Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(23,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 33, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.bd (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(2640\) |
Relative dimension: | \(132\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 23.3 | ||
Character | \(\chi\) | \(=\) | 804.23 |
Dual form | 804.2.bd.a.35.3 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{14}{33}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41021 | + | 0.106353i | −0.997168 | + | 0.0752032i | ||||
\(3\) | 0.881313 | + | 1.49107i | 0.508826 | + | 0.860869i | ||||
\(4\) | 1.97738 | − | 0.299961i | 0.988689 | − | 0.149981i | ||||
\(5\) | −1.21127 | + | 0.553168i | −0.541696 | + | 0.247384i | −0.667421 | − | 0.744681i | \(-0.732602\pi\) |
0.125725 | + | 0.992065i | \(0.459874\pi\) | |||||||
\(6\) | −1.40142 | − | 2.00899i | −0.572125 | − | 0.820166i | ||||
\(7\) | −1.08361 | − | 1.13646i | −0.409567 | − | 0.429541i | 0.486349 | − | 0.873764i | \(-0.338328\pi\) |
−0.895916 | + | 0.444223i | \(0.853480\pi\) | |||||||
\(8\) | −2.75661 | + | 0.633309i | −0.974610 | + | 0.223908i | ||||
\(9\) | −1.44658 | + | 2.62820i | −0.482192 | + | 0.876065i | ||||
\(10\) | 1.64931 | − | 0.908906i | 0.521558 | − | 0.287421i | ||||
\(11\) | 1.25029 | + | 0.119389i | 0.376978 | + | 0.0359970i | 0.281825 | − | 0.959466i | \(-0.409060\pi\) |
0.0951524 | + | 0.995463i | \(0.469666\pi\) | |||||||
\(12\) | 2.18995 | + | 2.68405i | 0.632184 | + | 0.774818i | ||||
\(13\) | −0.394523 | − | 0.0760380i | −0.109421 | − | 0.0210892i | 0.134247 | − | 0.990948i | \(-0.457139\pi\) |
−0.243668 | + | 0.969859i | \(0.578351\pi\) | |||||||
\(14\) | 1.64899 | + | 1.48740i | 0.440710 | + | 0.397524i | ||||
\(15\) | −1.89232 | − | 1.31857i | −0.488595 | − | 0.340454i | ||||
\(16\) | 3.82005 | − | 1.18627i | 0.955012 | − | 0.296568i | ||||
\(17\) | 0.992017 | − | 1.92424i | 0.240599 | − | 0.466698i | −0.737358 | − | 0.675502i | \(-0.763927\pi\) |
0.977957 | + | 0.208804i | \(0.0669572\pi\) | |||||||
\(18\) | 1.76046 | − | 3.86015i | 0.414944 | − | 0.909847i | ||||
\(19\) | −5.54672 | + | 5.81724i | −1.27251 | + | 1.33457i | −0.356030 | + | 0.934474i | \(0.615870\pi\) |
−0.916475 | + | 0.400091i | \(0.868978\pi\) | |||||||
\(20\) | −2.22921 | + | 1.45716i | −0.498466 | + | 0.325830i | ||||
\(21\) | 0.739539 | − | 2.61732i | 0.161381 | − | 0.571145i | ||||
\(22\) | −1.77587 | − | 0.0353898i | −0.378617 | − | 0.00754514i | ||||
\(23\) | −1.10694 | + | 0.443150i | −0.230812 | + | 0.0924032i | −0.484186 | − | 0.874965i | \(-0.660884\pi\) |
0.253374 | + | 0.967369i | \(0.418460\pi\) | |||||||
\(24\) | −3.37375 | − | 3.55216i | −0.688663 | − | 0.725082i | ||||
\(25\) | −2.11312 | + | 2.43868i | −0.422625 | + | 0.487735i | ||||
\(26\) | 0.564446 | + | 0.0652707i | 0.110697 | + | 0.0128006i | ||||
\(27\) | −5.19371 | + | 0.159317i | −0.999530 | + | 0.0306605i | ||||
\(28\) | −2.48360 | − | 1.92217i | −0.469357 | − | 0.363256i | ||||
\(29\) | −6.34401 | − | 3.66271i | −1.17805 | − | 0.680149i | −0.222489 | − | 0.974935i | \(-0.571418\pi\) |
−0.955563 | + | 0.294786i | \(0.904751\pi\) | |||||||
\(30\) | 2.80880 | + | 1.65821i | 0.512814 | + | 0.302746i | ||||
\(31\) | −0.0714776 | − | 0.370861i | −0.0128378 | − | 0.0666086i | 0.974945 | − | 0.222447i | \(-0.0714043\pi\) |
−0.987783 | + | 0.155838i | \(0.950192\pi\) | |||||||
\(32\) | −5.26090 | + | 2.07917i | −0.930004 | + | 0.367548i | ||||
\(33\) | 0.923883 | + | 1.96949i | 0.160827 | + | 0.342845i | ||||
\(34\) | −1.19430 | + | 2.81909i | −0.204821 | + | 0.483470i | ||||
\(35\) | 1.94120 | + | 0.777139i | 0.328123 | + | 0.131360i | ||||
\(36\) | −2.07207 | + | 5.63085i | −0.345345 | + | 0.938476i | ||||
\(37\) | −0.164311 | − | 0.284595i | −0.0270126 | − | 0.0467872i | 0.852203 | − | 0.523211i | \(-0.175266\pi\) |
−0.879216 | + | 0.476424i | \(0.841933\pi\) | |||||||
\(38\) | 7.20336 | − | 8.79343i | 1.16854 | − | 1.42648i | ||||
\(39\) | −0.234320 | − | 0.655274i | −0.0375212 | − | 0.104928i | ||||
\(40\) | 2.98868 | − | 2.29198i | 0.472551 | − | 0.362394i | ||||
\(41\) | −10.5865 | + | 0.504295i | −1.65333 | + | 0.0787576i | −0.853371 | − | 0.521303i | \(-0.825446\pi\) |
−0.799954 | + | 0.600061i | \(0.795143\pi\) | |||||||
\(42\) | −0.764544 | + | 3.76962i | −0.117972 | + | 0.581664i | ||||
\(43\) | 4.52097 | + | 7.03477i | 0.689441 | + | 1.07279i | 0.992785 | + | 0.119910i | \(0.0382607\pi\) |
−0.303343 | + | 0.952881i | \(0.598103\pi\) | |||||||
\(44\) | 2.50812 | − | 0.138963i | 0.378113 | − | 0.0209495i | ||||
\(45\) | 0.298359 | − | 3.98366i | 0.0444767 | − | 0.593848i | ||||
\(46\) | 1.51388 | − | 0.742661i | 0.223209 | − | 0.109499i | ||||
\(47\) | −0.246085 | − | 0.193523i | −0.0358952 | − | 0.0282283i | 0.600050 | − | 0.799962i | \(-0.295147\pi\) |
−0.635945 | + | 0.771734i | \(0.719390\pi\) | |||||||
\(48\) | 5.13547 | + | 4.65048i | 0.741241 | + | 0.671239i | ||||
\(49\) | 0.215748 | − | 4.52911i | 0.0308211 | − | 0.647016i | ||||
\(50\) | 2.72059 | − | 3.66378i | 0.384749 | − | 0.518137i | ||||
\(51\) | 3.74346 | − | 0.216695i | 0.524189 | − | 0.0303433i | ||||
\(52\) | −0.802929 | − | 0.0320145i | −0.111346 | − | 0.00443961i | ||||
\(53\) | 3.76196 | − | 5.85372i | 0.516745 | − | 0.804070i | −0.480597 | − | 0.876942i | \(-0.659580\pi\) |
0.997341 | + | 0.0728713i | \(0.0232162\pi\) | |||||||
\(54\) | 7.30727 | − | 0.777038i | 0.994394 | − | 0.105742i | ||||
\(55\) | −1.58049 | + | 0.547011i | −0.213113 | + | 0.0737590i | ||||
\(56\) | 3.70683 | + | 2.44652i | 0.495346 | + | 0.326930i | ||||
\(57\) | −13.5623 | − | 3.14375i | −1.79637 | − | 0.416399i | ||||
\(58\) | 9.33591 | + | 4.49048i | 1.22587 | + | 0.589629i | ||||
\(59\) | 2.90403 | + | 3.35143i | 0.378073 | + | 0.436320i | 0.912614 | − | 0.408823i | \(-0.134061\pi\) |
−0.534540 | + | 0.845143i | \(0.679515\pi\) | |||||||
\(60\) | −4.13735 | − | 2.03970i | −0.534130 | − | 0.263324i | ||||
\(61\) | −7.52455 | + | 0.718507i | −0.963419 | + | 0.0919954i | −0.564895 | − | 0.825163i | \(-0.691083\pi\) |
−0.398524 | + | 0.917158i | \(0.630477\pi\) | |||||||
\(62\) | 0.140241 | + | 0.515389i | 0.0178106 | + | 0.0654545i | ||||
\(63\) | 4.55437 | − | 1.20397i | 0.573796 | − | 0.151686i | ||||
\(64\) | 7.19784 | − | 3.49157i | 0.899730 | − | 0.436447i | ||||
\(65\) | 0.519935 | − | 0.126135i | 0.0644900 | − | 0.0156451i | ||||
\(66\) | −1.51233 | − | 2.67914i | −0.186155 | − | 0.329779i | ||||
\(67\) | 2.25814 | − | 7.86770i | 0.275876 | − | 0.961193i | ||||
\(68\) | 1.38439 | − | 4.10252i | 0.167882 | − | 0.497504i | ||||
\(69\) | −1.63632 | − | 1.25996i | −0.196990 | − | 0.151682i | ||||
\(70\) | −2.82015 | − | 0.889475i | −0.337072 | − | 0.106313i | ||||
\(71\) | 1.69621 | − | 0.874459i | 0.201303 | − | 0.103779i | −0.354627 | − | 0.935008i | \(-0.615392\pi\) |
0.555931 | + | 0.831229i | \(0.312362\pi\) | |||||||
\(72\) | 2.32319 | − | 8.16105i | 0.273791 | − | 0.961789i | ||||
\(73\) | −0.924416 | + | 0.0882711i | −0.108195 | + | 0.0103313i | −0.149013 | − | 0.988835i | \(-0.547610\pi\) |
0.0408182 | + | 0.999167i | \(0.487004\pi\) | |||||||
\(74\) | 0.261981 | + | 0.383864i | 0.0304547 | + | 0.0446233i | ||||
\(75\) | −5.49856 | − | 1.00158i | −0.634919 | − | 0.115652i | ||||
\(76\) | −9.22302 | + | 13.1667i | −1.05795 | + | 1.51032i | ||||
\(77\) | −1.21915 | − | 1.55028i | −0.138935 | − | 0.176671i | ||||
\(78\) | 0.400131 | + | 0.899153i | 0.0453059 | + | 0.101809i | ||||
\(79\) | −0.351000 | + | 0.121482i | −0.0394906 | + | 0.0136678i | −0.346742 | − | 0.937961i | \(-0.612712\pi\) |
0.307251 | + | 0.951628i | \(0.400591\pi\) | |||||||
\(80\) | −3.97090 | + | 3.55002i | −0.443960 | + | 0.396905i | ||||
\(81\) | −4.81483 | − | 7.60377i | −0.534982 | − | 0.844864i | ||||
\(82\) | 14.8755 | − | 1.83707i | 1.64272 | − | 0.202870i | ||||
\(83\) | −4.69899 | + | 6.59880i | −0.515781 | + | 0.724313i | −0.987532 | − | 0.157419i | \(-0.949683\pi\) |
0.471751 | + | 0.881732i | \(0.343622\pi\) | |||||||
\(84\) | 0.677256 | − | 5.39726i | 0.0738947 | − | 0.588889i | ||||
\(85\) | −0.137169 | + | 2.87953i | −0.0148781 | + | 0.312329i | ||||
\(86\) | −7.12368 | − | 9.43967i | −0.768166 | − | 1.01791i | ||||
\(87\) | −0.129692 | − | 12.6873i | −0.0139044 | − | 1.36023i | ||||
\(88\) | −3.52219 | + | 0.462714i | −0.375466 | + | 0.0493254i | ||||
\(89\) | −3.01184 | + | 0.433038i | −0.319255 | + | 0.0459019i | −0.300079 | − | 0.953914i | \(-0.597013\pi\) |
−0.0191754 | + | 0.999816i | \(0.506104\pi\) | |||||||
\(90\) | 0.00292670 | + | 5.64952i | 0.000308502 | + | 0.595511i | ||||
\(91\) | 0.341096 | + | 0.530755i | 0.0357565 | + | 0.0556382i | ||||
\(92\) | −2.05590 | + | 1.20831i | −0.214343 | + | 0.125975i | ||||
\(93\) | 0.489985 | − | 0.433422i | 0.0508091 | − | 0.0449438i | ||||
\(94\) | 0.367613 | + | 0.246736i | 0.0379164 | + | 0.0254489i | ||||
\(95\) | 3.50067 | − | 10.1145i | 0.359161 | − | 1.03773i | ||||
\(96\) | −7.73668 | − | 6.01197i | −0.789622 | − | 0.613594i | ||||
\(97\) | −4.97724 | − | 8.62084i | −0.505362 | − | 0.875313i | −0.999981 | − | 0.00620311i | \(-0.998025\pi\) |
0.494618 | − | 0.869110i | \(-0.335308\pi\) | |||||||
\(98\) | 0.177436 | + | 6.40993i | 0.0179238 | + | 0.647501i | ||||
\(99\) | −2.12242 | + | 3.11331i | −0.213311 | + | 0.312900i | ||||
\(100\) | −3.44694 | + | 5.45604i | −0.344694 | + | 0.545604i | ||||
\(101\) | 3.10299 | + | 0.752777i | 0.308759 | + | 0.0749041i | 0.387145 | − | 0.922019i | \(-0.373461\pi\) |
−0.0783858 | + | 0.996923i | \(0.524977\pi\) | |||||||
\(102\) | −5.25601 | + | 0.703714i | −0.520423 | + | 0.0696781i | ||||
\(103\) | 1.67198 | + | 8.67503i | 0.164745 | + | 0.854776i | 0.966410 | + | 0.257004i | \(0.0827353\pi\) |
−0.801666 | + | 0.597772i | \(0.796053\pi\) | |||||||
\(104\) | 1.13570 | − | 0.0402472i | 0.111365 | − | 0.00394656i | ||||
\(105\) | 0.552035 | + | 3.57937i | 0.0538731 | + | 0.349310i | ||||
\(106\) | −4.68258 | + | 8.65507i | −0.454813 | + | 0.840654i | ||||
\(107\) | −6.32274 | + | 13.8449i | −0.611242 | + | 1.33843i | 0.310479 | + | 0.950580i | \(0.399511\pi\) |
−0.921721 | + | 0.387854i | \(0.873217\pi\) | |||||||
\(108\) | −10.2221 | + | 1.87294i | −0.983626 | + | 0.180224i | ||||
\(109\) | −9.63599 | + | 11.1205i | −0.922961 | + | 1.06515i | 0.0747280 | + | 0.997204i | \(0.476191\pi\) |
−0.997689 | + | 0.0679496i | \(0.978354\pi\) | |||||||
\(110\) | 2.17064 | − | 0.939490i | 0.206962 | − | 0.0895769i | ||||
\(111\) | 0.279542 | − | 0.495817i | 0.0265330 | − | 0.0470609i | ||||
\(112\) | −5.48760 | − | 3.05587i | −0.518529 | − | 0.288753i | ||||
\(113\) | 2.12920 | − | 1.51620i | 0.200298 | − | 0.142632i | −0.475507 | − | 0.879712i | \(-0.657735\pi\) |
0.675805 | + | 0.737080i | \(0.263796\pi\) | |||||||
\(114\) | 19.4600 | + | 2.99094i | 1.82260 | + | 0.280127i | ||||
\(115\) | 1.09566 | − | 1.14910i | 0.102171 | − | 0.107154i | ||||
\(116\) | −13.6432 | − | 5.33961i | −1.26674 | − | 0.495771i | ||||
\(117\) | 0.770550 | − | 0.926889i | 0.0712374 | − | 0.0856909i | ||||
\(118\) | −4.45173 | − | 4.41737i | −0.409815 | − | 0.406652i | ||||
\(119\) | −3.26179 | + | 0.957747i | −0.299008 | + | 0.0877965i | ||||
\(120\) | 6.05146 | + | 2.43637i | 0.552420 | + | 0.222410i | ||||
\(121\) | −9.25223 | − | 1.78322i | −0.841112 | − | 0.162111i | ||||
\(122\) | 10.5348 | − | 1.81351i | 0.953773 | − | 0.164187i | ||||
\(123\) | −10.0819 | − | 15.3407i | −0.909055 | − | 1.38322i | ||||
\(124\) | −0.252582 | − | 0.711892i | −0.0226825 | − | 0.0639298i | ||||
\(125\) | 3.08635 | − | 10.5111i | 0.276051 | − | 0.940144i | ||||
\(126\) | −6.29456 | + | 2.18222i | −0.560764 | + | 0.194408i | ||||
\(127\) | 9.12403 | + | 9.56901i | 0.809627 | + | 0.849112i | 0.990939 | − | 0.134314i | \(-0.0428829\pi\) |
−0.181312 | + | 0.983426i | \(0.558034\pi\) | |||||||
\(128\) | −9.77912 | + | 5.68936i | −0.864360 | + | 0.502873i | ||||
\(129\) | −6.50494 | + | 12.9409i | −0.572728 | + | 1.13938i | ||||
\(130\) | −0.719803 | + | 0.233174i | −0.0631309 | + | 0.0204507i | ||||
\(131\) | −1.13221 | + | 7.87466i | −0.0989213 | + | 0.688012i | 0.878659 | + | 0.477450i | \(0.158439\pi\) |
−0.977580 | + | 0.210563i | \(0.932470\pi\) | |||||||
\(132\) | 2.41764 | + | 3.61730i | 0.210428 | + | 0.314846i | ||||
\(133\) | 12.6216 | 1.09443 | ||||||||
\(134\) | −2.34770 | + | 11.3353i | −0.202810 | + | 0.979218i | ||||
\(135\) | 6.20285 | − | 3.06597i | 0.533857 | − | 0.263877i | ||||
\(136\) | −1.51597 | + | 5.93265i | −0.129993 | + | 0.508721i | ||||
\(137\) | 14.4822 | + | 2.08222i | 1.23729 | + | 0.177896i | 0.729741 | − | 0.683724i | \(-0.239641\pi\) |
0.507554 | + | 0.861620i | \(0.330550\pi\) | |||||||
\(138\) | 2.44156 | + | 1.60278i | 0.207839 | + | 0.136438i | ||||
\(139\) | −2.03419 | + | 0.928982i | −0.172538 | + | 0.0787952i | −0.499811 | − | 0.866134i | \(-0.666597\pi\) |
0.327274 | + | 0.944930i | \(0.393870\pi\) | |||||||
\(140\) | 4.07160 | + | 0.954414i | 0.344113 | + | 0.0806627i | ||||
\(141\) | 0.0716789 | − | 0.537484i | 0.00603646 | − | 0.0452643i | ||||
\(142\) | −2.29901 | + | 1.41357i | −0.192929 | + | 0.118624i | ||||
\(143\) | −0.484191 | − | 0.142171i | −0.0404901 | − | 0.0118890i | ||||
\(144\) | −2.40823 | + | 11.7559i | −0.200686 | + | 0.979656i | ||||
\(145\) | 9.71040 | + | 0.927231i | 0.806405 | + | 0.0770023i | ||||
\(146\) | 1.29423 | − | 0.222795i | 0.107111 | − | 0.0184387i | ||||
\(147\) | 6.94336 | − | 3.66987i | 0.572678 | − | 0.302685i | ||||
\(148\) | −0.410273 | − | 0.513466i | −0.0337242 | − | 0.0422066i | ||||
\(149\) | −3.68264 | − | 12.5419i | −0.301694 | − | 1.02748i | −0.961218 | − | 0.275791i | \(-0.911060\pi\) |
0.659524 | − | 0.751684i | \(-0.270758\pi\) | |||||||
\(150\) | 7.86064 | + | 0.827647i | 0.641818 | + | 0.0675771i | ||||
\(151\) | 4.48884 | − | 8.70713i | 0.365296 | − | 0.708576i | −0.632526 | − | 0.774539i | \(-0.717982\pi\) |
0.997822 | + | 0.0659632i | \(0.0210120\pi\) | |||||||
\(152\) | 11.6061 | − | 19.5487i | 0.941377 | − | 1.58561i | ||||
\(153\) | 3.62226 | + | 5.39078i | 0.292843 | + | 0.435819i | ||||
\(154\) | 1.88414 | + | 2.05656i | 0.151828 | + | 0.165722i | ||||
\(155\) | 0.291727 | + | 0.409673i | 0.0234321 | + | 0.0329058i | ||||
\(156\) | −0.659896 | − | 1.22544i | −0.0528339 | − | 0.0981136i | ||||
\(157\) | −8.75452 | + | 3.50478i | −0.698687 | + | 0.279712i | −0.693688 | − | 0.720275i | \(-0.744015\pi\) |
−0.00499875 | + | 0.999988i | \(0.501591\pi\) | |||||||
\(158\) | 0.482063 | − | 0.208645i | 0.0383509 | − | 0.0165989i | ||||
\(159\) | 12.0438 | + | 0.450383i | 0.955133 | + | 0.0357177i | ||||
\(160\) | 5.22224 | − | 5.42860i | 0.412854 | − | 0.429168i | ||||
\(161\) | 1.70311 | + | 0.777785i | 0.134224 | + | 0.0612980i | ||||
\(162\) | 7.59861 | + | 10.2108i | 0.597003 | + | 0.802239i | ||||
\(163\) | 6.81989 | + | 3.93747i | 0.534175 | + | 0.308406i | 0.742715 | − | 0.669608i | \(-0.233538\pi\) |
−0.208540 | + | 0.978014i | \(0.566871\pi\) | |||||||
\(164\) | −20.7821 | + | 4.17270i | −1.62281 | + | 0.325833i | ||||
\(165\) | −2.20853 | − | 1.87453i | −0.171934 | − | 0.145932i | ||||
\(166\) | 5.92475 | − | 9.80544i | 0.459849 | − | 0.761050i | ||||
\(167\) | 1.72287 | − | 7.10176i | 0.133320 | − | 0.549551i | −0.865497 | − | 0.500914i | \(-0.832997\pi\) |
0.998817 | − | 0.0486365i | \(-0.0154876\pi\) | |||||||
\(168\) | −0.381055 | + | 7.68329i | −0.0293990 | + | 0.592779i | ||||
\(169\) | −11.9189 | − | 4.77161i | −0.916840 | − | 0.367047i | ||||
\(170\) | −0.112811 | − | 4.07533i | −0.00865221 | − | 0.312563i | ||||
\(171\) | −7.26508 | − | 22.9930i | −0.555575 | − | 1.75832i | ||||
\(172\) | 11.0498 | + | 12.5543i | 0.842541 | + | 0.957255i | ||||
\(173\) | 22.6596 | + | 7.84256i | 1.72278 | + | 0.596259i | 0.995896 | − | 0.0905042i | \(-0.0288478\pi\) |
0.726881 | + | 0.686763i | \(0.240969\pi\) | |||||||
\(174\) | 1.53223 | + | 17.8780i | 0.116158 | + | 1.35533i | ||||
\(175\) | 5.06126 | − | 0.241098i | 0.382596 | − | 0.0182253i | ||||
\(176\) | 4.91781 | − | 1.02712i | 0.370694 | − | 0.0774220i | ||||
\(177\) | −2.43786 | + | 7.28378i | −0.183241 | + | 0.547482i | ||||
\(178\) | 4.20127 | − | 0.930993i | 0.314899 | − | 0.0697809i | ||||
\(179\) | 2.10379 | + | 14.6322i | 0.157245 | + | 1.09366i | 0.903682 | + | 0.428205i | \(0.140854\pi\) |
−0.746437 | + | 0.665456i | \(0.768237\pi\) | |||||||
\(180\) | −0.604973 | − | 7.96669i | −0.0450920 | − | 0.593802i | ||||
\(181\) | 15.6206 | + | 12.2842i | 1.16107 | + | 0.913074i | 0.997301 | − | 0.0734251i | \(-0.0233930\pi\) |
0.163767 | + | 0.986499i | \(0.447635\pi\) | |||||||
\(182\) | −0.537463 | − | 0.712199i | −0.0398394 | − | 0.0527917i | ||||
\(183\) | −7.70282 | − | 10.5864i | −0.569409 | − | 0.782568i | ||||
\(184\) | 2.77074 | − | 1.92263i | 0.204262 | − | 0.141738i | ||||
\(185\) | 0.356454 | + | 0.253830i | 0.0262071 | + | 0.0186620i | ||||
\(186\) | −0.644886 | + | 0.663328i | −0.0472853 | + | 0.0486375i | ||||
\(187\) | 1.47005 | − | 2.28744i | 0.107500 | − | 0.167274i | ||||
\(188\) | −0.544652 | − | 0.308853i | −0.0397228 | − | 0.0225254i | ||||
\(189\) | 5.80902 | + | 5.72980i | 0.422544 | + | 0.416782i | ||||
\(190\) | −3.86096 | + | 14.6359i | −0.280103 | + | 1.06180i | ||||
\(191\) | 14.7266 | − | 11.5811i | 1.06558 | − | 0.837981i | 0.0782927 | − | 0.996930i | \(-0.475053\pi\) |
0.987287 | + | 0.158949i | \(0.0508107\pi\) | |||||||
\(192\) | 11.5497 | + | 7.65531i | 0.833530 | + | 0.552475i | ||||
\(193\) | 10.8629 | + | 12.5364i | 0.781927 | + | 0.902392i | 0.997247 | − | 0.0741516i | \(-0.0236249\pi\) |
−0.215320 | + | 0.976544i | \(0.569079\pi\) | |||||||
\(194\) | 7.93581 | + | 11.6278i | 0.569758 | + | 0.834830i | ||||
\(195\) | 0.646302 | + | 0.664095i | 0.0462826 | + | 0.0475569i | ||||
\(196\) | −0.931941 | − | 9.02048i | −0.0665672 | − | 0.644320i | ||||
\(197\) | 8.31078 | + | 16.1207i | 0.592118 | + | 1.14855i | 0.974467 | + | 0.224531i | \(0.0720851\pi\) |
−0.382348 | + | 0.924018i | \(0.624885\pi\) | |||||||
\(198\) | 2.66195 | − | 4.61615i | 0.189176 | − | 0.328055i | ||||
\(199\) | −18.6679 | + | 4.52879i | −1.32333 | + | 0.321037i | −0.834340 | − | 0.551250i | \(-0.814151\pi\) |
−0.488993 | + | 0.872288i | \(0.662636\pi\) | |||||||
\(200\) | 4.28063 | − | 8.06075i | 0.302687 | − | 0.569981i | ||||
\(201\) | 13.7214 | − | 3.56686i | 0.967835 | − | 0.251587i | ||||
\(202\) | −4.45592 | − | 0.731559i | −0.313517 | − | 0.0514723i | ||||
\(203\) | 2.71191 | + | 11.1787i | 0.190339 | + | 0.784588i | ||||
\(204\) | 7.33723 | − | 1.55138i | 0.513709 | − | 0.108618i | ||||
\(205\) | 12.5441 | − | 6.46693i | 0.876117 | − | 0.451670i | ||||
\(206\) | −3.28045 | − | 12.0558i | −0.228560 | − | 0.839966i | ||||
\(207\) | 0.436581 | − | 3.55030i | 0.0303445 | − | 0.246763i | ||||
\(208\) | −1.59730 | + | 0.177543i | −0.110753 | + | 0.0123104i | ||||
\(209\) | −7.62955 | + | 6.61104i | −0.527747 | + | 0.457295i | ||||
\(210\) | −1.15916 | − | 4.98894i | −0.0799898 | − | 0.344270i | ||||
\(211\) | 6.09443 | + | 7.74970i | 0.419558 | + | 0.533511i | 0.949185 | − | 0.314719i | \(-0.101910\pi\) |
−0.529627 | + | 0.848231i | \(0.677668\pi\) | |||||||
\(212\) | 5.68292 | − | 12.7035i | 0.390305 | − | 0.872477i | ||||
\(213\) | 2.79877 | + | 1.75850i | 0.191769 | + | 0.120490i | ||||
\(214\) | 7.44393 | − | 20.1966i | 0.508857 | − | 1.38061i | ||||
\(215\) | −9.36752 | − | 6.02014i | −0.638860 | − | 0.410570i | ||||
\(216\) | 14.2162 | − | 3.72840i | 0.967287 | − | 0.253685i | ||||
\(217\) | −0.344014 | + | 0.483101i | −0.0233532 | + | 0.0327950i | ||||
\(218\) | 12.4061 | − | 16.7071i | 0.840244 | − | 1.13155i | ||||
\(219\) | −0.946318 | − | 1.30057i | −0.0639463 | − | 0.0878847i | ||||
\(220\) | −2.96113 | + | 1.55573i | −0.199640 | + | 0.104887i | ||||
\(221\) | −0.537689 | + | 0.683727i | −0.0361689 | + | 0.0459925i | ||||
\(222\) | −0.341481 | + | 0.728936i | −0.0229187 | + | 0.0489230i | ||||
\(223\) | −10.8903 | + | 1.56580i | −0.729271 | + | 0.104853i | −0.496942 | − | 0.867784i | \(-0.665544\pi\) |
−0.232329 | + | 0.972637i | \(0.574635\pi\) | |||||||
\(224\) | 8.06366 | + | 3.72579i | 0.538776 | + | 0.248940i | ||||
\(225\) | −3.35252 | − | 9.08144i | −0.223502 | − | 0.605429i | ||||
\(226\) | −2.84137 | + | 2.36460i | −0.189005 | + | 0.157291i | ||||
\(227\) | 0.0803747 | + | 1.68727i | 0.00533466 | + | 0.111988i | 0.999964 | + | 0.00848702i | \(0.00270154\pi\) |
−0.994629 | + | 0.103501i | \(0.966995\pi\) | |||||||
\(228\) | −27.7608 | − | 2.14821i | −1.83850 | − | 0.142269i | ||||
\(229\) | 4.88369 | − | 14.1105i | 0.322723 | − | 0.932447i | −0.660625 | − | 0.750716i | \(-0.729709\pi\) |
0.983348 | − | 0.181731i | \(-0.0581701\pi\) | |||||||
\(230\) | −1.42290 | + | 1.73699i | −0.0938233 | + | 0.114534i | ||||
\(231\) | 1.23712 | − | 3.18412i | 0.0813965 | − | 0.209500i | ||||
\(232\) | 19.8076 | + | 6.07897i | 1.30043 | + | 0.399104i | ||||
\(233\) | −0.501584 | + | 1.25290i | −0.0328599 | + | 0.0820800i | −0.943890 | − | 0.330259i | \(-0.892864\pi\) |
0.911030 | + | 0.412339i | \(0.135288\pi\) | |||||||
\(234\) | −0.988059 | + | 1.38906i | −0.0645914 | + | 0.0908055i | ||||
\(235\) | 0.405126 | + | 0.0982825i | 0.0264275 | + | 0.00641124i | ||||
\(236\) | 6.74767 | + | 5.75596i | 0.439236 | + | 0.374681i | ||||
\(237\) | −0.490479 | − | 0.416301i | −0.0318600 | − | 0.0270417i | ||||
\(238\) | 4.49794 | − | 1.69753i | 0.291558 | − | 0.110034i | ||||
\(239\) | −8.76847 | + | 15.1874i | −0.567185 | + | 0.982394i | 0.429657 | + | 0.902992i | \(0.358634\pi\) |
−0.996843 | + | 0.0794018i | \(0.974699\pi\) | |||||||
\(240\) | −8.79294 | − | 2.79220i | −0.567582 | − | 0.180236i | ||||
\(241\) | −3.94821 | + | 8.64537i | −0.254326 | + | 0.556897i | −0.993129 | − | 0.117025i | \(-0.962664\pi\) |
0.738803 | + | 0.673922i | \(0.235392\pi\) | |||||||
\(242\) | 13.2372 | + | 1.53071i | 0.850922 | + | 0.0983977i | ||||
\(243\) | 7.09438 | − | 13.8806i | 0.455105 | − | 0.890438i | ||||
\(244\) | −14.6633 | + | 3.67783i | −0.938724 | + | 0.235449i | ||||
\(245\) | 2.24403 | + | 5.60532i | 0.143366 | + | 0.358111i | ||||
\(246\) | 15.8491 | + | 20.5613i | 1.01050 | + | 1.31094i | ||||
\(247\) | 2.63064 | − | 1.87327i | 0.167384 | − | 0.119193i | ||||
\(248\) | 0.431905 | + | 0.977053i | 0.0274260 | + | 0.0620429i | ||||
\(249\) | −13.9805 | − | 1.19091i | −0.885981 | − | 0.0754707i | ||||
\(250\) | −3.23450 | + | 15.1511i | −0.204568 | + | 0.958242i | ||||
\(251\) | 3.35589 | + | 1.73008i | 0.211822 | + | 0.109202i | 0.560873 | − | 0.827902i | \(-0.310466\pi\) |
−0.349051 | + | 0.937104i | \(0.613496\pi\) | |||||||
\(252\) | 8.64456 | − | 3.74684i | 0.544556 | − | 0.236028i | ||||
\(253\) | −1.43690 | + | 0.421913i | −0.0903373 | + | 0.0265254i | ||||
\(254\) | −13.8845 | − | 12.5239i | −0.871190 | − | 0.785821i | ||||
\(255\) | −4.41447 | + | 2.33324i | −0.276445 | + | 0.146113i | ||||
\(256\) | 13.1855 | − | 9.06323i | 0.824095 | − | 0.566452i | ||||
\(257\) | −1.43549 | + | 15.0331i | −0.0895431 | + | 0.937738i | 0.833366 | + | 0.552721i | \(0.186410\pi\) |
−0.922909 | + | 0.385017i | \(0.874196\pi\) | |||||||
\(258\) | 7.79701 | − | 18.9412i | 0.485421 | − | 1.17923i | ||||
\(259\) | −0.145382 | + | 0.495124i | −0.00903357 | + | 0.0307655i | ||||
\(260\) | 0.990273 | − | 0.405377i | 0.0614141 | − | 0.0251404i | ||||
\(261\) | 18.8034 | − | 11.3749i | 1.16390 | − | 0.704088i | ||||
\(262\) | 0.759149 | − | 11.2253i | 0.0469004 | − | 0.693503i | ||||
\(263\) | 8.81204 | + | 19.2957i | 0.543374 | + | 1.18982i | 0.959808 | + | 0.280657i | \(0.0905522\pi\) |
−0.416435 | + | 0.909166i | \(0.636721\pi\) | |||||||
\(264\) | −3.79409 | − | 4.84403i | −0.233510 | − | 0.298130i | ||||
\(265\) | −1.31865 | + | 9.17143i | −0.0810042 | + | 0.563397i | ||||
\(266\) | −17.7990 | + | 1.34234i | −1.09133 | + | 0.0823044i | ||||
\(267\) | −3.30006 | − | 4.10923i | −0.201961 | − | 0.251481i | ||||
\(268\) | 2.10520 | − | 16.2348i | 0.128596 | − | 0.991697i | ||||
\(269\) | − | 4.39856i | − | 0.268185i | −0.990969 | − | 0.134092i | \(-0.957188\pi\) | ||
0.990969 | − | 0.134092i | \(-0.0428119\pi\) | |||||||
\(270\) | −8.42124 | + | 4.98335i | −0.512501 | + | 0.303277i | ||||
\(271\) | −21.4555 | − | 3.08484i | −1.30333 | − | 0.187391i | −0.544546 | − | 0.838731i | \(-0.683298\pi\) |
−0.758786 | + | 0.651340i | \(0.774207\pi\) | |||||||
\(272\) | 1.50687 | − | 8.52750i | 0.0913676 | − | 0.517056i | ||||
\(273\) | −0.490781 | + | 0.976358i | −0.0297034 | + | 0.0590919i | ||||
\(274\) | −20.6443 | − | 1.39614i | −1.24717 | − | 0.0843438i | ||||
\(275\) | −2.93318 | + | 2.79678i | −0.176877 | + | 0.168652i | ||||
\(276\) | −3.61357 | − | 2.00059i | −0.217511 | − | 0.120422i | ||||
\(277\) | 26.0949 | + | 7.66217i | 1.56789 | + | 0.460375i | 0.946387 | − | 0.323034i | \(-0.104703\pi\) |
0.621506 | + | 0.783409i | \(0.286521\pi\) | |||||||
\(278\) | 2.76983 | − | 1.52640i | 0.166123 | − | 0.0915475i | ||||
\(279\) | 1.07809 | + | 0.348621i | 0.0645437 | + | 0.0208714i | ||||
\(280\) | −5.84331 | − | 0.912894i | −0.349204 | − | 0.0545559i | ||||
\(281\) | −1.89960 | + | 9.85607i | −0.113321 | + | 0.587964i | 0.880227 | + | 0.474552i | \(0.157390\pi\) |
−0.993548 | + | 0.113411i | \(0.963822\pi\) | |||||||
\(282\) | −0.0439190 | + | 0.765588i | −0.00261534 | + | 0.0455901i | ||||
\(283\) | 2.94129 | + | 10.0171i | 0.174841 | + | 0.595455i | 0.999553 | + | 0.0299012i | \(0.00951928\pi\) |
−0.824712 | + | 0.565554i | \(0.808663\pi\) | |||||||
\(284\) | 3.09175 | − | 2.23793i | 0.183462 | − | 0.132797i | ||||
\(285\) | 18.1666 | − | 3.69431i | 1.07610 | − | 0.218832i | ||||
\(286\) | 0.697931 | + | 0.148996i | 0.0412696 | + | 0.00881032i | ||||
\(287\) | 12.0447 | + | 11.4846i | 0.710977 | + | 0.677915i | ||||
\(288\) | 2.14583 | − | 16.8344i | 0.126444 | − | 0.991974i | ||||
\(289\) | 7.14235 | + | 10.0300i | 0.420138 | + | 0.590002i | ||||
\(290\) | −13.7923 | − | 0.274855i | −0.809912 | − | 0.0161400i | ||||
\(291\) | 8.46776 | − | 15.0191i | 0.496389 | − | 0.880433i | ||||
\(292\) | −1.80144 | + | 0.451834i | −0.105421 | + | 0.0264416i | ||||
\(293\) | 4.72490 | + | 4.09415i | 0.276032 | + | 0.239183i | 0.781864 | − | 0.623449i | \(-0.214269\pi\) |
−0.505832 | + | 0.862632i | \(0.668815\pi\) | |||||||
\(294\) | −9.40128 | + | 5.91373i | −0.548294 | + | 0.344896i | ||||
\(295\) | −5.37148 | − | 2.45307i | −0.312739 | − | 0.142823i | ||||
\(296\) | 0.633180 | + | 0.680460i | 0.0368028 | + | 0.0395509i | ||||
\(297\) | −6.51268 | − | 0.420877i | −0.377904 | − | 0.0244218i | ||||
\(298\) | 6.52717 | + | 17.2951i | 0.378109 | + | 1.00188i | ||||
\(299\) | 0.470408 | − | 0.0906637i | 0.0272044 | − | 0.00524322i | ||||
\(300\) | −11.1732 | − | 0.331149i | −0.645083 | − | 0.0191189i | ||||
\(301\) | 3.09575 | − | 12.7609i | 0.178436 | − | 0.735523i | ||||
\(302\) | −5.40417 | + | 12.7563i | −0.310975 | + | 0.734041i | ||||
\(303\) | 1.61226 | + | 5.29020i | 0.0926219 | + | 0.303914i | ||||
\(304\) | −14.2879 | + | 28.8020i | −0.819468 | + | 1.65191i | ||||
\(305\) | 8.71680 | − | 5.03265i | 0.499122 | − | 0.288168i | ||||
\(306\) | −5.68148 | − | 7.21689i | −0.324788 | − | 0.412562i | ||||
\(307\) | 2.74094 | + | 0.948648i | 0.156434 | + | 0.0541422i | 0.404163 | − | 0.914687i | \(-0.367563\pi\) |
−0.247729 | + | 0.968829i | \(0.579684\pi\) | |||||||
\(308\) | −2.87575 | − | 2.69979i | −0.163861 | − | 0.153835i | ||||
\(309\) | −11.4615 | + | 10.1384i | −0.652024 | + | 0.576756i | ||||
\(310\) | −0.454966 | − | 0.546699i | −0.0258403 | − | 0.0310504i | ||||
\(311\) | 20.0123 | − | 12.8611i | 1.13479 | − | 0.729288i | 0.168239 | − | 0.985746i | \(-0.446192\pi\) |
0.966555 | + | 0.256459i | \(0.0825557\pi\) | |||||||
\(312\) | 1.06092 | + | 1.65794i | 0.0600628 | + | 0.0938624i | ||||
\(313\) | −2.19338 | − | 15.2553i | −0.123977 | − | 0.862281i | −0.952979 | − | 0.303035i | \(-0.902000\pi\) |
0.829002 | − | 0.559246i | \(-0.188909\pi\) | |||||||
\(314\) | 11.9730 | − | 5.87355i | 0.675673 | − | 0.331463i | ||||
\(315\) | −4.85057 | + | 3.97766i | −0.273299 | + | 0.224116i | ||||
\(316\) | −0.657619 | + | 0.345503i | −0.0369940 | + | 0.0194360i | ||||
\(317\) | −16.9683 | − | 0.808302i | −0.953037 | − | 0.0453988i | −0.434700 | − | 0.900575i | \(-0.643146\pi\) |
−0.518337 | + | 0.855176i | \(0.673449\pi\) | |||||||
\(318\) | −17.0321 | + | 0.645761i | −0.955114 | + | 0.0362125i | ||||
\(319\) | −7.49459 | − | 5.33687i | −0.419616 | − | 0.298807i | ||||
\(320\) | −6.78710 | + | 8.21086i | −0.379410 | + | 0.459001i | ||||
\(321\) | −26.2160 | + | 2.77401i | −1.46323 | + | 0.154830i | ||||
\(322\) | −2.48446 | − | 0.915708i | −0.138454 | − | 0.0510304i | ||||
\(323\) | 5.69134 | + | 16.4440i | 0.316675 | + | 0.914971i | ||||
\(324\) | −11.8016 | − | 13.5913i | −0.655643 | − | 0.755071i | ||||
\(325\) | 1.01911 | − | 0.801435i | 0.0565299 | − | 0.0444556i | ||||
\(326\) | −10.0362 | − | 4.82733i | −0.555856 | − | 0.267361i | ||||
\(327\) | −25.0738 | − | 4.56727i | −1.38658 | − | 0.252571i | ||||
\(328\) | 28.8634 | − | 8.09464i | 1.59371 | − | 0.446951i | ||||
\(329\) | 0.0467291 | + | 0.489369i | 0.00257626 | + | 0.0269798i | ||||
\(330\) | 3.31386 | + | 2.40859i | 0.182422 | + | 0.132588i | ||||
\(331\) | −7.83977 | − | 15.2070i | −0.430913 | − | 0.835854i | −0.999909 | − | 0.0135137i | \(-0.995698\pi\) |
0.568996 | − | 0.822340i | \(-0.307332\pi\) | |||||||
\(332\) | −7.31229 | + | 14.4578i | −0.401314 | + | 0.793477i | ||||
\(333\) | 0.985662 | − | 0.0201532i | 0.0540139 | − | 0.00110439i | ||||
\(334\) | −1.67431 | + | 10.1982i | −0.0916140 | + | 0.558020i | ||||
\(335\) | 1.61694 | + | 10.7790i | 0.0883430 | + | 0.588922i | ||||
\(336\) | −0.279776 | − | 10.8756i | −0.0152631 | − | 0.593311i | ||||
\(337\) | −1.09976 | − | 4.53329i | −0.0599080 | − | 0.246944i | 0.933982 | − | 0.357320i | \(-0.116310\pi\) |
−0.993890 | + | 0.110376i | \(0.964794\pi\) | |||||||
\(338\) | 17.3156 | + | 5.46136i | 0.941847 | + | 0.297059i | ||||
\(339\) | 4.13725 | + | 1.83854i | 0.224704 | + | 0.0998560i | ||||
\(340\) | 0.592512 | + | 5.73507i | 0.0321335 | + | 0.311028i | ||||
\(341\) | −0.0450914 | − | 0.472219i | −0.00244184 | − | 0.0255721i | ||||
\(342\) | 12.6907 | + | 31.6522i | 0.686232 | + | 1.71156i | ||||
\(343\) | −13.6881 | + | 11.8608i | −0.739086 | + | 0.640422i | ||||
\(344\) | −16.9177 | − | 16.5290i | −0.912144 | − | 0.891182i | ||||
\(345\) | 2.67900 | + | 0.620994i | 0.144233 | + | 0.0334332i | ||||
\(346\) | −32.7888 | − | 8.64973i | −1.76274 | − | 0.465012i | ||||
\(347\) | −1.24180 | − | 3.58794i | −0.0666632 | − | 0.192611i | 0.906749 | − | 0.421670i | \(-0.138556\pi\) |
−0.973412 | + | 0.229060i | \(0.926435\pi\) | |||||||
\(348\) | −4.06216 | − | 25.0488i | −0.217755 | − | 1.34276i | ||||
\(349\) | −12.4839 | − | 8.02294i | −0.668250 | − | 0.429458i | 0.162044 | − | 0.986783i | \(-0.448191\pi\) |
−0.830294 | + | 0.557325i | \(0.811828\pi\) | |||||||
\(350\) | −7.11180 | + | 0.878281i | −0.380142 | + | 0.0469461i | ||||
\(351\) | 2.06115 | + | 0.332065i | 0.110016 | + | 0.0177243i | ||||
\(352\) | −6.82590 | + | 1.97148i | −0.363822 | + | 0.105080i | ||||
\(353\) | −12.2977 | − | 0.585813i | −0.654542 | − | 0.0311797i | −0.282316 | − | 0.959322i | \(-0.591103\pi\) |
−0.372227 | + | 0.928142i | \(0.621406\pi\) | |||||||
\(354\) | 2.66324 | − | 10.5309i | 0.141549 | − | 0.559712i | ||||
\(355\) | −1.57085 | + | 1.99750i | −0.0833720 | + | 0.106016i | ||||
\(356\) | −5.82566 | + | 1.75971i | −0.308759 | + | 0.0932647i | ||||
\(357\) | −4.30272 | − | 4.01948i | −0.227724 | − | 0.212733i | ||||
\(358\) | −4.52297 | − | 20.4107i | −0.239046 | − | 1.07874i | ||||
\(359\) | −23.8177 | + | 15.3067i | −1.25705 | + | 0.807856i | −0.987877 | − | 0.155237i | \(-0.950386\pi\) |
−0.269170 | + | 0.963093i | \(0.586749\pi\) | |||||||
\(360\) | 1.70042 | + | 11.1704i | 0.0896201 | + | 0.588729i | ||||
\(361\) | −2.17004 | − | 45.5547i | −0.114213 | − | 2.39762i | ||||
\(362\) | −23.3347 | − | 15.6619i | −1.22645 | − | 0.823172i | ||||
\(363\) | −5.49520 | − | 15.3673i | −0.288423 | − | 0.806574i | ||||
\(364\) | 0.833681 | + | 0.947188i | 0.0436967 | + | 0.0496461i | ||||
\(365\) | 1.07089 | − | 0.618278i | 0.0560529 | − | 0.0323621i | ||||
\(366\) | 11.9885 | + | 14.1098i | 0.626648 | + | 0.737531i | ||||
\(367\) | 12.7677 | − | 31.8921i | 0.666466 | − | 1.66475i | −0.0778831 | − | 0.996962i | \(-0.524816\pi\) |
0.744350 | − | 0.667790i | \(-0.232760\pi\) | |||||||
\(368\) | −3.70285 | + | 3.00598i | −0.193024 | + | 0.156698i | ||||
\(369\) | 13.9887 | − | 28.5528i | 0.728224 | − | 1.48640i | ||||
\(370\) | −0.529671 | − | 0.320043i | −0.0275363 | − | 0.0166383i | ||||
\(371\) | −10.7290 | + | 2.06785i | −0.557023 | + | 0.107357i | ||||
\(372\) | 0.838876 | − | 1.00402i | 0.0434937 | − | 0.0520558i | ||||
\(373\) | 7.82556 | − | 13.5543i | 0.405192 | − | 0.701814i | −0.589152 | − | 0.808023i | \(-0.700538\pi\) |
0.994344 | + | 0.106209i | \(0.0338712\pi\) | |||||||
\(374\) | −1.82979 | + | 3.38211i | −0.0946164 | + | 0.174885i | ||||
\(375\) | 18.3929 | − | 4.66163i | 0.949803 | − | 0.240726i | ||||
\(376\) | 0.800921 | + | 0.377621i | 0.0413043 | + | 0.0194743i | ||||
\(377\) | 2.22435 | + | 1.92741i | 0.114560 | + | 0.0992666i | ||||
\(378\) | −8.80132 | − | 7.46241i | −0.452691 | − | 0.383825i | ||||
\(379\) | 12.4791 | + | 31.1712i | 0.641007 | + | 1.60116i | 0.790546 | + | 0.612403i | \(0.209797\pi\) |
−0.149539 | + | 0.988756i | \(0.547779\pi\) | |||||||
\(380\) | 3.88818 | − | 21.0503i | 0.199460 | − | 1.07986i | ||||
\(381\) | −6.22693 | + | 22.0378i | −0.319015 | + | 1.12903i | ||||
\(382\) | −19.5359 | + | 17.8980i | −0.999543 | + | 0.915743i | ||||
\(383\) | −21.4499 | − | 20.4524i | −1.09604 | − | 1.04507i | −0.998759 | − | 0.0498129i | \(-0.984138\pi\) |
−0.0972793 | − | 0.995257i | \(-0.531014\pi\) | |||||||
\(384\) | −17.1017 | − | 9.56724i | −0.872717 | − | 0.488226i | ||||
\(385\) | 2.33429 | + | 1.20341i | 0.118966 | + | 0.0613314i | ||||
\(386\) | −16.6522 | − | 16.5237i | −0.847576 | − | 0.841033i | ||||
\(387\) | −25.0287 | + | 1.70567i | −1.27228 | + | 0.0867041i | ||||
\(388\) | −12.4278 | − | 15.5537i | −0.630926 | − | 0.789618i | ||||
\(389\) | 6.44550 | − | 33.4424i | 0.326800 | − | 1.69560i | −0.332000 | − | 0.943279i | \(-0.607723\pi\) |
0.658800 | − | 0.752318i | \(-0.271064\pi\) | |||||||
\(390\) | −0.982049 | − | 0.867777i | −0.0497280 | − | 0.0439416i | ||||
\(391\) | −0.245370 | + | 2.56963i | −0.0124089 | + | 0.129952i | ||||
\(392\) | 2.27359 | + | 12.6216i | 0.114834 | + | 0.637489i | ||||
\(393\) | −12.7395 | + | 5.25184i | −0.642623 | + | 0.264920i | ||||
\(394\) | −13.4344 | − | 21.8496i | −0.676816 | − | 1.10077i | ||||
\(395\) | 0.357955 | − | 0.341310i | 0.0180107 | − | 0.0171732i | ||||
\(396\) | −3.26296 | + | 6.79284i | −0.163970 | + | 0.341353i | ||||
\(397\) | 12.4869 | + | 27.3425i | 0.626699 | + | 1.37228i | 0.910545 | + | 0.413410i | \(0.135662\pi\) |
−0.283846 | + | 0.958870i | \(0.591610\pi\) | |||||||
\(398\) | 25.8440 | − | 8.37193i | 1.29544 | − | 0.419647i | ||||
\(399\) | 11.1235 | + | 18.8196i | 0.556873 | + | 0.942159i | ||||
\(400\) | −5.17930 | + | 11.8226i | −0.258965 | + | 0.591130i | ||||
\(401\) | − | 3.24464i | − | 0.162030i | −0.996713 | − | 0.0810148i | \(-0.974184\pi\) | ||
0.996713 | − | 0.0810148i | \(-0.0258161\pi\) | |||||||
\(402\) | −18.9707 | + | 6.48933i | −0.946174 | + | 0.323658i | ||||
\(403\) | 0.151748i | 0.00755911i | ||||||||
\(404\) | 6.36158 | + | 0.557748i | 0.316501 | + | 0.0277490i | ||||
\(405\) | 10.0382 | + | 6.54681i | 0.498804 | + | 0.325313i | ||||
\(406\) | −5.01326 | − | 15.4758i | −0.248804 | − | 0.768053i | ||||
\(407\) | −0.171460 | − | 0.375445i | −0.00849895 | − | 0.0186101i | ||||
\(408\) | −10.1820 | + | 2.96811i | −0.504086 | + | 0.146943i | ||||
\(409\) | −2.97971 | + | 2.84115i | −0.147337 | + | 0.140486i | −0.760163 | − | 0.649732i | \(-0.774881\pi\) |
0.612826 | + | 0.790218i | \(0.290033\pi\) | |||||||
\(410\) | −17.0020 | + | 10.4538i | −0.839669 | + | 0.516278i | ||||
\(411\) | 9.65858 | + | 23.4290i | 0.476423 | + | 1.15567i | ||||
\(412\) | 5.90830 | + | 16.6523i | 0.291081 | + | 0.820399i | ||||
\(413\) | 0.661923 | − | 6.93197i | 0.0325711 | − | 0.341100i | ||||
\(414\) | −0.238085 | + | 5.05309i | −0.0117012 | + | 0.248346i | ||||
\(415\) | 2.04149 | − | 10.5923i | 0.100213 | − | 0.519954i | ||||
\(416\) | 2.23364 | − | 0.420250i | 0.109513 | − | 0.0206045i | ||||
\(417\) | −3.17793 | − | 2.21439i | −0.155624 | − | 0.108439i | ||||
\(418\) | 10.0561 | − | 10.1344i | 0.491862 | − | 0.495688i | ||||
\(419\) | 8.75938 | + | 4.51578i | 0.427924 | + | 0.220610i | 0.658714 | − | 0.752393i | \(-0.271101\pi\) |
−0.230790 | + | 0.973004i | \(0.574131\pi\) | |||||||
\(420\) | 2.16525 | + | 6.91217i | 0.105654 | + | 0.337279i | ||||
\(421\) | 1.05138 | + | 1.00249i | 0.0512410 | + | 0.0488582i | 0.715267 | − | 0.698851i | \(-0.246305\pi\) |
−0.664026 | + | 0.747709i | \(0.731154\pi\) | |||||||
\(422\) | −9.41863 | − | 10.2805i | −0.458492 | − | 0.500448i | ||||
\(423\) | 0.864597 | − | 0.366813i | 0.0420382 | − | 0.0178351i | ||||
\(424\) | −6.66305 | + | 18.5189i | −0.323587 | + | 0.899359i | ||||
\(425\) | 2.59635 | + | 6.48537i | 0.125942 | + | 0.314587i | ||||
\(426\) | −4.13388 | − | 2.18219i | −0.200287 | − | 0.105728i | ||||
\(427\) | 8.97024 | + | 7.77276i | 0.434100 | + | 0.376150i | ||||
\(428\) | −8.34952 | + | 29.2731i | −0.403590 | + | 1.41497i | ||||
\(429\) | −0.214737 | − | 0.847261i | −0.0103676 | − | 0.0409061i | ||||
\(430\) | 13.8504 | + | 7.49339i | 0.667927 | + | 0.361363i | ||||
\(431\) | −14.1428 | + | 24.4960i | −0.681235 | + | 1.17993i | 0.293370 | + | 0.955999i | \(0.405223\pi\) |
−0.974604 | + | 0.223934i | \(0.928110\pi\) | |||||||
\(432\) | −19.6512 | + | 6.76975i | −0.945470 | + | 0.325710i | ||||
\(433\) | 7.16645 | − | 1.38122i | 0.344397 | − | 0.0663772i | −0.0141197 | − | 0.999900i | \(-0.504495\pi\) |
0.358517 | + | 0.933523i | \(0.383282\pi\) | |||||||
\(434\) | 0.433753 | − | 0.717860i | 0.0208208 | − | 0.0344584i | ||||
\(435\) | 7.17533 | + | 15.2961i | 0.344031 | + | 0.733390i | ||||
\(436\) | −15.7183 | + | 24.8799i | −0.752769 | + | 1.19153i | ||||
\(437\) | 3.56196 | − | 8.89734i | 0.170392 | − | 0.425618i | ||||
\(438\) | 1.47283 | + | 1.73344i | 0.0703744 | + | 0.0828269i | ||||
\(439\) | 21.2896 | − | 12.2916i | 1.01610 | − | 0.586644i | 0.103127 | − | 0.994668i | \(-0.467115\pi\) |
0.912971 | + | 0.408024i | \(0.133782\pi\) | |||||||
\(440\) | 4.01036 | − | 2.50883i | 0.191186 | − | 0.119604i | ||||
\(441\) | 11.5913 | + | 7.11873i | 0.551966 | + | 0.338987i | ||||
\(442\) | 0.685537 | − | 1.02138i | 0.0326077 | − | 0.0485822i | ||||
\(443\) | −1.27611 | − | 26.7888i | −0.0606297 | − | 1.27277i | −0.800216 | − | 0.599712i | \(-0.795282\pi\) |
0.739586 | − | 0.673062i | \(-0.235021\pi\) | |||||||
\(444\) | 0.404034 | − | 1.06427i | 0.0191746 | − | 0.0505080i | ||||
\(445\) | 3.40861 | − | 2.19058i | 0.161584 | − | 0.103844i | ||||
\(446\) | 15.1911 | − | 3.36632i | 0.719321 | − | 0.159400i | ||||
\(447\) | 15.4553 | − | 16.5444i | 0.731012 | − | 0.782525i | ||||
\(448\) | −11.7677 | − | 4.39654i | −0.555972 | − | 0.207717i | ||||
\(449\) | −22.9121 | + | 29.1352i | −1.08129 | + | 1.37497i | −0.159539 | + | 0.987192i | \(0.551001\pi\) |
−0.921751 | + | 0.387781i | \(0.873242\pi\) | |||||||
\(450\) | 5.69360 | + | 12.4502i | 0.268399 | + | 0.586907i | ||||
\(451\) | −13.2964 | − | 0.633385i | −0.626102 | − | 0.0298249i | ||||
\(452\) | 3.75544 | − | 3.63677i | 0.176641 | − | 0.171059i | ||||
\(453\) | 16.9390 | − | 0.980534i | 0.795864 | − | 0.0460695i | ||||
\(454\) | −0.292792 | − | 2.37086i | −0.0137414 | − | 0.111270i | ||||
\(455\) | −0.706755 | − | 0.454204i | −0.0331332 | − | 0.0212934i | ||||
\(456\) | 39.3770 | + | 0.0769756i | 1.84400 | + | 0.00360471i | ||||
\(457\) | −3.40645 | − | 9.84229i | −0.159347 | − | 0.460403i | 0.836860 | − | 0.547417i | \(-0.184389\pi\) |
−0.996207 | + | 0.0870140i | \(0.972268\pi\) | |||||||
\(458\) | −5.38632 | + | 20.4181i | −0.251686 | + | 0.954076i | ||||
\(459\) | −4.84568 | + | 10.1520i | −0.226177 | + | 0.473855i | ||||
\(460\) | 1.82185 | − | 2.60085i | 0.0849443 | − | 0.121265i | ||||
\(461\) | −15.9427 | + | 13.8144i | −0.742525 | + | 0.643401i | −0.941658 | − | 0.336571i | \(-0.890733\pi\) |
0.199133 | + | 0.979972i | \(0.436187\pi\) | |||||||
\(462\) | −1.40595 | + | 4.62185i | −0.0654109 | + | 0.215028i | ||||
\(463\) | −1.43328 | − | 15.0099i | −0.0666099 | − | 0.697571i | −0.965675 | − | 0.259755i | \(-0.916358\pi\) |
0.899065 | − | 0.437816i | \(-0.144248\pi\) | |||||||
\(464\) | −28.5794 | − | 6.46602i | −1.32676 | − | 0.300177i | ||||
\(465\) | −0.353749 | + | 0.796036i | −0.0164047 | + | 0.0369153i | ||||
\(466\) | 0.574089 | − | 1.82019i | 0.0265942 | − | 0.0843188i | ||||
\(467\) | 9.70176 | + | 39.9912i | 0.448944 | + | 1.85057i | 0.521565 | + | 0.853212i | \(0.325348\pi\) |
−0.0726213 | + | 0.997360i | \(0.523136\pi\) | |||||||
\(468\) | 1.24564 | − | 2.06394i | 0.0575797 | − | 0.0954059i | ||||
\(469\) | −11.3883 | + | 5.95925i | −0.525862 | + | 0.275173i | ||||
\(470\) | −0.581765 | − | 0.0955123i | −0.0268348 | − | 0.00440565i | ||||
\(471\) | −12.9413 | − | 9.96479i | −0.596306 | − | 0.459153i | ||||
\(472\) | −10.1278 | − | 7.39946i | −0.466169 | − | 0.340588i | ||||
\(473\) | 4.81267 | + | 9.33528i | 0.221287 | + | 0.429236i | ||||
\(474\) | 0.735953 | + | 0.534908i | 0.0338034 | + | 0.0245691i | ||||
\(475\) | −2.46544 | − | 25.8192i | −0.113122 | − | 1.18467i | ||||
\(476\) | −6.16250 | + | 2.87224i | −0.282458 | + | 0.131649i | ||||
\(477\) | 9.94277 | + | 18.3550i | 0.455248 | + | 0.840419i | ||||
\(478\) | 10.7501 | − | 22.3500i | 0.491700 | − | 1.02227i | ||||
\(479\) | 1.78606 | − | 1.40458i | 0.0816073 | − | 0.0641767i | −0.576522 | − | 0.817082i | \(-0.695590\pi\) |
0.658129 | + | 0.752905i | \(0.271348\pi\) | |||||||
\(480\) | 12.6968 | + | 3.00243i | 0.579529 | + | 0.137042i | ||||
\(481\) | 0.0431845 | + | 0.124773i | 0.00196904 | + | 0.00568917i | ||||
\(482\) | 4.64833 | − | 12.6117i | 0.211726 | − | 0.574446i | ||||
\(483\) | 0.341242 | + | 3.22493i | 0.0155271 | + | 0.146739i | ||||
\(484\) | −18.8301 | − | 0.750794i | −0.855912 | − | 0.0341270i | ||||
\(485\) | 10.7976 | + | 7.68891i | 0.490292 | + | 0.349135i | ||||
\(486\) | −8.52832 | + | 20.3290i | −0.386852 | + | 0.922142i | ||||
\(487\) | −2.91964 | − | 0.139080i | −0.132302 | − | 0.00630231i | −0.0186734 | − | 0.999826i | \(-0.505944\pi\) |
−0.113628 | + | 0.993523i | \(0.536247\pi\) | |||||||
\(488\) | 20.2872 | − | 6.74600i | 0.918360 | − | 0.305377i | ||||
\(489\) | 0.139420 | + | 13.6391i | 0.00630480 | + | 0.616780i | ||||
\(490\) | −3.76070 | − | 7.66601i | −0.169891 | − | 0.346315i | ||||
\(491\) | −3.92759 | − | 27.3170i | −0.177250 | − | 1.23280i | −0.863091 | − | 0.505049i | \(-0.831475\pi\) |
0.685841 | − | 0.727751i | \(-0.259435\pi\) | |||||||
\(492\) | −24.5374 | − | 27.3102i | −1.10623 | − | 1.23124i | ||||
\(493\) | −13.3413 | + | 8.57394i | −0.600863 | + | 0.386151i | ||||
\(494\) | −3.51052 | + | 2.92148i | −0.157946 | + | 0.131444i | ||||
\(495\) | 0.848640 | − | 4.94512i | 0.0381435 | − | 0.222267i | ||||
\(496\) | −0.712990 | − | 1.33191i | −0.0320142 | − | 0.0598047i | ||||
\(497\) | −2.83182 | − | 0.980104i | −0.127025 | − | 0.0439637i | ||||
\(498\) | 19.8421 | + | 0.192549i | 0.889148 | + | 0.00862832i | ||||
\(499\) | 9.94167 | − | 5.73983i | 0.445050 | − | 0.256950i | −0.260687 | − | 0.965423i | \(-0.583949\pi\) |
0.705738 | + | 0.708473i | \(0.250616\pi\) | |||||||
\(500\) | 2.94994 | − | 21.7103i | 0.131926 | − | 0.970912i | ||||
\(501\) | 12.1076 | − | 3.68995i | 0.540928 | − | 0.164855i | ||||
\(502\) | −4.91651 | − | 2.08287i | −0.219435 | − | 0.0929630i | ||||
\(503\) | 1.15909 | − | 4.77785i | 0.0516814 | − | 0.213034i | −0.940116 | − | 0.340855i | \(-0.889283\pi\) |
0.991797 | + | 0.127822i | \(0.0407985\pi\) | |||||||
\(504\) | −11.7921 | + | 6.20320i | −0.525264 | + | 0.276312i | ||||
\(505\) | −4.17497 | + | 0.804659i | −0.185784 | + | 0.0358068i | ||||
\(506\) | 1.98146 | − | 0.747804i | 0.0880867 | − | 0.0332440i | ||||
\(507\) | −3.38948 | − | 21.9772i | −0.150532 | − | 0.976042i | ||||
\(508\) | 20.9120 | + | 16.1847i | 0.927819 | + | 0.718079i | ||||
\(509\) | −7.74189 | − | 3.53560i | −0.343153 | − | 0.156713i | 0.236382 | − | 0.971660i | \(-0.424038\pi\) |
−0.579535 | + | 0.814948i | \(0.696766\pi\) | |||||||
\(510\) | 5.97718 | − | 3.75985i | 0.264674 | − | 0.166489i | ||||
\(511\) | 1.10203 | + | 0.954910i | 0.0487507 | + | 0.0422427i | ||||
\(512\) | −17.6304 | + | 14.1834i | −0.779162 | + | 0.626823i | ||||
\(513\) | 27.8813 | − | 31.0967i | 1.23099 | − | 1.37295i | ||||
\(514\) | 0.425515 | − | 21.3525i | 0.0187686 | − | 0.941817i | ||||
\(515\) | −6.82397 | − | 9.58292i | −0.300700 | − | 0.422274i | ||||
\(516\) | −8.98095 | + | 27.5403i | −0.395364 | + | 1.21239i | ||||
\(517\) | −0.284574 | − | 0.271341i | −0.0125155 | − | 0.0119335i | ||||
\(518\) | 0.152360 | − | 0.713690i | 0.00669433 | − | 0.0313578i | ||||
\(519\) | 8.27638 | + | 40.6988i | 0.363293 | + | 1.78648i | ||||
\(520\) | −1.35338 | + | 0.676985i | −0.0593496 | + | 0.0296878i | ||||
\(521\) | 11.6776 | + | 39.7704i | 0.511607 | + | 1.74237i | 0.657874 | + | 0.753128i | \(0.271456\pi\) |
−0.146267 | + | 0.989245i | \(0.546726\pi\) | |||||||
\(522\) | −25.3070 | + | 18.0408i | −1.10766 | + | 0.789624i | ||||
\(523\) | 0.500274 | − | 2.59567i | 0.0218755 | − | 0.113501i | −0.969350 | − | 0.245685i | \(-0.920987\pi\) |
0.991225 | + | 0.132185i | \(0.0421992\pi\) | |||||||
\(524\) | 0.123294 | + | 15.9108i | 0.00538610 | + | 0.695067i | ||||
\(525\) | 4.82005 | + | 7.33421i | 0.210364 | + | 0.320091i | ||||
\(526\) | −14.4790 | − | 26.2737i | −0.631313 | − | 1.14559i | ||||
\(527\) | −0.784534 | − | 0.230360i | −0.0341748 | − | 0.0100346i | ||||
\(528\) | 5.86563 | + | 6.42758i | 0.255269 | + | 0.279725i | ||||
\(529\) | −15.6170 | + | 14.8907i | −0.678998 | + | 0.647423i | ||||
\(530\) | 0.884163 | − | 13.0739i | 0.0384056 | − | 0.567893i | ||||
\(531\) | −13.0091 | + | 2.78427i | −0.564548 | + | 0.120827i | ||||
\(532\) | 24.9576 | − | 3.78597i | 1.08205 | − | 0.164143i | ||||
\(533\) | 4.21494 | + | 0.606017i | 0.182569 | + | 0.0262495i | ||||
\(534\) | 5.09081 | + | 5.44389i | 0.220301 | + | 0.235580i | ||||
\(535\) | − | 20.2674i | − | 0.876237i | ||||||
\(536\) | −1.24215 | + | 23.1183i | −0.0536527 | + | 0.998560i | ||||
\(537\) | −19.9635 | + | 16.0324i | −0.861489 | + | 0.691851i | ||||
\(538\) | 0.467801 | + | 6.20288i | 0.0201683 | + | 0.267425i | ||||
\(539\) | 0.810472 | − | 5.63696i | 0.0349095 | − | 0.242801i | ||||
\(540\) | 11.3457 | − | 7.92320i | 0.488242 | − | 0.340960i | ||||
\(541\) | −10.6960 | − | 23.4209i | −0.459856 | − | 1.00694i | −0.987520 | − | 0.157491i | \(-0.949659\pi\) |
0.527665 | − | 0.849453i | \(-0.323068\pi\) | |||||||
\(542\) | 30.5849 | + | 2.06840i | 1.31373 | + | 0.0888454i | ||||
\(543\) | −4.54992 | + | 34.1175i | −0.195256 | + | 1.46412i | ||||
\(544\) | −1.21808 | + | 12.1858i | −0.0522246 | + | 0.522463i | ||||
\(545\) | 5.52026 | − | 18.8003i | 0.236462 | − | 0.805316i | ||||
\(546\) | 0.588264 | − | 1.42907i | 0.0251754 | − | 0.0611583i | ||||
\(547\) | 2.96983 | − | 31.1015i | 0.126981 | − | 1.32980i | −0.677367 | − | 0.735646i | \(-0.736879\pi\) |
0.804348 | − | 0.594159i | \(-0.202515\pi\) | |||||||
\(548\) | 29.2613 | − | 0.226747i | 1.24998 | − | 0.00968616i | ||||
\(549\) | 8.99645 | − | 20.8154i | 0.383959 | − | 0.888378i | ||||
\(550\) | 3.83895 | − | 4.25600i | 0.163693 | − | 0.181476i | ||||
\(551\) | 56.4953 | − | 16.5885i | 2.40678 | − | 0.706695i | ||||
\(552\) | 5.30866 | + | 2.43694i | 0.225952 | + | 0.103723i | ||||
\(553\) | 0.518407 | + | 0.267258i | 0.0220449 | + | 0.0113649i | ||||
\(554\) | −37.6142 | − | 8.02997i | −1.59808 | − | 0.341161i | ||||
\(555\) | −0.0643305 | + | 0.755202i | −0.00273068 | + | 0.0320565i | ||||
\(556\) | −3.74370 | + | 2.44713i | −0.158768 | + | 0.103781i | ||||
\(557\) | −6.69693 | + | 4.76886i | −0.283758 | + | 0.202063i | −0.713069 | − | 0.701093i | \(-0.752696\pi\) |
0.429312 | + | 0.903156i | \(0.358756\pi\) | |||||||
\(558\) | −1.55741 | − | 0.376970i | −0.0659306 | − | 0.0159584i | ||||
\(559\) | −1.24872 | − | 3.11914i | −0.0528150 | − | 0.131926i | ||||
\(560\) | 8.33737 | + | 0.665916i | 0.352318 | + | 0.0281401i | ||||
\(561\) | 4.70629 | + | 0.175994i | 0.198700 | + | 0.00743049i | ||||
\(562\) | 1.63061 | − | 14.1011i | 0.0687830 | − | 0.594821i | ||||
\(563\) | 14.8135 | − | 32.4370i | 0.624313 | − | 1.36706i | −0.288027 | − | 0.957622i | \(-0.592999\pi\) |
0.912340 | − | 0.409433i | \(-0.134274\pi\) | |||||||
\(564\) | −0.0194879 | − | 1.08431i | −0.000820587 | − | 0.0456577i | ||||
\(565\) | −1.74032 | + | 3.01433i | −0.0732160 | + | 0.126814i | ||||
\(566\) | −5.21318 | − | 13.8134i | −0.219126 | − | 0.580620i | ||||
\(567\) | −3.42397 | + | 13.7114i | −0.143793 | + | 0.575825i | ||||
\(568\) | −4.12200 | + | 3.48477i | −0.172955 | + | 0.146218i | ||||
\(569\) | −21.6522 | − | 5.25277i | −0.907708 | − | 0.220208i | −0.245385 | − | 0.969426i | \(-0.578914\pi\) |
−0.662323 | + | 0.749218i | \(0.730429\pi\) | |||||||
\(570\) | −25.2258 | + | 7.14183i | −1.05659 | + | 0.299138i | ||||
\(571\) | 9.02301 | − | 22.5384i | 0.377601 | − | 0.943202i | −0.610861 | − | 0.791738i | \(-0.709177\pi\) |
0.988463 | − | 0.151465i | \(-0.0483990\pi\) | |||||||
\(572\) | −1.00008 | − | 0.135888i | −0.0418152 | − | 0.00568177i | ||||
\(573\) | 30.2470 | + | 11.7518i | 1.26359 | + | 0.490938i | ||||
\(574\) | −18.2070 | − | 14.9147i | −0.759945 | − | 0.622528i | ||||
\(575\) | 1.25839 | − | 3.63589i | 0.0524786 | − | 0.151627i | ||||
\(576\) | −1.23568 | + | 23.9682i | −0.0514868 | + | 0.998674i | ||||
\(577\) | −0.154498 | − | 3.24331i | −0.00643183 | − | 0.135021i | −0.999799 | − | 0.0200372i | \(-0.993622\pi\) |
0.993367 | − | 0.114983i | \(-0.0366815\pi\) | |||||||
\(578\) | −11.1389 | − | 13.3848i | −0.463318 | − | 0.556735i | ||||
\(579\) | −9.11910 | + | 27.2458i | −0.378977 | + | 1.13230i | ||||
\(580\) | 19.4793 | − | 1.07926i | 0.808832 | − | 0.0448136i | ||||
\(581\) | 12.5911 | − | 1.81033i | 0.522369 | − | 0.0751053i | ||||
\(582\) | −10.3440 | + | 22.0806i | −0.428772 | + | 0.915270i | ||||
\(583\) | 5.40242 | − | 6.86974i | 0.223745 | − | 0.284515i | ||||
\(584\) | 2.49236 | − | 0.828770i | 0.103134 | − | 0.0342948i | ||||
\(585\) | −0.420619 | + | 1.54896i | −0.0173904 | + | 0.0640415i | ||||
\(586\) | −7.09853 | − | 5.27110i | −0.293237 | − | 0.217747i | ||||
\(587\) | −2.96514 | + | 4.16396i | −0.122385 | + | 0.171865i | −0.871223 | − | 0.490888i | \(-0.836673\pi\) |
0.748838 | + | 0.662753i | \(0.230612\pi\) | |||||||
\(588\) | 12.6288 | − | 9.33945i | 0.520804 | − | 0.385152i | ||||
\(589\) | 2.55385 | + | 1.64126i | 0.105230 | + | 0.0676270i | ||||
\(590\) | 7.83580 | + | 2.88807i | 0.322595 | + | 0.118900i | ||||
\(591\) | −16.7126 | + | 26.5993i | −0.687466 | + | 1.09415i | ||||
\(592\) | −0.965285 | − | 0.892250i | −0.0396730 | − | 0.0366713i | ||||
\(593\) | −12.0063 | − | 15.2673i | −0.493040 | − | 0.626951i | 0.474322 | − | 0.880352i | \(-0.342693\pi\) |
−0.967361 | + | 0.253401i | \(0.918451\pi\) | |||||||
\(594\) | 9.22901 | − | 0.0991217i | 0.378671 | − | 0.00406701i | ||||
\(595\) | 3.42111 | − | 2.96441i | 0.140252 | − | 0.121529i | ||||
\(596\) | −11.0441 | − | 23.6955i | −0.452383 | − | 0.970605i | ||||
\(597\) | −23.2050 | − | 23.8439i | −0.949717 | − | 0.975865i | ||||
\(598\) | −0.653731 | + | 0.177884i | −0.0267330 | + | 0.00727422i | ||||
\(599\) | 15.4293 | − | 7.95438i | 0.630426 | − | 0.325007i | −0.113231 | − | 0.993569i | \(-0.536120\pi\) |
0.743657 | + | 0.668561i | \(0.233090\pi\) | |||||||
\(600\) | 15.7917 | − | 0.721315i | 0.644694 | − | 0.0294475i | ||||
\(601\) | −5.24221 | − | 21.6087i | −0.213834 | − | 0.881437i | −0.973049 | − | 0.230597i | \(-0.925932\pi\) |
0.759215 | − | 0.650840i | \(-0.225583\pi\) | |||||||
\(602\) | −3.00849 | + | 18.3247i | −0.122617 | + | 0.746860i | ||||
\(603\) | 17.4113 | + | 17.3161i | 0.709043 | + | 0.705165i | ||||
\(604\) | 6.26433 | − | 18.5638i | 0.254892 | − | 0.755349i | ||||
\(605\) | 12.1934 | − | 2.95808i | 0.495731 | − | 0.120263i | ||||
\(606\) | −2.83625 | − | 7.28882i | −0.115215 | − | 0.296088i | ||||
\(607\) | −2.70028 | − | 5.23782i | −0.109601 | − | 0.212596i | 0.827656 | − | 0.561236i | \(-0.189674\pi\) |
−0.937257 | + | 0.348640i | \(0.886644\pi\) | |||||||
\(608\) | 17.0858 | − | 42.1365i | 0.692919 | − | 1.70886i | ||||
\(609\) | −14.2781 | + | 13.8956i | −0.578579 | + | 0.563076i | ||||
\(610\) | −11.7573 | + | 8.02414i | −0.476038 | + | 0.324888i | ||||
\(611\) | 0.0823709 | + | 0.0950611i | 0.00333237 | + | 0.00384576i | ||||
\(612\) | 8.77961 | + | 9.57307i | 0.354895 | + | 0.386969i | ||||
\(613\) | 28.0984 | − | 22.0969i | 1.13489 | − | 0.892484i | 0.139671 | − | 0.990198i | \(-0.455395\pi\) |
0.995215 | + | 0.0977140i | \(0.0311530\pi\) | |||||||
\(614\) | −3.96619 | − | 1.04628i | −0.160062 | − | 0.0422246i | ||||
\(615\) | 20.6979 | + | 13.0047i | 0.834620 | + | 0.524401i | ||||
\(616\) | 4.34254 | + | 3.50142i | 0.174966 | + | 0.141076i | ||||
\(617\) | −5.66757 | + | 8.81892i | −0.228168 | + | 0.355036i | −0.936395 | − | 0.350949i | \(-0.885859\pi\) |
0.708227 | + | 0.705985i | \(0.249495\pi\) | |||||||
\(618\) | 15.0849 | − | 15.5163i | 0.606804 | − | 0.624157i | ||||
\(619\) | 27.4318 | + | 19.5341i | 1.10258 | + | 0.785140i | 0.978318 | − | 0.207110i | \(-0.0664056\pi\) |
0.124258 | + | 0.992250i | \(0.460345\pi\) | |||||||
\(620\) | 0.699741 | + | 0.722572i | 0.0281023 | + | 0.0290192i | ||||
\(621\) | 5.67850 | − | 2.47795i | 0.227870 | − | 0.0994366i | ||||
\(622\) | −26.8537 | + | 20.2653i | −1.07674 | + | 0.812563i | ||||
\(623\) | 3.75580 | + | 2.95359i | 0.150473 | + | 0.118333i | ||||
\(624\) | −1.67245 | − | 2.22521i | −0.0669515 | − | 0.0890797i | ||||
\(625\) | −0.220102 | − | 1.53085i | −0.00880410 | − | 0.0612338i | ||||
\(626\) | 4.71558 | + | 21.2799i | 0.188473 | + | 0.850516i | ||||
\(627\) | −16.5815 | − | 5.54979i | −0.662203 | − | 0.221637i | ||||
\(628\) | −16.2597 | + | 9.55629i | −0.648833 | + | 0.381338i | ||||
\(629\) | −0.710631 | + | 0.0338515i | −0.0283347 | + | 0.00134975i | ||||
\(630\) | 6.41728 | − | 6.12521i | 0.255670 | − | 0.244034i | ||||
\(631\) | 14.9631 | + | 5.17877i | 0.595670 | + | 0.206163i | 0.608234 | − | 0.793758i | \(-0.291878\pi\) |
−0.0125641 | + | 0.999921i | \(0.503999\pi\) | |||||||
\(632\) | 0.890635 | − | 0.557171i | 0.0354276 | − | 0.0221631i | ||||
\(633\) | −6.18424 | + | 15.9171i | −0.245802 | + | 0.632649i | ||||
\(634\) | 24.0149 | − | 0.664767i | 0.953753 | − | 0.0264013i | ||||
\(635\) | −16.3449 | − | 6.54352i | −0.648629 | − | 0.259672i | ||||
\(636\) | 23.9502 | − | 2.72208i | 0.949686 | − | 0.107938i | ||||
\(637\) | −0.429502 | + | 1.77043i | −0.0170175 | + | 0.0701471i | ||||
\(638\) | 11.1365 | + | 6.72903i | 0.440899 | + | 0.266405i | ||||
\(639\) | −0.155453 | + | 5.72295i | −0.00614961 | + | 0.226396i | ||||
\(640\) | 8.69797 | − | 12.3009i | 0.343818 | − | 0.486234i | ||||
\(641\) | −3.03653 | − | 1.75314i | −0.119936 | − | 0.0692449i | 0.438832 | − | 0.898569i | \(-0.355392\pi\) |
−0.558768 | + | 0.829324i | \(0.688726\pi\) | |||||||
\(642\) | 36.6750 | − | 6.70009i | 1.44745 | − | 0.264432i | ||||
\(643\) | −13.1414 | − | 6.00147i | −0.518246 | − | 0.236675i | 0.139081 | − | 0.990281i | \(-0.455585\pi\) |
−0.657326 | + | 0.753606i | \(0.728313\pi\) | |||||||
\(644\) | 3.60100 | + | 1.02711i | 0.141899 | + | 0.0404737i | ||||
\(645\) | 0.720734 | − | 19.2733i | 0.0283789 | − | 0.758884i | ||||
\(646\) | −9.77486 | − | 22.5842i | −0.384587 | − | 0.888565i | ||||
\(647\) | −18.8067 | + | 7.52906i | −0.739367 | + | 0.295998i | −0.710608 | − | 0.703589i | \(-0.751580\pi\) |
−0.0287592 | + | 0.999586i | \(0.509156\pi\) | |||||||
\(648\) | 18.0882 | + | 17.9114i | 0.710571 | + | 0.703626i | ||||
\(649\) | 3.23077 | + | 4.53699i | 0.126819 | + | 0.178092i | ||||
\(650\) | −1.35192 | + | 1.23858i | −0.0530267 | + | 0.0485810i | ||||
\(651\) | −1.02352 | − | 0.0871867i | −0.0401149 | − | 0.00341712i | ||||
\(652\) | 14.6666 | + | 5.74016i | 0.574388 | + | 0.224802i | ||||
\(653\) | 9.67162 | − | 18.7603i | 0.378480 | − | 0.734148i | −0.620257 | − | 0.784399i | \(-0.712972\pi\) |
0.998737 | + | 0.0502505i | \(0.0160020\pi\) | |||||||
\(654\) | 35.8450 | + | 3.77413i | 1.40165 | + | 0.147580i | ||||
\(655\) | −2.98461 | − | 10.1646i | −0.116618 | − | 0.397165i | ||||
\(656\) | −39.8425 | + | 14.4848i | −1.55559 | + | 0.565538i | ||||
\(657\) | 1.10525 | − | 2.55724i | 0.0431197 | − | 0.0997674i | ||||
\(658\) | −0.117944 | − | 0.685143i | −0.00459793 | − | 0.0267097i | ||||
\(659\) | 4.75584 | + | 0.454128i | 0.185261 | + | 0.0176903i | 0.187274 | − | 0.982308i | \(-0.440035\pi\) |
−0.00201302 | + | 0.999998i | \(0.500641\pi\) | |||||||
\(660\) | −4.92939 | − | 3.04417i | −0.191876 | − | 0.118494i | ||||
\(661\) | −3.15566 | − | 0.926587i | −0.122741 | − | 0.0360400i | 0.219785 | − | 0.975548i | \(-0.429464\pi\) |
−0.342526 | + | 0.939508i | \(0.611283\pi\) | |||||||
\(662\) | 12.6730 | + | 20.6113i | 0.492551 | + | 0.801081i | ||||
\(663\) | −1.49336 | − | 0.199154i | −0.0579972 | − | 0.00773451i | ||||
\(664\) | 8.77421 | − | 21.1663i | 0.340505 | − | 0.821410i | ||||
\(665\) | −15.2881 | + | 6.98184i | −0.592847 | + | 0.270744i | ||||
\(666\) | −1.38785 | + | 0.133249i | −0.0537779 | + | 0.00516328i | ||||
\(667\) | 8.64554 | + | 1.24304i | 0.334757 | + | 0.0481307i | ||||
\(668\) | 1.27651 | − | 14.5597i | 0.0493897 | − | 0.563330i | ||||
\(669\) | −11.9325 | − | 14.8583i | −0.461337 | − | 0.574455i | ||||
\(670\) | −3.42662 | − | 15.0287i | −0.132382 | − | 0.580611i | ||||
\(671\) | −9.49367 | −0.366499 | ||||||||
\(672\) | 1.55120 | + | 15.3071i | 0.0598387 | + | 0.590483i | ||||
\(673\) | −3.68981 | + | 25.6632i | −0.142232 | + | 0.989242i | 0.786262 | + | 0.617894i | \(0.212014\pi\) |
−0.928493 | + | 0.371349i | \(0.878895\pi\) | |||||||
\(674\) | 2.03303 | + | 6.27592i | 0.0783093 | + | 0.241739i | ||||
\(675\) | 10.5864 | − | 13.0024i | 0.407472 | − | 0.500464i | ||||
\(676\) | −24.9995 | − | 5.86007i | −0.961519 | − | 0.225387i | ||||
\(677\) | −18.8629 | − | 19.7828i | −0.724959 | − | 0.760315i | 0.253371 | − | 0.967369i | \(-0.418461\pi\) |
−0.978329 | + | 0.207055i | \(0.933612\pi\) | |||||||
\(678\) | −6.02992 | − | 2.15272i | −0.231578 | − | 0.0826747i | ||||
\(679\) | −4.40383 | + | 14.9981i | −0.169004 | + | 0.575573i | ||||
\(680\) | −1.44551 | − | 8.02462i | −0.0554328 | − | 0.307730i | ||||
\(681\) | −2.44501 | + | 1.60686i | −0.0936928 | + | 0.0615750i | ||||
\(682\) | 0.113810 | + | 0.661131i | 0.00435802 | + | 0.0253160i | ||||
\(683\) | −33.7153 | − | 6.49810i | −1.29008 | − | 0.248643i | −0.502352 | − | 0.864663i | \(-0.667532\pi\) |
−0.787730 | + | 0.616021i | \(0.788744\pi\) | |||||||
\(684\) | −21.2628 | − | 43.2865i | −0.813004 | − | 1.65510i | ||||
\(685\) | −18.6936 | + | 5.48894i | −0.714247 | + | 0.209722i | ||||
\(686\) | 18.0416 | − | 18.1819i | 0.688831 | − | 0.694190i | ||||
\(687\) | 25.3438 | − | 5.15383i | 0.966925 | − | 0.196631i | ||||
\(688\) | 25.6155 | + | 21.5100i | 0.976580 | + | 0.820062i | ||||
\(689\) | −1.92928 | + | 2.02337i | −0.0734999 | + | 0.0770844i | ||||
\(690\) | −3.84400 | − | 0.590810i | −0.146339 | − | 0.0224918i | ||||
\(691\) | −3.27757 | + | 2.33395i | −0.124685 | + | 0.0887877i | −0.640698 | − | 0.767793i | \(-0.721355\pi\) |
0.516013 | + | 0.856581i | \(0.327416\pi\) | |||||||
\(692\) | 47.1591 | + | 8.71071i | 1.79272 | + | 0.331132i | ||||
\(693\) | 5.83804 | − | 0.961577i | 0.221769 | − | 0.0365273i | ||||
\(694\) | 2.13278 | + | 4.92767i | 0.0809593 | + | 0.187052i | ||||
\(695\) | 1.95007 | − | 2.25050i | 0.0739702 | − | 0.0853662i | ||||
\(696\) | 8.39252 | + | 34.8920i | 0.318117 | + | 1.32258i | ||||
\(697\) | −9.53155 | + | 20.8712i | −0.361033 | + | 0.790552i | ||||
\(698\) | 18.4582 | + | 9.98631i | 0.698654 | + | 0.377988i | ||||
\(699\) | −2.31021 | + | 0.356297i | −0.0873802 | + | 0.0134764i | ||||
\(700\) | 9.93571 | − | 1.99492i | 0.375535 | − | 0.0754010i | ||||
\(701\) | 1.94582 | + | 10.0959i | 0.0734928 | + | 0.381317i | 0.999987 | + | 0.00500886i | \(0.00159438\pi\) |
−0.926495 | + | 0.376308i | \(0.877194\pi\) | |||||||
\(702\) | −2.94197 | − | 0.249071i | −0.111037 | − | 0.00940059i | ||||
\(703\) | 2.56695 | + | 0.622735i | 0.0968143 | + | 0.0234869i | ||||
\(704\) | 9.41627 | − | 3.50615i | 0.354889 | − | 0.132143i | ||||
\(705\) | 0.210497 | + | 0.690688i | 0.00792776 | + | 0.0260128i | ||||
\(706\) | 17.4047 | − | 0.481787i | 0.655033 | − | 0.0181323i | ||||
\(707\) | −2.50693 | − | 4.34214i | −0.0942830 | − | 0.163303i | ||||
\(708\) | −2.63572 | + | 15.1340i | −0.0990564 | + | 0.568772i | ||||
\(709\) | −14.2973 | + | 41.3093i | −0.536946 | + | 1.55140i | 0.271261 | + | 0.962506i | \(0.412559\pi\) |
−0.808207 | + | 0.588898i | \(0.799562\pi\) | |||||||
\(710\) | 2.00278 | − | 2.98395i | 0.0751631 | − | 0.111986i | ||||
\(711\) | 0.188469 | − | 1.09823i | 0.00706814 | − | 0.0411868i | ||||
\(712\) | 8.02824 | − | 3.10114i | 0.300871 | − | 0.116220i | ||||
\(713\) | 0.243468 | + | 0.378844i | 0.00911796 | + | 0.0141878i | ||||
\(714\) | 6.49522 | + | 5.21069i | 0.243078 | + | 0.195005i | ||||
\(715\) | 0.665131 | − | 0.0956314i | 0.0248745 | − | 0.00357641i | ||||
\(716\) | 8.54908 | + | 28.3023i | 0.319494 | + | 1.05771i | ||||
\(717\) | −30.3733 | + | 0.310480i | −1.13431 | + | 0.0115951i | ||||
\(718\) | 31.9599 | − | 24.1187i | 1.19273 | − | 0.900102i | ||||
\(719\) | 0.423487 | − | 8.89009i | 0.0157934 | − | 0.331544i | −0.977119 | − | 0.212694i | \(-0.931776\pi\) |
0.992912 | − | 0.118850i | \(-0.0379208\pi\) | |||||||
\(720\) | −3.58596 | − | 15.5717i | −0.133641 | − | 0.580322i | ||||
\(721\) | 8.04705 | − | 11.3005i | 0.299688 | − | 0.420853i | ||||
\(722\) | 7.90511 | + | 64.0109i | 0.294198 | + | 2.38224i | ||||
\(723\) | −16.3705 | + | 1.73222i | −0.608824 | + | 0.0644220i | ||||
\(724\) | 34.5725 | + | 19.6049i | 1.28488 | + | 0.728609i | ||||
\(725\) | 22.3378 | − | 7.73120i | 0.829607 | − | 0.287130i | ||||
\(726\) | 9.38375 | + | 21.0867i | 0.348264 | + | 0.782600i | ||||
\(727\) | −18.0993 | − | 23.0151i | −0.671266 | − | 0.853584i | 0.324464 | − | 0.945898i | \(-0.394816\pi\) |
−0.995730 | + | 0.0923141i | \(0.970574\pi\) | |||||||
\(728\) | −1.27640 | − | 1.24707i | −0.0473065 | − | 0.0462194i | ||||
\(729\) | 26.9492 | − | 1.65489i | 0.998120 | − | 0.0612922i | ||||
\(730\) | −1.44442 | + | 0.985794i | −0.0534604 | + | 0.0364859i | ||||
\(731\) | 18.0215 | − | 1.72084i | 0.666549 | − | 0.0636477i | ||||
\(732\) | −18.4069 | − | 18.6227i | −0.680338 | − | 0.688317i | ||||
\(733\) | −15.9478 | + | 8.22164i | −0.589044 | + | 0.303673i | −0.726861 | − | 0.686784i | \(-0.759022\pi\) |
0.137817 | + | 0.990458i | \(0.455991\pi\) | |||||||
\(734\) | −14.6132 | + | 46.3324i | −0.539384 | + | 1.71016i | ||||
\(735\) | −6.38023 | + | 8.28604i | −0.235338 | + | 0.305635i | ||||
\(736\) | 4.90210 | − | 4.63287i | 0.180694 | − | 0.170770i | ||||
\(737\) | 3.76266 | − | 9.56735i | 0.138599 | − | 0.352418i | ||||
\(738\) | −16.6903 | + | 41.7531i | −0.614380 | + | 1.53695i | ||||
\(739\) | 1.78939 | − | 0.434102i | 0.0658238 | − | 0.0159687i | −0.202712 | − | 0.979238i | \(-0.564975\pi\) |
0.268536 | + | 0.963270i | \(0.413460\pi\) | |||||||
\(740\) | 0.780984 | + | 0.394996i | 0.0287096 | + | 0.0145203i | ||||
\(741\) | 5.11159 | + | 2.27153i | 0.187779 | + | 0.0834468i | ||||
\(742\) | 14.9102 | − | 4.05717i | 0.547372 | − | 0.148943i | ||||
\(743\) | −31.9976 | + | 3.05540i | −1.17388 | + | 0.112092i | −0.663715 | − | 0.747985i | \(-0.731021\pi\) |
−0.510164 | + | 0.860077i | \(0.670415\pi\) | |||||||
\(744\) | −1.07621 | + | 1.50509i | −0.0394558 | + | 0.0551793i | ||||
\(745\) | 11.3985 | + | 13.1545i | 0.417608 | + | 0.481945i | ||||
\(746\) | −9.59414 | + | 19.9466i | −0.351266 | + | 0.730298i | ||||
\(747\) | −10.5455 | − | 21.8955i | −0.385840 | − | 0.801115i | ||||
\(748\) | 2.22069 | − | 4.96408i | 0.0811966 | − | 0.181505i | ||||
\(749\) | 22.5855 | − | 7.81693i | 0.825257 | − | 0.285624i | ||||
\(750\) | −25.4420 | + | 8.53002i | −0.929010 | + | 0.311472i | ||||
\(751\) | −26.4194 | + | 41.1093i | −0.964056 | + | 1.50010i | −0.101067 | + | 0.994880i | \(0.532225\pi\) |
−0.862990 | + | 0.505221i | \(0.831411\pi\) | |||||||
\(752\) | −1.16963 | − | 0.447344i | −0.0426519 | − | 0.0163130i | ||||
\(753\) | 0.377917 | + | 6.52862i | 0.0137721 | + | 0.237916i | ||||
\(754\) | −3.34178 | − | 2.48148i | −0.121701 | − | 0.0903703i | ||||
\(755\) | −0.620684 | + | 13.0298i | −0.0225890 | + | 0.474202i | ||||
\(756\) | 13.2054 | + | 9.58751i | 0.480274 | + | 0.348694i | ||||
\(757\) | 8.90886 | + | 7.00600i | 0.323798 | + | 0.254638i | 0.766804 | − | 0.641881i | \(-0.221846\pi\) |
−0.443006 | + | 0.896518i | \(0.646088\pi\) | |||||||
\(758\) | −20.9133 | − | 42.6307i | −0.759604 | − | 1.54842i | ||||
\(759\) | −1.89546 | − | 1.77068i | −0.0688009 | − | 0.0642718i | ||||
\(760\) | −3.24438 | + | 30.0988i | −0.117686 | + | 1.09180i | ||||
\(761\) | 5.60040 | + | 8.71440i | 0.203014 | + | 0.315897i | 0.927800 | − | 0.373078i | \(-0.121698\pi\) |
−0.724786 | + | 0.688974i | \(0.758061\pi\) | |||||||
\(762\) | 6.43747 | − | 31.7402i | 0.233205 | − | 1.14983i | ||||
\(763\) | 23.0797 | − | 1.09942i | 0.835542 | − | 0.0398018i | ||||
\(764\) | 25.6462 | − | 27.3177i | 0.927846 | − | 0.988319i | ||||
\(765\) | −7.36955 | − | 4.52597i | −0.266447 | − | 0.163637i | ||||
\(766\) | 32.4240 | + | 26.5609i | 1.17153 | + | 0.959685i | ||||
\(767\) | −0.890871 | − | 1.54303i | −0.0321675 | − | 0.0557157i | ||||
\(768\) | 25.1345 | + | 11.6730i | 0.906962 | + | 0.421212i | ||||
\(769\) | 18.7902 | + | 7.52247i | 0.677593 | + | 0.271267i | 0.684826 | − | 0.728706i | \(-0.259878\pi\) |
−0.00723306 | + | 0.999974i | \(0.502302\pi\) | |||||||
\(770\) | −3.41982 | − | 1.44880i | −0.123242 | − | 0.0522111i | ||||
\(771\) | −23.6805 | + | 11.1084i | −0.852832 | + | 0.400061i | ||||
\(772\) | 25.2405 | + | 21.5308i | 0.908424 | + | 0.774911i | ||||
\(773\) | −4.65094 | − | 24.1314i | −0.167283 | − | 0.867945i | −0.964466 | − | 0.264208i | \(-0.914890\pi\) |
0.797183 | − | 0.603738i | \(-0.206323\pi\) | |||||||
\(774\) | 35.1143 | − | 5.06724i | 1.26216 | − | 0.182138i | ||||
\(775\) | 1.05545 | + | 0.609365i | 0.0379129 | + | 0.0218890i | ||||
\(776\) | 19.1800 | + | 20.6122i | 0.688521 | + | 0.739934i | ||||
\(777\) | −0.866391 | + | 0.219585i | −0.0310816 | + | 0.00787757i | ||||
\(778\) | −5.53278 | + | 47.8463i | −0.198360 | + | 1.71537i | ||||
\(779\) | 55.7865 | − | 64.3811i | 1.99876 | − | 2.30669i | ||||
\(780\) | 1.47719 | + | 1.11930i | 0.0528917 | + | 0.0400775i | ||||
\(781\) | 2.22517 | − | 0.890822i | 0.0796227 | − | 0.0318761i | ||||
\(782\) | 0.0727339 | − | 3.64981i | 0.00260096 | − | 0.130517i | ||||
\(783\) | 33.5325 | + | 18.0124i | 1.19835 | + | 0.643709i | ||||
\(784\) | −4.54859 | − | 17.5573i | −0.162450 | − | 0.627048i | ||||
\(785\) | 8.66535 | − | 9.08796i | 0.309280 | − | 0.324363i | ||||
\(786\) | 17.4068 | − | 8.76108i | 0.620880 | − | 0.312497i | ||||
\(787\) | −23.4750 | + | 45.5351i | −0.836792 | + | 1.62315i | −0.0559407 | + | 0.998434i | \(0.517816\pi\) |
−0.780852 | + | 0.624717i | \(0.785215\pi\) | |||||||
\(788\) | 21.2691 | + | 29.3837i | 0.757681 | + | 1.04675i | ||||
\(789\) | −21.0050 | + | 30.1449i | −0.747799 | + | 1.07319i | ||||
\(790\) | −0.468492 | + | 0.519388i | −0.0166682 | + | 0.0184790i | ||||
\(791\) | −4.03033 | − | 0.776781i | −0.143302 | − | 0.0276192i | ||||
\(792\) | 3.87901 | − | 9.92635i | 0.137835 | − | 0.352718i | ||||
\(793\) | 3.02324 | + | 0.288684i | 0.107358 | + | 0.0102515i | ||||
\(794\) | −20.5171 | − | 37.2306i | −0.728124 | − | 1.32126i | ||||
\(795\) | −14.8374 | + | 6.11669i | −0.526228 | + | 0.216937i | ||||
\(796\) | −35.5551 | + | 14.5548i | −1.26022 | + | 0.515880i | ||||
\(797\) | −20.7456 | − | 21.7574i | −0.734847 | − | 0.770686i | 0.245195 | − | 0.969474i | \(-0.421148\pi\) |
−0.980043 | + | 0.198788i | \(0.936299\pi\) | |||||||
\(798\) | −17.6880 | − | 25.3566i | −0.626149 | − | 0.897612i | ||||
\(799\) | −0.616506 | + | 0.281549i | −0.0218104 | + | 0.00996048i | ||||
\(800\) | 6.04652 | − | 17.2232i | 0.213777 | − | 0.608931i | ||||
\(801\) | 3.21875 | − | 8.54214i | 0.113729 | − | 0.301822i | ||||
\(802\) | 0.345078 | + | 4.57562i | 0.0121851 | + | 0.161571i | ||||
\(803\) | −1.16633 | −0.0411589 | ||||||||
\(804\) | 26.0625 | − | 11.1689i | 0.919154 | − | 0.393897i | ||||
\(805\) | −2.49317 | −0.0878728 | ||||||||
\(806\) | −0.0161389 | − | 0.213996i | −0.000568469 | − | 0.00753770i | ||||
\(807\) | 6.55855 | − | 3.87650i | 0.230872 | − | 0.136459i | ||||
\(808\) | −9.03048 | − | 0.109966i | −0.317691 | − | 0.00386859i | ||||
\(809\) | 33.0928 | − | 15.1130i | 1.16348 | − | 0.531344i | 0.262384 | − | 0.964963i | \(-0.415491\pi\) |
0.901096 | + | 0.433620i | \(0.142764\pi\) | |||||||
\(810\) | −14.8523 | − | 8.16477i | −0.521856 | − | 0.286881i | ||||
\(811\) | −21.7316 | − | 22.7915i | −0.763101 | − | 0.800317i | 0.221495 | − | 0.975161i | \(-0.428906\pi\) |
−0.984596 | + | 0.174844i | \(0.944058\pi\) | |||||||
\(812\) | 8.71564 | + | 21.2910i | 0.305859 | + | 0.747167i | ||||
\(813\) | −14.3093 | − | 34.7104i | −0.501850 | − | 1.21735i | ||||
\(814\) | 0.281724 | + | 0.511220i | 0.00987443 | + | 0.0179183i | ||||
\(815\) | −10.4388 | − | 0.996785i | −0.365656 | − | 0.0349159i | ||||
\(816\) | 14.0431 | − | 5.26855i | 0.491608 | − | 0.184436i | ||||
\(817\) | −65.9995 | − | 12.7204i | −2.30903 | − | 0.445029i | ||||
\(818\) | 3.89984 | − | 4.32351i | 0.136355 | − | 0.151168i | ||||
\(819\) | −1.88835 | + | 0.128688i | −0.0659843 | + | 0.00449674i | ||||
\(820\) | 22.8646 | − | 16.5503i | 0.798466 | − | 0.577961i | ||||
\(821\) | 17.8897 | − | 34.7012i | 0.624355 | − | 1.21108i | −0.338476 | − | 0.940975i | \(-0.609911\pi\) |
0.962831 | − | 0.270105i | \(-0.0870584\pi\) | |||||||
\(822\) | −16.1124 | − | 32.0126i | −0.561983 | − | 1.11657i | ||||
\(823\) | −24.1071 | + | 25.2828i | −0.840321 | + | 0.881303i | −0.994283 | − | 0.106774i | \(-0.965948\pi\) |
0.153963 | + | 0.988077i | \(0.450796\pi\) | |||||||
\(824\) | −10.1030 | − | 22.8548i | −0.351953 | − | 0.796186i | ||||
\(825\) | −6.75524 | − | 1.90873i | −0.235187 | − | 0.0664536i | ||||
\(826\) | −0.196211 | + | 9.84593i | −0.00682705 | + | 0.342584i | ||||
\(827\) | 6.86677 | − | 2.74904i | 0.238781 | − | 0.0955935i | −0.249186 | − | 0.968456i | \(-0.580163\pi\) |
0.487967 | + | 0.872862i | \(0.337739\pi\) | |||||||
\(828\) | −0.201664 | − | 7.15123i | −0.00700831 | − | 0.248523i | ||||
\(829\) | −30.2719 | + | 34.9356i | −1.05139 | + | 1.21336i | −0.0750329 | + | 0.997181i | \(0.523906\pi\) |
−0.976353 | + | 0.216183i | \(0.930639\pi\) | |||||||
\(830\) | −1.75241 | + | 15.1544i | −0.0608269 | + | 0.526017i | ||||
\(831\) | 11.5730 | + | 45.6621i | 0.401462 | + | 1.58400i | ||||
\(832\) | −3.10520 | + | 0.830196i | −0.107654 | + | 0.0287819i | ||||
\(833\) | −8.50109 | − | 4.90810i | −0.294545 | − | 0.170056i | ||||
\(834\) | 4.71706 | + | 2.78477i | 0.163338 | + | 0.0964287i | ||||
\(835\) | 1.84161 | + | 9.55518i | 0.0637315 | + | 0.330671i | ||||
\(836\) | −13.1034 | + | 15.3611i | −0.453192 | + | 0.531274i | ||||
\(837\) | 0.430318 | + | 1.91476i | 0.0148740 | + | 0.0661836i | ||||
\(838\) | −12.8328 | − | 5.43660i | −0.443303 | − | 0.187804i | ||||
\(839\) | −43.6784 | − | 17.4862i | −1.50795 | − | 0.603691i | −0.537127 | − | 0.843501i | \(-0.680490\pi\) |
−0.970820 | + | 0.239811i | \(0.922915\pi\) | |||||||
\(840\) | −3.78859 | − | 9.51732i | −0.130719 | − | 0.328379i | ||||
\(841\) | 12.3309 | + | 21.3578i | 0.425205 | + | 0.736476i | ||||
\(842\) | −1.58928 | − | 1.30190i | −0.0547702 | − | 0.0448663i | ||||
\(843\) | −16.3702 | + | 5.85384i | −0.563820 | + | 0.201617i | ||||
\(844\) | 14.3756 | + | 13.4960i | 0.494829 | + | 0.464551i | ||||
\(845\) | 17.0765 | − | 0.813455i | 0.587450 | − | 0.0279837i | ||||
\(846\) | −1.18025 | + | 0.609236i | −0.0405779 | + | 0.0209460i | ||||
\(847\) | 7.99927 | + | 12.4471i | 0.274858 | + | 0.427688i | ||||
\(848\) | 7.42675 | − | 26.8242i | 0.255036 | − | 0.921147i | ||||
\(849\) | −12.3440 | + | 13.2139i | −0.423645 | + | 0.453498i | ||||
\(850\) | −4.35114 | − | 8.86960i | −0.149243 | − | 0.304225i | ||||
\(851\) | 0.308001 | + | 0.242214i | 0.0105581 | + | 0.00830300i | ||||
\(852\) | 6.06171 | + | 2.63770i | 0.207671 | + | 0.0903660i | ||||
\(853\) | −0.836479 | + | 17.5599i | −0.0286405 | + | 0.601238i | 0.938236 | + | 0.345995i | \(0.112459\pi\) |
−0.966877 | + | 0.255243i | \(0.917845\pi\) | |||||||
\(854\) | −13.4766 | − | 10.0072i | −0.461159 | − | 0.342439i | ||||
\(855\) | 21.5189 | + | 23.8319i | 0.735932 | + | 0.815032i | ||||
\(856\) | 8.66128 | − | 42.1692i | 0.296036 | − | 1.44131i | ||||
\(857\) | −27.4453 | + | 42.7058i | −0.937515 | + | 1.45880i | −0.0496139 | + | 0.998768i | \(0.515799\pi\) |
−0.887901 | + | 0.460034i | \(0.847837\pi\) | |||||||
\(858\) | 0.392932 | + | 1.17198i | 0.0134145 | + | 0.0400106i | ||||
\(859\) | −35.1564 | + | 12.1678i | −1.19952 | + | 0.415158i | −0.852514 | − | 0.522704i | \(-0.824923\pi\) |
−0.347007 | + | 0.937863i | \(0.612802\pi\) | |||||||
\(860\) | −20.3289 | − | 9.09420i | −0.693211 | − | 0.310110i | ||||
\(861\) | −6.50920 | + | 28.0810i | −0.221833 | + | 0.956999i | ||||
\(862\) | 17.3391 | − | 36.0487i | 0.590571 | − | 1.22782i | ||||
\(863\) | −18.4755 | − | 21.3219i | −0.628915 | − | 0.725807i | 0.348459 | − | 0.937324i | \(-0.386705\pi\) |
−0.977374 | + | 0.211517i | \(0.932160\pi\) | |||||||
\(864\) | 26.9923 | − | 11.6367i | 0.918298 | − | 0.395890i | ||||
\(865\) | −31.7851 | + | 3.03511i | −1.08073 | + | 0.103197i | ||||
\(866\) | −9.95929 | + | 2.70998i | −0.338430 | + | 0.0920890i | ||||
\(867\) | −8.66082 | + | 19.4893i | −0.294137 | + | 0.661892i | ||||
\(868\) | −0.535335 | + | 1.05846i | −0.0181705 | + | 0.0359266i | ||||
\(869\) | −0.453357 | + | 0.109983i | −0.0153791 | + | 0.00373092i | ||||
\(870\) | −11.7455 | − | 20.8075i | −0.398210 | − | 0.705441i | ||||
\(871\) | −1.48913 | + | 2.93228i | −0.0504574 | + | 0.0993567i | ||||
\(872\) | 19.5200 | − | 36.7576i | 0.661030 | − | 1.24477i | ||||
\(873\) | 29.8572 | − | 0.610472i | 1.01051 | − | 0.0206614i | ||||
\(874\) | −4.07684 | + | 12.9259i | −0.137901 | + | 0.437226i | ||||
\(875\) | −15.2899 | + | 7.88248i | −0.516892 | + | 0.266476i | ||||
\(876\) | −2.26135 | − | 2.28787i | −0.0764039 | − | 0.0772999i | ||||
\(877\) | 36.4443 | − | 3.48001i | 1.23064 | − | 0.117512i | 0.540596 | − | 0.841282i | \(-0.318199\pi\) |
0.690041 | + | 0.723771i | \(0.257593\pi\) | |||||||
\(878\) | −28.7155 | + | 19.5979i | −0.969103 | + | 0.661397i | ||||
\(879\) | −1.94055 | + | 10.6534i | −0.0654531 | + | 0.359330i | ||||
\(880\) | −5.38862 | + | 3.96449i | −0.181650 | + | 0.133643i | ||||
\(881\) | 27.6077 | + | 35.1060i | 0.930127 | + | 1.18275i | 0.982899 | + | 0.184146i | \(0.0589518\pi\) |
−0.0527723 | + | 0.998607i | \(0.516806\pi\) | |||||||
\(882\) | −17.1032 | − | 8.80612i | −0.575896 | − | 0.296518i | ||||
\(883\) | 30.9077 | − | 10.6973i | 1.04013 | − | 0.359992i | 0.246980 | − | 0.969021i | \(-0.420562\pi\) |
0.793148 | + | 0.609029i | \(0.208441\pi\) | |||||||
\(884\) | −0.858123 | + | 1.51327i | −0.0288618 | + | 0.0508969i | ||||
\(885\) | −1.07625 | − | 10.1712i | −0.0361778 | − | 0.341900i | ||||
\(886\) | 4.64866 | + | 37.6421i | 0.156175 | + | 1.26461i | ||||
\(887\) | 23.1530 | − | 32.5138i | 0.777400 | − | 1.09171i | −0.215931 | − | 0.976409i | \(-0.569279\pi\) |
0.993331 | − | 0.115297i | \(-0.0367820\pi\) | |||||||
\(888\) | −0.456584 | + | 1.54381i | −0.0153220 | + | 0.0518070i | ||||
\(889\) | 0.987881 | − | 20.7382i | 0.0331325 | − | 0.695536i | ||||
\(890\) | −4.57388 | + | 3.45170i | −0.153317 | + | 0.115701i | ||||
\(891\) | −5.11215 | − | 10.0818i | −0.171264 | − | 0.337753i | ||||
\(892\) | −21.0646 | + | 6.36285i | −0.705297 | + | 0.213044i | ||||
\(893\) | 2.49073 | − | 0.358114i | 0.0833492 | − | 0.0119838i | ||||
\(894\) | −20.0357 | + | 24.9748i | −0.670094 | + | 0.835284i | ||||
\(895\) | −10.6423 | − | 16.5598i | −0.355734 | − | 0.553532i | ||||
\(896\) | 17.0625 | + | 4.94851i | 0.570018 | + | 0.165318i | ||||
\(897\) | 0.549762 | + | 0.621508i | 0.0183560 | + | 0.0207515i | ||||
\(898\) | 29.2123 | − | 43.5234i | 0.974826 | − | 1.45240i | ||||
\(899\) | −0.904903 | + | 2.61455i | −0.0301802 | + | 0.0872000i | ||||
\(900\) | −9.35328 | − | 16.9518i | −0.311776 | − | 0.565060i | ||||
\(901\) | −7.53206 | − | 13.0459i | −0.250929 | − | 0.434622i | ||||
\(902\) | 18.8180 | − | 0.520911i | 0.626572 | − | 0.0173444i | ||||
\(903\) | 21.7556 | − | 6.63032i | 0.723983 | − | 0.220643i | ||||
\(904\) | −4.90917 | + | 5.52801i | −0.163276 | + | 0.183859i | ||||
\(905\) | −25.7159 | − | 6.23862i | −0.854826 | − | 0.207379i | ||||
\(906\) | −23.7833 | + | 3.18428i | −0.790146 | + | 0.105791i | ||||
\(907\) | 5.55063 | + | 28.7994i | 0.184305 | + | 0.956268i | 0.949808 | + | 0.312834i | \(0.101278\pi\) |
−0.765502 | + | 0.643433i | \(0.777509\pi\) | |||||||
\(908\) | 0.665047 | + | 3.31227i | 0.0220704 | + | 0.109921i | ||||
\(909\) | −6.46715 | + | 7.06631i | −0.214502 | + | 0.234375i | ||||
\(910\) | 1.04498 | + | 0.565357i | 0.0346407 | + | 0.0187414i | ||||
\(911\) | −18.7747 | + | 41.1108i | −0.622032 | + | 1.36206i | 0.292000 | + | 0.956418i | \(0.405679\pi\) |
−0.914032 | + | 0.405642i | \(0.867048\pi\) | |||||||
\(912\) | −55.5380 | + | 4.07933i | −1.83905 | + | 0.135080i | ||||
\(913\) | −6.66293 | + | 7.68944i | −0.220511 | + | 0.254483i | ||||
\(914\) | 5.85056 | + | 13.5174i | 0.193519 | + | 0.447116i | ||||
\(915\) | 15.1862 | + | 8.56202i | 0.502042 | + | 0.283052i | ||||
\(916\) | 5.42430 | − | 29.3667i | 0.179224 | − | 0.970302i | ||||
\(917\) | 10.1761 | − | 7.24637i | 0.336045 | − | 0.239296i | ||||
\(918\) | 5.75372 | − | 14.8318i | 0.189901 | − | 0.489523i | ||||
\(919\) | −28.9336 | + | 30.3447i | −0.954431 | + | 1.00098i | 0.0455673 | + | 0.998961i | \(0.485490\pi\) |
−0.999998 | + | 0.00201684i | \(0.999358\pi\) | |||||||
\(920\) | −2.29258 | + | 3.86151i | −0.0755842 | + | 0.127310i | ||||
\(921\) | 1.00112 | + | 4.92298i | 0.0329881 | + | 0.162218i | ||||
\(922\) | 21.0133 | − | 21.1768i | 0.692036 | − | 0.697420i | ||||
\(923\) | −0.735687 | + | 0.216017i | −0.0242154 | + | 0.00711029i | ||||
\(924\) | 1.49114 | − | 6.66730i | 0.0490549 | − | 0.219338i | ||||
\(925\) | 1.04125 | + | 0.200684i | 0.0342360 | + | 0.00659844i | ||||
\(926\) | 3.61758 | + | 21.0147i | 0.118881 | + | 0.690586i | ||||
\(927\) | −25.2183 | − | 8.15482i | −0.828278 | − | 0.267839i | ||||
\(928\) | 40.9906 | + | 6.07892i | 1.34558 | + | 0.199550i | ||||
\(929\) | 4.76592 | − | 16.2312i | 0.156365 | − | 0.532529i | −0.843626 | − | 0.536932i | \(-0.819583\pi\) |
0.999990 | + | 0.00440250i | \(0.00140137\pi\) | |||||||
\(930\) | 0.414198 | − | 1.16020i | 0.0135821 | − | 0.0380444i | ||||
\(931\) | 25.1502 | + | 26.3768i | 0.824265 | + | 0.864464i | ||||
\(932\) | −0.616002 | + | 2.62791i | −0.0201778 | + | 0.0860800i | ||||
\(933\) | 36.8139 | + | 18.5051i | 1.20523 | + | 0.605829i | ||||
\(934\) | −17.9347 | − | 55.3641i | −0.586841 | − | 1.81157i | ||||
\(935\) | −0.515285 | + | 3.58388i | −0.0168516 | + | 0.117206i | ||||
\(936\) | −1.53710 | + | 3.04307i | −0.0502418 | + | 0.0994659i | ||||
\(937\) | −52.7537 | −1.72339 | −0.861695 | − | 0.507427i | \(-0.830597\pi\) | ||||
−0.861695 | + | 0.507427i | \(0.830597\pi\) | |||||||
\(938\) | 15.4261 | − | 9.61497i | 0.503679 | − | 0.313940i | ||||
\(939\) | 20.8137 | − | 16.7152i | 0.679229 | − | 0.545479i | ||||
\(940\) | 0.830568 | + | 0.0728196i | 0.0270901 | + | 0.00237511i | ||||
\(941\) | −25.5815 | − | 3.67807i | −0.833933 | − | 0.119902i | −0.287895 | − | 0.957662i | \(-0.592956\pi\) |
−0.546038 | + | 0.837760i | \(0.683865\pi\) | |||||||
\(942\) | 19.3098 | + | 12.6761i | 0.629147 | + | 0.413009i | ||||
\(943\) | 11.4950 | − | 5.24961i | 0.374330 | − | 0.170951i | ||||
\(944\) | 15.0693 | + | 9.35766i | 0.490463 | + | 0.304566i | ||||
\(945\) | −10.2058 | − | 3.72697i | −0.331996 | − | 0.121238i | ||||
\(946\) | −7.77971 | − | 12.6528i | −0.252940 | − | 0.411380i | ||||
\(947\) | 29.9349 | + | 8.78969i | 0.972754 | + | 0.285626i | 0.729230 | − | 0.684268i | \(-0.239878\pi\) |
0.243524 | + | 0.969895i | \(0.421697\pi\) | |||||||
\(948\) | −1.09474 | − | 0.676061i | −0.0355554 | − | 0.0219574i | ||||
\(949\) | 0.371415 | + | 0.0354659i | 0.0120567 | + | 0.00115127i | ||||
\(950\) | 6.22274 | + | 36.1483i | 0.201892 | + | 1.17280i | ||||
\(951\) | −13.7492 | − | 26.0134i | −0.445848 | − | 0.843541i | ||||
\(952\) | 8.38494 | − | 4.70586i | 0.271757 | − | 0.152518i | ||||
\(953\) | −6.26379 | − | 21.3325i | −0.202904 | − | 0.691027i | −0.996576 | − | 0.0826815i | \(-0.973652\pi\) |
0.793672 | − | 0.608346i | \(-0.208167\pi\) | |||||||
\(954\) | −15.9735 | − | 24.8270i | −0.517161 | − | 0.803803i | ||||
\(955\) | −11.4316 | + | 22.1742i | −0.369917 | + | 0.717539i | ||||
\(956\) | −12.7829 | + | 32.6615i | −0.413430 | + | 1.05635i | ||||
\(957\) | 1.35257 | − | 15.8784i | 0.0437224 | − | 0.513276i | ||||
\(958\) | −2.36934 | + | 2.17070i | −0.0765499 | + | 0.0701321i | ||||
\(959\) | −13.3267 | − | 18.7147i | −0.430341 | − | 0.604330i | ||||
\(960\) | −18.2245 | − | 2.88370i | −0.588194 | − | 0.0930712i | ||||
\(961\) | 28.6470 | − | 11.4685i | 0.924096 | − | 0.369952i | ||||
\(962\) | −0.0741692 | − | 0.171364i | −0.00239131 | − | 0.00552498i | ||||
\(963\) | −27.2407 | − | 36.6451i | −0.877820 | − | 1.18087i | ||||
\(964\) | −5.21383 | + | 18.2795i | −0.167926 | + | 0.588742i | ||||
\(965\) | −20.0926 | − | 9.17600i | −0.646805 | − | 0.295386i | ||||
\(966\) | −0.824205 | − | 4.51153i | −0.0265184 | − | 0.145156i | ||||
\(967\) | 30.4292 | + | 17.5683i | 0.978538 | + | 0.564959i | 0.901828 | − | 0.432094i | \(-0.142225\pi\) |
0.0767096 | + | 0.997053i | \(0.475559\pi\) | |||||||
\(968\) | 26.6342 | − | 0.943864i | 0.856055 | − | 0.0303370i | ||||
\(969\) | −19.5034 | + | 22.9785i | −0.626538 | + | 0.738177i | ||||
\(970\) | −16.0446 | − | 9.69461i | −0.515160 | − | 0.311275i | ||||
\(971\) | 2.44886 | − | 10.0943i | 0.0785875 | − | 0.323942i | −0.918925 | − | 0.394432i | \(-0.870941\pi\) |
0.997512 | + | 0.0704902i | \(0.0224564\pi\) | |||||||
\(972\) | 9.86465 | − | 29.5751i | 0.316409 | − | 0.948623i | ||||
\(973\) | 3.26002 | + | 1.30512i | 0.104511 | + | 0.0418401i | ||||
\(974\) | 4.13210 | − | 0.114383i | 0.132401 | − | 0.00366505i | ||||
\(975\) | 2.09315 | + | 0.813246i | 0.0670344 | + | 0.0260447i | ||||
\(976\) | −27.8918 | + | 11.6709i | −0.892794 | + | 0.373576i | ||||
\(977\) | −24.8445 | − | 8.59876i | −0.794845 | − | 0.275099i | −0.100684 | − | 0.994918i | \(-0.532103\pi\) |
−0.694161 | + | 0.719820i | \(0.744224\pi\) | |||||||
\(978\) | −1.64717 | − | 19.2191i | −0.0526708 | − | 0.614559i | ||||
\(979\) | −3.81739 | + | 0.181845i | −0.122004 | + | 0.00581178i | ||||
\(980\) | 6.11867 | + | 10.4107i | 0.195454 | + | 0.332558i | ||||
\(981\) | −15.2877 | − | 41.4120i | −0.488100 | − | 1.32218i | ||||
\(982\) | 8.44399 | + | 38.1050i | 0.269458 | + | 1.21598i | ||||
\(983\) | −2.67790 | − | 18.6252i | −0.0854118 | − | 0.594052i | −0.986910 | − | 0.161270i | \(-0.948441\pi\) |
0.901499 | − | 0.432782i | \(-0.142468\pi\) | |||||||
\(984\) | 37.5073 | + | 35.9034i | 1.19569 | + | 1.14456i | ||||
\(985\) | −18.9840 | − | 14.9292i | −0.604882 | − | 0.475684i | ||||
\(986\) | 17.9022 | − | 13.5099i | 0.570121 | − | 0.430244i | ||||
\(987\) | −0.688501 | + | 0.500964i | −0.0219152 | + | 0.0159459i | ||||
\(988\) | 4.63986 | − | 4.49325i | 0.147614 | − | 0.142949i | ||||
\(989\) | −8.12188 | − | 5.78357i | −0.258261 | − | 0.183907i | ||||
\(990\) | −0.670829 | + | 7.06391i | −0.0213203 | + | 0.224506i | ||||
\(991\) | 0.740302 | − | 1.15193i | 0.0235165 | − | 0.0365924i | −0.829296 | − | 0.558809i | \(-0.811258\pi\) |
0.852813 | + | 0.522217i | \(0.174895\pi\) | |||||||
\(992\) | 1.14712 | + | 1.80245i | 0.0364210 | + | 0.0572278i | ||||
\(993\) | 15.7655 | − | 25.0918i | 0.500301 | − | 0.796264i | ||||
\(994\) | 4.09770 | + | 1.08098i | 0.129971 | + | 0.0342865i | ||||
\(995\) | 20.1067 | − | 15.8121i | 0.637425 | − | 0.501277i | ||||
\(996\) | −28.0021 | + | 1.83875i | −0.887279 | + | 0.0582629i | ||||
\(997\) | 14.6521 | + | 16.9095i | 0.464038 | + | 0.535529i | 0.938744 | − | 0.344616i | \(-0.111991\pi\) |
−0.474706 | + | 0.880145i | \(0.657445\pi\) | |||||||
\(998\) | −13.4094 | + | 9.15168i | −0.424467 | + | 0.289692i | ||||
\(999\) | 0.898726 | + | 1.45193i | 0.0284344 | + | 0.0459370i |
(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 | 804.2.bd.a.23.3 | ✓ | 2640 | |
3.2 | odd | 2 | inner | 804.2.bd.a.23.130 | yes | 2640 | |
4.3 | odd | 2 | inner | 804.2.bd.a.23.17 | yes | 2640 | |
12.11 | even | 2 | inner | 804.2.bd.a.23.116 | yes | 2640 | |
67.35 | even | 33 | inner | 804.2.bd.a.35.116 | yes | 2640 | |
201.35 | odd | 66 | inner | 804.2.bd.a.35.17 | yes | 2640 | |
268.35 | odd | 66 | inner | 804.2.bd.a.35.130 | yes | 2640 | |
804.35 | even | 66 | inner | 804.2.bd.a.35.3 | yes | 2640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.bd.a.23.3 | ✓ | 2640 | 1.1 | even | 1 | trivial | |
804.2.bd.a.23.17 | yes | 2640 | 4.3 | odd | 2 | inner | |
804.2.bd.a.23.116 | yes | 2640 | 12.11 | even | 2 | inner | |
804.2.bd.a.23.130 | yes | 2640 | 3.2 | odd | 2 | inner | |
804.2.bd.a.35.3 | yes | 2640 | 804.35 | even | 66 | inner | |
804.2.bd.a.35.17 | yes | 2640 | 201.35 | odd | 66 | inner | |
804.2.bd.a.35.116 | yes | 2640 | 67.35 | even | 33 | inner | |
804.2.bd.a.35.130 | yes | 2640 | 268.35 | odd | 66 | inner |