Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(11,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.s (of order \(6\), degree \(2\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.20 | ||
Character | \(\chi\) | \(=\) | 210.11 |
Dual form | 210.3.s.a.191.20 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22474 | − | 0.707107i | 0.612372 | − | 0.353553i | ||||
\(3\) | 2.87355 | − | 0.861812i | 0.957849 | − | 0.287271i | ||||
\(4\) | 1.00000 | − | 1.73205i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.93649 | − | 1.11803i | 0.387298 | − | 0.223607i | ||||
\(6\) | 2.90997 | − | 3.08741i | 0.484995 | − | 0.514568i | ||||
\(7\) | 0.399356 | + | 6.98860i | 0.0570508 | + | 0.998371i | ||||
\(8\) | − | 2.82843i | − | 0.353553i | ||||||
\(9\) | 7.51456 | − | 4.95292i | 0.834951 | − | 0.550324i | ||||
\(10\) | 1.58114 | − | 2.73861i | 0.158114 | − | 0.273861i | ||||
\(11\) | −0.415399 | − | 0.239831i | −0.0377635 | − | 0.0218028i | 0.480999 | − | 0.876721i | \(-0.340274\pi\) |
−0.518763 | + | 0.854918i | \(0.673607\pi\) | |||||||
\(12\) | 1.38085 | − | 5.83894i | 0.115070 | − | 0.486579i | ||||
\(13\) | 8.95456 | 0.688812 | 0.344406 | − | 0.938821i | \(-0.388080\pi\) | ||||
0.344406 | + | 0.938821i | \(0.388080\pi\) | |||||||
\(14\) | 5.43079 | + | 8.27686i | 0.387914 | + | 0.591205i | ||||
\(15\) | 4.60107 | − | 4.88162i | 0.306738 | − | 0.325441i | ||||
\(16\) | −2.00000 | − | 3.46410i | −0.125000 | − | 0.216506i | ||||
\(17\) | −22.6674 | − | 13.0870i | −1.33338 | − | 0.769826i | −0.347562 | − | 0.937657i | \(-0.612990\pi\) |
−0.985816 | + | 0.167831i | \(0.946324\pi\) | |||||||
\(18\) | 5.70117 | − | 11.3797i | 0.316732 | − | 0.632203i | ||||
\(19\) | 1.48682 | + | 2.57526i | 0.0782539 | + | 0.135540i | 0.902497 | − | 0.430697i | \(-0.141732\pi\) |
−0.824243 | + | 0.566237i | \(0.808399\pi\) | |||||||
\(20\) | − | 4.47214i | − | 0.223607i | ||||||
\(21\) | 7.17043 | + | 19.7379i | 0.341449 | + | 0.939900i | ||||
\(22\) | −0.678344 | −0.0308338 | ||||||||
\(23\) | −27.1234 | + | 15.6597i | −1.17928 | + | 0.680856i | −0.955847 | − | 0.293864i | \(-0.905059\pi\) |
−0.223430 | + | 0.974720i | \(0.571725\pi\) | |||||||
\(24\) | −2.43757 | − | 8.12762i | −0.101566 | − | 0.338651i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | 10.9671 | − | 6.33183i | 0.421810 | − | 0.243532i | ||||
\(27\) | 17.3250 | − | 20.7086i | 0.641665 | − | 0.766985i | ||||
\(28\) | 12.5040 | + | 6.29689i | 0.446570 | + | 0.224889i | ||||
\(29\) | − | 22.9607i | − | 0.791749i | −0.918305 | − | 0.395874i | \(-0.870442\pi\) | ||
0.918305 | − | 0.395874i | \(-0.129558\pi\) | |||||||
\(30\) | 2.18331 | − | 9.23218i | 0.0727769 | − | 0.307739i | ||||
\(31\) | −19.2316 | + | 33.3101i | −0.620375 | + | 1.07452i | 0.369041 | + | 0.929413i | \(0.379686\pi\) |
−0.989416 | + | 0.145107i | \(0.953647\pi\) | |||||||
\(32\) | −4.89898 | − | 2.82843i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −1.40036 | − | 0.331169i | −0.0424351 | − | 0.0100354i | ||||
\(34\) | −37.0157 | −1.08870 | ||||||||
\(35\) | 8.58684 | + | 13.0869i | 0.245338 | + | 0.373911i | ||||
\(36\) | −1.06415 | − | 17.9685i | −0.0295597 | − | 0.499125i | ||||
\(37\) | 19.3588 | + | 33.5305i | 0.523212 | + | 0.906230i | 0.999635 | + | 0.0270135i | \(0.00859971\pi\) |
−0.476423 | + | 0.879216i | \(0.658067\pi\) | |||||||
\(38\) | 3.64196 | + | 2.10269i | 0.0958411 | + | 0.0553339i | ||||
\(39\) | 25.7314 | − | 7.71715i | 0.659779 | − | 0.197876i | ||||
\(40\) | −3.16228 | − | 5.47723i | −0.0790569 | − | 0.136931i | ||||
\(41\) | 15.5940i | 0.380341i | 0.981751 | + | 0.190170i | \(0.0609041\pi\) | ||||
−0.981751 | + | 0.190170i | \(0.939096\pi\) | |||||||
\(42\) | 22.7388 | + | 19.1036i | 0.541399 | + | 0.454849i | ||||
\(43\) | 11.0661 | 0.257352 | 0.128676 | − | 0.991687i | \(-0.458927\pi\) | ||||
0.128676 | + | 0.991687i | \(0.458927\pi\) | |||||||
\(44\) | −0.830798 | + | 0.479661i | −0.0188818 | + | 0.0109014i | ||||
\(45\) | 9.01435 | − | 17.9928i | 0.200319 | − | 0.399840i | ||||
\(46\) | −22.1461 | + | 38.3582i | −0.481438 | + | 0.833875i | ||||
\(47\) | 15.0347 | − | 8.68028i | 0.319887 | − | 0.184687i | −0.331455 | − | 0.943471i | \(-0.607540\pi\) |
0.651342 | + | 0.758784i | \(0.274206\pi\) | |||||||
\(48\) | −8.73250 | − | 8.23064i | −0.181927 | − | 0.171472i | ||||
\(49\) | −48.6810 | + | 5.58187i | −0.993490 | + | 0.113916i | ||||
\(50\) | − | 7.07107i | − | 0.141421i | ||||||
\(51\) | −76.4145 | − | 18.0712i | −1.49832 | − | 0.354337i | ||||
\(52\) | 8.95456 | − | 15.5098i | 0.172203 | − | 0.298265i | ||||
\(53\) | −17.5005 | − | 10.1039i | −0.330198 | − | 0.190640i | 0.325731 | − | 0.945463i | \(-0.394390\pi\) |
−0.655929 | + | 0.754822i | \(0.727723\pi\) | |||||||
\(54\) | 6.57547 | − | 37.6133i | 0.121768 | − | 0.696543i | ||||
\(55\) | −1.07256 | −0.0195010 | ||||||||
\(56\) | 19.7667 | − | 1.12955i | 0.352978 | − | 0.0201705i | ||||
\(57\) | 6.49185 | + | 6.11876i | 0.113892 | + | 0.107347i | ||||
\(58\) | −16.2357 | − | 28.1210i | −0.279925 | − | 0.484845i | ||||
\(59\) | −8.37908 | − | 4.83766i | −0.142018 | − | 0.0819943i | 0.427307 | − | 0.904106i | \(-0.359462\pi\) |
−0.569326 | + | 0.822112i | \(0.692796\pi\) | |||||||
\(60\) | −3.85414 | − | 12.8509i | −0.0642357 | − | 0.214182i | ||||
\(61\) | 29.9655 | + | 51.9018i | 0.491238 | + | 0.850849i | 0.999949 | − | 0.0100880i | \(-0.00321118\pi\) |
−0.508711 | + | 0.860937i | \(0.669878\pi\) | |||||||
\(62\) | 54.3952i | 0.877342i | ||||||||
\(63\) | 37.6149 | + | 50.5383i | 0.597063 | + | 0.802195i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 17.3404 | − | 10.0115i | 0.266776 | − | 0.154023i | ||||
\(66\) | −1.94925 | + | 0.584605i | −0.0295341 | + | 0.00885765i | ||||
\(67\) | 30.1126 | − | 52.1565i | 0.449442 | − | 0.778456i | −0.548908 | − | 0.835883i | \(-0.684956\pi\) |
0.998350 | + | 0.0574269i | \(0.0182896\pi\) | |||||||
\(68\) | −45.3348 | + | 26.1741i | −0.666689 | + | 0.384913i | ||||
\(69\) | −64.4446 | + | 68.3741i | −0.933979 | + | 0.990929i | ||||
\(70\) | 19.7705 | + | 9.95626i | 0.282436 | + | 0.142232i | ||||
\(71\) | 39.3314i | 0.553964i | 0.960875 | + | 0.276982i | \(0.0893342\pi\) | ||||
−0.960875 | + | 0.276982i | \(0.910666\pi\) | |||||||
\(72\) | −14.0090 | − | 21.2544i | −0.194569 | − | 0.295200i | ||||
\(73\) | −71.7959 | + | 124.354i | −0.983506 | + | 1.70348i | −0.335110 | + | 0.942179i | \(0.608774\pi\) |
−0.648396 | + | 0.761304i | \(0.724560\pi\) | |||||||
\(74\) | 47.4193 | + | 27.3775i | 0.640801 | + | 0.369967i | ||||
\(75\) | 3.45211 | − | 14.5974i | 0.0460282 | − | 0.194631i | ||||
\(76\) | 5.94730 | 0.0782539 | ||||||||
\(77\) | 1.51019 | − | 2.99883i | 0.0196128 | − | 0.0389459i | ||||
\(78\) | 26.0575 | − | 27.6464i | 0.334071 | − | 0.354441i | ||||
\(79\) | −60.9696 | − | 105.602i | −0.771767 | − | 1.33674i | −0.936594 | − | 0.350418i | \(-0.886040\pi\) |
0.164826 | − | 0.986323i | \(-0.447294\pi\) | |||||||
\(80\) | −7.74597 | − | 4.47214i | −0.0968246 | − | 0.0559017i | ||||
\(81\) | 31.9372 | − | 74.4380i | 0.394286 | − | 0.918988i | ||||
\(82\) | 11.0266 | + | 19.0986i | 0.134471 | + | 0.232910i | ||||
\(83\) | 108.816i | 1.31104i | 0.755179 | + | 0.655519i | \(0.227550\pi\) | ||||
−0.755179 | + | 0.655519i | \(0.772450\pi\) | |||||||
\(84\) | 41.3575 | + | 7.31836i | 0.492351 | + | 0.0871233i | ||||
\(85\) | −58.5270 | −0.688553 | ||||||||
\(86\) | 13.5532 | − | 7.82494i | 0.157595 | − | 0.0909877i | ||||
\(87\) | −19.7878 | − | 65.9787i | −0.227446 | − | 0.758376i | ||||
\(88\) | −0.678344 | + | 1.17493i | −0.00770845 | + | 0.0133514i | ||||
\(89\) | 106.077 | − | 61.2436i | 1.19188 | − | 0.688130i | 0.233144 | − | 0.972442i | \(-0.425099\pi\) |
0.958732 | + | 0.284312i | \(0.0917652\pi\) | |||||||
\(90\) | −1.68257 | − | 28.4107i | −0.0186952 | − | 0.315675i | ||||
\(91\) | 3.57605 | + | 62.5798i | 0.0392973 | + | 0.687691i | ||||
\(92\) | 62.6387i | 0.680856i | ||||||||
\(93\) | −26.5559 | + | 112.292i | −0.285547 | + | 1.20744i | ||||
\(94\) | 12.2758 | − | 21.2623i | 0.130593 | − | 0.226194i | ||||
\(95\) | 5.75845 | + | 3.32464i | 0.0606152 | + | 0.0349962i | ||||
\(96\) | −16.5150 | − | 3.90562i | −0.172032 | − | 0.0406835i | ||||
\(97\) | −147.174 | −1.51725 | −0.758627 | − | 0.651525i | \(-0.774129\pi\) | ||||
−0.758627 | + | 0.651525i | \(0.774129\pi\) | |||||||
\(98\) | −55.6749 | + | 41.2591i | −0.568111 | + | 0.421011i | ||||
\(99\) | −4.30940 | + | 0.255216i | −0.0435293 | + | 0.00257794i | ||||
\(100\) | −5.00000 | − | 8.66025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | −109.527 | − | 63.2355i | −1.08443 | − | 0.626094i | −0.152340 | − | 0.988328i | \(-0.548681\pi\) |
−0.932087 | + | 0.362234i | \(0.882014\pi\) | |||||||
\(102\) | −106.367 | + | 31.9006i | −1.04281 | + | 0.312751i | ||||
\(103\) | 71.2687 | + | 123.441i | 0.691929 | + | 1.19846i | 0.971205 | + | 0.238246i | \(0.0765723\pi\) |
−0.279276 | + | 0.960211i | \(0.590094\pi\) | |||||||
\(104\) | − | 25.3273i | − | 0.243532i | ||||||
\(105\) | 35.9531 | + | 30.2055i | 0.342411 | + | 0.287671i | ||||
\(106\) | −28.5782 | −0.269606 | ||||||||
\(107\) | 30.3300 | − | 17.5110i | 0.283458 | − | 0.163654i | −0.351530 | − | 0.936177i | \(-0.614339\pi\) |
0.634988 | + | 0.772522i | \(0.281005\pi\) | |||||||
\(108\) | −18.5434 | − | 50.7163i | −0.171698 | − | 0.469595i | ||||
\(109\) | 75.1904 | − | 130.234i | 0.689821 | − | 1.19480i | −0.282075 | − | 0.959392i | \(-0.591023\pi\) |
0.971896 | − | 0.235412i | \(-0.0756439\pi\) | |||||||
\(110\) | −1.31361 | + | 0.758411i | −0.0119419 | + | 0.00689465i | ||||
\(111\) | 84.5256 | + | 79.6678i | 0.761492 | + | 0.717728i | ||||
\(112\) | 23.4105 | − | 15.3606i | 0.209022 | − | 0.137148i | ||||
\(113\) | − | 158.759i | − | 1.40495i | −0.711710 | − | 0.702474i | \(-0.752079\pi\) | ||
0.711710 | − | 0.702474i | \(-0.247921\pi\) | |||||||
\(114\) | 12.2775 | + | 2.90349i | 0.107697 | + | 0.0254692i | ||||
\(115\) | −35.0161 | + | 60.6497i | −0.304488 | + | 0.527389i | ||||
\(116\) | −39.7691 | − | 22.9607i | −0.342837 | − | 0.197937i | ||||
\(117\) | 67.2896 | − | 44.3512i | 0.575125 | − | 0.379070i | ||||
\(118\) | −13.6830 | −0.115957 | ||||||||
\(119\) | 82.4077 | − | 163.640i | 0.692502 | − | 1.37512i | ||||
\(120\) | −13.8073 | − | 13.0138i | −0.115061 | − | 0.108448i | ||||
\(121\) | −60.3850 | − | 104.590i | −0.499049 | − | 0.864379i | ||||
\(122\) | 73.4002 | + | 42.3776i | 0.601641 | + | 0.347358i | ||||
\(123\) | 13.4391 | + | 44.8101i | 0.109261 | + | 0.364309i | ||||
\(124\) | 38.4632 | + | 66.6203i | 0.310187 | + | 0.537260i | ||||
\(125\) | − | 11.1803i | − | 0.0894427i | ||||||
\(126\) | 81.8047 | + | 35.2987i | 0.649243 | + | 0.280148i | ||||
\(127\) | 131.283 | 1.03373 | 0.516863 | − | 0.856068i | \(-0.327100\pi\) | ||||
0.516863 | + | 0.856068i | \(0.327100\pi\) | |||||||
\(128\) | −9.79796 | + | 5.65685i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 31.7991 | − | 9.53694i | 0.246505 | − | 0.0739297i | ||||
\(130\) | 14.1584 | − | 24.5231i | 0.108911 | − | 0.188639i | ||||
\(131\) | 64.4279 | − | 37.1975i | 0.491816 | − | 0.283950i | −0.233511 | − | 0.972354i | \(-0.575022\pi\) |
0.725328 | + | 0.688404i | \(0.241688\pi\) | |||||||
\(132\) | −1.97396 | + | 2.09432i | −0.0149542 | + | 0.0158661i | ||||
\(133\) | −17.4037 | + | 11.4193i | −0.130855 | + | 0.0858591i | ||||
\(134\) | − | 85.1713i | − | 0.635607i | ||||||
\(135\) | 10.3967 | − | 59.4719i | 0.0770128 | − | 0.440533i | ||||
\(136\) | −37.0157 | + | 64.1131i | −0.272175 | + | 0.471420i | ||||
\(137\) | −82.9174 | − | 47.8724i | −0.605237 | − | 0.349434i | 0.165862 | − | 0.986149i | \(-0.446959\pi\) |
−0.771099 | + | 0.636715i | \(0.780293\pi\) | |||||||
\(138\) | −30.5804 | + | 129.310i | −0.221597 | + | 0.937029i | ||||
\(139\) | 78.8031 | 0.566929 | 0.283464 | − | 0.958983i | \(-0.408516\pi\) | ||||
0.283464 | + | 0.958983i | \(0.408516\pi\) | |||||||
\(140\) | 31.2540 | − | 1.78597i | 0.223243 | − | 0.0127569i | ||||
\(141\) | 35.7221 | − | 37.9003i | 0.253348 | − | 0.268796i | ||||
\(142\) | 27.8115 | + | 48.1710i | 0.195856 | + | 0.339232i | ||||
\(143\) | −3.71972 | − | 2.14758i | −0.0260120 | − | 0.0150180i | ||||
\(144\) | −32.1865 | − | 16.1254i | −0.223518 | − | 0.111982i | ||||
\(145\) | −25.6709 | − | 44.4632i | −0.177040 | − | 0.306643i | ||||
\(146\) | 203.070i | 1.39089i | ||||||||
\(147\) | −135.077 | + | 57.9937i | −0.918890 | + | 0.394515i | ||||
\(148\) | 77.4354 | 0.523212 | ||||||||
\(149\) | 186.625 | − | 107.748i | 1.25252 | − | 0.723142i | 0.280910 | − | 0.959734i | \(-0.409364\pi\) |
0.971609 | + | 0.236592i | \(0.0760305\pi\) | |||||||
\(150\) | −6.09393 | − | 20.3191i | −0.0406262 | − | 0.135460i | ||||
\(151\) | 98.0279 | − | 169.789i | 0.649191 | − | 1.12443i | −0.334125 | − | 0.942529i | \(-0.608441\pi\) |
0.983316 | − | 0.181903i | \(-0.0582258\pi\) | |||||||
\(152\) | 7.28392 | − | 4.20538i | 0.0479206 | − | 0.0276669i | ||||
\(153\) | −235.155 | + | 13.9266i | −1.53696 | + | 0.0910233i | ||||
\(154\) | −0.270900 | − | 4.74067i | −0.00175909 | − | 0.0307836i | ||||
\(155\) | 86.0064i | 0.554880i | ||||||||
\(156\) | 12.3649 | − | 52.2852i | 0.0792619 | − | 0.335161i | ||||
\(157\) | 121.644 | − | 210.693i | 0.774801 | − | 1.34199i | −0.160106 | − | 0.987100i | \(-0.551184\pi\) |
0.934906 | − | 0.354894i | \(-0.115483\pi\) | |||||||
\(158\) | −149.344 | − | 86.2241i | −0.945218 | − | 0.545722i | ||||
\(159\) | −58.9963 | − | 13.9520i | −0.371046 | − | 0.0877482i | ||||
\(160\) | −12.6491 | −0.0790569 | ||||||||
\(161\) | −120.271 | − | 183.301i | −0.747025 | − | 1.13851i | ||||
\(162\) | −13.5207 | − | 113.751i | −0.0834613 | − | 0.702164i | ||||
\(163\) | 68.4177 | + | 118.503i | 0.419740 | + | 0.727012i | 0.995913 | − | 0.0903163i | \(-0.0287878\pi\) |
−0.576173 | + | 0.817328i | \(0.695454\pi\) | |||||||
\(164\) | 27.0096 | + | 15.5940i | 0.164692 | + | 0.0950852i | ||||
\(165\) | −3.08204 | + | 0.924342i | −0.0186790 | + | 0.00560207i | ||||
\(166\) | 76.9446 | + | 133.272i | 0.463522 | + | 0.802843i | ||||
\(167\) | 232.181i | 1.39030i | 0.718863 | + | 0.695152i | \(0.244663\pi\) | ||||
−0.718863 | + | 0.695152i | \(0.755337\pi\) | |||||||
\(168\) | 55.8272 | − | 20.2810i | 0.332305 | − | 0.120720i | ||||
\(169\) | −88.8158 | −0.525537 | ||||||||
\(170\) | −71.6807 | + | 41.3849i | −0.421651 | + | 0.243440i | ||||
\(171\) | 23.9279 | + | 11.9878i | 0.139929 | + | 0.0701040i | ||||
\(172\) | 11.0661 | − | 19.1671i | 0.0643380 | − | 0.111437i | ||||
\(173\) | 111.605 | − | 64.4351i | 0.645115 | − | 0.372457i | −0.141467 | − | 0.989943i | \(-0.545182\pi\) |
0.786582 | + | 0.617486i | \(0.211849\pi\) | |||||||
\(174\) | −70.8890 | − | 66.8150i | −0.407408 | − | 0.383994i | ||||
\(175\) | 31.2599 | + | 15.7422i | 0.178628 | + | 0.0899556i | ||||
\(176\) | 1.91865i | 0.0109014i | ||||||||
\(177\) | −28.2469 | − | 6.68007i | −0.159587 | − | 0.0377405i | ||||
\(178\) | 86.6115 | − | 150.015i | 0.486581 | − | 0.842784i | ||||
\(179\) | −274.135 | − | 158.272i | −1.53148 | − | 0.884200i | −0.999294 | − | 0.0375712i | \(-0.988038\pi\) |
−0.532185 | − | 0.846628i | \(-0.678629\pi\) | |||||||
\(180\) | −22.1501 | − | 33.6061i | −0.123056 | − | 0.186701i | ||||
\(181\) | 96.2620 | 0.531834 | 0.265917 | − | 0.963996i | \(-0.414325\pi\) | ||||
0.265917 | + | 0.963996i | \(0.414325\pi\) | |||||||
\(182\) | 48.6304 | + | 74.1157i | 0.267200 | + | 0.407229i | ||||
\(183\) | 130.837 | + | 123.318i | 0.714956 | + | 0.673867i | ||||
\(184\) | 44.2923 | + | 76.7165i | 0.240719 | + | 0.416937i | ||||
\(185\) | 74.9765 | + | 43.2877i | 0.405278 | + | 0.233987i | ||||
\(186\) | 46.8785 | + | 156.307i | 0.252035 | + | 0.840362i | ||||
\(187\) | 6.27735 | + | 10.8727i | 0.0335687 | + | 0.0581427i | ||||
\(188\) | − | 34.7211i | − | 0.184687i | ||||||
\(189\) | 151.643 | + | 112.807i | 0.802343 | + | 0.596863i | ||||
\(190\) | 9.40351 | 0.0494921 | ||||||||
\(191\) | 30.4006 | − | 17.5518i | 0.159166 | − | 0.0918943i | −0.418302 | − | 0.908308i | \(-0.637374\pi\) |
0.577467 | + | 0.816414i | \(0.304041\pi\) | |||||||
\(192\) | −22.9884 | + | 6.89450i | −0.119731 | + | 0.0359089i | ||||
\(193\) | 125.112 | − | 216.701i | 0.648250 | − | 1.12280i | −0.335291 | − | 0.942115i | \(-0.608835\pi\) |
0.983541 | − | 0.180687i | \(-0.0578321\pi\) | |||||||
\(194\) | −180.250 | + | 104.067i | −0.929124 | + | 0.536430i | ||||
\(195\) | 41.2005 | − | 43.7127i | 0.211285 | − | 0.224168i | ||||
\(196\) | −39.0129 | + | 89.8999i | −0.199046 | + | 0.458673i | ||||
\(197\) | 293.194i | 1.48829i | 0.668016 | + | 0.744147i | \(0.267144\pi\) | ||||
−0.668016 | + | 0.744147i | \(0.732856\pi\) | |||||||
\(198\) | −5.09745 | + | 3.35978i | −0.0257447 | + | 0.0169686i | ||||
\(199\) | 144.355 | − | 250.031i | 0.725403 | − | 1.25643i | −0.233405 | − | 0.972380i | \(-0.574987\pi\) |
0.958808 | − | 0.284055i | \(-0.0916799\pi\) | |||||||
\(200\) | −12.2474 | − | 7.07107i | −0.0612372 | − | 0.0353553i | ||||
\(201\) | 41.5808 | − | 175.826i | 0.206870 | − | 0.874755i | ||||
\(202\) | −178.857 | −0.885431 | ||||||||
\(203\) | 160.463 | − | 9.16949i | 0.790459 | − | 0.0451699i | ||||
\(204\) | −107.715 | + | 114.283i | −0.528013 | + | 0.560209i | ||||
\(205\) | 17.4346 | + | 30.1976i | 0.0850468 | + | 0.147305i | ||||
\(206\) | 174.572 | + | 100.789i | 0.847437 | + | 0.489268i | ||||
\(207\) | −126.259 | + | 252.015i | −0.609947 | + | 1.21747i | ||||
\(208\) | −17.9091 | − | 31.0195i | −0.0861016 | − | 0.149132i | ||||
\(209\) | − | 1.42635i | − | 0.00682462i | ||||||
\(210\) | 65.3919 | + | 11.5713i | 0.311390 | + | 0.0551016i | ||||
\(211\) | 52.3983 | 0.248333 | 0.124167 | − | 0.992261i | \(-0.460374\pi\) | ||||
0.124167 | + | 0.992261i | \(0.460374\pi\) | |||||||
\(212\) | −35.0010 | + | 20.2079i | −0.165099 | + | 0.0953201i | ||||
\(213\) | 33.8963 | + | 113.021i | 0.159138 | + | 0.530614i | ||||
\(214\) | 24.7643 | − | 42.8930i | 0.115721 | − | 0.200435i | ||||
\(215\) | 21.4295 | − | 12.3723i | 0.0996720 | − | 0.0575457i | ||||
\(216\) | −58.5727 | − | 49.0024i | −0.271170 | − | 0.226863i | ||||
\(217\) | −240.471 | − | 121.099i | −1.10816 | − | 0.558062i | ||||
\(218\) | − | 212.671i | − | 0.975554i | ||||||
\(219\) | −99.1391 | + | 419.212i | −0.452690 | + | 1.91421i | ||||
\(220\) | −1.07256 | + | 1.85772i | −0.00487525 | + | 0.00844418i | ||||
\(221\) | −202.977 | − | 117.189i | −0.918447 | − | 0.530266i | ||||
\(222\) | 159.856 | + | 37.8041i | 0.720072 | + | 0.170289i | ||||
\(223\) | −172.619 | −0.774078 | −0.387039 | − | 0.922063i | \(-0.626502\pi\) | ||||
−0.387039 | + | 0.922063i | \(0.626502\pi\) | |||||||
\(224\) | 17.8103 | − | 35.3666i | 0.0795103 | − | 0.157886i | ||||
\(225\) | −2.66037 | − | 44.9213i | −0.0118239 | − | 0.199650i | ||||
\(226\) | −112.260 | − | 194.439i | −0.496724 | − | 0.860351i | ||||
\(227\) | 206.402 | + | 119.166i | 0.909261 | + | 0.524962i | 0.880193 | − | 0.474615i | \(-0.157413\pi\) |
0.0290677 | + | 0.999577i | \(0.490746\pi\) | |||||||
\(228\) | 17.0899 | − | 5.12546i | 0.0749555 | − | 0.0224801i | ||||
\(229\) | −25.3667 | − | 43.9364i | −0.110771 | − | 0.191862i | 0.805310 | − | 0.592854i | \(-0.201999\pi\) |
−0.916082 | + | 0.400992i | \(0.868665\pi\) | |||||||
\(230\) | 99.0405i | 0.430611i | ||||||||
\(231\) | 1.75517 | − | 9.91879i | 0.00759812 | − | 0.0429385i | ||||
\(232\) | −64.9427 | −0.279925 | ||||||||
\(233\) | −195.817 | + | 113.055i | −0.840417 | + | 0.485215i | −0.857406 | − | 0.514641i | \(-0.827925\pi\) |
0.0169892 | + | 0.999856i | \(0.494592\pi\) | |||||||
\(234\) | 51.0515 | − | 101.900i | 0.218169 | − | 0.435469i | ||||
\(235\) | 19.4097 | − | 33.6186i | 0.0825945 | − | 0.143058i | ||||
\(236\) | −16.7582 | + | 9.67533i | −0.0710092 | + | 0.0409972i | ||||
\(237\) | −266.209 | − | 250.909i | −1.12324 | − | 1.05869i | ||||
\(238\) | −14.7824 | − | 258.688i | −0.0621111 | − | 1.08692i | ||||
\(239\) | 193.054i | 0.807759i | 0.914812 | + | 0.403880i | \(0.132339\pi\) | ||||
−0.914812 | + | 0.403880i | \(0.867661\pi\) | |||||||
\(240\) | −26.1126 | − | 6.17533i | −0.108802 | − | 0.0257305i | ||||
\(241\) | −202.111 | + | 350.066i | −0.838633 | + | 1.45255i | 0.0524048 | + | 0.998626i | \(0.483311\pi\) |
−0.891038 | + | 0.453929i | \(0.850022\pi\) | |||||||
\(242\) | −147.912 | − | 85.3972i | −0.611208 | − | 0.352881i | ||||
\(243\) | 27.6214 | − | 241.425i | 0.113668 | − | 0.993519i | ||||
\(244\) | 119.862 | 0.491238 | ||||||||
\(245\) | −88.0297 | + | 65.2363i | −0.359305 | + | 0.266271i | ||||
\(246\) | 48.1449 | + | 45.3780i | 0.195711 | + | 0.184463i | ||||
\(247\) | 13.3139 | + | 23.0603i | 0.0539023 | + | 0.0933615i | ||||
\(248\) | 94.2153 | + | 54.3952i | 0.379900 | + | 0.219336i | ||||
\(249\) | 93.7791 | + | 312.688i | 0.376623 | + | 1.25578i | ||||
\(250\) | −7.90569 | − | 13.6931i | −0.0316228 | − | 0.0547723i | ||||
\(251\) | 106.042i | 0.422478i | 0.977434 | + | 0.211239i | \(0.0677498\pi\) | ||||
−0.977434 | + | 0.211239i | \(0.932250\pi\) | |||||||
\(252\) | 125.150 | − | 14.6127i | 0.496626 | − | 0.0579871i | ||||
\(253\) | 15.0227 | 0.0593782 | ||||||||
\(254\) | 160.788 | − | 92.8312i | 0.633025 | − | 0.365477i | ||||
\(255\) | −168.180 | + | 50.4393i | −0.659530 | + | 0.197801i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −316.253 | + | 182.589i | −1.23056 | + | 0.710462i | −0.967146 | − | 0.254221i | \(-0.918181\pi\) |
−0.263411 | + | 0.964684i | \(0.584848\pi\) | |||||||
\(258\) | 32.2021 | − | 34.1657i | 0.124814 | − | 0.132425i | ||||
\(259\) | −226.600 | + | 148.682i | −0.874904 | + | 0.574061i | ||||
\(260\) | − | 40.0460i | − | 0.154023i | ||||||
\(261\) | −113.723 | − | 172.540i | −0.435719 | − | 0.661071i | ||||
\(262\) | 52.6052 | − | 91.1149i | 0.200783 | − | 0.347767i | ||||
\(263\) | 343.727 | + | 198.451i | 1.30695 | + | 0.754566i | 0.981586 | − | 0.191023i | \(-0.0611806\pi\) |
0.325362 | + | 0.945590i | \(0.394514\pi\) | |||||||
\(264\) | −0.936688 | + | 3.96081i | −0.00354806 | + | 0.0150031i | ||||
\(265\) | −45.1861 | −0.170514 | ||||||||
\(266\) | −13.2404 | + | 26.2919i | −0.0497760 | + | 0.0988419i | ||||
\(267\) | 252.037 | − | 267.405i | 0.943958 | − | 1.00152i | ||||
\(268\) | −60.2252 | − | 104.313i | −0.224721 | − | 0.389228i | ||||
\(269\) | −359.071 | − | 207.310i | −1.33484 | − | 0.770669i | −0.348800 | − | 0.937197i | \(-0.613411\pi\) |
−0.986037 | + | 0.166528i | \(0.946744\pi\) | |||||||
\(270\) | −29.3197 | − | 80.1895i | −0.108591 | − | 0.296998i | ||||
\(271\) | −3.08696 | − | 5.34676i | −0.0113910 | − | 0.0197298i | 0.860274 | − | 0.509832i | \(-0.170293\pi\) |
−0.871665 | + | 0.490103i | \(0.836959\pi\) | |||||||
\(272\) | 104.696i | 0.384913i | ||||||||
\(273\) | 64.2081 | + | 176.744i | 0.235194 | + | 0.647415i | ||||
\(274\) | −135.404 | −0.494174 | ||||||||
\(275\) | −2.07699 | + | 1.19915i | −0.00755271 | + | 0.00436056i | ||||
\(276\) | 53.9828 | + | 179.995i | 0.195590 | + | 0.652157i | ||||
\(277\) | −53.1123 | + | 91.9931i | −0.191741 | + | 0.332105i | −0.945827 | − | 0.324670i | \(-0.894747\pi\) |
0.754086 | + | 0.656775i | \(0.228080\pi\) | |||||||
\(278\) | 96.5137 | − | 55.7222i | 0.347171 | − | 0.200440i | ||||
\(279\) | 20.4653 | + | 345.564i | 0.0733524 | + | 1.23858i | ||||
\(280\) | 37.0153 | − | 24.2873i | 0.132197 | − | 0.0867402i | ||||
\(281\) | 42.6308i | 0.151711i | 0.997119 | + | 0.0758556i | \(0.0241688\pi\) | ||||
−0.997119 | + | 0.0758556i | \(0.975831\pi\) | |||||||
\(282\) | 16.9509 | − | 71.6775i | 0.0601097 | − | 0.254176i | ||||
\(283\) | −98.0451 | + | 169.819i | −0.346449 | + | 0.600068i | −0.985616 | − | 0.169001i | \(-0.945946\pi\) |
0.639167 | + | 0.769068i | \(0.279279\pi\) | |||||||
\(284\) | 68.1240 | + | 39.3314i | 0.239873 | + | 0.138491i | ||||
\(285\) | 19.4124 | + | 4.59082i | 0.0681137 | + | 0.0161081i | ||||
\(286\) | −6.07427 | −0.0212387 | ||||||||
\(287\) | −108.980 | + | 6.22754i | −0.379722 | + | 0.0216988i | ||||
\(288\) | −50.8226 | + | 3.00987i | −0.176467 | + | 0.0104509i | ||||
\(289\) | 198.041 | + | 343.017i | 0.685264 | + | 1.18691i | ||||
\(290\) | −62.8805 | − | 36.3041i | −0.216829 | − | 0.125186i | ||||
\(291\) | −422.911 | + | 126.836i | −1.45330 | + | 0.435863i | ||||
\(292\) | 143.592 | + | 248.708i | 0.491753 | + | 0.851741i | ||||
\(293\) | − | 348.887i | − | 1.19074i | −0.803452 | − | 0.595370i | \(-0.797006\pi\) | ||
0.803452 | − | 0.595370i | \(-0.202994\pi\) | |||||||
\(294\) | −124.427 | + | 166.541i | −0.423221 | + | 0.566467i | ||||
\(295\) | −21.6347 | −0.0733379 | ||||||||
\(296\) | 94.8386 | − | 54.7551i | 0.320401 | − | 0.184983i | ||||
\(297\) | −12.1633 | + | 4.44727i | −0.0409540 | + | 0.0149740i | ||||
\(298\) | 152.379 | − | 263.928i | 0.511339 | − | 0.885665i | ||||
\(299\) | −242.878 | + | 140.226i | −0.812300 | + | 0.468982i | ||||
\(300\) | −21.8313 | − | 20.5766i | −0.0727709 | − | 0.0685886i | ||||
\(301\) | 4.41933 | + | 77.3368i | 0.0146821 | + | 0.256933i | ||||
\(302\) | − | 277.265i | − | 0.918095i | ||||||
\(303\) | −369.229 | − | 87.3185i | −1.21858 | − | 0.288180i | ||||
\(304\) | 5.94730 | − | 10.3010i | 0.0195635 | − | 0.0338850i | ||||
\(305\) | 116.056 | + | 67.0049i | 0.380511 | + | 0.219688i | ||||
\(306\) | −278.157 | + | 183.336i | −0.909010 | + | 0.599137i | ||||
\(307\) | 364.806 | 1.18829 | 0.594147 | − | 0.804356i | \(-0.297490\pi\) | ||||
0.594147 | + | 0.804356i | \(0.297490\pi\) | |||||||
\(308\) | −3.68395 | − | 5.61456i | −0.0119609 | − | 0.0182291i | ||||
\(309\) | 311.177 | + | 293.293i | 1.00705 | + | 0.949170i | ||||
\(310\) | 60.8157 | + | 105.336i | 0.196180 | + | 0.339793i | ||||
\(311\) | 104.321 | + | 60.2295i | 0.335436 | + | 0.193664i | 0.658252 | − | 0.752798i | \(-0.271296\pi\) |
−0.322816 | + | 0.946462i | \(0.604629\pi\) | |||||||
\(312\) | −21.8274 | − | 72.7793i | −0.0699596 | − | 0.233267i | ||||
\(313\) | −58.2031 | − | 100.811i | −0.185952 | − | 0.322079i | 0.757945 | − | 0.652319i | \(-0.226204\pi\) |
−0.943897 | + | 0.330240i | \(0.892870\pi\) | |||||||
\(314\) | − | 344.060i | − | 1.09573i | ||||||
\(315\) | 129.345 | + | 55.8121i | 0.410618 | + | 0.177181i | ||||
\(316\) | −243.878 | −0.771767 | ||||||||
\(317\) | −109.281 | + | 63.0932i | −0.344734 | + | 0.199032i | −0.662363 | − | 0.749183i | \(-0.730447\pi\) |
0.317630 | + | 0.948215i | \(0.397113\pi\) | |||||||
\(318\) | −82.1209 | + | 24.6291i | −0.258242 | + | 0.0774499i | ||||
\(319\) | −5.50668 | + | 9.53786i | −0.0172623 | + | 0.0298992i | ||||
\(320\) | −15.4919 | + | 8.94427i | −0.0484123 | + | 0.0279508i | ||||
\(321\) | 72.0634 | − | 76.4575i | 0.224497 | − | 0.238185i | ||||
\(322\) | −276.914 | − | 139.452i | −0.859983 | − | 0.433080i | ||||
\(323\) | − | 77.8325i | − | 0.240968i | ||||||
\(324\) | −96.9932 | − | 129.755i | −0.299362 | − | 0.400478i | ||||
\(325\) | 22.3864 | − | 38.7744i | 0.0688812 | − | 0.119306i | ||||
\(326\) | 167.588 | + | 96.7572i | 0.514075 | + | 0.296801i | ||||
\(327\) | 103.826 | − | 439.033i | 0.317512 | − | 1.34261i | ||||
\(328\) | 44.1064 | 0.134471 | ||||||||
\(329\) | 66.6672 | + | 101.605i | 0.202636 | + | 0.308829i | ||||
\(330\) | −3.12110 | + | 3.31141i | −0.00945789 | + | 0.0100346i | ||||
\(331\) | −182.841 | − | 316.689i | −0.552388 | − | 0.956765i | −0.998102 | − | 0.0615889i | \(-0.980383\pi\) |
0.445713 | − | 0.895176i | \(-0.352950\pi\) | |||||||
\(332\) | 188.475 | + | 108.816i | 0.567696 | + | 0.327759i | ||||
\(333\) | 311.547 | + | 156.084i | 0.935577 | + | 0.468721i | ||||
\(334\) | 164.177 | + | 284.362i | 0.491547 | + | 0.851384i | ||||
\(335\) | − | 134.668i | − | 0.401993i | ||||||
\(336\) | 54.0333 | − | 64.3149i | 0.160813 | − | 0.191413i | ||||
\(337\) | 436.304 | 1.29467 | 0.647335 | − | 0.762206i | \(-0.275884\pi\) | ||||
0.647335 | + | 0.762206i | \(0.275884\pi\) | |||||||
\(338\) | −108.777 | + | 62.8023i | −0.321825 | + | 0.185806i | ||||
\(339\) | −136.821 | − | 456.202i | −0.403600 | − | 1.34573i | ||||
\(340\) | −58.5270 | + | 101.372i | −0.172138 | + | 0.298152i | ||||
\(341\) | 15.9776 | − | 9.22466i | 0.0468551 | − | 0.0270518i | ||||
\(342\) | 37.7822 | − | 2.23757i | 0.110474 | − | 0.00654262i | ||||
\(343\) | −58.4505 | − | 337.983i | −0.170410 | − | 0.985373i | ||||
\(344\) | − | 31.2998i | − | 0.0909877i | ||||||
\(345\) | −48.3518 | + | 204.457i | −0.140150 | + | 0.592629i | ||||
\(346\) | 91.1250 | − | 157.833i | 0.263367 | − | 0.456165i | ||||
\(347\) | 371.022 | + | 214.209i | 1.06923 | + | 0.617318i | 0.927970 | − | 0.372655i | \(-0.121552\pi\) |
0.141257 | + | 0.989973i | \(0.454886\pi\) | |||||||
\(348\) | −134.066 | − | 31.7052i | −0.385248 | − | 0.0911069i | ||||
\(349\) | 46.2646 | 0.132563 | 0.0662817 | − | 0.997801i | \(-0.478886\pi\) | ||||
0.0662817 | + | 0.997801i | \(0.478886\pi\) | |||||||
\(350\) | 49.4169 | − | 2.82387i | 0.141191 | − | 0.00806820i | ||||
\(351\) | 155.137 | − | 185.436i | 0.441987 | − | 0.528309i | ||||
\(352\) | 1.35669 | + | 2.34985i | 0.00385423 | + | 0.00667571i | ||||
\(353\) | −49.5842 | − | 28.6275i | −0.140465 | − | 0.0810976i | 0.428120 | − | 0.903722i | \(-0.359176\pi\) |
−0.568586 | + | 0.822624i | \(0.692509\pi\) | |||||||
\(354\) | −39.3187 | + | 11.7922i | −0.111070 | + | 0.0333112i | ||||
\(355\) | 43.9739 | + | 76.1650i | 0.123870 | + | 0.214549i | ||||
\(356\) | − | 244.974i | − | 0.688130i | ||||||
\(357\) | 95.7756 | − | 541.247i | 0.268279 | − | 1.51610i | ||||
\(358\) | −447.660 | −1.25045 | ||||||||
\(359\) | −90.4330 | + | 52.2115i | −0.251902 | + | 0.145436i | −0.620635 | − | 0.784100i | \(-0.713125\pi\) |
0.368733 | + | 0.929535i | \(0.379792\pi\) | |||||||
\(360\) | −50.8914 | − | 25.4964i | −0.141365 | − | 0.0708234i | ||||
\(361\) | 176.079 | − | 304.977i | 0.487753 | − | 0.844812i | ||||
\(362\) | 117.896 | − | 68.0675i | 0.325681 | − | 0.188032i | ||||
\(363\) | −263.656 | − | 248.503i | −0.726325 | − | 0.684582i | ||||
\(364\) | 111.968 | + | 56.3859i | 0.307603 | + | 0.154906i | ||||
\(365\) | 321.081i | 0.879675i | ||||||||
\(366\) | 247.441 | + | 58.5170i | 0.676068 | + | 0.159882i | ||||
\(367\) | 4.30975 | − | 7.46470i | 0.0117432 | − | 0.0203398i | −0.860094 | − | 0.510135i | \(-0.829595\pi\) |
0.871837 | + | 0.489796i | \(0.162929\pi\) | |||||||
\(368\) | 108.493 | + | 62.6387i | 0.294819 | + | 0.170214i | ||||
\(369\) | 77.2357 | + | 117.182i | 0.209311 | + | 0.317566i | ||||
\(370\) | 122.436 | 0.330908 | ||||||||
\(371\) | 63.6234 | − | 126.339i | 0.171492 | − | 0.340537i | ||||
\(372\) | 167.940 | + | 158.288i | 0.451452 | + | 0.425507i | ||||
\(373\) | 280.562 | + | 485.947i | 0.752176 | + | 1.30281i | 0.946766 | + | 0.321923i | \(0.104329\pi\) |
−0.194590 | + | 0.980885i | \(0.562338\pi\) | |||||||
\(374\) | 15.3763 | + | 8.87751i | 0.0411131 | + | 0.0237367i | ||||
\(375\) | −9.63536 | − | 32.1272i | −0.0256943 | − | 0.0856727i | ||||
\(376\) | −24.5515 | − | 42.5245i | −0.0652967 | − | 0.113097i | ||||
\(377\) | − | 205.603i | − | 0.545366i | ||||||
\(378\) | 265.490 | + | 30.9322i | 0.702356 | + | 0.0818312i | ||||
\(379\) | −431.907 | −1.13960 | −0.569799 | − | 0.821784i | \(-0.692979\pi\) | ||||
−0.569799 | + | 0.821784i | \(0.692979\pi\) | |||||||
\(380\) | 11.5169 | − | 6.64928i | 0.0303076 | − | 0.0174981i | ||||
\(381\) | 377.248 | − | 113.141i | 0.990153 | − | 0.296959i | ||||
\(382\) | 24.8220 | − | 42.9930i | 0.0649791 | − | 0.112547i | ||||
\(383\) | 584.801 | − | 337.635i | 1.52689 | − | 0.881553i | 0.527405 | − | 0.849614i | \(-0.323165\pi\) |
0.999490 | − | 0.0319388i | \(-0.0101682\pi\) | |||||||
\(384\) | −23.2798 | + | 24.6992i | −0.0606244 | + | 0.0643210i | ||||
\(385\) | −0.428331 | − | 7.49566i | −0.00111255 | − | 0.0194692i | ||||
\(386\) | − | 353.871i | − | 0.916764i | ||||||
\(387\) | 83.1572 | − | 54.8097i | 0.214876 | − | 0.141627i | ||||
\(388\) | −147.174 | + | 254.912i | −0.379313 | + | 0.656990i | ||||
\(389\) | 48.1954 | + | 27.8256i | 0.123896 | + | 0.0715312i | 0.560667 | − | 0.828041i | \(-0.310545\pi\) |
−0.436771 | + | 0.899573i | \(0.643878\pi\) | |||||||
\(390\) | 19.5506 | − | 82.6701i | 0.0501297 | − | 0.211975i | ||||
\(391\) | 819.755 | 2.09656 | ||||||||
\(392\) | 15.7879 | + | 137.691i | 0.0402753 | + | 0.351252i | ||||
\(393\) | 153.080 | − | 162.414i | 0.389515 | − | 0.413266i | ||||
\(394\) | 207.319 | + | 359.088i | 0.526191 | + | 0.911390i | ||||
\(395\) | −236.134 | − | 136.332i | −0.597808 | − | 0.345145i | ||||
\(396\) | −3.86736 | + | 7.71932i | −0.00976605 | + | 0.0194932i | ||||
\(397\) | 53.0082 | + | 91.8129i | 0.133522 | + | 0.231267i | 0.925032 | − | 0.379890i | \(-0.124038\pi\) |
−0.791510 | + | 0.611156i | \(0.790705\pi\) | |||||||
\(398\) | − | 408.298i | − | 1.02587i | ||||||
\(399\) | −40.1690 | + | 47.8125i | −0.100674 | + | 0.119831i | ||||
\(400\) | −20.0000 | −0.0500000 | ||||||||
\(401\) | 491.602 | − | 283.827i | 1.22594 | − | 0.707797i | 0.259762 | − | 0.965673i | \(-0.416356\pi\) |
0.966178 | + | 0.257876i | \(0.0830225\pi\) | |||||||
\(402\) | −73.4017 | − | 244.744i | −0.182591 | − | 0.608815i | ||||
\(403\) | −172.211 | + | 298.278i | −0.427322 | + | 0.740143i | ||||
\(404\) | −219.054 | + | 126.471i | −0.542214 | + | 0.313047i | ||||
\(405\) | −21.3781 | − | 179.855i | −0.0527855 | − | 0.444087i | ||||
\(406\) | 190.043 | − | 124.695i | 0.468085 | − | 0.307130i | ||||
\(407\) | − | 18.5714i | − | 0.0456299i | ||||||
\(408\) | −51.1130 | + | 216.133i | −0.125277 | + | 0.529737i | ||||
\(409\) | −202.730 | + | 351.138i | −0.495672 | + | 0.858529i | −0.999988 | − | 0.00499032i | \(-0.998412\pi\) |
0.504316 | + | 0.863519i | \(0.331745\pi\) | |||||||
\(410\) | 42.7059 | + | 24.6562i | 0.104161 | + | 0.0601372i | ||||
\(411\) | −279.524 | − | 66.1044i | −0.680108 | − | 0.160838i | ||||
\(412\) | 285.075 | 0.691929 | ||||||||
\(413\) | 30.4623 | − | 60.4900i | 0.0737585 | − | 0.146465i | ||||
\(414\) | 23.5668 | + | 397.933i | 0.0569246 | + | 0.961191i | ||||
\(415\) | 121.660 | + | 210.721i | 0.293157 | + | 0.507762i | ||||
\(416\) | −43.8682 | − | 25.3273i | −0.105452 | − | 0.0608830i | ||||
\(417\) | 226.444 | − | 67.9135i | 0.543032 | − | 0.162862i | ||||
\(418\) | −1.00858 | − | 1.74691i | −0.00241287 | − | 0.00417921i | ||||
\(419\) | − | 206.119i | − | 0.491931i | −0.969279 | − | 0.245965i | \(-0.920895\pi\) | ||
0.969279 | − | 0.245965i | \(-0.0791050\pi\) | |||||||
\(420\) | 88.2706 | − | 32.0671i | 0.210168 | − | 0.0763503i | ||||
\(421\) | −436.580 | −1.03701 | −0.518504 | − | 0.855075i | \(-0.673511\pi\) | ||||
−0.518504 | + | 0.855075i | \(0.673511\pi\) | |||||||
\(422\) | 64.1745 | − | 37.0512i | 0.152072 | − | 0.0877990i | ||||
\(423\) | 69.9863 | − | 139.694i | 0.165452 | − | 0.330246i | ||||
\(424\) | −28.5782 | + | 49.4989i | −0.0674015 | + | 0.116743i | ||||
\(425\) | −113.337 | + | 65.4352i | −0.266675 | + | 0.153965i | ||||
\(426\) | 121.432 | + | 114.453i | 0.285052 | + | 0.268670i | ||||
\(427\) | −350.754 | + | 230.144i | −0.821438 | + | 0.538980i | ||||
\(428\) | − | 70.0440i | − | 0.163654i | ||||||
\(429\) | −12.5396 | − | 2.96547i | −0.0292298 | − | 0.00691253i | ||||
\(430\) | 17.4971 | − | 30.3059i | 0.0406909 | − | 0.0704788i | ||||
\(431\) | −114.311 | − | 65.9973i | −0.265222 | − | 0.153126i | 0.361492 | − | 0.932375i | \(-0.382267\pi\) |
−0.626714 | + | 0.779249i | \(0.715601\pi\) | |||||||
\(432\) | −106.387 | − | 18.5982i | −0.246265 | − | 0.0430515i | ||||
\(433\) | −227.759 | −0.526002 | −0.263001 | − | 0.964796i | \(-0.584712\pi\) | ||||
−0.263001 | + | 0.964796i | \(0.584712\pi\) | |||||||
\(434\) | −380.146 | + | 21.7230i | −0.875913 | + | 0.0500531i | ||||
\(435\) | −112.085 | − | 105.644i | −0.257668 | − | 0.242859i | ||||
\(436\) | −150.381 | − | 260.467i | −0.344910 | − | 0.597402i | ||||
\(437\) | −80.6554 | − | 46.5664i | −0.184566 | − | 0.106559i | ||||
\(438\) | 175.008 | + | 583.530i | 0.399561 | + | 1.33226i | ||||
\(439\) | −200.823 | − | 347.836i | −0.457457 | − | 0.792338i | 0.541369 | − | 0.840785i | \(-0.317906\pi\) |
−0.998826 | + | 0.0484470i | \(0.984573\pi\) | |||||||
\(440\) | 3.03365i | 0.00689465i | ||||||||
\(441\) | −338.170 | + | 283.059i | −0.766825 | + | 0.641856i | ||||
\(442\) | −331.460 | −0.749909 | ||||||||
\(443\) | −192.476 | + | 111.126i | −0.434483 | + | 0.250849i | −0.701254 | − | 0.712911i | \(-0.747376\pi\) |
0.266772 | + | 0.963760i | \(0.414043\pi\) | |||||||
\(444\) | 222.514 | − | 66.7348i | 0.501158 | − | 0.150304i | ||||
\(445\) | 136.945 | − | 237.195i | 0.307741 | − | 0.533023i | ||||
\(446\) | −211.415 | + | 122.060i | −0.474024 | + | 0.273678i | ||||
\(447\) | 443.418 | − | 470.456i | 0.991987 | − | 1.05247i | ||||
\(448\) | −3.19485 | − | 55.9088i | −0.00713135 | − | 0.124796i | ||||
\(449\) | 128.585i | 0.286382i | 0.989695 | + | 0.143191i | \(0.0457363\pi\) | ||||
−0.989695 | + | 0.143191i | \(0.954264\pi\) | |||||||
\(450\) | −35.0224 | − | 53.1360i | −0.0778276 | − | 0.118080i | ||||
\(451\) | 3.73992 | − | 6.47772i | 0.00829250 | − | 0.0143630i | ||||
\(452\) | −274.979 | − | 158.759i | −0.608360 | − | 0.351237i | ||||
\(453\) | 135.361 | − | 572.379i | 0.298811 | − | 1.26353i | ||||
\(454\) | 337.053 | 0.742409 | ||||||||
\(455\) | 76.8914 | + | 117.187i | 0.168992 | + | 0.257554i | ||||
\(456\) | 17.3065 | − | 18.3617i | 0.0379528 | − | 0.0402669i | ||||
\(457\) | −90.8220 | − | 157.308i | −0.198735 | − | 0.344219i | 0.749383 | − | 0.662136i | \(-0.230350\pi\) |
−0.948119 | + | 0.317917i | \(0.897017\pi\) | |||||||
\(458\) | −62.1354 | − | 35.8739i | −0.135667 | − | 0.0783273i | ||||
\(459\) | −663.726 | + | 242.678i | −1.44603 | + | 0.528710i | ||||
\(460\) | 70.0322 | + | 121.299i | 0.152244 | + | 0.263694i | ||||
\(461\) | 557.733i | 1.20983i | 0.796289 | + | 0.604917i | \(0.206794\pi\) | ||||
−0.796289 | + | 0.604917i | \(0.793206\pi\) | |||||||
\(462\) | −4.86402 | − | 13.3891i | −0.0105282 | − | 0.0289807i | ||||
\(463\) | −133.722 | −0.288816 | −0.144408 | − | 0.989518i | \(-0.546128\pi\) | ||||
−0.144408 | + | 0.989518i | \(0.546128\pi\) | |||||||
\(464\) | −79.5383 | + | 45.9214i | −0.171419 | + | 0.0989686i | ||||
\(465\) | 74.1214 | + | 247.144i | 0.159401 | + | 0.531491i | ||||
\(466\) | −159.884 | + | 276.927i | −0.343099 | + | 0.594264i | ||||
\(467\) | −281.854 | + | 162.729i | −0.603542 | + | 0.348455i | −0.770434 | − | 0.637520i | \(-0.779960\pi\) |
0.166891 | + | 0.985975i | \(0.446627\pi\) | |||||||
\(468\) | −9.52899 | − | 160.900i | −0.0203611 | − | 0.343804i | ||||
\(469\) | 376.527 | + | 189.616i | 0.802829 | + | 0.404298i | ||||
\(470\) | − | 54.8989i | − | 0.116806i | ||||||
\(471\) | 167.971 | − | 710.271i | 0.356627 | − | 1.50801i | ||||
\(472\) | −13.6830 | + | 23.6996i | −0.0289894 | + | 0.0502111i | ||||
\(473\) | −4.59686 | − | 2.65400i | −0.00971853 | − | 0.00561099i | ||||
\(474\) | −503.457 | − | 119.062i | −1.06215 | − | 0.251186i | ||||
\(475\) | 14.8682 | 0.0313016 | ||||||||
\(476\) | −201.025 | − | 306.374i | −0.422321 | − | 0.643643i | ||||
\(477\) | −181.553 | + | 10.7521i | −0.380613 | + | 0.0225411i | ||||
\(478\) | 136.510 | + | 236.442i | 0.285586 | + | 0.494649i | ||||
\(479\) | 60.6507 | + | 35.0167i | 0.126619 | + | 0.0731038i | 0.561972 | − | 0.827156i | \(-0.310043\pi\) |
−0.435352 | + | 0.900260i | \(0.643376\pi\) | |||||||
\(480\) | −36.3478 | + | 10.9012i | −0.0757246 | + | 0.0227108i | ||||
\(481\) | 173.350 | + | 300.251i | 0.360395 | + | 0.624222i | ||||
\(482\) | 571.655i | 1.18601i | ||||||||
\(483\) | −503.575 | − | 423.072i | −1.04260 | − | 0.875925i | ||||
\(484\) | −241.540 | −0.499049 | ||||||||
\(485\) | −285.001 | + | 164.545i | −0.587630 | + | 0.339268i | ||||
\(486\) | −136.884 | − | 315.215i | −0.281655 | − | 0.648591i | ||||
\(487\) | −324.704 | + | 562.403i | −0.666743 | + | 1.15483i | 0.312067 | + | 0.950060i | \(0.398979\pi\) |
−0.978810 | + | 0.204772i | \(0.934355\pi\) | |||||||
\(488\) | 146.800 | − | 84.7553i | 0.300821 | − | 0.173679i | ||||
\(489\) | 298.729 | + | 281.561i | 0.610897 | + | 0.575788i | ||||
\(490\) | −61.6849 | + | 142.144i | −0.125888 | + | 0.290090i | ||||
\(491\) | 489.881i | 0.997720i | 0.866683 | + | 0.498860i | \(0.166248\pi\) | ||||
−0.866683 | + | 0.498860i | \(0.833752\pi\) | |||||||
\(492\) | 91.0524 | + | 21.5329i | 0.185066 | + | 0.0437660i | ||||
\(493\) | −300.488 | + | 520.460i | −0.609509 | + | 1.05570i | ||||
\(494\) | 32.6122 | + | 18.8286i | 0.0660165 | + | 0.0381147i | ||||
\(495\) | −8.05978 | + | 5.31228i | −0.0162824 | + | 0.0107319i | ||||
\(496\) | 153.853 | 0.310187 | ||||||||
\(497\) | −274.872 | + | 15.7072i | −0.553062 | + | 0.0316041i | ||||
\(498\) | 335.959 | + | 316.652i | 0.674617 | + | 0.635846i | ||||
\(499\) | −192.515 | − | 333.446i | −0.385801 | − | 0.668228i | 0.606079 | − | 0.795405i | \(-0.292742\pi\) |
−0.991880 | + | 0.127177i | \(0.959408\pi\) | |||||||
\(500\) | −19.3649 | − | 11.1803i | −0.0387298 | − | 0.0223607i | ||||
\(501\) | 200.096 | + | 667.183i | 0.399394 | + | 1.33170i | ||||
\(502\) | 74.9829 | + | 129.874i | 0.149368 | + | 0.258714i | ||||
\(503\) | 394.429i | 0.784152i | 0.919933 | + | 0.392076i | \(0.128243\pi\) | ||||
−0.919933 | + | 0.392076i | \(0.871757\pi\) | |||||||
\(504\) | 142.944 | − | 106.391i | 0.283619 | − | 0.211094i | ||||
\(505\) | −282.798 | −0.559996 | ||||||||
\(506\) | 18.3990 | − | 10.6226i | 0.0363616 | − | 0.0209934i | ||||
\(507\) | −255.217 | + | 76.5426i | −0.503386 | + | 0.150972i | ||||
\(508\) | 131.283 | − | 227.389i | 0.258431 | − | 0.447616i | ||||
\(509\) | 13.8083 | − | 7.97222i | 0.0271283 | − | 0.0156625i | −0.486375 | − | 0.873750i | \(-0.661681\pi\) |
0.513503 | + | 0.858088i | \(0.328348\pi\) | |||||||
\(510\) | −170.312 | + | 180.697i | −0.333945 | + | 0.354307i | ||||
\(511\) | −897.734 | − | 452.091i | −1.75682 | − | 0.884719i | ||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 79.0891 | + | 13.8262i | 0.154170 | + | 0.0269516i | ||||
\(514\) | −258.220 | + | 447.250i | −0.502373 | + | 0.870135i | ||||
\(515\) | 276.023 | + | 159.362i | 0.535966 | + | 0.309440i | ||||
\(516\) | 15.2806 | − | 64.6146i | 0.0296136 | − | 0.125222i | ||||
\(517\) | −8.32719 | −0.0161068 | ||||||||
\(518\) | −172.393 | + | 342.328i | −0.332806 | + | 0.660864i | ||||
\(519\) | 265.171 | − | 281.340i | 0.510927 | − | 0.542081i | ||||
\(520\) | −28.3168 | − | 49.0462i | −0.0544554 | − | 0.0943195i | ||||
\(521\) | 365.707 | + | 211.141i | 0.701933 | + | 0.405261i | 0.808067 | − | 0.589091i | \(-0.200514\pi\) |
−0.106134 | + | 0.994352i | \(0.533847\pi\) | |||||||
\(522\) | −261.285 | − | 130.903i | −0.500546 | − | 0.250772i | ||||
\(523\) | −62.9958 | − | 109.112i | −0.120451 | − | 0.208627i | 0.799495 | − | 0.600673i | \(-0.205101\pi\) |
−0.919946 | + | 0.392046i | \(0.871767\pi\) | |||||||
\(524\) | − | 148.790i | − | 0.283950i | ||||||
\(525\) | 103.394 | + | 18.2959i | 0.196940 | + | 0.0348493i | ||||
\(526\) | 561.304 | 1.06712 | ||||||||
\(527\) | 871.862 | − | 503.370i | 1.65439 | − | 0.955161i | ||||
\(528\) | 1.65351 | + | 5.51332i | 0.00313165 | + | 0.0104419i | ||||
\(529\) | 225.951 | − | 391.359i | 0.427129 | − | 0.739809i | ||||
\(530\) | −55.3415 | + | 31.9514i | −0.104418 | + | 0.0602857i | ||||
\(531\) | −86.9257 | + | 5.14800i | −0.163702 | + | 0.00969491i | ||||
\(532\) | 2.37509 | + | 41.5633i | 0.00446445 | + | 0.0781265i | ||||
\(533\) | 139.637i | 0.261984i | ||||||||
\(534\) | 119.597 | − | 505.720i | 0.223965 | − | 0.947040i | ||||
\(535\) | 39.1558 | − | 67.8199i | 0.0731884 | − | 0.126766i | ||||
\(536\) | −147.521 | − | 85.1713i | −0.275226 | − | 0.158902i | ||||
\(537\) | −924.140 | − | 218.549i | −1.72093 | − | 0.406981i | ||||
\(538\) | −586.361 | −1.08989 | ||||||||
\(539\) | 21.5608 | + | 9.35650i | 0.0400014 | + | 0.0173590i | ||||
\(540\) | −92.6116 | − | 77.4796i | −0.171503 | − | 0.143481i | ||||
\(541\) | 155.765 | + | 269.792i | 0.287920 | + | 0.498692i | 0.973313 | − | 0.229481i | \(-0.0737030\pi\) |
−0.685393 | + | 0.728173i | \(0.740370\pi\) | |||||||
\(542\) | −7.56147 | − | 4.36561i | −0.0139510 | − | 0.00805464i | ||||
\(543\) | 276.614 | − | 82.9598i | 0.509417 | − | 0.152781i | ||||
\(544\) | 74.0315 | + | 128.226i | 0.136087 | + | 0.235710i | ||||
\(545\) | − | 336.262i | − | 0.616994i | ||||||
\(546\) | 203.616 | + | 171.065i | 0.372922 | + | 0.313305i | ||||
\(547\) | −1045.63 | −1.91158 | −0.955789 | − | 0.294052i | \(-0.904996\pi\) | ||||
−0.955789 | + | 0.294052i | \(0.904996\pi\) | |||||||
\(548\) | −165.835 | + | 95.7448i | −0.302618 | + | 0.174717i | ||||
\(549\) | 482.243 | + | 241.602i | 0.878403 | + | 0.440077i | ||||
\(550\) | −1.69586 | + | 2.93731i | −0.00308338 | + | 0.00534057i | ||||
\(551\) | 59.1297 | − | 34.1386i | 0.107313 | − | 0.0619575i | ||||
\(552\) | 193.391 | + | 182.277i | 0.350346 | + | 0.330212i | ||||
\(553\) | 713.665 | − | 468.265i | 1.29053 | − | 0.846772i | ||||
\(554\) | 150.224i | 0.271163i | ||||||||
\(555\) | 252.754 | + | 59.7736i | 0.455413 | + | 0.107700i | ||||
\(556\) | 78.8031 | − | 136.491i | 0.141732 | − | 0.245487i | ||||
\(557\) | 500.577 | + | 289.008i | 0.898702 | + | 0.518866i | 0.876779 | − | 0.480894i | \(-0.159688\pi\) |
0.0219234 | + | 0.999760i | \(0.493021\pi\) | |||||||
\(558\) | 269.415 | + | 408.756i | 0.482823 | + | 0.732538i | ||||
\(559\) | 99.0924 | 0.177267 | ||||||||
\(560\) | 28.1606 | − | 55.9194i | 0.0502867 | − | 0.0998561i | ||||
\(561\) | 27.4085 | + | 25.8333i | 0.0488565 | + | 0.0460486i | ||||
\(562\) | 30.1446 | + | 52.2119i | 0.0536380 | + | 0.0929037i | ||||
\(563\) | −950.253 | − | 548.629i | −1.68784 | − | 0.974474i | −0.956169 | − | 0.292814i | \(-0.905408\pi\) |
−0.731669 | − | 0.681660i | \(-0.761258\pi\) | |||||||
\(564\) | −29.9231 | − | 99.7728i | −0.0530551 | − | 0.176902i | ||||
\(565\) | −177.498 | − | 307.436i | −0.314156 | − | 0.544134i | ||||
\(566\) | 277.313i | 0.489953i | ||||||||
\(567\) | 532.972 | + | 193.469i | 0.939985 | + | 0.341215i | ||||
\(568\) | 111.246 | 0.195856 | ||||||||
\(569\) | 587.711 | − | 339.315i | 1.03288 | − | 0.596336i | 0.115075 | − | 0.993357i | \(-0.463289\pi\) |
0.917810 | + | 0.397021i | \(0.129956\pi\) | |||||||
\(570\) | 27.0214 | − | 8.10406i | 0.0474060 | − | 0.0142176i | ||||
\(571\) | −272.277 | + | 471.597i | −0.476842 | + | 0.825914i | −0.999648 | − | 0.0265373i | \(-0.991552\pi\) |
0.522806 | + | 0.852452i | \(0.324885\pi\) | |||||||
\(572\) | −7.43943 | + | 4.29516i | −0.0130060 | + | 0.00750902i | ||||
\(573\) | 72.2313 | − | 76.6356i | 0.126058 | − | 0.133745i | ||||
\(574\) | −129.069 | + | 84.6877i | −0.224859 | + | 0.147540i | ||||
\(575\) | 156.597i | 0.272342i | ||||||||
\(576\) | −60.1165 | + | 39.6234i | −0.104369 | + | 0.0687905i | ||||
\(577\) | 47.1648 | − | 81.6918i | 0.0817414 | − | 0.141580i | −0.822257 | − | 0.569117i | \(-0.807285\pi\) |
0.903998 | + | 0.427537i | \(0.140618\pi\) | |||||||
\(578\) | 485.100 | + | 280.073i | 0.839273 | + | 0.484555i | ||||
\(579\) | 172.761 | − | 730.523i | 0.298378 | − | 1.26170i | ||||
\(580\) | −102.683 | −0.177040 | ||||||||
\(581\) | −760.472 | + | 43.4563i | −1.30890 | + | 0.0747957i | ||||
\(582\) | −428.271 | + | 454.385i | −0.735861 | + | 0.780730i | ||||
\(583\) | 4.84647 | + | 8.39432i | 0.00831298 | + | 0.0143985i | ||||
\(584\) | 351.727 | + | 203.070i | 0.602272 | + | 0.347722i | ||||
\(585\) | 80.7195 | − | 161.118i | 0.137982 | − | 0.275415i | ||||
\(586\) | −246.700 | − | 427.297i | −0.420990 | − | 0.729176i | ||||
\(587\) | 56.3928i | 0.0960695i | 0.998846 | + | 0.0480348i | \(0.0152958\pi\) | ||||
−0.998846 | + | 0.0480348i | \(0.984704\pi\) | |||||||
\(588\) | −34.6287 | + | 291.954i | −0.0588924 | + | 0.496520i | ||||
\(589\) | −114.376 | −0.194187 | ||||||||
\(590\) | −26.4970 | + | 15.2980i | −0.0449101 | + | 0.0259289i | ||||
\(591\) | 252.678 | + | 842.506i | 0.427543 | + | 1.42556i | ||||
\(592\) | 77.4354 | − | 134.122i | 0.130803 | − | 0.226557i | ||||
\(593\) | −509.670 | + | 294.258i | −0.859477 | + | 0.496219i | −0.863837 | − | 0.503771i | \(-0.831945\pi\) |
0.00436014 | + | 0.999990i | \(0.498612\pi\) | |||||||
\(594\) | −11.7523 | + | 14.0475i | −0.0197850 | + | 0.0236491i | ||||
\(595\) | −23.3731 | − | 409.022i | −0.0392825 | − | 0.687432i | ||||
\(596\) | − | 430.993i | − | 0.723142i | ||||||
\(597\) | 199.332 | − | 842.882i | 0.333890 | − | 1.41186i | ||||
\(598\) | −198.309 | + | 343.481i | −0.331620 | + | 0.574383i | ||||
\(599\) | 301.238 | + | 173.920i | 0.502901 | + | 0.290350i | 0.729911 | − | 0.683542i | \(-0.239562\pi\) |
−0.227010 | + | 0.973892i | \(0.572895\pi\) | |||||||
\(600\) | −41.2876 | − | 9.76405i | −0.0688126 | − | 0.0162734i | ||||
\(601\) | 147.332 | 0.245145 | 0.122572 | − | 0.992460i | \(-0.460886\pi\) | ||||
0.122572 | + | 0.992460i | \(0.460886\pi\) | |||||||
\(602\) | 60.0979 | + | 91.5929i | 0.0998304 | + | 0.152148i | ||||
\(603\) | −32.0443 | − | 541.079i | −0.0531415 | − | 0.897311i | ||||
\(604\) | −196.056 | − | 339.579i | −0.324596 | − | 0.562216i | ||||
\(605\) | −233.870 | − | 135.025i | −0.386562 | − | 0.223182i | ||||
\(606\) | −513.954 | + | 154.141i | −0.848110 | + | 0.254359i | ||||
\(607\) | 182.488 | + | 316.079i | 0.300640 | + | 0.520724i | 0.976281 | − | 0.216507i | \(-0.0694664\pi\) |
−0.675641 | + | 0.737231i | \(0.736133\pi\) | |||||||
\(608\) | − | 16.8215i | − | 0.0276669i | ||||||
\(609\) | 453.196 | − | 164.638i | 0.744165 | − | 0.270342i | ||||
\(610\) | 189.519 | 0.310686 | ||||||||
\(611\) | 134.629 | − | 77.7281i | 0.220342 | − | 0.127215i | ||||
\(612\) | −211.033 | + | 421.226i | −0.344825 | + | 0.688278i | ||||
\(613\) | 443.125 | − | 767.516i | 0.722880 | − | 1.25207i | −0.236961 | − | 0.971519i | \(-0.576151\pi\) |
0.959841 | − | 0.280546i | \(-0.0905154\pi\) | |||||||
\(614\) | 446.795 | − | 257.957i | 0.727679 | − | 0.420126i | ||||
\(615\) | 76.1238 | + | 71.7489i | 0.123779 | + | 0.116665i | ||||
\(616\) | −8.48198 | − | 4.27146i | −0.0137695 | − | 0.00693419i | ||||
\(617\) | 506.561i | 0.821007i | 0.911859 | + | 0.410504i | \(0.134647\pi\) | ||||
−0.911859 | + | 0.410504i | \(0.865353\pi\) | |||||||
\(618\) | 588.502 | + | 139.174i | 0.952269 | + | 0.225201i | ||||
\(619\) | −150.553 | + | 260.766i | −0.243220 | + | 0.421269i | −0.961630 | − | 0.274351i | \(-0.911537\pi\) |
0.718410 | + | 0.695620i | \(0.244870\pi\) | |||||||
\(620\) | 148.967 | + | 86.0064i | 0.240270 | + | 0.138720i | ||||
\(621\) | −145.621 | + | 832.990i | −0.234495 | + | 1.34137i | ||||
\(622\) | 170.355 | 0.273882 | ||||||||
\(623\) | 470.369 | + | 716.871i | 0.755007 | + | 1.15068i | ||||
\(624\) | −78.1957 | − | 73.7018i | −0.125314 | − | 0.118112i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −142.568 | − | 82.3116i | −0.227744 | − | 0.131488i | ||||
\(627\) | −1.22924 | − | 4.09867i | −0.00196051 | − | 0.00653696i | ||||
\(628\) | −243.287 | − | 421.386i | −0.387400 | − | 0.670997i | ||||
\(629\) | − | 1013.40i | − | 1.61113i | ||||||
\(630\) | 197.879 | − | 23.1048i | 0.314094 | − | 0.0366742i | ||||
\(631\) | 576.201 | 0.913156 | 0.456578 | − | 0.889683i | \(-0.349075\pi\) | ||||
0.456578 | + | 0.889683i | \(0.349075\pi\) | |||||||
\(632\) | −298.689 | + | 172.448i | −0.472609 | + | 0.272861i | ||||
\(633\) | 150.569 | − | 45.1575i | 0.237866 | − | 0.0713388i | ||||
\(634\) | −89.2273 | + | 154.546i | −0.140737 | + | 0.243764i | ||||
\(635\) | 254.229 | − | 146.779i | 0.400360 | − | 0.231148i | ||||
\(636\) | −83.1618 | + | 88.2326i | −0.130758 | + | 0.138730i | ||||
\(637\) | −435.917 | + | 49.9832i | −0.684329 | + | 0.0784666i | ||||
\(638\) | 15.5753i | 0.0244126i | ||||||||
\(639\) | 194.805 | + | 295.558i | 0.304860 | + | 0.462533i | ||||
\(640\) | −12.6491 | + | 21.9089i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | −340.076 | − | 196.343i | −0.530539 | − | 0.306307i | 0.210697 | − | 0.977551i | \(-0.432427\pi\) |
−0.741236 | + | 0.671245i | \(0.765760\pi\) | |||||||
\(642\) | 34.1957 | − | 144.597i | 0.0532643 | − | 0.225230i | ||||
\(643\) | 1004.01 | 1.56145 | 0.780723 | − | 0.624877i | \(-0.214851\pi\) | ||||
0.780723 | + | 0.624877i | \(0.214851\pi\) | |||||||
\(644\) | −437.757 | + | 25.0151i | −0.679747 | + | 0.0388434i | ||||
\(645\) | 50.9160 | − | 54.0207i | 0.0789396 | − | 0.0837530i | ||||
\(646\) | −55.0359 | − | 95.3250i | −0.0851949 | − | 0.147562i | ||||
\(647\) | 374.356 | + | 216.135i | 0.578603 | + | 0.334057i | 0.760578 | − | 0.649246i | \(-0.224916\pi\) |
−0.181975 | + | 0.983303i | \(0.558249\pi\) | |||||||
\(648\) | −210.542 | − | 90.3320i | −0.324911 | − | 0.139401i | ||||
\(649\) | 2.32044 | + | 4.01912i | 0.00357541 | + | 0.00619279i | ||||
\(650\) | − | 63.3183i | − | 0.0974128i | ||||||
\(651\) | −795.371 | − | 140.744i | −1.22177 | − | 0.216196i | ||||
\(652\) | 273.671 | 0.419740 | ||||||||
\(653\) | −774.057 | + | 446.902i | −1.18539 | + | 0.684383i | −0.957255 | − | 0.289247i | \(-0.906595\pi\) |
−0.228132 | + | 0.973630i | \(0.573262\pi\) | |||||||
\(654\) | −183.282 | − | 611.119i | −0.280248 | − | 0.934433i | ||||
\(655\) | 83.1761 | − | 144.065i | 0.126986 | − | 0.219947i | ||||
\(656\) | 54.0191 | − | 31.1880i | 0.0823462 | − | 0.0475426i | ||||
\(657\) | 76.4016 | + | 1290.07i | 0.116289 | + | 1.96357i | ||||
\(658\) | 153.496 | + | 77.2992i | 0.233276 | + | 0.117476i | ||||
\(659\) | − | 137.730i | − | 0.208998i | −0.994525 | − | 0.104499i | \(-0.966676\pi\) | ||
0.994525 | − | 0.104499i | \(-0.0333240\pi\) | |||||||
\(660\) | −1.48103 | + | 6.26259i | −0.00224399 | + | 0.00948877i | ||||
\(661\) | 341.795 | − | 592.007i | 0.517088 | − | 0.895623i | −0.482715 | − | 0.875778i | \(-0.660349\pi\) |
0.999803 | − | 0.0198455i | \(-0.00631744\pi\) | |||||||
\(662\) | −447.866 | − | 258.576i | −0.676535 | − | 0.390598i | ||||
\(663\) | −684.258 | − | 161.819i | −1.03206 | − | 0.244072i | ||||
\(664\) | 307.778 | 0.463522 | ||||||||
\(665\) | −20.9349 | + | 41.5712i | −0.0314811 | + | 0.0625131i | ||||
\(666\) | 491.934 | − | 29.1338i | 0.738639 | − | 0.0437444i | ||||
\(667\) | 359.557 | + | 622.772i | 0.539067 | + | 0.933691i | ||||
\(668\) | 402.149 | + | 232.181i | 0.602019 | + | 0.347576i | ||||
\(669\) | −496.030 | + | 148.766i | −0.741451 | + | 0.222370i | ||||
\(670\) | −95.2244 | − | 164.933i | −0.142126 | − | 0.246169i | ||||
\(671\) | − | 28.7466i | − | 0.0428414i | ||||||
\(672\) | 20.6994 | − | 116.977i | 0.0308027 | − | 0.174072i | ||||
\(673\) | 446.700 | 0.663745 | 0.331872 | − | 0.943324i | \(-0.392320\pi\) | ||||
0.331872 | + | 0.943324i | \(0.392320\pi\) | |||||||
\(674\) | 534.361 | − | 308.513i | 0.792820 | − | 0.457735i | ||||
\(675\) | −46.3584 | − | 126.791i | −0.0686792 | − | 0.187838i | ||||
\(676\) | −88.8158 | + | 153.834i | −0.131384 | + | 0.227564i | ||||
\(677\) | −1122.42 | + | 648.030i | −1.65793 | + | 0.957209i | −0.684268 | + | 0.729231i | \(0.739878\pi\) |
−0.973666 | + | 0.227978i | \(0.926789\pi\) | |||||||
\(678\) | −490.154 | − | 461.984i | −0.722940 | − | 0.681392i | ||||
\(679\) | −58.7746 | − | 1028.54i | −0.0865606 | − | 1.51478i | ||||
\(680\) | 165.539i | 0.243440i | ||||||||
\(681\) | 695.806 | + | 164.550i | 1.02174 | + | 0.241630i | ||||
\(682\) | 13.0456 | − | 22.5957i | 0.0191285 | − | 0.0331316i | ||||
\(683\) | −855.051 | − | 493.664i | −1.25190 | − | 0.722788i | −0.280417 | − | 0.959878i | \(-0.590473\pi\) |
−0.971488 | + | 0.237091i | \(0.923806\pi\) | |||||||
\(684\) | 44.6913 | − | 29.4565i | 0.0653382 | − | 0.0430651i | ||||
\(685\) | −214.092 | −0.312543 | ||||||||
\(686\) | −310.577 | − | 372.612i | −0.452736 | − | 0.543167i | ||||
\(687\) | −110.757 | − | 104.392i | −0.161219 | − | 0.151953i | ||||
\(688\) | −22.1323 | − | 38.3342i | −0.0321690 | − | 0.0557184i | ||||
\(689\) | −156.709 | − | 90.4763i | −0.227445 | − | 0.131315i | ||||
\(690\) | 85.3544 | + | 284.598i | 0.123702 | + | 0.412460i | ||||
\(691\) | 595.226 | + | 1030.96i | 0.861398 | + | 1.49199i | 0.870579 | + | 0.492028i | \(0.163744\pi\) |
−0.00918099 | + | 0.999958i | \(0.502922\pi\) | |||||||
\(692\) | − | 257.740i | − | 0.372457i | ||||||
\(693\) | −3.50458 | − | 30.0148i | −0.00505712 | − | 0.0433113i | ||||
\(694\) | 605.876 | 0.873020 | ||||||||
\(695\) | 152.601 | − | 88.1045i | 0.219570 | − | 0.126769i | ||||
\(696\) | −186.616 | + | 55.9684i | −0.268126 | + | 0.0804144i | ||||
\(697\) | 204.079 | − | 353.475i | 0.292796 | − | 0.507138i | ||||
\(698\) | 56.6624 | − | 32.7140i | 0.0811782 | − | 0.0468682i | ||||
\(699\) | −465.258 | + | 493.627i | −0.665604 | + | 0.706190i | ||||
\(700\) | 58.5263 | − | 38.4015i | 0.0836089 | − | 0.0548593i | ||||
\(701\) | 369.332i | 0.526865i | 0.964678 | + | 0.263432i | \(0.0848546\pi\) | ||||
−0.964678 | + | 0.263432i | \(0.915145\pi\) | |||||||
\(702\) | 58.8804 | − | 336.811i | 0.0838752 | − | 0.479788i | ||||
\(703\) | −57.5664 | + | 99.7080i | −0.0818868 | + | 0.141832i | ||||
\(704\) | 3.32319 | + | 1.91865i | 0.00472044 | + | 0.00272535i | ||||
\(705\) | 26.8018 | − | 113.332i | 0.0380167 | − | 0.160755i | ||||
\(706\) | −80.9707 | −0.114689 | ||||||||
\(707\) | 398.187 | − | 790.695i | 0.563207 | − | 1.11838i | ||||
\(708\) | −39.8171 | + | 42.2449i | −0.0562388 | + | 0.0596680i | ||||
\(709\) | −478.077 | − | 828.054i | −0.674298 | − | 1.16792i | −0.976674 | − | 0.214730i | \(-0.931113\pi\) |
0.302376 | − | 0.953189i | \(-0.402220\pi\) | |||||||
\(710\) | 107.714 | + | 62.1884i | 0.151709 | + | 0.0875894i | ||||
\(711\) | −981.200 | − | 491.578i | −1.38003 | − | 0.691390i | ||||
\(712\) | −173.223 | − | 300.031i | −0.243291 | − | 0.421392i | ||||
\(713\) | − | 1204.64i | − | 1.68954i | ||||||
\(714\) | −265.419 | − | 730.613i | −0.371735 | − | 1.02327i | ||||
\(715\) | −9.60426 | −0.0134325 | ||||||||
\(716\) | −548.269 | + | 316.543i | −0.765739 | + | 0.442100i | ||||
\(717\) | 166.377 | + | 554.751i | 0.232046 | + | 0.773712i | ||||
\(718\) | −73.8382 | + | 127.892i | −0.102839 | + | 0.178122i | ||||
\(719\) | −267.998 | + | 154.729i | −0.372738 | + | 0.215200i | −0.674654 | − | 0.738134i | \(-0.735707\pi\) |
0.301916 | + | 0.953334i | \(0.402374\pi\) | |||||||
\(720\) | −80.3576 | + | 4.75902i | −0.111608 | + | 0.00660975i | ||||
\(721\) | −834.218 | + | 547.365i | −1.15703 | + | 0.759175i | ||||
\(722\) | − | 498.026i | − | 0.689786i | ||||||
\(723\) | −279.083 | + | 1180.11i | −0.386007 | + | 1.63224i | ||||
\(724\) | 96.2620 | − | 166.731i | 0.132959 | − | 0.230291i | ||||
\(725\) | −99.4228 | − | 57.4018i | −0.137135 | − | 0.0791749i | ||||
\(726\) | −498.630 | − | 117.920i | −0.686818 | − | 0.162425i | ||||
\(727\) | 184.211 | 0.253384 | 0.126692 | − | 0.991942i | \(-0.459564\pi\) | ||||
0.126692 | + | 0.991942i | \(0.459564\pi\) | |||||||
\(728\) | 177.003 | − | 10.1146i | 0.243135 | − | 0.0138937i | ||||
\(729\) | −128.692 | − | 717.551i | −0.176532 | − | 0.984295i | ||||
\(730\) | 227.039 | + | 393.243i | 0.311012 | + | 0.538688i | ||||
\(731\) | −250.841 | − | 144.823i | −0.343147 | − | 0.198116i | ||||
\(732\) | 344.429 | − | 103.299i | 0.470532 | − | 0.141118i | ||||
\(733\) | 566.582 | + | 981.348i | 0.772963 | + | 1.33881i | 0.935932 | + | 0.352180i | \(0.114559\pi\) |
−0.162970 | + | 0.986631i | \(0.552107\pi\) | |||||||
\(734\) | − | 12.1898i | − | 0.0166074i | ||||||
\(735\) | −196.736 | + | 263.325i | −0.267668 | + | 0.358265i | ||||
\(736\) | 177.169 | 0.240719 | ||||||||
\(737\) | −25.0175 | + | 14.4438i | −0.0339450 | + | 0.0195982i | ||||
\(738\) | 177.454 | + | 88.9040i | 0.240453 | + | 0.120466i | ||||
\(739\) | 148.310 | − | 256.880i | 0.200690 | − | 0.347605i | −0.748061 | − | 0.663630i | \(-0.769015\pi\) |
0.948751 | + | 0.316025i | \(0.102348\pi\) | |||||||
\(740\) | 149.953 | − | 86.5754i | 0.202639 | − | 0.116994i | ||||
\(741\) | 58.1317 | + | 54.7908i | 0.0784503 | + | 0.0739417i | ||||
\(742\) | −11.4129 | − | 199.722i | −0.0153812 | − | 0.269167i | ||||
\(743\) | − | 525.784i | − | 0.707650i | −0.935312 | − | 0.353825i | \(-0.884881\pi\) | ||
0.935312 | − | 0.353825i | \(-0.115119\pi\) | |||||||
\(744\) | 317.611 | + | 75.1114i | 0.426896 | + | 0.100956i | ||||
\(745\) | 240.932 | − | 417.307i | 0.323399 | − | 0.560144i | ||||
\(746\) | 687.233 | + | 396.774i | 0.921224 | + | 0.531869i | ||||
\(747\) | 538.957 | + | 817.705i | 0.721496 | + | 1.09465i | ||||
\(748\) | 25.1094 | 0.0335687 | ||||||||
\(749\) | 134.490 | + | 204.971i | 0.179559 | + | 0.273659i | ||||
\(750\) | −34.5182 | − | 32.5345i | −0.0460243 | − | 0.0433793i | ||||
\(751\) | 113.162 | + | 196.003i | 0.150682 | + | 0.260989i | 0.931478 | − | 0.363797i | \(-0.118520\pi\) |
−0.780796 | + | 0.624786i | \(0.785186\pi\) | |||||||
\(752\) | −60.1387 | − | 34.7211i | −0.0799717 | − | 0.0461717i | ||||
\(753\) | 91.3882 | + | 304.717i | 0.121366 | + | 0.404670i | ||||
\(754\) | −145.383 | − | 251.811i | −0.192816 | − | 0.333967i | ||||
\(755\) | − | 438.394i | − | 0.580654i | ||||||
\(756\) | 347.030 | − | 149.846i | 0.459035 | − | 0.198209i | ||||
\(757\) | 457.213 | 0.603981 | 0.301990 | − | 0.953311i | \(-0.402349\pi\) | ||||
0.301990 | + | 0.953311i | \(0.402349\pi\) | |||||||
\(758\) | −528.976 | + | 305.405i | −0.697858 | + | 0.402909i | ||||
\(759\) | 43.1684 | − | 12.9467i | 0.0568754 | − | 0.0170576i | ||||
\(760\) | 9.40351 | − | 16.2874i | 0.0123730 | − | 0.0214307i | ||||
\(761\) | 1011.97 | − | 584.261i | 1.32979 | − | 0.767754i | 0.344522 | − | 0.938778i | \(-0.388041\pi\) |
0.985267 | + | 0.171024i | \(0.0547076\pi\) | |||||||
\(762\) | 382.030 | − | 405.324i | 0.501352 | − | 0.531922i | ||||
\(763\) | 940.179 | + | 473.466i | 1.23221 | + | 0.620533i | ||||
\(764\) | − | 70.2072i | − | 0.0918943i | ||||||
\(765\) | −439.805 | + | 289.880i | −0.574908 | + | 0.378928i | ||||
\(766\) | 477.488 | − | 827.033i | 0.623352 | − | 1.07968i | ||||
\(767\) | −75.0310 | − | 43.3192i | −0.0978240 | − | 0.0564787i | ||||
\(768\) | −11.0468 | + | 46.7116i | −0.0143838 | + | 0.0608223i | ||||
\(769\) | 176.135 | 0.229044 | 0.114522 | − | 0.993421i | \(-0.463466\pi\) | ||||
0.114522 | + | 0.993421i | \(0.463466\pi\) | |||||||
\(770\) | −5.82483 | − | 8.87740i | −0.00756471 | − | 0.0115291i | ||||
\(771\) | −751.411 | + | 797.229i | −0.974593 | + | 1.03402i | ||||
\(772\) | −250.224 | − | 433.401i | −0.324125 | − | 0.561401i | ||||
\(773\) | 263.769 | + | 152.287i | 0.341228 | + | 0.197008i | 0.660815 | − | 0.750549i | \(-0.270211\pi\) |
−0.319587 | + | 0.947557i | \(0.603544\pi\) | |||||||
\(774\) | 63.0900 | − | 125.929i | 0.0815116 | − | 0.162699i | ||||
\(775\) | 96.1581 | + | 166.551i | 0.124075 | + | 0.214904i | ||||
\(776\) | 416.270i | 0.536430i | ||||||||
\(777\) | −523.011 | + | 622.531i | −0.673115 | + | 0.801198i | ||||
\(778\) | 78.7028 | 0.101160 | ||||||||
\(779\) | −40.1585 | + | 23.1855i | −0.0515513 | + | 0.0297632i | ||||
\(780\) | −34.5122 | − | 115.074i | −0.0442464 | − | 0.147531i | ||||
\(781\) | 9.43288 | − | 16.3382i | 0.0120780 | − | 0.0209196i | ||||
\(782\) | 1003.99 | − | 579.655i | 1.28388 | − | 0.741246i | ||||
\(783\) | −475.484 | − | 397.793i | −0.607259 | − | 0.508038i | ||||
\(784\) | 116.698 | + | 157.472i | 0.148850 | + | 0.200858i | ||||
\(785\) | − | 544.007i | − | 0.693003i | ||||||
\(786\) | 72.6396 | − | 307.159i | 0.0924168 | − | 0.390787i | ||||
\(787\) | −135.121 | + | 234.036i | −0.171691 | + | 0.297378i | −0.939011 | − | 0.343886i | \(-0.888256\pi\) |
0.767320 | + | 0.641264i | \(0.221590\pi\) | |||||||
\(788\) | 507.827 | + | 293.194i | 0.644450 | + | 0.372073i | ||||
\(789\) | 1158.74 | + | 274.030i | 1.46862 | + | 0.347313i | ||||
\(790\) | −385.606 | −0.488109 | ||||||||
\(791\) | 1109.50 | − | 63.4013i | 1.40266 | − | 0.0801534i | ||||
\(792\) | 0.721859 | + | 12.1888i | 0.000911438 | + | 0.0153899i | ||||
\(793\) | 268.328 | + | 464.758i | 0.338371 | + | 0.586076i | ||||
\(794\) | 129.843 | + | 74.9649i | 0.163530 | + | 0.0944143i | ||||
\(795\) | −129.845 | + | 38.9420i | −0.163327 | + | 0.0489836i | ||||
\(796\) | −288.710 | − | 500.061i | −0.362702 | − | 0.628217i | ||||
\(797\) | − | 431.554i | − | 0.541473i | −0.962654 | − | 0.270736i | \(-0.912733\pi\) | ||
0.962654 | − | 0.270736i | \(-0.0872671\pi\) | |||||||
\(798\) | −15.3882 | + | 86.9619i | −0.0192835 | + | 0.108975i | ||||
\(799\) | −454.397 | −0.568707 | ||||||||
\(800\) | −24.4949 | + | 14.1421i | −0.0306186 | + | 0.0176777i | ||||
\(801\) | 493.787 | − | 985.609i | 0.616463 | − | 1.23047i | ||||
\(802\) | 401.391 | − | 695.230i | 0.500488 | − | 0.866871i | ||||
\(803\) | 59.6479 | − | 34.4377i | 0.0742813 | − | 0.0428864i | ||||
\(804\) | −262.958 | − | 247.846i | −0.327063 | − | 0.308266i | ||||
\(805\) | −437.840 | − | 220.493i | −0.543901 | − | 0.273904i | ||||
\(806\) | 487.085i | 0.604324i | ||||||||
\(807\) | −1210.47 | − | 286.263i | −1.49996 | − | 0.354725i | ||||
\(808\) | −178.857 | + | 309.790i | −0.221358 | + | 0.383403i | ||||
\(809\) | 1020.39 | + | 589.123i | 1.26130 | + | 0.728212i | 0.973326 | − | 0.229426i | \(-0.0736850\pi\) |
0.287974 | + | 0.957638i | \(0.407018\pi\) | |||||||
\(810\) | −153.360 | − | 205.160i | −0.189333 | − | 0.253284i | ||||
\(811\) | 116.133 | 0.143197 | 0.0715987 | − | 0.997434i | \(-0.477190\pi\) | ||||
0.0715987 | + | 0.997434i | \(0.477190\pi\) | |||||||
\(812\) | 144.581 | − | 287.100i | 0.178056 | − | 0.353571i | ||||
\(813\) | −13.4784 | − | 12.7038i | −0.0165786 | − | 0.0156258i | ||||
\(814\) | −13.1319 | − | 22.7452i | −0.0161326 | − | 0.0279425i | ||||
\(815\) | 264.981 | + | 152.987i | 0.325129 | + | 0.187714i | ||||
\(816\) | 90.2286 | + | 300.850i | 0.110574 | + | 0.368689i | ||||
\(817\) | 16.4534 | + | 28.4981i | 0.0201388 | + | 0.0348815i | ||||
\(818\) | 573.407i | 0.700986i | ||||||||
\(819\) | 336.825 | + | 452.548i | 0.411264 | + | 0.552562i | ||||
\(820\) | 69.7384 | 0.0850468 | ||||||||
\(821\) | 64.8594 | − | 37.4466i | 0.0790005 | − | 0.0456110i | −0.459979 | − | 0.887930i | \(-0.652143\pi\) |
0.538980 | + | 0.842319i | \(0.318810\pi\) | |||||||
\(822\) | −389.089 | + | 116.692i | −0.473344 | + | 0.141962i | ||||
\(823\) | 424.499 | − | 735.254i | 0.515795 | − | 0.893383i | −0.484037 | − | 0.875048i | \(-0.660830\pi\) |
0.999832 | − | 0.0183355i | \(-0.00583671\pi\) | |||||||
\(824\) | 349.144 | − | 201.578i | 0.423718 | − | 0.244634i | ||||
\(825\) | −4.93490 | + | 5.23581i | −0.00598170 | + | 0.00634643i | ||||
\(826\) | −5.46438 | − | 95.6249i | −0.00661547 | − | 0.115769i | ||||
\(827\) | − | 1133.71i | − | 1.37087i | −0.728134 | − | 0.685435i | \(-0.759612\pi\) | ||
0.728134 | − | 0.685435i | \(-0.240388\pi\) | |||||||
\(828\) | 310.245 | + | 470.702i | 0.374692 | + | 0.568481i | ||||
\(829\) | 371.475 | − | 643.413i | 0.448100 | − | 0.776132i | −0.550163 | − | 0.835058i | \(-0.685434\pi\) |
0.998262 | + | 0.0589260i | \(0.0187676\pi\) | |||||||
\(830\) | 298.005 | + | 172.053i | 0.359042 | + | 0.207293i | ||||
\(831\) | −73.3398 | + | 310.119i | −0.0882549 | + | 0.373188i | ||||
\(832\) | −71.6365 | −0.0861016 | ||||||||
\(833\) | 1176.52 | + | 510.564i | 1.41239 | + | 0.612922i | ||||
\(834\) | 229.315 | − | 243.297i | 0.274957 | − | 0.291723i | ||||
\(835\) | 259.586 | + | 449.616i | 0.310881 | + | 0.538462i | ||||
\(836\) | −2.47050 | − | 1.42635i | −0.00295515 | − | 0.00170615i | ||||
\(837\) | 356.619 | + | 975.356i | 0.426068 | + | 1.16530i | ||||
\(838\) | −145.748 | − | 252.443i | −0.173924 | − | 0.301245i | ||||
\(839\) | 1125.31i | 1.34125i | 0.741797 | + | 0.670624i | \(0.233974\pi\) | ||||
−0.741797 | + | 0.670624i | \(0.766026\pi\) | |||||||
\(840\) | 85.4341 | − | 101.691i | 0.101707 | − | 0.121060i | ||||
\(841\) | 313.806 | 0.373134 | ||||||||
\(842\) | −534.699 | + | 308.709i | −0.635035 | + | 0.366638i | ||||
\(843\) | 36.7398 | + | 122.502i | 0.0435822 | + | 0.145316i | ||||
\(844\) | 52.3983 | − | 90.7565i | 0.0620833 | − | 0.107531i | ||||
\(845\) | −171.991 | + | 99.2991i | −0.203540 | + | 0.117514i | ||||
\(846\) | −13.0633 | − | 220.577i | −0.0154412 | − | 0.260730i | ||||
\(847\) | 706.821 | − | 463.775i | 0.834500 | − | 0.547550i | ||||
\(848\) | 80.8314i | 0.0953201i | ||||||||
\(849\) | −135.385 | + | 572.480i | −0.159464 | + | 0.674299i | ||||
\(850\) | −92.5393 | + | 160.283i | −0.108870 | + | 0.188568i | ||||
\(851\) | −1050.15 | − | 606.307i | −1.23402 | − | 0.712464i | ||||
\(852\) | 229.654 | + | 54.3106i | 0.269547 | + | 0.0637449i | ||||
\(853\) | −1482.96 | −1.73852 | −0.869259 | − | 0.494357i | \(-0.835404\pi\) | ||||
−0.869259 | + | 0.494357i | \(0.835404\pi\) | |||||||
\(854\) | −266.848 | + | 529.889i | −0.312468 | + | 0.620478i | ||||
\(855\) | 59.7389 | − | 3.53792i | 0.0698700 | − | 0.00413791i | ||||
\(856\) | −49.5286 | − | 85.7861i | −0.0578605 | − | 0.100217i | ||||
\(857\) | −1204.24 | − | 695.271i | −1.40519 | − | 0.811284i | −0.410267 | − | 0.911965i | \(-0.634564\pi\) |
−0.994919 | + | 0.100681i | \(0.967898\pi\) | |||||||
\(858\) | −17.4547 | + | 5.23488i | −0.0203435 | + | 0.00610126i | ||||
\(859\) | −558.935 | − | 968.104i | −0.650681 | − | 1.12701i | −0.982958 | − | 0.183831i | \(-0.941150\pi\) |
0.332277 | − | 0.943182i | \(-0.392183\pi\) | |||||||
\(860\) | − | 49.4893i | − | 0.0575457i | ||||||
\(861\) | −307.793 | + | 111.816i | −0.357483 | + | 0.129867i | ||||
\(862\) | −186.668 | −0.216553 | ||||||||
\(863\) | −1324.72 | + | 764.828i | −1.53502 | + | 0.886243i | −0.535899 | + | 0.844282i | \(0.680027\pi\) |
−0.999119 | + | 0.0419613i | \(0.986639\pi\) | |||||||
\(864\) | −143.447 | + | 52.4486i | −0.166027 | + | 0.0607044i | ||||
\(865\) | 144.081 | − | 249.556i | 0.166568 | − | 0.288504i | ||||
\(866\) | −278.946 | + | 161.050i | −0.322109 | + | 0.185970i | ||||
\(867\) | 864.698 | + | 815.003i | 0.997344 | + | 0.940026i | ||||
\(868\) | −450.222 | + | 295.409i | −0.518689 | + | 0.340333i | ||||
\(869\) | 58.4895i | 0.0673067i | ||||||||
\(870\) | −211.977 | − | 50.1303i | −0.243652 | − | 0.0576210i | ||||
\(871\) | 269.645 | − | 467.039i | 0.309581 | − | 0.536210i | ||||
\(872\) | −368.356 | − | 212.671i | −0.422427 | − | 0.243888i | ||||
\(873\) | −1105.94 | + | 728.939i | −1.26683 | + | 0.834982i | ||||
\(874\) | −131.710 | −0.150698 | ||||||||
\(875\) | 78.1349 | − | 4.46493i | 0.0892970 | − | 0.00510278i | ||||
\(876\) | 626.958 | + | 590.926i | 0.715706 | + | 0.674574i | ||||
\(877\) | −530.935 | − | 919.606i | −0.605399 | − | 1.04858i | −0.991988 | − | 0.126330i | \(-0.959680\pi\) |
0.386590 | − | 0.922252i | \(-0.373653\pi\) | |||||||
\(878\) | −491.915 | − | 284.007i | −0.560268 | − | 0.323471i | ||||
\(879\) | −300.675 | − | 1002.54i | −0.342065 | − | 1.14055i | ||||
\(880\) | 2.14511 | + | 3.71544i | 0.00243763 | + | 0.00422209i | ||||
\(881\) | 286.464i | 0.325157i | 0.986696 | + | 0.162579i | \(0.0519811\pi\) | ||||
−0.986696 | + | 0.162579i | \(0.948019\pi\) | |||||||
\(882\) | −214.019 | + | 585.797i | −0.242652 | + | 0.664169i | ||||
\(883\) | −1465.53 | −1.65972 | −0.829859 | − | 0.557973i | \(-0.811579\pi\) | ||||
−0.829859 | + | 0.557973i | \(0.811579\pi\) | |||||||
\(884\) | −405.954 | + | 234.377i | −0.459223 | + | 0.265133i | ||||
\(885\) | −62.1683 | + | 18.6450i | −0.0702467 | + | 0.0210679i | ||||
\(886\) | −157.156 | + | 272.202i | −0.177377 | + | 0.307226i | ||||
\(887\) | 564.957 | − | 326.178i | 0.636930 | − | 0.367732i | −0.146501 | − | 0.989211i | \(-0.546801\pi\) |
0.783431 | + | 0.621479i | \(0.213468\pi\) | |||||||
\(888\) | 225.335 | − | 239.074i | 0.253755 | − | 0.269228i | ||||
\(889\) | 52.4287 | + | 917.485i | 0.0589749 | + | 1.03204i | ||||
\(890\) | − | 387.338i | − | 0.435212i | ||||||
\(891\) | −31.1192 | + | 23.2620i | −0.0349261 | + | 0.0261077i | ||||
\(892\) | −172.619 | + | 298.986i | −0.193520 | + | 0.335186i | ||||
\(893\) | 44.7079 | + | 25.8121i | 0.0500648 | + | 0.0289049i | ||||
\(894\) | 210.412 | − | 889.732i | 0.235360 | − | 0.995226i | ||||
\(895\) | −707.813 | −0.790852 | ||||||||
\(896\) | −43.4464 | − | 66.2149i | −0.0484892 | − | 0.0739006i | ||||
\(897\) | −577.073 | + | 612.260i | −0.643337 | + | 0.682564i | ||||
\(898\) | 90.9236 | + | 157.484i | 0.101251 | + | 0.175372i | ||||
\(899\) | 764.824 | + | 441.572i | 0.850750 | + | 0.491181i | ||||
\(900\) | −80.4663 | − | 40.3134i | −0.0894070 | − | 0.0447927i | ||||
\(901\) | 264.461 | + | 458.060i | 0.293519 | + | 0.508391i | ||||
\(902\) | − | 10.5781i | − | 0.0117274i | ||||||
\(903\) | 79.3490 | + | 218.422i | 0.0878726 | + | 0.241885i | ||||
\(904\) | −449.038 | −0.496724 | ||||||||
\(905\) | 186.411 | − | 107.624i | 0.205979 | − | 0.118922i | ||||
\(906\) | −238.950 | − | 796.733i | −0.263742 | − | 0.879397i | ||||
\(907\) | −415.837 | + | 720.250i | −0.458475 | + | 0.794102i | −0.998881 | − | 0.0473029i | \(-0.984937\pi\) |
0.540406 | + | 0.841405i | \(0.318271\pi\) | |||||||
\(908\) | 412.805 | − | 238.333i | 0.454631 | − | 0.262481i | ||||
\(909\) | −1136.25 | + | 67.2921i | −1.25000 | + | 0.0740287i | ||||
\(910\) | 177.036 | + | 89.1540i | 0.194545 | + | 0.0979714i | ||||
\(911\) | 770.979i | 0.846300i | 0.906060 | + | 0.423150i | \(0.139076\pi\) | ||||
−0.906060 | + | 0.423150i | \(0.860924\pi\) | |||||||
\(912\) | 8.21230 | − | 34.7259i | 0.00900471 | − | 0.0380767i | ||||
\(913\) | 26.0974 | − | 45.2021i | 0.0285843 | − | 0.0495094i | ||||
\(914\) | −222.468 | − | 128.442i | −0.243400 | − | 0.140527i | ||||
\(915\) | 391.238 | + | 92.5235i | 0.427583 | + | 0.101119i | ||||
\(916\) | −101.467 | −0.110771 | ||||||||
\(917\) | 285.688 | + | 435.406i | 0.311546 | + | 0.474816i | ||||
\(918\) | −641.296 | + | 766.544i | −0.698580 | + | 0.835015i | ||||
\(919\) | −696.371 | − | 1206.15i | −0.757748 | − | 1.31246i | −0.943996 | − | 0.329956i | \(-0.892966\pi\) |
0.186248 | − | 0.982503i | \(-0.440367\pi\) | |||||||
\(920\) | 171.543 | + | 99.0405i | 0.186460 | + | 0.107653i | ||||
\(921\) | 1048.29 | − | 314.395i | 1.13821 | − | 0.341362i | ||||
\(922\) | 394.377 | + | 683.081i | 0.427741 | + | 0.740869i | ||||
\(923\) | 352.196i | 0.381577i | ||||||||
\(924\) | −15.4247 | − | 12.9588i | −0.0166934 | − | 0.0140247i | ||||
\(925\) | 193.588 | 0.209285 | ||||||||
\(926\) | −163.775 | + | 94.5555i | −0.176863 | + | 0.102112i | ||||
\(927\) | 1146.95 | + | 574.617i | 1.23727 | + | 0.619867i | ||||
\(928\) | −64.9427 | + | 112.484i | −0.0699814 | + | 0.121211i | ||||
\(929\) | −1113.84 | + | 643.079i | −1.19897 | + | 0.692227i | −0.960326 | − | 0.278880i | \(-0.910037\pi\) |
−0.238646 | + | 0.971107i | \(0.576704\pi\) | |||||||
\(930\) | 265.537 | + | 250.276i | 0.285523 | + | 0.269114i | ||||
\(931\) | −86.7549 | − | 117.067i | −0.0931847 | − | 0.125743i | ||||
\(932\) | 452.220i | 0.485215i | ||||||||
\(933\) | 351.677 | + | 83.1677i | 0.376931 | + | 0.0891401i | ||||
\(934\) | −230.133 | + | 398.602i | −0.246395 | + | 0.426769i | ||||
\(935\) | 24.3121 | + | 14.0366i | 0.0260022 | + | 0.0150124i | ||||
\(936\) | −125.444 | − | 190.324i | −0.134022 | − | 0.203337i | ||||
\(937\) | −759.484 | −0.810549 | −0.405274 | − | 0.914195i | \(-0.632824\pi\) | ||||
−0.405274 | + | 0.914195i | \(0.632824\pi\) | |||||||
\(938\) | 595.228 | − | 34.0136i | 0.634571 | − | 0.0362619i | ||||
\(939\) | −254.129 | − | 239.524i | −0.270638 | − | 0.255084i | ||||
\(940\) | −38.8194 | − | 67.2372i | −0.0412972 | − | 0.0715289i | ||||
\(941\) | 300.339 | + | 173.401i | 0.319170 | + | 0.184273i | 0.651023 | − | 0.759058i | \(-0.274340\pi\) |
−0.331852 | + | 0.943331i | \(0.607674\pi\) | |||||||
\(942\) | −296.515 | − | 988.674i | −0.314772 | − | 1.04955i | ||||
\(943\) | −244.197 | − | 422.961i | −0.258957 | − | 0.448527i | ||||
\(944\) | 38.7013i | 0.0409972i | ||||||||
\(945\) | 419.777 | + | 48.9081i | 0.444209 | + | 0.0517546i | ||||
\(946\) | −7.50665 | −0.00793514 | ||||||||
\(947\) | −162.504 | + | 93.8215i | −0.171598 | + | 0.0990724i | −0.583339 | − | 0.812229i | \(-0.698254\pi\) |
0.411741 | + | 0.911301i | \(0.364921\pi\) | |||||||
\(948\) | −700.797 | + | 210.178i | −0.739237 | + | 0.221706i | ||||
\(949\) | −642.901 | + | 1113.54i | −0.677451 | + | 1.17338i | ||||
\(950\) | 18.2098 | − | 10.5134i | 0.0191682 | − | 0.0110668i | ||||
\(951\) | −259.649 | + | 275.481i | −0.273027 | + | 0.289675i | ||||
\(952\) | −462.843 | − | 233.084i | −0.486180 | − | 0.244836i | ||||
\(953\) | 798.286i | 0.837656i | 0.908066 | + | 0.418828i | \(0.137559\pi\) | ||||
−0.908066 | + | 0.418828i | \(0.862441\pi\) | |||||||
\(954\) | −214.753 | + | 141.546i | −0.225108 | + | 0.148371i | ||||
\(955\) | 39.2470 | − | 67.9779i | 0.0410964 | − | 0.0711810i | ||||
\(956\) | 334.380 | + | 193.054i | 0.349770 | + | 0.201940i | ||||
\(957\) | −7.60388 | + | 32.1532i | −0.00794554 | + | 0.0335979i | ||||
\(958\) | 99.0422 | 0.103384 | ||||||||
\(959\) | 301.447 | − | 598.595i | 0.314335 | − | 0.624186i | ||||
\(960\) | −36.8085 | + | 39.0529i | −0.0383422 | + | 0.0406801i | ||||
\(961\) | −259.210 | − | 448.965i | −0.269729 | − | 0.467185i | ||||
\(962\) | 424.619 | + | 245.154i | 0.441392 | + | 0.254838i | ||||
\(963\) | 141.186 | − | 281.809i | 0.146610 | − | 0.292637i | ||||
\(964\) | 404.221 | + | 700.132i | 0.419317 | + | 0.726277i | ||||
\(965\) | − | 559.519i | − | 0.579812i | ||||||
\(966\) | −915.908 | − | 162.073i | −0.948145 | − | 0.167778i | ||||
\(967\) | 1897.19 | 1.96194 | 0.980968 | − | 0.194171i | \(-0.0622018\pi\) | ||||
0.980968 | + | 0.194171i | \(0.0622018\pi\) | |||||||
\(968\) | −295.825 | + | 170.794i | −0.305604 | + | 0.176441i | ||||
\(969\) | −67.0771 | − | 223.656i | −0.0692230 | − | 0.230811i | ||||
\(970\) | −232.702 | + | 403.052i | −0.239899 | + | 0.415517i | ||||
\(971\) | 238.255 | − | 137.557i | 0.245371 | − | 0.141665i | −0.372272 | − | 0.928124i | \(-0.621421\pi\) |
0.617643 | + | 0.786459i | \(0.288088\pi\) | |||||||
\(972\) | −390.539 | − | 289.267i | −0.401789 | − | 0.297600i | ||||
\(973\) | 31.4704 | + | 550.723i | 0.0323437 | + | 0.566005i | ||||
\(974\) | 918.401i | 0.942916i | ||||||||
\(975\) | 30.9122 | − | 130.713i | 0.0317048 | − | 0.134065i | ||||
\(976\) | 119.862 | − | 207.607i | 0.122810 | − | 0.212712i | ||||
\(977\) | −715.259 | − | 412.955i | −0.732097 | − | 0.422676i | 0.0870919 | − | 0.996200i | \(-0.472243\pi\) |
−0.819189 | + | 0.573524i | \(0.805576\pi\) | |||||||
\(978\) | 564.960 | + | 133.607i | 0.577669 | + | 0.136612i | ||||
\(979\) | −58.7524 | −0.0600126 | ||||||||
\(980\) | 24.9629 | + | 217.708i | 0.0254723 | + | 0.222151i | ||||
\(981\) | −80.0139 | − | 1351.06i | −0.0815636 | − | 1.37723i | ||||
\(982\) | 346.398 | + | 599.979i | 0.352747 | + | 0.610976i | ||||
\(983\) | −1251.79 | − | 722.719i | −1.27343 | − | 0.735218i | −0.297802 | − | 0.954628i | \(-0.596253\pi\) |
−0.975633 | + | 0.219410i | \(0.929587\pi\) | |||||||
\(984\) | 126.742 | − | 38.0115i | 0.128803 | − | 0.0386296i | ||||
\(985\) | 327.801 | + | 567.767i | 0.332793 | + | 0.576414i | ||||
\(986\) | 849.908i | 0.861975i | ||||||||
\(987\) | 279.136 | + | 234.512i | 0.282812 | + | 0.237601i | ||||
\(988\) | 53.2555 | 0.0539023 | ||||||||
\(989\) | −300.151 | + | 173.292i | −0.303489 | + | 0.175220i | ||||
\(990\) | −6.11483 | + | 12.2053i | −0.00617659 | + | 0.0123286i | ||||
\(991\) | −207.097 | + | 358.703i | −0.208978 | + | 0.361960i | −0.951393 | − | 0.307980i | \(-0.900347\pi\) |
0.742415 | + | 0.669940i | \(0.233680\pi\) | |||||||
\(992\) | 188.431 | − | 108.790i | 0.189950 | − | 0.109668i | ||||
\(993\) | −798.328 | − | 752.447i | −0.803955 | − | 0.757751i | ||||
\(994\) | −325.541 | + | 213.601i | −0.327506 | + | 0.214890i | ||||
\(995\) | − | 645.576i | − | 0.648820i | ||||||
\(996\) | 635.371 | + | 150.258i | 0.637923 | + | 0.150862i | ||||
\(997\) | 498.259 | − | 863.010i | 0.499758 | − | 0.865606i | −0.500242 | − | 0.865886i | \(-0.666756\pi\) |
1.00000 | 0.000279252i | \(8.88887e-5\pi\) | ||||||||
\(998\) | −471.563 | − | 272.257i | −0.472508 | − | 0.272803i | ||||
\(999\) | 1029.76 | + | 180.020i | 1.03079 | + | 0.180200i |
(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 | 210.3.s.a.11.20 | yes | 40 | |
3.2 | odd | 2 | inner | 210.3.s.a.11.4 | ✓ | 40 | |
7.2 | even | 3 | inner | 210.3.s.a.191.4 | yes | 40 | |
21.2 | odd | 6 | inner | 210.3.s.a.191.20 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.s.a.11.4 | ✓ | 40 | 3.2 | odd | 2 | inner | |
210.3.s.a.11.20 | yes | 40 | 1.1 | even | 1 | trivial | |
210.3.s.a.191.4 | yes | 40 | 7.2 | even | 3 | inner | |
210.3.s.a.191.20 | yes | 40 | 21.2 | odd | 6 | inner |