122\) | 0.450175 | − | 0.619613i | 0.0407570 | − | 0.0560971i | ||||
\(123\) | −3.69251 | + | 2.40148i | −0.332942 | + | 0.216534i | ||||
\(124\) | −4.47280 | − | 3.31573i | −0.401669 | − | 0.297762i | ||||
\(125\) | −2.74314 | + | 10.8386i | −0.245354 | + | 0.969433i | ||||
\(126\) | −3.22155 | − | 5.56259i | −0.286999 | − | 0.495555i | ||||
\(127\) | 12.1867 | − | 8.85417i | 1.08140 | − | 0.785681i | 0.103471 | − | 0.994633i | \(-0.467005\pi\) |
0.977926 | + | 0.208952i | \(0.0670052\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | −6.70382 | − | 10.3078i | −0.590238 | − | 0.907549i | ||||
\(130\) | 1.31319 | − | 15.8565i | 0.115174 | − | 1.39071i | ||||
\(131\) | −12.0358 | + | 3.91067i | −1.05157 | + | 0.341677i | −0.783286 | − | 0.621662i | \(-0.786458\pi\) |
−0.268288 | + | 0.963339i | \(0.586458\pi\) | |||||||
\(132\) | −4.21417 | + | 1.13222i | −0.366797 | + | 0.0985474i | ||||
\(133\) | −4.88117 | − | 1.58599i | −0.423251 | − | 0.137523i | ||||
\(134\) | 6.69872 | − | 9.21999i | 0.578681 | − | 0.796486i | ||||
\(135\) | 10.7437 | − | 4.42415i | 0.924670 | − | 0.380770i | ||||
\(136\) | −0.0440919 | + | 0.0606873i | −0.00378085 | + | 0.00520389i | ||||
\(137\) | −10.9475 | − | 15.0680i | −0.935311 | − | 1.28734i | −0.957752 | − | 0.287596i | \(-0.907144\pi\) |
0.0224412 | − | 0.999748i | \(-0.492856\pi\) | |||||||
\(138\) | 3.10886 | + | 11.5713i | 0.264643 | + | 0.985011i | ||||
\(139\) | 9.01520 | + | 12.4084i | 0.764659 | + | 1.05246i | 0.996812 | + | 0.0797840i | \(0.0254230\pi\) |
−0.232153 | + | 0.972679i | \(0.574577\pi\) | |||||||
\(140\) | −4.09541 | + | 2.48670i | −0.346125 | + | 0.210164i | ||||
\(141\) | 21.7130 | − | 5.83364i | 1.82856 | − | 0.491281i | ||||
\(142\) | 2.06883 | + | 2.84749i | 0.173612 | + | 0.238956i | ||||
\(143\) | 14.5027 | + | 10.5369i | 1.21278 | + | 0.881136i | ||||
\(144\) | −2.98398 | − | 0.309570i | −0.248665 | − | 0.0257975i | ||||
\(145\) | 2.84440 | − | 3.30292i | 0.236214 | − | 0.274293i | ||||
\(146\) | 3.28865 | − | 10.1214i | 0.272170 | − | 0.837654i | ||||
\(147\) | −4.02926 | + | 1.08254i | −0.332328 | + | 0.0892868i | ||||
\(148\) | −2.21276 | − | 6.81018i | −0.181888 | − | 0.559794i | ||||
\(149\) | 4.25021i | 0.348191i | 0.984729 | + | 0.174096i | \(0.0557002\pi\) | ||||
−0.984729 | + | 0.174096i | \(0.944300\pi\) | |||||||
\(150\) | −3.46297 | − | 7.93775i | −0.282751 | − | 0.648114i | ||||
\(151\) | −14.8715 | + | 4.83206i | −1.21023 | + | 0.393227i | −0.843515 | − | 0.537106i | \(-0.819517\pi\) |
−0.366714 | + | 0.930334i | \(0.619517\pi\) | |||||||
\(152\) | −1.93781 | + | 1.40790i | −0.157177 | + | 0.114196i | ||||
\(153\) | 0.112783 | + | 0.194739i | 0.00911793 | + | 0.0157438i | ||||
\(154\) | − | 5.39821i | − | 0.435000i | ||||||
\(155\) | 6.35916 | + | 10.7033i | 0.510780 | + | 0.859711i | ||||
\(156\) | 6.71932 | + | 10.3316i | 0.537976 | + | 0.827191i | ||||
\(157\) | 0.652659 | − | 0.898308i | 0.0520879 | − | 0.0716928i | −0.782179 | − | 0.623054i | \(-0.785892\pi\) |
0.834266 | + | 0.551362i | \(0.185892\pi\) | |||||||
\(158\) | −7.07736 | − | 9.74115i | −0.563045 | − | 0.774964i | ||||
\(159\) | −8.86005 | − | 7.16486i | −0.702648 | − | 0.568210i | ||||
\(160\) | −0.184552 | + | 2.22844i | −0.0145902 | + | 0.176174i | ||||
\(161\) | −14.8224 | −1.16817 | ||||||||
\(162\) | −4.47901 | + | 7.80631i | −0.351904 | + | 0.613322i | ||||
\(163\) | −7.05838 | − | 2.29341i | −0.552855 | − | 0.179633i | 0.0192489 | − | 0.999815i | \(-0.493873\pi\) |
−0.572104 | + | 0.820181i | \(0.693873\pi\) | |||||||
\(164\) | −2.41861 | − | 0.785854i | −0.188862 | − | 0.0613649i | ||||
\(165\) | 9.66947 | + | 1.30663i | 0.752767 | + | 0.101721i | ||||
\(166\) | 4.92481 | − | 1.60017i | 0.382239 | − | 0.124197i | ||||
\(167\) | 5.33101 | − | 7.33751i | 0.412526 | − | 0.567793i | −0.551306 | − | 0.834303i | \(-0.685870\pi\) |
0.963832 | + | 0.266510i | \(0.0858704\pi\) | |||||||
\(168\) | 1.32767 | − | 3.46567i | 0.102432 | − | 0.267383i | ||||
\(169\) | 11.6285 | − | 35.7887i | 0.894497 | − | 2.75298i | ||||
\(170\) | 0.143375 | − | 0.0870561i | 0.0109964 | − | 0.00667690i | ||||
\(171\) | 1.50347 | + | 7.02676i | 0.114973 | + | 0.537350i | ||||
\(172\) | 2.19374 | − | 6.75164i | 0.167271 | − | 0.514808i | ||||
\(173\) | 2.21912 | − | 1.61229i | 0.168717 | − | 0.122580i | −0.500223 | − | 0.865897i | \(-0.666749\pi\) |
0.668939 | + | 0.743317i | \(0.266749\pi\) | |||||||
\(174\) | −0.174437 | + | 3.37187i | −0.0132240 | + | 0.255621i | ||||
\(175\) | 10.5950 | − | 1.58939i | 0.800907 | − | 0.120146i | ||||
\(176\) | −2.03819 | − | 1.48083i | −0.153634 | − | 0.111622i | ||||
\(177\) | 1.98353 | + | 7.38275i | 0.149091 | + | 0.554921i | ||||
\(178\) | 1.97299 | − | 6.07224i | 0.147882 | − | 0.455133i | ||||
\(179\) | 0.00971135 | + | 0.0298885i | 0.000725860 | + | 0.00223397i | 0.951419 | − | 0.307900i | \(-0.0996262\pi\) |
−0.950693 | + | 0.310134i | \(0.899626\pi\) | |||||||
\(180\) | 5.88648 | + | 3.21704i | 0.438753 | + | 0.239784i | ||||
\(181\) | 23.5531i | 1.75069i | 0.483499 | + | 0.875345i | \(0.339366\pi\) | ||||
−0.483499 | + | 0.875345i | \(0.660634\pi\) | |||||||
\(182\) | −14.5003 | + | 4.71142i | −1.07483 | + | 0.349234i | ||||
\(183\) | 0.474560 | − | 1.23876i | 0.0350805 | − | 0.0915718i | ||||
\(184\) | −4.06606 | + | 5.59645i | −0.299754 | + | 0.412576i | ||||
\(185\) | −1.32152 | + | 15.9571i | −0.0971598 | + | 1.17319i | ||||
\(186\) | −8.97192 | − | 3.53619i | −0.657853 | − | 0.259286i | ||||
\(187\) | 0.188985i | 0.0138199i | ||||||||
\(188\) | 10.5015 | + | 7.62979i | 0.765901 | + | 0.556459i | ||||
\(189\) | −7.88870 | − | 7.85691i | −0.573818 | − | 0.571506i | ||||
\(190\) | 5.21306 | − | 1.22903i | 0.378195 | − | 0.0891629i | ||||
\(191\) | − | 15.1585i | − | 1.09683i | −0.836207 | − | 0.548414i | \(-0.815232\pi\) | ||
0.836207 | − | 0.548414i | \(-0.184768\pi\) | |||||||
\(192\) | −0.944320 | − | 1.45198i | −0.0681504 | − | 0.104788i | ||||
\(193\) | 4.30403 | − | 1.39846i | 0.309811 | − | 0.100664i | −0.149985 | − | 0.988688i | \(-0.547923\pi\) |
0.459796 | + | 0.888025i | \(0.347923\pi\) | |||||||
\(194\) | −17.7212 | − | 5.75796i | −1.27231 | − | 0.413398i | ||||
\(195\) | −4.92951 | − | 27.1138i | −0.353010 | − | 1.94166i | ||||
\(196\) | −1.94876 | − | 1.41585i | −0.139197 | − | 0.101132i | ||||
\(197\) | 4.49801 | − | 1.46149i | 0.320470 | − | 0.104127i | −0.144365 | − | 0.989525i | \(-0.546114\pi\) |
0.464834 | + | 0.885398i | \(0.346114\pi\) | |||||||
\(198\) | −6.54034 | + | 3.78781i | −0.464802 | + | 0.269188i | ||||
\(199\) | −5.04893 | − | 6.94925i | −0.357909 | − | 0.492620i | 0.591656 | − | 0.806191i | \(-0.298475\pi\) |
−0.949565 | + | 0.313571i | \(0.898475\pi\) | |||||||
\(200\) | 2.30631 | − | 4.43632i | 0.163080 | − | 0.313695i | ||||
\(201\) | 7.06156 | − | 18.4331i | 0.498084 | − | 1.30017i | ||||
\(202\) | −5.26647 | − | 7.24867i | −0.370547 | − | 0.510015i | ||||
\(203\) | −3.97247 | − | 1.29073i | −0.278812 | − | 0.0905917i | ||||
\(204\) | −0.0464802 | + | 0.121329i | −0.00325426 | + | 0.00849473i | ||||
\(205\) | 4.30891 | + | 3.71073i | 0.300947 | + | 0.259169i | ||||
\(206\) | −9.50864 | + | 3.08954i | −0.662498 | + | 0.215259i | ||||
\(207\) | 10.4006 | + | 17.9584i | 0.722889 | + | 1.24820i | ||||
\(208\) | −2.19881 | + | 6.76725i | −0.152460 | + | 0.469225i | ||||
\(209\) | −1.86476 | + | 5.73914i | −0.128988 | + | 0.396985i | ||||
\(210\) | −5.73296 | + | 6.00010i | −0.395612 | + | 0.414046i | ||||
\(211\) | −7.05032 | −0.485364 | −0.242682 | − | 0.970106i | \(-0.578027\pi\) | ||||
−0.242682 | + | 0.970106i | \(0.578027\pi\) | |||||||
\(212\) | − | 6.57865i | − | 0.451823i | ||||||
\(213\) | 4.74029 | + | 3.83333i | 0.324799 | + | 0.262656i | ||||
\(214\) | −12.7582 | + | 9.26941i | −0.872136 | + | 0.633644i | ||||
\(215\) | −10.3586 | + | 12.0285i | −0.706454 | + | 0.820335i | ||||
\(216\) | −5.13053 | + | 0.823216i | −0.349088 | + | 0.0560127i | ||||
\(217\) | 7.10465 | − | 9.58391i | 0.482295 | − | 0.650598i | ||||
\(218\) | 16.9579 | 1.14853 | ||||||||
\(219\) | 0.952321 | − | 18.4084i | 0.0643519 | − | 1.24392i | ||||
\(220\) | 2.92379 | + | 4.81527i | 0.197122 | + | 0.324645i | ||||
\(221\) | 0.507636 | − | 0.164941i | 0.0341473 | − | 0.0110951i | ||||
\(222\) | −6.76194 | − | 10.3972i | −0.453832 | − | 0.697811i | ||||
\(223\) | 11.7748 | 0.788499 | 0.394250 | − | 0.919003i | \(-0.371005\pi\) | ||||
0.394250 | + | 0.919003i | \(0.371005\pi\) | |||||||
\(224\) | 2.03784 | − | 0.662134i | 0.136159 | − | 0.0442407i | ||||
\(225\) | −9.35995 | − | 11.7214i | −0.623997 | − | 0.781427i | ||||
\(226\) | −3.43919 | + | 10.5848i | −0.228772 | + | 0.704087i | ||||
\(227\) | 9.81115 | + | 7.12822i | 0.651189 | + | 0.473116i | 0.863676 | − | 0.504048i | \(-0.168156\pi\) |
−0.212487 | + | 0.977164i | \(0.568156\pi\) | |||||||
\(228\) | −2.60871 | + | 3.22592i | −0.172766 | + | 0.213642i | ||||
\(229\) | −0.273083 | + | 0.375866i | −0.0180458 | + | 0.0248379i | −0.817945 | − | 0.575297i | \(-0.804886\pi\) |
0.799899 | + | 0.600135i | \(0.204886\pi\) | |||||||
\(230\) | 13.2217 | − | 8.02812i | 0.871816 | − | 0.529359i | ||||
\(231\) | −2.42603 | − | 9.02975i | −0.159621 | − | 0.594114i | ||||
\(232\) | −1.57706 | + | 1.14580i | −0.103539 | + | 0.0752255i | ||||
\(233\) | 6.24139 | − | 4.53464i | 0.408887 | − | 0.297074i | −0.364264 | − | 0.931296i | \(-0.618679\pi\) |
0.773151 | + | 0.634222i | \(0.218679\pi\) | |||||||
\(234\) | 15.8828 | + | 14.2623i | 1.03829 | + | 0.932353i | ||||
\(235\) | −15.0644 | − | 24.8100i | −0.982695 | − | 1.61843i | ||||
\(236\) | −2.59424 | + | 3.57067i | −0.168871 | + | 0.232431i | ||||
\(237\) | −16.2163 | − | 13.1137i | −1.05336 | − | 0.851824i | ||||
\(238\) | −0.130035 | − | 0.0944761i | −0.00842893 | − | 0.00612398i | ||||
\(239\) | −5.73494 | + | 17.6503i | −0.370962 | + | 1.14170i | 0.575200 | + | 0.818013i | \(0.304924\pi\) |
−0.946163 | + | 0.323692i | \(0.895076\pi\) | |||||||
\(240\) | 0.692784 | + | 3.81052i | 0.0447190 | + | 0.245968i | ||||
\(241\) | −3.55905 | + | 1.15641i | −0.229259 | + | 0.0744907i | −0.421394 | − | 0.906878i | \(-0.638459\pi\) |
0.192135 | + | 0.981369i | \(0.438459\pi\) | |||||||
\(242\) | 4.65294 | 0.299102 | ||||||||
\(243\) | −3.98391 | + | 15.0708i | −0.255568 | + | 0.966791i | ||||
\(244\) | 0.728399 | − | 0.236671i | 0.0466310 | − | 0.0151513i | ||||
\(245\) | 2.79550 | + | 4.60398i | 0.178598 | + | 0.294138i | ||||
\(246\) | −4.39886 | − | 0.227566i | −0.280461 | − | 0.0145091i | ||||
\(247\) | 17.0436 | 1.08446 | ||||||||
\(248\) | −1.66963 | − | 5.31153i | −0.106022 | − | 0.337282i | ||||
\(249\) | 7.51874 | − | 4.88992i | 0.476481 | − | 0.309886i | ||||
\(250\) | −8.59002 | + | 7.15623i | −0.543280 | + | 0.452600i | ||||
\(251\) | −18.9503 | + | 13.7682i | −1.19613 | + | 0.869041i | −0.993899 | − | 0.110296i | \(-0.964820\pi\) |
−0.202233 | + | 0.979337i | \(0.564820\pi\) | |||||||
\(252\) | 0.663318 | − | 6.39381i | 0.0417851 | − | 0.402772i | ||||
\(253\) | 17.4277i | 1.09567i | ||||||||
\(254\) | 15.0636 | 0.945175 | ||||||||
\(255\) | 0.200704 | − | 0.210056i | 0.0125686 | − | 0.0131542i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 0.830220 | − | 2.55516i | 0.0517877 | − | 0.159386i | −0.921818 | − | 0.387623i | \(-0.873296\pi\) |
0.973606 | + | 0.228237i | \(0.0732961\pi\) | |||||||
\(258\) | 0.635260 | − | 12.2796i | 0.0395496 | − | 0.764493i | ||||
\(259\) | 14.5922 | − | 4.74131i | 0.906718 | − | 0.294611i | ||||
\(260\) | 10.3826 | − | 12.0563i | 0.643901 | − | 0.747700i | ||||
\(261\) | 1.22358 | + | 5.71862i | 0.0757375 | + | 0.353974i | ||||
\(262\) | −12.0358 | − | 3.91067i | −0.743575 | − | 0.241602i | ||||
\(263\) | −7.61283 | − | 10.4782i | −0.469427 | − | 0.646111i | 0.507003 | − | 0.861944i | \(-0.330753\pi\) |
−0.976430 | + | 0.215833i | \(0.930753\pi\) | |||||||
\(264\) | −4.07484 | − | 1.56104i | −0.250789 | − | 0.0960754i | ||||
\(265\) | −5.68491 | + | 13.5674i | −0.349221 | + | 0.833440i | ||||
\(266\) | −3.01673 | − | 4.15217i | −0.184967 | − | 0.254586i | ||||
\(267\) | 0.571335 | − | 11.0439i | 0.0349651 | − | 0.675876i | ||||
\(268\) | 10.8388 | − | 3.52172i | 0.662082 | − | 0.215124i | ||||
\(269\) | −3.26971 | − | 2.37559i | −0.199358 | − | 0.144842i | 0.483628 | − | 0.875274i | \(-0.339319\pi\) |
−0.682986 | + | 0.730432i | \(0.739319\pi\) | |||||||
\(270\) | 11.2923 | + | 2.73577i | 0.687226 | + | 0.166494i | ||||
\(271\) | 10.2377 | + | 3.32644i | 0.621897 | + | 0.202067i | 0.602982 | − | 0.797755i | \(-0.293979\pi\) |
0.0189146 | + | 0.999821i | \(0.493979\pi\) | |||||||
\(272\) | −0.0713422 | + | 0.0231805i | −0.00432576 | + | 0.00140552i | ||||
\(273\) | −22.1377 | + | 14.3975i | −1.33983 | + | 0.871379i | ||||
\(274\) | − | 18.6250i | − | 1.12518i | ||||||
\(275\) | −1.86876 | − | 12.4573i | −0.112690 | − | 0.751203i | ||||
\(276\) | −4.28630 | + | 11.1887i | −0.258005 | + | 0.673480i | ||||
\(277\) | 1.10044 | + | 0.799514i | 0.0661188 | + | 0.0480381i | 0.620354 | − | 0.784322i | \(-0.286989\pi\) |
−0.554235 | + | 0.832360i | \(0.686989\pi\) | |||||||
\(278\) | 15.3376i | 0.919887i | ||||||||
\(279\) | −16.5968 | − | 1.88300i | −0.993625 | − | 0.112732i | ||||
\(280\) | −4.77490 | − | 0.395442i | −0.285355 | − | 0.0236322i | ||||
\(281\) | −8.06170 | + | 11.0960i | −0.480921 | + | 0.661930i | −0.978681 | − | 0.205384i | \(-0.934156\pi\) |
0.497761 | + | 0.867314i | \(0.334156\pi\) | |||||||
\(282\) | 20.9951 | + | 8.04306i | 1.25024 | + | 0.478957i | ||||
\(283\) | 3.10314 | − | 1.00827i | 0.184463 | − | 0.0599356i | −0.215329 | − | 0.976542i | \(-0.569082\pi\) |
0.399792 | + | 0.916606i | \(0.369082\pi\) | |||||||
\(284\) | 3.51970i | 0.208856i | ||||||||
\(285\) | 8.16771 | − | 4.39865i | 0.483813 | − | 0.260553i | ||||
\(286\) | 5.53955 | + | 17.0490i | 0.327561 | + | 1.00813i | ||||
\(287\) | 1.68386 | − | 5.18238i | 0.0993949 | − | 0.305906i | ||||
\(288\) | −2.23213 | − | 2.00439i | −0.131530 | − | 0.118110i | ||||
\(289\) | −13.7487 | − | 9.98904i | −0.808749 | − | 0.587591i | ||||
\(290\) | 4.24257 | − | 1.00022i | 0.249133 | − | 0.0587352i | ||||
\(291\) | −32.2305 | − | 1.66738i | −1.88938 | − | 0.0977437i | ||||
\(292\) | 8.60979 | − | 6.25538i | 0.503850 | − | 0.366068i | ||||
\(293\) | −5.05171 | + | 15.5476i | −0.295124 | + | 0.908299i | 0.688055 | + | 0.725658i | \(0.258465\pi\) |
−0.983180 | + | 0.182641i | \(0.941535\pi\) | |||||||
\(294\) | −3.89605 | − | 1.49255i | −0.227222 | − | 0.0870470i | ||||
\(295\) | 8.43580 | − | 5.12214i | 0.491151 | − | 0.298222i | ||||
\(296\) | 2.21276 | − | 6.81018i | 0.128614 | − | 0.395834i | ||||
\(297\) | −9.23793 | + | 9.27530i | −0.536039 | + | 0.538208i | ||||
\(298\) | −2.49821 | + | 3.43850i | −0.144718 | + | 0.199187i | ||||
\(299\) | 46.8131 | − | 15.2105i | 2.70727 | − | 0.879645i | ||||
\(300\) | 1.86408 | − | 8.45726i | 0.107623 | − | 0.488280i | ||||
\(301\) | 14.4668 | + | 4.70055i | 0.833853 | + | 0.270935i | ||||
\(302\) | −14.8715 | − | 4.83206i | −0.855761 | − | 0.278054i | ||||
\(303\) | −12.0670 | − | 9.75825i | −0.693233 | − | 0.560597i | ||||
\(304\) | −2.39527 | −0.137378 | ||||||||
\(305\) | −1.70673 | − | 0.141346i | −0.0977268 | − | 0.00809344i | ||||
\(306\) | −0.0232220 | + | 0.223839i | −0.00132751 | + | 0.0127961i | ||||
\(307\) | −0.408013 | − | 0.561581i | −0.0232865 | − | 0.0320511i | 0.797215 | − | 0.603695i | \(-0.206306\pi\) |
−0.820502 | + | 0.571644i | \(0.806306\pi\) | |||||||
\(308\) | 3.17299 | − | 4.36724i | 0.180798 | − | 0.248847i | ||||
\(309\) | −14.5169 | + | 9.44129i | −0.825838 | + | 0.537096i | ||||
\(310\) | −1.14659 | + | 12.3970i | −0.0651217 | + | 0.704102i | ||||
\(311\) | − | 9.42275i | − | 0.534315i | −0.963653 | − | 0.267157i | \(-0.913916\pi\) | ||
0.963653 | − | 0.267157i | \(-0.0860844\pi\) | |||||||
\(312\) | −0.636729 | + | 12.3080i | −0.0360477 | + | 0.696801i | ||||
\(313\) | −10.3042 | + | 7.48642i | −0.582427 | + | 0.423158i | −0.839598 | − | 0.543208i | \(-0.817209\pi\) |
0.257171 | + | 0.966366i | \(0.417209\pi\) | |||||||
\(314\) | 1.05602 | − | 0.343123i | 0.0595949 | − | 0.0193636i | ||||
\(315\) | −6.89317 | + | 12.6130i | −0.388386 | + | 0.710663i | ||||
\(316\) | − | 12.0407i | − | 0.677344i | ||||||
\(317\) | 0.745683 | + | 2.29498i | 0.0418817 | + | 0.128899i | 0.969811 | − | 0.243857i | \(-0.0784128\pi\) |
−0.927929 | + | 0.372756i | \(0.878413\pi\) | |||||||
\(318\) | −2.95653 | − | 11.0043i | −0.165794 | − | 0.617091i | ||||
\(319\) | −1.51761 | + | 4.67071i | −0.0849697 | + | 0.261510i | ||||
\(320\) | −1.45915 | + | 1.69437i | −0.0815689 | + | 0.0947180i | ||||
\(321\) | −17.1753 | + | 21.2390i | −0.958633 | + | 1.18544i | ||||
\(322\) | −11.9916 | − | 8.71238i | −0.668264 | − | 0.485522i | ||||
\(323\) | 0.105612 | + | 0.145362i | 0.00587640 | + | 0.00808817i | ||||
\(324\) | −8.21203 | + | 3.68275i | −0.456224 | + | 0.204597i | ||||
\(325\) | −31.8308 | + | 15.8921i | −1.76566 | + | 0.881536i | ||||
\(326\) | −4.36232 | − | 6.00422i | −0.241606 | − | 0.332543i | ||||
\(327\) | 28.3659 | − | 7.62109i | 1.56864 | − | 0.421447i | ||||
\(328\) | −1.49478 | − | 2.05739i | −0.0825356 | − | 0.113600i | ||||
\(329\) | −16.3484 | + | 22.5017i | −0.901317 | + | 1.24056i | ||||
\(330\) | 7.05475 | + | 6.74065i | 0.388351 | + | 0.371061i | ||||
\(331\) | −0.124011 | + | 0.170686i | −0.00681625 | + | 0.00938176i | −0.812412 | − | 0.583084i | \(-0.801846\pi\) |
0.805595 | + | 0.592466i | \(0.201846\pi\) | |||||||
\(332\) | 4.92481 | + | 1.60017i | 0.270284 | + | 0.0878205i | ||||
\(333\) | −15.9835 | − | 14.3527i | −0.875892 | − | 0.786525i | ||||
\(334\) | 8.62576 | − | 2.80268i | 0.471980 | − | 0.153356i | ||||
\(335\) | −25.3965 | − | 2.10326i | −1.38756 | − | 0.114913i | ||||
\(336\) | 3.11118 | − | 2.02340i | 0.169729 | − | 0.110386i | ||||
\(337\) | 6.80218 | + | 20.9350i | 0.370538 | + | 1.14040i | 0.946440 | + | 0.322881i | \(0.104651\pi\) |
−0.575901 | + | 0.817519i | \(0.695349\pi\) | |||||||
\(338\) | 30.4437 | − | 22.1187i | 1.65592 | − | 1.20310i | ||||
\(339\) | −0.995916 | + | 19.2511i | −0.0540908 | + | 1.04557i | ||||
\(340\) | 0.167163 | + | 0.0138439i | 0.00906570 | + | 0.000750793i | ||||
\(341\) | −11.2685 | − | 8.35345i | −0.610223 | − | 0.452365i | ||||
\(342\) | −2.91389 | + | 6.56848i | −0.157565 | + | 0.355183i | ||||
\(343\) | 11.8499 | − | 16.3100i | 0.639836 | − | 0.880659i | ||||
\(344\) | 5.74329 | − | 4.17274i | 0.309657 | − | 0.224979i | ||||
\(345\) | 18.5085 | − | 19.3709i | 0.996462 | − | 1.04289i | ||||
\(346\) | 2.74298 | 0.147464 | ||||||||
\(347\) | − | 7.42055i | − | 0.398356i | −0.979963 | − | 0.199178i | \(-0.936173\pi\) | ||
0.979963 | − | 0.199178i | \(-0.0638272\pi\) | |||||||
\(348\) | −2.12306 | + | 2.62537i | −0.113808 | + | 0.140735i | ||||
\(349\) | −5.77954 | + | 17.7876i | −0.309372 | + | 0.952148i | 0.668638 | + | 0.743588i | \(0.266878\pi\) |
−0.978010 | + | 0.208560i | \(0.933122\pi\) | |||||||
\(350\) | 9.50575 | + | 4.94174i | 0.508104 | + | 0.264147i | ||||
\(351\) | 32.9773 | + | 16.7190i | 1.76020 | + | 0.892393i | ||||
\(352\) | −0.778518 | − | 2.39603i | −0.0414952 | − | 0.127709i | ||||
\(353\) | 11.8805 | − | 16.3521i | 0.632335 | − | 0.870334i | −0.365843 | − | 0.930677i | \(-0.619219\pi\) |
0.998178 | + | 0.0603424i | \(0.0192193\pi\) | |||||||
\(354\) | −2.73476 | + | 7.13866i | −0.145351 | + | 0.379415i | ||||
\(355\) | 3.04153 | − | 7.25882i | 0.161428 | − | 0.385258i | ||||
\(356\) | 5.16535 | − | 3.75285i | 0.273763 | − | 0.198901i | ||||
\(357\) | −0.259973 | − | 0.0995935i | −0.0137592 | − | 0.00527105i | ||||
\(358\) | −0.00971135 | + | 0.0298885i | −0.000513261 | + | 0.00157965i | ||||
\(359\) | 14.1038 | + | 19.4123i | 0.744372 | + | 1.02454i | 0.998355 | + | 0.0573318i | \(0.0182593\pi\) |
−0.253983 | + | 0.967209i | \(0.581741\pi\) | |||||||
\(360\) | 2.87134 | + | 6.06262i | 0.151333 | + | 0.319528i | ||||
\(361\) | −4.09840 | − | 12.6136i | −0.215705 | − | 0.663872i | ||||
\(362\) | −13.8442 | + | 19.0549i | −0.727634 | + | 1.00150i | ||||
\(363\) | 7.78311 | − | 2.09109i | 0.408508 | − | 0.109754i | ||||
\(364\) | −14.5003 | − | 4.71142i | −0.760020 | − | 0.246946i | ||||
\(365\) | −23.1619 | + | 5.46061i | −1.21235 | + | 0.285822i | ||||
\(366\) | 1.11205 | − | 0.723239i | 0.0581279 | − | 0.0378043i | ||||
\(367\) | 28.3098 | 1.47776 | 0.738881 | − | 0.673836i | \(-0.235355\pi\) | ||||
0.738881 | + | 0.673836i | \(0.235355\pi\) | |||||||
\(368\) | −6.57902 | + | 2.13765i | −0.342955 | + | 0.111433i | ||||
\(369\) | −7.46037 | + | 1.59625i | −0.388371 | + | 0.0830973i | ||||
\(370\) | −10.4485 | + | 12.1328i | −0.543190 | + | 0.630753i | ||||
\(371\) | 14.0961 | 0.731834 | ||||||||
\(372\) | −5.17991 | − | 8.13440i | −0.268566 | − | 0.421749i | ||||
\(373\) | − | 14.1273i | − | 0.731482i | −0.930717 | − | 0.365741i | \(-0.880816\pi\) | ||
0.930717 | − | 0.365741i | \(-0.119184\pi\) | |||||||
\(374\) | −0.111082 | + | 0.152892i | −0.00574393 | + | 0.00790584i | ||||
\(375\) | −11.1527 | + | 15.8309i | −0.575922 | + | 0.817505i | ||||
\(376\) | 4.01122 | + | 12.3453i | 0.206863 | + | 0.636658i | ||||
\(377\) | 13.8706 | 0.714375 | ||||||||
\(378\) | −1.76391 | − | 10.9932i | −0.0907259 | − | 0.565431i | ||||
\(379\) | −6.43359 | − | 19.8006i | −0.330472 | − | 1.01709i | −0.968910 | − | 0.247414i | \(-0.920419\pi\) |
0.638438 | − | 0.769673i | \(-0.279581\pi\) | |||||||
\(380\) | 4.93986 | + | 2.06986i | 0.253409 | + | 0.106182i | ||||
\(381\) | 25.1974 | − | 6.76979i | 1.29090 | − | 0.346827i | ||||
\(382\) | 8.90992 | − | 12.2635i | 0.455871 | − | 0.627453i | ||||
\(383\) | 21.4872 | − | 6.98162i | 1.09795 | − | 0.356744i | 0.296634 | − | 0.954991i | \(-0.404136\pi\) |
0.801311 | + | 0.598247i | \(0.204136\pi\) | |||||||
\(384\) | 0.0894846 | − | 1.72974i | 0.00456649 | − | 0.0882703i | ||||
\(385\) | −10.3177 | + | 6.26482i | −0.525840 | + | 0.319285i | ||||
\(386\) | 4.30403 | + | 1.39846i | 0.219069 | + | 0.0711799i | ||||
\(387\) | −4.45599 | − | 20.8259i | −0.226510 | − | 1.05864i | ||||
\(388\) | −10.9523 | − | 15.0745i | −0.556019 | − | 0.765294i | ||||
\(389\) | 7.27619 | − | 22.3938i | 0.368917 | − | 1.13541i | −0.578574 | − | 0.815630i | \(-0.696391\pi\) |
0.947492 | − | 0.319781i | \(-0.103609\pi\) | |||||||
\(390\) | 11.9490 | − | 24.8330i | 0.605062 | − | 1.25747i | ||||
\(391\) | 0.419810 | + | 0.305010i | 0.0212307 | + | 0.0154250i | ||||
\(392\) | −0.744358 | − | 2.29090i | −0.0375958 | − | 0.115708i | ||||
\(393\) | −21.8902 | − | 1.13245i | −1.10421 | − | 0.0571243i | ||||
\(394\) | 4.49801 | + | 1.46149i | 0.226606 | + | 0.0736289i | ||||
\(395\) | −10.4049 | + | 24.8321i | −0.523529 | + | 1.24944i | ||||
\(396\) | −7.51767 | − | 0.779911i | −0.377777 | − | 0.0391920i | ||||
\(397\) | 5.11131i | 0.256529i | 0.991740 | + | 0.128265i | \(0.0409407\pi\) | ||||
−0.991740 | + | 0.128265i | \(0.959059\pi\) | |||||||
\(398\) | − | 8.58975i | − | 0.430565i | ||||||
\(399\) | −6.91221 | − | 5.58970i | −0.346043 | − | 0.279835i | ||||
\(400\) | 4.47345 | − | 2.23345i | 0.223672 | − | 0.111672i | ||||
\(401\) | 13.5172 | + | 9.82082i | 0.675017 | + | 0.490428i | 0.871701 | − | 0.490039i | \(-0.163017\pi\) |
−0.196684 | + | 0.980467i | \(0.563017\pi\) | |||||||
\(402\) | 16.5476 | − | 10.7620i | 0.825319 | − | 0.536759i | ||||
\(403\) | −12.6036 | + | 37.5592i | −0.627828 | + | 1.87096i | ||||
\(404\) | − | 8.95985i | − | 0.445769i | ||||||
\(405\) | 20.1184 | − | 0.498696i | 0.999693 | − | 0.0247804i | ||||
\(406\) | −2.45512 | − | 3.37918i | −0.121846 | − | 0.167706i | ||||
\(407\) | −5.57470 | − | 17.1571i | −0.276327 | − | 0.850448i | ||||
\(408\) | −0.108919 | + | 0.0708368i | −0.00539228 | + | 0.00350695i | ||||
\(409\) | − | 19.6189i | − | 0.970093i | −0.874488 | − | 0.485046i | \(-0.838803\pi\) | ||
0.874488 | − | 0.485046i | \(-0.161197\pi\) | |||||||
\(410\) | 1.30487 | + | 5.53476i | 0.0644428 | + | 0.273342i | ||||
\(411\) | −8.37035 | − | 31.1547i | −0.412879 | − | 1.53675i | ||||
\(412\) | −9.50864 | − | 3.08954i | −0.468457 | − | 0.152211i | ||||
\(413\) | −7.65091 | − | 5.55871i | −0.376477 | − | 0.273526i | ||||
\(414\) | −2.14148 | + | 20.6420i | −0.105248 | + | 1.01450i | ||||
\(415\) | −8.77386 | − | 7.55584i | −0.430692 | − | 0.370902i | ||||
\(416\) | −5.75657 | + | 4.18239i | −0.282239 | + | 0.205059i | ||||
\(417\) | 6.89291 | + | 25.6556i | 0.337547 | + | 1.25636i | ||||
\(418\) | −4.88200 | + | 3.54698i | −0.238787 | + | 0.173489i | ||||
\(419\) | 2.54660 | + | 3.50509i | 0.124409 | + | 0.171235i | 0.866679 | − | 0.498867i | \(-0.166250\pi\) |
−0.742269 | + | 0.670102i | \(0.766250\pi\) | |||||||
\(420\) | −8.16484 | + | 1.48443i | −0.398403 | + | 0.0724330i | ||||
\(421\) | −5.14328 | + | 3.73681i | −0.250668 | + | 0.182121i | −0.706023 | − | 0.708189i | \(-0.749512\pi\) |
0.455355 | + | 0.890310i | \(0.349512\pi\) | |||||||
\(422\) | −5.70383 | − | 4.14407i | −0.277658 | − | 0.201730i | ||||
\(423\) | 38.7338 | + | 4.01839i | 1.88330 | + | 0.195381i | ||||
\(424\) | 3.86683 | − | 5.32224i | 0.187790 | − | 0.258471i | ||||
\(425\) | −0.332785 | − | 0.173004i | −0.0161424 | − | 0.00839194i | ||||
\(426\) | 1.58180 | + | 5.88750i | 0.0766384 | + | 0.285250i | ||||
\(427\) | 0.507118 | + | 1.56075i | 0.0245411 | + | 0.0755299i | ||||
\(428\) | −15.7701 | −0.762275 | ||||||||
\(429\) | 16.9282 | + | 26.0288i | 0.817303 | + | 1.25668i | ||||
\(430\) | −15.4505 | + | 3.64259i | −0.745088 | + | 0.175661i | ||||
\(431\) | 3.13227 | + | 4.31120i | 0.150876 | + | 0.207663i | 0.877764 | − | 0.479093i | \(-0.159034\pi\) |
−0.726888 | + | 0.686756i | \(0.759034\pi\) | |||||||
\(432\) | −4.63456 | − | 2.34965i | −0.222980 | − | 0.113048i | ||||
\(433\) | 10.6241 | 0.510564 | 0.255282 | − | 0.966867i | \(-0.417832\pi\) | ||||
0.255282 | + | 0.966867i | \(0.417832\pi\) | |||||||
\(434\) | 11.3811 | − | 3.57753i | 0.546309 | − | 0.171727i | ||||
\(435\) | 6.64717 | − | 3.57978i | 0.318707 | − | 0.171637i | ||||
\(436\) | 13.7192 | + | 9.96758i | 0.657030 | + | 0.477361i | ||||
\(437\) | 9.73929 | + | 13.4050i | 0.465894 | + | 0.641248i | ||||
\(438\) | 11.5906 | − | 14.3329i | 0.553820 | − | 0.684853i | ||||
\(439\) | 37.3127 | 1.78084 | 0.890418 | − | 0.455143i | \(-0.150412\pi\) | ||||
0.890418 | + | 0.455143i | \(0.150412\pi\) | |||||||
\(440\) | −0.464950 | + | 5.61419i | −0.0221656 | + | 0.267646i | ||||
\(441\) | −7.18781 | − | 0.745690i | −0.342277 | − | 0.0355091i | ||||
\(442\) | 0.507636 | + | 0.164941i | 0.0241458 | + | 0.00784544i | ||||
\(443\) | −3.51800 | + | 10.8273i | −0.167145 | + | 0.514421i | −0.999188 | − | 0.0402911i | \(-0.987171\pi\) |
0.832043 | + | 0.554712i | \(0.187171\pi\) | |||||||
\(444\) | 0.640768 | − | 12.3860i | 0.0304095 | − | 0.587816i | ||||
\(445\) | −13.8957 | + | 3.27604i | −0.658721 | + | 0.155299i | ||||
\(446\) | 9.52602 | + | 6.92106i | 0.451070 | + | 0.327722i | ||||
\(447\) | −2.63353 | + | 6.87441i | −0.124562 | + | 0.325148i | ||||
\(448\) | 2.03784 | + | 0.662134i | 0.0962788 | + | 0.0312829i | ||||
\(449\) | 28.9439 | − | 21.0290i | 1.36595 | − | 0.992419i | 0.367906 | − | 0.929863i | \(-0.380075\pi\) |
0.998041 | − | 0.0625559i | \(-0.0199252\pi\) | |||||||
\(450\) | −0.682692 | − | 14.9845i | −0.0321824 | − | 0.706374i | ||||
\(451\) | −6.09329 | − | 1.97983i | −0.286922 | − | 0.0932266i | ||||
\(452\) | −9.00393 | + | 6.54174i | −0.423509 | + | 0.307697i | ||||
\(453\) | −27.0477 | − | 1.39926i | −1.27081 | − | 0.0657429i | ||||
\(454\) | 3.74752 | + | 11.5337i | 0.175880 | + | 0.541303i | ||||
\(455\) | 25.8331 | + | 22.2469i | 1.21108 | + | 1.04295i | ||||
\(456\) | −4.00664 | + | 1.07647i | −0.187628 | + | 0.0504101i | ||||
\(457\) | −4.28719 | + | 13.1946i | −0.200546 | + | 0.617218i | 0.799321 | + | 0.600905i | \(0.205193\pi\) |
−0.999867 | + | 0.0163130i | \(0.994807\pi\) | |||||||
\(458\) | −0.441857 | + | 0.143568i | −0.0206466 | + | 0.00670850i | ||||
\(459\) | 0.0617524 | + | 0.384859i | 0.00288235 | + | 0.0179637i | ||||
\(460\) | 15.4154 | + | 1.27666i | 0.718748 | + | 0.0595245i | ||||
\(461\) | 9.96410 | + | 30.6663i | 0.464074 | + | 1.42827i | 0.860143 | + | 0.510053i | \(0.170374\pi\) |
−0.396069 | + | 0.918221i | \(0.629626\pi\) | |||||||
\(462\) | 3.34486 | − | 8.73120i | 0.155617 | − | 0.406212i | ||||
\(463\) | 2.44347 | + | 1.77529i | 0.113558 | + | 0.0825046i | 0.643115 | − | 0.765770i | \(-0.277642\pi\) |
−0.529557 | + | 0.848274i | \(0.677642\pi\) | |||||||
\(464\) | −1.94935 | −0.0904965 | ||||||||
\(465\) | 3.65344 | + | 21.2521i | 0.169424 | + | 0.985543i | ||||
\(466\) | 7.71479 | 0.357381 | ||||||||
\(467\) | −14.9161 | − | 10.8372i | −0.690236 | − | 0.501486i | 0.186502 | − | 0.982455i | \(-0.440285\pi\) |
−0.876738 | + | 0.480969i | \(0.840285\pi\) | |||||||
\(468\) | 4.46629 | + | 20.8741i | 0.206454 | + | 0.964904i | ||||
\(469\) | 7.54603 | + | 23.2243i | 0.348443 | + | 1.07240i | ||||
\(470\) | 2.39560 | − | 28.9264i | 0.110501 | − | 1.33428i | ||||
\(471\) | 1.61224 | − | 1.04854i | 0.0742881 | − | 0.0483144i | ||||
\(472\) | −4.19758 | + | 1.36387i | −0.193209 | + | 0.0627774i | ||||
\(473\) | 5.52677 | − | 17.0097i | 0.254121 | − | 0.782105i | ||||
\(474\) | −5.41126 | − | 20.1409i | −0.248548 | − | 0.925102i | ||||
\(475\) | −8.39902 | − | 8.53751i | −0.385373 | − | 0.391728i | ||||
\(476\) | −0.0496690 | − | 0.152866i | −0.00227658 | − | 0.00700658i | ||||
\(477\) | −9.89096 | − | 17.0785i | −0.452876 | − | 0.781972i | ||||
\(478\) | −15.0143 | + | 10.9085i | −0.686736 | + | 0.498943i | ||||
\(479\) | −28.6698 | − | 9.31538i | −1.30996 | − | 0.425630i | −0.430922 | − | 0.902389i | \(-0.641811\pi\) |
−0.879034 | + | 0.476759i | \(0.841811\pi\) | |||||||
\(480\) | −1.67929 | + | 3.48998i | −0.0766489 | + | 0.159295i | ||||
\(481\) | −41.2208 | + | 29.9486i | −1.87951 | + | 1.36554i | ||||
\(482\) | −3.55905 | − | 1.15641i | −0.162110 | − | 0.0526729i | ||||
\(483\) | −23.9741 | − | 9.18430i | −1.09086 | − | 0.417900i | ||||
\(484\) | 3.76431 | + | 2.73493i | 0.171105 | + | 0.124315i | ||||
\(485\) | 9.56078 | + | 40.5532i | 0.434133 | + | 1.84143i | ||||
\(486\) | −12.0814 | + | 9.85084i | −0.548025 | + | 0.446843i | ||||
\(487\) | −6.19216 | + | 19.0575i | −0.280594 | + | 0.863579i | 0.707091 | + | 0.707122i | \(0.250007\pi\) |
−0.987685 | + | 0.156456i | \(0.949993\pi\) | |||||||
\(488\) | 0.728399 | + | 0.236671i | 0.0329731 | + | 0.0107136i | ||||
\(489\) | −9.99536 | − | 8.08295i | −0.452006 | − | 0.365524i | ||||
\(490\) | −0.444549 | + | 5.36785i | −0.0200827 | + | 0.242495i | ||||
\(491\) | 21.2534 | 0.959154 | 0.479577 | − | 0.877500i | \(-0.340790\pi\) | ||||
0.479577 | + | 0.877500i | \(0.340790\pi\) | |||||||
\(492\) | −3.42499 | − | 2.76969i | −0.154410 | − | 0.124867i | ||||
\(493\) | 0.0859507 | + | 0.118301i | 0.00387102 | + | 0.00532801i | ||||
\(494\) | 13.7885 | + | 10.0179i | 0.620375 | + | 0.450729i | ||||
\(495\) | 14.8300 | + | 8.10480i | 0.666561 | + | 0.364284i | ||||
\(496\) | 1.77128 | − | 5.27850i | 0.0795328 | − | 0.237012i | ||||
\(497\) | −7.54169 | −0.338291 | ||||||||
\(498\) | 8.95701 | + | 0.463374i | 0.401373 | + | 0.0207643i | ||||
\(499\) | 14.5305 | + | 19.9995i | 0.650474 | + | 0.895300i | 0.999120 | − | 0.0419544i | \(-0.0133584\pi\) |
−0.348646 | + | 0.937255i | \(0.613358\pi\) | |||||||
\(500\) | −11.1558 | + | 0.740426i | −0.498902 | + | 0.0331128i | ||||
\(501\) | 13.1690 | − | 8.56466i | 0.588348 | − | 0.382641i | ||||
\(502\) | −23.4239 | −1.04546 | ||||||||
\(503\) | −0.288073 | − | 0.886597i | −0.0128445 | − | 0.0395314i | 0.944429 | − | 0.328716i | \(-0.106616\pi\) |
−0.957273 | + | 0.289185i | \(0.906616\pi\) | |||||||
\(504\) | 4.29483 | − | 4.78282i | 0.191307 | − | 0.213044i | ||||
\(505\) | −7.74261 | + | 18.4783i | −0.344542 | + | 0.822272i | ||||
\(506\) | −10.2438 | + | 14.0993i | −0.455391 | + | 0.626792i | ||||
\(507\) | 40.9837 | − | 50.6804i | 1.82015 | − | 2.25079i | ||||
\(508\) | 12.1867 | + | 8.85417i | 0.540698 | + | 0.392840i | ||||
\(509\) | −9.09173 | + | 6.60553i | −0.402984 | + | 0.292785i | −0.770755 | − | 0.637131i | \(-0.780121\pi\) |
0.367771 | + | 0.929916i | \(0.380121\pi\) | |||||||
\(510\) | 0.285841 | − | 0.0519682i | 0.0126572 | − | 0.00230119i | ||||
\(511\) | 13.4035 | + | 18.4483i | 0.592934 | + | 0.816103i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −1.92219 | + | 12.2968i | −0.0848668 | + | 0.542919i | ||||
\(514\) | 2.17355 | − | 1.57917i | 0.0958710 | − | 0.0696543i | ||||
\(515\) | 16.9403 | + | 14.5885i | 0.746477 | + | 0.642848i | ||||
\(516\) | 7.73169 | − | 9.56099i | 0.340369 | − | 0.420899i | ||||
\(517\) | 26.4568 | + | 19.2220i | 1.16357 | + | 0.845383i | ||||
\(518\) | 14.5922 | + | 4.74131i | 0.641146 | + | 0.208321i | ||||
\(519\) | 4.58827 | − | 1.23273i | 0.201403 | − | 0.0541110i | ||||
\(520\) | 15.4862 | − | 3.65101i | 0.679115 | − | 0.160107i | ||||
\(521\) | 17.2138i | 0.754151i | 0.926183 | + | 0.377075i | \(0.123070\pi\) | ||||
−0.926183 | + | 0.377075i | \(0.876930\pi\) | |||||||
\(522\) | −2.37143 | + | 5.34566i | −0.103795 | + | 0.233973i | ||||
\(523\) | 1.56602 | + | 4.81971i | 0.0684773 | + | 0.210751i | 0.979439 | − | 0.201739i | \(-0.0646592\pi\) |
−0.910962 | + | 0.412490i | \(0.864659\pi\) | |||||||
\(524\) | −7.43854 | − | 10.2383i | −0.324954 | − | 0.447261i | ||||
\(525\) | 18.1214 | + | 3.99419i | 0.790885 | + | 0.174321i | ||||
\(526\) | − | 12.9517i | − | 0.564722i | ||||||
\(527\) | −0.398437 | + | 0.125245i | −0.0173562 | + | 0.00545576i | ||||
\(528\) | −2.37906 | − | 3.65804i | −0.103535 | − | 0.159196i | ||||
\(529\) | 20.1065 | + | 14.6082i | 0.874197 | + | 0.635141i | ||||
\(530\) | −12.5739 | + | 7.63476i | −0.546176 | + | 0.331633i | ||||
\(531\) | −1.36632 | + | 13.1701i | −0.0592930 | + | 0.571533i | ||||
\(532\) | − | 5.13236i | − | 0.222516i | ||||||
\(533\) | 18.0953i | 0.783794i | ||||||||
\(534\) | 6.95366 | − | 8.59888i | 0.300914 | − | 0.372110i | ||||
\(535\) | 32.5233 | + | 13.6276i | 1.40610 | + | 0.589174i | ||||
\(536\) | 10.8388 | + | 3.52172i | 0.468163 | + | 0.152115i | ||||
\(537\) | −0.00281220 | + | 0.0543598i | −0.000121355 | + | 0.00234580i | ||||
\(538\) | −1.24892 | − | 3.84378i | −0.0538447 | − | 0.165717i | ||||
\(539\) | −4.90957 | − | 3.56701i | −0.211470 | − | 0.153642i | ||||
\(540\) | 7.52760 | + | 8.85072i | 0.323936 | + | 0.380874i | ||||
\(541\) | −0.932301 | + | 2.86933i | −0.0400828 | + | 0.123362i | −0.969096 | − | 0.246685i | \(-0.920659\pi\) |
0.929013 | + | 0.370047i | \(0.120659\pi\) | |||||||
\(542\) | 6.32726 | + | 8.70872i | 0.271779 | + | 0.374072i | ||||
\(543\) | −14.5941 | + | 38.0954i | −0.626291 | + | 1.63483i | ||||
\(544\) | −0.0713422 | − | 0.0231805i | −0.00305877 | − | 0.000993855i | ||||
\(545\) | −19.6802 | − | 32.4119i | −0.843009 | − | 1.38837i | ||||
\(546\) | −26.3724 | − | 1.36433i | −1.12863 | − | 0.0583877i | ||||
\(547\) | −28.1174 | + | 9.13590i | −1.20221 | + | 0.390623i | −0.840575 | − | 0.541695i | \(-0.817783\pi\) |
−0.361639 | + | 0.932318i | \(0.617783\pi\) | |||||||
\(548\) | 10.9475 | − | 15.0680i | 0.467655 | − | 0.643672i | ||||
\(549\) | 1.53513 | − | 1.70956i | 0.0655178 | − | 0.0729621i | ||||
\(550\) | 5.81036 | − | 11.1766i | 0.247755 | − | 0.476572i | ||||
\(551\) | 1.44287 | + | 4.44069i | 0.0614683 | + | 0.189180i | ||||
\(552\) | −10.0442 | + | 6.53242i | −0.427511 | + | 0.278038i | ||||
\(553\) | 25.7998 | 1.09712 | ||||||||
\(554\) | 0.420329 | + | 1.29364i | 0.0178581 | + | 0.0549615i | ||||
\(555\) | −12.0248 | + | 24.9905i | −0.510425 | + | 1.06079i | ||||
\(556\) | −9.01520 | + | 12.4084i | −0.382330 | + | 0.526232i | ||||
\(557\) | − | 2.52025i | − | 0.106787i | −0.998574 | − | 0.0533933i | \(-0.982996\pi\) | ||
0.998574 | − | 0.0533933i | \(-0.0170037\pi\) | |||||||
\(558\) | −12.3203 | − | 11.2787i | −0.521560 | − | 0.477467i | ||||
\(559\) | −50.5137 | −2.13650 | ||||||||
\(560\) | −3.63054 | − | 3.12653i | −0.153418 | − | 0.132120i | ||||
\(561\) | −0.117099 | + | 0.305669i | −0.00494393 | + | 0.0129053i | ||||
\(562\) | −13.0441 | + | 4.23828i | −0.550232 | + | 0.178781i | ||||
\(563\) | 40.3785 | 1.70175 | 0.850875 | − | 0.525368i | \(-0.176072\pi\) | ||||
0.850875 | + | 0.525368i | \(0.176072\pi\) | |||||||
\(564\) | 12.2578 | + | 18.8476i | 0.516147 | + | 0.793627i | ||||
\(565\) | 24.2222 | − | 5.71059i | 1.01904 | − | 0.240246i | ||||
\(566\) | 3.10314 | + | 1.00827i | 0.130435 | + | 0.0423809i | ||||
\(567\) | −7.89106 | − | 17.5960i | −0.331393 | − | 0.738962i | ||||
\(568\) | −2.06883 | + | 2.84749i | −0.0868060 | + | 0.119478i | ||||
\(569\) | 4.44051 | + | 13.6665i | 0.186156 | + | 0.572929i | 0.999966 | − | 0.00820156i | \(-0.00261067\pi\) |
−0.813811 | + | 0.581130i | \(0.802611\pi\) | |||||||
\(570\) | 9.19328 | + | 1.24228i | 0.385064 | + | 0.0520333i | ||||
\(571\) | −10.0179 | − | 13.7884i | −0.419235 | − | 0.577027i | 0.546206 | − | 0.837651i | \(-0.316072\pi\) |
−0.965440 | + | 0.260624i | \(0.916072\pi\) | |||||||
\(572\) | −5.53955 | + | 17.0490i | −0.231620 | + | 0.712854i | ||||
\(573\) | 9.39254 | − | 24.5177i | 0.392379 | − | 1.02424i | ||||
\(574\) | 4.40839 | − | 3.20289i | 0.184003 | − | 0.133686i | ||||
\(575\) | −30.6887 | − | 15.9541i | −1.27981 | − | 0.665331i | ||||
\(576\) | −0.627684 | − | 2.93360i | −0.0261535 | − | 0.122233i | ||||
\(577\) | −7.13488 | + | 9.82032i | −0.297029 | + | 0.408825i | −0.931281 | − | 0.364301i | \(-0.881308\pi\) |
0.634252 | + | 0.773126i | \(0.281308\pi\) | |||||||
\(578\) | −5.25155 | − | 16.1626i | −0.218436 | − | 0.672276i | ||||
\(579\) | 7.82797 | + | 0.404965i | 0.325319 | + | 0.0168298i | ||||
\(580\) | 4.02023 | + | 1.68452i | 0.166931 | + | 0.0699461i | ||||
\(581\) | −3.42869 | + | 10.5524i | −0.142246 | + | 0.437789i | ||||
\(582\) | −25.0950 | − | 20.2935i | −1.04022 | − | 0.841195i | ||||
\(583\) | − | 16.5738i | − | 0.686418i | ||||||
\(584\) | 10.6423 | 0.440381 | ||||||||
\(585\) | 8.82721 | − | 46.9090i | 0.364960 | − | 1.93945i | ||||
\(586\) | −13.2256 | + | 9.60893i | −0.546343 | + | 0.396941i | ||||
\(587\) | −20.4661 | + | 28.1692i | −0.844726 | + | 1.16267i | 0.140274 | + | 0.990113i | \(0.455202\pi\) |
−0.985000 | + | 0.172553i | \(0.944798\pi\) | |||||||
\(588\) | −2.27467 | − | 3.49753i | −0.0938059 | − | 0.144236i | ||||
\(589\) | −13.3357 | − | 0.128005i | −0.549487 | − | 0.00527434i | ||||
\(590\) | 9.83542 | + | 0.814539i | 0.404918 | + | 0.0335341i | ||||
\(591\) | 8.18077 | + | 0.423216i | 0.336512 | + | 0.0174088i | ||||
\(592\) | 5.79309 | − | 4.20892i | 0.238094 | − | 0.172986i | ||||
\(593\) | −14.7851 | − | 45.5038i | −0.607151 | − | 1.86862i | −0.481267 | − | 0.876574i | \(-0.659823\pi\) |
−0.125884 | − | 0.992045i | \(-0.540177\pi\) | |||||||
\(594\) | −12.9255 | + | 2.07396i | −0.530341 | + | 0.0850955i | ||||
\(595\) | −0.0296636 | + | 0.358182i | −0.00121609 | + | 0.0146840i | ||||
\(596\) | −4.04219 | + | 1.31339i | −0.165575 | + | 0.0537985i | ||||
\(597\) | −3.86035 | − | 14.3683i | −0.157994 | − | 0.588057i | ||||
\(598\) | 46.8131 | + | 15.2105i | 1.91433 | + | 0.622003i | ||||
\(599\) | −18.0233 | + | 24.8070i | −0.736414 | + | 1.01359i | 0.262403 | + | 0.964958i | \(0.415485\pi\) |
−0.998817 | + | 0.0486281i | \(0.984515\pi\) | |||||||
\(600\) | 6.47913 | − | 5.74638i | 0.264509 | − | 0.234595i | ||||
\(601\) | 3.19149 | − | 4.39271i | 0.130184 | − | 0.179183i | −0.738949 | − | 0.673761i | \(-0.764678\pi\) |
0.869133 | + | 0.494579i | \(0.164678\pi\) | |||||||
\(602\) | 8.94098 | + | 12.3062i | 0.364407 | + | 0.501563i | ||||
\(603\) | 22.8431 | − | 25.4386i | 0.930243 | − | 1.03594i | ||||
\(604\) | −9.19112 | − | 12.6505i | −0.373981 | − | 0.514741i | ||||
\(605\) | −5.39991 | − | 8.89327i | −0.219538 | − | 0.361563i | ||||
\(606\) | −4.02668 | − | 14.9874i | −0.163573 | − | 0.608822i | ||||
\(607\) | 9.53510 | + | 13.1239i | 0.387018 | + | 0.532684i | 0.957427 | − | 0.288677i | \(-0.0932153\pi\) |
−0.570409 | + | 0.821361i | \(0.693215\pi\) | |||||||
\(608\) | −1.93781 | − | 1.40790i | −0.0785887 | − | 0.0570980i | ||||
\(609\) | −5.62540 | − | 4.54910i | −0.227953 | − | 0.184339i | ||||
\(610\) | −1.29769 | − | 1.11754i | −0.0525419 | − | 0.0452479i | ||||
\(611\) | 28.5418 | − | 87.8428i | 1.15468 | − | 3.55374i | ||||
\(612\) | −0.150357 | + | 0.167440i | −0.00607780 | + | 0.00676838i | ||||
\(613\) | 6.33860 | + | 19.5082i | 0.256014 | + | 0.787930i | 0.993628 | + | 0.112707i | \(0.0359523\pi\) |
−0.737614 | + | 0.675222i | \(0.764048\pi\) | |||||||
\(614\) | − | 0.694153i | − | 0.0280137i | ||||||
\(615\) | 4.67008 | + | 8.67173i | 0.188316 | + | 0.349678i | ||||
\(616\) | 5.13400 | − | 1.66814i | 0.206855 | − | 0.0672112i | ||||
\(617\) | −4.74513 | + | 3.44754i | −0.191032 | + | 0.138793i | −0.679190 | − | 0.733962i | \(-0.737669\pi\) |
0.488158 | + | 0.872755i | \(0.337669\pi\) | |||||||
\(618\) | −17.2939 | − | 0.894665i | −0.695662 | − | 0.0359887i | ||||
\(619\) | − | 1.30523i | − | 0.0524615i | −0.999656 | − | 0.0262307i | \(-0.991650\pi\) | ||
0.999656 | − | 0.0262307i | \(-0.00835046\pi\) | |||||||
\(620\) | −8.21438 | + | 9.35543i | −0.329897 | + | 0.375723i | ||||
\(621\) | 5.69467 | + | 35.4909i | 0.228519 | + | 1.42420i | ||||
\(622\) | 5.53855 | − | 7.62316i | 0.222076 | − | 0.305661i | ||||
\(623\) | 8.04126 | + | 11.0679i | 0.322166 | + | 0.443424i | ||||
\(624\) | −7.74957 | + | 9.58310i | −0.310231 | + | 0.383631i | ||||
\(625\) | 23.6469 | + | 8.11322i | 0.945876 | + | 0.324529i | ||||
\(626\) | −12.7367 | −0.509060 | ||||||||
\(627\) | −6.57221 | + | 8.12718i | −0.262469 | + | 0.324568i | ||||
\(628\) | 1.05602 | + | 0.343123i | 0.0421400 | + | 0.0136921i | ||||
\(629\) | −0.510856 | − | 0.165987i | −0.0203692 | − | 0.00661835i | ||||
\(630\) | −12.9904 | + | 6.15245i | −0.517552 | + | 0.245119i | ||||
\(631\) | −11.5024 | + | 3.73735i | −0.457903 | + | 0.148782i | −0.528881 | − | 0.848696i | \(-0.677388\pi\) |
0.0709776 | + | 0.997478i | \(0.477388\pi\) | |||||||
\(632\) | 7.07736 | − | 9.74115i | 0.281522 | − | 0.387482i | ||||
\(633\) | −11.4034 | − | 4.36854i | −0.453243 | − | 0.173634i | ||||
\(634\) | −0.745683 | + | 2.29498i | −0.0296149 | + | 0.0911451i | ||||
\(635\) | −17.4819 | − | 28.7914i | −0.693748 | − | 1.14255i | ||||
\(636\) | 4.07628 | − | 10.6405i | 0.161635 | − | 0.421922i | ||||
\(637\) | −5.29649 | + | 16.3009i | −0.209855 | + | 0.645866i | ||||
\(638\) | −3.97315 | + | 2.88666i | −0.157298 | + | 0.114284i | ||||
\(639\) | 5.29185 | + | 9.13733i | 0.209342 | + | 0.361467i | ||||
\(640\) | −2.17640 | + | 0.513106i | −0.0860298 | + | 0.0202823i | ||||
\(641\) | 23.5840 | + | 17.1348i | 0.931514 | + | 0.676784i | 0.946363 | − | 0.323105i | \(-0.104727\pi\) |
−0.0148491 | + | 0.999890i | \(0.504727\pi\) | |||||||
\(642\) | −26.3791 | + | 7.08728i | −1.04110 | + | 0.279713i | ||||
\(643\) | 4.61237 | − | 14.1954i | 0.181894 | − | 0.559813i | −0.817987 | − | 0.575237i | \(-0.804910\pi\) |
0.999881 | + | 0.0154243i | \(0.00490989\pi\) | |||||||
\(644\) | −4.58037 | − | 14.0969i | −0.180492 | − | 0.555497i | ||||
\(645\) | −24.2075 | + | 13.0367i | −0.953168 | + | 0.513320i | ||||
\(646\) | 0.179678i | 0.00706932i | ||||||||
\(647\) | −25.1119 | + | 8.15936i | −0.987252 | + | 0.320777i | −0.757760 | − | 0.652533i | \(-0.773706\pi\) |
−0.229491 | + | 0.973311i | \(0.573706\pi\) | |||||||
\(648\) | −8.80833 | − | 1.84750i | −0.346024 | − | 0.0725768i | ||||
\(649\) | −6.53578 | + | 8.99572i | −0.256552 | + | 0.353113i | ||||
\(650\) | −35.0929 | − | 5.85271i | −1.37645 | − | 0.229562i | ||||
\(651\) | 17.4297 | − | 11.0990i | 0.683122 | − | 0.435006i | ||||
\(652\) | − | 7.42162i | − | 0.290653i | ||||||
\(653\) | −26.5659 | − | 19.3013i | −1.03961 | − | 0.755318i | −0.0693973 | − | 0.997589i | \(-0.522108\pi\) |
−0.970209 | + | 0.242271i | \(0.922108\pi\) | |||||||
\(654\) | 27.4281 | + | 10.5075i | 1.07252 | + | 0.410875i | ||||
\(655\) | 6.49345 | + | 27.5428i | 0.253720 | + | 1.07619i | ||||
\(656\) | − | 2.54308i | − | 0.0992905i | ||||||
\(657\) | 12.9466 | − | 29.1841i | 0.505093 | − | 1.13858i | ||||
\(658\) | −26.4523 | + | 8.59487i | −1.03122 | + | 0.335063i | ||||
\(659\) | 3.17011 | + | 1.03003i | 0.123490 | + | 0.0401243i | 0.370110 | − | 0.928988i | \(-0.379320\pi\) |
−0.246620 | + | 0.969112i | \(0.579320\pi\) | |||||||
\(660\) | 1.74536 | + | 9.59998i | 0.0679379 | + | 0.373679i | ||||
\(661\) | −29.0102 | − | 21.0772i | −1.12837 | − | 0.819807i | −0.142911 | − | 0.989736i | \(-0.545646\pi\) |
−0.985456 | + | 0.169929i | \(0.945646\pi\) | |||||||
\(662\) | −0.200654 | + | 0.0651963i | −0.00779863 | + | 0.00253393i | ||||
\(663\) | 0.923265 | + | 0.0477633i | 0.0358566 | + | 0.00185497i | ||||
\(664\) | 3.04370 | + | 4.18929i | 0.118118 | + | 0.162576i | ||||
\(665\) | −4.43511 | + | 10.5847i | −0.171986 | + | 0.410457i | ||||
\(666\) | −4.49462 | − | 21.0065i | −0.174163 | − | 0.813985i | ||||
\(667\) | 7.92618 | + | 10.9095i | 0.306903 | + | 0.422416i | ||||
\(668\) | 8.62576 | + | 2.80268i | 0.333741 | + | 0.108439i | ||||
\(669\) | 19.0449 | + | 7.29594i | 0.736318 | + | 0.282078i | ||||
\(670\) | −19.3099 | − | 16.6293i | −0.746008 | − | 0.642444i | ||||
\(671\) | 1.83508 | − | 0.596255i | 0.0708426 | − | 0.0230182i | ||||
\(672\) | 3.70633 | + | 0.191740i | 0.142975 | + | 0.00739652i | ||||
\(673\) | 4.69943 | − | 14.4634i | 0.181150 | − | 0.557522i | −0.818711 | − | 0.574206i | \(-0.805311\pi\) |
0.999861 | + | 0.0166839i | \(0.00531089\pi\) | |||||||
\(674\) | −6.80218 | + | 20.9350i | −0.262010 | + | 0.806385i | ||||
\(675\) | −7.87618 | − | 24.7581i | −0.303154 | − | 0.952942i | ||||
\(676\) | 37.6305 | 1.44733 | ||||||||
\(677\) | 19.1901i | 0.737534i | 0.929522 | + | 0.368767i | \(0.120220\pi\) | ||||
−0.929522 | + | 0.368767i | \(0.879780\pi\) | |||||||
\(678\) | −12.1212 | + | 14.9891i | −0.465512 | + | 0.575651i | ||||
\(679\) | 32.3004 | − | 23.4676i | 1.23957 | − | 0.900604i | ||||
\(680\) | 0.127101 | + | 0.109456i | 0.00487409 | + | 0.00419745i | ||||
\(681\) | 11.4520 | + | 17.6086i | 0.438841 | + | 0.674762i | ||||
\(682\) | −4.20636 | − | 13.3815i | −0.161070 | − | 0.512405i | ||||
\(683\) | 16.3973 | 0.627425 | 0.313713 | − | 0.949518i | \(-0.398427\pi\) | ||||
0.313713 | + | 0.949518i | \(0.398427\pi\) | |||||||
\(684\) | −6.21825 | + | 3.60127i | −0.237761 | + | 0.137698i | ||||
\(685\) | −35.5985 | + | 21.6151i | −1.36015 | + | 0.825869i | ||||
\(686\) | 19.1736 | − | 6.22988i | 0.732051 | − | 0.237858i | ||||
\(687\) | −0.674587 | + | 0.438727i | −0.0257371 | + | 0.0167385i | ||||
\(688\) | 7.09910 | 0.270650 | ||||||||
\(689\) | −44.5194 | + | 14.4652i | −1.69605 | + | 0.551081i | ||||
\(690\) | 26.3596 | − | 4.79239i | 1.00349 | − | 0.182443i | ||||
\(691\) | 11.3762 | − | 35.0124i | 0.432771 | − | 1.33193i | −0.462582 | − | 0.886576i | \(-0.653077\pi\) |
0.895353 | − | 0.445356i | \(-0.146923\pi\) | |||||||
\(692\) | 2.21912 | + | 1.61229i | 0.0843583 | + | 0.0612899i | ||||
\(693\) | 1.67112 | − | 16.1082i | 0.0634807 | − | 0.611899i | ||||
\(694\) | 4.36169 | − | 6.00335i | 0.165567 | − | 0.227884i | ||||
\(695\) | 29.3150 | − | 17.7998i | 1.11198 | − | 0.675186i | ||||
\(696\) | −3.26074 | + | 0.876065i | −0.123598 | + | 0.0332072i | ||||
\(697\) | −0.154332 | + | 0.112129i | −0.00584576 | + | 0.00424719i | ||||
\(698\) | −15.1310 | + | 10.9933i | −0.572718 | + | 0.416104i | ||||
\(699\) | 12.9048 | − | 3.46713i | 0.488103 | − | 0.131139i | ||||
\(700\) | 4.78563 | + | 9.58529i | 0.180880 | + | 0.362290i | ||||
\(701\) | 12.2564 | − | 16.8694i | 0.462917 | − | 0.637150i | −0.512194 | − | 0.858870i | \(-0.671167\pi\) |
0.975110 | + | 0.221720i | \(0.0711671\pi\) | |||||||
\(702\) | 16.8520 | + | 32.9095i | 0.636037 | + | 1.24209i | ||||
\(703\) | −13.8760 | − | 10.0815i | −0.523343 | − | 0.380231i | ||||
\(704\) | 0.778518 | − | 2.39603i | 0.0293415 | − | 0.0903039i | ||||
\(705\) | −8.99273 | − | 49.4627i | −0.338686 | − | 1.86287i | ||||
\(706\) | 19.2230 | − | 6.24594i | 0.723469 | − | 0.235069i | ||||
\(707\) | 19.1984 | 0.722029 | ||||||||
\(708\) | −6.40847 | + | 4.16784i | −0.240845 | + | 0.156637i | ||||
\(709\) | 2.22544 | − | 0.723088i | 0.0835780 | − | 0.0271561i | −0.266930 | − | 0.963716i | \(-0.586009\pi\) |
0.350508 | + | 0.936560i | \(0.386009\pi\) | |||||||
\(710\) | 6.72727 | − | 4.08474i | 0.252470 | − | 0.153298i | ||||
\(711\) | −18.1032 | − | 31.2584i | −0.678922 | − | 1.17228i | ||||
\(712\) | 6.38473 | 0.239278 | ||||||||
\(713\) | −36.7430 | + | 11.5498i | −1.37604 | + | 0.432544i | ||||
\(714\) | −0.151783 | − | 0.233381i | −0.00568033 | − | 0.00873407i | ||||
\(715\) | 26.1573 | − | 30.3739i | 0.978226 | − | 1.13592i | ||||
\(716\) | −0.0254246 | + | 0.0184721i | −0.000950164 | + | 0.000690334i | ||||
\(717\) | −20.2124 | + | 24.9946i | −0.754846 | + | 0.933440i | ||||
\(718\) | 23.9949i | 0.895481i | ||||||||
\(719\) | −32.0159 | −1.19399 | −0.596995 | − | 0.802245i | \(-0.703639\pi\) | ||||
−0.596995 | + | 0.802245i | \(0.703639\pi\) | |||||||
\(720\) | −1.24056 | + | 6.59250i | −0.0462329 | + | 0.245688i | ||||
\(721\) | 6.62000 | − | 20.3743i | 0.246542 | − | 0.758777i | ||||
\(722\) | 4.09840 | − | 12.6136i | 0.152527 | − | 0.469428i | ||||
\(723\) | −6.47304 | − | 0.334870i | −0.240735 | − | 0.0124540i | ||||
\(724\) | −22.4004 | + | 7.27832i | −0.832503 | + | 0.270496i | ||||
\(725\) | −6.83542 | − | 6.94813i | −0.253861 | − | 0.258047i | ||||
\(726\) | 7.52578 | + | 2.88307i | 0.279308 | + | 0.107001i | ||||
\(727\) | 26.4463 | + | 8.59294i | 0.980841 | + | 0.318694i | 0.755184 | − | 0.655513i | \(-0.227547\pi\) |
0.225656 | + | 0.974207i | \(0.427547\pi\) | |||||||
\(728\) | −8.96165 | − | 12.3347i | −0.332141 | − | 0.457153i | ||||
\(729\) | −15.7819 | + | 21.9074i | −0.584514 | + | 0.811383i | ||||
\(730\) | −21.9480 | − | 9.19648i | −0.812333 | − | 0.340377i | ||||
\(731\) | −0.313013 | − | 0.430825i | −0.0115772 | − | 0.0159346i | ||||
\(732\) | 1.32478 | + | 0.0685349i | 0.0489652 | + | 0.00253312i | ||||
\(733\) | 15.1662 | − | 4.92781i | 0.560178 | − | 0.182013i | −0.0152234 | − | 0.999884i | \(-0.504846\pi\) |
0.575401 | + | 0.817871i | \(0.304846\pi\) | |||||||
\(734\) | 22.9031 | + | 16.6401i | 0.845370 | + | 0.614198i | ||||
\(735\) | 1.66877 | + | 9.17876i | 0.0615536 | + | 0.338564i | ||||
\(736\) | −6.57902 | − | 2.13765i | −0.242506 | − | 0.0787949i | ||||
\(737\) | 27.3065 | − | 8.87241i | 1.00585 | − | 0.326819i | ||||
\(738\) | −6.97382 | − | 3.09371i | −0.256710 | − | 0.113881i | ||||
\(739\) | 17.5548i | 0.645763i | 0.946439 | + | 0.322881i | \(0.104652\pi\) | ||||
−0.946439 | + | 0.322881i | \(0.895348\pi\) | |||||||
\(740\) | −15.5844 | + | 3.67417i | −0.572896 | + | 0.135065i | ||||
\(741\) | 27.5667 | + | 10.5606i | 1.01269 | + | 0.387953i | ||||
\(742\) | 11.4040 | + | 8.28550i | 0.418654 | + | 0.304170i | ||||
\(743\) | 21.1218i | 0.774884i | 0.921894 | + | 0.387442i | \(0.126641\pi\) | ||||
−0.921894 | + | 0.387442i | \(0.873359\pi\) | |||||||
\(744\) | 0.590645 | − | 9.62555i | 0.0216541 | − | 0.352890i | ||||
\(745\) | 9.47134 | + | 0.784387i | 0.347003 | + | 0.0287377i | ||||
\(746\) | 8.30380 | − | 11.4292i | 0.304024 | − | 0.418453i | ||||
\(747\) | 15.1909 | − | 3.25030i | 0.555806 | − | 0.118922i | ||||
\(748\) | −0.179735 | + | 0.0583995i | −0.00657176 | + | 0.00213530i | ||||
\(749\) | − | 33.7907i | − | 1.23468i | ||||||
\(750\) | −18.3279 | + | 6.25210i | −0.669240 | + | 0.228294i | ||||
\(751\) | −6.57766 | − | 20.2439i | −0.240022 | − | 0.738712i | −0.996415 | − | 0.0845949i | \(-0.973040\pi\) |
0.756393 | − | 0.654117i | \(-0.226960\pi\) | |||||||
\(752\) | −4.01122 | + | 12.3453i | −0.146274 | + | 0.450185i | ||||
\(753\) | −39.1818 | + | 10.5270i | −1.42786 | + | 0.383625i | ||||
\(754\) | 11.2216 | + | 8.15296i | 0.408666 | + | 0.296913i | ||||
\(755\) | 8.02336 | + | 34.0321i | 0.292000 | + | 1.23855i | ||||
\(756\) | 5.03462 | − | 9.93051i | 0.183108 | − | 0.361169i | ||||
\(757\) | 7.18579 | − | 5.22078i | 0.261172 | − | 0.189753i | −0.449492 | − | 0.893285i | \(-0.648395\pi\) |
0.710664 | + | 0.703532i | \(0.248395\pi\) | |||||||
\(758\) | 6.43359 | − | 19.8006i | 0.233679 | − | 0.719189i | ||||
\(759\) | −10.7986 | + | 28.1881i | −0.391966 | + | 1.02316i | ||||
\(760\) | 2.77980 | + | 4.57813i | 0.100834 | + | 0.166066i | ||||
\(761\) | −1.05211 | + | 3.23806i | −0.0381389 | + | 0.117380i | −0.968313 | − | 0.249738i | \(-0.919655\pi\) |
0.930174 | + | 0.367118i | \(0.119655\pi\) | |||||||
\(762\) | 24.3643 | + | 9.33377i | 0.882625 | + | 0.338127i | ||||
\(763\) | −21.3576 | + | 29.3963i | −0.773198 | + | 1.06422i | ||||
\(764\) | 14.4166 | − | 4.68422i | 0.521573 | − | 0.169469i | ||||
\(765\) | 0.454779 | − | 0.215389i | 0.0164426 | − | 0.00778742i | ||||
\(766\) | 21.4872 | + | 6.98162i | 0.776364 | + | 0.252256i | ||||
\(767\) | 29.8679 | + | 9.70467i | 1.07847 | + | 0.350415i | ||||
\(768\) | 1.08911 | − | 1.34679i | 0.0392998 | − | 0.0485981i | ||||
\(769\) | 9.88349 | 0.356408 | 0.178204 | − | 0.983994i | \(-0.442971\pi\) | ||||
0.178204 | + | 0.983994i | \(0.442971\pi\) | |||||||
\(770\) | −12.0296 | − | 0.996253i | −0.433516 | − | 0.0359025i | ||||
\(771\) | 2.92605 | − | 3.61835i | 0.105379 | − | 0.130312i | ||||
\(772\) | 2.66004 | + | 3.66122i | 0.0957368 | + | 0.131770i | ||||
\(773\) | 26.6271 | − | 36.6490i | 0.957709 | − | 1.31817i | 0.00969176 | − | 0.999953i | \(-0.496915\pi\) |
0.948017 | − | 0.318220i | \(-0.103085\pi\) | |||||||
\(774\) | 8.63620 | − | 19.4677i | 0.310422 | − | 0.699751i | ||||
\(775\) | 25.0253 | − | 12.1957i | 0.898935 | − | 0.438082i | ||||
\(776\) | − | 18.6332i | − | 0.668892i | ||||||
\(777\) | 26.5397 | + | 1.37298i | 0.952107 | + | 0.0492554i | ||||
\(778\) | 19.0493 | − | 13.8401i | 0.682950 | − | 0.496193i | ||||
\(779\) | −5.79322 | + | 1.88233i | −0.207564 | + | 0.0674415i | ||||
\(780\) | 24.2634 | − | 13.0669i | 0.868771 | − | 0.467869i | ||||
\(781\) | 8.86730i | 0.317297i | ||||||||
\(782\) | 0.160353 | + | 0.493516i | 0.00573421 | + | 0.0176481i | ||||
\(783\) | −1.56435 | + | 10.0076i | −0.0559052 | + | 0.357643i | ||||
\(784\) | 0.744358 | − | 2.29090i | 0.0265842 | − | 0.0818178i | ||||
\(785\) | −1.88138 | − | 1.62020i | −0.0671492 | − | 0.0578273i | ||||
\(786\) | −17.0439 | − | 13.7829i | −0.607935 | − | 0.491619i | ||||
\(787\) | 0.592899 | + | 0.430766i | 0.0211346 | + | 0.0153552i | 0.598302 | − | 0.801270i | \(-0.295842\pi\) |
−0.577168 | + | 0.816626i | \(0.695842\pi\) | |||||||
\(788\) | 2.77992 | + | 3.82623i | 0.0990306 | + | 0.136304i | ||||
\(789\) | −5.82068 | − | 21.6647i | −0.207222 | − | 0.771285i | ||||
\(790\) | −23.0137 | + | 13.9737i | −0.818791 | + | 0.497162i | ||||
\(791\) | −14.0170 | − | 19.2928i | −0.498389 | − | 0.685973i | ||||
\(792\) | −5.62350 | − | 5.04973i | −0.199822 | − | 0.179434i | ||||
\(793\) | −3.20323 | − | 4.40887i | −0.113750 | − | 0.156563i | ||||
\(794\) | −3.00435 | + | 4.13514i | −0.106621 | + | 0.146751i | ||||
\(795\) | −17.6016 | + | 18.4218i | −0.624264 | + | 0.653353i | ||||
\(796\) | 5.04893 | − | 6.94925i | 0.178955 | − | 0.246310i | ||||
\(797\) | −32.0414 | − | 10.4109i | −1.13496 | − | 0.368772i | −0.319504 | − | 0.947585i | \(-0.603516\pi\) |
−0.815461 | + | 0.578813i | \(0.803516\pi\) | |||||||
\(798\) | −2.30655 | − | 8.58506i | −0.0816511 | − | 0.303908i | ||||
\(799\) | 0.926062 | − | 0.300896i | 0.0327617 | − | 0.0106449i | ||||
\(800\) | 4.93188 | + | 0.822528i | 0.174368 | + | 0.0290808i | ||||
\(801\) | 7.76715 | − | 17.5087i | 0.274439 | − | 0.618639i | ||||
\(802\) | 5.16311 | + | 15.8904i | 0.182316 | + | 0.561110i | ||||
\(803\) | 21.6910 | − | 15.7594i | 0.765457 | − | 0.556137i | ||||
\(804\) | 19.7130 | + | 1.01982i | 0.695225 | + | 0.0359661i | ||||
\(805\) | −2.73551 | + | 33.0308i | −0.0964140 | + | 1.16418i | ||||
\(806\) | −32.2733 | + | 22.9779i | −1.13678 | + | 0.809361i | ||||
\(807\) | −3.81655 | − | 5.86832i | −0.134349 | − | 0.206575i | ||||
\(808\) | 5.26647 | − | 7.24867i | 0.185274 | − | 0.255007i | ||||
\(809\) | −37.2593 | + | 27.0705i | −1.30997 | + | 0.951747i | −0.309968 | + | 0.950747i | \(0.600318\pi\) |
−0.999999 | + | 0.00100027i | \(0.999682\pi\) | |||||||
\(810\) | 16.5693 | + | 11.4219i | 0.582185 | + | 0.401323i | ||||
\(811\) | 46.4545 | 1.63124 | 0.815619 | − | 0.578589i | \(-0.196396\pi\) | ||||
0.815619 | + | 0.578589i | \(0.196396\pi\) | |||||||
\(812\) | − | 4.17690i | − | 0.146580i | ||||||
\(813\) | 14.4976 | + | 11.7238i | 0.508453 | + | 0.411171i | ||||
\(814\) | 5.57470 | − | 17.1571i | 0.195393 | − | 0.601358i | ||||
\(815\) | −6.41336 | + | 15.3059i | −0.224650 | + | 0.536143i | ||||
\(816\) | −0.129754 | − | 0.00671257i | −0.00454229 | − | 0.000234987i | ||||
\(817\) | −5.25460 | − | 16.1720i | −0.183835 | − | 0.565786i | ||||
\(818\) | 11.5317 | − | 15.8720i | 0.403197 | − | 0.554952i | ||||
\(819\) | −44.7271 | + | 9.56996i | −1.56289 | + | 0.334402i | ||||
\(820\) | −2.19759 | + | 5.24469i | −0.0767431 | + | 0.183153i | ||||
\(821\) | 9.05360 | − | 6.57783i | 0.315973 | − | 0.229568i | −0.418482 | − | 0.908225i | \(-0.637438\pi\) |
0.734455 | + | 0.678657i | \(0.237438\pi\) | |||||||
\(822\) | 11.5405 | − | 30.1246i | 0.402522 | − | 1.05072i | ||||
\(823\) | 0.0289787 | − | 0.0891874i | 0.00101014 | − | 0.00310888i | −0.950550 | − | 0.310571i | \(-0.899480\pi\) |
0.951560 | + | 0.307462i | \(0.0994797\pi\) | |||||||
\(824\) | −5.87666 | − | 8.08853i | −0.204723 | − | 0.281777i | ||||
\(825\) | 4.69626 | − | 21.3067i | 0.163503 | − | 0.741803i | ||||
\(826\) | −2.92239 | − | 8.99419i | −0.101683 | − | 0.312948i | ||||
\(827\) | −11.6660 | + | 16.0569i | −0.405666 | + | 0.558352i | −0.962155 | − | 0.272504i | \(-0.912148\pi\) |
0.556489 | + | 0.830855i | \(0.312148\pi\) | |||||||
\(828\) | −13.8655 | + | 15.4410i | −0.481861 | + | 0.536611i | ||||
\(829\) | 9.25555 | + | 3.00731i | 0.321459 | + | 0.104448i | 0.465301 | − | 0.885152i | \(-0.345946\pi\) |
−0.143843 | + | 0.989601i | \(0.545946\pi\) | |||||||
\(830\) | −2.65699 | − | 11.2699i | −0.0922254 | − | 0.391185i | ||||
\(831\) | 1.28448 | + | 1.97501i | 0.0445580 | + | 0.0685123i | ||||
\(832\) | −7.11551 | −0.246686 | ||||||||
\(833\) | −0.171849 | + | 0.0558370i | −0.00595420 | + | 0.00193464i | ||||
\(834\) | −9.50352 | + | 24.8074i | −0.329080 | + | 0.859010i | ||||
\(835\) | −15.3673 | − | 13.2340i | −0.531809 | − | 0.457981i | ||||
\(836\) | −6.03449 | −0.208707 | ||||||||
\(837\) | −25.6774 | − | 13.3294i | −0.887540 | − | 0.460731i | ||||
\(838\) | 4.33253i | 0.149665i | ||||||||
\(839\) | 27.1452 | − | 37.3622i | 0.937157 | − | 1.28989i | −0.0198450 | − | 0.999803i | \(-0.506317\pi\) |
0.957002 | − | 0.290082i | \(-0.0936827\pi\) | |||||||
\(840\) | −7.47802 | − | 3.59824i | −0.258016 | − | 0.124151i | ||||
\(841\) | −7.78724 | − | 23.9666i | −0.268525 | − | 0.826436i | ||||
\(842\) | −6.35745 | −0.219092 | ||||||||
\(843\) | −19.9145 | + | 12.9517i | −0.685893 | + | 0.446080i | ||||
\(844\) | −2.17867 | − | 6.70525i | −0.0749929 | − | 0.230804i | ||||
\(845\) | −77.6069 | − | 32.5182i | −2.66976 | − | 1.11866i | ||||
\(846\) | 28.9744 | + | 26.0181i | 0.996159 | + | 0.894521i | ||||
\(847\) | −5.86016 | + | 8.06582i | −0.201357 | + | 0.277145i | ||||
\(848\) | 6.25666 | − | 2.03291i | 0.214855 | − | 0.0698105i | ||||
\(849\) | 5.64385 | + | 0.291974i | 0.193697 | + | 0.0100205i | ||||
\(850\) | −0.167539 | − | 0.335569i | −0.00574654 | − | 0.0115099i | ||||
\(851\) | −47.1100 | − | 15.3070i | −1.61491 | − | 0.524717i | ||||
\(852\) | −2.18089 | + | 5.69285i | −0.0747159 | + | 0.195034i | ||||
\(853\) | −18.5424 | − | 25.5215i | −0.634881 | − | 0.873839i | 0.363449 | − | 0.931614i | \(-0.381599\pi\) |
−0.998330 | + | 0.0577754i | \(0.981599\pi\) | |||||||
\(854\) | −0.507118 | + | 1.56075i | −0.0173532 | + | 0.0534077i | ||||
\(855\) | 15.9362 | − | 2.05359i | 0.545006 | − | 0.0702312i | ||||
\(856\) | −12.7582 | − | 9.26941i | −0.436068 | − | 0.316822i | ||||
\(857\) | 10.8124 | + | 33.2771i | 0.369344 | + | 1.13672i | 0.947216 | + | 0.320597i | \(0.103883\pi\) |
−0.577872 | + | 0.816128i | \(0.696117\pi\) | |||||||
\(858\) | −1.60414 | + | 31.0079i | −0.0547643 | + | 1.05859i | ||||
\(859\) | 4.50594 | + | 1.46407i | 0.153741 | + | 0.0499534i | 0.384876 | − | 0.922968i | \(-0.374244\pi\) |
−0.231136 | + | 0.972922i | \(0.574244\pi\) | |||||||
\(860\) | −14.6408 | − | 6.13465i | −0.499246 | − | 0.209190i | ||||
\(861\) | 5.93464 | − | 7.33876i | 0.202252 | − | 0.250104i | ||||
\(862\) | 5.32893i | 0.181504i | ||||||||
\(863\) | 23.3684i | 0.795470i | 0.917500 | + | 0.397735i | \(0.130204\pi\) | ||||
−0.917500 | + | 0.397735i | \(0.869796\pi\) | |||||||
\(864\) | −2.36835 | − | 4.62503i | −0.0805727 | − | 0.157347i | ||||
\(865\) | −3.18334 | − | 5.24273i | −0.108237 | − | 0.178258i | ||||
\(866\) | 8.59511 | + | 6.24471i | 0.292074 | + | 0.212204i | ||||
\(867\) | −16.0481 | − | 24.6756i | −0.545023 | − | 0.838026i | ||||
\(868\) | 11.3103 | + | 3.79534i | 0.383896 | + | 0.128822i | ||||
\(869\) | − | 30.3346i | − | 1.02903i | ||||||
\(870\) | 7.48181 | + | 1.01101i | 0.253657 | + | 0.0342764i | ||||
\(871\) | −47.6648 | − | 65.6050i | −1.61506 | − | 2.22294i | ||||
\(872\) | 5.24027 | + | 16.1279i | 0.177458 | + | 0.546159i | ||||
\(873\) | −51.0973 | − | 22.6676i | −1.72938 | − | 0.767183i | ||||
\(874\) | 16.5695i | 0.560471i | ||||||||
\(875\) | −1.58652 | − | 23.9036i | −0.0536341 | − | 0.808090i | ||||
\(876\) | 17.8017 | − | 4.78278i | 0.601463 | − | 0.161595i | ||||
\(877\) | 8.98572 | + | 2.91964i | 0.303426 | + | 0.0985891i | 0.456773 | − | 0.889583i | \(-0.349005\pi\) |
−0.153347 | + | 0.988172i | \(0.549005\pi\) | |||||||
\(878\) | 30.1866 | + | 21.9318i | 1.01875 | + | 0.740164i | ||||
\(879\) | −17.8044 | + | 22.0169i | −0.600528 | + | 0.742611i | ||||
\(880\) | −3.67609 | + | 4.26868i | −0.123921 | + | 0.143897i | ||||
\(881\) | −37.8000 | + | 27.4633i | −1.27351 | + | 0.925262i | −0.999337 | − | 0.0364175i | \(-0.988405\pi\) |
−0.274177 | + | 0.961679i | \(0.588405\pi\) | |||||||
\(882\) | −5.37675 | − | 4.82816i | −0.181045 | − | 0.162573i | ||||
\(883\) | 14.4829 | − | 10.5224i | 0.487387 | − | 0.354107i | −0.316792 | − | 0.948495i | \(-0.602606\pi\) |
0.804178 | + | 0.594388i | \(0.202606\pi\) | |||||||
\(884\) | 0.313736 | + | 0.431821i | 0.0105521 | + | 0.0145237i | ||||
\(885\) | 16.8181 | − | 3.05766i | 0.565333 | − | 0.102782i | ||||
\(886\) | −9.21025 | + | 6.69164i | −0.309425 | + | 0.224810i | ||||
\(887\) | 7.83672 | + | 5.69371i | 0.263131 | + | 0.191176i | 0.711526 | − | 0.702659i | \(-0.248004\pi\) |
−0.448395 | + | 0.893835i | \(0.648004\pi\) | |||||||
\(888\) | 7.79873 | − | 9.64389i | 0.261708 | − | 0.323628i | ||||
\(889\) | −18.9719 | + | 26.1126i | −0.636298 | + | 0.875789i | ||||
\(890\) | −13.1675 | − | 5.51733i | −0.441375 | − | 0.184941i | ||||
\(891\) | −20.6889 | + | 9.27808i | −0.693103 | + | 0.310827i | ||||
\(892\) | 3.63862 | + | 11.1985i | 0.121830 | + | 0.374954i | ||||
\(893\) | 31.0919 | 1.04045 | ||||||||
\(894\) | −6.17125 | + | 4.01356i | −0.206397 | + | 0.134234i | ||||
\(895\) | 0.0683969 | − | 0.0161252i | 0.00228625 | − | 0.000539005i | ||||
\(896\) | 1.25945 | + | 1.73349i | 0.0420754 | + | 0.0579118i | ||||
\(897\) | 85.1415 | + | 4.40463i | 2.84279 | + | 0.147066i | ||||
\(898\) | 35.7766 | 1.19388 | ||||||||
\(899\) | −10.8530 | − | 0.104175i | −0.361969 | − | 0.00347442i | ||||
\(900\) | 8.25533 | − | 12.5240i | 0.275178 | − | 0.417465i | ||||
\(901\) | −0.399240 | − | 0.290065i | −0.0133006 | − | 0.00966346i | ||||
\(902\) | −3.76586 | − | 5.18327i | −0.125390 | − | 0.172584i | ||||
\(903\) | 20.4864 | + | 16.5668i | 0.681745 | + | 0.551307i | ||||
\(904\) | −11.1295 | −0.370161 | ||||||||
\(905\) | 52.4867 | + | 4.34679i | 1.74472 | + | 0.144492i | ||||
\(906\) | −21.0596 | − | 17.0302i | −0.699657 | − | 0.565792i | ||||
\(907\) | −43.0817 | − | 13.9981i | −1.43050 | − | 0.464799i | −0.511581 | − | 0.859235i | \(-0.670940\pi\) |
−0.918923 | + | 0.394436i | \(0.870940\pi\) | |||||||
\(908\) | −3.74752 | + | 11.5337i | −0.124366 | + | 0.382759i | ||||
\(909\) | −13.4711 | − | 23.2603i | −0.446808 | − | 0.771494i | ||||
\(910\) | 7.82305 | + | 33.1824i | 0.259332 | + | 1.09999i | ||||
\(911\) | 28.1623 | + | 20.4611i | 0.933057 | + | 0.677906i | 0.946739 | − | 0.322001i | \(-0.104355\pi\) |
−0.0136822 | + | 0.999906i | \(0.504355\pi\) | |||||||
\(912\) | −3.87417 | − | 1.48416i | −0.128287 | − | 0.0491456i | ||||
\(913\) | 12.4072 | + | 4.03136i | 0.410620 | + | 0.133419i | ||||
\(914\) | −11.2240 | + | 8.15471i | −0.371257 | + | 0.269734i | ||||
\(915\) | −2.67292 | − | 1.28614i | −0.0883641 | − | 0.0425186i | ||||
\(916\) | −0.441857 | − | 0.143568i | −0.0145994 | − | 0.00474362i | ||||
\(917\) | 21.9376 | − | 15.9386i | 0.724445 | − | 0.526340i | ||||
\(918\) | −0.176256 | + | 0.347655i | −0.00581731 | + | 0.0114743i | ||||
\(919\) | 13.6086 | + | 41.8829i | 0.448905 | + | 1.38159i | 0.878143 | + | 0.478397i | \(0.158782\pi\) |
−0.429238 | + | 0.903191i | \(0.641218\pi\) | |||||||
\(920\) | 11.7209 | + | 10.0938i | 0.386428 | + | 0.332783i | ||||
\(921\) | −0.311962 | − | 1.16113i | −0.0102795 | − | 0.0382606i | ||||
\(922\) | −9.96410 | + | 30.6663i | −0.328150 | + | 1.00994i | ||||
\(923\) | 23.8187 | − | 7.73916i | 0.784001 | − | 0.254737i | ||||
\(924\) | 7.83812 | − | 5.09764i | 0.257855 | − | 0.167700i | ||||
\(925\) | 35.3155 | + | 5.88983i | 1.16117 | + | 0.193657i | ||||
\(926\) | 0.933323 | + | 2.87247i | 0.0306709 | + | 0.0943953i | ||||
\(927\) | −29.3301 | + | 6.27557i | −0.963326 | + | 0.206117i | ||||
\(928\) | −1.57706 | − | 1.14580i | −0.0517695 | − | 0.0376128i | ||||
\(929\) | −45.6156 | −1.49660 | −0.748299 | − | 0.663362i | \(-0.769129\pi\) | ||||
−0.748299 | + | 0.663362i | \(0.769129\pi\) | |||||||
\(930\) | −9.53598 | + | 19.3408i | −0.312697 | + | 0.634209i | ||||
\(931\) | −5.76971 | −0.189095 | ||||||||
\(932\) | 6.24139 | + | 4.53464i | 0.204444 | + | 0.148537i | ||||
\(933\) | 5.83855 | − | 15.2406i | 0.191146 | − | 0.498955i | ||||
\(934\) | −5.69745 | − | 17.5350i | −0.186426 | − | 0.573761i | ||||
\(935\) | 0.421141 | + | 0.0348776i | 0.0137728 | + | 0.00114062i | ||||
\(936\) | −8.65617 | + | 19.5127i | −0.282936 | + | 0.637792i | ||||
\(937\) | −37.9317 | + | 12.3248i | −1.23917 | + | 0.402632i | −0.854030 | − | 0.520224i | \(-0.825848\pi\) |
−0.385145 | + | 0.922856i | \(0.625848\pi\) | |||||||
\(938\) | −7.54603 | + | 23.2243i | −0.246387 | + | 0.758300i | ||||
\(939\) | −21.3050 | + | 5.72403i | −0.695263 | + | 0.186797i | ||||
\(940\) | 18.9406 | − | 21.9939i | 0.617774 | − | 0.717360i | ||||
\(941\) | −5.64702 | − | 17.3797i | −0.184088 | − | 0.566563i | 0.815844 | − | 0.578272i | \(-0.196273\pi\) |
−0.999931 | + | 0.0117089i | \(0.996273\pi\) | |||||||
\(942\) | 1.92065 | + | 0.0993611i | 0.0625781 | + | 0.00323736i | ||||
\(943\) | −14.2322 | + | 10.3403i | −0.463464 | + | 0.336726i | ||||
\(944\) | −4.19758 | − | 1.36387i | −0.136619 | − | 0.0443903i | ||||
\(945\) | −18.9645 | + | 16.1295i | −0.616916 | + | 0.524691i | ||||
\(946\) | 14.4693 | − | 10.5125i | 0.470437 | − | 0.341792i | ||||
\(947\) | 28.0939 | + | 9.12825i | 0.912928 | + | 0.296628i | 0.727562 | − | 0.686041i | \(-0.240653\pi\) |
0.185365 | + | 0.982670i | \(0.440653\pi\) | |||||||
\(948\) | 7.46071 | − | 19.4750i | 0.242313 | − | 0.632518i | ||||
\(949\) | −61.2630 | − | 44.5102i | −1.98868 | − | 1.44486i | ||||
\(950\) | −1.77672 | − | 11.8438i | −0.0576446 | − | 0.384264i | ||||
\(951\) | −0.215934 | + | 4.17400i | −0.00700213 | + | 0.135351i | ||||
\(952\) | 0.0496690 | − | 0.152866i | 0.00160978 | − | 0.00495440i | ||||
\(953\) | 5.93597 | + | 1.92871i | 0.192285 | + | 0.0624771i | 0.403576 | − | 0.914946i | \(-0.367767\pi\) |
−0.211292 | + | 0.977423i | \(0.567767\pi\) | |||||||
\(954\) | 2.03655 | − | 19.6306i | 0.0659358 | − | 0.635563i | ||||
\(955\) | −33.7797 | − | 2.79753i | −1.09309 | − | 0.0905260i | ||||
\(956\) | −18.5587 | −0.600230 | ||||||||
\(957\) | −5.34870 | + | 6.61419i | −0.172899 | + | 0.213806i | ||||
\(958\) | −17.7189 | − | 24.3880i | −0.572472 | − | 0.787940i | ||||
\(959\) | 32.2863 | + | 23.4574i | 1.04258 | + | 0.757478i | ||||
\(960\) | −3.40994 | + | 1.83639i | −0.110055 | + | 0.0592693i | ||||
\(961\) | 10.1437 | − | 29.2934i | 0.327216 | − | 0.944950i | ||||
\(962\) | −50.9517 | −1.64275 | ||||||||
\(963\) | −40.9400 | + | 23.7102i | −1.31927 | + | 0.764051i | ||||
\(964\) | −2.19962 | − | 3.02751i | −0.0708449 | − | 0.0975096i | ||||
\(965\) | −2.32207 | − | 9.84935i | −0.0747501 | − | 0.317062i | ||||
\(966\) | −13.9971 | − | 21.5219i | −0.450348 | − | 0.692455i | ||||
\(967\) | 10.4419 | 0.335790 | 0.167895 | − | 0.985805i | \(-0.446303\pi\) | ||||
0.167895 | + | 0.985805i | \(0.446303\pi\) | |||||||
\(968\) | 1.43784 | + | 4.42521i | 0.0462138 | + | 0.142232i | ||||
\(969\) | 0.0807496 | + | 0.300552i | 0.00259405 | + | 0.00965513i | ||||
\(970\) | −16.1018 | + | 38.4280i | −0.516996 | + | 1.23385i | ||||
\(971\) | −6.41379 | + | 8.82782i | −0.205828 | + | 0.283298i | −0.899434 | − | 0.437056i | \(-0.856021\pi\) |
0.693606 | + | 0.720355i | \(0.256021\pi\) | |||||||
\(972\) | −15.5643 | + | 0.868206i | −0.499224 | + | 0.0278477i | ||||
\(973\) | −26.5875 | − | 19.3170i | −0.852357 | − | 0.619273i | ||||
\(974\) | −16.2113 | + | 11.7782i | −0.519443 | + | 0.377398i | ||||
\(975\) | −61.3312 | + | 5.98120i | −1.96417 | + | 0.191552i | ||||
\(976\) | 0.450175 | + | 0.619613i | 0.0144098 | + | 0.0198333i | ||||
\(977\) | −1.46663 | + | 1.06557i | −0.0469218 | + | 0.0340907i | −0.610999 | − | 0.791631i | \(-0.709232\pi\) |
0.564077 | + | 0.825722i | \(0.309232\pi\) | |||||||
\(978\) | −3.33537 | − | 12.4144i | −0.106654 | − | 0.396968i | ||||
\(979\) | 13.0133 | − | 9.45469i | 0.415906 | − | 0.302173i | ||||
\(980\) | −3.51479 | + | 4.08138i | −0.112276 | + | 0.130375i | ||||
\(981\) | 50.6020 | + | 5.24964i | 1.61560 | + | 0.167608i | ||||
\(982\) | 17.1944 | + | 12.4925i | 0.548695 | + | 0.398650i | ||||
\(983\) | 23.6036 | + | 7.66928i | 0.752838 | + | 0.244612i | 0.660202 | − | 0.751088i | \(-0.270471\pi\) |
0.0926361 | + | 0.995700i | \(0.470471\pi\) | |||||||
\(984\) | −1.14289 | − | 4.25388i | −0.0364341 | − | 0.135609i | ||||
\(985\) | −2.42673 | − | 10.2933i | −0.0773219 | − | 0.327970i | ||||
\(986\) | 0.146228i | 0.00465685i | ||||||||
\(987\) | −40.3849 | + | 26.2649i | −1.28547 | + | 0.836022i | ||||
\(988\) | 5.26675 | + | 16.2094i | 0.167558 | + | 0.515689i | ||||
\(989\) | −28.8653 | − | 39.7297i | −0.917864 | − | 1.26333i | ||||
\(990\) | 7.23387 | + | 15.2738i | 0.229908 | + | 0.485433i | ||||
\(991\) | − | 12.7841i | − | 0.406099i | −0.979168 | − | 0.203049i | \(-0.934915\pi\) | ||
0.979168 | − | 0.203049i | \(-0.0650852\pi\) | |||||||
\(992\) | 4.53562 | − | 3.22926i | 0.144006 | − | 0.102529i | ||||
\(993\) | −0.306339 | + | 0.199232i | −0.00972139 | + | 0.00632245i | ||||
\(994\) | −6.10135 | − | 4.43289i | −0.193523 | − | 0.140603i | ||||
\(995\) | −16.4178 | + | 9.96873i | −0.520479 | + | 0.316030i | ||||
\(996\) | 6.97401 | + | 5.63968i | 0.220980 | + | 0.178700i | ||||
\(997\) | − | 50.8730i | − | 1.61116i | −0.592484 | − | 0.805582i | \(-0.701853\pi\) | ||
0.592484 | − | 0.805582i | \(-0.298147\pi\) | |||||||
\(998\) | 24.7207i | 0.782521i | ||||||||
\(999\) | −16.9589 | − | 33.1183i | −0.536556 | − | 1.04782i |
(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 | 930.2.y.b.29.29 | yes | 128 | |
3.2 | odd | 2 | 930.2.y.a.29.15 | yes | 128 | ||
5.4 | even | 2 | 930.2.y.a.29.4 | ✓ | 128 | ||
15.14 | odd | 2 | inner | 930.2.y.b.29.18 | yes | 128 | |
31.15 | odd | 10 | inner | 930.2.y.b.449.18 | yes | 128 | |
93.77 | even | 10 | 930.2.y.a.449.4 | yes | 128 | ||
155.139 | odd | 10 | 930.2.y.a.449.15 | yes | 128 | ||
465.449 | even | 10 | inner | 930.2.y.b.449.29 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.y.a.29.4 | ✓ | 128 | 5.4 | even | 2 | ||
930.2.y.a.29.15 | yes | 128 | 3.2 | odd | 2 | ||
930.2.y.a.449.4 | yes | 128 | 93.77 | even | 10 | ||
930.2.y.a.449.15 | yes | 128 | 155.139 | odd | 10 | ||
930.2.y.b.29.18 | yes | 128 | 15.14 | odd | 2 | inner | |
930.2.y.b.29.29 | yes | 128 | 1.1 | even | 1 | trivial | |
930.2.y.b.449.18 | yes | 128 | 31.15 | odd | 10 | inner | |
930.2.y.b.449.29 | yes | 128 | 465.449 | even | 10 | inner |