Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), degree \(12\), 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: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 37.8 | ||
Character | \(\chi\) | \(=\) | 392.37 |
Dual form | 392.2.z.a.53.8 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{16}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26332 | + | 0.635636i | −0.893299 | + | 0.449463i | ||||
\(3\) | 1.08411 | + | 1.16839i | 0.625910 | + | 0.674571i | 0.963803 | − | 0.266614i | \(-0.0859048\pi\) |
−0.337893 | + | 0.941184i | \(0.609714\pi\) | |||||||
\(4\) | 1.19193 | − | 1.60602i | 0.595966 | − | 0.803009i | ||||
\(5\) | −0.529378 | + | 1.71620i | −0.236745 | + | 0.767509i | 0.756757 | + | 0.653696i | \(0.226783\pi\) |
−0.993502 | + | 0.113813i | \(0.963694\pi\) | |||||||
\(6\) | −2.11224 | − | 0.786948i | −0.862319 | − | 0.321270i | ||||
\(7\) | −2.34752 | + | 1.22032i | −0.887277 | + | 0.461236i | ||||
\(8\) | −0.484943 | + | 2.78654i | −0.171453 | + | 0.985192i | ||||
\(9\) | 0.0343439 | − | 0.458288i | 0.0114480 | − | 0.152763i | ||||
\(10\) | −0.422109 | − | 2.50460i | −0.133482 | − | 0.792023i | ||||
\(11\) | −4.71137 | + | 0.353068i | −1.42053 | + | 0.106454i | −0.762720 | − | 0.646729i | \(-0.776137\pi\) |
−0.657811 | + | 0.753183i | \(0.728518\pi\) | |||||||
\(12\) | 3.16864 | − | 0.348455i | 0.914708 | − | 0.100590i | ||||
\(13\) | −0.558298 | + | 1.15932i | −0.154844 | + | 0.321537i | −0.963931 | − | 0.266152i | \(-0.914248\pi\) |
0.809087 | + | 0.587689i | \(0.199962\pi\) | |||||||
\(14\) | 2.18998 | − | 3.03381i | 0.585296 | − | 0.810820i | ||||
\(15\) | −2.57910 | + | 1.24203i | −0.665920 | + | 0.320690i | ||||
\(16\) | −1.15859 | − | 3.82853i | −0.289648 | − | 0.957133i | ||||
\(17\) | −3.60762 | − | 0.543762i | −0.874977 | − | 0.131882i | −0.303827 | − | 0.952727i | \(-0.598265\pi\) |
−0.571150 | + | 0.820846i | \(0.693503\pi\) | |||||||
\(18\) | 0.247917 | + | 0.600792i | 0.0584346 | + | 0.141608i | ||||
\(19\) | 4.74129 | + | 2.73738i | 1.08773 | + | 0.627999i | 0.932970 | − | 0.359954i | \(-0.117207\pi\) |
0.154756 | + | 0.987953i | \(0.450541\pi\) | |||||||
\(20\) | 2.12527 | + | 2.89579i | 0.475225 | + | 0.647518i | ||||
\(21\) | −3.97077 | − | 1.41986i | −0.866492 | − | 0.309839i | ||||
\(22\) | 5.72752 | − | 3.44075i | 1.22111 | − | 0.733571i | ||||
\(23\) | −7.55176 | + | 1.13824i | −1.57465 | + | 0.237340i | −0.877497 | − | 0.479581i | \(-0.840789\pi\) |
−0.697154 | + | 0.716922i | \(0.745550\pi\) | |||||||
\(24\) | −3.78150 | + | 2.45431i | −0.771896 | + | 0.500984i | ||||
\(25\) | 1.46609 | + | 0.999561i | 0.293217 | + | 0.199912i | ||||
\(26\) | −0.0315979 | − | 1.81946i | −0.00619686 | − | 0.356825i | ||||
\(27\) | 4.31111 | − | 3.43799i | 0.829673 | − | 0.661642i | ||||
\(28\) | −0.838231 | + | 5.22469i | −0.158411 | + | 0.987373i | ||||
\(29\) | 6.72404 | + | 5.36224i | 1.24862 | + | 0.995744i | 0.999629 | + | 0.0272387i | \(0.00867144\pi\) |
0.248994 | + | 0.968505i | \(0.419900\pi\) | |||||||
\(30\) | 2.46874 | − | 3.20844i | 0.450727 | − | 0.585779i | ||||
\(31\) | −0.368485 | − | 0.638234i | −0.0661818 | − | 0.114630i | 0.831036 | − | 0.556219i | \(-0.187748\pi\) |
−0.897218 | + | 0.441589i | \(0.854415\pi\) | |||||||
\(32\) | 3.89722 | + | 4.10020i | 0.688938 | + | 0.724820i | ||||
\(33\) | −5.52016 | − | 5.12196i | −0.960936 | − | 0.891618i | ||||
\(34\) | 4.90320 | − | 1.60619i | 0.840892 | − | 0.275460i | ||||
\(35\) | −0.851585 | − | 4.67482i | −0.143944 | − | 0.790189i | ||||
\(36\) | −0.695083 | − | 0.601405i | −0.115847 | − | 0.100234i | ||||
\(37\) | −6.57534 | + | 2.58063i | −1.08098 | + | 0.424253i | −0.837940 | − | 0.545763i | \(-0.816240\pi\) |
−0.243040 | + | 0.970016i | \(0.578145\pi\) | |||||||
\(38\) | −7.72973 | − | 0.444445i | −1.25393 | − | 0.0720985i | ||||
\(39\) | −1.95979 | + | 0.604515i | −0.313818 | + | 0.0967999i | ||||
\(40\) | −4.52555 | − | 2.30740i | −0.715553 | − | 0.364831i | ||||
\(41\) | −1.11229 | − | 4.87325i | −0.173710 | − | 0.761074i | −0.984450 | − | 0.175667i | \(-0.943792\pi\) |
0.810740 | − | 0.585407i | \(-0.199065\pi\) | |||||||
\(42\) | 5.91885 | − | 0.730231i | 0.913298 | − | 0.112677i | ||||
\(43\) | −0.167094 | − | 0.0381381i | −0.0254816 | − | 0.00581601i | 0.209761 | − | 0.977753i | \(-0.432731\pi\) |
−0.235243 | + | 0.971937i | \(0.575589\pi\) | |||||||
\(44\) | −5.04860 | + | 7.98738i | −0.761105 | + | 1.20414i | ||||
\(45\) | 0.768333 | + | 0.301549i | 0.114536 | + | 0.0449522i | ||||
\(46\) | 8.81675 | − | 6.23814i | 1.29996 | − | 0.919763i | ||||
\(47\) | −8.06065 | + | 5.49566i | −1.17577 | + | 0.801624i | −0.983711 | − | 0.179760i | \(-0.942468\pi\) |
−0.192056 | + | 0.981384i | \(0.561516\pi\) | |||||||
\(48\) | 3.21718 | − | 5.50423i | 0.464360 | − | 0.794467i | ||||
\(49\) | 4.02166 | − | 5.72942i | 0.574523 | − | 0.818489i | ||||
\(50\) | −2.48749 | − | 0.330863i | −0.351784 | − | 0.0467911i | ||||
\(51\) | −3.27573 | − | 4.80461i | −0.458694 | − | 0.672780i | ||||
\(52\) | 1.19643 | + | 2.27847i | 0.165915 | + | 0.315966i | ||||
\(53\) | 1.16683 | + | 0.457945i | 0.160276 | + | 0.0629036i | 0.444123 | − | 0.895966i | \(-0.353515\pi\) |
−0.283847 | + | 0.958870i | \(0.591611\pi\) | |||||||
\(54\) | −3.26098 | + | 7.08357i | −0.443763 | + | 0.963952i | ||||
\(55\) | 1.88816 | − | 8.27257i | 0.254599 | − | 1.11547i | ||||
\(56\) | −2.26205 | − | 7.13324i | −0.302279 | − | 0.953219i | ||||
\(57\) | 1.94174 | + | 8.50730i | 0.257189 | + | 1.12682i | ||||
\(58\) | −11.9030 | − | 2.50016i | −1.56294 | − | 0.328287i | ||||
\(59\) | −0.0541481 | − | 0.175544i | −0.00704949 | − | 0.0228539i | 0.951980 | − | 0.306161i | \(-0.0990446\pi\) |
−0.959029 | + | 0.283307i | \(0.908568\pi\) | |||||||
\(60\) | −1.07939 | + | 5.62249i | −0.139349 | + | 0.725861i | ||||
\(61\) | 6.56223 | − | 2.57549i | 0.840208 | − | 0.329757i | 0.0940839 | − | 0.995564i | \(-0.470008\pi\) |
0.746124 | + | 0.665807i | \(0.231913\pi\) | |||||||
\(62\) | 0.871197 | + | 0.572069i | 0.110642 | + | 0.0726528i | ||||
\(63\) | 0.478633 | + | 1.11775i | 0.0603021 | + | 0.140823i | ||||
\(64\) | −7.52966 | − | 2.70263i | −0.941207 | − | 0.337829i | ||||
\(65\) | −1.69407 | − | 1.57187i | −0.210124 | − | 0.194966i | ||||
\(66\) | 10.2294 | + | 2.96183i | 1.25915 | + | 0.364577i | ||||
\(67\) | −10.3484 | + | 5.97464i | −1.26426 | + | 0.729919i | −0.973895 | − | 0.226998i | \(-0.927109\pi\) |
−0.290361 | + | 0.956917i | \(0.593776\pi\) | |||||||
\(68\) | −5.17334 | + | 5.14578i | −0.627359 | + | 0.624018i | ||||
\(69\) | −9.51684 | − | 7.58943i | −1.14569 | − | 0.913660i | ||||
\(70\) | 4.04730 | + | 5.36447i | 0.483745 | + | 0.641177i | ||||
\(71\) | 8.89597 | + | 11.1552i | 1.05576 | + | 1.32388i | 0.943929 | + | 0.330150i | \(0.107099\pi\) |
0.111828 | + | 0.993728i | \(0.464329\pi\) | |||||||
\(72\) | 1.26038 | + | 0.317945i | 0.148538 | + | 0.0374701i | ||||
\(73\) | 3.14522 | + | 2.14437i | 0.368120 | + | 0.250980i | 0.733225 | − | 0.679986i | \(-0.238014\pi\) |
−0.365105 | + | 0.930967i | \(0.618967\pi\) | |||||||
\(74\) | 6.66639 | − | 7.43968i | 0.774952 | − | 0.864845i | ||||
\(75\) | 0.421519 | + | 2.79659i | 0.0486728 | + | 0.322923i | ||||
\(76\) | 10.0476 | − | 4.35182i | 1.15254 | − | 0.499188i | ||||
\(77\) | 10.6292 | − | 6.57819i | 1.21130 | − | 0.749654i | ||||
\(78\) | 2.09158 | − | 2.00941i | 0.236825 | − | 0.227521i | ||||
\(79\) | −0.347223 | + | 0.601408i | −0.0390657 | + | 0.0676637i | −0.884897 | − | 0.465786i | \(-0.845771\pi\) |
0.845831 | + | 0.533450i | \(0.179105\pi\) | |||||||
\(80\) | 7.18387 | + | 0.0383632i | 0.803181 | + | 0.00428914i | ||||
\(81\) | 7.32731 | + | 1.10441i | 0.814146 | + | 0.122713i | ||||
\(82\) | 4.50278 | + | 5.44944i | 0.497249 | + | 0.601790i | ||||
\(83\) | 5.85761 | + | 12.1635i | 0.642956 | + | 1.33511i | 0.926551 | + | 0.376168i | \(0.122759\pi\) |
−0.283595 | + | 0.958944i | \(0.591527\pi\) | |||||||
\(84\) | −7.01321 | + | 4.68475i | −0.765204 | + | 0.511148i | ||||
\(85\) | 2.84300 | − | 5.90355i | 0.308367 | − | 0.640330i | ||||
\(86\) | 0.235335 | − | 0.0580306i | 0.0253768 | − | 0.00625760i | ||||
\(87\) | 1.02439 | + | 13.6696i | 0.109826 | + | 1.46553i | ||||
\(88\) | 1.30091 | − | 13.2997i | 0.138677 | − | 1.41775i | ||||
\(89\) | 0.439562 | − | 5.86555i | 0.0465935 | − | 0.621747i | −0.924212 | − | 0.381879i | \(-0.875277\pi\) |
0.970806 | − | 0.239867i | \(-0.0771040\pi\) | |||||||
\(90\) | −1.16232 | + | 0.107430i | −0.122520 | + | 0.0113241i | ||||
\(91\) | −0.104120 | − | 3.40282i | −0.0109148 | − | 0.356712i | ||||
\(92\) | −7.17315 | + | 13.4850i | −0.747852 | + | 1.40591i | ||||
\(93\) | 0.346229 | − | 1.12245i | 0.0359023 | − | 0.116392i | ||||
\(94\) | 6.68991 | − | 12.0664i | 0.690011 | − | 1.24455i | ||||
\(95\) | −7.20784 | + | 6.68790i | −0.739509 | + | 0.686164i | ||||
\(96\) | −0.565627 | + | 8.99854i | −0.0577291 | + | 0.918410i | ||||
\(97\) | 14.1075 | 1.43240 | 0.716200 | − | 0.697895i | \(-0.245880\pi\) | ||||
0.716200 | + | 0.697895i | \(0.245880\pi\) | |||||||
\(98\) | −1.43880 | + | 9.79438i | −0.145340 | + | 0.989382i | ||||
\(99\) | 2.17129i | 0.218223i | ||||||||
\(100\) | 3.35279 | − | 1.16315i | 0.335279 | − | 0.116315i | ||||
\(101\) | 5.65948 | + | 6.09947i | 0.563139 | + | 0.606920i | 0.948861 | − | 0.315695i | \(-0.102238\pi\) |
−0.385721 | + | 0.922615i | \(0.626047\pi\) | |||||||
\(102\) | 7.19226 | + | 3.98757i | 0.712140 | + | 0.394828i | ||||
\(103\) | −3.45678 | − | 1.06628i | −0.340607 | − | 0.105063i | 0.119733 | − | 0.992806i | \(-0.461796\pi\) |
−0.460340 | + | 0.887743i | \(0.652272\pi\) | |||||||
\(104\) | −2.95975 | − | 2.11793i | −0.290227 | − | 0.207680i | ||||
\(105\) | 4.53880 | − | 6.06299i | 0.442942 | − | 0.591687i | ||||
\(106\) | −1.76516 | + | 0.163147i | −0.171447 | + | 0.0158463i | ||||
\(107\) | 16.9460 | + | 1.26993i | 1.63824 | + | 0.122769i | 0.861739 | − | 0.507352i | \(-0.169376\pi\) |
0.776497 | + | 0.630121i | \(0.216995\pi\) | |||||||
\(108\) | −0.382932 | − | 11.0216i | −0.0368476 | − | 1.06055i | ||||
\(109\) | 5.34912 | − | 0.400861i | 0.512353 | − | 0.0383955i | 0.183954 | − | 0.982935i | \(-0.441110\pi\) |
0.328399 | + | 0.944539i | \(0.393491\pi\) | |||||||
\(110\) | 2.87300 | + | 11.6510i | 0.273930 | + | 1.11088i | ||||
\(111\) | −10.1436 | − | 4.88488i | −0.962785 | − | 0.463653i | ||||
\(112\) | 7.39183 | + | 7.57369i | 0.698463 | + | 0.715647i | ||||
\(113\) | 0.136045 | − | 0.0655158i | 0.0127980 | − | 0.00616320i | −0.427474 | − | 0.904028i | \(-0.640596\pi\) |
0.440272 | + | 0.897865i | \(0.354882\pi\) | |||||||
\(114\) | −7.86057 | − | 9.51317i | −0.736210 | − | 0.890990i | ||||
\(115\) | 2.04428 | − | 13.5629i | 0.190630 | − | 1.26475i | ||||
\(116\) | 16.6265 | − | 4.40750i | 1.54373 | − | 0.409226i | ||||
\(117\) | 0.512127 | + | 0.295677i | 0.0473462 | + | 0.0273353i | ||||
\(118\) | 0.179988 | + | 0.187349i | 0.0165693 | + | 0.0172469i | ||||
\(119\) | 9.13251 | − | 3.12595i | 0.837176 | − | 0.286555i | ||||
\(120\) | −2.21025 | − | 7.78908i | −0.201767 | − | 0.711043i | ||||
\(121\) | 11.1952 | − | 1.68741i | 1.01775 | − | 0.153400i | ||||
\(122\) | −6.65310 | + | 7.42485i | −0.602343 | + | 0.672214i | ||||
\(123\) | 4.48802 | − | 6.58271i | 0.404671 | − | 0.593543i | ||||
\(124\) | −1.46422 | − | 0.168939i | −0.131491 | − | 0.0151712i | ||||
\(125\) | −9.51238 | + | 7.58587i | −0.850813 | + | 0.678501i | ||||
\(126\) | −1.31515 | − | 1.10783i | −0.117163 | − | 0.0986935i | ||||
\(127\) | 7.58090 | − | 9.50614i | 0.672696 | − | 0.843534i | −0.321963 | − | 0.946752i | \(-0.604343\pi\) |
0.994659 | + | 0.103218i | \(0.0329141\pi\) | |||||||
\(128\) | 11.2302 | − | 1.37185i | 0.992621 | − | 0.121255i | ||||
\(129\) | −0.136588 | − | 0.236577i | −0.0120259 | − | 0.0208295i | ||||
\(130\) | 3.13928 | + | 0.908953i | 0.275334 | + | 0.0797205i | ||||
\(131\) | −13.9506 | + | 15.0352i | −1.21887 | + | 1.31363i | −0.283925 | + | 0.958847i | \(0.591637\pi\) |
−0.934948 | + | 0.354786i | \(0.884554\pi\) | |||||||
\(132\) | −14.8056 | + | 2.76045i | −1.28866 | + | 0.240266i | ||||
\(133\) | −14.4707 | − | 0.640183i | −1.25477 | − | 0.0555109i | ||||
\(134\) | 9.27558 | − | 14.1257i | 0.801288 | − | 1.22027i | ||||
\(135\) | 3.61809 | + | 9.21873i | 0.311395 | + | 0.793422i | ||||
\(136\) | 3.26471 | − | 9.78911i | 0.279947 | − | 0.839409i | ||||
\(137\) | −2.48412 | + | 0.766250i | −0.212233 | + | 0.0654651i | −0.399048 | − | 0.916930i | \(-0.630659\pi\) |
0.186816 | + | 0.982395i | \(0.440183\pi\) | |||||||
\(138\) | 16.8469 | + | 3.53859i | 1.43410 | + | 0.301225i | ||||
\(139\) | −13.2218 | + | 3.01779i | −1.12146 | + | 0.255965i | −0.742761 | − | 0.669556i | \(-0.766484\pi\) |
−0.378695 | + | 0.925521i | \(0.623627\pi\) | |||||||
\(140\) | −8.52288 | − | 4.20441i | −0.720315 | − | 0.355337i | ||||
\(141\) | −15.1597 | − | 3.46010i | −1.27668 | − | 0.291393i | ||||
\(142\) | −18.3291 | − | 8.43792i | −1.53814 | − | 0.708095i | ||||
\(143\) | 2.22103 | − | 5.65909i | 0.185732 | − | 0.473237i | ||||
\(144\) | −1.79436 | + | 0.399482i | −0.149530 | + | 0.0332902i | ||||
\(145\) | −12.7623 | + | 8.70116i | −1.05985 | + | 0.722592i | ||||
\(146\) | −5.33645 | − | 0.709806i | −0.441648 | − | 0.0587439i | ||||
\(147\) | 11.0541 | − | 1.51244i | 0.911728 | − | 0.124744i | ||||
\(148\) | −3.69282 | + | 13.6361i | −0.303548 | + | 1.12088i | ||||
\(149\) | −5.73660 | − | 8.41404i | −0.469960 | − | 0.689305i | 0.515943 | − | 0.856623i | \(-0.327442\pi\) |
−0.985903 | + | 0.167318i | \(0.946489\pi\) | |||||||
\(150\) | −2.31013 | − | 3.26505i | −0.188621 | − | 0.266590i | ||||
\(151\) | −1.52307 | + | 3.88071i | −0.123945 | + | 0.315808i | −0.979356 | − | 0.202143i | \(-0.935210\pi\) |
0.855411 | + | 0.517950i | \(0.173305\pi\) | |||||||
\(152\) | −9.92710 | + | 11.8843i | −0.805194 | + | 0.963947i | ||||
\(153\) | −0.373099 | + | 1.63466i | −0.0301633 | + | 0.132154i | ||||
\(154\) | −9.24664 | + | 15.0666i | −0.745116 | + | 1.21410i | ||||
\(155\) | 1.29041 | − | 0.294527i | 0.103648 | − | 0.0236570i | ||||
\(156\) | −1.36508 | + | 3.86800i | −0.109294 | + | 0.309688i | ||||
\(157\) | −0.368243 | − | 1.19382i | −0.0293890 | − | 0.0952768i | 0.939690 | − | 0.342027i | \(-0.111113\pi\) |
−0.969079 | + | 0.246750i | \(0.920637\pi\) | |||||||
\(158\) | 0.0563756 | − | 0.980476i | 0.00448500 | − | 0.0780025i | ||||
\(159\) | 0.729906 | + | 1.85977i | 0.0578853 | + | 0.147489i | ||||
\(160\) | −9.09988 | + | 4.51786i | −0.719409 | + | 0.357168i | ||||
\(161\) | 16.3389 | − | 11.8876i | 1.28768 | − | 0.936873i | ||||
\(162\) | −9.95871 | + | 3.26228i | −0.782430 | + | 0.256309i | ||||
\(163\) | −8.82868 | + | 9.51506i | −0.691516 | + | 0.745277i | −0.977031 | − | 0.213097i | \(-0.931645\pi\) |
0.285515 | + | 0.958374i | \(0.407835\pi\) | |||||||
\(164\) | −9.15230 | − | 4.02223i | −0.714675 | − | 0.314083i | ||||
\(165\) | 11.7126 | − | 6.76225i | 0.911821 | − | 0.526440i | ||||
\(166\) | −15.1315 | − | 11.6430i | −1.17444 | − | 0.903670i | ||||
\(167\) | 11.4133 | − | 14.3119i | 0.883191 | − | 1.10749i | −0.110337 | − | 0.993894i | \(-0.535193\pi\) |
0.993528 | − | 0.113592i | \(-0.0362356\pi\) | |||||||
\(168\) | 5.88210 | − | 10.3762i | 0.453814 | − | 0.800538i | ||||
\(169\) | 7.07305 | + | 8.86932i | 0.544081 | + | 0.682255i | ||||
\(170\) | 0.160905 | + | 9.26517i | 0.0123409 | + | 0.710606i | ||||
\(171\) | 1.41734 | − | 2.07886i | 0.108387 | − | 0.158975i | ||||
\(172\) | −0.260416 | + | 0.222898i | −0.0198565 | + | 0.0169958i | ||||
\(173\) | −3.33164 | − | 22.1040i | −0.253300 | − | 1.68054i | −0.647932 | − | 0.761698i | \(-0.724366\pi\) |
0.394632 | − | 0.918839i | \(-0.370872\pi\) | |||||||
\(174\) | −9.98300 | − | 16.6178i | −0.756809 | − | 1.25979i | ||||
\(175\) | −4.66144 | − | 0.557396i | −0.352372 | − | 0.0421352i | ||||
\(176\) | 6.81029 | + | 17.6286i | 0.513345 | + | 1.32880i | ||||
\(177\) | 0.146401 | − | 0.253575i | 0.0110042 | − | 0.0190598i | ||||
\(178\) | 3.17305 | + | 7.68944i | 0.237830 | + | 0.576348i | ||||
\(179\) | −0.565149 | + | 3.74952i | −0.0422412 | + | 0.280252i | −0.999973 | − | 0.00741200i | \(-0.997641\pi\) |
0.957731 | + | 0.287664i | \(0.0928788\pi\) | |||||||
\(180\) | 1.40009 | − | 0.874532i | 0.104357 | − | 0.0651838i | ||||
\(181\) | 2.17360 | + | 4.51353i | 0.161563 | + | 0.335488i | 0.965997 | − | 0.258553i | \(-0.0832458\pi\) |
−0.804434 | + | 0.594041i | \(0.797532\pi\) | |||||||
\(182\) | 2.29449 | + | 4.23265i | 0.170079 | + | 0.313745i | ||||
\(183\) | 10.1233 | + | 4.87515i | 0.748339 | + | 0.360381i | ||||
\(184\) | 0.490407 | − | 21.5953i | 0.0361533 | − | 1.59203i | ||||
\(185\) | −0.948042 | − | 12.6507i | −0.0697014 | − | 0.930101i | ||||
\(186\) | 0.276072 | + | 1.63808i | 0.0202426 | + | 0.120110i | ||||
\(187\) | 17.1888 | + | 1.28812i | 1.25697 | + | 0.0941970i | ||||
\(188\) | −0.781623 | + | 19.4960i | −0.0570057 | + | 1.42189i | ||||
\(189\) | −5.92496 | + | 13.3317i | −0.430977 | + | 0.969736i | ||||
\(190\) | 4.85471 | − | 13.0305i | 0.352197 | − | 0.945331i | ||||
\(191\) | −9.41485 | − | 2.90410i | −0.681234 | − | 0.210133i | −0.0652235 | − | 0.997871i | \(-0.520776\pi\) |
−0.616011 | + | 0.787738i | \(0.711252\pi\) | |||||||
\(192\) | −5.00523 | − | 11.7275i | −0.361222 | − | 0.846362i | ||||
\(193\) | 0.106231 | − | 0.0985677i | 0.00764665 | − | 0.00709506i | −0.676340 | − | 0.736589i | \(-0.736435\pi\) |
0.683987 | + | 0.729494i | \(0.260245\pi\) | |||||||
\(194\) | −17.8222 | + | 8.96724i | −1.27956 | + | 0.643810i | ||||
\(195\) | − | 3.68341i | − | 0.263775i | ||||||
\(196\) | −4.40801 | − | 13.2879i | −0.314858 | − | 0.949139i | ||||
\(197\) | 4.71073i | 0.335626i | 0.985819 | + | 0.167813i | \(0.0536705\pi\) | ||||
−0.985819 | + | 0.167813i | \(0.946330\pi\) | |||||||
\(198\) | −1.38015 | − | 2.74302i | −0.0980830 | − | 0.194938i | ||||
\(199\) | 4.52487 | − | 4.19846i | 0.320759 | − | 0.297621i | −0.503315 | − | 0.864103i | \(-0.667886\pi\) |
0.824074 | + | 0.566482i | \(0.191696\pi\) | |||||||
\(200\) | −3.49629 | + | 3.60059i | −0.247225 | + | 0.254600i | ||||
\(201\) | −18.1995 | − | 5.61380i | −1.28369 | − | 0.395967i | ||||
\(202\) | −11.0268 | − | 4.10818i | −0.775840 | − | 0.289051i | ||||
\(203\) | −22.3284 | − | 4.38250i | −1.56715 | − | 0.307591i | ||||
\(204\) | −11.6207 | − | 0.465892i | −0.813615 | − | 0.0326190i | ||||
\(205\) | 8.95230 | + | 0.670882i | 0.625256 | + | 0.0468564i | ||||
\(206\) | 5.04477 | − | 0.850213i | 0.351486 | − | 0.0592372i | ||||
\(207\) | 0.262287 | + | 3.49997i | 0.0182302 | + | 0.243265i | ||||
\(208\) | 5.08532 | + | 0.794285i | 0.352604 | + | 0.0550738i | ||||
\(209\) | −23.3044 | − | 11.2228i | −1.61200 | − | 0.776299i | ||||
\(210\) | −1.88008 | + | 10.5445i | −0.129738 | + | 0.727640i | ||||
\(211\) | 3.58316 | + | 7.44050i | 0.246675 | + | 0.512225i | 0.987138 | − | 0.159872i | \(-0.0511081\pi\) |
−0.740463 | + | 0.672097i | \(0.765394\pi\) | |||||||
\(212\) | 2.12625 | − | 1.32810i | 0.146031 | − | 0.0912145i | ||||
\(213\) | −3.38943 | + | 22.4874i | −0.232240 | + | 1.54081i | ||||
\(214\) | −22.2154 | + | 9.16720i | −1.51861 | + | 0.626657i | ||||
\(215\) | 0.153909 | − | 0.266578i | 0.0104965 | − | 0.0181805i | ||||
\(216\) | 7.48948 | + | 13.6803i | 0.509595 | + | 0.930829i | ||||
\(217\) | 1.64387 | + | 1.04860i | 0.111593 | + | 0.0711834i | ||||
\(218\) | −6.50283 | + | 3.90651i | −0.440427 | + | 0.264582i | ||||
\(219\) | 0.904291 | + | 5.99958i | 0.0611063 | + | 0.405414i | ||||
\(220\) | −11.0353 | − | 12.8928i | −0.744002 | − | 0.869230i | ||||
\(221\) | 2.64452 | − | 3.87880i | 0.177890 | − | 0.260916i | ||||
\(222\) | 15.9195 | − | 0.276469i | 1.06845 | − | 0.0185554i | ||||
\(223\) | −11.3319 | − | 14.2097i | −0.758838 | − | 0.951553i | 0.240982 | − | 0.970530i | \(-0.422530\pi\) |
−0.999820 | + | 0.0189770i | \(0.993959\pi\) | |||||||
\(224\) | −14.1523 | − | 4.86945i | −0.945592 | − | 0.325354i | ||||
\(225\) | 0.508438 | − | 0.637561i | 0.0338959 | − | 0.0425041i | ||||
\(226\) | −0.130223 | + | 0.169242i | −0.00866233 | + | 0.0112578i | ||||
\(227\) | 10.0579 | − | 5.80694i | 0.667567 | − | 0.385420i | −0.127587 | − | 0.991827i | \(-0.540723\pi\) |
0.795154 | + | 0.606407i | \(0.207390\pi\) | |||||||
\(228\) | 15.9773 | + | 7.02167i | 1.05812 | + | 0.465021i | ||||
\(229\) | −3.23859 | + | 3.49037i | −0.214012 | + | 0.230650i | −0.830929 | − | 0.556378i | \(-0.812191\pi\) |
0.616918 | + | 0.787028i | \(0.288381\pi\) | |||||||
\(230\) | 6.03851 | + | 18.4337i | 0.398167 | + | 1.21548i | ||||
\(231\) | 19.2091 | + | 5.28754i | 1.26386 | + | 0.347894i | ||||
\(232\) | −18.2029 | + | 16.1365i | −1.19508 | + | 1.05941i | ||||
\(233\) | 8.83993 | + | 22.5238i | 0.579123 | + | 1.47558i | 0.857180 | + | 0.515017i | \(0.172214\pi\) |
−0.278057 | + | 0.960565i | \(0.589690\pi\) | |||||||
\(234\) | −0.834921 | − | 0.0480064i | −0.0545805 | − | 0.00313828i | ||||
\(235\) | −5.16453 | − | 16.7430i | −0.336897 | − | 1.09219i | ||||
\(236\) | −0.346468 | − | 0.122274i | −0.0225531 | − | 0.00795934i | ||||
\(237\) | −1.07911 | + | 0.246299i | −0.0700956 | + | 0.0159989i | ||||
\(238\) | −9.55028 | + | 9.75402i | −0.619053 | + | 0.632259i | ||||
\(239\) | 4.58150 | − | 20.0729i | 0.296352 | − | 1.29841i | −0.579162 | − | 0.815213i | \(-0.696620\pi\) |
0.875514 | − | 0.483192i | \(-0.160523\pi\) | |||||||
\(240\) | 7.74327 | + | 8.43515i | 0.499826 | + | 0.544487i | ||||
\(241\) | −5.28494 | + | 13.4658i | −0.340433 | + | 0.867409i | 0.653450 | + | 0.756970i | \(0.273321\pi\) |
−0.993883 | + | 0.110439i | \(0.964774\pi\) | |||||||
\(242\) | −13.0705 | + | 9.24780i | −0.840203 | + | 0.594471i | ||||
\(243\) | −2.66543 | − | 3.90946i | −0.170987 | − | 0.250792i | ||||
\(244\) | 3.68546 | − | 13.6089i | 0.235937 | − | 0.871219i | ||||
\(245\) | 7.70386 | + | 9.93501i | 0.492182 | + | 0.634724i | ||||
\(246\) | −1.48557 | + | 11.1688i | −0.0947166 | + | 0.712096i | ||||
\(247\) | −5.82055 | + | 3.96838i | −0.370353 | + | 0.252502i | ||||
\(248\) | 1.95716 | − | 0.717291i | 0.124280 | − | 0.0455480i | ||||
\(249\) | −7.86138 | + | 20.0305i | −0.498195 | + | 1.26938i | ||||
\(250\) | 7.19528 | − | 15.6298i | 0.455070 | − | 0.988513i | ||||
\(251\) | −14.9926 | − | 3.42195i | −0.946322 | − | 0.215992i | −0.278604 | − | 0.960406i | \(-0.589872\pi\) |
−0.667718 | + | 0.744414i | \(0.732729\pi\) | |||||||
\(252\) | 2.36562 | + | 0.563587i | 0.149020 | + | 0.0355027i | ||||
\(253\) | 35.1773 | − | 8.02898i | 2.21158 | − | 0.504778i | ||||
\(254\) | −3.53461 | + | 16.8280i | −0.221781 | + | 1.05588i | ||||
\(255\) | 9.97978 | − | 3.07835i | 0.624958 | − | 0.192774i | ||||
\(256\) | −13.3153 | + | 8.87142i | −0.832208 | + | 0.554464i | ||||
\(257\) | −5.74227 | − | 14.6311i | −0.358193 | − | 0.912661i | −0.990446 | − | 0.137899i | \(-0.955965\pi\) |
0.632253 | − | 0.774762i | \(-0.282130\pi\) | |||||||
\(258\) | 0.322931 | + | 0.212051i | 0.0201048 | + | 0.0132017i | ||||
\(259\) | 12.2865 | − | 14.0821i | 0.763448 | − | 0.875017i | ||||
\(260\) | −4.54367 | + | 0.847149i | −0.281787 | + | 0.0525380i | ||||
\(261\) | 2.68838 | − | 2.89739i | 0.166407 | − | 0.179344i | ||||
\(262\) | 8.06713 | − | 27.8617i | 0.498389 | − | 1.72130i | ||||
\(263\) | −6.77977 | − | 11.7429i | −0.418059 | − | 0.724099i | 0.577685 | − | 0.816259i | \(-0.303956\pi\) |
−0.995744 | + | 0.0921605i | \(0.970623\pi\) | |||||||
\(264\) | 16.9495 | − | 12.8983i | 1.04317 | − | 0.793835i | ||||
\(265\) | −1.40362 | + | 1.76008i | −0.0862236 | + | 0.108121i | ||||
\(266\) | 18.6880 | − | 8.38937i | 1.14584 | − | 0.514385i | ||||
\(267\) | 7.32978 | − | 5.84531i | 0.448575 | − | 0.357727i | ||||
\(268\) | −2.73919 | + | 23.7411i | −0.167323 | + | 1.45022i | ||||
\(269\) | 0.673944 | − | 0.988494i | 0.0410911 | − | 0.0602695i | −0.805144 | − | 0.593080i | \(-0.797912\pi\) |
0.846235 | + | 0.532810i | \(0.178864\pi\) | |||||||
\(270\) | −10.4305 | − | 9.34638i | −0.634783 | − | 0.568803i | ||||
\(271\) | 12.5924 | − | 1.89801i | 0.764936 | − | 0.115296i | 0.245026 | − | 0.969516i | \(-0.421203\pi\) |
0.519910 | + | 0.854221i | \(0.325965\pi\) | |||||||
\(272\) | 2.09796 | + | 14.4419i | 0.127207 | + | 0.875669i | ||||
\(273\) | 3.86294 | − | 3.81067i | 0.233796 | − | 0.230632i | ||||
\(274\) | 2.65117 | − | 2.54701i | 0.160163 | − | 0.153871i | ||||
\(275\) | −7.26019 | − | 4.19167i | −0.437806 | − | 0.252767i | ||||
\(276\) | −23.5322 | + | 6.23814i | −1.41647 | + | 0.375492i | ||||
\(277\) | −3.17141 | + | 21.0409i | −0.190552 | + | 1.26423i | 0.665131 | + | 0.746726i | \(0.268376\pi\) |
−0.855683 | + | 0.517501i | \(0.826863\pi\) | |||||||
\(278\) | 14.7851 | − | 12.2167i | 0.886749 | − | 0.732707i | ||||
\(279\) | −0.305150 | + | 0.146953i | −0.0182689 | + | 0.00879782i | ||||
\(280\) | 13.4396 | − | 0.105956i | 0.803167 | − | 0.00633206i | ||||
\(281\) | −4.99644 | − | 2.40616i | −0.298063 | − | 0.143540i | 0.278875 | − | 0.960327i | \(-0.410038\pi\) |
−0.576938 | + | 0.816788i | \(0.695753\pi\) | |||||||
\(282\) | 21.3508 | − | 5.26485i | 1.27142 | − | 0.313517i | ||||
\(283\) | −17.5354 | + | 1.31410i | −1.04237 | + | 0.0781149i | −0.584896 | − | 0.811108i | \(-0.698865\pi\) |
−0.457474 | + | 0.889223i | \(0.651246\pi\) | |||||||
\(284\) | 28.5188 | − | 0.990853i | 1.69228 | − | 0.0587963i | ||||
\(285\) | −15.6282 | − | 1.17117i | −0.925732 | − | 0.0693740i | ||||
\(286\) | 0.791263 | + | 8.56098i | 0.0467883 | + | 0.506222i | ||||
\(287\) | 8.55801 | + | 10.0827i | 0.505164 | + | 0.595162i | ||||
\(288\) | 2.01292 | − | 1.64523i | 0.118612 | − | 0.0969463i | ||||
\(289\) | −3.52547 | − | 1.08746i | −0.207380 | − | 0.0639684i | ||||
\(290\) | 10.5920 | − | 19.1045i | 0.621983 | − | 1.12185i | ||||
\(291\) | 15.2941 | + | 16.4831i | 0.896554 | + | 0.966255i | ||||
\(292\) | 7.19280 | − | 2.49533i | 0.420927 | − | 0.146028i | ||||
\(293\) | − | 3.23255i | − | 0.188847i | −0.995532 | − | 0.0944237i | \(-0.969899\pi\) | ||
0.995532 | − | 0.0944237i | \(-0.0301008\pi\) | |||||||
\(294\) | −13.0035 | + | 8.93709i | −0.758378 | + | 0.521222i | ||||
\(295\) | 0.329934 | 0.0192095 | ||||||||
\(296\) | −4.00238 | − | 19.5739i | −0.232633 | − | 1.13771i | ||||
\(297\) | −19.0974 | + | 17.7198i | −1.10814 | + | 1.02821i | ||||
\(298\) | 12.5954 | + | 6.98320i | 0.729632 | + | 0.404526i | ||||
\(299\) | 2.89655 | − | 9.39037i | 0.167512 | − | 0.543059i | ||||
\(300\) | 4.99381 | + | 2.65639i | 0.288317 | + | 0.153366i | ||||
\(301\) | 0.438797 | − | 0.114378i | 0.0252918 | − | 0.00659262i | ||||
\(302\) | −0.542607 | − | 5.87068i | −0.0312235 | − | 0.337820i | ||||
\(303\) | −0.991074 | + | 13.2250i | −0.0569357 | + | 0.759755i | ||||
\(304\) | 4.98695 | − | 21.3237i | 0.286021 | − | 1.22300i | ||||
\(305\) | 0.946152 | + | 12.6255i | 0.0541765 | + | 0.722935i | ||||
\(306\) | −0.567704 | − | 2.30224i | −0.0324535 | − | 0.131610i | ||||
\(307\) | 13.2248 | − | 27.4615i | 0.754777 | − | 1.56731i | −0.0671668 | − | 0.997742i | \(-0.521396\pi\) |
0.821944 | − | 0.569569i | \(-0.192890\pi\) | |||||||
\(308\) | 2.10454 | − | 24.9114i | 0.119917 | − | 1.41946i | ||||
\(309\) | −2.50170 | − | 5.19483i | −0.142317 | − | 0.295524i | ||||
\(310\) | −1.44298 | + | 1.19231i | −0.0819556 | + | 0.0677186i | ||||
\(311\) | 4.24097 | + | 0.639223i | 0.240483 | + | 0.0362470i | 0.268178 | − | 0.963369i | \(-0.413578\pi\) |
−0.0276946 | + | 0.999616i | \(0.508817\pi\) | |||||||
\(312\) | −0.734122 | − | 5.75420i | −0.0415614 | − | 0.325767i | ||||
\(313\) | 10.8903 | − | 18.8625i | 0.615556 | − | 1.06617i | −0.374731 | − | 0.927134i | \(-0.622265\pi\) |
0.990287 | − | 0.139041i | \(-0.0444019\pi\) | |||||||
\(314\) | 1.22404 | + | 1.27410i | 0.0690766 | + | 0.0719014i | ||||
\(315\) | −2.17166 | + | 0.229719i | −0.122359 | + | 0.0129432i | ||||
\(316\) | 0.552006 | + | 1.27449i | 0.0310528 | + | 0.0716954i | ||||
\(317\) | −0.828649 | − | 5.49772i | −0.0465415 | − | 0.308783i | −0.999974 | − | 0.00717713i | \(-0.997715\pi\) |
0.953433 | − | 0.301606i | \(-0.0975227\pi\) | |||||||
\(318\) | −2.10424 | − | 1.88552i | −0.118000 | − | 0.105735i | ||||
\(319\) | −33.5727 | − | 22.8895i | −1.87971 | − | 1.28156i | ||||
\(320\) | 8.62430 | − | 11.4917i | 0.482113 | − | 0.642406i | ||||
\(321\) | 16.8876 | + | 21.1763i | 0.942572 | + | 1.18195i | ||||
\(322\) | −13.0850 | + | 25.4033i | −0.729196 | + | 1.41567i | ||||
\(323\) | −15.6163 | − | 12.4536i | −0.868914 | − | 0.692936i | ||||
\(324\) | 10.5074 | − | 10.4514i | 0.583743 | − | 0.580634i | ||||
\(325\) | −1.97732 | + | 1.14161i | −0.109682 | + | 0.0633250i | ||||
\(326\) | 5.10530 | − | 17.6324i | 0.282756 | − | 0.976566i | ||||
\(327\) | 6.26739 | + | 5.81529i | 0.346587 | + | 0.321586i | ||||
\(328\) | 14.1189 | − | 0.736188i | 0.779587 | − | 0.0406492i | ||||
\(329\) | 12.2161 | − | 22.7377i | 0.673493 | − | 1.25357i | ||||
\(330\) | −10.4983 | + | 15.9878i | −0.577914 | + | 0.880098i | ||||
\(331\) | 9.19726 | − | 3.60966i | 0.505527 | − | 0.198405i | −0.0988511 | − | 0.995102i | \(-0.531517\pi\) |
0.604378 | + | 0.796697i | \(0.293422\pi\) | |||||||
\(332\) | 26.5166 | + | 5.09059i | 1.45529 | + | 0.279382i | ||||
\(333\) | 0.956849 | + | 3.10203i | 0.0524350 | + | 0.169990i | ||||
\(334\) | −5.32150 | + | 25.3351i | −0.291180 | + | 1.38628i | ||||
\(335\) | −4.77548 | − | 20.9228i | −0.260913 | − | 1.14313i | ||||
\(336\) | −0.835485 | + | 16.8472i | −0.0455795 | + | 0.919093i | ||||
\(337\) | −5.25632 | + | 23.0295i | −0.286330 | + | 1.25449i | 0.603190 | + | 0.797598i | \(0.293896\pi\) |
−0.889520 | + | 0.456897i | \(0.848961\pi\) | |||||||
\(338\) | −14.5732 | − | 6.70887i | −0.792675 | − | 0.364914i | ||||
\(339\) | 0.224035 | + | 0.0879274i | 0.0121679 | + | 0.00477556i | ||||
\(340\) | −6.09255 | − | 11.6026i | −0.330415 | − | 0.629237i | ||||
\(341\) | 1.96141 | + | 2.87686i | 0.106216 | + | 0.155790i | ||||
\(342\) | −0.469153 | + | 3.52718i | −0.0253689 | + | 0.190728i | ||||
\(343\) | −2.44921 | + | 18.3576i | −0.132245 | + | 0.991217i | ||||
\(344\) | 0.187305 | − | 0.447120i | 0.0100988 | − | 0.0241071i | ||||
\(345\) | 18.0630 | − | 12.3151i | 0.972479 | − | 0.663025i | ||||
\(346\) | 18.2590 | + | 25.8066i | 0.981612 | + | 1.38737i | ||||
\(347\) | 13.5950 | + | 5.33566i | 0.729820 | + | 0.286433i | 0.701010 | − | 0.713152i | \(-0.252733\pi\) |
0.0288100 | + | 0.999585i | \(0.490828\pi\) | |||||||
\(348\) | 23.1746 | + | 14.6480i | 1.24229 | + | 0.785215i | ||||
\(349\) | 2.20321 | + | 0.502869i | 0.117935 | + | 0.0269179i | 0.281081 | − | 0.959684i | \(-0.409307\pi\) |
−0.163146 | + | 0.986602i | \(0.552164\pi\) | |||||||
\(350\) | 6.24317 | − | 2.25881i | 0.333712 | − | 0.120739i | ||||
\(351\) | 1.57884 | + | 6.91737i | 0.0842725 | + | 0.369222i | ||||
\(352\) | −19.8089 | − | 17.9416i | −1.05582 | − | 0.956289i | ||||
\(353\) | −12.6017 | + | 3.88711i | −0.670722 | + | 0.206890i | −0.611368 | − | 0.791347i | \(-0.709380\pi\) |
−0.0593540 | + | 0.998237i | \(0.518904\pi\) | |||||||
\(354\) | −0.0237699 | + | 0.413403i | −0.00126336 | + | 0.0219721i | ||||
\(355\) | −23.8539 | + | 9.36196i | −1.26603 | + | 0.496881i | ||||
\(356\) | −8.89625 | − | 7.69728i | −0.471500 | − | 0.407955i | ||||
\(357\) | 13.5530 | + | 7.28148i | 0.717299 | + | 0.385377i | ||||
\(358\) | −1.66937 | − | 5.09606i | −0.0882289 | − | 0.269335i | ||||
\(359\) | 16.4052 | + | 15.2218i | 0.865834 | + | 0.803377i | 0.981808 | − | 0.189875i | \(-0.0608084\pi\) |
−0.115974 | + | 0.993252i | \(0.536999\pi\) | |||||||
\(360\) | −1.21288 | + | 1.99476i | −0.0639242 | + | 0.105133i | ||||
\(361\) | 5.48655 | + | 9.50298i | 0.288766 | + | 0.500157i | ||||
\(362\) | −5.61491 | − | 4.32039i | −0.295113 | − | 0.227075i | ||||
\(363\) | 14.1084 | + | 11.2510i | 0.740497 | + | 0.590526i | ||||
\(364\) | −5.58909 | − | 3.88871i | −0.292948 | − | 0.203824i | ||||
\(365\) | −5.34519 | + | 4.26265i | −0.279780 | + | 0.223117i | ||||
\(366\) | −15.8878 | + | 0.275918i | −0.830469 | + | 0.0144225i | ||||
\(367\) | 14.7949 | + | 10.0870i | 0.772288 | + | 0.526537i | 0.884159 | − | 0.467186i | \(-0.154732\pi\) |
−0.111871 | + | 0.993723i | \(0.535684\pi\) | |||||||
\(368\) | 13.1072 | + | 27.5934i | 0.683261 | + | 1.43841i | ||||
\(369\) | −2.27155 | + | 0.342381i | −0.118252 | + | 0.0178237i | ||||
\(370\) | 9.23895 | + | 15.3793i | 0.480310 | + | 0.799530i | ||||
\(371\) | −3.29798 | + | 0.348862i | −0.171223 | + | 0.0181120i | ||||
\(372\) | −1.38999 | − | 1.89393i | −0.0720677 | − | 0.0981959i | ||||
\(373\) | 0.355138 | + | 0.205039i | 0.0183884 | + | 0.0106165i | 0.509166 | − | 0.860668i | \(-0.329954\pi\) |
−0.490778 | + | 0.871285i | \(0.663287\pi\) | |||||||
\(374\) | −22.5337 | + | 9.29854i | −1.16519 | + | 0.480816i | ||||
\(375\) | −19.1757 | − | 2.89027i | −0.990229 | − | 0.149253i | ||||
\(376\) | −11.4049 | − | 25.1264i | −0.588165 | − | 1.29580i | ||||
\(377\) | −9.97056 | + | 4.80157i | −0.513510 | + | 0.247293i | ||||
\(378\) | −0.988998 | − | 20.6082i | −0.0508686 | − | 1.05997i | ||||
\(379\) | −7.45061 | + | 15.4714i | −0.382712 | + | 0.794710i | 0.617256 | + | 0.786762i | \(0.288244\pi\) |
−0.999968 | + | 0.00794794i | \(0.997470\pi\) | |||||||
\(380\) | 2.14963 | + | 19.5474i | 0.110274 | + | 1.00276i | ||||
\(381\) | 19.3254 | − | 1.44824i | 0.990070 | − | 0.0741955i | ||||
\(382\) | 13.7399 | − | 2.31563i | 0.702993 | − | 0.118478i | ||||
\(383\) | 0.169421 | − | 2.26077i | 0.00865701 | − | 0.115520i | −0.991201 | − | 0.132364i | \(-0.957743\pi\) |
0.999858 | + | 0.0168448i | \(0.00536211\pi\) | |||||||
\(384\) | 13.7776 | + | 11.6341i | 0.703087 | + | 0.593698i | ||||
\(385\) | 5.66266 | + | 21.7241i | 0.288596 | + | 1.10716i | ||||
\(386\) | −0.0715497 | + | 0.192046i | −0.00364178 | + | 0.00977489i | ||||
\(387\) | −0.0232169 | + | 0.0752674i | −0.00118018 | + | 0.00382606i | ||||
\(388\) | 16.8152 | − | 22.6569i | 0.853662 | − | 1.15023i | ||||
\(389\) | −13.5528 | − | 14.6064i | −0.687152 | − | 0.740574i | 0.289079 | − | 0.957305i | \(-0.406651\pi\) |
−0.976231 | + | 0.216731i | \(0.930460\pi\) | |||||||
\(390\) | 2.34131 | + | 4.65331i | 0.118557 | + | 0.235630i | ||||
\(391\) | 27.8628 | 1.40908 | ||||||||
\(392\) | 14.0150 | + | 13.9850i | 0.707865 | + | 0.706348i | ||||
\(393\) | −32.6910 | −1.64904 | ||||||||
\(394\) | −2.99431 | − | 5.95114i | −0.150851 | − | 0.299814i | ||||
\(395\) | −0.848326 | − | 0.914278i | −0.0426839 | − | 0.0460023i | ||||
\(396\) | 3.48713 | + | 2.58803i | 0.175235 | + | 0.130053i | ||||
\(397\) | −7.69881 | + | 24.9589i | −0.386392 | + | 1.25265i | 0.528492 | + | 0.848938i | \(0.322758\pi\) |
−0.914885 | + | 0.403715i | \(0.867719\pi\) | |||||||
\(398\) | −3.04764 | + | 8.18015i | −0.152764 | + | 0.410034i | ||||
\(399\) | −14.9398 | − | 17.6015i | −0.747928 | − | 0.881177i | ||||
\(400\) | 2.12826 | − | 6.77105i | 0.106413 | − | 0.338552i | ||||
\(401\) | −1.56320 | + | 20.8594i | −0.0780623 | + | 1.04167i | 0.811349 | + | 0.584562i | \(0.198734\pi\) |
−0.889411 | + | 0.457108i | \(0.848885\pi\) | |||||||
\(402\) | 26.5600 | − | 4.47626i | 1.32469 | − | 0.223255i | ||||
\(403\) | 0.945640 | − | 0.0708659i | 0.0471057 | − | 0.00353008i | ||||
\(404\) | 16.5416 | − | 1.81907i | 0.822975 | − | 0.0905023i | ||||
\(405\) | −5.77432 | + | 11.9905i | −0.286928 | + | 0.595812i | ||||
\(406\) | 30.9935 | − | 8.65628i | 1.53818 | − | 0.429604i | ||||
\(407\) | 30.0677 | − | 14.4799i | 1.49040 | − | 0.717740i | ||||
\(408\) | 14.9768 | − | 6.79800i | 0.741462 | − | 0.336551i | ||||
\(409\) | −34.7495 | − | 5.23764i | −1.71825 | − | 0.258985i | −0.785333 | − | 0.619074i | \(-0.787508\pi\) |
−0.932918 | + | 0.360089i | \(0.882746\pi\) | |||||||
\(410\) | −11.7360 | + | 4.84287i | −0.579601 | + | 0.239172i | ||||
\(411\) | −3.58833 | − | 2.07173i | −0.176999 | − | 0.102191i | ||||
\(412\) | −5.83271 | + | 4.28073i | −0.287357 | + | 0.210896i | ||||
\(413\) | 0.341333 | + | 0.346014i | 0.0167959 | + | 0.0170263i | ||||
\(414\) | −2.55606 | − | 4.25485i | −0.125624 | − | 0.209114i | ||||
\(415\) | −23.9758 | + | 3.61377i | −1.17693 | + | 0.177393i | ||||
\(416\) | −6.92925 | + | 2.22898i | −0.339734 | + | 0.109285i | ||||
\(417\) | −17.8598 | − | 12.1766i | −0.874598 | − | 0.596291i | ||||
\(418\) | 36.5745 | − | 0.635177i | 1.78892 | − | 0.0310675i | ||||
\(419\) | −11.1334 | + | 8.87857i | −0.543901 | + | 0.433746i | −0.856506 | − | 0.516137i | \(-0.827370\pi\) |
0.312605 | + | 0.949883i | \(0.398798\pi\) | |||||||
\(420\) | −4.32733 | − | 14.5161i | −0.211152 | − | 0.708312i | ||||
\(421\) | −21.1272 | − | 16.8484i | −1.02968 | − | 0.821139i | −0.0456124 | − | 0.998959i | \(-0.514524\pi\) |
−0.984063 | + | 0.177820i | \(0.943095\pi\) | |||||||
\(422\) | −9.25611 | − | 7.12212i | −0.450580 | − | 0.346699i | ||||
\(423\) | 2.24176 | + | 3.88284i | 0.108998 | + | 0.188790i | ||||
\(424\) | −1.84193 | + | 3.02933i | −0.0894520 | + | 0.147117i | ||||
\(425\) | −4.74557 | − | 4.40324i | −0.230194 | − | 0.213589i | ||||
\(426\) | −10.0119 | − | 30.5631i | −0.485077 | − | 1.48079i | ||||
\(427\) | −12.2620 | + | 14.0540i | −0.593402 | + | 0.680120i | ||||
\(428\) | 22.2381 | − | 25.7020i | 1.07492 | − | 1.24235i | ||||
\(429\) | 9.01986 | − | 3.54004i | 0.435483 | − | 0.170915i | ||||
\(430\) | −0.0249888 | + | 0.434602i | −0.00120507 | + | 0.0209584i | ||||
\(431\) | −5.66735 | + | 1.74814i | −0.272986 | + | 0.0842052i | −0.428226 | − | 0.903672i | \(-0.640861\pi\) |
0.155239 | + | 0.987877i | \(0.450385\pi\) | |||||||
\(432\) | −18.1573 | − | 12.5220i | −0.873593 | − | 0.602464i | ||||
\(433\) | 3.66833 | + | 16.0720i | 0.176289 | + | 0.772371i | 0.983323 | + | 0.181867i | \(0.0582140\pi\) |
−0.807034 | + | 0.590504i | \(0.798929\pi\) | |||||||
\(434\) | −2.74325 | − | 0.279805i | −0.131680 | − | 0.0134311i | ||||
\(435\) | −24.0020 | − | 5.47830i | −1.15081 | − | 0.262665i | ||||
\(436\) | 5.73200 | − | 9.06859i | 0.274513 | − | 0.434307i | ||||
\(437\) | −38.9209 | − | 15.2753i | −1.86184 | − | 0.730718i | ||||
\(438\) | −4.95596 | − | 7.00456i | −0.236805 | − | 0.334691i | ||||
\(439\) | 2.23769 | − | 1.52563i | 0.106799 | − | 0.0728145i | −0.508743 | − | 0.860919i | \(-0.669890\pi\) |
0.615542 | + | 0.788104i | \(0.288937\pi\) | |||||||
\(440\) | 22.1362 | + | 9.27317i | 1.05530 | + | 0.442081i | ||||
\(441\) | −2.48760 | − | 2.03985i | −0.118457 | − | 0.0971356i | ||||
\(442\) | −0.875359 | + | 6.58110i | −0.0416366 | + | 0.313031i | ||||
\(443\) | 22.9280 | + | 33.6292i | 1.08934 | + | 1.59777i | 0.755510 | + | 0.655137i | \(0.227389\pi\) |
0.333831 | + | 0.942633i | \(0.391658\pi\) | |||||||
\(444\) | −19.9357 | + | 10.4683i | −0.946105 | + | 0.496804i | ||||
\(445\) | 9.83377 | + | 3.85947i | 0.466165 | + | 0.182956i | ||||
\(446\) | 23.3479 | + | 10.7484i | 1.10556 | + | 0.508952i | ||||
\(447\) | 3.61180 | − | 15.8243i | 0.170832 | − | 0.748464i | ||||
\(448\) | 20.9741 | − | 2.84409i | 0.990931 | − | 0.134371i | ||||
\(449\) | −0.333083 | − | 1.45933i | −0.0157192 | − | 0.0688702i | 0.966460 | − | 0.256817i | \(-0.0826738\pi\) |
−0.982179 | + | 0.187947i | \(0.939817\pi\) | |||||||
\(450\) | −0.237061 | + | 1.12862i | −0.0111751 | + | 0.0532038i | ||||
\(451\) | 6.96099 | + | 22.5670i | 0.327780 | + | 1.06264i | ||||
\(452\) | 0.0569368 | − | 0.296581i | 0.00267808 | − | 0.0139500i | ||||
\(453\) | −6.18536 | + | 2.42757i | −0.290613 | + | 0.114057i | ||||
\(454\) | −9.01522 | + | 13.7292i | −0.423105 | + | 0.644342i | ||||
\(455\) | 5.89504 | + | 1.62268i | 0.276364 | + | 0.0760726i | ||||
\(456\) | −24.6476 | + | 1.28517i | −1.15423 | + | 0.0601838i | ||||
\(457\) | −0.414336 | − | 0.384448i | −0.0193818 | − | 0.0179837i | 0.670422 | − | 0.741980i | \(-0.266113\pi\) |
−0.689804 | + | 0.723996i | \(0.742303\pi\) | |||||||
\(458\) | 1.87275 | − | 6.46800i | 0.0875080 | − | 0.302230i | ||||
\(459\) | −17.4223 | + | 10.0588i | −0.813204 | + | 0.469503i | ||||
\(460\) | −19.3456 | − | 19.4492i | −0.901995 | − | 0.906825i | ||||
\(461\) | 14.0152 | + | 11.1768i | 0.652754 | + | 0.520554i | 0.892942 | − | 0.450172i | \(-0.148637\pi\) |
−0.240187 | + | 0.970727i | \(0.577209\pi\) | |||||||
\(462\) | −27.6280 | + | 5.53014i | −1.28537 | + | 0.257286i | ||||
\(463\) | −6.61157 | − | 8.29064i | −0.307266 | − | 0.385299i | 0.604092 | − | 0.796915i | \(-0.293536\pi\) |
−0.911357 | + | 0.411616i | \(0.864965\pi\) | |||||||
\(464\) | 12.7391 | − | 31.9559i | 0.591398 | − | 1.48351i | ||||
\(465\) | 1.74306 | + | 1.18840i | 0.0808325 | + | 0.0551107i | ||||
\(466\) | −25.4845 | − | 22.8357i | −1.18055 | − | 1.05784i | ||||
\(467\) | −1.69306 | − | 11.2327i | −0.0783454 | − | 0.519788i | −0.993238 | − | 0.116092i | \(-0.962963\pi\) |
0.914893 | − | 0.403696i | \(-0.132275\pi\) | |||||||
\(468\) | 1.08528 | − | 0.470059i | 0.0501672 | − | 0.0217285i | ||||
\(469\) | 17.0020 | − | 26.6539i | 0.785082 | − | 1.23076i | ||||
\(470\) | 17.1669 | + | 17.8689i | 0.791849 | + | 0.824231i | ||||
\(471\) | 0.995627 | − | 1.72448i | 0.0458761 | − | 0.0794597i | ||||
\(472\) | 0.515420 | − | 0.0657573i | 0.0237241 | − | 0.00302673i | ||||
\(473\) | 0.800707 | + | 0.120687i | 0.0368166 | + | 0.00554920i | ||||
\(474\) | 1.20670 | − | 0.997074i | 0.0554254 | − | 0.0457971i | ||||
\(475\) | 4.21496 | + | 8.75245i | 0.193396 | + | 0.401590i | ||||
\(476\) | 5.86501 | − | 18.3929i | 0.268822 | − | 0.843038i | ||||
\(477\) | 0.249944 | − | 0.519014i | 0.0114442 | − | 0.0237640i | ||||
\(478\) | 6.97116 | + | 28.2705i | 0.318853 | + | 1.29306i | ||||
\(479\) | 0.162667 | + | 2.17064i | 0.00743244 | + | 0.0991790i | 0.999686 | − | 0.0250481i | \(-0.00797390\pi\) |
−0.992254 | + | 0.124227i | \(0.960355\pi\) | |||||||
\(480\) | −15.1439 | − | 5.73436i | −0.691220 | − | 0.261737i | ||||
\(481\) | 0.679228 | − | 9.06367i | 0.0309701 | − | 0.413268i | ||||
\(482\) | −1.88281 | − | 20.3709i | −0.0857596 | − | 0.927867i | ||||
\(483\) | 31.6024 | + | 6.20275i | 1.43796 | + | 0.282235i | ||||
\(484\) | 10.6339 | − | 19.9910i | 0.483360 | − | 0.908681i | ||||
\(485\) | −7.46820 | + | 24.2113i | −0.339114 | + | 1.09938i | ||||
\(486\) | 5.85227 | + | 3.24464i | 0.265464 | + | 0.147180i | ||||
\(487\) | 13.8737 | − | 12.8729i | 0.628678 | − | 0.583328i | −0.300126 | − | 0.953900i | \(-0.597029\pi\) |
0.928804 | + | 0.370572i | \(0.120838\pi\) | |||||||
\(488\) | 3.99440 | + | 19.5349i | 0.180818 | + | 0.884304i | ||||
\(489\) | −20.6886 | −0.935569 | ||||||||
\(490\) | −16.0475 | − | 7.65420i | −0.724950 | − | 0.345781i | ||||
\(491\) | − | 27.3837i | − | 1.23581i | −0.786252 | − | 0.617905i | \(-0.787981\pi\) | ||
0.786252 | − | 0.617905i | \(-0.212019\pi\) | |||||||
\(492\) | −5.22255 | − | 15.0540i | −0.235451 | − | 0.678687i | ||||
\(493\) | −21.3420 | − | 23.0012i | −0.961197 | − | 1.03592i | ||||
\(494\) | 4.83074 | − | 8.71307i | 0.217345 | − | 0.392020i | ||||
\(495\) | −3.72637 | − | 1.14943i | −0.167488 | − | 0.0516632i | ||||
\(496\) | −2.01658 | + | 2.15021i | −0.0905469 | + | 0.0965472i | ||||
\(497\) | −34.4963 | − | 15.3311i | −1.54737 | − | 0.687693i | ||||
\(498\) | −2.80069 | − | 30.3018i | −0.125502 | − | 1.35786i | ||||
\(499\) | 15.9456 | + | 1.19496i | 0.713822 | + | 0.0534935i | 0.426690 | − | 0.904398i | \(-0.359679\pi\) |
0.287131 | + | 0.957891i | \(0.407298\pi\) | |||||||
\(500\) | 0.844932 | + | 24.3189i | 0.0377865 | + | 1.08757i | ||||
\(501\) | 29.0952 | − | 2.18038i | 1.29988 | − | 0.0974122i | ||||
\(502\) | 21.1154 | − | 5.20681i | 0.942429 | − | 0.232391i | ||||
\(503\) | −36.6694 | − | 17.6590i | −1.63501 | − | 0.787378i | −0.999888 | − | 0.0149632i | \(-0.995237\pi\) |
−0.635119 | − | 0.772415i | \(-0.719049\pi\) | |||||||
\(504\) | −3.34676 | + | 0.791687i | −0.149077 | + | 0.0352646i | ||||
\(505\) | −13.4639 | + | 6.48389i | −0.599137 | + | 0.288529i | ||||
\(506\) | −39.3365 | + | 32.5031i | −1.74872 | + | 1.44494i | ||||
\(507\) | −2.69488 | + | 17.8794i | −0.119684 | + | 0.794051i | ||||
\(508\) | −6.23113 | − | 23.5057i | −0.276461 | − | 1.04290i | ||||
\(509\) | 16.0286 | + | 9.25412i | 0.710455 | + | 0.410182i | 0.811230 | − | 0.584728i | \(-0.198799\pi\) |
−0.100774 | + | 0.994909i | \(0.532132\pi\) | |||||||
\(510\) | −10.6509 | + | 10.2324i | −0.471630 | + | 0.453100i | ||||
\(511\) | −10.0003 | − | 1.19579i | −0.442386 | − | 0.0528987i | ||||
\(512\) | 11.1825 | − | 19.6711i | 0.494200 | − | 0.869348i | ||||
\(513\) | 29.8513 | − | 4.49936i | 1.31797 | − | 0.198652i | ||||
\(514\) | 16.5543 | + | 14.8337i | 0.730181 | + | 0.654285i | ||||
\(515\) | 3.65989 | − | 5.36807i | 0.161274 | − | 0.236546i | ||||
\(516\) | −0.542751 | − | 0.0626214i | −0.0238933 | − | 0.00275675i | ||||
\(517\) | 36.0364 | − | 28.7380i | 1.58488 | − | 1.26390i | ||||
\(518\) | −6.57070 | + | 25.5999i | −0.288700 | + | 1.12479i | ||||
\(519\) | 22.2143 | − | 27.8558i | 0.975098 | − | 1.22273i | ||||
\(520\) | 5.20161 | − | 3.95834i | 0.228106 | − | 0.173585i | ||||
\(521\) | −11.2513 | − | 19.4879i | −0.492930 | − | 0.853780i | 0.507037 | − | 0.861924i | \(-0.330741\pi\) |
−0.999967 | + | 0.00814475i | \(0.997407\pi\) | |||||||
\(522\) | −1.55459 | + | 5.36915i | −0.0680426 | + | 0.235001i | ||||
\(523\) | 19.5192 | − | 21.0367i | 0.853515 | − | 0.919871i | −0.144053 | − | 0.989570i | \(-0.546014\pi\) |
0.997568 | + | 0.0696993i | \(0.0222040\pi\) | |||||||
\(524\) | 7.51861 | + | 40.3259i | 0.328452 | + | 1.76165i | ||||
\(525\) | −4.40225 | − | 6.05066i | −0.192130 | − | 0.264073i | ||||
\(526\) | 16.0292 | + | 10.5255i | 0.698907 | + | 0.458935i | ||||
\(527\) | 0.982306 | + | 2.50288i | 0.0427899 | + | 0.109027i | ||||
\(528\) | −13.2140 | + | 27.0684i | −0.575064 | + | 1.17800i | ||||
\(529\) | 33.7553 | − | 10.4121i | 1.46762 | − | 0.452702i | ||||
\(530\) | 0.654441 | − | 3.11573i | 0.0284271 | − | 0.135339i | ||||
\(531\) | −0.0823093 | + | 0.0187866i | −0.00357192 | + | 0.000815267i | ||||
\(532\) | −18.2763 | + | 22.4772i | −0.792377 | + | 0.974510i | ||||
\(533\) | 6.27063 | + | 1.43123i | 0.271611 | + | 0.0619935i | ||||
\(534\) | −5.54434 | + | 12.0435i | −0.239927 | + | 0.521175i | ||||
\(535\) | −11.1503 | + | 28.4106i | −0.482070 | + | 1.22830i | ||||
\(536\) | −11.6302 | − | 31.7336i | −0.502349 | − | 1.37068i | ||||
\(537\) | −4.99359 | + | 3.40457i | −0.215489 | + | 0.146918i | ||||
\(538\) | −0.223081 | + | 1.67716i | −0.00961770 | + | 0.0723076i | ||||
\(539\) | −16.9246 | + | 28.4133i | −0.728996 | + | 1.22385i | ||||
\(540\) | 19.1180 | + | 5.17740i | 0.822706 | + | 0.222800i | ||||
\(541\) | −8.26090 | − | 12.1165i | −0.355164 | − | 0.520930i | 0.606528 | − | 0.795062i | \(-0.292562\pi\) |
−0.961692 | + | 0.274132i | \(0.911609\pi\) | |||||||
\(542\) | −14.7018 | + | 10.4020i | −0.631496 | + | 0.446804i | ||||
\(543\) | −2.91715 | + | 7.43277i | −0.125187 | + | 0.318971i | ||||
\(544\) | −11.8302 | − | 16.9111i | −0.507215 | − | 0.725059i | ||||
\(545\) | −2.14375 | + | 9.39238i | −0.0918281 | + | 0.402325i | ||||
\(546\) | −2.45791 | + | 7.26951i | −0.105189 | + | 0.311106i | ||||
\(547\) | 7.67274 | − | 1.75125i | 0.328063 | − | 0.0748782i | −0.0553174 | − | 0.998469i | \(-0.517617\pi\) |
0.383380 | + | 0.923591i | \(0.374760\pi\) | |||||||
\(548\) | −1.73029 | + | 4.90286i | −0.0739145 | + | 0.209440i | ||||
\(549\) | −0.954941 | − | 3.09584i | −0.0407559 | − | 0.132127i | ||||
\(550\) | 11.8363 | + | 0.680565i | 0.504701 | + | 0.0290194i | ||||
\(551\) | 17.2021 | + | 43.8302i | 0.732834 | + | 1.86723i | ||||
\(552\) | 25.7634 | − | 22.8387i | 1.09656 | − | 0.972078i | ||||
\(553\) | 0.0812040 | − | 1.83554i | 0.00345314 | − | 0.0780550i | ||||
\(554\) | −9.36789 | − | 28.5972i | −0.398003 | − | 1.21498i | ||||
\(555\) | 13.7532 | − | 14.8225i | 0.583792 | − | 0.629178i | ||||
\(556\) | −10.9129 | + | 24.8314i | −0.462808 | + | 1.05309i | ||||
\(557\) | −27.7821 | + | 16.0400i | −1.17717 | + | 0.679638i | −0.955357 | − | 0.295452i | \(-0.904530\pi\) |
−0.221810 | + | 0.975090i | \(0.571196\pi\) | |||||||
\(558\) | 0.292092 | − | 0.379612i | 0.0123653 | − | 0.0160703i | ||||
\(559\) | 0.137503 | − | 0.172423i | 0.00581574 | − | 0.00729270i | ||||
\(560\) | −16.9111 | + | 8.67653i | −0.714623 | + | 0.366650i | ||||
\(561\) | 17.1295 | + | 21.4797i | 0.723209 | + | 0.906875i | ||||
\(562\) | 7.84153 | − | 0.136181i | 0.330775 | − | 0.00574446i | ||||
\(563\) | 15.7932 | − | 23.1643i | 0.665603 | − | 0.976261i | −0.333831 | − | 0.942633i | \(-0.608342\pi\) |
0.999434 | − | 0.0336278i | \(-0.0107061\pi\) | |||||||
\(564\) | −23.6263 | + | 20.2225i | −0.994848 | + | 0.851523i | ||||
\(565\) | 0.0404191 | + | 0.268163i | 0.00170044 | + | 0.0112817i | ||||
\(566\) | 21.3174 | − | 12.8062i | 0.896039 | − | 0.538287i | ||||
\(567\) | −18.5487 | + | 6.34900i | −0.778973 | + | 0.266633i | ||||
\(568\) | −35.3985 | + | 19.3794i | −1.48529 | + | 0.813140i | ||||
\(569\) | 3.88734 | − | 6.73308i | 0.162966 | − | 0.282265i | −0.772965 | − | 0.634448i | \(-0.781227\pi\) |
0.935931 | + | 0.352183i | \(0.114561\pi\) | |||||||
\(570\) | 20.4877 | − | 8.45427i | 0.858136 | − | 0.354110i | ||||
\(571\) | −3.45416 | + | 22.9168i | −0.144552 | + | 0.959039i | 0.792506 | + | 0.609865i | \(0.208776\pi\) |
−0.937058 | + | 0.349175i | \(0.886462\pi\) | |||||||
\(572\) | −6.44129 | − | 10.3123i | −0.269324 | − | 0.431178i | ||||
\(573\) | −6.81359 | − | 14.1486i | −0.284642 | − | 0.591065i | ||||
\(574\) | −17.2204 | − | 7.29783i | −0.718765 | − | 0.304606i | ||||
\(575\) | −12.2093 | − | 5.87968i | −0.509162 | − | 0.245200i | ||||
\(576\) | −1.49718 | + | 3.35793i | −0.0623826 | + | 0.139914i | ||||
\(577\) | 2.67577 | + | 35.7057i | 0.111394 | + | 1.48645i | 0.720554 | + | 0.693399i | \(0.243888\pi\) |
−0.609160 | + | 0.793047i | \(0.708493\pi\) | |||||||
\(578\) | 5.14501 | − | 0.867106i | 0.214004 | − | 0.0360669i | ||||
\(579\) | 0.230331 | + | 0.0172609i | 0.00957223 | + | 0.000717340i | ||||
\(580\) | −1.23753 | + | 30.8676i | −0.0513855 | + | 1.28171i | ||||
\(581\) | −28.5941 | − | 21.4058i | −1.18628 | − | 0.888061i | ||||
\(582\) | −29.7985 | − | 11.1019i | −1.23519 | − | 0.460187i | ||||
\(583\) | −5.65903 | − | 1.74558i | −0.234373 | − | 0.0722945i | ||||
\(584\) | −7.50065 | + | 7.72439i | −0.310379 | + | 0.319638i | ||||
\(585\) | −0.778550 | + | 0.722388i | −0.0321891 | + | 0.0298671i | ||||
\(586\) | 2.05472 | + | 4.08373i | 0.0848799 | + | 0.168697i | ||||
\(587\) | − | 45.6463i | − | 1.88402i | −0.335580 | − | 0.942012i | \(-0.608932\pi\) | ||
0.335580 | − | 0.942012i | \(-0.391068\pi\) | |||||||
\(588\) | 10.7468 | − | 19.5558i | 0.443189 | − | 0.806469i | ||||
\(589\) | − | 4.03474i | − | 0.166248i | ||||||
\(590\) | −0.416810 | + | 0.209718i | −0.0171598 | + | 0.00863395i | ||||
\(591\) | −5.50398 | + | 5.10694i | −0.226403 | + | 0.210072i | ||||
\(592\) | 17.4982 | + | 22.1840i | 0.719171 | + | 0.911757i | ||||
\(593\) | −10.3440 | − | 3.19070i | −0.424777 | − | 0.131026i | 0.0749937 | − | 0.997184i | \(-0.476106\pi\) |
−0.499771 | + | 0.866158i | \(0.666583\pi\) | |||||||
\(594\) | 12.8627 | − | 34.5247i | 0.527762 | − | 1.41656i | ||||
\(595\) | 0.530209 | + | 17.3280i | 0.0217364 | + | 0.710381i | ||||
\(596\) | −20.3507 | − | 0.815891i | −0.833599 | − | 0.0334202i | ||||
\(597\) | 9.81089 | + | 0.735225i | 0.401533 | + | 0.0300907i | ||||
\(598\) | 2.30961 | + | 13.7041i | 0.0944469 | + | 0.560404i | ||||
\(599\) | 0.734468 | + | 9.80079i | 0.0300095 | + | 0.400450i | 0.991901 | + | 0.127017i | \(0.0405401\pi\) |
−0.961891 | + | 0.273433i | \(0.911841\pi\) | |||||||
\(600\) | −7.99725 | − | 0.181609i | −0.326486 | − | 0.00741416i | ||||
\(601\) | 40.4470 | + | 19.4783i | 1.64987 | + | 0.794535i | 0.999387 | + | 0.0350143i | \(0.0111477\pi\) |
0.650483 | + | 0.759521i | \(0.274567\pi\) | |||||||
\(602\) | −0.481636 | + | 0.423410i | −0.0196300 | + | 0.0172569i | ||||
\(603\) | 2.38270 | + | 4.94773i | 0.0970311 | + | 0.201487i | ||||
\(604\) | 4.41710 | + | 7.07162i | 0.179729 | + | 0.287740i | ||||
\(605\) | −3.03057 | + | 20.1065i | −0.123210 | + | 0.817445i | ||||
\(606\) | −7.15423 | − | 17.3373i | −0.290621 | − | 0.704279i | ||||
\(607\) | 10.5883 | − | 18.3395i | 0.429767 | − | 0.744377i | −0.567086 | − | 0.823659i | \(-0.691929\pi\) |
0.996852 | + | 0.0792813i | \(0.0252625\pi\) | |||||||
\(608\) | 7.25403 | + | 30.1084i | 0.294190 | + | 1.22106i | ||||
\(609\) | −19.0860 | − | 30.8394i | −0.773402 | − | 1.24968i | ||||
\(610\) | −9.22053 | − | 15.3486i | −0.373328 | − | 0.621447i | ||||
\(611\) | −1.87097 | − | 12.4131i | −0.0756913 | − | 0.502179i | ||||
\(612\) | 2.18058 | + | 2.54760i | 0.0881446 | + | 0.102981i | ||||
\(613\) | −17.1860 | + | 25.2072i | −0.694135 | + | 1.01811i | 0.303728 | + | 0.952759i | \(0.401769\pi\) |
−0.997862 | + | 0.0653499i | \(0.979184\pi\) | |||||||
\(614\) | 0.748480 | + | 43.0987i | 0.0302062 | + | 1.73932i | ||||
\(615\) | 8.92141 | + | 11.1871i | 0.359746 | + | 0.451107i | ||||
\(616\) | 13.1759 | + | 32.8087i | 0.530871 | + | 1.32190i | ||||
\(617\) | 19.8769 | − | 24.9248i | 0.800212 | − | 1.00343i | −0.199511 | − | 0.979896i | \(-0.563935\pi\) |
0.999723 | − | 0.0235387i | \(-0.00749329\pi\) | |||||||
\(618\) | 6.46246 | + | 4.97254i | 0.259958 | + | 0.200025i | ||||
\(619\) | −12.2316 | + | 7.06192i | −0.491630 | + | 0.283842i | −0.725250 | − | 0.688485i | \(-0.758276\pi\) |
0.233621 | + | 0.972328i | \(0.424943\pi\) | |||||||
\(620\) | 1.06506 | − | 2.42347i | 0.0427739 | − | 0.0973290i | ||||
\(621\) | −28.6432 | + | 30.8700i | −1.14941 | + | 1.23877i | ||||
\(622\) | −5.76400 | + | 1.88817i | −0.231115 | + | 0.0757089i | ||||
\(623\) | 6.12594 | + | 14.3059i | 0.245431 | + | 0.573152i | ||||
\(624\) | 4.58501 | + | 6.80274i | 0.183547 | + | 0.272327i | ||||
\(625\) | −4.74191 | − | 12.0822i | −0.189677 | − | 0.483288i | ||||
\(626\) | −1.76816 | + | 30.7516i | −0.0706699 | + | 1.22908i | ||||
\(627\) | −12.1519 | − | 39.3955i | −0.485300 | − | 1.57330i | ||||
\(628\) | −2.35621 | − | 0.831542i | −0.0940230 | − | 0.0331821i | ||||
\(629\) | 25.1246 | − | 5.73453i | 1.00178 | − | 0.228651i | ||||
\(630\) | 2.59747 | − | 1.67059i | 0.103486 | − | 0.0665580i | ||||
\(631\) | −3.70989 | + | 16.2541i | −0.147688 | + | 0.647065i | 0.845836 | + | 0.533443i | \(0.179102\pi\) |
−0.993524 | + | 0.113622i | \(0.963755\pi\) | |||||||
\(632\) | −1.50747 | − | 1.25920i | −0.0599638 | − | 0.0500884i | ||||
\(633\) | −4.80888 | + | 12.2528i | −0.191136 | + | 0.487006i | ||||
\(634\) | 4.54140 | + | 6.41864i | 0.180362 | + | 0.254917i | ||||
\(635\) | 12.3013 | + | 18.0427i | 0.488162 | + | 0.716002i | ||||
\(636\) | 3.85683 | + | 1.04448i | 0.152933 | + | 0.0414163i | ||||
\(637\) | 4.39693 | + | 7.86110i | 0.174213 | + | 0.311468i | ||||
\(638\) | 56.9623 | + | 7.57660i | 2.25516 | + | 0.299961i | ||||
\(639\) | 5.41781 | − | 3.69380i | 0.214325 | − | 0.146124i | ||||
\(640\) | −3.59067 | + | 19.9996i | −0.141934 | + | 0.790552i | ||||
\(641\) | 4.76591 | − | 12.1433i | 0.188242 | − | 0.479633i | −0.805331 | − | 0.592826i | \(-0.798012\pi\) |
0.993573 | + | 0.113192i | \(0.0361076\pi\) | |||||||
\(642\) | −34.7948 | − | 16.0180i | −1.37324 | − | 0.632182i | ||||
\(643\) | −1.42816 | − | 0.325967i | −0.0563210 | − | 0.0128549i | 0.194268 | − | 0.980949i | \(-0.437767\pi\) |
−0.250589 | + | 0.968094i | \(0.580624\pi\) | |||||||
\(644\) | 0.383145 | − | 40.4097i | 0.0150980 | − | 1.59237i | ||||
\(645\) | 0.478321 | − | 0.109174i | 0.0188339 | − | 0.00429870i | ||||
\(646\) | 27.6443 | + | 5.80652i | 1.08765 | + | 0.228454i | ||||
\(647\) | 37.1103 | − | 11.4470i | 1.45896 | − | 0.450029i | 0.539087 | − | 0.842250i | \(-0.318769\pi\) |
0.919871 | + | 0.392221i | \(0.128293\pi\) | |||||||
\(648\) | −6.63083 | + | 19.8823i | −0.260484 | + | 0.781050i | ||||
\(649\) | 0.317091 | + | 0.807934i | 0.0124469 | + | 0.0317142i | ||||
\(650\) | 1.77233 | − | 2.69907i | 0.0695167 | − | 0.105866i | ||||
\(651\) | 0.556962 | + | 3.05747i | 0.0218291 | + | 0.119832i | ||||
\(652\) | 4.75816 | + | 25.5203i | 0.186344 | + | 0.999454i | ||||
\(653\) | 14.6719 | − | 15.8125i | 0.574155 | − | 0.618791i | −0.377482 | − | 0.926017i | \(-0.623210\pi\) |
0.951637 | + | 0.307225i | \(0.0994006\pi\) | |||||||
\(654\) | −11.6141 | − | 3.36276i | −0.454147 | − | 0.131494i | ||||
\(655\) | −18.4183 | − | 31.9014i | −0.719662 | − | 1.24649i | ||||
\(656\) | −17.3687 | + | 9.90454i | −0.678134 | + | 0.386707i | ||||
\(657\) | 1.09076 | − | 1.36777i | 0.0425546 | − | 0.0533618i | ||||
\(658\) | −0.979847 | + | 36.4898i | −0.0381984 | + | 1.42252i | ||||
\(659\) | −18.5432 | + | 14.7877i | −0.722342 | + | 0.576048i | −0.914146 | − | 0.405385i | \(-0.867138\pi\) |
0.191804 | + | 0.981433i | \(0.438566\pi\) | |||||||
\(660\) | 3.10028 | − | 26.8707i | 0.120678 | − | 1.04594i | ||||
\(661\) | 5.12744 | − | 7.52057i | 0.199434 | − | 0.292516i | −0.713474 | − | 0.700682i | \(-0.752879\pi\) |
0.912908 | + | 0.408166i | \(0.133832\pi\) | |||||||
\(662\) | −9.32462 | + | 10.4063i | −0.362411 | + | 0.404451i | ||||
\(663\) | 7.39890 | − | 1.11520i | 0.287350 | − | 0.0433110i | ||||
\(664\) | −36.7346 | + | 10.4239i | −1.42558 | + | 0.404526i | ||||
\(665\) | 8.75917 | − | 24.4958i | 0.339666 | − | 0.949906i | ||||
\(666\) | −3.18056 | − | 3.31063i | −0.123244 | − | 0.128284i | ||||
\(667\) | −56.8819 | − | 32.8408i | −2.20248 | − | 1.27160i | ||||
\(668\) | −9.38121 | − | 35.3888i | −0.362970 | − | 1.36923i | ||||
\(669\) | 4.31752 | − | 28.6449i | 0.166925 | − | 1.10748i | ||||
\(670\) | 19.3322 | + | 23.3966i | 0.746869 | + | 0.903889i | ||||
\(671\) | −30.0078 | + | 14.4510i | −1.15844 | + | 0.557874i | ||||
\(672\) | −9.65324 | − | 21.8145i | −0.372382 | − | 0.841511i | ||||
\(673\) | −12.6587 | − | 6.09609i | −0.487956 | − | 0.234987i | 0.173695 | − | 0.984800i | \(-0.444429\pi\) |
−0.661650 | + | 0.749812i | \(0.730144\pi\) | |||||||
\(674\) | −7.99796 | − | 32.4346i | −0.308070 | − | 1.24933i | ||||
\(675\) | 9.75695 | − | 0.731182i | 0.375545 | − | 0.0281432i | ||||
\(676\) | 22.6749 | − | 0.787812i | 0.872111 | − | 0.0303005i | ||||
\(677\) | 32.0367 | + | 2.40082i | 1.23127 | + | 0.0922709i | 0.674423 | − | 0.738345i | \(-0.264392\pi\) |
0.556846 | + | 0.830616i | \(0.312011\pi\) | |||||||
\(678\) | −0.338917 | + | 0.0313250i | −0.0130160 | + | 0.00120303i | ||||
\(679\) | −33.1176 | + | 17.2156i | −1.27094 | + | 0.660674i | ||||
\(680\) | 15.0718 | + | 10.7850i | 0.577978 | + | 0.413587i | ||||
\(681\) | 17.6886 | + | 5.45622i | 0.677830 | + | 0.209083i | ||||
\(682\) | −4.30651 | − | 2.38763i | −0.164905 | − | 0.0914273i | ||||
\(683\) | 17.6103 | + | 18.9794i | 0.673840 | + | 0.726226i | 0.973719 | − | 0.227751i | \(-0.0731371\pi\) |
−0.299880 | + | 0.953977i | \(0.596947\pi\) | |||||||
\(684\) | −1.64931 | − | 4.75415i | −0.0630631 | − | 0.181779i | ||||
\(685\) | − | 4.66889i | − | 0.178389i | ||||||
\(686\) | −8.57464 | − | 24.7482i | −0.327381 | − | 0.944892i | ||||
\(687\) | −7.58909 | −0.289542 | ||||||||
\(688\) | 0.0475809 | + | 0.683912i | 0.00181400 | + | 0.0260739i | ||||
\(689\) | −1.18234 | + | 1.09705i | −0.0450436 | + | 0.0417943i | ||||
\(690\) | −14.9913 | + | 27.0394i | −0.570709 | + | 1.02937i | ||||
\(691\) | 4.27088 | − | 13.8459i | 0.162472 | − | 0.526721i | −0.837328 | − | 0.546700i | \(-0.815884\pi\) |
0.999800 | + | 0.0199791i | \(0.00635997\pi\) | |||||||
\(692\) | −39.4706 | − | 20.9958i | −1.50045 | − | 0.798141i | ||||
\(693\) | −2.64966 | − | 5.09713i | −0.100652 | − | 0.193624i | ||||
\(694\) | −20.5664 | + | 1.90088i | −0.780688 | + | 0.0721564i | ||||
\(695\) | 1.82019 | − | 24.2888i | 0.0690439 | − | 0.921326i | ||||
\(696\) | −38.5876 | − | 3.77445i | −1.46266 | − | 0.143070i | ||||
\(697\) | 1.36283 | + | 18.1857i | 0.0516208 | + | 0.688831i | ||||
\(698\) | −3.10299 | + | 0.765160i | −0.117450 | + | 0.0289617i | ||||
\(699\) | −16.7331 | + | 34.7467i | −0.632905 | + | 1.31424i | ||||
\(700\) | −6.45131 | + | 6.82198i | −0.243837 | + | 0.257847i | ||||
\(701\) | 11.0585 | + | 22.9632i | 0.417674 | + | 0.867310i | 0.998577 | + | 0.0533364i | \(0.0169856\pi\) |
−0.580902 | + | 0.813973i | \(0.697300\pi\) | |||||||
\(702\) | −6.39151 | − | 7.73525i | −0.241232 | − | 0.291948i | ||||
\(703\) | −38.2398 | − | 5.76372i | −1.44224 | − | 0.217383i | ||||
\(704\) | 36.4292 | + | 10.0746i | 1.37298 | + | 0.379701i | ||||
\(705\) | 13.9634 | − | 24.1854i | 0.525894 | − | 0.910874i | ||||
\(706\) | 13.4492 | − | 12.9208i | 0.506165 | − | 0.486279i | ||||
\(707\) | −20.7290 | − | 7.41225i | −0.779594 | − | 0.278766i | ||||
\(708\) | −0.232745 | − | 0.537368i | −0.00874710 | − | 0.0201955i | ||||
\(709\) | −0.238351 | − | 1.58136i | −0.00895147 | − | 0.0593891i | 0.983909 | − | 0.178670i | \(-0.0571793\pi\) |
−0.992861 | + | 0.119280i | \(0.961941\pi\) | |||||||
\(710\) | 24.1842 | − | 26.9895i | 0.907616 | − | 1.01290i | ||||
\(711\) | 0.263693 | + | 0.179783i | 0.00988926 | + | 0.00674239i | ||||
\(712\) | 16.1314 | + | 4.06932i | 0.604551 | + | 0.152504i | ||||
\(713\) | 3.50917 | + | 4.40036i | 0.131420 | + | 0.164795i | ||||
\(714\) | −21.7500 | − | 0.584045i | −0.813975 | − | 0.0218573i | ||||
\(715\) | 8.53638 | + | 6.80753i | 0.319242 | + | 0.254587i | ||||
\(716\) | 5.34818 | + | 5.37682i | 0.199871 | + | 0.200941i | ||||
\(717\) | 28.4198 | − | 16.4082i | 1.06136 | − | 0.612774i | ||||
\(718\) | −30.4005 | − | 8.80221i | −1.13454 | − | 0.328496i | ||||
\(719\) | −8.43517 | − | 7.82670i | −0.314579 | − | 0.291886i | 0.507041 | − | 0.861922i | \(-0.330739\pi\) |
−0.821620 | + | 0.570035i | \(0.806930\pi\) | |||||||
\(720\) | 0.264304 | − | 3.29096i | 0.00985001 | − | 0.122647i | ||||
\(721\) | 9.41605 | − | 1.71527i | 0.350672 | − | 0.0638799i | ||||
\(722\) | −12.9717 | − | 8.51782i | −0.482756 | − | 0.317000i | ||||
\(723\) | −21.4628 | + | 8.42352i | −0.798209 | + | 0.313274i | ||||
\(724\) | 9.83960 | + | 1.88898i | 0.365686 | + | 0.0702034i | ||||
\(725\) | 4.49814 | + | 14.5826i | 0.167057 | + | 0.541584i | ||||
\(726\) | −24.9749 | − | 5.24583i | −0.926905 | − | 0.194691i | ||||
\(727\) | 10.7707 | + | 47.1893i | 0.399462 | + | 1.75016i | 0.629525 | + | 0.776980i | \(0.283249\pi\) |
−0.230064 | + | 0.973176i | \(0.573893\pi\) | |||||||
\(728\) | 9.53259 | + | 1.36004i | 0.353301 | + | 0.0504063i | ||||
\(729\) | 6.62486 | − | 29.0254i | 0.245365 | − | 1.07501i | ||||
\(730\) | 4.04317 | − | 8.78266i | 0.149644 | − | 0.325061i | ||||
\(731\) | 0.582075 | + | 0.228447i | 0.0215288 | + | 0.00844944i | ||||
\(732\) | 19.8959 | − | 10.4474i | 0.735375 | − | 0.386148i | ||||
\(733\) | 11.7048 | + | 17.1678i | 0.432328 | + | 0.634108i | 0.979150 | − | 0.203141i | \(-0.0651149\pi\) |
−0.546822 | + | 0.837249i | \(0.684163\pi\) | |||||||
\(734\) | −25.1023 | − | 3.33888i | −0.926543 | − | 0.123240i | ||||
\(735\) | −3.25615 | + | 19.7717i | −0.120105 | + | 0.729292i | ||||
\(736\) | −34.0979 | − | 26.5278i | −1.25687 | − | 0.977826i | ||||
\(737\) | 46.6456 | − | 31.8024i | 1.71821 | − | 1.17146i | ||||
\(738\) | 2.65206 | − | 1.87642i | 0.0976235 | − | 0.0690718i | ||||
\(739\) | −4.00411 | − | 1.57150i | −0.147294 | − | 0.0578085i | 0.290549 | − | 0.956860i | \(-0.406162\pi\) |
−0.437843 | + | 0.899052i | \(0.644257\pi\) | |||||||
\(740\) | −21.4473 | − | 13.5563i | −0.788420 | − | 0.498338i | ||||
\(741\) | −10.9467 | − | 2.49852i | −0.402138 | − | 0.0917854i | ||||
\(742\) | 3.94464 | − | 2.53704i | 0.144812 | − | 0.0931376i | ||||
\(743\) | −0.807993 | − | 3.54005i | −0.0296424 | − | 0.129872i | 0.957942 | − | 0.286963i | \(-0.0926456\pi\) |
−0.987584 | + | 0.157091i | \(0.949788\pi\) | |||||||
\(744\) | 2.95985 | + | 1.50911i | 0.108513 | + | 0.0553266i | ||||
\(745\) | 17.4770 | − | 5.39095i | 0.640309 | − | 0.197509i | ||||
\(746\) | −0.578982 | − | 0.0332904i | −0.0211980 | − | 0.00121885i | ||||
\(747\) | 5.77553 | − | 2.26673i | 0.211316 | − | 0.0829353i | ||||
\(748\) | 22.5567 | − | 26.0702i | 0.824754 | − | 0.953222i | ||||
\(749\) | −41.3308 | + | 17.6983i | −1.51020 | + | 0.646683i | ||||
\(750\) | 26.0621 | − | 8.53745i | 0.951655 | − | 0.311744i | ||||
\(751\) | −11.7996 | − | 10.9484i | −0.430573 | − | 0.399513i | 0.434892 | − | 0.900482i | \(-0.356786\pi\) |
−0.865465 | + | 0.500969i | \(0.832977\pi\) | |||||||
\(752\) | 30.3793 | + | 24.4932i | 1.10782 | + | 0.893176i | ||||
\(753\) | −12.2554 | − | 21.2269i | −0.446611 | − | 0.773552i | ||||
\(754\) | 9.54391 | − | 12.4035i | 0.347569 | − | 0.451711i | ||||
\(755\) | −5.85381 | − | 4.66825i | −0.213042 | − | 0.169895i | ||||
\(756\) | 14.3487 | + | 25.4060i | 0.521859 | + | 0.924009i | ||||
\(757\) | −35.9029 | + | 28.6316i | −1.30491 | + | 1.04063i | −0.308931 | + | 0.951084i | \(0.599971\pi\) |
−0.995982 | + | 0.0895496i | \(0.971457\pi\) | |||||||
\(758\) | −0.421682 | − | 24.2811i | −0.0153162 | − | 0.881929i | ||||
\(759\) | 47.5169 | + | 32.3965i | 1.72476 | + | 1.17592i | ||||
\(760\) | −15.1407 | − | 23.3282i | −0.549212 | − | 0.846203i | ||||
\(761\) | 36.9682 | − | 5.57206i | 1.34010 | − | 0.201987i | 0.560440 | − | 0.828195i | \(-0.310632\pi\) |
0.779656 | + | 0.626208i | \(0.215394\pi\) | |||||||
\(762\) | −23.4935 | + | 14.1135i | −0.851081 | + | 0.511279i | ||||
\(763\) | −12.0680 | + | 7.46865i | −0.436890 | + | 0.270383i | ||||
\(764\) | −15.8859 | + | 11.6589i | −0.574731 | + | 0.421805i | ||||
\(765\) | −2.60789 | − | 1.50566i | −0.0942884 | − | 0.0544374i | ||||
\(766\) | 1.22299 | + | 2.96375i | 0.0441885 | + | 0.107085i | ||||
\(767\) | 0.233742 | + | 0.0352309i | 0.00843993 | + | 0.00127212i | ||||
\(768\) | −24.8005 | − | 5.93993i | −0.894912 | − | 0.214339i | ||||
\(769\) | 16.1737 | − | 7.78885i | 0.583239 | − | 0.280873i | −0.118908 | − | 0.992905i | \(-0.537939\pi\) |
0.702147 | + | 0.712032i | \(0.252225\pi\) | |||||||
\(770\) | −20.9624 | − | 23.8450i | −0.755431 | − | 0.859316i | ||||
\(771\) | 10.8696 | − | 22.5709i | 0.391458 | − | 0.812870i | ||||
\(772\) | −0.0316817 | − | 0.288095i | −0.00114025 | − | 0.0103687i | ||||
\(773\) | 43.9789 | − | 3.29576i | 1.58181 | − | 0.118540i | 0.745390 | − | 0.666629i | \(-0.232263\pi\) |
0.836420 | + | 0.548089i | \(0.184644\pi\) | |||||||
\(774\) | −0.0185124 | − | 0.109844i | −0.000665414 | − | 0.00394826i | ||||
\(775\) | 0.0977235 | − | 1.30403i | 0.00351033 | − | 0.0468421i | ||||
\(776\) | −6.84134 | + | 39.3112i | −0.245590 | + | 1.41119i | ||||
\(777\) | 29.7733 | − | 0.911012i | 1.06811 | − | 0.0326824i | ||||
\(778\) | 26.4058 | + | 9.83787i | 0.946693 | + | 0.352705i | ||||
\(779\) | 8.06628 | − | 26.1502i | 0.289005 | − | 0.936930i | ||||
\(780\) | −5.91563 | − | 4.39038i | −0.211814 | − | 0.157201i | ||||
\(781\) | −45.8507 | − | 49.4153i | −1.64067 | − | 1.76822i | ||||
\(782\) | −35.1996 | + | 17.7106i | −1.25873 | + | 0.633331i | ||||
\(783\) | 47.4234 | 1.69478 | ||||||||
\(784\) | −26.5947 | − | 8.75899i | −0.949812 | − | 0.312821i | ||||
\(785\) | 2.24377 | 0.0800835 | ||||||||
\(786\) | 41.2990 | − | 20.7796i | 1.47309 | − | 0.741183i | ||||
\(787\) | 22.0371 | + | 23.7504i | 0.785539 | + | 0.846610i | 0.991249 | − | 0.132003i | \(-0.0421409\pi\) |
−0.205710 | + | 0.978613i | \(0.565950\pi\) | |||||||
\(788\) | 7.56553 | + | 5.61488i | 0.269511 | + | 0.200022i | ||||
\(789\) | 6.37030 | − | 20.6520i | 0.226789 | − | 0.735231i | ||||
\(790\) | 1.65285 | + | 0.615795i | 0.0588058 | + | 0.0219090i | ||||
\(791\) | −0.239418 | + | 0.319817i | −0.00851271 | + | 0.0113714i | ||||
\(792\) | −6.05039 | − | 1.05295i | −0.214991 | − | 0.0374150i | ||||
\(793\) | −0.677874 | + | 9.04560i | −0.0240720 | + | 0.321219i | ||||
\(794\) | −6.13878 | − | 36.4247i | −0.217857 | − | 1.29266i | ||||
\(795\) | −3.57814 | + | 0.268144i | −0.126903 | + | 0.00951010i | ||||
\(796\) | −1.34947 | − | 12.2713i | −0.0478308 | − | 0.434945i | ||||
\(797\) | −13.6151 | + | 28.2720i | −0.482271 | + | 1.00145i | 0.507878 | + | 0.861429i | \(0.330430\pi\) |
−0.990149 | + | 0.140018i | \(0.955284\pi\) | |||||||
\(798\) | 30.0619 | + | 12.7399i | 1.06418 | + | 0.450988i | ||||
\(799\) | 32.0681 | − | 15.4432i | 1.13449 | − | 0.546341i | ||||
\(800\) | 1.61526 | + | 9.90676i | 0.0571082 | + | 0.350257i | ||||
\(801\) | −2.67301 | − | 0.402892i | −0.0944462 | − | 0.0142355i | ||||
\(802\) | −11.2842 | − | 27.3457i | −0.398459 | − | 0.965609i | ||||
\(803\) | −15.5754 | − | 8.99246i | −0.549644 | − | 0.317337i | ||||
\(804\) | −30.7084 | + | 22.5374i | −1.08300 | + | 0.794835i | ||||
\(805\) | 11.7521 | + | 34.3338i | 0.414205 | + | 1.21011i | ||||
\(806\) | −1.14960 | + | 0.690609i | −0.0404928 | + | 0.0243257i | ||||
\(807\) | 1.88558 | − | 0.284205i | 0.0663754 | − | 0.0100045i | ||||
\(808\) | −19.7410 | + | 12.8125i | −0.694485 | + | 0.450742i | ||||
\(809\) | 8.86629 | + | 6.04493i | 0.311722 | + | 0.212529i | 0.709068 | − | 0.705141i | \(-0.249116\pi\) |
−0.397345 | + | 0.917669i | \(0.630069\pi\) | |||||||
\(810\) | −0.326808 | − | 18.8181i | −0.0114829 | − | 0.661202i | ||||
\(811\) | 6.85918 | − | 5.47001i | 0.240858 | − | 0.192078i | −0.495620 | − | 0.868540i | \(-0.665059\pi\) |
0.736478 | + | 0.676462i | \(0.236488\pi\) | |||||||
\(812\) | −33.6524 | + | 30.6362i | −1.18097 | + | 1.07512i | ||||
\(813\) | 15.8692 | + | 12.6553i | 0.556557 | + | 0.443839i | ||||
\(814\) | −28.7811 | + | 37.4048i | −1.00878 | + | 1.31104i | ||||
\(815\) | −11.6560 | − | 20.1889i | −0.408294 | − | 0.707185i | ||||
\(816\) | −14.5994 | + | 18.1078i | −0.511080 | + | 0.633900i | ||||
\(817\) | −0.687843 | − | 0.638225i | −0.0240646 | − | 0.0223287i | ||||
\(818\) | 47.2288 | − | 15.4712i | 1.65132 | − | 0.540939i | ||||
\(819\) | −1.56304 | − | 0.0691489i | −0.0546172 | − | 0.00241626i | ||||
\(820\) | 11.7480 | − | 13.5779i | 0.410258 | − | 0.474161i | ||||
\(821\) | −10.3418 | + | 4.05887i | −0.360932 | + | 0.141656i | −0.538876 | − | 0.842385i | \(-0.681151\pi\) |
0.177943 | + | 0.984041i | \(0.443056\pi\) | |||||||
\(822\) | 5.85006 | + | 0.336368i | 0.204044 | + | 0.0117322i | ||||
\(823\) | 19.8678 | − | 6.12839i | 0.692546 | − | 0.213622i | 0.0715515 | − | 0.997437i | \(-0.477205\pi\) |
0.620995 | + | 0.783815i | \(0.286729\pi\) | |||||||
\(824\) | 4.64757 | − | 9.11540i | 0.161906 | − | 0.317550i | ||||
\(825\) | −2.97332 | − | 13.0270i | −0.103518 | − | 0.453541i | ||||
\(826\) | −0.651150 | − | 0.220162i | −0.0226564 | − | 0.00766041i | ||||
\(827\) | 42.8479 | + | 9.77976i | 1.48997 | + | 0.340076i | 0.888521 | − | 0.458837i | \(-0.151734\pi\) |
0.601448 | + | 0.798912i | \(0.294591\pi\) | |||||||
\(828\) | 5.93365 | + | 3.75049i | 0.206209 | + | 0.130339i | ||||
\(829\) | 29.2275 | + | 11.4709i | 1.01511 | + | 0.398402i | 0.813813 | − | 0.581127i | \(-0.197388\pi\) |
0.201300 | + | 0.979530i | \(0.435483\pi\) | |||||||
\(830\) | 27.9920 | − | 19.8052i | 0.971616 | − | 0.687450i | ||||
\(831\) | −28.0222 | + | 19.1052i | −0.972079 | + | 0.662752i | ||||
\(832\) | 7.33700 | − | 7.22039i | 0.254365 | − | 0.250322i | ||||
\(833\) | −17.6241 | + | 18.4828i | −0.610638 | + | 0.640390i | ||||
\(834\) | 30.3024 | + | 4.03056i | 1.04929 | + | 0.139567i | ||||
\(835\) | 18.5201 | + | 27.1640i | 0.640914 | + | 0.940048i | ||||
\(836\) | −45.8014 | + | 24.0505i | −1.58407 | + | 0.831805i | ||||
\(837\) | −3.78282 | − | 1.48465i | −0.130753 | − | 0.0513169i | ||||
\(838\) | 8.42142 | − | 18.2932i | 0.290913 | − | 0.631928i | ||||
\(839\) | 2.30824 | − | 10.1131i | 0.0796892 | − | 0.349141i | −0.919327 | − | 0.393495i | \(-0.871266\pi\) |
0.999016 | + | 0.0443539i | \(0.0141229\pi\) | |||||||
\(840\) | 14.6937 | + | 15.5878i | 0.506982 | + | 0.537830i | ||||
\(841\) | 10.0060 | + | 43.8390i | 0.345033 | + | 1.51169i | ||||
\(842\) | 37.3997 | + | 7.85559i | 1.28888 | + | 0.270722i | ||||
\(843\) | −2.60535 | − | 8.44634i | −0.0897330 | − | 0.290907i | ||||
\(844\) | 16.2205 | + | 3.11396i | 0.558331 | + | 0.107187i | ||||
\(845\) | −18.9659 | + | 7.44355i | −0.652445 | + | 0.256066i | ||||
\(846\) | −5.30012 | − | 3.48031i | −0.182222 | − | 0.119655i | ||||
\(847\) | −24.2217 | + | 17.6229i | −0.832269 | + | 0.605530i | ||||
\(848\) | 0.401383 | − | 4.99780i | 0.0137836 | − | 0.171625i | ||||
\(849\) | −20.5456 | − | 19.0636i | −0.705124 | − | 0.654260i | ||||
\(850\) | 8.79401 | + | 2.54623i | 0.301632 | + | 0.0873350i | ||||
\(851\) | 46.7180 | − | 26.9727i | 1.60147 | − | 0.924611i | ||||
\(852\) | 32.0752 | + | 32.2469i | 1.09888 | + | 1.10476i | ||||
\(853\) | 1.22563 | + | 0.977405i | 0.0419647 | + | 0.0334657i | 0.644248 | − | 0.764817i | \(-0.277171\pi\) |
−0.602283 | + | 0.798283i | \(0.705742\pi\) | |||||||
\(854\) | 6.55760 | − | 25.5488i | 0.224396 | − | 0.874263i | ||||
\(855\) | 2.81744 | + | 3.53295i | 0.0963543 | + | 0.120824i | ||||
\(856\) | −11.7566 | + | 46.6051i | −0.401832 | + | 1.59293i | ||||
\(857\) | 16.5895 | + | 11.3105i | 0.566686 | + | 0.386360i | 0.812504 | − | 0.582956i | \(-0.198104\pi\) |
−0.245818 | + | 0.969316i | \(0.579056\pi\) | |||||||
\(858\) | −9.14476 | + | 10.2055i | −0.312197 | + | 0.348411i | ||||
\(859\) | −7.06673 | − | 46.8847i | −0.241114 | − | 1.59969i | −0.701967 | − | 0.712209i | \(-0.747695\pi\) |
0.460853 | − | 0.887476i | \(-0.347543\pi\) | |||||||
\(860\) | −0.244680 | − | 0.564923i | −0.00834352 | − | 0.0192637i | ||||
\(861\) | −2.50270 | + | 20.9298i | −0.0852919 | + | 0.713287i | ||||
\(862\) | 6.04846 | − | 5.81083i | 0.206011 | − | 0.197918i | ||||
\(863\) | −19.1166 | + | 33.1110i | −0.650738 | + | 1.12711i | 0.332206 | + | 0.943207i | \(0.392207\pi\) |
−0.982944 | + | 0.183905i | \(0.941126\pi\) | |||||||
\(864\) | 30.8978 | + | 4.27779i | 1.05117 | + | 0.145533i | ||||
\(865\) | 39.6987 | + | 5.98361i | 1.34979 | + | 0.203449i | ||||
\(866\) | −14.8502 | − | 17.9723i | −0.504631 | − | 0.610723i | ||||
\(867\) | −2.55141 | − | 5.29805i | −0.0866503 | − | 0.179931i | ||||
\(868\) | 3.64345 | − | 1.39023i | 0.123667 | − | 0.0471875i | ||||
\(869\) | 1.42356 | − | 2.95605i | 0.0482909 | − | 0.100277i | ||||
\(870\) | 33.8043 | − | 8.33573i | 1.14607 | − | 0.282608i | ||||
\(871\) | −1.14903 | − | 15.3327i | −0.0389333 | − | 0.519529i | ||||
\(872\) | −1.47700 | + | 15.1000i | −0.0500177 | + | 0.511349i | ||||
\(873\) | 0.484507 | − | 6.46530i | 0.0163981 | − | 0.218817i | ||||
\(874\) | 58.8789 | − | 5.44198i | 1.99161 | − | 0.184078i | ||||
\(875\) | 13.0733 | − | 29.4161i | 0.441958 | − | 0.994444i | ||||
\(876\) | 10.7133 | + | 5.69879i | 0.361969 | + | 0.192544i | ||||
\(877\) | −2.46349 | + | 7.98642i | −0.0831860 | + | 0.269682i | −0.987604 | − | 0.156965i | \(-0.949829\pi\) |
0.904418 | + | 0.426647i | \(0.140305\pi\) | |||||||
\(878\) | −1.85716 | + | 3.34971i | −0.0626762 | + | 0.113047i | ||||
\(879\) | 3.77688 | − | 3.50443i | 0.127391 | − | 0.118201i | ||||
\(880\) | −33.8594 | + | 2.35565i | −1.14140 | + | 0.0794090i | ||||
\(881\) | 25.1866 | 0.848558 | 0.424279 | − | 0.905532i | \(-0.360528\pi\) | ||||
0.424279 | + | 0.905532i | \(0.360528\pi\) | |||||||
\(882\) | 4.43923 | + | 0.995760i | 0.149477 | + | 0.0335290i | ||||
\(883\) | 6.03599i | 0.203127i | 0.994829 | + | 0.101564i | \(0.0323846\pi\) | ||||
−0.994829 | + | 0.101564i | \(0.967615\pi\) | |||||||
\(884\) | −3.07733 | − | 8.87042i | −0.103502 | − | 0.298345i | ||||
\(885\) | 0.357684 | + | 0.385491i | 0.0120234 | + | 0.0129582i | ||||
\(886\) | −50.3412 | − | 27.9104i | −1.69125 | − | 0.937668i | ||||
\(887\) | 51.6212 | + | 15.9230i | 1.73327 | + | 0.534644i | 0.990812 | − | 0.135247i | \(-0.0431828\pi\) |
0.742460 | + | 0.669890i | \(0.233659\pi\) | |||||||
\(888\) | 18.5310 | − | 25.8966i | 0.621860 | − | 0.869033i | ||||
\(889\) | −6.19578 | + | 31.5669i | −0.207800 | + | 1.05872i | ||||
\(890\) | −14.8764 | + | 1.37497i | −0.498657 | + | 0.0460892i | ||||
\(891\) | −34.9116 | − | 2.61626i | −1.16958 | − | 0.0876481i | ||||
\(892\) | −36.3279 | + | 1.26217i | −1.21635 | + | 0.0422605i | ||||
\(893\) | −53.2616 | + | 3.99141i | −1.78233 | + | 0.133567i | ||||
\(894\) | 5.49567 | + | 22.2869i | 0.183803 | + | 0.745385i | ||||
\(895\) | −6.13576 | − | 2.95482i | −0.205096 | − | 0.0987689i | ||||
\(896\) | −24.6890 | + | 16.9249i | −0.824803 | + | 0.565420i | ||||
\(897\) | 14.1118 | − | 6.79588i | 0.471179 | − | 0.226908i | ||||
\(898\) | 1.34839 | + | 1.63188i | 0.0449965 | + | 0.0544565i | ||||
\(899\) | 0.944661 | − | 6.26742i | 0.0315062 | − | 0.209030i | ||||
\(900\) | −0.417911 | − | 1.57649i | −0.0139304 | − | 0.0525497i | ||||
\(901\) | −3.96045 | − | 2.28657i | −0.131942 | − | 0.0761767i | ||||
\(902\) | −23.1383 | − | 24.0845i | −0.770421 | − | 0.801927i | ||||
\(903\) | 0.609341 | + | 0.388688i | 0.0202776 | + | 0.0129347i | ||||
\(904\) | 0.116589 | + | 0.410867i | 0.00387768 | + | 0.0136652i | ||||
\(905\) | −8.89678 | + | 1.34097i | −0.295739 | + | 0.0445755i | ||||
\(906\) | 6.27100 | − | 6.99843i | 0.208340 | − | 0.232507i | ||||
\(907\) | −18.5598 | + | 27.2223i | −0.616269 | + | 0.903901i | −0.999807 | − | 0.0196243i | \(-0.993753\pi\) |
0.383538 | + | 0.923525i | \(0.374705\pi\) | |||||||
\(908\) | 2.66230 | − | 23.0747i | 0.0883517 | − | 0.765760i | ||||
\(909\) | 2.98968 | − | 2.38419i | 0.0991615 | − | 0.0790786i | ||||
\(910\) | −8.47873 | + | 1.69714i | −0.281067 | + | 0.0562596i | ||||
\(911\) | −5.82904 | + | 7.30938i | −0.193125 | + | 0.242171i | −0.868960 | − | 0.494882i | \(-0.835211\pi\) |
0.675836 | + | 0.737052i | \(0.263783\pi\) | |||||||
\(912\) | 30.3208 | − | 17.2905i | 1.00402 | − | 0.572545i | ||||
\(913\) | −31.8919 | − | 55.2384i | −1.05547 | − | 1.82812i | ||||
\(914\) | 0.767806 | + | 0.222312i | 0.0253968 | + | 0.00735342i | ||||
\(915\) | −13.7258 | + | 14.7929i | −0.453761 | + | 0.489038i | ||||
\(916\) | 1.74542 | + | 9.36151i | 0.0576702 | + | 0.309313i | ||||
\(917\) | 14.4016 | − | 52.3196i | 0.475584 | − | 1.72774i | ||||
\(918\) | 15.6162 | − | 23.7817i | 0.515410 | − | 0.784912i | ||||
\(919\) | 5.26005 | + | 13.4024i | 0.173513 | + | 0.442104i | 0.991003 | − | 0.133839i | \(-0.0427304\pi\) |
−0.817490 | + | 0.575943i | \(0.804635\pi\) | |||||||
\(920\) | 36.8023 | + | 12.2737i | 1.21334 | + | 0.404652i | ||||
\(921\) | 46.4228 | − | 14.3195i | 1.52968 | − | 0.471845i | ||||
\(922\) | −24.8100 | − | 5.21120i | −0.817075 | − | 0.171622i | ||||
\(923\) | −17.8990 | + | 4.08533i | −0.589153 | + | 0.134470i | ||||
\(924\) | 31.3878 | − | 24.5477i | 1.03258 | − | 0.807560i | ||||
\(925\) | −12.2195 | − | 2.78903i | −0.401775 | − | 0.0917026i | ||||
\(926\) | 13.6223 | + | 6.27115i | 0.447657 | + | 0.206083i | ||||
\(927\) | −0.607381 | + | 1.54758i | −0.0199490 | + | 0.0508292i | ||||
\(928\) | 4.21880 | + | 48.4678i | 0.138489 | + | 1.59103i | ||||
\(929\) | −31.8774 | + | 21.7336i | −1.04586 | + | 0.713057i | −0.959070 | − | 0.283170i | \(-0.908614\pi\) |
−0.0867923 | + | 0.996226i | \(0.527662\pi\) | |||||||
\(930\) | −2.95743 | − | 0.393370i | −0.0969778 | − | 0.0128991i | ||||
\(931\) | 34.7515 | − | 16.1560i | 1.13893 | − | 0.529492i | ||||
\(932\) | 46.7102 | + | 12.6497i | 1.53004 | + | 0.414356i | ||||
\(933\) | 3.85081 | + | 5.64810i | 0.126070 | + | 0.184910i | ||||
\(934\) | 9.27879 | + | 13.1143i | 0.303611 | + | 0.429113i | ||||
\(935\) | −11.3101 | + | 28.8176i | −0.369879 | + | 0.942436i | ||||
\(936\) | −1.07227 | + | 1.28368i | −0.0350482 | + | 0.0419583i | ||||
\(937\) | −12.1524 | + | 53.2433i | −0.397003 | + | 1.73938i | 0.242090 | + | 0.970254i | \(0.422167\pi\) |
−0.639093 | + | 0.769129i | \(0.720690\pi\) | |||||||
\(938\) | −4.53678 | + | 44.4794i | −0.148131 | + | 1.45230i | ||||
\(939\) | 33.8451 | − | 7.72492i | 1.10449 | − | 0.252093i | ||||
\(940\) | −33.0453 | − | 11.6622i | −1.07782 | − | 0.380379i | ||||
\(941\) | −3.80378 | − | 12.3315i | −0.124000 | − | 0.401997i | 0.872195 | − | 0.489159i | \(-0.162696\pi\) |
−0.996194 | + | 0.0871624i | \(0.972220\pi\) | |||||||
\(942\) | −0.161651 | + | 2.81142i | −0.00526688 | + | 0.0916009i | ||||
\(943\) | 13.9467 | + | 35.5356i | 0.454166 | + | 1.15720i | ||||
\(944\) | −0.609340 | + | 0.410692i | −0.0198323 | + | 0.0133669i | ||||
\(945\) | −19.7433 | − | 17.2259i | −0.642249 | − | 0.560359i | ||||
\(946\) | −1.08826 | + | 0.356493i | −0.0353824 | + | 0.0115906i | ||||
\(947\) | −27.6775 | + | 29.8293i | −0.899399 | + | 0.969322i | −0.999671 | − | 0.0256384i | \(-0.991838\pi\) |
0.100272 | + | 0.994960i | \(0.468029\pi\) | |||||||
\(948\) | −0.890662 | + | 2.02664i | −0.0289274 | + | 0.0658222i | ||||
\(949\) | −4.24198 | + | 2.44911i | −0.137701 | + | 0.0795014i | ||||
\(950\) | −10.8882 | − | 8.37793i | −0.353260 | − | 0.271816i | ||||
\(951\) | 5.52515 | − | 6.92831i | 0.179165 | − | 0.224666i | ||||
\(952\) | 4.28185 | + | 26.9641i | 0.138775 | + | 0.873910i | ||||
\(953\) | −7.57510 | − | 9.49887i | −0.245382 | − | 0.307699i | 0.643854 | − | 0.765148i | \(-0.277334\pi\) |
−0.889236 | + | 0.457450i | \(0.848763\pi\) | |||||||
\(954\) | 0.0141461 | + | 0.814552i | 0.000457996 | + | 0.0263721i | ||||
\(955\) | 9.96803 | − | 14.6204i | 0.322558 | − | 0.473105i | ||||
\(956\) | −26.7765 | − | 31.2835i | −0.866015 | − | 1.01178i | ||||
\(957\) | −9.65258 | − | 64.0407i | −0.312023 | − | 2.07014i | ||||
\(958\) | −1.58524 | − | 2.63881i | −0.0512167 | − | 0.0852559i | ||||
\(959\) | 4.89645 | − | 4.83019i | 0.158114 | − | 0.155975i | ||||
\(960\) | 22.7765 | − | 2.38169i | 0.735107 | − | 0.0768688i | ||||
\(961\) | 15.2284 | − | 26.3764i | 0.491240 | − | 0.850853i | ||||
\(962\) | 4.90312 | + | 11.8820i | 0.158083 | + | 0.383092i | ||||
\(963\) | 1.16399 | − | 7.72255i | 0.0375090 | − | 0.248856i | ||||
\(964\) | 15.3270 | + | 24.5380i | 0.493651 | + | 0.790317i | ||||
\(965\) | 0.112926 | + | 0.234493i | 0.00363521 | + | 0.00754859i | ||||
\(966\) | −43.8665 | + | 12.2516i | −1.41138 | + | 0.394190i | ||||
\(967\) | −50.9355 | − | 24.5292i | −1.63797 | − | 0.788807i | −0.999821 | − | 0.0188975i | \(-0.993984\pi\) |
−0.638153 | − | 0.769909i | \(-0.720301\pi\) | |||||||
\(968\) | −0.727010 | + | 32.0142i | −0.0233670 | + | 1.02898i | ||||
\(969\) | −2.37911 | − | 31.7470i | −0.0764279 | − | 1.01986i | ||||
\(970\) | −5.95490 | − | 35.3336i | −0.191200 | − | 1.13449i | ||||
\(971\) | 18.9618 | + | 1.42099i | 0.608515 | + | 0.0456019i | 0.375424 | − | 0.926853i | \(-0.377497\pi\) |
0.233091 | + | 0.972455i | \(0.425116\pi\) | |||||||
\(972\) | −9.45568 | − | 0.379092i | −0.303291 | − | 0.0121594i | ||||
\(973\) | 27.3557 | − | 23.2190i | 0.876983 | − | 0.744368i | ||||
\(974\) | −9.34438 | + | 25.0812i | −0.299413 | + | 0.803654i | ||||
\(975\) | −3.47747 | − | 1.07266i | −0.111368 | − | 0.0343526i | ||||
\(976\) | −17.4633 | − | 22.1398i | −0.558986 | − | 0.708677i | ||||
\(977\) | −2.01770 | + | 1.87215i | −0.0645518 | + | 0.0598953i | −0.711789 | − | 0.702393i | \(-0.752115\pi\) |
0.647237 | + | 0.762289i | \(0.275924\pi\) | |||||||
\(978\) | 26.1362 | − | 13.1504i | 0.835743 | − | 0.420503i | ||||
\(979\) | 27.7900i | 0.888171i | ||||||||
\(980\) | 25.1383 | − | 0.530686i | 0.803013 | − | 0.0169522i | ||||
\(981\) | − | 2.46520i | − | 0.0787079i | ||||||
\(982\) | 17.4061 | + | 34.5943i | 0.555451 | + | 1.10395i | ||||
\(983\) | 32.8320 | − | 30.4636i | 1.04718 | − | 0.971639i | 0.0475488 | − | 0.998869i | \(-0.484859\pi\) |
0.999629 | + | 0.0272298i | \(0.00866857\pi\) | |||||||
\(984\) | 16.1666 | + | 15.6983i | 0.515372 | + | 0.500444i | ||||
\(985\) | −8.08457 | − | 2.49376i | −0.257596 | − | 0.0794578i | ||||
\(986\) | 41.5821 | + | 15.4921i | 1.32425 | + | 0.493367i | ||||
\(987\) | 39.8100 | − | 10.3770i | 1.26717 | − | 0.330303i | ||||
\(988\) | −0.564406 | + | 14.0780i | −0.0179561 | + | 0.447880i | ||||
\(989\) | 1.30527 | + | 0.0978161i | 0.0415050 | + | 0.00311037i | ||||
\(990\) | 5.43820 | − | 0.916520i | 0.172837 | − | 0.0291289i | ||||
\(991\) | −1.99837 | − | 26.6665i | −0.0634805 | − | 0.847088i | −0.934528 | − | 0.355889i | \(-0.884178\pi\) |
0.871048 | − | 0.491199i | \(-0.163441\pi\) | |||||||
\(992\) | 1.18082 | − | 3.99820i | 0.0374911 | − | 0.126943i | ||||
\(993\) | 14.1883 | + | 6.83273i | 0.450253 | + | 0.216830i | ||||
\(994\) | 53.3247 | − | 2.55908i | 1.69136 | − | 0.0811690i | ||||
\(995\) | 4.81004 | + | 9.98816i | 0.152489 | + | 0.316646i | ||||
\(996\) | 22.7991 | + | 36.5005i | 0.722416 | + | 1.15656i | ||||
\(997\) | −3.78826 | + | 25.1335i | −0.119975 | + | 0.795985i | 0.845213 | + | 0.534429i | \(0.179473\pi\) |
−0.965189 | + | 0.261555i | \(0.915765\pi\) | |||||||
\(998\) | −20.9038 | + | 8.62598i | −0.661700 | + | 0.273051i | ||||
\(999\) | −19.4748 | + | 33.7314i | −0.616156 | + | 1.06721i |
(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 | 392.2.z.a.37.8 | ✓ | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.37.14 | yes | 648 | |
49.4 | even | 21 | inner | 392.2.z.a.53.14 | yes | 648 | |
392.53 | even | 42 | inner | 392.2.z.a.53.8 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.37.8 | ✓ | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.37.14 | yes | 648 | 8.5 | even | 2 | inner | |
392.2.z.a.53.8 | yes | 648 | 392.53 | even | 42 | inner | |
392.2.z.a.53.14 | yes | 648 | 49.4 | even | 21 | inner |