Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(277,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.277");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bj (of order \(20\), degree \(8\), 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: | \(16\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 277.12 | ||
Character | \(\chi\) | \(=\) | 930.277 |
Dual form | 930.2.bj.a.883.12 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.156434 | + | 0.987688i | 0.110616 | + | 0.698401i | ||||
\(3\) | −0.987688 | − | 0.156434i | −0.570242 | − | 0.0903175i | ||||
\(4\) | −0.951057 | + | 0.309017i | −0.475528 | + | 0.154508i | ||||
\(5\) | −0.683297 | − | 2.12911i | −0.305580 | − | 0.952166i | ||||
\(6\) | − | 1.00000i | − | 0.408248i | ||||||
\(7\) | −2.06274 | + | 4.04835i | −0.779641 | + | 1.53013i | 0.0668702 | + | 0.997762i | \(0.478699\pi\) |
−0.846511 | + | 0.532370i | \(0.821301\pi\) | |||||||
\(8\) | −0.453990 | − | 0.891007i | −0.160510 | − | 0.315018i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 1.99600 | − | 1.00795i | 0.631192 | − | 0.318742i | ||||
\(11\) | −0.585473 | + | 0.190232i | −0.176527 | + | 0.0573570i | −0.395947 | − | 0.918273i | \(-0.629584\pi\) |
0.219420 | + | 0.975631i | \(0.429584\pi\) | |||||||
\(12\) | 0.987688 | − | 0.156434i | 0.285121 | − | 0.0451587i | ||||
\(13\) | 2.33156 | + | 0.369283i | 0.646659 | + | 0.102421i | 0.471144 | − | 0.882056i | \(-0.343841\pi\) |
0.175514 | + | 0.984477i | \(0.443841\pi\) | |||||||
\(14\) | −4.32119 | − | 1.40404i | −1.15489 | − | 0.375245i | ||||
\(15\) | 0.341819 | + | 2.20979i | 0.0882572 | + | 0.570565i | ||||
\(16\) | 0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | ||||
\(17\) | −2.37271 | − | 4.65671i | −0.575467 | − | 1.12942i | −0.976934 | − | 0.213544i | \(-0.931499\pi\) |
0.401467 | − | 0.915874i | \(-0.368501\pi\) | |||||||
\(18\) | −0.156434 | + | 0.987688i | −0.0368720 | + | 0.232800i | ||||
\(19\) | −1.85847 | + | 2.55796i | −0.426362 | + | 0.586837i | −0.967113 | − | 0.254345i | \(-0.918140\pi\) |
0.540751 | + | 0.841182i | \(0.318140\pi\) | |||||||
\(20\) | 1.30779 | + | 1.81375i | 0.292430 | + | 0.405567i | ||||
\(21\) | 2.67064 | − | 3.67582i | 0.582782 | − | 0.802131i | ||||
\(22\) | −0.279478 | − | 0.548506i | −0.0595849 | − | 0.116942i | ||||
\(23\) | 8.19436 | − | 4.17524i | 1.70864 | − | 0.870597i | 0.725392 | − | 0.688336i | \(-0.241658\pi\) |
0.983250 | − | 0.182261i | \(-0.0583417\pi\) | |||||||
\(24\) | 0.309017 | + | 0.951057i | 0.0630778 | + | 0.194134i | ||||
\(25\) | −4.06621 | + | 2.90963i | −0.813242 | + | 0.581926i | ||||
\(26\) | 2.36062i | 0.462956i | ||||||||
\(27\) | −0.891007 | − | 0.453990i | −0.171474 | − | 0.0873705i | ||||
\(28\) | 0.710771 | − | 4.48763i | 0.134323 | − | 0.848082i | ||||
\(29\) | −6.63389 | − | 4.81980i | −1.23188 | − | 0.895015i | −0.234853 | − | 0.972031i | \(-0.575461\pi\) |
−0.997030 | + | 0.0770159i | \(0.975461\pi\) | |||||||
\(30\) | −2.12911 | + | 0.683297i | −0.388720 | + | 0.124752i | ||||
\(31\) | −0.283400 | − | 5.56055i | −0.0509002 | − | 0.998704i | ||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | 0.608024 | − | 0.0963015i | 0.105843 | − | 0.0167639i | ||||
\(34\) | 4.22820 | − | 3.07197i | 0.725131 | − | 0.526838i | ||||
\(35\) | 10.0288 | + | 1.62557i | 1.69518 | + | 0.274771i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | 4.51671 | − | 4.51671i | 0.742542 | − | 0.742542i | −0.230525 | − | 0.973067i | \(-0.574044\pi\) |
0.973067 | + | 0.230525i | \(0.0740442\pi\) | |||||||
\(38\) | −2.81720 | − | 1.43543i | −0.457010 | − | 0.232858i | ||||
\(39\) | −2.24509 | − | 0.729473i | −0.359502 | − | 0.116809i | ||||
\(40\) | −1.58684 | + | 1.57542i | −0.250901 | + | 0.249095i | ||||
\(41\) | −5.27021 | − | 3.82903i | −0.823068 | − | 0.597994i | 0.0945218 | − | 0.995523i | \(-0.469868\pi\) |
−0.917590 | + | 0.397529i | \(0.869868\pi\) | |||||||
\(42\) | 4.04835 | + | 2.06274i | 0.624674 | + | 0.318287i | ||||
\(43\) | −1.09267 | − | 6.89884i | −0.166630 | − | 1.05206i | −0.919269 | − | 0.393630i | \(-0.871219\pi\) |
0.752639 | − | 0.658434i | \(-0.228781\pi\) | |||||||
\(44\) | 0.498033 | − | 0.361842i | 0.0750813 | − | 0.0545498i | ||||
\(45\) | 0.00807665 | − | 2.23605i | 0.00120400 | − | 0.333331i | ||||
\(46\) | 5.40571 | + | 7.44032i | 0.797029 | + | 1.09702i | ||||
\(47\) | 12.0101 | + | 1.90221i | 1.75185 | + | 0.277467i | 0.948210 | − | 0.317643i | \(-0.102891\pi\) |
0.803644 | + | 0.595110i | \(0.202891\pi\) | |||||||
\(48\) | −0.891007 | + | 0.453990i | −0.128606 | + | 0.0655279i | ||||
\(49\) | −8.01975 | − | 11.0382i | −1.14568 | − | 1.57689i | ||||
\(50\) | −3.50990 | − | 3.56098i | −0.496375 | − | 0.503599i | ||||
\(51\) | 1.61503 | + | 4.97055i | 0.226149 | + | 0.696016i | ||||
\(52\) | −2.33156 | + | 0.369283i | −0.323329 | + | 0.0512103i | ||||
\(53\) | −2.12380 | + | 1.08213i | −0.291727 | + | 0.148642i | −0.593729 | − | 0.804665i | \(-0.702345\pi\) |
0.302002 | + | 0.953307i | \(0.402345\pi\) | |||||||
\(54\) | 0.309017 | − | 0.951057i | 0.0420519 | − | 0.129422i | ||||
\(55\) | 0.805076 | + | 1.11655i | 0.108556 | + | 0.150556i | ||||
\(56\) | 4.54357 | 0.607160 | ||||||||
\(57\) | 2.23574 | − | 2.23574i | 0.296131 | − | 0.296131i | ||||
\(58\) | 3.72269 | − | 7.30620i | 0.488814 | − | 0.959351i | ||||
\(59\) | −3.96706 | − | 5.46019i | −0.516468 | − | 0.710857i | 0.468526 | − | 0.883450i | \(-0.344785\pi\) |
−0.984993 | + | 0.172593i | \(0.944785\pi\) | |||||||
\(60\) | −1.00795 | − | 1.99600i | −0.130126 | − | 0.257683i | ||||
\(61\) | − | 8.64858i | − | 1.10734i | −0.832737 | − | 0.553669i | \(-0.813227\pi\) | ||
0.832737 | − | 0.553669i | \(-0.186773\pi\) | |||||||
\(62\) | 5.44775 | − | 1.14977i | 0.691865 | − | 0.146021i | ||||
\(63\) | −3.21279 | + | 3.21279i | −0.404773 | + | 0.404773i | ||||
\(64\) | −0.587785 | + | 0.809017i | −0.0734732 | + | 0.101127i | ||||
\(65\) | −0.806905 | − | 5.21648i | −0.100084 | − | 0.647024i | ||||
\(66\) | 0.190232 | + | 0.585473i | 0.0234159 | + | 0.0720668i | ||||
\(67\) | 0.578088 | + | 0.578088i | 0.0706247 | + | 0.0706247i | 0.741537 | − | 0.670912i | \(-0.234097\pi\) |
−0.670912 | + | 0.741537i | \(0.734097\pi\) | |||||||
\(68\) | 3.69558 | + | 3.69558i | 0.448155 | + | 0.448155i | ||||
\(69\) | −8.74663 | + | 2.84195i | −1.05297 | + | 0.342131i | ||||
\(70\) | −0.0366968 | + | 10.1597i | −0.00438611 | + | 1.21431i | ||||
\(71\) | −1.53061 | + | 4.71074i | −0.181650 | + | 0.559062i | −0.999875 | − | 0.0158373i | \(-0.994959\pi\) |
0.818224 | + | 0.574899i | \(0.194959\pi\) | |||||||
\(72\) | −0.156434 | − | 0.987688i | −0.0184360 | − | 0.116400i | ||||
\(73\) | 2.37274 | − | 4.65677i | 0.277708 | − | 0.545033i | −0.709454 | − | 0.704751i | \(-0.751059\pi\) |
0.987163 | + | 0.159718i | \(0.0510585\pi\) | |||||||
\(74\) | 5.16767 | + | 3.75453i | 0.600729 | + | 0.436455i | ||||
\(75\) | 4.47131 | − | 2.23771i | 0.516303 | − | 0.258389i | ||||
\(76\) | 0.977055 | − | 3.00707i | 0.112076 | − | 0.344934i | ||||
\(77\) | 0.437552 | − | 2.76260i | 0.0498637 | − | 0.314827i | ||||
\(78\) | 0.369283 | − | 2.33156i | 0.0418131 | − | 0.263997i | ||||
\(79\) | 0.427361 | − | 1.31528i | 0.0480819 | − | 0.147981i | −0.924133 | − | 0.382071i | \(-0.875211\pi\) |
0.972215 | + | 0.234090i | \(0.0752110\pi\) | |||||||
\(80\) | −1.80426 | − | 1.32085i | −0.201722 | − | 0.147676i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 2.95744 | − | 5.80431i | 0.326595 | − | 0.640979i | ||||
\(83\) | −0.0662227 | − | 0.418114i | −0.00726889 | − | 0.0458940i | 0.983787 | − | 0.179339i | \(-0.0573960\pi\) |
−0.991056 | + | 0.133445i | \(0.957396\pi\) | |||||||
\(84\) | −1.40404 | + | 4.32119i | −0.153193 | + | 0.471481i | ||||
\(85\) | −8.29337 | + | 8.23367i | −0.899542 | + | 0.893067i | ||||
\(86\) | 6.64297 | − | 2.15843i | 0.716330 | − | 0.232750i | ||||
\(87\) | 5.79823 | + | 5.79823i | 0.621636 | + | 0.621636i | ||||
\(88\) | 0.435297 | + | 0.435297i | 0.0464028 | + | 0.0464028i | ||||
\(89\) | 3.02528 | + | 9.31085i | 0.320679 | + | 0.986948i | 0.973353 | + | 0.229310i | \(0.0736469\pi\) |
−0.652675 | + | 0.757638i | \(0.726353\pi\) | |||||||
\(90\) | 2.20979 | − | 0.341819i | 0.232932 | − | 0.0360308i | ||||
\(91\) | −6.30438 | + | 8.67724i | −0.660879 | + | 0.909622i | ||||
\(92\) | −6.50308 | + | 6.50308i | −0.677993 | + | 0.677993i | ||||
\(93\) | −0.589950 | + | 5.53642i | −0.0611750 | + | 0.574100i | ||||
\(94\) | 12.1598i | 1.25419i | ||||||||
\(95\) | 6.71607 | + | 2.20903i | 0.689054 | + | 0.226642i | ||||
\(96\) | −0.587785 | − | 0.809017i | −0.0599906 | − | 0.0825700i | ||||
\(97\) | −5.06795 | + | 9.94642i | −0.514573 | + | 1.00991i | 0.476822 | + | 0.879000i | \(0.341789\pi\) |
−0.991395 | + | 0.130906i | \(0.958211\pi\) | |||||||
\(98\) | 9.64778 | − | 9.64778i | 0.974572 | − | 0.974572i | ||||
\(99\) | −0.615603 | −0.0618704 | ||||||||
\(100\) | 2.96807 | − | 4.02375i | 0.296807 | − | 0.402375i | ||||
\(101\) | 2.37392 | − | 7.30619i | 0.236214 | − | 0.726993i | −0.760744 | − | 0.649052i | \(-0.775166\pi\) |
0.996958 | − | 0.0779406i | \(-0.0248344\pi\) | |||||||
\(102\) | −4.65671 | + | 2.37271i | −0.461083 | + | 0.234933i | ||||
\(103\) | −14.8230 | + | 2.34773i | −1.46055 | + | 0.231329i | −0.835601 | − | 0.549336i | \(-0.814881\pi\) |
−0.624950 | + | 0.780665i | \(0.714881\pi\) | |||||||
\(104\) | −0.729473 | − | 2.24509i | −0.0715307 | − | 0.220149i | ||||
\(105\) | −9.65107 | − | 3.17441i | −0.941848 | − | 0.309791i | ||||
\(106\) | −1.40104 | − | 1.92837i | −0.136082 | − | 0.187300i | ||||
\(107\) | 5.39418 | − | 2.74847i | 0.521475 | − | 0.265705i | −0.173380 | − | 0.984855i | \(-0.555469\pi\) |
0.694855 | + | 0.719150i | \(0.255469\pi\) | |||||||
\(108\) | 0.987688 | + | 0.156434i | 0.0950404 | + | 0.0150529i | ||||
\(109\) | 5.97626 | + | 8.22562i | 0.572422 | + | 0.787871i | 0.992839 | − | 0.119460i | \(-0.0381162\pi\) |
−0.420417 | + | 0.907331i | \(0.638116\pi\) | |||||||
\(110\) | −0.976863 | + | 0.969831i | −0.0931402 | + | 0.0924698i | ||||
\(111\) | −5.16767 | + | 3.75453i | −0.490493 | + | 0.356364i | ||||
\(112\) | 0.710771 | + | 4.48763i | 0.0671615 | + | 0.424041i | ||||
\(113\) | 12.1109 | + | 6.17080i | 1.13929 | + | 0.580500i | 0.918735 | − | 0.394874i | \(-0.129212\pi\) |
0.220559 | + | 0.975374i | \(0.429212\pi\) | |||||||
\(114\) | 2.55796 | + | 1.85847i | 0.239575 | + | 0.174062i | ||||
\(115\) | −14.4887 | − | 14.5938i | −1.35108 | − | 1.36088i | ||||
\(116\) | 7.79861 | + | 2.53392i | 0.724082 | + | 0.235269i | ||||
\(117\) | 2.10333 | + | 1.07170i | 0.194453 | + | 0.0990788i | ||||
\(118\) | 4.77238 | − | 4.77238i | 0.439334 | − | 0.439334i | ||||
\(119\) | 23.7463 | 2.17682 | ||||||||
\(120\) | 1.81375 | − | 1.30779i | 0.165572 | − | 0.119384i | ||||
\(121\) | −8.59260 | + | 6.24289i | −0.781145 | + | 0.567535i | ||||
\(122\) | 8.54210 | − | 1.35294i | 0.773365 | − | 0.122489i | ||||
\(123\) | 4.60633 | + | 4.60633i | 0.415339 | + | 0.415339i | ||||
\(124\) | 1.98783 | + | 5.20082i | 0.178513 | + | 0.467047i | ||||
\(125\) | 8.97335 | + | 6.66926i | 0.802600 | + | 0.596517i | ||||
\(126\) | −3.67582 | − | 2.67064i | −0.327468 | − | 0.237920i | ||||
\(127\) | −0.394775 | + | 2.49251i | −0.0350306 | + | 0.221175i | −0.998993 | − | 0.0448635i | \(-0.985715\pi\) |
0.963963 | + | 0.266038i | \(0.0857147\pi\) | |||||||
\(128\) | −0.891007 | − | 0.453990i | −0.0787546 | − | 0.0401275i | ||||
\(129\) | 6.98484i | 0.614981i | ||||||||
\(130\) | 5.02603 | − | 1.61301i | 0.440812 | − | 0.141470i | ||||
\(131\) | −5.05545 | − | 15.5591i | −0.441697 | − | 1.35940i | −0.886066 | − | 0.463559i | \(-0.846572\pi\) |
0.444369 | − | 0.895844i | \(-0.353428\pi\) | |||||||
\(132\) | −0.548506 | + | 0.279478i | −0.0477413 | + | 0.0243254i | ||||
\(133\) | −6.52199 | − | 12.8001i | −0.565529 | − | 1.10991i | ||||
\(134\) | −0.480538 | + | 0.661404i | −0.0415122 | + | 0.0571366i | ||||
\(135\) | −0.357773 | + | 2.20726i | −0.0307922 | + | 0.189971i | ||||
\(136\) | −3.07197 | + | 4.22820i | −0.263419 | + | 0.362565i | ||||
\(137\) | 2.56071 | − | 16.1677i | 0.218776 | − | 1.38130i | −0.596681 | − | 0.802479i | \(-0.703514\pi\) |
0.815457 | − | 0.578818i | \(-0.196486\pi\) | |||||||
\(138\) | −4.17524 | − | 8.19436i | −0.355420 | − | 0.697550i | ||||
\(139\) | 11.8391 | − | 8.60162i | 1.00418 | − | 0.729580i | 0.0412005 | − | 0.999151i | \(-0.486882\pi\) |
0.962981 | + | 0.269571i | \(0.0868818\pi\) | |||||||
\(140\) | −10.0403 | + | 1.55308i | −0.848562 | + | 0.131259i | ||||
\(141\) | −11.5647 | − | 3.75759i | −0.973921 | − | 0.316446i | ||||
\(142\) | −4.89218 | − | 0.774845i | −0.410543 | − | 0.0650236i | ||||
\(143\) | −1.43532 | + | 0.227332i | −0.120027 | + | 0.0190104i | ||||
\(144\) | 0.951057 | − | 0.309017i | 0.0792547 | − | 0.0257514i | ||||
\(145\) | −5.72897 | + | 17.4176i | −0.475765 | + | 1.44646i | ||||
\(146\) | 4.97061 | + | 1.61505i | 0.411371 | + | 0.133662i | ||||
\(147\) | 6.19425 | + | 12.1569i | 0.510893 | + | 1.00268i | ||||
\(148\) | −2.89990 | + | 5.69138i | −0.238371 | + | 0.467829i | ||||
\(149\) | − | 2.82757i | − | 0.231644i | −0.993270 | − | 0.115822i | \(-0.963050\pi\) | ||
0.993270 | − | 0.115822i | \(-0.0369502\pi\) | |||||||
\(150\) | 2.90963 | + | 4.06621i | 0.237570 | + | 0.332005i | ||||
\(151\) | −10.7012 | + | 3.47702i | −0.870848 | + | 0.282956i | −0.710152 | − | 0.704048i | \(-0.751374\pi\) |
−0.160696 | + | 0.987004i | \(0.551374\pi\) | |||||||
\(152\) | 3.12289 | + | 0.494617i | 0.253300 | + | 0.0401187i | ||||
\(153\) | −0.817580 | − | 5.16200i | −0.0660975 | − | 0.417323i | ||||
\(154\) | 2.79703 | 0.225391 | ||||||||
\(155\) | −11.6454 | + | 4.40290i | −0.935378 | + | 0.353649i | ||||
\(156\) | 2.36062 | 0.189001 | ||||||||
\(157\) | 1.34431 | + | 8.48763i | 0.107288 | + | 0.677387i | 0.981445 | + | 0.191744i | \(0.0614144\pi\) |
−0.874157 | + | 0.485643i | \(0.838586\pi\) | |||||||
\(158\) | 1.36594 | + | 0.216344i | 0.108669 | + | 0.0172114i | ||||
\(159\) | 2.26694 | − | 0.736573i | 0.179780 | − | 0.0584140i | ||||
\(160\) | 1.02234 | − | 1.98867i | 0.0808233 | − | 0.157218i | ||||
\(161\) | 41.7861i | 3.29320i | ||||||||
\(162\) | −0.453990 | + | 0.891007i | −0.0356689 | + | 0.0700041i | ||||
\(163\) | 3.87187 | + | 7.59896i | 0.303268 | + | 0.595197i | 0.991472 | − | 0.130320i | \(-0.0416006\pi\) |
−0.688204 | + | 0.725517i | \(0.741601\pi\) | |||||||
\(164\) | 6.19550 | + | 2.01304i | 0.483787 | + | 0.157192i | ||||
\(165\) | −0.620497 | − | 1.22875i | −0.0483056 | − | 0.0956578i | ||||
\(166\) | 0.402607 | − | 0.130815i | 0.0312483 | − | 0.0101532i | ||||
\(167\) | −22.9785 | + | 3.63944i | −1.77813 | + | 0.281628i | −0.957206 | − | 0.289408i | \(-0.906542\pi\) |
−0.820925 | + | 0.571036i | \(0.806542\pi\) | |||||||
\(168\) | −4.48763 | − | 0.710771i | −0.346228 | − | 0.0548372i | ||||
\(169\) | −7.06393 | − | 2.29521i | −0.543379 | − | 0.176555i | ||||
\(170\) | −9.42967 | − | 6.90323i | −0.723223 | − | 0.529454i | ||||
\(171\) | −2.55796 | + | 1.85847i | −0.195612 | + | 0.142121i | ||||
\(172\) | 3.17105 | + | 6.22353i | 0.241790 | + | 0.474540i | ||||
\(173\) | 1.16847 | − | 7.37741i | 0.0888369 | − | 0.560894i | −0.902618 | − | 0.430443i | \(-0.858357\pi\) |
0.991455 | − | 0.130451i | \(-0.0416426\pi\) | |||||||
\(174\) | −4.81980 | + | 6.63389i | −0.365388 | + | 0.502914i | ||||
\(175\) | −3.39167 | − | 22.4632i | −0.256386 | − | 1.69806i | ||||
\(176\) | −0.361842 | + | 0.498033i | −0.0272749 | + | 0.0375407i | ||||
\(177\) | 3.06406 | + | 6.01355i | 0.230309 | + | 0.452006i | ||||
\(178\) | −8.72296 | + | 4.44457i | −0.653814 | + | 0.333135i | ||||
\(179\) | 2.99399 | + | 9.21455i | 0.223781 | + | 0.688727i | 0.998413 | + | 0.0563151i | \(0.0179351\pi\) |
−0.774632 | + | 0.632412i | \(0.782065\pi\) | |||||||
\(180\) | 0.683297 | + | 2.12911i | 0.0509300 | + | 0.158694i | ||||
\(181\) | − | 11.0853i | − | 0.823964i | −0.911192 | − | 0.411982i | \(-0.864837\pi\) | ||
0.911192 | − | 0.411982i | \(-0.135163\pi\) | |||||||
\(182\) | −9.55663 | − | 4.86935i | −0.708385 | − | 0.360940i | ||||
\(183\) | −1.35294 | + | 8.54210i | −0.100012 | + | 0.631450i | ||||
\(184\) | −7.44032 | − | 5.40571i | −0.548508 | − | 0.398514i | ||||
\(185\) | −12.7028 | − | 6.53031i | −0.933929 | − | 0.480118i | ||||
\(186\) | −5.56055 | + | 0.283400i | −0.407719 | + | 0.0207799i | ||||
\(187\) | 2.27501 | + | 2.27501i | 0.166365 | + | 0.166365i | ||||
\(188\) | −12.0101 | + | 1.90221i | −0.875927 | + | 0.138733i | ||||
\(189\) | 3.67582 | − | 2.67064i | 0.267377 | − | 0.194261i | ||||
\(190\) | −1.13121 | + | 6.97895i | −0.0820668 | + | 0.506306i | ||||
\(191\) | −23.1369 | −1.67413 | −0.837065 | − | 0.547103i | \(-0.815731\pi\) | ||||
−0.837065 | + | 0.547103i | \(0.815731\pi\) | |||||||
\(192\) | 0.707107 | − | 0.707107i | 0.0510310 | − | 0.0510310i | ||||
\(193\) | −9.60399 | − | 4.89348i | −0.691310 | − | 0.352240i | 0.0727815 | − | 0.997348i | \(-0.476812\pi\) |
−0.764092 | + | 0.645108i | \(0.776812\pi\) | |||||||
\(194\) | −10.6168 | − | 3.44960i | −0.762239 | − | 0.247666i | ||||
\(195\) | −0.0190659 | + | 5.27848i | −0.00136534 | + | 0.378000i | ||||
\(196\) | 11.0382 | + | 8.01975i | 0.788446 | + | 0.572839i | ||||
\(197\) | −18.7493 | − | 9.55326i | −1.33583 | − | 0.680641i | −0.367435 | − | 0.930049i | \(-0.619764\pi\) |
−0.968399 | + | 0.249408i | \(0.919764\pi\) | |||||||
\(198\) | −0.0963015 | − | 0.608024i | −0.00684385 | − | 0.0432104i | ||||
\(199\) | 10.3113 | − | 7.49157i | 0.730946 | − | 0.531064i | −0.158916 | − | 0.987292i | \(-0.550800\pi\) |
0.889863 | + | 0.456229i | \(0.150800\pi\) | |||||||
\(200\) | 4.43852 | + | 2.30208i | 0.313851 | + | 0.162781i | ||||
\(201\) | −0.480538 | − | 0.661404i | −0.0338945 | − | 0.0466518i | ||||
\(202\) | 7.58760 | + | 1.20176i | 0.533862 | + | 0.0845554i | ||||
\(203\) | 33.1962 | − | 16.9143i | 2.32992 | − | 1.18715i | ||||
\(204\) | −3.07197 | − | 4.22820i | −0.215081 | − | 0.296033i | ||||
\(205\) | −4.55130 | + | 13.8372i | −0.317877 | + | 0.966432i | ||||
\(206\) | −4.63765 | − | 14.2732i | −0.323120 | − | 0.994462i | ||||
\(207\) | 9.08352 | − | 1.43869i | 0.631348 | − | 0.0999957i | ||||
\(208\) | 2.10333 | − | 1.07170i | 0.145840 | − | 0.0743091i | ||||
\(209\) | 0.601478 | − | 1.85116i | 0.0416051 | − | 0.128047i | ||||
\(210\) | 1.62557 | − | 10.0288i | 0.112175 | − | 0.692056i | ||||
\(211\) | 12.3601 | 0.850907 | 0.425454 | − | 0.904980i | \(-0.360115\pi\) | ||||
0.425454 | + | 0.904980i | \(0.360115\pi\) | |||||||
\(212\) | 1.68546 | − | 1.68546i | 0.115758 | − | 0.115758i | ||||
\(213\) | 2.24869 | − | 4.41330i | 0.154078 | − | 0.302394i | ||||
\(214\) | 3.55847 | + | 4.89781i | 0.243252 | + | 0.334808i | ||||
\(215\) | −13.9418 | + | 7.04037i | −0.950821 | + | 0.480149i | ||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | 23.0956 | + | 10.3226i | 1.56783 | + | 0.700747i | ||||
\(218\) | −7.18945 | + | 7.18945i | −0.486931 | + | 0.486931i | ||||
\(219\) | −3.07201 | + | 4.22826i | −0.207587 | + | 0.285719i | ||||
\(220\) | −1.11071 | − | 0.813121i | −0.0748838 | − | 0.0548206i | ||||
\(221\) | −3.81248 | − | 11.7336i | −0.256455 | − | 0.789287i | ||||
\(222\) | −4.51671 | − | 4.51671i | −0.303142 | − | 0.303142i | ||||
\(223\) | −1.93387 | − | 1.93387i | −0.129502 | − | 0.129502i | 0.639385 | − | 0.768887i | \(-0.279189\pi\) |
−0.768887 | + | 0.639385i | \(0.779189\pi\) | |||||||
\(224\) | −4.32119 | + | 1.40404i | −0.288722 | + | 0.0938114i | ||||
\(225\) | −4.76632 | + | 1.51069i | −0.317755 | + | 0.100713i | ||||
\(226\) | −4.20027 | + | 12.9271i | −0.279398 | + | 0.859897i | ||||
\(227\) | 1.12582 | + | 7.10812i | 0.0747230 | + | 0.471783i | 0.996467 | + | 0.0839838i | \(0.0267644\pi\) |
−0.921744 | + | 0.387799i | \(0.873236\pi\) | |||||||
\(228\) | −1.43543 | + | 2.81720i | −0.0950640 | + | 0.186574i | ||||
\(229\) | −18.2214 | − | 13.2387i | −1.20411 | − | 0.874835i | −0.209425 | − | 0.977825i | \(-0.567159\pi\) |
−0.994682 | + | 0.102990i | \(0.967159\pi\) | |||||||
\(230\) | 12.1476 | − | 16.5933i | 0.800986 | − | 1.09413i | ||||
\(231\) | −0.864331 | + | 2.66014i | −0.0568688 | + | 0.175024i | ||||
\(232\) | −1.28275 | + | 8.09898i | −0.0842169 | + | 0.531724i | ||||
\(233\) | −0.390854 | + | 2.46776i | −0.0256057 | + | 0.161668i | −0.997178 | − | 0.0750756i | \(-0.976080\pi\) |
0.971572 | + | 0.236744i | \(0.0760802\pi\) | |||||||
\(234\) | −0.729473 | + | 2.24509i | −0.0476871 | + | 0.146766i | ||||
\(235\) | −4.15645 | − | 26.8706i | −0.271137 | − | 1.75285i | ||||
\(236\) | 5.46019 | + | 3.96706i | 0.355428 | + | 0.258234i | ||||
\(237\) | −0.627855 | + | 1.23223i | −0.0407836 | + | 0.0800422i | ||||
\(238\) | 3.71473 | + | 23.4539i | 0.240790 | + | 1.52029i | ||||
\(239\) | −3.60416 | + | 11.0925i | −0.233134 | + | 0.717512i | 0.764230 | + | 0.644944i | \(0.223119\pi\) |
−0.997363 | + | 0.0725681i | \(0.976881\pi\) | |||||||
\(240\) | 1.57542 | + | 1.58684i | 0.101693 | + | 0.102430i | ||||
\(241\) | −6.04831 | + | 1.96521i | −0.389606 | + | 0.126591i | −0.497268 | − | 0.867597i | \(-0.665663\pi\) |
0.107662 | + | 0.994188i | \(0.465663\pi\) | |||||||
\(242\) | −7.51020 | − | 7.51020i | −0.482774 | − | 0.482774i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | 2.67256 | + | 8.22529i | 0.171093 | + | 0.526570i | ||||
\(245\) | −18.0217 | + | 24.6173i | −1.15137 | + | 1.57274i | ||||
\(246\) | −3.82903 | + | 5.27021i | −0.244130 | + | 0.336016i | ||||
\(247\) | −5.27775 | + | 5.27775i | −0.335815 | + | 0.335815i | ||||
\(248\) | −4.82582 | + | 2.77695i | −0.306440 | + | 0.176336i | ||||
\(249\) | 0.423326i | 0.0268272i | ||||||||
\(250\) | −5.18341 | + | 9.90617i | −0.327828 | + | 0.626521i | ||||
\(251\) | −6.27619 | − | 8.63843i | −0.396150 | − | 0.545253i | 0.563623 | − | 0.826032i | \(-0.309407\pi\) |
−0.959772 | + | 0.280779i | \(0.909407\pi\) | |||||||
\(252\) | 2.06274 | − | 4.04835i | 0.129940 | − | 0.255022i | ||||
\(253\) | −4.00332 | + | 4.00332i | −0.251686 | + | 0.251686i | ||||
\(254\) | −2.52358 | −0.158344 | ||||||||
\(255\) | 9.47930 | − | 6.83494i | 0.593617 | − | 0.428020i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 23.4477 | − | 11.9472i | 1.46263 | − | 0.745245i | 0.471968 | − | 0.881616i | \(-0.343544\pi\) |
0.990658 | + | 0.136370i | \(0.0435437\pi\) | |||||||
\(258\) | −6.89884 | + | 1.09267i | −0.429503 | + | 0.0680266i | ||||
\(259\) | 8.96843 | + | 27.6020i | 0.557271 | + | 1.71510i | ||||
\(260\) | 2.37939 | + | 4.71182i | 0.147564 | + | 0.292214i | ||||
\(261\) | −4.81980 | − | 6.63389i | −0.298338 | − | 0.410628i | ||||
\(262\) | 14.5767 | − | 7.42719i | 0.900550 | − | 0.458853i | ||||
\(263\) | 8.55161 | + | 1.35444i | 0.527315 | + | 0.0835185i | 0.414415 | − | 0.910088i | \(-0.363986\pi\) |
0.112900 | + | 0.993606i | \(0.463986\pi\) | |||||||
\(264\) | −0.361842 | − | 0.498033i | −0.0222699 | − | 0.0306518i | ||||
\(265\) | 3.75516 | + | 3.78239i | 0.230678 | + | 0.232350i | ||||
\(266\) | 11.6223 | − | 8.44408i | 0.712608 | − | 0.517740i | ||||
\(267\) | −1.53149 | − | 9.66948i | −0.0937260 | − | 0.591762i | ||||
\(268\) | −0.728433 | − | 0.371155i | −0.0444962 | − | 0.0226719i | ||||
\(269\) | 4.25188 | + | 3.08917i | 0.259242 | + | 0.188350i | 0.709813 | − | 0.704391i | \(-0.248780\pi\) |
−0.450571 | + | 0.892741i | \(0.648780\pi\) | |||||||
\(270\) | −2.23605 | − | 0.00807665i | −0.136082 | − | 0.000491529i | ||||
\(271\) | −12.5613 | − | 4.08140i | −0.763042 | − | 0.247927i | −0.0984582 | − | 0.995141i | \(-0.531391\pi\) |
−0.664584 | + | 0.747214i | \(0.731391\pi\) | |||||||
\(272\) | −4.65671 | − | 2.37271i | −0.282354 | − | 0.143867i | ||||
\(273\) | 7.58418 | − | 7.58418i | 0.459016 | − | 0.459016i | ||||
\(274\) | 16.3692 | 0.988899 | ||||||||
\(275\) | 1.82715 | − | 2.47703i | 0.110181 | − | 0.149371i | ||||
\(276\) | 7.44032 | − | 5.40571i | 0.447855 | − | 0.325386i | ||||
\(277\) | 14.7354 | − | 2.33385i | 0.885362 | − | 0.140227i | 0.302839 | − | 0.953042i | \(-0.402066\pi\) |
0.582523 | + | 0.812814i | \(0.302066\pi\) | |||||||
\(278\) | 10.3478 | + | 10.3478i | 0.620618 | + | 0.620618i | ||||
\(279\) | 1.44877 | − | 5.37597i | 0.0867358 | − | 0.321851i | ||||
\(280\) | −3.10461 | − | 9.67375i | −0.185536 | − | 0.578117i | ||||
\(281\) | 3.38930 | + | 2.46247i | 0.202189 | + | 0.146899i | 0.684272 | − | 0.729226i | \(-0.260120\pi\) |
−0.482084 | + | 0.876125i | \(0.660120\pi\) | |||||||
\(282\) | 1.90221 | − | 12.0101i | 0.113275 | − | 0.715192i | ||||
\(283\) | −6.20661 | − | 3.16242i | −0.368945 | − | 0.187987i | 0.259682 | − | 0.965694i | \(-0.416382\pi\) |
−0.628626 | + | 0.777708i | \(0.716382\pi\) | |||||||
\(284\) | − | 4.95316i | − | 0.293916i | ||||||
\(285\) | −6.28781 | − | 3.23246i | −0.372458 | − | 0.191475i | ||||
\(286\) | −0.449066 | − | 1.38208i | −0.0265538 | − | 0.0817242i | ||||
\(287\) | 26.3723 | − | 13.4374i | 1.55671 | − | 0.793182i | ||||
\(288\) | 0.453990 | + | 0.891007i | 0.0267516 | + | 0.0525031i | ||||
\(289\) | −6.06281 | + | 8.34475i | −0.356636 | + | 0.490868i | ||||
\(290\) | −18.0994 | − | 2.93372i | −1.06283 | − | 0.172274i | ||||
\(291\) | 6.56152 | − | 9.03116i | 0.384643 | − | 0.529416i | ||||
\(292\) | −0.817591 | + | 5.16207i | −0.0478459 | + | 0.302087i | ||||
\(293\) | −12.8622 | − | 25.2434i | −0.751415 | − | 1.47474i | −0.875889 | − | 0.482513i | \(-0.839724\pi\) |
0.124474 | − | 0.992223i | \(-0.460276\pi\) | |||||||
\(294\) | −11.0382 | + | 8.01975i | −0.643763 | + | 0.467721i | ||||
\(295\) | −8.91466 | + | 12.1772i | −0.519032 | + | 0.708987i | ||||
\(296\) | −6.07496 | − | 1.97387i | −0.353100 | − | 0.114729i | ||||
\(297\) | 0.608024 | + | 0.0963015i | 0.0352811 | + | 0.00558798i | ||||
\(298\) | 2.79276 | − | 0.442330i | 0.161780 | − | 0.0256235i | ||||
\(299\) | 20.6475 | − | 6.70878i | 1.19408 | − | 0.387979i | ||||
\(300\) | −3.56098 | + | 3.50990i | −0.205593 | + | 0.202644i | ||||
\(301\) | 30.1828 | + | 9.80699i | 1.73971 | + | 0.565265i | ||||
\(302\) | −5.10824 | − | 10.0255i | −0.293946 | − | 0.576902i | ||||
\(303\) | −3.48764 | + | 6.84487i | −0.200360 | + | 0.393228i | ||||
\(304\) | 3.16182i | 0.181343i | ||||||||
\(305\) | −18.4138 | + | 5.90955i | −1.05437 | + | 0.338380i | ||||
\(306\) | 4.97055 | − | 1.61503i | 0.284147 | − | 0.0923251i | ||||
\(307\) | 29.9217 | + | 4.73912i | 1.70772 | + | 0.270476i | 0.932488 | − | 0.361201i | \(-0.117633\pi\) |
0.775231 | + | 0.631677i | \(0.217633\pi\) | |||||||
\(308\) | 0.437552 | + | 2.76260i | 0.0249319 | + | 0.157414i | ||||
\(309\) | 15.0077 | 0.853761 | ||||||||
\(310\) | −6.17043 | − | 10.8132i | −0.350457 | − | 0.614150i | ||||
\(311\) | 25.2973 | 1.43448 | 0.717240 | − | 0.696826i | \(-0.245405\pi\) | ||||
0.717240 | + | 0.696826i | \(0.245405\pi\) | |||||||
\(312\) | 0.369283 | + | 2.33156i | 0.0209065 | + | 0.131999i | ||||
\(313\) | 10.6151 | + | 1.68127i | 0.600002 | + | 0.0950310i | 0.449045 | − | 0.893509i | \(-0.351764\pi\) |
0.150957 | + | 0.988540i | \(0.451764\pi\) | |||||||
\(314\) | −8.17284 | + | 2.65552i | −0.461220 | + | 0.149860i | ||||
\(315\) | 9.03566 | + | 4.64509i | 0.509102 | + | 0.261721i | ||||
\(316\) | 1.38297i | 0.0777981i | ||||||||
\(317\) | −6.20933 | + | 12.1865i | −0.348751 | + | 0.684461i | −0.997036 | − | 0.0769359i | \(-0.975486\pi\) |
0.648286 | + | 0.761397i | \(0.275486\pi\) | |||||||
\(318\) | 1.08213 | + | 2.12380i | 0.0606829 | + | 0.119097i | ||||
\(319\) | 4.80084 | + | 1.55989i | 0.268796 | + | 0.0873370i | ||||
\(320\) | 2.12412 | + | 0.698660i | 0.118742 | + | 0.0390563i | ||||
\(321\) | −5.75772 | + | 1.87080i | −0.321365 | + | 0.104418i | ||||
\(322\) | −41.2716 | + | 6.53678i | −2.29998 | + | 0.364280i | ||||
\(323\) | 16.3213 | + | 2.58504i | 0.908141 | + | 0.143835i | ||||
\(324\) | −0.951057 | − | 0.309017i | −0.0528365 | − | 0.0171676i | ||||
\(325\) | −10.5551 | + | 5.28239i | −0.585491 | + | 0.293014i | ||||
\(326\) | −6.89971 | + | 5.01294i | −0.382140 | + | 0.277641i | ||||
\(327\) | −4.61591 | − | 9.05924i | −0.255261 | − | 0.500977i | ||||
\(328\) | −1.01907 | + | 6.43413i | −0.0562685 | + | 0.355265i | ||||
\(329\) | −32.4745 | + | 44.6974i | −1.79038 | + | 2.46424i | ||||
\(330\) | 1.11655 | − | 0.805076i | 0.0614641 | − | 0.0443180i | ||||
\(331\) | −6.75280 | + | 9.29444i | −0.371168 | + | 0.510868i | −0.953218 | − | 0.302285i | \(-0.902251\pi\) |
0.582050 | + | 0.813153i | \(0.302251\pi\) | |||||||
\(332\) | 0.192186 | + | 0.377186i | 0.0105476 | + | 0.0207008i | ||||
\(333\) | 5.69138 | − | 2.89990i | 0.311886 | − | 0.158914i | ||||
\(334\) | −7.18926 | − | 22.1263i | −0.393379 | − | 1.21070i | ||||
\(335\) | 0.835807 | − | 1.62582i | 0.0456650 | − | 0.0888279i | ||||
\(336\) | − | 4.54357i | − | 0.247872i | ||||||
\(337\) | 12.3449 | + | 6.29003i | 0.672469 | + | 0.342640i | 0.756659 | − | 0.653810i | \(-0.226830\pi\) |
−0.0841902 | + | 0.996450i | \(0.526830\pi\) | |||||||
\(338\) | 1.16191 | − | 7.33601i | 0.0631996 | − | 0.399026i | ||||
\(339\) | −10.9964 | − | 7.98938i | −0.597245 | − | 0.433924i | ||||
\(340\) | 5.34312 | − | 10.3935i | 0.289771 | − | 0.563666i | ||||
\(341\) | 1.22372 | + | 3.20164i | 0.0662679 | + | 0.173378i | ||||
\(342\) | −2.23574 | − | 2.23574i | −0.120895 | − | 0.120895i | ||||
\(343\) | 29.8159 | − | 4.72237i | 1.60991 | − | 0.254984i | ||||
\(344\) | −5.65085 | + | 4.10558i | −0.304673 | + | 0.221358i | ||||
\(345\) | 12.0274 | + | 16.6806i | 0.647532 | + | 0.898055i | ||||
\(346\) | 7.46937 | 0.401556 | ||||||||
\(347\) | 1.62078 | − | 1.62078i | 0.0870079 | − | 0.0870079i | −0.662263 | − | 0.749271i | \(-0.730404\pi\) |
0.749271 | + | 0.662263i | \(0.230404\pi\) | |||||||
\(348\) | −7.30620 | − | 3.72269i | −0.391653 | − | 0.199557i | ||||
\(349\) | −25.3455 | − | 8.23524i | −1.35671 | − | 0.440822i | −0.461767 | − | 0.887001i | \(-0.652784\pi\) |
−0.894944 | + | 0.446179i | \(0.852784\pi\) | |||||||
\(350\) | 21.6561 | − | 6.86394i | 1.15757 | − | 0.366893i | ||||
\(351\) | −1.90978 | − | 1.38754i | −0.101937 | − | 0.0740614i | ||||
\(352\) | −0.548506 | − | 0.279478i | −0.0292355 | − | 0.0148962i | ||||
\(353\) | −2.92912 | − | 18.4938i | −0.155901 | − | 0.984323i | −0.934283 | − | 0.356532i | \(-0.883959\pi\) |
0.778382 | − | 0.627791i | \(-0.216041\pi\) | |||||||
\(354\) | −5.46019 | + | 3.96706i | −0.290206 | + | 0.210847i | ||||
\(355\) | 11.0755 | + | 0.0400050i | 0.587828 | + | 0.00212324i | ||||
\(356\) | −5.75442 | − | 7.92028i | −0.304984 | − | 0.419774i | ||||
\(357\) | −23.4539 | − | 3.71473i | −1.24131 | − | 0.196604i | ||||
\(358\) | −8.63274 | + | 4.39860i | −0.456254 | + | 0.232473i | ||||
\(359\) | 7.58194 | + | 10.4356i | 0.400160 | + | 0.550772i | 0.960784 | − | 0.277298i | \(-0.0894389\pi\) |
−0.560624 | + | 0.828070i | \(0.689439\pi\) | |||||||
\(360\) | −1.99600 | + | 1.00795i | −0.105199 | + | 0.0531237i | ||||
\(361\) | 2.78205 | + | 8.56228i | 0.146424 | + | 0.450647i | ||||
\(362\) | 10.9488 | − | 1.73412i | 0.575457 | − | 0.0911435i | ||||
\(363\) | 9.46341 | − | 4.82185i | 0.496700 | − | 0.253081i | ||||
\(364\) | 3.31441 | − | 10.2007i | 0.173722 | − | 0.534662i | ||||
\(365\) | −11.5361 | − | 1.86987i | −0.603825 | − | 0.0978734i | ||||
\(366\) | −8.64858 | −0.452068 | ||||||||
\(367\) | −22.6072 | + | 22.6072i | −1.18008 | + | 1.18008i | −0.200363 | + | 0.979722i | \(0.564212\pi\) |
−0.979722 | + | 0.200363i | \(0.935788\pi\) | |||||||
\(368\) | 4.17524 | − | 8.19436i | 0.217649 | − | 0.427161i | ||||
\(369\) | −3.82903 | − | 5.27021i | −0.199331 | − | 0.274356i | ||||
\(370\) | 4.46275 | − | 13.5680i | 0.232007 | − | 0.705366i | ||||
\(371\) | − | 10.8300i | − | 0.562268i | ||||||
\(372\) | −1.14977 | − | 5.44775i | −0.0596129 | − | 0.282453i | ||||
\(373\) | 8.82851 | − | 8.82851i | 0.457123 | − | 0.457123i | −0.440587 | − | 0.897710i | \(-0.645230\pi\) |
0.897710 | + | 0.440587i | \(0.145230\pi\) | |||||||
\(374\) | −1.89111 | + | 2.60289i | −0.0977871 | + | 0.134592i | ||||
\(375\) | −7.81957 | − | 7.99089i | −0.403801 | − | 0.412648i | ||||
\(376\) | −3.75759 | − | 11.5647i | −0.193783 | − | 0.596403i | ||||
\(377\) | −13.6874 | − | 13.6874i | −0.704939 | − | 0.704939i | ||||
\(378\) | 3.21279 | + | 3.21279i | 0.165248 | + | 0.165248i | ||||
\(379\) | −11.0314 | + | 3.58431i | −0.566644 | + | 0.184114i | −0.578308 | − | 0.815818i | \(-0.696287\pi\) |
0.0116647 | + | 0.999932i | \(0.496287\pi\) | |||||||
\(380\) | −7.06999 | − | 0.0255369i | −0.362683 | − | 0.00131001i | ||||
\(381\) | 0.779829 | − | 2.40007i | 0.0399519 | − | 0.122959i | ||||
\(382\) | −3.61942 | − | 22.8521i | −0.185185 | − | 1.16921i | ||||
\(383\) | −6.01810 | + | 11.8112i | −0.307511 | + | 0.603523i | −0.992106 | − | 0.125400i | \(-0.959979\pi\) |
0.684596 | + | 0.728923i | \(0.259979\pi\) | |||||||
\(384\) | 0.809017 | + | 0.587785i | 0.0412850 | + | 0.0299953i | ||||
\(385\) | −6.18085 | + | 0.956078i | −0.315005 | + | 0.0487263i | ||||
\(386\) | 3.33083 | − | 10.2513i | 0.169535 | − | 0.521775i | ||||
\(387\) | 1.09267 | − | 6.89884i | 0.0555435 | − | 0.350688i | ||||
\(388\) | 1.74630 | − | 11.0257i | 0.0886548 | − | 0.559744i | ||||
\(389\) | −5.45553 | + | 16.7904i | −0.276606 | + | 0.851307i | 0.712184 | + | 0.701993i | \(0.247706\pi\) |
−0.988790 | + | 0.149313i | \(0.952294\pi\) | |||||||
\(390\) | −5.21648 | + | 0.806905i | −0.264147 | + | 0.0408592i | ||||
\(391\) | −38.8857 | − | 28.2521i | −1.96653 | − | 1.42877i | ||||
\(392\) | −6.19425 | + | 12.1569i | −0.312857 | + | 0.614016i | ||||
\(393\) | 2.55923 | + | 16.1584i | 0.129096 | + | 0.815082i | ||||
\(394\) | 6.50260 | − | 20.0129i | 0.327596 | − | 1.00824i | ||||
\(395\) | −3.09239 | − | 0.0111698i | −0.155595 | − | 0.000562012i | ||||
\(396\) | 0.585473 | − | 0.190232i | 0.0294211 | − | 0.00955950i | ||||
\(397\) | −1.91002 | − | 1.91002i | −0.0958609 | − | 0.0958609i | 0.657550 | − | 0.753411i | \(-0.271593\pi\) |
−0.753411 | + | 0.657550i | \(0.771593\pi\) | |||||||
\(398\) | 9.01238 | + | 9.01238i | 0.451750 | + | 0.451750i | ||||
\(399\) | 4.43932 | + | 13.6628i | 0.222244 | + | 0.683996i | ||||
\(400\) | −1.57940 | + | 4.74400i | −0.0789698 | + | 0.237200i | ||||
\(401\) | −10.3565 | + | 14.2545i | −0.517181 | + | 0.711838i | −0.985109 | − | 0.171928i | \(-0.945000\pi\) |
0.467929 | + | 0.883766i | \(0.345000\pi\) | |||||||
\(402\) | 0.578088 | − | 0.578088i | 0.0288324 | − | 0.0288324i | ||||
\(403\) | 1.39265 | − | 13.0694i | 0.0693728 | − | 0.651034i | ||||
\(404\) | 7.68218i | 0.382203i | ||||||||
\(405\) | 0.698660 | − | 2.12412i | 0.0347167 | − | 0.105548i | ||||
\(406\) | 21.8991 | + | 30.1415i | 1.08683 | + | 1.49590i | ||||
\(407\) | −1.78519 | + | 3.50363i | −0.0884885 | + | 0.173669i | ||||
\(408\) | 3.69558 | − | 3.69558i | 0.182959 | − | 0.182959i | ||||
\(409\) | 31.5611 | 1.56060 | 0.780299 | − | 0.625407i | \(-0.215067\pi\) | ||||
0.780299 | + | 0.625407i | \(0.215067\pi\) | |||||||
\(410\) | −14.3788 | − | 2.33065i | −0.710120 | − | 0.115103i | ||||
\(411\) | −5.05836 | + | 15.5680i | −0.249510 | + | 0.767914i | ||||
\(412\) | 13.3720 | − | 6.81337i | 0.658791 | − | 0.335671i | ||||
\(413\) | 30.2878 | − | 4.79711i | 1.49036 | − | 0.236050i | ||||
\(414\) | 2.84195 | + | 8.74663i | 0.139674 | + | 0.429873i | ||||
\(415\) | −0.844960 | + | 0.426691i | −0.0414775 | + | 0.0209455i | ||||
\(416\) | 1.38754 | + | 1.90978i | 0.0680297 | + | 0.0936349i | ||||
\(417\) | −13.0390 | + | 6.64368i | −0.638520 | + | 0.325342i | ||||
\(418\) | 1.92246 | + | 0.304488i | 0.0940306 | + | 0.0148930i | ||||
\(419\) | −11.1850 | − | 15.3948i | −0.546423 | − | 0.752087i | 0.443098 | − | 0.896473i | \(-0.353879\pi\) |
−0.989521 | + | 0.144386i | \(0.953879\pi\) | |||||||
\(420\) | 10.1597 | + | 0.0366968i | 0.495741 | + | 0.00179062i | ||||
\(421\) | −7.41527 | + | 5.38751i | −0.361398 | + | 0.262571i | −0.753635 | − | 0.657293i | \(-0.771701\pi\) |
0.392237 | + | 0.919864i | \(0.371701\pi\) | |||||||
\(422\) | 1.93355 | + | 12.2080i | 0.0941238 | + | 0.594275i | ||||
\(423\) | 10.8345 | + | 5.52044i | 0.526790 | + | 0.268413i | ||||
\(424\) | 1.92837 | + | 1.40104i | 0.0936501 | + | 0.0680408i | ||||
\(425\) | 23.1972 | + | 12.0314i | 1.12523 | + | 0.583611i | ||||
\(426\) | 4.71074 | + | 1.53061i | 0.228236 | + | 0.0741584i | ||||
\(427\) | 35.0125 | + | 17.8397i | 1.69437 | + | 0.863326i | ||||
\(428\) | −4.28084 | + | 4.28084i | −0.206922 | + | 0.206922i | ||||
\(429\) | 1.45321 | 0.0701615 | ||||||||
\(430\) | −9.13466 | − | 12.6688i | −0.440513 | − | 0.610942i | ||||
\(431\) | −4.20868 | + | 3.05779i | −0.202725 | + | 0.147288i | −0.684516 | − | 0.728998i | \(-0.739986\pi\) |
0.481791 | + | 0.876286i | \(0.339986\pi\) | |||||||
\(432\) | −0.987688 | + | 0.156434i | −0.0475202 | + | 0.00752646i | ||||
\(433\) | −25.4348 | − | 25.4348i | −1.22232 | − | 1.22232i | −0.966805 | − | 0.255514i | \(-0.917755\pi\) |
−0.255514 | − | 0.966805i | \(-0.582245\pi\) | |||||||
\(434\) | −6.58260 | + | 24.4261i | −0.315975 | + | 1.17249i | ||||
\(435\) | 8.38315 | − | 16.3070i | 0.401941 | − | 0.781860i | ||||
\(436\) | −8.22562 | − | 5.97626i | −0.393936 | − | 0.286211i | ||||
\(437\) | −4.54887 | + | 28.7204i | −0.217602 | + | 1.37388i | ||||
\(438\) | −4.65677 | − | 2.37274i | −0.222509 | − | 0.113374i | ||||
\(439\) | − | 27.2960i | − | 1.30277i | −0.758748 | − | 0.651384i | \(-0.774189\pi\) | ||
0.758748 | − | 0.651384i | \(-0.225811\pi\) | |||||||
\(440\) | 0.629357 | − | 1.22423i | 0.0300034 | − | 0.0583630i | ||||
\(441\) | −4.21623 | − | 12.9762i | −0.200773 | − | 0.617916i | ||||
\(442\) | 10.9927 | − | 5.60108i | 0.522871 | − | 0.266416i | ||||
\(443\) | −6.80973 | − | 13.3649i | −0.323540 | − | 0.634983i | 0.670751 | − | 0.741682i | \(-0.265972\pi\) |
−0.994291 | + | 0.106699i | \(0.965972\pi\) | |||||||
\(444\) | 3.75453 | − | 5.16767i | 0.178182 | − | 0.245247i | ||||
\(445\) | 17.7567 | − | 12.8032i | 0.841746 | − | 0.606931i | ||||
\(446\) | 1.60754 | − | 2.21259i | 0.0761191 | − | 0.104769i | ||||
\(447\) | −0.442330 | + | 2.79276i | −0.0209215 | + | 0.132093i | ||||
\(448\) | −2.06274 | − | 4.04835i | −0.0974552 | − | 0.191267i | ||||
\(449\) | 32.1428 | − | 23.3531i | 1.51691 | − | 1.10210i | 0.553923 | − | 0.832568i | \(-0.313130\pi\) |
0.962991 | − | 0.269535i | \(-0.0868699\pi\) | |||||||
\(450\) | −2.23771 | − | 4.47131i | −0.105487 | − | 0.210780i | ||||
\(451\) | 3.81397 | + | 1.23923i | 0.179593 | + | 0.0583532i | ||||
\(452\) | −13.4250 | − | 2.12631i | −0.631459 | − | 0.100013i | ||||
\(453\) | 11.1133 | − | 1.76018i | 0.522150 | − | 0.0827005i | ||||
\(454\) | −6.84449 | + | 2.22391i | −0.321228 | + | 0.104373i | ||||
\(455\) | 22.7826 | + | 7.49359i | 1.06806 | + | 0.351305i | ||||
\(456\) | −3.00707 | − | 0.977055i | −0.140819 | − | 0.0457548i | ||||
\(457\) | 7.42686 | + | 14.5760i | 0.347414 | + | 0.681838i | 0.996912 | − | 0.0785252i | \(-0.0250211\pi\) |
−0.649498 | + | 0.760363i | \(0.725021\pi\) | |||||||
\(458\) | 10.2252 | − | 20.0681i | 0.477792 | − | 0.937720i | ||||
\(459\) | 5.22634i | 0.243945i | ||||||||
\(460\) | 18.2893 | + | 9.40223i | 0.852743 | + | 0.438381i | ||||
\(461\) | 0.370986 | − | 0.120541i | 0.0172785 | − | 0.00561414i | −0.300365 | − | 0.953824i | \(-0.597108\pi\) |
0.317644 | + | 0.948210i | \(0.397108\pi\) | |||||||
\(462\) | −2.76260 | − | 0.437552i | −0.128528 | − | 0.0203568i | ||||
\(463\) | 4.11958 | + | 26.0100i | 0.191453 | + | 1.20879i | 0.876903 | + | 0.480668i | \(0.159606\pi\) |
−0.685449 | + | 0.728120i | \(0.740394\pi\) | |||||||
\(464\) | −8.19994 | −0.380673 | ||||||||
\(465\) | 12.1908 | − | 2.52695i | 0.565333 | − | 0.117185i | ||||
\(466\) | −2.49852 | −0.115742 | ||||||||
\(467\) | −0.230727 | − | 1.45676i | −0.0106768 | − | 0.0674106i | 0.981775 | − | 0.190049i | \(-0.0608646\pi\) |
−0.992451 | + | 0.122638i | \(0.960865\pi\) | |||||||
\(468\) | −2.33156 | − | 0.369283i | −0.107776 | − | 0.0170701i | ||||
\(469\) | −3.53275 | + | 1.14786i | −0.163127 | + | 0.0530032i | ||||
\(470\) | 25.8896 | − | 8.30877i | 1.19420 | − | 0.383255i | ||||
\(471\) | − | 8.59343i | − | 0.395965i | ||||||
\(472\) | −3.06406 | + | 6.01355i | −0.141035 | + | 0.276796i | ||||
\(473\) | 1.95211 | + | 3.83123i | 0.0897580 | + | 0.176160i | ||||
\(474\) | −1.31528 | − | 0.427361i | −0.0604129 | − | 0.0196293i | ||||
\(475\) | 0.114204 | − | 15.8087i | 0.00524002 | − | 0.725351i | ||||
\(476\) | −22.5840 | + | 7.33800i | −1.03514 | + | 0.336337i | ||||
\(477\) | −2.35425 | + | 0.372877i | −0.107794 | + | 0.0170729i | ||||
\(478\) | −11.5197 | − | 1.82454i | −0.526900 | − | 0.0834527i | ||||
\(479\) | 40.0714 | + | 13.0200i | 1.83091 | + | 0.594898i | 0.999213 | + | 0.0396675i | \(0.0126299\pi\) |
0.831696 | + | 0.555231i | \(0.187370\pi\) | |||||||
\(480\) | −1.32085 | + | 1.80426i | −0.0602884 | + | 0.0823527i | ||||
\(481\) | 12.1989 | − | 8.86303i | 0.556223 | − | 0.404120i | ||||
\(482\) | −2.88718 | − | 5.66642i | −0.131508 | − | 0.258098i | ||||
\(483\) | 6.53678 | − | 41.2716i | 0.297434 | − | 1.87792i | ||||
\(484\) | 6.24289 | − | 8.59260i | 0.283768 | − | 0.390573i | ||||
\(485\) | 24.6399 | + | 3.99386i | 1.11884 | + | 0.181352i | ||||
\(486\) | 0.587785 | − | 0.809017i | 0.0266625 | − | 0.0366978i | ||||
\(487\) | 10.0416 | + | 19.7077i | 0.455027 | + | 0.893041i | 0.998560 | + | 0.0536529i | \(0.0170865\pi\) |
−0.543532 | + | 0.839388i | \(0.682914\pi\) | |||||||
\(488\) | −7.70594 | + | 3.92637i | −0.348832 | + | 0.177739i | ||||
\(489\) | −2.63546 | − | 8.11110i | −0.119179 | − | 0.366797i | ||||
\(490\) | −27.1335 | − | 13.9489i | −1.22576 | − | 0.630146i | ||||
\(491\) | − | 16.1920i | − | 0.730735i | −0.930863 | − | 0.365367i | \(-0.880943\pi\) | ||
0.930863 | − | 0.365367i | \(-0.119057\pi\) | |||||||
\(492\) | −5.80431 | − | 2.95744i | −0.261679 | − | 0.133332i | ||||
\(493\) | −6.70411 | + | 42.3281i | −0.301938 | + | 1.90636i | ||||
\(494\) | −6.03839 | − | 4.38715i | −0.271680 | − | 0.197387i | ||||
\(495\) | 0.420640 | + | 1.31069i | 0.0189063 | + | 0.0589109i | ||||
\(496\) | −3.49768 | − | 4.33200i | −0.157051 | − | 0.194512i | ||||
\(497\) | −15.9135 | − | 15.9135i | −0.713816 | − | 0.713816i | ||||
\(498\) | −0.418114 | + | 0.0662227i | −0.0187361 | + | 0.00296751i | ||||
\(499\) | 9.26599 | − | 6.73213i | 0.414802 | − | 0.301372i | −0.360741 | − | 0.932666i | \(-0.617476\pi\) |
0.775543 | + | 0.631294i | \(0.217476\pi\) | |||||||
\(500\) | −10.5951 | − | 3.56993i | −0.473826 | − | 0.159652i | ||||
\(501\) | 23.2649 | 1.03940 | ||||||||
\(502\) | 7.55027 | − | 7.55027i | 0.336985 | − | 0.336985i | ||||
\(503\) | −15.3852 | − | 7.83914i | −0.685991 | − | 0.349530i | 0.0760087 | − | 0.997107i | \(-0.475782\pi\) |
−0.762000 | + | 0.647577i | \(0.775782\pi\) | |||||||
\(504\) | 4.32119 | + | 1.40404i | 0.192481 | + | 0.0625409i | ||||
\(505\) | −17.1778 | − | 0.0620463i | −0.764401 | − | 0.00276102i | ||||
\(506\) | −4.58028 | − | 3.32777i | −0.203619 | − | 0.147938i | ||||
\(507\) | 6.61791 | + | 3.37199i | 0.293912 | + | 0.149755i | ||||
\(508\) | −0.394775 | − | 2.49251i | −0.0175153 | − | 0.110587i | ||||
\(509\) | −5.22279 | + | 3.79458i | −0.231496 | + | 0.168192i | −0.697486 | − | 0.716598i | \(-0.745698\pi\) |
0.465990 | + | 0.884790i | \(0.345698\pi\) | |||||||
\(510\) | 8.23367 | + | 8.29337i | 0.364593 | + | 0.367237i | ||||
\(511\) | 13.9579 | + | 19.2114i | 0.617460 | + | 0.849861i | ||||
\(512\) | 0.987688 | + | 0.156434i | 0.0436501 | + | 0.00691349i | ||||
\(513\) | 2.81720 | − | 1.43543i | 0.124382 | − | 0.0633760i | ||||
\(514\) | 15.4681 | + | 21.2901i | 0.682270 | + | 0.939064i | ||||
\(515\) | 15.1271 | + | 29.9555i | 0.666578 | + | 1.32000i | ||||
\(516\) | −2.15843 | − | 6.64297i | −0.0950197 | − | 0.292441i | ||||
\(517\) | −7.39346 | + | 1.17101i | −0.325164 | + | 0.0515009i | ||||
\(518\) | −25.8592 | + | 13.1759i | −1.13619 | + | 0.578916i | ||||
\(519\) | −2.30816 | + | 7.10379i | −0.101317 | + | 0.311822i | ||||
\(520\) | −4.28159 | + | 3.08719i | −0.187760 | + | 0.135382i | ||||
\(521\) | 6.25003 | 0.273819 | 0.136909 | − | 0.990584i | \(-0.456283\pi\) | ||||
0.136909 | + | 0.990584i | \(0.456283\pi\) | |||||||
\(522\) | 5.79823 | − | 5.79823i | 0.253782 | − | 0.253782i | ||||
\(523\) | −1.36276 | + | 2.67457i | −0.0595895 | + | 0.116951i | −0.918880 | − | 0.394536i | \(-0.870905\pi\) |
0.859291 | + | 0.511487i | \(0.170905\pi\) | |||||||
\(524\) | 9.61604 | + | 13.2353i | 0.420079 | + | 0.578189i | ||||
\(525\) | −0.164112 | + | 22.7172i | −0.00716244 | + | 0.991462i | ||||
\(526\) | 8.65821i | 0.377516i | ||||||||
\(527\) | −25.2214 | + | 14.5133i | −1.09866 | + | 0.632209i | ||||
\(528\) | 0.435297 | − | 0.435297i | 0.0189439 | − | 0.0189439i | ||||
\(529\) | 36.1959 | − | 49.8194i | 1.57374 | − | 2.16606i | ||||
\(530\) | −3.14839 | + | 4.30063i | −0.136757 | + | 0.186807i | ||||
\(531\) | −2.08561 | − | 6.41884i | −0.0905077 | − | 0.278554i | ||||
\(532\) | 10.1582 | + | 10.1582i | 0.440416 | + | 0.440416i | ||||
\(533\) | −10.8738 | − | 10.8738i | −0.470997 | − | 0.470997i | ||||
\(534\) | 9.31085 | − | 3.02528i | 0.402920 | − | 0.130917i | ||||
\(535\) | −9.53762 | − | 9.60677i | −0.412347 | − | 0.415337i | ||||
\(536\) | 0.252634 | − | 0.777527i | 0.0109121 | − | 0.0335840i | ||||
\(537\) | −1.51565 | − | 9.56946i | −0.0654053 | − | 0.412953i | ||||
\(538\) | −2.38600 | + | 4.68278i | −0.102868 | + | 0.201889i | ||||
\(539\) | 6.79517 | + | 4.93698i | 0.292689 | + | 0.212651i | ||||
\(540\) | −0.341819 | − | 2.20979i | −0.0147095 | − | 0.0950941i | ||||
\(541\) | 10.3765 | − | 31.9355i | 0.446119 | − | 1.37301i | −0.435132 | − | 0.900367i | \(-0.643298\pi\) |
0.881252 | − | 0.472648i | \(-0.156702\pi\) | |||||||
\(542\) | 2.06614 | − | 13.0451i | 0.0887482 | − | 0.560334i | ||||
\(543\) | −1.73412 | + | 10.9488i | −0.0744183 | + | 0.469859i | ||||
\(544\) | 1.61503 | − | 4.97055i | 0.0692438 | − | 0.213111i | ||||
\(545\) | 13.4297 | − | 18.3447i | 0.575264 | − | 0.785799i | ||||
\(546\) | 8.67724 | + | 6.30438i | 0.371352 | + | 0.269803i | ||||
\(547\) | −3.54626 | + | 6.95993i | −0.151627 | + | 0.297585i | −0.954309 | − | 0.298823i | \(-0.903406\pi\) |
0.802681 | + | 0.596408i | \(0.203406\pi\) | |||||||
\(548\) | 2.56071 | + | 16.1677i | 0.109388 | + | 0.690648i | ||||
\(549\) | 2.67256 | − | 8.22529i | 0.114062 | − | 0.351047i | ||||
\(550\) | 2.73236 | + | 1.41716i | 0.116508 | + | 0.0604281i | ||||
\(551\) | 24.6578 | − | 8.01179i | 1.05046 | − | 0.341314i | ||||
\(552\) | 6.50308 | + | 6.50308i | 0.276790 | + | 0.276790i | ||||
\(553\) | 4.44319 | + | 4.44319i | 0.188944 | + | 0.188944i | ||||
\(554\) | 4.61023 | + | 14.1888i | 0.195870 | + | 0.602826i | ||||
\(555\) | 11.5249 | + | 8.43707i | 0.489203 | + | 0.358134i | ||||
\(556\) | −8.60162 | + | 11.8391i | −0.364790 | + | 0.502091i | ||||
\(557\) | −11.3565 | + | 11.3565i | −0.481191 | + | 0.481191i | −0.905512 | − | 0.424321i | \(-0.860513\pi\) |
0.424321 | + | 0.905512i | \(0.360513\pi\) | |||||||
\(558\) | 5.53642 | + | 0.589950i | 0.234375 | + | 0.0249746i | ||||
\(559\) | − | 16.4886i | − | 0.697392i | ||||||
\(560\) | 9.06898 | − | 4.57969i | 0.383235 | − | 0.193527i | ||||
\(561\) | −1.89111 | − | 2.60289i | −0.0798428 | − | 0.109894i | ||||
\(562\) | −1.90195 | + | 3.73279i | −0.0802290 | + | 0.157458i | ||||
\(563\) | 11.5729 | − | 11.5729i | 0.487738 | − | 0.487738i | −0.419854 | − | 0.907592i | \(-0.637919\pi\) |
0.907592 | + | 0.419854i | \(0.137919\pi\) | |||||||
\(564\) | 12.1598 | 0.512021 | ||||||||
\(565\) | 4.86297 | − | 30.0018i | 0.204587 | − | 1.26219i | ||||
\(566\) | 2.15256 | − | 6.62491i | 0.0904789 | − | 0.278466i | ||||
\(567\) | −4.04835 | + | 2.06274i | −0.170015 | + | 0.0866268i | ||||
\(568\) | 4.89218 | − | 0.774845i | 0.205271 | − | 0.0325118i | ||||
\(569\) | −14.1917 | − | 43.6774i | −0.594945 | − | 1.83105i | −0.554999 | − | 0.831851i | \(-0.687281\pi\) |
−0.0399461 | − | 0.999202i | \(-0.512719\pi\) | |||||||
\(570\) | 2.20903 | − | 6.71607i | 0.0925263 | − | 0.281305i | ||||
\(571\) | 15.4843 | + | 21.3123i | 0.647998 | + | 0.891892i | 0.999010 | − | 0.0444783i | \(-0.0141626\pi\) |
−0.351013 | + | 0.936371i | \(0.614163\pi\) | |||||||
\(572\) | 1.29482 | − | 0.659742i | 0.0541390 | − | 0.0275852i | ||||
\(573\) | 22.8521 | + | 3.61942i | 0.954660 | + | 0.151203i | ||||
\(574\) | 17.3975 | + | 23.9455i | 0.726156 | + | 0.999468i | ||||
\(575\) | −21.1716 | + | 40.8199i | −0.882917 | + | 1.70231i | ||||
\(576\) | −0.809017 | + | 0.587785i | −0.0337090 | + | 0.0244911i | ||||
\(577\) | −1.72220 | − | 10.8735i | −0.0716959 | − | 0.452670i | −0.997254 | − | 0.0740635i | \(-0.976403\pi\) |
0.925558 | − | 0.378607i | \(-0.123597\pi\) | |||||||
\(578\) | −9.19044 | − | 4.68277i | −0.382272 | − | 0.194777i | ||||
\(579\) | 8.72024 | + | 6.33562i | 0.362401 | + | 0.263300i | ||||
\(580\) | 0.0662281 | − | 18.3355i | 0.00274997 | − | 0.761340i | ||||
\(581\) | 1.82927 | + | 0.594366i | 0.0758910 | + | 0.0246585i | ||||
\(582\) | 9.94642 | + | 5.06795i | 0.412292 | + | 0.210073i | ||||
\(583\) | 1.03757 | − | 1.03757i | 0.0429719 | − | 0.0429719i | ||||
\(584\) | −5.22641 | −0.216270 | ||||||||
\(585\) | 0.844568 | − | 5.21051i | 0.0349186 | − | 0.215428i | ||||
\(586\) | 22.9205 | − | 16.6527i | 0.946839 | − | 0.687919i | ||||
\(587\) | 26.2430 | − | 4.15648i | 1.08316 | − | 0.171556i | 0.410762 | − | 0.911743i | \(-0.365263\pi\) |
0.672402 | + | 0.740186i | \(0.265263\pi\) | |||||||
\(588\) | −9.64778 | − | 9.64778i | −0.397868 | − | 0.397868i | ||||
\(589\) | 14.7504 | + | 9.60918i | 0.607778 | + | 0.395939i | ||||
\(590\) | −13.4219 | − | 6.89997i | −0.552570 | − | 0.284067i | ||||
\(591\) | 17.0240 | + | 12.3687i | 0.700275 | + | 0.508780i | ||||
\(592\) | 0.999239 | − | 6.30895i | 0.0410685 | − | 0.259296i | ||||
\(593\) | −23.2943 | − | 11.8690i | −0.956581 | − | 0.487402i | −0.0952539 | − | 0.995453i | \(-0.530366\pi\) |
−0.861327 | + | 0.508051i | \(0.830366\pi\) | |||||||
\(594\) | 0.615603i | 0.0252585i | ||||||||
\(595\) | −16.2257 | − | 50.5584i | −0.665191 | − | 2.07269i | ||||
\(596\) | 0.873768 | + | 2.68918i | 0.0357909 | + | 0.110153i | ||||
\(597\) | −11.3563 | + | 5.78630i | −0.464781 | + | 0.236818i | ||||
\(598\) | 9.85616 | + | 19.3438i | 0.403048 | + | 0.791027i | ||||
\(599\) | −17.9061 | + | 24.6456i | −0.731622 | + | 1.00699i | 0.267435 | + | 0.963576i | \(0.413824\pi\) |
−0.999057 | + | 0.0434158i | \(0.986176\pi\) | |||||||
\(600\) | −4.02375 | − | 2.96807i | −0.164269 | − | 0.121171i | ||||
\(601\) | −9.81104 | + | 13.5037i | −0.400201 | + | 0.550829i | −0.960794 | − | 0.277262i | \(-0.910573\pi\) |
0.560594 | + | 0.828091i | \(0.310573\pi\) | |||||||
\(602\) | −4.96462 | + | 31.3454i | −0.202343 | + | 1.27754i | ||||
\(603\) | 0.371155 | + | 0.728433i | 0.0151146 | + | 0.0296641i | ||||
\(604\) | 9.10295 | − | 6.61368i | 0.370394 | − | 0.269107i | ||||
\(605\) | 19.1631 | + | 14.0288i | 0.779090 | + | 0.570353i | ||||
\(606\) | −7.30619 | − | 2.37392i | −0.296794 | − | 0.0964341i | ||||
\(607\) | −29.5550 | − | 4.68105i | −1.19960 | − | 0.189998i | −0.475515 | − | 0.879708i | \(-0.657738\pi\) |
−0.724086 | + | 0.689710i | \(0.757738\pi\) | |||||||
\(608\) | −3.12289 | + | 0.494617i | −0.126650 | + | 0.0200594i | ||||
\(609\) | −35.4335 | + | 11.5130i | −1.43584 | + | 0.466532i | ||||
\(610\) | −8.71734 | − | 17.2626i | −0.352955 | − | 0.698942i | ||||
\(611\) | 27.2998 | + | 8.87026i | 1.10443 | + | 0.358852i | ||||
\(612\) | 2.37271 | + | 4.65671i | 0.0959111 | + | 0.188236i | ||||
\(613\) | 10.4575 | − | 20.5240i | 0.422374 | − | 0.828955i | −0.577547 | − | 0.816357i | \(-0.695990\pi\) |
0.999921 | − | 0.0125974i | \(-0.00400998\pi\) | |||||||
\(614\) | 30.2946i | 1.22259i | ||||||||
\(615\) | 6.65988 | − | 12.9549i | 0.268552 | − | 0.522391i | ||||
\(616\) | −2.66014 | + | 0.864331i | −0.107180 | + | 0.0348249i | ||||
\(617\) | −36.6475 | − | 5.80439i | −1.47537 | − | 0.233676i | −0.633663 | − | 0.773609i | \(-0.718450\pi\) |
−0.841708 | + | 0.539933i | \(0.818450\pi\) | |||||||
\(618\) | 2.34773 | + | 14.8230i | 0.0944395 | + | 0.596268i | ||||
\(619\) | 46.7286 | 1.87818 | 0.939090 | − | 0.343672i | \(-0.111671\pi\) | ||||
0.939090 | + | 0.343672i | \(0.111671\pi\) | |||||||
\(620\) | 9.71483 | − | 7.78602i | 0.390157 | − | 0.312694i | ||||
\(621\) | −9.19675 | −0.369053 | ||||||||
\(622\) | 3.95738 | + | 24.9859i | 0.158676 | + | 1.00184i | ||||
\(623\) | −43.9339 | − | 6.95845i | −1.76018 | − | 0.278784i | ||||
\(624\) | −2.24509 | + | 0.729473i | −0.0898754 | + | 0.0292023i | ||||
\(625\) | 8.06813 | − | 23.6623i | 0.322725 | − | 0.946493i | ||||
\(626\) | 10.7474i | 0.429554i | ||||||||
\(627\) | −0.883658 | + | 1.73428i | −0.0352899 | + | 0.0692603i | ||||
\(628\) | −3.90134 | − | 7.65681i | −0.155680 | − | 0.305540i | ||||
\(629\) | −31.7498 | − | 10.3161i | −1.26595 | − | 0.411331i | ||||
\(630\) | −3.17441 | + | 9.65107i | −0.126471 | + | 0.384508i | ||||
\(631\) | 0.331659 | − | 0.107763i | 0.0132031 | − | 0.00428996i | −0.302408 | − | 0.953179i | \(-0.597790\pi\) |
0.315611 | + | 0.948889i | \(0.397790\pi\) | |||||||
\(632\) | −1.36594 | + | 0.216344i | −0.0543343 | + | 0.00860570i | ||||
\(633\) | −12.2080 | − | 1.93355i | −0.485223 | − | 0.0768518i | ||||
\(634\) | −13.0078 | − | 4.22649i | −0.516606 | − | 0.167855i | ||||
\(635\) | 5.57658 | − | 0.862607i | 0.221300 | − | 0.0342315i | ||||
\(636\) | −1.92837 | + | 1.40104i | −0.0764650 | + | 0.0555550i | ||||
\(637\) | −14.6223 | − | 28.6979i | −0.579357 | − | 1.13705i | ||||
\(638\) | −0.789666 | + | 4.98576i | −0.0312632 | + | 0.197388i | ||||
\(639\) | −2.91140 | + | 4.00719i | −0.115173 | + | 0.158522i | ||||
\(640\) | −0.357773 | + | 2.20726i | −0.0141422 | + | 0.0872496i | ||||
\(641\) | 0.175149 | − | 0.241072i | 0.00691798 | − | 0.00952179i | −0.805544 | − | 0.592536i | \(-0.798127\pi\) |
0.812462 | + | 0.583014i | \(0.198127\pi\) | |||||||
\(642\) | −2.74847 | − | 5.39418i | −0.108474 | − | 0.212891i | ||||
\(643\) | 40.0725 | − | 20.4180i | 1.58031 | − | 0.805207i | 0.580349 | − | 0.814368i | \(-0.302916\pi\) |
0.999958 | + | 0.00916130i | \(0.00291617\pi\) | |||||||
\(644\) | −12.9126 | − | 39.7409i | −0.508828 | − | 1.56601i | ||||
\(645\) | 14.8715 | − | 4.77272i | 0.585564 | − | 0.187926i | ||||
\(646\) | 16.5247i | 0.650157i | ||||||||
\(647\) | −17.1325 | − | 8.72943i | −0.673547 | − | 0.343189i | 0.0835392 | − | 0.996504i | \(-0.473378\pi\) |
−0.757086 | + | 0.653315i | \(0.773378\pi\) | |||||||
\(648\) | 0.156434 | − | 0.987688i | 0.00614533 | − | 0.0388001i | ||||
\(649\) | 3.36131 | + | 2.44214i | 0.131943 | + | 0.0958622i | ||||
\(650\) | −6.86854 | − | 9.59879i | −0.269406 | − | 0.376496i | ||||
\(651\) | −21.1965 | − | 13.8085i | −0.830755 | − | 0.541198i | ||||
\(652\) | −6.03057 | − | 6.03057i | −0.236175 | − | 0.236175i | ||||
\(653\) | 10.8933 | − | 1.72533i | 0.426289 | − | 0.0675175i | 0.0603960 | − | 0.998174i | \(-0.480764\pi\) |
0.365893 | + | 0.930657i | \(0.380764\pi\) | |||||||
\(654\) | 8.22562 | − | 5.97626i | 0.321647 | − | 0.233690i | ||||
\(655\) | −29.6726 | + | 21.3951i | −1.15940 | + | 0.835975i | ||||
\(656\) | −6.51433 | −0.254342 | ||||||||
\(657\) | 3.69563 | − | 3.69563i | 0.144180 | − | 0.144180i | ||||
\(658\) | −49.2272 | − | 25.0825i | −1.91908 | − | 0.977818i | ||||
\(659\) | −29.8449 | − | 9.69720i | −1.16259 | − | 0.377749i | −0.336719 | − | 0.941605i | \(-0.609317\pi\) |
−0.825873 | + | 0.563856i | \(0.809317\pi\) | |||||||
\(660\) | 0.969831 | + | 0.976863i | 0.0377506 | + | 0.0380243i | ||||
\(661\) | −36.0876 | − | 26.2192i | −1.40364 | − | 1.01981i | −0.994209 | − | 0.107468i | \(-0.965726\pi\) |
−0.409435 | − | 0.912339i | \(-0.634274\pi\) | |||||||
\(662\) | −10.2364 | − | 5.21569i | −0.397848 | − | 0.202714i | ||||
\(663\) | 1.93000 | + | 12.1855i | 0.0749550 | + | 0.473247i | ||||
\(664\) | −0.342478 | + | 0.248825i | −0.0132907 | + | 0.00965627i | ||||
\(665\) | −22.7964 | + | 22.6323i | −0.884007 | + | 0.877644i | ||||
\(666\) | 3.75453 | + | 5.16767i | 0.145485 | + | 0.200243i | ||||
\(667\) | −74.4843 | − | 11.7972i | −2.88404 | − | 0.456788i | ||||
\(668\) | 20.7292 | − | 10.5621i | 0.802038 | − | 0.408659i | ||||
\(669\) | 1.60754 | + | 2.21259i | 0.0621510 | + | 0.0855435i | ||||
\(670\) | 1.73655 | + | 0.571182i | 0.0670888 | + | 0.0220667i | ||||
\(671\) | 1.64523 | + | 5.06351i | 0.0635136 | + | 0.195475i | ||||
\(672\) | 4.48763 | − | 0.710771i | 0.173114 | − | 0.0274186i | ||||
\(673\) | −15.2224 | + | 7.75618i | −0.586779 | + | 0.298979i | −0.722062 | − | 0.691828i | \(-0.756806\pi\) |
0.135283 | + | 0.990807i | \(0.456806\pi\) | |||||||
\(674\) | −4.28143 | + | 13.1769i | −0.164914 | + | 0.507554i | ||||
\(675\) | 4.94396 | − | 0.746477i | 0.190293 | − | 0.0287319i | ||||
\(676\) | 7.42745 | 0.285671 | ||||||||
\(677\) | 28.1709 | − | 28.1709i | 1.08270 | − | 1.08270i | 0.0864398 | − | 0.996257i | \(-0.472451\pi\) |
0.996257 | − | 0.0864398i | \(-0.0275490\pi\) | |||||||
\(678\) | 6.17080 | − | 12.1109i | 0.236988 | − | 0.465115i | ||||
\(679\) | −29.8127 | − | 41.0337i | −1.14411 | − | 1.57473i | ||||
\(680\) | 11.1014 | + | 3.65144i | 0.425718 | + | 0.140026i | ||||
\(681\) | − | 7.19672i | − | 0.275779i | ||||||
\(682\) | −2.97079 | + | 1.70950i | −0.113757 | + | 0.0654600i | ||||
\(683\) | −23.8851 | + | 23.8851i | −0.913937 | + | 0.913937i | −0.996579 | − | 0.0826420i | \(-0.973664\pi\) |
0.0826420 | + | 0.996579i | \(0.473664\pi\) | |||||||
\(684\) | 1.85847 | − | 2.55796i | 0.0710603 | − | 0.0978062i | ||||
\(685\) | −36.1724 | + | 5.59529i | −1.38208 | + | 0.213785i | ||||
\(686\) | 9.32846 | + | 28.7101i | 0.356162 | + | 1.09615i | ||||
\(687\) | 15.9261 | + | 15.9261i | 0.607620 | + | 0.607620i | ||||
\(688\) | −4.93903 | − | 4.93903i | −0.188299 | − | 0.188299i | ||||
\(689\) | −5.35139 | + | 1.73877i | −0.203872 | + | 0.0662419i | ||||
\(690\) | −14.5938 | + | 14.4887i | −0.555575 | + | 0.551576i | ||||
\(691\) | −15.5350 | + | 47.8118i | −0.590979 | + | 1.81885i | −0.0171751 | + | 0.999852i | \(0.505467\pi\) |
−0.573804 | + | 0.818993i | \(0.694533\pi\) | |||||||
\(692\) | 1.16847 | + | 7.37741i | 0.0444184 | + | 0.280447i | ||||
\(693\) | 1.26983 | − | 2.49218i | 0.0482367 | − | 0.0946699i | ||||
\(694\) | 1.85437 | + | 1.34728i | 0.0703909 | + | 0.0511419i | ||||
\(695\) | −26.4034 | − | 19.3293i | −1.00154 | − | 0.733203i | ||||
\(696\) | 2.53392 | − | 7.79861i | 0.0960480 | − | 0.295605i | ||||
\(697\) | −5.32599 | + | 33.6270i | −0.201736 | + | 1.27371i | ||||
\(698\) | 4.16894 | − | 26.3217i | 0.157797 | − | 0.996290i | ||||
\(699\) | 0.772085 | − | 2.37623i | 0.0292029 | − | 0.0898774i | ||||
\(700\) | 10.1672 | + | 20.3157i | 0.384284 | + | 0.767862i | ||||
\(701\) | −0.907111 | − | 0.659055i | −0.0342611 | − | 0.0248922i | 0.570523 | − | 0.821282i | \(-0.306741\pi\) |
−0.604784 | + | 0.796390i | \(0.706741\pi\) | |||||||
\(702\) | 1.07170 | − | 2.10333i | 0.0404487 | − | 0.0793851i | ||||
\(703\) | 3.15941 | + | 19.9477i | 0.119159 | + | 0.752343i | ||||
\(704\) | 0.190232 | − | 0.585473i | 0.00716963 | − | 0.0220658i | ||||
\(705\) | −0.0982106 | + | 27.1900i | −0.00369883 | + | 1.02403i | ||||
\(706\) | 17.8078 | − | 5.78612i | 0.670207 | − | 0.217764i | ||||
\(707\) | 24.6812 | + | 24.6812i | 0.928233 | + | 0.928233i | ||||
\(708\) | −4.77238 | − | 4.77238i | −0.179357 | − | 0.179357i | ||||
\(709\) | 3.41876 | + | 10.5219i | 0.128394 | + | 0.395156i | 0.994504 | − | 0.104697i | \(-0.0333872\pi\) |
−0.866110 | + | 0.499853i | \(0.833387\pi\) | |||||||
\(710\) | 1.69308 | + | 10.9454i | 0.0635403 | + | 0.410775i | ||||
\(711\) | 0.812889 | − | 1.11885i | 0.0304857 | − | 0.0419600i | ||||
\(712\) | 6.92258 | − | 6.92258i | 0.259435 | − | 0.259435i | ||||
\(713\) | −25.5389 | − | 44.3819i | −0.956439 | − | 1.66211i | ||||
\(714\) | − | 23.7463i | − | 0.888681i | ||||||
\(715\) | 1.46476 | + | 2.90061i | 0.0547789 | + | 0.108477i | ||||
\(716\) | −5.69490 | − | 7.83836i | −0.212828 | − | 0.292933i | ||||
\(717\) | 5.29503 | − | 10.3921i | 0.197747 | − | 0.388100i | ||||
\(718\) | −9.12109 | + | 9.12109i | −0.340396 | + | 0.340396i | ||||
\(719\) | 6.60053 | 0.246158 | 0.123079 | − | 0.992397i | \(-0.460723\pi\) | ||||
0.123079 | + | 0.992397i | \(0.460723\pi\) | |||||||
\(720\) | −1.30779 | − | 1.81375i | −0.0487383 | − | 0.0675946i | ||||
\(721\) | 21.0715 | − | 64.8513i | 0.784743 | − | 2.41519i | ||||
\(722\) | −8.02166 | + | 4.08724i | −0.298535 | + | 0.152111i | ||||
\(723\) | 6.28127 | − | 0.994856i | 0.233603 | − | 0.0369991i | ||||
\(724\) | 3.42555 | + | 10.5427i | 0.127309 | + | 0.391818i | ||||
\(725\) | 40.9986 | + | 0.296179i | 1.52265 | + | 0.0109998i | ||||
\(726\) | 6.24289 | + | 8.59260i | 0.231695 | + | 0.318901i | ||||
\(727\) | −7.37545 | + | 3.75798i | −0.273540 | + | 0.139376i | −0.585380 | − | 0.810759i | \(-0.699055\pi\) |
0.311840 | + | 0.950135i | \(0.399055\pi\) | |||||||
\(728\) | 10.5936 | + | 1.67786i | 0.392625 | + | 0.0621857i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 0.0422119 | − | 11.6865i | 0.00156233 | − | 0.432538i | ||||
\(731\) | −29.5333 | + | 21.4572i | −1.09233 | + | 0.793623i | ||||
\(732\) | −1.35294 | − | 8.54210i | −0.0500059 | − | 0.315725i | ||||
\(733\) | 29.1654 | + | 14.8605i | 1.07725 | + | 0.548885i | 0.900271 | − | 0.435330i | \(-0.143368\pi\) |
0.176977 | + | 0.984215i | \(0.443368\pi\) | |||||||
\(734\) | −25.8654 | − | 18.7923i | −0.954709 | − | 0.693636i | ||||
\(735\) | 21.6509 | − | 21.4950i | 0.798604 | − | 0.792856i | ||||
\(736\) | 8.74663 | + | 2.84195i | 0.322405 | + | 0.104756i | ||||
\(737\) | −0.448426 | − | 0.228484i | −0.0165180 | − | 0.00841633i | ||||
\(738\) | 4.60633 | − | 4.60633i | 0.169561 | − | 0.169561i | ||||
\(739\) | 23.5132 | 0.864946 | 0.432473 | − | 0.901647i | \(-0.357641\pi\) | ||||
0.432473 | + | 0.901647i | \(0.357641\pi\) | |||||||
\(740\) | 14.0991 | + | 2.28531i | 0.518292 | + | 0.0840095i | ||||
\(741\) | 6.03839 | − | 4.38715i | 0.221826 | − | 0.161166i | ||||
\(742\) | 10.6967 | − | 1.69419i | 0.392689 | − | 0.0621958i | ||||
\(743\) | 6.25185 | + | 6.25185i | 0.229358 | + | 0.229358i | 0.812425 | − | 0.583066i | \(-0.198147\pi\) |
−0.583066 | + | 0.812425i | \(0.698147\pi\) | |||||||
\(744\) | 5.20082 | − | 1.98783i | 0.190671 | − | 0.0728775i | ||||
\(745\) | −6.02021 | + | 1.93207i | −0.220563 | + | 0.0707856i | ||||
\(746\) | 10.1009 | + | 7.33874i | 0.369820 | + | 0.268690i | ||||
\(747\) | 0.0662227 | − | 0.418114i | 0.00242296 | − | 0.0152980i | ||||
\(748\) | −2.86668 | − | 1.46065i | −0.104816 | − | 0.0534066i | ||||
\(749\) | 27.5069i | 1.00508i | ||||||||
\(750\) | 6.66926 | − | 8.97335i | 0.243527 | − | 0.327660i | ||||
\(751\) | 8.85394 | + | 27.2496i | 0.323085 | + | 0.994353i | 0.972298 | + | 0.233746i | \(0.0750984\pi\) |
−0.649213 | + | 0.760607i | \(0.724902\pi\) | |||||||
\(752\) | 10.8345 | − | 5.52044i | 0.395093 | − | 0.201310i | ||||
\(753\) | 4.84757 | + | 9.51389i | 0.176655 | + | 0.346705i | ||||
\(754\) | 11.3777 | − | 15.6601i | 0.414353 | − | 0.570308i | ||||
\(755\) | 14.7150 | + | 20.4081i | 0.535535 | + | 0.742727i | ||||
\(756\) | −2.67064 | + | 3.67582i | −0.0971303 | + | 0.133688i | ||||
\(757\) | 1.14840 | − | 7.25072i | 0.0417393 | − | 0.263532i | −0.957990 | − | 0.286802i | \(-0.907408\pi\) |
0.999729 | + | 0.0232702i | \(0.00740782\pi\) | |||||||
\(758\) | −5.26587 | − | 10.3348i | −0.191265 | − | 0.375379i | ||||
\(759\) | 4.58028 | − | 3.32777i | 0.166254 | − | 0.120790i | ||||
\(760\) | −1.08077 | − | 6.98694i | −0.0392036 | − | 0.253443i | ||||
\(761\) | −23.1379 | − | 7.51797i | −0.838750 | − | 0.272526i | −0.142023 | − | 0.989863i | \(-0.545361\pi\) |
−0.696726 | + | 0.717337i | \(0.745361\pi\) | |||||||
\(762\) | 2.49251 | + | 0.394775i | 0.0902942 | + | 0.0143012i | ||||
\(763\) | −45.6276 | + | 7.22671i | −1.65183 | + | 0.261624i | ||||
\(764\) | 22.0045 | − | 7.14971i | 0.796097 | − | 0.258667i | ||||
\(765\) | −10.4318 | + | 5.26790i | −0.377163 | + | 0.190461i | ||||
\(766\) | −12.6072 | − | 4.09633i | −0.455517 | − | 0.148006i | ||||
\(767\) | −7.23309 | − | 14.1957i | −0.261172 | − | 0.512579i | ||||
\(768\) | −0.453990 | + | 0.891007i | −0.0163820 | + | 0.0321514i | ||||
\(769\) | 32.4223i | 1.16918i | 0.811329 | + | 0.584589i | \(0.198744\pi\) | ||||
−0.811329 | + | 0.584589i | \(0.801256\pi\) | |||||||
\(770\) | −1.91121 | − | 5.95519i | −0.0688751 | − | 0.214610i | ||||
\(771\) | −25.0280 | + | 8.13208i | −0.901360 | + | 0.292870i | ||||
\(772\) | 10.6461 | + | 1.68618i | 0.383162 | + | 0.0606868i | ||||
\(773\) | 3.97801 | + | 25.1162i | 0.143079 | + | 0.903365i | 0.949896 | + | 0.312565i | \(0.101188\pi\) |
−0.806817 | + | 0.590801i | \(0.798812\pi\) | |||||||
\(774\) | 6.98484 | 0.251065 | ||||||||
\(775\) | 17.3315 | + | 21.7858i | 0.622565 | + | 0.782568i | ||||
\(776\) | 11.1631 | 0.400733 | ||||||||
\(777\) | −4.54011 | − | 28.6651i | −0.162876 | − | 1.02836i | ||||
\(778\) | −17.4371 | − | 2.76177i | −0.625151 | − | 0.0990141i | ||||
\(779\) | 19.5890 | − | 6.36486i | 0.701850 | − | 0.228045i | ||||
\(780\) | −1.61301 | − | 5.02603i | −0.0577549 | − | 0.179961i | ||||
\(781\) | − | 3.04918i | − | 0.109108i | ||||||
\(782\) | 21.8212 | − | 42.8266i | 0.780325 | − | 1.53147i | ||||
\(783\) | 3.72269 | + | 7.30620i | 0.133038 | + | 0.261102i | ||||
\(784\) | −12.9762 | − | 4.21623i | −0.463437 | − | 0.150580i | ||||
\(785\) | 17.1525 | − | 8.66176i | 0.612200 | − | 0.309151i | ||||
\(786\) | −15.5591 | + | 5.05545i | −0.554974 | + | 0.180322i | ||||
\(787\) | −27.6049 | + | 4.37218i | −0.984007 | + | 0.155851i | −0.627648 | − | 0.778498i | \(-0.715982\pi\) |
−0.356359 | + | 0.934349i | \(0.615982\pi\) | |||||||
\(788\) | 20.7838 | + | 3.29183i | 0.740392 | + | 0.117267i | ||||
\(789\) | −8.23444 | − | 2.67553i | −0.293154 | − | 0.0952515i | ||||
\(790\) | −0.472725 | − | 3.05607i | −0.0168188 | − | 0.108730i | ||||
\(791\) | −49.9631 | + | 36.3003i | −1.77648 | + | 1.29069i | ||||
\(792\) | 0.279478 | + | 0.548506i | 0.00993081 | + | 0.0194903i | ||||
\(793\) | 3.19377 | − | 20.1647i | 0.113414 | − | 0.716069i | ||||
\(794\) | 1.58771 | − | 2.18529i | 0.0563456 | − | 0.0775531i | ||||
\(795\) | −3.11724 | − | 4.32326i | −0.110557 | − | 0.153330i | ||||
\(796\) | −7.49157 | + | 10.3113i | −0.265532 | + | 0.365473i | ||||
\(797\) | 8.01232 | + | 15.7251i | 0.283811 | + | 0.557010i | 0.988267 | − | 0.152737i | \(-0.0488089\pi\) |
−0.704456 | + | 0.709748i | \(0.748809\pi\) | |||||||
\(798\) | −12.8001 | + | 6.52199i | −0.453120 | + | 0.230876i | ||||
\(799\) | −19.6385 | − | 60.4410i | −0.694759 | − | 2.13825i | ||||
\(800\) | −4.93266 | − | 0.817827i | −0.174396 | − | 0.0289145i | ||||
\(801\) | 9.79001i | 0.345913i | ||||||||
\(802\) | −15.6992 | − | 7.99912i | −0.554357 | − | 0.282459i | ||||
\(803\) | −0.503311 | + | 3.17778i | −0.0177615 | + | 0.112142i | ||||
\(804\) | 0.661404 | + | 0.480538i | 0.0233259 | + | 0.0169473i | ||||
\(805\) | 88.9671 | − | 28.5523i | 3.13568 | − | 1.00634i | ||||
\(806\) | 13.1264 | − | 0.669002i | 0.462356 | − | 0.0235646i | ||||
\(807\) | −3.71628 | − | 3.71628i | −0.130819 | − | 0.130819i | ||||
\(808\) | −7.58760 | + | 1.20176i | −0.266931 | + | 0.0422777i | ||||
\(809\) | −18.5745 | + | 13.4952i | −0.653046 | + | 0.474466i | −0.864308 | − | 0.502964i | \(-0.832243\pi\) |
0.211261 | + | 0.977430i | \(0.432243\pi\) | |||||||
\(810\) | 2.20726 | + | 0.357773i | 0.0775552 | + | 0.0125709i | ||||
\(811\) | −5.79832 | −0.203606 | −0.101803 | − | 0.994805i | \(-0.532461\pi\) | ||||
−0.101803 | + | 0.994805i | \(0.532461\pi\) | |||||||
\(812\) | −26.3447 | + | 26.3447i | −0.924517 | + | 0.924517i | ||||
\(813\) | 11.7681 | + | 5.99616i | 0.412726 | + | 0.210295i | ||||
\(814\) | −3.73976 | − | 1.21512i | −0.131079 | − | 0.0425900i | ||||
\(815\) | 13.5334 | − | 13.4360i | 0.474054 | − | 0.470642i | ||||
\(816\) | 4.22820 | + | 3.07197i | 0.148017 | + | 0.107540i | ||||
\(817\) | 19.6777 | + | 10.0263i | 0.688435 | + | 0.350775i | ||||
\(818\) | 4.93725 | + | 31.1726i | 0.172627 | + | 1.08992i | ||||
\(819\) | −8.67724 | + | 6.30438i | −0.303207 | + | 0.220293i | ||||
\(820\) | 0.0526140 | − | 14.5664i | 0.00183736 | − | 0.508681i | ||||
\(821\) | 15.5455 | + | 21.3965i | 0.542542 | + | 0.746744i | 0.988977 | − | 0.148072i | \(-0.0473066\pi\) |
−0.446435 | + | 0.894816i | \(0.647307\pi\) | |||||||
\(822\) | −16.1677 | − | 2.56071i | −0.563912 | − | 0.0893149i | ||||
\(823\) | 7.06233 | − | 3.59844i | 0.246177 | − | 0.125434i | −0.326549 | − | 0.945180i | \(-0.605886\pi\) |
0.572726 | + | 0.819747i | \(0.305886\pi\) | |||||||
\(824\) | 8.82133 | + | 12.1415i | 0.307306 | + | 0.422970i | ||||
\(825\) | −2.19215 | + | 2.16071i | −0.0763209 | + | 0.0752261i | ||||
\(826\) | 9.47610 | + | 29.1645i | 0.329716 | + | 1.01476i | ||||
\(827\) | −3.24037 | + | 0.513224i | −0.112679 | + | 0.0178466i | −0.212519 | − | 0.977157i | \(-0.568167\pi\) |
0.0998404 | + | 0.995003i | \(0.468167\pi\) | |||||||
\(828\) | −8.19436 | + | 4.17524i | −0.284774 | + | 0.145099i | ||||
\(829\) | 0.495634 | − | 1.52540i | 0.0172141 | − | 0.0529794i | −0.942081 | − | 0.335387i | \(-0.891133\pi\) |
0.959295 | + | 0.282407i | \(0.0911330\pi\) | |||||||
\(830\) | −0.553619 | − | 0.767808i | −0.0192164 | − | 0.0266510i | ||||
\(831\) | −14.9190 | −0.517535 | ||||||||
\(832\) | −1.66921 | + | 1.66921i | −0.0578696 | + | 0.0578696i | ||||
\(833\) | −32.3733 | + | 63.5362i | −1.12167 | + | 2.20140i | ||||
\(834\) | −8.60162 | − | 11.8391i | −0.297850 | − | 0.409955i | ||||
\(835\) | 23.4499 | + | 46.4369i | 0.811518 | + | 1.60702i | ||||
\(836\) | 1.94642i | 0.0673184i | ||||||||
\(837\) | −2.27192 | + | 5.08314i | −0.0785292 | + | 0.175699i | ||||
\(838\) | 13.4556 | − | 13.4556i | 0.464816 | − | 0.464816i | ||||
\(839\) | 11.7886 | − | 16.2256i | 0.406987 | − | 0.560169i | −0.555493 | − | 0.831521i | \(-0.687471\pi\) |
0.962480 | + | 0.271352i | \(0.0874706\pi\) | |||||||
\(840\) | 1.55308 | + | 10.0403i | 0.0535862 | + | 0.346424i | ||||
\(841\) | 11.8165 | + | 36.3675i | 0.407466 | + | 1.25405i | ||||
\(842\) | −6.48118 | − | 6.48118i | −0.223356 | − | 0.223356i | ||||
\(843\) | −2.96236 | − | 2.96236i | −0.102029 | − | 0.102029i | ||||
\(844\) | −11.7552 | + | 3.81949i | −0.404630 | + | 0.131472i | ||||
\(845\) | −0.0599890 | + | 16.6082i | −0.00206368 | + | 0.571339i | ||||
\(846\) | −3.75759 | + | 11.5647i | −0.129189 | + | 0.397602i | ||||
\(847\) | −7.54912 | − | 47.6633i | −0.259391 | − | 1.63773i | ||||
\(848\) | −1.08213 | + | 2.12380i | −0.0371606 | + | 0.0729317i | ||||
\(849\) | 5.63548 | + | 4.09442i | 0.193409 | + | 0.140520i | ||||
\(850\) | −8.25447 | + | 24.7938i | −0.283126 | + | 0.850419i | ||||
\(851\) | 18.1532 | − | 55.8698i | 0.622284 | − | 1.91519i | ||||
\(852\) | −0.774845 | + | 4.89218i | −0.0265458 | + | 0.167603i | ||||
\(853\) | −4.15917 | + | 26.2600i | −0.142407 | + | 0.899125i | 0.808240 | + | 0.588853i | \(0.200420\pi\) |
−0.950648 | + | 0.310272i | \(0.899580\pi\) | |||||||
\(854\) | −12.1429 | + | 37.3722i | −0.415523 | + | 1.27885i | ||||
\(855\) | 5.70473 | + | 4.17630i | 0.195098 | + | 0.142826i | ||||
\(856\) | −4.89781 | − | 3.55847i | −0.167404 | − | 0.121626i | ||||
\(857\) | 6.89430 | − | 13.5308i | 0.235505 | − | 0.462204i | −0.742762 | − | 0.669556i | \(-0.766484\pi\) |
0.978266 | + | 0.207352i | \(0.0664845\pi\) | |||||||
\(858\) | 0.227332 | + | 1.43532i | 0.00776097 | + | 0.0490009i | ||||
\(859\) | −6.18371 | + | 19.0315i | −0.210985 | + | 0.649347i | 0.788429 | + | 0.615126i | \(0.210895\pi\) |
−0.999414 | + | 0.0342205i | \(0.989105\pi\) | |||||||
\(860\) | 11.0838 | − | 11.0040i | 0.377955 | − | 0.375234i | ||||
\(861\) | −28.1497 | + | 9.14638i | −0.959338 | + | 0.311708i | ||||
\(862\) | −3.67852 | − | 3.67852i | −0.125291 | − | 0.125291i | ||||
\(863\) | 18.0792 | + | 18.0792i | 0.615423 | + | 0.615423i | 0.944354 | − | 0.328931i | \(-0.106688\pi\) |
−0.328931 | + | 0.944354i | \(0.606688\pi\) | |||||||
\(864\) | −0.309017 | − | 0.951057i | −0.0105130 | − | 0.0323556i | ||||
\(865\) | −16.5057 | + | 2.55317i | −0.561211 | + | 0.0868103i | ||||
\(866\) | 21.1428 | − | 29.1006i | 0.718461 | − | 0.988877i | ||||
\(867\) | 7.29358 | − | 7.29358i | 0.247703 | − | 0.247703i | ||||
\(868\) | −25.1551 | − | 2.68048i | −0.853820 | − | 0.0909814i | ||||
\(869\) | 0.851360i | 0.0288804i | ||||||||
\(870\) | 17.4176 | + | 5.72897i | 0.590513 | + | 0.194230i | ||||
\(871\) | 1.13437 | + | 1.56133i | 0.0384366 | + | 0.0529035i | ||||
\(872\) | 4.61591 | − | 9.05924i | 0.156315 | − | 0.306785i | ||||
\(873\) | −7.89352 | + | 7.89352i | −0.267155 | + | 0.267155i | ||||
\(874\) | −29.0784 | −0.983592 | ||||||||
\(875\) | −45.5092 | + | 22.5703i | −1.53849 | + | 0.763015i | ||||
\(876\) | 1.61505 | − | 4.97061i | 0.0545675 | − | 0.167941i | ||||
\(877\) | 4.62551 | − | 2.35681i | 0.156192 | − | 0.0795840i | −0.374147 | − | 0.927369i | \(-0.622064\pi\) |
0.530339 | + | 0.847785i | \(0.322064\pi\) | |||||||
\(878\) | 26.9600 | − | 4.27004i | 0.909855 | − | 0.144107i | ||||
\(879\) | 8.75487 | + | 26.9447i | 0.295294 | + | 0.908822i | ||||
\(880\) | 1.30761 | + | 0.430097i | 0.0440796 | + | 0.0144986i | ||||
\(881\) | −8.58606 | − | 11.8177i | −0.289272 | − | 0.398149i | 0.639506 | − | 0.768786i | \(-0.279139\pi\) |
−0.928777 | + | 0.370638i | \(0.879139\pi\) | |||||||
\(882\) | 12.1569 | − | 6.19425i | 0.409344 | − | 0.208571i | ||||
\(883\) | −24.2021 | − | 3.83324i | −0.814466 | − | 0.128999i | −0.264714 | − | 0.964327i | \(-0.585278\pi\) |
−0.549751 | + | 0.835328i | \(0.685278\pi\) | |||||||
\(884\) | 7.25176 | + | 9.98119i | 0.243903 | + | 0.335704i | ||||
\(885\) | 10.7099 | − | 10.6328i | 0.360008 | − | 0.357416i | ||||
\(886\) | 12.1350 | − | 8.81662i | 0.407684 | − | 0.296200i | ||||
\(887\) | −5.17981 | − | 32.7041i | −0.173921 | − | 1.09809i | −0.907981 | − | 0.419010i | \(-0.862377\pi\) |
0.734060 | − | 0.679084i | \(-0.237623\pi\) | |||||||
\(888\) | 5.69138 | + | 2.89990i | 0.190990 | + | 0.0973144i | ||||
\(889\) | −9.27624 | − | 6.73958i | −0.311115 | − | 0.226038i | ||||
\(890\) | 15.4233 | + | 15.5352i | 0.516992 | + | 0.520740i | ||||
\(891\) | −0.585473 | − | 0.190232i | −0.0196141 | − | 0.00637300i | ||||
\(892\) | 2.43682 | + | 1.24162i | 0.0815907 | + | 0.0415726i | ||||
\(893\) | −27.1862 | + | 27.1862i | −0.909752 | + | 0.909752i | ||||
\(894\) | −2.82757 | −0.0945681 | ||||||||
\(895\) | 17.5730 | − | 12.6708i | 0.587400 | − | 0.423538i | ||||
\(896\) | 3.67582 | − | 2.67064i | 0.122801 | − | 0.0892199i | ||||
\(897\) | −21.4428 | + | 3.39620i | −0.715953 | + | 0.113396i | ||||
\(898\) | 28.0939 | + | 28.0939i | 0.937504 | + | 0.937504i | ||||
\(899\) | −24.9207 | + | 38.2540i | −0.831152 | + | 1.27584i | ||||
\(900\) | 4.06621 | − | 2.90963i | 0.135540 | − | 0.0969876i | ||||
\(901\) | 10.0783 | + | 7.32234i | 0.335758 | + | 0.243943i | ||||
\(902\) | −0.627340 | + | 3.96087i | −0.0208881 | + | 0.131883i | ||||
\(903\) | −28.2771 | − | 14.4079i | −0.941002 | − | 0.479464i | ||||
\(904\) | − | 13.5923i | − | 0.452075i | ||||||
\(905\) | −23.6018 | + | 7.57455i | −0.784551 | + | 0.251787i | ||||
\(906\) | 3.47702 | + | 10.7012i | 0.115516 | + | 0.355522i | ||||
\(907\) | 9.62501 | − | 4.90419i | 0.319593 | − | 0.162841i | −0.286833 | − | 0.957981i | \(-0.592602\pi\) |
0.606426 | + | 0.795140i | \(0.292602\pi\) | |||||||
\(908\) | −3.26724 | − | 6.41233i | −0.108427 | − | 0.212801i | ||||
\(909\) | 4.51547 | − | 6.21502i | 0.149769 | − | 0.206139i | ||||
\(910\) | −3.83735 | + | 23.6743i | −0.127207 | + | 0.784796i | ||||
\(911\) | 3.23482 | − | 4.45235i | 0.107175 | − | 0.147513i | −0.752061 | − | 0.659094i | \(-0.770940\pi\) |
0.859235 | + | 0.511581i | \(0.170940\pi\) | |||||||
\(912\) | 0.494617 | − | 3.12289i | 0.0163784 | − | 0.103409i | ||||
\(913\) | 0.118310 | + | 0.232197i | 0.00391550 | + | 0.00768459i | ||||
\(914\) | −13.2348 | + | 9.61561i | −0.437767 | + | 0.318056i | ||||
\(915\) | 19.1115 | − | 2.95625i | 0.631807 | − | 0.0977304i | ||||
\(916\) | 21.4206 | + | 6.95997i | 0.707756 | + | 0.229964i | ||||
\(917\) | 73.4167 | + | 11.6281i | 2.42443 | + | 0.383992i | ||||
\(918\) | −5.16200 | + | 0.817580i | −0.170371 | + | 0.0269842i | ||||
\(919\) | 17.1236 | − | 5.56380i | 0.564856 | − | 0.183533i | −0.0126490 | − | 0.999920i | \(-0.504026\pi\) |
0.577505 | + | 0.816387i | \(0.304026\pi\) | |||||||
\(920\) | −6.42540 | + | 19.5350i | −0.211839 | + | 0.644049i | ||||
\(921\) | −28.8119 | − | 9.36156i | −0.949385 | − | 0.308474i | ||||
\(922\) | 0.177092 | + | 0.347562i | 0.00583220 | + | 0.0114463i | ||||
\(923\) | −5.30831 | + | 10.4181i | −0.174725 | + | 0.342917i | ||||
\(924\) | − | 2.79703i | − | 0.0920157i | ||||||
\(925\) | −5.22394 | + | 31.5078i | −0.171762 | + | 1.03597i | ||||
\(926\) | −25.0453 | + | 8.13773i | −0.823041 | + | 0.267422i | ||||
\(927\) | −14.8230 | − | 2.34773i | −0.486850 | − | 0.0771095i | ||||
\(928\) | −1.28275 | − | 8.09898i | −0.0421084 | − | 0.265862i | ||||
\(929\) | −3.06516 | −0.100565 | −0.0502823 | − | 0.998735i | \(-0.516012\pi\) | ||||
−0.0502823 | + | 0.998735i | \(0.516012\pi\) | |||||||
\(930\) | 4.40290 | + | 11.6454i | 0.144377 | + | 0.381867i | ||||
\(931\) | 43.1399 | 1.41385 | ||||||||
\(932\) | −0.390854 | − | 2.46776i | −0.0128029 | − | 0.0808341i | ||||
\(933\) | −24.9859 | − | 3.95738i | −0.818001 | − | 0.129559i | ||||
\(934\) | 1.40273 | − | 0.455773i | 0.0458986 | − | 0.0149134i | ||||
\(935\) | 3.28924 | − | 6.39826i | 0.107570 | − | 0.209245i | ||||
\(936\) | − | 2.36062i | − | 0.0771594i | ||||||
\(937\) | −9.12249 | + | 17.9039i | −0.298019 | + | 0.584895i | −0.990655 | − | 0.136392i | \(-0.956449\pi\) |
0.692636 | + | 0.721287i | \(0.256449\pi\) | |||||||
\(938\) | −1.68637 | − | 3.30969i | −0.0550619 | − | 0.108065i | ||||
\(939\) | −10.2214 | − | 3.32114i | −0.333564 | − | 0.108381i | ||||
\(940\) | 12.2565 | + | 24.2711i | 0.399763 | + | 0.791635i | ||||
\(941\) | −6.78605 | + | 2.20492i | −0.221219 | + | 0.0718784i | −0.417529 | − | 0.908663i | \(-0.637104\pi\) |
0.196311 | + | 0.980542i | \(0.437104\pi\) | |||||||
\(942\) | 8.48763 | − | 1.34431i | 0.276542 | − | 0.0438000i | ||||
\(943\) | −59.1731 | − | 9.37209i | −1.92694 | − | 0.305197i | ||||
\(944\) | −6.41884 | − | 2.08561i | −0.208916 | − | 0.0678808i | ||||
\(945\) | −8.19777 | − | 6.00139i | −0.266673 | − | 0.195225i | ||||
\(946\) | −3.47868 | + | 2.52741i | −0.113102 | + | 0.0821732i | ||||
\(947\) | 1.70822 | + | 3.35258i | 0.0555098 | + | 0.108944i | 0.917095 | − | 0.398669i | \(-0.130528\pi\) |
−0.861585 | + | 0.507613i | \(0.830528\pi\) | |||||||
\(948\) | 0.216344 | − | 1.36594i | 0.00702653 | − | 0.0443637i | ||||
\(949\) | 7.25186 | − | 9.98132i | 0.235405 | − | 0.324007i | ||||
\(950\) | 15.6319 | − | 2.36022i | 0.507166 | − | 0.0765757i | ||||
\(951\) | 8.03927 | − | 11.0651i | 0.260691 | − | 0.358811i | ||||
\(952\) | −10.7806 | − | 21.1581i | −0.349400 | − | 0.685737i | ||||
\(953\) | −8.94888 | + | 4.55968i | −0.289883 | + | 0.147703i | −0.592885 | − | 0.805287i | \(-0.702011\pi\) |
0.303002 | + | 0.952990i | \(0.402011\pi\) | |||||||
\(954\) | −0.736573 | − | 2.26694i | −0.0238474 | − | 0.0733948i | ||||
\(955\) | 15.8094 | + | 49.2611i | 0.511581 | + | 1.59405i | ||||
\(956\) | − | 11.6633i | − | 0.377219i | ||||||
\(957\) | −4.49772 | − | 2.29170i | −0.145391 | − | 0.0740802i | ||||
\(958\) | −6.59114 | + | 41.6148i | −0.212950 | + | 1.34451i | ||||
\(959\) | 60.1703 | + | 43.7163i | 1.94300 | + | 1.41167i | ||||
\(960\) | −1.98867 | − | 1.02234i | −0.0641841 | − | 0.0329960i | ||||
\(961\) | −30.8394 | + | 3.15172i | −0.994818 | + | 0.101668i | ||||
\(962\) | 10.6622 | + | 10.6622i | 0.343765 | + | 0.343765i | ||||
\(963\) | 5.97949 | − | 0.947059i | 0.192686 | − | 0.0305185i | ||||
\(964\) | 5.14500 | − | 3.73806i | 0.165709 | − | 0.120395i | ||||
\(965\) | −3.85637 | + | 23.7916i | −0.124141 | + | 0.765880i | ||||
\(966\) | 41.7861 | 1.34444 | ||||||||
\(967\) | −40.3994 | + | 40.3994i | −1.29916 | + | 1.29916i | −0.370207 | + | 0.928949i | \(0.620713\pi\) |
−0.928949 | + | 0.370207i | \(0.879287\pi\) | |||||||
\(968\) | 9.46341 | + | 4.82185i | 0.304166 | + | 0.154980i | ||||
\(969\) | −15.7160 | − | 5.10643i | −0.504869 | − | 0.164042i | ||||
\(970\) | −0.0901607 | + | 24.9613i | −0.00289488 | + | 0.801460i | ||||
\(971\) | −9.20893 | − | 6.69068i | −0.295529 | − | 0.214714i | 0.430133 | − | 0.902765i | \(-0.358466\pi\) |
−0.725662 | + | 0.688051i | \(0.758466\pi\) | |||||||
\(972\) | 0.891007 | + | 0.453990i | 0.0285790 | + | 0.0145618i | ||||
\(973\) | 10.4014 | + | 65.6718i | 0.333453 | + | 2.10534i | ||||
\(974\) | −17.8942 | + | 13.0009i | −0.573368 | + | 0.416576i | ||||
\(975\) | 11.2515 | − | 3.56618i | 0.360336 | − | 0.114209i | ||||
\(976\) | −5.08351 | − | 6.99685i | −0.162719 | − | 0.223964i | ||||
\(977\) | 51.0422 | + | 8.08429i | 1.63298 | + | 0.258639i | 0.904516 | − | 0.426440i | \(-0.140232\pi\) |
0.728469 | + | 0.685079i | \(0.240232\pi\) | |||||||
\(978\) | 7.59896 | − | 3.87187i | 0.242988 | − | 0.123809i | ||||
\(979\) | −3.54244 | − | 4.87575i | −0.113217 | − | 0.155830i | ||||
\(980\) | 9.53253 | − | 28.9815i | 0.304505 | − | 0.925780i | ||||
\(981\) | 3.14191 | + | 9.66979i | 0.100313 | + | 0.308733i | ||||
\(982\) | 15.9926 | − | 2.53299i | 0.510346 | − | 0.0808309i | ||||
\(983\) | 29.2998 | − | 14.9290i | 0.934520 | − | 0.476162i | 0.0807047 | − | 0.996738i | \(-0.474283\pi\) |
0.853815 | + | 0.520576i | \(0.174283\pi\) | |||||||
\(984\) | 2.01304 | − | 6.19550i | 0.0641734 | − | 0.197505i | ||||
\(985\) | −7.52857 | + | 46.4471i | −0.239880 | + | 1.47993i | ||||
\(986\) | −42.8557 | −1.36480 | ||||||||
\(987\) | 39.0669 | − | 39.0669i | 1.24351 | − | 1.24351i | ||||
\(988\) | 3.38852 | − | 6.65035i | 0.107803 | − | 0.211576i | ||||
\(989\) | −37.7580 | − | 51.9695i | −1.20064 | − | 1.65253i | ||||
\(990\) | −1.22875 | + | 0.620497i | −0.0390521 | + | 0.0197207i | ||||
\(991\) | 2.83097i | 0.0899288i | 0.998989 | + | 0.0449644i | \(0.0143174\pi\) | ||||
−0.998989 | + | 0.0449644i | \(0.985683\pi\) | |||||||
\(992\) | 3.73151 | − | 4.13229i | 0.118475 | − | 0.131200i | ||||
\(993\) | 8.12363 | − | 8.12363i | 0.257796 | − | 0.257796i | ||||
\(994\) | 13.2281 | − | 18.2070i | 0.419571 | − | 0.577489i | ||||
\(995\) | −22.9960 | − | 16.8348i | −0.729023 | − | 0.533700i | ||||
\(996\) | −0.130815 | − | 0.402607i | −0.00414503 | − | 0.0127571i | ||||
\(997\) | 7.50870 | + | 7.50870i | 0.237803 | + | 0.237803i | 0.815940 | − | 0.578137i | \(-0.196220\pi\) |
−0.578137 | + | 0.815940i | \(0.696220\pi\) | |||||||
\(998\) | 8.09877 | + | 8.09877i | 0.256362 | + | 0.256362i | ||||
\(999\) | −6.07496 | + | 1.97387i | −0.192203 | + | 0.0624506i |
(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.bj.a.277.12 | ✓ | 128 | |
5.3 | odd | 4 | 930.2.bj.b.463.12 | yes | 128 | ||
31.15 | odd | 10 | 930.2.bj.b.697.12 | yes | 128 | ||
155.108 | even | 20 | inner | 930.2.bj.a.883.12 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bj.a.277.12 | ✓ | 128 | 1.1 | even | 1 | trivial | |
930.2.bj.a.883.12 | yes | 128 | 155.108 | even | 20 | inner | |
930.2.bj.b.463.12 | yes | 128 | 5.3 | odd | 4 | ||
930.2.bj.b.697.12 | yes | 128 | 31.15 | odd | 10 |