Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(100,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.100");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bj (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 100.21 | ||
Character | \(\chi\) | \(=\) | 403.100 |
Dual form | 403.2.bj.a.133.21 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{14}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.241694 | + | 0.0513737i | 0.170904 | + | 0.0363267i | 0.292569 | − | 0.956245i | \(-0.405490\pi\) |
−0.121665 | + | 0.992571i | \(0.538823\pi\) | |||||||
\(3\) | 0.762457 | − | 2.34660i | 0.440205 | − | 1.35481i | −0.447453 | − | 0.894307i | \(-0.647669\pi\) |
0.887658 | − | 0.460504i | \(-0.152331\pi\) | |||||||
\(4\) | −1.77131 | − | 0.788640i | −0.885657 | − | 0.394320i | ||||
\(5\) | −1.68082 | + | 2.91126i | −0.751684 | + | 1.30195i | 0.195323 | + | 0.980739i | \(0.437425\pi\) |
−0.947006 | + | 0.321215i | \(0.895909\pi\) | |||||||
\(6\) | 0.304835 | − | 0.527989i | 0.124448 | − | 0.215551i | ||||
\(7\) | 0.00261706 | + | 0.0248997i | 0.000989156 | + | 0.00941119i | 0.995005 | − | 0.0998217i | \(-0.0318272\pi\) |
−0.994016 | + | 0.109233i | \(0.965161\pi\) | |||||||
\(8\) | −0.787407 | − | 0.572085i | −0.278390 | − | 0.202262i | ||||
\(9\) | −2.49815 | − | 1.81501i | −0.832715 | − | 0.605003i | ||||
\(10\) | −0.555805 | + | 0.617284i | −0.175761 | + | 0.195202i | ||||
\(11\) | −5.85195 | − | 2.60546i | −1.76443 | − | 0.785575i | −0.987822 | − | 0.155591i | \(-0.950272\pi\) |
−0.776608 | − | 0.629984i | \(-0.783062\pi\) | |||||||
\(12\) | −3.20117 | + | 3.55526i | −0.924099 | + | 1.02632i | ||||
\(13\) | −2.85539 | + | 2.20154i | −0.791942 | + | 0.610596i | ||||
\(14\) | −0.000646659 | 0.00615255i | −0.000172827 | 0.00164434i | ||||||
\(15\) | 5.55001 | + | 6.16391i | 1.43301 | + | 1.59152i | ||||
\(16\) | 2.43389 | + | 2.70311i | 0.608473 | + | 0.675778i | ||||
\(17\) | 2.24609 | − | 1.00003i | 0.544758 | − | 0.242542i | −0.115858 | − | 0.993266i | \(-0.536962\pi\) |
0.660616 | + | 0.750724i | \(0.270295\pi\) | |||||||
\(18\) | −0.510543 | − | 0.567016i | −0.120336 | − | 0.133647i | ||||
\(19\) | −4.67577 | − | 0.993865i | −1.07269 | − | 0.228008i | −0.362478 | − | 0.931992i | \(-0.618069\pi\) |
−0.710216 | + | 0.703984i | \(0.751403\pi\) | |||||||
\(20\) | 5.27319 | − | 3.83119i | 1.17912 | − | 0.856681i | ||||
\(21\) | 0.0604250 | + | 0.0128437i | 0.0131858 | + | 0.00280273i | ||||
\(22\) | −1.28053 | − | 0.930360i | −0.273010 | − | 0.198353i | ||||
\(23\) | −2.04411 | + | 0.910095i | −0.426226 | + | 0.189768i | −0.608627 | − | 0.793456i | \(-0.708280\pi\) |
0.182402 | + | 0.983224i | \(0.441613\pi\) | |||||||
\(24\) | −1.94282 | + | 1.41154i | −0.396576 | + | 0.288129i | ||||
\(25\) | −3.15028 | − | 5.45645i | −0.630057 | − | 1.09129i | ||||
\(26\) | −0.803231 | + | 0.385406i | −0.157527 | + | 0.0755844i | ||||
\(27\) | −0.175417 | + | 0.127448i | −0.0337590 | + | 0.0245274i | ||||
\(28\) | 0.0150012 | − | 0.0461691i | 0.00283497 | − | 0.00872513i | ||||
\(29\) | 7.08271 | + | 1.50548i | 1.31523 | + | 0.279560i | 0.811525 | − | 0.584318i | \(-0.198638\pi\) |
0.503701 | + | 0.863878i | \(0.331971\pi\) | |||||||
\(30\) | 1.02474 | + | 1.77491i | 0.187092 | + | 0.324052i | ||||
\(31\) | −0.730640 | − | 5.51962i | −0.131227 | − | 0.991352i | ||||
\(32\) | 1.42268 | + | 2.46415i | 0.251496 | + | 0.435604i | ||||
\(33\) | −10.5758 | + | 11.7456i | −1.84102 | + | 2.04465i | ||||
\(34\) | 0.594243 | − | 0.126310i | 0.101912 | − | 0.0216620i | ||||
\(35\) | −0.0768882 | − | 0.0342328i | −0.0129965 | − | 0.00578640i | ||||
\(36\) | 2.99361 | + | 5.18509i | 0.498935 | + | 0.864182i | ||||
\(37\) | −2.09796 | −0.344902 | −0.172451 | − | 0.985018i | \(-0.555169\pi\) | ||||
−0.172451 | + | 0.985018i | \(0.555169\pi\) | |||||||
\(38\) | −1.07905 | − | 0.480423i | −0.175044 | − | 0.0779348i | ||||
\(39\) | 2.98901 | + | 8.37903i | 0.478625 | + | 1.34172i | ||||
\(40\) | 2.98897 | − | 1.33078i | 0.472598 | − | 0.210414i | ||||
\(41\) | −5.02384 | + | 5.57954i | −0.784593 | + | 0.871378i | −0.994326 | − | 0.106380i | \(-0.966074\pi\) |
0.209733 | + | 0.977759i | \(0.432741\pi\) | |||||||
\(42\) | 0.0139445 | + | 0.00620851i | 0.00215169 | + | 0.000957994i | ||||
\(43\) | −10.3294 | − | 2.19558i | −1.57522 | − | 0.334822i | −0.664316 | − | 0.747452i | \(-0.731277\pi\) |
−0.910899 | + | 0.412629i | \(0.864610\pi\) | |||||||
\(44\) | 8.31088 | + | 9.23016i | 1.25291 | + | 1.39150i | ||||
\(45\) | 9.48288 | − | 4.22205i | 1.41362 | − | 0.629386i | ||||
\(46\) | −0.540804 | + | 0.114951i | −0.0797371 | + | 0.0169486i | ||||
\(47\) | 2.13004 | − | 6.55559i | 0.310698 | − | 0.956231i | −0.666791 | − | 0.745245i | \(-0.732332\pi\) |
0.977489 | − | 0.210986i | \(-0.0676675\pi\) | |||||||
\(48\) | 8.19886 | − | 3.65037i | 1.18340 | − | 0.526886i | ||||
\(49\) | 6.84642 | − | 1.45525i | 0.978060 | − | 0.207893i | ||||
\(50\) | −0.481087 | − | 1.48063i | −0.0680360 | − | 0.209393i | ||||
\(51\) | −0.634111 | − | 6.03316i | −0.0887933 | − | 0.844812i | ||||
\(52\) | 6.79401 | − | 1.64774i | 0.942159 | − | 0.228500i | ||||
\(53\) | −2.07532 | + | 0.923994i | −0.285068 | + | 0.126920i | −0.544289 | − | 0.838898i | \(-0.683201\pi\) |
0.259222 | + | 0.965818i | \(0.416534\pi\) | |||||||
\(54\) | −0.0489447 | + | 0.0217916i | −0.00666053 | + | 0.00296546i | ||||
\(55\) | 17.4212 | − | 12.6573i | 2.34908 | − | 1.70670i | ||||
\(56\) | 0.0121840 | − | 0.0211034i | 0.00162816 | − | 0.00282005i | ||||
\(57\) | −5.89728 | + | 10.2144i | −0.781113 | + | 1.35293i | ||||
\(58\) | 1.63451 | + | 0.727729i | 0.214621 | + | 0.0955556i | ||||
\(59\) | 0.950463 | + | 1.05560i | 0.123740 | + | 0.137427i | 0.801831 | − | 0.597551i | \(-0.203859\pi\) |
−0.678091 | + | 0.734978i | \(0.737193\pi\) | |||||||
\(60\) | −4.96971 | − | 15.2952i | −0.641587 | − | 1.97460i | ||||
\(61\) | −3.57943 | − | 6.19976i | −0.458300 | − | 0.793798i | 0.540572 | − | 0.841298i | \(-0.318208\pi\) |
−0.998871 | + | 0.0474999i | \(0.984875\pi\) | |||||||
\(62\) | 0.106972 | − | 1.37159i | 0.0135854 | − | 0.174193i | ||||
\(63\) | 0.0386553 | − | 0.0669530i | 0.00487012 | − | 0.00843529i | ||||
\(64\) | −2.03077 | − | 6.25008i | −0.253847 | − | 0.781260i | ||||
\(65\) | −1.60986 | − | 12.0131i | −0.199678 | − | 1.49005i | ||||
\(66\) | −3.15953 | + | 2.29553i | −0.388912 | + | 0.282561i | ||||
\(67\) | −7.08169 | − | 12.2658i | −0.865166 | − | 1.49851i | −0.866882 | − | 0.498513i | \(-0.833879\pi\) |
0.00171577 | − | 0.999999i | \(-0.499454\pi\) | |||||||
\(68\) | −4.76720 | −0.578108 | ||||||||
\(69\) | 0.577087 | + | 5.49061i | 0.0694731 | + | 0.660992i | ||||
\(70\) | −0.0168248 | − | 0.0122239i | −0.00201094 | − | 0.00146104i | ||||
\(71\) | 0.471987 | + | 0.342919i | 0.0560146 | + | 0.0406970i | 0.615440 | − | 0.788184i | \(-0.288978\pi\) |
−0.559426 | + | 0.828881i | \(0.688978\pi\) | |||||||
\(72\) | 0.928718 | + | 2.85830i | 0.109451 | + | 0.336854i | ||||
\(73\) | 0.912343 | + | 8.68036i | 0.106782 | + | 1.01596i | 0.908394 | + | 0.418115i | \(0.137309\pi\) |
−0.801612 | + | 0.597844i | \(0.796024\pi\) | |||||||
\(74\) | −0.507064 | − | 0.107780i | −0.0589449 | − | 0.0125291i | ||||
\(75\) | −15.2061 | + | 3.23215i | −1.75585 | + | 0.373217i | ||||
\(76\) | 7.49845 | + | 5.44794i | 0.860131 | + | 0.624922i | ||||
\(77\) | 0.0495601 | − | 0.152530i | 0.00564790 | − | 0.0173824i | ||||
\(78\) | 0.291965 | + | 2.17872i | 0.0330586 | + | 0.246691i | ||||
\(79\) | 0.761016 | − | 7.24058i | 0.0856210 | − | 0.814629i | −0.864476 | − | 0.502674i | \(-0.832350\pi\) |
0.950097 | − | 0.311955i | \(-0.100984\pi\) | |||||||
\(80\) | −11.9604 | + | 2.54226i | −1.33721 | + | 0.284233i | ||||
\(81\) | −2.69730 | − | 8.30143i | −0.299700 | − | 0.922381i | ||||
\(82\) | −1.50088 | + | 1.09045i | −0.165744 | + | 0.120420i | ||||
\(83\) | 4.01504 | + | 0.853422i | 0.440708 | + | 0.0936753i | 0.422921 | − | 0.906167i | \(-0.361005\pi\) |
0.0177865 | + | 0.999842i | \(0.494338\pi\) | |||||||
\(84\) | −0.0969026 | − | 0.0704039i | −0.0105729 | − | 0.00768169i | ||||
\(85\) | −0.863938 | + | 8.21982i | −0.0937072 | + | 0.891565i | ||||
\(86\) | −2.38375 | − | 1.06132i | −0.257047 | − | 0.114445i | ||||
\(87\) | 8.93301 | − | 15.4724i | 0.957720 | − | 1.65882i | ||||
\(88\) | 3.11733 | + | 5.39937i | 0.332308 | + | 0.575574i | ||||
\(89\) | 1.66027 | + | 15.7964i | 0.175988 | + | 1.67441i | 0.624798 | + | 0.780787i | \(0.285181\pi\) |
−0.448810 | + | 0.893627i | \(0.648152\pi\) | |||||||
\(90\) | 2.50886 | − | 0.533274i | 0.264457 | − | 0.0562121i | ||||
\(91\) | −0.0622902 | − | 0.0653367i | −0.00652979 | − | 0.00684915i | ||||
\(92\) | 4.33849 | 0.452319 | ||||||||
\(93\) | −13.5094 | − | 2.49395i | −1.40086 | − | 0.258611i | ||||
\(94\) | 0.851603 | − | 1.47502i | 0.0878361 | − | 0.152137i | ||||
\(95\) | 10.7525 | − | 11.9419i | 1.10318 | − | 1.22521i | ||||
\(96\) | 6.86711 | − | 1.45965i | 0.700871 | − | 0.148975i | ||||
\(97\) | −4.93464 | − | 2.19704i | −0.501037 | − | 0.223076i | 0.140626 | − | 0.990063i | \(-0.455088\pi\) |
−0.641663 | + | 0.766987i | \(0.721755\pi\) | |||||||
\(98\) | 1.72950 | 0.174706 | ||||||||
\(99\) | 9.89010 | + | 17.1302i | 0.993993 | + | 1.72165i | ||||
\(100\) | 1.27697 | + | 12.1495i | 0.127697 | + | 1.21495i | ||||
\(101\) | 3.01907 | − | 1.34418i | 0.300409 | − | 0.133751i | −0.250997 | − | 0.967988i | \(-0.580758\pi\) |
0.551406 | + | 0.834237i | \(0.314092\pi\) | |||||||
\(102\) | 0.156685 | − | 1.49076i | 0.0155141 | − | 0.147607i | ||||
\(103\) | −4.58950 | − | 0.975528i | −0.452217 | − | 0.0961216i | −0.0238277 | − | 0.999716i | \(-0.507585\pi\) |
−0.428389 | + | 0.903594i | \(0.640919\pi\) | |||||||
\(104\) | 3.50782 | − | 0.0999801i | 0.343970 | − | 0.00980386i | ||||
\(105\) | −0.138955 | + | 0.154325i | −0.0135606 | + | 0.0150606i | ||||
\(106\) | −0.549062 | + | 0.116707i | −0.0533297 | + | 0.0113356i | ||||
\(107\) | 2.93092 | + | 2.12944i | 0.283343 | + | 0.205860i | 0.720374 | − | 0.693586i | \(-0.243970\pi\) |
−0.437031 | + | 0.899446i | \(0.643970\pi\) | |||||||
\(108\) | 0.411229 | − | 0.0874095i | 0.0395705 | − | 0.00841098i | ||||
\(109\) | 4.45893 | − | 13.7232i | 0.427088 | − | 1.31444i | −0.473892 | − | 0.880583i | \(-0.657151\pi\) |
0.900980 | − | 0.433860i | \(-0.142849\pi\) | |||||||
\(110\) | 4.86085 | − | 2.16419i | 0.463464 | − | 0.206348i | ||||
\(111\) | −1.59960 | + | 4.92307i | −0.151827 | + | 0.467277i | ||||
\(112\) | −0.0609370 | + | 0.0676774i | −0.00575800 | + | 0.00639491i | ||||
\(113\) | 3.48775 | − | 2.53400i | 0.328100 | − | 0.238379i | −0.411524 | − | 0.911399i | \(-0.635003\pi\) |
0.739624 | + | 0.673020i | \(0.235003\pi\) | |||||||
\(114\) | −1.95009 | + | 2.16579i | −0.182642 | + | 0.202845i | ||||
\(115\) | 0.786245 | − | 7.48063i | 0.0733178 | − | 0.697572i | ||||
\(116\) | −11.3584 | − | 8.25238i | −1.05460 | − | 0.766214i | ||||
\(117\) | 11.1290 | − | 0.317199i | 1.02887 | − | 0.0293251i | ||||
\(118\) | 0.175491 | + | 0.303960i | 0.0161553 | + | 0.0279818i | ||||
\(119\) | 0.0307785 | + | 0.0533099i | 0.00282146 | + | 0.00488691i | ||||
\(120\) | −0.843838 | − | 8.02858i | −0.0770315 | − | 0.732906i | ||||
\(121\) | 20.0965 | + | 22.3194i | 1.82695 | + | 2.02904i | ||||
\(122\) | −0.546624 | − | 1.68233i | −0.0494890 | − | 0.152311i | ||||
\(123\) | 9.26250 | + | 16.0431i | 0.835172 | + | 1.44656i | ||||
\(124\) | −3.05880 | + | 10.3532i | −0.274688 | + | 0.929744i | ||||
\(125\) | 4.37202 | 0.391046 | ||||||||
\(126\) | 0.0127824 | − | 0.0141963i | 0.00113875 | − | 0.00126471i | ||||
\(127\) | −3.59938 | + | 11.0777i | −0.319393 | + | 0.982991i | 0.654515 | + | 0.756049i | \(0.272873\pi\) |
−0.973908 | + | 0.226942i | \(0.927127\pi\) | |||||||
\(128\) | −0.764578 | − | 7.27447i | −0.0675798 | − | 0.642978i | ||||
\(129\) | −13.0278 | + | 22.5649i | −1.14704 | + | 1.98673i | ||||
\(130\) | 0.228067 | − | 2.98621i | 0.0200028 | − | 0.261908i | ||||
\(131\) | 4.13725 | + | 1.84202i | 0.361473 | + | 0.160938i | 0.579434 | − | 0.815019i | \(-0.303274\pi\) |
−0.217961 | + | 0.975958i | \(0.569940\pi\) | |||||||
\(132\) | 27.9962 | − | 12.4647i | 2.43676 | − | 1.08491i | ||||
\(133\) | 0.0125101 | − | 0.119026i | 0.00108477 | − | 0.0103209i | ||||
\(134\) | −1.08146 | − | 3.32840i | −0.0934240 | − | 0.287530i | ||||
\(135\) | −0.0761901 | − | 0.724901i | −0.00655740 | − | 0.0623895i | ||||
\(136\) | −2.34069 | − | 0.497529i | −0.200712 | − | 0.0426627i | ||||
\(137\) | −3.13886 | + | 9.66043i | −0.268171 | + | 0.825346i | 0.722775 | + | 0.691084i | \(0.242866\pi\) |
−0.990946 | + | 0.134262i | \(0.957134\pi\) | |||||||
\(138\) | −0.142594 | + | 1.35670i | −0.0121384 | + | 0.115490i | ||||
\(139\) | −15.1221 | + | 3.21429i | −1.28264 | + | 0.272633i | −0.798306 | − | 0.602252i | \(-0.794270\pi\) |
−0.484331 | + | 0.874885i | \(0.660937\pi\) | |||||||
\(140\) | 0.109196 | + | 0.121274i | 0.00922873 | + | 0.0102495i | ||||
\(141\) | −13.7593 | − | 9.99671i | −1.15874 | − | 0.841875i | ||||
\(142\) | 0.0964596 | + | 0.107129i | 0.00809471 | + | 0.00899008i | ||||
\(143\) | 22.4456 | − | 5.44369i | 1.87700 | − | 0.455224i | ||||
\(144\) | −1.17405 | − | 11.1703i | −0.0978372 | − | 0.930859i | ||||
\(145\) | −16.2876 | + | 18.0892i | −1.35261 | + | 1.50222i | ||||
\(146\) | −0.225434 | + | 2.14486i | −0.0186571 | + | 0.177510i | ||||
\(147\) | 1.80521 | − | 17.1754i | 0.148891 | − | 1.41660i | ||||
\(148\) | 3.71614 | + | 1.65453i | 0.305465 | + | 0.136002i | ||||
\(149\) | −1.31880 | + | 2.28423i | −0.108040 | + | 0.187131i | −0.914976 | − | 0.403508i | \(-0.867791\pi\) |
0.806936 | + | 0.590639i | \(0.201124\pi\) | |||||||
\(150\) | −3.84126 | −0.313638 | ||||||||
\(151\) | −14.5051 | + | 10.5386i | −1.18041 | + | 0.857618i | −0.992218 | − | 0.124514i | \(-0.960263\pi\) |
−0.188193 | + | 0.982132i | \(0.560263\pi\) | |||||||
\(152\) | 3.11316 | + | 3.45751i | 0.252510 | + | 0.280441i | ||||
\(153\) | −7.42613 | − | 1.57847i | −0.600367 | − | 0.127612i | ||||
\(154\) | 0.0198144 | − | 0.0343196i | 0.00159669 | − | 0.00276555i | ||||
\(155\) | 17.2971 | + | 7.15038i | 1.38934 | + | 0.574332i | ||||
\(156\) | 1.31356 | − | 17.1992i | 0.105169 | − | 1.37703i | ||||
\(157\) | 2.10227 | + | 6.47012i | 0.167779 | + | 0.516372i | 0.999230 | − | 0.0392263i | \(-0.0124893\pi\) |
−0.831451 | + | 0.555598i | \(0.812489\pi\) | |||||||
\(158\) | 0.555908 | − | 1.71091i | 0.0442257 | − | 0.136113i | ||||
\(159\) | 0.585900 | + | 5.57446i | 0.0464649 | + | 0.442084i | ||||
\(160\) | −9.56503 | −0.756182 | ||||||||
\(161\) | −0.0280106 | − | 0.0485158i | −0.00220755 | − | 0.00382358i | ||||
\(162\) | −0.225446 | − | 2.14498i | −0.0177127 | − | 0.168525i | ||||
\(163\) | 1.34429 | − | 12.7901i | 0.105293 | − | 1.00180i | −0.806525 | − | 0.591201i | \(-0.798654\pi\) |
0.911818 | − | 0.410596i | \(-0.134679\pi\) | |||||||
\(164\) | 13.2991 | − | 5.92112i | 1.03848 | − | 0.462362i | ||||
\(165\) | −16.4186 | − | 50.5312i | −1.27819 | − | 3.93385i | ||||
\(166\) | 0.926567 | + | 0.412534i | 0.0719156 | + | 0.0320189i | ||||
\(167\) | 6.22779 | + | 19.1672i | 0.481921 | + | 1.48320i | 0.836392 | + | 0.548132i | \(0.184661\pi\) |
−0.354471 | + | 0.935067i | \(0.615339\pi\) | |||||||
\(168\) | −0.0402314 | − | 0.0446815i | −0.00310392 | − | 0.00344725i | ||||
\(169\) | 3.30649 | − | 12.5725i | 0.254345 | − | 0.967114i | ||||
\(170\) | −0.631091 | + | 1.94230i | −0.0484025 | + | 0.148967i | ||||
\(171\) | 9.87687 | + | 10.9694i | 0.755303 | + | 0.838849i | ||||
\(172\) | 16.5651 | + | 12.0352i | 1.26307 | + | 0.917677i | ||||
\(173\) | 1.21949 | − | 3.75321i | 0.0927161 | − | 0.285351i | −0.893936 | − | 0.448195i | \(-0.852067\pi\) |
0.986652 | + | 0.162844i | \(0.0520669\pi\) | |||||||
\(174\) | 2.95393 | − | 3.28067i | 0.223937 | − | 0.248707i | ||||
\(175\) | 0.127619 | − | 0.0927209i | 0.00964712 | − | 0.00700904i | ||||
\(176\) | −7.20018 | − | 22.1599i | −0.542734 | − | 1.67036i | ||||
\(177\) | 3.20175 | − | 1.42551i | 0.240658 | − | 0.107148i | ||||
\(178\) | −0.410242 | + | 3.90319i | −0.0307489 | + | 0.292556i | ||||
\(179\) | −18.9932 | + | 13.7993i | −1.41962 | + | 1.03141i | −0.427781 | + | 0.903883i | \(0.640704\pi\) |
−0.991835 | + | 0.127528i | \(0.959296\pi\) | |||||||
\(180\) | −20.1268 | −1.50017 | ||||||||
\(181\) | −3.09950 | + | 5.36850i | −0.230384 | + | 0.399037i | −0.957921 | − | 0.287031i | \(-0.907332\pi\) |
0.727537 | + | 0.686068i | \(0.240665\pi\) | |||||||
\(182\) | −0.0116986 | − | 0.0189916i | −0.000867158 | − | 0.00140775i | ||||
\(183\) | −17.2775 | + | 3.67245i | −1.27719 | + | 0.271476i | ||||
\(184\) | 2.13020 | + | 0.452787i | 0.157040 | + | 0.0333799i | ||||
\(185\) | 3.52628 | − | 6.10769i | 0.259257 | − | 0.449046i | ||||
\(186\) | −3.13702 | − | 1.29680i | −0.230018 | − | 0.0950861i | ||||
\(187\) | −15.7496 | −1.15172 | ||||||||
\(188\) | −8.94297 | + | 9.93218i | −0.652233 | + | 0.724378i | ||||
\(189\) | −0.00363249 | − | 0.00403429i | −0.000264225 | − | 0.000293451i | ||||
\(190\) | 3.21231 | − | 2.33388i | 0.233046 | − | 0.169318i | ||||
\(191\) | 10.0679 | 0.728487 | 0.364244 | − | 0.931304i | \(-0.381328\pi\) | ||||
0.364244 | + | 0.931304i | \(0.381328\pi\) | |||||||
\(192\) | −16.2148 | −1.17020 | ||||||||
\(193\) | −4.42514 | + | 3.21506i | −0.318529 | + | 0.231425i | −0.735547 | − | 0.677473i | \(-0.763075\pi\) |
0.417019 | + | 0.908898i | \(0.363075\pi\) | |||||||
\(194\) | −1.07980 | − | 0.784522i | −0.0775253 | − | 0.0563254i | ||||
\(195\) | −29.4175 | − | 5.38182i | −2.10663 | − | 0.385400i | ||||
\(196\) | −13.2748 | − | 2.82165i | −0.948202 | − | 0.201547i | ||||
\(197\) | 2.97448 | + | 1.32433i | 0.211923 | + | 0.0943543i | 0.509953 | − | 0.860202i | \(-0.329663\pi\) |
−0.298030 | + | 0.954557i | \(0.596329\pi\) | |||||||
\(198\) | 1.51034 | + | 4.64835i | 0.107335 | + | 0.330344i | ||||
\(199\) | −3.25070 | + | 10.0046i | −0.230436 | + | 0.709210i | 0.767258 | + | 0.641339i | \(0.221621\pi\) |
−0.997694 | + | 0.0678711i | \(0.978379\pi\) | |||||||
\(200\) | −0.640997 | + | 6.09867i | −0.0453253 | + | 0.431241i | ||||
\(201\) | −34.1825 | + | 7.26572i | −2.41105 | + | 0.512485i | ||||
\(202\) | 0.798748 | − | 0.169779i | 0.0561997 | − | 0.0119456i | ||||
\(203\) | −0.0189500 | + | 0.180297i | −0.00133003 | + | 0.0126544i | ||||
\(204\) | −3.63478 | + | 11.1867i | −0.254486 | + | 0.783227i | ||||
\(205\) | −7.79934 | − | 24.0039i | −0.544729 | − | 1.67650i | ||||
\(206\) | −1.05914 | − | 0.471559i | −0.0737936 | − | 0.0328550i | ||||
\(207\) | 6.75831 | + | 1.43652i | 0.469735 | + | 0.0998452i | ||||
\(208\) | −12.9007 | − | 2.36013i | −0.894503 | − | 0.163646i | ||||
\(209\) | 24.7729 | + | 17.9986i | 1.71358 | + | 1.24499i | ||||
\(210\) | −0.0415128 | + | 0.0301608i | −0.00286465 | + | 0.00208129i | ||||
\(211\) | −10.0257 | −0.690201 | −0.345100 | − | 0.938566i | \(-0.612155\pi\) | ||||
−0.345100 | + | 0.938566i | \(0.612155\pi\) | |||||||
\(212\) | 4.40475 | 0.302519 | ||||||||
\(213\) | 1.16456 | − | 0.846105i | 0.0797946 | − | 0.0579742i | ||||
\(214\) | 0.598989 | + | 0.665245i | 0.0409460 | + | 0.0454752i | ||||
\(215\) | 23.7537 | − | 26.3811i | 1.61999 | − | 1.79918i | ||||
\(216\) | 0.211036 | 0.0143592 | ||||||||
\(217\) | 0.135525 | − | 0.0326379i | 0.00920000 | − | 0.00221560i | ||||
\(218\) | 1.78271 | − | 3.08774i | 0.120740 | − | 0.209128i | ||||
\(219\) | 21.0650 | + | 4.47750i | 1.42344 | + | 0.302561i | ||||
\(220\) | −40.8404 | + | 8.68091i | −2.75346 | + | 0.585267i | ||||
\(221\) | −4.21188 | + | 7.80032i | −0.283322 | + | 0.524706i | ||||
\(222\) | −0.639530 | + | 1.10770i | −0.0429224 | + | 0.0743439i | ||||
\(223\) | 10.6331 | 0.712042 | 0.356021 | − | 0.934478i | \(-0.384133\pi\) | ||||
0.356021 | + | 0.934478i | \(0.384133\pi\) | |||||||
\(224\) | −0.0576333 | + | 0.0418730i | −0.00385079 | + | 0.00279776i | ||||
\(225\) | −2.03364 | + | 19.3488i | −0.135576 | + | 1.28992i | ||||
\(226\) | 0.973150 | − | 0.433274i | 0.0647330 | − | 0.0288210i | ||||
\(227\) | −4.28851 | − | 13.1987i | −0.284639 | − | 0.876027i | −0.986507 | − | 0.163721i | \(-0.947650\pi\) |
0.701868 | − | 0.712307i | \(-0.252350\pi\) | |||||||
\(228\) | 18.5014 | − | 13.4421i | 1.22528 | − | 0.890222i | ||||
\(229\) | 15.1070 | − | 16.7781i | 0.998301 | − | 1.10873i | 0.00422975 | − | 0.999991i | \(-0.498654\pi\) |
0.994071 | − | 0.108734i | \(-0.0346797\pi\) | |||||||
\(230\) | 0.574338 | − | 1.76763i | 0.0378707 | − | 0.116554i | ||||
\(231\) | −0.320140 | − | 0.232596i | −0.0210637 | − | 0.0153037i | ||||
\(232\) | −4.71571 | − | 5.23733i | −0.309602 | − | 0.343848i | ||||
\(233\) | 1.26214 | − | 3.88446i | 0.0826853 | − | 0.254479i | −0.901164 | − | 0.433479i | \(-0.857286\pi\) |
0.983849 | + | 0.178999i | \(0.0572860\pi\) | |||||||
\(234\) | 2.70611 | + | 0.495071i | 0.176904 | + | 0.0323638i | ||||
\(235\) | 15.5048 | + | 17.2198i | 1.01142 | + | 1.12330i | ||||
\(236\) | −0.851084 | − | 2.61937i | −0.0554008 | − | 0.170506i | ||||
\(237\) | −16.4105 | − | 7.30643i | −1.06598 | − | 0.474604i | ||||
\(238\) | 0.00470025 | + | 0.0144659i | 0.000304672 | + | 0.000937684i | ||||
\(239\) | −5.48488 | + | 2.44203i | −0.354787 | + | 0.157962i | −0.576388 | − | 0.817176i | \(-0.695538\pi\) |
0.221601 | + | 0.975137i | \(0.428872\pi\) | |||||||
\(240\) | −3.15361 | + | 30.0046i | −0.203565 | + | 1.93679i | ||||
\(241\) | −1.38932 | − | 13.2185i | −0.0894942 | − | 0.851480i | −0.943535 | − | 0.331274i | \(-0.892522\pi\) |
0.854041 | − | 0.520206i | \(-0.174145\pi\) | |||||||
\(242\) | 3.71057 | + | 6.42690i | 0.238525 | + | 0.413137i | ||||
\(243\) | −22.1872 | −1.42331 | ||||||||
\(244\) | 1.45092 | + | 13.8046i | 0.0928858 | + | 0.883749i | ||||
\(245\) | −7.27096 | + | 22.3777i | −0.464524 | + | 1.42966i | ||||
\(246\) | 1.41450 | + | 4.35338i | 0.0901851 | + | 0.277561i | ||||
\(247\) | 15.5392 | − | 7.45599i | 0.988733 | − | 0.474414i | ||||
\(248\) | −2.58238 | + | 4.76417i | −0.163981 | + | 0.302525i | ||||
\(249\) | 5.06393 | − | 8.77099i | 0.320914 | − | 0.555839i | ||||
\(250\) | 1.05669 | + | 0.224607i | 0.0668311 | + | 0.0142054i | ||||
\(251\) | 1.91039 | + | 2.12170i | 0.120583 | + | 0.133921i | 0.800413 | − | 0.599448i | \(-0.204613\pi\) |
−0.679831 | + | 0.733369i | \(0.737947\pi\) | |||||||
\(252\) | −0.121273 | + | 0.0881097i | −0.00763945 | + | 0.00555039i | ||||
\(253\) | 14.3332 | 0.901122 | ||||||||
\(254\) | −1.43905 | + | 2.49251i | −0.0902942 | + | 0.156394i | ||||
\(255\) | 18.6299 | + | 8.29458i | 1.16665 | + | 0.519427i | ||||
\(256\) | −1.18494 | + | 11.2740i | −0.0740589 | + | 0.704623i | ||||
\(257\) | 2.05822 | − | 19.5827i | 0.128388 | − | 1.22153i | −0.720687 | − | 0.693261i | \(-0.756173\pi\) |
0.849075 | − | 0.528272i | \(-0.177160\pi\) | |||||||
\(258\) | −4.30800 | + | 4.78451i | −0.268204 | + | 0.297871i | ||||
\(259\) | −0.00549048 | − | 0.0522384i | −0.000341162 | − | 0.00324594i | ||||
\(260\) | −6.62249 | + | 22.5487i | −0.410709 | + | 1.39841i | ||||
\(261\) | −14.9612 | − | 16.6161i | −0.926074 | − | 1.02851i | ||||
\(262\) | 0.905318 | + | 0.657752i | 0.0559307 | + | 0.0406360i | ||||
\(263\) | −14.6321 | − | 16.2506i | −0.902252 | − | 1.00205i | −0.999977 | − | 0.00683871i | \(-0.997823\pi\) |
0.0977248 | − | 0.995213i | \(-0.468844\pi\) | |||||||
\(264\) | 15.0470 | − | 3.19834i | 0.926078 | − | 0.196844i | ||||
\(265\) | 0.798253 | − | 7.59487i | 0.0490363 | − | 0.466549i | ||||
\(266\) | 0.00913843 | − | 0.0281252i | 0.000560313 | − | 0.00172447i | ||||
\(267\) | 38.3337 | + | 8.14808i | 2.34599 | + | 0.498655i | ||||
\(268\) | 2.87056 | + | 27.3116i | 0.175347 | + | 1.66832i | ||||
\(269\) | −0.275855 | − | 0.848996i | −0.0168192 | − | 0.0517642i | 0.942295 | − | 0.334785i | \(-0.108664\pi\) |
−0.959114 | + | 0.283020i | \(0.908664\pi\) | |||||||
\(270\) | 0.0188261 | − | 0.179118i | 0.00114572 | − | 0.0109008i | ||||
\(271\) | 10.7084 | − | 4.76767i | 0.650487 | − | 0.289616i | −0.0548424 | − | 0.998495i | \(-0.517466\pi\) |
0.705330 | + | 0.708879i | \(0.250799\pi\) | |||||||
\(272\) | 8.16993 | + | 3.63749i | 0.495375 | + | 0.220555i | ||||
\(273\) | −0.200813 | + | 0.0963539i | −0.0121537 | + | 0.00583160i | ||||
\(274\) | −1.25494 | + | 2.17361i | −0.0758135 | + | 0.131313i | ||||
\(275\) | 4.21876 | + | 40.1388i | 0.254401 | + | 2.42046i | ||||
\(276\) | 3.30791 | − | 10.1807i | 0.199113 | − | 0.612807i | ||||
\(277\) | −10.8794 | + | 12.0828i | −0.653678 | + | 0.725983i | −0.975300 | − | 0.220885i | \(-0.929105\pi\) |
0.321622 | + | 0.946868i | \(0.395772\pi\) | |||||||
\(278\) | −3.82004 | −0.229111 | ||||||||
\(279\) | −8.19291 | + | 15.1149i | −0.490497 | + | 0.904907i | ||||
\(280\) | 0.0409582 | + | 0.0709417i | 0.00244772 | + | 0.00423958i | ||||
\(281\) | −8.30765 | − | 25.5683i | −0.495593 | − | 1.52528i | −0.816030 | − | 0.578009i | \(-0.803830\pi\) |
0.320437 | − | 0.947270i | \(-0.396170\pi\) | |||||||
\(282\) | −2.81197 | − | 3.12301i | −0.167451 | − | 0.185973i | ||||
\(283\) | −0.309119 | − | 2.94107i | −0.0183752 | − | 0.174828i | 0.981485 | − | 0.191538i | \(-0.0613475\pi\) |
−0.999860 | + | 0.0167098i | \(0.994681\pi\) | |||||||
\(284\) | −0.565598 | − | 0.979645i | −0.0335621 | − | 0.0581313i | ||||
\(285\) | −19.8245 | − | 34.3370i | −1.17430 | − | 2.03395i | ||||
\(286\) | 5.70463 | − | 0.162594i | 0.337322 | − | 0.00961438i | ||||
\(287\) | −0.152077 | − | 0.110490i | −0.00897679 | − | 0.00652202i | ||||
\(288\) | 0.918398 | − | 8.73798i | 0.0541171 | − | 0.514890i | ||||
\(289\) | −7.33033 | + | 8.14116i | −0.431196 | + | 0.478892i | ||||
\(290\) | −4.86591 | + | 3.53529i | −0.285736 | + | 0.207600i | ||||
\(291\) | −8.91803 | + | 9.90448i | −0.522784 | + | 0.580611i | ||||
\(292\) | 5.22964 | − | 16.0952i | 0.306041 | − | 0.941898i | ||||
\(293\) | 2.43944 | − | 1.08611i | 0.142514 | − | 0.0634511i | −0.334241 | − | 0.942488i | \(-0.608480\pi\) |
0.476754 | + | 0.879037i | \(0.341813\pi\) | |||||||
\(294\) | 1.31867 | − | 4.05845i | 0.0769064 | − | 0.236694i | ||||
\(295\) | −4.67067 | + | 0.992781i | −0.271937 | + | 0.0578019i | ||||
\(296\) | 1.65194 | + | 1.20021i | 0.0960173 | + | 0.0697607i | ||||
\(297\) | 1.35859 | − | 0.288778i | 0.0788335 | − | 0.0167566i | ||||
\(298\) | −0.436095 | + | 0.484332i | −0.0252623 | + | 0.0280566i | ||||
\(299\) | 3.83311 | − | 7.09885i | 0.221675 | − | 0.410537i | ||||
\(300\) | 29.4837 | + | 6.26696i | 1.70224 | + | 0.361823i | ||||
\(301\) | 0.0276365 | − | 0.262944i | 0.00159294 | − | 0.0151558i | ||||
\(302\) | −4.04721 | + | 1.80193i | −0.232891 | + | 0.103690i | ||||
\(303\) | −0.852337 | − | 8.10944i | −0.0489655 | − | 0.465875i | ||||
\(304\) | −8.69379 | − | 15.0581i | −0.498623 | − | 0.863640i | ||||
\(305\) | 24.0655 | 1.37799 | ||||||||
\(306\) | −1.71376 | − | 0.763015i | −0.0979691 | − | 0.0436187i | ||||
\(307\) | 11.7756 | − | 2.50298i | 0.672068 | − | 0.142852i | 0.140776 | − | 0.990041i | \(-0.455040\pi\) |
0.531291 | + | 0.847189i | \(0.321707\pi\) | |||||||
\(308\) | −0.208078 | + | 0.231094i | −0.0118563 | + | 0.0131678i | ||||
\(309\) | −5.78847 | + | 10.0259i | −0.329294 | + | 0.570355i | ||||
\(310\) | 3.81327 | + | 2.61682i | 0.216579 | + | 0.148625i | ||||
\(311\) | −19.2105 | −1.08933 | −0.544665 | − | 0.838654i | \(-0.683343\pi\) | ||||
−0.544665 | + | 0.838654i | \(0.683343\pi\) | |||||||
\(312\) | 2.43995 | − | 8.30768i | 0.138135 | − | 0.470330i | ||||
\(313\) | 19.2375 | − | 4.08905i | 1.08737 | − | 0.231127i | 0.370846 | − | 0.928694i | \(-0.379068\pi\) |
0.716519 | + | 0.697568i | \(0.245734\pi\) | |||||||
\(314\) | 0.175712 | + | 1.67179i | 0.00991602 | + | 0.0943446i | ||||
\(315\) | 0.129945 | + | 0.225071i | 0.00732157 | + | 0.0126813i | ||||
\(316\) | −7.05821 | + | 12.2252i | −0.397055 | + | 0.687720i | ||||
\(317\) | 21.0566 | + | 9.37501i | 1.18266 | + | 0.526553i | 0.901361 | − | 0.433068i | \(-0.142569\pi\) |
0.281296 | + | 0.959621i | \(0.409236\pi\) | |||||||
\(318\) | −0.144772 | + | 1.37741i | −0.00811842 | + | 0.0772416i | ||||
\(319\) | −37.5252 | − | 27.2637i | −2.10101 | − | 1.52647i | ||||
\(320\) | 21.6090 | + | 4.59313i | 1.20798 | + | 0.256763i | ||||
\(321\) | 7.23164 | − | 5.25409i | 0.403631 | − | 0.293255i | ||||
\(322\) | −0.00427757 | − | 0.0131650i | −0.000238379 | − | 0.000733657i | ||||
\(323\) | −11.4961 | + | 2.44357i | −0.639660 | + | 0.135964i | ||||
\(324\) | −1.76908 | + | 16.8316i | −0.0982821 | + | 0.935091i | ||||
\(325\) | 21.0078 | + | 8.64483i | 1.16531 | + | 0.479529i | ||||
\(326\) | 0.981980 | − | 3.02222i | 0.0543869 | − | 0.167386i | ||||
\(327\) | −28.8031 | − | 20.9267i | −1.59281 | − | 1.15725i | ||||
\(328\) | 7.14778 | − | 1.51931i | 0.394670 | − | 0.0838897i | ||||
\(329\) | 0.168807 | + | 0.0358809i | 0.00930661 | + | 0.00197818i | ||||
\(330\) | −1.37230 | − | 13.0566i | −0.0755428 | − | 0.718741i | ||||
\(331\) | −0.185633 | − | 0.571320i | −0.0102033 | − | 0.0314026i | 0.945825 | − | 0.324676i | \(-0.105255\pi\) |
−0.956029 | + | 0.293274i | \(0.905255\pi\) | |||||||
\(332\) | −6.43885 | − | 4.67810i | −0.353378 | − | 0.256744i | ||||
\(333\) | 5.24100 | + | 3.80781i | 0.287205 | + | 0.208667i | ||||
\(334\) | 0.520532 | + | 4.95253i | 0.0284823 | + | 0.270991i | ||||
\(335\) | 47.6121 | 2.60133 | ||||||||
\(336\) | 0.112350 | + | 0.194596i | 0.00612919 | + | 0.0106161i | ||||
\(337\) | 6.74404 | − | 4.89984i | 0.367372 | − | 0.266911i | −0.388749 | − | 0.921344i | \(-0.627093\pi\) |
0.756120 | + | 0.654433i | \(0.227093\pi\) | |||||||
\(338\) | 1.44505 | − | 2.86883i | 0.0786005 | − | 0.156044i | ||||
\(339\) | −3.28703 | − | 10.1164i | −0.178527 | − | 0.549449i | ||||
\(340\) | 8.01278 | − | 13.8785i | 0.434554 | − | 0.752670i | ||||
\(341\) | −10.1055 | + | 34.2042i | −0.547241 | + | 1.85226i | ||||
\(342\) | 1.82364 | + | 3.15865i | 0.0986114 | + | 0.170800i | ||||
\(343\) | 0.108310 | + | 0.333345i | 0.00584821 | + | 0.0179990i | ||||
\(344\) | 6.87737 | + | 7.63809i | 0.370803 | + | 0.411818i | ||||
\(345\) | −16.9546 | − | 7.54866i | −0.912803 | − | 0.406406i | ||||
\(346\) | 0.487560 | − | 0.844478i | 0.0262114 | − | 0.0453994i | ||||
\(347\) | −4.37582 | + | 7.57915i | −0.234906 | + | 0.406870i | −0.959245 | − | 0.282574i | \(-0.908812\pi\) |
0.724339 | + | 0.689444i | \(0.242145\pi\) | |||||||
\(348\) | −28.0254 | + | 20.3616i | −1.50232 | + | 1.09150i | ||||
\(349\) | −15.9163 | + | 7.08638i | −0.851979 | + | 0.379325i | −0.785799 | − | 0.618482i | \(-0.787748\pi\) |
−0.0661801 | + | 0.997808i | \(0.521081\pi\) | |||||||
\(350\) | 0.0356083 | − | 0.0158538i | 0.00190334 | − | 0.000847422i | ||||
\(351\) | 0.220303 | − | 0.750100i | 0.0117589 | − | 0.0400374i | ||||
\(352\) | −1.90520 | − | 18.1268i | −0.101548 | − | 0.966162i | ||||
\(353\) | −7.14894 | − | 22.0022i | −0.380499 | − | 1.17106i | −0.939693 | − | 0.342020i | \(-0.888889\pi\) |
0.559193 | − | 0.829037i | \(-0.311111\pi\) | |||||||
\(354\) | 0.847078 | − | 0.180052i | 0.0450217 | − | 0.00956966i | ||||
\(355\) | −1.79165 | + | 0.797694i | −0.0950909 | + | 0.0423372i | ||||
\(356\) | 9.51681 | − | 29.2897i | 0.504390 | − | 1.55235i | ||||
\(357\) | 0.148564 | − | 0.0315783i | 0.00786286 | − | 0.00167130i | ||||
\(358\) | −5.29946 | + | 2.35947i | −0.280085 | + | 0.124702i | ||||
\(359\) | 18.0334 | + | 20.0281i | 0.951767 | + | 1.05704i | 0.998309 | + | 0.0581282i | \(0.0185132\pi\) |
−0.0465419 | + | 0.998916i | \(0.514820\pi\) | |||||||
\(360\) | −9.88226 | − | 2.10054i | −0.520841 | − | 0.110708i | ||||
\(361\) | 3.51766 | + | 1.56616i | 0.185140 | + | 0.0824297i | ||||
\(362\) | −1.02493 | + | 1.13830i | −0.0538692 | + | 0.0598278i | ||||
\(363\) | 67.6975 | − | 30.1409i | 3.55320 | − | 1.58199i | ||||
\(364\) | 0.0588085 | + | 0.164856i | 0.00308240 | + | 0.00864082i | ||||
\(365\) | −26.8043 | − | 11.9340i | −1.40300 | − | 0.624656i | ||||
\(366\) | −4.36454 | −0.228138 | ||||||||
\(367\) | 7.91407 | + | 13.7076i | 0.413111 | + | 0.715529i | 0.995228 | − | 0.0975758i | \(-0.0311088\pi\) |
−0.582117 | + | 0.813105i | \(0.697776\pi\) | |||||||
\(368\) | −7.43523 | − | 3.31038i | −0.387588 | − | 0.172565i | ||||
\(369\) | 22.6772 | − | 4.82019i | 1.18053 | − | 0.250929i | ||||
\(370\) | 1.16605 | − | 1.29504i | 0.0606203 | − | 0.0673257i | ||||
\(371\) | −0.0284384 | − | 0.0492567i | −0.00147645 | − | 0.00255728i | ||||
\(372\) | 21.9626 | + | 15.0716i | 1.13871 | + | 0.781428i | ||||
\(373\) | −10.1434 | − | 17.5690i | −0.525207 | − | 0.909686i | −0.999569 | − | 0.0293559i | \(-0.990654\pi\) |
0.474362 | − | 0.880330i | \(-0.342679\pi\) | |||||||
\(374\) | −3.80658 | − | 0.809113i | −0.196833 | − | 0.0418382i | ||||
\(375\) | 3.33348 | − | 10.2594i | 0.172140 | − | 0.529793i | ||||
\(376\) | −5.42756 | + | 3.94335i | −0.279905 | + | 0.203363i | ||||
\(377\) | −23.5382 | + | 11.2941i | −1.21228 | + | 0.581676i | ||||
\(378\) | −0.000670695 | − | 0.00116168i | −3.44968e−5 | − | 5.97503e-5i | ||||
\(379\) | −9.35970 | + | 6.80022i | −0.480775 | + | 0.349304i | −0.801626 | − | 0.597826i | \(-0.796031\pi\) |
0.320850 | + | 0.947130i | \(0.396031\pi\) | |||||||
\(380\) | −28.4639 | + | 12.6729i | −1.46017 | + | 0.650108i | ||||
\(381\) | 23.2507 | + | 16.8926i | 1.19117 | + | 0.865435i | ||||
\(382\) | 2.43335 | + | 0.517225i | 0.124501 | + | 0.0264635i | ||||
\(383\) | −1.27441 | + | 0.925912i | −0.0651192 | + | 0.0473119i | −0.619869 | − | 0.784706i | \(-0.712814\pi\) |
0.554749 | + | 0.832017i | \(0.312814\pi\) | |||||||
\(384\) | −17.6532 | − | 3.75231i | −0.900863 | − | 0.191484i | ||||
\(385\) | 0.360754 | + | 0.400658i | 0.0183857 | + | 0.0204194i | ||||
\(386\) | −1.23470 | + | 0.549724i | −0.0628446 | + | 0.0279802i | ||||
\(387\) | 21.8193 | + | 24.2328i | 1.10914 | + | 1.23182i | ||||
\(388\) | 7.00812 | + | 7.78330i | 0.355783 | + | 0.395137i | ||||
\(389\) | 1.38225 | − | 13.1512i | 0.0700829 | − | 0.666794i | −0.901933 | − | 0.431877i | \(-0.857851\pi\) |
0.972015 | − | 0.234917i | \(-0.0754819\pi\) | |||||||
\(390\) | −6.83356 | − | 2.81204i | −0.346031 | − | 0.142393i | ||||
\(391\) | −3.68114 | + | 4.08832i | −0.186163 | + | 0.206755i | ||||
\(392\) | −6.22344 | − | 2.77086i | −0.314331 | − | 0.139949i | ||||
\(393\) | 7.47697 | − | 8.30401i | 0.377163 | − | 0.418882i | ||||
\(394\) | 0.650880 | + | 0.472892i | 0.0327908 | + | 0.0238239i | ||||
\(395\) | 19.8001 | + | 14.3856i | 0.996250 | + | 0.723818i | ||||
\(396\) | −4.00895 | − | 38.1426i | −0.201457 | − | 1.91674i | ||||
\(397\) | 11.5301 | − | 19.9707i | 0.578678 | − | 1.00230i | −0.416953 | − | 0.908928i | \(-0.636902\pi\) |
0.995631 | − | 0.0933718i | \(-0.0297645\pi\) | |||||||
\(398\) | −1.29965 | + | 2.25106i | −0.0651456 | + | 0.112835i | ||||
\(399\) | −0.269768 | − | 0.120109i | −0.0135053 | − | 0.00601295i | ||||
\(400\) | 7.08194 | − | 21.7960i | 0.354097 | − | 1.08980i | ||||
\(401\) | −16.9732 | − | 3.60776i | −0.847600 | − | 0.180163i | −0.236416 | − | 0.971652i | \(-0.575973\pi\) |
−0.611183 | + | 0.791489i | \(0.709306\pi\) | |||||||
\(402\) | −8.63498 | −0.430674 | ||||||||
\(403\) | 14.2379 | + | 14.1521i | 0.709240 | + | 0.704967i | ||||
\(404\) | −6.40780 | −0.318800 | ||||||||
\(405\) | 28.7013 | + | 6.10064i | 1.42618 | + | 0.303143i | ||||
\(406\) | −0.0138426 | + | 0.0426032i | −0.000686998 | + | 0.00211436i | ||||
\(407\) | 12.2771 | + | 5.46613i | 0.608555 | + | 0.270946i | ||||
\(408\) | −2.95218 | + | 5.11332i | −0.146155 | + | 0.253147i | ||||
\(409\) | 17.9267 | − | 31.0499i | 0.886417 | − | 1.53532i | 0.0423362 | − | 0.999103i | \(-0.486520\pi\) |
0.844081 | − | 0.536216i | \(-0.180147\pi\) | |||||||
\(410\) | −0.651886 | − | 6.20228i | −0.0321943 | − | 0.306309i | ||||
\(411\) | 20.2759 | + | 14.7313i | 1.00014 | + | 0.726642i | ||||
\(412\) | 7.36010 | + | 5.34743i | 0.362606 | + | 0.263449i | ||||
\(413\) | −0.0237966 | + | 0.0264288i | −0.00117095 | + | 0.00130048i | ||||
\(414\) | 1.55964 | + | 0.694398i | 0.0766523 | + | 0.0341278i | ||||
\(415\) | −9.23307 | + | 10.2544i | −0.453234 | + | 0.503367i | ||||
\(416\) | −9.48721 | − | 3.90403i | −0.465149 | − | 0.191411i | ||||
\(417\) | −3.98726 | + | 37.9362i | −0.195257 | + | 1.85774i | ||||
\(418\) | 5.06281 | + | 5.62282i | 0.247630 | + | 0.275021i | ||||
\(419\) | 3.65359 | + | 4.05772i | 0.178490 | + | 0.198233i | 0.825750 | − | 0.564036i | \(-0.190752\pi\) |
−0.647261 | + | 0.762269i | \(0.724085\pi\) | |||||||
\(420\) | 0.367839 | − | 0.163773i | 0.0179487 | − | 0.00799128i | ||||
\(421\) | −14.0769 | − | 15.6340i | −0.686065 | − | 0.761953i | 0.295028 | − | 0.955489i | \(-0.404671\pi\) |
−0.981093 | + | 0.193536i | \(0.938004\pi\) | |||||||
\(422\) | −2.42316 | − | 0.515059i | −0.117958 | − | 0.0250727i | ||||
\(423\) | −17.2196 | + | 12.5108i | −0.837246 | + | 0.608295i | ||||
\(424\) | 2.16273 | + | 0.459702i | 0.105031 | + | 0.0223251i | ||||
\(425\) | −12.5324 | − | 9.10534i | −0.607912 | − | 0.441674i | ||||
\(426\) | 0.324936 | − | 0.144671i | 0.0157432 | − | 0.00700932i | ||||
\(427\) | 0.145004 | − | 0.105352i | 0.00701726 | − | 0.00509834i | ||||
\(428\) | −3.51222 | − | 6.08334i | −0.169770 | − | 0.294049i | ||||
\(429\) | 4.33964 | − | 56.8214i | 0.209520 | − | 2.74337i | ||||
\(430\) | 7.09642 | − | 5.15585i | 0.342220 | − | 0.248637i | ||||
\(431\) | 3.05171 | − | 9.39221i | 0.146996 | − | 0.452407i | −0.850266 | − | 0.526353i | \(-0.823559\pi\) |
0.997262 | + | 0.0739458i | \(0.0235592\pi\) | |||||||
\(432\) | −0.771452 | − | 0.163977i | −0.0371165 | − | 0.00788936i | ||||
\(433\) | −10.2495 | − | 17.7526i | −0.492557 | − | 0.853134i | 0.507406 | − | 0.861707i | \(-0.330604\pi\) |
−0.999963 | + | 0.00857285i | \(0.997271\pi\) | |||||||
\(434\) | 0.0344322 | 0.000925987i | 0.00165280 | 4.44488e-5i | ||||||
\(435\) | 30.0295 | + | 52.0126i | 1.43980 | + | 2.49381i | ||||
\(436\) | −18.7208 | + | 20.7916i | −0.896565 | + | 0.995736i | ||||
\(437\) | 10.4623 | − | 2.22383i | 0.500479 | − | 0.106380i | ||||
\(438\) | 4.86126 | + | 2.16437i | 0.232280 | + | 0.103418i | ||||
\(439\) | −9.58873 | − | 16.6082i | −0.457645 | − | 0.792665i | 0.541191 | − | 0.840900i | \(-0.317974\pi\) |
−0.998836 | + | 0.0482350i | \(0.984640\pi\) | |||||||
\(440\) | −20.9586 | −0.999162 | ||||||||
\(441\) | −19.7447 | − | 8.79089i | −0.940221 | − | 0.418614i | ||||
\(442\) | −1.41872 | + | 1.66891i | −0.0674815 | + | 0.0793820i | ||||
\(443\) | −17.1971 | + | 7.65663i | −0.817058 | + | 0.363778i | −0.772330 | − | 0.635222i | \(-0.780909\pi\) |
−0.0447280 | + | 0.998999i | \(0.514242\pi\) | |||||||
\(444\) | 6.71592 | − | 7.45879i | 0.318724 | − | 0.353978i | ||||
\(445\) | −48.7780 | − | 21.7174i | −2.31230 | − | 1.02950i | ||||
\(446\) | 2.56995 | + | 0.546259i | 0.121691 | + | 0.0258661i | ||||
\(447\) | 4.35464 | + | 4.83632i | 0.205967 | + | 0.228750i | ||||
\(448\) | 0.150310 | − | 0.0669225i | 0.00710149 | − | 0.00316179i | ||||
\(449\) | 2.70440 | − | 0.574837i | 0.127628 | − | 0.0271282i | −0.143655 | − | 0.989628i | \(-0.545885\pi\) |
0.271283 | + | 0.962500i | \(0.412552\pi\) | |||||||
\(450\) | −1.48554 | + | 4.57202i | −0.0700289 | + | 0.215527i | ||||
\(451\) | 43.9366 | − | 19.5618i | 2.06889 | − | 0.921130i | ||||
\(452\) | −8.17632 | + | 1.73793i | −0.384582 | + | 0.0817453i | ||||
\(453\) | 13.6703 | + | 42.0730i | 0.642288 | + | 1.97676i | ||||
\(454\) | −0.358443 | − | 3.41036i | −0.0168226 | − | 0.160056i | ||||
\(455\) | 0.294910 | − | 0.0715240i | 0.0138256 | − | 0.00335310i | ||||
\(456\) | 10.4870 | − | 4.66913i | 0.491101 | − | 0.218652i | ||||
\(457\) | −10.5604 | + | 4.70180i | −0.493996 | + | 0.219941i | −0.638586 | − | 0.769551i | \(-0.720480\pi\) |
0.144590 | + | 0.989492i | \(0.453814\pi\) | |||||||
\(458\) | 4.51323 | − | 3.27905i | 0.210889 | − | 0.153220i | ||||
\(459\) | −0.266552 | + | 0.461682i | −0.0124416 | + | 0.0215495i | ||||
\(460\) | −7.29221 | + | 12.6305i | −0.340001 | + | 0.588899i | ||||
\(461\) | −33.4129 | − | 14.8764i | −1.55619 | − | 0.692861i | −0.564975 | − | 0.825108i | \(-0.691114\pi\) |
−0.991217 | + | 0.132247i | \(0.957781\pi\) | |||||||
\(462\) | −0.0654268 | − | 0.0726638i | −0.00304393 | − | 0.00338062i | ||||
\(463\) | 5.56321 | + | 17.1218i | 0.258544 | + | 0.795717i | 0.993111 | + | 0.117180i | \(0.0373856\pi\) |
−0.734566 | + | 0.678537i | \(0.762614\pi\) | |||||||
\(464\) | 13.1691 | + | 22.8095i | 0.611359 | + | 1.05891i | ||||
\(465\) | 29.9674 | − | 35.1375i | 1.38970 | − | 1.62946i | ||||
\(466\) | 0.504610 | − | 0.874010i | 0.0233756 | − | 0.0404877i | ||||
\(467\) | 1.40699 | + | 4.33026i | 0.0651076 | + | 0.200381i | 0.978318 | − | 0.207107i | \(-0.0664049\pi\) |
−0.913211 | + | 0.407488i | \(0.866405\pi\) | |||||||
\(468\) | −19.9631 | − | 8.21490i | −0.922794 | − | 0.379734i | ||||
\(469\) | 0.286882 | − | 0.208432i | 0.0132470 | − | 0.00962451i | ||||
\(470\) | 2.86278 | + | 4.95847i | 0.132050 | + | 0.228717i | ||||
\(471\) | 16.7857 | 0.773444 | ||||||||
\(472\) | −0.144511 | − | 1.37493i | −0.00665165 | − | 0.0632862i | ||||
\(473\) | 54.7265 | + | 39.7612i | 2.51633 | + | 1.82822i | ||||
\(474\) | −3.59097 | − | 2.60899i | −0.164939 | − | 0.119835i | ||||
\(475\) | 9.30701 | + | 28.6440i | 0.427035 | + | 1.31428i | ||||
\(476\) | −0.0124761 | − | 0.118702i | −0.000571839 | − | 0.00544068i | ||||
\(477\) | 6.86152 | + | 1.45846i | 0.314167 | + | 0.0667783i | ||||
\(478\) | −1.45112 | + | 0.308445i | −0.0663727 | + | 0.0141079i | ||||
\(479\) | 4.41905 | + | 3.21063i | 0.201912 | + | 0.146697i | 0.684147 | − | 0.729344i | \(-0.260175\pi\) |
−0.482235 | + | 0.876042i | \(0.660175\pi\) | |||||||
\(480\) | −7.29293 | + | 22.4453i | −0.332875 | + | 1.02448i | ||||
\(481\) | 5.99048 | − | 4.61872i | 0.273142 | − | 0.210596i | ||||
\(482\) | 0.343293 | − | 3.26621i | 0.0156366 | − | 0.148772i | ||||
\(483\) | −0.135204 | + | 0.0287385i | −0.00615200 | + | 0.00130765i | ||||
\(484\) | −17.9952 | − | 55.3836i | −0.817965 | − | 2.51744i | ||||
\(485\) | 14.6904 | − | 10.6732i | 0.667055 | − | 0.484644i | ||||
\(486\) | −5.36252 | − | 1.13984i | −0.243249 | − | 0.0517041i | ||||
\(487\) | 14.8792 | + | 10.8104i | 0.674240 | + | 0.489864i | 0.871442 | − | 0.490499i | \(-0.163185\pi\) |
−0.197202 | + | 0.980363i | \(0.563185\pi\) | |||||||
\(488\) | −0.728317 | + | 6.92947i | −0.0329694 | + | 0.313682i | ||||
\(489\) | −28.9882 | − | 12.9064i | −1.31089 | − | 0.583648i | ||||
\(490\) | −2.90697 | + | 5.03502i | −0.131324 | + | 0.227459i | ||||
\(491\) | 6.27083 | + | 10.8614i | 0.282998 | + | 0.490168i | 0.972122 | − | 0.234476i | \(-0.0753375\pi\) |
−0.689123 | + | 0.724644i | \(0.742004\pi\) | |||||||
\(492\) | −3.75455 | − | 35.7222i | −0.169268 | − | 1.61048i | ||||
\(493\) | 17.4139 | − | 3.70145i | 0.784285 | − | 0.166705i | ||||
\(494\) | 4.13876 | − | 1.00377i | 0.186212 | − | 0.0451616i | ||||
\(495\) | −66.4938 | −2.98867 | ||||||||
\(496\) | 13.1418 | − | 15.4092i | 0.590086 | − | 0.691892i | ||||
\(497\) | −0.00730335 | + | 0.0126498i | −0.000327600 | + | 0.000567420i | ||||
\(498\) | 1.67452 | − | 1.85974i | 0.0750371 | − | 0.0833371i | ||||
\(499\) | −19.9200 | + | 4.23412i | −0.891739 | + | 0.189545i | −0.630925 | − | 0.775844i | \(-0.717324\pi\) |
−0.260815 | + | 0.965389i | \(0.583991\pi\) | |||||||
\(500\) | −7.74423 | − | 3.44795i | −0.346332 | − | 0.154197i | ||||
\(501\) | 49.7261 | 2.22160 | ||||||||
\(502\) | 0.352730 | + | 0.610947i | 0.0157431 | + | 0.0272679i | ||||
\(503\) | −2.80888 | − | 26.7247i | −0.125242 | − | 1.19160i | −0.858924 | − | 0.512103i | \(-0.828867\pi\) |
0.733682 | − | 0.679493i | \(-0.237800\pi\) | |||||||
\(504\) | −0.0687403 | + | 0.0306051i | −0.00306193 | + | 0.00136326i | ||||
\(505\) | −1.16126 | + | 11.0486i | −0.0516753 | + | 0.491657i | ||||
\(506\) | 3.46426 | + | 0.736351i | 0.154005 | + | 0.0327348i | ||||
\(507\) | −26.9815 | − | 17.3450i | −1.19829 | − | 0.770317i | ||||
\(508\) | 15.1120 | − | 16.7836i | 0.670486 | − | 0.744650i | ||||
\(509\) | 26.0411 | − | 5.53522i | 1.15425 | − | 0.245344i | 0.409261 | − | 0.912417i | \(-0.365787\pi\) |
0.744992 | + | 0.667073i | \(0.232453\pi\) | |||||||
\(510\) | 4.07662 | + | 2.96184i | 0.180516 | + | 0.131152i | ||||
\(511\) | −0.213751 | + | 0.0454341i | −0.00945577 | + | 0.00200989i | ||||
\(512\) | −5.38621 | + | 16.5771i | −0.238039 | + | 0.732609i | ||||
\(513\) | 0.946875 | − | 0.421576i | 0.0418056 | − | 0.0186130i | ||||
\(514\) | 1.50349 | − | 4.62728i | 0.0663162 | − | 0.204100i | ||||
\(515\) | 10.5541 | − | 11.7215i | 0.465070 | − | 0.516512i | ||||
\(516\) | 40.8720 | − | 29.6952i | 1.79929 | − | 1.30726i | ||||
\(517\) | −29.5452 | + | 32.8133i | −1.29940 | + | 1.44313i | ||||
\(518\) | 0.00135666 | − | 0.0129078i | 5.96083e−5 | − | 0.000567135i | ||||
\(519\) | −7.87747 | − | 5.72332i | −0.345782 | − | 0.251226i | ||||
\(520\) | −5.60493 | + | 10.3802i | −0.245792 | + | 0.455202i | ||||
\(521\) | −21.6535 | − | 37.5049i | −0.948655 | − | 1.64312i | −0.748262 | − | 0.663403i | \(-0.769111\pi\) |
−0.200393 | − | 0.979716i | \(-0.564222\pi\) | |||||||
\(522\) | −2.76240 | − | 4.78462i | −0.120907 | − | 0.209417i | ||||
\(523\) | 3.37761 | + | 32.1358i | 0.147692 | + | 1.40520i | 0.777712 | + | 0.628621i | \(0.216380\pi\) |
−0.630020 | + | 0.776579i | \(0.716953\pi\) | |||||||
\(524\) | −5.87568 | − | 6.52560i | −0.256680 | − | 0.285072i | ||||
\(525\) | −0.120275 | − | 0.370167i | −0.00524922 | − | 0.0161554i | ||||
\(526\) | −2.70163 | − | 4.67937i | −0.117797 | − | 0.204030i | ||||
\(527\) | −7.16084 | − | 11.6669i | −0.311931 | − | 0.508219i | ||||
\(528\) | −57.4902 | −2.50194 | ||||||||
\(529\) | −12.0399 | + | 13.3717i | −0.523474 | + | 0.581377i | ||||
\(530\) | 0.583109 | − | 1.79463i | 0.0253286 | − | 0.0779535i | ||||
\(531\) | −0.458479 | − | 4.36213i | −0.0198963 | − | 0.189300i | ||||
\(532\) | −0.116028 | + | 0.200967i | −0.00503046 | + | 0.00871301i | ||||
\(533\) | 2.06146 | − | 26.9919i | 0.0892919 | − | 1.16915i | ||||
\(534\) | 8.84643 | + | 3.93869i | 0.382823 | + | 0.170444i | ||||
\(535\) | −11.1257 | + | 4.95347i | −0.481005 | + | 0.214157i | ||||
\(536\) | −1.44093 | + | 13.7095i | −0.0622387 | + | 0.592162i | ||||
\(537\) | 17.9001 | + | 55.0908i | 0.772445 | + | 2.37734i | ||||
\(538\) | −0.0230566 | − | 0.219369i | −0.000994041 | − | 0.00945767i | ||||
\(539\) | −43.8565 | − | 9.32199i | −1.88903 | − | 0.401527i | ||||
\(540\) | −0.436729 | + | 1.34411i | −0.0187938 | + | 0.0578414i | ||||
\(541\) | −0.198033 | + | 1.88416i | −0.00851412 | + | 0.0810065i | −0.997954 | − | 0.0639385i | \(-0.979634\pi\) |
0.989440 | + | 0.144945i | \(0.0463005\pi\) | |||||||
\(542\) | 2.83308 | − | 0.602190i | 0.121691 | − | 0.0258663i | ||||
\(543\) | 10.2345 | + | 11.3665i | 0.439204 | + | 0.487785i | ||||
\(544\) | 5.65968 | + | 4.11200i | 0.242657 | + | 0.176300i | ||||
\(545\) | 32.4571 | + | 36.0472i | 1.39031 | + | 1.54409i | ||||
\(546\) | −0.0534853 | + | 0.0129717i | −0.00228896 | + | 0.000555137i | ||||
\(547\) | 4.19661 | + | 39.9281i | 0.179434 | + | 1.70720i | 0.600051 | + | 0.799962i | \(0.295147\pi\) |
−0.420617 | + | 0.907238i | \(0.638186\pi\) | |||||||
\(548\) | 13.1785 | − | 14.6362i | 0.562958 | − | 0.625228i | ||||
\(549\) | −2.31068 | + | 21.9846i | −0.0986172 | + | 0.938280i | ||||
\(550\) | −1.04243 | + | 9.91805i | −0.0444493 | + | 0.422907i | ||||
\(551\) | −31.6209 | − | 14.0785i | −1.34709 | − | 0.599765i | ||||
\(552\) | 2.68669 | − | 4.65349i | 0.114353 | − | 0.198066i | ||||
\(553\) | 0.182280 | 0.00775132 | ||||||||
\(554\) | −3.25022 | + | 2.36142i | −0.138088 | + | 0.100327i | ||||
\(555\) | −11.6437 | − | 12.9316i | −0.494247 | − | 0.548917i | ||||
\(556\) | 29.3209 | + | 6.23234i | 1.24348 | + | 0.264310i | ||||
\(557\) | −10.6192 | + | 18.3929i | −0.449948 | + | 0.779333i | −0.998382 | − | 0.0568611i | \(-0.981891\pi\) |
0.548434 | + | 0.836194i | \(0.315224\pi\) | |||||||
\(558\) | −2.75669 | + | 3.23229i | −0.116700 | + | 0.136834i | ||||
\(559\) | 34.3280 | − | 16.4713i | 1.45192 | − | 0.696660i | ||||
\(560\) | −0.0946025 | − | 0.291156i | −0.00399768 | − | 0.0123036i | ||||
\(561\) | −12.0084 | + | 36.9579i | −0.506993 | + | 1.56037i | ||||
\(562\) | −0.694372 | − | 6.60651i | −0.0292903 | − | 0.278679i | ||||
\(563\) | −12.8517 | −0.541635 | −0.270817 | − | 0.962631i | \(-0.587294\pi\) | ||||
−0.270817 | + | 0.962631i | \(0.587294\pi\) | |||||||
\(564\) | 16.4882 | + | 28.5584i | 0.694280 | + | 1.20253i | ||||
\(565\) | 1.51486 | + | 14.4129i | 0.0637306 | + | 0.606357i | ||||
\(566\) | 0.0763812 | − | 0.726719i | 0.00321054 | − | 0.0305463i | ||||
\(567\) | 0.199644 | − | 0.0888872i | 0.00838426 | − | 0.00373291i | ||||
\(568\) | −0.175467 | − | 0.540033i | −0.00736245 | − | 0.0226593i | ||||
\(569\) | 15.3098 | + | 6.81636i | 0.641820 | + | 0.285757i | 0.701725 | − | 0.712447i | \(-0.252413\pi\) |
−0.0599056 | + | 0.998204i | \(0.519080\pi\) | |||||||
\(570\) | −3.02744 | − | 9.31750i | −0.126805 | − | 0.390267i | ||||
\(571\) | −11.1920 | − | 12.4300i | −0.468372 | − | 0.520180i | 0.461958 | − | 0.886902i | \(-0.347147\pi\) |
−0.930331 | + | 0.366721i | \(0.880480\pi\) | |||||||
\(572\) | −44.0513 | − | 8.05902i | −1.84188 | − | 0.336964i | ||||
\(573\) | 7.67634 | − | 23.6253i | 0.320684 | − | 0.986963i | ||||
\(574\) | −0.0310797 | − | 0.0345175i | −0.00129724 | − | 0.00144073i | ||||
\(575\) | 11.4054 | + | 8.28651i | 0.475638 | + | 0.345571i | ||||
\(576\) | −6.27078 | + | 19.2995i | −0.261283 | + | 0.804145i | ||||
\(577\) | 0.719300 | − | 0.798864i | 0.0299449 | − | 0.0332571i | −0.727986 | − | 0.685592i | \(-0.759544\pi\) |
0.757931 | + | 0.652335i | \(0.226210\pi\) | |||||||
\(578\) | −2.18994 | + | 1.59108i | −0.0910895 | + | 0.0661804i | ||||
\(579\) | 4.17047 | + | 12.8354i | 0.173319 | + | 0.533421i | ||||
\(580\) | 43.1162 | − | 19.1966i | 1.79030 | − | 0.797095i | ||||
\(581\) | −0.0107423 | + | 0.102207i | −0.000445668 | + | 0.00424024i | ||||
\(582\) | −2.66426 | + | 1.93570i | −0.110437 | + | 0.0802374i | ||||
\(583\) | 14.5521 | 0.602687 | ||||||||
\(584\) | 4.24752 | − | 7.35692i | 0.175764 | − | 0.304431i | ||||
\(585\) | −17.7823 | + | 32.9325i | −0.735209 | + | 1.36159i | ||||
\(586\) | 0.645395 | − | 0.137183i | 0.0266610 | − | 0.00566698i | ||||
\(587\) | −24.4559 | − | 5.19826i | −1.00940 | − | 0.214555i | −0.326604 | − | 0.945161i | \(-0.605904\pi\) |
−0.682799 | + | 0.730606i | \(0.739238\pi\) | |||||||
\(588\) | −16.7428 | + | 28.9993i | −0.690461 | + | 1.19591i | ||||
\(589\) | −2.06945 | + | 26.5346i | −0.0852703 | + | 1.09334i | ||||
\(590\) | −1.17988 | −0.0485747 | ||||||||
\(591\) | 5.37558 | − | 5.97018i | 0.221122 | − | 0.245581i | ||||
\(592\) | −5.10620 | − | 5.67101i | −0.209864 | − | 0.233077i | ||||
\(593\) | 1.90543 | − | 1.38438i | 0.0782468 | − | 0.0568496i | −0.547974 | − | 0.836495i | \(-0.684601\pi\) |
0.626221 | + | 0.779646i | \(0.284601\pi\) | |||||||
\(594\) | 0.343199 | 0.0140816 | ||||||||
\(595\) | −0.206932 | −0.00848338 | ||||||||
\(596\) | 4.13744 | − | 3.00602i | 0.169476 | − | 0.123132i | ||||
\(597\) | 20.9984 | + | 15.2562i | 0.859406 | + | 0.624395i | ||||
\(598\) | 1.29113 | − | 1.51883i | 0.0527984 | − | 0.0621095i | ||||
\(599\) | −1.64648 | − | 0.349971i | −0.0672734 | − | 0.0142994i | 0.174152 | − | 0.984719i | \(-0.444282\pi\) |
−0.241425 | + | 0.970419i | \(0.577615\pi\) | |||||||
\(600\) | 13.8224 | + | 6.15414i | 0.564298 | + | 0.251242i | ||||
\(601\) | −2.38410 | − | 7.33750i | −0.0972494 | − | 0.299303i | 0.890584 | − | 0.454819i | \(-0.150296\pi\) |
−0.987833 | + | 0.155516i | \(0.950296\pi\) | |||||||
\(602\) | 0.0201880 | − | 0.0621322i | 0.000822801 | − | 0.00253232i | ||||
\(603\) | −4.57153 | + | 43.4952i | −0.186167 | + | 1.77126i | ||||
\(604\) | 34.0043 | − | 7.22784i | 1.38361 | − | 0.294096i | ||||
\(605\) | −98.7561 | + | 20.9913i | −4.01501 | + | 0.853416i | ||||
\(606\) | 0.210607 | − | 2.00379i | 0.00855533 | − | 0.0813985i | ||||
\(607\) | −2.43126 | + | 7.48264i | −0.0986817 | + | 0.303711i | −0.988196 | − | 0.153197i | \(-0.951043\pi\) |
0.889514 | + | 0.456908i | \(0.151043\pi\) | |||||||
\(608\) | −4.20307 | − | 12.9357i | −0.170457 | − | 0.524613i | ||||
\(609\) | 0.408637 | + | 0.181937i | 0.0165588 | + | 0.00737245i | ||||
\(610\) | 5.81648 | + | 1.23633i | 0.235503 | + | 0.0500576i | ||||
\(611\) | 8.35027 | + | 23.4081i | 0.337816 | + | 0.946991i | ||||
\(612\) | 11.9092 | + | 8.65251i | 0.481399 | + | 0.349757i | ||||
\(613\) | 3.87836 | − | 2.81779i | 0.156645 | − | 0.113810i | −0.506702 | − | 0.862122i | \(-0.669135\pi\) |
0.663347 | + | 0.748312i | \(0.269135\pi\) | |||||||
\(614\) | 2.97467 | 0.120048 | ||||||||
\(615\) | −62.2742 | −2.51114 | ||||||||
\(616\) | −0.126284 | + | 0.0917509i | −0.00508814 | + | 0.00369675i | ||||
\(617\) | 19.5269 | + | 21.6868i | 0.786123 | + | 0.873078i | 0.994475 | − | 0.104976i | \(-0.0334766\pi\) |
−0.208352 | + | 0.978054i | \(0.566810\pi\) | |||||||
\(618\) | −1.91411 | + | 2.12583i | −0.0769967 | + | 0.0855135i | ||||
\(619\) | −33.7991 | −1.35850 | −0.679251 | − | 0.733906i | \(-0.737695\pi\) | ||||
−0.679251 | + | 0.733906i | \(0.737695\pi\) | |||||||
\(620\) | −24.9995 | − | 26.3067i | −1.00401 | − | 1.05650i | ||||
\(621\) | 0.242581 | − | 0.420163i | 0.00973446 | − | 0.0168606i | ||||
\(622\) | −4.64307 | − | 0.986916i | −0.186170 | − | 0.0395717i | ||||
\(623\) | −0.388980 | + | 0.0826802i | −0.0155842 | + | 0.00331251i | ||||
\(624\) | −15.3745 | + | 28.4733i | −0.615474 | + | 1.13984i | ||||
\(625\) | 8.40285 | − | 14.5542i | 0.336114 | − | 0.582166i | ||||
\(626\) | 4.85965 | 0.194231 | ||||||||
\(627\) | 61.1237 | − | 44.4090i | 2.44105 | − | 1.77352i | ||||
\(628\) | 1.37882 | − | 13.1186i | 0.0550207 | − | 0.523487i | ||||
\(629\) | −4.71221 | + | 2.09801i | −0.187888 | + | 0.0836531i | ||||
\(630\) | 0.0198442 | + | 0.0610742i | 0.000790612 | + | 0.00243325i | ||||
\(631\) | 13.3468 | − | 9.69705i | 0.531330 | − | 0.386034i | −0.289525 | − | 0.957170i | \(-0.593497\pi\) |
0.820855 | + | 0.571137i | \(0.193497\pi\) | |||||||
\(632\) | −4.74145 | + | 5.26592i | −0.188605 | + | 0.209467i | ||||
\(633\) | −7.64420 | + | 23.5264i | −0.303830 | + | 0.935092i | ||||
\(634\) | 4.60763 | + | 3.34764i | 0.182992 | + | 0.132952i | ||||
\(635\) | −26.2003 | − | 29.0984i | −1.03973 | − | 1.15473i | ||||
\(636\) | 3.35843 | − | 10.3362i | 0.133170 | − | 0.409857i | ||||
\(637\) | −16.3454 | + | 19.2279i | −0.647628 | + | 0.761839i | ||||
\(638\) | −7.66899 | − | 8.51728i | −0.303618 | − | 0.337202i | ||||
\(639\) | −0.556692 | − | 1.71332i | −0.0220224 | − | 0.0677780i | ||||
\(640\) | 22.4630 | + | 10.0012i | 0.887927 | + | 0.395331i | ||||
\(641\) | −10.7391 | − | 33.0516i | −0.424170 | − | 1.30546i | −0.903787 | − | 0.427982i | \(-0.859225\pi\) |
0.479618 | − | 0.877478i | \(-0.340775\pi\) | |||||||
\(642\) | 2.01777 | − | 0.898368i | 0.0796349 | − | 0.0354557i | ||||
\(643\) | 2.18855 | − | 20.8227i | 0.0863080 | − | 0.821165i | −0.862658 | − | 0.505787i | \(-0.831202\pi\) |
0.948966 | − | 0.315378i | \(-0.102131\pi\) | |||||||
\(644\) | 0.0113541 | + | 0.108027i | 0.000447414 | + | 0.00425686i | ||||
\(645\) | −43.7948 | − | 75.8549i | −1.72442 | − | 2.98678i | ||||
\(646\) | −2.90408 | −0.114259 | ||||||||
\(647\) | −4.42808 | − | 42.1304i | −0.174086 | − | 1.65632i | −0.637705 | − | 0.770281i | \(-0.720116\pi\) |
0.463619 | − | 0.886035i | \(-0.346551\pi\) | |||||||
\(648\) | −2.62525 | + | 8.07969i | −0.103130 | + | 0.317400i | ||||
\(649\) | −2.81175 | − | 8.65369i | −0.110371 | − | 0.339687i | ||||
\(650\) | 4.63336 | + | 3.16865i | 0.181735 | + | 0.124285i | ||||
\(651\) | 0.0267436 | − | 0.342907i | 0.00104816 | − | 0.0134396i | ||||
\(652\) | −12.4679 | + | 21.5951i | −0.488282 | + | 0.845729i | ||||
\(653\) | 25.2051 | + | 5.35751i | 0.986352 | + | 0.209656i | 0.672727 | − | 0.739891i | \(-0.265123\pi\) |
0.313626 | + | 0.949547i | \(0.398456\pi\) | |||||||
\(654\) | −5.88646 | − | 6.53757i | −0.230179 | − | 0.255639i | ||||
\(655\) | −12.3166 | + | 8.94850i | −0.481248 | + | 0.349647i | ||||
\(656\) | −27.3096 | −1.06626 | ||||||||
\(657\) | 13.4758 | − | 23.3407i | 0.525740 | − | 0.910609i | ||||
\(658\) | 0.0389562 | + | 0.0173444i | 0.00151867 | + | 0.000676156i | ||||
\(659\) | 4.29721 | − | 40.8853i | 0.167396 | − | 1.59266i | −0.512062 | − | 0.858949i | \(-0.671118\pi\) |
0.679457 | − | 0.733715i | \(-0.262215\pi\) | |||||||
\(660\) | −10.7685 | + | 102.455i | −0.419162 | + | 3.98806i | ||||
\(661\) | −0.696457 | + | 0.773493i | −0.0270890 | + | 0.0300854i | −0.756537 | − | 0.653951i | \(-0.773110\pi\) |
0.729448 | + | 0.684036i | \(0.239777\pi\) | |||||||
\(662\) | −0.0155156 | − | 0.147621i | −0.000603032 | − | 0.00573747i | ||||
\(663\) | 15.0929 | + | 15.8310i | 0.586158 | + | 0.614826i | ||||
\(664\) | −2.67324 | − | 2.96893i | −0.103742 | − | 0.115217i | ||||
\(665\) | 0.325488 | + | 0.236481i | 0.0126219 | + | 0.00917035i | ||||
\(666\) | 1.07110 | + | 1.18957i | 0.0415042 | + | 0.0460951i | ||||
\(667\) | −15.8479 | + | 3.36858i | −0.613635 | + | 0.130432i | ||||
\(668\) | 4.08462 | − | 38.8625i | 0.158039 | − | 1.50364i | ||||
\(669\) | 8.10725 | − | 24.9515i | 0.313444 | − | 0.964683i | ||||
\(670\) | 11.5076 | + | 2.44601i | 0.444576 | + | 0.0944975i | ||||
\(671\) | 4.79346 | + | 45.6068i | 0.185050 | + | 1.76063i | ||||
\(672\) | 0.0543164 | + | 0.167169i | 0.00209530 | + | 0.00644867i | ||||
\(673\) | 2.75378 | − | 26.2005i | 0.106150 | − | 1.00995i | −0.803705 | − | 0.595028i | \(-0.797141\pi\) |
0.909855 | − | 0.414926i | \(-0.136192\pi\) | |||||||
\(674\) | 1.88172 | − | 0.837795i | 0.0724811 | − | 0.0322707i | ||||
\(675\) | 1.24803 | + | 0.555657i | 0.0480366 | + | 0.0213873i | ||||
\(676\) | −15.7720 | + | 19.6622i | −0.606615 | + | 0.756238i | ||||
\(677\) | −2.72289 | + | 4.71619i | −0.104649 | + | 0.181258i | −0.913595 | − | 0.406626i | \(-0.866705\pi\) |
0.808946 | + | 0.587883i | \(0.200039\pi\) | |||||||
\(678\) | −0.274737 | − | 2.61395i | −0.0105512 | − | 0.100388i | ||||
\(679\) | 0.0417914 | − | 0.128621i | 0.00160381 | − | 0.00493601i | ||||
\(680\) | 5.38270 | − | 5.97810i | 0.206417 | − | 0.229250i | ||||
\(681\) | −34.2419 | −1.31215 | ||||||||
\(682\) | −4.19962 | + | 7.74779i | −0.160812 | + | 0.296678i | ||||
\(683\) | 8.48052 | + | 14.6887i | 0.324498 | + | 0.562047i | 0.981411 | − | 0.191919i | \(-0.0614712\pi\) |
−0.656912 | + | 0.753967i | \(0.728138\pi\) | |||||||
\(684\) | −8.84416 | − | 27.2195i | −0.338165 | − | 1.04076i | ||||
\(685\) | −22.8481 | − | 25.3754i | −0.872983 | − | 0.969546i | ||||
\(686\) | 0.00905282 | + | 0.0861319i | 0.000345638 | + | 0.00328853i | ||||
\(687\) | −27.8529 | − | 48.2427i | −1.06266 | − | 1.84057i | ||||
\(688\) | −19.2057 | − | 33.2653i | −0.732211 | − | 1.26823i | ||||
\(689\) | 3.89165 | − | 7.20726i | 0.148260 | − | 0.274575i | ||||
\(690\) | −3.71002 | − | 2.69548i | −0.141238 | − | 0.102615i | ||||
\(691\) | 1.37072 | − | 13.0415i | 0.0521445 | − | 0.496122i | −0.937016 | − | 0.349286i | \(-0.886424\pi\) |
0.989161 | − | 0.146836i | \(-0.0469090\pi\) | |||||||
\(692\) | −5.12003 | + | 5.68637i | −0.194634 | + | 0.216163i | ||||
\(693\) | −0.400652 | + | 0.291091i | −0.0152195 | + | 0.0110576i | ||||
\(694\) | −1.44698 | + | 1.60703i | −0.0549266 | + | 0.0610021i | ||||
\(695\) | 16.0598 | − | 49.4269i | 0.609182 | − | 1.87487i | ||||
\(696\) | −15.8855 | + | 7.07266i | −0.602137 | + | 0.268089i | ||||
\(697\) | −5.70434 | + | 17.5562i | −0.216067 | + | 0.664987i | ||||
\(698\) | −4.21092 | + | 0.895060i | −0.159386 | + | 0.0338785i | ||||
\(699\) | −8.15295 | − | 5.92346i | −0.308373 | − | 0.224046i | ||||
\(700\) | −0.299177 | + | 0.0635921i | −0.0113078 | + | 0.00240356i | ||||
\(701\) | −21.9891 | + | 24.4213i | −0.830515 | + | 0.922380i | −0.997982 | − | 0.0634972i | \(-0.979775\pi\) |
0.167467 | + | 0.985878i | \(0.446441\pi\) | |||||||
\(702\) | 0.0917812 | − | 0.169977i | 0.00346406 | − | 0.00641537i | ||||
\(703\) | 9.80955 | + | 2.08508i | 0.369974 | + | 0.0786405i | ||||
\(704\) | −4.40032 | + | 41.8663i | −0.165843 | + | 1.57789i | ||||
\(705\) | 52.2299 | − | 23.2542i | 1.96709 | − | 0.875805i | ||||
\(706\) | −0.597524 | − | 5.68506i | −0.0224881 | − | 0.213960i | ||||
\(707\) | 0.0413707 | + | 0.0716562i | 0.00155591 | + | 0.00269491i | ||||
\(708\) | −6.79552 | −0.255391 | ||||||||
\(709\) | −2.99799 | − | 1.33479i | −0.112592 | − | 0.0501291i | 0.349668 | − | 0.936874i | \(-0.386294\pi\) |
−0.462260 | + | 0.886745i | \(0.652961\pi\) | |||||||
\(710\) | −0.474012 | + | 0.100754i | −0.0177893 | + | 0.00378124i | ||||
\(711\) | −15.0429 | + | 16.7068i | −0.564151 | + | 0.626553i | ||||
\(712\) | 7.72956 | − | 13.3880i | 0.289678 | − | 0.501736i | ||||
\(713\) | 6.51688 | + | 10.6177i | 0.244059 | + | 0.397637i | ||||
\(714\) | 0.0375294 | 0.00140450 | ||||||||
\(715\) | −21.8789 | + | 74.4948i | −0.818226 | + | 2.78595i | ||||
\(716\) | 44.5256 | − | 9.46420i | 1.66400 | − | 0.353694i | ||||
\(717\) | 1.54848 | + | 14.7328i | 0.0578289 | + | 0.550205i | ||||
\(718\) | 3.32965 | + | 5.76712i | 0.124261 | + | 0.215227i | ||||
\(719\) | 0.772828 | − | 1.33858i | 0.0288216 | − | 0.0499205i | −0.851255 | − | 0.524753i | \(-0.824158\pi\) |
0.880076 | + | 0.474832i | \(0.157491\pi\) | |||||||
\(720\) | 34.4930 | + | 15.3573i | 1.28548 | + | 0.572332i | ||||
\(721\) | 0.0122793 | − | 0.116830i | 0.000457306 | − | 0.00435098i | ||||
\(722\) | 0.769739 | + | 0.559248i | 0.0286467 | + | 0.0208130i | ||||
\(723\) | −32.0779 | − | 6.81837i | −1.19299 | − | 0.253578i | ||||
\(724\) | 9.72401 | − | 7.06490i | 0.361390 | − | 0.262565i | ||||
\(725\) | −14.0980 | − | 43.3891i | −0.523586 | − | 1.61143i | ||||
\(726\) | 17.9105 | − | 3.80700i | 0.664722 | − | 0.141291i | ||||
\(727\) | 3.57050 | − | 33.9710i | 0.132422 | − | 1.25992i | −0.703352 | − | 0.710842i | \(-0.748314\pi\) |
0.835774 | − | 0.549073i | \(-0.185019\pi\) | |||||||
\(728\) | 0.0116696 | + | 0.0870818i | 0.000432506 | + | 0.00322747i | ||||
\(729\) | −8.82490 | + | 27.1602i | −0.326848 | + | 1.00593i | ||||
\(730\) | −5.86534 | − | 4.26142i | −0.217086 | − | 0.157722i | ||||
\(731\) | −25.3964 | + | 5.39817i | −0.939319 | + | 0.199659i | ||||
\(732\) | 33.5002 | + | 7.12068i | 1.23820 | + | 0.263188i | ||||
\(733\) | −5.47842 | − | 52.1237i | −0.202350 | − | 1.92523i | −0.351064 | − | 0.936351i | \(-0.614180\pi\) |
0.148714 | − | 0.988880i | \(-0.452487\pi\) | |||||||
\(734\) | 1.20858 | + | 3.71961i | 0.0446093 | + | 0.137293i | ||||
\(735\) | 46.9678 | + | 34.1241i | 1.73243 | + | 1.25869i | ||||
\(736\) | −5.15071 | − | 3.74221i | −0.189858 | − | 0.137940i | ||||
\(737\) | 9.48358 | + | 90.2302i | 0.349332 | + | 3.32367i | ||||
\(738\) | 5.72858 | 0.210872 | ||||||||
\(739\) | 21.3569 | + | 36.9913i | 0.785627 | + | 1.36075i | 0.928624 | + | 0.371023i | \(0.120993\pi\) |
−0.142996 | + | 0.989723i | \(0.545674\pi\) | |||||||
\(740\) | −11.0629 | + | 8.03768i | −0.406681 | + | 0.295471i | ||||
\(741\) | −5.64831 | − | 42.1491i | −0.207496 | − | 1.54839i | ||||
\(742\) | −0.00434289 | − | 0.0133660i | −0.000159433 | − | 0.000490683i | ||||
\(743\) | 14.7726 | − | 25.5869i | 0.541953 | − | 0.938691i | −0.456839 | − | 0.889550i | \(-0.651018\pi\) |
0.998792 | − | 0.0491410i | \(-0.0156484\pi\) | |||||||
\(744\) | 9.21066 | + | 9.69228i | 0.337679 | + | 0.355336i | ||||
\(745\) | −4.43331 | − | 7.67873i | −0.162424 | − | 0.281327i | ||||
\(746\) | −1.54903 | − | 4.76742i | −0.0567139 | − | 0.174548i | ||||
\(747\) | −8.48118 | − | 9.41930i | −0.310310 | − | 0.344634i | ||||
\(748\) | 27.8974 | + | 12.4207i | 1.02003 | + | 0.454147i | ||||
\(749\) | −0.0453519 | + | 0.0785518i | −0.00165712 | + | 0.00287022i | ||||
\(750\) | 1.33275 | − | 2.30838i | 0.0486650 | − | 0.0842902i | ||||
\(751\) | −39.0759 | + | 28.3903i | −1.42590 | + | 1.03598i | −0.435139 | + | 0.900363i | \(0.643301\pi\) |
−0.990762 | + | 0.135615i | \(0.956699\pi\) | |||||||
\(752\) | 22.9048 | − | 10.1979i | 0.835252 | − | 0.371878i | ||||
\(753\) | 6.43538 | − | 2.86522i | 0.234518 | − | 0.104414i | ||||
\(754\) | −6.26927 | + | 1.52047i | −0.228314 | + | 0.0553724i | ||||
\(755\) | −6.30012 | − | 59.9416i | −0.229285 | − | 2.18150i | ||||
\(756\) | 0.00325268 | + | 0.0100107i | 0.000118299 | + | 0.000364086i | ||||
\(757\) | 3.18074 | − | 0.676086i | 0.115606 | − | 0.0245728i | −0.149745 | − | 0.988725i | \(-0.547845\pi\) |
0.265351 | + | 0.964152i | \(0.414512\pi\) | |||||||
\(758\) | −2.61154 | + | 1.16273i | −0.0948552 | + | 0.0422323i | ||||
\(759\) | 10.9285 | − | 33.6344i | 0.396678 | − | 1.22085i | ||||
\(760\) | −15.2983 | + | 3.25176i | −0.554929 | + | 0.117954i | ||||
\(761\) | −49.0076 | + | 21.8196i | −1.77652 | + | 0.790959i | −0.793231 | + | 0.608921i | \(0.791603\pi\) |
−0.983291 | + | 0.182038i | \(0.941731\pi\) | |||||||
\(762\) | 4.75172 | + | 5.27732i | 0.172137 | + | 0.191177i | ||||
\(763\) | 0.353372 | + | 0.0751116i | 0.0127929 | + | 0.00271922i | ||||
\(764\) | −17.8334 | − | 7.93994i | −0.645190 | − | 0.287257i | ||||
\(765\) | 17.0773 | − | 18.9663i | 0.617431 | − | 0.685726i | ||||
\(766\) | −0.355584 | + | 0.158316i | −0.0128478 | + | 0.00572020i | ||||
\(767\) | −5.03787 | − | 0.921660i | −0.181907 | − | 0.0332792i | ||||
\(768\) | 25.5520 | + | 11.3765i | 0.922030 | + | 0.410514i | ||||
\(769\) | −2.58458 | −0.0932023 | −0.0466011 | − | 0.998914i | \(-0.514839\pi\) | ||||
−0.0466011 | + | 0.998914i | \(0.514839\pi\) | |||||||
\(770\) | 0.0666088 | + | 0.115370i | 0.00240041 | + | 0.00415764i | ||||
\(771\) | −44.3834 | − | 19.7608i | −1.59843 | − | 0.711666i | ||||
\(772\) | 10.3738 | − | 2.20503i | 0.373363 | − | 0.0793607i | ||||
\(773\) | −12.6487 | + | 14.0478i | −0.454943 | + | 0.505266i | −0.926357 | − | 0.376646i | \(-0.877077\pi\) |
0.471414 | + | 0.881912i | \(0.343744\pi\) | |||||||
\(774\) | 4.02867 | + | 6.97786i | 0.144808 | + | 0.250814i | ||||
\(775\) | −27.8158 | + | 21.3751i | −0.999173 | + | 0.767815i | ||||
\(776\) | 2.62867 | + | 4.55300i | 0.0943639 | + | 0.163443i | ||||
\(777\) | −0.126769 | − | 0.0269456i | −0.00454781 | − | 0.000966667i | ||||
\(778\) | 1.00971 | − | 3.10756i | 0.0361998 | − | 0.111412i | ||||
\(779\) | 29.0356 | − | 21.0956i | 1.04031 | − | 0.755829i | ||||
\(780\) | 47.8633 | + | 32.7327i | 1.71378 | + | 1.17202i | ||||
\(781\) | −1.86859 | − | 3.23649i | −0.0668633 | − | 0.115811i | ||||
\(782\) | −1.09974 | + | 0.799009i | −0.0393267 | + | 0.0285725i | ||||
\(783\) | −1.43430 | + | 0.638590i | −0.0512576 | + | 0.0228214i | ||||
\(784\) | 20.5972 | + | 14.9647i | 0.735613 | + | 0.534454i | ||||
\(785\) | −22.3697 | − | 4.75483i | −0.798410 | − | 0.169707i | ||||
\(786\) | 2.23375 | − | 1.62291i | 0.0796751 | − | 0.0578874i | ||||
\(787\) | 49.5840 | + | 10.5394i | 1.76748 | + | 0.375689i | 0.972855 | − | 0.231415i | \(-0.0743354\pi\) |
0.794623 | + | 0.607104i | \(0.207669\pi\) | |||||||
\(788\) | −4.22433 | − | 4.69159i | −0.150485 | − | 0.167131i | ||||
\(789\) | −49.2899 | + | 21.9453i | −1.75477 | + | 0.781272i | ||||
\(790\) | 4.04652 | + | 4.49412i | 0.143969 | + | 0.159893i | ||||
\(791\) | 0.0722234 | + | 0.0802122i | 0.00256797 | + | 0.00285202i | ||||
\(792\) | 2.01237 | − | 19.1464i | 0.0715063 | − | 0.680337i | ||||
\(793\) | 23.8697 | + | 9.82248i | 0.847637 | + | 0.348806i | ||||
\(794\) | 3.81272 | − | 4.23445i | 0.135308 | − | 0.150275i | ||||
\(795\) | −17.2135 | − | 7.66394i | −0.610500 | − | 0.271812i | ||||
\(796\) | 13.6481 | − | 15.1577i | 0.483743 | − | 0.537251i | ||||
\(797\) | 7.19903 | + | 5.23040i | 0.255003 | + | 0.185270i | 0.707941 | − | 0.706271i | \(-0.249624\pi\) |
−0.452938 | + | 0.891542i | \(0.649624\pi\) | |||||||
\(798\) | −0.0590310 | − | 0.0428885i | −0.00208967 | − | 0.00151824i | ||||
\(799\) | −1.77149 | − | 16.8546i | −0.0626707 | − | 0.596272i | ||||
\(800\) | 8.96367 | − | 15.5255i | 0.316914 | − | 0.548911i | ||||
\(801\) | 24.5230 | − | 42.4751i | 0.866478 | − | 1.50078i | ||||
\(802\) | −3.91697 | − | 1.74395i | −0.138313 | − | 0.0615810i | ||||
\(803\) | 17.2773 | − | 53.1741i | 0.609704 | − | 1.87647i | ||||
\(804\) | 66.2781 | + | 14.0878i | 2.33745 | + | 0.496840i | ||||
\(805\) | 0.188323 | 0.00663751 | ||||||||
\(806\) | 2.71417 | + | 4.15194i | 0.0956025 | + | 0.146246i | ||||
\(807\) | −2.20258 | −0.0775346 | ||||||||
\(808\) | −3.14622 | − | 0.668751i | −0.110684 | − | 0.0235266i | ||||
\(809\) | 0.766480 | − | 2.35898i | 0.0269480 | − | 0.0829374i | −0.936678 | − | 0.350192i | \(-0.886116\pi\) |
0.963626 | + | 0.267254i | \(0.0861164\pi\) | |||||||
\(810\) | 6.62352 | + | 2.94898i | 0.232727 | + | 0.103617i | ||||
\(811\) | 0.317981 | − | 0.550760i | 0.0111658 | − | 0.0193398i | −0.860388 | − | 0.509639i | \(-0.829779\pi\) |
0.871554 | + | 0.490299i | \(0.163112\pi\) | |||||||
\(812\) | 0.175756 | − | 0.304418i | 0.00616782 | − | 0.0106830i | ||||
\(813\) | −3.02316 | − | 28.7634i | −0.106027 | − | 1.00878i | ||||
\(814\) | 2.68650 | + | 1.95185i | 0.0941616 | + | 0.0684124i | ||||
\(815\) | 34.9757 | + | 25.4113i | 1.22515 | + | 0.890120i | ||||
\(816\) | 14.7650 | − | 16.3982i | 0.516877 | − | 0.574050i | ||||
\(817\) | 46.1156 | + | 20.5320i | 1.61338 | + | 0.718324i | ||||
\(818\) | 5.92792 | − | 6.58362i | 0.207265 | − | 0.230191i | ||||
\(819\) | 0.0370234 | + | 0.276278i | 0.00129370 | + | 0.00965393i | ||||
\(820\) | −5.11535 | + | 48.6693i | −0.178636 | + | 1.69961i | ||||
\(821\) | 2.17050 | + | 2.41058i | 0.0757508 | + | 0.0841298i | 0.779829 | − | 0.625993i | \(-0.215306\pi\) |
−0.704078 | + | 0.710123i | \(0.748639\pi\) | |||||||
\(822\) | 4.14377 | + | 4.60212i | 0.144531 | + | 0.160517i | ||||
\(823\) | 35.6951 | − | 15.8925i | 1.24425 | − | 0.553976i | 0.324280 | − | 0.945961i | \(-0.394878\pi\) |
0.919972 | + | 0.391985i | \(0.128211\pi\) | |||||||
\(824\) | 3.05572 | + | 3.39372i | 0.106451 | + | 0.118226i | ||||
\(825\) | 97.4064 | + | 20.7044i | 3.39126 | + | 0.720834i | ||||
\(826\) | −0.00710924 | + | 0.00516516i | −0.000247362 | + | 0.000179719i | ||||
\(827\) | 23.9107 | + | 5.08238i | 0.831457 | + | 0.176732i | 0.603927 | − | 0.797040i | \(-0.293602\pi\) |
0.227530 | + | 0.973771i | \(0.426935\pi\) | |||||||
\(828\) | −10.8382 | − | 7.87440i | −0.376653 | − | 0.273654i | ||||
\(829\) | 26.3897 | − | 11.7495i | 0.916553 | − | 0.408076i | 0.106420 | − | 0.994321i | \(-0.466061\pi\) |
0.810133 | + | 0.586246i | \(0.199395\pi\) | |||||||
\(830\) | −2.75838 | + | 2.00408i | −0.0957449 | + | 0.0695627i | ||||
\(831\) | 20.0584 | + | 34.7421i | 0.695818 | + | 1.20519i | ||||
\(832\) | 19.5584 | + | 13.3756i | 0.678066 | + | 0.463715i | ||||
\(833\) | 13.9224 | − | 10.1152i | 0.482383 | − | 0.350472i | ||||
\(834\) | −2.91262 | + | 8.96412i | −0.100856 | + | 0.310402i | ||||
\(835\) | −66.2683 | − | 14.0858i | −2.29331 | − | 0.487458i | ||||
\(836\) | −29.6862 | − | 51.4180i | −1.02672 | − | 1.77833i | ||||
\(837\) | 0.831630 | + | 0.875116i | 0.0287453 | + | 0.0302484i | ||||
\(838\) | 0.674591 | + | 1.16843i | 0.0233034 | + | 0.0403626i | ||||
\(839\) | 17.3371 | − | 19.2548i | 0.598544 | − | 0.664751i | −0.365401 | − | 0.930850i | \(-0.619068\pi\) |
0.963946 | + | 0.266099i | \(0.0857349\pi\) | |||||||
\(840\) | 0.197701 | − | 0.0420226i | 0.00682132 | − | 0.00144992i | ||||
\(841\) | 21.4055 | + | 9.53034i | 0.738121 | + | 0.328632i | ||||
\(842\) | −2.59913 | − | 4.50182i | −0.0895718 | − | 0.155143i | ||||
\(843\) | −66.3329 | −2.28463 | ||||||||
\(844\) | 17.7587 | + | 7.90670i | 0.611281 | + | 0.272160i | ||||
\(845\) | 31.0441 | + | 30.7581i | 1.06795 | + | 1.05811i | ||||
\(846\) | −4.80460 | + | 2.13915i | −0.165186 | + | 0.0735454i | ||||
\(847\) | −0.503153 | + | 0.558808i | −0.0172885 | + | 0.0192009i | ||||
\(848\) | −7.54877 | − | 3.36093i | −0.259226 | − | 0.115415i | ||||
\(849\) | −7.13720 | − | 1.51706i | −0.244948 | − | 0.0520653i | ||||
\(850\) | −2.56124 | − | 2.84454i | −0.0878497 | − | 0.0975670i | ||||
\(851\) | 4.28845 | − | 1.90934i | 0.147006 | − | 0.0654513i | ||||
\(852\) | −2.73008 | + | 0.580297i | −0.0935310 | + | 0.0198806i | ||||
\(853\) | 1.04081 | − | 3.20328i | 0.0356366 | − | 0.109678i | −0.931656 | − | 0.363342i | \(-0.881636\pi\) |
0.967292 | + | 0.253664i | \(0.0816357\pi\) | |||||||
\(854\) | 0.0404590 | − | 0.0180135i | 0.00138448 | − | 0.000616410i | ||||
\(855\) | −48.5359 | + | 10.3166i | −1.65989 | + | 0.352821i | ||||
\(856\) | −1.08961 | − | 3.35347i | −0.0372420 | − | 0.114619i | ||||
\(857\) | 3.98147 | + | 37.8812i | 0.136004 | + | 1.29400i | 0.823295 | + | 0.567613i | \(0.192133\pi\) |
−0.687291 | + | 0.726382i | \(0.741200\pi\) | |||||||
\(858\) | 3.96799 | − | 13.5105i | 0.135465 | − | 0.461240i | ||||
\(859\) | 37.9886 | − | 16.9136i | 1.29616 | − | 0.577086i | 0.361411 | − | 0.932407i | \(-0.382295\pi\) |
0.934744 | + | 0.355321i | \(0.115628\pi\) | |||||||
\(860\) | −62.8804 | + | 27.9962i | −2.14420 | + | 0.954661i | ||||
\(861\) | −0.375228 | + | 0.272619i | −0.0127877 | + | 0.00929083i | ||||
\(862\) | 1.22009 | − | 2.11326i | 0.0415566 | − | 0.0719781i | ||||
\(863\) | −7.38536 | + | 12.7918i | −0.251401 | + | 0.435439i | −0.963912 | − | 0.266222i | \(-0.914225\pi\) |
0.712511 | + | 0.701661i | \(0.247558\pi\) | |||||||
\(864\) | −0.563612 | − | 0.250936i | −0.0191745 | − | 0.00853703i | ||||
\(865\) | 8.87681 | + | 9.85870i | 0.301821 | + | 0.335206i | ||||
\(866\) | −1.56522 | − | 4.81724i | −0.0531883 | − | 0.163697i | ||||
\(867\) | 13.5150 | + | 23.4086i | 0.458993 | + | 0.794999i | ||||
\(868\) | −0.265796 | − | 0.0490681i | −0.00902171 | − | 0.00166548i | ||||
\(869\) | −23.3185 | + | 40.3887i | −0.791024 | + | 1.37009i | ||||
\(870\) | 4.58587 | + | 14.1139i | 0.155476 | + | 0.478505i | ||||
\(871\) | 47.2247 | + | 19.4332i | 1.60015 | + | 0.658468i | ||||
\(872\) | −11.3618 | + | 8.25484i | −0.384760 | + | 0.279544i | ||||
\(873\) | 8.33979 | + | 14.4449i | 0.282259 | + | 0.488887i | ||||
\(874\) | 2.64292 | 0.0893980 | ||||||||
\(875\) | 0.0114419 | + | 0.108862i | 0.000386805 | + | 0.00368021i | ||||
\(876\) | −33.7816 | − | 24.5437i | −1.14137 | − | 0.829256i | ||||
\(877\) | 7.12139 | + | 5.17399i | 0.240472 | + | 0.174713i | 0.701494 | − | 0.712676i | \(-0.252517\pi\) |
−0.461021 | + | 0.887389i | \(0.652517\pi\) | |||||||
\(878\) | −1.46432 | − | 4.50671i | −0.0494183 | − | 0.152094i | ||||
\(879\) | −0.688696 | − | 6.55250i | −0.0232291 | − | 0.221010i | ||||
\(880\) | 76.6153 | + | 16.2851i | 2.58270 | + | 0.548970i | ||||
\(881\) | 17.4342 | − | 3.70575i | 0.587373 | − | 0.124850i | 0.0953675 | − | 0.995442i | \(-0.469597\pi\) |
0.492005 | + | 0.870592i | \(0.336264\pi\) | |||||||
\(882\) | −4.32055 | − | 3.13906i | −0.145480 | − | 0.105698i | ||||
\(883\) | −11.3482 | + | 34.9262i | −0.381898 | + | 1.17536i | 0.556808 | + | 0.830641i | \(0.312026\pi\) |
−0.938706 | + | 0.344719i | \(0.887974\pi\) | |||||||
\(884\) | 13.6122 | − | 10.4952i | 0.457828 | − | 0.352990i | ||||
\(885\) | −1.23152 | + | 11.7171i | −0.0413972 | + | 0.393868i | ||||
\(886\) | −4.54978 | + | 0.967086i | −0.152853 | + | 0.0324899i | ||||
\(887\) | 17.4404 | + | 53.6759i | 0.585590 | + | 1.80226i | 0.596889 | + | 0.802324i | \(0.296403\pi\) |
−0.0112995 | + | 0.999936i | \(0.503597\pi\) | |||||||
\(888\) | 4.07595 | − | 2.96135i | 0.136780 | − | 0.0993764i | ||||
\(889\) | −0.285252 | − | 0.0606322i | −0.00956705 | − | 0.00203354i | ||||
\(890\) | −10.6736 | − | 7.75486i | −0.357782 | − | 0.259943i | ||||
\(891\) | −5.84456 | + | 55.6073i | −0.195800 | + | 1.86291i | ||||
\(892\) | −18.8345 | − | 8.38565i | −0.630625 | − | 0.280772i | ||||
\(893\) | −16.4749 | + | 28.5354i | −0.551313 | + | 0.954902i | ||||
\(894\) | 0.804031 | + | 1.39262i | 0.0268908 | + | 0.0465763i | ||||
\(895\) | −8.24944 | − | 78.4881i | −0.275748 | − | 2.62357i | ||||
\(896\) | 0.179131 | − | 0.0380755i | 0.00598435 | − | 0.00127201i | ||||
\(897\) | −13.7356 | − | 14.4074i | −0.458618 | − | 0.481048i | ||||
\(898\) | 0.683168 | 0.0227976 | ||||||||
\(899\) | 3.13474 | − | 40.1938i | 0.104550 | − | 1.34054i | ||||
\(900\) | 18.8615 | − | 32.6690i | 0.628715 | − | 1.08897i | ||||
\(901\) | −3.73736 | + | 4.15075i | −0.124509 | + | 0.138282i | ||||
\(902\) | 11.6242 | − | 2.47079i | 0.387042 | − | 0.0822684i | ||||
\(903\) | −0.595953 | − | 0.265335i | −0.0198321 | − | 0.00882981i | ||||
\(904\) | −4.19594 | −0.139555 | ||||||||
\(905\) | −10.4194 | − | 18.0469i | −0.346352 | − | 0.599900i | ||||
\(906\) | 1.14260 | + | 10.8711i | 0.0379602 | + | 0.361168i | ||||
\(907\) | 0.333895 | − | 0.148659i | 0.0110868 | − | 0.00493616i | −0.401186 | − | 0.915997i | \(-0.631402\pi\) |
0.412273 | + | 0.911061i | \(0.364735\pi\) | |||||||
\(908\) | −2.81271 | + | 26.7611i | −0.0933429 | + | 0.888099i | ||||
\(909\) | −9.98179 | − | 2.12169i | −0.331075 | − | 0.0703722i | ||||
\(910\) | 0.0749526 | − | 0.00213630i | 0.00248465 | − | 7.08178e-5i | ||||
\(911\) | −28.3458 | + | 31.4812i | −0.939139 | + | 1.04302i | 0.0598565 | + | 0.998207i | \(0.480936\pi\) |
−0.998995 | + | 0.0448124i | \(0.985731\pi\) | |||||||
\(912\) | −41.9640 | + | 8.91971i | −1.38957 | + | 0.295361i | ||||
\(913\) | −21.2722 | − | 15.4552i | −0.704009 | − | 0.511492i | ||||
\(914\) | −2.79394 | + | 0.593870i | −0.0924153 | + | 0.0196435i | ||||
\(915\) | 18.3489 | − | 56.4721i | 0.606596 | − | 1.86691i | ||||
\(916\) | −39.9911 | + | 17.8052i | −1.32134 | + | 0.588300i | ||||
\(917\) | −0.0350383 | + | 0.107837i | −0.00115707 | + | 0.00356109i | ||||
\(918\) | −0.0881423 | + | 0.0978920i | −0.00290913 | + | 0.00323092i | ||||
\(919\) | 4.56827 | − | 3.31905i | 0.150693 | − | 0.109485i | −0.509884 | − | 0.860243i | \(-0.670312\pi\) |
0.660577 | + | 0.750758i | \(0.270312\pi\) | |||||||
\(920\) | −4.89865 | + | 5.44050i | −0.161504 | + | 0.179368i | ||||
\(921\) | 3.10488 | − | 29.5410i | 0.102309 | − | 0.973409i | ||||
\(922\) | −7.31144 | − | 5.31207i | −0.240789 | − | 0.174944i | ||||
\(923\) | −2.10266 | + | 0.0599301i | −0.0692097 | + | 0.00197262i | ||||
\(924\) | 0.383635 | + | 0.664475i | 0.0126207 | + | 0.0218596i | ||||
\(925\) | 6.60916 | + | 11.4474i | 0.217308 | + | 0.376388i | ||||
\(926\) | 0.464985 | + | 4.42404i | 0.0152804 | + | 0.145383i | ||||
\(927\) | 9.69464 | + | 10.7670i | 0.318414 | + | 0.353634i | ||||
\(928\) | 6.36669 | + | 19.5947i | 0.208997 | + | 0.643226i | ||||
\(929\) | 20.4051 | + | 35.3427i | 0.669470 | + | 1.15956i | 0.978052 | + | 0.208359i | \(0.0668122\pi\) |
−0.308582 | + | 0.951198i | \(0.599854\pi\) | |||||||
\(930\) | 9.04808 | − | 6.95300i | 0.296698 | − | 0.227998i | ||||
\(931\) | −33.4586 | −1.09656 | ||||||||
\(932\) | −5.29908 | + | 5.88522i | −0.173577 | + | 0.192777i | ||||
\(933\) | −14.6472 | + | 45.0795i | −0.479528 | + | 1.47584i | ||||
\(934\) | 0.117599 | + | 1.11888i | 0.00384796 | + | 0.0366109i | ||||
\(935\) | 26.4721 | − | 45.8510i | 0.865731 | − | 1.49949i | ||||
\(936\) | −8.94450 | − | 6.11695i | −0.292360 | − | 0.199939i | ||||
\(937\) | −4.81247 | − | 2.14265i | −0.157217 | − | 0.0699974i | 0.326620 | − | 0.945156i | \(-0.394090\pi\) |
−0.483836 | + | 0.875158i | \(0.660757\pi\) | |||||||
\(938\) | 0.0800457 | − | 0.0356386i | 0.00261359 | − | 0.00116364i | ||||
\(939\) | 5.07237 | − | 48.2604i | 0.165530 | − | 1.57492i | ||||
\(940\) | −13.8836 | − | 42.7295i | −0.452835 | − | 1.39368i | ||||
\(941\) | −0.335906 | − | 3.19593i | −0.0109502 | − | 0.104184i | 0.987682 | − | 0.156477i | \(-0.0500137\pi\) |
−0.998632 | + | 0.0522928i | \(0.983347\pi\) | |||||||
\(942\) | 4.05700 | + | 0.862342i | 0.132184 | + | 0.0280966i | ||||
\(943\) | 5.19136 | − | 15.9774i | 0.169054 | − | 0.520294i | ||||
\(944\) | −0.540069 | + | 5.13842i | −0.0175778 | + | 0.167241i | ||||
\(945\) | 0.0178504 | − | 0.00379422i | 0.000580674 | − | 0.000123426i | ||||
\(946\) | 11.1844 | + | 12.4215i | 0.363636 | + | 0.403859i | ||||
\(947\) | −23.4314 | − | 17.0239i | −0.761419 | − | 0.553203i | 0.137926 | − | 0.990442i | \(-0.455956\pi\) |
−0.899345 | + | 0.437239i | \(0.855956\pi\) | |||||||
\(948\) | 23.3060 | + | 25.8840i | 0.756945 | + | 0.840672i | ||||
\(949\) | −21.7152 | − | 22.7773i | −0.704906 | − | 0.739381i | ||||
\(950\) | 0.777901 | + | 7.40123i | 0.0252384 | + | 0.240128i | ||||
\(951\) | 38.0542 | − | 42.2634i | 1.23399 | − | 1.37049i | ||||
\(952\) | 0.00626258 | − | 0.0595845i | 0.000202971 | − | 0.00193114i | ||||
\(953\) | 2.22481 | − | 21.1676i | 0.0720686 | − | 0.685687i | −0.897525 | − | 0.440964i | \(-0.854636\pi\) |
0.969593 | − | 0.244722i | \(-0.0786968\pi\) | |||||||
\(954\) | 1.58346 | + | 0.705003i | 0.0512665 | + | 0.0228253i | ||||
\(955\) | −16.9223 | + | 29.3102i | −0.547592 | + | 0.948457i | ||||
\(956\) | 11.6413 | 0.376507 | ||||||||
\(957\) | −92.5883 | + | 67.2694i | −2.99296 | + | 2.17451i | ||||
\(958\) | 0.903117 | + | 1.00301i | 0.0291784 | + | 0.0324059i | ||||
\(959\) | −0.248756 | − | 0.0528747i | −0.00803275 | − | 0.00170741i | ||||
\(960\) | 27.2541 | − | 47.2055i | 0.879623 | − | 1.52355i | ||||
\(961\) | −29.9323 | + | 8.06570i | −0.965559 | + | 0.260184i | ||||
\(962\) | 1.68514 | − | 0.808565i | 0.0543312 | − | 0.0260692i | ||||
\(963\) | −3.45692 | − | 10.6393i | −0.111398 | − | 0.342846i | ||||
\(964\) | −7.96373 | + | 24.5098i | −0.256494 | + | 0.789409i | ||||
\(965\) | −1.92200 | − | 18.2867i | −0.0618715 | − | 0.588668i | ||||
\(966\) | −0.0341545 | −0.00109890 | ||||||||
\(967\) | 15.6030 | + | 27.0251i | 0.501758 | + | 0.869070i | 0.999998 | + | 0.00203076i | \(0.000646412\pi\) |
−0.498240 | + | 0.867039i | \(0.666020\pi\) | |||||||
\(968\) | −3.05552 | − | 29.0714i | −0.0982082 | − | 0.934389i | ||||
\(969\) | −3.03119 | + | 28.8399i | −0.0973760 | + | 0.926471i | ||||
\(970\) | 4.09890 | − | 1.82495i | 0.131608 | − | 0.0585955i | ||||
\(971\) | −12.1536 | − | 37.4050i | −0.390029 | − | 1.20038i | −0.932766 | − | 0.360482i | \(-0.882612\pi\) |
0.542737 | − | 0.839902i | \(-0.317388\pi\) | |||||||
\(972\) | 39.3005 | + | 17.4977i | 1.26056 | + | 0.561240i | ||||
\(973\) | −0.119610 | − | 0.368123i | −0.00383453 | − | 0.0118015i | ||||
\(974\) | 3.04084 | + | 3.37720i | 0.0974349 | + | 0.108212i | ||||
\(975\) | 36.3035 | − | 42.7057i | 1.16264 | − | 1.36768i | ||||
\(976\) | 8.04669 | − | 24.7652i | 0.257568 | − | 0.792714i | ||||
\(977\) | −13.2349 | − | 14.6988i | −0.423421 | − | 0.470257i | 0.493257 | − | 0.869884i | \(-0.335806\pi\) |
−0.916678 | + | 0.399627i | \(0.869140\pi\) | |||||||
\(978\) | −6.34324 | − | 4.60863i | −0.202834 | − | 0.147368i | ||||
\(979\) | 31.4410 | − | 96.7655i | 1.00486 | − | 3.09264i | ||||
\(980\) | 30.5271 | − | 33.9038i | 0.975152 | − | 1.08302i | ||||
\(981\) | −36.0468 | + | 26.1895i | −1.15088 | + | 0.836167i | ||||
\(982\) | 0.957632 | + | 2.94729i | 0.0305593 | + | 0.0940518i | ||||
\(983\) | −5.82590 | + | 2.59386i | −0.185818 | + | 0.0827313i | −0.497536 | − | 0.867443i | \(-0.665762\pi\) |
0.311719 | + | 0.950174i | \(0.399095\pi\) | |||||||
\(984\) | 1.88467 | − | 17.9314i | 0.0600809 | − | 0.571632i | ||||
\(985\) | −8.85501 | + | 6.43354i | −0.282144 | + | 0.204990i | ||||
\(986\) | 4.39901 | 0.140093 | ||||||||
\(987\) | 0.212906 | − | 0.368764i | 0.00677687 | − | 0.0117379i | ||||
\(988\) | −33.4048 | + | 0.952108i | −1.06275 | + | 0.0302906i | ||||
\(989\) | 23.1125 | − | 4.91272i | 0.734936 | − | 0.156215i | ||||
\(990\) | −16.0711 | − | 3.41603i | −0.510775 | − | 0.108568i | ||||
\(991\) | 14.4454 | − | 25.0202i | 0.458873 | − | 0.794792i | −0.540028 | − | 0.841647i | \(-0.681586\pi\) |
0.998902 | + | 0.0468548i | \(0.0149198\pi\) | |||||||
\(992\) | 12.5617 | − | 9.65304i | 0.398834 | − | 0.306484i | ||||
\(993\) | −1.48220 | −0.0470361 | ||||||||
\(994\) | −0.00241504 | + | 0.00268218i | −7.66005e−5 | + | 8.50734e-5i | ||||
\(995\) | −23.6622 | − | 26.2796i | −0.750144 | − | 0.833119i | ||||
\(996\) | −15.8870 | + | 11.5426i | −0.503398 | + | 0.365740i | ||||
\(997\) | −50.1824 | −1.58929 | −0.794646 | − | 0.607073i | \(-0.792343\pi\) | ||||
−0.794646 | + | 0.607073i | \(0.792343\pi\) | |||||||
\(998\) | −5.03206 | −0.159287 | ||||||||
\(999\) | 0.368017 | − | 0.267380i | 0.0116435 | − | 0.00845953i |
(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 | 403.2.bj.a.100.21 | ✓ | 280 | |
13.3 | even | 3 | 403.2.bk.a.224.15 | yes | 280 | ||
31.9 | even | 15 | 403.2.bk.a.9.15 | yes | 280 | ||
403.133 | even | 15 | inner | 403.2.bj.a.133.21 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bj.a.100.21 | ✓ | 280 | 1.1 | even | 1 | trivial | |
403.2.bj.a.133.21 | yes | 280 | 403.133 | even | 15 | inner | |
403.2.bk.a.9.15 | yes | 280 | 31.9 | even | 15 | ||
403.2.bk.a.224.15 | yes | 280 | 13.3 | even | 3 |