Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(4,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bo (of order \(30\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 319.29 | ||
Character | \(\chi\) | \(=\) | 525.319 |
Dual form | 525.2.bo.a.79.29 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06343 | + | 0.957521i | 0.751962 | + | 0.677069i | 0.953155 | − | 0.302482i | \(-0.0978153\pi\) |
−0.201193 | + | 0.979552i | \(0.564482\pi\) | |||||||
\(3\) | −0.994522 | + | 0.104528i | −0.574187 | + | 0.0603495i | ||||
\(4\) | 0.00498998 | + | 0.0474765i | 0.00249499 | + | 0.0237383i | ||||
\(5\) | −1.89948 | + | 1.17983i | −0.849471 | + | 0.527635i | ||||
\(6\) | −1.15770 | − | 0.841116i | −0.472628 | − | 0.343384i | ||||
\(7\) | 1.17585 | − | 2.37010i | 0.444429 | − | 0.895814i | ||||
\(8\) | 1.64208 | − | 2.26013i | 0.580563 | − | 0.799076i | ||||
\(9\) | 0.978148 | − | 0.207912i | 0.326049 | − | 0.0693039i | ||||
\(10\) | −3.14968 | − | 0.564117i | −0.996015 | − | 0.178389i | ||||
\(11\) | 2.22071 | + | 0.472025i | 0.669568 | + | 0.142321i | 0.530139 | − | 0.847911i | \(-0.322140\pi\) |
0.139429 | + | 0.990232i | \(0.455473\pi\) | |||||||
\(12\) | −0.00992529 | − | 0.0466948i | −0.00286519 | − | 0.0134796i | ||||
\(13\) | 3.31372 | + | 1.07669i | 0.919060 | + | 0.298621i | 0.730081 | − | 0.683361i | \(-0.239482\pi\) |
0.188979 | + | 0.981981i | \(0.439482\pi\) | |||||||
\(14\) | 3.51986 | − | 1.39455i | 0.940722 | − | 0.372709i | ||||
\(15\) | 1.76574 | − | 1.37191i | 0.455913 | − | 0.354227i | ||||
\(16\) | 4.00375 | − | 0.851024i | 1.00094 | − | 0.212756i | ||||
\(17\) | −0.282535 | − | 0.634585i | −0.0685249 | − | 0.153909i | 0.876036 | − | 0.482246i | \(-0.160179\pi\) |
−0.944561 | + | 0.328336i | \(0.893512\pi\) | |||||||
\(18\) | 1.23928 | + | 0.715496i | 0.292100 | + | 0.168644i | ||||
\(19\) | 0.246793 | − | 2.34808i | 0.0566183 | − | 0.538687i | −0.929045 | − | 0.369966i | \(-0.879369\pi\) |
0.985664 | − | 0.168722i | \(-0.0539639\pi\) | |||||||
\(20\) | −0.0654925 | − | 0.0842931i | −0.0146446 | − | 0.0188485i | ||||
\(21\) | −0.921663 | + | 2.48003i | −0.201123 | + | 0.541186i | ||||
\(22\) | 1.90960 | + | 2.62834i | 0.407128 | + | 0.560364i | ||||
\(23\) | 5.40150 | + | 4.86353i | 1.12629 | + | 1.01412i | 0.999755 | + | 0.0221537i | \(0.00705232\pi\) |
0.126535 | + | 0.991962i | \(0.459614\pi\) | |||||||
\(24\) | −1.39684 | + | 2.41939i | −0.285128 | + | 0.493856i | ||||
\(25\) | 2.21601 | − | 4.48211i | 0.443202 | − | 0.896422i | ||||
\(26\) | 2.49297 | + | 4.31794i | 0.488911 | + | 0.846818i | ||||
\(27\) | −0.951057 | + | 0.309017i | −0.183031 | + | 0.0594703i | ||||
\(28\) | 0.118392 | + | 0.0439984i | 0.0223739 | + | 0.00831491i | ||||
\(29\) | 1.49065 | − | 1.08302i | 0.276807 | − | 0.201112i | −0.440716 | − | 0.897646i | \(-0.645276\pi\) |
0.717524 | + | 0.696534i | \(0.245276\pi\) | |||||||
\(30\) | 3.19139 | + | 0.231796i | 0.582665 | + | 0.0423199i | ||||
\(31\) | −1.13100 | + | 0.503554i | −0.203134 | + | 0.0904410i | −0.505782 | − | 0.862661i | \(-0.668796\pi\) |
0.302648 | + | 0.953102i | \(0.402129\pi\) | |||||||
\(32\) | 0.233818 | + | 0.134995i | 0.0413336 | + | 0.0238640i | ||||
\(33\) | −2.25788 | − | 0.237313i | −0.393046 | − | 0.0413108i | ||||
\(34\) | 0.307170 | − | 0.945372i | 0.0526792 | − | 0.162130i | ||||
\(35\) | 0.562820 | + | 5.88925i | 0.0951339 | + | 0.995464i | ||||
\(36\) | 0.0147519 | + | 0.0454016i | 0.00245864 | + | 0.00756693i | ||||
\(37\) | −2.07085 | − | 9.74258i | −0.340446 | − | 1.60167i | −0.731859 | − | 0.681456i | \(-0.761347\pi\) |
0.391413 | − | 0.920215i | \(-0.371986\pi\) | |||||||
\(38\) | 2.51079 | − | 2.26072i | 0.407303 | − | 0.366738i | ||||
\(39\) | −3.40811 | − | 0.724416i | −0.545734 | − | 0.115999i | ||||
\(40\) | −0.452526 | + | 6.23043i | −0.0715506 | + | 0.985117i | ||||
\(41\) | −0.639768 | + | 1.96900i | −0.0999150 | + | 0.307507i | −0.988503 | − | 0.151199i | \(-0.951687\pi\) |
0.888588 | + | 0.458705i | \(0.151687\pi\) | |||||||
\(42\) | −3.35481 | + | 1.75484i | −0.517658 | + | 0.270777i | ||||
\(43\) | 6.14154i | 0.936576i | 0.883576 | + | 0.468288i | \(0.155129\pi\) | ||||
−0.883576 | + | 0.468288i | \(0.844871\pi\) | |||||||
\(44\) | −0.0113288 | + | 0.107787i | −0.00170789 | + | 0.0162495i | ||||
\(45\) | −1.61267 | + | 1.54897i | −0.240402 | + | 0.230907i | ||||
\(46\) | 1.08721 | + | 10.3441i | 0.160300 | + | 1.52515i | ||||
\(47\) | −1.15264 | + | 2.58886i | −0.168129 | + | 0.377624i | −0.977885 | − | 0.209143i | \(-0.932933\pi\) |
0.809756 | + | 0.586767i | \(0.199599\pi\) | |||||||
\(48\) | −3.89286 | + | 1.26487i | −0.561886 | + | 0.182568i | ||||
\(49\) | −4.23477 | − | 5.57376i | −0.604967 | − | 0.796251i | ||||
\(50\) | 6.64829 | − | 2.64455i | 0.940211 | − | 0.373996i | ||||
\(51\) | 0.347320 | + | 0.601575i | 0.0486345 | + | 0.0842374i | ||||
\(52\) | −0.0345822 | + | 0.162696i | −0.00479569 | + | 0.0225619i | ||||
\(53\) | 5.07639 | − | 0.533550i | 0.697296 | − | 0.0732887i | 0.250753 | − | 0.968051i | \(-0.419322\pi\) |
0.446543 | + | 0.894762i | \(0.352655\pi\) | |||||||
\(54\) | −1.30728 | − | 0.582037i | −0.177898 | − | 0.0792052i | ||||
\(55\) | −4.77508 | + | 1.72345i | −0.643872 | + | 0.232390i | ||||
\(56\) | −3.42590 | − | 6.54946i | −0.457805 | − | 0.875208i | ||||
\(57\) | 2.36102i | 0.312724i | ||||||||
\(58\) | 2.62223 | + | 0.275607i | 0.344315 | + | 0.0361890i | ||||
\(59\) | −4.07665 | − | 4.52757i | −0.530734 | − | 0.589440i | 0.416839 | − | 0.908981i | \(-0.363138\pi\) |
−0.947573 | + | 0.319541i | \(0.896471\pi\) | |||||||
\(60\) | 0.0739447 | + | 0.0769855i | 0.00954622 | + | 0.00993879i | ||||
\(61\) | 7.14017 | − | 7.92996i | 0.914205 | − | 1.01533i | −0.0856149 | − | 0.996328i | \(-0.527285\pi\) |
0.999820 | − | 0.0189988i | \(-0.00604787\pi\) | |||||||
\(62\) | −1.68491 | − | 0.547460i | −0.213984 | − | 0.0695275i | ||||
\(63\) | 0.657380 | − | 2.56278i | 0.0828221 | − | 0.322880i | ||||
\(64\) | −2.41035 | − | 7.41828i | −0.301293 | − | 0.927285i | ||||
\(65\) | −7.56464 | + | 1.86447i | −0.938278 | + | 0.231259i | ||||
\(66\) | −2.17388 | − | 2.41433i | −0.267586 | − | 0.297184i | ||||
\(67\) | 1.82245 | + | 4.09328i | 0.222647 | + | 0.500074i | 0.989986 | − | 0.141169i | \(-0.0450860\pi\) |
−0.767338 | + | 0.641242i | \(0.778419\pi\) | |||||||
\(68\) | 0.0287180 | − | 0.0165804i | 0.00348257 | − | 0.00201066i | ||||
\(69\) | −5.88028 | − | 4.27228i | −0.707903 | − | 0.514322i | ||||
\(70\) | −5.04055 | + | 6.80174i | −0.602461 | + | 0.812963i | ||||
\(71\) | −6.14939 | + | 4.46780i | −0.729799 | + | 0.530230i | −0.889500 | − | 0.456936i | \(-0.848947\pi\) |
0.159701 | + | 0.987165i | \(0.448947\pi\) | |||||||
\(72\) | 1.13629 | − | 2.55215i | 0.133913 | − | 0.300773i | ||||
\(73\) | −0.403903 | + | 1.90022i | −0.0472733 | + | 0.222403i | −0.995443 | − | 0.0953620i | \(-0.969599\pi\) |
0.948169 | + | 0.317765i | \(0.102932\pi\) | |||||||
\(74\) | 7.12651 | − | 12.3435i | 0.828440 | − | 1.43490i | ||||
\(75\) | −1.73536 | + | 4.68919i | −0.200383 | + | 0.541461i | ||||
\(76\) | 0.112710 | 0.0129288 | ||||||||
\(77\) | 3.72996 | − | 4.70827i | 0.425068 | − | 0.536557i | ||||
\(78\) | −2.93066 | − | 4.03370i | −0.331832 | − | 0.456727i | ||||
\(79\) | −14.8877 | − | 6.62844i | −1.67500 | − | 0.745758i | −0.999968 | − | 0.00796987i | \(-0.997463\pi\) |
−0.675032 | − | 0.737788i | \(-0.735870\pi\) | |||||||
\(80\) | −6.60096 | + | 6.34024i | −0.738010 | + | 0.708860i | ||||
\(81\) | 0.913545 | − | 0.406737i | 0.101505 | − | 0.0451930i | ||||
\(82\) | −2.56571 | + | 1.48132i | −0.283336 | + | 0.163584i | ||||
\(83\) | 3.09416 | − | 4.25875i | 0.339629 | − | 0.467459i | −0.604704 | − | 0.796450i | \(-0.706709\pi\) |
0.944333 | + | 0.328991i | \(0.106709\pi\) | |||||||
\(84\) | −0.122342 | − | 0.0313820i | −0.0133486 | − | 0.00342406i | ||||
\(85\) | 1.28537 | + | 0.872035i | 0.139418 | + | 0.0945855i | ||||
\(86\) | −5.88065 | + | 6.53112i | −0.634126 | + | 0.704269i | ||||
\(87\) | −1.36928 | + | 1.23290i | −0.146802 | + | 0.132181i | ||||
\(88\) | 4.71341 | − | 4.24397i | 0.502451 | − | 0.452409i | ||||
\(89\) | −10.7406 | + | 11.9286i | −1.13850 | + | 1.26443i | −0.178649 | + | 0.983913i | \(0.557173\pi\) |
−0.959849 | + | 0.280517i | \(0.909494\pi\) | |||||||
\(90\) | −3.19814 | + | 0.103065i | −0.337113 | + | 0.0108640i | ||||
\(91\) | 6.44830 | − | 6.58782i | 0.675965 | − | 0.690591i | ||||
\(92\) | −0.203950 | + | 0.280713i | −0.0212633 | + | 0.0292664i | ||||
\(93\) | 1.07217 | − | 0.619018i | 0.111179 | − | 0.0641891i | ||||
\(94\) | −3.70464 | + | 1.64941i | −0.382104 | + | 0.170124i | ||||
\(95\) | 2.30156 | + | 4.75130i | 0.236135 | + | 0.487473i | ||||
\(96\) | −0.246648 | − | 0.109815i | −0.0251734 | − | 0.0112079i | ||||
\(97\) | 11.1431 | + | 15.3371i | 1.13141 | + | 1.55725i | 0.785366 | + | 0.619032i | \(0.212475\pi\) |
0.346043 | + | 0.938219i | \(0.387525\pi\) | |||||||
\(98\) | 0.833590 | − | 9.98220i | 0.0842053 | − | 1.00835i | ||||
\(99\) | 2.27032 | 0.228175 | ||||||||
\(100\) | 0.223853 | + | 0.0828428i | 0.0223853 | + | 0.00828428i | ||||
\(101\) | −5.40372 | + | 9.35952i | −0.537690 | + | 0.931307i | 0.461337 | + | 0.887225i | \(0.347370\pi\) |
−0.999028 | + | 0.0440824i | \(0.985964\pi\) | |||||||
\(102\) | −0.206669 | + | 0.972302i | −0.0204633 | + | 0.0962722i | ||||
\(103\) | −6.45726 | + | 14.5032i | −0.636252 | + | 1.42905i | 0.251103 | + | 0.967960i | \(0.419207\pi\) |
−0.887356 | + | 0.461086i | \(0.847460\pi\) | |||||||
\(104\) | 7.87485 | − | 5.72141i | 0.772192 | − | 0.561030i | ||||
\(105\) | −1.17533 | − | 5.79815i | −0.114701 | − | 0.565842i | ||||
\(106\) | 5.90929 | + | 4.29335i | 0.573961 | + | 0.417007i | ||||
\(107\) | 5.93093 | − | 3.42423i | 0.573365 | − | 0.331032i | −0.185127 | − | 0.982715i | \(-0.559270\pi\) |
0.758492 | + | 0.651682i | \(0.225936\pi\) | |||||||
\(108\) | −0.0194168 | − | 0.0436109i | −0.00186838 | − | 0.00419646i | ||||
\(109\) | −0.0762478 | − | 0.0846817i | −0.00730321 | − | 0.00811104i | 0.739482 | − | 0.673176i | \(-0.235070\pi\) |
−0.746785 | + | 0.665065i | \(0.768404\pi\) | |||||||
\(110\) | −6.72823 | − | 2.73946i | −0.641511 | − | 0.261198i | ||||
\(111\) | 3.07788 | + | 9.47275i | 0.292140 | + | 0.899114i | ||||
\(112\) | 2.69079 | − | 10.4900i | 0.254255 | − | 0.991209i | ||||
\(113\) | 16.4922 | + | 5.35864i | 1.55145 | + | 0.504098i | 0.954509 | − | 0.298183i | \(-0.0963807\pi\) |
0.596946 | + | 0.802281i | \(0.296381\pi\) | |||||||
\(114\) | −2.26072 | + | 2.51079i | −0.211736 | + | 0.235157i | ||||
\(115\) | −15.9981 | − | 2.86532i | −1.49183 | − | 0.267192i | ||||
\(116\) | 0.0588564 | + | 0.0653667i | 0.00546468 | + | 0.00606915i | ||||
\(117\) | 3.46516 | + | 0.364203i | 0.320354 | + | 0.0336706i | ||||
\(118\) | − | 8.71825i | − | 0.802580i | ||||||
\(119\) | −1.83625 | − | 0.0765372i | −0.168329 | − | 0.00701616i | ||||
\(120\) | −0.201210 | − | 6.24360i | −0.0183679 | − | 0.569960i | ||||
\(121\) | −5.34028 | − | 2.37764i | −0.485480 | − | 0.216149i | ||||
\(122\) | 15.1862 | − | 1.59613i | 1.37489 | − | 0.144507i | ||||
\(123\) | 0.430447 | − | 2.02509i | 0.0388121 | − | 0.182596i | ||||
\(124\) | −0.0295507 | − | 0.0511833i | −0.00265373 | − | 0.00459639i | ||||
\(125\) | 1.07886 | + | 11.1282i | 0.0964960 | + | 0.995333i | ||||
\(126\) | 3.15300 | − | 2.09589i | 0.280891 | − | 0.186717i | ||||
\(127\) | −11.1173 | + | 3.61221i | −0.986497 | + | 0.320532i | −0.757457 | − | 0.652885i | \(-0.773558\pi\) |
−0.229039 | + | 0.973417i | \(0.573558\pi\) | |||||||
\(128\) | 4.75954 | − | 10.6901i | 0.420688 | − | 0.944881i | ||||
\(129\) | −0.641965 | − | 6.10789i | −0.0565219 | − | 0.537770i | ||||
\(130\) | −9.82976 | − | 5.26056i | −0.862127 | − | 0.461381i | ||||
\(131\) | 0.843146 | − | 8.02200i | 0.0736660 | − | 0.700885i | −0.893900 | − | 0.448267i | \(-0.852042\pi\) |
0.967566 | − | 0.252619i | \(-0.0812918\pi\) | |||||||
\(132\) | − | 0.108380i | − | 0.00943331i | ||||||
\(133\) | −5.27500 | − | 3.34591i | −0.457401 | − | 0.290127i | ||||
\(134\) | −1.98135 | + | 6.09796i | −0.171162 | + | 0.526784i | ||||
\(135\) | 1.44192 | − | 1.70905i | 0.124101 | − | 0.147092i | ||||
\(136\) | −1.89819 | − | 0.403472i | −0.162768 | − | 0.0345975i | ||||
\(137\) | −9.67804 | + | 8.71415i | −0.826851 | + | 0.744500i | −0.969452 | − | 0.245280i | \(-0.921120\pi\) |
0.142601 | + | 0.989780i | \(0.454453\pi\) | |||||||
\(138\) | −2.16250 | − | 10.1738i | −0.184084 | − | 0.866049i | ||||
\(139\) | −3.31410 | − | 10.1998i | −0.281098 | − | 0.865132i | −0.987541 | − | 0.157362i | \(-0.949701\pi\) |
0.706443 | − | 0.707770i | \(-0.250299\pi\) | |||||||
\(140\) | −0.276792 | + | 0.0561080i | −0.0233932 | + | 0.00474199i | ||||
\(141\) | 0.875711 | − | 2.69516i | 0.0737482 | − | 0.226974i | ||||
\(142\) | −10.8175 | − | 1.13696i | −0.907783 | − | 0.0954118i | ||||
\(143\) | 6.85056 | + | 3.95517i | 0.572873 | + | 0.330748i | ||||
\(144\) | 3.73932 | − | 1.66485i | 0.311610 | − | 0.138738i | ||||
\(145\) | −1.55368 | + | 3.81589i | −0.129026 | + | 0.316892i | ||||
\(146\) | −2.24902 | + | 1.63401i | −0.186130 | + | 0.135232i | ||||
\(147\) | 4.79418 | + | 5.10057i | 0.395418 | + | 0.420688i | ||||
\(148\) | 0.452210 | − | 0.146932i | 0.0371715 | − | 0.0120777i | ||||
\(149\) | −0.311539 | − | 0.539601i | −0.0255222 | − | 0.0442058i | 0.852982 | − | 0.521940i | \(-0.174792\pi\) |
−0.878504 | + | 0.477734i | \(0.841458\pi\) | |||||||
\(150\) | −6.33544 | + | 3.32500i | −0.517287 | + | 0.271485i | ||||
\(151\) | −9.06387 | + | 15.6991i | −0.737607 | + | 1.27757i | 0.215963 | + | 0.976402i | \(0.430711\pi\) |
−0.953570 | + | 0.301172i | \(0.902622\pi\) | |||||||
\(152\) | −4.90171 | − | 4.41352i | −0.397581 | − | 0.357984i | ||||
\(153\) | −0.408299 | − | 0.561975i | −0.0330090 | − | 0.0454330i | ||||
\(154\) | 8.47483 | − | 1.43542i | 0.682921 | − | 0.115670i | ||||
\(155\) | 1.55420 | − | 2.29088i | 0.124837 | − | 0.184008i | ||||
\(156\) | 0.0173863 | − | 0.165420i | 0.00139202 | − | 0.0132442i | ||||
\(157\) | −2.03008 | − | 1.17206i | −0.162018 | − | 0.0935410i | 0.416799 | − | 0.908999i | \(-0.363152\pi\) |
−0.578817 | + | 0.815458i | \(0.696485\pi\) | |||||||
\(158\) | −9.48525 | − | 21.3042i | −0.754606 | − | 1.69487i | ||||
\(159\) | −4.99281 | + | 1.06125i | −0.395956 | + | 0.0841630i | ||||
\(160\) | −0.603402 | + | 0.0194456i | −0.0477031 | + | 0.00153731i | ||||
\(161\) | 17.8784 | − | 7.08333i | 1.40901 | − | 0.558244i | ||||
\(162\) | 1.36095 | + | 0.442201i | 0.106927 | + | 0.0347426i | ||||
\(163\) | −1.34784 | − | 6.34109i | −0.105571 | − | 0.496673i | −0.998884 | − | 0.0472370i | \(-0.984958\pi\) |
0.893313 | − | 0.449436i | \(-0.148375\pi\) | |||||||
\(164\) | −0.0966739 | − | 0.0205487i | −0.00754896 | − | 0.00160458i | ||||
\(165\) | 4.56878 | − | 2.21314i | 0.355679 | − | 0.172293i | ||||
\(166\) | 7.36828 | − | 1.56618i | 0.571890 | − | 0.121559i | ||||
\(167\) | 11.9543 | − | 16.4537i | 0.925055 | − | 1.27323i | −0.0367027 | − | 0.999326i | \(-0.511685\pi\) |
0.961757 | − | 0.273902i | \(-0.0883145\pi\) | |||||||
\(168\) | 4.09174 | + | 6.15548i | 0.315684 | + | 0.474905i | ||||
\(169\) | −0.695764 | − | 0.505502i | −0.0535203 | − | 0.0388848i | ||||
\(170\) | 0.531915 | + | 2.15812i | 0.0407960 | + | 0.165520i | ||||
\(171\) | −0.246793 | − | 2.34808i | −0.0188728 | − | 0.179562i | ||||
\(172\) | −0.291579 | + | 0.0306462i | −0.0222327 | + | 0.00233675i | ||||
\(173\) | −6.76638 | − | 6.09248i | −0.514439 | − | 0.463203i | 0.370552 | − | 0.928812i | \(-0.379169\pi\) |
−0.884990 | + | 0.465609i | \(0.845835\pi\) | |||||||
\(174\) | −2.63667 | −0.199885 | ||||||||
\(175\) | −8.01736 | − | 10.5224i | −0.606056 | − | 0.795422i | ||||
\(176\) | 9.29286 | 0.700475 | ||||||||
\(177\) | 4.52757 | + | 4.07665i | 0.340313 | + | 0.306419i | ||||
\(178\) | −22.8438 | + | 2.40098i | −1.71221 | + | 0.179961i | ||||
\(179\) | 0.667499 | + | 6.35083i | 0.0498912 | + | 0.474683i | 0.990732 | + | 0.135834i | \(0.0433712\pi\) |
−0.940840 | + | 0.338850i | \(0.889962\pi\) | |||||||
\(180\) | −0.0815868 | − | 0.0688345i | −0.00608112 | − | 0.00513062i | ||||
\(181\) | 3.78889 | + | 2.75279i | 0.281626 | + | 0.204613i | 0.719626 | − | 0.694362i | \(-0.244313\pi\) |
−0.438000 | + | 0.898975i | \(0.644313\pi\) | |||||||
\(182\) | 13.1653 | − | 0.831341i | 0.975878 | − | 0.0616231i | ||||
\(183\) | −6.27215 | + | 8.63287i | −0.463650 | + | 0.638160i | ||||
\(184\) | 19.8619 | − | 4.22177i | 1.46424 | − | 0.311233i | ||||
\(185\) | 15.4281 | + | 16.0625i | 1.13430 | + | 1.18094i | ||||
\(186\) | 1.73290 | + | 0.368340i | 0.127063 | + | 0.0270080i | ||||
\(187\) | −0.327888 | − | 1.54259i | −0.0239775 | − | 0.112805i | ||||
\(188\) | −0.128662 | − | 0.0418047i | −0.00938362 | − | 0.00304892i | ||||
\(189\) | −0.385895 | + | 2.61746i | −0.0280698 | + | 0.190392i | ||||
\(190\) | −2.10191 | + | 7.25648i | −0.152489 | + | 0.526441i | ||||
\(191\) | −5.55684 | + | 1.18114i | −0.402079 | + | 0.0854644i | −0.404512 | − | 0.914533i | \(-0.632559\pi\) |
0.00243366 | + | 0.999997i | \(0.499225\pi\) | |||||||
\(192\) | 3.17256 | + | 7.12569i | 0.228960 | + | 0.514253i | ||||
\(193\) | 13.4739 | + | 7.77917i | 0.969874 | + | 0.559957i | 0.899198 | − | 0.437543i | \(-0.144151\pi\) |
0.0706759 | + | 0.997499i | \(0.477484\pi\) | |||||||
\(194\) | −2.83569 | + | 26.9798i | −0.203591 | + | 1.93703i | ||||
\(195\) | 7.32831 | − | 2.64497i | 0.524791 | − | 0.189410i | ||||
\(196\) | 0.243491 | − | 0.228865i | 0.0173922 | − | 0.0163475i | ||||
\(197\) | 3.44019 | + | 4.73501i | 0.245103 | + | 0.337356i | 0.913789 | − | 0.406190i | \(-0.133143\pi\) |
−0.668686 | + | 0.743545i | \(0.733143\pi\) | |||||||
\(198\) | 2.41433 | + | 2.17388i | 0.171579 | + | 0.154491i | ||||
\(199\) | 4.84981 | − | 8.40011i | 0.343794 | − | 0.595468i | −0.641340 | − | 0.767257i | \(-0.721621\pi\) |
0.985134 | + | 0.171788i | \(0.0549546\pi\) | |||||||
\(200\) | −6.49127 | − | 12.3684i | −0.459002 | − | 0.874581i | ||||
\(201\) | −2.24033 | − | 3.88036i | −0.158020 | − | 0.273699i | ||||
\(202\) | −14.7084 | + | 4.77906i | −1.03488 | + | 0.336254i | ||||
\(203\) | −0.814094 | − | 4.80647i | −0.0571382 | − | 0.337348i | ||||
\(204\) | −0.0268276 | + | 0.0194914i | −0.00187831 | + | 0.00136467i | ||||
\(205\) | −1.10786 | − | 4.49489i | −0.0773765 | − | 0.313937i | ||||
\(206\) | −20.7540 | + | 9.24028i | −1.44600 | + | 0.643801i | ||||
\(207\) | 6.29464 | + | 3.63421i | 0.437508 | + | 0.252595i | ||||
\(208\) | 14.1836 | + | 1.49076i | 0.983455 | + | 0.103365i | ||||
\(209\) | 1.65641 | − | 5.09791i | 0.114576 | − | 0.352630i | ||||
\(210\) | 4.30197 | − | 7.29136i | 0.296864 | − | 0.503152i | ||||
\(211\) | 5.32250 | + | 16.3810i | 0.366416 | + | 1.12771i | 0.949090 | + | 0.315006i | \(0.102006\pi\) |
−0.582674 | + | 0.812706i | \(0.697994\pi\) | |||||||
\(212\) | 0.0506622 | + | 0.238347i | 0.00347949 | + | 0.0163697i | ||||
\(213\) | 5.64869 | − | 5.08611i | 0.387042 | − | 0.348494i | ||||
\(214\) | 9.58593 | + | 2.03755i | 0.655280 | + | 0.139284i | ||||
\(215\) | −7.24596 | − | 11.6657i | −0.494170 | − | 0.795594i | ||||
\(216\) | −0.863292 | + | 2.65694i | −0.0587396 | + | 0.180782i | ||||
\(217\) | −0.136410 | + | 3.27269i | −0.00926012 | + | 0.222165i | ||||
\(218\) | − | 0.163062i | − | 0.0110440i | ||||||
\(219\) | 0.203064 | − | 1.93203i | 0.0137218 | − | 0.130554i | ||||
\(220\) | −0.105651 | − | 0.218104i | −0.00712299 | − | 0.0147046i | ||||
\(221\) | −0.252990 | − | 2.40704i | −0.0170179 | − | 0.161915i | ||||
\(222\) | −5.79723 | + | 13.0208i | −0.389084 | + | 0.873898i | ||||
\(223\) | −7.13211 | + | 2.31736i | −0.477602 | + | 0.155182i | −0.537918 | − | 0.842997i | \(-0.680789\pi\) |
0.0603164 | + | 0.998179i | \(0.480789\pi\) | |||||||
\(224\) | 0.594886 | − | 0.395439i | 0.0397475 | − | 0.0264214i | ||||
\(225\) | 1.23570 | − | 4.84490i | 0.0823802 | − | 0.322993i | ||||
\(226\) | 12.4074 | + | 21.4902i | 0.825325 | + | 1.42950i | ||||
\(227\) | −3.42326 | + | 16.1052i | −0.227210 | + | 1.06894i | 0.705611 | + | 0.708599i | \(0.250672\pi\) |
−0.932821 | + | 0.360340i | \(0.882661\pi\) | |||||||
\(228\) | −0.112093 | + | 0.0117814i | −0.00742353 | + | 0.000780244i | ||||
\(229\) | 21.2166 | + | 9.44625i | 1.40203 | + | 0.624226i | 0.961824 | − | 0.273669i | \(-0.0882373\pi\) |
0.440210 | + | 0.897895i | \(0.354904\pi\) | |||||||
\(230\) | −14.2694 | − | 18.3656i | −0.940894 | − | 1.21099i | ||||
\(231\) | −3.21738 | + | 5.07236i | −0.211688 | + | 0.333737i | ||||
\(232\) | − | 5.14747i | − | 0.337948i | ||||||
\(233\) | −14.4743 | − | 1.52131i | −0.948245 | − | 0.0996646i | −0.382237 | − | 0.924064i | \(-0.624846\pi\) |
−0.566008 | + | 0.824400i | \(0.691513\pi\) | |||||||
\(234\) | 3.33624 | + | 3.70527i | 0.218097 | + | 0.242221i | ||||
\(235\) | −0.865009 | − | 6.27739i | −0.0564270 | − | 0.409492i | ||||
\(236\) | 0.194611 | − | 0.216137i | 0.0126681 | − | 0.0140693i | ||||
\(237\) | 15.4990 | + | 5.03594i | 1.00677 | + | 0.327120i | ||||
\(238\) | −1.87944 | − | 1.83964i | −0.121826 | − | 0.119246i | ||||
\(239\) | 7.96142 | + | 24.5027i | 0.514982 | + | 1.58495i | 0.783315 | + | 0.621624i | \(0.213527\pi\) |
−0.268334 | + | 0.963326i | \(0.586473\pi\) | |||||||
\(240\) | 5.90207 | − | 6.99549i | 0.380977 | − | 0.451557i | ||||
\(241\) | −13.7146 | − | 15.2316i | −0.883434 | − | 0.981153i | 0.116493 | − | 0.993191i | \(-0.462835\pi\) |
−0.999928 | + | 0.0120382i | \(0.996168\pi\) | |||||||
\(242\) | −3.40239 | − | 7.64189i | −0.218714 | − | 0.491239i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 0.412116 | + | 0.299420i | 0.0263830 | + | 0.0191684i | ||||
\(245\) | 14.6199 | + | 5.59091i | 0.934032 | + | 0.357190i | ||||
\(246\) | 2.39682 | − | 1.74139i | 0.152816 | − | 0.111027i | ||||
\(247\) | 3.34597 | − | 7.51516i | 0.212899 | − | 0.478178i | ||||
\(248\) | −0.719097 | + | 3.38308i | −0.0456627 | + | 0.214826i | ||||
\(249\) | −2.63205 | + | 4.55885i | −0.166800 | + | 0.288905i | ||||
\(250\) | −9.50815 | + | 12.8671i | −0.601348 | + | 0.813787i | ||||
\(251\) | −26.0972 | −1.64724 | −0.823619 | − | 0.567144i | \(-0.808048\pi\) | ||||
−0.823619 | + | 0.567144i | \(0.808048\pi\) | |||||||
\(252\) | 0.124952 | + | 0.0184219i | 0.00787125 | + | 0.00116047i | ||||
\(253\) | 9.69942 | + | 13.3501i | 0.609797 | + | 0.839314i | ||||
\(254\) | −15.2812 | − | 6.80364i | −0.958830 | − | 0.426899i | ||||
\(255\) | −1.36948 | − | 0.732900i | −0.0857602 | − | 0.0458960i | ||||
\(256\) | 1.04607 | − | 0.465740i | 0.0653793 | − | 0.0291087i | ||||
\(257\) | 9.85407 | − | 5.68925i | 0.614680 | − | 0.354886i | −0.160115 | − | 0.987098i | \(-0.551186\pi\) |
0.774795 | + | 0.632213i | \(0.217853\pi\) | |||||||
\(258\) | 5.16574 | − | 7.11004i | 0.321605 | − | 0.442652i | ||||
\(259\) | −25.5259 | − | 6.54767i | −1.58610 | − | 0.406852i | ||||
\(260\) | −0.126266 | − | 0.349839i | −0.00783067 | − | 0.0216961i | ||||
\(261\) | 1.23290 | − | 1.36928i | 0.0763149 | − | 0.0847563i | ||||
\(262\) | 8.57786 | − | 7.72354i | 0.529942 | − | 0.477162i | ||||
\(263\) | −14.9178 | + | 13.4321i | −0.919873 | + | 0.828257i | −0.985515 | − | 0.169586i | \(-0.945757\pi\) |
0.0656425 | + | 0.997843i | \(0.479090\pi\) | |||||||
\(264\) | −4.24397 | + | 4.71341i | −0.261199 | + | 0.290090i | ||||
\(265\) | −9.01298 | + | 7.00273i | −0.553663 | + | 0.430174i | ||||
\(266\) | −2.40584 | − | 8.60908i | −0.147512 | − | 0.527857i | ||||
\(267\) | 9.43485 | − | 12.9860i | 0.577403 | − | 0.794728i | ||||
\(268\) | −0.185241 | + | 0.106949i | −0.0113154 | + | 0.00653293i | ||||
\(269\) | 3.84123 | − | 1.71023i | 0.234204 | − | 0.104274i | −0.286279 | − | 0.958146i | \(-0.592419\pi\) |
0.520483 | + | 0.853872i | \(0.325752\pi\) | |||||||
\(270\) | 3.16984 | − | 0.436797i | 0.192910 | − | 0.0265826i | ||||
\(271\) | 16.5544 | + | 7.37052i | 1.00561 | + | 0.447727i | 0.842393 | − | 0.538863i | \(-0.181146\pi\) |
0.163218 | + | 0.986590i | \(0.447813\pi\) | |||||||
\(272\) | −1.67125 | − | 2.30027i | −0.101334 | − | 0.139475i | ||||
\(273\) | −5.72436 | + | 7.22576i | −0.346454 | + | 0.437323i | ||||
\(274\) | −18.6359 | −1.12584 | ||||||||
\(275\) | 7.03678 | − | 8.90743i | 0.424334 | − | 0.537138i | ||||
\(276\) | 0.173490 | − | 0.300494i | 0.0104429 | − | 0.0180876i | ||||
\(277\) | −4.65760 | + | 21.9123i | −0.279848 | + | 1.31658i | 0.583558 | + | 0.812072i | \(0.301660\pi\) |
−0.863406 | + | 0.504510i | \(0.831673\pi\) | |||||||
\(278\) | 6.24215 | − | 14.0201i | 0.374379 | − | 0.840869i | ||||
\(279\) | −1.00159 | + | 0.727699i | −0.0599637 | + | 0.0435662i | ||||
\(280\) | 14.2346 | + | 8.39856i | 0.850683 | + | 0.501910i | ||||
\(281\) | −11.6475 | − | 8.46240i | −0.694831 | − | 0.504825i | 0.183413 | − | 0.983036i | \(-0.441285\pi\) |
−0.878245 | + | 0.478211i | \(0.841285\pi\) | |||||||
\(282\) | 3.51193 | − | 2.02762i | 0.209133 | − | 0.120743i | ||||
\(283\) | 2.16152 | + | 4.85486i | 0.128489 | + | 0.288591i | 0.966322 | − | 0.257335i | \(-0.0828445\pi\) |
−0.837833 | + | 0.545926i | \(0.816178\pi\) | |||||||
\(284\) | −0.242801 | − | 0.269657i | −0.0144076 | − | 0.0160012i | ||||
\(285\) | −2.78559 | − | 4.48469i | −0.165004 | − | 0.265650i | ||||
\(286\) | 3.49796 | + | 10.7656i | 0.206839 | + | 0.636585i | ||||
\(287\) | 3.91447 | + | 3.83156i | 0.231064 | + | 0.226170i | ||||
\(288\) | 0.256776 | + | 0.0834314i | 0.0151306 | + | 0.00491624i | ||||
\(289\) | 11.0523 | − | 12.2749i | 0.650138 | − | 0.722052i | ||||
\(290\) | −5.30602 | + | 2.57027i | −0.311580 | + | 0.150931i | ||||
\(291\) | −12.6852 | − | 14.0884i | −0.743620 | − | 0.825874i | ||||
\(292\) | −0.0922311 | − | 0.00969388i | −0.00539742 | − | 0.000567291i | ||||
\(293\) | − | 16.6763i | − | 0.974239i | −0.873335 | − | 0.487119i | \(-0.838048\pi\) | ||
0.873335 | − | 0.487119i | \(-0.161952\pi\) | |||||||
\(294\) | 0.214400 | + | 10.0146i | 0.0125041 | + | 0.584066i | ||||
\(295\) | 13.0852 | + | 3.79027i | 0.761852 | + | 0.220678i | ||||
\(296\) | −25.4200 | − | 11.3177i | −1.47751 | − | 0.657828i | ||||
\(297\) | −2.25788 | + | 0.237313i | −0.131015 | + | 0.0137703i | ||||
\(298\) | 0.185378 | − | 0.872135i | 0.0107387 | − | 0.0505214i | ||||
\(299\) | 12.6625 | + | 21.9321i | 0.732292 | + | 1.26837i | ||||
\(300\) | −0.231286 | − | 0.0589900i | −0.0133533 | − | 0.00340579i | ||||
\(301\) | 14.5561 | + | 7.22151i | 0.838998 | + | 0.416241i | ||||
\(302\) | −24.6710 | + | 8.01610i | −1.41966 | + | 0.461275i | ||||
\(303\) | 4.39578 | − | 9.87309i | 0.252531 | − | 0.567194i | ||||
\(304\) | −1.01017 | − | 9.61117i | −0.0579375 | − | 0.551238i | ||||
\(305\) | −4.20658 | + | 23.4869i | −0.240868 | + | 1.34486i | ||||
\(306\) | 0.103904 | − | 0.988578i | 0.00593978 | − | 0.0565132i | ||||
\(307\) | − | 21.8316i | − | 1.24599i | −0.782224 | − | 0.622997i | \(-0.785915\pi\) | ||
0.782224 | − | 0.622997i | \(-0.214085\pi\) | |||||||
\(308\) | 0.242145 | + | 0.153591i | 0.0137975 | + | 0.00875167i | ||||
\(309\) | 4.90588 | − | 15.0987i | 0.279086 | − | 0.858938i | ||||
\(310\) | 3.84635 | − | 0.948016i | 0.218458 | − | 0.0538437i | ||||
\(311\) | 8.73887 | + | 1.85750i | 0.495536 | + | 0.105329i | 0.448899 | − | 0.893583i | \(-0.351816\pi\) |
0.0466368 | + | 0.998912i | \(0.485150\pi\) | |||||||
\(312\) | −7.23366 | + | 6.51321i | −0.409525 | + | 0.368738i | ||||
\(313\) | −3.12775 | − | 14.7149i | −0.176791 | − | 0.831735i | −0.973735 | − | 0.227682i | \(-0.926885\pi\) |
0.796945 | − | 0.604052i | \(-0.206448\pi\) | |||||||
\(314\) | −1.03658 | − | 3.19025i | −0.0584974 | − | 0.180036i | ||||
\(315\) | 1.77496 | + | 5.64354i | 0.100008 | + | 0.317977i | ||||
\(316\) | 0.240406 | − | 0.739893i | 0.0135239 | − | 0.0416222i | ||||
\(317\) | 30.5557 | + | 3.21153i | 1.71618 | + | 0.180378i | 0.910931 | − | 0.412559i | \(-0.135365\pi\) |
0.805249 | + | 0.592937i | \(0.202032\pi\) | |||||||
\(318\) | −6.32570 | − | 3.65214i | −0.354728 | − | 0.204802i | ||||
\(319\) | 3.82151 | − | 1.70145i | 0.213964 | − | 0.0952628i | ||||
\(320\) | 13.3307 | + | 11.2470i | 0.745208 | + | 0.628729i | ||||
\(321\) | −5.54051 | + | 4.02542i | −0.309241 | + | 0.224677i | ||||
\(322\) | 25.7949 | + | 9.58627i | 1.43750 | + | 0.534222i | ||||
\(323\) | −1.55979 | + | 0.506805i | −0.0867888 | + | 0.0281994i | ||||
\(324\) | 0.0238690 | + | 0.0413423i | 0.00132606 | + | 0.00229680i | ||||
\(325\) | 12.1691 | − | 12.4665i | 0.675019 | − | 0.691516i | ||||
\(326\) | 4.63839 | − | 8.03392i | 0.256896 | − | 0.444958i | ||||
\(327\) | 0.0846817 | + | 0.0762478i | 0.00468291 | + | 0.00421651i | ||||
\(328\) | 3.39965 | + | 4.67922i | 0.187714 | + | 0.258367i | ||||
\(329\) | 4.78054 | + | 5.77597i | 0.263560 | + | 0.318439i | ||||
\(330\) | 6.97772 | + | 2.02117i | 0.384111 | + | 0.111262i | ||||
\(331\) | 1.02810 | − | 9.78173i | 0.0565095 | − | 0.537652i | −0.929245 | − | 0.369463i | \(-0.879541\pi\) |
0.985755 | − | 0.168189i | \(-0.0537918\pi\) | |||||||
\(332\) | 0.217631 | + | 0.125649i | 0.0119440 | + | 0.00689589i | ||||
\(333\) | −4.05119 | − | 9.09913i | −0.222004 | − | 0.498629i | ||||
\(334\) | 28.4675 | − | 6.05094i | 1.55767 | − | 0.331093i | ||||
\(335\) | −8.29105 | − | 5.62491i | −0.452989 | − | 0.307322i | ||||
\(336\) | −1.57955 | + | 10.7138i | −0.0861713 | + | 0.584484i | ||||
\(337\) | 23.0088 | + | 7.47601i | 1.25337 | + | 0.407244i | 0.859127 | − | 0.511762i | \(-0.171007\pi\) |
0.394242 | + | 0.919007i | \(0.371007\pi\) | |||||||
\(338\) | −0.255871 | − | 1.20378i | −0.0139175 | − | 0.0654768i | ||||
\(339\) | −16.9620 | − | 3.60538i | −0.921248 | − | 0.195817i | ||||
\(340\) | −0.0349872 | + | 0.0653763i | −0.00189745 | + | 0.00354553i | ||||
\(341\) | −2.74931 | + | 0.584384i | −0.148884 | + | 0.0316462i | ||||
\(342\) | 1.98589 | − | 2.73334i | 0.107385 | − | 0.147802i | ||||
\(343\) | −18.1898 | + | 3.48294i | −0.982157 | + | 0.188061i | ||||
\(344\) | 13.8807 | + | 10.0849i | 0.748395 | + | 0.543741i | ||||
\(345\) | 16.2100 | + | 1.17736i | 0.872717 | + | 0.0633869i | ||||
\(346\) | −1.36193 | − | 12.9579i | −0.0732178 | − | 0.696621i | ||||
\(347\) | −31.4499 | + | 3.30551i | −1.68832 | + | 0.177449i | −0.899423 | − | 0.437079i | \(-0.856013\pi\) |
−0.788895 | + | 0.614529i | \(0.789346\pi\) | |||||||
\(348\) | −0.0653667 | − | 0.0588564i | −0.00350402 | − | 0.00315504i | ||||
\(349\) | −8.98618 | −0.481019 | −0.240510 | − | 0.970647i | \(-0.577315\pi\) | ||||
−0.240510 | + | 0.970647i | \(0.577315\pi\) | |||||||
\(350\) | 1.54952 | − | 18.8667i | 0.0828255 | − | 1.00847i | ||||
\(351\) | −3.48425 | −0.185975 | ||||||||
\(352\) | 0.455520 | + | 0.410152i | 0.0242793 | + | 0.0218612i | ||||
\(353\) | 0.957896 | − | 0.100679i | 0.0509837 | − | 0.00535860i | −0.0790023 | − | 0.996874i | \(-0.525173\pi\) |
0.129986 | + | 0.991516i | \(0.458507\pi\) | |||||||
\(354\) | 0.911305 | + | 8.67049i | 0.0484353 | + | 0.460831i | ||||
\(355\) | 6.40939 | − | 15.7417i | 0.340175 | − | 0.835482i | ||||
\(356\) | −0.619924 | − | 0.450401i | −0.0328559 | − | 0.0238712i | ||||
\(357\) | 1.83419 | − | 0.115822i | 0.0970756 | − | 0.00612997i | ||||
\(358\) | −5.37121 | + | 7.39284i | −0.283877 | + | 0.390724i | ||||
\(359\) | −1.62849 | + | 0.346146i | −0.0859482 | + | 0.0182689i | −0.250685 | − | 0.968069i | \(-0.580656\pi\) |
0.164737 | + | 0.986338i | \(0.447323\pi\) | |||||||
\(360\) | 0.852741 | + | 6.18836i | 0.0449434 | + | 0.326155i | ||||
\(361\) | 13.1322 | + | 2.79134i | 0.691169 | + | 0.146913i | ||||
\(362\) | 1.39338 | + | 6.55535i | 0.0732346 | + | 0.344542i | ||||
\(363\) | 5.55955 | + | 1.80641i | 0.291801 | + | 0.0948118i | ||||
\(364\) | 0.344944 | + | 0.273269i | 0.0180800 | + | 0.0143232i | ||||
\(365\) | −1.47472 | − | 4.08595i | −0.0771906 | − | 0.213868i | ||||
\(366\) | −14.9362 | + | 3.17478i | −0.780726 | + | 0.165948i | ||||
\(367\) | −7.84353 | − | 17.6169i | −0.409429 | − | 0.919592i | −0.994115 | − | 0.108332i | \(-0.965449\pi\) |
0.584686 | − | 0.811260i | \(-0.301218\pi\) | |||||||
\(368\) | 25.7652 | + | 14.8756i | 1.34311 | + | 0.775442i | ||||
\(369\) | −0.216409 | + | 2.05899i | −0.0112658 | + | 0.107187i | ||||
\(370\) | 1.02655 | + | 31.8542i | 0.0533679 | + | 1.65602i | ||||
\(371\) | 4.70449 | − | 12.6589i | 0.244245 | − | 0.657219i | ||||
\(372\) | 0.0347389 | + | 0.0478140i | 0.00180113 | + | 0.00247904i | ||||
\(373\) | 16.7089 | + | 15.0448i | 0.865154 | + | 0.778988i | 0.976663 | − | 0.214776i | \(-0.0689020\pi\) |
−0.111510 | + | 0.993763i | \(0.535569\pi\) | |||||||
\(374\) | 1.12837 | − | 1.95440i | 0.0583468 | − | 0.101060i | ||||
\(375\) | −2.23616 | − | 10.9544i | −0.115475 | − | 0.565684i | ||||
\(376\) | 3.95844 | + | 6.85622i | 0.204141 | + | 0.353582i | ||||
\(377\) | 6.10568 | − | 1.98386i | 0.314459 | − | 0.102174i | ||||
\(378\) | −2.91664 | + | 2.41399i | −0.150016 | + | 0.124162i | ||||
\(379\) | 1.40943 | − | 1.02401i | 0.0723976 | − | 0.0526000i | −0.550998 | − | 0.834507i | \(-0.685753\pi\) |
0.623395 | + | 0.781907i | \(0.285753\pi\) | |||||||
\(380\) | −0.214090 | + | 0.132979i | −0.0109826 | + | 0.00682167i | ||||
\(381\) | 10.6788 | − | 4.75450i | 0.547090 | − | 0.243580i | ||||
\(382\) | −7.04030 | − | 4.06472i | −0.360213 | − | 0.207969i | ||||
\(383\) | −25.3506 | − | 2.66446i | −1.29536 | − | 0.136147i | −0.568355 | − | 0.822783i | \(-0.692420\pi\) |
−0.727001 | + | 0.686636i | \(0.759087\pi\) | |||||||
\(384\) | −3.61605 | + | 11.1290i | −0.184531 | + | 0.567927i | ||||
\(385\) | −1.53002 | + | 13.3439i | −0.0779769 | + | 0.680071i | ||||
\(386\) | 6.87991 | + | 21.1742i | 0.350178 | + | 1.07774i | ||||
\(387\) | 1.27690 | + | 6.00733i | 0.0649083 | + | 0.305370i | ||||
\(388\) | −0.672550 | + | 0.605567i | −0.0341436 | + | 0.0307430i | ||||
\(389\) | −18.9033 | − | 4.01802i | −0.958435 | − | 0.203722i | −0.297967 | − | 0.954576i | \(-0.596309\pi\) |
−0.660468 | + | 0.750854i | \(0.729642\pi\) | |||||||
\(390\) | 10.3258 | + | 4.20425i | 0.522867 | + | 0.212890i | ||||
\(391\) | 1.56021 | − | 4.80183i | 0.0789031 | − | 0.242839i | ||||
\(392\) | −19.5512 | + | 0.418566i | −0.987486 | + | 0.0211408i | ||||
\(393\) | 8.06619i | 0.406885i | ||||||||
\(394\) | −0.875458 | + | 8.32942i | −0.0441049 | + | 0.419630i | ||||
\(395\) | 36.0993 | − | 4.97440i | 1.81635 | − | 0.250289i | ||||
\(396\) | 0.0113288 | + | 0.107787i | 0.000569296 | + | 0.00541649i | ||||
\(397\) | 3.72474 | − | 8.36590i | 0.186939 | − | 0.419872i | −0.795627 | − | 0.605787i | \(-0.792858\pi\) |
0.982566 | + | 0.185915i | \(0.0595249\pi\) | |||||||
\(398\) | 13.2007 | − | 4.28918i | 0.661693 | − | 0.214997i | ||||
\(399\) | 5.59585 | + | 2.77620i | 0.280143 | + | 0.138984i | ||||
\(400\) | 5.05798 | − | 19.8311i | 0.252899 | − | 0.991556i | ||||
\(401\) | −6.40907 | − | 11.1008i | −0.320054 | − | 0.554349i | 0.660445 | − | 0.750874i | \(-0.270368\pi\) |
−0.980499 | + | 0.196525i | \(0.937034\pi\) | |||||||
\(402\) | 1.33308 | − | 6.27166i | 0.0664882 | − | 0.312802i | ||||
\(403\) | −4.28999 | + | 0.450896i | −0.213700 | + | 0.0224608i | ||||
\(404\) | −0.471322 | − | 0.209846i | −0.0234491 | − | 0.0104402i | ||||
\(405\) | −1.25538 | + | 1.85041i | −0.0623802 | + | 0.0919477i | ||||
\(406\) | 3.73656 | − | 5.89087i | 0.185442 | − | 0.292359i | ||||
\(407\) | − | 22.6129i | − | 1.12088i | ||||||
\(408\) | 1.92996 | + | 0.202847i | 0.0955474 | + | 0.0100424i | ||||
\(409\) | 0.289295 | + | 0.321295i | 0.0143047 | + | 0.0158870i | 0.750255 | − | 0.661149i | \(-0.229931\pi\) |
−0.735950 | + | 0.677036i | \(0.763264\pi\) | |||||||
\(410\) | 3.12581 | − | 5.84082i | 0.154373 | − | 0.288458i | ||||
\(411\) | 8.71415 | − | 9.67804i | 0.429837 | − | 0.477383i | ||||
\(412\) | −0.720784 | − | 0.234197i | −0.0355105 | − | 0.0115381i | ||||
\(413\) | −15.5243 | + | 4.33833i | −0.763902 | + | 0.213475i | ||||
\(414\) | 3.21411 | + | 9.89200i | 0.157965 | + | 0.486165i | ||||
\(415\) | −0.852693 | + | 11.7400i | −0.0418571 | + | 0.576293i | ||||
\(416\) | 0.629459 | + | 0.699085i | 0.0308618 | + | 0.0342755i | ||||
\(417\) | 4.36211 | + | 9.79746i | 0.213614 | + | 0.479784i | ||||
\(418\) | 6.64284 | − | 3.83524i | 0.324912 | − | 0.187588i | ||||
\(419\) | −18.8786 | − | 13.7161i | −0.922282 | − | 0.670077i | 0.0218088 | − | 0.999762i | \(-0.493057\pi\) |
−0.944091 | + | 0.329685i | \(0.893057\pi\) | |||||||
\(420\) | 0.269411 | − | 0.0847333i | 0.0131459 | − | 0.00413456i | ||||
\(421\) | −1.88002 | + | 1.36592i | −0.0916268 | + | 0.0665707i | −0.632655 | − | 0.774433i | \(-0.718035\pi\) |
0.541029 | + | 0.841004i | \(0.318035\pi\) | |||||||
\(422\) | −10.0250 | + | 22.5165i | −0.488008 | + | 1.09608i | ||||
\(423\) | −0.589193 | + | 2.77193i | −0.0286475 | + | 0.134776i | ||||
\(424\) | 7.12994 | − | 12.3494i | 0.346261 | − | 0.599741i | ||||
\(425\) | −3.47038 | − | 0.139893i | −0.168338 | − | 0.00678582i | ||||
\(426\) | 10.8771 | 0.526996 | ||||||||
\(427\) | −10.3991 | − | 26.2473i | −0.503246 | − | 1.27020i | ||||
\(428\) | 0.192166 | + | 0.264493i | 0.00928867 | + | 0.0127848i | ||||
\(429\) | −7.22646 | − | 3.21743i | −0.348897 | − | 0.155339i | ||||
\(430\) | 3.46454 | − | 19.3439i | 0.167075 | − | 0.932843i | ||||
\(431\) | −24.9574 | + | 11.1118i | −1.20216 | + | 0.535235i | −0.907372 | − | 0.420329i | \(-0.861915\pi\) |
−0.294785 | + | 0.955563i | \(0.595248\pi\) | |||||||
\(432\) | −3.54481 | + | 2.04660i | −0.170550 | + | 0.0984670i | ||||
\(433\) | 19.3700 | − | 26.6606i | 0.930864 | − | 1.28122i | −0.0286574 | − | 0.999589i | \(-0.509123\pi\) |
0.959522 | − | 0.281635i | \(-0.0908768\pi\) | |||||||
\(434\) | −3.27873 | + | 3.34968i | −0.157384 | + | 0.160790i | ||||
\(435\) | 1.14630 | − | 3.95739i | 0.0549607 | − | 0.189742i | ||||
\(436\) | 0.00363992 | − | 0.00404254i | 0.000174320 | − | 0.000193602i | ||||
\(437\) | 12.7530 | − | 11.4829i | 0.610060 | − | 0.549300i | ||||
\(438\) | 2.06590 | − | 1.86014i | 0.0987125 | − | 0.0888812i | ||||
\(439\) | −0.144324 | + | 0.160288i | −0.00688822 | + | 0.00765015i | −0.746579 | − | 0.665297i | \(-0.768305\pi\) |
0.739691 | + | 0.672947i | \(0.234972\pi\) | |||||||
\(440\) | −3.94585 | + | 13.6223i | −0.188111 | + | 0.649419i | ||||
\(441\) | −5.30108 | − | 4.57150i | −0.252432 | − | 0.217690i | ||||
\(442\) | 2.03575 | − | 2.80197i | 0.0968308 | − | 0.133276i | ||||
\(443\) | −6.19200 | + | 3.57496i | −0.294191 | + | 0.169851i | −0.639830 | − | 0.768516i | \(-0.720995\pi\) |
0.345639 | + | 0.938367i | \(0.387662\pi\) | |||||||
\(444\) | −0.434375 | + | 0.193396i | −0.0206145 | + | 0.00917817i | ||||
\(445\) | 6.32773 | − | 35.3301i | 0.299963 | − | 1.67481i | ||||
\(446\) | −9.80346 | − | 4.36478i | −0.464207 | − | 0.206678i | ||||
\(447\) | 0.366236 | + | 0.504080i | 0.0173224 | + | 0.0238422i | ||||
\(448\) | −20.4163 | − | 3.01000i | −0.964578 | − | 0.142209i | ||||
\(449\) | −38.9955 | −1.84031 | −0.920155 | − | 0.391554i | \(-0.871938\pi\) | ||||
−0.920155 | + | 0.391554i | \(0.871938\pi\) | |||||||
\(450\) | 5.95318 | − | 3.96902i | 0.280636 | − | 0.187101i | ||||
\(451\) | −2.35016 | + | 4.07059i | −0.110665 | + | 0.191677i | ||||
\(452\) | −0.172114 | + | 0.809731i | −0.00809554 | + | 0.0380865i | ||||
\(453\) | 7.37322 | − | 16.5605i | 0.346424 | − | 0.778081i | ||||
\(454\) | −19.0615 | + | 13.8490i | −0.894599 | + | 0.649964i | ||||
\(455\) | −4.47588 | + | 20.1213i | −0.209832 | + | 0.943300i | ||||
\(456\) | 5.33620 | + | 3.87698i | 0.249890 | + | 0.181556i | ||||
\(457\) | 1.95531 | − | 1.12890i | 0.0914653 | − | 0.0528075i | −0.453570 | − | 0.891221i | \(-0.649850\pi\) |
0.545035 | + | 0.838413i | \(0.316516\pi\) | |||||||
\(458\) | 13.5175 | + | 30.3608i | 0.631632 | + | 1.41867i | ||||
\(459\) | 0.464805 | + | 0.516218i | 0.0216952 | + | 0.0240950i | ||||
\(460\) | 0.0562048 | − | 0.773833i | 0.00262056 | − | 0.0360802i | ||||
\(461\) | 10.1270 | + | 31.1676i | 0.471660 | + | 1.45162i | 0.850410 | + | 0.526120i | \(0.176354\pi\) |
−0.378751 | + | 0.925499i | \(0.623646\pi\) | |||||||
\(462\) | −8.27836 | + | 2.31342i | −0.385144 | + | 0.107630i | ||||
\(463\) | 27.0075 | + | 8.77528i | 1.25515 | + | 0.407822i | 0.859763 | − | 0.510694i | \(-0.170611\pi\) |
0.395384 | + | 0.918516i | \(0.370611\pi\) | |||||||
\(464\) | 5.04652 | − | 5.60473i | 0.234279 | − | 0.260193i | ||||
\(465\) | −1.30623 | + | 2.44079i | −0.0605748 | + | 0.113189i | ||||
\(466\) | −13.9358 | − | 15.4773i | −0.645564 | − | 0.716972i | ||||
\(467\) | −8.52019 | − | 0.895508i | −0.394267 | − | 0.0414392i | −0.0946793 | − | 0.995508i | \(-0.530183\pi\) |
−0.299588 | + | 0.954069i | \(0.596849\pi\) | |||||||
\(468\) | 0.166331i | 0.00768866i | ||||||||
\(469\) | 11.8444 | + | 0.493690i | 0.546924 | + | 0.0227965i | ||||
\(470\) | 5.09085 | − | 7.50385i | 0.234823 | − | 0.346127i | ||||
\(471\) | 2.14147 | + | 0.953443i | 0.0986737 | + | 0.0439324i | ||||
\(472\) | −16.9271 | + | 1.77911i | −0.779131 | + | 0.0818900i | ||||
\(473\) | −2.89896 | + | 13.6385i | −0.133294 | + | 0.627101i | ||||
\(474\) | 11.6602 | + | 20.1960i | 0.535570 | + | 0.927635i | ||||
\(475\) | −9.97747 | − | 6.30953i | −0.457797 | − | 0.289501i | ||||
\(476\) | −0.00552913 | − | 0.0875606i | −0.000253427 | − | 0.00401333i | ||||
\(477\) | 4.85453 | − | 1.57733i | 0.222274 | − | 0.0722211i | ||||
\(478\) | −14.9954 | + | 33.6803i | −0.685875 | + | 1.54050i | ||||
\(479\) | 1.13710 | + | 10.8187i | 0.0519552 | + | 0.494321i | 0.989298 | + | 0.145911i | \(0.0466115\pi\) |
−0.937342 | + | 0.348409i | \(0.886722\pi\) | |||||||
\(480\) | 0.598064 | − | 0.0824118i | 0.0272978 | − | 0.00376157i | ||||
\(481\) | 3.62755 | − | 34.5138i | 0.165402 | − | 1.57370i | ||||
\(482\) | − | 29.3298i | − | 1.33594i | ||||||
\(483\) | −17.0400 | + | 8.91333i | −0.775349 | + | 0.405570i | ||||
\(484\) | 0.0862344 | − | 0.265402i | 0.00391974 | − | 0.0120637i | ||||
\(485\) | −39.2612 | − | 15.9856i | −1.78276 | − | 0.725868i | ||||
\(486\) | −1.39972 | − | 0.297520i | −0.0634927 | − | 0.0134958i | ||||
\(487\) | −19.0765 | + | 17.1766i | −0.864439 | + | 0.778344i | −0.976536 | − | 0.215353i | \(-0.930910\pi\) |
0.112097 | + | 0.993697i | \(0.464243\pi\) | |||||||
\(488\) | −6.19800 | − | 29.1593i | −0.280570 | − | 1.31998i | ||||
\(489\) | 2.00328 | + | 6.16547i | 0.0905915 | + | 0.278812i | ||||
\(490\) | 10.1939 | + | 19.9444i | 0.460513 | + | 0.900998i | ||||
\(491\) | 5.23874 | − | 16.1232i | 0.236421 | − | 0.727629i | −0.760509 | − | 0.649328i | \(-0.775050\pi\) |
0.996930 | − | 0.0783012i | \(-0.0249496\pi\) | |||||||
\(492\) | 0.0982922 | + | 0.0103309i | 0.00443135 | + | 0.000465754i | ||||
\(493\) | −1.10843 | − | 0.639953i | −0.0499212 | − | 0.0288220i | ||||
\(494\) | 10.7541 | − | 4.78805i | 0.483852 | − | 0.215425i | ||||
\(495\) | −4.31241 | + | 2.67858i | −0.193828 | + | 0.120393i | ||||
\(496\) | −4.09971 | + | 2.97862i | −0.184083 | + | 0.133744i | ||||
\(497\) | 3.35838 | + | 19.8281i | 0.150644 | + | 0.889413i | ||||
\(498\) | −7.16421 | + | 2.32779i | −0.321036 | + | 0.104311i | ||||
\(499\) | −5.45634 | − | 9.45066i | −0.244259 | − | 0.423069i | 0.717664 | − | 0.696390i | \(-0.245211\pi\) |
−0.961923 | + | 0.273320i | \(0.911878\pi\) | |||||||
\(500\) | −0.522943 | + | 0.106750i | −0.0233867 | + | 0.00477399i | ||||
\(501\) | −10.1690 | + | 17.6132i | −0.454316 | + | 0.786899i | ||||
\(502\) | −27.7526 | − | 24.9886i | −1.23866 | − | 1.11529i | ||||
\(503\) | −0.243391 | − | 0.334999i | −0.0108523 | − | 0.0149369i | 0.803556 | − | 0.595229i | \(-0.202939\pi\) |
−0.814409 | + | 0.580292i | \(0.802939\pi\) | |||||||
\(504\) | −4.71274 | − | 5.69405i | −0.209922 | − | 0.253633i | ||||
\(505\) | −0.778390 | − | 24.1536i | −0.0346379 | − | 1.07482i | ||||
\(506\) | −2.46831 | + | 23.4844i | −0.109730 | + | 1.04401i | ||||
\(507\) | 0.744792 | + | 0.430006i | 0.0330774 | + | 0.0190972i | ||||
\(508\) | −0.226970 | − | 0.509783i | −0.0100702 | − | 0.0226180i | ||||
\(509\) | 16.9689 | − | 3.60684i | 0.752131 | − | 0.159870i | 0.184134 | − | 0.982901i | \(-0.441052\pi\) |
0.567997 | + | 0.823031i | \(0.307719\pi\) | |||||||
\(510\) | −0.754586 | − | 2.09070i | −0.0334136 | − | 0.0925776i | ||||
\(511\) | 4.02878 | + | 3.19166i | 0.178223 | + | 0.141191i | ||||
\(512\) | −20.6997 | − | 6.72575i | −0.914807 | − | 0.297239i | ||||
\(513\) | 0.490883 | + | 2.30942i | 0.0216730 | + | 0.101964i | ||||
\(514\) | 15.9267 | + | 3.38533i | 0.702498 | + | 0.149321i | ||||
\(515\) | −4.84592 | − | 35.1670i | −0.213537 | − | 1.54964i | ||||
\(516\) | 0.286778 | − | 0.0609565i | 0.0126247 | − | 0.00268346i | ||||
\(517\) | −3.78167 | + | 5.20502i | −0.166318 | + | 0.228917i | ||||
\(518\) | −20.8756 | − | 31.4046i | −0.917222 | − | 1.37984i | ||||
\(519\) | 7.36615 | + | 5.35182i | 0.323338 | + | 0.234919i | ||||
\(520\) | −8.20779 | + | 20.1586i | −0.359936 | + | 0.884015i | ||||
\(521\) | −2.91227 | − | 27.7084i | −0.127589 | − | 1.21393i | −0.851620 | − | 0.524160i | \(-0.824380\pi\) |
0.724031 | − | 0.689767i | \(-0.242287\pi\) | |||||||
\(522\) | 2.62223 | − | 0.275607i | 0.114772 | − | 0.0120630i | ||||
\(523\) | −2.89111 | − | 2.60317i | −0.126419 | − | 0.113829i | 0.603496 | − | 0.797366i | \(-0.293774\pi\) |
−0.729915 | + | 0.683537i | \(0.760441\pi\) | |||||||
\(524\) | 0.385064 | 0.0168216 | ||||||||
\(525\) | 9.07334 | + | 9.62676i | 0.395993 | + | 0.420146i | ||||
\(526\) | −28.7256 | −1.25250 | ||||||||
\(527\) | 0.639096 | + | 0.575444i | 0.0278395 | + | 0.0250668i | ||||
\(528\) | −9.24195 | + | 0.971368i | −0.402204 | + | 0.0422734i | ||||
\(529\) | 3.11809 | + | 29.6667i | 0.135569 | + | 1.28985i | ||||
\(530\) | −16.2900 | − | 1.18317i | −0.707591 | − | 0.0513935i | ||||
\(531\) | −4.92890 | − | 3.58105i | −0.213896 | − | 0.155404i | ||||
\(532\) | 0.132530 | − | 0.267135i | 0.00574591 | − | 0.0115818i | ||||
\(533\) | −4.24002 | + | 5.83589i | −0.183656 | + | 0.252780i | ||||
\(534\) | 22.4677 | − | 4.77565i | 0.972271 | − | 0.206663i | ||||
\(535\) | −7.22566 | + | 13.5017i | −0.312393 | + | 0.583730i | ||||
\(536\) | 12.2439 | + | 2.60253i | 0.528857 | + | 0.112412i | ||||
\(537\) | −1.32769 | − | 6.24627i | −0.0572938 | − | 0.269546i | ||||
\(538\) | 5.72247 | + | 1.85934i | 0.246713 | + | 0.0801620i | ||||
\(539\) | −6.77321 | − | 14.3766i | −0.291743 | − | 0.619243i | ||||
\(540\) | 0.0883350 | + | 0.0599292i | 0.00380133 | + | 0.00257894i | ||||
\(541\) | 27.9009 | − | 5.93052i | 1.19955 | − | 0.254973i | 0.435538 | − | 0.900170i | \(-0.356558\pi\) |
0.764016 | + | 0.645197i | \(0.223225\pi\) | |||||||
\(542\) | 10.5471 | + | 23.6893i | 0.453039 | + | 1.01754i | ||||
\(543\) | −4.05588 | − | 2.34166i | −0.174054 | − | 0.100490i | ||||
\(544\) | 0.0196038 | − | 0.186518i | 0.000840508 | − | 0.00799690i | ||||
\(545\) | 0.244741 | + | 0.0708916i | 0.0104835 | + | 0.00303666i | ||||
\(546\) | −13.0063 | + | 2.20294i | −0.556618 | + | 0.0942770i | ||||
\(547\) | −9.63351 | − | 13.2594i | −0.411899 | − | 0.566931i | 0.551781 | − | 0.833989i | \(-0.313948\pi\) |
−0.963680 | + | 0.267058i | \(0.913948\pi\) | |||||||
\(548\) | −0.462011 | − | 0.415996i | −0.0197361 | − | 0.0177705i | ||||
\(549\) | 5.33541 | − | 9.24119i | 0.227710 | − | 0.394405i | ||||
\(550\) | 16.0122 | − | 2.73460i | 0.682762 | − | 0.116604i | ||||
\(551\) | −2.17514 | − | 3.76746i | −0.0926642 | − | 0.160499i | ||||
\(552\) | −19.3118 | + | 6.27478i | −0.821964 | + | 0.267072i | ||||
\(553\) | −33.2158 | + | 27.4914i | −1.41248 | + | 1.16905i | ||||
\(554\) | −25.9345 | + | 18.8425i | −1.10185 | + | 0.800542i | ||||
\(555\) | −17.0226 | − | 14.3619i | −0.722568 | − | 0.609628i | ||||
\(556\) | 0.467711 | − | 0.208239i | 0.0198354 | − | 0.00883128i | ||||
\(557\) | −38.9401 | − | 22.4821i | −1.64995 | − | 0.952597i | −0.977091 | − | 0.212824i | \(-0.931734\pi\) |
−0.672856 | − | 0.739773i | \(-0.734933\pi\) | |||||||
\(558\) | −1.76191 | − | 0.185185i | −0.0745878 | − | 0.00783949i | ||||
\(559\) | −6.61254 | + | 20.3513i | −0.279681 | + | 0.860769i | ||||
\(560\) | 7.26528 | + | 23.1001i | 0.307014 | + | 0.976158i | ||||
\(561\) | 0.487336 | + | 1.49987i | 0.0205753 | + | 0.0633244i | ||||
\(562\) | −4.28342 | − | 20.1519i | −0.180685 | − | 0.850058i | ||||
\(563\) | −21.7365 | + | 19.5717i | −0.916086 | + | 0.824848i | −0.984961 | − | 0.172778i | \(-0.944726\pi\) |
0.0688747 | + | 0.997625i | \(0.478059\pi\) | |||||||
\(564\) | 0.132327 | + | 0.0281269i | 0.00557196 | + | 0.00118436i | ||||
\(565\) | −37.6488 | + | 9.27935i | −1.58390 | + | 0.390385i | ||||
\(566\) | −2.34999 | + | 7.23252i | −0.0987774 | + | 0.304006i | ||||
\(567\) | 0.110183 | − | 2.64346i | 0.00462724 | − | 0.111015i | ||||
\(568\) | 21.2349i | 0.890996i | ||||||||
\(569\) | 2.29410 | − | 21.8269i | 0.0961738 | − | 0.915032i | −0.834949 | − | 0.550327i | \(-0.814503\pi\) |
0.931123 | − | 0.364705i | \(-0.118830\pi\) | |||||||
\(570\) | 1.33189 | − | 7.43644i | 0.0557867 | − | 0.311478i | ||||
\(571\) | −2.38115 | − | 22.6551i | −0.0996480 | − | 0.948087i | −0.924099 | − | 0.382154i | \(-0.875183\pi\) |
0.824451 | − | 0.565934i | \(-0.191484\pi\) | |||||||
\(572\) | −0.153594 | + | 0.344977i | −0.00642207 | + | 0.0144242i | ||||
\(573\) | 5.40293 | − | 1.75552i | 0.225711 | − | 0.0733379i | ||||
\(574\) | 0.493981 | + | 7.82280i | 0.0206184 | + | 0.326517i | ||||
\(575\) | 33.7686 | − | 13.4325i | 1.40825 | − | 0.560172i | ||||
\(576\) | −3.90002 | − | 6.75503i | −0.162501 | − | 0.281460i | ||||
\(577\) | −4.46015 | + | 20.9834i | −0.185678 | + | 0.873549i | 0.782376 | + | 0.622807i | \(0.214008\pi\) |
−0.968054 | + | 0.250742i | \(0.919326\pi\) | |||||||
\(578\) | 23.5069 | − | 2.47067i | 0.977758 | − | 0.102766i | ||||
\(579\) | −14.2132 | − | 6.32815i | −0.590682 | − | 0.262989i | ||||
\(580\) | −0.188918 | − | 0.0547219i | −0.00784438 | − | 0.00227220i | ||||
\(581\) | −6.45541 | − | 12.3411i | −0.267816 | − | 0.511996i | ||||
\(582\) | − | 27.1284i | − | 1.12451i | ||||||
\(583\) | 11.5250 | + | 1.21133i | 0.477317 | + | 0.0501681i | ||||
\(584\) | 3.63149 | + | 4.03318i | 0.150272 | + | 0.166894i | ||||
\(585\) | −7.01169 | + | 3.39650i | −0.289898 | + | 0.140428i | ||||
\(586\) | 15.9679 | − | 17.7341i | 0.659627 | − | 0.732590i | ||||
\(587\) | 19.9334 | + | 6.47675i | 0.822739 | + | 0.267324i | 0.689984 | − | 0.723825i | \(-0.257618\pi\) |
0.132755 | + | 0.991149i | \(0.457618\pi\) | |||||||
\(588\) | −0.218234 | + | 0.253063i | −0.00899983 | + | 0.0104361i | ||||
\(589\) | 0.903264 | + | 2.77996i | 0.0372183 | + | 0.114546i | ||||
\(590\) | 10.2860 | + | 16.5601i | 0.423469 | + | 0.681768i | ||||
\(591\) | −3.91628 | − | 4.34947i | −0.161094 | − | 0.178913i | ||||
\(592\) | −16.5823 | − | 37.2445i | −0.681530 | − | 1.53074i | ||||
\(593\) | −17.6576 | + | 10.1946i | −0.725110 | + | 0.418643i | −0.816631 | − | 0.577160i | \(-0.804161\pi\) |
0.0915203 | + | 0.995803i | \(0.470827\pi\) | |||||||
\(594\) | −2.62834 | − | 1.90960i | −0.107842 | − | 0.0783518i | ||||
\(595\) | 3.57821 | − | 2.02108i | 0.146692 | − | 0.0828561i | ||||
\(596\) | 0.0240638 | − | 0.0174834i | 0.000985691 | − | 0.000716147i | ||||
\(597\) | −3.94519 | + | 8.86104i | −0.161466 | + | 0.362658i | ||||
\(598\) | −7.53470 | + | 35.4480i | −0.308117 | + | 1.44958i | ||||
\(599\) | 8.20202 | − | 14.2063i | 0.335125 | − | 0.580454i | −0.648383 | − | 0.761314i | \(-0.724555\pi\) |
0.983509 | + | 0.180860i | \(0.0578880\pi\) | |||||||
\(600\) | 7.74856 | + | 11.6222i | 0.316334 | + | 0.474473i | ||||
\(601\) | 27.9087 | 1.13842 | 0.569210 | − | 0.822192i | \(-0.307249\pi\) | ||||
0.569210 | + | 0.822192i | \(0.307249\pi\) | |||||||
\(602\) | 8.56468 | + | 21.6173i | 0.349070 | + | 0.881057i | ||||
\(603\) | 2.63366 | + | 3.62492i | 0.107251 | + | 0.147618i | ||||
\(604\) | −0.790566 | − | 0.351983i | −0.0321677 | − | 0.0143220i | ||||
\(605\) | 12.9489 | − | 1.78433i | 0.526449 | − | 0.0725434i | ||||
\(606\) | 14.1283 | − | 6.29033i | 0.573924 | − | 0.255527i | ||||
\(607\) | −38.4679 | + | 22.2094i | −1.56136 | + | 0.901453i | −0.564243 | + | 0.825609i | \(0.690832\pi\) |
−0.997120 | + | 0.0758443i | \(0.975835\pi\) | |||||||
\(608\) | 0.374684 | − | 0.515708i | 0.0151954 | − | 0.0209147i | ||||
\(609\) | 1.31205 | + | 4.69504i | 0.0531668 | + | 0.190253i | ||||
\(610\) | −26.9626 | + | 20.9489i | −1.09169 | + | 0.848197i | ||||
\(611\) | −6.60691 | + | 7.33772i | −0.267287 | + | 0.296852i | ||||
\(612\) | 0.0246432 | − | 0.0221888i | 0.000996143 | − | 0.000896931i | ||||
\(613\) | −21.3637 | + | 19.2360i | −0.862873 | + | 0.776935i | −0.976257 | − | 0.216617i | \(-0.930498\pi\) |
0.113383 | + | 0.993551i | \(0.463831\pi\) | |||||||
\(614\) | 20.9042 | − | 23.2164i | 0.843624 | − | 0.936939i | ||||
\(615\) | 1.57164 | + | 4.35446i | 0.0633745 | + | 0.175589i | ||||
\(616\) | −4.51640 | − | 16.1615i | −0.181971 | − | 0.651167i | ||||
\(617\) | 2.13007 | − | 2.93179i | 0.0857534 | − | 0.118029i | −0.763985 | − | 0.645234i | \(-0.776760\pi\) |
0.849738 | + | 0.527205i | \(0.176760\pi\) | |||||||
\(618\) | 19.6744 | − | 11.3590i | 0.791422 | − | 0.456928i | ||||
\(619\) | 32.7467 | − | 14.5798i | 1.31620 | − | 0.586011i | 0.375998 | − | 0.926621i | \(-0.377300\pi\) |
0.940205 | + | 0.340609i | \(0.110633\pi\) | |||||||
\(620\) | 0.116518 | + | 0.0623566i | 0.00467949 | + | 0.00250430i | ||||
\(621\) | −6.64004 | − | 2.95634i | −0.266456 | − | 0.118634i | ||||
\(622\) | 7.51461 | + | 10.3430i | 0.301309 | + | 0.414716i | ||||
\(623\) | 15.6428 | + | 39.4825i | 0.626714 | + | 1.58183i | ||||
\(624\) | −14.2617 | −0.570926 | ||||||||
\(625\) | −15.1786 | − | 19.8648i | −0.607143 | − | 0.794592i | ||||
\(626\) | 10.7637 | − | 18.6432i | 0.430202 | − | 0.745132i | ||||
\(627\) | −1.11446 | + | 5.24312i | −0.0445073 | + | 0.209390i | ||||
\(628\) | 0.0455155 | − | 0.102229i | 0.00181627 | − | 0.00407940i | ||||
\(629\) | −5.59741 | + | 4.06675i | −0.223183 | + | 0.162152i | ||||
\(630\) | −3.51624 | + | 7.70109i | −0.140091 | + | 0.306819i | ||||
\(631\) | −5.28513 | − | 3.83987i | −0.210398 | − | 0.152863i | 0.477596 | − | 0.878580i | \(-0.341508\pi\) |
−0.687994 | + | 0.725717i | \(0.741508\pi\) | |||||||
\(632\) | −39.4280 | + | 22.7637i | −1.56836 | + | 0.905493i | ||||
\(633\) | −7.00561 | − | 15.7349i | −0.278448 | − | 0.625405i | ||||
\(634\) | 29.4189 | + | 32.6730i | 1.16837 | + | 1.29761i | ||||
\(635\) | 16.8552 | − | 19.9778i | 0.668876 | − | 0.792793i | ||||
\(636\) | −0.0752987 | − | 0.231746i | −0.00298579 | − | 0.00918931i | ||||
\(637\) | −8.03160 | − | 23.0294i | −0.318224 | − | 0.912458i | ||||
\(638\) | 5.69310 | + | 1.84980i | 0.225392 | + | 0.0732343i | ||||
\(639\) | −5.08611 | + | 5.64869i | −0.201203 | + | 0.223459i | ||||
\(640\) | 3.57185 | + | 25.9210i | 0.141190 | + | 1.02462i | ||||
\(641\) | 4.70115 | + | 5.22116i | 0.185684 | + | 0.206223i | 0.828799 | − | 0.559547i | \(-0.189025\pi\) |
−0.643114 | + | 0.765770i | \(0.722358\pi\) | |||||||
\(642\) | −9.74639 | − | 1.02439i | −0.384660 | − | 0.0404293i | ||||
\(643\) | 6.68439i | 0.263607i | 0.991276 | + | 0.131803i | \(0.0420767\pi\) | ||||
−0.991276 | + | 0.131803i | \(0.957923\pi\) | |||||||
\(644\) | 0.425505 | + | 0.813458i | 0.0167672 | + | 0.0320547i | ||||
\(645\) | 8.42566 | + | 10.8444i | 0.331760 | + | 0.426997i | ||||
\(646\) | −2.14401 | − | 0.954573i | −0.0843548 | − | 0.0375572i | ||||
\(647\) | 41.3385 | − | 4.34485i | 1.62519 | − | 0.170814i | 0.752328 | − | 0.658789i | \(-0.228931\pi\) |
0.872858 | + | 0.487975i | \(0.162264\pi\) | |||||||
\(648\) | 0.580837 | − | 2.73262i | 0.0228174 | − | 0.107348i | ||||
\(649\) | −6.91590 | − | 11.9787i | −0.271473 | − | 0.470205i | ||||
\(650\) | 24.8779 | − | 1.60513i | 0.975793 | − | 0.0629584i | ||||
\(651\) | −0.206427 | − | 3.26902i | −0.00809050 | − | 0.128123i | ||||
\(652\) | 0.294327 | − | 0.0956327i | 0.0115267 | − | 0.00374527i | ||||
\(653\) | −3.62194 | + | 8.13502i | −0.141738 | + | 0.318348i | −0.970440 | − | 0.241341i | \(-0.922413\pi\) |
0.828703 | + | 0.559689i | \(0.189079\pi\) | |||||||
\(654\) | 0.0170446 | + | 0.162169i | 0.000666498 | + | 0.00634131i | ||||
\(655\) | 7.86304 | + | 16.2324i | 0.307235 | + | 0.634251i | ||||
\(656\) | −0.885804 | + | 8.42786i | −0.0345848 | + | 0.329053i | ||||
\(657\) | 1.94267i | 0.0757907i | ||||||||
\(658\) | −0.446816 | + | 10.7198i | −0.0174187 | + | 0.417902i | ||||
\(659\) | −5.53521 | + | 17.0356i | −0.215621 | + | 0.663613i | 0.783488 | + | 0.621407i | \(0.213439\pi\) |
−0.999109 | + | 0.0422063i | \(0.986561\pi\) | |||||||
\(660\) | 0.127870 | + | 0.205866i | 0.00497734 | + | 0.00801332i | ||||
\(661\) | 1.93335 | + | 0.410947i | 0.0751988 | + | 0.0159840i | 0.245357 | − | 0.969433i | \(-0.421095\pi\) |
−0.170159 | + | 0.985417i | \(0.554428\pi\) | |||||||
\(662\) | 10.4595 | − | 9.41780i | 0.406521 | − | 0.366033i | ||||
\(663\) | 0.503208 | + | 2.36741i | 0.0195430 | + | 0.0919425i | ||||
\(664\) | −4.54446 | − | 13.9864i | −0.176359 | − | 0.542778i | ||||
\(665\) | 13.9673 | + | 0.131880i | 0.541630 | + | 0.00511407i | ||||
\(666\) | 4.40443 | − | 13.5554i | 0.170668 | − | 0.525262i | ||||
\(667\) | 13.3191 | + | 1.39989i | 0.515716 | + | 0.0542039i | ||||
\(668\) | 0.840818 | + | 0.485447i | 0.0325322 | + | 0.0187825i | ||||
\(669\) | 6.85081 | − | 3.05018i | 0.264868 | − | 0.117927i | ||||
\(670\) | −3.43103 | − | 13.9206i | −0.132552 | − | 0.537799i | ||||
\(671\) | 19.5993 | − | 14.2398i | 0.756624 | − | 0.549720i | ||||
\(672\) | −0.550292 | + | 0.455455i | −0.0212280 | + | 0.0175696i | ||||
\(673\) | 19.8646 | − | 6.45440i | 0.765724 | − | 0.248799i | 0.0999902 | − | 0.994988i | \(-0.468119\pi\) |
0.665733 | + | 0.746190i | \(0.268119\pi\) | |||||||
\(674\) | 17.3099 | + | 29.9816i | 0.666753 | + | 1.15485i | ||||
\(675\) | −0.722505 | + | 4.94752i | −0.0278092 | + | 0.190430i | ||||
\(676\) | 0.0205276 | − | 0.0355549i | 0.000789524 | − | 0.00136750i | ||||
\(677\) | −21.0206 | − | 18.9271i | −0.807888 | − | 0.727426i | 0.157704 | − | 0.987486i | \(-0.449591\pi\) |
−0.965592 | + | 0.260061i | \(0.916257\pi\) | |||||||
\(678\) | −14.5857 | − | 20.0755i | −0.560161 | − | 0.770996i | ||||
\(679\) | 49.4532 | − | 8.37611i | 1.89784 | − | 0.321446i | ||||
\(680\) | 4.08159 | − | 1.47315i | 0.156522 | − | 0.0564927i | ||||
\(681\) | 1.72106 | − | 16.3748i | 0.0659511 | − | 0.627483i | ||||
\(682\) | −3.48327 | − | 2.01107i | −0.133381 | − | 0.0770078i | ||||
\(683\) | 14.3911 | + | 32.3229i | 0.550659 | + | 1.23680i | 0.947748 | + | 0.319020i | \(0.103354\pi\) |
−0.397089 | + | 0.917780i | \(0.629979\pi\) | |||||||
\(684\) | 0.110247 | − | 0.0234338i | 0.00421541 | − | 0.000896013i | ||||
\(685\) | 8.10200 | − | 27.9707i | 0.309562 | − | 1.06871i | ||||
\(686\) | −22.6787 | − | 13.7132i | −0.865875 | − | 0.523574i | ||||
\(687\) | −22.0878 | − | 7.17676i | −0.842702 | − | 0.273810i | ||||
\(688\) | 5.22659 | + | 24.5892i | 0.199262 | + | 0.937454i | ||||
\(689\) | 17.3962 | + | 3.69767i | 0.662742 | + | 0.140870i | ||||
\(690\) | 16.1109 | + | 16.7735i | 0.613333 | + | 0.638554i | ||||
\(691\) | 18.0060 | − | 3.82729i | 0.684979 | − | 0.145597i | 0.147739 | − | 0.989026i | \(-0.452800\pi\) |
0.537240 | + | 0.843429i | \(0.319467\pi\) | |||||||
\(692\) | 0.255485 | − | 0.351646i | 0.00971210 | − | 0.0133676i | ||||
\(693\) | 2.66955 | − | 5.38088i | 0.101408 | − | 0.204403i | ||||
\(694\) | −36.6100 | − | 26.5987i | −1.38970 | − | 1.00967i | ||||
\(695\) | 18.3290 | + | 15.4641i | 0.695259 | + | 0.586587i | ||||
\(696\) | 0.538057 | + | 5.11927i | 0.0203950 | + | 0.194046i | ||||
\(697\) | 1.43026 | − | 0.150326i | 0.0541748 | − | 0.00569401i | ||||
\(698\) | −9.55621 | − | 8.60445i | −0.361708 | − | 0.325683i | ||||
\(699\) | 14.5541 | 0.550485 | ||||||||
\(700\) | 0.459563 | − | 0.433143i | 0.0173698 | − | 0.0163713i | ||||
\(701\) | 34.6278 | 1.30788 | 0.653938 | − | 0.756549i | \(-0.273116\pi\) | ||||
0.653938 | + | 0.756549i | \(0.273116\pi\) | |||||||
\(702\) | −3.70527 | − | 3.33624i | −0.139846 | − | 0.125918i | ||||
\(703\) | −23.3875 | + | 2.45812i | −0.882075 | + | 0.0927098i | ||||
\(704\) | −1.85105 | − | 17.6116i | −0.0697640 | − | 0.663761i | ||||
\(705\) | 1.51644 | + | 6.15258i | 0.0571123 | + | 0.231720i | ||||
\(706\) | 1.11506 | + | 0.810140i | 0.0419659 | + | 0.0304900i | ||||
\(707\) | 15.8291 | + | 23.8127i | 0.595313 | + | 0.895570i | ||||
\(708\) | −0.170952 | + | 0.235296i | −0.00642478 | + | 0.00884296i | ||||
\(709\) | −45.8805 | + | 9.75220i | −1.72308 | + | 0.366252i | −0.959988 | − | 0.280041i | \(-0.909652\pi\) |
−0.763090 | + | 0.646292i | \(0.776319\pi\) | |||||||
\(710\) | 21.8890 | − | 10.6031i | 0.821478 | − | 0.397929i | ||||
\(711\) | −15.9405 | − | 3.38826i | −0.597816 | − | 0.127070i | ||||
\(712\) | 9.32332 | + | 43.8628i | 0.349406 | + | 1.64383i | ||||
\(713\) | −8.55815 | − | 2.78071i | −0.320505 | − | 0.104138i | ||||
\(714\) | 2.06144 | + | 1.63311i | 0.0771476 | + | 0.0611174i | ||||
\(715\) | −17.6789 | + | 0.569731i | −0.661153 | + | 0.0213067i | ||||
\(716\) | −0.298184 | + | 0.0633811i | −0.0111437 | + | 0.00236866i | ||||
\(717\) | −10.4790 | − | 23.5363i | −0.391347 | − | 0.878980i | ||||
\(718\) | −2.06323 | − | 1.19121i | −0.0769991 | − | 0.0444554i | ||||
\(719\) | −2.38838 | + | 22.7239i | −0.0890715 | + | 0.847459i | 0.855202 | + | 0.518296i | \(0.173433\pi\) |
−0.944273 | + | 0.329163i | \(0.893233\pi\) | |||||||
\(720\) | −5.13851 | + | 7.57410i | −0.191501 | + | 0.282270i | ||||
\(721\) | 26.7814 | + | 32.3579i | 0.997391 | + | 1.20507i | ||||
\(722\) | 11.2925 | + | 15.5428i | 0.420263 | + | 0.578442i | ||||
\(723\) | 15.2316 | + | 13.7146i | 0.566469 | + | 0.510051i | ||||
\(724\) | −0.111786 | + | 0.193620i | −0.00415451 | + | 0.00719582i | ||||
\(725\) | −1.55092 | − | 9.08125i | −0.0575997 | − | 0.337269i | ||||
\(726\) | 4.18255 | + | 7.24438i | 0.155229 | + | 0.268864i | ||||
\(727\) | −29.5350 | + | 9.59651i | −1.09539 | + | 0.355915i | −0.800328 | − | 0.599562i | \(-0.795341\pi\) |
−0.295065 | + | 0.955477i | \(0.595341\pi\) | |||||||
\(728\) | −4.30071 | − | 25.3917i | −0.159395 | − | 0.941079i | ||||
\(729\) | 0.809017 | − | 0.587785i | 0.0299636 | − | 0.0217698i | ||||
\(730\) | 2.34411 | − | 5.75722i | 0.0867594 | − | 0.213084i | ||||
\(731\) | 3.89733 | − | 1.73520i | 0.144148 | − | 0.0641787i | ||||
\(732\) | −0.441156 | − | 0.254702i | −0.0163056 | − | 0.00941405i | ||||
\(733\) | 47.8806 | + | 5.03246i | 1.76851 | + | 0.185878i | 0.932094 | − | 0.362215i | \(-0.117979\pi\) |
0.836417 | + | 0.548093i | \(0.184646\pi\) | |||||||
\(734\) | 8.52742 | − | 26.2447i | 0.314753 | − | 0.968710i | ||||
\(735\) | −15.1242 | − | 4.03209i | −0.557866 | − | 0.148726i | ||||
\(736\) | 0.606415 | + | 1.86635i | 0.0223528 | + | 0.0687948i | ||||
\(737\) | 2.11498 | + | 9.95021i | 0.0779064 | + | 0.366521i | ||||
\(738\) | −2.20166 | + | 1.98239i | −0.0810444 | + | 0.0729727i | ||||
\(739\) | 14.7960 | + | 3.14499i | 0.544280 | + | 0.115690i | 0.471843 | − | 0.881683i | \(-0.343589\pi\) |
0.0724373 | + | 0.997373i | \(0.476922\pi\) | |||||||
\(740\) | −0.685608 | + | 0.812624i | −0.0252034 | + | 0.0298727i | ||||
\(741\) | −2.54209 | + | 7.82374i | −0.0933859 | + | 0.287412i | ||||
\(742\) | 17.1241 | − | 8.95730i | 0.628646 | − | 0.328833i | ||||
\(743\) | − | 3.42591i | − | 0.125685i | −0.998023 | − | 0.0628423i | \(-0.979983\pi\) | ||
0.998023 | − | 0.0628423i | \(-0.0200165\pi\) | |||||||
\(744\) | 0.361529 | − | 3.43972i | 0.0132543 | − | 0.126106i | ||||
\(745\) | 1.22840 | + | 0.657396i | 0.0450050 | + | 0.0240851i | ||||
\(746\) | 3.36315 | + | 31.9982i | 0.123134 | + | 1.17154i | ||||
\(747\) | 2.14111 | − | 4.80900i | 0.0783389 | − | 0.175952i | ||||
\(748\) | 0.0716006 | − | 0.0232644i | 0.00261798 | − | 0.000850632i | ||||
\(749\) | −1.14189 | − | 18.0833i | −0.0417239 | − | 0.660749i | ||||
\(750\) | 8.11109 | − | 13.7905i | 0.296175 | − | 0.503557i | ||||
\(751\) | 7.07688 | + | 12.2575i | 0.258239 | + | 0.447283i | 0.965770 | − | 0.259399i | \(-0.0835244\pi\) |
−0.707531 | + | 0.706682i | \(0.750191\pi\) | |||||||
\(752\) | −2.41168 | + | 11.3461i | −0.0879450 | + | 0.413749i | ||||
\(753\) | 25.9542 | − | 2.72790i | 0.945823 | − | 0.0994100i | ||||
\(754\) | 8.39257 | + | 3.73661i | 0.305640 | + | 0.136079i | ||||
\(755\) | −1.30562 | − | 40.5138i | −0.0475165 | − | 1.47445i | ||||
\(756\) | −0.126193 | − | 0.00525990i | −0.00458961 | − | 0.000191301i | ||||
\(757\) | − | 44.9695i | − | 1.63445i | −0.576322 | − | 0.817223i | \(-0.695512\pi\) | ||
0.576322 | − | 0.817223i | \(-0.304488\pi\) | |||||||
\(758\) | 2.47935 | + | 0.260590i | 0.0900541 | + | 0.00946506i | ||||
\(759\) | −11.0418 | − | 12.2631i | −0.400790 | − | 0.445123i | ||||
\(760\) | 14.5179 | + | 2.60020i | 0.526619 | + | 0.0943191i | ||||
\(761\) | 1.32278 | − | 1.46910i | 0.0479508 | − | 0.0532548i | −0.718692 | − | 0.695328i | \(-0.755259\pi\) |
0.766643 | + | 0.642074i | \(0.221926\pi\) | |||||||
\(762\) | 15.9087 | + | 5.16905i | 0.576311 | + | 0.187255i | ||||
\(763\) | −0.290360 | + | 0.0811422i | −0.0105117 | + | 0.00293755i | ||||
\(764\) | −0.0838050 | − | 0.257925i | −0.00303196 | − | 0.00933141i | ||||
\(765\) | 1.43859 | + | 0.585735i | 0.0520122 | + | 0.0211773i | ||||
\(766\) | −24.4075 | − | 27.1072i | −0.881877 | − | 0.979424i | ||||
\(767\) | −8.63405 | − | 19.3924i | −0.311757 | − | 0.700219i | ||||
\(768\) | −0.991655 | + | 0.572532i | −0.0357833 | + | 0.0206595i | ||||
\(769\) | −21.4646 | − | 15.5950i | −0.774034 | − | 0.562369i | 0.129148 | − | 0.991625i | \(-0.458776\pi\) |
−0.903183 | + | 0.429256i | \(0.858776\pi\) | |||||||
\(770\) | −14.4042 | + | 12.7254i | −0.519091 | + | 0.458591i | ||||
\(771\) | −9.20540 | + | 6.68812i | −0.331525 | + | 0.240867i | ||||
\(772\) | −0.302093 | + | 0.678512i | −0.0108726 | + | 0.0244202i | ||||
\(773\) | 6.31047 | − | 29.6884i | 0.226972 | − | 1.06782i | −0.706096 | − | 0.708117i | \(-0.749545\pi\) |
0.933067 | − | 0.359702i | \(-0.117122\pi\) | |||||||
\(774\) | −4.39424 | + | 7.61106i | −0.157948 | + | 0.273574i | ||||
\(775\) | −0.249328 | + | 6.18515i | −0.00895611 | + | 0.222177i | ||||
\(776\) | 52.9617 | 1.90121 | ||||||||
\(777\) | 26.0705 | + | 3.84361i | 0.935274 | + | 0.137889i | ||||
\(778\) | −16.2551 | − | 22.3732i | −0.582773 | − | 0.802118i | ||||
\(779\) | 4.46549 | + | 1.98817i | 0.159993 | + | 0.0712334i | ||||
\(780\) | 0.162142 | + | 0.334724i | 0.00580562 | + | 0.0119850i | ||||
\(781\) | −15.7649 | + | 7.01899i | −0.564113 | + | 0.251159i | ||||
\(782\) | 6.25702 | − | 3.61249i | 0.223751 | − | 0.129183i | ||||
\(783\) | −1.08302 | + | 1.49065i | −0.0387041 | + | 0.0532716i | ||||
\(784\) | −21.6983 | − | 18.7120i | −0.774941 | − | 0.668287i | ||||
\(785\) | 5.23891 | − | 0.168832i | 0.186985 | − | 0.00602589i | ||||
\(786\) | −7.72354 | + | 8.57786i | −0.275490 | + | 0.305962i | ||||
\(787\) | −12.8837 | + | 11.6006i | −0.459255 | + | 0.413515i | −0.866014 | − | 0.500020i | \(-0.833326\pi\) |
0.406758 | + | 0.913536i | \(0.366659\pi\) | |||||||
\(788\) | −0.207635 | + | 0.186956i | −0.00739670 | + | 0.00666002i | ||||
\(789\) | 13.4321 | − | 14.9178i | 0.478195 | − | 0.531089i | ||||
\(790\) | 43.1523 | + | 29.2759i | 1.53529 | + | 1.04159i | ||||
\(791\) | 32.0928 | − | 32.7872i | 1.14109 | − | 1.16578i | ||||
\(792\) | 3.72804 | − | 5.13121i | 0.132470 | − | 0.182329i | ||||
\(793\) | 32.1986 | − | 18.5899i | 1.14341 | − | 0.660146i | ||||
\(794\) | 11.9715 | − | 5.33007i | 0.424854 | − | 0.189157i | ||||
\(795\) | 8.23162 | − | 7.90648i | 0.291946 | − | 0.280414i | ||||
\(796\) | 0.423009 | + | 0.188336i | 0.0149931 | + | 0.00667538i | ||||
\(797\) | 27.9961 | + | 38.5333i | 0.991672 | + | 1.36492i | 0.930298 | + | 0.366805i | \(0.119548\pi\) |
0.0613741 | + | 0.998115i | \(0.480452\pi\) | |||||||
\(798\) | 3.29256 | + | 8.31044i | 0.116555 | + | 0.294187i | ||||
\(799\) | 1.96851 | 0.0696409 | ||||||||
\(800\) | 1.12321 | − | 0.748847i | 0.0397113 | − | 0.0264758i | ||||
\(801\) | −8.02576 | + | 13.9010i | −0.283576 | + | 0.491169i | ||||
\(802\) | 3.81365 | − | 17.9418i | 0.134665 | − | 0.633548i | ||||
\(803\) | −1.79390 | + | 4.02917i | −0.0633054 | + | 0.142186i | ||||
\(804\) | 0.173047 | − | 0.125726i | 0.00610289 | − | 0.00443401i | ||||
\(805\) | −25.6025 | + | 34.5480i | −0.902368 | + | 1.21766i | ||||
\(806\) | −4.99387 | − | 3.62826i | −0.175902 | − | 0.127800i | ||||
\(807\) | −3.64142 | + | 2.10237i | −0.128184 | + | 0.0740071i | ||||
\(808\) | 12.2804 | + | 27.5822i | 0.432022 | + | 0.970337i | ||||
\(809\) | 1.15274 | + | 1.28025i | 0.0405283 | + | 0.0450112i | 0.763068 | − | 0.646318i | \(-0.223692\pi\) |
−0.722540 | + | 0.691329i | \(0.757025\pi\) | |||||||
\(810\) | −3.10682 | + | 0.765742i | −0.109163 | + | 0.0269054i | ||||
\(811\) | −1.76111 | − | 5.42014i | −0.0618410 | − | 0.190327i | 0.915363 | − | 0.402630i | \(-0.131904\pi\) |
−0.977204 | + | 0.212303i | \(0.931904\pi\) | |||||||
\(812\) | 0.224132 | − | 0.0626345i | 0.00786549 | − | 0.00219804i | ||||
\(813\) | −17.2342 | − | 5.59973i | −0.604429 | − | 0.196391i | ||||
\(814\) | 21.6523 | − | 24.0473i | 0.758913 | − | 0.842859i | ||||
\(815\) | 10.0416 | + | 10.4545i | 0.351742 | + | 0.366206i | ||||
\(816\) | 1.90254 | + | 2.11298i | 0.0666021 | + | 0.0739691i | ||||
\(817\) | 14.4208 | + | 1.51569i | 0.504521 | + | 0.0530273i | ||||
\(818\) | 0.618682i | 0.0216317i | ||||||||
\(819\) | 4.93770 | − | 7.78454i | 0.172537 | − | 0.272014i | ||||
\(820\) | 0.207873 | − | 0.0750269i | 0.00725926 | − | 0.00262005i | ||||
\(821\) | −33.1650 | − | 14.7660i | −1.15747 | − | 0.515338i | −0.264025 | − | 0.964516i | \(-0.585050\pi\) |
−0.893442 | + | 0.449178i | \(0.851717\pi\) | |||||||
\(822\) | 18.5339 | − | 1.94799i | 0.646442 | − | 0.0679438i | ||||
\(823\) | 0.146282 | − | 0.688202i | 0.00509907 | − | 0.0239892i | −0.975525 | − | 0.219891i | \(-0.929430\pi\) |
0.980624 | + | 0.195901i | \(0.0627633\pi\) | |||||||
\(824\) | 22.1758 | + | 38.4097i | 0.772532 | + | 1.33806i | ||||
\(825\) | −6.06715 | + | 9.59417i | −0.211231 | + | 0.334026i | ||||
\(826\) | −20.6631 | − | 10.2513i | −0.718963 | − | 0.356689i | ||||
\(827\) | −36.7551 | + | 11.9424i | −1.27810 | + | 0.415279i | −0.867910 | − | 0.496721i | \(-0.834537\pi\) |
−0.410188 | + | 0.912001i | \(0.634537\pi\) | |||||||
\(828\) | −0.141130 | + | 0.316982i | −0.00490459 | + | 0.0110159i | ||||
\(829\) | 0.364965 | + | 3.47241i | 0.0126758 | + | 0.120602i | 0.999030 | − | 0.0440353i | \(-0.0140214\pi\) |
−0.986354 | + | 0.164637i | \(0.947355\pi\) | |||||||
\(830\) | −12.1481 | + | 11.6682i | −0.421665 | + | 0.405010i | ||||
\(831\) | 2.34163 | − | 22.2791i | 0.0812302 | − | 0.772853i | ||||
\(832\) | − | 27.1773i | − | 0.942203i | ||||||
\(833\) | −2.34055 | + | 4.26210i | −0.0810952 | + | 0.147673i | ||||
\(834\) | −4.74245 | + | 14.5958i | −0.164218 | + | 0.505410i | ||||
\(835\) | −3.29439 | + | 45.3575i | −0.114007 | + | 1.56966i | ||||
\(836\) | 0.250296 | + | 0.0532021i | 0.00865668 | + | 0.00184003i | ||||
\(837\) | 0.920040 | − | 0.828407i | 0.0318012 | − | 0.0286339i | ||||
\(838\) | −6.94271 | − | 32.6629i | −0.239832 | − | 1.12832i | ||||
\(839\) | 5.71284 | + | 17.5823i | 0.197229 | + | 0.607008i | 0.999943 | + | 0.0106447i | \(0.00338837\pi\) |
−0.802714 | + | 0.596364i | \(0.796612\pi\) | |||||||
\(840\) | −15.0346 | − | 6.86463i | −0.518741 | − | 0.236852i | ||||
\(841\) | −7.91239 | + | 24.3518i | −0.272841 | + | 0.839718i | ||||
\(842\) | −3.30718 | − | 0.347598i | −0.113973 | − | 0.0119790i | ||||
\(843\) | 12.4683 | + | 7.19855i | 0.429429 | + | 0.247931i | ||||
\(844\) | −0.751151 | + | 0.334434i | −0.0258557 | + | 0.0115117i | ||||
\(845\) | 1.91799 | + | 0.139307i | 0.0659809 | + | 0.00479230i | ||||
\(846\) | −3.28075 | + | 2.38361i | −0.112795 | + | 0.0819501i | ||||
\(847\) | −11.9146 | + | 9.86125i | −0.409391 | + | 0.338837i | ||||
\(848\) | 19.8705 | − | 6.45633i | 0.682357 | − | 0.221711i | ||||
\(849\) | −2.65715 | − | 4.60232i | −0.0911932 | − | 0.157951i | ||||
\(850\) | −3.55657 | − | 3.47173i | −0.121989 | − | 0.119079i | ||||
\(851\) | 36.1976 | − | 62.6962i | 1.24084 | − | 2.14920i | ||||
\(852\) | 0.269657 | + | 0.242801i | 0.00923831 | + | 0.00831821i | ||||
\(853\) | 11.9838 | + | 16.4943i | 0.410318 | + | 0.564754i | 0.963296 | − | 0.268442i | \(-0.0865087\pi\) |
−0.552978 | + | 0.833196i | \(0.686509\pi\) | |||||||
\(854\) | 14.0736 | − | 37.8696i | 0.481590 | − | 1.29587i | ||||
\(855\) | 3.23911 | + | 4.16895i | 0.110775 | + | 0.142575i | ||||
\(856\) | 1.99987 | − | 19.0275i | 0.0683542 | − | 0.650347i | ||||
\(857\) | −9.04286 | − | 5.22090i | −0.308898 | − | 0.178342i | 0.337535 | − | 0.941313i | \(-0.390407\pi\) |
−0.646433 | + | 0.762970i | \(0.723740\pi\) | |||||||
\(858\) | −4.60412 | − | 10.3410i | −0.157182 | − | 0.353036i | ||||
\(859\) | −31.2549 | + | 6.64343i | −1.06640 | + | 0.226671i | −0.707507 | − | 0.706707i | \(-0.750180\pi\) |
−0.358896 | + | 0.933378i | \(0.616847\pi\) | |||||||
\(860\) | 0.517689 | − | 0.402224i | 0.0176531 | − | 0.0137157i | ||||
\(861\) | −4.29353 | − | 3.40140i | −0.146323 | − | 0.115919i | ||||
\(862\) | −37.1803 | − | 12.0806i | −1.26637 | − | 0.411468i | ||||
\(863\) | 9.25719 | + | 43.5516i | 0.315118 | + | 1.48251i | 0.795768 | + | 0.605602i | \(0.207068\pi\) |
−0.480649 | + | 0.876913i | \(0.659599\pi\) | |||||||
\(864\) | −0.264090 | − | 0.0561340i | −0.00898452 | − | 0.00190972i | ||||
\(865\) | 20.0407 | + | 3.58934i | 0.681403 | + | 0.122041i | ||||
\(866\) | 46.1268 | − | 9.80455i | 1.56745 | − | 0.333172i | ||||
\(867\) | −9.70873 | + | 13.3629i | −0.329726 | + | 0.453829i | ||||
\(868\) | −0.156057 | + | 0.00985440i | −0.00529691 | + | 0.000334480i | ||||
\(869\) | −29.9325 | − | 21.7472i | −1.01539 | − | 0.737723i | ||||
\(870\) | 5.00829 | − | 3.11082i | 0.169797 | − | 0.105467i | ||||
\(871\) | 1.63187 | + | 15.5262i | 0.0552937 | + | 0.526085i | ||||
\(872\) | −0.316596 | + | 0.0332756i | −0.0107213 | + | 0.00112685i | ||||
\(873\) | 14.0884 | + | 12.6852i | 0.476819 | + | 0.429329i | ||||
\(874\) | 24.5571 | 0.830656 | ||||||||
\(875\) | 27.6435 | + | 10.5280i | 0.934519 | + | 0.355912i | ||||
\(876\) | 0.0927391 | 0.00313336 | ||||||||
\(877\) | 7.06743 | + | 6.36354i | 0.238650 | + | 0.214882i | 0.779774 | − | 0.626062i | \(-0.215334\pi\) |
−0.541123 | + | 0.840943i | \(0.682001\pi\) | |||||||
\(878\) | −0.306959 | + | 0.0322627i | −0.0103594 | + | 0.00108881i | ||||
\(879\) | 1.74315 | + | 16.5849i | 0.0587948 | + | 0.559396i | ||||
\(880\) | −17.6515 | + | 10.9640i | −0.595034 | + | 0.369595i | ||||
\(881\) | 14.1817 | + | 10.3036i | 0.477794 | + | 0.347137i | 0.800471 | − | 0.599372i | \(-0.204583\pi\) |
−0.322677 | + | 0.946509i | \(0.604583\pi\) | |||||||
\(882\) | −1.26004 | − | 9.93738i | −0.0424278 | − | 0.334609i | ||||
\(883\) | 32.8463 | − | 45.2090i | 1.10536 | − | 1.52140i | 0.277289 | − | 0.960786i | \(-0.410564\pi\) |
0.828075 | − | 0.560617i | \(-0.189436\pi\) | |||||||
\(884\) | 0.113015 | − | 0.0240222i | 0.00380112 | − | 0.000807952i | ||||
\(885\) | −13.4098 | − | 2.40173i | −0.450764 | − | 0.0807332i | ||||
\(886\) | −10.0079 | − | 2.12724i | −0.336221 | − | 0.0714661i | ||||
\(887\) | 9.48537 | + | 44.6251i | 0.318487 | + | 1.49837i | 0.788130 | + | 0.615509i | \(0.211049\pi\) |
−0.469643 | + | 0.882857i | \(0.655617\pi\) | |||||||
\(888\) | 26.4637 | + | 8.59859i | 0.888065 | + | 0.288550i | ||||
\(889\) | −4.51087 | + | 30.5964i | −0.151290 | + | 1.02617i | ||||
\(890\) | 40.5584 | − | 31.5123i | 1.35952 | − | 1.05630i | ||||
\(891\) | 2.22071 | − | 0.472025i | 0.0743964 | − | 0.0158134i | ||||
\(892\) | −0.145609 | − | 0.327044i | −0.00487537 | − | 0.0109503i | ||||
\(893\) | 5.79440 | + | 3.34540i | 0.193902 | + | 0.111949i | ||||
\(894\) | −0.0931995 | + | 0.886734i | −0.00311706 | + | 0.0296568i | ||||
\(895\) | −8.76079 | − | 11.2757i | −0.292841 | − | 0.376905i | ||||
\(896\) | −19.7401 | − | 23.8505i | −0.659472 | − | 0.796790i | ||||
\(897\) | −14.8857 | − | 20.4884i | −0.497018 | − | 0.684087i | ||||
\(898\) | −41.4691 | − | 37.3390i | −1.38384 | − | 1.24602i | ||||
\(899\) | −1.14057 | + | 1.97552i | −0.0380401 | + | 0.0658874i | ||||
\(900\) | 0.236185 | + | 0.0344909i | 0.00787283 | + | 0.00114970i | ||||
\(901\) | −1.77284 | − | 3.07065i | −0.0590619 | − | 0.102298i | ||||
\(902\) | −6.39691 | + | 2.07848i | −0.212994 | + | 0.0692059i | ||||
\(903\) | −15.2312 | − | 5.66043i | −0.506862 | − | 0.188367i | ||||
\(904\) | 39.1927 | − | 28.4751i | 1.30353 | − | 0.947069i | ||||
\(905\) | −10.4447 | − | 0.758617i | −0.347194 | − | 0.0252173i | ||||
\(906\) | 23.6980 | − | 10.5510i | 0.787312 | − | 0.350534i | ||||
\(907\) | 41.6614 | + | 24.0532i | 1.38334 | + | 0.798674i | 0.992554 | − | 0.121806i | \(-0.0388686\pi\) |
0.390790 | + | 0.920480i | \(0.372202\pi\) | |||||||
\(908\) | −0.781700 | − | 0.0821600i | −0.0259416 | − | 0.00272657i | ||||
\(909\) | −3.33968 | + | 10.2785i | −0.110770 | + | 0.340916i | ||||
\(910\) | −24.0263 | + | 17.1119i | −0.796466 | + | 0.567255i | ||||
\(911\) | −10.4375 | − | 32.1234i | −0.345810 | − | 1.06429i | −0.961149 | − | 0.276032i | \(-0.910981\pi\) |
0.615338 | − | 0.788263i | \(-0.289019\pi\) | |||||||
\(912\) | 2.00928 | + | 9.45292i | 0.0665339 | + | 0.313018i | ||||
\(913\) | 8.88147 | − | 7.99691i | 0.293934 | − | 0.264659i | ||||
\(914\) | 3.16028 | + | 0.671738i | 0.104533 | + | 0.0222191i | ||||
\(915\) | 1.72849 | − | 23.7980i | 0.0571420 | − | 0.786737i | ||||
\(916\) | −0.342604 | + | 1.05443i | −0.0113200 | + | 0.0348393i | ||||
\(917\) | −18.0215 | − | 11.4310i | −0.595124 | − | 0.377484i | ||||
\(918\) | 0.994023i | 0.0328077i | ||||||||
\(919\) | −3.66959 | + | 34.9138i | −0.121049 | + | 1.15170i | 0.750321 | + | 0.661073i | \(0.229899\pi\) |
−0.871370 | + | 0.490627i | \(0.836768\pi\) | |||||||
\(920\) | −32.7462 | + | 31.4527i | −1.07961 | + | 1.03697i | ||||
\(921\) | 2.28202 | + | 21.7120i | 0.0751951 | + | 0.715434i | ||||
\(922\) | −19.0742 | + | 42.8414i | −0.628177 | + | 1.41091i | ||||
\(923\) | −25.1878 | + | 8.18401i | −0.829066 | + | 0.269380i | ||||
\(924\) | −0.256873 | − | 0.127439i | −0.00845049 | − | 0.00419243i | ||||
\(925\) | −48.2563 | − | 12.3079i | −1.58666 | − | 0.404681i | ||||
\(926\) | 20.3182 | + | 35.1922i | 0.667699 | + | 1.15649i | ||||
\(927\) | −3.30076 | + | 15.5288i | −0.108411 | + | 0.510034i | ||||
\(928\) | 0.494744 | − | 0.0519997i | 0.0162408 | − | 0.00170697i | ||||
\(929\) | 6.93270 | + | 3.08664i | 0.227455 | + | 0.101269i | 0.517300 | − | 0.855804i | \(-0.326937\pi\) |
−0.289845 | + | 0.957074i | \(0.593604\pi\) | |||||||
\(930\) | −3.72619 | + | 1.34488i | −0.122187 | + | 0.0441002i | ||||
\(931\) | −14.1328 | + | 8.56802i | −0.463182 | + | 0.280805i | ||||
\(932\) | − | 0.694782i | − | 0.0227583i | ||||||
\(933\) | −8.88516 | − | 0.933868i | −0.290887 | − | 0.0305735i | ||||
\(934\) | −8.20320 | − | 9.11057i | −0.268417 | − | 0.298107i | ||||
\(935\) | 2.44280 | + | 2.54326i | 0.0798882 | + | 0.0831735i | ||||
\(936\) | 6.51321 | − | 7.23366i | 0.212891 | − | 0.236439i | ||||
\(937\) | 14.4580 | + | 4.69770i | 0.472323 | + | 0.153467i | 0.535500 | − | 0.844535i | \(-0.320123\pi\) |
−0.0631767 | + | 0.998002i | \(0.520123\pi\) | |||||||
\(938\) | 12.1230 | + | 11.8663i | 0.395831 | + | 0.387447i | ||||
\(939\) | 4.64874 | + | 14.3073i | 0.151706 | + | 0.466902i | ||||
\(940\) | 0.293712 | − | 0.0723917i | 0.00957983 | − | 0.00236116i | ||||
\(941\) | 25.4209 | + | 28.2328i | 0.828699 | + | 0.920363i | 0.997871 | − | 0.0652233i | \(-0.0207760\pi\) |
−0.169172 | + | 0.985587i | \(0.554109\pi\) | |||||||
\(942\) | 1.36437 | + | 3.06443i | 0.0444536 | + | 0.0998444i | ||||
\(943\) | −13.0320 | + | 7.52404i | −0.424381 | + | 0.245016i | ||||
\(944\) | −20.1749 | − | 14.6580i | −0.656639 | − | 0.477076i | ||||
\(945\) | −2.35515 | − | 5.42709i | −0.0766131 | − | 0.176543i | ||||
\(946\) | −16.1420 | + | 11.7279i | −0.524823 | + | 0.381306i | ||||
\(947\) | 18.2359 | − | 40.9585i | 0.592587 | − | 1.33097i | −0.329561 | − | 0.944134i | \(-0.606901\pi\) |
0.922148 | − | 0.386838i | \(-0.126433\pi\) | |||||||
\(948\) | −0.161749 | + | 0.760969i | −0.00525336 | + | 0.0247151i | ||||
\(949\) | −3.38437 | + | 5.86190i | −0.109861 | + | 0.190285i | ||||
\(950\) | −4.56887 | − | 16.2634i | −0.148234 | − | 0.527654i | ||||
\(951\) | −30.7240 | −0.996294 | ||||||||
\(952\) | −3.18825 | + | 4.02448i | −0.103332 | + | 0.130434i | ||||
\(953\) | 3.29626 | + | 4.53691i | 0.106776 | + | 0.146965i | 0.859061 | − | 0.511873i | \(-0.171048\pi\) |
−0.752285 | + | 0.658838i | \(0.771048\pi\) | |||||||
\(954\) | 6.67280 | + | 2.97092i | 0.216040 | + | 0.0961871i | ||||
\(955\) | 9.16153 | − | 8.79966i | 0.296460 | − | 0.284750i | ||||
\(956\) | −1.12358 | + | 0.500249i | −0.0363391 | + | 0.0161792i | ||||
\(957\) | −3.62273 | + | 2.09158i | −0.117106 | + | 0.0676113i | ||||
\(958\) | −9.14994 | + | 12.5938i | −0.295621 | + | 0.406888i | ||||
\(959\) | 9.27352 | + | 33.1845i | 0.299458 | + | 1.07158i | ||||
\(960\) | −14.4333 | − | 9.79200i | −0.465833 | − | 0.316035i | ||||
\(961\) | −19.7175 | + | 21.8984i | −0.636047 | + | 0.706402i | ||||
\(962\) | 36.9054 | − | 33.2297i | 1.18988 | − | 1.07137i | ||||
\(963\) | 5.08939 | − | 4.58251i | 0.164003 | − | 0.147669i | ||||
\(964\) | 0.654707 | − | 0.727126i | 0.0210867 | − | 0.0234192i | ||||
\(965\) | −34.7714 | + | 1.12057i | −1.11933 | + | 0.0360723i | ||||
\(966\) | −26.6557 | − | 6.83745i | −0.857632 | − | 0.219992i | ||||
\(967\) | −7.93489 | + | 10.9214i | −0.255169 | + | 0.351210i | −0.917313 | − | 0.398167i | \(-0.869647\pi\) |
0.662144 | + | 0.749376i | \(0.269647\pi\) | |||||||
\(968\) | −14.1429 | + | 8.16543i | −0.454571 | + | 0.262447i | ||||
\(969\) | 1.49827 | − | 0.667071i | 0.0481312 | − | 0.0214294i | ||||
\(970\) | −26.4452 | − | 54.5930i | −0.849103 | − | 1.75288i | ||||
\(971\) | 37.2539 | + | 16.5865i | 1.19553 | + | 0.532286i | 0.905342 | − | 0.424682i | \(-0.139614\pi\) |
0.290192 | + | 0.956969i | \(0.406281\pi\) | |||||||
\(972\) | −0.0280597 | − | 0.0386209i | −0.000900015 | − | 0.00123876i | ||||
\(973\) | −28.0713 | − | 4.13860i | −0.899926 | − | 0.132677i | ||||
\(974\) | −36.7335 | −1.17702 | ||||||||
\(975\) | −10.7993 | + | 13.6702i | −0.345855 | + | 0.437797i | ||||
\(976\) | 21.8389 | − | 37.8260i | 0.699045 | − | 1.21078i | ||||
\(977\) | −4.98800 | + | 23.4667i | −0.159580 | + | 0.750767i | 0.823460 | + | 0.567375i | \(0.192041\pi\) |
−0.983040 | + | 0.183392i | \(0.941292\pi\) | |||||||
\(978\) | −3.77320 | + | 8.47475i | −0.120654 | + | 0.270993i | ||||
\(979\) | −29.4822 | + | 21.4201i | −0.942257 | + | 0.684589i | ||||
\(980\) | −0.192484 | + | 0.722001i | −0.00614868 | + | 0.0230635i | ||||
\(981\) | −0.0921879 | − | 0.0669784i | −0.00294333 | − | 0.00213846i | ||||
\(982\) | 21.0093 | − | 12.1297i | 0.670435 | − | 0.387076i | ||||
\(983\) | −17.2190 | − | 38.6745i | −0.549201 | − | 1.23352i | −0.948521 | − | 0.316713i | \(-0.897421\pi\) |
0.399321 | − | 0.916811i | \(-0.369246\pi\) | |||||||
\(984\) | −3.87014 | − | 4.29822i | −0.123376 | − | 0.137022i | ||||
\(985\) | −12.1210 | − | 4.93521i | −0.386209 | − | 0.157249i | ||||
\(986\) | −0.565976 | − | 1.74189i | −0.0180243 | − | 0.0554732i | ||||
\(987\) | −5.35811 | − | 5.24462i | −0.170550 | − | 0.166938i | ||||
\(988\) | 0.373490 | + | 0.121354i | 0.0118823 | + | 0.00386079i | ||||
\(989\) | −29.8695 | + | 33.1735i | −0.949796 | + | 1.05486i | ||||
\(990\) | −7.15076 | − | 1.28072i | −0.227266 | − | 0.0407041i | ||||
\(991\) | 0.0730054 | + | 0.0810807i | 0.00231909 | + | 0.00257561i | 0.744303 | − | 0.667842i | \(-0.232782\pi\) |
−0.741984 | + | 0.670417i | \(0.766115\pi\) | |||||||
\(992\) | −0.332426 | − | 0.0349394i | −0.0105545 | − | 0.00110933i | ||||
\(993\) | 9.83561i | 0.312124i | ||||||||
\(994\) | −15.4144 | + | 24.3016i | −0.488916 | + | 0.770801i | ||||
\(995\) | 0.698600 | + | 21.6777i | 0.0221471 | + | 0.687231i | ||||
\(996\) | −0.229572 | − | 0.102212i | −0.00727427 | − | 0.00323872i | ||||
\(997\) | 21.2135 | − | 2.22962i | 0.671837 | − | 0.0706129i | 0.237533 | − | 0.971379i | \(-0.423661\pi\) |
0.434304 | + | 0.900767i | \(0.356994\pi\) | |||||||
\(998\) | 3.24674 | − | 15.2747i | 0.102774 | − | 0.483512i | ||||
\(999\) | 4.98012 | + | 8.62582i | 0.157564 | + | 0.272909i |
(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 | 525.2.bo.a.319.29 | yes | 320 | |
7.2 | even | 3 | inner | 525.2.bo.a.394.29 | yes | 320 | |
25.4 | even | 10 | inner | 525.2.bo.a.4.29 | ✓ | 320 | |
175.79 | even | 30 | inner | 525.2.bo.a.79.29 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bo.a.4.29 | ✓ | 320 | 25.4 | even | 10 | inner | |
525.2.bo.a.79.29 | yes | 320 | 175.79 | even | 30 | inner | |
525.2.bo.a.319.29 | yes | 320 | 1.1 | even | 1 | trivial | |
525.2.bo.a.394.29 | yes | 320 | 7.2 | even | 3 | inner |