Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,3,Mod(11,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.h (of order \(22\), degree \(10\), 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: | \(3.13352304014\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 21.3 | ||
Character | \(\chi\) | \(=\) | 115.21 |
Dual form | 115.3.h.a.11.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{13}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.76404 | − | 1.77634i | −1.38202 | − | 0.888170i | −0.382657 | − | 0.923890i | \(-0.624991\pi\) |
−0.999362 | + | 0.0357205i | \(0.988627\pi\) | |||||||
\(3\) | −0.745160 | − | 5.18270i | −0.248387 | − | 1.72757i | −0.607541 | − | 0.794288i | \(-0.707844\pi\) |
0.359155 | − | 0.933278i | \(-0.383065\pi\) | |||||||
\(4\) | 2.82287 | + | 6.18121i | 0.705716 | + | 1.54530i | ||||
\(5\) | −0.629973 | + | 2.14549i | −0.125995 | + | 0.429098i | ||||
\(6\) | −7.14658 | + | 15.6488i | −1.19110 | + | 2.60814i | ||||
\(7\) | −7.41885 | − | 6.42847i | −1.05984 | − | 0.918353i | −0.0630134 | − | 0.998013i | \(-0.520071\pi\) |
−0.996822 | + | 0.0796600i | \(0.974617\pi\) | |||||||
\(8\) | 1.30706 | − | 9.09078i | 0.163382 | − | 1.13635i | ||||
\(9\) | −17.6697 | + | 5.18828i | −1.96330 | + | 0.576476i | ||||
\(10\) | 5.55239 | − | 4.81117i | 0.555239 | − | 0.481117i | ||||
\(11\) | −2.08201 | − | 3.23967i | −0.189273 | − | 0.294515i | 0.733628 | − | 0.679551i | \(-0.237825\pi\) |
−0.922902 | + | 0.385036i | \(0.874189\pi\) | |||||||
\(12\) | 29.9319 | − | 19.2361i | 2.49432 | − | 1.60300i | ||||
\(13\) | 14.4775 | + | 16.7079i | 1.11365 | + | 1.28522i | 0.954579 | + | 0.297958i | \(0.0963057\pi\) |
0.159075 | + | 0.987267i | \(0.449149\pi\) | |||||||
\(14\) | 9.08684 | + | 30.9469i | 0.649060 | + | 2.21050i | ||||
\(15\) | 11.5889 | + | 1.66623i | 0.772591 | + | 0.111082i | ||||
\(16\) | −1.96119 | + | 2.26333i | −0.122574 | + | 0.141458i | ||||
\(17\) | −12.6930 | − | 5.79672i | −0.746649 | − | 0.340983i | 0.00549215 | − | 0.999985i | \(-0.498252\pi\) |
−0.752142 | + | 0.659002i | \(0.770979\pi\) | |||||||
\(18\) | 58.0558 | + | 17.0467i | 3.22532 | + | 0.947040i | ||||
\(19\) | 15.9118 | − | 7.26665i | 0.837461 | − | 0.382455i | 0.0499463 | − | 0.998752i | \(-0.484095\pi\) |
0.787514 | + | 0.616296i | \(0.211368\pi\) | |||||||
\(20\) | −15.0401 | + | 2.16244i | −0.752004 | + | 0.108122i | ||||
\(21\) | −27.7886 | + | 43.2399i | −1.32327 | + | 2.05904i | ||||
\(22\) | 12.6529i | 0.575133i | ||||||||
\(23\) | −21.0023 | − | 9.37569i | −0.913143 | − | 0.407639i | ||||
\(24\) | −48.0887 | −2.00370 | ||||||||
\(25\) | −4.20627 | − | 2.70320i | −0.168251 | − | 0.108128i | ||||
\(26\) | −10.3374 | − | 71.8983i | −0.397593 | − | 2.76532i | ||||
\(27\) | 20.4800 | + | 44.8450i | 0.758519 | + | 1.66093i | ||||
\(28\) | 18.7933 | − | 64.0042i | 0.671190 | − | 2.28586i | ||||
\(29\) | −3.61144 | + | 7.90795i | −0.124532 | + | 0.272688i | −0.961622 | − | 0.274378i | \(-0.911528\pi\) |
0.837089 | + | 0.547066i | \(0.184255\pi\) | |||||||
\(30\) | −29.0723 | − | 25.1913i | −0.969076 | − | 0.839709i | ||||
\(31\) | −3.03038 | + | 21.0767i | −0.0977541 | + | 0.679895i | 0.880737 | + | 0.473606i | \(0.157048\pi\) |
−0.978491 | + | 0.206289i | \(0.933861\pi\) | |||||||
\(32\) | −25.8077 | + | 7.57782i | −0.806490 | + | 0.236807i | ||||
\(33\) | −15.2388 | + | 13.2045i | −0.461781 | + | 0.400136i | ||||
\(34\) | 24.7871 | + | 38.5695i | 0.729033 | + | 1.13440i | ||||
\(35\) | 18.4659 | − | 11.8673i | 0.527597 | − | 0.339066i | ||||
\(36\) | −81.9490 | − | 94.5741i | −2.27636 | − | 2.62706i | ||||
\(37\) | 1.37818 | + | 4.69365i | 0.0372481 | + | 0.126855i | 0.976018 | − | 0.217689i | \(-0.0698517\pi\) |
−0.938770 | + | 0.344544i | \(0.888034\pi\) | |||||||
\(38\) | −56.8887 | − | 8.17937i | −1.49707 | − | 0.215246i | ||||
\(39\) | 75.8041 | − | 87.4826i | 1.94369 | − | 2.24314i | ||||
\(40\) | 18.6808 | + | 8.53123i | 0.467019 | + | 0.213281i | ||||
\(41\) | −50.5799 | − | 14.8516i | −1.23366 | − | 0.362234i | −0.401028 | − | 0.916066i | \(-0.631347\pi\) |
−0.832629 | + | 0.553831i | \(0.813165\pi\) | |||||||
\(42\) | 153.617 | − | 70.1547i | 3.65756 | − | 1.67035i | ||||
\(43\) | −28.1559 | + | 4.04821i | −0.654789 | + | 0.0941445i | −0.461699 | − | 0.887037i | \(-0.652760\pi\) |
−0.193090 | + | 0.981181i | \(0.561851\pi\) | |||||||
\(44\) | 14.1478 | − | 22.0145i | 0.321542 | − | 0.500329i | ||||
\(45\) | − | 41.1786i | − | 0.915080i | ||||||
\(46\) | 41.3967 | + | 63.2220i | 0.899929 | + | 1.37439i | ||||
\(47\) | −71.4174 | −1.51952 | −0.759759 | − | 0.650204i | \(-0.774683\pi\) | ||||
−0.759759 | + | 0.650204i | \(0.774683\pi\) | |||||||
\(48\) | 13.1916 | + | 8.47771i | 0.274824 | + | 0.176619i | ||||
\(49\) | 6.74067 | + | 46.8824i | 0.137565 | + | 0.956784i | ||||
\(50\) | 6.82448 | + | 14.9435i | 0.136490 | + | 0.298870i | ||||
\(51\) | −20.5843 | + | 70.1037i | −0.403614 | + | 1.37458i | ||||
\(52\) | −62.4072 | + | 136.653i | −1.20014 | + | 2.62794i | ||||
\(53\) | 62.9638 | + | 54.5585i | 1.18800 | + | 1.02941i | 0.998874 | + | 0.0474516i | \(0.0151100\pi\) |
0.189123 | + | 0.981953i | \(0.439435\pi\) | |||||||
\(54\) | 23.0524 | − | 160.333i | 0.426896 | − | 2.96912i | ||||
\(55\) | 8.26229 | − | 2.42603i | 0.150223 | − | 0.0441096i | ||||
\(56\) | −68.1366 | + | 59.0407i | −1.21673 | + | 1.05430i | ||||
\(57\) | −49.5177 | − | 77.0510i | −0.868731 | − | 1.35177i | ||||
\(58\) | 24.0294 | − | 15.4427i | 0.414299 | − | 0.266254i | ||||
\(59\) | −44.4626 | − | 51.3125i | −0.753603 | − | 0.869704i | 0.241309 | − | 0.970448i | \(-0.422423\pi\) |
−0.994912 | + | 0.100744i | \(0.967878\pi\) | |||||||
\(60\) | 22.4145 | + | 76.3368i | 0.373575 | + | 1.27228i | ||||
\(61\) | −68.7924 | − | 9.89086i | −1.12774 | − | 0.162145i | −0.446908 | − | 0.894580i | \(-0.647475\pi\) |
−0.680837 | + | 0.732435i | \(0.738384\pi\) | |||||||
\(62\) | 45.8155 | − | 52.8739i | 0.738960 | − | 0.852805i | ||||
\(63\) | 164.441 | + | 75.0978i | 2.61018 | + | 1.19203i | ||||
\(64\) | 96.2883 | + | 28.2728i | 1.50450 | + | 0.441762i | ||||
\(65\) | −44.9671 | + | 20.5358i | −0.691802 | + | 0.315935i | ||||
\(66\) | 65.5763 | − | 9.42844i | 0.993580 | − | 0.142855i | ||||
\(67\) | 29.4211 | − | 45.7802i | 0.439122 | − | 0.683286i | −0.549196 | − | 0.835693i | \(-0.685066\pi\) |
0.988318 | + | 0.152407i | \(0.0487024\pi\) | |||||||
\(68\) | − | 94.8218i | − | 1.39444i | ||||||
\(69\) | −32.9413 | + | 115.835i | −0.477410 | + | 1.67877i | ||||
\(70\) | −72.1208 | −1.03030 | ||||||||
\(71\) | 6.36182 | + | 4.08850i | 0.0896031 | + | 0.0575844i | 0.584675 | − | 0.811267i | \(-0.301222\pi\) |
−0.495072 | + | 0.868852i | \(0.664858\pi\) | |||||||
\(72\) | 24.0703 | + | 167.412i | 0.334309 | + | 2.32517i | ||||
\(73\) | −37.0957 | − | 81.2282i | −0.508160 | − | 1.11271i | −0.973730 | − | 0.227704i | \(-0.926878\pi\) |
0.465571 | − | 0.885011i | \(-0.345849\pi\) | |||||||
\(74\) | 4.52817 | − | 15.4215i | 0.0611915 | − | 0.208399i | ||||
\(75\) | −10.8756 | + | 23.8141i | −0.145007 | + | 0.317522i | ||||
\(76\) | 89.8335 | + | 77.8412i | 1.18202 | + | 1.02423i | ||||
\(77\) | −5.38000 | + | 37.4187i | −0.0698701 | + | 0.485957i | ||||
\(78\) | −364.924 | + | 107.151i | −4.67851 | + | 1.37374i | ||||
\(79\) | 28.5030 | − | 24.6980i | 0.360797 | − | 0.312633i | −0.455532 | − | 0.890219i | \(-0.650551\pi\) |
0.816329 | + | 0.577587i | \(0.196006\pi\) | |||||||
\(80\) | −3.62046 | − | 5.63355i | −0.0452558 | − | 0.0704194i | ||||
\(81\) | 77.7273 | − | 49.9523i | 0.959596 | − | 0.616695i | ||||
\(82\) | 113.423 | + | 130.898i | 1.38321 | + | 1.59631i | ||||
\(83\) | 9.43425 | + | 32.1301i | 0.113666 | + | 0.387110i | 0.996601 | − | 0.0823857i | \(-0.0262540\pi\) |
−0.882935 | + | 0.469496i | \(0.844436\pi\) | |||||||
\(84\) | −345.718 | − | 49.7068i | −4.11570 | − | 0.591748i | ||||
\(85\) | 20.4331 | − | 23.5810i | 0.240389 | − | 0.277424i | ||||
\(86\) | 85.0151 | + | 38.8251i | 0.988547 | + | 0.451454i | ||||
\(87\) | 43.6756 | + | 12.8243i | 0.502019 | + | 0.147406i | ||||
\(88\) | −32.1724 | + | 14.6926i | −0.365595 | + | 0.166962i | ||||
\(89\) | 62.2316 | − | 8.94755i | 0.699231 | − | 0.100534i | 0.216474 | − | 0.976288i | \(-0.430544\pi\) |
0.482757 | + | 0.875754i | \(0.339635\pi\) | |||||||
\(90\) | −73.1472 | + | 113.819i | −0.812746 | + | 1.26466i | ||||
\(91\) | − | 217.022i | − | 2.38485i | ||||||
\(92\) | −1.33352 | − | 156.286i | −0.0144947 | − | 1.69876i | ||||
\(93\) | 111.492 | 1.19884 | ||||||||
\(94\) | 197.400 | + | 126.862i | 2.10000 | + | 1.34959i | ||||
\(95\) | 5.56657 | + | 38.7163i | 0.0585954 | + | 0.407540i | ||||
\(96\) | 58.5044 | + | 128.107i | 0.609421 | + | 1.33445i | ||||
\(97\) | −23.6298 | + | 80.4757i | −0.243606 | + | 0.829647i | 0.743384 | + | 0.668865i | \(0.233220\pi\) |
−0.986990 | + | 0.160782i | \(0.948599\pi\) | |||||||
\(98\) | 64.6476 | − | 141.559i | 0.659670 | − | 1.44448i | ||||
\(99\) | 53.5967 | + | 46.4418i | 0.541381 | + | 0.469109i | ||||
\(100\) | 4.83535 | − | 33.6306i | 0.0483535 | − | 0.336306i | ||||
\(101\) | 77.3875 | − | 22.7230i | 0.766213 | − | 0.224980i | 0.124806 | − | 0.992181i | \(-0.460169\pi\) |
0.641407 | + | 0.767201i | \(0.278351\pi\) | |||||||
\(102\) | 181.424 | − | 157.205i | 1.77866 | − | 1.54122i | ||||
\(103\) | −51.6206 | − | 80.3232i | −0.501170 | − | 0.779836i | 0.494848 | − | 0.868979i | \(-0.335224\pi\) |
−0.996019 | + | 0.0891429i | \(0.971587\pi\) | |||||||
\(104\) | 170.811 | − | 109.774i | 1.64241 | − | 1.05551i | ||||
\(105\) | −75.2647 | − | 86.8602i | −0.716807 | − | 0.827240i | ||||
\(106\) | −77.1201 | − | 262.647i | −0.727548 | − | 2.47780i | ||||
\(107\) | −15.8483 | − | 2.27864i | −0.148115 | − | 0.0212957i | 0.0678585 | − | 0.997695i | \(-0.478383\pi\) |
−0.215973 | + | 0.976399i | \(0.569292\pi\) | |||||||
\(108\) | −219.384 | + | 253.183i | −2.03133 | + | 2.34428i | ||||
\(109\) | −169.084 | − | 77.2180i | −1.55123 | − | 0.708422i | −0.558579 | − | 0.829451i | \(-0.688653\pi\) |
−0.992649 | + | 0.121030i | \(0.961380\pi\) | |||||||
\(110\) | −27.1467 | − | 7.97100i | −0.246788 | − | 0.0724636i | ||||
\(111\) | 23.2988 | − | 10.6402i | 0.209899 | − | 0.0958577i | ||||
\(112\) | 29.0995 | − | 4.18388i | 0.259817 | − | 0.0373561i | ||||
\(113\) | 75.8413 | − | 118.011i | 0.671162 | − | 1.04435i | −0.323996 | − | 0.946058i | \(-0.605026\pi\) |
0.995158 | − | 0.0982896i | \(-0.0313371\pi\) | |||||||
\(114\) | 300.932i | 2.63976i | ||||||||
\(115\) | 33.3463 | − | 39.1538i | 0.289968 | − | 0.340468i | ||||
\(116\) | −59.0754 | −0.509270 | ||||||||
\(117\) | −342.498 | − | 220.110i | −2.92733 | − | 1.88128i | ||||
\(118\) | 31.7478 | + | 220.810i | 0.269049 | + | 1.87128i | ||||
\(119\) | 56.9037 | + | 124.602i | 0.478183 | + | 1.04707i | ||||
\(120\) | 30.2946 | − | 103.174i | 0.252455 | − | 0.859783i | ||||
\(121\) | 44.1045 | − | 96.5754i | 0.364500 | − | 0.798144i | ||||
\(122\) | 172.575 | + | 149.537i | 1.41455 | + | 1.22572i | ||||
\(123\) | −39.2813 | + | 273.207i | −0.319360 | + | 2.22120i | ||||
\(124\) | −138.834 | + | 40.7654i | −1.11963 | + | 0.328753i | ||||
\(125\) | 8.44954 | − | 7.32157i | 0.0675963 | − | 0.0585725i | ||||
\(126\) | −321.123 | − | 499.677i | −2.54859 | − | 3.96569i | ||||
\(127\) | −24.9696 | + | 16.0470i | −0.196611 | + | 0.126354i | −0.635242 | − | 0.772313i | \(-0.719100\pi\) |
0.438631 | + | 0.898667i | \(0.355463\pi\) | |||||||
\(128\) | −145.467 | − | 167.877i | −1.13646 | − | 1.31154i | ||||
\(129\) | 41.9613 | + | 142.907i | 0.325282 | + | 1.10781i | ||||
\(130\) | 160.769 | + | 23.1152i | 1.23669 | + | 0.177809i | ||||
\(131\) | 10.2032 | − | 11.7752i | 0.0778872 | − | 0.0898866i | −0.715468 | − | 0.698645i | \(-0.753787\pi\) |
0.793356 | + | 0.608758i | \(0.208332\pi\) | |||||||
\(132\) | −124.637 | − | 56.9197i | −0.944218 | − | 0.431210i | ||||
\(133\) | −164.760 | − | 48.3780i | −1.23880 | − | 0.363744i | ||||
\(134\) | −162.642 | + | 74.2763i | −1.21375 | + | 0.554301i | ||||
\(135\) | −109.116 | + | 15.6886i | −0.808270 | + | 0.116212i | ||||
\(136\) | −69.2872 | + | 107.813i | −0.509465 | + | 0.792743i | ||||
\(137\) | − | 170.542i | − | 1.24483i | −0.782687 | − | 0.622415i | \(-0.786152\pi\) | ||
0.782687 | − | 0.622415i | \(-0.213848\pi\) | |||||||
\(138\) | 296.813 | − | 261.657i | 2.15082 | − | 1.89607i | ||||
\(139\) | −127.295 | −0.915793 | −0.457896 | − | 0.889006i | \(-0.651397\pi\) | ||||
−0.457896 | + | 0.889006i | \(0.651397\pi\) | |||||||
\(140\) | 125.481 | + | 80.6419i | 0.896294 | + | 0.576013i | ||||
\(141\) | 53.2173 | + | 370.135i | 0.377428 | + | 2.62507i | ||||
\(142\) | −10.3218 | − | 22.6015i | −0.0726885 | − | 0.159166i | ||||
\(143\) | 23.9858 | − | 81.6883i | 0.167733 | − | 0.571247i | ||||
\(144\) | 22.9107 | − | 50.1675i | 0.159102 | − | 0.348386i | ||||
\(145\) | −14.6913 | − | 12.7301i | −0.101320 | − | 0.0877939i | ||||
\(146\) | −41.7550 | + | 290.412i | −0.285993 | + | 1.98913i | ||||
\(147\) | 237.955 | − | 69.8698i | 1.61874 | − | 0.475305i | ||||
\(148\) | −25.1220 | + | 21.7684i | −0.169743 | + | 0.147083i | ||||
\(149\) | −22.7934 | − | 35.4672i | −0.152976 | − | 0.238035i | 0.756304 | − | 0.654220i | \(-0.227003\pi\) |
−0.909280 | + | 0.416185i | \(0.863367\pi\) | |||||||
\(150\) | 72.3624 | − | 46.5045i | 0.482416 | − | 0.310030i | ||||
\(151\) | 98.5685 | + | 113.754i | 0.652772 | + | 0.753338i | 0.981579 | − | 0.191059i | \(-0.0611921\pi\) |
−0.328807 | + | 0.944397i | \(0.606647\pi\) | |||||||
\(152\) | −45.2620 | − | 154.148i | −0.297776 | − | 1.01413i | ||||
\(153\) | 254.357 | + | 36.5710i | 1.66246 | + | 0.239026i | ||||
\(154\) | 81.3389 | − | 93.8701i | 0.528175 | − | 0.609546i | ||||
\(155\) | −43.3109 | − | 19.7794i | −0.279425 | − | 0.127609i | ||||
\(156\) | 754.733 | + | 221.610i | 4.83803 | + | 1.42057i | ||||
\(157\) | 138.776 | − | 63.3769i | 0.883923 | − | 0.403674i | 0.0788757 | − | 0.996884i | \(-0.474867\pi\) |
0.805048 | + | 0.593210i | \(0.202140\pi\) | |||||||
\(158\) | −122.655 | + | 17.6352i | −0.776299 | + | 0.111615i | ||||
\(159\) | 235.842 | − | 366.977i | 1.48328 | − | 2.30803i | ||||
\(160\) | − | 60.1440i | − | 0.375900i | ||||||
\(161\) | 95.5415 | + | 204.569i | 0.593426 | + | 1.27062i | ||||
\(162\) | −303.573 | −1.87391 | ||||||||
\(163\) | 15.8478 | + | 10.1848i | 0.0972259 | + | 0.0624833i | 0.588350 | − | 0.808606i | \(-0.299778\pi\) |
−0.491124 | + | 0.871089i | \(0.663414\pi\) | |||||||
\(164\) | −50.9794 | − | 354.570i | −0.310850 | − | 2.16201i | ||||
\(165\) | −18.7301 | − | 41.0132i | −0.113516 | − | 0.248565i | ||||
\(166\) | 30.9974 | − | 105.567i | 0.186731 | − | 0.635948i | ||||
\(167\) | −56.6257 | + | 123.993i | −0.339076 | + | 0.742473i | −0.999968 | − | 0.00800837i | \(-0.997451\pi\) |
0.660892 | + | 0.750481i | \(0.270178\pi\) | |||||||
\(168\) | 356.763 | + | 309.137i | 2.12359 | + | 1.84010i | ||||
\(169\) | −45.5055 | + | 316.498i | −0.269264 | + | 1.87277i | ||||
\(170\) | −98.3658 | + | 28.8828i | −0.578622 | + | 0.169899i | ||||
\(171\) | −243.454 | + | 210.954i | −1.42371 | + | 1.23365i | ||||
\(172\) | −104.503 | − | 162.610i | −0.607577 | − | 0.945409i | ||||
\(173\) | 170.775 | − | 109.750i | 0.987139 | − | 0.634395i | 0.0557588 | − | 0.998444i | \(-0.482242\pi\) |
0.931380 | + | 0.364049i | \(0.118606\pi\) | |||||||
\(174\) | −97.9408 | − | 113.030i | −0.562878 | − | 0.649596i | ||||
\(175\) | 13.8282 | + | 47.0945i | 0.0790183 | + | 0.269112i | ||||
\(176\) | 11.4157 | + | 1.64132i | 0.0648617 | + | 0.00932570i | ||||
\(177\) | −232.806 | + | 268.672i | −1.31529 | + | 1.51792i | ||||
\(178\) | −187.904 | − | 85.8131i | −1.05564 | − | 0.482096i | ||||
\(179\) | −87.7220 | − | 25.7575i | −0.490067 | − | 0.143897i | 0.0273571 | − | 0.999626i | \(-0.491291\pi\) |
−0.517424 | + | 0.855729i | \(0.673109\pi\) | |||||||
\(180\) | 254.534 | − | 116.242i | 1.41408 | − | 0.645787i | ||||
\(181\) | 226.527 | − | 32.5696i | 1.25153 | − | 0.179943i | 0.515498 | − | 0.856891i | \(-0.327607\pi\) |
0.736030 | + | 0.676948i | \(0.236698\pi\) | |||||||
\(182\) | −385.504 | + | 599.856i | −2.11816 | + | 3.29591i | ||||
\(183\) | 363.901i | 1.98853i | ||||||||
\(184\) | −112.684 | + | 178.673i | −0.612410 | + | 0.971047i | ||||
\(185\) | −10.9384 | −0.0591265 | ||||||||
\(186\) | −308.169 | − | 198.048i | −1.65682 | − | 1.06478i | ||||
\(187\) | 7.64757 | + | 53.1900i | 0.0408961 | + | 0.284439i | ||||
\(188\) | −201.602 | − | 441.446i | −1.07235 | − | 2.34812i | ||||
\(189\) | 136.346 | − | 464.353i | 0.721410 | − | 2.45690i | ||||
\(190\) | 53.3871 | − | 116.902i | 0.280985 | − | 0.615271i | ||||
\(191\) | −63.6870 | − | 55.1851i | −0.333440 | − | 0.288927i | 0.472008 | − | 0.881594i | \(-0.343529\pi\) |
−0.805447 | + | 0.592667i | \(0.798075\pi\) | |||||||
\(192\) | 74.7792 | − | 520.101i | 0.389475 | − | 2.70886i | ||||
\(193\) | −198.466 | + | 58.2749i | −1.02832 | + | 0.301943i | −0.752028 | − | 0.659131i | \(-0.770924\pi\) |
−0.276293 | + | 0.961073i | \(0.589106\pi\) | |||||||
\(194\) | 208.266 | − | 180.463i | 1.07354 | − | 0.930224i | ||||
\(195\) | 139.939 | + | 217.749i | 0.717634 | + | 1.11666i | ||||
\(196\) | −270.762 | + | 174.008i | −1.38144 | + | 0.887798i | ||||
\(197\) | −72.0830 | − | 83.1882i | −0.365903 | − | 0.422275i | 0.542705 | − | 0.839923i | \(-0.317400\pi\) |
−0.908609 | + | 0.417648i | \(0.862855\pi\) | |||||||
\(198\) | −65.6469 | − | 223.573i | −0.331550 | − | 1.12916i | ||||
\(199\) | 151.265 | + | 21.7486i | 0.760126 | + | 0.109290i | 0.511469 | − | 0.859302i | \(-0.329102\pi\) |
0.248657 | + | 0.968592i | \(0.420011\pi\) | |||||||
\(200\) | −30.0721 | + | 34.7050i | −0.150360 | + | 0.173525i | ||||
\(201\) | −259.188 | − | 118.367i | −1.28949 | − | 0.588892i | ||||
\(202\) | −254.266 | − | 74.6592i | −1.25874 | − | 0.369600i | ||||
\(203\) | 77.6288 | − | 35.4519i | 0.382408 | − | 0.174640i | ||||
\(204\) | −491.433 | + | 70.6573i | −2.40898 | + | 0.346359i | ||||
\(205\) | 63.7280 | − | 99.1627i | 0.310868 | − | 0.483721i | ||||
\(206\) | 313.712i | 1.52287i | ||||||||
\(207\) | 419.747 | + | 56.6995i | 2.02776 | + | 0.273910i | ||||
\(208\) | −66.2087 | −0.318311 | ||||||||
\(209\) | −56.6699 | − | 36.4195i | −0.271148 | − | 0.174256i | ||||
\(210\) | 53.7415 | + | 373.781i | 0.255912 | + | 1.77991i | ||||
\(211\) | 34.8317 | + | 76.2707i | 0.165079 | + | 0.361473i | 0.974035 | − | 0.226396i | \(-0.0726944\pi\) |
−0.808956 | + | 0.587869i | \(0.799967\pi\) | |||||||
\(212\) | −159.499 | + | 543.204i | −0.752354 | + | 2.56228i | ||||
\(213\) | 16.4489 | − | 36.0180i | 0.0772247 | − | 0.169099i | ||||
\(214\) | 39.7577 | + | 34.4502i | 0.185783 | + | 0.160982i | ||||
\(215\) | 9.05208 | − | 62.9586i | 0.0421027 | − | 0.292831i | ||||
\(216\) | 434.444 | − | 127.564i | 2.01132 | − | 0.590576i | ||||
\(217\) | 157.973 | − | 136.884i | 0.727986 | − | 0.630804i | ||||
\(218\) | 330.189 | + | 513.784i | 1.51463 | + | 2.35681i | ||||
\(219\) | −393.339 | + | 252.784i | −1.79607 | + | 1.15426i | ||||
\(220\) | 38.3191 | + | 44.2226i | 0.174178 | + | 0.201012i | ||||
\(221\) | −86.9124 | − | 295.996i | −0.393269 | − | 1.33935i | ||||
\(222\) | −83.2994 | − | 11.9766i | −0.375222 | − | 0.0539488i | ||||
\(223\) | −95.4818 | + | 110.192i | −0.428169 | + | 0.494134i | −0.928308 | − | 0.371811i | \(-0.878737\pi\) |
0.500139 | + | 0.865945i | \(0.333282\pi\) | |||||||
\(224\) | 240.177 | + | 109.685i | 1.07222 | + | 0.489666i | ||||
\(225\) | 88.3483 | + | 25.9414i | 0.392659 | + | 0.115295i | ||||
\(226\) | −419.256 | + | 191.468i | −1.85512 | + | 0.847203i | ||||
\(227\) | −137.034 | + | 19.7025i | −0.603672 | + | 0.0867950i | −0.437373 | − | 0.899280i | \(-0.644091\pi\) |
−0.166300 | + | 0.986075i | \(0.553182\pi\) | |||||||
\(228\) | 336.487 | − | 523.584i | 1.47582 | − | 2.29642i | ||||
\(229\) | − | 293.235i | − | 1.28050i | −0.768165 | − | 0.640252i | \(-0.778830\pi\) | ||
0.768165 | − | 0.640252i | \(-0.221170\pi\) | |||||||
\(230\) | −161.721 | + | 48.9882i | −0.703135 | + | 0.212992i | ||||
\(231\) | 197.939 | 0.856878 | ||||||||
\(232\) | 67.1691 | + | 43.1670i | 0.289522 | + | 0.186064i | ||||
\(233\) | 24.5429 | + | 170.700i | 0.105334 | + | 0.732616i | 0.972213 | + | 0.234097i | \(0.0752135\pi\) |
−0.866879 | + | 0.498519i | \(0.833877\pi\) | |||||||
\(234\) | 555.687 | + | 1216.79i | 2.37473 | + | 5.19994i | ||||
\(235\) | 44.9910 | − | 153.225i | 0.191451 | − | 0.652023i | ||||
\(236\) | 191.662 | − | 419.681i | 0.812127 | − | 1.77831i | ||||
\(237\) | −149.241 | − | 129.318i | −0.629711 | − | 0.545647i | ||||
\(238\) | 64.0510 | − | 445.484i | 0.269122 | − | 1.87178i | ||||
\(239\) | −160.814 | + | 47.2193i | −0.672863 | + | 0.197570i | −0.600278 | − | 0.799792i | \(-0.704943\pi\) |
−0.0725857 | + | 0.997362i | \(0.523125\pi\) | |||||||
\(240\) | −26.4992 | + | 22.9617i | −0.110413 | + | 0.0956736i | ||||
\(241\) | −127.113 | − | 197.792i | −0.527440 | − | 0.820713i | 0.470661 | − | 0.882314i | \(-0.344016\pi\) |
−0.998101 | + | 0.0616012i | \(0.980379\pi\) | |||||||
\(242\) | −293.457 | + | 188.594i | −1.21263 | + | 0.779313i | ||||
\(243\) | −26.2443 | − | 30.2875i | −0.108001 | − | 0.124640i | ||||
\(244\) | −133.054 | − | 453.141i | −0.545304 | − | 1.85714i | ||||
\(245\) | −104.832 | − | 15.0726i | −0.427887 | − | 0.0615208i | ||||
\(246\) | 593.884 | − | 685.379i | 2.41416 | − | 2.78609i | ||||
\(247\) | 351.773 | + | 160.649i | 1.42418 | + | 0.650402i | ||||
\(248\) | 187.643 | + | 55.0970i | 0.756625 | + | 0.222165i | ||||
\(249\) | 159.491 | − | 72.8370i | 0.640525 | − | 0.292518i | ||||
\(250\) | −36.3604 | + | 5.22784i | −0.145442 | + | 0.0209114i | ||||
\(251\) | −94.2960 | + | 146.727i | −0.375681 | + | 0.584572i | −0.976686 | − | 0.214674i | \(-0.931131\pi\) |
0.601004 | + | 0.799246i | \(0.294767\pi\) | |||||||
\(252\) | 1228.44i | 4.87475i | ||||||||
\(253\) | 13.3528 | + | 87.5607i | 0.0527780 | + | 0.346090i | ||||
\(254\) | 97.5219 | 0.383945 | ||||||||
\(255\) | −137.439 | − | 88.3269i | −0.538978 | − | 0.346380i | ||||
\(256\) | 46.7410 | + | 325.091i | 0.182582 | + | 1.26989i | ||||
\(257\) | 125.758 | + | 275.373i | 0.489333 | + | 1.07149i | 0.979791 | + | 0.200024i | \(0.0641021\pi\) |
−0.490458 | + | 0.871465i | \(0.663171\pi\) | |||||||
\(258\) | 137.869 | − | 469.538i | 0.534376 | − | 1.81992i | ||||
\(259\) | 19.9485 | − | 43.6810i | 0.0770211 | − | 0.168653i | ||||
\(260\) | −253.872 | − | 219.982i | −0.976432 | − | 0.846084i | ||||
\(261\) | 22.7843 | − | 158.468i | 0.0872960 | − | 0.607157i | ||||
\(262\) | −49.1188 | + | 14.4226i | −0.187476 | + | 0.0550480i | ||||
\(263\) | 182.845 | − | 158.436i | 0.695227 | − | 0.602417i | −0.233864 | − | 0.972269i | \(-0.575137\pi\) |
0.929091 | + | 0.369852i | \(0.120592\pi\) | |||||||
\(264\) | 100.121 | + | 155.791i | 0.379247 | + | 0.590119i | ||||
\(265\) | −156.720 | + | 100.718i | −0.591397 | + | 0.380068i | ||||
\(266\) | 369.468 | + | 426.389i | 1.38898 | + | 1.60297i | ||||
\(267\) | −92.7449 | − | 315.860i | −0.347359 | − | 1.18300i | ||||
\(268\) | 366.029 | + | 52.6270i | 1.36578 | + | 0.196370i | ||||
\(269\) | 268.546 | − | 309.918i | 0.998312 | − | 1.15211i | 0.00995646 | − | 0.999950i | \(-0.496831\pi\) |
0.988355 | − | 0.152163i | \(-0.0486238\pi\) | |||||||
\(270\) | 329.470 | + | 150.464i | 1.22026 | + | 0.557274i | ||||
\(271\) | −26.8155 | − | 7.87374i | −0.0989502 | − | 0.0290544i | 0.231883 | − | 0.972744i | \(-0.425511\pi\) |
−0.330833 | + | 0.943689i | \(0.607330\pi\) | |||||||
\(272\) | 38.0133 | − | 17.3601i | 0.139755 | − | 0.0638239i | ||||
\(273\) | −1124.76 | + | 161.716i | −4.11999 | + | 0.592366i | ||||
\(274\) | −302.940 | + | 471.384i | −1.10562 | + | 1.72038i | ||||
\(275\) | 19.2550i | 0.0700182i | ||||||||
\(276\) | −808.990 | + | 123.369i | −2.93112 | + | 0.446990i | ||||
\(277\) | −483.367 | −1.74501 | −0.872503 | − | 0.488608i | \(-0.837505\pi\) | ||||
−0.872503 | + | 0.488608i | \(0.837505\pi\) | |||||||
\(278\) | 351.849 | + | 226.119i | 1.26564 | + | 0.813379i | ||||
\(279\) | −55.8063 | − | 388.141i | −0.200022 | − | 1.39119i | ||||
\(280\) | −83.7471 | − | 183.381i | −0.299097 | − | 0.654931i | ||||
\(281\) | 33.3413 | − | 113.550i | 0.118652 | − | 0.404093i | −0.878653 | − | 0.477462i | \(-0.841557\pi\) |
0.997305 | + | 0.0733691i | \(0.0233751\pi\) | |||||||
\(282\) | 510.390 | − | 1117.60i | 1.80989 | − | 3.96312i | ||||
\(283\) | −178.670 | − | 154.819i | −0.631344 | − | 0.547063i | 0.279326 | − | 0.960196i | \(-0.409889\pi\) |
−0.910671 | + | 0.413133i | \(0.864434\pi\) | |||||||
\(284\) | −7.31329 | + | 50.8651i | −0.0257510 | + | 0.179102i | ||||
\(285\) | 196.507 | − | 57.6997i | 0.689498 | − | 0.202455i | ||||
\(286\) | −211.404 | + | 183.183i | −0.739175 | + | 0.640499i | ||||
\(287\) | 279.772 | + | 435.333i | 0.974815 | + | 1.51684i | ||||
\(288\) | 416.697 | − | 267.795i | 1.44687 | − | 0.929844i | ||||
\(289\) | −61.7434 | − | 71.2557i | −0.213645 | − | 0.246559i | ||||
\(290\) | 17.9944 | + | 61.2833i | 0.0620497 | + | 0.211322i | ||||
\(291\) | 434.689 | + | 62.4989i | 1.49378 | + | 0.214773i | ||||
\(292\) | 397.373 | − | 458.593i | 1.36087 | − | 1.57052i | ||||
\(293\) | 93.7294 | + | 42.8048i | 0.319895 | + | 0.146091i | 0.568890 | − | 0.822413i | \(-0.307373\pi\) |
−0.248995 | + | 0.968505i | \(0.580100\pi\) | |||||||
\(294\) | −781.828 | − | 229.565i | −2.65928 | − | 0.780835i | ||||
\(295\) | 138.101 | − | 63.0685i | 0.468139 | − | 0.213792i | ||||
\(296\) | 44.4703 | − | 6.39386i | 0.150237 | − | 0.0216009i | ||||
\(297\) | 102.643 | − | 159.716i | 0.345600 | − | 0.537764i | ||||
\(298\) | 138.522i | 0.464837i | ||||||||
\(299\) | −147.412 | − | 486.641i | −0.493018 | − | 1.62756i | ||||
\(300\) | −177.900 | −0.593002 | ||||||||
\(301\) | 234.908 | + | 150.966i | 0.780426 | + | 0.501550i | ||||
\(302\) | −70.3812 | − | 489.512i | −0.233050 | − | 1.62090i | ||||
\(303\) | −175.433 | − | 384.144i | −0.578985 | − | 1.26780i | ||||
\(304\) | −14.7591 | + | 50.2649i | −0.0485497 | + | 0.165345i | ||||
\(305\) | 64.5581 | − | 141.363i | 0.211666 | − | 0.463484i | ||||
\(306\) | −638.089 | − | 552.908i | −2.08526 | − | 1.80689i | ||||
\(307\) | 15.9030 | − | 110.608i | 0.0518015 | − | 0.360287i | −0.947390 | − | 0.320082i | \(-0.896290\pi\) |
0.999191 | − | 0.0402054i | \(-0.0128012\pi\) | |||||||
\(308\) | −246.480 | + | 72.3731i | −0.800260 | + | 0.234978i | ||||
\(309\) | −377.825 | + | 327.387i | −1.22273 | + | 1.05951i | ||||
\(310\) | 84.5780 | + | 131.606i | 0.272832 | + | 0.424535i | ||||
\(311\) | 258.101 | − | 165.871i | 0.829906 | − | 0.533348i | −0.0553424 | − | 0.998467i | \(-0.517625\pi\) |
0.885248 | + | 0.465120i | \(0.153989\pi\) | |||||||
\(312\) | −696.204 | − | 803.463i | −2.23142 | − | 2.57520i | ||||
\(313\) | 140.490 | + | 478.466i | 0.448851 | + | 1.52865i | 0.804457 | + | 0.594011i | \(0.202456\pi\) |
−0.355606 | + | 0.934636i | \(0.615726\pi\) | |||||||
\(314\) | −496.161 | − | 71.3372i | −1.58013 | − | 0.227188i | ||||
\(315\) | −264.715 | + | 305.498i | −0.840366 | + | 0.969834i | ||||
\(316\) | 233.124 | + | 106.464i | 0.737733 | + | 0.336911i | ||||
\(317\) | 187.145 | + | 54.9507i | 0.590363 | + | 0.173346i | 0.563250 | − | 0.826286i | \(-0.309551\pi\) |
0.0271124 | + | 0.999632i | \(0.491369\pi\) | |||||||
\(318\) | −1303.75 | + | 595.404i | −4.09985 | + | 1.87234i | ||||
\(319\) | 33.1382 | − | 4.76455i | 0.103881 | − | 0.0149359i | ||||
\(320\) | −121.318 | + | 188.775i | −0.379119 | + | 0.589920i | ||||
\(321\) | 83.8349i | 0.261168i | ||||||||
\(322\) | 99.3044 | − | 735.152i | 0.308399 | − | 2.28308i | ||||
\(323\) | −244.091 | −0.755700 | ||||||||
\(324\) | 528.179 | + | 339.440i | 1.63018 | + | 1.04766i | ||||
\(325\) | −15.7313 | − | 109.414i | −0.0484040 | − | 0.336657i | ||||
\(326\) | −25.7124 | − | 56.3022i | −0.0788723 | − | 0.172706i | ||||
\(327\) | −274.203 | + | 933.850i | −0.838542 | + | 2.85581i | ||||
\(328\) | −201.124 | + | 440.399i | −0.613182 | + | 1.34268i | ||||
\(329\) | 529.835 | + | 459.104i | 1.61044 | + | 1.39545i | ||||
\(330\) | −21.0826 | + | 146.633i | −0.0638868 | + | 0.444342i | ||||
\(331\) | 250.382 | − | 73.5187i | 0.756440 | − | 0.222111i | 0.119299 | − | 0.992858i | \(-0.461935\pi\) |
0.637141 | + | 0.770747i | \(0.280117\pi\) | |||||||
\(332\) | −171.972 | + | 149.014i | −0.517986 | + | 0.448838i | ||||
\(333\) | −48.7039 | − | 75.7848i | −0.146258 | − | 0.227582i | ||||
\(334\) | 376.769 | − | 242.135i | 1.12805 | − | 0.724954i | ||||
\(335\) | 79.6865 | + | 91.9631i | 0.237870 | + | 0.274517i | ||||
\(336\) | −43.3676 | − | 147.696i | −0.129070 | − | 0.439573i | ||||
\(337\) | 41.5418 | + | 5.97280i | 0.123269 | + | 0.0177235i | 0.203673 | − | 0.979039i | \(-0.434712\pi\) |
−0.0804040 | + | 0.996762i | \(0.525621\pi\) | |||||||
\(338\) | 687.987 | − | 793.979i | 2.03546 | − | 2.34905i | ||||
\(339\) | −668.131 | − | 305.125i | −1.97089 | − | 0.900074i | ||||
\(340\) | 203.439 | + | 59.7352i | 0.598351 | + | 0.175692i | ||||
\(341\) | 74.5909 | − | 34.0645i | 0.218742 | − | 0.0998959i | ||||
\(342\) | 1047.64 | − | 150.628i | 3.06328 | − | 0.440433i | ||||
\(343\) | −8.67982 | + | 13.5061i | −0.0253056 | + | 0.0393763i | ||||
\(344\) | 261.251i | 0.759449i | ||||||||
\(345\) | −227.771 | − | 143.648i | −0.660205 | − | 0.416372i | ||||
\(346\) | −666.983 | −1.92770 | ||||||||
\(347\) | −10.6732 | − | 6.85922i | −0.0307584 | − | 0.0197672i | 0.525171 | − | 0.850997i | \(-0.324001\pi\) |
−0.555930 | + | 0.831229i | \(0.687638\pi\) | |||||||
\(348\) | 44.0206 | + | 306.170i | 0.126496 | + | 0.879798i | ||||
\(349\) | −23.2782 | − | 50.9720i | −0.0666996 | − | 0.146052i | 0.873346 | − | 0.487100i | \(-0.161945\pi\) |
−0.940046 | + | 0.341048i | \(0.889218\pi\) | |||||||
\(350\) | 45.4342 | − | 154.735i | 0.129812 | − | 0.442099i | ||||
\(351\) | −452.767 | + | 991.422i | −1.28993 | + | 2.82456i | ||||
\(352\) | 78.2814 | + | 67.8312i | 0.222390 | + | 0.192702i | ||||
\(353\) | −76.0833 | + | 529.171i | −0.215533 | + | 1.49907i | 0.538720 | + | 0.842485i | \(0.318908\pi\) |
−0.754254 | + | 0.656583i | \(0.772001\pi\) | |||||||
\(354\) | 1120.74 | − | 329.078i | 3.16592 | − | 0.929599i | ||||
\(355\) | −12.7796 | + | 11.0736i | −0.0359989 | + | 0.0311932i | ||||
\(356\) | 230.978 | + | 359.409i | 0.648815 | + | 1.00958i | ||||
\(357\) | 603.371 | − | 387.763i | 1.69012 | − | 1.08617i | ||||
\(358\) | 196.713 | + | 227.019i | 0.549477 | + | 0.634131i | ||||
\(359\) | −29.4744 | − | 100.381i | −0.0821014 | − | 0.279612i | 0.908202 | − | 0.418532i | \(-0.137455\pi\) |
−0.990304 | + | 0.138920i | \(0.955637\pi\) | |||||||
\(360\) | −374.345 | − | 53.8227i | −1.03985 | − | 0.149508i | ||||
\(361\) | −36.0252 | + | 41.5753i | −0.0997927 | + | 0.115167i | ||||
\(362\) | −683.983 | − | 312.365i | −1.88946 | − | 0.862885i | ||||
\(363\) | −533.386 | − | 156.616i | −1.46938 | − | 0.431450i | ||||
\(364\) | 1341.46 | − | 612.623i | 3.68532 | − | 1.68303i | ||||
\(365\) | 197.644 | − | 28.4169i | 0.541489 | − | 0.0778544i | ||||
\(366\) | 646.411 | − | 1005.84i | 1.76615 | − | 2.74818i | ||||
\(367\) | − | 549.577i | − | 1.49748i | −0.662861 | − | 0.748742i | \(-0.730658\pi\) | ||
0.662861 | − | 0.748742i | \(-0.269342\pi\) | |||||||
\(368\) | 62.4098 | − | 29.1477i | 0.169592 | − | 0.0792057i | ||||
\(369\) | 970.785 | 2.63085 | ||||||||
\(370\) | 30.2341 | + | 19.4303i | 0.0817139 | + | 0.0525143i | ||||
\(371\) | −116.392 | − | 809.522i | −0.313724 | − | 2.18200i | ||||
\(372\) | 314.728 | + | 689.159i | 0.846044 | + | 1.85258i | ||||
\(373\) | −8.03968 | + | 27.3806i | −0.0215541 | + | 0.0734065i | −0.969568 | − | 0.244823i | \(-0.921270\pi\) |
0.948014 | + | 0.318230i | \(0.103088\pi\) | |||||||
\(374\) | 73.3454 | − | 160.604i | 0.196111 | − | 0.429422i | ||||
\(375\) | −44.2417 | − | 38.3357i | −0.117978 | − | 0.102228i | ||||
\(376\) | −93.3466 | + | 649.240i | −0.248262 | + | 1.72670i | ||||
\(377\) | −184.410 | + | 54.1477i | −0.489151 | + | 0.143628i | ||||
\(378\) | −1201.72 | + | 1041.29i | −3.17914 | + | 2.75474i | ||||
\(379\) | −5.33127 | − | 8.29562i | −0.0140667 | − | 0.0218882i | 0.834149 | − | 0.551539i | \(-0.185959\pi\) |
−0.848216 | + | 0.529651i | \(0.822323\pi\) | |||||||
\(380\) | −223.600 | + | 143.699i | −0.588422 | + | 0.378156i | ||||
\(381\) | 101.773 | + | 117.452i | 0.267121 | + | 0.308274i | ||||
\(382\) | 78.0058 | + | 265.663i | 0.204204 | + | 0.695454i | ||||
\(383\) | 442.046 | + | 63.5566i | 1.15417 | + | 0.165944i | 0.692708 | − | 0.721218i | \(-0.256417\pi\) |
0.461458 | + | 0.887162i | \(0.347326\pi\) | |||||||
\(384\) | −761.662 | + | 879.005i | −1.98350 | + | 2.28908i | ||||
\(385\) | −76.8923 | − | 35.1155i | −0.199720 | − | 0.0912092i | ||||
\(386\) | 652.084 | + | 191.469i | 1.68934 | + | 0.496034i | ||||
\(387\) | 476.502 | − | 217.611i | 1.23127 | − | 0.562303i | ||||
\(388\) | −564.142 | + | 81.1113i | −1.45397 | + | 0.209050i | ||||
\(389\) | −410.325 | + | 638.478i | −1.05482 | + | 1.64133i | −0.342435 | + | 0.939542i | \(0.611252\pi\) |
−0.712385 | + | 0.701789i | \(0.752385\pi\) | |||||||
\(390\) | − | 850.444i | − | 2.18063i | ||||||
\(391\) | 212.235 | + | 240.750i | 0.542800 | + | 0.615730i | ||||
\(392\) | 435.008 | 1.10971 | ||||||||
\(393\) | −68.6301 | − | 44.1059i | −0.174631 | − | 0.112229i | ||||
\(394\) | 51.4696 | + | 357.979i | 0.130634 | + | 0.908577i | ||||
\(395\) | 35.0332 | + | 76.7120i | 0.0886916 | + | 0.194207i | ||||
\(396\) | −135.770 | + | 462.391i | −0.342854 | + | 1.16766i | ||||
\(397\) | −113.745 | + | 249.068i | −0.286512 | + | 0.627374i | −0.997089 | − | 0.0762453i | \(-0.975707\pi\) |
0.710577 | + | 0.703620i | \(0.248434\pi\) | |||||||
\(398\) | −379.469 | − | 328.812i | −0.953441 | − | 0.826161i | ||||
\(399\) | −127.956 | + | 889.952i | −0.320691 | + | 2.23046i | ||||
\(400\) | 14.3675 | − | 4.21869i | 0.0359188 | − | 0.0105467i | ||||
\(401\) | 24.3630 | − | 21.1106i | 0.0607555 | − | 0.0526450i | −0.623954 | − | 0.781461i | \(-0.714475\pi\) |
0.684709 | + | 0.728816i | \(0.259929\pi\) | |||||||
\(402\) | 506.146 | + | 787.579i | 1.25907 | + | 1.95915i | ||||
\(403\) | −396.021 | + | 254.507i | −0.982682 | + | 0.631531i | ||||
\(404\) | 358.910 | + | 414.205i | 0.888392 | + | 1.02526i | ||||
\(405\) | 58.2061 | + | 198.232i | 0.143719 | + | 0.489461i | ||||
\(406\) | −277.543 | − | 39.9047i | −0.683604 | − | 0.0982875i | ||||
\(407\) | 12.3365 | − | 14.2370i | 0.0303107 | − | 0.0349805i | ||||
\(408\) | 610.392 | + | 278.757i | 1.49606 | + | 0.683227i | ||||
\(409\) | −535.887 | − | 157.351i | −1.31024 | − | 0.384720i | −0.449277 | − | 0.893392i | \(-0.648318\pi\) |
−0.860960 | + | 0.508672i | \(0.830137\pi\) | |||||||
\(410\) | −352.293 | + | 160.887i | −0.859252 | + | 0.392407i | ||||
\(411\) | −883.867 | + | 127.081i | −2.15053 | + | 0.309199i | ||||
\(412\) | 350.777 | − | 545.819i | 0.851400 | − | 1.32480i | ||||
\(413\) | 666.506i | 1.61382i | ||||||||
\(414\) | −1059.48 | − | 902.333i | −2.55913 | − | 2.17955i | ||||
\(415\) | −74.8782 | −0.180429 | ||||||||
\(416\) | −500.240 | − | 321.485i | −1.20250 | − | 0.772800i | ||||
\(417\) | 94.8552 | + | 659.732i | 0.227471 | + | 1.58209i | ||||
\(418\) | 91.9444 | + | 201.330i | 0.219963 | + | 0.481651i | ||||
\(419\) | 184.659 | − | 628.890i | 0.440713 | − | 1.50093i | −0.377497 | − | 0.926011i | \(-0.623215\pi\) |
0.818210 | − | 0.574920i | \(-0.194967\pi\) | |||||||
\(420\) | 324.439 | − | 710.422i | 0.772474 | − | 1.69148i | ||||
\(421\) | 373.913 | + | 323.998i | 0.888155 | + | 0.769590i | 0.973960 | − | 0.226722i | \(-0.0728007\pi\) |
−0.0858049 | + | 0.996312i | \(0.527346\pi\) | |||||||
\(422\) | 39.2066 | − | 272.688i | 0.0929067 | − | 0.646180i | ||||
\(423\) | 1261.92 | − | 370.533i | 2.98326 | − | 0.875965i | ||||
\(424\) | 578.276 | − | 501.079i | 1.36386 | − | 1.18179i | ||||
\(425\) | 37.7206 | + | 58.6944i | 0.0887544 | + | 0.138105i | ||||
\(426\) | −109.445 | + | 70.3363i | −0.256914 | + | 0.165109i | ||||
\(427\) | 446.778 | + | 515.609i | 1.04632 | + | 1.20751i | ||||
\(428\) | −30.6528 | − | 104.394i | −0.0716188 | − | 0.243911i | ||||
\(429\) | −441.239 | − | 63.4406i | −1.02853 | − | 0.147880i | ||||
\(430\) | −136.856 | + | 157.940i | −0.318270 | + | 0.367303i | ||||
\(431\) | −633.434 | − | 289.280i | −1.46969 | − | 0.671183i | −0.490000 | − | 0.871723i | \(-0.663003\pi\) |
−0.979686 | + | 0.200540i | \(0.935730\pi\) | |||||||
\(432\) | −141.664 | − | 41.5964i | −0.327927 | − | 0.0962879i | ||||
\(433\) | 332.249 | − | 151.733i | 0.767319 | − | 0.350423i | 0.00700240 | − | 0.999975i | \(-0.497771\pi\) |
0.760317 | + | 0.649553i | \(0.225044\pi\) | |||||||
\(434\) | −679.797 | + | 97.7400i | −1.56635 | + | 0.225207i | ||||
\(435\) | −55.0289 | + | 85.6267i | −0.126503 | + | 0.196843i | ||||
\(436\) | − | 1263.12i | − | 2.89706i | ||||||
\(437\) | −402.313 | + | 3.43275i | −0.920625 | + | 0.00785526i | ||||
\(438\) | 1536.23 | 3.50738 | ||||||||
\(439\) | 534.870 | + | 343.740i | 1.21838 | + | 0.783007i | 0.982042 | − | 0.188663i | \(-0.0604155\pi\) |
0.236341 | + | 0.971670i | \(0.424052\pi\) | |||||||
\(440\) | −11.2552 | − | 78.2816i | −0.0255800 | − | 0.177913i | ||||
\(441\) | −362.345 | − | 793.424i | −0.821643 | − | 1.79915i | ||||
\(442\) | −285.561 | + | 972.531i | −0.646065 | + | 2.20030i | ||||
\(443\) | −71.9812 | + | 157.617i | −0.162486 | + | 0.355794i | −0.973310 | − | 0.229496i | \(-0.926292\pi\) |
0.810824 | + | 0.585290i | \(0.199019\pi\) | |||||||
\(444\) | 131.539 | + | 113.979i | 0.296258 | + | 0.256709i | ||||
\(445\) | −20.0073 | + | 139.154i | −0.0449603 | + | 0.312706i | ||||
\(446\) | 459.653 | − | 134.966i | 1.03061 | − | 0.302615i | ||||
\(447\) | −166.831 | + | 144.560i | −0.373224 | + | 0.323401i | ||||
\(448\) | −532.597 | − | 828.738i | −1.18883 | − | 1.84986i | ||||
\(449\) | −391.006 | + | 251.285i | −0.870838 | + | 0.559654i | −0.898009 | − | 0.439977i | \(-0.854987\pi\) |
0.0271707 | + | 0.999631i | \(0.491350\pi\) | |||||||
\(450\) | −198.117 | − | 228.640i | −0.440261 | − | 0.508088i | ||||
\(451\) | 57.1936 | + | 194.783i | 0.126815 | + | 0.431892i | ||||
\(452\) | 943.543 | + | 135.661i | 2.08748 | + | 0.300135i | ||||
\(453\) | 516.104 | − | 595.616i | 1.13930 | − | 1.31483i | ||||
\(454\) | 413.764 | + | 188.960i | 0.911375 | + | 0.416211i | ||||
\(455\) | 465.618 | + | 136.718i | 1.02334 | + | 0.300479i | ||||
\(456\) | −765.176 | + | 349.444i | −1.67802 | + | 0.766325i | ||||
\(457\) | 41.8680 | − | 6.01971i | 0.0916149 | − | 0.0131722i | −0.0963549 | − | 0.995347i | \(-0.530718\pi\) |
0.187970 | + | 0.982175i | \(0.439809\pi\) | |||||||
\(458\) | −520.885 | + | 810.514i | −1.13730 | + | 1.76968i | ||||
\(459\) | − | 687.936i | − | 1.49877i | ||||||
\(460\) | 336.150 | + | 95.5949i | 0.730762 | + | 0.207815i | ||||
\(461\) | −700.666 | −1.51988 | −0.759941 | − | 0.649992i | \(-0.774772\pi\) | ||||
−0.759941 | + | 0.649992i | \(0.774772\pi\) | |||||||
\(462\) | −547.111 | − | 351.607i | −1.18422 | − | 0.761053i | ||||
\(463\) | −121.101 | − | 842.278i | −0.261558 | − | 1.81918i | −0.521159 | − | 0.853460i | \(-0.674500\pi\) |
0.259601 | − | 0.965716i | \(-0.416409\pi\) | |||||||
\(464\) | −10.8156 | − | 23.6829i | −0.0233095 | − | 0.0510407i | ||||
\(465\) | −70.2372 | + | 239.206i | −0.151048 | + | 0.514422i | ||||
\(466\) | 235.383 | − | 515.417i | 0.505114 | − | 1.10604i | ||||
\(467\) | 0.105469 | + | 0.0913894i | 0.000225844 | + | 0.000195695i | 0.654974 | − | 0.755652i | \(-0.272680\pi\) |
−0.654748 | + | 0.755847i | \(0.727225\pi\) | |||||||
\(468\) | 393.722 | − | 2738.39i | 0.841286 | − | 5.85127i | ||||
\(469\) | −512.568 | + | 150.503i | −1.09289 | + | 0.320903i | ||||
\(470\) | −396.537 | + | 343.601i | −0.843696 | + | 0.731067i | ||||
\(471\) | −431.873 | − | 672.008i | −0.916929 | − | 1.42677i | ||||
\(472\) | −524.586 | + | 337.131i | −1.11141 | + | 0.714261i | ||||
\(473\) | 71.7357 | + | 82.7874i | 0.151661 | + | 0.175026i | ||||
\(474\) | 182.796 | + | 622.544i | 0.385645 | + | 1.31338i | ||||
\(475\) | −86.5723 | − | 12.4472i | −0.182258 | − | 0.0262047i | ||||
\(476\) | −609.559 | + | 703.468i | −1.28059 | + | 1.47787i | ||||
\(477\) | −1395.61 | − | 637.356i | −2.92582 | − | 1.33618i | ||||
\(478\) | 528.375 | + | 155.145i | 1.10539 | + | 0.324571i | ||||
\(479\) | −14.7934 | + | 6.75593i | −0.0308840 | + | 0.0141042i | −0.430797 | − | 0.902449i | \(-0.641768\pi\) |
0.399913 | + | 0.916553i | \(0.369040\pi\) | |||||||
\(480\) | −311.708 | + | 44.8169i | −0.649392 | + | 0.0933685i | ||||
\(481\) | −58.4685 | + | 90.9788i | −0.121556 | + | 0.189145i | ||||
\(482\) | 772.500i | 1.60270i | ||||||||
\(483\) | 989.028 | − | 647.600i | 2.04768 | − | 1.34079i | ||||
\(484\) | 721.455 | 1.49061 | ||||||||
\(485\) | −157.774 | − | 101.395i | −0.325307 | − | 0.209062i | ||||
\(486\) | 18.7393 | + | 130.335i | 0.0385582 | + | 0.268178i | ||||
\(487\) | −260.456 | − | 570.319i | −0.534817 | − | 1.17109i | −0.963519 | − | 0.267640i | \(-0.913756\pi\) |
0.428702 | − | 0.903446i | \(-0.358971\pi\) | |||||||
\(488\) | −179.831 | + | 612.449i | −0.368507 | + | 1.25502i | ||||
\(489\) | 40.9755 | − | 89.7238i | 0.0837944 | − | 0.183484i | ||||
\(490\) | 262.986 | + | 227.879i | 0.536707 | + | 0.465059i | ||||
\(491\) | −2.98424 | + | 20.7558i | −0.00607788 | + | 0.0422726i | −0.992635 | − | 0.121146i | \(-0.961343\pi\) |
0.986557 | + | 0.163419i | \(0.0522521\pi\) | |||||||
\(492\) | −1799.64 | + | 528.422i | −3.65780 | + | 1.07403i | ||||
\(493\) | 91.6803 | − | 79.4415i | 0.185964 | − | 0.161139i | ||||
\(494\) | −686.946 | − | 1068.91i | −1.39058 | − | 2.16378i | ||||
\(495\) | −133.405 | + | 85.7341i | −0.269505 | + | 0.173200i | ||||
\(496\) | −41.7605 | − | 48.1942i | −0.0841946 | − | 0.0971657i | ||||
\(497\) | −20.9146 | − | 71.2287i | −0.0420818 | − | 0.143317i | ||||
\(498\) | −570.222 | − | 81.9855i | −1.14502 | − | 0.164629i | ||||
\(499\) | −476.271 | + | 549.645i | −0.954450 | + | 1.10149i | 0.0403030 | + | 0.999188i | \(0.487168\pi\) |
−0.994753 | + | 0.102306i | \(0.967378\pi\) | |||||||
\(500\) | 69.1081 | + | 31.5606i | 0.138216 | + | 0.0631212i | ||||
\(501\) | 684.813 | + | 201.079i | 1.36689 | + | 0.401356i | ||||
\(502\) | 521.276 | − | 238.059i | 1.03840 | − | 0.474220i | ||||
\(503\) | 762.801 | − | 109.674i | 1.51650 | − | 0.218040i | 0.666774 | − | 0.745260i | \(-0.267675\pi\) |
0.849729 | + | 0.527220i | \(0.176766\pi\) | |||||||
\(504\) | 897.632 | − | 1396.74i | 1.78101 | − | 2.77131i | ||||
\(505\) | 180.349i | 0.357127i | ||||||||
\(506\) | 118.630 | − | 265.740i | 0.234446 | − | 0.525178i | ||||
\(507\) | 1674.22 | 3.30221 | ||||||||
\(508\) | −169.676 | − | 109.044i | −0.334008 | − | 0.214654i | ||||
\(509\) | 36.3460 | + | 252.792i | 0.0714067 | + | 0.496645i | 0.993870 | + | 0.110559i | \(0.0352641\pi\) |
−0.922463 | + | 0.386086i | \(0.873827\pi\) | |||||||
\(510\) | 222.989 | + | 488.278i | 0.437233 | + | 0.957407i | ||||
\(511\) | −246.966 | + | 841.088i | −0.483299 | + | 1.64596i | ||||
\(512\) | 79.1669 | − | 173.351i | 0.154623 | − | 0.338577i | ||||
\(513\) | 651.746 | + | 564.741i | 1.27046 | + | 1.10086i | ||||
\(514\) | 141.554 | − | 984.530i | 0.275397 | − | 1.91543i | ||||
\(515\) | 204.852 | − | 60.1500i | 0.397771 | − | 0.116796i | ||||
\(516\) | −764.888 | + | 662.780i | −1.48234 | + | 1.28446i | ||||
\(517\) | 148.692 | + | 231.369i | 0.287604 | + | 0.447521i | ||||
\(518\) | −132.731 | + | 85.3008i | −0.256237 | + | 0.164673i | ||||
\(519\) | −696.058 | − | 803.294i | −1.34115 | − | 1.54777i | ||||
\(520\) | 127.912 | + | 435.628i | 0.245984 | + | 0.837746i | ||||
\(521\) | 462.379 | + | 66.4800i | 0.887483 | + | 0.127601i | 0.570954 | − | 0.820982i | \(-0.306573\pi\) |
0.316529 | + | 0.948583i | \(0.397483\pi\) | |||||||
\(522\) | −344.470 | + | 397.539i | −0.659903 | + | 0.761569i | ||||
\(523\) | −322.606 | − | 147.329i | −0.616837 | − | 0.281700i | 0.0823897 | − | 0.996600i | \(-0.473745\pi\) |
−0.699226 | + | 0.714900i | \(0.746472\pi\) | |||||||
\(524\) | 101.587 | + | 29.8287i | 0.193868 | + | 0.0569249i | ||||
\(525\) | 233.772 | − | 106.760i | 0.445281 | − | 0.203353i | ||||
\(526\) | −786.825 | + | 113.128i | −1.49587 | + | 0.215073i | ||||
\(527\) | 160.641 | − | 249.962i | 0.304821 | − | 0.474310i | ||||
\(528\) | − | 60.3869i | − | 0.114369i | ||||||
\(529\) | 353.193 | + | 393.822i | 0.667661 | + | 0.744465i | ||||
\(530\) | 612.090 | 1.15489 | ||||||||
\(531\) | 1051.86 | + | 675.991i | 1.98091 | + | 1.27305i | ||||
\(532\) | −166.062 | − | 1154.98i | −0.312146 | − | 2.17102i | ||||
\(533\) | −484.131 | − | 1060.10i | −0.908314 | − | 1.98893i | ||||
\(534\) | −304.725 | + | 1037.80i | −0.570645 | + | 1.94344i | ||||
\(535\) | 14.8728 | − | 32.5669i | 0.0277996 | − | 0.0608727i | ||||
\(536\) | −377.723 | − | 327.298i | −0.704706 | − | 0.610631i | ||||
\(537\) | −68.1265 | + | 473.830i | −0.126865 | + | 0.882365i | ||||
\(538\) | −1292.79 | + | 379.598i | −2.40296 | + | 0.705572i | ||||
\(539\) | 137.849 | − | 119.447i | 0.255750 | − | 0.221609i | ||||
\(540\) | −404.995 | − | 630.185i | −0.749991 | − | 1.16701i | ||||
\(541\) | 403.833 | − | 259.528i | 0.746457 | − | 0.479719i | −0.111292 | − | 0.993788i | \(-0.535499\pi\) |
0.857749 | + | 0.514069i | \(0.171863\pi\) | |||||||
\(542\) | 60.1326 | + | 69.3968i | 0.110946 | + | 0.128038i | ||||
\(543\) | −337.597 | − | 1149.75i | −0.621725 | − | 2.11740i | ||||
\(544\) | 371.505 | + | 53.4143i | 0.682913 | + | 0.0981880i | ||||
\(545\) | 272.189 | − | 314.123i | 0.499429 | − | 0.576372i | ||||
\(546\) | 3396.14 | + | 1550.96i | 6.22003 | + | 2.84059i | ||||
\(547\) | 189.385 | + | 55.6083i | 0.346224 | + | 0.101661i | 0.450221 | − | 0.892917i | \(-0.351345\pi\) |
−0.103997 | + | 0.994578i | \(0.533163\pi\) | |||||||
\(548\) | 1054.16 | − | 481.417i | 1.92364 | − | 0.878497i | ||||
\(549\) | 1266.86 | − | 182.146i | 2.30757 | − | 0.331778i | ||||
\(550\) | 34.2034 | − | 53.2216i | 0.0621880 | − | 0.0967665i | ||||
\(551\) | 152.072i | 0.275994i | ||||||||
\(552\) | 1009.97 | + | 450.865i | 1.82966 | + | 0.816785i | ||||
\(553\) | −370.229 | −0.669493 | ||||||||
\(554\) | 1336.04 | + | 858.624i | 2.41163 | + | 1.54986i | ||||
\(555\) | 8.15085 | + | 56.6904i | 0.0146862 | + | 0.102145i | ||||
\(556\) | −359.337 | − | 786.839i | −0.646290 | − | 1.41518i | ||||
\(557\) | 141.238 | − | 481.014i | 0.253570 | − | 0.863579i | −0.730061 | − | 0.683382i | \(-0.760508\pi\) |
0.983631 | − | 0.180197i | \(-0.0576735\pi\) | |||||||
\(558\) | −535.220 | + | 1171.97i | −0.959175 | + | 2.10030i | ||||
\(559\) | −475.265 | − | 411.819i | −0.850205 | − | 0.736707i | ||||
\(560\) | −9.35544 | + | 65.0685i | −0.0167061 | + | 0.116194i | ||||
\(561\) | 269.969 | − | 79.2701i | 0.481229 | − | 0.141301i | ||||
\(562\) | −293.860 | + | 254.631i | −0.522883 | + | 0.453080i | ||||
\(563\) | −76.7518 | − | 119.428i | −0.136326 | − | 0.212128i | 0.766377 | − | 0.642391i | \(-0.222057\pi\) |
−0.902704 | + | 0.430263i | \(0.858421\pi\) | |||||||
\(564\) | −2137.66 | + | 1373.79i | −3.79017 | + | 2.43579i | ||||
\(565\) | 205.414 | + | 237.061i | 0.363565 | + | 0.419577i | ||||
\(566\) | 218.841 | + | 745.305i | 0.386645 | + | 1.31679i | ||||
\(567\) | −897.764 | − | 129.079i | −1.58336 | − | 0.227652i | ||||
\(568\) | 45.4829 | − | 52.4900i | 0.0800755 | − | 0.0924120i | ||||
\(569\) | −646.886 | − | 295.423i | −1.13688 | − | 0.519197i | −0.244129 | − | 0.969743i | \(-0.578502\pi\) |
−0.892753 | + | 0.450546i | \(0.851229\pi\) | |||||||
\(570\) | −645.647 | − | 189.579i | −1.13271 | − | 0.332595i | ||||
\(571\) | −480.248 | + | 219.322i | −0.841064 | + | 0.384101i | −0.788888 | − | 0.614537i | \(-0.789343\pi\) |
−0.0521759 | + | 0.998638i | \(0.516616\pi\) | |||||||
\(572\) | 572.642 | − | 82.3334i | 1.00112 | − | 0.143940i | ||||
\(573\) | −238.551 | + | 371.192i | −0.416319 | + | 0.647804i | ||||
\(574\) | − | 1700.25i | − | 2.96210i | ||||||
\(575\) | 62.9969 | + | 96.2102i | 0.109560 | + | 0.167322i | ||||
\(576\) | −1848.07 | −3.20845 | ||||||||
\(577\) | −254.986 | − | 163.869i | −0.441917 | − | 0.284003i | 0.300701 | − | 0.953719i | \(-0.402779\pi\) |
−0.742617 | + | 0.669716i | \(0.766416\pi\) | |||||||
\(578\) | 44.0868 | + | 306.631i | 0.0762748 | + | 0.530503i | ||||
\(579\) | 449.910 | + | 985.166i | 0.777047 | + | 1.70150i | ||||
\(580\) | 37.2159 | − | 126.746i | 0.0641653 | − | 0.218527i | ||||
\(581\) | 136.556 | − | 299.016i | 0.235036 | − | 0.514658i | ||||
\(582\) | −1090.48 | − | 944.906i | −1.87368 | − | 1.62355i | ||||
\(583\) | 45.6601 | − | 317.573i | 0.0783192 | − | 0.544722i | ||||
\(584\) | −786.914 | + | 231.059i | −1.34745 | + | 0.395648i | ||||
\(585\) | 688.009 | − | 596.163i | 1.17608 | − | 1.01908i | ||||
\(586\) | −183.036 | − | 284.809i | −0.312348 | − | 0.486023i | ||||
\(587\) | 76.5973 | − | 49.2261i | 0.130490 | − | 0.0838605i | −0.473768 | − | 0.880650i | \(-0.657106\pi\) |
0.604257 | + | 0.796789i | \(0.293470\pi\) | |||||||
\(588\) | 1103.59 | + | 1273.62i | 1.87686 | + | 2.16601i | ||||
\(589\) | 104.939 | + | 357.388i | 0.178164 | + | 0.606771i | ||||
\(590\) | −493.747 | − | 70.9901i | −0.836860 | − | 0.120322i | ||||
\(591\) | −377.426 | + | 435.573i | −0.638623 | + | 0.737010i | ||||
\(592\) | −13.3262 | − | 6.08585i | −0.0225104 | − | 0.0102801i | ||||
\(593\) | 591.586 | + | 173.705i | 0.997616 | + | 0.292926i | 0.739477 | − | 0.673181i | \(-0.235073\pi\) |
0.258139 | + | 0.966108i | \(0.416891\pi\) | |||||||
\(594\) | −567.420 | + | 259.132i | −0.955252 | + | 0.436249i | ||||
\(595\) | −303.180 | + | 43.5907i | −0.509546 | + | 0.0732617i | ||||
\(596\) | 154.888 | − | 241.010i | 0.259879 | − | 0.404379i | ||||
\(597\) | − | 800.167i | − | 1.34031i | ||||||
\(598\) | −456.987 | + | 1606.95i | −0.764192 | + | 2.68721i | ||||
\(599\) | 553.980 | 0.924842 | 0.462421 | − | 0.886661i | \(-0.346981\pi\) | ||||
0.462421 | + | 0.886661i | \(0.346981\pi\) | |||||||
\(600\) | 202.274 | + | 129.994i | 0.337123 | + | 0.216656i | ||||
\(601\) | −104.265 | − | 725.179i | −0.173486 | − | 1.20662i | −0.871449 | − | 0.490487i | \(-0.836819\pi\) |
0.697963 | − | 0.716134i | \(-0.254090\pi\) | |||||||
\(602\) | −381.128 | − | 834.554i | −0.633103 | − | 1.38630i | ||||
\(603\) | −282.341 | + | 961.566i | −0.468227 | + | 1.59464i | ||||
\(604\) | −424.893 | + | 930.386i | −0.703465 | + | 1.54037i | ||||
\(605\) | 179.417 | + | 155.466i | 0.296557 | + | 0.256968i | ||||
\(606\) | −197.467 | + | 1373.42i | −0.325854 | + | 2.26636i | ||||
\(607\) | −13.3763 | + | 3.92765i | −0.0220368 | + | 0.00647059i | −0.292732 | − | 0.956194i | \(-0.594565\pi\) |
0.270696 | + | 0.962665i | \(0.412746\pi\) | |||||||
\(608\) | −355.580 | + | 308.112i | −0.584836 | + | 0.506763i | ||||
\(609\) | −241.582 | − | 375.909i | −0.396687 | − | 0.617256i | ||||
\(610\) | −429.549 | + | 276.054i | −0.704179 | + | 0.452548i | ||||
\(611\) | −1033.94 | − | 1193.24i | −1.69222 | − | 1.95292i | ||||
\(612\) | 491.962 | + | 1675.47i | 0.803859 | + | 2.73769i | ||||
\(613\) | 78.1269 | + | 11.2330i | 0.127450 | + | 0.0183246i | 0.205745 | − | 0.978606i | \(-0.434038\pi\) |
−0.0782945 | + | 0.996930i | \(0.524947\pi\) | |||||||
\(614\) | −240.434 | + | 277.476i | −0.391587 | + | 0.451915i | ||||
\(615\) | −561.418 | − | 256.391i | −0.912875 | − | 0.416896i | ||||
\(616\) | 333.133 | + | 97.8168i | 0.540801 | + | 0.158793i | ||||
\(617\) | 181.400 | − | 82.8426i | 0.294003 | − | 0.134267i | −0.262953 | − | 0.964809i | \(-0.584696\pi\) |
0.556956 | + | 0.830542i | \(0.311969\pi\) | |||||||
\(618\) | 1625.87 | − | 233.765i | 2.63086 | − | 0.378261i | ||||
\(619\) | 301.696 | − | 469.449i | 0.487393 | − | 0.758399i | −0.507246 | − | 0.861801i | \(-0.669337\pi\) |
0.994640 | + | 0.103402i | \(0.0329729\pi\) | |||||||
\(620\) | − | 323.549i | − | 0.521852i | ||||||
\(621\) | −9.67471 | − | 1133.86i | −0.0155792 | − | 1.82586i | ||||
\(622\) | −1008.04 | −1.62065 | ||||||||
\(623\) | −519.206 | − | 333.673i | −0.833396 | − | 0.535591i | ||||
\(624\) | 49.3360 | + | 343.140i | 0.0790642 | + | 0.549903i | ||||
\(625\) | 10.3854 | + | 22.7408i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | 461.598 | − | 1572.06i | 0.737377 | − | 2.51127i | ||||
\(627\) | −146.523 | + | 320.841i | −0.233690 | + | 0.511709i | ||||
\(628\) | 783.492 | + | 678.900i | 1.24760 | + | 1.08105i | ||||
\(629\) | 9.71446 | − | 67.5656i | 0.0154443 | − | 0.107417i | ||||
\(630\) | 1274.35 | − | 374.183i | 2.02278 | − | 0.593942i | ||||
\(631\) | −467.622 | + | 405.197i | −0.741080 | + | 0.642150i | −0.941288 | − | 0.337604i | \(-0.890384\pi\) |
0.200208 | + | 0.979753i | \(0.435838\pi\) | |||||||
\(632\) | −187.269 | − | 291.396i | −0.296311 | − | 0.461070i | ||||
\(633\) | 369.333 | − | 237.356i | 0.583465 | − | 0.374970i | ||||
\(634\) | −419.665 | − | 484.319i | −0.661932 | − | 0.763910i | ||||
\(635\) | −18.6985 | − | 63.6813i | −0.0294465 | − | 0.100286i | ||||
\(636\) | 2934.12 | + | 421.862i | 4.61339 | + | 0.663305i | ||||
\(637\) | −685.720 | + | 791.363i | −1.07648 | + | 1.24233i | ||||
\(638\) | −100.059 | − | 45.6953i | −0.156832 | − | 0.0716227i | ||||
\(639\) | −133.624 | − | 39.2354i | −0.209113 | − | 0.0614013i | ||||
\(640\) | 451.820 | − | 206.339i | 0.705968 | − | 0.322405i | ||||
\(641\) | 799.496 | − | 114.950i | 1.24726 | − | 0.179329i | 0.513116 | − | 0.858320i | \(-0.328491\pi\) |
0.734147 | + | 0.678990i | \(0.237582\pi\) | |||||||
\(642\) | 148.919 | − | 231.723i | 0.231961 | − | 0.360939i | ||||
\(643\) | 171.317i | 0.266435i | 0.991087 | + | 0.133217i | \(0.0425308\pi\) | ||||
−0.991087 | + | 0.133217i | \(0.957469\pi\) | |||||||
\(644\) | −994.787 | + | 1168.03i | −1.54470 | + | 1.81372i | ||||
\(645\) | −333.041 | −0.516342 | ||||||||
\(646\) | 674.678 | + | 433.589i | 1.04439 | + | 0.671190i | ||||
\(647\) | 53.9498 | + | 375.229i | 0.0833845 | + | 0.579952i | 0.988086 | + | 0.153905i | \(0.0491850\pi\) |
−0.904701 | + | 0.426047i | \(0.859906\pi\) | |||||||
\(648\) | −352.511 | − | 771.892i | −0.543999 | − | 1.19119i | ||||
\(649\) | −73.6641 | + | 250.877i | −0.113504 | + | 0.386559i | ||||
\(650\) | −150.874 | + | 330.368i | −0.232114 | + | 0.508258i | ||||
\(651\) | −827.146 | − | 716.726i | −1.27058 | − | 1.10096i | ||||
\(652\) | −18.2180 | + | 126.709i | −0.0279417 | + | 0.194339i | ||||
\(653\) | 607.903 | − | 178.496i | 0.930939 | − | 0.273348i | 0.219109 | − | 0.975700i | \(-0.429685\pi\) |
0.711830 | + | 0.702352i | \(0.247867\pi\) | |||||||
\(654\) | 2416.74 | − | 2094.12i | 3.69533 | − | 3.20202i | ||||
\(655\) | 18.8357 | + | 29.3090i | 0.0287568 | + | 0.0447465i | ||||
\(656\) | 132.811 | − | 85.3524i | 0.202456 | − | 0.130110i | ||||
\(657\) | 1076.90 | + | 1242.81i | 1.63912 | + | 1.89165i | ||||
\(658\) | −648.958 | − | 2210.15i | −0.986259 | − | 3.35889i | ||||
\(659\) | 375.457 | + | 53.9826i | 0.569738 | + | 0.0819159i | 0.421162 | − | 0.906985i | \(-0.361622\pi\) |
0.148575 | + | 0.988901i | \(0.452531\pi\) | |||||||
\(660\) | 200.639 | − | 231.549i | 0.303998 | − | 0.350832i | ||||
\(661\) | −254.200 | − | 116.089i | −0.384569 | − | 0.175627i | 0.213743 | − | 0.976890i | \(-0.431434\pi\) |
−0.598312 | + | 0.801263i | \(0.704162\pi\) | |||||||
\(662\) | −822.659 | − | 241.554i | −1.24269 | − | 0.364886i | ||||
\(663\) | −1469.30 | + | 671.005i | −2.21613 | + | 1.01207i | ||||
\(664\) | 304.419 | − | 43.7688i | 0.458462 | − | 0.0659169i | ||||
\(665\) | 207.589 | − | 323.015i | 0.312164 | − | 0.485737i | ||||
\(666\) | 295.987i | 0.444424i | ||||||||
\(667\) | 149.991 | − | 132.225i | 0.224874 | − | 0.198239i | ||||
\(668\) | −926.274 | −1.38664 | ||||||||
\(669\) | 642.240 | + | 412.743i | 0.960000 | + | 0.616955i | ||||
\(670\) | −56.8988 | − | 395.740i | −0.0849236 | − | 0.590656i | ||||
\(671\) | 111.183 | + | 243.457i | 0.165698 | + | 0.362828i | ||||
\(672\) | 389.495 | − | 1326.50i | 0.579606 | − | 1.97396i | ||||
\(673\) | −464.744 | + | 1017.65i | −0.690556 | + | 1.51211i | 0.160503 | + | 0.987035i | \(0.448688\pi\) |
−0.851058 | + | 0.525071i | \(0.824039\pi\) | |||||||
\(674\) | −104.213 | − | 90.3013i | −0.154619 | − | 0.133978i | ||||
\(675\) | 35.0807 | − | 243.992i | 0.0519714 | − | 0.361469i | ||||
\(676\) | −2084.80 | + | 612.152i | −3.08402 | + | 0.905550i | ||||
\(677\) | 418.426 | − | 362.568i | 0.618060 | − | 0.535552i | −0.288581 | − | 0.957455i | \(-0.593183\pi\) |
0.906641 | + | 0.421904i | \(0.138638\pi\) | |||||||
\(678\) | 1304.73 | + | 2030.21i | 1.92439 | + | 2.99440i | ||||
\(679\) | 692.642 | − | 445.134i | 1.02009 | − | 0.655573i | ||||
\(680\) | −187.663 | − | 216.574i | −0.275975 | − | 0.318492i | ||||
\(681\) | 204.224 | + | 695.522i | 0.299888 | + | 1.02133i | ||||
\(682\) | −266.682 | − | 38.3431i | −0.391029 | − | 0.0562216i | ||||
\(683\) | −544.227 | + | 628.072i | −0.796819 | + | 0.919578i | −0.998202 | − | 0.0599343i | \(-0.980911\pi\) |
0.201383 | + | 0.979513i | \(0.435456\pi\) | |||||||
\(684\) | −1991.19 | − | 909.346i | −2.91109 | − | 1.32945i | ||||
\(685\) | 365.896 | + | 107.437i | 0.534155 | + | 0.156842i | ||||
\(686\) | 47.9827 | − | 21.9130i | 0.0699457 | − | 0.0319431i | ||||
\(687\) | −1519.75 | + | 218.507i | −2.21215 | + | 0.318060i | ||||
\(688\) | 46.0566 | − | 71.6655i | 0.0669428 | − | 0.104165i | ||||
\(689\) | 1841.86i | 2.67324i | ||||||||
\(690\) | 374.399 | + | 801.647i | 0.542607 | + | 1.16181i | ||||
\(691\) | 565.220 | 0.817973 | 0.408987 | − | 0.912540i | \(-0.365882\pi\) | ||||
0.408987 | + | 0.912540i | \(0.365882\pi\) | |||||||
\(692\) | 1160.47 | + | 745.786i | 1.67697 | + | 1.07773i | ||||
\(693\) | −99.0761 | − | 689.089i | −0.142967 | − | 0.994357i | ||||
\(694\) | 17.3167 | + | 37.9183i | 0.0249520 | + | 0.0546373i | ||||
\(695\) | 80.1925 | − | 273.111i | 0.115385 | − | 0.392965i | ||||
\(696\) | 173.670 | − | 380.283i | 0.249525 | − | 0.546384i | ||||
\(697\) | 555.923 | + | 481.710i | 0.797594 | + | 0.691119i | ||||
\(698\) | −26.2020 | + | 182.239i | −0.0375386 | + | 0.261087i | ||||
\(699\) | 866.396 | − | 254.397i | 1.23948 | − | 0.363944i | ||||
\(700\) | −252.066 | + | 218.417i | −0.360095 | + | 0.312024i | ||||
\(701\) | 534.023 | + | 830.956i | 0.761801 | + | 1.18539i | 0.977912 | + | 0.209017i | \(0.0670264\pi\) |
−0.216111 | + | 0.976369i | \(0.569337\pi\) | |||||||
\(702\) | 3012.57 | − | 1936.06i | 4.29141 | − | 2.75792i | ||||
\(703\) | 56.0363 | + | 64.6694i | 0.0797103 | + | 0.0919906i | ||||
\(704\) | −108.878 | − | 370.806i | −0.154657 | − | 0.526713i | ||||
\(705\) | −827.646 | − | 118.998i | −1.17397 | − | 0.168791i | ||||
\(706\) | 1150.28 | − | 1327.50i | 1.62930 | − | 1.88031i | ||||
\(707\) | −720.200 | − | 328.904i | −1.01867 | − | 0.465211i | ||||
\(708\) | −2317.90 | − | 680.597i | −3.27387 | − | 0.961295i | ||||
\(709\) | 337.586 | − | 154.170i | 0.476144 | − | 0.217448i | −0.162863 | − | 0.986649i | \(-0.552073\pi\) |
0.639007 | + | 0.769201i | \(0.279346\pi\) | |||||||
\(710\) | 54.9938 | − | 7.90691i | 0.0774561 | − | 0.0111365i | ||||
\(711\) | −375.498 | + | 584.286i | −0.528127 | + | 0.821781i | ||||
\(712\) | − | 577.429i | − | 0.810995i | ||||||
\(713\) | 261.254 | − | 414.248i | 0.366415 | − | 0.580993i | ||||
\(714\) | −2356.54 | −3.30048 | ||||||||
\(715\) | 160.151 | + | 102.923i | 0.223988 | + | 0.143948i | ||||
\(716\) | −88.4148 | − | 614.938i | −0.123484 | − | 0.858853i | ||||
\(717\) | 364.556 | + | 798.266i | 0.508446 | + | 1.11334i | ||||
\(718\) | −96.8417 | + | 329.813i | −0.134877 | + | 0.459349i | ||||
\(719\) | 161.580 | − | 353.811i | 0.224729 | − | 0.492088i | −0.763360 | − | 0.645974i | \(-0.776451\pi\) |
0.988089 | + | 0.153886i | \(0.0491788\pi\) | |||||||
\(720\) | 93.2008 | + | 80.7590i | 0.129446 | + | 0.112165i | ||||
\(721\) | −133.390 | + | 927.746i | −0.185007 | + | 1.28675i | ||||
\(722\) | 173.427 | − | 50.9227i | 0.240203 | − | 0.0705300i | ||||
\(723\) | −930.376 | + | 806.175i | −1.28683 | + | 1.11504i | ||||
\(724\) | 840.774 | + | 1308.27i | 1.16129 | + | 1.80700i | ||||
\(725\) | 36.5675 | − | 23.5005i | 0.0504379 | − | 0.0324145i | ||||
\(726\) | 1196.10 | + | 1380.37i | 1.64752 | + | 1.90133i | ||||
\(727\) | −349.449 | − | 1190.11i | −0.480672 | − | 1.63702i | −0.741004 | − | 0.671501i | \(-0.765650\pi\) |
0.260332 | − | 0.965519i | \(-0.416168\pi\) | |||||||
\(728\) | −1972.90 | − | 283.660i | −2.71002 | − | 0.389642i | ||||
\(729\) | 407.135 | − | 469.859i | 0.558485 | − | 0.644526i | ||||
\(730\) | −596.773 | − | 272.537i | −0.817497 | − | 0.373338i | ||||
\(731\) | 380.851 | + | 111.828i | 0.521000 | + | 0.152979i | ||||
\(732\) | −2249.35 | + | 1027.24i | −3.07288 | + | 1.40334i | ||||
\(733\) | 396.880 | − | 57.0628i | 0.541446 | − | 0.0778483i | 0.133835 | − | 0.991004i | \(-0.457271\pi\) |
0.407612 | + | 0.913155i | \(0.366362\pi\) | |||||||
\(734\) | −976.235 | + | 1519.05i | −1.33002 | + | 2.06955i | ||||
\(735\) | 554.546i | 0.754484i | ||||||||
\(736\) | 613.068 | + | 82.8133i | 0.832973 | + | 0.112518i | ||||
\(737\) | −209.568 | −0.284352 | ||||||||
\(738\) | −2683.29 | − | 1724.44i | −3.63589 | − | 2.33664i | ||||
\(739\) | 171.557 | + | 1193.21i | 0.232148 | + | 1.61462i | 0.688782 | + | 0.724969i | \(0.258146\pi\) |
−0.456634 | + | 0.889655i | \(0.650945\pi\) | |||||||
\(740\) | −30.8776 | − | 67.6126i | −0.0417265 | − | 0.0913683i | ||||
\(741\) | 570.470 | − | 1942.84i | 0.769865 | − | 2.62192i | ||||
\(742\) | −1116.27 | + | 2444.30i | −1.50441 | + | 3.29421i | ||||
\(743\) | 406.107 | + | 351.894i | 0.546578 | + | 0.473613i | 0.883834 | − | 0.467800i | \(-0.154953\pi\) |
−0.337256 | + | 0.941413i | \(0.609499\pi\) | |||||||
\(744\) | 145.727 | − | 1013.55i | 0.195870 | − | 1.36230i | ||||
\(745\) | 90.4538 | − | 26.5596i | 0.121415 | − | 0.0356505i | ||||
\(746\) | 70.8593 | − | 61.3999i | 0.0949856 | − | 0.0823055i | ||||
\(747\) | −333.400 | − | 518.781i | −0.446319 | − | 0.694486i | ||||
\(748\) | −307.191 | + | 197.420i | −0.410683 | + | 0.263930i | ||||
\(749\) | 102.928 | + | 118.785i | 0.137420 | + | 0.158592i | ||||
\(750\) | 54.1886 | + | 184.550i | 0.0722515 | + | 0.246066i | ||||
\(751\) | −577.613 | − | 83.0482i | −0.769125 | − | 0.110584i | −0.253428 | − | 0.967354i | \(-0.581558\pi\) |
−0.515698 | + | 0.856771i | \(0.672467\pi\) | |||||||
\(752\) | 140.063 | − | 161.641i | 0.186254 | − | 0.214948i | ||||
\(753\) | 830.710 | + | 379.372i | 1.10320 | + | 0.503815i | ||||
\(754\) | 605.901 | + | 177.909i | 0.803583 | + | 0.235953i | ||||
\(755\) | −306.154 | + | 139.816i | −0.405502 | + | 0.185187i | ||||
\(756\) | 3255.16 | − | 468.021i | 4.30576 | − | 0.619075i | ||||
\(757\) | −130.826 | + | 203.570i | −0.172822 | + | 0.268916i | −0.916850 | − | 0.399232i | \(-0.869277\pi\) |
0.744028 | + | 0.668149i | \(0.232913\pi\) | |||||||
\(758\) | 32.3996i | 0.0427435i | ||||||||
\(759\) | 443.851 | − | 134.450i | 0.584784 | − | 0.177141i | ||||
\(760\) | 359.237 | 0.472681 | ||||||||
\(761\) | −323.581 | − | 207.953i | −0.425205 | − | 0.273263i | 0.310488 | − | 0.950577i | \(-0.399507\pi\) |
−0.735694 | + | 0.677314i | \(0.763144\pi\) | |||||||
\(762\) | −72.6694 | − | 505.427i | −0.0953667 | − | 0.663290i | ||||
\(763\) | 758.014 | + | 1659.82i | 0.993465 | + | 2.17538i | ||||
\(764\) | 161.331 | − | 549.443i | 0.211166 | − | 0.719166i | ||||
\(765\) | −238.701 | + | 522.681i | −0.312027 | + | 0.683244i | ||||
\(766\) | −1108.93 | − | 960.896i | −1.44769 | − | 1.25443i | ||||
\(767\) | 213.619 | − | 1485.75i | 0.278513 | − | 1.93710i | ||||
\(768\) | 1650.02 | − | 484.489i | 2.14846 | − | 0.630845i | ||||
\(769\) | 207.435 | − | 179.743i | 0.269746 | − | 0.233736i | −0.509475 | − | 0.860485i | \(-0.670160\pi\) |
0.779221 | + | 0.626749i | \(0.215615\pi\) | |||||||
\(770\) | 150.156 | + | 233.648i | 0.195008 | + | 0.303438i | ||||
\(771\) | 1333.46 | − | 856.965i | 1.72952 | − | 1.11150i | ||||
\(772\) | −920.453 | − | 1062.26i | −1.19230 | − | 1.37598i | ||||
\(773\) | −31.3187 | − | 106.662i | −0.0405158 | − | 0.137984i | 0.936751 | − | 0.349995i | \(-0.113817\pi\) |
−0.977267 | + | 0.212011i | \(0.931999\pi\) | |||||||
\(774\) | −1703.62 | − | 244.944i | −2.20106 | − | 0.316465i | ||||
\(775\) | 69.7213 | − | 80.4626i | 0.0899629 | − | 0.103823i | ||||
\(776\) | 700.702 | + | 320.000i | 0.902966 | + | 0.412371i | ||||
\(777\) | −241.250 | − | 70.8375i | −0.310490 | − | 0.0911680i | ||||
\(778\) | 2268.31 | − | 1035.90i | 2.91556 | − | 1.33149i | ||||
\(779\) | −912.737 | + | 131.232i | −1.17168 | + | 0.168462i | ||||
\(780\) | −950.923 | + | 1479.67i | −1.21913 | + | 1.89701i | ||||
\(781\) | − | 29.1225i | − | 0.0372887i | ||||||
\(782\) | −158.971 | − | 1042.44i | −0.203287 | − | 1.33305i | ||||
\(783\) | −428.594 | −0.547375 | ||||||||
\(784\) | −119.330 | − | 76.6889i | −0.152207 | − | 0.0978175i | ||||
\(785\) | 48.5494 | + | 337.668i | 0.0618463 | + | 0.430151i | ||||
\(786\) | 111.349 | + | 243.821i | 0.141666 | + | 0.310204i | ||||
\(787\) | 326.838 | − | 1113.11i | 0.415296 | − | 1.41437i | −0.440826 | − | 0.897593i | \(-0.645314\pi\) |
0.856121 | − | 0.516775i | \(-0.172868\pi\) | |||||||
\(788\) | 310.723 | − | 680.389i | 0.394319 | − | 0.863438i | ||||
\(789\) | −957.373 | − | 829.568i | −1.21340 | − | 1.05142i | ||||
\(790\) | 39.4334 | − | 274.266i | 0.0499158 | − | 0.347172i | ||||
\(791\) | −1321.29 | + | 387.965i | −1.67040 | + | 0.490474i | ||||
\(792\) | 492.246 | − | 426.533i | 0.621523 | − | 0.538552i | ||||
\(793\) | −830.687 | − | 1292.57i | −1.04752 | − | 1.62998i | ||||
\(794\) | 756.825 | − | 486.382i | 0.953180 | − | 0.612572i | ||||
\(795\) | 638.773 | + | 737.183i | 0.803487 | + | 0.927274i | ||||
\(796\) | 292.568 | + | 996.395i | 0.367548 | + | 1.25175i | ||||
\(797\) | 1565.22 | + | 225.045i | 1.96389 | + | 0.282365i | 0.999863 | + | 0.0165766i | \(0.00527674\pi\) |
0.964031 | + | 0.265789i | \(0.0856324\pi\) | |||||||
\(798\) | 1934.53 | − | 2232.57i | 2.42423 | − | 2.79771i | ||||
\(799\) | 906.504 | + | 413.986i | 1.13455 | + | 0.518131i | ||||
\(800\) | 129.038 | + | 37.8891i | 0.161298 | + | 0.0473614i | ||||
\(801\) | −1053.19 | + | 480.975i | −1.31484 | + | 0.600468i | ||||
\(802\) | −104.840 | + | 15.0737i | −0.130723 | + | 0.0187951i | ||||
\(803\) | −185.919 | + | 289.295i | −0.231530 | + | 0.360268i | ||||
\(804\) | − | 1936.23i | − | 2.40825i | ||||||
\(805\) | −499.091 | + | 76.1103i | −0.619988 | + | 0.0945469i | ||||
\(806\) | 1546.71 | 1.91899 | ||||||||
\(807\) | −1806.32 | − | 1160.85i | −2.23832 | − | 1.43848i | ||||
\(808\) | −105.420 | − | 733.213i | −0.130470 | − | 0.907441i | ||||
\(809\) | −253.512 | − | 555.114i | −0.313365 | − | 0.686173i | 0.685768 | − | 0.727820i | \(-0.259467\pi\) |
−0.999132 | + | 0.0416477i | \(0.986739\pi\) | |||||||
\(810\) | 191.243 | − | 651.314i | 0.236103 | − | 0.804092i | ||||
\(811\) | 43.9977 | − | 96.3416i | 0.0542512 | − | 0.118794i | −0.880565 | − | 0.473925i | \(-0.842837\pi\) |
0.934816 | + | 0.355132i | \(0.115564\pi\) | |||||||
\(812\) | 438.271 | + | 379.764i | 0.539743 | + | 0.467690i | ||||
\(813\) | −20.8254 | + | 144.844i | −0.0256155 | + | 0.178160i | ||||
\(814\) | −59.3883 | + | 17.4380i | −0.0729586 | + | 0.0214226i | ||||
\(815\) | −31.8351 | + | 27.5852i | −0.0390614 | + | 0.0338469i | ||||
\(816\) | −118.298 | − | 184.076i | −0.144973 | − | 0.225583i | ||||
\(817\) | −418.593 | + | 269.013i | −0.512354 | + | 0.329270i | ||||
\(818\) | 1201.70 | + | 1386.84i | 1.46908 | + | 1.69540i | ||||
\(819\) | 1125.97 | + | 3834.70i | 1.37481 | + | 4.68217i | ||||
\(820\) | 792.842 | + | 113.993i | 0.966880 | + | 0.139016i | ||||
\(821\) | −654.055 | + | 754.820i | −0.796657 | + | 0.919391i | −0.998193 | − | 0.0600903i | \(-0.980861\pi\) |
0.201536 | + | 0.979481i | \(0.435407\pi\) | |||||||
\(822\) | 2668.78 | + | 1218.79i | 3.24669 | + | 1.48271i | ||||
\(823\) | −1221.13 | − | 358.557i | −1.48376 | − | 0.435671i | −0.563215 | − | 0.826310i | \(-0.690436\pi\) |
−0.920544 | + | 0.390639i | \(0.872254\pi\) | |||||||
\(824\) | −797.671 | + | 364.284i | −0.968047 | + | 0.442092i | ||||
\(825\) | 99.7928 | − | 14.3480i | 0.120961 | − | 0.0173916i | ||||
\(826\) | 1183.94 | − | 1842.25i | 1.43334 | − | 2.23033i | ||||
\(827\) | − | 340.967i | − | 0.412294i | −0.978521 | − | 0.206147i | \(-0.933908\pi\) | ||
0.978521 | − | 0.206147i | \(-0.0660924\pi\) | |||||||
\(828\) | 834.418 | + | 2754.60i | 1.00775 | + | 3.32681i | ||||
\(829\) | −1159.18 | −1.39829 | −0.699145 | − | 0.714980i | \(-0.746436\pi\) | ||||
−0.699145 | + | 0.714980i | \(0.746436\pi\) | |||||||
\(830\) | 206.966 | + | 133.009i | 0.249357 | + | 0.160252i | ||||
\(831\) | 360.185 | + | 2505.14i | 0.433436 | + | 3.01461i | ||||
\(832\) | 921.634 | + | 2018.10i | 1.10773 | + | 2.42560i | ||||
\(833\) | 186.205 | − | 634.154i | 0.223535 | − | 0.761290i | ||||
\(834\) | 909.725 | − | 1992.02i | 1.09080 | − | 2.38851i | ||||
\(835\) | −230.353 | − | 199.602i | −0.275872 | − | 0.239044i | ||||
\(836\) | 65.1454 | − | 453.096i | 0.0779252 | − | 0.541981i | ||||
\(837\) | −1007.25 | + | 295.755i | −1.20340 | + | 0.353351i | ||||
\(838\) | −1627.53 | + | 1410.26i | −1.94216 | + | 1.68289i | ||||
\(839\) | −338.150 | − | 526.171i | −0.403039 | − | 0.627141i | 0.579109 | − | 0.815250i | \(-0.303401\pi\) |
−0.982148 | + | 0.188109i | \(0.939764\pi\) | |||||||
\(840\) | −888.002 | + | 570.684i | −1.05714 | + | 0.679386i | ||||
\(841\) | 501.245 | + | 578.467i | 0.596010 | + | 0.687833i | ||||
\(842\) | −457.981 | − | 1559.74i | −0.543920 | − | 1.85242i | ||||
\(843\) | −613.340 | − | 88.1850i | −0.727568 | − | 0.104609i | ||||
\(844\) | −373.121 | + | 430.604i | −0.442086 | + | 0.510194i | ||||
\(845\) | −650.377 | − | 297.017i | −0.769676 | − | 0.351499i | ||||
\(846\) | −4146.19 | − | 1217.43i | −4.90093 | − | 1.43904i | ||||
\(847\) | −948.037 | + | 432.954i | −1.11929 | + | 0.511162i | ||||
\(848\) | −246.968 | + | 35.5086i | −0.291236 | + | 0.0418734i | ||||
\(849\) | −669.241 | + | 1041.36i | −0.788270 | + | 1.22657i | ||||
\(850\) | − | 229.238i | − | 0.269692i | ||||||
\(851\) | 15.0613 | − | 111.499i | 0.0176983 | − | 0.131021i | ||||
\(852\) | 269.068 | 0.315807 | ||||||||
\(853\) | −904.114 | − | 581.039i | −1.05992 | − | 0.681171i | −0.110087 | − | 0.993922i | \(-0.535113\pi\) |
−0.949835 | + | 0.312751i | \(0.898749\pi\) | |||||||
\(854\) | −319.014 | − | 2218.79i | −0.373553 | − | 2.59812i | ||||
\(855\) | −299.231 | − | 655.223i | −0.349977 | − | 0.766343i | ||||
\(856\) | −41.4292 | + | 141.095i | −0.0483987 | + | 0.164831i | ||||
\(857\) | 284.800 | − | 623.624i | 0.332322 | − | 0.727683i | −0.667536 | − | 0.744578i | \(-0.732651\pi\) |
0.999857 | + | 0.0168949i | \(0.00537807\pi\) | |||||||
\(858\) | 1106.91 | + | 959.143i | 1.29010 | + | 1.11788i | ||||
\(859\) | 27.7040 | − | 192.685i | 0.0322514 | − | 0.224313i | −0.967321 | − | 0.253555i | \(-0.918400\pi\) |
0.999572 | + | 0.0292416i | \(0.00930921\pi\) | |||||||
\(860\) | 414.713 | − | 121.771i | 0.482225 | − | 0.141594i | ||||
\(861\) | 2047.73 | − | 1774.37i | 2.37831 | − | 2.06082i | ||||
\(862\) | 1236.98 | + | 1924.78i | 1.43501 | + | 2.23292i | ||||
\(863\) | −30.4653 | + | 19.5789i | −0.0353016 | + | 0.0226870i | −0.558173 | − | 0.829725i | \(-0.688497\pi\) |
0.522871 | + | 0.852412i | \(0.324861\pi\) | |||||||
\(864\) | −868.369 | − | 1002.15i | −1.00506 | − | 1.15990i | ||||
\(865\) | 127.885 | + | 435.536i | 0.147844 | + | 0.503510i | ||||
\(866\) | −1187.88 | − | 170.791i | −1.37168 | − | 0.197218i | ||||
\(867\) | −323.288 | + | 373.094i | −0.372881 | + | 0.430328i | ||||
\(868\) | 1292.05 | + | 590.059i | 1.48853 | + | 0.679791i | ||||
\(869\) | −139.357 | − | 40.9188i | −0.160364 | − | 0.0470872i | ||||
\(870\) | 304.204 | − | 138.925i | 0.349660 | − | 0.159684i | ||||
\(871\) | 1190.84 | − | 171.216i | 1.36721 | − | 0.196575i | ||||
\(872\) | −922.974 | + | 1436.18i | −1.05846 | + | 1.64699i | ||||
\(873\) | − | 1544.58i | − | 1.76928i | ||||||
\(874\) | 1118.11 | + | 705.157i | 1.27930 | + | 0.806815i | ||||
\(875\) | −109.752 | −0.125431 | ||||||||
\(876\) | −2672.85 | − | 1717.74i | −3.05120 | − | 1.96089i | ||||
\(877\) | −1.55361 | − | 10.8056i | −0.00177150 | − | 0.0123211i | 0.988917 | − | 0.148473i | \(-0.0474357\pi\) |
−0.990688 | + | 0.136152i | \(0.956527\pi\) | |||||||
\(878\) | −867.802 | − | 1900.22i | −0.988385 | − | 2.16426i | ||||
\(879\) | 152.001 | − | 517.667i | 0.172925 | − | 0.588928i | ||||
\(880\) | −10.7130 | + | 23.4582i | −0.0121739 | + | 0.0266570i | ||||
\(881\) | 7.60027 | + | 6.58568i | 0.00862687 | + | 0.00747523i | 0.659164 | − | 0.752000i | \(-0.270911\pi\) |
−0.650537 | + | 0.759475i | \(0.725456\pi\) | |||||||
\(882\) | −407.856 | + | 2836.70i | −0.462422 | + | 3.21622i | ||||
\(883\) | 939.783 | − | 275.945i | 1.06431 | − | 0.312509i | 0.297723 | − | 0.954652i | \(-0.403773\pi\) |
0.766584 | + | 0.642144i | \(0.221955\pi\) | |||||||
\(884\) | 1584.27 | − | 1372.78i | 1.79217 | − | 1.55292i | ||||
\(885\) | −429.772 | − | 668.739i | −0.485619 | − | 0.755637i | ||||
\(886\) | 478.940 | − | 307.796i | 0.540564 | − | 0.347400i | ||||
\(887\) | −110.697 | − | 127.751i | −0.124799 | − | 0.144025i | 0.689911 | − | 0.723894i | \(-0.257649\pi\) |
−0.814710 | + | 0.579868i | \(0.803104\pi\) | |||||||
\(888\) | −66.2749 | − | 225.711i | −0.0746339 | − | 0.254180i | ||||
\(889\) | 288.404 | + | 41.4662i | 0.324413 | + | 0.0466436i | ||||
\(890\) | 302.486 | − | 349.087i | 0.339872 | − | 0.392233i | ||||
\(891\) | −323.658 | − | 147.809i | −0.363252 | − | 0.165892i | ||||
\(892\) | −950.652 | − | 279.137i | −1.06575 | − | 0.312933i | ||||
\(893\) | −1136.38 | + | 518.965i | −1.27254 | + | 0.581148i | ||||
\(894\) | 717.915 | − | 103.221i | 0.803037 | − | 0.115459i | ||||
\(895\) | 110.525 | − | 171.980i | 0.123492 | − | 0.192157i | ||||
\(896\) | 2180.59i | 2.43369i | ||||||||
\(897\) | −2412.27 | + | 1126.62i | −2.68926 | + | 1.25599i | ||||
\(898\) | 1527.12 | 1.70058 | ||||||||
\(899\) | −155.730 | − | 100.081i | −0.173226 | − | 0.111325i | ||||
\(900\) | 89.0461 | + | 619.329i | 0.0989401 | + | 0.688143i | ||||
\(901\) | −482.942 | − | 1057.50i | −0.536007 | − | 1.17369i | ||||
\(902\) | 187.916 | − | 639.984i | 0.208333 | − | 0.709516i | ||||
\(903\) | 607.369 | − | 1329.95i | 0.672613 | − | 1.47282i | ||||
\(904\) | −973.686 | − | 843.704i | −1.07709 | − | 0.933301i | ||||
\(905\) | −72.8279 | + | 506.529i | −0.0804728 | + | 0.559700i | ||||
\(906\) | −2484.55 | + | 729.529i | −2.74233 | + | 0.805219i | ||||
\(907\) | 966.831 | − | 837.764i | 1.06597 | − | 0.923665i | 0.0687059 | − | 0.997637i | \(-0.478113\pi\) |
0.997260 | + | 0.0739720i | \(0.0235675\pi\) | |||||||
\(908\) | −508.613 | − | 791.417i | −0.560146 | − | 0.871604i | ||||
\(909\) | −1249.52 | + | 803.016i | −1.37461 | + | 0.883406i | ||||
\(910\) | −1044.13 | − | 1204.99i | −1.14739 | − | 1.32416i | ||||
\(911\) | −108.591 | − | 369.826i | −0.119199 | − | 0.405956i | 0.878178 | − | 0.478334i | \(-0.158759\pi\) |
−0.997377 | + | 0.0723786i | \(0.976941\pi\) | |||||||
\(912\) | 271.505 | + | 39.0366i | 0.297703 | + | 0.0428033i | ||||
\(913\) | 84.4487 | − | 97.4590i | 0.0924958 | − | 0.106746i | ||||
\(914\) | −126.418 | − | 57.7331i | −0.138313 | − | 0.0631653i | ||||
\(915\) | −780.746 | − | 229.248i | −0.853274 | − | 0.250544i | ||||
\(916\) | 1812.55 | − | 827.764i | 1.97877 | − | 0.903672i | ||||
\(917\) | −151.392 | + | 21.7669i | −0.165095 | + | 0.0237371i | ||||
\(918\) | −1222.01 | + | 1901.48i | −1.33116 | + | 2.07133i | ||||
\(919\) | 1414.33i | 1.53899i | 0.638653 | + | 0.769495i | \(0.279492\pi\) | ||||
−0.638653 | + | 0.769495i | \(0.720508\pi\) | |||||||
\(920\) | −312.353 | − | 354.321i | −0.339514 | − | 0.385131i | ||||
\(921\) | −585.099 | −0.635286 | ||||||||
\(922\) | 1936.67 | + | 1244.62i | 2.10051 | + | 1.34991i | ||||
\(923\) | 23.7930 | + | 165.484i | 0.0257779 | + | 0.179289i | ||||
\(924\) | 558.755 | + | 1223.50i | 0.604713 | + | 1.32414i | ||||
\(925\) | 6.89089 | − | 23.4682i | 0.00744962 | − | 0.0253711i | ||||
\(926\) | −1161.44 | + | 2543.21i | −1.25426 | + | 2.74644i | ||||
\(927\) | 1328.86 | + | 1151.46i | 1.43350 | + | 1.24214i | ||||
\(928\) | 33.2779 | − | 231.453i | 0.0358598 | − | 0.249410i | ||||
\(929\) | 289.257 | − | 84.9334i | 0.311363 | − | 0.0914245i | −0.122318 | − | 0.992491i | \(-0.539033\pi\) |
0.433681 | + | 0.901066i | \(0.357214\pi\) | |||||||
\(930\) | 619.050 | − | 536.410i | 0.665645 | − | 0.576785i | ||||
\(931\) | 447.934 | + | 696.999i | 0.481132 | + | 0.748657i | ||||
\(932\) | −985.850 | + | 633.567i | −1.05778 | + | 0.679793i | ||||
\(933\) | −1051.99 | − | 1214.06i | −1.12753 | − | 1.30124i | ||||
\(934\) | −0.129182 | − | 0.439953i | −0.000138310 | − | 0.000471041i | ||||
\(935\) | −118.937 | − | 17.1005i | −0.127205 | − | 0.0182893i | ||||
\(936\) | −2448.64 | + | 2825.88i | −2.61606 | + | 3.01910i | ||||
\(937\) | 878.215 | + | 401.068i | 0.937263 | + | 0.428034i | 0.824674 | − | 0.565608i | \(-0.191358\pi\) |
0.112589 | + | 0.993642i | \(0.464086\pi\) | |||||||
\(938\) | 1684.10 | + | 494.497i | 1.79542 | + | 0.527182i | ||||
\(939\) | 2375.06 | − | 1084.65i | 2.52935 | − | 1.15512i | ||||
\(940\) | 1074.12 | − | 154.435i | 1.14268 | − | 0.164293i | ||||
\(941\) | −91.2795 | + | 142.034i | −0.0970027 | + | 0.150939i | −0.886363 | − | 0.462991i | \(-0.846776\pi\) |
0.789360 | + | 0.613930i | \(0.210412\pi\) | |||||||
\(942\) | 2624.61i | 2.78621i | ||||||||
\(943\) | 923.051 | + | 786.140i | 0.978845 | + | 0.833658i | ||||
\(944\) | 203.337 | 0.215399 | ||||||||
\(945\) | 910.372 | + | 585.060i | 0.963356 | + | 0.619111i | ||||
\(946\) | −51.2217 | − | 356.255i | −0.0541455 | − | 0.376591i | ||||
\(947\) | −259.694 | − | 568.651i | −0.274228 | − | 0.600476i | 0.721540 | − | 0.692372i | \(-0.243434\pi\) |
−0.995769 | + | 0.0918964i | \(0.970707\pi\) | |||||||
\(948\) | 378.056 | − | 1287.54i | 0.398794 | − | 1.35817i | ||||
\(949\) | 820.102 | − | 1795.77i | 0.864175 | − | 1.89228i | ||||
\(950\) | 217.179 | + | 188.186i | 0.228609 | + | 0.198091i | ||||
\(951\) | 145.340 | − | 1010.86i | 0.152829 | − | 1.06295i | ||||
\(952\) | 1207.10 | − | 354.438i | 1.26797 | − | 0.372308i | ||||
\(953\) | −333.207 | + | 288.725i | −0.349640 | + | 0.302965i | −0.811919 | − | 0.583770i | \(-0.801577\pi\) |
0.462279 | + | 0.886734i | \(0.347032\pi\) | |||||||
\(954\) | 2725.37 | + | 4240.76i | 2.85678 | + | 4.44524i | ||||
\(955\) | 158.520 | − | 101.875i | 0.165990 | − | 0.106675i | ||||
\(956\) | −745.830 | − | 860.734i | −0.780157 | − | 0.900349i | ||||
\(957\) | −49.3865 | − | 168.195i | −0.0516055 | − | 0.175752i | ||||
\(958\) | 52.8904 | + | 7.60449i | 0.0552092 | + | 0.00793788i | ||||
\(959\) | −1096.32 | + | 1265.22i | −1.14319 | + | 1.31932i | ||||
\(960\) | 1068.76 | + | 488.088i | 1.11329 | + | 0.508425i | ||||
\(961\) | 487.027 | + | 143.004i | 0.506792 | + | 0.148808i | ||||
\(962\) | 323.218 | − | 147.609i | 0.335986 | − | 0.153440i | ||||
\(963\) | 291.856 | − | 41.9626i | 0.303070 | − | 0.0435749i | ||||
\(964\) | 863.771 | − | 1344.05i | 0.896028 | − | 1.39425i | ||||
\(965\) | − | 462.519i | − | 0.479294i | ||||||
\(966\) | −3884.07 | + | 33.1409i | −4.02077 | + | 0.0343074i | ||||
\(967\) | −811.313 | −0.839000 | −0.419500 | − | 0.907755i | \(-0.637795\pi\) | ||||
−0.419500 | + | 0.907755i | \(0.637795\pi\) | |||||||
\(968\) | −820.299 | − | 527.174i | −0.847416 | − | 0.544601i | ||||
\(969\) | 181.887 | + | 1265.05i | 0.187706 | + | 1.30552i | ||||
\(970\) | 255.981 | + | 560.520i | 0.263898 | + | 0.577856i | ||||
\(971\) | −206.236 | + | 702.375i | −0.212395 | + | 0.723352i | 0.782519 | + | 0.622627i | \(0.213934\pi\) |
−0.994914 | + | 0.100725i | \(0.967884\pi\) | |||||||
\(972\) | 113.130 | − | 247.719i | 0.116388 | − | 0.254855i | ||||
\(973\) | 944.384 | + | 818.313i | 0.970589 | + | 0.841021i | ||||
\(974\) | −293.170 | + | 2039.04i | −0.300996 | + | 2.09347i | ||||
\(975\) | −555.335 | + | 163.061i | −0.569575 | + | 0.167242i | ||||
\(976\) | 157.301 | − | 136.302i | 0.161169 | − | 0.139654i | ||||
\(977\) | −393.803 | − | 612.770i | −0.403074 | − | 0.627195i | 0.579081 | − | 0.815270i | \(-0.303412\pi\) |
−0.982155 | + | 0.188075i | \(0.939775\pi\) | |||||||
\(978\) | −272.638 | + | 175.214i | −0.278771 | + | 0.179155i | ||||
\(979\) | −158.554 | − | 182.981i | −0.161955 | − | 0.186906i | ||||
\(980\) | −202.760 | − | 690.539i | −0.206898 | − | 0.704631i | ||||
\(981\) | 3388.28 | + | 487.161i | 3.45391 | + | 0.496597i | ||||
\(982\) | 45.1180 | − | 52.0689i | 0.0459450 | − | 0.0530233i | ||||
\(983\) | 1674.41 | + | 764.676i | 1.70336 | + | 0.777900i | 0.997584 | + | 0.0694681i | \(0.0221302\pi\) |
0.705779 | + | 0.708432i | \(0.250597\pi\) | |||||||
\(984\) | 2432.33 | + | 714.195i | 2.47188 | + | 0.725808i | ||||
\(985\) | 223.890 | − | 102.247i | 0.227299 | − | 0.103804i | ||||
\(986\) | −394.523 | + | 56.7238i | −0.400125 | + | 0.0575292i | ||||
\(987\) | 1984.59 | − | 3088.08i | 2.01073 | − | 3.12875i | ||||
\(988\) | 2627.88i | 2.65979i | ||||||||
\(989\) | 629.294 | + | 178.960i | 0.636293 | + | 0.180950i | ||||
\(990\) | 521.029 | 0.526292 | ||||||||
\(991\) | −591.414 | − | 380.079i | −0.596785 | − | 0.383531i | 0.207096 | − | 0.978321i | \(-0.433599\pi\) |
−0.803881 | + | 0.594790i | \(0.797235\pi\) | |||||||
\(992\) | −81.5087 | − | 566.905i | −0.0821660 | − | 0.571477i | ||||
\(993\) | −567.600 | − | 1242.87i | −0.571601 | − | 1.25163i | ||||
\(994\) | −68.7175 | + | 234.030i | −0.0691323 | + | 0.235443i | ||||
\(995\) | −141.954 | + | 310.837i | −0.142668 | + | 0.312399i | ||||
\(996\) | 900.442 | + | 780.237i | 0.904058 | + | 0.783371i | ||||
\(997\) | −92.1546 | + | 640.950i | −0.0924319 | + | 0.642878i | 0.889959 | + | 0.456041i | \(0.150733\pi\) |
−0.982391 | + | 0.186837i | \(0.940176\pi\) | |||||||
\(998\) | 2292.79 | − | 673.223i | 2.29738 | − | 0.674572i | ||||
\(999\) | −182.261 | + | 157.930i | −0.182444 | + | 0.158088i |
(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 | 115.3.h.a.21.3 | yes | 160 | |
23.11 | odd | 22 | inner | 115.3.h.a.11.3 | ✓ | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.3.h.a.11.3 | ✓ | 160 | 23.11 | odd | 22 | inner | |
115.3.h.a.21.3 | yes | 160 | 1.1 | even | 1 | trivial |