Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(3,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([22, 33, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.w (of order \(44\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(1360\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 167.5 | ||
Character | \(\chi\) | \(=\) | 460.167 |
Dual form | 460.2.w.a.303.5 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36170 | − | 0.381811i | −0.962866 | − | 0.269981i | ||||
\(3\) | 0.472237 | + | 0.864838i | 0.272646 | + | 0.499314i | 0.977746 | − | 0.209794i | \(-0.0672794\pi\) |
−0.705099 | + | 0.709109i | \(0.749098\pi\) | |||||||
\(4\) | 1.70844 | + | 1.03982i | 0.854220 | + | 0.519911i | ||||
\(5\) | 1.07476 | − | 1.96084i | 0.480647 | − | 0.876914i | ||||
\(6\) | −0.312840 | − | 1.35795i | −0.127716 | − | 0.554382i | ||||
\(7\) | 0.0329582 | + | 0.0440270i | 0.0124570 | + | 0.0166406i | 0.806727 | − | 0.590925i | \(-0.201237\pi\) |
−0.794269 | + | 0.607566i | \(0.792146\pi\) | |||||||
\(8\) | −1.92936 | − | 2.06823i | −0.682133 | − | 0.731228i | ||||
\(9\) | 1.09699 | − | 1.70694i | 0.365662 | − | 0.568981i | ||||
\(10\) | −2.21217 | + | 2.25972i | −0.699549 | + | 0.714585i | ||||
\(11\) | 2.79634 | − | 1.27705i | 0.843128 | − | 0.385044i | 0.0534539 | − | 0.998570i | \(-0.482977\pi\) |
0.789674 | + | 0.613527i | \(0.210250\pi\) | |||||||
\(12\) | −0.0924886 | + | 1.96857i | −0.0266992 | + | 0.568276i | ||||
\(13\) | −4.11885 | − | 3.08333i | −1.14236 | − | 0.855163i | −0.151292 | − | 0.988489i | \(-0.548343\pi\) |
−0.991072 | + | 0.133326i | \(0.957434\pi\) | |||||||
\(14\) | −0.0280691 | − | 0.0725353i | −0.00750178 | − | 0.0193859i | ||||
\(15\) | 2.20335 | + | 0.00351062i | 0.568902 | + | 0.000906439i | ||||
\(16\) | 1.83754 | + | 3.55295i | 0.459385 | + | 0.888237i | ||||
\(17\) | −1.83390 | + | 0.131163i | −0.444786 | + | 0.0318117i | −0.291936 | − | 0.956438i | \(-0.594300\pi\) |
−0.152849 | + | 0.988249i | \(0.548845\pi\) | |||||||
\(18\) | −2.14549 | + | 1.90550i | −0.505698 | + | 0.449130i | ||||
\(19\) | −3.72926 | − | 4.30380i | −0.855552 | − | 0.987360i | 0.144446 | − | 0.989513i | \(-0.453860\pi\) |
−0.999998 | + | 0.00215306i | \(0.999315\pi\) | |||||||
\(20\) | 3.87509 | − | 2.23242i | 0.866496 | − | 0.499184i | ||||
\(21\) | −0.0225121 | + | 0.0492947i | −0.00491255 | + | 0.0107570i | ||||
\(22\) | −4.29536 | + | 0.671276i | −0.915773 | + | 0.143117i | ||||
\(23\) | 3.82421 | + | 2.89403i | 0.797403 | + | 0.603448i | ||||
\(24\) | 0.877562 | − | 2.64528i | 0.179132 | − | 0.539965i | ||||
\(25\) | −2.68979 | − | 4.21486i | −0.537957 | − | 0.842972i | ||||
\(26\) | 4.43138 | + | 5.77119i | 0.869065 | + | 1.13182i | ||||
\(27\) | 4.94284 | + | 0.353519i | 0.951251 | + | 0.0680348i | ||||
\(28\) | 0.0105269 | + | 0.109488i | 0.00198939 | + | 0.0206913i | ||||
\(29\) | 0.435721 | + | 0.377555i | 0.0809114 | + | 0.0701101i | 0.694378 | − | 0.719611i | \(-0.255680\pi\) |
−0.613466 | + | 0.789721i | \(0.710225\pi\) | |||||||
\(30\) | −2.99896 | − | 0.846044i | −0.547532 | − | 0.154466i | ||||
\(31\) | 1.88796 | + | 6.42980i | 0.339088 | + | 1.15483i | 0.935847 | + | 0.352406i | \(0.114636\pi\) |
−0.596759 | + | 0.802420i | \(0.703545\pi\) | |||||||
\(32\) | −1.14562 | − | 5.53964i | −0.202518 | − | 0.979278i | ||||
\(33\) | 2.42497 | + | 1.81531i | 0.422133 | + | 0.316005i | ||||
\(34\) | 2.54729 | + | 0.521598i | 0.436857 | + | 0.0894534i | ||||
\(35\) | 0.121752 | − | 0.0173073i | 0.0205798 | − | 0.00292547i | ||||
\(36\) | 3.64905 | − | 1.77554i | 0.608176 | − | 0.295923i | ||||
\(37\) | −0.681497 | − | 3.13279i | −0.112037 | − | 0.515028i | −0.998623 | − | 0.0524629i | \(-0.983293\pi\) |
0.886585 | − | 0.462565i | \(-0.153071\pi\) | |||||||
\(38\) | 3.43489 | + | 7.28435i | 0.557213 | + | 1.18168i | ||||
\(39\) | 0.721509 | − | 5.01821i | 0.115534 | − | 0.803556i | ||||
\(40\) | −6.12906 | + | 1.56033i | −0.969089 | + | 0.246710i | ||||
\(41\) | 4.72735 | − | 3.03809i | 0.738288 | − | 0.474469i | −0.116667 | − | 0.993171i | \(-0.537221\pi\) |
0.854955 | + | 0.518702i | \(0.173585\pi\) | |||||||
\(42\) | 0.0494760 | − | 0.0585291i | 0.00763431 | − | 0.00903123i | ||||
\(43\) | −0.741398 | − | 1.35777i | −0.113062 | − | 0.207058i | 0.815020 | − | 0.579432i | \(-0.196726\pi\) |
−0.928083 | + | 0.372374i | \(0.878544\pi\) | |||||||
\(44\) | 6.10528 | + | 0.725940i | 0.920405 | + | 0.109440i | ||||
\(45\) | −2.16805 | − | 3.98557i | −0.323193 | − | 0.594133i | ||||
\(46\) | −4.10244 | − | 5.40092i | −0.604872 | − | 0.796323i | ||||
\(47\) | 1.27671 | − | 1.27671i | 0.186227 | − | 0.186227i | −0.607836 | − | 0.794063i | \(-0.707962\pi\) |
0.794063 | + | 0.607836i | \(0.207962\pi\) | |||||||
\(48\) | −2.20497 | + | 3.26701i | −0.318260 | + | 0.471552i | ||||
\(49\) | 1.97128 | − | 6.71355i | 0.281611 | − | 0.959078i | ||||
\(50\) | 2.05340 | + | 6.76636i | 0.290394 | + | 0.956907i | ||||
\(51\) | −0.979470 | − | 1.52408i | −0.137153 | − | 0.213415i | ||||
\(52\) | −3.83070 | − | 9.55057i | −0.531222 | − | 1.32443i | ||||
\(53\) | 5.63444 | + | 7.52673i | 0.773950 | + | 1.03388i | 0.998237 | + | 0.0593525i | \(0.0189036\pi\) |
−0.224288 | + | 0.974523i | \(0.572005\pi\) | |||||||
\(54\) | −6.59568 | − | 2.36862i | −0.897558 | − | 0.322328i | ||||
\(55\) | 0.501309 | − | 6.85569i | 0.0675965 | − | 0.924421i | ||||
\(56\) | 0.0274694 | − | 0.153109i | 0.00367075 | − | 0.0204601i | ||||
\(57\) | 1.96099 | − | 5.25762i | 0.259740 | − | 0.696389i | ||||
\(58\) | −0.449166 | − | 0.680479i | −0.0589784 | − | 0.0893512i | ||||
\(59\) | −0.156368 | − | 1.08756i | −0.0203574 | − | 0.141589i | 0.977108 | − | 0.212745i | \(-0.0682403\pi\) |
−0.997465 | + | 0.0711559i | \(0.977331\pi\) | |||||||
\(60\) | 3.76064 | + | 2.29709i | 0.485497 | + | 0.296553i | ||||
\(61\) | 6.57987 | − | 1.93203i | 0.842467 | − | 0.247371i | 0.168103 | − | 0.985770i | \(-0.446236\pi\) |
0.674364 | + | 0.738399i | \(0.264418\pi\) | |||||||
\(62\) | −0.115861 | − | 9.47629i | −0.0147144 | − | 1.20349i | ||||
\(63\) | 0.111306 | − | 0.00796078i | 0.0140233 | − | 0.00100296i | ||||
\(64\) | −0.555111 | + | 7.98072i | −0.0693889 | + | 0.997590i | ||||
\(65\) | −10.4727 | + | 4.76257i | −1.29898 | + | 0.590724i | ||||
\(66\) | −2.60897 | − | 3.39779i | −0.321142 | − | 0.418239i | ||||
\(67\) | 1.00545 | + | 2.69570i | 0.122835 | + | 0.329332i | 0.983784 | − | 0.179359i | \(-0.0574022\pi\) |
−0.860949 | + | 0.508691i | \(0.830130\pi\) | |||||||
\(68\) | −3.26949 | − | 1.68284i | −0.396484 | − | 0.204075i | ||||
\(69\) | −0.696936 | + | 4.67399i | −0.0839012 | + | 0.562682i | ||||
\(70\) | −0.172398 | − | 0.0229189i | −0.0206054 | − | 0.00273933i | ||||
\(71\) | 6.29931 | + | 2.87680i | 0.747591 | + | 0.341413i | 0.752515 | − | 0.658575i | \(-0.228840\pi\) |
−0.00492473 | + | 0.999988i | \(0.501568\pi\) | |||||||
\(72\) | −5.64683 | + | 1.02450i | −0.665485 | + | 0.120739i | ||||
\(73\) | −14.4055 | − | 1.03031i | −1.68604 | − | 0.120588i | −0.804891 | − | 0.593423i | \(-0.797776\pi\) |
−0.881151 | + | 0.472835i | \(0.843231\pi\) | |||||||
\(74\) | −0.268142 | + | 4.52612i | −0.0311708 | + | 0.526150i | ||||
\(75\) | 2.37495 | − | 4.31664i | 0.274236 | − | 0.498443i | ||||
\(76\) | −1.89604 | − | 11.2306i | −0.217491 | − | 1.28823i | ||||
\(77\) | 0.148387 | + | 0.0810253i | 0.0169102 | + | 0.00923369i | ||||
\(78\) | −2.89848 | + | 6.55780i | −0.328189 | + | 0.742524i | ||||
\(79\) | 1.27763 | + | 8.88608i | 0.143744 | + | 0.999763i | 0.926194 | + | 0.377048i | \(0.123061\pi\) |
−0.782449 | + | 0.622714i | \(0.786030\pi\) | |||||||
\(80\) | 8.94168 | + | 0.215445i | 0.999710 | + | 0.0240875i | ||||
\(81\) | −0.500233 | − | 1.09536i | −0.0555814 | − | 0.121706i | ||||
\(82\) | −7.59720 | + | 2.33200i | −0.838970 | + | 0.257526i | ||||
\(83\) | −1.19222 | − | 5.48054i | −0.130863 | − | 0.601567i | −0.995133 | − | 0.0985395i | \(-0.968583\pi\) |
0.864270 | − | 0.503028i | \(-0.167781\pi\) | |||||||
\(84\) | −0.0897183 | + | 0.0608084i | −0.00978907 | + | 0.00663474i | ||||
\(85\) | −1.71381 | + | 3.73695i | −0.185889 | + | 0.405329i | ||||
\(86\) | 0.491149 | + | 2.13195i | 0.0529619 | + | 0.229894i | ||||
\(87\) | −0.120760 | + | 0.555124i | −0.0129468 | + | 0.0595155i | ||||
\(88\) | −8.03637 | − | 3.31957i | −0.856680 | − | 0.353868i | ||||
\(89\) | −0.866857 | + | 2.95225i | −0.0918867 | + | 0.312937i | −0.992592 | − | 0.121493i | \(-0.961232\pi\) |
0.900706 | + | 0.434430i | \(0.143050\pi\) | |||||||
\(90\) | 1.43049 | + | 6.25492i | 0.150787 | + | 0.659327i | ||||
\(91\) | − | 0.282962i | − | 0.0296625i | ||||||
\(92\) | 3.52415 | + | 8.92078i | 0.367418 | + | 0.930056i | ||||
\(93\) | −4.66917 | + | 4.66917i | −0.484170 | + | 0.484170i | ||||
\(94\) | −2.22595 | + | 1.25103i | −0.229589 | + | 0.129034i | ||||
\(95\) | −12.4471 | + | 2.68694i | −1.27705 | + | 0.275675i | ||||
\(96\) | 4.24988 | − | 3.60679i | 0.433752 | − | 0.368117i | ||||
\(97\) | 4.43239 | + | 0.964207i | 0.450041 | + | 0.0979004i | 0.431873 | − | 0.901935i | \(-0.357853\pi\) |
0.0181681 | + | 0.999835i | \(0.494217\pi\) | |||||||
\(98\) | −5.24759 | + | 8.38917i | −0.530087 | + | 0.847434i | ||||
\(99\) | 0.887700 | − | 6.17409i | 0.0892173 | − | 0.620520i | ||||
\(100\) | −0.212634 | − | 9.99774i | −0.0212634 | − | 0.999774i | ||||
\(101\) | 13.3355 | + | 8.57022i | 1.32693 | + | 0.852769i | 0.995866 | − | 0.0908373i | \(-0.0289543\pi\) |
0.331069 | + | 0.943607i | \(0.392591\pi\) | |||||||
\(102\) | 0.751829 | + | 2.44932i | 0.0744422 | + | 0.242518i | ||||
\(103\) | −3.95962 | + | 10.6162i | −0.390153 | + | 1.04604i | 0.582306 | + | 0.812970i | \(0.302151\pi\) |
−0.972459 | + | 0.233072i | \(0.925122\pi\) | |||||||
\(104\) | 1.56973 | + | 14.4676i | 0.153925 | + | 1.41866i | ||||
\(105\) | 0.0724639 | + | 0.0971226i | 0.00707175 | + | 0.00947819i | ||||
\(106\) | −4.79861 | − | 12.4004i | −0.466082 | − | 1.20443i | ||||
\(107\) | −6.37312 | + | 11.6715i | −0.616113 | + | 1.12833i | 0.364283 | + | 0.931288i | \(0.381314\pi\) |
−0.980396 | + | 0.197038i | \(0.936868\pi\) | |||||||
\(108\) | 8.07696 | + | 5.74365i | 0.777205 | + | 0.552683i | ||||
\(109\) | 8.02735 | + | 6.95574i | 0.768881 | + | 0.666239i | 0.948244 | − | 0.317544i | \(-0.102858\pi\) |
−0.179363 | + | 0.983783i | \(0.557404\pi\) | |||||||
\(110\) | −3.30021 | + | 9.14397i | −0.314663 | + | 0.871843i | ||||
\(111\) | 2.38753 | − | 2.06880i | 0.226614 | − | 0.196362i | ||||
\(112\) | −0.0958638 | + | 0.198000i | −0.00905827 | + | 0.0187093i | ||||
\(113\) | 3.21285 | + | 8.61399i | 0.302240 | + | 0.810336i | 0.995936 | + | 0.0900682i | \(0.0287085\pi\) |
−0.693696 | + | 0.720268i | \(0.744019\pi\) | |||||||
\(114\) | −4.67770 | + | 6.41057i | −0.438107 | + | 0.600404i | ||||
\(115\) | 9.78484 | − | 4.38827i | 0.912441 | − | 0.409209i | ||||
\(116\) | 0.351814 | + | 1.09810i | 0.0326651 | + | 0.101956i | ||||
\(117\) | −9.78140 | + | 3.64827i | −0.904291 | + | 0.337283i | ||||
\(118\) | −0.202318 | + | 1.54064i | −0.0186249 | + | 0.141827i | ||||
\(119\) | −0.0662167 | − | 0.0764182i | −0.00607008 | − | 0.00700524i | ||||
\(120\) | −4.24380 | − | 4.56380i | −0.387404 | − | 0.416616i | ||||
\(121\) | −1.01480 | + | 1.17114i | −0.0922548 | + | 0.106468i | ||||
\(122\) | −9.69747 | + | 0.118565i | −0.877968 | + | 0.0107344i | ||||
\(123\) | 4.85988 | + | 2.65370i | 0.438201 | + | 0.239276i | ||||
\(124\) | −3.46038 | + | 12.9481i | −0.310752 | + | 1.16277i | ||||
\(125\) | −11.1555 | + | 0.744282i | −0.997782 | + | 0.0665706i | ||||
\(126\) | −0.154605 | − | 0.0316578i | −0.0137733 | − | 0.00282030i | ||||
\(127\) | 16.1242 | + | 6.01402i | 1.43079 | + | 0.533658i | 0.941068 | − | 0.338219i | \(-0.109824\pi\) |
0.489725 | + | 0.871877i | \(0.337097\pi\) | |||||||
\(128\) | 3.80302 | − | 10.6554i | 0.336143 | − | 0.941811i | ||||
\(129\) | 0.824135 | − | 1.28238i | 0.0725610 | − | 0.112907i | ||||
\(130\) | 16.0791 | − | 2.48659i | 1.41023 | − | 0.218088i | ||||
\(131\) | −18.8066 | − | 2.70398i | −1.64314 | − | 0.236248i | −0.742195 | − | 0.670185i | \(-0.766215\pi\) |
−0.900943 | + | 0.433937i | \(0.857124\pi\) | |||||||
\(132\) | 2.25532 | + | 5.62289i | 0.196300 | + | 0.489410i | ||||
\(133\) | 0.0665736 | − | 0.306034i | 0.00577266 | − | 0.0265365i | ||||
\(134\) | −0.339863 | − | 4.05462i | −0.0293597 | − | 0.350266i | ||||
\(135\) | 6.00556 | − | 9.31218i | 0.516876 | − | 0.801464i | ||||
\(136\) | 3.80953 | + | 3.53985i | 0.326665 | + | 0.303540i | ||||
\(137\) | 1.48607 | + | 1.48607i | 0.126964 | + | 0.126964i | 0.767733 | − | 0.640770i | \(-0.221385\pi\) |
−0.640770 | + | 0.767733i | \(0.721385\pi\) | |||||||
\(138\) | 2.73360 | − | 6.09846i | 0.232699 | − | 0.519136i | ||||
\(139\) | −6.72361 | −0.570289 | −0.285144 | − | 0.958485i | \(-0.592042\pi\) | ||||
−0.285144 | + | 0.958485i | \(0.592042\pi\) | |||||||
\(140\) | 0.226003 | + | 0.0970319i | 0.0191007 | + | 0.00820069i | ||||
\(141\) | 1.70705 | + | 0.501237i | 0.143760 | + | 0.0422117i | ||||
\(142\) | −7.47936 | − | 6.32248i | −0.627654 | − | 0.530570i | ||||
\(143\) | −15.4553 | − | 3.36209i | −1.29243 | − | 0.281152i | ||||
\(144\) | 8.08044 | + | 0.760962i | 0.673370 | + | 0.0634135i | ||||
\(145\) | 1.20862 | − | 0.448600i | 0.100370 | − | 0.0372542i | ||||
\(146\) | 19.2226 | + | 6.90316i | 1.59088 | + | 0.571310i | ||||
\(147\) | 6.73704 | − | 1.46555i | 0.555662 | − | 0.120877i | ||||
\(148\) | 2.09325 | − | 6.06082i | 0.172064 | − | 0.498197i | ||||
\(149\) | −6.54352 | + | 2.98833i | −0.536066 | + | 0.244813i | −0.665005 | − | 0.746839i | \(-0.731570\pi\) |
0.128938 | + | 0.991653i | \(0.458843\pi\) | |||||||
\(150\) | −4.88211 | + | 4.97118i | −0.398623 | + | 0.405895i | ||||
\(151\) | −7.72108 | + | 1.11012i | −0.628333 | + | 0.0903406i | −0.449123 | − | 0.893470i | \(-0.648263\pi\) |
−0.179210 | + | 0.983811i | \(0.557354\pi\) | |||||||
\(152\) | −1.70612 | + | 16.0166i | −0.138385 | + | 1.29911i | ||||
\(153\) | −1.78787 | + | 3.27425i | −0.144541 | + | 0.264707i | ||||
\(154\) | −0.171122 | − | 0.166988i | −0.0137894 | − | 0.0134562i | ||||
\(155\) | 14.6369 | + | 3.20850i | 1.17567 | + | 0.257713i | ||||
\(156\) | 6.45070 | − | 7.82307i | 0.516469 | − | 0.626346i | ||||
\(157\) | 1.30259 | − | 18.2126i | 0.103958 | − | 1.45353i | −0.631194 | − | 0.775625i | \(-0.717435\pi\) |
0.735152 | − | 0.677902i | \(-0.237111\pi\) | |||||||
\(158\) | 1.65307 | − | 12.5880i | 0.131511 | − | 1.00145i | ||||
\(159\) | −3.84861 | + | 8.42728i | −0.305214 | + | 0.668326i | ||||
\(160\) | −12.0936 | − | 3.70740i | −0.956083 | − | 0.293096i | ||||
\(161\) | −0.00137657 | + | 0.263751i | −0.000108489 | + | 0.0207865i | ||||
\(162\) | 0.262946 | + | 1.68254i | 0.0206590 | + | 0.132193i | ||||
\(163\) | −17.6483 | + | 6.58247i | −1.38232 | + | 0.515579i | −0.927105 | − | 0.374802i | \(-0.877711\pi\) |
−0.455216 | + | 0.890381i | \(0.650438\pi\) | |||||||
\(164\) | 11.2355 | − | 0.274780i | 0.877343 | − | 0.0214568i | ||||
\(165\) | 6.16580 | − | 2.80396i | 0.480007 | − | 0.218288i | ||||
\(166\) | −0.469090 | + | 7.91804i | −0.0364084 | + | 0.614559i | ||||
\(167\) | −1.20918 | − | 16.9066i | −0.0935693 | − | 1.30827i | −0.799791 | − | 0.600279i | \(-0.795056\pi\) |
0.706221 | − | 0.707991i | \(-0.250398\pi\) | |||||||
\(168\) | 0.145387 | − | 0.0485472i | 0.0112168 | − | 0.00374550i | ||||
\(169\) | 3.79547 | + | 12.9262i | 0.291960 | + | 0.994323i | ||||
\(170\) | 3.76050 | − | 4.43425i | 0.288417 | − | 0.340091i | ||||
\(171\) | −11.4373 | + | 1.64443i | −0.874632 | + | 0.125753i | ||||
\(172\) | 0.145204 | − | 3.09059i | 0.0110717 | − | 0.235655i | ||||
\(173\) | 21.5443 | + | 8.03562i | 1.63799 | + | 0.610937i | 0.988740 | − | 0.149642i | \(-0.0478120\pi\) |
0.649246 | + | 0.760579i | \(0.275085\pi\) | |||||||
\(174\) | 0.376391 | − | 0.709803i | 0.0285341 | − | 0.0538100i | ||||
\(175\) | 0.0969171 | − | 0.257337i | 0.00732625 | − | 0.0194529i | ||||
\(176\) | 9.67566 | + | 7.58863i | 0.729330 | + | 0.572015i | ||||
\(177\) | 0.866724 | − | 0.648822i | 0.0651470 | − | 0.0487684i | ||||
\(178\) | 2.30760 | − | 3.68909i | 0.172962 | − | 0.276509i | ||||
\(179\) | 9.73681 | − | 6.25747i | 0.727764 | − | 0.467705i | −0.123566 | − | 0.992336i | \(-0.539433\pi\) |
0.851330 | + | 0.524631i | \(0.175797\pi\) | |||||||
\(180\) | 0.440301 | − | 9.06349i | 0.0328181 | − | 0.675552i | ||||
\(181\) | −17.7738 | − | 5.21887i | −1.32112 | − | 0.387915i | −0.456222 | − | 0.889866i | \(-0.650798\pi\) |
−0.864896 | + | 0.501951i | \(0.832616\pi\) | |||||||
\(182\) | −0.108038 | + | 0.385309i | −0.00800831 | + | 0.0285610i | ||||
\(183\) | 4.77815 | + | 4.77815i | 0.353211 | + | 0.353211i | ||||
\(184\) | −1.39278 | − | 13.4930i | −0.102677 | − | 0.994715i | ||||
\(185\) | −6.87535 | − | 2.03069i | −0.505486 | − | 0.149299i | ||||
\(186\) | 8.14074 | − | 4.57526i | 0.596908 | − | 0.335474i | ||||
\(187\) | −4.96070 | + | 2.70875i | −0.362762 | + | 0.198083i | ||||
\(188\) | 3.50873 | − | 0.853630i | 0.255900 | − | 0.0622574i | ||||
\(189\) | 0.147343 | + | 0.229270i | 0.0107176 | + | 0.0166769i | ||||
\(190\) | 17.9751 | + | 1.09365i | 1.30405 | + | 0.0793415i | ||||
\(191\) | −26.2065 | − | 3.76792i | −1.89623 | − | 0.272637i | −0.907243 | − | 0.420608i | \(-0.861817\pi\) |
−0.988992 | + | 0.147970i | \(0.952726\pi\) | |||||||
\(192\) | −7.16417 | + | 3.28871i | −0.517029 | + | 0.237342i | ||||
\(193\) | 9.11612 | − | 1.98309i | 0.656193 | − | 0.142746i | 0.127872 | − | 0.991791i | \(-0.459185\pi\) |
0.528321 | + | 0.849045i | \(0.322822\pi\) | |||||||
\(194\) | −5.66743 | − | 3.00529i | −0.406898 | − | 0.215767i | ||||
\(195\) | −9.06445 | − | 6.80813i | −0.649119 | − | 0.487540i | ||||
\(196\) | 10.3487 | − | 9.41992i | 0.739193 | − | 0.672852i | ||||
\(197\) | 7.90660 | − | 10.5620i | 0.563322 | − | 0.752510i | −0.424950 | − | 0.905217i | \(-0.639708\pi\) |
0.988272 | + | 0.152707i | \(0.0487991\pi\) | |||||||
\(198\) | −3.56612 | + | 8.06831i | −0.253433 | + | 0.573390i | ||||
\(199\) | −17.6242 | + | 5.17492i | −1.24934 | + | 0.366840i | −0.838518 | − | 0.544874i | \(-0.816578\pi\) |
−0.410825 | + | 0.911714i | \(0.634759\pi\) | |||||||
\(200\) | −3.52770 | + | 13.6951i | −0.249446 | + | 0.968389i | ||||
\(201\) | −1.85654 | + | 2.14256i | −0.130950 | + | 0.151124i | ||||
\(202\) | −14.8868 | − | 16.7617i | −1.04743 | − | 1.17935i | ||||
\(203\) | −0.00226201 | + | 0.0316270i | −0.000158762 | + | 0.00221978i | ||||
\(204\) | −0.0885884 | − | 3.62228i | −0.00620243 | − | 0.253611i | ||||
\(205\) | −0.876434 | − | 12.5348i | −0.0612128 | − | 0.875468i | ||||
\(206\) | 9.44518 | − | 12.9442i | 0.658077 | − | 0.901864i | ||||
\(207\) | 9.13505 | − | 3.35299i | 0.634930 | − | 0.233049i | ||||
\(208\) | 3.38638 | − | 20.2998i | 0.234803 | − | 1.40754i | ||||
\(209\) | −15.9244 | − | 7.27245i | −1.10152 | − | 0.503046i | ||||
\(210\) | −0.0615914 | − | 0.159919i | −0.00425021 | − | 0.0110355i | ||||
\(211\) | −0.543953 | + | 0.471338i | −0.0374473 | + | 0.0324483i | −0.673383 | − | 0.739293i | \(-0.735160\pi\) |
0.635936 | + | 0.771742i | \(0.280614\pi\) | |||||||
\(212\) | 1.79964 | + | 18.7178i | 0.123600 | + | 1.28554i | ||||
\(213\) | 0.486804 | + | 6.80641i | 0.0333553 | + | 0.466368i | ||||
\(214\) | 13.1346 | − | 13.4597i | 0.897861 | − | 0.920088i | ||||
\(215\) | −3.45919 | − | 0.00551157i | −0.235915 | − | 0.000375886i | ||||
\(216\) | −8.80538 | − | 10.9050i | −0.599130 | − | 0.741990i | ||||
\(217\) | −0.220861 | + | 0.295036i | −0.0149930 | + | 0.0200283i | ||||
\(218\) | −8.27505 | − | 12.5365i | −0.560457 | − | 0.849082i | ||||
\(219\) | −5.91179 | − | 12.9450i | −0.399482 | − | 0.874743i | ||||
\(220\) | 7.98515 | − | 11.1913i | 0.538359 | − | 0.754515i | ||||
\(221\) | 7.95798 | + | 5.11428i | 0.535312 | + | 0.344024i | ||||
\(222\) | −4.04098 | + | 1.90550i | −0.271213 | + | 0.127889i | ||||
\(223\) | −10.8185 | + | 8.09859i | −0.724457 | + | 0.542322i | −0.896649 | − | 0.442741i | \(-0.854006\pi\) |
0.172192 | + | 0.985063i | \(0.444915\pi\) | |||||||
\(224\) | 0.206136 | − | 0.233014i | 0.0137730 | − | 0.0155689i | ||||
\(225\) | −10.1452 | − | 0.0323290i | −0.676346 | − | 0.00215526i | ||||
\(226\) | −1.08602 | − | 12.9564i | −0.0722408 | − | 0.861844i | ||||
\(227\) | 13.4927 | − | 7.36759i | 0.895544 | − | 0.489004i | 0.0355845 | − | 0.999367i | \(-0.488671\pi\) |
0.859959 | + | 0.510363i | \(0.170489\pi\) | |||||||
\(228\) | 8.81724 | − | 6.94325i | 0.583936 | − | 0.459828i | ||||
\(229\) | − | 0.602805i | − | 0.0398344i | −0.999802 | − | 0.0199172i | \(-0.993660\pi\) | ||
0.999802 | − | 0.0199172i | \(-0.00634027\pi\) | |||||||
\(230\) | −14.9995 | + | 2.23954i | −0.989037 | + | 0.147671i | ||||
\(231\) | 0.166594i | 0.0109611i | ||||||||
\(232\) | −0.0597968 | − | 1.62961i | −0.00392585 | − | 0.106989i | ||||
\(233\) | 19.7771 | − | 10.7991i | 1.29564 | − | 0.707475i | 0.324480 | − | 0.945892i | \(-0.394811\pi\) |
0.971163 | + | 0.238418i | \(0.0766288\pi\) | |||||||
\(234\) | 14.7123 | − | 1.23320i | 0.961771 | − | 0.0806167i | ||||
\(235\) | −1.13127 | − | 3.87557i | −0.0737957 | − | 0.252815i | ||||
\(236\) | 0.863728 | − | 2.02063i | 0.0562239 | − | 0.131532i | ||||
\(237\) | −7.08168 | + | 5.30128i | −0.460005 | + | 0.344355i | ||||
\(238\) | 0.0609898 | + | 0.129341i | 0.00395338 | + | 0.00838391i | ||||
\(239\) | 14.6413 | + | 9.40941i | 0.947069 | + | 0.608644i | 0.920391 | − | 0.391000i | \(-0.127871\pi\) |
0.0266779 | + | 0.999644i | \(0.491507\pi\) | |||||||
\(240\) | 4.03627 | + | 7.83484i | 0.260540 | + | 0.505737i | ||||
\(241\) | 0.609145 | + | 1.33384i | 0.0392385 | + | 0.0859203i | 0.928236 | − | 0.371991i | \(-0.121325\pi\) |
−0.888998 | + | 0.457912i | \(0.848598\pi\) | |||||||
\(242\) | 1.82901 | − | 1.20728i | 0.117573 | − | 0.0776070i | ||||
\(243\) | 9.62018 | − | 12.8511i | 0.617135 | − | 0.824396i | ||||
\(244\) | 13.2503 | + | 3.54115i | 0.848263 | + | 0.226699i | ||||
\(245\) | −11.0455 | − | 11.0808i | −0.705674 | − | 0.707927i | ||||
\(246\) | −5.60448 | − | 5.46909i | −0.357329 | − | 0.348696i | ||||
\(247\) | 2.09023 | + | 29.2253i | 0.132998 | + | 1.85956i | ||||
\(248\) | 9.65572 | − | 16.3102i | 0.613139 | − | 1.03570i | ||||
\(249\) | 4.17677 | − | 3.61919i | 0.264692 | − | 0.229357i | ||||
\(250\) | 15.4746 | + | 3.24582i | 0.978703 | + | 0.205284i | ||||
\(251\) | 14.8722 | + | 6.79193i | 0.938728 | + | 0.428703i | 0.825205 | − | 0.564833i | \(-0.191059\pi\) |
0.113522 | + | 0.993535i | \(0.463787\pi\) | |||||||
\(252\) | 0.198438 | + | 0.102138i | 0.0125004 | + | 0.00643410i | ||||
\(253\) | 14.3896 | + | 3.20901i | 0.904666 | + | 0.201749i | ||||
\(254\) | −19.6601 | − | 14.3457i | −1.23358 | − | 0.900128i | ||||
\(255\) | −4.04118 | + | 0.282560i | −0.253069 | + | 0.0176946i | ||||
\(256\) | −9.24690 | + | 13.0574i | −0.577932 | + | 0.816085i | ||||
\(257\) | −1.18136 | + | 16.5176i | −0.0736912 | + | 1.03034i | 0.817269 | + | 0.576256i | \(0.195487\pi\) |
−0.890960 | + | 0.454081i | \(0.849968\pi\) | |||||||
\(258\) | −1.61185 | + | 1.43155i | −0.100349 | + | 0.0891243i | ||||
\(259\) | 0.115466 | − | 0.133255i | 0.00717474 | − | 0.00828009i | ||||
\(260\) | −22.8442 | − | 2.75318i | −1.41674 | − | 0.170745i | ||||
\(261\) | 1.12244 | − | 0.329579i | 0.0694776 | − | 0.0204005i | ||||
\(262\) | 24.5765 | + | 10.8626i | 1.51834 | + | 0.671091i | ||||
\(263\) | −13.9553 | + | 18.6421i | −0.860523 | + | 1.14952i | 0.126977 | + | 0.991906i | \(0.459473\pi\) |
−0.987500 | + | 0.157618i | \(0.949618\pi\) | |||||||
\(264\) | −0.924180 | − | 8.51778i | −0.0568794 | − | 0.524233i | ||||
\(265\) | 20.8144 | − | 2.95881i | 1.27862 | − | 0.181758i | ||||
\(266\) | −0.207500 | + | 0.391307i | −0.0127227 | + | 0.0239926i | ||||
\(267\) | −2.96258 | + | 0.644469i | −0.181307 | + | 0.0394409i | ||||
\(268\) | −1.08531 | + | 5.65093i | −0.0662958 | + | 0.345186i | ||||
\(269\) | 16.2292 | + | 2.33341i | 0.989513 | + | 0.142270i | 0.618017 | − | 0.786164i | \(-0.287936\pi\) |
0.371495 | + | 0.928435i | \(0.378845\pi\) | |||||||
\(270\) | −11.7332 | + | 10.3874i | −0.714063 | + | 0.632156i | ||||
\(271\) | 9.78956 | + | 15.2328i | 0.594673 | + | 0.925330i | 0.999938 | + | 0.0111303i | \(0.00354296\pi\) |
−0.405265 | + | 0.914199i | \(0.632821\pi\) | |||||||
\(272\) | −3.83588 | − | 6.27473i | −0.232584 | − | 0.380462i | ||||
\(273\) | 0.244716 | − | 0.133625i | 0.0148109 | − | 0.00808736i | ||||
\(274\) | −1.45618 | − | 2.59098i | −0.0879710 | − | 0.156527i | ||||
\(275\) | −12.9041 | − | 8.35120i | −0.778148 | − | 0.503596i | ||||
\(276\) | −6.05079 | + | 7.26055i | −0.364215 | + | 0.437033i | ||||
\(277\) | 4.45389 | + | 4.45389i | 0.267608 | + | 0.267608i | 0.828136 | − | 0.560528i | \(-0.189402\pi\) |
−0.560528 | + | 0.828136i | \(0.689402\pi\) | |||||||
\(278\) | 9.15552 | + | 2.56715i | 0.549111 | + | 0.153967i | ||||
\(279\) | 13.0464 | + | 3.83076i | 0.781066 | + | 0.229342i | ||||
\(280\) | −0.270699 | − | 0.218418i | −0.0161774 | − | 0.0130530i | ||||
\(281\) | −9.69956 | + | 6.23353i | −0.578627 | + | 0.371861i | −0.796977 | − | 0.604009i | \(-0.793569\pi\) |
0.218350 | + | 0.975871i | \(0.429933\pi\) | |||||||
\(282\) | −2.13311 | − | 1.33430i | −0.127025 | − | 0.0794567i | ||||
\(283\) | 11.0537 | − | 8.27471i | 0.657075 | − | 0.491880i | −0.217949 | − | 0.975960i | \(-0.569937\pi\) |
0.875024 | + | 0.484080i | \(0.160846\pi\) | |||||||
\(284\) | 7.77064 | + | 11.4650i | 0.461103 | + | 0.680323i | ||||
\(285\) | −8.20177 | − | 9.49587i | −0.485831 | − | 0.562487i | ||||
\(286\) | 19.7617 | + | 10.4791i | 1.16853 | + | 0.619644i | ||||
\(287\) | 0.289563 | + | 0.108001i | 0.0170924 | + | 0.00637512i | ||||
\(288\) | −10.7126 | − | 4.12140i | −0.631244 | − | 0.242856i | ||||
\(289\) | −13.4810 | + | 1.93827i | −0.792999 | + | 0.114016i | ||||
\(290\) | −1.81705 | + | 0.149393i | −0.106701 | + | 0.00877263i | ||||
\(291\) | 1.25926 | + | 4.28863i | 0.0738189 | + | 0.251404i | ||||
\(292\) | −23.5397 | − | 16.7394i | −1.37756 | − | 0.979601i | ||||
\(293\) | −1.40202 | − | 19.6027i | −0.0819066 | − | 1.14520i | −0.857677 | − | 0.514189i | \(-0.828093\pi\) |
0.775771 | − | 0.631015i | \(-0.217361\pi\) | |||||||
\(294\) | −9.73338 | − | 0.576636i | −0.567662 | − | 0.0336301i | ||||
\(295\) | −2.30060 | − | 0.862257i | −0.133946 | − | 0.0502025i | ||||
\(296\) | −5.16446 | + | 7.45378i | −0.300178 | + | 0.433242i | ||||
\(297\) | 14.2733 | − | 5.32367i | 0.828222 | − | 0.308911i | ||||
\(298\) | 10.0513 | − | 1.57081i | 0.582255 | − | 0.0909945i | ||||
\(299\) | −6.82808 | − | 23.7114i | −0.394878 | − | 1.37127i | ||||
\(300\) | 8.54601 | − | 4.90520i | 0.493404 | − | 0.283202i | ||||
\(301\) | 0.0353434 | − | 0.0773912i | 0.00203716 | − | 0.00446075i | ||||
\(302\) | 10.9376 | + | 1.43634i | 0.629390 | + | 0.0826522i | ||||
\(303\) | −1.11432 | + | 15.5802i | −0.0640161 | + | 0.895062i | ||||
\(304\) | 8.43852 | − | 21.1583i | 0.483982 | − | 1.21351i | ||||
\(305\) | 3.28339 | − | 14.9785i | 0.188006 | − | 0.857669i | ||||
\(306\) | 3.68469 | − | 3.77590i | 0.210639 | − | 0.215854i | ||||
\(307\) | 14.9497 | − | 27.3783i | 0.853223 | − | 1.56256i | 0.0267105 | − | 0.999643i | \(-0.491497\pi\) |
0.826513 | − | 0.562918i | \(-0.190321\pi\) | |||||||
\(308\) | 0.169258 | + | 0.292723i | 0.00964437 | + | 0.0166794i | ||||
\(309\) | −11.0511 | + | 1.58891i | −0.628678 | + | 0.0903902i | ||||
\(310\) | −18.7060 | − | 9.95754i | −1.06243 | − | 0.565550i | ||||
\(311\) | 10.5975 | − | 4.83971i | 0.600928 | − | 0.274435i | −0.0916341 | − | 0.995793i | \(-0.529209\pi\) |
0.692562 | + | 0.721358i | \(0.256482\pi\) | |||||||
\(312\) | −11.7708 | + | 8.18970i | −0.666392 | + | 0.463651i | ||||
\(313\) | −3.40196 | + | 0.740051i | −0.192290 | + | 0.0418302i | −0.307679 | − | 0.951490i | \(-0.599552\pi\) |
0.115389 | + | 0.993320i | \(0.463189\pi\) | |||||||
\(314\) | −8.72753 | + | 24.3028i | −0.492523 | + | 1.37148i | ||||
\(315\) | 0.104018 | − | 0.226810i | 0.00586073 | − | 0.0127793i | ||||
\(316\) | −7.05720 | + | 16.5099i | −0.396999 | + | 0.928752i | ||||
\(317\) | −4.30490 | − | 0.936473i | −0.241787 | − | 0.0525976i | 0.0900386 | − | 0.995938i | \(-0.471301\pi\) |
−0.331826 | + | 0.943341i | \(0.607665\pi\) | |||||||
\(318\) | 8.45827 | − | 10.0060i | 0.474316 | − | 0.561106i | ||||
\(319\) | 1.70058 | + | 0.499335i | 0.0952141 | + | 0.0279574i | ||||
\(320\) | 15.0523 | + | 9.66583i | 0.841449 | + | 0.540336i | ||||
\(321\) | −13.1036 | −0.731371 | ||||||||
\(322\) | 0.102577 | − | 0.358623i | 0.00571641 | − | 0.0199853i | ||||
\(323\) | 7.40359 | + | 7.40359i | 0.411947 | + | 0.411947i | ||||
\(324\) | 0.284359 | − | 2.39151i | 0.0157977 | − | 0.132861i | ||||
\(325\) | −1.91699 | + | 25.6539i | −0.106335 | + | 1.42302i | ||||
\(326\) | 26.5449 | − | 2.22502i | 1.47019 | − | 0.123233i | ||||
\(327\) | −2.22477 | + | 10.2271i | −0.123030 | + | 0.565561i | ||||
\(328\) | −15.4042 | − | 3.91566i | −0.850556 | − | 0.216206i | ||||
\(329\) | 0.0982876 | + | 0.0141316i | 0.00541877 | + | 0.000779102i | ||||
\(330\) | −9.46653 | + | 1.46398i | −0.521115 | + | 0.0805893i | ||||
\(331\) | −3.50131 | + | 5.44815i | −0.192450 | + | 0.299457i | −0.924046 | − | 0.382280i | \(-0.875139\pi\) |
0.731597 | + | 0.681737i | \(0.238775\pi\) | |||||||
\(332\) | 3.66195 | − | 10.6029i | 0.200976 | − | 0.581908i | ||||
\(333\) | −6.09509 | − | 2.27335i | −0.334009 | − | 0.124579i | ||||
\(334\) | −4.80858 | + | 23.4833i | −0.263114 | + | 1.28495i | ||||
\(335\) | 6.36645 | + | 0.925713i | 0.347836 | + | 0.0505771i | ||||
\(336\) | −0.216508 | + | 0.0105964i | −0.0118115 | + | 0.000578082i | ||||
\(337\) | −5.43798 | − | 2.96936i | −0.296225 | − | 0.161751i | 0.324263 | − | 0.945967i | \(-0.394884\pi\) |
−0.620488 | + | 0.784216i | \(0.713066\pi\) | |||||||
\(338\) | −0.232922 | − | 19.0507i | −0.0126693 | − | 1.03622i | ||||
\(339\) | −5.93248 | + | 6.84645i | −0.322208 | + | 0.371848i | ||||
\(340\) | −6.81371 | + | 4.60230i | −0.369525 | + | 0.249595i | ||||
\(341\) | 13.4905 | + | 15.5689i | 0.730553 | + | 0.843103i | ||||
\(342\) | 16.2020 | + | 2.12766i | 0.876104 | + | 0.115051i | ||||
\(343\) | 0.721250 | − | 0.269012i | 0.0389438 | − | 0.0145253i | ||||
\(344\) | −1.37775 | + | 4.15301i | −0.0742831 | + | 0.223915i | ||||
\(345\) | 8.41591 | + | 6.38999i | 0.453097 | + | 0.344026i | ||||
\(346\) | −26.2688 | − | 19.1680i | −1.41222 | − | 1.03048i | ||||
\(347\) | 6.26195 | + | 16.7889i | 0.336159 | + | 0.901277i | 0.989541 | + | 0.144249i | \(0.0460766\pi\) |
−0.653383 | + | 0.757028i | \(0.726651\pi\) | |||||||
\(348\) | −0.783541 | + | 0.822827i | −0.0420022 | + | 0.0441082i | ||||
\(349\) | −11.9008 | + | 10.3121i | −0.637038 | + | 0.551996i | −0.912377 | − | 0.409351i | \(-0.865755\pi\) |
0.275339 | + | 0.961347i | \(0.411210\pi\) | |||||||
\(350\) | −0.230226 | + | 0.313412i | −0.0123061 | + | 0.0167526i | ||||
\(351\) | −19.2688 | − | 16.6965i | −1.02849 | − | 0.891195i | ||||
\(352\) | −10.2779 | − | 14.0277i | −0.547814 | − | 0.747679i | ||||
\(353\) | −2.79162 | + | 5.11247i | −0.148583 | + | 0.272110i | −0.941361 | − | 0.337401i | \(-0.890452\pi\) |
0.792778 | + | 0.609511i | \(0.208634\pi\) | |||||||
\(354\) | −1.42794 | + | 0.552574i | −0.0758943 | + | 0.0293690i | ||||
\(355\) | 12.4112 | − | 9.26008i | 0.658717 | − | 0.491474i | ||||
\(356\) | −4.55079 | + | 4.14236i | −0.241191 | + | 0.219545i | ||||
\(357\) | 0.0348193 | − | 0.0933542i | 0.00184283 | − | 0.00494083i | ||||
\(358\) | −15.6478 | + | 4.80316i | −0.827010 | + | 0.253855i | ||||
\(359\) | 21.1810 | + | 13.6122i | 1.11789 | + | 0.718423i | 0.962998 | − | 0.269508i | \(-0.0868612\pi\) |
0.154890 | + | 0.987932i | \(0.450498\pi\) | |||||||
\(360\) | −4.06010 | + | 12.1736i | −0.213986 | + | 0.641606i | ||||
\(361\) | −1.91131 | + | 13.2934i | −0.100595 | + | 0.699654i | ||||
\(362\) | 22.2100 | + | 13.8928i | 1.16733 | + | 0.730187i | ||||
\(363\) | −1.49208 | − | 0.324582i | −0.0783138 | − | 0.0170361i | ||||
\(364\) | 0.294230 | − | 0.483424i | 0.0154218 | − | 0.0253383i | ||||
\(365\) | −17.5028 | + | 27.1396i | −0.916136 | + | 1.42055i | ||||
\(366\) | −4.68205 | − | 8.33075i | −0.244734 | − | 0.435455i | ||||
\(367\) | −21.5130 | + | 21.5130i | −1.12297 | + | 1.12297i | −0.131676 | + | 0.991293i | \(0.542036\pi\) |
−0.991293 | + | 0.131676i | \(0.957964\pi\) | |||||||
\(368\) | −3.25522 | + | 18.9051i | −0.169690 | + | 0.985497i | ||||
\(369\) | − | 11.4021i | − | 0.593568i | ||||||
\(370\) | 8.58680 | + | 5.39027i | 0.446407 | + | 0.280227i | ||||
\(371\) | −0.145678 | + | 0.496135i | −0.00756324 | + | 0.0257580i | ||||
\(372\) | −12.8321 | + | 3.12189i | −0.665314 | + | 0.161863i | ||||
\(373\) | −2.98713 | + | 13.7316i | −0.154668 | + | 0.710996i | 0.832851 | + | 0.553497i | \(0.186707\pi\) |
−0.987519 | + | 0.157500i | \(0.949657\pi\) | |||||||
\(374\) | 7.78920 | − | 1.79444i | 0.402770 | − | 0.0927885i | ||||
\(375\) | −5.91174 | − | 9.29625i | −0.305281 | − | 0.480057i | ||||
\(376\) | −5.10375 | − | 0.177286i | −0.263206 | − | 0.00914281i | ||||
\(377\) | −0.630545 | − | 2.89857i | −0.0324747 | − | 0.149284i | ||||
\(378\) | −0.113099 | − | 0.368453i | −0.00581716 | − | 0.0189512i | ||||
\(379\) | −7.80251 | − | 17.0851i | −0.400788 | − | 0.877603i | −0.997190 | − | 0.0749171i | \(-0.976131\pi\) |
0.596402 | − | 0.802686i | \(-0.296596\pi\) | |||||||
\(380\) | −24.0591 | − | 8.35232i | −1.23421 | − | 0.428465i | ||||
\(381\) | 2.41330 | + | 16.7849i | 0.123637 | + | 0.859915i | ||||
\(382\) | 34.2467 | + | 15.1367i | 1.75221 | + | 0.774461i | ||||
\(383\) | −11.7556 | − | 6.41904i | −0.600683 | − | 0.327998i | 0.149974 | − | 0.988690i | \(-0.452081\pi\) |
−0.750657 | + | 0.660692i | \(0.770263\pi\) | |||||||
\(384\) | 11.0111 | − | 1.74287i | 0.561908 | − | 0.0889404i | ||||
\(385\) | 0.318358 | − | 0.203880i | 0.0162250 | − | 0.0103907i | ||||
\(386\) | −13.1706 | − | 0.780266i | −0.670364 | − | 0.0397145i | ||||
\(387\) | −3.13094 | − | 0.223929i | −0.159155 | − | 0.0113830i | ||||
\(388\) | 6.56987 | + | 6.25619i | 0.333534 | + | 0.317610i | ||||
\(389\) | −31.4046 | − | 14.3420i | −1.59228 | − | 0.727169i | −0.595202 | − | 0.803576i | \(-0.702928\pi\) |
−0.997077 | + | 0.0764069i | \(0.975655\pi\) | |||||||
\(390\) | 9.74362 | + | 12.7315i | 0.493387 | + | 0.644685i | ||||
\(391\) | −7.39280 | − | 4.80577i | −0.373870 | − | 0.243038i | ||||
\(392\) | −17.6884 | + | 8.87583i | −0.893401 | + | 0.448297i | ||||
\(393\) | −6.54266 | − | 17.5416i | −0.330034 | − | 0.884854i | ||||
\(394\) | −14.7991 | + | 11.3634i | −0.745567 | + | 0.572480i | ||||
\(395\) | 18.7973 | + | 7.04518i | 0.945796 | + | 0.354481i | ||||
\(396\) | 7.93654 | − | 9.62502i | 0.398826 | − | 0.483675i | ||||
\(397\) | 27.3285 | − | 1.95457i | 1.37158 | − | 0.0980971i | 0.633985 | − | 0.773345i | \(-0.281418\pi\) |
0.737591 | + | 0.675248i | \(0.235963\pi\) | |||||||
\(398\) | 25.9746 | − | 0.317577i | 1.30199 | − | 0.0159187i | ||||
\(399\) | 0.296108 | − | 0.0869452i | 0.0148240 | − | 0.00435270i | ||||
\(400\) | 10.0326 | − | 17.3016i | 0.501630 | − | 0.865082i | ||||
\(401\) | −3.04664 | − | 21.1899i | −0.152142 | − | 1.05817i | −0.912620 | − | 0.408808i | \(-0.865944\pi\) |
0.760478 | − | 0.649363i | \(-0.224965\pi\) | |||||||
\(402\) | 3.34609 | − | 2.20867i | 0.166888 | − | 0.110158i | ||||
\(403\) | 12.0490 | − | 32.3046i | 0.600204 | − | 1.60921i | ||||
\(404\) | 13.8714 | + | 28.5083i | 0.690130 | + | 1.41834i | ||||
\(405\) | −2.68545 | − | 0.196368i | −0.133441 | − | 0.00975762i | ||||
\(406\) | 0.0151557 | − | 0.0422028i | 0.000752166 | − | 0.00209449i | ||||
\(407\) | −5.90641 | − | 7.89004i | −0.292770 | − | 0.391095i | ||||
\(408\) | −1.26240 | + | 4.96628i | −0.0624980 | + | 0.245867i | ||||
\(409\) | 21.3122 | + | 33.1624i | 1.05382 | + | 1.63978i | 0.715300 | + | 0.698817i | \(0.246290\pi\) |
0.338520 | + | 0.940959i | \(0.390074\pi\) | |||||||
\(410\) | −3.59248 | + | 17.4032i | −0.177420 | + | 0.859484i | ||||
\(411\) | −0.583432 | + | 1.98699i | −0.0287786 | + | 0.0980108i | ||||
\(412\) | −17.8037 | + | 14.0198i | −0.877126 | + | 0.690705i | ||||
\(413\) | 0.0427286 | − | 0.0427286i | 0.00210254 | − | 0.00210254i | ||||
\(414\) | −13.7194 | + | 1.07790i | −0.674271 | + | 0.0529759i | ||||
\(415\) | −12.0278 | − | 3.55251i | −0.590422 | − | 0.174386i | ||||
\(416\) | −12.3619 | + | 26.3493i | −0.606093 | + | 1.29188i | ||||
\(417\) | −3.17514 | − | 5.81483i | −0.155487 | − | 0.284753i | ||||
\(418\) | 18.9076 | + | 15.9830i | 0.924799 | + | 0.781754i | ||||
\(419\) | 30.6828 | − | 19.7186i | 1.49895 | − | 0.963319i | 0.503923 | − | 0.863749i | \(-0.331890\pi\) |
0.995031 | − | 0.0995703i | \(-0.0317468\pi\) | |||||||
\(420\) | 0.0228100 | + | 0.241278i | 0.00111301 | + | 0.0117731i | ||||
\(421\) | 1.47388 | − | 10.2510i | 0.0718324 | − | 0.499605i | −0.921865 | − | 0.387511i | \(-0.873335\pi\) |
0.993698 | − | 0.112095i | \(-0.0357560\pi\) | |||||||
\(422\) | 0.920662 | − | 0.434133i | 0.0448171 | − | 0.0211333i | ||||
\(423\) | −0.778738 | − | 3.57980i | −0.0378635 | − | 0.174056i | ||||
\(424\) | 4.69609 | − | 26.1751i | 0.228062 | − | 1.27117i | ||||
\(425\) | 5.48563 | + | 7.37683i | 0.266092 | + | 0.357829i | ||||
\(426\) | 1.93588 | − | 9.45414i | 0.0937939 | − | 0.458055i | ||||
\(427\) | 0.301922 | + | 0.226016i | 0.0146110 | + | 0.0109377i | ||||
\(428\) | −23.0244 | + | 13.3132i | −1.11293 | + | 0.643516i | ||||
\(429\) | −4.39089 | − | 14.9540i | −0.211994 | − | 0.721986i | ||||
\(430\) | 4.70827 | + | 1.32826i | 0.227053 | + | 0.0640545i | ||||
\(431\) | −2.07661 | − | 1.79940i | −0.100027 | − | 0.0866738i | 0.603412 | − | 0.797430i | \(-0.293808\pi\) |
−0.703439 | + | 0.710756i | \(0.748353\pi\) | |||||||
\(432\) | 7.82663 | + | 18.2113i | 0.376559 | + | 0.876190i | ||||
\(433\) | 14.4104 | + | 1.03065i | 0.692518 | + | 0.0495299i | 0.413162 | − | 0.910658i | \(-0.364424\pi\) |
0.279356 | + | 0.960187i | \(0.409879\pi\) | |||||||
\(434\) | 0.413394 | − | 0.317422i | 0.0198435 | − | 0.0152368i | ||||
\(435\) | 0.958721 | + | 0.833415i | 0.0459672 | + | 0.0399592i | ||||
\(436\) | 6.48152 | + | 20.2305i | 0.310408 | + | 0.968865i | ||||
\(437\) | −1.80614 | − | 27.2512i | −0.0863996 | − | 1.30360i | ||||
\(438\) | 3.10752 | + | 19.8844i | 0.148483 | + | 0.950112i | ||||
\(439\) | −13.6178 | + | 29.8187i | −0.649940 | + | 1.42317i | 0.241666 | + | 0.970360i | \(0.422306\pi\) |
−0.891606 | + | 0.452811i | \(0.850421\pi\) | |||||||
\(440\) | −15.1463 | + | 12.1903i | −0.722072 | + | 0.581150i | ||||
\(441\) | −9.29719 | − | 10.7295i | −0.442723 | − | 0.510930i | ||||
\(442\) | −8.88367 | − | 10.0026i | −0.422553 | − | 0.475773i | ||||
\(443\) | 29.7351 | − | 2.12670i | 1.41276 | − | 0.101042i | 0.656012 | − | 0.754751i | \(-0.272242\pi\) |
0.756747 | + | 0.653708i | \(0.226788\pi\) | |||||||
\(444\) | 6.23014 | − | 1.05182i | 0.295669 | − | 0.0499174i | ||||
\(445\) | 4.85722 | + | 4.87272i | 0.230254 | + | 0.230989i | ||||
\(446\) | 17.8236 | − | 6.89723i | 0.843972 | − | 0.326593i | ||||
\(447\) | −5.67451 | − | 4.24789i | −0.268395 | − | 0.200918i | ||||
\(448\) | −0.369662 | + | 0.238590i | −0.0174649 | + | 0.0112723i | ||||
\(449\) | 6.22810 | − | 2.84428i | 0.293922 | − | 0.134230i | −0.262997 | − | 0.964797i | \(-0.584711\pi\) |
0.556919 | + | 0.830567i | \(0.311984\pi\) | |||||||
\(450\) | 13.8023 | + | 3.91757i | 0.650648 | + | 0.184676i | ||||
\(451\) | 9.33951 | − | 14.5326i | 0.439780 | − | 0.684311i | ||||
\(452\) | −3.46805 | + | 18.0573i | −0.163124 | + | 0.849344i | ||||
\(453\) | −4.60626 | − | 6.15324i | −0.216421 | − | 0.289105i | ||||
\(454\) | −21.1860 | + | 4.88075i | −0.994310 | + | 0.229065i | ||||
\(455\) | −0.554843 | − | 0.304116i | −0.0260114 | − | 0.0142572i | ||||
\(456\) | −14.6574 | + | 6.08810i | −0.686397 | + | 0.285101i | ||||
\(457\) | 0.459442 | + | 0.841405i | 0.0214918 | + | 0.0393593i | 0.888204 | − | 0.459449i | \(-0.151953\pi\) |
−0.866712 | + | 0.498808i | \(0.833771\pi\) | |||||||
\(458\) | −0.230157 | + | 0.820838i | −0.0107546 | + | 0.0383552i | ||||
\(459\) | −9.11104 | −0.425267 | ||||||||
\(460\) | 21.2798 | + | 2.67739i | 0.992178 | + | 0.124834i | ||||
\(461\) | −27.4252 | −1.27732 | −0.638660 | − | 0.769489i | \(-0.720511\pi\) | ||||
−0.638660 | + | 0.769489i | \(0.720511\pi\) | |||||||
\(462\) | 0.0636073 | − | 0.226850i | 0.00295928 | − | 0.0105540i | ||||
\(463\) | −2.04323 | − | 3.74189i | −0.0949568 | − | 0.173900i | 0.825883 | − | 0.563842i | \(-0.190677\pi\) |
−0.920840 | + | 0.389941i | \(0.872495\pi\) | |||||||
\(464\) | −0.540778 | + | 2.24187i | −0.0251050 | + | 0.104076i | ||||
\(465\) | 4.13726 | + | 14.1737i | 0.191861 | + | 0.657291i | ||||
\(466\) | −31.0537 | + | 7.15402i | −1.43853 | + | 0.331404i | ||||
\(467\) | −9.86638 | − | 13.1799i | −0.456562 | − | 0.609895i | 0.511904 | − | 0.859043i | \(-0.328940\pi\) |
−0.968465 | + | 0.249148i | \(0.919849\pi\) | |||||||
\(468\) | −20.5045 | − | 3.93806i | −0.947821 | − | 0.182037i | ||||
\(469\) | −0.0855460 | + | 0.133112i | −0.00395015 | + | 0.00614655i | ||||
\(470\) | 0.0607064 | + | 5.70929i | 0.00280018 | + | 0.263350i | ||||
\(471\) | 16.3661 | − | 7.47415i | 0.754111 | − | 0.344391i | ||||
\(472\) | −1.94764 | + | 2.42171i | −0.0896473 | + | 0.111468i | ||||
\(473\) | −3.80713 | − | 2.84998i | −0.175052 | − | 0.131042i | ||||
\(474\) | 11.6672 | − | 4.51487i | 0.535892 | − | 0.207375i | ||||
\(475\) | −8.10899 | + | 27.2946i | −0.372066 | + | 1.25236i | ||||
\(476\) | −0.0336660 | − | 0.199409i | −0.00154308 | − | 0.00913992i | ||||
\(477\) | 19.0286 | − | 1.36095i | 0.871260 | − | 0.0623137i | ||||
\(478\) | −16.3444 | − | 18.4030i | −0.747577 | − | 0.841733i | ||||
\(479\) | −15.8123 | − | 18.2484i | −0.722482 | − | 0.833789i | 0.269121 | − | 0.963106i | \(-0.413267\pi\) |
−0.991603 | + | 0.129318i | \(0.958721\pi\) | |||||||
\(480\) | −2.50475 | − | 12.2098i | −0.114325 | − | 0.557298i | ||||
\(481\) | −6.85246 | + | 15.0048i | −0.312445 | + | 0.684160i | ||||
\(482\) | −0.320196 | − | 2.04887i | −0.0145845 | − | 0.0933234i | ||||
\(483\) | −0.228752 | + | 0.123362i | −0.0104086 | + | 0.00561318i | ||||
\(484\) | −2.95151 | + | 0.945616i | −0.134160 | + | 0.0429826i | ||||
\(485\) | 6.65440 | − | 7.65491i | 0.302161 | − | 0.347592i | ||||
\(486\) | −18.0065 | + | 13.8262i | −0.816789 | + | 0.627168i | ||||
\(487\) | 26.9261 | + | 1.92579i | 1.22014 | + | 0.0872659i | 0.666508 | − | 0.745498i | \(-0.267788\pi\) |
0.553629 | + | 0.832764i | \(0.313243\pi\) | |||||||
\(488\) | −16.6908 | − | 9.88108i | −0.755559 | − | 0.447296i | ||||
\(489\) | −14.0270 | − | 12.1544i | −0.634321 | − | 0.549642i | ||||
\(490\) | 10.8099 | + | 19.3060i | 0.488343 | + | 0.872157i | ||||
\(491\) | 5.74029 | + | 19.5496i | 0.259056 | + | 0.882263i | 0.981602 | + | 0.190940i | \(0.0611536\pi\) |
−0.722546 | + | 0.691323i | \(0.757028\pi\) | |||||||
\(492\) | 5.54345 | + | 9.58710i | 0.249918 | + | 0.432220i | ||||
\(493\) | −0.848590 | − | 0.635247i | −0.0382186 | − | 0.0286101i | ||||
\(494\) | 8.31228 | − | 40.5941i | 0.373987 | − | 1.82641i | ||||
\(495\) | −11.1523 | − | 8.37630i | −0.501261 | − | 0.376487i | ||||
\(496\) | −19.3756 | + | 18.5228i | −0.869989 | + | 0.831700i | ||||
\(497\) | 0.0809571 | + | 0.372154i | 0.00363142 | + | 0.0166934i | ||||
\(498\) | −7.06934 | + | 3.33351i | −0.316785 | + | 0.149378i | ||||
\(499\) | 0.0468070 | − | 0.325550i | 0.00209537 | − | 0.0145736i | −0.988747 | − | 0.149598i | \(-0.952202\pi\) |
0.990842 | + | 0.135024i | \(0.0431112\pi\) | |||||||
\(500\) | −19.8325 | − | 10.3282i | −0.886936 | − | 0.461892i | ||||
\(501\) | 14.0504 | − | 9.02966i | 0.627727 | − | 0.403416i | ||||
\(502\) | −17.6583 | − | 14.9269i | −0.788127 | − | 0.666222i | ||||
\(503\) | 6.39982 | + | 11.7204i | 0.285354 | + | 0.522587i | 0.980559 | − | 0.196225i | \(-0.0628682\pi\) |
−0.695205 | + | 0.718812i | \(0.744686\pi\) | |||||||
\(504\) | −0.231215 | − | 0.214847i | −0.0102991 | − | 0.00957005i | ||||
\(505\) | 31.1373 | − | 16.9379i | 1.38559 | − | 0.753727i | ||||
\(506\) | −18.3690 | − | 9.86381i | −0.816603 | − | 0.438500i | ||||
\(507\) | −9.38670 | + | 9.38670i | −0.416878 | + | 0.416878i | ||||
\(508\) | 21.2938 | + | 27.0409i | 0.944758 | + | 1.19975i | ||||
\(509\) | −1.87552 | + | 6.38743i | −0.0831308 | + | 0.283118i | −0.990559 | − | 0.137091i | \(-0.956225\pi\) |
0.907428 | + | 0.420208i | \(0.138043\pi\) | |||||||
\(510\) | 5.61075 | + | 1.15821i | 0.248448 | + | 0.0512862i | ||||
\(511\) | −0.429420 | − | 0.668190i | −0.0189964 | − | 0.0295590i | ||||
\(512\) | 17.5769 | − | 14.2496i | 0.776798 | − | 0.629750i | ||||
\(513\) | −16.9117 | − | 22.5914i | −0.746670 | − | 0.997434i | ||||
\(514\) | 7.91525 | − | 22.0409i | 0.349127 | − | 0.972181i | ||||
\(515\) | 16.5610 | + | 19.1740i | 0.729763 | + | 0.844908i | ||||
\(516\) | 2.74143 | − | 1.33391i | 0.120685 | − | 0.0587223i | ||||
\(517\) | 1.93969 | − | 5.20052i | 0.0853077 | − | 0.228719i | ||||
\(518\) | −0.208109 | + | 0.137367i | −0.00914378 | + | 0.00603557i | ||||
\(519\) | 3.22453 | + | 22.4271i | 0.141541 | + | 0.984440i | ||||
\(520\) | 30.0557 | + | 12.4712i | 1.31803 | + | 0.546897i | ||||
\(521\) | 5.78813 | − | 1.69955i | 0.253582 | − | 0.0744585i | −0.152471 | − | 0.988308i | \(-0.548723\pi\) |
0.406053 | + | 0.913849i | \(0.366905\pi\) | |||||||
\(522\) | −1.65427 | + | 0.0202258i | −0.0724053 | + | 0.000885259i | ||||
\(523\) | 8.82317 | − | 0.631046i | 0.385810 | − | 0.0275937i | 0.122913 | − | 0.992417i | \(-0.460776\pi\) |
0.262897 | + | 0.964824i | \(0.415322\pi\) | |||||||
\(524\) | −29.3183 | − | 24.1751i | −1.28077 | − | 1.05609i | ||||
\(525\) | 0.268323 | − | 0.0377067i | 0.0117106 | − | 0.00164566i | ||||
\(526\) | 26.1207 | − | 20.0567i | 1.13892 | − | 0.874512i | ||||
\(527\) | −4.30568 | − | 11.5440i | −0.187558 | − | 0.502863i | ||||
\(528\) | −1.99373 | + | 11.9515i | −0.0867660 | + | 0.520123i | ||||
\(529\) | 6.24914 | + | 22.1348i | 0.271702 | + | 0.962381i | ||||
\(530\) | −29.4726 | − | 3.91815i | −1.28021 | − | 0.170193i | ||||
\(531\) | −2.02794 | − | 0.926131i | −0.0880053 | − | 0.0401907i | ||||
\(532\) | 0.431958 | − | 0.453616i | 0.0187277 | − | 0.0196667i | ||||
\(533\) | −28.8387 | − | 2.06258i | −1.24914 | − | 0.0893405i | ||||
\(534\) | 4.28020 | + | 0.253573i | 0.185222 | + | 0.0109732i | ||||
\(535\) | 16.0364 | + | 25.0407i | 0.693313 | + | 1.08260i | ||||
\(536\) | 3.63545 | − | 7.28048i | 0.157028 | − | 0.314469i | ||||
\(537\) | 10.0098 | + | 5.46575i | 0.431954 | + | 0.235865i | ||||
\(538\) | −21.2084 | − | 9.37389i | −0.914357 | − | 0.404137i | ||||
\(539\) | −3.06115 | − | 21.2908i | −0.131853 | − | 0.917058i | ||||
\(540\) | 19.9431 | − | 9.66458i | 0.858216 | − | 0.415897i | ||||
\(541\) | −9.92990 | − | 21.7434i | −0.426920 | − | 0.934824i | −0.993816 | − | 0.111035i | \(-0.964583\pi\) |
0.566897 | − | 0.823789i | \(-0.308144\pi\) | |||||||
\(542\) | −7.51435 | − | 24.4803i | −0.322769 | − | 1.05152i | ||||
\(543\) | −3.87999 | − | 17.8360i | −0.166506 | − | 0.765417i | ||||
\(544\) | 2.82754 | + | 10.0089i | 0.121230 | + | 0.429127i | ||||
\(545\) | 22.2666 | − | 8.26461i | 0.953794 | − | 0.354017i | ||||
\(546\) | −0.384249 | + | 0.0885217i | −0.0164443 | + | 0.00378838i | ||||
\(547\) | 0.0885878 | − | 0.407231i | 0.00378774 | − | 0.0174120i | −0.975214 | − | 0.221263i | \(-0.928982\pi\) |
0.979002 | + | 0.203851i | \(0.0653458\pi\) | |||||||
\(548\) | 0.993613 | + | 4.08411i | 0.0424451 | + | 0.174465i | ||||
\(549\) | 3.92017 | − | 13.3509i | 0.167309 | − | 0.569802i | ||||
\(550\) | 14.3829 | + | 16.2987i | 0.613290 | + | 0.694981i | ||||
\(551\) | − | 3.28326i | − | 0.139872i | ||||||
\(552\) | 11.0115 | − | 7.57641i | 0.468681 | − | 0.322473i | ||||
\(553\) | −0.349119 | + | 0.349119i | −0.0148461 | + | 0.0148461i | ||||
\(554\) | −4.36430 | − | 7.76539i | −0.185421 | − | 0.329920i | ||||
\(555\) | −1.49058 | − | 6.90503i | −0.0632715 | − | 0.293102i | ||||
\(556\) | −11.4869 | − | 6.99136i | −0.487152 | − | 0.296500i | ||||
\(557\) | 17.1200 | + | 3.72423i | 0.725398 | + | 0.157801i | 0.560079 | − | 0.828439i | \(-0.310771\pi\) |
0.165320 | + | 0.986240i | \(0.447134\pi\) | |||||||
\(558\) | −16.3026 | − | 10.1976i | −0.690144 | − | 0.431698i | ||||
\(559\) | −1.13275 | + | 7.87843i | −0.0479101 | + | 0.333222i | ||||
\(560\) | 0.285216 | + | 0.400776i | 0.0120526 | + | 0.0169359i | ||||
\(561\) | −4.68525 | − | 3.01103i | −0.197812 | − | 0.127126i | ||||
\(562\) | 15.5879 | − | 4.78478i | 0.657536 | − | 0.201834i | ||||
\(563\) | 5.58797 | − | 14.9819i | 0.235505 | − | 0.631413i | −0.764406 | − | 0.644735i | \(-0.776968\pi\) |
0.999911 | + | 0.0133216i | \(0.00424051\pi\) | |||||||
\(564\) | 2.39520 | + | 2.63137i | 0.100856 | + | 0.110801i | ||||
\(565\) | 20.3437 | + | 2.95807i | 0.855866 | + | 0.124447i | ||||
\(566\) | −18.2112 | + | 7.04722i | −0.765473 | + | 0.296217i | ||||
\(567\) | 0.0317385 | − | 0.0581248i | 0.00133289 | − | 0.00244101i | ||||
\(568\) | −6.20379 | − | 18.5788i | −0.260305 | − | 0.779549i | ||||
\(569\) | −20.4737 | − | 17.7406i | −0.858303 | − | 0.743724i | 0.109886 | − | 0.993944i | \(-0.464952\pi\) |
−0.968189 | + | 0.250220i | \(0.919497\pi\) | |||||||
\(570\) | 7.54270 | + | 16.0620i | 0.315929 | + | 0.672764i | ||||
\(571\) | −25.6215 | + | 22.2012i | −1.07223 | + | 0.929090i | −0.997677 | − | 0.0681277i | \(-0.978297\pi\) |
−0.0745499 | + | 0.997217i | \(0.523752\pi\) | |||||||
\(572\) | −22.9084 | − | 21.8147i | −0.957850 | − | 0.912117i | ||||
\(573\) | −9.11703 | − | 24.4437i | −0.380870 | − | 1.02115i | ||||
\(574\) | −0.353061 | − | 0.257623i | −0.0147365 | − | 0.0107530i | ||||
\(575\) | 1.91164 | − | 23.9028i | 0.0797209 | − | 0.996817i | ||||
\(576\) | 13.0137 | + | 9.70228i | 0.542237 | + | 0.404262i | ||||
\(577\) | −6.81145 | + | 2.54054i | −0.283564 | + | 0.105764i | −0.487222 | − | 0.873278i | \(-0.661990\pi\) |
0.203658 | + | 0.979042i | \(0.434717\pi\) | |||||||
\(578\) | 19.0971 | + | 2.50785i | 0.794334 | + | 0.104313i | ||||
\(579\) | 6.02002 | + | 6.94748i | 0.250184 | + | 0.288727i | ||||
\(580\) | 2.53132 | + | 0.490344i | 0.105107 | + | 0.0203604i | ||||
\(581\) | 0.201998 | − | 0.233119i | 0.00838030 | − | 0.00967139i | ||||
\(582\) | −0.0772786 | − | 6.32062i | −0.00320330 | − | 0.261998i | ||||
\(583\) | 25.3678 | + | 13.8518i | 1.05063 | + | 0.573685i | ||||
\(584\) | 25.6626 | + | 31.7817i | 1.06193 | + | 1.31514i | ||||
\(585\) | −3.35897 | + | 23.1008i | −0.138876 | + | 0.955100i | ||||
\(586\) | −5.57542 | + | 27.2283i | −0.230318 | + | 1.12479i | ||||
\(587\) | 6.39612 | + | 2.38563i | 0.263996 | + | 0.0984655i | 0.477977 | − | 0.878372i | \(-0.341370\pi\) |
−0.213981 | + | 0.976838i | \(0.568643\pi\) | |||||||
\(588\) | 13.0337 | + | 4.50152i | 0.537503 | + | 0.185639i | ||||
\(589\) | 20.6319 | − | 32.1038i | 0.850122 | − | 1.32282i | ||||
\(590\) | 2.80350 | + | 2.05253i | 0.115418 | + | 0.0845012i | ||||
\(591\) | 12.8682 | + | 1.85017i | 0.529327 | + | 0.0761057i | ||||
\(592\) | 9.87837 | − | 8.17795i | 0.405999 | − | 0.336112i | ||||
\(593\) | −7.33138 | + | 33.7018i | −0.301064 | + | 1.38397i | 0.539377 | + | 0.842064i | \(0.318660\pi\) |
−0.840441 | + | 0.541903i | \(0.817704\pi\) | |||||||
\(594\) | −21.4686 | + | 1.79952i | −0.880867 | + | 0.0738353i | ||||
\(595\) | −0.221011 | + | 0.0477093i | −0.00906056 | + | 0.00195589i | ||||
\(596\) | −14.2866 | − | 1.69872i | −0.585200 | − | 0.0695824i | ||||
\(597\) | −12.7983 | − | 12.7983i | −0.523798 | − | 0.523798i | ||||
\(598\) | 0.244500 | + | 34.8948i | 0.00999836 | + | 1.42695i | ||||
\(599\) | −6.45374 | −0.263693 | −0.131846 | − | 0.991270i | \(-0.542091\pi\) | ||||
−0.131846 | + | 0.991270i | \(0.542091\pi\) | |||||||
\(600\) | −13.5099 | + | 3.41644i | −0.551541 | + | 0.139475i | ||||
\(601\) | −10.0826 | − | 2.96053i | −0.411280 | − | 0.120763i | 0.0695462 | − | 0.997579i | \(-0.477845\pi\) |
−0.480826 | + | 0.876816i | \(0.659663\pi\) | |||||||
\(602\) | −0.0776758 | + | 0.0918889i | −0.00316583 | + | 0.00374511i | ||||
\(603\) | 5.70437 | + | 1.24091i | 0.232300 | + | 0.0505338i | ||||
\(604\) | −14.3453 | − | 6.13198i | −0.583704 | − | 0.249507i | ||||
\(605\) | 1.20576 | + | 3.24856i | 0.0490211 | + | 0.132073i | ||||
\(606\) | 7.46608 | − | 20.7901i | 0.303289 | − | 0.844541i | ||||
\(607\) | 8.85715 | − | 1.92676i | 0.359501 | − | 0.0782046i | −0.0291875 | − | 0.999574i | \(-0.509292\pi\) |
0.388688 | + | 0.921369i | \(0.372928\pi\) | |||||||
\(608\) | −19.5692 | + | 25.5893i | −0.793635 | + | 1.03778i | ||||
\(609\) | −0.0284205 | + | 0.0129792i | −0.00115165 | + | 0.000525943i | ||||
\(610\) | −10.1900 | + | 19.1426i | −0.412579 | + | 0.775062i | ||||
\(611\) | −9.19509 | + | 1.32205i | −0.371994 | + | 0.0534846i | ||||
\(612\) | −6.45911 | + | 3.73478i | −0.261094 | + | 0.150970i | ||||
\(613\) | 11.9125 | − | 21.8161i | 0.481141 | − | 0.881145i | −0.518518 | − | 0.855066i | \(-0.673516\pi\) |
0.999660 | − | 0.0260783i | \(-0.00830193\pi\) | |||||||
\(614\) | −30.8103 | + | 31.5730i | −1.24340 | + | 1.27418i | ||||
\(615\) | 10.4267 | − | 6.67737i | 0.420444 | − | 0.269257i | ||||
\(616\) | −0.118713 | − | 0.463224i | −0.00478310 | − | 0.0186638i | ||||
\(617\) | 0.769110 | − | 10.7536i | 0.0309632 | − | 0.432922i | −0.958200 | − | 0.286100i | \(-0.907641\pi\) |
0.989163 | − | 0.146822i | \(-0.0469045\pi\) | |||||||
\(618\) | 15.6550 | + | 2.05583i | 0.629736 | + | 0.0826975i | ||||
\(619\) | 0.172579 | − | 0.377896i | 0.00693655 | − | 0.0151889i | −0.906132 | − | 0.422995i | \(-0.860979\pi\) |
0.913069 | + | 0.407806i | \(0.133706\pi\) | |||||||
\(620\) | 21.6700 | + | 20.7013i | 0.870289 | + | 0.831385i | ||||
\(621\) | 17.8794 | + | 15.6567i | 0.717474 | + | 0.628281i | ||||
\(622\) | −16.2784 | + | 2.54398i | −0.652705 | + | 0.102004i | ||||
\(623\) | −0.158549 | + | 0.0591356i | −0.00635211 | + | 0.00236922i | ||||
\(624\) | 19.1552 | − | 6.65766i | 0.766823 | − | 0.266520i | ||||
\(625\) | −10.5301 | + | 22.6742i | −0.421204 | + | 0.906966i | ||||
\(626\) | 4.91500 | + | 0.291180i | 0.196443 | + | 0.0116379i | ||||
\(627\) | −1.23062 | − | 17.2064i | −0.0491464 | − | 0.687156i | ||||
\(628\) | 21.1633 | − | 29.7607i | 0.844508 | − | 1.18758i | ||||
\(629\) | 1.66070 | + | 5.65583i | 0.0662166 | + | 0.225513i | ||||
\(630\) | −0.228239 | + | 0.269131i | −0.00909326 | + | 0.0107224i | ||||
\(631\) | 35.5925 | − | 5.11743i | 1.41691 | − | 0.203721i | 0.609069 | − | 0.793117i | \(-0.291543\pi\) |
0.807845 | + | 0.589395i | \(0.200634\pi\) | |||||||
\(632\) | 15.9134 | − | 19.7869i | 0.633002 | − | 0.787081i | ||||
\(633\) | −0.664506 | − | 0.247848i | −0.0264118 | − | 0.00985108i | ||||
\(634\) | 5.50441 | + | 2.91885i | 0.218608 | + | 0.115922i | ||||
\(635\) | 29.1222 | − | 25.1534i | 1.15568 | − | 0.998182i | ||||
\(636\) | −15.3380 | + | 10.3956i | −0.608191 | + | 0.412214i | ||||
\(637\) | −28.8195 | + | 21.5740i | −1.14187 | + | 0.854794i | ||||
\(638\) | −2.12502 | − | 1.32924i | −0.0841304 | − | 0.0526252i | ||||
\(639\) | 11.8208 | − | 7.59676i | 0.467623 | − | 0.300523i | ||||
\(640\) | −16.8062 | − | 18.9091i | −0.664322 | − | 0.747447i | ||||
\(641\) | 32.6550 | + | 9.58839i | 1.28980 | + | 0.378719i | 0.853504 | − | 0.521086i | \(-0.174473\pi\) |
0.436293 | + | 0.899805i | \(0.356291\pi\) | |||||||
\(642\) | 17.8431 | + | 5.00309i | 0.704212 | + | 0.197456i | ||||
\(643\) | 2.42506 | + | 2.42506i | 0.0956351 | + | 0.0956351i | 0.753306 | − | 0.657671i | \(-0.228458\pi\) |
−0.657671 | + | 0.753306i | \(0.728458\pi\) | |||||||
\(644\) | −0.276606 | + | 0.449171i | −0.0108998 | + | 0.0176998i | ||||
\(645\) | −1.62879 | − | 2.99424i | −0.0641337 | − | 0.117898i | ||||
\(646\) | −7.25468 | − | 12.9082i | −0.285432 | − | 0.507867i | ||||
\(647\) | 2.13648 | − | 1.16661i | 0.0839938 | − | 0.0458641i | −0.436703 | − | 0.899606i | \(-0.643854\pi\) |
0.520697 | + | 0.853742i | \(0.325672\pi\) | |||||||
\(648\) | −1.30031 | + | 3.14794i | −0.0510812 | + | 0.123663i | ||||
\(649\) | −1.82613 | − | 2.84151i | −0.0716818 | − | 0.111539i | ||||
\(650\) | 12.4053 | − | 34.2009i | 0.486576 | − | 1.34147i | ||||
\(651\) | −0.359457 | − | 0.0516821i | −0.0140882 | − | 0.00202558i | ||||
\(652\) | −36.9957 | − | 7.10533i | −1.44886 | − | 0.278266i | ||||
\(653\) | −2.78420 | + | 0.605665i | −0.108954 | + | 0.0237015i | −0.266712 | − | 0.963776i | \(-0.585937\pi\) |
0.157758 | + | 0.987478i | \(0.449574\pi\) | |||||||
\(654\) | 6.93429 | − | 13.0768i | 0.271152 | − | 0.511343i | ||||
\(655\) | −25.5146 | + | 33.9706i | −0.996938 | + | 1.32734i | ||||
\(656\) | 19.4809 | + | 11.2134i | 0.760600 | + | 0.437812i | ||||
\(657\) | −17.5614 | + | 23.4592i | −0.685134 | + | 0.915231i | ||||
\(658\) | −0.128442 | − | 0.0567703i | −0.00500721 | − | 0.00221314i | ||||
\(659\) | −47.6956 | + | 14.0047i | −1.85796 | + | 0.545546i | −0.858493 | + | 0.512824i | \(0.828599\pi\) |
−0.999465 | + | 0.0327212i | \(0.989583\pi\) | |||||||
\(660\) | 13.4495 | + | 1.62093i | 0.523522 | + | 0.0630947i | ||||
\(661\) | −25.3149 | + | 29.2150i | −0.984636 | + | 1.13633i | 0.00602475 | + | 0.999982i | \(0.498082\pi\) |
−0.990661 | + | 0.136349i | \(0.956463\pi\) | |||||||
\(662\) | 6.84789 | − | 6.08189i | 0.266151 | − | 0.236379i | ||||
\(663\) | −0.664971 | + | 9.29752i | −0.0258254 | + | 0.361086i | ||||
\(664\) | −9.03477 | + | 13.0397i | −0.350617 | + | 0.506040i | ||||
\(665\) | −0.528533 | − | 0.459453i | −0.0204956 | − | 0.0178168i | ||||
\(666\) | 7.43168 | + | 5.42279i | 0.287972 | + | 0.210129i | ||||
\(667\) | 0.573633 | + | 2.70484i | 0.0222112 | + | 0.104732i | ||||
\(668\) | 15.5140 | − | 30.1412i | 0.600256 | − | 1.16620i | ||||
\(669\) | −12.1128 | − | 5.53175i | −0.468310 | − | 0.213870i | ||||
\(670\) | −8.31574 | − | 3.69132i | −0.321265 | − | 0.142608i | ||||
\(671\) | 15.9323 | − | 13.8054i | 0.615059 | − | 0.532951i | ||||
\(672\) | 0.298865 | + | 0.0682362i | 0.0115290 | + | 0.00263227i | ||||
\(673\) | −1.34673 | − | 18.8298i | −0.0519128 | − | 0.725836i | −0.955043 | − | 0.296468i | \(-0.904191\pi\) |
0.903130 | − | 0.429368i | \(-0.141264\pi\) | |||||||
\(674\) | 6.27114 | + | 6.11965i | 0.241555 | + | 0.235720i | ||||
\(675\) | −11.8052 | − | 21.7843i | −0.454381 | − | 0.838477i | ||||
\(676\) | −6.95661 | + | 26.0303i | −0.267562 | + | 1.00116i | ||||
\(677\) | −3.62844 | + | 4.84703i | −0.139452 | + | 0.186286i | −0.864830 | − | 0.502064i | \(-0.832574\pi\) |
0.725378 | + | 0.688351i | \(0.241665\pi\) | |||||||
\(678\) | 10.6923 | − | 7.05770i | 0.410635 | − | 0.271049i | ||||
\(679\) | 0.103632 | + | 0.226923i | 0.00397705 | + | 0.00870851i | ||||
\(680\) | 11.0354 | − | 3.66539i | 0.423189 | − | 0.140561i | ||||
\(681\) | 12.7435 | + | 8.18977i | 0.488333 | + | 0.313833i | ||||
\(682\) | −12.4256 | − | 26.3510i | −0.475802 | − | 1.00903i | ||||
\(683\) | −7.28062 | + | 5.45020i | −0.278585 | + | 0.208546i | −0.729429 | − | 0.684057i | \(-0.760214\pi\) |
0.450844 | + | 0.892603i | \(0.351123\pi\) | |||||||
\(684\) | −21.2499 | − | 9.08334i | −0.812509 | − | 0.347310i | ||||
\(685\) | 4.51111 | − | 1.31678i | 0.172361 | − | 0.0503115i | ||||
\(686\) | −1.08484 | + | 0.0909322i | −0.0414192 | + | 0.00347181i | ||||
\(687\) | 0.521328 | − | 0.284667i | 0.0198899 | − | 0.0108607i | ||||
\(688\) | 3.46174 | − | 5.12910i | 0.131978 | − | 0.195545i | ||||
\(689\) | − | 48.3743i | − | 1.84292i | ||||||
\(690\) | −9.02015 | − | 11.9145i | −0.343391 | − | 0.453578i | ||||
\(691\) | − | 1.05509i | − | 0.0401375i | −0.999799 | − | 0.0200687i | \(-0.993611\pi\) | ||
0.999799 | − | 0.0200687i | \(-0.00638850\pi\) | |||||||
\(692\) | 28.4516 | + | 36.1307i | 1.08157 | + | 1.37348i | ||||
\(693\) | 0.301084 | − | 0.164404i | 0.0114372 | − | 0.00624520i | ||||
\(694\) | −2.11668 | − | 25.2523i | −0.0803480 | − | 0.958565i | ||||
\(695\) | −7.22625 | + | 13.1839i | −0.274107 | + | 0.500094i | ||||
\(696\) | 1.38111 | − | 0.821277i | 0.0523509 | − | 0.0311304i | ||||
\(697\) | −8.27100 | + | 6.19159i | −0.313287 | + | 0.234523i | ||||
\(698\) | 20.1426 | − | 9.49815i | 0.762410 | − | 0.359510i | ||||
\(699\) | 18.6790 | + | 12.0043i | 0.706505 | + | 0.454043i | ||||
\(700\) | 0.433162 | − | 0.338869i | 0.0163720 | − | 0.0128080i | ||||
\(701\) | −6.87298 | − | 15.0497i | −0.259589 | − | 0.568421i | 0.734297 | − | 0.678828i | \(-0.237512\pi\) |
−0.993886 | + | 0.110407i | \(0.964784\pi\) | |||||||
\(702\) | 19.8634 | + | 30.0927i | 0.749695 | + | 1.13577i | ||||
\(703\) | −10.9414 | + | 14.6160i | −0.412664 | + | 0.551254i | ||||
\(704\) | 8.63946 | + | 23.0257i | 0.325612 | + | 0.867813i | ||||
\(705\) | 2.81752 | − | 2.80855i | 0.106114 | − | 0.105776i | ||||
\(706\) | 5.75334 | − | 5.89577i | 0.216530 | − | 0.221890i | ||||
\(707\) | 0.0621938 | + | 0.869582i | 0.00233904 | + | 0.0327040i | ||||
\(708\) | 2.15541 | − | 0.207234i | 0.0810051 | − | 0.00778833i | ||||
\(709\) | 4.81770 | − | 4.17456i | 0.180933 | − | 0.156779i | −0.559686 | − | 0.828705i | \(-0.689078\pi\) |
0.740618 | + | 0.671926i | \(0.234533\pi\) | |||||||
\(710\) | −20.4359 | + | 7.87069i | −0.766945 | + | 0.295382i | ||||
\(711\) | 16.5696 | + | 7.56707i | 0.621408 | + | 0.283787i | ||||
\(712\) | 7.77839 | − | 3.90310i | 0.291508 | − | 0.146275i | ||||
\(713\) | −11.3881 | + | 30.0527i | −0.426488 | + | 1.12548i | ||||
\(714\) | −0.0830571 | + | 0.113826i | −0.00310833 | + | 0.00425982i | ||||
\(715\) | −23.2032 | + | 26.6919i | −0.867750 | + | 0.998219i | ||||
\(716\) | 23.1414 | − | 0.565959i | 0.864836 | − | 0.0211509i | ||||
\(717\) | −1.22343 | + | 17.1058i | −0.0456900 | + | 0.638829i | ||||
\(718\) | −23.6448 | − | 26.6228i | −0.882416 | − | 0.993554i | ||||
\(719\) | 33.7534 | − | 38.9535i | 1.25879 | − | 1.45272i | 0.420687 | − | 0.907206i | \(-0.361789\pi\) |
0.838102 | − | 0.545514i | \(-0.183665\pi\) | |||||||
\(720\) | 10.1766 | − | 15.0266i | 0.379261 | − | 0.560008i | ||||
\(721\) | −0.597900 | + | 0.175559i | −0.0222670 | + | 0.00653817i | ||||
\(722\) | 7.67819 | − | 17.3719i | 0.285753 | − | 0.646514i | ||||
\(723\) | −0.865896 | + | 1.15670i | −0.0322030 | + | 0.0430182i | ||||
\(724\) | −24.9388 | − | 27.3977i | −0.926844 | − | 1.01823i | ||||
\(725\) | 0.419343 | − | 2.85205i | 0.0155740 | − | 0.105922i | ||||
\(726\) | 1.90783 | + | 1.01167i | 0.0708062 | + | 0.0375467i | ||||
\(727\) | −45.6114 | + | 9.92215i | −1.69163 | + | 0.367992i | −0.952256 | − | 0.305299i | \(-0.901244\pi\) |
−0.739377 | + | 0.673292i | \(0.764880\pi\) | |||||||
\(728\) | −0.585229 | + | 0.545936i | −0.0216900 | + | 0.0202337i | ||||
\(729\) | 12.0813 | + | 1.73703i | 0.447457 | + | 0.0643346i | ||||
\(730\) | 34.1957 | − | 30.2732i | 1.26564 | − | 1.12046i | ||||
\(731\) | 1.53774 | + | 2.39277i | 0.0568753 | + | 0.0884997i | ||||
\(732\) | 3.19476 | + | 13.1316i | 0.118082 | + | 0.485358i | ||||
\(733\) | 21.3000 | − | 11.6307i | 0.786732 | − | 0.429588i | −0.0350535 | − | 0.999385i | \(-0.511160\pi\) |
0.821785 | + | 0.569797i | \(0.192978\pi\) | |||||||
\(734\) | 37.5081 | − | 21.0803i | 1.38445 | − | 0.778088i | ||||
\(735\) | 4.36698 | − | 14.7854i | 0.161078 | − | 0.545367i | ||||
\(736\) | 11.6508 | − | 24.5002i | 0.429455 | − | 0.903088i | ||||
\(737\) | 6.25410 | + | 6.25410i | 0.230373 | + | 0.230373i | ||||
\(738\) | −4.35343 | + | 15.5262i | −0.160252 | + | 0.571526i | ||||
\(739\) | 16.4372 | + | 4.82641i | 0.604654 | + | 0.177542i | 0.569708 | − | 0.821847i | \(-0.307056\pi\) |
0.0349452 | + | 0.999389i | \(0.488874\pi\) | |||||||
\(740\) | −9.63457 | − | 10.6185i | −0.354174 | − | 0.390342i | ||||
\(741\) | −24.2881 | + | 15.6090i | −0.892244 | + | 0.573410i | ||||
\(742\) | 0.387800 | − | 0.619964i | 0.0142366 | − | 0.0227596i | ||||
\(743\) | −15.8690 | + | 11.8794i | −0.582178 | + | 0.435813i | −0.849346 | − | 0.527837i | \(-0.823003\pi\) |
0.267168 | + | 0.963650i | \(0.413912\pi\) | |||||||
\(744\) | 18.6654 | + | 0.648368i | 0.684308 | + | 0.0237703i | ||||
\(745\) | −1.17308 | + | 16.0425i | −0.0429783 | + | 0.587753i | ||||
\(746\) | 9.31045 | − | 17.5578i | 0.340880 | − | 0.642837i | ||||
\(747\) | −10.6628 | − | 3.97703i | −0.390132 | − | 0.145512i | ||||
\(748\) | −11.2917 | − | 0.530514i | −0.412865 | − | 0.0193975i | ||||
\(749\) | −0.723908 | + | 0.104082i | −0.0264510 | + | 0.00380308i | ||||
\(750\) | 4.50059 | + | 14.9159i | 0.164338 | + | 0.544650i | ||||
\(751\) | −13.5310 | − | 46.0824i | −0.493753 | − | 1.68157i | −0.709162 | − | 0.705046i | \(-0.750927\pi\) |
0.215409 | − | 0.976524i | \(-0.430892\pi\) | |||||||
\(752\) | 6.88208 | + | 2.19008i | 0.250964 | + | 0.0798640i | ||||
\(753\) | 1.14931 | + | 16.0695i | 0.0418832 | + | 0.585604i | ||||
\(754\) | −0.248094 | + | 4.18772i | −0.00903505 | + | 0.152508i | ||||
\(755\) | −6.12153 | + | 16.3329i | −0.222785 | + | 0.594416i | ||||
\(756\) | 0.0133265 | + | 0.544904i | 0.000484679 | + | 0.0198180i | ||||
\(757\) | 16.6642 | − | 6.21543i | 0.605671 | − | 0.225904i | −0.0278714 | − | 0.999612i | \(-0.508873\pi\) |
0.633543 | + | 0.773708i | \(0.281600\pi\) | |||||||
\(758\) | 4.10137 | + | 26.2438i | 0.148969 | + | 0.953219i | ||||
\(759\) | 4.02003 | + | 13.9601i | 0.145918 | + | 0.506719i | ||||
\(760\) | 29.5722 | + | 20.5594i | 1.07270 | + | 0.745767i | ||||
\(761\) | −8.15600 | + | 17.8591i | −0.295655 | + | 0.647394i | −0.997916 | − | 0.0645257i | \(-0.979447\pi\) |
0.702261 | + | 0.711919i | \(0.252174\pi\) | |||||||
\(762\) | 3.12247 | − | 23.7774i | 0.113115 | − | 0.861363i | ||||
\(763\) | −0.0416733 | + | 0.582669i | −0.00150867 | + | 0.0210940i | ||||
\(764\) | −40.8542 | − | 33.6874i | −1.47805 | − | 1.21877i | ||||
\(765\) | 4.49874 | + | 7.02476i | 0.162652 | + | 0.253981i | ||||
\(766\) | 13.5567 | + | 13.2292i | 0.489824 | + | 0.477991i | ||||
\(767\) | −2.70927 | + | 4.96165i | −0.0978260 | + | 0.179155i | ||||
\(768\) | −15.6592 | − | 1.83090i | −0.565054 | − | 0.0660669i | ||||
\(769\) | 51.2274 | − | 7.36539i | 1.84731 | − | 0.265603i | 0.872494 | − | 0.488625i | \(-0.162501\pi\) |
0.974813 | + | 0.223022i | \(0.0715922\pi\) | |||||||
\(770\) | −0.511350 | + | 0.156070i | −0.0184278 | + | 0.00562439i | ||||
\(771\) | −14.8429 | + | 6.77853i | −0.534554 | + | 0.244123i | ||||
\(772\) | 17.6364 | + | 6.09116i | 0.634749 | + | 0.219225i | ||||
\(773\) | 25.7337 | − | 5.59803i | 0.925578 | − | 0.201347i | 0.275576 | − | 0.961279i | \(-0.411132\pi\) |
0.650002 | + | 0.759932i | \(0.274768\pi\) | |||||||
\(774\) | 4.17789 | + | 1.50035i | 0.150171 | + | 0.0539290i | ||||
\(775\) | 22.0225 | − | 25.2523i | 0.791072 | − | 0.907089i | ||||
\(776\) | −6.55749 | − | 11.0275i | −0.235400 | − | 0.395864i | ||||
\(777\) | 0.169772 | + | 0.0369316i | 0.00609053 | + | 0.00132491i | ||||
\(778\) | 37.2877 | + | 31.5201i | 1.33683 | + | 1.13005i | ||||
\(779\) | −30.7049 | − | 9.01576i | −1.10012 | − | 0.323023i | ||||
\(780\) | −8.40683 | − | 21.0567i | −0.301013 | − | 0.753951i | ||||
\(781\) | 21.2888 | 0.761773 | ||||||||
\(782\) | 8.23186 | + | 9.36666i | 0.294371 | + | 0.334951i | ||||
\(783\) | 2.02023 | + | 2.02023i | 0.0721971 | + | 0.0721971i | ||||
\(784\) | 27.4752 | − | 5.33256i | 0.981257 | − | 0.190449i | ||||
\(785\) | −34.3121 | − | 22.1284i | −1.22465 | − | 0.789796i | ||||
\(786\) | 2.21157 | + | 26.3844i | 0.0788840 | + | 0.941099i | ||||
\(787\) | 2.50464 | − | 11.5137i | 0.0892809 | − | 0.410418i | −0.910716 | − | 0.413034i | \(-0.864469\pi\) |
0.999997 | + | 0.00261625i | \(0.000832778\pi\) | |||||||
\(788\) | 24.4905 | − | 9.82306i | 0.872439 | − | 0.349932i | ||||
\(789\) | −22.7127 | − | 3.26559i | −0.808592 | − | 0.116258i | ||||
\(790\) | −22.9064 | − | 16.7704i | −0.814971 | − | 0.596665i | ||||
\(791\) | −0.273358 | + | 0.425354i | −0.00971951 | + | 0.0151238i | ||||
\(792\) | −14.4821 | + | 10.0761i | −0.514599 | + | 0.358039i | ||||
\(793\) | −33.0586 | − | 12.3302i | −1.17395 | − | 0.437859i | ||||
\(794\) | −37.9594 | − | 7.77277i | −1.34713 | − | 0.275845i | ||||
\(795\) | 12.3882 | + | 16.6038i | 0.439365 | + | 0.588876i | ||||
\(796\) | −35.4908 | − | 9.48495i | −1.25794 | − | 0.336185i | ||||
\(797\) | −38.9442 | − | 21.2651i | −1.37947 | − | 0.753249i | −0.393369 | − | 0.919381i | \(-0.628691\pi\) |
−0.986104 | + | 0.166131i | \(0.946872\pi\) | |||||||
\(798\) | −0.436406 | + | 0.00533569i | −0.0154486 | + | 0.000188881i | ||||
\(799\) | −2.17390 | + | 2.50881i | −0.0769069 | + | 0.0887553i | ||||
\(800\) | −20.2673 | + | 19.7291i | −0.716558 | + | 0.697527i | ||||
\(801\) | 4.08839 | + | 4.71825i | 0.144456 | + | 0.166711i | ||||
\(802\) | −3.94192 | + | 30.0174i | −0.139194 | + | 1.05995i | ||||
\(803\) | −41.5985 | + | 15.5155i | −1.46798 | + | 0.547528i | ||||
\(804\) | −5.39966 | + | 1.72996i | −0.190431 | + | 0.0610111i | ||||
\(805\) | 0.515693 | + | 0.286167i | 0.0181758 | + | 0.0100861i | ||||
\(806\) | −28.7414 | + | 39.3887i | −1.01237 | + | 1.38741i | ||||
\(807\) | 5.64602 | + | 15.1376i | 0.198749 | + | 0.532867i | ||||
\(808\) | −8.00393 | − | 44.1160i | −0.281577 | − | 1.55199i | ||||
\(809\) | 1.09347 | − | 0.947496i | 0.0384443 | − | 0.0333122i | −0.635427 | − | 0.772161i | \(-0.719176\pi\) |
0.673871 | + | 0.738849i | \(0.264630\pi\) | |||||||
\(810\) | 3.58180 | + | 1.29273i | 0.125851 | + | 0.0454219i | ||||
\(811\) | −18.6886 | − | 16.1938i | −0.656246 | − | 0.568640i | 0.261796 | − | 0.965123i | \(-0.415685\pi\) |
−0.918042 | + | 0.396483i | \(0.870231\pi\) | |||||||
\(812\) | −0.0367510 | + | 0.0516808i | −0.00128971 | + | 0.00181364i | ||||
\(813\) | −8.55095 | + | 15.6599i | −0.299895 | + | 0.549217i | ||||
\(814\) | 5.03024 | + | 12.9990i | 0.176310 | + | 0.455614i | ||||
\(815\) | −6.06048 | + | 41.6800i | −0.212289 | + | 1.45999i | ||||
\(816\) | 3.61518 | − | 6.28057i | 0.126557 | − | 0.219864i | ||||
\(817\) | −3.07870 | + | 8.25431i | −0.107710 | + | 0.288782i | ||||
\(818\) | −16.3590 | − | 53.2944i | −0.571978 | − | 1.86340i | ||||
\(819\) | −0.483000 | − | 0.310405i | −0.0168774 | − | 0.0108464i | ||||
\(820\) | 11.5366 | − | 22.3263i | 0.402876 | − | 0.779668i | ||||
\(821\) | 1.08147 | − | 7.52180i | 0.0377436 | − | 0.262513i | −0.962208 | − | 0.272314i | \(-0.912211\pi\) |
0.999952 | + | 0.00980173i | \(0.00312004\pi\) | |||||||
\(822\) | 1.55311 | − | 2.48291i | 0.0541710 | − | 0.0866016i | ||||
\(823\) | 12.3645 | + | 2.68973i | 0.430999 | + | 0.0937582i | 0.422831 | − | 0.906208i | \(-0.361036\pi\) |
0.00816818 | + | 0.999967i | \(0.497400\pi\) | |||||||
\(824\) | 29.5962 | − | 12.2930i | 1.03103 | − | 0.428249i | ||||
\(825\) | 1.12863 | − | 15.1037i | 0.0392937 | − | 0.525844i | ||||
\(826\) | −0.0744977 | + | 0.0418692i | −0.00259211 | + | 0.00145681i | ||||
\(827\) | −11.5572 | + | 11.5572i | −0.401882 | + | 0.401882i | −0.878896 | − | 0.477014i | \(-0.841719\pi\) |
0.477014 | + | 0.878896i | \(0.341719\pi\) | |||||||
\(828\) | 19.0932 | + | 3.77044i | 0.663535 | + | 0.131032i | ||||
\(829\) | 22.3090i | 0.774822i | 0.921907 | + | 0.387411i | \(0.126631\pi\) | ||||
−0.921907 | + | 0.387411i | \(0.873369\pi\) | |||||||
\(830\) | 15.0219 | + | 9.42979i | 0.521416 | + | 0.327313i | ||||
\(831\) | −1.74860 | + | 5.95518i | −0.0606582 | + | 0.206583i | ||||
\(832\) | 26.8936 | − | 31.1598i | 0.932369 | − | 1.08027i | ||||
\(833\) | −2.73455 | + | 12.5705i | −0.0947466 | + | 0.435543i | ||||
\(834\) | 2.10341 | + | 9.13034i | 0.0728351 | + | 0.316158i | ||||
\(835\) | −34.4507 | − | 15.7995i | −1.19221 | − | 0.546764i | ||||
\(836\) | −19.6439 | − | 28.9831i | −0.679398 | − | 1.00240i | ||||
\(837\) | 7.05883 | + | 32.4489i | 0.243989 | + | 1.12160i | ||||
\(838\) | −49.3095 | + | 15.1358i | −1.70337 | + | 0.522857i | ||||
\(839\) | 6.93639 | + | 15.1886i | 0.239471 | + | 0.524368i | 0.990764 | − | 0.135601i | \(-0.0432966\pi\) |
−0.751293 | + | 0.659969i | \(0.770569\pi\) | |||||||
\(840\) | 0.0610622 | − | 0.337256i | 0.00210685 | − | 0.0116365i | ||||
\(841\) | −4.07982 | − | 28.3758i | −0.140684 | − | 0.978476i | ||||
\(842\) | −5.92094 | + | 13.3961i | −0.204049 | + | 0.461660i | ||||
\(843\) | −9.97149 | − | 5.44484i | −0.343436 | − | 0.187530i | ||||
\(844\) | −1.41942 | + | 0.239639i | −0.0488585 | + | 0.00824870i | ||||
\(845\) | 29.4254 | + | 6.45023i | 1.01227 | + | 0.221895i | ||||
\(846\) | −0.306402 | + | 5.17194i | −0.0105343 | + | 0.177815i | ||||
\(847\) | −0.0850080 | − | 0.00607989i | −0.00292091 | − | 0.000208908i | ||||
\(848\) | −16.3886 | + | 33.8495i | −0.562786 | + | 1.16240i | ||||
\(849\) | 12.3763 | + | 5.65204i | 0.424752 | + | 0.193978i | ||||
\(850\) | −4.65322 | − | 12.1395i | −0.159604 | − | 0.416381i | ||||
\(851\) | 6.46022 | − | 13.9527i | 0.221453 | − | 0.478293i | ||||
\(852\) | −6.24579 | + | 12.1345i | −0.213977 | + | 0.415723i | ||||
\(853\) | −4.28569 | − | 11.4904i | −0.146739 | − | 0.393423i | 0.842698 | − | 0.538387i | \(-0.180966\pi\) |
−0.989437 | + | 0.144964i | \(0.953693\pi\) | |||||||
\(854\) | −0.324831 | − | 0.423043i | −0.0111155 | − | 0.0144762i | ||||
\(855\) | −9.06786 | + | 24.1941i | −0.310114 | + | 0.827420i | ||||
\(856\) | 36.4354 | − | 9.33752i | 1.24534 | − | 0.319150i | ||||
\(857\) | −17.2433 | + | 1.23327i | −0.589020 | + | 0.0421276i | −0.362669 | − | 0.931918i | \(-0.618134\pi\) |
−0.226351 | + | 0.974046i | \(0.572680\pi\) | |||||||
\(858\) | 0.269462 | + | 22.0393i | 0.00919929 | + | 0.752410i | ||||
\(859\) | 23.5489 | − | 6.91459i | 0.803480 | − | 0.235923i | 0.145892 | − | 0.989301i | \(-0.453395\pi\) |
0.657588 | + | 0.753378i | \(0.271577\pi\) | |||||||
\(860\) | −5.90409 | − | 3.60636i | −0.201328 | − | 0.122976i | ||||
\(861\) | 0.0433387 | + | 0.301427i | 0.00147698 | + | 0.0102726i | ||||
\(862\) | 2.14069 | + | 3.24311i | 0.0729122 | + | 0.110461i | ||||
\(863\) | 4.51903 | − | 12.1160i | 0.153830 | − | 0.412433i | −0.837060 | − | 0.547112i | \(-0.815727\pi\) |
0.990889 | + | 0.134678i | \(0.0430000\pi\) | |||||||
\(864\) | −3.70423 | − | 27.7865i | −0.126021 | − | 0.945317i | ||||
\(865\) | 38.9115 | − | 33.6086i | 1.32303 | − | 1.14273i | ||||
\(866\) | −19.2291 | − | 6.90547i | −0.653430 | − | 0.234658i | ||||
\(867\) | −8.04251 | − | 10.7435i | −0.273138 | − | 0.364870i | ||||
\(868\) | −0.684113 | + | 0.274395i | −0.0232203 | + | 0.00931357i | ||||
\(869\) | 14.9206 | + | 23.2169i | 0.506147 | + | 0.787580i | ||||
\(870\) | −0.987281 | − | 1.50091i | −0.0334720 | − | 0.0508856i | ||||
\(871\) | 4.17047 | − | 14.2033i | 0.141311 | − | 0.481261i | ||||
\(872\) | −1.10164 | − | 30.0225i | −0.0373064 | − | 1.01669i | ||||
\(873\) | 6.50811 | − | 6.50811i | 0.220266 | − | 0.220266i | ||||
\(874\) | −7.94541 | + | 37.7976i | −0.268757 | + | 1.27852i | ||||
\(875\) | −0.400435 | − | 0.466615i | −0.0135372 | − | 0.0157745i | ||||
\(876\) | 3.36057 | − | 28.2630i | 0.113543 | − | 0.954918i | ||||
\(877\) | 16.0541 | + | 29.4008i | 0.542107 | + | 0.992795i | 0.994870 | + | 0.101164i | \(0.0322566\pi\) |
−0.452763 | + | 0.891631i | \(0.649562\pi\) | |||||||
\(878\) | 29.9284 | − | 35.4047i | 1.01003 | − | 1.19485i | ||||
\(879\) | 16.2911 | − | 10.4697i | 0.549485 | − | 0.353133i | ||||
\(880\) | 25.2791 | − | 10.8165i | 0.852158 | − | 0.364623i | ||||
\(881\) | 5.18496 | − | 36.0622i | 0.174686 | − | 1.21497i | −0.694137 | − | 0.719843i | \(-0.744214\pi\) |
0.868823 | − | 0.495124i | \(-0.164877\pi\) | |||||||
\(882\) | 8.56330 | + | 18.1601i | 0.288341 | + | 0.611484i | ||||
\(883\) | −10.2594 | − | 47.1619i | −0.345258 | − | 1.58712i | −0.742783 | − | 0.669533i | \(-0.766494\pi\) |
0.397525 | − | 0.917591i | \(-0.369869\pi\) | |||||||
\(884\) | 8.27779 | + | 17.0123i | 0.278412 | + | 0.572187i | ||||
\(885\) | −0.340716 | − | 2.39683i | −0.0114530 | − | 0.0805687i | ||||
\(886\) | −41.3022 | − | 8.45728i | −1.38758 | − | 0.284128i | ||||
\(887\) | −38.8953 | − | 29.1166i | −1.30598 | − | 0.977641i | −0.999669 | − | 0.0257080i | \(-0.991816\pi\) |
−0.306306 | − | 0.951933i | \(-0.599093\pi\) | |||||||
\(888\) | −8.88516 | − | 0.946469i | −0.298167 | − | 0.0317614i | ||||
\(889\) | 0.266646 | + | 0.908112i | 0.00894301 | + | 0.0304571i | ||||
\(890\) | −4.75360 | − | 8.48971i | −0.159341 | − | 0.284576i | ||||
\(891\) | −2.79764 | − | 2.42417i | −0.0937245 | − | 0.0812127i | ||||
\(892\) | −26.9038 | + | 2.58669i | −0.900805 | + | 0.0866089i | ||||
\(893\) | −10.2559 | − | 0.733515i | −0.343200 | − | 0.0245461i | ||||
\(894\) | 6.10508 | + | 7.95093i | 0.204184 | + | 0.265919i | ||||
\(895\) | −1.80517 | − | 25.8176i | −0.0603402 | − | 0.862987i | ||||
\(896\) | 0.594465 | − | 0.183746i | 0.0198597 | − | 0.00613854i | ||||
\(897\) | 17.2821 | − | 17.1026i | 0.577031 | − | 0.571039i | ||||
\(898\) | −9.56676 | + | 1.49509i | −0.319247 | + | 0.0498917i | ||||
\(899\) | −1.60498 | + | 3.51441i | −0.0535290 | + | 0.117212i | ||||
\(900\) | −17.2988 | − | 10.6044i | −0.576628 | − | 0.353481i | ||||
\(901\) | −11.3202 | − | 13.0642i | −0.377131 | − | 0.435232i | ||||
\(902\) | −18.2663 | + | 16.2230i | −0.608200 | + | 0.540168i | ||||
\(903\) | 0.0836213 | − | 0.00598071i | 0.00278274 | − | 0.000199026i | ||||
\(904\) | 11.6169 | − | 23.2644i | 0.386373 | − | 0.773763i | ||||
\(905\) | −29.3359 | + | 29.2426i | −0.975160 | + | 0.972057i | ||||
\(906\) | 3.92296 | + | 10.1376i | 0.130332 | + | 0.336799i | ||||
\(907\) | 24.8511 | + | 18.6033i | 0.825168 | + | 0.617713i | 0.926141 | − | 0.377176i | \(-0.123105\pi\) |
−0.100974 | + | 0.994889i | \(0.532196\pi\) | |||||||
\(908\) | 30.7125 | + | 1.44296i | 1.01923 | + | 0.0478862i | ||||
\(909\) | 29.2578 | − | 13.3616i | 0.970419 | − | 0.443176i | ||||
\(910\) | 0.639414 | + | 0.625959i | 0.0211964 | + | 0.0207503i | ||||
\(911\) | 12.3243 | − | 19.1770i | 0.408322 | − | 0.635361i | −0.574804 | − | 0.818291i | \(-0.694922\pi\) |
0.983126 | + | 0.182930i | \(0.0585581\pi\) | |||||||
\(912\) | 22.2835 | − | 2.69378i | 0.737880 | − | 0.0892000i | ||||
\(913\) | −10.3327 | − | 13.8029i | −0.341964 | − | 0.456810i | ||||
\(914\) | −0.304363 | − | 1.32116i | −0.0100674 | − | 0.0437001i | ||||
\(915\) | 14.5045 | − | 4.23383i | 0.479506 | − | 0.139966i | ||||
\(916\) | 0.626810 | − | 1.02986i | 0.0207104 | − | 0.0340274i | ||||
\(917\) | −0.500783 | − | 0.917115i | −0.0165373 | − | 0.0302858i | ||||
\(918\) | 12.4065 | + | 3.47870i | 0.409475 | + | 0.114814i | ||||
\(919\) | −45.2902 | −1.49399 | −0.746994 | − | 0.664831i | \(-0.768503\pi\) | ||||
−0.746994 | + | 0.664831i | \(0.768503\pi\) | |||||||
\(920\) | −27.9544 | − | 11.7707i | −0.921631 | − | 0.388068i | ||||
\(921\) | 30.7376 | 1.01284 | ||||||||
\(922\) | 37.3449 | + | 10.4713i | 1.22989 | + | 0.344852i | ||||
\(923\) | −17.0758 | − | 31.2720i | −0.562057 | − | 1.02933i | ||||
\(924\) | −0.173228 | + | 0.284615i | −0.00569878 | + | 0.00936316i | ||||
\(925\) | −11.3712 | + | 11.2990i | −0.373883 | + | 0.371507i | ||||
\(926\) | 1.35356 | + | 5.87545i | 0.0444808 | + | 0.193079i | ||||
\(927\) | 13.7775 | + | 18.4046i | 0.452514 | + | 0.604488i | ||||
\(928\) | 1.59235 | − | 2.84627i | 0.0522713 | − | 0.0934334i | ||||
\(929\) | 4.20317 | − | 6.54025i | 0.137901 | − | 0.214579i | −0.765433 | − | 0.643515i | \(-0.777475\pi\) |
0.903335 | + | 0.428937i | \(0.141112\pi\) | |||||||
\(930\) | −0.222015 | − | 20.8800i | −0.00728016 | − | 0.684682i | ||||
\(931\) | −36.2452 | + | 16.5526i | −1.18789 | + | 0.542490i | ||||
\(932\) | 45.0172 | + | 2.11503i | 1.47459 | + | 0.0692802i | ||||
\(933\) | 9.19009 | + | 6.87962i | 0.300870 | + | 0.225229i | ||||
\(934\) | 8.40278 | + | 21.7142i | 0.274947 | + | 0.710510i | ||||
\(935\) | −0.0201369 | + | 12.6384i | −0.000658547 | + | 0.413320i | ||||
\(936\) | 26.4173 | + | 13.1913i | 0.863478 | + | 0.431171i | ||||
\(937\) | −14.0048 | + | 1.00165i | −0.457518 | + | 0.0327223i | −0.298197 | − | 0.954504i | \(-0.596385\pi\) |
−0.159321 | + | 0.987227i | \(0.550931\pi\) | |||||||
\(938\) | 0.167312 | − | 0.148596i | 0.00546292 | − | 0.00485184i | ||||
\(939\) | −2.24656 | − | 2.59266i | −0.0733136 | − | 0.0846084i | ||||
\(940\) | 2.09721 | − | 7.79751i | 0.0684033 | − | 0.254327i | ||||
\(941\) | 0.0482359 | − | 0.105622i | 0.00157245 | − | 0.00344318i | −0.908844 | − | 0.417136i | \(-0.863034\pi\) |
0.910417 | + | 0.413693i | \(0.135761\pi\) | |||||||
\(942\) | −25.1394 | + | 3.92877i | −0.819086 | + | 0.128006i | ||||
\(943\) | 26.8707 | + | 2.06284i | 0.875030 | + | 0.0671755i | ||||
\(944\) | 3.57673 | − | 2.55401i | 0.116413 | − | 0.0831260i | ||||
\(945\) | 0.607920 | − | 0.0425058i | 0.0197756 | − | 0.00138271i | ||||
\(946\) | 4.09601 | + | 5.33442i | 0.133173 | + | 0.173437i | ||||
\(947\) | −31.0279 | − | 2.21916i | −1.00827 | − | 0.0721130i | −0.442579 | − | 0.896729i | \(-0.645936\pi\) |
−0.565692 | + | 0.824616i | \(0.691391\pi\) | |||||||
\(948\) | −17.6110 | + | 1.69323i | −0.571979 | + | 0.0549936i | ||||
\(949\) | 56.1576 | + | 48.6608i | 1.82295 | + | 1.57960i | ||||
\(950\) | 21.4634 | − | 34.0709i | 0.696364 | − | 1.10541i | ||||
\(951\) | −1.22303 | − | 4.16527i | −0.0396596 | − | 0.135068i | ||||
\(952\) | −0.0302938 | + | 0.284389i | −0.000981829 | + | 0.00921712i | ||||
\(953\) | 41.8219 | + | 31.3075i | 1.35474 | + | 1.01415i | 0.996761 | + | 0.0804211i | \(0.0256265\pi\) |
0.357983 | + | 0.933728i | \(0.383464\pi\) | |||||||
\(954\) | −26.4308 | − | 5.41212i | −0.855729 | − | 0.175224i | ||||
\(955\) | −35.5539 | + | 47.3371i | −1.15050 | + | 1.53179i | ||||
\(956\) | 15.2297 | + | 31.2998i | 0.492564 | + | 1.01231i | ||||
\(957\) | 0.371233 | + | 1.70653i | 0.0120003 | + | 0.0551643i | ||||
\(958\) | 14.5641 | + | 30.8860i | 0.470546 | + | 0.997883i | ||||
\(959\) | −0.0164490 | + | 0.114405i | −0.000531166 | + | 0.00369434i | ||||
\(960\) | −1.25112 | + | 17.5824i | −0.0403798 | + | 0.567468i | ||||
\(961\) | −11.6991 | + | 7.51856i | −0.377390 | + | 0.242534i | ||||
\(962\) | 15.0600 | − | 17.8156i | 0.485553 | − | 0.574399i | ||||
\(963\) | 12.9314 | + | 23.6820i | 0.416708 | + | 0.763143i | ||||
\(964\) | −0.346270 | + | 2.91219i | −0.0111526 | + | 0.0937954i | ||||
\(965\) | 5.90911 | − | 20.0066i | 0.190221 | − | 0.644035i | ||||
\(966\) | 0.358591 | − | 0.0806423i | 0.0115375 | − | 0.00259462i | ||||
\(967\) | −35.8065 | + | 35.8065i | −1.15146 | + | 1.15146i | −0.165200 | + | 0.986260i | \(0.552827\pi\) |
−0.986260 | + | 0.165200i | \(0.947173\pi\) | |||||||
\(968\) | 4.38011 | − | 0.160724i | 0.140782 | − | 0.00516585i | ||||
\(969\) | −2.90666 | + | 9.89916i | −0.0933752 | + | 0.318007i | ||||
\(970\) | −11.9840 | + | 7.88295i | −0.384784 | + | 0.253106i | ||||
\(971\) | 27.2545 | + | 42.4088i | 0.874638 | + | 1.36096i | 0.931942 | + | 0.362606i | \(0.118113\pi\) |
−0.0573046 | + | 0.998357i | \(0.518251\pi\) | |||||||
\(972\) | 29.7983 | − | 11.9520i | 0.955782 | − | 0.383360i | ||||
\(973\) | −0.221598 | − | 0.296020i | −0.00710410 | − | 0.00948997i | ||||
\(974\) | −35.9299 | − | 12.9030i | −1.15127 | − | 0.413439i | ||||
\(975\) | −23.0917 | + | 10.4568i | −0.739528 | + | 0.334887i | ||||
\(976\) | 18.9552 | + | 19.8278i | 0.606740 | + | 0.634672i | ||||
\(977\) | −18.6209 | + | 49.9245i | −0.595735 | + | 1.59723i | 0.192124 | + | 0.981371i | \(0.438463\pi\) |
−0.787858 | + | 0.615856i | \(0.788810\pi\) | |||||||
\(978\) | 14.4598 | + | 21.9063i | 0.462373 | + | 0.700486i | ||||
\(979\) | 1.34612 | + | 9.36249i | 0.0430223 | + | 0.299227i | ||||
\(980\) | −7.34860 | − | 30.4163i | −0.234742 | − | 0.971613i | ||||
\(981\) | 20.6789 | − | 6.07189i | 0.660228 | − | 0.193860i | ||||
\(982\) | −0.352273 | − | 28.8124i | −0.0112415 | − | 0.919441i | ||||
\(983\) | −28.5143 | + | 2.03938i | −0.909464 | + | 0.0650462i | −0.518226 | − | 0.855243i | \(-0.673408\pi\) |
−0.391238 | + | 0.920290i | \(0.627953\pi\) | |||||||
\(984\) | −3.88804 | − | 15.1713i | −0.123946 | − | 0.483643i | ||||
\(985\) | −12.2127 | − | 26.8552i | −0.389128 | − | 0.855677i | ||||
\(986\) | 0.912979 | + | 1.18901i | 0.0290752 | + | 0.0378659i | ||||
\(987\) | 0.0341935 | + | 0.0916763i | 0.00108839 | + | 0.00291809i | ||||
\(988\) | −26.8181 | + | 52.1032i | −0.853197 | + | 1.65762i | ||||
\(989\) | 1.09417 | − | 7.33803i | 0.0347925 | − | 0.233336i | ||||
\(990\) | 11.9880 | + | 15.6641i | 0.381002 | + | 0.497837i | ||||
\(991\) | 31.8674 | + | 14.5533i | 1.01230 | + | 0.462302i | 0.851315 | − | 0.524655i | \(-0.175806\pi\) |
0.160985 | + | 0.986957i | \(0.448533\pi\) | |||||||
\(992\) | 33.4559 | − | 17.8247i | 1.06223 | − | 0.565935i | ||||
\(993\) | −6.36521 | − | 0.455249i | −0.201994 | − | 0.0144469i | ||||
\(994\) | 0.0318534 | − | 0.537671i | 0.00101033 | − | 0.0170539i | ||||
\(995\) | −8.79453 | + | 40.1199i | −0.278805 | + | 1.27189i | ||||
\(996\) | 10.8991 | − | 1.84007i | 0.345350 | − | 0.0583050i | ||||
\(997\) | −35.1604 | − | 19.1990i | −1.11354 | − | 0.608039i | −0.186296 | − | 0.982494i | \(-0.559648\pi\) |
−0.927245 | + | 0.374454i | \(0.877830\pi\) | |||||||
\(998\) | −0.188036 | + | 0.425429i | −0.00595216 | + | 0.0134667i | ||||
\(999\) | −2.26103 | − | 15.7258i | −0.0715359 | − | 0.497543i |
(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 | 460.2.w.a.167.5 | yes | 1360 | |
4.3 | odd | 2 | inner | 460.2.w.a.167.22 | yes | 1360 | |
5.3 | odd | 4 | inner | 460.2.w.a.443.30 | yes | 1360 | |
20.3 | even | 4 | inner | 460.2.w.a.443.55 | yes | 1360 | |
23.4 | even | 11 | inner | 460.2.w.a.27.55 | yes | 1360 | |
92.27 | odd | 22 | inner | 460.2.w.a.27.30 | ✓ | 1360 | |
115.73 | odd | 44 | inner | 460.2.w.a.303.22 | yes | 1360 | |
460.303 | even | 44 | inner | 460.2.w.a.303.5 | yes | 1360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.w.a.27.30 | ✓ | 1360 | 92.27 | odd | 22 | inner | |
460.2.w.a.27.55 | yes | 1360 | 23.4 | even | 11 | inner | |
460.2.w.a.167.5 | yes | 1360 | 1.1 | even | 1 | trivial | |
460.2.w.a.167.22 | yes | 1360 | 4.3 | odd | 2 | inner | |
460.2.w.a.303.5 | yes | 1360 | 460.303 | even | 44 | inner | |
460.2.w.a.303.22 | yes | 1360 | 115.73 | odd | 44 | inner | |
460.2.w.a.443.30 | yes | 1360 | 5.3 | odd | 4 | inner | |
460.2.w.a.443.55 | yes | 1360 | 20.3 | even | 4 | inner |