Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(5,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.h (of order \(54\), degree \(18\), 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: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 5.11 | ||
Character | \(\chi\) | \(=\) | 162.5 |
Dual form | 162.3.h.a.65.11 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{23}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.326140 | + | 1.37609i | 0.163070 | + | 0.688047i | ||||
\(3\) | −2.78435 | + | 1.11687i | −0.928116 | + | 0.372291i | ||||
\(4\) | −1.78727 | + | 0.897598i | −0.446816 | + | 0.224400i | ||||
\(5\) | 5.92375 | − | 4.41007i | 1.18475 | − | 0.882014i | 0.189745 | − | 0.981833i | \(-0.439234\pi\) |
0.995006 | + | 0.0998191i | \(0.0318264\pi\) | |||||||
\(6\) | −2.44501 | − | 3.46727i | −0.407502 | − | 0.577878i | ||||
\(7\) | 6.83506 | − | 4.49549i | 0.976437 | − | 0.642213i | 0.0422914 | − | 0.999105i | \(-0.486534\pi\) |
0.934145 | + | 0.356893i | \(0.116164\pi\) | |||||||
\(8\) | −1.81808 | − | 2.16670i | −0.227260 | − | 0.270838i | ||||
\(9\) | 6.50519 | − | 6.21953i | 0.722799 | − | 0.691059i | ||||
\(10\) | 8.00064 | + | 6.71334i | 0.800064 | + | 0.671334i | ||||
\(11\) | −1.35679 | + | 11.6081i | −0.123345 | + | 1.05528i | 0.779825 | + | 0.625997i | \(0.215308\pi\) |
−0.903170 | + | 0.429283i | \(0.858766\pi\) | |||||||
\(12\) | 3.97387 | − | 4.49537i | 0.331155 | − | 0.374615i | ||||
\(13\) | 0.463273 | + | 1.54744i | 0.0356364 | + | 0.119034i | 0.973957 | − | 0.226732i | \(-0.0728043\pi\) |
−0.938321 | + | 0.345766i | \(0.887619\pi\) | |||||||
\(14\) | 8.41540 | + | 7.93952i | 0.601100 | + | 0.567108i | ||||
\(15\) | −11.5683 | + | 18.8953i | −0.771220 | + | 1.25968i | ||||
\(16\) | 2.38863 | − | 3.20849i | 0.149290 | − | 0.200531i | ||||
\(17\) | 12.5713 | + | 2.21666i | 0.739488 | + | 0.130392i | 0.530689 | − | 0.847567i | \(-0.321933\pi\) |
0.208799 | + | 0.977958i | \(0.433044\pi\) | |||||||
\(18\) | 10.6803 | + | 6.92331i | 0.593347 | + | 0.384628i | ||||
\(19\) | 2.62832 | + | 14.9060i | 0.138333 | + | 0.784524i | 0.972481 | + | 0.232983i | \(0.0748488\pi\) |
−0.834148 | + | 0.551541i | \(0.814040\pi\) | |||||||
\(20\) | −6.62885 | + | 13.1991i | −0.331442 | + | 0.659956i | ||||
\(21\) | −14.0103 | + | 20.1509i | −0.667157 | + | 0.959566i | ||||
\(22\) | −16.4163 | + | 1.91879i | −0.746196 | + | 0.0872178i | ||||
\(23\) | 14.0969 | − | 21.4333i | 0.612908 | − | 0.931881i | −0.387044 | − | 0.922061i | \(-0.626504\pi\) |
0.999952 | − | 0.00981996i | \(-0.00312584\pi\) | |||||||
\(24\) | 7.48209 | + | 4.00229i | 0.311754 | + | 0.166762i | ||||
\(25\) | 8.47205 | − | 28.2986i | 0.338882 | − | 1.13194i | ||||
\(26\) | −1.97833 | + | 1.14219i | −0.0760895 | + | 0.0439303i | ||||
\(27\) | −11.1663 | + | 24.5828i | −0.413566 | + | 0.910474i | ||||
\(28\) | −8.18092 | + | 14.1698i | −0.292176 | + | 0.506063i | ||||
\(29\) | 35.0982 | − | 33.1134i | 1.21028 | − | 1.14184i | 0.224384 | − | 0.974501i | \(-0.427963\pi\) |
0.985899 | − | 0.167342i | \(-0.0535184\pi\) | |||||||
\(30\) | −29.7745 | − | 9.75656i | −0.992484 | − | 0.325219i | ||||
\(31\) | −0.496868 | + | 8.53089i | −0.0160280 | + | 0.275190i | 0.980766 | + | 0.195185i | \(0.0625307\pi\) |
−0.996794 | + | 0.0800052i | \(0.974506\pi\) | |||||||
\(32\) | 5.19421 | + | 2.24057i | 0.162319 | + | 0.0700177i | ||||
\(33\) | −9.18698 | − | 33.8363i | −0.278393 | − | 1.02534i | ||||
\(34\) | 1.04967 | + | 18.0222i | 0.0308728 | + | 0.530065i | ||||
\(35\) | 20.6638 | − | 56.7733i | 0.590394 | − | 1.62209i | ||||
\(36\) | −6.04386 | + | 16.9550i | −0.167885 | + | 0.470972i | ||||
\(37\) | −59.1279 | + | 21.5208i | −1.59805 | + | 0.581643i | −0.979028 | − | 0.203728i | \(-0.934694\pi\) |
−0.619025 | + | 0.785371i | \(0.712472\pi\) | |||||||
\(38\) | −19.6548 | + | 8.47825i | −0.517231 | + | 0.223112i | ||||
\(39\) | −3.01820 | − | 3.79119i | −0.0773898 | − | 0.0972100i | ||||
\(40\) | −20.3252 | − | 4.81715i | −0.508129 | − | 0.120429i | ||||
\(41\) | 10.1113 | − | 42.6627i | 0.246616 | − | 1.04055i | −0.698962 | − | 0.715159i | \(-0.746354\pi\) |
0.945578 | − | 0.325396i | \(-0.105498\pi\) | |||||||
\(42\) | −32.2988 | − | 12.7074i | −0.769020 | − | 0.302558i | ||||
\(43\) | 9.46120 | + | 21.9335i | 0.220028 | + | 0.510082i | 0.992100 | − | 0.125453i | \(-0.0400386\pi\) |
−0.772072 | + | 0.635536i | \(0.780779\pi\) | |||||||
\(44\) | −7.99445 | − | 21.9646i | −0.181692 | − | 0.499195i | ||||
\(45\) | 11.1066 | − | 65.5313i | 0.246813 | − | 1.45625i | ||||
\(46\) | 34.0917 | + | 12.4084i | 0.741125 | + | 0.269747i | ||||
\(47\) | −39.0928 | + | 2.27690i | −0.831762 | + | 0.0484446i | −0.468740 | − | 0.883336i | \(-0.655292\pi\) |
−0.363022 | + | 0.931781i | \(0.618255\pi\) | |||||||
\(48\) | −3.06731 | + | 11.6014i | −0.0639023 | + | 0.241695i | ||||
\(49\) | 7.10069 | − | 16.4612i | 0.144912 | − | 0.335944i | ||||
\(50\) | 41.7046 | + | 2.42902i | 0.834092 | + | 0.0485803i | ||||
\(51\) | −37.4786 | + | 7.86860i | −0.734875 | + | 0.154286i | ||||
\(52\) | −2.21697 | − | 2.34985i | −0.0426340 | − | 0.0451894i | ||||
\(53\) | 57.7082 | + | 33.3178i | 1.08883 | + | 0.628638i | 0.933266 | − | 0.359187i | \(-0.116946\pi\) |
0.155568 | + | 0.987825i | \(0.450279\pi\) | |||||||
\(54\) | −37.4700 | − | 7.34842i | −0.693889 | − | 0.136082i | ||||
\(55\) | 43.1552 | + | 74.7470i | 0.784640 | + | 1.35904i | ||||
\(56\) | −22.1670 | − | 6.63638i | −0.395840 | − | 0.118507i | ||||
\(57\) | −23.9662 | − | 38.5679i | −0.420460 | − | 0.676630i | ||||
\(58\) | 57.0141 | + | 37.4988i | 0.983002 | + | 0.646531i | ||||
\(59\) | 3.88648 | + | 33.2510i | 0.0658725 | + | 0.563576i | 0.985364 | + | 0.170465i | \(0.0545270\pi\) |
−0.919491 | + | 0.393111i | \(0.871399\pi\) | |||||||
\(60\) | 3.71528 | − | 44.1545i | 0.0619213 | − | 0.735909i | ||||
\(61\) | −87.3883 | − | 43.8880i | −1.43259 | − | 0.719476i | −0.447952 | − | 0.894058i | \(-0.647846\pi\) |
−0.984643 | + | 0.174582i | \(0.944143\pi\) | |||||||
\(62\) | −11.9014 | + | 2.09853i | −0.191957 | + | 0.0338473i | ||||
\(63\) | 16.5035 | − | 71.7548i | 0.261961 | − | 1.13897i | ||||
\(64\) | −1.38919 | + | 7.87846i | −0.0217060 | + | 0.123101i | ||||
\(65\) | 9.56862 | + | 7.12358i | 0.147210 | + | 0.109593i | ||||
\(66\) | 43.5657 | − | 23.6775i | 0.660086 | − | 0.358750i | ||||
\(67\) | 23.9226 | − | 25.3564i | 0.357053 | − | 0.378454i | −0.523802 | − | 0.851840i | \(-0.675487\pi\) |
0.880855 | + | 0.473386i | \(0.156968\pi\) | |||||||
\(68\) | −24.4579 | + | 7.32222i | −0.359675 | + | 0.107680i | ||||
\(69\) | −15.3124 | + | 75.4221i | −0.221919 | + | 1.09307i | ||||
\(70\) | 84.8646 | + | 9.91925i | 1.21235 | + | 0.141704i | ||||
\(71\) | −57.1834 | + | 68.1485i | −0.805400 | + | 0.959839i | −0.999778 | − | 0.0210882i | \(-0.993287\pi\) |
0.194377 | + | 0.980927i | \(0.437731\pi\) | |||||||
\(72\) | −25.3028 | − | 2.78721i | −0.351428 | − | 0.0387113i | ||||
\(73\) | 24.8184 | − | 20.8251i | 0.339978 | − | 0.285275i | −0.456773 | − | 0.889583i | \(-0.650995\pi\) |
0.796751 | + | 0.604308i | \(0.206550\pi\) | |||||||
\(74\) | −48.8986 | − | 74.3468i | −0.660792 | − | 1.00469i | ||||
\(75\) | 8.01683 | + | 88.2554i | 0.106891 | + | 1.17674i | ||||
\(76\) | −18.0771 | − | 24.2817i | −0.237856 | − | 0.319496i | ||||
\(77\) | 42.9103 | + | 85.4413i | 0.557276 | + | 1.10963i | ||||
\(78\) | 4.23267 | − | 5.38979i | 0.0542650 | − | 0.0690999i | ||||
\(79\) | −116.214 | + | 27.5432i | −1.47106 | + | 0.348649i | −0.886511 | − | 0.462707i | \(-0.846878\pi\) |
−0.584553 | + | 0.811356i | \(0.698730\pi\) | |||||||
\(80\) | − | 29.5404i | − | 0.369255i | ||||||
\(81\) | 3.63496 | − | 80.9184i | 0.0448761 | − | 0.998993i | ||||
\(82\) | 62.0056 | 0.756166 | ||||||||
\(83\) | −32.1354 | − | 135.590i | −0.387173 | − | 1.63361i | −0.722400 | − | 0.691475i | \(-0.756961\pi\) |
0.335227 | − | 0.942137i | \(-0.391187\pi\) | |||||||
\(84\) | 6.95269 | − | 48.5906i | 0.0827702 | − | 0.578460i | ||||
\(85\) | 84.2449 | − | 42.3094i | 0.991117 | − | 0.497757i | ||||
\(86\) | −27.0969 | + | 20.1729i | −0.315080 | + | 0.234569i | ||||
\(87\) | −60.7421 | + | 131.400i | −0.698185 | + | 1.51034i | ||||
\(88\) | 27.6180 | − | 18.1646i | 0.313841 | − | 0.206416i | ||||
\(89\) | −112.997 | − | 134.664i | −1.26963 | − | 1.51308i | −0.755102 | − | 0.655607i | \(-0.772413\pi\) |
−0.514525 | − | 0.857475i | \(-0.672032\pi\) | |||||||
\(90\) | 93.7995 | − | 6.08869i | 1.04222 | − | 0.0676522i | ||||
\(91\) | 10.1230 | + | 8.49419i | 0.111242 | + | 0.0933428i | ||||
\(92\) | −5.95640 | + | 50.9603i | −0.0647435 | + | 0.553916i | ||||
\(93\) | −8.14447 | − | 24.3079i | −0.0875750 | − | 0.261375i | ||||
\(94\) | −15.8830 | − | 53.0528i | −0.168968 | − | 0.564391i | ||||
\(95\) | 81.3059 | + | 76.7082i | 0.855852 | + | 0.807454i | ||||
\(96\) | −16.9649 | − | 0.437235i | −0.176718 | − | 0.00455454i | ||||
\(97\) | −57.6236 | + | 77.4019i | −0.594058 | + | 0.797958i | −0.992886 | − | 0.119068i | \(-0.962009\pi\) |
0.398829 | + | 0.917025i | \(0.369417\pi\) | |||||||
\(98\) | 24.9680 | + | 4.40254i | 0.254776 | + | 0.0449239i | ||||
\(99\) | 63.3706 | + | 83.9514i | 0.640107 | + | 0.847994i | ||||
\(100\) | 10.2590 | + | 58.1816i | 0.102590 | + | 0.581816i | ||||
\(101\) | −40.7748 | + | 81.1892i | −0.403711 | + | 0.803854i | 0.596289 | + | 0.802770i | \(0.296641\pi\) |
−0.999999 | + | 0.00108387i | \(0.999655\pi\) | |||||||
\(102\) | −23.0512 | − | 49.0078i | −0.225992 | − | 0.480468i | ||||
\(103\) | 2.48215 | − | 0.290122i | 0.0240986 | − | 0.00281672i | −0.104035 | − | 0.994574i | \(-0.533175\pi\) |
0.128134 | + | 0.991757i | \(0.459101\pi\) | |||||||
\(104\) | 2.51057 | − | 3.81714i | 0.0241401 | − | 0.0367032i | ||||
\(105\) | 5.87338 | + | 181.155i | 0.0559370 | + | 1.72529i | ||||
\(106\) | −27.0275 | + | 90.2781i | −0.254976 | + | 0.851680i | ||||
\(107\) | 1.57232 | − | 0.907782i | 0.0146946 | − | 0.00848394i | −0.492635 | − | 0.870236i | \(-0.663966\pi\) |
0.507329 | + | 0.861752i | \(0.330633\pi\) | |||||||
\(108\) | −2.10836 | − | 53.9588i | −0.0195219 | − | 0.499619i | ||||
\(109\) | −76.9769 | + | 133.328i | −0.706210 | + | 1.22319i | 0.260043 | + | 0.965597i | \(0.416263\pi\) |
−0.966253 | + | 0.257595i | \(0.917070\pi\) | |||||||
\(110\) | −88.7842 | + | 83.7635i | −0.807129 | + | 0.761487i | ||||
\(111\) | 140.597 | − | 125.960i | 1.26664 | − | 1.13477i | ||||
\(112\) | 1.90271 | − | 32.6683i | 0.0169885 | − | 0.291681i | ||||
\(113\) | 112.124 | + | 48.3656i | 0.992248 | + | 0.428014i | 0.829411 | − | 0.558639i | \(-0.188676\pi\) |
0.162837 | + | 0.986653i | \(0.447936\pi\) | |||||||
\(114\) | 45.2567 | − | 45.5583i | 0.396988 | − | 0.399634i | ||||
\(115\) | −11.0158 | − | 189.134i | −0.0957894 | − | 1.64464i | ||||
\(116\) | −33.0072 | + | 90.6866i | −0.284545 | + | 0.781781i | ||||
\(117\) | 12.6380 | + | 7.18504i | 0.108017 | + | 0.0614106i | ||||
\(118\) | −44.4889 | + | 16.1926i | −0.377024 | + | 0.137226i | ||||
\(119\) | 95.8905 | − | 41.3631i | 0.805803 | − | 0.347589i | ||||
\(120\) | 61.9724 | − | 9.28799i | 0.516437 | − | 0.0774000i | ||||
\(121\) | −15.1683 | − | 3.59495i | −0.125358 | − | 0.0297103i | ||||
\(122\) | 31.8932 | − | 134.568i | 0.261420 | − | 1.10302i | ||||
\(123\) | 19.4956 | + | 130.081i | 0.158501 | + | 1.05757i | ||||
\(124\) | −6.76928 | − | 15.6930i | −0.0545910 | − | 0.126556i | ||||
\(125\) | −11.4663 | − | 31.5034i | −0.0917305 | − | 0.252028i | ||||
\(126\) | 104.124 | − | 0.691730i | 0.826379 | − | 0.00548992i | ||||
\(127\) | 121.105 | + | 44.0787i | 0.953583 | + | 0.347076i | 0.771516 | − | 0.636210i | \(-0.219499\pi\) |
0.182068 | + | 0.983286i | \(0.441721\pi\) | |||||||
\(128\) | −11.2946 | + | 0.657834i | −0.0882388 | + | 0.00513933i | ||||
\(129\) | −50.8403 | − | 50.5036i | −0.394111 | − | 0.391501i | ||||
\(130\) | −6.68199 | + | 15.4906i | −0.0514000 | + | 0.119158i | ||||
\(131\) | 180.243 | + | 10.4980i | 1.37590 | + | 0.0801373i | 0.730087 | − | 0.683354i | \(-0.239480\pi\) |
0.645818 | + | 0.763492i | \(0.276517\pi\) | |||||||
\(132\) | 46.7910 | + | 52.2282i | 0.354477 | + | 0.395668i | ||||
\(133\) | 84.9743 | + | 90.0675i | 0.638905 | + | 0.677199i | ||||
\(134\) | 42.6949 | + | 24.6499i | 0.318619 | + | 0.183955i | ||||
\(135\) | 42.2656 | + | 194.867i | 0.313078 | + | 1.44346i | ||||
\(136\) | −18.0528 | − | 31.2683i | −0.132741 | − | 0.229914i | ||||
\(137\) | −63.5736 | − | 19.0327i | −0.464041 | − | 0.138925i | 0.0462439 | − | 0.998930i | \(-0.485275\pi\) |
−0.510285 | + | 0.860005i | \(0.670460\pi\) | |||||||
\(138\) | −108.782 | + | 3.52690i | −0.788274 | + | 0.0255573i | ||||
\(139\) | −90.7012 | − | 59.6551i | −0.652527 | − | 0.429174i | 0.179615 | − | 0.983737i | \(-0.442515\pi\) |
−0.832141 | + | 0.554563i | \(0.812885\pi\) | |||||||
\(140\) | 14.0279 | + | 120.017i | 0.100200 | + | 0.857262i | ||||
\(141\) | 106.305 | − | 50.0014i | 0.753936 | − | 0.354620i | ||||
\(142\) | −112.429 | − | 56.4637i | −0.791750 | − | 0.397632i | ||||
\(143\) | −18.5914 | + | 3.27816i | −0.130009 | + | 0.0229242i | ||||
\(144\) | −4.41679 | − | 35.7280i | −0.0306722 | − | 0.248111i | ||||
\(145\) | 61.8804 | − | 350.941i | 0.426762 | − | 2.42029i | ||||
\(146\) | 36.7515 | + | 27.3605i | 0.251723 | + | 0.187401i | ||||
\(147\) | −1.38567 | + | 53.7644i | −0.00942629 | + | 0.365744i | ||||
\(148\) | 86.3603 | − | 91.5365i | 0.583515 | − | 0.618490i | ||||
\(149\) | −129.384 | + | 38.7349i | −0.868347 | + | 0.259966i | −0.689831 | − | 0.723971i | \(-0.742315\pi\) |
−0.178517 | + | 0.983937i | \(0.557130\pi\) | |||||||
\(150\) | −118.833 | + | 39.8155i | −0.792220 | + | 0.265437i | ||||
\(151\) | −275.866 | − | 32.2441i | −1.82693 | − | 0.213537i | −0.867878 | − | 0.496777i | \(-0.834517\pi\) |
−0.959049 | + | 0.283240i | \(0.908591\pi\) | |||||||
\(152\) | 27.5183 | − | 32.7950i | 0.181041 | − | 0.215757i | ||||
\(153\) | 95.5652 | − | 63.7678i | 0.624609 | − | 0.416783i | ||||
\(154\) | −103.581 | + | 86.9144i | −0.672601 | + | 0.564379i | ||||
\(155\) | 34.6785 | + | 52.7261i | 0.223732 | + | 0.340169i | ||||
\(156\) | 8.79730 | + | 4.06673i | 0.0563929 | + | 0.0260688i | ||||
\(157\) | 116.578 | + | 156.591i | 0.742534 | + | 0.997396i | 0.999520 | + | 0.0309809i | \(0.00986311\pi\) |
−0.256986 | + | 0.966415i | \(0.582729\pi\) | |||||||
\(158\) | −75.8041 | − | 150.938i | −0.479773 | − | 0.955306i | ||||
\(159\) | −197.891 | − | 28.3157i | −1.24460 | − | 0.178086i | ||||
\(160\) | 40.6503 | − | 9.63430i | 0.254064 | − | 0.0602144i | ||||
\(161\) | − | 209.870i | − | 1.30354i | ||||||
\(162\) | 112.537 | − | 21.3887i | 0.694671 | − | 0.132029i | ||||
\(163\) | −12.4725 | −0.0765182 | −0.0382591 | − | 0.999268i | \(-0.512181\pi\) | ||||
−0.0382591 | + | 0.999268i | \(0.512181\pi\) | |||||||
\(164\) | 20.2225 | + | 85.3255i | 0.123308 | + | 0.520277i | ||||
\(165\) | −203.642 | − | 159.923i | −1.23419 | − | 0.969229i | ||||
\(166\) | 176.104 | − | 88.4426i | 1.06087 | − | 0.532786i | ||||
\(167\) | −106.019 | + | 78.9283i | −0.634845 | + | 0.472625i | −0.865834 | − | 0.500332i | \(-0.833211\pi\) |
0.230989 | + | 0.972956i | \(0.425804\pi\) | |||||||
\(168\) | 69.1328 | − | 6.27979i | 0.411505 | − | 0.0373797i | ||||
\(169\) | 139.017 | − | 91.4332i | 0.822589 | − | 0.541025i | ||||
\(170\) | 85.6973 | + | 102.130i | 0.504102 | + | 0.600765i | ||||
\(171\) | 109.806 | + | 80.6192i | 0.642139 | + | 0.471457i | ||||
\(172\) | −36.5972 | − | 30.7087i | −0.212774 | − | 0.178539i | ||||
\(173\) | −20.2981 | + | 173.661i | −0.117330 | + | 1.00382i | 0.798427 | + | 0.602091i | \(0.205666\pi\) |
−0.915757 | + | 0.401732i | \(0.868408\pi\) | |||||||
\(174\) | −200.629 | − | 40.7321i | −1.15304 | − | 0.234093i | ||||
\(175\) | −69.3091 | − | 231.509i | −0.396052 | − | 1.32291i | ||||
\(176\) | 34.0036 | + | 32.0807i | 0.193202 | + | 0.182277i | ||||
\(177\) | −47.9584 | − | 88.2416i | −0.270952 | − | 0.498540i | ||||
\(178\) | 148.458 | − | 199.414i | 0.834033 | − | 1.12030i | ||||
\(179\) | −175.085 | − | 30.8722i | −0.978129 | − | 0.172471i | −0.338342 | − | 0.941023i | \(-0.609866\pi\) |
−0.639787 | + | 0.768552i | \(0.720977\pi\) | |||||||
\(180\) | 38.9704 | + | 127.091i | 0.216502 | + | 0.706061i | ||||
\(181\) | −29.5059 | − | 167.336i | −0.163016 | − | 0.924510i | −0.951086 | − | 0.308925i | \(-0.900031\pi\) |
0.788070 | − | 0.615585i | \(-0.211080\pi\) | |||||||
\(182\) | −8.38729 | + | 16.7005i | −0.0460840 | + | 0.0917608i | ||||
\(183\) | 292.337 | + | 24.5980i | 1.59747 | + | 0.134415i | ||||
\(184\) | −72.0687 | + | 8.42362i | −0.391678 | + | 0.0457806i | ||||
\(185\) | −255.351 | + | 388.242i | −1.38028 | + | 2.09861i | ||||
\(186\) | 30.7937 | − | 19.1353i | 0.165558 | − | 0.102878i | ||||
\(187\) | −42.7878 | + | 142.921i | −0.228812 | + | 0.764284i | ||||
\(188\) | 67.8255 | − | 39.1591i | 0.360774 | − | 0.208293i | ||||
\(189\) | 34.1895 | + | 218.223i | 0.180897 | + | 1.15462i | ||||
\(190\) | −79.0405 | + | 136.902i | −0.416002 | + | 0.720537i | ||||
\(191\) | −167.709 | + | 158.225i | −0.878056 | + | 0.828403i | −0.986170 | − | 0.165736i | \(-0.947000\pi\) |
0.108115 | + | 0.994138i | \(0.465519\pi\) | |||||||
\(192\) | −4.93127 | − | 23.4879i | −0.0256837 | − | 0.122333i | ||||
\(193\) | 0.280772 | − | 4.82067i | 0.00145478 | − | 0.0249776i | −0.997503 | − | 0.0706291i | \(-0.977499\pi\) |
0.998957 | + | 0.0456515i | \(0.0145364\pi\) | |||||||
\(194\) | −125.306 | − | 54.0516i | −0.645905 | − | 0.278616i | ||||
\(195\) | −34.5985 | − | 9.14758i | −0.177428 | − | 0.0469107i | ||||
\(196\) | 2.08477 | + | 35.7942i | 0.0106366 | + | 0.182623i | ||||
\(197\) | 77.6212 | − | 213.263i | 0.394016 | − | 1.08255i | −0.571134 | − | 0.820857i | \(-0.693496\pi\) |
0.965151 | − | 0.261695i | \(-0.0842814\pi\) | |||||||
\(198\) | −94.8572 | + | 114.584i | −0.479077 | + | 0.578706i | ||||
\(199\) | 83.7068 | − | 30.4668i | 0.420637 | − | 0.153099i | −0.123025 | − | 0.992404i | \(-0.539260\pi\) |
0.543662 | + | 0.839304i | \(0.317037\pi\) | |||||||
\(200\) | −76.7175 | + | 33.0927i | −0.383587 | + | 0.165463i | ||||
\(201\) | −38.2888 | + | 97.3196i | −0.190492 | + | 0.484177i | ||||
\(202\) | −125.022 | − | 29.6308i | −0.618922 | − | 0.146687i | ||||
\(203\) | 91.0371 | − | 384.116i | 0.448459 | − | 1.89220i | ||||
\(204\) | 59.9214 | − | 47.7040i | 0.293732 | − | 0.233843i | ||||
\(205\) | −128.249 | − | 297.315i | −0.625606 | − | 1.45032i | ||||
\(206\) | 1.20877 | + | 3.32106i | 0.00586779 | + | 0.0161216i | ||||
\(207\) | −41.6019 | − | 227.103i | −0.200975 | − | 1.09712i | ||||
\(208\) | 6.07153 | + | 2.20986i | 0.0291901 | + | 0.0106243i | ||||
\(209\) | −176.596 | + | 10.2855i | −0.844956 | + | 0.0492131i | ||||
\(210\) | −247.371 | + | 67.1643i | −1.17796 | + | 0.319830i | ||||
\(211\) | −27.5988 | + | 63.9812i | −0.130800 | + | 0.303229i | −0.971012 | − | 0.239029i | \(-0.923171\pi\) |
0.840212 | + | 0.542257i | \(0.182430\pi\) | |||||||
\(212\) | −133.046 | − | 7.74904i | −0.627575 | − | 0.0365521i | ||||
\(213\) | 83.1053 | − | 253.616i | 0.390166 | − | 1.19068i | ||||
\(214\) | 1.76199 | + | 1.86760i | 0.00823360 | + | 0.00872711i | ||||
\(215\) | 152.774 | + | 88.2043i | 0.710578 | + | 0.410252i | ||||
\(216\) | 73.5648 | − | 20.4994i | 0.340578 | − | 0.0949048i | ||||
\(217\) | 34.9544 | + | 60.5428i | 0.161080 | + | 0.278999i | ||||
\(218\) | −208.577 | − | 62.4438i | −0.956775 | − | 0.286440i | ||||
\(219\) | −45.8440 | + | 85.7033i | −0.209333 | + | 0.391339i | ||||
\(220\) | −144.223 | − | 94.8566i | −0.655557 | − | 0.431167i | ||||
\(221\) | 2.39380 | + | 20.4802i | 0.0108317 | + | 0.0926707i | ||||
\(222\) | 219.187 | + | 152.394i | 0.987328 | + | 0.686458i | ||||
\(223\) | −220.620 | − | 110.799i | −0.989325 | − | 0.496858i | −0.120893 | − | 0.992666i | \(-0.538576\pi\) |
−0.868432 | + | 0.495808i | \(0.834872\pi\) | |||||||
\(224\) | 45.5752 | − | 8.03614i | 0.203461 | − | 0.0358756i | ||||
\(225\) | −120.892 | − | 236.780i | −0.537297 | − | 1.05236i | ||||
\(226\) | −29.9874 | + | 170.067i | −0.132688 | + | 0.752509i | ||||
\(227\) | 247.411 | + | 184.190i | 1.08992 | + | 0.811412i | 0.983137 | − | 0.182871i | \(-0.0585391\pi\) |
0.106778 | + | 0.994283i | \(0.465947\pi\) | |||||||
\(228\) | 77.4525 | + | 47.4190i | 0.339704 | + | 0.207978i | ||||
\(229\) | 23.3400 | − | 24.7390i | 0.101922 | − | 0.108031i | −0.674404 | − | 0.738362i | \(-0.735600\pi\) |
0.776326 | + | 0.630332i | \(0.217081\pi\) | |||||||
\(230\) | 256.673 | − | 76.8428i | 1.11597 | − | 0.334099i | ||||
\(231\) | −214.904 | − | 189.973i | −0.930321 | − | 0.822395i | ||||
\(232\) | −135.558 | − | 15.8445i | −0.584303 | − | 0.0682952i | ||||
\(233\) | 42.1209 | − | 50.1977i | 0.180776 | − | 0.215441i | −0.668045 | − | 0.744121i | \(-0.732869\pi\) |
0.848821 | + | 0.528680i | \(0.177313\pi\) | |||||||
\(234\) | −5.76552 | + | 19.7344i | −0.0246390 | + | 0.0843351i | ||||
\(235\) | −221.535 | + | 185.890i | −0.942702 | + | 0.791021i | ||||
\(236\) | −36.7922 | − | 55.9398i | −0.155899 | − | 0.237033i | ||||
\(237\) | 292.818 | − | 206.486i | 1.23552 | − | 0.871250i | ||||
\(238\) | 88.1933 | + | 118.464i | 0.370560 | + | 0.497748i | ||||
\(239\) | −48.3628 | − | 96.2982i | −0.202355 | − | 0.402921i | 0.769451 | − | 0.638706i | \(-0.220530\pi\) |
−0.971805 | + | 0.235785i | \(0.924234\pi\) | |||||||
\(240\) | 32.9928 | + | 82.2507i | 0.137470 | + | 0.342711i | ||||
\(241\) | 160.837 | − | 38.1190i | 0.667372 | − | 0.158170i | 0.117054 | − | 0.993126i | \(-0.462655\pi\) |
0.550317 | + | 0.834955i | \(0.314507\pi\) | |||||||
\(242\) | − | 22.0454i | − | 0.0910967i | ||||||
\(243\) | 80.2546 | + | 229.365i | 0.330266 | + | 0.943888i | ||||
\(244\) | 195.580 | 0.801557 | ||||||||
\(245\) | −30.5325 | − | 128.827i | −0.124623 | − | 0.525824i | ||||
\(246\) | −172.645 | + | 69.2524i | −0.701810 | + | 0.281514i | ||||
\(247\) | −21.8484 | + | 10.9727i | −0.0884552 | + | 0.0444238i | ||||
\(248\) | 19.3872 | − | 14.4333i | 0.0781744 | − | 0.0581986i | ||||
\(249\) | 240.913 | + | 341.638i | 0.967521 | + | 1.37204i | ||||
\(250\) | 39.6121 | − | 26.0533i | 0.158448 | − | 0.104213i | ||||
\(251\) | 51.1493 | + | 60.9573i | 0.203782 | + | 0.242858i | 0.858250 | − | 0.513232i | \(-0.171552\pi\) |
−0.654468 | + | 0.756090i | \(0.727107\pi\) | |||||||
\(252\) | 34.9108 | + | 143.058i | 0.138535 | + | 0.567692i | ||||
\(253\) | 229.673 | + | 192.718i | 0.907797 | + | 0.761732i | ||||
\(254\) | −21.1591 | + | 181.028i | −0.0833036 | + | 0.712708i | ||||
\(255\) | −187.313 | + | 211.895i | −0.734561 | + | 0.830960i | ||||
\(256\) | −4.58885 | − | 15.3278i | −0.0179252 | − | 0.0598743i | ||||
\(257\) | 196.146 | + | 185.054i | 0.763214 | + | 0.720055i | 0.965822 | − | 0.259205i | \(-0.0834604\pi\) |
−0.202608 | + | 0.979260i | \(0.564942\pi\) | |||||||
\(258\) | 52.9167 | − | 86.4322i | 0.205103 | − | 0.335009i | ||||
\(259\) | −307.396 | + | 412.905i | −1.18686 | + | 1.59423i | ||||
\(260\) | −23.4958 | − | 4.14294i | −0.0903684 | − | 0.0159344i | ||||
\(261\) | 22.3705 | − | 433.703i | 0.0857105 | − | 1.66170i | ||||
\(262\) | 44.3384 | + | 251.456i | 0.169231 | + | 0.959754i | ||||
\(263\) | 179.592 | − | 357.596i | 0.682858 | − | 1.35968i | −0.238567 | − | 0.971126i | \(-0.576678\pi\) |
0.921425 | − | 0.388556i | \(-0.127026\pi\) | |||||||
\(264\) | −56.6105 | + | 81.4225i | −0.214434 | + | 0.308418i | ||||
\(265\) | 488.783 | − | 57.1305i | 1.84446 | − | 0.215587i | ||||
\(266\) | −96.2278 | + | 146.307i | −0.361758 | + | 0.550027i | ||||
\(267\) | 465.025 | + | 248.749i | 1.74167 | + | 0.931646i | ||||
\(268\) | −19.9961 | + | 66.7916i | −0.0746122 | + | 0.249222i | ||||
\(269\) | 259.476 | − | 149.808i | 0.964593 | − | 0.556908i | 0.0670096 | − | 0.997752i | \(-0.478654\pi\) |
0.897584 | + | 0.440844i | \(0.145321\pi\) | |||||||
\(270\) | −254.370 | + | 121.715i | −0.942111 | + | 0.450797i | ||||
\(271\) | 119.641 | − | 207.225i | 0.441481 | − | 0.764668i | −0.556319 | − | 0.830969i | \(-0.687787\pi\) |
0.997800 | + | 0.0663015i | \(0.0211199\pi\) | |||||||
\(272\) | 37.1404 | − | 35.0401i | 0.136545 | − | 0.128824i | ||||
\(273\) | −37.6728 | − | 12.3447i | −0.137996 | − | 0.0452187i | ||||
\(274\) | 5.45685 | − | 93.6906i | 0.0199155 | − | 0.341936i | ||||
\(275\) | 316.998 | + | 136.740i | 1.15272 | + | 0.497235i | ||||
\(276\) | −40.3315 | − | 148.544i | −0.146129 | − | 0.538202i | ||||
\(277\) | 24.6440 | + | 423.121i | 0.0889674 | + | 1.52751i | 0.687365 | + | 0.726312i | \(0.258767\pi\) |
−0.598398 | + | 0.801199i | \(0.704196\pi\) | |||||||
\(278\) | 52.5097 | − | 144.269i | 0.188884 | − | 0.518954i | ||||
\(279\) | 49.8259 | + | 58.5854i | 0.178587 | + | 0.209983i | ||||
\(280\) | −160.579 | + | 58.4460i | −0.573496 | + | 0.208736i | ||||
\(281\) | −302.892 | + | 130.655i | −1.07791 | + | 0.464963i | −0.859626 | − | 0.510923i | \(-0.829304\pi\) |
−0.218279 | + | 0.975886i | \(0.570044\pi\) | |||||||
\(282\) | 103.477 | + | 129.978i | 0.366939 | + | 0.460915i | ||||
\(283\) | 126.872 | + | 30.0692i | 0.448311 | + | 0.106252i | 0.448569 | − | 0.893748i | \(-0.351934\pi\) |
−0.000257903 | 1.00000i | \(0.500082\pi\) | ||||||||
\(284\) | 41.0319 | − | 173.127i | 0.144479 | − | 0.609603i | ||||
\(285\) | −312.057 | − | 122.774i | −1.09494 | − | 0.430785i | ||||
\(286\) | −10.5744 | − | 24.5143i | −0.0369736 | − | 0.0857143i | ||||
\(287\) | −122.679 | − | 337.057i | −0.427452 | − | 1.17442i | ||||
\(288\) | 47.7246 | − | 17.7303i | 0.165710 | − | 0.0615634i | ||||
\(289\) | −118.447 | − | 43.1112i | −0.409852 | − | 0.149174i | ||||
\(290\) | 503.110 | − | 29.3028i | 1.73486 | − | 0.101044i | ||||
\(291\) | 73.9960 | − | 279.872i | 0.254282 | − | 0.961760i | ||||
\(292\) | −25.6645 | + | 59.4969i | −0.0878920 | + | 0.203756i | ||||
\(293\) | −248.629 | − | 14.4810i | −0.848565 | − | 0.0494233i | −0.371650 | − | 0.928373i | \(-0.621208\pi\) |
−0.476915 | + | 0.878950i | \(0.658245\pi\) | |||||||
\(294\) | −74.4368 | + | 15.6279i | −0.253186 | + | 0.0531562i | ||||
\(295\) | 169.662 | + | 179.831i | 0.575124 | + | 0.609596i | ||||
\(296\) | 154.128 | + | 88.9860i | 0.520704 | + | 0.300629i | ||||
\(297\) | −270.209 | − | 162.973i | −0.909794 | − | 0.548730i | ||||
\(298\) | −95.5001 | − | 165.411i | −0.320470 | − | 0.555071i | ||||
\(299\) | 39.6974 | + | 11.8846i | 0.132767 | + | 0.0397479i | ||||
\(300\) | −93.5461 | − | 150.540i | −0.311820 | − | 0.501800i | ||||
\(301\) | 163.270 | + | 107.384i | 0.542425 | + | 0.356758i | ||||
\(302\) | −45.6001 | − | 390.134i | −0.150994 | − | 1.29183i | ||||
\(303\) | 22.8531 | − | 271.599i | 0.0754227 | − | 0.896367i | ||||
\(304\) | 54.1038 | + | 27.1719i | 0.177973 | + | 0.0893814i | ||||
\(305\) | −711.216 | + | 125.407i | −2.33186 | + | 0.411169i | ||||
\(306\) | 118.918 | + | 110.709i | 0.388621 | + | 0.361796i | ||||
\(307\) | 80.0200 | − | 453.816i | 0.260652 | − | 1.47823i | −0.520486 | − | 0.853870i | \(-0.674249\pi\) |
0.781138 | − | 0.624359i | \(-0.214640\pi\) | |||||||
\(308\) | −153.384 | − | 114.190i | −0.498000 | − | 0.370747i | ||||
\(309\) | −6.58715 | + | 3.58005i | −0.0213176 | + | 0.0115859i | ||||
\(310\) | −61.2460 | + | 64.9170i | −0.197568 | + | 0.209410i | ||||
\(311\) | −128.681 | + | 38.5247i | −0.413767 | + | 0.123874i | −0.486919 | − | 0.873447i | \(-0.661879\pi\) |
0.0731523 | + | 0.997321i | \(0.476694\pi\) | |||||||
\(312\) | −2.72704 | + | 13.4322i | −0.00874053 | + | 0.0430520i | ||||
\(313\) | 278.788 | + | 32.5856i | 0.890696 | + | 0.104107i | 0.549117 | − | 0.835746i | \(-0.314964\pi\) |
0.341579 | + | 0.939853i | \(0.389038\pi\) | |||||||
\(314\) | −177.463 | + | 211.493i | −0.565170 | + | 0.673543i | ||||
\(315\) | −218.681 | − | 497.840i | −0.694226 | − | 1.58044i | ||||
\(316\) | 182.983 | − | 153.541i | 0.579059 | − | 0.485888i | ||||
\(317\) | 243.332 | + | 369.968i | 0.767609 | + | 1.16709i | 0.981729 | + | 0.190285i | \(0.0609413\pi\) |
−0.214120 | + | 0.976807i | \(0.568688\pi\) | |||||||
\(318\) | −25.5752 | − | 281.552i | −0.0804253 | − | 0.885383i | ||||
\(319\) | 336.763 | + | 452.351i | 1.05568 | + | 1.41803i | ||||
\(320\) | 26.5154 | + | 52.7965i | 0.0828606 | + | 0.164989i | ||||
\(321\) | −3.36402 | + | 4.28367i | −0.0104798 | + | 0.0133448i | ||||
\(322\) | 288.801 | − | 68.4470i | 0.896897 | − | 0.212568i | ||||
\(323\) | 193.213i | 0.598184i | ||||||||
\(324\) | 66.1356 | + | 147.885i | 0.204122 | + | 0.456436i | ||||
\(325\) | 47.7152 | 0.146816 | ||||||||
\(326\) | −4.06777 | − | 17.1633i | −0.0124778 | − | 0.0526481i | ||||
\(327\) | 65.4201 | − | 457.205i | 0.200062 | − | 1.39818i | ||||
\(328\) | −110.820 | + | 55.6561i | −0.337867 | + | 0.169683i | ||||
\(329\) | −256.966 | + | 191.304i | −0.781051 | + | 0.581471i | ||||
\(330\) | 153.653 | − | 332.387i | 0.465614 | − | 1.00723i | ||||
\(331\) | −67.9561 | + | 44.6954i | −0.205305 | + | 0.135031i | −0.647998 | − | 0.761642i | \(-0.724394\pi\) |
0.442693 | + | 0.896673i | \(0.354023\pi\) | |||||||
\(332\) | 179.140 | + | 213.490i | 0.539577 | + | 0.643043i | ||||
\(333\) | −250.789 | + | 507.745i | −0.753121 | + | 1.52476i | ||||
\(334\) | −143.190 | − | 120.150i | −0.428712 | − | 0.359732i | ||||
\(335\) | 29.8877 | − | 255.706i | 0.0892170 | − | 0.763300i | ||||
\(336\) | 31.1885 | + | 93.0850i | 0.0928230 | + | 0.277039i | ||||
\(337\) | 66.9670 | + | 223.685i | 0.198715 | + | 0.663755i | 0.998024 | + | 0.0628344i | \(0.0200140\pi\) |
−0.799309 | + | 0.600921i | \(0.794801\pi\) | |||||||
\(338\) | 171.160 | + | 161.481i | 0.506390 | + | 0.477754i | ||||
\(339\) | −366.210 | − | 9.43831i | −1.08027 | − | 0.0278416i | ||||
\(340\) | −112.591 | + | 151.236i | −0.331150 | + | 0.444812i | ||||
\(341\) | −98.3532 | − | 17.3423i | −0.288426 | − | 0.0508572i | ||||
\(342\) | −75.1274 | + | 177.396i | −0.219671 | + | 0.518702i | ||||
\(343\) | 44.1418 | + | 250.340i | 0.128693 | + | 0.729855i | ||||
\(344\) | 30.3222 | − | 60.3765i | 0.0881459 | − | 0.175513i | ||||
\(345\) | 241.910 | + | 514.311i | 0.701189 | + | 1.49076i | ||||
\(346\) | −245.594 | + | 28.7058i | −0.709810 | + | 0.0829649i | ||||
\(347\) | −114.038 | + | 173.387i | −0.328641 | + | 0.499674i | −0.961579 | − | 0.274528i | \(-0.911478\pi\) |
0.632938 | + | 0.774202i | \(0.281849\pi\) | |||||||
\(348\) | −9.38183 | − | 289.368i | −0.0269593 | − | 0.831517i | ||||
\(349\) | −107.364 | + | 358.619i | −0.307632 | + | 1.02756i | 0.654746 | + | 0.755849i | \(0.272776\pi\) |
−0.962378 | + | 0.271714i | \(0.912410\pi\) | |||||||
\(350\) | 295.973 | − | 170.880i | 0.845637 | − | 0.488229i | ||||
\(351\) | −43.2134 | − | 5.89060i | −0.123115 | − | 0.0167823i | ||||
\(352\) | −33.0561 | + | 57.2549i | −0.0939095 | + | 0.162656i | ||||
\(353\) | 287.160 | − | 270.922i | 0.813485 | − | 0.767483i | −0.162178 | − | 0.986762i | \(-0.551852\pi\) |
0.975662 | + | 0.219278i | \(0.0703703\pi\) | |||||||
\(354\) | 105.787 | − | 94.7744i | 0.298835 | − | 0.267724i | ||||
\(355\) | −38.2006 | + | 655.878i | −0.107607 | + | 1.84754i | ||||
\(356\) | 322.830 | + | 139.255i | 0.906825 | + | 0.391166i | ||||
\(357\) | −220.795 | + | 222.267i | −0.618474 | + | 0.622596i | ||||
\(358\) | −14.6192 | − | 251.002i | −0.0408358 | − | 0.701123i | ||||
\(359\) | 74.3758 | − | 204.346i | 0.207175 | − | 0.569209i | −0.791970 | − | 0.610561i | \(-0.790944\pi\) |
0.999145 | + | 0.0413517i | \(0.0131664\pi\) | |||||||
\(360\) | −162.179 | + | 95.0764i | −0.450498 | + | 0.264101i | ||||
\(361\) | 123.949 | − | 45.1139i | 0.343350 | − | 0.124969i | ||||
\(362\) | 220.647 | − | 95.1780i | 0.609523 | − | 0.262923i | ||||
\(363\) | 46.2488 | − | 6.93145i | 0.127407 | − | 0.0190949i | ||||
\(364\) | −25.7168 | − | 6.09500i | −0.0706506 | − | 0.0167445i | ||||
\(365\) | 55.1778 | − | 232.814i | 0.151172 | − | 0.637845i | ||||
\(366\) | 61.4936 | + | 410.305i | 0.168015 | + | 1.12105i | ||||
\(367\) | −205.224 | − | 475.763i | −0.559194 | − | 1.29636i | −0.929970 | − | 0.367635i | \(-0.880168\pi\) |
0.370776 | − | 0.928722i | \(-0.379092\pi\) | |||||||
\(368\) | −35.0962 | − | 96.4260i | −0.0953701 | − | 0.262027i | ||||
\(369\) | −199.566 | − | 340.416i | −0.540831 | − | 0.922538i | ||||
\(370\) | −617.538 | − | 224.765i | −1.66902 | − | 0.607474i | ||||
\(371\) | 544.218 | − | 31.6971i | 1.46690 | − | 0.0854370i | ||||
\(372\) | 36.3751 | + | 36.1342i | 0.0977825 | + | 0.0971350i | ||||
\(373\) | −145.625 | + | 337.596i | −0.390415 | + | 0.905084i | 0.603746 | + | 0.797177i | \(0.293674\pi\) |
−0.994161 | + | 0.107907i | \(0.965585\pi\) | |||||||
\(374\) | −210.628 | − | 12.2677i | −0.563175 | − | 0.0328012i | ||||
\(375\) | 67.1116 | + | 74.9101i | 0.178964 | + | 0.199760i | ||||
\(376\) | 76.0071 | + | 80.5629i | 0.202147 | + | 0.214263i | ||||
\(377\) | 67.5010 | + | 38.9717i | 0.179048 | + | 0.103373i | ||||
\(378\) | −289.144 | + | 118.219i | −0.764932 | + | 0.312749i | ||||
\(379\) | 69.5884 | + | 120.531i | 0.183611 | + | 0.318023i | 0.943107 | − | 0.332488i | \(-0.107888\pi\) |
−0.759497 | + | 0.650511i | \(0.774555\pi\) | |||||||
\(380\) | −214.168 | − | 64.1178i | −0.563601 | − | 0.168731i | ||||
\(381\) | −386.429 | + | 12.5287i | −1.01425 | + | 0.0328838i | ||||
\(382\) | −272.429 | − | 179.179i | −0.713164 | − | 0.469056i | ||||
\(383\) | −9.56984 | − | 81.8752i | −0.0249865 | − | 0.213773i | 0.974977 | − | 0.222305i | \(-0.0713582\pi\) |
−0.999964 | + | 0.00853202i | \(0.997284\pi\) | |||||||
\(384\) | 30.7133 | − | 14.4462i | 0.0799825 | − | 0.0376204i | ||||
\(385\) | 630.992 | + | 316.896i | 1.63894 | + | 0.823107i | ||||
\(386\) | 6.72527 | − | 1.18585i | 0.0174230 | − | 0.00307214i | ||||
\(387\) | 197.963 | + | 83.8376i | 0.511533 | + | 0.216635i | ||||
\(388\) | 33.5128 | − | 190.061i | 0.0863732 | − | 0.489847i | ||||
\(389\) | 154.857 | + | 115.287i | 0.398090 | + | 0.296367i | 0.777526 | − | 0.628851i | \(-0.216474\pi\) |
−0.379436 | + | 0.925218i | \(0.623882\pi\) | |||||||
\(390\) | 1.30396 | − | 50.5942i | 0.00334348 | − | 0.129729i | ||||
\(391\) | 224.726 | − | 238.196i | 0.574748 | − | 0.609197i | ||||
\(392\) | −48.5762 | + | 14.5428i | −0.123919 | + | 0.0370989i | ||||
\(393\) | −513.585 | + | 172.079i | −1.30683 | + | 0.437860i | ||||
\(394\) | 318.785 | + | 37.2606i | 0.809098 | + | 0.0945700i | ||||
\(395\) | −566.956 | + | 675.672i | −1.43533 | + | 1.71056i | ||||
\(396\) | −188.615 | − | 93.1620i | −0.476300 | − | 0.235258i | ||||
\(397\) | −452.742 | + | 379.896i | −1.14041 | + | 0.956917i | −0.999452 | − | 0.0330990i | \(-0.989462\pi\) |
−0.140957 | + | 0.990016i | \(0.545018\pi\) | |||||||
\(398\) | 69.2253 | + | 105.252i | 0.173933 | + | 0.264452i | ||||
\(399\) | −337.192 | − | 155.874i | −0.845093 | − | 0.390661i | ||||
\(400\) | −70.5593 | − | 94.7776i | −0.176398 | − | 0.236944i | ||||
\(401\) | −168.917 | − | 336.341i | −0.421239 | − | 0.838757i | −0.999734 | − | 0.0230704i | \(-0.992656\pi\) |
0.578494 | − | 0.815686i | \(-0.303640\pi\) | |||||||
\(402\) | −146.408 | − | 20.9492i | −0.364200 | − | 0.0521124i | ||||
\(403\) | −13.4312 | + | 3.18326i | −0.0333281 | + | 0.00789890i | ||||
\(404\) | − | 181.706i | − | 0.449768i | ||||||
\(405\) | −335.323 | − | 495.371i | −0.827959 | − | 1.22314i | ||||
\(406\) | 558.270 | 1.37505 | ||||||||
\(407\) | −169.591 | − | 715.561i | −0.416686 | − | 1.75814i | ||||
\(408\) | 85.1879 | + | 66.8992i | 0.208794 | + | 0.163969i | ||||
\(409\) | 282.570 | − | 141.912i | 0.690881 | − | 0.346974i | −0.0684712 | − | 0.997653i | \(-0.521812\pi\) |
0.759353 | + | 0.650679i | \(0.225516\pi\) | |||||||
\(410\) | 367.306 | − | 273.449i | 0.895868 | − | 0.666949i | ||||
\(411\) | 198.268 | − | 18.0100i | 0.482404 | − | 0.0438200i | ||||
\(412\) | −4.17585 | + | 2.74650i | −0.0101356 | + | 0.00666627i | ||||
\(413\) | 176.044 | + | 209.801i | 0.426256 | + | 0.507992i | ||||
\(414\) | 298.947 | − | 131.316i | 0.722095 | − | 0.317188i | ||||
\(415\) | −788.323 | − | 661.481i | −1.89957 | − | 1.59393i | ||||
\(416\) | −1.06080 | + | 9.07572i | −0.00255000 | + | 0.0218166i | ||||
\(417\) | 319.171 | + | 64.7989i | 0.765398 | + | 0.155393i | ||||
\(418\) | −71.7488 | − | 239.658i | −0.171648 | − | 0.573344i | ||||
\(419\) | −552.722 | − | 521.466i | −1.31915 | − | 1.24455i | −0.948885 | − | 0.315621i | \(-0.897787\pi\) |
−0.370260 | − | 0.928928i | \(-0.620731\pi\) | |||||||
\(420\) | −173.102 | − | 318.501i | −0.412148 | − | 0.758335i | ||||
\(421\) | −105.109 | + | 141.186i | −0.249665 | + | 0.335359i | −0.909234 | − | 0.416286i | \(-0.863332\pi\) |
0.659568 | + | 0.751644i | \(0.270739\pi\) | |||||||
\(422\) | −97.0452 | − | 17.1117i | −0.229965 | − | 0.0405490i | ||||
\(423\) | −240.145 | + | 257.950i | −0.567719 | + | 0.609812i | ||||
\(424\) | −32.7282 | − | 185.611i | −0.0771891 | − | 0.437761i | ||||
\(425\) | 169.233 | − | 336.971i | 0.398195 | − | 0.792872i | ||||
\(426\) | 376.103 | + | 31.6463i | 0.882871 | + | 0.0742870i | ||||
\(427\) | −794.602 | + | 92.8757i | −1.86089 | + | 0.217507i | ||||
\(428\) | −1.99534 | + | 3.03376i | −0.00466200 | + | 0.00708823i | ||||
\(429\) | 48.1035 | − | 29.8917i | 0.112129 | − | 0.0696777i | ||||
\(430\) | −71.5515 | + | 238.999i | −0.166399 | + | 0.555811i | ||||
\(431\) | −105.672 | + | 61.0098i | −0.245179 | + | 0.141554i | −0.617555 | − | 0.786528i | \(-0.711877\pi\) |
0.372376 | + | 0.928082i | \(0.378543\pi\) | |||||||
\(432\) | 52.2016 | + | 94.5463i | 0.120837 | + | 0.218857i | ||||
\(433\) | 347.589 | − | 602.041i | 0.802745 | − | 1.39039i | −0.115058 | − | 0.993359i | \(-0.536705\pi\) |
0.917803 | − | 0.397036i | \(-0.129961\pi\) | |||||||
\(434\) | −71.9125 | + | 67.8460i | −0.165697 | + | 0.156327i | ||||
\(435\) | 219.660 | + | 1046.26i | 0.504966 | + | 2.40519i | ||||
\(436\) | 17.9032 | − | 307.387i | 0.0410625 | − | 0.705015i | ||||
\(437\) | 356.535 | + | 153.794i | 0.815869 | + | 0.351931i | ||||
\(438\) | −132.887 | − | 35.1344i | −0.303396 | − | 0.0802154i | ||||
\(439\) | −38.4537 | − | 660.225i | −0.0875939 | − | 1.50393i | −0.700431 | − | 0.713720i | \(-0.747009\pi\) |
0.612837 | − | 0.790209i | \(-0.290028\pi\) | |||||||
\(440\) | 83.4948 | − | 229.400i | 0.189761 | − | 0.521364i | ||||
\(441\) | −56.1899 | − | 151.246i | −0.127415 | − | 0.342962i | ||||
\(442\) | −27.4020 | + | 9.97351i | −0.0619954 | + | 0.0225645i | ||||
\(443\) | 340.576 | − | 146.910i | 0.768795 | − | 0.331626i | 0.0246960 | − | 0.999695i | \(-0.492138\pi\) |
0.744099 | + | 0.668069i | \(0.232879\pi\) | |||||||
\(444\) | −138.222 | + | 351.323i | −0.311312 | + | 0.791268i | ||||
\(445\) | −1263.24 | − | 299.394i | −2.83875 | − | 0.672797i | ||||
\(446\) | 80.5173 | − | 339.729i | 0.180532 | − | 0.761724i | ||||
\(447\) | 316.987 | − | 252.357i | 0.709144 | − | 0.564557i | ||||
\(448\) | 25.9224 | + | 60.0948i | 0.0578624 | + | 0.134140i | ||||
\(449\) | 271.962 | + | 747.209i | 0.605706 | + | 1.66416i | 0.739502 | + | 0.673154i | \(0.235061\pi\) |
−0.133796 | + | 0.991009i | \(0.542717\pi\) | |||||||
\(450\) | 286.404 | − | 243.582i | 0.636453 | − | 0.541293i | ||||
\(451\) | 481.514 | + | 175.257i | 1.06766 | + | 0.388596i | ||||
\(452\) | −243.808 | + | 14.2002i | −0.539399 | + | 0.0314164i | ||||
\(453\) | 804.120 | − | 218.329i | 1.77510 | − | 0.481961i | ||||
\(454\) | −172.773 | + | 400.532i | −0.380557 | + | 0.882229i | ||||
\(455\) | 97.4261 | + | 5.67442i | 0.214123 | + | 0.0124713i | ||||
\(456\) | −39.9926 | + | 122.047i | −0.0877030 | + | 0.267647i | ||||
\(457\) | −252.553 | − | 267.691i | −0.552633 | − | 0.585757i | 0.389487 | − | 0.921032i | \(-0.372652\pi\) |
−0.942120 | + | 0.335275i | \(0.891171\pi\) | |||||||
\(458\) | 41.6553 | + | 24.0497i | 0.0909504 | + | 0.0525102i | ||||
\(459\) | −194.866 | + | 284.286i | −0.424546 | + | 0.619359i | ||||
\(460\) | 189.454 | + | 328.144i | 0.411857 | + | 0.713357i | ||||
\(461\) | 7.08981 | + | 2.12255i | 0.0153792 | + | 0.00460423i | 0.294484 | − | 0.955657i | \(-0.404852\pi\) |
−0.279104 | + | 0.960261i | \(0.590038\pi\) | |||||||
\(462\) | 191.332 | − | 357.686i | 0.414138 | − | 0.774212i | ||||
\(463\) | 200.805 | + | 132.071i | 0.433704 | + | 0.285252i | 0.747529 | − | 0.664229i | \(-0.231240\pi\) |
−0.313825 | + | 0.949481i | \(0.601611\pi\) | |||||||
\(464\) | −22.4075 | − | 191.708i | −0.0482920 | − | 0.413164i | ||||
\(465\) | −155.445 | − | 108.076i | −0.334291 | − | 0.232422i | ||||
\(466\) | 82.8140 | + | 41.5908i | 0.177712 | + | 0.0892505i | ||||
\(467\) | −147.477 | + | 26.0042i | −0.315797 | + | 0.0556836i | −0.329300 | − | 0.944225i | \(-0.606813\pi\) |
0.0135031 | + | 0.999909i | \(0.495702\pi\) | |||||||
\(468\) | −29.0368 | − | 1.49772i | −0.0620443 | − | 0.00320025i | ||||
\(469\) | 49.5226 | − | 280.856i | 0.105592 | − | 0.598841i | ||||
\(470\) | −328.053 | − | 244.227i | −0.697986 | − | 0.519631i | ||||
\(471\) | −499.486 | − | 305.802i | −1.06048 | − | 0.649261i | ||||
\(472\) | 64.9790 | − | 68.8737i | 0.137667 | − | 0.145919i | ||||
\(473\) | −267.443 | + | 80.0672i | −0.565419 | + | 0.169275i | ||||
\(474\) | 379.644 | + | 335.602i | 0.800937 | + | 0.708020i | ||||
\(475\) | 444.085 | + | 51.9061i | 0.934917 | + | 0.109276i | ||||
\(476\) | −134.254 | + | 159.998i | −0.282047 | + | 0.336130i | ||||
\(477\) | 582.624 | − | 142.179i | 1.22143 | − | 0.298069i | ||||
\(478\) | 116.742 | − | 97.9584i | 0.244231 | − | 0.204934i | ||||
\(479\) | −298.650 | − | 454.076i | −0.623487 | − | 0.947966i | −0.999770 | − | 0.0214609i | \(-0.993168\pi\) |
0.376283 | − | 0.926505i | \(-0.377202\pi\) | |||||||
\(480\) | −102.424 | + | 72.2265i | −0.213384 | + | 0.150472i | ||||
\(481\) | −60.6945 | − | 81.5268i | −0.126184 | − | 0.169494i | ||||
\(482\) | 104.911 | + | 208.894i | 0.217657 | + | 0.433390i | ||||
\(483\) | 234.398 | + | 584.351i | 0.485296 | + | 1.20984i | ||||
\(484\) | 30.3365 | − | 7.18989i | 0.0626788 | − | 0.0148551i | ||||
\(485\) | 712.634i | 1.46935i | ||||||||
\(486\) | −289.453 | + | 185.243i | −0.595582 | + | 0.381158i | ||||
\(487\) | −409.714 | −0.841302 | −0.420651 | − | 0.907222i | \(-0.638198\pi\) | ||||
−0.420651 | + | 0.907222i | \(0.638198\pi\) | |||||||
\(488\) | 63.7864 | + | 269.136i | 0.130710 | + | 0.551508i | ||||
\(489\) | 34.7277 | − | 13.9302i | 0.0710178 | − | 0.0284870i | ||||
\(490\) | 167.320 | − | 84.0312i | 0.341469 | − | 0.171492i | ||||
\(491\) | −51.1217 | + | 38.0587i | −0.104117 | + | 0.0775126i | −0.647958 | − | 0.761676i | \(-0.724377\pi\) |
0.543841 | + | 0.839188i | \(0.316970\pi\) | |||||||
\(492\) | −151.604 | − | 214.990i | −0.308139 | − | 0.436971i | ||||
\(493\) | 514.631 | − | 338.478i | 1.04388 | − | 0.686568i | ||||
\(494\) | −22.2251 | − | 26.4868i | −0.0449901 | − | 0.0536171i | ||||
\(495\) | 745.623 | + | 217.838i | 1.50631 | + | 0.440077i | ||||
\(496\) | 26.1845 | + | 21.9714i | 0.0527913 | + | 0.0442971i | ||||
\(497\) | −84.4910 | + | 722.867i | −0.170002 | + | 1.45446i | ||||
\(498\) | −391.555 | + | 442.940i | −0.786254 | + | 0.889438i | ||||
\(499\) | −118.380 | − | 395.416i | −0.237234 | − | 0.792417i | −0.990834 | − | 0.135084i | \(-0.956870\pi\) |
0.753600 | − | 0.657333i | \(-0.228316\pi\) | |||||||
\(500\) | 48.7708 | + | 46.0129i | 0.0975416 | + | 0.0920257i | ||||
\(501\) | 207.041 | − | 338.174i | 0.413256 | − | 0.674998i | ||||
\(502\) | −67.2011 | + | 90.2668i | −0.133867 | + | 0.179814i | ||||
\(503\) | 624.038 | + | 110.035i | 1.24063 | + | 0.218757i | 0.755187 | − | 0.655510i | \(-0.227546\pi\) |
0.485446 | + | 0.874267i | \(0.338657\pi\) | |||||||
\(504\) | −185.476 | + | 94.6976i | −0.368008 | + | 0.187892i | ||||
\(505\) | 116.511 | + | 660.765i | 0.230714 | + | 1.30844i | ||||
\(506\) | −190.293 | + | 378.904i | −0.376073 | + | 0.748822i | ||||
\(507\) | −284.954 | + | 409.847i | −0.562039 | + | 0.808377i | ||||
\(508\) | −256.012 | + | 29.9235i | −0.503960 | + | 0.0589045i | ||||
\(509\) | 145.013 | − | 220.482i | 0.284898 | − | 0.433166i | −0.664478 | − | 0.747308i | \(-0.731346\pi\) |
0.949376 | + | 0.314141i | \(0.101717\pi\) | |||||||
\(510\) | −352.677 | − | 188.653i | −0.691524 | − | 0.369907i | ||||
\(511\) | 76.0161 | − | 253.911i | 0.148759 | − | 0.496891i | ||||
\(512\) | 19.5959 | − | 11.3137i | 0.0382733 | − | 0.0220971i | ||||
\(513\) | −395.779 | − | 101.833i | −0.771499 | − | 0.198504i | ||||
\(514\) | −190.681 | + | 330.269i | −0.370974 | + | 0.642546i | ||||
\(515\) | 13.4242 | − | 12.6651i | 0.0260664 | − | 0.0245924i | ||||
\(516\) | 136.197 | + | 44.6293i | 0.263948 | + | 0.0864908i | ||||
\(517\) | 26.6103 | − | 456.882i | 0.0514707 | − | 0.883717i | ||||
\(518\) | −668.450 | − | 288.341i | −1.29044 | − | 0.556643i | ||||
\(519\) | −137.441 | − | 506.204i | −0.264818 | − | 0.975345i | ||||
\(520\) | −1.96184 | − | 33.6836i | −0.00377278 | − | 0.0647761i | ||||
\(521\) | 76.0911 | − | 209.059i | 0.146048 | − | 0.401264i | −0.845000 | − | 0.534766i | \(-0.820400\pi\) |
0.991049 | + | 0.133502i | \(0.0426221\pi\) | |||||||
\(522\) | 604.112 | − | 110.664i | 1.15730 | − | 0.212000i | ||||
\(523\) | 464.275 | − | 168.982i | 0.887716 | − | 0.323102i | 0.142396 | − | 0.989810i | \(-0.454519\pi\) |
0.745319 | + | 0.666708i | \(0.232297\pi\) | |||||||
\(524\) | −331.566 | + | 143.024i | −0.632759 | + | 0.272946i | ||||
\(525\) | 451.547 | + | 567.191i | 0.860089 | + | 1.08036i | ||||
\(526\) | 550.658 | + | 130.508i | 1.04688 | + | 0.248115i | ||||
\(527\) | −25.1564 | + | 106.143i | −0.0477350 | + | 0.201410i | ||||
\(528\) | −130.508 | − | 51.3462i | −0.247174 | − | 0.0972466i | ||||
\(529\) | −51.1367 | − | 118.548i | −0.0966668 | − | 0.224099i | ||||
\(530\) | 238.029 | + | 653.978i | 0.449111 | + | 1.23392i | ||||
\(531\) | 232.088 | + | 192.132i | 0.437076 | + | 0.361830i | ||||
\(532\) | −232.716 | − | 84.7017i | −0.437436 | − | 0.159214i | ||||
\(533\) | 70.7022 | − | 4.11794i | 0.132650 | − | 0.00772596i | ||||
\(534\) | −190.639 | + | 721.046i | −0.357002 | + | 1.35027i | ||||
\(535\) | 5.31068 | − | 12.3115i | 0.00992650 | − | 0.0230122i | ||||
\(536\) | −98.4329 | − | 5.73307i | −0.183644 | − | 0.0106960i | ||||
\(537\) | 521.978 | − | 109.589i | 0.972027 | − | 0.204076i | ||||
\(538\) | 290.776 | + | 308.204i | 0.540475 | + | 0.572870i | ||||
\(539\) | 181.449 | + | 104.760i | 0.336641 | + | 0.194360i | ||||
\(540\) | −250.452 | − | 310.341i | −0.463799 | − | 0.574705i | ||||
\(541\) | 415.628 | + | 719.890i | 0.768260 | + | 1.33066i | 0.938506 | + | 0.345263i | \(0.112210\pi\) |
−0.170246 | + | 0.985402i | \(0.554456\pi\) | |||||||
\(542\) | 324.181 | + | 97.0533i | 0.598119 | + | 0.179065i | ||||
\(543\) | 269.048 | + | 432.968i | 0.495485 | + | 0.797363i | ||||
\(544\) | 60.3315 | + | 39.6806i | 0.110903 | + | 0.0729423i | ||||
\(545\) | 131.993 | + | 1129.28i | 0.242190 | + | 2.07206i | ||||
\(546\) | 4.70083 | − | 55.8675i | 0.00860958 | − | 0.102321i | ||||
\(547\) | −179.107 | − | 89.9511i | −0.327436 | − | 0.164444i | 0.277485 | − | 0.960730i | \(-0.410499\pi\) |
−0.604921 | + | 0.796285i | \(0.706795\pi\) | |||||||
\(548\) | 130.707 | − | 23.0471i | 0.238516 | − | 0.0420568i | ||||
\(549\) | −841.440 | + | 258.014i | −1.53268 | + | 0.469970i | ||||
\(550\) | −84.7806 | + | 480.815i | −0.154147 | + | 0.874209i | ||||
\(551\) | 585.837 | + | 436.140i | 1.06323 | + | 0.791542i | ||||
\(552\) | 191.256 | − | 103.946i | 0.346479 | − | 0.188308i | ||||
\(553\) | −670.509 | + | 710.698i | −1.21249 | + | 1.28517i | ||||
\(554\) | −574.216 | + | 171.909i | −1.03649 | + | 0.310305i | ||||
\(555\) | 277.369 | − | 1366.20i | 0.499763 | − | 2.46162i | ||||
\(556\) | 215.653 | + | 25.2063i | 0.387866 | + | 0.0453350i | ||||
\(557\) | 109.391 | − | 130.368i | 0.196394 | − | 0.234053i | −0.658856 | − | 0.752269i | \(-0.728959\pi\) |
0.855250 | + | 0.518216i | \(0.173404\pi\) | |||||||
\(558\) | −64.3687 | + | 87.6721i | −0.115356 | + | 0.157119i | ||||
\(559\) | −29.5577 | + | 24.8018i | −0.0528760 | + | 0.0443682i | ||||
\(560\) | −132.798 | − | 201.910i | −0.237140 | − | 0.360554i | ||||
\(561\) | −40.4887 | − | 445.731i | −0.0721724 | − | 0.794529i | ||||
\(562\) | −278.578 | − | 374.195i | −0.495690 | − | 0.665828i | ||||
\(563\) | −12.2266 | − | 24.3452i | −0.0217169 | − | 0.0432419i | 0.882513 | − | 0.470289i | \(-0.155850\pi\) |
−0.904229 | + | 0.427047i | \(0.859554\pi\) | |||||||
\(564\) | −145.114 | + | 184.785i | −0.257294 | + | 0.327633i | ||||
\(565\) | 877.491 | − | 207.969i | 1.55308 | − | 0.368087i | ||||
\(566\) | 184.394i | 0.325785i | ||||||||
\(567\) | −338.923 | − | 569.423i | −0.597747 | − | 1.00427i | ||||
\(568\) | 251.621 | 0.442995 | ||||||||
\(569\) | 69.7536 | + | 294.313i | 0.122590 | + | 0.517247i | 0.999341 | + | 0.0363024i | \(0.0115580\pi\) |
−0.876751 | + | 0.480944i | \(0.840294\pi\) | |||||||
\(570\) | 67.1739 | − | 469.461i | 0.117849 | − | 0.823616i | ||||
\(571\) | 256.588 | − | 128.863i | 0.449366 | − | 0.225680i | −0.209699 | − | 0.977766i | \(-0.567248\pi\) |
0.659065 | + | 0.752086i | \(0.270952\pi\) | |||||||
\(572\) | 30.2852 | − | 22.5465i | 0.0529462 | − | 0.0394170i | ||||
\(573\) | 290.242 | − | 627.863i | 0.506531 | − | 1.09575i | ||||
\(574\) | 423.812 | − | 278.745i | 0.738348 | − | 0.485619i | ||||
\(575\) | −487.102 | − | 580.506i | −0.847134 | − | 1.00958i | ||||
\(576\) | 39.9634 | + | 59.8910i | 0.0693809 | + | 0.103977i | ||||
\(577\) | −411.746 | − | 345.496i | −0.713597 | − | 0.598779i | 0.212009 | − | 0.977268i | \(-0.431999\pi\) |
−0.925606 | + | 0.378489i | \(0.876444\pi\) | |||||||
\(578\) | 20.6947 | − | 177.055i | 0.0358040 | − | 0.306323i | ||||
\(579\) | 4.60231 | + | 13.7360i | 0.00794872 | + | 0.0237237i | ||||
\(580\) | 204.408 | + | 682.769i | 0.352427 | + | 1.17719i | ||||
\(581\) | −829.190 | − | 782.300i | −1.42718 | − | 1.34647i | ||||
\(582\) | 409.263 | + | 10.5479i | 0.703201 | + | 0.0181235i | ||||
\(583\) | −465.054 | + | 624.676i | −0.797691 | + | 1.07149i | ||||
\(584\) | −90.2435 | − | 15.9124i | −0.154527 | − | 0.0272472i | ||||
\(585\) | 106.551 | − | 13.1721i | 0.182138 | − | 0.0225164i | ||||
\(586\) | −61.1608 | − | 346.860i | −0.104370 | − | 0.591911i | ||||
\(587\) | 160.748 | − | 320.076i | 0.273847 | − | 0.545274i | −0.714104 | − | 0.700039i | \(-0.753166\pi\) |
0.987951 | + | 0.154765i | \(0.0494621\pi\) | |||||||
\(588\) | −45.7823 | − | 97.3350i | −0.0778610 | − | 0.165536i | ||||
\(589\) | −128.467 | + | 15.0157i | −0.218111 | + | 0.0254935i | ||||
\(590\) | −192.131 | + | 292.120i | −0.325645 | + | 0.495119i | ||||
\(591\) | 22.0627 | + | 680.490i | 0.0373312 | + | 1.15142i | ||||
\(592\) | −72.1857 | + | 241.117i | −0.121935 | + | 0.407292i | ||||
\(593\) | −387.608 | + | 223.785i | −0.653639 | + | 0.377379i | −0.789849 | − | 0.613301i | \(-0.789841\pi\) |
0.136210 | + | 0.990680i | \(0.456508\pi\) | |||||||
\(594\) | 136.140 | − | 424.985i | 0.229192 | − | 0.715462i | ||||
\(595\) | 385.617 | − | 667.909i | 0.648097 | − | 1.12254i | ||||
\(596\) | 196.475 | − | 185.364i | 0.329655 | − | 0.311014i | ||||
\(597\) | −199.041 | + | 178.320i | −0.333403 | + | 0.298694i | ||||
\(598\) | −3.40743 | + | 58.5033i | −0.00569804 | + | 0.0978316i | ||||
\(599\) | 117.709 | + | 50.7748i | 0.196509 | + | 0.0847659i | 0.492060 | − | 0.870561i | \(-0.336244\pi\) |
−0.295551 | + | 0.955327i | \(0.595503\pi\) | |||||||
\(600\) | 176.648 | − | 177.825i | 0.294413 | − | 0.296375i | ||||
\(601\) | 16.4140 | + | 281.818i | 0.0273112 | + | 0.468915i | 0.984042 | + | 0.177939i | \(0.0569430\pi\) |
−0.956730 | + | 0.290976i | \(0.906020\pi\) | |||||||
\(602\) | −94.5219 | + | 259.697i | −0.157013 | + | 0.431390i | ||||
\(603\) | −2.08425 | − | 313.736i | −0.00345647 | − | 0.520291i | ||||
\(604\) | 521.988 | − | 189.988i | 0.864219 | − | 0.314550i | ||||
\(605\) | −105.707 | + | 45.5976i | −0.174722 | + | 0.0753679i | ||||
\(606\) | 381.199 | − | 57.1315i | 0.629042 | − | 0.0942764i | ||||
\(607\) | −654.557 | − | 155.133i | −1.07835 | − | 0.255573i | −0.347199 | − | 0.937792i | \(-0.612867\pi\) |
−0.731148 | + | 0.682219i | \(0.761015\pi\) | |||||||
\(608\) | −19.7457 | + | 83.3137i | −0.0324765 | + | 0.137029i | ||||
\(609\) | 175.530 | + | 1171.19i | 0.288226 | + | 1.92313i | ||||
\(610\) | −404.527 | − | 937.799i | −0.663159 | − | 1.53738i | ||||
\(611\) | −21.6340 | − | 59.4389i | −0.0354075 | − | 0.0972813i | ||||
\(612\) | −113.563 | + | 199.749i | −0.185560 | + | 0.326387i | ||||
\(613\) | −339.176 | − | 123.450i | −0.553306 | − | 0.201387i | 0.0502089 | − | 0.998739i | \(-0.484011\pi\) |
−0.603515 | + | 0.797352i | \(0.706234\pi\) | |||||||
\(614\) | 650.591 | − | 37.8926i | 1.05959 | − | 0.0617144i | ||||
\(615\) | 689.153 | + | 684.590i | 1.12057 | + | 1.11315i | ||||
\(616\) | 107.112 | − | 248.313i | 0.173883 | − | 0.403105i | ||||
\(617\) | −513.612 | − | 29.9145i | −0.832434 | − | 0.0484838i | −0.363367 | − | 0.931646i | \(-0.618373\pi\) |
−0.469067 | + | 0.883162i | \(0.655410\pi\) | |||||||
\(618\) | −7.07482 | − | 7.89694i | −0.0114479 | − | 0.0127782i | ||||
\(619\) | −204.978 | − | 217.264i | −0.331143 | − | 0.350991i | 0.540313 | − | 0.841464i | \(-0.318306\pi\) |
−0.871457 | + | 0.490473i | \(0.836824\pi\) | |||||||
\(620\) | −109.307 | − | 63.1082i | −0.176301 | − | 0.101787i | ||||
\(621\) | 369.480 | + | 585.871i | 0.594976 | + | 0.943431i | ||||
\(622\) | −94.9817 | − | 164.513i | −0.152704 | − | 0.264491i | ||||
\(623\) | −1377.72 | − | 412.463i | −2.21143 | − | 0.662059i | ||||
\(624\) | −19.3734 | + | 0.628120i | −0.0310471 | + | 0.00100660i | ||||
\(625\) | 410.143 | + | 269.755i | 0.656229 | + | 0.431609i | ||||
\(626\) | 46.0830 | + | 394.265i | 0.0736151 | + | 0.629817i | ||||
\(627\) | 480.216 | − | 225.874i | 0.765895 | − | 0.360245i | ||||
\(628\) | −348.911 | − | 175.230i | −0.555591 | − | 0.279029i | ||||
\(629\) | −791.019 | + | 139.478i | −1.25758 | + | 0.221746i | ||||
\(630\) | 613.753 | − | 463.291i | 0.974211 | − | 0.735382i | ||||
\(631\) | −56.2479 | + | 318.998i | −0.0891409 | + | 0.505543i | 0.907245 | + | 0.420602i | \(0.138181\pi\) |
−0.996386 | + | 0.0849409i | \(0.972930\pi\) | |||||||
\(632\) | 270.964 | + | 201.725i | 0.428741 | + | 0.319186i | ||||
\(633\) | 5.38577 | − | 208.970i | 0.00850833 | − | 0.330127i | ||||
\(634\) | −429.751 | + | 455.509i | −0.677840 | + | 0.718469i | ||||
\(635\) | 911.787 | − | 272.971i | 1.43588 | − | 0.429876i | ||||
\(636\) | 379.101 | − | 127.019i | 0.596070 | − | 0.199716i | ||||
\(637\) | 28.7623 | + | 3.36183i | 0.0451528 | + | 0.00527760i | ||||
\(638\) | −512.645 | + | 610.947i | −0.803519 | + | 0.957597i | ||||
\(639\) | 51.8628 | + | 798.973i | 0.0811624 | + | 1.25035i | ||||
\(640\) | −64.0051 | + | 53.7067i | −0.100008 | + | 0.0839167i | ||||
\(641\) | −123.579 | − | 187.893i | −0.192791 | − | 0.293125i | 0.726137 | − | 0.687550i | \(-0.241314\pi\) |
−0.918928 | + | 0.394425i | \(0.870944\pi\) | |||||||
\(642\) | −6.99187 | − | 3.23213i | −0.0108908 | − | 0.00503447i | ||||
\(643\) | 15.0426 | + | 20.2057i | 0.0233944 | + | 0.0314241i | 0.813666 | − | 0.581332i | \(-0.197468\pi\) |
−0.790272 | + | 0.612756i | \(0.790061\pi\) | |||||||
\(644\) | 188.379 | + | 375.093i | 0.292514 | + | 0.582443i | ||||
\(645\) | −523.890 | − | 74.9619i | −0.812232 | − | 0.116220i | ||||
\(646\) | −265.880 | + | 63.0146i | −0.411578 | + | 0.0975459i | ||||
\(647\) | 19.0762i | 0.0294841i | 0.999891 | + | 0.0147421i | \(0.00469272\pi\) | ||||
−0.999891 | + | 0.0147421i | \(0.995307\pi\) | |||||||
\(648\) | −181.935 | + | 139.240i | −0.280763 | + | 0.214877i | ||||
\(649\) | −391.253 | −0.602855 | ||||||||
\(650\) | 15.5618 | + | 65.6606i | 0.0239413 | + | 0.101016i | ||||
\(651\) | −164.944 | − | 129.533i | −0.253370 | − | 0.198975i | ||||
\(652\) | 22.2916 | − | 11.1953i | 0.0341896 | − | 0.0171707i | ||||
\(653\) | 28.5423 | − | 21.2490i | 0.0437095 | − | 0.0325405i | −0.575082 | − | 0.818096i | \(-0.695030\pi\) |
0.618792 | + | 0.785555i | \(0.287623\pi\) | |||||||
\(654\) | 650.493 | − | 59.0886i | 0.994637 | − | 0.0903495i | ||||
\(655\) | 1114.01 | − | 732.699i | 1.70079 | − | 1.11862i | ||||
\(656\) | −112.731 | − | 134.348i | −0.171846 | − | 0.204798i | ||||
\(657\) | 31.9260 | − | 289.830i | 0.0485936 | − | 0.441141i | ||||
\(658\) | −347.059 | − | 291.217i | −0.527445 | − | 0.442579i | ||||
\(659\) | −26.3156 | + | 225.144i | −0.0399326 | + | 0.341645i | 0.958472 | + | 0.285186i | \(0.0920552\pi\) |
−0.998405 | + | 0.0564594i | \(0.982019\pi\) | |||||||
\(660\) | 507.508 | + | 103.036i | 0.768952 | + | 0.156115i | ||||
\(661\) | −274.553 | − | 917.071i | −0.415360 | − | 1.38740i | −0.868380 | − | 0.495899i | \(-0.834839\pi\) |
0.453020 | − | 0.891500i | \(-0.350346\pi\) | |||||||
\(662\) | −83.6682 | − | 78.9369i | −0.126387 | − | 0.119240i | ||||
\(663\) | −29.5390 | − | 54.3505i | −0.0445535 | − | 0.0819766i | ||||
\(664\) | −235.358 | + | 316.141i | −0.354455 | + | 0.476115i | ||||
\(665\) | 900.571 | + | 158.795i | 1.35424 | + | 0.238789i | ||||
\(666\) | −780.497 | − | 179.513i | −1.17192 | − | 0.269540i | ||||
\(667\) | −214.954 | − | 1219.07i | −0.322270 | − | 1.82768i | ||||
\(668\) | 118.638 | − | 236.228i | 0.177602 | − | 0.353635i | ||||
\(669\) | 738.030 | + | 62.0998i | 1.10318 | + | 0.0928248i | ||||
\(670\) | 361.622 | − | 42.2676i | 0.539735 | − | 0.0630859i | ||||
\(671\) | 628.024 | − | 954.863i | 0.935952 | − | 1.42305i | ||||
\(672\) | −117.922 | + | 73.2771i | −0.175479 | + | 0.109043i | ||||
\(673\) | 59.2091 | − | 197.772i | 0.0879779 | − | 0.293867i | −0.902665 | − | 0.430343i | \(-0.858393\pi\) |
0.990643 | + | 0.136476i | \(0.0435778\pi\) | |||||||
\(674\) | −285.971 | + | 165.106i | −0.424290 | + | 0.244964i | ||||
\(675\) | 601.058 | + | 524.257i | 0.890456 | + | 0.776677i | ||||
\(676\) | −166.391 | + | 288.197i | −0.246140 | + | 0.426327i | ||||
\(677\) | 141.911 | − | 133.886i | 0.209617 | − | 0.197763i | −0.574272 | − | 0.818665i | \(-0.694715\pi\) |
0.783889 | + | 0.620901i | \(0.213233\pi\) | |||||||
\(678\) | −106.448 | − | 507.018i | −0.157003 | − | 0.747814i | ||||
\(679\) | −45.9012 | + | 788.093i | −0.0676011 | + | 1.16067i | ||||
\(680\) | −244.836 | − | 105.612i | −0.360052 | − | 0.155311i | ||||
\(681\) | −894.595 | − | 236.524i | −1.31365 | − | 0.347319i | ||||
\(682\) | −8.21227 | − | 140.999i | −0.0120414 | − | 0.206744i | ||||
\(683\) | 437.357 | − | 1201.63i | 0.640346 | − | 1.75934i | −0.0102893 | − | 0.999947i | \(-0.503275\pi\) |
0.650636 | − | 0.759390i | \(-0.274503\pi\) | |||||||
\(684\) | −268.616 | − | 45.5264i | −0.392713 | − | 0.0665590i | ||||
\(685\) | −460.530 | + | 167.619i | −0.672307 | + | 0.244700i | ||||
\(686\) | −330.095 | + | 142.389i | −0.481188 | + | 0.207564i | ||||
\(687\) | −37.3565 | + | 94.9498i | −0.0543762 | + | 0.138209i | ||||
\(688\) | 92.9729 | + | 22.0350i | 0.135135 | + | 0.0320276i | ||||
\(689\) | −24.8227 | + | 104.735i | −0.0360271 | + | 0.152010i | ||||
\(690\) | −628.843 | + | 500.628i | −0.911367 | + | 0.725548i | ||||
\(691\) | 90.3819 | + | 209.529i | 0.130799 | + | 0.303226i | 0.971012 | − | 0.239030i | \(-0.0768296\pi\) |
−0.840213 | + | 0.542256i | \(0.817570\pi\) | |||||||
\(692\) | −119.600 | − | 328.598i | −0.172832 | − | 0.474853i | ||||
\(693\) | 810.544 | + | 288.931i | 1.16962 | + | 0.416927i | ||||
\(694\) | −275.789 | − | 100.379i | −0.397391 | − | 0.144638i | ||||
\(695\) | −800.375 | + | 46.6165i | −1.15162 | + | 0.0670741i | ||||
\(696\) | 395.137 | − | 107.285i | 0.567726 | − | 0.154145i | ||||
\(697\) | 221.680 | − | 513.913i | 0.318049 | − | 0.737321i | ||||
\(698\) | −528.509 | − | 30.7822i | −0.757176 | − | 0.0441005i | ||||
\(699\) | −61.2147 | + | 186.811i | −0.0875747 | + | 0.267255i | ||||
\(700\) | 331.676 | + | 351.556i | 0.473822 | + | 0.502222i | ||||
\(701\) | −44.1583 | − | 25.4948i | −0.0629933 | − | 0.0363692i | 0.468173 | − | 0.883637i | \(-0.344913\pi\) |
−0.531166 | + | 0.847268i | \(0.678246\pi\) | |||||||
\(702\) | −5.98760 | − | 61.3868i | −0.00852935 | − | 0.0874456i | ||||
\(703\) | −476.196 | − | 824.795i | −0.677377 | − | 1.17325i | ||||
\(704\) | −89.5690 | − | 26.8152i | −0.127229 | − | 0.0380898i | ||||
\(705\) | 409.215 | − | 765.009i | 0.580447 | − | 1.08512i | ||||
\(706\) | 466.468 | + | 306.801i | 0.660719 | + | 0.434562i | ||||
\(707\) | 86.2874 | + | 738.236i | 0.122047 | + | 1.04418i | ||||
\(708\) | 164.920 | + | 114.664i | 0.232938 | + | 0.161954i | ||||
\(709\) | −21.9538 | − | 11.0256i | −0.0309645 | − | 0.0155509i | 0.433250 | − | 0.901274i | \(-0.357367\pi\) |
−0.464214 | + | 0.885723i | \(0.653663\pi\) | |||||||
\(710\) | −915.008 | + | 161.341i | −1.28874 | + | 0.227240i | ||||
\(711\) | −584.688 | + | 901.970i | −0.822347 | + | 1.26859i | ||||
\(712\) | −86.3404 | + | 489.661i | −0.121265 | + | 0.687726i | ||||
\(713\) | 175.841 | + | 130.909i | 0.246621 | + | 0.183602i | ||||
\(714\) | −377.870 | − | 231.345i | −0.529230 | − | 0.324012i | ||||
\(715\) | −95.6737 | + | 101.408i | −0.133809 | + | 0.141830i | ||||
\(716\) | 340.634 | − | 101.979i | 0.475746 | − | 0.142429i | ||||
\(717\) | 242.212 | + | 214.113i | 0.337813 | + | 0.298623i | ||||
\(718\) | 305.456 | + | 35.7027i | 0.425426 | + | 0.0497252i | ||||
\(719\) | 295.098 | − | 351.685i | 0.410429 | − | 0.489130i | −0.520741 | − | 0.853714i | \(-0.674344\pi\) |
0.931170 | + | 0.364584i | \(0.118789\pi\) | |||||||
\(720\) | −183.727 | − | 192.166i | −0.255177 | − | 0.266897i | ||||
\(721\) | 15.6614 | − | 13.1415i | 0.0217218 | − | 0.0182268i | ||||
\(722\) | 102.506 | + | 155.853i | 0.141975 | + | 0.215862i | ||||
\(723\) | −405.251 | + | 285.771i | −0.560513 | + | 0.395257i | ||||
\(724\) | 202.936 | + | 272.590i | 0.280298 | + | 0.376505i | ||||
\(725\) | −639.711 | − | 1273.77i | −0.882360 | − | 1.75692i | ||||
\(726\) | 24.6219 | + | 61.3821i | 0.0339145 | + | 0.0845483i | ||||
\(727\) | −451.045 | + | 106.900i | −0.620419 | + | 0.147042i | −0.528792 | − | 0.848751i | \(-0.677355\pi\) |
−0.0916271 | + | 0.995793i | \(0.529207\pi\) | |||||||
\(728\) | − | 37.3766i | − | 0.0513415i | ||||||
\(729\) | −479.628 | − | 548.997i | −0.657926 | − | 0.753083i | ||||
\(730\) | 338.369 | 0.463519 | ||||||||
\(731\) | 70.3205 | + | 296.705i | 0.0961976 | + | 0.405890i | ||||
\(732\) | −544.562 | + | 218.438i | −0.743938 | + | 0.298412i | ||||
\(733\) | 508.507 | − | 255.382i | 0.693734 | − | 0.348406i | −0.0667438 | − | 0.997770i | \(-0.521261\pi\) |
0.760478 | + | 0.649364i | \(0.224965\pi\) | |||||||
\(734\) | 587.763 | − | 437.573i | 0.800766 | − | 0.596148i | ||||
\(735\) | 228.897 | + | 324.598i | 0.311424 | + | 0.441630i | ||||
\(736\) | 121.245 | − | 79.7440i | 0.164735 | − | 0.108348i | ||||
\(737\) | 261.882 | + | 312.099i | 0.355335 | + | 0.423472i | ||||
\(738\) | 403.358 | − | 385.646i | 0.546556 | − | 0.522555i | ||||
\(739\) | 353.663 | + | 296.758i | 0.478569 | + | 0.401567i | 0.849909 | − | 0.526930i | \(-0.176657\pi\) |
−0.371340 | + | 0.928497i | \(0.621101\pi\) | |||||||
\(740\) | 107.894 | − | 923.095i | 0.145803 | − | 1.24743i | ||||
\(741\) | 48.5785 | − | 54.9537i | 0.0655580 | − | 0.0741615i | ||||
\(742\) | 221.110 | + | 738.558i | 0.297991 | + | 0.995361i | ||||
\(743\) | 630.319 | + | 594.676i | 0.848344 | + | 0.800371i | 0.981648 | − | 0.190704i | \(-0.0610771\pi\) |
−0.133304 | + | 0.991075i | \(0.542559\pi\) | |||||||
\(744\) | −37.8607 | + | 61.8403i | −0.0508880 | + | 0.0831187i | ||||
\(745\) | −595.613 | + | 800.048i | −0.799481 | + | 1.07389i | ||||
\(746\) | −512.058 | − | 90.2896i | −0.686405 | − | 0.121032i | ||||
\(747\) | −1052.35 | − | 682.171i | −1.40877 | − | 0.913214i | ||||
\(748\) | −51.8127 | − | 293.844i | −0.0692683 | − | 0.392840i | ||||
\(749\) | 6.66600 | − | 13.2731i | 0.00889987 | − | 0.0177211i | ||||
\(750\) | −81.1956 | + | 116.783i | −0.108261 | + | 0.155711i | ||||
\(751\) | 8.35046 | − | 0.976029i | 0.0111191 | − | 0.00129964i | −0.110532 | − | 0.993873i | \(-0.535255\pi\) |
0.121651 | + | 0.992573i | \(0.461181\pi\) | |||||||
\(752\) | −86.0730 | + | 130.868i | −0.114459 | + | 0.174026i | ||||
\(753\) | −210.499 | − | 112.599i | −0.279547 | − | 0.149534i | ||||
\(754\) | −31.6140 | + | 105.598i | −0.0419283 | + | 0.140050i | ||||
\(755\) | −1776.36 | + | 1025.58i | −2.35280 | + | 1.35839i | ||||
\(756\) | −256.982 | − | 359.334i | −0.339923 | − | 0.475309i | ||||
\(757\) | −288.642 | + | 499.943i | −0.381297 | + | 0.660426i | −0.991248 | − | 0.132013i | \(-0.957856\pi\) |
0.609951 | + | 0.792439i | \(0.291189\pi\) | |||||||
\(758\) | −143.166 | + | 135.070i | −0.188873 | + | 0.178193i | ||||
\(759\) | −854.730 | − | 280.079i | −1.12613 | − | 0.369011i | ||||
\(760\) | 18.3832 | − | 315.627i | 0.0241884 | − | 0.415299i | ||||
\(761\) | 431.783 | + | 186.253i | 0.567388 | + | 0.244747i | 0.660395 | − | 0.750918i | \(-0.270389\pi\) |
−0.0930071 | + | 0.995665i | \(0.529648\pi\) | |||||||
\(762\) | −143.271 | − | 527.676i | −0.188019 | − | 0.692489i | ||||
\(763\) | 73.2325 | + | 1257.35i | 0.0959796 | + | 1.64791i | ||||
\(764\) | 157.717 | − | 433.325i | 0.206436 | − | 0.567179i | ||||
\(765\) | 284.885 | − | 799.194i | 0.372398 | − | 1.04470i | ||||
\(766\) | 109.547 | − | 39.8718i | 0.143012 | − | 0.0520519i | ||||
\(767\) | −49.6533 | + | 21.4183i | −0.0647370 | + | 0.0279248i | ||||
\(768\) | 29.8962 | + | 37.5529i | 0.0389273 | + | 0.0488969i | ||||
\(769\) | 783.510 | + | 185.695i | 1.01887 | + | 0.241476i | 0.705918 | − | 0.708293i | \(-0.250535\pi\) |
0.312950 | + | 0.949770i | \(0.398683\pi\) | |||||||
\(770\) | −230.287 | + | 971.657i | −0.299074 | + | 1.26189i | ||||
\(771\) | −752.821 | − | 296.185i | −0.976421 | − | 0.384157i | ||||
\(772\) | 3.82521 | + | 8.86784i | 0.00495494 | + | 0.0114868i | ||||
\(773\) | −233.571 | − | 641.730i | −0.302161 | − | 0.830181i | −0.994124 | − | 0.108248i | \(-0.965476\pi\) |
0.691963 | − | 0.721933i | \(-0.256746\pi\) | |||||||
\(774\) | −50.8046 | + | 299.759i | −0.0656390 | + | 0.387285i | ||||
\(775\) | 237.203 | + | 86.3348i | 0.306068 | + | 0.111400i | ||||
\(776\) | 272.471 | − | 15.8696i | 0.351122 | − | 0.0204505i | ||||
\(777\) | 394.736 | − | 1492.99i | 0.508026 | − | 1.92148i | ||||
\(778\) | −108.140 | + | 250.698i | −0.138998 | + | 0.322233i | ||||
\(779\) | 662.505 | + | 38.5865i | 0.850456 | + | 0.0495334i | ||||
\(780\) | 70.0476 | − | 14.7064i | 0.0898046 | − | 0.0188544i | ||||
\(781\) | −713.488 | − | 756.253i | −0.913557 | − | 0.968314i | ||||
\(782\) | 401.072 | + | 231.559i | 0.512880 | + | 0.296111i | ||||
\(783\) | 422.105 | + | 1232.57i | 0.539086 | + | 1.57416i | ||||
\(784\) | −35.8548 | − | 62.1024i | −0.0457332 | − | 0.0792123i | ||||
\(785\) | 1381.16 | + | 413.491i | 1.75943 | + | 0.526740i | ||||
\(786\) | −404.298 | − | 650.620i | −0.514374 | − | 0.827760i | ||||
\(787\) | 135.456 | + | 89.0908i | 0.172117 | + | 0.113203i | 0.632645 | − | 0.774442i | \(-0.281969\pi\) |
−0.460528 | + | 0.887645i | \(0.652340\pi\) | |||||||
\(788\) | 52.6944 | + | 450.830i | 0.0668711 | + | 0.572119i | ||||
\(789\) | −100.656 | + | 1196.25i | −0.127574 | + | 1.51616i | ||||
\(790\) | −1114.69 | − | 559.820i | −1.41101 | − | 0.708633i | ||||
\(791\) | 983.801 | − | 173.471i | 1.24374 | − | 0.219305i | ||||
\(792\) | 66.6848 | − | 289.935i | 0.0841980 | − | 0.366080i | ||||
\(793\) | 27.4294 | − | 155.560i | 0.0345895 | − | 0.196167i | ||||
\(794\) | −670.430 | − | 499.116i | −0.844370 | − | 0.628610i | ||||
\(795\) | −1297.13 | + | 704.980i | −1.63162 | + | 0.886767i | ||||
\(796\) | −122.259 | + | 129.587i | −0.153592 | + | 0.162798i | ||||
\(797\) | 946.605 | − | 283.395i | 1.18771 | − | 0.355577i | 0.368805 | − | 0.929507i | \(-0.379767\pi\) |
0.818905 | + | 0.573930i | \(0.194582\pi\) | |||||||
\(798\) | 104.525 | − | 514.844i | 0.130984 | − | 0.645168i | ||||
\(799\) | −496.495 | − | 58.0319i | −0.621395 | − | 0.0726307i | ||||
\(800\) | 107.411 | − | 128.007i | 0.134263 | − | 0.160009i | ||||
\(801\) | −1572.61 | − | 173.230i | −1.96331 | − | 0.216268i | ||||
\(802\) | 407.747 | − | 342.140i | 0.508412 | − | 0.426608i | ||||
\(803\) | 208.066 | + | 316.349i | 0.259111 | + | 0.393959i | ||||
\(804\) | −18.9216 | − | 208.304i | −0.0235344 | − | 0.259085i | ||||
\(805\) | −925.542 | − | 1243.22i | −1.14974 | − | 1.54437i | ||||
\(806\) | −8.76092 | − | 17.4444i | −0.0108696 | − | 0.0216432i | ||||
\(807\) | −555.154 | + | 706.920i | −0.687923 | + | 0.875985i | ||||
\(808\) | 250.044 | − | 59.2616i | 0.309461 | − | 0.0733436i | ||||
\(809\) | − | 665.158i | − | 0.822197i | −0.911591 | − | 0.411099i | \(-0.865145\pi\) | ||
0.911591 | − | 0.411099i | \(-0.134855\pi\) | |||||||
\(810\) | 572.314 | − | 622.996i | 0.706561 | − | 0.769131i | ||||
\(811\) | −594.134 | −0.732595 | −0.366297 | − | 0.930498i | \(-0.619375\pi\) | ||||
−0.366297 | + | 0.930498i | \(0.619375\pi\) | |||||||
\(812\) | 182.074 | + | 768.232i | 0.224229 | + | 0.946098i | ||||
\(813\) | −101.679 | + | 710.611i | −0.125067 | + | 0.874060i | ||||
\(814\) | 929.368 | − | 466.746i | 1.14173 | − | 0.573399i | ||||
\(815\) | −73.8838 | + | 55.0045i | −0.0906550 | + | 0.0674901i | ||||
\(816\) | −64.2763 | + | 139.045i | −0.0787700 | + | 0.170398i | ||||
\(817\) | −302.073 | + | 198.677i | −0.369735 | + | 0.243178i | ||||
\(818\) | 287.442 | + | 342.560i | 0.351396 | + | 0.418778i | ||||
\(819\) | 118.682 | − | 7.70385i | 0.144911 | − | 0.00940641i | ||||
\(820\) | 496.085 | + | 416.264i | 0.604981 | + | 0.507640i | ||||
\(821\) | −69.2517 | + | 592.486i | −0.0843504 | + | 0.721664i | 0.883202 | + | 0.468993i | \(0.155383\pi\) |
−0.967552 | + | 0.252671i | \(0.918691\pi\) | |||||||
\(822\) | 89.4467 | + | 266.962i | 0.108816 | + | 0.324771i | ||||
\(823\) | 336.572 | + | 1124.23i | 0.408958 | + | 1.36601i | 0.876227 | + | 0.481899i | \(0.160053\pi\) |
−0.467269 | + | 0.884115i | \(0.654762\pi\) | |||||||
\(824\) | −5.14136 | − | 4.85062i | −0.00623951 | − | 0.00588668i | ||||
\(825\) | −1035.35 | − | 26.6841i | −1.25497 | − | 0.0323443i | ||||
\(826\) | −231.290 | + | 310.677i | −0.280013 | + | 0.376122i | ||||
\(827\) | 816.946 | + | 144.050i | 0.987842 | + | 0.174183i | 0.644150 | − | 0.764899i | \(-0.277211\pi\) |
0.343692 | + | 0.939082i | \(0.388322\pi\) | |||||||
\(828\) | 278.201 | + | 368.552i | 0.335992 | + | 0.445111i | ||||
\(829\) | 165.309 | + | 937.514i | 0.199408 | + | 1.13090i | 0.906000 | + | 0.423277i | \(0.139120\pi\) |
−0.706593 | + | 0.707620i | \(0.749769\pi\) | |||||||
\(830\) | 653.156 | − | 1300.54i | 0.786935 | − | 1.56692i | ||||
\(831\) | −541.190 | − | 1150.59i | −0.651251 | − | 1.38459i | ||||
\(832\) | −12.8350 | + | 1.50020i | −0.0154267 | + | 0.00180312i | ||||
\(833\) | 125.754 | − | 191.199i | 0.150965 | − | 0.229531i | ||||
\(834\) | 14.9251 | + | 460.342i | 0.0178958 | + | 0.551969i | ||||
\(835\) | −279.952 | + | 935.104i | −0.335271 | + | 1.11988i | ||||
\(836\) | 306.391 | − | 176.895i | 0.366497 | − | 0.211597i | ||||
\(837\) | −204.165 | − | 107.473i | −0.243925 | − | 0.128402i | ||||
\(838\) | 537.321 | − | 930.668i | 0.641195 | − | 1.11058i | ||||
\(839\) | −669.983 | + | 632.097i | −0.798550 | + | 0.753393i | −0.972884 | − | 0.231294i | \(-0.925704\pi\) |
0.174334 | + | 0.984687i | \(0.444223\pi\) | |||||||
\(840\) | 381.831 | − | 342.080i | 0.454561 | − | 0.407238i | ||||
\(841\) | 86.4837 | − | 1484.87i | 0.102834 | − | 1.76560i | ||||
\(842\) | −228.566 | − | 98.5935i | −0.271455 | − | 0.117094i | ||||
\(843\) | 697.431 | − | 702.079i | 0.827320 | − | 0.832834i | ||||
\(844\) | −8.10306 | − | 139.124i | −0.00960078 | − | 0.164839i | ||||
\(845\) | 420.278 | − | 1154.71i | 0.497371 | − | 1.36651i | ||||
\(846\) | −433.285 | − | 246.334i | −0.512157 | − | 0.291175i | ||||
\(847\) | −119.837 | + | 43.6171i | −0.141484 | + | 0.0514960i | ||||
\(848\) | 244.744 | − | 105.572i | 0.288613 | − | 0.124495i | ||||
\(849\) | −386.839 | + | 57.9767i | −0.455641 | + | 0.0682883i | ||||
\(850\) | 518.897 | + | 122.981i | 0.610467 | + | 0.144683i | ||||
\(851\) | −372.258 | + | 1570.68i | −0.437436 | + | 1.84569i | ||||
\(852\) | 79.1141 | + | 527.874i | 0.0928569 | + | 0.619570i | ||||
\(853\) | −150.850 | − | 349.709i | −0.176846 | − | 0.409976i | 0.806619 | − | 0.591071i | \(-0.201295\pi\) |
−0.983465 | + | 0.181096i | \(0.942036\pi\) | |||||||
\(854\) | −386.957 | − | 1063.16i | −0.453111 | − | 1.24491i | ||||
\(855\) | 1006.00 | − | 6.68319i | 1.17661 | − | 0.00781660i | ||||
\(856\) | −4.82550 | − | 1.75634i | −0.00563727 | − | 0.00205180i | ||||
\(857\) | −342.106 | + | 19.9254i | −0.399190 | + | 0.0232502i | −0.256566 | − | 0.966527i | \(-0.582591\pi\) |
−0.142624 | + | 0.989777i | \(0.545554\pi\) | |||||||
\(858\) | 56.8223 | + | 56.4460i | 0.0662264 | + | 0.0657879i | ||||
\(859\) | −162.363 | + | 376.399i | −0.189013 | + | 0.438182i | −0.986202 | − | 0.165548i | \(-0.947061\pi\) |
0.797188 | + | 0.603731i | \(0.206320\pi\) | |||||||
\(860\) | −352.220 | − | 20.5145i | −0.409558 | − | 0.0238541i | ||||
\(861\) | 718.031 | + | 801.468i | 0.833950 | + | 0.930857i | ||||
\(862\) | −118.419 | − | 125.517i | −0.137377 | − | 0.145611i | ||||
\(863\) | 1111.04 | + | 641.459i | 1.28742 | + | 0.743290i | 0.978193 | − | 0.207699i | \(-0.0665976\pi\) |
0.309223 | + | 0.950989i | \(0.399931\pi\) | |||||||
\(864\) | −113.079 | + | 102.670i | −0.130879 | + | 0.118830i | ||||
\(865\) | 645.618 | + | 1118.24i | 0.746379 | + | 1.29277i | ||||
\(866\) | 941.827 | + | 281.965i | 1.08756 | + | 0.325594i | ||||
\(867\) | 377.948 | − | 12.2538i | 0.435926 | − | 0.0141335i | ||||
\(868\) | −116.816 | − | 76.8310i | −0.134581 | − | 0.0885150i | ||||
\(869\) | −162.046 | − | 1386.39i | −0.186474 | − | 1.59539i | ||||
\(870\) | −1368.11 | + | 643.499i | −1.57253 | + | 0.739654i | ||||
\(871\) | 50.3202 | + | 25.2718i | 0.0577729 | + | 0.0290146i | ||||
\(872\) | 428.832 | − | 75.6146i | 0.491780 | − | 0.0867140i | ||||
\(873\) | 106.551 | + | 861.905i | 0.122052 | + | 0.987291i | ||||
\(874\) | −95.3547 | + | 540.783i | −0.109101 | + | 0.618745i | ||||
\(875\) | −219.996 | − | 163.781i | −0.251424 | − | 0.187178i | ||||
\(876\) | 5.00829 | − | 194.324i | 0.00571723 | − | 0.221831i | ||||
\(877\) | 277.760 | − | 294.408i | 0.316716 | − | 0.335699i | −0.549384 | − | 0.835570i | \(-0.685138\pi\) |
0.866100 | + | 0.499871i | \(0.166619\pi\) | |||||||
\(878\) | 895.990 | − | 268.242i | 1.02049 | − | 0.305515i | ||||
\(879\) | 708.444 | − | 237.367i | 0.805966 | − | 0.270042i | ||||
\(880\) | 342.907 | + | 40.0801i | 0.389667 | + | 0.0455456i | ||||
\(881\) | 262.175 | − | 312.448i | 0.297588 | − | 0.354651i | −0.596444 | − | 0.802655i | \(-0.703420\pi\) |
0.894032 | + | 0.448003i | \(0.147865\pi\) | |||||||
\(882\) | 189.803 | − | 126.650i | 0.215197 | − | 0.143594i | ||||
\(883\) | 608.434 | − | 510.537i | 0.689054 | − | 0.578185i | −0.229583 | − | 0.973289i | \(-0.573736\pi\) |
0.918636 | + | 0.395105i | \(0.129292\pi\) | |||||||
\(884\) | −22.6614 | − | 34.4549i | −0.0256350 | − | 0.0389762i | ||||
\(885\) | −673.245 | − | 311.221i | −0.760729 | − | 0.351662i | ||||
\(886\) | 313.238 | + | 420.751i | 0.353542 | + | 0.474889i | ||||
\(887\) | 576.986 | + | 1148.87i | 0.650492 | + | 1.29524i | 0.941014 | + | 0.338367i | \(0.109875\pi\) |
−0.290523 | + | 0.956868i | \(0.593829\pi\) | |||||||
\(888\) | −528.533 | − | 75.6263i | −0.595195 | − | 0.0851648i | ||||
\(889\) | 1025.92 | − | 243.146i | 1.15401 | − | 0.273506i | ||||
\(890\) | − | 1835.99i | − | 2.06291i | ||||||
\(891\) | 934.376 | + | 151.984i | 1.04868 | + | 0.170577i | ||||
\(892\) | 493.759 | 0.553541 | ||||||||
\(893\) | −136.688 | − | 576.732i | −0.153066 | − | 0.645836i | ||||
\(894\) | 450.649 | + | 353.900i | 0.504081 | + | 0.395862i | ||||
\(895\) | −1173.31 | + | 589.258i | −1.31096 | + | 0.658389i | ||||
\(896\) | −74.2417 | + | 55.2709i | −0.0828591 | + | 0.0616863i | ||||
\(897\) | −123.805 | + | 11.2460i | −0.138021 | + | 0.0125374i | ||||
\(898\) | −939.532 | + | 617.940i | −1.04625 | + | 0.688129i | ||||
\(899\) | 265.048 | + | 315.872i | 0.294825 | + | 0.351359i | ||||
\(900\) | 428.599 | + | 314.676i | 0.476221 | + | 0.349640i | ||||
\(901\) | 651.612 | + | 546.768i | 0.723210 | + | 0.606845i | ||||
\(902\) | −84.1286 | + | 719.766i | −0.0932689 | + | 0.797967i | ||||
\(903\) | −574.535 | − | 116.643i | −0.636251 | − | 0.129173i | ||||
\(904\) | −99.0564 | − | 330.872i | −0.109576 | − | 0.366008i | ||||
\(905\) | −912.751 | − | 861.136i | −1.00856 | − | 0.951532i | ||||
\(906\) | 562.696 | + | 1035.34i | 0.621077 | + | 1.14276i | ||||
\(907\) | −904.619 | + | 1215.11i | −0.997375 | + | 1.33971i | −0.0574410 | + | 0.998349i | \(0.518294\pi\) |
−0.939934 | + | 0.341358i | \(0.889113\pi\) | |||||||
\(908\) | −607.518 | − | 107.122i | −0.669072 | − | 0.117976i | ||||
\(909\) | 239.711 | + | 781.751i | 0.263709 | + | 0.860012i | ||||
\(910\) | 23.9660 | + | 135.918i | 0.0263363 | + | 0.149360i | ||||
\(911\) | −425.585 | + | 847.409i | −0.467162 | + | 0.930196i | 0.529480 | + | 0.848322i | \(0.322387\pi\) |
−0.996643 | + | 0.0818742i | \(0.973909\pi\) | |||||||
\(912\) | −180.991 | − | 15.2291i | −0.198455 | − | 0.0166986i | ||||
\(913\) | 1617.54 | − | 189.063i | 1.77167 | − | 0.207079i | ||||
\(914\) | 286.000 | − | 434.842i | 0.312910 | − | 0.475757i | ||||
\(915\) | 1840.21 | − | 1143.51i | 2.01116 | − | 1.24974i | ||||
\(916\) | −19.5092 | + | 65.1651i | −0.0212982 | + | 0.0711410i | ||||
\(917\) | 1279.17 | − | 738.528i | 1.39495 | − | 0.805374i | ||||
\(918\) | −454.758 | − | 175.437i | −0.495379 | − | 0.191108i | ||||
\(919\) | −128.998 | + | 223.431i | −0.140367 | + | 0.243124i | −0.927635 | − | 0.373488i | \(-0.878162\pi\) |
0.787268 | + | 0.616612i | \(0.211495\pi\) | |||||||
\(920\) | −389.769 | + | 367.728i | −0.423661 | + | 0.399704i | ||||
\(921\) | 284.051 | + | 1352.95i | 0.308416 | + | 1.46901i | ||||
\(922\) | −0.608555 | + | 10.4485i | −0.000660038 | + | 0.0113324i | ||||
\(923\) | −131.947 | − | 56.9165i | −0.142955 | − | 0.0616646i | ||||
\(924\) | 554.610 | + | 146.635i | 0.600228 | + | 0.158696i | ||||
\(925\) | 108.074 | + | 1855.56i | 0.116837 | + | 2.00602i | ||||
\(926\) | −116.252 | + | 319.400i | −0.125542 | + | 0.344924i | ||||
\(927\) | 14.3425 | − | 17.3251i | 0.0154719 | − | 0.0186895i | ||||
\(928\) | 256.500 | − | 93.3585i | 0.276401 | − | 0.100602i | ||||
\(929\) | 993.303 | − | 428.469i | 1.06922 | − | 0.461215i | 0.212585 | − | 0.977143i | \(-0.431812\pi\) |
0.856632 | + | 0.515927i | \(0.172553\pi\) | |||||||
\(930\) | 98.0262 | − | 249.156i | 0.105405 | − | 0.267909i | ||||
\(931\) | 264.034 | + | 62.5771i | 0.283602 | + | 0.0672149i | ||||
\(932\) | −30.2238 | + | 127.524i | −0.0324290 | + | 0.136829i | ||||
\(933\) | 315.267 | − | 250.987i | 0.337906 | − | 0.269011i | ||||
\(934\) | −83.8825 | − | 194.461i | −0.0898099 | − | 0.208203i | ||||
\(935\) | 376.828 | + | 1035.33i | 0.403025 | + | 1.10730i | ||||
\(936\) | −7.40905 | − | 40.4457i | −0.00791565 | − | 0.0432113i | ||||
\(937\) | −769.674 | − | 280.138i | −0.821423 | − | 0.298974i | −0.103089 | − | 0.994672i | \(-0.532873\pi\) |
−0.718334 | + | 0.695698i | \(0.755095\pi\) | |||||||
\(938\) | 402.636 | − | 23.4509i | 0.429249 | − | 0.0250009i | ||||
\(939\) | −812.636 | + | 220.641i | −0.865427 | + | 0.234974i | ||||
\(940\) | 229.087 | − | 531.084i | 0.243710 | − | 0.564983i | ||||
\(941\) | −1522.24 | − | 88.6605i | −1.61769 | − | 0.0942195i | −0.774762 | − | 0.632253i | \(-0.782131\pi\) |
−0.842924 | + | 0.538033i | \(0.819168\pi\) | |||||||
\(942\) | 257.909 | − | 787.073i | 0.273789 | − | 0.835534i | ||||
\(943\) | −771.865 | − | 818.129i | −0.818521 | − | 0.867581i | ||||
\(944\) | 115.969 | + | 66.9547i | 0.122848 | + | 0.0709265i | ||||
\(945\) | 1164.91 | + | 1141.92i | 1.23271 | + | 1.20838i | ||||
\(946\) | −197.404 | − | 341.914i | −0.208672 | − | 0.361431i | ||||
\(947\) | −933.660 | − | 279.520i | −0.985914 | − | 0.295163i | −0.247039 | − | 0.969006i | \(-0.579458\pi\) |
−0.738875 | + | 0.673842i | \(0.764643\pi\) | |||||||
\(948\) | −338.002 | + | 631.879i | −0.356542 | + | 0.666539i | ||||
\(949\) | 43.7232 | + | 28.7572i | 0.0460729 | + | 0.0303026i | ||||
\(950\) | 73.4064 | + | 628.032i | 0.0772698 | + | 0.661086i | ||||
\(951\) | −1090.73 | − | 758.350i | −1.14693 | − | 0.797424i | ||||
\(952\) | −263.958 | − | 132.565i | −0.277267 | − | 0.139249i | ||||
\(953\) | 500.114 | − | 88.1836i | 0.524778 | − | 0.0925326i | 0.0950180 | − | 0.995476i | \(-0.469709\pi\) |
0.429760 | + | 0.902943i | \(0.358598\pi\) | |||||||
\(954\) | 385.668 | + | 755.374i | 0.404264 | + | 0.791797i | ||||
\(955\) | −295.681 | + | 1676.89i | −0.309614 | + | 1.75591i | ||||
\(956\) | 172.874 | + | 128.700i | 0.180831 | + | 0.134624i | ||||
\(957\) | −1442.88 | − | 883.381i | −1.50771 | − | 0.923073i | ||||
\(958\) | 527.449 | − | 559.063i | 0.550573 | − | 0.583573i | ||||
\(959\) | −520.091 | + | 155.705i | −0.542326 | + | 0.162362i | ||||
\(960\) | −132.795 | − | 117.389i | −0.138328 | − | 0.122281i | ||||
\(961\) | 881.973 | + | 103.088i | 0.917766 | + | 0.107271i | ||||
\(962\) | 92.3936 | − | 110.110i | 0.0960433 | − | 0.114460i | ||||
\(963\) | 4.58229 | − | 15.6844i | 0.00475835 | − | 0.0162870i | ||||
\(964\) | −253.242 | + | 212.495i | −0.262699 | + | 0.220431i | ||||
\(965\) | −19.5963 | − | 29.7947i | −0.0203070 | − | 0.0308753i | ||||
\(966\) | −727.675 | + | 513.134i | −0.753287 | + | 0.531195i | ||||
\(967\) | 774.424 | + | 1040.23i | 0.800852 | + | 1.07573i | 0.995491 | + | 0.0948562i | \(0.0302391\pi\) |
−0.194639 | + | 0.980875i | \(0.562353\pi\) | |||||||
\(968\) | 19.7879 | + | 39.4010i | 0.0204421 | + | 0.0407035i | ||||
\(969\) | −215.795 | − | 537.973i | −0.222699 | − | 0.555184i | ||||
\(970\) | −980.651 | + | 232.418i | −1.01098 | + | 0.239607i | ||||
\(971\) | − | 1049.69i | − | 1.08104i | −0.841332 | − | 0.540518i | \(-0.818228\pi\) | ||
0.841332 | − | 0.540518i | \(-0.181772\pi\) | |||||||
\(972\) | −349.314 | − | 337.899i | −0.359376 | − | 0.347633i | ||||
\(973\) | −888.127 | −0.912772 | ||||||||
\(974\) | −133.624 | − | 563.805i | −0.137191 | − | 0.578855i | ||||
\(975\) | −132.856 | + | 53.2918i | −0.136262 | + | 0.0546583i | ||||
\(976\) | −349.553 | + | 175.552i | −0.358149 | + | 0.179869i | ||||
\(977\) | 73.4306 | − | 54.6670i | 0.0751592 | − | 0.0559540i | −0.558923 | − | 0.829219i | \(-0.688785\pi\) |
0.634082 | + | 0.773265i | \(0.281378\pi\) | |||||||
\(978\) | 30.4953 | + | 43.2454i | 0.0311813 | + | 0.0442182i | ||||
\(979\) | 1716.51 | − | 1128.97i | 1.75333 | − | 1.15318i | ||||
\(980\) | 170.205 | + | 202.842i | 0.173678 | + | 0.206982i | ||||
\(981\) | 328.487 | + | 1346.08i | 0.334849 | + | 1.37215i | ||||
\(982\) | −69.0451 | − | 57.9357i | −0.0703107 | − | 0.0589977i | ||||
\(983\) | 140.007 | − | 1197.84i | 0.142428 | − | 1.21855i | −0.713200 | − | 0.700960i | \(-0.752755\pi\) |
0.855628 | − | 0.517591i | \(-0.173171\pi\) | |||||||
\(984\) | 246.402 | − | 278.738i | 0.250408 | − | 0.283271i | ||||
\(985\) | −480.694 | − | 1605.63i | −0.488014 | − | 1.63008i | ||||
\(986\) | 633.619 | + | 597.789i | 0.642616 | + | 0.606277i | ||||
\(987\) | 501.820 | − | 819.655i | 0.508430 | − | 0.830451i | ||||
\(988\) | 29.1999 | − | 39.2222i | 0.0295545 | − | 0.0396986i | ||||
\(989\) | 603.481 | + | 106.410i | 0.610193 | + | 0.107593i | ||||
\(990\) | −56.5881 | + | 1097.09i | −0.0571597 | + | 1.10817i | ||||
\(991\) | 267.812 | + | 1518.84i | 0.270245 | + | 1.53263i | 0.753673 | + | 0.657249i | \(0.228280\pi\) |
−0.483429 | + | 0.875384i | \(0.660609\pi\) | |||||||
\(992\) | −21.6949 | + | 43.1980i | −0.0218698 | + | 0.0435464i | ||||
\(993\) | 139.294 | − | 200.346i | 0.140276 | − | 0.201758i | ||||
\(994\) | −1022.29 | + | 119.488i | −1.02846 | + | 0.120210i | ||||
\(995\) | 361.498 | − | 549.631i | 0.363314 | − | 0.552393i | ||||
\(996\) | −737.229 | − | 394.355i | −0.740190 | − | 0.395939i | ||||
\(997\) | 285.300 | − | 952.968i | 0.286158 | − | 0.955836i | −0.687185 | − | 0.726483i | \(-0.741154\pi\) |
0.973343 | − | 0.229353i | \(-0.0736611\pi\) | |||||||
\(998\) | 505.521 | − | 291.863i | 0.506534 | − | 0.292447i | ||||
\(999\) | 131.198 | − | 1693.84i | 0.131329 | − | 1.69553i |
(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 | 162.3.h.a.5.11 | ✓ | 324 | |
81.65 | odd | 54 | inner | 162.3.h.a.65.11 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.3.h.a.5.11 | ✓ | 324 | 1.1 | even | 1 | trivial | |
162.3.h.a.65.11 | yes | 324 | 81.65 | odd | 54 | inner |