Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(4,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.y (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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 4.5 | ||
Character | \(\chi\) | \(=\) | 231.4 |
Dual form | 231.2.y.a.58.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0140677 | − | 0.133845i | 0.00994738 | − | 0.0946430i | −0.988422 | − | 0.151732i | \(-0.951515\pi\) |
0.998369 | + | 0.0570886i | \(0.0181817\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | 1.93858 | + | 0.412058i | 0.969289 | + | 0.206029i | ||||
\(5\) | 3.31825 | + | 1.47738i | 1.48397 | + | 0.660705i | 0.979264 | − | 0.202587i | \(-0.0649349\pi\) |
0.504704 | + | 0.863292i | \(0.331602\pi\) | |||||||
\(6\) | −0.108880 | + | 0.0791057i | −0.0444500 | + | 0.0322948i | ||||
\(7\) | −1.93235 | + | 1.80722i | −0.730358 | + | 0.683065i | ||||
\(8\) | 0.165600 | − | 0.509665i | 0.0585485 | − | 0.180194i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 0.244421 | − | 0.423350i | 0.0772928 | − | 0.133875i | ||||
\(11\) | −3.26353 | + | 0.591061i | −0.983992 | + | 0.178212i | ||||
\(12\) | −0.990944 | − | 1.71636i | −0.286061 | − | 0.495472i | ||||
\(13\) | 1.43254 | + | 1.04080i | 0.397314 | + | 0.288666i | 0.768446 | − | 0.639914i | \(-0.221030\pi\) |
−0.371132 | + | 0.928580i | \(0.621030\pi\) | |||||||
\(14\) | 0.214704 | + | 0.284059i | 0.0573821 | + | 0.0759180i | ||||
\(15\) | −1.12244 | − | 3.45451i | −0.289812 | − | 0.891949i | ||||
\(16\) | 3.55520 | + | 1.58288i | 0.888800 | + | 0.395719i | ||||
\(17\) | −0.470621 | − | 4.47766i | −0.114142 | − | 1.08599i | −0.890275 | − | 0.455423i | \(-0.849488\pi\) |
0.776133 | − | 0.630570i | \(-0.217179\pi\) | |||||||
\(18\) | 0.131642 | + | 0.0279813i | 0.0310283 | + | 0.00659526i | ||||
\(19\) | 1.63215 | − | 0.346925i | 0.374442 | − | 0.0795901i | −0.0168468 | − | 0.999858i | \(-0.505363\pi\) |
0.391289 | + | 0.920268i | \(0.372029\pi\) | |||||||
\(20\) | 5.82393 | + | 4.23133i | 1.30227 | + | 0.946155i | ||||
\(21\) | 2.63602 | + | 0.226747i | 0.575226 | + | 0.0494803i | ||||
\(22\) | 0.0332004 | + | 0.445124i | 0.00707835 | + | 0.0949007i | ||||
\(23\) | −3.47623 | − | 6.02100i | −0.724844 | − | 1.25547i | −0.959038 | − | 0.283276i | \(-0.908579\pi\) |
0.234195 | − | 0.972190i | \(-0.424755\pi\) | |||||||
\(24\) | −0.489563 | + | 0.217967i | −0.0999316 | + | 0.0444924i | ||||
\(25\) | 5.48250 | + | 6.08894i | 1.09650 | + | 1.21779i | ||||
\(26\) | 0.159459 | − | 0.177097i | 0.0312724 | − | 0.0347315i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | −4.49068 | + | 2.70720i | −0.848659 | + | 0.511612i | ||||
\(29\) | −1.96811 | − | 6.05722i | −0.365469 | − | 1.12480i | −0.949687 | − | 0.313200i | \(-0.898599\pi\) |
0.584219 | − | 0.811596i | \(-0.301401\pi\) | |||||||
\(30\) | −0.478160 | + | 0.101636i | −0.0872997 | + | 0.0185561i | ||||
\(31\) | 4.93764 | − | 2.19838i | 0.886827 | − | 0.394841i | 0.0878013 | − | 0.996138i | \(-0.472016\pi\) |
0.799025 | + | 0.601297i | \(0.205349\pi\) | |||||||
\(32\) | 0.797768 | − | 1.38177i | 0.141027 | − | 0.244266i | ||||
\(33\) | 2.62297 | + | 2.02978i | 0.456601 | + | 0.353339i | ||||
\(34\) | −0.605936 | −0.103917 | ||||||||
\(35\) | −9.08197 | + | 3.14200i | −1.53513 | + | 0.531095i | ||||
\(36\) | −0.612437 | + | 1.88489i | −0.102073 | + | 0.314148i | ||||
\(37\) | −2.55601 | + | 2.83874i | −0.420206 | + | 0.466686i | −0.915663 | − | 0.401946i | \(-0.868334\pi\) |
0.495457 | + | 0.868632i | \(0.335001\pi\) | |||||||
\(38\) | −0.0234737 | − | 0.223337i | −0.00380793 | − | 0.0362300i | ||||
\(39\) | −0.185090 | − | 1.76101i | −0.0296381 | − | 0.281988i | ||||
\(40\) | 1.30247 | − | 1.44654i | 0.205939 | − | 0.228718i | ||||
\(41\) | −0.887838 | + | 2.73248i | −0.138657 | + | 0.426742i | −0.996141 | − | 0.0877685i | \(-0.972026\pi\) |
0.857484 | + | 0.514511i | \(0.172026\pi\) | |||||||
\(42\) | 0.0674318 | − | 0.349629i | 0.0104050 | − | 0.0539489i | ||||
\(43\) | −12.7655 | −1.94673 | −0.973364 | − | 0.229265i | \(-0.926368\pi\) | ||||
−0.973364 | + | 0.229265i | \(0.926368\pi\) | |||||||
\(44\) | −6.57017 | − | 0.198945i | −0.990490 | − | 0.0299920i | ||||
\(45\) | −1.81614 | + | 3.14565i | −0.270734 | + | 0.468926i | ||||
\(46\) | −0.854787 | + | 0.380575i | −0.126031 | + | 0.0561128i | ||||
\(47\) | −2.06821 | + | 0.439613i | −0.301680 | + | 0.0641241i | −0.356265 | − | 0.934385i | \(-0.615950\pi\) |
0.0545846 | + | 0.998509i | \(0.482617\pi\) | |||||||
\(48\) | −1.20259 | − | 3.70118i | −0.173578 | − | 0.534220i | ||||
\(49\) | 0.467920 | − | 6.98434i | 0.0668456 | − | 0.997763i | ||||
\(50\) | 0.892103 | − | 0.648151i | 0.126162 | − | 0.0916623i | ||||
\(51\) | −3.01265 | + | 3.34588i | −0.421855 | + | 0.468517i | ||||
\(52\) | 2.34822 | + | 2.60796i | 0.325639 | + | 0.361659i | ||||
\(53\) | −3.91749 | + | 1.74418i | −0.538109 | + | 0.239582i | −0.657751 | − | 0.753235i | \(-0.728492\pi\) |
0.119642 | + | 0.992817i | \(0.461825\pi\) | |||||||
\(54\) | −0.0672914 | − | 0.116552i | −0.00915719 | − | 0.0158607i | ||||
\(55\) | −11.7025 | − | 2.86019i | −1.57796 | − | 0.385668i | ||||
\(56\) | 0.601079 | + | 1.28412i | 0.0803226 | + | 0.171598i | ||||
\(57\) | −1.34994 | − | 0.980789i | −0.178804 | − | 0.129909i | ||||
\(58\) | −0.838418 | + | 0.178211i | −0.110090 | + | 0.0234003i | ||||
\(59\) | 9.77333 | + | 2.07738i | 1.27238 | + | 0.270452i | 0.794117 | − | 0.607765i | \(-0.207934\pi\) |
0.478262 | + | 0.878217i | \(0.341267\pi\) | |||||||
\(60\) | −0.752477 | − | 7.15934i | −0.0971443 | − | 0.924267i | ||||
\(61\) | −4.05171 | − | 1.80394i | −0.518768 | − | 0.230970i | 0.130613 | − | 0.991433i | \(-0.458305\pi\) |
−0.649381 | + | 0.760463i | \(0.724972\pi\) | |||||||
\(62\) | −0.224782 | − | 0.691807i | −0.0285473 | − | 0.0878596i | ||||
\(63\) | −1.59533 | − | 2.11067i | −0.200993 | − | 0.265919i | ||||
\(64\) | 6.12311 | + | 4.44870i | 0.765388 | + | 0.556087i | ||||
\(65\) | 3.21586 | + | 5.57004i | 0.398879 | + | 0.690878i | ||||
\(66\) | 0.308576 | − | 0.322519i | 0.0379831 | − | 0.0396993i | ||||
\(67\) | 3.68510 | − | 6.38277i | 0.450206 | − | 0.779780i | −0.548192 | − | 0.836352i | \(-0.684684\pi\) |
0.998399 | + | 0.0565723i | \(0.0180171\pi\) | |||||||
\(68\) | 0.932719 | − | 8.87423i | 0.113109 | − | 1.07616i | ||||
\(69\) | −2.14843 | + | 6.61218i | −0.258640 | + | 0.796013i | ||||
\(70\) | 0.292780 | + | 1.25978i | 0.0349939 | + | 0.150573i | ||||
\(71\) | −6.91873 | + | 5.02675i | −0.821102 | + | 0.596566i | −0.917028 | − | 0.398823i | \(-0.869419\pi\) |
0.0959258 | + | 0.995388i | \(0.469419\pi\) | |||||||
\(72\) | 0.489563 | + | 0.217967i | 0.0576955 | + | 0.0256877i | ||||
\(73\) | 11.5843 | + | 2.46231i | 1.35583 | + | 0.288191i | 0.827796 | − | 0.561029i | \(-0.189595\pi\) |
0.528038 | + | 0.849221i | \(0.322928\pi\) | |||||||
\(74\) | 0.343995 | + | 0.382046i | 0.0399887 | + | 0.0444119i | ||||
\(75\) | 0.856451 | − | 8.14859i | 0.0988944 | − | 0.940918i | ||||
\(76\) | 3.30701 | 0.379340 | ||||||||
\(77\) | 5.23810 | − | 7.04005i | 0.596936 | − | 0.802289i | ||||
\(78\) | −0.238307 | −0.0269830 | ||||||||
\(79\) | −1.28550 | + | 12.2307i | −0.144630 | + | 1.37606i | 0.645800 | + | 0.763507i | \(0.276524\pi\) |
−0.790429 | + | 0.612553i | \(0.790143\pi\) | |||||||
\(80\) | 9.45855 | + | 10.5048i | 1.05750 | + | 1.17447i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 0.353241 | + | 0.157273i | 0.0390089 | + | 0.0173679i | ||||
\(83\) | 7.26750 | − | 5.28015i | 0.797712 | − | 0.579572i | −0.112530 | − | 0.993648i | \(-0.535896\pi\) |
0.910242 | + | 0.414077i | \(0.135896\pi\) | |||||||
\(84\) | 5.01669 | + | 1.52576i | 0.547366 | + | 0.166474i | ||||
\(85\) | 5.05358 | − | 15.5533i | 0.548138 | − | 1.68699i | ||||
\(86\) | −0.179582 | + | 1.70861i | −0.0193648 | + | 0.184244i | ||||
\(87\) | −3.18447 | + | 5.51566i | −0.341411 | + | 0.591341i | ||||
\(88\) | −0.239198 | + | 1.76119i | −0.0254986 | + | 0.187743i | ||||
\(89\) | −0.907843 | − | 1.57243i | −0.0962312 | − | 0.166677i | 0.813891 | − | 0.581018i | \(-0.197345\pi\) |
−0.910122 | + | 0.414341i | \(0.864012\pi\) | |||||||
\(90\) | 0.395482 | + | 0.287334i | 0.0416874 | + | 0.0302877i | ||||
\(91\) | −4.64911 | + | 0.577724i | −0.487359 | + | 0.0605620i | ||||
\(92\) | −4.25794 | − | 13.1046i | −0.443921 | − | 1.36625i | ||||
\(93\) | −4.93764 | − | 2.19838i | −0.512010 | − | 0.227961i | ||||
\(94\) | 0.0297451 | + | 0.283005i | 0.00306797 | + | 0.0291898i | ||||
\(95\) | 5.92844 | + | 1.26013i | 0.608246 | + | 0.129287i | ||||
\(96\) | −1.56067 | + | 0.331731i | −0.159285 | + | 0.0338571i | ||||
\(97\) | −6.22158 | − | 4.52024i | −0.631706 | − | 0.458961i | 0.225285 | − | 0.974293i | \(-0.427669\pi\) |
−0.856991 | + | 0.515332i | \(0.827669\pi\) | |||||||
\(98\) | −0.928240 | − | 0.160883i | −0.0937664 | − | 0.0162516i | ||||
\(99\) | −0.246691 | − | 3.30744i | −0.0247934 | − | 0.332410i | ||||
\(100\) | 8.11927 | + | 14.0630i | 0.811927 | + | 1.40630i | ||||
\(101\) | −5.90085 | + | 2.62723i | −0.587156 | + | 0.261419i | −0.678740 | − | 0.734378i | \(-0.737474\pi\) |
0.0915837 | + | 0.995797i | \(0.470807\pi\) | |||||||
\(102\) | 0.405450 | + | 0.450298i | 0.0401455 | + | 0.0445861i | ||||
\(103\) | −11.5129 | + | 12.7864i | −1.13440 | + | 1.25988i | −0.172938 | + | 0.984933i | \(0.555326\pi\) |
−0.961460 | + | 0.274945i | \(0.911341\pi\) | |||||||
\(104\) | 0.767687 | − | 0.557757i | 0.0752779 | − | 0.0546926i | ||||
\(105\) | 8.41198 | + | 4.64681i | 0.820925 | + | 0.453482i | ||||
\(106\) | 0.178340 | + | 0.548876i | 0.0173220 | + | 0.0533115i | ||||
\(107\) | −5.20937 | + | 1.10729i | −0.503609 | + | 0.107045i | −0.452709 | − | 0.891658i | \(-0.649542\pi\) |
−0.0509000 | + | 0.998704i | \(0.516209\pi\) | |||||||
\(108\) | 1.81054 | − | 0.806106i | 0.174220 | − | 0.0775676i | ||||
\(109\) | −2.73834 | + | 4.74295i | −0.262286 | + | 0.454292i | −0.966849 | − | 0.255349i | \(-0.917810\pi\) |
0.704563 | + | 0.709641i | \(0.251143\pi\) | |||||||
\(110\) | −0.547451 | + | 1.52608i | −0.0521974 | + | 0.145506i | ||||
\(111\) | 3.81990 | 0.362569 | ||||||||
\(112\) | −9.73049 | + | 3.36636i | −0.919444 | + | 0.318091i | ||||
\(113\) | −2.78632 | + | 8.57541i | −0.262115 | + | 0.806707i | 0.730229 | + | 0.683202i | \(0.239413\pi\) |
−0.992344 | + | 0.123505i | \(0.960587\pi\) | |||||||
\(114\) | −0.150265 | + | 0.166886i | −0.0140736 | + | 0.0156303i | ||||
\(115\) | −2.63969 | − | 25.1149i | −0.246152 | − | 2.34198i | ||||
\(116\) | −1.31941 | − | 12.5534i | −0.122504 | − | 1.16555i | ||||
\(117\) | −1.18484 | + | 1.31590i | −0.109538 | + | 0.121655i | ||||
\(118\) | 0.415537 | − | 1.27889i | 0.0382533 | − | 0.117731i | ||||
\(119\) | 9.00152 | + | 7.80188i | 0.825168 | + | 0.715197i | ||||
\(120\) | −1.94652 | −0.177692 | ||||||||
\(121\) | 10.3013 | − | 3.85790i | 0.936481 | − | 0.350718i | ||||
\(122\) | −0.298447 | + | 0.516925i | −0.0270201 | + | 0.0468002i | ||||
\(123\) | 2.62471 | − | 1.16860i | 0.236662 | − | 0.105369i | ||||
\(124\) | 10.4779 | − | 2.22714i | 0.940940 | − | 0.200003i | ||||
\(125\) | 3.58447 | + | 11.0319i | 0.320605 | + | 0.986720i | ||||
\(126\) | −0.304946 | + | 0.183836i | −0.0271667 | + | 0.0163774i | ||||
\(127\) | 16.4807 | − | 11.9739i | 1.46242 | − | 1.06251i | 0.479700 | − | 0.877432i | \(-0.340745\pi\) |
0.982723 | − | 0.185081i | \(-0.0592546\pi\) | |||||||
\(128\) | 2.81682 | − | 3.12839i | 0.248974 | − | 0.276514i | ||||
\(129\) | 8.54182 | + | 9.48665i | 0.752065 | + | 0.835253i | ||||
\(130\) | 0.790764 | − | 0.352071i | 0.0693546 | − | 0.0308787i | ||||
\(131\) | 4.14559 | + | 7.18037i | 0.362202 | + | 0.627352i | 0.988323 | − | 0.152374i | \(-0.0486918\pi\) |
−0.626121 | + | 0.779726i | \(0.715358\pi\) | |||||||
\(132\) | 4.24845 | + | 5.01570i | 0.369780 | + | 0.436561i | ||||
\(133\) | −2.52692 | + | 3.62004i | −0.219111 | + | 0.313897i | ||||
\(134\) | −0.802464 | − | 0.583025i | −0.0693224 | − | 0.0503656i | ||||
\(135\) | 3.55291 | − | 0.755194i | 0.305786 | − | 0.0649967i | ||||
\(136\) | −2.36004 | − | 0.501643i | −0.202372 | − | 0.0430155i | ||||
\(137\) | −0.161433 | − | 1.53594i | −0.0137922 | − | 0.131224i | 0.985459 | − | 0.169913i | \(-0.0543486\pi\) |
−0.999251 | + | 0.0386888i | \(0.987682\pi\) | |||||||
\(138\) | 0.854787 | + | 0.380575i | 0.0727643 | + | 0.0323967i | ||||
\(139\) | 3.46582 | + | 10.6667i | 0.293967 | + | 0.904737i | 0.983567 | + | 0.180546i | \(0.0577865\pi\) |
−0.689600 | + | 0.724191i | \(0.742214\pi\) | |||||||
\(140\) | −18.9008 | + | 2.34872i | −1.59741 | + | 0.198503i | ||||
\(141\) | 1.71060 | + | 1.24282i | 0.144059 | + | 0.104665i | ||||
\(142\) | 0.575477 | + | 0.996755i | 0.0482930 | + | 0.0836459i | ||||
\(143\) | −5.29031 | − | 2.54996i | −0.442398 | − | 0.213239i | ||||
\(144\) | −1.94583 | + | 3.37027i | −0.162152 | + | 0.280856i | ||||
\(145\) | 2.41814 | − | 23.0070i | 0.200815 | − | 1.91063i | ||||
\(146\) | 0.492533 | − | 1.51586i | 0.0407623 | − | 0.125453i | ||||
\(147\) | −5.50348 | + | 4.32571i | −0.453919 | + | 0.356778i | ||||
\(148\) | −6.12476 | + | 4.44990i | −0.503452 | + | 0.365779i | ||||
\(149\) | 4.67914 | + | 2.08329i | 0.383330 | + | 0.170669i | 0.589349 | − | 0.807878i | \(-0.299384\pi\) |
−0.206019 | + | 0.978548i | \(0.566051\pi\) | |||||||
\(150\) | −1.07860 | − | 0.229264i | −0.0880676 | − | 0.0187193i | ||||
\(151\) | −1.90516 | − | 2.11589i | −0.155039 | − | 0.172189i | 0.660621 | − | 0.750719i | \(-0.270293\pi\) |
−0.815661 | + | 0.578531i | \(0.803626\pi\) | |||||||
\(152\) | 0.0934694 | − | 0.889302i | 0.00758137 | − | 0.0721319i | ||||
\(153\) | 4.50233 | 0.363992 | ||||||||
\(154\) | −0.868591 | − | 0.800133i | −0.0699931 | − | 0.0644765i | ||||
\(155\) | 19.6322 | 1.57690 | ||||||||
\(156\) | 0.366827 | − | 3.49013i | 0.0293697 | − | 0.279434i | ||||
\(157\) | −4.09768 | − | 4.55094i | −0.327031 | − | 0.363204i | 0.557099 | − | 0.830446i | \(-0.311914\pi\) |
−0.884130 | + | 0.467242i | \(0.845248\pi\) | |||||||
\(158\) | 1.61894 | + | 0.344116i | 0.128796 | + | 0.0273764i | ||||
\(159\) | 3.91749 | + | 1.74418i | 0.310678 | + | 0.138323i | ||||
\(160\) | 4.68861 | − | 3.40647i | 0.370667 | − | 0.269305i | ||||
\(161\) | 17.5985 | + | 5.35235i | 1.38696 | + | 0.421825i | ||||
\(162\) | −0.0415883 | + | 0.127996i | −0.00326749 | + | 0.0100563i | ||||
\(163\) | 1.65819 | − | 15.7767i | 0.129880 | − | 1.23572i | −0.714368 | − | 0.699770i | \(-0.753286\pi\) |
0.844248 | − | 0.535953i | \(-0.180048\pi\) | |||||||
\(164\) | −2.84708 | + | 4.93129i | −0.222320 | + | 0.385069i | ||||
\(165\) | 5.70493 | + | 10.6105i | 0.444128 | + | 0.826023i | ||||
\(166\) | −0.604487 | − | 1.04700i | −0.0469173 | − | 0.0812631i | ||||
\(167\) | −7.95253 | − | 5.77785i | −0.615385 | − | 0.447103i | 0.235921 | − | 0.971772i | \(-0.424189\pi\) |
−0.851306 | + | 0.524669i | \(0.824189\pi\) | |||||||
\(168\) | 0.552090 | − | 1.30594i | 0.0425947 | − | 0.100755i | ||||
\(169\) | −3.04832 | − | 9.38177i | −0.234486 | − | 0.721675i | ||||
\(170\) | −2.01065 | − | 0.895198i | −0.154210 | − | 0.0686586i | ||||
\(171\) | 0.174418 | + | 1.65948i | 0.0133381 | + | 0.126903i | ||||
\(172\) | −24.7470 | − | 5.26014i | −1.88694 | − | 0.401082i | ||||
\(173\) | 9.93560 | − | 2.11188i | 0.755390 | − | 0.160563i | 0.185908 | − | 0.982567i | \(-0.440477\pi\) |
0.569482 | + | 0.822004i | \(0.307144\pi\) | |||||||
\(174\) | 0.693448 | + | 0.503819i | 0.0525701 | + | 0.0381944i | ||||
\(175\) | −21.5981 | − | 1.85785i | −1.63267 | − | 0.140440i | ||||
\(176\) | −12.5381 | − | 3.06443i | −0.945095 | − | 0.230990i | ||||
\(177\) | −4.99583 | − | 8.65304i | −0.375510 | − | 0.650402i | ||||
\(178\) | −0.223234 | + | 0.0993902i | −0.0167321 | + | 0.00744961i | ||||
\(179\) | 15.9665 | + | 17.7326i | 1.19339 | + | 1.32539i | 0.932994 | + | 0.359891i | \(0.117186\pi\) |
0.260395 | + | 0.965502i | \(0.416147\pi\) | |||||||
\(180\) | −4.81692 | + | 5.34973i | −0.359032 | + | 0.398745i | ||||
\(181\) | −4.22971 | + | 3.07306i | −0.314392 | + | 0.228419i | −0.733779 | − | 0.679389i | \(-0.762245\pi\) |
0.419387 | + | 0.907808i | \(0.362245\pi\) | |||||||
\(182\) | 0.0119234 | + | 0.630389i | 0.000883822 | + | 0.0467276i | ||||
\(183\) | 1.37054 | + | 4.21808i | 0.101313 | + | 0.311809i | ||||
\(184\) | −3.64436 | + | 0.774632i | −0.268666 | + | 0.0571066i | ||||
\(185\) | −12.6754 | + | 5.64346i | −0.931915 | + | 0.414915i | ||||
\(186\) | −0.363704 | + | 0.629955i | −0.0266681 | + | 0.0461905i | ||||
\(187\) | 4.18246 | + | 14.3348i | 0.305852 | + | 1.04827i | ||||
\(188\) | −4.19054 | −0.305627 | ||||||||
\(189\) | −0.501044 | + | 2.59788i | −0.0364456 | + | 0.188968i | ||||
\(190\) | 0.252062 | − | 0.775768i | 0.0182865 | − | 0.0562801i | ||||
\(191\) | 8.56835 | − | 9.51611i | 0.619984 | − | 0.688562i | −0.348594 | − | 0.937274i | \(-0.613341\pi\) |
0.968577 | + | 0.248712i | \(0.0800073\pi\) | |||||||
\(192\) | −0.791131 | − | 7.52711i | −0.0570950 | − | 0.543223i | ||||
\(193\) | 0.800441 | + | 7.61569i | 0.0576170 | + | 0.548189i | 0.984814 | + | 0.173614i | \(0.0555447\pi\) |
−0.927197 | + | 0.374575i | \(0.877789\pi\) | |||||||
\(194\) | −0.692538 | + | 0.769141i | −0.0497213 | + | 0.0552211i | ||||
\(195\) | 1.98751 | − | 6.11694i | 0.142329 | − | 0.438043i | ||||
\(196\) | 3.78505 | − | 13.3469i | 0.270361 | − | 0.953349i | ||||
\(197\) | −5.11991 | −0.364778 | −0.182389 | − | 0.983226i | \(-0.558383\pi\) | ||||
−0.182389 | + | 0.983226i | \(0.558383\pi\) | |||||||
\(198\) | −0.446156 | − | 0.0135096i | −0.0317069 | − | 0.000960086i | ||||
\(199\) | 6.85465 | − | 11.8726i | 0.485913 | − | 0.841626i | −0.513956 | − | 0.857817i | \(-0.671820\pi\) |
0.999869 | + | 0.0161905i | \(0.00515383\pi\) | |||||||
\(200\) | 4.01122 | − | 1.78591i | 0.283636 | − | 0.126283i | ||||
\(201\) | −7.20914 | + | 1.53235i | −0.508493 | + | 0.108084i | ||||
\(202\) | 0.268631 | + | 0.826761i | 0.0189008 | + | 0.0581707i | ||||
\(203\) | 14.7498 | + | 8.14783i | 1.03523 | + | 0.571866i | ||||
\(204\) | −7.21895 | + | 5.24487i | −0.505427 | + | 0.367214i | ||||
\(205\) | −6.98299 | + | 7.75540i | −0.487713 | + | 0.541661i | ||||
\(206\) | 1.54944 | + | 1.72082i | 0.107954 | + | 0.119895i | ||||
\(207\) | 6.35138 | − | 2.82782i | 0.441452 | − | 0.196547i | ||||
\(208\) | 3.44550 | + | 5.96778i | 0.238902 | + | 0.413791i | ||||
\(209\) | −5.12154 | + | 2.09690i | −0.354264 | + | 0.145046i | ||||
\(210\) | 0.740292 | − | 1.06054i | 0.0510850 | − | 0.0731839i | ||||
\(211\) | 2.03761 | + | 1.48041i | 0.140275 | + | 0.101916i | 0.655710 | − | 0.755013i | \(-0.272370\pi\) |
−0.515435 | + | 0.856929i | \(0.672370\pi\) | |||||||
\(212\) | −8.31307 | + | 1.76700i | −0.570944 | + | 0.121358i | ||||
\(213\) | 8.36514 | + | 1.77806i | 0.573170 | + | 0.121831i | ||||
\(214\) | 0.0749212 | + | 0.712828i | 0.00512151 | + | 0.0487279i | ||||
\(215\) | −42.3593 | − | 18.8596i | −2.88888 | − | 1.28621i | ||||
\(216\) | −0.165600 | − | 0.509665i | −0.0112677 | − | 0.0346783i | ||||
\(217\) | −5.56828 | + | 13.1714i | −0.377999 | + | 0.894135i | ||||
\(218\) | 0.596300 | + | 0.433237i | 0.0403865 | + | 0.0293425i | ||||
\(219\) | −5.92152 | − | 10.2564i | −0.400140 | − | 0.693062i | ||||
\(220\) | −21.5076 | − | 10.3668i | −1.45004 | − | 0.698929i | ||||
\(221\) | 3.98617 | − | 6.90424i | 0.268138 | − | 0.464429i | ||||
\(222\) | 0.0537374 | − | 0.511277i | 0.00360662 | − | 0.0343147i | ||||
\(223\) | −4.13016 | + | 12.7113i | −0.276576 | + | 0.851214i | 0.712222 | + | 0.701955i | \(0.247689\pi\) |
−0.988798 | + | 0.149260i | \(0.952311\pi\) | |||||||
\(224\) | 0.955606 | + | 4.11181i | 0.0638491 | + | 0.274732i | ||||
\(225\) | −6.62866 | + | 4.81600i | −0.441910 | + | 0.321067i | ||||
\(226\) | 1.10858 | + | 0.493573i | 0.0737418 | + | 0.0328320i | ||||
\(227\) | −3.09346 | − | 0.657536i | −0.205320 | − | 0.0436422i | 0.104103 | − | 0.994567i | \(-0.466803\pi\) |
−0.309424 | + | 0.950924i | \(0.600136\pi\) | |||||||
\(228\) | −2.21282 | − | 2.45759i | −0.146548 | − | 0.162758i | ||||
\(229\) | −0.557622 | + | 5.30541i | −0.0368487 | + | 0.350592i | 0.960527 | + | 0.278188i | \(0.0897337\pi\) |
−0.997375 | + | 0.0724039i | \(0.976933\pi\) | |||||||
\(230\) | −3.39865 | −0.224101 | ||||||||
\(231\) | −8.73675 | + | 0.818051i | −0.574836 | + | 0.0538238i | ||||
\(232\) | −3.41307 | −0.224079 | ||||||||
\(233\) | −2.04316 | + | 19.4394i | −0.133852 | + | 1.27352i | 0.697019 | + | 0.717052i | \(0.254509\pi\) |
−0.830871 | + | 0.556465i | \(0.812157\pi\) | |||||||
\(234\) | 0.159459 | + | 0.177097i | 0.0104241 | + | 0.0115772i | ||||
\(235\) | −7.51234 | − | 1.59680i | −0.490051 | − | 0.104164i | ||||
\(236\) | 18.0904 | + | 8.05435i | 1.17758 | + | 0.524293i | ||||
\(237\) | 9.94934 | − | 7.22862i | 0.646279 | − | 0.469549i | ||||
\(238\) | 1.17088 | − | 1.09506i | 0.0758967 | − | 0.0709821i | ||||
\(239\) | −1.87223 | + | 5.76213i | −0.121104 | + | 0.372721i | −0.993171 | − | 0.116666i | \(-0.962779\pi\) |
0.872067 | + | 0.489387i | \(0.162779\pi\) | |||||||
\(240\) | 1.47757 | − | 14.0581i | 0.0953768 | − | 0.907449i | ||||
\(241\) | 10.3827 | − | 17.9834i | 0.668809 | − | 1.15841i | −0.309428 | − | 0.950923i | \(-0.600138\pi\) |
0.978237 | − | 0.207488i | \(-0.0665290\pi\) | |||||||
\(242\) | −0.371446 | − | 1.43305i | −0.0238775 | − | 0.0921201i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −7.11123 | − | 5.16661i | −0.455250 | − | 0.330758i | ||||
\(245\) | 11.8712 | − | 22.4845i | 0.758424 | − | 1.43648i | ||||
\(246\) | −0.119488 | − | 0.367745i | −0.00761825 | − | 0.0234466i | ||||
\(247\) | 2.69920 | + | 1.20176i | 0.171746 | + | 0.0764662i | ||||
\(248\) | −0.302763 | − | 2.88059i | −0.0192254 | − | 0.182918i | ||||
\(249\) | −8.78682 | − | 1.86770i | −0.556842 | − | 0.118360i | ||||
\(250\) | 1.52699 | − | 0.324572i | 0.0965753 | − | 0.0205277i | ||||
\(251\) | −5.82856 | − | 4.23469i | −0.367895 | − | 0.267291i | 0.388442 | − | 0.921473i | \(-0.373013\pi\) |
−0.756338 | + | 0.654182i | \(0.773013\pi\) | |||||||
\(252\) | −2.22296 | − | 4.74906i | −0.140034 | − | 0.299163i | ||||
\(253\) | 14.9036 | + | 17.5951i | 0.936979 | + | 1.10619i | ||||
\(254\) | −1.37081 | − | 2.37431i | −0.0860122 | − | 0.148977i | ||||
\(255\) | −14.9399 | + | 6.65166i | −0.935571 | + | 0.416543i | ||||
\(256\) | 9.74963 | + | 10.8281i | 0.609352 | + | 0.676754i | ||||
\(257\) | 4.03242 | − | 4.47846i | 0.251536 | − | 0.279358i | −0.604132 | − | 0.796884i | \(-0.706480\pi\) |
0.855668 | + | 0.517526i | \(0.173147\pi\) | |||||||
\(258\) | 1.38991 | − | 1.00983i | 0.0865320 | − | 0.0628692i | ||||
\(259\) | −0.191124 | − | 10.1047i | −0.0118759 | − | 0.627876i | ||||
\(260\) | 3.93903 | + | 12.1231i | 0.244288 | + | 0.751841i | ||||
\(261\) | 6.22976 | − | 1.32418i | 0.385612 | − | 0.0819644i | ||||
\(262\) | 1.01938 | − | 0.453857i | 0.0629774 | − | 0.0280394i | ||||
\(263\) | 3.32270 | − | 5.75508i | 0.204886 | − | 0.354873i | −0.745210 | − | 0.666830i | \(-0.767651\pi\) |
0.950096 | + | 0.311956i | \(0.100984\pi\) | |||||||
\(264\) | 1.46887 | − | 1.00071i | 0.0904028 | − | 0.0615892i | ||||
\(265\) | −15.5761 | −0.956830 | ||||||||
\(266\) | 0.448978 | + | 0.389142i | 0.0275286 | + | 0.0238598i | ||||
\(267\) | −0.561078 | + | 1.72682i | −0.0343374 | + | 0.105680i | ||||
\(268\) | 9.77392 | − | 10.8550i | 0.597037 | − | 0.663077i | ||||
\(269\) | 2.06486 | + | 19.6459i | 0.125897 | + | 1.19783i | 0.856910 | + | 0.515466i | \(0.172381\pi\) |
−0.731013 | + | 0.682364i | \(0.760952\pi\) | |||||||
\(270\) | −0.0510979 | − | 0.486164i | −0.00310972 | − | 0.0295870i | ||||
\(271\) | 0.195497 | − | 0.217121i | 0.0118756 | − | 0.0131892i | −0.737178 | − | 0.675699i | \(-0.763842\pi\) |
0.749053 | + | 0.662510i | \(0.230509\pi\) | |||||||
\(272\) | 5.41444 | − | 16.6639i | 0.328299 | − | 1.01040i | ||||
\(273\) | 3.54019 | + | 3.06839i | 0.214262 | + | 0.185707i | ||||
\(274\) | −0.207849 | −0.0125566 | ||||||||
\(275\) | −21.4913 | − | 16.6309i | −1.29597 | − | 1.00288i | ||||
\(276\) | −6.88949 | + | 11.9330i | −0.414699 | + | 0.718279i | ||||
\(277\) | −16.3147 | + | 7.26379i | −0.980258 | + | 0.436439i | −0.833371 | − | 0.552714i | \(-0.813592\pi\) |
−0.146887 | + | 0.989153i | \(0.546925\pi\) | |||||||
\(278\) | 1.47644 | − | 0.313828i | 0.0885512 | − | 0.0188221i | ||||
\(279\) | 1.67021 | + | 5.14039i | 0.0999930 | + | 0.307747i | ||||
\(280\) | 0.0973915 | + | 5.14907i | 0.00582025 | + | 0.307716i | ||||
\(281\) | −12.8119 | + | 9.30839i | −0.764294 | + | 0.555292i | −0.900224 | − | 0.435426i | \(-0.856598\pi\) |
0.135930 | + | 0.990718i | \(0.456598\pi\) | |||||||
\(282\) | 0.190411 | − | 0.211473i | 0.0113388 | − | 0.0125930i | ||||
\(283\) | 10.5243 | + | 11.6885i | 0.625608 | + | 0.694808i | 0.969747 | − | 0.244111i | \(-0.0784960\pi\) |
−0.344140 | + | 0.938918i | \(0.611829\pi\) | |||||||
\(284\) | −15.4838 | + | 6.89384i | −0.918795 | + | 0.409074i | ||||
\(285\) | −3.03044 | − | 5.24888i | −0.179508 | − | 0.310917i | ||||
\(286\) | −0.415724 | + | 0.672211i | −0.0245823 | + | 0.0397487i | ||||
\(287\) | −3.22259 | − | 6.88462i | −0.190223 | − | 0.406386i | ||||
\(288\) | 1.29082 | + | 0.937832i | 0.0760620 | + | 0.0552623i | ||||
\(289\) | −3.19948 | + | 0.680071i | −0.188205 | + | 0.0400042i | ||||
\(290\) | −3.04537 | − | 0.647313i | −0.178830 | − | 0.0380115i | ||||
\(291\) | 0.803855 | + | 7.64817i | 0.0471228 | + | 0.448344i | ||||
\(292\) | 21.4424 | + | 9.54676i | 1.25482 | + | 0.558682i | ||||
\(293\) | −0.400843 | − | 1.23367i | −0.0234175 | − | 0.0720717i | 0.938665 | − | 0.344831i | \(-0.112064\pi\) |
−0.962082 | + | 0.272759i | \(0.912064\pi\) | |||||||
\(294\) | 0.501555 | + | 0.797468i | 0.0292513 | + | 0.0465093i | ||||
\(295\) | 29.3613 | + | 21.3322i | 1.70948 | + | 1.24201i | ||||
\(296\) | 1.02353 | + | 1.77281i | 0.0594915 | + | 0.103042i | ||||
\(297\) | −2.29284 | + | 2.39644i | −0.133044 | + | 0.139055i | ||||
\(298\) | 0.344663 | − | 0.596974i | 0.0199658 | − | 0.0345818i | ||||
\(299\) | 1.28683 | − | 12.2434i | 0.0744193 | − | 0.708052i | ||||
\(300\) | 5.01798 | − | 15.4438i | 0.289713 | − | 0.891646i | ||||
\(301\) | 24.6675 | − | 23.0701i | 1.42181 | − | 1.32974i | ||||
\(302\) | −0.310003 | + | 0.225231i | −0.0178387 | + | 0.0129606i | ||||
\(303\) | 5.90085 | + | 2.62723i | 0.338995 | + | 0.150930i | ||||
\(304\) | 6.35178 | + | 1.35011i | 0.364299 | + | 0.0774342i | ||||
\(305\) | −10.7795 | − | 11.9718i | −0.617232 | − | 0.685506i | ||||
\(306\) | 0.0633375 | − | 0.602616i | 0.00362076 | − | 0.0344493i | ||||
\(307\) | 15.2964 | 0.873012 | 0.436506 | − | 0.899701i | \(-0.356216\pi\) | ||||
0.436506 | + | 0.899701i | \(0.356216\pi\) | |||||||
\(308\) | 13.0554 | − | 11.4893i | 0.743899 | − | 0.654664i | ||||
\(309\) | 17.2057 | 0.978800 | ||||||||
\(310\) | 0.276180 | − | 2.62768i | 0.0156860 | − | 0.149242i | ||||
\(311\) | −17.7300 | − | 19.6912i | −1.00538 | − | 1.11659i | −0.993172 | − | 0.116660i | \(-0.962781\pi\) |
−0.0122061 | − | 0.999926i | \(-0.503885\pi\) | |||||||
\(312\) | −0.928177 | − | 0.197290i | −0.0525477 | − | 0.0111694i | ||||
\(313\) | 7.32032 | + | 3.25922i | 0.413769 | + | 0.184222i | 0.603054 | − | 0.797700i | \(-0.293950\pi\) |
−0.189285 | + | 0.981922i | \(0.560617\pi\) | |||||||
\(314\) | −0.666767 | + | 0.484435i | −0.0376279 | + | 0.0273382i | ||||
\(315\) | −2.17546 | − | 9.36064i | −0.122573 | − | 0.527413i | ||||
\(316\) | −7.53178 | + | 23.1804i | −0.423696 | + | 1.30400i | ||||
\(317\) | −1.22795 | + | 11.6831i | −0.0689684 | + | 0.656190i | 0.904359 | + | 0.426772i | \(0.140349\pi\) |
−0.973328 | + | 0.229419i | \(0.926318\pi\) | |||||||
\(318\) | 0.288561 | − | 0.499802i | 0.0161817 | − | 0.0280275i | ||||
\(319\) | 10.0032 | + | 18.6046i | 0.560070 | + | 1.04166i | ||||
\(320\) | 13.7456 | + | 23.8081i | 0.768402 | + | 1.33091i | ||||
\(321\) | 4.30862 | + | 3.13040i | 0.240484 | + | 0.174722i | ||||
\(322\) | 0.963960 | − | 2.28019i | 0.0537194 | − | 0.127070i | ||||
\(323\) | −2.32154 | − | 7.14497i | −0.129174 | − | 0.397557i | ||||
\(324\) | −1.81054 | − | 0.806106i | −0.100586 | − | 0.0447837i | ||||
\(325\) | 1.51653 | + | 14.4288i | 0.0841219 | + | 0.800366i | ||||
\(326\) | −2.08831 | − | 0.443883i | −0.115661 | − | 0.0245844i | ||||
\(327\) | 5.35700 | − | 1.13867i | 0.296243 | − | 0.0629684i | ||||
\(328\) | 1.24562 | + | 0.904999i | 0.0687781 | + | 0.0499702i | ||||
\(329\) | 3.20203 | − | 4.58720i | 0.176534 | − | 0.252901i | ||||
\(330\) | 1.50042 | − | 0.614314i | 0.0825953 | − | 0.0338169i | ||||
\(331\) | −5.04652 | − | 8.74082i | −0.277382 | − | 0.480439i | 0.693352 | − | 0.720599i | \(-0.256133\pi\) |
−0.970733 | + | 0.240160i | \(0.922800\pi\) | |||||||
\(332\) | 16.2643 | − | 7.24135i | 0.892622 | − | 0.397421i | ||||
\(333\) | −2.55601 | − | 2.83874i | −0.140069 | − | 0.155562i | ||||
\(334\) | −0.885213 | + | 0.983128i | −0.0484367 | + | 0.0537944i | ||||
\(335\) | 21.6579 | − | 15.7354i | 1.18330 | − | 0.859715i | ||||
\(336\) | 9.01266 | + | 4.97863i | 0.491681 | + | 0.271606i | ||||
\(337\) | −8.35918 | − | 25.7269i | −0.455354 | − | 1.40143i | −0.870719 | − | 0.491780i | \(-0.836346\pi\) |
0.415366 | − | 0.909655i | \(-0.363654\pi\) | |||||||
\(338\) | −1.29859 | + | 0.276024i | −0.0706340 | + | 0.0150137i | ||||
\(339\) | 8.23719 | − | 3.66743i | 0.447383 | − | 0.199188i | ||||
\(340\) | 16.2056 | − | 28.0690i | 0.878873 | − | 1.52225i | ||||
\(341\) | −14.8148 | + | 10.0929i | −0.802265 | + | 0.546563i | ||||
\(342\) | 0.224567 | 0.0121432 | ||||||||
\(343\) | 11.7181 | + | 14.3418i | 0.632716 | + | 0.774384i | ||||
\(344\) | −2.11398 | + | 6.50615i | −0.113978 | + | 0.350788i | ||||
\(345\) | −16.8977 | + | 18.7668i | −0.909744 | + | 1.01037i | ||||
\(346\) | −0.142894 | − | 1.35954i | −0.00768202 | − | 0.0730895i | ||||
\(347\) | 0.465767 | + | 4.43147i | 0.0250037 | + | 0.237894i | 0.999885 | + | 0.0151688i | \(0.00482857\pi\) |
−0.974881 | + | 0.222725i | \(0.928505\pi\) | |||||||
\(348\) | −8.44611 | + | 9.38035i | −0.452759 | + | 0.502840i | ||||
\(349\) | −1.96611 | + | 6.05107i | −0.105244 | + | 0.323906i | −0.989788 | − | 0.142550i | \(-0.954470\pi\) |
0.884544 | + | 0.466457i | \(0.154470\pi\) | |||||||
\(350\) | −0.552501 | + | 2.86468i | −0.0295324 | + | 0.153123i | ||||
\(351\) | 1.77071 | 0.0945137 | ||||||||
\(352\) | −1.78683 | + | 4.98100i | −0.0952383 | + | 0.265488i | ||||
\(353\) | −5.98019 | + | 10.3580i | −0.318294 | + | 0.551301i | −0.980132 | − | 0.198346i | \(-0.936443\pi\) |
0.661838 | + | 0.749646i | \(0.269776\pi\) | |||||||
\(354\) | −1.22845 | + | 0.546941i | −0.0652914 | + | 0.0290696i | ||||
\(355\) | −30.3845 | + | 6.45843i | −1.61264 | + | 0.342778i | ||||
\(356\) | −1.11199 | − | 3.42236i | −0.0589355 | − | 0.181385i | ||||
\(357\) | −0.225268 | − | 11.9099i | −0.0119225 | − | 0.630339i | ||||
\(358\) | 2.59803 | − | 1.88758i | 0.137310 | − | 0.0997618i | ||||
\(359\) | 24.3145 | − | 27.0039i | 1.28327 | − | 1.42521i | 0.430789 | − | 0.902453i | \(-0.358235\pi\) |
0.852479 | − | 0.522761i | \(-0.175098\pi\) | |||||||
\(360\) | 1.30247 | + | 1.44654i | 0.0686463 | + | 0.0762395i | ||||
\(361\) | −14.8138 | + | 6.59553i | −0.779673 | + | 0.347133i | ||||
\(362\) | 0.351813 | + | 0.609358i | 0.0184909 | + | 0.0320272i | ||||
\(363\) | −9.75989 | − | 5.07392i | −0.512261 | − | 0.266312i | ||||
\(364\) | −9.25072 | − | 0.795736i | −0.484869 | − | 0.0417079i | ||||
\(365\) | 34.8017 | + | 25.2849i | 1.82161 | + | 1.32347i | ||||
\(366\) | 0.583850 | − | 0.124101i | 0.0305184 | − | 0.00648688i | ||||
\(367\) | −12.4043 | − | 2.63662i | −0.647501 | − | 0.137631i | −0.127558 | − | 0.991831i | \(-0.540714\pi\) |
−0.519944 | + | 0.854200i | \(0.674047\pi\) | |||||||
\(368\) | −2.82818 | − | 26.9083i | −0.147429 | − | 1.40269i | ||||
\(369\) | −2.62471 | − | 1.16860i | −0.136637 | − | 0.0608347i | ||||
\(370\) | 0.577037 | + | 1.77594i | 0.0299987 | + | 0.0923266i | ||||
\(371\) | 4.41784 | − | 10.4501i | 0.229363 | − | 0.542544i | ||||
\(372\) | −8.66615 | − | 6.29632i | −0.449319 | − | 0.326449i | ||||
\(373\) | 18.5608 | + | 32.1483i | 0.961042 | + | 1.66457i | 0.719893 | + | 0.694085i | \(0.244191\pi\) |
0.241149 | + | 0.970488i | \(0.422476\pi\) | |||||||
\(374\) | 1.97749 | − | 0.358145i | 0.102254 | − | 0.0185192i | ||||
\(375\) | 5.79979 | − | 10.0455i | 0.299500 | − | 0.518749i | ||||
\(376\) | −0.118442 | + | 1.12690i | −0.00610816 | + | 0.0581152i | ||||
\(377\) | 3.48495 | − | 10.7256i | 0.179484 | − | 0.552396i | ||||
\(378\) | 0.340665 | + | 0.103609i | 0.0175219 | + | 0.00532905i | ||||
\(379\) | −4.33612 | + | 3.15038i | −0.222732 | + | 0.161824i | −0.693555 | − | 0.720403i | \(-0.743957\pi\) |
0.470824 | + | 0.882227i | \(0.343957\pi\) | |||||||
\(380\) | 10.9735 | + | 4.88572i | 0.562929 | + | 0.250632i | ||||
\(381\) | −19.9261 | − | 4.23542i | −1.02084 | − | 0.216987i | ||||
\(382\) | −1.15315 | − | 1.28070i | −0.0590003 | − | 0.0655265i | ||||
\(383\) | −3.61806 | + | 34.4235i | −0.184874 | + | 1.75896i | 0.371878 | + | 0.928282i | \(0.378714\pi\) |
−0.556752 | + | 0.830679i | \(0.687953\pi\) | |||||||
\(384\) | −4.20967 | −0.214824 | ||||||||
\(385\) | 27.7822 | − | 15.6220i | 1.41591 | − | 0.796172i | ||||
\(386\) | 1.03059 | 0.0524554 | ||||||||
\(387\) | 1.33436 | − | 12.6956i | 0.0678295 | − | 0.645355i | ||||
\(388\) | −10.1984 | − | 11.3265i | −0.517747 | − | 0.575016i | ||||
\(389\) | 20.9518 | + | 4.45344i | 1.06230 | + | 0.225798i | 0.705737 | − | 0.708474i | \(-0.250616\pi\) |
0.356561 | + | 0.934272i | \(0.383949\pi\) | |||||||
\(390\) | −0.790764 | − | 0.352071i | −0.0400419 | − | 0.0178278i | ||||
\(391\) | −25.3240 | + | 18.3990i | −1.28069 | + | 0.930477i | ||||
\(392\) | −3.48219 | − | 1.39509i | −0.175877 | − | 0.0704627i | ||||
\(393\) | 2.56211 | − | 7.88538i | 0.129242 | − | 0.397765i | ||||
\(394\) | −0.0720255 | + | 0.685277i | −0.00362859 | + | 0.0345237i | ||||
\(395\) | −22.3350 | + | 38.6854i | −1.12380 | + | 1.94647i | ||||
\(396\) | 0.884624 | − | 6.51338i | 0.0444540 | − | 0.327310i | ||||
\(397\) | −4.19484 | − | 7.26567i | −0.210533 | − | 0.364653i | 0.741349 | − | 0.671120i | \(-0.234187\pi\) |
−0.951881 | + | 0.306467i | \(0.900853\pi\) | |||||||
\(398\) | −1.49266 | − | 1.08448i | −0.0748205 | − | 0.0543603i | ||||
\(399\) | 4.38105 | − | 0.544414i | 0.219327 | − | 0.0272548i | ||||
\(400\) | 9.85336 | + | 30.3255i | 0.492668 | + | 1.51628i | ||||
\(401\) | 6.02561 | + | 2.68277i | 0.300904 | + | 0.133971i | 0.551635 | − | 0.834086i | \(-0.314004\pi\) |
−0.250731 | + | 0.968057i | \(0.580671\pi\) | |||||||
\(402\) | 0.103682 | + | 0.986467i | 0.00517118 | + | 0.0492005i | ||||
\(403\) | 9.36142 | + | 1.98983i | 0.466326 | + | 0.0991206i | ||||
\(404\) | −12.5218 | + | 2.66160i | −0.622984 | + | 0.132419i | ||||
\(405\) | −2.93858 | − | 2.13500i | −0.146019 | − | 0.106089i | ||||
\(406\) | 1.29805 | − | 1.85957i | 0.0644209 | − | 0.0922889i | ||||
\(407\) | 6.66377 | − | 10.7751i | 0.330311 | − | 0.534101i | ||||
\(408\) | 1.20638 | + | 2.08952i | 0.0597249 | + | 0.103447i | ||||
\(409\) | 6.38320 | − | 2.84198i | 0.315629 | − | 0.140527i | −0.242807 | − | 0.970075i | \(-0.578068\pi\) |
0.558436 | + | 0.829548i | \(0.311402\pi\) | |||||||
\(410\) | 0.939790 | + | 1.04374i | 0.0464129 | + | 0.0515468i | ||||
\(411\) | −1.03340 | + | 1.14771i | −0.0509740 | + | 0.0566123i | ||||
\(412\) | −27.5874 | + | 20.0434i | −1.35913 | + | 0.987467i | ||||
\(413\) | −22.6397 | + | 13.6483i | −1.11403 | + | 0.671590i | ||||
\(414\) | −0.289141 | − | 0.889885i | −0.0142105 | − | 0.0437355i | ||||
\(415\) | 31.9162 | − | 6.78400i | 1.56671 | − | 0.333013i | ||||
\(416\) | 2.58098 | − | 1.14913i | 0.126543 | − | 0.0563406i | ||||
\(417\) | 5.60781 | − | 9.71301i | 0.274616 | − | 0.475648i | ||||
\(418\) | 0.208613 | + | 0.714993i | 0.0102036 | + | 0.0349714i | ||||
\(419\) | −18.2877 | −0.893412 | −0.446706 | − | 0.894681i | \(-0.647403\pi\) | ||||
−0.446706 | + | 0.894681i | \(0.647403\pi\) | |||||||
\(420\) | 14.3925 | + | 12.4744i | 0.702284 | + | 0.608690i | ||||
\(421\) | 5.11386 | − | 15.7388i | 0.249234 | − | 0.767064i | −0.745677 | − | 0.666308i | \(-0.767874\pi\) |
0.994911 | − | 0.100756i | \(-0.0321262\pi\) | |||||||
\(422\) | 0.226811 | − | 0.251899i | 0.0110410 | − | 0.0122622i | ||||
\(423\) | −0.221017 | − | 2.10284i | −0.0107462 | − | 0.102243i | ||||
\(424\) | 0.240210 | + | 2.28545i | 0.0116656 | + | 0.110991i | ||||
\(425\) | 24.6840 | − | 27.4144i | 1.19735 | − | 1.32979i | ||||
\(426\) | 0.355664 | − | 1.09462i | 0.0172320 | − | 0.0530346i | ||||
\(427\) | 11.0894 | − | 3.83649i | 0.536654 | − | 0.185661i | ||||
\(428\) | −10.5550 | −0.510197 | ||||||||
\(429\) | 1.64491 | + | 5.63772i | 0.0794172 | + | 0.272192i | ||||
\(430\) | −3.12017 | + | 5.40429i | −0.150468 | + | 0.260618i | ||||
\(431\) | −24.5742 | + | 10.9412i | −1.18370 | + | 0.527017i | −0.901685 | − | 0.432394i | \(-0.857669\pi\) |
−0.282014 | + | 0.959410i | \(0.591002\pi\) | |||||||
\(432\) | 3.80661 | − | 0.809120i | 0.183146 | − | 0.0389288i | ||||
\(433\) | −8.20422 | − | 25.2500i | −0.394269 | − | 1.21344i | −0.929529 | − | 0.368749i | \(-0.879786\pi\) |
0.535260 | − | 0.844688i | \(-0.320214\pi\) | |||||||
\(434\) | 1.68460 | + | 0.930581i | 0.0808635 | + | 0.0446693i | ||||
\(435\) | −18.7156 | + | 13.5977i | −0.897345 | + | 0.651959i | ||||
\(436\) | −7.26286 | + | 8.06622i | −0.347828 | + | 0.386302i | ||||
\(437\) | −7.76258 | − | 8.62122i | −0.371334 | − | 0.412409i | ||||
\(438\) | −1.45607 | + | 0.648285i | −0.0695738 | + | 0.0309763i | ||||
\(439\) | 4.49707 | + | 7.78916i | 0.214634 | + | 0.371756i | 0.953159 | − | 0.302469i | \(-0.0978110\pi\) |
−0.738526 | + | 0.674225i | \(0.764478\pi\) | |||||||
\(440\) | −3.39567 | + | 5.49068i | −0.161882 | + | 0.261758i | ||||
\(441\) | 6.89717 | + | 1.19542i | 0.328437 | + | 0.0569247i | ||||
\(442\) | −0.868025 | − | 0.630657i | −0.0412877 | − | 0.0299973i | ||||
\(443\) | 15.9468 | − | 3.38960i | 0.757655 | − | 0.161045i | 0.187142 | − | 0.982333i | \(-0.440078\pi\) |
0.570513 | + | 0.821288i | \(0.306744\pi\) | |||||||
\(444\) | 7.40518 | + | 1.57402i | 0.351434 | + | 0.0746997i | ||||
\(445\) | −0.689374 | − | 6.55896i | −0.0326795 | − | 0.310924i | ||||
\(446\) | 1.64325 | + | 0.731623i | 0.0778103 | + | 0.0346434i | ||||
\(447\) | −1.58277 | − | 4.87127i | −0.0748625 | − | 0.230403i | ||||
\(448\) | −19.8717 | + | 2.46937i | −0.938851 | + | 0.116667i | ||||
\(449\) | −0.786378 | − | 0.571337i | −0.0371115 | − | 0.0269631i | 0.569075 | − | 0.822286i | \(-0.307301\pi\) |
−0.606186 | + | 0.795323i | \(0.707301\pi\) | |||||||
\(450\) | 0.551350 | + | 0.954966i | 0.0259909 | + | 0.0450175i | ||||
\(451\) | 1.28242 | − | 9.44232i | 0.0603869 | − | 0.444621i | ||||
\(452\) | −8.93507 | + | 15.4760i | −0.420270 | + | 0.727929i | ||||
\(453\) | −0.297614 | + | 2.83161i | −0.0139831 | + | 0.133041i | ||||
\(454\) | −0.131526 | + | 0.404796i | −0.00617283 | + | 0.0189980i | ||||
\(455\) | −16.2804 | − | 4.95147i | −0.763239 | − | 0.232129i | ||||
\(456\) | −0.723424 | + | 0.525598i | −0.0338774 | + | 0.0246134i | ||||
\(457\) | −2.40188 | − | 1.06938i | −0.112355 | − | 0.0500237i | 0.349789 | − | 0.936828i | \(-0.386253\pi\) |
−0.462144 | + | 0.886805i | \(0.652920\pi\) | |||||||
\(458\) | 0.702261 | + | 0.149270i | 0.0328145 | + | 0.00697494i | ||||
\(459\) | −3.01265 | − | 3.34588i | −0.140618 | − | 0.156172i | ||||
\(460\) | 5.23156 | − | 49.7750i | 0.243923 | − | 2.32077i | ||||
\(461\) | 40.9007 | 1.90494 | 0.952469 | − | 0.304637i | \(-0.0985351\pi\) | ||||
0.952469 | + | 0.304637i | \(0.0985351\pi\) | |||||||
\(462\) | −0.0134138 | + | 1.18088i | −0.000624067 | + | 0.0549396i | ||||
\(463\) | −14.1587 | −0.658009 | −0.329004 | − | 0.944328i | \(-0.606713\pi\) | ||||
−0.329004 | + | 0.944328i | \(0.606713\pi\) | |||||||
\(464\) | 2.59081 | − | 24.6499i | 0.120275 | − | 1.14434i | ||||
\(465\) | −13.1365 | − | 14.5896i | −0.609191 | − | 0.676575i | ||||
\(466\) | 2.57313 | + | 0.546936i | 0.119198 | + | 0.0253363i | ||||
\(467\) | −25.5734 | − | 11.3860i | −1.18340 | − | 0.526881i | −0.281804 | − | 0.959472i | \(-0.590933\pi\) |
−0.901591 | + | 0.432590i | \(0.857600\pi\) | |||||||
\(468\) | −2.83913 | + | 2.06275i | −0.131239 | + | 0.0953505i | ||||
\(469\) | 4.41419 | + | 18.9935i | 0.203828 | + | 0.877038i | ||||
\(470\) | −0.319406 | + | 0.983029i | −0.0147331 | + | 0.0453438i | ||||
\(471\) | −0.640121 | + | 6.09034i | −0.0294952 | + | 0.280628i | ||||
\(472\) | 2.67723 | − | 4.63711i | 0.123230 | − | 0.213440i | ||||
\(473\) | 41.6608 | − | 7.54522i | 1.91557 | − | 0.346930i | ||||
\(474\) | −0.827553 | − | 1.43336i | −0.0380108 | − | 0.0658366i | ||||
\(475\) | 11.0607 | + | 8.03606i | 0.507499 | + | 0.368720i | ||||
\(476\) | 14.2353 | + | 18.8337i | 0.652476 | + | 0.863241i | ||||
\(477\) | −1.32514 | − | 4.07835i | −0.0606738 | − | 0.186735i | ||||
\(478\) | 0.744897 | + | 0.331649i | 0.0340708 | + | 0.0151693i | ||||
\(479\) | −4.05106 | − | 38.5433i | −0.185098 | − | 1.76109i | −0.554844 | − | 0.831955i | \(-0.687222\pi\) |
0.369746 | − | 0.929133i | \(-0.379445\pi\) | |||||||
\(480\) | −5.66879 | − | 1.20494i | −0.258744 | − | 0.0549977i | ||||
\(481\) | −6.61614 | + | 1.40630i | −0.301670 | + | 0.0641220i | ||||
\(482\) | −2.26093 | − | 1.64266i | −0.102983 | − | 0.0748213i | ||||
\(483\) | −7.79815 | − | 16.6597i | −0.354828 | − | 0.758042i | ||||
\(484\) | 21.5595 | − | 3.23411i | 0.979979 | − | 0.147005i | ||||
\(485\) | −13.9667 | − | 24.1910i | −0.634194 | − | 1.09846i | ||||
\(486\) | 0.122947 | − | 0.0547397i | 0.00557701 | − | 0.00248304i | ||||
\(487\) | −1.02563 | − | 1.13908i | −0.0464758 | − | 0.0516166i | 0.719459 | − | 0.694535i | \(-0.244390\pi\) |
−0.765934 | + | 0.642919i | \(0.777723\pi\) | |||||||
\(488\) | −1.59037 | + | 1.76628i | −0.0719925 | + | 0.0799558i | ||||
\(489\) | −12.8339 | + | 9.32437i | −0.580368 | + | 0.421662i | ||||
\(490\) | −2.84245 | − | 1.90522i | −0.128409 | − | 0.0860688i | ||||
\(491\) | 1.90964 | + | 5.87727i | 0.0861808 | + | 0.265237i | 0.984855 | − | 0.173379i | \(-0.0554686\pi\) |
−0.898674 | + | 0.438617i | \(0.855469\pi\) | |||||||
\(492\) | 5.56974 | − | 1.18388i | 0.251103 | − | 0.0533736i | ||||
\(493\) | −26.1959 | + | 11.6632i | −1.17981 | + | 0.525283i | ||||
\(494\) | 0.198822 | − | 0.344370i | 0.00894542 | − | 0.0154939i | ||||
\(495\) | 4.06776 | − | 11.3394i | 0.182832 | − | 0.509667i | ||||
\(496\) | 21.0341 | 0.944458 | ||||||||
\(497\) | 4.28494 | − | 22.2171i | 0.192206 | − | 0.996572i | ||||
\(498\) | −0.373593 | + | 1.14980i | −0.0167411 | + | 0.0515239i | ||||
\(499\) | −9.78087 | + | 10.8628i | −0.437852 | + | 0.486284i | −0.921170 | − | 0.389161i | \(-0.872765\pi\) |
0.483318 | + | 0.875445i | \(0.339432\pi\) | |||||||
\(500\) | 2.40301 | + | 22.8631i | 0.107466 | + | 1.02247i | ||||
\(501\) | 1.02750 | + | 9.77602i | 0.0459053 | + | 0.436760i | ||||
\(502\) | −0.648789 | + | 0.720553i | −0.0289569 | + | 0.0321599i | ||||
\(503\) | −5.92996 | + | 18.2505i | −0.264404 | + | 0.813752i | 0.727426 | + | 0.686186i | \(0.240716\pi\) |
−0.991830 | + | 0.127566i | \(0.959284\pi\) | |||||||
\(504\) | −1.33992 | + | 0.463559i | −0.0596848 | + | 0.0206486i | ||||
\(505\) | −23.4619 | −1.04404 | ||||||||
\(506\) | 2.56468 | − | 1.74725i | 0.114014 | − | 0.0776748i | ||||
\(507\) | −4.93229 | + | 8.54297i | −0.219051 | + | 0.379407i | ||||
\(508\) | 36.8830 | − | 16.4214i | 1.63642 | − | 0.728581i | ||||
\(509\) | −32.4744 | + | 6.90265i | −1.43940 | + | 0.305955i | −0.860504 | − | 0.509444i | \(-0.829851\pi\) |
−0.578900 | + | 0.815399i | \(0.696518\pi\) | |||||||
\(510\) | 0.680124 | + | 2.09321i | 0.0301164 | + | 0.0926888i | ||||
\(511\) | −26.8347 | + | 16.1772i | −1.18710 | + | 0.715639i | ||||
\(512\) | 8.39783 | − | 6.10138i | 0.371135 | − | 0.269646i | ||||
\(513\) | 1.11652 | − | 1.24002i | 0.0492957 | − | 0.0547484i | ||||
\(514\) | −0.542694 | − | 0.602723i | −0.0239372 | − | 0.0265850i | ||||
\(515\) | −57.0930 | + | 25.4195i | −2.51582 | + | 1.12011i | ||||
\(516\) | 12.6499 | + | 21.9103i | 0.556883 | + | 0.964549i | ||||
\(517\) | 6.48985 | − | 2.65713i | 0.285423 | − | 0.116861i | ||||
\(518\) | −1.35516 | − | 0.116569i | −0.0595422 | − | 0.00512175i | ||||
\(519\) | −8.21764 | − | 5.97047i | −0.360715 | − | 0.262074i | ||||
\(520\) | 3.37140 | − | 0.716613i | 0.147846 | − | 0.0314256i | ||||
\(521\) | −28.2101 | − | 5.99624i | −1.23591 | − | 0.262700i | −0.456788 | − | 0.889576i | \(-0.651000\pi\) |
−0.779119 | + | 0.626876i | \(0.784333\pi\) | |||||||
\(522\) | −0.0895964 | − | 0.852453i | −0.00392153 | − | 0.0373108i | ||||
\(523\) | 24.1977 | + | 10.7735i | 1.05809 | + | 0.471093i | 0.860637 | − | 0.509219i | \(-0.170066\pi\) |
0.197455 | + | 0.980312i | \(0.436732\pi\) | |||||||
\(524\) | 5.07782 | + | 15.6279i | 0.221826 | + | 0.682709i | ||||
\(525\) | 13.0713 | + | 17.2937i | 0.570479 | + | 0.754758i | ||||
\(526\) | −0.723549 | − | 0.525689i | −0.0315482 | − | 0.0229211i | ||||
\(527\) | −12.1674 | − | 21.0745i | −0.530019 | − | 0.918019i | ||||
\(528\) | 6.11231 | + | 11.3681i | 0.266004 | + | 0.494734i | ||||
\(529\) | −12.6683 | + | 21.9422i | −0.550796 | + | 0.954008i | ||||
\(530\) | −0.219120 | + | 2.08479i | −0.00951796 | + | 0.0905573i | ||||
\(531\) | −3.08760 | + | 9.50264i | −0.133990 | + | 0.412380i | ||||
\(532\) | −6.39029 | + | 5.97650i | −0.277054 | + | 0.259114i | ||||
\(533\) | −4.11583 | + | 2.99032i | −0.178276 | + | 0.129525i | ||||
\(534\) | 0.223234 | + | 0.0993902i | 0.00966028 | + | 0.00430103i | ||||
\(535\) | −18.9219 | − | 4.02198i | −0.818065 | − | 0.173885i | ||||
\(536\) | −2.64282 | − | 2.93515i | −0.114153 | − | 0.126779i | ||||
\(537\) | 2.49421 | − | 23.7308i | 0.107633 | − | 1.02406i | ||||
\(538\) | 2.65856 | 0.114619 | ||||||||
\(539\) | 2.60110 | + | 23.0702i | 0.112037 | + | 0.993704i | ||||
\(540\) | 7.19877 | 0.309786 | ||||||||
\(541\) | 3.41352 | − | 32.4775i | 0.146759 | − | 1.39632i | −0.634893 | − | 0.772600i | \(-0.718956\pi\) |
0.781652 | − | 0.623715i | \(-0.214377\pi\) | |||||||
\(542\) | −0.0263105 | − | 0.0292207i | −0.00113013 | − | 0.00125514i | ||||
\(543\) | 5.11396 | + | 1.08701i | 0.219461 | + | 0.0466479i | ||||
\(544\) | −6.56257 | − | 2.92184i | −0.281368 | − | 0.125273i | ||||
\(545\) | −16.0937 | + | 11.6927i | −0.689377 | + | 0.500861i | ||||
\(546\) | 0.460492 | − | 0.430673i | 0.0197072 | − | 0.0184311i | ||||
\(547\) | −1.11411 | + | 3.42887i | −0.0476357 | + | 0.146608i | −0.972045 | − | 0.234794i | \(-0.924558\pi\) |
0.924409 | + | 0.381402i | \(0.124558\pi\) | |||||||
\(548\) | 0.319943 | − | 3.04405i | 0.0136673 | − | 0.130035i | ||||
\(549\) | 2.21757 | − | 3.84095i | 0.0946437 | − | 0.163928i | ||||
\(550\) | −2.52831 | + | 2.64255i | −0.107807 | + | 0.112679i | ||||
\(551\) | −5.31366 | − | 9.20352i | −0.226369 | − | 0.392083i | ||||
\(552\) | 3.01421 | + | 2.18995i | 0.128293 | + | 0.0932107i | ||||
\(553\) | −19.6195 | − | 25.9571i | −0.834306 | − | 1.10381i | ||||
\(554\) | 0.742714 | + | 2.28584i | 0.0315549 | + | 0.0971160i | ||||
\(555\) | 12.6754 | + | 5.64346i | 0.538041 | + | 0.239551i | ||||
\(556\) | 2.32347 | + | 22.1063i | 0.0985370 | + | 0.937517i | ||||
\(557\) | −11.6509 | − | 2.47648i | −0.493666 | − | 0.104932i | −0.0456502 | − | 0.998957i | \(-0.514536\pi\) |
−0.448016 | + | 0.894025i | \(0.647869\pi\) | |||||||
\(558\) | 0.711513 | − | 0.151237i | 0.0301208 | − | 0.00640237i | ||||
\(559\) | −18.2871 | − | 13.2864i | −0.773463 | − | 0.561953i | ||||
\(560\) | −37.2616 | − | 3.20520i | −1.57459 | − | 0.135445i | ||||
\(561\) | 7.85425 | − | 12.7001i | 0.331607 | − | 0.536197i | ||||
\(562\) | 1.06565 | + | 1.84576i | 0.0449518 | + | 0.0778588i | ||||
\(563\) | 33.8481 | − | 15.0702i | 1.42653 | − | 0.635131i | 0.459125 | − | 0.888372i | \(-0.348163\pi\) |
0.967403 | + | 0.253240i | \(0.0814963\pi\) | |||||||
\(564\) | 2.80402 | + | 3.11418i | 0.118071 | + | 0.131131i | ||||
\(565\) | −21.9149 | + | 24.3389i | −0.921966 | + | 1.02395i | ||||
\(566\) | 1.71250 | − | 1.24421i | 0.0719819 | − | 0.0522979i | ||||
\(567\) | 2.26586 | − | 1.36597i | 0.0951572 | − | 0.0573653i | ||||
\(568\) | 1.41622 | + | 4.35866i | 0.0594231 | + | 0.182885i | ||||
\(569\) | −31.2890 | + | 6.65068i | −1.31170 | + | 0.278811i | −0.810102 | − | 0.586288i | \(-0.800589\pi\) |
−0.501601 | + | 0.865099i | \(0.667255\pi\) | |||||||
\(570\) | −0.745171 | + | 0.331771i | −0.0312118 | + | 0.0138964i | ||||
\(571\) | 12.6897 | − | 21.9792i | 0.531047 | − | 0.919800i | −0.468297 | − | 0.883571i | \(-0.655132\pi\) |
0.999344 | − | 0.0362289i | \(-0.0115345\pi\) | |||||||
\(572\) | −9.20494 | − | 7.12322i | −0.384878 | − | 0.297837i | ||||
\(573\) | −12.8052 | −0.534945 | ||||||||
\(574\) | −0.966809 | + | 0.334478i | −0.0403538 | + | 0.0139608i | ||||
\(575\) | 17.6031 | − | 54.1767i | 0.734099 | − | 2.25932i | ||||
\(576\) | −5.06436 | + | 5.62455i | −0.211015 | + | 0.234356i | ||||
\(577\) | 0.961625 | + | 9.14925i | 0.0400330 | + | 0.380888i | 0.996134 | + | 0.0878500i | \(0.0279996\pi\) |
−0.956101 | + | 0.293038i | \(0.905334\pi\) | |||||||
\(578\) | 0.0460150 | + | 0.437804i | 0.00191397 | + | 0.0182102i | ||||
\(579\) | 5.12396 | − | 5.69074i | 0.212945 | − | 0.236499i | ||||
\(580\) | 14.1680 | − | 43.6045i | 0.588293 | − | 1.81058i | ||||
\(581\) | −4.50094 | + | 23.3370i | −0.186730 | + | 0.968183i | ||||
\(582\) | 1.03498 | 0.0429014 | ||||||||
\(583\) | 11.7540 | − | 8.00767i | 0.486799 | − | 0.331644i | ||||
\(584\) | 3.17331 | − | 5.49633i | 0.131312 | − | 0.227440i | ||||
\(585\) | −5.87568 | + | 2.61602i | −0.242929 | + | 0.108159i | ||||
\(586\) | −0.170760 | + | 0.0362961i | −0.00705403 | + | 0.00149938i | ||||
\(587\) | 10.8556 | + | 33.4102i | 0.448060 | + | 1.37899i | 0.879093 | + | 0.476650i | \(0.158149\pi\) |
−0.431034 | + | 0.902336i | \(0.641851\pi\) | |||||||
\(588\) | −12.4514 | + | 6.11797i | −0.513486 | + | 0.252301i | ||||
\(589\) | 7.29632 | − | 5.30109i | 0.300640 | − | 0.218427i | ||||
\(590\) | 3.26827 | − | 3.62978i | 0.134552 | − | 0.149436i | ||||
\(591\) | 3.42589 | + | 3.80483i | 0.140922 | + | 0.156510i | ||||
\(592\) | −13.5805 | + | 6.04644i | −0.558156 | + | 0.248507i | ||||
\(593\) | 14.1710 | + | 24.5448i | 0.581932 | + | 1.00793i | 0.995250 | + | 0.0973486i | \(0.0310362\pi\) |
−0.413319 | + | 0.910586i | \(0.635631\pi\) | |||||||
\(594\) | 0.288497 | + | 0.340598i | 0.0118372 | + | 0.0139749i | ||||
\(595\) | 18.3430 | + | 39.1873i | 0.751989 | + | 1.60652i | ||||
\(596\) | 8.21244 | + | 5.96669i | 0.336395 | + | 0.244405i | ||||
\(597\) | −13.4097 | + | 2.85032i | −0.548823 | + | 0.116656i | ||||
\(598\) | −1.62062 | − | 0.344472i | −0.0662719 | − | 0.0140865i | ||||
\(599\) | 1.45766 | + | 13.8687i | 0.0595582 | + | 0.566659i | 0.983088 | + | 0.183132i | \(0.0586237\pi\) |
−0.923530 | + | 0.383526i | \(0.874710\pi\) | |||||||
\(600\) | −4.01122 | − | 1.78591i | −0.163757 | − | 0.0729095i | ||||
\(601\) | −11.9062 | − | 36.6434i | −0.485662 | − | 1.49471i | −0.831019 | − | 0.556243i | \(-0.812242\pi\) |
0.345357 | − | 0.938471i | \(-0.387758\pi\) | |||||||
\(602\) | −2.74082 | − | 3.62617i | −0.111707 | − | 0.147792i | ||||
\(603\) | 5.96261 | + | 4.33209i | 0.242816 | + | 0.176416i | ||||
\(604\) | −2.82142 | − | 4.88685i | −0.114802 | − | 0.198843i | ||||
\(605\) | 39.8819 | + | 2.41747i | 1.62143 | + | 0.0982839i | ||||
\(606\) | 0.434654 | − | 0.752843i | 0.0176566 | − | 0.0305821i | ||||
\(607\) | −3.89130 | + | 37.0233i | −0.157943 | + | 1.50273i | 0.572585 | + | 0.819845i | \(0.305941\pi\) |
−0.730528 | + | 0.682883i | \(0.760726\pi\) | |||||||
\(608\) | 0.822708 | − | 2.53203i | 0.0333652 | − | 0.102688i | ||||
\(609\) | −3.81451 | − | 16.4132i | −0.154572 | − | 0.665096i | ||||
\(610\) | −1.75402 | + | 1.27437i | −0.0710182 | + | 0.0515977i | ||||
\(611\) | −3.42034 | − | 1.52283i | −0.138372 | − | 0.0616073i | ||||
\(612\) | 8.72812 | + | 1.85522i | 0.352813 | + | 0.0749928i | ||||
\(613\) | −9.64411 | − | 10.7109i | −0.389522 | − | 0.432608i | 0.516208 | − | 0.856463i | \(-0.327343\pi\) |
−0.905730 | + | 0.423855i | \(0.860677\pi\) | |||||||
\(614\) | 0.215186 | − | 2.04735i | 0.00868419 | − | 0.0826245i | ||||
\(615\) | 10.4359 | 0.420817 | ||||||||
\(616\) | −2.72064 | − | 3.83551i | −0.109618 | − | 0.154537i | ||||
\(617\) | −28.0965 | −1.13112 | −0.565562 | − | 0.824706i | \(-0.691341\pi\) | ||||
−0.565562 | + | 0.824706i | \(0.691341\pi\) | |||||||
\(618\) | 0.242046 | − | 2.30291i | 0.00973650 | − | 0.0926366i | ||||
\(619\) | 12.2489 | + | 13.6038i | 0.492324 | + | 0.546781i | 0.937192 | − | 0.348815i | \(-0.113416\pi\) |
−0.444867 | + | 0.895596i | \(0.646749\pi\) | |||||||
\(620\) | 38.0586 | + | 8.08960i | 1.52847 | + | 0.324886i | ||||
\(621\) | −6.35138 | − | 2.82782i | −0.254872 | − | 0.113476i | ||||
\(622\) | −2.88500 | + | 2.09607i | −0.115678 | + | 0.0840449i | ||||
\(623\) | 4.59599 | + | 1.39781i | 0.184135 | + | 0.0560020i | ||||
\(624\) | 2.12944 | − | 6.55373i | 0.0852457 | − | 0.262359i | ||||
\(625\) | −0.121839 | + | 1.15922i | −0.00487358 | + | 0.0463690i | ||||
\(626\) | 0.539212 | − | 0.933942i | 0.0215512 | − | 0.0373278i | ||||
\(627\) | 4.98528 | + | 2.40294i | 0.199093 | + | 0.0959642i | ||||
\(628\) | −6.06843 | − | 10.5108i | −0.242157 | − | 0.419428i | ||||
\(629\) | 13.9138 | + | 10.1090i | 0.554782 | + | 0.403072i | ||||
\(630\) | −1.28348 | + | 0.159493i | −0.0511352 | + | 0.00635435i | ||||
\(631\) | 4.27754 | + | 13.1649i | 0.170286 | + | 0.524087i | 0.999387 | − | 0.0350126i | \(-0.0111471\pi\) |
−0.829101 | + | 0.559099i | \(0.811147\pi\) | |||||||
\(632\) | 6.02067 | + | 2.68058i | 0.239489 | + | 0.106628i | ||||
\(633\) | −0.263268 | − | 2.50483i | −0.0104640 | − | 0.0995580i | ||||
\(634\) | 1.54646 | + | 0.328710i | 0.0614178 | + | 0.0130548i | ||||
\(635\) | 72.3771 | − | 15.3842i | 2.87220 | − | 0.610505i | ||||
\(636\) | 6.87567 | + | 4.99547i | 0.272638 | + | 0.198083i | ||||
\(637\) | 7.93961 | − | 9.51832i | 0.314579 | − | 0.377129i | ||||
\(638\) | 2.63087 | − | 1.07715i | 0.104157 | − | 0.0426449i | ||||
\(639\) | −4.27601 | − | 7.40627i | −0.169156 | − | 0.292987i | ||||
\(640\) | 13.9688 | − | 6.21929i | 0.552164 | − | 0.245839i | ||||
\(641\) | −9.73705 | − | 10.8141i | −0.384590 | − | 0.427131i | 0.519501 | − | 0.854470i | \(-0.326118\pi\) |
−0.904092 | + | 0.427339i | \(0.859451\pi\) | |||||||
\(642\) | 0.479602 | − | 0.532652i | 0.0189284 | − | 0.0210221i | ||||
\(643\) | 37.5696 | − | 27.2959i | 1.48160 | − | 1.07644i | 0.504562 | − | 0.863376i | \(-0.331654\pi\) |
0.977037 | − | 0.213069i | \(-0.0683459\pi\) | |||||||
\(644\) | 31.9107 | + | 17.6276i | 1.25746 | + | 0.694624i | ||||
\(645\) | 14.3285 | + | 44.0987i | 0.564185 | + | 1.73638i | ||||
\(646\) | −0.988980 | + | 0.210214i | −0.0389109 | + | 0.00827077i | ||||
\(647\) | 33.1864 | − | 14.7756i | 1.30469 | − | 0.580887i | 0.367606 | − | 0.929982i | \(-0.380178\pi\) |
0.937087 | + | 0.349095i | \(0.113511\pi\) | |||||||
\(648\) | −0.267947 | + | 0.464097i | −0.0105259 | + | 0.0182315i | ||||
\(649\) | −33.1234 | − | 1.00298i | −1.30021 | − | 0.0393703i | ||||
\(650\) | 1.95256 | 0.0765859 | ||||||||
\(651\) | 13.5142 | − | 4.67537i | 0.529663 | − | 0.183242i | ||||
\(652\) | 9.71543 | − | 29.9010i | 0.380486 | − | 1.17101i | ||||
\(653\) | −2.69827 | + | 2.99674i | −0.105592 | + | 0.117271i | −0.793624 | − | 0.608409i | \(-0.791808\pi\) |
0.688032 | + | 0.725680i | \(0.258475\pi\) | |||||||
\(654\) | −0.0770445 | − | 0.733029i | −0.00301268 | − | 0.0286637i | ||||
\(655\) | 3.14797 | + | 29.9509i | 0.123001 | + | 1.17028i | ||||
\(656\) | −7.48163 | + | 8.30919i | −0.292109 | + | 0.324419i | ||||
\(657\) | −3.65970 | + | 11.2634i | −0.142779 | + | 0.439427i | ||||
\(658\) | −0.568931 | − | 0.493109i | −0.0221792 | − | 0.0192234i | ||||
\(659\) | 6.28927 | 0.244995 | 0.122498 | − | 0.992469i | \(-0.460910\pi\) | ||||
0.122498 | + | 0.992469i | \(0.460910\pi\) | |||||||
\(660\) | 6.68734 | + | 22.9200i | 0.260304 | + | 0.892159i | ||||
\(661\) | 21.1068 | − | 36.5581i | 0.820960 | − | 1.42194i | −0.0840081 | − | 0.996465i | \(-0.526772\pi\) |
0.904968 | − | 0.425479i | \(-0.139895\pi\) | |||||||
\(662\) | −1.24091 | + | 0.552490i | −0.0482294 | + | 0.0214731i | ||||
\(663\) | −7.79812 | + | 1.65754i | −0.302854 | + | 0.0643735i | ||||
\(664\) | −1.48761 | − | 4.57838i | −0.0577303 | − | 0.177676i | ||||
\(665\) | −13.7331 | + | 8.27899i | −0.532548 | + | 0.321045i | ||||
\(666\) | −0.415910 | + | 0.302176i | −0.0161162 | + | 0.0117091i | ||||
\(667\) | −29.6289 | + | 32.9062i | −1.14724 | + | 1.27414i | ||||
\(668\) | −13.0358 | − | 14.4777i | −0.504370 | − | 0.560160i | ||||
\(669\) | 12.2100 | − | 5.43624i | 0.472065 | − | 0.210177i | ||||
\(670\) | −1.80143 | − | 3.12017i | −0.0695954 | − | 0.120543i | ||||
\(671\) | 14.2891 | + | 3.49240i | 0.551625 | + | 0.134823i | ||||
\(672\) | 2.41624 | − | 3.46149i | 0.0932086 | − | 0.133530i | ||||
\(673\) | −27.3473 | − | 19.8690i | −1.05416 | − | 0.765894i | −0.0811631 | − | 0.996701i | \(-0.525863\pi\) |
−0.973000 | + | 0.230807i | \(0.925863\pi\) | |||||||
\(674\) | −3.56103 | + | 0.756920i | −0.137166 | + | 0.0291555i | ||||
\(675\) | 8.01442 | + | 1.70352i | 0.308475 | + | 0.0655685i | ||||
\(676\) | −2.04358 | − | 19.4434i | −0.0785993 | − | 0.747822i | ||||
\(677\) | 34.4655 | + | 15.3450i | 1.32462 | + | 0.589757i | 0.942453 | − | 0.334337i | \(-0.108513\pi\) |
0.382163 | + | 0.924095i | \(0.375179\pi\) | |||||||
\(678\) | −0.374991 | − | 1.15410i | −0.0144014 | − | 0.0443230i | ||||
\(679\) | 20.1913 | − | 2.50909i | 0.774872 | − | 0.0962899i | ||||
\(680\) | −7.09010 | − | 5.15126i | −0.271893 | − | 0.197542i | ||||
\(681\) | 1.58129 | + | 2.73887i | 0.0605951 | + | 0.104954i | ||||
\(682\) | 1.14248 | + | 2.12488i | 0.0437479 | + | 0.0813657i | ||||
\(683\) | −4.97965 | + | 8.62501i | −0.190541 | + | 0.330027i | −0.945430 | − | 0.325826i | \(-0.894358\pi\) |
0.754889 | + | 0.655853i | \(0.227691\pi\) | |||||||
\(684\) | −0.345677 | + | 3.28890i | −0.0132173 | + | 0.125754i | ||||
\(685\) | 1.73349 | − | 5.33512i | 0.0662331 | − | 0.203845i | ||||
\(686\) | 2.08443 | − | 1.36665i | 0.0795839 | − | 0.0521790i | ||||
\(687\) | 4.31581 | − | 3.13562i | 0.164659 | − | 0.119631i | ||||
\(688\) | −45.3841 | − | 20.2063i | −1.73025 | − | 0.770358i | ||||
\(689\) | −7.42730 | − | 1.57872i | −0.282957 | − | 0.0601445i | ||||
\(690\) | 2.27414 | + | 2.52569i | 0.0865752 | + | 0.0961515i | ||||
\(691\) | 2.18744 | − | 20.8121i | 0.0832140 | − | 0.791728i | −0.870734 | − | 0.491755i | \(-0.836356\pi\) |
0.953948 | − | 0.299973i | \(-0.0969778\pi\) | |||||||
\(692\) | 20.1312 | 0.765272 | ||||||||
\(693\) | 6.45396 | + | 5.94529i | 0.245166 | + | 0.225843i | ||||
\(694\) | 0.599685 | 0.0227637 | ||||||||
\(695\) | −4.25831 | + | 40.5151i | −0.161527 | + | 1.53683i | ||||
\(696\) | 2.28379 | + | 2.53640i | 0.0865668 | + | 0.0961421i | ||||
\(697\) | 12.6530 | + | 2.68947i | 0.479266 | + | 0.101871i | ||||
\(698\) | 0.782250 | + | 0.348280i | 0.0296086 | + | 0.0131826i | ||||
\(699\) | 15.8134 | − | 11.4891i | 0.598119 | − | 0.434559i | ||||
\(700\) | −41.1041 | − | 12.5013i | −1.55359 | − | 0.472503i | ||||
\(701\) | −13.9597 | + | 42.9636i | −0.527251 | + | 1.62271i | 0.232571 | + | 0.972580i | \(0.425286\pi\) |
−0.759821 | + | 0.650132i | \(0.774714\pi\) | |||||||
\(702\) | 0.0249099 | − | 0.237002i | 0.000940164 | − | 0.00894506i | ||||
\(703\) | −3.18698 | + | 5.52001i | −0.120199 | + | 0.208191i | ||||
\(704\) | −22.6124 | − | 10.8993i | −0.852237 | − | 0.410784i | ||||
\(705\) | 3.84008 | + | 6.65122i | 0.144626 | + | 0.250499i | ||||
\(706\) | 1.30224 | + | 0.946135i | 0.0490106 | + | 0.0356083i | ||||
\(707\) | 6.65451 | − | 15.7408i | 0.250268 | − | 0.591995i | ||||
\(708\) | −6.11927 | − | 18.8332i | −0.229976 | − | 0.707794i | ||||
\(709\) | 10.4594 | + | 4.65684i | 0.392812 | + | 0.174891i | 0.593631 | − | 0.804737i | \(-0.297694\pi\) |
−0.200819 | + | 0.979628i | \(0.564360\pi\) | |||||||
\(710\) | 0.436991 | + | 4.15769i | 0.0164000 | + | 0.156035i | ||||
\(711\) | −12.0293 | − | 2.55691i | −0.451135 | − | 0.0958916i | ||||
\(712\) | −0.951751 | + | 0.202301i | −0.0356684 | + | 0.00758155i | ||||
\(713\) | −30.4008 | − | 22.0875i | −1.13852 | − | 0.827183i | ||||
\(714\) | −1.59726 | − | 0.137394i | −0.0597758 | − | 0.00514185i | ||||
\(715\) | −13.7873 | − | 16.2772i | −0.515616 | − | 0.608734i | ||||
\(716\) | 23.6454 | + | 40.9551i | 0.883671 | + | 1.53056i | ||||
\(717\) | 5.53486 | − | 2.46428i | 0.206703 | − | 0.0920302i | ||||
\(718\) | −3.27231 | − | 3.63426i | −0.122121 | − | 0.135630i | ||||
\(719\) | 25.0465 | − | 27.8169i | 0.934076 | − | 1.03740i | −0.0651432 | − | 0.997876i | \(-0.520750\pi\) |
0.999219 | − | 0.0395201i | \(-0.0125829\pi\) | |||||||
\(720\) | −11.4359 | + | 8.30869i | −0.426192 | + | 0.309646i | ||||
\(721\) | −0.860868 | − | 45.5140i | −0.0320604 | − | 1.69503i | ||||
\(722\) | 0.674385 | + | 2.07554i | 0.0250980 | + | 0.0772437i | ||||
\(723\) | −20.3116 | + | 4.31737i | −0.755398 | + | 0.160565i | ||||
\(724\) | −9.46590 | + | 4.21449i | −0.351797 | + | 0.156630i | ||||
\(725\) | 26.0918 | − | 45.1924i | 0.969026 | − | 1.67840i | ||||
\(726\) | −0.816420 | + | 1.23494i | −0.0303002 | + | 0.0458328i | ||||
\(727\) | 36.5013 | 1.35376 | 0.676879 | − | 0.736094i | \(-0.263332\pi\) | ||||
0.676879 | + | 0.736094i | \(0.263332\pi\) | |||||||
\(728\) | −0.475447 | + | 2.46516i | −0.0176212 | + | 0.0913648i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 3.87385 | − | 4.30235i | 0.143378 | − | 0.159237i | ||||
\(731\) | 6.00774 | + | 57.1598i | 0.222204 | + | 2.11413i | ||||
\(732\) | 0.918801 | + | 8.74181i | 0.0339599 | + | 0.323107i | ||||
\(733\) | 13.9994 | − | 15.5479i | 0.517078 | − | 0.574274i | −0.426892 | − | 0.904302i | \(-0.640392\pi\) |
0.943971 | + | 0.330029i | \(0.107058\pi\) | |||||||
\(734\) | −0.527401 | + | 1.62317i | −0.0194667 | + | 0.0599124i | ||||
\(735\) | −24.6527 | + | 6.22305i | −0.909327 | + | 0.229541i | ||||
\(736\) | −11.0929 | −0.408889 | ||||||||
\(737\) | −8.25382 | + | 23.0085i | −0.304033 | + | 0.847529i | ||||
\(738\) | −0.193335 | + | 0.334866i | −0.00711676 | + | 0.0123266i | ||||
\(739\) | −43.2596 | + | 19.2604i | −1.59133 | + | 0.708506i | −0.995514 | − | 0.0946158i | \(-0.969838\pi\) |
−0.595816 | + | 0.803121i | \(0.703171\pi\) | |||||||
\(740\) | −26.8977 | + | 5.71729i | −0.988780 | + | 0.210172i | ||||
\(741\) | −0.913035 | − | 2.81003i | −0.0335412 | − | 0.103229i | ||||
\(742\) | −1.33655 | − | 0.738317i | −0.0490664 | − | 0.0271045i | ||||
\(743\) | −7.86347 | + | 5.71314i | −0.288483 | + | 0.209595i | −0.722609 | − | 0.691257i | \(-0.757057\pi\) |
0.434126 | + | 0.900852i | \(0.357057\pi\) | |||||||
\(744\) | −1.93811 | + | 2.15249i | −0.0710546 | + | 0.0789141i | ||||
\(745\) | 12.4488 | + | 13.8257i | 0.456087 | + | 0.506536i | ||||
\(746\) | 4.56401 | − | 2.03203i | 0.167100 | − | 0.0743978i | ||||
\(747\) | 4.49156 | + | 7.77961i | 0.164338 | + | 0.284641i | ||||
\(748\) | 2.20125 | + | 29.5126i | 0.0804858 | + | 1.07909i | ||||
\(749\) | 8.06520 | − | 11.5541i | 0.294696 | − | 0.422179i | ||||
\(750\) | −1.26296 | − | 0.917594i | −0.0461168 | − | 0.0335058i | ||||
\(751\) | −7.11640 | + | 1.51264i | −0.259681 | + | 0.0551969i | −0.335912 | − | 0.941893i | \(-0.609045\pi\) |
0.0762313 | + | 0.997090i | \(0.475711\pi\) | |||||||
\(752\) | −8.04877 | − | 1.71082i | −0.293509 | − | 0.0623872i | ||||
\(753\) | 0.753074 | + | 7.16502i | 0.0274436 | + | 0.261108i | ||||
\(754\) | −1.38655 | − | 0.617330i | −0.0504950 | − | 0.0224818i | ||||
\(755\) | −3.19581 | − | 9.83570i | −0.116308 | − | 0.357958i | ||||
\(756\) | −2.04179 | + | 4.82973i | −0.0742591 | + | 0.175655i | ||||
\(757\) | −6.11513 | − | 4.44290i | −0.222258 | − | 0.161480i | 0.471084 | − | 0.882088i | \(-0.343863\pi\) |
−0.693343 | + | 0.720608i | \(0.743863\pi\) | |||||||
\(758\) | 0.360664 | + | 0.624689i | 0.0130999 | + | 0.0226897i | ||||
\(759\) | 3.10326 | − | 22.8489i | 0.112641 | − | 0.829363i | ||||
\(760\) | 1.62399 | − | 2.81284i | 0.0589085 | − | 0.102032i | ||||
\(761\) | 1.36195 | − | 12.9581i | 0.0493708 | − | 0.469732i | −0.941706 | − | 0.336438i | \(-0.890778\pi\) |
0.991077 | − | 0.133294i | \(-0.0425555\pi\) | |||||||
\(762\) | −0.847206 | + | 2.60743i | −0.0306910 | + | 0.0944573i | ||||
\(763\) | −3.28012 | − | 14.1138i | −0.118748 | − | 0.510954i | ||||
\(764\) | 20.5316 | − | 14.9171i | 0.742807 | − | 0.539681i | ||||
\(765\) | 14.9399 | + | 6.65166i | 0.540152 | + | 0.240491i | ||||
\(766\) | 4.55654 | + | 0.968522i | 0.164634 | + | 0.0349941i | ||||
\(767\) | 11.8385 | + | 13.1480i | 0.427464 | + | 0.474747i | ||||
\(768\) | 1.52304 | − | 14.4908i | 0.0549581 | − | 0.522891i | ||||
\(769\) | −12.0289 | −0.433773 | −0.216887 | − | 0.976197i | \(-0.569590\pi\) | ||||
−0.216887 | + | 0.976197i | \(0.569590\pi\) | |||||||
\(770\) | −1.70010 | − | 3.93829i | −0.0612675 | − | 0.141926i | ||||
\(771\) | −6.02636 | −0.217034 | ||||||||
\(772\) | −1.58638 | + | 15.0934i | −0.0570952 | + | 0.543225i | ||||
\(773\) | 22.1140 | + | 24.5601i | 0.795386 | + | 0.883365i | 0.995339 | − | 0.0964402i | \(-0.0307456\pi\) |
−0.199953 | + | 0.979805i | \(0.564079\pi\) | |||||||
\(774\) | −1.68048 | − | 0.357197i | −0.0604036 | − | 0.0128392i | ||||
\(775\) | 40.4564 | + | 18.0124i | 1.45324 | + | 0.647023i | ||||
\(776\) | −3.33410 | + | 2.42237i | −0.119687 | + | 0.0869580i | ||||
\(777\) | −7.38138 | + | 6.90340i | −0.264805 | + | 0.247658i | ||||
\(778\) | 0.890817 | − | 2.74165i | 0.0319373 | − | 0.0982930i | ||||
\(779\) | −0.501121 | + | 4.76785i | −0.0179545 | + | 0.170826i | ||||
\(780\) | 6.37348 | − | 11.0392i | 0.228207 | − | 0.395266i | ||||
\(781\) | 19.6084 | − | 20.4944i | 0.701643 | − | 0.733346i | ||||
\(782\) | 2.10637 | + | 3.64834i | 0.0753236 | + | 0.130464i | ||||
\(783\) | −5.15258 | − | 3.74357i | −0.184138 | − | 0.133784i | ||||
\(784\) | 12.7189 | − | 24.0901i | 0.454247 | − | 0.860360i | ||||
\(785\) | −6.87368 | − | 21.1550i | −0.245332 | − | 0.755055i | ||||
\(786\) | −1.01938 | − | 0.453857i | −0.0363600 | − | 0.0161885i | ||||
\(787\) | 4.36095 | + | 41.4916i | 0.155451 | + | 1.47902i | 0.742707 | + | 0.669616i | \(0.233541\pi\) |
−0.587256 | + | 0.809401i | \(0.699792\pi\) | |||||||
\(788\) | −9.92535 | − | 2.10970i | −0.353576 | − | 0.0751549i | ||||
\(789\) | −6.50018 | + | 1.38166i | −0.231412 | + | 0.0491882i | ||||
\(790\) | 4.86366 | + | 3.53365i | 0.173041 | + | 0.125722i | ||||
\(791\) | −10.1135 | − | 21.6062i | −0.359595 | − | 0.768226i | ||||
\(792\) | −1.72654 | − | 0.421982i | −0.0613498 | − | 0.0149945i | ||||
\(793\) | −3.92669 | − | 6.80122i | −0.139441 | − | 0.241518i | ||||
\(794\) | −1.03149 | + | 0.459248i | −0.0366062 | + | 0.0162981i | ||||
\(795\) | 10.4224 | + | 11.5753i | 0.369645 | + | 0.410533i | ||||
\(796\) | 18.1805 | − | 20.1915i | 0.644389 | − | 0.715667i | ||||
\(797\) | −21.7513 | + | 15.8033i | −0.770472 | + | 0.559781i | −0.902104 | − | 0.431518i | \(-0.857978\pi\) |
0.131632 | + | 0.991299i | \(0.457978\pi\) | |||||||
\(798\) | −0.0112359 | − | 0.594042i | −0.000397748 | − | 0.0210289i | ||||
\(799\) | 2.94178 | + | 9.05388i | 0.104073 | + | 0.320303i | ||||
\(800\) | 12.7873 | − | 2.71802i | 0.452099 | − | 0.0960967i | ||||
\(801\) | 1.65871 | − | 0.738506i | 0.0586077 | − | 0.0260938i | ||||
\(802\) | 0.443844 | − | 0.768760i | 0.0156727 | − | 0.0271458i | ||||
\(803\) | −39.2610 | − | 1.18882i | −1.38549 | − | 0.0419526i | ||||
\(804\) | −14.6069 | −0.515145 | ||||||||
\(805\) | 50.4890 | + | 43.7602i | 1.77950 | + | 1.54235i | ||||
\(806\) | 0.398024 | − | 1.22499i | 0.0140198 | − | 0.0431485i | ||||
\(807\) | 13.2181 | − | 14.6801i | 0.465298 | − | 0.516766i | ||||
\(808\) | 0.361824 | + | 3.44252i | 0.0127289 | + | 0.121108i | ||||
\(809\) | −1.71522 | − | 16.3192i | −0.0603039 | − | 0.573753i | −0.982400 | − | 0.186791i | \(-0.940191\pi\) |
0.922096 | − | 0.386962i | \(-0.126475\pi\) | |||||||
\(810\) | −0.327099 | + | 0.363281i | −0.0114931 | + | 0.0127644i | ||||
\(811\) | 0.0521602 | − | 0.160532i | 0.00183159 | − | 0.00563706i | −0.950137 | − | 0.311834i | \(-0.899057\pi\) |
0.951968 | + | 0.306197i | \(0.0990567\pi\) | |||||||
\(812\) | 25.2362 | + | 21.8730i | 0.885618 | + | 0.767591i | ||||
\(813\) | −0.292165 | −0.0102467 | ||||||||
\(814\) | −1.34845 | − | 1.04350i | −0.0472632 | − | 0.0365745i | ||||
\(815\) | 28.8105 | − | 49.9012i | 1.00919 | − | 1.74796i | ||||
\(816\) | −16.0067 | + | 7.12664i | −0.560346 | + | 0.249482i | ||||
\(817\) | −20.8353 | + | 4.42869i | −0.728936 | + | 0.154940i | ||||
\(818\) | −0.290589 | − | 0.894342i | −0.0101602 | − | 0.0312699i | ||||
\(819\) | −0.0885954 | − | 4.68403i | −0.00309577 | − | 0.163673i | ||||
\(820\) | −16.7328 | + | 12.1571i | −0.584333 | + | 0.424543i | ||||
\(821\) | −21.5708 | + | 23.9568i | −0.752828 | + | 0.836100i | −0.990823 | − | 0.135167i | \(-0.956843\pi\) |
0.237995 | + | 0.971266i | \(0.423510\pi\) | |||||||
\(822\) | 0.139078 | + | 0.154462i | 0.00485091 | + | 0.00538748i | ||||
\(823\) | −4.28662 | + | 1.90853i | −0.149422 | + | 0.0665270i | −0.480085 | − | 0.877222i | \(-0.659394\pi\) |
0.330663 | + | 0.943749i | \(0.392728\pi\) | |||||||
\(824\) | 4.61022 | + | 7.98513i | 0.160605 | + | 0.278175i | ||||
\(825\) | 2.02126 | + | 27.0994i | 0.0703712 | + | 0.943480i | ||||
\(826\) | 1.50828 | + | 3.22223i | 0.0524796 | + | 0.112116i | ||||
\(827\) | 6.12827 | + | 4.45245i | 0.213101 | + | 0.154827i | 0.689216 | − | 0.724556i | \(-0.257955\pi\) |
−0.476115 | + | 0.879383i | \(0.657955\pi\) | |||||||
\(828\) | 13.4779 | − | 2.86481i | 0.468389 | − | 0.0995591i | ||||
\(829\) | −9.32423 | − | 1.98193i | −0.323844 | − | 0.0688351i | 0.0431213 | − | 0.999070i | \(-0.486270\pi\) |
−0.366965 | + | 0.930235i | \(0.619603\pi\) | |||||||
\(830\) | −0.459019 | − | 4.36728i | −0.0159328 | − | 0.151590i | ||||
\(831\) | 16.3147 | + | 7.26379i | 0.565952 | + | 0.251978i | ||||
\(832\) | 4.14137 | + | 12.7458i | 0.143576 | + | 0.441883i | ||||
\(833\) | −31.4938 | + | 1.19180i | −1.09119 | + | 0.0412933i | ||||
\(834\) | −1.22115 | − | 0.887220i | −0.0422851 | − | 0.0307219i | ||||
\(835\) | −17.8524 | − | 30.9213i | −0.617808 | − | 1.07008i | ||||
\(836\) | −10.7925 | + | 1.95465i | −0.373268 | + | 0.0676029i | ||||
\(837\) | 2.70246 | − | 4.68080i | 0.0934107 | − | 0.161792i | ||||
\(838\) | −0.257266 | + | 2.44772i | −0.00888711 | + | 0.0845552i | ||||
\(839\) | −5.00569 | + | 15.4059i | −0.172815 | + | 0.531871i | −0.999527 | − | 0.0307548i | \(-0.990209\pi\) |
0.826711 | + | 0.562626i | \(0.190209\pi\) | |||||||
\(840\) | 3.76134 | − | 3.51778i | 0.129779 | − | 0.121375i | ||||
\(841\) | −9.35492 | + | 6.79674i | −0.322583 | + | 0.234370i | ||||
\(842\) | −2.03463 | − | 0.905876i | −0.0701180 | − | 0.0312185i | ||||
\(843\) | 15.4903 | + | 3.29257i | 0.533515 | + | 0.113402i | ||||
\(844\) | 3.34005 | + | 3.70951i | 0.114969 | + | 0.127686i | ||||
\(845\) | 3.74535 | − | 35.6346i | 0.128844 | − | 1.22587i | ||||
\(846\) | −0.284564 | −0.00978352 | ||||||||
\(847\) | −12.9336 | + | 26.0715i | −0.444404 | + | 0.895827i | ||||
\(848\) | −16.6883 | −0.573079 | ||||||||
\(849\) | 1.64406 | − | 15.6422i | 0.0564242 | − | 0.536840i | ||||
\(850\) | −3.32204 | − | 3.68950i | −0.113945 | − | 0.126549i | ||||
\(851\) | 25.9774 | + | 5.52166i | 0.890493 | + | 0.189280i | ||||
\(852\) | 15.4838 | + | 6.89384i | 0.530467 | + | 0.236179i | ||||
\(853\) | 12.7711 | − | 9.27878i | 0.437276 | − | 0.317699i | −0.347276 | − | 0.937763i | \(-0.612893\pi\) |
0.784551 | + | 0.620064i | \(0.212893\pi\) | |||||||
\(854\) | −0.357495 | − | 1.53824i | −0.0122332 | − | 0.0526374i | ||||
\(855\) | −1.87292 | + | 5.76425i | −0.0640524 | + | 0.197133i | ||||
\(856\) | −0.298328 | + | 2.83840i | −0.0101966 | + | 0.0970145i | ||||
\(857\) | 4.29969 | − | 7.44729i | 0.146875 | − | 0.254395i | −0.783196 | − | 0.621775i | \(-0.786412\pi\) |
0.930071 | + | 0.367380i | \(0.119745\pi\) | |||||||
\(858\) | 0.777724 | − | 0.140854i | 0.0265511 | − | 0.00480868i | ||||
\(859\) | 0.209276 | + | 0.362477i | 0.00714040 | + | 0.0123675i | 0.869574 | − | 0.493803i | \(-0.164394\pi\) |
−0.862433 | + | 0.506171i | \(0.831060\pi\) | |||||||
\(860\) | −74.3457 | − | 54.0153i | −2.53517 | − | 1.84191i | ||||
\(861\) | −2.95994 | + | 7.00156i | −0.100874 | + | 0.238612i | ||||
\(862\) | 1.11872 | + | 3.44307i | 0.0381038 | + | 0.117271i | ||||
\(863\) | 5.03131 | + | 2.24008i | 0.171268 | + | 0.0762533i | 0.490580 | − | 0.871396i | \(-0.336785\pi\) |
−0.319312 | + | 0.947650i | \(0.603452\pi\) | |||||||
\(864\) | −0.166779 | − | 1.58680i | −0.00567393 | − | 0.0539839i | ||||
\(865\) | 36.0889 | + | 7.67093i | 1.22706 | + | 0.260819i | ||||
\(866\) | −3.49501 | + | 0.742887i | −0.118765 | + | 0.0252443i | ||||
\(867\) | 2.64626 | + | 1.92262i | 0.0898719 | + | 0.0652957i | ||||
\(868\) | −16.2219 | + | 23.2394i | −0.550608 | + | 0.788797i | ||||
\(869\) | −3.03382 | − | 40.6751i | −0.102915 | − | 1.37981i | ||||
\(870\) | 1.55670 | + | 2.69629i | 0.0527771 | + | 0.0914127i | ||||
\(871\) | 11.9222 | − | 5.30811i | 0.403969 | − | 0.179859i | ||||
\(872\) | 1.96384 | + | 2.18107i | 0.0665041 | + | 0.0738603i | ||||
\(873\) | 5.14581 | − | 5.71501i | 0.174159 | − | 0.193424i | ||||
\(874\) | −1.26311 | + | 0.917705i | −0.0427254 | + | 0.0310418i | ||||
\(875\) | −26.8634 | − | 14.8394i | −0.908149 | − | 0.501665i | ||||
\(876\) | −7.25312 | − | 22.3228i | −0.245060 | − | 0.754218i | ||||
\(877\) | 22.7636 | − | 4.83856i | 0.768673 | − | 0.163387i | 0.193147 | − | 0.981170i | \(-0.438131\pi\) |
0.575526 | + | 0.817783i | \(0.304797\pi\) | |||||||
\(878\) | 1.10581 | − | 0.492337i | 0.0373192 | − | 0.0166156i | ||||
\(879\) | −0.648578 | + | 1.12337i | −0.0218760 | + | 0.0378903i | ||||
\(880\) | −37.0773 | − | 28.6921i | −1.24987 | − | 0.967211i | ||||
\(881\) | −19.0335 | −0.641255 | −0.320628 | − | 0.947205i | \(-0.603894\pi\) | ||||
−0.320628 | + | 0.947205i | \(0.603894\pi\) | |||||||
\(882\) | 0.257029 | − | 0.906338i | 0.00865461 | − | 0.0305180i | ||||
\(883\) | 11.4738 | − | 35.3128i | 0.386124 | − | 1.18837i | −0.549537 | − | 0.835469i | \(-0.685196\pi\) |
0.935661 | − | 0.352899i | \(-0.114804\pi\) | |||||||
\(884\) | 10.5724 | − | 11.7419i | 0.355590 | − | 0.394922i | ||||
\(885\) | −3.79361 | − | 36.0937i | −0.127521 | − | 1.21328i | ||||
\(886\) | −0.229347 | − | 2.18209i | −0.00770506 | − | 0.0733087i | ||||
\(887\) | 8.09187 | − | 8.98693i | 0.271698 | − | 0.301752i | −0.591819 | − | 0.806071i | \(-0.701590\pi\) |
0.863517 | + | 0.504319i | \(0.168257\pi\) | |||||||
\(888\) | 0.632577 | − | 1.94687i | 0.0212279 | − | 0.0653327i | ||||
\(889\) | −10.2069 | + | 52.9219i | −0.342328 | + | 1.77494i | ||||
\(890\) | −0.887585 | −0.0297519 | ||||||||
\(891\) | 3.31511 | + | 0.100381i | 0.111060 | + | 0.00336290i | ||||
\(892\) | −13.2445 | + | 22.9401i | −0.443457 | + | 0.768090i | ||||
\(893\) | −3.22313 | + | 1.43503i | −0.107858 | + | 0.0480215i | ||||
\(894\) | −0.674263 | + | 0.143319i | −0.0225507 | + | 0.00479331i | ||||
\(895\) | 26.7830 | + | 82.4297i | 0.895258 | + | 2.75532i | ||||
\(896\) | 0.210626 | + | 11.1357i | 0.00703651 | + | 0.372019i | ||||
\(897\) | −9.95965 | + | 7.23611i | −0.332543 | + | 0.241607i | ||||
\(898\) | −0.0875335 | + | 0.0972158i | −0.00292103 | + | 0.00324413i | ||||
\(899\) | −23.0339 | − | 25.5817i | −0.768223 | − | 0.853198i | ||||
\(900\) | −14.8346 | + | 6.60481i | −0.494488 | + | 0.220160i | ||||
\(901\) | 9.65351 | + | 16.7204i | 0.321605 | + | 0.557037i | ||||
\(902\) | −1.24577 | − | 0.304478i | −0.0414796 | − | 0.0101380i | ||||
\(903\) | −33.6502 | − | 2.89455i | −1.11981 | − | 0.0963247i | ||||
\(904\) | 3.90917 | + | 2.84018i | 0.130017 | + | 0.0944629i | ||||
\(905\) | −18.5753 | + | 3.94831i | −0.617465 | + | 0.131246i | ||||
\(906\) | 0.374812 | + | 0.0796687i | 0.0124523 | + | 0.00264681i | ||||
\(907\) | −1.50354 | − | 14.3052i | −0.0499241 | − | 0.474996i | −0.990710 | − | 0.135994i | \(-0.956577\pi\) |
0.940786 | − | 0.339002i | \(-0.110089\pi\) | |||||||
\(908\) | −5.72598 | − | 2.54937i | −0.190023 | − | 0.0846039i | ||||
\(909\) | −1.99603 | − | 6.14314i | −0.0662041 | − | 0.203755i | ||||
\(910\) | −0.891761 | + | 2.10941i | −0.0295616 | + | 0.0699262i | ||||
\(911\) | −24.4642 | − | 17.7743i | −0.810536 | − | 0.588889i | 0.103450 | − | 0.994635i | \(-0.467012\pi\) |
−0.913986 | + | 0.405746i | \(0.867012\pi\) | |||||||
\(912\) | −3.24684 | − | 5.62369i | −0.107514 | − | 0.186219i | ||||
\(913\) | −20.5968 | + | 21.5275i | −0.681656 | + | 0.712455i | ||||
\(914\) | −0.176921 | + | 0.306436i | −0.00585203 | + | 0.0101360i | ||||
\(915\) | −1.68392 | + | 16.0215i | −0.0556688 | + | 0.529653i | ||||
\(916\) | −3.26713 | + | 10.0552i | −0.107949 | + | 0.332233i | ||||
\(917\) | −20.9872 | − | 6.38297i | −0.693059 | − | 0.210784i | ||||
\(918\) | −0.490212 | + | 0.356160i | −0.0161794 | + | 0.0117550i | ||||
\(919\) | −14.9745 | − | 6.66709i | −0.493964 | − | 0.219927i | 0.144608 | − | 0.989489i | \(-0.453808\pi\) |
−0.638572 | + | 0.769562i | \(0.720475\pi\) | |||||||
\(920\) | −13.2373 | − | 2.81368i | −0.436422 | − | 0.0927643i | ||||
\(921\) | −10.2353 | − | 11.3674i | −0.337264 | − | 0.374570i | ||||
\(922\) | 0.575380 | − | 5.47438i | 0.0189491 | − | 0.180289i | ||||
\(923\) | −15.1432 | −0.498444 | ||||||||
\(924\) | −17.2740 | − | 2.01419i | −0.568272 | − | 0.0662619i | ||||
\(925\) | −31.2983 | −1.02908 | ||||||||
\(926\) | −0.199180 | + | 1.89507i | −0.00654546 | + | 0.0622759i | ||||
\(927\) | −11.5129 | − | 12.7864i | −0.378133 | − | 0.419959i | ||||
\(928\) | −9.93980 | − | 2.11277i | −0.326290 | − | 0.0693551i | ||||
\(929\) | −42.3546 | − | 18.8575i | −1.38961 | − | 0.618694i | −0.430723 | − | 0.902484i | \(-0.641741\pi\) |
−0.958886 | + | 0.283790i | \(0.908408\pi\) | |||||||
\(930\) | −2.13755 | + | 1.55302i | −0.0700930 | + | 0.0509255i | ||||
\(931\) | −1.65933 | − | 11.5619i | −0.0543823 | − | 0.378925i | ||||
\(932\) | −11.9710 | + | 36.8429i | −0.392123 | + | 1.20683i | ||||
\(933\) | −2.76970 | + | 26.3520i | −0.0906760 | + | 0.862725i | ||||
\(934\) | −1.88372 | + | 3.26271i | −0.0616373 | + | 0.106759i | ||||
\(935\) | −7.29956 | + | 53.7457i | −0.238721 | + | 1.75767i | ||||
\(936\) | 0.474456 | + | 0.821783i | 0.0155081 | + | 0.0268608i | ||||
\(937\) | −14.1585 | − | 10.2868i | −0.462539 | − | 0.336054i | 0.331988 | − | 0.943284i | \(-0.392281\pi\) |
−0.794526 | + | 0.607230i | \(0.792281\pi\) | |||||||
\(938\) | 2.60429 | − | 0.323624i | 0.0850331 | − | 0.0105667i | ||||
\(939\) | −2.47618 | − | 7.62090i | −0.0808071 | − | 0.248699i | ||||
\(940\) | −13.9053 | − | 6.19103i | −0.453540 | − | 0.201929i | ||||
\(941\) | −0.218401 | − | 2.07794i | −0.00711966 | − | 0.0677391i | 0.990385 | − | 0.138337i | \(-0.0441758\pi\) |
−0.997505 | + | 0.0705983i | \(0.977509\pi\) | |||||||
\(942\) | 0.806160 | + | 0.171355i | 0.0262661 | + | 0.00558303i | ||||
\(943\) | 19.5386 | − | 4.15306i | 0.636265 | − | 0.135242i | ||||
\(944\) | 31.4579 | + | 22.8555i | 1.02387 | + | 0.743883i | ||||
\(945\) | −5.50065 | + | 7.88018i | −0.178936 | + | 0.256342i | ||||
\(946\) | −0.423821 | − | 5.68225i | −0.0137796 | − | 0.184746i | ||||
\(947\) | 6.45896 | + | 11.1873i | 0.209888 | + | 0.363537i | 0.951679 | − | 0.307094i | \(-0.0993567\pi\) |
−0.741791 | + | 0.670631i | \(0.766023\pi\) | |||||||
\(948\) | 22.2662 | − | 9.91354i | 0.723172 | − | 0.321977i | ||||
\(949\) | 14.0321 | + | 15.5842i | 0.455501 | + | 0.505885i | ||||
\(950\) | 1.23119 | − | 1.36737i | 0.0399451 | − | 0.0443635i | ||||
\(951\) | 9.50392 | − | 6.90500i | 0.308186 | − | 0.223910i | ||||
\(952\) | 5.46700 | − | 3.29577i | 0.177186 | − | 0.106816i | ||||
\(953\) | −8.07001 | − | 24.8369i | −0.261413 | − | 0.804547i | −0.992498 | − | 0.122260i | \(-0.960986\pi\) |
0.731085 | − | 0.682287i | \(-0.239014\pi\) | |||||||
\(954\) | −0.564510 | + | 0.119990i | −0.0182767 | + | 0.00388483i | ||||
\(955\) | 42.4909 | − | 18.9182i | 1.37497 | − | 0.612177i | ||||
\(956\) | −6.00379 | + | 10.3989i | −0.194177 | + | 0.336324i | ||||
\(957\) | 7.13252 | − | 19.8827i | 0.230562 | − | 0.642718i | ||||
\(958\) | −5.21583 | −0.168516 | ||||||||
\(959\) | 3.08772 | + | 2.67621i | 0.0997076 | + | 0.0864194i | ||||
\(960\) | 8.49525 | − | 26.1457i | 0.274183 | − | 0.843848i | ||||
\(961\) | −1.19562 | + | 1.32787i | −0.0385684 | + | 0.0428345i | ||||
\(962\) | 0.0951534 | + | 0.905324i | 0.00306787 | + | 0.0291888i | ||||
\(963\) | −0.556693 | − | 5.29658i | −0.0179392 | − | 0.170680i | ||||
\(964\) | 27.5379 | − | 30.5839i | 0.886935 | − | 0.985042i | ||||
\(965\) | −8.59522 | + | 26.4534i | −0.276690 | + | 0.851564i | ||||
\(966\) | −2.33953 | + | 0.809383i | −0.0752730 | + | 0.0260415i | ||||
\(967\) | −47.6778 | −1.53322 | −0.766608 | − | 0.642116i | \(-0.778057\pi\) | ||||
−0.766608 | + | 0.642116i | \(0.778057\pi\) | |||||||
\(968\) | −0.260338 | − | 5.88907i | −0.00836759 | − | 0.189282i | ||||
\(969\) | −3.75633 | + | 6.50616i | −0.120671 | + | 0.209008i | ||||
\(970\) | −3.43433 | + | 1.52906i | −0.110270 | + | 0.0490953i | ||||
\(971\) | 16.2665 | − | 3.45754i | 0.522015 | − | 0.110958i | 0.0606346 | − | 0.998160i | \(-0.480688\pi\) |
0.461381 | + | 0.887202i | \(0.347354\pi\) | |||||||
\(972\) | 0.612437 | + | 1.88489i | 0.0196439 | + | 0.0604578i | ||||
\(973\) | −25.9742 | − | 14.3482i | −0.832695 | − | 0.459983i | ||||
\(974\) | −0.166889 | + | 0.121252i | −0.00534746 | + | 0.00388516i | ||||
\(975\) | 9.70794 | − | 10.7818i | 0.310903 | − | 0.345293i | ||||
\(976\) | −11.5492 | − | 12.8267i | −0.369682 | − | 0.410573i | ||||
\(977\) | 51.4003 | − | 22.8849i | 1.64444 | − | 0.732152i | 0.644954 | − | 0.764221i | \(-0.276876\pi\) |
0.999486 | + | 0.0320696i | \(0.0102098\pi\) | |||||||
\(978\) | 1.06748 | + | 1.84893i | 0.0341343 | + | 0.0591223i | ||||
\(979\) | 3.89218 | + | 4.59509i | 0.124395 | + | 0.146860i | ||||
\(980\) | 32.2782 | − | 38.6964i | 1.03109 | − | 1.23611i | ||||
\(981\) | −4.43073 | − | 3.21911i | −0.141462 | − | 0.102778i | ||||
\(982\) | 0.813510 | − | 0.172917i | 0.0259601 | − | 0.00551800i | ||||
\(983\) | −16.1416 | − | 3.43099i | −0.514836 | − | 0.109432i | −0.0568351 | − | 0.998384i | \(-0.518101\pi\) |
−0.458001 | + | 0.888952i | \(0.651434\pi\) | |||||||
\(984\) | −0.160940 | − | 1.53124i | −0.00513058 | − | 0.0488142i | ||||
\(985\) | −16.9892 | − | 7.56406i | −0.541320 | − | 0.241011i | ||||
\(986\) | 1.19255 | + | 3.67028i | 0.0379784 | + | 0.116886i | ||||
\(987\) | −5.55153 | + | 0.689864i | −0.176707 | + | 0.0219586i | ||||
\(988\) | 4.73742 | + | 3.44193i | 0.150717 | + | 0.109503i | ||||
\(989\) | 44.3760 | + | 76.8614i | 1.41107 | + | 2.44405i | ||||
\(990\) | −1.46050 | − | 0.703971i | −0.0464177 | − | 0.0223737i | ||||
\(991\) | 10.8912 | − | 18.8641i | 0.345970 | − | 0.599237i | −0.639560 | − | 0.768741i | \(-0.720883\pi\) |
0.985529 | + | 0.169504i | \(0.0542167\pi\) | |||||||
\(992\) | 0.901427 | − | 8.57650i | 0.0286203 | − | 0.272304i | ||||
\(993\) | −3.11892 | + | 9.59904i | −0.0989759 | + | 0.304616i | ||||
\(994\) | −2.91338 | − | 0.886063i | −0.0924067 | − | 0.0281042i | ||||
\(995\) | 40.2858 | − | 29.2694i | 1.27715 | − | 0.927901i | ||||
\(996\) | −16.2643 | − | 7.24135i | −0.515355 | − | 0.229451i | ||||
\(997\) | 42.9111 | + | 9.12105i | 1.35901 | + | 0.288866i | 0.829059 | − | 0.559162i | \(-0.188877\pi\) |
0.529951 | + | 0.848028i | \(0.322210\pi\) | |||||||
\(998\) | 1.31634 | + | 1.46194i | 0.0416679 | + | 0.0462769i | ||||
\(999\) | −0.399289 | + | 3.79898i | −0.0126329 | + | 0.120194i |
(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 | 231.2.y.a.4.5 | ✓ | 64 | |
3.2 | odd | 2 | 693.2.by.d.235.4 | 64 | |||
7.2 | even | 3 | inner | 231.2.y.a.37.4 | yes | 64 | |
11.3 | even | 5 | inner | 231.2.y.a.25.4 | yes | 64 | |
21.2 | odd | 6 | 693.2.by.d.37.5 | 64 | |||
33.14 | odd | 10 | 693.2.by.d.487.5 | 64 | |||
77.58 | even | 15 | inner | 231.2.y.a.58.5 | yes | 64 | |
231.212 | odd | 30 | 693.2.by.d.289.4 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.y.a.4.5 | ✓ | 64 | 1.1 | even | 1 | trivial | |
231.2.y.a.25.4 | yes | 64 | 11.3 | even | 5 | inner | |
231.2.y.a.37.4 | yes | 64 | 7.2 | even | 3 | inner | |
231.2.y.a.58.5 | yes | 64 | 77.58 | even | 15 | inner | |
693.2.by.d.37.5 | 64 | 21.2 | odd | 6 | |||
693.2.by.d.235.4 | 64 | 3.2 | odd | 2 | |||
693.2.by.d.289.4 | 64 | 231.212 | odd | 30 | |||
693.2.by.d.487.5 | 64 | 33.14 | odd | 10 |