Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(19,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.i (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 109.23 | ||
Character | \(\chi\) | \(=\) | 230.109 |
Dual form | 230.3.i.a.19.23 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28641 | + | 0.587486i | 0.643207 | + | 0.293743i | ||||
\(3\) | 1.02272 | − | 3.48306i | 0.340906 | − | 1.16102i | −0.593507 | − | 0.804829i | \(-0.702257\pi\) |
0.934413 | − | 0.356191i | \(-0.115925\pi\) | |||||||
\(4\) | 1.30972 | + | 1.51150i | 0.327430 | + | 0.377875i | ||||
\(5\) | 4.98911 | − | 0.329755i | 0.997823 | − | 0.0659511i | ||||
\(6\) | 3.36189 | − | 3.87983i | 0.560315 | − | 0.646638i | ||||
\(7\) | 1.08475 | − | 7.54462i | 0.154965 | − | 1.07780i | −0.752778 | − | 0.658275i | \(-0.771286\pi\) |
0.907742 | − | 0.419528i | \(-0.137804\pi\) | |||||||
\(8\) | 0.796860 | + | 2.71386i | 0.0996075 | + | 0.339232i | ||||
\(9\) | −3.51448 | − | 2.25862i | −0.390498 | − | 0.250958i | ||||
\(10\) | 6.61179 | + | 2.50683i | 0.661179 | + | 0.250683i | ||||
\(11\) | −6.50838 | + | 2.97228i | −0.591671 | + | 0.270207i | −0.688667 | − | 0.725078i | \(-0.741804\pi\) |
0.0969960 | + | 0.995285i | \(0.469077\pi\) | |||||||
\(12\) | 6.60412 | − | 3.01600i | 0.550343 | − | 0.251333i | ||||
\(13\) | −7.13042 | + | 1.02520i | −0.548494 | + | 0.0788615i | −0.410990 | − | 0.911640i | \(-0.634817\pi\) |
−0.137504 | + | 0.990501i | \(0.543908\pi\) | |||||||
\(14\) | 5.82780 | − | 9.06823i | 0.416271 | − | 0.647731i | ||||
\(15\) | 3.95390 | − | 17.7146i | 0.263594 | − | 1.18098i | ||||
\(16\) | −0.569259 | + | 3.95929i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −5.52068 | + | 6.37120i | −0.324746 | + | 0.374777i | −0.894523 | − | 0.447023i | \(-0.852484\pi\) |
0.569777 | + | 0.821800i | \(0.307030\pi\) | |||||||
\(18\) | −3.19417 | − | 4.97022i | −0.177454 | − | 0.276123i | ||||
\(19\) | 5.13612 | − | 4.45047i | 0.270322 | − | 0.234235i | −0.509142 | − | 0.860683i | \(-0.670037\pi\) |
0.779464 | + | 0.626447i | \(0.215492\pi\) | |||||||
\(20\) | 7.03278 | + | 7.10915i | 0.351639 | + | 0.355458i | ||||
\(21\) | −25.1690 | − | 11.4943i | −1.19852 | − | 0.547347i | ||||
\(22\) | −10.1186 | −0.459938 | ||||||||
\(23\) | 19.1315 | + | 12.7666i | 0.831804 | + | 0.555069i | ||||
\(24\) | 10.2675 | 0.427812 | ||||||||
\(25\) | 24.7825 | − | 3.29038i | 0.991301 | − | 0.131615i | ||||
\(26\) | −9.77497 | − | 2.87019i | −0.375960 | − | 0.110392i | ||||
\(27\) | 13.2298 | − | 11.4637i | 0.489994 | − | 0.424582i | ||||
\(28\) | 12.8244 | − | 8.24175i | 0.458015 | − | 0.294348i | ||||
\(29\) | −0.932091 | + | 1.07569i | −0.0321411 | + | 0.0370928i | −0.771593 | − | 0.636117i | \(-0.780540\pi\) |
0.739451 | + | 0.673210i | \(0.235085\pi\) | |||||||
\(30\) | 15.4934 | − | 20.4655i | 0.516448 | − | 0.682183i | ||||
\(31\) | −6.94594 | + | 2.03951i | −0.224063 | + | 0.0657907i | −0.391837 | − | 0.920035i | \(-0.628160\pi\) |
0.167774 | + | 0.985825i | \(0.446342\pi\) | |||||||
\(32\) | −3.05833 | + | 4.75885i | −0.0955727 | + | 0.148714i | ||||
\(33\) | 3.69638 | + | 25.7089i | 0.112012 | + | 0.779058i | ||||
\(34\) | −10.8449 | + | 4.95269i | −0.318967 | + | 0.145667i | ||||
\(35\) | 2.92408 | − | 37.9987i | 0.0835450 | − | 1.08568i | ||||
\(36\) | −1.18909 | − | 8.27029i | −0.0330302 | − | 0.229730i | ||||
\(37\) | −36.5317 | − | 23.4775i | −0.987344 | − | 0.634528i | −0.0559094 | − | 0.998436i | \(-0.517806\pi\) |
−0.931435 | + | 0.363908i | \(0.881442\pi\) | |||||||
\(38\) | 9.22176 | − | 2.70775i | 0.242678 | − | 0.0712567i | ||||
\(39\) | −3.72158 | + | 25.8842i | −0.0954253 | + | 0.663697i | ||||
\(40\) | 4.87053 | + | 13.2770i | 0.121763 | + | 0.331924i | ||||
\(41\) | −39.5895 | + | 25.4426i | −0.965596 | + | 0.620551i | −0.925541 | − | 0.378646i | \(-0.876390\pi\) |
−0.0400550 | + | 0.999197i | \(0.512753\pi\) | |||||||
\(42\) | −25.6250 | − | 29.5728i | −0.610119 | − | 0.704115i | ||||
\(43\) | 29.5620 | + | 8.68018i | 0.687488 | + | 0.201865i | 0.606776 | − | 0.794873i | \(-0.292462\pi\) |
0.0807118 | + | 0.996737i | \(0.474281\pi\) | |||||||
\(44\) | −13.0168 | − | 5.94456i | −0.295836 | − | 0.135104i | ||||
\(45\) | −18.2789 | − | 10.1096i | −0.406198 | − | 0.224657i | ||||
\(46\) | 17.1108 | + | 27.6626i | 0.371975 | + | 0.601361i | ||||
\(47\) | 9.78818i | 0.208259i | 0.994564 | + | 0.104130i | \(0.0332057\pi\) | ||||
−0.994564 | + | 0.104130i | \(0.966794\pi\) | |||||||
\(48\) | 13.2082 | + | 6.03200i | 0.275172 | + | 0.125667i | ||||
\(49\) | −8.72945 | − | 2.56320i | −0.178152 | − | 0.0523102i | ||||
\(50\) | 33.8136 | + | 10.3266i | 0.676273 | + | 0.206532i | ||||
\(51\) | 16.5452 | + | 25.7448i | 0.324415 | + | 0.504800i | ||||
\(52\) | −10.8885 | − | 9.43490i | −0.209393 | − | 0.181440i | ||||
\(53\) | −11.3566 | + | 78.9868i | −0.214275 | + | 1.49032i | 0.544387 | + | 0.838834i | \(0.316762\pi\) |
−0.758663 | + | 0.651484i | \(0.774147\pi\) | |||||||
\(54\) | 23.7538 | − | 6.97475i | 0.439885 | − | 0.129162i | ||||
\(55\) | −31.4909 | + | 16.9752i | −0.572563 | + | 0.308640i | ||||
\(56\) | 21.3394 | − | 3.06814i | 0.381061 | − | 0.0547883i | ||||
\(57\) | −10.2485 | − | 22.4410i | −0.179797 | − | 0.393702i | ||||
\(58\) | −1.83101 | + | 0.836193i | −0.0315691 | + | 0.0144171i | ||||
\(59\) | 6.75171 | + | 46.9592i | 0.114436 | + | 0.795918i | 0.963515 | + | 0.267653i | \(0.0862481\pi\) |
−0.849080 | + | 0.528265i | \(0.822843\pi\) | |||||||
\(60\) | 31.9542 | − | 17.2249i | 0.532570 | − | 0.287082i | ||||
\(61\) | 24.4195 | + | 83.1653i | 0.400320 | + | 1.36337i | 0.875390 | + | 0.483417i | \(0.160605\pi\) |
−0.475070 | + | 0.879948i | \(0.657577\pi\) | |||||||
\(62\) | −10.1335 | − | 1.45698i | −0.163444 | − | 0.0234997i | ||||
\(63\) | −20.8528 | + | 24.0654i | −0.330996 | + | 0.381990i | ||||
\(64\) | −6.73003 | + | 4.32513i | −0.105157 | + | 0.0675801i | ||||
\(65\) | −35.2364 | + | 7.46614i | −0.542099 | + | 0.114864i | ||||
\(66\) | −10.3485 | + | 35.2439i | −0.156796 | + | 0.533998i | ||||
\(67\) | 8.95746 | − | 19.6141i | 0.133693 | − | 0.292748i | −0.830931 | − | 0.556375i | \(-0.812192\pi\) |
0.964625 | + | 0.263628i | \(0.0849190\pi\) | |||||||
\(68\) | −16.8606 | −0.247950 | ||||||||
\(69\) | 64.0330 | − | 53.5795i | 0.928014 | − | 0.776515i | ||||
\(70\) | 26.0852 | − | 47.1642i | 0.372646 | − | 0.673774i | ||||
\(71\) | −15.1000 | + | 33.0644i | −0.212676 | + | 0.465695i | −0.985663 | − | 0.168727i | \(-0.946034\pi\) |
0.772987 | + | 0.634422i | \(0.218762\pi\) | |||||||
\(72\) | 3.32902 | − | 11.3376i | 0.0462363 | − | 0.157467i | ||||
\(73\) | −52.8412 | + | 45.7871i | −0.723852 | + | 0.627221i | −0.936809 | − | 0.349840i | \(-0.886236\pi\) |
0.212958 | + | 0.977061i | \(0.431690\pi\) | |||||||
\(74\) | −33.2022 | − | 51.6637i | −0.448679 | − | 0.698158i | ||||
\(75\) | 13.8850 | − | 89.6842i | 0.185133 | − | 1.19579i | ||||
\(76\) | 13.4538 | + | 1.93436i | 0.177023 | + | 0.0254521i | ||||
\(77\) | 15.3647 | + | 52.3275i | 0.199542 | + | 0.679578i | ||||
\(78\) | −19.9941 | + | 31.1114i | −0.256334 | + | 0.398864i | ||||
\(79\) | 27.7861 | − | 3.99503i | 0.351723 | − | 0.0505701i | 0.0358106 | − | 0.999359i | \(-0.488599\pi\) |
0.315912 | + | 0.948789i | \(0.397690\pi\) | |||||||
\(80\) | −1.53450 | + | 19.9410i | −0.0191813 | + | 0.249263i | ||||
\(81\) | −42.0176 | − | 92.0057i | −0.518736 | − | 1.13587i | ||||
\(82\) | −65.8756 | + | 9.47148i | −0.803361 | + | 0.115506i | ||||
\(83\) | −94.6575 | − | 60.8327i | −1.14045 | − | 0.732924i | −0.172736 | − | 0.984968i | \(-0.555261\pi\) |
−0.967716 | + | 0.252044i | \(0.918897\pi\) | |||||||
\(84\) | −15.5907 | − | 53.0972i | −0.185604 | − | 0.632110i | ||||
\(85\) | −25.4424 | + | 33.6071i | −0.299322 | + | 0.395378i | ||||
\(86\) | 32.9295 | + | 28.5335i | 0.382901 | + | 0.331785i | ||||
\(87\) | 2.79343 | + | 4.34666i | 0.0321084 | + | 0.0499616i | ||||
\(88\) | −13.2526 | − | 15.2943i | −0.150598 | − | 0.173799i | ||||
\(89\) | 14.2967 | − | 48.6902i | 0.160637 | − | 0.547080i | −0.839357 | − | 0.543581i | \(-0.817068\pi\) |
0.999994 | − | 0.00349920i | \(-0.00111383\pi\) | |||||||
\(90\) | −17.5750 | − | 23.7437i | −0.195278 | − | 0.263819i | ||||
\(91\) | 54.9084i | 0.603389i | ||||||||
\(92\) | 5.76024 | + | 45.6379i | 0.0626113 | + | 0.496064i | ||||
\(93\) | 26.2790i | 0.282570i | ||||||||
\(94\) | −5.75042 | + | 12.5917i | −0.0611746 | + | 0.133954i | ||||
\(95\) | 24.1571 | − | 23.8976i | 0.254285 | − | 0.251553i | ||||
\(96\) | 13.4476 | + | 15.5193i | 0.140079 | + | 0.161659i | ||||
\(97\) | −53.0112 | + | 34.0682i | −0.546507 | + | 0.351219i | −0.784579 | − | 0.620029i | \(-0.787121\pi\) |
0.238072 | + | 0.971247i | \(0.423485\pi\) | |||||||
\(98\) | −9.72385 | − | 8.42576i | −0.0992229 | − | 0.0859772i | ||||
\(99\) | 29.5868 | + | 4.25394i | 0.298857 | + | 0.0429691i | ||||
\(100\) | 37.4316 | + | 33.1493i | 0.374316 | + | 0.331493i | ||||
\(101\) | −119.624 | − | 76.8778i | −1.18440 | − | 0.761167i | −0.208209 | − | 0.978084i | \(-0.566763\pi\) |
−0.976190 | + | 0.216918i | \(0.930400\pi\) | |||||||
\(102\) | 6.15925 | + | 42.8385i | 0.0603848 | + | 0.419986i | ||||
\(103\) | −75.9963 | − | 166.409i | −0.737828 | − | 1.61562i | −0.787094 | − | 0.616833i | \(-0.788415\pi\) |
0.0492659 | − | 0.998786i | \(-0.484312\pi\) | |||||||
\(104\) | −8.46419 | − | 18.5340i | −0.0813865 | − | 0.178212i | ||||
\(105\) | −129.361 | − | 49.0467i | −1.23201 | − | 0.467111i | ||||
\(106\) | −61.0129 | + | 94.9379i | −0.575593 | + | 0.895641i | ||||
\(107\) | 141.190 | − | 41.4572i | 1.31953 | − | 0.387450i | 0.455209 | − | 0.890385i | \(-0.349565\pi\) |
0.864324 | + | 0.502935i | \(0.167746\pi\) | |||||||
\(108\) | 34.6548 | + | 4.98261i | 0.320878 | + | 0.0461352i | ||||
\(109\) | 22.0957 | + | 19.1460i | 0.202713 | + | 0.175652i | 0.750301 | − | 0.661096i | \(-0.229909\pi\) |
−0.547588 | + | 0.836748i | \(0.684454\pi\) | |||||||
\(110\) | −50.4831 | + | 3.33668i | −0.458937 | + | 0.0303334i | ||||
\(111\) | −119.135 | + | 103.231i | −1.07329 | + | 0.930012i | ||||
\(112\) | 29.2538 | + | 8.58969i | 0.261195 | + | 0.0766937i | ||||
\(113\) | 57.2688 | − | 125.401i | 0.506804 | − | 1.10975i | −0.467394 | − | 0.884049i | \(-0.654807\pi\) |
0.974198 | − | 0.225696i | \(-0.0724656\pi\) | |||||||
\(114\) | − | 34.8892i | − | 0.306046i | ||||||
\(115\) | 99.6591 | + | 57.3853i | 0.866601 | + | 0.499002i | ||||
\(116\) | −2.84668 | −0.0245404 | ||||||||
\(117\) | 27.3753 | + | 12.5019i | 0.233977 | + | 0.106853i | ||||
\(118\) | −18.9023 | + | 64.3754i | −0.160189 | + | 0.545555i | ||||
\(119\) | 42.0797 | + | 48.5626i | 0.353611 | + | 0.408089i | ||||
\(120\) | 51.2257 | − | 3.38576i | 0.426881 | − | 0.0282147i | ||||
\(121\) | −45.7135 | + | 52.7562i | −0.377798 | + | 0.436002i | ||||
\(122\) | −17.4448 | + | 121.331i | −0.142990 | + | 0.994517i | ||||
\(123\) | 48.1292 | + | 163.913i | 0.391295 | + | 1.33263i | ||||
\(124\) | −12.1800 | − | 7.82759i | −0.0982256 | − | 0.0631258i | ||||
\(125\) | 122.558 | − | 24.5882i | 0.980463 | − | 0.196706i | ||||
\(126\) | −40.9633 | + | 18.7073i | −0.325106 | + | 0.148471i | ||||
\(127\) | 209.869 | − | 95.8441i | 1.65251 | − | 0.754678i | 0.652520 | − | 0.757772i | \(-0.273712\pi\) |
0.999995 | + | 0.00309347i | \(0.000984683\pi\) | |||||||
\(128\) | −11.1986 | + | 1.61011i | −0.0874887 | + | 0.0125790i | ||||
\(129\) | 60.4672 | − | 94.0888i | 0.468738 | − | 0.729370i | ||||
\(130\) | −49.7149 | − | 11.0964i | −0.382422 | − | 0.0853566i | ||||
\(131\) | −19.2147 | + | 133.641i | −0.146677 | + | 1.02016i | 0.774933 | + | 0.632043i | \(0.217783\pi\) |
−0.921610 | + | 0.388117i | \(0.873126\pi\) | |||||||
\(132\) | −34.0178 | + | 39.2586i | −0.257710 | + | 0.297413i | ||||
\(133\) | −28.0057 | − | 43.5777i | −0.210569 | − | 0.327652i | ||||
\(134\) | 23.0460 | − | 19.9695i | 0.171985 | − | 0.149026i | ||||
\(135\) | 62.2249 | − | 61.5564i | 0.460925 | − | 0.455973i | ||||
\(136\) | −21.6897 | − | 9.90537i | −0.159483 | − | 0.0728336i | ||||
\(137\) | 263.887 | 1.92618 | 0.963091 | − | 0.269175i | \(-0.0867510\pi\) | ||||
0.963091 | + | 0.269175i | \(0.0867510\pi\) | |||||||
\(138\) | 113.850 | − | 31.3070i | 0.825001 | − | 0.226862i | ||||
\(139\) | −159.971 | −1.15087 | −0.575434 | − | 0.817849i | \(-0.695167\pi\) | ||||
−0.575434 | + | 0.817849i | \(0.695167\pi\) | |||||||
\(140\) | 61.2647 | − | 45.3479i | 0.437605 | − | 0.323914i | ||||
\(141\) | 34.0928 | + | 10.0106i | 0.241793 | + | 0.0709969i | ||||
\(142\) | −38.8497 | + | 33.6634i | −0.273589 | + | 0.237066i | ||||
\(143\) | 43.3603 | − | 27.8660i | 0.303219 | − | 0.194867i | ||||
\(144\) | 10.9432 | − | 12.6291i | 0.0759942 | − | 0.0877020i | ||||
\(145\) | −4.29559 | + | 5.67410i | −0.0296248 | + | 0.0391317i | ||||
\(146\) | −94.8749 | + | 27.8578i | −0.649828 | + | 0.190807i | ||||
\(147\) | −17.8556 | + | 27.7838i | −0.121466 | + | 0.189005i | ||||
\(148\) | −12.3601 | − | 85.9667i | −0.0835145 | − | 0.580856i | ||||
\(149\) | −4.42310 | + | 2.01996i | −0.0296852 | + | 0.0135568i | −0.430202 | − | 0.902732i | \(-0.641558\pi\) |
0.400517 | + | 0.916289i | \(0.368831\pi\) | |||||||
\(150\) | 70.5500 | − | 107.214i | 0.470333 | − | 0.714758i | ||||
\(151\) | 13.5648 | + | 94.3456i | 0.0898334 | + | 0.624805i | 0.984146 | + | 0.177362i | \(0.0567563\pi\) |
−0.894312 | + | 0.447443i | \(0.852335\pi\) | |||||||
\(152\) | 16.1707 | + | 10.3923i | 0.106386 | + | 0.0683703i | ||||
\(153\) | 33.7924 | − | 9.92235i | 0.220866 | − | 0.0648520i | ||||
\(154\) | −10.9762 | + | 76.3413i | −0.0712742 | + | 0.495723i | ||||
\(155\) | −33.9816 | + | 12.4658i | −0.219236 | + | 0.0804247i | ||||
\(156\) | −43.9982 | + | 28.2759i | −0.282040 | + | 0.181256i | ||||
\(157\) | −123.402 | − | 142.414i | −0.786003 | − | 0.907096i | 0.211525 | − | 0.977373i | \(-0.432157\pi\) |
−0.997528 | + | 0.0702769i | \(0.977612\pi\) | |||||||
\(158\) | 38.0914 | + | 11.1847i | 0.241085 | + | 0.0707889i | ||||
\(159\) | 263.501 | + | 120.337i | 1.65724 | + | 0.756837i | ||||
\(160\) | −13.6891 | + | 24.7509i | −0.0855568 | + | 0.154693i | ||||
\(161\) | 117.072 | − | 130.491i | 0.727155 | − | 0.810505i | ||||
\(162\) | − | 143.042i | − | 0.882976i | ||||||
\(163\) | −248.899 | − | 113.669i | −1.52699 | − | 0.697353i | −0.537676 | − | 0.843152i | \(-0.680697\pi\) |
−0.989314 | + | 0.145799i | \(0.953425\pi\) | |||||||
\(164\) | −90.3076 | − | 26.5167i | −0.550656 | − | 0.161687i | ||||
\(165\) | 26.9193 | + | 127.046i | 0.163147 | + | 0.769974i | ||||
\(166\) | −86.0304 | − | 133.866i | −0.518255 | − | 0.806421i | ||||
\(167\) | 127.555 | + | 110.527i | 0.763800 | + | 0.661837i | 0.946998 | − | 0.321239i | \(-0.104099\pi\) |
−0.183198 | + | 0.983076i | \(0.558645\pi\) | |||||||
\(168\) | 11.1377 | − | 77.4643i | 0.0662958 | − | 0.461097i | ||||
\(169\) | −112.362 | + | 32.9926i | −0.664866 | + | 0.195222i | ||||
\(170\) | −52.4731 | + | 28.2857i | −0.308665 | + | 0.166386i | ||||
\(171\) | −28.1027 | + | 4.04056i | −0.164343 | + | 0.0236290i | ||||
\(172\) | 25.5979 | + | 56.0515i | 0.148825 | + | 0.325881i | ||||
\(173\) | 137.374 | − | 62.7367i | 0.794071 | − | 0.362640i | 0.0232805 | − | 0.999729i | \(-0.492589\pi\) |
0.770790 | + | 0.637089i | \(0.219862\pi\) | |||||||
\(174\) | 1.03991 | + | 7.23270i | 0.00597647 | + | 0.0415672i | ||||
\(175\) | 2.05827 | − | 190.544i | 0.0117616 | − | 1.08882i | ||||
\(176\) | −8.06314 | − | 27.4605i | −0.0458133 | − | 0.156026i | ||||
\(177\) | 170.467 | + | 24.5094i | 0.963089 | + | 0.138471i | ||||
\(178\) | 46.9963 | − | 54.2366i | 0.264024 | − | 0.304700i | ||||
\(179\) | 106.486 | − | 68.4346i | 0.594895 | − | 0.382316i | −0.208271 | − | 0.978071i | \(-0.566783\pi\) |
0.803166 | + | 0.595755i | \(0.203147\pi\) | |||||||
\(180\) | −8.65967 | − | 40.8693i | −0.0481093 | − | 0.227052i | ||||
\(181\) | 45.4608 | − | 154.825i | 0.251165 | − | 0.855388i | −0.733315 | − | 0.679889i | \(-0.762028\pi\) |
0.984480 | − | 0.175499i | \(-0.0561540\pi\) | |||||||
\(182\) | −32.2579 | + | 70.6350i | −0.177241 | + | 0.388104i | ||||
\(183\) | 314.644 | 1.71937 | ||||||||
\(184\) | −19.4016 | + | 62.0933i | −0.105443 | + | 0.337464i | ||||
\(185\) | −190.003 | − | 105.085i | −1.02704 | − | 0.568030i | ||||
\(186\) | −15.4385 | + | 33.8057i | −0.0830028 | + | 0.181751i | ||||
\(187\) | 16.9937 | − | 57.8752i | 0.0908754 | − | 0.309493i | ||||
\(188\) | −14.7948 | + | 12.8198i | −0.0786959 | + | 0.0681904i | ||||
\(189\) | −72.1383 | − | 112.249i | −0.381684 | − | 0.593912i | ||||
\(190\) | 45.1155 | − | 16.5502i | 0.237450 | − | 0.0871064i | ||||
\(191\) | 27.1867 | + | 3.90886i | 0.142339 | + | 0.0204652i | 0.213116 | − | 0.977027i | \(-0.431639\pi\) |
−0.0707770 | + | 0.997492i | \(0.522548\pi\) | |||||||
\(192\) | 8.18175 | + | 27.8645i | 0.0426133 | + | 0.145128i | ||||
\(193\) | −111.998 | + | 174.273i | −0.580302 | + | 0.902968i | −0.999989 | − | 0.00470093i | \(-0.998504\pi\) |
0.419687 | + | 0.907669i | \(0.362140\pi\) | |||||||
\(194\) | −88.2089 | + | 12.6825i | −0.454685 | + | 0.0653738i | ||||
\(195\) | −10.0320 | + | 130.366i | −0.0514459 | + | 0.668546i | ||||
\(196\) | −7.55888 | − | 16.5516i | −0.0385657 | − | 0.0844471i | ||||
\(197\) | −240.650 | + | 34.6003i | −1.22157 | + | 0.175636i | −0.722776 | − | 0.691083i | \(-0.757134\pi\) |
−0.498798 | + | 0.866718i | \(0.666225\pi\) | |||||||
\(198\) | 35.5618 | + | 22.8542i | 0.179605 | + | 0.115425i | ||||
\(199\) | −99.0124 | − | 337.205i | −0.497550 | − | 1.69450i | −0.699102 | − | 0.715022i | \(-0.746417\pi\) |
0.201552 | − | 0.979478i | \(-0.435401\pi\) | |||||||
\(200\) | 28.6778 | + | 64.6342i | 0.143389 | + | 0.323171i | ||||
\(201\) | −59.1561 | − | 51.2591i | −0.294309 | − | 0.255020i | ||||
\(202\) | −108.722 | − | 169.174i | −0.538226 | − | 0.837496i | ||||
\(203\) | 7.10458 | + | 8.19913i | 0.0349980 | + | 0.0403898i | ||||
\(204\) | −17.2437 | + | 58.7266i | −0.0845278 | + | 0.287875i | ||||
\(205\) | −189.126 | + | 139.991i | −0.922568 | + | 0.682882i | ||||
\(206\) | − | 258.717i | − | 1.25591i | ||||||
\(207\) | −38.4024 | − | 88.0786i | −0.185519 | − | 0.425501i | ||||
\(208\) | − | 28.8150i | − | 0.138534i | ||||||
\(209\) | −20.1998 | + | 44.2313i | −0.0966497 | + | 0.211633i | ||||
\(210\) | −137.598 | − | 139.092i | −0.655228 | − | 0.662344i | ||||
\(211\) | 143.513 | + | 165.622i | 0.680154 | + | 0.784940i | 0.985929 | − | 0.167164i | \(-0.0534610\pi\) |
−0.305775 | + | 0.952104i | \(0.598916\pi\) | |||||||
\(212\) | −134.263 | + | 86.2853i | −0.633314 | + | 0.407006i | ||||
\(213\) | 99.7221 | + | 86.4097i | 0.468179 | + | 0.405679i | ||||
\(214\) | 205.984 | + | 29.6161i | 0.962544 | + | 0.138393i | ||||
\(215\) | 150.350 | + | 33.5582i | 0.699304 | + | 0.156085i | ||||
\(216\) | 41.6532 | + | 26.7689i | 0.192839 | + | 0.123930i | ||||
\(217\) | 7.85272 | + | 54.6169i | 0.0361877 | + | 0.251691i | ||||
\(218\) | 17.1762 | + | 37.6106i | 0.0787898 | + | 0.172526i | ||||
\(219\) | 105.438 | + | 230.876i | 0.481451 | + | 1.05423i | ||||
\(220\) | −66.9024 | − | 25.3657i | −0.304102 | − | 0.115299i | ||||
\(221\) | 32.8330 | − | 51.0892i | 0.148566 | − | 0.231173i | ||||
\(222\) | −213.904 | + | 62.8080i | −0.963533 | + | 0.282919i | ||||
\(223\) | −50.5472 | − | 7.26759i | −0.226669 | − | 0.0325901i | 0.0280443 | − | 0.999607i | \(-0.491072\pi\) |
−0.254713 | + | 0.967017i | \(0.581981\pi\) | |||||||
\(224\) | 32.5862 | + | 28.2361i | 0.145474 | + | 0.126054i | ||||
\(225\) | −94.5293 | − | 44.4103i | −0.420130 | − | 0.197379i | ||||
\(226\) | 147.343 | − | 127.673i | 0.651959 | − | 0.564926i | ||||
\(227\) | −165.945 | − | 48.7259i | −0.731036 | − | 0.214651i | −0.105029 | − | 0.994469i | \(-0.533494\pi\) |
−0.626007 | + | 0.779818i | \(0.715312\pi\) | |||||||
\(228\) | 20.4969 | − | 44.8820i | 0.0898987 | − | 0.196851i | ||||
\(229\) | − | 382.465i | − | 1.67015i | −0.550133 | − | 0.835077i | \(-0.685423\pi\) | ||
0.550133 | − | 0.835077i | \(-0.314577\pi\) | |||||||
\(230\) | 94.4898 | + | 132.369i | 0.410825 | + | 0.575519i | ||||
\(231\) | 197.974 | 0.857028 | ||||||||
\(232\) | −3.66201 | − | 1.67239i | −0.0157845 | − | 0.00720856i | ||||
\(233\) | 83.6253 | − | 284.802i | 0.358907 | − | 1.22232i | −0.560214 | − | 0.828348i | \(-0.689281\pi\) |
0.919121 | − | 0.393976i | \(-0.128901\pi\) | |||||||
\(234\) | 27.8712 | + | 32.1651i | 0.119108 | + | 0.137458i | ||||
\(235\) | 3.22771 | + | 48.8344i | 0.0137349 | + | 0.207806i | ||||
\(236\) | −62.1359 | + | 71.7086i | −0.263288 | + | 0.303850i | ||||
\(237\) | 14.5024 | − | 100.866i | 0.0611916 | − | 0.425597i | ||||
\(238\) | 25.6021 | + | 87.1929i | 0.107572 | + | 0.366357i | ||||
\(239\) | 65.0288 | + | 41.7915i | 0.272087 | + | 0.174860i | 0.669568 | − | 0.742751i | \(-0.266479\pi\) |
−0.397481 | + | 0.917610i | \(0.630116\pi\) | |||||||
\(240\) | 67.8865 | + | 25.7389i | 0.282860 | + | 0.107245i | ||||
\(241\) | −133.370 | + | 60.9079i | −0.553402 | + | 0.252730i | −0.672430 | − | 0.740161i | \(-0.734749\pi\) |
0.119028 | + | 0.992891i | \(0.462022\pi\) | |||||||
\(242\) | −89.8001 | + | 41.0103i | −0.371075 | + | 0.169464i | ||||
\(243\) | −207.487 | + | 29.8322i | −0.853857 | + | 0.122766i | ||||
\(244\) | −93.7215 | + | 145.833i | −0.384104 | + | 0.597678i | ||||
\(245\) | −44.3975 | − | 9.90951i | −0.181214 | − | 0.0404470i | ||||
\(246\) | −34.3825 | + | 239.135i | −0.139766 | + | 0.972095i | ||||
\(247\) | −32.0601 | + | 36.9993i | −0.129798 | + | 0.149795i | ||||
\(248\) | −11.0699 | − | 17.2251i | −0.0446367 | − | 0.0694560i | ||||
\(249\) | −308.692 | + | 267.483i | −1.23973 | + | 1.07423i | ||||
\(250\) | 172.105 | + | 40.3703i | 0.688421 | + | 0.161481i | ||||
\(251\) | 400.345 | + | 182.831i | 1.59500 | + | 0.728412i | 0.997309 | − | 0.0733154i | \(-0.0233580\pi\) |
0.597690 | + | 0.801727i | \(0.296085\pi\) | |||||||
\(252\) | −63.6861 | −0.252723 | ||||||||
\(253\) | −162.461 | − | 26.2257i | −0.642138 | − | 0.103659i | ||||
\(254\) | 326.286 | 1.28459 | ||||||||
\(255\) | 91.0353 | + | 122.988i | 0.357001 | + | 0.482306i | ||||
\(256\) | −15.3519 | − | 4.50772i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 82.6018 | − | 71.5749i | 0.321408 | − | 0.278501i | −0.479180 | − | 0.877716i | \(-0.659066\pi\) |
0.800588 | + | 0.599215i | \(0.204521\pi\) | |||||||
\(258\) | 133.062 | − | 85.5135i | 0.515743 | − | 0.331448i | ||||
\(259\) | −216.757 | + | 250.151i | −0.836899 | + | 0.965833i | ||||
\(260\) | −57.4350 | − | 43.4813i | −0.220904 | − | 0.167236i | ||||
\(261\) | 5.70539 | − | 1.67525i | 0.0218597 | − | 0.00641859i | ||||
\(262\) | −103.230 | + | 160.629i | −0.394008 | + | 0.613089i | ||||
\(263\) | −7.16758 | − | 49.8516i | −0.0272531 | − | 0.189550i | 0.971647 | − | 0.236436i | \(-0.0759793\pi\) |
−0.998900 | + | 0.0468861i | \(0.985070\pi\) | |||||||
\(264\) | −66.8248 | + | 30.5178i | −0.253124 | + | 0.115598i | ||||
\(265\) | −30.6130 | + | 397.819i | −0.115521 | + | 1.50120i | ||||
\(266\) | −10.4256 | − | 72.5119i | −0.0391941 | − | 0.272601i | ||||
\(267\) | −154.969 | − | 99.5927i | −0.580409 | − | 0.373006i | ||||
\(268\) | 41.3785 | − | 12.1498i | 0.154397 | − | 0.0453351i | ||||
\(269\) | 23.6331 | − | 164.372i | 0.0878555 | − | 0.611048i | −0.897561 | − | 0.440890i | \(-0.854663\pi\) |
0.985417 | − | 0.170158i | \(-0.0544279\pi\) | |||||||
\(270\) | 116.210 | − | 42.6308i | 0.430409 | − | 0.157892i | ||||
\(271\) | −240.073 | + | 154.286i | −0.885879 | + | 0.569320i | −0.902571 | − | 0.430541i | \(-0.858323\pi\) |
0.0166921 | + | 0.999861i | \(0.494686\pi\) | |||||||
\(272\) | −22.0827 | − | 25.4848i | −0.0811865 | − | 0.0936942i | ||||
\(273\) | 191.249 | + | 56.1559i | 0.700547 | + | 0.205699i | ||||
\(274\) | 339.468 | + | 155.030i | 1.23893 | + | 0.565802i | ||||
\(275\) | −151.514 | + | 95.0756i | −0.550961 | + | 0.345729i | ||||
\(276\) | 164.851 | + | 26.6115i | 0.597285 | + | 0.0964185i | ||||
\(277\) | − | 162.763i | − | 0.587593i | −0.955868 | − | 0.293796i | \(-0.905081\pi\) | ||
0.955868 | − | 0.293796i | \(-0.0949187\pi\) | |||||||
\(278\) | −205.788 | − | 93.9804i | −0.740246 | − | 0.338059i | ||||
\(279\) | 29.0178 | + | 8.52041i | 0.104007 | + | 0.0305391i | ||||
\(280\) | 105.453 | − | 22.3441i | 0.376618 | − | 0.0798004i | ||||
\(281\) | −44.1455 | − | 68.6917i | −0.157101 | − | 0.244454i | 0.753776 | − | 0.657131i | \(-0.228230\pi\) |
−0.910878 | + | 0.412677i | \(0.864594\pi\) | |||||||
\(282\) | 37.9764 | + | 32.9068i | 0.134668 | + | 0.116691i | ||||
\(283\) | −1.67113 | + | 11.6230i | −0.00590507 | + | 0.0410707i | −0.992561 | − | 0.121749i | \(-0.961150\pi\) |
0.986656 | + | 0.162820i | \(0.0520588\pi\) | |||||||
\(284\) | −69.7535 | + | 20.4815i | −0.245611 | + | 0.0721179i | ||||
\(285\) | −58.5308 | − | 108.581i | −0.205371 | − | 0.380987i | ||||
\(286\) | 72.1502 | − | 10.3736i | 0.252274 | − | 0.0362715i | ||||
\(287\) | 149.010 | + | 326.286i | 0.519199 | + | 1.13689i | ||||
\(288\) | 21.4968 | − | 9.81728i | 0.0746418 | − | 0.0340878i | ||||
\(289\) | 31.0147 | + | 215.712i | 0.107317 | + | 0.746407i | ||||
\(290\) | −8.85936 | + | 4.77565i | −0.0305495 | + | 0.0164677i | ||||
\(291\) | 64.4461 | + | 219.483i | 0.221464 | + | 0.754238i | ||||
\(292\) | −138.414 | − | 19.9010i | −0.474022 | − | 0.0681541i | ||||
\(293\) | −151.259 | + | 174.562i | −0.516241 | + | 0.595774i | −0.952686 | − | 0.303957i | \(-0.901692\pi\) |
0.436445 | + | 0.899731i | \(0.356237\pi\) | |||||||
\(294\) | −39.2922 | + | 25.2516i | −0.133647 | + | 0.0858897i | ||||
\(295\) | 49.1701 | + | 232.058i | 0.166678 | + | 0.786638i | ||||
\(296\) | 34.6039 | − | 117.850i | 0.116905 | − | 0.398142i | ||||
\(297\) | −52.0315 | + | 113.933i | −0.175190 | + | 0.383613i | ||||
\(298\) | −6.87663 | −0.0230760 | ||||||||
\(299\) | −149.504 | − | 71.4176i | −0.500013 | − | 0.238855i | ||||
\(300\) | 153.743 | − | 96.4741i | 0.512477 | − | 0.321580i | ||||
\(301\) | 97.5561 | − | 213.618i | 0.324107 | − | 0.709694i | ||||
\(302\) | −37.9767 | + | 129.337i | −0.125751 | + | 0.428267i | ||||
\(303\) | −390.112 | + | 338.034i | −1.28750 | + | 1.11562i | ||||
\(304\) | 14.6969 | + | 22.8688i | 0.0483451 | + | 0.0752264i | ||||
\(305\) | 149.256 | + | 406.869i | 0.489364 | + | 1.33400i | ||||
\(306\) | 49.3003 | + | 7.08831i | 0.161112 | + | 0.0231644i | ||||
\(307\) | 28.3670 | + | 96.6090i | 0.0924005 | + | 0.314687i | 0.992704 | − | 0.120575i | \(-0.0384738\pi\) |
−0.900304 | + | 0.435262i | \(0.856656\pi\) | |||||||
\(308\) | −58.9694 | + | 91.7582i | −0.191459 | + | 0.297916i | ||||
\(309\) | −657.335 | + | 94.5104i | −2.12730 | + | 0.305859i | ||||
\(310\) | −51.0379 | − | 3.92747i | −0.164638 | − | 0.0126692i | ||||
\(311\) | −101.141 | − | 221.467i | −0.325212 | − | 0.712114i | 0.674445 | − | 0.738325i | \(-0.264383\pi\) |
−0.999656 | + | 0.0262112i | \(0.991656\pi\) | |||||||
\(312\) | −73.2116 | + | 10.5262i | −0.234652 | + | 0.0337379i | ||||
\(313\) | −350.360 | − | 225.163i | −1.11936 | − | 0.719369i | −0.156048 | − | 0.987750i | \(-0.549875\pi\) |
−0.963313 | + | 0.268380i | \(0.913512\pi\) | |||||||
\(314\) | −75.0805 | − | 255.701i | −0.239110 | − | 0.814333i | ||||
\(315\) | −96.1011 | + | 126.941i | −0.305083 | + | 0.402988i | ||||
\(316\) | 42.4305 | + | 36.7663i | 0.134274 | + | 0.116349i | ||||
\(317\) | −173.064 | − | 269.292i | −0.545942 | − | 0.849503i | 0.453179 | − | 0.891420i | \(-0.350290\pi\) |
−0.999121 | + | 0.0419169i | \(0.986654\pi\) | |||||||
\(318\) | 268.276 | + | 309.607i | 0.843634 | + | 0.973605i | ||||
\(319\) | 2.86915 | − | 9.77144i | 0.00899421 | − | 0.0306315i | ||||
\(320\) | −32.1506 | + | 23.7978i | −0.100471 | + | 0.0743682i | ||||
\(321\) | − | 534.173i | − | 1.66409i | ||||||
\(322\) | 227.265 | − | 99.0877i | 0.705791 | − | 0.307726i | ||||
\(323\) | 57.2929i | 0.177377i | ||||||||
\(324\) | 84.0352 | − | 184.011i | 0.259368 | − | 0.567937i | ||||
\(325\) | −173.337 | + | 48.8688i | −0.533343 | + | 0.150366i | ||||
\(326\) | −253.409 | − | 292.450i | −0.777328 | − | 0.897084i | ||||
\(327\) | 89.2844 | − | 57.3796i | 0.273041 | − | 0.175473i | ||||
\(328\) | −100.595 | − | 87.1659i | −0.306691 | − | 0.265750i | ||||
\(329\) | 73.8481 | + | 10.6178i | 0.224462 | + | 0.0322728i | ||||
\(330\) | −40.0081 | + | 179.248i | −0.121237 | + | 0.543176i | ||||
\(331\) | −385.861 | − | 247.978i | −1.16574 | − | 0.749177i | −0.193030 | − | 0.981193i | \(-0.561832\pi\) |
−0.972712 | + | 0.232016i | \(0.925468\pi\) | |||||||
\(332\) | −32.0264 | − | 222.749i | −0.0964651 | − | 0.670929i | ||||
\(333\) | 75.3632 | + | 165.022i | 0.226316 | + | 0.495563i | ||||
\(334\) | 99.1552 | + | 217.120i | 0.296872 | + | 0.650059i | ||||
\(335\) | 38.2219 | − | 100.811i | 0.114095 | − | 0.300928i | ||||
\(336\) | 59.8368 | − | 93.1079i | 0.178086 | − | 0.277107i | ||||
\(337\) | −7.38979 | + | 2.16984i | −0.0219282 | + | 0.00643869i | −0.292678 | − | 0.956211i | \(-0.594546\pi\) |
0.270750 | + | 0.962650i | \(0.412728\pi\) | |||||||
\(338\) | −163.927 | − | 23.5692i | −0.484992 | − | 0.0697313i | ||||
\(339\) | −378.210 | − | 327.721i | −1.11566 | − | 0.966728i | ||||
\(340\) | −84.1196 | + | 5.55988i | −0.247410 | + | 0.0163526i | ||||
\(341\) | 39.1449 | − | 33.9192i | 0.114794 | − | 0.0994698i | ||||
\(342\) | −38.5255 | − | 11.3121i | −0.112648 | − | 0.0330763i | ||||
\(343\) | 126.345 | − | 276.657i | 0.368352 | − | 0.806579i | ||||
\(344\) | 87.1438i | 0.253325i | ||||||||
\(345\) | 301.800 | − | 288.430i | 0.874781 | − | 0.836028i | ||||
\(346\) | 213.577 | 0.617275 | ||||||||
\(347\) | −280.037 | − | 127.888i | −0.807022 | − | 0.368555i | −0.0312052 | − | 0.999513i | \(-0.509935\pi\) |
−0.775817 | + | 0.630958i | \(0.782662\pi\) | |||||||
\(348\) | −2.91136 | + | 9.91517i | −0.00836597 | + | 0.0284919i | ||||
\(349\) | 148.579 | + | 171.470i | 0.425728 | + | 0.491317i | 0.927573 | − | 0.373641i | \(-0.121891\pi\) |
−0.501845 | + | 0.864957i | \(0.667345\pi\) | |||||||
\(350\) | 114.590 | − | 243.909i | 0.327399 | − | 0.696883i | ||||
\(351\) | −82.5817 | + | 95.3044i | −0.235275 | + | 0.271522i | ||||
\(352\) | 5.76013 | − | 40.0626i | 0.0163640 | − | 0.113814i | ||||
\(353\) | 75.6710 | + | 257.712i | 0.214365 | + | 0.730062i | 0.994527 | + | 0.104483i | \(0.0333188\pi\) |
−0.780161 | + | 0.625579i | \(0.784863\pi\) | |||||||
\(354\) | 204.892 | + | 131.676i | 0.578790 | + | 0.371966i | ||||
\(355\) | −64.4324 | + | 169.941i | −0.181500 | + | 0.478708i | ||||
\(356\) | 92.3199 | − | 42.1611i | 0.259325 | − | 0.118430i | ||||
\(357\) | 212.182 | − | 96.9004i | 0.594348 | − | 0.271430i | ||||
\(358\) | 177.190 | − | 25.4760i | 0.494943 | − | 0.0711621i | ||||
\(359\) | 331.725 | − | 516.174i | 0.924024 | − | 1.43781i | 0.0251104 | − | 0.999685i | \(-0.492006\pi\) |
0.898914 | − | 0.438125i | \(-0.144357\pi\) | |||||||
\(360\) | 12.8702 | − | 57.6623i | 0.0357506 | − | 0.160173i | ||||
\(361\) | −44.8026 | + | 311.609i | −0.124107 | + | 0.863184i | ||||
\(362\) | 149.439 | − | 172.462i | 0.412815 | − | 0.476414i | ||||
\(363\) | 137.001 | + | 213.178i | 0.377413 | + | 0.587267i | ||||
\(364\) | −82.9940 | + | 71.9147i | −0.228006 | + | 0.197568i | ||||
\(365\) | −248.532 | + | 245.862i | −0.680910 | + | 0.673594i | ||||
\(366\) | 404.763 | + | 184.849i | 1.10591 | + | 0.505052i | ||||
\(367\) | 128.455 | 0.350015 | 0.175007 | − | 0.984567i | \(-0.444005\pi\) | ||||
0.175007 | + | 0.984567i | \(0.444005\pi\) | |||||||
\(368\) | −61.4374 | + | 68.4796i | −0.166949 | + | 0.186086i | ||||
\(369\) | 196.601 | 0.532795 | ||||||||
\(370\) | −182.686 | − | 246.807i | −0.493746 | − | 0.667047i | ||||
\(371\) | 583.607 | + | 171.362i | 1.57306 | + | 0.461893i | ||||
\(372\) | −39.7207 | + | 34.4182i | −0.106776 | + | 0.0925219i | ||||
\(373\) | −338.835 | + | 217.756i | −0.908405 | + | 0.583796i | −0.909272 | − | 0.416203i | \(-0.863360\pi\) |
0.000866701 | 1.00000i | \(0.499724\pi\) | ||||||||
\(374\) | 55.8618 | − | 64.4680i | 0.149363 | − | 0.172374i | ||||
\(375\) | 39.6999 | − | 452.023i | 0.105866 | − | 1.20540i | ||||
\(376\) | −26.5637 | + | 7.79981i | −0.0706482 | + | 0.0207442i | ||||
\(377\) | 5.54340 | − | 8.62570i | 0.0147040 | − | 0.0228799i | ||||
\(378\) | −26.8548 | − | 186.779i | −0.0710445 | − | 0.494125i | ||||
\(379\) | −239.541 | + | 109.395i | −0.632035 | + | 0.288641i | −0.705557 | − | 0.708653i | \(-0.749303\pi\) |
0.0735225 | + | 0.997294i | \(0.476576\pi\) | |||||||
\(380\) | 67.7602 | + | 5.21429i | 0.178316 | + | 0.0137218i | ||||
\(381\) | −119.194 | − | 829.010i | −0.312844 | − | 2.17588i | ||||
\(382\) | 32.6770 | + | 21.0002i | 0.0855418 | + | 0.0549744i | ||||
\(383\) | 414.494 | − | 121.707i | 1.08223 | − | 0.317772i | 0.308460 | − | 0.951237i | \(-0.400186\pi\) |
0.773771 | + | 0.633466i | \(0.218368\pi\) | |||||||
\(384\) | −5.84486 | + | 40.6519i | −0.0152210 | + | 0.105864i | ||||
\(385\) | 93.9117 | + | 256.001i | 0.243926 | + | 0.664938i | ||||
\(386\) | −246.459 | + | 158.390i | −0.638495 | + | 0.410336i | ||||
\(387\) | −84.2897 | − | 97.2755i | −0.217803 | − | 0.251358i | ||||
\(388\) | −120.924 | − | 35.5065i | −0.311660 | − | 0.0915115i | ||||
\(389\) | 560.623 | + | 256.028i | 1.44119 | + | 0.658169i | 0.974116 | − | 0.226049i | \(-0.0725809\pi\) |
0.467074 | + | 0.884218i | \(0.345308\pi\) | |||||||
\(390\) | −89.4936 | + | 161.812i | −0.229471 | + | 0.414901i | ||||
\(391\) | −186.957 | + | 51.4104i | −0.478152 | + | 0.131484i | ||||
\(392\) | − | 25.7330i | − | 0.0656454i | ||||||
\(393\) | 445.829 | + | 203.603i | 1.13442 | + | 0.518074i | ||||
\(394\) | −329.903 | − | 96.8682i | −0.837316 | − | 0.245858i | ||||
\(395\) | 137.311 | − | 29.0943i | 0.347622 | − | 0.0736564i | ||||
\(396\) | 32.3207 | + | 50.2919i | 0.0816178 | + | 0.127000i | ||||
\(397\) | 326.368 | + | 282.799i | 0.822085 | + | 0.712341i | 0.960574 | − | 0.278023i | \(-0.0896791\pi\) |
−0.138489 | + | 0.990364i | \(0.544225\pi\) | |||||||
\(398\) | 70.7323 | − | 491.954i | 0.177719 | − | 1.23607i | ||||
\(399\) | −180.426 | + | 52.9778i | −0.452195 | + | 0.132776i | ||||
\(400\) | −1.08015 | + | 99.9942i | −0.00270037 | + | 0.249985i | ||||
\(401\) | 423.107 | − | 60.8336i | 1.05513 | − | 0.151705i | 0.407150 | − | 0.913362i | \(-0.366523\pi\) |
0.647981 | + | 0.761657i | \(0.275614\pi\) | |||||||
\(402\) | −45.9853 | − | 100.694i | −0.114391 | − | 0.250482i | ||||
\(403\) | 47.4366 | − | 21.6636i | 0.117709 | − | 0.0537558i | ||||
\(404\) | −40.4737 | − | 281.501i | −0.100182 | − | 0.696783i | ||||
\(405\) | −239.970 | − | 445.172i | −0.592519 | − | 1.09919i | ||||
\(406\) | 4.32257 | + | 14.7213i | 0.0106467 | + | 0.0362594i | ||||
\(407\) | 307.544 | + | 44.2182i | 0.755637 | + | 0.108644i | ||||
\(408\) | −56.6835 | + | 65.4163i | −0.138930 | + | 0.160334i | ||||
\(409\) | −169.940 | + | 109.214i | −0.415500 | + | 0.267026i | −0.731646 | − | 0.681685i | \(-0.761248\pi\) |
0.316146 | + | 0.948711i | \(0.397611\pi\) | |||||||
\(410\) | −325.538 | + | 68.9771i | −0.793994 | + | 0.168237i | ||||
\(411\) | 269.882 | − | 919.135i | 0.656648 | − | 2.23634i | ||||
\(412\) | 151.993 | − | 332.817i | 0.368914 | − | 0.807809i | ||||
\(413\) | 361.613 | 0.875576 | ||||||||
\(414\) | 2.34358 | − | 135.866i | 0.00566083 | − | 0.328180i | ||||
\(415\) | −492.317 | − | 272.287i | −1.18631 | − | 0.656114i | ||||
\(416\) | 16.9284 | − | 37.0680i | 0.0406932 | − | 0.0891058i | ||||
\(417\) | −163.605 | + | 557.187i | −0.392338 | + | 1.33618i | ||||
\(418\) | −51.9705 | + | 45.0327i | −0.124331 | + | 0.107734i | ||||
\(419\) | 83.4786 | + | 129.895i | 0.199233 | + | 0.310012i | 0.926466 | − | 0.376378i | \(-0.122831\pi\) |
−0.727233 | + | 0.686390i | \(0.759194\pi\) | |||||||
\(420\) | −95.2931 | − | 259.767i | −0.226888 | − | 0.618493i | ||||
\(421\) | 319.524 | + | 45.9406i | 0.758964 | + | 0.109123i | 0.510923 | − | 0.859627i | \(-0.329304\pi\) |
0.248042 | + | 0.968749i | \(0.420213\pi\) | |||||||
\(422\) | 87.3158 | + | 297.370i | 0.206909 | + | 0.704669i | ||||
\(423\) | 22.1078 | − | 34.4004i | 0.0522642 | − | 0.0813247i | ||||
\(424\) | −223.409 | + | 32.1213i | −0.526907 | + | 0.0757578i | ||||
\(425\) | −115.853 | + | 176.060i | −0.272595 | + | 0.414258i | ||||
\(426\) | 77.5195 | + | 169.744i | 0.181971 | + | 0.398460i | ||||
\(427\) | 653.940 | − | 94.0223i | 1.53147 | − | 0.220193i | ||||
\(428\) | 247.582 | + | 159.111i | 0.578463 | + | 0.371756i | ||||
\(429\) | −52.7135 | − | 179.526i | −0.122875 | − | 0.418475i | ||||
\(430\) | 173.698 | + | 131.498i | 0.403949 | + | 0.305810i | ||||
\(431\) | −224.478 | − | 194.512i | −0.520832 | − | 0.451303i | 0.354339 | − | 0.935117i | \(-0.384706\pi\) |
−0.875171 | + | 0.483814i | \(0.839251\pi\) | |||||||
\(432\) | 37.8569 | + | 58.9065i | 0.0876317 | + | 0.136358i | ||||
\(433\) | 349.105 | + | 402.889i | 0.806247 | + | 0.930459i | 0.998707 | − | 0.0508461i | \(-0.0161918\pi\) |
−0.192459 | + | 0.981305i | \(0.561646\pi\) | |||||||
\(434\) | −21.9848 | + | 74.8733i | −0.0506562 | + | 0.172519i | ||||
\(435\) | 15.3701 | + | 20.7648i | 0.0353335 | + | 0.0477352i | ||||
\(436\) | 58.4736i | 0.134114i | ||||||||
\(437\) | 155.079 | − | 19.5735i | 0.354872 | − | 0.0447905i | ||||
\(438\) | 358.946i | 0.819511i | ||||||||
\(439\) | 317.585 | − | 695.413i | 0.723427 | − | 1.58408i | −0.0856110 | − | 0.996329i | \(-0.527284\pi\) |
0.809038 | − | 0.587756i | \(-0.199989\pi\) | |||||||
\(440\) | −71.1622 | − | 71.9350i | −0.161732 | − | 0.163489i | ||||
\(441\) | 24.8902 | + | 28.7248i | 0.0564403 | + | 0.0651356i | ||||
\(442\) | 72.2510 | − | 46.4329i | 0.163464 | − | 0.105052i | ||||
\(443\) | −559.557 | − | 484.859i | −1.26311 | − | 1.09449i | −0.991229 | − | 0.132158i | \(-0.957809\pi\) |
−0.271879 | − | 0.962331i | \(-0.587645\pi\) | |||||||
\(444\) | −312.068 | − | 44.8686i | −0.702856 | − | 0.101055i | ||||
\(445\) | 55.2721 | − | 247.635i | 0.124207 | − | 0.556484i | ||||
\(446\) | −60.7550 | − | 39.0449i | −0.136222 | − | 0.0875446i | ||||
\(447\) | 2.51206 | + | 17.4718i | 0.00561983 | + | 0.0390867i | ||||
\(448\) | 25.3310 | + | 55.4672i | 0.0565425 | + | 0.123811i | ||||
\(449\) | 350.163 | + | 766.750i | 0.779873 | + | 1.70768i | 0.703601 | + | 0.710596i | \(0.251574\pi\) |
0.0762718 | + | 0.997087i | \(0.475698\pi\) | |||||||
\(450\) | −95.5134 | − | 112.665i | −0.212252 | − | 0.250366i | ||||
\(451\) | 182.041 | − | 283.261i | 0.403638 | − | 0.628073i | ||||
\(452\) | 264.550 | − | 77.6789i | 0.585288 | − | 0.171856i | ||||
\(453\) | 342.484 | + | 49.2418i | 0.756036 | + | 0.108702i | ||||
\(454\) | −184.848 | − | 160.172i | −0.407155 | − | 0.352802i | ||||
\(455\) | 18.1064 | + | 273.944i | 0.0397942 | + | 0.602076i | ||||
\(456\) | 52.7350 | − | 45.6952i | 0.115647 | − | 0.100209i | ||||
\(457\) | −288.254 | − | 84.6389i | −0.630752 | − | 0.185205i | −0.0492970 | − | 0.998784i | \(-0.515698\pi\) |
−0.581455 | + | 0.813579i | \(0.697516\pi\) | |||||||
\(458\) | 224.693 | − | 492.008i | 0.490596 | − | 1.07425i | ||||
\(459\) | 147.577i | 0.321519i | ||||||||
\(460\) | 43.7878 | + | 225.793i | 0.0951910 | + | 0.490855i | ||||
\(461\) | 243.955 | 0.529186 | 0.264593 | − | 0.964360i | \(-0.414762\pi\) | ||||
0.264593 | + | 0.964360i | \(0.414762\pi\) | |||||||
\(462\) | 254.676 | + | 116.307i | 0.551247 | + | 0.251746i | ||||
\(463\) | −159.982 | + | 544.848i | −0.345533 | + | 1.17678i | 0.585143 | + | 0.810930i | \(0.301039\pi\) |
−0.930675 | + | 0.365846i | \(0.880780\pi\) | |||||||
\(464\) | −3.72836 | − | 4.30276i | −0.00803526 | − | 0.00927319i | ||||
\(465\) | 8.66564 | + | 131.109i | 0.0186358 | + | 0.281955i | ||||
\(466\) | 274.893 | − | 317.244i | 0.589900 | − | 0.680781i | ||||
\(467\) | 72.5666 | − | 504.712i | 0.155389 | − | 1.08075i | −0.751606 | − | 0.659612i | \(-0.770721\pi\) |
0.906995 | − | 0.421141i | \(-0.138370\pi\) | |||||||
\(468\) | 16.9574 | + | 57.7516i | 0.0362338 | + | 0.123401i | ||||
\(469\) | −138.264 | − | 88.8571i | −0.294807 | − | 0.189461i | ||||
\(470\) | −24.5373 | + | 64.7174i | −0.0522071 | + | 0.137697i | ||||
\(471\) | −622.243 | + | 284.169i | −1.32111 | + | 0.603331i | ||||
\(472\) | −122.060 | + | 55.7430i | −0.258602 | + | 0.118100i | ||||
\(473\) | −218.201 | + | 31.3725i | −0.461312 | + | 0.0663267i | ||||
\(474\) | 77.9136 | − | 121.236i | 0.164375 | − | 0.255772i | ||||
\(475\) | 112.642 | − | 127.194i | 0.237142 | − | 0.267776i | ||||
\(476\) | −18.2896 | + | 127.207i | −0.0384235 | + | 0.267242i | ||||
\(477\) | 218.314 | − | 251.947i | 0.457681 | − | 0.528191i | ||||
\(478\) | 59.1021 | + | 91.9647i | 0.123645 | + | 0.192395i | ||||
\(479\) | −254.357 | + | 220.402i | −0.531017 | + | 0.460129i | −0.878626 | − | 0.477511i | \(-0.841539\pi\) |
0.347609 | + | 0.937640i | \(0.386994\pi\) | |||||||
\(480\) | 72.2089 | + | 72.9932i | 0.150435 | + | 0.152069i | ||||
\(481\) | 284.556 | + | 129.952i | 0.591592 | + | 0.270171i | ||||
\(482\) | −207.351 | −0.430189 | ||||||||
\(483\) | −334.777 | − | 541.225i | −0.693121 | − | 1.12055i | ||||
\(484\) | −139.613 | −0.288457 | ||||||||
\(485\) | −253.245 | + | 187.451i | −0.522154 | + | 0.386497i | ||||
\(486\) | −284.440 | − | 83.5192i | −0.585268 | − | 0.171850i | ||||
\(487\) | 358.917 | − | 311.004i | 0.736997 | − | 0.638611i | −0.203241 | − | 0.979129i | \(-0.565148\pi\) |
0.940238 | + | 0.340517i | \(0.110602\pi\) | |||||||
\(488\) | −206.240 | + | 132.542i | −0.422622 | + | 0.271603i | ||||
\(489\) | −650.468 | + | 750.681i | −1.33020 | + | 1.53513i | ||||
\(490\) | −51.2918 | − | 38.8306i | −0.104677 | − | 0.0792461i | ||||
\(491\) | −704.270 | + | 206.792i | −1.43436 | + | 0.421166i | −0.904337 | − | 0.426818i | \(-0.859634\pi\) |
−0.530022 | + | 0.847984i | \(0.677816\pi\) | |||||||
\(492\) | −184.719 | + | 287.428i | −0.375444 | + | 0.584203i | ||||
\(493\) | −1.70767 | − | 11.8771i | −0.00346383 | − | 0.0240914i | ||||
\(494\) | −62.9791 | + | 28.7616i | −0.127488 | + | 0.0582218i | ||||
\(495\) | 149.015 | + | 11.4670i | 0.301040 | + | 0.0231656i | ||||
\(496\) | −4.12097 | − | 28.6620i | −0.00830841 | − | 0.0577863i | ||||
\(497\) | 233.078 | + | 149.790i | 0.468970 | + | 0.301389i | ||||
\(498\) | −554.248 | + | 162.742i | −1.11295 | + | 0.326791i | ||||
\(499\) | −25.0105 | + | 173.952i | −0.0501212 | + | 0.348601i | 0.949293 | + | 0.314391i | \(0.101800\pi\) |
−0.999415 | + | 0.0342094i | \(0.989109\pi\) | |||||||
\(500\) | 197.682 | + | 153.042i | 0.395363 | + | 0.306085i | ||||
\(501\) | 515.424 | − | 331.243i | 1.02879 | − | 0.661164i | ||||
\(502\) | 407.598 | + | 470.394i | 0.811949 | + | 0.937039i | ||||
\(503\) | −674.432 | − | 198.031i | −1.34082 | − | 0.393700i | −0.468857 | − | 0.883274i | \(-0.655334\pi\) |
−0.871962 | + | 0.489574i | \(0.837152\pi\) | |||||||
\(504\) | −81.9267 | − | 37.4146i | −0.162553 | − | 0.0742354i | ||||
\(505\) | −622.170 | − | 344.106i | −1.23202 | − | 0.681397i | ||||
\(506\) | −193.585 | − | 129.181i | −0.382579 | − | 0.255298i | ||||
\(507\) | 425.107i | 0.838476i | ||||||||
\(508\) | 419.739 | + | 191.688i | 0.826257 | + | 0.377339i | ||||
\(509\) | 550.928 | + | 161.767i | 1.08237 | + | 0.317813i | 0.773828 | − | 0.633396i | \(-0.218340\pi\) |
0.308545 | + | 0.951210i | \(0.400158\pi\) | |||||||
\(510\) | 44.8555 | + | 211.695i | 0.0879519 | + | 0.415089i | ||||
\(511\) | 288.127 | + | 448.334i | 0.563849 | + | 0.877367i | ||||
\(512\) | −17.1007 | − | 14.8178i | −0.0333997 | − | 0.0289410i | ||||
\(513\) | 16.9310 | − | 117.758i | 0.0330040 | − | 0.229548i | ||||
\(514\) | 148.309 | − | 43.5476i | 0.288540 | − | 0.0847229i | ||||
\(515\) | −434.028 | − | 805.172i | −0.842774 | − | 1.56344i | ||||
\(516\) | 221.410 | − | 31.8340i | 0.429090 | − | 0.0616938i | ||||
\(517\) | −29.0932 | − | 63.7053i | −0.0562731 | − | 0.123221i | ||||
\(518\) | −425.799 | + | 194.456i | −0.822006 | + | 0.375398i | ||||
\(519\) | −78.0206 | − | 542.645i | −0.150329 | − | 1.04556i | ||||
\(520\) | −48.3405 | − | 89.6771i | −0.0929625 | − | 0.172456i | ||||
\(521\) | 177.005 | + | 602.824i | 0.339741 | + | 1.15705i | 0.935334 | + | 0.353766i | \(0.115099\pi\) |
−0.595593 | + | 0.803287i | \(0.703083\pi\) | |||||||
\(522\) | 8.32367 | + | 1.19676i | 0.0159457 | + | 0.00229265i | ||||
\(523\) | −272.723 | + | 314.739i | −0.521459 | + | 0.601796i | −0.953996 | − | 0.299820i | \(-0.903073\pi\) |
0.432536 | + | 0.901617i | \(0.357619\pi\) | |||||||
\(524\) | −227.164 | + | 145.990i | −0.433519 | + | 0.278606i | ||||
\(525\) | −661.571 | − | 202.042i | −1.26014 | − | 0.384842i | ||||
\(526\) | 20.0666 | − | 68.3406i | 0.0381495 | − | 0.129925i | ||||
\(527\) | 25.3522 | − | 55.5135i | 0.0481066 | − | 0.105339i | ||||
\(528\) | −103.893 | −0.196767 | ||||||||
\(529\) | 203.028 | + | 488.488i | 0.383796 | + | 0.923418i | ||||
\(530\) | −273.094 | + | 493.776i | −0.515272 | + | 0.931652i | ||||
\(531\) | 82.3341 | − | 180.286i | 0.155055 | − | 0.339522i | ||||
\(532\) | 29.1880 | − | 99.4053i | 0.0548647 | − | 0.186852i | ||||
\(533\) | 256.206 | − | 222.004i | 0.480686 | − | 0.416517i | ||||
\(534\) | −140.845 | − | 219.160i | −0.263755 | − | 0.410411i | ||||
\(535\) | 690.743 | − | 253.393i | 1.29111 | − | 0.473631i | ||||
\(536\) | 60.3677 | + | 8.67956i | 0.112626 | + | 0.0161932i | ||||
\(537\) | −129.456 | − | 440.888i | −0.241073 | − | 0.821020i | ||||
\(538\) | 126.968 | − | 197.566i | 0.236000 | − | 0.367224i | ||||
\(539\) | 64.4332 | − | 9.26409i | 0.119542 | − | 0.0171876i | ||||
\(540\) | 174.540 | + | 13.4312i | 0.323222 | + | 0.0248726i | ||||
\(541\) | −275.152 | − | 602.500i | −0.508600 | − | 1.11368i | −0.973578 | − | 0.228356i | \(-0.926665\pi\) |
0.464978 | − | 0.885322i | \(-0.346062\pi\) | |||||||
\(542\) | −399.474 | + | 57.4357i | −0.737037 | + | 0.105970i | ||||
\(543\) | −492.772 | − | 316.686i | −0.907500 | − | 0.583215i | ||||
\(544\) | −13.4356 | − | 45.7573i | −0.0246977 | − | 0.0841127i | ||||
\(545\) | 116.551 | + | 88.2355i | 0.213856 | + | 0.161900i | ||||
\(546\) | 213.035 | + | 184.596i | 0.390174 | + | 0.338088i | ||||
\(547\) | 254.943 | + | 396.699i | 0.466075 | + | 0.725226i | 0.992128 | − | 0.125225i | \(-0.0399652\pi\) |
−0.526054 | + | 0.850451i | \(0.676329\pi\) | |||||||
\(548\) | 345.618 | + | 398.865i | 0.630691 | + | 0.727856i | ||||
\(549\) | 102.017 | − | 347.437i | 0.185823 | − | 0.632854i | ||||
\(550\) | −250.766 | + | 33.2941i | −0.455937 | + | 0.0605348i | ||||
\(551\) | 9.67311i | 0.0175556i | ||||||||
\(552\) | 196.432 | + | 131.081i | 0.355856 | + | 0.237465i | ||||
\(553\) | − | 213.969i | − | 0.386924i | ||||||
\(554\) | 95.6210 | − | 209.381i | 0.172601 | − | 0.377944i | ||||
\(555\) | −560.339 | + | 554.319i | −1.00962 | + | 0.998772i | ||||
\(556\) | −209.517 | − | 241.795i | −0.376829 | − | 0.434884i | ||||
\(557\) | −741.626 | + | 476.614i | −1.33147 | + | 0.855681i | −0.996255 | − | 0.0864623i | \(-0.972444\pi\) |
−0.335210 | + | 0.942143i | \(0.608807\pi\) | |||||||
\(558\) | 32.3233 | + | 28.0083i | 0.0579271 | + | 0.0501942i | ||||
\(559\) | −219.688 | − | 31.5864i | −0.393002 | − | 0.0565052i | ||||
\(560\) | 148.783 | + | 33.2084i | 0.265684 | + | 0.0593006i | ||||
\(561\) | −184.203 | − | 118.380i | −0.328348 | − | 0.211016i | ||||
\(562\) | −16.4340 | − | 114.301i | −0.0292419 | − | 0.203382i | ||||
\(563\) | −30.4263 | − | 66.6242i | −0.0540431 | − | 0.118338i | 0.880684 | − | 0.473704i | \(-0.157083\pi\) |
−0.934727 | + | 0.355366i | \(0.884356\pi\) | |||||||
\(564\) | 29.5212 | + | 64.6424i | 0.0523425 | + | 0.114614i | ||||
\(565\) | 244.369 | − | 644.526i | 0.432511 | − | 1.14075i | ||||
\(566\) | −8.97811 | + | 13.9702i | −0.0158624 | + | 0.0246824i | ||||
\(567\) | −739.727 | + | 217.203i | −1.30463 | + | 0.383075i | ||||
\(568\) | −101.764 | − | 14.6315i | −0.179163 | − | 0.0257597i | ||||
\(569\) | 414.489 | + | 359.157i | 0.728452 | + | 0.631208i | 0.938018 | − | 0.346587i | \(-0.112659\pi\) |
−0.209566 | + | 0.977795i | \(0.567205\pi\) | |||||||
\(570\) | −11.5049 | − | 174.066i | −0.0201841 | − | 0.305379i | ||||
\(571\) | 646.191 | − | 559.928i | 1.13168 | − | 0.980609i | 0.131741 | − | 0.991284i | \(-0.457943\pi\) |
0.999943 | + | 0.0106748i | \(0.00339796\pi\) | |||||||
\(572\) | 98.9094 | + | 29.0424i | 0.172919 | + | 0.0507735i | ||||
\(573\) | 41.4192 | − | 90.6954i | 0.0722848 | − | 0.158282i | ||||
\(574\) | 507.280i | 0.883764i | ||||||||
\(575\) | 516.134 | + | 253.439i | 0.897624 | + | 0.440763i | ||||
\(576\) | 33.4213 | 0.0580232 | ||||||||
\(577\) | 265.002 | + | 121.022i | 0.459275 | + | 0.209744i | 0.631597 | − | 0.775297i | \(-0.282400\pi\) |
−0.172322 | + | 0.985041i | \(0.555127\pi\) | |||||||
\(578\) | −86.8298 | + | 295.715i | −0.150225 | + | 0.511618i | ||||
\(579\) | 492.460 | + | 568.329i | 0.850536 | + | 0.981570i | ||||
\(580\) | −14.2024 | + | 0.938710i | −0.0244869 | + | 0.00161846i | ||||
\(581\) | −561.639 | + | 648.166i | −0.966677 | + | 1.11560i | ||||
\(582\) | −46.0389 | + | 320.208i | −0.0791046 | + | 0.550185i | ||||
\(583\) | −160.858 | − | 547.832i | −0.275914 | − | 0.939677i | ||||
\(584\) | −166.367 | − | 106.917i | −0.284875 | − | 0.183078i | ||||
\(585\) | 140.701 | + | 53.3461i | 0.240514 | + | 0.0911899i | ||||
\(586\) | −297.134 | + | 135.696i | −0.507054 | + | 0.231564i | ||||
\(587\) | −314.833 | + | 143.779i | −0.536342 | + | 0.244939i | −0.665123 | − | 0.746734i | \(-0.731621\pi\) |
0.128781 | + | 0.991673i | \(0.458894\pi\) | |||||||
\(588\) | −65.3810 | + | 9.40037i | −0.111192 | + | 0.0159870i | ||||
\(589\) | −26.5984 | + | 41.3879i | −0.0451586 | + | 0.0702681i | ||||
\(590\) | −73.0777 | + | 327.410i | −0.123861 | + | 0.554931i | ||||
\(591\) | −125.603 | + | 873.585i | −0.212525 | + | 1.47815i | ||||
\(592\) | 113.750 | − | 131.275i | 0.192146 | − | 0.221748i | ||||
\(593\) | 271.916 | + | 423.110i | 0.458543 | + | 0.713508i | 0.991134 | − | 0.132865i | \(-0.0424178\pi\) |
−0.532591 | + | 0.846373i | \(0.678781\pi\) | |||||||
\(594\) | −133.868 | + | 115.997i | −0.225367 | + | 0.195282i | ||||
\(595\) | 225.954 | + | 228.408i | 0.379755 | + | 0.383880i | ||||
\(596\) | −8.84620 | − | 4.03992i | −0.0148426 | − | 0.00677839i | ||||
\(597\) | −1275.77 | −2.13697 | ||||||||
\(598\) | −150.367 | − | 179.704i | −0.251450 | − | 0.300508i | ||||
\(599\) | 664.395 | 1.10917 | 0.554587 | − | 0.832126i | \(-0.312876\pi\) | ||||
0.554587 | + | 0.832126i | \(0.312876\pi\) | |||||||
\(600\) | 254.454 | − | 33.7839i | 0.424090 | − | 0.0563065i | ||||
\(601\) | 667.484 | + | 195.991i | 1.11062 | + | 0.326108i | 0.785064 | − | 0.619414i | \(-0.212630\pi\) |
0.325558 | + | 0.945522i | \(0.394448\pi\) | |||||||
\(602\) | 250.995 | − | 217.488i | 0.416935 | − | 0.361276i | ||||
\(603\) | −75.7816 | + | 48.7018i | −0.125674 | + | 0.0807659i | ||||
\(604\) | −124.837 | + | 144.070i | −0.206684 | + | 0.238526i | ||||
\(605\) | −210.673 | + | 278.281i | −0.348221 | + | 0.459969i | ||||
\(606\) | −700.436 | + | 205.667i | −1.15583 | + | 0.339384i | ||||
\(607\) | −293.007 | + | 455.928i | −0.482714 | + | 0.751117i | −0.994127 | − | 0.108218i | \(-0.965486\pi\) |
0.511414 | + | 0.859335i | \(0.329122\pi\) | |||||||
\(608\) | 5.47119 | + | 38.0530i | 0.00899868 | + | 0.0625872i | ||||
\(609\) | 35.8241 | − | 16.3603i | 0.0588244 | − | 0.0268642i | ||||
\(610\) | −47.0244 | + | 611.087i | −0.0770892 | + | 1.00178i | ||||
\(611\) | −10.0348 | − | 69.7939i | −0.0164236 | − | 0.114229i | ||||
\(612\) | 59.2563 | + | 38.0817i | 0.0968240 | + | 0.0622250i | ||||
\(613\) | 567.729 | − | 166.700i | 0.926148 | − | 0.271941i | 0.216325 | − | 0.976322i | \(-0.430593\pi\) |
0.709823 | + | 0.704380i | \(0.248775\pi\) | |||||||
\(614\) | −20.2647 | + | 140.944i | −0.0330045 | + | 0.229551i | ||||
\(615\) | 294.173 | + | 801.910i | 0.478331 | + | 1.30392i | ||||
\(616\) | −129.766 | + | 83.3953i | −0.210659 | + | 0.135382i | ||||
\(617\) | −516.411 | − | 595.970i | −0.836971 | − | 0.965916i | 0.162814 | − | 0.986657i | \(-0.447943\pi\) |
−0.999785 | + | 0.0207410i | \(0.993397\pi\) | |||||||
\(618\) | −901.128 | − | 264.595i | −1.45814 | − | 0.428147i | ||||
\(619\) | −41.5556 | − | 18.9778i | −0.0671334 | − | 0.0306588i | 0.381565 | − | 0.924342i | \(-0.375385\pi\) |
−0.448699 | + | 0.893683i | \(0.648112\pi\) | |||||||
\(620\) | −63.3485 | − | 35.0363i | −0.102175 | − | 0.0565102i | ||||
\(621\) | 399.459 | − | 50.4182i | 0.643251 | − | 0.0811887i | ||||
\(622\) | − | 344.318i | − | 0.553565i | ||||||
\(623\) | −351.840 | − | 160.680i | −0.564752 | − | 0.257913i | ||||
\(624\) | −100.364 | − | 29.4696i | −0.160840 | − | 0.0472270i | ||||
\(625\) | 603.347 | − | 163.088i | 0.965355 | − | 0.260940i | ||||
\(626\) | −318.428 | − | 495.484i | −0.508671 | − | 0.791507i | ||||
\(627\) | 133.402 | + | 115.593i | 0.212762 | + | 0.184359i | ||||
\(628\) | 53.6358 | − | 373.045i | 0.0854074 | − | 0.594021i | ||||
\(629\) | 351.260 | − | 103.139i | 0.558442 | − | 0.163973i | ||||
\(630\) | −198.202 | + | 106.841i | −0.314606 | + | 0.169589i | ||||
\(631\) | 491.508 | − | 70.6681i | 0.778934 | − | 0.111994i | 0.258632 | − | 0.965976i | \(-0.416728\pi\) |
0.520302 | + | 0.853982i | \(0.325819\pi\) | |||||||
\(632\) | 32.9836 | + | 72.2239i | 0.0521892 | + | 0.114278i | ||||
\(633\) | 723.645 | − | 330.478i | 1.14320 | − | 0.522082i | ||||
\(634\) | −64.4262 | − | 448.094i | −0.101619 | − | 0.706773i | ||||
\(635\) | 1015.46 | − | 547.383i | 1.59915 | − | 0.862020i | ||||
\(636\) | 163.224 | + | 555.890i | 0.256642 | + | 0.874041i | ||||
\(637\) | 64.8725 | + | 9.32726i | 0.101841 | + | 0.0146425i | ||||
\(638\) | 9.43150 | − | 10.8845i | 0.0147829 | − | 0.0170604i | ||||
\(639\) | 127.748 | − | 82.0989i | 0.199919 | − | 0.128480i | ||||
\(640\) | −55.3399 | + | 11.7258i | −0.0864686 | + | 0.0183216i | ||||
\(641\) | −261.772 | + | 891.514i | −0.408381 | + | 1.39082i | 0.456895 | + | 0.889521i | \(0.348962\pi\) |
−0.865276 | + | 0.501297i | \(0.832857\pi\) | |||||||
\(642\) | 313.819 | − | 687.167i | 0.488814 | − | 1.07035i | ||||
\(643\) | −146.206 | −0.227381 | −0.113691 | − | 0.993516i | \(-0.536267\pi\) | ||||
−0.113691 | + | 0.993516i | \(0.536267\pi\) | |||||||
\(644\) | 350.569 | + | 6.04703i | 0.544362 | + | 0.00938980i | ||||
\(645\) | 270.651 | − | 489.359i | 0.419615 | − | 0.758696i | ||||
\(646\) | −33.6587 | + | 73.7023i | −0.0521033 | + | 0.114090i | ||||
\(647\) | −225.381 | + | 767.579i | −0.348348 | + | 1.18637i | 0.579988 | + | 0.814625i | \(0.303057\pi\) |
−0.928337 | + | 0.371741i | \(0.878761\pi\) | |||||||
\(648\) | 216.208 | − | 187.345i | 0.333655 | − | 0.289113i | ||||
\(649\) | −183.518 | − | 285.560i | −0.282771 | − | 0.440000i | ||||
\(650\) | −251.692 | − | 38.9672i | −0.387219 | − | 0.0599496i | ||||
\(651\) | 198.265 | + | 28.5062i | 0.304555 | + | 0.0437883i | ||||
\(652\) | −154.179 | − | 525.085i | −0.236471 | − | 0.805345i | ||||
\(653\) | 285.634 | − | 444.456i | 0.437418 | − | 0.680636i | −0.550635 | − | 0.834746i | \(-0.685614\pi\) |
0.988054 | + | 0.154110i | \(0.0492509\pi\) | |||||||
\(654\) | 148.566 | − | 21.3606i | 0.227166 | − | 0.0326615i | ||||
\(655\) | −51.7954 | + | 673.086i | −0.0790769 | + | 1.02761i | ||||
\(656\) | −78.1978 | − | 171.229i | −0.119204 | − | 0.261020i | ||||
\(657\) | 289.125 | − | 41.5699i | 0.440068 | − | 0.0632723i | ||||
\(658\) | 88.7615 | + | 57.0435i | 0.134896 | + | 0.0866923i | ||||
\(659\) | −79.5144 | − | 270.801i | −0.120659 | − | 0.410928i | 0.876906 | − | 0.480661i | \(-0.159603\pi\) |
−0.997566 | + | 0.0697336i | \(0.977785\pi\) | |||||||
\(660\) | −156.773 | + | 207.083i | −0.237534 | + | 0.313762i | ||||
\(661\) | −357.903 | − | 310.125i | −0.541458 | − | 0.469176i | 0.340672 | − | 0.940182i | \(-0.389345\pi\) |
−0.882130 | + | 0.471006i | \(0.843891\pi\) | |||||||
\(662\) | −350.693 | − | 545.689i | −0.529748 | − | 0.824304i | ||||
\(663\) | −144.368 | − | 166.609i | −0.217749 | − | 0.251296i | ||||
\(664\) | 89.6624 | − | 305.362i | 0.135034 | − | 0.459882i | ||||
\(665\) | −154.094 | − | 208.179i | −0.231720 | − | 0.313051i | ||||
\(666\) | 256.562i | 0.385228i | ||||||||
\(667\) | −31.5652 | + | 8.67994i | −0.0473241 | + | 0.0130134i | ||||
\(668\) | 337.558i | 0.505326i | ||||||||
\(669\) | −77.0091 | + | 168.626i | −0.115111 | + | 0.252057i | ||||
\(670\) | 108.394 | − | 107.230i | 0.161782 | − | 0.160044i | ||||
\(671\) | −406.122 | − | 468.690i | −0.605249 | − | 0.698495i | ||||
\(672\) | 131.675 | − | 84.6221i | 0.195944 | − | 0.125926i | ||||
\(673\) | 840.294 | + | 728.119i | 1.24858 | + | 1.08190i | 0.993364 | + | 0.115017i | \(0.0366922\pi\) |
0.255217 | + | 0.966884i | \(0.417853\pi\) | |||||||
\(674\) | −10.7811 | − | 1.55009i | −0.0159957 | − | 0.00229983i | ||||
\(675\) | 290.149 | − | 327.631i | 0.429850 | − | 0.485379i | ||||
\(676\) | −197.032 | − | 126.625i | −0.291467 | − | 0.187314i | ||||
\(677\) | −126.890 | − | 882.542i | −0.187430 | − | 1.30361i | −0.838630 | − | 0.544701i | \(-0.816643\pi\) |
0.651200 | − | 0.758906i | \(-0.274266\pi\) | |||||||
\(678\) | −294.003 | − | 643.778i | −0.433633 | − | 0.949525i | ||||
\(679\) | 199.528 | + | 436.905i | 0.293855 | + | 0.643453i | ||||
\(680\) | −111.479 | − | 42.2667i | −0.163940 | − | 0.0621569i | ||||
\(681\) | −339.430 | + | 528.164i | −0.498430 | + | 0.775571i | ||||
\(682\) | 70.2835 | − | 20.6371i | 0.103055 | − | 0.0302597i | ||||
\(683\) | 681.600 | + | 97.9993i | 0.997950 | + | 0.143484i | 0.621884 | − | 0.783109i | \(-0.286367\pi\) |
0.376066 | + | 0.926593i | \(0.377277\pi\) | |||||||
\(684\) | −42.9140 | − | 37.1852i | −0.0627397 | − | 0.0543643i | ||||
\(685\) | 1316.56 | − | 87.0182i | 1.92199 | − | 0.127034i | ||||
\(686\) | 325.064 | − | 281.669i | 0.473854 | − | 0.410596i | ||||
\(687\) | −1332.15 | − | 391.154i | −1.93908 | − | 0.569366i | ||||
\(688\) | −51.1957 | + | 112.103i | −0.0744124 | + | 0.162940i | ||||
\(689\) | − | 574.852i | − | 0.834329i | ||||||
\(690\) | 557.687 | − | 193.737i | 0.808243 | − | 0.280778i | ||||
\(691\) | −210.454 | −0.304564 | −0.152282 | − | 0.988337i | \(-0.548662\pi\) | ||||
−0.152282 | + | 0.988337i | \(0.548662\pi\) | |||||||
\(692\) | 274.748 | + | 125.473i | 0.397035 | + | 0.181320i | ||||
\(693\) | 64.1887 | − | 218.607i | 0.0926245 | − | 0.315450i | ||||
\(694\) | −285.110 | − | 329.035i | −0.410822 | − | 0.474114i | ||||
\(695\) | −798.111 | + | 52.7512i | −1.14836 | + | 0.0759010i | ||||
\(696\) | −9.57023 | + | 11.0446i | −0.0137503 | + | 0.0158687i | ||||
\(697\) | 56.4607 | − | 392.693i | 0.0810053 | − | 0.563404i | ||||
\(698\) | 90.3985 | + | 307.869i | 0.129511 | + | 0.441073i | ||||
\(699\) | −906.456 | − | 582.544i | −1.29679 | − | 0.833396i | ||||
\(700\) | 290.703 | − | 246.448i | 0.415290 | − | 0.352069i | ||||
\(701\) | −826.759 | + | 377.568i | −1.17940 | + | 0.538614i | −0.905996 | − | 0.423286i | \(-0.860877\pi\) |
−0.273403 | + | 0.961900i | \(0.588149\pi\) | |||||||
\(702\) | −162.224 | + | 74.0853i | −0.231089 | + | 0.105535i | ||||
\(703\) | −292.117 | + | 42.0001i | −0.415530 | + | 0.0597441i | ||||
\(704\) | 30.9461 | − | 48.1531i | 0.0439576 | − | 0.0683993i | ||||
\(705\) | 173.394 | + | 38.7015i | 0.245949 | + | 0.0548958i | ||||
\(706\) | −54.0577 | + | 375.980i | −0.0765690 | + | 0.532549i | ||||
\(707\) | −709.777 | + | 819.126i | −1.00393 | + | 1.15859i | ||||
\(708\) | 186.218 | + | 289.761i | 0.263020 | + | 0.409267i | ||||
\(709\) | 147.539 | − | 127.843i | 0.208094 | − | 0.180314i | −0.544578 | − | 0.838710i | \(-0.683310\pi\) |
0.752672 | + | 0.658396i | \(0.228765\pi\) | |||||||
\(710\) | −182.725 | + | 180.762i | −0.257359 | + | 0.254594i | ||||
\(711\) | −106.677 | − | 48.7177i | −0.150038 | − | 0.0685199i | ||||
\(712\) | 143.531 | 0.201588 | ||||||||
\(713\) | −158.924 | − | 49.6571i | −0.222895 | − | 0.0696453i | ||||
\(714\) | 329.882 | 0.462019 | ||||||||
\(715\) | 207.141 | − | 153.325i | 0.289707 | − | 0.214441i | ||||
\(716\) | 242.906 | + | 71.3237i | 0.339254 | + | 0.0996141i | ||||
\(717\) | 212.069 | − | 183.758i | 0.295772 | − | 0.256288i | ||||
\(718\) | 729.980 | − | 469.130i | 1.01669 | − | 0.653384i | ||||
\(719\) | 601.132 | − | 693.744i | 0.836067 | − | 0.964873i | −0.163699 | − | 0.986510i | \(-0.552343\pi\) |
0.999766 | + | 0.0216375i | \(0.00688798\pi\) | |||||||
\(720\) | 50.4322 | − | 66.6165i | 0.0700447 | − | 0.0925229i | ||||
\(721\) | −1337.93 | + | 392.851i | −1.85566 | + | 0.544870i | ||||
\(722\) | −240.701 | + | 374.538i | −0.333380 | + | 0.518750i | ||||
\(723\) | 75.7463 | + | 526.827i | 0.104767 | + | 0.728668i | ||||
\(724\) | 293.559 | − | 134.064i | 0.405469 | − | 0.185171i | ||||
\(725\) | −19.5601 | + | 29.7252i | −0.0269795 | + | 0.0410003i | ||||
\(726\) | 51.0012 | + | 354.721i | 0.0702496 | + | 0.488597i | ||||
\(727\) | −162.210 | − | 104.246i | −0.223123 | − | 0.143392i | 0.424304 | − | 0.905520i | \(-0.360519\pi\) |
−0.647427 | + | 0.762127i | \(0.724155\pi\) | |||||||
\(728\) | −149.014 | + | 43.7543i | −0.204689 | + | 0.0601021i | ||||
\(729\) | 21.2574 | − | 147.849i | 0.0291597 | − | 0.202810i | ||||
\(730\) | −464.155 | + | 170.271i | −0.635829 | + | 0.233248i | ||||
\(731\) | −218.505 | + | 140.425i | −0.298913 | + | 0.192100i | ||||
\(732\) | 412.096 | + | 475.584i | 0.562973 | + | 0.649705i | ||||
\(733\) | 571.599 | + | 167.837i | 0.779808 | + | 0.228972i | 0.647326 | − | 0.762213i | \(-0.275887\pi\) |
0.132482 | + | 0.991185i | \(0.457705\pi\) | |||||||
\(734\) | 165.247 | + | 75.4657i | 0.225132 | + | 0.102814i | ||||
\(735\) | −79.9216 | + | 144.504i | −0.108737 | + | 0.196605i | ||||
\(736\) | −119.265 | + | 51.9995i | −0.162044 | + | 0.0706515i | ||||
\(737\) | 154.280i | 0.209335i | ||||||||
\(738\) | 252.911 | + | 115.500i | 0.342697 | + | 0.156505i | ||||
\(739\) | −858.405 | − | 252.050i | −1.16158 | − | 0.341070i | −0.356531 | − | 0.934283i | \(-0.616041\pi\) |
−0.805045 | + | 0.593214i | \(0.797859\pi\) | |||||||
\(740\) | −90.0142 | − | 424.822i | −0.121641 | − | 0.574084i | ||||
\(741\) | 96.0823 | + | 149.507i | 0.129666 | + | 0.201764i | ||||
\(742\) | 650.087 | + | 563.303i | 0.876128 | + | 0.759169i | ||||
\(743\) | −100.531 | + | 699.211i | −0.135305 | + | 0.941065i | 0.803178 | + | 0.595739i | \(0.203141\pi\) |
−0.938483 | + | 0.345326i | \(0.887768\pi\) | |||||||
\(744\) | −71.3174 | + | 20.9407i | −0.0958567 | + | 0.0281461i | ||||
\(745\) | −21.4013 | + | 11.5364i | −0.0287265 | + | 0.0154850i | ||||
\(746\) | −563.811 | + | 81.0637i | −0.755778 | + | 0.108665i | ||||
\(747\) | 195.274 | + | 427.590i | 0.261411 | + | 0.572410i | ||||
\(748\) | 109.735 | − | 50.1145i | 0.146705 | − | 0.0669980i | ||||
\(749\) | −159.622 | − | 1110.20i | −0.213114 | − | 1.48224i | ||||
\(750\) | 316.628 | − | 558.166i | 0.422170 | − | 0.744221i | ||||
\(751\) | 74.8159 | + | 254.799i | 0.0996216 | + | 0.339280i | 0.994188 | − | 0.107654i | \(-0.0343339\pi\) |
−0.894567 | + | 0.446934i | \(0.852516\pi\) | |||||||
\(752\) | −38.7542 | − | 5.57202i | −0.0515349 | − | 0.00740960i | ||||
\(753\) | 1046.25 | − | 1207.44i | 1.38945 | − | 1.60351i | ||||
\(754\) | 12.1986 | − | 7.83956i | 0.0161785 | − | 0.0103973i | ||||
\(755\) | 98.7875 | + | 466.228i | 0.130844 | + | 0.617520i | ||||
\(756\) | 75.1837 | − | 256.052i | 0.0994494 | − | 0.338694i | ||||
\(757\) | −140.357 | + | 307.339i | −0.185412 | + | 0.405996i | −0.979398 | − | 0.201940i | \(-0.935275\pi\) |
0.793986 | + | 0.607937i | \(0.208003\pi\) | |||||||
\(758\) | −372.417 | −0.491315 | ||||||||
\(759\) | −257.498 | + | 539.040i | −0.339259 | + | 0.710198i | ||||
\(760\) | 84.1044 | + | 46.5159i | 0.110664 | + | 0.0612051i | ||||
\(761\) | −418.963 | + | 917.400i | −0.550542 | + | 1.20552i | 0.405986 | + | 0.913879i | \(0.366928\pi\) |
−0.956528 | + | 0.291640i | \(0.905799\pi\) | |||||||
\(762\) | 333.699 | − | 1136.47i | 0.437925 | − | 1.49144i | ||||
\(763\) | 168.418 | − | 145.935i | 0.220731 | − | 0.191265i | ||||
\(764\) | 29.6988 | + | 46.2122i | 0.0388728 | + | 0.0604872i | ||||
\(765\) | 165.322 | − | 60.6470i | 0.216108 | − | 0.0792771i | ||||
\(766\) | 604.712 | + | 86.9445i | 0.789441 | + | 0.113505i | ||||
\(767\) | −96.2851 | − | 327.917i | −0.125535 | − | 0.427532i | ||||
\(768\) | −31.4013 | + | 48.8614i | −0.0408872 | + | 0.0636217i | ||||
\(769\) | 579.937 | − | 83.3823i | 0.754144 | − | 0.108430i | 0.245488 | − | 0.969400i | \(-0.421052\pi\) |
0.508656 | + | 0.860970i | \(0.330143\pi\) | |||||||
\(770\) | −29.5877 | + | 384.495i | −0.0384256 | + | 0.499344i | ||||
\(771\) | −164.821 | − | 360.908i | −0.213776 | − | 0.468104i | ||||
\(772\) | −410.100 | + | 58.9635i | −0.531218 | + | 0.0763776i | ||||
\(773\) | 200.261 | + | 128.700i | 0.259070 | + | 0.166494i | 0.663728 | − | 0.747974i | \(-0.268973\pi\) |
−0.404658 | + | 0.914468i | \(0.632609\pi\) | |||||||
\(774\) | −51.2835 | − | 174.656i | −0.0662577 | − | 0.225653i | ||||
\(775\) | −165.427 | + | 73.3990i | −0.213455 | + | 0.0947084i | ||||
\(776\) | −134.699 | − | 116.717i | −0.173581 | − | 0.150409i | ||||
\(777\) | 649.609 | + | 1010.81i | 0.836048 | + | 1.30092i | ||||
\(778\) | 570.780 | + | 658.716i | 0.733651 | + | 0.846678i | ||||
\(779\) | −90.1045 | + | 306.868i | −0.115667 | + | 0.393925i | ||||
\(780\) | −210.188 | + | 155.580i | −0.269472 | + | 0.199462i | ||||
\(781\) | − | 260.077i | − | 0.333005i | ||||||
\(782\) | −270.707 | − | 43.6997i | −0.346173 | − | 0.0558820i | ||||
\(783\) | 24.9164i | 0.0318217i | ||||||||
\(784\) | 15.1178 | − | 33.1033i | 0.0192829 | − | 0.0422236i | ||||
\(785\) | −662.631 | − | 669.827i | −0.844116 | − | 0.853283i | ||||
\(786\) | 453.906 | + | 523.836i | 0.577489 | + | 0.666458i | ||||
\(787\) | 760.543 | − | 488.771i | 0.966382 | − | 0.621056i | 0.0406251 | − | 0.999174i | \(-0.487065\pi\) |
0.925757 | + | 0.378118i | \(0.123429\pi\) | |||||||
\(788\) | −367.483 | − | 318.426i | −0.466349 | − | 0.404093i | ||||
\(789\) | −180.967 | − | 26.0191i | −0.229362 | − | 0.0329773i | ||||
\(790\) | 193.731 | + | 43.2406i | 0.245229 | + | 0.0547350i | ||||
\(791\) | −883.982 | − | 568.101i | −1.11755 | − | 0.718206i | ||||
\(792\) | 12.0320 | + | 83.6841i | 0.0151919 | + | 0.105662i | ||||
\(793\) | −259.383 | − | 567.969i | −0.327090 | − | 0.716228i | ||||
\(794\) | 253.704 | + | 555.534i | 0.319526 | + | 0.699664i | ||||
\(795\) | 1354.32 | + | 513.484i | 1.70355 | + | 0.645892i | ||||
\(796\) | 380.007 | − | 591.302i | 0.477396 | − | 0.742842i | ||||
\(797\) | −1156.58 | + | 339.602i | −1.45116 | + | 0.426100i | −0.909926 | − | 0.414770i | \(-0.863862\pi\) |
−0.541238 | + | 0.840870i | \(0.682044\pi\) | |||||||
\(798\) | −263.226 | − | 37.8462i | −0.329857 | − | 0.0474263i | ||||
\(799\) | −62.3625 | − | 54.0374i | −0.0780507 | − | 0.0676313i | ||||
\(800\) | −60.1346 | + | 127.999i | −0.0751683 | + | 0.159999i | ||||
\(801\) | −160.218 | + | 138.830i | −0.200022 | + | 0.173320i | ||||
\(802\) | 580.030 | + | 170.312i | 0.723229 | + | 0.212359i | ||||
\(803\) | 207.818 | − | 455.059i | 0.258803 | − | 0.566699i | ||||
\(804\) | − | 156.550i | − | 0.194713i | ||||||
\(805\) | 541.056 | − | 689.641i | 0.672119 | − | 0.856697i | ||||
\(806\) | 73.7502 | 0.0915014 | ||||||||
\(807\) | −548.347 | − | 250.422i | −0.679489 | − | 0.310312i | ||||
\(808\) | 113.312 | − | 385.904i | 0.140237 | − | 0.477604i | ||||
\(809\) | −337.401 | − | 389.382i | −0.417059 | − | 0.481312i | 0.507879 | − | 0.861428i | \(-0.330430\pi\) |
−0.924939 | + | 0.380116i | \(0.875884\pi\) | |||||||
\(810\) | −47.1689 | − | 713.654i | −0.0582333 | − | 0.881054i | ||||
\(811\) | 419.252 | − | 483.842i | 0.516956 | − | 0.596599i | −0.435910 | − | 0.899990i | \(-0.643573\pi\) |
0.952866 | + | 0.303391i | \(0.0981188\pi\) | |||||||
\(812\) | −3.08795 | + | 21.4771i | −0.00380289 | + | 0.0264497i | ||||
\(813\) | 291.859 | + | 993.981i | 0.358990 | + | 1.22261i | ||||
\(814\) | 369.652 | + | 237.561i | 0.454118 | + | 0.291844i | ||||
\(815\) | −1279.27 | − | 485.029i | −1.56966 | − | 0.595128i | ||||
\(816\) | −111.350 | + | 50.8517i | −0.136458 | + | 0.0623182i | ||||
\(817\) | 190.465 | − | 86.9823i | 0.233127 | − | 0.106465i | ||||
\(818\) | −282.774 | + | 40.6568i | −0.345689 | + | 0.0497026i | ||||
\(819\) | 124.017 | − | 192.974i | 0.151425 | − | 0.235622i | ||||
\(820\) | −459.299 | − | 102.515i | −0.560121 | − | 0.125019i | ||||
\(821\) | −130.149 | + | 905.205i | −0.158525 | + | 1.10256i | 0.742829 | + | 0.669481i | \(0.233483\pi\) |
−0.901354 | + | 0.433083i | \(0.857426\pi\) | |||||||
\(822\) | 887.159 | − | 1023.84i | 1.07927 | − | 1.24554i | ||||
\(823\) | 75.1738 | + | 116.973i | 0.0913412 | + | 0.142130i | 0.883917 | − | 0.467643i | \(-0.154897\pi\) |
−0.792576 | + | 0.609773i | \(0.791261\pi\) | |||||||
\(824\) | 391.051 | − | 338.847i | 0.474576 | − | 0.411223i | ||||
\(825\) | 176.198 | + | 624.969i | 0.213573 | + | 0.757538i | ||||
\(826\) | 465.184 | + | 212.442i | 0.563177 | + | 0.257194i | ||||
\(827\) | 919.340 | 1.11166 | 0.555828 | − | 0.831297i | \(-0.312401\pi\) | ||||
0.555828 | + | 0.831297i | \(0.312401\pi\) | |||||||
\(828\) | 82.8344 | − | 173.404i | 0.100042 | − | 0.209425i | ||||
\(829\) | −801.945 | −0.967365 | −0.483682 | − | 0.875244i | \(-0.660701\pi\) | ||||
−0.483682 | + | 0.875244i | \(0.660701\pi\) | |||||||
\(830\) | −473.359 | − | 639.503i | −0.570311 | − | 0.770486i | ||||
\(831\) | −566.914 | − | 166.461i | −0.682207 | − | 0.200314i | ||||
\(832\) | 43.5538 | − | 37.7396i | 0.0523484 | − | 0.0453601i | ||||
\(833\) | 64.5232 | − | 41.4665i | 0.0774588 | − | 0.0497798i | ||||
\(834\) | −537.803 | + | 620.658i | −0.644848 | + | 0.744194i | ||||
\(835\) | 672.832 | + | 509.369i | 0.805786 | + | 0.610022i | ||||
\(836\) | −93.3117 | + | 27.3988i | −0.111617 | + | 0.0327737i | ||||
\(837\) | −68.5133 | + | 106.609i | −0.0818558 | + | 0.127370i | ||||
\(838\) | 31.0764 | + | 216.141i | 0.0370841 | + | 0.257925i | ||||
\(839\) | 647.011 | − | 295.480i | 0.771169 | − | 0.352181i | 0.00933752 | − | 0.999956i | \(-0.497028\pi\) |
0.761831 | + | 0.647775i | \(0.224300\pi\) | |||||||
\(840\) | 30.0229 | − | 390.151i | 0.0357416 | − | 0.464466i | ||||
\(841\) | 119.398 | + | 830.435i | 0.141972 | + | 0.987437i | ||||
\(842\) | 384.051 | + | 246.814i | 0.456117 | + | 0.293129i | ||||
\(843\) | −284.406 | + | 83.5090i | −0.337373 | + | 0.0990617i | ||||
\(844\) | −62.3765 | + | 433.838i | −0.0739058 | + | 0.514026i | ||||
\(845\) | −549.709 | + | 201.656i | −0.650544 | + | 0.238646i | ||||
\(846\) | 48.6495 | − | 31.2651i | 0.0575053 | − | 0.0369564i | ||||
\(847\) | 348.438 | + | 402.119i | 0.411379 | + | 0.474757i | ||||
\(848\) | −306.267 | − | 89.9280i | −0.361163 | − | 0.106047i | ||||
\(849\) | 38.7745 | + | 17.7077i | 0.0456708 | + | 0.0208572i | ||||
\(850\) | −252.467 | + | 158.424i | −0.297020 | + | 0.186381i | ||||
\(851\) | −399.179 | − | 915.546i | −0.469070 | − | 1.07585i | ||||
\(852\) | 263.903i | 0.309745i | ||||||||
\(853\) | −1196.25 | − | 546.309i | −1.40240 | − | 0.640456i | −0.436582 | − | 0.899664i | \(-0.643811\pi\) |
−0.965822 | + | 0.259208i | \(0.916539\pi\) | |||||||
\(854\) | 896.474 | + | 263.228i | 1.04974 | + | 0.308230i | ||||
\(855\) | −138.875 | + | 29.4258i | −0.162427 | + | 0.0344162i | ||||
\(856\) | 225.017 | + | 350.134i | 0.262871 | + | 0.409035i | ||||
\(857\) | −565.864 | − | 490.324i | −0.660285 | − | 0.572140i | 0.258930 | − | 0.965896i | \(-0.416630\pi\) |
−0.919215 | + | 0.393756i | \(0.871175\pi\) | |||||||
\(858\) | 37.6574 | − | 261.913i | 0.0438897 | − | 0.305260i | ||||
\(859\) | −861.925 | + | 253.084i | −1.00340 | + | 0.294626i | −0.741853 | − | 0.670563i | \(-0.766053\pi\) |
−0.261552 | + | 0.965189i | \(0.584234\pi\) | |||||||
\(860\) | 146.194 | + | 271.206i | 0.169993 | + | 0.315356i | ||||
\(861\) | 1288.87 | − | 185.312i | 1.49695 | − | 0.215228i | ||||
\(862\) | −174.499 | − | 382.100i | −0.202436 | − | 0.443272i | ||||
\(863\) | −731.220 | + | 333.937i | −0.847300 | + | 0.386949i | −0.791260 | − | 0.611480i | \(-0.790575\pi\) |
−0.0560398 | + | 0.998429i | \(0.517847\pi\) | |||||||
\(864\) | 14.0929 | + | 98.0185i | 0.0163113 | + | 0.113447i | ||||
\(865\) | 664.688 | − | 358.301i | 0.768425 | − | 0.414220i | ||||
\(866\) | 212.402 | + | 723.376i | 0.245268 | + | 0.835307i | ||||
\(867\) | 783.056 | + | 112.586i | 0.903179 | + | 0.129858i | ||||
\(868\) | −72.2685 | + | 83.4023i | −0.0832586 | + | 0.0960856i | ||||
\(869\) | −168.968 | + | 108.589i | −0.194440 | + | 0.124959i | ||||
\(870\) | 7.57323 | + | 35.7418i | 0.00870486 | + | 0.0410826i | ||||
\(871\) | −43.7621 | + | 149.040i | −0.0502435 | + | 0.171114i | ||||
\(872\) | −34.3524 | + | 75.2212i | −0.0393949 | + | 0.0862628i | ||||
\(873\) | 263.254 | 0.301551 | ||||||||
\(874\) | 210.995 | + | 65.9271i | 0.241413 | + | 0.0754314i | ||||
\(875\) | −52.5640 | − | 951.324i | −0.0600731 | − | 1.08723i | ||||
\(876\) | −210.875 | + | 461.753i | −0.240725 | + | 0.527115i | ||||
\(877\) | 161.279 | − | 549.265i | 0.183898 | − | 0.626300i | −0.815004 | − | 0.579455i | \(-0.803265\pi\) |
0.998902 | − | 0.0468444i | \(-0.0149165\pi\) | |||||||
\(878\) | 817.090 | − | 708.013i | 0.930627 | − | 0.806393i | ||||
\(879\) | 453.314 | + | 705.371i | 0.515716 | + | 0.802470i | ||||
\(880\) | −49.2832 | − | 134.345i | −0.0560037 | − | 0.152665i | ||||
\(881\) | 676.602 | + | 97.2807i | 0.767993 | + | 0.110421i | 0.515166 | − | 0.857091i | \(-0.327730\pi\) |
0.252828 | + | 0.967511i | \(0.418639\pi\) | |||||||
\(882\) | 15.1437 | + | 51.5746i | 0.0171697 | + | 0.0584746i | ||||
\(883\) | 578.559 | − | 900.255i | 0.655220 | − | 1.01954i | −0.341600 | − | 0.939846i | \(-0.610969\pi\) |
0.996819 | − | 0.0796960i | \(-0.0253949\pi\) | |||||||
\(884\) | 120.223 | − | 17.2855i | 0.135999 | − | 0.0195537i | ||||
\(885\) | 858.560 | + | 66.0679i | 0.970124 | + | 0.0746530i | ||||
\(886\) | −434.974 | − | 952.461i | −0.490942 | − | 1.07501i | ||||
\(887\) | 558.592 | − | 80.3134i | 0.629754 | − | 0.0905450i | 0.179955 | − | 0.983675i | \(-0.442405\pi\) |
0.449799 | + | 0.893130i | \(0.351496\pi\) | |||||||
\(888\) | −375.089 | − | 241.055i | −0.422398 | − | 0.271459i | ||||
\(889\) | −495.451 | − | 1687.35i | −0.557313 | − | 1.89803i | ||||
\(890\) | 216.585 | − | 286.090i | 0.243354 | − | 0.321449i | ||||
\(891\) | 546.933 | + | 473.920i | 0.613842 | + | 0.531897i | ||||
\(892\) | −55.2178 | − | 85.9206i | −0.0619034 | − | 0.0963236i | ||||
\(893\) | 43.5620 | + | 50.2733i | 0.0487817 | + | 0.0562970i | ||||
\(894\) | −7.03286 | + | 23.9517i | −0.00786674 | + | 0.0267917i | ||||
\(895\) | 508.706 | − | 376.542i | 0.568386 | − | 0.420718i | ||||
\(896\) | 86.2354i | 0.0962449i | ||||||||
\(897\) | −401.652 | + | 447.691i | −0.447773 | + | 0.499099i | ||||
\(898\) | 1192.07i | 1.32748i | ||||||||
\(899\) | 4.28037 | − | 9.37269i | 0.00476125 | − | 0.0104257i | ||||
\(900\) | −56.6810 | − | 201.046i | −0.0629789 | − | 0.223385i | ||||
\(901\) | −440.545 | − | 508.416i | −0.488951 | − | 0.564280i | ||||
\(902\) | 400.592 | − | 257.445i | 0.444115 | − | 0.285415i | ||||
\(903\) | −644.272 | − | 558.265i | −0.713480 | − | 0.618234i | ||||
\(904\) | 385.956 | + | 55.4921i | 0.426942 | + | 0.0613851i | ||||
\(905\) | 175.755 | − | 787.432i | 0.194204 | − | 0.870091i | ||||
\(906\) | 411.648 | + | 264.550i | 0.454357 | + | 0.291998i | ||||
\(907\) | −24.1297 | − | 167.826i | −0.0266039 | − | 0.185034i | 0.972186 | − | 0.234209i | \(-0.0752499\pi\) |
−0.998790 | + | 0.0491748i | \(0.984341\pi\) | |||||||
\(908\) | −143.693 | − | 314.643i | −0.158252 | − | 0.346523i | ||||
\(909\) | 246.779 | + | 540.371i | 0.271484 | + | 0.594468i | ||||
\(910\) | −137.646 | + | 363.043i | −0.151259 | + | 0.398949i | ||||
\(911\) | −485.868 | + | 756.026i | −0.533335 | + | 0.829886i | −0.998467 | − | 0.0553558i | \(-0.982371\pi\) |
0.465131 | + | 0.885242i | \(0.346007\pi\) | |||||||
\(912\) | 94.6843 | − | 27.8018i | 0.103821 | − | 0.0304845i | ||||
\(913\) | 796.879 | + | 114.574i | 0.872814 | + | 0.125492i | ||||
\(914\) | −321.089 | − | 278.225i | −0.351301 | − | 0.304404i | ||||
\(915\) | 1569.80 | − | 103.756i | 1.71562 | − | 0.113394i | ||||
\(916\) | 578.096 | − | 500.923i | 0.631109 | − | 0.546859i | ||||
\(917\) | 987.427 | + | 289.935i | 1.07680 | + | 0.316178i | ||||
\(918\) | −86.6996 | + | 189.846i | −0.0944440 | + | 0.206804i | ||||
\(919\) | 885.632i | 0.963691i | 0.876256 | + | 0.481845i | \(0.160033\pi\) | ||||
−0.876256 | + | 0.481845i | \(0.839967\pi\) | |||||||
\(920\) | −76.3210 | + | 316.188i | −0.0829576 | + | 0.343683i | ||||
\(921\) | 365.507 | 0.396858 | ||||||||
\(922\) | 313.827 | + | 143.320i | 0.340376 | + | 0.155445i | ||||
\(923\) | 73.7717 | − | 251.243i | 0.0799260 | − | 0.272203i | ||||
\(924\) | 259.290 | + | 299.237i | 0.280617 | + | 0.323849i | ||||
\(925\) | −982.598 | − | 461.629i | −1.06227 | − | 0.499058i | ||||
\(926\) | −525.893 | + | 606.913i | −0.567919 | + | 0.655413i | ||||
\(927\) | −108.766 | + | 756.486i | −0.117332 | + | 0.816059i | ||||
\(928\) | −2.26841 | − | 7.72549i | −0.00244441 | − | 0.00832488i | ||||
\(929\) | 103.134 | + | 66.2800i | 0.111016 | + | 0.0713455i | 0.594971 | − | 0.803747i | \(-0.297164\pi\) |
−0.483955 | + | 0.875093i | \(0.660800\pi\) | |||||||
\(930\) | −65.8770 | + | 173.751i | −0.0708355 | + | 0.186829i | ||||
\(931\) | −56.2429 | + | 25.6853i | −0.0604113 | + | 0.0275889i | ||||
\(932\) | 540.003 | − | 246.611i | 0.579402 | − | 0.264604i | ||||
\(933\) | −874.823 | + | 125.781i | −0.937646 | + | 0.134813i | ||||
\(934\) | 389.861 | − | 606.636i | 0.417411 | − | 0.649503i | ||||
\(935\) | 65.6989 | − | 294.350i | 0.0702662 | − | 0.314813i | ||||
\(936\) | −12.1140 | + | 84.2547i | −0.0129423 | + | 0.0900157i | ||||
\(937\) | −741.487 | + | 855.722i | −0.791342 | + | 0.913257i | −0.997873 | − | 0.0651828i | \(-0.979237\pi\) |
0.206532 | + | 0.978440i | \(0.433782\pi\) | |||||||
\(938\) | −125.663 | − | 195.535i | −0.133969 | − | 0.208460i | ||||
\(939\) | −1142.57 | + | 990.047i | −1.21680 | + | 1.05436i | ||||
\(940\) | −69.5857 | + | 68.8381i | −0.0740274 | + | 0.0732320i | ||||
\(941\) | 498.555 | + | 227.683i | 0.529814 | + | 0.241958i | 0.662316 | − | 0.749225i | \(-0.269574\pi\) |
−0.132502 | + | 0.991183i | \(0.542301\pi\) | |||||||
\(942\) | −967.407 | −1.02697 | ||||||||
\(943\) | −1082.22 | − | 18.6674i | −1.14764 | − | 0.0197958i | ||||
\(944\) | −189.768 | −0.201026 | ||||||||
\(945\) | −396.921 | − | 536.237i | −0.420022 | − | 0.567446i | ||||
\(946\) | −299.127 | − | 87.8317i | −0.316202 | − | 0.0928453i | ||||
\(947\) | −619.275 | + | 536.605i | −0.653933 | + | 0.566636i | −0.917368 | − | 0.398041i | \(-0.869690\pi\) |
0.263434 | + | 0.964677i | \(0.415145\pi\) | |||||||
\(948\) | 171.454 | − | 110.187i | 0.180858 | − | 0.116231i | ||||
\(949\) | 329.839 | − | 380.654i | 0.347565 | − | 0.401111i | ||||
\(950\) | 219.629 | − | 97.4480i | 0.231188 | − | 0.102577i | ||||
\(951\) | −1114.96 | + | 327.381i | −1.17241 | + | 0.344249i | ||||
\(952\) | −98.2603 | + | 152.896i | −0.103215 | + | 0.160605i | ||||
\(953\) | 211.663 | + | 1472.15i | 0.222102 | + | 1.54475i | 0.730068 | + | 0.683374i | \(0.239488\pi\) |
−0.507966 | + | 0.861377i | \(0.669603\pi\) | |||||||
\(954\) | 428.857 | − | 195.852i | 0.449536 | − | 0.205296i | ||||
\(955\) | 136.927 | + | 10.5368i | 0.143379 | + | 0.0110333i | ||||
\(956\) | 22.0019 | + | 153.026i | 0.0230145 | + | 0.160069i | ||||
\(957\) | −31.1002 | − | 19.9869i | −0.0324976 | − | 0.0208849i | ||||
\(958\) | −456.692 | + | 134.097i | −0.476714 | + | 0.139976i | ||||
\(959\) | 286.252 | − | 1990.93i | 0.298490 | − | 2.07605i | ||||
\(960\) | 50.0082 | + | 136.321i | 0.0520918 | + | 0.142001i | ||||
\(961\) | −764.358 | + | 491.223i | −0.795378 | + | 0.511158i | ||||
\(962\) | 289.712 | + | 334.345i | 0.301155 | + | 0.347552i | ||||
\(963\) | −589.845 | − | 173.194i | −0.612508 | − | 0.179849i | ||||
\(964\) | −266.740 | − | 121.816i | −0.276701 | − | 0.126365i | ||||
\(965\) | −501.305 | + | 906.399i | −0.519487 | + | 0.939274i | ||||
\(966\) | −112.700 | − | 892.916i | −0.116667 | − | 0.924344i | ||||
\(967\) | − | 956.987i | − | 0.989646i | −0.868994 | − | 0.494823i | \(-0.835233\pi\) | ||
0.868994 | − | 0.494823i | \(-0.164767\pi\) | |||||||
\(968\) | −179.600 | − | 82.0206i | −0.185537 | − | 0.0847321i | ||||
\(969\) | 199.555 | + | 58.5945i | 0.205939 | + | 0.0604690i | ||||
\(970\) | −435.902 | + | 92.3619i | −0.449384 | + | 0.0952185i | ||||
\(971\) | 172.190 | + | 267.933i | 0.177333 | + | 0.275936i | 0.918529 | − | 0.395353i | \(-0.129378\pi\) |
−0.741196 | + | 0.671288i | \(0.765741\pi\) | |||||||
\(972\) | −316.842 | − | 274.545i | −0.325969 | − | 0.282454i | ||||
\(973\) | −173.528 | + | 1206.92i | −0.178344 | + | 1.24041i | ||||
\(974\) | 644.427 | − | 189.221i | 0.661629 | − | 0.194272i | ||||
\(975\) | −7.06155 | + | 653.721i | −0.00724262 | + | 0.670483i | ||||
\(976\) | −343.176 | + | 49.3413i | −0.351615 | + | 0.0505546i | ||||
\(977\) | 330.911 | + | 724.593i | 0.338701 | + | 0.741651i | 0.999964 | − | 0.00850270i | \(-0.00270653\pi\) |
−0.661263 | + | 0.750154i | \(0.729979\pi\) | |||||||
\(978\) | −1277.79 | + | 583.545i | −1.30653 | + | 0.596672i | ||||
\(979\) | 51.6722 | + | 359.388i | 0.0527806 | + | 0.367097i | ||||
\(980\) | −43.1701 | − | 80.0854i | −0.0440511 | − | 0.0817198i | ||||
\(981\) | −34.4113 | − | 117.194i | −0.0350777 | − | 0.119464i | ||||
\(982\) | −1027.47 | − | 147.728i | −1.04630 | − | 0.150436i | ||||
\(983\) | 317.326 | − | 366.213i | 0.322814 | − | 0.372547i | −0.571027 | − | 0.820931i | \(-0.693455\pi\) |
0.893841 | + | 0.448384i | \(0.148000\pi\) | |||||||
\(984\) | −406.484 | + | 261.232i | −0.413094 | + | 0.265479i | ||||
\(985\) | −1189.22 | + | 251.980i | −1.20733 | + | 0.255818i | ||||
\(986\) | 4.78085 | − | 16.2821i | 0.00484873 | − | 0.0165133i | ||||
\(987\) | 112.508 | − | 246.359i | 0.113990 | − | 0.249603i | ||||
\(988\) | −97.9142 | −0.0991034 | ||||||||
\(989\) | 454.749 | + | 543.470i | 0.459806 | + | 0.549515i | ||||
\(990\) | 184.958 | + | 102.295i | 0.186826 | + | 0.103329i | ||||
\(991\) | 300.124 | − | 657.179i | 0.302849 | − | 0.663147i | −0.695623 | − | 0.718407i | \(-0.744871\pi\) |
0.998472 | + | 0.0552598i | \(0.0175987\pi\) | |||||||
\(992\) | 11.5372 | − | 39.2922i | 0.0116303 | − | 0.0396091i | ||||
\(993\) | −1258.35 | + | 1090.37i | −1.26722 | + | 1.09805i | ||||
\(994\) | 211.836 | + | 329.623i | 0.213114 | + | 0.331612i | ||||
\(995\) | −605.180 | − | 1649.71i | −0.608221 | − | 1.65800i | ||||
\(996\) | −808.601 | − | 116.259i | −0.811848 | − | 0.116726i | ||||
\(997\) | −156.057 | − | 531.480i | −0.156526 | − | 0.533079i | 0.843465 | − | 0.537183i | \(-0.180512\pi\) |
−0.999992 | + | 0.00410437i | \(0.998694\pi\) | |||||||
\(998\) | −134.368 | + | 209.081i | −0.134637 | + | 0.209500i | ||||
\(999\) | −752.448 | + | 108.186i | −0.753201 | + | 0.108294i |
(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 | 230.3.i.a.109.23 | yes | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.109.2 | yes | 240 | |
23.19 | odd | 22 | inner | 230.3.i.a.19.2 | ✓ | 240 | |
115.19 | odd | 22 | inner | 230.3.i.a.19.23 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.2 | ✓ | 240 | 23.19 | odd | 22 | inner | |
230.3.i.a.19.23 | yes | 240 | 115.19 | odd | 22 | inner | |
230.3.i.a.109.2 | yes | 240 | 5.4 | even | 2 | inner | |
230.3.i.a.109.23 | yes | 240 | 1.1 | even | 1 | trivial |