Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(23,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 27, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.bj (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 327.46 | ||
Character | \(\chi\) | \(=\) | 380.327 |
Dual form | 380.2.bj.a.43.46 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.09496 | − | 0.895026i | 0.774251 | − | 0.632879i | ||||
\(3\) | 0.235285 | − | 0.336022i | 0.135842 | − | 0.194002i | −0.745467 | − | 0.666542i | \(-0.767774\pi\) |
0.881309 | + | 0.472540i | \(0.156663\pi\) | |||||||
\(4\) | 0.397856 | − | 1.96003i | 0.198928 | − | 0.980014i | ||||
\(5\) | 2.06687 | − | 0.853251i | 0.924334 | − | 0.381585i | ||||
\(6\) | −0.0431218 | − | 0.578516i | −0.0176044 | − | 0.236178i | ||||
\(7\) | −0.371598 | − | 1.38682i | −0.140451 | − | 0.524170i | −0.999916 | − | 0.0129754i | \(-0.995870\pi\) |
0.859465 | − | 0.511195i | \(-0.170797\pi\) | |||||||
\(8\) | −1.31864 | − | 2.50224i | −0.466211 | − | 0.884674i | ||||
\(9\) | 0.968509 | + | 2.66096i | 0.322836 | + | 0.886985i | ||||
\(10\) | 1.49945 | − | 2.78418i | 0.474168 | − | 0.880434i | ||||
\(11\) | −1.39727 | + | 0.806716i | −0.421294 | + | 0.243234i | −0.695631 | − | 0.718400i | \(-0.744875\pi\) |
0.274337 | + | 0.961634i | \(0.411542\pi\) | |||||||
\(12\) | −0.565003 | − | 0.594854i | −0.163102 | − | 0.171720i | ||||
\(13\) | −1.24316 | − | 1.77542i | −0.344790 | − | 0.492412i | 0.608881 | − | 0.793261i | \(-0.291619\pi\) |
−0.953672 | + | 0.300850i | \(0.902730\pi\) | |||||||
\(14\) | −1.64813 | − | 1.18592i | −0.440481 | − | 0.316951i | ||||
\(15\) | 0.199593 | − | 0.895272i | 0.0515348 | − | 0.231158i | ||||
\(16\) | −3.68342 | − | 1.55962i | −0.920855 | − | 0.389904i | ||||
\(17\) | 1.48460 | + | 3.18374i | 0.360069 | + | 0.772170i | 0.999993 | + | 0.00373178i | \(0.00118787\pi\) |
−0.639924 | + | 0.768438i | \(0.721034\pi\) | |||||||
\(18\) | 3.44210 | + | 2.04679i | 0.811311 | + | 0.482432i | ||||
\(19\) | 0.135064 | + | 4.35681i | 0.0309859 | + | 0.999520i | ||||
\(20\) | −0.850079 | − | 4.39060i | −0.190083 | − | 0.981768i | ||||
\(21\) | −0.553435 | − | 0.201434i | −0.120769 | − | 0.0439565i | ||||
\(22\) | −0.807920 | + | 2.13391i | −0.172249 | + | 0.454952i | ||||
\(23\) | −0.283597 | − | 3.24152i | −0.0591340 | − | 0.675905i | −0.966686 | − | 0.255965i | \(-0.917607\pi\) |
0.907552 | − | 0.419940i | \(-0.137949\pi\) | |||||||
\(24\) | −1.15106 | − | 0.145646i | −0.234960 | − | 0.0297299i | ||||
\(25\) | 3.54393 | − | 3.52712i | 0.708785 | − | 0.705424i | ||||
\(26\) | −2.95025 | − | 0.831341i | −0.578591 | − | 0.163039i | ||||
\(27\) | 2.31071 | + | 0.619152i | 0.444695 | + | 0.119156i | ||||
\(28\) | −2.86606 | + | 0.176587i | −0.541634 | + | 0.0333719i | ||||
\(29\) | 0.834461 | + | 2.29266i | 0.154956 | + | 0.425737i | 0.992742 | − | 0.120261i | \(-0.0383730\pi\) |
−0.837787 | + | 0.545998i | \(0.816151\pi\) | |||||||
\(30\) | −0.582746 | − | 1.15892i | −0.106394 | − | 0.211590i | ||||
\(31\) | −5.96207 | − | 3.44220i | −1.07082 | − | 0.618238i | −0.142414 | − | 0.989807i | \(-0.545486\pi\) |
−0.928405 | + | 0.371569i | \(0.878820\pi\) | |||||||
\(32\) | −5.42908 | + | 1.58905i | −0.959735 | + | 0.280907i | ||||
\(33\) | −0.0576833 | + | 0.659323i | −0.0100414 | + | 0.114773i | ||||
\(34\) | 4.47510 | + | 2.15729i | 0.767473 | + | 0.369973i | ||||
\(35\) | −1.95136 | − | 2.54932i | −0.329839 | − | 0.430914i | ||||
\(36\) | 5.60088 | − | 0.839628i | 0.933479 | − | 0.139938i | ||||
\(37\) | 2.32134 | + | 2.32134i | 0.381626 | + | 0.381626i | 0.871688 | − | 0.490062i | \(-0.163026\pi\) |
−0.490062 | + | 0.871688i | \(0.663026\pi\) | |||||||
\(38\) | 4.04735 | + | 4.64962i | 0.656566 | + | 0.754268i | ||||
\(39\) | −0.889076 | −0.142366 | ||||||||
\(40\) | −4.86050 | − | 4.04667i | −0.768513 | − | 0.639835i | ||||
\(41\) | 0.909979 | + | 5.16075i | 0.142115 | + | 0.805973i | 0.969639 | + | 0.244542i | \(0.0786377\pi\) |
−0.827524 | + | 0.561431i | \(0.810251\pi\) | |||||||
\(42\) | −0.786276 | + | 0.274778i | −0.121325 | + | 0.0423992i | ||||
\(43\) | 1.51832 | + | 0.132836i | 0.231541 | + | 0.0202572i | 0.202336 | − | 0.979316i | \(-0.435147\pi\) |
0.0292055 | + | 0.999573i | \(0.490702\pi\) | |||||||
\(44\) | 1.02527 | + | 3.05965i | 0.154566 | + | 0.461260i | ||||
\(45\) | 4.27225 | + | 4.67348i | 0.636869 | + | 0.696681i | ||||
\(46\) | −3.21178 | − | 3.29550i | −0.473550 | − | 0.485895i | ||||
\(47\) | −0.338802 | + | 0.726562i | −0.0494193 | + | 0.105980i | −0.929467 | − | 0.368905i | \(-0.879733\pi\) |
0.880048 | + | 0.474885i | \(0.157510\pi\) | |||||||
\(48\) | −1.39072 | + | 0.870756i | −0.200733 | + | 0.125683i | ||||
\(49\) | 4.27698 | − | 2.46932i | 0.610997 | − | 0.352759i | ||||
\(50\) | 0.723574 | − | 7.03395i | 0.102329 | − | 0.994751i | ||||
\(51\) | 1.41911 | + | 0.250228i | 0.198715 | + | 0.0350389i | ||||
\(52\) | −3.97446 | + | 1.73027i | −0.551159 | + | 0.239945i | ||||
\(53\) | −1.43407 | + | 0.125465i | −0.196985 | + | 0.0172339i | −0.185221 | − | 0.982697i | \(-0.559300\pi\) |
−0.0117637 | + | 0.999931i | \(0.503745\pi\) | |||||||
\(54\) | 3.08428 | − | 1.39020i | 0.419717 | − | 0.189182i | ||||
\(55\) | −2.19965 | + | 2.85960i | −0.296601 | + | 0.385589i | ||||
\(56\) | −2.98016 | + | 2.75855i | −0.398240 | + | 0.368627i | ||||
\(57\) | 1.49576 | + | 0.979708i | 0.198119 | + | 0.129765i | ||||
\(58\) | 2.96569 | + | 1.76350i | 0.389414 | + | 0.231559i | ||||
\(59\) | 0.719010 | + | 0.261698i | 0.0936071 | + | 0.0340702i | 0.388399 | − | 0.921491i | \(-0.373028\pi\) |
−0.294792 | + | 0.955561i | \(0.595250\pi\) | |||||||
\(60\) | −1.67535 | − | 0.747398i | −0.216287 | − | 0.0964887i | ||||
\(61\) | 0.724227 | + | 0.607699i | 0.0927277 | + | 0.0778078i | 0.687973 | − | 0.725736i | \(-0.258501\pi\) |
−0.595245 | + | 0.803544i | \(0.702945\pi\) | |||||||
\(62\) | −9.60906 | + | 1.56715i | −1.22035 | + | 0.199028i | ||||
\(63\) | 3.33038 | − | 2.33196i | 0.419589 | − | 0.293799i | ||||
\(64\) | −4.52236 | + | 6.59911i | −0.565295 | + | 0.824889i | ||||
\(65\) | −4.08433 | − | 2.60883i | −0.506598 | − | 0.323586i | ||||
\(66\) | 0.526951 | + | 0.773557i | 0.0648632 | + | 0.0952183i | ||||
\(67\) | −6.15398 | + | 13.1973i | −0.751828 | + | 1.61230i | 0.0382301 | + | 0.999269i | \(0.487828\pi\) |
−0.790058 | + | 0.613032i | \(0.789950\pi\) | |||||||
\(68\) | 6.83087 | − | 1.64319i | 0.828365 | − | 0.199266i | ||||
\(69\) | −1.15595 | − | 0.667388i | −0.139160 | − | 0.0803441i | ||||
\(70\) | −4.41836 | − | 1.04488i | −0.528095 | − | 0.124887i | ||||
\(71\) | 1.97078 | + | 2.34868i | 0.233889 | + | 0.278738i | 0.870204 | − | 0.492691i | \(-0.163987\pi\) |
−0.636316 | + | 0.771429i | \(0.719542\pi\) | |||||||
\(72\) | 5.38122 | − | 5.93229i | 0.634183 | − | 0.699127i | ||||
\(73\) | 0.596943 | + | 0.417984i | 0.0698669 | + | 0.0489213i | 0.607988 | − | 0.793946i | \(-0.291977\pi\) |
−0.538121 | + | 0.842867i | \(0.680866\pi\) | |||||||
\(74\) | 4.61943 | + | 0.464104i | 0.536998 | + | 0.0539510i | ||||
\(75\) | −0.351358 | − | 2.02072i | −0.0405713 | − | 0.233332i | ||||
\(76\) | 8.59320 | + | 1.46865i | 0.985708 | + | 0.168466i | ||||
\(77\) | 1.63800 | + | 1.63800i | 0.186667 | + | 0.186667i | ||||
\(78\) | −0.973499 | + | 0.795746i | −0.110227 | + | 0.0901005i | ||||
\(79\) | 1.90246 | + | 10.7894i | 0.214044 | + | 1.21390i | 0.882558 | + | 0.470203i | \(0.155819\pi\) |
−0.668514 | + | 0.743699i | \(0.733069\pi\) | |||||||
\(80\) | −8.94391 | − | 0.0806463i | −0.999959 | − | 0.00901653i | ||||
\(81\) | −5.75597 | + | 4.82983i | −0.639552 | + | 0.536648i | ||||
\(82\) | 5.61539 | + | 4.83633i | 0.620116 | + | 0.534084i | ||||
\(83\) | 12.3265 | − | 3.30287i | 1.35301 | − | 0.362537i | 0.491763 | − | 0.870729i | \(-0.336353\pi\) |
0.861244 | + | 0.508192i | \(0.169686\pi\) | |||||||
\(84\) | −0.615004 | + | 1.00461i | −0.0671024 | + | 0.109612i | ||||
\(85\) | 5.78501 | + | 5.31364i | 0.627472 | + | 0.576345i | ||||
\(86\) | 1.78138 | − | 1.21349i | 0.192091 | − | 0.130854i | ||||
\(87\) | 0.966722 | + | 0.259032i | 0.103644 | + | 0.0277712i | ||||
\(88\) | 3.86110 | + | 2.43254i | 0.411594 | + | 0.259309i | ||||
\(89\) | −17.2986 | − | 3.05022i | −1.83365 | − | 0.323323i | −0.853428 | − | 0.521210i | \(-0.825481\pi\) |
−0.980225 | + | 0.197887i | \(0.936592\pi\) | |||||||
\(90\) | 8.86081 | + | 1.29347i | 0.934011 | + | 0.136344i | ||||
\(91\) | −2.00023 | + | 2.38379i | −0.209681 | + | 0.249889i | ||||
\(92\) | −6.46631 | − | 0.733802i | −0.674159 | − | 0.0765041i | ||||
\(93\) | −2.55944 | + | 1.19349i | −0.265402 | + | 0.123759i | ||||
\(94\) | 0.279320 | + | 1.09879i | 0.0288096 | + | 0.113332i | ||||
\(95\) | 3.99661 | + | 8.88972i | 0.410043 | + | 0.912066i | ||||
\(96\) | −0.743428 | + | 2.19817i | −0.0758758 | + | 0.224350i | ||||
\(97\) | −0.691299 | − | 1.48250i | −0.0701908 | − | 0.150525i | 0.868082 | − | 0.496421i | \(-0.165353\pi\) |
−0.938273 | + | 0.345896i | \(0.887575\pi\) | |||||||
\(98\) | 2.47300 | − | 6.53180i | 0.249811 | − | 0.659812i | ||||
\(99\) | −3.49991 | − | 2.93677i | −0.351754 | − | 0.295156i | ||||
\(100\) | −5.50329 | − | 8.34948i | −0.550329 | − | 0.834948i | ||||
\(101\) | −0.382754 | + | 2.17071i | −0.0380854 | + | 0.215993i | −0.997911 | − | 0.0646042i | \(-0.979421\pi\) |
0.959826 | + | 0.280598i | \(0.0905326\pi\) | |||||||
\(102\) | 1.77782 | − | 0.996154i | 0.176031 | − | 0.0986339i | ||||
\(103\) | 3.09641 | − | 11.5559i | 0.305098 | − | 1.13864i | −0.627763 | − | 0.778404i | \(-0.716029\pi\) |
0.932861 | − | 0.360236i | \(-0.117304\pi\) | |||||||
\(104\) | −2.80322 | + | 5.45182i | −0.274879 | + | 0.534594i | ||||
\(105\) | −1.31575 | + | 0.0558809i | −0.128404 | + | 0.00545341i | ||||
\(106\) | −1.45795 | + | 1.42091i | −0.141609 | + | 0.138011i | ||||
\(107\) | −2.25334 | − | 8.40956i | −0.217838 | − | 0.812983i | −0.985148 | − | 0.171707i | \(-0.945072\pi\) |
0.767310 | − | 0.641276i | \(-0.221595\pi\) | |||||||
\(108\) | 2.13288 | − | 4.28272i | 0.205237 | − | 0.412104i | ||||
\(109\) | −10.5856 | − | 12.6155i | −1.01392 | − | 1.20834i | −0.977918 | − | 0.208990i | \(-0.932982\pi\) |
−0.0360013 | − | 0.999352i | \(-0.511462\pi\) | |||||||
\(110\) | 0.150897 | + | 5.09989i | 0.0143875 | + | 0.486255i | ||||
\(111\) | 1.32620 | − | 0.233845i | 0.125877 | − | 0.0221956i | ||||
\(112\) | −0.794161 | + | 5.68781i | −0.0750412 | + | 0.537448i | ||||
\(113\) | 8.91841 | − | 8.91841i | 0.838974 | − | 0.838974i | −0.149750 | − | 0.988724i | \(-0.547847\pi\) |
0.988724 | + | 0.149750i | \(0.0478469\pi\) | |||||||
\(114\) | 2.51466 | − | 0.266010i | 0.235519 | − | 0.0249141i | ||||
\(115\) | −3.35199 | − | 6.45784i | −0.312575 | − | 0.602197i | ||||
\(116\) | 4.82568 | − | 0.723418i | 0.448053 | − | 0.0671677i | ||||
\(117\) | 3.52029 | − | 5.02750i | 0.325451 | − | 0.464792i | ||||
\(118\) | 1.02151 | − | 0.356985i | 0.0940377 | − | 0.0328631i | ||||
\(119\) | 3.86361 | − | 3.24195i | 0.354176 | − | 0.297189i | ||||
\(120\) | −2.50337 | + | 0.681115i | −0.228526 | + | 0.0621770i | ||||
\(121\) | −4.19842 | + | 7.27188i | −0.381674 | + | 0.661080i | ||||
\(122\) | 1.33690 | + | 0.0172008i | 0.121037 | + | 0.00155729i | ||||
\(123\) | 1.94823 | + | 0.908474i | 0.175666 | + | 0.0819144i | ||||
\(124\) | −9.11886 | + | 10.3163i | −0.818898 | + | 0.926433i | ||||
\(125\) | 4.31532 | − | 10.3140i | 0.385974 | − | 0.922510i | ||||
\(126\) | 1.55946 | − | 5.53417i | 0.138927 | − | 0.493023i | ||||
\(127\) | 6.54726 | + | 9.35046i | 0.580975 | + | 0.829719i | 0.996817 | − | 0.0797180i | \(-0.0254020\pi\) |
−0.415842 | + | 0.909437i | \(0.636513\pi\) | |||||||
\(128\) | 0.954588 | + | 11.2734i | 0.0843744 | + | 0.996434i | ||||
\(129\) | 0.401874 | − | 0.478934i | 0.0353830 | − | 0.0421678i | ||||
\(130\) | −6.80713 | + | 0.799026i | −0.597025 | + | 0.0700792i | ||||
\(131\) | −2.15852 | + | 5.93049i | −0.188591 | + | 0.518149i | −0.997569 | − | 0.0696901i | \(-0.977799\pi\) |
0.808978 | + | 0.587839i | \(0.200021\pi\) | |||||||
\(132\) | 1.26934 | + | 0.375376i | 0.110482 | + | 0.0326723i | ||||
\(133\) | 5.99193 | − | 1.80629i | 0.519567 | − | 0.156625i | ||||
\(134\) | 5.07355 | + | 19.9584i | 0.438288 | + | 1.72414i | ||||
\(135\) | 5.30423 | − | 0.691904i | 0.456515 | − | 0.0595496i | ||||
\(136\) | 6.00880 | − | 7.91303i | 0.515250 | − | 0.678537i | ||||
\(137\) | −1.36009 | − | 15.5458i | −0.116200 | − | 1.32817i | −0.800659 | − | 0.599120i | \(-0.795517\pi\) |
0.684459 | − | 0.729051i | \(-0.260038\pi\) | |||||||
\(138\) | −1.86304 | + | 0.303845i | −0.158593 | + | 0.0258650i | ||||
\(139\) | −0.562759 | + | 3.19157i | −0.0477326 | + | 0.270705i | −0.999328 | − | 0.0366477i | \(-0.988332\pi\) |
0.951596 | + | 0.307353i | \(0.0994432\pi\) | |||||||
\(140\) | −5.77310 | + | 2.81045i | −0.487916 | + | 0.237526i | ||||
\(141\) | 0.164426 | + | 0.284794i | 0.0138472 | + | 0.0239840i | ||||
\(142\) | 4.26005 | + | 0.807805i | 0.357496 | + | 0.0677895i | ||||
\(143\) | 3.16929 | + | 1.47786i | 0.265029 | + | 0.123585i | ||||
\(144\) | 0.582646 | − | 11.3119i | 0.0485538 | − | 0.942660i | ||||
\(145\) | 3.68094 | + | 4.02664i | 0.305686 | + | 0.334394i | ||||
\(146\) | 1.02773 | − | 0.0766057i | 0.0850557 | − | 0.00633994i | ||||
\(147\) | 0.176566 | − | 2.01815i | 0.0145629 | − | 0.166455i | ||||
\(148\) | 5.47346 | − | 3.62634i | 0.449915 | − | 0.298083i | ||||
\(149\) | −8.95006 | + | 1.57814i | −0.733218 | + | 0.129286i | −0.527776 | − | 0.849383i | \(-0.676974\pi\) |
−0.205441 | + | 0.978669i | \(0.565863\pi\) | |||||||
\(150\) | −2.19332 | − | 1.89812i | −0.179084 | − | 0.154981i | ||||
\(151\) | − | 17.5950i | − | 1.43186i | −0.698174 | − | 0.715928i | \(-0.746004\pi\) | ||
0.698174 | − | 0.715928i | \(-0.253996\pi\) | |||||||
\(152\) | 10.7237 | − | 6.08303i | 0.869803 | − | 0.493399i | ||||
\(153\) | −7.03393 | + | 7.03393i | −0.568660 | + | 0.568660i | ||||
\(154\) | 3.25959 | + | 0.327484i | 0.262665 | + | 0.0263894i | ||||
\(155\) | −15.2599 | − | 2.02745i | −1.22570 | − | 0.162849i | ||||
\(156\) | −0.353724 | + | 1.74261i | −0.0283206 | + | 0.139521i | ||||
\(157\) | −19.9144 | − | 1.74229i | −1.58935 | − | 0.139050i | −0.742114 | − | 0.670274i | \(-0.766177\pi\) |
−0.847231 | + | 0.531224i | \(0.821732\pi\) | |||||||
\(158\) | 11.7399 | + | 10.1112i | 0.933977 | + | 0.804401i | ||||
\(159\) | −0.295257 | + | 0.511400i | −0.0234154 | + | 0.0405566i | ||||
\(160\) | −9.86536 | + | 7.91673i | −0.779925 | + | 0.625872i | ||||
\(161\) | −4.39004 | + | 1.59784i | −0.345984 | + | 0.125928i | ||||
\(162\) | −1.97970 | + | 10.4402i | −0.155540 | + | 0.820259i | ||||
\(163\) | −5.86459 | + | 21.8870i | −0.459350 | + | 1.71432i | 0.215623 | + | 0.976477i | \(0.430822\pi\) |
−0.674973 | + | 0.737842i | \(0.735845\pi\) | |||||||
\(164\) | 10.4772 | + | 0.269648i | 0.818136 | + | 0.0210560i | ||||
\(165\) | 0.443344 | + | 1.41195i | 0.0345143 | + | 0.109921i | ||||
\(166\) | 10.5408 | − | 14.6490i | 0.818124 | − | 1.13698i | ||||
\(167\) | 9.85429 | − | 0.862139i | 0.762548 | − | 0.0667143i | 0.300754 | − | 0.953702i | \(-0.402762\pi\) |
0.461794 | + | 0.886987i | \(0.347206\pi\) | |||||||
\(168\) | 0.225748 | + | 1.65044i | 0.0174168 | + | 0.127335i | ||||
\(169\) | 2.83961 | − | 7.80176i | 0.218431 | − | 0.600135i | ||||
\(170\) | 11.0902 | + | 0.640467i | 0.850578 | + | 0.0491216i | ||||
\(171\) | −11.4625 | + | 4.57900i | −0.876556 | + | 0.350165i | ||||
\(172\) | 0.864433 | − | 2.92310i | 0.0659124 | − | 0.222884i | ||||
\(173\) | 10.7685 | − | 5.02145i | 0.818717 | − | 0.381774i | 0.0323065 | − | 0.999478i | \(-0.489715\pi\) |
0.786411 | + | 0.617704i | \(0.211937\pi\) | |||||||
\(174\) | 1.29036 | − | 0.581613i | 0.0978218 | − | 0.0440920i | ||||
\(175\) | −6.20842 | − | 3.60413i | −0.469312 | − | 0.272447i | ||||
\(176\) | 6.40491 | − | 0.792264i | 0.482788 | − | 0.0597192i | ||||
\(177\) | 0.257109 | − | 0.180030i | 0.0193255 | − | 0.0135318i | ||||
\(178\) | −21.6713 | + | 12.1429i | −1.62433 | + | 0.910148i | ||||
\(179\) | −8.38118 | − | 14.5166i | −0.626439 | − | 1.08502i | −0.988261 | − | 0.152776i | \(-0.951179\pi\) |
0.361822 | − | 0.932247i | \(-0.382155\pi\) | |||||||
\(180\) | 10.8599 | − | 6.51436i | 0.809448 | − | 0.485551i | ||||
\(181\) | −21.5464 | + | 7.84226i | −1.60153 | + | 0.582910i | −0.979741 | − | 0.200271i | \(-0.935818\pi\) |
−0.621793 | + | 0.783182i | \(0.713595\pi\) | |||||||
\(182\) | −0.0566162 | + | 4.40040i | −0.00419667 | + | 0.326179i | ||||
\(183\) | 0.374600 | − | 0.100374i | 0.0276912 | − | 0.00741984i | ||||
\(184\) | −7.73709 | + | 4.98404i | −0.570386 | + | 0.367428i | ||||
\(185\) | 6.77861 | + | 2.81723i | 0.498373 | + | 0.207127i | ||||
\(186\) | −1.73427 | + | 3.59759i | −0.127163 | + | 0.263788i | ||||
\(187\) | −4.64276 | − | 3.25090i | −0.339512 | − | 0.237729i | ||||
\(188\) | 1.28929 | + | 0.953128i | 0.0940310 | + | 0.0695140i | ||||
\(189\) | − | 3.43462i | − | 0.249832i | ||||||
\(190\) | 12.3326 | + | 6.15678i | 0.894704 | + | 0.446660i | ||||
\(191\) | − | 21.9821i | − | 1.59057i | −0.606236 | − | 0.795285i | \(-0.707321\pi\) | ||
0.606236 | − | 0.795285i | \(-0.292679\pi\) | |||||||
\(192\) | 1.15340 | + | 3.07229i | 0.0832396 | + | 0.221723i | ||||
\(193\) | −19.4924 | − | 13.6487i | −1.40309 | − | 0.982455i | −0.997663 | − | 0.0683286i | \(-0.978233\pi\) |
−0.405429 | − | 0.914127i | \(-0.632878\pi\) | |||||||
\(194\) | −2.08381 | − | 1.00454i | −0.149609 | − | 0.0721215i | ||||
\(195\) | −1.83761 | + | 0.758605i | −0.131594 | + | 0.0543248i | ||||
\(196\) | −3.13831 | − | 9.36544i | −0.224165 | − | 0.668960i | ||||
\(197\) | 10.7798 | − | 2.88843i | 0.768027 | − | 0.205792i | 0.146527 | − | 0.989207i | \(-0.453190\pi\) |
0.621500 | + | 0.783414i | \(0.286524\pi\) | |||||||
\(198\) | −6.46073 | − | 0.0831247i | −0.459144 | − | 0.00590741i | ||||
\(199\) | 9.94967 | − | 3.62138i | 0.705313 | − | 0.256713i | 0.0356354 | − | 0.999365i | \(-0.488654\pi\) |
0.669678 | + | 0.742652i | \(0.266432\pi\) | |||||||
\(200\) | −13.4989 | − | 4.21672i | −0.954514 | − | 0.298167i | ||||
\(201\) | 2.98663 | + | 5.17299i | 0.210661 | + | 0.364875i | ||||
\(202\) | 1.52374 | + | 2.71940i | 0.107210 | + | 0.191336i | ||||
\(203\) | 2.86944 | − | 2.00920i | 0.201395 | − | 0.141018i | ||||
\(204\) | 1.05505 | − | 2.68194i | 0.0738686 | − | 0.187774i | ||||
\(205\) | 6.28422 | + | 9.89016i | 0.438909 | + | 0.690759i | ||||
\(206\) | −6.95245 | − | 15.4246i | −0.484400 | − | 1.07468i | ||||
\(207\) | 8.35089 | − | 3.89408i | 0.580427 | − | 0.270657i | ||||
\(208\) | 1.81011 | + | 8.47846i | 0.125509 | + | 0.587875i | ||||
\(209\) | −3.70343 | − | 5.97869i | −0.256171 | − | 0.413554i | ||||
\(210\) | −1.39068 | + | 1.23882i | −0.0959659 | + | 0.0854868i | ||||
\(211\) | 2.36724 | − | 6.50393i | 0.162967 | − | 0.447749i | −0.831151 | − | 0.556046i | \(-0.812318\pi\) |
0.994119 | + | 0.108297i | \(0.0345399\pi\) | |||||||
\(212\) | −0.324638 | + | 2.86074i | −0.0222963 | + | 0.196476i | ||||
\(213\) | 1.25291 | − | 0.109615i | 0.0858477 | − | 0.00751070i | ||||
\(214\) | −9.99408 | − | 7.19130i | −0.683182 | − | 0.491587i | ||||
\(215\) | 3.25151 | − | 1.02095i | 0.221751 | − | 0.0696284i | ||||
\(216\) | −1.49773 | − | 6.59837i | −0.101908 | − | 0.448962i | ||||
\(217\) | −2.55823 | + | 9.54746i | −0.173664 | + | 0.648124i | ||||
\(218\) | −22.8820 | − | 4.33895i | −1.54976 | − | 0.293871i | ||||
\(219\) | 0.280904 | − | 0.102241i | 0.0189817 | − | 0.00690878i | ||||
\(220\) | 4.72976 | + | 5.44909i | 0.318880 | + | 0.367378i | ||||
\(221\) | 3.80686 | − | 6.59368i | 0.256077 | − | 0.443539i | ||||
\(222\) | 1.24283 | − | 1.44303i | 0.0834135 | − | 0.0968501i | ||||
\(223\) | −27.3785 | − | 2.39531i | −1.83340 | − | 0.160402i | −0.882584 | − | 0.470155i | \(-0.844198\pi\) |
−0.950817 | + | 0.309753i | \(0.899754\pi\) | |||||||
\(224\) | 4.22117 | + | 6.93869i | 0.282039 | + | 0.463611i | ||||
\(225\) | 12.8178 | + | 6.01418i | 0.854523 | + | 0.400945i | ||||
\(226\) | 1.78305 | − | 17.7475i | 0.118607 | − | 1.18055i | ||||
\(227\) | −1.38313 | + | 1.38313i | −0.0918017 | + | 0.0918017i | −0.751516 | − | 0.659715i | \(-0.770677\pi\) |
0.659715 | + | 0.751516i | \(0.270677\pi\) | |||||||
\(228\) | 2.51535 | − | 2.54195i | 0.166583 | − | 0.168345i | ||||
\(229\) | 15.1394i | 1.00044i | 0.865898 | + | 0.500220i | \(0.166747\pi\) | ||||
−0.865898 | + | 0.500220i | \(0.833253\pi\) | |||||||
\(230\) | −9.45022 | − | 4.07093i | −0.623129 | − | 0.268429i | ||||
\(231\) | 0.935800 | − | 0.165007i | 0.0615711 | − | 0.0108567i | ||||
\(232\) | 4.63643 | − | 5.11122i | 0.304396 | − | 0.335568i | ||||
\(233\) | 2.34209 | − | 26.7702i | 0.153435 | − | 1.75377i | −0.396013 | − | 0.918245i | \(-0.629606\pi\) |
0.549448 | − | 0.835528i | \(-0.314838\pi\) | |||||||
\(234\) | −0.645179 | − | 8.65564i | −0.0421767 | − | 0.565837i | ||||
\(235\) | −0.0803197 | + | 1.79079i | −0.00523948 | + | 0.116819i | ||||
\(236\) | 0.798998 | − | 1.30516i | 0.0520103 | − | 0.0849588i | ||||
\(237\) | 4.07310 | + | 1.89932i | 0.264576 | + | 0.123374i | ||||
\(238\) | 1.32885 | − | 7.00783i | 0.0861364 | − | 0.454250i | ||||
\(239\) | 1.15362 | + | 1.99812i | 0.0746213 | + | 0.129248i | 0.900922 | − | 0.433982i | \(-0.142892\pi\) |
−0.826300 | + | 0.563230i | \(0.809559\pi\) | |||||||
\(240\) | −2.13147 | + | 2.98638i | −0.137586 | + | 0.192770i | ||||
\(241\) | −0.173516 | + | 0.984061i | −0.0111772 | + | 0.0633889i | −0.989886 | − | 0.141864i | \(-0.954691\pi\) |
0.978709 | + | 0.205253i | \(0.0658016\pi\) | |||||||
\(242\) | 1.91144 | + | 11.7201i | 0.122872 | + | 0.753395i | ||||
\(243\) | 0.894123 | + | 10.2199i | 0.0573580 | + | 0.655605i | ||||
\(244\) | 1.47924 | − | 1.17773i | 0.0946989 | − | 0.0753964i | ||||
\(245\) | 6.73303 | − | 8.75310i | 0.430157 | − | 0.559215i | ||||
\(246\) | 2.94633 | − | 0.748978i | 0.187851 | − | 0.0477531i | ||||
\(247\) | 7.56723 | − | 5.65600i | 0.481492 | − | 0.359883i | ||||
\(248\) | −0.751362 | + | 19.4575i | −0.0477116 | + | 1.23555i | ||||
\(249\) | 1.79040 | − | 4.91909i | 0.113462 | − | 0.311734i | ||||
\(250\) | −4.50619 | − | 15.1557i | −0.284996 | − | 0.958529i | ||||
\(251\) | −10.7026 | + | 12.7549i | −0.675545 | + | 0.805083i | −0.989527 | − | 0.144346i | \(-0.953892\pi\) |
0.313983 | + | 0.949429i | \(0.398337\pi\) | |||||||
\(252\) | −3.24569 | − | 7.45543i | −0.204459 | − | 0.469648i | ||||
\(253\) | 3.01125 | + | 4.30051i | 0.189316 | + | 0.270371i | ||||
\(254\) | 15.5379 | + | 4.37836i | 0.974932 | + | 0.274723i | ||||
\(255\) | 3.14663 | − | 0.693669i | 0.197050 | − | 0.0434393i | ||||
\(256\) | 11.1352 | + | 11.4895i | 0.695949 | + | 0.718091i | ||||
\(257\) | 17.6007 | + | 8.20736i | 1.09790 | + | 0.511961i | 0.885226 | − | 0.465162i | \(-0.154004\pi\) |
0.212678 | + | 0.977122i | \(0.431782\pi\) | |||||||
\(258\) | 0.0113749 | − | 0.884099i | 0.000708173 | − | 0.0550416i | ||||
\(259\) | 2.35669 | − | 4.08190i | 0.146437 | − | 0.253637i | ||||
\(260\) | −6.73835 | + | 6.96746i | −0.417895 | + | 0.432103i | ||||
\(261\) | −5.29249 | + | 4.44093i | −0.327597 | + | 0.274887i | ||||
\(262\) | 2.94446 | + | 8.42555i | 0.181909 | + | 0.520532i | ||||
\(263\) | 16.9617 | − | 24.2239i | 1.04591 | − | 1.49371i | 0.186474 | − | 0.982460i | \(-0.440294\pi\) |
0.859433 | − | 0.511249i | \(-0.170817\pi\) | |||||||
\(264\) | 1.72584 | − | 0.725074i | 0.106218 | − | 0.0446252i | ||||
\(265\) | −2.85699 | + | 1.48294i | −0.175503 | + | 0.0910964i | ||||
\(266\) | 4.94422 | − | 7.34075i | 0.303150 | − | 0.450090i | ||||
\(267\) | −5.09506 | + | 5.09506i | −0.311813 | + | 0.311813i | ||||
\(268\) | 23.4186 | + | 17.3126i | 1.43052 | + | 1.05753i | ||||
\(269\) | −10.8886 | + | 1.91996i | −0.663891 | + | 0.117062i | −0.495432 | − | 0.868647i | \(-0.664990\pi\) |
−0.168459 | + | 0.985709i | \(0.553879\pi\) | |||||||
\(270\) | 5.18862 | − | 5.50503i | 0.315769 | − | 0.335025i | ||||
\(271\) | 13.7629 | + | 16.4020i | 0.836035 | + | 0.996348i | 0.999951 | + | 0.00987376i | \(0.00314297\pi\) |
−0.163916 | + | 0.986474i | \(0.552413\pi\) | |||||||
\(272\) | −0.503001 | − | 14.0425i | −0.0304989 | − | 0.851449i | ||||
\(273\) | 0.330379 | + | 1.23299i | 0.0199955 | + | 0.0746241i | ||||
\(274\) | −15.4032 | − | 15.8047i | −0.930540 | − | 0.954797i | ||||
\(275\) | −2.10644 | + | 7.78729i | −0.127023 | + | 0.469591i | ||||
\(276\) | −1.76800 | + | 2.00017i | −0.106421 | + | 0.120396i | ||||
\(277\) | 1.44092 | − | 5.37759i | 0.0865765 | − | 0.323108i | −0.909032 | − | 0.416727i | \(-0.863177\pi\) |
0.995608 | + | 0.0936194i | \(0.0298437\pi\) | |||||||
\(278\) | 2.24034 | + | 3.99831i | 0.134367 | + | 0.239803i | ||||
\(279\) | 3.38523 | − | 19.1986i | 0.202669 | − | 1.14939i | ||||
\(280\) | −3.80586 | + | 8.24440i | −0.227444 | + | 0.492697i | ||||
\(281\) | −0.767149 | − | 0.643714i | −0.0457642 | − | 0.0384008i | 0.619619 | − | 0.784903i | \(-0.287287\pi\) |
−0.665383 | + | 0.746502i | \(0.731732\pi\) | |||||||
\(282\) | 0.434938 | + | 0.164671i | 0.0259002 | + | 0.00980604i | ||||
\(283\) | 5.33804 | + | 11.4475i | 0.317314 | + | 0.680482i | 0.998675 | − | 0.0514659i | \(-0.0163893\pi\) |
−0.681361 | + | 0.731948i | \(0.738612\pi\) | |||||||
\(284\) | 5.38757 | − | 2.92835i | 0.319694 | − | 0.173765i | ||||
\(285\) | 3.92749 | + | 0.748670i | 0.232644 | + | 0.0443474i | ||||
\(286\) | 4.79296 | − | 1.21840i | 0.283413 | − | 0.0720456i | ||||
\(287\) | 6.81890 | − | 3.17971i | 0.402507 | − | 0.187692i | ||||
\(288\) | −9.48650 | − | 12.9075i | −0.558997 | − | 0.760584i | ||||
\(289\) | 2.99525 | − | 3.56960i | 0.176191 | − | 0.209976i | ||||
\(290\) | 7.63442 | + | 1.11445i | 0.448308 | + | 0.0654428i | ||||
\(291\) | −0.660804 | − | 0.116518i | −0.0387370 | − | 0.00683038i | ||||
\(292\) | 1.05676 | − | 1.00373i | 0.0618420 | − | 0.0587387i | ||||
\(293\) | −10.1438 | − | 2.71801i | −0.592605 | − | 0.158788i | −0.0499614 | − | 0.998751i | \(-0.515910\pi\) |
−0.542643 | + | 0.839963i | \(0.682576\pi\) | |||||||
\(294\) | −1.61297 | − | 2.36782i | −0.0940703 | − | 0.138094i | ||||
\(295\) | 1.70940 | − | 0.0725991i | 0.0995249 | − | 0.00422688i | ||||
\(296\) | 2.74752 | − | 8.86957i | 0.159697 | − | 0.515533i | ||||
\(297\) | −3.72817 | + | 0.998959i | −0.216330 | + | 0.0579655i | ||||
\(298\) | −8.38745 | + | 9.73853i | −0.485872 | + | 0.564138i | ||||
\(299\) | −5.40250 | + | 4.53323i | −0.312434 | + | 0.262164i | ||||
\(300\) | −4.10045 | − | 0.115282i | −0.236740 | − | 0.00665583i | ||||
\(301\) | −0.379985 | − | 2.15500i | −0.0219020 | − | 0.124212i | ||||
\(302\) | −15.7479 | − | 19.2657i | −0.906192 | − | 1.10862i | ||||
\(303\) | 0.639349 | + | 0.639349i | 0.0367296 | + | 0.0367296i | ||||
\(304\) | 6.29745 | − | 16.2586i | 0.361184 | − | 0.932495i | ||||
\(305\) | 2.01540 | + | 0.638088i | 0.115402 | + | 0.0365368i | ||||
\(306\) | −1.40629 | + | 13.9974i | −0.0803922 | + | 0.800178i | ||||
\(307\) | −5.64988 | − | 3.95609i | −0.322456 | − | 0.225786i | 0.401129 | − | 0.916022i | \(-0.368618\pi\) |
−0.723585 | + | 0.690236i | \(0.757507\pi\) | |||||||
\(308\) | 3.86221 | − | 2.55883i | 0.220070 | − | 0.145803i | ||||
\(309\) | −3.15451 | − | 3.75940i | −0.179454 | − | 0.213865i | ||||
\(310\) | −18.5235 | + | 11.4380i | −1.05207 | + | 0.649637i | ||||
\(311\) | 26.3244 | + | 15.1984i | 1.49272 | + | 0.861822i | 0.999965 | − | 0.00834562i | \(-0.00265652\pi\) |
0.492755 | + | 0.870168i | \(0.335990\pi\) | |||||||
\(312\) | 1.17237 | + | 2.22468i | 0.0663726 | + | 0.125948i | ||||
\(313\) | −6.83128 | + | 14.6497i | −0.386127 | + | 0.828051i | 0.613148 | + | 0.789968i | \(0.289903\pi\) |
−0.999275 | + | 0.0380832i | \(0.987875\pi\) | |||||||
\(314\) | −23.3648 | + | 15.9162i | −1.31855 | + | 0.898204i | ||||
\(315\) | 4.89373 | − | 7.66151i | 0.275730 | − | 0.431677i | ||||
\(316\) | 21.9044 | + | 0.563745i | 1.23222 | + | 0.0317131i | ||||
\(317\) | 4.25232 | − | 2.97751i | 0.238834 | − | 0.167233i | −0.448032 | − | 0.894018i | \(-0.647875\pi\) |
0.686866 | + | 0.726784i | \(0.258986\pi\) | |||||||
\(318\) | 0.134423 | + | 0.824222i | 0.00753808 | + | 0.0462201i | ||||
\(319\) | −3.01550 | − | 2.53030i | −0.168835 | − | 0.141670i | ||||
\(320\) | −3.71645 | + | 17.4982i | −0.207756 | + | 0.978181i | ||||
\(321\) | −3.35598 | − | 1.22148i | −0.187312 | − | 0.0681761i | ||||
\(322\) | −3.37679 | + | 5.67877i | −0.188181 | + | 0.316466i | ||||
\(323\) | −13.6704 | + | 6.89813i | −0.760642 | + | 0.383822i | ||||
\(324\) | 7.17656 | + | 13.2034i | 0.398698 | + | 0.733524i | ||||
\(325\) | −10.6678 | − | 1.90716i | −0.591741 | − | 0.105790i | ||||
\(326\) | 13.1679 | + | 29.2142i | 0.729304 | + | 1.61803i | ||||
\(327\) | −6.72972 | + | 0.588774i | −0.372154 | + | 0.0325593i | ||||
\(328\) | 11.7135 | − | 9.08216i | 0.646768 | − | 0.501478i | ||||
\(329\) | 1.13351 | + | 0.199869i | 0.0624926 | + | 0.0110191i | ||||
\(330\) | 1.74918 | + | 1.14922i | 0.0962891 | + | 0.0632627i | ||||
\(331\) | −20.6139 | + | 11.9014i | −1.13304 | + | 0.654162i | −0.944698 | − | 0.327941i | \(-0.893645\pi\) |
−0.188344 | + | 0.982103i | \(0.560312\pi\) | |||||||
\(332\) | −1.56956 | − | 25.4743i | −0.0861407 | − | 1.39808i | ||||
\(333\) | −3.92875 | + | 8.42523i | −0.215294 | + | 0.461700i | ||||
\(334\) | 10.0184 | − | 9.76385i | 0.548181 | − | 0.534254i | ||||
\(335\) | −1.45892 | + | 32.5279i | −0.0797095 | + | 1.77719i | ||||
\(336\) | 1.72438 | + | 1.60511i | 0.0940724 | + | 0.0875661i | ||||
\(337\) | 7.50056 | + | 0.656214i | 0.408582 | + | 0.0357463i | 0.289594 | − | 0.957149i | \(-0.406480\pi\) |
0.118987 | + | 0.992896i | \(0.462035\pi\) | |||||||
\(338\) | −3.87353 | − | 11.0841i | −0.210692 | − | 0.602896i | ||||
\(339\) | −0.898414 | − | 5.09516i | −0.0487951 | − | 0.276731i | ||||
\(340\) | 12.7165 | − | 9.22472i | 0.689648 | − | 0.500280i | ||||
\(341\) | 11.1075 | 0.601506 | ||||||||
\(342\) | −8.45255 | + | 15.2730i | −0.457062 | + | 0.825870i | ||||
\(343\) | −12.1204 | − | 12.1204i | −0.654441 | − | 0.654441i | ||||
\(344\) | −1.66973 | − | 3.97435i | −0.0900260 | − | 0.214283i | ||||
\(345\) | −2.95865 | − | 0.393091i | −0.159288 | − | 0.0211633i | ||||
\(346\) | 7.29674 | − | 15.1364i | 0.392275 | − | 0.813738i | ||||
\(347\) | −0.693008 | + | 7.92112i | −0.0372026 | + | 0.425228i | 0.954640 | + | 0.297761i | \(0.0962400\pi\) |
−0.991843 | + | 0.127466i | \(0.959316\pi\) | |||||||
\(348\) | 0.892327 | − | 1.79175i | 0.0478337 | − | 0.0960476i | ||||
\(349\) | 23.9478 | + | 13.8262i | 1.28189 | + | 0.740102i | 0.977194 | − | 0.212347i | \(-0.0681107\pi\) |
0.304699 | + | 0.952449i | \(0.401444\pi\) | |||||||
\(350\) | −10.0237 | + | 1.61034i | −0.535791 | + | 0.0860760i | ||||
\(351\) | −1.77332 | − | 4.87217i | −0.0946530 | − | 0.260057i | ||||
\(352\) | 6.30400 | − | 6.60006i | 0.336004 | − | 0.351784i | ||||
\(353\) | 2.90773 | + | 0.779123i | 0.154763 | + | 0.0414685i | 0.335368 | − | 0.942087i | \(-0.391139\pi\) |
−0.180606 | + | 0.983556i | \(0.557806\pi\) | |||||||
\(354\) | 0.120392 | − | 0.427244i | 0.00639874 | − | 0.0227077i | ||||
\(355\) | 6.07737 | + | 3.17286i | 0.322553 | + | 0.168398i | ||||
\(356\) | −12.8609 | + | 32.6923i | −0.681625 | + | 1.73269i | ||||
\(357\) | −0.180318 | − | 2.06104i | −0.00954343 | − | 0.109082i | ||||
\(358\) | −22.1698 | − | 8.39368i | −1.17171 | − | 0.443620i | ||||
\(359\) | 26.0214 | + | 9.47103i | 1.37336 | + | 0.499862i | 0.920158 | − | 0.391547i | \(-0.128060\pi\) |
0.453201 | + | 0.891409i | \(0.350282\pi\) | |||||||
\(360\) | 6.06057 | − | 16.8528i | 0.319420 | − | 0.888221i | ||||
\(361\) | −18.9635 | + | 1.17690i | −0.998080 | + | 0.0619420i | ||||
\(362\) | −16.5734 | + | 27.8715i | −0.871076 | + | 1.46490i | ||||
\(363\) | 1.45569 | + | 3.12173i | 0.0764037 | + | 0.163848i | ||||
\(364\) | 3.87648 | + | 4.86892i | 0.203183 | + | 0.255201i | ||||
\(365\) | 1.59045 | + | 0.354577i | 0.0832479 | + | 0.0185594i | ||||
\(366\) | 0.320333 | − | 0.445182i | 0.0167441 | − | 0.0232700i | ||||
\(367\) | 3.47346 | + | 4.96061i | 0.181313 | + | 0.258942i | 0.899512 | − | 0.436896i | \(-0.143922\pi\) |
−0.718199 | + | 0.695838i | \(0.755033\pi\) | |||||||
\(368\) | −4.01093 | + | 12.3822i | −0.209084 | + | 0.645467i | ||||
\(369\) | −12.8512 | + | 7.41964i | −0.669006 | + | 0.386251i | ||||
\(370\) | 9.94377 | − | 2.98229i | 0.516952 | − | 0.155042i | ||||
\(371\) | 0.706896 | + | 1.94218i | 0.0367002 | + | 0.100833i | ||||
\(372\) | 1.32098 | + | 5.49142i | 0.0684897 | + | 0.284717i | ||||
\(373\) | −2.44427 | − | 9.12213i | −0.126559 | − | 0.472326i | 0.873331 | − | 0.487127i | \(-0.161955\pi\) |
−0.999890 | + | 0.0148012i | \(0.995288\pi\) | |||||||
\(374\) | −7.99326 | + | 0.595806i | −0.413322 | + | 0.0308084i | ||||
\(375\) | −2.45039 | − | 3.87677i | −0.126538 | − | 0.200195i | ||||
\(376\) | 2.26479 | − | 0.110315i | 0.116798 | − | 0.00568905i | ||||
\(377\) | 3.03306 | − | 4.33166i | 0.156211 | − | 0.223092i | ||||
\(378\) | −3.07407 | − | 3.76075i | −0.158113 | − | 0.193432i | ||||
\(379\) | −15.1673 | −0.779093 | −0.389546 | − | 0.921007i | \(-0.627368\pi\) | ||||
−0.389546 | + | 0.921007i | \(0.627368\pi\) | |||||||
\(380\) | 19.0142 | − | 4.29664i | 0.975407 | − | 0.220413i | ||||
\(381\) | 4.68243 | 0.239888 | ||||||||
\(382\) | −19.6746 | − | 24.0694i | −1.00664 | − | 1.23150i | ||||
\(383\) | −6.32794 | + | 9.03723i | −0.323342 | + | 0.461781i | −0.947610 | − | 0.319430i | \(-0.896509\pi\) |
0.624267 | + | 0.781211i | \(0.285398\pi\) | |||||||
\(384\) | 4.01270 | + | 2.33169i | 0.204772 | + | 0.118989i | ||||
\(385\) | 4.78315 | + | 1.98791i | 0.243772 | + | 0.101313i | ||||
\(386\) | −33.5592 | + | 2.50146i | −1.70812 | + | 0.127321i | ||||
\(387\) | 1.11703 | + | 4.16883i | 0.0567821 | + | 0.211914i | ||||
\(388\) | −3.18077 | + | 0.765146i | −0.161479 | + | 0.0388444i | ||||
\(389\) | −4.92394 | − | 13.5284i | −0.249654 | − | 0.685918i | −0.999699 | − | 0.0245316i | \(-0.992191\pi\) |
0.750045 | − | 0.661386i | \(-0.230032\pi\) | |||||||
\(390\) | −1.33313 | + | 2.47535i | −0.0675055 | + | 0.125344i | ||||
\(391\) | 9.89913 | − | 5.71527i | 0.500621 | − | 0.289033i | ||||
\(392\) | −11.8186 | − | 7.44587i | −0.596930 | − | 0.376073i | ||||
\(393\) | 1.48491 | + | 2.12067i | 0.0749037 | + | 0.106974i | ||||
\(394\) | 9.21815 | − | 12.8109i | 0.464404 | − | 0.645403i | ||||
\(395\) | 13.1382 | + | 20.6770i | 0.661055 | + | 1.04037i | ||||
\(396\) | −7.14861 | + | 5.69150i | −0.359231 | + | 0.286009i | ||||
\(397\) | 5.64748 | + | 12.1111i | 0.283439 | + | 0.607837i | 0.995550 | − | 0.0942297i | \(-0.0300388\pi\) |
−0.712112 | + | 0.702066i | \(0.752261\pi\) | |||||||
\(398\) | 7.65321 | − | 12.8705i | 0.383621 | − | 0.645138i | ||||
\(399\) | 0.802860 | − | 2.43842i | 0.0401932 | − | 0.122074i | ||||
\(400\) | −18.5547 | + | 7.46471i | −0.927737 | + | 0.373236i | ||||
\(401\) | 26.8970 | + | 9.78970i | 1.34317 | + | 0.488874i | 0.910810 | − | 0.412826i | \(-0.135458\pi\) |
0.432361 | + | 0.901701i | \(0.357681\pi\) | |||||||
\(402\) | 7.90019 | + | 2.99109i | 0.394026 | + | 0.149182i | ||||
\(403\) | 1.30046 | + | 14.8644i | 0.0647807 | + | 0.740446i | ||||
\(404\) | 4.10236 | + | 1.61384i | 0.204100 | + | 0.0802914i | ||||
\(405\) | −7.77580 | + | 14.8939i | −0.386382 | + | 0.740086i | ||||
\(406\) | 1.34362 | − | 4.76821i | 0.0666826 | − | 0.236642i | ||||
\(407\) | −5.11621 | − | 1.37088i | −0.253601 | − | 0.0679522i | ||||
\(408\) | −1.24517 | − | 3.88091i | −0.0616452 | − | 0.192134i | ||||
\(409\) | 9.58204 | + | 26.3264i | 0.473801 | + | 1.30176i | 0.914675 | + | 0.404189i | \(0.132446\pi\) |
−0.440874 | + | 0.897569i | \(0.645331\pi\) | |||||||
\(410\) | 15.7329 | + | 5.20475i | 0.776993 | + | 0.257044i | ||||
\(411\) | −5.54376 | − | 3.20069i | −0.273453 | − | 0.157878i | ||||
\(412\) | −21.4181 | − | 10.6666i | −1.05519 | − | 0.525508i | ||||
\(413\) | 0.0957465 | − | 1.09439i | 0.00471138 | − | 0.0538513i | ||||
\(414\) | 5.65854 | − | 11.7381i | 0.278102 | − | 0.576897i | ||||
\(415\) | 22.6591 | − | 17.3442i | 1.11229 | − | 0.851393i | ||||
\(416\) | 9.57043 | + | 7.66344i | 0.469229 | + | 0.375731i | ||||
\(417\) | 0.940028 | + | 0.940028i | 0.0460334 | + | 0.0460334i | ||||
\(418\) | −9.40617 | − | 3.23173i | −0.460071 | − | 0.158069i | ||||
\(419\) | −26.3188 | −1.28576 | −0.642878 | − | 0.765969i | \(-0.722260\pi\) | ||||
−0.642878 | + | 0.765969i | \(0.722260\pi\) | |||||||
\(420\) | −0.413952 | + | 2.60115i | −0.0201988 | + | 0.126923i | ||||
\(421\) | 3.95002 | + | 22.4017i | 0.192512 | + | 1.09179i | 0.915917 | + | 0.401367i | \(0.131465\pi\) |
−0.723405 | + | 0.690424i | \(0.757424\pi\) | |||||||
\(422\) | −3.22917 | − | 9.24025i | −0.157193 | − | 0.449809i | ||||
\(423\) | −2.26148 | − | 0.197854i | −0.109957 | − | 0.00961999i | ||||
\(424\) | 2.20497 | + | 3.42294i | 0.107083 | + | 0.166233i | ||||
\(425\) | 16.4907 | + | 6.04656i | 0.799919 | + | 0.293301i | ||||
\(426\) | 1.27377 | − | 1.24141i | 0.0617142 | − | 0.0601464i | ||||
\(427\) | 0.573649 | − | 1.23020i | 0.0277608 | − | 0.0595333i | ||||
\(428\) | −17.3795 | + | 1.07081i | −0.840069 | + | 0.0517595i | ||||
\(429\) | 1.24228 | − | 0.717232i | 0.0599779 | − | 0.0346283i | ||||
\(430\) | 2.64648 | − | 4.02809i | 0.127625 | − | 0.194252i | ||||
\(431\) | 1.21244 | + | 0.213787i | 0.0584014 | + | 0.0102977i | 0.202773 | − | 0.979226i | \(-0.435005\pi\) |
−0.144371 | + | 0.989524i | \(0.546116\pi\) | |||||||
\(432\) | −7.54566 | − | 5.88441i | −0.363041 | − | 0.283114i | ||||
\(433\) | 7.80478 | − | 0.682830i | 0.375074 | − | 0.0328147i | 0.101939 | − | 0.994791i | \(-0.467495\pi\) |
0.273134 | + | 0.961976i | \(0.411940\pi\) | |||||||
\(434\) | 5.74408 | + | 12.7437i | 0.275724 | + | 0.611719i | ||||
\(435\) | 2.21911 | − | 0.289470i | 0.106398 | − | 0.0138790i | ||||
\(436\) | −28.9382 | + | 15.7290i | −1.38589 | + | 0.753282i | ||||
\(437\) | 14.0844 | − | 1.67339i | 0.673748 | − | 0.0800491i | ||||
\(438\) | 0.216069 | − | 0.363365i | 0.0103242 | − | 0.0173623i | ||||
\(439\) | −26.1519 | − | 9.51853i | −1.24816 | − | 0.454295i | −0.368383 | − | 0.929674i | \(-0.620089\pi\) |
−0.879781 | + | 0.475379i | \(0.842311\pi\) | |||||||
\(440\) | 10.0560 | + | 1.73326i | 0.479399 | + | 0.0826298i | ||||
\(441\) | 10.7130 | + | 8.98930i | 0.510145 | + | 0.428062i | ||||
\(442\) | −1.73317 | − | 10.6270i | −0.0824385 | − | 0.505476i | ||||
\(443\) | 8.96026 | − | 6.27404i | 0.425715 | − | 0.298089i | −0.341016 | − | 0.940057i | \(-0.610771\pi\) |
0.766731 | + | 0.641969i | \(0.221882\pi\) | |||||||
\(444\) | 0.0692938 | − | 2.69243i | 0.00328854 | − | 0.127777i | ||||
\(445\) | −38.3567 | + | 8.45568i | −1.81828 | + | 0.400838i | ||||
\(446\) | −32.1221 | + | 21.8817i | −1.52103 | + | 1.03613i | ||||
\(447\) | −1.57553 | + | 3.37873i | −0.0745199 | + | 0.159809i | ||||
\(448\) | 10.8323 | + | 3.81951i | 0.511778 | + | 0.180455i | ||||
\(449\) | 12.9742 | + | 7.49064i | 0.612289 | + | 0.353505i | 0.773861 | − | 0.633356i | \(-0.218323\pi\) |
−0.161572 | + | 0.986861i | \(0.551656\pi\) | |||||||
\(450\) | 19.4178 | − | 4.88704i | 0.915365 | − | 0.230377i | ||||
\(451\) | −5.43474 | − | 6.47687i | −0.255912 | − | 0.304984i | ||||
\(452\) | −13.9321 | − | 21.0286i | −0.655311 | − | 0.989102i | ||||
\(453\) | −5.91229 | − | 4.13983i | −0.277784 | − | 0.194506i | ||||
\(454\) | −0.276529 | + | 2.75241i | −0.0129781 | + | 0.129177i | ||||
\(455\) | −2.10026 | + | 6.63368i | −0.0984617 | + | 0.310992i | ||||
\(456\) | 0.479084 | − | 5.03463i | 0.0224351 | − | 0.235768i | ||||
\(457\) | 4.27441 | + | 4.27441i | 0.199949 | + | 0.199949i | 0.799978 | − | 0.600029i | \(-0.204844\pi\) |
−0.600029 | + | 0.799978i | \(0.704844\pi\) | |||||||
\(458\) | 13.5502 | + | 16.5770i | 0.633157 | + | 0.774591i | ||||
\(459\) | 1.45926 | + | 8.27587i | 0.0681124 | + | 0.386285i | ||||
\(460\) | −13.9912 | + | 4.00071i | −0.652341 | + | 0.186534i | ||||
\(461\) | 10.5629 | − | 8.86332i | 0.491963 | − | 0.412806i | −0.362766 | − | 0.931880i | \(-0.618168\pi\) |
0.854729 | + | 0.519074i | \(0.173723\pi\) | |||||||
\(462\) | 0.876974 | − | 1.01824i | 0.0408005 | − | 0.0473729i | ||||
\(463\) | −16.9826 | + | 4.55047i | −0.789248 | + | 0.211478i | −0.630858 | − | 0.775898i | \(-0.717297\pi\) |
−0.158390 | + | 0.987377i | \(0.550630\pi\) | |||||||
\(464\) | 0.502004 | − | 9.74629i | 0.0233050 | − | 0.452460i | ||||
\(465\) | −4.27170 | + | 4.65064i | −0.198095 | + | 0.215668i | ||||
\(466\) | −21.3955 | − | 31.4084i | −0.991129 | − | 1.45497i | ||||
\(467\) | −36.1165 | − | 9.67738i | −1.67127 | − | 0.447816i | −0.705818 | − | 0.708393i | \(-0.749420\pi\) |
−0.965453 | + | 0.260577i | \(0.916087\pi\) | |||||||
\(468\) | −8.45347 | − | 8.90009i | −0.390762 | − | 0.411407i | ||||
\(469\) | 20.5891 | + | 3.63041i | 0.950715 | + | 0.167637i | ||||
\(470\) | 1.51486 | + | 2.03273i | 0.0698754 | + | 0.0937628i | ||||
\(471\) | −5.27102 | + | 6.28176i | −0.242876 | + | 0.289448i | ||||
\(472\) | −0.293287 | − | 2.14422i | −0.0134996 | − | 0.0986957i | ||||
\(473\) | −2.22866 | + | 1.03924i | −0.102474 | + | 0.0477845i | ||||
\(474\) | 6.15980 | − | 1.56586i | 0.282929 | − | 0.0719225i | ||||
\(475\) | 15.8456 | + | 14.9638i | 0.727048 | + | 0.686587i | ||||
\(476\) | −4.81716 | − | 8.86261i | −0.220794 | − | 0.406217i | ||||
\(477\) | −1.72277 | − | 3.69448i | −0.0788801 | − | 0.169159i | ||||
\(478\) | 3.05153 | + | 1.15534i | 0.139574 | + | 0.0528440i | ||||
\(479\) | 31.0398 | + | 26.0455i | 1.41825 | + | 1.19005i | 0.952271 | + | 0.305253i | \(0.0987410\pi\) |
0.465976 | + | 0.884798i | \(0.345703\pi\) | |||||||
\(480\) | 0.339022 | + | 5.17767i | 0.0154742 | + | 0.236327i | ||||
\(481\) | 1.23555 | − | 7.00714i | 0.0563362 | − | 0.319498i | ||||
\(482\) | 0.690767 | + | 1.23280i | 0.0314636 | + | 0.0561527i | ||||
\(483\) | −0.496001 | + | 1.85110i | −0.0225688 | + | 0.0842280i | ||||
\(484\) | 12.5827 | + | 11.1222i | 0.571942 | + | 0.505554i | ||||
\(485\) | −2.69377 | − | 2.47428i | −0.122318 | − | 0.112351i | ||||
\(486\) | 10.1261 | + | 10.3900i | 0.459328 | + | 0.471302i | ||||
\(487\) | −3.84310 | − | 14.3426i | −0.174147 | − | 0.649927i | −0.996695 | − | 0.0812309i | \(-0.974115\pi\) |
0.822548 | − | 0.568696i | \(-0.192552\pi\) | |||||||
\(488\) | 0.565608 | − | 2.61352i | 0.0256039 | − | 0.118309i | ||||
\(489\) | 5.97465 | + | 7.12031i | 0.270183 | + | 0.321992i | ||||
\(490\) | −0.461888 | − | 15.6105i | −0.0208660 | − | 0.705210i | ||||
\(491\) | 34.5960 | − | 6.10021i | 1.56130 | − | 0.275299i | 0.674788 | − | 0.738012i | \(-0.264235\pi\) |
0.886508 | + | 0.462713i | \(0.153124\pi\) | |||||||
\(492\) | 2.55575 | − | 3.45714i | 0.115222 | − | 0.155860i | ||||
\(493\) | −6.06040 | + | 6.06040i | −0.272946 | + | 0.272946i | ||||
\(494\) | 3.22352 | − | 12.9659i | 0.145033 | − | 0.583365i | ||||
\(495\) | −9.73966 | − | 3.08363i | −0.437765 | − | 0.138599i | ||||
\(496\) | 16.5923 | + | 21.9776i | 0.745016 | + | 0.986825i | ||||
\(497\) | 2.52487 | − | 3.60589i | 0.113256 | − | 0.161746i | ||||
\(498\) | −2.44230 | − | 6.98864i | −0.109442 | − | 0.313168i | ||||
\(499\) | 17.7092 | − | 14.8598i | 0.792771 | − | 0.665214i | −0.153658 | − | 0.988124i | \(-0.549106\pi\) |
0.946430 | + | 0.322910i | \(0.104661\pi\) | |||||||
\(500\) | −18.4988 | − | 12.5616i | −0.827291 | − | 0.561773i | ||||
\(501\) | 2.02887 | − | 3.51411i | 0.0906433 | − | 0.156999i | ||||
\(502\) | −0.302936 | + | 23.5452i | −0.0135207 | + | 1.05087i | ||||
\(503\) | −24.9368 | − | 11.6282i | −1.11188 | − | 0.518477i | −0.222171 | − | 0.975008i | \(-0.571314\pi\) |
−0.889708 | + | 0.456530i | \(0.849092\pi\) | |||||||
\(504\) | −10.2267 | − | 5.25838i | −0.455533 | − | 0.234227i | ||||
\(505\) | 1.06105 | + | 4.81316i | 0.0472162 | + | 0.214183i | ||||
\(506\) | 7.14626 | + | 2.01372i | 0.317690 | + | 0.0895208i | ||||
\(507\) | −1.95345 | − | 2.78981i | −0.0867556 | − | 0.123900i | ||||
\(508\) | 20.9320 | − | 9.11268i | 0.928708 | − | 0.404310i | ||||
\(509\) | −0.760612 | + | 0.906462i | −0.0337135 | + | 0.0401782i | −0.782638 | − | 0.622477i | \(-0.786126\pi\) |
0.748924 | + | 0.662656i | \(0.230571\pi\) | |||||||
\(510\) | 2.82457 | − | 3.57585i | 0.125074 | − | 0.158341i | ||||
\(511\) | 0.357847 | − | 0.983177i | 0.0158302 | − | 0.0434932i | ||||
\(512\) | 22.4759 | + | 2.61415i | 0.993304 | + | 0.115530i | ||||
\(513\) | −2.38543 | + | 10.1509i | −0.105319 | + | 0.448174i | ||||
\(514\) | 26.6178 | − | 6.76643i | 1.17406 | − | 0.298454i | ||||
\(515\) | −3.46024 | − | 26.5267i | −0.152477 | − | 1.16890i | ||||
\(516\) | −0.778837 | − | 0.978230i | −0.0342864 | − | 0.0430642i | ||||
\(517\) | −0.112731 | − | 1.28852i | −0.00495791 | − | 0.0566691i | ||||
\(518\) | −1.07294 | − | 6.57880i | −0.0471423 | − | 0.289056i | ||||
\(519\) | 0.846360 | − | 4.79994i | 0.0371511 | − | 0.210694i | ||||
\(520\) | −1.14214 | + | 13.6601i | −0.0500862 | + | 0.599033i | ||||
\(521\) | −5.85745 | − | 10.1454i | −0.256620 | − | 0.444478i | 0.708714 | − | 0.705495i | \(-0.249275\pi\) |
−0.965334 | + | 0.261017i | \(0.915942\pi\) | |||||||
\(522\) | −1.82030 | + | 9.59954i | −0.0796722 | + | 0.420160i | ||||
\(523\) | 27.4921 | + | 12.8198i | 1.20214 | + | 0.560569i | 0.917374 | − | 0.398027i | \(-0.130305\pi\) |
0.284770 | + | 0.958596i | \(0.408083\pi\) | |||||||
\(524\) | 10.7651 | + | 6.59024i | 0.470277 | + | 0.287896i | ||||
\(525\) | −2.67182 | + | 1.23817i | −0.116608 | + | 0.0540381i | ||||
\(526\) | −3.10866 | − | 41.7053i | −0.135544 | − | 1.81844i | ||||
\(527\) | 2.10777 | − | 24.0920i | 0.0918161 | − | 1.04946i | ||||
\(528\) | 1.24076 | − | 2.33860i | 0.0539973 | − | 0.101775i | ||||
\(529\) | 12.2235 | − | 2.15534i | 0.531458 | − | 0.0937103i | ||||
\(530\) | −1.80100 | + | 4.18084i | −0.0782306 | + | 0.181604i | ||||
\(531\) | 2.16671i | 0.0940272i | ||||||||
\(532\) | −1.15646 | − | 12.4630i | −0.0501389 | − | 0.540340i | ||||
\(533\) | 8.03122 | − | 8.03122i | 0.347871 | − | 0.347871i | ||||
\(534\) | −1.01865 | + | 10.1391i | −0.0440814 | + | 0.438761i | ||||
\(535\) | −11.8328 | − | 15.4588i | −0.511578 | − | 0.668344i | ||||
\(536\) | 41.1375 | − | 2.00375i | 1.77687 | − | 0.0865489i | ||||
\(537\) | −6.84987 | − | 0.599286i | −0.295594 | − | 0.0258611i | ||||
\(538\) | −10.2041 | + | 11.8479i | −0.439932 | + | 0.510798i | ||||
\(539\) | −3.98407 | + | 6.90062i | −0.171606 | + | 0.297231i | ||||
\(540\) | 0.754165 | − | 10.6717i | 0.0324541 | − | 0.459237i | ||||
\(541\) | 6.07646 | − | 2.21165i | 0.261247 | − | 0.0950862i | −0.208076 | − | 0.978113i | \(-0.566720\pi\) |
0.469323 | + | 0.883026i | \(0.344498\pi\) | |||||||
\(542\) | 29.7499 | + | 5.64128i | 1.27787 | + | 0.242314i | ||||
\(543\) | −2.43438 | + | 9.08525i | −0.104469 | + | 0.389885i | ||||
\(544\) | −13.1191 | − | 14.9257i | −0.562478 | − | 0.639933i | ||||
\(545\) | −32.6433 | − | 17.0423i | −1.39829 | − | 0.730014i | ||||
\(546\) | 1.46531 | + | 1.05437i | 0.0627095 | + | 0.0451230i | ||||
\(547\) | −17.7638 | + | 1.55413i | −0.759526 | + | 0.0664499i | −0.460337 | − | 0.887744i | \(-0.652272\pi\) |
−0.299189 | + | 0.954194i | \(0.596716\pi\) | |||||||
\(548\) | −31.0114 | − | 3.51920i | −1.32474 | − | 0.150333i | ||||
\(549\) | −0.915639 | + | 2.51570i | −0.0390785 | + | 0.107367i | ||||
\(550\) | 4.66337 | + | 10.4121i | 0.198847 | + | 0.443972i | ||||
\(551\) | −9.87598 | + | 3.94524i | −0.420731 | + | 0.168073i | ||||
\(552\) | −0.145677 | + | 3.77251i | −0.00620043 | + | 0.160569i | ||||
\(553\) | 14.2561 | − | 6.64771i | 0.606229 | − | 0.282689i | ||||
\(554\) | −3.23534 | − | 7.17788i | −0.137456 | − | 0.304959i | ||||
\(555\) | 2.54156 | − | 1.61491i | 0.107883 | − | 0.0685491i | ||||
\(556\) | 6.03166 | + | 2.37281i | 0.255800 | + | 0.100629i | ||||
\(557\) | 6.35217 | − | 4.44784i | 0.269150 | − | 0.188461i | −0.431208 | − | 0.902253i | \(-0.641913\pi\) |
0.700358 | + | 0.713792i | \(0.253024\pi\) | |||||||
\(558\) | −13.4766 | − | 24.0515i | −0.570509 | − | 1.01818i | ||||
\(559\) | −1.65167 | − | 2.86078i | −0.0698583 | − | 0.120998i | ||||
\(560\) | 3.21170 | + | 12.4336i | 0.135719 | + | 0.525415i | ||||
\(561\) | −2.18475 | + | 0.795183i | −0.0922401 | + | 0.0335727i | ||||
\(562\) | −1.41613 | − | 0.0182202i | −0.0597360 | − | 0.000768573i | ||||
\(563\) | 19.2062 | − | 5.14628i | 0.809444 | − | 0.216890i | 0.169718 | − | 0.985493i | \(-0.445714\pi\) |
0.639726 | + | 0.768603i | \(0.279048\pi\) | |||||||
\(564\) | 0.623623 | − | 0.208973i | 0.0262593 | − | 0.00879934i | ||||
\(565\) | 10.8236 | − | 26.0429i | 0.455351 | − | 1.09563i | ||||
\(566\) | 16.0907 | + | 7.75679i | 0.676343 | + | 0.326042i | ||||
\(567\) | 8.83704 | + | 6.18776i | 0.371121 | + | 0.259861i | ||||
\(568\) | 3.27821 | − | 8.02843i | 0.137550 | − | 0.336865i | ||||
\(569\) | − | 24.0585i | − | 1.00859i | −0.863533 | − | 0.504293i | \(-0.831753\pi\) | ||
0.863533 | − | 0.504293i | \(-0.168247\pi\) | |||||||
\(570\) | 4.97050 | − | 2.69544i | 0.208191 | − | 0.112900i | ||||
\(571\) | − | 41.3229i | − | 1.72931i | −0.502366 | − | 0.864655i | \(-0.667537\pi\) | ||
0.502366 | − | 0.864655i | \(-0.332463\pi\) | |||||||
\(572\) | 4.15757 | − | 5.62392i | 0.173837 | − | 0.235148i | ||||
\(573\) | −7.38647 | − | 5.17207i | −0.308574 | − | 0.216066i | ||||
\(574\) | 4.62047 | − | 9.58473i | 0.192855 | − | 0.400059i | ||||
\(575\) | −12.4383 | − | 10.4874i | −0.518713 | − | 0.437357i | ||||
\(576\) | −21.9399 | − | 5.64252i | −0.914162 | − | 0.235105i | ||||
\(577\) | −35.3229 | + | 9.46473i | −1.47051 | + | 0.394022i | −0.903106 | − | 0.429417i | \(-0.858719\pi\) |
−0.567404 | + | 0.823439i | \(0.692052\pi\) | |||||||
\(578\) | 0.0847799 | − | 6.58938i | 0.00352638 | − | 0.274082i | ||||
\(579\) | −9.17253 | + | 3.33853i | −0.381198 | + | 0.138745i | ||||
\(580\) | 9.35681 | − | 5.61273i | 0.388520 | − | 0.233056i | ||||
\(581\) | −9.16100 | − | 15.8673i | −0.380062 | − | 0.658287i | ||||
\(582\) | −0.827837 | + | 0.463855i | −0.0343150 | + | 0.0192274i | ||||
\(583\) | 1.90257 | − | 1.33220i | 0.0787965 | − | 0.0551739i | ||||
\(584\) | 0.258740 | − | 2.04486i | 0.0107067 | − | 0.0846170i | ||||
\(585\) | 2.98628 | − | 13.3949i | 0.123467 | − | 0.553810i | ||||
\(586\) | −13.5397 | + | 6.10283i | −0.559318 | + | 0.252106i | ||||
\(587\) | −17.4504 | + | 8.13725i | −0.720255 | + | 0.335860i | −0.747949 | − | 0.663756i | \(-0.768961\pi\) |
0.0276944 | + | 0.999616i | \(0.491183\pi\) | |||||||
\(588\) | −3.88539 | − | 1.14901i | −0.160231 | − | 0.0473843i | ||||
\(589\) | 14.1917 | − | 26.4405i | 0.584761 | − | 1.08946i | ||||
\(590\) | 1.80673 | − | 1.60945i | 0.0743821 | − | 0.0662599i | ||||
\(591\) | 1.56575 | − | 4.30185i | 0.0644061 | − | 0.176954i | ||||
\(592\) | −4.93008 | − | 12.1709i | −0.202625 | − | 0.500220i | ||||
\(593\) | −28.7332 | + | 2.51383i | −1.17993 | + | 0.103231i | −0.660194 | − | 0.751095i | \(-0.729526\pi\) |
−0.519737 | + | 0.854326i | \(0.673970\pi\) | |||||||
\(594\) | −3.18808 | + | 4.43062i | −0.130809 | + | 0.181791i | ||||
\(595\) | 5.21939 | − | 9.99733i | 0.213974 | − | 0.409851i | ||||
\(596\) | −0.467639 | + | 18.1702i | −0.0191553 | + | 0.744282i | ||||
\(597\) | 1.12415 | − | 4.19537i | 0.0460082 | − | 0.171705i | ||||
\(598\) | −1.85813 | + | 9.79907i | −0.0759846 | + | 0.400714i | ||||
\(599\) | 17.1652 | − | 6.24762i | 0.701351 | − | 0.255271i | 0.0333634 | − | 0.999443i | \(-0.489378\pi\) |
0.667988 | + | 0.744172i | \(0.267156\pi\) | |||||||
\(600\) | −4.59300 | + | 3.54378i | −0.187508 | + | 0.144674i | ||||
\(601\) | 12.6291 | − | 21.8742i | 0.515152 | − | 0.892269i | −0.484694 | − | 0.874684i | \(-0.661069\pi\) |
0.999845 | − | 0.0175849i | \(-0.00559774\pi\) | |||||||
\(602\) | −2.34485 | − | 2.01953i | −0.0955690 | − | 0.0823101i | ||||
\(603\) | −41.0775 | − | 3.59381i | −1.67280 | − | 0.146351i | ||||
\(604\) | −34.4866 | − | 7.00025i | −1.40324 | − | 0.284836i | ||||
\(605\) | −2.47286 | + | 18.6123i | −0.100536 | + | 0.756700i | ||||
\(606\) | 1.27229 | + | 0.127825i | 0.0516834 | + | 0.00519252i | ||||
\(607\) | 17.0786 | − | 17.0786i | 0.693198 | − | 0.693198i | −0.269736 | − | 0.962934i | \(-0.586937\pi\) |
0.962934 | + | 0.269736i | \(0.0869366\pi\) | |||||||
\(608\) | −7.65645 | − | 23.4388i | −0.310510 | − | 0.950570i | ||||
\(609\) | − | 1.43693i | − | 0.0582273i | ||||||
\(610\) | 2.77788 | − | 1.10516i | 0.112473 | − | 0.0447467i | ||||
\(611\) | 1.71113 | − | 0.301719i | 0.0692251 | − | 0.0122062i | ||||
\(612\) | 10.9882 | + | 16.5852i | 0.444172 | + | 0.670417i | ||||
\(613\) | 0.655881 | − | 7.49676i | 0.0264908 | − | 0.302791i | −0.971378 | − | 0.237539i | \(-0.923659\pi\) |
0.997869 | − | 0.0652522i | \(-0.0207852\pi\) | |||||||
\(614\) | −9.72717 | + | 0.725050i | −0.392557 | + | 0.0292606i | ||||
\(615\) | 4.80190 | + | 0.215372i | 0.193631 | + | 0.00868464i | ||||
\(616\) | 1.93872 | − | 6.25859i | 0.0781133 | − | 0.252166i | ||||
\(617\) | 4.71744 | + | 2.19978i | 0.189917 | + | 0.0885598i | 0.515251 | − | 0.857040i | \(-0.327699\pi\) |
−0.325334 | + | 0.945599i | \(0.605477\pi\) | |||||||
\(618\) | −6.81882 | − | 1.29301i | −0.274293 | − | 0.0520124i | ||||
\(619\) | 17.6557 | + | 30.5807i | 0.709644 | + | 1.22914i | 0.964989 | + | 0.262290i | \(0.0844777\pi\) |
−0.255345 | + | 0.966850i | \(0.582189\pi\) | |||||||
\(620\) | −10.0451 | + | 29.1032i | −0.403421 | + | 1.16881i | ||||
\(621\) | 1.35169 | − | 7.66580i | 0.0542413 | − | 0.307618i | ||||
\(622\) | 42.4270 | − | 6.91946i | 1.70117 | − | 0.277445i | ||||
\(623\) | 2.19803 | + | 25.1236i | 0.0880624 | + | 1.00656i | ||||
\(624\) | 3.27484 | + | 1.38662i | 0.131099 | + | 0.0555091i | ||||
\(625\) | 0.118814 | − | 24.9997i | 0.00475255 | − | 0.999989i | ||||
\(626\) | 5.63194 | + | 22.1550i | 0.225098 | + | 0.885491i | ||||
\(627\) | −2.88033 | − | 0.162264i | −0.115029 | − | 0.00648020i | ||||
\(628\) | −11.3380 | + | 38.3397i | −0.452436 | + | 1.52992i | ||||
\(629\) | −3.94428 | + | 10.8368i | −0.157269 | + | 0.432092i | ||||
\(630\) | −1.49884 | − | 12.7690i | −0.0597152 | − | 0.508730i | ||||
\(631\) | −9.02797 | + | 10.7591i | −0.359398 | + | 0.428313i | −0.915199 | − | 0.403001i | \(-0.867967\pi\) |
0.555802 | + | 0.831315i | \(0.312411\pi\) | |||||||
\(632\) | 24.4890 | − | 18.9878i | 0.974118 | − | 0.755293i | ||||
\(633\) | −1.62849 | − | 2.32572i | −0.0647266 | − | 0.0924392i | ||||
\(634\) | 1.99116 | − | 7.06618i | 0.0790789 | − | 0.280634i | ||||
\(635\) | 21.5106 | + | 13.7397i | 0.853624 | + | 0.545245i | ||||
\(636\) | 0.884888 | + | 0.782175i | 0.0350881 | + | 0.0310152i | ||||
\(637\) | −9.70103 | − | 4.52367i | −0.384369 | − | 0.179234i | ||||
\(638\) | −5.56652 | − | 0.0716197i | −0.220381 | − | 0.00283545i | ||||
\(639\) | −4.34103 | + | 7.51888i | −0.171728 | + | 0.297442i | ||||
\(640\) | 11.5920 | + | 22.4861i | 0.458215 | + | 0.888841i | ||||
\(641\) | −10.2710 | + | 8.61842i | −0.405681 | + | 0.340407i | −0.822685 | − | 0.568498i | \(-0.807525\pi\) |
0.417003 | + | 0.908905i | \(0.363080\pi\) | |||||||
\(642\) | −4.76790 | + | 1.66623i | −0.188174 | + | 0.0657607i | ||||
\(643\) | 24.4754 | − | 34.9545i | 0.965216 | − | 1.37847i | 0.0399290 | − | 0.999203i | \(-0.487287\pi\) |
0.925287 | − | 0.379268i | \(-0.123824\pi\) | |||||||
\(644\) | 1.38522 | + | 9.24032i | 0.0545852 | + | 0.364119i | ||||
\(645\) | 0.421970 | − | 1.33280i | 0.0166151 | − | 0.0524788i | ||||
\(646\) | −8.79448 | + | 19.7885i | −0.346014 | + | 0.778569i | ||||
\(647\) | 1.41944 | − | 1.41944i | 0.0558038 | − | 0.0558038i | −0.678654 | − | 0.734458i | \(-0.737436\pi\) |
0.734458 | + | 0.678654i | \(0.237436\pi\) | |||||||
\(648\) | 19.6754 | + | 8.03397i | 0.772924 | + | 0.315604i | ||||
\(649\) | −1.21577 | + | 0.214373i | −0.0477231 | + | 0.00841487i | ||||
\(650\) | −13.3877 | + | 7.45968i | −0.525109 | + | 0.292593i | ||||
\(651\) | 2.60624 | + | 3.10600i | 0.102147 | + | 0.121734i | ||||
\(652\) | 40.5658 | + | 20.2026i | 1.58868 | + | 0.791196i | ||||
\(653\) | 2.89127 | + | 10.7904i | 0.113144 | + | 0.422260i | 0.999141 | − | 0.0414306i | \(-0.0131916\pi\) |
−0.885997 | + | 0.463691i | \(0.846525\pi\) | |||||||
\(654\) | −6.84177 | + | 6.66795i | −0.267534 | + | 0.260738i | ||||
\(655\) | 0.598807 | + | 14.0993i | 0.0233973 | + | 0.550906i | ||||
\(656\) | 4.69695 | − | 20.4284i | 0.183385 | − | 0.797596i | ||||
\(657\) | −0.534092 | + | 1.99326i | −0.0208369 | + | 0.0777644i | ||||
\(658\) | 1.42003 | − | 0.795676i | 0.0553587 | − | 0.0310187i | ||||
\(659\) | 6.00184 | − | 34.0381i | 0.233799 | − | 1.32594i | −0.611330 | − | 0.791375i | \(-0.709365\pi\) |
0.845129 | − | 0.534562i | \(-0.179524\pi\) | |||||||
\(660\) | 2.94386 | − | 0.307212i | 0.114590 | − | 0.0119582i | ||||
\(661\) | −6.02515 | − | 5.05570i | −0.234351 | − | 0.196644i | 0.518048 | − | 0.855352i | \(-0.326659\pi\) |
−0.752399 | + | 0.658708i | \(0.771103\pi\) | |||||||
\(662\) | −11.9192 | + | 31.4815i | −0.463253 | + | 1.22356i | ||||
\(663\) | −1.31992 | − | 2.83058i | −0.0512616 | − | 0.109931i | ||||
\(664\) | −24.5188 | − | 26.4884i | −0.951513 | − | 1.02795i | ||||
\(665\) | 10.8433 | − | 8.84600i | 0.420487 | − | 0.343033i | ||||
\(666\) | 3.23900 | + | 12.7416i | 0.125509 | + | 0.493726i | ||||
\(667\) | 7.19507 | − | 3.35512i | 0.278594 | − | 0.129911i | ||||
\(668\) | 2.23077 | − | 19.6577i | 0.0863111 | − | 0.760579i | ||||
\(669\) | −7.24664 | + | 8.63621i | −0.280171 | + | 0.333895i | ||||
\(670\) | 27.5159 | + | 36.9224i | 1.06303 | + | 1.42644i | ||||
\(671\) | −1.50218 | − | 0.264875i | −0.0579911 | − | 0.0102254i | ||||
\(672\) | 3.32473 | + | 0.214166i | 0.128254 | + | 0.00826164i | ||||
\(673\) | 39.4757 | + | 10.5775i | 1.52168 | + | 0.407732i | 0.920293 | − | 0.391230i | \(-0.127950\pi\) |
0.601382 | + | 0.798961i | \(0.294617\pi\) | |||||||
\(674\) | 8.80011 | − | 5.99468i | 0.338968 | − | 0.230906i | ||||
\(675\) | 10.3728 | − | 5.95591i | 0.399249 | − | 0.229243i | ||||
\(676\) | −14.1619 | − | 8.66968i | −0.544689 | − | 0.333449i | ||||
\(677\) | −41.4191 | + | 11.0982i | −1.59186 | + | 0.426539i | −0.942573 | − | 0.334000i | \(-0.891601\pi\) |
−0.649292 | + | 0.760539i | \(0.724935\pi\) | |||||||
\(678\) | −5.54402 | − | 4.77487i | −0.212917 | − | 0.183378i | ||||
\(679\) | −1.79908 | + | 1.50960i | −0.0690422 | + | 0.0579333i | ||||
\(680\) | 5.66762 | − | 21.4822i | 0.217343 | − | 0.823807i | ||||
\(681\) | 0.139332 | + | 0.790194i | 0.00533923 | + | 0.0302803i | ||||
\(682\) | 12.1622 | − | 9.94152i | 0.465716 | − | 0.380680i | ||||
\(683\) | 1.37971 | + | 1.37971i | 0.0527929 | + | 0.0527929i | 0.733010 | − | 0.680217i | \(-0.238115\pi\) |
−0.680217 | + | 0.733010i | \(0.738115\pi\) | |||||||
\(684\) | 4.41457 | + | 24.2885i | 0.168795 | + | 0.928695i | ||||
\(685\) | −16.0756 | − | 30.9708i | −0.614218 | − | 1.18333i | ||||
\(686\) | −24.1194 | − | 2.42322i | −0.920883 | − | 0.0925192i | ||||
\(687\) | 5.08717 | + | 3.56208i | 0.194088 | + | 0.135902i | ||||
\(688\) | −5.38543 | − | 2.85728i | −0.205318 | − | 0.108933i | ||||
\(689\) | 2.00553 | + | 2.39010i | 0.0764046 | + | 0.0910555i | ||||
\(690\) | −3.59142 | + | 2.21765i | −0.136723 | + | 0.0844247i | ||||
\(691\) | −0.893161 | − | 0.515667i | −0.0339774 | − | 0.0196169i | 0.482915 | − | 0.875667i | \(-0.339578\pi\) |
−0.516893 | + | 0.856050i | \(0.672911\pi\) | |||||||
\(692\) | −5.55787 | − | 23.1045i | −0.211278 | − | 0.878300i | ||||
\(693\) | −2.77222 | + | 5.94505i | −0.105308 | + | 0.225834i | ||||
\(694\) | 6.33079 | + | 9.29353i | 0.240314 | + | 0.352778i | ||||
\(695\) | 1.56006 | + | 7.07674i | 0.0591763 | + | 0.268436i | ||||
\(696\) | −0.626601 | − | 2.76054i | −0.0237512 | − | 0.104638i | ||||
\(697\) | −15.0795 | + | 10.5588i | −0.571177 | + | 0.399942i | ||||
\(698\) | 38.5966 | − | 6.29475i | 1.46090 | − | 0.238260i | ||||
\(699\) | −8.44432 | − | 7.08562i | −0.319393 | − | 0.268003i | ||||
\(700\) | −9.53425 | + | 10.7347i | −0.360361 | + | 0.405735i | ||||
\(701\) | −15.2061 | − | 5.53457i | −0.574327 | − | 0.209038i | 0.0384952 | − | 0.999259i | \(-0.487744\pi\) |
−0.612822 | + | 0.790221i | \(0.709966\pi\) | |||||||
\(702\) | −6.30243 | − | 3.74763i | −0.237870 | − | 0.141445i | ||||
\(703\) | −9.80011 | + | 10.4272i | −0.369618 | + | 0.393268i | ||||
\(704\) | 0.995371 | − | 12.8690i | 0.0375144 | − | 0.485019i | ||||
\(705\) | 0.582849 | + | 0.448337i | 0.0219514 | + | 0.0168853i | ||||
\(706\) | 3.88117 | − | 1.74939i | 0.146070 | − | 0.0658390i | ||||
\(707\) | 3.15262 | − | 0.275818i | 0.118566 | − | 0.0103732i | ||||
\(708\) | −0.250571 | − | 0.575566i | −0.00941703 | − | 0.0216311i | ||||
\(709\) | 42.2175 | + | 7.44408i | 1.58551 | + | 0.279568i | 0.895780 | − | 0.444498i | \(-0.146618\pi\) |
0.689730 | + | 0.724066i | \(0.257729\pi\) | |||||||
\(710\) | 9.49424 | − | 1.96526i | 0.356313 | − | 0.0737550i | ||||
\(711\) | −26.8676 | + | 15.5120i | −1.00761 | + | 0.581745i | ||||
\(712\) | 15.1784 | + | 47.3074i | 0.568833 | + | 1.77292i | ||||
\(713\) | −9.46716 | + | 20.3024i | −0.354548 | + | 0.760331i | ||||
\(714\) | −2.04213 | − | 2.09536i | −0.0764247 | − | 0.0784169i | ||||
\(715\) | 7.81150 | + | 0.350357i | 0.292134 | + | 0.0131026i | ||||
\(716\) | −31.7875 | + | 10.6518i | −1.18795 | + | 0.398077i | ||||
\(717\) | 0.942843 | + | 0.0824881i | 0.0352111 | + | 0.00308057i | ||||
\(718\) | 36.9691 | − | 12.9195i | 1.37968 | − | 0.482152i | ||||
\(719\) | 2.49948 | + | 14.1753i | 0.0932150 | + | 0.528649i | 0.995280 | + | 0.0970478i | \(0.0309400\pi\) |
−0.902065 | + | 0.431601i | \(0.857949\pi\) | |||||||
\(720\) | −8.44766 | − | 23.8775i | −0.314826 | − | 0.889860i | ||||
\(721\) | −17.1767 | −0.639693 | ||||||||
\(722\) | −19.7109 | + | 18.2615i | −0.733562 | + | 0.679622i | ||||
\(723\) | 0.289840 | + | 0.289840i | 0.0107793 | + | 0.0107793i | ||||
\(724\) | 6.79868 | + | 45.3517i | 0.252671 | + | 1.68548i | ||||
\(725\) | 11.0438 | + | 5.18178i | 0.410155 | + | 0.192447i | ||||
\(726\) | 4.38794 | + | 2.11528i | 0.162852 | + | 0.0785053i | ||||
\(727\) | 2.57770 | − | 29.4632i | 0.0956015 | − | 1.09273i | −0.785199 | − | 0.619243i | \(-0.787439\pi\) |
0.880801 | − | 0.473487i | \(-0.157005\pi\) | |||||||
\(728\) | 8.60238 | + | 1.86169i | 0.318826 | + | 0.0689990i | ||||
\(729\) | −15.8772 | − | 9.16669i | −0.588043 | − | 0.339507i | ||||
\(730\) | 2.05883 | − | 1.03525i | 0.0762006 | − | 0.0383162i | ||||
\(731\) | 1.83118 | + | 5.03113i | 0.0677287 | + | 0.186083i | ||||
\(732\) | −0.0476987 | − | 0.774161i | −0.00176299 | − | 0.0286138i | ||||
\(733\) | 19.0542 | + | 5.10556i | 0.703784 | + | 0.188578i | 0.592925 | − | 0.805258i | \(-0.297973\pi\) |
0.110859 | + | 0.993836i | \(0.464640\pi\) | |||||||
\(734\) | 8.24316 | + | 2.32281i | 0.304261 | + | 0.0857366i | ||||
\(735\) | −1.35705 | − | 4.32192i | −0.0500557 | − | 0.159417i | ||||
\(736\) | 6.69061 | + | 17.1479i | 0.246619 | + | 0.632078i | ||||
\(737\) | −2.04764 | − | 23.4047i | −0.0754259 | − | 0.862122i | ||||
\(738\) | −7.43071 | + | 19.6263i | −0.273528 | + | 0.722455i | ||||
\(739\) | −31.1961 | − | 11.3545i | −1.14757 | − | 0.417680i | −0.302926 | − | 0.953014i | \(-0.597964\pi\) |
−0.844641 | + | 0.535334i | \(0.820186\pi\) | |||||||
\(740\) | 8.21876 | − | 12.1654i | 0.302128 | − | 0.447209i | ||||
\(741\) | −0.120082 | − | 3.87353i | −0.00441134 | − | 0.142298i | ||||
\(742\) | 2.51232 | + | 1.49391i | 0.0922303 | + | 0.0548432i | ||||
\(743\) | −14.9358 | − | 32.0299i | −0.547940 | − | 1.17506i | −0.964044 | − | 0.265744i | \(-0.914382\pi\) |
0.416103 | − | 0.909317i | \(-0.363395\pi\) | |||||||
\(744\) | 6.36138 | + | 4.83055i | 0.233220 | + | 0.177096i | ||||
\(745\) | −17.1521 | + | 10.8985i | −0.628404 | + | 0.399289i | ||||
\(746\) | −10.8409 | − | 7.80064i | −0.396914 | − | 0.285602i | ||||
\(747\) | 20.7271 | + | 29.6014i | 0.758365 | + | 1.08306i | ||||
\(748\) | −8.21900 | + | 7.80656i | −0.300516 | + | 0.285436i | ||||
\(749\) | −10.8253 | + | 6.24996i | −0.395546 | + | 0.228369i | ||||
\(750\) | −6.15288 | − | 2.05173i | −0.224671 | − | 0.0749184i | ||||
\(751\) | 13.9080 | + | 38.2118i | 0.507509 | + | 1.39437i | 0.883799 | + | 0.467867i | \(0.154977\pi\) |
−0.376290 | + | 0.926502i | \(0.622801\pi\) | |||||||
\(752\) | 2.38111 | − | 2.14783i | 0.0868301 | − | 0.0783235i | ||||
\(753\) | 1.76776 | + | 6.59737i | 0.0644207 | + | 0.240421i | ||||
\(754\) | −0.555883 | − | 7.45765i | −0.0202441 | − | 0.271591i | ||||
\(755\) | −15.0129 | − | 36.3665i | −0.546376 | − | 1.32351i | ||||
\(756\) | −6.73195 | − | 1.36648i | −0.244839 | − | 0.0496985i | ||||
\(757\) | −28.2375 | + | 40.3273i | −1.02631 | + | 1.46572i | −0.147194 | + | 0.989108i | \(0.547024\pi\) |
−0.879114 | + | 0.476612i | \(0.841865\pi\) | |||||||
\(758\) | −16.6075 | + | 13.5751i | −0.603213 | + | 0.493072i | ||||
\(759\) | 2.15357 | 0.0781696 | ||||||||
\(760\) | 16.9741 | − | 21.7228i | 0.615714 | − | 0.787970i | ||||
\(761\) | 23.2191 | 0.841693 | 0.420847 | − | 0.907132i | \(-0.361733\pi\) | ||||
0.420847 | + | 0.907132i | \(0.361733\pi\) | |||||||
\(762\) | 5.12706 | − | 4.19090i | 0.185734 | − | 0.151820i | ||||
\(763\) | −13.5618 | + | 19.3683i | −0.490971 | + | 0.701179i | ||||
\(764\) | −43.0855 | − | 8.74571i | −1.55878 | − | 0.316409i | ||||
\(765\) | −8.53653 | + | 20.5400i | −0.308639 | + | 0.742624i | ||||
\(766\) | 1.15975 | + | 15.5590i | 0.0419034 | + | 0.562171i | ||||
\(767\) | −0.429221 | − | 1.60187i | −0.0154983 | − | 0.0578403i | ||||
\(768\) | 6.48066 | − | 1.03837i | 0.233851 | − | 0.0374690i | ||||
\(769\) | −0.971250 | − | 2.66849i | −0.0350242 | − | 0.0962281i | 0.920948 | − | 0.389686i | \(-0.127416\pi\) |
−0.955972 | + | 0.293457i | \(0.905194\pi\) | |||||||
\(770\) | 7.01657 | − | 2.10438i | 0.252860 | − | 0.0758365i | ||||
\(771\) | 6.89905 | − | 3.98317i | 0.248463 | − | 0.143450i | ||||
\(772\) | −34.5070 | + | 32.7754i | −1.24193 | + | 1.17961i | ||||
\(773\) | 10.3901 | + | 14.8387i | 0.373707 | + | 0.533710i | 0.961320 | − | 0.275433i | \(-0.0888211\pi\) |
−0.587613 | + | 0.809142i | \(0.699932\pi\) | |||||||
\(774\) | 4.95432 | + | 3.56491i | 0.178079 | + | 0.128138i | ||||
\(775\) | −33.2702 | + | 8.83004i | −1.19510 | + | 0.317184i | ||||
\(776\) | −2.79798 | + | 3.68467i | −0.100442 | + | 0.132272i | ||||
\(777\) | −0.817116 | − | 1.75231i | −0.0293139 | − | 0.0628638i | ||||
\(778\) | −17.4998 | − | 10.4060i | −0.627398 | − | 0.373072i | ||||
\(779\) | −22.3615 | + | 4.66163i | −0.801183 | + | 0.167020i | ||||
\(780\) | 0.755785 | + | 3.90358i | 0.0270614 | + | 0.139770i | ||||
\(781\) | −4.64844 | − | 1.69189i | −0.166334 | − | 0.0605407i | ||||
\(782\) | 5.72380 | − | 15.1179i | 0.204683 | − | 0.540617i | ||||
\(783\) | 0.508688 | + | 5.81433i | 0.0181790 | + | 0.207787i | ||||
\(784\) | −19.6051 | + | 2.42508i | −0.700183 | + | 0.0866100i | ||||
\(785\) | −42.6472 | + | 13.3909i | −1.52214 | + | 0.477943i | ||||
\(786\) | 3.52396 | + | 0.993005i | 0.125695 | + | 0.0354193i | ||||
\(787\) | 31.2109 | + | 8.36294i | 1.11255 | + | 0.298107i | 0.767865 | − | 0.640612i | \(-0.221319\pi\) |
0.344684 | + | 0.938719i | \(0.387986\pi\) | |||||||
\(788\) | −1.37261 | − | 22.2778i | −0.0488973 | − | 0.793615i | ||||
\(789\) | −4.14891 | − | 11.3990i | −0.147705 | − | 0.405817i | ||||
\(790\) | 32.8923 | + | 10.8814i | 1.17025 | + | 0.387143i | ||||
\(791\) | −15.6823 | − | 9.05421i | −0.557600 | − | 0.321930i | ||||
\(792\) | −2.73336 | + | 12.6301i | −0.0971259 | + | 0.448792i | ||||
\(793\) | 0.178588 | − | 2.04127i | 0.00634184 | − | 0.0724876i | ||||
\(794\) | 17.0235 | + | 8.20643i | 0.604140 | + | 0.291235i | ||||
\(795\) | −0.173906 | + | 1.30893i | −0.00616780 | + | 0.0464228i | ||||
\(796\) | −3.13948 | − | 20.9424i | −0.111276 | − | 0.742284i | ||||
\(797\) | −6.03551 | − | 6.03551i | −0.213789 | − | 0.213789i | 0.592086 | − | 0.805875i | \(-0.298305\pi\) |
−0.805875 | + | 0.592086i | \(0.798305\pi\) | |||||||
\(798\) | −1.30335 | − | 3.38854i | −0.0461382 | − | 0.119953i | ||||
\(799\) | −2.81617 | −0.0996289 | ||||||||
\(800\) | −13.6355 | + | 24.7805i | −0.482087 | + | 0.876123i | ||||
\(801\) | −8.63740 | − | 48.9851i | −0.305187 | − | 1.73080i | ||||
\(802\) | 38.2130 | − | 13.3542i | 1.34935 | − | 0.471554i | ||||
\(803\) | −1.17129 | − | 0.102474i | −0.0413338 | − | 0.00361624i | ||||
\(804\) | 11.3275 | − | 3.79577i | 0.399489 | − | 0.133867i | ||||
\(805\) | −7.71029 | + | 7.04835i | −0.271752 | + | 0.248422i | ||||
\(806\) | 14.7279 | + | 15.1119i | 0.518770 | + | 0.532293i | ||||
\(807\) | −1.91678 | + | 4.11055i | −0.0674740 | + | 0.144698i | ||||
\(808\) | 5.93633 | − | 1.90464i | 0.208839 | − | 0.0670052i | ||||
\(809\) | −27.1152 | + | 15.6549i | −0.953319 | + | 0.550399i | −0.894110 | − | 0.447847i | \(-0.852191\pi\) |
−0.0592083 | + | 0.998246i | \(0.518858\pi\) | |||||||
\(810\) | 4.81631 | + | 23.2677i | 0.169228 | + | 0.817545i | ||||
\(811\) | 15.3524 | + | 2.70704i | 0.539095 | + | 0.0950569i | 0.436564 | − | 0.899673i | \(-0.356195\pi\) |
0.102530 | + | 0.994730i | \(0.467306\pi\) | |||||||
\(812\) | −2.79647 | − | 6.42355i | −0.0981368 | − | 0.225422i | ||||
\(813\) | 8.74962 | − | 0.765493i | 0.306863 | − | 0.0268470i | ||||
\(814\) | −6.82900 | + | 3.07809i | −0.239356 | + | 0.107887i | ||||
\(815\) | 6.55370 | + | 50.2415i | 0.229566 | + | 1.75988i | ||||
\(816\) | −4.83692 | − | 3.13496i | −0.169326 | − | 0.109746i | ||||
\(817\) | −0.373669 | + | 6.63296i | −0.0130730 | + | 0.232058i | ||||
\(818\) | 34.0548 | + | 20.2501i | 1.19070 | + | 0.708028i | ||||
\(819\) | −8.28039 | − | 3.01382i | −0.289340 | − | 0.105311i | ||||
\(820\) | 21.8852 | − | 8.38239i | 0.764265 | − | 0.292726i | ||||
\(821\) | 12.0645 | + | 10.1233i | 0.421055 | + | 0.353307i | 0.828564 | − | 0.559894i | \(-0.189158\pi\) |
−0.407509 | + | 0.913201i | \(0.633603\pi\) | |||||||
\(822\) | −8.93487 | + | 1.45720i | −0.311639 | + | 0.0508255i | ||||
\(823\) | 30.4333 | − | 21.3096i | 1.06084 | − | 0.742806i | 0.0933264 | − | 0.995636i | \(-0.470250\pi\) |
0.967511 | + | 0.252829i | \(0.0813611\pi\) | |||||||
\(824\) | −32.9987 | + | 7.49022i | −1.14957 | + | 0.260934i | ||||
\(825\) | 2.12109 | + | 2.54005i | 0.0738468 | + | 0.0884331i | ||||
\(826\) | −0.874667 | − | 1.28400i | −0.0304336 | − | 0.0446761i | ||||
\(827\) | −11.3226 | + | 24.2814i | −0.393725 | + | 0.844346i | 0.605112 | + | 0.796140i | \(0.293128\pi\) |
−0.998837 | + | 0.0482062i | \(0.984650\pi\) | |||||||
\(828\) | −4.31006 | − | 17.9173i | −0.149785 | − | 0.622668i | ||||
\(829\) | 1.82415 | + | 1.05318i | 0.0633555 | + | 0.0365783i | 0.531343 | − | 0.847157i | \(-0.321687\pi\) |
−0.467988 | + | 0.883735i | \(0.655021\pi\) | |||||||
\(830\) | 9.28718 | − | 39.2716i | 0.322363 | − | 1.36314i | ||||
\(831\) | −1.46796 | − | 1.74945i | −0.0509230 | − | 0.0606877i | ||||
\(832\) | 17.3382 | − | 0.174668i | 0.601093 | − | 0.00605552i | ||||
\(833\) | 14.2113 | + | 9.95083i | 0.492391 | + | 0.344776i | ||||
\(834\) | 1.87064 | + | 0.187939i | 0.0647749 | + | 0.00650780i | ||||
\(835\) | 19.6319 | − | 10.1901i | 0.679391 | − | 0.352643i | ||||
\(836\) | −13.1918 | + | 4.88016i | −0.456249 | + | 0.168784i | ||||
\(837\) | −11.6453 | − | 11.6453i | −0.402522 | − | 0.402522i | ||||
\(838\) | −28.8179 | + | 23.5560i | −0.995497 | + | 0.813728i | ||||
\(839\) | 1.12548 | + | 6.38292i | 0.0388559 | + | 0.220363i | 0.998053 | − | 0.0623765i | \(-0.0198680\pi\) |
−0.959197 | + | 0.282739i | \(0.908757\pi\) | |||||||
\(840\) | 1.87484 | + | 3.21864i | 0.0646880 | + | 0.111054i | ||||
\(841\) | 17.6553 | − | 14.8146i | 0.608804 | − | 0.510847i | ||||
\(842\) | 24.3752 | + | 20.9935i | 0.840024 | + | 0.723482i | ||||
\(843\) | −0.396801 | + | 0.106322i | −0.0136666 | + | 0.00366194i | ||||
\(844\) | −11.8061 | − | 7.22748i | −0.406382 | − | 0.248780i | ||||
\(845\) | −0.787750 | − | 18.5481i | −0.0270994 | − | 0.638075i | ||||
\(846\) | −2.65331 | + | 1.80744i | −0.0912226 | + | 0.0621412i | ||||
\(847\) | 11.6449 | + | 3.12025i | 0.400125 | + | 0.107213i | ||||
\(848\) | 5.47796 | + | 1.77446i | 0.188114 | + | 0.0609352i | ||||
\(849\) | 5.10257 | + | 0.899721i | 0.175120 | + | 0.0308783i | ||||
\(850\) | 23.4685 | − | 8.13894i | 0.804962 | − | 0.279163i | ||||
\(851\) | 6.86636 | − | 8.18301i | 0.235376 | − | 0.280510i | ||||
\(852\) | 0.283627 | − | 2.49934i | 0.00971690 | − | 0.0856260i | ||||
\(853\) | −34.5133 | + | 16.0938i | −1.18171 | + | 0.551041i | −0.911316 | − | 0.411708i | \(-0.864932\pi\) |
−0.270396 | + | 0.962749i | \(0.587155\pi\) | |||||||
\(854\) | −0.472936 | − | 1.86044i | −0.0161836 | − | 0.0636630i | ||||
\(855\) | −19.7844 | + | 19.2446i | −0.676612 | + | 0.658150i | ||||
\(856\) | −18.0714 | + | 16.7276i | −0.617667 | + | 0.571737i | ||||
\(857\) | −17.4489 | − | 37.4194i | −0.596044 | − | 1.27822i | −0.940620 | − | 0.339463i | \(-0.889755\pi\) |
0.344575 | − | 0.938759i | \(-0.388023\pi\) | |||||||
\(858\) | 0.718302 | − | 1.89721i | 0.0245224 | − | 0.0647697i | ||||
\(859\) | 43.7495 | + | 36.7102i | 1.49271 | + | 1.25253i | 0.891151 | + | 0.453708i | \(0.149899\pi\) |
0.601562 | + | 0.798826i | \(0.294545\pi\) | |||||||
\(860\) | −0.707462 | − | 6.77925i | −0.0241243 | − | 0.231170i | ||||
\(861\) | 0.535935 | − | 3.03944i | 0.0182646 | − | 0.103584i | ||||
\(862\) | 1.51892 | − | 0.851083i | 0.0517346 | − | 0.0289880i | ||||
\(863\) | −0.793731 | + | 2.96224i | −0.0270189 | + | 0.100836i | −0.978119 | − | 0.208048i | \(-0.933289\pi\) |
0.951100 | + | 0.308884i | \(0.0999556\pi\) | |||||||
\(864\) | −13.5289 | + | 0.310397i | −0.460262 | + | 0.0105599i | ||||
\(865\) | 17.9726 | − | 19.5670i | 0.611088 | − | 0.665297i | ||||
\(866\) | 7.93474 | − | 7.73315i | 0.269633 | − | 0.262783i | ||||
\(867\) | −0.494726 | − | 1.84634i | −0.0168018 | − | 0.0627051i | ||||
\(868\) | 17.6955 | + | 8.81272i | 0.600624 | + | 0.299123i | ||||
\(869\) | −11.3622 | − | 13.5410i | −0.385438 | − | 0.459347i | ||||
\(870\) | 2.17075 | − | 2.30312i | 0.0735952 | − | 0.0780831i | ||||
\(871\) | 31.0810 | − | 5.48041i | 1.05314 | − | 0.185697i | ||||
\(872\) | −17.6082 | + | 43.1230i | −0.596288 | + | 1.46033i | ||||
\(873\) | 3.27533 | − | 3.27533i | 0.110853 | − | 0.110853i | ||||
\(874\) | 13.9241 | − | 14.4382i | 0.470988 | − | 0.488379i | ||||
\(875\) | −15.9072 | − | 2.15194i | −0.537763 | − | 0.0727488i | ||||
\(876\) | −0.0886353 | − | 0.591256i | −0.00299471 | − | 0.0199767i | ||||
\(877\) | 4.52838 | − | 6.46719i | 0.152912 | − | 0.218382i | −0.735386 | − | 0.677649i | \(-0.762999\pi\) |
0.888298 | + | 0.459267i | \(0.151888\pi\) | |||||||
\(878\) | −37.1546 | + | 12.9843i | −1.25391 | + | 0.438199i | ||||
\(879\) | −3.29999 | + | 2.76902i | −0.111306 | + | 0.0933967i | ||||
\(880\) | 12.5621 | − | 7.10251i | 0.423470 | − | 0.239425i | ||||
\(881\) | 8.27276 | − | 14.3288i | 0.278716 | − | 0.482751i | −0.692350 | − | 0.721562i | \(-0.743424\pi\) |
0.971066 | + | 0.238811i | \(0.0767577\pi\) | |||||||
\(882\) | 19.7760 | + | 0.254440i | 0.665891 | + | 0.00856745i | ||||
\(883\) | 27.2272 | + | 12.6962i | 0.916267 | + | 0.427263i | 0.822781 | − | 0.568358i | \(-0.192421\pi\) |
0.0934861 | + | 0.995621i | \(0.470199\pi\) | |||||||
\(884\) | −11.4092 | − | 10.0849i | −0.383733 | − | 0.339191i | ||||
\(885\) | 0.377801 | − | 0.591477i | 0.0126996 | − | 0.0198823i | ||||
\(886\) | 4.19565 | − | 14.8895i | 0.140956 | − | 0.500221i | ||||
\(887\) | 6.19964 | + | 8.85400i | 0.208163 | + | 0.297288i | 0.909634 | − | 0.415410i | \(-0.136362\pi\) |
−0.701471 | + | 0.712698i | \(0.747473\pi\) | |||||||
\(888\) | −2.33392 | − | 3.01011i | −0.0783212 | − | 0.101013i | ||||
\(889\) | 10.5345 | − | 12.5545i | 0.353315 | − | 0.421065i | ||||
\(890\) | −34.4308 | + | 43.5889i | −1.15412 | + | 1.46110i | ||||
\(891\) | 4.14636 | − | 11.3920i | 0.138908 | − | 0.381647i | ||||
\(892\) | −15.5876 | + | 52.7097i | −0.521911 | + | 1.76485i | ||||
\(893\) | −3.21125 | − | 1.37796i | −0.107460 | − | 0.0461117i | ||||
\(894\) | 1.29892 | + | 5.10970i | 0.0434424 | + | 0.170894i | ||||
\(895\) | −29.7091 | − | 22.8528i | −0.993067 | − | 0.763884i | ||||
\(896\) | 15.2795 | − | 5.51301i | 0.510451 | − | 0.184177i | ||||
\(897\) | 0.252139 | + | 2.88196i | 0.00841867 | + | 0.0962259i | ||||
\(898\) | 20.9105 | − | 3.41031i | 0.697791 | − | 0.113803i | ||||
\(899\) | 2.91670 | − | 16.5414i | 0.0972773 | − | 0.551687i | ||||
\(900\) | 16.8876 | − | 22.7306i | 0.562920 | − | 0.757685i | ||||
\(901\) | −2.52847 | − | 4.37944i | −0.0842356 | − | 0.145900i | ||||
\(902\) | −11.7478 | − | 2.22765i | −0.391158 | − | 0.0741727i | ||||
\(903\) | −0.813533 | − | 0.379357i | −0.0270727 | − | 0.0126242i | ||||
\(904\) | −34.0762 | − | 10.5558i | −1.13336 | − | 0.351080i | ||||
\(905\) | −37.8423 | + | 34.5935i | −1.25792 | + | 1.14993i | ||||
\(906\) | −10.1790 | + | 0.758726i | −0.338173 | + | 0.0252070i | ||||
\(907\) | −4.05138 | + | 46.3075i | −0.134524 | + | 1.53762i | 0.566251 | + | 0.824233i | \(0.308393\pi\) |
−0.700775 | + | 0.713383i | \(0.747162\pi\) | |||||||
\(908\) | 2.16069 | + | 3.26126i | 0.0717050 | + | 0.108229i | ||||
\(909\) | −6.14685 | + | 1.08386i | −0.203878 | + | 0.0359492i | ||||
\(910\) | 3.63763 | + | 9.14337i | 0.120586 | + | 0.303100i | ||||
\(911\) | 14.0582i | 0.465770i | 0.972504 | + | 0.232885i | \(0.0748166\pi\) | ||||
−0.972504 | + | 0.232885i | \(0.925183\pi\) | |||||||
\(912\) | −3.98155 | − | 5.94149i | −0.131842 | − | 0.196742i | ||||
\(913\) | −14.5590 | + | 14.5590i | −0.481832 | + | 0.481832i | ||||
\(914\) | 8.50600 | + | 0.854580i | 0.281353 | + | 0.0282670i | ||||
\(915\) | 0.688607 | − | 0.527088i | 0.0227646 | − | 0.0174250i | ||||
\(916\) | 29.6736 | + | 6.02330i | 0.980445 | + | 0.199015i | ||||
\(917\) | 9.02665 | + | 0.789729i | 0.298086 | + | 0.0260792i | ||||
\(918\) | 9.00495 | + | 7.75564i | 0.297208 | + | 0.255974i | ||||
\(919\) | 11.6714 | − | 20.2155i | 0.385005 | − | 0.666848i | −0.606765 | − | 0.794881i | \(-0.707533\pi\) |
0.991770 | + | 0.128033i | \(0.0408665\pi\) | |||||||
\(920\) | −11.7390 | + | 16.9031i | −0.387022 | + | 0.557277i | ||||
\(921\) | −2.65867 | + | 0.967675i | −0.0876060 | + | 0.0318860i | ||||
\(922\) | 3.63299 | − | 19.1590i | 0.119646 | − | 0.630968i | ||||
\(923\) | 1.71990 | − | 6.41874i | 0.0566111 | − | 0.211275i | ||||
\(924\) | 0.0488954 | − | 1.89984i | 0.00160854 | − | 0.0625003i | ||||
\(925\) | 16.4143 | + | 0.0390052i | 0.539700 | + | 0.00128248i | ||||
\(926\) | −14.5224 | + | 20.1824i | −0.477235 | + | 0.663236i | ||||
\(927\) | 33.7487 | − | 2.95263i | 1.10845 | − | 0.0969772i | ||||
\(928\) | −8.17351 | − | 11.1211i | −0.268309 | − | 0.365067i | ||||
\(929\) | 1.86991 | − | 5.13755i | 0.0613499 | − | 0.168557i | −0.905231 | − | 0.424920i | \(-0.860302\pi\) |
0.966581 | + | 0.256363i | \(0.0825243\pi\) | |||||||
\(930\) | −0.514879 | + | 8.91552i | −0.0168836 | + | 0.292352i | ||||
\(931\) | 11.3360 | + | 18.3005i | 0.371522 | + | 0.599773i | ||||
\(932\) | −51.5385 | − | 15.2412i | −1.68820 | − | 0.499243i | ||||
\(933\) | 11.3007 | − | 5.26962i | 0.369970 | − | 0.172520i | ||||
\(934\) | −48.2074 | + | 21.7289i | −1.57740 | + | 0.710991i | ||||
\(935\) | −12.3698 | − | 2.75775i | −0.404537 | − | 0.0901880i | ||||
\(936\) | −17.2220 | − | 2.17913i | −0.562918 | − | 0.0712270i | ||||
\(937\) | 14.3956 | − | 10.0799i | 0.470285 | − | 0.329297i | −0.314294 | − | 0.949326i | \(-0.601768\pi\) |
0.784579 | + | 0.620028i | \(0.212879\pi\) | |||||||
\(938\) | 25.7934 | − | 14.4526i | 0.842186 | − | 0.471895i | ||||
\(939\) | 3.31533 | + | 5.74233i | 0.108192 | + | 0.187394i | ||||
\(940\) | 3.47805 | + | 0.869907i | 0.113442 | + | 0.0283732i | ||||
\(941\) | 12.4278 | − | 4.52334i | 0.405134 | − | 0.147457i | −0.131412 | − | 0.991328i | \(-0.541951\pi\) |
0.536546 | + | 0.843871i | \(0.319729\pi\) | |||||||
\(942\) | −0.149195 | + | 11.5960i | −0.00486104 | + | 0.377816i | ||||
\(943\) | 16.4706 | − | 4.41329i | 0.536357 | − | 0.143716i | ||||
\(944\) | −2.24027 | − | 2.08532i | −0.0729145 | − | 0.0678715i | ||||
\(945\) | −2.93059 | − | 7.09892i | −0.0953322 | − | 0.230928i | ||||
\(946\) | −1.51014 | + | 3.13264i | −0.0490989 | + | 0.101851i | ||||
\(947\) | −31.6519 | − | 22.1629i | −1.02855 | − | 0.720198i | −0.0678237 | − | 0.997697i | \(-0.521606\pi\) |
−0.960726 | + | 0.277499i | \(0.910494\pi\) | |||||||
\(948\) | 5.34322 | − | 7.22774i | 0.173540 | − | 0.234746i | ||||
\(949\) | − | 1.57944i | − | 0.0512708i | ||||||
\(950\) | 30.7433 | + | 2.20243i | 0.997444 | + | 0.0714564i | ||||
\(951\) | − | 2.12944i | − | 0.0690518i | ||||||
\(952\) | −13.2068 | − | 5.39268i | −0.428036 | − | 0.174778i | ||||
\(953\) | 27.0637 | + | 18.9502i | 0.876681 | + | 0.613859i | 0.922886 | − | 0.385073i | \(-0.125824\pi\) |
−0.0462051 | + | 0.998932i | \(0.514713\pi\) | |||||||
\(954\) | −5.19301 | − | 2.50338i | −0.168130 | − | 0.0810498i | ||||
\(955\) | −18.7563 | − | 45.4342i | −0.606938 | − | 1.47022i | ||||
\(956\) | 4.37535 | − | 1.46616i | 0.141509 | − | 0.0474189i | ||||
\(957\) | −1.55974 | + | 0.417931i | −0.0504192 | + | 0.0135098i | ||||
\(958\) | 57.2987 | + | 0.737213i | 1.85124 | + | 0.0238183i | ||||
\(959\) | −21.0540 | + | 7.66301i | −0.679868 | + | 0.247452i | ||||
\(960\) | 5.00537 | + | 5.36589i | 0.161547 | + | 0.173183i | ||||
\(961\) | 8.19752 | + | 14.1985i | 0.264436 | + | 0.458017i | ||||
\(962\) | −4.91871 | − | 8.77836i | −0.158586 | − | 0.283026i | ||||
\(963\) | 20.1951 | − | 14.1408i | 0.650778 | − | 0.455680i | ||||
\(964\) | 1.85975 | + | 0.731611i | 0.0598986 | + | 0.0235636i | ||||
\(965\) | −51.9340 | − | 11.5782i | −1.67182 | − | 0.372717i | ||||
\(966\) | 1.11368 | + | 2.47081i | 0.0358322 | + | 0.0794969i | ||||
\(967\) | −33.2632 | + | 15.5109i | −1.06967 | + | 0.498797i | −0.876021 | − | 0.482273i | \(-0.839811\pi\) |
−0.193653 | + | 0.981070i | \(0.562033\pi\) | |||||||
\(968\) | 23.7322 | + | 0.916429i | 0.762780 | + | 0.0294551i | ||||
\(969\) | −0.898522 | + | 6.21659i | −0.0288647 | + | 0.199706i | ||||
\(970\) | −5.16410 | − | 0.298231i | −0.165809 | − | 0.00957563i | ||||
\(971\) | 11.1782 | − | 30.7119i | 0.358726 | − | 0.985590i | −0.620747 | − | 0.784011i | \(-0.713170\pi\) |
0.979472 | − | 0.201579i | \(-0.0646073\pi\) | |||||||
\(972\) | 20.3870 | + | 2.31353i | 0.653912 | + | 0.0742064i | ||||
\(973\) | 4.63526 | − | 0.405533i | 0.148600 | − | 0.0130008i | ||||
\(974\) | −17.0451 | − | 12.2649i | −0.546159 | − | 0.392992i | ||||
\(975\) | −3.15082 | + | 3.13588i | −0.100907 | + | 0.100429i | ||||
\(976\) | −1.71986 | − | 3.36793i | −0.0550513 | − | 0.107805i | ||||
\(977\) | 7.75798 | − | 28.9532i | 0.248200 | − | 0.926294i | −0.723548 | − | 0.690274i | \(-0.757490\pi\) |
0.971748 | − | 0.236020i | \(-0.0758432\pi\) | |||||||
\(978\) | 12.9148 | + | 2.44896i | 0.412971 | + | 0.0783090i | ||||
\(979\) | 26.6316 | − | 9.69311i | 0.851149 | − | 0.309793i | ||||
\(980\) | −14.4776 | − | 16.6794i | −0.462468 | − | 0.532804i | ||||
\(981\) | 23.3169 | − | 40.3861i | 0.744451 | − | 1.28943i | ||||
\(982\) | 32.4212 | − | 37.6438i | 1.03460 | − | 1.20126i | ||||
\(983\) | −0.227564 | − | 0.0199093i | −0.00725817 | − | 0.000635008i | 0.0835261 | − | 0.996506i | \(-0.473382\pi\) |
−0.0907843 | + | 0.995871i | \(0.528937\pi\) | |||||||
\(984\) | −0.295802 | − | 6.07288i | −0.00942981 | − | 0.193596i | ||||
\(985\) | 19.8159 | − | 15.1679i | 0.631386 | − | 0.483289i | ||||
\(986\) | −1.21165 | + | 12.0601i | −0.0385868 | + | 0.384071i | ||||
\(987\) | 0.333859 | − | 0.333859i | 0.0106269 | − | 0.0106269i | ||||
\(988\) | −8.07525 | − | 17.0823i | −0.256908 | − | 0.543459i | ||||
\(989\) | − | 4.95934i | − | 0.157698i | ||||||
\(990\) | −13.4244 | + | 5.34081i | −0.426656 | + | 0.169742i | ||||
\(991\) | −29.1673 | + | 5.14299i | −0.926531 | + | 0.163372i | −0.616501 | − | 0.787354i | \(-0.711450\pi\) |
−0.310030 | + | 0.950727i | \(0.600339\pi\) | |||||||
\(992\) | 37.8384 | + | 9.21398i | 1.20137 | + | 0.292544i | ||||
\(993\) | −0.850998 | + | 9.72695i | −0.0270056 | + | 0.308676i | ||||
\(994\) | −0.462745 | − | 6.20812i | −0.0146774 | − | 0.196910i | ||||
\(995\) | 17.4747 | − | 15.9745i | 0.553987 | − | 0.506426i | ||||
\(996\) | −8.92923 | − | 5.46632i | −0.282933 | − | 0.173207i | ||||
\(997\) | 18.5717 | + | 8.66013i | 0.588172 | + | 0.274269i | 0.693836 | − | 0.720133i | \(-0.255919\pi\) |
−0.105664 | + | 0.994402i | \(0.533697\pi\) | |||||||
\(998\) | 6.09088 | − | 32.1209i | 0.192803 | − | 1.01677i | ||||
\(999\) | 3.92668 | + | 6.80120i | 0.124235 | + | 0.215180i |
(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 | 380.2.bj.a.327.46 | yes | 672 | |
4.3 | odd | 2 | inner | 380.2.bj.a.327.4 | yes | 672 | |
5.3 | odd | 4 | inner | 380.2.bj.a.23.18 | ✓ | 672 | |
19.5 | even | 9 | inner | 380.2.bj.a.347.33 | yes | 672 | |
20.3 | even | 4 | inner | 380.2.bj.a.23.33 | yes | 672 | |
76.43 | odd | 18 | inner | 380.2.bj.a.347.18 | yes | 672 | |
95.43 | odd | 36 | inner | 380.2.bj.a.43.4 | yes | 672 | |
380.43 | even | 36 | inner | 380.2.bj.a.43.46 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.bj.a.23.18 | ✓ | 672 | 5.3 | odd | 4 | inner | |
380.2.bj.a.23.33 | yes | 672 | 20.3 | even | 4 | inner | |
380.2.bj.a.43.4 | yes | 672 | 95.43 | odd | 36 | inner | |
380.2.bj.a.43.46 | yes | 672 | 380.43 | even | 36 | inner | |
380.2.bj.a.327.4 | yes | 672 | 4.3 | odd | 2 | inner | |
380.2.bj.a.327.46 | yes | 672 | 1.1 | even | 1 | trivial | |
380.2.bj.a.347.18 | yes | 672 | 76.43 | odd | 18 | inner | |
380.2.bj.a.347.33 | yes | 672 | 19.5 | even | 9 | inner |