Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,3,Mod(69,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.69");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.c (of order \(2\), degree \(1\), 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: | \(7.62944740209\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 69.15 | ||
Character | \(\chi\) | \(=\) | 280.69 |
Dual form | 280.3.c.g.69.14 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.65383 | + | 1.12465i | −0.826917 | + | 0.562324i | ||||
\(3\) | − | 2.74983i | − | 0.916610i | −0.888795 | − | 0.458305i | \(-0.848457\pi\) | ||
0.888795 | − | 0.458305i | \(-0.151543\pi\) | |||||||
\(4\) | 1.47034 | − | 3.71996i | 0.367584 | − | 0.929990i | ||||
\(5\) | 4.72637 | − | 1.63138i | 0.945275 | − | 0.326275i | ||||
\(6\) | 3.09259 | + | 4.54776i | 0.515432 | + | 0.757961i | ||||
\(7\) | −1.41172 | + | 6.85617i | −0.201675 | + | 0.979453i | ||||
\(8\) | 1.75195 | + | 7.80581i | 0.218994 | + | 0.975726i | ||||
\(9\) | 1.43843 | 0.159826 | ||||||||
\(10\) | −5.98192 | + | 8.01353i | −0.598192 | + | 0.801353i | ||||
\(11\) | 14.1984i | 1.29076i | 0.763861 | + | 0.645381i | \(0.223301\pi\) | ||||
−0.763861 | + | 0.645381i | \(0.776699\pi\) | |||||||
\(12\) | −10.2293 | − | 4.04318i | −0.852439 | − | 0.336931i | ||||
\(13\) | 5.89684i | 0.453603i | 0.973941 | + | 0.226801i | \(0.0728268\pi\) | ||||
−0.973941 | + | 0.226801i | \(0.927173\pi\) | |||||||
\(14\) | −5.37601 | − | 12.9267i | −0.384001 | − | 0.923333i | ||||
\(15\) | −4.48601 | − | 12.9967i | −0.299067 | − | 0.866449i | ||||
\(16\) | −11.6762 | − | 10.9392i | −0.729764 | − | 0.683699i | ||||
\(17\) | 10.0079 | 0.588698 | 0.294349 | − | 0.955698i | \(-0.404897\pi\) | ||||
0.294349 | + | 0.955698i | \(0.404897\pi\) | |||||||
\(18\) | −2.37893 | + | 1.61773i | −0.132163 | + | 0.0898738i | ||||
\(19\) | 18.9481 | 0.997268 | 0.498634 | − | 0.866813i | \(-0.333835\pi\) | ||||
0.498634 | + | 0.866813i | \(0.333835\pi\) | |||||||
\(20\) | 0.880700 | − | 19.9806i | 0.0440350 | − | 0.999030i | ||||
\(21\) | 18.8533 | + | 3.88200i | 0.897776 | + | 0.184857i | ||||
\(22\) | −15.9682 | − | 23.4818i | −0.725826 | − | 1.06735i | ||||
\(23\) | 11.5809i | 0.503517i | 0.967790 | + | 0.251759i | \(0.0810089\pi\) | ||||
−0.967790 | + | 0.251759i | \(0.918991\pi\) | |||||||
\(24\) | 21.4647 | − | 4.81757i | 0.894361 | − | 0.200732i | ||||
\(25\) | 19.6772 | − | 15.4210i | 0.787089 | − | 0.616840i | ||||
\(26\) | −6.63186 | − | 9.75239i | −0.255072 | − | 0.375092i | ||||
\(27\) | − | 28.7039i | − | 1.06311i | ||||||
\(28\) | 23.4290 | + | 15.3324i | 0.836749 | + | 0.547587i | ||||
\(29\) | − | 31.7681i | − | 1.09545i | −0.836658 | − | 0.547725i | \(-0.815494\pi\) | ||
0.836658 | − | 0.547725i | \(-0.184506\pi\) | |||||||
\(30\) | 22.0359 | + | 16.4493i | 0.734528 | + | 0.548309i | ||||
\(31\) | 48.2661i | 1.55697i | 0.627662 | + | 0.778486i | \(0.284012\pi\) | ||||
−0.627662 | + | 0.778486i | \(0.715988\pi\) | |||||||
\(32\) | 31.6133 | + | 4.95997i | 0.987915 | + | 0.154999i | ||||
\(33\) | 39.0431 | 1.18313 | ||||||||
\(34\) | −16.5513 | + | 11.2553i | −0.486804 | + | 0.331039i | ||||
\(35\) | 4.51266 | + | 34.7079i | 0.128933 | + | 0.991653i | ||||
\(36\) | 2.11498 | − | 5.35091i | 0.0587494 | − | 0.148636i | ||||
\(37\) | −39.7143 | −1.07336 | −0.536680 | − | 0.843786i | \(-0.680322\pi\) | ||||
−0.536680 | + | 0.843786i | \(0.680322\pi\) | |||||||
\(38\) | −31.3370 | + | 21.3099i | −0.824658 | + | 0.560788i | ||||
\(39\) | 16.2153 | 0.415777 | ||||||||
\(40\) | 21.0146 | + | 34.0351i | 0.525365 | + | 0.850877i | ||||
\(41\) | − | 15.8176i | − | 0.385794i | −0.981219 | − | 0.192897i | \(-0.938212\pi\) | ||
0.981219 | − | 0.192897i | \(-0.0617883\pi\) | |||||||
\(42\) | −35.5461 | + | 14.7831i | −0.846336 | + | 0.351979i | ||||
\(43\) | 30.0245 | 0.698243 | 0.349122 | − | 0.937077i | \(-0.386480\pi\) | ||||
0.349122 | + | 0.937077i | \(0.386480\pi\) | |||||||
\(44\) | 52.8174 | + | 20.8764i | 1.20040 | + | 0.474463i | ||||
\(45\) | 6.79856 | − | 2.34662i | 0.151079 | − | 0.0521472i | ||||
\(46\) | −13.0244 | − | 19.1529i | −0.283140 | − | 0.416367i | ||||
\(47\) | 83.3321 | 1.77302 | 0.886511 | − | 0.462707i | \(-0.153122\pi\) | ||||
0.886511 | + | 0.462707i | \(0.153122\pi\) | |||||||
\(48\) | −30.0809 | + | 32.1076i | −0.626686 | + | 0.668909i | ||||
\(49\) | −45.0141 | − | 19.3580i | −0.918654 | − | 0.395062i | ||||
\(50\) | −15.1997 | + | 47.6337i | −0.303994 | + | 0.952674i | ||||
\(51\) | − | 27.5199i | − | 0.539606i | ||||||
\(52\) | 21.9360 | + | 8.67033i | 0.421846 | + | 0.166737i | ||||
\(53\) | 17.9248 | 0.338203 | 0.169102 | − | 0.985599i | \(-0.445913\pi\) | ||||
0.169102 | + | 0.985599i | \(0.445913\pi\) | |||||||
\(54\) | 32.2818 | + | 47.4715i | 0.597811 | + | 0.879102i | ||||
\(55\) | 23.1629 | + | 67.1069i | 0.421144 | + | 1.22012i | ||||
\(56\) | −55.9912 | + | 0.992031i | −0.999843 | + | 0.0177148i | ||||
\(57\) | − | 52.1041i | − | 0.914106i | ||||||
\(58\) | 35.7279 | + | 52.5391i | 0.615998 | + | 0.905847i | ||||
\(59\) | −109.697 | −1.85927 | −0.929634 | − | 0.368484i | \(-0.879877\pi\) | ||||
−0.929634 | + | 0.368484i | \(0.879877\pi\) | |||||||
\(60\) | −54.9433 | − | 2.42178i | −0.915721 | − | 0.0403629i | ||||
\(61\) | 35.4866 | 0.581748 | 0.290874 | − | 0.956761i | \(-0.406054\pi\) | ||||
0.290874 | + | 0.956761i | \(0.406054\pi\) | |||||||
\(62\) | −54.2824 | − | 79.8242i | −0.875522 | − | 1.28749i | ||||
\(63\) | −2.03067 | + | 9.86212i | −0.0322328 | + | 0.156542i | ||||
\(64\) | −57.8613 | + | 27.3508i | −0.904083 | + | 0.427357i | ||||
\(65\) | 9.61996 | + | 27.8707i | 0.147999 | + | 0.428779i | ||||
\(66\) | −64.5709 | + | 43.9098i | −0.978347 | + | 0.665300i | ||||
\(67\) | 44.5578 | 0.665042 | 0.332521 | − | 0.943096i | \(-0.392101\pi\) | ||||
0.332521 | + | 0.943096i | \(0.392101\pi\) | |||||||
\(68\) | 14.7149 | − | 37.2289i | 0.216396 | − | 0.547483i | ||||
\(69\) | 31.8455 | 0.461529 | ||||||||
\(70\) | −46.4973 | − | 52.3259i | −0.664247 | − | 0.747513i | ||||
\(71\) | −75.5330 | −1.06384 | −0.531922 | − | 0.846793i | \(-0.678530\pi\) | ||||
−0.531922 | + | 0.846793i | \(0.678530\pi\) | |||||||
\(72\) | 2.52006 | + | 11.2281i | 0.0350009 | + | 0.155946i | ||||
\(73\) | 81.9741 | 1.12293 | 0.561466 | − | 0.827500i | \(-0.310237\pi\) | ||||
0.561466 | + | 0.827500i | \(0.310237\pi\) | |||||||
\(74\) | 65.6809 | − | 44.6646i | 0.887580 | − | 0.603576i | ||||
\(75\) | −42.4051 | − | 54.1090i | −0.565402 | − | 0.721454i | ||||
\(76\) | 27.8601 | − | 70.4862i | 0.366580 | − | 0.927450i | ||||
\(77\) | −97.3465 | − | 20.0442i | −1.26424 | − | 0.260314i | ||||
\(78\) | −26.8174 | + | 18.2365i | −0.343813 | + | 0.233801i | ||||
\(79\) | 89.6824 | 1.13522 | 0.567610 | − | 0.823297i | \(-0.307868\pi\) | ||||
0.567610 | + | 0.823297i | \(0.307868\pi\) | |||||||
\(80\) | −73.0321 | − | 32.6544i | −0.912902 | − | 0.408180i | ||||
\(81\) | −65.9850 | −0.814630 | ||||||||
\(82\) | 17.7892 | + | 26.1596i | 0.216941 | + | 0.319020i | ||||
\(83\) | − | 107.645i | − | 1.29693i | −0.761246 | − | 0.648463i | \(-0.775412\pi\) | ||
0.761246 | − | 0.648463i | \(-0.224588\pi\) | |||||||
\(84\) | 42.1616 | − | 64.4257i | 0.501924 | − | 0.766973i | ||||
\(85\) | 47.3009 | − | 16.3266i | 0.556481 | − | 0.192078i | ||||
\(86\) | −49.6555 | + | 33.7669i | −0.577389 | + | 0.392639i | ||||
\(87\) | −87.3568 | −1.00410 | ||||||||
\(88\) | −110.830 | + | 24.8749i | −1.25943 | + | 0.282669i | ||||
\(89\) | − | 145.006i | − | 1.62928i | −0.579965 | − | 0.814641i | \(-0.696934\pi\) | ||
0.579965 | − | 0.814641i | \(-0.303066\pi\) | |||||||
\(90\) | −8.60457 | + | 11.5269i | −0.0956064 | + | 0.128077i | ||||
\(91\) | −40.4297 | − | 8.32471i | −0.444282 | − | 0.0914803i | ||||
\(92\) | 43.0805 | + | 17.0278i | 0.468266 | + | 0.185085i | ||||
\(93\) | 132.724 | 1.42714 | ||||||||
\(94\) | −137.817 | + | 93.7192i | −1.46614 | + | 0.997013i | ||||
\(95\) | 89.5558 | − | 30.9115i | 0.942693 | − | 0.325384i | ||||
\(96\) | 13.6391 | − | 86.9311i | 0.142074 | − | 0.905533i | ||||
\(97\) | 13.4460 | 0.138619 | 0.0693093 | − | 0.997595i | \(-0.477920\pi\) | ||||
0.0693093 | + | 0.997595i | \(0.477920\pi\) | |||||||
\(98\) | 96.2168 | − | 18.6100i | 0.981804 | − | 0.189898i | ||||
\(99\) | 20.4234i | 0.206297i | ||||||||
\(100\) | −28.4334 | − | 95.8725i | −0.284334 | − | 0.958725i | ||||
\(101\) | −45.8794 | −0.454251 | −0.227126 | − | 0.973865i | \(-0.572933\pi\) | ||||
−0.227126 | + | 0.973865i | \(0.572933\pi\) | |||||||
\(102\) | 30.9502 | + | 45.5134i | 0.303434 | + | 0.446210i | ||||
\(103\) | −103.275 | −1.00267 | −0.501334 | − | 0.865254i | \(-0.667157\pi\) | ||||
−0.501334 | + | 0.865254i | \(0.667157\pi\) | |||||||
\(104\) | −46.0296 | + | 10.3310i | −0.442592 | + | 0.0993363i | ||||
\(105\) | 95.4408 | − | 12.4090i | 0.908960 | − | 0.118181i | ||||
\(106\) | −29.6446 | + | 20.1591i | −0.279666 | + | 0.190180i | ||||
\(107\) | −183.182 | −1.71198 | −0.855992 | − | 0.516990i | \(-0.827052\pi\) | ||||
−0.855992 | + | 0.516990i | \(0.827052\pi\) | |||||||
\(108\) | −106.777 | − | 42.2044i | −0.988680 | − | 0.390782i | ||||
\(109\) | 183.478i | 1.68328i | 0.540035 | + | 0.841642i | \(0.318411\pi\) | ||||
−0.540035 | + | 0.841642i | \(0.681589\pi\) | |||||||
\(110\) | −113.779 | − | 84.9335i | −1.03436 | − | 0.772123i | ||||
\(111\) | 109.208i | 0.983853i | ||||||||
\(112\) | 91.4845 | − | 64.6110i | 0.816826 | − | 0.576884i | ||||
\(113\) | 50.0317i | 0.442759i | 0.975188 | + | 0.221379i | \(0.0710559\pi\) | ||||
−0.975188 | + | 0.221379i | \(0.928944\pi\) | |||||||
\(114\) | 58.5987 | + | 86.1715i | 0.514024 | + | 0.755890i | ||||
\(115\) | 18.8928 | + | 54.7356i | 0.164285 | + | 0.475962i | ||||
\(116\) | −118.176 | − | 46.7097i | −1.01876 | − | 0.402670i | ||||
\(117\) | 8.48219i | 0.0724974i | ||||||||
\(118\) | 181.420 | − | 123.370i | 1.53746 | − | 1.04551i | ||||
\(119\) | −14.1283 | + | 68.6156i | −0.118726 | + | 0.576602i | ||||
\(120\) | 93.5907 | − | 57.7866i | 0.779923 | − | 0.481555i | ||||
\(121\) | −80.5940 | −0.666066 | ||||||||
\(122\) | −58.6890 | + | 39.9099i | −0.481057 | + | 0.327131i | ||||
\(123\) | −43.4956 | −0.353623 | ||||||||
\(124\) | 179.548 | + | 70.9674i | 1.44797 | + | 0.572318i | ||||
\(125\) | 67.8445 | − | 104.986i | 0.542756 | − | 0.839891i | ||||
\(126\) | −7.73302 | − | 18.5941i | −0.0613732 | − | 0.147572i | ||||
\(127\) | 82.7028i | 0.651203i | 0.945507 | + | 0.325602i | \(0.105567\pi\) | ||||
−0.945507 | + | 0.325602i | \(0.894433\pi\) | |||||||
\(128\) | 64.9330 | − | 110.307i | 0.507289 | − | 0.861776i | ||||
\(129\) | − | 82.5622i | − | 0.640017i | ||||||
\(130\) | −47.2545 | − | 35.2744i | −0.363496 | − | 0.271341i | ||||
\(131\) | −87.5299 | −0.668167 | −0.334084 | − | 0.942543i | \(-0.608427\pi\) | ||||
−0.334084 | + | 0.942543i | \(0.608427\pi\) | |||||||
\(132\) | 57.4065 | − | 145.239i | 0.434898 | − | 1.10030i | ||||
\(133\) | −26.7495 | + | 129.911i | −0.201124 | + | 0.976777i | ||||
\(134\) | −73.6912 | + | 50.1118i | −0.549935 | + | 0.373969i | ||||
\(135\) | −46.8269 | − | 135.665i | −0.346866 | − | 1.00493i | ||||
\(136\) | 17.5333 | + | 78.1195i | 0.128921 | + | 0.574408i | ||||
\(137\) | 61.5426i | 0.449216i | 0.974449 | + | 0.224608i | \(0.0721101\pi\) | ||||
−0.974449 | + | 0.224608i | \(0.927890\pi\) | |||||||
\(138\) | −52.6672 | + | 35.8150i | −0.381646 | + | 0.259529i | ||||
\(139\) | −15.9192 | −0.114527 | −0.0572634 | − | 0.998359i | \(-0.518237\pi\) | ||||
−0.0572634 | + | 0.998359i | \(0.518237\pi\) | |||||||
\(140\) | 135.747 | + | 34.2453i | 0.969622 | + | 0.244609i | ||||
\(141\) | − | 229.149i | − | 1.62517i | ||||||
\(142\) | 124.919 | − | 84.9479i | 0.879711 | − | 0.598225i | ||||
\(143\) | −83.7255 | −0.585493 | ||||||||
\(144\) | −16.7954 | − | 15.7353i | −0.116635 | − | 0.109273i | ||||
\(145\) | −51.8257 | − | 150.148i | −0.357419 | − | 1.03550i | ||||
\(146\) | −135.572 | + | 92.1919i | −0.928572 | + | 0.631452i | ||||
\(147\) | −53.2313 | + | 123.781i | −0.362118 | + | 0.842048i | ||||
\(148\) | −58.3934 | + | 147.736i | −0.394550 | + | 0.998215i | ||||
\(149\) | 56.3566i | 0.378232i | 0.981955 | + | 0.189116i | \(0.0605623\pi\) | ||||
−0.981955 | + | 0.189116i | \(0.939438\pi\) | |||||||
\(150\) | 130.985 | + | 41.7966i | 0.873231 | + | 0.278644i | ||||
\(151\) | −50.9865 | −0.337659 | −0.168829 | − | 0.985645i | \(-0.553999\pi\) | ||||
−0.168829 | + | 0.985645i | \(0.553999\pi\) | |||||||
\(152\) | 33.1962 | + | 147.905i | 0.218396 | + | 0.973061i | ||||
\(153\) | 14.3956 | 0.0940890 | ||||||||
\(154\) | 183.538 | − | 76.3307i | 1.19180 | − | 0.495654i | ||||
\(155\) | 78.7402 | + | 228.124i | 0.508001 | + | 1.47177i | ||||
\(156\) | 23.8419 | − | 60.3203i | 0.152833 | − | 0.386669i | ||||
\(157\) | 222.491i | 1.41714i | 0.705641 | + | 0.708570i | \(0.250659\pi\) | ||||
−0.705641 | + | 0.708570i | \(0.749341\pi\) | |||||||
\(158\) | −148.320 | + | 100.861i | −0.938733 | + | 0.638361i | ||||
\(159\) | − | 49.2901i | − | 0.310001i | ||||||
\(160\) | 157.508 | − | 28.1305i | 0.984423 | − | 0.175816i | ||||
\(161\) | −79.4005 | − | 16.3490i | −0.493171 | − | 0.101547i | ||||
\(162\) | 109.128 | − | 74.2099i | 0.673632 | − | 0.458086i | ||||
\(163\) | −69.7727 | −0.428053 | −0.214027 | − | 0.976828i | \(-0.568658\pi\) | ||||
−0.214027 | + | 0.976828i | \(0.568658\pi\) | |||||||
\(164\) | −58.8407 | − | 23.2571i | −0.358785 | − | 0.141812i | ||||
\(165\) | 184.532 | − | 63.6941i | 1.11838 | − | 0.386025i | ||||
\(166\) | 121.063 | + | 178.027i | 0.729293 | + | 1.07245i | ||||
\(167\) | −36.9782 | −0.221426 | −0.110713 | − | 0.993852i | \(-0.535313\pi\) | ||||
−0.110713 | + | 0.993852i | \(0.535313\pi\) | |||||||
\(168\) | 2.72792 | + | 153.966i | 0.0162376 | + | 0.916466i | ||||
\(169\) | 134.227 | 0.794244 | ||||||||
\(170\) | −59.8662 | + | 80.1983i | −0.352154 | + | 0.471755i | ||||
\(171\) | 27.2555 | 0.159389 | ||||||||
\(172\) | 44.1460 | − | 111.690i | 0.256663 | − | 0.649360i | ||||
\(173\) | − | 111.750i | − | 0.645954i | −0.946407 | − | 0.322977i | \(-0.895316\pi\) | ||
0.946407 | − | 0.322977i | \(-0.104684\pi\) | |||||||
\(174\) | 144.474 | − | 98.2456i | 0.830309 | − | 0.564630i | ||||
\(175\) | 77.9501 | + | 156.681i | 0.445429 | + | 0.895317i | ||||
\(176\) | 155.319 | − | 165.783i | 0.882493 | − | 0.941952i | ||||
\(177\) | 301.648i | 1.70422i | ||||||||
\(178\) | 163.081 | + | 239.816i | 0.916184 | + | 1.34728i | ||||
\(179\) | − | 157.855i | − | 0.881874i | −0.897538 | − | 0.440937i | \(-0.854646\pi\) | ||
0.897538 | − | 0.440937i | \(-0.145354\pi\) | |||||||
\(180\) | 1.26683 | − | 28.7407i | 0.00703792 | − | 0.159671i | ||||
\(181\) | 89.1362 | 0.492465 | 0.246232 | − | 0.969211i | \(-0.420807\pi\) | ||||
0.246232 | + | 0.969211i | \(0.420807\pi\) | |||||||
\(182\) | 76.2264 | − | 31.7015i | 0.418826 | − | 0.174184i | ||||
\(183\) | − | 97.5822i | − | 0.533236i | ||||||
\(184\) | −90.3982 | + | 20.2892i | −0.491295 | + | 0.110267i | ||||
\(185\) | −187.705 | + | 64.7890i | −1.01462 | + | 0.350211i | ||||
\(186\) | −219.503 | + | 149.267i | −1.18012 | + | 0.802512i | ||||
\(187\) | 142.095i | 0.759869i | ||||||||
\(188\) | 122.526 | − | 309.992i | 0.651735 | − | 1.64889i | ||||
\(189\) | 196.799 | + | 40.5220i | 1.04126 | + | 0.214402i | ||||
\(190\) | −113.346 | + | 151.841i | −0.596558 | + | 0.799164i | ||||
\(191\) | −102.321 | −0.535711 | −0.267855 | − | 0.963459i | \(-0.586315\pi\) | ||||
−0.267855 | + | 0.963459i | \(0.586315\pi\) | |||||||
\(192\) | 75.2101 | + | 159.109i | 0.391719 | + | 0.828692i | ||||
\(193\) | − | 141.825i | − | 0.734844i | −0.930054 | − | 0.367422i | \(-0.880240\pi\) | ||
0.930054 | − | 0.367422i | \(-0.119760\pi\) | |||||||
\(194\) | −22.2375 | + | 15.1220i | −0.114626 | + | 0.0779485i | ||||
\(195\) | 76.6396 | − | 26.4533i | 0.393024 | − | 0.135658i | ||||
\(196\) | −138.197 | + | 138.988i | −0.705087 | + | 0.709121i | ||||
\(197\) | −51.0345 | −0.259058 | −0.129529 | − | 0.991576i | \(-0.541347\pi\) | ||||
−0.129529 | + | 0.991576i | \(0.541347\pi\) | |||||||
\(198\) | −22.9691 | − | 33.7769i | −0.116006 | − | 0.170590i | ||||
\(199\) | − | 75.4770i | − | 0.379281i | −0.981854 | − | 0.189641i | \(-0.939268\pi\) | ||
0.981854 | − | 0.189641i | \(-0.0607323\pi\) | |||||||
\(200\) | 154.847 | + | 126.580i | 0.774234 | + | 0.632899i | ||||
\(201\) | − | 122.526i | − | 0.609584i | ||||||
\(202\) | 75.8769 | − | 51.5981i | 0.375628 | − | 0.255436i | ||||
\(203\) | 217.807 | + | 44.8478i | 1.07294 | + | 0.220925i | ||||
\(204\) | −102.373 | − | 40.4635i | −0.501829 | − | 0.198351i | ||||
\(205\) | −25.8044 | − | 74.7597i | −0.125875 | − | 0.364681i | ||||
\(206\) | 170.799 | − | 116.148i | 0.829123 | − | 0.563824i | ||||
\(207\) | 16.6583i | 0.0804749i | ||||||||
\(208\) | 64.5066 | − | 68.8528i | 0.310128 | − | 0.331023i | ||||
\(209\) | 269.032i | 1.28724i | ||||||||
\(210\) | −143.887 | + | 127.860i | −0.685178 | + | 0.608856i | ||||
\(211\) | 187.728i | 0.889706i | 0.895604 | + | 0.444853i | \(0.146744\pi\) | ||||
−0.895604 | + | 0.444853i | \(0.853256\pi\) | |||||||
\(212\) | 26.3555 | − | 66.6795i | 0.124318 | − | 0.314526i | ||||
\(213\) | 207.703i | 0.975131i | ||||||||
\(214\) | 302.953 | − | 206.015i | 1.41567 | − | 0.962689i | ||||
\(215\) | 141.907 | − | 48.9812i | 0.660032 | − | 0.227820i | ||||
\(216\) | 224.057 | − | 50.2879i | 1.03730 | − | 0.232814i | ||||
\(217\) | −330.921 | − | 68.1384i | −1.52498 | − | 0.314002i | ||||
\(218\) | −206.348 | − | 303.442i | −0.946551 | − | 1.39194i | ||||
\(219\) | − | 225.415i | − | 1.02929i | ||||||
\(220\) | 283.692 | + | 12.5045i | 1.28951 | + | 0.0568387i | ||||
\(221\) | 59.0147i | 0.267035i | ||||||||
\(222\) | −122.820 | − | 180.611i | −0.553244 | − | 0.813565i | ||||
\(223\) | −315.595 | −1.41523 | −0.707613 | − | 0.706600i | \(-0.750228\pi\) | ||||
−0.707613 | + | 0.706600i | \(0.750228\pi\) | |||||||
\(224\) | −78.6356 | + | 209.744i | −0.351052 | + | 0.936356i | ||||
\(225\) | 28.3043 | − | 22.1820i | 0.125797 | − | 0.0985868i | ||||
\(226\) | −56.2681 | − | 82.7442i | −0.248974 | − | 0.366125i | ||||
\(227\) | − | 7.37331i | − | 0.0324815i | −0.999868 | − | 0.0162408i | \(-0.994830\pi\) | ||
0.999868 | − | 0.0162408i | \(-0.00516983\pi\) | |||||||
\(228\) | −193.825 | − | 76.6105i | −0.850110 | − | 0.336011i | ||||
\(229\) | 60.8674 | 0.265797 | 0.132898 | − | 0.991130i | \(-0.457572\pi\) | ||||
0.132898 | + | 0.991130i | \(0.457572\pi\) | |||||||
\(230\) | −92.8038 | − | 69.2759i | −0.403495 | − | 0.301200i | ||||
\(231\) | −55.1182 | + | 267.686i | −0.238607 | + | 1.15882i | ||||
\(232\) | 247.976 | − | 55.6562i | 1.06886 | − | 0.239897i | ||||
\(233\) | − | 336.839i | − | 1.44566i | −0.691024 | − | 0.722831i | \(-0.742840\pi\) | ||
0.691024 | − | 0.722831i | \(-0.257160\pi\) | |||||||
\(234\) | −9.53948 | − | 14.0281i | −0.0407670 | − | 0.0599493i | ||||
\(235\) | 393.859 | − | 135.946i | 1.67599 | − | 0.578494i | ||||
\(236\) | −161.291 | + | 408.068i | −0.683437 | + | 1.72910i | ||||
\(237\) | − | 246.611i | − | 1.04055i | ||||||
\(238\) | −53.8024 | − | 129.368i | −0.226061 | − | 0.543564i | ||||
\(239\) | 135.916 | 0.568688 | 0.284344 | − | 0.958722i | \(-0.408224\pi\) | ||||
0.284344 | + | 0.958722i | \(0.408224\pi\) | |||||||
\(240\) | −89.7940 | + | 200.826i | −0.374142 | + | 0.836775i | ||||
\(241\) | − | 67.8933i | − | 0.281715i | −0.990030 | − | 0.140857i | \(-0.955014\pi\) | ||
0.990030 | − | 0.140857i | \(-0.0449859\pi\) | |||||||
\(242\) | 133.289 | − | 90.6399i | 0.550782 | − | 0.374545i | ||||
\(243\) | − | 76.8876i | − | 0.316410i | ||||||
\(244\) | 52.1773 | − | 132.009i | 0.213841 | − | 0.541020i | ||||
\(245\) | −244.334 | − | 18.0584i | −0.997280 | − | 0.0737078i | ||||
\(246\) | 71.9345 | − | 48.9172i | 0.292417 | − | 0.198850i | ||||
\(247\) | 111.734i | 0.452364i | ||||||||
\(248\) | −376.756 | + | 84.5599i | −1.51918 | + | 0.340968i | ||||
\(249\) | −296.005 | −1.18878 | ||||||||
\(250\) | 5.86913 | + | 249.931i | 0.0234765 | + | 0.999724i | ||||
\(251\) | 224.184 | 0.893164 | 0.446582 | − | 0.894743i | \(-0.352641\pi\) | ||||
0.446582 | + | 0.894743i | \(0.352641\pi\) | |||||||
\(252\) | 33.7010 | + | 22.0546i | 0.133734 | + | 0.0875184i | ||||
\(253\) | −164.430 | −0.649921 | ||||||||
\(254\) | −93.0115 | − | 136.777i | −0.366187 | − | 0.538491i | ||||
\(255\) | −44.8954 | − | 130.069i | −0.176060 | − | 0.510076i | ||||
\(256\) | 16.6684 | + | 255.457i | 0.0651109 | + | 0.997878i | ||||
\(257\) | −55.9674 | −0.217772 | −0.108886 | − | 0.994054i | \(-0.534728\pi\) | ||||
−0.108886 | + | 0.994054i | \(0.534728\pi\) | |||||||
\(258\) | 92.8534 | + | 136.544i | 0.359897 | + | 0.529241i | ||||
\(259\) | 56.0657 | − | 272.288i | 0.216470 | − | 1.05131i | ||||
\(260\) | 117.822 | + | 5.19335i | 0.453163 | + | 0.0199744i | ||||
\(261\) | − | 45.6962i | − | 0.175081i | ||||||
\(262\) | 144.760 | − | 98.4403i | 0.552519 | − | 0.375726i | ||||
\(263\) | 74.4566i | 0.283105i | 0.989931 | + | 0.141552i | \(0.0452094\pi\) | ||||
−0.989931 | + | 0.141552i | \(0.954791\pi\) | |||||||
\(264\) | 68.4017 | + | 304.763i | 0.259098 | + | 1.15441i | ||||
\(265\) | 84.7192 | − | 29.2421i | 0.319695 | − | 0.110347i | ||||
\(266\) | −101.865 | − | 244.936i | −0.382952 | − | 0.920810i | ||||
\(267\) | −398.742 | −1.49342 | ||||||||
\(268\) | 65.5149 | − | 165.753i | 0.244459 | − | 0.618482i | ||||
\(269\) | −377.527 | −1.40345 | −0.701724 | − | 0.712449i | \(-0.747586\pi\) | ||||
−0.701724 | + | 0.712449i | \(0.747586\pi\) | |||||||
\(270\) | 230.020 | + | 171.704i | 0.851925 | + | 0.635942i | ||||
\(271\) | − | 463.315i | − | 1.70965i | −0.518915 | − | 0.854826i | \(-0.673664\pi\) | ||
0.518915 | − | 0.854826i | \(-0.326336\pi\) | |||||||
\(272\) | −116.854 | − | 109.478i | −0.429610 | − | 0.402492i | ||||
\(273\) | −22.8915 | + | 111.175i | −0.0838518 | + | 0.407234i | ||||
\(274\) | −69.2137 | − | 101.781i | −0.252605 | − | 0.371464i | ||||
\(275\) | 218.953 | + | 279.385i | 0.796193 | + | 1.01594i | ||||
\(276\) | 46.8236 | − | 118.464i | 0.169651 | − | 0.429217i | ||||
\(277\) | −319.935 | −1.15500 | −0.577500 | − | 0.816391i | \(-0.695972\pi\) | ||||
−0.577500 | + | 0.816391i | \(0.695972\pi\) | |||||||
\(278\) | 26.3278 | − | 17.9035i | 0.0947042 | − | 0.0644012i | ||||
\(279\) | 69.4275i | 0.248844i | ||||||||
\(280\) | −263.017 | + | 96.0315i | −0.939347 | + | 0.342970i | ||||
\(281\) | 398.504 | 1.41816 | 0.709081 | − | 0.705127i | \(-0.249110\pi\) | ||||
0.709081 | + | 0.705127i | \(0.249110\pi\) | |||||||
\(282\) | 257.712 | + | 378.975i | 0.913872 | + | 1.34388i | ||||
\(283\) | − | 211.268i | − | 0.746529i | −0.927725 | − | 0.373264i | \(-0.878238\pi\) | ||
0.927725 | − | 0.373264i | \(-0.121762\pi\) | |||||||
\(284\) | −111.059 | + | 280.980i | −0.391052 | + | 0.989365i | ||||
\(285\) | −85.0014 | − | 246.263i | −0.298250 | − | 0.864082i | ||||
\(286\) | 138.468 | − | 94.1617i | 0.484154 | − | 0.329237i | ||||
\(287\) | 108.448 | + | 22.3300i | 0.377867 | + | 0.0778050i | ||||
\(288\) | 45.4735 | + | 7.13457i | 0.157894 | + | 0.0247728i | ||||
\(289\) | −188.843 | −0.653435 | ||||||||
\(290\) | 254.574 | + | 190.034i | 0.877843 | + | 0.655289i | ||||
\(291\) | − | 36.9742i | − | 0.127059i | ||||||
\(292\) | 120.529 | − | 304.940i | 0.412772 | − | 1.04432i | ||||
\(293\) | 68.4081i | 0.233475i | 0.993163 | + | 0.116737i | \(0.0372436\pi\) | ||||
−0.993163 | + | 0.116737i | \(0.962756\pi\) | |||||||
\(294\) | −51.1743 | − | 264.580i | −0.174062 | − | 0.899932i | ||||
\(295\) | −518.468 | + | 178.957i | −1.75752 | + | 0.606633i | ||||
\(296\) | −69.5776 | − | 310.003i | −0.235060 | − | 1.04731i | ||||
\(297\) | 407.549 | 1.37222 | ||||||||
\(298\) | −63.3813 | − | 93.2045i | −0.212689 | − | 0.312767i | ||||
\(299\) | −68.2906 | −0.228397 | ||||||||
\(300\) | −263.633 | + | 78.1869i | −0.878778 | + | 0.260623i | ||||
\(301\) | −42.3863 | + | 205.853i | −0.140818 | + | 0.683896i | ||||
\(302\) | 84.3232 | − | 57.3418i | 0.279216 | − | 0.189874i | ||||
\(303\) | 126.160i | 0.416371i | ||||||||
\(304\) | −221.242 | − | 207.277i | −0.727771 | − | 0.681832i | ||||
\(305\) | 167.723 | − | 57.8920i | 0.549912 | − | 0.189810i | ||||
\(306\) | −23.8080 | + | 16.1900i | −0.0778038 | + | 0.0529085i | ||||
\(307\) | − | 127.999i | − | 0.416936i | −0.978029 | − | 0.208468i | \(-0.933152\pi\) | ||
0.978029 | − | 0.208468i | \(-0.0668477\pi\) | |||||||
\(308\) | −217.696 | + | 332.653i | −0.706804 | + | 1.08004i | ||||
\(309\) | 283.988i | 0.919056i | ||||||||
\(310\) | −386.782 | − | 288.724i | −1.24768 | − | 0.931367i | ||||
\(311\) | − | 460.410i | − | 1.48042i | −0.672376 | − | 0.740210i | \(-0.734726\pi\) | ||
0.672376 | − | 0.740210i | \(-0.265274\pi\) | |||||||
\(312\) | 28.4084 | + | 126.574i | 0.0910527 | + | 0.405685i | ||||
\(313\) | −158.669 | −0.506930 | −0.253465 | − | 0.967345i | \(-0.581570\pi\) | ||||
−0.253465 | + | 0.967345i | \(0.581570\pi\) | |||||||
\(314\) | −250.224 | − | 367.963i | −0.796891 | − | 1.17186i | ||||
\(315\) | 6.49114 | + | 49.9249i | 0.0206068 | + | 0.158492i | ||||
\(316\) | 131.863 | − | 333.615i | 0.417289 | − | 1.05574i | ||||
\(317\) | −298.341 | −0.941138 | −0.470569 | − | 0.882363i | \(-0.655951\pi\) | ||||
−0.470569 | + | 0.882363i | \(0.655951\pi\) | |||||||
\(318\) | 55.4340 | + | 81.5177i | 0.174321 | + | 0.256345i | ||||
\(319\) | 451.055 | 1.41397 | ||||||||
\(320\) | −228.855 | + | 223.664i | −0.715171 | + | 0.698949i | ||||
\(321\) | 503.720i | 1.56922i | ||||||||
\(322\) | 149.702 | − | 62.2590i | 0.464914 | − | 0.193351i | ||||
\(323\) | 189.630 | 0.587090 | ||||||||
\(324\) | −97.0202 | + | 245.462i | −0.299445 | + | 0.757598i | ||||
\(325\) | 90.9351 | + | 116.033i | 0.279800 | + | 0.357026i | ||||
\(326\) | 115.392 | − | 78.4696i | 0.353964 | − | 0.240704i | ||||
\(327\) | 504.533 | 1.54292 | ||||||||
\(328\) | 123.469 | − | 27.7116i | 0.376429 | − | 0.0844866i | ||||
\(329\) | −117.642 | + | 571.339i | −0.357574 | + | 1.73659i | ||||
\(330\) | −233.553 | + | 312.873i | −0.707736 | + | 0.948101i | ||||
\(331\) | 255.386i | 0.771558i | 0.922591 | + | 0.385779i | \(0.126067\pi\) | ||||
−0.922591 | + | 0.385779i | \(0.873933\pi\) | |||||||
\(332\) | −400.435 | − | 158.274i | −1.20613 | − | 0.476729i | ||||
\(333\) | −57.1263 | −0.171551 | ||||||||
\(334\) | 61.1558 | − | 41.5874i | 0.183101 | − | 0.124513i | ||||
\(335\) | 210.597 | − | 72.6906i | 0.628647 | − | 0.216987i | ||||
\(336\) | −177.669 | − | 251.567i | −0.528778 | − | 0.748711i | ||||
\(337\) | 98.5741i | 0.292505i | 0.989247 | + | 0.146252i | \(0.0467212\pi\) | ||||
−0.989247 | + | 0.146252i | \(0.953279\pi\) | |||||||
\(338\) | −221.990 | + | 150.958i | −0.656774 | + | 0.446623i | ||||
\(339\) | 137.579 | 0.405837 | ||||||||
\(340\) | 8.81393 | − | 199.963i | 0.0259233 | − | 0.588127i | ||||
\(341\) | −685.301 | −2.00968 | ||||||||
\(342\) | −45.0761 | + | 30.6529i | −0.131802 | + | 0.0896283i | ||||
\(343\) | 196.269 | − | 281.296i | 0.572214 | − | 0.820104i | ||||
\(344\) | 52.6014 | + | 234.365i | 0.152911 | + | 0.681294i | ||||
\(345\) | 150.514 | − | 51.9520i | 0.436272 | − | 0.150586i | ||||
\(346\) | 125.679 | + | 184.816i | 0.363235 | + | 0.534151i | ||||
\(347\) | −367.417 | −1.05884 | −0.529420 | − | 0.848360i | \(-0.677590\pi\) | ||||
−0.529420 | + | 0.848360i | \(0.677590\pi\) | |||||||
\(348\) | −128.444 | + | 324.964i | −0.369092 | + | 0.933805i | ||||
\(349\) | 170.008 | 0.487128 | 0.243564 | − | 0.969885i | \(-0.421683\pi\) | ||||
0.243564 | + | 0.969885i | \(0.421683\pi\) | |||||||
\(350\) | −305.127 | − | 171.457i | −0.871791 | − | 0.489878i | ||||
\(351\) | 169.262 | 0.482229 | ||||||||
\(352\) | −70.4235 | + | 448.857i | −0.200067 | + | 1.27516i | ||||
\(353\) | 573.815 | 1.62554 | 0.812769 | − | 0.582587i | \(-0.197959\pi\) | ||||
0.812769 | + | 0.582587i | \(0.197959\pi\) | |||||||
\(354\) | −339.247 | − | 498.875i | −0.958326 | − | 1.40925i | ||||
\(355\) | −356.997 | + | 123.223i | −1.00563 | + | 0.347106i | ||||
\(356\) | −539.417 | − | 213.208i | −1.51522 | − | 0.598898i | ||||
\(357\) | 188.681 | + | 38.8506i | 0.528519 | + | 0.108825i | ||||
\(358\) | 177.532 | + | 261.067i | 0.495899 | + | 0.729237i | ||||
\(359\) | −130.637 | −0.363890 | −0.181945 | − | 0.983309i | \(-0.558239\pi\) | ||||
−0.181945 | + | 0.983309i | \(0.558239\pi\) | |||||||
\(360\) | 30.2280 | + | 48.9571i | 0.0839668 | + | 0.135992i | ||||
\(361\) | −1.96954 | −0.00545579 | ||||||||
\(362\) | −147.416 | + | 100.247i | −0.407228 | + | 0.276925i | ||||
\(363\) | 221.620i | 0.610523i | ||||||||
\(364\) | −90.4128 | + | 138.157i | −0.248387 | + | 0.379552i | ||||
\(365\) | 387.440 | − | 133.731i | 1.06148 | − | 0.366385i | ||||
\(366\) | 109.746 | + | 161.385i | 0.299851 | + | 0.440942i | ||||
\(367\) | −338.502 | −0.922349 | −0.461175 | − | 0.887309i | \(-0.652572\pi\) | ||||
−0.461175 | + | 0.887309i | \(0.652572\pi\) | |||||||
\(368\) | 126.686 | − | 135.221i | 0.344254 | − | 0.367449i | ||||
\(369\) | − | 22.7525i | − | 0.0616598i | ||||||
\(370\) | 237.568 | − | 318.252i | 0.642075 | − | 0.860141i | ||||
\(371\) | −25.3049 | + | 122.895i | −0.0682071 | + | 0.331254i | ||||
\(372\) | 195.148 | − | 493.727i | 0.524592 | − | 1.32722i | ||||
\(373\) | 433.913 | 1.16330 | 0.581652 | − | 0.813438i | \(-0.302406\pi\) | ||||
0.581652 | + | 0.813438i | \(0.302406\pi\) | |||||||
\(374\) | −159.807 | − | 235.002i | −0.427292 | − | 0.628348i | ||||
\(375\) | −288.695 | − | 186.561i | −0.769852 | − | 0.497495i | ||||
\(376\) | 145.994 | + | 650.474i | 0.388282 | + | 1.72998i | ||||
\(377\) | 187.331 | 0.496900 | ||||||||
\(378\) | −371.046 | + | 154.313i | −0.981602 | + | 0.408235i | ||||
\(379\) | − | 2.34294i | − | 0.00618191i | −0.999995 | − | 0.00309096i | \(-0.999016\pi\) | ||
0.999995 | − | 0.00309096i | \(-0.000983883\pi\) | |||||||
\(380\) | 16.6876 | − | 378.594i | 0.0439147 | − | 0.996301i | ||||
\(381\) | 227.419 | 0.596900 | ||||||||
\(382\) | 169.222 | − | 115.075i | 0.442988 | − | 0.301243i | ||||
\(383\) | 752.048 | 1.96357 | 0.981786 | − | 0.189992i | \(-0.0608461\pi\) | ||||
0.981786 | + | 0.189992i | \(0.0608461\pi\) | |||||||
\(384\) | −303.326 | − | 178.555i | −0.789913 | − | 0.464986i | ||||
\(385\) | −492.795 | + | 64.0724i | −1.27999 | + | 0.166422i | ||||
\(386\) | 159.503 | + | 234.555i | 0.413220 | + | 0.607656i | ||||
\(387\) | 43.1881 | 0.111597 | ||||||||
\(388\) | 19.7701 | − | 50.0186i | 0.0509540 | − | 0.128914i | ||||
\(389\) | 365.187i | 0.938784i | 0.882990 | + | 0.469392i | \(0.155527\pi\) | ||||
−0.882990 | + | 0.469392i | \(0.844473\pi\) | |||||||
\(390\) | −96.9986 | + | 129.942i | −0.248714 | + | 0.333184i | ||||
\(391\) | 115.900i | 0.296419i | ||||||||
\(392\) | 72.2426 | − | 385.286i | 0.184292 | − | 0.982871i | ||||
\(393\) | 240.692i | 0.612449i | ||||||||
\(394\) | 84.4026 | − | 57.3958i | 0.214220 | − | 0.145675i | ||||
\(395\) | 423.873 | − | 146.306i | 1.07310 | − | 0.370394i | ||||
\(396\) | 75.9742 | + | 30.0292i | 0.191854 | + | 0.0758314i | ||||
\(397\) | − | 675.156i | − | 1.70064i | −0.526262 | − | 0.850322i | \(-0.676407\pi\) | ||
0.526262 | − | 0.850322i | \(-0.323593\pi\) | |||||||
\(398\) | 84.8850 | + | 124.826i | 0.213279 | + | 0.313634i | ||||
\(399\) | 357.234 | + | 73.5566i | 0.895324 | + | 0.184352i | ||||
\(400\) | −398.449 | − | 35.1938i | −0.996122 | − | 0.0879846i | ||||
\(401\) | 719.884 | 1.79522 | 0.897611 | − | 0.440789i | \(-0.145301\pi\) | ||||
0.897611 | + | 0.440789i | \(0.145301\pi\) | |||||||
\(402\) | 137.799 | + | 202.638i | 0.342784 | + | 0.504076i | ||||
\(403\) | −284.617 | −0.706247 | ||||||||
\(404\) | −67.4581 | + | 170.669i | −0.166975 | + | 0.422449i | ||||
\(405\) | −311.870 | + | 107.646i | −0.770049 | + | 0.265794i | ||||
\(406\) | −410.655 | + | 170.786i | −1.01147 | + | 0.420654i | ||||
\(407\) | − | 563.879i | − | 1.38545i | ||||||
\(408\) | 214.815 | − | 48.2136i | 0.526508 | − | 0.118171i | ||||
\(409\) | 352.382i | 0.861570i | 0.902455 | + | 0.430785i | \(0.141763\pi\) | ||||
−0.902455 | + | 0.430785i | \(0.858237\pi\) | |||||||
\(410\) | 126.754 | + | 94.6193i | 0.309157 | + | 0.230779i | ||||
\(411\) | 169.232 | 0.411756 | ||||||||
\(412\) | −151.849 | + | 384.178i | −0.368565 | + | 0.932471i | ||||
\(413\) | 154.862 | − | 752.100i | 0.374968 | − | 1.82107i | ||||
\(414\) | −18.7347 | − | 27.5501i | −0.0452530 | − | 0.0665461i | ||||
\(415\) | −175.609 | − | 508.770i | −0.423155 | − | 1.22595i | ||||
\(416\) | −29.2481 | + | 186.418i | −0.0703080 | + | 0.448121i | ||||
\(417\) | 43.7752i | 0.104976i | ||||||||
\(418\) | −302.567 | − | 444.935i | −0.723843 | − | 1.06444i | ||||
\(419\) | 207.738 | 0.495795 | 0.247898 | − | 0.968786i | \(-0.420260\pi\) | ||||
0.247898 | + | 0.968786i | \(0.420260\pi\) | |||||||
\(420\) | 94.1688 | − | 373.281i | 0.224212 | − | 0.888765i | ||||
\(421\) | − | 480.271i | − | 1.14079i | −0.821372 | − | 0.570393i | \(-0.806791\pi\) | ||
0.821372 | − | 0.570393i | \(-0.193209\pi\) | |||||||
\(422\) | −211.128 | − | 310.471i | −0.500303 | − | 0.735713i | ||||
\(423\) | 119.867 | 0.283375 | ||||||||
\(424\) | 31.4034 | + | 139.917i | 0.0740646 | + | 0.329994i | ||||
\(425\) | 196.927 | − | 154.331i | 0.463357 | − | 0.363132i | ||||
\(426\) | −233.592 | − | 343.506i | −0.548339 | − | 0.806352i | ||||
\(427\) | −50.0973 | + | 243.302i | −0.117324 | + | 0.569794i | ||||
\(428\) | −269.339 | + | 681.431i | −0.629298 | + | 1.59213i | ||||
\(429\) | 230.231i | 0.536669i | ||||||||
\(430\) | −179.604 | + | 240.602i | −0.417683 | + | 0.559539i | ||||
\(431\) | −362.214 | −0.840405 | −0.420202 | − | 0.907430i | \(-0.638041\pi\) | ||||
−0.420202 | + | 0.907430i | \(0.638041\pi\) | |||||||
\(432\) | −313.998 | + | 335.153i | −0.726846 | + | 0.775818i | ||||
\(433\) | −603.870 | −1.39462 | −0.697309 | − | 0.716771i | \(-0.745619\pi\) | ||||
−0.697309 | + | 0.716771i | \(0.745619\pi\) | |||||||
\(434\) | 623.919 | − | 259.479i | 1.43760 | − | 0.597879i | ||||
\(435\) | −412.881 | + | 142.512i | −0.949152 | + | 0.327614i | ||||
\(436\) | 682.531 | + | 269.774i | 1.56544 | + | 0.618749i | ||||
\(437\) | 219.436i | 0.502142i | ||||||||
\(438\) | 253.512 | + | 372.799i | 0.578795 | + | 0.851139i | ||||
\(439\) | − | 173.388i | − | 0.394961i | −0.980307 | − | 0.197480i | \(-0.936724\pi\) | ||
0.980307 | − | 0.197480i | \(-0.0632759\pi\) | |||||||
\(440\) | −483.243 | + | 298.373i | −1.09828 | + | 0.678121i | ||||
\(441\) | −64.7496 | − | 27.8452i | −0.146825 | − | 0.0631410i | ||||
\(442\) | −66.3708 | − | 97.6006i | −0.150160 | − | 0.220816i | ||||
\(443\) | 350.334 | 0.790821 | 0.395410 | − | 0.918505i | \(-0.370602\pi\) | ||||
0.395410 | + | 0.918505i | \(0.370602\pi\) | |||||||
\(444\) | 406.248 | + | 160.572i | 0.914974 | + | 0.361649i | ||||
\(445\) | −236.560 | − | 685.353i | −0.531595 | − | 1.54012i | ||||
\(446\) | 521.943 | − | 354.934i | 1.17027 | − | 0.795815i | ||||
\(447\) | 154.971 | 0.346692 | ||||||||
\(448\) | −105.838 | − | 435.319i | −0.236245 | − | 0.971694i | ||||
\(449\) | −768.172 | −1.71085 | −0.855426 | − | 0.517926i | \(-0.826704\pi\) | ||||
−0.855426 | + | 0.517926i | \(0.826704\pi\) | |||||||
\(450\) | −21.8637 | + | 68.5178i | −0.0485860 | + | 0.152262i | ||||
\(451\) | 224.584 | 0.497968 | ||||||||
\(452\) | 186.116 | + | 73.5635i | 0.411761 | + | 0.162751i | ||||
\(453\) | 140.204i | 0.309502i | ||||||||
\(454\) | 8.29238 | + | 12.1942i | 0.0182651 | + | 0.0268595i | ||||
\(455\) | −204.667 | + | 26.6104i | −0.449817 | + | 0.0584844i | ||||
\(456\) | 406.714 | − | 91.2839i | 0.891918 | − | 0.200184i | ||||
\(457\) | 375.067i | 0.820716i | 0.911925 | + | 0.410358i | \(0.134596\pi\) | ||||
−0.911925 | + | 0.410358i | \(0.865404\pi\) | |||||||
\(458\) | −100.665 | + | 68.4544i | −0.219792 | + | 0.149464i | ||||
\(459\) | − | 287.265i | − | 0.625849i | ||||||
\(460\) | 231.393 | + | 10.1993i | 0.503029 | + | 0.0221724i | ||||
\(461\) | −39.7150 | −0.0861497 | −0.0430748 | − | 0.999072i | \(-0.513715\pi\) | ||||
−0.0430748 | + | 0.999072i | \(0.513715\pi\) | |||||||
\(462\) | −209.896 | − | 504.697i | −0.454321 | − | 1.09242i | ||||
\(463\) | 22.9529i | 0.0495743i | 0.999693 | + | 0.0247872i | \(0.00789081\pi\) | ||||
−0.999693 | + | 0.0247872i | \(0.992109\pi\) | |||||||
\(464\) | −347.517 | + | 370.931i | −0.748959 | + | 0.799421i | ||||
\(465\) | 627.302 | − | 216.522i | 1.34904 | − | 0.465639i | ||||
\(466\) | 378.826 | + | 557.077i | 0.812931 | + | 1.19544i | ||||
\(467\) | 41.0354i | 0.0878702i | 0.999034 | + | 0.0439351i | \(0.0139895\pi\) | ||||
−0.999034 | + | 0.0439351i | \(0.986011\pi\) | |||||||
\(468\) | 31.5534 | + | 12.4717i | 0.0674219 | + | 0.0266489i | ||||
\(469\) | −62.9033 | + | 305.496i | −0.134122 | + | 0.651377i | ||||
\(470\) | −498.485 | + | 667.784i | −1.06061 | + | 1.42082i | ||||
\(471\) | 611.812 | 1.29896 | ||||||||
\(472\) | −192.184 | − | 856.273i | −0.407169 | − | 1.81414i | ||||
\(473\) | 426.299i | 0.901266i | ||||||||
\(474\) | 277.351 | + | 407.855i | 0.585129 | + | 0.860453i | ||||
\(475\) | 372.846 | − | 292.198i | 0.784939 | − | 0.615155i | ||||
\(476\) | 234.474 | + | 153.445i | 0.492592 | + | 0.322363i | ||||
\(477\) | 25.7836 | 0.0540536 | ||||||||
\(478\) | −224.783 | + | 152.858i | −0.470258 | + | 0.319787i | ||||
\(479\) | − | 740.675i | − | 1.54629i | −0.634227 | − | 0.773147i | \(-0.718681\pi\) | ||
0.634227 | − | 0.773147i | \(-0.281319\pi\) | |||||||
\(480\) | −77.3541 | − | 433.120i | −0.161154 | − | 0.902332i | ||||
\(481\) | − | 234.189i | − | 0.486879i | ||||||
\(482\) | 76.3560 | + | 112.284i | 0.158415 | + | 0.232955i | ||||
\(483\) | −44.9571 | + | 218.338i | −0.0930788 | + | 0.452046i | ||||
\(484\) | −118.500 | + | 299.807i | −0.244835 | + | 0.619435i | ||||
\(485\) | 63.5509 | − | 21.9355i | 0.131033 | − | 0.0452278i | ||||
\(486\) | 86.4714 | + | 127.159i | 0.177925 | + | 0.261645i | ||||
\(487\) | 701.882i | 1.44124i | 0.693332 | + | 0.720618i | \(0.256142\pi\) | ||||
−0.693332 | + | 0.720618i | \(0.743858\pi\) | |||||||
\(488\) | 62.1709 | + | 277.002i | 0.127399 | + | 0.567627i | ||||
\(489\) | 191.863i | 0.392358i | ||||||||
\(490\) | 424.397 | − | 244.924i | 0.866116 | − | 0.499844i | ||||
\(491\) | − | 725.694i | − | 1.47799i | −0.673709 | − | 0.738996i | \(-0.735300\pi\) | ||
0.673709 | − | 0.738996i | \(-0.264700\pi\) | |||||||
\(492\) | −63.9532 | + | 161.802i | −0.129986 | + | 0.328866i | ||||
\(493\) | − | 317.931i | − | 0.644890i | ||||||
\(494\) | −125.661 | − | 184.789i | −0.254375 | − | 0.374067i | ||||
\(495\) | 33.3182 | + | 96.5286i | 0.0673096 | + | 0.195007i | ||||
\(496\) | 527.992 | − | 563.566i | 1.06450 | − | 1.13622i | ||||
\(497\) | 106.632 | − | 517.867i | 0.214551 | − | 1.04199i | ||||
\(498\) | 489.544 | − | 332.902i | 0.983019 | − | 0.668477i | ||||
\(499\) | − | 624.305i | − | 1.25111i | −0.780179 | − | 0.625556i | \(-0.784872\pi\) | ||
0.780179 | − | 0.625556i | \(-0.215128\pi\) | |||||||
\(500\) | −290.791 | − | 406.744i | −0.581582 | − | 0.813488i | ||||
\(501\) | 101.684i | 0.202962i | ||||||||
\(502\) | −370.763 | + | 252.128i | −0.738572 | + | 0.502247i | ||||
\(503\) | −419.530 | −0.834057 | −0.417028 | − | 0.908894i | \(-0.636928\pi\) | ||||
−0.417028 | + | 0.908894i | \(0.636928\pi\) | |||||||
\(504\) | −80.5395 | + | 1.42697i | −0.159801 | + | 0.00283129i | ||||
\(505\) | −216.843 | + | 74.8465i | −0.429392 | + | 0.148211i | ||||
\(506\) | 271.940 | − | 184.926i | 0.537431 | − | 0.365466i | ||||
\(507\) | − | 369.102i | − | 0.728013i | ||||||
\(508\) | 307.651 | + | 121.601i | 0.605613 | + | 0.239372i | ||||
\(509\) | 312.970 | 0.614872 | 0.307436 | − | 0.951569i | \(-0.400529\pi\) | ||||
0.307436 | + | 0.951569i | \(0.400529\pi\) | |||||||
\(510\) | 220.532 | + | 164.622i | 0.432415 | + | 0.322788i | ||||
\(511\) | −115.725 | + | 562.028i | −0.226467 | + | 1.09986i | ||||
\(512\) | −314.866 | − | 403.737i | −0.614972 | − | 0.788549i | ||||
\(513\) | − | 543.885i | − | 1.06020i | ||||||
\(514\) | 92.5609 | − | 62.9436i | 0.180080 | − | 0.122458i | ||||
\(515\) | −488.115 | + | 168.480i | −0.947797 | + | 0.327146i | ||||
\(516\) | −307.128 | − | 121.394i | −0.595210 | − | 0.235260i | ||||
\(517\) | 1183.18i | 2.28855i | ||||||||
\(518\) | 213.505 | + | 513.374i | 0.412171 | + | 0.991069i | ||||
\(519\) | −307.294 | −0.592088 | ||||||||
\(520\) | −200.699 | + | 123.920i | −0.385960 | + | 0.238307i | ||||
\(521\) | 519.109i | 0.996370i | 0.867071 | + | 0.498185i | \(0.166000\pi\) | ||||
−0.867071 | + | 0.498185i | \(0.834000\pi\) | |||||||
\(522\) | 51.3921 | + | 75.5739i | 0.0984523 | + | 0.144778i | ||||
\(523\) | 422.665i | 0.808155i | 0.914725 | + | 0.404078i | \(0.132407\pi\) | ||||
−0.914725 | + | 0.404078i | \(0.867593\pi\) | |||||||
\(524\) | −128.698 | + | 325.608i | −0.245608 | + | 0.621389i | ||||
\(525\) | 430.845 | − | 214.350i | 0.820657 | − | 0.408285i | ||||
\(526\) | −83.7374 | − | 123.139i | −0.159197 | − | 0.234104i | ||||
\(527\) | 483.041i | 0.916586i | ||||||||
\(528\) | −455.876 | − | 427.100i | −0.863402 | − | 0.808902i | ||||
\(529\) | 394.883 | 0.746471 | ||||||||
\(530\) | −107.225 | + | 143.641i | −0.202310 | + | 0.271020i | ||||
\(531\) | −157.791 | −0.297159 | ||||||||
\(532\) | 443.934 | + | 290.520i | 0.834463 | + | 0.546091i | ||||
\(533\) | 93.2735 | 0.174997 | ||||||||
\(534\) | 659.454 | − | 448.445i | 1.23493 | − | 0.839784i | ||||
\(535\) | −865.787 | + | 298.839i | −1.61829 | + | 0.558578i | ||||
\(536\) | 78.0632 | + | 347.810i | 0.145640 | + | 0.648899i | ||||
\(537\) | −434.076 | −0.808335 | ||||||||
\(538\) | 624.368 | − | 424.585i | 1.16053 | − | 0.789192i | ||||
\(539\) | 274.853 | − | 639.127i | 0.509931 | − | 1.18576i | ||||
\(540\) | −573.521 | − | 25.2795i | −1.06208 | − | 0.0468140i | ||||
\(541\) | − | 423.091i | − | 0.782053i | −0.920379 | − | 0.391026i | \(-0.872120\pi\) | ||
0.920379 | − | 0.391026i | \(-0.127880\pi\) | |||||||
\(542\) | 521.067 | + | 766.247i | 0.961377 | + | 1.41374i | ||||
\(543\) | − | 245.109i | − | 0.451398i | ||||||
\(544\) | 316.381 | + | 49.6387i | 0.581583 | + | 0.0912476i | ||||
\(545\) | 299.322 | + | 867.186i | 0.549214 | + | 1.59117i | ||||
\(546\) | −87.1737 | − | 209.610i | −0.159659 | − | 0.383901i | ||||
\(547\) | 451.054 | 0.824597 | 0.412298 | − | 0.911049i | \(-0.364726\pi\) | ||||
0.412298 | + | 0.911049i | \(0.364726\pi\) | |||||||
\(548\) | 228.936 | + | 90.4882i | 0.417766 | + | 0.165125i | ||||
\(549\) | 51.0450 | 0.0929782 | ||||||||
\(550\) | −676.321 | − | 215.811i | −1.22968 | − | 0.392383i | ||||
\(551\) | − | 601.945i | − | 1.09246i | ||||||
\(552\) | 55.7918 | + | 248.580i | 0.101072 | + | 0.450326i | ||||
\(553\) | −126.607 | + | 614.878i | −0.228945 | + | 1.11189i | ||||
\(554\) | 529.119 | − | 359.814i | 0.955089 | − | 0.649484i | ||||
\(555\) | 178.159 | + | 516.156i | 0.321007 | + | 0.930012i | ||||
\(556\) | −23.4066 | + | 59.2189i | −0.0420982 | + | 0.106509i | ||||
\(557\) | −263.706 | −0.473439 | −0.236720 | − | 0.971578i | \(-0.576072\pi\) | ||||
−0.236720 | + | 0.971578i | \(0.576072\pi\) | |||||||
\(558\) | −78.0814 | − | 114.822i | −0.139931 | − | 0.205773i | ||||
\(559\) | 177.049i | 0.316725i | ||||||||
\(560\) | 326.985 | − | 454.622i | 0.583902 | − | 0.811824i | ||||
\(561\) | 390.738 | 0.696503 | ||||||||
\(562\) | −659.059 | + | 448.176i | −1.17270 | + | 0.797467i | ||||
\(563\) | − | 529.494i | − | 0.940487i | −0.882537 | − | 0.470244i | \(-0.844166\pi\) | ||
0.882537 | − | 0.470244i | \(-0.155834\pi\) | |||||||
\(564\) | −852.426 | − | 336.926i | −1.51139 | − | 0.597387i | ||||
\(565\) | 81.6206 | + | 236.469i | 0.144461 | + | 0.418529i | ||||
\(566\) | 237.602 | + | 349.402i | 0.419791 | + | 0.617317i | ||||
\(567\) | 93.1527 | − | 452.404i | 0.164290 | − | 0.797892i | ||||
\(568\) | −132.330 | − | 589.596i | −0.232976 | − | 1.03802i | ||||
\(569\) | −605.747 | −1.06458 | −0.532291 | − | 0.846562i | \(-0.678669\pi\) | ||||
−0.532291 | + | 0.846562i | \(0.678669\pi\) | |||||||
\(570\) | 417.538 | + | 311.682i | 0.732522 | + | 0.546811i | ||||
\(571\) | 618.848i | 1.08380i | 0.840444 | + | 0.541898i | \(0.182294\pi\) | ||||
−0.840444 | + | 0.541898i | \(0.817706\pi\) | |||||||
\(572\) | −123.105 | + | 311.456i | −0.215218 | + | 0.544503i | ||||
\(573\) | 281.365i | 0.491038i | ||||||||
\(574\) | −204.468 | + | 85.0354i | −0.356216 | + | 0.148145i | ||||
\(575\) | 178.589 | + | 227.880i | 0.310589 | + | 0.396313i | ||||
\(576\) | −83.2295 | + | 39.3423i | −0.144496 | + | 0.0683025i | ||||
\(577\) | −98.2803 | −0.170330 | −0.0851649 | − | 0.996367i | \(-0.527142\pi\) | ||||
−0.0851649 | + | 0.996367i | \(0.527142\pi\) | |||||||
\(578\) | 312.315 | − | 212.381i | 0.540337 | − | 0.367442i | ||||
\(579\) | −389.995 | −0.673566 | ||||||||
\(580\) | −634.745 | − | 27.9781i | −1.09439 | − | 0.0482382i | ||||
\(581\) | 738.031 | + | 151.965i | 1.27028 | + | 0.261557i | ||||
\(582\) | 41.5830 | + | 61.1493i | 0.0714484 | + | 0.105067i | ||||
\(583\) | 254.503i | 0.436540i | ||||||||
\(584\) | 143.615 | + | 639.874i | 0.245916 | + | 1.09567i | ||||
\(585\) | 13.8377 | + | 40.0900i | 0.0236541 | + | 0.0685299i | ||||
\(586\) | −76.9350 | − | 113.136i | −0.131288 | − | 0.193064i | ||||
\(587\) | 191.410i | 0.326081i | 0.986619 | + | 0.163041i | \(0.0521301\pi\) | ||||
−0.986619 | + | 0.163041i | \(0.947870\pi\) | |||||||
\(588\) | 382.193 | + | 380.018i | 0.649988 | + | 0.646290i | ||||
\(589\) | 914.551i | 1.55272i | ||||||||
\(590\) | 656.197 | − | 879.059i | 1.11220 | − | 1.48993i | ||||
\(591\) | 140.336i | 0.237456i | ||||||||
\(592\) | 463.713 | + | 434.442i | 0.783300 | + | 0.733856i | ||||
\(593\) | −926.369 | −1.56217 | −0.781087 | − | 0.624423i | \(-0.785334\pi\) | ||||
−0.781087 | + | 0.624423i | \(0.785334\pi\) | |||||||
\(594\) | −674.019 | + | 458.349i | −1.13471 | + | 0.771632i | ||||
\(595\) | 45.1620 | + | 347.352i | 0.0759026 | + | 0.583784i | ||||
\(596\) | 209.644 | + | 82.8631i | 0.351752 | + | 0.139032i | ||||
\(597\) | −207.549 | −0.347653 | ||||||||
\(598\) | 112.941 | − | 76.8029i | 0.188865 | − | 0.128433i | ||||
\(599\) | 378.246 | 0.631462 | 0.315731 | − | 0.948849i | \(-0.397750\pi\) | ||||
0.315731 | + | 0.948849i | \(0.397750\pi\) | |||||||
\(600\) | 348.073 | − | 425.803i | 0.580122 | − | 0.709671i | ||||
\(601\) | − | 893.893i | − | 1.48734i | −0.668545 | − | 0.743671i | \(-0.733083\pi\) | ||
0.668545 | − | 0.743671i | \(-0.266917\pi\) | |||||||
\(602\) | −161.412 | − | 388.116i | −0.268126 | − | 0.644711i | ||||
\(603\) | 64.0933 | 0.106291 | ||||||||
\(604\) | −74.9673 | + | 189.668i | −0.124118 | + | 0.314019i | ||||
\(605\) | −380.917 | + | 131.479i | −0.629616 | + | 0.217321i | ||||
\(606\) | −141.886 | − | 208.649i | −0.234135 | − | 0.344304i | ||||
\(607\) | −433.820 | −0.714696 | −0.357348 | − | 0.933971i | \(-0.616319\pi\) | ||||
−0.357348 | + | 0.933971i | \(0.616319\pi\) | |||||||
\(608\) | 599.011 | + | 93.9820i | 0.985216 | + | 0.154576i | ||||
\(609\) | 123.324 | − | 598.933i | 0.202502 | − | 0.983470i | ||||
\(610\) | −212.278 | + | 284.373i | −0.347997 | + | 0.466185i | ||||
\(611\) | 491.396i | 0.804248i | ||||||||
\(612\) | 21.1664 | − | 53.5511i | 0.0345856 | − | 0.0875019i | ||||
\(613\) | 202.703 | 0.330674 | 0.165337 | − | 0.986237i | \(-0.447129\pi\) | ||||
0.165337 | + | 0.986237i | \(0.447129\pi\) | |||||||
\(614\) | 143.954 | + | 211.690i | 0.234453 | + | 0.344772i | ||||
\(615\) | −205.576 | + | 70.9577i | −0.334271 | + | 0.115378i | ||||
\(616\) | −14.0852 | − | 794.985i | −0.0228656 | − | 1.29056i | ||||
\(617\) | − | 952.378i | − | 1.54356i | −0.635888 | − | 0.771781i | \(-0.719366\pi\) | ||
0.635888 | − | 0.771781i | \(-0.280634\pi\) | |||||||
\(618\) | −319.387 | − | 469.669i | −0.516807 | − | 0.759983i | ||||
\(619\) | −742.737 | −1.19990 | −0.599949 | − | 0.800038i | \(-0.704813\pi\) | ||||
−0.599949 | + | 0.800038i | \(0.704813\pi\) | |||||||
\(620\) | 964.386 | + | 42.5080i | 1.55546 | + | 0.0685612i | ||||
\(621\) | 332.417 | 0.535293 | ||||||||
\(622\) | 517.799 | + | 761.443i | 0.832475 | + | 1.22418i | ||||
\(623\) | 994.187 | + | 204.709i | 1.59581 | + | 0.328585i | ||||
\(624\) | −189.334 | − | 177.382i | −0.303419 | − | 0.284266i | ||||
\(625\) | 149.386 | − | 606.885i | 0.239018 | − | 0.971015i | ||||
\(626\) | 262.413 | − | 178.447i | 0.419189 | − | 0.285059i | ||||
\(627\) | 739.793 | 1.17989 | ||||||||
\(628\) | 827.657 | + | 327.136i | 1.31793 | + | 0.520918i | ||||
\(629\) | −397.456 | −0.631885 | ||||||||
\(630\) | −66.8831 | − | 75.2672i | −0.106164 | − | 0.119472i | ||||
\(631\) | 707.912 | 1.12189 | 0.560944 | − | 0.827854i | \(-0.310438\pi\) | ||||
0.560944 | + | 0.827854i | \(0.310438\pi\) | |||||||
\(632\) | 157.119 | + | 700.044i | 0.248607 | + | 1.10766i | ||||
\(633\) | 516.220 | 0.815513 | ||||||||
\(634\) | 493.406 | − | 335.528i | 0.778244 | − | 0.529225i | ||||
\(635\) | 134.919 | + | 390.884i | 0.212472 | + | 0.615566i | ||||
\(636\) | −183.357 | − | 72.4730i | −0.288298 | − | 0.113951i | ||||
\(637\) | 114.151 | − | 265.441i | 0.179201 | − | 0.416704i | ||||
\(638\) | −745.971 | + | 507.278i | −1.16923 | + | 0.795107i | ||||
\(639\) | −108.649 | −0.170030 | ||||||||
\(640\) | 126.945 | − | 627.284i | 0.198351 | − | 0.980131i | ||||
\(641\) | −256.060 | −0.399470 | −0.199735 | − | 0.979850i | \(-0.564008\pi\) | ||||
−0.199735 | + | 0.979850i | \(0.564008\pi\) | |||||||
\(642\) | −566.507 | − | 833.069i | −0.882410 | − | 1.29762i | ||||
\(643\) | 743.551i | 1.15638i | 0.815903 | + | 0.578189i | \(0.196240\pi\) | ||||
−0.815903 | + | 0.578189i | \(0.803760\pi\) | |||||||
\(644\) | −177.563 | + | 271.328i | −0.275719 | + | 0.421317i | ||||
\(645\) | −134.690 | − | 390.220i | −0.208822 | − | 0.604992i | ||||
\(646\) | −313.617 | + | 213.267i | −0.485475 | + | 0.330134i | ||||
\(647\) | −780.148 | −1.20579 | −0.602896 | − | 0.797819i | \(-0.705987\pi\) | ||||
−0.602896 | + | 0.797819i | \(0.705987\pi\) | |||||||
\(648\) | −115.603 | − | 515.067i | −0.178399 | − | 0.794856i | ||||
\(649\) | − | 1557.52i | − | 2.39987i | ||||||
\(650\) | −280.888 | − | 89.6301i | −0.432136 | − | 0.137892i | ||||
\(651\) | −187.369 | + | 909.976i | −0.287817 | + | 1.39781i | ||||
\(652\) | −102.589 | + | 259.552i | −0.157345 | + | 0.398085i | ||||
\(653\) | −800.379 | −1.22570 | −0.612848 | − | 0.790201i | \(-0.709976\pi\) | ||||
−0.612848 | + | 0.790201i | \(0.709976\pi\) | |||||||
\(654\) | −834.415 | + | 567.422i | −1.27586 | + | 0.867618i | ||||
\(655\) | −413.699 | + | 142.794i | −0.631602 | + | 0.218006i | ||||
\(656\) | −173.031 | + | 184.689i | −0.263767 | + | 0.281539i | ||||
\(657\) | 117.914 | 0.179473 | ||||||||
\(658\) | −447.994 | − | 1077.21i | −0.680843 | − | 1.63709i | ||||
\(659\) | − | 824.020i | − | 1.25041i | −0.780461 | − | 0.625205i | \(-0.785015\pi\) | ||
0.780461 | − | 0.625205i | \(-0.214985\pi\) | |||||||
\(660\) | 34.3853 | − | 780.105i | 0.0520989 | − | 1.18198i | ||||
\(661\) | −1004.18 | −1.51918 | −0.759589 | − | 0.650403i | \(-0.774600\pi\) | ||||
−0.759589 | + | 0.650403i | \(0.774600\pi\) | |||||||
\(662\) | −287.219 | − | 422.366i | −0.433866 | − | 0.638015i | ||||
\(663\) | 162.281 | 0.244767 | ||||||||
\(664\) | 840.256 | − | 188.589i | 1.26545 | − | 0.284019i | ||||
\(665\) | 85.5062 | + | 657.648i | 0.128581 | + | 0.988944i | ||||
\(666\) | 94.4775 | − | 64.2470i | 0.141858 | − | 0.0964669i | ||||
\(667\) | 367.903 | 0.551578 | ||||||||
\(668\) | −54.3703 | + | 137.557i | −0.0813927 | + | 0.205924i | ||||
\(669\) | 867.834i | 1.29721i | ||||||||
\(670\) | −266.541 | + | 357.065i | −0.397822 | + | 0.532933i | ||||
\(671\) | 503.853i | 0.750898i | ||||||||
\(672\) | 576.760 | + | 216.235i | 0.858274 | + | 0.321778i | ||||
\(673\) | 209.582i | 0.311414i | 0.987803 | + | 0.155707i | \(0.0497655\pi\) | ||||
−0.987803 | + | 0.155707i | \(0.950234\pi\) | |||||||
\(674\) | −110.861 | − | 163.025i | −0.164482 | − | 0.241877i | ||||
\(675\) | −442.643 | − | 564.813i | −0.655767 | − | 0.836760i | ||||
\(676\) | 197.359 | − | 499.320i | 0.291952 | − | 0.738640i | ||||
\(677\) | 910.828i | 1.34539i | 0.739920 | + | 0.672695i | \(0.234863\pi\) | ||||
−0.739920 | + | 0.672695i | \(0.765137\pi\) | |||||||
\(678\) | −227.533 | + | 154.728i | −0.335594 | + | 0.228212i | ||||
\(679\) | −18.9821 | + | 92.1881i | −0.0279559 | + | 0.135770i | ||||
\(680\) | 210.311 | + | 340.618i | 0.309281 | + | 0.500909i | ||||
\(681\) | −20.2754 | −0.0297729 | ||||||||
\(682\) | 1133.37 | − | 770.722i | 1.66184 | − | 1.13009i | ||||
\(683\) | 313.801 | 0.459445 | 0.229722 | − | 0.973256i | \(-0.426218\pi\) | ||||
0.229722 | + | 0.973256i | \(0.426218\pi\) | |||||||
\(684\) | 40.0748 | − | 101.390i | 0.0585889 | − | 0.148230i | ||||
\(685\) | 100.399 | + | 290.873i | 0.146568 | + | 0.424632i | ||||
\(686\) | −8.23846 | + | 685.951i | −0.0120094 | + | 0.999928i | ||||
\(687\) | − | 167.375i | − | 0.243632i | ||||||
\(688\) | −350.572 | − | 328.443i | −0.509553 | − | 0.477388i | ||||
\(689\) | 105.700i | 0.153410i | ||||||||
\(690\) | −190.497 | + | 255.195i | −0.276083 | + | 0.369848i | ||||
\(691\) | −2.99680 | −0.00433690 | −0.00216845 | − | 0.999998i | \(-0.500690\pi\) | ||||
−0.00216845 | + | 0.999998i | \(0.500690\pi\) | |||||||
\(692\) | −415.706 | − | 164.310i | −0.600731 | − | 0.237442i | ||||
\(693\) | −140.026 | − | 28.8322i | −0.202058 | − | 0.0416049i | ||||
\(694\) | 607.647 | − | 413.215i | 0.875573 | − | 0.595411i | ||||
\(695\) | −75.2402 | + | 25.9703i | −0.108259 | + | 0.0373673i | ||||
\(696\) | −153.045 | − | 681.891i | −0.219892 | − | 0.979728i | ||||
\(697\) | − | 158.300i | − | 0.227116i | ||||||
\(698\) | −281.165 | + | 191.199i | −0.402815 | + | 0.273924i | ||||
\(699\) | −926.251 | −1.32511 | ||||||||
\(700\) | 697.458 | − | 59.5983i | 0.996369 | − | 0.0851405i | ||||
\(701\) | 276.084i | 0.393843i | 0.980419 | + | 0.196921i | \(0.0630944\pi\) | ||||
−0.980419 | + | 0.196921i | \(0.936906\pi\) | |||||||
\(702\) | −279.932 | + | 190.360i | −0.398763 | + | 0.271169i | ||||
\(703\) | −752.511 | −1.07043 | ||||||||
\(704\) | −388.337 | − | 821.537i | −0.551616 | − | 1.16696i | ||||
\(705\) | −373.829 | − | 1083.04i | −0.530253 | − | 1.53623i | ||||
\(706\) | −948.994 | + | 645.339i | −1.34418 | + | 0.914078i | ||||
\(707\) | 64.7690 | − | 314.557i | 0.0916110 | − | 0.444917i | ||||
\(708\) | 1122.12 | + | 443.524i | 1.58491 | + | 0.626446i | ||||
\(709\) | − | 364.044i | − | 0.513461i | −0.966483 | − | 0.256731i | \(-0.917355\pi\) | ||
0.966483 | − | 0.256731i | \(-0.0826453\pi\) | |||||||
\(710\) | 451.832 | − | 605.286i | 0.636383 | − | 0.852515i | ||||
\(711\) | 129.002 | 0.181437 | ||||||||
\(712\) | 1131.89 | − | 254.044i | 1.58973 | − | 0.356803i | ||||
\(713\) | −558.965 | −0.783962 | ||||||||
\(714\) | −355.741 | + | 147.948i | −0.498236 | + | 0.207209i | ||||
\(715\) | −395.718 | + | 136.588i | −0.553452 | + | 0.191032i | ||||
\(716\) | −587.216 | − | 232.101i | −0.820134 | − | 0.324163i | ||||
\(717\) | − | 373.747i | − | 0.521265i | ||||||
\(718\) | 216.051 | − | 146.920i | 0.300907 | − | 0.204624i | ||||
\(719\) | 200.157i | 0.278383i | 0.990265 | + | 0.139191i | \(0.0444503\pi\) | ||||
−0.990265 | + | 0.139191i | \(0.955550\pi\) | |||||||
\(720\) | −105.052 | − | 46.9710i | −0.145905 | − | 0.0652376i | ||||
\(721\) | 145.796 | − | 708.069i | 0.202213 | − | 0.982065i | ||||
\(722\) | 3.25729 | − | 2.21504i | 0.00451149 | − | 0.00306792i | ||||
\(723\) | −186.695 | −0.258223 | ||||||||
\(724\) | 131.060 | − | 331.583i | 0.181022 | − | 0.457988i | ||||
\(725\) | −489.895 | − | 625.107i | −0.675718 | − | 0.862217i | ||||
\(726\) | −249.244 | − | 366.523i | −0.343312 | − | 0.504852i | ||||
\(727\) | −417.422 | −0.574170 | −0.287085 | − | 0.957905i | \(-0.592686\pi\) | ||||
−0.287085 | + | 0.957905i | \(0.592686\pi\) | |||||||
\(728\) | −5.84984 | − | 330.171i | −0.00803550 | − | 0.453532i | ||||
\(729\) | −805.293 | −1.10465 | ||||||||
\(730\) | −490.362 | + | 656.902i | −0.671729 | + | 0.899865i | ||||
\(731\) | 300.481 | 0.411054 | ||||||||
\(732\) | −363.002 | − | 143.479i | −0.495904 | − | 0.196009i | ||||
\(733\) | − | 1102.88i | − | 1.50461i | −0.658814 | − | 0.752306i | \(-0.728942\pi\) | ||
0.658814 | − | 0.752306i | \(-0.271058\pi\) | |||||||
\(734\) | 559.826 | − | 380.696i | 0.762706 | − | 0.518659i | ||||
\(735\) | −49.6576 | + | 671.876i | −0.0675613 | + | 0.914117i | ||||
\(736\) | −57.4408 | + | 366.110i | −0.0780446 | + | 0.497432i | ||||
\(737\) | 632.649i | 0.858411i | ||||||||
\(738\) | 25.5885 | + | 37.6288i | 0.0346728 | + | 0.0509875i | ||||
\(739\) | 721.307i | 0.976059i | 0.872827 | + | 0.488029i | \(0.162284\pi\) | ||||
−0.872827 | + | 0.488029i | \(0.837716\pi\) | |||||||
\(740\) | −34.9764 | + | 793.516i | −0.0472654 | + | 1.07232i | ||||
\(741\) | 307.249 | 0.414641 | ||||||||
\(742\) | −96.3639 | − | 231.708i | −0.129870 | − | 0.312274i | ||||
\(743\) | 588.343i | 0.791847i | 0.918283 | + | 0.395924i | \(0.129576\pi\) | ||||
−0.918283 | + | 0.395924i | \(0.870424\pi\) | |||||||
\(744\) | 232.526 | + | 1036.02i | 0.312534 | + | 1.39249i | ||||
\(745\) | 91.9388 | + | 266.362i | 0.123408 | + | 0.357533i | ||||
\(746\) | −717.619 | + | 487.999i | −0.961956 | + | 0.654154i | ||||
\(747\) | − | 154.840i | − | 0.207282i | ||||||
\(748\) | 528.590 | + | 208.928i | 0.706671 | + | 0.279316i | ||||
\(749\) | 258.603 | − | 1255.93i | 0.345264 | − | 1.67681i | ||||
\(750\) | 687.268 | − | 16.1391i | 0.916358 | − | 0.0215188i | ||||
\(751\) | −1459.31 | −1.94315 | −0.971576 | − | 0.236730i | \(-0.923924\pi\) | ||||
−0.971576 | + | 0.236730i | \(0.923924\pi\) | |||||||
\(752\) | −973.004 | − | 911.585i | −1.29389 | − | 1.21221i | ||||
\(753\) | − | 616.468i | − | 0.818683i | ||||||
\(754\) | −309.815 | + | 210.682i | −0.410895 | + | 0.279418i | ||||
\(755\) | −240.981 | + | 83.1782i | −0.319180 | + | 0.110170i | ||||
\(756\) | 440.101 | − | 672.503i | 0.582144 | − | 0.889555i | ||||
\(757\) | 982.060 | 1.29730 | 0.648652 | − | 0.761085i | \(-0.275333\pi\) | ||||
0.648652 | + | 0.761085i | \(0.275333\pi\) | |||||||
\(758\) | 2.63499 | + | 3.87484i | 0.00347624 | + | 0.00511193i | ||||
\(759\) | 452.154i | 0.595724i | ||||||||
\(760\) | 398.187 | + | 644.900i | 0.523930 | + | 0.848553i | ||||
\(761\) | 900.760i | 1.18365i | 0.806065 | + | 0.591826i | \(0.201593\pi\) | ||||
−0.806065 | + | 0.591826i | \(0.798407\pi\) | |||||||
\(762\) | −376.113 | + | 255.766i | −0.493587 | + | 0.335651i | ||||
\(763\) | −1257.96 | − | 259.020i | −1.64870 | − | 0.339476i | ||||
\(764\) | −150.446 | + | 380.629i | −0.196919 | + | 0.498206i | ||||
\(765\) | 68.0391 | − | 23.4847i | 0.0889400 | − | 0.0306989i | ||||
\(766\) | −1243.76 | + | 845.789i | −1.62371 | + | 1.10416i | ||||
\(767\) | − | 646.864i | − | 0.843369i | ||||||
\(768\) | 702.463 | − | 45.8353i | 0.914665 | − | 0.0596813i | ||||
\(769\) | − | 282.871i | − | 0.367843i | −0.982941 | − | 0.183921i | \(-0.941121\pi\) | ||
0.982941 | − | 0.183921i | \(-0.0588792\pi\) | |||||||
\(770\) | 742.943 | − | 660.186i | 0.964861 | − | 0.857385i | ||||
\(771\) | 153.901i | 0.199612i | ||||||||
\(772\) | −527.583 | − | 208.530i | −0.683398 | − | 0.270117i | ||||
\(773\) | 849.275i | 1.09867i | 0.835601 | + | 0.549337i | \(0.185120\pi\) | ||||
−0.835601 | + | 0.549337i | \(0.814880\pi\) | |||||||
\(774\) | −71.4260 | + | 48.5714i | −0.0922816 | + | 0.0627537i | ||||
\(775\) | 744.311 | + | 949.743i | 0.960402 | + | 1.22547i | ||||
\(776\) | 23.5568 | + | 104.957i | 0.0303567 | + | 0.135254i | ||||
\(777\) | −748.746 | − | 154.171i | −0.963637 | − | 0.198418i | ||||
\(778\) | −410.707 | − | 603.959i | −0.527900 | − | 0.776297i | ||||
\(779\) | − | 299.713i | − | 0.384740i | ||||||
\(780\) | 14.2808 | − | 323.992i | 0.0183087 | − | 0.415374i | ||||
\(781\) | − | 1072.45i | − | 1.37317i | ||||||
\(782\) | −130.347 | − | 191.679i | −0.166684 | − | 0.245114i | ||||
\(783\) | −911.868 | −1.16458 | ||||||||
\(784\) | 313.833 | + | 718.446i | 0.400297 | + | 0.916385i | ||||
\(785\) | 362.966 | + | 1051.57i | 0.462378 | + | 1.33959i | ||||
\(786\) | −270.694 | − | 398.065i | −0.344395 | − | 0.506445i | ||||
\(787\) | − | 1087.66i | − | 1.38204i | −0.722838 | − | 0.691018i | \(-0.757163\pi\) | ||
0.722838 | − | 0.691018i | \(-0.242837\pi\) | |||||||
\(788\) | −75.0379 | + | 189.846i | −0.0952257 | + | 0.240922i | ||||
\(789\) | 204.743 | 0.259497 | ||||||||
\(790\) | −536.473 | + | 718.673i | −0.679079 | + | 0.909713i | ||||
\(791\) | −343.026 | − | 70.6310i | −0.433661 | − | 0.0892933i | ||||
\(792\) | −159.421 | + | 35.7808i | −0.201289 | + | 0.0451778i | ||||
\(793\) | 209.259i | 0.263882i | ||||||||
\(794\) | 759.312 | + | 1116.60i | 0.956313 | + | 1.40629i | ||||
\(795\) | −80.4108 | − | 232.964i | −0.101146 | − | 0.293036i | ||||
\(796\) | −280.771 | − | 110.977i | −0.352728 | − | 0.139418i | ||||
\(797\) | − | 1145.86i | − | 1.43772i | −0.695155 | − | 0.718860i | \(-0.744664\pi\) | ||
0.695155 | − | 0.718860i | \(-0.255336\pi\) | |||||||
\(798\) | −673.531 | + | 280.112i | −0.844024 | + | 0.351018i | ||||
\(799\) | 833.976 | 1.04377 | ||||||||
\(800\) | 698.549 | − | 389.910i | 0.873186 | − | 0.487387i | ||||
\(801\) | − | 208.581i | − | 0.260401i | ||||||
\(802\) | −1190.57 | + | 809.615i | −1.48450 | + | 1.00950i | ||||
\(803\) | 1163.90i | 1.44944i | ||||||||
\(804\) | −455.794 | − | 180.155i | −0.566907 | − | 0.224073i | ||||
\(805\) | −401.948 | + | 52.2606i | −0.499314 | + | 0.0649200i | ||||
\(806\) | 470.710 | − | 320.094i | 0.584007 | − | 0.397139i | ||||
\(807\) | 1038.14i | 1.28641i | ||||||||
\(808\) | −80.3785 | − | 358.126i | −0.0994783 | − | 0.443225i | ||||
\(809\) | 614.722 | 0.759854 | 0.379927 | − | 0.925017i | \(-0.375949\pi\) | ||||
0.379927 | + | 0.925017i | \(0.375949\pi\) | |||||||
\(810\) | 394.717 | − | 528.773i | 0.487305 | − | 0.652806i | ||||
\(811\) | −979.064 | −1.20723 | −0.603616 | − | 0.797276i | \(-0.706274\pi\) | ||||
−0.603616 | + | 0.797276i | \(0.706274\pi\) | |||||||
\(812\) | 487.082 | − | 744.293i | 0.599854 | − | 0.916617i | ||||
\(813\) | −1274.04 | −1.56708 | ||||||||
\(814\) | 634.165 | + | 932.563i | 0.779073 | + | 1.14565i | ||||
\(815\) | −329.772 | + | 113.825i | −0.404628 | + | 0.139663i | ||||
\(816\) | −301.046 | + | 321.329i | −0.368928 | + | 0.393785i | ||||
\(817\) | 568.906 | 0.696336 | ||||||||
\(818\) | −396.306 | − | 582.782i | −0.484481 | − | 0.712447i | ||||
\(819\) | −58.1553 | − | 11.9745i | −0.0710077 | − | 0.0146209i | ||||
\(820\) | −316.044 | − | 13.9305i | −0.385420 | − | 0.0169884i | ||||
\(821\) | 289.488i | 0.352605i | 0.984336 | + | 0.176302i | \(0.0564136\pi\) | ||||
−0.984336 | + | 0.176302i | \(0.943586\pi\) | |||||||
\(822\) | −279.881 | + | 190.326i | −0.340488 | + | 0.231540i | ||||
\(823\) | − | 520.650i | − | 0.632624i | −0.948655 | − | 0.316312i | \(-0.897555\pi\) | ||
0.948655 | − | 0.316312i | \(-0.102445\pi\) | |||||||
\(824\) | −180.933 | − | 806.143i | −0.219578 | − | 0.978329i | ||||
\(825\) | 768.261 | − | 602.084i | 0.931225 | − | 0.729799i | ||||
\(826\) | 589.732 | + | 1418.01i | 0.713961 | + | 1.71672i | ||||
\(827\) | 468.146 | 0.566077 | 0.283039 | − | 0.959109i | \(-0.408658\pi\) | ||||
0.283039 | + | 0.959109i | \(0.408658\pi\) | |||||||
\(828\) | 61.9683 | + | 24.4933i | 0.0748409 | + | 0.0295813i | ||||
\(829\) | 952.556 | 1.14904 | 0.574521 | − | 0.818490i | \(-0.305188\pi\) | ||||
0.574521 | + | 0.818490i | \(0.305188\pi\) | |||||||
\(830\) | 862.616 | + | 643.923i | 1.03930 | + | 0.775810i | ||||
\(831\) | 879.767i | 1.05868i | ||||||||
\(832\) | −161.283 | − | 341.199i | −0.193850 | − | 0.410095i | ||||
\(833\) | −450.495 | − | 193.733i | −0.540810 | − | 0.232572i | ||||
\(834\) | −49.2317 | − | 72.3969i | −0.0590308 | − | 0.0868069i | ||||
\(835\) | −174.773 | + | 60.3253i | −0.209309 | + | 0.0722459i | ||||
\(836\) | 1000.79 | + | 395.568i | 1.19712 | + | 0.473167i | ||||
\(837\) | 1385.43 | 1.65523 | ||||||||
\(838\) | −343.564 | + | 233.632i | −0.409981 | + | 0.278797i | ||||
\(839\) | − | 619.564i | − | 0.738455i | −0.929339 | − | 0.369228i | \(-0.879622\pi\) | ||
0.929339 | − | 0.369228i | \(-0.120378\pi\) | |||||||
\(840\) | 264.070 | + | 723.252i | 0.314369 | + | 0.861015i | ||||
\(841\) | −168.211 | −0.200013 | ||||||||
\(842\) | 540.135 | + | 794.288i | 0.641491 | + | 0.943335i | ||||
\(843\) | − | 1095.82i | − | 1.29990i | ||||||
\(844\) | 698.340 | + | 276.023i | 0.827418 | + | 0.327042i | ||||
\(845\) | 634.408 | − | 218.975i | 0.750779 | − | 0.259142i | ||||
\(846\) | −198.241 | + | 134.809i | −0.234327 | + | 0.159348i | ||||
\(847\) | 113.777 | − | 552.566i | 0.134329 | − | 0.652380i | ||||
\(848\) | −209.294 | − | 196.083i | −0.246809 | − | 0.231229i | ||||
\(849\) | −580.950 | −0.684276 | ||||||||
\(850\) | −152.116 | + | 476.712i | −0.178960 | + | 0.560837i | ||||
\(851\) | − | 459.927i | − | 0.540455i | ||||||
\(852\) | 772.647 | + | 305.393i | 0.906862 | + | 0.358442i | ||||
\(853\) | 1263.00i | 1.48065i | 0.672247 | + | 0.740327i | \(0.265329\pi\) | ||||
−0.672247 | + | 0.740327i | \(0.734671\pi\) | |||||||
\(854\) | −190.777 | − | 458.723i | −0.223392 | − | 0.537147i | ||||
\(855\) | 128.820 | − | 44.4640i | 0.150666 | − | 0.0520047i | ||||
\(856\) | −320.927 | − | 1429.89i | −0.374914 | − | 1.67043i | ||||
\(857\) | 1025.13 | 1.19619 | 0.598093 | − | 0.801427i | \(-0.295925\pi\) | ||||
0.598093 | + | 0.801427i | \(0.295925\pi\) | |||||||
\(858\) | −258.929 | − | 380.764i | −0.301782 | − | 0.443781i | ||||
\(859\) | −1243.94 | −1.44812 | −0.724062 | − | 0.689735i | \(-0.757727\pi\) | ||||
−0.724062 | + | 0.689735i | \(0.757727\pi\) | |||||||
\(860\) | 26.4425 | − | 599.907i | 0.0307471 | − | 0.697566i | ||||
\(861\) | 61.4038 | − | 298.213i | 0.0713168 | − | 0.346357i | ||||
\(862\) | 599.043 | − | 407.364i | 0.694945 | − | 0.472579i | ||||
\(863\) | − | 1443.37i | − | 1.67250i | −0.548350 | − | 0.836249i | \(-0.684744\pi\) | ||
0.548350 | − | 0.836249i | \(-0.315256\pi\) | |||||||
\(864\) | 142.370 | − | 907.425i | 0.164781 | − | 1.05026i | ||||
\(865\) | −182.307 | − | 528.173i | −0.210759 | − | 0.610604i | ||||
\(866\) | 998.700 | − | 679.140i | 1.15323 | − | 0.784227i | ||||
\(867\) | 519.285i | 0.598945i | ||||||||
\(868\) | −740.037 | + | 1130.83i | −0.852577 | + | 1.30279i | ||||
\(869\) | 1273.35i | 1.46530i | ||||||||
\(870\) | 522.561 | − | 700.037i | 0.600645 | − | 0.804640i | ||||
\(871\) | 262.750i | 0.301665i | ||||||||
\(872\) | −1432.19 | + | 321.445i | −1.64242 | + | 0.368629i | ||||
\(873\) | 19.3412 | 0.0221548 | ||||||||
\(874\) | −246.788 | − | 362.911i | −0.282366 | − | 0.415230i | ||||
\(875\) | 624.026 | + | 613.365i | 0.713173 | + | 0.700988i | ||||
\(876\) | −838.534 | − | 331.436i | −0.957231 | − | 0.378351i | ||||
\(877\) | 1233.98 | 1.40704 | 0.703522 | − | 0.710674i | \(-0.251610\pi\) | ||||
0.703522 | + | 0.710674i | \(0.251610\pi\) | |||||||
\(878\) | 195.000 | + | 286.755i | 0.222096 | + | 0.326600i | ||||
\(879\) | 188.111 | 0.214005 | ||||||||
\(880\) | 463.639 | − | 1036.94i | 0.526863 | − | 1.17834i | ||||
\(881\) | − | 718.191i | − | 0.815199i | −0.913161 | − | 0.407600i | \(-0.866366\pi\) | ||
0.913161 | − | 0.407600i | \(-0.133634\pi\) | |||||||
\(882\) | 138.401 | − | 26.7692i | 0.156917 | − | 0.0303505i | ||||
\(883\) | 484.335 | 0.548511 | 0.274255 | − | 0.961657i | \(-0.411569\pi\) | ||||
0.274255 | + | 0.961657i | \(0.411569\pi\) | |||||||
\(884\) | 219.533 | + | 86.7715i | 0.248340 | + | 0.0981578i | ||||
\(885\) | 492.101 | + | 1425.70i | 0.556046 | + | 1.61096i | ||||
\(886\) | −579.394 | + | 394.002i | −0.653943 | + | 0.444697i | ||||
\(887\) | 653.308 | 0.736537 | 0.368268 | − | 0.929720i | \(-0.379951\pi\) | ||||
0.368268 | + | 0.929720i | \(0.379951\pi\) | |||||||
\(888\) | −852.454 | + | 191.327i | −0.959971 | + | 0.215458i | ||||
\(889\) | −567.024 | − | 116.754i | −0.637823 | − | 0.131331i | ||||
\(890\) | 1162.01 | + | 867.415i | 1.30563 | + | 0.974623i | ||||
\(891\) | − | 936.881i | − | 1.05149i | ||||||
\(892\) | −464.031 | + | 1174.00i | −0.520214 | + | 1.31615i | ||||
\(893\) | 1578.98 | 1.76818 | ||||||||
\(894\) | −256.297 | + | 174.288i | −0.286685 | + | 0.194953i | ||||
\(895\) | −257.522 | − | 746.084i | −0.287734 | − | 0.833613i | ||||
\(896\) | 664.618 | + | 600.915i | 0.741761 | + | 0.670664i | ||||
\(897\) | 187.788i | 0.209351i | ||||||||
\(898\) | 1270.43 | − | 863.923i | 1.41473 | − | 0.962052i | ||||
\(899\) | 1533.32 | 1.70559 | ||||||||
\(900\) | −40.8994 | − | 137.906i | −0.0454438 | − | 0.153229i | ||||
\(901\) | 179.389 | 0.199100 | ||||||||
\(902\) | −371.424 | + | 252.577i | −0.411778 | + | 0.280019i | ||||
\(903\) | 566.060 | + | 116.555i | 0.626866 | + | 0.129075i | ||||
\(904\) | −390.538 | + | 87.6532i | −0.432011 | + | 0.0969616i | ||||
\(905\) | 421.291 | − | 145.415i | 0.465515 | − | 0.160679i | ||||
\(906\) | −157.680 | − | 231.875i | −0.174040 | − | 0.255932i | ||||
\(907\) | 3.93877 | 0.00434263 | 0.00217131 | − | 0.999998i | \(-0.499309\pi\) | ||||
0.00217131 | + | 0.999998i | \(0.499309\pi\) | |||||||
\(908\) | −27.4284 | − | 10.8412i | −0.0302075 | − | 0.0119397i | ||||
\(909\) | −65.9943 | −0.0726010 | ||||||||
\(910\) | 308.557 | − | 274.187i | 0.339074 | − | 0.301304i | ||||
\(911\) | −238.571 | −0.261878 | −0.130939 | − | 0.991390i | \(-0.541799\pi\) | ||||
−0.130939 | + | 0.991390i | \(0.541799\pi\) | |||||||
\(912\) | −569.976 | + | 608.379i | −0.624974 | + | 0.667082i | ||||
\(913\) | 1528.38 | 1.67402 | ||||||||
\(914\) | −421.818 | − | 620.299i | −0.461508 | − | 0.678664i | ||||
\(915\) | −159.193 | − | 461.210i | −0.173982 | − | 0.504055i | ||||
\(916\) | 89.4955 | − | 226.424i | 0.0977026 | − | 0.247188i | ||||
\(917\) | 123.568 | − | 600.120i | 0.134753 | − | 0.654438i | ||||
\(918\) | 323.072 | + | 475.089i | 0.351930 | + | 0.517526i | ||||
\(919\) | 1711.75 | 1.86262 | 0.931311 | − | 0.364226i | \(-0.118666\pi\) | ||||
0.931311 | + | 0.364226i | \(0.118666\pi\) | |||||||
\(920\) | −394.157 | + | 243.368i | −0.428431 | + | 0.264530i | ||||
\(921\) | −351.977 | −0.382168 | ||||||||
\(922\) | 65.6820 | − | 44.6654i | 0.0712387 | − | 0.0484440i | ||||
\(923\) | − | 445.406i | − | 0.482563i | ||||||
\(924\) | 914.741 | + | 598.626i | 0.989979 | + | 0.647864i | ||||
\(925\) | −781.468 | + | 612.434i | −0.844830 | + | 0.662091i | ||||
\(926\) | −25.8139 | − | 37.9603i | −0.0278768 | − | 0.0409939i | ||||
\(927\) | −148.554 | −0.160252 | ||||||||
\(928\) | 157.569 | − | 1004.29i | 0.169794 | − | 1.08221i | ||||
\(929\) | 1572.39i | 1.69257i | 0.532734 | + | 0.846283i | \(0.321165\pi\) | ||||
−0.532734 | + | 0.846283i | \(0.678835\pi\) | |||||||
\(930\) | −793.942 | + | 1063.59i | −0.853701 | + | 1.14364i | ||||
\(931\) | −852.931 | − | 366.798i | −0.916145 | − | 0.393983i | ||||
\(932\) | −1253.03 | − | 495.267i | −1.34445 | − | 0.531403i | ||||
\(933\) | −1266.05 | −1.35697 | ||||||||
\(934\) | −46.1503 | − | 67.8657i | −0.0494115 | − | 0.0726614i | ||||
\(935\) | 231.811 | + | 671.596i | 0.247926 | + | 0.718285i | ||||
\(936\) | −66.2104 | + | 14.8604i | −0.0707376 | + | 0.0158765i | ||||
\(937\) | 945.134 | 1.00868 | 0.504341 | − | 0.863505i | \(-0.331736\pi\) | ||||
0.504341 | + | 0.863505i | \(0.331736\pi\) | |||||||
\(938\) | −239.543 | − | 575.983i | −0.255377 | − | 0.614055i | ||||
\(939\) | 436.313i | 0.464658i | ||||||||
\(940\) | 73.3906 | − | 1665.02i | 0.0780751 | − | 1.77130i | ||||
\(941\) | 352.792 | 0.374912 | 0.187456 | − | 0.982273i | \(-0.439976\pi\) | ||||
0.187456 | + | 0.982273i | \(0.439976\pi\) | |||||||
\(942\) | −1011.84 | + | 688.073i | −1.07414 | + | 0.730438i | ||||
\(943\) | 183.181 | 0.194254 | ||||||||
\(944\) | 1280.84 | + | 1199.99i | 1.35683 | + | 1.27118i | ||||
\(945\) | 996.252 | − | 129.531i | 1.05423 | − | 0.137070i | ||||
\(946\) | −479.436 | − | 705.027i | −0.506803 | − | 0.745272i | ||||
\(947\) | −996.916 | −1.05271 | −0.526355 | − | 0.850265i | \(-0.676442\pi\) | ||||
−0.526355 | + | 0.850265i | \(0.676442\pi\) | |||||||
\(948\) | −917.385 | − | 362.602i | −0.967706 | − | 0.382491i | ||||
\(949\) | 483.388i | 0.509365i | ||||||||
\(950\) | −288.005 | + | 902.568i | −0.303163 | + | 0.950072i | ||||
\(951\) | 820.387i | 0.862657i | ||||||||
\(952\) | −560.352 | + | 9.92811i | −0.588605 | + | 0.0104287i | ||||
\(953\) | − | 1694.90i | − | 1.77849i | −0.457429 | − | 0.889246i | \(-0.651230\pi\) | ||
0.457429 | − | 0.889246i | \(-0.348770\pi\) | |||||||
\(954\) | −42.6417 | + | 28.9974i | −0.0446978 | + | 0.0303956i | ||||
\(955\) | −483.606 | + | 166.924i | −0.506394 | + | 0.174789i | ||||
\(956\) | 199.843 | − | 505.603i | 0.209040 | − | 0.528874i | ||||
\(957\) | − | 1240.33i | − | 1.29606i | ||||||
\(958\) | 832.998 | + | 1224.95i | 0.869518 | + | 1.27866i | ||||
\(959\) | −421.946 | − | 86.8811i | −0.439985 | − | 0.0905955i | ||||
\(960\) | 615.038 | + | 629.312i | 0.640664 | + | 0.655533i | ||||
\(961\) | −1368.62 | −1.42416 | ||||||||
\(962\) | 263.380 | + | 387.310i | 0.273784 | + | 0.402609i | ||||
\(963\) | −263.495 | −0.273619 | ||||||||
\(964\) | −252.560 | − | 99.8259i | −0.261992 | − | 0.103554i | ||||
\(965\) | −231.370 | − | 670.318i | −0.239762 | − | 0.694630i | ||||
\(966\) | −171.202 | − | 411.656i | −0.177228 | − | 0.426145i | ||||
\(967\) | − | 1018.54i | − | 1.05330i | −0.850082 | − | 0.526651i | \(-0.823447\pi\) | ||
0.850082 | − | 0.526651i | \(-0.176553\pi\) | |||||||
\(968\) | −141.197 | − | 629.101i | −0.145865 | − | 0.649898i | ||||
\(969\) | − | 521.450i | − | 0.538132i | ||||||
\(970\) | −80.4329 | + | 107.750i | −0.0829205 | + | 0.111082i | ||||
\(971\) | 1295.00 | 1.33368 | 0.666840 | − | 0.745201i | \(-0.267646\pi\) | ||||
0.666840 | + | 0.745201i | \(0.267646\pi\) | |||||||
\(972\) | −286.019 | − | 113.051i | −0.294258 | − | 0.116307i | ||||
\(973\) | 22.4736 | − | 109.145i | 0.0230972 | − | 0.112174i | ||||
\(974\) | −789.370 | − | 1160.80i | −0.810442 | − | 1.19178i | ||||
\(975\) | 319.072 | − | 250.056i | 0.327253 | − | 0.256468i | ||||
\(976\) | −414.350 | − | 388.195i | −0.424539 | − | 0.397741i | ||||
\(977\) | 608.808i | 0.623140i | 0.950223 | + | 0.311570i | \(0.100855\pi\) | ||||
−0.950223 | + | 0.311570i | \(0.899145\pi\) | |||||||
\(978\) | −215.778 | − | 317.310i | −0.220632 | − | 0.324447i | ||||
\(979\) | 2058.85 | 2.10302 | ||||||||
\(980\) | −426.429 | + | 882.359i | −0.435132 | + | 0.900367i | ||||
\(981\) | 263.920i | 0.269032i | ||||||||
\(982\) | 816.150 | + | 1200.18i | 0.831110 | + | 1.22218i | ||||
\(983\) | 364.756 | 0.371064 | 0.185532 | − | 0.982638i | \(-0.440599\pi\) | ||||
0.185532 | + | 0.982638i | \(0.440599\pi\) | |||||||
\(984\) | −76.2022 | − | 339.518i | −0.0774413 | − | 0.345039i | ||||
\(985\) | −241.208 | + | 83.2565i | −0.244881 | + | 0.0845244i | ||||
\(986\) | 357.560 | + | 525.804i | 0.362637 | + | 0.533270i | ||||
\(987\) | 1571.08 | + | 323.495i | 1.59178 | + | 0.327756i | ||||
\(988\) | 415.646 | + | 164.286i | 0.420694 | + | 0.166282i | ||||
\(989\) | 347.710i | 0.351577i | ||||||||
\(990\) | −163.663 | − | 122.171i | −0.165317 | − | 0.123405i | ||||
\(991\) | −1618.63 | −1.63333 | −0.816667 | − | 0.577110i | \(-0.804181\pi\) | ||||
−0.816667 | + | 0.577110i | \(0.804181\pi\) | |||||||
\(992\) | −239.398 | + | 1525.85i | −0.241329 | + | 1.53815i | ||||
\(993\) | 702.268 | 0.707218 | ||||||||
\(994\) | 406.066 | + | 976.389i | 0.408517 | + | 0.982282i | ||||
\(995\) | −123.131 | − | 356.732i | −0.123750 | − | 0.358525i | ||||
\(996\) | −435.227 | + | 1101.13i | −0.436975 | + | 1.10555i | ||||
\(997\) | 1049.40i | 1.05256i | 0.850313 | + | 0.526278i | \(0.176413\pi\) | ||||
−0.850313 | + | 0.526278i | \(0.823587\pi\) | |||||||
\(998\) | 702.123 | + | 1032.50i | 0.703531 | + | 1.03457i | ||||
\(999\) | 1139.96i | 1.14110i |
(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 | 280.3.c.g.69.15 | yes | 80 | |
4.3 | odd | 2 | 1120.3.c.g.209.44 | 80 | |||
5.4 | even | 2 | inner | 280.3.c.g.69.66 | yes | 80 | |
7.6 | odd | 2 | inner | 280.3.c.g.69.16 | yes | 80 | |
8.3 | odd | 2 | 1120.3.c.g.209.11 | 80 | |||
8.5 | even | 2 | inner | 280.3.c.g.69.68 | yes | 80 | |
20.19 | odd | 2 | 1120.3.c.g.209.15 | 80 | |||
28.27 | even | 2 | 1120.3.c.g.209.25 | 80 | |||
35.34 | odd | 2 | inner | 280.3.c.g.69.65 | yes | 80 | |
40.19 | odd | 2 | 1120.3.c.g.209.26 | 80 | |||
40.29 | even | 2 | inner | 280.3.c.g.69.13 | ✓ | 80 | |
56.13 | odd | 2 | inner | 280.3.c.g.69.67 | yes | 80 | |
56.27 | even | 2 | 1120.3.c.g.209.16 | 80 | |||
140.139 | even | 2 | 1120.3.c.g.209.12 | 80 | |||
280.69 | odd | 2 | inner | 280.3.c.g.69.14 | yes | 80 | |
280.139 | even | 2 | 1120.3.c.g.209.43 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.3.c.g.69.13 | ✓ | 80 | 40.29 | even | 2 | inner | |
280.3.c.g.69.14 | yes | 80 | 280.69 | odd | 2 | inner | |
280.3.c.g.69.15 | yes | 80 | 1.1 | even | 1 | trivial | |
280.3.c.g.69.16 | yes | 80 | 7.6 | odd | 2 | inner | |
280.3.c.g.69.65 | yes | 80 | 35.34 | odd | 2 | inner | |
280.3.c.g.69.66 | yes | 80 | 5.4 | even | 2 | inner | |
280.3.c.g.69.67 | yes | 80 | 56.13 | odd | 2 | inner | |
280.3.c.g.69.68 | yes | 80 | 8.5 | even | 2 | inner | |
1120.3.c.g.209.11 | 80 | 8.3 | odd | 2 | |||
1120.3.c.g.209.12 | 80 | 140.139 | even | 2 | |||
1120.3.c.g.209.15 | 80 | 20.19 | odd | 2 | |||
1120.3.c.g.209.16 | 80 | 56.27 | even | 2 | |||
1120.3.c.g.209.25 | 80 | 28.27 | even | 2 | |||
1120.3.c.g.209.26 | 80 | 40.19 | odd | 2 | |||
1120.3.c.g.209.43 | 80 | 280.139 | even | 2 | |||
1120.3.c.g.209.44 | 80 | 4.3 | odd | 2 |