Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(47,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.bi (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: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 303.2 | ||
Character | \(\chi\) | \(=\) | 400.303 |
Dual form | 400.2.bi.d.367.2 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{20}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.49574 | + | 0.395286i | −1.44092 | + | 0.228219i | −0.827467 | − | 0.561515i | \(-0.810219\pi\) |
−0.613450 | + | 0.789734i | \(0.710219\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.616106 | + | 2.14951i | −0.275531 | + | 0.961292i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.08050 | − | 1.08050i | −0.408391 | − | 0.408391i | 0.472786 | − | 0.881177i | \(-0.343248\pi\) |
−0.881177 | + | 0.472786i | \(0.843248\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 3.21930 | − | 1.04601i | 1.07310 | − | 0.348671i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.665530 | − | 0.216244i | −0.200665 | − | 0.0652000i | 0.206960 | − | 0.978349i | \(-0.433643\pi\) |
−0.407625 | + | 0.913149i | \(0.633643\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.606168 | + | 1.18967i | −0.168121 | + | 0.329955i | −0.959660 | − | 0.281163i | \(-0.909280\pi\) |
0.791539 | + | 0.611118i | \(0.209280\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.687965 | − | 5.60817i | 0.177632 | − | 1.44802i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.880206 | − | 5.55740i | 0.213481 | − | 1.34787i | −0.615299 | − | 0.788294i | \(-0.710965\pi\) |
0.828780 | − | 0.559574i | \(-0.189035\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.31160 | − | 0.952937i | 0.300903 | − | 0.218619i | −0.427080 | − | 0.904214i | \(-0.640458\pi\) |
0.727983 | + | 0.685595i | \(0.240458\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.12376 | + | 2.26954i | 0.681660 | + | 0.495255i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.79350 | − | 7.44517i | −0.791000 | − | 1.55243i | −0.832978 | − | 0.553307i | \(-0.813366\pi\) |
0.0419773 | − | 0.999119i | \(-0.486634\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.24083 | − | 2.64866i | −0.848166 | − | 0.529731i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.866739 | + | 0.441626i | −0.166804 | + | 0.0849909i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.72188 | − | 6.49912i | 0.876832 | − | 1.20686i | −0.100456 | − | 0.994941i | \(-0.532030\pi\) |
0.977288 | − | 0.211914i | \(-0.0679698\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.81093 | + | 3.86891i | 0.504858 | + | 0.694878i | 0.983042 | − | 0.183382i | \(-0.0587046\pi\) |
−0.478184 | + | 0.878260i | \(0.658705\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.74647 | + | 0.276613i | 0.304021 | + | 0.0481522i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.98826 | − | 1.65685i | 0.505107 | − | 0.280059i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −9.91663 | − | 5.05278i | −1.63028 | − | 0.830672i | −0.998455 | − | 0.0555642i | \(-0.982304\pi\) |
−0.631830 | − | 0.775107i | \(-0.717696\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.04258 | − | 3.20872i | 0.166946 | − | 0.513807i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.0489618 | − | 0.150689i | −0.00764656 | − | 0.0235337i | 0.947160 | − | 0.320760i | \(-0.103938\pi\) |
−0.954807 | + | 0.297227i | \(0.903938\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.11533 | + | 5.11533i | −0.780080 | + | 0.780080i | −0.979844 | − | 0.199764i | \(-0.935983\pi\) |
0.199764 | + | 0.979844i | \(0.435983\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.264994 | + | 7.56439i | 0.0395030 | + | 1.12763i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.04855 | + | 6.62028i | 0.152947 | + | 0.965667i | 0.938100 | + | 0.346366i | \(0.112584\pi\) |
−0.785153 | + | 0.619302i | \(0.787416\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 4.66503i | − | 0.666434i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 14.2178i | 1.99089i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.570597 | + | 3.60261i | 0.0783775 | + | 0.494856i | 0.995383 | + | 0.0959818i | \(0.0305991\pi\) |
−0.917006 | + | 0.398874i | \(0.869401\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.874856 | − | 1.29734i | 0.117966 | − | 0.174933i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.89674 | + | 2.89674i | −0.383683 | + | 0.383683i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.70323 | − | 14.4751i | −0.612308 | − | 1.88449i | −0.435312 | − | 0.900280i | \(-0.643362\pi\) |
−0.176996 | − | 0.984211i | \(-0.556638\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.50953 | + | 7.72352i | −0.321312 | + | 0.988896i | 0.651766 | + | 0.758420i | \(0.274028\pi\) |
−0.973078 | + | 0.230476i | \(0.925972\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.60867 | − | 2.34824i | −0.580638 | − | 0.295850i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.18375 | − | 2.03593i | −0.270861 | − | 0.252526i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.12258 | + | 0.969721i | 0.747992 | + | 0.118470i | 0.518782 | − | 0.854907i | \(-0.326386\pi\) |
0.229210 | + | 0.973377i | \(0.426386\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 12.4106 | + | 17.0817i | 1.49406 | + | 2.05639i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.603305 | − | 0.830378i | 0.0715991 | − | 0.0985477i | −0.771716 | − | 0.635968i | \(-0.780601\pi\) |
0.843315 | + | 0.537420i | \(0.180601\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.39246 | − | 2.23807i | 0.514098 | − | 0.261946i | −0.177639 | − | 0.984096i | \(-0.556846\pi\) |
0.691737 | + | 0.722150i | \(0.256846\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 11.6310 | + | 4.93402i | 1.34303 | + | 0.569731i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.485454 | + | 0.952758i | 0.0553226 | + | 0.108577i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.82257 | + | 6.40997i | 0.992617 | + | 0.721178i | 0.960493 | − | 0.278305i | \(-0.0897727\pi\) |
0.0321244 | + | 0.999484i | \(0.489773\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.22691 | + | 4.52411i | −0.691879 | + | 0.502679i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.609010 | + | 3.84514i | −0.0668476 | + | 0.422059i | 0.931457 | + | 0.363852i | \(0.118538\pi\) |
−0.998305 | + | 0.0582073i | \(0.981462\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 11.4034 | + | 5.31596i | 1.23687 | + | 0.576597i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −9.21559 | + | 18.0866i | −0.988015 | + | 1.93909i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −8.25547 | − | 2.68237i | −0.875078 | − | 0.284330i | −0.163166 | − | 0.986599i | \(-0.552171\pi\) |
−0.711912 | + | 0.702268i | \(0.752171\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.94041 | − | 0.630476i | 0.203410 | − | 0.0660919i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −8.54468 | − | 8.54468i | −0.886042 | − | 0.886042i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.24026 | + | 3.40642i | 0.127248 | + | 0.349492i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.75883 | − | 0.595340i | 0.381651 | − | 0.0604476i | 0.0373386 | − | 0.999303i | \(-0.488112\pi\) |
0.344313 | + | 0.938855i | \(0.388112\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.36873 | −0.238067 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.96453 | −0.692996 | −0.346498 | − | 0.938051i | \(-0.612629\pi\) | ||||
−0.346498 | + | 0.938051i | \(0.612629\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.39178 | + | 0.220437i | −0.137136 | + | 0.0217203i | −0.224625 | − | 0.974445i | \(-0.572116\pi\) |
0.0874888 | + | 0.996165i | \(0.472116\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −6.80298 | + | 5.31629i | −0.663903 | + | 0.518816i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −10.0992 | − | 10.0992i | −0.976324 | − | 0.976324i | 0.0234025 | − | 0.999726i | \(-0.492550\pi\) |
−0.999726 | + | 0.0234025i | \(0.992550\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −18.4746 | + | 6.00276i | −1.76954 | + | 0.574960i | −0.998116 | − | 0.0613565i | \(-0.980457\pi\) |
−0.771428 | + | 0.636316i | \(0.780457\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 26.7466 | + | 8.69051i | 2.53868 | + | 0.824867i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.15358 | − | 14.0397i | 0.672952 | − | 1.32074i | −0.261689 | − | 0.965152i | \(-0.584280\pi\) |
0.934642 | − | 0.355591i | \(-0.115720\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 18.3407 | − | 3.56718i | 1.71028 | − | 0.332641i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.707023 | + | 4.46397i | −0.0653643 | + | 0.412694i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −6.95584 | + | 5.05372i | −0.637641 | + | 0.463273i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.50302 | − | 6.17780i | −0.773002 | − | 0.561619i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.181761 | + | 0.356727i | 0.0163889 | + | 0.0321650i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 8.30612 | − | 7.48387i | 0.742922 | − | 0.669378i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.1817 | + | 6.20688i | −1.08095 | + | 0.550772i | −0.901404 | − | 0.432978i | \(-0.857463\pi\) |
−0.179546 | + | 0.983750i | \(0.557463\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 10.7445 | − | 14.7886i | 0.946001 | − | 1.30206i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.87989 | − | 8.09298i | −0.513728 | − | 0.707087i | 0.470814 | − | 0.882232i | \(-0.343960\pi\) |
−0.984542 | + | 0.175146i | \(0.943960\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.44684 | − | 0.387541i | −0.212168 | − | 0.0336041i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.415278 | − | 2.13516i | −0.0357415 | − | 0.183765i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −9.50415 | − | 4.84261i | −0.811994 | − | 0.413732i | −0.00187601 | − | 0.999998i | \(-0.500597\pi\) |
−0.810118 | + | 0.586266i | \(0.800597\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.07838 | − | 18.7073i | 0.515562 | − | 1.58674i | −0.266696 | − | 0.963781i | \(-0.585932\pi\) |
0.782258 | − | 0.622955i | \(-0.214068\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.23382 | − | 16.1080i | −0.440767 | − | 1.35654i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.660682 | − | 0.660682i | 0.0552490 | − | 0.0552490i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.0608 | + | 14.1539i | 0.918547 | + | 1.17542i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.84402 | + | 11.6427i | 0.152093 | + | 0.960275i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 12.4064i | 1.01637i | 0.861247 | + | 0.508187i | \(0.169684\pi\) | ||||
−0.861247 | + | 0.508187i | \(0.830316\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 6.27163i | − | 0.510378i | −0.966891 | − | 0.255189i | \(-0.917862\pi\) | ||
0.966891 | − | 0.255189i | \(-0.0821377\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.97947 | − | 18.8116i | −0.240876 | − | 1.52083i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −10.0481 | + | 3.65848i | −0.807084 | + | 0.293856i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.56883 | − | 1.56883i | 0.125207 | − | 0.125207i | −0.641727 | − | 0.766933i | \(-0.721782\pi\) |
0.766933 | + | 0.641727i | \(0.221782\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.84812 | − | 8.76562i | −0.225871 | − | 0.695159i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.94563 | + | 12.1434i | −0.310959 | + | 0.957034i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.15366 | − | 0.587821i | −0.0903619 | − | 0.0460417i | 0.408226 | − | 0.912881i | \(-0.366148\pi\) |
−0.498587 | + | 0.866839i | \(0.666148\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.67059 | + | 3.58364i | −0.130056 | + | 0.278986i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 6.57784 | + | 1.04183i | 0.509009 | + | 0.0806191i | 0.405656 | − | 0.914026i | \(-0.367043\pi\) |
0.103353 | + | 0.994645i | \(0.467043\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.59333 | + | 9.07494i | 0.507179 | + | 0.698072i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.22566 | − | 4.43974i | 0.246673 | − | 0.339516i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.526699 | + | 0.268367i | −0.0400442 | + | 0.0204035i | −0.473898 | − | 0.880580i | \(-0.657153\pi\) |
0.433854 | + | 0.900983i | \(0.357153\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.72034 | + | 7.44410i | 0.130046 | + | 0.562721i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 17.4598 | + | 34.2668i | 1.31236 | + | 2.57565i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −12.2871 | − | 8.92709i | −0.918380 | − | 0.667242i | 0.0247405 | − | 0.999694i | \(-0.492124\pi\) |
−0.943120 | + | 0.332452i | \(0.892124\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.9315 | − | 7.94221i | 0.812533 | − | 0.590339i | −0.102031 | − | 0.994781i | \(-0.532534\pi\) |
0.914564 | + | 0.404442i | \(0.132534\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.21012 | − | 20.2679i | 0.237299 | − | 1.49825i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 16.9707 | − | 18.2029i | 1.24771 | − | 1.33830i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.78756 | + | 3.50828i | −0.130719 | + | 0.256551i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.41369 | + | 0.459336i | 0.102831 | + | 0.0334118i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.7837 | + | 4.15367i | −0.924994 | + | 0.300549i | −0.732514 | − | 0.680752i | \(-0.761653\pi\) |
−0.192480 | + | 0.981301i | \(0.561653\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.62984 | + | 6.62984i | 0.477227 | + | 0.477227i | 0.904244 | − | 0.427017i | \(-0.140436\pi\) |
−0.427017 | + | 0.904244i | \(0.640436\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 6.25486 | + | 4.21794i | 0.447919 | + | 0.302053i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 14.3776 | − | 2.27719i | 1.02436 | − | 0.162243i | 0.378424 | − | 0.925633i | \(-0.376466\pi\) |
0.645938 | + | 0.763390i | \(0.276466\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.958761 | −0.0679648 | −0.0339824 | − | 0.999422i | \(-0.510819\pi\) | ||||
−0.0339824 | + | 0.999422i | \(0.510819\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −15.6637 | −1.10483 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −12.1243 | + | 1.92030i | −0.850959 | + | 0.134779i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.354074 | − | 0.0124038i | 0.0247296 | − | 0.000866322i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −20.0002 | − | 20.0002i | −1.39011 | − | 1.39011i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.07898 | + | 0.350582i | −0.0746345 | + | 0.0242502i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.0232 | − | 3.58166i | −0.758869 | − | 0.246572i | −0.0960759 | − | 0.995374i | \(-0.530629\pi\) |
−0.662793 | + | 0.748802i | \(0.730629\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.17746 | + | 2.31089i | −0.0806779 | + | 0.158339i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −7.84389 | − | 14.1471i | −0.534949 | − | 0.964821i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.14315 | − | 7.21758i | 0.0776022 | − | 0.489961i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −10.0778 | + | 7.32191i | −0.680991 | + | 0.494769i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.07793 | + | 4.41587i | 0.408846 | + | 0.297044i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.13525 | + | 15.9663i | 0.544777 | + | 1.06918i | 0.985202 | + | 0.171396i | \(0.0548276\pi\) |
−0.440425 | + | 0.897789i | \(0.645172\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −16.4230 | − | 4.09085i | −1.09487 | − | 0.272723i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 12.4217 | − | 6.32920i | 0.824460 | − | 0.420084i | 0.00975061 | − | 0.999952i | \(-0.496896\pi\) |
0.814710 | + | 0.579869i | \(0.196896\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.55986 | − | 2.14696i | 0.103078 | − | 0.141875i | −0.754362 | − | 0.656459i | \(-0.772054\pi\) |
0.857440 | + | 0.514584i | \(0.172054\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.58818 | − | 2.18594i | −0.104495 | − | 0.143824i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 14.0180 | + | 2.22024i | 0.918351 | + | 0.145452i | 0.597677 | − | 0.801737i | \(-0.296091\pi\) |
0.320674 | + | 0.947190i | \(0.396091\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.8764 | − | 1.82492i | −0.970430 | − | 0.119045i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −24.5526 | − | 12.5102i | −1.59486 | − | 0.812624i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.61203 | − | 11.1167i | 0.233643 | − | 0.719078i | −0.763656 | − | 0.645623i | \(-0.776598\pi\) |
0.997299 | − | 0.0734545i | \(-0.0234024\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.70865 | + | 17.5694i | 0.367726 | + | 1.13175i | 0.948256 | + | 0.317506i | \(0.102845\pi\) |
−0.580530 | + | 0.814239i | \(0.697155\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.8160 | − | 15.8160i | 1.01460 | − | 1.01460i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 10.0276 | + | 2.87415i | 0.640637 | + | 0.183623i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.338629 | + | 2.13802i | 0.0215464 | + | 0.136039i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | − | 9.83720i | − | 0.623407i | ||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 21.2264i | 1.33980i | 0.742452 | + | 0.669900i | \(0.233663\pi\) | ||||
−0.742452 | + | 0.669900i | \(0.766337\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.914719 | + | 5.77531i | 0.0575079 | + | 0.363090i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −30.5613 | − | 8.75964i | −1.91382 | − | 0.548550i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.34040 | − | 1.34040i | 0.0836121 | − | 0.0836121i | −0.664064 | − | 0.747676i | \(-0.731170\pi\) |
0.747676 | + | 0.664064i | \(0.231170\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.25540 | + | 16.1745i | 0.326555 | + | 1.00503i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 8.40299 | − | 25.8618i | 0.520132 | − | 1.60080i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −12.6404 | − | 6.44061i | −0.779441 | − | 0.397145i | 0.0185397 | − | 0.999828i | \(-0.494098\pi\) |
−0.797981 | + | 0.602683i | \(0.794098\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.09541 | − | 0.993080i | −0.497297 | − | 0.0610044i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 21.6638 | + | 3.43121i | 1.32580 | + | 0.209987i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.34204 | − | 5.97631i | −0.264739 | − | 0.364382i | 0.655866 | − | 0.754877i | \(-0.272304\pi\) |
−0.920605 | + | 0.390496i | \(0.872304\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.6738 | − | 20.1968i | 0.891371 | − | 1.22687i | −0.0817692 | − | 0.996651i | \(-0.526057\pi\) |
0.973140 | − | 0.230215i | \(-0.0739430\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −4.59353 | + | 2.34052i | −0.278013 | + | 0.141655i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.24964 | + | 2.67981i | 0.135659 | + | 0.161599i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.52278 | − | 16.7269i | −0.512084 | − | 1.00502i | −0.991824 | − | 0.127611i | \(-0.959269\pi\) |
0.479740 | − | 0.877411i | \(-0.340731\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 13.0962 | + | 9.51492i | 0.784047 | + | 0.569643i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.766131 | + | 0.556627i | −0.0457035 | + | 0.0332056i | −0.610402 | − | 0.792091i | \(-0.708992\pi\) |
0.564699 | + | 0.825297i | \(0.308992\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.30567 | + | 27.1849i | −0.255945 | + | 1.61598i | 0.440080 | + | 0.897959i | \(0.354950\pi\) |
−0.696025 | + | 0.718017i | \(0.745050\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.44189 | − | 8.01129i | −0.263115 | − | 0.474548i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.109916 | + | 0.215723i | −0.00648816 | + | 0.0127337i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.9420 | − | 4.53003i | −0.820118 | − | 0.266472i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −9.14573 | + | 2.97163i | −0.536132 | + | 0.174200i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.5657 | + | 11.5657i | 0.675677 | + | 0.675677i | 0.959019 | − | 0.283342i | \(-0.0914431\pi\) |
−0.283342 | + | 0.959019i | \(0.591443\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 34.0120 | − | 1.19150i | 1.98026 | − | 0.0693719i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.672340 | − | 0.106488i | 0.0390131 | − | 0.00617907i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 11.1568 | 0.645215 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.0542 | 0.637156 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 17.3817 | − | 2.75298i | 0.998550 | − | 0.158155i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −15.0557 | − | 10.1528i | −0.862087 | − | 0.581346i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −16.2123 | − | 16.2123i | −0.925284 | − | 0.925284i | 0.0721127 | − | 0.997396i | \(-0.477026\pi\) |
−0.997396 | + | 0.0721127i | \(0.977026\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.38639 | − | 1.10031i | 0.192645 | − | 0.0625942i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.05745 | − | 0.993425i | −0.173372 | − | 0.0563320i | 0.221045 | − | 0.975264i | \(-0.429053\pi\) |
−0.394417 | + | 0.918932i | \(0.629053\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.38062 | + | 18.4105i | −0.530224 | + | 1.04062i | 0.458192 | + | 0.888853i | \(0.348497\pi\) |
−0.988416 | + | 0.151770i | \(0.951503\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 7.88700 | − | 8.45965i | 0.444382 | − | 0.476647i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.16618 | − | 7.36300i | 0.0654994 | − | 0.413547i | −0.933052 | − | 0.359742i | \(-0.882865\pi\) |
0.998551 | − | 0.0538056i | \(-0.0171351\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.54795 | + | 3.30428i | −0.254636 | + | 0.185004i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 29.1970 | + | 21.2128i | 1.62962 | + | 1.18399i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.14137 | − | 8.12790i | −0.230432 | − | 0.452248i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.72168 | − | 3.43966i | 0.317382 | − | 0.190798i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 43.7350 | − | 22.2841i | 2.41855 | − | 1.23231i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 6.02026 | − | 8.28618i | 0.331908 | − | 0.456832i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.8679 | − | 19.0875i | −0.762247 | − | 1.04914i | −0.997024 | − | 0.0770934i | \(-0.975436\pi\) |
0.234777 | − | 0.972049i | \(-0.424564\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −37.2099 | − | 5.89347i | −2.03909 | − | 0.322960i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −5.85658 | + | 12.5631i | −0.319979 | + | 0.686397i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.02128 | + | 2.04894i | 0.219053 | + | 0.111613i | 0.560074 | − | 0.828443i | \(-0.310773\pi\) |
−0.341021 | + | 0.940056i | \(0.610773\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −12.3038 | + | 37.8671i | −0.668250 | + | 2.05666i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.03413 | − | 3.18273i | −0.0560013 | − | 0.172354i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.6041 | + | 12.6041i | −0.680557 | + | 0.680557i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −44.3636 | + | 16.1526i | −2.38845 | + | 0.869626i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.09940 | − | 13.2551i | −0.112702 | − | 0.711570i | −0.977733 | − | 0.209853i | \(-0.932702\pi\) |
0.865031 | − | 0.501718i | \(-0.167298\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.64203i | 0.302011i | 0.988533 | + | 0.151005i | \(0.0482511\pi\) | ||||
−0.988533 | + | 0.151005i | \(0.951749\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 1.29883i | − | 0.0693266i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 2.45754 | + | 15.5163i | 0.130802 | + | 0.825848i | 0.962631 | + | 0.270817i | \(0.0872938\pi\) |
−0.831829 | + | 0.555031i | \(0.812706\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.41321 | + | 1.80841i | 0.0750054 | + | 0.0959806i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 15.3623 | − | 15.3623i | 0.813060 | − | 0.813060i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 6.35999 | + | 19.5740i | 0.335667 | + | 1.03308i | 0.966392 | + | 0.257072i | \(0.0827576\pi\) |
−0.630725 | + | 0.776006i | \(0.717242\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.05910 | + | 15.5703i | −0.266269 | + | 0.819491i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 23.6633 | + | 12.0571i | 1.24200 | + | 0.632832i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.10454 | + | 10.8205i | 0.110157 | + | 0.566373i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.2423 | + | 2.09737i | 0.691242 | + | 0.109482i | 0.492165 | − | 0.870502i | \(-0.336206\pi\) |
0.199077 | + | 0.979984i | \(0.436206\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.315246 | − | 0.433898i | −0.0164110 | − | 0.0225878i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.27609 | − | 4.50915i | 0.170086 | − | 0.234104i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.7204 | + | 7.50041i | −0.762193 | + | 0.388357i | −0.791465 | − | 0.611215i | \(-0.790681\pi\) |
0.0292718 | + | 0.999571i | \(0.490681\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −17.7717 | + | 21.9611i | −0.917724 | + | 1.13407i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.86956 | + | 9.55705i | 0.250795 | + | 0.492213i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 27.4172 | + | 19.9197i | 1.40833 | + | 1.02321i | 0.993563 | + | 0.113279i | \(0.0361353\pi\) |
0.414763 | + | 0.909930i | \(0.363865\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 27.9488 | − | 20.3060i | 1.43186 | − | 1.04031i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.937636 | + | 5.92000i | −0.0479109 | + | 0.302498i | −0.999994 | − | 0.00334047i | \(-0.998937\pi\) |
0.952083 | + | 0.305838i | \(0.0989367\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.34706 | + | 0.456492i | −0.119617 | + | 0.0232650i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −11.1171 | + | 21.8185i | −0.565112 | + | 1.10910i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.85597 | + | 1.57780i | 0.246208 | + | 0.0799977i | 0.429521 | − | 0.903057i | \(-0.358682\pi\) |
−0.183314 | + | 0.983054i | \(0.558682\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −44.7149 | + | 14.5287i | −2.26133 | + | 0.734750i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 17.8737 | + | 17.8737i | 0.901610 | + | 0.901610i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −19.2140 | + | 15.0150i | −0.966760 | + | 0.755488i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.3182 | + | 2.10939i | −0.668420 | + | 0.105867i | −0.481417 | − | 0.876492i | \(-0.659878\pi\) |
−0.187004 | + | 0.982359i | \(0.559878\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 6.25987 | 0.313385 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.21166 | −0.110445 | −0.0552225 | − | 0.998474i | \(-0.517587\pi\) | ||||
−0.0552225 | + | 0.998474i | \(0.517587\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.30663 | + | 0.998872i | −0.314156 | + | 0.0497574i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −5.88822 | − | 16.1722i | −0.292588 | − | 0.803601i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.50719 | + | 5.50719i | 0.272981 | + | 0.272981i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.4631 | + | 3.72457i | −0.566812 | + | 0.184168i | −0.578384 | − | 0.815765i | \(-0.696316\pi\) |
0.0115722 | + | 0.999933i | \(0.496316\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 25.6341 | + | 8.32903i | 1.26444 | + | 0.410841i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −10.5585 | + | 20.7222i | −0.519548 | + | 1.01967i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.88997 | − | 3.67809i | −0.387303 | − | 0.180550i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −7.77531 | + | 49.0914i | −0.380758 | + | 2.40401i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 1.24155 | − | 0.902039i | 0.0606537 | − | 0.0440675i | −0.557045 | − | 0.830482i | \(-0.688065\pi\) |
0.617699 | + | 0.786415i | \(0.288065\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.12933 | + | 3.00014i | 0.201251 | + | 0.146218i | 0.683847 | − | 0.729626i | \(-0.260306\pi\) |
−0.482595 | + | 0.875844i | \(0.660306\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 10.3005 | + | 20.2159i | 0.500827 | + | 0.982929i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −18.4524 | + | 21.2366i | −0.895075 | + | 1.03013i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.0568 | − | 5.63373i | 0.535077 | − | 0.272635i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.38773 | + | 1.91005i | −0.0670003 | + | 0.0922180i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.811616 | − | 1.11709i | −0.0390942 | − | 0.0538085i | 0.789022 | − | 0.614364i | \(-0.210588\pi\) |
−0.828117 | + | 0.560556i | \(0.810588\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 19.1398 | + | 3.03145i | 0.919801 | + | 0.145682i | 0.598341 | − | 0.801241i | \(-0.295827\pi\) |
0.321459 | + | 0.946923i | \(0.395827\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −33.1997 | − | 30.9523i | −1.59180 | − | 1.48405i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −12.0704 | − | 6.15015i | −0.577403 | − | 0.294202i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.79514 | + | 20.9133i | −0.324314 | + | 0.998136i | 0.647435 | + | 0.762121i | \(0.275842\pi\) |
−0.971749 | + | 0.236016i | \(0.924158\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.87969 | − | 15.0181i | −0.232366 | − | 0.715150i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 18.6542 | − | 18.6542i | 0.886289 | − | 0.886289i | −0.107875 | − | 0.994164i | \(-0.534405\pi\) |
0.994164 | + | 0.107875i | \(0.0344047\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.8520 | − | 16.0926i | 0.514435 | − | 0.762864i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −4.90409 | − | 30.9632i | −0.231955 | − | 1.46451i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 26.5049i | − | 1.25084i | −0.780287 | − | 0.625422i | \(-0.784927\pi\) | ||
0.780287 | − | 0.625422i | \(-0.215073\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.110876i | 0.00522094i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.47909 | + | 15.6524i | 0.116478 | + | 0.735412i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.159723 | + | 4.55937i | 0.00748793 | + | 0.213747i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 26.9003 | − | 26.9003i | 1.25834 | − | 1.25834i | 0.306461 | − | 0.951883i | \(-0.400855\pi\) |
0.951883 | − | 0.306461i | \(-0.0991448\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.69138 | + | 5.20554i | 0.0789470 | + | 0.242974i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.17045 | + | 12.8353i | −0.194237 | + | 0.597800i | 0.805748 | + | 0.592259i | \(0.201764\pi\) |
−0.999985 | + | 0.00554125i | \(0.998236\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.9581 | + | 8.64060i | 0.788111 | + | 0.401563i | 0.801234 | − | 0.598351i | \(-0.204177\pi\) |
−0.0131228 | + | 0.999914i | \(0.504177\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 23.6313 | − | 13.1025i | 1.09588 | − | 0.607614i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 26.4680 | + | 4.19212i | 1.22479 | + | 0.193988i | 0.735131 | − | 0.677925i | \(-0.237120\pi\) |
0.489661 | + | 0.871913i | \(0.337120\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.56767 | − | 7.66324i | −0.257091 | − | 0.353855i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.29526 | + | 4.53554i | −0.151838 | + | 0.208987i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 4.51056 | − | 2.29825i | 0.207396 | − | 0.105673i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.08629 | + | 0.567251i | −0.371025 | + | 0.0260272i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.60530 | + | 11.0010i | 0.256649 | + | 0.503702i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −22.6704 | − | 16.4710i | −1.03584 | − | 0.752579i | −0.0663679 | − | 0.997795i | \(-0.521141\pi\) |
−0.969468 | + | 0.245216i | \(0.921141\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.0223 | − | 8.73470i | 0.548169 | − | 0.398268i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 5.04715 | − | 31.8664i | 0.229653 | − | 1.44997i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.03614 | + | 8.44645i | −0.0470488 | + | 0.383534i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.14432 | + | 14.0215i | −0.323740 | + | 0.635375i | −0.994316 | − | 0.106465i | \(-0.966047\pi\) |
0.670577 | + | 0.741840i | \(0.266047\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 3.11160 | + | 1.01102i | 0.140711 | + | 0.0457199i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 24.2576 | − | 7.88179i | 1.09473 | − | 0.355700i | 0.294659 | − | 0.955602i | \(-0.404794\pi\) |
0.800073 | + | 0.599903i | \(0.204794\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −31.9620 | − | 31.9620i | −1.43950 | − | 1.43950i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.45939 | − | 5.09163i | 0.0655947 | − | 0.228852i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.54910 | + | 0.245353i | −0.0694864 | + | 0.0110056i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.96970 | 0.356773 | 0.178386 | − | 0.983961i | \(-0.442912\pi\) | ||||
0.178386 | + | 0.983961i | \(0.442912\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −16.8284 | −0.751838 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 36.5361 | − | 5.78675i | 1.62906 | − | 0.258018i | 0.726054 | − | 0.687638i | \(-0.241352\pi\) |
0.903010 | + | 0.429620i | \(0.141352\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.29088 | − | 14.9704i | 0.190942 | − | 0.666172i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −20.0424 | − | 20.0424i | −0.890116 | − | 0.890116i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.01087 | − | 0.978290i | 0.133454 | − | 0.0433619i | −0.241528 | − | 0.970394i | \(-0.577649\pi\) |
0.374983 | + | 0.927032i | \(0.377649\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.16429 | − | 2.32782i | −0.316929 | − | 0.102977i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.715978 | + | 1.40519i | −0.0316112 | + | 0.0620405i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.383653 | − | 3.12747i | 0.0169058 | − | 0.137813i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.733754 | − | 4.63274i | 0.0322705 | − | 0.203748i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.20842 | − | 0.877970i | 0.0530438 | − | 0.0385386i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −18.6034 | − | 13.5161i | −0.815028 | − | 0.592152i | 0.100256 | − | 0.994962i | \(-0.468034\pi\) |
−0.915284 | + | 0.402809i | \(0.868034\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −5.37688 | − | 10.5527i | −0.235115 | − | 0.461438i | 0.743060 | − | 0.669225i | \(-0.233374\pi\) |
−0.978174 | + | 0.207787i | \(0.933374\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −7.23608 | − | 17.8985i | −0.315808 | − | 0.781155i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 23.9753 | − | 12.2160i | 1.04438 | − | 0.532139i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −27.5208 | + | 37.8792i | −1.19656 | + | 1.64692i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −30.2822 | − | 41.6799i | −1.31414 | − | 1.80875i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.208950 | + | 0.0330944i | 0.00905061 | + | 0.00143348i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 27.9305 | − | 15.4862i | 1.20754 | − | 0.669525i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 34.1941 | + | 17.4228i | 1.47559 | + | 0.751848i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.00878 | + | 3.10472i | −0.0434514 | + | 0.133730i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.76204 | − | 20.8114i | −0.290723 | − | 0.894753i | −0.984625 | − | 0.174683i | \(-0.944110\pi\) |
0.693902 | − | 0.720069i | \(-0.255890\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −24.1428 | + | 24.1428i | −1.03606 | + | 1.03606i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −1.52072 | − | 43.4097i | −0.0651405 | − | 1.85947i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.461983 | − | 2.91684i | −0.0197530 | − | 0.124715i | 0.975841 | − | 0.218480i | \(-0.0701098\pi\) |
−0.995594 | + | 0.0937648i | \(0.970110\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 27.4893i | 1.17322i | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 13.0239i | − | 0.554838i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.60682 | − | 16.4588i | −0.110853 | − | 0.699899i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −35.1591 | + | 52.1380i | −1.49242 | + | 2.21314i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.97120 | + | 3.97120i | −0.168265 | + | 0.168265i | −0.786216 | − | 0.617951i | \(-0.787963\pi\) |
0.617951 | + | 0.786216i | \(0.287963\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.98481 | − | 9.18631i | −0.126244 | − | 0.388539i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.07450 | − | 9.46235i | 0.129806 | − | 0.399501i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 10.2006 | + | 5.19747i | 0.429904 | + | 0.219047i | 0.655533 | − | 0.755166i | \(-0.272444\pi\) |
−0.225629 | + | 0.974213i | \(0.572444\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 25.7712 | + | 24.0267i | 1.08420 | + | 1.01081i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 11.6165 | + | 1.83987i | 0.487847 | + | 0.0772674i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −21.6548 | − | 29.8053i | −0.907817 | − | 1.24950i | −0.967907 | − | 0.251309i | \(-0.919139\pi\) |
0.0600903 | − | 0.998193i | \(-0.480861\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.2874 | − | 27.9232i | 0.849002 | − | 1.16855i | −0.135079 | − | 0.990835i | \(-0.543129\pi\) |
0.984082 | − | 0.177717i | \(-0.0568710\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 30.2628 | − | 15.4197i | 1.26425 | − | 0.644167i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −3.63210 | + | 41.6214i | −0.151469 | + | 1.73573i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.0627971 | + | 0.123246i | 0.00261428 | + | 0.00513081i | 0.892310 | − | 0.451423i | \(-0.149084\pi\) |
−0.889696 | + | 0.456554i | \(0.849084\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −19.1671 | − | 13.9257i | −0.796556 | − | 0.578732i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.81271 | − | 3.49664i | 0.199665 | − | 0.145065i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.399292 | − | 2.52103i | 0.0165370 | − | 0.104410i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.15976 | − | 4.27003i | −0.378710 | − | 0.176544i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −9.53903 | + | 18.7214i | −0.393718 | + | 0.772715i | −0.999742 | − | 0.0227315i | \(-0.992764\pi\) |
0.606024 | + | 0.795447i | \(0.292764\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.37366 | + | 2.39585i | 0.303826 | + | 0.0987192i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −34.9826 | + | 11.3665i | −1.43899 | + | 0.467557i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.53522 | − | 8.53522i | −0.350500 | − | 0.350500i | 0.509796 | − | 0.860295i | \(-0.329721\pi\) |
−0.860295 | + | 0.509796i | \(0.829721\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.57750 | − | 18.0653i | −0.269651 | − | 0.740606i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.39282 | − | 0.378985i | 0.0979315 | − | 0.0155108i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −43.2355 | −1.76655 | −0.883276 | − | 0.468852i | \(-0.844668\pi\) | ||||
−0.883276 | + | 0.468852i | \(0.844668\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.78938 | 0.154572 | 0.0772861 | − | 0.997009i | \(-0.475375\pi\) | ||||
0.0772861 | + | 0.997009i | \(0.475375\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 20.7247 | − | 3.28248i | 0.843977 | − | 0.133673i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 18.5180 | − | 14.4712i | 0.752865 | − | 0.588337i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −30.2283 | − | 30.2283i | −1.22693 | − | 1.22693i | −0.965119 | − | 0.261810i | \(-0.915681\pi\) |
−0.261810 | − | 0.965119i | \(-0.584319\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 29.5000 | − | 9.58515i | 1.19540 | − | 0.388410i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −8.51156 | − | 2.76557i | −0.344341 | − | 0.111883i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 16.8340 | − | 33.0385i | 0.679917 | − | 1.33441i | −0.250574 | − | 0.968098i | \(-0.580619\pi\) |
0.930491 | − | 0.366315i | \(-0.119381\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.878774 | + | 0.170917i | −0.0354356 | + | 0.00689206i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.69290 | + | 23.3161i | −0.148671 | + | 0.938670i | 0.794718 | + | 0.606979i | \(0.207619\pi\) |
−0.943388 | + | 0.331690i | \(0.892381\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 28.3479 | − | 20.5960i | 1.13940 | − | 0.827821i | 0.152363 | − | 0.988325i | \(-0.451312\pi\) |
0.987035 | + | 0.160503i | \(0.0513117\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.57596 | + | 4.77771i | 0.263884 | + | 0.191723i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 6.02175 | + | 11.8183i | 0.241256 | + | 0.473492i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.9692 | + | 22.4650i | 0.438770 | + | 0.898600i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.55427 | − | 1.30147i | 0.102008 | − | 0.0519756i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −36.8090 | + | 50.6632i | −1.46767 | + | 2.02008i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.9074 | − | 35.6585i | −1.03136 | − | 1.41954i | −0.903923 | − | 0.427695i | \(-0.859326\pi\) |
−0.127435 | − | 0.991847i | \(-0.540674\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 28.9269 | + | 4.58156i | 1.14974 | + | 0.182101i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −5.83658 | − | 30.0088i | −0.231617 | − | 1.19086i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.54986 | + | 2.82779i | 0.219893 | + | 0.112041i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.07363 | − | 3.30430i | 0.0424722 | − | 0.130716i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.59616 | − | 4.91247i | −0.0630445 | − | 0.194031i | 0.914573 | − | 0.404420i | \(-0.132527\pi\) |
−0.977618 | + | 0.210390i | \(0.932527\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.75915 | + | 8.75915i | −0.345427 | + | 0.345427i | −0.858403 | − | 0.512976i | \(-0.828543\pi\) |
0.512976 | + | 0.858403i | \(0.328543\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 25.1685 | + | 32.2068i | 0.991007 | + | 1.26814i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0.169704 | + | 1.07147i | 0.00667174 | + | 0.0421237i | 0.990800 | − | 0.135337i | \(-0.0432117\pi\) |
−0.984128 | + | 0.177461i | \(0.943212\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.6506i | 0.418074i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 18.4651i | 0.723704i | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.34961 | + | 27.4623i | 0.170213 | + | 1.07468i | 0.913836 | + | 0.406084i | \(0.133106\pi\) |
−0.743622 | + | 0.668600i | \(0.766894\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 21.0186 | − | 7.65279i | 0.821265 | − | 0.299019i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 11.7996 | − | 11.7996i | 0.460345 | − | 0.460345i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.33067 | + | 22.5615i | 0.285562 | + | 0.878870i | 0.986230 | + | 0.165382i | \(0.0528858\pi\) |
−0.700667 | + | 0.713488i | \(0.747114\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.722498 | + | 2.22362i | −0.0281019 | + | 0.0864888i | −0.964124 | − | 0.265453i | \(-0.914478\pi\) |
0.936022 | + | 0.351942i | \(0.114478\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −16.9145 | − | 8.61835i | −0.656904 | − | 0.334709i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.34054 | − | 5.02075i | 0.0907621 | − | 0.194696i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −66.2995 | − | 10.5008i | −2.56713 | − | 0.406593i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −26.6148 | − | 36.6321i | −1.02899 | − | 1.41628i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.34033 | − | 4.59757i | 0.128952 | − | 0.177487i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −30.7626 | + | 15.6743i | −1.18581 | + | 0.604201i | −0.931790 | − | 0.362998i | \(-0.881753\pi\) |
−0.254021 | + | 0.967199i | \(0.581753\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.84541 | + | 0.422835i | 0.186500 | + | 0.0162749i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 10.1098 | + | 19.8415i | 0.388549 | + | 0.762571i | 0.999578 | − | 0.0290371i | \(-0.00924408\pi\) |
−0.611029 | + | 0.791608i | \(0.709244\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.70468 | − | 3.41815i | −0.180549 | − | 0.131177i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −28.4996 | + | 20.7062i | −1.09211 | + | 0.793463i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −3.81619 | + | 24.0945i | −0.146023 | + | 0.921950i | 0.800505 | + | 0.599326i | \(0.204565\pi\) |
−0.946527 | + | 0.322624i | \(0.895435\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.2648 | − | 17.4458i | 0.621447 | − | 0.666568i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.04434 | + | 5.97485i | −0.116149 | + | 0.227955i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.63180 | − | 1.50496i | −0.176457 | − | 0.0573345i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 42.2488 | − | 13.7275i | 1.60722 | − | 0.522217i | 0.638341 | − | 0.769753i | \(-0.279621\pi\) |
0.968879 | + | 0.247536i | \(0.0796208\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.55942 | + | 2.55942i | 0.0972243 | + | 0.0972243i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 36.4668 | + | 24.5913i | 1.38326 | + | 0.932800i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.880536 | + | 0.139463i | −0.0333527 | + | 0.00528255i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −35.8630 | −1.35646 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 14.5039 | 0.547805 | 0.273902 | − | 0.961757i | \(-0.411685\pi\) | ||||
0.273902 | + | 0.961757i | \(0.411685\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.8217 | + | 2.82268i | −0.672158 | + | 0.106459i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 37.8490 | − | 1.32592i | 1.42548 | − | 0.0499370i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 7.52518 | + | 7.52518i | 0.283014 | + | 0.283014i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.6790 | − | 3.46982i | 0.401059 | − | 0.130312i | −0.101540 | − | 0.994831i | \(-0.532377\pi\) |
0.502599 | + | 0.864519i | \(0.332377\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 35.1074 | + | 11.4071i | 1.31663 | + | 0.427799i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 18.1415 | − | 35.6046i | 0.679403 | − | 1.33340i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.01310 | + | 1.82720i | 0.0378876 | + | 0.0683332i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −4.62041 | + | 29.1721i | −0.172552 | + | 1.08945i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 28.3054 | − | 20.5651i | 1.05562 | − | 0.766949i | 0.0823429 | − | 0.996604i | \(-0.473760\pi\) |
0.973272 | + | 0.229655i | \(0.0737597\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.74200 | + | 1.26564i | 0.0648756 | + | 0.0471349i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −21.1923 | − | 41.5921i | −0.788148 | − | 1.54683i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −37.2386 | + | 15.0550i | −1.38301 | + | 0.559128i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.73112 | − | 1.39158i | 0.101292 | − | 0.0516107i | −0.402611 | − | 0.915371i | \(-0.631897\pi\) |
0.503902 | + | 0.863761i | \(0.331897\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −19.6484 | + | 27.0437i | −0.727718 | + | 1.00162i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 23.9254 | + | 32.9305i | 0.884913 | + | 1.21798i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.7493 | − | 3.12799i | −0.729458 | − | 0.115535i | −0.219351 | − | 0.975646i | \(-0.570394\pi\) |
−0.510107 | + | 0.860111i | \(0.670394\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −26.1623 | − | 3.20938i | −0.965011 | − | 0.118380i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −3.86506 | − | 1.96935i | −0.142371 | − | 0.0725419i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.94023 | + | 27.5152i | −0.328872 | + | 1.01216i | 0.640791 | + | 0.767716i | \(0.278607\pi\) |
−0.969662 | + | 0.244448i | \(0.921393\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.69026 | − | 5.20208i | −0.0620932 | − | 0.191103i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.1037 | − | 19.1037i | 0.700847 | − | 0.700847i | −0.263746 | − | 0.964592i | \(-0.584958\pi\) |
0.964592 | + | 0.263746i | \(0.0849580\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −26.6678 | − | 7.64366i | −0.977032 | − | 0.280042i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.06148 | + | 13.0157i | 0.0754257 | + | 0.476219i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 21.8243i | 0.797444i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 28.6039i | − | 1.04377i | −0.853016 | − | 0.521885i | \(-0.825229\pi\) | ||
0.853016 | − | 0.521885i | \(-0.174771\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −8.39051 | − | 52.9756i | −0.305767 | − | 1.93054i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 13.4810 | + | 3.86399i | 0.490623 | + | 0.140625i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 28.8967 | − | 28.8967i | 1.05027 | − | 1.05027i | 0.0516009 | − | 0.998668i | \(-0.483568\pi\) |
0.998668 | − | 0.0516009i | \(-0.0164324\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −4.56580 | − | 14.0521i | −0.165728 | − | 0.510059i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −9.52096 | + | 29.3025i | −0.345135 | + | 1.06222i | 0.616377 | + | 0.787451i | \(0.288600\pi\) |
−0.961512 | + | 0.274764i | \(0.911400\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 26.4478 | + | 13.4758i | 0.957474 | + | 0.487858i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 42.2716 | + | 5.18554i | 1.52833 | + | 0.187484i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 20.0715 | + | 3.17901i | 0.724740 | + | 0.114788i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.90394 | + | 2.62054i | 0.0686577 | + | 0.0944993i | 0.841965 | − | 0.539532i | \(-0.181399\pi\) |
−0.773307 | + | 0.634032i | \(0.781399\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.81546 | + | 3.87514i | −0.101396 | + | 0.139560i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 19.9686 | − | 10.1745i | 0.718220 | − | 0.365951i | −0.0563745 | − | 0.998410i | \(-0.517954\pi\) |
0.774594 | + | 0.632458i | \(0.217954\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.67325 | − | 23.8526i | −0.0601050 | − | 0.856810i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −19.5097 | − | 38.2899i | −0.699905 | − | 1.37364i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.207816 | − | 0.150987i | −0.00744577 | − | 0.00540967i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.581082 | + | 0.422180i | −0.0207927 | + | 0.0151068i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.22247 | + | 7.71835i | −0.0436874 | + | 0.275831i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.40566 | + | 4.33880i | 0.0858618 | + | 0.154858i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.6369 | + | 36.5771i | −0.664335 | + | 1.30383i | 0.275203 | + | 0.961386i | \(0.411255\pi\) |
−0.939538 | + | 0.342445i | \(0.888745\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 34.0931 | + | 11.0775i | 1.21375 | + | 0.394370i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −22.8994 | + | 7.44045i | −0.814207 | + | 0.264552i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.66726 | − | 7.66726i | −0.272272 | − | 0.272272i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 20.5966 | − | 0.721535i | 0.730485 | − | 0.0255902i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −38.3233 | + | 6.06981i | −1.35748 | + | 0.215004i | −0.792385 | − | 0.610022i | \(-0.791161\pi\) |
−0.565095 | + | 0.825026i | \(0.691161\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 37.7145 | 1.33424 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −29.3826 | −1.03818 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −3.40728 | + | 0.539660i | −0.120240 | + | 0.0190442i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −23.6715 | − | 15.9628i | −0.834311 | − | 0.562615i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 13.1990 | + | 13.1990i | 0.464625 | + | 0.464625i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 38.5178 | − | 12.5152i | 1.35421 | − | 0.440010i | 0.460106 | − | 0.887864i | \(-0.347811\pi\) |
0.894107 | + | 0.447854i | \(0.147811\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −22.7477 | − | 7.39116i | −0.798779 | − | 0.259539i | −0.118941 | − | 0.992901i | \(-0.537950\pi\) |
−0.679838 | + | 0.733362i | \(0.737950\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −28.6385 | + | 56.2063i | −1.00440 | + | 1.97124i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.97431 | − | 2.11766i | 0.0691570 | − | 0.0741783i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.83471 | + | 11.5839i | −0.0641882 | + | 0.405268i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 5.58726 | − | 4.05938i | 0.195235 | − | 0.141846i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −31.7877 | − | 23.0951i | −1.10940 | − | 0.806025i | −0.126829 | − | 0.991925i | \(-0.540480\pi\) |
−0.982569 | + | 0.185900i | \(0.940480\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.607127 | − | 1.19155i | −0.0211631 | − | 0.0415350i | 0.880183 | − | 0.474635i | \(-0.157420\pi\) |
−0.901346 | + | 0.433100i | \(0.857420\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −6.67382 | − | 5.79886i | −0.232353 | − | 0.201891i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 10.5547 | − | 5.37788i | 0.367023 | − | 0.187007i | −0.260746 | − | 0.965407i | \(-0.583968\pi\) |
0.627768 | + | 0.778400i | \(0.283968\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.15706 | − | 9.85084i | 0.248575 | − | 0.342134i | −0.666437 | − | 0.745562i | \(-0.732181\pi\) |
0.915012 | + | 0.403428i | \(0.132181\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 27.8826 | + | 38.3771i | 0.967235 | + | 1.33129i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −25.9255 | − | 4.10619i | −0.898265 | − | 0.142271i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.29207 | + | 13.4973i | −0.217746 | + | 0.467093i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −4.14496 | − | 2.11196i | −0.143271 | − | 0.0730001i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.77186 | − | 20.8416i | 0.233791 | − | 0.719533i | −0.763489 | − | 0.645821i | \(-0.776515\pi\) |
0.997280 | − | 0.0737124i | \(-0.0234847\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.9808 | − | 33.7955i | −0.378649 | − | 1.16536i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.69204 | − | 1.69204i | 0.0582768 | − | 0.0582768i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −23.5689 | + | 8.58134i | −0.810795 | + | 0.295207i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.51240 | + | 15.8626i | 0.0863270 | + | 0.545047i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 69.5485i | − | 2.38690i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 92.9988i | 3.18796i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.32987 | + | 33.6515i | 0.182491 | + | 1.15221i | 0.893514 | + | 0.449036i | \(0.148232\pi\) |
−0.711022 | + | 0.703169i | \(0.751768\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 7.55595 | + | 9.66896i | 0.258408 | + | 0.330672i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −3.05566 | + | 3.05566i | −0.104380 | + | 0.104380i | −0.757368 | − | 0.652988i | \(-0.773515\pi\) |
0.652988 | + | 0.757368i | \(0.273515\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.09476 | + | 6.44702i | 0.0714724 | + | 0.219970i | 0.980412 | − | 0.196959i | \(-0.0631066\pi\) |
−0.908939 | + | 0.416928i | \(0.863107\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.189050 | − | 0.581837i | 0.00644282 | − | 0.0198290i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −16.8674 | − | 8.59435i | −0.574172 | − | 0.292555i | 0.142694 | − | 0.989767i | \(-0.454424\pi\) |
−0.716865 | + | 0.697212i | \(0.754424\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.252356 | − | 1.29749i | −0.00858035 | − | 0.0441160i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 36.5863 | + | 5.79470i | 1.24253 | + | 0.196798i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.48557 | − | 6.17386i | −0.152163 | − | 0.209434i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.86496 | + | 6.69604i | −0.164843 | + | 0.226887i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 11.4781 | − | 5.84836i | 0.388473 | − | 0.197937i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −17.0611 | − | 0.888444i | −0.576771 | − | 0.0300349i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.08050 | − | 9.97105i | −0.171556 | − | 0.336699i | 0.789180 | − | 0.614163i | \(-0.210506\pi\) |
−0.960736 | + | 0.277464i | \(0.910506\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −33.4368 | − | 24.2933i | −1.12780 | − | 0.819392i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 10.2267 | − | 7.43016i | 0.344548 | − | 0.250329i | −0.402030 | − | 0.915626i | \(-0.631695\pi\) |
0.746578 | + | 0.665298i | \(0.231695\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.76358 | + | 17.4485i | −0.0930018 | + | 0.587190i | 0.896542 | + | 0.442959i | \(0.146071\pi\) |
−0.989544 | + | 0.144232i | \(0.953929\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −84.4142 | + | 16.4182i | −2.83755 | + | 0.551891i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −5.63298 | + | 11.0553i | −0.189137 | + | 0.371202i | −0.966030 | − | 0.258431i | \(-0.916795\pi\) |
0.776893 | + | 0.629633i | \(0.216795\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 19.8689 | + | 6.45579i | 0.666380 | + | 0.216520i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 5.12251 | − | 1.66440i | 0.171610 | − | 0.0557596i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 7.68399 | + | 7.68399i | 0.257135 | + | 0.257135i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 26.7590 | − | 20.9112i | 0.894456 | − | 0.698986i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −27.8445 | + | 4.41013i | −0.929700 | + | 0.147250i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 38.4174 | 1.28129 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 20.5234 | 0.683733 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −27.5885 | + | 4.36959i | −0.918088 | + | 0.145411i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 10.3369 | + | 28.3907i | 0.343611 | + | 0.943738i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 15.8504 | + | 15.8504i | 0.526303 | + | 0.526303i | 0.919468 | − | 0.393165i | \(-0.128620\pi\) |
−0.393165 | + | 0.919468i | \(0.628620\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −22.4209 | + | 7.28499i | −0.743654 | + | 0.241628i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 39.9966 | + | 12.9957i | 1.32515 | + | 0.430566i | 0.884259 | − | 0.466997i | \(-0.154664\pi\) |
0.440886 | + | 0.897563i | \(0.354664\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.23680 | − | 2.42736i | 0.0409322 | − | 0.0803339i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 41.5884 | + | 19.3874i | 1.37487 | + | 0.640926i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −2.39124 | + | 15.0977i | −0.0789657 | + | 0.498570i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.34396 | + | 3.15607i | −0.143294 | + | 0.104109i | −0.657123 | − | 0.753784i | \(-0.728227\pi\) |
0.513829 | + | 0.857893i | \(0.328227\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 46.8701 | + | 34.0531i | 1.54442 | + | 1.12209i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.622173 | + | 1.22108i | 0.0204791 | + | 0.0401924i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.6717 | + | 47.6937i | 0.942719 | + | 1.56816i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.24998 | + | 2.16547i | −0.139588 | + | 0.0711235i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 18.5366 | − | 25.5134i | 0.608165 | − | 0.837067i | −0.388260 | − | 0.921550i | \(-0.626924\pi\) |
0.996425 | + | 0.0844825i | \(0.0269237\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.44548 | − | 6.11868i | −0.145695 | − | 0.200532i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 8.02329 | + | 1.27076i | 0.262671 | + | 0.0416029i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −6.43977 | − | 6.00385i | −0.210603 | − | 0.196347i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −31.9461 | − | 16.2773i | −1.04363 | − | 0.531758i | −0.153828 | − | 0.988098i | \(-0.549160\pi\) |
−0.889806 | + | 0.456340i | \(0.849160\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 16.1342 | − | 49.6559i | 0.526519 | − | 1.62046i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.9733 | + | 46.0832i | 0.488117 | + | 1.50227i | 0.827415 | + | 0.561591i | \(0.189811\pi\) |
−0.339298 | + | 0.940679i | \(0.610189\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.936169 | + | 0.936169i | −0.0304859 | + | 0.0304859i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −1.85833 | + | 2.75575i | −0.0604515 | + | 0.0896445i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0.711359 | + | 4.49135i | 0.0231161 | + | 0.145949i | 0.996547 | − | 0.0830323i | \(-0.0264605\pi\) |
−0.973431 | + | 0.228981i | \(0.926460\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.58222i | 0.213668i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 18.8371i | 0.610835i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −0.905342 | − | 5.71610i | −0.0293269 | − | 0.185163i | 0.968676 | − | 0.248327i | \(-0.0798808\pi\) |
−0.998003 | + | 0.0631644i | \(0.979881\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.05228 | − | 30.0378i | −0.0340509 | − | 0.972000i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 10.0444 | − | 10.0444i | 0.324688 | − | 0.324688i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 5.03680 | + | 15.5017i | 0.162647 | + | 0.500576i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.51236 | − | 7.73225i | 0.0810439 | − | 0.249427i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −43.0761 | − | 21.9484i | −1.38811 | − | 0.707277i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −18.3356 | + | 10.1663i | −0.590245 | + | 0.327264i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −34.2974 | − | 5.43217i | −1.10293 | − | 0.174687i | −0.421685 | − | 0.906742i | \(-0.638561\pi\) |
−0.681245 | + | 0.732055i | \(0.738561\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 13.5486 | + | 18.6481i | 0.435245 | + | 0.599063i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 14.5302 | − | 19.9991i | 0.466296 | − | 0.641801i | −0.509504 | − | 0.860469i | \(-0.670171\pi\) |
0.975799 | + | 0.218667i | \(0.0701710\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −26.7810 | + | 13.6456i | −0.858559 | + | 0.437458i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −12.9202 | + | 10.8462i | −0.413777 | + | 0.347357i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −16.9857 | − | 33.3364i | −0.543422 | − | 1.06652i | −0.985520 | − | 0.169558i | \(-0.945766\pi\) |
0.442099 | − | 0.896967i | \(-0.354234\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.91422 | + | 3.57039i | 0.157059 | + | 0.114110i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −53.1962 | + | 38.6493i | −1.69843 | + | 1.23398i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.11732 | − | 13.3682i | 0.0675319 | − | 0.426380i | −0.930640 | − | 0.365937i | \(-0.880749\pi\) |
0.998172 | − | 0.0604430i | \(-0.0192513\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.96327 | + | 32.3079i | −0.126280 | + | 1.02941i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −11.7496 | + | 23.0599i | −0.373994 | + | 0.734004i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 57.4895 | + | 18.6795i | 1.82806 | + | 0.593973i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.20979 | + | 0.393085i | −0.0384302 | + | 0.0124867i | −0.328169 | − | 0.944619i | \(-0.606432\pi\) |
0.289739 | + | 0.957106i | \(0.406432\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 42.1556 | + | 42.1556i | 1.33777 | + | 1.33777i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.590698 | − | 2.06087i | 0.0187264 | − | 0.0653340i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −27.7961 | + | 4.40246i | −0.880310 | + | 0.139427i | −0.580197 | − | 0.814476i | \(-0.697024\pi\) |
−0.300113 | + | 0.953904i | \(0.597024\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 10.8266 | 0.342538 |
(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 | 400.2.bi.d.303.2 | ✓ | 80 | |
4.3 | odd | 2 | inner | 400.2.bi.d.303.9 | yes | 80 | |
25.17 | odd | 20 | inner | 400.2.bi.d.367.9 | yes | 80 | |
100.67 | even | 20 | inner | 400.2.bi.d.367.2 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bi.d.303.2 | ✓ | 80 | 1.1 | even | 1 | trivial | |
400.2.bi.d.303.9 | yes | 80 | 4.3 | odd | 2 | inner | |
400.2.bi.d.367.2 | yes | 80 | 100.67 | even | 20 | inner | |
400.2.bi.d.367.9 | yes | 80 | 25.17 | odd | 20 | inner |