Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 163.4 | ||
Character | \(\chi\) | \(=\) | 483.163 |
Dual form | 483.2.y.a.403.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.59365 | + | 0.821585i | −1.12688 | + | 0.580948i | −0.917837 | − | 0.396957i | \(-0.870066\pi\) |
−0.209046 | + | 0.977906i | \(0.567036\pi\) | |||||||
\(3\) | 0.786053 | − | 0.618159i | 0.453828 | − | 0.356894i | ||||
\(4\) | 0.704613 | − | 0.989491i | 0.352307 | − | 0.494746i | ||||
\(5\) | −2.75786 | + | 2.62961i | −1.23335 | + | 1.17600i | −0.255474 | + | 0.966816i | \(0.582232\pi\) |
−0.977877 | + | 0.209182i | \(0.932920\pi\) | |||||||
\(6\) | −0.744826 | + | 1.63094i | −0.304074 | + | 0.665829i | ||||
\(7\) | 1.28151 | − | 2.31468i | 0.484365 | − | 0.874866i | ||||
\(8\) | 0.200374 | − | 1.39363i | 0.0708428 | − | 0.492722i | ||||
\(9\) | 0.235759 | − | 0.971812i | 0.0785863 | − | 0.323937i | ||||
\(10\) | 2.23462 | − | 6.45650i | 0.706648 | − | 2.04172i | ||||
\(11\) | 2.74064 | + | 1.41290i | 0.826333 | + | 0.426004i | 0.818878 | − | 0.573968i | \(-0.194597\pi\) |
0.00745518 | + | 0.999972i | \(0.497627\pi\) | |||||||
\(12\) | −0.0577993 | − | 1.21336i | −0.0166852 | − | 0.350266i | ||||
\(13\) | 3.50975 | + | 4.05047i | 0.973430 | + | 1.12340i | 0.992335 | + | 0.123577i | \(0.0394365\pi\) |
−0.0189052 | + | 0.999821i | \(0.506018\pi\) | |||||||
\(14\) | −0.140577 | + | 4.74166i | −0.0375707 | + | 1.26726i | ||||
\(15\) | −0.542304 | + | 3.77181i | −0.140022 | + | 0.973877i | ||||
\(16\) | 1.62026 | + | 4.68143i | 0.405065 | + | 1.17036i | ||||
\(17\) | −4.57622 | + | 0.436976i | −1.10990 | + | 0.105982i | −0.633863 | − | 0.773445i | \(-0.718532\pi\) |
−0.476033 | + | 0.879428i | \(0.657926\pi\) | |||||||
\(18\) | 0.422708 | + | 1.74243i | 0.0996332 | + | 0.410694i | ||||
\(19\) | −2.44272 | − | 0.233251i | −0.560398 | − | 0.0535115i | −0.188986 | − | 0.981980i | \(-0.560520\pi\) |
−0.371412 | + | 0.928468i | \(0.621126\pi\) | |||||||
\(20\) | 0.658754 | + | 4.58173i | 0.147302 | + | 1.02451i | ||||
\(21\) | −0.423504 | − | 2.61164i | −0.0924162 | − | 0.569906i | ||||
\(22\) | −5.52844 | −1.17867 | ||||||||
\(23\) | 0.0120486 | + | 4.79582i | 0.00251231 | + | 0.999997i | ||||
\(24\) | −0.703980 | − | 1.21933i | −0.143699 | − | 0.248895i | ||||
\(25\) | 0.453010 | − | 9.50984i | 0.0906019 | − | 1.90197i | ||||
\(26\) | −8.92113 | − | 3.57148i | −1.74958 | − | 0.700425i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | −1.38738 | − | 2.89900i | −0.262191 | − | 0.547859i | ||||
\(29\) | −2.52742 | + | 5.53428i | −0.469330 | + | 1.02769i | 0.515931 | + | 0.856630i | \(0.327446\pi\) |
−0.985261 | + | 0.171059i | \(0.945281\pi\) | |||||||
\(30\) | −2.23462 | − | 6.45650i | −0.407983 | − | 1.17879i | ||||
\(31\) | −7.11480 | + | 2.84834i | −1.27786 | + | 0.511576i | −0.908567 | − | 0.417738i | \(-0.862823\pi\) |
−0.369289 | + | 0.929315i | \(0.620399\pi\) | |||||||
\(32\) | −4.39035 | − | 4.18619i | −0.776111 | − | 0.740020i | ||||
\(33\) | 3.02768 | − | 0.583538i | 0.527051 | − | 0.101581i | ||||
\(34\) | 6.93389 | − | 4.45614i | 1.18915 | − | 0.764222i | ||||
\(35\) | 2.55248 | + | 9.75342i | 0.431448 | + | 1.64863i | ||||
\(36\) | −0.795480 | − | 0.918033i | −0.132580 | − | 0.153005i | ||||
\(37\) | −1.38229 | + | 5.69789i | −0.227248 | + | 0.936728i | 0.737877 | + | 0.674936i | \(0.235829\pi\) |
−0.965124 | + | 0.261792i | \(0.915686\pi\) | |||||||
\(38\) | 4.08448 | − | 1.63518i | 0.662591 | − | 0.265261i | ||||
\(39\) | 5.26268 | + | 1.01430i | 0.842704 | + | 0.162418i | ||||
\(40\) | 3.11210 | + | 4.37034i | 0.492067 | + | 0.691011i | ||||
\(41\) | −1.60565 | − | 0.471460i | −0.250760 | − | 0.0736297i | 0.153937 | − | 0.988081i | \(-0.450805\pi\) |
−0.404697 | + | 0.914451i | \(0.632623\pi\) | |||||||
\(42\) | 2.82060 | + | 3.81410i | 0.435228 | + | 0.588528i | ||||
\(43\) | 0.888338 | + | 6.17852i | 0.135470 | + | 0.942216i | 0.938254 | + | 0.345946i | \(0.112442\pi\) |
−0.802784 | + | 0.596270i | \(0.796649\pi\) | |||||||
\(44\) | 3.32914 | − | 1.71629i | 0.501886 | − | 0.258740i | ||||
\(45\) | 1.90530 | + | 3.30007i | 0.284025 | + | 0.491946i | ||||
\(46\) | −3.95937 | − | 7.63297i | −0.583778 | − | 1.12542i | ||||
\(47\) | 4.89353 | − | 8.47585i | 0.713795 | − | 1.23633i | −0.249627 | − | 0.968342i | \(-0.580308\pi\) |
0.963422 | − | 0.267988i | \(-0.0863586\pi\) | |||||||
\(48\) | 4.16748 | + | 2.67828i | 0.601524 | + | 0.386576i | ||||
\(49\) | −3.71547 | − | 5.93256i | −0.530781 | − | 0.847509i | ||||
\(50\) | 7.09121 | + | 15.5276i | 1.00285 | + | 2.19593i | ||||
\(51\) | −3.32703 | + | 3.17232i | −0.465877 | + | 0.444213i | ||||
\(52\) | 6.48092 | − | 0.618853i | 0.898742 | − | 0.0858195i | ||||
\(53\) | 5.32588 | + | 1.02648i | 0.731566 | + | 0.140998i | 0.541413 | − | 0.840757i | \(-0.317890\pi\) |
0.190153 | + | 0.981755i | \(0.439102\pi\) | |||||||
\(54\) | 1.40937 | + | 1.10834i | 0.191791 | + | 0.150826i | ||||
\(55\) | −11.2736 | + | 3.31024i | −1.52014 | + | 0.446353i | ||||
\(56\) | −2.96902 | − | 2.24975i | −0.396752 | − | 0.300636i | ||||
\(57\) | −2.06429 | + | 1.32664i | −0.273422 | + | 0.175718i | ||||
\(58\) | −0.519050 | − | 10.8962i | −0.0681546 | − | 1.43074i | ||||
\(59\) | −3.12905 | + | 9.04078i | −0.407367 | + | 1.17701i | 0.535700 | + | 0.844408i | \(0.320048\pi\) |
−0.943067 | + | 0.332602i | \(0.892074\pi\) | |||||||
\(60\) | 3.35006 | + | 3.19427i | 0.432490 | + | 0.412379i | ||||
\(61\) | −4.22019 | − | 3.31880i | −0.540340 | − | 0.424928i | 0.310329 | − | 0.950629i | \(-0.399561\pi\) |
−0.850670 | + | 0.525701i | \(0.823803\pi\) | |||||||
\(62\) | 8.99837 | − | 10.3847i | 1.14279 | − | 1.31885i | ||||
\(63\) | −1.94730 | − | 1.79109i | −0.245337 | − | 0.225656i | ||||
\(64\) | 0.929549 | + | 0.272940i | 0.116194 | + | 0.0341175i | ||||
\(65\) | −20.3305 | − | 1.94133i | −2.52169 | − | 0.240793i | ||||
\(66\) | −4.34565 | + | 3.41745i | −0.534912 | + | 0.420659i | ||||
\(67\) | −0.774829 | + | 16.2657i | −0.0946604 | + | 1.98717i | 0.0552767 | + | 0.998471i | \(0.482396\pi\) |
−0.149937 | + | 0.988696i | \(0.547907\pi\) | |||||||
\(68\) | −2.79208 | + | 4.83603i | −0.338589 | + | 0.586454i | ||||
\(69\) | 2.97405 | + | 3.76232i | 0.358033 | + | 0.452930i | ||||
\(70\) | −12.0810 | − | 13.4465i | −1.44396 | − | 1.60716i | ||||
\(71\) | 8.02764 | + | 5.15905i | 0.952705 | + | 0.612267i | 0.921970 | − | 0.387261i | \(-0.126579\pi\) |
0.0307353 | + | 0.999528i | \(0.490215\pi\) | |||||||
\(72\) | −1.30711 | − | 0.523286i | −0.154044 | − | 0.0616699i | ||||
\(73\) | 5.11865 | − | 7.18814i | 0.599093 | − | 0.841308i | −0.398010 | − | 0.917381i | \(-0.630299\pi\) |
0.997102 | + | 0.0760733i | \(0.0242383\pi\) | |||||||
\(74\) | −2.47841 | − | 10.2161i | −0.288109 | − | 1.18760i | ||||
\(75\) | −5.52251 | − | 7.75527i | −0.637684 | − | 0.895502i | ||||
\(76\) | −1.95197 | + | 2.25270i | −0.223907 | + | 0.258402i | ||||
\(77\) | 6.78255 | − | 4.53305i | 0.772943 | − | 0.516589i | ||||
\(78\) | −9.22023 | + | 2.70730i | −1.04398 | + | 0.306542i | ||||
\(79\) | 4.19620 | − | 0.808752i | 0.472110 | − | 0.0909917i | 0.0523537 | − | 0.998629i | \(-0.483328\pi\) |
0.419756 | + | 0.907637i | \(0.362116\pi\) | |||||||
\(80\) | −16.7788 | − | 8.65006i | −1.87592 | − | 0.967107i | ||||
\(81\) | −0.888835 | − | 0.458227i | −0.0987595 | − | 0.0509141i | ||||
\(82\) | 2.94619 | − | 0.567831i | 0.325352 | − | 0.0627064i | ||||
\(83\) | −4.43446 | + | 1.30208i | −0.486745 | + | 0.142921i | −0.515892 | − | 0.856654i | \(-0.672539\pi\) |
0.0291463 | + | 0.999575i | \(0.490721\pi\) | |||||||
\(84\) | −2.88260 | − | 1.42114i | −0.314517 | − | 0.155059i | ||||
\(85\) | 11.4715 | − | 13.2388i | 1.24426 | − | 1.43595i | ||||
\(86\) | −6.49188 | − | 9.11658i | −0.700038 | − | 0.983066i | ||||
\(87\) | 1.43438 | + | 5.91258i | 0.153781 | + | 0.633895i | ||||
\(88\) | 2.51821 | − | 3.53632i | 0.268442 | − | 0.376973i | ||||
\(89\) | 2.94255 | + | 1.17802i | 0.311910 | + | 0.124870i | 0.522336 | − | 0.852740i | \(-0.325061\pi\) |
−0.210426 | + | 0.977610i | \(0.567485\pi\) | |||||||
\(90\) | −5.74767 | − | 3.69380i | −0.605858 | − | 0.389361i | ||||
\(91\) | 13.8733 | − | 2.93323i | 1.45432 | − | 0.307486i | ||||
\(92\) | 4.75391 | + | 3.36727i | 0.495629 | + | 0.351063i | ||||
\(93\) | −3.83189 | + | 6.63702i | −0.397348 | + | 0.688227i | ||||
\(94\) | −0.834962 | + | 17.5280i | −0.0861198 | + | 1.80788i | ||||
\(95\) | 7.35003 | − | 5.78013i | 0.754097 | − | 0.593029i | ||||
\(96\) | −6.03877 | − | 0.576633i | −0.616330 | − | 0.0588524i | ||||
\(97\) | −1.13554 | − | 0.333426i | −0.115297 | − | 0.0338542i | 0.223575 | − | 0.974687i | \(-0.428227\pi\) |
−0.338872 | + | 0.940832i | \(0.610045\pi\) | |||||||
\(98\) | 10.7953 | + | 6.40188i | 1.09049 | + | 0.646687i | ||||
\(99\) | 2.01920 | − | 2.33028i | 0.202937 | − | 0.234202i | ||||
\(100\) | −9.09071 | − | 7.14901i | −0.909071 | − | 0.714901i | ||||
\(101\) | 0.765108 | + | 0.729529i | 0.0761311 | + | 0.0725908i | 0.727189 | − | 0.686437i | \(-0.240826\pi\) |
−0.651058 | + | 0.759028i | \(0.725675\pi\) | |||||||
\(102\) | 2.69580 | − | 7.78901i | 0.266924 | − | 0.771227i | ||||
\(103\) | 0.860560 | + | 18.0654i | 0.0847935 | + | 1.78004i | 0.495833 | + | 0.868418i | \(0.334863\pi\) |
−0.411040 | + | 0.911617i | \(0.634834\pi\) | |||||||
\(104\) | 6.34812 | − | 4.07969i | 0.622484 | − | 0.400046i | ||||
\(105\) | 8.03555 | + | 6.08887i | 0.784190 | + | 0.594213i | ||||
\(106\) | −9.33094 | + | 2.73981i | −0.906301 | + | 0.266114i | ||||
\(107\) | −0.660972 | − | 0.519794i | −0.0638986 | − | 0.0502504i | 0.585699 | − | 0.810529i | \(-0.300820\pi\) |
−0.649597 | + | 0.760278i | \(0.725063\pi\) | |||||||
\(108\) | −1.19278 | − | 0.229889i | −0.114775 | − | 0.0221211i | ||||
\(109\) | 16.0138 | − | 1.52913i | 1.53384 | − | 0.146464i | 0.706318 | − | 0.707894i | \(-0.250355\pi\) |
0.827524 | + | 0.561430i | \(0.189749\pi\) | |||||||
\(110\) | 15.2466 | − | 14.5376i | 1.45371 | − | 1.38611i | ||||
\(111\) | 2.43565 | + | 5.33332i | 0.231181 | + | 0.506217i | ||||
\(112\) | 12.9124 | + | 2.24892i | 1.22011 | + | 0.212503i | ||||
\(113\) | −3.01069 | − | 1.93485i | −0.283222 | − | 0.182016i | 0.391315 | − | 0.920257i | \(-0.372020\pi\) |
−0.674537 | + | 0.738241i | \(0.735657\pi\) | |||||||
\(114\) | 2.19982 | − | 3.81020i | 0.206032 | − | 0.356858i | ||||
\(115\) | −12.6444 | − | 13.1945i | −1.17909 | − | 1.23039i | ||||
\(116\) | 3.69526 | + | 6.40038i | 0.343097 | + | 0.594261i | ||||
\(117\) | 4.76375 | − | 2.45588i | 0.440409 | − | 0.227046i | ||||
\(118\) | −2.44116 | − | 16.9786i | −0.224727 | − | 1.56301i | ||||
\(119\) | −4.85301 | + | 11.1525i | −0.444875 | + | 1.02234i | ||||
\(120\) | 5.14784 | + | 1.51154i | 0.469931 | + | 0.137984i | ||||
\(121\) | −0.865815 | − | 1.21587i | −0.0787104 | − | 0.110533i | ||||
\(122\) | 9.45220 | + | 1.82176i | 0.855762 | + | 0.164935i | ||||
\(123\) | −1.55356 | + | 0.621952i | −0.140080 | + | 0.0560795i | ||||
\(124\) | −2.19478 | + | 9.04701i | −0.197097 | + | 0.812445i | ||||
\(125\) | 11.2808 | + | 13.0188i | 1.00899 | + | 1.16443i | ||||
\(126\) | 4.57486 | + | 1.25450i | 0.407561 | + | 0.111760i | ||||
\(127\) | 6.43752 | − | 4.13715i | 0.571238 | − | 0.367112i | −0.222908 | − | 0.974839i | \(-0.571555\pi\) |
0.794146 | + | 0.607727i | \(0.207919\pi\) | |||||||
\(128\) | 10.2076 | − | 1.96736i | 0.902234 | − | 0.173891i | ||||
\(129\) | 4.51759 | + | 4.30751i | 0.397752 | + | 0.379255i | ||||
\(130\) | 33.9948 | − | 13.6095i | 2.98154 | − | 1.19363i | ||||
\(131\) | −1.08105 | − | 3.12349i | −0.0944517 | − | 0.272900i | 0.887872 | − | 0.460091i | \(-0.152183\pi\) |
−0.982324 | + | 0.187190i | \(0.940062\pi\) | |||||||
\(132\) | 1.55594 | − | 3.40703i | 0.135427 | − | 0.296544i | ||||
\(133\) | −3.67027 | + | 5.35519i | −0.318253 | + | 0.464354i | ||||
\(134\) | −12.1288 | − | 26.5584i | −1.04777 | − | 2.29430i | ||||
\(135\) | 3.53763 | + | 1.41625i | 0.304471 | + | 0.121892i | ||||
\(136\) | −0.307971 | + | 6.46511i | −0.0264083 | + | 0.554379i | ||||
\(137\) | −5.15694 | − | 8.93209i | −0.440587 | − | 0.763120i | 0.557146 | − | 0.830415i | \(-0.311896\pi\) |
−0.997733 | + | 0.0672950i | \(0.978563\pi\) | |||||||
\(138\) | −7.83066 | − | 3.55240i | −0.666590 | − | 0.302400i | ||||
\(139\) | −2.98890 | −0.253515 | −0.126757 | − | 0.991934i | \(-0.540457\pi\) | ||||
−0.126757 | + | 0.991934i | \(0.540457\pi\) | |||||||
\(140\) | 11.4494 | + | 4.34673i | 0.967654 | + | 0.367366i | ||||
\(141\) | −1.39284 | − | 9.68745i | −0.117299 | − | 0.815830i | ||||
\(142\) | −17.0319 | − | 1.62635i | −1.42928 | − | 0.136480i | ||||
\(143\) | 3.89606 | + | 16.0598i | 0.325805 | + | 1.34299i | ||||
\(144\) | 4.93146 | − | 0.470897i | 0.410955 | − | 0.0392414i | ||||
\(145\) | −7.58273 | − | 21.9089i | −0.629712 | − | 1.81943i | ||||
\(146\) | −2.25168 | + | 15.6608i | −0.186351 | + | 1.29610i | ||||
\(147\) | −6.58782 | − | 2.36656i | −0.543354 | − | 0.195191i | ||||
\(148\) | 4.66403 | + | 5.38258i | 0.383381 | + | 0.442445i | ||||
\(149\) | −0.699900 | − | 14.6927i | −0.0573380 | − | 1.20367i | −0.825870 | − | 0.563861i | \(-0.809315\pi\) |
0.768532 | − | 0.639812i | \(-0.220988\pi\) | |||||||
\(150\) | 15.1726 | + | 7.82201i | 1.23884 | + | 0.638664i | ||||
\(151\) | 3.35208 | − | 9.68519i | 0.272788 | − | 0.788170i | −0.722514 | − | 0.691356i | \(-0.757014\pi\) |
0.995303 | − | 0.0968138i | \(-0.0308651\pi\) | |||||||
\(152\) | −0.814523 | + | 3.35751i | −0.0660665 | + | 0.272330i | ||||
\(153\) | −0.654226 | + | 4.55024i | −0.0528910 | + | 0.367865i | ||||
\(154\) | −7.08475 | + | 12.7966i | −0.570905 | + | 1.03118i | ||||
\(155\) | 12.1316 | − | 26.5645i | 0.974432 | − | 2.13371i | ||||
\(156\) | 4.71180 | − | 4.49269i | 0.377246 | − | 0.359703i | ||||
\(157\) | −2.67548 | + | 3.75719i | −0.213527 | + | 0.299856i | −0.907423 | − | 0.420219i | \(-0.861953\pi\) |
0.693896 | + | 0.720075i | \(0.255893\pi\) | |||||||
\(158\) | −6.02283 | + | 4.73641i | −0.479151 | + | 0.376809i | ||||
\(159\) | 4.82095 | − | 2.48537i | 0.382326 | − | 0.197103i | ||||
\(160\) | 23.1160 | 1.82748 | ||||||||
\(161\) | 11.1162 | + | 6.11800i | 0.876080 | + | 0.482166i | ||||
\(162\) | 1.79297 | 0.140869 | ||||||||
\(163\) | 5.26237 | − | 2.71294i | 0.412181 | − | 0.212494i | −0.239648 | − | 0.970860i | \(-0.577032\pi\) |
0.651829 | + | 0.758366i | \(0.274002\pi\) | |||||||
\(164\) | −1.59787 | + | 1.25658i | −0.124772 | + | 0.0981220i | ||||
\(165\) | −6.81543 | + | 9.57093i | −0.530581 | + | 0.745096i | ||||
\(166\) | 5.99723 | − | 5.71834i | 0.465475 | − | 0.443830i | ||||
\(167\) | 9.28996 | − | 20.3422i | 0.718878 | − | 1.57412i | −0.0965913 | − | 0.995324i | \(-0.530794\pi\) |
0.815470 | − | 0.578800i | \(-0.196479\pi\) | |||||||
\(168\) | −3.72451 | + | 0.0669048i | −0.287352 | + | 0.00516182i | ||||
\(169\) | −2.23785 | + | 15.5646i | −0.172142 | + | 1.19728i | ||||
\(170\) | −7.40476 | + | 30.5228i | −0.567919 | + | 2.34099i | ||||
\(171\) | −0.802569 | + | 2.31887i | −0.0613740 | + | 0.177329i | ||||
\(172\) | 6.73953 | + | 3.47447i | 0.513884 | + | 0.264926i | ||||
\(173\) | 0.694616 | + | 14.5818i | 0.0528106 | + | 1.10863i | 0.857350 | + | 0.514733i | \(0.172109\pi\) |
−0.804540 | + | 0.593899i | \(0.797588\pi\) | |||||||
\(174\) | −7.14359 | − | 8.24414i | −0.541554 | − | 0.624987i | ||||
\(175\) | −21.4317 | − | 13.2355i | −1.62008 | − | 1.00051i | ||||
\(176\) | −2.17384 | + | 15.1194i | −0.163859 | + | 1.13966i | ||||
\(177\) | 3.12905 | + | 9.04078i | 0.235193 | + | 0.679547i | ||||
\(178\) | −5.65724 | + | 0.540201i | −0.424028 | + | 0.0404898i | ||||
\(179\) | −4.56456 | − | 18.8154i | −0.341171 | − | 1.40633i | −0.841391 | − | 0.540427i | \(-0.818263\pi\) |
0.500220 | − | 0.865898i | \(-0.333252\pi\) | |||||||
\(180\) | 4.60789 | + | 0.440000i | 0.343452 | + | 0.0327957i | ||||
\(181\) | 0.407499 | + | 2.83422i | 0.0302891 | + | 0.210666i | 0.999346 | − | 0.0361739i | \(-0.0115170\pi\) |
−0.969056 | + | 0.246840i | \(0.920608\pi\) | |||||||
\(182\) | −19.6993 | + | 16.0727i | −1.46021 | + | 1.19138i | ||||
\(183\) | −5.36884 | −0.396876 | ||||||||
\(184\) | 6.68601 | + | 0.944164i | 0.492899 | + | 0.0696047i | ||||
\(185\) | −11.1711 | − | 19.3489i | −0.821314 | − | 1.42256i | ||||
\(186\) | 0.653818 | − | 13.7253i | 0.0479403 | − | 1.00639i | ||||
\(187\) | −13.1591 | − | 5.26813i | −0.962292 | − | 0.385244i | ||||
\(188\) | −4.93873 | − | 10.8143i | −0.360194 | − | 0.788714i | ||||
\(189\) | −2.63786 | − | 0.204150i | −0.191876 | − | 0.0148498i | ||||
\(190\) | −6.96453 | + | 15.2502i | −0.505260 | + | 1.10637i | ||||
\(191\) | −2.56634 | − | 7.41495i | −0.185694 | − | 0.536527i | 0.813277 | − | 0.581876i | \(-0.197681\pi\) |
−0.998971 | + | 0.0453492i | \(0.985560\pi\) | |||||||
\(192\) | 0.899396 | − | 0.360064i | 0.0649083 | − | 0.0259854i | ||||
\(193\) | 14.1959 | + | 13.5358i | 1.02184 | + | 0.974327i | 0.999677 | − | 0.0254277i | \(-0.00809475\pi\) |
0.0221677 | + | 0.999754i | \(0.492943\pi\) | |||||||
\(194\) | 2.08360 | − | 0.401581i | 0.149594 | − | 0.0288318i | ||||
\(195\) | −17.1809 | + | 11.0415i | −1.23035 | + | 0.790700i | ||||
\(196\) | −8.48819 | − | 0.503744i | −0.606299 | − | 0.0359817i | ||||
\(197\) | −6.39528 | − | 7.38055i | −0.455645 | − | 0.525842i | 0.480718 | − | 0.876875i | \(-0.340376\pi\) |
−0.936363 | + | 0.351033i | \(0.885830\pi\) | |||||||
\(198\) | −1.30338 | + | 5.37260i | −0.0926271 | + | 0.381814i | ||||
\(199\) | −17.1527 | + | 6.86691i | −1.21592 | + | 0.486783i | −0.888842 | − | 0.458213i | \(-0.848490\pi\) |
−0.327082 | + | 0.944996i | \(0.606065\pi\) | |||||||
\(200\) | −13.1624 | − | 2.53685i | −0.930724 | − | 0.179382i | ||||
\(201\) | 9.44571 | + | 13.2646i | 0.666249 | + | 0.935616i | ||||
\(202\) | −1.81869 | − | 0.534015i | −0.127962 | − | 0.0375731i | ||||
\(203\) | 9.57115 | + | 12.9424i | 0.671763 | + | 0.908378i | ||||
\(204\) | 0.794709 | + | 5.52732i | 0.0556408 | + | 0.386990i | ||||
\(205\) | 5.66790 | − | 2.92200i | 0.395863 | − | 0.204082i | ||||
\(206\) | −16.2137 | − | 28.0829i | −1.12966 | − | 1.95663i | ||||
\(207\) | 4.66347 | + | 1.11895i | 0.324134 | + | 0.0777722i | ||||
\(208\) | −13.2753 | + | 22.9935i | −0.920475 | + | 1.59431i | ||||
\(209\) | −6.36504 | − | 4.09057i | −0.440279 | − | 0.282950i | ||||
\(210\) | −17.8084 | − | 3.10165i | −1.22890 | − | 0.214034i | ||||
\(211\) | −0.259082 | − | 0.567311i | −0.0178360 | − | 0.0390553i | 0.900504 | − | 0.434847i | \(-0.143198\pi\) |
−0.918340 | + | 0.395792i | \(0.870470\pi\) | |||||||
\(212\) | 4.76838 | − | 4.54664i | 0.327493 | − | 0.312264i | ||||
\(213\) | 9.49926 | − | 0.907070i | 0.650879 | − | 0.0621514i | ||||
\(214\) | 1.48041 | + | 0.285327i | 0.101199 | + | 0.0195045i | ||||
\(215\) | −18.6970 | − | 14.7035i | −1.27513 | − | 1.00277i | ||||
\(216\) | −1.35093 | + | 0.396668i | −0.0919190 | + | 0.0269899i | ||||
\(217\) | −2.52470 | + | 20.1186i | −0.171388 | + | 1.36574i | ||||
\(218\) | −24.2641 | + | 15.5936i | −1.64337 | + | 1.05613i | ||||
\(219\) | −0.419882 | − | 8.81440i | −0.0283730 | − | 0.595622i | ||||
\(220\) | −4.66811 | + | 13.4876i | −0.314724 | + | 0.909335i | ||||
\(221\) | −17.8313 | − | 17.0022i | −1.19947 | − | 1.14369i | ||||
\(222\) | −8.26336 | − | 6.49838i | −0.554600 | − | 0.436142i | ||||
\(223\) | −6.93865 | + | 8.00763i | −0.464647 | + | 0.536231i | −0.938915 | − | 0.344150i | \(-0.888167\pi\) |
0.474268 | + | 0.880380i | \(0.342713\pi\) | |||||||
\(224\) | −15.3159 | + | 4.79760i | −1.02334 | + | 0.320553i | ||||
\(225\) | −9.13498 | − | 2.68227i | −0.608998 | − | 0.178818i | ||||
\(226\) | 6.38764 | + | 0.609945i | 0.424899 | + | 0.0405730i | ||||
\(227\) | −4.30708 | + | 3.38713i | −0.285871 | + | 0.224812i | −0.750789 | − | 0.660542i | \(-0.770326\pi\) |
0.464918 | + | 0.885354i | \(0.346084\pi\) | |||||||
\(228\) | −0.141830 | + | 2.97737i | −0.00939289 | + | 0.197181i | ||||
\(229\) | 5.49000 | − | 9.50896i | 0.362790 | − | 0.628370i | −0.625629 | − | 0.780121i | \(-0.715158\pi\) |
0.988419 | + | 0.151751i | \(0.0484910\pi\) | |||||||
\(230\) | 30.9911 | + | 10.6390i | 2.04349 | + | 0.701516i | ||||
\(231\) | 2.52930 | − | 7.75591i | 0.166416 | − | 0.510302i | ||||
\(232\) | 7.20630 | + | 4.63121i | 0.473117 | + | 0.304054i | ||||
\(233\) | 17.7574 | + | 7.10898i | 1.16332 | + | 0.465725i | 0.871331 | − | 0.490696i | \(-0.163257\pi\) |
0.291993 | + | 0.956421i | \(0.405682\pi\) | |||||||
\(234\) | −5.57404 | + | 7.82765i | −0.364387 | + | 0.511709i | ||||
\(235\) | 8.79252 | + | 36.2433i | 0.573561 | + | 2.36425i | ||||
\(236\) | 6.74101 | + | 9.46642i | 0.438802 | + | 0.616211i | ||||
\(237\) | 2.79850 | − | 3.22964i | 0.181782 | − | 0.209788i | ||||
\(238\) | −1.42868 | − | 21.7603i | −0.0926077 | − | 1.41051i | ||||
\(239\) | 4.96563 | − | 1.45804i | 0.321200 | − | 0.0943127i | −0.117158 | − | 0.993113i | \(-0.537378\pi\) |
0.438358 | + | 0.898801i | \(0.355560\pi\) | |||||||
\(240\) | −18.5361 | + | 3.57255i | −1.19650 | + | 0.230607i | ||||
\(241\) | −15.7780 | − | 8.13411i | −1.01635 | − | 0.523964i | −0.132226 | − | 0.991220i | \(-0.542213\pi\) |
−0.884122 | + | 0.467255i | \(0.845243\pi\) | |||||||
\(242\) | 2.37875 | + | 1.22633i | 0.152912 | + | 0.0788314i | ||||
\(243\) | −0.981929 | + | 0.189251i | −0.0629908 | + | 0.0121405i | ||||
\(244\) | −6.25752 | + | 1.83737i | −0.400597 | + | 0.117626i | ||||
\(245\) | 25.8471 | + | 6.59093i | 1.65131 | + | 0.421079i | ||||
\(246\) | 1.96485 | − | 2.26756i | 0.125274 | − | 0.144574i | ||||
\(247\) | −7.62856 | − | 10.7128i | −0.485394 | − | 0.681640i | ||||
\(248\) | 2.54391 | + | 10.4861i | 0.161538 | + | 0.665870i | ||||
\(249\) | −2.68083 | + | 3.76470i | −0.169891 | + | 0.238578i | ||||
\(250\) | −28.6737 | − | 11.4792i | −1.81348 | − | 0.726010i | ||||
\(251\) | −0.440159 | − | 0.282873i | −0.0277826 | − | 0.0178548i | 0.526676 | − | 0.850066i | \(-0.323438\pi\) |
−0.554458 | + | 0.832211i | \(0.687075\pi\) | |||||||
\(252\) | −3.14437 | + | 0.664812i | −0.198076 | + | 0.0418792i | ||||
\(253\) | −6.74297 | + | 13.1606i | −0.423927 | + | 0.827401i | ||||
\(254\) | −6.86016 | + | 11.8821i | −0.430445 | + | 0.745552i | ||||
\(255\) | 0.833513 | − | 17.4976i | 0.0521966 | − | 1.09574i | ||||
\(256\) | −16.1741 | + | 12.7194i | −1.01088 | + | 0.794965i | ||||
\(257\) | 22.8676 | + | 2.18359i | 1.42644 | + | 0.136209i | 0.779534 | − | 0.626360i | \(-0.215456\pi\) |
0.646907 | + | 0.762569i | \(0.276062\pi\) | |||||||
\(258\) | −10.7385 | − | 3.15310i | −0.668547 | − | 0.196303i | ||||
\(259\) | 11.4174 | + | 10.5015i | 0.709441 | + | 0.652530i | ||||
\(260\) | −16.2461 | + | 18.7490i | −1.00754 | + | 1.16276i | ||||
\(261\) | 4.78241 | + | 3.76093i | 0.296024 | + | 0.232796i | ||||
\(262\) | 4.28903 | + | 4.08958i | 0.264977 | + | 0.252655i | ||||
\(263\) | −2.85206 | + | 8.24047i | −0.175865 | + | 0.508129i | −0.998140 | − | 0.0609612i | \(-0.980583\pi\) |
0.822275 | + | 0.569091i | \(0.192705\pi\) | |||||||
\(264\) | −0.206568 | − | 4.33639i | −0.0127134 | − | 0.266886i | ||||
\(265\) | −17.3872 | + | 11.1741i | −1.06809 | + | 0.686420i | ||||
\(266\) | 1.44939 | − | 11.5498i | 0.0888677 | − | 0.708161i | ||||
\(267\) | 3.04120 | − | 0.892978i | 0.186119 | − | 0.0546493i | ||||
\(268\) | 15.5488 | + | 12.2277i | 0.949792 | + | 0.746925i | ||||
\(269\) | 6.11018 | + | 1.17764i | 0.372544 | + | 0.0718021i | 0.372087 | − | 0.928198i | \(-0.378642\pi\) |
0.000457387 | 1.00000i | \(0.499854\pi\) | ||||||||
\(270\) | −6.80133 | + | 0.649449i | −0.413916 | + | 0.0395242i | ||||
\(271\) | 17.3924 | − | 16.5836i | 1.05651 | − | 1.00738i | 0.0565520 | − | 0.998400i | \(-0.481989\pi\) |
0.999960 | − | 0.00898214i | \(-0.00285914\pi\) | |||||||
\(272\) | −9.46033 | − | 20.7152i | −0.573617 | − | 1.25605i | ||||
\(273\) | 9.09196 | − | 10.8816i | 0.550270 | − | 0.658583i | ||||
\(274\) | 15.5568 | + | 9.99778i | 0.939824 | + | 0.603988i | ||||
\(275\) | 14.6780 | − | 25.4230i | 0.885114 | − | 1.53306i | ||||
\(276\) | 5.81833 | − | 0.291814i | 0.350223 | − | 0.0175651i | ||||
\(277\) | 7.53223 | + | 13.0462i | 0.452568 | + | 0.783870i | 0.998545 | − | 0.0539298i | \(-0.0171747\pi\) |
−0.545977 | + | 0.837800i | \(0.683841\pi\) | |||||||
\(278\) | 4.76326 | − | 2.45563i | 0.285681 | − | 0.147279i | ||||
\(279\) | 1.09067 | + | 7.58577i | 0.0652966 | + | 0.454148i | ||||
\(280\) | 14.1041 | − | 1.60289i | 0.842882 | − | 0.0957907i | ||||
\(281\) | −20.5155 | − | 6.02391i | −1.22385 | − | 0.359356i | −0.394927 | − | 0.918712i | \(-0.629230\pi\) |
−0.828927 | + | 0.559356i | \(0.811048\pi\) | |||||||
\(282\) | 10.1788 | + | 14.2941i | 0.606137 | + | 0.851201i | ||||
\(283\) | −8.17528 | − | 1.57566i | −0.485970 | − | 0.0936631i | −0.0596197 | − | 0.998221i | \(-0.518989\pi\) |
−0.426350 | + | 0.904558i | \(0.640201\pi\) | |||||||
\(284\) | 10.7612 | − | 4.30814i | 0.638561 | − | 0.255641i | ||||
\(285\) | 2.20448 | − | 9.08697i | 0.130582 | − | 0.538266i | ||||
\(286\) | −19.4034 | − | 22.3928i | −1.14735 | − | 1.32411i | ||||
\(287\) | −3.14893 | + | 3.11237i | −0.185875 | + | 0.183717i | ||||
\(288\) | −5.10325 | + | 3.27966i | −0.300712 | + | 0.193256i | ||||
\(289\) | 4.05803 | − | 0.782121i | 0.238708 | − | 0.0460071i | ||||
\(290\) | 30.0843 | + | 28.6853i | 1.76661 | + | 1.68446i | ||||
\(291\) | −1.09871 | + | 0.439856i | −0.0644073 | + | 0.0257848i | ||||
\(292\) | −3.50593 | − | 10.1297i | −0.205169 | − | 0.592797i | ||||
\(293\) | 1.89401 | − | 4.14731i | 0.110649 | − | 0.242288i | −0.846204 | − | 0.532859i | \(-0.821118\pi\) |
0.956854 | + | 0.290570i | \(0.0938450\pi\) | |||||||
\(294\) | 12.4430 | − | 1.64098i | 0.725692 | − | 0.0957038i | ||||
\(295\) | −15.1443 | − | 33.1614i | −0.881734 | − | 1.93073i | ||||
\(296\) | 7.66378 | + | 3.06811i | 0.445448 | + | 0.178331i | ||||
\(297\) | 0.146714 | − | 3.07991i | 0.00851322 | − | 0.178714i | ||||
\(298\) | 13.1867 | + | 22.8400i | 0.763885 | + | 1.32309i | ||||
\(299\) | −19.3830 | + | 16.8809i | −1.12095 | + | 0.976249i | ||||
\(300\) | −11.5650 | −0.667706 | ||||||||
\(301\) | 15.4397 | + | 5.86162i | 0.889930 | + | 0.337858i | ||||
\(302\) | 2.61516 | + | 18.1889i | 0.150486 | + | 1.04665i | ||||
\(303\) | 1.05238 | + | 0.100490i | 0.0604577 | + | 0.00577301i | ||||
\(304\) | −2.86589 | − | 11.8133i | −0.164370 | − | 0.677542i | ||||
\(305\) | 20.3658 | − | 1.94470i | 1.16614 | − | 0.111353i | ||||
\(306\) | −2.69580 | − | 7.78901i | −0.154109 | − | 0.445268i | ||||
\(307\) | 0.962932 | − | 6.69734i | 0.0549574 | − | 0.382237i | −0.943716 | − | 0.330755i | \(-0.892696\pi\) |
0.998674 | − | 0.0514819i | \(-0.0163944\pi\) | |||||||
\(308\) | 0.293664 | − | 9.90532i | 0.0167331 | − | 0.564408i | ||||
\(309\) | 11.8437 | + | 13.6684i | 0.673766 | + | 0.777567i | ||||
\(310\) | 2.49144 | + | 52.3017i | 0.141504 | + | 2.97053i | ||||
\(311\) | 0.536524 | + | 0.276597i | 0.0304235 | + | 0.0156844i | 0.473371 | − | 0.880863i | \(-0.343037\pi\) |
−0.442948 | + | 0.896547i | \(0.646067\pi\) | |||||||
\(312\) | 2.46806 | − | 7.13099i | 0.139726 | − | 0.403713i | ||||
\(313\) | −1.46703 | + | 6.04718i | −0.0829215 | + | 0.341807i | −0.998127 | − | 0.0611811i | \(-0.980513\pi\) |
0.915205 | + | 0.402988i | \(0.132028\pi\) | |||||||
\(314\) | 1.17694 | − | 8.18579i | 0.0664185 | − | 0.461951i | ||||
\(315\) | 10.0803 | − | 0.181075i | 0.567958 | − | 0.0102024i | ||||
\(316\) | 2.15645 | − | 4.72196i | 0.121310 | − | 0.265631i | ||||
\(317\) | −1.46948 | + | 1.40115i | −0.0825344 | + | 0.0786964i | −0.730224 | − | 0.683208i | \(-0.760584\pi\) |
0.647689 | + | 0.761905i | \(0.275736\pi\) | |||||||
\(318\) | −5.64098 | + | 7.92164i | −0.316330 | + | 0.444224i | ||||
\(319\) | −14.7461 | + | 11.5965i | −0.825623 | + | 0.649277i | ||||
\(320\) | −3.28129 | + | 1.69162i | −0.183430 | + | 0.0945646i | ||||
\(321\) | −0.840874 | −0.0469330 | ||||||||
\(322\) | −22.7418 | − | 0.617050i | −1.26735 | − | 0.0343868i | ||||
\(323\) | 11.2803 | 0.627655 | ||||||||
\(324\) | −1.07970 | + | 0.556622i | −0.0599831 | + | 0.0309235i | ||||
\(325\) | 40.1093 | − | 31.5423i | 2.22486 | − | 1.74965i | ||||
\(326\) | −6.15748 | + | 8.64697i | −0.341031 | + | 0.478911i | ||||
\(327\) | 11.6424 | − | 11.1010i | 0.643828 | − | 0.613889i | ||||
\(328\) | −0.978770 | + | 2.14321i | −0.0540435 | + | 0.118339i | ||||
\(329\) | −13.3477 | − | 22.1888i | −0.735885 | − | 1.22331i | ||||
\(330\) | 2.99809 | − | 20.8522i | 0.165040 | − | 1.14788i | ||||
\(331\) | 0.635727 | − | 2.62050i | 0.0349427 | − | 0.144036i | −0.951668 | − | 0.307129i | \(-0.900632\pi\) |
0.986611 | + | 0.163093i | \(0.0521470\pi\) | |||||||
\(332\) | −1.83619 | + | 5.30532i | −0.100774 | + | 0.291167i | ||||
\(333\) | 5.21139 | + | 2.68666i | 0.285582 | + | 0.147228i | ||||
\(334\) | 1.90786 | + | 40.0508i | 0.104393 | + | 2.19148i | ||||
\(335\) | −40.6355 | − | 46.8959i | −2.22015 | − | 2.56219i | ||||
\(336\) | 11.5400 | − | 6.21413i | 0.629559 | − | 0.339009i | ||||
\(337\) | −2.99544 | + | 20.8337i | −0.163172 | + | 1.13489i | 0.729435 | + | 0.684050i | \(0.239783\pi\) |
−0.892607 | + | 0.450836i | \(0.851126\pi\) | |||||||
\(338\) | −9.22128 | − | 26.6432i | −0.501572 | − | 1.44920i | ||||
\(339\) | −3.56261 | + | 0.340188i | −0.193494 | + | 0.0184765i | ||||
\(340\) | −5.01671 | − | 20.6792i | −0.272069 | − | 1.12148i | ||||
\(341\) | −23.5235 | − | 2.24622i | −1.27387 | − | 0.121640i | ||||
\(342\) | −0.626134 | − | 4.35486i | −0.0338574 | − | 0.235484i | ||||
\(343\) | −18.4934 | + | 0.997468i | −0.998549 | + | 0.0538582i | ||||
\(344\) | 8.78857 | 0.473848 | ||||||||
\(345\) | −18.0954 | − | 2.55535i | −0.974225 | − | 0.137575i | ||||
\(346\) | −13.0871 | − | 22.6676i | −0.703569 | − | 1.21862i | ||||
\(347\) | −0.441331 | + | 9.26469i | −0.0236919 | + | 0.497354i | 0.955571 | + | 0.294761i | \(0.0952400\pi\) |
−0.979263 | + | 0.202593i | \(0.935063\pi\) | |||||||
\(348\) | 6.86113 | + | 2.74678i | 0.367795 | + | 0.147243i | ||||
\(349\) | 0.582273 | + | 1.27500i | 0.0311683 | + | 0.0682491i | 0.924576 | − | 0.380998i | \(-0.124420\pi\) |
−0.893408 | + | 0.449247i | \(0.851692\pi\) | |||||||
\(350\) | 45.0288 | + | 3.48488i | 2.40689 | + | 0.186275i | ||||
\(351\) | 2.22643 | − | 4.87521i | 0.118838 | − | 0.260219i | ||||
\(352\) | −6.11769 | − | 17.6759i | −0.326074 | − | 0.942130i | ||||
\(353\) | 19.4986 | − | 7.80605i | 1.03780 | − | 0.415474i | 0.210716 | − | 0.977547i | \(-0.432420\pi\) |
0.827087 | + | 0.562073i | \(0.189996\pi\) | |||||||
\(354\) | −12.4144 | − | 11.8371i | −0.659817 | − | 0.629134i | ||||
\(355\) | −35.7054 | + | 6.88165i | −1.89504 | + | 0.365240i | ||||
\(356\) | 3.23900 | − | 2.08158i | 0.171667 | − | 0.110323i | ||||
\(357\) | 3.07927 | + | 11.7664i | 0.162972 | + | 0.622742i | ||||
\(358\) | 22.7327 | + | 26.2350i | 1.20146 | + | 1.38656i | ||||
\(359\) | −5.86991 | + | 24.1961i | −0.309802 | + | 1.27702i | 0.577713 | + | 0.816240i | \(0.303945\pi\) |
−0.887514 | + | 0.460780i | \(0.847570\pi\) | |||||||
\(360\) | 4.98085 | − | 1.99403i | 0.262514 | − | 0.105095i | ||||
\(361\) | −12.7442 | − | 2.45624i | −0.670746 | − | 0.129276i | ||||
\(362\) | −2.97796 | − | 4.18196i | −0.156518 | − | 0.219799i | ||||
\(363\) | −1.43218 | − | 0.420525i | −0.0751697 | − | 0.0220718i | ||||
\(364\) | 6.87292 | − | 15.7943i | 0.360239 | − | 0.827847i | ||||
\(365\) | 4.78550 | + | 33.2839i | 0.250485 | + | 1.74216i | ||||
\(366\) | 8.55607 | − | 4.41096i | 0.447233 | − | 0.230565i | ||||
\(367\) | 1.85953 | + | 3.22080i | 0.0970668 | + | 0.168125i | 0.910469 | − | 0.413577i | \(-0.135721\pi\) |
−0.813403 | + | 0.581701i | \(0.802387\pi\) | |||||||
\(368\) | −22.4318 | + | 7.82687i | −1.16934 | + | 0.408004i | ||||
\(369\) | −0.836716 | + | 1.44923i | −0.0435577 | + | 0.0754441i | ||||
\(370\) | 33.6996 | + | 21.6574i | 1.75196 | + | 1.12591i | ||||
\(371\) | 9.20113 | − | 11.0122i | 0.477699 | − | 0.571727i | ||||
\(372\) | 3.86728 | + | 8.46815i | 0.200509 | + | 0.439053i | ||||
\(373\) | 6.19839 | − | 5.91015i | 0.320940 | − | 0.306016i | −0.512432 | − | 0.858728i | \(-0.671255\pi\) |
0.833373 | + | 0.552712i | \(0.186407\pi\) | |||||||
\(374\) | 25.2993 | − | 2.41579i | 1.30820 | − | 0.124918i | ||||
\(375\) | 16.9150 | + | 3.26009i | 0.873486 | + | 0.168351i | ||||
\(376\) | −10.8317 | − | 8.51811i | −0.558600 | − | 0.439288i | ||||
\(377\) | −31.2870 | + | 9.18670i | −1.61136 | + | 0.473139i | ||||
\(378\) | 4.37157 | − | 1.84188i | 0.224849 | − | 0.0947363i | ||||
\(379\) | 26.4745 | − | 17.0141i | 1.35990 | − | 0.873956i | 0.361607 | − | 0.932331i | \(-0.382228\pi\) |
0.998295 | + | 0.0583745i | \(0.0185918\pi\) | |||||||
\(380\) | −0.540455 | − | 11.3455i | −0.0277248 | − | 0.582014i | ||||
\(381\) | 2.50282 | − | 7.23143i | 0.128223 | − | 0.370477i | ||||
\(382\) | 10.1819 | + | 9.70839i | 0.520950 | + | 0.496724i | ||||
\(383\) | 1.63897 | + | 1.28890i | 0.0837473 | + | 0.0658596i | 0.659155 | − | 0.752007i | \(-0.270914\pi\) |
−0.575408 | + | 0.817867i | \(0.695157\pi\) | |||||||
\(384\) | 6.80759 | − | 7.85637i | 0.347398 | − | 0.400919i | ||||
\(385\) | −6.78515 | + | 30.3370i | −0.345803 | + | 1.54612i | ||||
\(386\) | −33.7442 | − | 9.90818i | −1.71753 | − | 0.504313i | ||||
\(387\) | 6.21379 | + | 0.593345i | 0.315865 | + | 0.0301614i | ||||
\(388\) | −1.13004 | + | 0.888674i | −0.0573691 | + | 0.0451156i | ||||
\(389\) | −0.484178 | + | 10.1642i | −0.0245488 | + | 0.515343i | 0.952786 | + | 0.303643i | \(0.0982030\pi\) |
−0.977335 | + | 0.211700i | \(0.932100\pi\) | |||||||
\(390\) | 18.3089 | − | 31.7120i | 0.927108 | − | 1.60580i | ||||
\(391\) | −2.15079 | − | 21.9414i | −0.108770 | − | 1.10963i | ||||
\(392\) | −9.01228 | + | 3.98925i | −0.455189 | + | 0.201488i | ||||
\(393\) | −2.78057 | − | 1.78697i | −0.140261 | − | 0.0901405i | ||||
\(394\) | 16.2556 | + | 6.50776i | 0.818945 | + | 0.327856i | ||||
\(395\) | −9.44583 | + | 13.2648i | −0.475271 | + | 0.667425i | ||||
\(396\) | −0.883036 | − | 3.63992i | −0.0443742 | − | 0.182913i | ||||
\(397\) | −0.789659 | − | 1.10892i | −0.0396319 | − | 0.0556552i | 0.794285 | − | 0.607546i | \(-0.207846\pi\) |
−0.833916 | + | 0.551891i | \(0.813907\pi\) | |||||||
\(398\) | 21.6937 | − | 25.0359i | 1.08741 | − | 1.25494i | ||||
\(399\) | 0.425334 | + | 6.47828i | 0.0212933 | + | 0.324320i | ||||
\(400\) | 45.2537 | − | 13.2877i | 2.26268 | − | 0.664384i | ||||
\(401\) | −0.116014 | + | 0.0223599i | −0.00579348 | + | 0.00111660i | −0.192147 | − | 0.981366i | \(-0.561545\pi\) |
0.186354 | + | 0.982483i | \(0.440333\pi\) | |||||||
\(402\) | −25.9512 | − | 13.3788i | −1.29433 | − | 0.667273i | ||||
\(403\) | −36.5083 | − | 18.8213i | −1.81861 | − | 0.937557i | ||||
\(404\) | 1.26097 | − | 0.243032i | 0.0627355 | − | 0.0120913i | ||||
\(405\) | 3.65624 | − | 1.07357i | 0.181680 | − | 0.0533460i | ||||
\(406\) | −25.8864 | − | 12.7622i | −1.28472 | − | 0.633375i | ||||
\(407\) | −11.8389 | + | 13.6628i | −0.586832 | + | 0.677241i | ||||
\(408\) | 3.75438 | + | 5.27230i | 0.185870 | + | 0.261018i | ||||
\(409\) | −3.17580 | − | 13.0908i | −0.157033 | − | 0.647300i | −0.994851 | − | 0.101350i | \(-0.967684\pi\) |
0.837817 | − | 0.545950i | \(-0.183831\pi\) | |||||||
\(410\) | −6.63199 | + | 9.31332i | −0.327530 | + | 0.459952i | ||||
\(411\) | −9.57508 | − | 3.83328i | −0.472304 | − | 0.189082i | ||||
\(412\) | 18.4819 | + | 11.8776i | 0.910538 | + | 0.585167i | ||||
\(413\) | 16.9166 | + | 18.8286i | 0.832411 | + | 0.926494i | ||||
\(414\) | −8.35126 | + | 2.04822i | −0.410442 | + | 0.100665i | ||||
\(415\) | 8.80566 | − | 15.2518i | 0.432253 | − | 0.748684i | ||||
\(416\) | 1.54700 | − | 32.4754i | 0.0758477 | − | 1.59224i | ||||
\(417\) | −2.34943 | + | 1.84761i | −0.115052 | + | 0.0904780i | ||||
\(418\) | 13.5044 | + | 1.28952i | 0.660523 | + | 0.0630723i | ||||
\(419\) | 8.82137 | + | 2.59019i | 0.430952 | + | 0.126539i | 0.490012 | − | 0.871715i | \(-0.336992\pi\) |
−0.0590603 | + | 0.998254i | \(0.518810\pi\) | |||||||
\(420\) | 11.6868 | − | 3.66081i | 0.570259 | − | 0.178629i | ||||
\(421\) | 26.0902 | − | 30.1097i | 1.27156 | − | 1.46746i | 0.454675 | − | 0.890658i | \(-0.349756\pi\) |
0.816885 | − | 0.576801i | \(-0.195699\pi\) | |||||||
\(422\) | 0.878981 | + | 0.691239i | 0.0427881 | + | 0.0336490i | ||||
\(423\) | −7.08323 | − | 6.75385i | −0.344399 | − | 0.328383i | ||||
\(424\) | 2.49770 | − | 7.21662i | 0.121299 | − | 0.350470i | ||||
\(425\) | 2.08250 | + | 43.7171i | 0.101016 | + | 2.12059i | ||||
\(426\) | −14.3933 | + | 9.25001i | −0.697357 | + | 0.448164i | ||||
\(427\) | −13.0902 | + | 5.51532i | −0.633477 | + | 0.266905i | ||||
\(428\) | −0.980061 | + | 0.287772i | −0.0473730 | + | 0.0139100i | ||||
\(429\) | 12.9900 | + | 10.2155i | 0.627163 | + | 0.493207i | ||||
\(430\) | 41.8767 | + | 8.07108i | 2.01948 | + | 0.389222i | ||||
\(431\) | 20.5795 | − | 1.96510i | 0.991279 | − | 0.0946556i | 0.413203 | − | 0.910639i | \(-0.364410\pi\) |
0.578075 | + | 0.815983i | \(0.303804\pi\) | |||||||
\(432\) | 3.58530 | − | 3.41858i | 0.172498 | − | 0.164476i | ||||
\(433\) | 14.8988 | + | 32.6239i | 0.715993 | + | 1.56781i | 0.819437 | + | 0.573170i | \(0.194287\pi\) |
−0.103444 | + | 0.994635i | \(0.532986\pi\) | |||||||
\(434\) | −12.5057 | − | 34.1364i | −0.600292 | − | 1.63860i | ||||
\(435\) | −19.5036 | − | 12.5342i | −0.935126 | − | 0.600969i | ||||
\(436\) | 9.77047 | − | 16.9229i | 0.467920 | − | 0.810462i | ||||
\(437\) | 1.08920 | − | 11.7176i | 0.0521035 | − | 0.560531i | ||||
\(438\) | 7.91092 | + | 13.7021i | 0.377999 | + | 0.654713i | ||||
\(439\) | 17.1109 | − | 8.82130i | 0.816660 | − | 0.421018i | 0.00131947 | − | 0.999999i | \(-0.499580\pi\) |
0.815341 | + | 0.578982i | \(0.196550\pi\) | |||||||
\(440\) | 2.35431 | + | 16.3746i | 0.112237 | + | 0.780627i | ||||
\(441\) | −6.64129 | + | 2.21208i | −0.316252 | + | 0.105337i | ||||
\(442\) | 42.3857 | + | 12.4456i | 2.01608 | + | 0.591975i | ||||
\(443\) | 12.4007 | + | 17.4143i | 0.589174 | + | 0.827380i | 0.996296 | − | 0.0859944i | \(-0.0274067\pi\) |
−0.407121 | + | 0.913374i | \(0.633467\pi\) | |||||||
\(444\) | 6.99347 | + | 1.34788i | 0.331895 | + | 0.0639676i | ||||
\(445\) | −11.2129 | + | 4.48895i | −0.531541 | + | 0.212797i | ||||
\(446\) | 4.47885 | − | 18.4621i | 0.212080 | − | 0.874205i | ||||
\(447\) | −9.63259 | − | 11.1166i | −0.455606 | − | 0.525797i | ||||
\(448\) | 1.82300 | − | 1.80183i | 0.0861284 | − | 0.0851285i | ||||
\(449\) | 2.75569 | − | 1.77098i | 0.130049 | − | 0.0835776i | −0.473999 | − | 0.880526i | \(-0.657190\pi\) |
0.604048 | + | 0.796948i | \(0.293554\pi\) | |||||||
\(450\) | 16.7617 | − | 3.23055i | 0.790154 | − | 0.152290i | ||||
\(451\) | −3.73437 | − | 3.56071i | −0.175844 | − | 0.167667i | ||||
\(452\) | −4.03589 | + | 1.61573i | −0.189832 | + | 0.0759974i | ||||
\(453\) | −3.35208 | − | 9.68519i | −0.157494 | − | 0.455050i | ||||
\(454\) | 4.08118 | − | 8.93654i | 0.191539 | − | 0.419413i | ||||
\(455\) | −30.5474 | + | 44.5708i | −1.43208 | + | 2.08951i | ||||
\(456\) | 1.43522 | + | 3.14268i | 0.0672101 | + | 0.147170i | ||||
\(457\) | 6.84613 | + | 2.74078i | 0.320249 | + | 0.128208i | 0.526217 | − | 0.850350i | \(-0.323610\pi\) |
−0.205968 | + | 0.978559i | \(0.566034\pi\) | |||||||
\(458\) | −0.936735 | + | 19.6645i | −0.0437708 | + | 0.918861i | ||||
\(459\) | 2.29852 | + | 3.98115i | 0.107286 | + | 0.185824i | ||||
\(460\) | −21.9652 | + | 3.21447i | −1.02413 | + | 0.149875i | ||||
\(461\) | 29.7517 | 1.38567 | 0.692837 | − | 0.721094i | \(-0.256360\pi\) | ||||
0.692837 | + | 0.721094i | \(0.256360\pi\) | |||||||
\(462\) | 2.34132 | + | 14.4383i | 0.108928 | + | 0.671729i | ||||
\(463\) | −3.75580 | − | 26.1221i | −0.174547 | − | 1.21400i | −0.869129 | − | 0.494586i | \(-0.835320\pi\) |
0.694582 | − | 0.719413i | \(-0.255589\pi\) | |||||||
\(464\) | −30.0034 | − | 2.86498i | −1.39287 | − | 0.133003i | ||||
\(465\) | −6.88499 | − | 28.3803i | −0.319284 | − | 1.31611i | ||||
\(466\) | −34.1397 | + | 3.25995i | −1.58149 | + | 0.151014i | ||||
\(467\) | −4.68412 | − | 13.5339i | −0.216755 | − | 0.626273i | −0.999990 | − | 0.00454672i | \(-0.998553\pi\) |
0.783234 | − | 0.621727i | \(-0.213568\pi\) | |||||||
\(468\) | 0.926527 | − | 6.44413i | 0.0428287 | − | 0.297880i | ||||
\(469\) | 36.6568 | + | 22.6381i | 1.69265 | + | 1.04533i | ||||
\(470\) | −43.7892 | − | 50.5354i | −2.01984 | − | 2.33102i | ||||
\(471\) | 0.219469 | + | 4.60722i | 0.0101126 | + | 0.212290i | ||||
\(472\) | 11.9725 | + | 6.17227i | 0.551080 | + | 0.284102i | ||||
\(473\) | −6.29500 | + | 18.1882i | −0.289444 | + | 0.836295i | ||||
\(474\) | −1.80641 | + | 7.44614i | −0.0829713 | + | 0.342012i | ||||
\(475\) | −3.32476 | + | 23.1242i | −0.152550 | + | 1.06101i | ||||
\(476\) | 7.61576 | + | 12.6602i | 0.349068 | + | 0.580278i | ||||
\(477\) | 2.25317 | − | 4.93375i | 0.103165 | − | 0.225901i | ||||
\(478\) | −6.71558 | + | 6.40329i | −0.307163 | + | 0.292880i | ||||
\(479\) | −7.80766 | + | 10.9643i | −0.356741 | + | 0.500973i | −0.953477 | − | 0.301465i | \(-0.902524\pi\) |
0.596736 | + | 0.802437i | \(0.296464\pi\) | |||||||
\(480\) | 18.1704 | − | 14.2894i | 0.829361 | − | 0.652217i | ||||
\(481\) | −27.9307 | + | 14.3993i | −1.27353 | + | 0.656549i | ||||
\(482\) | 31.8275 | 1.44970 | ||||||||
\(483\) | 12.5198 | − | 2.06251i | 0.569672 | − | 0.0938477i | ||||
\(484\) | −1.81315 | −0.0824161 | ||||||||
\(485\) | 4.00844 | − | 2.06650i | 0.182014 | − | 0.0938348i | ||||
\(486\) | 1.40937 | − | 1.10834i | 0.0639302 | − | 0.0502753i | ||||
\(487\) | 11.5403 | − | 16.2061i | 0.522943 | − | 0.734370i | −0.465653 | − | 0.884968i | \(-0.654180\pi\) |
0.988595 | + | 0.150597i | \(0.0481197\pi\) | |||||||
\(488\) | −5.47079 | + | 5.21639i | −0.247651 | + | 0.236135i | ||||
\(489\) | 2.45947 | − | 5.38550i | 0.111221 | − | 0.243541i | ||||
\(490\) | −46.6062 | + | 10.7319i | −2.10546 | + | 0.484818i | ||||
\(491\) | −3.76080 | + | 26.1569i | −0.169722 | + | 1.18045i | 0.709735 | + | 0.704468i | \(0.248815\pi\) |
−0.879458 | + | 0.475977i | \(0.842095\pi\) | |||||||
\(492\) | −0.479244 | + | 1.97547i | −0.0216060 | + | 0.0890610i | ||||
\(493\) | 9.14768 | − | 26.4305i | 0.411991 | − | 1.19037i | ||||
\(494\) | 20.9588 | + | 10.8050i | 0.942979 | + | 0.486140i | ||||
\(495\) | 0.559068 | + | 11.7363i | 0.0251282 | + | 0.527507i | ||||
\(496\) | −24.8621 | − | 28.6924i | −1.11634 | − | 1.28833i | ||||
\(497\) | 22.2290 | − | 11.9700i | 0.997108 | − | 0.536929i | ||||
\(498\) | 1.17929 | − | 8.20216i | 0.0528454 | − | 0.367548i | ||||
\(499\) | −12.0158 | − | 34.7175i | −0.537903 | − | 1.55417i | −0.806694 | − | 0.590970i | \(-0.798745\pi\) |
0.268791 | − | 0.963199i | \(-0.413376\pi\) | |||||||
\(500\) | 20.8306 | − | 1.98908i | 0.931571 | − | 0.0889542i | ||||
\(501\) | −5.27229 | − | 21.7327i | −0.235549 | − | 0.970945i | ||||
\(502\) | 0.933865 | + | 0.0891733i | 0.0416804 | + | 0.00398000i | ||||
\(503\) | 0.652051 | + | 4.53511i | 0.0290735 | + | 0.202211i | 0.999181 | − | 0.0404651i | \(-0.0128840\pi\) |
−0.970107 | + | 0.242676i | \(0.921975\pi\) | |||||||
\(504\) | −2.88631 | + | 2.35493i | −0.128566 | + | 0.104897i | ||||
\(505\) | −4.02844 | −0.179263 | ||||||||
\(506\) | −0.0666100 | − | 26.5134i | −0.00296118 | − | 1.17866i | ||||
\(507\) | 7.86233 | + | 13.6179i | 0.349178 | + | 0.604794i | ||||
\(508\) | 0.442297 | − | 9.28496i | 0.0196238 | − | 0.411953i | ||||
\(509\) | 2.45523 | + | 0.982926i | 0.108826 | + | 0.0435674i | 0.425437 | − | 0.904988i | \(-0.360121\pi\) |
−0.316610 | + | 0.948556i | \(0.602545\pi\) | |||||||
\(510\) | 13.0474 | + | 28.5699i | 0.577750 | + | 1.26510i | ||||
\(511\) | −10.0786 | − | 21.0597i | −0.445852 | − | 0.931626i | ||||
\(512\) | 6.68890 | − | 14.6467i | 0.295610 | − | 0.647297i | ||||
\(513\) | 0.802569 | + | 2.31887i | 0.0354343 | + | 0.102381i | ||||
\(514\) | −38.2370 | + | 15.3078i | −1.68656 | + | 0.675197i | ||||
\(515\) | −49.8782 | − | 47.5588i | −2.19790 | − | 2.09569i | ||||
\(516\) | 7.44540 | − | 1.43498i | 0.327765 | − | 0.0631716i | ||||
\(517\) | 25.3869 | − | 16.3152i | 1.11651 | − | 0.717540i | ||||
\(518\) | −26.8232 | − | 7.35536i | −1.17854 | − | 0.323176i | ||||
\(519\) | 9.55986 | + | 11.0327i | 0.419631 | + | 0.484280i | ||||
\(520\) | −6.77921 | + | 27.9443i | −0.297288 | + | 1.22544i | ||||
\(521\) | −38.4770 | + | 15.4039i | −1.68571 | + | 0.674856i | −0.998660 | − | 0.0517551i | \(-0.983518\pi\) |
−0.687049 | + | 0.726611i | \(0.741094\pi\) | |||||||
\(522\) | −10.7114 | − | 2.06446i | −0.468827 | − | 0.0903589i | ||||
\(523\) | 5.19919 | + | 7.30125i | 0.227345 | + | 0.319261i | 0.912454 | − | 0.409179i | \(-0.134185\pi\) |
−0.685109 | + | 0.728440i | \(0.740246\pi\) | |||||||
\(524\) | −3.85238 | − | 1.13116i | −0.168292 | − | 0.0494150i | ||||
\(525\) | −25.0281 | + | 2.84436i | −1.09232 | + | 0.124138i | ||||
\(526\) | −2.22506 | − | 15.4757i | −0.0970174 | − | 0.674771i | ||||
\(527\) | 31.3142 | − | 16.1436i | 1.36407 | − | 0.703226i | ||||
\(528\) | 7.63742 | + | 13.2284i | 0.332376 | + | 0.575692i | ||||
\(529\) | −22.9997 | + | 0.115566i | −0.999987 | + | 0.00502460i | ||||
\(530\) | 18.5288 | − | 32.0928i | 0.804838 | − | 1.39402i | ||||
\(531\) | 8.04824 | + | 5.17229i | 0.349264 | + | 0.224458i | ||||
\(532\) | 2.71279 | + | 7.40504i | 0.117615 | + | 0.321049i | ||||
\(533\) | −3.72578 | − | 8.15833i | −0.161382 | − | 0.353376i | ||||
\(534\) | −4.11296 | + | 3.92170i | −0.177985 | + | 0.169709i | ||||
\(535\) | 3.18972 | − | 0.304581i | 0.137904 | − | 0.0131682i | ||||
\(536\) | 22.5131 | + | 4.33903i | 0.972416 | + | 0.187418i | ||||
\(537\) | −15.2189 | − | 11.9682i | −0.656742 | − | 0.516468i | ||||
\(538\) | −10.7050 | + | 3.14328i | −0.461527 | + | 0.135517i | ||||
\(539\) | −1.80064 | − | 21.5086i | −0.0775592 | − | 0.926440i | ||||
\(540\) | 3.89404 | − | 2.50254i | 0.167573 | − | 0.107692i | ||||
\(541\) | 0.801322 | + | 16.8218i | 0.0344515 | + | 0.723226i | 0.948339 | + | 0.317259i | \(0.102762\pi\) |
−0.913888 | + | 0.405967i | \(0.866935\pi\) | |||||||
\(542\) | −14.0926 | + | 40.7178i | −0.605328 | + | 1.74898i | ||||
\(543\) | 2.07231 | + | 1.97595i | 0.0889314 | + | 0.0847959i | ||||
\(544\) | 21.9204 | + | 17.2384i | 0.939831 | + | 0.739091i | ||||
\(545\) | −40.1427 | + | 46.3271i | −1.71952 | + | 1.98444i | ||||
\(546\) | −5.54928 | + | 24.8113i | −0.237487 | + | 1.06182i | ||||
\(547\) | −24.7183 | − | 7.25796i | −1.05688 | − | 0.310328i | −0.293286 | − | 0.956025i | \(-0.594749\pi\) |
−0.763594 | + | 0.645697i | \(0.776567\pi\) | |||||||
\(548\) | −12.4719 | − | 1.19092i | −0.532772 | − | 0.0508736i | ||||
\(549\) | −4.22019 | + | 3.31880i | −0.180113 | + | 0.141643i | ||||
\(550\) | −2.50444 | + | 52.5746i | −0.106789 | + | 2.24179i | ||||
\(551\) | 7.46465 | − | 12.9292i | 0.318005 | − | 0.550801i | ||||
\(552\) | 5.83920 | − | 3.39085i | 0.248533 | − | 0.144324i | ||||
\(553\) | 3.50548 | − | 10.7493i | 0.149068 | − | 0.457106i | ||||
\(554\) | −22.7223 | − | 14.6028i | −0.965379 | − | 0.620411i | ||||
\(555\) | −20.7417 | − | 8.30374i | −0.880438 | − | 0.352474i | ||||
\(556\) | −2.10602 | + | 2.95749i | −0.0893150 | + | 0.125425i | ||||
\(557\) | −3.60307 | − | 14.8521i | −0.152667 | − | 0.629303i | −0.995797 | − | 0.0915920i | \(-0.970804\pi\) |
0.843129 | − | 0.537711i | \(-0.180711\pi\) | |||||||
\(558\) | −7.97050 | − | 11.1930i | −0.337418 | − | 0.473838i | ||||
\(559\) | −21.9081 | + | 25.2833i | −0.926613 | + | 1.06937i | ||||
\(560\) | −41.5243 | + | 27.7523i | −1.75472 | + | 1.17275i | ||||
\(561\) | −13.6003 | + | 3.99342i | −0.574206 | + | 0.168602i | ||||
\(562\) | 37.6438 | − | 7.25525i | 1.58791 | − | 0.306044i | ||||
\(563\) | 38.1391 | + | 19.6621i | 1.60737 | + | 0.828658i | 0.999398 | + | 0.0347021i | \(0.0110482\pi\) |
0.607975 | + | 0.793956i | \(0.291982\pi\) | |||||||
\(564\) | −10.5671 | − | 5.44770i | −0.444954 | − | 0.229389i | ||||
\(565\) | 13.3910 | − | 2.58089i | 0.563362 | − | 0.108579i | ||||
\(566\) | 14.3231 | − | 4.20564i | 0.602045 | − | 0.176776i | ||||
\(567\) | −2.19970 | + | 1.47015i | −0.0923786 | + | 0.0617403i | ||||
\(568\) | 8.79833 | − | 10.1538i | 0.369170 | − | 0.426045i | ||||
\(569\) | −6.90174 | − | 9.69214i | −0.289336 | − | 0.406316i | 0.644167 | − | 0.764885i | \(-0.277204\pi\) |
−0.933503 | + | 0.358569i | \(0.883265\pi\) | |||||||
\(570\) | 3.95255 | + | 16.2926i | 0.165554 | + | 0.682424i | ||||
\(571\) | 4.97365 | − | 6.98451i | 0.208141 | − | 0.292293i | −0.697288 | − | 0.716791i | \(-0.745610\pi\) |
0.905429 | + | 0.424498i | \(0.139550\pi\) | |||||||
\(572\) | 18.6362 | + | 7.46082i | 0.779220 | + | 0.311952i | ||||
\(573\) | −6.60090 | − | 4.24214i | −0.275756 | − | 0.177218i | ||||
\(574\) | 2.46122 | − | 7.54715i | 0.102729 | − | 0.315012i | ||||
\(575\) | 45.6129 | + | 2.05797i | 1.90219 | + | 0.0858233i | ||||
\(576\) | 0.484396 | − | 0.838999i | 0.0201832 | − | 0.0349583i | ||||
\(577\) | 0.777666 | − | 16.3252i | 0.0323747 | − | 0.679628i | −0.923101 | − | 0.384558i | \(-0.874354\pi\) |
0.955476 | − | 0.295070i | \(-0.0953430\pi\) | |||||||
\(578\) | −5.82451 | + | 4.58045i | −0.242268 | + | 0.190521i | ||||
\(579\) | 19.5260 | + | 1.86451i | 0.811473 | + | 0.0774863i | ||||
\(580\) | −27.0215 | − | 7.93424i | −1.12201 | − | 0.329451i | ||||
\(581\) | −2.66892 | + | 11.9330i | −0.110725 | + | 0.495063i | ||||
\(582\) | 1.38958 | − | 1.60366i | 0.0575999 | − | 0.0664738i | ||||
\(583\) | 13.1460 | + | 10.3381i | 0.544451 | + | 0.428161i | ||||
\(584\) | −8.99196 | − | 8.57382i | −0.372090 | − | 0.354787i | ||||
\(585\) | −6.67972 | + | 19.2998i | −0.276172 | + | 0.797948i | ||||
\(586\) | 0.388969 | + | 8.16546i | 0.0160682 | + | 0.337312i | ||||
\(587\) | 19.6674 | − | 12.6395i | 0.811760 | − | 0.521686i | −0.0676741 | − | 0.997707i | \(-0.521558\pi\) |
0.879434 | + | 0.476021i | \(0.157921\pi\) | |||||||
\(588\) | −6.98356 | + | 4.85108i | −0.287997 | + | 0.200055i | ||||
\(589\) | 18.0438 | − | 5.29815i | 0.743483 | − | 0.218306i | ||||
\(590\) | 51.3796 | + | 40.4054i | 2.11526 | + | 1.66346i | ||||
\(591\) | −9.58938 | − | 1.84820i | −0.394454 | − | 0.0760248i | ||||
\(592\) | −28.9140 | + | 2.76095i | −1.18836 | + | 0.113474i | ||||
\(593\) | 19.6777 | − | 18.7627i | 0.808068 | − | 0.770491i | −0.168500 | − | 0.985702i | \(-0.553892\pi\) |
0.976568 | + | 0.215211i | \(0.0690438\pi\) | |||||||
\(594\) | 2.29660 | + | 5.02884i | 0.0942305 | + | 0.206336i | ||||
\(595\) | −15.9427 | − | 43.5184i | −0.653588 | − | 1.78408i | ||||
\(596\) | −15.0315 | − | 9.66013i | −0.615713 | − | 0.395694i | ||||
\(597\) | −9.23810 | + | 16.0009i | −0.378090 | + | 0.654872i | ||||
\(598\) | 17.0207 | − | 42.8271i | 0.696028 | − | 1.75133i | ||||
\(599\) | 5.37459 | + | 9.30907i | 0.219600 | + | 0.380358i | 0.954686 | − | 0.297616i | \(-0.0961915\pi\) |
−0.735086 | + | 0.677974i | \(0.762858\pi\) | |||||||
\(600\) | −11.9145 | + | 6.14237i | −0.486409 | + | 0.250761i | ||||
\(601\) | −4.32668 | − | 30.0928i | −0.176489 | − | 1.22751i | −0.864809 | − | 0.502101i | \(-0.832560\pi\) |
0.688320 | − | 0.725408i | \(-0.258349\pi\) | |||||||
\(602\) | −29.4213 | + | 3.34364i | −1.19912 | + | 0.136277i | ||||
\(603\) | 15.6245 | + | 4.58776i | 0.636278 | + | 0.186828i | ||||
\(604\) | −7.22149 | − | 10.1412i | −0.293838 | − | 0.412638i | ||||
\(605\) | 5.58505 | + | 1.07643i | 0.227065 | + | 0.0437631i | ||||
\(606\) | −1.75969 | + | 0.704474i | −0.0714825 | + | 0.0286173i | ||||
\(607\) | −8.86886 | + | 36.5579i | −0.359976 | + | 1.48384i | 0.447684 | + | 0.894192i | \(0.352249\pi\) |
−0.807660 | + | 0.589649i | \(0.799266\pi\) | |||||||
\(608\) | 9.74795 | + | 11.2497i | 0.395331 | + | 0.456237i | ||||
\(609\) | 15.5239 | + | 4.25691i | 0.629060 | + | 0.172499i | ||||
\(610\) | −30.8583 | + | 19.8314i | −1.24942 | + | 0.802952i | ||||
\(611\) | 51.5062 | − | 9.92702i | 2.08372 | − | 0.401604i | ||||
\(612\) | 4.04145 | + | 3.85351i | 0.163366 | + | 0.155769i | ||||
\(613\) | 17.3223 | − | 6.93478i | 0.699639 | − | 0.280093i | 0.00555240 | − | 0.999985i | \(-0.498233\pi\) |
0.694087 | + | 0.719891i | \(0.255808\pi\) | |||||||
\(614\) | 3.96786 | + | 11.4644i | 0.160130 | + | 0.462664i | ||||
\(615\) | 2.64901 | − | 5.80051i | 0.106818 | − | 0.233899i | ||||
\(616\) | −4.95835 | − | 10.3607i | −0.199778 | − | 0.417443i | ||||
\(617\) | 5.82652 | + | 12.7583i | 0.234567 | + | 0.513630i | 0.989910 | − | 0.141700i | \(-0.0452569\pi\) |
−0.755343 | + | 0.655330i | \(0.772530\pi\) | |||||||
\(618\) | −30.1045 | − | 12.0520i | −1.21098 | − | 0.484804i | ||||
\(619\) | 0.102668 | − | 2.15527i | 0.00412659 | − | 0.0866278i | −0.995864 | − | 0.0908511i | \(-0.971041\pi\) |
0.999991 | + | 0.00422325i | \(0.00134431\pi\) | |||||||
\(620\) | −17.7372 | − | 30.7218i | −0.712344 | − | 1.23382i | ||||
\(621\) | 4.35742 | − | 2.00321i | 0.174857 | − | 0.0803862i | ||||
\(622\) | −1.08228 | −0.0433955 | ||||||||
\(623\) | 6.49764 | − | 5.30141i | 0.260322 | − | 0.212397i | ||||
\(624\) | 3.77854 | + | 26.2803i | 0.151263 | + | 1.05205i | ||||
\(625\) | −17.9575 | − | 1.71474i | −0.718301 | − | 0.0685895i | ||||
\(626\) | −2.63034 | − | 10.8424i | −0.105129 | − | 0.433350i | ||||
\(627\) | −7.53188 | + | 0.719208i | −0.300794 | + | 0.0287224i | ||||
\(628\) | 1.83252 | + | 5.29473i | 0.0731257 | + | 0.211283i | ||||
\(629\) | 3.83584 | − | 26.6788i | 0.152945 | − | 1.06375i | ||||
\(630\) | −15.9157 | + | 8.57036i | −0.634095 | + | 0.341451i | ||||
\(631\) | 18.2611 | + | 21.0745i | 0.726964 | + | 0.838962i | 0.992126 | − | 0.125242i | \(-0.0399708\pi\) |
−0.265162 | + | 0.964204i | \(0.585425\pi\) | |||||||
\(632\) | −0.286292 | − | 6.01001i | −0.0113881 | − | 0.239065i | ||||
\(633\) | −0.554341 | − | 0.285783i | −0.0220331 | − | 0.0113588i | ||||
\(634\) | 1.19068 | − | 3.44025i | 0.0472881 | − | 0.136630i | ||||
\(635\) | −6.87468 | + | 28.3378i | −0.272814 | + | 1.12455i | ||||
\(636\) | 0.937652 | − | 6.52151i | 0.0371803 | − | 0.258595i | ||||
\(637\) | 10.9893 | − | 35.8712i | 0.435412 | − | 1.42127i | ||||
\(638\) | 13.9727 | − | 30.5959i | 0.553184 | − | 1.21130i | ||||
\(639\) | 6.90621 | − | 6.58506i | 0.273206 | − | 0.260501i | ||||
\(640\) | −22.9777 | + | 32.2677i | −0.908275 | + | 1.27549i | ||||
\(641\) | 32.4128 | − | 25.4897i | 1.28023 | − | 1.00678i | 0.281342 | − | 0.959608i | \(-0.409221\pi\) |
0.998887 | − | 0.0471749i | \(-0.0150218\pi\) | |||||||
\(642\) | 1.34006 | − | 0.690850i | 0.0528880 | − | 0.0272657i | ||||
\(643\) | −10.4303 | −0.411332 | −0.205666 | − | 0.978622i | \(-0.565936\pi\) | ||||
−0.205666 | + | 0.978622i | \(0.565936\pi\) | |||||||
\(644\) | 13.8863 | − | 6.68857i | 0.547198 | − | 0.263567i | ||||
\(645\) | −23.7860 | −0.936571 | ||||||||
\(646\) | −17.9769 | + | 9.26776i | −0.707293 | + | 0.364635i | ||||
\(647\) | −30.7353 | + | 24.1705i | −1.20833 | + | 0.950240i | −0.999615 | − | 0.0277370i | \(-0.991170\pi\) |
−0.208713 | + | 0.977977i | \(0.566927\pi\) | |||||||
\(648\) | −0.816697 | + | 1.14689i | −0.0320829 | + | 0.0450541i | ||||
\(649\) | −21.3493 | + | 20.3565i | −0.838032 | + | 0.799062i | ||||
\(650\) | −38.0056 | + | 83.2206i | −1.49070 | + | 3.26418i | ||||
\(651\) | 10.4520 | + | 17.3750i | 0.409645 | + | 0.680980i | ||||
\(652\) | 1.02351 | − | 7.11864i | 0.0400836 | − | 0.278788i | ||||
\(653\) | 5.73894 | − | 23.6562i | 0.224582 | − | 0.925740i | −0.742208 | − | 0.670169i | \(-0.766221\pi\) |
0.966790 | − | 0.255571i | \(-0.0822634\pi\) | |||||||
\(654\) | −9.43355 | + | 27.2565i | −0.368881 | + | 1.06581i | ||||
\(655\) | 11.1949 | + | 5.77139i | 0.437422 | + | 0.225507i | ||||
\(656\) | −0.394454 | − | 8.28061i | −0.0154008 | − | 0.323303i | ||||
\(657\) | −5.77875 | − | 6.66903i | −0.225450 | − | 0.260184i | ||||
\(658\) | 39.5017 | + | 24.3950i | 1.53994 | + | 0.951016i | ||||
\(659\) | −3.59209 | + | 24.9835i | −0.139928 | + | 0.973220i | 0.791986 | + | 0.610540i | \(0.209047\pi\) |
−0.931914 | + | 0.362681i | \(0.881862\pi\) | |||||||
\(660\) | 4.66811 | + | 13.4876i | 0.181706 | + | 0.525005i | ||||
\(661\) | −41.2463 | + | 3.93854i | −1.60429 | + | 0.153191i | −0.858438 | − | 0.512917i | \(-0.828565\pi\) |
−0.745855 | + | 0.666108i | \(0.767959\pi\) | |||||||
\(662\) | 1.13984 | + | 4.69848i | 0.0443011 | + | 0.182612i | ||||
\(663\) | −24.5264 | − | 2.34199i | −0.952527 | − | 0.0909553i | ||||
\(664\) | 0.926062 | + | 6.44090i | 0.0359382 | + | 0.249955i | ||||
\(665\) | −3.96000 | − | 24.4202i | −0.153562 | − | 0.946976i | ||||
\(666\) | −10.5125 | −0.407350 | ||||||||
\(667\) | −26.5718 | − | 12.0544i | −1.02887 | − | 0.466747i | ||||
\(668\) | −13.5826 | − | 23.5257i | −0.525525 | − | 0.910236i | ||||
\(669\) | −0.504160 | + | 10.5836i | −0.0194919 | + | 0.409186i | ||||
\(670\) | 103.288 | + | 41.3502i | 3.99036 | + | 1.59750i | ||||
\(671\) | −6.87690 | − | 15.0583i | −0.265480 | − | 0.581320i | ||||
\(672\) | −9.07347 | + | 13.2389i | −0.350017 | + | 0.510700i | ||||
\(673\) | 11.4053 | − | 24.9742i | 0.439644 | − | 0.962685i | −0.552020 | − | 0.833831i | \(-0.686143\pi\) |
0.991664 | − | 0.128854i | \(-0.0411300\pi\) | |||||||
\(674\) | −12.3430 | − | 35.6627i | −0.475434 | − | 1.37368i | ||||
\(675\) | −8.83865 | + | 3.53846i | −0.340200 | + | 0.136195i | ||||
\(676\) | 13.8242 | + | 13.1814i | 0.531700 | + | 0.506975i | ||||
\(677\) | 26.8164 | − | 5.16844i | 1.03064 | − | 0.198639i | 0.354224 | − | 0.935161i | \(-0.384745\pi\) |
0.676414 | + | 0.736521i | \(0.263533\pi\) | |||||||
\(678\) | 5.39806 | − | 3.46913i | 0.207311 | − | 0.133231i | ||||
\(679\) | −2.22698 | + | 2.20113i | −0.0854637 | + | 0.0844715i | ||||
\(680\) | −16.1514 | − | 18.6397i | −0.619377 | − | 0.714800i | ||||
\(681\) | −1.29181 | + | 5.32493i | −0.0495024 | + | 0.204052i | ||||
\(682\) | 39.3337 | − | 15.7468i | 1.50617 | − | 0.602978i | ||||
\(683\) | −37.3983 | − | 7.20792i | −1.43100 | − | 0.275804i | −0.585891 | − | 0.810390i | \(-0.699255\pi\) |
−0.845114 | + | 0.534586i | \(0.820467\pi\) | |||||||
\(684\) | 1.72900 | + | 2.42804i | 0.0661100 | + | 0.0928386i | ||||
\(685\) | 37.7100 | + | 11.0727i | 1.44083 | + | 0.423065i | ||||
\(686\) | 28.6525 | − | 16.7835i | 1.09396 | − | 0.640797i | ||||
\(687\) | −1.56262 | − | 10.8682i | −0.0596176 | − | 0.414649i | ||||
\(688\) | −27.4850 | + | 14.1695i | −1.04786 | + | 0.540207i | ||||
\(689\) | 14.5348 | + | 25.1750i | 0.553731 | + | 0.959091i | ||||
\(690\) | 30.9373 | − | 10.7946i | 1.17776 | − | 0.410944i | ||||
\(691\) | −8.67349 | + | 15.0229i | −0.329955 | + | 0.571499i | −0.982503 | − | 0.186249i | \(-0.940367\pi\) |
0.652548 | + | 0.757748i | \(0.273700\pi\) | |||||||
\(692\) | 14.9180 | + | 9.58720i | 0.567096 | + | 0.364451i | ||||
\(693\) | −2.80622 | − | 7.66007i | −0.106600 | − | 0.290982i | ||||
\(694\) | −6.90840 | − | 15.1273i | −0.262239 | − | 0.574224i | ||||
\(695\) | 8.24295 | − | 7.85963i | 0.312673 | − | 0.298133i | ||||
\(696\) | 8.52736 | − | 0.814264i | 0.323229 | − | 0.0308646i | ||||
\(697\) | 7.55380 | + | 1.45588i | 0.286121 | + | 0.0551452i | ||||
\(698\) | −1.97546 | − | 1.55352i | −0.0747723 | − | 0.0588016i | ||||
\(699\) | 18.3527 | − | 5.38884i | 0.694163 | − | 0.203825i | ||||
\(700\) | −28.1975 | + | 11.8805i | −1.06577 | + | 0.449042i | ||||
\(701\) | −17.1232 | + | 11.0044i | −0.646732 | + | 0.415630i | −0.822471 | − | 0.568807i | \(-0.807405\pi\) |
0.175738 | + | 0.984437i | \(0.443769\pi\) | |||||||
\(702\) | 0.457237 | + | 9.59859i | 0.0172573 | + | 0.362276i | ||||
\(703\) | 4.70560 | − | 13.5959i | 0.177475 | − | 0.512780i | ||||
\(704\) | 2.16192 | + | 2.06139i | 0.0814804 | + | 0.0776914i | ||||
\(705\) | 29.3155 | + | 23.0540i | 1.10409 | + | 0.868262i | ||||
\(706\) | −24.6606 | + | 28.4599i | −0.928114 | + | 1.07110i | ||||
\(707\) | 2.66912 | − | 0.836080i | 0.100382 | − | 0.0314440i | ||||
\(708\) | 11.1505 | + | 3.27409i | 0.419063 | + | 0.123048i | ||||
\(709\) | −11.4104 | − | 1.08956i | −0.428525 | − | 0.0409192i | −0.121435 | − | 0.992599i | \(-0.538749\pi\) |
−0.307091 | + | 0.951680i | \(0.599355\pi\) | |||||||
\(710\) | 51.2481 | − | 40.3020i | 1.92331 | − | 1.51251i | ||||
\(711\) | 0.203338 | − | 4.26859i | 0.00762577 | − | 0.160085i | ||||
\(712\) | 2.23133 | − | 3.86478i | 0.0836227 | − | 0.144839i | ||||
\(713\) | −13.7458 | − | 34.0870i | −0.514785 | − | 1.27657i | ||||
\(714\) | −14.5743 | − | 16.2216i | −0.545431 | − | 0.607078i | ||||
\(715\) | −52.9757 | − | 34.0454i | −1.98118 | − | 1.27323i | ||||
\(716\) | −21.8339 | − | 8.74096i | −0.815970 | − | 0.326665i | ||||
\(717\) | 3.00195 | − | 4.21564i | 0.112110 | − | 0.157436i | ||||
\(718\) | −10.5245 | − | 43.3828i | −0.392773 | − | 1.61903i | ||||
\(719\) | 11.4260 | + | 16.0456i | 0.426118 | + | 0.598399i | 0.970696 | − | 0.240311i | \(-0.0772496\pi\) |
−0.544578 | + | 0.838710i | \(0.683310\pi\) | |||||||
\(720\) | −12.3620 | + | 14.2665i | −0.460704 | + | 0.531681i | ||||
\(721\) | 42.9184 | + | 21.1590i | 1.59836 | + | 0.788004i | ||||
\(722\) | 22.3278 | − | 6.55603i | 0.830955 | − | 0.243990i | ||||
\(723\) | −17.4305 | + | 3.35945i | −0.648247 | + | 0.124939i | ||||
\(724\) | 3.09156 | + | 1.59381i | 0.114897 | + | 0.0592335i | ||||
\(725\) | 51.4852 | + | 26.5424i | 1.91211 | + | 0.985762i | ||||
\(726\) | 2.62789 | − | 0.506484i | 0.0975300 | − | 0.0187974i | ||||
\(727\) | 10.1047 | − | 2.96701i | 0.374762 | − | 0.110040i | −0.0889266 | − | 0.996038i | \(-0.528344\pi\) |
0.463689 | + | 0.885998i | \(0.346525\pi\) | |||||||
\(728\) | −1.30799 | − | 19.9220i | −0.0484772 | − | 0.738358i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −34.9720 | − | 49.1113i | −1.29437 | − | 1.81769i | ||||
\(731\) | −6.76509 | − | 27.8861i | −0.250216 | − | 1.03140i | ||||
\(732\) | −3.78296 | + | 5.31242i | −0.139822 | + | 0.196353i | ||||
\(733\) | 19.7001 | + | 7.88674i | 0.727641 | + | 0.291303i | 0.705754 | − | 0.708457i | \(-0.250608\pi\) |
0.0218867 | + | 0.999760i | \(0.493033\pi\) | |||||||
\(734\) | −5.60961 | − | 3.60508i | −0.207055 | − | 0.133066i | ||||
\(735\) | 24.3914 | − | 10.7968i | 0.899690 | − | 0.398245i | ||||
\(736\) | 20.0233 | − | 21.1057i | 0.738068 | − | 0.777968i | ||||
\(737\) | −25.1052 | + | 43.4835i | −0.924762 | + | 1.60174i | ||||
\(738\) | 0.142765 | − | 2.99701i | 0.00525526 | − | 0.110321i | ||||
\(739\) | 7.75891 | − | 6.10168i | 0.285416 | − | 0.224454i | −0.465178 | − | 0.885217i | \(-0.654010\pi\) |
0.750594 | + | 0.660763i | \(0.229767\pi\) | |||||||
\(740\) | −27.0168 | − | 2.57979i | −0.993158 | − | 0.0948351i | ||||
\(741\) | −12.6187 | − | 3.70518i | −0.463559 | − | 0.136113i | ||||
\(742\) | −5.61591 | + | 25.1092i | −0.206167 | + | 0.921788i | ||||
\(743\) | −20.5581 | + | 23.7253i | −0.754204 | + | 0.870397i | −0.994969 | − | 0.100186i | \(-0.968056\pi\) |
0.240765 | + | 0.970583i | \(0.422602\pi\) | |||||||
\(744\) | 8.48174 | + | 6.67011i | 0.310956 | + | 0.244538i | ||||
\(745\) | 40.5663 | + | 38.6799i | 1.48623 | + | 1.41712i | ||||
\(746\) | −5.02239 | + | 14.5112i | −0.183883 | + | 0.531294i | ||||
\(747\) | 0.219908 | + | 4.61644i | 0.00804601 | + | 0.168907i | ||||
\(748\) | −14.4849 | + | 9.30887i | −0.529620 | + | 0.340366i | ||||
\(749\) | −2.05020 | + | 0.863816i | −0.0749126 | + | 0.0315631i | ||||
\(750\) | −29.6350 | + | 8.70163i | −1.08212 | + | 0.317739i | ||||
\(751\) | −1.55630 | − | 1.22389i | −0.0567901 | − | 0.0446602i | 0.589360 | − | 0.807870i | \(-0.299380\pi\) |
−0.646151 | + | 0.763210i | \(0.723622\pi\) | |||||||
\(752\) | 47.6079 | + | 9.17567i | 1.73608 | + | 0.334602i | ||||
\(753\) | −0.520849 | + | 0.0497350i | −0.0189808 | + | 0.00181245i | ||||
\(754\) | 42.3130 | − | 40.3454i | 1.54095 | − | 1.46929i | ||||
\(755\) | 16.2237 | + | 35.5250i | 0.590442 | + | 1.29289i | ||||
\(756\) | −2.06068 | + | 2.46630i | −0.0749462 | + | 0.0896983i | ||||
\(757\) | −14.1954 | − | 9.12281i | −0.515940 | − | 0.331574i | 0.256624 | − | 0.966511i | \(-0.417390\pi\) |
−0.772564 | + | 0.634937i | \(0.781026\pi\) | |||||||
\(758\) | −28.2126 | + | 48.8656i | −1.02473 | + | 1.77488i | ||||
\(759\) | 2.83502 | + | 14.5132i | 0.102905 | + | 0.526795i | ||||
\(760\) | −6.58260 | − | 11.4014i | −0.238776 | − | 0.413572i | ||||
\(761\) | 20.5652 | − | 10.6021i | 0.745488 | − | 0.384326i | −0.0432425 | − | 0.999065i | \(-0.513769\pi\) |
0.788731 | + | 0.614739i | \(0.210738\pi\) | |||||||
\(762\) | 1.95261 | + | 13.5807i | 0.0707354 | + | 0.491976i | ||||
\(763\) | 16.9824 | − | 39.0263i | 0.614803 | − | 1.41285i | ||||
\(764\) | −9.14530 | − | 2.68530i | −0.330865 | − | 0.0971509i | ||||
\(765\) | −10.1611 | − | 14.2693i | −0.367376 | − | 0.515907i | ||||
\(766\) | −3.67089 | − | 0.707505i | −0.132634 | − | 0.0255632i | ||||
\(767\) | −47.6016 | + | 19.0568i | −1.71879 | + | 0.688101i | ||||
\(768\) | −4.85105 | + | 19.9963i | −0.175047 | + | 0.721555i | ||||
\(769\) | −10.5578 | − | 12.1843i | −0.380723 | − | 0.439377i | 0.532753 | − | 0.846271i | \(-0.321157\pi\) |
−0.913476 | + | 0.406893i | \(0.866612\pi\) | |||||||
\(770\) | −14.1112 | − | 53.9212i | −0.508534 | − | 1.94318i | ||||
\(771\) | 19.3249 | − | 12.4194i | 0.695971 | − | 0.447273i | ||||
\(772\) | 23.3962 | − | 4.50924i | 0.842046 | − | 0.162291i | ||||
\(773\) | −25.9276 | − | 24.7219i | −0.932551 | − | 0.889185i | 0.0614995 | − | 0.998107i | \(-0.480412\pi\) |
−0.994050 | + | 0.108922i | \(0.965260\pi\) | |||||||
\(774\) | −10.3901 | + | 4.15957i | −0.373465 | + | 0.149513i | ||||
\(775\) | 23.8642 | + | 68.9510i | 0.857226 | + | 2.47679i | ||||
\(776\) | −0.692205 | + | 1.51572i | −0.0248487 | + | 0.0544111i | ||||
\(777\) | 15.4662 | + | 1.19697i | 0.554848 | + | 0.0429410i | ||||
\(778\) | −7.57910 | − | 16.5959i | −0.271724 | − | 0.594993i | ||||
\(779\) | 3.81217 | + | 1.52616i | 0.136585 | + | 0.0546805i | ||||
\(780\) | −1.18044 | + | 24.7804i | −0.0422664 | + | 0.887280i | ||||
\(781\) | 14.7116 | + | 25.4813i | 0.526424 | + | 0.911793i | ||||
\(782\) | 21.4544 | + | 33.2000i | 0.767207 | + | 1.18723i | ||||
\(783\) | 6.08408 | 0.217427 | ||||||||
\(784\) | 21.7529 | − | 27.0060i | 0.776888 | − | 0.964499i | ||||
\(785\) | −2.50135 | − | 17.3973i | −0.0892770 | − | 0.620935i | ||||
\(786\) | 5.89941 | + | 0.563326i | 0.210425 | + | 0.0200932i | ||||
\(787\) | 5.21296 | + | 21.4881i | 0.185822 | + | 0.765969i | 0.986074 | + | 0.166305i | \(0.0531838\pi\) |
−0.800252 | + | 0.599664i | \(0.795301\pi\) | |||||||
\(788\) | −11.8092 | + | 1.12764i | −0.420685 | + | 0.0401705i | ||||
\(789\) | 2.85206 | + | 8.24047i | 0.101536 | + | 0.293369i | ||||
\(790\) | 4.15520 | − | 28.9001i | 0.147835 | − | 1.02822i | ||||
\(791\) | −8.33678 | + | 4.48924i | −0.296422 | + | 0.159619i | ||||
\(792\) | −2.84295 | − | 3.28094i | −0.101020 | − | 0.116583i | ||||
\(793\) | −1.36915 | − | 28.7419i | −0.0486198 | − | 1.02066i | ||||
\(794\) | 2.16952 | + | 1.11846i | 0.0769933 | + | 0.0396928i | ||||
\(795\) | −6.75993 | + | 19.5315i | −0.239750 | + | 0.692712i | ||||
\(796\) | −5.29129 | + | 21.8110i | −0.187545 | + | 0.773070i | ||||
\(797\) | −0.228826 | + | 1.59152i | −0.00810544 | + | 0.0563746i | −0.993473 | − | 0.114070i | \(-0.963611\pi\) |
0.985367 | + | 0.170444i | \(0.0545203\pi\) | |||||||
\(798\) | −6.00029 | − | 9.97468i | −0.212408 | − | 0.353100i | ||||
\(799\) | −18.6901 | + | 40.9257i | −0.661209 | + | 1.44785i | ||||
\(800\) | −41.7988 | + | 39.8551i | −1.47781 | + | 1.40909i | ||||
\(801\) | 1.83854 | − | 2.58187i | 0.0649618 | − | 0.0912261i | ||||
\(802\) | 0.166516 | − | 0.130950i | 0.00587988 | − | 0.00462399i | ||||
\(803\) | 24.1845 | − | 12.4680i | 0.853451 | − | 0.439984i | ||||
\(804\) | 19.7808 | 0.697616 | ||||||||
\(805\) | −46.7449 | + | 12.3588i | −1.64754 | + | 0.435589i | ||||
\(806\) | 73.6448 | 2.59403 | ||||||||
\(807\) | 5.53090 | − | 2.85138i | 0.194697 | − | 0.100373i | ||||
\(808\) | 1.17000 | − | 0.920099i | 0.0411605 | − | 0.0323690i | ||||
\(809\) | −15.2410 | + | 21.4030i | −0.535846 | + | 0.752491i | −0.990400 | − | 0.138229i | \(-0.955859\pi\) |
0.454554 | + | 0.890719i | \(0.349799\pi\) | |||||||
\(810\) | −4.94475 | + | 4.71481i | −0.173741 | + | 0.165661i | ||||
\(811\) | −12.3925 | + | 27.1357i | −0.435158 | + | 0.952864i | 0.557303 | + | 0.830309i | \(0.311836\pi\) |
−0.992462 | + | 0.122555i | \(0.960891\pi\) | |||||||
\(812\) | 19.5503 | − | 0.351190i | 0.686083 | − | 0.0123244i | ||||
\(813\) | 3.42003 | − | 23.7868i | 0.119946 | − | 0.834241i | ||||
\(814\) | 7.64193 | − | 31.5004i | 0.267849 | − | 1.10409i | ||||
\(815\) | −7.37889 | + | 21.3199i | −0.258471 | + | 0.746803i | ||||
\(816\) | −20.2416 | − | 10.4353i | −0.708599 | − | 0.365308i | ||||
\(817\) | −0.728810 | − | 15.2996i | −0.0254978 | − | 0.535265i | ||||
\(818\) | 15.8164 | + | 18.2531i | 0.553006 | + | 0.638203i | ||||
\(819\) | 0.420212 | − | 14.1738i | 0.0146834 | − | 0.495272i | ||||
\(820\) | 1.10238 | − | 7.66722i | 0.0384968 | − | 0.267751i | ||||
\(821\) | 9.42126 | + | 27.2210i | 0.328804 | + | 0.950018i | 0.981343 | + | 0.192263i | \(0.0615826\pi\) |
−0.652539 | + | 0.757755i | \(0.726296\pi\) | |||||||
\(822\) | 18.4087 | − | 1.75782i | 0.642078 | − | 0.0613110i | ||||
\(823\) | 5.25151 | + | 21.6470i | 0.183056 | + | 0.754568i | 0.987114 | + | 0.160017i | \(0.0511550\pi\) |
−0.804058 | + | 0.594551i | \(0.797330\pi\) | |||||||
\(824\) | 25.3489 | + | 2.42053i | 0.883070 | + | 0.0843230i | ||||
\(825\) | −4.17778 | − | 29.0571i | −0.145452 | − | 1.01164i | ||||
\(826\) | −42.4285 | − | 16.1078i | −1.47628 | − | 0.560462i | ||||
\(827\) | −40.2111 | −1.39828 | −0.699139 | − | 0.714985i | \(-0.746433\pi\) | ||||
−0.699139 | + | 0.714985i | \(0.746433\pi\) | |||||||
\(828\) | 4.39313 | − | 3.82604i | 0.152672 | − | 0.132964i | ||||
\(829\) | −22.8967 | − | 39.6583i | −0.795236 | − | 1.37739i | −0.922689 | − | 0.385544i | \(-0.874014\pi\) |
0.127454 | − | 0.991845i | \(-0.459320\pi\) | |||||||
\(830\) | −1.50247 | + | 31.5407i | −0.0521515 | + | 1.09480i | ||||
\(831\) | 13.9854 | + | 5.59889i | 0.485147 | + | 0.194223i | ||||
\(832\) | 2.15695 | + | 4.72306i | 0.0747788 | + | 0.163743i | ||||
\(833\) | 19.5952 | + | 25.5251i | 0.678932 | + | 0.884393i | ||||
\(834\) | 2.22621 | − | 4.87471i | 0.0770872 | − | 0.168797i | ||||
\(835\) | 27.8716 | + | 80.5297i | 0.964537 | + | 2.78685i | ||||
\(836\) | −8.53247 | + | 3.41589i | −0.295102 | + | 0.118141i | ||||
\(837\) | 5.54653 | + | 5.28861i | 0.191716 | + | 0.182801i | ||||
\(838\) | −16.1863 | + | 3.11965i | −0.559145 | + | 0.107766i | ||||
\(839\) | 22.0348 | − | 14.1609i | 0.760727 | − | 0.488889i | −0.101860 | − | 0.994799i | \(-0.532479\pi\) |
0.862587 | + | 0.505909i | \(0.168843\pi\) | |||||||
\(840\) | 10.0957 | − | 9.97853i | 0.348336 | − | 0.344292i | ||||
\(841\) | −5.24941 | − | 6.05814i | −0.181014 | − | 0.208901i | ||||
\(842\) | −16.8411 | + | 69.4198i | −0.580381 | + | 2.39236i | ||||
\(843\) | −19.8500 | + | 7.94676i | −0.683672 | + | 0.273701i | ||||
\(844\) | −0.743902 | − | 0.143375i | −0.0256062 | − | 0.00493518i | ||||
\(845\) | −34.7572 | − | 48.8096i | −1.19568 | − | 1.67910i | ||||
\(846\) | 16.8371 | + | 4.94381i | 0.578871 | + | 0.169972i | ||||
\(847\) | −3.92389 | + | 0.445937i | −0.134826 | + | 0.0153226i | ||||
\(848\) | 3.82391 | + | 26.5959i | 0.131314 | + | 0.913307i | ||||
\(849\) | −7.40021 | + | 3.81507i | −0.253975 | + | 0.130933i | ||||
\(850\) | −39.2361 | − | 67.9589i | −1.34579 | − | 2.33097i | ||||
\(851\) | −27.3427 | − | 6.56058i | −0.937296 | − | 0.224894i | ||||
\(852\) | 5.79577 | − | 10.0386i | 0.198560 | − | 0.343916i | ||||
\(853\) | 18.5186 | + | 11.9012i | 0.634065 | + | 0.407489i | 0.817813 | − | 0.575484i | \(-0.195186\pi\) |
−0.183747 | + | 0.982974i | \(0.558823\pi\) | |||||||
\(854\) | 16.3299 | − | 19.5442i | 0.558797 | − | 0.668788i | ||||
\(855\) | −3.88436 | − | 8.50556i | −0.132842 | − | 0.290884i | ||||
\(856\) | −0.856842 | + | 0.816997i | −0.0292862 | + | 0.0279244i | ||||
\(857\) | −14.5952 | + | 1.39367i | −0.498561 | + | 0.0476068i | −0.341308 | − | 0.939951i | \(-0.610870\pi\) |
−0.157253 | + | 0.987558i | \(0.550264\pi\) | |||||||
\(858\) | −29.0944 | − | 5.60749i | −0.993267 | − | 0.191437i | ||||
\(859\) | −41.6913 | − | 32.7864i | −1.42249 | − | 1.11866i | −0.974440 | − | 0.224648i | \(-0.927877\pi\) |
−0.448048 | − | 0.894009i | \(-0.647881\pi\) | |||||||
\(860\) | −27.7232 | + | 8.14025i | −0.945352 | + | 0.277580i | ||||
\(861\) | −0.551285 | + | 4.39303i | −0.0187877 | + | 0.149714i | ||||
\(862\) | −31.1820 | + | 20.0395i | −1.06206 | + | 0.682548i | ||||
\(863\) | −1.94196 | − | 40.7667i | −0.0661050 | − | 1.38772i | −0.751591 | − | 0.659630i | \(-0.770713\pi\) |
0.685486 | − | 0.728086i | \(-0.259590\pi\) | |||||||
\(864\) | −1.98407 | + | 5.73260i | −0.0674995 | + | 0.195027i | ||||
\(865\) | −40.2600 | − | 38.3879i | −1.36888 | − | 1.30523i | ||||
\(866\) | −50.5469 | − | 39.7505i | −1.71765 | − | 1.35078i | ||||
\(867\) | 2.70635 | − | 3.12330i | 0.0919125 | − | 0.106073i | ||||
\(868\) | 18.1283 | + | 16.6740i | 0.615314 | + | 0.565954i | ||||
\(869\) | 12.6430 | + | 3.71231i | 0.428883 | + | 0.125931i | ||||
\(870\) | 41.3799 | + | 3.95130i | 1.40291 | + | 0.133962i | ||||
\(871\) | −68.6030 | + | 53.9500i | −2.32452 | + | 1.82803i | ||||
\(872\) | 1.07770 | − | 22.6237i | 0.0364955 | − | 0.766135i | ||||
\(873\) | −0.591741 | + | 1.02493i | −0.0200274 | + | 0.0346885i | ||||
\(874\) | 7.89124 | + | 19.5687i | 0.266925 | + | 0.661922i | ||||
\(875\) | 44.5907 | − | 9.42779i | 1.50744 | − | 0.318717i | ||||
\(876\) | −9.01762 | − | 5.79527i | −0.304677 | − | 0.195804i | ||||
\(877\) | −37.1896 | − | 14.8885i | −1.25580 | − | 0.502748i | −0.354142 | − | 0.935192i | \(-0.615227\pi\) |
−0.901661 | + | 0.432444i | \(0.857651\pi\) | |||||||
\(878\) | −20.0214 | + | 28.1162i | −0.675691 | + | 0.948875i | ||||
\(879\) | −1.07490 | − | 4.43081i | −0.0362555 | − | 0.149447i | ||||
\(880\) | −33.7629 | − | 47.4134i | −1.13815 | − | 1.59830i | ||||
\(881\) | 1.07912 | − | 1.24537i | 0.0363565 | − | 0.0419576i | −0.737280 | − | 0.675587i | \(-0.763890\pi\) |
0.773637 | + | 0.633630i | \(0.218436\pi\) | |||||||
\(882\) | 8.76650 | − | 8.98167i | 0.295183 | − | 0.302428i | ||||
\(883\) | −29.7754 | + | 8.74285i | −1.00202 | + | 0.294220i | −0.741286 | − | 0.671190i | \(-0.765784\pi\) |
−0.260737 | + | 0.965410i | \(0.583965\pi\) | |||||||
\(884\) | −29.3877 | + | 5.66401i | −0.988415 | + | 0.190501i | ||||
\(885\) | −32.4032 | − | 16.7050i | −1.08922 | − | 0.561533i | ||||
\(886\) | −34.0697 | − | 17.5642i | −1.14460 | − | 0.590080i | ||||
\(887\) | 3.95618 | − | 0.762491i | 0.132835 | − | 0.0256019i | −0.122400 | − | 0.992481i | \(-0.539059\pi\) |
0.255236 | + | 0.966879i | \(0.417847\pi\) | |||||||
\(888\) | 7.92072 | − | 2.32573i | 0.265802 | − | 0.0780465i | ||||
\(889\) | −1.32641 | − | 20.2026i | −0.0444863 | − | 0.677573i | ||||
\(890\) | 14.1813 | − | 16.3662i | 0.475360 | − | 0.548595i | ||||
\(891\) | −1.78855 | − | 2.51166i | −0.0599186 | − | 0.0841439i | ||||
\(892\) | 3.03441 | + | 12.5080i | 0.101600 | + | 0.418800i | ||||
\(893\) | −13.9305 | + | 19.5627i | −0.466167 | + | 0.654641i | ||||
\(894\) | 24.4842 | + | 9.80201i | 0.818875 | + | 0.327828i | ||||
\(895\) | 62.0654 | + | 39.8870i | 2.07462 | + | 1.33328i | ||||
\(896\) | 8.52736 | − | 26.1485i | 0.284879 | − | 0.873561i | ||||
\(897\) | −4.80099 | + | 25.2511i | −0.160300 | + | 0.843109i | ||||
\(898\) | −2.93661 | + | 5.08636i | −0.0979960 | + | 0.169734i | ||||
\(899\) | 2.21860 | − | 46.5742i | 0.0739946 | − | 1.55334i | ||||
\(900\) | −9.09071 | + | 7.14901i | −0.303024 | + | 0.238300i | ||||
\(901\) | −24.8209 | − | 2.37011i | −0.826905 | − | 0.0789598i | ||||
\(902\) | 8.87671 | + | 2.60644i | 0.295562 | + | 0.0867849i | ||||
\(903\) | 15.7598 | − | 4.93664i | 0.524455 | − | 0.164281i | ||||
\(904\) | −3.29973 | + | 3.80809i | −0.109747 | + | 0.126655i | ||||
\(905\) | −8.57671 | − | 6.74480i | −0.285099 | − | 0.224205i | ||||
\(906\) | 13.2993 | + | 12.6808i | 0.441838 | + | 0.421292i | ||||
\(907\) | 7.99166 | − | 23.0904i | 0.265359 | − | 0.766704i | −0.731073 | − | 0.682299i | \(-0.760980\pi\) |
0.996432 | − | 0.0844044i | \(-0.0268987\pi\) | |||||||
\(908\) | 0.316704 | + | 6.64844i | 0.0105102 | + | 0.220636i | ||||
\(909\) | 0.889346 | − | 0.571548i | 0.0294977 | − | 0.0189570i | ||||
\(910\) | 12.0631 | − | 96.1277i | 0.399889 | − | 3.18660i | ||||
\(911\) | 28.2991 | − | 8.30937i | 0.937591 | − | 0.275302i | 0.222980 | − | 0.974823i | \(-0.428422\pi\) |
0.714612 | + | 0.699522i | \(0.246603\pi\) | |||||||
\(912\) | −9.55527 | − | 7.51434i | −0.316406 | − | 0.248825i | ||||
\(913\) | −13.9929 | − | 2.69692i | −0.463099 | − | 0.0892550i | ||||
\(914\) | −13.1621 | + | 1.25683i | −0.435365 | + | 0.0415723i | ||||
\(915\) | 14.8065 | − | 14.1180i | 0.489488 | − | 0.466725i | ||||
\(916\) | −5.54071 | − | 12.1325i | −0.183070 | − | 0.400868i | ||||
\(917\) | −8.61524 | − | 1.50050i | −0.284500 | − | 0.0495508i | ||||
\(918\) | −6.93389 | − | 4.45614i | −0.228852 | − | 0.147075i | ||||
\(919\) | 13.0544 | − | 22.6108i | 0.430623 | − | 0.745862i | −0.566304 | − | 0.824197i | \(-0.691627\pi\) |
0.996927 | + | 0.0783351i | \(0.0249604\pi\) | |||||||
\(920\) | −20.9218 | + | 14.9777i | −0.689772 | + | 0.493801i | ||||
\(921\) | −3.38311 | − | 5.85971i | −0.111477 | − | 0.193084i | ||||
\(922\) | −47.4139 | + | 24.4436i | −1.56149 | + | 0.805006i | ||||
\(923\) | 7.27844 | + | 50.6227i | 0.239573 | + | 1.66627i | ||||
\(924\) | −5.89223 | − | 7.96764i | −0.193840 | − | 0.262116i | ||||
\(925\) | 53.5599 | + | 15.7266i | 1.76104 | + | 0.517088i | ||||
\(926\) | 27.4470 | + | 38.5439i | 0.901965 | + | 1.26663i | ||||
\(927\) | 17.7590 | + | 3.42277i | 0.583283 | + | 0.112419i | ||||
\(928\) | 34.2638 | − | 13.7171i | 1.12476 | − | 0.450287i | ||||
\(929\) | −10.5039 | + | 43.2978i | −0.344623 | + | 1.42056i | 0.490956 | + | 0.871185i | \(0.336648\pi\) |
−0.835579 | + | 0.549371i | \(0.814867\pi\) | |||||||
\(930\) | 34.2891 | + | 39.5718i | 1.12439 | + | 1.29761i | ||||
\(931\) | 7.69206 | + | 15.3582i | 0.252097 | + | 0.503346i | ||||
\(932\) | 19.5463 | − | 12.5617i | 0.640262 | − | 0.411471i | ||||
\(933\) | 0.592718 | − | 0.114237i | 0.0194047 | − | 0.00373995i | ||||
\(934\) | 18.5841 | + | 17.7199i | 0.608090 | + | 0.579813i | ||||
\(935\) | 50.1442 | − | 20.0747i | 1.63989 | − | 0.656513i | ||||
\(936\) | −2.46806 | − | 7.13099i | −0.0806711 | − | 0.233084i | ||||
\(937\) | −20.6272 | + | 45.1672i | −0.673860 | + | 1.47555i | 0.195161 | + | 0.980771i | \(0.437477\pi\) |
−0.869021 | + | 0.494776i | \(0.835250\pi\) | |||||||
\(938\) | −77.0173 | − | 5.96055i | −2.51471 | − | 0.194619i | ||||
\(939\) | 2.58496 | + | 5.66027i | 0.0843569 | + | 0.184716i | ||||
\(940\) | 42.0577 | + | 16.8374i | 1.37177 | + | 0.549174i | ||||
\(941\) | −1.31579 | + | 27.6219i | −0.0428936 | + | 0.900447i | 0.870200 | + | 0.492698i | \(0.163989\pi\) |
−0.913094 | + | 0.407749i | \(0.866314\pi\) | |||||||
\(942\) | −4.13498 | − | 7.16200i | −0.134725 | − | 0.233351i | ||||
\(943\) | 2.24169 | − | 7.70606i | 0.0729995 | − | 0.250944i | ||||
\(944\) | −47.3937 | −1.54253 | ||||||||
\(945\) | 7.81168 | − | 6.37354i | 0.254114 | − | 0.207331i | ||||
\(946\) | −4.91112 | − | 34.1576i | −0.159674 | − | 1.11056i | ||||
\(947\) | −20.5224 | − | 1.95965i | −0.666888 | − | 0.0636800i | −0.243879 | − | 0.969806i | \(-0.578420\pi\) |
−0.423009 | + | 0.906126i | \(0.639026\pi\) | |||||||
\(948\) | −1.22384 | − | 5.04474i | −0.0397485 | − | 0.163846i | ||||
\(949\) | 47.0805 | − | 4.49564i | 1.52830 | − | 0.145935i | ||||
\(950\) | −13.7000 | − | 39.5835i | −0.444487 | − | 1.28426i | ||||
\(951\) | −0.288959 | + | 2.00975i | −0.00937013 | + | 0.0651707i | ||||
\(952\) | 14.5700 | + | 8.99796i | 0.472216 | + | 0.291625i | ||||
\(953\) | 14.4615 | + | 16.6894i | 0.468453 | + | 0.540623i | 0.939981 | − | 0.341228i | \(-0.110843\pi\) |
−0.471528 | + | 0.881851i | \(0.656297\pi\) | |||||||
\(954\) | 0.462728 | + | 9.71385i | 0.0149814 | + | 0.314498i | ||||
\(955\) | 26.5760 | + | 13.7009i | 0.859980 | + | 0.443351i | ||||
\(956\) | 2.05613 | − | 5.94080i | 0.0665000 | − | 0.192139i | ||||
\(957\) | −4.42276 | + | 18.2309i | −0.142968 | + | 0.589320i | ||||
\(958\) | 3.43457 | − | 23.8880i | 0.110966 | − | 0.771786i | ||||
\(959\) | −27.2836 | + | 0.490105i | −0.881033 | + | 0.0158263i | ||||
\(960\) | −1.53358 | + | 3.35806i | −0.0494960 | + | 0.108381i | ||||
\(961\) | 20.0716 | − | 19.1382i | 0.647471 | − | 0.617363i | ||||
\(962\) | 32.6816 | − | 45.8948i | 1.05370 | − | 1.47971i | ||||
\(963\) | −0.660972 | + | 0.519794i | −0.0212995 | + | 0.0167501i | ||||
\(964\) | −19.1660 | + | 9.88076i | −0.617295 | + | 0.318238i | ||||
\(965\) | −74.7441 | −2.40610 | ||||||||
\(966\) | −18.2577 | + | 13.5730i | −0.587433 | + | 0.436705i | ||||
\(967\) | 13.8248 | 0.444575 | 0.222287 | − | 0.974981i | \(-0.428648\pi\) | ||||
0.222287 | + | 0.974981i | \(0.428648\pi\) | |||||||
\(968\) | −1.86795 | + | 0.962997i | −0.0600383 | + | 0.0309519i | ||||
\(969\) | 8.86695 | − | 6.97304i | 0.284847 | − | 0.224006i | ||||
\(970\) | −4.69027 | + | 6.58656i | −0.150595 | + | 0.211482i | ||||
\(971\) | −24.6535 | + | 23.5071i | −0.791168 | + | 0.754377i | −0.973458 | − | 0.228867i | \(-0.926498\pi\) |
0.182289 | + | 0.983245i | \(0.441649\pi\) | |||||||
\(972\) | −0.504618 | + | 1.10496i | −0.0161856 | + | 0.0354416i | ||||
\(973\) | −3.83030 | + | 6.91833i | −0.122794 | + | 0.221791i | ||||
\(974\) | −5.07657 | + | 35.3083i | −0.162664 | + | 1.13135i | ||||
\(975\) | 12.0299 | − | 49.5878i | 0.385264 | − | 1.58808i | ||||
\(976\) | 8.69891 | − | 25.1339i | 0.278445 | − | 0.804515i | ||||
\(977\) | 44.8336 | + | 23.1133i | 1.43436 | + | 0.739462i | 0.987863 | − | 0.155326i | \(-0.0496428\pi\) |
0.446492 | + | 0.894788i | \(0.352673\pi\) | |||||||
\(978\) | 0.505097 | + | 10.6033i | 0.0161512 | + | 0.339056i | ||||
\(979\) | 6.40004 | + | 7.38604i | 0.204546 | + | 0.236059i | ||||
\(980\) | 24.7339 | − | 20.9314i | 0.790094 | − | 0.668628i | ||||
\(981\) | 2.28937 | − | 15.9229i | 0.0730938 | − | 0.508379i | ||||
\(982\) | −15.4967 | − | 44.7749i | −0.494521 | − | 1.42882i | ||||
\(983\) | −10.1446 | + | 0.968689i | −0.323562 | + | 0.0308964i | −0.255573 | − | 0.966790i | \(-0.582264\pi\) |
−0.0679884 | + | 0.997686i | \(0.521658\pi\) | |||||||
\(984\) | 0.555478 | + | 2.28971i | 0.0177080 | + | 0.0729933i | ||||
\(985\) | 37.0452 | + | 3.53739i | 1.18036 | + | 0.112711i | ||||
\(986\) | 7.13667 | + | 49.6366i | 0.227278 | + | 1.58075i | ||||
\(987\) | −24.2083 | − | 9.19057i | −0.770558 | − | 0.292539i | ||||
\(988\) | −15.9754 | −0.508246 | ||||||||
\(989\) | −29.6204 | + | 4.33475i | −0.941873 | + | 0.137837i | ||||
\(990\) | −10.5333 | − | 18.2442i | −0.334771 | − | 0.579840i | ||||
\(991\) | −0.281295 | + | 5.90510i | −0.00893562 | + | 0.187582i | 0.989986 | + | 0.141163i | \(0.0450840\pi\) |
−0.998922 | + | 0.0464192i | \(0.985219\pi\) | |||||||
\(992\) | 43.1601 | + | 17.2787i | 1.37033 | + | 0.548599i | ||||
\(993\) | −1.12017 | − | 2.45284i | −0.0355476 | − | 0.0778384i | ||||
\(994\) | −25.5910 | + | 37.3391i | −0.811696 | + | 1.18432i | ||||
\(995\) | 29.2474 | − | 64.0429i | 0.927206 | − | 2.03030i | ||||
\(996\) | 1.83619 | + | 5.30532i | 0.0581819 | + | 0.168106i | ||||
\(997\) | 37.9502 | − | 15.1930i | 1.20189 | − | 0.481166i | 0.317657 | − | 0.948206i | \(-0.397104\pi\) |
0.884236 | + | 0.467040i | \(0.154680\pi\) | |||||||
\(998\) | 47.6724 | + | 45.4556i | 1.50904 | + | 1.43887i | ||||
\(999\) | 5.75721 | − | 1.10961i | 0.182150 | − | 0.0351066i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.y.a.163.4 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.a.25.13 | ✓ | 320 | |
23.12 | even | 11 | inner | 483.2.y.a.58.13 | yes | 320 | |
161.81 | even | 33 | inner | 483.2.y.a.403.4 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.a.25.13 | ✓ | 320 | 7.4 | even | 3 | inner | |
483.2.y.a.58.13 | yes | 320 | 23.12 | even | 11 | inner | |
483.2.y.a.163.4 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.a.403.4 | yes | 320 | 161.81 | even | 33 | inner |