Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 229.9 | ||
Character | \(\chi\) | \(=\) | 384.229 |
Dual form | 384.2.v.a.109.9 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.788656 | − | 1.17389i | −0.557664 | − | 0.830067i | ||||
\(3\) | −0.881921 | + | 0.471397i | −0.509177 | + | 0.272161i | ||||
\(4\) | −0.756043 | + | 1.85159i | −0.378021 | + | 0.925797i | ||||
\(5\) | −0.453393 | − | 0.552461i | −0.202763 | − | 0.247068i | 0.661694 | − | 0.749774i | \(-0.269838\pi\) |
−0.864457 | + | 0.502706i | \(0.832338\pi\) | |||||||
\(6\) | 1.24890 | + | 0.663510i | 0.509862 | + | 0.270877i | ||||
\(7\) | −1.44548 | + | 0.965841i | −0.546342 | + | 0.365054i | −0.797901 | − | 0.602788i | \(-0.794056\pi\) |
0.251560 | + | 0.967842i | \(0.419056\pi\) | |||||||
\(8\) | 2.76983 | − | 0.572759i | 0.979282 | − | 0.202501i | ||||
\(9\) | 0.555570 | − | 0.831470i | 0.185190 | − | 0.277157i | ||||
\(10\) | −0.290958 | + | 0.967935i | −0.0920089 | + | 0.306088i | ||||
\(11\) | 2.30143 | − | 0.698132i | 0.693908 | − | 0.210495i | 0.0764208 | − | 0.997076i | \(-0.475651\pi\) |
0.617487 | + | 0.786581i | \(0.288151\pi\) | |||||||
\(12\) | −0.206065 | − | 1.98936i | −0.0594859 | − | 0.574278i | ||||
\(13\) | −1.74047 | − | 1.42836i | −0.482719 | − | 0.396157i | 0.361318 | − | 0.932443i | \(-0.382327\pi\) |
−0.844036 | + | 0.536286i | \(0.819827\pi\) | |||||||
\(14\) | 2.27378 | + | 0.935124i | 0.607694 | + | 0.249923i | ||||
\(15\) | 0.660285 | + | 0.273499i | 0.170485 | + | 0.0706171i | ||||
\(16\) | −2.85680 | − | 2.79977i | −0.714200 | − | 0.699942i | ||||
\(17\) | 5.03347 | − | 2.08493i | 1.22080 | − | 0.505670i | 0.323133 | − | 0.946354i | \(-0.395264\pi\) |
0.897662 | + | 0.440684i | \(0.145264\pi\) | |||||||
\(18\) | −1.41421 | + | 0.00356449i | −0.333332 | + | 0.000840158i | ||||
\(19\) | −0.389496 | − | 3.95462i | −0.0893566 | − | 0.907252i | −0.930464 | − | 0.366384i | \(-0.880596\pi\) |
0.841107 | − | 0.540868i | \(-0.181904\pi\) | |||||||
\(20\) | 1.36572 | − | 0.421815i | 0.305384 | − | 0.0943208i | ||||
\(21\) | 0.819508 | − | 1.53319i | 0.178831 | − | 0.334570i | ||||
\(22\) | −2.63457 | − | 2.15105i | −0.561692 | − | 0.458605i | ||||
\(23\) | −1.78138 | + | 0.354339i | −0.371444 | + | 0.0738847i | −0.377283 | − | 0.926098i | \(-0.623141\pi\) |
0.00583886 | + | 0.999983i | \(0.498141\pi\) | |||||||
\(24\) | −2.17277 | + | 1.81082i | −0.443516 | + | 0.369631i | ||||
\(25\) | 0.875804 | − | 4.40296i | 0.175161 | − | 0.880593i | ||||
\(26\) | −0.304115 | + | 3.16961i | −0.0596418 | + | 0.621611i | ||||
\(27\) | −0.0980171 | + | 0.995185i | −0.0188634 | + | 0.191523i | ||||
\(28\) | −0.695498 | − | 3.40667i | −0.131437 | − | 0.643799i | ||||
\(29\) | 2.69440 | − | 8.88225i | 0.500338 | − | 1.64939i | −0.235228 | − | 0.971940i | \(-0.575584\pi\) |
0.735566 | − | 0.677453i | \(-0.236916\pi\) | |||||||
\(30\) | −0.199680 | − | 0.990799i | −0.0364563 | − | 0.180894i | ||||
\(31\) | 0.759258 | + | 0.759258i | 0.136367 | + | 0.136367i | 0.771995 | − | 0.635628i | \(-0.219259\pi\) |
−0.635628 | + | 0.771995i | \(0.719259\pi\) | |||||||
\(32\) | −1.03359 | + | 5.56163i | −0.182715 | + | 0.983166i | ||||
\(33\) | −1.70059 | + | 1.70059i | −0.296034 | + | 0.296034i | ||||
\(34\) | −6.41716 | − | 4.26445i | −1.10053 | − | 0.731347i | ||||
\(35\) | 1.18896 | + | 0.360667i | 0.200971 | + | 0.0609639i | ||||
\(36\) | 1.11951 | + | 1.65732i | 0.186585 | + | 0.276219i | ||||
\(37\) | 0.701562 | + | 0.0690978i | 0.115336 | + | 0.0113596i | 0.155520 | − | 0.987833i | \(-0.450295\pi\) |
−0.0401844 | + | 0.999192i | \(0.512795\pi\) | |||||||
\(38\) | −4.33512 | + | 3.57606i | −0.703249 | + | 0.580114i | ||||
\(39\) | 2.20828 | + | 0.439254i | 0.353608 | + | 0.0703370i | ||||
\(40\) | −1.57225 | − | 1.27054i | −0.248594 | − | 0.200889i | ||||
\(41\) | −1.73814 | − | 8.73822i | −0.271452 | − | 1.36468i | −0.840248 | − | 0.542203i | \(-0.817591\pi\) |
0.568796 | − | 0.822479i | \(-0.307409\pi\) | |||||||
\(42\) | −2.44611 | + | 0.247148i | −0.377443 | + | 0.0381357i | ||||
\(43\) | −3.05435 | − | 1.63259i | −0.465785 | − | 0.248967i | 0.221771 | − | 0.975099i | \(-0.428816\pi\) |
−0.687556 | + | 0.726132i | \(0.741316\pi\) | |||||||
\(44\) | −0.447325 | + | 4.78914i | −0.0674367 | + | 0.721989i | ||||
\(45\) | −0.711246 | + | 0.0700516i | −0.106026 | + | 0.0104427i | ||||
\(46\) | 1.82085 | + | 1.81170i | 0.268470 | + | 0.267120i | ||||
\(47\) | 3.60433 | + | 8.70163i | 0.525746 | + | 1.26926i | 0.934287 | + | 0.356523i | \(0.116038\pi\) |
−0.408541 | + | 0.912740i | \(0.633962\pi\) | |||||||
\(48\) | 3.83927 | + | 1.12249i | 0.554151 | + | 0.162017i | ||||
\(49\) | −1.52221 | + | 3.67494i | −0.217459 | + | 0.524991i | ||||
\(50\) | −5.85931 | + | 2.44433i | −0.828631 | + | 0.345680i | ||||
\(51\) | −3.45629 | + | 4.21150i | −0.483978 | + | 0.589729i | ||||
\(52\) | 3.96062 | − | 2.14273i | 0.549239 | − | 0.297144i | ||||
\(53\) | −0.661557 | − | 2.18086i | −0.0908719 | − | 0.299564i | 0.899710 | − | 0.436489i | \(-0.143778\pi\) |
−0.990581 | + | 0.136925i | \(0.956278\pi\) | |||||||
\(54\) | 1.24554 | − | 0.669797i | 0.169497 | − | 0.0911478i | ||||
\(55\) | −1.42914 | − | 0.954923i | −0.192706 | − | 0.128762i | ||||
\(56\) | −3.45055 | + | 3.50313i | −0.461099 | + | 0.468125i | ||||
\(57\) | 2.20770 | + | 3.30406i | 0.292417 | + | 0.437633i | ||||
\(58\) | −12.5518 | + | 3.84211i | −1.64813 | + | 0.504494i | ||||
\(59\) | 7.60232 | − | 6.23907i | 0.989738 | − | 0.812257i | 0.00751452 | − | 0.999972i | \(-0.497608\pi\) |
0.982224 | + | 0.187715i | \(0.0601080\pi\) | |||||||
\(60\) | −1.00561 | + | 1.01580i | −0.129824 | + | 0.131140i | ||||
\(61\) | 0.233796 | + | 0.437401i | 0.0299345 | + | 0.0560034i | 0.896444 | − | 0.443157i | \(-0.146142\pi\) |
−0.866509 | + | 0.499161i | \(0.833642\pi\) | |||||||
\(62\) | 0.292493 | − | 1.49008i | 0.0371467 | − | 0.189240i | ||||
\(63\) | 1.73847i | 0.219026i | ||||||||
\(64\) | 7.34389 | − | 3.17289i | 0.917987 | − | 0.396611i | ||||
\(65\) | 1.60915i | 0.199590i | ||||||||
\(66\) | 3.33748 | + | 0.655125i | 0.410815 | + | 0.0806404i | ||||
\(67\) | −1.98855 | − | 3.72031i | −0.242939 | − | 0.454508i | 0.730669 | − | 0.682732i | \(-0.239208\pi\) |
−0.973609 | + | 0.228224i | \(0.926708\pi\) | |||||||
\(68\) | 0.0549278 | + | 10.8962i | 0.00666098 | + | 1.32136i | ||||
\(69\) | 1.40400 | − | 1.15224i | 0.169022 | − | 0.138713i | ||||
\(70\) | −0.514297 | − | 1.68015i | −0.0614703 | − | 0.200817i | ||||
\(71\) | 2.72431 | + | 4.07722i | 0.323317 | + | 0.483877i | 0.957150 | − | 0.289592i | \(-0.0935196\pi\) |
−0.633834 | + | 0.773469i | \(0.718520\pi\) | |||||||
\(72\) | 1.06260 | − | 2.62124i | 0.125229 | − | 0.308916i | ||||
\(73\) | 0.964879 | + | 0.644711i | 0.112931 | + | 0.0754578i | 0.610753 | − | 0.791821i | \(-0.290867\pi\) |
−0.497822 | + | 0.867279i | \(0.665867\pi\) | |||||||
\(74\) | −0.472178 | − | 0.878052i | −0.0548895 | − | 0.102071i | ||||
\(75\) | 1.30315 | + | 4.29592i | 0.150475 | + | 0.496050i | ||||
\(76\) | 7.61683 | + | 2.26867i | 0.873710 | + | 0.260235i | ||||
\(77\) | −2.65240 | + | 3.23196i | −0.302269 | + | 0.368316i | ||||
\(78\) | −1.22594 | − | 2.93870i | −0.138810 | − | 0.332743i | ||||
\(79\) | −0.799719 | + | 1.93069i | −0.0899754 | + | 0.217220i | −0.962461 | − | 0.271420i | \(-0.912507\pi\) |
0.872486 | + | 0.488640i | \(0.162507\pi\) | |||||||
\(80\) | −0.251510 | + | 2.84766i | −0.0281196 | + | 0.318378i | ||||
\(81\) | −0.382683 | − | 0.923880i | −0.0425204 | − | 0.102653i | ||||
\(82\) | −8.88693 | + | 8.93184i | −0.981398 | + | 0.986357i | ||||
\(83\) | −4.07908 | + | 0.401754i | −0.447737 | + | 0.0440982i | −0.319373 | − | 0.947629i | \(-0.603472\pi\) |
−0.128363 | + | 0.991727i | \(0.540972\pi\) | |||||||
\(84\) | 2.21927 | + | 2.67656i | 0.242142 | + | 0.292036i | ||||
\(85\) | −3.43398 | − | 1.83550i | −0.372467 | − | 0.199088i | ||||
\(86\) | 0.492356 | + | 4.87303i | 0.0530921 | + | 0.525472i | ||||
\(87\) | 1.81081 | + | 9.10358i | 0.194140 | + | 0.976006i | ||||
\(88\) | 5.97471 | − | 3.25187i | 0.636906 | − | 0.346651i | ||||
\(89\) | 10.4965 | + | 2.08788i | 1.11263 | + | 0.221315i | 0.716984 | − | 0.697090i | \(-0.245522\pi\) |
0.395642 | + | 0.918405i | \(0.370522\pi\) | |||||||
\(90\) | 0.643161 | + | 0.779679i | 0.0677952 | + | 0.0821853i | ||||
\(91\) | 3.89539 | + | 0.383662i | 0.408348 | + | 0.0402187i | ||||
\(92\) | 0.690709 | − | 3.56629i | 0.0720114 | − | 0.371811i | ||||
\(93\) | −1.02752 | − | 0.311694i | −0.106549 | − | 0.0323212i | ||||
\(94\) | 7.37219 | − | 11.0937i | 0.760383 | − | 1.14423i | ||||
\(95\) | −2.00818 | + | 2.00818i | −0.206035 | + | 0.206035i | ||||
\(96\) | −1.71019 | − | 5.39215i | −0.174545 | − | 0.550334i | ||||
\(97\) | 13.4124 | + | 13.4124i | 1.36182 | + | 1.36182i | 0.871593 | + | 0.490230i | \(0.163087\pi\) |
0.490230 | + | 0.871593i | \(0.336913\pi\) | |||||||
\(98\) | 5.51448 | − | 1.11136i | 0.557047 | − | 0.112264i | ||||
\(99\) | 0.698132 | − | 2.30143i | 0.0701649 | − | 0.231303i | ||||
\(100\) | 7.49035 | + | 4.95046i | 0.749035 | + | 0.495046i | ||||
\(101\) | 0.705266 | − | 7.16068i | 0.0701766 | − | 0.712515i | −0.894144 | − | 0.447779i | \(-0.852215\pi\) |
0.964321 | − | 0.264736i | \(-0.0852848\pi\) | |||||||
\(102\) | 7.66968 | + | 0.735883i | 0.759411 | + | 0.0728633i | ||||
\(103\) | −1.77920 | + | 8.94463i | −0.175310 | + | 0.881341i | 0.788558 | + | 0.614960i | \(0.210828\pi\) |
−0.963868 | + | 0.266381i | \(0.914172\pi\) | |||||||
\(104\) | −5.63890 | − | 2.95945i | −0.552940 | − | 0.290198i | ||||
\(105\) | −1.21859 | + | 0.242392i | −0.118922 | + | 0.0236550i | ||||
\(106\) | −2.03835 | + | 2.49655i | −0.197982 | + | 0.242486i | ||||
\(107\) | 1.48148 | − | 2.77165i | 0.143220 | − | 0.267946i | −0.800076 | − | 0.599899i | \(-0.795208\pi\) |
0.943296 | + | 0.331953i | \(0.107708\pi\) | |||||||
\(108\) | −1.76857 | − | 0.933890i | −0.170181 | − | 0.0898636i | ||||
\(109\) | −1.27775 | − | 12.9732i | −0.122386 | − | 1.24261i | −0.838607 | − | 0.544737i | \(-0.816630\pi\) |
0.716221 | − | 0.697874i | \(-0.245870\pi\) | |||||||
\(110\) | 0.00612670 | + | 2.43076i | 0.000584158 | + | 0.231764i | ||||
\(111\) | −0.651295 | + | 0.269775i | −0.0618181 | + | 0.0256059i | ||||
\(112\) | 6.83359 | + | 1.28780i | 0.645713 | + | 0.121686i | ||||
\(113\) | −9.71429 | − | 4.02379i | −0.913844 | − | 0.378526i | −0.124317 | − | 0.992243i | \(-0.539674\pi\) |
−0.789527 | + | 0.613716i | \(0.789674\pi\) | |||||||
\(114\) | 2.13749 | − | 5.19737i | 0.200194 | − | 0.486778i | ||||
\(115\) | 1.00342 | + | 0.823488i | 0.0935697 | + | 0.0767907i | ||||
\(116\) | 14.4092 | + | 11.7043i | 1.33786 | + | 1.08672i | ||||
\(117\) | −2.15459 | + | 0.653588i | −0.199192 | + | 0.0604243i | ||||
\(118\) | −13.3196 | − | 4.00382i | −1.22617 | − | 0.368582i | ||||
\(119\) | −5.26208 | + | 7.87526i | −0.482374 | + | 0.721924i | ||||
\(120\) | 1.98552 | + | 0.379361i | 0.181253 | + | 0.0346308i | ||||
\(121\) | −4.33696 | + | 2.89787i | −0.394269 | + | 0.263442i | ||||
\(122\) | 0.329077 | − | 0.619409i | 0.0297932 | − | 0.0560787i | ||||
\(123\) | 5.65207 | + | 6.88707i | 0.509630 | + | 0.620986i | ||||
\(124\) | −1.97987 | + | 0.831806i | −0.177797 | + | 0.0746984i | ||||
\(125\) | −5.98104 | + | 3.19693i | −0.534960 | + | 0.285942i | ||||
\(126\) | 2.04077 | − | 1.37105i | 0.181807 | − | 0.122143i | ||||
\(127\) | 6.75243 | 0.599181 | 0.299590 | − | 0.954068i | \(-0.403150\pi\) | ||||
0.299590 | + | 0.954068i | \(0.403150\pi\) | |||||||
\(128\) | −9.51643 | − | 6.11862i | −0.841142 | − | 0.540815i | ||||
\(129\) | 3.46330 | 0.304926 | ||||||||
\(130\) | 1.88897 | − | 1.26907i | 0.165673 | − | 0.111304i | ||||
\(131\) | 6.81974 | − | 3.64523i | 0.595843 | − | 0.318485i | −0.145764 | − | 0.989319i | \(-0.546564\pi\) |
0.741607 | + | 0.670834i | \(0.234064\pi\) | |||||||
\(132\) | −1.86308 | − | 4.43451i | −0.162160 | − | 0.385974i | ||||
\(133\) | 4.38255 | + | 5.34015i | 0.380015 | + | 0.463050i | ||||
\(134\) | −2.79896 | + | 5.26838i | −0.241793 | + | 0.455119i | ||||
\(135\) | 0.594241 | − | 0.397059i | 0.0511441 | − | 0.0341734i | ||||
\(136\) | 12.7477 | − | 8.65786i | 1.09310 | − | 0.742406i | ||||
\(137\) | 6.16824 | − | 9.23143i | 0.526989 | − | 0.788694i | −0.468511 | − | 0.883458i | \(-0.655209\pi\) |
0.995500 | + | 0.0947634i | \(0.0302095\pi\) | |||||||
\(138\) | −2.45988 | − | 0.739430i | −0.209399 | − | 0.0629445i | ||||
\(139\) | −11.3790 | + | 3.45179i | −0.965156 | + | 0.292777i | −0.733248 | − | 0.679961i | \(-0.761997\pi\) |
−0.231907 | + | 0.972738i | \(0.574497\pi\) | |||||||
\(140\) | −1.56671 | + | 1.92879i | −0.132412 | + | 0.163013i | ||||
\(141\) | −7.28066 | − | 5.97508i | −0.613142 | − | 0.503192i | ||||
\(142\) | 2.63767 | − | 6.41358i | 0.221348 | − | 0.538215i | ||||
\(143\) | −5.00275 | − | 2.07221i | −0.418351 | − | 0.173287i | ||||
\(144\) | −3.91507 | + | 0.819874i | −0.326256 | + | 0.0683228i | ||||
\(145\) | −6.12872 | + | 2.53860i | −0.508962 | + | 0.210819i | ||||
\(146\) | −0.00413641 | − | 1.64112i | −0.000342332 | − | 0.135820i | ||||
\(147\) | −0.389885 | − | 3.95857i | −0.0321572 | − | 0.326498i | ||||
\(148\) | −0.658352 | + | 1.24677i | −0.0541162 | + | 0.102484i | ||||
\(149\) | −6.76707 | + | 12.6603i | −0.554380 | + | 1.03717i | 0.436149 | + | 0.899874i | \(0.356342\pi\) |
−0.990530 | + | 0.137298i | \(0.956158\pi\) | |||||||
\(150\) | 4.01520 | − | 4.91776i | 0.327840 | − | 0.401534i | ||||
\(151\) | −14.2835 | + | 2.84116i | −1.16237 | + | 0.231210i | −0.738335 | − | 0.674434i | \(-0.764388\pi\) |
−0.424038 | + | 0.905645i | \(0.639388\pi\) | |||||||
\(152\) | −3.34388 | − | 10.7305i | −0.271225 | − | 0.870361i | ||||
\(153\) | 1.06289 | − | 5.34350i | 0.0859294 | − | 0.431996i | ||||
\(154\) | 5.88580 | + | 0.564725i | 0.474291 | + | 0.0455069i | ||||
\(155\) | 0.0752181 | − | 0.763702i | 0.00604166 | − | 0.0613420i | ||||
\(156\) | −2.48287 | + | 3.75674i | −0.198789 | + | 0.300780i | ||||
\(157\) | −3.76094 | + | 12.3982i | −0.300156 | + | 0.989481i | 0.669048 | + | 0.743220i | \(0.266702\pi\) |
−0.969203 | + | 0.246262i | \(0.920798\pi\) | |||||||
\(158\) | 2.89713 | − | 0.583869i | 0.230483 | − | 0.0464501i | ||||
\(159\) | 1.61149 | + | 1.61149i | 0.127800 | + | 0.127800i | ||||
\(160\) | 3.54120 | − | 1.95058i | 0.279957 | − | 0.154207i | ||||
\(161\) | 2.23272 | − | 2.23272i | 0.175963 | − | 0.175963i | ||||
\(162\) | −0.782729 | + | 1.17785i | −0.0614970 | + | 0.0925408i | ||||
\(163\) | −17.2415 | − | 5.23014i | −1.35045 | − | 0.409656i | −0.469532 | − | 0.882916i | \(-0.655577\pi\) |
−0.880923 | + | 0.473260i | \(0.843077\pi\) | |||||||
\(164\) | 17.4938 | + | 3.38814i | 1.36603 | + | 0.264569i | ||||
\(165\) | 1.71054 | + | 0.168473i | 0.133165 | + | 0.0131156i | ||||
\(166\) | 3.68860 | + | 4.47155i | 0.286291 | + | 0.347059i | ||||
\(167\) | −21.8269 | − | 4.34165i | −1.68902 | − | 0.335967i | −0.745303 | − | 0.666726i | \(-0.767695\pi\) |
−0.943715 | + | 0.330759i | \(0.892695\pi\) | |||||||
\(168\) | 1.39175 | − | 4.71606i | 0.107376 | − | 0.363852i | ||||
\(169\) | −1.54717 | − | 7.77817i | −0.119013 | − | 0.598321i | ||||
\(170\) | 0.553551 | + | 5.47870i | 0.0424554 | + | 0.420197i | ||||
\(171\) | −3.50454 | − | 1.87322i | −0.267999 | − | 0.143248i | ||||
\(172\) | 5.33211 | − | 4.42112i | 0.406569 | − | 0.337107i | ||||
\(173\) | −21.2779 | + | 2.09569i | −1.61773 | + | 0.159332i | −0.865966 | − | 0.500102i | \(-0.833296\pi\) |
−0.751762 | + | 0.659435i | \(0.770796\pi\) | |||||||
\(174\) | 9.25851 | − | 9.30530i | 0.701886 | − | 0.705433i | ||||
\(175\) | 2.98660 | + | 7.21030i | 0.225766 | + | 0.545047i | ||||
\(176\) | −8.52934 | − | 4.44905i | −0.642923 | − | 0.335360i | ||||
\(177\) | −3.76358 | + | 9.08607i | −0.282888 | + | 0.682951i | ||||
\(178\) | −5.82717 | − | 13.9684i | −0.436765 | − | 1.04697i | ||||
\(179\) | 0.928743 | − | 1.13168i | 0.0694175 | − | 0.0845855i | −0.737144 | − | 0.675736i | \(-0.763826\pi\) |
0.806561 | + | 0.591150i | \(0.201326\pi\) | |||||||
\(180\) | 0.408025 | − | 1.36990i | 0.0304124 | − | 0.102106i | ||||
\(181\) | 2.02384 | + | 6.67171i | 0.150431 | + | 0.495904i | 0.999474 | − | 0.0324188i | \(-0.0103210\pi\) |
−0.849043 | + | 0.528323i | \(0.822821\pi\) | |||||||
\(182\) | −2.62174 | − | 4.87534i | −0.194337 | − | 0.361384i | ||||
\(183\) | −0.412379 | − | 0.275543i | −0.0304839 | − | 0.0203687i | ||||
\(184\) | −4.73117 | + | 2.00176i | −0.348786 | + | 0.147572i | ||||
\(185\) | −0.279909 | − | 0.418914i | −0.0205793 | − | 0.0307991i | ||||
\(186\) | 0.444463 | + | 1.45201i | 0.0325896 | + | 0.106467i | ||||
\(187\) | 10.1286 | − | 8.31235i | 0.740679 | − | 0.607859i | ||||
\(188\) | −18.8369 | + | 0.0949567i | −1.37382 | + | 0.00692543i | ||||
\(189\) | −0.819508 | − | 1.53319i | −0.0596105 | − | 0.111523i | ||||
\(190\) | 3.94115 | + | 0.773621i | 0.285921 | + | 0.0561244i | ||||
\(191\) | − | 18.5815i | − | 1.34451i | −0.740319 | − | 0.672255i | \(-0.765326\pi\) | ||
0.740319 | − | 0.672255i | \(-0.234674\pi\) | |||||||
\(192\) | −4.98105 | + | 6.26012i | −0.359476 | + | 0.451786i | ||||
\(193\) | 25.1958i | 1.81364i | 0.421522 | + | 0.906818i | \(0.361496\pi\) | ||||
−0.421522 | + | 0.906818i | \(0.638504\pi\) | |||||||
\(194\) | 5.16693 | − | 26.3225i | 0.370964 | − | 1.88984i | ||||
\(195\) | −0.758548 | − | 1.41914i | −0.0543207 | − | 0.101627i | ||||
\(196\) | −5.65364 | − | 5.59693i | −0.403831 | − | 0.399780i | ||||
\(197\) | 10.9518 | − | 8.98789i | 0.780281 | − | 0.640360i | −0.157527 | − | 0.987515i | \(-0.550352\pi\) |
0.937808 | + | 0.347154i | \(0.112852\pi\) | |||||||
\(198\) | −3.25222 | + | 0.995508i | −0.231125 | + | 0.0707477i | ||||
\(199\) | −4.98796 | − | 7.46500i | −0.353587 | − | 0.529180i | 0.611454 | − | 0.791280i | \(-0.290585\pi\) |
−0.965041 | + | 0.262100i | \(0.915585\pi\) | |||||||
\(200\) | −0.0960098 | − | 12.6971i | −0.00678892 | − | 0.897819i | ||||
\(201\) | 3.50748 | + | 2.34362i | 0.247399 | + | 0.165306i | ||||
\(202\) | −8.96208 | + | 4.81941i | −0.630570 | + | 0.339093i | ||||
\(203\) | 4.68413 | + | 15.4415i | 0.328762 | + | 1.08378i | ||||
\(204\) | −5.18489 | − | 9.58373i | −0.363015 | − | 0.670995i | ||||
\(205\) | −4.03946 | + | 4.92210i | −0.282128 | + | 0.343774i | ||||
\(206\) | 11.9032 | − | 4.96565i | 0.829336 | − | 0.345974i | ||||
\(207\) | −0.695060 | + | 1.67802i | −0.0483100 | + | 0.116631i | ||||
\(208\) | 0.973075 | + | 8.95345i | 0.0674706 | + | 0.620810i | ||||
\(209\) | −3.65725 | − | 8.82938i | −0.252977 | − | 0.610741i | ||||
\(210\) | 1.24559 | + | 1.23933i | 0.0859538 | + | 0.0855216i | ||||
\(211\) | 18.3471 | − | 1.80703i | 1.26307 | − | 0.124401i | 0.555780 | − | 0.831329i | \(-0.312420\pi\) |
0.707285 | + | 0.706928i | \(0.249920\pi\) | |||||||
\(212\) | 4.53824 | + | 0.423890i | 0.311687 | + | 0.0291129i | ||||
\(213\) | −4.32462 | − | 2.31156i | −0.296318 | − | 0.158385i | ||||
\(214\) | −4.42199 | + | 0.446785i | −0.302281 | + | 0.0305416i | ||||
\(215\) | 0.482882 | + | 2.42761i | 0.0329323 | + | 0.165562i | ||||
\(216\) | 0.298510 | + | 2.81263i | 0.0203110 | + | 0.191375i | ||||
\(217\) | −1.83082 | − | 0.364172i | −0.124284 | − | 0.0247216i | ||||
\(218\) | −14.2215 | + | 11.7314i | −0.963199 | + | 0.794548i | ||||
\(219\) | −1.15486 | − | 0.113744i | −0.0780383 | − | 0.00768610i | ||||
\(220\) | 2.84862 | − | 1.92423i | 0.192054 | − | 0.129732i | ||||
\(221\) | −11.7386 | − | 3.56087i | −0.789625 | − | 0.239530i | ||||
\(222\) | 0.830334 | + | 0.551789i | 0.0557284 | + | 0.0370337i | ||||
\(223\) | 18.3209 | − | 18.3209i | 1.22686 | − | 1.22686i | 0.261713 | − | 0.965146i | \(-0.415713\pi\) |
0.965146 | − | 0.261713i | \(-0.0842875\pi\) | |||||||
\(224\) | −3.87761 | − | 9.03753i | −0.259084 | − | 0.603845i | ||||
\(225\) | −3.17436 | − | 3.17436i | −0.211624 | − | 0.211624i | ||||
\(226\) | 2.93774 | + | 14.5769i | 0.195416 | + | 0.969642i | ||||
\(227\) | 4.29031 | − | 14.1433i | 0.284758 | − | 0.938721i | −0.691549 | − | 0.722330i | \(-0.743071\pi\) |
0.976307 | − | 0.216392i | \(-0.0694288\pi\) | |||||||
\(228\) | −7.78689 | + | 1.58976i | −0.515699 | + | 0.105284i | ||||
\(229\) | 0.895877 | − | 9.09600i | 0.0592012 | − | 0.601080i | −0.919119 | − | 0.393981i | \(-0.871098\pi\) |
0.978320 | − | 0.207099i | \(-0.0664024\pi\) | |||||||
\(230\) | 0.175330 | − | 1.82736i | 0.0115609 | − | 0.120493i | ||||
\(231\) | 0.815673 | − | 4.10066i | 0.0536673 | − | 0.269804i | ||||
\(232\) | 2.37564 | − | 26.1456i | 0.155969 | − | 1.71654i | ||||
\(233\) | 13.1511 | − | 2.61592i | 0.861560 | − | 0.171375i | 0.255515 | − | 0.966805i | \(-0.417755\pi\) |
0.606045 | + | 0.795430i | \(0.292755\pi\) | |||||||
\(234\) | 2.46647 | + | 2.01380i | 0.161239 | + | 0.131646i | ||||
\(235\) | 3.17313 | − | 5.93651i | 0.206992 | − | 0.387255i | ||||
\(236\) | 5.80453 | + | 18.7934i | 0.377843 | + | 1.22335i | ||||
\(237\) | −0.204833 | − | 2.07970i | −0.0133053 | − | 0.135091i | ||||
\(238\) | 13.3947 | − | 0.0337610i | 0.868248 | − | 0.00218840i | ||||
\(239\) | −6.92374 | + | 2.86791i | −0.447859 | + | 0.185509i | −0.595202 | − | 0.803576i | \(-0.702928\pi\) |
0.147343 | + | 0.989086i | \(0.452928\pi\) | |||||||
\(240\) | −1.12057 | − | 2.62998i | −0.0723323 | − | 0.169764i | ||||
\(241\) | 25.7887 | + | 10.6820i | 1.66120 | + | 0.688090i | 0.998168 | − | 0.0605038i | \(-0.0192707\pi\) |
0.663029 | + | 0.748594i | \(0.269271\pi\) | |||||||
\(242\) | 6.82215 | + | 2.80570i | 0.438545 | + | 0.180357i | ||||
\(243\) | 0.773010 | + | 0.634393i | 0.0495886 | + | 0.0406963i | ||||
\(244\) | −0.986648 | + | 0.102201i | −0.0631637 | + | 0.00654273i | ||||
\(245\) | 2.72042 | − | 0.825230i | 0.173801 | − | 0.0527220i | ||||
\(246\) | 3.62713 | − | 12.0665i | 0.231258 | − | 0.769329i | ||||
\(247\) | −4.97073 | + | 7.43923i | −0.316280 | + | 0.473347i | ||||
\(248\) | 2.53789 | + | 1.66814i | 0.161156 | + | 0.105927i | ||||
\(249\) | 3.40804 | − | 2.27718i | 0.215976 | − | 0.144310i | ||||
\(250\) | 8.46983 | + | 4.49981i | 0.535679 | + | 0.284593i | ||||
\(251\) | 12.1965 | + | 14.8614i | 0.769835 | + | 0.938046i | 0.999378 | − | 0.0352520i | \(-0.0112234\pi\) |
−0.229544 | + | 0.973298i | \(0.573723\pi\) | |||||||
\(252\) | −3.21894 | − | 1.31436i | −0.202774 | − | 0.0827967i | ||||
\(253\) | −3.85235 | + | 2.05913i | −0.242195 | + | 0.129456i | ||||
\(254\) | −5.32534 | − | 7.92662i | −0.334142 | − | 0.497360i | ||||
\(255\) | 3.89375 | 0.243836 | ||||||||
\(256\) | 0.322599 | + | 15.9967i | 0.0201624 | + | 0.999797i | ||||
\(257\) | −4.94760 | −0.308623 | −0.154311 | − | 0.988022i | \(-0.549316\pi\) | ||||
−0.154311 | + | 0.988022i | \(0.549316\pi\) | |||||||
\(258\) | −2.73135 | − | 4.06553i | −0.170046 | − | 0.253109i | ||||
\(259\) | −1.08083 | + | 0.577717i | −0.0671597 | + | 0.0358976i | ||||
\(260\) | −2.97949 | − | 1.21659i | −0.184780 | − | 0.0754494i | ||||
\(261\) | −5.88839 | − | 7.17503i | −0.364482 | − | 0.444123i | ||||
\(262\) | −9.65753 | − | 5.13080i | −0.596644 | − | 0.316982i | ||||
\(263\) | −13.1231 | + | 8.76858i | −0.809205 | + | 0.540694i | −0.889959 | − | 0.456040i | \(-0.849267\pi\) |
0.0807539 | + | 0.996734i | \(0.474267\pi\) | |||||||
\(264\) | −3.73630 | + | 5.68435i | −0.229954 | + | 0.349848i | ||||
\(265\) | −0.904895 | + | 1.35427i | −0.0555873 | + | 0.0831922i | ||||
\(266\) | 2.81243 | − | 9.35618i | 0.172441 | − | 0.573664i | ||||
\(267\) | −10.2413 | + | 3.10666i | −0.626757 | + | 0.190125i | ||||
\(268\) | 8.39192 | − | 0.869267i | 0.512618 | − | 0.0530990i | ||||
\(269\) | 10.7944 | + | 8.85872i | 0.658145 | + | 0.540126i | 0.903112 | − | 0.429406i | \(-0.141277\pi\) |
−0.244966 | + | 0.969532i | \(0.578777\pi\) | |||||||
\(270\) | −0.934756 | − | 0.384431i | −0.0568874 | − | 0.0233957i | ||||
\(271\) | 2.07784 | + | 0.860671i | 0.126220 | + | 0.0522821i | 0.444900 | − | 0.895580i | \(-0.353239\pi\) |
−0.318680 | + | 0.947863i | \(0.603239\pi\) | |||||||
\(272\) | −20.2169 | − | 8.13631i | −1.22583 | − | 0.493337i | ||||
\(273\) | −3.61628 | + | 1.49791i | −0.218867 | + | 0.0906579i | ||||
\(274\) | −15.7013 | + | 0.0395749i | −0.948551 | + | 0.00239081i | ||||
\(275\) | −1.05825 | − | 10.7445i | −0.0638146 | − | 0.647921i | ||||
\(276\) | 1.07199 | + | 3.47078i | 0.0645260 | + | 0.208917i | ||||
\(277\) | −11.0044 | + | 20.5878i | −0.661191 | + | 1.23700i | 0.298088 | + | 0.954539i | \(0.403651\pi\) |
−0.959278 | + | 0.282462i | \(0.908849\pi\) | |||||||
\(278\) | 13.0262 | + | 10.6355i | 0.781257 | + | 0.637872i | ||||
\(279\) | 1.05312 | − | 0.209479i | 0.0630487 | − | 0.0125412i | ||||
\(280\) | 3.49979 | + | 0.317999i | 0.209153 | + | 0.0190041i | ||||
\(281\) | 2.46072 | − | 12.3709i | 0.146794 | − | 0.737983i | −0.835330 | − | 0.549749i | \(-0.814723\pi\) |
0.982124 | − | 0.188235i | \(-0.0602765\pi\) | |||||||
\(282\) | −1.27216 | + | 13.2590i | −0.0757561 | + | 0.789561i | ||||
\(283\) | 0.0187229 | − | 0.190097i | 0.00111296 | − | 0.0113001i | −0.994612 | − | 0.103666i | \(-0.966943\pi\) |
0.995725 | + | 0.0923655i | \(0.0294428\pi\) | |||||||
\(284\) | −9.60906 | + | 1.96177i | −0.570193 | + | 0.116409i | ||||
\(285\) | 0.824406 | − | 2.71770i | 0.0488336 | − | 0.160983i | ||||
\(286\) | 1.51290 | + | 7.50695i | 0.0894599 | + | 0.443895i | ||||
\(287\) | 10.9522 | + | 10.9522i | 0.646488 | + | 0.646488i | ||||
\(288\) | 4.05009 | + | 3.94927i | 0.238654 | + | 0.232713i | ||||
\(289\) | 8.96805 | − | 8.96805i | 0.527532 | − | 0.527532i | ||||
\(290\) | 7.81349 | + | 5.19237i | 0.458824 | + | 0.304906i | ||||
\(291\) | −18.1512 | − | 5.50612i | −1.06404 | − | 0.322775i | ||||
\(292\) | −1.92323 | + | 1.29913i | −0.112549 | + | 0.0760261i | ||||
\(293\) | 10.9694 | + | 1.08039i | 0.640837 | + | 0.0631169i | 0.413216 | − | 0.910633i | \(-0.364405\pi\) |
0.227621 | + | 0.973750i | \(0.426905\pi\) | |||||||
\(294\) | −4.33945 | + | 3.57964i | −0.253082 | + | 0.208769i | ||||
\(295\) | −6.89368 | − | 1.37124i | −0.401365 | − | 0.0798365i | ||||
\(296\) | 1.98278 | − | 0.210437i | 0.115247 | − | 0.0122314i | ||||
\(297\) | 0.469190 | + | 2.35878i | 0.0272252 | + | 0.136870i | ||||
\(298\) | 20.1987 | − | 2.04082i | 1.17008 | − | 0.118221i | ||||
\(299\) | 3.60656 | + | 1.92775i | 0.208573 | + | 0.111484i | ||||
\(300\) | −8.93953 | − | 0.834989i | −0.516124 | − | 0.0482081i | ||||
\(301\) | 5.99184 | − | 0.590145i | 0.345364 | − | 0.0340154i | ||||
\(302\) | 14.6000 | + | 14.5266i | 0.840134 | + | 0.835909i | ||||
\(303\) | 2.75353 | + | 6.64762i | 0.158186 | + | 0.381896i | ||||
\(304\) | −9.95931 | + | 12.3881i | −0.571206 | + | 0.710504i | ||||
\(305\) | 0.135645 | − | 0.327477i | 0.00776704 | − | 0.0187513i | ||||
\(306\) | −7.11094 | + | 2.96647i | −0.406506 | + | 0.169582i | ||||
\(307\) | −10.2766 | + | 12.5221i | −0.586518 | + | 0.714675i | −0.978719 | − | 0.205205i | \(-0.934214\pi\) |
0.392201 | + | 0.919880i | \(0.371714\pi\) | |||||||
\(308\) | −3.97894 | − | 7.35466i | −0.226721 | − | 0.419071i | ||||
\(309\) | −2.64736 | − | 8.72717i | −0.150603 | − | 0.496471i | ||||
\(310\) | −0.955825 | + | 0.514001i | −0.0542872 | + | 0.0291933i | ||||
\(311\) | 18.9907 | + | 12.6892i | 1.07687 | + | 0.719538i | 0.961782 | − | 0.273818i | \(-0.0882864\pi\) |
0.115083 | + | 0.993356i | \(0.463286\pi\) | |||||||
\(312\) | 6.36814 | − | 0.0481532i | 0.360525 | − | 0.00272614i | ||||
\(313\) | 12.3362 | + | 18.4624i | 0.697284 | + | 1.04356i | 0.996012 | + | 0.0892204i | \(0.0284376\pi\) |
−0.298728 | + | 0.954338i | \(0.596562\pi\) | |||||||
\(314\) | 17.5202 | − | 5.36295i | 0.988722 | − | 0.302649i | ||||
\(315\) | 0.960435 | − | 0.788209i | 0.0541144 | − | 0.0444105i | ||||
\(316\) | −2.97023 | − | 2.94044i | −0.167089 | − | 0.165413i | ||||
\(317\) | 6.93632 | + | 12.9769i | 0.389583 | + | 0.728858i | 0.997896 | − | 0.0648394i | \(-0.0206535\pi\) |
−0.608313 | + | 0.793697i | \(0.708154\pi\) | |||||||
\(318\) | 0.620804 | − | 3.16263i | 0.0348130 | − | 0.177352i | ||||
\(319\) | − | 22.3230i | − | 1.24985i | ||||||
\(320\) | −5.08256 | − | 2.61865i | −0.284124 | − | 0.146387i | ||||
\(321\) | 3.14274i | 0.175411i | ||||||||
\(322\) | −4.38182 | − | 0.860124i | −0.244190 | − | 0.0479328i | ||||
\(323\) | −10.2056 | − | 19.0934i | −0.567856 | − | 1.06238i | ||||
\(324\) | 1.99997 | − | 0.0100819i | 0.111110 | − | 0.000560103i | ||||
\(325\) | −7.81334 | + | 6.41224i | −0.433406 | + | 0.355687i | ||||
\(326\) | 7.45797 | + | 24.3644i | 0.413058 | + | 1.34942i | ||||
\(327\) | 7.24242 | + | 10.8390i | 0.400507 | + | 0.599400i | ||||
\(328\) | −9.81925 | − | 23.2078i | −0.542177 | − | 1.28144i | ||||
\(329\) | −13.6144 | − | 9.09685i | −0.750586 | − | 0.501525i | ||||
\(330\) | −1.15126 | − | 2.14086i | −0.0633747 | − | 0.117850i | ||||
\(331\) | −5.50925 | − | 18.1616i | −0.302816 | − | 0.998250i | −0.967869 | − | 0.251454i | \(-0.919091\pi\) |
0.665054 | − | 0.746796i | \(-0.268409\pi\) | |||||||
\(332\) | 2.34007 | − | 7.85653i | 0.128428 | − | 0.431183i | ||||
\(333\) | 0.447219 | − | 0.544938i | 0.0245075 | − | 0.0298624i | ||||
\(334\) | 12.1173 | + | 29.0465i | 0.663030 | + | 1.58935i | ||||
\(335\) | −1.15373 | + | 2.78535i | −0.0630351 | + | 0.152180i | ||||
\(336\) | −6.63375 | + | 2.08559i | −0.361901 | + | 0.113778i | ||||
\(337\) | −0.132912 | − | 0.320879i | −0.00724019 | − | 0.0174794i | 0.920218 | − | 0.391406i | \(-0.128011\pi\) |
−0.927458 | + | 0.373927i | \(0.878011\pi\) | |||||||
\(338\) | −7.91054 | + | 7.95052i | −0.430277 | + | 0.432451i | ||||
\(339\) | 10.4640 | − | 1.03062i | 0.568329 | − | 0.0559755i | ||||
\(340\) | 5.99484 | − | 4.97062i | 0.325116 | − | 0.269570i | ||||
\(341\) | 2.27744 | + | 1.21732i | 0.123330 | + | 0.0659215i | ||||
\(342\) | 0.564925 | + | 5.59127i | 0.0305477 | + | 0.302341i | ||||
\(343\) | −3.72319 | − | 18.7177i | −0.201033 | − | 1.01066i | ||||
\(344\) | −9.39511 | − | 2.77257i | −0.506551 | − | 0.149487i | ||||
\(345\) | −1.27313 | − | 0.253241i | −0.0685430 | − | 0.0136341i | ||||
\(346\) | 19.2411 | + | 23.3252i | 1.03441 | + | 1.25397i | ||||
\(347\) | 23.3706 | + | 2.30180i | 1.25460 | + | 0.123567i | 0.703392 | − | 0.710802i | \(-0.251668\pi\) |
0.551206 | + | 0.834369i | \(0.314168\pi\) | |||||||
\(348\) | −18.2252 | − | 3.52980i | −0.976973 | − | 0.189217i | ||||
\(349\) | 1.30878 | + | 0.397013i | 0.0700573 | + | 0.0212516i | 0.325119 | − | 0.945673i | \(-0.394596\pi\) |
−0.255062 | + | 0.966925i | \(0.582096\pi\) | |||||||
\(350\) | 6.10871 | − | 9.19240i | 0.326524 | − | 0.491354i | ||||
\(351\) | 1.59208 | − | 1.59208i | 0.0849790 | − | 0.0849790i | ||||
\(352\) | 1.50401 | + | 13.5213i | 0.0801639 | + | 0.720687i | ||||
\(353\) | 6.76625 | + | 6.76625i | 0.360131 | + | 0.360131i | 0.863861 | − | 0.503730i | \(-0.168039\pi\) |
−0.503730 | + | 0.863861i | \(0.668039\pi\) | |||||||
\(354\) | 13.6342 | − | 2.74776i | 0.724651 | − | 0.146042i | ||||
\(355\) | 1.01732 | − | 3.35366i | 0.0539938 | − | 0.177994i | ||||
\(356\) | −11.8017 | + | 17.8567i | −0.625489 | + | 0.946403i | ||||
\(357\) | 0.928369 | − | 9.42589i | 0.0491345 | − | 0.498871i | ||||
\(358\) | −2.06093 | − | 0.197740i | −0.108923 | − | 0.0104509i | ||||
\(359\) | 3.51207 | − | 17.6564i | 0.185360 | − | 0.931867i | −0.770365 | − | 0.637604i | \(-0.779926\pi\) |
0.955724 | − | 0.294263i | \(-0.0950742\pi\) | |||||||
\(360\) | −1.92991 | + | 0.601403i | −0.101715 | + | 0.0316967i | ||||
\(361\) | 3.14759 | − | 0.626095i | 0.165663 | − | 0.0329524i | ||||
\(362\) | 6.23575 | − | 7.63745i | 0.327744 | − | 0.401416i | ||||
\(363\) | 2.45882 | − | 4.60012i | 0.129054 | − | 0.241444i | ||||
\(364\) | −3.65547 | + | 6.92261i | −0.191599 | + | 0.362844i | ||||
\(365\) | −0.0812913 | − | 0.825365i | −0.00425498 | − | 0.0432016i | ||||
\(366\) | 0.00176786 | + | 0.701396i | 9.24073e−5 | + | 0.0366626i | ||||
\(367\) | 18.9292 | − | 7.84073i | 0.988096 | − | 0.409283i | 0.170678 | − | 0.985327i | \(-0.445404\pi\) |
0.817419 | + | 0.576044i | \(0.195404\pi\) | |||||||
\(368\) | 6.08111 | + | 3.97518i | 0.317000 | + | 0.207221i | ||||
\(369\) | −8.23123 | − | 3.40949i | −0.428501 | − | 0.177491i | ||||
\(370\) | −0.271007 | + | 0.658962i | −0.0140890 | + | 0.0342578i | ||||
\(371\) | 3.06264 | + | 2.51344i | 0.159004 | + | 0.130491i | ||||
\(372\) | 1.35398 | − | 1.66689i | 0.0702005 | − | 0.0864243i | ||||
\(373\) | 7.15296 | − | 2.16983i | 0.370366 | − | 0.112349i | −0.0996144 | − | 0.995026i | \(-0.531761\pi\) |
0.469981 | + | 0.882677i | \(0.344261\pi\) | |||||||
\(374\) | −17.7458 | − | 5.33432i | −0.917614 | − | 0.275831i | ||||
\(375\) | 3.76778 | − | 5.63888i | 0.194567 | − | 0.291191i | ||||
\(376\) | 14.9673 | + | 22.0376i | 0.771880 | + | 1.13650i | ||||
\(377\) | −17.3766 | + | 11.6107i | −0.894941 | + | 0.597980i | ||||
\(378\) | −1.15349 | + | 2.17118i | −0.0593292 | + | 0.111673i | ||||
\(379\) | −0.630780 | − | 0.768607i | −0.0324010 | − | 0.0394807i | 0.756558 | − | 0.653927i | \(-0.226880\pi\) |
−0.788959 | + | 0.614446i | \(0.789380\pi\) | |||||||
\(380\) | −2.20006 | − | 5.23660i | −0.112861 | − | 0.268632i | ||||
\(381\) | −5.95511 | + | 3.18307i | −0.305089 | + | 0.163074i | ||||
\(382\) | −21.8127 | + | 14.6544i | −1.11603 | + | 0.749785i | ||||
\(383\) | −26.5482 | −1.35655 | −0.678275 | − | 0.734808i | \(-0.737272\pi\) | ||||
−0.678275 | + | 0.734808i | \(0.737272\pi\) | |||||||
\(384\) | 11.2770 | + | 0.910125i | 0.575479 | + | 0.0464446i | ||||
\(385\) | 2.98811 | 0.152288 | ||||||||
\(386\) | 29.5772 | − | 19.8709i | 1.50544 | − | 1.01140i | ||||
\(387\) | −3.05435 | + | 1.63259i | −0.155262 | + | 0.0829890i | ||||
\(388\) | −34.9747 | + | 14.6940i | −1.77557 | + | 0.745973i | ||||
\(389\) | 24.3389 | + | 29.6570i | 1.23403 | + | 1.50367i | 0.796709 | + | 0.604363i | \(0.206572\pi\) |
0.437320 | + | 0.899306i | \(0.355928\pi\) | |||||||
\(390\) | −1.06769 | + | 2.00967i | −0.0540644 | + | 0.101764i | ||||
\(391\) | −8.22775 | + | 5.49761i | −0.416095 | + | 0.278026i | ||||
\(392\) | −2.11141 | + | 11.0508i | −0.106642 | + | 0.558150i | ||||
\(393\) | −4.29613 | + | 6.42961i | −0.216711 | + | 0.324331i | ||||
\(394\) | −19.1880 | − | 5.76784i | −0.966677 | − | 0.290580i | ||||
\(395\) | 1.42922 | − | 0.433548i | 0.0719117 | − | 0.0218142i | ||||
\(396\) | 3.73350 | + | 3.03264i | 0.187615 | + | 0.152396i | ||||
\(397\) | −10.5556 | − | 8.66276i | −0.529770 | − | 0.434771i | 0.331100 | − | 0.943596i | \(-0.392580\pi\) |
−0.860870 | + | 0.508824i | \(0.830080\pi\) | |||||||
\(398\) | −4.82932 | + | 11.7426i | −0.242072 | + | 0.588605i | ||||
\(399\) | −6.38239 | − | 2.64367i | −0.319519 | − | 0.132349i | ||||
\(400\) | −14.8293 | + | 10.1263i | −0.741464 | + | 0.506317i | ||||
\(401\) | −12.9278 | + | 5.35487i | −0.645583 | + | 0.267409i | −0.681358 | − | 0.731950i | \(-0.738610\pi\) |
0.0357744 | + | 0.999360i | \(0.488610\pi\) | |||||||
\(402\) | −0.0150365 | − | 5.96572i | −0.000749951 | − | 0.297543i | ||||
\(403\) | −0.236966 | − | 2.40596i | −0.0118041 | − | 0.119849i | ||||
\(404\) | 12.7255 | + | 6.71965i | 0.633115 | + | 0.334315i | ||||
\(405\) | −0.336901 | + | 0.630298i | −0.0167408 | + | 0.0313197i | ||||
\(406\) | 14.4325 | − | 17.6767i | 0.716273 | − | 0.877281i | ||||
\(407\) | 1.66284 | − | 0.330759i | 0.0824237 | − | 0.0163951i | ||||
\(408\) | −7.16116 | + | 13.6448i | −0.354530 | + | 0.675517i | ||||
\(409\) | −2.41571 | + | 12.1446i | −0.119449 | + | 0.600512i | 0.873970 | + | 0.485979i | \(0.161537\pi\) |
−0.993420 | + | 0.114532i | \(0.963463\pi\) | |||||||
\(410\) | 8.96376 | + | 0.860047i | 0.442689 | + | 0.0424747i | ||||
\(411\) | −1.08824 | + | 11.0491i | −0.0536789 | + | 0.545011i | ||||
\(412\) | −15.2167 | − | 10.0569i | −0.749672 | − | 0.495467i | ||||
\(413\) | −4.96309 | + | 16.3611i | −0.244218 | + | 0.805077i | ||||
\(414\) | 2.51798 | − | 0.507459i | 0.123752 | − | 0.0249402i | ||||
\(415\) | 2.07138 | + | 2.07138i | 0.101680 | + | 0.101680i | ||||
\(416\) | 9.74296 | − | 8.20348i | 0.477688 | − | 0.402209i | ||||
\(417\) | 8.40824 | − | 8.40824i | 0.411753 | − | 0.411753i | ||||
\(418\) | −7.48042 | + | 11.2566i | −0.365879 | + | 0.550576i | ||||
\(419\) | 9.04930 | + | 2.74507i | 0.442087 | + | 0.134106i | 0.503478 | − | 0.864008i | \(-0.332054\pi\) |
−0.0613907 | + | 0.998114i | \(0.519554\pi\) | |||||||
\(420\) | 0.472492 | − | 2.43959i | 0.0230553 | − | 0.119040i | ||||
\(421\) | 20.3260 | + | 2.00194i | 0.990629 | + | 0.0975684i | 0.580329 | − | 0.814382i | \(-0.302924\pi\) |
0.410300 | + | 0.911951i | \(0.365424\pi\) | |||||||
\(422\) | −16.5908 | − | 20.1124i | −0.807627 | − | 0.979054i | ||||
\(423\) | 9.23760 | + | 1.83747i | 0.449147 | + | 0.0893410i | ||||
\(424\) | −3.08151 | − | 5.66170i | −0.149651 | − | 0.274956i | ||||
\(425\) | −4.77154 | − | 23.9882i | −0.231454 | − | 1.16360i | ||||
\(426\) | 0.697121 | + | 6.89966i | 0.0337756 | + | 0.334290i | ||||
\(427\) | −0.760407 | − | 0.406446i | −0.0367987 | − | 0.0196693i | ||||
\(428\) | 4.01191 | + | 4.83858i | 0.193923 | + | 0.233882i | ||||
\(429\) | 5.38887 | − | 0.530757i | 0.260177 | − | 0.0256252i | ||||
\(430\) | 2.46893 | − | 2.48140i | 0.119062 | − | 0.119664i | ||||
\(431\) | −4.15848 | − | 10.0395i | −0.200307 | − | 0.483584i | 0.791525 | − | 0.611137i | \(-0.209288\pi\) |
−0.991832 | + | 0.127553i | \(0.959288\pi\) | |||||||
\(432\) | 3.06630 | − | 2.56862i | 0.147528 | − | 0.123583i | ||||
\(433\) | −7.17154 | + | 17.3136i | −0.344642 | + | 0.832040i | 0.652591 | + | 0.757710i | \(0.273682\pi\) |
−0.997234 | + | 0.0743302i | \(0.976318\pi\) | |||||||
\(434\) | 1.01639 | + | 2.43639i | 0.0487882 | + | 0.116950i | ||||
\(435\) | 4.20836 | − | 5.12790i | 0.201775 | − | 0.245864i | ||||
\(436\) | 24.9872 | + | 7.44244i | 1.19667 | + | 0.356428i | ||||
\(437\) | 2.09512 | + | 6.90668i | 0.100223 | + | 0.330391i | ||||
\(438\) | 0.777266 | + | 1.44539i | 0.0371392 | + | 0.0690633i | ||||
\(439\) | 31.7465 | + | 21.2123i | 1.51518 | + | 1.01241i | 0.986533 | + | 0.163563i | \(0.0522988\pi\) |
0.528643 | + | 0.848844i | \(0.322701\pi\) | |||||||
\(440\) | −4.50542 | − | 1.82642i | −0.214788 | − | 0.0870711i | ||||
\(441\) | 2.20991 | + | 3.30736i | 0.105234 | + | 0.157493i | ||||
\(442\) | 5.07766 | + | 16.5882i | 0.241520 | + | 0.789019i | ||||
\(443\) | −4.24072 | + | 3.48027i | −0.201482 | + | 0.165352i | −0.729724 | − | 0.683742i | \(-0.760352\pi\) |
0.528242 | + | 0.849094i | \(0.322852\pi\) | |||||||
\(444\) | −0.00710727 | − | 1.40989i | −0.000337296 | − | 0.0669106i | ||||
\(445\) | −3.60556 | − | 6.74552i | −0.170920 | − | 0.319768i | ||||
\(446\) | −35.9557 | − | 7.05786i | −1.70255 | − | 0.334199i | ||||
\(447\) | − | 14.3554i | − | 0.678986i | ||||||
\(448\) | −7.55098 | + | 11.6794i | −0.356750 | + | 0.551800i | ||||
\(449\) | 5.43882i | 0.256674i | 0.991731 | + | 0.128337i | \(0.0409638\pi\) | ||||
−0.991731 | + | 0.128337i | \(0.959036\pi\) | |||||||
\(450\) | −1.22288 | + | 6.22983i | −0.0576469 | + | 0.293677i | ||||
\(451\) | −10.1006 | − | 18.8970i | −0.475621 | − | 0.889824i | ||||
\(452\) | 14.7948 | − | 14.9448i | 0.695891 | − | 0.702943i | ||||
\(453\) | 11.2576 | − | 9.23886i | 0.528928 | − | 0.434080i | ||||
\(454\) | −19.9862 | + | 6.11781i | −0.938001 | + | 0.287123i | ||||
\(455\) | −1.55418 | − | 2.32600i | −0.0728612 | − | 0.109044i | ||||
\(456\) | 8.00738 | + | 7.88719i | 0.374980 | + | 0.369352i | ||||
\(457\) | −18.9333 | − | 12.6509i | −0.885664 | − | 0.591782i | 0.0273877 | − | 0.999625i | \(-0.491281\pi\) |
−0.913052 | + | 0.407843i | \(0.866281\pi\) | |||||||
\(458\) | −11.3843 | + | 6.12195i | −0.531951 | + | 0.286060i | ||||
\(459\) | 1.58152 | + | 5.21359i | 0.0738193 | + | 0.243349i | ||||
\(460\) | −2.28340 | + | 1.23534i | −0.106464 | + | 0.0575980i | ||||
\(461\) | −25.9885 | + | 31.6671i | −1.21041 | + | 1.47488i | −0.373415 | + | 0.927664i | \(0.621813\pi\) |
−0.836990 | + | 0.547219i | \(0.815687\pi\) | |||||||
\(462\) | −5.45702 | + | 2.27650i | −0.253884 | + | 0.105912i | ||||
\(463\) | 7.34726 | − | 17.7379i | 0.341456 | − | 0.824348i | −0.656113 | − | 0.754663i | \(-0.727800\pi\) |
0.997569 | − | 0.0696853i | \(-0.0221995\pi\) | |||||||
\(464\) | −32.5656 | + | 17.8311i | −1.51182 | + | 0.827789i | ||||
\(465\) | 0.293670 | + | 0.708983i | 0.0136186 | + | 0.0328783i | ||||
\(466\) | −13.4425 | − | 13.3749i | −0.622714 | − | 0.619582i | ||||
\(467\) | 4.21922 | − | 0.415557i | 0.195242 | − | 0.0192297i | 7.66273e−5 | − | 1.00000i | \(-0.499976\pi\) |
0.195165 | + | 0.980770i | \(0.437476\pi\) | |||||||
\(468\) | 0.418784 | − | 4.48357i | 0.0193583 | − | 0.207253i | ||||
\(469\) | 6.46764 | + | 3.45702i | 0.298648 | + | 0.159631i | ||||
\(470\) | −9.47132 | + | 0.956954i | −0.436879 | + | 0.0441410i | ||||
\(471\) | −2.52760 | − | 12.7071i | −0.116466 | − | 0.585512i | ||||
\(472\) | 17.4836 | − | 21.6354i | 0.804750 | − | 0.995852i | ||||
\(473\) | −8.16915 | − | 1.62494i | −0.375618 | − | 0.0747150i | ||||
\(474\) | −2.27980 | + | 1.88062i | −0.104715 | + | 0.0863798i | ||||
\(475\) | −17.7532 | − | 1.74854i | −0.814572 | − | 0.0802283i | ||||
\(476\) | −10.6034 | − | 15.6973i | −0.486007 | − | 0.719484i | ||||
\(477\) | −2.18086 | − | 0.661557i | −0.0998548 | − | 0.0302906i | ||||
\(478\) | 8.82706 | + | 5.86593i | 0.403740 | + | 0.268301i | ||||
\(479\) | 10.3843 | − | 10.3843i | 0.474471 | − | 0.474471i | −0.428887 | − | 0.903358i | \(-0.641094\pi\) |
0.903358 | + | 0.428887i | \(0.141094\pi\) | |||||||
\(480\) | −2.20356 | + | 3.38957i | −0.100578 | + | 0.154712i | ||||
\(481\) | −1.12235 | − | 1.12235i | −0.0511746 | − | 0.0511746i | ||||
\(482\) | −7.79888 | − | 38.6976i | −0.355229 | − | 1.76263i | ||||
\(483\) | −0.916587 | + | 3.02158i | −0.0417062 | + | 0.137487i | ||||
\(484\) | −2.08674 | − | 10.2212i | −0.0948519 | − | 0.464600i | ||||
\(485\) | 1.32874 | − | 13.4909i | 0.0603349 | − | 0.612591i | ||||
\(486\) | 0.135069 | − | 1.40775i | 0.00612687 | − | 0.0638568i | ||||
\(487\) | 1.97642 | − | 9.93613i | 0.0895601 | − | 0.450249i | −0.909819 | − | 0.415006i | \(-0.863779\pi\) |
0.999379 | − | 0.0352431i | \(-0.0112205\pi\) | |||||||
\(488\) | 0.898099 | + | 1.07762i | 0.0406550 | + | 0.0487814i | ||||
\(489\) | 17.6711 | − | 3.51500i | 0.799114 | − | 0.158954i | ||||
\(490\) | −3.11421 | − | 2.54265i | −0.140685 | − | 0.114865i | ||||
\(491\) | −1.62097 | + | 3.03261i | −0.0731532 | + | 0.136860i | −0.915839 | − | 0.401546i | \(-0.868473\pi\) |
0.842686 | + | 0.538406i | \(0.180973\pi\) | |||||||
\(492\) | −17.0253 | + | 5.25842i | −0.767558 | + | 0.237068i | ||||
\(493\) | −4.95670 | − | 50.3262i | −0.223238 | − | 2.26658i | ||||
\(494\) | 12.6530 | − | 0.0318918i | 0.569288 | − | 0.00143488i | ||||
\(495\) | −1.58798 | + | 0.657762i | −0.0713743 | + | 0.0295642i | ||||
\(496\) | −0.0433012 | − | 4.29479i | −0.00194428 | − | 0.192842i | ||||
\(497\) | −7.87590 | − | 3.26231i | −0.353282 | − | 0.146334i | ||||
\(498\) | −5.36093 | − | 2.20476i | −0.240229 | − | 0.0987975i | ||||
\(499\) | −15.5262 | − | 12.7420i | −0.695049 | − | 0.570412i | 0.219143 | − | 0.975693i | \(-0.429674\pi\) |
−0.914192 | + | 0.405281i | \(0.867174\pi\) | |||||||
\(500\) | −1.39750 | − | 13.4915i | −0.0624980 | − | 0.603357i | ||||
\(501\) | 21.2963 | − | 6.46015i | 0.951447 | − | 0.288618i | ||||
\(502\) | 7.82690 | − | 26.0379i | 0.349332 | − | 1.16213i | ||||
\(503\) | 4.48109 | − | 6.70643i | 0.199802 | − | 0.299025i | −0.718016 | − | 0.696027i | \(-0.754949\pi\) |
0.917818 | + | 0.397002i | \(0.129949\pi\) | |||||||
\(504\) | 0.995723 | + | 4.81526i | 0.0443530 | + | 0.214489i | ||||
\(505\) | −4.27576 | + | 2.85697i | −0.190269 | + | 0.127133i | ||||
\(506\) | 5.45537 | + | 2.89830i | 0.242521 | + | 0.128845i | ||||
\(507\) | 5.03109 | + | 6.13040i | 0.223439 | + | 0.272261i | ||||
\(508\) | −5.10512 | + | 12.5028i | −0.226503 | + | 0.554720i | ||||
\(509\) | 4.92257 | − | 2.63117i | 0.218189 | − | 0.116624i | −0.358682 | − | 0.933460i | \(-0.616774\pi\) |
0.576871 | + | 0.816835i | \(0.304274\pi\) | |||||||
\(510\) | −3.07083 | − | 4.57084i | −0.135979 | − | 0.202400i | ||||
\(511\) | −2.01741 | −0.0892448 | ||||||||
\(512\) | 18.5240 | − | 12.9946i | 0.818654 | − | 0.574287i | ||||
\(513\) | 3.97376 | 0.175446 | ||||||||
\(514\) | 3.90195 | + | 5.80794i | 0.172108 | + | 0.256177i | ||||
\(515\) | 5.74823 | − | 3.07249i | 0.253297 | − | 0.135390i | ||||
\(516\) | −2.61840 | + | 6.41262i | −0.115269 | + | 0.282300i | ||||
\(517\) | 14.3700 | + | 17.5099i | 0.631992 | + | 0.770085i | ||||
\(518\) | 1.53058 | + | 0.813161i | 0.0672500 | + | 0.0357282i | ||||
\(519\) | 17.7775 | − | 11.8786i | 0.780347 | − | 0.521411i | ||||
\(520\) | 0.921654 | + | 4.45707i | 0.0404172 | + | 0.195455i | ||||
\(521\) | 6.75556 | − | 10.1104i | 0.295967 | − | 0.442945i | −0.653448 | − | 0.756972i | \(-0.726678\pi\) |
0.949414 | + | 0.314026i | \(0.101678\pi\) | |||||||
\(522\) | −3.77879 | + | 12.5710i | −0.165393 | + | 0.550216i | ||||
\(523\) | −23.6997 | + | 7.18921i | −1.03631 | + | 0.314362i | −0.762205 | − | 0.647336i | \(-0.775883\pi\) |
−0.274109 | + | 0.961699i | \(0.588383\pi\) | |||||||
\(524\) | 1.59346 | + | 15.3833i | 0.0696108 | + | 0.672024i | ||||
\(525\) | −6.03286 | − | 4.95104i | −0.263296 | − | 0.216081i | ||||
\(526\) | 20.6430 | + | 8.48971i | 0.900076 | + | 0.370169i | ||||
\(527\) | 5.40470 | + | 2.23870i | 0.235432 | + | 0.0975193i | ||||
\(528\) | 9.61947 | − | 0.0969859i | 0.418634 | − | 0.00422077i | ||||
\(529\) | −18.2015 | + | 7.53929i | −0.791368 | + | 0.327795i | ||||
\(530\) | 2.30342 | − | 0.00580572i | 0.100054 | − | 0.000252184i | ||||
\(531\) | −0.963969 | − | 9.78734i | −0.0418327 | − | 0.424734i | ||||
\(532\) | −13.2012 | + | 4.07732i | −0.572344 | + | 0.176774i | ||||
\(533\) | −9.45619 | + | 17.6913i | −0.409593 | + | 0.766295i | ||||
\(534\) | 11.7237 | + | 9.57208i | 0.507336 | + | 0.414224i | ||||
\(535\) | −2.20292 | + | 0.438188i | −0.0952405 | + | 0.0189445i | ||||
\(536\) | −7.63877 | − | 9.16565i | −0.329945 | − | 0.395896i | ||||
\(537\) | −0.285610 | + | 1.43586i | −0.0123250 | + | 0.0619618i | ||||
\(538\) | 1.88612 | − | 19.6579i | 0.0813164 | − | 0.847513i | ||||
\(539\) | −0.937671 | + | 9.52033i | −0.0403883 | + | 0.410070i | ||||
\(540\) | 0.285920 | + | 1.40049i | 0.0123041 | + | 0.0602673i | ||||
\(541\) | 8.90729 | − | 29.3634i | 0.382954 | − | 1.26243i | −0.527760 | − | 0.849394i | \(-0.676968\pi\) |
0.910714 | − | 0.413037i | \(-0.135532\pi\) | |||||||
\(542\) | −0.628370 | − | 3.11794i | −0.0269908 | − | 0.133927i | ||||
\(543\) | −4.92989 | − | 4.92989i | −0.211562 | − | 0.211562i | ||||
\(544\) | 6.39305 | + | 30.1492i | 0.274100 | + | 1.29264i | ||||
\(545\) | −6.58788 | + | 6.58788i | −0.282194 | + | 0.282194i | ||||
\(546\) | 4.61039 | + | 3.06379i | 0.197307 | + | 0.131118i | ||||
\(547\) | 38.5534 | + | 11.6950i | 1.64842 | + | 0.500044i | 0.971705 | − | 0.236197i | \(-0.0759012\pi\) |
0.676719 | + | 0.736241i | \(0.263401\pi\) | |||||||
\(548\) | 12.4294 | + | 18.4004i | 0.530958 | + | 0.786028i | ||||
\(549\) | 0.493575 | + | 0.0486129i | 0.0210653 | + | 0.00207475i | ||||
\(550\) | −11.7783 | + | 9.71602i | −0.502230 | + | 0.414293i | ||||
\(551\) | −36.1754 | − | 7.19574i | −1.54112 | − | 0.306549i | ||||
\(552\) | 3.22890 | − | 3.99565i | 0.137431 | − | 0.170066i | ||||
\(553\) | −0.708762 | − | 3.56318i | −0.0301396 | − | 0.151522i | ||||
\(554\) | 32.8465 | − | 3.31871i | 1.39552 | − | 0.140999i | ||||
\(555\) | 0.444332 | + | 0.237501i | 0.0188609 | + | 0.0100813i | ||||
\(556\) | 2.21172 | − | 23.6790i | 0.0937976 | − | 1.00421i | ||||
\(557\) | 24.2226 | − | 2.38572i | 1.02635 | − | 0.101086i | 0.429192 | − | 0.903213i | \(-0.358798\pi\) |
0.597153 | + | 0.802127i | \(0.296298\pi\) | |||||||
\(558\) | −1.07646 | − | 1.07104i | −0.0455700 | − | 0.0453409i | ||||
\(559\) | 2.98407 | + | 7.20419i | 0.126213 | + | 0.304705i | ||||
\(560\) | −2.38684 | − | 4.35917i | −0.100862 | − | 0.184209i | ||||
\(561\) | −5.01424 | + | 12.1054i | −0.211701 | + | 0.511092i | ||||
\(562\) | −16.4627 | + | 6.86774i | −0.694437 | + | 0.289698i | ||||
\(563\) | −17.3329 | + | 21.1201i | −0.730493 | + | 0.890108i | −0.997284 | − | 0.0736462i | \(-0.976536\pi\) |
0.266792 | + | 0.963754i | \(0.414036\pi\) | |||||||
\(564\) | 16.5679 | − | 8.96340i | 0.697635 | − | 0.377427i | ||||
\(565\) | 2.18140 | + | 7.19112i | 0.0917723 | + | 0.302533i | ||||
\(566\) | −0.237919 | + | 0.127942i | −0.0100005 | + | 0.00537782i | ||||
\(567\) | 1.44548 | + | 0.965841i | 0.0607046 | + | 0.0405615i | ||||
\(568\) | 9.88114 | + | 9.73283i | 0.414604 | + | 0.408381i | ||||
\(569\) | 21.5695 | + | 32.2810i | 0.904241 | + | 1.35329i | 0.935330 | + | 0.353775i | \(0.115102\pi\) |
−0.0310898 | + | 0.999517i | \(0.509898\pi\) | |||||||
\(570\) | −3.84046 | + | 1.17557i | −0.160859 | + | 0.0492392i | ||||
\(571\) | 33.4486 | − | 27.4506i | 1.39978 | − | 1.14877i | 0.430565 | − | 0.902560i | \(-0.358314\pi\) |
0.969216 | − | 0.246211i | \(-0.0791857\pi\) | |||||||
\(572\) | 7.61918 | − | 7.69639i | 0.318574 | − | 0.321802i | ||||
\(573\) | 8.75926 | + | 16.3874i | 0.365923 | + | 0.684595i | ||||
\(574\) | 4.21917 | − | 21.4942i | 0.176105 | − | 0.897151i | ||||
\(575\) | 8.15369i | 0.340032i | ||||||||
\(576\) | 1.44189 | − | 7.86899i | 0.0600788 | − | 0.327874i | ||||
\(577\) | − | 0.713433i | − | 0.0297006i | −0.999890 | − | 0.0148503i | \(-0.995273\pi\) | ||
0.999890 | − | 0.0148503i | \(-0.00472717\pi\) | |||||||
\(578\) | −17.6002 | − | 3.45481i | −0.732073 | − | 0.143701i | ||||
\(579\) | −11.8772 | − | 22.2207i | −0.493601 | − | 0.923463i | ||||
\(580\) | −0.0668798 | − | 13.2672i | −0.00277703 | − | 0.550890i | ||||
\(581\) | 5.50821 | − | 4.52047i | 0.228519 | − | 0.187541i | ||||
\(582\) | 7.85151 | + | 25.6500i | 0.325455 | + | 1.06323i | ||||
\(583\) | −3.04506 | − | 4.55725i | −0.126113 | − | 0.188742i | ||||
\(584\) | 3.04181 | + | 1.23310i | 0.125871 | + | 0.0510259i | ||||
\(585\) | 1.33796 | + | 0.893995i | 0.0553178 | + | 0.0369622i | ||||
\(586\) | −7.38279 | − | 13.7289i | −0.304980 | − | 0.567135i | ||||
\(587\) | 11.2514 | + | 37.0908i | 0.464394 | + | 1.53090i | 0.806497 | + | 0.591239i | \(0.201361\pi\) |
−0.342103 | + | 0.939662i | \(0.611139\pi\) | |||||||
\(588\) | 7.62444 | + | 2.27094i | 0.314427 | + | 0.0936520i | ||||
\(589\) | 2.70685 | − | 3.29831i | 0.111534 | − | 0.135904i | ||||
\(590\) | 3.82706 | + | 9.17386i | 0.157557 | + | 0.377682i | ||||
\(591\) | −5.42174 | + | 13.0892i | −0.223021 | + | 0.538419i | ||||
\(592\) | −1.81076 | − | 2.16161i | −0.0744219 | − | 0.0888415i | ||||
\(593\) | −12.9539 | − | 31.2734i | −0.531951 | − | 1.28424i | −0.930229 | − | 0.366980i | \(-0.880392\pi\) |
0.398278 | − | 0.917265i | \(-0.369608\pi\) | |||||||
\(594\) | 2.39892 | − | 2.41104i | 0.0984289 | − | 0.0989264i | ||||
\(595\) | 6.73656 | − | 0.663494i | 0.276172 | − | 0.0272006i | ||||
\(596\) | −18.3255 | − | 22.1016i | −0.750644 | − | 0.905317i | ||||
\(597\) | 7.91796 | + | 4.23224i | 0.324061 | + | 0.173214i | ||||
\(598\) | −0.581371 | − | 5.75404i | −0.0237740 | − | 0.235300i | ||||
\(599\) | 7.89256 | + | 39.6786i | 0.322481 | + | 1.62122i | 0.713372 | + | 0.700786i | \(0.247167\pi\) |
−0.390891 | + | 0.920437i | \(0.627833\pi\) | |||||||
\(600\) | 6.07003 | + | 11.1526i | 0.247808 | + | 0.455301i | ||||
\(601\) | −18.7737 | − | 3.73432i | −0.765794 | − | 0.152326i | −0.203288 | − | 0.979119i | \(-0.565163\pi\) |
−0.562506 | + | 0.826793i | \(0.690163\pi\) | |||||||
\(602\) | −5.41827 | − | 6.56835i | −0.220832 | − | 0.267706i | ||||
\(603\) | −4.19810 | − | 0.413477i | −0.170960 | − | 0.0168381i | ||||
\(604\) | 5.53824 | − | 28.5952i | 0.225348 | − | 1.16352i | ||||
\(605\) | 3.56730 | + | 1.08213i | 0.145032 | + | 0.0439948i | ||||
\(606\) | 5.63199 | − | 8.47503i | 0.228784 | − | 0.344275i | ||||
\(607\) | 31.1285 | − | 31.1285i | 1.26347 | − | 1.26347i | 0.314064 | − | 0.949402i | \(-0.398309\pi\) |
0.949402 | − | 0.314064i | \(-0.101691\pi\) | |||||||
\(608\) | 22.3967 | + | 1.92123i | 0.908307 | + | 0.0779162i | ||||
\(609\) | −11.4101 | − | 11.4101i | −0.462361 | − | 0.462361i | ||||
\(610\) | −0.491400 | + | 0.0990338i | −0.0198962 | + | 0.00400976i | ||||
\(611\) | 6.15587 | − | 20.2932i | 0.249040 | − | 0.820975i | ||||
\(612\) | 9.09040 | + | 6.00795i | 0.367458 | + | 0.242857i | ||||
\(613\) | 3.84853 | − | 39.0747i | 0.155441 | − | 1.57821i | −0.528665 | − | 0.848831i | \(-0.677307\pi\) |
0.684105 | − | 0.729383i | \(-0.260193\pi\) | |||||||
\(614\) | 22.8043 | + | 2.18801i | 0.920308 | + | 0.0883009i | ||||
\(615\) | 1.24223 | − | 6.24510i | 0.0500914 | − | 0.251827i | ||||
\(616\) | −5.49556 | + | 10.4712i | −0.221422 | + | 0.421895i | ||||
\(617\) | −14.6973 | + | 2.92347i | −0.591691 | + | 0.117695i | −0.481849 | − | 0.876254i | \(-0.660035\pi\) |
−0.109842 | + | 0.993949i | \(0.535035\pi\) | |||||||
\(618\) | −8.15690 | + | 9.99045i | −0.328118 | + | 0.401875i | ||||
\(619\) | −14.2138 | + | 26.5922i | −0.571302 | + | 1.06883i | 0.415908 | + | 0.909407i | \(0.363464\pi\) |
−0.987210 | + | 0.159425i | \(0.949036\pi\) | |||||||
\(620\) | 1.35720 | + | 0.716665i | 0.0545064 | + | 0.0287820i | ||||
\(621\) | −0.178027 | − | 1.80753i | −0.00714396 | − | 0.0725339i | ||||
\(622\) | −0.0814127 | − | 32.3005i | −0.00326435 | − | 1.29513i | ||||
\(623\) | −17.1891 | + | 7.11994i | −0.688665 | + | 0.285254i | ||||
\(624\) | −5.07880 | − | 7.43753i | −0.203315 | − | 0.297740i | ||||
\(625\) | −16.2596 | − | 6.73493i | −0.650383 | − | 0.269397i | ||||
\(626\) | 11.9439 | − | 29.0419i | 0.477373 | − | 1.16075i | ||||
\(627\) | 7.38754 | + | 6.06280i | 0.295030 | + | 0.242125i | ||||
\(628\) | −20.1129 | − | 16.3373i | −0.802593 | − | 0.651928i | ||||
\(629\) | 3.67535 | − | 1.11491i | 0.146546 | − | 0.0444542i | ||||
\(630\) | −1.68273 | − | 0.505821i | −0.0670414 | − | 0.0201524i | ||||
\(631\) | 8.20010 | − | 12.2723i | 0.326441 | − | 0.488554i | −0.631557 | − | 0.775330i | \(-0.717584\pi\) |
0.957998 | + | 0.286776i | \(0.0925836\pi\) | |||||||
\(632\) | −1.10926 | + | 5.80573i | −0.0441241 | + | 0.230940i | ||||
\(633\) | −15.3289 | + | 10.2424i | −0.609267 | + | 0.407099i | ||||
\(634\) | 9.76315 | − | 18.3768i | 0.387744 | − | 0.729837i | ||||
\(635\) | −3.06150 | − | 3.73045i | −0.121492 | − | 0.148038i | ||||
\(636\) | −4.20219 | + | 1.76547i | −0.166628 | + | 0.0700055i | ||||
\(637\) | 7.89851 | − | 4.22184i | 0.312950 | − | 0.167275i | ||||
\(638\) | −26.2047 | + | 17.6051i | −1.03746 | + | 0.696994i | ||||
\(639\) | 4.90363 | 0.193985 | ||||||||
\(640\) | 0.934385 | + | 8.03159i | 0.0369348 | + | 0.317477i | ||||
\(641\) | −4.91328 | −0.194063 | −0.0970314 | − | 0.995281i | \(-0.530935\pi\) | ||||
−0.0970314 | + | 0.995281i | \(0.530935\pi\) | |||||||
\(642\) | 3.68924 | − | 2.47854i | 0.145603 | − | 0.0978203i | ||||
\(643\) | −35.8046 | + | 19.1380i | −1.41200 | + | 0.754728i | −0.988507 | − | 0.151173i | \(-0.951695\pi\) |
−0.423489 | + | 0.905901i | \(0.639195\pi\) | |||||||
\(644\) | 2.44606 | + | 5.82213i | 0.0963883 | + | 0.229424i | ||||
\(645\) | −1.57023 | − | 1.91333i | −0.0618279 | − | 0.0753375i | ||||
\(646\) | −14.3648 | + | 27.0384i | −0.565177 | + | 1.06381i | ||||
\(647\) | −15.7302 | + | 10.5106i | −0.618417 | + | 0.413213i | −0.824933 | − | 0.565230i | \(-0.808787\pi\) |
0.206517 | + | 0.978443i | \(0.433787\pi\) | |||||||
\(648\) | −1.58913 | − | 2.33980i | −0.0624268 | − | 0.0919161i | ||||
\(649\) | 13.1405 | − | 19.6662i | 0.515811 | − | 0.771966i | ||||
\(650\) | 13.6893 | + | 4.11496i | 0.536939 | + | 0.161402i | ||||
\(651\) | 1.78631 | − | 0.541870i | 0.0700109 | − | 0.0212376i | ||||
\(652\) | 22.7194 | − | 27.9700i | 0.889759 | − | 1.09539i | ||||
\(653\) | −18.9810 | − | 15.5773i | −0.742784 | − | 0.609587i | 0.184986 | − | 0.982741i | \(-0.440776\pi\) |
−0.927769 | + | 0.373155i | \(0.878276\pi\) | |||||||
\(654\) | 7.01208 | − | 17.0501i | 0.274194 | − | 0.666711i | ||||
\(655\) | −5.10586 | − | 2.11492i | −0.199503 | − | 0.0826367i | ||||
\(656\) | −19.4995 | + | 29.8297i | −0.761327 | + | 1.16466i | ||||
\(657\) | 1.07212 | − | 0.444085i | 0.0418272 | − | 0.0173254i | ||||
\(658\) | 0.0583645 | + | 23.1561i | 0.00227529 | + | 0.902719i | ||||
\(659\) | 2.11088 | + | 21.4321i | 0.0822283 | + | 0.834878i | 0.944517 | + | 0.328462i | \(0.106530\pi\) |
−0.862289 | + | 0.506416i | \(0.830970\pi\) | |||||||
\(660\) | −1.60518 | + | 3.03985i | −0.0624817 | + | 0.118326i | ||||
\(661\) | 4.00290 | − | 7.48890i | 0.155695 | − | 0.291285i | −0.791965 | − | 0.610567i | \(-0.790942\pi\) |
0.947660 | + | 0.319282i | \(0.103442\pi\) | |||||||
\(662\) | −16.9748 | + | 20.7905i | −0.659744 | + | 0.808045i | ||||
\(663\) | 12.0311 | − | 2.39314i | 0.467250 | − | 0.0929418i | ||||
\(664\) | −11.0682 | + | 3.44912i | −0.429531 | + | 0.133852i | ||||
\(665\) | 0.963207 | − | 4.84237i | 0.0373516 | − | 0.187779i | ||||
\(666\) | −0.992401 | − | 0.0952180i | −0.0384548 | − | 0.00368962i | ||||
\(667\) | −1.65243 | + | 16.7774i | −0.0639824 | + | 0.649624i | ||||
\(668\) | 24.5411 | − | 37.1321i | 0.949522 | − | 1.43669i | ||||
\(669\) | −7.52118 | + | 24.7940i | −0.290786 | + | 0.958592i | ||||
\(670\) | 4.17960 | − | 0.842331i | 0.161472 | − | 0.0325421i | ||||
\(671\) | 0.843428 | + | 0.843428i | 0.0325602 | + | 0.0325602i | ||||
\(672\) | 7.68001 | + | 6.14249i | 0.296263 | + | 0.236952i | ||||
\(673\) | 25.3557 | − | 25.3557i | 0.977390 | − | 0.977390i | −0.0223595 | − | 0.999750i | \(-0.507118\pi\) |
0.999750 | + | 0.0223595i | \(0.00711785\pi\) | |||||||
\(674\) | −0.271855 | + | 0.409088i | −0.0104715 | + | 0.0157575i | ||||
\(675\) | 4.29592 | + | 1.30315i | 0.165350 | + | 0.0501584i | ||||
\(676\) | 15.5717 | + | 3.01589i | 0.598913 | + | 0.115996i | ||||
\(677\) | 29.9955 | + | 2.95430i | 1.15282 | + | 0.113543i | 0.656313 | − | 0.754489i | \(-0.272115\pi\) |
0.496508 | + | 0.868032i | \(0.334615\pi\) | |||||||
\(678\) | −9.46237 | − | 11.4708i | −0.363400 | − | 0.440535i | ||||
\(679\) | −32.3417 | − | 6.43316i | −1.24116 | − | 0.246882i | ||||
\(680\) | −10.5628 | − | 3.11718i | −0.405066 | − | 0.119538i | ||||
\(681\) | 2.88337 | + | 14.4957i | 0.110491 | + | 0.555476i | ||||
\(682\) | −0.367120 | − | 3.63352i | −0.0140577 | − | 0.139135i | ||||
\(683\) | −4.53596 | − | 2.42452i | −0.173564 | − | 0.0927718i | 0.382327 | − | 0.924027i | \(-0.375123\pi\) |
−0.555891 | + | 0.831255i | \(0.687623\pi\) | |||||||
\(684\) | 6.11802 | − | 5.07275i | 0.233928 | − | 0.193962i | ||||
\(685\) | −7.89664 | + | 0.777751i | −0.301715 | + | 0.0297163i | ||||
\(686\) | −19.0363 | + | 19.1325i | −0.726808 | + | 0.730481i | ||||
\(687\) | 3.49773 | + | 8.44427i | 0.133447 | + | 0.322169i | ||||
\(688\) | 4.15481 | + | 13.2155i | 0.158401 | + | 0.503834i | ||||
\(689\) | −1.96365 | + | 4.74066i | −0.0748090 | + | 0.180605i | ||||
\(690\) | 0.706784 | + | 1.69424i | 0.0269068 | + | 0.0644985i | ||||
\(691\) | −29.9987 | + | 36.5535i | −1.14120 | + | 1.39056i | −0.232770 | + | 0.972532i | \(0.574779\pi\) |
−0.908434 | + | 0.418029i | \(0.862721\pi\) | |||||||
\(692\) | 12.2066 | − | 40.9824i | 0.464026 | − | 1.55792i | ||||
\(693\) | 1.21368 | + | 4.00097i | 0.0461039 | + | 0.151984i | ||||
\(694\) | −15.7293 | − | 29.2499i | −0.597076 | − | 1.11031i | ||||
\(695\) | 7.06614 | + | 4.72144i | 0.268034 | + | 0.179095i | ||||
\(696\) | 10.2298 | + | 24.1782i | 0.387760 | + | 0.916472i | ||||
\(697\) | −26.9675 | − | 40.3597i | −1.02147 | − | 1.52873i | ||||
\(698\) | −0.566125 | − | 1.84947i | −0.0214281 | − | 0.0700035i | ||||
\(699\) | −10.3651 | + | 8.50644i | −0.392045 | + | 0.321743i | ||||
\(700\) | −15.6085 | + | 0.0786826i | −0.589948 | + | 0.00297392i | ||||
\(701\) | 13.8683 | + | 25.9458i | 0.523800 | + | 0.979961i | 0.995183 | + | 0.0980326i | \(0.0312549\pi\) |
−0.471383 | + | 0.881929i | \(0.656245\pi\) | |||||||
\(702\) | −3.12454 | − | 0.613326i | −0.117928 | − | 0.0231485i | ||||
\(703\) | − | 2.80132i | − | 0.105654i | ||||||
\(704\) | 14.6864 | − | 12.4292i | 0.553514 | − | 0.468443i | ||||
\(705\) | 6.73133i | 0.253517i | ||||||||
\(706\) | 2.60660 | − | 13.2791i | 0.0981006 | − | 0.499765i | ||||
\(707\) | 5.89663 | + | 11.0318i | 0.221766 | + | 0.414894i | ||||
\(708\) | −13.9783 | − | 13.8381i | −0.525336 | − | 0.520067i | ||||
\(709\) | −32.1273 | + | 26.3662i | −1.20656 | + | 0.990202i | −0.206634 | + | 0.978418i | \(0.566251\pi\) |
−0.999931 | + | 0.0117836i | \(0.996249\pi\) | |||||||
\(710\) | −4.73915 | + | 1.45066i | −0.177857 | + | 0.0544423i | ||||
\(711\) | 1.16101 | + | 1.73758i | 0.0435413 | + | 0.0651642i | ||||
\(712\) | 30.2693 | − | 0.228884i | 1.13439 | − | 0.00857777i | ||||
\(713\) | −1.62156 | − | 1.08349i | −0.0607280 | − | 0.0405772i | ||||
\(714\) | −11.7971 | + | 6.34398i | −0.441497 | + | 0.237418i | ||||
\(715\) | 1.12340 | + | 3.70335i | 0.0420127 | + | 0.138497i | ||||
\(716\) | 1.39324 | + | 2.57525i | 0.0520677 | + | 0.0962417i | ||||
\(717\) | 4.75427 | − | 5.79310i | 0.177551 | − | 0.216347i | ||||
\(718\) | −23.4965 | + | 9.80201i | −0.876880 | + | 0.365808i | ||||
\(719\) | 3.36745 | − | 8.12974i | 0.125585 | − | 0.303188i | −0.848565 | − | 0.529091i | \(-0.822533\pi\) |
0.974150 | + | 0.225903i | \(0.0725331\pi\) | |||||||
\(720\) | 2.22801 | + | 1.79120i | 0.0830332 | + | 0.0667541i | ||||
\(721\) | −6.06729 | − | 14.6477i | −0.225958 | − | 0.545511i | ||||
\(722\) | −3.21734 | − | 3.20116i | −0.119737 | − | 0.119135i | ||||
\(723\) | −27.7791 | + | 2.73600i | −1.03312 | + | 0.101753i | ||||
\(724\) | −13.8834 | − | 1.29677i | −0.515973 | − | 0.0481939i | ||||
\(725\) | −36.7485 | − | 19.6425i | −1.36480 | − | 0.729503i | ||||
\(726\) | −7.33920 | + | 0.741531i | −0.272383 | + | 0.0275208i | ||||
\(727\) | 8.02880 | + | 40.3635i | 0.297772 | + | 1.49700i | 0.782674 | + | 0.622431i | \(0.213855\pi\) |
−0.484903 | + | 0.874568i | \(0.661145\pi\) | |||||||
\(728\) | 11.0093 | − | 1.16844i | 0.408032 | − | 0.0433053i | ||||
\(729\) | −0.980785 | − | 0.195090i | −0.0363254 | − | 0.00722557i | ||||
\(730\) | −0.904778 | + | 0.746356i | −0.0334873 | + | 0.0276239i | ||||
\(731\) | −18.7778 | − | 1.84945i | −0.694523 | − | 0.0684045i | ||||
\(732\) | 0.821969 | − | 0.555236i | 0.0303808 | − | 0.0205221i | ||||
\(733\) | 42.7306 | + | 12.9622i | 1.57829 | + | 0.478770i | 0.953341 | − | 0.301894i | \(-0.0976190\pi\) |
0.624951 | + | 0.780664i | \(0.285119\pi\) | |||||||
\(734\) | −24.1328 | − | 16.0372i | −0.890758 | − | 0.591943i | ||||
\(735\) | −2.01018 | + | 2.01018i | −0.0741468 | + | 0.0741468i | ||||
\(736\) | −0.129479 | − | 10.2736i | −0.00477265 | − | 0.378691i | ||||
\(737\) | −7.17377 | − | 7.17377i | −0.264249 | − | 0.264249i | ||||
\(738\) | 2.48924 | + | 12.3515i | 0.0916303 | + | 0.454664i | ||||
\(739\) | −6.85788 | + | 22.6074i | −0.252271 | + | 0.831627i | 0.735743 | + | 0.677261i | \(0.236833\pi\) |
−0.988014 | + | 0.154365i | \(0.950667\pi\) | |||||||
\(740\) | 0.987281 | − | 0.201561i | 0.0362932 | − | 0.00740954i | ||||
\(741\) | 0.876968 | − | 8.90400i | 0.0322162 | − | 0.327097i | ||||
\(742\) | 0.535140 | − | 5.57744i | 0.0196456 | − | 0.204754i | ||||
\(743\) | 7.88405 | − | 39.6358i | 0.289238 | − | 1.45410i | −0.513668 | − | 0.857989i | \(-0.671714\pi\) |
0.802905 | − | 0.596107i | \(-0.203286\pi\) | |||||||
\(744\) | −3.02457 | − | 0.274819i | −0.110886 | − | 0.0100754i | ||||
\(745\) | 10.0625 | − | 2.00155i | 0.368660 | − | 0.0733311i | ||||
\(746\) | −8.18837 | − | 6.68555i | −0.299797 | − | 0.244775i | ||||
\(747\) | −1.93217 | + | 3.61483i | −0.0706943 | + | 0.132260i | ||||
\(748\) | 7.73342 | + | 25.0386i | 0.282762 | + | 0.915502i | ||||
\(749\) | 0.535522 | + | 5.43725i | 0.0195676 | + | 0.198673i | ||||
\(750\) | −9.59092 | + | 0.0241737i | −0.350211 | + | 0.000882700i | ||||
\(751\) | −44.1451 | + | 18.2855i | −1.61088 | + | 0.667247i | −0.992900 | − | 0.118949i | \(-0.962047\pi\) |
−0.617977 | + | 0.786196i | \(0.712047\pi\) | |||||||
\(752\) | 14.0657 | − | 34.9501i | 0.512923 | − | 1.27450i | ||||
\(753\) | −17.7620 | − | 7.35725i | −0.647282 | − | 0.268113i | ||||
\(754\) | 27.3338 | + | 11.2414i | 0.995440 | + | 0.409388i | ||||
\(755\) | 8.04565 | + | 6.60290i | 0.292811 | + | 0.240304i | ||||
\(756\) | 3.45843 | − | 0.358238i | 0.125782 | − | 0.0130290i | ||||
\(757\) | −35.4850 | + | 10.7643i | −1.28973 | + | 0.391234i | −0.859337 | − | 0.511410i | \(-0.829123\pi\) |
−0.430388 | + | 0.902644i | \(0.641623\pi\) | |||||||
\(758\) | −0.404793 | + | 1.34663i | −0.0147028 | + | 0.0489120i | ||||
\(759\) | 2.42681 | − | 3.63197i | 0.0880875 | − | 0.131832i | ||||
\(760\) | −4.41211 | + | 6.71251i | −0.160044 | + | 0.243488i | ||||
\(761\) | −6.69219 | + | 4.47158i | −0.242592 | + | 0.162095i | −0.670923 | − | 0.741527i | \(-0.734102\pi\) |
0.428331 | + | 0.903622i | \(0.359102\pi\) | |||||||
\(762\) | 8.43311 | + | 4.48030i | 0.305500 | + | 0.162304i | ||||
\(763\) | 14.3771 | + | 17.5185i | 0.520484 | + | 0.634212i | ||||
\(764\) | 34.4054 | + | 14.0484i | 1.24474 | + | 0.508254i | ||||
\(765\) | −3.43398 | + | 1.83550i | −0.124156 | + | 0.0663626i | ||||
\(766\) | 20.9374 | + | 31.1647i | 0.756500 | + | 1.12603i | ||||
\(767\) | −22.1432 | −0.799546 | ||||||||
\(768\) | −7.82532 | − | 13.9558i | −0.282372 | − | 0.503587i | ||||
\(769\) | −1.42178 | −0.0512707 | −0.0256354 | − | 0.999671i | \(-0.508161\pi\) | ||||
−0.0256354 | + | 0.999671i | \(0.508161\pi\) | |||||||
\(770\) | −2.35659 | − | 3.50771i | −0.0849256 | − | 0.126409i | ||||
\(771\) | 4.36339 | − | 2.33228i | 0.157144 | − | 0.0839950i | ||||
\(772\) | −46.6525 | − | 19.0491i | −1.67906 | − | 0.685593i | ||||
\(773\) | 3.54403 | + | 4.31842i | 0.127470 | + | 0.155323i | 0.832834 | − | 0.553522i | \(-0.186717\pi\) |
−0.705364 | + | 0.708845i | \(0.749217\pi\) | |||||||
\(774\) | 4.32531 | + | 2.29793i | 0.155470 | + | 0.0825974i | ||||
\(775\) | 4.00795 | − | 2.67802i | 0.143970 | − | 0.0961975i | ||||
\(776\) | 44.8321 | + | 29.4680i | 1.60938 | + | 1.05784i | ||||
\(777\) | 0.680876 | − | 1.01900i | 0.0244263 | − | 0.0365565i | ||||
\(778\) | 15.6191 | − | 51.9604i | 0.559972 | − | 1.86287i | ||||
\(779\) | −33.8794 | + | 10.2772i | −1.21385 | + | 0.368219i | ||||
\(780\) | 3.20117 | − | 0.331589i | 0.114620 | − | 0.0118728i | ||||
\(781\) | 9.11626 | + | 7.48152i | 0.326206 | + | 0.267710i | ||||
\(782\) | 12.9425 | + | 5.32277i | 0.462822 | + | 0.190342i | ||||
\(783\) | 8.57539 | + | 3.55204i | 0.306459 | + | 0.126940i | ||||
\(784\) | 14.6376 | − | 6.23673i | 0.522772 | − | 0.222740i | ||||
\(785\) | 8.55468 | − | 3.54347i | 0.305330 | − | 0.126472i | ||||
\(786\) | 10.9358 | − | 0.0275635i | 0.390068 | − | 0.000983159i | ||||
\(787\) | 4.83804 | + | 49.1214i | 0.172457 | + | 1.75099i | 0.559411 | + | 0.828891i | \(0.311028\pi\) |
−0.386953 | + | 0.922099i | \(0.626472\pi\) | |||||||
\(788\) | 8.36191 | + | 27.0735i | 0.297881 | + | 0.964452i | ||||
\(789\) | 7.44006 | − | 13.9194i | 0.264873 | − | 0.495543i | ||||
\(790\) | −1.63610 | − | 1.33583i | −0.0582098 | − | 0.0475265i | ||||
\(791\) | 17.9282 | − | 3.56614i | 0.637453 | − | 0.126797i | ||||
\(792\) | 0.615540 | − | 6.77443i | 0.0218722 | − | 0.240719i | ||||
\(793\) | 0.217854 | − | 1.09523i | 0.00773622 | − | 0.0388926i | ||||
\(794\) | −1.84440 | + | 19.2231i | −0.0654552 | + | 0.682201i | ||||
\(795\) | 0.159647 | − | 1.62093i | 0.00566210 | − | 0.0574883i | ||||
\(796\) | 17.5933 | − | 3.59181i | 0.623577 | − | 0.127308i | ||||
\(797\) | −3.00552 | + | 9.90786i | −0.106461 | + | 0.350954i | −0.993944 | − | 0.109885i | \(-0.964952\pi\) |
0.887483 | + | 0.460840i | \(0.152452\pi\) | |||||||
\(798\) | 1.93013 | + | 9.57719i | 0.0683258 | + | 0.339029i | ||||
\(799\) | 36.2846 | + | 36.2846i | 1.28366 | + | 1.28366i | ||||
\(800\) | 23.5824 | + | 9.42176i | 0.833764 | + | 0.333110i | ||||
\(801\) | 7.56754 | − | 7.56754i | 0.267386 | − | 0.267386i | ||||
\(802\) | 16.4816 | + | 10.9527i | 0.581986 | + | 0.386753i | ||||
\(803\) | 2.67070 | + | 0.810147i | 0.0942468 | + | 0.0285895i | ||||
\(804\) | −6.99124 | + | 4.72255i | −0.246562 | + | 0.166552i | ||||
\(805\) | −2.24579 | − | 0.221191i | −0.0791537 | − | 0.00779596i | ||||
\(806\) | −2.63745 | + | 2.17565i | −0.0929003 | + | 0.0766339i | ||||
\(807\) | −13.6958 | − | 2.72426i | −0.482114 | − | 0.0958984i | ||||
\(808\) | −2.14788 | − | 20.2378i | −0.0755621 | − | 0.711964i | ||||
\(809\) | −1.96753 | − | 9.89143i | −0.0691746 | − | 0.347764i | 0.930661 | − | 0.365882i | \(-0.119233\pi\) |
−0.999836 | + | 0.0181177i | \(0.994233\pi\) | |||||||
\(810\) | 1.00560 | − | 0.101603i | 0.0353332 | − | 0.00356996i | ||||
\(811\) | −36.0172 | − | 19.2516i | −1.26474 | − | 0.676016i | −0.303787 | − | 0.952740i | \(-0.598251\pi\) |
−0.960949 | + | 0.276724i | \(0.910751\pi\) | |||||||
\(812\) | −32.1328 | − | 3.00134i | −1.12764 | − | 0.105326i | ||||
\(813\) | −2.23821 | + | 0.220445i | −0.0784976 | + | 0.00773133i | ||||
\(814\) | −1.69968 | − | 1.69113i | −0.0595738 | − | 0.0592742i | ||||
\(815\) | 4.92770 | + | 11.8965i | 0.172610 | + | 0.416717i | ||||
\(816\) | 21.6652 | − | 2.35460i | 0.758433 | − | 0.0824276i | ||||
\(817\) | −5.26660 | + | 12.7147i | −0.184255 | + | 0.444831i | ||||
\(818\) | 16.1616 | − | 6.74213i | 0.565077 | − | 0.235733i | ||||
\(819\) | 2.48317 | − | 3.02575i | 0.0867688 | − | 0.105728i | ||||
\(820\) | −6.05972 | − | 11.2008i | −0.211615 | − | 0.391148i | ||||
\(821\) | −2.14148 | − | 7.05953i | −0.0747383 | − | 0.246379i | 0.911609 | − | 0.411059i | \(-0.134841\pi\) |
−0.986347 | + | 0.164680i | \(0.947341\pi\) | |||||||
\(822\) | 13.8287 | − | 7.43645i | 0.482330 | − | 0.259376i | ||||
\(823\) | −18.0824 | − | 12.0823i | −0.630314 | − | 0.421162i | 0.198958 | − | 0.980008i | \(-0.436244\pi\) |
−0.829272 | + | 0.558846i | \(0.811244\pi\) | |||||||
\(824\) | 0.195044 | + | 25.7941i | 0.00679469 | + | 0.898582i | ||||
\(825\) | 5.99823 | + | 8.97699i | 0.208832 | + | 0.312539i | ||||
\(826\) | 23.1203 | − | 7.07716i | 0.804459 | − | 0.246246i | ||||
\(827\) | 27.8081 | − | 22.8215i | 0.966983 | − | 0.793583i | −0.0114947 | − | 0.999934i | \(-0.503659\pi\) |
0.978478 | + | 0.206351i | \(0.0661589\pi\) | |||||||
\(828\) | −2.58152 | − | 2.55563i | −0.0897142 | − | 0.0888142i | ||||
\(829\) | 11.9609 | + | 22.3773i | 0.415420 | + | 0.777197i | 0.999402 | − | 0.0345699i | \(-0.0110061\pi\) |
−0.583982 | + | 0.811767i | \(0.698506\pi\) | |||||||
\(830\) | 0.797967 | − | 4.06518i | 0.0276979 | − | 0.141104i | ||||
\(831\) | − | 23.3443i | − | 0.809803i | ||||||
\(832\) | −17.3138 | − | 4.96745i | −0.600249 | − | 0.172215i | ||||
\(833\) | 21.6714i | 0.750869i | ||||||||
\(834\) | −16.5016 | − | 3.23915i | −0.571402 | − | 0.112163i | ||||
\(835\) | 7.49758 | + | 14.0270i | 0.259465 | + | 0.485424i | ||||
\(836\) | 19.1135 | − | 0.0963508i | 0.661053 | − | 0.00333236i | ||||
\(837\) | −0.830022 | + | 0.681182i | −0.0286898 | + | 0.0235451i | ||||
\(838\) | −3.91436 | − | 12.7878i | −0.135219 | − | 0.441748i | ||||
\(839\) | 13.0095 | + | 19.4700i | 0.449136 | + | 0.672180i | 0.985085 | − | 0.172071i | \(-0.0550458\pi\) |
−0.535948 | + | 0.844251i | \(0.680046\pi\) | |||||||
\(840\) | −3.23645 | + | 1.36934i | −0.111668 | + | 0.0472468i | ||||
\(841\) | −47.5220 | − | 31.7532i | −1.63869 | − | 1.09494i | ||||
\(842\) | −13.6802 | − | 25.4394i | −0.471450 | − | 0.876698i | ||||
\(843\) | 3.66142 | + | 12.0701i | 0.126106 | + | 0.415716i | ||||
\(844\) | −10.5253 | + | 35.3375i | −0.362295 | + | 1.21637i | ||||
\(845\) | −3.59565 | + | 4.38132i | −0.123694 | + | 0.150722i | ||||
\(846\) | −5.12830 | − | 12.2931i | −0.176314 | − | 0.422645i | ||||
\(847\) | 3.47013 | − | 8.37764i | 0.119235 | − | 0.287859i | ||||
\(848\) | −4.21597 | + | 8.08249i | −0.144777 | + | 0.277554i | ||||
\(849\) | 0.0730989 | + | 0.176476i | 0.00250875 | + | 0.00605665i | ||||
\(850\) | −24.3964 | + | 24.5197i | −0.836789 | + | 0.841018i | ||||
\(851\) | −1.27423 | + | 0.125501i | −0.0436801 | + | 0.00430212i | ||||
\(852\) | 7.54966 | − | 6.25980i | 0.258647 | − | 0.214457i | ||||
\(853\) | 13.7053 | + | 7.32566i | 0.469262 | + | 0.250826i | 0.689039 | − | 0.724724i | \(-0.258033\pi\) |
−0.219777 | + | 0.975550i | \(0.570533\pi\) | |||||||
\(854\) | 0.122576 | + | 1.21318i | 0.00419447 | + | 0.0415142i | ||||
\(855\) | 0.554055 | + | 2.78542i | 0.0189483 | + | 0.0952595i | ||||
\(856\) | 2.51595 | − | 8.52552i | 0.0859935 | − | 0.291396i | ||||
\(857\) | 23.1353 | + | 4.60189i | 0.790286 | + | 0.157198i | 0.573700 | − | 0.819066i | \(-0.305508\pi\) |
0.216586 | + | 0.976263i | \(0.430508\pi\) | |||||||
\(858\) | −4.87301 | − | 5.90736i | −0.166362 | − | 0.201674i | ||||
\(859\) | −16.1217 | − | 1.58785i | −0.550066 | − | 0.0541768i | −0.180833 | − | 0.983514i | \(-0.557879\pi\) |
−0.369233 | + | 0.929337i | \(0.620379\pi\) | |||||||
\(860\) | −4.86003 | − | 0.941277i | −0.165726 | − | 0.0320973i | ||||
\(861\) | −14.8218 | − | 4.49614i | −0.505126 | − | 0.153228i | ||||
\(862\) | −8.50563 | + | 12.7993i | −0.289703 | + | 0.435946i | ||||
\(863\) | −26.5907 | + | 26.5907i | −0.905159 | + | 0.905159i | −0.995877 | − | 0.0907172i | \(-0.971084\pi\) |
0.0907172 | + | 0.995877i | \(0.471084\pi\) | |||||||
\(864\) | −5.43354 | − | 1.57375i | −0.184853 | − | 0.0535400i | ||||
\(865\) | 10.8050 | + | 10.8050i | 0.367382 | + | 0.367382i | ||||
\(866\) | 25.9802 | − | 5.23589i | 0.882844 | − | 0.177923i | ||||
\(867\) | −3.68160 | + | 12.1366i | −0.125034 | + | 0.412181i | ||||
\(868\) | 2.05848 | − | 3.11460i | 0.0698692 | − | 0.105716i | ||||
\(869\) | −0.492621 | + | 5.00167i | −0.0167110 | + | 0.169670i | ||||
\(870\) | −9.33855 | − | 0.896007i | −0.316606 | − | 0.0303775i | ||||
\(871\) | −1.85296 | + | 9.31544i | −0.0627850 | + | 0.315642i | ||||
\(872\) | −10.9697 | − | 35.2018i | −0.371480 | − | 1.19208i | ||||
\(873\) | 18.6035 | − | 3.70047i | 0.629634 | − | 0.125242i | ||||
\(874\) | 6.45536 | − | 7.90643i | 0.218356 | − | 0.267439i | ||||
\(875\) | 5.55776 | − | 10.3978i | 0.187887 | − | 0.351511i | ||||
\(876\) | 1.08373 | − | 2.05234i | 0.0366159 | − | 0.0693421i | ||||
\(877\) | −3.20960 | − | 32.5876i | −0.108381 | − | 1.10041i | −0.883449 | − | 0.468528i | \(-0.844784\pi\) |
0.775068 | − | 0.631878i | \(-0.217716\pi\) | |||||||
\(878\) | −0.136096 | − | 53.9961i | −0.00459302 | − | 1.82228i | ||||
\(879\) | −10.1834 | + | 4.21810i | −0.343478 | + | 0.142273i | ||||
\(880\) | 1.40921 | + | 6.72929i | 0.0475045 | + | 0.226844i | ||||
\(881\) | 14.5761 | + | 6.03760i | 0.491080 | + | 0.203412i | 0.614461 | − | 0.788947i | \(-0.289374\pi\) |
−0.123381 | + | 0.992359i | \(0.539374\pi\) | |||||||
\(882\) | 2.13962 | − | 5.20256i | 0.0720449 | − | 0.175179i | ||||
\(883\) | 41.8706 | + | 34.3623i | 1.40906 | + | 1.15638i | 0.965582 | + | 0.260097i | \(0.0837546\pi\) |
0.443475 | + | 0.896287i | \(0.353745\pi\) | |||||||
\(884\) | 15.4682 | − | 19.0430i | 0.520251 | − | 0.640485i | ||||
\(885\) | 6.72608 | − | 2.04033i | 0.226095 | − | 0.0685850i | ||||
\(886\) | 7.42992 | + | 2.23341i | 0.249613 | + | 0.0750328i | ||||
\(887\) | 26.4828 | − | 39.6343i | 0.889206 | − | 1.33079i | −0.0539859 | − | 0.998542i | \(-0.517193\pi\) |
0.943192 | − | 0.332249i | \(-0.107807\pi\) | |||||||
\(888\) | −1.64946 | + | 1.12027i | −0.0553522 | + | 0.0375936i | ||||
\(889\) | −9.76052 | + | 6.52177i | −0.327357 | + | 0.218733i | ||||
\(890\) | −5.07497 | + | 9.55243i | −0.170113 | + | 0.320198i | ||||
\(891\) | −1.52571 | − | 1.85908i | −0.0511132 | − | 0.0622816i | ||||
\(892\) | 20.0715 | + | 47.7743i | 0.672043 | + | 1.59960i | ||||
\(893\) | 33.0078 | − | 17.6430i | 1.10456 | − | 0.590401i | ||||
\(894\) | −16.8516 | + | 11.3215i | −0.563603 | + | 0.378646i | ||||
\(895\) | −1.04629 | −0.0349737 | ||||||||
\(896\) | 19.6655 | − | 0.347000i | 0.656977 | − | 0.0115925i | ||||
\(897\) | −4.08943 | −0.136542 | ||||||||
\(898\) | 6.38458 | − | 4.28936i | 0.213056 | − | 0.143138i | ||||
\(899\) | 8.78967 | − | 4.69818i | 0.293152 | − | 0.156693i | ||||
\(900\) | 8.27758 | − | 3.47767i | 0.275919 | − | 0.115922i | ||||
\(901\) | −7.87687 | − | 9.59800i | −0.262417 | − | 0.319756i | ||||
\(902\) | −14.2171 | + | 26.7603i | −0.473377 | + | 0.891020i | ||||
\(903\) | −5.00614 | + | 3.34499i | −0.166594 | + | 0.111314i | ||||
\(904\) | −29.2116 | − | 5.58126i | −0.971563 | − | 0.185630i | ||||
\(905\) | 2.76826 | − | 4.14300i | 0.0920201 | − | 0.137718i | ||||
\(906\) | −19.7238 | − | 5.92890i | −0.655279 | − | 0.196974i | ||||
\(907\) | 23.8396 | − | 7.23165i | 0.791580 | − | 0.240123i | 0.131497 | − | 0.991317i | \(-0.458021\pi\) |
0.660082 | + | 0.751193i | \(0.270521\pi\) | |||||||
\(908\) | 22.9439 | + | 18.6368i | 0.761421 | + | 0.618485i | ||||
\(909\) | −5.56207 | − | 4.56467i | −0.184482 | − | 0.151401i | ||||
\(910\) | −1.50475 | + | 3.65886i | −0.0498821 | + | 0.121290i | ||||
\(911\) | −23.1112 | − | 9.57299i | −0.765709 | − | 0.317167i | −0.0345762 | − | 0.999402i | \(-0.511008\pi\) |
−0.731133 | + | 0.682235i | \(0.761008\pi\) | |||||||
\(912\) | 2.94364 | − | 15.6201i | 0.0974736 | − | 0.517232i | ||||
\(913\) | −9.10724 | + | 3.77234i | −0.301406 | + | 0.124846i | ||||
\(914\) | 0.0811667 | + | 32.2029i | 0.00268476 | + | 1.06518i | ||||
\(915\) | 0.0347430 | + | 0.352752i | 0.00114857 | + | 0.0116616i | ||||
\(916\) | 16.1648 | + | 8.53576i | 0.534099 | + | 0.282030i | ||||
\(917\) | −6.33711 | + | 11.8559i | −0.209270 | + | 0.391516i | ||||
\(918\) | 4.87291 | − | 5.96827i | 0.160830 | − | 0.196982i | ||||
\(919\) | −47.2885 | + | 9.40628i | −1.55991 | + | 0.310284i | −0.898237 | − | 0.439512i | \(-0.855151\pi\) |
−0.661668 | + | 0.749797i | \(0.730151\pi\) | |||||||
\(920\) | 3.25097 | + | 1.70620i | 0.107181 | + | 0.0562518i | ||||
\(921\) | 3.16030 | − | 15.8879i | 0.104135 | − | 0.523524i | ||||
\(922\) | 57.6697 | + | 5.53324i | 1.89925 | + | 0.182228i | ||||
\(923\) | 1.08218 | − | 10.9876i | 0.0356205 | − | 0.361661i | ||||
\(924\) | 6.97608 | + | 4.61057i | 0.229496 | + | 0.151677i | ||||
\(925\) | 0.918665 | − | 3.02843i | 0.0302055 | − | 0.0995743i | ||||
\(926\) | −26.6168 | + | 5.36418i | −0.874682 | + | 0.176278i | ||||
\(927\) | 6.44872 | + | 6.44872i | 0.211804 | + | 0.211804i | ||||
\(928\) | 46.6149 | + | 24.1659i | 1.53021 | + | 0.793284i | ||||
\(929\) | 28.9168 | − | 28.9168i | 0.948728 | − | 0.948728i | −0.0500200 | − | 0.998748i | \(-0.515929\pi\) |
0.998748 | + | 0.0500200i | \(0.0159285\pi\) | |||||||
\(930\) | 0.600664 | − | 0.903881i | 0.0196965 | − | 0.0296394i | ||||
\(931\) | 15.1259 | + | 4.58839i | 0.495731 | + | 0.150378i | ||||
\(932\) | −5.09919 | + | 26.3283i | −0.167030 | + | 0.862413i | ||||
\(933\) | −22.7300 | − | 2.23871i | −0.744146 | − | 0.0732920i | ||||
\(934\) | −3.81533 | − | 4.62517i | −0.124841 | − | 0.151340i | ||||
\(935\) | −9.18449 | − | 1.82691i | −0.300365 | − | 0.0597463i | ||||
\(936\) | −5.59350 | + | 3.04439i | −0.182829 | + | 0.0995090i | ||||
\(937\) | 3.56167 | + | 17.9057i | 0.116355 | + | 0.584955i | 0.994338 | + | 0.106264i | \(0.0338888\pi\) |
−0.877983 | + | 0.478691i | \(0.841111\pi\) | |||||||
\(938\) | −1.04257 | − | 10.3187i | −0.0340411 | − | 0.336918i | ||||
\(939\) | −19.5827 | − | 10.4672i | −0.639057 | − | 0.341583i | ||||
\(940\) | 8.59298 | + | 10.3636i | 0.280272 | + | 0.338023i | ||||
\(941\) | 26.3304 | − | 2.59331i | 0.858345 | − | 0.0845396i | 0.340738 | − | 0.940158i | \(-0.389323\pi\) |
0.517607 | + | 0.855619i | \(0.326823\pi\) | |||||||
\(942\) | −12.9234 | + | 12.9887i | −0.421066 | + | 0.423193i | ||||
\(943\) | 6.19258 | + | 14.9502i | 0.201658 | + | 0.486846i | ||||
\(944\) | −39.1862 | − | 3.46099i | −1.27540 | − | 0.112645i | ||||
\(945\) | −0.475469 | + | 1.14788i | −0.0154670 | + | 0.0373407i | ||||
\(946\) | 4.53514 | + | 10.8712i | 0.147450 | + | 0.353454i | ||||
\(947\) | −11.0774 | + | 13.4979i | −0.359969 | + | 0.438623i | −0.921232 | − | 0.389015i | \(-0.872816\pi\) |
0.561263 | + | 0.827637i | \(0.310316\pi\) | |||||||
\(948\) | 4.00563 | + | 1.19308i | 0.130097 | + | 0.0387493i | ||||
\(949\) | −0.758457 | − | 2.50030i | −0.0246205 | − | 0.0811631i | ||||
\(950\) | 11.9486 | + | 22.2193i | 0.387663 | + | 0.720889i | ||||
\(951\) | −12.2346 | − | 8.17488i | −0.396733 | − | 0.265089i | ||||
\(952\) | −10.0644 | + | 24.8270i | −0.326190 | + | 0.804649i | ||||
\(953\) | 28.6022 | + | 42.8063i | 0.926518 | + | 1.38663i | 0.922230 | + | 0.386641i | \(0.126365\pi\) |
0.00428723 | + | 0.999991i | \(0.498635\pi\) | |||||||
\(954\) | 0.943354 | + | 3.08184i | 0.0305422 | + | 0.0997781i | ||||
\(955\) | −10.2655 | + | 8.42472i | −0.332185 | + | 0.272618i | ||||
\(956\) | −0.0755555 | − | 14.9882i | −0.00244364 | − | 0.484753i | ||||
\(957\) | 10.5230 | + | 19.6871i | 0.340159 | + | 0.636393i | ||||
\(958\) | −20.3797 | − | 4.00040i | −0.658439 | − | 0.129247i | ||||
\(959\) | 19.3014i | 0.623275i | ||||||||
\(960\) | 5.71684 | − | 0.0864616i | 0.184510 | − | 0.00279053i | ||||
\(961\) | − | 29.8471i | − | 0.962808i | ||||||
\(962\) | −0.432368 | + | 2.20266i | −0.0139401 | + | 0.0710166i | ||||
\(963\) | −1.48148 | − | 2.77165i | −0.0477400 | − | 0.0893152i | ||||
\(964\) | −39.2761 | + | 39.6741i | −1.26500 | + | 1.27782i | ||||
\(965\) | 13.9197 | − | 11.4236i | 0.448091 | − | 0.367739i | ||||
\(966\) | 4.26988 | − | 1.30702i | 0.137381 | − | 0.0420526i | ||||
\(967\) | 32.1758 | + | 48.1545i | 1.03470 | + | 1.54855i | 0.820410 | + | 0.571776i | \(0.193746\pi\) |
0.214295 | + | 0.976769i | \(0.431254\pi\) | |||||||
\(968\) | −10.3529 | + | 10.5106i | −0.332754 | + | 0.337824i | ||||
\(969\) | 18.0011 | + | 12.0280i | 0.578279 | + | 0.386394i | ||||
\(970\) | −16.8848 | + | 9.07989i | −0.542138 | + | 0.291538i | ||||
\(971\) | 12.5414 | + | 41.3435i | 0.402473 | + | 1.32678i | 0.890911 | + | 0.454178i | \(0.150067\pi\) |
−0.488437 | + | 0.872599i | \(0.662433\pi\) | |||||||
\(972\) | −1.75907 | + | 0.951673i | −0.0564221 | + | 0.0305249i | ||||
\(973\) | 13.1143 | − | 15.9798i | 0.420425 | − | 0.512290i | ||||
\(974\) | −13.2227 | + | 5.51609i | −0.423681 | + | 0.176747i | ||||
\(975\) | 3.86804 | − | 9.33828i | 0.123876 | − | 0.299064i | ||||
\(976\) | 0.556714 | − | 1.90414i | 0.0178200 | − | 0.0609500i | ||||
\(977\) | −12.5955 | − | 30.4082i | −0.402965 | − | 0.972843i | −0.986942 | − | 0.161074i | \(-0.948504\pi\) |
0.583977 | − | 0.811770i | \(-0.301496\pi\) | |||||||
\(978\) | −18.0626 | − | 17.9718i | −0.577579 | − | 0.574675i | ||||
\(979\) | 25.6146 | − | 2.52281i | 0.818645 | − | 0.0806295i | ||||
\(980\) | −0.528762 | + | 5.66102i | −0.0168907 | + | 0.180835i | ||||
\(981\) | −11.4967 | − | 6.14513i | −0.367062 | − | 0.196199i | ||||
\(982\) | 4.83834 | − | 0.488852i | 0.154398 | − | 0.0155999i | ||||
\(983\) | −5.91957 | − | 29.7597i | −0.188805 | − | 0.949186i | −0.952715 | − | 0.303864i | \(-0.901723\pi\) |
0.763910 | − | 0.645322i | \(-0.223277\pi\) | |||||||
\(984\) | 19.5999 | + | 15.8387i | 0.624822 | + | 0.504920i | ||||
\(985\) | −9.93091 | − | 1.97538i | −0.316425 | − | 0.0629408i | ||||
\(986\) | −55.1683 | + | 45.5087i | −1.75692 | + | 1.44929i | ||||
\(987\) | 16.2950 | + | 1.60492i | 0.518677 | + | 0.0510852i | ||||
\(988\) | −10.0163 | − | 14.8282i | −0.318662 | − | 0.471746i | ||||
\(989\) | 6.01946 | + | 1.82598i | 0.191408 | + | 0.0580629i | ||||
\(990\) | 2.02451 | + | 1.34537i | 0.0643432 | + | 0.0427586i | ||||
\(991\) | 33.0339 | − | 33.0339i | 1.04936 | − | 1.04936i | 0.0506383 | − | 0.998717i | \(-0.483874\pi\) |
0.998717 | − | 0.0506383i | \(-0.0161256\pi\) | |||||||
\(992\) | −5.00747 | + | 3.43795i | −0.158987 | + | 0.109155i | ||||
\(993\) | 13.4200 | + | 13.4200i | 0.425872 | + | 0.425872i | ||||
\(994\) | 2.38179 | + | 11.8183i | 0.0755457 | + | 0.374853i | ||||
\(995\) | −1.86262 | + | 6.14023i | −0.0590490 | + | 0.194658i | ||||
\(996\) | 1.63979 | + | 8.03195i | 0.0519586 | + | 0.254502i | ||||
\(997\) | 0.856344 | − | 8.69461i | 0.0271207 | − | 0.275361i | −0.972055 | − | 0.234755i | \(-0.924571\pi\) |
0.999175 | − | 0.0406059i | \(-0.0129288\pi\) | |||||||
\(998\) | −2.71292 | + | 28.2752i | −0.0858761 | + | 0.895036i | ||||
\(999\) | −0.137530 | + | 0.691411i | −0.00435126 | + | 0.0218753i |
(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 | 384.2.v.a.229.9 | yes | 512 | |
128.109 | even | 32 | inner | 384.2.v.a.109.9 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.109.9 | ✓ | 512 | 128.109 | even | 32 | inner | |
384.2.v.a.229.9 | yes | 512 | 1.1 | even | 1 | trivial |