Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 166.10 | ||
Character | \(\chi\) | \(=\) | 225.166 |
Dual form | 225.2.q.a.61.10 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0944267 | + | 0.898410i | −0.0667697 | + | 0.635272i | 0.909049 | + | 0.416690i | \(0.136810\pi\) |
−0.975819 | + | 0.218582i | \(0.929857\pi\) | |||||||
\(3\) | 1.34957 | + | 1.08566i | 0.779175 | + | 0.626807i | ||||
\(4\) | 1.15807 | + | 0.246156i | 0.579036 | + | 0.123078i | ||||
\(5\) | −0.280458 | + | 2.21841i | −0.125425 | + | 0.992103i | ||||
\(6\) | −1.10280 | + | 1.10995i | −0.450218 | + | 0.453136i | ||||
\(7\) | −1.53265 | − | 2.65463i | −0.579288 | − | 1.00336i | −0.995561 | − | 0.0941164i | \(-0.969997\pi\) |
0.416273 | − | 0.909239i | \(-0.363336\pi\) | |||||||
\(8\) | −0.888808 | + | 2.73547i | −0.314241 | + | 0.967134i | ||||
\(9\) | 0.642678 | + | 2.93035i | 0.214226 | + | 0.976784i | ||||
\(10\) | −1.96656 | − | 0.461443i | −0.621880 | − | 0.145921i | ||||
\(11\) | 0.137323 | − | 1.30654i | 0.0414044 | − | 0.393937i | −0.954119 | − | 0.299426i | \(-0.903205\pi\) |
0.995524 | − | 0.0945105i | \(-0.0301286\pi\) | |||||||
\(12\) | 1.29566 | + | 1.58948i | 0.374024 | + | 0.458843i | ||||
\(13\) | −0.522291 | − | 4.96927i | −0.144858 | − | 1.37823i | −0.789504 | − | 0.613746i | \(-0.789662\pi\) |
0.644646 | − | 0.764481i | \(-0.277005\pi\) | |||||||
\(14\) | 2.52967 | − | 1.12628i | 0.676082 | − | 0.301011i | ||||
\(15\) | −2.78694 | + | 2.68942i | −0.719585 | + | 0.694404i | ||||
\(16\) | −0.210472 | − | 0.0937080i | −0.0526179 | − | 0.0234270i | ||||
\(17\) | 1.36059 | − | 4.18745i | 0.329991 | − | 1.01561i | −0.639147 | − | 0.769085i | \(-0.720712\pi\) |
0.969137 | − | 0.246522i | \(-0.0792877\pi\) | |||||||
\(18\) | −2.69334 | + | 0.300684i | −0.634827 | + | 0.0708720i | ||||
\(19\) | −1.05356 | + | 3.24253i | −0.241703 | + | 0.743887i | 0.754458 | + | 0.656349i | \(0.227900\pi\) |
−0.996161 | + | 0.0875381i | \(0.972100\pi\) | |||||||
\(20\) | −0.870865 | + | 2.50004i | −0.194731 | + | 0.559026i | ||||
\(21\) | 0.813610 | − | 5.24655i | 0.177544 | − | 1.14489i | ||||
\(22\) | 1.16084 | + | 0.246745i | 0.247492 | + | 0.0526061i | ||||
\(23\) | 5.20744 | − | 2.31850i | 1.08583 | − | 0.483441i | 0.215796 | − | 0.976439i | \(-0.430766\pi\) |
0.870031 | + | 0.492998i | \(0.164099\pi\) | |||||||
\(24\) | −4.16930 | + | 2.72676i | −0.851055 | + | 0.556598i | ||||
\(25\) | −4.84269 | − | 1.24434i | −0.968537 | − | 0.248868i | ||||
\(26\) | 4.51376 | 0.885221 | ||||||||
\(27\) | −2.31403 | + | 4.65245i | −0.445336 | + | 0.895364i | ||||
\(28\) | −1.12147 | − | 3.45152i | −0.211937 | − | 0.652277i | ||||
\(29\) | −4.40263 | + | 4.88961i | −0.817547 | + | 0.907978i | −0.997126 | − | 0.0757657i | \(-0.975860\pi\) |
0.179579 | + | 0.983744i | \(0.442527\pi\) | |||||||
\(30\) | −2.15304 | − | 2.75777i | −0.393089 | − | 0.503497i | ||||
\(31\) | 3.64850 | + | 4.05207i | 0.655290 | + | 0.727773i | 0.975604 | − | 0.219538i | \(-0.0704552\pi\) |
−0.320314 | + | 0.947311i | \(0.603788\pi\) | |||||||
\(32\) | −2.77218 | + | 4.80156i | −0.490057 | + | 0.848803i | ||||
\(33\) | 1.60379 | − | 1.61418i | 0.279184 | − | 0.280993i | ||||
\(34\) | 3.63357 | + | 1.61777i | 0.623153 | + | 0.277445i | ||||
\(35\) | 6.31890 | − | 2.65554i | 1.06809 | − | 0.448868i | ||||
\(36\) | 0.0229438 | + | 3.55176i | 0.00382396 | + | 0.591959i | ||||
\(37\) | 5.90992 | − | 4.29381i | 0.971584 | − | 0.705897i | 0.0157722 | − | 0.999876i | \(-0.494979\pi\) |
0.955812 | + | 0.293978i | \(0.0949793\pi\) | |||||||
\(38\) | −2.81363 | − | 1.25271i | −0.456432 | − | 0.203216i | ||||
\(39\) | 4.69008 | − | 7.27341i | 0.751013 | − | 1.16468i | ||||
\(40\) | −5.81912 | − | 2.73892i | −0.920083 | − | 0.433062i | ||||
\(41\) | −0.166456 | − | 1.58372i | −0.0259961 | − | 0.247336i | −0.999801 | − | 0.0199508i | \(-0.993649\pi\) |
0.973805 | − | 0.227385i | \(-0.0730176\pi\) | |||||||
\(42\) | 4.63672 | + | 1.22637i | 0.715462 | + | 0.189233i | ||||
\(43\) | −2.24167 | − | 3.88268i | −0.341851 | − | 0.592103i | 0.642926 | − | 0.765929i | \(-0.277720\pi\) |
−0.984776 | + | 0.173826i | \(0.944387\pi\) | |||||||
\(44\) | 0.480642 | − | 1.47926i | 0.0724595 | − | 0.223008i | ||||
\(45\) | −6.68097 | + | 0.603882i | −0.995940 | + | 0.0900214i | ||||
\(46\) | 1.59124 | + | 4.89734i | 0.234616 | + | 0.722074i | ||||
\(47\) | −4.44418 | + | 4.93576i | −0.648250 | + | 0.719955i | −0.974264 | − | 0.225410i | \(-0.927628\pi\) |
0.326014 | + | 0.945365i | \(0.394294\pi\) | |||||||
\(48\) | −0.182311 | − | 0.354967i | −0.0263143 | − | 0.0512350i | ||||
\(49\) | −1.19804 | + | 2.07507i | −0.171149 | + | 0.296438i | ||||
\(50\) | 1.57521 | − | 4.23322i | 0.222768 | − | 0.598667i | ||||
\(51\) | 6.38236 | − | 4.17412i | 0.893710 | − | 0.584494i | ||||
\(52\) | 0.618363 | − | 5.88333i | 0.0857516 | − | 0.815872i | ||||
\(53\) | −2.18021 | − | 6.70999i | −0.299475 | − | 0.921688i | −0.981682 | − | 0.190529i | \(-0.938980\pi\) |
0.682207 | − | 0.731159i | \(-0.261020\pi\) | |||||||
\(54\) | −3.96130 | − | 2.51826i | −0.539064 | − | 0.342692i | ||||
\(55\) | 2.85993 | + | 0.671068i | 0.385633 | + | 0.0904868i | ||||
\(56\) | 8.62389 | − | 1.83306i | 1.15242 | − | 0.244954i | ||||
\(57\) | −4.94214 | + | 3.23221i | −0.654603 | + | 0.428116i | ||||
\(58\) | −3.97715 | − | 4.41707i | −0.522225 | − | 0.579990i | ||||
\(59\) | 0.368583 | + | 3.50683i | 0.0479854 | + | 0.456550i | 0.991962 | + | 0.126537i | \(0.0403864\pi\) |
−0.943976 | + | 0.330013i | \(0.892947\pi\) | |||||||
\(60\) | −3.88949 | + | 2.42852i | −0.502131 | + | 0.313520i | ||||
\(61\) | 1.28168 | − | 12.1944i | 0.164103 | − | 1.56133i | −0.534093 | − | 0.845426i | \(-0.679347\pi\) |
0.698196 | − | 0.715907i | \(-0.253986\pi\) | |||||||
\(62\) | −3.98493 | + | 2.89522i | −0.506087 | + | 0.367694i | ||||
\(63\) | 6.79400 | − | 6.19728i | 0.855964 | − | 0.780784i | ||||
\(64\) | −4.42478 | − | 3.21479i | −0.553097 | − | 0.401848i | ||||
\(65\) | 11.1704 | + | 0.235015i | 1.38551 | + | 0.0291501i | ||||
\(66\) | 1.29876 | + | 1.59328i | 0.159866 | + | 0.196119i | ||||
\(67\) | 3.68929 | + | 4.09737i | 0.450719 | + | 0.500574i | 0.925088 | − | 0.379752i | \(-0.123991\pi\) |
−0.474370 | + | 0.880326i | \(0.657324\pi\) | |||||||
\(68\) | 2.60642 | − | 4.51446i | 0.316075 | − | 0.547458i | ||||
\(69\) | 9.54491 | + | 2.52454i | 1.14907 | + | 0.303919i | ||||
\(70\) | 1.78909 | + | 5.92772i | 0.213837 | + | 0.708498i | ||||
\(71\) | −2.00148 | − | 6.15992i | −0.237532 | − | 0.731048i | −0.996775 | − | 0.0802415i | \(-0.974431\pi\) |
0.759244 | − | 0.650807i | \(-0.225569\pi\) | |||||||
\(72\) | −8.58710 | − | 0.846495i | −1.01200 | − | 0.0997604i | ||||
\(73\) | 5.08449 | + | 3.69410i | 0.595094 | + | 0.432361i | 0.844134 | − | 0.536132i | \(-0.180115\pi\) |
−0.249040 | + | 0.968493i | \(0.580115\pi\) | |||||||
\(74\) | 3.29954 | + | 5.71498i | 0.383564 | + | 0.664352i | ||||
\(75\) | −5.18461 | − | 6.93685i | −0.598667 | − | 0.800998i | ||||
\(76\) | −2.01827 | + | 3.49574i | −0.231511 | + | 0.400989i | ||||
\(77\) | −3.67885 | + | 1.63793i | −0.419244 | + | 0.186659i | ||||
\(78\) | 6.09163 | + | 4.90041i | 0.689741 | + | 0.554862i | ||||
\(79\) | 1.88852 | − | 2.09741i | 0.212475 | − | 0.235977i | −0.627481 | − | 0.778632i | \(-0.715914\pi\) |
0.839956 | + | 0.542655i | \(0.182581\pi\) | |||||||
\(80\) | 0.266911 | − | 0.440631i | 0.0298416 | − | 0.0492641i | ||||
\(81\) | −8.17393 | + | 3.76654i | −0.908215 | + | 0.418505i | ||||
\(82\) | 1.43855 | 0.158861 | ||||||||
\(83\) | −11.8007 | + | 2.50831i | −1.29529 | + | 0.275323i | −0.803456 | − | 0.595364i | \(-0.797008\pi\) |
−0.491838 | + | 0.870687i | \(0.663675\pi\) | |||||||
\(84\) | 2.23369 | − | 5.87561i | 0.243715 | − | 0.641081i | ||||
\(85\) | 8.90790 | + | 4.19274i | 0.966198 | + | 0.454767i | ||||
\(86\) | 3.69991 | − | 1.64731i | 0.398971 | − | 0.177634i | ||||
\(87\) | −11.2501 | + | 1.81911i | −1.20614 | + | 0.195029i | ||||
\(88\) | 3.45195 | + | 1.53691i | 0.367979 | + | 0.163835i | ||||
\(89\) | 5.99213 | + | 4.35354i | 0.635164 | + | 0.461474i | 0.858185 | − | 0.513340i | \(-0.171592\pi\) |
−0.223021 | + | 0.974814i | \(0.571592\pi\) | |||||||
\(90\) | 0.0883282 | − | 6.05927i | 0.00931061 | − | 0.638703i | ||||
\(91\) | −12.3911 | + | 9.00265i | −1.29894 | + | 0.943734i | ||||
\(92\) | 6.60130 | − | 1.40315i | 0.688233 | − | 0.146288i | ||||
\(93\) | 0.524729 | + | 9.42958i | 0.0544118 | + | 0.977802i | ||||
\(94\) | −4.01469 | − | 4.45876i | −0.414083 | − | 0.459886i | ||||
\(95\) | −6.89777 | − | 3.24662i | −0.707697 | − | 0.333096i | ||||
\(96\) | −8.95412 | + | 3.47039i | −0.913876 | + | 0.354195i | ||||
\(97\) | −11.3905 | + | 12.6505i | −1.15653 | + | 1.28446i | −0.204361 | + | 0.978896i | \(0.565512\pi\) |
−0.952171 | + | 0.305564i | \(0.901155\pi\) | |||||||
\(98\) | −1.75113 | − | 1.27227i | −0.176891 | − | 0.128519i | ||||
\(99\) | 3.91688 | − | 0.437280i | 0.393661 | − | 0.0439483i | ||||
\(100\) | −5.30188 | − | 2.63309i | −0.530188 | − | 0.263309i | ||||
\(101\) | −6.32691 | − | 10.9585i | −0.629551 | − | 1.09042i | −0.987642 | − | 0.156728i | \(-0.949905\pi\) |
0.358090 | − | 0.933687i | \(-0.383428\pi\) | |||||||
\(102\) | 3.14741 | + | 6.12813i | 0.311640 | + | 0.606775i | ||||
\(103\) | −18.1574 | − | 3.85947i | −1.78910 | − | 0.380285i | −0.810447 | − | 0.585812i | \(-0.800776\pi\) |
−0.978651 | + | 0.205527i | \(0.934109\pi\) | |||||||
\(104\) | 14.0575 | + | 2.98801i | 1.37845 | + | 0.292999i | ||||
\(105\) | 11.4108 | + | 3.27636i | 1.11358 | + | 0.319740i | ||||
\(106\) | 6.23419 | − | 1.32512i | 0.605518 | − | 0.128707i | ||||
\(107\) | −12.3221 | −1.19122 | −0.595611 | − | 0.803273i | \(-0.703090\pi\) | ||||
−0.595611 | + | 0.803273i | \(0.703090\pi\) | |||||||
\(108\) | −3.82504 | + | 4.81825i | −0.368065 | + | 0.463637i | ||||
\(109\) | −0.372310 | + | 0.270499i | −0.0356608 | + | 0.0259091i | −0.605473 | − | 0.795866i | \(-0.707016\pi\) |
0.569812 | + | 0.821775i | \(0.307016\pi\) | |||||||
\(110\) | −0.872948 | + | 2.50602i | −0.0832323 | + | 0.238940i | ||||
\(111\) | 12.6375 | + | 0.621379i | 1.19950 | + | 0.0589787i | ||||
\(112\) | 0.0738196 | + | 0.702346i | 0.00697529 | + | 0.0663655i | ||||
\(113\) | 1.23627 | + | 11.7623i | 0.116298 | + | 1.10650i | 0.884579 | + | 0.466391i | \(0.154446\pi\) |
−0.768280 | + | 0.640113i | \(0.778887\pi\) | |||||||
\(114\) | −2.43718 | − | 4.74527i | −0.228262 | − | 0.444436i | ||||
\(115\) | 3.68292 | + | 12.2025i | 0.343434 | + | 1.13789i | ||||
\(116\) | −6.30216 | + | 4.57879i | −0.585141 | + | 0.425130i | ||||
\(117\) | 14.2260 | − | 4.72414i | 1.31520 | − | 0.436746i | ||||
\(118\) | −3.18537 | −0.293237 | ||||||||
\(119\) | −13.2014 | + | 2.80605i | −1.21017 | + | 0.257231i | ||||
\(120\) | −4.87976 | − | 10.0140i | −0.445459 | − | 0.914146i | ||||
\(121\) | 9.07143 | + | 1.92819i | 0.824676 | + | 0.175290i | ||||
\(122\) | 10.8345 | + | 2.30295i | 0.980913 | + | 0.208499i | ||||
\(123\) | 1.49474 | − | 2.31806i | 0.134776 | − | 0.209012i | ||||
\(124\) | 3.22778 | + | 5.59068i | 0.289863 | + | 0.502058i | ||||
\(125\) | 4.11863 | − | 10.3941i | 0.368382 | − | 0.929675i | ||||
\(126\) | 4.92616 | + | 6.68898i | 0.438857 | + | 0.595902i | ||||
\(127\) | 14.1647 | + | 10.2913i | 1.25691 | + | 0.913201i | 0.998602 | − | 0.0528609i | \(-0.0168340\pi\) |
0.258311 | + | 0.966062i | \(0.416834\pi\) | |||||||
\(128\) | −4.11379 | + | 4.56882i | −0.363611 | + | 0.403831i | ||||
\(129\) | 1.18999 | − | 7.67364i | 0.104773 | − | 0.675626i | ||||
\(130\) | −1.26592 | + | 10.0134i | −0.111028 | + | 0.878230i | ||||
\(131\) | −3.51142 | − | 3.89983i | −0.306794 | − | 0.340730i | 0.569956 | − | 0.821675i | \(-0.306960\pi\) |
−0.876751 | + | 0.480945i | \(0.840293\pi\) | |||||||
\(132\) | 2.25464 | − | 1.47456i | 0.196241 | − | 0.128344i | ||||
\(133\) | 10.2225 | − | 2.17285i | 0.886399 | − | 0.188410i | ||||
\(134\) | −4.02949 | + | 2.92759i | −0.348095 | + | 0.252906i | ||||
\(135\) | −9.67204 | − | 6.43829i | −0.832437 | − | 0.554120i | ||||
\(136\) | 10.2453 | + | 7.44368i | 0.878531 | + | 0.638290i | ||||
\(137\) | −1.66112 | − | 0.739580i | −0.141919 | − | 0.0631866i | 0.334548 | − | 0.942379i | \(-0.391416\pi\) |
−0.476468 | + | 0.879192i | \(0.658083\pi\) | |||||||
\(138\) | −3.16936 | + | 8.33686i | −0.269794 | + | 0.709681i | ||||
\(139\) | −9.38142 | + | 4.17688i | −0.795721 | + | 0.354278i | −0.763998 | − | 0.645219i | \(-0.776766\pi\) |
−0.0317235 | + | 0.999497i | \(0.510100\pi\) | |||||||
\(140\) | 7.97142 | − | 1.51987i | 0.673708 | − | 0.128452i | ||||
\(141\) | −11.3563 | + | 1.83628i | −0.956373 | + | 0.154643i | ||||
\(142\) | 5.72313 | − | 1.21649i | 0.480274 | − | 0.102085i | ||||
\(143\) | −6.56427 | −0.548932 | ||||||||
\(144\) | 0.139332 | − | 0.676980i | 0.0116110 | − | 0.0564150i | ||||
\(145\) | −9.61241 | − | 11.1382i | −0.798267 | − | 0.924974i | ||||
\(146\) | −3.79892 | + | 4.21913i | −0.314401 | + | 0.349178i | ||||
\(147\) | −3.86966 | + | 1.49978i | −0.319164 | + | 0.123700i | ||||
\(148\) | 7.90105 | − | 3.51777i | 0.649462 | − | 0.289159i | ||||
\(149\) | −3.40851 | + | 5.90371i | −0.279236 | + | 0.483651i | −0.971195 | − | 0.238286i | \(-0.923415\pi\) |
0.691959 | + | 0.721937i | \(0.256748\pi\) | |||||||
\(150\) | 6.72169 | − | 4.00288i | 0.548824 | − | 0.326834i | ||||
\(151\) | 9.80375 | + | 16.9806i | 0.797818 | + | 1.38186i | 0.921034 | + | 0.389482i | \(0.127346\pi\) |
−0.123216 | + | 0.992380i | \(0.539321\pi\) | |||||||
\(152\) | −7.93342 | − | 5.76397i | −0.643485 | − | 0.467519i | ||||
\(153\) | 13.1451 | + | 1.29581i | 1.06272 | + | 0.104760i | ||||
\(154\) | −1.12415 | − | 3.45978i | −0.0905866 | − | 0.278797i | ||||
\(155\) | −10.0124 | + | 6.95743i | −0.804215 | + | 0.558834i | ||||
\(156\) | 7.22183 | − | 7.26864i | 0.578210 | − | 0.581957i | ||||
\(157\) | 7.62958 | − | 13.2148i | 0.608907 | − | 1.05466i | −0.382514 | − | 0.923950i | \(-0.624942\pi\) |
0.991421 | − | 0.130708i | \(-0.0417251\pi\) | |||||||
\(158\) | 1.70601 | + | 1.89471i | 0.135723 | + | 0.150735i | ||||
\(159\) | 4.34244 | − | 11.4226i | 0.344378 | − | 0.905868i | ||||
\(160\) | −9.87434 | − | 7.49647i | −0.780635 | − | 0.592648i | ||||
\(161\) | −14.1360 | − | 10.2704i | −1.11407 | − | 0.809419i | ||||
\(162\) | −2.61206 | − | 7.69920i | −0.205223 | − | 0.604906i | ||||
\(163\) | −0.570284 | + | 0.414336i | −0.0446681 | + | 0.0324533i | −0.609895 | − | 0.792482i | \(-0.708789\pi\) |
0.565227 | + | 0.824935i | \(0.308789\pi\) | |||||||
\(164\) | 0.197075 | − | 1.87504i | 0.0153889 | − | 0.146416i | ||||
\(165\) | 3.13112 | + | 4.01057i | 0.243757 | + | 0.312222i | ||||
\(166\) | −1.13919 | − | 10.8387i | −0.0884186 | − | 0.841247i | ||||
\(167\) | −3.02187 | − | 3.35613i | −0.233839 | − | 0.259705i | 0.614792 | − | 0.788689i | \(-0.289240\pi\) |
−0.848632 | + | 0.528984i | \(0.822573\pi\) | |||||||
\(168\) | 13.6286 | + | 6.88878i | 1.05147 | + | 0.531481i | ||||
\(169\) | −11.7049 | + | 2.48796i | −0.900379 | + | 0.191381i | ||||
\(170\) | −4.60794 | + | 7.60704i | −0.353413 | + | 0.583433i | ||||
\(171\) | −10.1788 | − | 1.00340i | −0.778396 | − | 0.0767323i | ||||
\(172\) | −1.64027 | − | 5.04822i | −0.125069 | − | 0.384923i | ||||
\(173\) | 0.455293 | − | 4.33182i | 0.0346153 | − | 0.329342i | −0.963487 | − | 0.267757i | \(-0.913718\pi\) |
0.998102 | − | 0.0615856i | \(-0.0196157\pi\) | |||||||
\(174\) | −0.571995 | − | 10.2790i | −0.0433629 | − | 0.779248i | ||||
\(175\) | 4.11888 | + | 14.7627i | 0.311358 | + | 1.11595i | ||||
\(176\) | −0.151336 | + | 0.262122i | −0.0114074 | + | 0.0197582i | ||||
\(177\) | −3.30980 | + | 5.13287i | −0.248780 | + | 0.385810i | ||||
\(178\) | −4.47708 | + | 4.97230i | −0.335571 | + | 0.372689i | ||||
\(179\) | −0.115016 | − | 0.353983i | −0.00859671 | − | 0.0264579i | 0.946666 | − | 0.322216i | \(-0.104428\pi\) |
−0.955263 | + | 0.295758i | \(0.904428\pi\) | |||||||
\(180\) | −7.88569 | − | 0.945220i | −0.587764 | − | 0.0704525i | ||||
\(181\) | 1.51210 | − | 4.65376i | 0.112393 | − | 0.345912i | −0.879001 | − | 0.476820i | \(-0.841789\pi\) |
0.991394 | + | 0.130908i | \(0.0417894\pi\) | |||||||
\(182\) | −6.91802 | − | 11.9824i | −0.512797 | − | 0.888191i | ||||
\(183\) | 14.9687 | − | 15.0657i | 1.10652 | − | 1.11369i | ||||
\(184\) | 1.71378 | + | 16.3055i | 0.126341 | + | 1.20206i | ||||
\(185\) | 7.86794 | + | 14.3149i | 0.578462 | + | 1.05245i | ||||
\(186\) | −8.52118 | − | 0.418983i | −0.624803 | − | 0.0307213i | ||||
\(187\) | −5.28424 | − | 2.35269i | −0.386422 | − | 0.172046i | ||||
\(188\) | −6.36165 | + | 4.62201i | −0.463971 | + | 0.337094i | ||||
\(189\) | 15.8971 | − | 0.987677i | 1.15635 | − | 0.0718429i | ||||
\(190\) | 3.56813 | − | 5.89046i | 0.258859 | − | 0.427339i | ||||
\(191\) | 3.83399 | + | 1.70700i | 0.277418 | + | 0.123514i | 0.540730 | − | 0.841196i | \(-0.318148\pi\) |
−0.263312 | + | 0.964711i | \(0.584815\pi\) | |||||||
\(192\) | −2.48137 | − | 9.14239i | −0.179078 | − | 0.659795i | ||||
\(193\) | 1.47540 | − | 2.55547i | 0.106202 | − | 0.183946i | −0.808027 | − | 0.589146i | \(-0.799464\pi\) |
0.914228 | + | 0.405199i | \(0.132798\pi\) | |||||||
\(194\) | −10.2897 | − | 11.4279i | −0.738759 | − | 0.820475i | ||||
\(195\) | 14.8200 | + | 12.4444i | 1.06128 | + | 0.891162i | ||||
\(196\) | −1.89821 | + | 2.10817i | −0.135586 | + | 0.150584i | ||||
\(197\) | −2.11764 | − | 6.51743i | −0.150876 | − | 0.464348i | 0.846844 | − | 0.531842i | \(-0.178500\pi\) |
−0.997720 | + | 0.0674935i | \(0.978500\pi\) | |||||||
\(198\) | 0.0229987 | + | 3.56025i | 0.00163444 | + | 0.253016i | ||||
\(199\) | 9.62725 | 0.682458 | 0.341229 | − | 0.939980i | \(-0.389157\pi\) | ||||
0.341229 | + | 0.939980i | \(0.389157\pi\) | |||||||
\(200\) | 7.70808 | − | 12.1410i | 0.545043 | − | 0.858501i | ||||
\(201\) | 0.530596 | + | 9.53501i | 0.0374253 | + | 0.672548i | ||||
\(202\) | 10.4427 | − | 4.64938i | 0.734745 | − | 0.327129i | ||||
\(203\) | 19.7278 | + | 4.19327i | 1.38462 | + | 0.294310i | ||||
\(204\) | 8.41872 | − | 3.26288i | 0.589428 | − | 0.228447i | ||||
\(205\) | 3.56003 | + | 0.0749002i | 0.248643 | + | 0.00523126i | ||||
\(206\) | 5.18192 | − | 15.9483i | 0.361042 | − | 1.11117i | ||||
\(207\) | 10.1407 | + | 13.7696i | 0.704830 | + | 0.957052i | ||||
\(208\) | −0.355733 | + | 1.09483i | −0.0246656 | + | 0.0759130i | ||||
\(209\) | 4.09181 | + | 1.82179i | 0.283037 | + | 0.126016i | ||||
\(210\) | −4.02100 | + | 9.94221i | −0.277475 | + | 0.686078i | ||||
\(211\) | −5.67978 | + | 2.52880i | −0.391012 | + | 0.174090i | −0.592819 | − | 0.805336i | \(-0.701985\pi\) |
0.201807 | + | 0.979425i | \(0.435319\pi\) | |||||||
\(212\) | −0.873134 | − | 8.30732i | −0.0599671 | − | 0.570549i | ||||
\(213\) | 3.98645 | − | 10.4862i | 0.273147 | − | 0.718501i | ||||
\(214\) | 1.16353 | − | 11.0703i | 0.0795376 | − | 0.756749i | ||||
\(215\) | 9.24207 | − | 3.88400i | 0.630304 | − | 0.264887i | ||||
\(216\) | −10.6699 | − | 10.4651i | −0.725994 | − | 0.712059i | ||||
\(217\) | 5.16487 | − | 15.8958i | 0.350614 | − | 1.07908i | ||||
\(218\) | −0.207863 | − | 0.360029i | −0.0140783 | − | 0.0243842i | ||||
\(219\) | 2.85133 | + | 10.5055i | 0.192675 | + | 0.709894i | ||||
\(220\) | 3.14682 | + | 1.48113i | 0.212158 | + | 0.0998580i | ||||
\(221\) | −21.5192 | − | 4.57405i | −1.44754 | − | 0.307684i | ||||
\(222\) | −1.75157 | + | 11.2949i | −0.117557 | + | 0.758067i | ||||
\(223\) | −1.63494 | + | 15.5554i | −0.109484 | + | 1.04167i | 0.792492 | + | 0.609883i | \(0.208783\pi\) |
−0.901976 | + | 0.431787i | \(0.857883\pi\) | |||||||
\(224\) | 16.9951 | 1.13554 | ||||||||
\(225\) | 0.534074 | − | 14.9905i | 0.0356049 | − | 0.999366i | ||||
\(226\) | −10.6841 | −0.710696 | ||||||||
\(227\) | 0.350039 | − | 3.33040i | 0.0232329 | − | 0.221046i | −0.976745 | − | 0.214404i | \(-0.931219\pi\) |
0.999978 | − | 0.00664221i | \(-0.00211430\pi\) | |||||||
\(228\) | −6.51898 | + | 2.52659i | −0.431730 | + | 0.167328i | ||||
\(229\) | −23.1383 | − | 4.91819i | −1.52902 | − | 0.325003i | −0.634816 | − | 0.772663i | \(-0.718924\pi\) |
−0.894204 | + | 0.447660i | \(0.852258\pi\) | |||||||
\(230\) | −11.3106 | + | 2.15653i | −0.745798 | + | 0.142197i | ||||
\(231\) | −6.74310 | − | 1.78349i | −0.443664 | − | 0.117345i | ||||
\(232\) | −9.46229 | − | 16.3892i | −0.621230 | − | 1.07600i | ||||
\(233\) | −6.81754 | + | 20.9822i | −0.446632 | + | 1.37459i | 0.434053 | + | 0.900888i | \(0.357083\pi\) |
−0.880684 | + | 0.473704i | \(0.842917\pi\) | |||||||
\(234\) | 2.90089 | + | 13.2269i | 0.189637 | + | 0.864669i | ||||
\(235\) | −9.70314 | − | 11.2433i | −0.632963 | − | 0.733431i | ||||
\(236\) | −0.436381 | + | 4.15189i | −0.0284060 | + | 0.270265i | ||||
\(237\) | 4.82576 | − | 0.780311i | 0.313467 | − | 0.0506867i | ||||
\(238\) | −1.27442 | − | 12.1253i | −0.0826082 | − | 0.785965i | ||||
\(239\) | −13.2172 | + | 5.88467i | −0.854949 | + | 0.380648i | −0.786935 | − | 0.617037i | \(-0.788333\pi\) |
−0.0680145 | + | 0.997684i | \(0.521666\pi\) | |||||||
\(240\) | 0.838592 | − | 0.304887i | 0.0541309 | − | 0.0196804i | ||||
\(241\) | 8.13902 | + | 3.62373i | 0.524281 | + | 0.233425i | 0.651772 | − | 0.758415i | \(-0.274026\pi\) |
−0.127491 | + | 0.991840i | \(0.540693\pi\) | |||||||
\(242\) | −2.58889 | + | 7.96779i | −0.166420 | + | 0.512189i | ||||
\(243\) | −15.1205 | − | 3.79091i | −0.969979 | − | 0.243187i | ||||
\(244\) | 4.48600 | − | 13.8065i | 0.287187 | − | 0.883870i | ||||
\(245\) | −4.26735 | − | 3.23971i | −0.272631 | − | 0.206978i | ||||
\(246\) | 1.94142 | + | 1.56178i | 0.123781 | + | 0.0995754i | ||||
\(247\) | 16.6633 | + | 3.54188i | 1.06026 | + | 0.225365i | ||||
\(248\) | −14.3271 | + | 6.37884i | −0.909773 | + | 0.405057i | ||||
\(249\) | −18.6490 | − | 9.42641i | −1.18183 | − | 0.597374i | ||||
\(250\) | 8.94923 | + | 4.68170i | 0.565999 | + | 0.296096i | ||||
\(251\) | 12.4010 | 0.782742 | 0.391371 | − | 0.920233i | \(-0.372001\pi\) | ||||
0.391371 | + | 0.920233i | \(0.372001\pi\) | |||||||
\(252\) | 9.39344 | − | 5.50451i | 0.591731 | − | 0.346752i | ||||
\(253\) | −2.31412 | − | 7.12212i | −0.145487 | − | 0.447764i | ||||
\(254\) | −10.5833 | + | 11.7539i | −0.664054 | + | 0.737507i | ||||
\(255\) | 7.46994 | + | 15.3294i | 0.467786 | + | 0.959962i | ||||
\(256\) | −11.0356 | − | 12.2563i | −0.689726 | − | 0.766018i | ||||
\(257\) | 15.6534 | − | 27.1124i | 0.976431 | − | 1.69123i | 0.301301 | − | 0.953529i | \(-0.402579\pi\) |
0.675130 | − | 0.737699i | \(-0.264088\pi\) | |||||||
\(258\) | 6.78170 | + | 1.79369i | 0.422210 | + | 0.111671i | ||||
\(259\) | −20.4563 | − | 9.10773i | −1.27109 | − | 0.565927i | ||||
\(260\) | 12.8782 | + | 3.02181i | 0.798673 | + | 0.187405i | ||||
\(261\) | −17.1578 | − | 9.75880i | −1.06204 | − | 0.604055i | ||||
\(262\) | 3.83522 | − | 2.78645i | 0.236940 | − | 0.172147i | ||||
\(263\) | 23.3849 | + | 10.4116i | 1.44197 | + | 0.642008i | 0.970769 | − | 0.240016i | \(-0.0771525\pi\) |
0.471205 | + | 0.882024i | \(0.343819\pi\) | |||||||
\(264\) | 2.99008 | + | 5.82181i | 0.184027 | + | 0.358308i | ||||
\(265\) | 15.4970 | − | 2.95472i | 0.951971 | − | 0.181507i | ||||
\(266\) | 0.986837 | + | 9.38912i | 0.0605068 | + | 0.575684i | ||||
\(267\) | 3.36033 | + | 12.3808i | 0.205649 | + | 0.757694i | ||||
\(268\) | 3.26387 | + | 5.65319i | 0.199373 | + | 0.345324i | ||||
\(269\) | 0.317149 | − | 0.976085i | 0.0193369 | − | 0.0595129i | −0.940922 | − | 0.338622i | \(-0.890039\pi\) |
0.960259 | + | 0.279109i | \(0.0900392\pi\) | |||||||
\(270\) | 6.69752 | − | 8.08151i | 0.407598 | − | 0.491825i | ||||
\(271\) | 6.14011 | + | 18.8973i | 0.372985 | + | 1.14793i | 0.944828 | + | 0.327567i | \(0.106229\pi\) |
−0.571843 | + | 0.820363i | \(0.693771\pi\) | |||||||
\(272\) | −0.678763 | + | 0.753843i | −0.0411560 | + | 0.0457084i | ||||
\(273\) | −26.4965 | − | 1.30282i | −1.60364 | − | 0.0788502i | ||||
\(274\) | 0.821301 | − | 1.42253i | 0.0496166 | − | 0.0859384i | ||||
\(275\) | −2.29080 | + | 6.15629i | −0.138140 | + | 0.371238i | ||||
\(276\) | 10.4323 | + | 5.27313i | 0.627948 | + | 0.317405i | ||||
\(277\) | −1.89213 | + | 18.0024i | −0.113687 | + | 1.08166i | 0.777769 | + | 0.628550i | \(0.216351\pi\) |
−0.891456 | + | 0.453108i | \(0.850315\pi\) | |||||||
\(278\) | −2.86669 | − | 8.82276i | −0.171933 | − | 0.529154i | ||||
\(279\) | −9.52918 | + | 13.2956i | −0.570497 | + | 0.795984i | ||||
\(280\) | 1.64785 | + | 19.6454i | 0.0984778 | + | 1.17404i | ||||
\(281\) | 25.1370 | − | 5.34304i | 1.49955 | − | 0.318739i | 0.616250 | − | 0.787551i | \(-0.288651\pi\) |
0.883298 | + | 0.468812i | \(0.155318\pi\) | |||||||
\(282\) | −0.577394 | − | 10.3760i | −0.0343833 | − | 0.617882i | ||||
\(283\) | 5.88858 | + | 6.53993i | 0.350040 | + | 0.388758i | 0.892293 | − | 0.451457i | \(-0.149095\pi\) |
−0.542253 | + | 0.840215i | \(0.682429\pi\) | |||||||
\(284\) | −0.801557 | − | 7.62631i | −0.0475637 | − | 0.452538i | ||||
\(285\) | −5.78430 | − | 11.8702i | −0.342632 | − | 0.703130i | ||||
\(286\) | 0.619842 | − | 5.89741i | 0.0366520 | − | 0.348721i | ||||
\(287\) | −3.94908 | + | 2.86917i | −0.233107 | + | 0.169362i | ||||
\(288\) | −15.8519 | − | 5.03761i | −0.934080 | − | 0.296844i | ||||
\(289\) | −1.93028 | − | 1.40243i | −0.113546 | − | 0.0824960i | ||||
\(290\) | 10.9143 | − | 7.58414i | 0.640910 | − | 0.445356i | ||||
\(291\) | −29.1064 | + | 4.70642i | −1.70625 | + | 0.275895i | ||||
\(292\) | 4.97888 | + | 5.52961i | 0.291367 | + | 0.323596i | ||||
\(293\) | −3.17339 | + | 5.49647i | −0.185391 | + | 0.321107i | −0.943708 | − | 0.330779i | \(-0.892689\pi\) |
0.758317 | + | 0.651886i | \(0.226022\pi\) | |||||||
\(294\) | −0.982019 | − | 3.61816i | −0.0572725 | − | 0.211015i | ||||
\(295\) | −7.88296 | − | 0.165851i | −0.458964 | − | 0.00965622i | ||||
\(296\) | 6.49279 | + | 19.9828i | 0.377386 | + | 1.16147i | ||||
\(297\) | 5.76084 | + | 3.66226i | 0.334278 | + | 0.212506i | ||||
\(298\) | −4.98210 | − | 3.61971i | −0.288605 | − | 0.209684i | ||||
\(299\) | −14.2411 | − | 24.6662i | −0.823582 | − | 1.42649i | ||||
\(300\) | −4.29661 | − | 9.30959i | −0.248065 | − | 0.537489i | ||||
\(301\) | −6.87138 | + | 11.9016i | −0.396060 | + | 0.685996i | ||||
\(302\) | −16.1813 | + | 7.20436i | −0.931127 | + | 0.414565i | ||||
\(303\) | 3.35865 | − | 21.6582i | 0.192949 | − | 1.24423i | ||||
\(304\) | 0.525596 | − | 0.583733i | 0.0301450 | − | 0.0334794i | ||||
\(305\) | 26.6927 | + | 6.26331i | 1.52842 | + | 0.358636i | ||||
\(306\) | −2.40542 | + | 11.6874i | −0.137509 | + | 0.668122i | ||||
\(307\) | −25.8730 | −1.47665 | −0.738325 | − | 0.674445i | \(-0.764383\pi\) | ||||
−0.738325 | + | 0.674445i | \(0.764383\pi\) | |||||||
\(308\) | −4.66356 | + | 0.991270i | −0.265731 | + | 0.0564828i | ||||
\(309\) | −20.3146 | − | 24.9214i | −1.15566 | − | 1.41773i | ||||
\(310\) | −5.30519 | − | 9.65220i | −0.301314 | − | 0.548208i | ||||
\(311\) | 3.06338 | − | 1.36391i | 0.173709 | − | 0.0773400i | −0.318040 | − | 0.948077i | \(-0.603025\pi\) |
0.491748 | + | 0.870737i | \(0.336358\pi\) | |||||||
\(312\) | 15.7276 | + | 19.2942i | 0.890400 | + | 1.09232i | ||||
\(313\) | −8.10590 | − | 3.60898i | −0.458173 | − | 0.203992i | 0.164654 | − | 0.986351i | \(-0.447349\pi\) |
−0.622827 | + | 0.782360i | \(0.714016\pi\) | |||||||
\(314\) | 11.1519 | + | 8.10232i | 0.629338 | + | 0.457241i | ||||
\(315\) | 11.8427 | + | 16.8100i | 0.667259 | + | 0.947134i | ||||
\(316\) | 2.70333 | − | 1.96408i | 0.152074 | − | 0.110488i | ||||
\(317\) | 31.2503 | − | 6.64245i | 1.75519 | − | 0.373077i | 0.785777 | − | 0.618509i | \(-0.212263\pi\) |
0.969414 | + | 0.245432i | \(0.0789298\pi\) | |||||||
\(318\) | 9.85210 | + | 4.97988i | 0.552478 | + | 0.279258i | ||||
\(319\) | 5.78389 | + | 6.42366i | 0.323836 | + | 0.359656i | ||||
\(320\) | 8.37268 | − | 8.91435i | 0.468047 | − | 0.498328i | ||||
\(321\) | −16.6295 | − | 13.3776i | −0.928170 | − | 0.746666i | ||||
\(322\) | 10.5618 | − | 11.7301i | 0.588587 | − | 0.653692i | ||||
\(323\) | 12.1445 | + | 8.82347i | 0.675736 | + | 0.490951i | ||||
\(324\) | −10.3932 | + | 2.34987i | −0.577397 | + | 0.130548i | ||||
\(325\) | −3.65418 | + | 24.7145i | −0.202697 | + | 1.37091i | ||||
\(326\) | −0.318393 | − | 0.551473i | −0.0176342 | − | 0.0305433i | ||||
\(327\) | −0.796129 | − | 0.0391453i | −0.0440260 | − | 0.00216474i | ||||
\(328\) | 4.48017 | + | 0.952290i | 0.247376 | + | 0.0525814i | ||||
\(329\) | 19.9140 | + | 4.23285i | 1.09789 | + | 0.233365i | ||||
\(330\) | −3.89880 | + | 2.43432i | −0.214622 | + | 0.134005i | ||||
\(331\) | 12.0676 | − | 2.56505i | 0.663297 | − | 0.140988i | 0.136052 | − | 0.990702i | \(-0.456558\pi\) |
0.527245 | + | 0.849713i | \(0.323225\pi\) | |||||||
\(332\) | −14.2835 | −0.783908 | ||||||||
\(333\) | 16.3805 | + | 14.5586i | 0.897648 | + | 0.797807i | ||||
\(334\) | 3.30052 | − | 2.39797i | 0.180596 | − | 0.131211i | ||||
\(335\) | −10.1243 | + | 7.03522i | −0.553152 | + | 0.384375i | ||||
\(336\) | −0.662886 | + | 1.02801i | −0.0361634 | + | 0.0560825i | ||||
\(337\) | 0.748779 | + | 7.12416i | 0.0407886 | + | 0.388078i | 0.995803 | + | 0.0915192i | \(0.0291723\pi\) |
−0.955015 | + | 0.296558i | \(0.904161\pi\) | |||||||
\(338\) | −1.12995 | − | 10.7507i | −0.0614611 | − | 0.584763i | ||||
\(339\) | −11.1014 | + | 17.2162i | −0.602948 | + | 0.935057i | ||||
\(340\) | 9.28392 | + | 7.04823i | 0.503491 | + | 0.382244i | ||||
\(341\) | 5.79521 | − | 4.21047i | 0.313828 | − | 0.228010i | ||||
\(342\) | 1.86262 | − | 9.05003i | 0.100719 | − | 0.489369i | ||||
\(343\) | −14.1124 | −0.761998 | ||||||||
\(344\) | 12.6134 | − | 2.68105i | 0.680067 | − | 0.144553i | ||||
\(345\) | −8.27741 | + | 20.4665i | −0.445641 | + | 1.10188i | ||||
\(346\) | 3.84876 | + | 0.818079i | 0.206911 | + | 0.0439802i | ||||
\(347\) | −0.310983 | − | 0.0661014i | −0.0166944 | − | 0.00354851i | 0.199557 | − | 0.979886i | \(-0.436050\pi\) |
−0.216251 | + | 0.976338i | \(0.569383\pi\) | |||||||
\(348\) | −13.4762 | − | 0.662620i | −0.722401 | − | 0.0355202i | ||||
\(349\) | −7.13603 | − | 12.3600i | −0.381983 | − | 0.661614i | 0.609363 | − | 0.792892i | \(-0.291425\pi\) |
−0.991346 | + | 0.131278i | \(0.958092\pi\) | |||||||
\(350\) | −13.6519 | + | 2.30645i | −0.729723 | + | 0.123285i | ||||
\(351\) | 24.3279 | + | 9.06912i | 1.29852 | + | 0.484074i | ||||
\(352\) | 5.89274 | + | 4.28133i | 0.314084 | + | 0.228196i | ||||
\(353\) | −9.97502 | + | 11.0784i | −0.530917 | + | 0.589643i | −0.947620 | − | 0.319400i | \(-0.896519\pi\) |
0.416703 | + | 0.909043i | \(0.363185\pi\) | |||||||
\(354\) | −4.29888 | − | 3.45824i | −0.228483 | − | 0.183803i | ||||
\(355\) | 14.2266 | − | 2.71250i | 0.755068 | − | 0.143965i | ||||
\(356\) | 5.86767 | + | 6.51670i | 0.310986 | + | 0.345385i | ||||
\(357\) | −20.8627 | − | 10.5453i | −1.10417 | − | 0.558118i | ||||
\(358\) | 0.328882 | − | 0.0699061i | 0.0173820 | − | 0.00369465i | ||||
\(359\) | 12.3016 | − | 8.93763i | 0.649253 | − | 0.471710i | −0.213763 | − | 0.976885i | \(-0.568572\pi\) |
0.863017 | + | 0.505175i | \(0.168572\pi\) | |||||||
\(360\) | 4.28620 | − | 18.8123i | 0.225902 | − | 0.991496i | ||||
\(361\) | 5.96733 | + | 4.33552i | 0.314070 | + | 0.228185i | ||||
\(362\) | 4.03820 | + | 1.79792i | 0.212243 | + | 0.0944968i | ||||
\(363\) | 10.1492 | + | 12.4507i | 0.532693 | + | 0.653494i | ||||
\(364\) | −16.5658 | + | 7.37557i | −0.868284 | + | 0.386585i | ||||
\(365\) | −9.62101 | + | 10.2434i | −0.503587 | + | 0.536166i | ||||
\(366\) | 12.1217 | + | 14.8706i | 0.633613 | + | 0.777301i | ||||
\(367\) | −8.24408 | + | 1.75233i | −0.430337 | + | 0.0914710i | −0.417988 | − | 0.908453i | \(-0.637264\pi\) |
−0.0123497 | + | 0.999924i | \(0.503931\pi\) | |||||||
\(368\) | −1.31328 | −0.0684595 | ||||||||
\(369\) | 4.53389 | − | 1.50560i | 0.236025 | − | 0.0783783i | ||||
\(370\) | −13.6035 | + | 5.71693i | −0.707215 | + | 0.297209i | ||||
\(371\) | −14.4710 | + | 16.0717i | −0.751299 | + | 0.834402i | ||||
\(372\) | −1.71347 | + | 11.0493i | −0.0888394 | + | 0.572879i | ||||
\(373\) | 29.5017 | − | 13.1350i | 1.52754 | − | 0.680104i | 0.540612 | − | 0.841272i | \(-0.318193\pi\) |
0.986927 | + | 0.161168i | \(0.0515260\pi\) | |||||||
\(374\) | 2.61266 | − | 4.52525i | 0.135097 | − | 0.233995i | ||||
\(375\) | 16.8428 | − | 9.55610i | 0.869760 | − | 0.493475i | ||||
\(376\) | −9.55160 | − | 16.5439i | −0.492586 | − | 0.853184i | ||||
\(377\) | 26.5972 | + | 19.3240i | 1.36983 | + | 0.995238i | ||||
\(378\) | −0.613774 | + | 14.3754i | −0.0315691 | + | 0.739391i | ||||
\(379\) | 5.98776 | + | 18.4284i | 0.307571 | + | 0.946605i | 0.978705 | + | 0.205270i | \(0.0658072\pi\) |
−0.671135 | + | 0.741335i | \(0.734193\pi\) | |||||||
\(380\) | −7.18894 | − | 5.45775i | −0.368785 | − | 0.279977i | ||||
\(381\) | 7.94342 | + | 29.2668i | 0.406954 | + | 1.49938i | ||||
\(382\) | −1.89562 | + | 3.28331i | −0.0969883 | + | 0.167989i | ||||
\(383\) | −17.6891 | − | 19.6458i | −0.903873 | − | 1.00385i | −0.999964 | − | 0.00847965i | \(-0.997301\pi\) |
0.0960915 | − | 0.995373i | \(-0.469366\pi\) | |||||||
\(384\) | −10.5120 | + | 1.69977i | −0.536440 | + | 0.0867408i | ||||
\(385\) | −2.60184 | − | 8.62057i | −0.132602 | − | 0.439345i | ||||
\(386\) | 2.15654 | + | 1.56682i | 0.109765 | + | 0.0797489i | ||||
\(387\) | 9.93695 | − | 9.06418i | 0.505123 | − | 0.460758i | ||||
\(388\) | −16.3050 | + | 11.8463i | −0.827762 | + | 0.601405i | ||||
\(389\) | −1.10391 | + | 10.5030i | −0.0559707 | + | 0.532525i | 0.930231 | + | 0.366975i | \(0.119607\pi\) |
−0.986201 | + | 0.165550i | \(0.947060\pi\) | |||||||
\(390\) | −12.5796 | + | 12.1394i | −0.636991 | + | 0.614701i | ||||
\(391\) | −2.62345 | − | 24.9604i | −0.132673 | − | 1.26230i | ||||
\(392\) | −4.61145 | − | 5.12154i | −0.232914 | − | 0.258677i | ||||
\(393\) | −0.505014 | − | 9.07531i | −0.0254746 | − | 0.457789i | ||||
\(394\) | 6.05529 | − | 1.28709i | 0.305061 | − | 0.0648427i | ||||
\(395\) | 4.12326 | + | 4.77774i | 0.207464 | + | 0.240394i | ||||
\(396\) | 4.64367 | + | 0.457761i | 0.233353 | + | 0.0230033i | ||||
\(397\) | −0.814060 | − | 2.50542i | −0.0408565 | − | 0.125743i | 0.928548 | − | 0.371213i | \(-0.121058\pi\) |
−0.969404 | + | 0.245469i | \(0.921058\pi\) | |||||||
\(398\) | −0.909069 | + | 8.64922i | −0.0455675 | + | 0.433546i | ||||
\(399\) | 16.1549 | + | 8.16571i | 0.808756 | + | 0.408797i | ||||
\(400\) | 0.902644 | + | 0.715697i | 0.0451322 | + | 0.0357849i | ||||
\(401\) | 3.74794 | − | 6.49163i | 0.187163 | − | 0.324177i | −0.757140 | − | 0.653253i | \(-0.773404\pi\) |
0.944303 | + | 0.329076i | \(0.106737\pi\) | |||||||
\(402\) | −8.61645 | − | 0.423667i | −0.429750 | − | 0.0211306i | ||||
\(403\) | 18.2302 | − | 20.2467i | 0.908113 | − | 1.00856i | ||||
\(404\) | −4.62951 | − | 14.2482i | −0.230327 | − | 0.708873i | ||||
\(405\) | −6.06330 | − | 19.1895i | −0.301288 | − | 0.953533i | ||||
\(406\) | −5.63011 | + | 17.3277i | −0.279417 | + | 0.859959i | ||||
\(407\) | −4.79846 | − | 8.31118i | −0.237851 | − | 0.411970i | ||||
\(408\) | 5.74549 | + | 21.1688i | 0.284444 | + | 1.04801i | ||||
\(409\) | −3.44852 | − | 32.8104i | −0.170518 | − | 1.62237i | −0.660629 | − | 0.750712i | \(-0.729710\pi\) |
0.490111 | − | 0.871660i | \(-0.336956\pi\) | |||||||
\(410\) | −0.403453 | + | 3.19129i | −0.0199251 | + | 0.157607i | ||||
\(411\) | −1.43887 | − | 2.80153i | −0.0709742 | − | 0.138190i | ||||
\(412\) | −20.0775 | − | 8.93908i | −0.989148 | − | 0.440397i | ||||
\(413\) | 8.74443 | − | 6.35320i | 0.430285 | − | 0.312620i | ||||
\(414\) | −13.3283 | + | 7.81032i | −0.655049 | + | 0.383856i | ||||
\(415\) | −2.25487 | − | 26.8822i | −0.110687 | − | 1.31960i | ||||
\(416\) | 25.3081 | + | 11.2679i | 1.24083 | + | 0.552454i | ||||
\(417\) | −17.1956 | − | 4.54806i | −0.842070 | − | 0.222719i | ||||
\(418\) | −2.02309 | + | 3.50410i | −0.0989527 | + | 0.171391i | ||||
\(419\) | 12.1266 | + | 13.4680i | 0.592424 | + | 0.657954i | 0.962574 | − | 0.271018i | \(-0.0873603\pi\) |
−0.370150 | + | 0.928972i | \(0.620694\pi\) | |||||||
\(420\) | 12.4080 | + | 6.60309i | 0.605451 | + | 0.322198i | ||||
\(421\) | 16.1076 | − | 17.8893i | 0.785036 | − | 0.871870i | −0.209333 | − | 0.977844i | \(-0.567129\pi\) |
0.994369 | + | 0.105974i | \(0.0337960\pi\) | |||||||
\(422\) | −1.73558 | − | 5.34155i | −0.0844865 | − | 0.260023i | ||||
\(423\) | −17.3197 | − | 9.85091i | −0.842113 | − | 0.478968i | ||||
\(424\) | 20.2928 | 0.985503 | ||||||||
\(425\) | −11.7995 | + | 18.5855i | −0.572361 | + | 0.901529i | ||||
\(426\) | 9.04445 | + | 4.57164i | 0.438205 | + | 0.221497i | ||||
\(427\) | −34.3360 | + | 15.2874i | −1.66163 | + | 0.739807i | ||||
\(428\) | −14.2699 | − | 3.03315i | −0.689760 | − | 0.146613i | ||||
\(429\) | −8.85895 | − | 7.12658i | −0.427714 | − | 0.344074i | ||||
\(430\) | 2.61673 | + | 8.66991i | 0.126190 | + | 0.418100i | ||||
\(431\) | −5.44510 | + | 16.7583i | −0.262281 | + | 0.807218i | 0.730026 | + | 0.683419i | \(0.239508\pi\) |
−0.992307 | + | 0.123799i | \(0.960492\pi\) | |||||||
\(432\) | 0.923010 | − | 0.762365i | 0.0444083 | − | 0.0366793i | ||||
\(433\) | 0.572909 | − | 1.76323i | 0.0275322 | − | 0.0847355i | −0.936346 | − | 0.351078i | \(-0.885815\pi\) |
0.963878 | + | 0.266342i | \(0.0858152\pi\) | |||||||
\(434\) | 13.7933 | + | 6.14115i | 0.662098 | + | 0.294785i | ||||
\(435\) | −0.880347 | − | 25.4675i | −0.0422094 | − | 1.22108i | ||||
\(436\) | −0.497746 | + | 0.221611i | −0.0238377 | + | 0.0106132i | ||||
\(437\) | 2.03145 | + | 19.3279i | 0.0971774 | + | 0.924581i | ||||
\(438\) | −9.70746 | + | 1.56967i | −0.463841 | + | 0.0750016i | ||||
\(439\) | 1.00546 | − | 9.56630i | 0.0479879 | − | 0.456574i | −0.943972 | − | 0.330025i | \(-0.892943\pi\) |
0.991960 | − | 0.126550i | \(-0.0403904\pi\) | |||||||
\(440\) | −4.37761 | + | 7.22680i | −0.208695 | + | 0.344524i | ||||
\(441\) | −6.85063 | − | 2.17708i | −0.326221 | − | 0.103671i | ||||
\(442\) | 6.14136 | − | 18.9011i | 0.292114 | − | 0.899036i | ||||
\(443\) | −18.6090 | − | 32.2317i | −0.884138 | − | 1.53137i | −0.846698 | − | 0.532073i | \(-0.821413\pi\) |
−0.0374398 | − | 0.999299i | \(-0.511920\pi\) | |||||||
\(444\) | 14.4821 | + | 3.83039i | 0.687292 | + | 0.181782i | ||||
\(445\) | −11.3385 | + | 12.0720i | −0.537495 | + | 0.572268i | ||||
\(446\) | −13.8208 | − | 2.93770i | −0.654433 | − | 0.139104i | ||||
\(447\) | −11.0095 | + | 4.26698i | −0.520729 | + | 0.201821i | ||||
\(448\) | −1.75243 | + | 16.6733i | −0.0827947 | + | 0.787739i | ||||
\(449\) | −27.8383 | −1.31377 | −0.656885 | − | 0.753991i | \(-0.728126\pi\) | ||||
−0.656885 | + | 0.753991i | \(0.728126\pi\) | |||||||
\(450\) | 13.4172 | + | 1.89532i | 0.632491 | + | 0.0893462i | ||||
\(451\) | −2.09206 | −0.0985111 | ||||||||
\(452\) | −1.46367 | + | 13.9259i | −0.0688453 | + | 0.655019i | ||||
\(453\) | −5.20433 | + | 33.5601i | −0.244521 | + | 1.57679i | ||||
\(454\) | 2.95901 | + | 0.628957i | 0.138873 | + | 0.0295184i | ||||
\(455\) | −16.4964 | − | 30.0134i | −0.773362 | − | 1.40705i | ||||
\(456\) | −4.44899 | − | 16.3919i | −0.208343 | − | 0.767620i | ||||
\(457\) | 4.49089 | + | 7.77846i | 0.210075 | + | 0.363861i | 0.951738 | − | 0.306912i | \(-0.0992958\pi\) |
−0.741663 | + | 0.670773i | \(0.765962\pi\) | |||||||
\(458\) | 6.60342 | − | 20.3232i | 0.308558 | − | 0.949643i | ||||
\(459\) | 16.3335 | + | 16.0200i | 0.762381 | + | 0.747748i | ||||
\(460\) | 1.26137 | + | 15.0379i | 0.0588119 | + | 0.701147i | ||||
\(461\) | 1.22076 | − | 11.6148i | 0.0568566 | − | 0.540954i | −0.928607 | − | 0.371066i | \(-0.878992\pi\) |
0.985463 | − | 0.169889i | \(-0.0543408\pi\) | |||||||
\(462\) | 2.23903 | − | 5.88966i | 0.104169 | − | 0.274012i | ||||
\(463\) | −2.84599 | − | 27.0778i | −0.132265 | − | 1.25841i | −0.836310 | − | 0.548257i | \(-0.815291\pi\) |
0.704045 | − | 0.710155i | \(-0.251375\pi\) | |||||||
\(464\) | 1.38482 | − | 0.616563i | 0.0642888 | − | 0.0286232i | ||||
\(465\) | −21.0658 | − | 1.48054i | −0.976905 | − | 0.0686583i | ||||
\(466\) | −18.2069 | − | 8.10622i | −0.843417 | − | 0.375514i | ||||
\(467\) | −1.51920 | + | 4.67562i | −0.0703002 | + | 0.216362i | −0.980034 | − | 0.198830i | \(-0.936286\pi\) |
0.909734 | + | 0.415192i | \(0.136286\pi\) | |||||||
\(468\) | 17.6377 | − | 1.96907i | 0.815301 | − | 0.0910201i | ||||
\(469\) | 5.22261 | − | 16.0736i | 0.241158 | − | 0.742208i | ||||
\(470\) | 11.0173 | − | 7.65573i | 0.508191 | − | 0.353132i | ||||
\(471\) | 24.6435 | − | 9.55118i | 1.13551 | − | 0.440095i | ||||
\(472\) | −9.92042 | − | 2.10865i | −0.456624 | − | 0.0970585i | ||||
\(473\) | −5.38071 | + | 2.39565i | −0.247405 | + | 0.110152i | ||||
\(474\) | 0.245359 | + | 4.40919i | 0.0112697 | + | 0.202521i | ||||
\(475\) | 9.13688 | − | 14.3916i | 0.419229 | − | 0.660330i | ||||
\(476\) | −15.9789 | −0.732394 | ||||||||
\(477\) | 18.2615 | − | 10.7011i | 0.836135 | − | 0.489971i | ||||
\(478\) | −4.03879 | − | 12.4301i | −0.184730 | − | 0.568541i | ||||
\(479\) | 23.2878 | − | 25.8637i | 1.06405 | − | 1.18174i | 0.0813171 | − | 0.996688i | \(-0.474087\pi\) |
0.982728 | − | 0.185054i | \(-0.0592460\pi\) | |||||||
\(480\) | −5.18749 | − | 20.8372i | −0.236775 | − | 0.951084i | ||||
\(481\) | −24.4238 | − | 27.1253i | −1.11363 | − | 1.23681i | ||||
\(482\) | −4.02413 | + | 6.97000i | −0.183294 | + | 0.317475i | ||||
\(483\) | −7.92731 | − | 29.2074i | −0.360705 | − | 1.32898i | ||||
\(484\) | 10.0307 | + | 4.46597i | 0.455942 | + | 0.202999i | ||||
\(485\) | −24.8693 | − | 28.8168i | −1.12926 | − | 1.30850i | ||||
\(486\) | 4.83357 | − | 13.2264i | 0.219255 | − | 0.599963i | ||||
\(487\) | 10.2778 | − | 7.46726i | 0.465732 | − | 0.338374i | −0.330044 | − | 0.943966i | \(-0.607064\pi\) |
0.795775 | + | 0.605592i | \(0.207064\pi\) | |||||||
\(488\) | 32.2182 | + | 14.3445i | 1.45845 | + | 0.649344i | ||||
\(489\) | −1.21947 | − | 0.0599606i | −0.0551462 | − | 0.00271151i | ||||
\(490\) | 3.31354 | − | 3.52791i | 0.149691 | − | 0.159375i | ||||
\(491\) | −1.18773 | − | 11.3005i | −0.0536013 | − | 0.509982i | −0.988078 | − | 0.153957i | \(-0.950798\pi\) |
0.934476 | − | 0.356025i | \(-0.115868\pi\) | |||||||
\(492\) | 2.30162 | − | 2.31654i | 0.103765 | − | 0.104438i | ||||
\(493\) | 14.4849 | + | 25.0885i | 0.652366 | + | 1.12993i | ||||
\(494\) | −4.75552 | + | 14.6360i | −0.213961 | + | 0.658504i | ||||
\(495\) | −0.128454 | + | 8.81188i | −0.00577358 | + | 0.396065i | ||||
\(496\) | −0.388194 | − | 1.19474i | −0.0174304 | − | 0.0536454i | ||||
\(497\) | −13.2847 | + | 14.7542i | −0.595902 | + | 0.661816i | ||||
\(498\) | 10.2297 | − | 15.8644i | 0.458406 | − | 0.710899i | ||||
\(499\) | −9.68467 | + | 16.7743i | −0.433545 | + | 0.750923i | −0.997176 | − | 0.0751046i | \(-0.976071\pi\) |
0.563630 | + | 0.826027i | \(0.309404\pi\) | |||||||
\(500\) | 7.32823 | − | 11.0233i | 0.327728 | − | 0.492975i | ||||
\(501\) | −0.434607 | − | 7.81005i | −0.0194168 | − | 0.348927i | ||||
\(502\) | −1.17098 | + | 11.1411i | −0.0522634 | + | 0.497253i | ||||
\(503\) | 5.93488 | + | 18.2657i | 0.264623 | + | 0.814427i | 0.991780 | + | 0.127955i | \(0.0408413\pi\) |
−0.727157 | + | 0.686471i | \(0.759159\pi\) | |||||||
\(504\) | 10.9139 | + | 24.0930i | 0.486144 | + | 1.07319i | ||||
\(505\) | 26.0850 | − | 10.9623i | 1.16077 | − | 0.487815i | ||||
\(506\) | 6.61709 | − | 1.40651i | 0.294166 | − | 0.0625268i | ||||
\(507\) | −18.4977 | − | 9.34991i | −0.821511 | − | 0.415244i | ||||
\(508\) | 13.8705 | + | 15.4047i | 0.615403 | + | 0.683474i | ||||
\(509\) | 1.50625 | + | 14.3310i | 0.0667632 | + | 0.635209i | 0.975826 | + | 0.218550i | \(0.0701326\pi\) |
−0.909063 | + | 0.416659i | \(0.863201\pi\) | |||||||
\(510\) | −14.4774 | + | 5.26356i | −0.641071 | + | 0.233074i | ||||
\(511\) | 2.01371 | − | 19.1592i | 0.0890814 | − | 0.847553i | ||||
\(512\) | 2.10561 | − | 1.52982i | 0.0930558 | − | 0.0676090i | ||||
\(513\) | −12.6477 | − | 12.4049i | −0.558410 | − | 0.547692i | ||||
\(514\) | 22.8800 | + | 16.6233i | 1.00919 | + | 0.733222i | ||||
\(515\) | 13.6543 | − | 39.1981i | 0.601679 | − | 1.72727i | ||||
\(516\) | 3.26700 | − | 8.59370i | 0.143822 | − | 0.378316i | ||||
\(517\) | 5.83849 | + | 6.48430i | 0.256776 | + | 0.285179i | ||||
\(518\) | 10.1141 | − | 17.5181i | 0.444388 | − | 0.769703i | ||||
\(519\) | 5.31734 | − | 5.35180i | 0.233405 | − | 0.234918i | ||||
\(520\) | −10.5712 | + | 30.3473i | −0.463577 | + | 1.33082i | ||||
\(521\) | 4.65920 | + | 14.3396i | 0.204123 | + | 0.628227i | 0.999748 | + | 0.0224375i | \(0.00714269\pi\) |
−0.795625 | + | 0.605790i | \(0.792857\pi\) | |||||||
\(522\) | 10.3875 | − | 14.4932i | 0.454651 | − | 0.634350i | ||||
\(523\) | 12.9615 | + | 9.41708i | 0.566767 | + | 0.411780i | 0.833929 | − | 0.551871i | \(-0.186086\pi\) |
−0.267162 | + | 0.963652i | \(0.586086\pi\) | |||||||
\(524\) | −3.10651 | − | 5.38064i | −0.135709 | − | 0.235054i | ||||
\(525\) | −10.4686 | + | 24.3950i | −0.456885 | + | 1.06468i | ||||
\(526\) | −11.5621 | + | 20.0261i | −0.504130 | + | 0.873178i | ||||
\(527\) | 21.9319 | − | 9.76473i | 0.955370 | − | 0.425358i | ||||
\(528\) | −0.488814 | + | 0.189452i | −0.0212729 | + | 0.00824483i | ||||
\(529\) | 6.35198 | − | 7.05459i | 0.276173 | − | 0.306721i | ||||
\(530\) | 1.19123 | + | 14.2016i | 0.0517436 | + | 0.616879i | ||||
\(531\) | −10.0394 | + | 3.33384i | −0.435671 | + | 0.144676i | ||||
\(532\) | 12.3732 | 0.536446 | ||||||||
\(533\) | −7.78301 | + | 1.65433i | −0.337119 | + | 0.0716569i | ||||
\(534\) | −11.4404 | + | 1.84987i | −0.495073 | + | 0.0800518i | ||||
\(535\) | 3.45583 | − | 27.3355i | 0.149409 | − | 1.18182i | ||||
\(536\) | −14.4873 | + | 6.45017i | −0.625756 | + | 0.278605i | ||||
\(537\) | 0.229084 | − | 0.602594i | 0.00988569 | − | 0.0260038i | ||||
\(538\) | 0.846977 | + | 0.377098i | 0.0365158 | + | 0.0162579i | ||||
\(539\) | 2.54664 | + | 1.85024i | 0.109692 | + | 0.0796956i | ||||
\(540\) | −9.61610 | − | 9.83683i | −0.413811 | − | 0.423310i | ||||
\(541\) | 12.8369 | − | 9.32652i | 0.551900 | − | 0.400979i | −0.276586 | − | 0.960989i | \(-0.589203\pi\) |
0.828485 | + | 0.560011i | \(0.189203\pi\) | |||||||
\(542\) | −17.5573 | + | 3.73192i | −0.754152 | + | 0.160300i | ||||
\(543\) | 7.09310 | − | 4.63895i | 0.304394 | − | 0.199076i | ||||
\(544\) | 16.3345 | + | 18.1413i | 0.700336 | + | 0.777802i | ||||
\(545\) | −0.495660 | − | 0.901800i | −0.0212318 | − | 0.0386288i | ||||
\(546\) | 3.67244 | − | 23.6817i | 0.157166 | − | 1.01348i | ||||
\(547\) | −10.5774 | + | 11.7474i | −0.452258 | + | 0.502283i | −0.925552 | − | 0.378621i | \(-0.876398\pi\) |
0.473294 | + | 0.880905i | \(0.343065\pi\) | |||||||
\(548\) | −1.74165 | − | 1.26538i | −0.0743996 | − | 0.0540545i | ||||
\(549\) | 36.5576 | − | 4.08128i | 1.56024 | − | 0.174185i | ||||
\(550\) | −5.31456 | − | 2.63939i | −0.226614 | − | 0.112544i | ||||
\(551\) | −11.2163 | − | 19.4271i | −0.477829 | − | 0.827624i | ||||
\(552\) | −15.3894 | + | 23.8660i | −0.655016 | + | 1.01580i | ||||
\(553\) | −8.46228 | − | 1.79871i | −0.359853 | − | 0.0764891i | ||||
\(554\) | −15.9948 | − | 3.39981i | −0.679556 | − | 0.144444i | ||||
\(555\) | −4.92275 | + | 27.8608i | −0.208959 | + | 1.18263i | ||||
\(556\) | −11.8925 | + | 2.52783i | −0.504355 | + | 0.107204i | ||||
\(557\) | 32.3933 | 1.37255 | 0.686273 | − | 0.727344i | \(-0.259245\pi\) | ||||
0.686273 | + | 0.727344i | \(0.259245\pi\) | |||||||
\(558\) | −11.0451 | − | 9.81656i | −0.467574 | − | 0.415568i | ||||
\(559\) | −18.1233 | + | 13.1673i | −0.766533 | + | 0.556919i | ||||
\(560\) | −1.57880 | − | 0.0332166i | −0.0667163 | − | 0.00140366i | ||||
\(561\) | −4.57722 | − | 8.91202i | −0.193250 | − | 0.376266i | ||||
\(562\) | 2.42663 | + | 23.0879i | 0.102361 | + | 0.973902i | ||||
\(563\) | 1.93555 | + | 18.4155i | 0.0815737 | + | 0.776122i | 0.956474 | + | 0.291819i | \(0.0942604\pi\) |
−0.874900 | + | 0.484304i | \(0.839073\pi\) | |||||||
\(564\) | −13.6034 | − | 0.668874i | −0.572807 | − | 0.0281647i | ||||
\(565\) | −26.4403 | − | 0.556283i | −1.11235 | − | 0.0234030i | ||||
\(566\) | −6.43157 | + | 4.67281i | −0.270339 | + | 0.196413i | ||||
\(567\) | 22.5266 | + | 15.9260i | 0.946027 | + | 0.668828i | ||||
\(568\) | 18.6292 | 0.781664 | ||||||||
\(569\) | 9.47432 | − | 2.01383i | 0.397184 | − | 0.0844241i | −0.00498942 | − | 0.999988i | \(-0.501588\pi\) |
0.402174 | + | 0.915563i | \(0.368255\pi\) | |||||||
\(570\) | 11.2105 | − | 4.07580i | 0.469556 | − | 0.170717i | ||||
\(571\) | 29.3236 | + | 6.23292i | 1.22715 | + | 0.260840i | 0.775497 | − | 0.631352i | \(-0.217500\pi\) |
0.451657 | + | 0.892191i | \(0.350833\pi\) | |||||||
\(572\) | −7.60190 | − | 1.61583i | −0.317851 | − | 0.0675614i | ||||
\(573\) | 3.32101 | + | 6.46614i | 0.138737 | + | 0.270127i | ||||
\(574\) | −2.20480 | − | 3.81882i | −0.0920264 | − | 0.159394i | ||||
\(575\) | −28.1030 | + | 4.74794i | −1.17198 | + | 0.198003i | ||||
\(576\) | 6.57676 | − | 15.0322i | 0.274032 | − | 0.626343i | ||||
\(577\) | −26.5530 | − | 19.2919i | −1.10542 | − | 0.803131i | −0.123480 | − | 0.992347i | \(-0.539405\pi\) |
−0.981936 | + | 0.189216i | \(0.939405\pi\) | |||||||
\(578\) | 1.44223 | − | 1.60176i | 0.0599888 | − | 0.0666243i | ||||
\(579\) | 4.76553 | − | 1.84700i | 0.198048 | − | 0.0767585i | ||||
\(580\) | −8.39014 | − | 15.2649i | −0.348382 | − | 0.633842i | ||||
\(581\) | 24.7450 | + | 27.4821i | 1.02660 | + | 1.14015i | ||||
\(582\) | −1.47987 | − | 26.5939i | −0.0613427 | − | 1.10235i | ||||
\(583\) | −9.06627 | + | 1.92709i | −0.375486 | + | 0.0798121i | ||||
\(584\) | −14.6242 | + | 10.6251i | −0.605155 | + | 0.439671i | ||||
\(585\) | 6.49026 | + | 32.8841i | 0.268339 | + | 1.35959i | ||||
\(586\) | −4.63843 | − | 3.37002i | −0.191612 | − | 0.139214i | ||||
\(587\) | −0.932458 | − | 0.415157i | −0.0384867 | − | 0.0171354i | 0.387403 | − | 0.921910i | \(-0.373372\pi\) |
−0.425890 | + | 0.904775i | \(0.640039\pi\) | |||||||
\(588\) | −4.85052 | + | 0.784315i | −0.200032 | + | 0.0323446i | ||||
\(589\) | −16.9829 | + | 7.56125i | −0.699766 | + | 0.311556i | ||||
\(590\) | 0.893364 | − | 7.06646i | 0.0367792 | − | 0.290922i | ||||
\(591\) | 4.21782 | − | 11.0948i | 0.173498 | − | 0.456378i | ||||
\(592\) | −1.64623 | + | 0.349918i | −0.0676598 | + | 0.0143815i | ||||
\(593\) | 4.83840 | 0.198689 | 0.0993446 | − | 0.995053i | \(-0.468325\pi\) | ||||
0.0993446 | + | 0.995053i | \(0.468325\pi\) | |||||||
\(594\) | −3.83419 | + | 4.82978i | −0.157319 | + | 0.198168i | ||||
\(595\) | −2.52253 | − | 30.0732i | −0.103413 | − | 1.23288i | ||||
\(596\) | −5.40053 | + | 5.99790i | −0.221214 | + | 0.245683i | ||||
\(597\) | 12.9927 | + | 10.4519i | 0.531754 | + | 0.427769i | ||||
\(598\) | 23.5051 | − | 10.4652i | 0.961196 | − | 0.427952i | ||||
\(599\) | −4.41032 | + | 7.63890i | −0.180201 | + | 0.312117i | −0.941949 | − | 0.335756i | \(-0.891008\pi\) |
0.761748 | + | 0.647874i | \(0.224341\pi\) | |||||||
\(600\) | 23.5836 | − | 8.01682i | 0.962798 | − | 0.327285i | ||||
\(601\) | 5.73110 | + | 9.92656i | 0.233777 | + | 0.404913i | 0.958916 | − | 0.283689i | \(-0.0915582\pi\) |
−0.725140 | + | 0.688602i | \(0.758225\pi\) | |||||||
\(602\) | −10.0437 | − | 7.29714i | −0.409349 | − | 0.297409i | ||||
\(603\) | −9.63572 | + | 13.4442i | −0.392397 | + | 0.547491i | ||||
\(604\) | 7.17358 | + | 22.0780i | 0.291889 | + | 0.898341i | ||||
\(605\) | −6.82168 | + | 19.5834i | −0.277341 | + | 0.796178i | ||||
\(606\) | 19.1408 | + | 5.06255i | 0.777541 | + | 0.205652i | ||||
\(607\) | −18.0174 | + | 31.2070i | −0.731302 | + | 1.26665i | 0.225025 | + | 0.974353i | \(0.427754\pi\) |
−0.956327 | + | 0.292299i | \(0.905580\pi\) | |||||||
\(608\) | −12.6485 | − | 14.0476i | −0.512965 | − | 0.569705i | ||||
\(609\) | 22.0716 | + | 27.0768i | 0.894385 | + | 1.09721i | ||||
\(610\) | −8.14753 | + | 23.3896i | −0.329884 | + | 0.947016i | ||||
\(611\) | 26.8483 | + | 19.5064i | 1.08617 | + | 0.789145i | ||||
\(612\) | 14.9040 | + | 4.73640i | 0.602460 | + | 0.191457i | ||||
\(613\) | −15.2951 | + | 11.1125i | −0.617761 | + | 0.448830i | −0.852139 | − | 0.523316i | \(-0.824695\pi\) |
0.234378 | + | 0.972146i | \(0.424695\pi\) | |||||||
\(614\) | 2.44310 | − | 23.2445i | 0.0985955 | − | 0.938073i | ||||
\(615\) | 4.72319 | + | 3.96607i | 0.190458 | + | 0.159927i | ||||
\(616\) | −1.21071 | − | 11.5192i | −0.0487811 | − | 0.464121i | ||||
\(617\) | −16.6953 | − | 18.5420i | −0.672126 | − | 0.746472i | 0.306556 | − | 0.951853i | \(-0.400823\pi\) |
−0.978682 | + | 0.205381i | \(0.934157\pi\) | |||||||
\(618\) | 24.3078 | − | 15.8976i | 0.977805 | − | 0.639493i | ||||
\(619\) | 13.0334 | − | 2.77034i | 0.523857 | − | 0.111349i | 0.0616097 | − | 0.998100i | \(-0.480377\pi\) |
0.462247 | + | 0.886751i | \(0.347043\pi\) | |||||||
\(620\) | −13.3077 | + | 5.59259i | −0.534450 | + | 0.224604i | ||||
\(621\) | −1.26348 | + | 29.5924i | −0.0507018 | + | 1.18750i | ||||
\(622\) | 0.936081 | + | 2.88096i | 0.0375334 | + | 0.115516i | ||||
\(623\) | 2.37318 | − | 22.5793i | 0.0950796 | − | 0.904622i | ||||
\(624\) | −1.66870 | + | 1.09135i | −0.0668017 | + | 0.0436889i | ||||
\(625\) | 21.9032 | + | 12.0519i | 0.876129 | + | 0.482077i | ||||
\(626\) | 4.00776 | − | 6.94164i | 0.160182 | − | 0.277444i | ||||
\(627\) | 3.54434 | + | 6.90096i | 0.141547 | + | 0.275598i | ||||
\(628\) | 12.0885 | − | 13.4256i | 0.482384 | − | 0.535742i | ||||
\(629\) | −9.93916 | − | 30.5896i | −0.396300 | − | 1.21969i | ||||
\(630\) | −16.2205 | + | 9.05227i | −0.646240 | + | 0.360651i | ||||
\(631\) | 12.8766 | − | 39.6300i | 0.512608 | − | 1.57764i | −0.274986 | − | 0.961448i | \(-0.588673\pi\) |
0.787593 | − | 0.616195i | \(-0.211327\pi\) | |||||||
\(632\) | 4.05887 | + | 7.03017i | 0.161453 | + | 0.279645i | ||||
\(633\) | −10.4107 | − | 2.75352i | −0.413787 | − | 0.109443i | ||||
\(634\) | 3.01678 | + | 28.7028i | 0.119812 | + | 1.13993i | ||||
\(635\) | −26.8028 | + | 28.5368i | −1.06364 | + | 1.13245i | ||||
\(636\) | 7.84058 | − | 12.1592i | 0.310899 | − | 0.482145i | ||||
\(637\) | 10.9373 | + | 4.86960i | 0.433351 | + | 0.192940i | ||||
\(638\) | −6.31724 | + | 4.58974i | −0.250102 | + | 0.181710i | ||||
\(639\) | 16.7644 | − | 9.82389i | 0.663191 | − | 0.388627i | ||||
\(640\) | −8.98178 | − | 10.4074i | −0.355036 | − | 0.411390i | ||||
\(641\) | −12.1065 | − | 5.39016i | −0.478178 | − | 0.212899i | 0.153471 | − | 0.988153i | \(-0.450955\pi\) |
−0.631649 | + | 0.775255i | \(0.717622\pi\) | |||||||
\(642\) | 13.5889 | − | 13.6769i | 0.536310 | − | 0.539785i | ||||
\(643\) | −18.9481 | + | 32.8190i | −0.747239 | + | 1.29426i | 0.201902 | + | 0.979406i | \(0.435288\pi\) |
−0.949141 | + | 0.314851i | \(0.898046\pi\) | |||||||
\(644\) | −13.8423 | − | 15.3735i | −0.545465 | − | 0.605800i | ||||
\(645\) | 16.6895 | + | 4.79202i | 0.657150 | + | 0.188686i | ||||
\(646\) | −9.07386 | + | 10.0775i | −0.357006 | + | 0.396495i | ||||
\(647\) | 2.22129 | + | 6.83642i | 0.0873278 | + | 0.268767i | 0.985178 | − | 0.171533i | \(-0.0548720\pi\) |
−0.897851 | + | 0.440300i | \(0.854872\pi\) | |||||||
\(648\) | −3.03821 | − | 25.7073i | −0.119352 | − | 1.00988i | ||||
\(649\) | 4.63243 | 0.181839 | ||||||||
\(650\) | −21.8587 | − | 5.61666i | −0.857369 | − | 0.220303i | ||||
\(651\) | 24.2278 | − | 15.8452i | 0.949563 | − | 0.621023i | ||||
\(652\) | −0.762421 | + | 0.339452i | −0.0298587 | + | 0.0132940i | ||||
\(653\) | 38.6307 | + | 8.21121i | 1.51174 | + | 0.321330i | 0.887831 | − | 0.460170i | \(-0.152211\pi\) |
0.623906 | + | 0.781499i | \(0.285545\pi\) | |||||||
\(654\) | 0.110344 | − | 0.711553i | 0.00431480 | − | 0.0278239i | ||||
\(655\) | 9.63623 | − | 6.69603i | 0.376518 | − | 0.261636i | ||||
\(656\) | −0.113373 | + | 0.348927i | −0.00442648 | + | 0.0136233i | ||||
\(657\) | −7.55732 | + | 17.2735i | −0.294839 | + | 0.673902i | ||||
\(658\) | −5.68325 | + | 17.4912i | −0.221556 | + | 0.681879i | ||||
\(659\) | −6.34938 | − | 2.82693i | −0.247337 | − | 0.110121i | 0.279324 | − | 0.960197i | \(-0.409890\pi\) |
−0.526661 | + | 0.850075i | \(0.676556\pi\) | |||||||
\(660\) | 2.63884 | + | 5.41527i | 0.102717 | + | 0.210789i | ||||
\(661\) | −29.7431 | + | 13.2425i | −1.15687 | + | 0.515073i | −0.893253 | − | 0.449554i | \(-0.851583\pi\) |
−0.263619 | + | 0.964627i | \(0.584916\pi\) | |||||||
\(662\) | 1.16496 | + | 11.0839i | 0.0452776 | + | 0.430788i | ||||
\(663\) | −24.0758 | − | 29.5356i | −0.935027 | − | 1.14707i | ||||
\(664\) | 3.62713 | − | 34.5098i | 0.140760 | − | 1.33924i | ||||
\(665\) | 1.95330 | + | 23.2870i | 0.0757458 | + | 0.903030i | ||||
\(666\) | −14.6264 | + | 13.3417i | −0.566760 | + | 0.516981i | ||||
\(667\) | −11.5898 | + | 35.6698i | −0.448760 | + | 1.38114i | ||||
\(668\) | −2.67341 | − | 4.63048i | −0.103437 | − | 0.179159i | ||||
\(669\) | −19.0944 | + | 19.2182i | −0.738233 | + | 0.743017i | ||||
\(670\) | −5.36450 | − | 9.76012i | −0.207249 | − | 0.377066i | ||||
\(671\) | −15.7565 | − | 3.34914i | −0.608272 | − | 0.129292i | ||||
\(672\) | 22.9361 | + | 18.4510i | 0.884780 | + | 0.711762i | ||||
\(673\) | 0.797260 | − | 7.58542i | 0.0307321 | − | 0.292397i | −0.968351 | − | 0.249591i | \(-0.919704\pi\) |
0.999083 | − | 0.0428054i | \(-0.0136296\pi\) | |||||||
\(674\) | −6.47112 | −0.249258 | ||||||||
\(675\) | 16.9954 | − | 19.6509i | 0.654152 | − | 0.756363i | ||||
\(676\) | −14.1676 | −0.544906 | ||||||||
\(677\) | 0.602100 | − | 5.72860i | 0.0231406 | − | 0.220168i | −0.976840 | − | 0.213970i | \(-0.931361\pi\) |
0.999981 | − | 0.00619777i | \(-0.00197282\pi\) | |||||||
\(678\) | −14.4189 | − | 11.5993i | −0.553756 | − | 0.445469i | ||||
\(679\) | 51.0400 | + | 10.8489i | 1.95874 | + | 0.416342i | ||||
\(680\) | −19.3865 | + | 20.6407i | −0.743439 | + | 0.791536i | ||||
\(681\) | 4.08809 | − | 4.11458i | 0.156656 | − | 0.157671i | ||||
\(682\) | 3.23550 | + | 5.60406i | 0.123894 | + | 0.214590i | ||||
\(683\) | 7.75429 | − | 23.8652i | 0.296709 | − | 0.913178i | −0.685932 | − | 0.727665i | \(-0.740605\pi\) |
0.982642 | − | 0.185513i | \(-0.0593946\pi\) | |||||||
\(684\) | −11.5408 | − | 3.66760i | −0.441275 | − | 0.140234i | ||||
\(685\) | 2.10657 | − | 3.47763i | 0.0804878 | − | 0.132874i | ||||
\(686\) | 1.33259 | − | 12.6787i | 0.0508784 | − | 0.484076i | ||||
\(687\) | −25.8872 | − | 31.7578i | −0.987659 | − | 1.21164i | ||||
\(688\) | 0.107969 | + | 1.02726i | 0.00411628 | + | 0.0391638i | ||||
\(689\) | −32.2050 | + | 14.3386i | −1.22691 | + | 0.546257i | ||||
\(690\) | −17.6057 | − | 9.36909i | −0.670237 | − | 0.356675i | ||||
\(691\) | 31.0761 | + | 13.8360i | 1.18219 | + | 0.526345i | 0.901216 | − | 0.433370i | \(-0.142676\pi\) |
0.280974 | + | 0.959715i | \(0.409342\pi\) | |||||||
\(692\) | 1.59356 | − | 4.90449i | 0.0605782 | − | 0.186441i | ||||
\(693\) | −7.16403 | − | 9.72767i | −0.272139 | − | 0.369523i | ||||
\(694\) | 0.0887512 | − | 0.273148i | 0.00336895 | − | 0.0103686i | ||||
\(695\) | −6.63493 | − | 21.9833i | −0.251677 | − | 0.833873i | ||||
\(696\) | 5.02307 | − | 32.3912i | 0.190399 | − | 1.22778i | ||||
\(697\) | −6.85824 | − | 1.45776i | −0.259775 | − | 0.0552168i | ||||
\(698\) | 11.7781 | − | 5.24397i | 0.445809 | − | 0.198487i | ||||
\(699\) | −31.9803 | + | 20.9154i | −1.20961 | + | 0.791095i | ||||
\(700\) | 1.13604 | + | 18.1101i | 0.0429384 | + | 0.684499i | ||||
\(701\) | −43.0578 | −1.62627 | −0.813135 | − | 0.582076i | \(-0.802241\pi\) | ||||
−0.813135 | + | 0.582076i | \(0.802241\pi\) | |||||||
\(702\) | −10.4450 | + | 21.0000i | −0.394220 | + | 0.792594i | ||||
\(703\) | 7.69632 | + | 23.6868i | 0.290272 | + | 0.893366i | ||||
\(704\) | −4.80787 | + | 5.33968i | −0.181204 | + | 0.201247i | ||||
\(705\) | −0.888657 | − | 25.7079i | −0.0334688 | − | 0.968217i | ||||
\(706\) | −9.01102 | − | 10.0077i | −0.339134 | − | 0.376647i | ||||
\(707\) | −19.3939 | + | 33.5912i | −0.729383 | + | 1.26333i | ||||
\(708\) | −5.09647 | + | 5.12950i | −0.191537 | + | 0.192778i | ||||
\(709\) | 3.13740 | + | 1.39686i | 0.117828 | + | 0.0524602i | 0.464804 | − | 0.885414i | \(-0.346125\pi\) |
−0.346976 | + | 0.937874i | \(0.612792\pi\) | |||||||
\(710\) | 1.09357 | + | 13.0374i | 0.0410410 | + | 0.489285i | ||||
\(711\) | 7.35985 | + | 4.18606i | 0.276016 | + | 0.156989i | ||||
\(712\) | −17.2348 | + | 12.5218i | −0.645902 | + | 0.469275i | ||||
\(713\) | 28.3941 | + | 12.6419i | 1.06337 | + | 0.473441i | ||||
\(714\) | 11.4440 | − | 17.7475i | 0.428282 | − | 0.664183i | ||||
\(715\) | 1.84100 | − | 14.5622i | 0.0688496 | − | 0.544597i | ||||
\(716\) | −0.0460619 | − | 0.438250i | −0.00172141 | − | 0.0163782i | ||||
\(717\) | −24.2263 | − | 6.40762i | −0.904747 | − | 0.239297i | ||||
\(718\) | 6.86806 | + | 11.8958i | 0.256314 | + | 0.443948i | ||||
\(719\) | −3.21496 | + | 9.89464i | −0.119898 | + | 0.369008i | −0.992937 | − | 0.118642i | \(-0.962146\pi\) |
0.873039 | + | 0.487650i | \(0.162146\pi\) | |||||||
\(720\) | 1.46274 | + | 0.498960i | 0.0545132 | + | 0.0185952i | ||||
\(721\) | 17.5835 | + | 54.1163i | 0.654842 | + | 2.01540i | ||||
\(722\) | −4.45855 | + | 4.95172i | −0.165930 | + | 0.184284i | ||||
\(723\) | 7.05004 | + | 13.7267i | 0.262194 | + | 0.510501i | ||||
\(724\) | 2.89667 | − | 5.01718i | 0.107654 | − | 0.186462i | ||||
\(725\) | 27.4049 | − | 18.2005i | 1.01779 | − | 0.675949i | ||||
\(726\) | −12.1442 | + | 7.94243i | −0.450714 | + | 0.294771i | ||||
\(727\) | 2.55736 | − | 24.3317i | 0.0948472 | − | 0.902411i | −0.838854 | − | 0.544357i | \(-0.816774\pi\) |
0.933701 | − | 0.358054i | \(-0.116560\pi\) | |||||||
\(728\) | −13.6132 | − | 41.8970i | −0.504538 | − | 1.55281i | ||||
\(729\) | −16.2905 | − | 21.5318i | −0.603352 | − | 0.797475i | ||||
\(730\) | −8.29433 | − | 9.61086i | −0.306987 | − | 0.355714i | ||||
\(731\) | −19.3085 | + | 4.10415i | −0.714151 | + | 0.151798i | ||||
\(732\) | 21.0433 | − | 13.7625i | 0.777785 | − | 0.508678i | ||||
\(733\) | −16.0105 | − | 17.7815i | −0.591362 | − | 0.656774i | 0.370972 | − | 0.928644i | \(-0.379025\pi\) |
−0.962334 | + | 0.271870i | \(0.912358\pi\) | |||||||
\(734\) | −0.795852 | − | 7.57203i | −0.0293754 | − | 0.279489i | ||||
\(735\) | −2.24185 | − | 9.00512i | −0.0826920 | − | 0.332159i | ||||
\(736\) | −3.30354 | + | 31.4311i | −0.121770 | + | 1.15857i | ||||
\(737\) | 5.86001 | − | 4.25755i | 0.215856 | − | 0.156829i | ||||
\(738\) | 0.924524 | + | 4.21546i | 0.0340322 | + | 0.155173i | ||||
\(739\) | 34.3422 | + | 24.9510i | 1.26330 | + | 0.917839i | 0.998915 | − | 0.0465793i | \(-0.0148320\pi\) |
0.264382 | + | 0.964418i | \(0.414832\pi\) | |||||||
\(740\) | 5.58795 | + | 18.5144i | 0.205417 | + | 0.680601i | ||||
\(741\) | 18.6429 | + | 22.8707i | 0.684865 | + | 0.840175i | ||||
\(742\) | −13.0725 | − | 14.5185i | −0.479908 | − | 0.532992i | ||||
\(743\) | −6.21697 | + | 10.7681i | −0.228079 | + | 0.395044i | −0.957239 | − | 0.289300i | \(-0.906578\pi\) |
0.729160 | + | 0.684343i | \(0.239911\pi\) | |||||||
\(744\) | −26.2607 | − | 6.94571i | −0.962764 | − | 0.254642i | ||||
\(745\) | −12.1409 | − | 9.21722i | −0.444809 | − | 0.337693i | ||||
\(746\) | 9.01486 | + | 27.7449i | 0.330058 | + | 1.01581i | ||||
\(747\) | −14.9343 | − | 32.9681i | −0.546417 | − | 1.20624i | ||||
\(748\) | −5.54040 | − | 4.02533i | −0.202577 | − | 0.147181i | ||||
\(749\) | 18.8855 | + | 32.7106i | 0.690060 | + | 1.19522i | ||||
\(750\) | 6.99488 | + | 16.0341i | 0.255417 | + | 0.585483i | ||||
\(751\) | −21.2022 | + | 36.7234i | −0.773681 | + | 1.34005i | 0.161852 | + | 0.986815i | \(0.448253\pi\) |
−0.935533 | + | 0.353240i | \(0.885080\pi\) | |||||||
\(752\) | 1.39789 | − | 0.622383i | 0.0509760 | − | 0.0226960i | ||||
\(753\) | 16.7360 | + | 13.4632i | 0.609892 | + | 0.490628i | ||||
\(754\) | −19.8724 | + | 22.0705i | −0.723709 | + | 0.803761i | ||||
\(755\) | −40.4195 | + | 16.9864i | −1.47102 | + | 0.618198i | ||||
\(756\) | 18.6531 | + | 2.76937i | 0.678408 | + | 0.100721i | ||||
\(757\) | 28.4481 | 1.03397 | 0.516983 | − | 0.855996i | \(-0.327055\pi\) | ||||
0.516983 | + | 0.855996i | \(0.327055\pi\) | |||||||
\(758\) | −17.1217 | + | 3.63933i | −0.621888 | + | 0.132186i | ||||
\(759\) | 4.60915 | − | 12.1241i | 0.167301 | − | 0.440078i | ||||
\(760\) | 15.0118 | − | 15.9830i | 0.544536 | − | 0.579765i | ||||
\(761\) | 25.0079 | − | 11.1342i | 0.906535 | − | 0.403615i | 0.100127 | − | 0.994975i | \(-0.468075\pi\) |
0.806408 | + | 0.591359i | \(0.201409\pi\) | |||||||
\(762\) | −27.0437 | + | 4.37288i | −0.979689 | + | 0.158413i | ||||
\(763\) | 1.28870 | + | 0.573764i | 0.0466539 | + | 0.0207717i | ||||
\(764\) | 4.01985 | + | 2.92059i | 0.145433 | + | 0.105663i | ||||
\(765\) | −6.56130 | + | 28.7979i | −0.237224 | + | 1.04119i | ||||
\(766\) | 19.3203 | − | 14.0370i | 0.698070 | − | 0.507178i | ||||
\(767\) | 17.2339 | − | 3.66317i | 0.622279 | − | 0.132269i | ||||
\(768\) | −1.58715 | − | 28.5216i | −0.0572712 | − | 1.02919i | ||||
\(769\) | 15.6273 | + | 17.3558i | 0.563533 | + | 0.625867i | 0.955812 | − | 0.293979i | \(-0.0949797\pi\) |
−0.392279 | + | 0.919846i | \(0.628313\pi\) | |||||||
\(770\) | 7.99048 | − | 1.52350i | 0.287957 | − | 0.0549033i | ||||
\(771\) | 50.5603 | − | 19.5959i | 1.82088 | − | 0.705728i | ||||
\(772\) | 2.33766 | − | 2.59623i | 0.0841342 | − | 0.0934405i | ||||
\(773\) | 1.17568 | + | 0.854182i | 0.0422863 | + | 0.0307228i | 0.608728 | − | 0.793379i | \(-0.291680\pi\) |
−0.566441 | + | 0.824102i | \(0.691680\pi\) | |||||||
\(774\) | 7.20503 | + | 9.78335i | 0.258980 | + | 0.351655i | ||||
\(775\) | −12.6264 | − | 24.1629i | −0.453553 | − | 0.867956i | ||||
\(776\) | −24.4810 | − | 42.4023i | −0.878815 | − | 1.52215i | ||||
\(777\) | −17.7193 | − | 34.5002i | −0.635676 | − | 1.23769i | ||||
\(778\) | −9.33179 | − | 1.98353i | −0.334561 | − | 0.0711131i | ||||
\(779\) | 5.31064 | + | 1.12881i | 0.190273 | + | 0.0404438i | ||||
\(780\) | 14.0994 | + | 18.0595i | 0.504839 | + | 0.646635i | ||||
\(781\) | −8.32304 | + | 1.76912i | −0.297822 | + | 0.0633039i | ||||
\(782\) | 22.6724 | 0.810764 | ||||||||
\(783\) | −12.5608 | − | 31.7977i | −0.448887 | − | 1.13636i | ||||
\(784\) | 0.446604 | − | 0.324477i | 0.0159501 | − | 0.0115885i | ||||
\(785\) | 27.1761 | + | 20.6317i | 0.969957 | + | 0.736379i | ||||
\(786\) | 8.20103 | + | 0.403241i | 0.292521 | + | 0.0143831i | ||||
\(787\) | 0.757863 | + | 7.21059i | 0.0270149 | + | 0.257030i | 0.999691 | + | 0.0248628i | \(0.00791488\pi\) |
−0.972676 | + | 0.232167i | \(0.925418\pi\) | |||||||
\(788\) | −0.848078 | − | 8.06893i | −0.0302115 | − | 0.287444i | ||||
\(789\) | 20.2560 | + | 39.4393i | 0.721134 | + | 1.40408i | ||||
\(790\) | −4.68171 | + | 3.25323i | −0.166568 | + | 0.115745i | ||||
\(791\) | 29.3298 | − | 21.3093i | 1.04285 | − | 0.757673i | ||||
\(792\) | −2.28519 | + | 11.1032i | −0.0812006 | + | 0.394533i | ||||
\(793\) | −61.2666 | −2.17564 | ||||||||
\(794\) | 2.32776 | − | 0.494781i | 0.0826092 | − | 0.0175591i | ||||
\(795\) | 24.1221 | + | 12.8369i | 0.855522 | + | 0.455276i | ||||
\(796\) | 11.1491 | + | 2.36980i | 0.395168 | + | 0.0839955i | ||||
\(797\) | 4.18917 | + | 0.890435i | 0.148388 | + | 0.0315408i | 0.281507 | − | 0.959559i | \(-0.409166\pi\) |
−0.133119 | + | 0.991100i | \(0.542499\pi\) | |||||||
\(798\) | −8.86161 | + | 13.7426i | −0.313697 | + | 0.486484i | ||||
\(799\) | 14.6216 | + | 25.3253i | 0.517275 | + | 0.895946i | ||||
\(800\) | 19.3996 | − | 19.8029i | 0.685879 | − | 0.700138i | ||||
\(801\) | −8.90639 | + | 20.3570i | −0.314692 | + | 0.719278i | ||||
\(802\) | 5.47824 | + | 3.98017i | 0.193443 | + | 0.140545i | ||||
\(803\) | 5.52470 | − | 6.13581i | 0.194963 | − | 0.216528i | ||||
\(804\) | −1.73263 | + | 11.1728i | −0.0611052 | + | 0.394036i | ||||
\(805\) | 26.7484 | − | 28.4789i | 0.942759 | − | 1.00375i | ||||
\(806\) | 16.4684 | + | 18.2900i | 0.580076 | + | 0.644240i | ||||
\(807\) | 1.48771 | − | 0.972978i | 0.0523700 | − | 0.0342504i | ||||
\(808\) | 35.6001 | − | 7.56704i | 1.25241 | − | 0.266208i | ||||
\(809\) | 20.0966 | − | 14.6011i | 0.706560 | − | 0.513346i | −0.175502 | − | 0.984479i | \(-0.556155\pi\) |
0.882062 | + | 0.471133i | \(0.156155\pi\) | |||||||
\(810\) | 17.8126 | − | 3.63532i | 0.625869 | − | 0.127732i | ||||
\(811\) | −18.6705 | − | 13.5649i | −0.655610 | − | 0.476329i | 0.209567 | − | 0.977794i | \(-0.432794\pi\) |
−0.865178 | + | 0.501465i | \(0.832794\pi\) | |||||||
\(812\) | 21.8140 | + | 9.71222i | 0.765521 | + | 0.340832i | ||||
\(813\) | −12.2296 | + | 32.1693i | −0.428910 | + | 1.12823i | ||||
\(814\) | 7.91995 | − | 3.52619i | 0.277594 | − | 0.123593i | ||||
\(815\) | −0.759225 | − | 1.38133i | −0.0265945 | − | 0.0483858i | ||||
\(816\) | −1.73446 | + | 0.280456i | −0.0607181 | + | 0.00981794i | ||||
\(817\) | 14.9514 | − | 3.17802i | 0.523084 | − | 0.111185i | ||||
\(818\) | 29.8029 | 1.04203 | ||||||||
\(819\) | −34.3444 | − | 30.5244i | −1.20009 | − | 1.06661i | ||||
\(820\) | 4.10433 | + | 0.963062i | 0.143330 | + | 0.0336316i | ||||
\(821\) | −26.0440 | + | 28.9248i | −0.908943 | + | 1.00948i | 0.0909640 | + | 0.995854i | \(0.471005\pi\) |
−0.999907 | + | 0.0136294i | \(0.995661\pi\) | |||||||
\(822\) | 2.65279 | − | 1.02816i | 0.0925268 | − | 0.0358610i | ||||
\(823\) | −29.9969 | + | 13.3555i | −1.04563 | + | 0.465543i | −0.856358 | − | 0.516382i | \(-0.827278\pi\) |
−0.189268 | + | 0.981925i | \(0.560612\pi\) | |||||||
\(824\) | 26.6959 | − | 46.2386i | 0.929994 | − | 1.61080i | ||||
\(825\) | −9.77524 | + | 5.82131i | −0.340330 | + | 0.202672i | ||||
\(826\) | 4.88207 | + | 8.45599i | 0.169869 | + | 0.294221i | ||||
\(827\) | 3.02903 | + | 2.20072i | 0.105330 | + | 0.0765264i | 0.639203 | − | 0.769038i | \(-0.279264\pi\) |
−0.533874 | + | 0.845564i | \(0.679264\pi\) | |||||||
\(828\) | 8.35423 | + | 18.4424i | 0.290330 | + | 0.640917i | ||||
\(829\) | −8.58235 | − | 26.4138i | −0.298077 | − | 0.917388i | −0.982170 | − | 0.187993i | \(-0.939802\pi\) |
0.684093 | − | 0.729395i | \(-0.260198\pi\) | |||||||
\(830\) | 24.3642 | + | 0.512603i | 0.845693 | + | 0.0177927i | ||||
\(831\) | −22.0980 | + | 22.2413i | −0.766573 | + | 0.771541i | ||||
\(832\) | −13.6641 | + | 23.6670i | −0.473718 | + | 0.820504i | ||||
\(833\) | 7.05921 | + | 7.84005i | 0.244587 | + | 0.271642i | ||||
\(834\) | 5.70974 | − | 15.0192i | 0.197712 | − | 0.520072i | ||||
\(835\) | 8.29277 | − | 5.76249i | 0.286983 | − | 0.199419i | ||||
\(836\) | 4.29017 | + | 3.11699i | 0.148379 | + | 0.107803i | ||||
\(837\) | −27.2948 | + | 7.59782i | −0.943445 | + | 0.262619i | ||||
\(838\) | −13.2448 | + | 9.62294i | −0.457535 | + | 0.332419i | ||||
\(839\) | 2.25286 | − | 21.4346i | 0.0777774 | − | 0.740003i | −0.884243 | − | 0.467027i | \(-0.845325\pi\) |
0.962021 | − | 0.272976i | \(-0.0880081\pi\) | |||||||
\(840\) | −19.1044 | + | 28.3019i | −0.659164 | + | 0.976508i | ||||
\(841\) | −1.49386 | − | 14.2131i | −0.0515123 | − | 0.490107i | ||||
\(842\) | 14.5509 | + | 16.1604i | 0.501458 | + | 0.556925i | ||||
\(843\) | 39.7249 | + | 20.0795i | 1.36820 | + | 0.691574i | ||||
\(844\) | −7.20007 | + | 1.53042i | −0.247837 | + | 0.0526793i | ||||
\(845\) | −2.23657 | − | 26.6641i | −0.0769404 | − | 0.917272i | ||||
\(846\) | 10.4856 | − | 14.6300i | 0.360502 | − | 0.502990i | ||||
\(847\) | −8.78471 | − | 27.0365i | −0.301846 | − | 0.928987i | ||||
\(848\) | −0.169908 | + | 1.61657i | −0.00583466 | + | 0.0555131i | ||||
\(849\) | 0.846898 | + | 15.2191i | 0.0290655 | + | 0.522318i | ||||
\(850\) | −15.5832 | − | 12.3558i | −0.534499 | − | 0.423799i | ||||
\(851\) | 20.8203 | − | 36.0619i | 0.713712 | − | 1.23619i | ||||
\(852\) | 7.19783 | − | 11.1625i | 0.246594 | − | 0.382419i | ||||
\(853\) | −30.9670 | + | 34.3923i | −1.06029 | + | 1.17757i | −0.0767185 | + | 0.997053i | \(0.524444\pi\) |
−0.983572 | + | 0.180519i | \(0.942222\pi\) | |||||||
\(854\) | −10.4921 | − | 32.2913i | −0.359032 | − | 1.10499i | ||||
\(855\) | 5.08070 | − | 22.2994i | 0.173756 | − | 0.762625i | ||||
\(856\) | 10.9520 | − | 33.7067i | 0.374331 | − | 1.15207i | ||||
\(857\) | 11.5451 | + | 19.9968i | 0.394375 | + | 0.683077i | 0.993021 | − | 0.117936i | \(-0.0376279\pi\) |
−0.598646 | + | 0.801013i | \(0.704295\pi\) | |||||||
\(858\) | 7.23911 | − | 7.28602i | 0.247139 | − | 0.248741i | ||||
\(859\) | −4.37235 | − | 41.6001i | −0.149183 | − | 1.41938i | −0.771309 | − | 0.636460i | \(-0.780398\pi\) |
0.622127 | − | 0.782916i | \(-0.286269\pi\) | |||||||
\(860\) | 11.6590 | − | 2.22297i | 0.397570 | − | 0.0758026i | ||||
\(861\) | −8.44451 | − | 0.415213i | −0.287788 | − | 0.0141504i | ||||
\(862\) | −14.5416 | − | 6.47436i | −0.495290 | − | 0.220517i | ||||
\(863\) | 8.30540 | − | 6.03422i | 0.282719 | − | 0.205407i | −0.437383 | − | 0.899275i | \(-0.644095\pi\) |
0.720102 | + | 0.693868i | \(0.244095\pi\) | |||||||
\(864\) | −15.9241 | − | 24.0084i | −0.541748 | − | 0.816781i | ||||
\(865\) | 9.48207 | + | 2.22492i | 0.322400 | + | 0.0756496i | ||||
\(866\) | 1.53001 | + | 0.681203i | 0.0519917 | + | 0.0231482i | ||||
\(867\) | −1.08248 | − | 3.98831i | −0.0367631 | − | 0.135450i | ||||
\(868\) | 9.89413 | − | 17.1371i | 0.335829 | − | 0.581672i | ||||
\(869\) | −2.48101 | − | 2.75544i | −0.0841626 | − | 0.0934721i | ||||
\(870\) | 22.9634 | + | 1.61390i | 0.778533 | + | 0.0547164i | ||||
\(871\) | 18.4341 | − | 20.4731i | 0.624615 | − | 0.693705i | ||||
\(872\) | −0.409030 | − | 1.25886i | −0.0138515 | − | 0.0426305i | ||||
\(873\) | −44.3907 | − | 25.2481i | −1.50240 | − | 0.854518i | ||||
\(874\) | −17.5562 | −0.593849 | ||||||||
\(875\) | −33.9049 | + | 4.99706i | −1.14619 | + | 0.168931i | ||||
\(876\) | 0.716065 | + | 12.8680i | 0.0241936 | + | 0.434768i | ||||
\(877\) | 13.9396 | − | 6.20630i | 0.470706 | − | 0.209572i | −0.157654 | − | 0.987494i | \(-0.550393\pi\) |
0.628360 | + | 0.777922i | \(0.283726\pi\) | |||||||
\(878\) | 8.49951 | + | 1.80663i | 0.286845 | + | 0.0609707i | ||||
\(879\) | −10.2500 | + | 3.97264i | −0.345724 | + | 0.133994i | ||||
\(880\) | −0.539050 | − | 0.409239i | −0.0181714 | − | 0.0137955i | ||||
\(881\) | 7.88976 | − | 24.2822i | 0.265813 | − | 0.818088i | −0.725692 | − | 0.688019i | \(-0.758480\pi\) |
0.991505 | − | 0.130068i | \(-0.0415196\pi\) | |||||||
\(882\) | 2.60279 | − | 5.94910i | 0.0876406 | − | 0.200317i | ||||
\(883\) | −7.07144 | + | 21.7636i | −0.237973 | + | 0.732405i | 0.758740 | + | 0.651393i | \(0.225815\pi\) |
−0.996713 | + | 0.0810118i | \(0.974185\pi\) | |||||||
\(884\) | −23.7949 | − | 10.5942i | −0.800307 | − | 0.356320i | ||||
\(885\) | −10.4585 | − | 8.78205i | −0.351560 | − | 0.295205i | ||||
\(886\) | 30.7144 | − | 13.6749i | 1.03187 | − | 0.459418i | ||||
\(887\) | −3.04382 | − | 28.9600i | −0.102202 | − | 0.972382i | −0.918679 | − | 0.395005i | \(-0.870743\pi\) |
0.816477 | − | 0.577377i | \(-0.195924\pi\) | |||||||
\(888\) | −12.9320 | + | 34.0171i | −0.433971 | + | 1.14154i | ||||
\(889\) | 5.60993 | − | 53.3749i | 0.188151 | − | 1.79014i | ||||
\(890\) | −9.77496 | − | 11.3265i | −0.327657 | − | 0.379665i | ||||
\(891\) | 3.79867 | + | 11.1968i | 0.127260 | + | 0.375107i | ||||
\(892\) | −5.72244 | + | 17.6119i | −0.191602 | + | 0.589689i | ||||
\(893\) | −11.3221 | − | 19.6105i | −0.378881 | − | 0.656240i | ||||
\(894\) | −2.79391 | − | 10.2939i | −0.0934424 | − | 0.344280i | ||||
\(895\) | 0.817537 | − | 0.155875i | 0.0273272 | − | 0.00521034i | ||||
\(896\) | 18.4335 | + | 3.91817i | 0.615821 | + | 0.130897i | ||||
\(897\) | 7.55988 | − | 48.7498i | 0.252417 | − | 1.62771i | ||||
\(898\) | 2.62868 | − | 25.0102i | 0.0877201 | − | 0.834601i | ||||
\(899\) | −35.8760 | −1.19653 | ||||||||
\(900\) | 4.30849 | − | 17.2286i | 0.143616 | − | 0.574287i | ||||
\(901\) | −31.0641 | −1.03490 | ||||||||
\(902\) | 0.197546 | − | 1.87952i | 0.00657756 | − | 0.0625813i | ||||
\(903\) | −22.1945 | + | 8.60202i | −0.738587 | + | 0.286257i | ||||
\(904\) | −33.2742 | − | 7.07265i | −1.10668 | − | 0.235233i | ||||
\(905\) | 9.89988 | + | 4.65964i | 0.329083 | + | 0.154892i | ||||
\(906\) | −29.6593 | − | 7.84459i | −0.985363 | − | 0.260619i | ||||
\(907\) | 6.18003 | + | 10.7041i | 0.205204 | + | 0.355425i | 0.950198 | − | 0.311647i | \(-0.100881\pi\) |
−0.744993 | + | 0.667072i | \(0.767547\pi\) | |||||||
\(908\) | 1.22517 | − | 3.77068i | 0.0406586 | − | 0.125134i | ||||
\(909\) | 28.0462 | − | 25.5829i | 0.930234 | − | 0.848531i | ||||
\(910\) | 28.5220 | − | 11.9864i | 0.945495 | − | 0.397347i | ||||
\(911\) | −5.66581 | + | 53.9066i | −0.187717 | + | 1.78601i | 0.343885 | + | 0.939012i | \(0.388257\pi\) |
−0.531602 | + | 0.846994i | \(0.678410\pi\) | |||||||
\(912\) | 1.34306 | − | 0.217170i | 0.0444733 | − | 0.00719120i | ||||
\(913\) | 1.65671 | + | 15.7625i | 0.0548290 | + | 0.521663i | ||||
\(914\) | −7.41230 | + | 3.30017i | −0.245177 | + | 0.109160i | ||||
\(915\) | 29.2238 | + | 37.4320i | 0.966110 | + | 1.23746i | ||||
\(916\) | −25.5851 | − | 11.3912i | −0.845357 | − | 0.376377i | ||||
\(917\) | −4.97082 | + | 15.2986i | −0.164151 | + | 0.505204i | ||||
\(918\) | −15.9348 | + | 13.1614i | −0.525927 | + | 0.434392i | ||||
\(919\) | −0.890312 | + | 2.74010i | −0.0293687 | + | 0.0903875i | −0.964666 | − | 0.263474i | \(-0.915132\pi\) |
0.935298 | + | 0.353862i | \(0.115132\pi\) | |||||||
\(920\) | −36.6529 | − | 0.771148i | −1.20841 | − | 0.0254240i | ||||
\(921\) | −34.9174 | − | 28.0893i | −1.15057 | − | 0.925574i | ||||
\(922\) | 10.3196 | + | 2.19349i | 0.339857 | + | 0.0722388i | ||||
\(923\) | −29.5649 | + | 13.1632i | −0.973142 | + | 0.433271i | ||||
\(924\) | −7.36998 | − | 3.72526i | −0.242455 | − | 0.122552i | ||||
\(925\) | −33.9628 | + | 13.4396i | −1.11669 | + | 0.441891i | ||||
\(926\) | 24.5957 | 0.808265 | ||||||||
\(927\) | −0.359735 | − | 55.6879i | −0.0118152 | − | 1.82903i | ||||
\(928\) | −11.2729 | − | 34.6943i | −0.370050 | − | 1.13890i | ||||
\(929\) | −33.8463 | + | 37.5901i | −1.11046 | + | 1.23329i | −0.140487 | + | 0.990083i | \(0.544867\pi\) |
−0.969974 | + | 0.243209i | \(0.921800\pi\) | |||||||
\(930\) | 3.31931 | − | 18.7860i | 0.108844 | − | 0.616016i | ||||
\(931\) | −5.46625 | − | 6.07089i | −0.179149 | − | 0.198965i | ||||
\(932\) | −13.0601 | + | 22.6207i | −0.427798 | + | 0.740967i | ||||
\(933\) | 5.61499 | + | 1.48511i | 0.183827 | + | 0.0486204i | ||||
\(934\) | −4.05717 | − | 1.80637i | −0.132755 | − | 0.0591061i | ||||
\(935\) | 6.70125 | − | 11.0628i | 0.219154 | − | 0.361791i | ||||
\(936\) | 0.278508 | + | 43.1137i | 0.00910332 | + | 1.40922i | ||||
\(937\) | 41.9653 | − | 30.4896i | 1.37095 | − | 0.996051i | 0.373283 | − | 0.927717i | \(-0.378232\pi\) |
0.997663 | − | 0.0683333i | \(-0.0217681\pi\) | |||||||
\(938\) | 13.9475 | + | 6.20982i | 0.455401 | + | 0.202758i | ||||
\(939\) | −7.02135 | − | 13.6708i | −0.229133 | − | 0.446131i | ||||
\(940\) | −8.46933 | − | 15.4090i | −0.276239 | − | 0.502587i | ||||
\(941\) | 3.50844 | + | 33.3806i | 0.114372 | + | 1.08818i | 0.889678 | + | 0.456589i | \(0.150929\pi\) |
−0.775306 | + | 0.631586i | \(0.782404\pi\) | |||||||
\(942\) | 6.25387 | + | 23.0418i | 0.203762 | + | 0.750743i | ||||
\(943\) | −4.53867 | − | 7.86121i | −0.147800 | − | 0.255996i | ||||
\(944\) | 0.251042 | − | 0.772628i | 0.00817072 | − | 0.0251469i | ||||
\(945\) | −2.26741 | + | 35.5434i | −0.0737587 | + | 1.15623i | ||||
\(946\) | −1.64419 | − | 5.06029i | −0.0534572 | − | 0.164524i | ||||
\(947\) | 10.8600 | − | 12.0613i | 0.352903 | − | 0.391939i | −0.540389 | − | 0.841415i | \(-0.681723\pi\) |
0.893292 | + | 0.449477i | \(0.148390\pi\) | |||||||
\(948\) | 5.78065 | + | 0.284232i | 0.187747 | + | 0.00923144i | ||||
\(949\) | 15.7014 | − | 27.1956i | 0.509688 | − | 0.882806i | ||||
\(950\) | 12.0667 | + | 9.56760i | 0.391497 | + | 0.310414i | ||||
\(951\) | 49.3859 | + | 24.9628i | 1.60145 | + | 0.809474i | ||||
\(952\) | 4.05767 | − | 38.6062i | 0.131510 | − | 1.25123i | ||||
\(953\) | 0.829618 | + | 2.55330i | 0.0268740 | + | 0.0827096i | 0.963594 | − | 0.267370i | \(-0.0861546\pi\) |
−0.936720 | + | 0.350080i | \(0.886155\pi\) | |||||||
\(954\) | 7.88964 | + | 17.4167i | 0.255436 | + | 0.563888i | ||||
\(955\) | −4.86211 | + | 8.02662i | −0.157334 | + | 0.259735i | ||||
\(956\) | −16.7550 | + | 3.56139i | −0.541895 | + | 0.115183i | ||||
\(957\) | 0.831842 | + | 14.9485i | 0.0268896 | + | 0.483217i | ||||
\(958\) | 21.0372 | + | 23.3642i | 0.679681 | + | 0.754862i | ||||
\(959\) | 0.582613 | + | 5.54319i | 0.0188135 | + | 0.178999i | ||||
\(960\) | 20.9775 | − | 2.94064i | 0.677046 | − | 0.0949089i | ||||
\(961\) | 0.132668 | − | 1.26225i | 0.00427962 | − | 0.0407179i | ||||
\(962\) | 26.6759 | − | 19.3812i | 0.860066 | − | 0.624875i | ||||
\(963\) | −7.91914 | − | 36.1081i | −0.255191 | − | 1.16357i | ||||
\(964\) | 8.53357 | + | 6.20000i | 0.274848 | + | 0.199689i | ||||
\(965\) | 5.25528 | + | 3.98974i | 0.169174 | + | 0.128434i | ||||
\(966\) | 26.9888 | − | 4.36401i | 0.868351 | − | 0.140410i | ||||
\(967\) | −2.74701 | − | 3.05086i | −0.0883378 | − | 0.0981091i | 0.697355 | − | 0.716726i | \(-0.254360\pi\) |
−0.785693 | + | 0.618617i | \(0.787693\pi\) | |||||||
\(968\) | −13.3373 | + | 23.1008i | −0.428676 | + | 0.742489i | ||||
\(969\) | 6.81050 | + | 25.0927i | 0.218785 | + | 0.806093i | ||||
\(970\) | 28.2376 | − | 19.6218i | 0.906655 | − | 0.630018i | ||||
\(971\) | −0.954719 | − | 2.93832i | −0.0306384 | − | 0.0942953i | 0.934568 | − | 0.355785i | \(-0.115786\pi\) |
−0.965206 | + | 0.261489i | \(0.915786\pi\) | |||||||
\(972\) | −16.5774 | − | 8.11214i | −0.531722 | − | 0.260197i | ||||
\(973\) | 25.4665 | + | 18.5025i | 0.816419 | + | 0.593163i | ||||
\(974\) | 5.73816 | + | 9.93878i | 0.183862 | + | 0.318459i | ||||
\(975\) | −31.7632 | + | 29.3868i | −1.01724 | + | 0.941130i | ||||
\(976\) | −1.41247 | + | 2.44647i | −0.0452121 | + | 0.0783096i | ||||
\(977\) | 23.4886 | − | 10.4578i | 0.751468 | − | 0.334575i | 0.00499195 | − | 0.999988i | \(-0.498411\pi\) |
0.746476 | + | 0.665413i | \(0.231744\pi\) | |||||||
\(978\) | 0.169019 | − | 1.08992i | 0.00540464 | − | 0.0348517i | ||||
\(979\) | 6.51093 | − | 7.23112i | 0.208090 | − | 0.231108i | ||||
\(980\) | −4.14442 | − | 4.80225i | −0.132389 | − | 0.153402i | ||||
\(981\) | −1.03193 | − | 0.917155i | −0.0329471 | − | 0.0292825i | ||||
\(982\) | 10.2646 | 0.327556 | ||||||||
\(983\) | 39.6591 | − | 8.42980i | 1.26493 | − | 0.268869i | 0.473862 | − | 0.880599i | \(-0.342860\pi\) |
0.791066 | + | 0.611730i | \(0.209526\pi\) | |||||||
\(984\) | 5.01244 | + | 6.14913i | 0.159791 | + | 0.196027i | ||||
\(985\) | 15.0523 | − | 2.86993i | 0.479605 | − | 0.0914437i | ||||
\(986\) | −23.9075 | + | 10.6443i | −0.761371 | + | 0.338984i | ||||
\(987\) | 22.2799 | + | 27.3324i | 0.709177 | + | 0.870000i | ||||
\(988\) | 18.4254 | + | 8.20351i | 0.586190 | + | 0.260988i | ||||
\(989\) | −20.6753 | − | 15.0215i | −0.657437 | − | 0.477656i | ||||
\(990\) | −7.90455 | − | 0.947481i | −0.251223 | − | 0.0301129i | ||||
\(991\) | −4.89581 | + | 3.55701i | −0.155520 | + | 0.112992i | −0.662824 | − | 0.748775i | \(-0.730642\pi\) |
0.507304 | + | 0.861767i | \(0.330642\pi\) | |||||||
\(992\) | −29.5705 | + | 6.28541i | −0.938865 | + | 0.199562i | ||||
\(993\) | 19.0709 | + | 9.63965i | 0.605197 | + | 0.305905i | ||||
\(994\) | −12.0009 | − | 13.3283i | −0.380645 | − | 0.422749i | ||||
\(995\) | −2.70004 | + | 21.3572i | −0.0855970 | + | 0.677069i | ||||
\(996\) | −19.2766 | − | 15.5070i | −0.610801 | − | 0.491359i | ||||
\(997\) | −20.6365 | + | 22.9192i | −0.653565 | + | 0.725857i | −0.975278 | − | 0.220980i | \(-0.929074\pi\) |
0.321714 | + | 0.946837i | \(0.395741\pi\) | |||||||
\(998\) | −14.1557 | − | 10.2847i | −0.448092 | − | 0.325558i | ||||
\(999\) | 6.30096 | + | 37.4316i | 0.199354 | + | 1.18428i |
(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 | 225.2.q.a.166.10 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.91.19 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.316.10 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.16.19 | ✓ | 224 | |
25.11 | even | 5 | inner | 225.2.q.a.211.19 | yes | 224 | |
75.11 | odd | 10 | 675.2.r.a.361.10 | 224 | |||
225.11 | odd | 30 | 675.2.r.a.586.19 | 224 | |||
225.61 | even | 15 | inner | 225.2.q.a.61.10 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.16.19 | ✓ | 224 | 9.7 | even | 3 | inner | |
225.2.q.a.61.10 | yes | 224 | 225.61 | even | 15 | inner | |
225.2.q.a.166.10 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.211.19 | yes | 224 | 25.11 | even | 5 | inner | |
675.2.r.a.91.19 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.316.10 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.361.10 | 224 | 75.11 | odd | 10 | |||
675.2.r.a.586.19 | 224 | 225.11 | odd | 30 |