Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [242,2,Mod(5,242)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(242, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([74]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("242.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 242 = 2 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 242.g (of order \(55\), degree \(40\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.93237972891\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 15.4 | ||
Character | \(\chi\) | \(=\) | 242.15 |
Dual form | 242.2.g.b.113.4 |
$q$-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 \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).
\(n\) | \(123\) |
\(\chi(n)\) | \(e\left(\frac{26}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0855750 | + | 0.996332i | 0.0605107 | + | 0.704513i | ||||
\(3\) | 0.416363 | − | 1.28143i | 0.240387 | − | 0.739836i | −0.755974 | − | 0.654602i | \(-0.772836\pi\) |
0.996361 | − | 0.0852341i | \(-0.0271638\pi\) | |||||||
\(4\) | −0.985354 | + | 0.170522i | −0.492677 | + | 0.0852611i | ||||
\(5\) | 0.325006 | − | 0.0185845i | 0.145347 | − | 0.00831125i | 0.0157362 | − | 0.999876i | \(-0.494991\pi\) |
0.129611 | + | 0.991565i | \(0.458627\pi\) | |||||||
\(6\) | 1.31236 | + | 0.305177i | 0.535770 | + | 0.124588i | ||||
\(7\) | 0.546419 | + | 0.799112i | 0.206527 | + | 0.302036i | 0.914804 | − | 0.403899i | \(-0.132345\pi\) |
−0.708277 | + | 0.705935i | \(0.750527\pi\) | |||||||
\(8\) | −0.254218 | − | 0.967147i | −0.0898798 | − | 0.341938i | ||||
\(9\) | 0.958336 | + | 0.696272i | 0.319445 | + | 0.232091i | ||||
\(10\) | 0.0463288 | + | 0.322224i | 0.0146504 | + | 0.101896i | ||||
\(11\) | 2.67377 | + | 1.96238i | 0.806172 | + | 0.591681i | ||||
\(12\) | −0.191752 | + | 1.33367i | −0.0553541 | + | 0.384996i | ||||
\(13\) | 4.53340 | − | 4.66475i | 1.25734 | − | 1.29377i | 0.319125 | − | 0.947713i | \(-0.396611\pi\) |
0.938213 | − | 0.346057i | \(-0.112480\pi\) | |||||||
\(14\) | −0.749421 | + | 0.612799i | −0.200291 | + | 0.163777i | ||||
\(15\) | 0.111506 | − | 0.424212i | 0.0287907 | − | 0.109531i | ||||
\(16\) | 0.941844 | − | 0.336049i | 0.235461 | − | 0.0840123i | ||||
\(17\) | −1.44440 | − | 0.815688i | −0.350318 | − | 0.197833i | 0.306522 | − | 0.951863i | \(-0.400835\pi\) |
−0.656840 | + | 0.754030i | \(0.728107\pi\) | |||||||
\(18\) | −0.611708 | + | 1.01440i | −0.144181 | + | 0.239097i | ||||
\(19\) | 0.0647128 | + | 0.0593928i | 0.0148461 | + | 0.0136257i | 0.683564 | − | 0.729891i | \(-0.260429\pi\) |
−0.668718 | + | 0.743517i | \(0.733156\pi\) | |||||||
\(20\) | −0.317077 | + | 0.0737331i | −0.0709006 | + | 0.0164872i | ||||
\(21\) | 1.25152 | − | 0.367479i | 0.273104 | − | 0.0801905i | ||||
\(22\) | −1.72638 | + | 2.83189i | −0.368065 | + | 0.603762i | ||||
\(23\) | 1.19815 | + | 0.351810i | 0.249832 | + | 0.0733574i | 0.404251 | − | 0.914648i | \(-0.367532\pi\) |
−0.154419 | + | 0.988006i | \(0.549350\pi\) | |||||||
\(24\) | −1.34518 | − | 0.0769203i | −0.274584 | − | 0.0157013i | ||||
\(25\) | −4.86213 | + | 0.557877i | −0.972425 | + | 0.111575i | ||||
\(26\) | 5.03559 | + | 4.11758i | 0.987560 | + | 0.807524i | ||||
\(27\) | 4.56140 | − | 3.31405i | 0.877842 | − | 0.637790i | ||||
\(28\) | −0.674682 | − | 0.694232i | −0.127503 | − | 0.131197i | ||||
\(29\) | −8.93831 | − | 1.02558i | −1.65980 | − | 0.190445i | −0.767238 | − | 0.641363i | \(-0.778369\pi\) |
−0.892565 | + | 0.450918i | \(0.851097\pi\) | |||||||
\(30\) | 0.432198 | + | 0.0747948i | 0.0789082 | + | 0.0136556i | ||||
\(31\) | −3.32586 | + | 6.30321i | −0.597342 | + | 1.13209i | 0.380898 | + | 0.924617i | \(0.375615\pi\) |
−0.978241 | + | 0.207473i | \(0.933476\pi\) | |||||||
\(32\) | 0.415415 | + | 0.909632i | 0.0734357 | + | 0.160802i | ||||
\(33\) | 3.62793 | − | 2.60920i | 0.631541 | − | 0.454203i | ||||
\(34\) | 0.689092 | − | 1.50890i | 0.118178 | − | 0.258774i | ||||
\(35\) | 0.192441 | + | 0.249561i | 0.0325284 | + | 0.0421836i | ||||
\(36\) | −1.06303 | − | 0.522657i | −0.177172 | − | 0.0871095i | ||||
\(37\) | −1.64532 | + | 0.808948i | −0.270488 | + | 0.132990i | −0.571426 | − | 0.820654i | \(-0.693610\pi\) |
0.300937 | + | 0.953644i | \(0.402700\pi\) | |||||||
\(38\) | −0.0536372 | + | 0.0695579i | −0.00870110 | + | 0.0112838i | ||||
\(39\) | −4.09004 | − | 7.75148i | −0.654930 | − | 1.24123i | ||||
\(40\) | −0.100596 | − | 0.309604i | −0.0159057 | − | 0.0489527i | ||||
\(41\) | −8.82990 | + | 3.73155i | −1.37900 | + | 0.582770i | −0.947620 | − | 0.319401i | \(-0.896518\pi\) |
−0.431379 | + | 0.902171i | \(0.641973\pi\) | |||||||
\(42\) | 0.473230 | + | 1.21548i | 0.0730209 | + | 0.187553i | ||||
\(43\) | −3.11932 | + | 2.00466i | −0.475691 | + | 0.305708i | −0.756428 | − | 0.654076i | \(-0.773057\pi\) |
0.280737 | + | 0.959785i | \(0.409421\pi\) | |||||||
\(44\) | −2.96924 | − | 1.47771i | −0.447630 | − | 0.222772i | ||||
\(45\) | 0.324405 | + | 0.208483i | 0.0483595 | + | 0.0310787i | ||||
\(46\) | −0.247987 | + | 1.22386i | −0.0365637 | + | 0.180449i | ||||
\(47\) | 2.66080 | + | 4.41244i | 0.388117 | + | 0.643620i | 0.987640 | − | 0.156737i | \(-0.0500976\pi\) |
−0.599523 | + | 0.800357i | \(0.704643\pi\) | |||||||
\(48\) | −0.0384758 | − | 1.34683i | −0.00555351 | − | 0.194398i | ||||
\(49\) | 2.19965 | − | 5.64975i | 0.314235 | − | 0.807107i | ||||
\(50\) | −0.971907 | − | 4.79655i | −0.137448 | − | 0.678334i | ||||
\(51\) | −1.64664 | + | 1.51128i | −0.230576 | + | 0.211621i | ||||
\(52\) | −3.67156 | + | 5.36948i | −0.509153 | + | 0.744613i | ||||
\(53\) | 1.91596 | + | 0.683612i | 0.263177 | + | 0.0939013i | 0.464342 | − | 0.885656i | \(-0.346291\pi\) |
−0.201165 | + | 0.979557i | \(0.564473\pi\) | |||||||
\(54\) | 3.69224 | + | 4.26107i | 0.502450 | + | 0.579858i | ||||
\(55\) | 0.905462 | + | 0.588096i | 0.122092 | + | 0.0792989i | ||||
\(56\) | 0.633949 | − | 0.731616i | 0.0847150 | − | 0.0977664i | ||||
\(57\) | 0.103052 | − | 0.0581962i | 0.0136496 | − | 0.00770827i | ||||
\(58\) | 0.256918 | − | 8.99329i | 0.0337349 | − | 1.18088i | ||||
\(59\) | 2.77842 | + | 1.17417i | 0.361719 | + | 0.152864i | 0.562552 | − | 0.826762i | \(-0.309819\pi\) |
−0.200833 | + | 0.979625i | \(0.564365\pi\) | |||||||
\(60\) | −0.0375351 | + | 0.437013i | −0.00484576 | + | 0.0564181i | ||||
\(61\) | 1.08978 | − | 12.6881i | 0.139532 | − | 1.62455i | −0.507200 | − | 0.861829i | \(-0.669319\pi\) |
0.646732 | − | 0.762717i | \(-0.276135\pi\) | |||||||
\(62\) | −6.56470 | − | 2.77426i | −0.833718 | − | 0.352332i | ||||
\(63\) | −0.0327464 | + | 1.14627i | −0.00412566 | + | 0.144417i | ||||
\(64\) | −0.870746 | + | 0.491733i | −0.108843 | + | 0.0614666i | ||||
\(65\) | 1.38669 | − | 1.60033i | 0.171998 | − | 0.198496i | ||||
\(66\) | 2.91008 | + | 3.39133i | 0.358207 | + | 0.417444i | ||||
\(67\) | −0.465558 | − | 0.537282i | −0.0568769 | − | 0.0656395i | 0.726598 | − | 0.687063i | \(-0.241100\pi\) |
−0.783475 | + | 0.621423i | \(0.786555\pi\) | |||||||
\(68\) | 1.56233 | + | 0.557440i | 0.189461 | + | 0.0675995i | ||||
\(69\) | 0.949688 | − | 1.38887i | 0.114329 | − | 0.167201i | ||||
\(70\) | −0.232178 | + | 0.213091i | −0.0277506 | + | 0.0254692i | ||||
\(71\) | 0.0879319 | + | 0.433961i | 0.0104356 | + | 0.0515017i | 0.984962 | − | 0.172771i | \(-0.0552721\pi\) |
−0.974526 | + | 0.224273i | \(0.927999\pi\) | |||||||
\(72\) | 0.429771 | − | 1.10386i | 0.0506490 | − | 0.130091i | ||||
\(73\) | −0.319000 | − | 11.1665i | −0.0373362 | − | 1.30694i | −0.775083 | − | 0.631859i | \(-0.782292\pi\) |
0.737747 | − | 0.675077i | \(-0.235890\pi\) | |||||||
\(74\) | −0.946778 | − | 1.57006i | −0.110061 | − | 0.182515i | ||||
\(75\) | −1.30953 | + | 6.46277i | −0.151211 | + | 0.746257i | ||||
\(76\) | −0.0738928 | − | 0.0474880i | −0.00847608 | − | 0.00544725i | ||||
\(77\) | −0.107166 | + | 3.20893i | −0.0122127 | + | 0.365691i | ||||
\(78\) | 7.37304 | − | 4.73837i | 0.834832 | − | 0.536514i | ||||
\(79\) | −4.38991 | − | 11.2754i | −0.493903 | − | 1.26858i | −0.929628 | − | 0.368500i | \(-0.879871\pi\) |
0.435724 | − | 0.900080i | \(-0.356492\pi\) | |||||||
\(80\) | 0.299860 | − | 0.126722i | 0.0335254 | − | 0.0141679i | ||||
\(81\) | −1.24938 | − | 3.84521i | −0.138820 | − | 0.427245i | ||||
\(82\) | −4.47348 | − | 8.47818i | −0.494013 | − | 0.936258i | ||||
\(83\) | −9.90497 | + | 12.8450i | −1.08721 | + | 1.40992i | −0.182857 | + | 0.983139i | \(0.558535\pi\) |
−0.904355 | + | 0.426782i | \(0.859647\pi\) | |||||||
\(84\) | −1.17053 | + | 0.575508i | −0.127715 | + | 0.0627931i | ||||
\(85\) | −0.484597 | − | 0.238260i | −0.0525619 | − | 0.0258430i | ||||
\(86\) | −2.26424 | − | 2.93632i | −0.244160 | − | 0.316632i | ||||
\(87\) | −5.03579 | + | 11.0268i | −0.539894 | + | 1.18220i | ||||
\(88\) | 1.21819 | − | 3.08480i | 0.129860 | − | 0.328841i | ||||
\(89\) | 4.65614 | + | 10.1955i | 0.493550 | + | 1.08072i | 0.978512 | + | 0.206188i | \(0.0661059\pi\) |
−0.484963 | + | 0.874535i | \(0.661167\pi\) | |||||||
\(90\) | −0.179957 | + | 0.341056i | −0.0189691 | + | 0.0359505i | ||||
\(91\) | 6.20480 | + | 1.07378i | 0.650439 | + | 0.112563i | ||||
\(92\) | −1.24060 | − | 0.142345i | −0.129341 | − | 0.0148405i | ||||
\(93\) | 6.69238 | + | 6.88630i | 0.693968 | + | 0.714076i | ||||
\(94\) | −4.16855 | + | 3.02863i | −0.429953 | + | 0.312379i | ||||
\(95\) | 0.0221358 | + | 0.0181004i | 0.00227109 | + | 0.00185706i | ||||
\(96\) | 1.33860 | − | 0.153590i | 0.136620 | − | 0.0156757i | ||||
\(97\) | −6.84411 | − | 0.391360i | −0.694914 | − | 0.0397366i | −0.293937 | − | 0.955825i | \(-0.594966\pi\) |
−0.400977 | + | 0.916088i | \(0.631329\pi\) | |||||||
\(98\) | 5.81726 | + | 1.70810i | 0.587632 | + | 0.172544i | ||||
\(99\) | 1.19602 | + | 3.74230i | 0.120204 | + | 0.376115i | ||||
\(100\) | 4.69578 | − | 1.37881i | 0.469578 | − | 0.137881i | ||||
\(101\) | 12.7218 | − | 2.95833i | 1.26587 | − | 0.294365i | 0.460776 | − | 0.887517i | \(-0.347571\pi\) |
0.805090 | + | 0.593152i | \(0.202117\pi\) | |||||||
\(102\) | −1.64664 | − | 1.51128i | −0.163042 | − | 0.149639i | ||||
\(103\) | 5.13579 | − | 8.51674i | 0.506044 | − | 0.839180i | −0.493489 | − | 0.869752i | \(-0.664279\pi\) |
0.999533 | + | 0.0305726i | \(0.00973308\pi\) | |||||||
\(104\) | −5.66398 | − | 3.19859i | −0.555398 | − | 0.313648i | ||||
\(105\) | 0.399922 | − | 0.142692i | 0.0390284 | − | 0.0139253i | ||||
\(106\) | −0.517146 | + | 1.96743i | −0.0502297 | + | 0.191094i | ||||
\(107\) | −5.60320 | + | 4.58171i | −0.541681 | + | 0.442931i | −0.863848 | − | 0.503752i | \(-0.831952\pi\) |
0.322167 | + | 0.946683i | \(0.395589\pi\) | |||||||
\(108\) | −3.92947 | + | 4.04333i | −0.378114 | + | 0.389070i | ||||
\(109\) | −0.648585 | + | 4.51101i | −0.0621232 | + | 0.432076i | 0.934896 | + | 0.354922i | \(0.115493\pi\) |
−0.997019 | + | 0.0771544i | \(0.975417\pi\) | |||||||
\(110\) | −0.508454 | + | 0.952467i | −0.0484792 | + | 0.0908141i | ||||
\(111\) | 0.351564 | + | 2.44518i | 0.0333690 | + | 0.232086i | ||||
\(112\) | 0.783183 | + | 0.569016i | 0.0740038 | + | 0.0537669i | ||||
\(113\) | 0.433018 | + | 1.64737i | 0.0407349 | + | 0.154972i | 0.984405 | − | 0.175915i | \(-0.0562885\pi\) |
−0.943670 | + | 0.330887i | \(0.892652\pi\) | |||||||
\(114\) | 0.0668014 | + | 0.0976939i | 0.00625652 | + | 0.00914987i | ||||
\(115\) | 0.395946 | + | 0.0920732i | 0.0369221 | + | 0.00858587i | ||||
\(116\) | 8.98229 | − | 0.513626i | 0.833984 | − | 0.0476889i | ||||
\(117\) | 7.59246 | − | 1.31393i | 0.701923 | − | 0.121473i | ||||
\(118\) | −0.932098 | + | 2.86870i | −0.0858066 | + | 0.264086i | ||||
\(119\) | −0.137419 | − | 1.59994i | −0.0125972 | − | 0.146667i | ||||
\(120\) | −0.438622 | −0.0400405 | ||||||||
\(121\) | 3.29810 | + | 10.4939i | 0.299827 | + | 0.953994i | ||||
\(122\) | 12.7348 | 1.15296 | ||||||||
\(123\) | 1.10529 | + | 12.8686i | 0.0996603 | + | 1.16032i | ||||
\(124\) | 2.20231 | − | 6.77803i | 0.197774 | − | 0.608685i | ||||
\(125\) | −3.17370 | + | 0.549230i | −0.283864 | + | 0.0491246i | ||||
\(126\) | −1.14487 | + | 0.0654661i | −0.101993 | + | 0.00583219i | ||||
\(127\) | 10.0429 | + | 2.33538i | 0.891164 | + | 0.207231i | 0.646989 | − | 0.762500i | \(-0.276028\pi\) |
0.244176 | + | 0.969731i | \(0.421483\pi\) | |||||||
\(128\) | −0.564443 | − | 0.825472i | −0.0498902 | − | 0.0729621i | ||||
\(129\) | 1.27007 | + | 4.83187i | 0.111824 | + | 0.425422i | ||||
\(130\) | 1.71312 | + | 1.24465i | 0.150251 | + | 0.109163i | ||||
\(131\) | 1.57859 | + | 10.9793i | 0.137922 | + | 0.959269i | 0.934812 | + | 0.355144i | \(0.115568\pi\) |
−0.796890 | + | 0.604125i | \(0.793523\pi\) | |||||||
\(132\) | −3.12986 | + | 3.18962i | −0.272420 | + | 0.277621i | ||||
\(133\) | −0.0121013 | + | 0.0841662i | −0.00104931 | + | 0.00729813i | ||||
\(134\) | 0.495471 | − | 0.509828i | 0.0428022 | − | 0.0440424i | ||||
\(135\) | 1.42089 | − | 1.16186i | 0.122291 | − | 0.0999969i | ||||
\(136\) | −0.421698 | + | 1.60431i | −0.0361603 | + | 0.137568i | ||||
\(137\) | −11.2101 | + | 3.99974i | −0.957740 | + | 0.341721i | −0.768241 | − | 0.640160i | \(-0.778868\pi\) |
−0.189498 | + | 0.981881i | \(0.560686\pi\) | |||||||
\(138\) | 1.46505 | + | 0.827351i | 0.124713 | + | 0.0704288i | ||||
\(139\) | −5.30987 | + | 8.80543i | −0.450377 | + | 0.746867i | −0.995825 | − | 0.0912778i | \(-0.970905\pi\) |
0.545448 | + | 0.838144i | \(0.316359\pi\) | |||||||
\(140\) | −0.232178 | − | 0.213091i | −0.0196226 | − | 0.0180095i | ||||
\(141\) | 6.76211 | − | 1.57246i | 0.569472 | − | 0.132425i | ||||
\(142\) | −0.424844 | + | 0.124745i | −0.0356521 | + | 0.0104684i | ||||
\(143\) | 21.2753 | − | 3.57622i | 1.77913 | − | 0.299058i | ||||
\(144\) | 1.13659 | + | 0.333732i | 0.0947155 | + | 0.0278110i | ||||
\(145\) | −2.92407 | − | 0.167204i | −0.242831 | − | 0.0138856i | ||||
\(146\) | 11.0982 | − | 1.27340i | 0.918494 | − | 0.105387i | ||||
\(147\) | −6.32393 | − | 5.17105i | −0.521589 | − | 0.426501i | ||||
\(148\) | 1.48328 | − | 1.07766i | 0.121925 | − | 0.0885833i | ||||
\(149\) | −12.8922 | − | 13.2657i | −1.05617 | − | 1.08677i | −0.996069 | − | 0.0885779i | \(-0.971768\pi\) |
−0.0600980 | − | 0.998192i | \(-0.519141\pi\) | |||||||
\(150\) | −6.55113 | − | 0.751672i | −0.534897 | − | 0.0613737i | ||||
\(151\) | −19.9580 | − | 3.45387i | −1.62416 | − | 0.281072i | −0.715501 | − | 0.698612i | \(-0.753802\pi\) |
−0.908659 | + | 0.417540i | \(0.862892\pi\) | |||||||
\(152\) | 0.0409904 | − | 0.0776855i | 0.00332476 | − | 0.00630113i | ||||
\(153\) | −0.816277 | − | 1.78740i | −0.0659921 | − | 0.144502i | ||||
\(154\) | −3.20633 | + | 0.167831i | −0.258373 | + | 0.0135242i | ||||
\(155\) | −0.963784 | + | 2.11039i | −0.0774130 | + | 0.169511i | ||||
\(156\) | 5.35193 | + | 6.94051i | 0.428497 | + | 0.555685i | ||||
\(157\) | 13.7788 | + | 6.77458i | 1.09967 | + | 0.540671i | 0.898539 | − | 0.438894i | \(-0.144630\pi\) |
0.201130 | + | 0.979565i | \(0.435539\pi\) | |||||||
\(158\) | 10.8584 | − | 5.33870i | 0.863845 | − | 0.424724i | ||||
\(159\) | 1.67374 | − | 2.17054i | 0.132736 | − | 0.172135i | ||||
\(160\) | 0.151918 | + | 0.287916i | 0.0120101 | + | 0.0227617i | ||||
\(161\) | 0.373559 | + | 1.14969i | 0.0294405 | + | 0.0906086i | ||||
\(162\) | 3.72419 | − | 1.57385i | 0.292600 | − | 0.123654i | ||||
\(163\) | 5.17505 | + | 13.2920i | 0.405341 | + | 1.04111i | 0.975583 | + | 0.219633i | \(0.0704859\pi\) |
−0.570242 | + | 0.821477i | \(0.693151\pi\) | |||||||
\(164\) | 8.06426 | − | 5.18259i | 0.629713 | − | 0.404692i | ||||
\(165\) | 1.13061 | − | 0.915428i | 0.0880177 | − | 0.0712660i | ||||
\(166\) | −13.6455 | − | 8.76943i | −1.05910 | − | 0.680639i | ||||
\(167\) | 1.59834 | − | 7.88810i | 0.123683 | − | 0.610399i | −0.869510 | − | 0.493916i | \(-0.835565\pi\) |
0.993193 | − | 0.116483i | \(-0.0371622\pi\) | |||||||
\(168\) | −0.673565 | − | 1.11698i | −0.0519667 | − | 0.0861770i | ||||
\(169\) | −0.837024 | − | 29.2997i | −0.0643865 | − | 2.25382i | ||||
\(170\) | 0.195917 | − | 0.503209i | 0.0150261 | − | 0.0385943i | ||||
\(171\) | 0.0206630 | + | 0.101976i | 0.00158014 | + | 0.00779830i | ||||
\(172\) | 2.73179 | − | 2.50721i | 0.208297 | − | 0.191173i | ||||
\(173\) | 2.95769 | − | 4.32549i | 0.224869 | − | 0.328861i | −0.696495 | − | 0.717562i | \(-0.745258\pi\) |
0.921364 | + | 0.388701i | \(0.127076\pi\) | |||||||
\(174\) | −11.4173 | − | 4.07370i | −0.865546 | − | 0.308826i | ||||
\(175\) | −3.10256 | − | 3.58055i | −0.234532 | − | 0.270664i | ||||
\(176\) | 3.17773 | + | 0.949741i | 0.239531 | + | 0.0715895i | ||||
\(177\) | 2.66145 | − | 3.07148i | 0.200047 | − | 0.230866i | ||||
\(178\) | −9.75967 | + | 5.51154i | −0.731518 | + | 0.413107i | ||||
\(179\) | −0.0336576 | + | 1.17817i | −0.00251569 | + | 0.0880606i | 0.997364 | + | 0.0725586i | \(0.0231164\pi\) |
−0.999880 | + | 0.0155020i | \(0.995065\pi\) | |||||||
\(180\) | −0.355205 | − | 0.150111i | −0.0264754 | − | 0.0111886i | ||||
\(181\) | 1.24267 | − | 14.4681i | 0.0923667 | − | 1.07541i | −0.792597 | − | 0.609746i | \(-0.791271\pi\) |
0.884964 | − | 0.465660i | \(-0.154183\pi\) | |||||||
\(182\) | −0.538868 | + | 6.27392i | −0.0399435 | + | 0.465054i | ||||
\(183\) | −15.8052 | − | 6.67935i | −1.16836 | − | 0.493751i | ||||
\(184\) | 0.0356590 | − | 1.24823i | 0.00262881 | − | 0.0920205i | ||||
\(185\) | −0.519704 | + | 0.293491i | −0.0382094 | + | 0.0215779i | ||||
\(186\) | −6.28834 | + | 7.25713i | −0.461083 | + | 0.532118i | ||||
\(187\) | −2.26129 | − | 5.01542i | −0.165362 | − | 0.366764i | ||||
\(188\) | −3.37425 | − | 3.89409i | −0.246092 | − | 0.284005i | ||||
\(189\) | 5.14074 | + | 1.83421i | 0.373933 | + | 0.133419i | ||||
\(190\) | −0.0161397 | + | 0.0236036i | −0.00117090 | + | 0.00171238i | ||||
\(191\) | 4.89433 | − | 4.49198i | 0.354141 | − | 0.325028i | −0.479284 | − | 0.877660i | \(-0.659104\pi\) |
0.833426 | + | 0.552632i | \(0.186376\pi\) | |||||||
\(192\) | 0.267577 | + | 1.32054i | 0.0193107 | + | 0.0953020i | ||||
\(193\) | −1.38097 | + | 3.54700i | −0.0994047 | + | 0.255319i | −0.972781 | − | 0.231728i | \(-0.925562\pi\) |
0.873376 | + | 0.487047i | \(0.161926\pi\) | |||||||
\(194\) | −0.195760 | − | 6.85249i | −0.0140547 | − | 0.491980i | ||||
\(195\) | −1.47334 | − | 2.44327i | −0.105508 | − | 0.174966i | ||||
\(196\) | −1.20402 | + | 5.94209i | −0.0860017 | + | 0.424435i | ||||
\(197\) | 12.4095 | + | 7.97513i | 0.884143 | + | 0.568205i | 0.902048 | − | 0.431635i | \(-0.142063\pi\) |
−0.0179048 | + | 0.999840i | \(0.505700\pi\) | |||||||
\(198\) | −3.62622 | + | 1.51188i | −0.257704 | + | 0.107444i | ||||
\(199\) | −6.71256 | + | 4.31390i | −0.475841 | + | 0.305804i | −0.756489 | − | 0.654007i | \(-0.773087\pi\) |
0.280648 | + | 0.959811i | \(0.409451\pi\) | |||||||
\(200\) | 1.77559 | + | 4.56057i | 0.125553 | + | 0.322481i | ||||
\(201\) | −0.882333 | + | 0.372877i | −0.0622350 | + | 0.0263007i | ||||
\(202\) | 4.03614 | + | 12.4220i | 0.283982 | + | 0.874007i | ||||
\(203\) | −4.06451 | − | 7.70311i | −0.285273 | − | 0.540652i | ||||
\(204\) | 1.36482 | − | 1.76993i | 0.0955566 | − | 0.123920i | ||||
\(205\) | −2.80042 | + | 1.37688i | −0.195590 | + | 0.0961651i | ||||
\(206\) | 8.92500 | + | 4.38813i | 0.621834 | + | 0.305735i | ||||
\(207\) | 0.903279 | + | 1.17139i | 0.0627822 | + | 0.0814174i | ||||
\(208\) | 2.70217 | − | 5.91692i | 0.187361 | − | 0.410264i | ||||
\(209\) | 0.0564755 | + | 0.285794i | 0.00390649 | + | 0.0197688i | ||||
\(210\) | 0.176392 | + | 0.386244i | 0.0121722 | + | 0.0266534i | ||||
\(211\) | 7.01585 | − | 13.2965i | 0.482991 | − | 0.915370i | −0.515305 | − | 0.857007i | \(-0.672321\pi\) |
0.998295 | − | 0.0583624i | \(-0.0185879\pi\) | |||||||
\(212\) | −2.00447 | − | 0.346887i | −0.137667 | − | 0.0238243i | ||||
\(213\) | 0.592704 | + | 0.0680064i | 0.0406114 | + | 0.00465972i | ||||
\(214\) | −5.04440 | − | 5.19056i | −0.344828 | − | 0.354819i | ||||
\(215\) | −0.976541 | + | 0.709499i | −0.0665996 | + | 0.0483874i | ||||
\(216\) | −4.36477 | − | 3.56905i | −0.296985 | − | 0.242843i | ||||
\(217\) | −6.85429 | + | 0.786456i | −0.465299 | + | 0.0533881i | ||||
\(218\) | −4.54996 | − | 0.260176i | −0.308162 | − | 0.0176214i | ||||
\(219\) | −14.4419 | − | 4.24053i | −0.975894 | − | 0.286548i | ||||
\(220\) | −0.992484 | − | 0.425082i | −0.0669132 | − | 0.0286590i | ||||
\(221\) | −10.3530 | + | 3.03992i | −0.696419 | + | 0.204487i | ||||
\(222\) | −2.40613 | + | 0.559521i | −0.161489 | + | 0.0375526i | ||||
\(223\) | −1.72721 | − | 1.58522i | −0.115662 | − | 0.106154i | 0.616257 | − | 0.787545i | \(-0.288648\pi\) |
−0.731920 | + | 0.681391i | \(0.761375\pi\) | |||||||
\(224\) | −0.499907 | + | 0.829003i | −0.0334015 | + | 0.0553901i | ||||
\(225\) | −5.04798 | − | 2.85073i | −0.336532 | − | 0.190049i | ||||
\(226\) | −1.60427 | + | 0.572404i | −0.106715 | + | 0.0380757i | ||||
\(227\) | −1.31692 | + | 5.01007i | −0.0874068 | + | 0.332530i | −0.996452 | − | 0.0841686i | \(-0.973177\pi\) |
0.909045 | + | 0.416699i | \(0.136813\pi\) | |||||||
\(228\) | −0.0916190 | + | 0.0749165i | −0.00606761 | + | 0.00496146i | ||||
\(229\) | −2.07761 | + | 2.13781i | −0.137292 | + | 0.141270i | −0.782291 | − | 0.622914i | \(-0.785949\pi\) |
0.644999 | + | 0.764184i | \(0.276858\pi\) | |||||||
\(230\) | −0.0578524 | + | 0.402372i | −0.00381467 | + | 0.0265316i | ||||
\(231\) | 4.06741 | + | 1.47341i | 0.267616 | + | 0.0969430i | ||||
\(232\) | 1.28040 | + | 8.90538i | 0.0840624 | + | 0.584667i | ||||
\(233\) | 0.334734 | + | 0.243199i | 0.0219292 | + | 0.0159325i | 0.598696 | − | 0.800976i | \(-0.295686\pi\) |
−0.576767 | + | 0.816909i | \(0.695686\pi\) | |||||||
\(234\) | 1.95883 | + | 7.45217i | 0.128053 | + | 0.487163i | ||||
\(235\) | 0.946779 | + | 1.38462i | 0.0617610 | + | 0.0903226i | ||||
\(236\) | −2.93795 | − | 0.683190i | −0.191244 | − | 0.0444719i | ||||
\(237\) | −16.2765 | + | 0.930722i | −1.05727 | + | 0.0604569i | ||||
\(238\) | 1.58231 | − | 0.273830i | 0.102566 | − | 0.0177498i | ||||
\(239\) | 1.80273 | − | 5.54823i | 0.116609 | − | 0.358885i | −0.875670 | − | 0.482909i | \(-0.839580\pi\) |
0.992279 | + | 0.124024i | \(0.0395800\pi\) | |||||||
\(240\) | −0.0375351 | − | 0.437013i | −0.00242288 | − | 0.0282091i | ||||
\(241\) | −0.119704 | −0.00771079 | −0.00385540 | − | 0.999993i | \(-0.501227\pi\) | ||||
−0.00385540 | + | 0.999993i | \(0.501227\pi\) | |||||||
\(242\) | −10.1732 | + | 4.18402i | −0.653958 | + | 0.268959i | ||||
\(243\) | 11.4670 | 0.735610 | ||||||||
\(244\) | 1.08978 | + | 12.6881i | 0.0697662 | + | 0.812273i | ||||
\(245\) | 0.609901 | − | 1.87708i | 0.0389651 | − | 0.119922i | ||||
\(246\) | −12.7268 | + | 2.20246i | −0.811432 | + | 0.140424i | ||||
\(247\) | 0.570422 | − | 0.0326179i | 0.0362951 | − | 0.00207543i | ||||
\(248\) | 6.94162 | + | 1.61421i | 0.440794 | + | 0.102502i | ||||
\(249\) | 12.3359 | + | 18.0407i | 0.781759 | + | 1.14329i | ||||
\(250\) | −0.818805 | − | 3.11506i | −0.0517858 | − | 0.197013i | ||||
\(251\) | 0.437680 | + | 0.317993i | 0.0276261 | + | 0.0200715i | 0.601513 | − | 0.798863i | \(-0.294565\pi\) |
−0.573887 | + | 0.818935i | \(0.694565\pi\) | |||||||
\(252\) | −0.163198 | − | 1.13507i | −0.0102805 | − | 0.0715027i | ||||
\(253\) | 2.51320 | + | 3.29190i | 0.158004 | + | 0.206960i | ||||
\(254\) | −1.46739 | + | 10.2059i | −0.0920722 | + | 0.640376i | ||||
\(255\) | −0.507083 | + | 0.521776i | −0.0317548 | + | 0.0326749i | ||||
\(256\) | 0.774142 | − | 0.633012i | 0.0483839 | − | 0.0395633i | ||||
\(257\) | 3.93480 | − | 14.9695i | 0.245446 | − | 0.933773i | −0.724266 | − | 0.689521i | \(-0.757821\pi\) |
0.969712 | − | 0.244252i | \(-0.0785425\pi\) | |||||||
\(258\) | −4.70545 | + | 1.67890i | −0.292949 | + | 0.104524i | ||||
\(259\) | −1.54547 | − | 0.872769i | −0.0960310 | − | 0.0542312i | ||||
\(260\) | −1.09349 | + | 1.81335i | −0.0678153 | + | 0.112459i | ||||
\(261\) | −7.85183 | − | 7.20635i | −0.486016 | − | 0.446062i | ||||
\(262\) | −10.8040 | + | 2.51236i | −0.667471 | + | 0.155214i | ||||
\(263\) | −17.7693 | + | 5.21754i | −1.09570 | + | 0.321727i | −0.779144 | − | 0.626845i | \(-0.784346\pi\) |
−0.316559 | + | 0.948573i | \(0.602528\pi\) | |||||||
\(264\) | −3.44576 | − | 2.84543i | −0.212072 | − | 0.175124i | ||||
\(265\) | 0.635402 | + | 0.186571i | 0.0390325 | + | 0.0114610i | ||||
\(266\) | −0.0848930 | − | 0.00485436i | −0.00520512 | − | 0.000297640i | ||||
\(267\) | 15.0035 | − | 1.72149i | 0.918201 | − | 0.105354i | ||||
\(268\) | 0.550358 | + | 0.450025i | 0.0336185 | + | 0.0274897i | ||||
\(269\) | −19.9709 | + | 14.5097i | −1.21765 | + | 0.884671i | −0.995902 | − | 0.0904339i | \(-0.971175\pi\) |
−0.221743 | + | 0.975105i | \(0.571175\pi\) | |||||||
\(270\) | 1.27919 | + | 1.31626i | 0.0778490 | + | 0.0801047i | ||||
\(271\) | 27.8867 | + | 3.19970i | 1.69400 | + | 0.194368i | 0.906575 | − | 0.422044i | \(-0.138687\pi\) |
0.787423 | + | 0.616413i | \(0.211415\pi\) | |||||||
\(272\) | −1.63451 | − | 0.282863i | −0.0991066 | − | 0.0171511i | ||||
\(273\) | 3.95943 | − | 7.50395i | 0.239636 | − | 0.454160i | ||||
\(274\) | −4.94437 | − | 10.8267i | −0.298700 | − | 0.654062i | ||||
\(275\) | −14.0950 | − | 8.04972i | −0.849959 | − | 0.485417i | ||||
\(276\) | −0.698945 | + | 1.53048i | −0.0420715 | + | 0.0921238i | ||||
\(277\) | 5.46147 | + | 7.08256i | 0.328148 | + | 0.425550i | 0.926856 | − | 0.375418i | \(-0.122501\pi\) |
−0.598708 | + | 0.800968i | \(0.704319\pi\) | |||||||
\(278\) | −9.22752 | − | 4.53687i | −0.553430 | − | 0.272103i | ||||
\(279\) | −7.57604 | + | 3.72489i | −0.453566 | + | 0.223003i | ||||
\(280\) | 0.192441 | − | 0.249561i | 0.0115005 | − | 0.0149142i | ||||
\(281\) | 0.769844 | + | 1.45902i | 0.0459251 | + | 0.0870377i | 0.906324 | − | 0.422583i | \(-0.138877\pi\) |
−0.860399 | + | 0.509621i | \(0.829786\pi\) | |||||||
\(282\) | 2.14536 | + | 6.60274i | 0.127754 | + | 0.393187i | ||||
\(283\) | 6.62607 | − | 2.80020i | 0.393879 | − | 0.166455i | −0.183329 | − | 0.983052i | \(-0.558687\pi\) |
0.577208 | + | 0.816597i | \(0.304142\pi\) | |||||||
\(284\) | −0.160644 | − | 0.412611i | −0.00953246 | − | 0.0244839i | ||||
\(285\) | 0.0324110 | − | 0.0208293i | 0.00191986 | − | 0.00123382i | ||||
\(286\) | 5.38373 | + | 20.8912i | 0.318347 | + | 1.23532i | ||||
\(287\) | −7.80675 | − | 5.01709i | −0.460818 | − | 0.296150i | ||||
\(288\) | −0.235244 | + | 1.16098i | −0.0138619 | + | 0.0684111i | ||||
\(289\) | −7.35782 | − | 12.2016i | −0.432813 | − | 0.717740i | ||||
\(290\) | −0.0836362 | − | 2.92765i | −0.00491129 | − | 0.171917i | ||||
\(291\) | −3.35114 | + | 8.60733i | −0.196447 | + | 0.504570i | ||||
\(292\) | 2.21846 | + | 10.9485i | 0.129826 | + | 0.640714i | ||||
\(293\) | 8.47666 | − | 7.77981i | 0.495212 | − | 0.454501i | −0.389237 | − | 0.921137i | \(-0.627261\pi\) |
0.884449 | + | 0.466636i | \(0.154534\pi\) | |||||||
\(294\) | 4.61091 | − | 6.74324i | 0.268914 | − | 0.393274i | ||||
\(295\) | 0.924824 | + | 0.329976i | 0.0538453 | + | 0.0192120i | ||||
\(296\) | 1.20064 | + | 1.38561i | 0.0697858 | + | 0.0805372i | ||||
\(297\) | 18.6996 | + | 0.0902070i | 1.08506 | + | 0.00523434i | ||||
\(298\) | 12.1138 | − | 13.9801i | 0.701734 | − | 0.809845i | ||||
\(299\) | 7.07281 | − | 3.99420i | 0.409031 | − | 0.230991i | ||||
\(300\) | 0.188302 | − | 6.59142i | 0.0108716 | − | 0.380556i | ||||
\(301\) | −3.30640 | − | 1.39730i | −0.190578 | − | 0.0805389i | ||||
\(302\) | 1.73329 | − | 20.1804i | 0.0997398 | − | 1.16125i | ||||
\(303\) | 1.50599 | − | 17.5339i | 0.0865166 | − | 1.00730i | ||||
\(304\) | 0.0809083 | + | 0.0341921i | 0.00464041 | + | 0.00196105i | ||||
\(305\) | 0.118384 | − | 4.14397i | 0.00677863 | − | 0.237283i | ||||
\(306\) | 1.71099 | − | 0.966239i | 0.0978106 | − | 0.0552362i | ||||
\(307\) | −0.661649 | + | 0.763584i | −0.0377623 | + | 0.0435800i | −0.774317 | − | 0.632798i | \(-0.781906\pi\) |
0.736554 | + | 0.676379i | \(0.236452\pi\) | |||||||
\(308\) | −0.441596 | − | 3.18020i | −0.0251623 | − | 0.181209i | ||||
\(309\) | −8.77529 | − | 10.1272i | −0.499209 | − | 0.576118i | ||||
\(310\) | −2.18513 | − | 0.779651i | −0.124107 | − | 0.0442812i | ||||
\(311\) | 13.7572 | − | 20.1193i | 0.780101 | − | 1.14086i | −0.206618 | − | 0.978422i | \(-0.566246\pi\) |
0.986719 | − | 0.162439i | \(-0.0519361\pi\) | |||||||
\(312\) | −6.45706 | + | 5.92623i | −0.365559 | + | 0.335507i | ||||
\(313\) | 6.36940 | + | 31.4342i | 0.360020 | + | 1.77677i | 0.593936 | + | 0.804512i | \(0.297573\pi\) |
−0.233916 | + | 0.972257i | \(0.575154\pi\) | |||||||
\(314\) | −5.57061 | + | 14.3080i | −0.314368 | + | 0.807447i | ||||
\(315\) | 0.0106602 | + | 0.373155i | 0.000600633 | + | 0.0210249i | ||||
\(316\) | 6.24832 | + | 10.3617i | 0.351495 | + | 0.582890i | ||||
\(317\) | 3.65827 | − | 18.0543i | 0.205469 | − | 1.01403i | −0.736013 | − | 0.676967i | \(-0.763294\pi\) |
0.941482 | − | 0.337063i | \(-0.109433\pi\) | |||||||
\(318\) | 2.30581 | + | 1.48185i | 0.129303 | + | 0.0830982i | ||||
\(319\) | −21.8864 | − | 20.2826i | −1.22540 | − | 1.13561i | ||||
\(320\) | −0.273859 | + | 0.175999i | −0.0153092 | + | 0.00983862i | ||||
\(321\) | 3.53820 | + | 9.08778i | 0.197483 | + | 0.507230i | ||||
\(322\) | −1.11351 | + | 0.470573i | −0.0620535 | + | 0.0262240i | ||||
\(323\) | −0.0450249 | − | 0.138572i | −0.00250525 | − | 0.00771037i | ||||
\(324\) | 1.88678 | + | 3.57584i | 0.104821 | + | 0.198658i | ||||
\(325\) | −19.4396 | + | 25.2097i | −1.07831 | + | 1.39838i | ||||
\(326\) | −12.8004 | + | 6.29352i | −0.708948 | + | 0.348566i | ||||
\(327\) | 5.51051 | + | 2.70934i | 0.304732 | + | 0.149827i | ||||
\(328\) | 5.85368 | + | 7.59118i | 0.323215 | + | 0.419153i | ||||
\(329\) | −2.07212 | + | 4.53732i | −0.114240 | + | 0.250150i | ||||
\(330\) | 1.00882 | + | 1.04812i | 0.0555338 | + | 0.0576972i | ||||
\(331\) | 8.87801 | + | 19.4401i | 0.487979 | + | 1.06853i | 0.980192 | + | 0.198051i | \(0.0634610\pi\) |
−0.492212 | + | 0.870475i | \(0.663812\pi\) | |||||||
\(332\) | 7.56954 | − | 14.3459i | 0.415433 | − | 0.787333i | ||||
\(333\) | −2.14001 | − | 0.370344i | −0.117272 | − | 0.0202947i | ||||
\(334\) | 7.99594 | + | 0.917448i | 0.437518 | + | 0.0502005i | ||||
\(335\) | −0.161294 | − | 0.165968i | −0.00881245 | − | 0.00906780i | ||||
\(336\) | 1.05524 | − | 0.766680i | 0.0575683 | − | 0.0418258i | ||||
\(337\) | 3.70762 | + | 3.03171i | 0.201967 | + | 0.165148i | 0.728587 | − | 0.684953i | \(-0.240177\pi\) |
−0.526620 | + | 0.850101i | \(0.676541\pi\) | |||||||
\(338\) | 29.1206 | − | 3.34127i | 1.58395 | − | 0.181741i | ||||
\(339\) | 2.29129 | + | 0.131021i | 0.124446 | + | 0.00711607i | ||||
\(340\) | 0.518128 | + | 0.152136i | 0.0280995 | + | 0.00825074i | ||||
\(341\) | −21.2619 | + | 10.3267i | −1.15140 | + | 0.559223i | ||||
\(342\) | −0.0998337 | + | 0.0293138i | −0.00539839 | + | 0.00158511i | ||||
\(343\) | 12.3171 | − | 2.86421i | 0.665060 | − | 0.154653i | ||||
\(344\) | 2.73179 | + | 2.50721i | 0.147288 | + | 0.135180i | ||||
\(345\) | 0.282843 | − | 0.469042i | 0.0152277 | − | 0.0252524i | ||||
\(346\) | 4.56272 | + | 2.57669i | 0.245294 | + | 0.138524i | ||||
\(347\) | 29.3154 | − | 10.4597i | 1.57373 | − | 0.561507i | 0.602186 | − | 0.798356i | \(-0.294296\pi\) |
0.971547 | + | 0.236849i | \(0.0761146\pi\) | |||||||
\(348\) | 3.08172 | − | 11.7241i | 0.165197 | − | 0.628476i | ||||
\(349\) | 3.62255 | − | 2.96214i | 0.193911 | − | 0.158560i | −0.531073 | − | 0.847326i | \(-0.678211\pi\) |
0.724984 | + | 0.688766i | \(0.241847\pi\) | |||||||
\(350\) | 3.30191 | − | 3.39759i | 0.176495 | − | 0.181609i | ||||
\(351\) | 5.21940 | − | 36.3017i | 0.278591 | − | 1.93764i | ||||
\(352\) | −0.674323 | + | 3.24735i | −0.0359415 | + | 0.173084i | ||||
\(353\) | 4.52346 | + | 31.4614i | 0.240760 | + | 1.67452i | 0.648340 | + | 0.761351i | \(0.275464\pi\) |
−0.407580 | + | 0.913169i | \(0.633627\pi\) | |||||||
\(354\) | 3.28796 | + | 2.38885i | 0.174753 | + | 0.126966i | ||||
\(355\) | 0.0366434 | + | 0.139406i | 0.00194483 | + | 0.00739889i | ||||
\(356\) | −6.32651 | − | 9.25222i | −0.335304 | − | 0.490367i | ||||
\(357\) | −2.10744 | − | 0.490064i | −0.111537 | − | 0.0259369i | ||||
\(358\) | −1.17673 | + | 0.0672878i | −0.0621921 | + | 0.00355627i | ||||
\(359\) | 12.5423 | − | 2.17053i | 0.661956 | − | 0.114556i | 0.170363 | − | 0.985381i | \(-0.445506\pi\) |
0.491593 | + | 0.870825i | \(0.336415\pi\) | |||||||
\(360\) | 0.119163 | − | 0.366747i | 0.00628047 | − | 0.0193293i | ||||
\(361\) | −1.62526 | − | 18.9226i | −0.0855403 | − | 0.995927i | ||||
\(362\) | 14.5214 | 0.763227 | ||||||||
\(363\) | 14.8205 | + | 0.142992i | 0.777874 | + | 0.00750512i | ||||
\(364\) | −6.29702 | −0.330054 | ||||||||
\(365\) | −0.311201 | − | 3.62324i | −0.0162890 | − | 0.189649i | ||||
\(366\) | 5.30231 | − | 16.3188i | 0.277156 | − | 0.852999i | ||||
\(367\) | −6.31488 | + | 1.09283i | −0.329634 | + | 0.0570455i | −0.332937 | − | 0.942949i | \(-0.608040\pi\) |
0.00330267 | + | 0.999995i | \(0.498949\pi\) | |||||||
\(368\) | 1.24670 | − | 0.0712889i | 0.0649887 | − | 0.00371619i | ||||
\(369\) | −11.0602 | − | 2.57194i | −0.575770 | − | 0.133890i | ||||
\(370\) | −0.336888 | − | 0.492682i | −0.0175140 | − | 0.0256133i | ||||
\(371\) | 0.500632 | + | 1.90460i | 0.0259915 | + | 0.0988821i | ||||
\(372\) | −7.76863 | − | 5.64424i | −0.402785 | − | 0.292640i | ||||
\(373\) | 2.08151 | + | 14.4772i | 0.107776 | + | 0.749601i | 0.970006 | + | 0.243082i | \(0.0781586\pi\) |
−0.862229 | + | 0.506518i | \(0.830932\pi\) | |||||||
\(374\) | 4.80352 | − | 2.68219i | 0.248384 | − | 0.138693i | ||||
\(375\) | −0.617609 | + | 4.29556i | −0.0318932 | + | 0.221822i | ||||
\(376\) | 3.59105 | − | 3.69510i | 0.185194 | − | 0.190560i | ||||
\(377\) | −45.3050 | + | 37.0457i | −2.33333 | + | 1.90795i | ||||
\(378\) | −1.38756 | + | 5.27884i | −0.0713686 | + | 0.271514i | ||||
\(379\) | 16.5591 | − | 5.90826i | 0.850582 | − | 0.303487i | 0.125453 | − | 0.992100i | \(-0.459962\pi\) |
0.725129 | + | 0.688613i | \(0.241780\pi\) | |||||||
\(380\) | −0.0248982 | − | 0.0140606i | −0.00127725 | − | 0.000721295i | ||||
\(381\) | 7.17413 | − | 11.8970i | 0.367542 | − | 0.609500i | ||||
\(382\) | 4.89433 | + | 4.49198i | 0.250416 | + | 0.229830i | ||||
\(383\) | 18.3544 | − | 4.26814i | 0.937867 | − | 0.218092i | 0.270415 | − | 0.962744i | \(-0.412839\pi\) |
0.667453 | + | 0.744652i | \(0.267385\pi\) | |||||||
\(384\) | −1.29280 | + | 0.379601i | −0.0659730 | + | 0.0193714i | ||||
\(385\) | 0.0248067 | + | 1.04491i | 0.00126426 | + | 0.0532537i | ||||
\(386\) | −3.65217 | − | 1.07237i | −0.185891 | − | 0.0545824i | ||||
\(387\) | −4.38514 | − | 0.250752i | −0.222909 | − | 0.0127464i | ||||
\(388\) | 6.81061 | − | 0.781444i | 0.345756 | − | 0.0396718i | ||||
\(389\) | 28.2460 | + | 23.0967i | 1.43213 | + | 1.17105i | 0.956621 | + | 0.291336i | \(0.0940999\pi\) |
0.475510 | + | 0.879711i | \(0.342264\pi\) | |||||||
\(390\) | 2.30822 | − | 1.67702i | 0.116881 | − | 0.0849193i | ||||
\(391\) | −1.44364 | − | 1.48547i | −0.0730081 | − | 0.0751236i | ||||
\(392\) | −6.02333 | − | 0.691112i | −0.304224 | − | 0.0349064i | ||||
\(393\) | 14.7266 | + | 2.54853i | 0.742856 | + | 0.128556i | ||||
\(394\) | −6.88393 | + | 13.0465i | −0.346807 | + | 0.657273i | ||||
\(395\) | −1.63630 | − | 3.58299i | −0.0823310 | − | 0.180280i | ||||
\(396\) | −1.81665 | − | 3.48354i | −0.0912899 | − | 0.175054i | ||||
\(397\) | 10.8268 | − | 23.7073i | 0.543380 | − | 1.18984i | −0.416426 | − | 0.909170i | \(-0.636717\pi\) |
0.959805 | − | 0.280666i | \(-0.0905554\pi\) | |||||||
\(398\) | −4.87250 | − | 6.31877i | −0.244236 | − | 0.316731i | ||||
\(399\) | 0.102815 | + | 0.0505507i | 0.00514718 | + | 0.00253070i | ||||
\(400\) | −4.39189 | + | 2.15935i | −0.219595 | + | 0.107967i | ||||
\(401\) | 14.7964 | − | 19.1883i | 0.738896 | − | 0.958217i | −0.261079 | − | 0.965318i | \(-0.584078\pi\) |
0.999975 | + | 0.00710008i | \(0.00226005\pi\) | |||||||
\(402\) | −0.447015 | − | 0.847187i | −0.0222951 | − | 0.0422539i | ||||
\(403\) | 14.3255 | + | 44.0893i | 0.713603 | + | 2.19624i | ||||
\(404\) | −12.0310 | + | 5.08435i | −0.598565 | + | 0.252956i | ||||
\(405\) | −0.477519 | − | 1.22650i | −0.0237281 | − | 0.0609451i | ||||
\(406\) | 7.32703 | − | 4.70880i | 0.363635 | − | 0.233694i | ||||
\(407\) | −5.98667 | − | 1.06580i | −0.296748 | − | 0.0528299i | ||||
\(408\) | 1.88023 | + | 1.20835i | 0.0930854 | + | 0.0598224i | ||||
\(409\) | −1.90932 | + | 9.42288i | −0.0944100 | + | 0.465932i | 0.904787 | + | 0.425864i | \(0.140030\pi\) |
−0.999197 | + | 0.0400672i | \(0.987243\pi\) | |||||||
\(410\) | −1.61147 | − | 2.67232i | −0.0795849 | − | 0.131977i | ||||
\(411\) | 0.457949 | + | 16.0303i | 0.0225889 | + | 0.790716i | ||||
\(412\) | −3.60827 | + | 9.26777i | −0.177767 | + | 0.456590i | ||||
\(413\) | 0.579887 | + | 2.86185i | 0.0285344 | + | 0.140823i | ||||
\(414\) | −1.08980 | + | 1.00021i | −0.0535606 | + | 0.0491575i | ||||
\(415\) | −2.98046 | + | 4.35878i | −0.146305 | + | 0.213964i | ||||
\(416\) | 6.12645 | + | 2.18591i | 0.300374 | + | 0.107173i | ||||
\(417\) | 9.07274 | + | 10.4705i | 0.444294 | + | 0.512743i | ||||
\(418\) | −0.279913 | + | 0.0807252i | −0.0136910 | + | 0.00394840i | ||||
\(419\) | −16.7169 | + | 19.2923i | −0.816674 | + | 0.942492i | −0.999171 | − | 0.0407145i | \(-0.987037\pi\) |
0.182497 | + | 0.983206i | \(0.441582\pi\) | |||||||
\(420\) | −0.369732 | + | 0.208797i | −0.0180411 | + | 0.0101883i | ||||
\(421\) | −0.965253 | + | 33.7883i | −0.0470436 | + | 1.64674i | 0.543265 | + | 0.839561i | \(0.317188\pi\) |
−0.590308 | + | 0.807178i | \(0.700994\pi\) | |||||||
\(422\) | 13.8481 | + | 5.85226i | 0.674116 | + | 0.284884i | ||||
\(423\) | −0.522318 | + | 6.08124i | −0.0253960 | + | 0.295680i | ||||
\(424\) | 0.174082 | − | 2.02680i | 0.00845416 | − | 0.0984300i | ||||
\(425\) | 7.47789 | + | 3.16018i | 0.362731 | + | 0.153291i | ||||
\(426\) | −0.0170363 | + | 0.596349i | −0.000825413 | + | 0.0288932i | ||||
\(427\) | 10.7347 | − | 6.06217i | 0.519489 | − | 0.293369i | ||||
\(428\) | 4.73985 | − | 5.47007i | 0.229109 | − | 0.264406i | ||||
\(429\) | 4.27556 | − | 28.7519i | 0.206426 | − | 1.38815i | ||||
\(430\) | −0.790464 | − | 0.912244i | −0.0381195 | − | 0.0439923i | ||||
\(431\) | −37.0722 | − | 13.2273i | −1.78570 | − | 0.637138i | −0.999824 | − | 0.0187575i | \(-0.994029\pi\) |
−0.785879 | − | 0.618380i | \(-0.787789\pi\) | |||||||
\(432\) | 3.18244 | − | 4.65418i | 0.153115 | − | 0.223924i | ||||
\(433\) | −17.7039 | + | 16.2485i | −0.850795 | + | 0.780852i | −0.977466 | − | 0.211092i | \(-0.932298\pi\) |
0.126671 | + | 0.991945i | \(0.459571\pi\) | |||||||
\(434\) | −1.37013 | − | 6.76184i | −0.0657682 | − | 0.324579i | ||||
\(435\) | −1.43173 | + | 3.67738i | −0.0686464 | + | 0.176317i | ||||
\(436\) | −0.130141 | − | 4.55554i | −0.00623263 | − | 0.218171i | ||||
\(437\) | 0.0566409 | + | 0.0939283i | 0.00270950 | + | 0.00449320i | ||||
\(438\) | 2.98911 | − | 14.7518i | 0.142825 | − | 0.704869i | ||||
\(439\) | −23.3737 | − | 15.0214i | −1.11557 | − | 0.716932i | −0.153069 | − | 0.988216i | \(-0.548916\pi\) |
−0.962500 | + | 0.271283i | \(0.912552\pi\) | |||||||
\(440\) | 0.338590 | − | 1.02522i | 0.0161417 | − | 0.0488754i | ||||
\(441\) | 6.04176 | − | 3.88281i | 0.287703 | − | 0.184896i | ||||
\(442\) | −3.91473 | − | 10.0549i | −0.186205 | − | 0.478262i | ||||
\(443\) | −17.4255 | + | 7.36407i | −0.827910 | + | 0.349878i | −0.761701 | − | 0.647928i | \(-0.775636\pi\) |
−0.0662084 | + | 0.997806i | \(0.521090\pi\) | |||||||
\(444\) | −0.763373 | − | 2.34942i | −0.0362281 | − | 0.111498i | ||||
\(445\) | 1.70275 | + | 3.22708i | 0.0807182 | + | 0.152978i | ||||
\(446\) | 1.43160 | − | 1.85653i | 0.0677880 | − | 0.0879091i | ||||
\(447\) | −22.3670 | + | 10.9971i | −1.05792 | + | 0.520145i | ||||
\(448\) | −0.868742 | − | 0.427132i | −0.0410442 | − | 0.0201801i | ||||
\(449\) | −7.07606 | − | 9.17639i | −0.333940 | − | 0.433061i | 0.594754 | − | 0.803908i | \(-0.297249\pi\) |
−0.928694 | + | 0.370847i | \(0.879068\pi\) | |||||||
\(450\) | 2.40829 | − | 5.27342i | 0.113528 | − | 0.248591i | ||||
\(451\) | −30.9318 | − | 7.35035i | −1.45652 | − | 0.346115i | ||||
\(452\) | −0.707589 | − | 1.54940i | −0.0332822 | − | 0.0728779i | ||||
\(453\) | −12.7357 | + | 24.1368i | −0.598375 | + | 1.13405i | ||||
\(454\) | −5.10439 | − | 0.883349i | −0.239561 | − | 0.0414576i | ||||
\(455\) | 2.03655 | + | 0.233673i | 0.0954751 | + | 0.0109547i | ||||
\(456\) | −0.0824819 | − | 0.0848719i | −0.00386257 | − | 0.00397449i | ||||
\(457\) | 26.4486 | − | 19.2160i | 1.23721 | − | 0.898888i | 0.239804 | − | 0.970821i | \(-0.422917\pi\) |
0.997409 | + | 0.0719328i | \(0.0229167\pi\) | |||||||
\(458\) | −2.30775 | − | 1.88704i | −0.107834 | − | 0.0881757i | ||||
\(459\) | −9.29171 | + | 1.06612i | −0.433700 | + | 0.0497624i | ||||
\(460\) | −0.405847 | − | 0.0232072i | −0.0189227 | − | 0.00108204i | ||||
\(461\) | −12.6693 | − | 3.72005i | −0.590069 | − | 0.173260i | −0.0269517 | − | 0.999637i | \(-0.508580\pi\) |
−0.563118 | + | 0.826377i | \(0.690398\pi\) | |||||||
\(462\) | −1.11993 | + | 4.17857i | −0.0521040 | + | 0.194405i | ||||
\(463\) | 19.0206 | − | 5.58494i | 0.883961 | − | 0.259554i | 0.191918 | − | 0.981411i | \(-0.438529\pi\) |
0.692043 | + | 0.721857i | \(0.256711\pi\) | |||||||
\(464\) | −8.76315 | + | 2.03778i | −0.406819 | + | 0.0946017i | ||||
\(465\) | 2.30304 | + | 2.11371i | 0.106801 | + | 0.0980212i | ||||
\(466\) | −0.213662 | + | 0.354318i | −0.00989769 | + | 0.0164135i | ||||
\(467\) | 14.7821 | + | 8.34782i | 0.684033 | + | 0.386291i | 0.794229 | − | 0.607619i | \(-0.207875\pi\) |
−0.110196 | + | 0.993910i | \(0.535148\pi\) | |||||||
\(468\) | −7.25720 | + | 2.58936i | −0.335464 | + | 0.119693i | ||||
\(469\) | 0.174959 | − | 0.665614i | 0.00807887 | − | 0.0307352i | ||||
\(470\) | −1.29852 | + | 1.06179i | −0.0598963 | + | 0.0489769i | ||||
\(471\) | 14.4182 | − | 14.8359i | 0.664354 | − | 0.683604i | ||||
\(472\) | 0.429269 | − | 2.98563i | 0.0197587 | − | 0.137425i | ||||
\(473\) | −12.2743 | − | 0.761288i | −0.564371 | − | 0.0350041i | ||||
\(474\) | −2.32017 | − | 16.1371i | −0.106569 | − | 0.741202i | ||||
\(475\) | −0.347776 | − | 0.252674i | −0.0159570 | − | 0.0115935i | ||||
\(476\) | 0.408232 | + | 1.55308i | 0.0187113 | + | 0.0711852i | ||||
\(477\) | 1.36015 | + | 1.98916i | 0.0622770 | + | 0.0910773i | ||||
\(478\) | 5.68215 | + | 1.32133i | 0.259895 | + | 0.0604361i | ||||
\(479\) | 1.86942 | − | 0.106897i | 0.0854160 | − | 0.00488426i | −0.0143286 | − | 0.999897i | \(-0.504561\pi\) |
0.0997445 | + | 0.995013i | \(0.468197\pi\) | |||||||
\(480\) | 0.432198 | − | 0.0747948i | 0.0197270 | − | 0.00341390i | ||||
\(481\) | −3.68533 | + | 11.3423i | −0.168037 | + | 0.517163i | ||||
\(482\) | −0.0102436 | − | 0.119265i | −0.000466585 | − | 0.00543235i | ||||
\(483\) | 1.62879 | 0.0741127 | ||||||||
\(484\) | −5.03924 | − | 9.77783i | −0.229056 | − | 0.444447i | ||||
\(485\) | −2.23165 | −0.101334 | ||||||||
\(486\) | 0.981291 | + | 11.4250i | 0.0445123 | + | 0.518247i | ||||
\(487\) | 10.7792 | − | 33.1749i | 0.488451 | − | 1.50330i | −0.338469 | − | 0.940977i | \(-0.609909\pi\) |
0.826920 | − | 0.562319i | \(-0.190091\pi\) | |||||||
\(488\) | −12.5483 | + | 2.17157i | −0.568035 | + | 0.0983024i | ||||
\(489\) | 19.1875 | − | 1.09718i | 0.867689 | − | 0.0496163i | ||||
\(490\) | 1.92239 | + | 0.447032i | 0.0868447 | + | 0.0201949i | ||||
\(491\) | −20.0748 | − | 29.3585i | −0.905964 | − | 1.32493i | −0.945469 | − | 0.325711i | \(-0.894396\pi\) |
0.0395048 | − | 0.999219i | \(-0.487422\pi\) | |||||||
\(492\) | −3.28348 | − | 12.4917i | −0.148031 | − | 0.563167i | ||||
\(493\) | 12.0739 | + | 8.77222i | 0.543782 | + | 0.395081i | ||||
\(494\) | 0.0813121 | + | 0.565538i | 0.00365840 | + | 0.0254448i | ||||
\(495\) | 0.458262 | + | 1.19404i | 0.0205973 | + | 0.0536682i | ||||
\(496\) | −1.01425 | + | 7.05430i | −0.0455414 | + | 0.316747i | ||||
\(497\) | −0.298736 | + | 0.307392i | −0.0134001 | + | 0.0137884i | ||||
\(498\) | −16.9189 | + | 13.8345i | −0.758155 | + | 0.619940i | ||||
\(499\) | −5.40120 | + | 20.5483i | −0.241791 | + | 0.919869i | 0.729889 | + | 0.683566i | \(0.239572\pi\) |
−0.971680 | + | 0.236302i | \(0.924064\pi\) | |||||||
\(500\) | 3.03356 | − | 1.08237i | 0.135665 | − | 0.0484052i | ||||
\(501\) | −9.44258 | − | 5.33247i | −0.421864 | − | 0.238237i | ||||
\(502\) | −0.279372 | + | 0.463286i | −0.0124690 | + | 0.0206775i | ||||
\(503\) | 15.1294 | + | 13.8856i | 0.674584 | + | 0.619128i | 0.938443 | − | 0.345433i | \(-0.112268\pi\) |
−0.263859 | + | 0.964561i | \(0.584995\pi\) | |||||||
\(504\) | 1.11694 | − | 0.259733i | 0.0497525 | − | 0.0115694i | ||||
\(505\) | 4.07968 | − | 1.19790i | 0.181544 | − | 0.0533060i | ||||
\(506\) | −3.06475 | + | 2.78569i | −0.136245 | + | 0.123839i | ||||
\(507\) | −37.8941 | − | 11.1267i | −1.68294 | − | 0.494154i | ||||
\(508\) | −10.2941 | − | 0.588635i | −0.456725 | − | 0.0261165i | ||||
\(509\) | −9.81559 | + | 1.12623i | −0.435068 | + | 0.0499194i | −0.328759 | − | 0.944414i | \(-0.606631\pi\) |
−0.106309 | + | 0.994333i | \(0.533903\pi\) | |||||||
\(510\) | −0.563256 | − | 0.460572i | −0.0249414 | − | 0.0203945i | ||||
\(511\) | 8.74896 | − | 6.35649i | 0.387031 | − | 0.281194i | ||||
\(512\) | 0.696938 | + | 0.717132i | 0.0308006 | + | 0.0316930i | ||||
\(513\) | 0.492012 | + | 0.0564531i | 0.0217229 | + | 0.00249247i | ||||
\(514\) | 15.2513 | + | 2.63935i | 0.672707 | + | 0.116417i | ||||
\(515\) | 1.51088 | − | 2.86344i | 0.0665774 | − | 0.126178i | ||||
\(516\) | −2.07541 | − | 4.54452i | −0.0913650 | − | 0.200061i | ||||
\(517\) | −1.54453 | + | 17.0194i | −0.0679286 | + | 0.748510i | ||||
\(518\) | 0.737313 | − | 1.61449i | 0.0323957 | − | 0.0709366i | ||||
\(519\) | −4.31135 | − | 5.59106i | −0.189247 | − | 0.245420i | ||||
\(520\) | −1.90027 | − | 0.934300i | −0.0833324 | − | 0.0409718i | ||||
\(521\) | −7.52492 | + | 3.69976i | −0.329673 | + | 0.162089i | −0.598550 | − | 0.801085i | \(-0.704256\pi\) |
0.268878 | + | 0.963174i | \(0.413347\pi\) | |||||||
\(522\) | 6.50799 | − | 8.43971i | 0.284847 | − | 0.369396i | ||||
\(523\) | 12.9897 | + | 24.6182i | 0.567999 | + | 1.07648i | 0.985798 | + | 0.167938i | \(0.0537108\pi\) |
−0.417799 | + | 0.908540i | \(0.637198\pi\) | |||||||
\(524\) | −3.42769 | − | 10.5493i | −0.149739 | − | 0.460850i | ||||
\(525\) | −5.88003 | + | 2.48492i | −0.256626 | + | 0.108451i | ||||
\(526\) | −6.71901 | − | 17.2576i | −0.292963 | − | 0.752469i | ||||
\(527\) | 9.94532 | − | 6.39147i | 0.433225 | − | 0.278417i | ||||
\(528\) | 2.54012 | − | 3.67662i | 0.110545 | − | 0.160004i | ||||
\(529\) | −18.0370 | − | 11.5917i | −0.784219 | − | 0.503987i | ||||
\(530\) | −0.131512 | + | 0.649037i | −0.00571252 | + | 0.0281924i | ||||
\(531\) | 1.84512 | + | 3.05978i | 0.0800712 | + | 0.132783i | ||||
\(532\) | −0.00242817 | − | 0.0849970i | −0.000105274 | − | 0.00368509i | ||||
\(533\) | −22.6227 | + | 58.1059i | −0.979897 | + | 2.51685i | ||||
\(534\) | 2.99911 | + | 14.8012i | 0.129784 | + | 0.640510i | ||||
\(535\) | −1.73592 | + | 1.59322i | −0.0750506 | + | 0.0688808i | ||||
\(536\) | −0.401278 | + | 0.586850i | −0.0173326 | + | 0.0253481i | ||||
\(537\) | 1.49573 | + | 0.533677i | 0.0645457 | + | 0.0230299i | ||||
\(538\) | −16.1655 | − | 18.6559i | −0.696943 | − | 0.804315i | ||||
\(539\) | 16.9683 | − | 10.7896i | 0.730878 | − | 0.464740i | ||||
\(540\) | −1.20196 | + | 1.38714i | −0.0517241 | + | 0.0596928i | ||||
\(541\) | −8.18653 | + | 4.62315i | −0.351966 | + | 0.198765i | −0.657569 | − | 0.753395i | \(-0.728415\pi\) |
0.305602 | + | 0.952159i | \(0.401142\pi\) | |||||||
\(542\) | −0.801560 | + | 28.0583i | −0.0344299 | + | 1.20521i | ||||
\(543\) | −18.0225 | − | 7.61639i | −0.773421 | − | 0.326850i | ||||
\(544\) | 0.141952 | − | 1.65272i | 0.00608615 | − | 0.0708597i | ||||
\(545\) | −0.126959 | + | 1.47816i | −0.00543833 | + | 0.0633174i | ||||
\(546\) | 7.81525 | + | 3.30275i | 0.334462 | + | 0.141345i | ||||
\(547\) | 0.952103 | − | 33.3279i | 0.0407090 | − | 1.42500i | −0.680736 | − | 0.732529i | \(-0.738340\pi\) |
0.721445 | − | 0.692472i | \(-0.243478\pi\) | |||||||
\(548\) | 10.3638 | − | 5.85272i | 0.442721 | − | 0.250016i | ||||
\(549\) | 9.87875 | − | 11.4007i | 0.421615 | − | 0.486570i | ||||
\(550\) | 6.81402 | − | 14.7321i | 0.290551 | − | 0.628180i | ||||
\(551\) | −0.517511 | − | 0.597240i | −0.0220467 | − | 0.0254433i | ||||
\(552\) | −1.58467 | − | 0.565410i | −0.0674482 | − | 0.0240655i | ||||
\(553\) | 6.61157 | − | 9.66912i | 0.281153 | − | 0.411173i | ||||
\(554\) | −6.58922 | + | 6.04753i | −0.279949 | + | 0.256935i | ||||
\(555\) | 0.159703 | + | 0.788165i | 0.00677901 | + | 0.0334558i | ||||
\(556\) | 3.73058 | − | 9.58191i | 0.158212 | − | 0.406364i | ||||
\(557\) | −0.340964 | − | 11.9353i | −0.0144471 | − | 0.505715i | −0.974306 | − | 0.225230i | \(-0.927687\pi\) |
0.959858 | − | 0.280485i | \(-0.0904953\pi\) | |||||||
\(558\) | −4.35955 | − | 7.22949i | −0.184554 | − | 0.306049i | ||||
\(559\) | −4.78984 | + | 23.6388i | −0.202588 | + | 0.999814i | ||||
\(560\) | 0.265114 | + | 0.170379i | 0.0112031 | + | 0.00719981i | ||||
\(561\) | −7.36845 | + | 0.809458i | −0.311096 | + | 0.0341753i | ||||
\(562\) | −1.38779 | + | 0.891876i | −0.0585402 | + | 0.0376215i | ||||
\(563\) | −16.7817 | − | 43.1034i | −0.707263 | − | 1.81659i | −0.561887 | − | 0.827214i | \(-0.689924\pi\) |
−0.145376 | − | 0.989376i | \(-0.546439\pi\) | |||||||
\(564\) | −6.39493 | + | 2.70252i | −0.269275 | + | 0.113797i | ||||
\(565\) | 0.171349 | + | 0.527359i | 0.00720871 | + | 0.0221861i | ||||
\(566\) | 3.35696 | + | 6.36214i | 0.141103 | + | 0.267421i | ||||
\(567\) | 2.39007 | − | 3.09949i | 0.100373 | − | 0.130166i | ||||
\(568\) | 0.397350 | − | 0.195364i | 0.0166724 | − | 0.00819728i | ||||
\(569\) | 7.02532 | + | 3.45412i | 0.294517 | + | 0.144804i | 0.582499 | − | 0.812832i | \(-0.302075\pi\) |
−0.287982 | + | 0.957636i | \(0.592984\pi\) | |||||||
\(570\) | 0.0235264 | + | 0.0305096i | 0.000985414 | + | 0.00127791i | ||||
\(571\) | −11.3643 | + | 24.8844i | −0.475582 | + | 1.04138i | 0.508073 | + | 0.861314i | \(0.330358\pi\) |
−0.983655 | + | 0.180065i | \(0.942369\pi\) | |||||||
\(572\) | −20.3539 | + | 7.15175i | −0.851038 | + | 0.299030i | ||||
\(573\) | −3.71835 | − | 8.14206i | −0.155336 | − | 0.340139i | ||||
\(574\) | 4.33063 | − | 8.20745i | 0.180757 | − | 0.342572i | ||||
\(575\) | −6.02184 | − | 1.04212i | −0.251128 | − | 0.0434594i | ||||
\(576\) | −1.17685 | − | 0.135031i | −0.0490353 | − | 0.00562628i | ||||
\(577\) | −0.0166620 | − | 0.0171448i | −0.000693650 | − | 0.000713749i | 0.716785 | − | 0.697294i | \(-0.245613\pi\) |
−0.717479 | + | 0.696581i | \(0.754704\pi\) | |||||||
\(578\) | 11.5272 | − | 8.37498i | 0.479467 | − | 0.348353i | ||||
\(579\) | 3.97026 | + | 3.24647i | 0.164999 | + | 0.134919i | ||||
\(580\) | 2.90975 | − | 0.333863i | 0.120821 | − | 0.0138629i | ||||
\(581\) | −15.6769 | − | 0.896435i | −0.650386 | − | 0.0371904i | ||||
\(582\) | −8.86253 | − | 2.60227i | −0.367364 | − | 0.107868i | ||||
\(583\) | 3.78132 | + | 5.58767i | 0.156606 | + | 0.231417i | ||||
\(584\) | −10.7185 | + | 3.14724i | −0.443536 | + | 0.130234i | ||||
\(585\) | 2.44318 | − | 0.568136i | 0.101013 | − | 0.0234895i | ||||
\(586\) | 8.47666 | + | 7.77981i | 0.350168 | + | 0.321381i | ||||
\(587\) | 9.61358 | − | 15.9423i | 0.396795 | − | 0.658010i | −0.592228 | − | 0.805770i | \(-0.701752\pi\) |
0.989023 | + | 0.147760i | \(0.0472062\pi\) | |||||||
\(588\) | 7.11308 | + | 4.01694i | 0.293339 | + | 0.165656i | ||||
\(589\) | −0.589591 | + | 0.210366i | −0.0242937 | + | 0.00866797i | ||||
\(590\) | −0.249624 | + | 0.949669i | −0.0102769 | + | 0.0390973i | ||||
\(591\) | 15.3865 | − | 12.5815i | 0.632915 | − | 0.517532i | ||||
\(592\) | −1.27779 | + | 1.31481i | −0.0525167 | + | 0.0540384i | ||||
\(593\) | 3.29808 | − | 22.9386i | 0.135436 | − | 0.941977i | −0.802866 | − | 0.596159i | \(-0.796693\pi\) |
0.938302 | − | 0.345817i | \(-0.112398\pi\) | |||||||
\(594\) | 1.51034 | + | 18.6387i | 0.0619700 | + | 0.764755i | ||||
\(595\) | −0.0743963 | − | 0.517437i | −0.00304995 | − | 0.0212129i | ||||
\(596\) | 14.9654 | + | 10.8730i | 0.613008 | + | 0.445377i | ||||
\(597\) | 2.73311 | + | 10.3978i | 0.111859 | + | 0.425556i | ||||
\(598\) | 4.58480 | + | 6.70506i | 0.187487 | + | 0.274190i | ||||
\(599\) | −37.4189 | − | 8.70139i | −1.52889 | − | 0.355529i | −0.624089 | − | 0.781354i | \(-0.714530\pi\) |
−0.904806 | + | 0.425824i | \(0.859984\pi\) | |||||||
\(600\) | 6.58335 | − | 0.376450i | 0.268764 | − | 0.0153685i | ||||
\(601\) | 37.2517 | − | 6.44666i | 1.51953 | − | 0.262965i | 0.651181 | − | 0.758922i | \(-0.274274\pi\) |
0.868347 | + | 0.495957i | \(0.165183\pi\) | |||||||
\(602\) | 1.10923 | − | 3.41385i | 0.0452087 | − | 0.139138i | ||||
\(603\) | −0.0720662 | − | 0.839052i | −0.00293476 | − | 0.0341688i | ||||
\(604\) | 20.2547 | 0.824150 | ||||||||
\(605\) | 1.26693 | + | 3.34930i | 0.0515079 | + | 0.136168i | ||||
\(606\) | 17.5984 | 0.714888 | ||||||||
\(607\) | −0.578115 | − | 6.73087i | −0.0234650 | − | 0.273198i | −0.998656 | − | 0.0518319i | \(-0.983494\pi\) |
0.975191 | − | 0.221366i | \(-0.0710515\pi\) | |||||||
\(608\) | −0.0271430 | + | 0.0835375i | −0.00110079 | + | 0.00338789i | ||||
\(609\) | −11.5633 | + | 2.00112i | −0.468570 | + | 0.0810893i | ||||
\(610\) | 4.13890 | − | 0.236671i | 0.167579 | − | 0.00958252i | ||||
\(611\) | 32.6454 | + | 7.59136i | 1.32069 | + | 0.307114i | ||||
\(612\) | 1.10911 | + | 1.62203i | 0.0448332 | + | 0.0655665i | ||||
\(613\) | 5.62921 | + | 21.4157i | 0.227362 | + | 0.864973i | 0.978741 | + | 0.205102i | \(0.0657527\pi\) |
−0.751379 | + | 0.659871i | \(0.770611\pi\) | |||||||
\(614\) | −0.817404 | − | 0.593879i | −0.0329877 | − | 0.0239670i | ||||
\(615\) | 0.598382 | + | 4.16184i | 0.0241291 | + | 0.167821i | ||||
\(616\) | 3.13075 | − | 0.712122i | 0.126141 | − | 0.0286922i | ||||
\(617\) | −1.43860 | + | 10.0057i | −0.0579157 | + | 0.402812i | 0.940156 | + | 0.340744i | \(0.110679\pi\) |
−0.998072 | + | 0.0620687i | \(0.980230\pi\) | |||||||
\(618\) | 9.33913 | − | 9.60974i | 0.375675 | − | 0.386560i | ||||
\(619\) | −34.9971 | + | 28.6170i | −1.40665 | + | 1.15021i | −0.438830 | + | 0.898570i | \(0.644607\pi\) |
−0.967820 | + | 0.251642i | \(0.919029\pi\) | |||||||
\(620\) | 0.589799 | − | 2.24383i | 0.0236869 | − | 0.0901143i | ||||
\(621\) | 6.63118 | − | 2.36600i | 0.266100 | − | 0.0949443i | ||||
\(622\) | 21.2228 | + | 11.9851i | 0.850956 | + | 0.480557i | ||||
\(623\) | −5.60316 | + | 9.29180i | −0.224486 | + | 0.372268i | ||||
\(624\) | −6.45706 | − | 5.92623i | −0.258489 | − | 0.237239i | ||||
\(625\) | 22.8129 | − | 5.30492i | 0.912517 | − | 0.212197i | ||||
\(626\) | −30.7739 | + | 9.03603i | −1.22997 | + | 0.361152i | ||||
\(627\) | 0.389741 | + | 0.0466245i | 0.0155647 | + | 0.00186200i | ||||
\(628\) | −14.7322 | − | 4.32577i | −0.587880 | − | 0.172617i | ||||
\(629\) | 3.03634 | + | 0.173624i | 0.121067 | + | 0.00692285i | ||||
\(630\) | −0.370874 | + | 0.0425538i | −0.0147760 | + | 0.00169538i | ||||
\(631\) | 24.0179 | + | 19.6393i | 0.956137 | + | 0.781829i | 0.975955 | − | 0.217974i | \(-0.0699449\pi\) |
−0.0198174 | + | 0.999804i | \(0.506309\pi\) | |||||||
\(632\) | −9.78896 | + | 7.11210i | −0.389384 | + | 0.282904i | ||||
\(633\) | −14.1175 | − | 14.5265i | −0.561119 | − | 0.577377i | ||||
\(634\) | 18.3011 | + | 2.09986i | 0.726830 | + | 0.0833960i | ||||
\(635\) | 3.30741 | + | 0.572370i | 0.131251 | + | 0.0227138i | ||||
\(636\) | −1.27910 | + | 2.42416i | −0.0507195 | + | 0.0961242i | ||||
\(637\) | −16.3828 | − | 35.8734i | −0.649111 | − | 1.42135i | ||||
\(638\) | 18.3352 | − | 23.5418i | 0.725899 | − | 0.932030i | ||||
\(639\) | −0.217886 | + | 0.477105i | −0.00861946 | + | 0.0188740i | ||||
\(640\) | −0.198789 | − | 0.257794i | −0.00785781 | − | 0.0101902i | ||||
\(641\) | −34.2776 | − | 16.8531i | −1.35388 | − | 0.665659i | −0.387285 | − | 0.921960i | \(-0.626587\pi\) |
−0.966597 | + | 0.256301i | \(0.917496\pi\) | |||||||
\(642\) | −8.75166 | + | 4.30290i | −0.345401 | + | 0.169822i | ||||
\(643\) | −6.23560 | + | 8.08647i | −0.245908 | + | 0.318899i | −0.898638 | − | 0.438692i | \(-0.855442\pi\) |
0.652729 | + | 0.757591i | \(0.273624\pi\) | |||||||
\(644\) | −0.564136 | − | 1.06916i | −0.0222301 | − | 0.0421307i | ||||
\(645\) | 0.502580 | + | 1.54678i | 0.0197891 | + | 0.0609045i | ||||
\(646\) | 0.134211 | − | 0.0567180i | 0.00528046 | − | 0.00223154i | ||||
\(647\) | −9.46410 | − | 24.3083i | −0.372072 | − | 0.955659i | −0.986067 | − | 0.166349i | \(-0.946802\pi\) |
0.613995 | − | 0.789310i | \(-0.289562\pi\) | |||||||
\(648\) | −3.40126 | + | 2.18586i | −0.133614 | + | 0.0858687i | ||||
\(649\) | 5.12468 | + | 8.59178i | 0.201161 | + | 0.337257i | ||||
\(650\) | −26.7808 | − | 17.2110i | −1.05043 | − | 0.675069i | ||||
\(651\) | −1.84608 | + | 9.11077i | −0.0723536 | + | 0.357079i | ||||
\(652\) | −7.36583 | − | 12.2149i | −0.288468 | − | 0.478371i | ||||
\(653\) | −0.453173 | − | 15.8631i | −0.0177340 | − | 0.620772i | −0.959049 | − | 0.283241i | \(-0.908590\pi\) |
0.941315 | − | 0.337530i | \(-0.109592\pi\) | |||||||
\(654\) | −2.22784 | + | 5.72215i | −0.0871153 | + | 0.223754i | ||||
\(655\) | 0.717097 | + | 3.53901i | 0.0280193 | + | 0.138281i | ||||
\(656\) | −7.06241 | + | 6.48182i | −0.275741 | + | 0.253072i | ||||
\(657\) | 7.46919 | − | 10.9233i | 0.291401 | − | 0.426160i | ||||
\(658\) | −4.69799 | − | 1.67624i | −0.183147 | − | 0.0653467i | ||||
\(659\) | 12.4267 | + | 14.3412i | 0.484075 | + | 0.558652i | 0.944273 | − | 0.329164i | \(-0.106767\pi\) |
−0.460198 | + | 0.887816i | \(0.652222\pi\) | |||||||
\(660\) | −0.957948 | + | 1.09481i | −0.0372881 | + | 0.0426156i | ||||
\(661\) | 28.0152 | − | 32.3313i | 1.08966 | − | 1.25754i | 0.125540 | − | 0.992089i | \(-0.459934\pi\) |
0.964124 | − | 0.265451i | \(-0.0855210\pi\) | |||||||
\(662\) | −18.6091 | + | 10.5090i | −0.723262 | + | 0.408445i | ||||
\(663\) | −0.415157 | + | 14.5324i | −0.0161234 | + | 0.564392i | ||||
\(664\) | 14.9410 | + | 6.31413i | 0.579824 | + | 0.245036i | ||||
\(665\) | −0.00236880 | + | 0.0275794i | −9.18581e−5 | + | 0.00106948i | ||||
\(666\) | 0.185854 | − | 2.16386i | 0.00720169 | − | 0.0838477i | ||||
\(667\) | −10.3487 | − | 4.37338i | −0.400702 | − | 0.169338i | ||||
\(668\) | −0.229830 | + | 8.04512i | −0.00889241 | + | 0.311275i | ||||
\(669\) | −2.75050 | + | 1.55328i | −0.106340 | + | 0.0600532i | ||||
\(670\) | 0.151556 | − | 0.174905i | 0.00585513 | − | 0.00675718i | ||||
\(671\) | 27.8128 | − | 31.7865i | 1.07370 | − | 1.22711i | ||||
\(672\) | 0.854170 | + | 0.985765i | 0.0329503 | + | 0.0380267i | ||||
\(673\) | −5.61368 | − | 2.00296i | −0.216392 | − | 0.0772084i | 0.225629 | − | 0.974213i | \(-0.427556\pi\) |
−0.442020 | + | 0.897005i | \(0.645738\pi\) | |||||||
\(674\) | −2.70331 | + | 3.95346i | −0.104127 | + | 0.152282i | ||||
\(675\) | −20.3293 | + | 18.6580i | −0.782474 | + | 0.718148i | ||||
\(676\) | 5.82101 | + | 28.7278i | 0.223885 | + | 1.10492i | ||||
\(677\) | −2.09879 | + | 5.39070i | −0.0806631 | + | 0.207181i | −0.966420 | − | 0.256968i | \(-0.917276\pi\) |
0.885757 | + | 0.464150i | \(0.153640\pi\) | |||||||
\(678\) | 0.0655371 | + | 2.29410i | 0.00251694 | + | 0.0881043i | ||||
\(679\) | −3.42701 | − | 5.68306i | −0.131517 | − | 0.218096i | ||||
\(680\) | −0.107239 | + | 0.529247i | −0.00411244 | + | 0.0202957i | ||||
\(681\) | 5.87176 | + | 3.77355i | 0.225006 | + | 0.144603i | ||||
\(682\) | −12.1083 | − | 20.3002i | −0.463652 | − | 0.777335i | ||||
\(683\) | 31.9166 | − | 20.5116i | 1.22125 | − | 0.784853i | 0.238748 | − | 0.971081i | \(-0.423263\pi\) |
0.982506 | + | 0.186229i | \(0.0596265\pi\) | |||||||
\(684\) | −0.0377496 | − | 0.0969590i | −0.00144339 | − | 0.00370732i | ||||
\(685\) | −3.56900 | + | 1.50827i | −0.136365 | + | 0.0576282i | ||||
\(686\) | 3.90774 | + | 12.0268i | 0.149198 | + | 0.459185i | ||||
\(687\) | 1.87442 | + | 3.55242i | 0.0715135 | + | 0.135533i | ||||
\(688\) | −2.26424 | + | 2.93632i | −0.0863235 | + | 0.111946i | ||||
\(689\) | 11.8747 | − | 5.83838i | 0.452389 | − | 0.222425i | ||||
\(690\) | 0.491526 | + | 0.241667i | 0.0187121 | + | 0.00920011i | ||||
\(691\) | 19.2903 | + | 25.0161i | 0.733837 | + | 0.951656i | 0.999924 | − | 0.0122924i | \(-0.00391290\pi\) |
−0.266088 | + | 0.963949i | \(0.585731\pi\) | |||||||
\(692\) | −2.17678 | + | 4.76649i | −0.0827488 | + | 0.181195i | ||||
\(693\) | −2.33699 | + | 3.00061i | −0.0887748 | + | 0.113984i | ||||
\(694\) | 12.9300 | + | 28.3128i | 0.490816 | + | 1.07474i | ||||
\(695\) | −1.56210 | + | 2.96050i | −0.0592537 | + | 0.112298i | ||||
\(696\) | 11.9448 | + | 2.06712i | 0.452765 | + | 0.0783541i | ||||
\(697\) | 15.7977 | + | 1.81261i | 0.598379 | + | 0.0686576i | ||||
\(698\) | 3.26128 | + | 3.35578i | 0.123441 | + | 0.127018i | ||||
\(699\) | 0.451014 | − | 0.327681i | 0.0170589 | − | 0.0123940i | ||||
\(700\) | 3.66769 | + | 2.99905i | 0.138626 | + | 0.113354i | ||||
\(701\) | 7.31511 | − | 0.839331i | 0.276288 | − | 0.0317011i | 0.0252599 | − | 0.999681i | \(-0.491959\pi\) |
0.251028 | + | 0.967980i | \(0.419231\pi\) | |||||||
\(702\) | 36.6152 | + | 2.09373i | 1.38195 | + | 0.0790229i | ||||
\(703\) | −0.154519 | − | 0.0453708i | −0.00582778 | − | 0.00171119i | ||||
\(704\) | −3.29314 | − | 0.393957i | −0.124115 | − | 0.0148478i | ||||
\(705\) | 2.16850 | − | 0.636730i | 0.0816705 | − | 0.0239806i | ||||
\(706\) | −30.9589 | + | 7.19918i | −1.16515 | + | 0.270945i | ||||
\(707\) | 9.31547 | + | 8.54966i | 0.350344 | + | 0.321543i | ||||
\(708\) | −2.09871 | + | 3.48033i | −0.0788745 | + | 0.130799i | ||||
\(709\) | 20.6955 | + | 11.6873i | 0.777236 | + | 0.438925i | 0.828660 | − | 0.559752i | \(-0.189103\pi\) |
−0.0514246 | + | 0.998677i | \(0.516376\pi\) | |||||||
\(710\) | −0.135759 | + | 0.0484386i | −0.00509493 | + | 0.00181787i | ||||
\(711\) | 3.64373 | − | 13.8622i | 0.136651 | − | 0.519873i | ||||
\(712\) | 8.67689 | − | 7.09506i | 0.325180 | − | 0.265899i | ||||
\(713\) | −6.20242 | + | 6.38214i | −0.232283 | + | 0.239013i | ||||
\(714\) | 0.307922 | − | 2.14164i | 0.0115237 | − | 0.0801490i | ||||
\(715\) | 6.84814 | − | 1.55768i | 0.256106 | − | 0.0582541i | ||||
\(716\) | −0.167740 | − | 1.16665i | −0.00626872 | − | 0.0435999i | ||||
\(717\) | −6.35910 | − | 4.62016i | −0.237485 | − | 0.172543i | ||||
\(718\) | 3.23587 | + | 12.3105i | 0.120762 | + | 0.459425i | ||||
\(719\) | 6.75005 | + | 9.87164i | 0.251734 | + | 0.368150i | 0.930554 | − | 0.366156i | \(-0.119326\pi\) |
−0.678819 | + | 0.734305i | \(0.737508\pi\) | |||||||
\(720\) | 0.375600 | + | 0.0873419i | 0.0139978 | + | 0.00325504i | ||||
\(721\) | 9.61212 | − | 0.549641i | 0.357974 | − | 0.0204697i | ||||
\(722\) | 18.7141 | − | 3.23861i | 0.696467 | − | 0.120528i | ||||
\(723\) | −0.0498402 | + | 0.153392i | −0.00185358 | + | 0.00570473i | ||||
\(724\) | 1.24267 | + | 14.4681i | 0.0461834 | + | 0.537703i | ||||
\(725\) | 44.0313 | 1.63528 | ||||||||
\(726\) | 1.12580 | + | 14.7784i | 0.0417822 | + | 0.548476i | ||||
\(727\) | −40.5439 | −1.50369 | −0.751844 | − | 0.659341i | \(-0.770836\pi\) | ||||
−0.751844 | + | 0.659341i | \(0.770836\pi\) | |||||||
\(728\) | −0.538868 | − | 6.27392i | −0.0199718 | − | 0.232527i | ||||
\(729\) | 8.52260 | − | 26.2299i | 0.315652 | − | 0.971476i | ||||
\(730\) | 3.58332 | − | 0.620118i | 0.132625 | − | 0.0229516i | ||||
\(731\) | 6.14071 | − | 0.351139i | 0.227122 | − | 0.0129873i | ||||
\(732\) | 16.7127 | + | 3.88638i | 0.617720 | + | 0.143645i | ||||
\(733\) | −0.635887 | − | 0.929955i | −0.0234870 | − | 0.0343487i | 0.813550 | − | 0.581495i | \(-0.197532\pi\) |
−0.837037 | + | 0.547147i | \(0.815714\pi\) | |||||||
\(734\) | −1.62922 | − | 6.19820i | −0.0601357 | − | 0.228780i | ||||
\(735\) | −2.15142 | − | 1.56310i | −0.0793562 | − | 0.0576557i | ||||
\(736\) | 0.177714 | + | 1.23603i | 0.00655061 | + | 0.0455605i | ||||
\(737\) | −0.190440 | − | 2.35017i | −0.00701496 | − | 0.0865697i | ||||
\(738\) | 1.61603 | − | 11.2397i | 0.0594867 | − | 0.413739i | ||||
\(739\) | −31.0304 | + | 31.9295i | −1.14147 | + | 1.17455i | −0.159167 | + | 0.987252i | \(0.550881\pi\) |
−0.982304 | + | 0.187294i | \(0.940028\pi\) | |||||||
\(740\) | 0.462046 | − | 0.377813i | 0.0169851 | − | 0.0138887i | ||||
\(741\) | 0.195705 | − | 0.744539i | 0.00718940 | − | 0.0273513i | ||||
\(742\) | −1.85478 | + | 0.661782i | −0.0680909 | + | 0.0242948i | ||||
\(743\) | 37.4094 | + | 21.1261i | 1.37242 | + | 0.775040i | 0.988913 | − | 0.148499i | \(-0.0474440\pi\) |
0.383505 | + | 0.923539i | \(0.374717\pi\) | |||||||
\(744\) | 4.95873 | − | 8.22314i | 0.181796 | − | 0.301475i | ||||
\(745\) | −4.43657 | − | 4.07185i | −0.162543 | − | 0.149181i | ||||
\(746\) | −14.2460 | + | 3.31276i | −0.521582 | + | 0.121289i | ||||
\(747\) | −18.4359 | + | 5.41327i | −0.674534 | + | 0.198061i | ||||
\(748\) | 3.08341 | + | 4.55637i | 0.112741 | + | 0.166597i | ||||
\(749\) | −6.72299 | − | 1.97405i | −0.245653 | − | 0.0721302i | ||||
\(750\) | −4.33266 | − | 0.247750i | −0.158206 | − | 0.00904657i | ||||
\(751\) | 41.2513 | − | 4.73315i | 1.50528 | − | 0.172715i | 0.678234 | − | 0.734846i | \(-0.262745\pi\) |
0.827048 | + | 0.562131i | \(0.190018\pi\) | |||||||
\(752\) | 3.98885 | + | 3.26167i | 0.145459 | + | 0.118941i | ||||
\(753\) | 0.589721 | − | 0.428457i | 0.0214906 | − | 0.0156138i | ||||
\(754\) | −40.7868 | − | 41.9686i | −1.48537 | − | 1.52841i | ||||
\(755\) | −6.55066 | − | 0.751619i | −0.238403 | − | 0.0273542i | ||||
\(756\) | −5.37822 | − | 0.930737i | −0.195604 | − | 0.0338506i | ||||
\(757\) | 1.05705 | − | 2.00334i | 0.0384193 | − | 0.0728126i | −0.864474 | − | 0.502678i | \(-0.832348\pi\) |
0.902893 | + | 0.429865i | \(0.141439\pi\) | |||||||
\(758\) | 7.30363 | + | 15.9927i | 0.265280 | + | 0.580882i | ||||
\(759\) | 5.26475 | − | 1.84988i | 0.191098 | − | 0.0671463i | ||||
\(760\) | 0.0118784 | − | 0.0260101i | 0.000430875 | − | 0.000943484i | ||||
\(761\) | 11.0509 | + | 14.3310i | 0.400594 | + | 0.519500i | 0.948387 | − | 0.317114i | \(-0.102714\pi\) |
−0.547793 | + | 0.836614i | \(0.684532\pi\) | |||||||
\(762\) | 12.4672 | + | 6.12973i | 0.451641 | + | 0.222057i | ||||
\(763\) | −3.95920 | + | 1.94661i | −0.143333 | + | 0.0704719i | ||||
\(764\) | −4.05667 | + | 5.26078i | −0.146765 | + | 0.190328i | ||||
\(765\) | −0.298513 | − | 0.565745i | −0.0107928 | − | 0.0204546i | ||||
\(766\) | 5.82316 | + | 17.9218i | 0.210399 | + | 0.647543i | ||||
\(767\) | 18.0729 | − | 7.63766i | 0.652574 | − | 0.275780i | ||||
\(768\) | −0.488840 | − | 1.25557i | −0.0176395 | − | 0.0453066i | ||||
\(769\) | 25.5804 | − | 16.4395i | 0.922451 | − | 0.592823i | 0.00908338 | − | 0.999959i | \(-0.497109\pi\) |
0.913368 | + | 0.407135i | \(0.133472\pi\) | |||||||
\(770\) | −1.03896 | + | 0.114134i | −0.0374414 | + | 0.00411311i | ||||
\(771\) | −17.5441 | − | 11.2749i | −0.631837 | − | 0.406057i | ||||
\(772\) | 0.755905 | − | 3.73054i | 0.0272056 | − | 0.134265i | ||||
\(773\) | 7.44824 | + | 12.3515i | 0.267895 | + | 0.444253i | 0.960986 | − | 0.276596i | \(-0.0892064\pi\) |
−0.693092 | + | 0.720849i | \(0.743752\pi\) | |||||||
\(774\) | −0.125427 | − | 4.39052i | −0.00450838 | − | 0.157814i | ||||
\(775\) | 12.6543 | − | 32.5024i | 0.454557 | − | 1.16752i | ||||
\(776\) | 1.36140 | + | 6.71875i | 0.0488712 | + | 0.241189i | ||||
\(777\) | −1.76187 | + | 1.61703i | −0.0632068 | + | 0.0580107i | ||||
\(778\) | −20.5948 | + | 30.1189i | −0.738359 | + | 1.07982i | ||||
\(779\) | −0.793034 | − | 0.282954i | −0.0284134 | − | 0.0101379i | ||||
\(780\) | 1.86840 | + | 2.15625i | 0.0668993 | + | 0.0772060i | ||||
\(781\) | −0.616488 | + | 1.33287i | −0.0220597 | + | 0.0476938i | ||||
\(782\) | 1.35648 | − | 1.56547i | 0.0485078 | − | 0.0559810i | ||||
\(783\) | −44.1700 | + | 24.9440i | −1.57851 | + | 0.891425i | ||||
\(784\) | 0.173131 | − | 6.06037i | 0.00618325 | − | 0.216442i | ||||
\(785\) | 4.60410 | + | 1.94571i | 0.164327 | + | 0.0694453i | ||||
\(786\) | −1.27896 | + | 14.8906i | −0.0456189 | + | 0.531131i | ||||
\(787\) | 0.399240 | − | 4.64826i | 0.0142314 | − | 0.165693i | −0.985766 | − | 0.168125i | \(-0.946229\pi\) |
0.999997 | + | 0.00243233i | \(0.000774237\pi\) | |||||||
\(788\) | −13.5877 | − | 5.74222i | −0.484043 | − | 0.204558i | ||||
\(789\) | −0.712553 | + | 24.9426i | −0.0253675 | + | 0.887980i | ||||
\(790\) | 3.42982 | − | 1.93691i | 0.122027 | − | 0.0689121i | ||||
\(791\) | −1.07983 | + | 1.24619i | −0.0383942 | + | 0.0443092i | ||||
\(792\) | 3.31530 | − | 2.10809i | 0.117804 | − | 0.0749075i | ||||
\(793\) | −54.2465 | − | 62.6038i | −1.92635 | − | 2.22313i | ||||
\(794\) | 24.5468 | + | 8.75830i | 0.871135 | + | 0.310820i | ||||
\(795\) | 0.503637 | − | 0.736545i | 0.0178621 | − | 0.0261226i | ||||
\(796\) | 5.87863 | − | 5.39536i | 0.208362 | − | 0.191233i | ||||
\(797\) | 0.563666 | + | 2.78180i | 0.0199661 | + | 0.0985364i | 0.988826 | − | 0.149071i | \(-0.0476284\pi\) |
−0.968860 | + | 0.247608i | \(0.920356\pi\) | |||||||
\(798\) | −0.0415668 | + | 0.106764i | −0.00147145 | + | 0.00377939i | ||||
\(799\) | −0.244074 | − | 8.54369i | −0.00863471 | − | 0.302254i | ||||
\(800\) | −2.52726 | − | 4.19099i | −0.0893522 | − | 0.148174i | ||||
\(801\) | −2.63671 | + | 13.0127i | −0.0931636 | + | 0.459780i | ||||
\(802\) | 20.3841 | + | 13.1001i | 0.719788 | + | 0.462579i | ||||
\(803\) | 21.0600 | − | 30.4826i | 0.743190 | − | 1.07571i | ||||
\(804\) | 0.805826 | − | 0.517873i | 0.0284193 | − | 0.0182640i | ||||
\(805\) | 0.142775 | + | 0.366716i | 0.00503217 | + | 0.0129250i | ||||
\(806\) | −42.7016 | + | 18.0459i | −1.50410 | + | 0.635639i | ||||
\(807\) | 10.2781 | + | 31.6326i | 0.361805 | + | 1.11352i | ||||
\(808\) | −6.09525 | − | 11.5518i | −0.214430 | − | 0.406390i | ||||
\(809\) | −12.3807 | + | 16.0556i | −0.435284 | + | 0.564486i | −0.957539 | − | 0.288303i | \(-0.906909\pi\) |
0.522256 | + | 0.852789i | \(0.325091\pi\) | |||||||
\(810\) | 1.18113 | − | 0.580725i | 0.0415008 | − | 0.0204046i | ||||
\(811\) | −23.4253 | − | 11.5174i | −0.822573 | − | 0.404432i | −0.0191324 | − | 0.999817i | \(-0.506090\pi\) |
−0.803440 | + | 0.595385i | \(0.796999\pi\) | |||||||
\(812\) | 5.31854 | + | 6.89720i | 0.186644 | + | 0.242044i | ||||
\(813\) | 15.7112 | − | 34.4028i | 0.551017 | − | 1.20656i | ||||
\(814\) | 0.549584 | − | 6.05591i | 0.0192629 | − | 0.212260i | ||||
\(815\) | 1.92895 | + | 4.22381i | 0.0675681 | + | 0.147953i | ||||
\(816\) | −1.04302 | + | 1.97674i | −0.0365130 | + | 0.0691998i | ||||
\(817\) | −0.320922 | − | 0.0555378i | −0.0112276 | − | 0.00194302i | ||||
\(818\) | −9.55171 | − | 1.09596i | −0.333968 | − | 0.0383192i | ||||
\(819\) | 5.19864 | + | 5.34927i | 0.181655 | + | 0.186919i | ||||
\(820\) | 2.52462 | − | 1.83424i | 0.0881635 | − | 0.0640546i | ||||
\(821\) | −23.4404 | − | 19.1671i | −0.818075 | − | 0.668937i | 0.128397 | − | 0.991723i | \(-0.459017\pi\) |
−0.946472 | + | 0.322786i | \(0.895381\pi\) | |||||||
\(822\) | −15.9323 | + | 1.82806i | −0.555703 | + | 0.0637610i | ||||
\(823\) | −17.1780 | − | 0.982272i | −0.598786 | − | 0.0342398i | −0.244932 | − | 0.969540i | \(-0.578766\pi\) |
−0.353855 | + | 0.935300i | \(0.615129\pi\) | |||||||
\(824\) | −9.54255 | − | 2.80195i | −0.332431 | − | 0.0976104i | ||||
\(825\) | −16.1838 | + | 14.7102i | −0.563448 | + | 0.512142i | ||||
\(826\) | −2.80173 | + | 0.822663i | −0.0974847 | + | 0.0286241i | ||||
\(827\) | 40.4764 | − | 9.41239i | 1.40750 | − | 0.327301i | 0.547165 | − | 0.837024i | \(-0.315707\pi\) |
0.860338 | + | 0.509723i | \(0.170252\pi\) | |||||||
\(828\) | −1.08980 | − | 1.00021i | −0.0378731 | − | 0.0347596i | ||||
\(829\) | 9.24151 | − | 15.3253i | 0.320971 | − | 0.532271i | −0.653459 | − | 0.756962i | \(-0.726683\pi\) |
0.974430 | + | 0.224691i | \(0.0721374\pi\) | |||||||
\(830\) | −4.59785 | − | 2.59652i | −0.159594 | − | 0.0901266i | ||||
\(831\) | 11.3498 | − | 4.04960i | 0.393720 | − | 0.140479i | ||||
\(832\) | −1.65362 | + | 6.29104i | −0.0573291 | + | 0.218102i | ||||
\(833\) | −7.78560 | + | 6.36625i | −0.269755 | + | 0.220578i | ||||
\(834\) | −9.65569 | + | 9.93547i | −0.334349 | + | 0.344037i | ||||
\(835\) | 0.372872 | − | 2.59338i | 0.0129038 | − | 0.0897478i | ||||
\(836\) | −0.104383 | − | 0.271978i | −0.00361015 | − | 0.00940656i | ||||
\(837\) | 5.71857 | + | 39.7735i | 0.197663 | + | 1.37477i | ||||
\(838\) | −20.6521 | − | 15.0046i | −0.713415 | − | 0.518326i | ||||
\(839\) | 11.3940 | + | 43.3475i | 0.393366 | + | 1.49652i | 0.809447 | + | 0.587193i | \(0.199767\pi\) |
−0.416081 | + | 0.909328i | \(0.636597\pi\) | |||||||
\(840\) | −0.239671 | − | 0.350508i | −0.00826945 | − | 0.0120937i | ||||
\(841\) | 50.5953 | + | 11.7654i | 1.74467 | + | 0.405705i | ||||
\(842\) | −33.7469 | + | 1.92972i | −1.16300 | + | 0.0665025i | ||||
\(843\) | 2.19017 | − | 0.379024i | 0.0754334 | − | 0.0130543i | ||||
\(844\) | −4.64574 | + | 14.2981i | −0.159913 | + | 0.492162i | ||||
\(845\) | −0.816558 | − | 9.50702i | −0.0280905 | − | 0.327051i | ||||
\(846\) | −6.10363 | −0.209847 | ||||||||
\(847\) | −6.58368 | + | 8.36963i | −0.226218 | + | 0.287584i | ||||
\(848\) | 2.03426 | 0.0698568 | ||||||||
\(849\) | −0.829421 | − | 9.65677i | −0.0284657 | − | 0.331420i | ||||
\(850\) | −2.50867 | + | 7.72089i | −0.0860467 | + | 0.264824i | ||||
\(851\) | −2.25594 | + | 0.390406i | −0.0773326 | + | 0.0133829i | ||||
\(852\) | −0.595619 | + | 0.0340588i | −0.0204056 | + | 0.00116683i | ||||
\(853\) | 20.7039 | + | 4.81448i | 0.708887 | + | 0.164845i | 0.565411 | − | 0.824809i | \(-0.308718\pi\) |
0.143476 | + | 0.989654i | \(0.454172\pi\) | |||||||
\(854\) | 6.95855 | + | 10.1766i | 0.238117 | + | 0.348235i | ||||
\(855\) | 0.00861079 | + | 0.0327588i | 0.000294483 | + | 0.00112033i | ||||
\(856\) | 5.85562 | + | 4.25436i | 0.200141 | + | 0.145411i | ||||
\(857\) | 6.47166 | + | 45.0114i | 0.221068 | + | 1.53756i | 0.734011 | + | 0.679137i | \(0.237646\pi\) |
−0.512943 | + | 0.858422i | \(0.671445\pi\) | |||||||
\(858\) | 29.0123 | + | 1.79944i | 0.990464 | + | 0.0614317i | ||||
\(859\) | −2.78794 | + | 19.3906i | −0.0951233 | + | 0.661597i | 0.885347 | + | 0.464931i | \(0.153921\pi\) |
−0.980470 | + | 0.196667i | \(0.936988\pi\) | |||||||
\(860\) | 0.841253 | − | 0.865629i | 0.0286865 | − | 0.0295177i | ||||
\(861\) | −9.67951 | + | 7.91490i | −0.329877 | + | 0.269739i | ||||
\(862\) | 10.0063 | − | 38.0681i | 0.340818 | − | 1.29660i | ||||
\(863\) | −37.9546 | + | 13.5422i | −1.29199 | + | 0.460981i | −0.890542 | − | 0.454901i | \(-0.849675\pi\) |
−0.401448 | + | 0.915882i | \(0.631493\pi\) | |||||||
\(864\) | 4.90944 | + | 2.77249i | 0.167023 | + | 0.0943220i | ||||
\(865\) | 0.880881 | − | 1.46078i | 0.0299509 | − | 0.0496679i | ||||
\(866\) | −17.7039 | − | 16.2485i | −0.601603 | − | 0.552146i | ||||
\(867\) | −18.6990 | + | 4.34828i | −0.635053 | + | 0.147675i | ||||
\(868\) | 6.61979 | − | 1.94375i | 0.224690 | − | 0.0659750i | ||||
\(869\) | 10.3890 | − | 38.7625i | 0.352424 | − | 1.31493i | ||||
\(870\) | −3.78641 | − | 1.11179i | −0.128371 | − | 0.0376932i | ||||
\(871\) | −4.61685 | − | 0.264001i | −0.156436 | − | 0.00894533i | ||||
\(872\) | 4.52769 | − | 0.519504i | 0.153327 | − | 0.0175926i | ||||
\(873\) | −6.28647 | − | 5.14042i | −0.212765 | − | 0.173977i | ||||
\(874\) | −0.0887367 | + | 0.0644710i | −0.00300157 | + | 0.00218076i | ||||
\(875\) | −2.17307 | − | 2.23603i | −0.0734630 | − | 0.0755917i | ||||
\(876\) | 14.9535 | + | 1.71575i | 0.505232 | + | 0.0579700i | ||||
\(877\) | −15.6878 | − | 2.71488i | −0.529739 | − | 0.0916750i | −0.100624 | − | 0.994925i | \(-0.532084\pi\) |
−0.429116 | + | 0.903250i | \(0.641175\pi\) | |||||||
\(878\) | 12.9661 | − | 24.5735i | 0.437584 | − | 0.829314i | ||||
\(879\) | −6.43994 | − | 14.1015i | −0.217214 | − | 0.475632i | ||||
\(880\) | 1.05043 | + | 0.249615i | 0.0354101 | + | 0.00841453i | ||||
\(881\) | 0.570500 | − | 1.24922i | 0.0192206 | − | 0.0420873i | −0.899778 | − | 0.436347i | \(-0.856272\pi\) |
0.918999 | + | 0.394260i | \(0.128999\pi\) | |||||||
\(882\) | 4.38559 | + | 5.68733i | 0.147670 | + | 0.191502i | ||||
\(883\) | −1.28020 | − | 0.629434i | −0.0430823 | − | 0.0211821i | 0.419553 | − | 0.907731i | \(-0.362187\pi\) |
−0.462635 | + | 0.886549i | \(0.653096\pi\) | |||||||
\(884\) | 9.68300 | − | 4.76081i | 0.325675 | − | 0.160123i | ||||
\(885\) | 0.807906 | − | 1.04771i | 0.0271575 | − | 0.0352184i | ||||
\(886\) | −8.82824 | − | 16.7314i | −0.296591 | − | 0.562102i | ||||
\(887\) | −8.04709 | − | 24.7664i | −0.270195 | − | 0.831574i | −0.990451 | − | 0.137866i | \(-0.955976\pi\) |
0.720256 | − | 0.693708i | \(-0.244024\pi\) | |||||||
\(888\) | 2.27548 | − | 0.961624i | 0.0763599 | − | 0.0322700i | ||||
\(889\) | 3.62141 | + | 9.30151i | 0.121458 | + | 0.311963i | ||||
\(890\) | −3.06952 | + | 1.97266i | −0.102891 | + | 0.0661238i | ||||
\(891\) | 4.20521 | − | 12.7330i | 0.140880 | − | 0.426571i | ||||
\(892\) | 1.97223 | + | 1.26747i | 0.0660350 | + | 0.0424381i | ||||
\(893\) | −0.0898796 | + | 0.443573i | −0.00300771 | + | 0.0148436i | ||||
\(894\) | −12.8708 | − | 21.3438i | −0.430464 | − | 0.713845i | ||||
\(895\) | 0.0109568 | + | 0.383538i | 0.000366246 | + | 0.0128203i | ||||
\(896\) | 0.351222 | − | 0.902107i | 0.0117335 | − | 0.0301373i | ||||
\(897\) | −2.17345 | − | 10.7264i | −0.0725692 | − | 0.358143i | ||||
\(898\) | 8.53720 | − | 7.83537i | 0.284890 | − | 0.261470i | ||||
\(899\) | 36.1920 | − | 52.9291i | 1.20707 | − | 1.76529i | ||||
\(900\) | 5.46016 | + | 1.94818i | 0.182005 | + | 0.0649394i | ||||
\(901\) | −2.20979 | − | 2.55023i | −0.0736187 | − | 0.0849605i | ||||
\(902\) | 4.67640 | − | 31.4474i | 0.155707 | − | 1.04708i | ||||
\(903\) | −3.16721 | + | 3.65516i | −0.105398 | + | 0.121636i | ||||
\(904\) | 1.48317 | − | 0.837584i | 0.0493295 | − | 0.0278576i | ||||
\(905\) | 0.134992 | − | 4.72532i | 0.00448727 | − | 0.157075i | ||||
\(906\) | −25.1381 | − | 10.6235i | −0.835158 | − | 0.352941i | ||||
\(907\) | 4.46573 | − | 51.9936i | 0.148282 | − | 1.72642i | −0.423400 | − | 0.905943i | \(-0.639163\pi\) |
0.571682 | − | 0.820475i | \(-0.306291\pi\) | |||||||
\(908\) | 0.443300 | − | 5.16125i | 0.0147114 | − | 0.171282i | ||||
\(909\) | 14.2516 | + | 6.02276i | 0.472694 | + | 0.199762i | ||||
\(910\) | −0.0585375 | + | 2.04908i | −0.00194050 | + | 0.0679263i | ||||
\(911\) | −34.3650 | + | 19.4068i | −1.13856 | + | 0.642976i | −0.941366 | − | 0.337388i | \(-0.890456\pi\) |
−0.197197 | + | 0.980364i | \(0.563184\pi\) | |||||||
\(912\) | 0.0775022 | − | 0.0894423i | 0.00256635 | − | 0.00296173i | ||||
\(913\) | −51.6904 | + | 14.9072i | −1.71070 | + | 0.493357i | ||||
\(914\) | 21.4089 | + | 24.7072i | 0.708143 | + | 0.817241i | ||||
\(915\) | −5.26093 | − | 1.87710i | −0.173921 | − | 0.0620549i | ||||
\(916\) | 1.68263 | − | 2.46077i | 0.0555958 | − | 0.0813062i | ||||
\(917\) | −7.91115 | + | 7.26079i | −0.261249 | + | 0.239772i | ||||
\(918\) | −1.85735 | − | 9.16639i | −0.0613017 | − | 0.302536i | ||||
\(919\) | −19.7596 | + | 50.7521i | −0.651809 | + | 1.67416i | 0.0835712 | + | 0.996502i | \(0.473367\pi\) |
−0.735380 | + | 0.677655i | \(0.762996\pi\) | |||||||
\(920\) | −0.0116083 | − | 0.406344i | −0.000382715 | − | 0.0133968i | ||||
\(921\) | 0.702996 | + | 1.16579i | 0.0231645 | + | 0.0384140i | ||||
\(922\) | 2.62223 | − | 12.9412i | 0.0863584 | − | 0.426196i | ||||
\(923\) | 2.42295 | + | 1.55714i | 0.0797524 | + | 0.0512537i | ||||
\(924\) | −4.25908 | − | 0.758242i | −0.140114 | − | 0.0249443i | ||||
\(925\) | 7.54844 | − | 4.85109i | 0.248191 | − | 0.159503i | ||||
\(926\) | 7.19214 | + | 18.4729i | 0.236348 | + | 0.607056i | ||||
\(927\) | 10.8518 | − | 4.58600i | 0.356419 | − | 0.150624i | ||||
\(928\) | −2.78021 | − | 8.55662i | −0.0912650 | − | 0.280885i | ||||
\(929\) | −12.0610 | − | 22.8581i | −0.395709 | − | 0.749951i | 0.603154 | − | 0.797625i | \(-0.293910\pi\) |
−0.998863 | + | 0.0476731i | \(0.984819\pi\) | |||||||
\(930\) | −1.90888 | + | 2.47548i | −0.0625946 | + | 0.0811741i | ||||
\(931\) | 0.477900 | − | 0.234968i | 0.0156625 | − | 0.00770075i | ||||
\(932\) | −0.371303 | − | 0.182557i | −0.0121624 | − | 0.00597986i | ||||
\(933\) | −20.0536 | − | 26.0059i | −0.656524 | − | 0.851395i | ||||
\(934\) | −7.05223 | + | 15.4422i | −0.230756 | + | 0.505285i | ||||
\(935\) | −0.828143 | − | 1.58802i | −0.0270832 | − | 0.0519338i | ||||
\(936\) | −3.20090 | − | 7.00900i | −0.104625 | − | 0.229096i | ||||
\(937\) | −16.0456 | + | 30.4098i | −0.524187 | + | 0.993446i | 0.469677 | + | 0.882838i | \(0.344370\pi\) |
−0.993864 | + | 0.110607i | \(0.964720\pi\) | |||||||
\(938\) | 0.678145 | + | 0.117358i | 0.0221422 | + | 0.00383186i | ||||
\(939\) | 42.9329 | + | 4.92609i | 1.40106 | + | 0.160757i | ||||
\(940\) | −1.16902 | − | 1.20289i | −0.0381292 | − | 0.0392341i | ||||
\(941\) | −9.54373 | + | 6.93393i | −0.311117 | + | 0.226040i | −0.732376 | − | 0.680901i | \(-0.761588\pi\) |
0.421259 | + | 0.906940i | \(0.361588\pi\) | |||||||
\(942\) | 16.0154 | + | 13.0957i | 0.521809 | + | 0.426681i | ||||
\(943\) | −11.8924 | + | 1.36452i | −0.387269 | + | 0.0444350i | ||||
\(944\) | 3.01141 | + | 0.172199i | 0.0980132 | + | 0.00560460i | ||||
\(945\) | 1.70486 | + | 0.500592i | 0.0554591 | + | 0.0162842i | ||||
\(946\) | −0.291874 | − | 12.2944i | −0.00948963 | − | 0.399725i | ||||
\(947\) | 45.7566 | − | 13.4354i | 1.48689 | − | 0.436590i | 0.565343 | − | 0.824856i | \(-0.308744\pi\) |
0.921547 | + | 0.388266i | \(0.126926\pi\) | |||||||
\(948\) | 15.8794 | − | 3.69259i | 0.515738 | − | 0.119930i | ||||
\(949\) | −53.5350 | − | 49.1340i | −1.73782 | − | 1.59496i | ||||
\(950\) | 0.221986 | − | 0.368122i | 0.00720217 | − | 0.0119435i | ||||
\(951\) | −21.6122 | − | 12.2050i | −0.700824 | − | 0.395773i | ||||
\(952\) | −1.51245 | + | 0.539639i | −0.0490186 | + | 0.0174898i | ||||
\(953\) | 4.02077 | − | 15.2966i | 0.130246 | − | 0.495505i | −0.869752 | − | 0.493488i | \(-0.835722\pi\) |
0.999998 | − | 0.00201709i | \(-0.000642060\pi\) | |||||||
\(954\) | −1.86547 | + | 1.52538i | −0.0603967 | + | 0.0493861i | ||||
\(955\) | 1.50721 | − | 1.55088i | 0.0487721 | − | 0.0501853i | ||||
\(956\) | −0.830230 | + | 5.77438i | −0.0268516 | + | 0.186757i | ||||
\(957\) | −35.1035 | + | 19.6011i | −1.13473 | + | 0.633614i | ||||
\(958\) | 0.266481 | + | 1.85341i | 0.00860960 | + | 0.0598811i | ||||
\(959\) | −9.32163 | − | 6.77256i | −0.301011 | − | 0.218697i | ||||
\(960\) | 0.111506 | + | 0.424212i | 0.00359883 | + | 0.0136914i | ||||
\(961\) | −11.1714 | − | 16.3376i | −0.360366 | − | 0.527019i | ||||
\(962\) | −11.6160 | − | 2.70120i | −0.374516 | − | 0.0870901i | ||||
\(963\) | −8.55986 | + | 0.489471i | −0.275838 | + | 0.0157730i | ||||
\(964\) | 0.117951 | − | 0.0204121i | 0.00379893 | − | 0.000657431i | ||||
\(965\) | −0.382906 | + | 1.17846i | −0.0123262 | + | 0.0379361i | ||||
\(966\) | 0.139384 | + | 1.62282i | 0.00448461 | + | 0.0522133i | ||||
\(967\) | 10.3626 | 0.333239 | 0.166620 | − | 0.986021i | \(-0.446715\pi\) | ||||
0.166620 | + | 0.986021i | \(0.446715\pi\) | |||||||
\(968\) | 9.31073 | − | 5.85749i | 0.299258 | − | 0.188267i | ||||
\(969\) | −0.196318 | −0.00630664 | ||||||||
\(970\) | −0.190974 | − | 2.22346i | −0.00613179 | − | 0.0713912i | ||||
\(971\) | 7.61269 | − | 23.4294i | 0.244303 | − | 0.751887i | −0.751448 | − | 0.659793i | \(-0.770644\pi\) |
0.995750 | − | 0.0920938i | \(-0.0293560\pi\) | |||||||
\(972\) | −11.2991 | + | 1.95538i | −0.362418 | + | 0.0627189i | ||||
\(973\) | −9.93794 | + | 0.568272i | −0.318596 | + | 0.0182180i | ||||
\(974\) | 33.9756 | + | 7.90069i | 1.08865 | + | 0.253154i | ||||
\(975\) | 24.2106 | + | 35.4069i | 0.775361 | + | 1.13393i | ||||
\(976\) | −3.23743 | − | 12.3164i | −0.103627 | − | 0.394240i | ||||
\(977\) | −23.9075 | − | 17.3698i | −0.764868 | − | 0.555709i | 0.135532 | − | 0.990773i | \(-0.456726\pi\) |
−0.900400 | + | 0.435064i | \(0.856726\pi\) | |||||||
\(978\) | 2.73513 | + | 19.0232i | 0.0874598 | + | 0.608296i | ||||
\(979\) | −7.55808 | + | 36.3976i | −0.241557 | + | 1.16327i | ||||
\(980\) | −0.280884 | + | 1.95359i | −0.00897251 | + | 0.0624052i | ||||
\(981\) | −3.76245 | + | 3.87147i | −0.120126 | + | 0.123607i | ||||
\(982\) | 27.5329 | − | 22.5135i | 0.878610 | − | 0.718436i | ||||
\(983\) | −10.7268 | + | 40.8089i | −0.342131 | + | 1.30160i | 0.544359 | + | 0.838852i | \(0.316773\pi\) |
−0.886490 | + | 0.462748i | \(0.846863\pi\) | |||||||
\(984\) | 12.1649 | − | 4.34041i | 0.387801 | − | 0.138367i | ||||
\(985\) | 4.18139 | + | 2.36134i | 0.133230 | + | 0.0752386i | ||||
\(986\) | −7.70681 | + | 12.7803i | −0.245435 | + | 0.407008i | ||||
\(987\) | 4.95151 | + | 4.54446i | 0.157608 | + | 0.144652i | ||||
\(988\) | −0.556505 | + | 0.129410i | −0.0177048 | + | 0.00411707i | ||||
\(989\) | −4.44268 | + | 1.30449i | −0.141269 | + | 0.0414803i | ||||
\(990\) | −1.15045 | + | 0.558761i | −0.0365636 | + | 0.0177586i | ||||
\(991\) | 2.50237 | + | 0.734761i | 0.0794903 | + | 0.0233405i | 0.321236 | − | 0.946999i | \(-0.395902\pi\) |
−0.241746 | + | 0.970340i | \(0.577720\pi\) | |||||||
\(992\) | −7.11521 | − | 0.406863i | −0.225908 | − | 0.0129179i | ||||
\(993\) | 28.6077 | − | 3.28243i | 0.907838 | − | 0.104165i | ||||
\(994\) | −0.331829 | − | 0.271335i | −0.0105250 | − | 0.00860622i | ||||
\(995\) | −2.10145 | + | 1.52679i | −0.0666205 | + | 0.0484026i | ||||
\(996\) | −15.2316 | − | 15.6730i | −0.482632 | − | 0.496617i | ||||
\(997\) | −27.7439 | − | 3.18331i | −0.878657 | − | 0.100816i | −0.337088 | − | 0.941473i | \(-0.609442\pi\) |
−0.541569 | + | 0.840657i | \(0.682169\pi\) | |||||||
\(998\) | −20.9351 | − | 3.62297i | −0.662690 | − | 0.114683i | ||||
\(999\) | −4.82406 | + | 9.14260i | −0.152626 | + | 0.289259i |
(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 | 242.2.g.b.15.4 | ✓ | 240 | |
121.113 | even | 55 | inner | 242.2.g.b.113.4 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
242.2.g.b.15.4 | ✓ | 240 | 1.1 | even | 1 | trivial | |
242.2.g.b.113.4 | yes | 240 | 121.113 | even | 55 | inner |