Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(37,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.n (of order \(15\), degree \(8\), not 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: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 289.5 | ||
Character | \(\chi\) | \(=\) | 297.289 |
Dual form | 297.2.n.b.37.5 |
$q$-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 \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0512706 | − | 0.487807i | −0.0362538 | − | 0.344932i | −0.997580 | − | 0.0695211i | \(-0.977853\pi\) |
0.961327 | − | 0.275411i | \(-0.0888138\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.72097 | − | 0.365803i | 0.860484 | − | 0.182902i | ||||
\(5\) | 0.178553 | − | 1.69882i | 0.0798514 | − | 0.759735i | −0.879190 | − | 0.476471i | \(-0.841916\pi\) |
0.959042 | − | 0.283265i | \(-0.0914175\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.28209 | + | 2.53451i | 0.862547 | + | 0.957956i | 0.999468 | − | 0.0326264i | \(-0.0103872\pi\) |
−0.136921 | + | 0.990582i | \(0.543720\pi\) | |||||||
\(8\) | −0.569818 | − | 1.75372i | −0.201461 | − | 0.620034i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.837851 | −0.264952 | ||||||||
\(11\) | 2.17733 | + | 2.50184i | 0.656490 | + | 0.754334i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.65228 | − | 1.62610i | −1.01296 | − | 0.451000i | −0.167977 | − | 0.985791i | \(-0.553724\pi\) |
−0.844984 | + | 0.534791i | \(0.820390\pi\) | |||||||
\(14\) | 1.11935 | − | 1.24316i | 0.299159 | − | 0.332249i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.38835 | − | 1.06336i | 0.597088 | − | 0.265840i | ||||
\(17\) | −2.67346 | − | 1.94238i | −0.648409 | − | 0.471097i | 0.214320 | − | 0.976763i | \(-0.431246\pi\) |
−0.862729 | + | 0.505667i | \(0.831246\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.36513 | − | 4.20144i | −0.313182 | − | 0.963875i | −0.976496 | − | 0.215534i | \(-0.930851\pi\) |
0.663314 | − | 0.748341i | \(-0.269149\pi\) | |||||||
\(20\) | −0.314149 | − | 2.98893i | −0.0702459 | − | 0.668345i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.10878 | − | 1.19039i | 0.236394 | − | 0.253792i | ||||
\(23\) | 3.74601 | + | 6.48827i | 0.781096 | + | 1.35290i | 0.931304 | + | 0.364244i | \(0.118672\pi\) |
−0.150208 | + | 0.988654i | \(0.547994\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.03663 | + | 0.432899i | 0.407326 | + | 0.0865799i | ||||
\(26\) | −0.605969 | + | 1.86498i | −0.118840 | + | 0.365753i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.85453 | + | 3.52702i | 0.917420 | + | 0.666544i | ||||
\(29\) | −1.13169 | − | 1.25687i | −0.210150 | − | 0.233395i | 0.628850 | − | 0.777527i | \(-0.283526\pi\) |
−0.839000 | + | 0.544131i | \(0.816859\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.56147 | − | 1.58567i | −0.639659 | − | 0.284795i | 0.0611661 | − | 0.998128i | \(-0.480518\pi\) |
−0.700825 | + | 0.713333i | \(0.747185\pi\) | |||||||
\(32\) | −2.48514 | − | 4.30439i | −0.439315 | − | 0.760915i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.810437 | + | 1.40372i | −0.138989 | + | 0.240736i | ||||
\(35\) | 4.71315 | − | 3.42431i | 0.796668 | − | 0.578813i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.947300 | − | 2.91549i | 0.155735 | − | 0.479304i | −0.842499 | − | 0.538697i | \(-0.818917\pi\) |
0.998235 | + | 0.0593935i | \(0.0189167\pi\) | |||||||
\(38\) | −1.97950 | + | 0.881330i | −0.321117 | + | 0.142971i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.08100 | + | 0.654886i | −0.487148 | + | 0.103547i | ||||
\(41\) | −0.261546 | + | 0.290476i | −0.0408467 | + | 0.0453648i | −0.763222 | − | 0.646136i | \(-0.776384\pi\) |
0.722375 | + | 0.691501i | \(0.243050\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.80634 | + | 8.32483i | −0.732960 | + | 1.26952i | 0.222652 | + | 0.974898i | \(0.428529\pi\) |
−0.955613 | + | 0.294626i | \(0.904805\pi\) | |||||||
\(44\) | 4.66230 | + | 3.50912i | 0.702869 | + | 0.529020i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.97296 | − | 2.15999i | 0.438340 | − | 0.318472i | ||||
\(47\) | −1.05665 | − | 0.224598i | −0.154129 | − | 0.0327610i | 0.130201 | − | 0.991488i | \(-0.458438\pi\) |
−0.284330 | + | 0.958727i | \(0.591771\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.484141 | + | 4.60629i | −0.0691630 | + | 0.658042i | ||||
\(50\) | 0.106752 | − | 1.01568i | 0.0150970 | − | 0.143639i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.88030 | − | 1.46245i | −0.954126 | − | 0.202806i | ||||
\(53\) | −10.1643 | + | 7.38480i | −1.39618 | + | 1.01438i | −0.401020 | + | 0.916069i | \(0.631344\pi\) |
−0.995156 | + | 0.0983117i | \(0.968656\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.63895 | − | 3.25218i | 0.625516 | − | 0.438524i | ||||
\(56\) | 3.14445 | − | 5.44635i | 0.420195 | − | 0.727799i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.555089 | + | 0.616488i | −0.0728867 | + | 0.0809489i | ||||
\(59\) | −3.57664 | + | 0.760238i | −0.465639 | + | 0.0989746i | −0.434756 | − | 0.900548i | \(-0.643165\pi\) |
−0.0308830 | + | 0.999523i | \(0.509832\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.52005 | + | 1.56723i | −0.450696 | + | 0.200663i | −0.619516 | − | 0.784984i | \(-0.712671\pi\) |
0.168820 | + | 0.985647i | \(0.446004\pi\) | |||||||
\(62\) | −0.590902 | + | 1.81861i | −0.0750446 | + | 0.230964i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.25785 | − | 1.64043i | 0.282232 | − | 0.205053i | ||||
\(65\) | −3.41458 | + | 5.91423i | −0.423527 | + | 0.733570i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.55060 | − | 2.68572i | −0.189436 | − | 0.328113i | 0.755626 | − | 0.655003i | \(-0.227333\pi\) |
−0.945062 | + | 0.326890i | \(0.893999\pi\) | |||||||
\(68\) | −5.31146 | − | 2.36482i | −0.644110 | − | 0.286776i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.91205 | − | 2.12354i | −0.228533 | − | 0.253812i | ||||
\(71\) | 5.67699 | + | 4.12458i | 0.673735 | + | 0.489497i | 0.871273 | − | 0.490798i | \(-0.163295\pi\) |
−0.197538 | + | 0.980295i | \(0.563295\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.64842 | + | 14.3064i | −0.544057 | + | 1.67443i | 0.179165 | + | 0.983819i | \(0.442660\pi\) |
−0.723222 | + | 0.690615i | \(0.757340\pi\) | |||||||
\(74\) | −1.47077 | − | 0.312621i | −0.170973 | − | 0.0363414i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.88624 | − | 6.73117i | −0.445783 | − | 0.772118i | ||||
\(77\) | −1.37210 | + | 11.2279i | −0.156365 | + | 1.27954i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.418023 | + | 3.97722i | 0.0470313 | + | 0.447473i | 0.992544 | + | 0.121887i | \(0.0388946\pi\) |
−0.945513 | + | 0.325585i | \(0.894439\pi\) | |||||||
\(80\) | −1.38001 | − | 4.24724i | −0.154290 | − | 0.474856i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.155106 | + | 0.112691i | 0.0171286 | + | 0.0124447i | ||||
\(83\) | 0.114162 | − | 0.0508282i | 0.0125309 | − | 0.00557912i | −0.400462 | − | 0.916314i | \(-0.631150\pi\) |
0.412993 | + | 0.910734i | \(0.364484\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.77711 | + | 4.19490i | −0.409685 | + | 0.455001i | ||||
\(86\) | 4.30733 | + | 1.91775i | 0.464472 | + | 0.206796i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.14685 | − | 5.24403i | 0.335455 | − | 0.559015i | ||||
\(89\) | 7.93327 | 0.840925 | 0.420462 | − | 0.907310i | \(-0.361868\pi\) | ||||
0.420462 | + | 0.907310i | \(0.361868\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.21345 | − | 12.9677i | −0.441690 | − | 1.35938i | ||||
\(92\) | 8.82019 | + | 9.79581i | 0.919568 | + | 1.02128i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.0553855 | + | 0.526958i | −0.00571258 | + | 0.0543515i | ||||
\(95\) | −7.38123 | + | 1.56893i | −0.757298 | + | 0.160969i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.0358699 | − | 0.341280i | −0.00364204 | − | 0.0346517i | 0.992550 | − | 0.121838i | \(-0.0388790\pi\) |
−0.996192 | + | 0.0871867i | \(0.972212\pi\) | |||||||
\(98\) | 2.27180 | 0.229487 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.66333 | 0.366333 | ||||||||
\(101\) | 0.743781 | + | 7.07660i | 0.0740090 | + | 0.704148i | 0.967121 | + | 0.254315i | \(0.0818500\pi\) |
−0.893112 | + | 0.449833i | \(0.851483\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.61814 | − | 0.343946i | 0.159440 | − | 0.0338900i | −0.127500 | − | 0.991839i | \(-0.540695\pi\) |
0.286940 | + | 0.957949i | \(0.407362\pi\) | |||||||
\(104\) | −0.770589 | + | 7.33167i | −0.0755625 | + | 0.718929i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.12349 | + | 4.57960i | 0.400509 | + | 0.444810i | ||||
\(107\) | −1.02187 | − | 3.14498i | −0.0987876 | − | 0.304037i | 0.889435 | − | 0.457062i | \(-0.151098\pi\) |
−0.988222 | + | 0.153025i | \(0.951098\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.50709 | −0.527484 | −0.263742 | − | 0.964593i | \(-0.584957\pi\) | ||||
−0.263742 | + | 0.964593i | \(0.584957\pi\) | |||||||
\(110\) | −1.82428 | − | 2.09617i | −0.173938 | − | 0.199862i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.14552 | + | 3.62662i | 0.769680 | + | 0.342683i | ||||
\(113\) | 10.9799 | − | 12.1944i | 1.03290 | − | 1.14716i | 0.0439343 | − | 0.999034i | \(-0.486011\pi\) |
0.988969 | − | 0.148121i | \(-0.0473225\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 11.6913 | − | 5.20529i | 1.09022 | − | 0.485395i | ||||
\(116\) | −2.40738 | − | 1.74906i | −0.223519 | − | 0.162396i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.554226 | + | 1.70573i | 0.0510206 | + | 0.157025i | ||||
\(119\) | −1.17807 | − | 11.2086i | −0.107994 | − | 1.02749i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.51845 | + | 10.8947i | −0.138040 | + | 0.990427i | ||||
\(122\) | 0.944980 | + | 1.63675i | 0.0855545 | + | 0.148185i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.70922 | − | 1.42609i | −0.602506 | − | 0.128067i | ||||
\(125\) | 3.73834 | − | 11.5054i | 0.334368 | − | 1.02908i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.73327 | − | 6.34509i | −0.774952 | − | 0.563036i | 0.128508 | − | 0.991709i | \(-0.458981\pi\) |
−0.903460 | + | 0.428673i | \(0.858981\pi\) | |||||||
\(128\) | −7.56750 | − | 8.40456i | −0.668879 | − | 0.742865i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.06007 | + | 1.36243i | 0.268386 | + | 0.119493i | ||||
\(131\) | −10.5778 | − | 18.3213i | −0.924189 | − | 1.60074i | −0.792860 | − | 0.609404i | \(-0.791409\pi\) |
−0.131329 | − | 0.991339i | \(-0.541925\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.53325 | − | 13.0480i | 0.653216 | − | 1.13140i | ||||
\(134\) | −1.23061 | + | 0.894092i | −0.106309 | + | 0.0772378i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.88301 | + | 5.79530i | −0.161467 | + | 0.496943i | ||||
\(137\) | −2.92382 | + | 1.30177i | −0.249799 | + | 0.111218i | −0.527817 | − | 0.849358i | \(-0.676989\pi\) |
0.278018 | + | 0.960576i | \(0.410323\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.6660 | − | 3.11735i | 1.24395 | − | 0.264411i | 0.461512 | − | 0.887134i | \(-0.347307\pi\) |
0.782442 | + | 0.622723i | \(0.213974\pi\) | |||||||
\(140\) | 6.85856 | − | 7.61721i | 0.579654 | − | 0.643771i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.72094 | − | 2.98075i | 0.144418 | − | 0.250139i | ||||
\(143\) | −3.88399 | − | 12.6780i | −0.324795 | − | 1.06019i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.33727 | + | 1.69812i | −0.194099 | + | 0.141021i | ||||
\(146\) | 7.21708 | + | 1.53404i | 0.597290 | + | 0.126958i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.563778 | − | 5.36399i | 0.0463423 | − | 0.440917i | ||||
\(149\) | 0.423458 | − | 4.02893i | 0.0346910 | − | 0.330063i | −0.963388 | − | 0.268111i | \(-0.913601\pi\) |
0.998079 | − | 0.0619522i | \(-0.0197326\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.62367 | + | 1.62046i | 0.620405 | + | 0.131871i | 0.507382 | − | 0.861721i | \(-0.330613\pi\) |
0.113023 | + | 0.993592i | \(0.463947\pi\) | |||||||
\(152\) | −6.59027 | + | 4.78811i | −0.534541 | + | 0.388367i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.54740 | + | 0.0936570i | 0.447022 | + | 0.00754709i | ||||
\(155\) | −3.32968 | + | 5.76717i | −0.267446 | + | 0.463230i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.206863 | − | 0.229745i | 0.0165095 | − | 0.0183356i | −0.734834 | − | 0.678248i | \(-0.762740\pi\) |
0.751343 | + | 0.659912i | \(0.229406\pi\) | |||||||
\(158\) | 1.91868 | − | 0.407829i | 0.152642 | − | 0.0324451i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.75610 | + | 3.45324i | −0.613174 | + | 0.273003i | ||||
\(161\) | −7.89590 | + | 24.3011i | −0.622284 | + | 1.91519i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.89442 | + | 6.46217i | −0.696665 | + | 0.506157i | −0.878844 | − | 0.477109i | \(-0.841685\pi\) |
0.182179 | + | 0.983265i | \(0.441685\pi\) | |||||||
\(164\) | −0.343855 | + | 0.595575i | −0.0268506 | + | 0.0465066i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.0306475 | − | 0.0530830i | −0.00237871 | − | 0.00412004i | ||||
\(167\) | 16.0545 | + | 7.14793i | 1.24234 | + | 0.553124i | 0.919410 | − | 0.393300i | \(-0.128667\pi\) |
0.322926 | + | 0.946424i | \(0.395333\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.99628 | + | 2.21709i | 0.153560 | + | 0.170546i | ||||
\(170\) | 2.23996 | + | 1.62742i | 0.171797 | + | 0.124818i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.22631 | + | 16.0849i | −0.398503 | + | 1.22646i | ||||
\(173\) | 12.0955 | + | 2.57098i | 0.919605 | + | 0.195468i | 0.643311 | − | 0.765605i | \(-0.277560\pi\) |
0.276294 | + | 0.961073i | \(0.410894\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.55058 | + | 6.14978i | 0.268398 | + | 0.464880i | ||||
\(176\) | 7.86060 | + | 3.65999i | 0.592515 | + | 0.275882i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.406743 | − | 3.86990i | −0.0304867 | − | 0.290061i | ||||
\(179\) | −6.76200 | − | 20.8113i | −0.505416 | − | 1.55551i | −0.800071 | − | 0.599906i | \(-0.795205\pi\) |
0.294655 | − | 0.955604i | \(-0.404795\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.54364 | + | 2.57460i | 0.263396 | + | 0.191369i | 0.711643 | − | 0.702541i | \(-0.247951\pi\) |
−0.448247 | + | 0.893910i | \(0.647951\pi\) | |||||||
\(182\) | −6.10969 | + | 2.72021i | −0.452880 | + | 0.201635i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 9.24407 | − | 10.2666i | 0.681482 | − | 0.756862i | ||||
\(185\) | −4.78375 | − | 2.12986i | −0.351708 | − | 0.156591i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.961474 | − | 10.9178i | −0.0703099 | − | 0.798387i | ||||
\(188\) | −1.90062 | −0.138617 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.14377 | + | 3.52018i | 0.0829781 | + | 0.255380i | ||||
\(191\) | −8.37399 | − | 9.30026i | −0.605921 | − | 0.672943i | 0.359649 | − | 0.933088i | \(-0.382896\pi\) |
−0.965570 | + | 0.260144i | \(0.916230\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.31347 | − | 12.4969i | 0.0945460 | − | 0.899545i | −0.839732 | − | 0.543000i | \(-0.817288\pi\) |
0.934278 | − | 0.356544i | \(-0.116045\pi\) | |||||||
\(194\) | −0.164640 | + | 0.0349952i | −0.0118204 | + | 0.00251251i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.851805 | + | 8.10438i | 0.0608432 | + | 0.578885i | ||||
\(197\) | 10.3453 | 0.737075 | 0.368538 | − | 0.929613i | \(-0.379859\pi\) | ||||
0.368538 | + | 0.929613i | \(0.379859\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 26.4773 | 1.87693 | 0.938464 | − | 0.345376i | \(-0.112249\pi\) | ||||
0.938464 | + | 0.345376i | \(0.112249\pi\) | |||||||
\(200\) | −0.401325 | − | 3.81836i | −0.0283780 | − | 0.269999i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.41388 | − | 0.725643i | 0.240200 | − | 0.0510561i | ||||
\(203\) | 0.602939 | − | 5.73658i | 0.0423180 | − | 0.402629i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.446767 | + | 0.496185i | 0.0312036 | + | 0.0346551i | ||||
\(206\) | −0.250742 | − | 0.771705i | −0.0174700 | − | 0.0537672i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −10.4521 | −0.724721 | ||||||||
\(209\) | 7.53900 | − | 12.5633i | 0.521483 | − | 0.869019i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.65418 | − | 2.96263i | −0.458092 | − | 0.203956i | 0.164699 | − | 0.986344i | \(-0.447335\pi\) |
−0.622791 | + | 0.782388i | \(0.714001\pi\) | |||||||
\(212\) | −14.7911 | + | 16.4272i | −1.01586 | + | 1.12822i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.48175 | + | 0.659719i | −0.101291 | + | 0.0450975i | ||||
\(215\) | 13.2842 | + | 9.65153i | 0.905974 | + | 0.658229i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.10868 | − | 12.6452i | −0.278916 | − | 0.858414i | ||||
\(218\) | 0.282352 | + | 2.68640i | 0.0191233 | + | 0.181946i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.79383 | − | 7.29385i | 0.458040 | − | 0.491751i | ||||
\(221\) | 6.60572 | + | 11.4414i | 0.444349 | + | 0.769635i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −22.9963 | − | 4.88802i | −1.53995 | − | 0.327326i | −0.641748 | − | 0.766915i | \(-0.721791\pi\) |
−0.898199 | + | 0.439590i | \(0.855124\pi\) | |||||||
\(224\) | 5.23822 | − | 16.1216i | 0.349993 | − | 1.07717i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.51148 | − | 4.73086i | −0.433137 | − | 0.314692i | ||||
\(227\) | 7.97750 | + | 8.85991i | 0.529485 | + | 0.588053i | 0.947247 | − | 0.320503i | \(-0.103852\pi\) |
−0.417762 | + | 0.908557i | \(0.637185\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.79323 | + | 1.24363i | 0.184582 | + | 0.0821811i | 0.496947 | − | 0.867781i | \(-0.334454\pi\) |
−0.312365 | + | 0.949962i | \(0.601121\pi\) | |||||||
\(230\) | −3.13859 | − | 5.43620i | −0.206953 | − | 0.358453i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.55934 | + | 2.70086i | −0.102376 | + | 0.177320i | ||||
\(233\) | −19.8463 | + | 14.4192i | −1.30017 | + | 0.944632i | −0.999957 | − | 0.00923938i | \(-0.997059\pi\) |
−0.300217 | + | 0.953871i | \(0.597059\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.570221 | + | 1.75496i | −0.0371971 | + | 0.114481i | ||||
\(236\) | −5.87718 | + | 2.61669i | −0.382572 | + | 0.170332i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −5.40723 | + | 1.14934i | −0.350499 | + | 0.0745008i | ||||
\(239\) | 4.65088 | − | 5.16532i | 0.300840 | − | 0.334117i | −0.573704 | − | 0.819063i | \(-0.694494\pi\) |
0.874544 | + | 0.484946i | \(0.161161\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.88529 | − | 6.72952i | 0.250274 | − | 0.433487i | −0.713327 | − | 0.700831i | \(-0.752813\pi\) |
0.963601 | + | 0.267344i | \(0.0861461\pi\) | |||||||
\(242\) | 5.39236 | + | 0.182131i | 0.346634 | + | 0.0117078i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.48460 | + | 3.98480i | −0.351116 | + | 0.255100i | ||||
\(245\) | 7.73881 | + | 1.64494i | 0.494415 | + | 0.105091i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.84612 | + | 17.5647i | −0.117466 | + | 1.11761i | ||||
\(248\) | −0.751429 | + | 7.14937i | −0.0477158 | + | 0.453985i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.80410 | − | 1.23370i | −0.367084 | − | 0.0780260i | ||||
\(251\) | 0.264684 | − | 0.192304i | 0.0167067 | − | 0.0121381i | −0.579401 | − | 0.815043i | \(-0.696713\pi\) |
0.596107 | + | 0.802905i | \(0.296713\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.07634 | + | 23.4990i | −0.507755 | + | 1.47737i | ||||
\(254\) | −2.64742 | + | 4.58547i | −0.166114 | + | 0.287718i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.0230840 | − | 0.0256374i | 0.00144275 | − | 0.00160234i | ||||
\(257\) | −13.4292 | + | 2.85445i | −0.837688 | + | 0.178056i | −0.606730 | − | 0.794908i | \(-0.707519\pi\) |
−0.230957 | + | 0.972964i | \(0.574186\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.55117 | − | 4.25245i | 0.593481 | − | 0.264235i | ||||
\(260\) | −3.71294 | + | 11.4273i | −0.230267 | + | 0.708689i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.39495 | + | 6.09928i | −0.518641 | + | 0.376815i | ||||
\(263\) | −8.42709 | + | 14.5961i | −0.519637 | + | 0.900037i | 0.480103 | + | 0.877212i | \(0.340599\pi\) |
−0.999739 | + | 0.0228249i | \(0.992734\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.7306 | + | 18.5859i | 0.659174 | + | 1.14172i | ||||
\(266\) | −6.75113 | − | 3.00579i | −0.413938 | − | 0.184297i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.65098 | − | 4.05482i | −0.223019 | − | 0.247688i | ||||
\(269\) | 10.0297 | + | 7.28700i | 0.611522 | + | 0.444296i | 0.849950 | − | 0.526864i | \(-0.176632\pi\) |
−0.238428 | + | 0.971160i | \(0.576632\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.95460 | − | 18.3264i | 0.361716 | − | 1.11325i | −0.590296 | − | 0.807187i | \(-0.700989\pi\) |
0.952012 | − | 0.306061i | \(-0.0990112\pi\) | |||||||
\(272\) | −8.45061 | − | 1.79623i | −0.512393 | − | 0.108913i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.784919 | + | 1.35952i | 0.0474187 | + | 0.0821316i | ||||
\(275\) | 3.35138 | + | 6.03790i | 0.202096 | + | 0.364099i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.08198 | − | 10.2944i | −0.0650100 | − | 0.618529i | −0.977719 | − | 0.209919i | \(-0.932680\pi\) |
0.912709 | − | 0.408611i | \(-0.133987\pi\) | |||||||
\(278\) | −2.27260 | − | 6.99435i | −0.136302 | − | 0.419493i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −8.69092 | − | 6.31432i | −0.519382 | − | 0.377353i | ||||
\(281\) | 15.0149 | − | 6.68504i | 0.895711 | − | 0.398796i | 0.0933486 | − | 0.995633i | \(-0.470243\pi\) |
0.802362 | + | 0.596837i | \(0.203576\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.846419 | + | 0.940044i | −0.0503144 | + | 0.0558798i | −0.767777 | − | 0.640718i | \(-0.778637\pi\) |
0.717462 | + | 0.696597i | \(0.245304\pi\) | |||||||
\(284\) | 11.2787 | + | 5.02160i | 0.669268 | + | 0.297977i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.98529 | + | 2.54464i | −0.353918 | + | 0.150468i | ||||
\(287\) | −1.33309 | −0.0786896 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.87876 | − | 5.78222i | −0.110515 | − | 0.340130i | ||||
\(290\) | 0.948189 | + | 1.05307i | 0.0556796 | + | 0.0618385i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.76647 | + | 26.3212i | −0.161896 | + | 1.54033i | ||||
\(293\) | −23.5610 | + | 5.00805i | −1.37645 | + | 0.292574i | −0.835966 | − | 0.548780i | \(-0.815092\pi\) |
−0.540484 | + | 0.841354i | \(0.681759\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.652887 | + | 6.21181i | 0.0380126 | + | 0.361665i | ||||
\(296\) | −5.65274 | −0.328559 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.98705 | −0.115107 | ||||||||
\(299\) | −3.13089 | − | 29.7884i | −0.181064 | − | 1.72271i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −32.0679 | + | 6.81623i | −1.84836 | + | 0.392881i | ||||
\(302\) | 0.399602 | − | 3.80196i | 0.0229945 | − | 0.218778i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.72805 | − | 8.58287i | −0.443234 | − | 0.492262i | ||||
\(305\) | 2.03392 | + | 6.25977i | 0.116462 | + | 0.358433i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.2949 | 0.930001 | 0.465001 | − | 0.885310i | \(-0.346054\pi\) | ||||
0.465001 | + | 0.885310i | \(0.346054\pi\) | |||||||
\(308\) | 1.74587 | + | 19.8248i | 0.0994800 | + | 1.12962i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.98398 | + | 1.32855i | 0.169479 | + | 0.0754568i | ||||
\(311\) | −14.3002 | + | 15.8819i | −0.810888 | + | 0.900582i | −0.996631 | − | 0.0820162i | \(-0.973864\pi\) |
0.185743 | + | 0.982598i | \(0.440531\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.84672 | − | 1.26744i | 0.160906 | − | 0.0716401i | −0.324703 | − | 0.945816i | \(-0.605264\pi\) |
0.485609 | + | 0.874176i | \(0.338598\pi\) | |||||||
\(314\) | −0.122677 | − | 0.0891301i | −0.00692307 | − | 0.00502990i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.17428 | + | 6.69176i | 0.122313 | + | 0.376441i | ||||
\(317\) | −1.90920 | − | 18.1648i | −0.107231 | − | 1.02024i | −0.907345 | − | 0.420388i | \(-0.861894\pi\) |
0.800113 | − | 0.599849i | \(-0.204773\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.680426 | − | 5.56795i | 0.0380966 | − | 0.311745i | ||||
\(320\) | −2.38364 | − | 4.12859i | −0.133250 | − | 0.230795i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 12.2591 | + | 2.60575i | 0.683171 | + | 0.145212i | ||||
\(323\) | −4.51117 | + | 13.8840i | −0.251008 | + | 0.772524i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.73442 | − | 4.89284i | −0.373558 | − | 0.271406i | ||||
\(326\) | 3.60832 | + | 4.00744i | 0.199846 | + | 0.221952i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.658448 | + | 0.293160i | 0.0363567 | + | 0.0161871i | ||||
\(329\) | −1.84212 | − | 3.19065i | −0.101560 | − | 0.175906i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.88308 | + | 3.26159i | −0.103503 | + | 0.179273i | −0.913126 | − | 0.407678i | \(-0.866339\pi\) |
0.809622 | + | 0.586951i | \(0.199672\pi\) | |||||||
\(332\) | 0.177876 | − | 0.129235i | 0.00976222 | − | 0.00709267i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.66369 | − | 8.19799i | 0.145751 | − | 0.448574i | ||||
\(335\) | −4.83941 | + | 2.15465i | −0.264405 | + | 0.117721i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.83580 | + | 1.24044i | −0.317896 | + | 0.0675710i | −0.364096 | − | 0.931361i | \(-0.618622\pi\) |
0.0462001 | + | 0.998932i | \(0.485289\pi\) | |||||||
\(338\) | 0.979163 | − | 1.08747i | 0.0532594 | − | 0.0591506i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.96577 | + | 8.60097i | −0.269307 | + | 0.466453i | ||||
\(341\) | −3.78741 | − | 12.3628i | −0.205100 | − | 0.669482i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.53464 | − | 4.74769i | 0.352837 | − | 0.256351i | ||||
\(344\) | 17.3382 | + | 3.68534i | 0.934811 | + | 0.198700i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.633999 | − | 6.03209i | 0.0340840 | − | 0.324287i | ||||
\(347\) | 2.54520 | − | 24.2159i | 0.136633 | − | 1.29998i | −0.684403 | − | 0.729104i | \(-0.739937\pi\) |
0.821036 | − | 0.570876i | \(-0.193396\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.3759 | − | 3.48081i | −0.876583 | − | 0.186323i | −0.252420 | − | 0.967618i | \(-0.581227\pi\) |
−0.624163 | + | 0.781294i | \(0.714560\pi\) | |||||||
\(350\) | 2.81787 | − | 2.04730i | 0.150621 | − | 0.109433i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.35793 | − | 15.5895i | 0.285579 | − | 0.830924i | ||||
\(353\) | −4.01566 | + | 6.95533i | −0.213732 | + | 0.370195i | −0.952880 | − | 0.303349i | \(-0.901895\pi\) |
0.739148 | + | 0.673544i | \(0.235229\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.02056 | − | 8.90773i | 0.425687 | − | 0.472773i | ||||
\(356\) | 13.6529 | − | 2.90201i | 0.723602 | − | 0.153806i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9.80521 | + | 4.36556i | −0.518221 | + | 0.230727i | ||||
\(359\) | 8.90742 | − | 27.4142i | 0.470116 | − | 1.44687i | −0.382317 | − | 0.924031i | \(-0.624874\pi\) |
0.852433 | − | 0.522836i | \(-0.175126\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.417162 | + | 0.303086i | −0.0219559 | + | 0.0159519i | ||||
\(362\) | 1.07422 | − | 1.86061i | 0.0564600 | − | 0.0977916i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −11.9948 | − | 20.7756i | −0.628700 | − | 1.08894i | ||||
\(365\) | 23.4740 | + | 10.4513i | 1.22868 | + | 0.547045i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 14.9506 | + | 16.6044i | 0.780417 | + | 0.866741i | 0.993909 | − | 0.110204i | \(-0.0351503\pi\) |
−0.213492 | + | 0.976945i | \(0.568484\pi\) | |||||||
\(368\) | 15.8462 | + | 11.5129i | 0.826038 | + | 0.600152i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.793696 | + | 2.44275i | −0.0412623 | + | 0.126992i | ||||
\(371\) | −41.9127 | − | 8.90882i | −2.17600 | − | 0.462523i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.53936 | − | 6.13036i | −0.183261 | − | 0.317418i | 0.759728 | − | 0.650241i | \(-0.225332\pi\) |
−0.942989 | + | 0.332823i | \(0.891999\pi\) | |||||||
\(374\) | −5.27648 | + | 1.02877i | −0.272840 | + | 0.0531967i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.208217 | + | 1.98105i | 0.0107380 | + | 0.102165i | ||||
\(377\) | 2.08946 | + | 6.43070i | 0.107613 | + | 0.331198i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 19.6964 | + | 14.3103i | 1.01174 | + | 0.735070i | 0.964573 | − | 0.263818i | \(-0.0849817\pi\) |
0.0471638 | + | 0.998887i | \(0.484982\pi\) | |||||||
\(380\) | −12.1289 | + | 5.40015i | −0.622202 | + | 0.277022i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.10739 | + | 4.56172i | −0.210153 | + | 0.233398i | ||||
\(383\) | 16.1130 | + | 7.17398i | 0.823337 | + | 0.366573i | 0.774767 | − | 0.632247i | \(-0.217867\pi\) |
0.0485695 | + | 0.998820i | \(0.484534\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.8292 | + | 4.33572i | 0.959624 | + | 0.220969i | ||||
\(386\) | −6.16341 | −0.313709 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.186572 | − | 0.574210i | −0.00947177 | − | 0.0291511i | ||||
\(389\) | 11.9661 | + | 13.2897i | 0.606703 | + | 0.673812i | 0.965740 | − | 0.259511i | \(-0.0835615\pi\) |
−0.359037 | + | 0.933323i | \(0.616895\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.58791 | − | 24.6223i | 0.130876 | − | 1.24520i | ||||
\(392\) | 8.35402 | − | 1.77570i | 0.421942 | − | 0.0896865i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.530412 | − | 5.04653i | −0.0267218 | − | 0.254241i | ||||
\(395\) | 6.83122 | 0.343716 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −21.9395 | −1.10111 | −0.550556 | − | 0.834798i | \(-0.685584\pi\) | ||||
−0.550556 | + | 0.834798i | \(0.685584\pi\) | |||||||
\(398\) | −1.35751 | − | 12.9158i | −0.0680458 | − | 0.647412i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 5.32452 | − | 1.13176i | 0.266226 | − | 0.0565881i | ||||
\(401\) | 0.565244 | − | 5.37793i | 0.0282269 | − | 0.268561i | −0.971301 | − | 0.237852i | \(-0.923557\pi\) |
0.999528 | − | 0.0307093i | \(-0.00977662\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.4290 | + | 11.5826i | 0.519508 | + | 0.576972i | ||||
\(404\) | 3.86867 | + | 11.9065i | 0.192473 | + | 0.592372i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.82926 | −0.140414 | ||||||||
\(407\) | 9.35669 | − | 3.97800i | 0.463794 | − | 0.197182i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 21.5781 | + | 9.60718i | 1.06697 | + | 0.475044i | 0.863662 | − | 0.504071i | \(-0.168165\pi\) |
0.203305 | + | 0.979115i | \(0.434832\pi\) | |||||||
\(410\) | 0.219137 | − | 0.243376i | 0.0108224 | − | 0.0120195i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.65895 | − | 1.18384i | 0.130997 | − | 0.0583236i | ||||
\(413\) | −10.0890 | − | 7.33011i | −0.496449 | − | 0.360691i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.0659639 | − | 0.203016i | −0.00323804 | − | 0.00996567i | ||||
\(416\) | 2.07706 | + | 19.7619i | 0.101836 | + | 0.968908i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.51498 | − | 3.03345i | −0.318658 | − | 0.148371i | ||||
\(419\) | −9.06566 | − | 15.7022i | −0.442886 | − | 0.767102i | 0.555016 | − | 0.831840i | \(-0.312712\pi\) |
−0.997902 | + | 0.0647380i | \(0.979379\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.5322 | + | 2.66381i | 0.610783 | + | 0.129826i | 0.502910 | − | 0.864339i | \(-0.332263\pi\) |
0.107873 | + | 0.994165i | \(0.465596\pi\) | |||||||
\(422\) | −1.10403 | + | 3.39785i | −0.0537432 | + | 0.165405i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 18.7427 | + | 13.6174i | 0.910226 | + | 0.661318i | ||||
\(425\) | −4.60399 | − | 5.11325i | −0.223326 | − | 0.248029i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.0052 | − | 5.34507i | −0.580973 | − | 0.258666i | ||||
\(428\) | −2.90904 | − | 5.03861i | −0.140614 | − | 0.243551i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.02700 | − | 6.97496i | 0.194199 | − | 0.336362i | ||||
\(431\) | −5.32265 | + | 3.86713i | −0.256383 | + | 0.186273i | −0.708551 | − | 0.705660i | \(-0.750651\pi\) |
0.452168 | + | 0.891933i | \(0.350651\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.32555 | − | 13.3127i | 0.207873 | − | 0.639767i | −0.791710 | − | 0.610897i | \(-0.790809\pi\) |
0.999583 | − | 0.0288700i | \(-0.00919089\pi\) | |||||||
\(434\) | −5.95778 | + | 2.65257i | −0.285982 | + | 0.127328i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.47753 | + | 2.01451i | −0.453892 | + | 0.0964776i | ||||
\(437\) | 22.1463 | − | 24.5959i | 1.05940 | − | 1.17658i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.5891 | + | 21.8050i | −0.600846 | + | 1.04070i | 0.391848 | + | 0.920030i | \(0.371836\pi\) |
−0.992693 | + | 0.120665i | \(0.961497\pi\) | |||||||
\(440\) | −8.34678 | − | 6.28227i | −0.397917 | − | 0.299495i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.24254 | − | 3.80893i | 0.249362 | − | 0.181172i | ||||
\(443\) | 26.2363 | + | 5.57671i | 1.24653 | + | 0.264957i | 0.783502 | − | 0.621389i | \(-0.213431\pi\) |
0.463024 | + | 0.886346i | \(0.346765\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.41651 | − | 13.4772i | 0.0671490 | − | 0.638880i | ||||
\(446\) | −1.20537 | + | 11.4684i | −0.0570761 | + | 0.543043i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 9.31029 | + | 1.97896i | 0.439870 | + | 0.0934972i | ||||
\(449\) | 11.4685 | − | 8.33234i | 0.541231 | − | 0.393228i | −0.283311 | − | 0.959028i | \(-0.591433\pi\) |
0.824542 | + | 0.565801i | \(0.191433\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.29620 | − | 0.0218838i | −0.0610357 | − | 0.00103047i | ||||
\(452\) | 14.4353 | − | 25.0027i | 0.678981 | − | 1.17603i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.91292 | − | 4.34573i | 0.183642 | − | 0.203955i | ||||
\(455\) | −22.7820 | + | 4.84247i | −1.06804 | + | 0.227019i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 22.5109 | − | 10.0225i | 1.05302 | − | 0.468833i | 0.194118 | − | 0.980978i | \(-0.437816\pi\) |
0.858899 | + | 0.512145i | \(0.171149\pi\) | |||||||
\(458\) | 0.463439 | − | 1.42632i | 0.0216551 | − | 0.0666475i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 18.2162 | − | 13.2348i | 0.849334 | − | 0.617077i | ||||
\(461\) | −13.1227 | + | 22.7292i | −0.611185 | + | 1.05860i | 0.379856 | + | 0.925046i | \(0.375973\pi\) |
−0.991041 | + | 0.133558i | \(0.957360\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.34609 | − | 10.9917i | −0.294928 | − | 0.510830i | 0.680040 | − | 0.733175i | \(-0.261962\pi\) |
−0.974968 | + | 0.222345i | \(0.928629\pi\) | |||||||
\(464\) | −4.03939 | − | 1.79845i | −0.187524 | − | 0.0834910i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 8.05131 | + | 8.94188i | 0.372970 | + | 0.414225i | ||||
\(467\) | −22.4130 | − | 16.2840i | −1.03715 | − | 0.753534i | −0.0674235 | − | 0.997724i | \(-0.521478\pi\) |
−0.969727 | + | 0.244190i | \(0.921478\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.26838 | − | 10.0591i | 0.150920 | − | 0.464484i | ||||
\(470\) | 0.885317 | + | 0.188180i | 0.0408366 | + | 0.00868009i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.37128 | + | 5.83923i | 0.155176 | + | 0.268772i | ||||
\(473\) | −31.2924 | + | 6.10120i | −1.43883 | + | 0.280534i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.961466 | − | 9.14774i | −0.0441151 | − | 0.419727i | ||||
\(476\) | −6.12756 | − | 18.8587i | −0.280856 | − | 0.864386i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.75813 | − | 2.00390i | −0.126154 | − | 0.0916563i | ||||
\(479\) | 14.2716 | − | 6.35412i | 0.652086 | − | 0.290327i | −0.0539074 | − | 0.998546i | \(-0.517168\pi\) |
0.705993 | + | 0.708219i | \(0.250501\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.20070 | + | 9.10780i | −0.373920 | + | 0.415280i | ||||
\(482\) | −3.48191 | − | 1.55025i | −0.158597 | − | 0.0706118i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.37212 | + | 19.3049i | 0.0623689 | + | 0.877494i | ||||
\(485\) | −0.586177 | −0.0266169 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.32090 | + | 25.6091i | 0.377056 | + | 1.16046i | 0.942081 | + | 0.335386i | \(0.108867\pi\) |
−0.565025 | + | 0.825074i | \(0.691133\pi\) | |||||||
\(488\) | 4.75427 | + | 5.28015i | 0.215216 | + | 0.239021i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.405638 | − | 3.85938i | 0.0183248 | − | 0.174349i | ||||
\(491\) | 38.1475 | − | 8.10850i | 1.72157 | − | 0.365932i | 0.762040 | − | 0.647529i | \(-0.224198\pi\) |
0.959533 | + | 0.281598i | \(0.0908644\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.584209 | + | 5.55837i | 0.0263114 | + | 0.250337i | ||||
\(494\) | 8.66283 | 0.389759 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.1922 | −0.457642 | ||||||||
\(497\) | 2.50159 | + | 23.8010i | 0.112212 | + | 1.06762i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 23.5099 | − | 4.99718i | 1.05245 | − | 0.223705i | 0.350963 | − | 0.936389i | \(-0.385854\pi\) |
0.701485 | + | 0.712685i | \(0.252521\pi\) | |||||||
\(500\) | 2.22485 | − | 21.1680i | 0.0994981 | − | 0.946661i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.107378 | − | 0.119255i | −0.00479251 | − | 0.00532262i | ||||
\(503\) | 7.41223 | + | 22.8125i | 0.330495 | + | 1.01716i | 0.968899 | + | 0.247457i | \(0.0795949\pi\) |
−0.638404 | + | 0.769701i | \(0.720405\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.1547 | 0.540876 | ||||||||
\(506\) | 11.8771 | + | 2.73489i | 0.528001 | + | 0.121581i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −17.3507 | − | 7.72504i | −0.769814 | − | 0.342743i | ||||
\(509\) | −2.47502 | + | 2.74879i | −0.109703 | + | 0.121838i | −0.795495 | − | 0.605960i | \(-0.792789\pi\) |
0.685792 | + | 0.727798i | \(0.259456\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −46.8678 | + | 20.8669i | −2.07331 | + | 0.923096i | ||||
\(512\) | −18.3128 | − | 13.3050i | −0.809318 | − | 0.588004i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.08094 | + | 6.40449i | 0.0917865 | + | 0.282490i | ||||
\(515\) | −0.295378 | − | 2.81034i | −0.0130159 | − | 0.123838i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.73877 | − | 3.13260i | −0.0764712 | − | 0.137772i | ||||
\(518\) | −2.56407 | − | 4.44110i | −0.112659 | − | 0.195131i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 12.3176 | + | 2.61818i | 0.540162 | + | 0.114815i | ||||
\(521\) | 1.98178 | − | 6.09929i | 0.0868234 | − | 0.267215i | −0.898213 | − | 0.439560i | \(-0.855134\pi\) |
0.985037 | + | 0.172345i | \(0.0551344\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.21554 | + | 1.60969i | 0.0968790 | + | 0.0703867i | 0.635170 | − | 0.772372i | \(-0.280930\pi\) |
−0.538291 | + | 0.842759i | \(0.680930\pi\) | |||||||
\(524\) | −24.9061 | − | 27.6610i | −1.08803 | − | 1.20838i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.55217 | + | 3.36244i | 0.329290 | + | 0.146609i | ||||
\(527\) | 6.44147 | + | 11.1570i | 0.280595 | + | 0.486005i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.5651 | + | 28.6916i | −0.720222 | + | 1.24746i | ||||
\(530\) | 8.51617 | − | 6.18736i | 0.369919 | − | 0.268762i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8.19149 | − | 25.2108i | 0.355146 | − | 1.09303i | ||||
\(533\) | 1.42759 | − | 0.635602i | 0.0618356 | − | 0.0275310i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.52522 | + | 1.17442i | −0.238876 | + | 0.0507746i | ||||
\(536\) | −3.82644 | + | 4.24969i | −0.165277 | + | 0.183559i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.04042 | − | 5.26617i | 0.131082 | − | 0.227041i | ||||
\(539\) | −12.5784 | + | 8.81819i | −0.541788 | + | 0.379826i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.9114 | + | 12.2869i | −0.727079 | + | 0.528254i | −0.888638 | − | 0.458609i | \(-0.848348\pi\) |
0.161559 | + | 0.986863i | \(0.448348\pi\) | |||||||
\(542\) | −9.24503 | − | 1.96509i | −0.397108 | − | 0.0844080i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.71684 | + | 16.3347i | −0.0736091 | + | 0.700344i | ||||
\(545\) | −0.983309 | + | 9.35556i | −0.0421203 | + | 0.400748i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 40.9613 | + | 8.70658i | 1.75138 | + | 0.372267i | 0.968326 | − | 0.249690i | \(-0.0803288\pi\) |
0.783051 | + | 0.621957i | \(0.213662\pi\) | |||||||
\(548\) | −4.55562 | + | 3.30985i | −0.194606 | + | 0.141390i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.77350 | − | 1.94439i | 0.118263 | − | 0.0829092i | ||||
\(551\) | −3.73576 | + | 6.47053i | −0.159149 | + | 0.275654i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.12636 | + | 10.1358i | −0.388092 | + | 0.431020i | ||||
\(554\) | −4.96620 | + | 1.05560i | −0.210993 | + | 0.0448480i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 24.0994 | − | 10.7297i | 1.02204 | − | 0.455042i | ||||
\(557\) | 3.87025 | − | 11.9114i | 0.163988 | − | 0.504702i | −0.834973 | − | 0.550291i | \(-0.814517\pi\) |
0.998960 | + | 0.0455895i | \(0.0145166\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 31.0911 | − | 22.5890i | 1.31502 | − | 0.955415i | ||||
\(560\) | 7.61538 | − | 13.1902i | 0.321809 | − | 0.557389i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.03083 | − | 6.98160i | −0.170030 | − | 0.294501i | ||||
\(563\) | 13.2544 | + | 5.90124i | 0.558606 | + | 0.248707i | 0.666564 | − | 0.745448i | \(-0.267764\pi\) |
−0.107958 | + | 0.994155i | \(0.534431\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −18.7556 | − | 20.8302i | −0.789056 | − | 0.876335i | ||||
\(566\) | 0.501956 | + | 0.364693i | 0.0210988 | + | 0.0153292i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.99850 | − | 12.3061i | 0.167773 | − | 0.516353i | ||||
\(569\) | −27.3612 | − | 5.81579i | −1.14704 | − | 0.243811i | −0.405096 | − | 0.914274i | \(-0.632762\pi\) |
−0.741943 | + | 0.670463i | \(0.766095\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.52443 | − | 7.83654i | −0.189341 | − | 0.327949i | 0.755689 | − | 0.654930i | \(-0.227302\pi\) |
−0.945031 | + | 0.326981i | \(0.893969\pi\) | |||||||
\(572\) | −11.3219 | − | 20.3977i | −0.473391 | − | 0.852870i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.0683481 | + | 0.650289i | 0.00285280 | + | 0.0271425i | ||||
\(575\) | 4.82046 | + | 14.8359i | 0.201027 | + | 0.618698i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −31.0234 | − | 22.5398i | −1.29152 | − | 0.938346i | −0.291687 | − | 0.956514i | \(-0.594217\pi\) |
−0.999835 | + | 0.0181683i | \(0.994217\pi\) | |||||||
\(578\) | −2.72428 | + | 1.21293i | −0.113315 | + | 0.0504511i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3.40118 | + | 3.77740i | −0.141226 | + | 0.156848i | ||||
\(581\) | 0.389352 | + | 0.173351i | 0.0161530 | + | 0.00719180i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −40.6067 | − | 9.35034i | −1.68176 | − | 0.387252i | ||||
\(584\) | 27.7381 | 1.14781 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.65095 | + | 11.2365i | 0.150819 | + | 0.464175i | ||||
\(587\) | 0.483525 | + | 0.537009i | 0.0199572 | + | 0.0221647i | 0.753041 | − | 0.657974i | \(-0.228586\pi\) |
−0.733084 | + | 0.680139i | \(0.761920\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.80022 | + | 17.1279i | −0.0741767 | + | 0.705744i | ||||
\(590\) | 2.99669 | − | 0.636966i | 0.123372 | − | 0.0262235i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.837737 | − | 7.97054i | −0.0344308 | − | 0.327587i | ||||
\(593\) | 39.6596 | 1.62863 | 0.814313 | − | 0.580426i | \(-0.197114\pi\) | ||||
0.814313 | + | 0.580426i | \(0.197114\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −19.2517 | −0.789244 | ||||||||
\(596\) | −0.745038 | − | 7.08856i | −0.0305179 | − | 0.290359i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −14.3705 | + | 3.05454i | −0.587652 | + | 0.124909i | ||||
\(599\) | −2.12996 | + | 20.2652i | −0.0870276 | + | 0.828013i | 0.860739 | + | 0.509047i | \(0.170002\pi\) |
−0.947766 | + | 0.318965i | \(0.896665\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −32.3670 | − | 35.9472i | −1.32028 | − | 1.46632i | −0.781560 | − | 0.623830i | \(-0.785576\pi\) |
−0.538717 | − | 0.842487i | \(-0.681091\pi\) | |||||||
\(602\) | 4.96914 | + | 15.2935i | 0.202527 | + | 0.623315i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 13.7129 | 0.557968 | ||||||||
\(605\) | 18.2370 | + | 4.52485i | 0.741439 | + | 0.183961i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17.9989 | − | 8.01364i | −0.730554 | − | 0.325264i | 0.00753068 | − | 0.999972i | \(-0.497603\pi\) |
−0.738085 | + | 0.674708i | \(0.764270\pi\) | |||||||
\(608\) | −14.6921 | + | 16.3172i | −0.595842 | + | 0.661750i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.94928 | − | 1.31310i | 0.119413 | − | 0.0531660i | ||||
\(611\) | 3.49397 | + | 2.53852i | 0.141351 | + | 0.102698i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.76690 | + | 5.43796i | 0.0713644 | + | 0.219637i | 0.980377 | − | 0.197131i | \(-0.0631626\pi\) |
−0.909013 | + | 0.416768i | \(0.863163\pi\) | |||||||
\(614\) | −0.835451 | − | 7.94879i | −0.0337161 | − | 0.320787i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 20.4724 | − | 3.99159i | 0.824858 | − | 0.160826i | ||||
\(617\) | 3.05346 | + | 5.28875i | 0.122928 | + | 0.212917i | 0.920921 | − | 0.389749i | \(-0.127438\pi\) |
−0.797993 | + | 0.602666i | \(0.794105\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.74084 | + | 0.370027i | 0.0699704 | + | 0.0148727i | 0.242764 | − | 0.970085i | \(-0.421946\pi\) |
−0.172793 | + | 0.984958i | \(0.555279\pi\) | |||||||
\(620\) | −3.62062 | + | 11.1431i | −0.145408 | + | 0.447519i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.48050 | + | 6.16144i | 0.340037 | + | 0.247051i | ||||
\(623\) | 18.1044 | + | 20.1070i | 0.725337 | + | 0.805568i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.36756 | − | 4.17071i | −0.374702 | − | 0.166828i | ||||
\(626\) | −0.764220 | − | 1.32367i | −0.0305444 | − | 0.0529044i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.271963 | − | 0.471055i | 0.0108525 | − | 0.0187971i | ||||
\(629\) | −8.19556 | + | 5.95442i | −0.326778 | + | 0.237418i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.8566 | + | 42.6461i | −0.551621 | + | 1.69771i | 0.153084 | + | 0.988213i | \(0.451079\pi\) |
−0.704705 | + | 0.709501i | \(0.748921\pi\) | |||||||
\(632\) | 6.73674 | − | 2.99939i | 0.267973 | − | 0.119309i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.76303 | + | 1.86264i | −0.348024 | + | 0.0739748i | ||||
\(635\) | −12.3385 | + | 13.7033i | −0.489639 | + | 0.543799i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.25852 | − | 16.0362i | 0.366836 | − | 0.635379i | ||||
\(638\) | −2.75097 | − | 0.0464448i | −0.108912 | − | 0.00183877i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −15.6290 | + | 11.3552i | −0.617792 | + | 0.448852i | ||||
\(641\) | −26.4193 | − | 5.61560i | −1.04350 | − | 0.221803i | −0.345887 | − | 0.938276i | \(-0.612422\pi\) |
−0.697614 | + | 0.716473i | \(0.745755\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.40317 | − | 32.3790i | 0.134208 | − | 1.27690i | −0.695426 | − | 0.718597i | \(-0.744784\pi\) |
0.829634 | − | 0.558307i | \(-0.188549\pi\) | |||||||
\(644\) | −4.69918 | + | 44.7097i | −0.185174 | + | 1.76181i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.00398 | + | 1.48874i | 0.275568 | + | 0.0585738i | ||||
\(647\) | −25.4705 | + | 18.5054i | −1.00135 | + | 0.727523i | −0.962377 | − | 0.271717i | \(-0.912408\pi\) |
−0.0389724 | + | 0.999240i | \(0.512408\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.68953 | − | 7.29290i | −0.380347 | − | 0.286271i | ||||
\(650\) | −2.04149 | + | 3.53596i | −0.0800736 | + | 0.138692i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −12.9431 | + | 14.3748i | −0.506892 | + | 0.562961i | ||||
\(653\) | −4.55794 | + | 0.968821i | −0.178366 | + | 0.0379129i | −0.296229 | − | 0.955117i | \(-0.595729\pi\) |
0.117863 | + | 0.993030i | \(0.462396\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −33.0133 | + | 14.6985i | −1.28994 | + | 0.574318i | ||||
\(656\) | −0.315782 | + | 0.971878i | −0.0123292 | + | 0.0379455i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.46197 | + | 1.06219i | −0.0569937 | + | 0.0414084i | ||||
\(659\) | −16.0209 | + | 27.7490i | −0.624086 | + | 1.08095i | 0.364631 | + | 0.931152i | \(0.381195\pi\) |
−0.988717 | + | 0.149797i | \(0.952138\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 20.3527 | + | 35.2519i | 0.791627 | + | 1.37114i | 0.924959 | + | 0.380067i | \(0.124099\pi\) |
−0.133331 | + | 0.991072i | \(0.542567\pi\) | |||||||
\(662\) | 1.68757 | + | 0.751356i | 0.0655894 | + | 0.0292023i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.154190 | − | 0.171245i | −0.00598373 | − | 0.00664561i | ||||
\(665\) | −20.8211 | − | 15.1274i | −0.807406 | − | 0.586615i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.91560 | − | 12.0510i | 0.151613 | − | 0.466616i | ||||
\(668\) | 30.2441 | + | 6.42857i | 1.17018 | + | 0.248729i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.29917 | + | 2.25023i | 0.0501914 | + | 0.0869340i | ||||
\(671\) | −11.5853 | − | 5.39424i | −0.447245 | − | 0.208242i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.94736 | + | 37.5567i | 0.152160 | + | 1.44770i | 0.758072 | + | 0.652171i | \(0.226142\pi\) |
−0.605912 | + | 0.795532i | \(0.707192\pi\) | |||||||
\(674\) | 0.904299 | + | 2.78315i | 0.0348323 | + | 0.107203i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.24655 | + | 3.08530i | 0.163329 | + | 0.118665i | ||||
\(677\) | −17.2666 | + | 7.68759i | −0.663610 | + | 0.295458i | −0.710765 | − | 0.703429i | \(-0.751651\pi\) |
0.0471552 | + | 0.998888i | \(0.484984\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.783119 | − | 0.869742i | 0.0300534 | − | 0.0333776i | ||||
\(680\) | 9.50895 | + | 4.23366i | 0.364652 | + | 0.162353i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.83647 | + | 2.48137i | −0.223490 | + | 0.0950167i | ||||
\(683\) | −31.1053 | −1.19021 | −0.595105 | − | 0.803648i | \(-0.702890\pi\) | ||||
−0.595105 | + | 0.803648i | \(0.702890\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.68941 | + | 5.19948i | 0.0645492 | + | 0.198662i | ||||
\(686\) | −2.65099 | − | 2.94423i | −0.101215 | − | 0.112411i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.62692 | + | 24.9935i | −0.100150 | + | 0.952868i | ||||
\(689\) | 49.1314 | − | 10.4432i | 1.87176 | − | 0.397854i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.32172 | − | 22.0897i | −0.0883225 | − | 0.840333i | −0.945568 | − | 0.325425i | \(-0.894493\pi\) |
0.857245 | − | 0.514908i | \(-0.172174\pi\) | |||||||
\(692\) | 21.7565 | 0.827057 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.9432 | −0.453358 | ||||||||
\(695\) | −2.67716 | − | 25.4715i | −0.101551 | − | 0.966189i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.26345 | − | 0.268554i | 0.0478565 | − | 0.0101722i | ||||
\(698\) | −0.858360 | + | 8.16675i | −0.0324894 | + | 0.309116i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 8.36004 | + | 9.28477i | 0.315980 | + | 0.350931i | ||||
\(701\) | 9.25374 | + | 28.4801i | 0.349509 | + | 1.07568i | 0.959125 | + | 0.282981i | \(0.0913235\pi\) |
−0.609616 | + | 0.792697i | \(0.708677\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.5424 | −0.510763 | ||||||||
\(704\) | 9.02018 | + | 2.07704i | 0.339961 | + | 0.0782814i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.59874 | + | 1.60226i | 0.135440 | + | 0.0603020i | ||||
\(707\) | −16.2384 | + | 18.0345i | −0.610707 | + | 0.678258i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.7182 | − | 6.99820i | 0.590310 | − | 0.262823i | −0.0897681 | − | 0.995963i | \(-0.528613\pi\) |
0.680078 | + | 0.733140i | \(0.261946\pi\) | |||||||
\(710\) | −4.75647 | − | 3.45578i | −0.178507 | − | 0.129693i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.52052 | − | 13.9127i | −0.169414 | − | 0.521402i | ||||
\(713\) | −3.05304 | − | 29.0477i | −0.114337 | − | 1.08785i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −22.2311 | + | 4.33449i | −0.831398 | + | 0.162101i | ||||
\(716\) | −19.2500 | − | 33.3420i | −0.719407 | − | 1.24605i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −13.8295 | − | 2.93956i | −0.516114 | − | 0.109703i | ||||
\(719\) | −1.46013 | + | 4.49382i | −0.0544537 | + | 0.167591i | −0.974585 | − | 0.224020i | \(-0.928082\pi\) |
0.920131 | + | 0.391611i | \(0.128082\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.56446 | + | 3.31628i | 0.169989 | + | 0.123505i | ||||
\(722\) | 0.169236 | + | 0.187955i | 0.00629829 | + | 0.00699496i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 7.04028 | + | 3.13454i | 0.261650 | + | 0.116494i | ||||
\(725\) | −1.76074 | − | 3.04969i | −0.0653923 | − | 0.113263i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.60044 | + | 4.50410i | −0.0964450 | + | 0.167048i | −0.910211 | − | 0.414145i | \(-0.864081\pi\) |
0.813766 | + | 0.581193i | \(0.197414\pi\) | |||||||
\(728\) | −20.3408 | + | 14.7784i | −0.753879 | + | 0.547725i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.89468 | − | 11.9866i | 0.144149 | − | 0.443644i | ||||
\(731\) | 29.0195 | − | 12.9203i | 1.07333 | − | 0.477876i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 47.9910 | − | 10.2008i | 1.77259 | − | 0.376775i | 0.798332 | − | 0.602217i | \(-0.205716\pi\) |
0.974257 | + | 0.225442i | \(0.0723826\pi\) | |||||||
\(734\) | 7.33320 | − | 8.14435i | 0.270673 | − | 0.300613i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 18.6187 | − | 32.2485i | 0.686294 | − | 1.18870i | ||||
\(737\) | 3.34308 | − | 9.72706i | 0.123144 | − | 0.358301i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.6160 | − | 9.16603i | 0.464086 | − | 0.337178i | −0.331046 | − | 0.943615i | \(-0.607402\pi\) |
0.795132 | + | 0.606437i | \(0.207402\pi\) | |||||||
\(740\) | −9.01179 | − | 1.91552i | −0.331280 | − | 0.0704157i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.19690 | + | 20.9021i | −0.0806506 | + | 0.767339i | ||||
\(743\) | 1.16387 | − | 11.0734i | 0.0426981 | − | 0.406245i | −0.952209 | − | 0.305448i | \(-0.901194\pi\) |
0.994907 | − | 0.100798i | \(-0.0321395\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.76882 | − | 1.43876i | −0.247990 | − | 0.0527119i | ||||
\(746\) | −2.80897 | + | 2.04083i | −0.102844 | + | 0.0747202i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.64842 | − | 18.4374i | −0.206527 | − | 0.674140i | ||||
\(749\) | 5.63901 | − | 9.76705i | 0.206045 | − | 0.356880i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.41006 | + | 6.00848i | −0.197416 | + | 0.219252i | −0.833722 | − | 0.552184i | \(-0.813795\pi\) |
0.636307 | + | 0.771436i | \(0.280461\pi\) | |||||||
\(752\) | −2.76248 | + | 0.587184i | −0.100737 | + | 0.0214124i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.02981 | − | 1.34896i | 0.110339 | − | 0.0491262i | ||||
\(755\) | 4.11410 | − | 12.6619i | 0.149727 | − | 0.460814i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24.1585 | + | 17.5522i | −0.878056 | + | 0.637945i | −0.932737 | − | 0.360559i | \(-0.882586\pi\) |
0.0546803 | + | 0.998504i | \(0.482586\pi\) | |||||||
\(758\) | 5.97081 | − | 10.3417i | 0.216869 | − | 0.375629i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.95742 | + | 12.0506i | 0.252372 | + | 0.437121i | ||||
\(761\) | −31.8760 | − | 14.1921i | −1.15550 | − | 0.514463i | −0.262685 | − | 0.964882i | \(-0.584608\pi\) |
−0.892817 | + | 0.450419i | \(0.851275\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.5677 | − | 13.9578i | −0.454980 | − | 0.505306i | ||||
\(764\) | −17.8134 | − | 12.9422i | −0.644468 | − | 0.468233i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.67339 | − | 8.22786i | 0.0965936 | − | 0.297284i | ||||
\(767\) | 14.2991 | + | 3.03937i | 0.516312 | + | 0.109745i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.80362 | + | 4.85600i | 0.101101 | + | 0.175112i | 0.912139 | − | 0.409882i | \(-0.134430\pi\) |
−0.811038 | + | 0.584994i | \(0.801097\pi\) | |||||||
\(770\) | 1.14961 | − | 9.40730i | 0.0414291 | − | 0.339016i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.31095 | − | 21.9872i | −0.0831728 | − | 0.791337i | ||||
\(773\) | 3.34979 | + | 10.3096i | 0.120483 | + | 0.370810i | 0.993051 | − | 0.117683i | \(-0.0375467\pi\) |
−0.872568 | + | 0.488493i | \(0.837547\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.56697 | − | 4.77118i | −0.235893 | − | 0.171386i | ||||
\(776\) | −0.578070 | + | 0.257373i | −0.0207515 | + | 0.00923916i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.86928 | − | 6.51849i | 0.210424 | − | 0.233699i | ||||
\(779\) | 1.57746 | + | 0.702332i | 0.0565185 | + | 0.0251636i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.04166 | + | 23.1835i | 0.0730562 | + | 0.829572i | ||||
\(782\) | −12.1436 | −0.434255 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.74186 | + | 11.5163i | 0.133638 | + | 0.411295i | ||||
\(785\) | −0.353359 | − | 0.392445i | −0.0126119 | − | 0.0140070i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.258858 | − | 2.46286i | 0.00922727 | − | 0.0877916i | −0.988939 | − | 0.148322i | \(-0.952613\pi\) |
0.998166 | + | 0.0605308i | \(0.0192793\pi\) | |||||||
\(788\) | 17.8040 | − | 3.78436i | 0.634242 | − | 0.134812i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.350241 | − | 3.33232i | −0.0124610 | − | 0.118559i | ||||
\(791\) | 55.9640 | 1.98985 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.4047 | 0.547037 | ||||||||
\(794\) | 1.12485 | + | 10.7022i | 0.0399195 | + | 0.379808i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 45.5667 | − | 9.68549i | 1.61507 | − | 0.343293i | ||||
\(797\) | −1.01180 | + | 9.62666i | −0.0358399 | + | 0.340994i | 0.961878 | + | 0.273478i | \(0.0881740\pi\) |
−0.997718 | + | 0.0675160i | \(0.978493\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.38866 | + | 2.65287i | 0.0845047 | + | 0.0938520i | ||||
\(800\) | −3.19795 | − | 9.84226i | −0.113064 | − | 0.347977i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −2.65237 | −0.0936586 | ||||||||
\(803\) | −45.9135 | + | 19.5201i | −1.62025 | + | 0.688850i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 39.8733 | + | 17.7527i | 1.40535 | + | 0.625702i | ||||
\(806\) | 5.11539 | − | 5.68121i | 0.180182 | − | 0.200112i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.9866 | − | 5.33676i | 0.421686 | − | 0.187747i | ||||
\(809\) | −6.36318 | − | 4.62312i | −0.223717 | − | 0.162540i | 0.470281 | − | 0.882517i | \(-0.344153\pi\) |
−0.693998 | + | 0.719976i | \(0.744153\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.2076 | + | 37.5712i | 0.428668 | + | 1.31930i | 0.899438 | + | 0.437048i | \(0.143976\pi\) |
−0.470770 | + | 0.882256i | \(0.656024\pi\) | |||||||
\(812\) | −1.06082 | − | 10.0930i | −0.0372275 | − | 0.354196i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.42022 | − | 4.36030i | −0.0848286 | − | 0.152829i | ||||
\(815\) | 9.38994 | + | 16.2639i | 0.328915 | + | 0.569698i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 41.5375 | + | 8.82907i | 1.45321 | + | 0.308890i | ||||
\(818\) | 3.58013 | − | 11.0185i | 0.125176 | − | 0.385253i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.950378 | + | 0.690490i | 0.0331886 | + | 0.0241130i | ||||
\(821\) | 2.24401 | + | 2.49222i | 0.0783165 | + | 0.0869792i | 0.781029 | − | 0.624494i | \(-0.214695\pi\) |
−0.702713 | + | 0.711473i | \(0.748028\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.7097 | + | 6.54920i | 0.512749 | + | 0.228291i | 0.646766 | − | 0.762688i | \(-0.276121\pi\) |
−0.134017 | + | 0.990979i | \(0.542788\pi\) | |||||||
\(824\) | −1.52523 | − | 2.64177i | −0.0531339 | − | 0.0920306i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.05841 | + | 5.29732i | −0.106416 | + | 0.184317i | ||||
\(827\) | 12.3703 | − | 8.98751i | 0.430156 | − | 0.312526i | −0.351555 | − | 0.936167i | \(-0.614347\pi\) |
0.781711 | + | 0.623641i | \(0.214347\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.0239 | + | 40.0835i | −0.452340 | + | 1.39216i | 0.421890 | + | 0.906647i | \(0.361367\pi\) |
−0.874230 | + | 0.485512i | \(0.838633\pi\) | |||||||
\(830\) | −0.0956507 | + | 0.0425864i | −0.00332008 | + | 0.00147820i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −10.9138 | + | 2.31980i | −0.378369 | + | 0.0804247i | ||||
\(833\) | 10.2415 | − | 11.3743i | 0.354847 | − | 0.394098i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.0096 | − | 25.9975i | 0.519430 | − | 0.899679i | ||||
\(836\) | 8.37869 | − | 24.3788i | 0.289783 | − | 0.843157i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.19483 | + | 5.22735i | −0.248541 | + | 0.180576i | ||||
\(839\) | 2.58954 | + | 0.550423i | 0.0894008 | + | 0.0190027i | 0.252395 | − | 0.967624i | \(-0.418782\pi\) |
−0.162994 | + | 0.986627i | \(0.552115\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.73233 | − | 25.9963i | 0.0942181 | − | 0.896426i | ||||
\(842\) | 0.656889 | − | 6.24988i | 0.0226379 | − | 0.215385i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.5354 | − | 2.66447i | −0.431485 | − | 0.0917150i | ||||
\(845\) | 4.12288 | − | 2.99545i | 0.141831 | − | 0.103047i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −31.0780 | + | 21.0141i | −1.06785 | + | 0.722053i | ||||
\(848\) | −16.4232 | + | 28.4458i | −0.563976 | + | 0.976834i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.25823 | + | 2.50802i | −0.0774567 | + | 0.0860244i | ||||
\(851\) | 22.4651 | − | 4.77510i | 0.770093 | − | 0.163688i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.46891 | − | 3.77060i | 0.289970 | − | 0.129103i | −0.256597 | − | 0.966519i | \(-0.582601\pi\) |
0.546567 | + | 0.837416i | \(0.315935\pi\) | |||||||
\(854\) | −1.99185 | + | 6.13027i | −0.0681596 | + | 0.209774i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.93314 | + | 3.58414i | −0.168611 | + | 0.122503i | ||||
\(857\) | −10.2678 | + | 17.7844i | −0.350742 | + | 0.607502i | −0.986380 | − | 0.164485i | \(-0.947404\pi\) |
0.635638 | + | 0.771987i | \(0.280737\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −18.0139 | − | 31.2010i | −0.614626 | − | 1.06456i | −0.990450 | − | 0.137872i | \(-0.955974\pi\) |
0.375824 | − | 0.926691i | \(-0.377360\pi\) | |||||||
\(860\) | 26.3922 | + | 11.7506i | 0.899968 | + | 0.400691i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.15931 | + | 2.39816i | 0.0735464 | + | 0.0816815i | ||||
\(863\) | 3.49209 | + | 2.53715i | 0.118872 | + | 0.0863656i | 0.645633 | − | 0.763648i | \(-0.276594\pi\) |
−0.526761 | + | 0.850014i | \(0.676594\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.52733 | − | 20.0890i | 0.221936 | − | 0.683048i | ||||
\(866\) | −6.71579 | − | 1.42749i | −0.228212 | − | 0.0485079i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −11.6966 | − | 20.2591i | −0.397008 | − | 0.687637i | ||||
\(869\) | −9.04022 | + | 9.70557i | −0.306668 | + | 0.329239i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.29598 | + | 12.3304i | 0.0439127 | + | 0.417801i | ||||
\(872\) | 3.13804 | + | 9.65790i | 0.106268 | + | 0.327058i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −13.1335 | − | 9.54206i | −0.444248 | − | 0.322765i | ||||
\(875\) | 37.6919 | − | 16.7815i | 1.27422 | − | 0.567319i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 20.8207 | − | 23.1237i | 0.703064 | − | 0.780832i | −0.280797 | − | 0.959767i | \(-0.590599\pi\) |
0.983861 | + | 0.178935i | \(0.0572653\pi\) | |||||||
\(878\) | 11.2821 | + | 5.02310i | 0.380752 | + | 0.169522i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 7.62119 | − | 12.7002i | 0.256910 | − | 0.428125i | ||||
\(881\) | −43.9267 | −1.47993 | −0.739964 | − | 0.672647i | \(-0.765157\pi\) | ||||
−0.739964 | + | 0.672647i | \(0.765157\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.81685 | − | 5.59170i | −0.0611420 | − | 0.188176i | 0.915820 | − | 0.401589i | \(-0.131542\pi\) |
−0.976962 | + | 0.213413i | \(0.931542\pi\) | |||||||
\(884\) | 15.5535 | + | 17.2740i | 0.523122 | + | 0.580986i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.37520 | − | 13.0842i | 0.0462009 | − | 0.439572i | ||||
\(887\) | −7.52695 | + | 1.59990i | −0.252730 | + | 0.0537195i | −0.332534 | − | 0.943091i | \(-0.607904\pi\) |
0.0798043 | + | 0.996811i | \(0.474570\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.84835 | − | 36.6146i | −0.129070 | − | 1.22801i | ||||
\(890\) | −6.64689 | −0.222804 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −41.3640 | −1.38497 | ||||||||
\(893\) | 0.498831 | + | 4.74606i | 0.0166927 | + | 0.158821i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −36.5620 | + | 7.77150i | −1.22213 | + | 0.259773i | ||||
\(896\) | 4.03178 | − | 38.3598i | 0.134692 | − | 1.28151i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.65257 | − | 5.16720i | −0.155258 | − | 0.172432i | ||||
\(899\) | 2.03751 | + | 6.27081i | 0.0679547 | + | 0.209143i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 41.5180 | 1.38316 | ||||||||
\(902\) | 0.0557818 | + | 0.633417i | 0.00185733 | + | 0.0210905i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −27.6422 | − | 12.3071i | −0.919365 | − | 0.409328i | ||||
\(905\) | 5.00651 | − | 5.56030i | 0.166422 | − | 0.184830i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.3487 | + | 7.72415i | −0.576055 | + | 0.256476i | −0.674019 | − | 0.738714i | \(-0.735434\pi\) |
0.0979642 | + | 0.995190i | \(0.468767\pi\) | |||||||
\(908\) | 16.9700 | + | 12.3294i | 0.563170 | + | 0.409167i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.53024 | + | 10.8650i | 0.117026 | + | 0.360170i | ||||
\(911\) | 5.23011 | + | 49.7612i | 0.173281 | + | 1.64866i | 0.643015 | + | 0.765853i | \(0.277683\pi\) |
−0.469734 | + | 0.882808i | \(0.655650\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.375733 | + | 0.174946i | 0.0124349 | + | 0.00578985i | ||||
\(914\) | −6.04320 | − | 10.4671i | −0.199891 | − | 0.346222i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.26198 | + | 1.11847i | 0.173861 | + | 0.0369552i | ||||
\(917\) | 22.2961 | − | 68.6205i | 0.736284 | − | 2.26605i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.48708 | − | 1.80697i | −0.0820411 | − | 0.0596063i | 0.546009 | − | 0.837780i | \(-0.316147\pi\) |
−0.628050 | + | 0.778173i | \(0.716147\pi\) | |||||||
\(920\) | −15.7905 | − | 17.5371i | −0.520598 | − | 0.578182i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 11.7603 | + | 5.23600i | 0.387303 | + | 0.172439i | ||||
\(923\) | −14.0270 | − | 24.2955i | −0.461705 | − | 0.799696i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.19142 | − | 5.52769i | 0.104933 | − | 0.181749i | ||||
\(926\) | −5.03648 | + | 3.65922i | −0.165509 | + | 0.120249i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.59765 | + | 7.99474i | −0.0852720 | + | 0.262440i | ||||
\(929\) | 0.827283 | − | 0.368330i | 0.0271423 | − | 0.0120845i | −0.393121 | − | 0.919487i | \(-0.628605\pi\) |
0.420263 | + | 0.907402i | \(0.361938\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 20.0140 | − | 4.25410i | 0.655931 | − | 0.139422i | ||||
\(932\) | −28.8803 | + | 32.0748i | −0.946004 | + | 1.05064i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.79433 | + | 11.7681i | −0.222317 | + | 0.385065i | ||||
\(935\) | −18.7190 | − | 0.316034i | −0.612177 | − | 0.0103354i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 17.8423 | − | 12.9632i | 0.582881 | − | 0.423488i | −0.256881 | − | 0.966443i | \(-0.582695\pi\) |
0.839762 | + | 0.542955i | \(0.182695\pi\) | |||||||
\(938\) | −5.07445 | − | 1.07861i | −0.165687 | − | 0.0352178i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.339362 | + | 3.22882i | −0.0110688 | + | 0.105312i | ||||
\(941\) | 0.570822 | − | 5.43101i | 0.0186083 | − | 0.177046i | −0.981270 | − | 0.192636i | \(-0.938296\pi\) |
0.999878 | + | 0.0155906i | \(0.00496286\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.86444 | − | 0.608856i | −0.0932791 | − | 0.0198271i | ||||
\(944\) | −7.73386 | + | 5.61898i | −0.251716 | + | 0.182882i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.58059 | + | 14.9519i | 0.148928 | + | 0.486127i | ||||
\(947\) | 16.2203 | − | 28.0944i | 0.527089 | − | 0.912945i | −0.472412 | − | 0.881378i | \(-0.656617\pi\) |
0.999502 | − | 0.0315677i | \(-0.0100500\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 40.2410 | − | 44.6921i | 1.30628 | − | 1.45077i | ||||
\(950\) | −4.41304 | + | 0.938020i | −0.143178 | + | 0.0304334i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −18.9854 | + | 8.45287i | −0.615322 | + | 0.273959i | ||||
\(953\) | 16.6278 | − | 51.1752i | 0.538628 | − | 1.65773i | −0.197049 | − | 0.980394i | \(-0.563136\pi\) |
0.735677 | − | 0.677333i | \(-0.236864\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.2947 | + | 12.5653i | −0.559642 | + | 0.406604i | ||||
\(956\) | 6.11452 | − | 10.5907i | 0.197758 | − | 0.342527i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.83130 | − | 6.63600i | −0.123784 | − | 0.214400i | ||||
\(959\) | −9.97177 | − | 4.43972i | −0.322005 | − | 0.143366i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −10.5733 | − | 11.7429i | −0.341075 | − | 0.378802i | ||||
\(962\) | 4.86330 | + | 3.53339i | 0.156799 | + | 0.113921i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.22478 | − | 13.0025i | 0.136071 | − | 0.418784i | ||||
\(965\) | −20.9954 | − | 4.46271i | −0.675866 | − | 0.143660i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 14.4075 | + | 24.9546i | 0.463315 | + | 0.802486i | 0.999124 | − | 0.0418540i | \(-0.0133264\pi\) |
−0.535809 | + | 0.844340i | \(0.679993\pi\) | |||||||
\(968\) | 19.9715 | − | 3.54507i | 0.641908 | − | 0.113943i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.0300537 | + | 0.285941i | 0.000964965 | + | 0.00918102i | ||||
\(971\) | −1.66685 | − | 5.13005i | −0.0534919 | − | 0.164631i | 0.920742 | − | 0.390173i | \(-0.127585\pi\) |
−0.974233 | + | 0.225542i | \(0.927585\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 41.3700 | + | 30.0571i | 1.32626 | + | 0.963586i | ||||
\(974\) | 12.0657 | − | 5.37199i | 0.386609 | − | 0.172130i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −6.74058 | + | 7.48618i | −0.215761 | + | 0.239627i | ||||
\(977\) | 3.02599 | + | 1.34726i | 0.0968100 | + | 0.0431026i | 0.454570 | − | 0.890711i | \(-0.349793\pi\) |
−0.357760 | + | 0.933813i | \(0.616460\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 17.2734 | + | 19.8478i | 0.552059 | + | 0.634338i | ||||
\(980\) | 13.9200 | 0.444657 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −5.91123 | − | 18.1929i | −0.188635 | − | 0.580559i | ||||
\(983\) | −22.6649 | − | 25.1719i | −0.722897 | − | 0.802859i | 0.263946 | − | 0.964537i | \(-0.414976\pi\) |
−0.986843 | + | 0.161679i | \(0.948309\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.84719 | − | 17.5749i | 0.0588565 | − | 0.559982i | ||||
\(986\) | 2.68146 | − | 0.569962i | 0.0853951 | − | 0.0181513i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.24810 | + | 30.9036i | 0.103336 | + | 0.983174i | ||||
\(989\) | −72.0183 | −2.29005 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.66640 | 0.275297 | 0.137649 | − | 0.990481i | \(-0.456046\pi\) | ||||
0.137649 | + | 0.990481i | \(0.456046\pi\) | |||||||
\(992\) | 2.02542 | + | 19.2706i | 0.0643071 | + | 0.611841i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 11.4821 | − | 2.44059i | 0.364189 | − | 0.0774107i | ||||
\(995\) | 4.72761 | − | 44.9802i | 0.149875 | − | 1.42597i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −20.2515 | − | 22.4916i | −0.641372 | − | 0.712316i | 0.331553 | − | 0.943437i | \(-0.392427\pi\) |
−0.972925 | + | 0.231121i | \(0.925761\pi\) | |||||||
\(998\) | −3.64303 | − | 11.2121i | −0.115318 | − | 0.354912i | ||||
\(999\) | 0 | 0 |
(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 | 297.2.n.b.289.5 | 72 | ||
3.2 | odd | 2 | 99.2.m.b.25.5 | yes | 72 | ||
9.2 | odd | 6 | 891.2.f.f.487.5 | 36 | |||
9.4 | even | 3 | inner | 297.2.n.b.91.5 | 72 | ||
9.5 | odd | 6 | 99.2.m.b.58.5 | yes | 72 | ||
9.7 | even | 3 | 891.2.f.e.487.5 | 36 | |||
11.4 | even | 5 | inner | 297.2.n.b.235.5 | 72 | ||
33.2 | even | 10 | 1089.2.e.o.727.9 | 36 | |||
33.20 | odd | 10 | 1089.2.e.p.727.10 | 36 | |||
33.26 | odd | 10 | 99.2.m.b.70.5 | yes | 72 | ||
99.2 | even | 30 | 9801.2.a.co.1.10 | 18 | |||
99.4 | even | 15 | inner | 297.2.n.b.37.5 | 72 | ||
99.20 | odd | 30 | 9801.2.a.cm.1.9 | 18 | |||
99.59 | odd | 30 | 99.2.m.b.4.5 | ✓ | 72 | ||
99.68 | even | 30 | 1089.2.e.o.364.9 | 36 | |||
99.70 | even | 15 | 891.2.f.e.730.5 | 36 | |||
99.79 | odd | 30 | 9801.2.a.cn.1.9 | 18 | |||
99.86 | odd | 30 | 1089.2.e.p.364.10 | 36 | |||
99.92 | odd | 30 | 891.2.f.f.730.5 | 36 | |||
99.97 | even | 15 | 9801.2.a.cp.1.10 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.5 | ✓ | 72 | 99.59 | odd | 30 | ||
99.2.m.b.25.5 | yes | 72 | 3.2 | odd | 2 | ||
99.2.m.b.58.5 | yes | 72 | 9.5 | odd | 6 | ||
99.2.m.b.70.5 | yes | 72 | 33.26 | odd | 10 | ||
297.2.n.b.37.5 | 72 | 99.4 | even | 15 | inner | ||
297.2.n.b.91.5 | 72 | 9.4 | even | 3 | inner | ||
297.2.n.b.235.5 | 72 | 11.4 | even | 5 | inner | ||
297.2.n.b.289.5 | 72 | 1.1 | even | 1 | trivial | ||
891.2.f.e.487.5 | 36 | 9.7 | even | 3 | |||
891.2.f.e.730.5 | 36 | 99.70 | even | 15 | |||
891.2.f.f.487.5 | 36 | 9.2 | odd | 6 | |||
891.2.f.f.730.5 | 36 | 99.92 | odd | 30 | |||
1089.2.e.o.364.9 | 36 | 99.68 | even | 30 | |||
1089.2.e.o.727.9 | 36 | 33.2 | even | 10 | |||
1089.2.e.p.364.10 | 36 | 99.86 | odd | 30 | |||
1089.2.e.p.727.10 | 36 | 33.20 | odd | 10 | |||
9801.2.a.cm.1.9 | 18 | 99.20 | odd | 30 | |||
9801.2.a.cn.1.9 | 18 | 99.79 | odd | 30 | |||
9801.2.a.co.1.10 | 18 | 99.2 | even | 30 | |||
9801.2.a.cp.1.10 | 18 | 99.97 | even | 15 |