Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(139,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.w (of order \(10\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 139.4 | ||
Character | \(\chi\) | \(=\) | 770.139 |
Dual form | 770.2.w.b.349.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | −0.732958 | + | 2.25581i | −0.423173 | + | 1.30239i | 0.481559 | + | 0.876414i | \(0.340071\pi\) |
−0.904733 | + | 0.425980i | \(0.859929\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 0.464104 | + | 2.18737i | 0.207554 | + | 0.978224i | ||||
\(6\) | −1.91891 | + | 1.39417i | −0.783391 | + | 0.569167i | ||||
\(7\) | −2.63063 | − | 0.282464i | −0.994285 | − | 0.106761i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −2.12441 | − | 1.54347i | −0.708137 | − | 0.514492i | ||||
\(10\) | −0.910238 | + | 2.04242i | −0.287843 | + | 0.645869i | ||||
\(11\) | −2.63315 | − | 2.01656i | −0.793924 | − | 0.608017i | ||||
\(12\) | −2.37190 | −0.684709 | ||||||||
\(13\) | 0.478040 | − | 0.657965i | 0.132584 | − | 0.182487i | −0.737563 | − | 0.675278i | \(-0.764024\pi\) |
0.870147 | + | 0.492792i | \(0.164024\pi\) | |||||||
\(14\) | −1.96220 | − | 1.77476i | −0.524419 | − | 0.474326i | ||||
\(15\) | −5.27447 | − | 0.556321i | −1.36186 | − | 0.143641i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 0.374125 | + | 0.514939i | 0.0907387 | + | 0.124891i | 0.851973 | − | 0.523586i | \(-0.175406\pi\) |
−0.761234 | + | 0.648477i | \(0.775406\pi\) | |||||||
\(18\) | −0.811453 | − | 2.49739i | −0.191261 | − | 0.588641i | ||||
\(19\) | −0.231172 | + | 0.711476i | −0.0530346 | + | 0.163224i | −0.974066 | − | 0.226265i | \(-0.927348\pi\) |
0.921031 | + | 0.389489i | \(0.127348\pi\) | |||||||
\(20\) | −1.93690 | + | 1.11733i | −0.433104 | + | 0.249842i | ||||
\(21\) | 2.56533 | − | 5.72717i | 0.559800 | − | 1.24977i | ||||
\(22\) | −0.944954 | − | 3.17916i | −0.201465 | − | 0.677799i | ||||
\(23\) | 5.84039i | 1.21781i | 0.793245 | + | 0.608903i | \(0.208390\pi\) | ||||
−0.793245 | + | 0.608903i | \(0.791610\pi\) | |||||||
\(24\) | −1.91891 | − | 1.39417i | −0.391696 | − | 0.284583i | ||||
\(25\) | −4.56921 | + | 2.03034i | −0.913843 | + | 0.406068i | ||||
\(26\) | 0.773484 | − | 0.251320i | 0.151693 | − | 0.0492880i | ||||
\(27\) | −0.717833 | + | 0.521536i | −0.138147 | + | 0.100370i | ||||
\(28\) | −0.544270 | − | 2.58916i | −0.102857 | − | 0.489306i | ||||
\(29\) | 8.07009 | − | 2.62213i | 1.49858 | − | 0.486918i | 0.558975 | − | 0.829184i | \(-0.311195\pi\) |
0.939603 | + | 0.342267i | \(0.111195\pi\) | |||||||
\(30\) | −3.94014 | − | 3.55033i | −0.719368 | − | 0.648199i | ||||
\(31\) | 2.72989 | − | 3.75737i | 0.490303 | − | 0.674844i | −0.490141 | − | 0.871643i | \(-0.663055\pi\) |
0.980444 | + | 0.196799i | \(0.0630548\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 6.47898 | − | 4.46183i | 1.12785 | − | 0.776705i | ||||
\(34\) | 0.636500i | 0.109159i | ||||||||
\(35\) | −0.603032 | − | 5.88527i | −0.101931 | − | 0.994791i | ||||
\(36\) | 0.811453 | − | 2.49739i | 0.135242 | − | 0.416232i | ||||
\(37\) | −3.85636 | + | 1.25301i | −0.633982 | + | 0.205993i | −0.608338 | − | 0.793678i | \(-0.708164\pi\) |
−0.0256440 | + | 0.999671i | \(0.508164\pi\) | |||||||
\(38\) | −0.605217 | + | 0.439716i | −0.0981792 | + | 0.0713314i | ||||
\(39\) | 1.13386 | + | 1.56063i | 0.181563 | + | 0.249900i | ||||
\(40\) | −2.22373 | − | 0.234546i | −0.351603 | − | 0.0370850i | ||||
\(41\) | −0.693842 | + | 2.13543i | −0.108360 | + | 0.333498i | −0.990504 | − | 0.137481i | \(-0.956099\pi\) |
0.882144 | + | 0.470979i | \(0.156099\pi\) | |||||||
\(42\) | 5.44174 | − | 3.12552i | 0.839679 | − | 0.482278i | ||||
\(43\) | 1.78702 | 0.272519 | 0.136259 | − | 0.990673i | \(-0.456492\pi\) | ||||
0.136259 | + | 0.990673i | \(0.456492\pi\) | |||||||
\(44\) | 1.10418 | − | 3.12743i | 0.166461 | − | 0.471477i | ||||
\(45\) | 2.39021 | − | 5.36321i | 0.356311 | − | 0.799501i | ||||
\(46\) | −3.43289 | + | 4.72497i | −0.506153 | + | 0.696659i | ||||
\(47\) | −1.40295 | + | 4.31784i | −0.204642 | + | 0.629822i | 0.795086 | + | 0.606496i | \(0.207426\pi\) |
−0.999728 | + | 0.0233258i | \(0.992574\pi\) | |||||||
\(48\) | −0.732958 | − | 2.25581i | −0.105793 | − | 0.325598i | ||||
\(49\) | 6.84043 | + | 1.48612i | 0.977204 | + | 0.212303i | ||||
\(50\) | −4.88998 | − | 1.04314i | −0.691547 | − | 0.147522i | ||||
\(51\) | −1.43582 | + | 0.466527i | −0.201056 | + | 0.0653269i | ||||
\(52\) | 0.773484 | + | 0.251320i | 0.107263 | + | 0.0348518i | ||||
\(53\) | 1.23908 | − | 1.70545i | 0.170201 | − | 0.234262i | −0.715392 | − | 0.698723i | \(-0.753752\pi\) |
0.885594 | + | 0.464461i | \(0.153752\pi\) | |||||||
\(54\) | −0.887291 | −0.120745 | ||||||||
\(55\) | 3.18893 | − | 6.69558i | 0.429995 | − | 0.902831i | ||||
\(56\) | 1.08155 | − | 2.41459i | 0.144528 | − | 0.322663i | ||||
\(57\) | −1.43552 | − | 1.04296i | −0.190139 | − | 0.138144i | ||||
\(58\) | 8.07009 | + | 2.62213i | 1.05965 | + | 0.344303i | ||||
\(59\) | −11.4455 | + | 3.71887i | −1.49008 | + | 0.484155i | −0.937106 | − | 0.349046i | \(-0.886506\pi\) |
−0.552970 | + | 0.833201i | \(0.686506\pi\) | |||||||
\(60\) | −1.10081 | − | 5.18824i | −0.142114 | − | 0.669798i | ||||
\(61\) | −9.48273 | + | 6.88961i | −1.21414 | + | 0.882124i | −0.995600 | − | 0.0937040i | \(-0.970129\pi\) |
−0.218540 | + | 0.975828i | \(0.570129\pi\) | |||||||
\(62\) | 4.41705 | − | 1.43519i | 0.560966 | − | 0.182269i | ||||
\(63\) | 5.15256 | + | 4.66038i | 0.649162 | + | 0.587153i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 1.66108 | + | 0.740287i | 0.206031 | + | 0.0918213i | ||||
\(66\) | 7.86420 | + | 0.198551i | 0.968016 | + | 0.0244400i | ||||
\(67\) | 7.11959i | 0.869796i | 0.900480 | + | 0.434898i | \(0.143216\pi\) | ||||
−0.900480 | + | 0.434898i | \(0.856784\pi\) | |||||||
\(68\) | −0.374125 | + | 0.514939i | −0.0453693 | + | 0.0624455i | ||||
\(69\) | −13.1748 | − | 4.28076i | −1.58606 | − | 0.515343i | ||||
\(70\) | 2.97141 | − | 5.11573i | 0.355151 | − | 0.611447i | ||||
\(71\) | 6.16231 | − | 4.47718i | 0.731331 | − | 0.531343i | −0.158653 | − | 0.987334i | \(-0.550715\pi\) |
0.889984 | + | 0.455991i | \(0.150715\pi\) | |||||||
\(72\) | 2.12441 | − | 1.54347i | 0.250364 | − | 0.181900i | ||||
\(73\) | 9.50651 | − | 3.08885i | 1.11265 | − | 0.361523i | 0.305693 | − | 0.952130i | \(-0.401112\pi\) |
0.806959 | + | 0.590607i | \(0.201112\pi\) | |||||||
\(74\) | −3.85636 | − | 1.25301i | −0.448293 | − | 0.145659i | ||||
\(75\) | −1.23103 | − | 11.7954i | −0.142147 | − | 1.36202i | ||||
\(76\) | −0.748090 | −0.0858118 | ||||||||
\(77\) | 6.35723 | + | 6.04861i | 0.724474 | + | 0.689303i | ||||
\(78\) | 1.92904i | 0.218421i | ||||||||
\(79\) | −9.15919 | + | 12.6065i | −1.03049 | + | 1.41835i | −0.125910 | + | 0.992042i | \(0.540185\pi\) |
−0.904580 | + | 0.426305i | \(0.859815\pi\) | |||||||
\(80\) | −1.66117 | − | 1.49683i | −0.185725 | − | 0.167351i | ||||
\(81\) | −3.08470 | − | 9.49374i | −0.342745 | − | 1.05486i | ||||
\(82\) | −1.81650 | + | 1.31977i | −0.200599 | + | 0.145744i | ||||
\(83\) | −4.36182 | − | 6.00353i | −0.478772 | − | 0.658973i | 0.499496 | − | 0.866316i | \(-0.333518\pi\) |
−0.978268 | + | 0.207343i | \(0.933518\pi\) | |||||||
\(84\) | 6.23959 | + | 0.669978i | 0.680796 | + | 0.0731005i | ||||
\(85\) | −0.952731 | + | 1.05734i | −0.103338 | + | 0.114684i | ||||
\(86\) | 1.44573 | + | 1.05039i | 0.155897 | + | 0.113266i | ||||
\(87\) | 20.1265i | 2.15779i | ||||||||
\(88\) | 2.73155 | − | 1.88112i | 0.291185 | − | 0.200528i | ||||
\(89\) | 10.1872i | 1.07984i | 0.841717 | + | 0.539919i | \(0.181545\pi\) | ||||
−0.841717 | + | 0.539919i | \(0.818455\pi\) | |||||||
\(90\) | 5.08614 | − | 2.93400i | 0.536126 | − | 0.309271i | ||||
\(91\) | −1.44340 | + | 1.59583i | −0.151309 | + | 0.167289i | ||||
\(92\) | −5.55454 | + | 1.80478i | −0.579101 | + | 0.188161i | ||||
\(93\) | 6.47503 | + | 8.91211i | 0.671429 | + | 0.924143i | ||||
\(94\) | −3.67298 | + | 2.66857i | −0.378839 | + | 0.275242i | ||||
\(95\) | −1.66355 | − | 0.175462i | −0.170677 | − | 0.0180020i | ||||
\(96\) | 0.732958 | − | 2.25581i | 0.0748072 | − | 0.230233i | ||||
\(97\) | −9.78252 | − | 7.10742i | −0.993264 | − | 0.721649i | −0.0326308 | − | 0.999467i | \(-0.510389\pi\) |
−0.960634 | + | 0.277819i | \(0.910389\pi\) | |||||||
\(98\) | 4.66050 | + | 5.22300i | 0.470782 | + | 0.527602i | ||||
\(99\) | 2.48137 | + | 8.34821i | 0.249387 | + | 0.839026i | ||||
\(100\) | −3.34293 | − | 3.71817i | −0.334293 | − | 0.371817i | ||||
\(101\) | 1.69439 | + | 1.23104i | 0.168598 | + | 0.122493i | 0.668884 | − | 0.743366i | \(-0.266772\pi\) |
−0.500287 | + | 0.865860i | \(0.666772\pi\) | |||||||
\(102\) | −1.43582 | − | 0.466527i | −0.142168 | − | 0.0461931i | ||||
\(103\) | −3.03083 | − | 9.32794i | −0.298637 | − | 0.919110i | −0.981976 | − | 0.189008i | \(-0.939473\pi\) |
0.683339 | − | 0.730101i | \(-0.260527\pi\) | |||||||
\(104\) | 0.478040 | + | 0.657965i | 0.0468756 | + | 0.0645188i | ||||
\(105\) | 13.7181 | + | 2.95333i | 1.33874 | + | 0.288215i | ||||
\(106\) | 2.00488 | − | 0.651425i | 0.194731 | − | 0.0632720i | ||||
\(107\) | −0.172623 | + | 0.531279i | −0.0166881 | + | 0.0513607i | −0.959054 | − | 0.283224i | \(-0.908596\pi\) |
0.942366 | + | 0.334585i | \(0.108596\pi\) | |||||||
\(108\) | −0.717833 | − | 0.521536i | −0.0690735 | − | 0.0501849i | ||||
\(109\) | 2.34499i | 0.224609i | 0.993674 | + | 0.112305i | \(0.0358232\pi\) | ||||
−0.993674 | + | 0.112305i | \(0.964177\pi\) | |||||||
\(110\) | 6.51546 | − | 3.54243i | 0.621224 | − | 0.337758i | ||||
\(111\) | − | 9.61764i | − | 0.912866i | ||||||
\(112\) | 2.29425 | − | 1.31773i | 0.216787 | − | 0.124514i | ||||
\(113\) | 8.21206 | + | 2.66826i | 0.772526 | + | 0.251009i | 0.668646 | − | 0.743581i | \(-0.266874\pi\) |
0.103880 | + | 0.994590i | \(0.466874\pi\) | |||||||
\(114\) | −0.548318 | − | 1.68755i | −0.0513547 | − | 0.158054i | ||||
\(115\) | −12.7751 | + | 2.71055i | −1.19129 | + | 0.252760i | ||||
\(116\) | 4.98759 | + | 6.86483i | 0.463086 | + | 0.637383i | ||||
\(117\) | −2.03110 | + | 0.659946i | −0.187776 | + | 0.0610120i | ||||
\(118\) | −11.4455 | − | 3.71887i | −1.05364 | − | 0.342349i | ||||
\(119\) | −0.838733 | − | 1.46029i | −0.0768865 | − | 0.133865i | ||||
\(120\) | 2.15899 | − | 4.84441i | 0.197088 | − | 0.442232i | ||||
\(121\) | 2.86693 | + | 10.6198i | 0.260630 | + | 0.965439i | ||||
\(122\) | −11.7213 | −1.06120 | ||||||||
\(123\) | −4.30856 | − | 3.13036i | −0.388490 | − | 0.282255i | ||||
\(124\) | 4.41705 | + | 1.43519i | 0.396663 | + | 0.128884i | ||||
\(125\) | −6.56171 | − | 9.05229i | −0.586897 | − | 0.809662i | ||||
\(126\) | 1.42921 | + | 6.79893i | 0.127324 | + | 0.605697i | ||||
\(127\) | 3.94559 | − | 2.86664i | 0.350115 | − | 0.254373i | −0.398802 | − | 0.917037i | \(-0.630574\pi\) |
0.748917 | + | 0.662664i | \(0.230574\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | −1.30981 | + | 4.03119i | −0.115323 | + | 0.354927i | ||||
\(130\) | 0.908709 | + | 1.57526i | 0.0796990 | + | 0.138160i | ||||
\(131\) | 12.5690 | 1.09816 | 0.549081 | − | 0.835769i | \(-0.314978\pi\) | ||||
0.549081 | + | 0.835769i | \(0.314978\pi\) | |||||||
\(132\) | 6.24557 | + | 4.78309i | 0.543607 | + | 0.416315i | ||||
\(133\) | 0.809096 | − | 1.80633i | 0.0701575 | − | 0.156629i | ||||
\(134\) | −4.18479 | + | 5.75987i | −0.361511 | + | 0.497577i | ||||
\(135\) | −1.47395 | − | 1.32812i | −0.126857 | − | 0.114307i | ||||
\(136\) | −0.605347 | + | 0.196689i | −0.0519081 | + | 0.0168660i | ||||
\(137\) | 12.0558 | + | 16.5933i | 1.02999 | + | 1.41766i | 0.904953 | + | 0.425511i | \(0.139906\pi\) |
0.125039 | + | 0.992152i | \(0.460094\pi\) | |||||||
\(138\) | −8.14249 | − | 11.2072i | −0.693135 | − | 0.954018i | ||||
\(139\) | 1.58657 | + | 4.88296i | 0.134571 | + | 0.414168i | 0.995523 | − | 0.0945189i | \(-0.0301313\pi\) |
−0.860952 | + | 0.508686i | \(0.830131\pi\) | |||||||
\(140\) | 5.41087 | − | 2.39216i | 0.457302 | − | 0.202175i | ||||
\(141\) | −8.71194 | − | 6.32959i | −0.733678 | − | 0.533048i | ||||
\(142\) | 7.61703 | 0.639207 | ||||||||
\(143\) | −2.58558 | + | 0.768521i | −0.216217 | + | 0.0642670i | ||||
\(144\) | 2.62592 | 0.218826 | ||||||||
\(145\) | 9.48095 | + | 16.4354i | 0.787350 | + | 1.36488i | ||||
\(146\) | 9.50651 | + | 3.08885i | 0.786764 | + | 0.255635i | ||||
\(147\) | −8.36615 | + | 14.3415i | −0.690028 | + | 1.18286i | ||||
\(148\) | −2.38336 | − | 3.28042i | −0.195911 | − | 0.269649i | ||||
\(149\) | 6.72048 | + | 9.24994i | 0.550563 | + | 0.757785i | 0.990088 | − | 0.140445i | \(-0.0448534\pi\) |
−0.439526 | + | 0.898230i | \(0.644853\pi\) | |||||||
\(150\) | 5.93727 | − | 10.2663i | 0.484776 | − | 0.838239i | ||||
\(151\) | 1.93498 | + | 0.628714i | 0.157467 | + | 0.0511640i | 0.386690 | − | 0.922210i | \(-0.373618\pi\) |
−0.229223 | + | 0.973374i | \(0.573618\pi\) | |||||||
\(152\) | −0.605217 | − | 0.439716i | −0.0490896 | − | 0.0356657i | ||||
\(153\) | − | 1.67139i | − | 0.135124i | ||||||
\(154\) | 1.58783 | + | 8.63011i | 0.127951 | + | 0.695434i | ||||
\(155\) | 9.48573 | + | 4.22748i | 0.761912 | + | 0.339559i | ||||
\(156\) | −1.13386 | + | 1.56063i | −0.0907817 | + | 0.124950i | ||||
\(157\) | −1.25232 | + | 3.85425i | −0.0999461 | + | 0.307602i | −0.988511 | − | 0.151148i | \(-0.951703\pi\) |
0.888565 | + | 0.458751i | \(0.151703\pi\) | |||||||
\(158\) | −14.8199 | + | 4.81527i | −1.17901 | + | 0.383082i | ||||
\(159\) | 2.93899 | + | 4.04517i | 0.233077 | + | 0.320803i | ||||
\(160\) | −0.464104 | − | 2.18737i | −0.0366907 | − | 0.172927i | ||||
\(161\) | 1.64970 | − | 15.3639i | 0.130015 | − | 1.21085i | ||||
\(162\) | 3.08470 | − | 9.49374i | 0.242357 | − | 0.745899i | ||||
\(163\) | −9.76479 | + | 13.4401i | −0.764837 | + | 1.05271i | 0.231959 | + | 0.972726i | \(0.425487\pi\) |
−0.996796 | + | 0.0799827i | \(0.974513\pi\) | |||||||
\(164\) | −2.24532 | −0.175330 | ||||||||
\(165\) | 12.7666 | + | 12.1012i | 0.993880 | + | 0.942077i | ||||
\(166\) | − | 7.42077i | − | 0.575964i | ||||||
\(167\) | 1.66365 | − | 2.28982i | 0.128737 | − | 0.177192i | −0.739783 | − | 0.672846i | \(-0.765072\pi\) |
0.868520 | + | 0.495654i | \(0.165072\pi\) | |||||||
\(168\) | 4.65414 | + | 4.20956i | 0.359074 | + | 0.324775i | ||||
\(169\) | 3.81282 | + | 11.7347i | 0.293294 | + | 0.902667i | ||||
\(170\) | −1.39226 | + | 0.295402i | −0.106782 | + | 0.0226563i | ||||
\(171\) | 1.58925 | − | 1.15466i | 0.121533 | − | 0.0882989i | ||||
\(172\) | 0.552221 | + | 1.69956i | 0.0421065 | + | 0.129590i | ||||
\(173\) | 19.9440 | + | 6.48021i | 1.51632 | + | 0.492681i | 0.944727 | − | 0.327859i | \(-0.106327\pi\) |
0.571589 | + | 0.820540i | \(0.306327\pi\) | |||||||
\(174\) | −11.8301 | + | 16.2827i | −0.896835 | + | 1.23439i | ||||
\(175\) | 12.5934 | − | 4.05043i | 0.951972 | − | 0.306184i | ||||
\(176\) | 3.31557 | + | 0.0837098i | 0.249920 | + | 0.00630987i | ||||
\(177\) | − | 28.5447i | − | 2.14555i | ||||||
\(178\) | −5.98787 | + | 8.24159i | −0.448809 | + | 0.617733i | ||||
\(179\) | 0.393228 | − | 1.21023i | 0.0293912 | − | 0.0904570i | −0.935285 | − | 0.353896i | \(-0.884857\pi\) |
0.964676 | + | 0.263439i | \(0.0848567\pi\) | |||||||
\(180\) | 5.83934 | + | 0.615899i | 0.435238 | + | 0.0459064i | ||||
\(181\) | 3.21681 | + | 4.42756i | 0.239103 | + | 0.329098i | 0.911658 | − | 0.410950i | \(-0.134803\pi\) |
−0.672554 | + | 0.740048i | \(0.734803\pi\) | |||||||
\(182\) | −2.10574 | + | 0.442649i | −0.156088 | + | 0.0328113i | ||||
\(183\) | −8.59122 | − | 26.4411i | −0.635081 | − | 1.95458i | ||||
\(184\) | −5.55454 | − | 1.80478i | −0.409486 | − | 0.133050i | ||||
\(185\) | −4.53056 | − | 7.85379i | −0.333093 | − | 0.577422i | ||||
\(186\) | 11.0160i | 0.807731i | ||||||||
\(187\) | 0.0532813 | − | 2.11036i | 0.00389631 | − | 0.154325i | ||||
\(188\) | −4.54005 | −0.331117 | ||||||||
\(189\) | 2.03567 | − | 1.16921i | 0.148073 | − | 0.0850473i | ||||
\(190\) | −1.24271 | − | 1.11976i | −0.0901555 | − | 0.0812361i | ||||
\(191\) | −2.75958 | − | 8.49313i | −0.199676 | − | 0.614541i | −0.999890 | − | 0.0148259i | \(-0.995281\pi\) |
0.800214 | − | 0.599715i | \(-0.204719\pi\) | |||||||
\(192\) | 1.91891 | − | 1.39417i | 0.138485 | − | 0.100615i | ||||
\(193\) | 17.0889 | − | 12.4158i | 1.23008 | − | 0.893709i | 0.233188 | − | 0.972432i | \(-0.425084\pi\) |
0.996897 | + | 0.0787231i | \(0.0250843\pi\) | |||||||
\(194\) | −3.73659 | − | 11.5000i | −0.268272 | − | 0.825655i | ||||
\(195\) | −2.88745 | + | 3.20448i | −0.206774 | + | 0.229477i | ||||
\(196\) | 0.700426 | + | 6.96487i | 0.0500304 | + | 0.497491i | ||||
\(197\) | 13.6474 | 0.972338 | 0.486169 | − | 0.873865i | \(-0.338394\pi\) | ||||
0.486169 | + | 0.873865i | \(0.338394\pi\) | |||||||
\(198\) | −2.89948 | + | 8.21235i | −0.206057 | + | 0.583627i | ||||
\(199\) | 5.76658i | 0.408782i | 0.978889 | + | 0.204391i | \(0.0655214\pi\) | ||||
−0.978889 | + | 0.204391i | \(0.934479\pi\) | |||||||
\(200\) | −0.519004 | − | 4.97299i | −0.0366991 | − | 0.351644i | ||||
\(201\) | −16.0605 | − | 5.21836i | −1.13282 | − | 0.368075i | ||||
\(202\) | 0.647198 | + | 1.99187i | 0.0455367 | + | 0.140147i | ||||
\(203\) | −21.9701 | + | 4.61834i | −1.54200 | + | 0.324144i | ||||
\(204\) | −0.887388 | − | 1.22138i | −0.0621296 | − | 0.0855140i | ||||
\(205\) | −4.99299 | − | 0.526632i | −0.348726 | − | 0.0367816i | ||||
\(206\) | 3.03083 | − | 9.32794i | 0.211168 | − | 0.649909i | ||||
\(207\) | 9.01449 | − | 12.4074i | 0.626551 | − | 0.862373i | ||||
\(208\) | 0.813289i | 0.0563915i | ||||||||
\(209\) | 2.04345 | − | 1.40725i | 0.141348 | − | 0.0973413i | ||||
\(210\) | 9.36222 | + | 10.4526i | 0.646054 | + | 0.721295i | ||||
\(211\) | −12.6807 | + | 17.4535i | −0.872974 | + | 1.20155i | 0.105343 | + | 0.994436i | \(0.466406\pi\) |
−0.978318 | + | 0.207110i | \(0.933594\pi\) | |||||||
\(212\) | 2.00488 | + | 0.651425i | 0.137696 | + | 0.0447401i | ||||
\(213\) | 5.58296 | + | 17.1826i | 0.382538 | + | 1.17733i | ||||
\(214\) | −0.451933 | + | 0.328349i | −0.0308935 | + | 0.0224455i | ||||
\(215\) | 0.829366 | + | 3.90889i | 0.0565623 | + | 0.266584i | ||||
\(216\) | −0.274188 | − | 0.843864i | −0.0186561 | − | 0.0574177i | ||||
\(217\) | −8.24265 | + | 9.11316i | −0.559548 | + | 0.618641i | ||||
\(218\) | −1.37835 | + | 1.89714i | −0.0933537 | + | 0.128490i | ||||
\(219\) | 23.7089i | 1.60210i | ||||||||
\(220\) | 7.35330 | + | 0.963803i | 0.495760 | + | 0.0649796i | ||||
\(221\) | 0.517658 | 0.0348215 | ||||||||
\(222\) | 5.65311 | − | 7.78083i | 0.379412 | − | 0.522215i | ||||
\(223\) | 4.89906 | − | 15.0778i | 0.328065 | − | 1.00968i | −0.641972 | − | 0.766728i | \(-0.721884\pi\) |
0.970038 | − | 0.242954i | \(-0.0781163\pi\) | |||||||
\(224\) | 2.63063 | + | 0.282464i | 0.175766 | + | 0.0188729i | ||||
\(225\) | 12.8407 | + | 2.73919i | 0.856044 | + | 0.182613i | ||||
\(226\) | 5.07533 | + | 6.98560i | 0.337606 | + | 0.464675i | ||||
\(227\) | 14.1957 | − | 4.61246i | 0.942201 | − | 0.306140i | 0.202658 | − | 0.979250i | \(-0.435042\pi\) |
0.739542 | + | 0.673110i | \(0.235042\pi\) | |||||||
\(228\) | 0.548318 | − | 1.68755i | 0.0363133 | − | 0.111761i | ||||
\(229\) | −12.7501 | + | 17.5490i | −0.842548 | + | 1.15967i | 0.142907 | + | 0.989736i | \(0.454355\pi\) |
−0.985456 | + | 0.169932i | \(0.945645\pi\) | |||||||
\(230\) | −11.9285 | − | 5.31615i | −0.786543 | − | 0.350536i | ||||
\(231\) | −18.3041 | + | 9.90734i | −1.20432 | + | 0.651855i | ||||
\(232\) | 8.48540i | 0.557094i | ||||||||
\(233\) | −20.8110 | − | 15.1201i | −1.36338 | − | 0.990550i | −0.998222 | − | 0.0596025i | \(-0.981017\pi\) |
−0.365153 | − | 0.930948i | \(-0.618983\pi\) | |||||||
\(234\) | −2.03110 | − | 0.659946i | −0.132777 | − | 0.0431420i | ||||
\(235\) | −10.0959 | − | 1.06485i | −0.658581 | − | 0.0694633i | ||||
\(236\) | −7.07370 | − | 9.73612i | −0.460459 | − | 0.633767i | ||||
\(237\) | −21.7247 | − | 29.9015i | −1.41117 | − | 1.94231i | ||||
\(238\) | 0.179788 | − | 1.67439i | 0.0116540 | − | 0.108535i | ||||
\(239\) | −7.45527 | − | 2.42237i | −0.482242 | − | 0.156690i | 0.0577999 | − | 0.998328i | \(-0.481591\pi\) |
−0.540041 | + | 0.841638i | \(0.681591\pi\) | |||||||
\(240\) | 4.59414 | − | 2.65019i | 0.296550 | − | 0.171069i | ||||
\(241\) | 30.5782 | 1.96971 | 0.984856 | − | 0.173373i | \(-0.0554665\pi\) | ||||
0.984856 | + | 0.173373i | \(0.0554665\pi\) | |||||||
\(242\) | −3.92278 | + | 10.2768i | −0.252166 | + | 0.660615i | ||||
\(243\) | 21.0152 | 1.34813 | ||||||||
\(244\) | −9.48273 | − | 6.88961i | −0.607070 | − | 0.441062i | ||||
\(245\) | −0.0760244 | + | 15.6523i | −0.00485702 | + | 0.999988i | ||||
\(246\) | −1.64573 | − | 5.06502i | −0.104928 | − | 0.322934i | ||||
\(247\) | 0.357616 | + | 0.492217i | 0.0227546 | + | 0.0313190i | ||||
\(248\) | 2.72989 | + | 3.75737i | 0.173348 | + | 0.238593i | ||||
\(249\) | 16.7399 | − | 5.43911i | 1.06085 | − | 0.344690i | ||||
\(250\) | 0.0122717 | − | 11.1803i | 0.000776128 | − | 0.707106i | ||||
\(251\) | 2.29582 | − | 3.15992i | 0.144911 | − | 0.199452i | −0.730392 | − | 0.683029i | \(-0.760662\pi\) |
0.875302 | + | 0.483576i | \(0.160662\pi\) | |||||||
\(252\) | −2.84006 | + | 6.34051i | −0.178907 | + | 0.399415i | ||||
\(253\) | 11.7775 | − | 15.3786i | 0.740447 | − | 0.966845i | ||||
\(254\) | 4.87702 | 0.306012 | ||||||||
\(255\) | −1.68684 | − | 2.92417i | −0.105634 | − | 0.183118i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −6.06728 | − | 18.6732i | −0.378466 | − | 1.16480i | −0.941110 | − | 0.338100i | \(-0.890216\pi\) |
0.562644 | − | 0.826699i | \(-0.309784\pi\) | |||||||
\(258\) | −3.42914 | + | 2.49141i | −0.213489 | + | 0.155109i | ||||
\(259\) | 10.4986 | − | 2.20692i | 0.652351 | − | 0.137131i | ||||
\(260\) | −0.190754 | + | 1.80854i | −0.0118301 | + | 0.112161i | ||||
\(261\) | −21.1914 | − | 6.88550i | −1.31171 | − | 0.426202i | ||||
\(262\) | 10.1686 | + | 7.38790i | 0.628216 | + | 0.456426i | ||||
\(263\) | −19.3898 | −1.19563 | −0.597814 | − | 0.801634i | \(-0.703964\pi\) | ||||
−0.597814 | + | 0.801634i | \(0.703964\pi\) | |||||||
\(264\) | 2.24134 | + | 7.54065i | 0.137945 | + | 0.464095i | ||||
\(265\) | 4.30553 | + | 1.91883i | 0.264487 | + | 0.117873i | ||||
\(266\) | 1.71631 | − | 0.985778i | 0.105234 | − | 0.0604419i | ||||
\(267\) | −22.9803 | − | 7.46676i | −1.40637 | − | 0.456958i | ||||
\(268\) | −6.77113 | + | 2.20007i | −0.413613 | + | 0.134391i | ||||
\(269\) | −17.4834 | − | 24.0639i | −1.06598 | − | 1.46720i | −0.874076 | − | 0.485789i | \(-0.838532\pi\) |
−0.191909 | − | 0.981413i | \(-0.561468\pi\) | |||||||
\(270\) | −0.411796 | − | 1.94084i | −0.0250611 | − | 0.118116i | ||||
\(271\) | −0.613137 | − | 1.88704i | −0.0372454 | − | 0.114630i | 0.930705 | − | 0.365770i | \(-0.119194\pi\) |
−0.967951 | + | 0.251141i | \(0.919194\pi\) | |||||||
\(272\) | −0.605347 | − | 0.196689i | −0.0367046 | − | 0.0119260i | ||||
\(273\) | −2.54195 | − | 4.42571i | −0.153846 | − | 0.267856i | ||||
\(274\) | 20.5105i | 1.23908i | ||||||||
\(275\) | 16.1257 | + | 3.86793i | 0.972418 | + | 0.233245i | ||||
\(276\) | − | 13.8528i | − | 0.833842i | ||||||
\(277\) | 17.8717 | + | 12.9845i | 1.07380 | + | 0.780165i | 0.976592 | − | 0.215099i | \(-0.0690073\pi\) |
0.0972125 | + | 0.995264i | \(0.469007\pi\) | |||||||
\(278\) | −1.58657 | + | 4.88296i | −0.0951562 | + | 0.292861i | ||||
\(279\) | −11.5988 | + | 3.76868i | −0.694403 | + | 0.225625i | ||||
\(280\) | 5.78357 | + | 1.24513i | 0.345634 | + | 0.0744107i | ||||
\(281\) | −14.5120 | − | 19.9741i | −0.865716 | − | 1.19156i | −0.980176 | − | 0.198128i | \(-0.936514\pi\) |
0.114460 | − | 0.993428i | \(-0.463486\pi\) | |||||||
\(282\) | −3.32766 | − | 10.2415i | −0.198160 | − | 0.609872i | ||||
\(283\) | 19.4605 | + | 6.32311i | 1.15681 | + | 0.375870i | 0.823704 | − | 0.567020i | \(-0.191904\pi\) |
0.333105 | + | 0.942890i | \(0.391904\pi\) | |||||||
\(284\) | 6.16231 | + | 4.47718i | 0.365666 | + | 0.265672i | ||||
\(285\) | 1.61512 | − | 3.62405i | 0.0956716 | − | 0.214670i | ||||
\(286\) | −2.54350 | − | 0.898018i | −0.150400 | − | 0.0531009i | ||||
\(287\) | 2.42842 | − | 5.42153i | 0.143345 | − | 0.320023i | ||||
\(288\) | 2.12441 | + | 1.54347i | 0.125182 | + | 0.0909501i | ||||
\(289\) | 5.12810 | − | 15.7827i | 0.301653 | − | 0.928392i | ||||
\(290\) | −1.99022 | + | 18.8693i | −0.116870 | + | 1.10804i | ||||
\(291\) | 23.2032 | − | 16.8581i | 1.36019 | − | 0.988239i | ||||
\(292\) | 5.87534 | + | 8.08672i | 0.343829 | + | 0.473239i | ||||
\(293\) | −13.3177 | + | 4.32720i | −0.778031 | + | 0.252798i | −0.670999 | − | 0.741458i | \(-0.734135\pi\) |
−0.107032 | + | 0.994256i | \(0.534135\pi\) | |||||||
\(294\) | −15.1981 | + | 6.68498i | −0.886369 | + | 0.389876i | ||||
\(295\) | −13.4465 | − | 23.3096i | −0.782883 | − | 1.35714i | ||||
\(296\) | − | 4.05482i | − | 0.235682i | ||||||
\(297\) | 2.94187 | + | 0.0742750i | 0.170705 | + | 0.00430987i | ||||
\(298\) | 11.4336i | 0.662328i | ||||||||
\(299\) | 3.84277 | + | 2.79194i | 0.222233 | + | 0.161462i | ||||
\(300\) | 10.8377 | − | 4.81577i | 0.625716 | − | 0.278038i | ||||
\(301\) | −4.70100 | − | 0.504771i | −0.270961 | − | 0.0290945i | ||||
\(302\) | 1.19589 | + | 1.64599i | 0.0688155 | + | 0.0947164i | ||||
\(303\) | −4.01892 | + | 2.91991i | −0.230881 | + | 0.167745i | ||||
\(304\) | −0.231172 | − | 0.711476i | −0.0132586 | − | 0.0408059i | ||||
\(305\) | −19.4711 | − | 17.5448i | −1.11491 | − | 1.00461i | ||||
\(306\) | 0.982421 | − | 1.35219i | 0.0561613 | − | 0.0772993i | ||||
\(307\) | − | 19.9751i | − | 1.14004i | −0.821630 | − | 0.570021i | \(-0.806935\pi\) | ||
0.821630 | − | 0.570021i | \(-0.193065\pi\) | |||||||
\(308\) | −3.78807 | + | 7.91521i | −0.215846 | + | 0.451011i | ||||
\(309\) | 23.2636 | 1.32342 | ||||||||
\(310\) | 5.18927 | + | 8.99567i | 0.294731 | + | 0.510920i | ||||
\(311\) | 29.0709 | + | 9.44572i | 1.64846 | + | 0.535618i | 0.978406 | − | 0.206693i | \(-0.0662700\pi\) |
0.670056 | + | 0.742310i | \(0.266270\pi\) | |||||||
\(312\) | −1.83463 | + | 0.596107i | −0.103865 | + | 0.0337479i | ||||
\(313\) | 8.35933 | − | 6.07341i | 0.472497 | − | 0.343289i | −0.325917 | − | 0.945399i | \(-0.605673\pi\) |
0.798414 | + | 0.602109i | \(0.205673\pi\) | |||||||
\(314\) | −3.27862 | + | 2.38206i | −0.185023 | + | 0.134427i | ||||
\(315\) | −7.80267 | + | 13.4335i | −0.439631 | + | 0.756891i | ||||
\(316\) | −14.8199 | − | 4.81527i | −0.833683 | − | 0.270880i | ||||
\(317\) | −1.53946 | + | 2.11889i | −0.0864649 | + | 0.119009i | −0.850058 | − | 0.526689i | \(-0.823433\pi\) |
0.763593 | + | 0.645698i | \(0.223433\pi\) | |||||||
\(318\) | 5.00010i | 0.280392i | ||||||||
\(319\) | −26.5374 | − | 9.36940i | −1.48581 | − | 0.524586i | ||||
\(320\) | 0.910238 | − | 2.04242i | 0.0508839 | − | 0.114175i | ||||
\(321\) | −1.07194 | − | 0.778811i | −0.0598299 | − | 0.0434690i | ||||
\(322\) | 10.3653 | − | 11.4600i | 0.577636 | − | 0.638640i | ||||
\(323\) | −0.452854 | + | 0.147141i | −0.0251975 | + | 0.00818715i | ||||
\(324\) | 8.07586 | − | 5.86746i | 0.448659 | − | 0.325970i | ||||
\(325\) | −0.848372 | + | 3.97697i | −0.0470592 | + | 0.220602i | ||||
\(326\) | −15.7998 | + | 5.13365i | −0.875068 | + | 0.284327i | ||||
\(327\) | −5.28986 | − | 1.71878i | −0.292530 | − | 0.0950487i | ||||
\(328\) | −1.81650 | − | 1.31977i | −0.100300 | − | 0.0728719i | ||||
\(329\) | 4.91028 | − | 10.9624i | 0.270713 | − | 0.604375i | ||||
\(330\) | 3.21550 | + | 17.2941i | 0.177008 | + | 0.952009i | ||||
\(331\) | 9.65619 | 0.530752 | 0.265376 | − | 0.964145i | \(-0.414504\pi\) | ||||
0.265376 | + | 0.964145i | \(0.414504\pi\) | |||||||
\(332\) | 4.36182 | − | 6.00353i | 0.239386 | − | 0.329487i | ||||
\(333\) | 10.1265 | + | 3.29030i | 0.554928 | + | 0.180307i | ||||
\(334\) | 2.69185 | − | 0.874634i | 0.147291 | − | 0.0478578i | ||||
\(335\) | −15.5732 | + | 3.30423i | −0.850855 | + | 0.180530i | ||||
\(336\) | 1.29095 | + | 6.14124i | 0.0704273 | + | 0.335032i | ||||
\(337\) | 6.71481 | + | 20.6661i | 0.365779 | + | 1.12575i | 0.949492 | + | 0.313792i | \(0.101599\pi\) |
−0.583713 | + | 0.811960i | \(0.698401\pi\) | |||||||
\(338\) | −3.81282 | + | 11.7347i | −0.207390 | + | 0.638282i | ||||
\(339\) | −12.0382 | + | 16.5691i | −0.653825 | + | 0.899913i | ||||
\(340\) | −1.30000 | − | 0.579366i | −0.0705023 | − | 0.0314205i | ||||
\(341\) | −14.7652 | + | 4.38871i | −0.799580 | + | 0.237662i | ||||
\(342\) | 1.96442 | 0.106224 | ||||||||
\(343\) | −17.5749 | − | 5.84160i | −0.948953 | − | 0.315417i | ||||
\(344\) | −0.552221 | + | 1.69956i | −0.0297738 | + | 0.0916342i | ||||
\(345\) | 3.24913 | − | 30.8050i | 0.174927 | − | 1.65848i | ||||
\(346\) | 12.3261 | + | 16.9654i | 0.662654 | + | 0.912066i | ||||
\(347\) | 5.89044 | − | 4.27966i | 0.316216 | − | 0.229744i | −0.418343 | − | 0.908289i | \(-0.637389\pi\) |
0.734559 | + | 0.678545i | \(0.237389\pi\) | |||||||
\(348\) | −19.1415 | + | 6.21944i | −1.02609 | + | 0.333397i | ||||
\(349\) | −3.04276 | + | 9.36466i | −0.162875 | + | 0.501279i | −0.998873 | − | 0.0474536i | \(-0.984889\pi\) |
0.835998 | + | 0.548732i | \(0.184889\pi\) | |||||||
\(350\) | 12.5691 | + | 4.12535i | 0.671845 | + | 0.220509i | ||||
\(351\) | 0.721624i | 0.0385175i | ||||||||
\(352\) | 2.63315 | + | 2.01656i | 0.140347 | + | 0.107483i | ||||
\(353\) | −7.84044 | −0.417305 | −0.208652 | − | 0.977990i | \(-0.566908\pi\) | ||||
−0.208652 | + | 0.977990i | \(0.566908\pi\) | |||||||
\(354\) | 16.7781 | − | 23.0931i | 0.891747 | − | 1.22738i | ||||
\(355\) | 12.6532 | + | 11.4014i | 0.671563 | + | 0.605123i | ||||
\(356\) | −9.68857 | + | 3.14801i | −0.513493 | + | 0.166844i | ||||
\(357\) | 3.90890 | − | 0.821692i | 0.206881 | − | 0.0434885i | ||||
\(358\) | 1.02948 | − | 0.747964i | 0.0544099 | − | 0.0395311i | ||||
\(359\) | 32.5863 | − | 10.5879i | 1.71984 | − | 0.558809i | 0.727917 | − | 0.685665i | \(-0.240488\pi\) |
0.991921 | + | 0.126855i | \(0.0404884\pi\) | |||||||
\(360\) | 4.36211 | + | 3.93055i | 0.229903 | + | 0.207158i | ||||
\(361\) | 14.9186 | + | 10.8390i | 0.785188 | + | 0.570472i | ||||
\(362\) | 5.47276i | 0.287642i | ||||||||
\(363\) | −26.0577 | − | 1.31662i | −1.36767 | − | 0.0691047i | ||||
\(364\) | −1.96376 | − | 0.879612i | −0.102929 | − | 0.0461042i | ||||
\(365\) | 11.1685 | + | 19.3607i | 0.584585 | + | 1.01339i | ||||
\(366\) | 8.59122 | − | 26.4411i | 0.449070 | − | 1.38210i | ||||
\(367\) | 8.93956 | + | 27.5131i | 0.466641 | + | 1.43617i | 0.856907 | + | 0.515472i | \(0.172383\pi\) |
−0.390266 | + | 0.920702i | \(0.627617\pi\) | |||||||
\(368\) | −3.43289 | − | 4.72497i | −0.178952 | − | 0.246306i | ||||
\(369\) | 4.76998 | − | 3.46559i | 0.248315 | − | 0.180412i | ||||
\(370\) | 0.951044 | − | 9.01684i | 0.0494424 | − | 0.468763i | ||||
\(371\) | −3.74130 | + | 4.13642i | −0.194239 | + | 0.214752i | ||||
\(372\) | −6.47503 | + | 8.91211i | −0.335715 | + | 0.462072i | ||||
\(373\) | −25.7514 | −1.33336 | −0.666678 | − | 0.745346i | \(-0.732285\pi\) | ||||
−0.666678 | + | 0.745346i | \(0.732285\pi\) | |||||||
\(374\) | 1.28354 | − | 1.67600i | 0.0663704 | − | 0.0866638i | ||||
\(375\) | 25.2297 | − | 8.16703i | 1.30286 | − | 0.421744i | ||||
\(376\) | −3.67298 | − | 2.66857i | −0.189419 | − | 0.137621i | ||||
\(377\) | 2.13255 | − | 6.56332i | 0.109832 | − | 0.338028i | ||||
\(378\) | 2.33413 | + | 0.250628i | 0.120055 | + | 0.0128909i | ||||
\(379\) | −9.34352 | + | 6.78846i | −0.479944 | + | 0.348700i | −0.801304 | − | 0.598257i | \(-0.795860\pi\) |
0.321360 | + | 0.946957i | \(0.395860\pi\) | |||||||
\(380\) | −0.347192 | − | 1.63635i | −0.0178106 | − | 0.0839431i | ||||
\(381\) | 3.57465 | + | 11.0016i | 0.183135 | + | 0.563631i | ||||
\(382\) | 2.75958 | − | 8.49313i | 0.141193 | − | 0.434546i | ||||
\(383\) | −7.03306 | − | 5.10982i | −0.359373 | − | 0.261100i | 0.393418 | − | 0.919360i | \(-0.371293\pi\) |
−0.752790 | + | 0.658260i | \(0.771293\pi\) | |||||||
\(384\) | 2.37190 | 0.121041 | ||||||||
\(385\) | −10.2801 | + | 16.7128i | −0.523925 | + | 0.851764i | ||||
\(386\) | 21.1230 | 1.07513 | ||||||||
\(387\) | −3.79637 | − | 2.75823i | −0.192981 | − | 0.140209i | ||||
\(388\) | 3.73659 | − | 11.5000i | 0.189697 | − | 0.583826i | ||||
\(389\) | −8.02071 | − | 24.6852i | −0.406666 | − | 1.25159i | −0.919496 | − | 0.393100i | \(-0.871403\pi\) |
0.512830 | − | 0.858490i | \(-0.328597\pi\) | |||||||
\(390\) | −4.21954 | + | 0.895277i | −0.213665 | + | 0.0453341i | ||||
\(391\) | −3.00744 | + | 2.18504i | −0.152093 | + | 0.110502i | ||||
\(392\) | −3.52719 | + | 6.04640i | −0.178150 | + | 0.305389i | ||||
\(393\) | −9.21258 | + | 28.3534i | −0.464713 | + | 1.43024i | ||||
\(394\) | 11.0410 | + | 8.02175i | 0.556237 | + | 0.404130i | ||||
\(395\) | −31.8260 | − | 14.1838i | −1.60134 | − | 0.713666i | ||||
\(396\) | −7.17283 | + | 4.93966i | −0.360448 | + | 0.248227i | ||||
\(397\) | −16.6671 | −0.836496 | −0.418248 | − | 0.908333i | \(-0.637356\pi\) | ||||
−0.418248 | + | 0.908333i | \(0.637356\pi\) | |||||||
\(398\) | −3.38951 | + | 4.66526i | −0.169901 | + | 0.233848i | ||||
\(399\) | 3.48171 | + | 3.14913i | 0.174304 | + | 0.157654i | ||||
\(400\) | 2.50317 | − | 4.32830i | 0.125158 | − | 0.216415i | ||||
\(401\) | 17.5610 | − | 12.7588i | 0.876956 | − | 0.637146i | −0.0554885 | − | 0.998459i | \(-0.517672\pi\) |
0.932444 | + | 0.361314i | \(0.117672\pi\) | |||||||
\(402\) | −9.92591 | − | 13.6618i | −0.495059 | − | 0.681391i | ||||
\(403\) | −1.16722 | − | 3.59234i | −0.0581435 | − | 0.178947i | ||||
\(404\) | −0.647198 | + | 1.99187i | −0.0321993 | + | 0.0990992i | ||||
\(405\) | 19.3347 | − | 11.1535i | 0.960751 | − | 0.554222i | ||||
\(406\) | −20.4888 | − | 9.17737i | −1.01684 | − | 0.455465i | ||||
\(407\) | 12.6812 | + | 4.47725i | 0.628581 | + | 0.221929i | ||||
\(408\) | − | 1.50971i | − | 0.0747420i | ||||||
\(409\) | 0.708496 | + | 0.514752i | 0.0350329 | + | 0.0254529i | 0.605164 | − | 0.796101i | \(-0.293108\pi\) |
−0.570131 | + | 0.821554i | \(0.693108\pi\) | |||||||
\(410\) | −3.72987 | − | 3.36086i | −0.184205 | − | 0.165981i | ||||
\(411\) | −46.2678 | + | 15.0333i | −2.28222 | + | 0.741539i | ||||
\(412\) | 7.93482 | − | 5.76499i | 0.390921 | − | 0.284020i | ||||
\(413\) | 31.1593 | − | 6.55002i | 1.53325 | − | 0.322305i | ||||
\(414\) | 14.5858 | − | 4.73920i | 0.716851 | − | 0.232919i | ||||
\(415\) | 11.1076 | − | 12.3272i | 0.545252 | − | 0.605119i | ||||
\(416\) | −0.478040 | + | 0.657965i | −0.0234378 | + | 0.0322594i | ||||
\(417\) | −12.1779 | −0.596356 | ||||||||
\(418\) | 2.48034 | + | 0.0626225i | 0.121318 | + | 0.00306297i | ||||
\(419\) | 13.9264i | 0.680349i | 0.940362 | + | 0.340174i | \(0.110486\pi\) | ||||
−0.940362 | + | 0.340174i | \(0.889514\pi\) | |||||||
\(420\) | 1.43033 | + | 13.9593i | 0.0697930 | + | 0.681143i | ||||
\(421\) | −5.40865 | + | 16.6461i | −0.263601 | + | 0.811282i | 0.728411 | + | 0.685140i | \(0.240259\pi\) |
−0.992012 | + | 0.126141i | \(0.959741\pi\) | |||||||
\(422\) | −20.5178 | + | 6.66663i | −0.998790 | + | 0.324526i | ||||
\(423\) | 9.64493 | − | 7.00745i | 0.468952 | − | 0.340714i | ||||
\(424\) | 1.23908 | + | 1.70545i | 0.0601753 | + | 0.0828242i | ||||
\(425\) | −2.75496 | − | 1.59327i | −0.133635 | − | 0.0772847i | ||||
\(426\) | −5.58296 | + | 17.1826i | −0.270495 | + | 0.832499i | ||||
\(427\) | 26.8916 | − | 15.4455i | 1.30138 | − | 0.747459i | ||||
\(428\) | −0.558620 | −0.0270019 | ||||||||
\(429\) | 0.161480 | − | 6.39587i | 0.00779632 | − | 0.308796i | ||||
\(430\) | −1.62662 | + | 3.64985i | −0.0784425 | + | 0.176011i | ||||
\(431\) | 2.46504 | − | 3.39284i | 0.118737 | − | 0.163427i | −0.745511 | − | 0.666493i | \(-0.767795\pi\) |
0.864248 | + | 0.503066i | \(0.167795\pi\) | |||||||
\(432\) | 0.274188 | − | 0.843864i | 0.0131919 | − | 0.0406004i | ||||
\(433\) | 3.34165 | + | 10.2845i | 0.160589 | + | 0.494243i | 0.998684 | − | 0.0512812i | \(-0.0163305\pi\) |
−0.838095 | + | 0.545525i | \(0.816330\pi\) | |||||||
\(434\) | −12.0250 | + | 2.52779i | −0.577220 | + | 0.121338i | ||||
\(435\) | −44.0242 | + | 9.34081i | −2.11080 | + | 0.447857i | ||||
\(436\) | −2.23022 | + | 0.724642i | −0.106808 | + | 0.0347040i | ||||
\(437\) | −4.15530 | − | 1.35014i | −0.198775 | − | 0.0645858i | ||||
\(438\) | −13.9357 | + | 19.1809i | −0.665875 | + | 0.916499i | ||||
\(439\) | 6.91580 | 0.330073 | 0.165037 | − | 0.986287i | \(-0.447226\pi\) | ||||
0.165037 | + | 0.986287i | \(0.447226\pi\) | |||||||
\(440\) | 5.38244 | + | 5.10190i | 0.256598 | + | 0.243223i | ||||
\(441\) | −12.2381 | − | 13.7152i | −0.582766 | − | 0.653102i | ||||
\(442\) | 0.418794 | + | 0.304272i | 0.0199200 | + | 0.0144727i | ||||
\(443\) | 20.7098 | + | 6.72901i | 0.983950 | + | 0.319705i | 0.756434 | − | 0.654069i | \(-0.226940\pi\) |
0.227516 | + | 0.973774i | \(0.426940\pi\) | |||||||
\(444\) | 9.14692 | − | 2.97201i | 0.434093 | − | 0.141046i | ||||
\(445\) | −22.2831 | + | 4.72791i | −1.05632 | + | 0.224124i | ||||
\(446\) | 12.8259 | − | 9.31857i | 0.607324 | − | 0.441247i | ||||
\(447\) | −25.7920 | + | 8.38032i | −1.21992 | + | 0.396375i | ||||
\(448\) | 1.96220 | + | 1.77476i | 0.0927050 | + | 0.0838497i | ||||
\(449\) | −17.2079 | − | 12.5023i | −0.812091 | − | 0.590018i | 0.102345 | − | 0.994749i | \(-0.467365\pi\) |
−0.914436 | + | 0.404730i | \(0.867365\pi\) | |||||||
\(450\) | 8.77826 | + | 9.76360i | 0.413811 | + | 0.460261i | ||||
\(451\) | 6.13321 | − | 4.22372i | 0.288802 | − | 0.198887i | ||||
\(452\) | 8.63467i | 0.406141i | ||||||||
\(453\) | −2.83652 | + | 3.90414i | −0.133271 | + | 0.183432i | ||||
\(454\) | 14.1957 | + | 4.61246i | 0.666236 | + | 0.216473i | ||||
\(455\) | −4.16057 | − | 2.41662i | −0.195051 | − | 0.113293i | ||||
\(456\) | 1.43552 | − | 1.04296i | 0.0672242 | − | 0.0488412i | ||||
\(457\) | −6.90983 | + | 5.02029i | −0.323228 | + | 0.234839i | −0.737552 | − | 0.675291i | \(-0.764018\pi\) |
0.414323 | + | 0.910130i | \(0.364018\pi\) | |||||||
\(458\) | −20.6300 | + | 6.70311i | −0.963979 | + | 0.313216i | ||||
\(459\) | −0.537119 | − | 0.174521i | −0.0250706 | − | 0.00814592i | ||||
\(460\) | −6.52562 | − | 11.3123i | −0.304258 | − | 0.527437i | ||||
\(461\) | −13.2900 | −0.618978 | −0.309489 | − | 0.950903i | \(-0.600158\pi\) | ||||
−0.309489 | + | 0.950903i | \(0.600158\pi\) | |||||||
\(462\) | −20.6317 | − | 2.74367i | −0.959874 | − | 0.127647i | ||||
\(463\) | − | 22.8521i | − | 1.06203i | −0.847363 | − | 0.531015i | \(-0.821811\pi\) | ||
0.847363 | − | 0.531015i | \(-0.178189\pi\) | |||||||
\(464\) | −4.98759 | + | 6.86483i | −0.231543 | + | 0.318692i | ||||
\(465\) | −16.4890 | + | 18.2995i | −0.764661 | + | 0.848617i | ||||
\(466\) | −7.94910 | − | 24.4648i | −0.368235 | − | 1.13331i | ||||
\(467\) | 21.1191 | − | 15.3439i | 0.977275 | − | 0.710032i | 0.0201767 | − | 0.999796i | \(-0.493577\pi\) |
0.957098 | + | 0.289765i | \(0.0935771\pi\) | |||||||
\(468\) | −1.25529 | − | 1.72776i | −0.0580259 | − | 0.0798658i | ||||
\(469\) | 2.01103 | − | 18.7290i | 0.0928607 | − | 0.864825i | ||||
\(470\) | −7.54181 | − | 6.79568i | −0.347878 | − | 0.313461i | ||||
\(471\) | −7.77656 | − | 5.65000i | −0.358325 | − | 0.260338i | ||||
\(472\) | − | 12.0345i | − | 0.553933i | ||||||
\(473\) | −4.70550 | − | 3.60365i | −0.216359 | − | 0.165696i | ||||
\(474\) | − | 36.9603i | − | 1.69764i | ||||||
\(475\) | −0.388261 | − | 3.72024i | −0.0178146 | − | 0.170696i | ||||
\(476\) | 1.12964 | − | 1.24894i | 0.0517768 | − | 0.0572449i | ||||
\(477\) | −5.26465 | + | 1.71059i | −0.241052 | + | 0.0783225i | ||||
\(478\) | −4.60761 | − | 6.34184i | −0.210747 | − | 0.290069i | ||||
\(479\) | 10.9775 | − | 7.97561i | 0.501574 | − | 0.364415i | −0.308044 | − | 0.951372i | \(-0.599674\pi\) |
0.809618 | + | 0.586957i | \(0.199674\pi\) | |||||||
\(480\) | 5.27447 | + | 0.556321i | 0.240746 | + | 0.0253925i | ||||
\(481\) | −1.01906 | + | 3.13634i | −0.0464651 | + | 0.143005i | ||||
\(482\) | 24.7383 | + | 17.9734i | 1.12680 | + | 0.818666i | ||||
\(483\) | 33.4489 | + | 14.9825i | 1.52198 | + | 0.681728i | ||||
\(484\) | −9.21412 | + | 6.00832i | −0.418824 | + | 0.273106i | ||||
\(485\) | 11.0065 | − | 24.6966i | 0.499778 | − | 1.12142i | ||||
\(486\) | 17.0016 | + | 12.3524i | 0.771210 | + | 0.560317i | ||||
\(487\) | −25.0477 | − | 8.13850i | −1.13502 | − | 0.368791i | −0.319539 | − | 0.947573i | \(-0.603528\pi\) |
−0.815482 | + | 0.578782i | \(0.803528\pi\) | |||||||
\(488\) | −3.62208 | − | 11.1476i | −0.163964 | − | 0.504629i | ||||
\(489\) | −23.1611 | − | 31.8785i | −1.04738 | − | 1.44160i | ||||
\(490\) | −9.26169 | + | 12.6183i | −0.418401 | + | 0.570036i | ||||
\(491\) | 28.3233 | − | 9.20280i | 1.27821 | − | 0.415317i | 0.410262 | − | 0.911967i | \(-0.365437\pi\) |
0.867950 | + | 0.496651i | \(0.165437\pi\) | |||||||
\(492\) | 1.64573 | − | 5.06502i | 0.0741950 | − | 0.228349i | ||||
\(493\) | 4.36946 | + | 3.17460i | 0.196791 | + | 0.142977i | ||||
\(494\) | 0.608413i | 0.0273738i | ||||||||
\(495\) | −17.1090 | + | 9.30213i | −0.768994 | + | 0.418099i | ||||
\(496\) | 4.64437i | 0.208538i | ||||||||
\(497\) | −17.4754 | + | 10.0372i | −0.783879 | + | 0.450229i | ||||
\(498\) | 16.7399 | + | 5.43911i | 0.750132 | + | 0.243733i | ||||
\(499\) | −4.08584 | − | 12.5749i | −0.182907 | − | 0.562931i | 0.816999 | − | 0.576639i | \(-0.195636\pi\) |
−0.999906 | + | 0.0137088i | \(0.995636\pi\) | |||||||
\(500\) | 6.58156 | − | 9.03787i | 0.294336 | − | 0.404186i | ||||
\(501\) | 3.94602 | + | 5.43123i | 0.176295 | + | 0.242649i | ||||
\(502\) | 3.71471 | − | 1.20698i | 0.165796 | − | 0.0538703i | ||||
\(503\) | 15.6041 | + | 5.07007i | 0.695752 | + | 0.226063i | 0.635479 | − | 0.772119i | \(-0.280803\pi\) |
0.0602731 | + | 0.998182i | \(0.480803\pi\) | |||||||
\(504\) | −6.02451 | + | 3.46024i | −0.268353 | + | 0.154131i | ||||
\(505\) | −1.90638 | + | 4.27759i | −0.0848328 | + | 0.190350i | ||||
\(506\) | 18.5675 | − | 5.51890i | 0.825428 | − | 0.245345i | ||||
\(507\) | −29.2658 | −1.29974 | ||||||||
\(508\) | 3.94559 | + | 2.86664i | 0.175057 | + | 0.127187i | ||||
\(509\) | −39.3139 | − | 12.7738i | −1.74256 | − | 0.566191i | −0.747389 | − | 0.664386i | \(-0.768693\pi\) |
−0.995167 | + | 0.0981955i | \(0.968693\pi\) | |||||||
\(510\) | 0.354098 | − | 3.35720i | 0.0156797 | − | 0.148659i | ||||
\(511\) | −25.8806 | + | 5.44038i | −1.14489 | + | 0.240668i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −0.205117 | − | 0.631286i | −0.00905615 | − | 0.0278720i | ||||
\(514\) | 6.06728 | − | 18.6732i | 0.267616 | − | 0.823638i | ||||
\(515\) | 18.9971 | − | 10.9587i | 0.837111 | − | 0.482898i | ||||
\(516\) | −4.23865 | −0.186596 | ||||||||
\(517\) | 12.4014 | − | 8.54037i | 0.545413 | − | 0.375605i | ||||
\(518\) | 9.79074 | + | 4.38549i | 0.430180 | + | 0.192687i | ||||
\(519\) | −29.2363 | + | 40.2403i | −1.28333 | + | 1.76635i | ||||
\(520\) | −1.21736 | + | 1.35102i | −0.0533846 | + | 0.0592460i | ||||
\(521\) | 40.5006 | − | 13.1594i | 1.77436 | − | 0.576526i | 0.775845 | − | 0.630924i | \(-0.217324\pi\) |
0.998519 | + | 0.0543984i | \(0.0173241\pi\) | |||||||
\(522\) | −13.0970 | − | 18.0265i | −0.573240 | − | 0.788997i | ||||
\(523\) | 20.4047 | + | 28.0847i | 0.892236 | + | 1.22806i | 0.972879 | + | 0.231315i | \(0.0743027\pi\) |
−0.0806429 | + | 0.996743i | \(0.525697\pi\) | |||||||
\(524\) | 3.88405 | + | 11.9539i | 0.169675 | + | 0.522207i | ||||
\(525\) | −0.0934203 | + | 31.3772i | −0.00407720 | + | 1.36941i | ||||
\(526\) | −15.6867 | − | 11.3971i | −0.683973 | − | 0.496936i | ||||
\(527\) | 2.95614 | 0.128771 | ||||||||
\(528\) | −2.61901 | + | 7.41794i | −0.113978 | + | 0.322825i | ||||
\(529\) | −11.1101 | −0.483050 | ||||||||
\(530\) | 2.35539 | + | 4.08310i | 0.102311 | + | 0.177358i | ||||
\(531\) | 30.0549 | + | 9.76543i | 1.30427 | + | 0.423783i | ||||
\(532\) | 1.96795 | + | 0.211309i | 0.0853213 | + | 0.00916139i | ||||
\(533\) | 1.07335 | + | 1.47734i | 0.0464920 | + | 0.0639908i | ||||
\(534\) | −14.2026 | − | 19.5482i | −0.614608 | − | 0.845935i | ||||
\(535\) | −1.24222 | − | 0.131022i | −0.0537060 | − | 0.00566459i | ||||
\(536\) | −6.77113 | − | 2.20007i | −0.292468 | − | 0.0950287i | ||||
\(537\) | 2.44184 | + | 1.77410i | 0.105373 | + | 0.0765580i | ||||
\(538\) | − | 29.7446i | − | 1.28238i | ||||||
\(539\) | −15.0150 | − | 17.7073i | −0.646742 | − | 0.762709i | ||||
\(540\) | 0.807646 | − | 1.81222i | 0.0347555 | − | 0.0779854i | ||||
\(541\) | 2.63962 | − | 3.63313i | 0.113486 | − | 0.156200i | −0.748495 | − | 0.663140i | \(-0.769223\pi\) |
0.861981 | + | 0.506940i | \(0.169223\pi\) | |||||||
\(542\) | 0.613137 | − | 1.88704i | 0.0263365 | − | 0.0810553i | ||||
\(543\) | −12.3455 | + | 4.01130i | −0.529797 | + | 0.172141i | ||||
\(544\) | −0.374125 | − | 0.514939i | −0.0160405 | − | 0.0220778i | ||||
\(545\) | −5.12937 | + | 1.08832i | −0.219718 | + | 0.0466185i | ||||
\(546\) | 0.544886 | − | 5.07460i | 0.0233190 | − | 0.217173i | ||||
\(547\) | −11.0877 | + | 34.1243i | −0.474074 | + | 1.45905i | 0.373128 | + | 0.927780i | \(0.378285\pi\) |
−0.847202 | + | 0.531270i | \(0.821715\pi\) | |||||||
\(548\) | −12.0558 | + | 16.5933i | −0.514996 | + | 0.708832i | ||||
\(549\) | 30.7792 | 1.31362 | ||||||||
\(550\) | 10.7725 | + | 12.6077i | 0.459340 | + | 0.537594i | ||||
\(551\) | 6.34784i | 0.270427i | ||||||||
\(552\) | 8.14249 | − | 11.2072i | 0.346567 | − | 0.477009i | ||||
\(553\) | 27.6553 | − | 30.5760i | 1.17602 | − | 1.30022i | ||||
\(554\) | 6.82637 | + | 21.0094i | 0.290025 | + | 0.892604i | ||||
\(555\) | 21.0374 | − | 4.46359i | 0.892987 | − | 0.189469i | ||||
\(556\) | −4.15370 | + | 3.01784i | −0.176156 | + | 0.127985i | ||||
\(557\) | −14.1950 | − | 43.6878i | −0.601463 | − | 1.85111i | −0.519487 | − | 0.854479i | \(-0.673877\pi\) |
−0.0819763 | − | 0.996634i | \(-0.526123\pi\) | |||||||
\(558\) | −11.5988 | − | 3.76868i | −0.491017 | − | 0.159541i | ||||
\(559\) | 0.854269 | − | 1.17580i | 0.0361317 | − | 0.0497310i | ||||
\(560\) | 3.94714 | + | 4.40683i | 0.166797 | + | 0.186222i | ||||
\(561\) | 4.72152 | + | 1.66700i | 0.199343 | + | 0.0703806i | ||||
\(562\) | − | 24.6894i | − | 1.04146i | ||||||
\(563\) | 1.67074 | − | 2.29958i | 0.0704135 | − | 0.0969158i | −0.772358 | − | 0.635188i | \(-0.780923\pi\) |
0.842771 | + | 0.538272i | \(0.180923\pi\) | |||||||
\(564\) | 3.32766 | − | 10.2415i | 0.140120 | − | 0.431245i | ||||
\(565\) | −2.02523 | + | 19.2012i | −0.0852021 | + | 0.807801i | ||||
\(566\) | 12.0273 | + | 16.5541i | 0.505544 | + | 0.695822i | ||||
\(567\) | 5.43307 | + | 25.8458i | 0.228168 | + | 1.08542i | ||||
\(568\) | 2.35379 | + | 7.24423i | 0.0987629 | + | 0.303961i | ||||
\(569\) | −16.9563 | − | 5.50944i | −0.710846 | − | 0.230968i | −0.0687963 | − | 0.997631i | \(-0.521916\pi\) |
−0.642050 | + | 0.766663i | \(0.721916\pi\) | |||||||
\(570\) | 3.43683 | − | 1.98258i | 0.143953 | − | 0.0830410i | ||||
\(571\) | 21.8949i | 0.916274i | 0.888882 | + | 0.458137i | \(0.151483\pi\) | ||||
−0.888882 | + | 0.458137i | \(0.848517\pi\) | |||||||
\(572\) | −1.52989 | − | 2.22154i | −0.0639681 | − | 0.0928874i | ||||
\(573\) | 21.1816 | 0.884872 | ||||||||
\(574\) | 5.15133 | − | 2.95872i | 0.215012 | − | 0.123495i | ||||
\(575\) | −11.8580 | − | 26.6860i | −0.494512 | − | 1.11288i | ||||
\(576\) | 0.811453 | + | 2.49739i | 0.0338105 | + | 0.104058i | ||||
\(577\) | 31.6951 | − | 23.0279i | 1.31949 | − | 0.958663i | 0.319547 | − | 0.947570i | \(-0.396469\pi\) |
0.999938 | − | 0.0110923i | \(-0.00353088\pi\) | |||||||
\(578\) | 13.4255 | − | 9.75422i | 0.558428 | − | 0.405722i | ||||
\(579\) | 15.4823 | + | 47.6496i | 0.643422 | + | 1.98025i | ||||
\(580\) | −12.7012 | + | 14.0957i | −0.527388 | + | 0.585293i | ||||
\(581\) | 9.77855 | + | 17.0251i | 0.405683 | + | 0.706321i | ||||
\(582\) | 28.6807 | 1.18885 | ||||||||
\(583\) | −6.70185 | + | 1.99202i | −0.277562 | + | 0.0825009i | ||||
\(584\) | 9.99573i | 0.413626i | ||||||||
\(585\) | −2.38619 | − | 4.13650i | −0.0986569 | − | 0.171023i | ||||
\(586\) | −13.3177 | − | 4.32720i | −0.550151 | − | 0.178755i | ||||
\(587\) | −4.57871 | − | 14.0918i | −0.188983 | − | 0.581631i | 0.811011 | − | 0.585031i | \(-0.198918\pi\) |
−0.999994 | + | 0.00340007i | \(0.998918\pi\) | |||||||
\(588\) | −16.2248 | − | 3.52493i | −0.669100 | − | 0.145365i | ||||
\(589\) | 2.04220 | + | 2.81085i | 0.0841475 | + | 0.115819i | ||||
\(590\) | 2.82265 | − | 26.7615i | 0.116207 | − | 1.10175i | ||||
\(591\) | −10.0030 | + | 30.7860i | −0.411468 | + | 1.26637i | ||||
\(592\) | 2.38336 | − | 3.28042i | 0.0979557 | − | 0.134824i | ||||
\(593\) | − | 18.0520i | − | 0.741306i | −0.928771 | − | 0.370653i | \(-0.879134\pi\) | ||
0.928771 | − | 0.370653i | \(-0.120866\pi\) | |||||||
\(594\) | 2.33637 | + | 1.78928i | 0.0958623 | + | 0.0734150i | ||||
\(595\) | 2.80494 | − | 2.51235i | 0.114991 | − | 0.102996i | ||||
\(596\) | −6.72048 | + | 9.24994i | −0.275281 | + | 0.378892i | ||||
\(597\) | −13.0083 | − | 4.22666i | −0.532395 | − | 0.172986i | ||||
\(598\) | 1.46781 | + | 4.51745i | 0.0600231 | + | 0.184732i | ||||
\(599\) | −31.0302 | + | 22.5447i | −1.26786 | + | 0.921153i | −0.999115 | − | 0.0420585i | \(-0.986608\pi\) |
−0.268744 | + | 0.963212i | \(0.586608\pi\) | |||||||
\(600\) | 11.5985 | + | 2.47422i | 0.473508 | + | 0.101010i | ||||
\(601\) | −13.0875 | − | 40.2791i | −0.533849 | − | 1.64302i | −0.746122 | − | 0.665809i | \(-0.768087\pi\) |
0.212273 | − | 0.977210i | \(-0.431913\pi\) | |||||||
\(602\) | −3.50649 | − | 3.17155i | −0.142914 | − | 0.129263i | ||||
\(603\) | 10.9889 | − | 15.1249i | 0.447503 | − | 0.615935i | ||||
\(604\) | 2.03456i | 0.0827851i | ||||||||
\(605\) | −21.8990 | + | 11.1998i | −0.890320 | + | 0.455335i | ||||
\(606\) | −4.96765 | −0.201797 | ||||||||
\(607\) | −14.1598 | + | 19.4893i | −0.574728 | + | 0.791046i | −0.993105 | − | 0.117228i | \(-0.962599\pi\) |
0.418377 | + | 0.908274i | \(0.362599\pi\) | |||||||
\(608\) | 0.231172 | − | 0.711476i | 0.00937528 | − | 0.0288541i | ||||
\(609\) | 5.68502 | − | 52.9454i | 0.230369 | − | 2.14546i | ||||
\(610\) | −5.43991 | − | 25.6389i | −0.220255 | − | 1.03809i | ||||
\(611\) | 2.17032 | + | 2.98719i | 0.0878019 | + | 0.120849i | ||||
\(612\) | 1.58959 | − | 0.516489i | 0.0642554 | − | 0.0208778i | ||||
\(613\) | −7.73309 | + | 23.8000i | −0.312337 | + | 0.961273i | 0.664500 | + | 0.747288i | \(0.268644\pi\) |
−0.976837 | + | 0.213985i | \(0.931356\pi\) | |||||||
\(614\) | 11.7411 | − | 16.1602i | 0.473832 | − | 0.652174i | ||||
\(615\) | 4.84764 | − | 10.8773i | 0.195476 | − | 0.438613i | ||||
\(616\) | −7.71706 | + | 4.17696i | −0.310929 | + | 0.168295i | ||||
\(617\) | 9.96719i | 0.401264i | 0.979667 | + | 0.200632i | \(0.0642995\pi\) | ||||
−0.979667 | + | 0.200632i | \(0.935700\pi\) | |||||||
\(618\) | 18.8206 | + | 13.6740i | 0.757076 | + | 0.550048i | ||||
\(619\) | −17.5478 | − | 5.70164i | −0.705307 | − | 0.229168i | −0.0656656 | − | 0.997842i | \(-0.520917\pi\) |
−0.639641 | + | 0.768674i | \(0.720917\pi\) | |||||||
\(620\) | −1.08932 | + | 10.3278i | −0.0437481 | + | 0.414776i | ||||
\(621\) | −3.04598 | − | 4.19243i | −0.122231 | − | 0.168236i | ||||
\(622\) | 17.9668 | + | 24.7292i | 0.720404 | + | 0.991552i | ||||
\(623\) | 2.87751 | − | 26.7987i | 0.115285 | − | 1.07367i | ||||
\(624\) | −1.83463 | − | 0.596107i | −0.0734439 | − | 0.0238634i | ||||
\(625\) | 16.7554 | − | 18.5541i | 0.670217 | − | 0.742165i | ||||
\(626\) | 10.3327 | 0.412978 | ||||||||
\(627\) | 1.67672 | + | 5.64109i | 0.0669618 | + | 0.225283i | ||||
\(628\) | −4.05259 | −0.161716 | ||||||||
\(629\) | −2.08799 | − | 1.51701i | −0.0832534 | − | 0.0604872i | ||||
\(630\) | −14.2085 | + | 6.28162i | −0.566080 | + | 0.250266i | ||||
\(631\) | 7.41037 | + | 22.8068i | 0.295002 | + | 0.907924i | 0.983221 | + | 0.182420i | \(0.0583931\pi\) |
−0.688218 | + | 0.725504i | \(0.741607\pi\) | |||||||
\(632\) | −9.15919 | − | 12.6065i | −0.364333 | − | 0.501461i | ||||
\(633\) | −30.0773 | − | 41.3979i | −1.19547 | − | 1.64542i | ||||
\(634\) | −2.49090 | + | 0.809344i | −0.0989264 | + | 0.0321431i | ||||
\(635\) | 8.10159 | + | 7.30007i | 0.321502 | + | 0.289694i | ||||
\(636\) | −2.93899 | + | 4.04517i | −0.116538 | + | 0.160401i | ||||
\(637\) | 4.24781 | − | 3.79034i | 0.168304 | − | 0.150179i | ||||
\(638\) | −15.9620 | − | 23.1783i | −0.631943 | − | 0.917638i | ||||
\(639\) | −20.0017 | −0.791254 | ||||||||
\(640\) | 1.93690 | − | 1.11733i | 0.0765627 | − | 0.0441662i | ||||
\(641\) | −13.5051 | + | 41.5643i | −0.533417 | + | 1.64169i | 0.213627 | + | 0.976915i | \(0.431472\pi\) |
−0.747044 | + | 0.664775i | \(0.768528\pi\) | |||||||
\(642\) | −0.409445 | − | 1.26014i | −0.0161595 | − | 0.0497339i | ||||
\(643\) | 31.0256 | − | 22.5414i | 1.22353 | − | 0.888947i | 0.227142 | − | 0.973862i | \(-0.427062\pi\) |
0.996388 | + | 0.0849146i | \(0.0270617\pi\) | |||||||
\(644\) | 15.1217 | − | 3.17875i | 0.595879 | − | 0.125260i | ||||
\(645\) | −9.42562 | − | 0.994159i | −0.371133 | − | 0.0391450i | ||||
\(646\) | −0.452854 | − | 0.147141i | −0.0178173 | − | 0.00578919i | ||||
\(647\) | 10.9257 | + | 7.93796i | 0.429532 | + | 0.312073i | 0.781462 | − | 0.623953i | \(-0.214474\pi\) |
−0.351930 | + | 0.936026i | \(0.614474\pi\) | |||||||
\(648\) | 9.98231 | 0.392142 | ||||||||
\(649\) | 37.6370 | + | 13.2883i | 1.47738 | + | 0.521610i | ||||
\(650\) | −3.02395 | + | 2.71877i | −0.118609 | + | 0.106639i | ||||
\(651\) | −14.5161 | − | 25.2734i | −0.568929 | − | 0.990544i | ||||
\(652\) | −15.7998 | − | 5.13365i | −0.618766 | − | 0.201049i | ||||
\(653\) | 31.7819 | − | 10.3266i | 1.24372 | − | 0.404109i | 0.388054 | − | 0.921637i | \(-0.373147\pi\) |
0.855667 | + | 0.517527i | \(0.173147\pi\) | |||||||
\(654\) | −3.26931 | − | 4.49982i | −0.127840 | − | 0.175957i | ||||
\(655\) | 5.83335 | + | 27.4932i | 0.227928 | + | 1.07425i | ||||
\(656\) | −0.693842 | − | 2.13543i | −0.0270900 | − | 0.0833744i | ||||
\(657\) | −24.9633 | − | 8.11106i | −0.973911 | − | 0.316443i | ||||
\(658\) | 10.4160 | − | 5.98254i | 0.406059 | − | 0.233224i | ||||
\(659\) | − | 5.15933i | − | 0.200979i | −0.994938 | − | 0.100489i | \(-0.967959\pi\) | ||
0.994938 | − | 0.100489i | \(-0.0320409\pi\) | |||||||
\(660\) | −7.56382 | + | 15.8812i | −0.294421 | + | 0.618177i | ||||
\(661\) | 33.9879i | 1.32198i | 0.750396 | + | 0.660989i | \(0.229863\pi\) | ||||
−0.750396 | + | 0.660989i | \(0.770137\pi\) | |||||||
\(662\) | 7.81203 | + | 5.67577i | 0.303623 | + | 0.220595i | ||||
\(663\) | −0.379422 | + | 1.16774i | −0.0147355 | + | 0.0453513i | ||||
\(664\) | 7.05758 | − | 2.29315i | 0.273887 | − | 0.0889913i | ||||
\(665\) | 4.32663 | + | 0.931469i | 0.167779 | + | 0.0361208i | ||||
\(666\) | 6.25851 | + | 8.61411i | 0.242512 | + | 0.333790i | ||||
\(667\) | 15.3143 | + | 47.1325i | 0.592971 | + | 1.82498i | ||||
\(668\) | 2.69185 | + | 0.874634i | 0.104151 | + | 0.0338406i | ||||
\(669\) | 30.4218 | + | 22.1027i | 1.17617 | + | 0.854541i | ||||
\(670\) | −14.5412 | − | 6.48052i | −0.561774 | − | 0.250364i | ||||
\(671\) | 38.8628 | + | 0.981188i | 1.50028 | + | 0.0378784i | ||||
\(672\) | −2.56533 | + | 5.72717i | −0.0989596 | + | 0.220930i | ||||
\(673\) | 13.2169 | + | 9.60262i | 0.509473 | + | 0.370154i | 0.812624 | − | 0.582789i | \(-0.198039\pi\) |
−0.303151 | + | 0.952943i | \(0.598039\pi\) | |||||||
\(674\) | −6.71481 | + | 20.6661i | −0.258645 | + | 0.796027i | ||||
\(675\) | 2.22104 | − | 3.84046i | 0.0854878 | − | 0.147819i | ||||
\(676\) | −9.98211 | + | 7.25242i | −0.383927 | + | 0.278939i | ||||
\(677\) | 11.3366 | + | 15.6036i | 0.435703 | + | 0.599693i | 0.969250 | − | 0.246077i | \(-0.0791415\pi\) |
−0.533548 | + | 0.845770i | \(0.679142\pi\) | |||||||
\(678\) | −19.4782 | + | 6.32885i | −0.748056 | + | 0.243058i | ||||
\(679\) | 23.7266 | + | 21.4602i | 0.910543 | + | 0.823567i | ||||
\(680\) | −0.711177 | − | 1.23284i | −0.0272724 | − | 0.0472771i | ||||
\(681\) | 35.4035i | 1.35667i | ||||||||
\(682\) | −14.5249 | − | 5.12821i | −0.556187 | − | 0.196369i | ||||
\(683\) | 42.7262i | 1.63487i | 0.576020 | + | 0.817435i | \(0.304605\pi\) | ||||
−0.576020 | + | 0.817435i | \(0.695395\pi\) | |||||||
\(684\) | 1.58925 | + | 1.15466i | 0.0607665 | + | 0.0441494i | ||||
\(685\) | −30.7007 | + | 34.0715i | −1.17301 | + | 1.30180i | ||||
\(686\) | −10.7848 | − | 15.0562i | −0.411764 | − | 0.574848i | ||||
\(687\) | −30.2419 | − | 41.6244i | −1.15380 | − | 1.58807i | ||||
\(688\) | −1.44573 | + | 1.05039i | −0.0551181 | + | 0.0400456i | ||||
\(689\) | −0.529797 | − | 1.63055i | −0.0201837 | − | 0.0621190i | ||||
\(690\) | 20.7353 | − | 23.0120i | 0.789380 | − | 0.876051i | ||||
\(691\) | 22.0867 | − | 30.3997i | 0.840216 | − | 1.15646i | −0.145718 | − | 0.989326i | \(-0.546549\pi\) |
0.985934 | − | 0.167132i | \(-0.0534508\pi\) | |||||||
\(692\) | 20.9704i | 0.797175i | ||||||||
\(693\) | −4.16950 | − | 22.6619i | −0.158386 | − | 0.860856i | ||||
\(694\) | 7.28099 | 0.276382 | ||||||||
\(695\) | −9.94453 | + | 5.73663i | −0.377218 | + | 0.217603i | ||||
\(696\) | −19.1415 | − | 6.21944i | −0.725555 | − | 0.235747i | ||||
\(697\) | −1.35920 | + | 0.441630i | −0.0514833 | + | 0.0167279i | ||||
\(698\) | −7.96605 | + | 5.78768i | −0.301520 | + | 0.219067i | ||||
\(699\) | 49.3617 | − | 35.8634i | 1.86703 | − | 1.35648i | ||||
\(700\) | 7.74377 | + | 10.7254i | 0.292687 | + | 0.405382i | ||||
\(701\) | −9.48040 | − | 3.08037i | −0.358070 | − | 0.116344i | 0.124457 | − | 0.992225i | \(-0.460281\pi\) |
−0.482527 | + | 0.875881i | \(0.660281\pi\) | |||||||
\(702\) | −0.424160 | + | 0.583806i | −0.0160089 | + | 0.0220343i | ||||
\(703\) | − | 3.03337i | − | 0.114406i | ||||||
\(704\) | 0.944954 | + | 3.17916i | 0.0356143 | + | 0.119819i | ||||
\(705\) | 9.80194 | − | 21.9939i | 0.369163 | − | 0.828337i | ||||
\(706\) | −6.34305 | − | 4.60850i | −0.238724 | − | 0.173443i | ||||
\(707\) | −4.10958 | − | 3.71702i | −0.154557 | − | 0.139793i | ||||
\(708\) | 27.1476 | − | 8.82078i | 1.02027 | − | 0.331505i | ||||
\(709\) | 14.2703 | − | 10.3680i | 0.535932 | − | 0.389377i | −0.286640 | − | 0.958038i | \(-0.592538\pi\) |
0.822572 | + | 0.568661i | \(0.192538\pi\) | |||||||
\(710\) | 3.53510 | + | 16.6613i | 0.132670 | + | 0.625288i | ||||
\(711\) | 38.9158 | − | 12.6445i | 1.45945 | − | 0.474206i | ||||
\(712\) | −9.68857 | − | 3.14801i | −0.363094 | − | 0.117977i | ||||
\(713\) | 21.9445 | + | 15.9436i | 0.821828 | + | 0.597093i | ||||
\(714\) | 3.64534 | + | 1.63283i | 0.136424 | + | 0.0611071i | ||||
\(715\) | −2.88102 | − | 5.29895i | −0.107744 | − | 0.198170i | ||||
\(716\) | 1.27251 | 0.0475560 | ||||||||
\(717\) | 10.9288 | − | 15.0422i | 0.408144 | − | 0.561762i | ||||
\(718\) | 32.5863 | + | 10.5879i | 1.21611 | + | 0.395138i | ||||
\(719\) | −6.31619 | + | 2.05225i | −0.235554 | + | 0.0765361i | −0.424415 | − | 0.905468i | \(-0.639520\pi\) |
0.188861 | + | 0.982004i | \(0.439520\pi\) | |||||||
\(720\) | 1.21870 | + | 5.74386i | 0.0454182 | + | 0.214061i | ||||
\(721\) | 5.33819 | + | 25.3945i | 0.198804 | + | 0.945739i | ||||
\(722\) | 5.69839 | + | 17.5378i | 0.212072 | + | 0.652690i | ||||
\(723\) | −22.4125 | + | 68.9786i | −0.833530 | + | 2.56534i | ||||
\(724\) | −3.21681 | + | 4.42756i | −0.119552 | + | 0.164549i | ||||
\(725\) | −31.5502 | + | 28.3661i | −1.17174 | + | 1.05349i | ||||
\(726\) | −20.3072 | − | 16.3815i | −0.753671 | − | 0.607974i | ||||
\(727\) | −40.8132 | −1.51368 | −0.756839 | − | 0.653601i | \(-0.773258\pi\) | ||||
−0.756839 | + | 0.653601i | \(0.773258\pi\) | |||||||
\(728\) | −1.07169 | − | 1.86589i | −0.0397196 | − | 0.0691545i | ||||
\(729\) | −6.14913 | + | 18.9251i | −0.227746 | + | 0.700929i | ||||
\(730\) | −2.34446 | + | 22.2278i | −0.0867725 | + | 0.822689i | ||||
\(731\) | 0.668571 | + | 0.920209i | 0.0247280 | + | 0.0340352i | ||||
\(732\) | 22.4921 | − | 16.3415i | 0.831332 | − | 0.603998i | ||||
\(733\) | −20.9481 | + | 6.80646i | −0.773737 | + | 0.251402i | −0.669164 | − | 0.743115i | \(-0.733348\pi\) |
−0.104573 | + | 0.994517i | \(0.533348\pi\) | |||||||
\(734\) | −8.93956 | + | 27.5131i | −0.329965 | + | 1.01553i | ||||
\(735\) | −35.2529 | − | 11.6440i | −1.30032 | − | 0.429494i | ||||
\(736\) | − | 5.84039i | − | 0.215280i | ||||||
\(737\) | 14.3571 | − | 18.7469i | 0.528851 | − | 0.690552i | ||||
\(738\) | 5.89602 | 0.217036 | ||||||||
\(739\) | 15.4581 | − | 21.2762i | 0.568635 | − | 0.782659i | −0.423757 | − | 0.905776i | \(-0.639289\pi\) |
0.992392 | + | 0.123117i | \(0.0392891\pi\) | |||||||
\(740\) | 6.06938 | − | 6.73577i | 0.223115 | − | 0.247612i | ||||
\(741\) | −1.37247 | + | 0.445941i | −0.0504188 | + | 0.0163821i | ||||
\(742\) | −5.45811 | + | 1.14735i | −0.200373 | + | 0.0421206i | ||||
\(743\) | 42.4776 | − | 30.8618i | 1.55835 | − | 1.13221i | 0.621005 | − | 0.783806i | \(-0.286725\pi\) |
0.937345 | − | 0.348402i | \(-0.113275\pi\) | |||||||
\(744\) | −10.4768 | + | 3.40412i | −0.384099 | + | 0.124801i | ||||
\(745\) | −17.1141 | + | 18.9931i | −0.627012 | + | 0.695855i | ||||
\(746\) | −20.8333 | − | 15.1363i | −0.762762 | − | 0.554179i | ||||
\(747\) | 19.4863i | 0.712967i | ||||||||
\(748\) | 2.02353 | − | 0.601463i | 0.0739877 | − | 0.0219917i | ||||
\(749\) | 0.604175 | − | 1.34884i | 0.0220761 | − | 0.0492855i | ||||
\(750\) | 25.2117 | + | 8.22240i | 0.920602 | + | 0.300239i | ||||
\(751\) | −0.953302 | + | 2.93396i | −0.0347865 | + | 0.107062i | −0.966942 | − | 0.254996i | \(-0.917926\pi\) |
0.932156 | + | 0.362058i | \(0.117926\pi\) | |||||||
\(752\) | −1.40295 | − | 4.31784i | −0.0511604 | − | 0.157456i | ||||
\(753\) | 5.44545 | + | 7.49502i | 0.198443 | + | 0.273134i | ||||
\(754\) | 5.58309 | − | 4.05635i | 0.203324 | − | 0.147724i | ||||
\(755\) | −0.477199 | + | 4.52432i | −0.0173670 | + | 0.164657i | ||||
\(756\) | 1.74104 | + | 1.57473i | 0.0633210 | + | 0.0572724i | ||||
\(757\) | −18.8592 | + | 25.9575i | −0.685450 | + | 0.943440i | −0.999983 | − | 0.00580602i | \(-0.998152\pi\) |
0.314534 | + | 0.949246i | \(0.398152\pi\) | |||||||
\(758\) | −11.5492 | −0.419487 | ||||||||
\(759\) | 26.0588 | + | 37.8398i | 0.945875 | + | 1.37350i | ||||
\(760\) | 0.680940 | − | 1.52791i | 0.0247003 | − | 0.0554232i | ||||
\(761\) | 20.1886 | + | 14.6679i | 0.731836 | + | 0.531710i | 0.890144 | − | 0.455680i | \(-0.150604\pi\) |
−0.158308 | + | 0.987390i | \(0.550604\pi\) | |||||||
\(762\) | −3.57465 | + | 11.0016i | −0.129496 | + | 0.398548i | ||||
\(763\) | 0.662376 | − | 6.16880i | 0.0239796 | − | 0.223326i | ||||
\(764\) | 7.22468 | − | 5.24904i | 0.261380 | − | 0.189904i | ||||
\(765\) | 3.65597 | − | 0.775701i | 0.132182 | − | 0.0280455i | ||||
\(766\) | −2.68639 | − | 8.26786i | −0.0970633 | − | 0.298730i | ||||
\(767\) | −3.02451 | + | 9.30850i | −0.109209 | + | 0.336110i | ||||
\(768\) | 1.91891 | + | 1.39417i | 0.0692426 | + | 0.0503077i | ||||
\(769\) | 4.84628 | 0.174761 | 0.0873807 | − | 0.996175i | \(-0.472150\pi\) | ||||
0.0873807 | + | 0.996175i | \(0.472150\pi\) | |||||||
\(770\) | −18.1404 | + | 7.47844i | −0.653733 | + | 0.269504i | ||||
\(771\) | 46.5702 | 1.67718 | ||||||||
\(772\) | 17.0889 | + | 12.4158i | 0.615042 | + | 0.446854i | ||||
\(773\) | −4.04957 | + | 12.4633i | −0.145653 | + | 0.448274i | −0.997094 | − | 0.0761761i | \(-0.975729\pi\) |
0.851441 | + | 0.524450i | \(0.175729\pi\) | |||||||
\(774\) | −1.45009 | − | 4.46291i | −0.0521223 | − | 0.160416i | ||||
\(775\) | −4.84471 | + | 22.7108i | −0.174027 | + | 0.815797i | ||||
\(776\) | 9.78252 | − | 7.10742i | 0.351172 | − | 0.255141i | ||||
\(777\) | −2.71664 | + | 25.3004i | −0.0974589 | + | 0.907648i | ||||
\(778\) | 8.02071 | − | 24.6852i | 0.287556 | − | 0.885008i | ||||
\(779\) | −1.35891 | − | 0.987304i | −0.0486879 | − | 0.0353738i | ||||
\(780\) | −3.93991 | − | 1.75589i | −0.141071 | − | 0.0628709i | ||||
\(781\) | −25.2548 | − | 0.637620i | −0.903687 | − | 0.0228159i | ||||
\(782\) | −3.71741 | −0.132934 | ||||||||
\(783\) | −4.42544 | + | 6.09110i | −0.158152 | + | 0.217678i | ||||
\(784\) | −6.40754 | + | 2.81841i | −0.228841 | + | 0.100657i | ||||
\(785\) | −9.01189 | − | 0.950521i | −0.321648 | − | 0.0339256i | ||||
\(786\) | −24.1188 | + | 17.5234i | −0.860291 | + | 0.625038i | ||||
\(787\) | 6.18071 | + | 8.50701i | 0.220318 | + | 0.303242i | 0.904841 | − | 0.425749i | \(-0.139989\pi\) |
−0.684523 | + | 0.728991i | \(0.739989\pi\) | |||||||
\(788\) | 4.21728 | + | 12.9795i | 0.150235 | + | 0.462374i | ||||
\(789\) | 14.2119 | − | 43.7398i | 0.505958 | − | 1.55718i | ||||
\(790\) | −17.4108 | − | 30.1818i | −0.619447 | − | 1.07382i | ||||
\(791\) | −20.8492 | − | 9.33882i | −0.741313 | − | 0.332050i | ||||
\(792\) | −8.70640 | − | 0.219815i | −0.309369 | − | 0.00781078i | ||||
\(793\) | 9.53281i | 0.338520i | ||||||||
\(794\) | −13.4839 | − | 9.79665i | −0.478527 | − | 0.347670i | ||||
\(795\) | −7.48430 | + | 8.30605i | −0.265441 | + | 0.294585i | ||||
\(796\) | −5.48434 | + | 1.78197i | −0.194387 | + | 0.0631603i | ||||
\(797\) | 11.5044 | − | 8.35841i | 0.407505 | − | 0.296070i | −0.365086 | − | 0.930974i | \(-0.618960\pi\) |
0.772591 | + | 0.634904i | \(0.218960\pi\) | |||||||
\(798\) | 0.965750 | + | 4.59420i | 0.0341872 | + | 0.162633i | ||||
\(799\) | −2.74831 | + | 0.892978i | −0.0972280 | + | 0.0315913i | ||||
\(800\) | 4.56921 | − | 2.03034i | 0.161546 | − | 0.0717834i | ||||
\(801\) | 15.7236 | − | 21.6417i | 0.555567 | − | 0.764673i | ||||
\(802\) | 21.7066 | 0.766488 | ||||||||
\(803\) | −31.2609 | − | 11.0371i | −1.10317 | − | 0.389490i | ||||
\(804\) | − | 16.8870i | − | 0.595557i | ||||||
\(805\) | 34.3722 | − | 3.52194i | 1.21146 | − | 0.124132i | ||||
\(806\) | 1.16722 | − | 3.59234i | 0.0411137 | − | 0.126535i | ||||
\(807\) | 67.0983 | − | 21.8016i | 2.36197 | − | 0.767451i | ||||
\(808\) | −1.69439 | + | 1.23104i | −0.0596083 | + | 0.0433080i | ||||
\(809\) | −2.58009 | − | 3.55118i | −0.0907110 | − | 0.124853i | 0.761249 | − | 0.648459i | \(-0.224586\pi\) |
−0.851960 | + | 0.523606i | \(0.824586\pi\) | |||||||
\(810\) | 22.1980 | + | 2.34132i | 0.779958 | + | 0.0822654i | ||||
\(811\) | 7.15686 | − | 22.0265i | 0.251311 | − | 0.773457i | −0.743223 | − | 0.669044i | \(-0.766704\pi\) |
0.994534 | − | 0.104413i | \(-0.0332962\pi\) | |||||||
\(812\) | −11.1814 | − | 19.4676i | −0.392391 | − | 0.683180i | ||||
\(813\) | 4.70621 | 0.165054 | ||||||||
\(814\) | 7.62760 | + | 11.0760i | 0.267347 | + | 0.388212i | ||||
\(815\) | −33.9304 | − | 15.1217i | −1.18853 | − | 0.529688i | ||||
\(816\) | 0.887388 | − | 1.22138i | 0.0310648 | − | 0.0427570i | ||||
\(817\) | −0.413111 | + | 1.27142i | −0.0144529 | + | 0.0444815i | ||||
\(818\) | 0.270621 | + | 0.832887i | 0.00946206 | + | 0.0291212i | ||||
\(819\) | 5.52949 | − | 1.16236i | 0.193216 | − | 0.0406161i | ||||
\(820\) | −1.04206 | − | 4.91136i | −0.0363904 | − | 0.171512i | ||||
\(821\) | −38.6154 | + | 12.5469i | −1.34769 | + | 0.437889i | −0.891913 | − | 0.452207i | \(-0.850637\pi\) |
−0.455772 | + | 0.890096i | \(0.650637\pi\) | |||||||
\(822\) | −46.2678 | − | 15.0333i | −1.61377 | − | 0.524347i | ||||
\(823\) | −8.28599 | + | 11.4047i | −0.288832 | + | 0.397543i | −0.928634 | − | 0.370997i | \(-0.879016\pi\) |
0.639803 | + | 0.768539i | \(0.279016\pi\) | |||||||
\(824\) | 9.80798 | 0.341677 | ||||||||
\(825\) | −20.5448 | + | 33.5416i | −0.715278 | + | 1.16777i | ||||
\(826\) | 29.0584 | + | 13.0159i | 1.01107 | + | 0.452881i | ||||
\(827\) | 21.2902 | + | 15.4682i | 0.740333 | + | 0.537883i | 0.892815 | − | 0.450423i | \(-0.148727\pi\) |
−0.152482 | + | 0.988306i | \(0.548727\pi\) | |||||||
\(828\) | 14.5858 | + | 4.73920i | 0.506890 | + | 0.164699i | ||||
\(829\) | 18.8039 | − | 6.10975i | 0.653086 | − | 0.212201i | 0.0363117 | − | 0.999341i | \(-0.488439\pi\) |
0.616774 | + | 0.787140i | \(0.288439\pi\) | |||||||
\(830\) | 16.2320 | − | 3.44401i | 0.563421 | − | 0.119543i | ||||
\(831\) | −42.3898 | + | 30.7980i | −1.47049 | + | 1.06837i | ||||
\(832\) | −0.773484 | + | 0.251320i | −0.0268157 | + | 0.00871296i | ||||
\(833\) | 1.79392 | + | 4.07840i | 0.0621555 | + | 0.141308i | ||||
\(834\) | −9.85216 | − | 7.15801i | −0.341152 | − | 0.247862i | ||||
\(835\) | 5.78080 | + | 2.57631i | 0.200053 | + | 0.0891570i | ||||
\(836\) | 1.96983 | + | 1.50857i | 0.0681280 | + | 0.0521750i | ||||
\(837\) | 4.12090i | 0.142439i | ||||||||
\(838\) | −8.18572 | + | 11.2667i | −0.282771 | + | 0.389201i | ||||
\(839\) | 31.2076 | + | 10.1400i | 1.07741 | + | 0.350071i | 0.793368 | − | 0.608742i | \(-0.208325\pi\) |
0.284039 | + | 0.958813i | \(0.408325\pi\) | |||||||
\(840\) | −7.04789 | + | 12.1340i | −0.243175 | + | 0.418663i | ||||
\(841\) | 34.7893 | − | 25.2759i | 1.19963 | − | 0.871583i | ||||
\(842\) | −14.1600 | + | 10.2879i | −0.487987 | + | 0.354543i | ||||
\(843\) | 55.6946 | − | 18.0963i | 1.91822 | − | 0.623268i | ||||
\(844\) | −20.5178 | − | 6.66663i | −0.706251 | − | 0.229475i | ||||
\(845\) | −23.8986 | + | 13.7862i | −0.822136 | + | 0.474259i | ||||
\(846\) | 11.9218 | 0.409879 | ||||||||
\(847\) | −4.54212 | − | 28.7466i | −0.156069 | − | 0.987746i | ||||
\(848\) | 2.10806i | 0.0723910i | ||||||||
\(849\) | −28.5275 | + | 39.2648i | −0.979062 | + | 1.34756i | ||||
\(850\) | −1.29231 | − | 2.90830i | −0.0443259 | − | 0.0997540i | ||||
\(851\) | −7.31806 | − | 22.5227i | −0.250860 | − | 0.772067i | ||||
\(852\) | −14.6164 | + | 10.6194i | −0.500749 | + | 0.363816i | ||||
\(853\) | 12.0566 | + | 16.5945i | 0.412811 | + | 0.568185i | 0.963901 | − | 0.266260i | \(-0.0857881\pi\) |
−0.551090 | + | 0.834445i | \(0.685788\pi\) | |||||||
\(854\) | 30.8344 | + | 3.31085i | 1.05513 | + | 0.113295i | ||||
\(855\) | 3.26325 | + | 2.94040i | 0.111601 | + | 0.100560i | ||||
\(856\) | −0.451933 | − | 0.328349i | −0.0154468 | − | 0.0112227i | ||||
\(857\) | − | 5.95852i | − | 0.203539i | −0.994808 | − | 0.101770i | \(-0.967550\pi\) | ||
0.994808 | − | 0.101770i | \(-0.0324504\pi\) | |||||||
\(858\) | 3.89004 | − | 5.07945i | 0.132804 | − | 0.173410i | ||||
\(859\) | − | 44.9124i | − | 1.53239i | −0.642607 | − | 0.766196i | \(-0.722147\pi\) | ||
0.642607 | − | 0.766196i | \(-0.277853\pi\) | |||||||
\(860\) | −3.46129 | + | 1.99669i | −0.118029 | + | 0.0680865i | ||||
\(861\) | 10.4500 | + | 9.45182i | 0.356136 | + | 0.322117i | ||||
\(862\) | 3.98852 | − | 1.29595i | 0.135849 | − | 0.0441402i | ||||
\(863\) | 15.0350 | + | 20.6939i | 0.511798 | + | 0.704430i | 0.984221 | − | 0.176942i | \(-0.0566205\pi\) |
−0.472423 | + | 0.881372i | \(0.656620\pi\) | |||||||
\(864\) | 0.717833 | − | 0.521536i | 0.0244212 | − | 0.0177430i | ||||
\(865\) | −4.91853 | + | 46.6325i | −0.167235 | + | 1.58555i | ||||
\(866\) | −3.34165 | + | 10.2845i | −0.113554 | + | 0.349483i | ||||
\(867\) | 31.8440 | + | 23.1360i | 1.08148 | + | 0.785741i | ||||
\(868\) | −11.2142 | − | 5.02311i | −0.380636 | − | 0.170495i | ||||
\(869\) | 49.5394 | − | 14.7248i | 1.68051 | − | 0.499504i | ||||
\(870\) | −41.1067 | − | 18.3199i | −1.39365 | − | 0.621104i | ||||
\(871\) | 4.68444 | + | 3.40344i | 0.158726 | + | 0.115321i | ||||
\(872\) | −2.23022 | − | 0.724642i | −0.0755247 | − | 0.0245395i | ||||
\(873\) | 9.81197 | + | 30.1981i | 0.332085 | + | 1.02205i | ||||
\(874\) | −2.56811 | − | 3.53471i | −0.0868677 | − | 0.119563i | ||||
\(875\) | 14.7045 | + | 25.6667i | 0.497102 | + | 0.867692i | ||||
\(876\) | −22.5485 | + | 7.32645i | −0.761843 | + | 0.247538i | ||||
\(877\) | 10.5701 | − | 32.5315i | 0.356928 | − | 1.09851i | −0.597955 | − | 0.801529i | \(-0.704020\pi\) |
0.954883 | − | 0.296982i | \(-0.0959800\pi\) | |||||||
\(878\) | 5.59500 | + | 4.06500i | 0.188822 | + | 0.137187i | ||||
\(879\) | − | 33.2140i | − | 1.12028i | ||||||
\(880\) | 1.35567 | + | 7.29124i | 0.0456995 | + | 0.245788i | ||||
\(881\) | 9.77926i | 0.329472i | 0.986338 | + | 0.164736i | \(0.0526772\pi\) | ||||
−0.986338 | + | 0.164736i | \(0.947323\pi\) | |||||||
\(882\) | −1.83926 | − | 18.2892i | −0.0619311 | − | 0.615828i | ||||
\(883\) | −18.7762 | − | 6.10076i | −0.631870 | − | 0.205307i | −0.0244668 | − | 0.999701i | \(-0.507789\pi\) |
−0.607403 | + | 0.794394i | \(0.707789\pi\) | |||||||
\(884\) | 0.159965 | + | 0.492322i | 0.00538021 | + | 0.0165586i | ||||
\(885\) | 62.4378 | − | 13.2477i | 2.09883 | − | 0.445317i | ||||
\(886\) | 12.7993 | + | 17.6168i | 0.430002 | + | 0.591847i | ||||
\(887\) | 6.27723 | − | 2.03960i | 0.210769 | − | 0.0684829i | −0.201730 | − | 0.979441i | \(-0.564656\pi\) |
0.412498 | + | 0.910958i | \(0.364656\pi\) | |||||||
\(888\) | 9.14692 | + | 2.97201i | 0.306950 | + | 0.0997342i | ||||
\(889\) | −11.1891 | + | 6.42658i | −0.375271 | + | 0.215541i | ||||
\(890\) | −20.8064 | − | 9.27275i | −0.697433 | − | 0.310823i | ||||
\(891\) | −11.0223 | + | 31.2189i | −0.369260 | + | 1.04587i | ||||
\(892\) | 15.8537 | 0.530821 | ||||||||
\(893\) | −2.74772 | − | 1.99633i | −0.0919488 | − | 0.0668047i | ||||
\(894\) | −25.7920 | − | 8.38032i | −0.862612 | − | 0.280280i | ||||
\(895\) | 2.82973 | + | 0.298463i | 0.0945874 | + | 0.00997653i | ||||
\(896\) | 0.544270 | + | 2.58916i | 0.0181828 | + | 0.0864979i | ||||
\(897\) | −9.11467 | + | 6.62220i | −0.304330 | + | 0.221109i | ||||
\(898\) | −6.57283 | − | 20.2291i | −0.219338 | − | 0.675054i | ||||
\(899\) | 12.1781 | − | 37.4805i | 0.406164 | − | 1.25004i | ||||
\(900\) | 1.36286 | + | 13.0587i | 0.0454287 | + | 0.435288i | ||||
\(901\) | 1.34178 | 0.0447011 | ||||||||
\(902\) | 7.44451 | + | 0.187955i | 0.247875 | + | 0.00625823i | ||||
\(903\) | 4.58430 | − | 10.2346i | 0.152556 | − | 0.340586i | ||||
\(904\) | −5.07533 | + | 6.98560i | −0.168803 | + | 0.232338i | ||||
\(905\) | −8.19179 | + | 9.09121i | −0.272304 | + | 0.302202i | ||||
\(906\) | −4.58959 | + | 1.49125i | −0.152479 | + | 0.0495434i | ||||
\(907\) | 13.9955 | + | 19.2631i | 0.464712 | + | 0.639621i | 0.975477 | − | 0.220099i | \(-0.0706381\pi\) |
−0.510766 | + | 0.859720i | \(0.670638\pi\) | |||||||
\(908\) | 8.77341 | + | 12.0756i | 0.291156 | + | 0.400742i | ||||
\(909\) | −1.69949 | − | 5.23048i | −0.0563684 | − | 0.173484i | ||||
\(910\) | −1.94552 | − | 4.40061i | −0.0644934 | − | 0.145879i | ||||
\(911\) | −27.3592 | − | 19.8776i | −0.906450 | − | 0.658575i | 0.0336643 | − | 0.999433i | \(-0.489282\pi\) |
−0.940115 | + | 0.340858i | \(0.889282\pi\) | |||||||
\(912\) | 1.77440 | 0.0587561 | ||||||||
\(913\) | −0.621192 | + | 24.6041i | −0.0205584 | + | 0.814276i | ||||
\(914\) | −8.54102 | −0.282512 | ||||||||
\(915\) | 53.8493 | − | 31.0636i | 1.78020 | − | 1.02693i | ||||
\(916\) | −20.6300 | − | 6.70311i | −0.681636 | − | 0.221477i | ||||
\(917\) | −33.0645 | − | 3.55031i | −1.09189 | − | 0.117241i | ||||
\(918\) | −0.331958 | − | 0.456901i | −0.0109562 | − | 0.0150800i | ||||
\(919\) | 0.912890 | + | 1.25649i | 0.0301135 | + | 0.0414476i | 0.823808 | − | 0.566869i | \(-0.191845\pi\) |
−0.793695 | + | 0.608316i | \(0.791845\pi\) | |||||||
\(920\) | 1.36984 | − | 12.9875i | 0.0451624 | − | 0.428184i | ||||
\(921\) | 45.0602 | + | 14.6409i | 1.48478 | + | 0.482435i | ||||
\(922\) | −10.7519 | − | 7.81168i | −0.354093 | − | 0.257264i | ||||
\(923\) | − | 6.19485i | − | 0.203906i | ||||||
\(924\) | −15.0787 | − | 14.3467i | −0.496053 | − | 0.471972i | ||||
\(925\) | 15.0765 | − | 13.5550i | 0.495713 | − | 0.445686i | ||||
\(926\) | 13.4322 | − | 18.4878i | 0.441408 | − | 0.607546i | ||||
\(927\) | −7.95871 | + | 24.4944i | −0.261398 | + | 0.804501i | ||||
\(928\) | −8.07009 | + | 2.62213i | −0.264914 | + | 0.0860757i | ||||
\(929\) | 11.0375 | + | 15.1919i | 0.362130 | + | 0.498430i | 0.950741 | − | 0.309987i | \(-0.100325\pi\) |
−0.588610 | + | 0.808417i | \(0.700325\pi\) | |||||||
\(930\) | −24.0961 | + | 5.11256i | −0.790141 | + | 0.167648i | ||||
\(931\) | −2.63866 | + | 4.52325i | −0.0864784 | + | 0.148243i | ||||
\(932\) | 7.94910 | − | 24.4648i | 0.260381 | − | 0.801372i | ||||
\(933\) | −42.6156 | + | 58.6553i | −1.39517 | + | 1.92029i | ||||
\(934\) | 26.1046 | 0.854169 | ||||||||
\(935\) | 4.64087 | − | 0.862880i | 0.151773 | − | 0.0282192i | ||||
\(936\) | − | 2.13563i | − | 0.0698052i | ||||||
\(937\) | −0.385609 | + | 0.530745i | −0.0125973 | + | 0.0173387i | −0.815269 | − | 0.579082i | \(-0.803411\pi\) |
0.802672 | + | 0.596421i | \(0.203411\pi\) | |||||||
\(938\) | 12.6356 | − | 13.9700i | 0.412567 | − | 0.456138i | ||||
\(939\) | 7.57343 | + | 23.3086i | 0.247150 | + | 0.760648i | ||||
\(940\) | −2.10706 | − | 9.93079i | −0.0687246 | − | 0.323907i | ||||
\(941\) | −11.9922 | + | 8.71286i | −0.390935 | + | 0.284031i | −0.765839 | − | 0.643033i | \(-0.777676\pi\) |
0.374903 | + | 0.927064i | \(0.377676\pi\) | |||||||
\(942\) | −2.97038 | − | 9.14189i | −0.0967802 | − | 0.297859i | ||||
\(943\) | −12.4717 | − | 4.05231i | −0.406135 | − | 0.131961i | ||||
\(944\) | 7.07370 | − | 9.73612i | 0.230229 | − | 0.316884i | ||||
\(945\) | 3.50226 | + | 3.91014i | 0.113928 | + | 0.127197i | ||||
\(946\) | −1.68866 | − | 5.68124i | −0.0549030 | − | 0.184713i | ||||
\(947\) | 5.22856i | 0.169905i | 0.996385 | + | 0.0849527i | \(0.0270739\pi\) | ||||
−0.996385 | + | 0.0849527i | \(0.972926\pi\) | |||||||
\(948\) | 21.7247 | − | 29.9015i | 0.705585 | − | 0.971155i | ||||
\(949\) | 2.51213 | − | 7.73154i | 0.0815472 | − | 0.250976i | ||||
\(950\) | 1.87259 | − | 3.23795i | 0.0607550 | − | 0.105053i | ||||
\(951\) | −3.65145 | − | 5.02580i | −0.118407 | − | 0.162973i | ||||
\(952\) | 1.64800 | − | 0.346428i | 0.0534120 | − | 0.0112278i | ||||
\(953\) | −15.8323 | − | 48.7268i | −0.512859 | − | 1.57842i | −0.787144 | − | 0.616769i | \(-0.788441\pi\) |
0.274286 | − | 0.961648i | \(-0.411559\pi\) | |||||||
\(954\) | −5.26465 | − | 1.71059i | −0.170449 | − | 0.0553823i | ||||
\(955\) | 17.2969 | − | 9.97794i | 0.559715 | − | 0.322879i | ||||
\(956\) | − | 7.83894i | − | 0.253529i | ||||||
\(957\) | 40.5864 | − | 52.9961i | 1.31197 | − | 1.71312i | ||||
\(958\) | 13.5689 | 0.438392 | ||||||||
\(959\) | −27.0272 | − | 47.0562i | −0.872754 | − | 1.51952i | ||||
\(960\) | 3.94014 | + | 3.55033i | 0.127168 | + | 0.114586i | ||||
\(961\) | 2.91399 | + | 8.96834i | 0.0939996 | + | 0.289301i | ||||
\(962\) | −2.66793 | + | 1.93836i | −0.0860175 | + | 0.0624954i | ||||
\(963\) | 1.18674 | − | 0.862216i | 0.0382421 | − | 0.0277845i | ||||
\(964\) | 9.44917 | + | 29.0816i | 0.304337 | + | 0.936654i | ||||
\(965\) | 35.0890 | + | 31.6175i | 1.12956 | + | 1.01780i | ||||
\(966\) | 18.2542 | + | 31.7819i | 0.587321 | + | 1.02257i | ||||
\(967\) | 7.57412 | 0.243567 | 0.121784 | − | 0.992557i | \(-0.461139\pi\) | ||||
0.121784 | + | 0.992557i | \(0.461139\pi\) | |||||||
\(968\) | −10.9860 | − | 0.555091i | −0.353103 | − | 0.0178413i | ||||
\(969\) | − | 1.12940i | − | 0.0362816i | ||||||
\(970\) | 23.4207 | − | 13.5105i | 0.751994 | − | 0.433797i | ||||
\(971\) | −16.2356 | − | 5.27526i | −0.521025 | − | 0.169291i | 0.0366854 | − | 0.999327i | \(-0.488320\pi\) |
−0.557710 | + | 0.830036i | \(0.688320\pi\) | |||||||
\(972\) | 6.49405 | + | 19.9866i | 0.208297 | + | 0.641072i | ||||
\(973\) | −2.79442 | − | 13.2934i | −0.0895849 | − | 0.426167i | ||||
\(974\) | −15.4804 | − | 21.3069i | −0.496023 | − | 0.682717i | ||||
\(975\) | −8.34947 | − | 4.82872i | −0.267397 | − | 0.154643i | ||||
\(976\) | 3.62208 | − | 11.1476i | 0.115940 | − | 0.356827i | ||||
\(977\) | 5.94436 | − | 8.18171i | 0.190177 | − | 0.261756i | −0.703272 | − | 0.710921i | \(-0.748278\pi\) |
0.893449 | + | 0.449165i | \(0.148278\pi\) | |||||||
\(978\) | − | 39.4040i | − | 1.26000i | ||||||
\(979\) | 20.5431 | − | 26.8243i | 0.656560 | − | 0.857309i | ||||
\(980\) | −14.9097 | + | 4.76452i | −0.476273 | + | 0.152197i | ||||
\(981\) | 3.61943 | − | 4.98172i | 0.115560 | − | 0.159054i | ||||
\(982\) | 28.3233 | + | 9.20280i | 0.903833 | + | 0.293673i | ||||
\(983\) | −14.0688 | − | 43.2993i | −0.448725 | − | 1.38103i | −0.878347 | − | 0.478023i | \(-0.841353\pi\) |
0.429623 | − | 0.903009i | \(-0.358647\pi\) | |||||||
\(984\) | 4.30856 | − | 3.13036i | 0.137352 | − | 0.0997921i | ||||
\(985\) | 6.33383 | + | 29.8520i | 0.201812 | + | 0.951164i | ||||
\(986\) | 1.66899 | + | 5.13661i | 0.0531513 | + | 0.163583i | ||||
\(987\) | 21.1300 | + | 19.1116i | 0.672575 | + | 0.608330i | ||||
\(988\) | −0.357616 | + | 0.492217i | −0.0113773 | + | 0.0156595i | ||||
\(989\) | 10.4369i | 0.331875i | ||||||||
\(990\) | −19.3092 | − | 2.53086i | −0.613685 | − | 0.0804362i | ||||
\(991\) | −39.4532 | −1.25327 | −0.626635 | − | 0.779313i | \(-0.715568\pi\) | ||||
−0.626635 | + | 0.779313i | \(0.715568\pi\) | |||||||
\(992\) | −2.72989 | + | 3.75737i | −0.0866741 | + | 0.119297i | ||||
\(993\) | −7.07758 | + | 21.7826i | −0.224600 | + | 0.691249i | ||||
\(994\) | −20.0376 | − | 2.15154i | −0.635554 | − | 0.0682427i | ||||
\(995\) | −12.6137 | + | 2.67629i | −0.399880 | + | 0.0848442i | ||||
\(996\) | 10.3458 | + | 14.2398i | 0.327820 | + | 0.451205i | ||||
\(997\) | −12.6405 | + | 4.10714i | −0.400328 | + | 0.130074i | −0.502259 | − | 0.864717i | \(-0.667498\pi\) |
0.101932 | + | 0.994791i | \(0.467498\pi\) | |||||||
\(998\) | 4.08584 | − | 12.5749i | 0.129335 | − | 0.398052i | ||||
\(999\) | 2.11474 | − | 2.91069i | 0.0669073 | − | 0.0920900i |
(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 | 770.2.w.b.139.4 | yes | 96 | |
5.4 | even | 2 | 770.2.w.a.139.21 | yes | 96 | ||
7.6 | odd | 2 | inner | 770.2.w.b.139.21 | yes | 96 | |
11.8 | odd | 10 | 770.2.w.a.349.4 | yes | 96 | ||
35.34 | odd | 2 | 770.2.w.a.139.4 | ✓ | 96 | ||
55.19 | odd | 10 | inner | 770.2.w.b.349.21 | yes | 96 | |
77.41 | even | 10 | 770.2.w.a.349.21 | yes | 96 | ||
385.349 | even | 10 | inner | 770.2.w.b.349.4 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.w.a.139.4 | ✓ | 96 | 35.34 | odd | 2 | ||
770.2.w.a.139.21 | yes | 96 | 5.4 | even | 2 | ||
770.2.w.a.349.4 | yes | 96 | 11.8 | odd | 10 | ||
770.2.w.a.349.21 | yes | 96 | 77.41 | even | 10 | ||
770.2.w.b.139.4 | yes | 96 | 1.1 | even | 1 | trivial | |
770.2.w.b.139.21 | yes | 96 | 7.6 | odd | 2 | inner | |
770.2.w.b.349.4 | yes | 96 | 385.349 | even | 10 | inner | |
770.2.w.b.349.21 | yes | 96 | 55.19 | odd | 10 | inner |