Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 121.11 | ||
Character | \(\chi\) | \(=\) | 483.121 |
Dual form | 483.2.y.a.4.11 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{9}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.466737 | + | 0.655441i | 0.330033 | + | 0.463467i | 0.945935 | − | 0.324356i | \(-0.105148\pi\) |
−0.615902 | + | 0.787823i | \(0.711208\pi\) | |||||||
\(3\) | −0.235759 | − | 0.971812i | −0.136115 | − | 0.561076i | ||||
\(4\) | 0.442377 | − | 1.27816i | 0.221188 | − | 0.639082i | ||||
\(5\) | −0.00881404 | − | 0.185029i | −0.00394176 | − | 0.0827477i | 0.996039 | − | 0.0889149i | \(-0.0283399\pi\) |
−0.999981 | + | 0.00616724i | \(0.998037\pi\) | |||||||
\(6\) | 0.526928 | − | 0.608107i | 0.215117 | − | 0.248259i | ||||
\(7\) | 1.59903 | + | 2.10787i | 0.604377 | + | 0.796699i | ||||
\(8\) | 2.58833 | − | 0.760002i | 0.915113 | − | 0.268701i | ||||
\(9\) | −0.888835 | + | 0.458227i | −0.296278 | + | 0.152742i | ||||
\(10\) | 0.117162 | − | 0.0921373i | 0.0370499 | − | 0.0291364i | ||||
\(11\) | 1.88187 | − | 2.64272i | 0.567405 | − | 0.796809i | −0.426796 | − | 0.904348i | \(-0.640358\pi\) |
0.994201 | + | 0.107539i | \(0.0342971\pi\) | |||||||
\(12\) | −1.34643 | − | 0.128568i | −0.388680 | − | 0.0371145i | ||||
\(13\) | −0.0720877 | − | 0.501381i | −0.0199935 | − | 0.139058i | 0.977380 | − | 0.211492i | \(-0.0678323\pi\) |
−0.997373 | + | 0.0724343i | \(0.976923\pi\) | |||||||
\(14\) | −0.635255 | + | 2.03189i | −0.169779 | + | 0.543046i | ||||
\(15\) | −0.177736 | + | 0.0521879i | −0.0458912 | + | 0.0134749i | ||||
\(16\) | −0.420150 | − | 0.330410i | −0.105038 | − | 0.0826024i | ||||
\(17\) | −0.392504 | − | 0.0756489i | −0.0951962 | − | 0.0183476i | 0.141431 | − | 0.989948i | \(-0.454830\pi\) |
−0.236627 | + | 0.971601i | \(0.576042\pi\) | |||||||
\(18\) | −0.715193 | − | 0.368708i | −0.168573 | − | 0.0869053i | ||||
\(19\) | −2.40216 | + | 0.462978i | −0.551092 | + | 0.106214i | −0.457193 | − | 0.889367i | \(-0.651145\pi\) |
−0.0938991 | + | 0.995582i | \(0.529933\pi\) | |||||||
\(20\) | −0.240397 | − | 0.0705870i | −0.0537544 | − | 0.0157837i | ||||
\(21\) | 1.67146 | − | 2.05090i | 0.364743 | − | 0.447544i | ||||
\(22\) | 2.61048 | 0.556557 | ||||||||
\(23\) | −1.16371 | − | 4.65250i | −0.242649 | − | 0.970114i | ||||
\(24\) | −1.34880 | − | 2.33619i | −0.275323 | − | 0.476873i | ||||
\(25\) | 4.94320 | − | 0.472019i | 0.988640 | − | 0.0944037i | ||||
\(26\) | 0.294980 | − | 0.281263i | 0.0578503 | − | 0.0551601i | ||||
\(27\) | 0.654861 | + | 0.755750i | 0.126028 | + | 0.145444i | ||||
\(28\) | 3.40157 | − | 1.11135i | 0.642837 | − | 0.210026i | ||||
\(29\) | 2.98108 | − | 3.44035i | 0.553573 | − | 0.638857i | −0.408139 | − | 0.912920i | \(-0.633822\pi\) |
0.961712 | + | 0.274063i | \(0.0883676\pi\) | |||||||
\(30\) | −0.117162 | − | 0.0921373i | −0.0213908 | − | 0.0168219i | ||||
\(31\) | 5.00085 | + | 4.76830i | 0.898179 | + | 0.856412i | 0.990244 | − | 0.139341i | \(-0.0444985\pi\) |
−0.0920656 | + | 0.995753i | \(0.529347\pi\) | |||||||
\(32\) | 0.277178 | − | 5.81869i | 0.0489987 | − | 1.02861i | ||||
\(33\) | −3.01189 | − | 1.20578i | −0.524303 | − | 0.209899i | ||||
\(34\) | −0.133613 | − | 0.292571i | −0.0229144 | − | 0.0501756i | ||||
\(35\) | 0.375923 | − | 0.314447i | 0.0635427 | − | 0.0531512i | ||||
\(36\) | 0.192488 | + | 1.33879i | 0.0320814 | + | 0.223131i | ||||
\(37\) | −7.11895 | + | 3.67007i | −1.17035 | + | 0.603357i | −0.930083 | − | 0.367351i | \(-0.880265\pi\) |
−0.240266 | + | 0.970707i | \(0.577235\pi\) | |||||||
\(38\) | −1.42463 | − | 1.35838i | −0.231106 | − | 0.220359i | ||||
\(39\) | −0.470252 | + | 0.188261i | −0.0753007 | + | 0.0301458i | ||||
\(40\) | −0.163436 | − | 0.472219i | −0.0258416 | − | 0.0746643i | ||||
\(41\) | 2.79630 | − | 1.79707i | 0.436708 | − | 0.280655i | −0.303758 | − | 0.952749i | \(-0.598241\pi\) |
0.740466 | + | 0.672094i | \(0.234605\pi\) | |||||||
\(42\) | 2.12438 | + | 0.138312i | 0.327799 | + | 0.0213419i | ||||
\(43\) | −3.30973 | − | 0.971823i | −0.504728 | − | 0.148202i | 0.0194487 | − | 0.999811i | \(-0.493809\pi\) |
−0.524177 | + | 0.851609i | \(0.675627\pi\) | |||||||
\(44\) | −2.54533 | − | 3.57441i | −0.383723 | − | 0.538863i | ||||
\(45\) | 0.0926196 | + | 0.160422i | 0.0138069 | + | 0.0239143i | ||||
\(46\) | 2.50630 | − | 2.93424i | 0.369533 | − | 0.432630i | ||||
\(47\) | 0.525343 | − | 0.909920i | 0.0766291 | − | 0.132726i | −0.825164 | − | 0.564893i | \(-0.808918\pi\) |
0.901794 | + | 0.432167i | \(0.142251\pi\) | |||||||
\(48\) | −0.222042 | + | 0.486204i | −0.0320490 | + | 0.0701775i | ||||
\(49\) | −1.88620 | + | 6.74109i | −0.269457 | + | 0.963012i | ||||
\(50\) | 2.61656 | + | 3.01967i | 0.370037 | + | 0.427046i | ||||
\(51\) | 0.0190198 | + | 0.399275i | 0.00266330 | + | 0.0559096i | ||||
\(52\) | −0.672737 | − | 0.129659i | −0.0932918 | − | 0.0179805i | ||||
\(53\) | −0.870080 | + | 0.348327i | −0.119515 | + | 0.0478464i | −0.430649 | − | 0.902519i | \(-0.641715\pi\) |
0.311134 | + | 0.950366i | \(0.399291\pi\) | |||||||
\(54\) | −0.189701 | + | 0.781959i | −0.0258151 | + | 0.106411i | ||||
\(55\) | −0.505567 | − | 0.324908i | −0.0681706 | − | 0.0438106i | ||||
\(56\) | 5.74080 | + | 4.24059i | 0.767147 | + | 0.566672i | ||||
\(57\) | 1.01626 | + | 2.22529i | 0.134607 | + | 0.294747i | ||||
\(58\) | 3.64633 | + | 0.348182i | 0.478786 | + | 0.0457186i | ||||
\(59\) | −4.59067 | + | 3.61014i | −0.597654 | + | 0.470001i | −0.870575 | − | 0.492036i | \(-0.836253\pi\) |
0.272920 | + | 0.962037i | \(0.412010\pi\) | |||||||
\(60\) | −0.0119215 | + | 0.250262i | −0.00153905 | + | 0.0323087i | ||||
\(61\) | −2.47549 | + | 10.2041i | −0.316955 | + | 1.30650i | 0.561022 | + | 0.827801i | \(0.310408\pi\) |
−0.877977 | + | 0.478704i | \(0.841107\pi\) | |||||||
\(62\) | −0.791256 | + | 5.50331i | −0.100490 | + | 0.698920i | ||||
\(63\) | −2.38716 | − | 1.14083i | −0.300753 | − | 0.143731i | ||||
\(64\) | 3.04387 | − | 1.95618i | 0.380483 | − | 0.244522i | ||||
\(65\) | −0.0921349 | + | 0.0177575i | −0.0114279 | + | 0.00220255i | ||||
\(66\) | −0.615445 | − | 2.53690i | −0.0757560 | − | 0.312271i | ||||
\(67\) | 4.52816 | − | 0.432387i | 0.553203 | − | 0.0528245i | 0.185289 | − | 0.982684i | \(-0.440678\pi\) |
0.367914 | + | 0.929860i | \(0.380072\pi\) | |||||||
\(68\) | −0.270326 | + | 0.468219i | −0.0327819 | + | 0.0567799i | ||||
\(69\) | −4.24700 | + | 2.22777i | −0.511279 | + | 0.268192i | ||||
\(70\) | 0.381559 | + | 0.0996317i | 0.0456050 | + | 0.0119083i | ||||
\(71\) | −5.94178 | + | 13.0107i | −0.705160 | + | 1.54408i | 0.128441 | + | 0.991717i | \(0.459003\pi\) |
−0.833601 | + | 0.552368i | \(0.813724\pi\) | |||||||
\(72\) | −1.95235 | + | 1.86156i | −0.230086 | + | 0.219387i | ||||
\(73\) | −2.10552 | + | 6.08350i | −0.246432 | + | 0.712020i | 0.752160 | + | 0.658980i | \(0.229012\pi\) |
−0.998592 | + | 0.0530391i | \(0.983109\pi\) | |||||||
\(74\) | −5.72820 | − | 2.95309i | −0.665890 | − | 0.343290i | ||||
\(75\) | −1.62412 | − | 4.69258i | −0.187537 | − | 0.541852i | ||||
\(76\) | −0.470897 | + | 3.27516i | −0.0540156 | + | 0.375687i | ||||
\(77\) | 8.57966 | − | 0.259054i | 0.977743 | − | 0.0295219i | ||||
\(78\) | −0.342878 | − | 0.220354i | −0.0388233 | − | 0.0249502i | ||||
\(79\) | 8.29770 | + | 3.32190i | 0.933565 | + | 0.373743i | 0.788049 | − | 0.615613i | \(-0.211092\pi\) |
0.145516 | + | 0.989356i | \(0.453516\pi\) | |||||||
\(80\) | −0.0574323 | + | 0.0806524i | −0.00642113 | + | 0.00901721i | ||||
\(81\) | 0.580057 | − | 0.814576i | 0.0644508 | − | 0.0905084i | ||||
\(82\) | 2.48301 | + | 0.994047i | 0.274203 | + | 0.109774i | ||||
\(83\) | −3.39409 | − | 2.18125i | −0.372549 | − | 0.239423i | 0.340946 | − | 0.940083i | \(-0.389253\pi\) |
−0.713495 | + | 0.700660i | \(0.752889\pi\) | |||||||
\(84\) | −1.88198 | − | 3.04368i | −0.205340 | − | 0.332092i | ||||
\(85\) | −0.0105377 | + | 0.0732915i | −0.00114298 | + | 0.00794958i | ||||
\(86\) | −0.907800 | − | 2.62292i | −0.0978906 | − | 0.282836i | ||||
\(87\) | −4.04619 | − | 2.08595i | −0.433797 | − | 0.223638i | ||||
\(88\) | 2.86243 | − | 8.27044i | 0.305136 | − | 0.881632i | ||||
\(89\) | −9.06952 | + | 8.64777i | −0.961368 | + | 0.916662i | −0.996573 | − | 0.0827180i | \(-0.973640\pi\) |
0.0352055 | + | 0.999380i | \(0.488791\pi\) | |||||||
\(90\) | −0.0619181 | + | 0.135582i | −0.00652674 | + | 0.0142916i | ||||
\(91\) | 0.941574 | − | 0.953675i | 0.0987037 | − | 0.0999723i | ||||
\(92\) | −6.46146 | − | 0.570753i | −0.673654 | − | 0.0595051i | ||||
\(93\) | 3.45489 | − | 5.98405i | 0.358256 | − | 0.620517i | ||||
\(94\) | 0.841596 | − | 0.0803627i | 0.0868040 | − | 0.00828878i | ||||
\(95\) | 0.106837 | + | 0.440389i | 0.0109613 | + | 0.0451830i | ||||
\(96\) | −5.72002 | + | 1.10244i | −0.583797 | + | 0.112518i | ||||
\(97\) | −4.84968 | + | 3.11670i | −0.492410 | + | 0.316453i | −0.763174 | − | 0.646193i | \(-0.776360\pi\) |
0.270764 | + | 0.962646i | \(0.412724\pi\) | |||||||
\(98\) | −5.29875 | + | 1.91002i | −0.535254 | + | 0.192941i | ||||
\(99\) | −0.461710 | + | 3.21126i | −0.0464036 | + | 0.322744i | ||||
\(100\) | 1.58344 | − | 6.52703i | 0.158344 | − | 0.652703i | ||||
\(101\) | 0.263958 | − | 5.54116i | 0.0262648 | − | 0.551366i | −0.946938 | − | 0.321417i | \(-0.895841\pi\) |
0.973203 | − | 0.229949i | \(-0.0738561\pi\) | |||||||
\(102\) | −0.252824 | + | 0.198823i | −0.0250333 | + | 0.0196864i | ||||
\(103\) | −0.841352 | − | 0.0803393i | −0.0829008 | − | 0.00791607i | 0.0535232 | − | 0.998567i | \(-0.482955\pi\) |
−0.136424 | + | 0.990651i | \(0.543561\pi\) | |||||||
\(104\) | −0.567637 | − | 1.24295i | −0.0556614 | − | 0.121881i | ||||
\(105\) | −0.394210 | − | 0.291193i | −0.0384710 | − | 0.0284175i | ||||
\(106\) | −0.634407 | − | 0.407709i | −0.0616190 | − | 0.0396002i | ||||
\(107\) | −0.437292 | + | 1.80254i | −0.0422746 | + | 0.174258i | −0.989035 | − | 0.147680i | \(-0.952819\pi\) |
0.946761 | + | 0.321939i | \(0.104334\pi\) | |||||||
\(108\) | 1.25567 | − | 0.502693i | 0.120827 | − | 0.0483717i | ||||
\(109\) | −3.12838 | − | 0.602946i | −0.299644 | − | 0.0577517i | 0.0372132 | − | 0.999307i | \(-0.488152\pi\) |
−0.336858 | + | 0.941556i | \(0.609364\pi\) | |||||||
\(110\) | −0.0230089 | − | 0.483016i | −0.00219381 | − | 0.0460538i | ||||
\(111\) | 5.24498 | + | 6.05303i | 0.497831 | + | 0.574528i | ||||
\(112\) | 0.0246267 | − | 1.41396i | 0.00232700 | − | 0.133606i | ||||
\(113\) | 0.959661 | − | 2.10137i | 0.0902773 | − | 0.197680i | −0.859107 | − | 0.511795i | \(-0.828981\pi\) |
0.949385 | + | 0.314115i | \(0.101708\pi\) | |||||||
\(114\) | −0.984223 | + | 1.70472i | −0.0921809 | + | 0.159662i | ||||
\(115\) | −0.850593 | + | 0.256327i | −0.0793182 | + | 0.0239026i | ||||
\(116\) | −3.07857 | − | 5.33224i | −0.285838 | − | 0.495086i | ||||
\(117\) | 0.293820 | + | 0.412613i | 0.0271637 | + | 0.0381461i | ||||
\(118\) | −4.50887 | − | 1.32393i | −0.415076 | − | 0.121877i | ||||
\(119\) | −0.468168 | − | 0.948311i | −0.0429169 | − | 0.0869315i | ||||
\(120\) | −0.420376 | + | 0.270159i | −0.0383749 | + | 0.0246620i | ||||
\(121\) | 0.155235 | + | 0.448521i | 0.0141122 | + | 0.0407746i | ||||
\(122\) | −7.84361 | + | 3.14011i | −0.710127 | + | 0.284292i | ||||
\(123\) | −2.40567 | − | 2.29380i | −0.216912 | − | 0.206825i | ||||
\(124\) | 8.30693 | − | 4.28252i | 0.745984 | − | 0.384581i | ||||
\(125\) | −0.262718 | − | 1.82725i | −0.0234982 | − | 0.163434i | ||||
\(126\) | −0.366429 | − | 2.09711i | −0.0326441 | − | 0.186825i | ||||
\(127\) | 2.96349 | + | 6.48914i | 0.262967 | + | 0.575818i | 0.994350 | − | 0.106149i | \(-0.0338520\pi\) |
−0.731383 | + | 0.681967i | \(0.761125\pi\) | |||||||
\(128\) | −8.11318 | − | 3.24803i | −0.717110 | − | 0.287088i | ||||
\(129\) | −0.164132 | + | 3.44555i | −0.0144510 | + | 0.303363i | ||||
\(130\) | −0.0546418 | − | 0.0521009i | −0.00479240 | − | 0.00456955i | ||||
\(131\) | 7.33095 | + | 5.76512i | 0.640508 | + | 0.503701i | 0.884782 | − | 0.466005i | \(-0.154307\pi\) |
−0.244274 | + | 0.969706i | \(0.578550\pi\) | |||||||
\(132\) | −2.87357 | + | 3.31628i | −0.250112 | + | 0.288645i | ||||
\(133\) | −4.81702 | − | 4.32311i | −0.417688 | − | 0.374861i | ||||
\(134\) | 2.39687 | + | 2.76613i | 0.207058 | + | 0.238957i | ||||
\(135\) | 0.134064 | − | 0.127830i | 0.0115384 | − | 0.0110018i | ||||
\(136\) | −1.07342 | + | 0.102499i | −0.0920452 | + | 0.00878925i | ||||
\(137\) | −3.69535 | − | 6.40053i | −0.315715 | − | 0.546834i | 0.663874 | − | 0.747844i | \(-0.268911\pi\) |
−0.979589 | + | 0.201010i | \(0.935578\pi\) | |||||||
\(138\) | −3.44241 | − | 1.74388i | −0.293037 | − | 0.148449i | ||||
\(139\) | −2.72305 | −0.230966 | −0.115483 | − | 0.993309i | \(-0.536842\pi\) | ||||
−0.115483 | + | 0.993309i | \(0.536842\pi\) | |||||||
\(140\) | −0.235614 | − | 0.619596i | −0.0199131 | − | 0.0523654i | ||||
\(141\) | −1.00813 | − | 0.296012i | −0.0848995 | − | 0.0249287i | ||||
\(142\) | −11.3010 | + | 2.17809i | −0.948358 | + | 0.182781i | ||||
\(143\) | −1.46067 | − | 0.753026i | −0.122147 | − | 0.0629712i | ||||
\(144\) | 0.524847 | + | 0.101156i | 0.0437372 | + | 0.00842966i | ||||
\(145\) | −0.662841 | − | 0.521264i | −0.0550460 | − | 0.0432886i | ||||
\(146\) | −4.97010 | + | 1.45935i | −0.411328 | + | 0.120777i | ||||
\(147\) | 6.99575 | + | 0.243762i | 0.577000 | + | 0.0201052i | ||||
\(148\) | 1.54170 | + | 10.7227i | 0.126727 | + | 0.881404i | ||||
\(149\) | −2.98646 | − | 0.285172i | −0.244660 | − | 0.0233622i | −0.0279946 | − | 0.999608i | \(-0.508912\pi\) |
−0.216666 | + | 0.976246i | \(0.569518\pi\) | |||||||
\(150\) | 2.31767 | − | 3.25471i | 0.189237 | − | 0.265746i | ||||
\(151\) | 13.1722 | − | 10.3587i | 1.07194 | − | 0.842983i | 0.0837914 | − | 0.996483i | \(-0.473297\pi\) |
0.988149 | + | 0.153500i | \(0.0490546\pi\) | |||||||
\(152\) | −5.86571 | + | 3.02398i | −0.475772 | + | 0.245277i | ||||
\(153\) | 0.383536 | − | 0.112616i | 0.0310070 | − | 0.00910448i | ||||
\(154\) | 4.17424 | + | 5.50255i | 0.336370 | + | 0.443408i | ||||
\(155\) | 0.838198 | − | 0.967332i | 0.0673257 | − | 0.0776980i | ||||
\(156\) | 0.0325992 | + | 0.684342i | 0.00261003 | + | 0.0547912i | ||||
\(157\) | −6.56349 | + | 18.9640i | −0.523824 | + | 1.51349i | 0.304095 | + | 0.952642i | \(0.401646\pi\) |
−0.827919 | + | 0.560848i | \(0.810475\pi\) | |||||||
\(158\) | 1.69554 | + | 6.98911i | 0.134890 | + | 0.556024i | ||||
\(159\) | 0.543638 | + | 0.763432i | 0.0431133 | + | 0.0605441i | ||||
\(160\) | −1.07907 | −0.0853081 | ||||||||
\(161\) | 7.94606 | − | 9.89243i | 0.626237 | − | 0.779633i | ||||
\(162\) | 0.804641 | 0.0632186 | ||||||||
\(163\) | 0.229100 | + | 0.321725i | 0.0179445 | + | 0.0251995i | 0.823451 | − | 0.567388i | \(-0.192046\pi\) |
−0.805506 | + | 0.592587i | \(0.798107\pi\) | |||||||
\(164\) | −1.05993 | − | 4.36911i | −0.0827669 | − | 0.341170i | ||||
\(165\) | −0.196558 | + | 0.567916i | −0.0153020 | + | 0.0442122i | ||||
\(166\) | −0.154468 | − | 3.24269i | −0.0119891 | − | 0.251682i | ||||
\(167\) | 15.3605 | − | 17.7270i | 1.18863 | − | 1.37176i | 0.276938 | − | 0.960888i | \(-0.410680\pi\) |
0.911695 | − | 0.410868i | \(-0.134774\pi\) | |||||||
\(168\) | 2.76761 | − | 6.57873i | 0.213525 | − | 0.507560i | ||||
\(169\) | 12.2272 | − | 3.59024i | 0.940556 | − | 0.276172i | ||||
\(170\) | −0.0529566 | + | 0.0273010i | −0.00406159 | + | 0.00209389i | ||||
\(171\) | 1.92297 | − | 1.51224i | 0.147053 | − | 0.115644i | ||||
\(172\) | −2.70630 | + | 3.80046i | −0.206353 | + | 0.289782i | ||||
\(173\) | −21.5285 | − | 2.05573i | −1.63678 | − | 0.156294i | −0.764274 | − | 0.644891i | \(-0.776903\pi\) |
−0.872509 | + | 0.488597i | \(0.837509\pi\) | |||||||
\(174\) | −0.521287 | − | 3.62563i | −0.0395187 | − | 0.274858i | ||||
\(175\) | 8.89928 | + | 9.66484i | 0.672722 | + | 0.730593i | ||||
\(176\) | −1.66385 | + | 0.488549i | −0.125417 | + | 0.0368258i | ||||
\(177\) | 4.59067 | + | 3.61014i | 0.345056 | + | 0.271355i | ||||
\(178\) | −9.90119 | − | 1.90830i | −0.742126 | − | 0.143033i | ||||
\(179\) | −0.913807 | − | 0.471100i | −0.0683011 | − | 0.0352117i | 0.423738 | − | 0.905785i | \(-0.360718\pi\) |
−0.492039 | + | 0.870573i | \(0.663748\pi\) | |||||||
\(180\) | 0.246018 | − | 0.0474161i | 0.0183371 | − | 0.00353419i | ||||
\(181\) | −21.5866 | − | 6.33841i | −1.60452 | − | 0.471130i | −0.647722 | − | 0.761877i | \(-0.724278\pi\) |
−0.956800 | + | 0.290747i | \(0.906096\pi\) | |||||||
\(182\) | 1.06455 | + | 0.172030i | 0.0789093 | + | 0.0127517i | ||||
\(183\) | 10.5001 | 0.776190 | ||||||||
\(184\) | −6.54797 | − | 11.1578i | −0.482722 | − | 0.822563i | ||||
\(185\) | 0.741819 | + | 1.28487i | 0.0545396 | + | 0.0944653i | ||||
\(186\) | 5.53472 | − | 0.528502i | 0.405825 | − | 0.0387516i | ||||
\(187\) | −0.938559 | + | 0.894914i | −0.0686343 | + | 0.0654426i | ||||
\(188\) | −0.930628 | − | 1.07400i | −0.0678730 | − | 0.0783296i | ||||
\(189\) | −0.545877 | + | 2.58883i | −0.0397067 | + | 0.188309i | ||||
\(190\) | −0.238784 | + | 0.275572i | −0.0173232 | + | 0.0199921i | ||||
\(191\) | 13.8214 | + | 10.8692i | 1.00008 | + | 0.786470i | 0.976995 | − | 0.213263i | \(-0.0684092\pi\) |
0.0230836 | + | 0.999734i | \(0.492652\pi\) | |||||||
\(192\) | −2.61865 | − | 2.49688i | −0.188985 | − | 0.180197i | ||||
\(193\) | 0.985785 | − | 20.6942i | 0.0709584 | − | 1.48960i | −0.630110 | − | 0.776506i | \(-0.716990\pi\) |
0.701069 | − | 0.713094i | \(-0.252707\pi\) | |||||||
\(194\) | −4.30634 | − | 1.72400i | −0.309177 | − | 0.123776i | ||||
\(195\) | 0.0389786 | + | 0.0853512i | 0.00279132 | + | 0.00611213i | ||||
\(196\) | 7.78180 | + | 5.39298i | 0.555843 | + | 0.385213i | ||||
\(197\) | 2.34151 | + | 16.2856i | 0.166826 | + | 1.16030i | 0.885393 | + | 0.464842i | \(0.153889\pi\) |
−0.718567 | + | 0.695457i | \(0.755202\pi\) | |||||||
\(198\) | −2.32029 | + | 1.19619i | −0.164896 | + | 0.0850097i | ||||
\(199\) | 16.7833 | + | 16.0028i | 1.18974 | + | 1.13441i | 0.987916 | + | 0.154989i | \(0.0495343\pi\) |
0.201821 | + | 0.979422i | \(0.435314\pi\) | |||||||
\(200\) | 12.4359 | − | 4.97858i | 0.879351 | − | 0.352039i | ||||
\(201\) | −1.48775 | − | 4.29858i | −0.104938 | − | 0.303199i | ||||
\(202\) | 3.75511 | − | 2.41326i | 0.264208 | − | 0.169796i | ||||
\(203\) | 12.0186 | + | 0.782494i | 0.843543 | + | 0.0549203i | ||||
\(204\) | 0.518752 | + | 0.152319i | 0.0363199 | + | 0.0106645i | ||||
\(205\) | −0.357158 | − | 0.501558i | −0.0249450 | − | 0.0350303i | ||||
\(206\) | −0.340033 | − | 0.588954i | −0.0236912 | − | 0.0410344i | ||||
\(207\) | 3.16624 | + | 3.60207i | 0.220069 | + | 0.250361i | ||||
\(208\) | −0.135373 | + | 0.234474i | −0.00938646 | + | 0.0162578i | ||||
\(209\) | −3.29703 | + | 7.21948i | −0.228060 | + | 0.499382i | ||||
\(210\) | 0.00686733 | − | 0.394292i | 0.000473891 | − | 0.0272088i | ||||
\(211\) | −13.6179 | − | 15.7159i | −0.937493 | − | 1.08192i | −0.996494 | − | 0.0836665i | \(-0.973337\pi\) |
0.0590010 | − | 0.998258i | \(-0.481208\pi\) | |||||||
\(212\) | 0.0603164 | + | 1.26620i | 0.00414254 | + | 0.0869627i | ||||
\(213\) | 14.0448 | + | 2.70691i | 0.962332 | + | 0.185474i | ||||
\(214\) | −1.38556 | + | 0.554695i | −0.0947150 | + | 0.0379181i | ||||
\(215\) | −0.150644 | + | 0.620963i | −0.0102738 | + | 0.0423493i | ||||
\(216\) | 2.26937 | + | 1.45843i | 0.154411 | + | 0.0992338i | ||||
\(217\) | −2.05443 | + | 18.1658i | −0.139464 | + | 1.23317i | ||||
\(218\) | −1.06494 | − | 2.33189i | −0.0721266 | − | 0.157935i | ||||
\(219\) | 6.40841 | + | 0.611929i | 0.433040 | + | 0.0413503i | ||||
\(220\) | −0.638937 | + | 0.502466i | −0.0430771 | + | 0.0338762i | ||||
\(221\) | −0.00963423 | + | 0.202247i | −0.000648068 | + | 0.0136046i | ||||
\(222\) | −1.51937 | + | 6.26295i | −0.101974 | + | 0.420342i | ||||
\(223\) | 2.06205 | − | 14.3418i | 0.138085 | − | 0.960401i | −0.796494 | − | 0.604646i | \(-0.793315\pi\) |
0.934579 | − | 0.355755i | \(-0.115776\pi\) | |||||||
\(224\) | 12.7082 | − | 8.72001i | 0.849105 | − | 0.582630i | ||||
\(225\) | −4.17740 | + | 2.68465i | −0.278493 | + | 0.178977i | ||||
\(226\) | 1.82523 | − | 0.351784i | 0.121413 | − | 0.0234004i | ||||
\(227\) | −0.0442448 | − | 0.182380i | −0.00293663 | − | 0.0121050i | 0.970324 | − | 0.241807i | \(-0.0777400\pi\) |
−0.973261 | + | 0.229702i | \(0.926225\pi\) | |||||||
\(228\) | 3.29386 | − | 0.314525i | 0.218141 | − | 0.0208299i | ||||
\(229\) | 2.19499 | − | 3.80183i | 0.145049 | − | 0.251232i | −0.784342 | − | 0.620328i | \(-0.786999\pi\) |
0.929391 | + | 0.369096i | \(0.120333\pi\) | |||||||
\(230\) | −0.565011 | − | 0.437876i | −0.0372557 | − | 0.0288727i | ||||
\(231\) | −2.27448 | − | 8.27674i | −0.149650 | − | 0.544569i | ||||
\(232\) | 5.10134 | − | 11.1704i | 0.334920 | − | 0.733372i | ||||
\(233\) | −9.86259 | + | 9.40396i | −0.646120 | + | 0.616074i | −0.940573 | − | 0.339592i | \(-0.889711\pi\) |
0.294453 | + | 0.955666i | \(0.404862\pi\) | |||||||
\(234\) | −0.133306 | + | 0.385164i | −0.00871451 | + | 0.0251789i | ||||
\(235\) | −0.172992 | − | 0.0891838i | −0.0112848 | − | 0.00581771i | ||||
\(236\) | 2.58355 | + | 7.46467i | 0.168175 | + | 0.485909i | ||||
\(237\) | 1.27200 | − | 8.84697i | 0.0826255 | − | 0.574673i | ||||
\(238\) | 0.403050 | − | 0.749469i | 0.0261259 | − | 0.0485808i | ||||
\(239\) | 17.0253 | + | 10.9415i | 1.10127 | + | 0.707746i | 0.959375 | − | 0.282135i | \(-0.0910426\pi\) |
0.141900 | + | 0.989881i | \(0.454679\pi\) | |||||||
\(240\) | 0.0919191 | + | 0.0367989i | 0.00593335 | + | 0.00237536i | ||||
\(241\) | −6.61892 | + | 9.29498i | −0.426362 | + | 0.598742i | −0.970750 | − | 0.240091i | \(-0.922823\pi\) |
0.544388 | + | 0.838834i | \(0.316762\pi\) | |||||||
\(242\) | −0.221525 | + | 0.311089i | −0.0142402 | + | 0.0199975i | ||||
\(243\) | −0.928368 | − | 0.371662i | −0.0595548 | − | 0.0238422i | ||||
\(244\) | 11.9474 | + | 7.67816i | 0.764857 | + | 0.491544i | ||||
\(245\) | 1.26392 | + | 0.289587i | 0.0807492 | + | 0.0185010i | ||||
\(246\) | 0.380635 | − | 2.64737i | 0.0242684 | − | 0.168790i | ||||
\(247\) | 0.405294 | + | 1.17102i | 0.0257882 | + | 0.0745102i | ||||
\(248\) | 16.5678 | + | 8.54127i | 1.05205 | + | 0.542371i | ||||
\(249\) | −1.31957 | + | 3.81266i | −0.0836246 | + | 0.241617i | ||||
\(250\) | 1.07503 | − | 1.02504i | 0.0679910 | − | 0.0648293i | ||||
\(251\) | 6.74411 | − | 14.7675i | 0.425685 | − | 0.932119i | −0.568323 | − | 0.822806i | \(-0.692407\pi\) |
0.994007 | − | 0.109313i | \(-0.0348652\pi\) | |||||||
\(252\) | −2.51419 | + | 2.54650i | −0.158379 | + | 0.160414i | ||||
\(253\) | −14.4852 | − | 5.68006i | −0.910676 | − | 0.357102i | ||||
\(254\) | −2.87008 | + | 4.97112i | −0.180085 | + | 0.311916i | ||||
\(255\) | 0.0737099 | − | 0.00703845i | 0.00461590 | − | 0.000440765i | ||||
\(256\) | −3.36390 | − | 13.8662i | −0.210244 | − | 0.866638i | ||||
\(257\) | −30.2835 | + | 5.83667i | −1.88903 | + | 0.364081i | −0.996259 | − | 0.0864226i | \(-0.972456\pi\) |
−0.892774 | + | 0.450504i | \(0.851244\pi\) | |||||||
\(258\) | −2.33496 | + | 1.50059i | −0.145368 | + | 0.0934225i | ||||
\(259\) | −19.1194 | − | 9.13724i | −1.18802 | − | 0.567760i | ||||
\(260\) | −0.0180613 | + | 0.125619i | −0.00112011 | + | 0.00779056i | ||||
\(261\) | −1.07323 | + | 4.42391i | −0.0664313 | + | 0.273833i | ||||
\(262\) | −0.357069 | + | 7.49580i | −0.0220598 | + | 0.463092i | ||||
\(263\) | −4.98879 | + | 3.92323i | −0.307622 | + | 0.241916i | −0.760020 | − | 0.649900i | \(-0.774811\pi\) |
0.452398 | + | 0.891816i | \(0.350569\pi\) | |||||||
\(264\) | −8.71215 | − | 0.831910i | −0.536196 | − | 0.0512005i | ||||
\(265\) | 0.0721197 | + | 0.157920i | 0.00443028 | + | 0.00970096i | ||||
\(266\) | 0.585261 | − | 5.17503i | 0.0358847 | − | 0.317301i | ||||
\(267\) | 10.5422 | + | 6.77508i | 0.645174 | + | 0.414628i | ||||
\(268\) | 1.45049 | − | 5.97901i | 0.0886029 | − | 0.365226i | ||||
\(269\) | 23.7590 | − | 9.51167i | 1.44861 | − | 0.579937i | 0.491817 | − | 0.870699i | \(-0.336333\pi\) |
0.956795 | + | 0.290762i | \(0.0939088\pi\) | |||||||
\(270\) | 0.146358 | + | 0.0282081i | 0.00890704 | + | 0.00171669i | ||||
\(271\) | −0.251733 | − | 5.28452i | −0.0152917 | − | 0.321012i | −0.993533 | − | 0.113542i | \(-0.963780\pi\) |
0.978242 | − | 0.207469i | \(-0.0665227\pi\) | |||||||
\(272\) | 0.139915 | + | 0.161471i | 0.00848362 | + | 0.00979061i | ||||
\(273\) | −1.14878 | − | 0.690195i | −0.0695271 | − | 0.0417725i | ||||
\(274\) | 2.47041 | − | 5.40945i | 0.149243 | − | 0.326797i | ||||
\(275\) | 8.05505 | − | 13.9518i | 0.485738 | − | 0.841322i | ||||
\(276\) | 0.968682 | + | 6.41388i | 0.0583078 | + | 0.386070i | ||||
\(277\) | 6.69100 | + | 11.5892i | 0.402023 | + | 0.696325i | 0.993970 | − | 0.109652i | \(-0.0349737\pi\) |
−0.591947 | + | 0.805977i | \(0.701640\pi\) | |||||||
\(278\) | −1.27095 | − | 1.78480i | −0.0762266 | − | 0.107045i | ||||
\(279\) | −6.62989 | − | 1.94671i | −0.396921 | − | 0.116547i | ||||
\(280\) | 0.734034 | − | 1.09959i | 0.0438669 | − | 0.0657133i | ||||
\(281\) | −7.10324 | + | 4.56498i | −0.423744 | + | 0.272324i | −0.735086 | − | 0.677974i | \(-0.762858\pi\) |
0.311342 | + | 0.950298i | \(0.399222\pi\) | |||||||
\(282\) | −0.276511 | − | 0.798927i | −0.0164660 | − | 0.0475754i | ||||
\(283\) | −2.62232 | + | 1.04982i | −0.155881 | + | 0.0624053i | −0.448291 | − | 0.893888i | \(-0.647967\pi\) |
0.292410 | + | 0.956293i | \(0.405543\pi\) | |||||||
\(284\) | 14.0013 | + | 13.3502i | 0.830824 | + | 0.792189i | ||||
\(285\) | 0.402787 | − | 0.207651i | 0.0238591 | − | 0.0123002i | ||||
\(286\) | −0.188184 | − | 1.30885i | −0.0111275 | − | 0.0773937i | ||||
\(287\) | 8.25935 | + | 3.02065i | 0.487534 | + | 0.178303i | ||||
\(288\) | 2.41991 | + | 5.29887i | 0.142595 | + | 0.312239i | ||||
\(289\) | −15.6339 | − | 6.25888i | −0.919642 | − | 0.368169i | ||||
\(290\) | 0.0322851 | − | 0.677747i | 0.00189584 | − | 0.0397987i | ||||
\(291\) | 4.17220 | + | 3.97818i | 0.244579 | + | 0.233205i | ||||
\(292\) | 6.84427 | + | 5.38240i | 0.400531 | + | 0.314981i | ||||
\(293\) | 16.7557 | − | 19.3371i | 0.978877 | − | 1.12968i | −0.0126677 | − | 0.999920i | \(-0.504032\pi\) |
0.991545 | − | 0.129765i | \(-0.0414222\pi\) | |||||||
\(294\) | 3.10541 | + | 4.69908i | 0.181111 | + | 0.274056i | ||||
\(295\) | 0.708445 | + | 0.817589i | 0.0412473 | + | 0.0476019i | ||||
\(296\) | −15.6369 | + | 14.9098i | −0.908878 | + | 0.866613i | ||||
\(297\) | 3.22959 | − | 0.308389i | 0.187400 | − | 0.0178945i | ||||
\(298\) | −1.20698 | − | 2.09055i | −0.0699184 | − | 0.121102i | ||||
\(299\) | −2.24879 | + | 0.918848i | −0.130051 | + | 0.0531384i | ||||
\(300\) | −6.71635 | −0.387769 | ||||||||
\(301\) | −3.24388 | − | 8.53044i | −0.186974 | − | 0.491686i | ||||
\(302\) | 12.9375 | + | 3.79880i | 0.744470 | + | 0.218596i | ||||
\(303\) | −5.44720 | + | 1.04986i | −0.312933 | + | 0.0603129i | ||||
\(304\) | 1.16224 | + | 0.599176i | 0.0666589 | + | 0.0343651i | ||||
\(305\) | 1.90988 | + | 0.368100i | 0.109360 | + | 0.0210773i | ||||
\(306\) | 0.252824 | + | 0.198823i | 0.0144530 | + | 0.0113659i | ||||
\(307\) | −9.85405 | + | 2.89341i | −0.562400 | + | 0.165136i | −0.550562 | − | 0.834794i | \(-0.685587\pi\) |
−0.0118383 | + | 0.999930i | \(0.503768\pi\) | |||||||
\(308\) | 3.46433 | − | 11.0808i | 0.197398 | − | 0.631388i | ||||
\(309\) | 0.120281 | + | 0.836576i | 0.00684257 | + | 0.0475911i | ||||
\(310\) | 1.02525 | + | 0.0978993i | 0.0582302 | + | 0.00556031i | ||||
\(311\) | 8.47341 | − | 11.8992i | 0.480483 | − | 0.674744i | −0.501186 | − | 0.865340i | \(-0.667103\pi\) |
0.981669 | + | 0.190596i | \(0.0610420\pi\) | |||||||
\(312\) | −1.07409 | + | 0.844674i | −0.0608084 | + | 0.0478202i | ||||
\(313\) | 24.5029 | − | 12.6321i | 1.38498 | − | 0.714009i | 0.405230 | − | 0.914215i | \(-0.367191\pi\) |
0.979754 | + | 0.200206i | \(0.0641612\pi\) | |||||||
\(314\) | −15.4932 | + | 4.54921i | −0.874332 | + | 0.256727i | ||||
\(315\) | −0.190046 | + | 0.451749i | −0.0107079 | + | 0.0254532i | ||||
\(316\) | 7.91664 | − | 9.13629i | 0.445346 | − | 0.513957i | ||||
\(317\) | −0.476096 | − | 9.99448i | −0.0267402 | − | 0.561346i | −0.971993 | − | 0.235008i | \(-0.924488\pi\) |
0.945253 | − | 0.326338i | \(-0.105815\pi\) | |||||||
\(318\) | −0.246649 | + | 0.712645i | −0.0138314 | + | 0.0399631i | ||||
\(319\) | −3.48186 | − | 14.3524i | −0.194947 | − | 0.803582i | ||||
\(320\) | −0.388779 | − | 0.545963i | −0.0217334 | − | 0.0305203i | ||||
\(321\) | 1.85483 | 0.103526 | ||||||||
\(322\) | 10.1926 | + | 0.591003i | 0.568013 | + | 0.0329353i | ||||
\(323\) | 0.977879 | 0.0544107 | ||||||||
\(324\) | −0.784558 | − | 1.10176i | −0.0435865 | − | 0.0612087i | ||||
\(325\) | −0.593005 | − | 2.44440i | −0.0328940 | − | 0.135591i | ||||
\(326\) | −0.103943 | + | 0.300323i | −0.00575685 | + | 0.0166333i | ||||
\(327\) | 0.151594 | + | 3.18234i | 0.00838315 | + | 0.175984i | ||||
\(328\) | 5.87196 | − | 6.77660i | 0.324225 | − | 0.374175i | ||||
\(329\) | 2.75803 | − | 0.347638i | 0.152055 | − | 0.0191659i | ||||
\(330\) | −0.463976 | + | 0.136236i | −0.0255411 | + | 0.00749953i | ||||
\(331\) | 19.8980 | − | 10.2581i | 1.09369 | − | 0.563838i | 0.185609 | − | 0.982624i | \(-0.440574\pi\) |
0.908085 | + | 0.418785i | \(0.137544\pi\) | |||||||
\(332\) | −4.28945 | + | 3.37326i | −0.235414 | + | 0.185132i | ||||
\(333\) | 4.64585 | − | 6.52418i | 0.254591 | − | 0.357523i | ||||
\(334\) | 18.7883 | + | 1.79407i | 1.02805 | + | 0.0981670i | ||||
\(335\) | −0.119916 | − | 0.834032i | −0.00655170 | − | 0.0455680i | ||||
\(336\) | −1.37990 | + | 0.309420i | −0.0752799 | + | 0.0168803i | ||||
\(337\) | −13.3266 | + | 3.91304i | −0.725945 | + | 0.213157i | −0.623768 | − | 0.781610i | \(-0.714399\pi\) |
−0.102177 | + | 0.994766i | \(0.532581\pi\) | |||||||
\(338\) | 8.06009 | + | 6.33853i | 0.438411 | + | 0.344770i | ||||
\(339\) | −2.26838 | − | 0.437194i | −0.123201 | − | 0.0237451i | ||||
\(340\) | 0.0890169 | + | 0.0458914i | 0.00482762 | + | 0.00248881i | ||||
\(341\) | 22.0122 | − | 4.24250i | 1.19203 | − | 0.229744i | ||||
\(342\) | 1.88871 | + | 0.554575i | 0.102130 | + | 0.0299880i | ||||
\(343\) | −17.2254 | + | 6.80334i | −0.930084 | + | 0.367346i | ||||
\(344\) | −9.30525 | −0.501705 | ||||||||
\(345\) | 0.449637 | + | 0.766185i | 0.0242076 | + | 0.0412500i | ||||
\(346\) | −8.70077 | − | 15.0702i | −0.467756 | − | 0.810177i | ||||
\(347\) | −28.4612 | + | 2.71771i | −1.52788 | + | 0.145894i | −0.824883 | − | 0.565303i | \(-0.808759\pi\) |
−0.702992 | + | 0.711198i | \(0.748153\pi\) | |||||||
\(348\) | −4.45613 | + | 4.24891i | −0.238874 | + | 0.227766i | ||||
\(349\) | −17.4425 | − | 20.1297i | −0.933675 | − | 1.07752i | −0.996834 | − | 0.0795153i | \(-0.974663\pi\) |
0.0631583 | − | 0.998004i | \(-0.479883\pi\) | |||||||
\(350\) | −2.18110 | + | 10.3439i | −0.116585 | + | 0.552905i | ||||
\(351\) | 0.331711 | − | 0.382815i | 0.0177054 | − | 0.0204331i | ||||
\(352\) | −14.8555 | − | 11.6825i | −0.791802 | − | 0.622680i | ||||
\(353\) | −7.16415 | − | 6.83101i | −0.381309 | − | 0.363578i | 0.475049 | − | 0.879959i | \(-0.342430\pi\) |
−0.856359 | + | 0.516381i | \(0.827279\pi\) | |||||||
\(354\) | −0.223598 | + | 4.69390i | −0.0118841 | + | 0.249478i | ||||
\(355\) | 2.45973 | + | 0.984728i | 0.130549 | + | 0.0522639i | ||||
\(356\) | 7.04112 | + | 15.4179i | 0.373179 | + | 0.817148i | ||||
\(357\) | −0.811204 | + | 0.678544i | −0.0429335 | + | 0.0359123i | ||||
\(358\) | −0.117729 | − | 0.818826i | −0.00622220 | − | 0.0432763i | ||||
\(359\) | 16.0258 | − | 8.26186i | 0.845808 | − | 0.436044i | 0.0198681 | − | 0.999803i | \(-0.493675\pi\) |
0.825940 | + | 0.563758i | \(0.190645\pi\) | |||||||
\(360\) | 0.361651 | + | 0.344834i | 0.0190607 | + | 0.0181743i | ||||
\(361\) | −12.0830 | + | 4.83730i | −0.635947 | + | 0.254595i | ||||
\(362\) | −5.92084 | − | 17.1071i | −0.311192 | − | 0.899131i | ||||
\(363\) | 0.399280 | − | 0.256602i | 0.0209568 | − | 0.0134681i | ||||
\(364\) | −0.802422 | − | 1.62537i | −0.0420583 | − | 0.0851925i | ||||
\(365\) | 1.14418 | + | 0.335963i | 0.0598894 | + | 0.0175851i | ||||
\(366\) | 4.90079 | + | 6.88220i | 0.256169 | + | 0.359738i | ||||
\(367\) | −6.27091 | − | 10.8615i | −0.327339 | − | 0.566968i | 0.654644 | − | 0.755937i | \(-0.272819\pi\) |
−0.981983 | + | 0.188970i | \(0.939485\pi\) | |||||||
\(368\) | −1.04830 | + | 2.33925i | −0.0546465 | + | 0.121942i | ||||
\(369\) | −1.66198 | + | 2.87864i | −0.0865193 | + | 0.149856i | ||||
\(370\) | −0.495920 | + | 1.08591i | −0.0257817 | + | 0.0564540i | ||||
\(371\) | −2.12551 | − | 1.27703i | −0.110351 | − | 0.0662999i | ||||
\(372\) | −6.12023 | − | 7.06312i | −0.317319 | − | 0.366206i | ||||
\(373\) | 1.48617 | + | 31.1984i | 0.0769507 | + | 1.61539i | 0.626150 | + | 0.779703i | \(0.284630\pi\) |
−0.549199 | + | 0.835691i | \(0.685067\pi\) | |||||||
\(374\) | −1.02462 | − | 0.197480i | −0.0529821 | − | 0.0102115i | ||||
\(375\) | −1.71380 | + | 0.686102i | −0.0885003 | + | 0.0354302i | ||||
\(376\) | 0.668219 | − | 2.75444i | 0.0344608 | − | 0.142049i | ||||
\(377\) | −1.93982 | − | 1.24665i | −0.0999061 | − | 0.0642057i | ||||
\(378\) | −1.95160 | + | 0.850512i | −0.100380 | + | 0.0437456i | ||||
\(379\) | −8.61388 | − | 18.8618i | −0.442465 | − | 0.968864i | −0.991139 | − | 0.132827i | \(-0.957594\pi\) |
0.548674 | − | 0.836036i | \(-0.315133\pi\) | |||||||
\(380\) | 0.610152 | + | 0.0582624i | 0.0313001 | + | 0.00298880i | ||||
\(381\) | 5.60755 | − | 4.40983i | 0.287284 | − | 0.225922i | ||||
\(382\) | −0.673198 | + | 14.1322i | −0.0344438 | + | 0.723065i | ||||
\(383\) | 0.285585 | − | 1.17720i | 0.0145927 | − | 0.0601519i | −0.964050 | − | 0.265722i | \(-0.914390\pi\) |
0.978642 | + | 0.205570i | \(0.0659048\pi\) | |||||||
\(384\) | −1.24372 | + | 8.65023i | −0.0634681 | + | 0.441430i | ||||
\(385\) | −0.123554 | − | 1.58521i | −0.00629690 | − | 0.0807896i | ||||
\(386\) | 14.0239 | − | 9.01262i | 0.713799 | − | 0.458730i | ||||
\(387\) | 3.38712 | − | 0.652813i | 0.172177 | − | 0.0331844i | ||||
\(388\) | 1.83827 | + | 7.57744i | 0.0933239 | + | 0.384686i | ||||
\(389\) | −21.3242 | + | 2.03622i | −1.08118 | + | 0.103240i | −0.620409 | − | 0.784278i | \(-0.713033\pi\) |
−0.460772 | + | 0.887519i | \(0.652427\pi\) | |||||||
\(390\) | −0.0377499 | + | 0.0653848i | −0.00191154 | + | 0.00331089i | ||||
\(391\) | 0.104802 | + | 1.91416i | 0.00530007 | + | 0.0968032i | ||||
\(392\) | 0.241126 | + | 18.8817i | 0.0121787 | + | 0.953668i | ||||
\(393\) | 3.87428 | − | 8.48348i | 0.195431 | − | 0.427935i | ||||
\(394\) | −9.58137 | + | 9.13582i | −0.482702 | + | 0.460256i | ||||
\(395\) | 0.541513 | − | 1.56460i | 0.0272465 | − | 0.0787235i | ||||
\(396\) | 3.90027 | + | 2.01073i | 0.195996 | + | 0.101043i | ||||
\(397\) | −8.92714 | − | 25.7933i | −0.448040 | − | 1.29453i | −0.912552 | − | 0.408961i | \(-0.865891\pi\) |
0.464512 | − | 0.885567i | \(-0.346230\pi\) | |||||||
\(398\) | −2.65553 | + | 18.4696i | −0.133110 | + | 0.925797i | ||||
\(399\) | −3.06559 | + | 5.70044i | −0.153472 | + | 0.285379i | ||||
\(400\) | −2.23285 | − | 1.43496i | −0.111642 | − | 0.0717481i | ||||
\(401\) | 37.1360 | + | 14.8670i | 1.85448 | + | 0.742424i | 0.945538 | + | 0.325513i | \(0.105537\pi\) |
0.908947 | + | 0.416911i | \(0.136887\pi\) | |||||||
\(402\) | 2.12308 | − | 2.98144i | 0.105889 | − | 0.148701i | ||||
\(403\) | 2.03023 | − | 2.85107i | 0.101133 | − | 0.142022i | ||||
\(404\) | −6.96574 | − | 2.78866i | −0.346559 | − | 0.138741i | ||||
\(405\) | −0.155833 | − | 0.100148i | −0.00774341 | − | 0.00497639i | ||||
\(406\) | 5.09667 | + | 8.24273i | 0.252943 | + | 0.409080i | ||||
\(407\) | −3.69797 | + | 25.7200i | −0.183302 | + | 1.27489i | ||||
\(408\) | 0.352679 | + | 1.01900i | 0.0174602 | + | 0.0504480i | ||||
\(409\) | −32.6332 | − | 16.8236i | −1.61361 | − | 0.831874i | −0.999076 | − | 0.0429837i | \(-0.986314\pi\) |
−0.614534 | − | 0.788890i | \(-0.710656\pi\) | |||||||
\(410\) | 0.162043 | − | 0.468192i | 0.00800272 | − | 0.0231223i | ||||
\(411\) | −5.34890 | + | 5.10016i | −0.263842 | + | 0.251573i | ||||
\(412\) | −0.474881 | + | 1.03984i | −0.0233957 | + | 0.0512295i | ||||
\(413\) | −14.9503 | − | 3.90379i | −0.735657 | − | 0.192093i | ||||
\(414\) | −0.883140 | + | 3.75651i | −0.0434040 | + | 0.184622i | ||||
\(415\) | −0.373679 | + | 0.647231i | −0.0183432 | + | 0.0317713i | ||||
\(416\) | −2.93736 | + | 0.280484i | −0.144016 | + | 0.0137519i | ||||
\(417\) | 0.641984 | + | 2.64629i | 0.0314381 | + | 0.129590i | ||||
\(418\) | −6.27079 | + | 1.20860i | −0.306714 | + | 0.0591143i | ||||
\(419\) | 11.9689 | − | 7.69195i | 0.584719 | − | 0.375776i | −0.214583 | − | 0.976706i | \(-0.568839\pi\) |
0.799302 | + | 0.600930i | \(0.205203\pi\) | |||||||
\(420\) | −0.546582 | + | 0.375048i | −0.0266705 | + | 0.0183005i | ||||
\(421\) | 1.33432 | − | 9.28037i | 0.0650306 | − | 0.452298i | −0.931125 | − | 0.364699i | \(-0.881172\pi\) |
0.996156 | − | 0.0875982i | \(-0.0279192\pi\) | |||||||
\(422\) | 3.94485 | − | 16.2609i | 0.192032 | − | 0.791568i | ||||
\(423\) | −0.0499936 | + | 1.04950i | −0.00243077 | + | 0.0510282i | ||||
\(424\) | −1.98732 | + | 1.56285i | −0.0965130 | + | 0.0758986i | ||||
\(425\) | −1.97593 | − | 0.188679i | −0.0958468 | − | 0.00915226i | ||||
\(426\) | 4.78100 | + | 10.4689i | 0.231640 | + | 0.507221i | ||||
\(427\) | −25.4673 | + | 11.0987i | −1.23245 | + | 0.537104i | ||||
\(428\) | 2.11050 | + | 1.35633i | 0.102015 | + | 0.0655608i | ||||
\(429\) | −0.387434 | + | 1.59703i | −0.0187055 | + | 0.0771051i | ||||
\(430\) | −0.477315 | + | 0.191088i | −0.0230182 | + | 0.00921510i | ||||
\(431\) | −15.2389 | − | 2.93706i | −0.734033 | − | 0.141473i | −0.191482 | − | 0.981496i | \(-0.561329\pi\) |
−0.542551 | + | 0.840023i | \(0.682541\pi\) | |||||||
\(432\) | −0.0254328 | − | 0.533901i | −0.00122364 | − | 0.0256873i | ||||
\(433\) | 20.9542 | + | 24.1824i | 1.00699 | + | 1.16213i | 0.986735 | + | 0.162336i | \(0.0519030\pi\) |
0.0202570 | + | 0.999795i | \(0.493552\pi\) | |||||||
\(434\) | −12.8655 | + | 7.13209i | −0.617563 | + | 0.342351i | ||||
\(435\) | −0.350300 | + | 0.767050i | −0.0167956 | + | 0.0367772i | ||||
\(436\) | −2.15459 | + | 3.73185i | −0.103186 | + | 0.178723i | ||||
\(437\) | 4.94941 | + | 10.6373i | 0.236762 | + | 0.508850i | ||||
\(438\) | 2.58996 | + | 4.48594i | 0.123753 | + | 0.214347i | ||||
\(439\) | 15.6152 | + | 21.9285i | 0.745275 | + | 1.04659i | 0.996893 | + | 0.0787652i | \(0.0250978\pi\) |
−0.251619 | + | 0.967826i | \(0.580963\pi\) | |||||||
\(440\) | −1.55551 | − | 0.456737i | −0.0741558 | − | 0.0217741i | ||||
\(441\) | −1.41242 | − | 6.85602i | −0.0672581 | − | 0.326477i | ||||
\(442\) | −0.137058 | + | 0.0880817i | −0.00651918 | + | 0.00418962i | ||||
\(443\) | 0.125170 | + | 0.361656i | 0.00594702 | + | 0.0171828i | 0.947935 | − | 0.318463i | \(-0.103167\pi\) |
−0.941988 | + | 0.335646i | \(0.891045\pi\) | |||||||
\(444\) | 10.0570 | − | 4.02622i | 0.477285 | − | 0.191076i | ||||
\(445\) | 1.68003 | + | 1.60191i | 0.0796411 | + | 0.0759377i | ||||
\(446\) | 10.3627 | − | 5.34233i | 0.490687 | − | 0.252967i | ||||
\(447\) | 0.426951 | + | 2.96951i | 0.0201941 | + | 0.140453i | ||||
\(448\) | 8.99059 | + | 3.28808i | 0.424766 | + | 0.155347i | ||||
\(449\) | −5.43346 | − | 11.8976i | −0.256421 | − | 0.561483i | 0.737015 | − | 0.675877i | \(-0.236235\pi\) |
−0.993436 | + | 0.114393i | \(0.963508\pi\) | |||||||
\(450\) | −3.70938 | − | 1.48501i | −0.174862 | − | 0.0700042i | ||||
\(451\) | 0.513118 | − | 10.7717i | 0.0241618 | − | 0.507218i | ||||
\(452\) | −2.26136 | − | 2.15620i | −0.106365 | − | 0.101419i | ||||
\(453\) | −13.1722 | − | 10.3587i | −0.618885 | − | 0.486696i | ||||
\(454\) | 0.0988884 | − | 0.114123i | 0.00464106 | − | 0.00535607i | ||||
\(455\) | −0.184757 | − | 0.165813i | −0.00866154 | − | 0.00777344i | ||||
\(456\) | 4.32163 | + | 4.98743i | 0.202379 | + | 0.233558i | ||||
\(457\) | −20.5197 | + | 19.5655i | −0.959873 | + | 0.915237i | −0.996458 | − | 0.0840937i | \(-0.973200\pi\) |
0.0365851 | + | 0.999331i | \(0.488352\pi\) | |||||||
\(458\) | 3.51636 | − | 0.335772i | 0.164309 | − | 0.0156896i | ||||
\(459\) | −0.199864 | − | 0.346174i | −0.00932884 | − | 0.0161580i | ||||
\(460\) | −0.0486546 | + | 1.20059i | −0.00226853 | + | 0.0559778i | ||||
\(461\) | −13.5809 | −0.632527 | −0.316263 | − | 0.948671i | \(-0.602428\pi\) | ||||
−0.316263 | + | 0.948671i | \(0.602428\pi\) | |||||||
\(462\) | 4.36333 | − | 5.35385i | 0.203000 | − | 0.249084i | ||||
\(463\) | −10.8023 | − | 3.17183i | −0.502023 | − | 0.147407i | 0.0209092 | − | 0.999781i | \(-0.493344\pi\) |
−0.522933 | + | 0.852374i | \(0.675162\pi\) | |||||||
\(464\) | −2.38923 | + | 0.460486i | −0.110917 | + | 0.0213775i | ||||
\(465\) | −1.13768 | − | 0.586513i | −0.0527585 | − | 0.0271989i | ||||
\(466\) | −10.7670 | − | 2.07517i | −0.498771 | − | 0.0961302i | ||||
\(467\) | 17.4578 | + | 13.7290i | 0.807850 | + | 0.635300i | 0.934226 | − | 0.356682i | \(-0.116092\pi\) |
−0.126376 | + | 0.991982i | \(0.540334\pi\) | |||||||
\(468\) | 0.657366 | − | 0.193020i | 0.0303867 | − | 0.00892235i | ||||
\(469\) | 8.15208 | + | 8.85336i | 0.376428 | + | 0.408810i | ||||
\(470\) | −0.0222873 | − | 0.155012i | −0.00102804 | − | 0.00715016i | ||||
\(471\) | 19.9768 | + | 1.90755i | 0.920483 | + | 0.0878954i | ||||
\(472\) | −9.13845 | + | 12.8332i | −0.420631 | + | 0.590694i | ||||
\(473\) | −8.79672 | + | 6.91782i | −0.404474 | + | 0.318082i | ||||
\(474\) | 6.39236 | − | 3.29549i | 0.293611 | − | 0.151367i | ||||
\(475\) | −11.6558 | + | 3.42245i | −0.534805 | + | 0.157033i | ||||
\(476\) | −1.41920 | + | 0.178885i | −0.0650491 | + | 0.00819916i | ||||
\(477\) | 0.613745 | − | 0.708299i | 0.0281014 | − | 0.0324308i | ||||
\(478\) | 0.774839 | + | 16.2659i | 0.0354403 | + | 0.743984i | ||||
\(479\) | 0.720285 | − | 2.08113i | 0.0329107 | − | 0.0950891i | −0.927349 | − | 0.374198i | \(-0.877918\pi\) |
0.960259 | + | 0.279109i | \(0.0900391\pi\) | |||||||
\(480\) | 0.254401 | + | 1.04865i | 0.0116118 | + | 0.0478643i | ||||
\(481\) | 2.35329 | + | 3.30474i | 0.107301 | + | 0.150683i | ||||
\(482\) | −9.18161 | −0.418211 | ||||||||
\(483\) | −11.4869 | − | 5.38984i | −0.522674 | − | 0.245246i | ||||
\(484\) | 0.641955 | 0.0291798 | ||||||||
\(485\) | 0.619426 | + | 0.869863i | 0.0281267 | + | 0.0394984i | ||||
\(486\) | −0.189701 | − | 0.781959i | −0.00860502 | − | 0.0354704i | ||||
\(487\) | 2.20311 | − | 6.36548i | 0.0998326 | − | 0.288447i | −0.884014 | − | 0.467460i | \(-0.845169\pi\) |
0.983847 | + | 0.179013i | \(0.0572904\pi\) | |||||||
\(488\) | 1.34776 | + | 28.2930i | 0.0610104 | + | 1.28076i | ||||
\(489\) | 0.258644 | − | 0.298491i | 0.0116963 | − | 0.0134982i | ||||
\(490\) | 0.400114 | + | 0.963589i | 0.0180753 | + | 0.0435305i | ||||
\(491\) | 31.6732 | − | 9.30009i | 1.42939 | − | 0.419707i | 0.526720 | − | 0.850039i | \(-0.323421\pi\) |
0.902671 | + | 0.430331i | \(0.141603\pi\) | |||||||
\(492\) | −3.99606 | + | 2.06011i | −0.180156 | + | 0.0928770i | ||||
\(493\) | −1.43034 | + | 1.12483i | −0.0644195 | + | 0.0506600i | ||||
\(494\) | −0.578369 | + | 0.812206i | −0.0260220 | + | 0.0365429i | ||||
\(495\) | 0.598247 | + | 0.0571257i | 0.0268892 | + | 0.00256761i | ||||
\(496\) | −0.525615 | − | 3.65573i | −0.0236008 | − | 0.164147i | ||||
\(497\) | −36.9259 | + | 8.28001i | −1.65635 | + | 0.371409i | ||||
\(498\) | −3.11487 | + | 0.914608i | −0.139581 | + | 0.0409846i | ||||
\(499\) | 10.7111 | + | 8.42327i | 0.479493 | + | 0.377077i | 0.828451 | − | 0.560061i | \(-0.189222\pi\) |
−0.348959 | + | 0.937138i | \(0.613465\pi\) | |||||||
\(500\) | −2.45174 | − | 0.472534i | −0.109645 | − | 0.0211324i | ||||
\(501\) | −20.8487 | − | 10.7482i | −0.931450 | − | 0.480196i | ||||
\(502\) | 12.8270 | − | 2.47220i | 0.572496 | − | 0.110340i | ||||
\(503\) | −5.26545 | − | 1.54607i | −0.234775 | − | 0.0689361i | 0.162229 | − | 0.986753i | \(-0.448132\pi\) |
−0.397003 | + | 0.917817i | \(0.629950\pi\) | |||||||
\(504\) | −7.04578 | − | 1.13860i | −0.313844 | − | 0.0507171i | ||||
\(505\) | −1.02760 | −0.0457278 | ||||||||
\(506\) | −3.03783 | − | 12.1453i | −0.135048 | − | 0.539924i | ||||
\(507\) | −6.37171 | − | 11.0361i | −0.282978 | − | 0.490132i | ||||
\(508\) | 9.60516 | − | 0.917182i | 0.426160 | − | 0.0406934i | ||||
\(509\) | 5.21177 | − | 4.96942i | 0.231008 | − | 0.220265i | −0.565730 | − | 0.824590i | \(-0.691406\pi\) |
0.796738 | + | 0.604325i | \(0.206557\pi\) | |||||||
\(510\) | 0.0390165 | + | 0.0450274i | 0.00172768 | + | 0.00199385i | ||||
\(511\) | −16.1900 | + | 5.28955i | −0.716203 | + | 0.233996i | ||||
\(512\) | −3.92747 | + | 4.53255i | −0.173571 | + | 0.200312i | ||||
\(513\) | −1.92297 | − | 1.51224i | −0.0849013 | − | 0.0667671i | ||||
\(514\) | −17.9600 | − | 17.1249i | −0.792183 | − | 0.755345i | ||||
\(515\) | −0.00744944 | + | 0.156383i | −0.000328261 | + | 0.00689106i | ||||
\(516\) | 4.33136 | + | 1.73402i | 0.190678 | + | 0.0763358i | ||||
\(517\) | −1.41603 | − | 3.10068i | −0.0622771 | − | 0.136368i | ||||
\(518\) | −2.93484 | − | 16.7964i | −0.128950 | − | 0.737990i | ||||
\(519\) | 3.07777 | + | 21.4063i | 0.135099 | + | 0.939634i | ||||
\(520\) | −0.224980 | + | 0.115985i | −0.00986601 | + | 0.00508628i | ||||
\(521\) | −10.2489 | − | 9.77232i | −0.449013 | − | 0.428133i | 0.431531 | − | 0.902098i | \(-0.357974\pi\) |
−0.880543 | + | 0.473965i | \(0.842822\pi\) | |||||||
\(522\) | −3.40053 | + | 1.36137i | −0.148837 | + | 0.0595854i | ||||
\(523\) | −5.57305 | − | 16.1023i | −0.243692 | − | 0.704103i | −0.998822 | − | 0.0485272i | \(-0.984547\pi\) |
0.755129 | − | 0.655576i | \(-0.227574\pi\) | |||||||
\(524\) | 10.6118 | − | 6.81980i | 0.463579 | − | 0.297924i | ||||
\(525\) | 7.29431 | − | 10.9270i | 0.318350 | − | 0.476893i | ||||
\(526\) | −4.89990 | − | 1.43874i | −0.213646 | − | 0.0627320i | ||||
\(527\) | −1.60214 | − | 2.24988i | −0.0697901 | − | 0.0980065i | ||||
\(528\) | 0.867044 | + | 1.50176i | 0.0377333 | + | 0.0653559i | ||||
\(529\) | −20.2916 | + | 10.8283i | −0.882243 | + | 0.470795i | ||||
\(530\) | −0.0698464 | + | 0.120978i | −0.00303393 | + | 0.00525493i | ||||
\(531\) | 2.42609 | − | 5.31239i | 0.105283 | − | 0.230538i | ||||
\(532\) | −7.65658 | + | 4.24449i | −0.331955 | + | 0.184022i | ||||
\(533\) | −1.10260 | − | 1.27246i | −0.0477587 | − | 0.0551165i | ||||
\(534\) | 0.479788 | + | 10.0720i | 0.0207625 | + | 0.435858i | ||||
\(535\) | 0.337378 | + | 0.0650242i | 0.0145861 | + | 0.00281124i | ||||
\(536\) | 11.3918 | − | 4.56057i | 0.492049 | − | 0.196987i | ||||
\(537\) | −0.242382 | + | 0.999114i | −0.0104596 | + | 0.0431149i | ||||
\(538\) | 17.3236 | + | 11.1332i | 0.746872 | + | 0.479985i | ||||
\(539\) | 14.2652 | + | 17.6705i | 0.614445 | + | 0.761124i | ||||
\(540\) | −0.104081 | − | 0.227905i | −0.00447891 | − | 0.00980745i | ||||
\(541\) | −1.79032 | − | 0.170954i | −0.0769717 | − | 0.00734991i | 0.0564991 | − | 0.998403i | \(-0.482006\pi\) |
−0.133471 | + | 0.991053i | \(0.542612\pi\) | |||||||
\(542\) | 3.34620 | − | 2.63148i | 0.143731 | − | 0.113032i | ||||
\(543\) | −1.07050 | + | 22.4725i | −0.0459394 | + | 0.964386i | ||||
\(544\) | −0.548971 | + | 2.26289i | −0.0235369 | + | 0.0970206i | ||||
\(545\) | −0.0839890 | + | 0.584157i | −0.00359770 | + | 0.0250225i | ||||
\(546\) | −0.0837950 | − | 1.07510i | −0.00358609 | − | 0.0460098i | ||||
\(547\) | −1.58686 | + | 1.01981i | −0.0678493 | + | 0.0436041i | −0.574126 | − | 0.818767i | \(-0.694658\pi\) |
0.506276 | + | 0.862371i | \(0.331022\pi\) | |||||||
\(548\) | −9.81566 | + | 1.89181i | −0.419304 | + | 0.0808143i | ||||
\(549\) | −2.47549 | − | 10.2041i | −0.105652 | − | 0.435502i | ||||
\(550\) | 12.9041 | − | 1.23220i | 0.550235 | − | 0.0525410i | ||||
\(551\) | −5.56822 | + | 9.64443i | −0.237214 | + | 0.410867i | ||||
\(552\) | −9.29953 | + | 8.99394i | −0.395814 | + | 0.382807i | ||||
\(553\) | 6.26616 | + | 22.8023i | 0.266464 | + | 0.969651i | ||||
\(554\) | −4.47307 | + | 9.79465i | −0.190042 | + | 0.416135i | ||||
\(555\) | 1.07376 | − | 1.02383i | 0.0455785 | − | 0.0434590i | ||||
\(556\) | −1.20462 | + | 3.48051i | −0.0510871 | + | 0.147606i | ||||
\(557\) | 14.6876 | + | 7.57197i | 0.622333 | + | 0.320835i | 0.740396 | − | 0.672171i | \(-0.234638\pi\) |
−0.118063 | + | 0.993006i | \(0.537668\pi\) | |||||||
\(558\) | −1.81846 | − | 5.25411i | −0.0769817 | − | 0.222424i | ||||
\(559\) | −0.248663 | + | 1.72949i | −0.0105173 | + | 0.0731496i | ||||
\(560\) | −0.261840 | + | 0.00790600i | −0.0110648 | + | 0.000334090i | ||||
\(561\) | 1.09096 | + | 0.701119i | 0.0460605 | + | 0.0296013i | ||||
\(562\) | −6.30742 | − | 2.52511i | −0.266063 | − | 0.106515i | ||||
\(563\) | −9.71166 | + | 13.6381i | −0.409298 | + | 0.574778i | −0.966844 | − | 0.255368i | \(-0.917803\pi\) |
0.557546 | + | 0.830146i | \(0.311743\pi\) | |||||||
\(564\) | −0.824323 | + | 1.15760i | −0.0347103 | + | 0.0487438i | ||||
\(565\) | −0.397273 | − | 0.159044i | −0.0167134 | − | 0.00669104i | ||||
\(566\) | −1.91203 | − | 1.22879i | −0.0803687 | − | 0.0516498i | ||||
\(567\) | 2.64455 | − | 0.0798493i | 0.111060 | − | 0.00335336i | ||||
\(568\) | −5.49114 | + | 38.1917i | −0.230403 | + | 1.60249i | ||||
\(569\) | −0.214664 | − | 0.620232i | −0.00899920 | − | 0.0260015i | 0.940412 | − | 0.340038i | \(-0.110440\pi\) |
−0.949411 | + | 0.314036i | \(0.898319\pi\) | |||||||
\(570\) | 0.324099 | + | 0.167085i | 0.0135750 | + | 0.00699841i | ||||
\(571\) | −2.46933 | + | 7.13467i | −0.103338 | + | 0.298577i | −0.984803 | − | 0.173673i | \(-0.944437\pi\) |
0.881465 | + | 0.472249i | \(0.156558\pi\) | |||||||
\(572\) | −1.60866 | + | 1.53385i | −0.0672613 | + | 0.0641335i | ||||
\(573\) | 7.30434 | − | 15.9943i | 0.305143 | − | 0.668170i | ||||
\(574\) | 1.87509 | + | 6.82337i | 0.0782648 | + | 0.284802i | ||||
\(575\) | −7.94850 | − | 22.4490i | −0.331475 | − | 0.936187i | ||||
\(576\) | −1.80913 | + | 3.13350i | −0.0753803 | + | 0.130562i | ||||
\(577\) | 9.08921 | − | 0.867914i | 0.378389 | − | 0.0361317i | 0.0958708 | − | 0.995394i | \(-0.469436\pi\) |
0.282518 | + | 0.959262i | \(0.408830\pi\) | |||||||
\(578\) | −3.19461 | − | 13.1684i | −0.132878 | − | 0.547732i | ||||
\(579\) | −20.3432 | + | 3.92084i | −0.845436 | + | 0.162945i | ||||
\(580\) | −0.959487 | + | 0.616625i | −0.0398405 | + | 0.0256039i | ||||
\(581\) | −0.829470 | − | 10.6422i | −0.0344122 | − | 0.441511i | ||||
\(582\) | −0.660144 | + | 4.59140i | −0.0273638 | + | 0.190320i | ||||
\(583\) | −0.716846 | + | 2.95488i | −0.0296887 | + | 0.122379i | ||||
\(584\) | −0.826306 | + | 17.3463i | −0.0341928 | + | 0.717795i | ||||
\(585\) | 0.0737558 | − | 0.0580022i | 0.00304943 | − | 0.00239809i | ||||
\(586\) | 20.4948 | + | 1.95702i | 0.846633 | + | 0.0808437i | ||||
\(587\) | 0.112946 | + | 0.247317i | 0.00466178 | + | 0.0102079i | 0.911949 | − | 0.410305i | \(-0.134578\pi\) |
−0.907287 | + | 0.420512i | \(0.861850\pi\) | |||||||
\(588\) | 3.40633 | − | 8.83389i | 0.140475 | − | 0.364303i | ||||
\(589\) | −14.2204 | − | 9.13892i | −0.585943 | − | 0.376563i | ||||
\(590\) | −0.205224 | + | 0.845944i | −0.00844893 | + | 0.0348270i | ||||
\(591\) | 15.2745 | − | 6.11498i | 0.628308 | − | 0.251537i | ||||
\(592\) | 4.20366 | + | 0.810188i | 0.172769 | + | 0.0332985i | ||||
\(593\) | −1.36941 | − | 28.7474i | −0.0562348 | − | 1.18051i | −0.833929 | − | 0.551871i | \(-0.813914\pi\) |
0.777694 | − | 0.628642i | \(-0.216389\pi\) | |||||||
\(594\) | 1.70950 | + | 1.97287i | 0.0701418 | + | 0.0809479i | ||||
\(595\) | −0.171339 | + | 0.0949833i | −0.00702421 | + | 0.00389393i | ||||
\(596\) | −1.68564 | + | 3.69103i | −0.0690464 | + | 0.151191i | ||||
\(597\) | 11.5949 | − | 20.0830i | 0.474549 | − | 0.821943i | ||||
\(598\) | −1.65184 | − | 1.04509i | −0.0675489 | − | 0.0427368i | ||||
\(599\) | 21.3710 | + | 37.0157i | 0.873196 | + | 1.51242i | 0.858672 | + | 0.512525i | \(0.171290\pi\) |
0.0145239 | + | 0.999895i | \(0.495377\pi\) | |||||||
\(600\) | −7.77012 | − | 10.9116i | −0.317214 | − | 0.445464i | ||||
\(601\) | 25.3438 | + | 7.44161i | 1.03380 | + | 0.303550i | 0.754253 | − | 0.656584i | \(-0.227999\pi\) |
0.279542 | + | 0.960133i | \(0.409817\pi\) | |||||||
\(602\) | 4.07716 | − | 6.10765i | 0.166173 | − | 0.248929i | ||||
\(603\) | −3.82666 | + | 2.45924i | −0.155834 | + | 0.100148i | ||||
\(604\) | −7.41309 | − | 21.4187i | −0.301634 | − | 0.871515i | ||||
\(605\) | 0.0816213 | − | 0.0326762i | 0.00331838 | − | 0.00132848i | ||||
\(606\) | −3.23053 | − | 3.08031i | −0.131231 | − | 0.125129i | ||||
\(607\) | 15.8820 | − | 8.18776i | 0.644632 | − | 0.332331i | −0.104721 | − | 0.994502i | \(-0.533395\pi\) |
0.749353 | + | 0.662171i | \(0.230365\pi\) | |||||||
\(608\) | 2.02810 | + | 14.1057i | 0.0822502 | + | 0.572063i | ||||
\(609\) | −2.07306 | − | 11.8643i | −0.0840048 | − | 0.480767i | ||||
\(610\) | 0.650146 | + | 1.42362i | 0.0263237 | + | 0.0576408i | ||||
\(611\) | −0.494087 | − | 0.197803i | −0.0199886 | − | 0.00800224i | ||||
\(612\) | 0.0257253 | − | 0.540040i | 0.00103988 | − | 0.0218298i | ||||
\(613\) | 10.7861 | + | 10.2846i | 0.435648 | + | 0.415389i | 0.875906 | − | 0.482482i | \(-0.160265\pi\) |
−0.440258 | + | 0.897871i | \(0.645113\pi\) | |||||||
\(614\) | −6.49571 | − | 5.10828i | −0.262146 | − | 0.206154i | ||||
\(615\) | −0.403217 | + | 0.465337i | −0.0162593 | + | 0.0187642i | ||||
\(616\) | 22.0101 | − | 7.19107i | 0.886812 | − | 0.289737i | ||||
\(617\) | −6.85092 | − | 7.90638i | −0.275808 | − | 0.318299i | 0.600899 | − | 0.799325i | \(-0.294810\pi\) |
−0.876706 | + | 0.481026i | \(0.840264\pi\) | |||||||
\(618\) | −0.492186 | + | 0.469299i | −0.0197986 | + | 0.0188780i | ||||
\(619\) | 22.6002 | − | 2.15806i | 0.908381 | − | 0.0867398i | 0.369605 | − | 0.929189i | \(-0.379493\pi\) |
0.538776 | + | 0.842449i | \(0.318887\pi\) | |||||||
\(620\) | −0.865610 | − | 1.49928i | −0.0347637 | − | 0.0602125i | ||||
\(621\) | 2.75406 | − | 3.92621i | 0.110517 | − | 0.157553i | ||||
\(622\) | 11.7541 | 0.471297 | ||||||||
\(623\) | −32.7308 | − | 5.28929i | −1.31133 | − | 0.211911i | ||||
\(624\) | 0.259780 | + | 0.0762782i | 0.0103995 | + | 0.00305357i | ||||
\(625\) | 24.0440 | − | 4.63410i | 0.961759 | − | 0.185364i | ||||
\(626\) | 19.7160 | + | 10.1643i | 0.788010 | + | 0.406247i | ||||
\(627\) | 7.79328 | + | 1.50203i | 0.311233 | + | 0.0599853i | ||||
\(628\) | 21.3355 | + | 16.7784i | 0.851380 | + | 0.669533i | ||||
\(629\) | 3.07185 | − | 0.901977i | 0.122483 | − | 0.0359642i | ||||
\(630\) | −0.384797 | + | 0.0862842i | −0.0153307 | + | 0.00343764i | ||||
\(631\) | −6.49244 | − | 45.1559i | −0.258460 | − | 1.79763i | −0.543815 | − | 0.839205i | \(-0.683021\pi\) |
0.285355 | − | 0.958422i | \(-0.407889\pi\) | |||||||
\(632\) | 24.0018 | + | 2.29190i | 0.954742 | + | 0.0911668i | ||||
\(633\) | −12.0623 | + | 16.9392i | −0.479434 | + | 0.673271i | ||||
\(634\) | 6.32858 | − | 4.97685i | 0.251340 | − | 0.197656i | ||||
\(635\) | 1.17456 | − | 0.605529i | 0.0466111 | − | 0.0240297i | ||||
\(636\) | 1.21628 | − | 0.357133i | 0.0482288 | − | 0.0141613i | ||||
\(637\) | 3.51582 | + | 0.459757i | 0.139302 | + | 0.0182162i | ||||
\(638\) | 7.78206 | − | 8.98097i | 0.308095 | − | 0.355560i | ||||
\(639\) | −0.680576 | − | 14.2870i | −0.0269232 | − | 0.565187i | ||||
\(640\) | −0.529471 | + | 1.52980i | −0.0209292 | + | 0.0604708i | ||||
\(641\) | −5.64924 | − | 23.2865i | −0.223131 | − | 0.919760i | −0.967678 | − | 0.252190i | \(-0.918849\pi\) |
0.744546 | − | 0.667571i | \(-0.232666\pi\) | |||||||
\(642\) | 0.865717 | + | 1.21573i | 0.0341671 | + | 0.0479810i | ||||
\(643\) | 45.6626 | 1.80076 | 0.900379 | − | 0.435107i | \(-0.143290\pi\) | ||||
0.900379 | + | 0.435107i | \(0.143290\pi\) | |||||||
\(644\) | −9.12900 | − | 14.5325i | −0.359733 | − | 0.572662i | ||||
\(645\) | 0.638974 | 0.0251596 | ||||||||
\(646\) | 0.456413 | + | 0.640942i | 0.0179573 | + | 0.0252175i | ||||
\(647\) | 0.0408006 | + | 0.168182i | 0.00160404 | + | 0.00661192i | 0.972608 | − | 0.232452i | \(-0.0746747\pi\) |
−0.971004 | + | 0.239064i | \(0.923160\pi\) | |||||||
\(648\) | 0.882299 | − | 2.54924i | 0.0346600 | − | 0.100143i | ||||
\(649\) | 0.901540 | + | 18.9257i | 0.0353885 | + | 0.742897i | ||||
\(650\) | 1.32538 | − | 1.52957i | 0.0519858 | − | 0.0599948i | ||||
\(651\) | 18.1381 | − | 2.28623i | 0.710887 | − | 0.0896043i | ||||
\(652\) | 0.512566 | − | 0.150503i | 0.0200736 | − | 0.00589415i | ||||
\(653\) | −17.4280 | + | 8.98474i | −0.682009 | + | 0.351600i | −0.764166 | − | 0.645019i | \(-0.776849\pi\) |
0.0821571 | + | 0.996619i | \(0.473819\pi\) | |||||||
\(654\) | −2.01508 | + | 1.58468i | −0.0787961 | + | 0.0619659i | ||||
\(655\) | 1.00210 | − | 1.40726i | 0.0391554 | − | 0.0549860i | ||||
\(656\) | −1.76863 | − | 0.168884i | −0.0690535 | − | 0.00659381i | ||||
\(657\) | −0.916160 | − | 6.37203i | −0.0357428 | − | 0.248597i | ||||
\(658\) | 1.51513 | + | 1.64547i | 0.0590660 | + | 0.0641471i | ||||
\(659\) | −37.8426 | + | 11.1116i | −1.47414 | + | 0.432846i | −0.917442 | − | 0.397869i | \(-0.869750\pi\) |
−0.556697 | + | 0.830715i | \(0.687932\pi\) | |||||||
\(660\) | 0.638937 | + | 0.502466i | 0.0248706 | + | 0.0195584i | ||||
\(661\) | 39.5811 | + | 7.62864i | 1.53953 | + | 0.296720i | 0.887260 | − | 0.461269i | \(-0.152606\pi\) |
0.652268 | + | 0.757989i | \(0.273818\pi\) | |||||||
\(662\) | 16.0108 | + | 8.25412i | 0.622276 | + | 0.320805i | ||||
\(663\) | 0.198818 | − | 0.0383190i | 0.00772144 | − | 0.00148818i | ||||
\(664\) | −10.4428 | − | 3.06627i | −0.405258 | − | 0.118994i | ||||
\(665\) | −0.757445 | + | 0.929394i | −0.0293725 | + | 0.0360404i | ||||
\(666\) | 6.44461 | 0.249724 | ||||||||
\(667\) | −19.4753 | − | 9.86593i | −0.754088 | − | 0.382010i | ||||
\(668\) | −15.8629 | − | 27.4753i | −0.613752 | − | 1.06305i | ||||
\(669\) | −14.4237 | + | 1.37730i | −0.557653 | + | 0.0532494i | ||||
\(670\) | 0.490690 | − | 0.467872i | 0.0189570 | − | 0.0180755i | ||||
\(671\) | 22.3080 | + | 25.7449i | 0.861193 | + | 0.993869i | ||||
\(672\) | −11.4703 | − | 10.2942i | −0.442476 | − | 0.397107i | ||||
\(673\) | 9.41329 | − | 10.8635i | 0.362856 | − | 0.418758i | −0.544739 | − | 0.838606i | \(-0.683371\pi\) |
0.907594 | + | 0.419848i | \(0.137917\pi\) | |||||||
\(674\) | −8.78478 | − | 6.90843i | −0.338377 | − | 0.266103i | ||||
\(675\) | 3.59384 | + | 3.42672i | 0.138327 | + | 0.131894i | ||||
\(676\) | 0.820129 | − | 17.2166i | 0.0315434 | − | 0.662178i | ||||
\(677\) | −11.8445 | − | 4.74181i | −0.455219 | − | 0.182242i | 0.132709 | − | 0.991155i | \(-0.457632\pi\) |
−0.587929 | + | 0.808913i | \(0.700057\pi\) | |||||||
\(678\) | −0.772183 | − | 1.69084i | −0.0296555 | − | 0.0649365i | ||||
\(679\) | −14.3244 | − | 5.23878i | −0.549719 | − | 0.201046i | ||||
\(680\) | 0.0284266 | + | 0.197711i | 0.00109011 | + | 0.00758188i | ||||
\(681\) | −0.166808 | + | 0.0859953i | −0.00639208 | + | 0.00329535i | ||||
\(682\) | 13.0546 | + | 12.4476i | 0.499888 | + | 0.476642i | ||||
\(683\) | −17.6848 | + | 7.07993i | −0.676690 | + | 0.270906i | −0.684446 | − | 0.729064i | \(-0.739956\pi\) |
0.00775525 | + | 0.999970i | \(0.497531\pi\) | |||||||
\(684\) | −1.08222 | − | 3.12686i | −0.0413795 | − | 0.119558i | ||||
\(685\) | −1.15172 | + | 0.740163i | −0.0440048 | + | 0.0282802i | ||||
\(686\) | −12.4989 | − | 8.11486i | −0.477211 | − | 0.309827i | ||||
\(687\) | −4.21216 | − | 1.23680i | −0.160704 | − | 0.0471869i | ||||
\(688\) | 1.06948 | + | 1.50188i | 0.0407736 | + | 0.0572585i | ||||
\(689\) | 0.237367 | + | 0.411131i | 0.00904295 | + | 0.0156629i | ||||
\(690\) | −0.292327 | + | 0.652318i | −0.0111287 | + | 0.0248333i | ||||
\(691\) | −1.06829 | + | 1.85033i | −0.0406397 | + | 0.0703900i | −0.885630 | − | 0.464392i | \(-0.846273\pi\) |
0.844990 | + | 0.534782i | \(0.179606\pi\) | |||||||
\(692\) | −12.1513 | + | 26.6076i | −0.461922 | + | 1.01147i | ||||
\(693\) | −7.50720 | + | 4.16168i | −0.285175 | + | 0.158089i | ||||
\(694\) | −15.0652 | − | 17.3862i | −0.571867 | − | 0.659970i | ||||
\(695\) | 0.0240011 | + | 0.503845i | 0.000910414 | + | 0.0191119i | ||||
\(696\) | −12.0582 | − | 2.32403i | −0.457065 | − | 0.0880920i | ||||
\(697\) | −1.23350 | + | 0.493820i | −0.0467223 | + | 0.0187048i | ||||
\(698\) | 5.05277 | − | 20.8278i | 0.191250 | − | 0.788345i | ||||
\(699\) | 11.4641 | + | 7.36751i | 0.433611 | + | 0.278665i | ||||
\(700\) | 16.2901 | − | 7.09924i | 0.615707 | − | 0.268326i | ||||
\(701\) | −17.3828 | − | 38.0629i | −0.656538 | − | 1.43762i | −0.885714 | − | 0.464232i | \(-0.846330\pi\) |
0.229176 | − | 0.973385i | \(-0.426397\pi\) | |||||||
\(702\) | 0.405735 | + | 0.0387430i | 0.0153135 | + | 0.00146226i | ||||
\(703\) | 15.4017 | − | 12.1120i | 0.580885 | − | 0.456813i | ||||
\(704\) | 0.558547 | − | 11.7253i | 0.0210510 | − | 0.441915i | ||||
\(705\) | −0.0458853 | + | 0.189142i | −0.00172814 | + | 0.00712350i | ||||
\(706\) | 1.13354 | − | 7.88397i | 0.0426615 | − | 0.296717i | ||||
\(707\) | 12.1021 | − | 8.30410i | 0.455147 | − | 0.312308i | ||||
\(708\) | 6.64516 | − | 4.27059i | 0.249740 | − | 0.160498i | ||||
\(709\) | 33.4823 | − | 6.45318i | 1.25745 | − | 0.242354i | 0.483357 | − | 0.875423i | \(-0.339417\pi\) |
0.774095 | + | 0.633069i | \(0.218205\pi\) | |||||||
\(710\) | 0.502618 | + | 2.07182i | 0.0188629 | + | 0.0777540i | ||||
\(711\) | −8.89748 | + | 0.849606i | −0.333681 | + | 0.0318627i | ||||
\(712\) | −16.9026 | + | 29.2761i | −0.633451 | + | 1.09717i | ||||
\(713\) | 16.3650 | − | 28.8154i | 0.612875 | − | 1.07914i | ||||
\(714\) | −0.823365 | − | 0.214995i | −0.0308137 | − | 0.00804599i | ||||
\(715\) | −0.126458 | + | 0.276904i | −0.00472925 | + | 0.0103556i | ||||
\(716\) | −1.00639 | + | 0.959591i | −0.0376105 | + | 0.0358616i | ||||
\(717\) | 6.61920 | − | 19.1249i | 0.247199 | − | 0.714233i | ||||
\(718\) | 12.8950 | + | 6.64783i | 0.481237 | + | 0.248095i | ||||
\(719\) | −9.59002 | − | 27.7085i | −0.357647 | − | 1.03335i | −0.970070 | − | 0.242824i | \(-0.921926\pi\) |
0.612423 | − | 0.790530i | \(-0.290195\pi\) | |||||||
\(720\) | 0.0140908 | − | 0.0980037i | 0.000525133 | − | 0.00365238i | ||||
\(721\) | −1.17600 | − | 1.90192i | −0.0437966 | − | 0.0708313i | ||||
\(722\) | −8.81015 | − | 5.66194i | −0.327880 | − | 0.210715i | ||||
\(723\) | 10.5934 | + | 4.24097i | 0.393974 | + | 0.157723i | ||||
\(724\) | −17.6509 | + | 24.7873i | −0.655992 | + | 0.921212i | ||||
\(725\) | 13.1122 | − | 18.4135i | 0.486974 | − | 0.683859i | ||||
\(726\) | 0.354546 | + | 0.141939i | 0.0131584 | + | 0.00526784i | ||||
\(727\) | −29.4906 | − | 18.9525i | −1.09375 | − | 0.702908i | −0.136053 | − | 0.990702i | \(-0.543442\pi\) |
−0.957692 | + | 0.287794i | \(0.907078\pi\) | |||||||
\(728\) | 1.71231 | − | 3.18402i | 0.0634624 | − | 0.118008i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | 0.313830 | + | 0.906752i | 0.0116154 | + | 0.0335604i | ||||
\(731\) | 1.22556 | + | 0.631821i | 0.0453291 | + | 0.0233688i | ||||
\(732\) | 4.64500 | − | 13.4209i | 0.171684 | − | 0.496049i | ||||
\(733\) | 13.0144 | − | 12.4092i | 0.480697 | − | 0.458344i | −0.410566 | − | 0.911831i | \(-0.634669\pi\) |
0.891263 | + | 0.453487i | \(0.149820\pi\) | |||||||
\(734\) | 4.19223 | − | 9.17970i | 0.154738 | − | 0.338829i | ||||
\(735\) | −0.0165577 | − | 1.29657i | −0.000610740 | − | 0.0478247i | ||||
\(736\) | −27.3940 | + | 5.48167i | −1.00976 | + | 0.202057i | ||||
\(737\) | 7.37873 | − | 12.7803i | 0.271799 | − | 0.470770i | ||||
\(738\) | −2.66249 | + | 0.254237i | −0.0980075 | + | 0.00935858i | ||||
\(739\) | 1.95753 | + | 8.06906i | 0.0720090 | + | 0.296825i | 0.996417 | − | 0.0845809i | \(-0.0269551\pi\) |
−0.924408 | + | 0.381406i | \(0.875440\pi\) | |||||||
\(740\) | 1.97043 | − | 0.379770i | 0.0724346 | − | 0.0139606i | ||||
\(741\) | 1.04246 | − | 0.669948i | 0.0382957 | − | 0.0246112i | ||||
\(742\) | −0.155041 | − | 1.98918i | −0.00569173 | − | 0.0730252i | ||||
\(743\) | −4.52253 | + | 31.4549i | −0.165915 | + | 1.15397i | 0.721304 | + | 0.692619i | \(0.243543\pi\) |
−0.887219 | + | 0.461349i | \(0.847366\pi\) | |||||||
\(744\) | 4.39451 | − | 18.1144i | 0.161111 | − | 0.664107i | ||||
\(745\) | −0.0264425 | + | 0.555097i | −0.000968778 | + | 0.0203372i | ||||
\(746\) | −19.7551 | + | 15.5356i | −0.723285 | + | 0.568798i | ||||
\(747\) | 4.01629 | + | 0.383509i | 0.146948 | + | 0.0140319i | ||||
\(748\) | 0.728650 | + | 1.59552i | 0.0266421 | + | 0.0583381i | ||||
\(749\) | −4.49876 | + | 1.96057i | −0.164381 | + | 0.0716375i | ||||
\(750\) | −1.24960 | − | 0.803066i | −0.0456288 | − | 0.0293238i | ||||
\(751\) | −0.321703 | + | 1.32608i | −0.0117391 | + | 0.0483893i | −0.977380 | − | 0.211491i | \(-0.932168\pi\) |
0.965641 | + | 0.259881i | \(0.0836832\pi\) | |||||||
\(752\) | −0.521369 | + | 0.208725i | −0.0190124 | + | 0.00761141i | ||||
\(753\) | −15.9413 | − | 3.07243i | −0.580932 | − | 0.111965i | ||||
\(754\) | −0.0882835 | − | 1.85330i | −0.00321510 | − | 0.0674932i | ||||
\(755\) | −2.03277 | − | 2.34595i | −0.0739802 | − | 0.0853777i | ||||
\(756\) | 3.06746 | + | 1.84296i | 0.111562 | + | 0.0670277i | ||||
\(757\) | 16.0472 | − | 35.1385i | 0.583245 | − | 1.27713i | −0.356194 | − | 0.934412i | \(-0.615926\pi\) |
0.939439 | − | 0.342717i | \(-0.111347\pi\) | |||||||
\(758\) | 8.34236 | − | 14.4494i | 0.303008 | − | 0.524825i | ||||
\(759\) | −2.10494 | + | 15.4160i | −0.0764044 | + | 0.559565i | ||||
\(760\) | 0.611226 | + | 1.05868i | 0.0221715 | + | 0.0384022i | ||||
\(761\) | 7.66548 | + | 10.7647i | 0.277873 | + | 0.390219i | 0.929801 | − | 0.368063i | \(-0.119979\pi\) |
−0.651928 | + | 0.758281i | \(0.726039\pi\) | |||||||
\(762\) | 5.50764 | + | 1.61719i | 0.199521 | + | 0.0585845i | ||||
\(763\) | −3.73144 | − | 7.55833i | −0.135087 | − | 0.273630i | ||||
\(764\) | 20.0069 | − | 12.8577i | 0.723825 | − | 0.465174i | ||||
\(765\) | −0.0242178 | − | 0.0699728i | −0.000875597 | − | 0.00252987i | ||||
\(766\) | 0.904876 | − | 0.362258i | 0.0326945 | − | 0.0130889i | ||||
\(767\) | 2.14099 | + | 2.04143i | 0.0773066 | + | 0.0737117i | ||||
\(768\) | −12.6823 | + | 6.53816i | −0.457632 | + | 0.235926i | ||||
\(769\) | 2.81444 | + | 19.5748i | 0.101491 | + | 0.705887i | 0.975504 | + | 0.219983i | \(0.0706003\pi\) |
−0.874012 | + | 0.485904i | \(0.838491\pi\) | |||||||
\(770\) | 0.981342 | − | 0.820857i | 0.0353651 | − | 0.0295817i | ||||
\(771\) | 12.8117 | + | 28.0538i | 0.461404 | + | 1.01033i | ||||
\(772\) | −26.0145 | − | 10.4146i | −0.936281 | − | 0.374830i | ||||
\(773\) | 2.14683 | − | 45.0675i | 0.0772162 | − | 1.62097i | −0.545218 | − | 0.838294i | \(-0.683553\pi\) |
0.622434 | − | 0.782672i | \(-0.286144\pi\) | |||||||
\(774\) | 2.00878 | + | 1.91536i | 0.0722039 | + | 0.0688463i | ||||
\(775\) | 26.9709 | + | 21.2102i | 0.968824 | + | 0.761892i | ||||
\(776\) | −10.1839 | + | 11.7528i | −0.365580 | + | 0.421901i | ||||
\(777\) | −4.37209 | + | 20.7347i | −0.156848 | + | 0.743853i | ||||
\(778\) | −11.2874 | − | 13.0264i | −0.404674 | − | 0.467019i | ||||
\(779\) | −5.88514 | + | 5.61147i | −0.210857 | + | 0.201052i | ||||
\(780\) | 0.126336 | − | 0.0120636i | 0.00452356 | − | 0.000431947i | ||||
\(781\) | 23.2019 | + | 40.1869i | 0.830229 | + | 1.43800i | ||||
\(782\) | −1.20570 | + | 0.962101i | −0.0431159 | + | 0.0344047i | ||||
\(783\) | 4.55224 | 0.162684 | ||||||||
\(784\) | 3.01981 | − | 2.20905i | 0.107850 | − | 0.0788946i | ||||
\(785\) | 3.56674 | + | 1.04729i | 0.127303 | + | 0.0373794i | ||||
\(786\) | 7.36869 | − | 1.42020i | 0.262833 | − | 0.0506568i | ||||
\(787\) | 11.3891 | + | 5.87149i | 0.405978 | + | 0.209296i | 0.649106 | − | 0.760698i | \(-0.275143\pi\) |
−0.243128 | + | 0.969994i | \(0.578174\pi\) | |||||||
\(788\) | 21.8515 | + | 4.21153i | 0.778426 | + | 0.150029i | ||||
\(789\) | 4.98879 | + | 3.92323i | 0.177606 | + | 0.139671i | ||||
\(790\) | 1.27825 | − | 0.375327i | 0.0454780 | − | 0.0133535i | ||||
\(791\) | 5.96392 | − | 1.33731i | 0.212053 | − | 0.0475492i | ||||
\(792\) | 1.24551 | + | 8.66270i | 0.0442572 | + | 0.307816i | ||||
\(793\) | 5.29461 | + | 0.505574i | 0.188017 | + | 0.0179534i | ||||
\(794\) | 12.7393 | − | 17.8899i | 0.452102 | − | 0.634889i | ||||
\(795\) | 0.136466 | − | 0.107318i | 0.00483994 | − | 0.00380617i | ||||
\(796\) | 27.8788 | − | 14.3725i | 0.988138 | − | 0.509421i | ||||
\(797\) | −19.6726 | + | 5.77639i | −0.696839 | + | 0.204610i | −0.610921 | − | 0.791692i | \(-0.709201\pi\) |
−0.0859183 | + | 0.996302i | \(0.527382\pi\) | |||||||
\(798\) | −5.16713 | + | 0.651295i | −0.182915 | + | 0.0230556i | ||||
\(799\) | −0.275034 | + | 0.317406i | −0.00972999 | + | 0.0112290i | ||||
\(800\) | −1.37638 | − | 28.8938i | −0.0486624 | − | 1.02155i | ||||
\(801\) | 4.09867 | − | 11.8423i | 0.144820 | − | 0.418429i | ||||
\(802\) | 7.58832 | + | 31.2795i | 0.267953 | + | 1.10452i | ||||
\(803\) | 12.1146 | + | 17.0126i | 0.427516 | + | 0.600363i | ||||
\(804\) | −6.15244 | −0.216980 | ||||||||
\(805\) | −1.90043 | − | 1.38306i | −0.0669813 | − | 0.0487465i | ||||
\(806\) | 2.81629 | 0.0991997 | ||||||||
\(807\) | −14.8449 | − | 20.8468i | −0.522567 | − | 0.733843i | ||||
\(808\) | −3.52808 | − | 14.5430i | −0.124118 | − | 0.511620i | ||||
\(809\) | −16.2188 | + | 46.8612i | −0.570224 | + | 1.64755i | 0.177941 | + | 0.984041i | \(0.443056\pi\) |
−0.748165 | + | 0.663512i | \(0.769065\pi\) | |||||||
\(810\) | −0.00709214 | − | 0.148882i | −0.000249192 | − | 0.00523119i | ||||
\(811\) | 13.8949 | − | 16.0356i | 0.487918 | − | 0.563087i | −0.457390 | − | 0.889266i | \(-0.651216\pi\) |
0.945308 | + | 0.326179i | \(0.105761\pi\) | |||||||
\(812\) | 6.31692 | − | 15.0156i | 0.221680 | − | 0.526945i | ||||
\(813\) | −5.07621 | + | 1.49051i | −0.178030 | + | 0.0522744i | ||||
\(814\) | −18.5839 | + | 9.58067i | −0.651365 | + | 0.335802i | ||||
\(815\) | 0.0575094 | − | 0.0452259i | 0.00201447 | − | 0.00158419i | ||||
\(816\) | 0.123933 | − | 0.174040i | 0.00433852 | − | 0.00609260i | ||||
\(817\) | 8.40041 | + | 0.802142i | 0.293893 | + | 0.0280634i | ||||
\(818\) | −4.20428 | − | 29.2414i | −0.146999 | − | 1.02240i | ||||
\(819\) | −0.399905 | + | 1.27911i | −0.0139738 | + | 0.0446959i | ||||
\(820\) | −0.799071 | + | 0.234629i | −0.0279048 | + | 0.00819358i | ||||
\(821\) | 22.3423 | + | 17.5702i | 0.779751 | + | 0.613203i | 0.926640 | − | 0.375950i | \(-0.122683\pi\) |
−0.146889 | + | 0.989153i | \(0.546926\pi\) | |||||||
\(822\) | −5.83939 | − | 1.12545i | −0.203672 | − | 0.0392546i | ||||
\(823\) | 29.5317 | + | 15.2247i | 1.02941 | + | 0.530698i | 0.888284 | − | 0.459294i | \(-0.151897\pi\) |
0.141126 | + | 0.989992i | \(0.454928\pi\) | |||||||
\(824\) | −2.23875 | + | 0.431484i | −0.0779907 | + | 0.0150315i | ||||
\(825\) | −15.4575 | − | 4.53874i | −0.538162 | − | 0.158019i | ||||
\(826\) | −4.41917 | − | 11.6211i | −0.153763 | − | 0.404350i | ||||
\(827\) | −8.38480 | −0.291568 | −0.145784 | − | 0.989316i | \(-0.546570\pi\) | ||||
−0.145784 | + | 0.989316i | \(0.546570\pi\) | |||||||
\(828\) | 6.00471 | − | 2.45351i | 0.208678 | − | 0.0852652i | ||||
\(829\) | 13.5480 | + | 23.4658i | 0.470541 | + | 0.815001i | 0.999432 | − | 0.0336887i | \(-0.0107255\pi\) |
−0.528891 | + | 0.848690i | \(0.677392\pi\) | |||||||
\(830\) | −0.598632 | + | 0.0571624i | −0.0207788 | + | 0.00198414i | ||||
\(831\) | 9.68501 | − | 9.23464i | 0.335969 | − | 0.320346i | ||||
\(832\) | −1.20021 | − | 1.38512i | −0.0416099 | − | 0.0480204i | ||||
\(833\) | 1.25030 | − | 2.50321i | 0.0433202 | − | 0.0867312i | ||||
\(834\) | −1.43485 | + | 1.65591i | −0.0496849 | + | 0.0573394i | ||||
\(835\) | −3.41540 | − | 2.68590i | −0.118195 | − | 0.0929495i | ||||
\(836\) | 7.76915 | + | 7.40787i | 0.268702 | + | 0.256206i | ||||
\(837\) | −0.328781 | + | 6.90196i | −0.0113643 | + | 0.238567i | ||||
\(838\) | 10.6280 | + | 4.25479i | 0.367137 | + | 0.146979i | ||||
\(839\) | 16.1133 | + | 35.2832i | 0.556293 | + | 1.21811i | 0.953781 | + | 0.300504i | \(0.0971549\pi\) |
−0.397488 | + | 0.917608i | \(0.630118\pi\) | |||||||
\(840\) | −1.24165 | − | 0.454103i | −0.0428411 | − | 0.0156681i | ||||
\(841\) | 1.17796 | + | 8.19291i | 0.0406194 | + | 0.282514i | ||||
\(842\) | 6.70551 | − | 3.45693i | 0.231087 | − | 0.119134i | ||||
\(843\) | 6.11095 | + | 5.82678i | 0.210472 | + | 0.200685i | ||||
\(844\) | −26.1117 | + | 10.4535i | −0.898801 | + | 0.359826i | ||||
\(845\) | −0.772071 | − | 2.23075i | −0.0265600 | − | 0.0767402i | ||||
\(846\) | −0.711216 | + | 0.457071i | −0.0244521 | + | 0.0157144i | ||||
\(847\) | −0.697197 | + | 1.04441i | −0.0239560 | + | 0.0358864i | ||||
\(848\) | 0.480655 | + | 0.141133i | 0.0165058 | + | 0.00484653i | ||||
\(849\) | 1.63846 | + | 2.30090i | 0.0562319 | + | 0.0789667i | ||||
\(850\) | −0.798574 | − | 1.38317i | −0.0273909 | − | 0.0474424i | ||||
\(851\) | 25.3594 | + | 28.8501i | 0.869309 | + | 0.988967i | ||||
\(852\) | 9.67295 | − | 16.7540i | 0.331390 | − | 0.573984i | ||||
\(853\) | 8.06408 | − | 17.6579i | 0.276109 | − | 0.604594i | −0.719877 | − | 0.694101i | \(-0.755802\pi\) |
0.995986 | + | 0.0895074i | \(0.0285293\pi\) | |||||||
\(854\) | −19.1611 | − | 11.5122i | −0.655679 | − | 0.393938i | ||||
\(855\) | −0.296759 | − | 0.342478i | −0.0101489 | − | 0.0117125i | ||||
\(856\) | 0.238080 | + | 4.99791i | 0.00813741 | + | 0.170825i | ||||
\(857\) | −7.17402 | − | 1.38268i | −0.245060 | − | 0.0472314i | 0.0652420 | − | 0.997869i | \(-0.479218\pi\) |
−0.310302 | + | 0.950638i | \(0.600430\pi\) | |||||||
\(858\) | −1.22759 | + | 0.491451i | −0.0419091 | + | 0.0167779i | ||||
\(859\) | −2.77724 | + | 11.4479i | −0.0947582 | + | 0.390599i | −0.999364 | − | 0.0356498i | \(-0.988650\pi\) |
0.904606 | + | 0.426248i | \(0.140165\pi\) | |||||||
\(860\) | 0.727050 | + | 0.467247i | 0.0247922 | + | 0.0159330i | ||||
\(861\) | 0.988286 | − | 8.73868i | 0.0336807 | − | 0.297813i | ||||
\(862\) | −5.18750 | − | 11.3591i | −0.176687 | − | 0.386891i | ||||
\(863\) | −47.4432 | − | 4.53027i | −1.61498 | − | 0.154212i | −0.751901 | − | 0.659275i | \(-0.770863\pi\) |
−0.863082 | + | 0.505063i | \(0.831469\pi\) | |||||||
\(864\) | 4.57899 | − | 3.60095i | 0.155780 | − | 0.122507i | ||||
\(865\) | −0.190616 | + | 4.00153i | −0.00648115 | + | 0.136056i | ||||
\(866\) | −6.07004 | + | 25.0210i | −0.206268 | + | 0.850250i | ||||
\(867\) | −2.39661 | + | 16.6688i | −0.0813932 | + | 0.566102i | ||||
\(868\) | 22.3100 | + | 10.6620i | 0.757251 | + | 0.361892i | ||||
\(869\) | 24.3940 | − | 15.6771i | 0.827511 | − | 0.531809i | ||||
\(870\) | −0.666254 | + | 0.128410i | −0.0225881 | + | 0.00435350i | ||||
\(871\) | −0.543215 | − | 2.23916i | −0.0184061 | − | 0.0758712i | ||||
\(872\) | −8.55551 | + | 0.816953i | −0.289726 | + | 0.0276655i | ||||
\(873\) | 2.88241 | − | 4.99248i | 0.0975549 | − | 0.168970i | ||||
\(874\) | −4.66203 | + | 8.20886i | −0.157696 | + | 0.277669i | ||||
\(875\) | 3.43150 | − | 3.47560i | 0.116006 | − | 0.117497i | ||||
\(876\) | 3.61708 | − | 7.92029i | 0.122210 | − | 0.267602i | ||||
\(877\) | 2.33317 | − | 2.22467i | 0.0787856 | − | 0.0751219i | −0.649663 | − | 0.760222i | \(-0.725090\pi\) |
0.728449 | + | 0.685100i | \(0.240242\pi\) | |||||||
\(878\) | −7.08464 | + | 20.4697i | −0.239095 | + | 0.690820i | ||||
\(879\) | −22.7423 | − | 11.7245i | −0.767079 | − | 0.395457i | ||||
\(880\) | 0.105061 | + | 0.303554i | 0.00354161 | + | 0.0102328i | ||||
\(881\) | −7.79639 | + | 54.2251i | −0.262667 | + | 1.82689i | 0.249935 | + | 0.968263i | \(0.419591\pi\) |
−0.512602 | + | 0.858626i | \(0.671318\pi\) | |||||||
\(882\) | 3.83449 | − | 4.12572i | 0.129114 | − | 0.138920i | ||||
\(883\) | 18.4746 | + | 11.8729i | 0.621720 | + | 0.399555i | 0.813236 | − | 0.581934i | \(-0.197704\pi\) |
−0.191515 | + | 0.981490i | \(0.561340\pi\) | |||||||
\(884\) | 0.254243 | + | 0.101784i | 0.00855112 | + | 0.00342335i | ||||
\(885\) | 0.627521 | − | 0.881229i | 0.0210939 | − | 0.0296222i | ||||
\(886\) | −0.178622 | + | 0.250840i | −0.00600093 | + | 0.00842713i | ||||
\(887\) | 38.4160 | + | 15.3794i | 1.28988 | + | 0.516391i | 0.912276 | − | 0.409575i | \(-0.134323\pi\) |
0.377606 | + | 0.925966i | \(0.376747\pi\) | |||||||
\(888\) | 18.1760 | + | 11.6810i | 0.609948 | + | 0.391990i | ||||
\(889\) | −8.93953 | + | 16.6230i | −0.299822 | + | 0.557517i | ||||
\(890\) | −0.265822 | + | 1.84883i | −0.00891037 | + | 0.0619730i | ||||
\(891\) | −1.06110 | − | 3.06585i | −0.0355482 | − | 0.102710i | ||||
\(892\) | −17.4190 | − | 8.98013i | −0.583232 | − | 0.300677i | ||||
\(893\) | −0.840683 | + | 2.42899i | −0.0281324 | + | 0.0812831i | ||||
\(894\) | −1.74706 | + | 1.66582i | −0.0584305 | + | 0.0557134i | ||||
\(895\) | −0.0791131 | + | 0.173233i | −0.00264446 | + | 0.00579055i | ||||
\(896\) | −6.12681 | − | 22.2952i | −0.204682 | − | 0.744830i | ||||
\(897\) | 1.42312 | + | 1.96877i | 0.0475166 | + | 0.0657354i | ||||
\(898\) | 5.26219 | − | 9.11438i | 0.175601 | − | 0.304151i | ||||
\(899\) | 31.3125 | − | 2.98999i | 1.04433 | − | 0.0997216i | ||||
\(900\) | 1.58344 | + | 6.52703i | 0.0527814 | + | 0.217568i | ||||
\(901\) | 0.367860 | − | 0.0708992i | 0.0122552 | − | 0.00236200i | ||||
\(902\) | 7.29969 | − | 4.69122i | 0.243053 | − | 0.156201i | ||||
\(903\) | −7.52520 | + | 5.16357i | −0.250423 | + | 0.171833i | ||||
\(904\) | 0.886878 | − | 6.16837i | 0.0294971 | − | 0.205157i | ||||
\(905\) | −0.982527 | + | 4.05003i | −0.0326603 | + | 0.134628i | ||||
\(906\) | 0.641580 | − | 13.4684i | 0.0213151 | − | 0.447459i | ||||
\(907\) | 19.4601 | − | 15.3036i | 0.646162 | − | 0.508148i | −0.240450 | − | 0.970662i | \(-0.577295\pi\) |
0.886612 | + | 0.462514i | \(0.153052\pi\) | |||||||
\(908\) | −0.252684 | − | 0.0241284i | −0.00838561 | − | 0.000800729i | ||||
\(909\) | 2.30449 | + | 5.04613i | 0.0764352 | + | 0.167370i | ||||
\(910\) | 0.0224477 | − | 0.198489i | 0.000744135 | − | 0.00657983i | ||||
\(911\) | −49.3223 | − | 31.6975i | −1.63412 | − | 1.05019i | −0.945784 | − | 0.324796i | \(-0.894704\pi\) |
−0.688338 | − | 0.725390i | \(-0.741659\pi\) | |||||||
\(912\) | 0.308278 | − | 1.27074i | 0.0102081 | − | 0.0420783i | ||||
\(913\) | −12.1516 | + | 4.86478i | −0.402160 | + | 0.161001i | ||||
\(914\) | −22.4014 | − | 4.31751i | −0.740972 | − | 0.142811i | ||||
\(915\) | −0.0925484 | − | 1.94283i | −0.00305955 | − | 0.0642280i | ||||
\(916\) | −3.88835 | − | 4.48740i | −0.128475 | − | 0.148268i | ||||
\(917\) | −0.429696 | + | 24.6713i | −0.0141898 | + | 0.814717i | ||||
\(918\) | 0.133613 | − | 0.292571i | 0.00440988 | − | 0.00965629i | ||||
\(919\) | 3.62740 | − | 6.28284i | 0.119657 | − | 0.207252i | −0.799975 | − | 0.600034i | \(-0.795154\pi\) |
0.919632 | + | 0.392782i | \(0.128487\pi\) | |||||||
\(920\) | −2.00681 | + | 1.30991i | −0.0661624 | + | 0.0431865i | ||||
\(921\) | 5.13503 | + | 8.89413i | 0.169205 | + | 0.293072i | ||||
\(922\) | −6.33873 | − | 8.90150i | −0.208755 | − | 0.293155i | ||||
\(923\) | 6.95164 | + | 2.04119i | 0.228816 | + | 0.0671865i | ||||
\(924\) | −11.5852 | − | 0.754275i | −0.381125 | − | 0.0248138i | ||||
\(925\) | −33.4581 | + | 21.5022i | −1.10009 | + | 0.706988i | ||||
\(926\) | −2.96287 | − | 8.56066i | −0.0973660 | − | 0.281321i | ||||
\(927\) | 0.784637 | − | 0.314121i | 0.0257709 | − | 0.0103171i | ||||
\(928\) | −19.1920 | − | 18.2996i | −0.630009 | − | 0.600713i | ||||
\(929\) | 18.0014 | − | 9.28038i | 0.590608 | − | 0.304479i | −0.136894 | − | 0.990586i | \(-0.543712\pi\) |
0.727501 | + | 0.686106i | \(0.240682\pi\) | |||||||
\(930\) | −0.146572 | − | 1.01943i | −0.00480627 | − | 0.0334284i | ||||
\(931\) | 1.40998 | − | 17.0664i | 0.0462103 | − | 0.559329i | ||||
\(932\) | 7.65682 | + | 16.7661i | 0.250807 | + | 0.549192i | ||||
\(933\) | −13.5615 | − | 5.42920i | −0.443983 | − | 0.177744i | ||||
\(934\) | −0.850318 | + | 17.8504i | −0.0278233 | + | 0.584082i | ||||
\(935\) | 0.173858 | + | 0.165773i | 0.00568577 | + | 0.00542137i | ||||
\(936\) | 1.07409 | + | 0.844674i | 0.0351077 | + | 0.0276090i | ||||
\(937\) | −25.9918 | + | 29.9962i | −0.849116 | + | 0.979932i | −0.999963 | − | 0.00862518i | \(-0.997254\pi\) |
0.150847 | + | 0.988557i | \(0.451800\pi\) | |||||||
\(938\) | −1.99797 | + | 9.47541i | −0.0652361 | + | 0.309383i | ||||
\(939\) | −18.0528 | − | 20.8340i | −0.589131 | − | 0.679893i | ||||
\(940\) | −0.190519 | + | 0.181660i | −0.00621406 | + | 0.00592509i | ||||
\(941\) | −50.2018 | + | 4.79369i | −1.63653 | + | 0.156270i | −0.872401 | − | 0.488790i | \(-0.837438\pi\) |
−0.764132 | + | 0.645060i | \(0.776832\pi\) | |||||||
\(942\) | 8.07364 | + | 13.9839i | 0.263053 | + | 0.455622i | ||||
\(943\) | −11.6149 | − | 10.9185i | −0.378235 | − | 0.355556i | ||||
\(944\) | 3.12160 | 0.101599 | ||||||||
\(945\) | 0.483820 | + | 0.0781853i | 0.0157387 | + | 0.00254337i | ||||
\(946\) | −8.63998 | − | 2.53693i | −0.280910 | − | 0.0824826i | ||||
\(947\) | −8.84760 | + | 1.70523i | −0.287508 | + | 0.0554127i | −0.330966 | − | 0.943643i | \(-0.607375\pi\) |
0.0434580 | + | 0.999055i | \(0.486163\pi\) | |||||||
\(948\) | −10.7452 | − | 5.53952i | −0.348987 | − | 0.179915i | ||||
\(949\) | 3.20193 | + | 0.617122i | 0.103939 | + | 0.0200326i | ||||
\(950\) | −7.68342 | − | 6.04231i | −0.249283 | − | 0.196038i | ||||
\(951\) | −9.60051 | + | 2.81896i | −0.311318 | + | 0.0914112i | ||||
\(952\) | −1.93249 | − | 2.09873i | −0.0626324 | − | 0.0680203i | ||||
\(953\) | 4.58947 | + | 31.9205i | 0.148667 | + | 1.03401i | 0.918404 | + | 0.395644i | \(0.129478\pi\) |
−0.769737 | + | 0.638362i | \(0.779612\pi\) | |||||||
\(954\) | 0.750706 | + | 0.0716838i | 0.0243050 | + | 0.00232085i | ||||
\(955\) | 1.88931 | − | 2.65316i | 0.0611365 | − | 0.0858543i | ||||
\(956\) | 21.5166 | − | 16.9208i | 0.695897 | − | 0.547259i | ||||
\(957\) | −13.1270 | + | 6.76743i | −0.424335 | + | 0.218760i | ||||
\(958\) | 1.70024 | − | 0.499235i | 0.0549323 | − | 0.0161296i | ||||
\(959\) | 7.58249 | − | 18.0239i | 0.244851 | − | 0.582024i | ||||
\(960\) | −0.438916 | + | 0.506535i | −0.0141659 | + | 0.0163484i | ||||
\(961\) | 0.796766 | + | 16.7262i | 0.0257021 | + | 0.539554i | ||||
\(962\) | −1.06769 | + | 3.08489i | −0.0344238 | + | 0.0994609i | ||||
\(963\) | −0.437292 | − | 1.80254i | −0.0140915 | − | 0.0580861i | ||||
\(964\) | 8.95245 | + | 12.5720i | 0.288339 | + | 0.404915i | ||||
\(965\) | −3.83772 | −0.123541 | ||||||||
\(966\) | −1.82866 | − | 10.0446i | −0.0588362 | − | 0.323181i | ||||
\(967\) | −23.0090 | −0.739921 | −0.369960 | − | 0.929048i | \(-0.620629\pi\) | ||||
−0.369960 | + | 0.929048i | \(0.620629\pi\) | |||||||
\(968\) | 0.742675 | + | 1.04294i | 0.0238705 | + | 0.0335214i | ||||
\(969\) | −0.230544 | − | 0.950314i | −0.00740613 | − | 0.0305285i | ||||
\(970\) | −0.281034 | + | 0.811995i | −0.00902347 | + | 0.0260716i | ||||
\(971\) | 0.531280 | + | 11.1529i | 0.0170496 | + | 0.357915i | 0.991230 | + | 0.132145i | \(0.0421866\pi\) |
−0.974181 | + | 0.225770i | \(0.927510\pi\) | |||||||
\(972\) | −0.885734 | + | 1.02219i | −0.0284099 | + | 0.0327868i | ||||
\(973\) | −4.35425 | − | 5.73983i | −0.139591 | − | 0.184011i | ||||
\(974\) | 5.20047 | − | 1.52700i | 0.166634 | − | 0.0489281i | ||||
\(975\) | −2.23569 | + | 1.15258i | −0.0715994 | + | 0.0369120i | ||||
\(976\) | 4.41162 | − | 3.46934i | 0.141213 | − | 0.111051i | ||||
\(977\) | −20.6138 | + | 28.9480i | −0.659493 | + | 0.926129i | −0.999900 | − | 0.0141498i | \(-0.995496\pi\) |
0.340407 | + | 0.940278i | \(0.389435\pi\) | |||||||
\(978\) | 0.316362 | + | 0.0302089i | 0.0101162 | + | 0.000965975i | ||||
\(979\) | 5.78595 | + | 40.2421i | 0.184920 | + | 1.28614i | ||||
\(980\) | 0.929270 | − | 1.48740i | 0.0296844 | − | 0.0475131i | ||||
\(981\) | 3.05690 | − | 0.897587i | 0.0975993 | − | 0.0286577i | ||||
\(982\) | 20.8787 | + | 16.4192i | 0.666267 | + | 0.523958i | ||||
\(983\) | −26.2346 | − | 5.05630i | −0.836753 | − | 0.161271i | −0.247163 | − | 0.968974i | \(-0.579498\pi\) |
−0.589590 | + | 0.807703i | \(0.700711\pi\) | |||||||
\(984\) | −7.96995 | − | 4.10879i | −0.254073 | − | 0.130984i | ||||
\(985\) | 2.99267 | − | 0.576791i | 0.0953545 | − | 0.0183781i | ||||
\(986\) | −1.40486 | − | 0.412504i | −0.0447398 | − | 0.0131368i | ||||
\(987\) | −0.988069 | − | 2.59833i | −0.0314506 | − | 0.0827056i | ||||
\(988\) | 1.67605 | 0.0533222 | ||||||||
\(989\) | −0.669865 | + | 16.5294i | −0.0213005 | + | 0.525605i | ||||
\(990\) | 0.241782 | + | 0.418779i | 0.00768434 | + | 0.0133097i | ||||
\(991\) | 7.10361 | − | 0.678313i | 0.225654 | − | 0.0215473i | 0.0183833 | − | 0.999831i | \(-0.494148\pi\) |
0.207270 | + | 0.978284i | \(0.433542\pi\) | |||||||
\(992\) | 29.1314 | − | 27.7767i | 0.924922 | − | 0.881912i | ||||
\(993\) | −14.6601 | − | 16.9187i | −0.465225 | − | 0.536898i | ||||
\(994\) | −22.6618 | − | 20.3382i | −0.718787 | − | 0.645087i | ||||
\(995\) | 2.81307 | − | 3.24646i | 0.0891803 | − | 0.102920i | ||||
\(996\) | 4.28945 | + | 3.37326i | 0.135917 | + | 0.106886i | ||||
\(997\) | −23.5080 | − | 22.4149i | −0.744507 | − | 0.709886i | 0.219544 | − | 0.975603i | \(-0.429543\pi\) |
−0.964051 | + | 0.265717i | \(0.914391\pi\) | |||||||
\(998\) | −0.521704 | + | 10.9519i | −0.0165143 | + | 0.346677i | ||||
\(999\) | −7.43558 | − | 2.97676i | −0.235251 | − | 0.0941804i |
(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 | 483.2.y.a.121.11 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.a.466.6 | yes | 320 | |
23.4 | even | 11 | inner | 483.2.y.a.142.6 | yes | 320 | |
161.4 | even | 33 | inner | 483.2.y.a.4.11 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.a.4.11 | ✓ | 320 | 161.4 | even | 33 | inner | |
483.2.y.a.121.11 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.a.142.6 | yes | 320 | 23.4 | even | 11 | inner | |
483.2.y.a.466.6 | yes | 320 | 7.4 | even | 3 | inner |