Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(13,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.r (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 181.2 | ||
Character | \(\chi\) | \(=\) | 192.181 |
Dual form | 192.2.r.a.157.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38576 | − | 0.282266i | −0.979879 | − | 0.199592i | ||||
\(3\) | −0.980785 | + | 0.195090i | −0.566257 | + | 0.112635i | ||||
\(4\) | 1.84065 | + | 0.782304i | 0.920326 | + | 0.391152i | ||||
\(5\) | 2.00072 | + | 2.99429i | 0.894750 | + | 1.33909i | 0.940379 | + | 0.340129i | \(0.110471\pi\) |
−0.0456293 | + | 0.998958i | \(0.514529\pi\) | |||||||
\(6\) | 1.41420 | + | 0.00649411i | 0.577344 | + | 0.00265121i | ||||
\(7\) | −3.93986 | − | 1.63194i | −1.48913 | − | 0.616816i | −0.517999 | − | 0.855381i | \(-0.673323\pi\) |
−0.971127 | + | 0.238565i | \(0.923323\pi\) | |||||||
\(8\) | −2.32988 | − | 1.60364i | −0.823737 | − | 0.566972i | ||||
\(9\) | 0.923880 | − | 0.382683i | 0.307960 | − | 0.127561i | ||||
\(10\) | −1.92733 | − | 4.71410i | −0.609475 | − | 1.49073i | ||||
\(11\) | −0.787083 | + | 3.95693i | −0.237315 | + | 1.19306i | 0.659861 | + | 0.751387i | \(0.270615\pi\) |
−0.897176 | + | 0.441673i | \(0.854385\pi\) | |||||||
\(12\) | −1.95790 | − | 0.408179i | −0.565198 | − | 0.117831i | ||||
\(13\) | −0.507984 | + | 0.760252i | −0.140889 | + | 0.210856i | −0.895203 | − | 0.445658i | \(-0.852970\pi\) |
0.754314 | + | 0.656514i | \(0.227970\pi\) | |||||||
\(14\) | 4.99905 | + | 3.37356i | 1.33605 | + | 0.901623i | ||||
\(15\) | −2.54643 | − | 2.54643i | −0.657487 | − | 0.657487i | ||||
\(16\) | 2.77600 | + | 2.87990i | 0.694000 | + | 0.719975i | ||||
\(17\) | −3.70628 | + | 3.70628i | −0.898904 | + | 0.898904i | −0.995339 | − | 0.0964348i | \(-0.969256\pi\) |
0.0964348 | + | 0.995339i | \(0.469256\pi\) | |||||||
\(18\) | −1.38829 | + | 0.269527i | −0.327224 | + | 0.0635282i | ||||
\(19\) | 1.20422 | + | 0.804632i | 0.276266 | + | 0.184595i | 0.685983 | − | 0.727618i | \(-0.259372\pi\) |
−0.409717 | + | 0.912213i | \(0.634372\pi\) | |||||||
\(20\) | 1.34018 | + | 7.07662i | 0.299674 | + | 1.58238i | ||||
\(21\) | 4.18253 | + | 0.831957i | 0.912703 | + | 0.181548i | ||||
\(22\) | 2.20761 | − | 5.26119i | 0.470665 | − | 1.12169i | ||||
\(23\) | 2.69871 | + | 6.51527i | 0.562720 | + | 1.35853i | 0.907582 | + | 0.419874i | \(0.137926\pi\) |
−0.344862 | + | 0.938653i | \(0.612074\pi\) | |||||||
\(24\) | 2.59797 | + | 1.11829i | 0.530308 | + | 0.228269i | ||||
\(25\) | −3.04947 | + | 7.36208i | −0.609895 | + | 1.47242i | ||||
\(26\) | 0.918536 | − | 0.910139i | 0.180140 | − | 0.178493i | ||||
\(27\) | −0.831470 | + | 0.555570i | −0.160016 | + | 0.106920i | ||||
\(28\) | −5.97523 | − | 6.08601i | −1.12921 | − | 1.15015i | ||||
\(29\) | −1.13604 | − | 5.71125i | −0.210957 | − | 1.06055i | −0.930552 | − | 0.366159i | \(-0.880673\pi\) |
0.719595 | − | 0.694394i | \(-0.244327\pi\) | |||||||
\(30\) | 2.80997 | + | 4.24751i | 0.513028 | + | 0.775486i | ||||
\(31\) | − | 2.46811i | − | 0.443285i | −0.975128 | − | 0.221642i | \(-0.928858\pi\) | ||
0.975128 | − | 0.221642i | \(-0.0711418\pi\) | |||||||
\(32\) | −3.03397 | − | 4.77442i | −0.536335 | − | 0.844005i | ||||
\(33\) | − | 4.03446i | − | 0.702308i | ||||||
\(34\) | 6.18216 | − | 4.08985i | 1.06023 | − | 0.701403i | ||||
\(35\) | −2.99605 | − | 15.0621i | −0.506424 | − | 2.54597i | ||||
\(36\) | 1.99992 | + | 0.0183679i | 0.333319 | + | 0.00306132i | ||||
\(37\) | −3.29940 | + | 2.20459i | −0.542418 | + | 0.362432i | −0.796394 | − | 0.604778i | \(-0.793262\pi\) |
0.253976 | + | 0.967211i | \(0.418262\pi\) | |||||||
\(38\) | −1.44163 | − | 1.45493i | −0.233864 | − | 0.236022i | ||||
\(39\) | 0.349906 | − | 0.844747i | 0.0560297 | − | 0.135268i | ||||
\(40\) | 0.140316 | − | 10.1848i | 0.0221859 | − | 1.61035i | ||||
\(41\) | 0.457544 | + | 1.10461i | 0.0714563 | + | 0.172511i | 0.955572 | − | 0.294757i | \(-0.0952386\pi\) |
−0.884116 | + | 0.467267i | \(0.845239\pi\) | |||||||
\(42\) | −5.56114 | − | 2.33348i | −0.858103 | − | 0.360063i | ||||
\(43\) | 6.68723 | + | 1.33017i | 1.01979 | + | 0.202850i | 0.676550 | − | 0.736397i | \(-0.263474\pi\) |
0.343244 | + | 0.939246i | \(0.388474\pi\) | |||||||
\(44\) | −4.54427 | + | 6.66760i | −0.685075 | + | 1.00518i | ||||
\(45\) | 2.99429 | + | 2.00072i | 0.446362 | + | 0.298250i | ||||
\(46\) | −1.90073 | − | 9.79034i | −0.280247 | − | 1.44351i | ||||
\(47\) | 2.46296 | − | 2.46296i | 0.359260 | − | 0.359260i | −0.504280 | − | 0.863540i | \(-0.668242\pi\) |
0.863540 | + | 0.504280i | \(0.168242\pi\) | |||||||
\(48\) | −3.28450 | − | 2.28299i | −0.474077 | − | 0.329522i | ||||
\(49\) | 7.90949 | + | 7.90949i | 1.12993 | + | 1.12993i | ||||
\(50\) | 6.30390 | − | 9.34130i | 0.891505 | − | 1.32106i | ||||
\(51\) | 2.91200 | − | 4.35812i | 0.407762 | − | 0.610259i | ||||
\(52\) | −1.52977 | + | 1.00196i | −0.212141 | + | 0.138947i | ||||
\(53\) | 1.69490 | − | 8.52084i | 0.232812 | − | 1.17043i | −0.670655 | − | 0.741770i | \(-0.733987\pi\) |
0.903467 | − | 0.428657i | \(-0.141013\pi\) | |||||||
\(54\) | 1.30903 | − | 0.535191i | 0.178137 | − | 0.0728302i | ||||
\(55\) | −13.4229 | + | 5.55996i | −1.80995 | + | 0.749706i | ||||
\(56\) | 6.56235 | + | 10.1203i | 0.876931 | + | 1.35239i | ||||
\(57\) | −1.33805 | − | 0.554240i | −0.177230 | − | 0.0734109i | ||||
\(58\) | −0.0378162 | + | 8.23508i | −0.00496551 | + | 1.08132i | ||||
\(59\) | 3.49136 | + | 5.22519i | 0.454537 | + | 0.680262i | 0.985986 | − | 0.166828i | \(-0.0533524\pi\) |
−0.531449 | + | 0.847090i | \(0.678352\pi\) | |||||||
\(60\) | −2.69501 | − | 6.67919i | −0.347925 | − | 0.862279i | ||||
\(61\) | 8.64534 | − | 1.71967i | 1.10692 | − | 0.220181i | 0.392401 | − | 0.919794i | \(-0.371645\pi\) |
0.714521 | + | 0.699614i | \(0.246645\pi\) | |||||||
\(62\) | −0.696662 | + | 3.42020i | −0.0884762 | + | 0.434366i | ||||
\(63\) | −4.26447 | −0.537273 | ||||||||
\(64\) | 2.85669 | + | 7.47257i | 0.357086 | + | 0.934071i | ||||
\(65\) | −3.29275 | −0.408415 | ||||||||
\(66\) | −1.13879 | + | 5.59078i | −0.140175 | + | 0.688177i | ||||
\(67\) | 0.326267 | − | 0.0648985i | 0.0398598 | − | 0.00792861i | −0.175120 | − | 0.984547i | \(-0.556031\pi\) |
0.214980 | + | 0.976618i | \(0.431031\pi\) | |||||||
\(68\) | −9.72141 | + | 3.92253i | −1.17889 | + | 0.475677i | ||||
\(69\) | −3.91792 | − | 5.86359i | −0.471662 | − | 0.705893i | ||||
\(70\) | −0.0997315 | + | 21.7182i | −0.0119202 | + | 2.59582i | ||||
\(71\) | −10.0335 | − | 4.15601i | −1.19076 | − | 0.493228i | −0.302755 | − | 0.953068i | \(-0.597906\pi\) |
−0.888001 | + | 0.459841i | \(0.847906\pi\) | |||||||
\(72\) | −2.76622 | − | 0.589961i | −0.326002 | − | 0.0695276i | ||||
\(73\) | 12.5504 | − | 5.19854i | 1.46891 | − | 0.608443i | 0.502301 | − | 0.864693i | \(-0.332487\pi\) |
0.966611 | + | 0.256249i | \(0.0824868\pi\) | |||||||
\(74\) | 5.19445 | − | 2.12372i | 0.603843 | − | 0.246877i | ||||
\(75\) | 1.55461 | − | 7.81554i | 0.179511 | − | 0.902461i | ||||
\(76\) | 1.58708 | + | 2.42311i | 0.182050 | + | 0.277950i | ||||
\(77\) | 9.55848 | − | 14.3053i | 1.08929 | − | 1.63024i | ||||
\(78\) | −0.723328 | + | 1.07185i | −0.0819007 | + | 0.121363i | ||||
\(79\) | −3.74185 | − | 3.74185i | −0.420992 | − | 0.420992i | 0.464553 | − | 0.885545i | \(-0.346215\pi\) |
−0.885545 | + | 0.464553i | \(0.846215\pi\) | |||||||
\(80\) | −3.06926 | + | 14.0740i | −0.343153 | + | 1.57352i | ||||
\(81\) | 0.707107 | − | 0.707107i | 0.0785674 | − | 0.0785674i | ||||
\(82\) | −0.322252 | − | 1.65987i | −0.0355868 | − | 0.183302i | ||||
\(83\) | 4.11429 | + | 2.74908i | 0.451602 | + | 0.301751i | 0.760492 | − | 0.649347i | \(-0.224958\pi\) |
−0.308891 | + | 0.951098i | \(0.599958\pi\) | |||||||
\(84\) | 7.04774 | + | 4.80335i | 0.768971 | + | 0.524089i | ||||
\(85\) | −18.5129 | − | 3.68244i | −2.00801 | − | 0.399417i | ||||
\(86\) | −8.89143 | − | 3.73088i | −0.958787 | − | 0.402311i | ||||
\(87\) | 2.22842 | + | 5.37988i | 0.238912 | + | 0.576784i | ||||
\(88\) | 8.17930 | − | 7.95699i | 0.871916 | − | 0.848218i | ||||
\(89\) | −2.28974 | + | 5.52793i | −0.242712 | + | 0.585959i | −0.997550 | − | 0.0699521i | \(-0.977715\pi\) |
0.754838 | + | 0.655911i | \(0.227715\pi\) | |||||||
\(90\) | −3.58463 | − | 3.61770i | −0.377853 | − | 0.381339i | ||||
\(91\) | 3.24207 | − | 2.16628i | 0.339862 | − | 0.227088i | ||||
\(92\) | −0.129532 | + | 14.1036i | −0.0135046 | + | 1.47040i | ||||
\(93\) | 0.481504 | + | 2.42068i | 0.0499296 | + | 0.251013i | ||||
\(94\) | −4.10828 | + | 2.71786i | −0.423737 | + | 0.280326i | ||||
\(95\) | 5.21562i | 0.535111i | ||||||||
\(96\) | 3.90711 | + | 4.09078i | 0.398768 | + | 0.417513i | ||||
\(97\) | − | 0.186301i | − | 0.0189160i | −0.999955 | − | 0.00945798i | \(-0.996989\pi\) | ||
0.999955 | − | 0.00945798i | \(-0.00301061\pi\) | |||||||
\(98\) | −8.72806 | − | 13.1932i | −0.881668 | − | 1.33272i | ||||
\(99\) | 0.787083 | + | 3.95693i | 0.0791048 | + | 0.397687i | ||||
\(100\) | −11.3724 | + | 11.1654i | −1.13724 | + | 1.11654i | ||||
\(101\) | −8.59008 | + | 5.73971i | −0.854745 | + | 0.571122i | −0.903936 | − | 0.427667i | \(-0.859335\pi\) |
0.0491917 | + | 0.998789i | \(0.484335\pi\) | |||||||
\(102\) | −5.26548 | + | 5.21734i | −0.521360 | + | 0.516594i | ||||
\(103\) | 1.74997 | − | 4.22480i | 0.172430 | − | 0.416282i | −0.813913 | − | 0.580986i | \(-0.802667\pi\) |
0.986343 | + | 0.164704i | \(0.0526670\pi\) | |||||||
\(104\) | 2.40271 | − | 0.956674i | 0.235605 | − | 0.0938096i | ||||
\(105\) | 5.87695 | + | 14.1882i | 0.573532 | + | 1.38463i | ||||
\(106\) | −4.75386 | + | 11.3294i | −0.461736 | + | 1.10041i | ||||
\(107\) | 16.6536 | + | 3.31261i | 1.60996 | + | 0.320242i | 0.916434 | − | 0.400186i | \(-0.131054\pi\) |
0.693530 | + | 0.720427i | \(0.256054\pi\) | |||||||
\(108\) | −1.96507 | + | 0.372149i | −0.189089 | + | 0.0358101i | ||||
\(109\) | 8.24468 | + | 5.50892i | 0.789697 | + | 0.527659i | 0.883778 | − | 0.467906i | \(-0.154991\pi\) |
−0.0940813 | + | 0.995565i | \(0.529991\pi\) | |||||||
\(110\) | 20.1703 | − | 3.91593i | 1.92317 | − | 0.373369i | ||||
\(111\) | 2.80591 | − | 2.80591i | 0.266325 | − | 0.266325i | ||||
\(112\) | −6.23721 | − | 15.8767i | −0.589361 | − | 1.50020i | ||||
\(113\) | 0.0137915 | + | 0.0137915i | 0.00129740 | + | 0.00129740i | 0.707755 | − | 0.706458i | \(-0.249708\pi\) |
−0.706458 | + | 0.707755i | \(0.749708\pi\) | |||||||
\(114\) | 1.69778 | + | 1.14573i | 0.159011 | + | 0.107307i | ||||
\(115\) | −14.1092 | + | 21.1160i | −1.31569 | + | 1.96907i | ||||
\(116\) | 2.37689 | − | 11.4012i | 0.220688 | − | 1.05857i | ||||
\(117\) | −0.178380 | + | 0.896778i | −0.0164913 | + | 0.0829072i | ||||
\(118\) | −3.36329 | − | 8.22635i | −0.309616 | − | 0.757297i | ||||
\(119\) | 20.6506 | − | 8.55377i | 1.89304 | − | 0.784123i | ||||
\(120\) | 1.84933 | + | 10.0164i | 0.168820 | + | 0.914372i | ||||
\(121\) | −4.87515 | − | 2.01935i | −0.443196 | − | 0.183578i | ||||
\(122\) | −12.4658 | − | 0.0572437i | −1.12860 | − | 0.00518260i | ||||
\(123\) | −0.664250 | − | 0.994121i | −0.0598934 | − | 0.0896369i | ||||
\(124\) | 1.93081 | − | 4.54292i | 0.173392 | − | 0.407967i | ||||
\(125\) | −10.4853 | + | 2.08566i | −0.937835 | + | 0.186547i | ||||
\(126\) | 5.90953 | + | 1.20371i | 0.526462 | + | 0.107235i | ||||
\(127\) | 2.66259 | 0.236267 | 0.118134 | − | 0.992998i | \(-0.462309\pi\) | ||||
0.118134 | + | 0.992998i | \(0.462309\pi\) | |||||||
\(128\) | −1.84943 | − | 11.1615i | −0.163468 | − | 0.986549i | ||||
\(129\) | −6.81824 | −0.600313 | ||||||||
\(130\) | 4.56295 | + | 0.929431i | 0.400198 | + | 0.0815164i | ||||
\(131\) | 2.06604 | − | 0.410961i | 0.180511 | − | 0.0359058i | −0.104007 | − | 0.994577i | \(-0.533166\pi\) |
0.284518 | + | 0.958671i | \(0.408166\pi\) | |||||||
\(132\) | 3.15617 | − | 7.42603i | 0.274709 | − | 0.646353i | ||||
\(133\) | −3.43133 | − | 5.13535i | −0.297534 | − | 0.445291i | ||||
\(134\) | −0.470445 | − | 0.00216032i | −0.0406403 | − | 0.000186623i | ||||
\(135\) | −3.32708 | − | 1.37812i | −0.286349 | − | 0.118610i | ||||
\(136\) | 14.5787 | − | 2.69166i | 1.25011 | − | 0.230808i | ||||
\(137\) | −13.0962 | + | 5.42463i | −1.11889 | + | 0.463457i | −0.863989 | − | 0.503511i | \(-0.832041\pi\) |
−0.254896 | + | 0.966968i | \(0.582041\pi\) | |||||||
\(138\) | 3.77420 | + | 9.23141i | 0.321282 | + | 0.785830i | ||||
\(139\) | −2.62933 | + | 13.2185i | −0.223016 | + | 1.12118i | 0.693277 | + | 0.720671i | \(0.256166\pi\) |
−0.916293 | + | 0.400508i | \(0.868834\pi\) | |||||||
\(140\) | 6.26850 | − | 30.0680i | 0.529785 | − | 2.54121i | ||||
\(141\) | −1.93514 | + | 2.89614i | −0.162968 | + | 0.243899i | ||||
\(142\) | 12.7309 | + | 8.59134i | 1.06835 | + | 0.720969i | ||||
\(143\) | −2.60844 | − | 2.60844i | −0.218129 | − | 0.218129i | ||||
\(144\) | 3.66678 | + | 1.59835i | 0.305565 | + | 0.133196i | ||||
\(145\) | 14.8283 | − | 14.8283i | 1.23142 | − | 1.23142i | ||||
\(146\) | −18.8592 | + | 3.66138i | −1.56080 | + | 0.303018i | ||||
\(147\) | −9.30058 | − | 6.21445i | −0.767099 | − | 0.512559i | ||||
\(148\) | −7.79771 | + | 1.47675i | −0.640968 | + | 0.121388i | ||||
\(149\) | −10.4120 | − | 2.07108i | −0.852984 | − | 0.169669i | −0.250813 | − | 0.968036i | \(-0.580698\pi\) |
−0.602172 | + | 0.798367i | \(0.705698\pi\) | |||||||
\(150\) | −4.36037 | + | 10.3916i | −0.356023 | + | 0.848474i | ||||
\(151\) | −5.53145 | − | 13.3541i | −0.450143 | − | 1.08674i | −0.972267 | − | 0.233872i | \(-0.924860\pi\) |
0.522125 | − | 0.852869i | \(-0.325140\pi\) | |||||||
\(152\) | −1.51534 | − | 3.80582i | −0.122911 | − | 0.308693i | ||||
\(153\) | −2.00582 | + | 4.84249i | −0.162161 | + | 0.391492i | ||||
\(154\) | −17.2836 | + | 17.1256i | −1.39276 | + | 1.38002i | ||||
\(155\) | 7.39023 | − | 4.93799i | 0.593597 | − | 0.396629i | ||||
\(156\) | 1.30490 | − | 1.28115i | 0.104476 | − | 0.102574i | ||||
\(157\) | −1.55492 | − | 7.81711i | −0.124096 | − | 0.623873i | −0.991906 | − | 0.126977i | \(-0.959473\pi\) |
0.867810 | − | 0.496897i | \(-0.165527\pi\) | |||||||
\(158\) | 4.12911 | + | 6.24150i | 0.328494 | + | 0.496547i | ||||
\(159\) | 8.68777i | 0.688985i | ||||||||
\(160\) | 8.22586 | − | 18.6369i | 0.650312 | − | 1.47337i | ||||
\(161\) | − | 30.0734i | − | 2.37011i | ||||||
\(162\) | −1.17947 | + | 0.780287i | −0.0926680 | + | 0.0613051i | ||||
\(163\) | 1.45059 | + | 7.29259i | 0.113619 | + | 0.571200i | 0.995091 | + | 0.0989642i | \(0.0315529\pi\) |
−0.881472 | + | 0.472236i | \(0.843447\pi\) | |||||||
\(164\) | −0.0219611 | + | 2.39114i | −0.00171487 | + | 0.186716i | ||||
\(165\) | 12.0803 | − | 8.07182i | 0.940452 | − | 0.628390i | ||||
\(166\) | −4.92544 | − | 4.97088i | −0.382288 | − | 0.385815i | ||||
\(167\) | −7.29027 | + | 17.6003i | −0.564138 | + | 1.36195i | 0.342292 | + | 0.939594i | \(0.388797\pi\) |
−0.906430 | + | 0.422356i | \(0.861203\pi\) | |||||||
\(168\) | −8.41064 | − | 8.64562i | −0.648895 | − | 0.667024i | ||||
\(169\) | 4.65495 | + | 11.2380i | 0.358073 | + | 0.864465i | ||||
\(170\) | 24.6150 | + | 10.3285i | 1.88788 | + | 0.792163i | ||||
\(171\) | 1.42047 | + | 0.282549i | 0.108626 | + | 0.0216071i | ||||
\(172\) | 11.2683 | + | 7.67984i | 0.859198 | + | 0.585582i | ||||
\(173\) | 15.1191 | + | 10.1023i | 1.14948 | + | 0.768061i | 0.976213 | − | 0.216813i | \(-0.0695663\pi\) |
0.173271 | + | 0.984874i | \(0.444566\pi\) | |||||||
\(174\) | −1.56950 | − | 8.08423i | −0.118983 | − | 0.612864i | ||||
\(175\) | 24.0290 | − | 24.0290i | 1.81642 | − | 1.81642i | ||||
\(176\) | −13.5805 | + | 8.71773i | −1.02367 | + | 0.657123i | ||||
\(177\) | −4.44366 | − | 4.44366i | −0.334006 | − | 0.334006i | ||||
\(178\) | 4.73337 | − | 7.01405i | 0.354781 | − | 0.525726i | ||||
\(179\) | 7.52202 | − | 11.2575i | 0.562223 | − | 0.841425i | −0.436066 | − | 0.899915i | \(-0.643628\pi\) |
0.998288 | + | 0.0584895i | \(0.0186284\pi\) | |||||||
\(180\) | 3.94627 | + | 6.02508i | 0.294138 | + | 0.449083i | ||||
\(181\) | −3.75633 | + | 18.8844i | −0.279206 | + | 1.40366i | 0.545505 | + | 0.838108i | \(0.316338\pi\) |
−0.824711 | + | 0.565555i | \(0.808662\pi\) | |||||||
\(182\) | −5.10420 | + | 2.08682i | −0.378348 | + | 0.154685i | ||||
\(183\) | −8.14373 | + | 3.37324i | −0.602002 | + | 0.249357i | ||||
\(184\) | 4.16045 | − | 19.5076i | 0.306713 | − | 1.43812i | ||||
\(185\) | −13.2024 | − | 5.46860i | −0.970657 | − | 0.402059i | ||||
\(186\) | 0.0160282 | − | 3.49039i | 0.00117524 | − | 0.255928i | ||||
\(187\) | −11.7483 | − | 17.5826i | −0.859124 | − | 1.28577i | ||||
\(188\) | 6.46024 | − | 2.60667i | 0.471161 | − | 0.190111i | ||||
\(189\) | 4.18253 | − | 0.831957i | 0.304234 | − | 0.0605160i | ||||
\(190\) | 1.47219 | − | 7.22759i | 0.106804 | − | 0.524344i | ||||
\(191\) | −2.64758 | −0.191572 | −0.0957860 | − | 0.995402i | \(-0.530536\pi\) | ||||
−0.0957860 | + | 0.995402i | \(0.530536\pi\) | |||||||
\(192\) | −4.25963 | − | 6.77167i | −0.307412 | − | 0.488704i | ||||
\(193\) | −20.0210 | −1.44114 | −0.720570 | − | 0.693382i | \(-0.756120\pi\) | ||||
−0.720570 | + | 0.693382i | \(0.756120\pi\) | |||||||
\(194\) | −0.0525863 | + | 0.258168i | −0.00377548 | + | 0.0185354i | ||||
\(195\) | 3.22948 | − | 0.642384i | 0.231268 | − | 0.0460020i | ||||
\(196\) | 8.37099 | + | 20.7463i | 0.597928 | + | 1.48188i | ||||
\(197\) | −7.08646 | − | 10.6056i | −0.504889 | − | 0.755620i | 0.488232 | − | 0.872714i | \(-0.337642\pi\) |
−0.993121 | + | 0.117094i | \(0.962642\pi\) | |||||||
\(198\) | 0.0262002 | − | 5.70552i | 0.00186197 | − | 0.405474i | ||||
\(199\) | 16.2036 | + | 6.71174i | 1.14864 | + | 0.475783i | 0.874078 | − | 0.485786i | \(-0.161467\pi\) |
0.274564 | + | 0.961569i | \(0.411467\pi\) | |||||||
\(200\) | 18.9110 | − | 12.2625i | 1.33721 | − | 0.867091i | ||||
\(201\) | −0.307336 | + | 0.127303i | −0.0216778 | + | 0.00897926i | ||||
\(202\) | 13.5239 | − | 5.52916i | 0.951538 | − | 0.389030i | ||||
\(203\) | −4.84461 | + | 24.3555i | −0.340025 | + | 1.70942i | ||||
\(204\) | 8.76936 | − | 5.74371i | 0.613978 | − | 0.402140i | ||||
\(205\) | −2.39210 | + | 3.58003i | −0.167072 | + | 0.250040i | ||||
\(206\) | −3.61755 | + | 5.36060i | −0.252047 | + | 0.373491i | ||||
\(207\) | 4.98657 | + | 4.98657i | 0.346591 | + | 0.346591i | ||||
\(208\) | −3.59961 | + | 0.647516i | −0.249588 | + | 0.0448971i | ||||
\(209\) | −4.13169 | + | 4.13169i | −0.285795 | + | 0.285795i | ||||
\(210\) | −4.13919 | − | 21.3203i | −0.285631 | − | 1.47124i | ||||
\(211\) | −4.81268 | − | 3.21573i | −0.331319 | − | 0.221380i | 0.378773 | − | 0.925490i | \(-0.376346\pi\) |
−0.710091 | + | 0.704110i | \(0.751346\pi\) | |||||||
\(212\) | 9.78561 | − | 14.3580i | 0.672078 | − | 0.986109i | ||||
\(213\) | 10.6515 | + | 2.11872i | 0.729829 | + | 0.145172i | ||||
\(214\) | −22.1428 | − | 9.29121i | −1.51365 | − | 0.635134i | ||||
\(215\) | 9.39636 | + | 22.6848i | 0.640827 | + | 1.54709i | ||||
\(216\) | 2.82816 | + | 0.0389636i | 0.192432 | + | 0.00265114i | ||||
\(217\) | −4.02781 | + | 9.72399i | −0.273425 | + | 0.660107i | ||||
\(218\) | −9.87015 | − | 9.96122i | −0.668491 | − | 0.674659i | ||||
\(219\) | −11.2951 | + | 7.54711i | −0.763249 | + | 0.509987i | ||||
\(220\) | −29.0566 | − | 0.266866i | −1.95899 | − | 0.0179921i | ||||
\(221\) | −0.934975 | − | 4.70044i | −0.0628932 | − | 0.316186i | ||||
\(222\) | −4.68033 | + | 3.09630i | −0.314123 | + | 0.207810i | ||||
\(223\) | 11.0608i | 0.740687i | 0.928895 | + | 0.370344i | \(0.120760\pi\) | ||||
−0.928895 | + | 0.370344i | \(0.879240\pi\) | |||||||
\(224\) | 4.16183 | + | 23.7618i | 0.278074 | + | 1.58765i | ||||
\(225\) | 7.96866i | 0.531244i | ||||||||
\(226\) | −0.0152188 | − | 0.0230046i | −0.00101234 | − | 0.00153024i | ||||
\(227\) | 1.44779 | + | 7.27852i | 0.0960930 | + | 0.483092i | 0.998623 | + | 0.0524646i | \(0.0167077\pi\) |
−0.902530 | + | 0.430627i | \(0.858292\pi\) | |||||||
\(228\) | −2.02931 | − | 2.06693i | −0.134394 | − | 0.136886i | ||||
\(229\) | 23.6508 | − | 15.8029i | 1.56289 | − | 1.04429i | 0.591644 | − | 0.806199i | \(-0.298479\pi\) |
0.971243 | − | 0.238088i | \(-0.0765208\pi\) | |||||||
\(230\) | 25.5123 | − | 25.2791i | 1.68223 | − | 1.66685i | ||||
\(231\) | −6.58400 | + | 15.8952i | −0.433195 | + | 1.04583i | ||||
\(232\) | −6.51195 | + | 15.1283i | −0.427530 | + | 0.993224i | ||||
\(233\) | −0.454136 | − | 1.09638i | −0.0297514 | − | 0.0718263i | 0.908306 | − | 0.418307i | \(-0.137377\pi\) |
−0.938057 | + | 0.346481i | \(0.887377\pi\) | |||||||
\(234\) | 0.500322 | − | 1.19237i | 0.0327071 | − | 0.0779475i | ||||
\(235\) | 12.3025 | + | 2.44712i | 0.802528 | + | 0.159633i | ||||
\(236\) | 2.33869 | + | 12.3491i | 0.152236 | + | 0.803856i | ||||
\(237\) | 4.39996 | + | 2.93996i | 0.285808 | + | 0.190971i | ||||
\(238\) | −31.0312 | + | 6.02449i | −2.01146 | + | 0.390510i | ||||
\(239\) | −12.5377 | + | 12.5377i | −0.810996 | + | 0.810996i | −0.984783 | − | 0.173787i | \(-0.944400\pi\) |
0.173787 | + | 0.984783i | \(0.444400\pi\) | |||||||
\(240\) | 0.264575 | − | 14.4024i | 0.0170783 | − | 0.929670i | ||||
\(241\) | −16.7220 | − | 16.7220i | −1.07716 | − | 1.07716i | −0.996763 | − | 0.0803930i | \(-0.974382\pi\) |
−0.0803930 | − | 0.996763i | \(-0.525618\pi\) | |||||||
\(242\) | 6.18579 | + | 4.17443i | 0.397638 | + | 0.268342i | ||||
\(243\) | −0.555570 | + | 0.831470i | −0.0356398 | + | 0.0533388i | ||||
\(244\) | 17.2584 | + | 3.59798i | 1.10485 | + | 0.230337i | ||||
\(245\) | −7.85863 | + | 39.5080i | −0.502069 | + | 2.52407i | ||||
\(246\) | 0.639884 | + | 1.56511i | 0.0407975 | + | 0.0997876i | ||||
\(247\) | −1.22345 | + | 0.506768i | −0.0778460 | + | 0.0322449i | ||||
\(248\) | −3.95795 | + | 5.75039i | −0.251330 | + | 0.365150i | ||||
\(249\) | −4.57155 | − | 1.89360i | −0.289710 | − | 0.120002i | ||||
\(250\) | 15.1188 | + | 0.0694268i | 0.956198 | + | 0.00439094i | ||||
\(251\) | −4.26066 | − | 6.37653i | −0.268931 | − | 0.402483i | 0.672283 | − | 0.740294i | \(-0.265314\pi\) |
−0.941214 | + | 0.337811i | \(0.890314\pi\) | |||||||
\(252\) | −7.84941 | − | 3.33611i | −0.494466 | − | 0.210155i | ||||
\(253\) | −27.9046 | + | 5.55057i | −1.75435 | + | 0.348961i | ||||
\(254\) | −3.68971 | − | 0.751559i | −0.231513 | − | 0.0471570i | ||||
\(255\) | 18.8756 | 1.18204 | ||||||||
\(256\) | −0.587650 | + | 15.9892i | −0.0367281 | + | 0.999325i | ||||
\(257\) | 19.4102 | 1.21078 | 0.605389 | − | 0.795930i | \(-0.293018\pi\) | ||||
0.605389 | + | 0.795930i | \(0.293018\pi\) | |||||||
\(258\) | 9.44844 | + | 1.92456i | 0.588234 | + | 0.119818i | ||||
\(259\) | 16.5969 | − | 3.30134i | 1.03128 | − | 0.205135i | ||||
\(260\) | −6.06081 | − | 2.57593i | −0.375875 | − | 0.159753i | ||||
\(261\) | −3.23517 | − | 4.84177i | −0.200252 | − | 0.299698i | ||||
\(262\) | −2.97903 | − | 0.0136800i | −0.184045 | − | 0.000845150i | ||||
\(263\) | −6.67555 | − | 2.76510i | −0.411632 | − | 0.170504i | 0.167251 | − | 0.985914i | \(-0.446511\pi\) |
−0.578883 | + | 0.815411i | \(0.696511\pi\) | |||||||
\(264\) | −6.46980 | + | 9.39980i | −0.398189 | + | 0.578518i | ||||
\(265\) | 28.9049 | − | 11.9728i | 1.77561 | − | 0.735483i | ||||
\(266\) | 3.30546 | + | 8.08490i | 0.202671 | + | 0.495717i | ||||
\(267\) | 1.16730 | − | 5.86842i | 0.0714376 | − | 0.359141i | ||||
\(268\) | 0.651314 | + | 0.135784i | 0.0397853 | + | 0.00829435i | ||||
\(269\) | −2.91731 | + | 4.36606i | −0.177871 | + | 0.266203i | −0.909683 | − | 0.415304i | \(-0.863675\pi\) |
0.731811 | + | 0.681507i | \(0.238675\pi\) | |||||||
\(270\) | 4.22153 | + | 2.84886i | 0.256914 | + | 0.173376i | ||||
\(271\) | −15.6337 | − | 15.6337i | −0.949681 | − | 0.949681i | 0.0491118 | − | 0.998793i | \(-0.484361\pi\) |
−0.998793 | + | 0.0491118i | \(0.984361\pi\) | |||||||
\(272\) | −20.9623 | − | 0.385084i | −1.27103 | − | 0.0233491i | ||||
\(273\) | −2.75716 | + | 2.75716i | −0.166871 | + | 0.166871i | ||||
\(274\) | 19.6794 | − | 3.82061i | 1.18887 | − | 0.230812i | ||||
\(275\) | −26.7311 | − | 17.8611i | −1.61194 | − | 1.07707i | ||||
\(276\) | −2.62442 | − | 13.8578i | −0.157972 | − | 0.834143i | ||||
\(277\) | −4.52942 | − | 0.900957i | −0.272146 | − | 0.0541333i | 0.0571304 | − | 0.998367i | \(-0.481805\pi\) |
−0.329277 | + | 0.944233i | \(0.606805\pi\) | |||||||
\(278\) | 7.37474 | − | 17.5755i | 0.442308 | − | 1.05411i | ||||
\(279\) | −0.944503 | − | 2.28023i | −0.0565459 | − | 0.136514i | ||||
\(280\) | −17.1738 | + | 39.8976i | −1.02633 | + | 2.38434i | ||||
\(281\) | 4.41675 | − | 10.6630i | 0.263482 | − | 0.636101i | −0.735668 | − | 0.677343i | \(-0.763131\pi\) |
0.999149 | + | 0.0412420i | \(0.0131315\pi\) | |||||||
\(282\) | 3.49911 | − | 3.46712i | 0.208369 | − | 0.206464i | ||||
\(283\) | 3.12791 | − | 2.09000i | 0.185935 | − | 0.124238i | −0.459119 | − | 0.888375i | \(-0.651835\pi\) |
0.645054 | + | 0.764137i | \(0.276835\pi\) | |||||||
\(284\) | −15.2169 | − | 15.4990i | −0.902957 | − | 0.919697i | ||||
\(285\) | −1.01752 | − | 5.11540i | −0.0602725 | − | 0.303010i | ||||
\(286\) | 2.87840 | + | 4.35094i | 0.170203 | + | 0.257277i | ||||
\(287\) | − | 5.09868i | − | 0.300966i | ||||||
\(288\) | −4.63011 | − | 3.24994i | −0.272832 | − | 0.191504i | ||||
\(289\) | − | 10.4730i | − | 0.616058i | ||||||
\(290\) | −24.7339 | + | 16.3629i | −1.45242 | + | 0.960861i | ||||
\(291\) | 0.0363454 | + | 0.182721i | 0.00213061 | + | 0.0107113i | ||||
\(292\) | 27.1677 | + | 0.249518i | 1.58987 | + | 0.0146019i | ||||
\(293\) | 4.31206 | − | 2.88123i | 0.251913 | − | 0.168323i | −0.423202 | − | 0.906035i | \(-0.639094\pi\) |
0.675115 | + | 0.737712i | \(0.264094\pi\) | |||||||
\(294\) | 11.1342 | + | 11.2370i | 0.649361 | + | 0.655353i | ||||
\(295\) | −8.66050 | + | 20.9083i | −0.504234 | + | 1.21733i | ||||
\(296\) | 11.2226 | + | 0.154614i | 0.652299 | + | 0.00898673i | ||||
\(297\) | −1.54392 | − | 3.72735i | −0.0895873 | − | 0.216283i | ||||
\(298\) | 13.8439 | + | 5.80896i | 0.801957 | + | 0.336504i | ||||
\(299\) | −6.32415 | − | 1.25795i | −0.365735 | − | 0.0727492i | ||||
\(300\) | 8.97562 | − | 13.1695i | 0.518208 | − | 0.760342i | ||||
\(301\) | −24.1760 | − | 16.1539i | −1.39348 | − | 0.931094i | ||||
\(302\) | 3.89584 | + | 20.0669i | 0.224181 | + | 1.15472i | ||||
\(303\) | 7.30526 | − | 7.30526i | 0.419676 | − | 0.419676i | ||||
\(304\) | 1.02565 | + | 5.70168i | 0.0588248 | + | 0.327014i | ||||
\(305\) | 22.4461 | + | 22.4461i | 1.28526 | + | 1.28526i | ||||
\(306\) | 4.14645 | − | 6.14434i | 0.237037 | − | 0.351248i | ||||
\(307\) | 3.61857 | − | 5.41558i | 0.206523 | − | 0.309083i | −0.713720 | − | 0.700431i | \(-0.752991\pi\) |
0.920243 | + | 0.391348i | \(0.127991\pi\) | |||||||
\(308\) | 28.7849 | − | 18.8534i | 1.64017 | − | 1.07427i | ||||
\(309\) | −0.892127 | + | 4.48503i | −0.0507513 | + | 0.255144i | ||||
\(310\) | −11.6349 | + | 4.75685i | −0.660817 | + | 0.270171i | ||||
\(311\) | 10.8463 | − | 4.49269i | 0.615038 | − | 0.254757i | −0.0533428 | − | 0.998576i | \(-0.516988\pi\) |
0.668381 | + | 0.743819i | \(0.266988\pi\) | |||||||
\(312\) | −2.16991 | + | 1.40704i | −0.122847 | + | 0.0796578i | ||||
\(313\) | 24.1427 | + | 10.0002i | 1.36463 | + | 0.565246i | 0.940326 | − | 0.340276i | \(-0.110520\pi\) |
0.424300 | + | 0.905522i | \(0.360520\pi\) | |||||||
\(314\) | −0.0517598 | + | 11.2715i | −0.00292097 | + | 0.636089i | ||||
\(315\) | −8.53201 | − | 12.7691i | −0.480725 | − | 0.719455i | ||||
\(316\) | −3.96018 | − | 9.81472i | −0.222778 | − | 0.552121i | ||||
\(317\) | 10.2616 | − | 2.04116i | 0.576350 | − | 0.114643i | 0.101696 | − | 0.994816i | \(-0.467573\pi\) |
0.474654 | + | 0.880172i | \(0.342573\pi\) | |||||||
\(318\) | 2.45226 | − | 12.0391i | 0.137516 | − | 0.675122i | ||||
\(319\) | 23.4932 | 1.31537 | ||||||||
\(320\) | −16.6596 | + | 23.5043i | −0.931300 | + | 1.31393i | ||||
\(321\) | −16.9799 | −0.947724 | ||||||||
\(322\) | −8.48868 | + | 41.6744i | −0.473056 | + | 2.32242i | ||||
\(323\) | −7.44535 | + | 1.48097i | −0.414271 | + | 0.0824035i | ||||
\(324\) | 1.85471 | − | 0.748365i | 0.103039 | − | 0.0415758i | ||||
\(325\) | −4.04795 | − | 6.05819i | −0.224540 | − | 0.336048i | ||||
\(326\) | 0.0482868 | − | 10.5152i | 0.00267436 | − | 0.582384i | ||||
\(327\) | −9.16100 | − | 3.79461i | −0.506604 | − | 0.209842i | ||||
\(328\) | 0.705369 | − | 3.30734i | 0.0389475 | − | 0.182617i | ||||
\(329\) | −13.7231 | + | 5.68430i | −0.756580 | + | 0.313386i | ||||
\(330\) | −19.0188 | + | 7.77572i | −1.04695 | + | 0.428040i | ||||
\(331\) | −3.24628 | + | 16.3201i | −0.178432 | + | 0.897036i | 0.783006 | + | 0.622014i | \(0.213685\pi\) |
−0.961438 | + | 0.275022i | \(0.911315\pi\) | |||||||
\(332\) | 5.42236 | + | 8.27872i | 0.297590 | + | 0.454354i | ||||
\(333\) | −2.20459 | + | 3.29940i | −0.120811 | + | 0.180806i | ||||
\(334\) | 15.0705 | − | 22.3319i | 0.824621 | − | 1.22195i | ||||
\(335\) | 0.847093 | + | 0.847093i | 0.0462816 | + | 0.0462816i | ||||
\(336\) | 9.21475 | + | 14.3548i | 0.502706 | + | 0.783118i | ||||
\(337\) | −14.4576 | + | 14.4576i | −0.787553 | + | 0.787553i | −0.981093 | − | 0.193539i | \(-0.938003\pi\) |
0.193539 | + | 0.981093i | \(0.438003\pi\) | |||||||
\(338\) | −3.27852 | − | 16.8871i | −0.178328 | − | 0.918539i | ||||
\(339\) | −0.0162171 | − | 0.0108359i | −0.000880793 | − | 0.000588527i | ||||
\(340\) | −31.1950 | − | 21.2608i | −1.69179 | − | 1.15303i | ||||
\(341\) | 9.76613 | + | 1.94260i | 0.528866 | + | 0.105198i | ||||
\(342\) | −1.88868 | − | 0.792495i | −0.102128 | − | 0.0428532i | ||||
\(343\) | −6.83084 | − | 16.4911i | −0.368831 | − | 0.890436i | ||||
\(344\) | −13.4473 | − | 13.8230i | −0.725032 | − | 0.745289i | ||||
\(345\) | 9.71861 | − | 23.4628i | 0.523232 | − | 1.26319i | ||||
\(346\) | −18.0999 | − | 18.2669i | −0.973057 | − | 0.982035i | ||||
\(347\) | 0.431532 | − | 0.288340i | 0.0231658 | − | 0.0154789i | −0.543933 | − | 0.839128i | \(-0.683066\pi\) |
0.567099 | + | 0.823649i | \(0.308066\pi\) | |||||||
\(348\) | −0.106959 | + | 11.6458i | −0.00573361 | + | 0.624280i | ||||
\(349\) | 5.20867 | + | 26.1857i | 0.278814 | + | 1.40169i | 0.825523 | + | 0.564368i | \(0.190880\pi\) |
−0.546710 | + | 0.837322i | \(0.684120\pi\) | |||||||
\(350\) | −40.0809 | + | 26.5158i | −2.14241 | + | 1.41733i | ||||
\(351\) | − | 0.914347i | − | 0.0488042i | ||||||
\(352\) | 21.2800 | − | 8.24735i | 1.13423 | − | 0.439585i | ||||
\(353\) | 2.11097i | 0.112356i | 0.998421 | + | 0.0561779i | \(0.0178914\pi\) | ||||
−0.998421 | + | 0.0561779i | \(0.982109\pi\) | |||||||
\(354\) | 4.90355 | + | 7.41213i | 0.260621 | + | 0.393950i | ||||
\(355\) | −7.62992 | − | 38.3582i | −0.404954 | − | 2.03584i | ||||
\(356\) | −8.53914 | + | 8.38371i | −0.452573 | + | 0.444336i | ||||
\(357\) | −18.5851 | + | 12.4182i | −0.983627 | + | 0.657238i | ||||
\(358\) | −13.6013 | + | 13.4770i | −0.718852 | + | 0.712280i | ||||
\(359\) | 10.4260 | − | 25.1705i | 0.550261 | − | 1.32845i | −0.367022 | − | 0.930212i | \(-0.619623\pi\) |
0.917283 | − | 0.398235i | \(-0.130377\pi\) | |||||||
\(360\) | −3.76791 | − | 9.46320i | −0.198586 | − | 0.498754i | ||||
\(361\) | −6.46828 | − | 15.6158i | −0.340436 | − | 0.821885i | ||||
\(362\) | 10.5358 | − | 25.1089i | 0.553748 | − | 1.31969i | ||||
\(363\) | 5.17544 | + | 1.02946i | 0.271640 | + | 0.0540325i | ||||
\(364\) | 7.66222 | − | 1.45109i | 0.401609 | − | 0.0760576i | ||||
\(365\) | 40.6758 | + | 27.1787i | 2.12907 | + | 1.42260i | ||||
\(366\) | 12.2374 | − | 2.37580i | 0.639659 | − | 0.124185i | ||||
\(367\) | 12.9194 | − | 12.9194i | 0.674388 | − | 0.674388i | −0.284337 | − | 0.958725i | \(-0.591773\pi\) |
0.958725 | + | 0.284337i | \(0.0917733\pi\) | |||||||
\(368\) | −11.2717 | + | 25.8584i | −0.587578 | + | 1.34796i | ||||
\(369\) | 0.845430 | + | 0.845430i | 0.0440114 | + | 0.0440114i | ||||
\(370\) | 16.7517 | + | 11.3047i | 0.870879 | + | 0.587705i | ||||
\(371\) | −20.5832 | + | 30.8049i | −1.06863 | + | 1.59931i | ||||
\(372\) | −1.00743 | + | 4.83232i | −0.0522328 | + | 0.250544i | ||||
\(373\) | 0.155651 | − | 0.782508i | 0.00805928 | − | 0.0405167i | −0.976546 | − | 0.215307i | \(-0.930925\pi\) |
0.984606 | + | 0.174790i | \(0.0559248\pi\) | |||||||
\(374\) | 11.3174 | + | 27.6815i | 0.585208 | + | 1.43137i | ||||
\(375\) | 9.87695 | − | 4.09117i | 0.510044 | − | 0.211267i | ||||
\(376\) | −9.68810 | + | 1.78871i | −0.499626 | + | 0.0922456i | ||||
\(377\) | 4.91908 | + | 2.03755i | 0.253346 | + | 0.104939i | ||||
\(378\) | −6.03081 | − | 0.0276940i | −0.310191 | − | 0.00142442i | ||||
\(379\) | 12.0719 | + | 18.0669i | 0.620091 | + | 0.928032i | 0.999995 | + | 0.00300629i | \(0.000956933\pi\) |
−0.379904 | + | 0.925026i | \(0.624043\pi\) | |||||||
\(380\) | −4.08020 | + | 9.60014i | −0.209310 | + | 0.492477i | ||||
\(381\) | −2.61143 | + | 0.519446i | −0.133788 | + | 0.0266120i | ||||
\(382\) | 3.66890 | + | 0.747321i | 0.187717 | + | 0.0382363i | ||||
\(383\) | 5.38281 | 0.275049 | 0.137524 | − | 0.990498i | \(-0.456085\pi\) | ||||
0.137524 | + | 0.990498i | \(0.456085\pi\) | |||||||
\(384\) | 3.99140 | + | 10.5863i | 0.203685 | + | 0.540227i | ||||
\(385\) | 61.9580 | 3.15767 | ||||||||
\(386\) | 27.7442 | + | 5.65123i | 1.41214 | + | 0.287640i | ||||
\(387\) | 6.68723 | − | 1.33017i | 0.339931 | − | 0.0676165i | ||||
\(388\) | 0.145744 | − | 0.342915i | 0.00739902 | − | 0.0174088i | ||||
\(389\) | 13.8846 | + | 20.7797i | 0.703975 | + | 1.05357i | 0.995290 | + | 0.0969461i | \(0.0309074\pi\) |
−0.291314 | + | 0.956627i | \(0.594093\pi\) | |||||||
\(390\) | −4.65660 | − | 0.0213835i | −0.235796 | − | 0.00108280i | ||||
\(391\) | −34.1496 | − | 14.1452i | −1.72702 | − | 0.715354i | ||||
\(392\) | −5.74421 | − | 31.1121i | −0.290127 | − | 1.57140i | ||||
\(393\) | −1.94617 | + | 0.806129i | −0.0981711 | + | 0.0406638i | ||||
\(394\) | 6.82651 | + | 16.6971i | 0.343915 | + | 0.841188i | ||||
\(395\) | 3.71779 | − | 18.6906i | 0.187062 | − | 0.940426i | ||||
\(396\) | −1.64678 | + | 7.89908i | −0.0827538 | + | 0.396944i | ||||
\(397\) | −0.832645 | + | 1.24614i | −0.0417893 | + | 0.0625420i | −0.851776 | − | 0.523906i | \(-0.824474\pi\) |
0.809987 | + | 0.586448i | \(0.199474\pi\) | |||||||
\(398\) | −20.5598 | − | 13.8746i | −1.03057 | − | 0.695469i | ||||
\(399\) | 4.36725 | + | 4.36725i | 0.218636 | + | 0.218636i | ||||
\(400\) | −29.6674 | + | 11.6550i | −1.48337 | + | 0.582748i | ||||
\(401\) | 3.25173 | − | 3.25173i | 0.162384 | − | 0.162384i | −0.621238 | − | 0.783622i | \(-0.713370\pi\) |
0.783622 | + | 0.621238i | \(0.213370\pi\) | |||||||
\(402\) | 0.461827 | − | 0.0896605i | 0.0230339 | − | 0.00447186i | ||||
\(403\) | 1.87638 | + | 1.25376i | 0.0934693 | + | 0.0624542i | ||||
\(404\) | −20.3015 | + | 3.84475i | −1.01004 | + | 0.191283i | ||||
\(405\) | 3.53201 | + | 0.702560i | 0.175507 | + | 0.0349105i | ||||
\(406\) | 13.5882 | − | 32.3833i | 0.674370 | − | 1.60716i | ||||
\(407\) | −6.12651 | − | 14.7907i | −0.303680 | − | 0.733148i | ||||
\(408\) | −13.7735 | + | 5.48411i | −0.681888 | + | 0.271504i | ||||
\(409\) | 0.640222 | − | 1.54563i | 0.0316569 | − | 0.0764266i | −0.907260 | − | 0.420569i | \(-0.861830\pi\) |
0.938917 | + | 0.344143i | \(0.111830\pi\) | |||||||
\(410\) | 4.32539 | − | 4.28585i | 0.213616 | − | 0.211663i | ||||
\(411\) | 11.7863 | − | 7.87534i | 0.581374 | − | 0.388462i | ||||
\(412\) | 6.52617 | − | 6.40738i | 0.321521 | − | 0.315669i | ||||
\(413\) | −5.22826 | − | 26.2842i | −0.257266 | − | 1.29336i | ||||
\(414\) | −5.50264 | − | 8.31772i | −0.270440 | − | 0.408794i | ||||
\(415\) | 17.8195i | 0.874726i | ||||||||
\(416\) | 5.17097 | + | 0.118747i | 0.253527 | + | 0.00582207i | ||||
\(417\) | − | 13.4775i | − | 0.659995i | ||||||
\(418\) | 6.89177 | − | 4.55929i | 0.337087 | − | 0.223002i | ||||
\(419\) | −5.97809 | − | 30.0539i | −0.292049 | − | 1.46823i | −0.796421 | − | 0.604742i | \(-0.793276\pi\) |
0.504372 | − | 0.863486i | \(-0.331724\pi\) | |||||||
\(420\) | −0.282080 | + | 30.7131i | −0.0137641 | + | 1.49865i | ||||
\(421\) | 22.9020 | − | 15.3026i | 1.11617 | − | 0.745804i | 0.146259 | − | 0.989246i | \(-0.453277\pi\) |
0.969915 | + | 0.243442i | \(0.0782766\pi\) | |||||||
\(422\) | 5.76152 | + | 5.81468i | 0.280466 | + | 0.283054i | ||||
\(423\) | 1.33294 | − | 3.21801i | 0.0648100 | − | 0.156465i | ||||
\(424\) | −17.6132 | + | 17.1345i | −0.855375 | + | 0.832126i | ||||
\(425\) | −15.9837 | − | 38.5881i | −0.775324 | − | 1.87180i | ||||
\(426\) | −14.1624 | − | 5.94258i | −0.686169 | − | 0.287919i | ||||
\(427\) | −36.8678 | − | 7.33346i | −1.78416 | − | 0.354891i | ||||
\(428\) | 28.0620 | + | 19.1255i | 1.35643 | + | 0.924468i | ||||
\(429\) | 3.06720 | + | 2.04944i | 0.148086 | + | 0.0989479i | ||||
\(430\) | −6.61794 | − | 34.0880i | −0.319145 | − | 1.64387i | ||||
\(431\) | −18.3036 | + | 18.3036i | −0.881653 | + | 0.881653i | −0.993703 | − | 0.112049i | \(-0.964259\pi\) |
0.112049 | + | 0.993703i | \(0.464259\pi\) | |||||||
\(432\) | −3.90815 | − | 0.852287i | −0.188031 | − | 0.0410057i | ||||
\(433\) | −18.8526 | − | 18.8526i | −0.905997 | − | 0.905997i | 0.0899493 | − | 0.995946i | \(-0.471329\pi\) |
−0.995946 | + | 0.0899493i | \(0.971329\pi\) | |||||||
\(434\) | 8.32631 | − | 12.3382i | 0.399676 | − | 0.592252i | ||||
\(435\) | −11.6505 | + | 17.4362i | −0.558598 | + | 0.836001i | ||||
\(436\) | 10.8659 | + | 16.5898i | 0.520384 | + | 0.794510i | ||||
\(437\) | −1.99256 | + | 10.0173i | −0.0953170 | + | 0.479191i | ||||
\(438\) | 17.7825 | − | 7.27027i | 0.849681 | − | 0.347387i | ||||
\(439\) | 25.2770 | − | 10.4701i | 1.20641 | − | 0.499710i | 0.313343 | − | 0.949640i | \(-0.398551\pi\) |
0.893064 | + | 0.449930i | \(0.148551\pi\) | |||||||
\(440\) | 40.1900 | + | 8.57148i | 1.91598 | + | 0.408629i | ||||
\(441\) | 10.3342 | + | 4.28059i | 0.492107 | + | 0.203837i | ||||
\(442\) | −0.0311232 | + | 6.77758i | −0.00148038 | + | 0.322377i | ||||
\(443\) | −8.71304 | − | 13.0400i | −0.413969 | − | 0.619549i | 0.564625 | − | 0.825347i | \(-0.309021\pi\) |
−0.978594 | + | 0.205799i | \(0.934021\pi\) | |||||||
\(444\) | 7.35978 | − | 2.96963i | 0.349280 | − | 0.140932i | ||||
\(445\) | −21.1333 | + | 4.20368i | −1.00182 | + | 0.199274i | ||||
\(446\) | 3.12209 | − | 15.3276i | 0.147835 | − | 0.725784i | ||||
\(447\) | 10.6160 | 0.502119 | ||||||||
\(448\) | 0.939848 | − | 34.1028i | 0.0444037 | − | 1.61121i | ||||
\(449\) | −28.0321 | −1.32292 | −0.661459 | − | 0.749981i | \(-0.730062\pi\) | ||||
−0.661459 | + | 0.749981i | \(0.730062\pi\) | |||||||
\(450\) | 2.24928 | − | 11.0426i | 0.106032 | − | 0.520555i | ||||
\(451\) | −4.73099 | + | 0.941052i | −0.222773 | + | 0.0443124i | ||||
\(452\) | 0.0145962 | + | 0.0361746i | 0.000686549 | + | 0.00170151i | ||||
\(453\) | 8.03042 | + | 12.0184i | 0.377302 | + | 0.564672i | ||||
\(454\) | 0.0481935 | − | 10.4949i | 0.00226183 | − | 0.492551i | ||||
\(455\) | 12.9730 | + | 5.37358i | 0.608182 | + | 0.251917i | ||||
\(456\) | 2.22871 | + | 3.43707i | 0.104369 | + | 0.160955i | ||||
\(457\) | 15.0947 | − | 6.25242i | 0.706099 | − | 0.292476i | −0.000590259 | − | 1.00000i | \(-0.500188\pi\) |
0.706689 | + | 0.707524i | \(0.250188\pi\) | |||||||
\(458\) | −37.2349 | + | 15.2233i | −1.73987 | + | 0.711336i | ||||
\(459\) | 1.02256 | − | 5.14076i | 0.0477290 | − | 0.239950i | ||||
\(460\) | −42.4893 | + | 27.8294i | −1.98107 | + | 1.29755i | ||||
\(461\) | 13.0217 | − | 19.4883i | 0.606480 | − | 0.907661i | −0.393452 | − | 0.919345i | \(-0.628719\pi\) |
0.999932 | + | 0.0116839i | \(0.00371920\pi\) | |||||||
\(462\) | 13.6105 | − | 20.1684i | 0.633218 | − | 0.938321i | ||||
\(463\) | −2.32339 | − | 2.32339i | −0.107977 | − | 0.107977i | 0.651054 | − | 0.759031i | \(-0.274327\pi\) |
−0.759031 | + | 0.651054i | \(0.774327\pi\) | |||||||
\(464\) | 13.2942 | − | 19.1261i | 0.617168 | − | 0.887908i | ||||
\(465\) | −6.28487 | + | 6.28487i | −0.291454 | + | 0.291454i | ||||
\(466\) | 0.319852 | + | 1.64751i | 0.0148169 | + | 0.0763193i | ||||
\(467\) | −13.6604 | − | 9.12758i | −0.632128 | − | 0.422374i | 0.197802 | − | 0.980242i | \(-0.436620\pi\) |
−0.829930 | + | 0.557868i | \(0.811620\pi\) | |||||||
\(468\) | −1.02989 | + | 1.51111i | −0.0476067 | + | 0.0698510i | ||||
\(469\) | −1.39135 | − | 0.276758i | −0.0642468 | − | 0.0127795i | ||||
\(470\) | −16.3576 | − | 6.86370i | −0.754519 | − | 0.316599i | ||||
\(471\) | 3.05009 | + | 7.36356i | 0.140541 | + | 0.339295i | ||||
\(472\) | 0.244858 | − | 17.7730i | 0.0112705 | − | 0.818067i | ||||
\(473\) | −10.5268 | + | 25.4140i | −0.484024 | + | 1.16854i | ||||
\(474\) | −5.26743 | − | 5.31603i | −0.241941 | − | 0.244173i | ||||
\(475\) | −9.59599 | + | 6.41184i | −0.440294 | + | 0.294195i | ||||
\(476\) | 44.7023 | + | 0.410562i | 2.04893 | + | 0.0188181i | ||||
\(477\) | −1.69490 | − | 8.52084i | −0.0776041 | − | 0.390142i | ||||
\(478\) | 20.9132 | − | 13.8353i | 0.956546 | − | 0.632810i | ||||
\(479\) | − | 10.9910i | − | 0.502189i | −0.967963 | − | 0.251095i | \(-0.919209\pi\) | ||
0.967963 | − | 0.251095i | \(-0.0807906\pi\) | |||||||
\(480\) | −4.43194 | + | 19.8835i | −0.202289 | + | 0.907555i | ||||
\(481\) | − | 3.62827i | − | 0.165435i | ||||||
\(482\) | 18.4526 | + | 27.8926i | 0.840491 | + | 1.27047i | ||||
\(483\) | 5.86702 | + | 29.4955i | 0.266959 | + | 1.34209i | ||||
\(484\) | −7.39371 | − | 7.53078i | −0.336078 | − | 0.342308i | ||||
\(485\) | 0.557838 | − | 0.372735i | 0.0253301 | − | 0.0169250i | ||||
\(486\) | 1.00458 | − | 0.995397i | 0.0455687 | − | 0.0451521i | ||||
\(487\) | 9.45014 | − | 22.8147i | 0.428227 | − | 1.03383i | −0.551623 | − | 0.834094i | \(-0.685991\pi\) |
0.979849 | − | 0.199737i | \(-0.0640089\pi\) | |||||||
\(488\) | −22.9003 | − | 9.85738i | −1.03665 | − | 0.446223i | ||||
\(489\) | −2.84543 | − | 6.86947i | −0.128675 | − | 0.310648i | ||||
\(490\) | 22.0419 | − | 52.5303i | 0.995752 | − | 2.37308i | ||||
\(491\) | −8.69167 | − | 1.72888i | −0.392249 | − | 0.0780233i | −0.00497467 | − | 0.999988i | \(-0.501583\pi\) |
−0.387275 | + | 0.921964i | \(0.626583\pi\) | |||||||
\(492\) | −0.444949 | − | 2.34948i | −0.0200598 | − | 0.105923i | ||||
\(493\) | 25.3780 | + | 16.9570i | 1.14297 | + | 0.763706i | ||||
\(494\) | 1.83844 | − | 0.356921i | 0.0827155 | − | 0.0160586i | ||||
\(495\) | −10.2735 | + | 10.2735i | −0.461758 | + | 0.461758i | ||||
\(496\) | 7.10790 | − | 6.85146i | 0.319154 | − | 0.307640i | ||||
\(497\) | 32.7482 | + | 32.7482i | 1.46896 | + | 1.46896i | ||||
\(498\) | 5.80057 | + | 3.91446i | 0.259930 | + | 0.175411i | ||||
\(499\) | −14.4306 | + | 21.5969i | −0.646002 | + | 0.966810i | 0.353506 | + | 0.935432i | \(0.384989\pi\) |
−0.999508 | + | 0.0313774i | \(0.990011\pi\) | |||||||
\(500\) | −20.9314 | − | 4.36374i | −0.936082 | − | 0.195152i | ||||
\(501\) | 3.71655 | − | 18.6843i | 0.166043 | − | 0.834755i | ||||
\(502\) | 4.10437 | + | 10.0390i | 0.183187 | + | 0.448061i | ||||
\(503\) | 32.1398 | − | 13.3127i | 1.43304 | − | 0.593585i | 0.474942 | − | 0.880017i | \(-0.342469\pi\) |
0.958101 | + | 0.286432i | \(0.0924692\pi\) | |||||||
\(504\) | 9.93571 | + | 6.83867i | 0.442572 | + | 0.304618i | ||||
\(505\) | −34.3727 | − | 14.2376i | −1.52956 | − | 0.633566i | ||||
\(506\) | 40.2358 | + | 0.184766i | 1.78870 | + | 0.00821384i | ||||
\(507\) | −6.75794 | − | 10.1140i | −0.300131 | − | 0.449177i | ||||
\(508\) | 4.90091 | + | 2.08296i | 0.217443 | + | 0.0924164i | ||||
\(509\) | 2.06009 | − | 0.409778i | 0.0913120 | − | 0.0181631i | −0.149223 | − | 0.988804i | \(-0.547677\pi\) |
0.240535 | + | 0.970641i | \(0.422677\pi\) | |||||||
\(510\) | −26.1570 | − | 5.32793i | −1.15825 | − | 0.235925i | ||||
\(511\) | −57.9305 | −2.56269 | ||||||||
\(512\) | 5.32755 | − | 21.9913i | 0.235447 | − | 0.971887i | ||||
\(513\) | −1.44830 | −0.0639440 | ||||||||
\(514\) | −26.8979 | − | 5.47885i | −1.18642 | − | 0.241662i | ||||
\(515\) | 16.1515 | − | 3.21273i | 0.711719 | − | 0.141570i | ||||
\(516\) | −12.5500 | − | 5.33394i | −0.552484 | − | 0.234814i | ||||
\(517\) | 7.80722 | + | 11.6843i | 0.343361 | + | 0.513876i | ||||
\(518\) | −23.9312 | − | 0.109894i | −1.05148 | − | 0.00482846i | ||||
\(519\) | −16.7995 | − | 6.95856i | −0.737414 | − | 0.305447i | ||||
\(520\) | 7.67171 | + | 5.28038i | 0.336427 | + | 0.231560i | ||||
\(521\) | 37.9511 | − | 15.7199i | 1.66267 | − | 0.688700i | 0.664393 | − | 0.747383i | \(-0.268690\pi\) |
0.998277 | + | 0.0586829i | \(0.0186901\pi\) | |||||||
\(522\) | 3.11649 | + | 7.62270i | 0.136405 | + | 0.333636i | ||||
\(523\) | 0.702666 | − | 3.53254i | 0.0307254 | − | 0.154467i | −0.962377 | − | 0.271718i | \(-0.912408\pi\) |
0.993102 | + | 0.117251i | \(0.0374082\pi\) | |||||||
\(524\) | 4.12436 | + | 0.859836i | 0.180173 | + | 0.0375621i | ||||
\(525\) | −18.8794 | + | 28.2551i | −0.823967 | + | 1.23315i | ||||
\(526\) | 8.47021 | + | 5.71605i | 0.369319 | + | 0.249231i | ||||
\(527\) | 9.14749 | + | 9.14749i | 0.398471 | + | 0.398471i | ||||
\(528\) | 11.6188 | − | 11.1996i | 0.505645 | − | 0.487402i | ||||
\(529\) | −18.9022 | + | 18.9022i | −0.821835 | + | 0.821835i | ||||
\(530\) | −43.4347 | + | 8.43254i | −1.88668 | + | 0.366286i | ||||
\(531\) | 5.22519 | + | 3.49136i | 0.226754 | + | 0.151512i | ||||
\(532\) | −2.29848 | − | 12.1367i | −0.0996517 | − | 0.526194i | ||||
\(533\) | −1.07221 | − | 0.213275i | −0.0464424 | − | 0.00923796i | ||||
\(534\) | −3.27405 | + | 7.80272i | −0.141682 | + | 0.337657i | ||||
\(535\) | 23.4003 | + | 56.4933i | 1.01168 | + | 2.44242i | ||||
\(536\) | −0.864236 | − | 0.372008i | −0.0373293 | − | 0.0160683i | ||||
\(537\) | −5.18126 | + | 12.5087i | −0.223588 | + | 0.539789i | ||||
\(538\) | 5.27508 | − | 5.22685i | 0.227425 | − | 0.225346i | ||||
\(539\) | −37.5228 | + | 25.0719i | −1.61622 | + | 1.07992i | ||||
\(540\) | −5.04588 | − | 5.13943i | −0.217140 | − | 0.221166i | ||||
\(541\) | 5.44456 | + | 27.3716i | 0.234080 | + | 1.17680i | 0.901722 | + | 0.432316i | \(0.142304\pi\) |
−0.667642 | + | 0.744482i | \(0.732696\pi\) | |||||||
\(542\) | 17.2517 | + | 26.0774i | 0.741024 | + | 1.12012i | ||||
\(543\) | − | 19.2543i | − | 0.826282i | ||||||
\(544\) | 28.9400 | + | 6.45058i | 1.24079 | + | 0.276566i | ||||
\(545\) | 35.7088i | 1.52960i | ||||||||
\(546\) | 4.59900 | − | 3.04250i | 0.196819 | − | 0.130207i | ||||
\(547\) | 6.57952 | + | 33.0775i | 0.281320 | + | 1.41429i | 0.820281 | + | 0.571961i | \(0.193817\pi\) |
−0.538961 | + | 0.842331i | \(0.681183\pi\) | |||||||
\(548\) | −28.3493 | − | 0.260370i | −1.21102 | − | 0.0111224i | ||||
\(549\) | 7.32917 | − | 4.89719i | 0.312801 | − | 0.209007i | ||||
\(550\) | 32.0012 | + | 32.2965i | 1.36454 | + | 1.37713i | ||||
\(551\) | 3.22742 | − | 7.79168i | 0.137493 | − | 0.331937i | ||||
\(552\) | −0.274774 | + | 19.9444i | −0.0116952 | + | 0.848889i | ||||
\(553\) | 8.63588 | + | 20.8489i | 0.367235 | + | 0.886584i | ||||
\(554\) | 6.02237 | + | 2.52701i | 0.255866 | + | 0.107362i | ||||
\(555\) | 14.0156 | + | 2.78787i | 0.594927 | + | 0.118338i | ||||
\(556\) | −15.1806 | + | 22.2737i | −0.643800 | + | 0.944617i | ||||
\(557\) | −32.4174 | − | 21.6606i | −1.37357 | − | 0.917791i | −0.373619 | − | 0.927582i | \(-0.621883\pi\) |
−0.999952 | + | 0.00979179i | \(0.996883\pi\) | |||||||
\(558\) | 0.665222 | + | 3.42645i | 0.0281611 | + | 0.145053i | ||||
\(559\) | −4.40828 | + | 4.40828i | −0.186450 | + | 0.186450i | ||||
\(560\) | 35.0604 | − | 50.4408i | 1.48157 | − | 2.13151i | ||||
\(561\) | 14.9528 | + | 14.9528i | 0.631308 | + | 0.631308i | ||||
\(562\) | −9.13035 | + | 13.5296i | −0.385141 | + | 0.570713i | ||||
\(563\) | 9.23380 | − | 13.8194i | 0.389158 | − | 0.582416i | −0.584227 | − | 0.811590i | \(-0.698602\pi\) |
0.973386 | + | 0.229174i | \(0.0736024\pi\) | |||||||
\(564\) | −5.82757 | + | 3.81691i | −0.245385 | + | 0.160721i | ||||
\(565\) | −0.0137028 | + | 0.0688888i | −0.000576483 | + | 0.00289817i | ||||
\(566\) | −4.92446 | + | 2.01333i | −0.206990 | + | 0.0846267i | ||||
\(567\) | −3.93986 | + | 1.63194i | −0.165458 | + | 0.0685351i | ||||
\(568\) | 16.7121 | + | 25.7731i | 0.701225 | + | 1.08142i | ||||
\(569\) | −41.8582 | − | 17.3382i | −1.75479 | − | 0.726857i | −0.997254 | − | 0.0740609i | \(-0.976404\pi\) |
−0.757534 | − | 0.652796i | \(-0.773596\pi\) | |||||||
\(570\) | −0.0338708 | + | 7.37592i | −0.00141869 | + | 0.308943i | ||||
\(571\) | 6.11301 | + | 9.14877i | 0.255822 | + | 0.382864i | 0.937043 | − | 0.349213i | \(-0.113551\pi\) |
−0.681222 | + | 0.732077i | \(0.738551\pi\) | |||||||
\(572\) | −2.76064 | − | 6.84183i | −0.115428 | − | 0.286071i | ||||
\(573\) | 2.59671 | − | 0.516517i | 0.108479 | − | 0.0215778i | ||||
\(574\) | −1.43918 | + | 7.06554i | −0.0600704 | + | 0.294910i | ||||
\(575\) | −56.1956 | −2.34352 | ||||||||
\(576\) | 5.49887 | + | 5.81055i | 0.229119 | + | 0.242106i | ||||
\(577\) | −15.5979 | −0.649351 | −0.324675 | − | 0.945826i | \(-0.605255\pi\) | ||||
−0.324675 | + | 0.945826i | \(0.605255\pi\) | |||||||
\(578\) | −2.95617 | + | 14.5130i | −0.122960 | + | 0.603663i | ||||
\(579\) | 19.6363 | − | 3.90589i | 0.816055 | − | 0.162323i | ||||
\(580\) | 38.8939 | − | 15.6935i | 1.61498 | − | 0.651635i | ||||
\(581\) | −11.7234 | − | 17.5453i | −0.486367 | − | 0.727900i | ||||
\(582\) | 0.00120986 | − | 0.263466i | 5.01502e−5 | − | 0.0109210i | ||||
\(583\) | 32.3824 | + | 13.4132i | 1.34114 | + | 0.555518i | ||||
\(584\) | −37.5775 | − | 8.01430i | −1.55497 | − | 0.331634i | ||||
\(585\) | −3.04210 | + | 1.26008i | −0.125776 | + | 0.0520979i | ||||
\(586\) | −6.78874 | + | 2.77554i | −0.280440 | + | 0.114656i | ||||
\(587\) | 2.33564 | − | 11.7421i | 0.0964022 | − | 0.484647i | −0.902177 | − | 0.431365i | \(-0.858032\pi\) |
0.998580 | − | 0.0532814i | \(-0.0169680\pi\) | |||||||
\(588\) | −12.2575 | − | 18.7145i | −0.505492 | − | 0.771774i | ||||
\(589\) | 1.98592 | − | 2.97214i | 0.0818283 | − | 0.122465i | ||||
\(590\) | 17.9031 | − | 26.5293i | 0.737057 | − | 1.09219i | ||||
\(591\) | 9.01935 | + | 9.01935i | 0.371007 | + | 0.371007i | ||||
\(592\) | −15.5081 | − | 3.38201i | −0.637380 | − | 0.139000i | ||||
\(593\) | 1.27547 | − | 1.27547i | 0.0523774 | − | 0.0523774i | −0.680433 | − | 0.732810i | \(-0.738208\pi\) |
0.732810 | + | 0.680433i | \(0.238208\pi\) | |||||||
\(594\) | 1.08740 | + | 5.60100i | 0.0446164 | + | 0.229812i | ||||
\(595\) | 66.9286 | + | 44.7203i | 2.74381 | + | 1.83335i | ||||
\(596\) | −17.5447 | − | 11.9575i | −0.718657 | − | 0.489798i | ||||
\(597\) | −17.2016 | − | 3.42162i | −0.704016 | − | 0.140037i | ||||
\(598\) | 8.40866 | + | 3.52831i | 0.343856 | + | 0.144283i | ||||
\(599\) | −5.48447 | − | 13.2407i | −0.224089 | − | 0.540999i | 0.771348 | − | 0.636413i | \(-0.219583\pi\) |
−0.995438 | + | 0.0954137i | \(0.969583\pi\) | |||||||
\(600\) | −16.1553 | + | 15.7163i | −0.659539 | + | 0.641613i | ||||
\(601\) | −11.4101 | + | 27.5465i | −0.465429 | + | 1.12365i | 0.500708 | + | 0.865616i | \(0.333073\pi\) |
−0.966137 | + | 0.258029i | \(0.916927\pi\) | |||||||
\(602\) | 28.9424 | + | 29.2094i | 1.17960 | + | 1.19049i | ||||
\(603\) | 0.276595 | − | 0.184815i | 0.0112638 | − | 0.00752626i | ||||
\(604\) | 0.265497 | − | 28.9075i | 0.0108029 | − | 1.17623i | ||||
\(605\) | −3.70729 | − | 18.6378i | −0.150723 | − | 0.757734i | ||||
\(606\) | −12.1853 | + | 8.06130i | −0.494996 | + | 0.327468i | ||||
\(607\) | 36.8155i | 1.49430i | 0.664658 | + | 0.747148i | \(0.268577\pi\) | ||||
−0.664658 | + | 0.747148i | \(0.731423\pi\) | |||||||
\(608\) | 0.188093 | − | 8.19066i | 0.00762816 | − | 0.332175i | ||||
\(609\) | − | 24.8326i | − | 1.00627i | ||||||
\(610\) | −24.7691 | − | 37.4406i | −1.00287 | − | 1.51593i | ||||
\(611\) | 0.621326 | + | 3.12362i | 0.0251362 | + | 0.126368i | ||||
\(612\) | −7.48032 | + | 7.34417i | −0.302374 | + | 0.296870i | ||||
\(613\) | −35.4697 | + | 23.7001i | −1.43261 | + | 0.957239i | −0.434202 | + | 0.900815i | \(0.642970\pi\) |
−0.998407 | + | 0.0564236i | \(0.982030\pi\) | |||||||
\(614\) | −6.54310 | + | 6.48328i | −0.264058 | + | 0.261644i | ||||
\(615\) | 1.64771 | − | 3.97792i | 0.0664420 | − | 0.160405i | ||||
\(616\) | −45.2106 | + | 18.0013i | −1.82159 | + | 0.725291i | ||||
\(617\) | 6.16351 | + | 14.8800i | 0.248134 | + | 0.599048i | 0.998046 | − | 0.0624900i | \(-0.0199042\pi\) |
−0.749912 | + | 0.661538i | \(0.769904\pi\) | |||||||
\(618\) | 2.50224 | − | 5.96334i | 0.100655 | − | 0.239881i | ||||
\(619\) | −30.5691 | − | 6.08056i | −1.22867 | − | 0.244399i | −0.462260 | − | 0.886745i | \(-0.652961\pi\) |
−0.766415 | + | 0.642346i | \(0.777961\pi\) | |||||||
\(620\) | 17.4658 | − | 3.30772i | 0.701445 | − | 0.132841i | ||||
\(621\) | −5.86359 | − | 3.91792i | −0.235298 | − | 0.157221i | ||||
\(622\) | −16.2985 | + | 3.16424i | −0.653511 | + | 0.126874i | ||||
\(623\) | 18.0425 | − | 18.0425i | 0.722858 | − | 0.722858i | ||||
\(624\) | 3.40412 | − | 1.33732i | 0.136274 | − | 0.0535358i | ||||
\(625\) | 0.950204 | + | 0.950204i | 0.0380082 | + | 0.0380082i | ||||
\(626\) | −30.6332 | − | 20.6726i | −1.22435 | − | 0.826241i | ||||
\(627\) | 3.24625 | − | 4.85836i | 0.129643 | − | 0.194024i | ||||
\(628\) | 3.25329 | − | 15.6050i | 0.129821 | − | 0.622707i | ||||
\(629\) | 4.05768 | − | 20.3993i | 0.161790 | − | 0.813374i | ||||
\(630\) | 8.21904 | + | 20.1031i | 0.327454 | + | 0.800928i | ||||
\(631\) | 8.96722 | − | 3.71434i | 0.356979 | − | 0.147866i | −0.196984 | − | 0.980407i | \(-0.563115\pi\) |
0.553963 | + | 0.832541i | \(0.313115\pi\) | |||||||
\(632\) | 2.71750 | + | 14.7187i | 0.108096 | + | 0.585477i | ||||
\(633\) | 5.34756 | + | 2.21503i | 0.212547 | + | 0.0880397i | ||||
\(634\) | −14.7963 | − | 0.0679456i | −0.587635 | − | 0.00269847i | ||||
\(635\) | 5.32711 | + | 7.97258i | 0.211400 | + | 0.316382i | ||||
\(636\) | −6.79648 | + | 15.9912i | −0.269498 | + | 0.634091i | ||||
\(637\) | −10.0311 | + | 1.99531i | −0.397447 | + | 0.0790571i | ||||
\(638\) | −32.5559 | − | 6.63133i | −1.28890 | − | 0.262537i | ||||
\(639\) | −10.8602 | −0.429622 | ||||||||
\(640\) | 29.7206 | − | 27.8688i | 1.17481 | − | 1.10161i | ||||
\(641\) | 43.2577 | 1.70857 | 0.854287 | − | 0.519801i | \(-0.173994\pi\) | ||||
0.854287 | + | 0.519801i | \(0.173994\pi\) | |||||||
\(642\) | 23.5300 | + | 4.79283i | 0.928655 | + | 0.189158i | ||||
\(643\) | 2.64504 | − | 0.526131i | 0.104310 | − | 0.0207486i | −0.142659 | − | 0.989772i | \(-0.545565\pi\) |
0.246969 | + | 0.969023i | \(0.420565\pi\) | |||||||
\(644\) | 23.5265 | − | 55.3546i | 0.927075 | − | 2.18128i | ||||
\(645\) | −13.6414 | − | 20.4158i | −0.537130 | − | 0.803871i | ||||
\(646\) | 10.7355 | + | 0.0492982i | 0.422382 | + | 0.00193961i | ||||
\(647\) | 4.36955 | + | 1.80993i | 0.171785 | + | 0.0711556i | 0.466918 | − | 0.884300i | \(-0.345364\pi\) |
−0.295134 | + | 0.955456i | \(0.595364\pi\) | |||||||
\(648\) | −2.78142 | + | 0.513531i | −0.109264 | + | 0.0201734i | ||||
\(649\) | −23.4237 | + | 9.70243i | −0.919462 | + | 0.380854i | ||||
\(650\) | 3.89946 | + | 9.53778i | 0.152950 | + | 0.374103i | ||||
\(651\) | 2.05336 | − | 10.3229i | 0.0804774 | − | 0.404587i | ||||
\(652\) | −3.03500 | + | 14.5579i | −0.118860 | + | 0.570132i | ||||
\(653\) | −14.5186 | + | 21.7286i | −0.568156 | + | 0.850305i | −0.998632 | − | 0.0522968i | \(-0.983346\pi\) |
0.430476 | + | 0.902602i | \(0.358346\pi\) | |||||||
\(654\) | 11.6238 | + | 7.84425i | 0.454528 | + | 0.306734i | ||||
\(655\) | 5.36410 | + | 5.36410i | 0.209593 | + | 0.209593i | ||||
\(656\) | −1.91102 | + | 4.38407i | −0.0746128 | + | 0.171169i | ||||
\(657\) | 9.60565 | − | 9.60565i | 0.374752 | − | 0.374752i | ||||
\(658\) | 20.6214 | − | 4.00350i | 0.803907 | − | 0.156073i | ||||
\(659\) | 0.847864 | + | 0.566525i | 0.0330281 | + | 0.0220687i | 0.571975 | − | 0.820271i | \(-0.306178\pi\) |
−0.538947 | + | 0.842340i | \(0.681178\pi\) | |||||||
\(660\) | 28.5503 | − | 5.40691i | 1.11132 | − | 0.210464i | ||||
\(661\) | 6.08991 | + | 1.21136i | 0.236870 | + | 0.0471164i | 0.312098 | − | 0.950050i | \(-0.398968\pi\) |
−0.0752276 | + | 0.997166i | \(0.523968\pi\) | |||||||
\(662\) | 9.10518 | − | 21.6995i | 0.353883 | − | 0.843373i | ||||
\(663\) | 1.83402 | + | 4.42771i | 0.0712274 | + | 0.171958i | ||||
\(664\) | −5.17727 | − | 13.0029i | −0.200917 | − | 0.504609i | ||||
\(665\) | 8.51159 | − | 20.5488i | 0.330065 | − | 0.796848i | ||||
\(666\) | 3.98634 | − | 3.94989i | 0.154467 | − | 0.153055i | ||||
\(667\) | 34.1445 | − | 22.8146i | 1.32208 | − | 0.883386i | ||||
\(668\) | −27.1876 | + | 26.6928i | −1.05192 | + | 1.03277i | ||||
\(669\) | −2.15786 | − | 10.8483i | −0.0834276 | − | 0.419419i | ||||
\(670\) | −0.934761 | − | 1.41297i | −0.0361130 | − | 0.0545879i | ||||
\(671\) | 35.5626i | 1.37288i | ||||||||
\(672\) | −8.71755 | − | 22.4933i | −0.336287 | − | 0.867697i | ||||
\(673\) | − | 6.82199i | − | 0.262968i | −0.991318 | − | 0.131484i | \(-0.958026\pi\) | ||
0.991318 | − | 0.131484i | \(-0.0419743\pi\) | |||||||
\(674\) | 24.1156 | − | 15.9538i | 0.928897 | − | 0.614518i | ||||
\(675\) | −1.55461 | − | 7.81554i | −0.0598369 | − | 0.300820i | ||||
\(676\) | −0.223427 | + | 24.3269i | −0.00859335 | + | 0.935650i | ||||
\(677\) | −18.8825 | + | 12.6169i | −0.725714 | + | 0.484907i | −0.862732 | − | 0.505662i | \(-0.831248\pi\) |
0.137018 | + | 0.990569i | \(0.456248\pi\) | |||||||
\(678\) | 0.0194144 | + | 0.0195935i | 0.000745605 | + | 0.000752485i | ||||
\(679\) | −0.304032 | + | 0.733998i | −0.0116677 | + | 0.0281682i | ||||
\(680\) | 37.2275 | + | 38.2676i | 1.42761 | + | 1.46750i | ||||
\(681\) | −2.83994 | − | 6.85621i | −0.108827 | − | 0.262731i | ||||
\(682\) | −12.9852 | − | 5.44863i | −0.497228 | − | 0.208639i | ||||
\(683\) | 36.1095 | + | 7.18262i | 1.38169 | + | 0.274835i | 0.829325 | − | 0.558767i | \(-0.188725\pi\) |
0.552366 | + | 0.833602i | \(0.313725\pi\) | |||||||
\(684\) | 2.39355 | + | 1.63132i | 0.0915198 | + | 0.0623749i | ||||
\(685\) | −42.4448 | − | 28.3607i | −1.62173 | − | 1.08361i | ||||
\(686\) | 4.81102 | + | 24.7808i | 0.183685 | + | 0.946135i | ||||
\(687\) | −20.1133 | + | 20.1133i | −0.767371 | + | 0.767371i | ||||
\(688\) | 14.7330 | + | 22.9511i | 0.561690 | + | 0.875004i | ||||
\(689\) | 5.61700 | + | 5.61700i | 0.213991 | + | 0.213991i | ||||
\(690\) | −20.0904 | + | 29.7705i | −0.764828 | + | 1.13334i | ||||
\(691\) | 5.03225 | − | 7.53129i | 0.191436 | − | 0.286504i | −0.723319 | − | 0.690514i | \(-0.757384\pi\) |
0.914754 | + | 0.404011i | \(0.132384\pi\) | |||||||
\(692\) | 19.9260 | + | 30.4225i | 0.757472 | + | 1.15649i | ||||
\(693\) | 3.35649 | − | 16.8742i | 0.127503 | − | 0.640999i | ||||
\(694\) | −0.679388 | + | 0.277763i | −0.0257892 | + | 0.0105438i | ||||
\(695\) | −44.8406 | + | 18.5736i | −1.70090 | + | 0.704536i | ||||
\(696\) | 3.43543 | − | 16.1081i | 0.130220 | − | 0.610575i | ||||
\(697\) | −5.78977 | − | 2.39820i | −0.219303 | − | 0.0908383i | ||||
\(698\) | 0.173385 | − | 37.7573i | 0.00656271 | − | 1.42914i | ||||
\(699\) | 0.659303 | + | 0.986717i | 0.0249371 | + | 0.0373211i | ||||
\(700\) | 63.0270 | − | 25.4310i | 2.38220 | − | 0.961202i | ||||
\(701\) | 39.6170 | − | 7.88032i | 1.49631 | − | 0.297636i | 0.622009 | − | 0.783010i | \(-0.286317\pi\) |
0.874306 | + | 0.485375i | \(0.161317\pi\) | |||||||
\(702\) | −0.258089 | + | 1.26706i | −0.00974094 | + | 0.0478223i | ||||
\(703\) | −5.74708 | −0.216755 | ||||||||
\(704\) | −31.8169 | + | 5.42221i | −1.19915 | + | 0.204357i | ||||
\(705\) | −12.5435 | −0.472417 | ||||||||
\(706\) | 0.595855 | − | 2.92530i | 0.0224253 | − | 0.110095i | ||||
\(707\) | 43.2105 | − | 8.59511i | 1.62510 | − | 0.323252i | ||||
\(708\) | −4.70294 | − | 11.6555i | −0.176747 | − | 0.438042i | ||||
\(709\) | −10.3388 | − | 15.4731i | −0.388281 | − | 0.581104i | 0.584911 | − | 0.811098i | \(-0.301129\pi\) |
−0.973192 | + | 0.229994i | \(0.926129\pi\) | |||||||
\(710\) | −0.253983 | + | 55.3089i | −0.00953180 | + | 2.07570i | ||||
\(711\) | −4.88897 | − | 2.02508i | −0.183351 | − | 0.0759463i | ||||
\(712\) | 14.1996 | − | 9.20749i | 0.532153 | − | 0.345065i | ||||
\(713\) | 16.0804 | − | 6.66071i | 0.602215 | − | 0.249445i | ||||
\(714\) | 29.2597 | − | 11.9626i | 1.09502 | − | 0.447690i | ||||
\(715\) | 2.59167 | − | 13.0292i | 0.0969229 | − | 0.487264i | ||||
\(716\) | 22.6522 | − | 14.8366i | 0.846553 | − | 0.554471i | ||||
\(717\) | 9.85080 | − | 14.7428i | 0.367885 | − | 0.550579i | ||||
\(718\) | −21.5526 | + | 31.9373i | −0.804337 | + | 1.19189i | ||||
\(719\) | −22.0403 | − | 22.0403i | −0.821965 | − | 0.821965i | 0.164425 | − | 0.986390i | \(-0.447423\pi\) |
−0.986390 | + | 0.164425i | \(0.947423\pi\) | |||||||
\(720\) | 2.55027 | + | 14.1773i | 0.0950431 | + | 0.528355i | ||||
\(721\) | −13.7893 | + | 13.7893i | −0.513539 | + | 0.513539i | ||||
\(722\) | 4.55566 | + | 23.4655i | 0.169544 | + | 0.873296i | ||||
\(723\) | 19.6629 | + | 13.1384i | 0.731273 | + | 0.488621i | ||||
\(724\) | −21.6874 | + | 31.8209i | −0.806006 | + | 1.18262i | ||||
\(725\) | 45.5110 | + | 9.05271i | 1.69024 | + | 0.336209i | ||||
\(726\) | −6.88132 | − | 2.88743i | −0.255390 | − | 0.107163i | ||||
\(727\) | −13.7095 | − | 33.0977i | −0.508458 | − | 1.22753i | −0.944771 | − | 0.327732i | \(-0.893716\pi\) |
0.436312 | − | 0.899795i | \(-0.356284\pi\) | |||||||
\(728\) | −11.0276 | − | 0.151927i | −0.408709 | − | 0.00563079i | ||||
\(729\) | 0.382683 | − | 0.923880i | 0.0141735 | − | 0.0342178i | ||||
\(730\) | −48.6952 | − | 49.1445i | −1.80229 | − | 1.81892i | ||||
\(731\) | −29.7147 | + | 19.8548i | −1.09904 | + | 0.734355i | ||||
\(732\) | −17.6287 | − | 0.161908i | −0.651575 | − | 0.00598429i | ||||
\(733\) | 5.88351 | + | 29.5784i | 0.217312 | + | 1.09250i | 0.923241 | + | 0.384220i | \(0.125530\pi\) |
−0.705929 | + | 0.708282i | \(0.749470\pi\) | |||||||
\(734\) | −21.5499 | + | 14.2565i | −0.795421 | + | 0.526216i | ||||
\(735\) | − | 40.2820i | − | 1.48582i | ||||||
\(736\) | 22.9188 | − | 32.6519i | 0.844798 | − | 1.20356i | ||||
\(737\) | 1.34210i | 0.0494367i | ||||||||
\(738\) | −0.932926 | − | 1.41020i | −0.0343415 | − | 0.0519101i | ||||
\(739\) | −8.19891 | − | 41.2187i | −0.301602 | − | 1.51626i | −0.773041 | − | 0.634357i | \(-0.781265\pi\) |
0.471439 | − | 0.881899i | \(-0.343735\pi\) | |||||||
\(740\) | −20.0228 | − | 20.3940i | −0.736054 | − | 0.749700i | ||||
\(741\) | 1.10107 | − | 0.735713i | 0.0404489 | − | 0.0270271i | ||||
\(742\) | 37.2185 | − | 36.8782i | 1.36633 | − | 1.35384i | ||||
\(743\) | −4.17592 | + | 10.0816i | −0.153200 | + | 0.369857i | −0.981782 | − | 0.190010i | \(-0.939148\pi\) |
0.828582 | + | 0.559867i | \(0.189148\pi\) | |||||||
\(744\) | 2.76005 | − | 6.41206i | 0.101188 | − | 0.235077i | ||||
\(745\) | −14.6301 | − | 35.3202i | −0.536006 | − | 1.29403i | ||||
\(746\) | −0.436569 | + | 1.04043i | −0.0159839 | + | 0.0380929i | ||||
\(747\) | 4.85313 | + | 0.965348i | 0.177567 | + | 0.0353203i | ||||
\(748\) | −7.86964 | − | 41.5543i | −0.287743 | − | 1.51938i | ||||
\(749\) | −60.2068 | − | 40.2289i | −2.19991 | − | 1.46993i | ||||
\(750\) | −14.8419 | + | 2.88144i | −0.541948 | + | 0.105215i | ||||
\(751\) | 9.56875 | − | 9.56875i | 0.349169 | − | 0.349169i | −0.510631 | − | 0.859800i | \(-0.670588\pi\) |
0.859800 | + | 0.510631i | \(0.170588\pi\) | |||||||
\(752\) | 13.9303 | + | 0.255902i | 0.507984 | + | 0.00933180i | ||||
\(753\) | 5.42279 | + | 5.42279i | 0.197618 | + | 0.197618i | ||||
\(754\) | −6.24153 | − | 4.21204i | −0.227303 | − | 0.153393i | ||||
\(755\) | 28.9192 | − | 43.2806i | 1.05248 | − | 1.57514i | ||||
\(756\) | 8.34943 | + | 1.74067i | 0.303666 | + | 0.0633075i | ||||
\(757\) | 5.47612 | − | 27.5303i | 0.199033 | − | 1.00061i | −0.744069 | − | 0.668103i | \(-0.767107\pi\) |
0.943102 | − | 0.332504i | \(-0.107893\pi\) | |||||||
\(758\) | −11.6291 | − | 28.4438i | −0.422387 | − | 1.03312i | ||||
\(759\) | 26.2856 | − | 10.8878i | 0.954105 | − | 0.395203i | ||||
\(760\) | 8.36396 | − | 12.1518i | 0.303393 | − | 0.440791i | ||||
\(761\) | 22.6499 | + | 9.38191i | 0.821060 | + | 0.340094i | 0.753357 | − | 0.657611i | \(-0.228433\pi\) |
0.0677025 | + | 0.997706i | \(0.478433\pi\) | |||||||
\(762\) | 3.76544 | + | 0.0172912i | 0.136407 | + | 0.000626394i | ||||
\(763\) | −23.4926 | − | 35.1592i | −0.850490 | − | 1.27285i | ||||
\(764\) | −4.87327 | − | 2.07121i | −0.176309 | − | 0.0749338i | ||||
\(765\) | −18.5129 | + | 3.68244i | −0.669335 | + | 0.133139i | ||||
\(766\) | −7.45928 | − | 1.51938i | −0.269515 | − | 0.0548976i | ||||
\(767\) | −5.74602 | −0.207477 | ||||||||
\(768\) | −2.54298 | − | 15.7966i | −0.0917619 | − | 0.570011i | ||||
\(769\) | −28.8978 | −1.04208 | −0.521040 | − | 0.853532i | \(-0.674456\pi\) | ||||
−0.521040 | + | 0.853532i | \(0.674456\pi\) | |||||||
\(770\) | −85.8588 | − | 17.4886i | −3.09414 | − | 0.630246i | ||||
\(771\) | −19.0373 | + | 3.78675i | −0.685611 | + | 0.136377i | ||||
\(772\) | −36.8516 | − | 15.6625i | −1.32632 | − | 0.563705i | ||||
\(773\) | 23.8801 | + | 35.7390i | 0.858906 | + | 1.28544i | 0.956947 | + | 0.290261i | \(0.0937422\pi\) |
−0.0980414 | + | 0.995182i | \(0.531258\pi\) | |||||||
\(774\) | −9.64235 | − | 0.0442785i | −0.346587 | − | 0.00159156i | ||||
\(775\) | 18.1704 | + | 7.52642i | 0.652700 | + | 0.270357i | ||||
\(776\) | −0.298759 | + | 0.434058i | −0.0107248 | + | 0.0155818i | ||||
\(777\) | −15.6340 | + | 6.47580i | −0.560865 | + | 0.232318i | ||||
\(778\) | −13.3752 | − | 32.7148i | −0.479526 | − | 1.17288i | ||||
\(779\) | −0.337821 | + | 1.69834i | −0.0121037 | + | 0.0608494i | ||||
\(780\) | 6.44689 | + | 1.34403i | 0.230836 | + | 0.0481241i | ||||
\(781\) | 24.3423 | − | 36.4308i | 0.871034 | − | 1.30359i | ||||
\(782\) | 43.3303 | + | 29.2411i | 1.54949 | + | 1.04566i | ||||
\(783\) | 4.11758 | + | 4.11758i | 0.147150 | + | 0.147150i | ||||
\(784\) | −0.821799 | + | 44.7353i | −0.0293500 | + | 1.59769i | ||||
\(785\) | 20.2957 | − | 20.2957i | 0.724386 | − | 0.724386i | ||||
\(786\) | 2.92446 | − | 0.567763i | 0.104312 | − | 0.0202514i | ||||
\(787\) | 33.6840 | + | 22.5070i | 1.20071 | + | 0.802286i | 0.984726 | − | 0.174111i | \(-0.0557053\pi\) |
0.215980 | + | 0.976398i | \(0.430705\pi\) | |||||||
\(788\) | −4.74687 | − | 25.0651i | −0.169100 | − | 0.892906i | ||||
\(789\) | 7.08673 | + | 1.40964i | 0.252294 | + | 0.0501844i | ||||
\(790\) | −10.4277 | + | 24.8513i | −0.371000 | + | 0.884168i | ||||
\(791\) | −0.0318297 | − | 0.0768436i | −0.00113173 | − | 0.00273224i | ||||
\(792\) | 4.51168 | − | 10.4814i | 0.160316 | − | 0.372440i | ||||
\(793\) | −3.08432 | + | 7.44620i | −0.109527 | + | 0.264422i | ||||
\(794\) | 1.50559 | − | 1.49182i | 0.0534313 | − | 0.0529428i | ||||
\(795\) | −26.0137 | + | 17.3818i | −0.922611 | + | 0.616469i | ||||
\(796\) | 24.5745 | + | 25.0301i | 0.871021 | + | 0.887169i | ||||
\(797\) | −2.99772 | − | 15.0706i | −0.106185 | − | 0.533827i | −0.996860 | − | 0.0791867i | \(-0.974768\pi\) |
0.890675 | − | 0.454641i | \(-0.150232\pi\) | |||||||
\(798\) | −4.81923 | − | 7.28469i | −0.170599 | − | 0.257875i | ||||
\(799\) | 18.2568i | 0.645880i | ||||||||
\(800\) | 44.4016 | − | 7.77686i | 1.56983 | − | 0.274953i | ||||
\(801\) | 5.98338i | 0.211412i | ||||||||
\(802\) | −5.42397 | + | 3.58826i | −0.191527 | + | 0.126706i | ||||
\(803\) | 10.6921 | + | 53.7528i | 0.377316 | + | 1.89689i | ||||
\(804\) | −0.665289 | − | 0.00611025i | −0.0234629 | − | 0.000215492i | ||||
\(805\) | 90.0484 | − | 60.1684i | 3.17379 | − | 2.12066i | ||||
\(806\) | −2.24632 | − | 2.26705i | −0.0791232 | − | 0.0798533i | ||||
\(807\) | 2.00948 | − | 4.85131i | 0.0707370 | − | 0.170774i | ||||
\(808\) | 29.2183 | + | 0.402540i | 1.02789 | + | 0.0141613i | ||||
\(809\) | 11.9187 | + | 28.7743i | 0.419039 | + | 1.01165i | 0.982626 | + | 0.185594i | \(0.0594209\pi\) |
−0.563587 | + | 0.826057i | \(0.690579\pi\) | |||||||
\(810\) | −4.69620 | − | 1.97054i | −0.165008 | − | 0.0692378i | ||||
\(811\) | 12.5013 | + | 2.48667i | 0.438982 | + | 0.0873189i | 0.409633 | − | 0.912250i | \(-0.365657\pi\) |
0.0293486 | + | 0.999569i | \(0.490657\pi\) | |||||||
\(812\) | −27.9706 | + | 41.0400i | −0.981577 | + | 1.44022i | ||||
\(813\) | 18.3833 | + | 12.2833i | 0.644731 | + | 0.430796i | ||||
\(814\) | 4.31495 | + | 22.2257i | 0.151239 | + | 0.779009i | ||||
\(815\) | −18.9339 | + | 18.9339i | −0.663226 | + | 0.663226i | ||||
\(816\) | 20.6347 | − | 3.71186i | 0.722358 | − | 0.129941i | ||||
\(817\) | 6.98258 | + | 6.98258i | 0.244290 | + | 0.244290i | ||||
\(818\) | −1.32347 | + | 1.96116i | −0.0462741 | + | 0.0685704i | ||||
\(819\) | 2.16628 | − | 3.24207i | 0.0756961 | − | 0.113287i | ||||
\(820\) | −7.20370 | + | 4.71824i | −0.251564 | + | 0.164768i | ||||
\(821\) | −0.879705 | + | 4.42257i | −0.0307019 | + | 0.154349i | −0.993095 | − | 0.117311i | \(-0.962573\pi\) |
0.962393 | + | 0.271660i | \(0.0875726\pi\) | |||||||
\(822\) | −18.5559 | + | 7.58646i | −0.647210 | + | 0.264608i | ||||
\(823\) | −44.9645 | + | 18.6249i | −1.56736 | + | 0.649223i | −0.986349 | − | 0.164671i | \(-0.947344\pi\) |
−0.581014 | + | 0.813894i | \(0.697344\pi\) | |||||||
\(824\) | −10.8523 | + | 7.03697i | −0.378057 | + | 0.245144i | ||||
\(825\) | 29.7020 | + | 12.3030i | 1.03409 | + | 0.428334i | ||||
\(826\) | −0.174037 | + | 37.8993i | −0.00605551 | + | 1.31869i | ||||
\(827\) | 14.7002 | + | 22.0005i | 0.511177 | + | 0.765031i | 0.993846 | − | 0.110772i | \(-0.0353324\pi\) |
−0.482668 | + | 0.875803i | \(0.660332\pi\) | |||||||
\(828\) | 5.27752 | + | 13.0796i | 0.183407 | + | 0.454546i | ||||
\(829\) | 15.3163 | − | 3.04659i | 0.531956 | − | 0.105813i | 0.0781983 | − | 0.996938i | \(-0.475083\pi\) |
0.453757 | + | 0.891125i | \(0.350083\pi\) | |||||||
\(830\) | 5.02984 | − | 24.6935i | 0.174588 | − | 0.857125i | ||||
\(831\) | 4.61816 | 0.160202 | ||||||||
\(832\) | −7.13219 | − | 1.62414i | −0.247264 | − | 0.0563070i | ||||
\(833\) | −58.6296 | −2.03139 | ||||||||
\(834\) | −3.80423 | + | 18.6765i | −0.131730 | + | 0.646715i | ||||
\(835\) | −67.2861 | + | 13.3840i | −2.32853 | + | 0.463174i | ||||
\(836\) | −10.8373 | + | 4.37277i | −0.374814 | + | 0.151235i | ||||
\(837\) | 1.37121 | + | 2.05216i | 0.0473958 | + | 0.0709329i | ||||
\(838\) | −0.198997 | + | 43.3348i | −0.00687424 | + | 1.49698i | ||||
\(839\) | −29.7793 | − | 12.3350i | −1.02810 | − | 0.425851i | −0.196071 | − | 0.980590i | \(-0.562818\pi\) |
−0.832025 | + | 0.554738i | \(0.812818\pi\) | |||||||
\(840\) | 9.06017 | − | 42.4814i | 0.312605 | − | 1.46575i | ||||
\(841\) | −4.53533 | + | 1.87860i | −0.156391 | + | 0.0647792i | ||||
\(842\) | −36.0560 | + | 14.7413i | −1.24257 | + | 0.508018i | ||||
\(843\) | −2.25164 | + | 11.3198i | −0.0775507 | + | 0.389874i | ||||
\(844\) | −6.34279 | − | 9.68402i | −0.218328 | − | 0.333338i | ||||
\(845\) | −24.3367 | + | 36.4225i | −0.837208 | + | 1.25297i | ||||
\(846\) | −2.75547 | + | 4.08314i | −0.0947352 | + | 0.140381i | ||||
\(847\) | 15.9119 | + | 15.9119i | 0.546741 | + | 0.546741i | ||||
\(848\) | 29.2442 | − | 18.7727i | 1.00425 | − | 0.644657i | ||||
\(849\) | −2.66007 | + | 2.66007i | −0.0912932 | + | 0.0912932i | ||||
\(850\) | 11.2575 | + | 57.9854i | 0.386128 | + | 1.98888i | ||||
\(851\) | −23.2676 | − | 15.5469i | −0.797604 | − | 0.532942i | ||||
\(852\) | 17.9482 | + | 12.2325i | 0.614896 | + | 0.419080i | ||||
\(853\) | 1.67452 | + | 0.333082i | 0.0573344 | + | 0.0114045i | 0.223674 | − | 0.974664i | \(-0.428195\pi\) |
−0.166340 | + | 0.986068i | \(0.553195\pi\) | |||||||
\(854\) | 49.0199 | + | 20.5689i | 1.67743 | + | 0.703854i | ||||
\(855\) | 1.99593 | + | 4.81860i | 0.0682594 | + | 0.164793i | ||||
\(856\) | −33.4887 | − | 34.4243i | −1.14462 | − | 1.17660i | ||||
\(857\) | 20.9746 | − | 50.6372i | 0.716479 | − | 1.72973i | 0.0333399 | − | 0.999444i | \(-0.489386\pi\) |
0.683139 | − | 0.730289i | \(-0.260614\pi\) | |||||||
\(858\) | −3.67191 | − | 3.70579i | −0.125357 | − | 0.126514i | ||||
\(859\) | 41.9553 | − | 28.0336i | 1.43150 | − | 0.956495i | 0.433016 | − | 0.901386i | \(-0.357449\pi\) |
0.998480 | − | 0.0551087i | \(-0.0175506\pi\) | |||||||
\(860\) | −0.451004 | + | 49.1057i | −0.0153791 | + | 1.67449i | ||||
\(861\) | 0.994704 | + | 5.00071i | 0.0338994 | + | 0.170424i | ||||
\(862\) | 30.5308 | − | 20.1979i | 1.03988 | − | 0.687943i | ||||
\(863\) | 1.64656i | 0.0560497i | 0.999607 | + | 0.0280248i | \(0.00892175\pi\) | ||||
−0.999607 | + | 0.0280248i | \(0.991078\pi\) | |||||||
\(864\) | 5.17517 | + | 2.28420i | 0.176063 | + | 0.0777100i | ||||
\(865\) | 65.4828i | 2.22648i | ||||||||
\(866\) | 20.8037 | + | 31.4466i | 0.706938 | + | 1.06860i | ||||
\(867\) | 2.04318 | + | 10.2718i | 0.0693900 | + | 0.348847i | ||||
\(868\) | −15.0209 | + | 14.7475i | −0.509843 | + | 0.500563i | ||||
\(869\) | 17.7514 | − | 11.8611i | 0.602176 | − | 0.402361i | ||||
\(870\) | 21.0664 | − | 20.8738i | 0.714218 | − | 0.707688i | ||||
\(871\) | −0.116399 | + | 0.281012i | −0.00394403 | + | 0.00952174i | ||||
\(872\) | −10.3748 | − | 26.0566i | −0.351335 | − | 0.882388i | ||||
\(873\) | −0.0712941 | − | 0.172119i | −0.00241294 | − | 0.00582536i | ||||
\(874\) | 5.58874 | − | 13.3191i | 0.189042 | − | 0.450525i | ||||
\(875\) | 44.7143 | + | 8.89423i | 1.51162 | + | 0.300680i | ||||
\(876\) | −26.6944 | + | 5.05544i | −0.901920 | + | 0.170807i | ||||
\(877\) | −16.8002 | − | 11.2255i | −0.567302 | − | 0.379059i | 0.238591 | − | 0.971120i | \(-0.423314\pi\) |
−0.805893 | + | 0.592061i | \(0.798314\pi\) | |||||||
\(878\) | −37.9832 | + | 7.37417i | −1.28187 | + | 0.248866i | ||||
\(879\) | −3.66711 | + | 3.66711i | −0.123688 | + | 0.123688i | ||||
\(880\) | −53.2742 | − | 23.2223i | −1.79587 | − | 0.782823i | ||||
\(881\) | −26.2013 | − | 26.2013i | −0.882745 | − | 0.882745i | 0.111067 | − | 0.993813i | \(-0.464573\pi\) |
−0.993813 | + | 0.111067i | \(0.964573\pi\) | |||||||
\(882\) | −13.1125 | − | 8.84886i | −0.441521 | − | 0.297957i | ||||
\(883\) | 18.3228 | − | 27.4220i | 0.616612 | − | 0.922825i | −0.383388 | − | 0.923587i | \(-0.625243\pi\) |
1.00000 | 0.000762785i | \(0.000242802\pi\) | ||||||||
\(884\) | 1.95621 | − | 9.38330i | 0.0657944 | − | 0.315595i | ||||
\(885\) | 4.41509 | − | 22.1961i | 0.148411 | − | 0.746115i | ||||
\(886\) | 8.39343 | + | 20.5297i | 0.281983 | + | 0.689708i | ||||
\(887\) | 9.72837 | − | 4.02962i | 0.326647 | − | 0.135302i | −0.213333 | − | 0.976980i | \(-0.568432\pi\) |
0.539980 | + | 0.841678i | \(0.318432\pi\) | |||||||
\(888\) | −11.0371 | + | 2.03777i | −0.370381 | + | 0.0683832i | ||||
\(889\) | −10.4902 | − | 4.34520i | −0.351831 | − | 0.145733i | ||||
\(890\) | 30.4723 | + | 0.139931i | 1.02143 | + | 0.00469050i | ||||
\(891\) | 2.24142 | + | 3.35453i | 0.0750905 | + | 0.112381i | ||||
\(892\) | −8.65292 | + | 20.3591i | −0.289721 | + | 0.681674i | ||||
\(893\) | 4.94772 | − | 0.984162i | 0.165569 | − | 0.0329337i | ||||
\(894\) | −14.7112 | − | 2.99653i | −0.492016 | − | 0.100219i | ||||
\(895\) | 48.7577 | 1.62979 | ||||||||
\(896\) | −10.9285 | + | 46.9930i | −0.365094 | + | 1.56993i | ||||
\(897\) | 6.44805 | 0.215294 | ||||||||
\(898\) | 38.8457 | + | 7.91251i | 1.29630 | + | 0.264044i | ||||
\(899\) | −14.0960 | + | 2.80386i | −0.470127 | + | 0.0935141i | ||||
\(900\) | −6.23391 | + | 14.6675i | −0.207797 | + | 0.488917i | ||||
\(901\) | 25.2988 | + | 37.8624i | 0.842826 | + | 1.26138i | ||||
\(902\) | 6.82163 | + | 0.0313255i | 0.227135 | + | 0.00104302i | ||||
\(903\) | 26.8629 | + | 11.1270i | 0.893942 | + | 0.370283i | ||||
\(904\) | −0.0100160 | − | 0.0542492i | −0.000333127 | − | 0.00180430i | ||||
\(905\) | −64.0606 | + | 26.5348i | −2.12945 | + | 0.882046i | ||||
\(906\) | −7.73584 | − | 18.9213i | −0.257006 | − | 0.628617i | ||||
\(907\) | 10.3715 | − | 52.1412i | 0.344381 | − | 1.73132i | −0.288867 | − | 0.957369i | \(-0.593278\pi\) |
0.633247 | − | 0.773949i | \(-0.281722\pi\) | |||||||
\(908\) | −3.02914 | + | 14.5298i | −0.100526 | + | 0.482189i | ||||
\(909\) | −5.73971 | + | 8.59008i | −0.190374 | + | 0.284915i | ||||
\(910\) | −16.4606 | − | 11.1083i | −0.545664 | − | 0.368237i | ||||
\(911\) | −1.48370 | − | 1.48370i | −0.0491572 | − | 0.0491572i | 0.682101 | − | 0.731258i | \(-0.261066\pi\) |
−0.731258 | + | 0.682101i | \(0.761066\pi\) | |||||||
\(912\) | −2.11828 | − | 5.39203i | −0.0701433 | − | 0.178548i | ||||
\(913\) | −14.1162 | + | 14.1162i | −0.467179 | + | 0.467179i | ||||
\(914\) | −22.6824 | + | 4.40363i | −0.750268 | + | 0.145659i | ||||
\(915\) | −26.3938 | − | 17.6358i | −0.872552 | − | 0.583021i | ||||
\(916\) | 55.8956 | − | 10.5856i | 1.84684 | − | 0.349759i | ||||
\(917\) | −8.81057 | − | 1.75253i | −0.290951 | − | 0.0578737i | ||||
\(918\) | −2.86808 | + | 6.83521i | −0.0946607 | + | 0.225596i | ||||
\(919\) | −7.67862 | − | 18.5378i | −0.253294 | − | 0.611507i | 0.745172 | − | 0.666873i | \(-0.232367\pi\) |
−0.998466 | + | 0.0553659i | \(0.982367\pi\) | |||||||
\(920\) | 66.7352 | − | 26.5716i | 2.20019 | − | 0.876039i | ||||
\(921\) | −2.49252 | + | 6.01746i | −0.0821312 | + | 0.198282i | ||||
\(922\) | −23.5458 | + | 23.3305i | −0.775439 | + | 0.768350i | ||||
\(923\) | 8.25647 | − | 5.51680i | 0.271765 | − | 0.181588i | ||||
\(924\) | −24.5537 | + | 24.1068i | −0.807758 | + | 0.793056i | ||||
\(925\) | −6.16893 | − | 31.0133i | −0.202833 | − | 1.01971i | ||||
\(926\) | 2.56384 | + | 3.87546i | 0.0842530 | + | 0.127356i | ||||
\(927\) | − | 4.57289i | − | 0.150194i | ||||||
\(928\) | −23.8212 | + | 22.7517i | −0.781969 | + | 0.746861i | ||||
\(929\) | 30.2284i | 0.991761i | 0.868391 | + | 0.495881i | \(0.165155\pi\) | ||||
−0.868391 | + | 0.495881i | \(0.834845\pi\) | |||||||
\(930\) | 10.4833 | − | 6.93531i | 0.343761 | − | 0.227418i | ||||
\(931\) | 3.16051 | + | 15.8890i | 0.103582 | + | 0.520740i | ||||
\(932\) | 0.0217975 | − | 2.37333i | 0.000714001 | − | 0.0777410i | ||||
\(933\) | −9.76143 | + | 6.52238i | −0.319575 | + | 0.213533i | ||||
\(934\) | 16.3536 | + | 16.5045i | 0.535106 | + | 0.540043i | ||||
\(935\) | 29.1424 | − | 70.3559i | 0.953058 | − | 2.30089i | ||||
\(936\) | 1.85371 | − | 1.80333i | 0.0605905 | − | 0.0589437i | ||||
\(937\) | −11.9287 | − | 28.7984i | −0.389693 | − | 0.940802i | −0.990004 | − | 0.141036i | \(-0.954957\pi\) |
0.600311 | − | 0.799766i | \(-0.295043\pi\) | |||||||
\(938\) | 1.84996 | + | 0.776251i | 0.0604034 | + | 0.0253455i | ||||
\(939\) | −25.6297 | − | 5.09807i | −0.836395 | − | 0.166369i | ||||
\(940\) | 20.7303 | + | 14.1286i | 0.676146 | + | 0.460825i | ||||
\(941\) | −4.25584 | − | 2.84366i | −0.138736 | − | 0.0927008i | 0.484265 | − | 0.874921i | \(-0.339087\pi\) |
−0.623002 | + | 0.782221i | \(0.714087\pi\) | |||||||
\(942\) | −2.14820 | − | 11.0650i | −0.0699922 | − | 0.360519i | ||||
\(943\) | −5.96204 | + | 5.96204i | −0.194151 | + | 0.194151i | ||||
\(944\) | −5.35601 | + | 24.5599i | −0.174323 | + | 0.799357i | ||||
\(945\) | 10.8592 | + | 10.8592i | 0.353250 | + | 0.353250i | ||||
\(946\) | 21.7611 | − | 32.2463i | 0.707515 | − | 1.04842i | ||||
\(947\) | −1.72719 | + | 2.58493i | −0.0561262 | + | 0.0839988i | −0.858471 | − | 0.512862i | \(-0.828585\pi\) |
0.802345 | + | 0.596860i | \(0.203585\pi\) | |||||||
\(948\) | 5.79885 | + | 8.85354i | 0.188338 | + | 0.287550i | ||||
\(949\) | −2.42320 | + | 12.1822i | −0.0786603 | + | 0.395452i | ||||
\(950\) | 15.1076 | − | 6.17664i | 0.490154 | − | 0.200397i | ||||
\(951\) | −9.66623 | + | 4.00388i | −0.313449 | + | 0.129835i | ||||
\(952\) | −61.8307 | − | 13.1869i | −2.00394 | − | 0.427389i | ||||
\(953\) | −38.2104 | − | 15.8273i | −1.23776 | − | 0.512696i | −0.334744 | − | 0.942309i | \(-0.608650\pi\) |
−0.903013 | + | 0.429613i | \(0.858650\pi\) | |||||||
\(954\) | −0.0564194 | + | 12.2862i | −0.00182664 | + | 0.397781i | ||||
\(955\) | −5.29706 | − | 7.92762i | −0.171409 | − | 0.256532i | ||||
\(956\) | −32.8858 | + | 13.2692i | −1.06360 | + | 0.429158i | ||||
\(957\) | −23.0418 | + | 4.58330i | −0.744836 | + | 0.148157i | ||||
\(958\) | −3.10237 | + | 15.2308i | −0.100233 | + | 0.492085i | ||||
\(959\) | 60.4499 | 1.95203 | ||||||||
\(960\) | 11.7540 | − | 26.3028i | 0.379360 | − | 0.848919i | ||||
\(961\) | 24.9085 | 0.803498 | ||||||||
\(962\) | −1.02414 | + | 5.02791i | −0.0330195 | + | 0.162106i | ||||
\(963\) | 16.6536 | − | 3.31261i | 0.536655 | − | 0.106747i | ||||
\(964\) | −17.6976 | − | 43.8610i | −0.570003 | − | 1.41267i | ||||
\(965\) | −40.0563 | − | 59.9486i | −1.28946 | − | 1.92981i | ||||
\(966\) | 0.195300 | − | 42.5297i | 0.00628367 | − | 1.36837i | ||||
\(967\) | −11.3633 | − | 4.70685i | −0.365420 | − | 0.151362i | 0.192415 | − | 0.981314i | \(-0.438368\pi\) |
−0.557835 | + | 0.829952i | \(0.688368\pi\) | |||||||
\(968\) | 8.12021 | + | 12.5228i | 0.260994 | + | 0.402499i | ||||
\(969\) | 7.01337 | − | 2.90503i | 0.225302 | − | 0.0933231i | ||||
\(970\) | −0.878239 | + | 0.359063i | −0.0281986 | + | 0.0115288i | ||||
\(971\) | −5.26747 | + | 26.4814i | −0.169041 | + | 0.849827i | 0.799441 | + | 0.600745i | \(0.205129\pi\) |
−0.968482 | + | 0.249083i | \(0.919871\pi\) | |||||||
\(972\) | −1.67307 | + | 1.09582i | −0.0536639 | + | 0.0351485i | ||||
\(973\) | 31.9310 | − | 47.7881i | 1.02366 | − | 1.53202i | ||||
\(974\) | −19.5354 | + | 28.9482i | −0.625955 | + | 0.927559i | ||||
\(975\) | 5.15206 | + | 5.15206i | 0.164998 | + | 0.164998i | ||||
\(976\) | 28.9519 | + | 20.1239i | 0.926729 | + | 0.644151i | ||||
\(977\) | −13.2125 | + | 13.2125i | −0.422705 | + | 0.422705i | −0.886134 | − | 0.463429i | \(-0.846619\pi\) |
0.463429 | + | 0.886134i | \(0.346619\pi\) | |||||||
\(978\) | 2.00406 | + | 10.3226i | 0.0640828 | + | 0.330080i | ||||
\(979\) | −20.0714 | − | 13.4113i | −0.641485 | − | 0.428627i | ||||
\(980\) | −45.3723 | + | 66.5726i | −1.44936 | + | 2.12658i | ||||
\(981\) | 9.72526 | + | 1.93447i | 0.310504 | + | 0.0617630i | ||||
\(982\) | 11.5565 | + | 4.84917i | 0.368784 | + | 0.154743i | ||||
\(983\) | −11.8702 | − | 28.6573i | −0.378601 | − | 0.914025i | −0.992229 | − | 0.124429i | \(-0.960290\pi\) |
0.613627 | − | 0.789596i | \(-0.289710\pi\) | |||||||
\(984\) | −0.0465856 | + | 3.38140i | −0.00148510 | + | 0.107795i | ||||
\(985\) | 17.5783 | − | 42.4378i | 0.560092 | − | 1.35218i | ||||
\(986\) | −30.3813 | − | 30.6617i | −0.967539 | − | 0.976466i | ||||
\(987\) | 12.3505 | − | 8.25233i | 0.393120 | − | 0.262675i | ||||
\(988\) | −2.64839 | − | 0.0243237i | −0.0842564 | − | 0.000773840i | ||||
\(989\) | 9.38048 | + | 47.1589i | 0.298282 | + | 1.49956i | ||||
\(990\) | 17.1364 | − | 11.3367i | 0.544631 | − | 0.360304i | ||||
\(991\) | 10.9584i | 0.348106i | 0.984736 | + | 0.174053i | \(0.0556864\pi\) | ||||
−0.984736 | + | 0.174053i | \(0.944314\pi\) | |||||||
\(992\) | −11.7838 | + | 7.48815i | −0.374135 | + | 0.237749i | ||||
\(993\) | − | 16.6399i | − | 0.528050i | ||||||
\(994\) | −36.1374 | − | 54.6247i | −1.14621 | − | 1.73259i | ||||
\(995\) | 12.3219 | + | 61.9466i | 0.390632 | + | 1.96384i | ||||
\(996\) | −6.93327 | − | 7.06180i | −0.219689 | − | 0.223762i | ||||
\(997\) | −27.7306 | + | 18.5290i | −0.878237 | + | 0.586819i | −0.910891 | − | 0.412647i | \(-0.864604\pi\) |
0.0326537 | + | 0.999467i | \(0.489604\pi\) | |||||||
\(998\) | 26.0934 | − | 25.8548i | 0.825971 | − | 0.818420i | ||||
\(999\) | 1.51855 | − | 3.66610i | 0.0480447 | − | 0.115990i |
(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 | 192.2.r.a.181.2 | yes | 128 | |
3.2 | odd | 2 | 576.2.bd.b.181.15 | 128 | |||
4.3 | odd | 2 | 768.2.r.a.49.15 | 128 | |||
64.29 | even | 16 | inner | 192.2.r.a.157.2 | ✓ | 128 | |
64.35 | odd | 16 | 768.2.r.a.721.15 | 128 | |||
192.29 | odd | 16 | 576.2.bd.b.541.15 | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.r.a.157.2 | ✓ | 128 | 64.29 | even | 16 | inner | |
192.2.r.a.181.2 | yes | 128 | 1.1 | even | 1 | trivial | |
576.2.bd.b.181.15 | 128 | 3.2 | odd | 2 | |||
576.2.bd.b.541.15 | 128 | 192.29 | odd | 16 | |||
768.2.r.a.49.15 | 128 | 4.3 | odd | 2 | |||
768.2.r.a.721.15 | 128 | 64.35 | odd | 16 |