Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 139.2 | ||
Character | \(\chi\) | \(=\) | 354.139 |
Dual form | 354.2.e.a.163.2 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{5}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.856857 | − | 0.515554i | −0.605890 | − | 0.364552i | ||||
\(3\) | −0.370138 | + | 0.928977i | −0.213699 | + | 0.536345i | ||||
\(4\) | 0.468408 | + | 0.883512i | 0.234204 | + | 0.441756i | ||||
\(5\) | 3.11390 | + | 0.338657i | 1.39258 | + | 0.151452i | 0.773460 | − | 0.633845i | \(-0.218524\pi\) |
0.619120 | + | 0.785297i | \(0.287490\pi\) | |||||||
\(6\) | 0.796093 | − | 0.605174i | 0.325004 | − | 0.247061i | ||||
\(7\) | 2.05914 | + | 0.693803i | 0.778280 | + | 0.262233i | 0.680279 | − | 0.732953i | \(-0.261859\pi\) |
0.0980009 | + | 0.995186i | \(0.468755\pi\) | |||||||
\(8\) | 0.0541389 | − | 0.998533i | 0.0191410 | − | 0.353035i | ||||
\(9\) | −0.725995 | − | 0.687699i | −0.241998 | − | 0.229233i | ||||
\(10\) | −2.49357 | − | 1.89557i | −0.788537 | − | 0.599431i | ||||
\(11\) | −0.557034 | − | 0.821564i | −0.167952 | − | 0.247711i | 0.734394 | − | 0.678724i | \(-0.237467\pi\) |
−0.902346 | + | 0.431013i | \(0.858156\pi\) | |||||||
\(12\) | −0.994138 | + | 0.108119i | −0.286983 | + | 0.0312113i | ||||
\(13\) | −1.28635 | + | 1.21850i | −0.356771 | + | 0.337951i | −0.845002 | − | 0.534763i | \(-0.820401\pi\) |
0.488231 | + | 0.872714i | \(0.337642\pi\) | |||||||
\(14\) | −1.40669 | − | 1.65609i | −0.375954 | − | 0.442607i | ||||
\(15\) | −1.46718 | + | 2.76739i | −0.378824 | + | 0.714538i | ||||
\(16\) | −0.561187 | + | 0.827689i | −0.140297 | + | 0.206922i | ||||
\(17\) | 1.74059 | − | 0.586475i | 0.422156 | − | 0.142241i | −0.100202 | − | 0.994967i | \(-0.531949\pi\) |
0.522358 | + | 0.852726i | \(0.325052\pi\) | |||||||
\(18\) | 0.267528 | + | 0.963550i | 0.0630570 | + | 0.227111i | ||||
\(19\) | −0.606126 | + | 3.69721i | −0.139055 | + | 0.848197i | 0.821521 | + | 0.570179i | \(0.193126\pi\) |
−0.960576 | + | 0.278019i | \(0.910322\pi\) | |||||||
\(20\) | 1.15937 | + | 2.90980i | 0.259243 | + | 0.650651i | ||||
\(21\) | −1.40669 | + | 1.65609i | −0.306965 | + | 0.361387i | ||||
\(22\) | 0.0537383 | + | 0.991144i | 0.0114570 | + | 0.211313i | ||||
\(23\) | 0.574951 | − | 2.07079i | 0.119886 | − | 0.431789i | −0.879109 | − | 0.476621i | \(-0.841861\pi\) |
0.998995 | + | 0.0448320i | \(0.0142752\pi\) | |||||||
\(24\) | 0.907575 | + | 0.419889i | 0.185258 | + | 0.0857095i | ||||
\(25\) | 4.69860 | + | 1.03424i | 0.939721 | + | 0.206848i | ||||
\(26\) | 1.73042 | − | 0.380895i | 0.339364 | − | 0.0746997i | ||||
\(27\) | 0.907575 | − | 0.419889i | 0.174663 | − | 0.0808077i | ||||
\(28\) | 0.351533 | + | 2.14425i | 0.0664334 | + | 0.405226i | ||||
\(29\) | 6.78229 | − | 4.08077i | 1.25944 | − | 0.757779i | 0.280093 | − | 0.959973i | \(-0.409635\pi\) |
0.979346 | + | 0.202193i | \(0.0648070\pi\) | |||||||
\(30\) | 2.68390 | − | 1.61485i | 0.490012 | − | 0.294830i | ||||
\(31\) | 0.950438 | + | 5.79742i | 0.170704 | + | 1.04125i | 0.923670 | + | 0.383188i | \(0.125174\pi\) |
−0.752967 | + | 0.658059i | \(0.771378\pi\) | |||||||
\(32\) | 0.907575 | − | 0.419889i | 0.160438 | − | 0.0742266i | ||||
\(33\) | 0.969393 | − | 0.213380i | 0.168750 | − | 0.0371446i | ||||
\(34\) | −1.79380 | − | 0.394845i | −0.307634 | − | 0.0677154i | ||||
\(35\) | 6.17699 | + | 2.85778i | 1.04410 | + | 0.483053i | ||||
\(36\) | 0.267528 | − | 0.963550i | 0.0445881 | − | 0.160592i | ||||
\(37\) | 0.0190960 | + | 0.352205i | 0.00313936 | + | 0.0579021i | 0.999683 | − | 0.0251651i | \(-0.00801115\pi\) |
−0.996544 | + | 0.0830672i | \(0.973528\pi\) | |||||||
\(38\) | 2.42547 | − | 2.85549i | 0.393464 | − | 0.463221i | ||||
\(39\) | −0.655829 | − | 1.64601i | −0.105017 | − | 0.263572i | ||||
\(40\) | 0.506744 | − | 3.09100i | 0.0801233 | − | 0.488730i | ||||
\(41\) | 0.700608 | + | 2.52336i | 0.109417 | + | 0.394083i | 0.997896 | − | 0.0648334i | \(-0.0206516\pi\) |
−0.888480 | + | 0.458916i | \(0.848238\pi\) | |||||||
\(42\) | 2.05914 | − | 0.693803i | 0.317731 | − | 0.107056i | ||||
\(43\) | −1.72676 | + | 2.54679i | −0.263329 | + | 0.388381i | −0.936251 | − | 0.351332i | \(-0.885729\pi\) |
0.672922 | + | 0.739714i | \(0.265039\pi\) | |||||||
\(44\) | 0.464942 | − | 0.876974i | 0.0700927 | − | 0.132209i | ||||
\(45\) | −2.02779 | − | 2.38729i | −0.302284 | − | 0.355877i | ||||
\(46\) | −1.56025 | + | 1.47795i | −0.230047 | + | 0.217912i | ||||
\(47\) | −7.75183 | + | 0.843062i | −1.13072 | + | 0.122973i | −0.654294 | − | 0.756241i | \(-0.727034\pi\) |
−0.476427 | + | 0.879214i | \(0.658068\pi\) | |||||||
\(48\) | −0.561187 | − | 0.827689i | −0.0810004 | − | 0.119467i | ||||
\(49\) | −1.81398 | − | 1.37895i | −0.259140 | − | 0.196993i | ||||
\(50\) | −3.49283 | − | 3.30858i | −0.493960 | − | 0.467904i | ||||
\(51\) | −0.0994392 | + | 1.83405i | −0.0139243 | + | 0.256818i | ||||
\(52\) | −1.67910 | − | 0.565754i | −0.232849 | − | 0.0784560i | ||||
\(53\) | 9.67245 | − | 7.35281i | 1.32861 | − | 1.00999i | 0.330813 | − | 0.943696i | \(-0.392677\pi\) |
0.997800 | − | 0.0662898i | \(-0.0211162\pi\) | |||||||
\(54\) | −0.994138 | − | 0.108119i | −0.135285 | − | 0.0147131i | ||||
\(55\) | −1.45632 | − | 2.74691i | −0.196370 | − | 0.370394i | ||||
\(56\) | 0.804265 | − | 2.01855i | 0.107474 | − | 0.269741i | ||||
\(57\) | −3.21027 | − | 1.93155i | −0.425210 | − | 0.255841i | ||||
\(58\) | −7.91531 | −1.03933 | ||||||||
\(59\) | −7.65953 | − | 0.575876i | −0.997186 | − | 0.0749727i | ||||
\(60\) | −3.13227 | −0.404374 | ||||||||
\(61\) | 1.81807 | + | 1.09390i | 0.232780 | + | 0.140059i | 0.627166 | − | 0.778886i | \(-0.284215\pi\) |
−0.394385 | + | 0.918945i | \(0.629042\pi\) | |||||||
\(62\) | 2.17449 | − | 5.45756i | 0.276161 | − | 0.693111i | ||||
\(63\) | −1.01779 | − | 1.91976i | −0.128230 | − | 0.241868i | ||||
\(64\) | −0.994138 | − | 0.108119i | −0.124267 | − | 0.0135149i | ||||
\(65\) | −4.41824 | + | 3.35866i | −0.548015 | + | 0.416590i | ||||
\(66\) | −0.940640 | − | 0.316939i | −0.115785 | − | 0.0390124i | ||||
\(67\) | −0.708395 | + | 13.0656i | −0.0865443 | + | 1.59622i | 0.556805 | + | 0.830643i | \(0.312027\pi\) |
−0.643350 | + | 0.765572i | \(0.722456\pi\) | |||||||
\(68\) | 1.33347 | + | 1.26313i | 0.161707 | + | 0.153177i | ||||
\(69\) | 1.71090 | + | 1.30059i | 0.205968 | + | 0.156573i | ||||
\(70\) | −3.81946 | − | 5.63328i | −0.456512 | − | 0.673305i | ||||
\(71\) | 6.21527 | − | 0.675951i | 0.737616 | − | 0.0802206i | 0.268405 | − | 0.963306i | \(-0.413504\pi\) |
0.469212 | + | 0.883086i | \(0.344538\pi\) | |||||||
\(72\) | −0.725995 | + | 0.687699i | −0.0855594 | + | 0.0810462i | ||||
\(73\) | −10.6342 | − | 12.5196i | −1.24464 | − | 1.46530i | −0.832351 | − | 0.554249i | \(-0.813005\pi\) |
−0.412289 | − | 0.911053i | \(-0.635270\pi\) | |||||||
\(74\) | 0.165218 | − | 0.311634i | 0.0192062 | − | 0.0362267i | ||||
\(75\) | −2.69992 | + | 3.98208i | −0.311760 | + | 0.459811i | ||||
\(76\) | −3.55044 | + | 1.19628i | −0.407264 | + | 0.137223i | ||||
\(77\) | −0.577005 | − | 2.07818i | −0.0657558 | − | 0.236831i | ||||
\(78\) | −0.286653 | + | 1.74851i | −0.0324571 | + | 0.197980i | ||||
\(79\) | −2.39183 | − | 6.00303i | −0.269102 | − | 0.675394i | 0.730873 | − | 0.682513i | \(-0.239113\pi\) |
−0.999975 | + | 0.00711944i | \(0.997734\pi\) | |||||||
\(80\) | −2.02779 | + | 2.38729i | −0.226713 | + | 0.266908i | ||||
\(81\) | 0.0541389 | + | 0.998533i | 0.00601543 | + | 0.110948i | ||||
\(82\) | 0.700608 | − | 2.52336i | 0.0773692 | − | 0.278659i | ||||
\(83\) | −14.3587 | − | 6.64306i | −1.57608 | − | 0.729170i | −0.579748 | − | 0.814796i | \(-0.696849\pi\) |
−0.996327 | + | 0.0856253i | \(0.972711\pi\) | |||||||
\(84\) | −2.12208 | − | 0.467105i | −0.231538 | − | 0.0509653i | ||||
\(85\) | 5.61866 | − | 1.23676i | 0.609429 | − | 0.134145i | ||||
\(86\) | 2.79260 | − | 1.29199i | 0.301133 | − | 0.139319i | ||||
\(87\) | 1.28055 | + | 7.81103i | 0.137290 | + | 0.837431i | ||||
\(88\) | −0.850516 | + | 0.511739i | −0.0906653 | + | 0.0545515i | ||||
\(89\) | 3.03286 | − | 1.82481i | 0.321482 | − | 0.193430i | −0.345660 | − | 0.938360i | \(-0.612345\pi\) |
0.667142 | + | 0.744930i | \(0.267517\pi\) | |||||||
\(90\) | 0.506744 | + | 3.09100i | 0.0534155 | + | 0.325820i | ||||
\(91\) | −3.49418 | + | 1.61658i | −0.366289 | + | 0.169463i | ||||
\(92\) | 2.09888 | − | 0.461998i | 0.218823 | − | 0.0481666i | ||||
\(93\) | −5.73746 | − | 1.26291i | −0.594947 | − | 0.130958i | ||||
\(94\) | 7.07686 | + | 3.27410i | 0.729922 | + | 0.337698i | ||||
\(95\) | −3.13951 | + | 11.3075i | −0.322106 | + | 1.16012i | ||||
\(96\) | 0.0541389 | + | 0.998533i | 0.00552553 | + | 0.101912i | ||||
\(97\) | 5.06980 | − | 5.96863i | 0.514760 | − | 0.606022i | −0.441959 | − | 0.897035i | \(-0.645716\pi\) |
0.956719 | + | 0.291013i | \(0.0939922\pi\) | |||||||
\(98\) | 0.843397 | + | 2.11677i | 0.0851959 | + | 0.213826i | ||||
\(99\) | −0.160585 | + | 0.979524i | −0.0161394 | + | 0.0984458i | ||||
\(100\) | 1.28710 | + | 4.63572i | 0.128710 | + | 0.463572i | ||||
\(101\) | −9.42406 | + | 3.17534i | −0.937729 | + | 0.315958i | −0.746346 | − | 0.665558i | \(-0.768194\pi\) |
−0.191383 | + | 0.981515i | \(0.561297\pi\) | |||||||
\(102\) | 1.03076 | − | 1.52025i | 0.102060 | − | 0.150527i | ||||
\(103\) | 4.25593 | − | 8.02754i | 0.419350 | − | 0.790977i | −0.580377 | − | 0.814348i | \(-0.697095\pi\) |
0.999727 | + | 0.0233704i | \(0.00743971\pi\) | |||||||
\(104\) | 1.14707 | + | 1.35044i | 0.112480 | + | 0.132421i | ||||
\(105\) | −4.94115 | + | 4.68050i | −0.482207 | + | 0.456770i | ||||
\(106\) | −12.0787 | + | 1.31364i | −1.17319 | + | 0.127592i | ||||
\(107\) | −4.43868 | − | 6.54657i | −0.429104 | − | 0.632880i | 0.550258 | − | 0.834994i | \(-0.314529\pi\) |
−0.979362 | + | 0.202114i | \(0.935219\pi\) | |||||||
\(108\) | 0.796093 | + | 0.605174i | 0.0766041 | + | 0.0582329i | ||||
\(109\) | 6.22711 | + | 5.89863i | 0.596449 | + | 0.564987i | 0.925224 | − | 0.379422i | \(-0.123877\pi\) |
−0.328775 | + | 0.944408i | \(0.606636\pi\) | |||||||
\(110\) | −0.168322 | + | 3.10453i | −0.0160489 | + | 0.296005i | ||||
\(111\) | −0.334258 | − | 0.112625i | −0.0317264 | − | 0.0106899i | ||||
\(112\) | −1.72981 | + | 1.31497i | −0.163452 | + | 0.124253i | ||||
\(113\) | −11.2608 | − | 1.22469i | −1.05933 | − | 0.115209i | −0.438169 | − | 0.898893i | \(-0.644373\pi\) |
−0.621160 | + | 0.783684i | \(0.713338\pi\) | |||||||
\(114\) | 1.75492 | + | 3.31013i | 0.164363 | + | 0.310022i | ||||
\(115\) | 2.49163 | − | 6.25352i | 0.232346 | − | 0.583144i | ||||
\(116\) | 6.78229 | + | 4.08077i | 0.629720 | + | 0.378890i | ||||
\(117\) | 1.77185 | 0.163808 | ||||||||
\(118\) | 6.26623 | + | 4.44234i | 0.576853 | + | 0.408951i | ||||
\(119\) | 3.99102 | 0.365856 | ||||||||
\(120\) | 2.68390 | + | 1.61485i | 0.245006 | + | 0.147415i | ||||
\(121\) | 3.70684 | − | 9.30347i | 0.336985 | − | 0.845770i | ||||
\(122\) | −0.993866 | − | 1.87463i | −0.0899804 | − | 0.169721i | ||||
\(123\) | −2.60347 | − | 0.283144i | −0.234747 | − | 0.0255302i | ||||
\(124\) | −4.67689 | + | 3.55528i | −0.419998 | + | 0.319274i | ||||
\(125\) | −0.560758 | − | 0.188941i | −0.0501557 | − | 0.0168994i | ||||
\(126\) | −0.117637 | + | 2.16969i | −0.0104800 | + | 0.193291i | ||||
\(127\) | −4.21098 | − | 3.98885i | −0.373664 | − | 0.353953i | 0.477705 | − | 0.878520i | \(-0.341469\pi\) |
−0.851369 | + | 0.524567i | \(0.824227\pi\) | |||||||
\(128\) | 0.796093 | + | 0.605174i | 0.0703654 | + | 0.0534903i | ||||
\(129\) | −1.72676 | − | 2.54679i | −0.152033 | − | 0.224232i | ||||
\(130\) | 5.51737 | − | 0.600050i | 0.483905 | − | 0.0526279i | ||||
\(131\) | −0.305134 | + | 0.289038i | −0.0266596 | + | 0.0252534i | −0.700913 | − | 0.713246i | \(-0.747224\pi\) |
0.674254 | + | 0.738500i | \(0.264465\pi\) | |||||||
\(132\) | 0.642595 | + | 0.756522i | 0.0559308 | + | 0.0658468i | ||||
\(133\) | −3.81323 | + | 7.19252i | −0.330649 | + | 0.623670i | ||||
\(134\) | 7.34301 | − | 10.8301i | 0.634339 | − | 0.935580i | ||||
\(135\) | 2.96830 | − | 1.00014i | 0.255471 | − | 0.0860781i | ||||
\(136\) | −0.491381 | − | 1.76979i | −0.0421355 | − | 0.151759i | ||||
\(137\) | −1.63185 | + | 9.95381i | −0.139418 | + | 0.850412i | 0.820811 | + | 0.571199i | \(0.193522\pi\) |
−0.960229 | + | 0.279212i | \(0.909927\pi\) | |||||||
\(138\) | −0.795472 | − | 1.99648i | −0.0677151 | − | 0.169952i | ||||
\(139\) | 9.76676 | − | 11.4983i | 0.828405 | − | 0.975274i | −0.171545 | − | 0.985176i | \(-0.554876\pi\) |
0.999951 | + | 0.00990186i | \(0.00315191\pi\) | |||||||
\(140\) | 0.368471 | + | 6.79605i | 0.0311415 | + | 0.574371i | ||||
\(141\) | 2.08606 | − | 7.51332i | 0.175678 | − | 0.632736i | ||||
\(142\) | −5.67408 | − | 2.62511i | −0.476159 | − | 0.220294i | ||||
\(143\) | 1.71762 | + | 0.378077i | 0.143635 | + | 0.0316163i | ||||
\(144\) | 0.976621 | − | 0.214970i | 0.0813850 | − | 0.0179142i | ||||
\(145\) | 22.5014 | − | 10.4102i | 1.86864 | − | 0.864524i | ||||
\(146\) | 2.65749 | + | 16.2100i | 0.219935 | + | 1.34155i | ||||
\(147\) | 1.95243 | − | 1.17474i | 0.161034 | − | 0.0968910i | ||||
\(148\) | −0.302232 | + | 0.181847i | −0.0248433 | + | 0.0149477i | ||||
\(149\) | −1.26982 | − | 7.74554i | −0.104028 | − | 0.634540i | −0.986447 | − | 0.164077i | \(-0.947535\pi\) |
0.882420 | − | 0.470463i | \(-0.155913\pi\) | |||||||
\(150\) | 4.36642 | − | 2.02012i | 0.356517 | − | 0.164942i | ||||
\(151\) | 6.23628 | − | 1.37271i | 0.507502 | − | 0.111710i | 0.0461634 | − | 0.998934i | \(-0.485301\pi\) |
0.461338 | + | 0.887224i | \(0.347369\pi\) | |||||||
\(152\) | 3.65897 | + | 0.805400i | 0.296782 | + | 0.0653266i | ||||
\(153\) | −1.66698 | − | 0.771228i | −0.134768 | − | 0.0623501i | ||||
\(154\) | −0.577005 | + | 2.07818i | −0.0464964 | + | 0.167465i | ||||
\(155\) | 0.996235 | + | 18.3745i | 0.0800195 | + | 1.47587i | ||||
\(156\) | 1.14707 | − | 1.35044i | 0.0918392 | − | 0.108121i | ||||
\(157\) | −2.54233 | − | 6.38077i | −0.202900 | − | 0.509241i | 0.791951 | − | 0.610584i | \(-0.209065\pi\) |
−0.994852 | + | 0.101343i | \(0.967686\pi\) | |||||||
\(158\) | −1.04543 | + | 6.37686i | −0.0831702 | + | 0.507315i | ||||
\(159\) | 3.25044 | + | 11.7070i | 0.257777 | + | 0.928429i | ||||
\(160\) | 2.96830 | − | 1.00014i | 0.234665 | − | 0.0790678i | ||||
\(161\) | 2.62062 | − | 3.86513i | 0.206534 | − | 0.304615i | ||||
\(162\) | 0.468408 | − | 0.883512i | 0.0368016 | − | 0.0694153i | ||||
\(163\) | −9.51086 | − | 11.1970i | −0.744948 | − | 0.877021i | 0.250904 | − | 0.968012i | \(-0.419272\pi\) |
−0.995852 | + | 0.0909914i | \(0.970996\pi\) | |||||||
\(164\) | −1.90125 | + | 1.80096i | −0.148463 | + | 0.140631i | ||||
\(165\) | 3.09086 | − | 0.336151i | 0.240623 | − | 0.0261693i | ||||
\(166\) | 8.87853 | + | 13.0949i | 0.689108 | + | 1.01636i | ||||
\(167\) | −11.0037 | − | 8.36482i | −0.851494 | − | 0.647289i | 0.0856138 | − | 0.996328i | \(-0.472715\pi\) |
−0.937108 | + | 0.349039i | \(0.886508\pi\) | |||||||
\(168\) | 1.57750 | + | 1.49429i | 0.121707 | + | 0.115287i | ||||
\(169\) | −0.533839 | + | 9.84609i | −0.0410646 | + | 0.757391i | ||||
\(170\) | −5.45200 | − | 1.83699i | −0.418150 | − | 0.140891i | ||||
\(171\) | 2.98261 | − | 2.26732i | 0.228086 | − | 0.173386i | ||||
\(172\) | −3.05895 | − | 0.332681i | −0.233243 | − | 0.0253667i | ||||
\(173\) | −7.12791 | − | 13.4447i | −0.541925 | − | 1.02218i | −0.991643 | − | 0.129009i | \(-0.958821\pi\) |
0.449718 | − | 0.893170i | \(-0.351524\pi\) | |||||||
\(174\) | 2.92976 | − | 7.35314i | 0.222104 | − | 0.557440i | ||||
\(175\) | 8.95750 | + | 5.38955i | 0.677123 | + | 0.407412i | ||||
\(176\) | 0.992600 | 0.0748200 | ||||||||
\(177\) | 3.37006 | − | 6.90237i | 0.253309 | − | 0.518814i | ||||
\(178\) | −3.53951 | −0.265298 | ||||||||
\(179\) | 16.7771 | + | 10.0944i | 1.25398 | + | 0.754494i | 0.978387 | − | 0.206781i | \(-0.0662988\pi\) |
0.275591 | + | 0.961275i | \(0.411126\pi\) | |||||||
\(180\) | 1.15937 | − | 2.90980i | 0.0864144 | − | 0.216884i | ||||
\(181\) | 4.03749 | + | 7.61550i | 0.300104 | + | 0.566056i | 0.987004 | − | 0.160696i | \(-0.0513738\pi\) |
−0.686900 | + | 0.726752i | \(0.741029\pi\) | |||||||
\(182\) | 3.82744 | + | 0.416260i | 0.283709 | + | 0.0308552i | ||||
\(183\) | −1.68914 | + | 1.28405i | −0.124865 | + | 0.0949200i | ||||
\(184\) | −2.03662 | − | 0.686218i | −0.150142 | − | 0.0505887i | ||||
\(185\) | −0.0598137 | + | 1.10320i | −0.00439759 | + | 0.0811087i | ||||
\(186\) | 4.26508 | + | 4.04010i | 0.312731 | + | 0.296235i | ||||
\(187\) | −1.45140 | − | 1.10332i | −0.106137 | − | 0.0806830i | ||||
\(188\) | −4.37588 | − | 6.45394i | −0.319144 | − | 0.470702i | ||||
\(189\) | 2.16014 | − | 0.234929i | 0.157127 | − | 0.0170886i | ||||
\(190\) | 8.51972 | − | 8.07031i | 0.618085 | − | 0.585482i | ||||
\(191\) | 3.80882 | + | 4.48409i | 0.275596 | + | 0.324457i | 0.882495 | − | 0.470322i | \(-0.155862\pi\) |
−0.606898 | + | 0.794779i | \(0.707587\pi\) | |||||||
\(192\) | 0.468408 | − | 0.883512i | 0.0338045 | − | 0.0637620i | ||||
\(193\) | −5.66145 | + | 8.35001i | −0.407520 | + | 0.601047i | −0.974963 | − | 0.222366i | \(-0.928622\pi\) |
0.567444 | + | 0.823412i | \(0.307933\pi\) | |||||||
\(194\) | −7.42124 | + | 2.50051i | −0.532814 | + | 0.179526i | ||||
\(195\) | −1.48476 | − | 5.34761i | −0.106326 | − | 0.382950i | ||||
\(196\) | 0.368636 | − | 2.24858i | 0.0263312 | − | 0.160613i | ||||
\(197\) | 5.01974 | + | 12.5986i | 0.357642 | + | 0.897613i | 0.992191 | + | 0.124731i | \(0.0398066\pi\) |
−0.634549 | + | 0.772883i | \(0.718814\pi\) | |||||||
\(198\) | 0.642595 | − | 0.756522i | 0.0456673 | − | 0.0537637i | ||||
\(199\) | −0.229243 | − | 4.22814i | −0.0162506 | − | 0.299725i | −0.995349 | − | 0.0963369i | \(-0.969287\pi\) |
0.979098 | − | 0.203388i | \(-0.0651954\pi\) | |||||||
\(200\) | 1.28710 | − | 4.63572i | 0.0910118 | − | 0.327795i | ||||
\(201\) | −11.8754 | − | 5.49415i | −0.837628 | − | 0.387528i | ||||
\(202\) | 9.71213 | + | 2.13780i | 0.683343 | + | 0.150415i | ||||
\(203\) | 16.7969 | − | 3.69728i | 1.17891 | − | 0.259498i | ||||
\(204\) | −1.66698 | + | 0.771228i | −0.116712 | + | 0.0539968i | ||||
\(205\) | 1.32707 | + | 8.09477i | 0.0926866 | + | 0.565363i | ||||
\(206\) | −7.78536 | + | 4.68429i | −0.542432 | + | 0.326370i | ||||
\(207\) | −1.84149 | + | 1.10799i | −0.127992 | + | 0.0770105i | ||||
\(208\) | −0.286653 | − | 1.74851i | −0.0198758 | − | 0.121237i | ||||
\(209\) | 3.37512 | − | 1.56150i | 0.233462 | − | 0.108011i | ||||
\(210\) | 6.64691 | − | 1.46310i | 0.458680 | − | 0.100963i | ||||
\(211\) | 12.8405 | + | 2.82641i | 0.883976 | + | 0.194578i | 0.633684 | − | 0.773592i | \(-0.281542\pi\) |
0.250293 | + | 0.968170i | \(0.419473\pi\) | |||||||
\(212\) | 11.0270 | + | 5.10161i | 0.757334 | + | 0.350380i | ||||
\(213\) | −1.67256 | + | 6.02403i | −0.114602 | + | 0.412760i | ||||
\(214\) | 0.428209 | + | 7.89785i | 0.0292718 | + | 0.539886i | ||||
\(215\) | −6.23947 | + | 7.34567i | −0.425528 | + | 0.500970i | ||||
\(216\) | −0.370138 | − | 0.928977i | −0.0251847 | − | 0.0632089i | ||||
\(217\) | −2.06519 | + | 12.5971i | −0.140194 | + | 0.855146i | ||||
\(218\) | −2.29468 | − | 8.26470i | −0.155415 | − | 0.559756i | ||||
\(219\) | 15.5665 | − | 5.24496i | 1.05189 | − | 0.354422i | ||||
\(220\) | 1.74478 | − | 2.57336i | 0.117633 | − | 0.173496i | ||||
\(221\) | −1.52440 | + | 2.87533i | −0.102542 | + | 0.193416i | ||||
\(222\) | 0.228347 | + | 0.268831i | 0.0153257 | + | 0.0180428i | ||||
\(223\) | −16.9128 | + | 16.0206i | −1.13256 | + | 1.07282i | −0.135939 | + | 0.990717i | \(0.543405\pi\) |
−0.996624 | + | 0.0821029i | \(0.973836\pi\) | |||||||
\(224\) | 2.16014 | − | 0.234929i | 0.144330 | − | 0.0156969i | ||||
\(225\) | −2.69992 | − | 3.98208i | −0.179995 | − | 0.265472i | ||||
\(226\) | 9.01752 | + | 6.85494i | 0.599837 | + | 0.455984i | ||||
\(227\) | 6.46439 | + | 6.12340i | 0.429057 | + | 0.406424i | 0.871518 | − | 0.490363i | \(-0.163136\pi\) |
−0.442461 | + | 0.896788i | \(0.645895\pi\) | |||||||
\(228\) | 0.202835 | − | 3.74107i | 0.0134331 | − | 0.247758i | ||||
\(229\) | 18.6128 | + | 6.27139i | 1.22997 | + | 0.414425i | 0.857918 | − | 0.513787i | \(-0.171758\pi\) |
0.372051 | + | 0.928212i | \(0.378654\pi\) | |||||||
\(230\) | −5.35900 | + | 4.07380i | −0.353362 | + | 0.268619i | ||||
\(231\) | 2.14416 | + | 0.233191i | 0.141075 | + | 0.0153428i | ||||
\(232\) | −3.70760 | − | 6.99327i | −0.243416 | − | 0.459131i | ||||
\(233\) | 7.81978 | − | 19.6262i | 0.512291 | − | 1.28575i | −0.414457 | − | 0.910069i | \(-0.636029\pi\) |
0.926748 | − | 0.375684i | \(-0.122592\pi\) | |||||||
\(234\) | −1.51822 | − | 0.913484i | −0.0992493 | − | 0.0597163i | ||||
\(235\) | −24.4240 | −1.59324 | ||||||||
\(236\) | −3.07899 | − | 7.03703i | −0.200425 | − | 0.458072i | ||||
\(237\) | 6.46198 | 0.419751 | ||||||||
\(238\) | −3.41973 | − | 2.05758i | −0.221668 | − | 0.133373i | ||||
\(239\) | 6.53083 | − | 16.3912i | 0.422445 | − | 1.06026i | −0.551642 | − | 0.834081i | \(-0.685999\pi\) |
0.974087 | − | 0.226175i | \(-0.0726221\pi\) | |||||||
\(240\) | −1.46718 | − | 2.76739i | −0.0947060 | − | 0.178635i | ||||
\(241\) | −12.1619 | − | 1.32269i | −0.783417 | − | 0.0852017i | −0.292336 | − | 0.956316i | \(-0.594433\pi\) |
−0.491081 | + | 0.871114i | \(0.663398\pi\) | |||||||
\(242\) | −7.97267 | + | 6.06067i | −0.512503 | + | 0.389594i | ||||
\(243\) | −0.947653 | − | 0.319302i | −0.0607920 | − | 0.0204832i | ||||
\(244\) | −0.114872 | + | 2.11868i | −0.00735390 | + | 0.135635i | ||||
\(245\) | −5.18156 | − | 4.90823i | −0.331038 | − | 0.313576i | ||||
\(246\) | 2.08482 | + | 1.58484i | 0.132923 | + | 0.101046i | ||||
\(247\) | −3.72535 | − | 5.49448i | −0.237038 | − | 0.349606i | ||||
\(248\) | 5.84037 | − | 0.635179i | 0.370864 | − | 0.0403339i | ||||
\(249\) | 11.4860 | − | 10.8801i | 0.727893 | − | 0.689497i | ||||
\(250\) | 0.383080 | + | 0.450997i | 0.0242281 | + | 0.0285235i | ||||
\(251\) | −7.41939 | + | 13.9945i | −0.468308 | + | 0.883322i | 0.531045 | + | 0.847344i | \(0.321800\pi\) |
−0.999353 | + | 0.0359783i | \(0.988545\pi\) | |||||||
\(252\) | 1.21939 | − | 1.79847i | 0.0768144 | − | 0.113293i | ||||
\(253\) | −2.02155 | + | 0.681140i | −0.127094 | + | 0.0428229i | ||||
\(254\) | 1.55174 | + | 5.58886i | 0.0973648 | + | 0.350676i | ||||
\(255\) | −0.930758 | + | 5.67738i | −0.0582864 | + | 0.355531i | ||||
\(256\) | −0.370138 | − | 0.928977i | −0.0231336 | − | 0.0580610i | ||||
\(257\) | −14.0546 | + | 16.5463i | −0.876700 | + | 1.03213i | 0.122514 | + | 0.992467i | \(0.460905\pi\) |
−0.999213 | + | 0.0396637i | \(0.987371\pi\) | |||||||
\(258\) | 0.166585 | + | 3.07247i | 0.0103711 | + | 0.191284i | ||||
\(259\) | −0.205040 | + | 0.738486i | −0.0127405 | + | 0.0458873i | ||||
\(260\) | −5.03695 | − | 2.33034i | −0.312379 | − | 0.144522i | ||||
\(261\) | −7.73025 | − | 1.70156i | −0.478491 | − | 0.105324i | ||||
\(262\) | 0.410470 | − | 0.0903514i | 0.0253589 | − | 0.00558193i | ||||
\(263\) | −22.2144 | + | 10.2775i | −1.36980 | + | 0.633738i | −0.960402 | − | 0.278618i | \(-0.910124\pi\) |
−0.409399 | + | 0.912355i | \(0.634262\pi\) | |||||||
\(264\) | −0.160585 | − | 0.979524i | −0.00988331 | − | 0.0602855i | ||||
\(265\) | 32.6092 | − | 19.6203i | 2.00317 | − | 1.20526i | ||||
\(266\) | 6.97552 | − | 4.19703i | 0.427697 | − | 0.257337i | ||||
\(267\) | 0.572630 | + | 3.49289i | 0.0350444 | + | 0.213761i | ||||
\(268\) | −11.8754 | + | 5.49415i | −0.725407 | + | 0.335609i | ||||
\(269\) | −13.6884 | + | 3.01304i | −0.834596 | + | 0.183708i | −0.611656 | − | 0.791124i | \(-0.709496\pi\) |
−0.222940 | + | 0.974832i | \(0.571565\pi\) | |||||||
\(270\) | −3.05903 | − | 0.673344i | −0.186167 | − | 0.0409784i | ||||
\(271\) | −4.04332 | − | 1.87064i | −0.245614 | − | 0.113633i | 0.293220 | − | 0.956045i | \(-0.405273\pi\) |
−0.538834 | + | 0.842412i | \(0.681135\pi\) | |||||||
\(272\) | −0.491381 | + | 1.76979i | −0.0297943 | + | 0.107309i | ||||
\(273\) | −0.208436 | − | 3.84437i | −0.0126151 | − | 0.232672i | ||||
\(274\) | 6.52999 | − | 7.68769i | 0.394491 | − | 0.464431i | ||||
\(275\) | −1.76759 | − | 4.43631i | −0.106590 | − | 0.267520i | ||||
\(276\) | −0.347689 | + | 2.12081i | −0.0209284 | + | 0.127658i | ||||
\(277\) | 1.83719 | + | 6.61697i | 0.110386 | + | 0.397575i | 0.998014 | − | 0.0629854i | \(-0.0200621\pi\) |
−0.887628 | + | 0.460561i | \(0.847648\pi\) | |||||||
\(278\) | −14.2967 | + | 4.81712i | −0.857460 | + | 0.288912i | ||||
\(279\) | 3.29687 | − | 4.86251i | 0.197378 | − | 0.291111i | ||||
\(280\) | 3.18800 | − | 6.01321i | 0.190520 | − | 0.359358i | ||||
\(281\) | −8.69634 | − | 10.2381i | −0.518780 | − | 0.610755i | 0.438919 | − | 0.898527i | \(-0.355362\pi\) |
−0.957699 | + | 0.287771i | \(0.907086\pi\) | |||||||
\(282\) | −5.66098 | + | 5.36236i | −0.337106 | + | 0.319324i | ||||
\(283\) | −23.0893 | + | 2.51112i | −1.37252 | + | 0.149270i | −0.764485 | − | 0.644641i | \(-0.777007\pi\) |
−0.608033 | + | 0.793911i | \(0.708041\pi\) | |||||||
\(284\) | 3.50849 | + | 5.17464i | 0.208191 | + | 0.307058i | ||||
\(285\) | −9.34233 | − | 7.10186i | −0.553392 | − | 0.420678i | ||||
\(286\) | −1.27684 | − | 1.20948i | −0.0755009 | − | 0.0715182i | ||||
\(287\) | −0.308070 | + | 5.68203i | −0.0181848 | + | 0.335399i | ||||
\(288\) | −0.947653 | − | 0.319302i | −0.0558410 | − | 0.0188150i | ||||
\(289\) | −10.8479 | + | 8.24633i | −0.638110 | + | 0.485078i | ||||
\(290\) | −24.6475 | − | 2.68058i | −1.44735 | − | 0.157409i | ||||
\(291\) | 3.66819 | + | 6.91894i | 0.215033 | + | 0.405596i | ||||
\(292\) | 6.08002 | − | 15.2597i | 0.355807 | − | 0.893007i | ||||
\(293\) | 15.9404 | + | 9.59104i | 0.931250 | + | 0.560314i | 0.898415 | − | 0.439147i | \(-0.144719\pi\) |
0.0328341 | + | 0.999461i | \(0.489547\pi\) | |||||||
\(294\) | −2.27860 | −0.132891 | ||||||||
\(295\) | −23.6560 | − | 4.38718i | −1.37731 | − | 0.255431i | ||||
\(296\) | 0.352722 | 0.0205015 | ||||||||
\(297\) | −0.850516 | − | 0.511739i | −0.0493520 | − | 0.0296941i | ||||
\(298\) | −2.90519 | + | 7.29148i | −0.168293 | + | 0.422384i | ||||
\(299\) | 1.78366 | + | 3.36434i | 0.103152 | + | 0.194565i | ||||
\(300\) | −4.78288 | − | 0.520170i | −0.276140 | − | 0.0300320i | ||||
\(301\) | −5.32261 | + | 4.04614i | −0.306790 | + | 0.233216i | ||||
\(302\) | −6.05131 | − | 2.03892i | −0.348214 | − | 0.117327i | ||||
\(303\) | 0.538391 | − | 9.93005i | 0.0309298 | − | 0.570466i | ||||
\(304\) | −2.71999 | − | 2.57651i | −0.156002 | − | 0.147773i | ||||
\(305\) | 5.29085 | + | 4.02200i | 0.302953 | + | 0.230299i | ||||
\(306\) | 1.03076 | + | 1.52025i | 0.0589244 | + | 0.0869070i | ||||
\(307\) | 26.5238 | − | 2.88464i | 1.51380 | − | 0.164635i | 0.686801 | − | 0.726845i | \(-0.259014\pi\) |
0.826994 | + | 0.562210i | \(0.190049\pi\) | |||||||
\(308\) | 1.56583 | − | 1.48323i | 0.0892212 | − | 0.0845148i | ||||
\(309\) | 5.88212 | + | 6.92496i | 0.334622 | + | 0.393947i | ||||
\(310\) | 8.61940 | − | 16.2579i | 0.489549 | − | 0.923387i | ||||
\(311\) | −5.84629 | + | 8.62263i | −0.331513 | + | 0.488944i | −0.956517 | − | 0.291677i | \(-0.905787\pi\) |
0.625004 | + | 0.780621i | \(0.285097\pi\) | |||||||
\(312\) | −1.67910 | + | 0.565754i | −0.0950602 | + | 0.0320295i | ||||
\(313\) | −5.98583 | − | 21.5590i | −0.338339 | − | 1.21859i | −0.915621 | − | 0.402043i | \(-0.868300\pi\) |
0.577281 | − | 0.816545i | \(-0.304114\pi\) | |||||||
\(314\) | −1.11122 | + | 6.77812i | −0.0627096 | + | 0.382511i | ||||
\(315\) | −2.51917 | − | 6.32264i | −0.141939 | − | 0.356241i | ||||
\(316\) | 4.18340 | − | 4.92508i | 0.235335 | − | 0.277057i | ||||
\(317\) | −1.42269 | − | 26.2400i | −0.0799064 | − | 1.47379i | −0.713791 | − | 0.700359i | \(-0.753023\pi\) |
0.633885 | − | 0.773428i | \(-0.281459\pi\) | |||||||
\(318\) | 3.25044 | − | 11.7070i | 0.182276 | − | 0.656498i | ||||
\(319\) | −7.13058 | − | 3.29896i | −0.399236 | − | 0.184706i | ||||
\(320\) | −3.05903 | − | 0.673344i | −0.171005 | − | 0.0376411i | ||||
\(321\) | 7.72453 | − | 1.70030i | 0.431141 | − | 0.0949014i | ||||
\(322\) | −4.23818 | + | 1.96079i | −0.236184 | + | 0.109271i | ||||
\(323\) | 1.11330 | + | 6.79082i | 0.0619455 | + | 0.377851i | ||||
\(324\) | −0.856857 | + | 0.515554i | −0.0476032 | + | 0.0286419i | ||||
\(325\) | −7.30429 | + | 4.39485i | −0.405169 | + | 0.243782i | ||||
\(326\) | 2.37677 | + | 14.4976i | 0.131637 | + | 0.802950i | ||||
\(327\) | −7.78459 | + | 3.60153i | −0.430489 | + | 0.199165i | ||||
\(328\) | 2.55759 | − | 0.562968i | 0.141219 | − | 0.0310847i | ||||
\(329\) | −16.5470 | − | 3.64227i | −0.912265 | − | 0.200805i | ||||
\(330\) | −2.82173 | − | 1.30547i | −0.155331 | − | 0.0718638i | ||||
\(331\) | 0.0533024 | − | 0.191978i | 0.00292977 | − | 0.0105521i | −0.962071 | − | 0.272800i | \(-0.912050\pi\) |
0.965000 | + | 0.262248i | \(0.0844639\pi\) | |||||||
\(332\) | −0.856531 | − | 15.7978i | −0.0470082 | − | 0.867016i | ||||
\(333\) | 0.228347 | − | 0.268831i | 0.0125134 | − | 0.0147319i | ||||
\(334\) | 5.11611 | + | 12.8405i | 0.279941 | + | 0.702599i | ||||
\(335\) | −6.63063 | + | 40.4451i | −0.362270 | + | 2.20975i | ||||
\(336\) | −0.581307 | − | 2.09368i | −0.0317129 | − | 0.114219i | ||||
\(337\) | 25.5518 | − | 8.60940i | 1.39190 | − | 0.468984i | 0.479229 | − | 0.877690i | \(-0.340916\pi\) |
0.912666 | + | 0.408706i | \(0.134020\pi\) | |||||||
\(338\) | 5.53361 | − | 8.16147i | 0.300989 | − | 0.443925i | ||||
\(339\) | 5.30577 | − | 10.0077i | 0.288170 | − | 0.543546i | ||||
\(340\) | 3.72452 | + | 4.38484i | 0.201990 | + | 0.237802i | ||||
\(341\) | 4.23352 | − | 4.01020i | 0.229258 | − | 0.217165i | ||||
\(342\) | −3.72460 | + | 0.405075i | −0.201403 | + | 0.0219039i | ||||
\(343\) | −11.3142 | − | 16.6873i | −0.610912 | − | 0.901027i | ||||
\(344\) | 2.44957 | + | 1.86211i | 0.132072 | + | 0.100398i | ||||
\(345\) | 4.88713 | + | 4.62933i | 0.263114 | + | 0.249235i | ||||
\(346\) | −0.823848 | + | 15.1950i | −0.0442903 | + | 0.816887i | ||||
\(347\) | 31.8785 | + | 10.7411i | 1.71133 | + | 0.576613i | 0.992896 | − | 0.118987i | \(-0.0379647\pi\) |
0.718430 | + | 0.695600i | \(0.244861\pi\) | |||||||
\(348\) | −6.30132 | + | 4.79014i | −0.337786 | + | 0.256778i | ||||
\(349\) | −15.1770 | − | 1.65060i | −0.812406 | − | 0.0883545i | −0.307521 | − | 0.951541i | \(-0.599500\pi\) |
−0.504885 | + | 0.863187i | \(0.668465\pi\) | |||||||
\(350\) | −4.89670 | − | 9.23615i | −0.261739 | − | 0.493693i | ||||
\(351\) | −0.655829 | + | 1.64601i | −0.0350056 | + | 0.0878573i | ||||
\(352\) | −0.850516 | − | 0.511739i | −0.0453327 | − | 0.0272758i | ||||
\(353\) | −26.7582 | −1.42420 | −0.712098 | − | 0.702080i | \(-0.752255\pi\) | ||||
−0.712098 | + | 0.702080i | \(0.752255\pi\) | |||||||
\(354\) | −6.44620 | + | 4.17690i | −0.342612 | + | 0.222000i | ||||
\(355\) | 19.5827 | 1.03934 | ||||||||
\(356\) | 3.03286 | + | 1.82481i | 0.160741 | + | 0.0967148i | ||||
\(357\) | −1.47723 | + | 3.70756i | −0.0781832 | + | 0.196225i | ||||
\(358\) | −9.17134 | − | 17.2990i | −0.484721 | − | 0.914280i | ||||
\(359\) | −3.22229 | − | 0.350445i | −0.170066 | − | 0.0184958i | 0.0226899 | − | 0.999743i | \(-0.492777\pi\) |
−0.192756 | + | 0.981247i | \(0.561742\pi\) | |||||||
\(360\) | −2.49357 | + | 1.89557i | −0.131423 | + | 0.0999051i | ||||
\(361\) | 4.70346 | + | 1.58478i | 0.247551 | + | 0.0834095i | ||||
\(362\) | 0.466655 | − | 8.60694i | 0.0245268 | − | 0.452371i | ||||
\(363\) | 7.27066 | + | 6.88714i | 0.381611 | + | 0.361481i | ||||
\(364\) | −3.06497 | − | 2.32993i | −0.160648 | − | 0.122121i | ||||
\(365\) | −28.8740 | − | 42.5860i | −1.51134 | − | 2.22905i | ||||
\(366\) | 2.10935 | − | 0.229406i | 0.110258 | − | 0.0119913i | ||||
\(367\) | −7.99992 | + | 7.57793i | −0.417593 | + | 0.395565i | −0.867441 | − | 0.497540i | \(-0.834237\pi\) |
0.449848 | + | 0.893105i | \(0.351478\pi\) | |||||||
\(368\) | 1.39131 | + | 1.63798i | 0.0725272 | + | 0.0853856i | ||||
\(369\) | 1.22668 | − | 2.31376i | 0.0638582 | − | 0.120449i | ||||
\(370\) | 0.620010 | − | 0.914446i | 0.0322328 | − | 0.0475398i | ||||
\(371\) | 25.0183 | − | 8.42964i | 1.29889 | − | 0.437645i | ||||
\(372\) | −1.57168 | − | 5.66067i | −0.0814877 | − | 0.293492i | ||||
\(373\) | −3.49308 | + | 21.3068i | −0.180865 | + | 1.10323i | 0.727828 | + | 0.685760i | \(0.240530\pi\) |
−0.908693 | + | 0.417466i | \(0.862918\pi\) | |||||||
\(374\) | 0.674817 | + | 1.69366i | 0.0348940 | + | 0.0875773i | ||||
\(375\) | 0.383080 | − | 0.450997i | 0.0197822 | − | 0.0232894i | ||||
\(376\) | 0.422150 | + | 7.78610i | 0.0217707 | + | 0.401538i | ||||
\(377\) | −3.75201 | + | 13.5135i | −0.193238 | + | 0.695982i | ||||
\(378\) | −1.97205 | − | 0.912368i | −0.101431 | − | 0.0469271i | ||||
\(379\) | 36.3446 | + | 8.00004i | 1.86689 | + | 0.410934i | 0.996657 | − | 0.0816986i | \(-0.0260345\pi\) |
0.870237 | + | 0.492633i | \(0.163966\pi\) | |||||||
\(380\) | −11.4609 | + | 2.52273i | −0.587930 | + | 0.129413i | ||||
\(381\) | 5.26419 | − | 2.43548i | 0.269693 | − | 0.124773i | ||||
\(382\) | −0.951824 | − | 5.80587i | −0.0486996 | − | 0.297054i | ||||
\(383\) | 14.4103 | − | 8.67037i | 0.736330 | − | 0.443035i | −0.0973732 | − | 0.995248i | \(-0.531044\pi\) |
0.833703 | + | 0.552213i | \(0.186216\pi\) | |||||||
\(384\) | −0.856857 | + | 0.515554i | −0.0437263 | + | 0.0263092i | ||||
\(385\) | −1.09294 | − | 6.66667i | −0.0557016 | − | 0.339765i | ||||
\(386\) | 9.15593 | − | 4.23598i | 0.466025 | − | 0.215606i | ||||
\(387\) | 3.00505 | − | 0.661461i | 0.152755 | − | 0.0336239i | ||||
\(388\) | 7.64809 | + | 1.68347i | 0.388273 | + | 0.0854654i | ||||
\(389\) | 18.4313 | + | 8.52722i | 0.934503 | + | 0.432347i | 0.827218 | − | 0.561881i | \(-0.189922\pi\) |
0.107285 | + | 0.994228i | \(0.465784\pi\) | |||||||
\(390\) | −1.48476 | + | 5.34761i | −0.0751835 | + | 0.270787i | ||||
\(391\) | −0.213707 | − | 3.94160i | −0.0108076 | − | 0.199335i | ||||
\(392\) | −1.47513 | + | 1.73666i | −0.0745055 | + | 0.0877147i | ||||
\(393\) | −0.155568 | − | 0.390446i | −0.00784736 | − | 0.0196954i | ||||
\(394\) | 2.19406 | − | 13.3832i | 0.110535 | − | 0.674233i | ||||
\(395\) | −5.41495 | − | 19.5029i | −0.272456 | − | 0.981296i | ||||
\(396\) | −0.940640 | + | 0.316939i | −0.0472690 | + | 0.0159268i | ||||
\(397\) | 2.75373 | − | 4.06146i | 0.138206 | − | 0.203839i | −0.752287 | − | 0.658836i | \(-0.771049\pi\) |
0.890493 | + | 0.454997i | \(0.150360\pi\) | |||||||
\(398\) | −1.98341 | + | 3.74110i | −0.0994192 | + | 0.187525i | ||||
\(399\) | −5.27026 | − | 6.20463i | −0.263843 | − | 0.310620i | ||||
\(400\) | −3.49283 | + | 3.30858i | −0.174641 | + | 0.165429i | ||||
\(401\) | 21.1932 | − | 2.30490i | 1.05834 | − | 0.115101i | 0.437639 | − | 0.899151i | \(-0.355815\pi\) |
0.620698 | + | 0.784050i | \(0.286849\pi\) | |||||||
\(402\) | 7.34301 | + | 10.8301i | 0.366236 | + | 0.540158i | ||||
\(403\) | −8.28675 | − | 6.29943i | −0.412793 | − | 0.313797i | ||||
\(404\) | −7.21976 | − | 6.83892i | −0.359196 | − | 0.340249i | ||||
\(405\) | −0.169577 | + | 3.12767i | −0.00842637 | + | 0.155415i | ||||
\(406\) | −16.2987 | − | 5.49167i | −0.808890 | − | 0.272547i | ||||
\(407\) | 0.278721 | − | 0.211879i | 0.0138157 | − | 0.0105024i | ||||
\(408\) | 1.82598 | + | 0.198587i | 0.0903993 | + | 0.00983151i | ||||
\(409\) | 13.9390 | + | 26.2917i | 0.689237 | + | 1.30004i | 0.943006 | + | 0.332774i | \(0.107985\pi\) |
−0.253769 | + | 0.967265i | \(0.581670\pi\) | |||||||
\(410\) | 3.03618 | − | 7.62024i | 0.149946 | − | 0.376337i | ||||
\(411\) | −8.64285 | − | 5.20023i | −0.426321 | − | 0.256509i | ||||
\(412\) | 9.08595 | 0.447632 | ||||||||
\(413\) | −15.3725 | − | 6.50001i | −0.756429 | − | 0.319845i | ||||
\(414\) | 2.14912 | 0.105624 | ||||||||
\(415\) | −42.4620 | − | 25.5485i | −2.08438 | − | 1.25413i | ||||
\(416\) | −0.655829 | + | 1.64601i | −0.0321547 | + | 0.0807021i | ||||
\(417\) | 7.06662 | + | 13.3291i | 0.346054 | + | 0.652727i | ||||
\(418\) | −3.69704 | − | 0.402077i | −0.180828 | − | 0.0196662i | ||||
\(419\) | 7.65625 | − | 5.82013i | 0.374032 | − | 0.284332i | −0.401223 | − | 0.915981i | \(-0.631415\pi\) |
0.775255 | + | 0.631649i | \(0.217622\pi\) | |||||||
\(420\) | −6.44976 | − | 2.17318i | −0.314716 | − | 0.106040i | ||||
\(421\) | −2.00503 | + | 36.9807i | −0.0977194 | + | 1.80233i | 0.381225 | + | 0.924482i | \(0.375502\pi\) |
−0.478944 | + | 0.877845i | \(0.658980\pi\) | |||||||
\(422\) | −9.54531 | − | 9.04180i | −0.464658 | − | 0.440148i | ||||
\(423\) | 6.20757 | + | 4.71887i | 0.301822 | + | 0.229439i | ||||
\(424\) | −6.81837 | − | 10.0563i | −0.331129 | − | 0.488379i | ||||
\(425\) | 8.78492 | − | 0.955418i | 0.426131 | − | 0.0463446i | ||||
\(426\) | 4.53886 | − | 4.29944i | 0.219909 | − | 0.208308i | ||||
\(427\) | 2.98471 | + | 3.51387i | 0.144440 | + | 0.170048i | ||||
\(428\) | 3.70485 | − | 6.98810i | 0.179081 | − | 0.337782i | ||||
\(429\) | −0.986981 | + | 1.45569i | −0.0476519 | + | 0.0702813i | ||||
\(430\) | 9.13342 | − | 3.07741i | 0.440453 | − | 0.148406i | ||||
\(431\) | −5.78545 | − | 20.8373i | −0.278675 | − | 1.00370i | −0.961880 | − | 0.273471i | \(-0.911828\pi\) |
0.683205 | − | 0.730227i | \(-0.260586\pi\) | |||||||
\(432\) | −0.161782 | + | 0.986827i | −0.00778374 | + | 0.0474787i | ||||
\(433\) | 6.27489 | + | 15.7488i | 0.301552 | + | 0.756838i | 0.999184 | + | 0.0403823i | \(0.0128576\pi\) |
−0.697632 | + | 0.716456i | \(0.745763\pi\) | |||||||
\(434\) | 8.26404 | − | 9.72919i | 0.396687 | − | 0.467016i | ||||
\(435\) | 1.34226 | + | 24.7565i | 0.0643563 | + | 1.18698i | ||||
\(436\) | −2.29468 | + | 8.26470i | −0.109895 | + | 0.395807i | ||||
\(437\) | 7.30763 | + | 3.38087i | 0.349572 | + | 0.161729i | ||||
\(438\) | −16.0423 | − | 3.53118i | −0.766532 | − | 0.168726i | ||||
\(439\) | −32.9140 | + | 7.24492i | −1.57090 | + | 0.345781i | −0.913204 | − | 0.407502i | \(-0.866400\pi\) |
−0.657696 | + | 0.753283i | \(0.728469\pi\) | |||||||
\(440\) | −2.82173 | + | 1.30547i | −0.134521 | + | 0.0622359i | ||||
\(441\) | 0.368636 | + | 2.24858i | 0.0175541 | + | 0.107075i | ||||
\(442\) | 2.78858 | − | 1.67783i | 0.132639 | − | 0.0798065i | ||||
\(443\) | 9.50246 | − | 5.71744i | 0.451476 | − | 0.271644i | −0.271603 | − | 0.962409i | \(-0.587554\pi\) |
0.723079 | + | 0.690765i | \(0.242726\pi\) | |||||||
\(444\) | −0.0570640 | − | 0.348075i | −0.00270814 | − | 0.0165189i | ||||
\(445\) | 10.0620 | − | 4.65518i | 0.476985 | − | 0.220677i | ||||
\(446\) | 22.7513 | − | 5.00794i | 1.07731 | − | 0.237133i | ||||
\(447\) | 7.66544 | + | 1.68729i | 0.362563 | + | 0.0798061i | ||||
\(448\) | −1.97205 | − | 0.912368i | −0.0931707 | − | 0.0431053i | ||||
\(449\) | −8.96196 | + | 32.2780i | −0.422941 | + | 1.52330i | 0.378717 | + | 0.925512i | \(0.376365\pi\) |
−0.801658 | + | 0.597783i | \(0.796049\pi\) | |||||||
\(450\) | 0.260467 | + | 4.80403i | 0.0122785 | + | 0.226464i | ||||
\(451\) | 1.68284 | − | 1.98119i | 0.0792418 | − | 0.0932907i | ||||
\(452\) | −4.19264 | − | 10.5227i | −0.197205 | − | 0.494947i | ||||
\(453\) | −1.03307 | + | 6.30146i | −0.0485379 | + | 0.296068i | ||||
\(454\) | −2.38212 | − | 8.57962i | −0.111798 | − | 0.402662i | ||||
\(455\) | −11.4280 | + | 3.85054i | −0.535753 | + | 0.180516i | ||||
\(456\) | −2.10252 | + | 3.10099i | −0.0984596 | + | 0.145217i | ||||
\(457\) | 7.70797 | − | 14.5388i | 0.360564 | − | 0.680095i | −0.635170 | − | 0.772373i | \(-0.719070\pi\) |
0.995733 | + | 0.0922774i | \(0.0294147\pi\) | |||||||
\(458\) | −12.7153 | − | 14.9696i | −0.594146 | − | 0.699483i | ||||
\(459\) | 1.33347 | − | 1.26313i | 0.0622409 | − | 0.0589577i | ||||
\(460\) | 6.69216 | − | 0.727816i | 0.312024 | − | 0.0339346i | ||||
\(461\) | 3.77740 | + | 5.57125i | 0.175931 | + | 0.259479i | 0.905423 | − | 0.424511i | \(-0.139554\pi\) |
−0.729492 | + | 0.683989i | \(0.760243\pi\) | |||||||
\(462\) | −1.71701 | − | 1.30524i | −0.0798826 | − | 0.0607252i | ||||
\(463\) | 21.9730 | + | 20.8139i | 1.02117 | + | 0.967305i | 0.999473 | − | 0.0324600i | \(-0.0103342\pi\) |
0.0216979 | + | 0.999765i | \(0.493093\pi\) | |||||||
\(464\) | −0.428526 | + | 7.90370i | −0.0198938 | + | 0.366920i | ||||
\(465\) | −17.4382 | − | 5.87561i | −0.808677 | − | 0.272475i | ||||
\(466\) | −16.8188 | + | 12.7853i | −0.779115 | + | 0.592268i | ||||
\(467\) | 18.6361 | + | 2.02679i | 0.862374 | + | 0.0937888i | 0.528607 | − | 0.848867i | \(-0.322715\pi\) |
0.333767 | + | 0.942656i | \(0.391680\pi\) | |||||||
\(468\) | 0.829949 | + | 1.56545i | 0.0383644 | + | 0.0723630i | ||||
\(469\) | −10.5236 | + | 26.4123i | −0.485936 | + | 1.21961i | ||||
\(470\) | 20.9278 | + | 12.5919i | 0.965330 | + | 0.580820i | ||||
\(471\) | 6.86860 | 0.316489 | ||||||||
\(472\) | −0.989710 | + | 7.61712i | −0.0455551 | + | 0.350606i | ||||
\(473\) | 3.05421 | 0.140433 | ||||||||
\(474\) | −5.53700 | − | 3.33150i | −0.254323 | − | 0.153021i | ||||
\(475\) | −6.67175 | + | 16.7448i | −0.306121 | + | 0.768305i | ||||
\(476\) | 1.86943 | + | 3.52611i | 0.0856850 | + | 0.161619i | ||||
\(477\) | −12.0787 | − | 1.31364i | −0.553045 | − | 0.0601472i | ||||
\(478\) | −14.0465 | + | 10.6779i | −0.642473 | + | 0.488395i | ||||
\(479\) | −4.84317 | − | 1.63186i | −0.221290 | − | 0.0745614i | 0.206473 | − | 0.978452i | \(-0.433802\pi\) |
−0.427763 | + | 0.903891i | \(0.640698\pi\) | |||||||
\(480\) | −0.169577 | + | 3.12767i | −0.00774011 | + | 0.142758i | ||||
\(481\) | −0.453725 | − | 0.429792i | −0.0206881 | − | 0.0195968i | ||||
\(482\) | 9.73909 | + | 7.40347i | 0.443604 | + | 0.337219i | ||||
\(483\) | 2.62062 | + | 3.86513i | 0.119242 | + | 0.175869i | ||||
\(484\) | 9.95604 | − | 1.08278i | 0.452547 | − | 0.0492175i | ||||
\(485\) | 17.8082 | − | 16.8688i | 0.808628 | − | 0.765973i | ||||
\(486\) | 0.647386 | + | 0.762162i | 0.0293660 | + | 0.0345724i | ||||
\(487\) | 1.51037 | − | 2.84886i | 0.0684414 | − | 0.129094i | −0.846930 | − | 0.531704i | \(-0.821552\pi\) |
0.915372 | + | 0.402610i | \(0.131897\pi\) | |||||||
\(488\) | 1.19072 | − | 1.75618i | 0.0539015 | − | 0.0794987i | ||||
\(489\) | 13.9221 | − | 4.69091i | 0.629581 | − | 0.212130i | ||||
\(490\) | 1.90940 | + | 6.87703i | 0.0862578 | + | 0.310672i | ||||
\(491\) | 1.33071 | − | 8.11698i | 0.0600542 | − | 0.366314i | −0.939653 | − | 0.342128i | \(-0.888852\pi\) |
0.999707 | − | 0.0241861i | \(-0.00769943\pi\) | |||||||
\(492\) | −0.969324 | − | 2.43282i | −0.0437005 | − | 0.109680i | ||||
\(493\) | 9.41195 | − | 11.0806i | 0.423893 | − | 0.499045i | ||||
\(494\) | 0.359393 | + | 6.62861i | 0.0161698 | + | 0.298235i | ||||
\(495\) | −0.831768 | + | 2.99576i | −0.0373852 | + | 0.134649i | ||||
\(496\) | −5.33183 | − | 2.46677i | −0.239406 | − | 0.110761i | ||||
\(497\) | 13.2670 | + | 2.92030i | 0.595108 | + | 0.130993i | ||||
\(498\) | −15.4511 | + | 3.40104i | −0.692380 | + | 0.152404i | ||||
\(499\) | −11.4038 | + | 5.27598i | −0.510506 | + | 0.236185i | −0.658193 | − | 0.752849i | \(-0.728679\pi\) |
0.147688 | + | 0.989034i | \(0.452817\pi\) | |||||||
\(500\) | −0.0957318 | − | 0.583938i | −0.00428126 | − | 0.0261145i | ||||
\(501\) | 11.8436 | − | 7.12607i | 0.529134 | − | 0.318369i | ||||
\(502\) | 13.5723 | − | 8.16615i | 0.605759 | − | 0.364473i | ||||
\(503\) | −1.21958 | − | 7.43910i | −0.0543783 | − | 0.331693i | −0.999980 | − | 0.00636568i | \(-0.997974\pi\) |
0.945601 | − | 0.325328i | \(-0.105475\pi\) | |||||||
\(504\) | −1.97205 | + | 0.912368i | −0.0878421 | + | 0.0406401i | ||||
\(505\) | −30.4210 | + | 6.69616i | −1.35372 | + | 0.297975i | ||||
\(506\) | 2.08334 | + | 0.458579i | 0.0926160 | + | 0.0203863i | ||||
\(507\) | −8.94919 | − | 4.14034i | −0.397448 | − | 0.183879i | ||||
\(508\) | 1.55174 | − | 5.58886i | 0.0688473 | − | 0.247966i | ||||
\(509\) | 1.21377 | + | 22.3867i | 0.0537996 | + | 0.992275i | 0.893454 | + | 0.449154i | \(0.148275\pi\) |
−0.839655 | + | 0.543121i | \(0.817243\pi\) | |||||||
\(510\) | 3.72452 | − | 4.38484i | 0.164925 | − | 0.194164i | ||||
\(511\) | −13.2112 | − | 33.1575i | −0.584427 | − | 1.46680i | ||||
\(512\) | −0.161782 | + | 0.986827i | −0.00714982 | + | 0.0436120i | ||||
\(513\) | 1.00231 | + | 3.61000i | 0.0442531 | + | 0.159385i | ||||
\(514\) | 20.5733 | − | 6.93194i | 0.907448 | − | 0.305755i | ||||
\(515\) | 15.9712 | − | 23.5557i | 0.703773 | − | 1.03799i | ||||
\(516\) | 1.44129 | − | 2.71855i | 0.0634491 | − | 0.119678i | ||||
\(517\) | 5.01066 | + | 5.89901i | 0.220369 | + | 0.259438i | ||||
\(518\) | 0.556419 | − | 0.527068i | 0.0244476 | − | 0.0231580i | ||||
\(519\) | 15.1281 | − | 1.64528i | 0.664050 | − | 0.0722197i | ||||
\(520\) | 3.11453 | + | 4.59359i | 0.136581 | + | 0.201442i | ||||
\(521\) | 19.4756 | + | 14.8049i | 0.853240 | + | 0.648616i | 0.937560 | − | 0.347823i | \(-0.113079\pi\) |
−0.0843207 | + | 0.996439i | \(0.526872\pi\) | |||||||
\(522\) | 5.74648 | + | 5.44335i | 0.251516 | + | 0.238249i | ||||
\(523\) | 0.679182 | − | 12.5268i | 0.0296986 | − | 0.547758i | −0.945390 | − | 0.325942i | \(-0.894319\pi\) |
0.975088 | − | 0.221816i | \(-0.0711985\pi\) | |||||||
\(524\) | −0.398296 | − | 0.134201i | −0.0173996 | − | 0.00586262i | ||||
\(525\) | −8.32228 | + | 6.32643i | −0.363214 | + | 0.276108i | ||||
\(526\) | 24.3332 | + | 2.64640i | 1.06098 | + | 0.115388i | ||||
\(527\) | 5.05437 | + | 9.53355i | 0.220172 | + | 0.415288i | ||||
\(528\) | −0.367399 | + | 0.922102i | −0.0159890 | + | 0.0401293i | ||||
\(529\) | 15.7501 | + | 9.47654i | 0.684788 | + | 0.412023i | ||||
\(530\) | −38.0567 | −1.65308 | ||||||||
\(531\) | 5.16475 | + | 5.68554i | 0.224131 | + | 0.246731i | ||||
\(532\) | −8.14082 | −0.352949 | ||||||||
\(533\) | −3.97595 | − | 2.39225i | −0.172217 | − | 0.103620i | ||||
\(534\) | 1.31011 | − | 3.28813i | 0.0566940 | − | 0.142291i | ||||
\(535\) | −11.6046 | − | 21.8886i | −0.501710 | − | 0.946325i | ||||
\(536\) | 13.0081 | + | 1.41471i | 0.561863 | + | 0.0611063i | ||||
\(537\) | −15.5873 | + | 11.8492i | −0.672643 | + | 0.511330i | ||||
\(538\) | 13.2824 | + | 4.47535i | 0.572644 | + | 0.192946i | ||||
\(539\) | −0.122448 | + | 2.25842i | −0.00527421 | + | 0.0972771i | ||||
\(540\) | 2.27401 | + | 2.15406i | 0.0978578 | + | 0.0926959i | ||||
\(541\) | 16.2428 | + | 12.3475i | 0.698333 | + | 0.530859i | 0.893026 | − | 0.450005i | \(-0.148578\pi\) |
−0.194693 | + | 0.980864i | \(0.562371\pi\) | |||||||
\(542\) | 2.50013 | + | 3.68742i | 0.107390 | + | 0.158388i | ||||
\(543\) | −8.56905 | + | 0.931941i | −0.367733 | + | 0.0399934i | ||||
\(544\) | 1.33347 | − | 1.26313i | 0.0571719 | − | 0.0541561i | ||||
\(545\) | 17.3930 | + | 20.4766i | 0.745035 | + | 0.877123i | ||||
\(546\) | −1.80338 | + | 3.40153i | −0.0771775 | + | 0.145572i | ||||
\(547\) | 4.46511 | − | 6.58554i | 0.190914 | − | 0.281577i | −0.720170 | − | 0.693798i | \(-0.755936\pi\) |
0.911084 | + | 0.412220i | \(0.135247\pi\) | |||||||
\(548\) | −9.55868 | + | 3.22070i | −0.408327 | + | 0.137581i | ||||
\(549\) | −0.567640 | − | 2.04445i | −0.0242263 | − | 0.0872552i | ||||
\(550\) | −0.772587 | + | 4.71257i | −0.0329432 | + | 0.200945i | ||||
\(551\) | 10.9765 | + | 27.5490i | 0.467615 | + | 1.17363i | ||||
\(552\) | 1.39131 | − | 1.63798i | 0.0592182 | − | 0.0697170i | ||||
\(553\) | −0.760170 | − | 14.0205i | −0.0323257 | − | 0.596213i | ||||
\(554\) | 1.83719 | − | 6.61697i | 0.0780549 | − | 0.281128i | ||||
\(555\) | −1.00271 | − | 0.463901i | −0.0425625 | − | 0.0196915i | ||||
\(556\) | 14.7337 | + | 3.24314i | 0.624849 | + | 0.137540i | ||||
\(557\) | 13.6158 | − | 2.99706i | 0.576919 | − | 0.126989i | 0.0830800 | − | 0.996543i | \(-0.473524\pi\) |
0.493839 | + | 0.869553i | \(0.335593\pi\) | |||||||
\(558\) | −5.33183 | + | 2.46677i | −0.225714 | + | 0.104427i | ||||
\(559\) | −0.882028 | − | 5.38013i | −0.0373058 | − | 0.227555i | ||||
\(560\) | −5.83180 | + | 3.50888i | −0.246438 | + | 0.148277i | ||||
\(561\) | 1.56218 | − | 0.939932i | 0.0659553 | − | 0.0396840i | ||||
\(562\) | 2.17322 | + | 13.2560i | 0.0916717 | + | 0.559172i | ||||
\(563\) | 23.2574 | − | 10.7600i | 0.980181 | − | 0.453480i | 0.136684 | − | 0.990615i | \(-0.456355\pi\) |
0.843497 | + | 0.537135i | \(0.180493\pi\) | |||||||
\(564\) | 7.61524 | − | 1.67624i | 0.320659 | − | 0.0705825i | ||||
\(565\) | −34.6504 | − | 7.62712i | −1.45775 | − | 0.320875i | ||||
\(566\) | 21.0789 | + | 9.75213i | 0.886012 | + | 0.409913i | ||||
\(567\) | −0.581307 | + | 2.09368i | −0.0244126 | + | 0.0879262i | ||||
\(568\) | −0.338472 | − | 6.24275i | −0.0142020 | − | 0.261940i | ||||
\(569\) | −18.6178 | + | 21.9186i | −0.780498 | + | 0.918874i | −0.998368 | − | 0.0571041i | \(-0.981813\pi\) |
0.217870 | + | 0.975978i | \(0.430089\pi\) | |||||||
\(570\) | 4.34365 | + | 10.9018i | 0.181936 | + | 0.456624i | ||||
\(571\) | 5.13905 | − | 31.3468i | 0.215062 | − | 1.31182i | −0.629766 | − | 0.776785i | \(-0.716849\pi\) |
0.844828 | − | 0.535038i | \(-0.179703\pi\) | |||||||
\(572\) | 0.470512 | + | 1.69463i | 0.0196731 | + | 0.0708561i | ||||
\(573\) | −5.57540 | + | 1.87857i | −0.232916 | + | 0.0784784i | ||||
\(574\) | 3.19336 | − | 4.70986i | 0.133288 | − | 0.196586i | ||||
\(575\) | 4.84316 | − | 9.13517i | 0.201974 | − | 0.380963i | ||||
\(576\) | 0.647386 | + | 0.762162i | 0.0269744 | + | 0.0317568i | ||||
\(577\) | −29.9075 | + | 28.3299i | −1.24506 | + | 1.17939i | −0.268708 | + | 0.963222i | \(0.586597\pi\) |
−0.976357 | + | 0.216166i | \(0.930645\pi\) | |||||||
\(578\) | 13.5465 | − | 1.47327i | 0.563460 | − | 0.0612800i | ||||
\(579\) | −5.66145 | − | 8.35001i | −0.235282 | − | 0.347015i | ||||
\(580\) | 19.7374 | + | 15.0040i | 0.819551 | + | 0.623007i | ||||
\(581\) | −24.9576 | − | 23.6411i | −1.03542 | − | 0.980798i | ||||
\(582\) | 0.423972 | − | 7.81969i | 0.0175742 | − | 0.324137i | ||||
\(583\) | −11.4287 | − | 3.85077i | −0.473328 | − | 0.159483i | ||||
\(584\) | −13.0769 | + | 9.94081i | −0.541127 | + | 0.411354i | ||||
\(585\) | 5.51737 | + | 0.600050i | 0.228115 | + | 0.0248090i | ||||
\(586\) | −8.71397 | − | 16.4363i | −0.359971 | − | 0.678977i | ||||
\(587\) | −3.91079 | + | 9.81534i | −0.161416 | + | 0.405122i | −0.987332 | − | 0.158671i | \(-0.949279\pi\) |
0.825916 | + | 0.563793i | \(0.190658\pi\) | |||||||
\(588\) | 1.95243 | + | 1.17474i | 0.0805170 | + | 0.0484455i | ||||
\(589\) | −22.0103 | −0.906920 | ||||||||
\(590\) | 18.0080 | + | 15.9551i | 0.741377 | + | 0.656862i | ||||
\(591\) | −13.5618 | −0.557858 | ||||||||
\(592\) | −0.302232 | − | 0.181847i | −0.0124217 | − | 0.00747387i | ||||
\(593\) | 5.40962 | − | 13.5771i | 0.222147 | − | 0.557546i | −0.775089 | − | 0.631852i | \(-0.782295\pi\) |
0.997235 | + | 0.0743063i | \(0.0236743\pi\) | |||||||
\(594\) | 0.464942 | + | 0.876974i | 0.0190768 | + | 0.0359827i | ||||
\(595\) | 12.4276 | + | 1.35159i | 0.509484 | + | 0.0554097i | ||||
\(596\) | 6.24849 | − | 4.74998i | 0.255948 | − | 0.194567i | ||||
\(597\) | 4.01270 | + | 1.35204i | 0.164229 | + | 0.0553351i | ||||
\(598\) | 0.206157 | − | 3.80234i | 0.00843037 | − | 0.155489i | ||||
\(599\) | −28.2395 | − | 26.7498i | −1.15383 | − | 1.09297i | −0.994392 | − | 0.105762i | \(-0.966272\pi\) |
−0.159442 | − | 0.987207i | \(-0.550969\pi\) | |||||||
\(600\) | 3.83007 | + | 2.91154i | 0.156362 | + | 0.118863i | ||||
\(601\) | 6.28467 | + | 9.26920i | 0.256357 | + | 0.378098i | 0.933988 | − | 0.357303i | \(-0.116304\pi\) |
−0.677631 | + | 0.735402i | \(0.736993\pi\) | |||||||
\(602\) | 6.64672 | − | 0.722875i | 0.270900 | − | 0.0294622i | ||||
\(603\) | 9.49949 | − | 8.99839i | 0.386849 | − | 0.366443i | ||||
\(604\) | 4.13393 | + | 4.86684i | 0.168207 | + | 0.198029i | ||||
\(605\) | 14.6934 | − | 27.7147i | 0.597373 | − | 1.12676i | ||||
\(606\) | −5.58080 | + | 8.23106i | −0.226704 | + | 0.334364i | ||||
\(607\) | 1.53034 | − | 0.515632i | 0.0621146 | − | 0.0209288i | −0.288073 | − | 0.957609i | \(-0.593014\pi\) |
0.350187 | + | 0.936680i | \(0.386118\pi\) | |||||||
\(608\) | 1.00231 | + | 3.61000i | 0.0406491 | + | 0.146405i | ||||
\(609\) | −2.78249 | + | 16.9724i | −0.112752 | + | 0.687757i | ||||
\(610\) | −2.45994 | − | 6.17400i | −0.0996003 | − | 0.249978i | ||||
\(611\) | 8.94433 | − | 10.5301i | 0.361849 | − | 0.426002i | ||||
\(612\) | −0.0994392 | − | 1.83405i | −0.00401959 | − | 0.0741370i | ||||
\(613\) | −7.01515 | + | 25.2663i | −0.283339 | + | 1.02050i | 0.675689 | + | 0.737187i | \(0.263846\pi\) |
−0.959028 | + | 0.283310i | \(0.908568\pi\) | |||||||
\(614\) | −24.2143 | − | 11.2027i | −0.977211 | − | 0.452106i | ||||
\(615\) | −8.01105 | − | 1.76337i | −0.323037 | − | 0.0711058i | ||||
\(616\) | −2.10637 | + | 0.463648i | −0.0848682 | + | 0.0186809i | ||||
\(617\) | −26.5069 | + | 12.2634i | −1.06713 | + | 0.493706i | −0.873226 | − | 0.487315i | \(-0.837976\pi\) |
−0.193902 | + | 0.981021i | \(0.562114\pi\) | |||||||
\(618\) | −1.46994 | − | 8.96625i | −0.0591298 | − | 0.360676i | ||||
\(619\) | 39.6883 | − | 23.8797i | 1.59521 | − | 0.959804i | 0.609217 | − | 0.793004i | \(-0.291484\pi\) |
0.985991 | − | 0.166801i | \(-0.0533437\pi\) | |||||||
\(620\) | −15.7674 | + | 9.48694i | −0.633235 | + | 0.381005i | ||||
\(621\) | −0.347689 | − | 2.12081i | −0.0139523 | − | 0.0851052i | ||||
\(622\) | 9.45486 | − | 4.37429i | 0.379105 | − | 0.175393i | ||||
\(623\) | 7.51113 | − | 1.65332i | 0.300927 | − | 0.0662390i | ||||
\(624\) | 1.73042 | + | 0.380895i | 0.0692724 | + | 0.0152480i | ||||
\(625\) | −23.5143 | − | 10.8789i | −0.940571 | − | 0.435154i | ||||
\(626\) | −5.98583 | + | 21.5590i | −0.239242 | + | 0.861672i | ||||
\(627\) | 0.201334 | + | 3.71338i | 0.00804049 | + | 0.148298i | ||||
\(628\) | 4.44664 | − | 5.23499i | 0.177440 | − | 0.208899i | ||||
\(629\) | 0.239797 | + | 0.601846i | 0.00956135 | + | 0.0239972i | ||||
\(630\) | −1.10109 | + | 6.71637i | −0.0438686 | + | 0.267587i | ||||
\(631\) | −5.02608 | − | 18.1023i | −0.200085 | − | 0.720642i | −0.993685 | − | 0.112202i | \(-0.964210\pi\) |
0.793600 | − | 0.608440i | \(-0.208204\pi\) | |||||||
\(632\) | −6.12372 | + | 2.06332i | −0.243588 | + | 0.0820745i | ||||
\(633\) | −7.37843 | + | 10.8824i | −0.293266 | + | 0.432535i | ||||
\(634\) | −12.3091 | + | 23.2174i | −0.488857 | + | 0.922082i | ||||
\(635\) | −11.7617 | − | 13.8470i | −0.466750 | − | 0.549501i | ||||
\(636\) | −8.82078 | + | 8.35548i | −0.349767 | + | 0.331316i | ||||
\(637\) | 4.01367 | − | 0.436513i | 0.159027 | − | 0.0172953i | ||||
\(638\) | 4.40910 | + | 6.50293i | 0.174558 | + | 0.257453i | ||||
\(639\) | −4.97711 | − | 3.78350i | −0.196891 | − | 0.149673i | ||||
\(640\) | 2.27401 | + | 2.15406i | 0.0898882 | + | 0.0851466i | ||||
\(641\) | 2.63866 | − | 48.6672i | 0.104221 | − | 1.92224i | −0.218660 | − | 0.975801i | \(-0.570169\pi\) |
0.322881 | − | 0.946440i | \(-0.395349\pi\) | |||||||
\(642\) | −7.49542 | − | 2.52550i | −0.295820 | − | 0.0996735i | ||||
\(643\) | 0.233696 | − | 0.177651i | 0.00921607 | − | 0.00700587i | −0.600556 | − | 0.799583i | \(-0.705054\pi\) |
0.609772 | + | 0.792577i | \(0.291261\pi\) | |||||||
\(644\) | 4.64241 | + | 0.504892i | 0.182936 | + | 0.0198955i | ||||
\(645\) | −4.51449 | − | 8.51523i | −0.177758 | − | 0.335287i | ||||
\(646\) | 2.54709 | − | 6.39272i | 0.100214 | − | 0.251518i | ||||
\(647\) | 31.0054 | + | 18.6553i | 1.21895 | + | 0.733417i | 0.971856 | − | 0.235575i | \(-0.0756975\pi\) |
0.247092 | + | 0.968992i | \(0.420525\pi\) | |||||||
\(648\) | 1.00000 | 0.0392837 | ||||||||
\(649\) | 3.79350 | + | 6.61357i | 0.148908 | + | 0.259605i | ||||
\(650\) | 8.52452 | 0.334359 | ||||||||
\(651\) | −10.9380 | − | 6.58117i | −0.428694 | − | 0.257936i | ||||
\(652\) | 5.43776 | − | 13.6478i | 0.212959 | − | 0.534487i | ||||
\(653\) | −7.27745 | − | 13.7267i | −0.284789 | − | 0.537168i | 0.699304 | − | 0.714824i | \(-0.253493\pi\) |
−0.984093 | + | 0.177656i | \(0.943149\pi\) | |||||||
\(654\) | 8.52706 | + | 0.927374i | 0.333435 | + | 0.0362632i | ||||
\(655\) | −1.04804 | + | 0.796700i | −0.0409504 | + | 0.0311297i | ||||
\(656\) | −2.48173 | − | 0.836192i | −0.0968953 | − | 0.0326478i | ||||
\(657\) | −0.889305 | + | 16.4023i | −0.0346951 | + | 0.639914i | ||||
\(658\) | 12.3006 | + | 11.6518i | 0.479528 | + | 0.454233i | ||||
\(659\) | −15.8602 | − | 12.0566i | −0.617827 | − | 0.469660i | 0.248841 | − | 0.968544i | \(-0.419950\pi\) |
−0.866669 | + | 0.498884i | \(0.833743\pi\) | |||||||
\(660\) | 1.74478 | + | 2.57336i | 0.0679154 | + | 0.100168i | ||||
\(661\) | 41.2816 | − | 4.48964i | 1.60567 | − | 0.174627i | 0.739068 | − | 0.673631i | \(-0.235266\pi\) |
0.866600 | + | 0.499004i | \(0.166301\pi\) | |||||||
\(662\) | −0.144648 | + | 0.137017i | −0.00562189 | + | 0.00532533i | ||||
\(663\) | −2.10687 | − | 2.48040i | −0.0818242 | − | 0.0963309i | ||||
\(664\) | −7.41068 | + | 13.9780i | −0.287590 | + | 0.542453i | ||||
\(665\) | −14.3098 | + | 21.1054i | −0.554911 | + | 0.818433i | ||||
\(666\) | −0.334258 | + | 0.112625i | −0.0129522 | + | 0.00436412i | ||||
\(667\) | −4.55091 | − | 16.3909i | −0.176212 | − | 0.634659i | ||||
\(668\) | 2.23618 | − | 13.6401i | 0.0865203 | − | 0.527751i | ||||
\(669\) | −8.62273 | − | 21.6414i | −0.333374 | − | 0.836705i | ||||
\(670\) | 26.5331 | − | 31.2372i | 1.02506 | − | 1.20680i | ||||
\(671\) | −0.114021 | − | 2.10300i | −0.00440175 | − | 0.0811855i | ||||
\(672\) | −0.581307 | + | 2.09368i | −0.0224244 | + | 0.0807653i | ||||
\(673\) | 8.31465 | + | 3.84677i | 0.320506 | + | 0.148282i | 0.573545 | − | 0.819174i | \(-0.305568\pi\) |
−0.253039 | + | 0.967456i | \(0.581430\pi\) | |||||||
\(674\) | −26.3329 | − | 5.79630i | −1.01430 | − | 0.223265i | ||||
\(675\) | 4.69860 | − | 1.03424i | 0.180849 | − | 0.0398080i | ||||
\(676\) | −8.94919 | + | 4.14034i | −0.344200 | + | 0.159244i | ||||
\(677\) | 2.21331 | + | 13.5006i | 0.0850645 | + | 0.518870i | 0.994646 | + | 0.103344i | \(0.0329543\pi\) |
−0.909581 | + | 0.415526i | \(0.863597\pi\) | |||||||
\(678\) | −9.70581 | + | 5.83979i | −0.372749 | + | 0.224276i | ||||
\(679\) | 14.5805 | − | 8.77277i | 0.559546 | − | 0.336668i | ||||
\(680\) | −0.930758 | − | 5.67738i | −0.0356930 | − | 0.217717i | ||||
\(681\) | −8.08121 | + | 3.73877i | −0.309673 | + | 0.143270i | ||||
\(682\) | −5.69500 | + | 1.25356i | −0.218073 | + | 0.0480015i | ||||
\(683\) | 29.6954 | + | 6.53645i | 1.13626 | + | 0.250110i | 0.742984 | − | 0.669309i | \(-0.233410\pi\) |
0.393278 | + | 0.919419i | \(0.371341\pi\) | |||||||
\(684\) | 3.40029 | + | 1.57314i | 0.130013 | + | 0.0601505i | ||||
\(685\) | −8.45234 | + | 30.4426i | −0.322947 | + | 1.16315i | ||||
\(686\) | 1.09151 | + | 20.1317i | 0.0416740 | + | 0.768632i | ||||
\(687\) | −12.7153 | + | 14.9696i | −0.485118 | + | 0.571125i | ||||
\(688\) | −1.13891 | − | 2.85845i | −0.0434205 | − | 0.108977i | ||||
\(689\) | −3.48281 | + | 21.2442i | −0.132685 | + | 0.809340i | ||||
\(690\) | −1.80090 | − | 6.48625i | −0.0685591 | − | 0.246927i | ||||
\(691\) | −9.37483 | + | 3.15875i | −0.356635 | + | 0.120164i | −0.491915 | − | 0.870643i | \(-0.663703\pi\) |
0.135280 | + | 0.990807i | \(0.456807\pi\) | |||||||
\(692\) | 8.53975 | − | 12.5952i | 0.324633 | − | 0.478797i | ||||
\(693\) | −1.01026 | + | 1.90556i | −0.0383767 | + | 0.0723861i | ||||
\(694\) | −21.7777 | − | 25.6387i | −0.826669 | − | 0.973230i | ||||
\(695\) | 34.3067 | − | 32.4971i | 1.30133 | − | 1.23268i | ||||
\(696\) | 7.86891 | − | 0.855795i | 0.298270 | − | 0.0324388i | ||||
\(697\) | 2.69936 | + | 3.98126i | 0.102246 | + | 0.150801i | ||||
\(698\) | 12.1535 | + | 9.23889i | 0.460019 | + | 0.349697i | ||||
\(699\) | 15.3379 | + | 14.5288i | 0.580131 | + | 0.549529i | ||||
\(700\) | −0.565963 | + | 10.4386i | −0.0213914 | + | 0.394541i | ||||
\(701\) | 25.6249 | + | 8.63405i | 0.967840 | + | 0.326103i | 0.758452 | − | 0.651729i | \(-0.225956\pi\) |
0.209389 | + | 0.977833i | \(0.432853\pi\) | |||||||
\(702\) | 1.41056 | − | 1.07228i | 0.0532380 | − | 0.0404705i | ||||
\(703\) | −1.31375 | − | 0.142879i | −0.0495489 | − | 0.00538877i | ||||
\(704\) | 0.464942 | + | 0.876974i | 0.0175232 | + | 0.0330522i | ||||
\(705\) | 9.04024 | − | 22.6893i | 0.340475 | − | 0.854528i | ||||
\(706\) | 22.9280 | + | 13.7953i | 0.862906 | + | 0.519193i | ||||
\(707\) | −21.6085 | −0.812670 | ||||||||
\(708\) | 7.67689 | − | 0.255641i | 0.288515 | − | 0.00960756i | ||||
\(709\) | −40.5059 | −1.52123 | −0.760616 | − | 0.649202i | \(-0.775103\pi\) | ||||
−0.760616 | + | 0.649202i | \(0.775103\pi\) | |||||||
\(710\) | −16.7795 | − | 10.0959i | −0.629725 | − | 0.378893i | ||||
\(711\) | −2.39183 | + | 6.00303i | −0.0897005 | + | 0.225131i | ||||
\(712\) | −1.65794 | − | 3.12720i | −0.0621339 | − | 0.117197i | ||||
\(713\) | 12.5517 | + | 1.36508i | 0.470064 | + | 0.0511225i | ||||
\(714\) | 3.17722 | − | 2.41526i | 0.118905 | − | 0.0903889i | ||||
\(715\) | 5.22046 | + | 1.75898i | 0.195234 | + | 0.0657821i | ||||
\(716\) | −1.06003 | + | 19.5511i | −0.0396151 | + | 0.730658i | ||||
\(717\) | 12.8097 | + | 12.1340i | 0.478387 | + | 0.453152i | ||||
\(718\) | 2.58037 | + | 1.96154i | 0.0962984 | + | 0.0732041i | ||||
\(719\) | −16.6529 | − | 24.5611i | −0.621047 | − | 0.915976i | 0.378908 | − | 0.925434i | \(-0.376300\pi\) |
−0.999955 | + | 0.00945834i | \(0.996989\pi\) | |||||||
\(720\) | 3.11390 | − | 0.338657i | 0.116048 | − | 0.0126210i | ||||
\(721\) | 14.3331 | − | 13.5770i | 0.533792 | − | 0.505634i | ||||
\(722\) | −3.21316 | − | 3.78282i | −0.119581 | − | 0.140782i | ||||
\(723\) | 5.73033 | − | 10.8085i | 0.213113 | − | 0.401974i | ||||
\(724\) | −4.83720 | + | 7.13433i | −0.179773 | + | 0.265145i | ||||
\(725\) | 36.0878 | − | 12.1594i | 1.34027 | − | 0.451588i | ||||
\(726\) | −2.67923 | − | 9.64971i | −0.0994355 | − | 0.358134i | ||||
\(727\) | −5.85488 | + | 35.7132i | −0.217146 | + | 1.32453i | 0.623023 | + | 0.782204i | \(0.285904\pi\) |
−0.840168 | + | 0.542326i | \(0.817544\pi\) | |||||||
\(728\) | 1.42504 | + | 3.57657i | 0.0528154 | + | 0.132557i | ||||
\(729\) | 0.647386 | − | 0.762162i | 0.0239773 | − | 0.0282282i | ||||
\(730\) | 2.78554 | + | 51.3763i | 0.103097 | + | 1.90152i | ||||
\(731\) | −1.51197 | + | 5.44563i | −0.0559223 | + | 0.201414i | ||||
\(732\) | −1.92569 | − | 0.890918i | −0.0711754 | − | 0.0329293i | ||||
\(733\) | −34.6270 | − | 7.62198i | −1.27898 | − | 0.281524i | −0.477013 | − | 0.878896i | \(-0.658281\pi\) |
−0.801964 | + | 0.597372i | \(0.796212\pi\) | |||||||
\(734\) | 10.7616 | − | 2.36881i | 0.397219 | − | 0.0874345i | ||||
\(735\) | 6.47753 | − | 2.99682i | 0.238927 | − | 0.110539i | ||||
\(736\) | −0.347689 | − | 2.12081i | −0.0128160 | − | 0.0781741i | ||||
\(737\) | 11.1288 | − | 6.69599i | 0.409935 | − | 0.246650i | ||||
\(738\) | −2.24395 | + | 1.35014i | −0.0826010 | + | 0.0496994i | ||||
\(739\) | −1.74423 | − | 10.6393i | −0.0641626 | − | 0.391375i | −0.999311 | − | 0.0371180i | \(-0.988182\pi\) |
0.935148 | − | 0.354257i | \(-0.115266\pi\) | |||||||
\(740\) | −1.00271 | + | 0.463901i | −0.0368602 | + | 0.0170533i | ||||
\(741\) | 6.48314 | − | 1.42705i | 0.238164 | − | 0.0524239i | ||||
\(742\) | −25.7830 | − | 5.67528i | −0.946525 | − | 0.208346i | ||||
\(743\) | −16.5546 | − | 7.65897i | −0.607329 | − | 0.280980i | 0.0920238 | − | 0.995757i | \(-0.470666\pi\) |
−0.699353 | + | 0.714776i | \(0.746528\pi\) | |||||||
\(744\) | −1.57168 | + | 5.66067i | −0.0576205 | + | 0.207530i | ||||
\(745\) | −1.33100 | − | 24.5489i | −0.0487642 | − | 0.899403i | ||||
\(746\) | 13.9779 | − | 16.4560i | 0.511767 | − | 0.602498i | ||||
\(747\) | 5.85595 | + | 14.6973i | 0.214258 | + | 0.537747i | ||||
\(748\) | 0.294953 | − | 1.79913i | 0.0107845 | − | 0.0657828i | ||||
\(749\) | −4.59782 | − | 16.5598i | −0.168001 | − | 0.605083i | ||||
\(750\) | −0.560758 | + | 0.188941i | −0.0204760 | + | 0.00689917i | ||||
\(751\) | −17.6366 | + | 26.0120i | −0.643569 | + | 0.949193i | 0.356321 | + | 0.934363i | \(0.384031\pi\) |
−0.999890 | + | 0.0148293i | \(0.995280\pi\) | |||||||
\(752\) | 3.65243 | − | 6.88922i | 0.133191 | − | 0.251224i | ||||
\(753\) | −10.2543 | − | 12.0723i | −0.373688 | − | 0.439940i | ||||
\(754\) | 10.1819 | − | 9.64480i | 0.370803 | − | 0.351243i | ||||
\(755\) | 19.8841 | − | 2.16252i | 0.723655 | − | 0.0787023i | ||||
\(756\) | 1.21939 | + | 1.79847i | 0.0443488 | + | 0.0654096i | ||||
\(757\) | 23.8915 | + | 18.1619i | 0.868352 | + | 0.660104i | 0.941425 | − | 0.337223i | \(-0.109488\pi\) |
−0.0730733 | + | 0.997327i | \(0.523281\pi\) | |||||||
\(758\) | −27.0176 | − | 25.5925i | −0.981325 | − | 0.929560i | ||||
\(759\) | 0.115490 | − | 2.13009i | 0.00419203 | − | 0.0773174i | ||||
\(760\) | 11.1209 | + | 3.74708i | 0.403398 | + | 0.135921i | ||||
\(761\) | −14.2998 | + | 10.8704i | −0.518367 | + | 0.394052i | −0.831387 | − | 0.555694i | \(-0.812453\pi\) |
0.313020 | + | 0.949747i | \(0.398659\pi\) | |||||||
\(762\) | −5.76628 | − | 0.627121i | −0.208890 | − | 0.0227182i | ||||
\(763\) | 8.72997 | + | 16.4665i | 0.316046 | + | 0.596126i | ||||
\(764\) | −2.17766 | + | 5.46552i | −0.0787850 | + | 0.197736i | ||||
\(765\) | −4.92964 | − | 2.96607i | −0.178232 | − | 0.107238i | ||||
\(766\) | −16.8176 | −0.607644 | ||||||||
\(767\) | 10.5546 | − | 8.59235i | 0.381104 | − | 0.310252i | ||||
\(768\) | 1.00000 | 0.0360844 | ||||||||
\(769\) | −29.7175 | − | 17.8804i | −1.07164 | − | 0.644784i | −0.133502 | − | 0.991048i | \(-0.542622\pi\) |
−0.938137 | + | 0.346265i | \(0.887450\pi\) | |||||||
\(770\) | −2.50053 | + | 6.27586i | −0.0901128 | + | 0.226166i | ||||
\(771\) | −10.1690 | − | 19.1808i | −0.366228 | − | 0.690779i | ||||
\(772\) | −10.0292 | − | 1.09074i | −0.360959 | − | 0.0392566i | ||||
\(773\) | −3.70186 | + | 2.81408i | −0.133147 | + | 0.101215i | −0.669628 | − | 0.742697i | \(-0.733546\pi\) |
0.536481 | + | 0.843912i | \(0.319753\pi\) | |||||||
\(774\) | −2.91591 | − | 0.982486i | −0.104810 | − | 0.0353147i | ||||
\(775\) | −1.53019 | + | 28.2227i | −0.0549662 | + | 1.01379i | ||||
\(776\) | −5.68540 | − | 5.38550i | −0.204094 | − | 0.193328i | ||||
\(777\) | −0.610143 | − | 0.463819i | −0.0218888 | − | 0.0166394i | ||||
\(778\) | −11.3967 | − | 16.8089i | −0.408593 | − | 0.602629i | ||||
\(779\) | −9.75404 | + | 1.06082i | −0.349475 | + | 0.0380077i | ||||
\(780\) | 4.02920 | − | 3.81666i | 0.144269 | − | 0.136659i | ||||
\(781\) | −4.01745 | − | 4.72971i | −0.143756 | − | 0.169242i | ||||
\(782\) | −1.84899 | + | 3.48756i | −0.0661197 | + | 0.124715i | ||||
\(783\) | 4.44197 | − | 6.55141i | 0.158743 | − | 0.234128i | ||||
\(784\) | 2.15932 | − | 0.727560i | 0.0771186 | − | 0.0259843i | ||||
\(785\) | −5.75568 | − | 20.7301i | −0.205429 | − | 0.739889i | ||||
\(786\) | −0.0679964 | + | 0.414760i | −0.00242535 | + | 0.0147940i | ||||
\(787\) | 10.7708 | + | 27.0327i | 0.383938 | + | 0.963613i | 0.986236 | + | 0.165342i | \(0.0528726\pi\) |
−0.602298 | + | 0.798271i | \(0.705748\pi\) | |||||||
\(788\) | −8.77973 | + | 10.3363i | −0.312765 | + | 0.368215i | ||||
\(789\) | −1.32514 | − | 24.4408i | −0.0471763 | − | 0.870115i | ||||
\(790\) | −5.41495 | + | 19.5029i | −0.192655 | + | 0.693881i | ||||
\(791\) | −22.3379 | − | 10.3346i | −0.794243 | − | 0.367456i | ||||
\(792\) | 0.969393 | + | 0.213380i | 0.0344459 | + | 0.00758211i | ||||
\(793\) | −3.67160 | + | 0.808181i | −0.130382 | + | 0.0286993i | ||||
\(794\) | −4.45346 | + | 2.06039i | −0.158047 | + | 0.0731204i | ||||
\(795\) | 6.15689 | + | 37.5554i | 0.218362 | + | 1.33195i | ||||
\(796\) | 3.62824 | − | 2.18304i | 0.128599 | − | 0.0773757i | ||||
\(797\) | −21.3270 | + | 12.8320i | −0.755440 | + | 0.454533i | −0.840479 | − | 0.541845i | \(-0.817726\pi\) |
0.0850389 | + | 0.996378i | \(0.472899\pi\) | |||||||
\(798\) | 1.31704 | + | 8.03358i | 0.0466227 | + | 0.284386i | ||||
\(799\) | −12.9984 | + | 6.01368i | −0.459849 | + | 0.212749i | ||||
\(800\) | 4.69860 | − | 1.03424i | 0.166121 | − | 0.0365659i | ||||
\(801\) | −3.45676 | − | 0.760891i | −0.122139 | − | 0.0268848i | ||||
\(802\) | −19.3478 | − | 8.95126i | −0.683196 | − | 0.316080i | ||||
\(803\) | −4.36200 | + | 15.7105i | −0.153932 | + | 0.554411i | ||||
\(804\) | −0.708395 | − | 13.0656i | −0.0249832 | − | 0.460788i | ||||
\(805\) | 9.46932 | − | 11.1481i | 0.333750 | − | 0.392920i | ||||
\(806\) | 3.85287 | + | 9.66998i | 0.135712 | + | 0.340610i | ||||
\(807\) | 2.26755 | − | 13.8314i | 0.0798215 | − | 0.486890i | ||||
\(808\) | 2.66047 | + | 9.58215i | 0.0935950 | + | 0.337099i | ||||
\(809\) | −44.1485 | + | 14.8754i | −1.55218 | + | 0.522990i | −0.959321 | − | 0.282317i | \(-0.908897\pi\) |
−0.592858 | + | 0.805307i | \(0.702000\pi\) | |||||||
\(810\) | 1.75779 | − | 2.59254i | 0.0617623 | − | 0.0910926i | ||||
\(811\) | −1.82101 | + | 3.43479i | −0.0639444 | + | 0.120612i | −0.913424 | − | 0.407010i | \(-0.866571\pi\) |
0.849479 | + | 0.527622i | \(0.176916\pi\) | |||||||
\(812\) | 11.1344 | + | 13.1084i | 0.390741 | + | 0.460015i | ||||
\(813\) | 3.23437 | − | 3.06376i | 0.113434 | − | 0.107451i | ||||
\(814\) | −0.348059 | + | 0.0378537i | −0.0121995 | + | 0.00132677i | ||||
\(815\) | −25.8239 | − | 38.0875i | −0.904573 | − | 1.33415i | ||||
\(816\) | −1.46222 | − | 1.11155i | −0.0511879 | − | 0.0389120i | ||||
\(817\) | −8.36936 | − | 7.92788i | −0.292807 | − | 0.277361i | ||||
\(818\) | 1.61107 | − | 29.7145i | 0.0563298 | − | 1.03894i | ||||
\(819\) | 3.64848 | + | 1.22932i | 0.127488 | + | 0.0429557i | ||||
\(820\) | −6.53022 | + | 4.96414i | −0.228045 | + | 0.173355i | ||||
\(821\) | −12.0710 | − | 1.31280i | −0.421280 | − | 0.0458170i | −0.104976 | − | 0.994475i | \(-0.533477\pi\) |
−0.316304 | + | 0.948658i | \(0.602442\pi\) | |||||||
\(822\) | 4.72469 | + | 8.91171i | 0.164793 | + | 0.310832i | ||||
\(823\) | −12.6888 | + | 31.8465i | −0.442304 | + | 1.11010i | 0.523776 | + | 0.851856i | \(0.324523\pi\) |
−0.966080 | + | 0.258243i | \(0.916856\pi\) | |||||||
\(824\) | −7.78536 | − | 4.68429i | −0.271216 | − | 0.163185i | ||||
\(825\) | 4.77548 | 0.166261 | ||||||||
\(826\) | 9.82089 | + | 13.4949i | 0.341713 | + | 0.469548i | ||||
\(827\) | −45.4289 | −1.57972 | −0.789859 | − | 0.613288i | \(-0.789846\pi\) | ||||
−0.789859 | + | 0.613288i | \(0.789846\pi\) | |||||||
\(828\) | −1.84149 | − | 1.10799i | −0.0639962 | − | 0.0385053i | ||||
\(829\) | −13.0936 | + | 32.8626i | −0.454761 | + | 1.14136i | 0.505641 | + | 0.862744i | \(0.331256\pi\) |
−0.960402 | + | 0.278619i | \(0.910123\pi\) | |||||||
\(830\) | 23.2122 | + | 43.7829i | 0.805708 | + | 1.51973i | ||||
\(831\) | −6.82703 | − | 0.742484i | −0.236827 | − | 0.0257565i | ||||
\(832\) | 1.41056 | − | 1.07228i | 0.0489023 | − | 0.0371745i | ||||
\(833\) | −3.96612 | − | 1.33634i | −0.137418 | − | 0.0463015i | ||||
\(834\) | 0.816764 | − | 15.0643i | 0.0282822 | − | 0.521635i | ||||
\(835\) | −31.4318 | − | 29.7737i | −1.08774 | − | 1.03036i | ||||
\(836\) | 2.96054 | + | 2.25054i | 0.102392 | + | 0.0778367i | ||||
\(837\) | 3.29687 | + | 4.86251i | 0.113956 | + | 0.168073i | ||||
\(838\) | −9.56090 | + | 1.03981i | −0.330276 | + | 0.0359197i | ||||
\(839\) | −15.3605 | + | 14.5503i | −0.530305 | + | 0.502331i | −0.905345 | − | 0.424677i | \(-0.860388\pi\) |
0.375040 | + | 0.927009i | \(0.377629\pi\) | |||||||
\(840\) | 4.40613 | + | 5.18730i | 0.152026 | + | 0.178979i | ||||
\(841\) | 15.7629 | − | 29.7320i | 0.543549 | − | 1.02524i | ||||
\(842\) | 20.7836 | − | 30.6535i | 0.716249 | − | 1.05639i | ||||
\(843\) | 12.7298 | − | 4.28918i | 0.438439 | − | 0.147727i | ||||
\(844\) | 3.51743 | + | 12.6686i | 0.121075 | + | 0.436073i | ||||
\(845\) | −4.99678 | + | 30.4790i | −0.171894 | + | 1.04851i | ||||
\(846\) | −2.88617 | − | 7.24373i | −0.0992285 | − | 0.249045i | ||||
\(847\) | 14.0877 | − | 16.5853i | 0.484058 | − | 0.569877i | ||||
\(848\) | 0.657783 | + | 12.1321i | 0.0225883 | + | 0.416618i | ||||
\(849\) | 6.21348 | − | 22.3789i | 0.213246 | − | 0.768043i | ||||
\(850\) | −8.01999 | − | 3.71044i | −0.275083 | − | 0.127267i | ||||
\(851\) | 0.740320 | + | 0.162957i | 0.0253778 | + | 0.00558608i | ||||
\(852\) | −6.10575 | + | 1.34398i | −0.209179 | + | 0.0460439i | ||||
\(853\) | −28.6177 | + | 13.2400i | −0.979851 | + | 0.453327i | −0.843381 | − | 0.537317i | \(-0.819438\pi\) |
−0.136471 | + | 0.990644i | \(0.543576\pi\) | |||||||
\(854\) | −0.745879 | − | 4.54966i | −0.0255235 | − | 0.155686i | ||||
\(855\) | 10.0554 | − | 6.05014i | 0.343888 | − | 0.206910i | ||||
\(856\) | −6.77727 | + | 4.07775i | −0.231642 | + | 0.139375i | ||||
\(857\) | −3.69149 | − | 22.5171i | −0.126099 | − | 0.769170i | −0.971852 | − | 0.235594i | \(-0.924296\pi\) |
0.845753 | − | 0.533575i | \(-0.179152\pi\) | |||||||
\(858\) | 1.59619 | − | 0.738475i | 0.0544929 | − | 0.0252111i | ||||
\(859\) | 43.6316 | − | 9.60403i | 1.48869 | − | 0.327685i | 0.605177 | − | 0.796091i | \(-0.293103\pi\) |
0.883513 | + | 0.468406i | \(0.155171\pi\) | |||||||
\(860\) | −9.41260 | − | 2.07187i | −0.320967 | − | 0.0706502i | ||||
\(861\) | −5.16444 | − | 2.38932i | −0.176004 | − | 0.0814280i | ||||
\(862\) | −5.78545 | + | 20.8373i | −0.197053 | + | 0.709722i | ||||
\(863\) | 0.550980 | + | 10.1622i | 0.0187556 | + | 0.345926i | 0.992817 | + | 0.119643i | \(0.0381749\pi\) |
−0.974061 | + | 0.226284i | \(0.927342\pi\) | |||||||
\(864\) | 0.647386 | − | 0.762162i | 0.0220245 | − | 0.0259293i | ||||
\(865\) | −17.6425 | − | 44.2793i | −0.599863 | − | 1.50554i | ||||
\(866\) | 2.74266 | − | 16.7295i | 0.0931995 | − | 0.568492i | ||||
\(867\) | −3.64544 | − | 13.1297i | −0.123806 | − | 0.445908i | ||||
\(868\) | −12.0970 | + | 4.07596i | −0.410600 | + | 0.138347i | ||||
\(869\) | −3.59955 | + | 5.30893i | −0.122106 | + | 0.180093i | ||||
\(870\) | 11.6132 | − | 21.9048i | 0.393723 | − | 0.742641i | ||||
\(871\) | −15.0092 | − | 17.6702i | −0.508566 | − | 0.598730i | ||||
\(872\) | 6.22711 | − | 5.89863i | 0.210877 | − | 0.199753i | ||||
\(873\) | −7.78527 | + | 0.846699i | −0.263492 | + | 0.0286564i | ||||
\(874\) | −4.51858 | − | 6.66440i | −0.152843 | − | 0.225427i | ||||
\(875\) | −1.02359 | − | 0.778112i | −0.0346036 | − | 0.0263050i | ||||
\(876\) | 11.9255 | + | 11.2964i | 0.402924 | + | 0.381670i | ||||
\(877\) | 2.18628 | − | 40.3236i | 0.0738255 | − | 1.36163i | −0.693538 | − | 0.720420i | \(-0.743949\pi\) |
0.767364 | − | 0.641212i | \(-0.221568\pi\) | |||||||
\(878\) | 31.9378 | + | 10.7611i | 1.07785 | + | 0.363169i | ||||
\(879\) | −14.8100 | + | 11.2583i | −0.499529 | + | 0.379732i | ||||
\(880\) | 3.09086 | + | 0.336151i | 0.104193 | + | 0.0113317i | ||||
\(881\) | 7.51952 | + | 14.1833i | 0.253339 | + | 0.477848i | 0.977263 | − | 0.212032i | \(-0.0680081\pi\) |
−0.723924 | + | 0.689880i | \(0.757663\pi\) | |||||||
\(882\) | 0.843397 | − | 2.11677i | 0.0283986 | − | 0.0712752i | ||||
\(883\) | −21.4008 | − | 12.8764i | −0.720194 | − | 0.433326i | 0.107720 | − | 0.994181i | \(-0.465645\pi\) |
−0.827914 | + | 0.560855i | \(0.810472\pi\) | |||||||
\(884\) | −3.25443 | −0.109458 | ||||||||
\(885\) | 12.8316 | − | 20.3520i | 0.431329 | − | 0.684126i | ||||
\(886\) | −11.0899 | −0.372572 | ||||||||
\(887\) | −49.5172 | − | 29.7935i | −1.66262 | − | 1.00037i | −0.956259 | − | 0.292521i | \(-0.905506\pi\) |
−0.706366 | − | 0.707847i | \(-0.749666\pi\) | |||||||
\(888\) | −0.130556 | + | 0.327670i | −0.00438117 | + | 0.0109959i | ||||
\(889\) | −5.90350 | − | 11.1352i | −0.197997 | − | 0.373462i | ||||
\(890\) | −11.0217 | − | 1.19868i | −0.369448 | − | 0.0401799i | ||||
\(891\) | 0.790202 | − | 0.600696i | 0.0264728 | − | 0.0201241i | ||||
\(892\) | −22.0765 | − | 7.43844i | −0.739176 | − | 0.249057i | ||||
\(893\) | 1.58161 | − | 29.1711i | 0.0529266 | − | 0.976174i | ||||
\(894\) | −5.69830 | − | 5.39771i | −0.190580 | − | 0.180527i | ||||
\(895\) | 48.8237 | + | 37.1148i | 1.63200 | + | 1.24061i | ||||
\(896\) | 1.21939 | + | 1.79847i | 0.0407370 | + | 0.0600826i | ||||
\(897\) | −3.78560 | + | 0.411709i | −0.126397 | + | 0.0137466i | ||||
\(898\) | 24.3202 | − | 23.0373i | 0.811575 | − | 0.768765i | ||||
\(899\) | 30.1041 | + | 35.4412i | 1.00403 | + | 1.18203i | ||||
\(900\) | 2.25355 | − | 4.25065i | 0.0751184 | − | 0.141688i | ||||
\(901\) | 12.5236 | − | 18.4709i | 0.417221 | − | 0.615355i | ||||
\(902\) | −2.46336 | + | 0.830004i | −0.0820211 | + | 0.0276361i | ||||
\(903\) | −1.78867 | − | 6.44221i | −0.0595233 | − | 0.214383i | ||||
\(904\) | −1.83254 | + | 11.1780i | −0.0609494 | + | 0.371775i | ||||
\(905\) | 9.99329 | + | 25.0813i | 0.332188 | + | 0.833730i | ||||
\(906\) | 4.13393 | − | 4.86684i | 0.137341 | − | 0.161690i | ||||
\(907\) | 1.32716 | + | 24.4781i | 0.0440678 | + | 0.812782i | 0.934128 | + | 0.356939i | \(0.116179\pi\) |
−0.890060 | + | 0.455843i | \(0.849338\pi\) | |||||||
\(908\) | −2.38212 | + | 8.57962i | −0.0790534 | + | 0.284725i | ||||
\(909\) | 9.02550 | + | 4.17564i | 0.299357 | + | 0.138497i | ||||
\(910\) | 11.7773 | + | 2.59238i | 0.390414 | + | 0.0859367i | ||||
\(911\) | −19.8574 | + | 4.37095i | −0.657906 | + | 0.144816i | −0.531362 | − | 0.847145i | \(-0.678319\pi\) |
−0.126544 | + | 0.991961i | \(0.540388\pi\) | |||||||
\(912\) | 3.40029 | − | 1.57314i | 0.112595 | − | 0.0520919i | ||||
\(913\) | 2.54061 | + | 15.4970i | 0.0840819 | + | 0.512877i | ||||
\(914\) | −14.1002 | + | 8.48378i | −0.466392 | + | 0.280618i | ||||
\(915\) | −5.69469 | + | 3.42638i | −0.188261 | + | 0.113273i | ||||
\(916\) | 3.17755 | + | 19.3822i | 0.104989 | + | 0.640406i | ||||
\(917\) | −0.828847 | + | 0.383465i | −0.0273709 | + | 0.0126631i | ||||
\(918\) | −1.79380 | + | 0.394845i | −0.0592042 | + | 0.0130318i | ||||
\(919\) | 25.1669 | + | 5.53966i | 0.830180 | + | 0.182736i | 0.609677 | − | 0.792650i | \(-0.291299\pi\) |
0.220503 | + | 0.975386i | \(0.429230\pi\) | |||||||
\(920\) | −6.10945 | − | 2.82653i | −0.201423 | − | 0.0931881i | ||||
\(921\) | −7.13772 | + | 25.7077i | −0.235196 | + | 0.847099i | ||||
\(922\) | −0.364414 | − | 6.72121i | −0.0120013 | − | 0.221351i | ||||
\(923\) | −7.17139 | + | 8.44281i | −0.236049 | + | 0.277899i | ||||
\(924\) | 0.798313 | + | 2.00362i | 0.0262626 | + | 0.0659141i | ||||
\(925\) | −0.274540 | + | 1.67462i | −0.00902682 | + | 0.0550611i | ||||
\(926\) | −8.09701 | − | 29.1628i | −0.266084 | − | 0.958349i | ||||
\(927\) | −8.61033 | + | 2.90116i | −0.282800 | + | 0.0952865i | ||||
\(928\) | 4.44197 | − | 6.55141i | 0.145815 | − | 0.215061i | ||||
\(929\) | −1.57868 | + | 2.97770i | −0.0517947 | + | 0.0976951i | −0.908058 | − | 0.418844i | \(-0.862435\pi\) |
0.856263 | + | 0.516540i | \(0.172780\pi\) | |||||||
\(930\) | 11.9129 | + | 14.0249i | 0.390638 | + | 0.459894i | ||||
\(931\) | 6.19776 | − | 5.87083i | 0.203123 | − | 0.192409i | ||||
\(932\) | 21.0028 | − | 2.28419i | 0.687970 | − | 0.0748212i | ||||
\(933\) | −5.84629 | − | 8.62263i | −0.191399 | − | 0.282292i | ||||
\(934\) | −14.9235 | − | 11.3446i | −0.488312 | − | 0.371205i | ||||
\(935\) | −4.14586 | − | 3.92717i | −0.135584 | − | 0.128432i | ||||
\(936\) | 0.0959260 | − | 1.76925i | 0.00313544 | − | 0.0578298i | ||||
\(937\) | 33.3020 | + | 11.2208i | 1.08793 | + | 0.366566i | 0.805424 | − | 0.592700i | \(-0.201938\pi\) |
0.282506 | + | 0.959266i | \(0.408834\pi\) | |||||||
\(938\) | 22.6342 | − | 17.2061i | 0.739034 | − | 0.561799i | ||||
\(939\) | 22.2434 | + | 2.41912i | 0.725887 | + | 0.0789449i | ||||
\(940\) | −11.4404 | − | 21.5789i | −0.373144 | − | 0.703825i | ||||
\(941\) | −5.94320 | + | 14.9163i | −0.193743 | + | 0.486257i | −0.993468 | − | 0.114108i | \(-0.963599\pi\) |
0.799726 | + | 0.600366i | \(0.204978\pi\) | |||||||
\(942\) | −5.88541 | − | 3.54114i | −0.191757 | − | 0.115376i | ||||
\(943\) | 5.62816 | 0.183278 | ||||||||
\(944\) | 4.77507 | − | 6.01653i | 0.155415 | − | 0.195821i | ||||
\(945\) | 6.80603 | 0.221400 | ||||||||
\(946\) | −2.61703 | − | 1.57461i | −0.0850869 | − | 0.0511951i | ||||
\(947\) | 4.48544 | − | 11.2576i | 0.145757 | − | 0.365823i | −0.837913 | − | 0.545804i | \(-0.816224\pi\) |
0.983670 | + | 0.179981i | \(0.0576036\pi\) | |||||||
\(948\) | 3.02685 | + | 5.70924i | 0.0983074 | + | 0.185428i | ||||
\(949\) | 28.9344 | + | 3.14681i | 0.939251 | + | 0.102150i | ||||
\(950\) | 14.3496 | − | 10.9083i | 0.465562 | − | 0.353911i | ||||
\(951\) | 24.9030 | + | 8.39078i | 0.807534 | + | 0.272090i | ||||
\(952\) | 0.216069 | − | 3.98516i | 0.00700285 | − | 0.129160i | ||||
\(953\) | 20.8967 | + | 19.7944i | 0.676909 | + | 0.641202i | 0.946850 | − | 0.321674i | \(-0.104246\pi\) |
−0.269941 | + | 0.962877i | \(0.587004\pi\) | |||||||
\(954\) | 9.67245 | + | 7.35281i | 0.313157 | + | 0.238056i | ||||
\(955\) | 10.3417 | + | 15.2529i | 0.334650 | + | 0.493572i | ||||
\(956\) | 17.5409 | − | 1.90769i | 0.567313 | − | 0.0616990i | ||||
\(957\) | 5.70395 | − | 5.40307i | 0.184383 | − | 0.174656i | ||||
\(958\) | 3.30860 | + | 3.89518i | 0.106896 | + | 0.125848i | ||||
\(959\) | −10.2662 | + | 19.3641i | −0.331512 | + | 0.625298i | ||||
\(960\) | 1.75779 | − | 2.59254i | 0.0567323 | − | 0.0836739i | ||||
\(961\) | −3.32946 | + | 1.12183i | −0.107402 | + | 0.0361880i | ||||
\(962\) | 0.167197 | + | 0.602190i | 0.00539065 | + | 0.0194154i | ||||
\(963\) | −1.27961 | + | 7.80526i | −0.0412348 | + | 0.251521i | ||||
\(964\) | −4.52813 | − | 11.3647i | −0.145841 | − | 0.366034i | ||||
\(965\) | −20.4570 | + | 24.0838i | −0.658534 | + | 0.775286i | ||||
\(966\) | −0.252817 | − | 4.66293i | −0.00813425 | − | 0.150027i | ||||
\(967\) | 9.64099 | − | 34.7237i | 0.310033 | − | 1.11664i | −0.630291 | − | 0.776359i | \(-0.717064\pi\) |
0.940324 | − | 0.340280i | \(-0.110522\pi\) | |||||||
\(968\) | −9.08914 | − | 4.20508i | −0.292136 | − | 0.135156i | ||||
\(969\) | −6.72058 | − | 1.47931i | −0.215896 | − | 0.0475224i | ||||
\(970\) | −23.9558 | + | 5.27308i | −0.769176 | + | 0.169308i | ||||
\(971\) | −27.5537 | + | 12.7477i | −0.884242 | + | 0.409094i | −0.808819 | − | 0.588058i | \(-0.799893\pi\) |
−0.0754227 | + | 0.997152i | \(0.524031\pi\) | |||||||
\(972\) | −0.161782 | − | 0.986827i | −0.00518916 | − | 0.0316525i | ||||
\(973\) | 28.0886 | − | 16.9004i | 0.900480 | − | 0.541801i | ||||
\(974\) | −2.76291 | + | 1.66239i | −0.0885294 | + | 0.0532664i | ||||
\(975\) | −1.37911 | − | 8.41222i | −0.0441670 | − | 0.269407i | ||||
\(976\) | −1.92569 | + | 0.890918i | −0.0616397 | + | 0.0285176i | ||||
\(977\) | −7.24973 | + | 1.59579i | −0.231939 | + | 0.0510537i | −0.329419 | − | 0.944184i | \(-0.606853\pi\) |
0.0974797 | + | 0.995238i | \(0.468922\pi\) | |||||||
\(978\) | −14.3477 | − | 3.15817i | −0.458789 | − | 0.100987i | ||||
\(979\) | −3.18860 | − | 1.47521i | −0.101908 | − | 0.0471478i | ||||
\(980\) | 1.90940 | − | 6.87703i | 0.0609935 | − | 0.219679i | ||||
\(981\) | −0.464368 | − | 8.56476i | −0.0148261 | − | 0.273452i | ||||
\(982\) | −5.32497 | + | 6.26904i | −0.169927 | + | 0.200053i | ||||
\(983\) | 21.0693 | + | 52.8799i | 0.672006 | + | 1.68661i | 0.725665 | + | 0.688048i | \(0.241532\pi\) |
−0.0536590 | + | 0.998559i | \(0.517088\pi\) | |||||||
\(984\) | −0.423677 | + | 2.58432i | −0.0135063 | + | 0.0823851i | ||||
\(985\) | 11.3644 | + | 40.9308i | 0.362099 | + | 1.30416i | ||||
\(986\) | −13.7773 | + | 4.64213i | −0.438760 | + | 0.147835i | ||||
\(987\) | 9.50825 | − | 14.0236i | 0.302651 | − | 0.446377i | ||||
\(988\) | 3.10946 | − | 5.86506i | 0.0989250 | − | 0.186592i | ||||
\(989\) | 4.28105 | + | 5.04004i | 0.136129 | + | 0.160264i | ||||
\(990\) | 2.25718 | − | 2.13812i | 0.0717380 | − | 0.0679538i | ||||
\(991\) | 22.6602 | − | 2.46444i | 0.719824 | − | 0.0782856i | 0.259127 | − | 0.965843i | \(-0.416565\pi\) |
0.460697 | + | 0.887558i | \(0.347600\pi\) | |||||||
\(992\) | 3.29687 | + | 4.86251i | 0.104676 | + | 0.154385i | ||||
\(993\) | 0.158614 | + | 0.120575i | 0.00503346 | + | 0.00382634i | ||||
\(994\) | −9.86239 | − | 9.34216i | −0.312816 | − | 0.296315i | ||||
\(995\) | 0.718051 | − | 13.2437i | 0.0227637 | − | 0.419852i | ||||
\(996\) | 14.9928 | + | 5.05166i | 0.475065 | + | 0.160068i | ||||
\(997\) | 4.35881 | − | 3.31348i | 0.138045 | − | 0.104939i | −0.533873 | − | 0.845565i | \(-0.679264\pi\) |
0.671918 | + | 0.740626i | \(0.265471\pi\) | |||||||
\(998\) | 12.4915 | + | 1.35853i | 0.395412 | + | 0.0430036i | ||||
\(999\) | 0.165218 | + | 0.311634i | 0.00522726 | + | 0.00985966i |
(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 | 354.2.e.a.139.2 | ✓ | 56 | |
59.45 | even | 29 | inner | 354.2.e.a.163.2 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.a.139.2 | ✓ | 56 | 1.1 | even | 1 | trivial | |
354.2.e.a.163.2 | yes | 56 | 59.45 | even | 29 | inner |