Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.16 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.717593 | + | 1.21863i | 0.507415 | + | 0.861702i | ||||
\(3\) | 1.11494 | − | 1.32549i | 0.643709 | − | 0.765270i | ||||
\(4\) | −0.970121 | + | 1.74896i | −0.485061 | + | 0.874481i | ||||
\(5\) | 1.20583 | + | 0.323102i | 0.539266 | + | 0.144496i | 0.518164 | − | 0.855282i | \(-0.326616\pi\) |
0.0211020 | + | 0.999777i | \(0.493283\pi\) | |||||||
\(6\) | 2.41535 | + | 0.407536i | 0.986062 | + | 0.166376i | ||||
\(7\) | 0.140266 | − | 0.242948i | 0.0530156 | − | 0.0918256i | −0.838300 | − | 0.545210i | \(-0.816450\pi\) |
0.891315 | + | 0.453384i | \(0.149783\pi\) | |||||||
\(8\) | −2.82749 | + | 0.0728225i | −0.999669 | + | 0.0257466i | ||||
\(9\) | −0.513832 | − | 2.95567i | −0.171277 | − | 0.985223i | ||||
\(10\) | 0.471556 | + | 1.70132i | 0.149119 | + | 0.538005i | ||||
\(11\) | −3.07444 | + | 0.823794i | −0.926979 | + | 0.248383i | −0.690566 | − | 0.723269i | \(-0.742639\pi\) |
−0.236413 | + | 0.971653i | \(0.575972\pi\) | |||||||
\(12\) | 1.23660 | + | 3.23586i | 0.356976 | + | 0.934113i | ||||
\(13\) | 2.76539 | + | 0.740984i | 0.766982 | + | 0.205512i | 0.621038 | − | 0.783781i | \(-0.286711\pi\) |
0.145944 | + | 0.989293i | \(0.453378\pi\) | |||||||
\(14\) | 0.396717 | − | 0.00340517i | 0.106027 | − | 0.000910071i | ||||
\(15\) | 1.77270 | − | 1.23808i | 0.457708 | − | 0.319671i | ||||
\(16\) | −2.11773 | − | 3.39341i | −0.529432 | − | 0.848352i | ||||
\(17\) | 3.72031i | 0.902309i | 0.892446 | + | 0.451154i | \(0.148988\pi\) | ||||
−0.892446 | + | 0.451154i | \(0.851012\pi\) | |||||||
\(18\) | 3.23315 | − | 2.74714i | 0.762060 | − | 0.647507i | ||||
\(19\) | −4.10860 | − | 4.10860i | −0.942577 | − | 0.942577i | 0.0558614 | − | 0.998439i | \(-0.482209\pi\) |
−0.998439 | + | 0.0558614i | \(0.982209\pi\) | |||||||
\(20\) | −1.73490 | + | 1.79551i | −0.387935 | + | 0.401488i | ||||
\(21\) | −0.165636 | − | 0.456792i | −0.0361448 | − | 0.0996802i | ||||
\(22\) | −3.21010 | − | 3.15546i | −0.684395 | − | 0.672747i | ||||
\(23\) | −1.57595 | + | 0.909876i | −0.328609 | + | 0.189722i | −0.655223 | − | 0.755435i | \(-0.727425\pi\) |
0.326615 | + | 0.945158i | \(0.394092\pi\) | |||||||
\(24\) | −3.05595 | + | 3.82899i | −0.623792 | + | 0.781590i | ||||
\(25\) | −2.98049 | − | 1.72078i | −0.596097 | − | 0.344157i | ||||
\(26\) | 1.08144 | + | 3.90172i | 0.212088 | + | 0.765189i | ||||
\(27\) | −4.49059 | − | 2.61431i | −0.864215 | − | 0.503123i | ||||
\(28\) | 0.288831 | + | 0.481009i | 0.0545840 | + | 0.0909021i | ||||
\(29\) | −3.83006 | + | 1.02626i | −0.711224 | + | 0.190572i | −0.596253 | − | 0.802797i | \(-0.703344\pi\) |
−0.114972 | + | 0.993369i | \(0.536678\pi\) | |||||||
\(30\) | 2.78084 | + | 1.27183i | 0.507709 | + | 0.232203i | ||||
\(31\) | 8.81101 | − | 5.08704i | 1.58250 | − | 0.913659i | 0.588012 | − | 0.808852i | \(-0.299911\pi\) |
0.994493 | − | 0.104807i | \(-0.0334225\pi\) | |||||||
\(32\) | 2.61564 | − | 5.01582i | 0.462385 | − | 0.886679i | ||||
\(33\) | −2.33588 | + | 4.99361i | −0.406625 | + | 0.869276i | ||||
\(34\) | −4.53369 | + | 2.66967i | −0.777521 | + | 0.457845i | ||||
\(35\) | 0.247635 | − | 0.247635i | 0.0418579 | − | 0.0418579i | ||||
\(36\) | 5.66783 | + | 1.96868i | 0.944638 | + | 0.328114i | ||||
\(37\) | 1.76964 | + | 1.76964i | 0.290928 | + | 0.290928i | 0.837447 | − | 0.546519i | \(-0.184047\pi\) |
−0.546519 | + | 0.837447i | \(0.684047\pi\) | |||||||
\(38\) | 2.05856 | − | 7.95516i | 0.333943 | − | 1.29050i | ||||
\(39\) | 4.06540 | − | 2.83934i | 0.650985 | − | 0.454658i | ||||
\(40\) | −3.43301 | − | 0.825757i | −0.542807 | − | 0.130564i | ||||
\(41\) | 2.66819 | + | 4.62144i | 0.416701 | + | 0.721747i | 0.995605 | − | 0.0936482i | \(-0.0298529\pi\) |
−0.578904 | + | 0.815395i | \(0.696520\pi\) | |||||||
\(42\) | 0.437801 | − | 0.529640i | 0.0675542 | − | 0.0817253i | ||||
\(43\) | −1.84748 | − | 6.89490i | −0.281738 | − | 1.05146i | −0.951190 | − | 0.308606i | \(-0.900138\pi\) |
0.669452 | − | 0.742856i | \(-0.266529\pi\) | |||||||
\(44\) | 1.54180 | − | 6.17626i | 0.232435 | − | 0.931106i | ||||
\(45\) | 0.335387 | − | 3.73007i | 0.0499965 | − | 0.556046i | ||||
\(46\) | −2.23969 | − | 1.26758i | −0.330225 | − | 0.186895i | ||||
\(47\) | −5.48486 | + | 9.50006i | −0.800049 | + | 1.38573i | 0.119534 | + | 0.992830i | \(0.461860\pi\) |
−0.919583 | + | 0.392896i | \(0.871473\pi\) | |||||||
\(48\) | −6.85905 | − | 0.976412i | −0.990019 | − | 0.140933i | ||||
\(49\) | 3.46065 | + | 5.99402i | 0.494379 | + | 0.856289i | ||||
\(50\) | −0.0417747 | − | 4.86693i | −0.00590783 | − | 0.688288i | ||||
\(51\) | 4.93123 | + | 4.14791i | 0.690510 | + | 0.580824i | ||||
\(52\) | −3.97872 | + | 4.11772i | −0.551749 | + | 0.571025i | ||||
\(53\) | 8.58403 | − | 8.58403i | 1.17911 | − | 1.17911i | 0.199135 | − | 0.979972i | \(-0.436187\pi\) |
0.979972 | − | 0.199135i | \(-0.0638133\pi\) | |||||||
\(54\) | −0.0365433 | − | 7.34838i | −0.00497291 | − | 0.999988i | ||||
\(55\) | −3.97344 | −0.535778 | ||||||||
\(56\) | −0.378909 | + | 0.697147i | −0.0506338 | + | 0.0931602i | ||||
\(57\) | −10.0267 | + | 0.865067i | −1.32807 | + | 0.114581i | ||||
\(58\) | −3.99906 | − | 3.93099i | −0.525102 | − | 0.516164i | ||||
\(59\) | 1.44299 | − | 5.38532i | 0.187862 | − | 0.701109i | −0.806138 | − | 0.591727i | \(-0.798446\pi\) |
0.994000 | − | 0.109382i | \(-0.0348871\pi\) | |||||||
\(60\) | 0.445622 | + | 4.30146i | 0.0575295 | + | 0.555317i | ||||
\(61\) | 1.66977 | + | 6.23168i | 0.213793 | + | 0.797885i | 0.986588 | + | 0.163230i | \(0.0521911\pi\) |
−0.772796 | + | 0.634655i | \(0.781142\pi\) | |||||||
\(62\) | 12.5219 | + | 7.08695i | 1.59029 | + | 0.900043i | ||||
\(63\) | −0.790146 | − | 0.289745i | −0.0995491 | − | 0.0365045i | ||||
\(64\) | 7.98939 | − | 0.411810i | 0.998674 | − | 0.0514762i | ||||
\(65\) | 3.09519 | + | 1.78701i | 0.383911 | + | 0.221651i | ||||
\(66\) | −7.76158 | + | 0.736806i | −0.955384 | + | 0.0906945i | ||||
\(67\) | −1.00652 | + | 3.75640i | −0.122967 | + | 0.458918i | −0.999759 | − | 0.0219514i | \(-0.993012\pi\) |
0.876792 | + | 0.480869i | \(0.159679\pi\) | |||||||
\(68\) | −6.50668 | − | 3.60915i | −0.789051 | − | 0.437674i | ||||
\(69\) | −0.551057 | + | 3.10336i | −0.0663395 | + | 0.373600i | ||||
\(70\) | 0.479476 | + | 0.124074i | 0.0573083 | + | 0.0148297i | ||||
\(71\) | 10.6808i | 1.26758i | 0.773506 | + | 0.633789i | \(0.218501\pi\) | ||||
−0.773506 | + | 0.633789i | \(0.781499\pi\) | |||||||
\(72\) | 1.66809 | + | 8.31970i | 0.196587 | + | 0.980486i | ||||
\(73\) | 9.30419i | 1.08897i | 0.838770 | + | 0.544487i | \(0.183275\pi\) | ||||
−0.838770 | + | 0.544487i | \(0.816725\pi\) | |||||||
\(74\) | −0.886658 | + | 3.42643i | −0.103072 | + | 0.398314i | ||||
\(75\) | −5.60393 | + | 2.03203i | −0.647086 | + | 0.234639i | ||||
\(76\) | 11.1716 | − | 3.19994i | 1.28147 | − | 0.367058i | ||||
\(77\) | −0.231101 | + | 0.862479i | −0.0263364 | + | 0.0982886i | ||||
\(78\) | 6.37741 | + | 2.91673i | 0.722099 | + | 0.330255i | ||||
\(79\) | 8.70990 | + | 5.02866i | 0.979940 | + | 0.565769i | 0.902252 | − | 0.431209i | \(-0.141913\pi\) |
0.0776882 | + | 0.996978i | \(0.475246\pi\) | |||||||
\(80\) | −1.45721 | − | 4.77613i | −0.162921 | − | 0.533988i | ||||
\(81\) | −8.47195 | + | 3.03744i | −0.941328 | + | 0.337493i | ||||
\(82\) | −3.71715 | + | 6.56784i | −0.410491 | + | 0.725297i | ||||
\(83\) | 0.588691 | + | 2.19703i | 0.0646173 | + | 0.241155i | 0.990679 | − | 0.136217i | \(-0.0434945\pi\) |
−0.926062 | + | 0.377372i | \(0.876828\pi\) | |||||||
\(84\) | 0.959599 | + | 0.153452i | 0.104701 | + | 0.0167430i | ||||
\(85\) | −1.20204 | + | 4.48608i | −0.130380 | + | 0.486584i | ||||
\(86\) | 7.07659 | − | 7.19913i | 0.763089 | − | 0.776302i | ||||
\(87\) | −2.90998 | + | 6.22091i | −0.311982 | + | 0.666952i | ||||
\(88\) | 8.63296 | − | 2.55316i | 0.920277 | − | 0.272168i | ||||
\(89\) | −1.87637 | −0.198895 | −0.0994475 | − | 0.995043i | \(-0.531708\pi\) | ||||
−0.0994475 | + | 0.995043i | \(0.531708\pi\) | |||||||
\(90\) | 4.78625 | − | 2.26796i | 0.504515 | − | 0.239064i | ||||
\(91\) | 0.567911 | − | 0.567911i | 0.0595332 | − | 0.0595332i | ||||
\(92\) | −0.0624738 | − | 3.63897i | −0.00651335 | − | 0.379389i | ||||
\(93\) | 3.08091 | − | 17.3506i | 0.319476 | − | 1.79917i | ||||
\(94\) | −15.5130 | + | 0.133153i | −1.60004 | + | 0.0137337i | ||||
\(95\) | −3.62679 | − | 6.28179i | −0.372101 | − | 0.644498i | ||||
\(96\) | −3.73212 | − | 9.05932i | −0.380908 | − | 0.924613i | ||||
\(97\) | 9.19070 | − | 15.9188i | 0.933175 | − | 1.61631i | 0.155317 | − | 0.987865i | \(-0.450360\pi\) |
0.777857 | − | 0.628441i | \(-0.216307\pi\) | |||||||
\(98\) | −4.82116 | + | 8.51852i | −0.487011 | + | 0.860501i | ||||
\(99\) | 4.01461 | + | 8.66374i | 0.403484 | + | 0.870739i | ||||
\(100\) | 5.90102 | − | 3.54338i | 0.590102 | − | 0.354338i | ||||
\(101\) | −4.18566 | − | 15.6211i | −0.416488 | − | 1.55436i | −0.781836 | − | 0.623485i | \(-0.785716\pi\) |
0.365347 | − | 0.930871i | \(-0.380950\pi\) | |||||||
\(102\) | −1.51616 | + | 8.98586i | −0.150122 | + | 0.889733i | ||||
\(103\) | 0.0611378 | + | 0.105894i | 0.00602409 | + | 0.0104340i | 0.869022 | − | 0.494774i | \(-0.164749\pi\) |
−0.862998 | + | 0.505208i | \(0.831416\pi\) | |||||||
\(104\) | −7.87308 | − | 1.89374i | −0.772019 | − | 0.185697i | ||||
\(105\) | −0.0521396 | − | 0.604333i | −0.00508830 | − | 0.0589769i | ||||
\(106\) | 16.6206 | + | 4.30092i | 1.61434 | + | 0.417743i | ||||
\(107\) | 5.97359 | + | 5.97359i | 0.577489 | + | 0.577489i | 0.934211 | − | 0.356722i | \(-0.116106\pi\) |
−0.356722 | + | 0.934211i | \(0.616106\pi\) | |||||||
\(108\) | 8.92874 | − | 5.31768i | 0.859168 | − | 0.511694i | ||||
\(109\) | −3.40913 | + | 3.40913i | −0.326536 | + | 0.326536i | −0.851268 | − | 0.524732i | \(-0.824166\pi\) |
0.524732 | + | 0.851268i | \(0.324166\pi\) | |||||||
\(110\) | −2.85131 | − | 4.84215i | −0.271862 | − | 0.461681i | ||||
\(111\) | 4.31868 | − | 0.372599i | 0.409911 | − | 0.0353655i | ||||
\(112\) | −1.12147 | + | 0.0385180i | −0.105969 | + | 0.00363961i | ||||
\(113\) | 1.91330 | − | 1.10464i | 0.179988 | − | 0.103916i | −0.407299 | − | 0.913295i | \(-0.633529\pi\) |
0.587287 | + | 0.809379i | \(0.300196\pi\) | |||||||
\(114\) | −8.24930 | − | 11.5981i | −0.772618 | − | 1.08626i | ||||
\(115\) | −2.19432 | + | 0.587966i | −0.204621 | + | 0.0548281i | ||||
\(116\) | 1.92073 | − | 7.69422i | 0.178335 | − | 0.714391i | ||||
\(117\) | 0.769157 | − | 8.55432i | 0.0711086 | − | 0.790847i | ||||
\(118\) | 7.59820 | − | 2.10599i | 0.699471 | − | 0.193872i | ||||
\(119\) | 0.903842 | + | 0.521833i | 0.0828551 | + | 0.0478364i | ||||
\(120\) | −4.92212 | + | 3.62975i | −0.449326 | + | 0.331349i | ||||
\(121\) | −0.752719 | + | 0.434583i | −0.0684290 | + | 0.0395075i | ||||
\(122\) | −6.39590 | + | 6.50664i | −0.579057 | + | 0.589084i | ||||
\(123\) | 9.10052 | + | 1.61596i | 0.820566 | + | 0.145706i | ||||
\(124\) | 0.349286 | + | 20.3452i | 0.0313668 | + | 1.82705i | ||||
\(125\) | −7.45164 | − | 7.45164i | −0.666495 | − | 0.666495i | ||||
\(126\) | −0.213911 | − | 1.17082i | −0.0190567 | − | 0.104305i | ||||
\(127\) | 3.63934i | 0.322939i | 0.986878 | + | 0.161470i | \(0.0516234\pi\) | ||||
−0.986878 | + | 0.161470i | \(0.948377\pi\) | |||||||
\(128\) | 6.23498 | + | 9.44061i | 0.551099 | + | 0.834440i | ||||
\(129\) | −11.1989 | − | 5.23856i | −0.986010 | − | 0.461229i | ||||
\(130\) | 0.0433824 | + | 5.05424i | 0.00380489 | + | 0.443286i | ||||
\(131\) | −14.9890 | − | 4.01630i | −1.30960 | − | 0.350906i | −0.464527 | − | 0.885559i | \(-0.653776\pi\) |
−0.845072 | + | 0.534653i | \(0.820442\pi\) | |||||||
\(132\) | −6.46755 | − | 8.92977i | −0.562928 | − | 0.777237i | ||||
\(133\) | −1.57447 | + | 0.421878i | −0.136524 | + | 0.0365815i | ||||
\(134\) | −5.29994 | + | 1.46899i | −0.457845 | + | 0.126901i | ||||
\(135\) | −4.57022 | − | 4.60334i | −0.393342 | − | 0.396192i | ||||
\(136\) | −0.270922 | − | 10.5191i | −0.0232314 | − | 0.902009i | ||||
\(137\) | 10.4065 | − | 18.0245i | 0.889085 | − | 1.53994i | 0.0481263 | − | 0.998841i | \(-0.484675\pi\) |
0.840959 | − | 0.541099i | \(-0.181992\pi\) | |||||||
\(138\) | −4.17728 | + | 1.55541i | −0.355594 | + | 0.132405i | ||||
\(139\) | 0.802043 | + | 0.214907i | 0.0680284 | + | 0.0182282i | 0.292673 | − | 0.956213i | \(-0.405455\pi\) |
−0.224644 | + | 0.974441i | \(0.572122\pi\) | |||||||
\(140\) | 0.192868 | + | 0.673339i | 0.0163003 | + | 0.0569075i | ||||
\(141\) | 6.47693 | + | 17.8621i | 0.545456 | + | 1.50426i | ||||
\(142\) | −13.0159 | + | 7.66446i | −1.09227 | + | 0.643187i | ||||
\(143\) | −9.11246 | −0.762022 | ||||||||
\(144\) | −8.94163 | + | 8.00295i | −0.745136 | + | 0.666913i | ||||
\(145\) | −4.95000 | −0.411076 | ||||||||
\(146\) | −11.3384 | + | 6.67662i | −0.938370 | + | 0.552561i | ||||
\(147\) | 11.8034 | + | 2.09591i | 0.973529 | + | 0.172868i | ||||
\(148\) | −4.81181 | + | 1.37827i | −0.395528 | + | 0.113293i | ||||
\(149\) | 5.13681 | + | 1.37640i | 0.420824 | + | 0.112759i | 0.463015 | − | 0.886350i | \(-0.346767\pi\) |
−0.0421919 | + | 0.999110i | \(0.513434\pi\) | |||||||
\(150\) | −6.49763 | − | 5.37095i | −0.530530 | − | 0.438536i | ||||
\(151\) | −1.53487 | + | 2.65847i | −0.124906 | + | 0.216343i | −0.921696 | − | 0.387913i | \(-0.873196\pi\) |
0.796790 | + | 0.604256i | \(0.206529\pi\) | |||||||
\(152\) | 11.9162 | + | 11.3178i | 0.966533 | + | 0.917996i | ||||
\(153\) | 10.9960 | − | 1.91162i | 0.888975 | − | 0.154545i | ||||
\(154\) | −1.21688 | + | 0.337283i | −0.0980590 | + | 0.0271790i | ||||
\(155\) | 12.2683 | − | 3.28727i | 0.985410 | − | 0.264040i | ||||
\(156\) | 1.02196 | + | 9.86473i | 0.0818225 | + | 0.789811i | ||||
\(157\) | −5.63885 | − | 1.51093i | −0.450029 | − | 0.120585i | 0.0266838 | − | 0.999644i | \(-0.491505\pi\) |
−0.476713 | + | 0.879059i | \(0.658172\pi\) | |||||||
\(158\) | 0.122079 | + | 14.2227i | 0.00971205 | + | 1.13150i | ||||
\(159\) | −1.80737 | − | 20.9487i | −0.143334 | − | 1.66134i | ||||
\(160\) | 4.77465 | − | 5.20312i | 0.377470 | − | 0.411343i | ||||
\(161\) | 0.510499i | 0.0402329i | ||||||||
\(162\) | −9.78092 | − | 8.14454i | −0.768462 | − | 0.639895i | ||||
\(163\) | −12.5565 | − | 12.5565i | −0.983500 | − | 0.983500i | 0.0163656 | − | 0.999866i | \(-0.494790\pi\) |
−0.999866 | + | 0.0163656i | \(0.994790\pi\) | |||||||
\(164\) | −10.6712 | + | 0.183203i | −0.833279 | + | 0.0143057i | ||||
\(165\) | −4.43013 | + | 5.26674i | −0.344885 | + | 0.410015i | ||||
\(166\) | −2.25492 | + | 2.29397i | −0.175016 | + | 0.178046i | ||||
\(167\) | 12.0834 | − | 6.97635i | 0.935041 | − | 0.539846i | 0.0466388 | − | 0.998912i | \(-0.485149\pi\) |
0.888402 | + | 0.459066i | \(0.151816\pi\) | |||||||
\(168\) | 0.501600 | + | 1.27951i | 0.0386993 | + | 0.0987166i | ||||
\(169\) | −4.16000 | − | 2.40178i | −0.320000 | − | 0.184752i | ||||
\(170\) | −6.32945 | + | 1.75433i | −0.485447 | + | 0.134551i | ||||
\(171\) | −10.0325 | + | 14.2548i | −0.767206 | + | 1.09009i | ||||
\(172\) | 13.8512 | + | 3.45771i | 1.05614 | + | 0.263648i | ||||
\(173\) | −2.38993 | + | 0.640380i | −0.181703 | + | 0.0486872i | −0.348523 | − | 0.937300i | \(-0.613317\pi\) |
0.166820 | + | 0.985987i | \(0.446650\pi\) | |||||||
\(174\) | −9.66917 | + | 0.917893i | −0.733018 | + | 0.0695853i | ||||
\(175\) | −0.836121 | + | 0.482735i | −0.0632048 | + | 0.0364913i | ||||
\(176\) | 9.30631 | + | 8.68827i | 0.701489 | + | 0.654903i | ||||
\(177\) | −5.52933 | − | 7.91696i | −0.415610 | − | 0.595075i | ||||
\(178\) | −1.34647 | − | 2.28661i | −0.100922 | − | 0.171388i | ||||
\(179\) | 9.53870 | − | 9.53870i | 0.712956 | − | 0.712956i | −0.254197 | − | 0.967153i | \(-0.581811\pi\) |
0.967153 | + | 0.254197i | \(0.0818111\pi\) | |||||||
\(180\) | 6.19838 | + | 4.20520i | 0.462000 | + | 0.313437i | ||||
\(181\) | −6.83874 | − | 6.83874i | −0.508320 | − | 0.508320i | 0.405691 | − | 0.914010i | \(-0.367031\pi\) |
−0.914010 | + | 0.405691i | \(0.867031\pi\) | |||||||
\(182\) | 1.09960 | + | 0.284545i | 0.0815079 | + | 0.0210919i | ||||
\(183\) | 10.1217 | + | 4.73466i | 0.748218 | + | 0.349996i | ||||
\(184\) | 4.38973 | − | 2.68743i | 0.323615 | − | 0.198120i | ||||
\(185\) | 1.56212 | + | 2.70567i | 0.114849 | + | 0.198925i | ||||
\(186\) | 23.3548 | − | 8.69618i | 1.71246 | − | 0.637635i | ||||
\(187\) | −3.06477 | − | 11.4379i | −0.224118 | − | 0.836421i | ||||
\(188\) | −11.2943 | − | 18.8090i | −0.823718 | − | 1.37179i | ||||
\(189\) | −1.26502 | + | 0.724281i | −0.0920164 | + | 0.0526837i | ||||
\(190\) | 5.05262 | − | 8.92748i | 0.366555 | − | 0.647668i | ||||
\(191\) | −7.08629 | + | 12.2738i | −0.512746 | + | 0.888102i | 0.487145 | + | 0.873321i | \(0.338038\pi\) |
−0.999891 | + | 0.0147810i | \(0.995295\pi\) | |||||||
\(192\) | 8.36182 | − | 11.0490i | 0.603462 | − | 0.797391i | ||||
\(193\) | −6.47017 | − | 11.2067i | −0.465733 | − | 0.806673i | 0.533501 | − | 0.845799i | \(-0.320876\pi\) |
−0.999234 | + | 0.0391263i | \(0.987543\pi\) | |||||||
\(194\) | 25.9943 | − | 0.223119i | 1.86628 | − | 0.0160190i | ||||
\(195\) | 5.81960 | − | 2.11023i | 0.416750 | − | 0.151117i | ||||
\(196\) | −13.8406 | + | 0.237615i | −0.988612 | + | 0.0169725i | ||||
\(197\) | −8.02294 | + | 8.02294i | −0.571611 | + | 0.571611i | −0.932578 | − | 0.360968i | \(-0.882447\pi\) |
0.360968 | + | 0.932578i | \(0.382447\pi\) | |||||||
\(198\) | −7.67704 | + | 11.1094i | −0.545584 | + | 0.789508i | ||||
\(199\) | 10.9199 | 0.774093 | 0.387046 | − | 0.922060i | \(-0.373495\pi\) | ||||
0.387046 | + | 0.922060i | \(0.373495\pi\) | |||||||
\(200\) | 8.55260 | + | 4.64845i | 0.604760 | + | 0.328695i | ||||
\(201\) | 3.85685 | + | 5.52229i | 0.272041 | + | 0.389512i | ||||
\(202\) | 16.0327 | − | 16.3103i | 1.12806 | − | 1.14759i | ||||
\(203\) | −0.287899 | + | 1.07445i | −0.0202066 | + | 0.0754119i | ||||
\(204\) | −12.0384 | + | 4.60055i | −0.842859 | + | 0.322103i | ||||
\(205\) | 1.72420 | + | 6.43478i | 0.120423 | + | 0.449425i | ||||
\(206\) | −0.0851733 | + | 0.150493i | −0.00593431 | + | 0.0104853i | ||||
\(207\) | 3.49907 | + | 4.19047i | 0.243202 | + | 0.291258i | ||||
\(208\) | −3.34189 | − | 10.9533i | −0.231718 | − | 0.759475i | ||||
\(209\) | 16.0163 | + | 9.24701i | 1.10787 | + | 0.639629i | ||||
\(210\) | 0.699044 | − | 0.497204i | 0.0482386 | − | 0.0343103i | ||||
\(211\) | −4.37047 | + | 16.3108i | −0.300875 | + | 1.12288i | 0.635563 | + | 0.772049i | \(0.280768\pi\) |
−0.936438 | + | 0.350833i | \(0.885899\pi\) | |||||||
\(212\) | 6.68559 | + | 23.3407i | 0.459168 | + | 1.60304i | ||||
\(213\) | 14.1573 | + | 11.9084i | 0.970039 | + | 0.815951i | ||||
\(214\) | −2.99300 | + | 11.5662i | −0.204597 | + | 0.790650i | ||||
\(215\) | − | 8.91103i | − | 0.607727i | ||||||
\(216\) | 12.8875 | + | 7.06490i | 0.876882 | + | 0.480706i | ||||
\(217\) | − | 2.85415i | − | 0.193753i | ||||||
\(218\) | −6.60085 | − | 1.70811i | −0.447066 | − | 0.115688i | ||||
\(219\) | 12.3326 | + | 10.3736i | 0.833359 | + | 0.700982i | ||||
\(220\) | 3.85472 | − | 6.94939i | 0.259885 | − | 0.468528i | ||||
\(221\) | −2.75669 | + | 10.2881i | −0.185435 | + | 0.692054i | ||||
\(222\) | 3.55311 | + | 4.99550i | 0.238469 | + | 0.335276i | ||||
\(223\) | −12.3586 | − | 7.13522i | −0.827591 | − | 0.477810i | 0.0254364 | − | 0.999676i | \(-0.491902\pi\) |
−0.853027 | + | 0.521867i | \(0.825236\pi\) | |||||||
\(224\) | −0.851696 | − | 1.33901i | −0.0569063 | − | 0.0894666i | ||||
\(225\) | −3.55460 | + | 9.69352i | −0.236973 | + | 0.646235i | ||||
\(226\) | 2.71912 | + | 1.53892i | 0.180873 | + | 0.102367i | ||||
\(227\) | −2.27906 | − | 8.50557i | −0.151267 | − | 0.564535i | −0.999396 | − | 0.0347459i | \(-0.988938\pi\) |
0.848130 | − | 0.529789i | \(-0.177729\pi\) | |||||||
\(228\) | 8.21417 | − | 18.3756i | 0.543996 | − | 1.21695i | ||||
\(229\) | −6.45185 | + | 24.0786i | −0.426350 | + | 1.59116i | 0.334606 | + | 0.942358i | \(0.391397\pi\) |
−0.760957 | + | 0.648803i | \(0.775270\pi\) | |||||||
\(230\) | −2.29114 | − | 2.25214i | −0.151073 | − | 0.148502i | ||||
\(231\) | 0.885543 | + | 1.26793i | 0.0582644 | + | 0.0834237i | ||||
\(232\) | 10.7547 | − | 3.18066i | 0.706082 | − | 0.208820i | ||||
\(233\) | −6.51295 | −0.426678 | −0.213339 | − | 0.976978i | \(-0.568434\pi\) | ||||
−0.213339 | + | 0.976978i | \(0.568434\pi\) | |||||||
\(234\) | 10.9765 | − | 5.20120i | 0.717556 | − | 0.340013i | ||||
\(235\) | −9.68332 | + | 9.68332i | −0.631670 | + | 0.631670i | ||||
\(236\) | 8.01884 | + | 7.74815i | 0.521982 | + | 0.504362i | ||||
\(237\) | 16.3764 | − | 5.93822i | 1.06376 | − | 0.385729i | ||||
\(238\) | 0.0126683 | + | 1.47591i | 0.000821165 | + | 0.0956693i | ||||
\(239\) | −2.36907 | − | 4.10336i | −0.153243 | − | 0.265424i | 0.779175 | − | 0.626806i | \(-0.215638\pi\) |
−0.932418 | + | 0.361382i | \(0.882305\pi\) | |||||||
\(240\) | −7.95540 | − | 3.39357i | −0.513519 | − | 0.219054i | ||||
\(241\) | 7.43805 | − | 12.8831i | 0.479127 | − | 0.829872i | −0.520586 | − | 0.853809i | \(-0.674287\pi\) |
0.999713 | + | 0.0239367i | \(0.00762000\pi\) | |||||||
\(242\) | −1.06974 | − | 0.605434i | −0.0687656 | − | 0.0389187i | ||||
\(243\) | −5.41961 | + | 14.6160i | −0.347668 | + | 0.937618i | ||||
\(244\) | −12.5188 | − | 3.12512i | −0.801437 | − | 0.200065i | ||||
\(245\) | 2.23629 | + | 8.34594i | 0.142871 | + | 0.533203i | ||||
\(246\) | 4.56120 | + | 12.2498i | 0.290812 | + | 0.781017i | ||||
\(247\) | −8.31748 | − | 14.4063i | −0.529228 | − | 0.916650i | ||||
\(248\) | −24.5426 | + | 15.0252i | −1.55846 | + | 0.954101i | ||||
\(249\) | 3.56848 | + | 1.66924i | 0.226143 | + | 0.105784i | ||||
\(250\) | 3.73355 | − | 14.4280i | 0.236131 | − | 0.912510i | ||||
\(251\) | 6.89508 | + | 6.89508i | 0.435213 | + | 0.435213i | 0.890397 | − | 0.455184i | \(-0.150427\pi\) |
−0.455184 | + | 0.890397i | \(0.650427\pi\) | |||||||
\(252\) | 1.27329 | − | 1.10085i | 0.0802098 | − | 0.0693469i | ||||
\(253\) | 4.09562 | − | 4.09562i | 0.257489 | − | 0.257489i | ||||
\(254\) | −4.43501 | + | 2.61156i | −0.278277 | + | 0.163864i | ||||
\(255\) | 4.60604 | + | 6.59499i | 0.288442 | + | 0.412994i | ||||
\(256\) | −7.03044 | + | 14.3726i | −0.439403 | + | 0.898290i | ||||
\(257\) | 2.17437 | − | 1.25537i | 0.135633 | − | 0.0783080i | −0.430648 | − | 0.902520i | \(-0.641715\pi\) |
0.566281 | + | 0.824212i | \(0.308382\pi\) | |||||||
\(258\) | −1.65240 | − | 17.4065i | −0.102874 | − | 1.08368i | ||||
\(259\) | 0.678152 | − | 0.181710i | 0.0421383 | − | 0.0112909i | ||||
\(260\) | −6.12812 | + | 3.67975i | −0.380050 | + | 0.228209i | ||||
\(261\) | 5.00130 | + | 10.7931i | 0.309572 | + | 0.668074i | ||||
\(262\) | −5.86164 | − | 21.1482i | −0.362133 | − | 1.30654i | ||||
\(263\) | −3.14718 | − | 1.81703i | −0.194064 | − | 0.112043i | 0.399820 | − | 0.916594i | \(-0.369073\pi\) |
−0.593884 | + | 0.804551i | \(0.702406\pi\) | |||||||
\(264\) | 6.24103 | − | 14.2895i | 0.384109 | − | 0.879457i | ||||
\(265\) | 13.1244 | − | 7.57740i | 0.806228 | − | 0.465476i | ||||
\(266\) | −1.64394 | − | 1.61596i | −0.100797 | − | 0.0990810i | ||||
\(267\) | −2.09204 | + | 2.48711i | −0.128031 | + | 0.152209i | ||||
\(268\) | −5.59335 | − | 5.40454i | −0.341668 | − | 0.330135i | ||||
\(269\) | −12.3633 | − | 12.3633i | −0.753802 | − | 0.753802i | 0.221384 | − | 0.975187i | \(-0.428942\pi\) |
−0.975187 | + | 0.221384i | \(0.928942\pi\) | |||||||
\(270\) | 2.33021 | − | 8.87273i | 0.141812 | − | 0.539977i | ||||
\(271\) | 27.2658i | 1.65628i | 0.560523 | + | 0.828139i | \(0.310600\pi\) | ||||
−0.560523 | + | 0.828139i | \(0.689400\pi\) | |||||||
\(272\) | 12.6245 | − | 7.87862i | 0.765475 | − | 0.477711i | ||||
\(273\) | −0.119574 | − | 1.38594i | −0.00723694 | − | 0.0838811i | ||||
\(274\) | 29.4329 | − | 0.252633i | 1.77810 | − | 0.0152621i | ||||
\(275\) | 10.5809 | + | 2.83514i | 0.638053 | + | 0.170966i | ||||
\(276\) | −4.89306 | − | 3.97441i | −0.294528 | − | 0.239231i | ||||
\(277\) | −16.7042 | + | 4.47587i | −1.00366 | + | 0.268929i | −0.722977 | − | 0.690872i | \(-0.757227\pi\) |
−0.280680 | + | 0.959801i | \(0.590560\pi\) | |||||||
\(278\) | 0.313648 | + | 1.13161i | 0.0188114 | + | 0.0678694i | ||||
\(279\) | −19.5630 | − | 23.4285i | −1.17121 | − | 1.40263i | ||||
\(280\) | −0.682151 | + | 0.718217i | −0.0407663 | + | 0.0429217i | ||||
\(281\) | −7.04702 | + | 12.2058i | −0.420390 | + | 0.728137i | −0.995978 | − | 0.0896034i | \(-0.971440\pi\) |
0.575588 | + | 0.817740i | \(0.304773\pi\) | |||||||
\(282\) | −17.1195 | + | 20.7107i | −1.01945 | + | 1.23330i | ||||
\(283\) | 0.628767 | + | 0.168478i | 0.0373763 | + | 0.0100149i | 0.277459 | − | 0.960738i | \(-0.410508\pi\) |
−0.240082 | + | 0.970753i | \(0.577174\pi\) | |||||||
\(284\) | −18.6803 | − | 10.3617i | −1.10847 | − | 0.614852i | ||||
\(285\) | −12.3701 | − | 2.19653i | −0.732740 | − | 0.130111i | ||||
\(286\) | −6.53903 | − | 11.1047i | −0.386661 | − | 0.656636i | ||||
\(287\) | 1.49702 | 0.0883665 | ||||||||
\(288\) | −16.1691 | − | 5.15369i | −0.952773 | − | 0.303684i | ||||
\(289\) | 3.15927 | 0.185839 | ||||||||
\(290\) | −3.55209 | − | 6.03223i | −0.208586 | − | 0.354225i | ||||
\(291\) | −10.8531 | − | 29.9306i | −0.636218 | − | 1.75456i | ||||
\(292\) | −16.2727 | − | 9.02619i | −0.952286 | − | 0.528218i | ||||
\(293\) | −8.09169 | − | 2.16816i | −0.472722 | − | 0.126665i | 0.0145900 | − | 0.999894i | \(-0.495356\pi\) |
−0.487312 | + | 0.873228i | \(0.662022\pi\) | |||||||
\(294\) | 5.91590 | + | 15.8880i | 0.345022 | + | 0.926607i | ||||
\(295\) | 3.48002 | − | 6.02757i | 0.202615 | − | 0.350939i | ||||
\(296\) | −5.13252 | − | 4.87478i | −0.298322 | − | 0.283341i | ||||
\(297\) | 15.9597 | + | 4.33821i | 0.926077 | + | 0.251728i | ||||
\(298\) | 2.00881 | + | 7.24757i | 0.116367 | + | 0.419840i | ||||
\(299\) | −5.03233 | + | 1.34841i | −0.291027 | + | 0.0779804i | ||||
\(300\) | 1.88255 | − | 11.7724i | 0.108689 | − | 0.679678i | ||||
\(301\) | −1.93424 | − | 0.518278i | −0.111488 | − | 0.0298730i | ||||
\(302\) | −4.34110 | + | 0.0372612i | −0.249802 | + | 0.00214414i | ||||
\(303\) | −25.3723 | − | 11.8685i | −1.45760 | − | 0.681827i | ||||
\(304\) | −5.24125 | + | 22.6431i | −0.300606 | + | 1.29867i | ||||
\(305\) | 8.05388i | 0.461164i | ||||||||
\(306\) | 10.2202 | + | 12.0283i | 0.584251 | + | 0.687613i | ||||
\(307\) | 10.1250 | + | 10.1250i | 0.577865 | + | 0.577865i | 0.934315 | − | 0.356449i | \(-0.116013\pi\) |
−0.356449 | + | 0.934315i | \(0.616013\pi\) | |||||||
\(308\) | −1.28425 | − | 1.24090i | −0.0731768 | − | 0.0707066i | ||||
\(309\) | 0.208526 | + | 0.0370275i | 0.0118626 | + | 0.00210642i | ||||
\(310\) | 12.8096 | + | 12.5916i | 0.727535 | + | 0.715152i | ||||
\(311\) | −13.7848 | + | 7.95868i | −0.781667 | + | 0.451295i | −0.837021 | − | 0.547171i | \(-0.815705\pi\) |
0.0553539 | + | 0.998467i | \(0.482371\pi\) | |||||||
\(312\) | −11.2881 | + | 8.32426i | −0.639064 | + | 0.471268i | ||||
\(313\) | −9.90266 | − | 5.71730i | −0.559732 | − | 0.323161i | 0.193306 | − | 0.981138i | \(-0.438079\pi\) |
−0.753038 | + | 0.657977i | \(0.771412\pi\) | |||||||
\(314\) | −2.20514 | − | 7.95591i | −0.124443 | − | 0.448978i | ||||
\(315\) | −0.859168 | − | 0.604683i | −0.0484086 | − | 0.0340700i | ||||
\(316\) | −17.2446 | + | 10.3549i | −0.970084 | + | 0.582507i | ||||
\(317\) | 26.3682 | − | 7.06533i | 1.48098 | − | 0.396828i | 0.574302 | − | 0.818644i | \(-0.305274\pi\) |
0.906682 | + | 0.421815i | \(0.138607\pi\) | |||||||
\(318\) | 24.2317 | − | 17.2351i | 1.35885 | − | 0.966498i | ||||
\(319\) | 10.9299 | − | 6.31036i | 0.611955 | − | 0.353313i | ||||
\(320\) | 9.76694 | + | 2.08482i | 0.545989 | + | 0.116545i | ||||
\(321\) | 14.5781 | − | 1.25774i | 0.813670 | − | 0.0702004i | ||||
\(322\) | −0.622109 | + | 0.366330i | −0.0346688 | + | 0.0204148i | ||||
\(323\) | 15.2853 | − | 15.2853i | 0.850495 | − | 0.850495i | ||||
\(324\) | 2.90646 | − | 17.7638i | 0.161470 | − | 0.986878i | ||||
\(325\) | −6.96714 | − | 6.96714i | −0.386467 | − | 0.386467i | ||||
\(326\) | 6.29128 | − | 24.3122i | 0.348442 | − | 1.34653i | ||||
\(327\) | 0.717795 | + | 8.31973i | 0.0396941 | + | 0.460082i | ||||
\(328\) | −7.88082 | − | 12.8728i | −0.435145 | − | 0.710779i | ||||
\(329\) | 1.53868 | + | 2.66507i | 0.0848301 | + | 0.146930i | ||||
\(330\) | −9.59724 | − | 1.61932i | −0.528311 | − | 0.0891406i | ||||
\(331\) | 2.97493 | + | 11.1026i | 0.163517 | + | 0.610254i | 0.998225 | + | 0.0595605i | \(0.0189699\pi\) |
−0.834708 | + | 0.550693i | \(0.814363\pi\) | |||||||
\(332\) | −4.41362 | − | 1.10178i | −0.242229 | − | 0.0604682i | ||||
\(333\) | 4.32118 | − | 6.13978i | 0.236799 | − | 0.336458i | ||||
\(334\) | 17.1726 | + | 9.71902i | 0.939640 | + | 0.531801i | ||||
\(335\) | −2.42740 | + | 4.20439i | −0.132623 | + | 0.229710i | ||||
\(336\) | −1.19931 | + | 1.52943i | −0.0654277 | + | 0.0834375i | ||||
\(337\) | 4.37194 | + | 7.57242i | 0.238155 | + | 0.412496i | 0.960185 | − | 0.279366i | \(-0.0901242\pi\) |
−0.722030 | + | 0.691862i | \(0.756791\pi\) | |||||||
\(338\) | −0.0583068 | − | 6.79300i | −0.00317147 | − | 0.369490i | ||||
\(339\) | 0.669016 | − | 3.76766i | 0.0363360 | − | 0.204631i | ||||
\(340\) | −6.67986 | − | 6.45437i | −0.362266 | − | 0.350037i | ||||
\(341\) | −22.8983 | + | 22.8983i | −1.24001 | + | 1.24001i | ||||
\(342\) | −24.5706 | − | 1.99681i | −1.32863 | − | 0.107975i | ||||
\(343\) | 3.90537 | 0.210870 | ||||||||
\(344\) | 5.72584 | + | 19.3607i | 0.308717 | + | 1.04386i | ||||
\(345\) | −1.66719 | + | 3.56409i | −0.0897583 | + | 0.191884i | ||||
\(346\) | −2.49538 | − | 2.45291i | −0.134153 | − | 0.131869i | ||||
\(347\) | 0.832493 | − | 3.10690i | 0.0446905 | − | 0.166787i | −0.939974 | − | 0.341246i | \(-0.889151\pi\) |
0.984664 | + | 0.174459i | \(0.0558176\pi\) | |||||||
\(348\) | −8.05710 | − | 11.1245i | −0.431906 | − | 0.596334i | ||||
\(349\) | 8.57705 | + | 32.0100i | 0.459119 | + | 1.71346i | 0.675687 | + | 0.737188i | \(0.263847\pi\) |
−0.216568 | + | 0.976268i | \(0.569486\pi\) | |||||||
\(350\) | −1.18827 | − | 0.672516i | −0.0635157 | − | 0.0359475i | ||||
\(351\) | −10.4811 | − | 10.5570i | −0.559439 | − | 0.563493i | ||||
\(352\) | −3.90965 | + | 17.5756i | −0.208385 | + | 0.936782i | ||||
\(353\) | −7.18886 | − | 4.15049i | −0.382624 | − | 0.220908i | 0.296335 | − | 0.955084i | \(-0.404235\pi\) |
−0.678959 | + | 0.734176i | \(0.737569\pi\) | |||||||
\(354\) | 5.68004 | − | 12.4194i | 0.301891 | − | 0.660082i | ||||
\(355\) | −3.45099 | + | 12.8793i | −0.183160 | + | 0.683561i | ||||
\(356\) | 1.82031 | − | 3.28170i | 0.0964762 | − | 0.173930i | ||||
\(357\) | 1.69941 | − | 0.616220i | 0.0899423 | − | 0.0326138i | ||||
\(358\) | 18.4691 | + | 4.77925i | 0.976120 | + | 0.252591i | ||||
\(359\) | − | 17.1616i | − | 0.905754i | −0.891573 | − | 0.452877i | \(-0.850398\pi\) | ||
0.891573 | − | 0.452877i | \(-0.149602\pi\) | |||||||
\(360\) | −0.676670 | + | 10.5711i | −0.0356636 | + | 0.557148i | ||||
\(361\) | 14.7612i | 0.776903i | ||||||||
\(362\) | 3.42647 | − | 13.2413i | 0.180091 | − | 0.695949i | ||||
\(363\) | −0.263201 | + | 1.48225i | −0.0138145 | + | 0.0777981i | ||||
\(364\) | 0.442312 | + | 1.54420i | 0.0231834 | + | 0.0809379i | ||||
\(365\) | −3.00621 | + | 11.2193i | −0.157352 | + | 0.587246i | ||||
\(366\) | 1.49345 | + | 15.7322i | 0.0780640 | + | 0.822334i | ||||
\(367\) | −1.27977 | − | 0.738875i | −0.0668034 | − | 0.0385690i | 0.466226 | − | 0.884666i | \(-0.345613\pi\) |
−0.533030 | + | 0.846097i | \(0.678947\pi\) | |||||||
\(368\) | 6.42502 | + | 3.42097i | 0.334927 | + | 0.178331i | ||||
\(369\) | 12.2884 | − | 10.2609i | 0.639710 | − | 0.534162i | ||||
\(370\) | −2.17625 | + | 3.84522i | −0.113138 | + | 0.199903i | ||||
\(371\) | −0.881424 | − | 3.28952i | −0.0457612 | − | 0.170783i | ||||
\(372\) | 27.3567 | + | 22.2206i | 1.41838 | + | 1.15208i | ||||
\(373\) | 8.48049 | − | 31.6496i | 0.439103 | − | 1.63876i | −0.291948 | − | 0.956434i | \(-0.594304\pi\) |
0.731052 | − | 0.682322i | \(-0.239030\pi\) | |||||||
\(374\) | 11.7393 | − | 11.9426i | 0.607025 | − | 0.617536i | ||||
\(375\) | −18.1852 | + | 1.56895i | −0.939078 | + | 0.0810200i | ||||
\(376\) | 14.8166 | − | 27.2607i | 0.764106 | − | 1.40587i | ||||
\(377\) | −11.3521 | −0.584661 | ||||||||
\(378\) | −1.79040 | − | 1.02185i | −0.0920881 | − | 0.0525583i | ||||
\(379\) | 19.2548 | − | 19.2548i | 0.989053 | − | 0.989053i | −0.0108880 | − | 0.999941i | \(-0.503466\pi\) |
0.999941 | + | 0.0108880i | \(0.00346583\pi\) | |||||||
\(380\) | 14.5050 | − | 0.249022i | 0.744092 | − | 0.0127746i | ||||
\(381\) | 4.82390 | + | 4.05763i | 0.247136 | + | 0.207879i | ||||
\(382\) | −20.0423 | + | 0.172031i | −1.02545 | + | 0.00880186i | ||||
\(383\) | −3.99635 | − | 6.92189i | −0.204204 | − | 0.353692i | 0.745675 | − | 0.666310i | \(-0.232127\pi\) |
−0.949879 | + | 0.312618i | \(0.898794\pi\) | |||||||
\(384\) | 19.4650 | + | 2.26130i | 0.993320 | + | 0.115397i | ||||
\(385\) | −0.557338 | + | 0.965338i | −0.0284046 | + | 0.0491982i | ||||
\(386\) | 9.01383 | − | 15.9266i | 0.458792 | − | 0.810641i | ||||
\(387\) | −19.4297 | + | 9.00336i | −0.987669 | + | 0.457667i | ||||
\(388\) | 18.9252 | + | 31.5173i | 0.960782 | + | 1.60005i | ||||
\(389\) | −2.21212 | − | 8.25574i | −0.112159 | − | 0.418583i | 0.886900 | − | 0.461962i | \(-0.152854\pi\) |
−0.999059 | + | 0.0433793i | \(0.986188\pi\) | |||||||
\(390\) | 6.74770 | + | 5.57765i | 0.341683 | + | 0.282435i | ||||
\(391\) | −3.38502 | − | 5.86303i | −0.171188 | − | 0.296506i | ||||
\(392\) | −10.2215 | − | 16.6960i | −0.516261 | − | 0.843277i | ||||
\(393\) | −22.0354 | + | 15.3899i | −1.11154 | + | 0.776316i | ||||
\(394\) | −15.5342 | − | 4.01980i | −0.782602 | − | 0.202514i | ||||
\(395\) | 8.87792 | + | 8.87792i | 0.446697 | + | 0.446697i | ||||
\(396\) | −19.0472 | − | 1.38348i | −0.957158 | − | 0.0695225i | ||||
\(397\) | 21.9949 | − | 21.9949i | 1.10389 | − | 1.10389i | 0.109957 | − | 0.993936i | \(-0.464929\pi\) |
0.993936 | − | 0.109957i | \(-0.0350713\pi\) | |||||||
\(398\) | 7.83606 | + | 13.3073i | 0.392786 | + | 0.667037i | ||||
\(399\) | −1.19624 | + | 2.55731i | −0.0598870 | + | 0.128026i | ||||
\(400\) | 0.472540 | + | 13.7582i | 0.0236270 | + | 0.687908i | ||||
\(401\) | −15.4215 | + | 8.90359i | −0.770111 | + | 0.444624i | −0.832914 | − | 0.553402i | \(-0.813329\pi\) |
0.0628030 | + | 0.998026i | \(0.479996\pi\) | |||||||
\(402\) | −3.96198 | + | 8.66283i | −0.197606 | + | 0.432063i | ||||
\(403\) | 28.1353 | − | 7.53883i | 1.40152 | − | 0.375536i | ||||
\(404\) | 31.3813 | + | 7.83379i | 1.56128 | + | 0.389746i | ||||
\(405\) | −11.1972 | + | 0.925337i | −0.556392 | + | 0.0459803i | ||||
\(406\) | −1.51596 | + | 0.420178i | −0.0752357 | + | 0.0208531i | ||||
\(407\) | −6.89849 | − | 3.98284i | −0.341945 | − | 0.197422i | ||||
\(408\) | −14.2451 | − | 11.3691i | −0.705235 | − | 0.562853i | ||||
\(409\) | 21.0100 | − | 12.1301i | 1.03888 | − | 0.599797i | 0.119363 | − | 0.992851i | \(-0.461915\pi\) |
0.919515 | + | 0.393054i | \(0.128581\pi\) | |||||||
\(410\) | −6.60436 | + | 6.71871i | −0.326166 | + | 0.331814i | ||||
\(411\) | −12.2887 | − | 33.8899i | −0.606159 | − | 1.67166i | ||||
\(412\) | −0.244515 | + | 0.00419784i | −0.0120464 | + | 0.000206813i | ||||
\(413\) | −1.10595 | − | 1.10595i | −0.0544202 | − | 0.0544202i | ||||
\(414\) | −2.59573 | + | 7.27112i | −0.127573 | + | 0.357356i | ||||
\(415\) | 2.83946i | 0.139383i | ||||||||
\(416\) | 10.9499 | − | 11.9325i | 0.536864 | − | 0.585041i | ||||
\(417\) | 1.17908 | − | 0.823490i | 0.0577399 | − | 0.0403265i | ||||
\(418\) | 0.224485 | + | 26.1535i | 0.0109799 | + | 1.27921i | ||||
\(419\) | 11.0392 | + | 2.95796i | 0.539302 | + | 0.144506i | 0.518180 | − | 0.855271i | \(-0.326610\pi\) |
0.0211217 | + | 0.999777i | \(0.493276\pi\) | |||||||
\(420\) | 1.10754 | + | 0.495086i | 0.0540423 | + | 0.0241577i | ||||
\(421\) | 16.7104 | − | 4.47753i | 0.814413 | − | 0.218221i | 0.172511 | − | 0.985008i | \(-0.444812\pi\) |
0.641903 | + | 0.766786i | \(0.278145\pi\) | |||||||
\(422\) | −23.0131 | + | 6.37853i | −1.12026 | + | 0.310502i | ||||
\(423\) | 30.8973 | + | 11.3300i | 1.50228 | + | 0.550883i | ||||
\(424\) | −23.6461 | + | 24.8964i | −1.14836 | + | 1.20907i | ||||
\(425\) | 6.40186 | − | 11.0883i | 0.310536 | − | 0.537864i | ||||
\(426\) | −4.35281 | + | 25.7979i | −0.210894 | + | 1.24991i | ||||
\(427\) | 1.74819 | + | 0.468425i | 0.0846006 | + | 0.0226687i | ||||
\(428\) | −16.2427 | + | 4.65247i | −0.785120 | + | 0.224886i | ||||
\(429\) | −10.1598 | + | 12.0784i | −0.490520 | + | 0.583153i | ||||
\(430\) | 10.8593 | − | 6.39449i | 0.523680 | − | 0.308370i | ||||
\(431\) | 33.7821 | 1.62723 | 0.813613 | − | 0.581407i | \(-0.197498\pi\) | ||||
0.813613 | + | 0.581407i | \(0.197498\pi\) | |||||||
\(432\) | 0.638453 | + | 20.7748i | 0.0307176 | + | 0.999528i | ||||
\(433\) | −32.7436 | −1.57356 | −0.786779 | − | 0.617235i | \(-0.788253\pi\) | ||||
−0.786779 | + | 0.617235i | \(0.788253\pi\) | |||||||
\(434\) | 3.47816 | − | 2.04812i | 0.166957 | − | 0.0983129i | ||||
\(435\) | −5.51894 | + | 6.56117i | −0.264613 | + | 0.314584i | ||||
\(436\) | −2.65517 | − | 9.26972i | −0.127160 | − | 0.443939i | ||||
\(437\) | 10.2133 | + | 2.73664i | 0.488567 | + | 0.130911i | ||||
\(438\) | −3.79179 | + | 22.4729i | −0.181179 | + | 1.07380i | ||||
\(439\) | −14.7258 | + | 25.5058i | −0.702824 | + | 1.21733i | 0.264647 | + | 0.964345i | \(0.414745\pi\) |
−0.967471 | + | 0.252982i | \(0.918589\pi\) | |||||||
\(440\) | 11.2349 | − | 0.289356i | 0.535601 | − | 0.0137945i | ||||
\(441\) | 15.9382 | − | 13.3085i | 0.758960 | − | 0.633736i | ||||
\(442\) | −14.5156 | + | 4.02329i | −0.690437 | + | 0.191368i | ||||
\(443\) | −8.80422 | + | 2.35908i | −0.418301 | + | 0.112083i | −0.461830 | − | 0.886969i | \(-0.652807\pi\) |
0.0435282 | + | 0.999052i | \(0.486140\pi\) | |||||||
\(444\) | −3.53798 | + | 7.91467i | −0.167905 | + | 0.375614i | ||||
\(445\) | −2.26259 | − | 0.606260i | −0.107257 | − | 0.0287395i | ||||
\(446\) | −0.173218 | − | 20.1807i | −0.00820213 | − | 0.955584i | ||||
\(447\) | 7.55162 | − | 5.27417i | 0.357179 | − | 0.249460i | ||||
\(448\) | 1.02059 | − | 1.99877i | 0.0482184 | − | 0.0944329i | ||||
\(449\) | − | 2.79179i | − | 0.131753i | −0.997828 | − | 0.0658765i | \(-0.979016\pi\) | ||
0.997828 | − | 0.0658765i | \(-0.0209843\pi\) | |||||||
\(450\) | −14.3636 | + | 2.62426i | −0.677105 | + | 0.123709i | ||||
\(451\) | −12.0103 | − | 12.0103i | −0.565543 | − | 0.565543i | ||||
\(452\) | 0.0758469 | + | 4.41792i | 0.00356754 | + | 0.207802i | ||||
\(453\) | 1.81248 | + | 4.99847i | 0.0851579 | + | 0.234848i | ||||
\(454\) | 8.72971 | − | 8.88087i | 0.409706 | − | 0.416800i | ||||
\(455\) | 0.868300 | − | 0.501313i | 0.0407065 | − | 0.0235019i | ||||
\(456\) | 28.2875 | − | 3.17614i | 1.32468 | − | 0.148736i | ||||
\(457\) | 1.90950 | + | 1.10245i | 0.0893226 | + | 0.0515704i | 0.543996 | − | 0.839088i | \(-0.316911\pi\) |
−0.454673 | + | 0.890658i | \(0.650244\pi\) | |||||||
\(458\) | −33.9728 | + | 9.41623i | −1.58744 | + | 0.439992i | ||||
\(459\) | 9.72604 | − | 16.7064i | 0.453972 | − | 0.779788i | ||||
\(460\) | 1.10043 | − | 4.40818i | 0.0513076 | − | 0.205532i | ||||
\(461\) | −19.1849 | + | 5.14058i | −0.893531 | + | 0.239421i | −0.676236 | − | 0.736685i | \(-0.736390\pi\) |
−0.217295 | + | 0.976106i | \(0.569723\pi\) | |||||||
\(462\) | −0.909680 | + | 1.98901i | −0.0423222 | + | 0.0925370i | ||||
\(463\) | −1.39347 | + | 0.804523i | −0.0647602 | + | 0.0373893i | −0.532031 | − | 0.846725i | \(-0.678571\pi\) |
0.467270 | + | 0.884115i | \(0.345238\pi\) | |||||||
\(464\) | 11.5936 | + | 10.8236i | 0.538217 | + | 0.502474i | ||||
\(465\) | 9.32109 | − | 19.9265i | 0.432255 | − | 0.924070i | ||||
\(466\) | −4.67365 | − | 7.93688i | −0.216503 | − | 0.367669i | ||||
\(467\) | −9.94383 | + | 9.94383i | −0.460145 | + | 0.460145i | −0.898703 | − | 0.438558i | \(-0.855489\pi\) |
0.438558 | + | 0.898703i | \(0.355489\pi\) | |||||||
\(468\) | 14.2150 | + | 9.64395i | 0.657089 | + | 0.445792i | ||||
\(469\) | 0.771428 | + | 0.771428i | 0.0356213 | + | 0.0356213i | ||||
\(470\) | −18.7491 | − | 4.85171i | −0.864831 | − | 0.223793i | ||||
\(471\) | −8.28968 | + | 5.78964i | −0.381968 | + | 0.266772i | ||||
\(472\) | −3.68787 | + | 15.3320i | −0.169748 | + | 0.705713i | ||||
\(473\) | 11.3600 | + | 19.6760i | 0.522331 | + | 0.904704i | ||||
\(474\) | 18.9881 | + | 15.6956i | 0.872152 | + | 0.720922i | ||||
\(475\) | 5.17561 | + | 19.3156i | 0.237473 | + | 0.886262i | ||||
\(476\) | −1.78950 | + | 1.07454i | −0.0820217 | + | 0.0492516i | ||||
\(477\) | −29.7823 | − | 20.9608i | −1.36364 | − | 0.959729i | ||||
\(478\) | 3.30045 | − | 5.83157i | 0.150959 | − | 0.266730i | ||||
\(479\) | 14.3867 | − | 24.9185i | 0.657346 | − | 1.13856i | −0.323955 | − | 0.946073i | \(-0.605013\pi\) |
0.981300 | − | 0.192483i | \(-0.0616542\pi\) | |||||||
\(480\) | −1.57323 | − | 12.1299i | −0.0718080 | − | 0.553651i | ||||
\(481\) | 3.58248 | + | 6.20504i | 0.163347 | + | 0.282925i | ||||
\(482\) | 21.0372 | − | 0.180570i | 0.958219 | − | 0.00822475i | ||||
\(483\) | 0.676659 | + | 0.569174i | 0.0307891 | + | 0.0258983i | ||||
\(484\) | −0.0298393 | − | 1.73808i | −0.00135633 | − | 0.0790034i | ||||
\(485\) | 16.2259 | − | 16.2259i | 0.736778 | − | 0.736778i | ||||
\(486\) | −21.7006 | + | 3.88384i | −0.984359 | + | 0.176175i | ||||
\(487\) | 43.0194 | 1.94939 | 0.974697 | − | 0.223530i | \(-0.0717581\pi\) | ||||
0.974697 | + | 0.223530i | \(0.0717581\pi\) | |||||||
\(488\) | −5.17507 | − | 17.4984i | −0.234265 | − | 0.792116i | ||||
\(489\) | −30.6432 | + | 2.64377i | −1.38573 | + | 0.119556i | ||||
\(490\) | −8.56588 | + | 8.71420i | −0.386967 | + | 0.393667i | ||||
\(491\) | 1.40962 | − | 5.26076i | 0.0636152 | − | 0.237415i | −0.926796 | − | 0.375565i | \(-0.877449\pi\) |
0.990411 | + | 0.138150i | \(0.0441155\pi\) | |||||||
\(492\) | −11.6549 | + | 14.3488i | −0.525441 | + | 0.646892i | ||||
\(493\) | −3.81801 | − | 14.2490i | −0.171955 | − | 0.641744i | ||||
\(494\) | 11.5874 | − | 20.4738i | 0.521341 | − | 0.921159i | ||||
\(495\) | 2.04168 | + | 11.7442i | 0.0917667 | + | 0.527861i | ||||
\(496\) | −35.9217 | − | 19.1264i | −1.61293 | − | 0.858800i | ||||
\(497\) | 2.59488 | + | 1.49815i | 0.116396 | + | 0.0672013i | ||||
\(498\) | 0.526528 | + | 5.54650i | 0.0235943 | + | 0.248545i | ||||
\(499\) | −4.61454 | + | 17.2217i | −0.206575 | + | 0.770950i | 0.782388 | + | 0.622791i | \(0.214001\pi\) |
−0.988964 | + | 0.148159i | \(0.952665\pi\) | |||||||
\(500\) | 20.2616 | − | 5.80364i | 0.906128 | − | 0.259547i | ||||
\(501\) | 4.22516 | − | 23.7946i | 0.188766 | − | 1.06306i | ||||
\(502\) | −3.45469 | + | 13.3504i | −0.154191 | + | 0.595858i | ||||
\(503\) | 0.254767i | 0.0113595i | 0.999984 | + | 0.00567974i | \(0.00180793\pi\) | ||||
−0.999984 | + | 0.00567974i | \(0.998192\pi\) | |||||||
\(504\) | 2.25523 | + | 0.761711i | 0.100456 | + | 0.0339293i | ||||
\(505\) | − | 20.1888i | − | 0.898391i | ||||||
\(506\) | 7.93004 | + | 2.05206i | 0.352533 | + | 0.0912252i | ||||
\(507\) | −7.82166 | + | 2.83620i | −0.347372 | + | 0.125960i | ||||
\(508\) | −6.36506 | − | 3.53060i | −0.282404 | − | 0.156645i | ||||
\(509\) | 2.84712 | − | 10.6256i | 0.126196 | − | 0.470971i | −0.873683 | − | 0.486495i | \(-0.838275\pi\) |
0.999879 | + | 0.0155245i | \(0.00494181\pi\) | |||||||
\(510\) | −4.73159 | + | 10.3456i | −0.209518 | + | 0.458110i | ||||
\(511\) | 2.26043 | + | 1.30506i | 0.0999956 | + | 0.0577325i | ||||
\(512\) | −22.5599 | + | 1.74619i | −0.997018 | + | 0.0771716i | ||||
\(513\) | 7.70890 | + | 29.1912i | 0.340356 | + | 1.28882i | ||||
\(514\) | 3.09015 | + | 1.74891i | 0.136301 | + | 0.0771410i | ||||
\(515\) | 0.0395075 | + | 0.147444i | 0.00174091 | + | 0.00649716i | ||||
\(516\) | 20.0263 | − | 14.5044i | 0.881611 | − | 0.638522i | ||||
\(517\) | 9.03680 | − | 33.7258i | 0.397438 | − | 1.48326i | ||||
\(518\) | 0.708074 | + | 0.696023i | 0.0311110 | + | 0.0305815i | ||||
\(519\) | −1.81581 | + | 3.88180i | −0.0797050 | + | 0.170392i | ||||
\(520\) | −8.88175 | − | 4.82735i | −0.389491 | − | 0.211693i | ||||
\(521\) | −8.17552 | −0.358176 | −0.179088 | − | 0.983833i | \(-0.557315\pi\) | ||||
−0.179088 | + | 0.983833i | \(0.557315\pi\) | |||||||
\(522\) | −9.56386 | + | 13.8398i | −0.418599 | + | 0.605750i | ||||
\(523\) | −11.4305 | + | 11.4305i | −0.499820 | + | 0.499820i | −0.911382 | − | 0.411562i | \(-0.864983\pi\) |
0.411562 | + | 0.911382i | \(0.364983\pi\) | |||||||
\(524\) | 21.5655 | − | 22.3189i | 0.942095 | − | 0.975008i | ||||
\(525\) | −0.292364 | + | 1.64649i | −0.0127598 | + | 0.0718586i | ||||
\(526\) | −0.0441112 | − | 5.13914i | −0.00192334 | − | 0.224077i | ||||
\(527\) | 18.9254 | + | 32.7797i | 0.824403 | + | 1.42791i | ||||
\(528\) | 21.8921 | − | 2.64853i | 0.952733 | − | 0.115262i | ||||
\(529\) | −9.84425 | + | 17.0507i | −0.428011 | + | 0.741337i | ||||
\(530\) | 18.6521 | + | 10.5564i | 0.810193 | + | 0.458539i | ||||
\(531\) | −16.6587 | − | 1.49786i | −0.722925 | − | 0.0650014i | ||||
\(532\) | 0.789579 | − | 3.16296i | 0.0342326 | − | 0.137132i | ||||
\(533\) | 3.95417 | + | 14.7572i | 0.171274 | + | 0.639204i | ||||
\(534\) | −4.53210 | − | 0.764689i | −0.196123 | − | 0.0330913i | ||||
\(535\) | 5.27308 | + | 9.13325i | 0.227975 | + | 0.394865i | ||||
\(536\) | 2.57239 | − | 10.6945i | 0.111110 | − | 0.461931i | ||||
\(537\) | −2.00838 | − | 23.2785i | −0.0866679 | − | 1.00454i | ||||
\(538\) | 6.19447 | − | 23.9381i | 0.267063 | − | 1.03204i | ||||
\(539\) | −15.5774 | − | 15.5774i | −0.670967 | − | 0.670967i | ||||
\(540\) | 12.4847 | − | 3.52734i | 0.537257 | − | 0.151793i | ||||
\(541\) | 9.93863 | − | 9.93863i | 0.427295 | − | 0.427295i | −0.460411 | − | 0.887706i | \(-0.652298\pi\) |
0.887706 | + | 0.460411i | \(0.152298\pi\) | |||||||
\(542\) | −33.2269 | + | 19.5657i | −1.42722 | + | 0.840420i | ||||
\(543\) | −16.6894 | + | 1.43990i | −0.716212 | + | 0.0617920i | ||||
\(544\) | 18.6604 | + | 9.73101i | 0.800058 | + | 0.417214i | ||||
\(545\) | −5.21235 | + | 3.00935i | −0.223273 | + | 0.128906i | ||||
\(546\) | 1.60315 | − | 1.14026i | 0.0686084 | − | 0.0487986i | ||||
\(547\) | 2.81747 | − | 0.754938i | 0.120466 | − | 0.0322788i | −0.198082 | − | 0.980185i | \(-0.563471\pi\) |
0.318548 | + | 0.947907i | \(0.396805\pi\) | |||||||
\(548\) | 21.4287 | + | 35.6865i | 0.915388 | + | 1.52445i | ||||
\(549\) | 17.5608 | − | 8.13733i | 0.749476 | − | 0.347293i | ||||
\(550\) | 4.13779 | + | 14.9287i | 0.176436 | + | 0.636562i | ||||
\(551\) | 19.9527 | + | 11.5197i | 0.850012 | + | 0.490755i | ||||
\(552\) | 1.33211 | − | 8.81484i | 0.0566985 | − | 0.375184i | ||||
\(553\) | 2.44341 | − | 1.41070i | 0.103904 | − | 0.0599891i | ||||
\(554\) | −17.4412 | − | 17.1444i | −0.741007 | − | 0.728395i | ||||
\(555\) | 5.32800 | + | 0.946083i | 0.226161 | + | 0.0401590i | ||||
\(556\) | −1.15394 | + | 1.19426i | −0.0489380 | + | 0.0506477i | ||||
\(557\) | 11.5964 | + | 11.5964i | 0.491356 | + | 0.491356i | 0.908733 | − | 0.417377i | \(-0.137051\pi\) |
−0.417377 | + | 0.908733i | \(0.637051\pi\) | |||||||
\(558\) | 14.5125 | − | 40.6522i | 0.614362 | − | 1.72095i | ||||
\(559\) | − | 20.4360i | − | 0.864352i | ||||||
\(560\) | −1.36475 | − | 0.315902i | −0.0576711 | − | 0.0133493i | ||||
\(561\) | −18.5778 | − | 8.69021i | −0.784356 | − | 0.366901i | ||||
\(562\) | −19.9312 | + | 0.171077i | −0.840749 | + | 0.00721646i | ||||
\(563\) | −7.42718 | − | 1.99011i | −0.313018 | − | 0.0838730i | 0.0988898 | − | 0.995098i | \(-0.468471\pi\) |
−0.411908 | + | 0.911225i | \(0.635138\pi\) | |||||||
\(564\) | −37.5235 | − | 6.00048i | −1.58002 | − | 0.252666i | ||||
\(565\) | 2.66403 | − | 0.713826i | 0.112077 | − | 0.0300309i | ||||
\(566\) | 0.245887 | + | 0.887133i | 0.0103354 | + | 0.0372890i | ||||
\(567\) | −0.450388 | + | 2.48429i | −0.0189145 | + | 0.104330i | ||||
\(568\) | −0.777802 | − | 30.1998i | −0.0326359 | − | 1.26716i | ||||
\(569\) | −11.7897 | + | 20.4204i | −0.494250 | + | 0.856066i | −0.999978 | − | 0.00662697i | \(-0.997891\pi\) |
0.505728 | + | 0.862693i | \(0.331224\pi\) | |||||||
\(570\) | −6.19992 | − | 16.6508i | −0.259686 | − | 0.697424i | ||||
\(571\) | −7.46185 | − | 1.99940i | −0.312269 | − | 0.0836722i | 0.0992811 | − | 0.995059i | \(-0.468346\pi\) |
−0.411550 | + | 0.911387i | \(0.635012\pi\) | |||||||
\(572\) | 8.84019 | − | 15.9373i | 0.369627 | − | 0.666373i | ||||
\(573\) | 8.36802 | + | 23.0773i | 0.349579 | + | 0.964069i | ||||
\(574\) | 1.07425 | + | 1.82432i | 0.0448385 | + | 0.0761456i | ||||
\(575\) | 6.26280 | 0.261177 | ||||||||
\(576\) | −5.32238 | − | 23.4024i | −0.221766 | − | 0.975100i | ||||
\(577\) | 16.4238 | 0.683733 | 0.341866 | − | 0.939749i | \(-0.388941\pi\) | ||||
0.341866 | + | 0.939749i | \(0.388941\pi\) | |||||||
\(578\) | 2.26707 | + | 3.84998i | 0.0942976 | + | 0.160138i | ||||
\(579\) | −22.0681 | − | 3.91859i | −0.917119 | − | 0.162851i | ||||
\(580\) | 4.80210 | − | 8.65737i | 0.199397 | − | 0.359478i | ||||
\(581\) | 0.616336 | + | 0.165147i | 0.0255699 | + | 0.00685144i | ||||
\(582\) | 28.6862 | − | 34.7038i | 1.18908 | − | 1.43852i | ||||
\(583\) | −19.3196 | + | 33.4626i | −0.800137 | + | 1.38588i | ||||
\(584\) | −0.677554 | − | 26.3075i | −0.0280374 | − | 1.08861i | ||||
\(585\) | 3.69140 | − | 10.0666i | 0.152621 | − | 0.416202i | ||||
\(586\) | −3.16435 | − | 11.4166i | −0.130718 | − | 0.471617i | ||||
\(587\) | −44.0249 | + | 11.7964i | −1.81710 | + | 0.486891i | −0.996424 | − | 0.0844969i | \(-0.973072\pi\) |
−0.820680 | + | 0.571388i | \(0.806405\pi\) | |||||||
\(588\) | −15.1164 | + | 18.6104i | −0.623390 | + | 0.767481i | ||||
\(589\) | −57.1015 | − | 15.3003i | −2.35283 | − | 0.630438i | ||||
\(590\) | 9.84262 | − | 0.0844828i | 0.405214 | − | 0.00347810i | ||||
\(591\) | 1.68923 | + | 19.5794i | 0.0694858 | + | 0.805388i | ||||
\(592\) | 2.25750 | − | 9.75275i | 0.0927825 | − | 0.400836i | ||||
\(593\) | − | 9.66931i | − | 0.397071i | −0.980094 | − | 0.198535i | \(-0.936382\pi\) | ||
0.980094 | − | 0.198535i | \(-0.0636185\pi\) | |||||||
\(594\) | 6.16590 | + | 22.5621i | 0.252990 | + | 0.925733i | ||||
\(595\) | 0.921278 | + | 0.921278i | 0.0377687 | + | 0.0377687i | ||||
\(596\) | −7.39060 | + | 7.64880i | −0.302731 | + | 0.313307i | ||||
\(597\) | 12.1750 | − | 14.4742i | 0.498290 | − | 0.592390i | ||||
\(598\) | −5.25437 | − | 5.16494i | −0.214867 | − | 0.211210i | ||||
\(599\) | −8.99479 | + | 5.19314i | −0.367517 | + | 0.212186i | −0.672373 | − | 0.740212i | \(-0.734725\pi\) |
0.304856 | + | 0.952398i | \(0.401392\pi\) | |||||||
\(600\) | 15.6971 | − | 6.15364i | 0.640830 | − | 0.251221i | ||||
\(601\) | −16.6353 | − | 9.60440i | −0.678569 | − | 0.391772i | 0.120747 | − | 0.992683i | \(-0.461471\pi\) |
−0.799316 | + | 0.600912i | \(0.794804\pi\) | |||||||
\(602\) | −0.756407 | − | 2.72903i | −0.0308288 | − | 0.111227i | ||||
\(603\) | 11.6199 | + | 1.04479i | 0.473197 | + | 0.0425473i | ||||
\(604\) | −3.16055 | − | 5.26345i | −0.128601 | − | 0.214167i | ||||
\(605\) | −1.04807 | + | 0.280829i | −0.0426101 | + | 0.0114173i | ||||
\(606\) | −3.74367 | − | 39.4362i | −0.152076 | − | 1.60199i | ||||
\(607\) | −12.1261 | + | 7.00100i | −0.492183 | + | 0.284162i | −0.725480 | − | 0.688244i | \(-0.758382\pi\) |
0.233297 | + | 0.972406i | \(0.425049\pi\) | |||||||
\(608\) | −31.3546 | + | 9.86134i | −1.27160 | + | 0.399930i | ||||
\(609\) | 1.10319 | + | 1.57955i | 0.0447033 | + | 0.0640068i | ||||
\(610\) | −9.81470 | + | 5.77941i | −0.397386 | + | 0.234001i | ||||
\(611\) | −22.2072 | + | 22.2072i | −0.898406 | + | 0.898406i | ||||
\(612\) | −7.32412 | + | 21.0861i | −0.296060 | + | 0.852355i | ||||
\(613\) | 17.8303 | + | 17.8303i | 0.720159 | + | 0.720159i | 0.968637 | − | 0.248478i | \(-0.0799304\pi\) |
−0.248478 | + | 0.968637i | \(0.579930\pi\) | |||||||
\(614\) | −5.07302 | + | 19.6043i | −0.204730 | + | 0.791165i | ||||
\(615\) | 10.4516 | + | 4.88898i | 0.421449 | + | 0.197143i | ||||
\(616\) | 0.590627 | − | 2.45548i | 0.0237970 | − | 0.0989341i | ||||
\(617\) | −24.3668 | − | 42.2045i | −0.980970 | − | 1.69909i | −0.658630 | − | 0.752467i | \(-0.728864\pi\) |
−0.322340 | − | 0.946624i | \(-0.604469\pi\) | |||||||
\(618\) | 0.104514 | + | 0.280686i | 0.00420415 | + | 0.0112909i | ||||
\(619\) | −2.99775 | − | 11.1877i | −0.120490 | − | 0.449673i | 0.879149 | − | 0.476547i | \(-0.158112\pi\) |
−0.999639 | + | 0.0268731i | \(0.991445\pi\) | |||||||
\(620\) | −6.15239 | + | 24.6457i | −0.247086 | + | 0.989797i | ||||
\(621\) | 9.45565 | + | 0.0341372i | 0.379442 | + | 0.00136988i | ||||
\(622\) | −19.5906 | − | 11.0875i | −0.785511 | − | 0.444570i | ||||
\(623\) | −0.263191 | + | 0.455861i | −0.0105445 | + | 0.0182637i | ||||
\(624\) | −18.2445 | − | 7.78261i | −0.730363 | − | 0.311554i | ||||
\(625\) | 2.02612 | + | 3.50934i | 0.0810447 | + | 0.140374i | ||||
\(626\) | −0.138796 | − | 16.1704i | −0.00554742 | − | 0.646299i | ||||
\(627\) | 30.1139 | − | 10.9196i | 1.20264 | − | 0.436085i | ||||
\(628\) | 8.11292 | − | 8.39635i | 0.323741 | − | 0.335051i | ||||
\(629\) | −6.58363 | + | 6.58363i | −0.262506 | + | 0.262506i | ||||
\(630\) | 0.120352 | − | 1.48092i | 0.00479495 | − | 0.0590015i | ||||
\(631\) | 1.63509 | 0.0650918 | 0.0325459 | − | 0.999470i | \(-0.489638\pi\) | ||||
0.0325459 | + | 0.999470i | \(0.489638\pi\) | |||||||
\(632\) | −24.9934 | − | 13.5842i | −0.994182 | − | 0.540351i | ||||
\(633\) | 16.7470 | + | 23.9785i | 0.665632 | + | 0.953060i | ||||
\(634\) | 27.5316 | + | 27.0630i | 1.09342 | + | 1.07481i | ||||
\(635\) | −1.17588 | + | 4.38844i | −0.0466633 | + | 0.174150i | ||||
\(636\) | 38.3918 | + | 17.1617i | 1.52233 | + | 0.680507i | ||||
\(637\) | 5.12858 | + | 19.1401i | 0.203202 | + | 0.758359i | ||||
\(638\) | 15.5332 | + | 8.79120i | 0.614965 | + | 0.348047i | ||||
\(639\) | 31.5689 | − | 5.48814i | 1.24885 | − | 0.217107i | ||||
\(640\) | 4.46806 | + | 13.3983i | 0.176616 | + | 0.529616i | ||||
\(641\) | −33.5608 | − | 19.3763i | −1.32557 | − | 0.765319i | −0.340960 | − | 0.940078i | \(-0.610752\pi\) |
−0.984611 | + | 0.174759i | \(0.944085\pi\) | |||||||
\(642\) | 11.9939 | + | 16.8628i | 0.473360 | + | 0.665521i | ||||
\(643\) | 5.22528 | − | 19.5010i | 0.206065 | − | 0.769044i | −0.783058 | − | 0.621949i | \(-0.786341\pi\) |
0.989122 | − | 0.147095i | \(-0.0469924\pi\) | |||||||
\(644\) | −0.892842 | − | 0.495245i | −0.0351829 | − | 0.0195154i | ||||
\(645\) | −11.8115 | − | 9.93523i | −0.465076 | − | 0.391199i | ||||
\(646\) | 29.5957 | + | 7.65850i | 1.16443 | + | 0.301320i | ||||
\(647\) | 28.2882i | 1.11212i | 0.831141 | + | 0.556062i | \(0.187688\pi\) | ||||
−0.831141 | + | 0.556062i | \(0.812312\pi\) | |||||||
\(648\) | 23.7332 | − | 9.20527i | 0.932327 | − | 0.361617i | ||||
\(649\) | 17.7456i | 0.696575i | ||||||||
\(650\) | 3.49080 | − | 13.4899i | 0.136920 | − | 0.529119i | ||||
\(651\) | −3.78315 | − | 3.18220i | −0.148273 | − | 0.124720i | ||||
\(652\) | 34.1421 | − | 9.77950i | 1.33711 | − | 0.382995i | ||||
\(653\) | 0.228971 | − | 0.854532i | 0.00896033 | − | 0.0334404i | −0.961301 | − | 0.275500i | \(-0.911156\pi\) |
0.970261 | + | 0.242060i | \(0.0778231\pi\) | |||||||
\(654\) | −9.62360 | + | 6.84491i | −0.376312 | + | 0.267657i | ||||
\(655\) | −16.7766 | − | 9.68599i | −0.655517 | − | 0.378463i | ||||
\(656\) | 10.0319 | − | 18.8412i | 0.391681 | − | 0.735625i | ||||
\(657\) | 27.5001 | − | 4.78079i | 1.07288 | − | 0.186517i | ||||
\(658\) | −2.14359 | + | 3.78752i | −0.0835659 | + | 0.147653i | ||||
\(659\) | 13.0375 | + | 48.6567i | 0.507869 | + | 1.89539i | 0.440704 | + | 0.897653i | \(0.354729\pi\) |
0.0671656 | + | 0.997742i | \(0.478604\pi\) | |||||||
\(660\) | −4.91356 | − | 12.8575i | −0.191260 | − | 0.500478i | ||||
\(661\) | −7.17239 | + | 26.7677i | −0.278974 | + | 1.04114i | 0.674158 | + | 0.738587i | \(0.264507\pi\) |
−0.953131 | + | 0.302557i | \(0.902160\pi\) | |||||||
\(662\) | −11.3952 | + | 11.5925i | −0.442886 | + | 0.450555i | ||||
\(663\) | 10.5632 | + | 15.1246i | 0.410242 | + | 0.587390i | ||||
\(664\) | −1.82451 | − | 6.16920i | −0.0708048 | − | 0.239411i | ||||
\(665\) | −2.03486 | −0.0789086 | ||||||||
\(666\) | 10.5830 | + | 0.860060i | 0.410082 | + | 0.0333267i | ||||
\(667\) | 5.10222 | − | 5.10222i | 0.197559 | − | 0.197559i | ||||
\(668\) | 0.479010 | + | 27.9013i | 0.0185334 | + | 1.07953i | ||||
\(669\) | −23.2367 | + | 8.42580i | −0.898381 | + | 0.325760i | ||||
\(670\) | −6.86548 | + | 0.0589290i | −0.265237 | + | 0.00227663i | ||||
\(671\) | −10.2672 | − | 17.7834i | −0.396363 | − | 0.686520i | ||||
\(672\) | −2.72443 | − | 0.364003i | −0.105097 | − | 0.0140417i | ||||
\(673\) | −16.5237 | + | 28.6198i | −0.636941 | + | 1.10321i | 0.349160 | + | 0.937063i | \(0.386467\pi\) |
−0.986100 | + | 0.166150i | \(0.946866\pi\) | |||||||
\(674\) | −6.09071 | + | 10.7617i | −0.234605 | + | 0.414525i | ||||
\(675\) | 8.88549 | + | 15.5192i | 0.342003 | + | 0.597336i | ||||
\(676\) | 8.23631 | − | 4.94566i | 0.316781 | − | 0.190218i | ||||
\(677\) | 2.69118 | + | 10.0436i | 0.103430 | + | 0.386007i | 0.998162 | − | 0.0605961i | \(-0.0193002\pi\) |
−0.894732 | + | 0.446603i | \(0.852633\pi\) | |||||||
\(678\) | 5.07147 | − | 1.88836i | 0.194768 | − | 0.0725221i | ||||
\(679\) | −2.57829 | − | 4.46572i | −0.0989455 | − | 0.171379i | ||||
\(680\) | 3.07207 | − | 12.7719i | 0.117809 | − | 0.489779i | ||||
\(681\) | −13.8150 | − | 6.46231i | −0.529393 | − | 0.247636i | ||||
\(682\) | −44.3362 | − | 11.4729i | −1.69772 | − | 0.439320i | ||||
\(683\) | −9.18142 | − | 9.18142i | −0.351317 | − | 0.351317i | 0.509282 | − | 0.860600i | \(-0.329911\pi\) |
−0.860600 | + | 0.509282i | \(0.829911\pi\) | |||||||
\(684\) | −15.1983 | − | 31.3754i | −0.581122 | − | 1.19967i | ||||
\(685\) | 18.3723 | − | 18.3723i | 0.701968 | − | 0.701968i | ||||
\(686\) | 2.80247 | + | 4.75920i | 0.106999 | + | 0.181707i | ||||
\(687\) | 24.7225 | + | 35.3980i | 0.943223 | + | 1.35052i | ||||
\(688\) | −19.4847 | + | 20.8708i | −0.742848 | + | 0.795691i | ||||
\(689\) | 30.0988 | − | 17.3776i | 1.14667 | − | 0.662033i | ||||
\(690\) | −5.53967 | + | 0.525880i | −0.210891 | + | 0.0200199i | ||||
\(691\) | 24.3744 | − | 6.53111i | 0.927247 | − | 0.248455i | 0.236567 | − | 0.971615i | \(-0.423978\pi\) |
0.690680 | + | 0.723160i | \(0.257311\pi\) | |||||||
\(692\) | 1.19852 | − | 4.80114i | 0.0455610 | − | 0.182512i | ||||
\(693\) | 2.66795 | + | 0.239887i | 0.101347 | + | 0.00911256i | ||||
\(694\) | 4.38356 | − | 1.21499i | 0.166398 | − | 0.0461204i | ||||
\(695\) | 0.897694 | + | 0.518284i | 0.0340515 | + | 0.0196596i | ||||
\(696\) | 7.77491 | − | 17.8015i | 0.294707 | − | 0.674763i | ||||
\(697\) | −17.1932 | + | 9.92649i | −0.651239 | + | 0.375993i | ||||
\(698\) | −32.8535 | + | 33.4224i | −1.24352 | + | 1.26506i | ||||
\(699\) | −7.26153 | + | 8.63283i | −0.274656 | + | 0.326524i | ||||
\(700\) | −0.0331455 | − | 1.93066i | −0.00125278 | − | 0.0729719i | ||||
\(701\) | 32.8695 | + | 32.8695i | 1.24146 | + | 1.24146i | 0.959394 | + | 0.282069i | \(0.0910207\pi\) |
0.282069 | + | 0.959394i | \(0.408979\pi\) | |||||||
\(702\) | 5.34398 | − | 20.3482i | 0.201695 | − | 0.767994i | ||||
\(703\) | − | 14.5415i | − | 0.548443i | ||||||
\(704\) | −24.2237 | + | 7.84770i | −0.912965 | + | 0.295771i | ||||
\(705\) | 2.03883 | + | 23.6314i | 0.0767867 | + | 0.890011i | ||||
\(706\) | −0.100760 | − | 11.7389i | −0.00379213 | − | 0.441800i | ||||
\(707\) | −4.38221 | − | 1.17421i | −0.164810 | − | 0.0441607i | ||||
\(708\) | 19.2106 | − | 1.99017i | 0.721977 | − | 0.0747951i | ||||
\(709\) | 41.1714 | − | 11.0318i | 1.54622 | − | 0.414310i | 0.617953 | − | 0.786215i | \(-0.287962\pi\) |
0.928271 | + | 0.371905i | \(0.121295\pi\) | |||||||
\(710\) | −18.1715 | + | 5.03659i | −0.681964 | + | 0.189020i | ||||
\(711\) | 10.3876 | − | 28.3275i | 0.389567 | − | 1.06236i | ||||
\(712\) | 5.30542 | − | 0.136642i | 0.198829 | − | 0.00512088i | ||||
\(713\) | −9.25715 | + | 16.0339i | −0.346683 | + | 0.600473i | ||||
\(714\) | 1.97043 | + | 1.62876i | 0.0737414 | + | 0.0609548i | ||||
\(715\) | −10.9881 | − | 2.94426i | −0.410932 | − | 0.110109i | ||||
\(716\) | 7.42912 | + | 25.9365i | 0.277639 | + | 0.969293i | ||||
\(717\) | −8.08031 | − | 1.43481i | −0.301765 | − | 0.0535838i | ||||
\(718\) | 20.9136 | − | 12.3150i | 0.780490 | − | 0.459593i | ||||
\(719\) | −8.84226 | −0.329761 | −0.164880 | − | 0.986314i | \(-0.552724\pi\) | ||||
−0.164880 | + | 0.986314i | \(0.552724\pi\) | |||||||
\(720\) | −13.3679 | + | 6.76117i | −0.498192 | + | 0.251974i | ||||
\(721\) | 0.0343022 | 0.00127748 | ||||||||
\(722\) | −17.9884 | + | 10.5925i | −0.669459 | + | 0.394212i | ||||
\(723\) | −8.78340 | − | 24.2229i | −0.326658 | − | 0.900858i | ||||
\(724\) | 18.5951 | − | 5.32629i | 0.691082 | − | 0.197950i | ||||
\(725\) | 13.1814 | + | 3.53195i | 0.489545 | + | 0.131173i | ||||
\(726\) | −1.99519 | + | 0.742909i | −0.0740484 | + | 0.0275719i | ||||
\(727\) | 11.4146 | − | 19.7707i | 0.423344 | − | 0.733254i | −0.572920 | − | 0.819611i | \(-0.694189\pi\) |
0.996264 | + | 0.0863576i | \(0.0275228\pi\) | |||||||
\(728\) | −1.56441 | + | 1.64712i | −0.0579807 | + | 0.0610463i | ||||
\(729\) | 13.3308 | + | 23.4796i | 0.493734 | + | 0.869613i | ||||
\(730\) | −15.8294 | + | 4.38744i | −0.585873 | + | 0.162387i | ||||
\(731\) | 25.6512 | − | 6.87321i | 0.948743 | − | 0.254215i | ||||
\(732\) | −18.1000 | + | 13.1093i | −0.668996 | + | 0.484532i | ||||
\(733\) | −28.8645 | − | 7.73423i | −1.06614 | − | 0.285670i | −0.317232 | − | 0.948348i | \(-0.602753\pi\) |
−0.748905 | + | 0.662678i | \(0.769420\pi\) | |||||||
\(734\) | −0.0179373 | − | 2.08978i | −0.000662079 | − | 0.0771351i | ||||
\(735\) | 13.5558 | + | 6.34103i | 0.500012 | + | 0.233892i | ||||
\(736\) | 0.441643 | + | 10.2846i | 0.0162792 | + | 0.379095i | ||||
\(737\) | − | 12.3780i | − | 0.455950i | ||||||
\(738\) | 21.3224 | + | 7.61190i | 0.784887 | + | 0.280198i | ||||
\(739\) | 6.92568 | + | 6.92568i | 0.254765 | + | 0.254765i | 0.822921 | − | 0.568156i | \(-0.192343\pi\) |
−0.568156 | + | 0.822921i | \(0.692343\pi\) | |||||||
\(740\) | −6.24756 | + | 0.107258i | −0.229665 | + | 0.00394289i | ||||
\(741\) | −28.3688 | − | 5.03740i | −1.04215 | − | 0.185053i | ||||
\(742\) | 3.37620 | − | 3.43467i | 0.123944 | − | 0.126091i | ||||
\(743\) | 27.7583 | − | 16.0262i | 1.01835 | − | 0.587946i | 0.104726 | − | 0.994501i | \(-0.466603\pi\) |
0.913626 | + | 0.406555i | \(0.133270\pi\) | |||||||
\(744\) | −7.44774 | + | 49.2830i | −0.273047 | + | 1.80680i | ||||
\(745\) | 5.74942 | + | 3.31943i | 0.210642 | + | 0.121614i | ||||
\(746\) | 44.6548 | − | 12.3770i | 1.63493 | − | 0.453153i | ||||
\(747\) | 6.19119 | − | 2.86888i | 0.226524 | − | 0.104967i | ||||
\(748\) | 22.9776 | + | 5.73597i | 0.840145 | + | 0.209728i | ||||
\(749\) | 2.28916 | − | 0.613380i | 0.0836442 | − | 0.0224124i | ||||
\(750\) | −14.9615 | − | 21.0351i | −0.546317 | − | 0.768095i | ||||
\(751\) | −7.35037 | + | 4.24374i | −0.268219 | + | 0.154856i | −0.628078 | − | 0.778151i | \(-0.716158\pi\) |
0.359859 | + | 0.933007i | \(0.382825\pi\) | |||||||
\(752\) | 43.8530 | − | 1.50618i | 1.59916 | − | 0.0549248i | ||||
\(753\) | 16.8269 | − | 1.45176i | 0.613207 | − | 0.0529051i | ||||
\(754\) | −8.14615 | − | 13.8340i | −0.296665 | − | 0.503803i | ||||
\(755\) | −2.70975 | + | 2.70975i | −0.0986179 | + | 0.0986179i | ||||
\(756\) | −0.0395199 | − | 2.91511i | −0.00143732 | − | 0.106021i | ||||
\(757\) | −15.2511 | − | 15.2511i | −0.554309 | − | 0.554309i | 0.373372 | − | 0.927682i | \(-0.378201\pi\) |
−0.927682 | + | 0.373372i | \(0.878201\pi\) | |||||||
\(758\) | 37.2816 | + | 9.64738i | 1.35413 | + | 0.350409i | ||||
\(759\) | −0.862335 | − | 9.99505i | −0.0313008 | − | 0.362797i | ||||
\(760\) | 10.7122 | + | 17.4976i | 0.388571 | + | 0.634704i | ||||
\(761\) | 1.63439 | + | 2.83084i | 0.0592465 | + | 0.102618i | 0.894127 | − | 0.447813i | \(-0.147797\pi\) |
−0.834881 | + | 0.550431i | \(0.814464\pi\) | |||||||
\(762\) | −1.48316 | + | 8.79028i | −0.0537293 | + | 0.318438i | ||||
\(763\) | 0.350056 | + | 1.30643i | 0.0126729 | + | 0.0472959i | ||||
\(764\) | −14.5919 | − | 24.3007i | −0.527915 | − | 0.879170i | ||||
\(765\) | 13.8770 | + | 1.24774i | 0.501725 | + | 0.0451123i | ||||
\(766\) | 5.56747 | − | 9.83718i | 0.201161 | − | 0.355432i | ||||
\(767\) | 7.98088 | − | 13.8233i | 0.288173 | − | 0.499130i | ||||
\(768\) | 11.2123 | + | 25.3433i | 0.404588 | + | 0.914499i | ||||
\(769\) | 19.1814 | + | 33.2232i | 0.691701 | + | 1.19806i | 0.971280 | + | 0.237938i | \(0.0764716\pi\) |
−0.279580 | + | 0.960123i | \(0.590195\pi\) | |||||||
\(770\) | −1.57633 | + | 0.0135302i | −0.0568071 | + | 0.000487596i | ||||
\(771\) | 0.760304 | − | 4.28176i | 0.0273817 | − | 0.154204i | ||||
\(772\) | 25.8769 | − | 0.444254i | 0.931328 | − | 0.0159891i | ||||
\(773\) | 20.0548 | − | 20.0548i | 0.721320 | − | 0.721320i | −0.247554 | − | 0.968874i | \(-0.579627\pi\) |
0.968874 | + | 0.247554i | \(0.0796267\pi\) | |||||||
\(774\) | −24.9144 | − | 17.2169i | −0.895530 | − | 0.618849i | ||||
\(775\) | −35.0148 | −1.25777 | ||||||||
\(776\) | −24.8274 | + | 45.6794i | −0.891251 | + | 1.63980i | ||||
\(777\) | 0.515242 | − | 1.10148i | 0.0184842 | − | 0.0395153i | ||||
\(778\) | 8.47329 | − | 8.62001i | 0.303782 | − | 0.309042i | ||||
\(779\) | 8.02512 | − | 29.9501i | 0.287530 | − | 1.07308i | ||||
\(780\) | −1.95500 | + | 12.2254i | −0.0700002 | + | 0.437741i | ||||
\(781\) | −8.79878 | − | 32.8375i | −0.314845 | − | 1.17502i | ||||
\(782\) | 4.71580 | − | 8.33236i | 0.168637 | − | 0.297965i | ||||
\(783\) | 19.8822 | + | 5.40442i | 0.710532 | + | 0.193138i | ||||
\(784\) | 13.0114 | − | 24.4371i | 0.464694 | − | 0.872754i | ||||
\(785\) | −6.31134 | − | 3.64385i | −0.225261 | − | 0.130055i | ||||
\(786\) | −34.5670 | − | 15.8093i | −1.23296 | − | 0.563901i | ||||
\(787\) | 2.45116 | − | 9.14785i | 0.0873744 | − | 0.326086i | −0.908379 | − | 0.418148i | \(-0.862679\pi\) |
0.995753 | + | 0.0920625i | \(0.0293460\pi\) | |||||||
\(788\) | −6.24859 | − | 21.8150i | −0.222597 | − | 0.777128i | ||||
\(789\) | −5.91736 | + | 2.14568i | −0.210664 | + | 0.0763883i | ||||
\(790\) | −4.44818 | + | 17.1896i | −0.158259 | + | 0.611580i | ||||
\(791\) | − | 0.619775i | − | 0.0220367i | ||||||
\(792\) | −11.9822 | − | 24.2043i | −0.425768 | − | 0.860062i | ||||
\(793\) | 18.4703i | 0.655900i | ||||||||
\(794\) | 42.5871 | + | 11.0203i | 1.51136 | + | 0.391095i | ||||
\(795\) | 4.58917 | − | 25.8446i | 0.162761 | − | 0.916613i | ||||
\(796\) | −10.5936 | + | 19.0985i | −0.375482 | + | 0.676929i | ||||
\(797\) | 7.19855 | − | 26.8654i | 0.254986 | − | 0.951620i | −0.713112 | − | 0.701050i | \(-0.752715\pi\) |
0.968098 | − | 0.250571i | \(-0.0806182\pi\) | |||||||
\(798\) | −3.97483 | + | 0.377330i | −0.140707 | + | 0.0133573i | ||||
\(799\) | −35.3432 | − | 20.4054i | −1.25035 | − | 0.721891i | ||||
\(800\) | −16.4270 | + | 10.4486i | −0.580783 | + | 0.369414i | ||||
\(801\) | 0.964141 | + | 5.54594i | 0.0340662 | + | 0.195956i | ||||
\(802\) | −21.9165 | − | 12.4039i | −0.773899 | − | 0.437998i | ||||
\(803\) | −7.66474 | − | 28.6052i | −0.270483 | − | 1.00946i | ||||
\(804\) | −13.3999 | + | 1.38820i | −0.472577 | + | 0.0489579i | ||||
\(805\) | −0.164943 | + | 0.615577i | −0.00581349 | + | 0.0216962i | ||||
\(806\) | 29.3768 | + | 28.8767i | 1.03475 | + | 1.01714i | ||||
\(807\) | −30.1716 | + | 2.60309i | −1.06209 | + | 0.0916332i | ||||
\(808\) | 12.9725 | + | 43.8636i | 0.456370 | + | 1.54312i | ||||
\(809\) | 48.8492 | 1.71745 | 0.858724 | − | 0.512439i | \(-0.171258\pi\) | ||||
0.858724 | + | 0.512439i | \(0.171258\pi\) | |||||||
\(810\) | −9.16266 | − | 12.9812i | −0.321943 | − | 0.456113i | ||||
\(811\) | −5.86383 | + | 5.86383i | −0.205907 | + | 0.205907i | −0.802525 | − | 0.596618i | \(-0.796511\pi\) |
0.596618 | + | 0.802525i | \(0.296511\pi\) | |||||||
\(812\) | −1.59988 | − | 1.54587i | −0.0561448 | − | 0.0542496i | ||||
\(813\) | 36.1404 | + | 30.3996i | 1.26750 | + | 1.06616i | ||||
\(814\) | −0.0966897 | − | 11.2648i | −0.00338897 | − | 0.394830i | ||||
\(815\) | −11.0840 | − | 19.1981i | −0.388256 | − | 0.672480i | ||||
\(816\) | 3.63256 | − | 25.5178i | 0.127165 | − | 0.893303i | ||||
\(817\) | −20.7378 | + | 35.9189i | −0.725524 | + | 1.25664i | ||||
\(818\) | 29.8588 | + | 16.8990i | 1.04399 | + | 0.590858i | ||||
\(819\) | −1.97037 | − | 1.38675i | −0.0688502 | − | 0.0484568i | ||||
\(820\) | −12.9269 | − | 3.22697i | −0.451426 | − | 0.112691i | ||||
\(821\) | −0.828375 | − | 3.09154i | −0.0289105 | − | 0.107895i | 0.949963 | − | 0.312363i | \(-0.101120\pi\) |
−0.978873 | + | 0.204467i | \(0.934454\pi\) | |||||||
\(822\) | 32.4809 | − | 39.2946i | 1.13290 | − | 1.37056i | ||||
\(823\) | −20.9908 | − | 36.3572i | −0.731695 | − | 1.26733i | −0.956158 | − | 0.292850i | \(-0.905396\pi\) |
0.224464 | − | 0.974482i | \(-0.427937\pi\) | |||||||
\(824\) | −0.180578 | − | 0.294961i | −0.00629073 | − | 0.0102755i | ||||
\(825\) | 15.5550 | − | 10.8638i | 0.541555 | − | 0.378231i | ||||
\(826\) | 0.554122 | − | 2.14136i | 0.0192804 | − | 0.0745076i | ||||
\(827\) | −12.7209 | − | 12.7209i | −0.442348 | − | 0.442348i | 0.450453 | − | 0.892800i | \(-0.351263\pi\) |
−0.892800 | + | 0.450453i | \(0.851263\pi\) | |||||||
\(828\) | −10.7235 | + | 2.05447i | −0.372667 | + | 0.0713978i | ||||
\(829\) | −10.4132 | + | 10.4132i | −0.361665 | + | 0.361665i | −0.864425 | − | 0.502761i | \(-0.832318\pi\) |
0.502761 | + | 0.864425i | \(0.332318\pi\) | |||||||
\(830\) | −3.46025 | + | 2.03757i | −0.120107 | + | 0.0707252i | ||||
\(831\) | −12.6914 | + | 27.1315i | −0.440260 | + | 0.941181i | ||||
\(832\) | 22.3989 | + | 4.78120i | 0.776544 | + | 0.165758i | ||||
\(833\) | −22.2996 | + | 12.8747i | −0.772637 | + | 0.446082i | ||||
\(834\) | 1.84963 | + | 0.845936i | 0.0640475 | + | 0.0292924i | ||||
\(835\) | 16.8246 | − | 4.50815i | 0.582241 | − | 0.156011i | ||||
\(836\) | −31.7104 | + | 19.0411i | −1.09673 | + | 0.658552i | ||||
\(837\) | −52.8657 | − | 0.190858i | −1.82731 | − | 0.00659702i | ||||
\(838\) | 4.31702 | + | 15.5754i | 0.149129 | + | 0.538042i | ||||
\(839\) | −25.7863 | − | 14.8877i | −0.890241 | − | 0.513981i | −0.0162196 | − | 0.999868i | \(-0.505163\pi\) |
−0.874021 | + | 0.485888i | \(0.838496\pi\) | |||||||
\(840\) | 0.191433 | + | 1.70495i | 0.00660507 | + | 0.0588263i | ||||
\(841\) | −11.4986 | + | 6.63872i | −0.396503 | + | 0.228921i | ||||
\(842\) | 17.4477 | + | 17.1507i | 0.601287 | + | 0.591053i | ||||
\(843\) | 8.32164 | + | 22.9494i | 0.286613 | + | 0.790420i | ||||
\(844\) | −24.2871 | − | 23.4672i | −0.835996 | − | 0.807775i | ||||
\(845\) | −4.24025 | − | 4.24025i | −0.145869 | − | 0.145869i | ||||
\(846\) | 8.36462 | + | 45.7827i | 0.287581 | + | 1.57404i | ||||
\(847\) | 0.243829i | 0.00837805i | ||||||||
\(848\) | −47.3078 | − | 10.9505i | −1.62456 | − | 0.376040i | ||||
\(849\) | 0.924350 | − | 0.645580i | 0.0317236 | − | 0.0221563i | ||||
\(850\) | 18.1065 | − | 0.155415i | 0.621048 | − | 0.00533069i | ||||
\(851\) | −4.39903 | − | 1.17872i | −0.150797 | − | 0.0404059i | ||||
\(852\) | −34.5616 | + | 13.2079i | −1.18406 | + | 0.452495i | ||||
\(853\) | −28.4092 | + | 7.61221i | −0.972711 | + | 0.260637i | −0.709972 | − | 0.704230i | \(-0.751292\pi\) |
−0.262739 | + | 0.964867i | \(0.584626\pi\) | |||||||
\(854\) | 0.683648 | + | 2.46653i | 0.0233940 | + | 0.0844029i | ||||
\(855\) | −16.7033 | + | 13.9474i | −0.571241 | + | 0.476990i | ||||
\(856\) | −17.3253 | − | 16.4553i | −0.592166 | − | 0.562429i | ||||
\(857\) | 14.3783 | − | 24.9039i | 0.491152 | − | 0.850700i | −0.508796 | − | 0.860887i | \(-0.669909\pi\) |
0.999948 | + | 0.0101867i | \(0.00324259\pi\) | |||||||
\(858\) | −22.0098 | − | 3.71365i | −0.751401 | − | 0.126782i | ||||
\(859\) | 9.26004 | + | 2.48122i | 0.315949 | + | 0.0846582i | 0.413308 | − | 0.910591i | \(-0.364373\pi\) |
−0.0973599 | + | 0.995249i | \(0.531040\pi\) | |||||||
\(860\) | 15.5850 | + | 8.64478i | 0.531446 | + | 0.294784i | ||||
\(861\) | 1.66909 | − | 1.98429i | 0.0568823 | − | 0.0676243i | ||||
\(862\) | 24.2418 | + | 41.1679i | 0.825678 | + | 1.40218i | ||||
\(863\) | 38.6895 | 1.31700 | 0.658502 | − | 0.752579i | \(-0.271190\pi\) | ||||
0.658502 | + | 0.752579i | \(0.271190\pi\) | |||||||
\(864\) | −24.8587 | + | 15.6859i | −0.845709 | + | 0.533645i | ||||
\(865\) | −3.08877 | −0.105021 | ||||||||
\(866\) | −23.4966 | − | 39.9024i | −0.798446 | − | 1.35594i | ||||
\(867\) | 3.52238 | − | 4.18757i | 0.119626 | − | 0.142217i | ||||
\(868\) | 4.99181 | + | 2.76888i | 0.169433 | + | 0.0939818i | ||||
\(869\) | −30.9207 | − | 8.28517i | −1.04891 | − | 0.281055i | ||||
\(870\) | −11.9560 | − | 2.01731i | −0.405346 | − | 0.0683931i | ||||
\(871\) | −5.56687 | + | 9.64210i | −0.188626 | + | 0.326710i | ||||
\(872\) | 9.39103 | − | 9.88755i | 0.318020 | − | 0.334835i | ||||
\(873\) | −51.7731 | − | 18.9851i | −1.75225 | − | 0.642548i | ||||
\(874\) | 3.99402 | + | 14.4100i | 0.135100 | + | 0.487425i | ||||
\(875\) | −2.85557 | + | 0.765148i | −0.0965360 | + | 0.0258667i | ||||
\(876\) | −30.1071 | + | 11.5056i | −1.01722 | + | 0.388737i | ||||
\(877\) | 33.8645 | + | 9.07397i | 1.14352 | + | 0.306406i | 0.780367 | − | 0.625322i | \(-0.215032\pi\) |
0.363157 | + | 0.931728i | \(0.381699\pi\) | |||||||
\(878\) | −41.6493 | + | 0.357492i | −1.40560 | + | 0.0120648i | ||||
\(879\) | −11.8956 | + | 8.30807i | −0.401228 | + | 0.280224i | ||||
\(880\) | 8.41467 | + | 13.4835i | 0.283658 | + | 0.454529i | ||||
\(881\) | − | 15.5358i | − | 0.523415i | −0.965147 | − | 0.261708i | \(-0.915714\pi\) | ||
0.965147 | − | 0.261708i | \(-0.0842856\pi\) | |||||||
\(882\) | 27.6552 | + | 9.87267i | 0.931199 | + | 0.332430i | ||||
\(883\) | −35.3696 | − | 35.3696i | −1.19028 | − | 1.19028i | −0.976988 | − | 0.213292i | \(-0.931581\pi\) |
−0.213292 | − | 0.976988i | \(-0.568419\pi\) | |||||||
\(884\) | −15.3192 | − | 14.8021i | −0.515240 | − | 0.497848i | ||||
\(885\) | −4.10946 | − | 11.3331i | −0.138138 | − | 0.380957i | ||||
\(886\) | −9.19270 | − | 9.03623i | −0.308835 | − | 0.303578i | ||||
\(887\) | −22.5037 | + | 12.9925i | −0.755599 | + | 0.436246i | −0.827714 | − | 0.561151i | \(-0.810359\pi\) |
0.0721141 | + | 0.997396i | \(0.477025\pi\) | |||||||
\(888\) | −12.1839 | + | 1.36802i | −0.408865 | + | 0.0459077i | ||||
\(889\) | 0.884169 | + | 0.510475i | 0.0296541 | + | 0.0171208i | ||||
\(890\) | −0.884814 | − | 3.19231i | −0.0296590 | − | 0.107007i | ||||
\(891\) | 23.5443 | − | 16.3176i | 0.788764 | − | 0.546659i | ||||
\(892\) | 24.4685 | − | 14.6926i | 0.819267 | − | 0.491945i | ||||
\(893\) | 61.5670 | − | 16.4968i | 2.06026 | − | 0.552045i | ||||
\(894\) | 11.8462 | + | 5.41793i | 0.396198 | + | 0.181203i | ||||
\(895\) | 14.5841 | − | 8.42011i | 0.487492 | − | 0.281453i | ||||
\(896\) | 3.16813 | − | 0.190577i | 0.105840 | − | 0.00636674i | ||||
\(897\) | −3.82343 | + | 8.17367i | −0.127661 | + | 0.272911i | ||||
\(898\) | 3.40217 | − | 2.00337i | 0.113532 | − | 0.0668534i | ||||
\(899\) | −28.5261 | + | 28.5261i | −0.951398 | + | 0.951398i | ||||
\(900\) | −13.5052 | − | 15.6207i | −0.450173 | − | 0.520691i | ||||
\(901\) | 31.9353 | + | 31.9353i | 1.06392 | + | 1.06392i | ||||
\(902\) | 6.01762 | − | 23.2546i | 0.200365 | − | 0.774295i | ||||
\(903\) | −2.84352 | + | 1.98596i | −0.0946266 | + | 0.0660887i | ||||
\(904\) | −5.32939 | + | 3.26270i | −0.177253 | + | 0.108516i | ||||
\(905\) | −6.03678 | − | 10.4560i | −0.200669 | − | 0.347569i | ||||
\(906\) | −4.79066 | + | 5.79561i | −0.159159 | + | 0.192546i | ||||
\(907\) | 7.10188 | + | 26.5046i | 0.235814 | + | 0.880070i | 0.977780 | + | 0.209633i | \(0.0672268\pi\) |
−0.741966 | + | 0.670437i | \(0.766106\pi\) | |||||||
\(908\) | 17.0869 | + | 4.26545i | 0.567048 | + | 0.141554i | ||||
\(909\) | −44.0200 | + | 20.3980i | −1.46005 | + | 0.676560i | ||||
\(910\) | 1.23400 | + | 0.698398i | 0.0409067 | + | 0.0231517i | ||||
\(911\) | 23.4177 | − | 40.5606i | 0.775863 | − | 1.34383i | −0.158445 | − | 0.987368i | \(-0.550648\pi\) |
0.934308 | − | 0.356466i | \(-0.116018\pi\) | |||||||
\(912\) | 24.1694 | + | 32.1928i | 0.800329 | + | 1.06601i | ||||
\(913\) | −3.61980 | − | 6.26967i | −0.119798 | − | 0.207496i | ||||
\(914\) | 0.0267637 | + | 3.11809i | 0.000885264 | + | 0.103137i | ||||
\(915\) | 10.6753 | + | 8.97957i | 0.352915 | + | 0.296855i | ||||
\(916\) | −35.8535 | − | 34.6432i | −1.18463 | − | 1.14464i | ||||
\(917\) | −3.07820 | + | 3.07820i | −0.101651 | + | 0.101651i | ||||
\(918\) | 27.3383 | − | 0.135952i | 0.902297 | − | 0.00448710i | ||||
\(919\) | −0.421071 | −0.0138899 | −0.00694493 | − | 0.999976i | \(-0.502211\pi\) | ||||
−0.00694493 | + | 0.999976i | \(0.502211\pi\) | |||||||
\(920\) | 6.16160 | − | 1.82226i | 0.203142 | − | 0.0600783i | ||||
\(921\) | 24.7093 | − | 2.13183i | 0.814200 | − | 0.0702461i | ||||
\(922\) | −20.0314 | − | 19.6905i | −0.659700 | − | 0.648472i | ||||
\(923\) | −7.91430 | + | 29.5366i | −0.260503 | + | 0.972209i | ||||
\(924\) | −3.07665 | + | 0.318733i | −0.101214 | + | 0.0104856i | ||||
\(925\) | −2.22922 | − | 8.31957i | −0.0732964 | − | 0.273546i | ||||
\(926\) | −1.98036 | − | 1.12081i | −0.0650788 | − | 0.0368321i | ||||
\(927\) | 0.281572 | − | 0.235115i | 0.00924805 | − | 0.00772218i | ||||
\(928\) | −4.87053 | + | 21.8952i | −0.159883 | + | 0.718745i | ||||
\(929\) | −5.41100 | − | 3.12404i | −0.177529 | − | 0.102496i | 0.408602 | − | 0.912713i | \(-0.366016\pi\) |
−0.586131 | + | 0.810216i | \(0.699350\pi\) | |||||||
\(930\) | 30.9718 | − | 2.94015i | 1.01561 | − | 0.0964113i | ||||
\(931\) | 10.4086 | − | 38.8455i | 0.341128 | − | 1.27311i | ||||
\(932\) | 6.31835 | − | 11.3909i | 0.206965 | − | 0.373121i | ||||
\(933\) | −4.82010 | + | 27.1451i | −0.157803 | + | 0.888689i | ||||
\(934\) | −19.2535 | − | 4.98223i | −0.629993 | − | 0.163024i | ||||
\(935\) | − | 14.7824i | − | 0.483437i | ||||||
\(936\) | −1.55184 | + | 24.2433i | −0.0507234 | + | 0.792416i | ||||
\(937\) | 41.2133i | 1.34638i | 0.739470 | + | 0.673189i | \(0.235076\pi\) | ||||
−0.739470 | + | 0.673189i | \(0.764924\pi\) | |||||||
\(938\) | −0.386515 | + | 1.49366i | −0.0126202 | + | 0.0487697i | ||||
\(939\) | −18.6191 | + | 6.75142i | −0.607610 | + | 0.220324i | ||||
\(940\) | −7.54176 | − | 26.3298i | −0.245985 | − | 0.858782i | ||||
\(941\) | 3.22526 | − | 12.0368i | 0.105141 | − | 0.392390i | −0.893221 | − | 0.449619i | \(-0.851560\pi\) |
0.998361 | + | 0.0572290i | \(0.0182265\pi\) | |||||||
\(942\) | −13.0040 | − | 5.94745i | −0.423695 | − | 0.193778i | ||||
\(943\) | −8.40987 | − | 4.85544i | −0.273863 | − | 0.158115i | ||||
\(944\) | −21.3305 | + | 6.50799i | −0.694247 | + | 0.211817i | ||||
\(945\) | −1.75942 | + | 0.464633i | −0.0572339 | + | 0.0151145i | ||||
\(946\) | −15.8260 | + | 27.9630i | −0.514547 | + | 0.909154i | ||||
\(947\) | 3.96886 | + | 14.8120i | 0.128971 | + | 0.481325i | 0.999950 | − | 0.00999447i | \(-0.00318139\pi\) |
−0.870979 | + | 0.491320i | \(0.836515\pi\) | |||||||
\(948\) | −5.50139 | + | 34.4025i | −0.178677 | + | 1.11734i | ||||
\(949\) | −6.89426 | + | 25.7297i | −0.223797 | + | 0.835222i | ||||
\(950\) | −19.8246 | + | 20.1679i | −0.643196 | + | 0.654333i | ||||
\(951\) | 20.0338 | − | 42.8281i | 0.649642 | − | 1.38879i | ||||
\(952\) | −2.59360 | − | 1.40966i | −0.0840592 | − | 0.0456873i | ||||
\(953\) | 20.0192 | 0.648486 | 0.324243 | − | 0.945974i | \(-0.394890\pi\) | ||||
0.324243 | + | 0.945974i | \(0.394890\pi\) | |||||||
\(954\) | 4.17190 | − | 51.3349i | 0.135070 | − | 1.66203i | ||||
\(955\) | −12.5106 | + | 12.5106i | −0.404833 | + | 0.404833i | ||||
\(956\) | 9.47490 | − | 0.162665i | 0.306440 | − | 0.00526097i | ||||
\(957\) | 3.82181 | − | 21.5231i | 0.123541 | − | 0.695742i | ||||
\(958\) | 40.6903 | − | 0.349260i | 1.31464 | − | 0.0112841i | ||||
\(959\) | −2.91935 | − | 5.05646i | −0.0942707 | − | 0.163282i | ||||
\(960\) | 13.6529 | − | 10.6215i | 0.440646 | − | 0.342808i | ||||
\(961\) | 36.2559 | − | 62.7971i | 1.16955 | − | 2.02571i | ||||
\(962\) | −4.99088 | + | 8.81841i | −0.160913 | + | 0.284317i | ||||
\(963\) | 14.5865 | − | 20.7254i | 0.470045 | − | 0.667866i | ||||
\(964\) | 15.3162 | + | 25.5070i | 0.493302 | + | 0.821526i | ||||
\(965\) | −4.18105 | − | 15.6039i | −0.134593 | − | 0.502307i | ||||
\(966\) | −0.208047 | + | 1.23303i | −0.00669379 | + | 0.0396722i | ||||
\(967\) | −16.3485 | − | 28.3164i | −0.525732 | − | 0.910594i | −0.999551 | − | 0.0299719i | \(-0.990458\pi\) |
0.473819 | − | 0.880622i | \(-0.342875\pi\) | |||||||
\(968\) | 2.09666 | − | 1.28359i | 0.0673892 | − | 0.0412562i | ||||
\(969\) | −3.21832 | − | 37.3025i | −0.103387 | − | 1.19833i | ||||
\(970\) | 31.4169 | + | 8.12977i | 1.00874 | + | 0.261031i | ||||
\(971\) | −12.2406 | − | 12.2406i | −0.392820 | − | 0.392820i | 0.482871 | − | 0.875691i | \(-0.339594\pi\) |
−0.875691 | + | 0.482871i | \(0.839594\pi\) | |||||||
\(972\) | −20.3052 | − | 23.6580i | −0.651288 | − | 0.758830i | ||||
\(973\) | 0.164710 | − | 0.164710i | 0.00528037 | − | 0.00528037i | ||||
\(974\) | 30.8704 | + | 52.4247i | 0.989151 | + | 1.67980i | ||||
\(975\) | −17.0028 | + | 1.46693i | −0.544524 | + | 0.0469795i | ||||
\(976\) | 17.6105 | − | 18.8632i | 0.563698 | − | 0.603797i | ||||
\(977\) | 34.1771 | − | 19.7322i | 1.09342 | − | 0.631288i | 0.158938 | − | 0.987289i | \(-0.449193\pi\) |
0.934486 | + | 0.356000i | \(0.115860\pi\) | |||||||
\(978\) | −25.2111 | − | 35.4455i | −0.806162 | − | 1.13342i | ||||
\(979\) | 5.76880 | − | 1.54575i | 0.184372 | − | 0.0494022i | ||||
\(980\) | −16.7662 | − | 4.18539i | −0.535577 | − | 0.133698i | ||||
\(981\) | 11.8280 | + | 8.32455i | 0.377639 | + | 0.265782i | ||||
\(982\) | 7.42246 | − | 2.05728i | 0.236860 | − | 0.0656506i | ||||
\(983\) | 3.78032 | + | 2.18257i | 0.120574 | + | 0.0696132i | 0.559074 | − | 0.829118i | \(-0.311157\pi\) |
−0.438500 | + | 0.898731i | \(0.644490\pi\) | |||||||
\(984\) | −25.8493 | − | 3.90639i | −0.824045 | − | 0.124531i | ||||
\(985\) | −12.2666 | + | 7.08211i | −0.390845 | + | 0.225655i | ||||
\(986\) | 14.6245 | − | 14.8777i | 0.465739 | − | 0.473804i | ||||
\(987\) | 5.24804 | + | 0.931885i | 0.167047 | + | 0.0296622i | ||||
\(988\) | 33.2650 | − | 0.571094i | 1.05830 | − | 0.0181689i | ||||
\(989\) | 9.18504 | + | 9.18504i | 0.292067 | + | 0.292067i | ||||
\(990\) | −12.8467 | + | 10.9156i | −0.408295 | + | 0.346920i | ||||
\(991\) | 21.1610i | 0.672200i | 0.941826 | + | 0.336100i | \(0.109108\pi\) | ||||
−0.941826 | + | 0.336100i | \(0.890892\pi\) | |||||||
\(992\) | −2.46919 | − | 57.5003i | −0.0783968 | − | 1.82564i | ||||
\(993\) | 18.0332 | + | 8.43546i | 0.572266 | + | 0.267691i | ||||
\(994\) | 0.0363700 | + | 4.23726i | 0.00115359 | + | 0.134398i | ||||
\(995\) | 13.1676 | + | 3.52825i | 0.417441 | + | 0.111853i | ||||
\(996\) | −6.38130 | + | 4.62177i | −0.202199 | + | 0.146446i | ||||
\(997\) | 12.7473 | − | 3.41563i | 0.403712 | − | 0.108174i | −0.0512486 | − | 0.998686i | \(-0.516320\pi\) |
0.454960 | + | 0.890512i | \(0.349653\pi\) | |||||||
\(998\) | −24.2983 | + | 6.73475i | −0.769148 | + | 0.213185i | ||||
\(999\) | −3.32036 | − | 12.5731i | −0.105051 | − | 0.397796i |
(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 | 144.2.u.a.11.16 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.7 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.6 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.1 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.22 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.7 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.22 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.17 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.17 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.7 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.7 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.1 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.7 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.7 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.6 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.16 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.16 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.22 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.22 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.16 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.1 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.7 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.7 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.1 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.17 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.6 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.6 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.17 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.7 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.7 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.7 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.7 | 88 | 144.13 | even | 12 |