Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(25,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.7 | ||
Character | \(\chi\) | \(=\) | 966.25 |
Dual form | 966.2.y.a.541.7 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0475819 | + | 0.998867i | −0.0336455 | + | 0.706306i | ||||
\(3\) | −0.928368 | − | 0.371662i | −0.535993 | − | 0.214579i | ||||
\(4\) | −0.995472 | − | 0.0950560i | −0.497736 | − | 0.0475280i | ||||
\(5\) | 0.534809 | + | 2.20451i | 0.239174 | + | 0.985887i | 0.957098 | + | 0.289766i | \(0.0935774\pi\) |
−0.717924 | + | 0.696122i | \(0.754907\pi\) | |||||||
\(6\) | 0.415415 | − | 0.909632i | 0.169592 | − | 0.371356i | ||||
\(7\) | −2.08203 | − | 1.63252i | −0.786935 | − | 0.617036i | ||||
\(8\) | 0.142315 | − | 0.989821i | 0.0503159 | − | 0.349955i | ||||
\(9\) | 0.723734 | + | 0.690079i | 0.241245 | + | 0.230026i | ||||
\(10\) | −2.22746 | + | 0.429308i | −0.704385 | + | 0.135759i | ||||
\(11\) | 0.240284 | + | 5.04418i | 0.0724483 | + | 1.52088i | 0.683888 | + | 0.729587i | \(0.260287\pi\) |
−0.611440 | + | 0.791291i | \(0.709409\pi\) | |||||||
\(12\) | 0.888835 | + | 0.458227i | 0.256585 | + | 0.132279i | ||||
\(13\) | −2.66668 | − | 3.07751i | −0.739603 | − | 0.853547i | 0.253915 | − | 0.967227i | \(-0.418282\pi\) |
−0.993517 | + | 0.113680i | \(0.963736\pi\) | |||||||
\(14\) | 1.72974 | − | 2.00200i | 0.462293 | − | 0.535057i | ||||
\(15\) | 0.322835 | − | 2.24537i | 0.0833556 | − | 0.579751i | ||||
\(16\) | 0.981929 | + | 0.189251i | 0.245482 | + | 0.0473128i | ||||
\(17\) | −2.83271 | − | 3.97799i | −0.687034 | − | 0.964805i | −0.999887 | − | 0.0150031i | \(-0.995224\pi\) |
0.312853 | − | 0.949801i | \(-0.398715\pi\) | |||||||
\(18\) | −0.723734 | + | 0.690079i | −0.170586 | + | 0.162653i | ||||
\(19\) | 1.71174 | − | 2.40381i | 0.392701 | − | 0.551471i | −0.570138 | − | 0.821549i | \(-0.693110\pi\) |
0.962838 | + | 0.270078i | \(0.0870495\pi\) | |||||||
\(20\) | −0.322835 | − | 2.24537i | −0.0721881 | − | 0.502079i | ||||
\(21\) | 1.32615 | + | 2.28940i | 0.289389 | + | 0.499587i | ||||
\(22\) | −5.04990 | −1.07664 | ||||||||
\(23\) | −2.13809 | + | 4.29285i | −0.445822 | + | 0.895122i | ||||
\(24\) | −0.500000 | + | 0.866025i | −0.102062 | + | 0.176777i | ||||
\(25\) | −0.129671 | + | 0.0668502i | −0.0259343 | + | 0.0133700i | ||||
\(26\) | 3.20091 | − | 2.51722i | 0.627750 | − | 0.493668i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | 1.91743 | + | 1.82304i | 0.362359 | + | 0.344522i | ||||
\(29\) | −0.977249 | + | 2.13988i | −0.181471 | + | 0.397365i | −0.978404 | − | 0.206702i | \(-0.933727\pi\) |
0.796933 | + | 0.604067i | \(0.206454\pi\) | |||||||
\(30\) | 2.22746 | + | 0.429308i | 0.406677 | + | 0.0783806i | ||||
\(31\) | −3.08397 | − | 2.42526i | −0.553897 | − | 0.435590i | 0.301572 | − | 0.953443i | \(-0.402489\pi\) |
−0.855469 | + | 0.517854i | \(0.826731\pi\) | |||||||
\(32\) | −0.235759 | + | 0.971812i | −0.0416767 | + | 0.171794i | ||||
\(33\) | 1.65166 | − | 4.77216i | 0.287517 | − | 0.830726i | ||||
\(34\) | 4.10827 | − | 2.64023i | 0.704563 | − | 0.452795i | ||||
\(35\) | 2.48542 | − | 5.46296i | 0.420113 | − | 0.923408i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | −6.87595 | − | 6.55620i | −1.13040 | − | 1.07783i | −0.996219 | − | 0.0868762i | \(-0.972312\pi\) |
−0.134180 | − | 0.990957i | \(-0.542840\pi\) | |||||||
\(38\) | 2.31964 | + | 1.82418i | 0.376295 | + | 0.295921i | ||||
\(39\) | 1.33186 | + | 3.84816i | 0.213269 | + | 0.616199i | ||||
\(40\) | 2.25818 | − | 0.215630i | 0.357050 | − | 0.0340942i | ||||
\(41\) | 9.72119 | + | 2.85440i | 1.51819 | + | 0.445782i | 0.931413 | − | 0.363964i | \(-0.118577\pi\) |
0.586781 | + | 0.809746i | \(0.300395\pi\) | |||||||
\(42\) | −2.34990 | + | 1.21571i | −0.362598 | + | 0.187588i | ||||
\(43\) | −1.36917 | − | 9.52278i | −0.208796 | − | 1.45221i | −0.777093 | − | 0.629386i | \(-0.783306\pi\) |
0.568296 | − | 0.822824i | \(-0.307603\pi\) | |||||||
\(44\) | 0.240284 | − | 5.04418i | 0.0362242 | − | 0.760439i | ||||
\(45\) | −1.13423 | + | 1.96454i | −0.169081 | + | 0.292856i | ||||
\(46\) | −4.18626 | − | 2.33993i | −0.617230 | − | 0.345003i | ||||
\(47\) | −5.37775 | − | 9.31454i | −0.784426 | − | 1.35867i | −0.929341 | − | 0.369222i | \(-0.879624\pi\) |
0.144915 | − | 0.989444i | \(-0.453709\pi\) | |||||||
\(48\) | −0.841254 | − | 0.540641i | −0.121424 | − | 0.0780348i | ||||
\(49\) | 1.66974 | + | 6.79794i | 0.238534 | + | 0.971134i | ||||
\(50\) | −0.0606045 | − | 0.132705i | −0.00857077 | − | 0.0187674i | ||||
\(51\) | 1.15133 | + | 4.74585i | 0.161219 | + | 0.664552i | ||||
\(52\) | 2.36206 | + | 3.31706i | 0.327559 | + | 0.459993i | ||||
\(53\) | −2.94635 | − | 8.51292i | −0.404712 | − | 1.16934i | −0.944777 | − | 0.327715i | \(-0.893721\pi\) |
0.540064 | − | 0.841624i | \(-0.318400\pi\) | |||||||
\(54\) | 0.928368 | − | 0.371662i | 0.126335 | − | 0.0505769i | ||||
\(55\) | −10.9914 | + | 3.22738i | −1.48209 | + | 0.435180i | ||||
\(56\) | −1.91221 | + | 1.82851i | −0.255530 | + | 0.244345i | ||||
\(57\) | −2.48253 | + | 1.59543i | −0.328819 | + | 0.211319i | ||||
\(58\) | −2.09095 | − | 1.07796i | −0.274556 | − | 0.141543i | ||||
\(59\) | −4.41622 | + | 0.851156i | −0.574942 | + | 0.110811i | −0.468430 | − | 0.883500i | \(-0.655180\pi\) |
−0.106512 | + | 0.994311i | \(0.533968\pi\) | |||||||
\(60\) | −0.534809 | + | 2.20451i | −0.0690435 | + | 0.284601i | ||||
\(61\) | 0.817022 | − | 0.327086i | 0.104609 | − | 0.0418791i | −0.318768 | − | 0.947833i | \(-0.603269\pi\) |
0.423377 | + | 0.905954i | \(0.360845\pi\) | |||||||
\(62\) | 2.56925 | − | 2.96508i | 0.326296 | − | 0.376565i | ||||
\(63\) | −0.380270 | − | 2.61828i | −0.0479095 | − | 0.329872i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | 5.35824 | − | 7.52459i | 0.664608 | − | 0.933311i | ||||
\(66\) | 4.68816 | + | 1.87686i | 0.577073 | + | 0.231025i | ||||
\(67\) | 1.76228 | − | 0.908520i | 0.215297 | − | 0.110993i | −0.347205 | − | 0.937789i | \(-0.612869\pi\) |
0.562502 | + | 0.826796i | \(0.309839\pi\) | |||||||
\(68\) | 2.44176 | + | 4.22925i | 0.296106 | + | 0.512871i | ||||
\(69\) | 3.58042 | − | 3.19070i | 0.431032 | − | 0.384115i | ||||
\(70\) | 5.33851 | + | 2.74255i | 0.638074 | + | 0.327797i | ||||
\(71\) | −10.1601 | − | 6.52950i | −1.20578 | − | 0.774909i | −0.225834 | − | 0.974166i | \(-0.572511\pi\) |
−0.979947 | + | 0.199257i | \(0.936147\pi\) | |||||||
\(72\) | 0.786053 | − | 0.618159i | 0.0926372 | − | 0.0728507i | ||||
\(73\) | 8.60245 | + | 0.821434i | 1.00684 | + | 0.0961416i | 0.585425 | − | 0.810726i | \(-0.300928\pi\) |
0.421415 | + | 0.906868i | \(0.361534\pi\) | |||||||
\(74\) | 6.87595 | − | 6.55620i | 0.799313 | − | 0.762143i | ||||
\(75\) | 0.145228 | − | 0.0138676i | 0.0167695 | − | 0.00160130i | ||||
\(76\) | −1.93249 | + | 2.23021i | −0.221672 | + | 0.255823i | ||||
\(77\) | 7.73446 | − | 10.8944i | 0.881423 | − | 1.24154i | ||||
\(78\) | −3.90718 | + | 1.14725i | −0.442401 | + | 0.129901i | ||||
\(79\) | −2.05452 | + | 5.93616i | −0.231152 | + | 0.667870i | 0.768457 | + | 0.639902i | \(0.221025\pi\) |
−0.999609 | + | 0.0279682i | \(0.991096\pi\) | |||||||
\(80\) | 0.107937 | + | 2.26589i | 0.0120678 | + | 0.253334i | ||||
\(81\) | 0.0475819 | + | 0.998867i | 0.00528688 | + | 0.110985i | ||||
\(82\) | −3.31372 | + | 9.57436i | −0.365939 | + | 1.05731i | ||||
\(83\) | −3.31282 | + | 0.972731i | −0.363629 | + | 0.106771i | −0.458443 | − | 0.888724i | \(-0.651593\pi\) |
0.0948138 | + | 0.995495i | \(0.469774\pi\) | |||||||
\(84\) | −1.10252 | − | 2.40509i | −0.120295 | − | 0.262417i | ||||
\(85\) | 7.25457 | − | 8.37222i | 0.786868 | − | 0.908094i | ||||
\(86\) | 9.57714 | − | 0.914506i | 1.03273 | − | 0.0986137i | ||||
\(87\) | 1.70256 | − | 1.62339i | 0.182533 | − | 0.174045i | ||||
\(88\) | 5.02703 | + | 0.480023i | 0.535883 | + | 0.0511707i | ||||
\(89\) | 3.92081 | − | 3.08336i | 0.415605 | − | 0.326835i | −0.388365 | − | 0.921506i | \(-0.626960\pi\) |
0.803969 | + | 0.594671i | \(0.202718\pi\) | |||||||
\(90\) | −1.90835 | − | 1.22642i | −0.201157 | − | 0.129276i | ||||
\(91\) | 0.528010 | + | 10.7609i | 0.0553505 | + | 1.12805i | ||||
\(92\) | 2.53647 | − | 4.07018i | 0.264445 | − | 0.424345i | ||||
\(93\) | 1.96168 | + | 3.39773i | 0.203417 | + | 0.352328i | ||||
\(94\) | 9.55988 | − | 4.92846i | 0.986026 | − | 0.508332i | ||||
\(95\) | 6.21467 | + | 2.48798i | 0.637612 | + | 0.255261i | ||||
\(96\) | 0.580057 | − | 0.814576i | 0.0592018 | − | 0.0831373i | ||||
\(97\) | −5.98825 | − | 1.75831i | −0.608015 | − | 0.178529i | −0.0367903 | − | 0.999323i | \(-0.511713\pi\) |
−0.571225 | + | 0.820794i | \(0.693532\pi\) | |||||||
\(98\) | −6.86969 | + | 1.34439i | −0.693943 | + | 0.135804i | ||||
\(99\) | −3.30698 | + | 3.81646i | −0.332364 | + | 0.383569i | ||||
\(100\) | 0.135439 | − | 0.0542215i | 0.0135439 | − | 0.00542215i | ||||
\(101\) | 3.02575 | − | 12.4723i | 0.301074 | − | 1.24104i | −0.597374 | − | 0.801962i | \(-0.703789\pi\) |
0.898448 | − | 0.439080i | \(-0.144696\pi\) | |||||||
\(102\) | −4.79526 | + | 0.924211i | −0.474802 | + | 0.0915105i | ||||
\(103\) | −0.0871027 | − | 0.0449046i | −0.00858248 | − | 0.00442458i | 0.453930 | − | 0.891037i | \(-0.350022\pi\) |
−0.462512 | + | 0.886613i | \(0.653052\pi\) | |||||||
\(104\) | −3.42569 | + | 2.20156i | −0.335917 | + | 0.215880i | ||||
\(105\) | −4.33776 | + | 4.14789i | −0.423322 | + | 0.404793i | ||||
\(106\) | 8.64347 | − | 2.53795i | 0.839528 | − | 0.246508i | ||||
\(107\) | −0.851613 | + | 0.340934i | −0.0823285 | + | 0.0329594i | −0.412461 | − | 0.910975i | \(-0.635331\pi\) |
0.330133 | + | 0.943935i | \(0.392907\pi\) | |||||||
\(108\) | 0.327068 | + | 0.945001i | 0.0314721 | + | 0.0909327i | ||||
\(109\) | 0.301764 | + | 0.423768i | 0.0289037 | + | 0.0405896i | 0.828775 | − | 0.559582i | \(-0.189038\pi\) |
−0.799871 | + | 0.600172i | \(0.795099\pi\) | |||||||
\(110\) | −2.70073 | − | 11.1326i | −0.257504 | − | 1.06145i | ||||
\(111\) | 3.94672 | + | 8.64210i | 0.374606 | + | 0.820272i | ||||
\(112\) | −1.73545 | − | 1.99705i | −0.163985 | − | 0.188703i | ||||
\(113\) | 6.18181 | + | 3.97281i | 0.581536 | + | 0.373730i | 0.798088 | − | 0.602541i | \(-0.205845\pi\) |
−0.216552 | + | 0.976271i | \(0.569481\pi\) | |||||||
\(114\) | −1.47550 | − | 2.55563i | −0.138193 | − | 0.239357i | ||||
\(115\) | −10.6071 | − | 2.41758i | −0.989118 | − | 0.225440i | ||||
\(116\) | 1.17623 | − | 2.03729i | 0.109210 | − | 0.189158i | ||||
\(117\) | 0.193760 | − | 4.06751i | 0.0179131 | − | 0.376042i | ||||
\(118\) | −0.640060 | − | 4.45171i | −0.0589223 | − | 0.409813i | ||||
\(119\) | −0.596350 | + | 12.9068i | −0.0546673 | + | 1.18316i | ||||
\(120\) | −2.17657 | − | 0.639098i | −0.198692 | − | 0.0583414i | ||||
\(121\) | −14.4358 | + | 1.37845i | −1.31235 | + | 0.125314i | ||||
\(122\) | 0.287840 | + | 0.831660i | 0.0260598 | + | 0.0752950i | ||||
\(123\) | −7.96396 | − | 6.26293i | −0.718087 | − | 0.564709i | ||||
\(124\) | 2.83947 | + | 2.70743i | 0.254992 | + | 0.243134i | ||||
\(125\) | 7.21089 | + | 8.32181i | 0.644962 | + | 0.744325i | ||||
\(126\) | 2.63341 | − | 0.255256i | 0.234603 | − | 0.0227400i | ||||
\(127\) | −17.2150 | + | 11.0634i | −1.52759 | + | 0.981721i | −0.537193 | + | 0.843460i | \(0.680515\pi\) |
−0.990396 | + | 0.138262i | \(0.955848\pi\) | |||||||
\(128\) | 0.327068 | − | 0.945001i | 0.0289090 | − | 0.0835271i | ||||
\(129\) | −2.26817 | + | 9.34951i | −0.199701 | + | 0.823179i | ||||
\(130\) | 7.26111 | + | 5.71020i | 0.636842 | + | 0.500818i | ||||
\(131\) | −20.0123 | − | 3.85705i | −1.74848 | − | 0.336992i | −0.788071 | − | 0.615584i | \(-0.788920\pi\) |
−0.960410 | + | 0.278592i | \(0.910132\pi\) | |||||||
\(132\) | −2.09780 | + | 4.59355i | −0.182590 | + | 0.399817i | ||||
\(133\) | −7.48818 | + | 2.21035i | −0.649308 | + | 0.191662i | ||||
\(134\) | 0.823638 | + | 1.80352i | 0.0711515 | + | 0.155800i | ||||
\(135\) | 1.78313 | − | 1.40227i | 0.153467 | − | 0.120688i | ||||
\(136\) | −4.34064 | + | 2.23775i | −0.372207 | + | 0.191886i | ||||
\(137\) | −2.96540 | + | 5.13622i | −0.253351 | + | 0.438817i | −0.964446 | − | 0.264279i | \(-0.914866\pi\) |
0.711095 | + | 0.703095i | \(0.248199\pi\) | |||||||
\(138\) | 3.01672 | + | 3.72819i | 0.256801 | + | 0.317364i | ||||
\(139\) | 4.74410 | 0.402390 | 0.201195 | − | 0.979551i | \(-0.435518\pi\) | ||||
0.201195 | + | 0.979551i | \(0.435518\pi\) | |||||||
\(140\) | −2.99346 | + | 5.20196i | −0.252993 | + | 0.439646i | ||||
\(141\) | 1.53067 | + | 10.6460i | 0.128906 | + | 0.896558i | ||||
\(142\) | 7.00554 | − | 9.83790i | 0.587892 | − | 0.825578i | ||||
\(143\) | 14.8827 | − | 14.1907i | 1.24456 | − | 1.18668i | ||||
\(144\) | 0.580057 | + | 0.814576i | 0.0483381 | + | 0.0678813i | ||||
\(145\) | −5.24002 | − | 1.00993i | −0.435160 | − | 0.0838703i | ||||
\(146\) | −1.22982 | + | 8.55362i | −0.101781 | + | 0.707902i | ||||
\(147\) | 0.976407 | − | 6.93157i | 0.0805327 | − | 0.571706i | ||||
\(148\) | 6.22161 | + | 7.18012i | 0.511413 | + | 0.590202i | ||||
\(149\) | 4.15968 | + | 2.14447i | 0.340774 | + | 0.175681i | 0.620116 | − | 0.784510i | \(-0.287086\pi\) |
−0.279341 | + | 0.960192i | \(0.590116\pi\) | |||||||
\(150\) | 0.00694168 | + | 0.145724i | 0.000566786 | + | 0.0118983i | ||||
\(151\) | −16.0488 | + | 3.09315i | −1.30603 | + | 0.251717i | −0.794352 | − | 0.607458i | \(-0.792189\pi\) |
−0.511681 | + | 0.859175i | \(0.670977\pi\) | |||||||
\(152\) | −2.13573 | − | 2.03642i | −0.173231 | − | 0.165175i | ||||
\(153\) | 0.694996 | − | 4.83380i | 0.0561871 | − | 0.390790i | ||||
\(154\) | 10.5141 | + | 8.24408i | 0.847248 | + | 0.664327i | ||||
\(155\) | 3.69718 | − | 8.09570i | 0.296965 | − | 0.650262i | ||||
\(156\) | −0.960040 | − | 3.95734i | −0.0768647 | − | 0.316841i | ||||
\(157\) | 9.59937 | + | 0.916629i | 0.766113 | + | 0.0731549i | 0.470793 | − | 0.882243i | \(-0.343968\pi\) |
0.295320 | + | 0.955398i | \(0.404574\pi\) | |||||||
\(158\) | −5.83167 | − | 2.33465i | −0.463943 | − | 0.185735i | ||||
\(159\) | −0.428635 | + | 8.99817i | −0.0339930 | + | 0.713601i | ||||
\(160\) | −2.26846 | −0.179337 | ||||||||
\(161\) | 11.4598 | − | 5.44740i | 0.903155 | − | 0.429315i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −0.716618 | + | 15.0437i | −0.0561298 | + | 1.17831i | 0.778553 | + | 0.627579i | \(0.215954\pi\) |
−0.834683 | + | 0.550731i | \(0.814349\pi\) | |||||||
\(164\) | −9.40584 | − | 3.76553i | −0.734473 | − | 0.294039i | ||||
\(165\) | 11.4036 | + | 1.08891i | 0.887769 | + | 0.0847717i | ||||
\(166\) | −0.813999 | − | 3.35535i | −0.0631786 | − | 0.260426i | ||||
\(167\) | −9.65916 | + | 21.1506i | −0.747448 | + | 1.63668i | 0.0234510 | + | 0.999725i | \(0.492535\pi\) |
−0.770899 | + | 0.636958i | \(0.780193\pi\) | |||||||
\(168\) | 2.45482 | − | 0.986834i | 0.189394 | − | 0.0761359i | ||||
\(169\) | −0.509801 | + | 3.54575i | −0.0392155 | + | 0.272750i | ||||
\(170\) | 8.01755 | + | 7.64471i | 0.614918 | + | 0.586323i | ||||
\(171\) | 2.89766 | − | 0.558479i | 0.221590 | − | 0.0427080i | ||||
\(172\) | 0.457771 | + | 9.60981i | 0.0349047 | + | 0.732741i | ||||
\(173\) | 3.23838 | + | 1.66950i | 0.246210 | + | 0.126930i | 0.576915 | − | 0.816804i | \(-0.304256\pi\) |
−0.330705 | + | 0.943734i | \(0.607287\pi\) | |||||||
\(174\) | 1.54054 | + | 1.77787i | 0.116788 | + | 0.134780i | ||||
\(175\) | 0.379115 | + | 0.0725069i | 0.0286584 | + | 0.00548101i | ||||
\(176\) | −0.718676 | + | 4.99850i | −0.0541722 | + | 0.376776i | ||||
\(177\) | 4.41622 | + | 0.851156i | 0.331943 | + | 0.0639768i | ||||
\(178\) | 2.89330 | + | 4.06308i | 0.216862 | + | 0.304540i | ||||
\(179\) | −2.92647 | + | 2.79039i | −0.218735 | + | 0.208563i | −0.791522 | − | 0.611141i | \(-0.790711\pi\) |
0.572787 | + | 0.819704i | \(0.305862\pi\) | |||||||
\(180\) | 1.31583 | − | 1.84783i | 0.0980764 | − | 0.137729i | ||||
\(181\) | −1.64650 | − | 11.4517i | −0.122383 | − | 0.851195i | −0.954843 | − | 0.297110i | \(-0.903977\pi\) |
0.832460 | − | 0.554085i | \(-0.186932\pi\) | |||||||
\(182\) | −10.7738 | + | 0.0153886i | −0.798609 | + | 0.00114068i | ||||
\(183\) | −0.880063 | −0.0650561 | ||||||||
\(184\) | 3.94488 | + | 2.72726i | 0.290820 | + | 0.201056i | ||||
\(185\) | 10.7759 | − | 18.6644i | 0.792260 | − | 1.37224i | ||||
\(186\) | −3.48722 | + | 1.79779i | −0.255696 | + | 0.131820i | ||||
\(187\) | 19.3850 | − | 15.2446i | 1.41757 | − | 1.11479i | ||||
\(188\) | 4.46800 | + | 9.78356i | 0.325862 | + | 0.713539i | ||||
\(189\) | −0.620086 | + | 2.57206i | −0.0451046 | + | 0.187090i | ||||
\(190\) | −2.78087 | + | 6.08925i | −0.201745 | + | 0.441761i | ||||
\(191\) | 0.920571 | + | 0.177426i | 0.0666102 | + | 0.0128381i | 0.222447 | − | 0.974945i | \(-0.428595\pi\) |
−0.155837 | + | 0.987783i | \(0.549808\pi\) | |||||||
\(192\) | 0.786053 | + | 0.618159i | 0.0567285 | + | 0.0446118i | ||||
\(193\) | −2.66848 | + | 10.9996i | −0.192081 | + | 0.791770i | 0.791480 | + | 0.611195i | \(0.209311\pi\) |
−0.983561 | + | 0.180575i | \(0.942204\pi\) | |||||||
\(194\) | 2.04125 | − | 5.89781i | 0.146553 | − | 0.423438i | ||||
\(195\) | −7.77102 | + | 4.99413i | −0.556495 | + | 0.357637i | ||||
\(196\) | −1.01599 | − | 6.92588i | −0.0725709 | − | 0.494705i | ||||
\(197\) | −1.67022 | − | 1.92754i | −0.118999 | − | 0.137332i | 0.693124 | − | 0.720818i | \(-0.256234\pi\) |
−0.812123 | + | 0.583486i | \(0.801688\pi\) | |||||||
\(198\) | −3.65478 | − | 3.48483i | −0.259734 | − | 0.247656i | ||||
\(199\) | 15.3037 | + | 12.0350i | 1.08485 | + | 0.853138i | 0.989818 | − | 0.142336i | \(-0.0454614\pi\) |
0.0950346 | + | 0.995474i | \(0.469704\pi\) | |||||||
\(200\) | 0.0477156 | + | 0.137865i | 0.00337400 | + | 0.00974855i | ||||
\(201\) | −1.97371 | + | 0.188466i | −0.139215 | + | 0.0132934i | ||||
\(202\) | 12.3142 | + | 3.61578i | 0.866426 | + | 0.254406i | ||||
\(203\) | 5.52806 | − | 2.85992i | 0.387994 | − | 0.200727i | ||||
\(204\) | −0.694996 | − | 4.83380i | −0.0486595 | − | 0.338434i | ||||
\(205\) | −1.09358 | + | 22.9570i | −0.0763788 | + | 1.60339i | ||||
\(206\) | 0.0489982 | − | 0.0848674i | 0.00341387 | − | 0.00591299i | ||||
\(207\) | −4.50981 | + | 1.63144i | −0.313454 | + | 0.113393i | ||||
\(208\) | −2.03606 | − | 3.52656i | −0.141176 | − | 0.244523i | ||||
\(209\) | 12.5365 | + | 8.05674i | 0.867171 | + | 0.557297i | ||||
\(210\) | −3.93680 | − | 4.53022i | −0.271665 | − | 0.312615i | ||||
\(211\) | −4.15356 | − | 9.09503i | −0.285943 | − | 0.626128i | 0.711090 | − | 0.703101i | \(-0.248202\pi\) |
−0.997033 | + | 0.0769731i | \(0.975474\pi\) | |||||||
\(212\) | 2.12380 | + | 8.75444i | 0.145863 | + | 0.601257i | ||||
\(213\) | 7.00554 | + | 9.83790i | 0.480011 | + | 0.674082i | ||||
\(214\) | −0.300027 | − | 0.866870i | −0.0205094 | − | 0.0592580i | ||||
\(215\) | 20.2608 | − | 8.11121i | 1.38178 | − | 0.553180i | ||||
\(216\) | −0.959493 | + | 0.281733i | −0.0652852 | + | 0.0191695i | ||||
\(217\) | 2.46164 | + | 10.0841i | 0.167107 | + | 0.684555i | ||||
\(218\) | −0.437647 | + | 0.281258i | −0.0296412 | + | 0.0190492i | ||||
\(219\) | −7.68094 | − | 3.95980i | −0.519030 | − | 0.267578i | ||||
\(220\) | 11.2485 | − | 2.16796i | 0.758371 | − | 0.146164i | ||||
\(221\) | −4.68837 | + | 19.3257i | −0.315374 | + | 1.29999i | ||||
\(222\) | −8.82010 | + | 3.53104i | −0.591967 | + | 0.236988i | ||||
\(223\) | −15.5808 | + | 17.9812i | −1.04337 | + | 1.20411i | −0.0648635 | + | 0.997894i | \(0.520661\pi\) |
−0.978506 | + | 0.206218i | \(0.933884\pi\) | |||||||
\(224\) | 2.07736 | − | 1.63846i | 0.138800 | − | 0.109474i | ||||
\(225\) | −0.139980 | − | 0.0411017i | −0.00933197 | − | 0.00274011i | ||||
\(226\) | −4.26245 | + | 5.98577i | −0.283534 | + | 0.398168i | ||||
\(227\) | 4.20166 | + | 1.68209i | 0.278874 | + | 0.111644i | 0.506883 | − | 0.862015i | \(-0.330797\pi\) |
−0.228009 | + | 0.973659i | \(0.573222\pi\) | |||||||
\(228\) | 2.62295 | − | 1.35222i | 0.173709 | − | 0.0895531i | ||||
\(229\) | −7.23332 | − | 12.5285i | −0.477991 | − | 0.827905i | 0.521690 | − | 0.853135i | \(-0.325302\pi\) |
−0.999682 | + | 0.0252295i | \(0.991968\pi\) | |||||||
\(230\) | 2.91955 | − | 10.4801i | 0.192509 | − | 0.691035i | ||||
\(231\) | −11.2295 | + | 7.23943i | −0.738845 | + | 0.476319i | ||||
\(232\) | 1.97902 | + | 1.27184i | 0.129929 | + | 0.0835003i | ||||
\(233\) | −23.4323 | + | 18.4273i | −1.53510 | + | 1.20721i | −0.634212 | + | 0.773160i | \(0.718675\pi\) |
−0.900886 | + | 0.434055i | \(0.857082\pi\) | |||||||
\(234\) | 4.05369 | + | 0.387080i | 0.264998 | + | 0.0253042i | ||||
\(235\) | 17.6579 | − | 16.8368i | 1.15188 | − | 1.09831i | ||||
\(236\) | 4.47713 | − | 0.427514i | 0.291436 | − | 0.0278288i | ||||
\(237\) | 4.11360 | − | 4.74735i | 0.267207 | − | 0.308373i | ||||
\(238\) | −12.8638 | − | 1.20980i | −0.833836 | − | 0.0784200i | ||||
\(239\) | 12.1978 | − | 3.58160i | 0.789010 | − | 0.231674i | 0.137688 | − | 0.990476i | \(-0.456033\pi\) |
0.651322 | + | 0.758801i | \(0.274215\pi\) | |||||||
\(240\) | 0.741939 | − | 2.14369i | 0.0478920 | − | 0.138375i | ||||
\(241\) | 0.0473625 | + | 0.994261i | 0.00305089 | + | 0.0640460i | 0.999879 | − | 0.0155345i | \(-0.00494497\pi\) |
−0.996828 | + | 0.0795805i | \(0.974642\pi\) | |||||||
\(242\) | −0.690008 | − | 14.4851i | −0.0443554 | − | 0.931135i | ||||
\(243\) | 0.327068 | − | 0.945001i | 0.0209814 | − | 0.0606218i | ||||
\(244\) | −0.844414 | + | 0.247942i | −0.0540581 | + | 0.0158729i | ||||
\(245\) | −14.0931 | + | 7.31655i | −0.900378 | + | 0.467437i | ||||
\(246\) | 6.63478 | − | 7.65694i | 0.423018 | − | 0.488189i | ||||
\(247\) | −11.9624 | + | 1.14227i | −0.761149 | + | 0.0726809i | ||||
\(248\) | −2.83947 | + | 2.70743i | −0.180307 | + | 0.171922i | ||||
\(249\) | 3.43704 | + | 0.328198i | 0.217814 | + | 0.0207987i | ||||
\(250\) | −8.65549 | + | 6.80675i | −0.547421 | + | 0.430497i | ||||
\(251\) | −21.3384 | − | 13.7134i | −1.34687 | − | 0.865581i | −0.349421 | − | 0.936966i | \(-0.613622\pi\) |
−0.997449 | + | 0.0713847i | \(0.977258\pi\) | |||||||
\(252\) | 0.129665 | + | 2.64257i | 0.00816810 | + | 0.166466i | ||||
\(253\) | −22.1677 | − | 9.75339i | −1.39367 | − | 0.613190i | ||||
\(254\) | −10.2318 | − | 17.7220i | −0.641999 | − | 1.11198i | ||||
\(255\) | −9.84654 | + | 5.07625i | −0.616615 | + | 0.317887i | ||||
\(256\) | 0.928368 | + | 0.371662i | 0.0580230 | + | 0.0232289i | ||||
\(257\) | −10.2800 | + | 14.4362i | −0.641248 | + | 0.900507i | −0.999451 | − | 0.0331367i | \(-0.989450\pi\) |
0.358203 | + | 0.933644i | \(0.383390\pi\) | |||||||
\(258\) | −9.23100 | − | 2.71047i | −0.574697 | − | 0.168746i | ||||
\(259\) | 3.61281 | + | 24.8754i | 0.224489 | + | 1.54568i | ||||
\(260\) | −6.04923 | + | 6.98119i | −0.375158 | + | 0.432955i | ||||
\(261\) | −2.18395 | + | 0.874323i | −0.135183 | + | 0.0541192i | ||||
\(262\) | 4.80490 | − | 19.8061i | 0.296848 | − | 1.22362i | ||||
\(263\) | −1.19957 | + | 0.231199i | −0.0739689 | + | 0.0142563i | −0.226101 | − | 0.974104i | \(-0.572598\pi\) |
0.152132 | + | 0.988360i | \(0.451386\pi\) | |||||||
\(264\) | −4.48853 | − | 2.31400i | −0.276250 | − | 0.142417i | ||||
\(265\) | 17.1911 | − | 11.0480i | 1.05604 | − | 0.678676i | ||||
\(266\) | −1.85154 | − | 7.58487i | −0.113526 | − | 0.465058i | ||||
\(267\) | −4.78592 | + | 1.40527i | −0.292893 | + | 0.0860013i | ||||
\(268\) | −1.84066 | + | 0.736890i | −0.112436 | + | 0.0450127i | ||||
\(269\) | −5.29876 | − | 15.3098i | −0.323071 | − | 0.933453i | −0.983237 | − | 0.182333i | \(-0.941635\pi\) |
0.660165 | − | 0.751120i | \(-0.270486\pi\) | |||||||
\(270\) | 1.31583 | + | 1.84783i | 0.0800791 | + | 0.112455i | ||||
\(271\) | 3.42032 | + | 14.0987i | 0.207769 | + | 0.856437i | 0.976264 | + | 0.216582i | \(0.0694908\pi\) |
−0.768495 | + | 0.639856i | \(0.778994\pi\) | |||||||
\(272\) | −2.02868 | − | 4.44220i | −0.123007 | − | 0.269348i | ||||
\(273\) | 3.50923 | − | 10.1863i | 0.212388 | − | 0.616503i | ||||
\(274\) | −4.98930 | − | 3.20643i | −0.301415 | − | 0.193707i | ||||
\(275\) | −0.368362 | − | 0.638022i | −0.0222131 | − | 0.0384742i | ||||
\(276\) | −3.86751 | + | 2.83591i | −0.232797 | + | 0.170702i | ||||
\(277\) | −0.881418 | + | 1.52666i | −0.0529593 | + | 0.0917281i | −0.891290 | − | 0.453434i | \(-0.850199\pi\) |
0.838330 | + | 0.545162i | \(0.183532\pi\) | |||||||
\(278\) | −0.225734 | + | 4.73873i | −0.0135386 | + | 0.284210i | ||||
\(279\) | −0.558352 | − | 3.88343i | −0.0334277 | − | 0.232495i | ||||
\(280\) | −5.05364 | − | 3.23759i | −0.302013 | − | 0.193483i | ||||
\(281\) | −3.24954 | − | 0.954150i | −0.193851 | − | 0.0569198i | 0.183366 | − | 0.983045i | \(-0.441301\pi\) |
−0.377217 | + | 0.926125i | \(0.623119\pi\) | |||||||
\(282\) | −10.7068 | + | 1.02238i | −0.637581 | + | 0.0608816i | ||||
\(283\) | 5.03925 | + | 14.5599i | 0.299552 | + | 0.865499i | 0.989868 | + | 0.141991i | \(0.0453503\pi\) |
−0.690316 | + | 0.723508i | \(0.742528\pi\) | |||||||
\(284\) | 9.49342 | + | 7.46571i | 0.563331 | + | 0.443008i | ||||
\(285\) | −4.84482 | − | 4.61952i | −0.286982 | − | 0.273637i | ||||
\(286\) | 13.4664 | + | 15.5411i | 0.796287 | + | 0.918965i | ||||
\(287\) | −15.5800 | − | 21.8130i | −0.919657 | − | 1.28758i | ||||
\(288\) | −0.841254 | + | 0.540641i | −0.0495713 | + | 0.0318576i | ||||
\(289\) | −2.23999 | + | 6.47202i | −0.131764 | + | 0.380707i | ||||
\(290\) | 1.25812 | − | 5.18603i | 0.0738793 | − | 0.304534i | ||||
\(291\) | 4.90580 | + | 3.85797i | 0.287583 | + | 0.226158i | ||||
\(292\) | −8.48541 | − | 1.63543i | −0.496571 | − | 0.0957062i | ||||
\(293\) | −3.61576 | + | 7.91741i | −0.211235 | + | 0.462540i | −0.985359 | − | 0.170494i | \(-0.945464\pi\) |
0.774124 | + | 0.633034i | \(0.218191\pi\) | |||||||
\(294\) | 6.87726 | + | 1.30512i | 0.401090 | + | 0.0761160i | ||||
\(295\) | −4.23821 | − | 9.28039i | −0.246758 | − | 0.540325i | ||||
\(296\) | −7.46802 | + | 5.87292i | −0.434070 | + | 0.341356i | ||||
\(297\) | 4.48853 | − | 2.31400i | 0.260451 | − | 0.134272i | ||||
\(298\) | −2.33996 | + | 4.05293i | −0.135550 | + | 0.234780i | ||||
\(299\) | 18.9129 | − | 4.86767i | 1.09376 | − | 0.281505i | ||||
\(300\) | −0.145889 | −0.00842291 | ||||||||
\(301\) | −12.6955 | + | 22.0620i | −0.731756 | + | 1.27163i | ||||
\(302\) | −2.32602 | − | 16.1778i | −0.133847 | − | 0.930928i | ||||
\(303\) | −7.44451 | + | 10.4543i | −0.427676 | + | 0.600586i | ||||
\(304\) | 2.13573 | − | 2.03642i | 0.122493 | − | 0.116797i | ||||
\(305\) | 1.15802 | + | 1.62621i | 0.0663078 | + | 0.0931163i | ||||
\(306\) | 4.79526 | + | 0.924211i | 0.274127 | + | 0.0528336i | ||||
\(307\) | 4.03858 | − | 28.0889i | 0.230494 | − | 1.60312i | −0.465484 | − | 0.885056i | \(-0.654120\pi\) |
0.695978 | − | 0.718063i | \(-0.254971\pi\) | |||||||
\(308\) | −8.73502 | + | 10.1099i | −0.497724 | + | 0.576064i | ||||
\(309\) | 0.0641740 | + | 0.0740608i | 0.00365073 | + | 0.00421317i | ||||
\(310\) | 7.91061 | + | 4.07820i | 0.449292 | + | 0.231626i | ||||
\(311\) | −1.40952 | − | 29.5895i | −0.0799267 | − | 1.67787i | −0.582113 | − | 0.813108i | \(-0.697774\pi\) |
0.502186 | − | 0.864759i | \(-0.332529\pi\) | |||||||
\(312\) | 3.99854 | − | 0.770655i | 0.226373 | − | 0.0436297i | ||||
\(313\) | 1.84957 | + | 1.76356i | 0.104544 | + | 0.0996824i | 0.740549 | − | 0.672003i | \(-0.234566\pi\) |
−0.636005 | + | 0.771685i | \(0.719414\pi\) | |||||||
\(314\) | −1.37235 | + | 9.54488i | −0.0774460 | + | 0.538649i | ||||
\(315\) | 5.56866 | − | 2.23859i | 0.313758 | − | 0.126130i | ||||
\(316\) | 2.60949 | − | 5.71398i | 0.146795 | − | 0.321437i | ||||
\(317\) | 5.97826 | + | 24.6427i | 0.335773 | + | 1.38407i | 0.850164 | + | 0.526519i | \(0.176503\pi\) |
−0.514391 | + | 0.857556i | \(0.671982\pi\) | |||||||
\(318\) | −8.96758 | − | 0.856300i | −0.502877 | − | 0.0480189i | ||||
\(319\) | −11.0287 | − | 4.41524i | −0.617491 | − | 0.247206i | ||||
\(320\) | 0.107937 | − | 2.26589i | 0.00603389 | − | 0.126667i | ||||
\(321\) | 0.917322 | 0.0511999 | ||||||||
\(322\) | 4.89595 | + | 11.7060i | 0.272841 | + | 0.652348i | ||||
\(323\) | −14.4112 | −0.801861 | ||||||||
\(324\) | 0.0475819 | − | 0.998867i | 0.00264344 | − | 0.0554926i | ||||
\(325\) | 0.551523 | + | 0.220797i | 0.0305930 | + | 0.0122476i | ||||
\(326\) | −14.9925 | − | 1.43161i | −0.830359 | − | 0.0792897i | ||||
\(327\) | −0.122649 | − | 0.505567i | −0.00678252 | − | 0.0279579i | ||||
\(328\) | 4.20881 | − | 9.21601i | 0.232393 | − | 0.508869i | ||||
\(329\) | −4.00953 | + | 28.1725i | −0.221053 | + | 1.55320i | ||||
\(330\) | −1.63028 | + | 11.3389i | −0.0897441 | + | 0.624184i | ||||
\(331\) | −10.9824 | − | 10.4717i | −0.603648 | − | 0.575577i | 0.325382 | − | 0.945583i | \(-0.394507\pi\) |
−0.929029 | + | 0.370006i | \(0.879356\pi\) | |||||||
\(332\) | 3.39028 | − | 0.653423i | 0.186066 | − | 0.0358613i | ||||
\(333\) | −0.452059 | − | 9.48990i | −0.0247727 | − | 0.520043i | ||||
\(334\) | −20.6670 | − | 10.6546i | −1.13085 | − | 0.582994i | ||||
\(335\) | 2.94532 | + | 3.39909i | 0.160920 | + | 0.185712i | ||||
\(336\) | 0.868911 | + | 2.49900i | 0.0474030 | + | 0.136332i | ||||
\(337\) | 3.69569 | − | 25.7041i | 0.201317 | − | 1.40019i | −0.599065 | − | 0.800701i | \(-0.704461\pi\) |
0.800382 | − | 0.599490i | \(-0.204630\pi\) | |||||||
\(338\) | −3.51747 | − | 0.677937i | −0.191325 | − | 0.0368749i | ||||
\(339\) | −4.26245 | − | 5.98577i | −0.231505 | − | 0.325103i | ||||
\(340\) | −8.01755 | + | 7.64471i | −0.434812 | + | 0.414593i | ||||
\(341\) | 11.4924 | − | 16.1388i | 0.622350 | − | 0.873968i | ||||
\(342\) | 0.419970 | + | 2.92096i | 0.0227094 | + | 0.157947i | ||||
\(343\) | 7.62134 | − | 16.8794i | 0.411513 | − | 0.911404i | ||||
\(344\) | −9.62070 | −0.518714 | ||||||||
\(345\) | 8.94878 | + | 6.18667i | 0.481786 | + | 0.333079i | ||||
\(346\) | −1.82170 | + | 3.15528i | −0.0979352 | + | 0.169629i | ||||
\(347\) | 17.7513 | − | 9.15143i | 0.952940 | − | 0.491275i | 0.0896444 | − | 0.995974i | \(-0.471427\pi\) |
0.863295 | + | 0.504699i | \(0.168397\pi\) | |||||||
\(348\) | −1.84916 | + | 1.45420i | −0.0991255 | + | 0.0779532i | ||||
\(349\) | −10.2426 | − | 22.4282i | −0.548273 | − | 1.20055i | −0.957583 | − | 0.288156i | \(-0.906958\pi\) |
0.409310 | − | 0.912395i | \(-0.365769\pi\) | |||||||
\(350\) | −0.0904638 | + | 0.375235i | −0.00483549 | + | 0.0200572i | ||||
\(351\) | −1.69162 | + | 3.70414i | −0.0902921 | + | 0.197712i | ||||
\(352\) | −4.95864 | − | 0.955700i | −0.264296 | − | 0.0509390i | ||||
\(353\) | 14.2157 | + | 11.1794i | 0.756627 | + | 0.595018i | 0.920170 | − | 0.391518i | \(-0.128050\pi\) |
−0.163543 | + | 0.986536i | \(0.552292\pi\) | |||||||
\(354\) | −1.06032 | + | 4.37071i | −0.0563556 | + | 0.232301i | ||||
\(355\) | 8.96064 | − | 25.8901i | 0.475581 | − | 1.37410i | ||||
\(356\) | −4.19614 | + | 2.69670i | −0.222395 | + | 0.142925i | ||||
\(357\) | 5.35060 | − | 11.7606i | 0.283184 | − | 0.622437i | ||||
\(358\) | −2.64798 | − | 3.05593i | −0.139950 | − | 0.161511i | ||||
\(359\) | 25.5886 | + | 24.3987i | 1.35052 | + | 1.28771i | 0.923566 | + | 0.383440i | \(0.125261\pi\) |
0.426950 | + | 0.904275i | \(0.359588\pi\) | |||||||
\(360\) | 1.78313 | + | 1.40227i | 0.0939790 | + | 0.0739059i | ||||
\(361\) | 3.36607 | + | 9.72561i | 0.177161 | + | 0.511874i | ||||
\(362\) | 11.5170 | − | 1.09974i | 0.605321 | − | 0.0578012i | ||||
\(363\) | 13.9141 | + | 4.08554i | 0.730299 | + | 0.214435i | ||||
\(364\) | 0.497268 | − | 10.7624i | 0.0260639 | − | 0.564100i | ||||
\(365\) | 2.78980 | + | 19.4035i | 0.146025 | + | 1.01563i | ||||
\(366\) | 0.0418751 | − | 0.879066i | 0.00218885 | − | 0.0459495i | ||||
\(367\) | 13.9950 | − | 24.2401i | 0.730535 | − | 1.26532i | −0.226120 | − | 0.974099i | \(-0.572604\pi\) |
0.956655 | − | 0.291224i | \(-0.0940625\pi\) | |||||||
\(368\) | −2.91188 | + | 3.81064i | −0.151792 | + | 0.198643i | ||||
\(369\) | 5.06579 | + | 8.77421i | 0.263715 | + | 0.456767i | ||||
\(370\) | 18.1305 | + | 11.6518i | 0.942562 | + | 0.605748i | ||||
\(371\) | −7.76313 | + | 22.5342i | −0.403042 | + | 1.16992i | ||||
\(372\) | −1.62982 | − | 3.56881i | −0.0845024 | − | 0.185034i | ||||
\(373\) | 1.10326 | + | 4.54768i | 0.0571244 | + | 0.235470i | 0.993216 | − | 0.116287i | \(-0.0370994\pi\) |
−0.936091 | + | 0.351757i | \(0.885584\pi\) | |||||||
\(374\) | 14.3049 | + | 20.0885i | 0.739690 | + | 1.03875i | ||||
\(375\) | −3.60145 | − | 10.4057i | −0.185978 | − | 0.537349i | ||||
\(376\) | −9.98507 | + | 3.99742i | −0.514941 | + | 0.206151i | ||||
\(377\) | 9.19149 | − | 2.69887i | 0.473386 | − | 0.138999i | ||||
\(378\) | −2.53964 | − | 0.741768i | −0.130625 | − | 0.0381524i | ||||
\(379\) | −9.23759 | + | 5.93664i | −0.474503 | + | 0.304945i | −0.755947 | − | 0.654633i | \(-0.772823\pi\) |
0.281444 | + | 0.959578i | \(0.409187\pi\) | |||||||
\(380\) | −5.95004 | − | 3.06746i | −0.305230 | − | 0.157357i | ||||
\(381\) | 20.0938 | − | 3.87276i | 1.02943 | − | 0.198407i | ||||
\(382\) | −0.221027 | + | 0.911086i | −0.0113087 | + | 0.0466152i | ||||
\(383\) | 32.2713 | − | 12.9195i | 1.64899 | − | 0.660154i | 0.653665 | − | 0.756784i | \(-0.273231\pi\) |
0.995320 | + | 0.0966299i | \(0.0308063\pi\) | |||||||
\(384\) | −0.654861 | + | 0.755750i | −0.0334182 | + | 0.0385667i | ||||
\(385\) | 28.1533 | + | 11.2243i | 1.43483 | + | 0.572042i | ||||
\(386\) | −10.8602 | − | 3.18884i | −0.552769 | − | 0.162308i | ||||
\(387\) | 5.58056 | − | 7.83679i | 0.283676 | − | 0.398367i | ||||
\(388\) | 5.79400 | + | 2.31957i | 0.294146 | + | 0.117758i | ||||
\(389\) | −18.8631 | + | 9.72461i | −0.956398 | + | 0.493057i | −0.864457 | − | 0.502707i | \(-0.832337\pi\) |
−0.0919408 | + | 0.995764i | \(0.529307\pi\) | |||||||
\(390\) | −4.61872 | − | 7.99985i | −0.233878 | − | 0.405088i | ||||
\(391\) | 23.1335 | − | 3.65514i | 1.16991 | − | 0.184848i | ||||
\(392\) | 6.96637 | − | 0.685296i | 0.351855 | − | 0.0346127i | ||||
\(393\) | 17.1452 | + | 11.0186i | 0.864863 | + | 0.555814i | ||||
\(394\) | 2.00483 | − | 1.57662i | 0.101002 | − | 0.0794288i | ||||
\(395\) | −14.1851 | − | 1.35451i | −0.713730 | − | 0.0681529i | ||||
\(396\) | 3.65478 | − | 3.48483i | 0.183660 | − | 0.175119i | ||||
\(397\) | −23.6256 | + | 2.25597i | −1.18574 | + | 0.113224i | −0.669227 | − | 0.743058i | \(-0.733375\pi\) |
−0.516509 | + | 0.856282i | \(0.672769\pi\) | |||||||
\(398\) | −12.7495 | + | 14.7138i | −0.639077 | + | 0.737534i | ||||
\(399\) | 7.77329 | + | 0.731057i | 0.389151 | + | 0.0365986i | ||||
\(400\) | −0.139980 | + | 0.0411017i | −0.00699898 | + | 0.00205508i | ||||
\(401\) | 5.93234 | − | 17.1404i | 0.296247 | − | 0.855950i | −0.694411 | − | 0.719579i | \(-0.744335\pi\) |
0.990658 | − | 0.136371i | \(-0.0435439\pi\) | |||||||
\(402\) | −0.0943400 | − | 1.98044i | −0.00470525 | − | 0.0987754i | ||||
\(403\) | 0.760189 | + | 15.9583i | 0.0378677 | + | 0.794941i | ||||
\(404\) | −4.19762 | + | 12.1282i | −0.208839 | + | 0.603402i | ||||
\(405\) | −2.17657 | + | 0.639098i | −0.108154 | + | 0.0317570i | ||||
\(406\) | 2.59364 | + | 5.65788i | 0.128720 | + | 0.280796i | ||||
\(407\) | 31.4185 | − | 36.2589i | 1.55736 | − | 1.79729i | ||||
\(408\) | 4.86140 | − | 0.464207i | 0.240675 | − | 0.0229817i | ||||
\(409\) | 22.9175 | − | 21.8518i | 1.13320 | − | 1.08050i | 0.137251 | − | 0.990536i | \(-0.456173\pi\) |
0.995945 | − | 0.0899639i | \(-0.0286752\pi\) | |||||||
\(410\) | −22.8790 | − | 2.18468i | −1.12991 | − | 0.107894i | ||||
\(411\) | 4.66192 | − | 3.66617i | 0.229955 | − | 0.180839i | ||||
\(412\) | 0.0824398 | + | 0.0529809i | 0.00406152 | + | 0.00261018i | ||||
\(413\) | 10.5842 | + | 5.43744i | 0.520817 | + | 0.267559i | ||||
\(414\) | −1.41500 | − | 4.58233i | −0.0695436 | − | 0.225209i | ||||
\(415\) | −3.91612 | − | 6.78292i | −0.192235 | − | 0.332960i | ||||
\(416\) | 3.61945 | − | 1.86596i | 0.177458 | − | 0.0914860i | ||||
\(417\) | −4.40427 | − | 1.76321i | −0.215678 | − | 0.0863445i | ||||
\(418\) | −8.64413 | + | 12.1390i | −0.422798 | + | 0.593737i | ||||
\(419\) | −29.1835 | − | 8.56905i | −1.42571 | − | 0.418625i | −0.524276 | − | 0.851548i | \(-0.675664\pi\) |
−0.901431 | + | 0.432923i | \(0.857482\pi\) | |||||||
\(420\) | 4.71240 | − | 3.71678i | 0.229942 | − | 0.181360i | ||||
\(421\) | 15.2138 | − | 17.5577i | 0.741476 | − | 0.855708i | −0.252237 | − | 0.967665i | \(-0.581166\pi\) |
0.993713 | + | 0.111957i | \(0.0357119\pi\) | |||||||
\(422\) | 9.28236 | − | 3.71610i | 0.451858 | − | 0.180897i | ||||
\(423\) | 2.53571 | − | 10.4523i | 0.123290 | − | 0.508210i | ||||
\(424\) | −8.84558 | + | 1.70485i | −0.429579 | + | 0.0827946i | ||||
\(425\) | 0.633252 | + | 0.326464i | 0.0307172 | + | 0.0158358i | ||||
\(426\) | −10.1601 | + | 6.52950i | −0.492258 | + | 0.316355i | ||||
\(427\) | −2.23504 | − | 0.652802i | −0.108161 | − | 0.0315913i | ||||
\(428\) | 0.880164 | − | 0.258440i | 0.0425443 | − | 0.0124921i | ||||
\(429\) | −19.0908 | + | 7.64280i | −0.921712 | + | 0.368998i | ||||
\(430\) | 7.13798 | + | 20.6238i | 0.344224 | + | 0.994569i | ||||
\(431\) | 5.16534 | + | 7.25371i | 0.248806 | + | 0.349399i | 0.920025 | − | 0.391860i | \(-0.128168\pi\) |
−0.671219 | + | 0.741259i | \(0.734229\pi\) | |||||||
\(432\) | −0.235759 | − | 0.971812i | −0.0113430 | − | 0.0467563i | ||||
\(433\) | −8.13419 | − | 17.8114i | −0.390904 | − | 0.855961i | −0.998112 | − | 0.0614181i | \(-0.980438\pi\) |
0.607208 | − | 0.794543i | \(-0.292290\pi\) | |||||||
\(434\) | −10.1898 | + | 1.97903i | −0.489128 | + | 0.0949964i | ||||
\(435\) | 4.48932 | + | 2.88511i | 0.215246 | + | 0.138330i | ||||
\(436\) | −0.260116 | − | 0.450534i | −0.0124573 | − | 0.0215767i | ||||
\(437\) | 6.65934 | + | 12.4878i | 0.318559 | + | 0.597373i | ||||
\(438\) | 4.32079 | − | 7.48382i | 0.206455 | − | 0.357591i | ||||
\(439\) | −0.783957 | + | 16.4573i | −0.0374162 | + | 0.785464i | 0.899713 | + | 0.436482i | \(0.143776\pi\) |
−0.937129 | + | 0.348982i | \(0.886527\pi\) | |||||||
\(440\) | 1.63028 | + | 11.3389i | 0.0777207 | + | 0.540559i | ||||
\(441\) | −3.48267 | + | 6.07215i | −0.165841 | + | 0.289150i | ||||
\(442\) | −19.0807 | − | 5.60261i | −0.907578 | − | 0.266489i | ||||
\(443\) | −4.85445 | + | 0.463543i | −0.230642 | + | 0.0220236i | −0.209737 | − | 0.977758i | \(-0.567261\pi\) |
−0.0209048 | + | 0.999781i | \(0.506655\pi\) | |||||||
\(444\) | −3.10736 | − | 8.97813i | −0.147469 | − | 0.426083i | ||||
\(445\) | 8.89417 | + | 6.99445i | 0.421624 | + | 0.331569i | ||||
\(446\) | −17.2195 | − | 16.4188i | −0.815367 | − | 0.777451i | ||||
\(447\) | −3.06470 | − | 3.53685i | −0.144955 | − | 0.167287i | ||||
\(448\) | 1.53776 | + | 2.15297i | 0.0726525 | + | 0.101718i | ||||
\(449\) | −13.9059 | + | 8.93681i | −0.656262 | + | 0.421754i | −0.825950 | − | 0.563744i | \(-0.809360\pi\) |
0.169688 | + | 0.985498i | \(0.445724\pi\) | |||||||
\(450\) | 0.0477156 | − | 0.137865i | 0.00224934 | − | 0.00649903i | ||||
\(451\) | −12.0622 | + | 49.7213i | −0.567989 | + | 2.34128i | ||||
\(452\) | −5.77618 | − | 4.54244i | −0.271689 | − | 0.213658i | ||||
\(453\) | 16.0488 | + | 3.09315i | 0.754039 | + | 0.145329i | ||||
\(454\) | −1.88011 | + | 4.11687i | −0.0882379 | + | 0.193214i | ||||
\(455\) | −23.4401 | + | 6.91902i | −1.09889 | + | 0.324369i | ||||
\(456\) | 1.22589 | + | 2.68432i | 0.0574074 | + | 0.125705i | ||||
\(457\) | 15.4162 | − | 12.1234i | 0.721140 | − | 0.567111i | −0.188718 | − | 0.982031i | \(-0.560433\pi\) |
0.909858 | + | 0.414921i | \(0.136191\pi\) | |||||||
\(458\) | 12.8585 | − | 6.62900i | 0.600837 | − | 0.309753i | ||||
\(459\) | −2.44176 | + | 4.22925i | −0.113971 | + | 0.197404i | ||||
\(460\) | 10.3293 | + | 3.41490i | 0.481605 | + | 0.159221i | ||||
\(461\) | 3.59846 | 0.167597 | 0.0837985 | − | 0.996483i | \(-0.473295\pi\) | ||||
0.0837985 | + | 0.996483i | \(0.473295\pi\) | |||||||
\(462\) | −6.69691 | − | 11.5612i | −0.311568 | − | 0.537877i | ||||
\(463\) | −2.94602 | − | 20.4900i | −0.136913 | − | 0.952252i | −0.936241 | − | 0.351357i | \(-0.885720\pi\) |
0.799328 | − | 0.600895i | \(-0.205189\pi\) | |||||||
\(464\) | −1.36456 | + | 1.91626i | −0.0633483 | + | 0.0889602i | ||||
\(465\) | −6.44121 | + | 6.14168i | −0.298704 | + | 0.284814i | ||||
\(466\) | −17.2915 | − | 24.2825i | −0.801013 | − | 1.12487i | ||||
\(467\) | −17.5655 | − | 3.38548i | −0.812836 | − | 0.156661i | −0.234138 | − | 0.972203i | \(-0.575227\pi\) |
−0.578698 | + | 0.815542i | \(0.696439\pi\) | |||||||
\(468\) | −0.579524 | + | 4.03068i | −0.0267885 | + | 0.186318i | ||||
\(469\) | −5.15231 | − | 0.985396i | −0.237912 | − | 0.0455014i | ||||
\(470\) | 15.9775 | + | 18.4391i | 0.736989 | + | 0.850531i | ||||
\(471\) | −8.57107 | − | 4.41869i | −0.394934 | − | 0.203603i | ||||
\(472\) | 0.213999 | + | 4.49240i | 0.00985011 | + | 0.206779i | ||||
\(473\) | 47.7056 | − | 9.19450i | 2.19351 | − | 0.422764i | ||||
\(474\) | 4.54624 | + | 4.33483i | 0.208816 | + | 0.199105i | ||||
\(475\) | −0.0612690 | + | 0.426135i | −0.00281122 | + | 0.0195524i | ||||
\(476\) | 1.82052 | − | 12.7917i | 0.0834433 | − | 0.586305i | ||||
\(477\) | 3.74221 | − | 8.19430i | 0.171344 | − | 0.375191i | ||||
\(478\) | 2.99715 | + | 12.3544i | 0.137086 | + | 0.565077i | ||||
\(479\) | −10.4438 | − | 0.997260i | −0.477188 | − | 0.0455660i | −0.146309 | − | 0.989239i | \(-0.546739\pi\) |
−0.330880 | + | 0.943673i | \(0.607345\pi\) | |||||||
\(480\) | 2.10596 | + | 0.843100i | 0.0961235 | + | 0.0384821i | ||||
\(481\) | −1.84084 | + | 38.6440i | −0.0839352 | + | 1.76202i | ||||
\(482\) | −0.995389 | −0.0453387 | ||||||||
\(483\) | −12.6635 | + | 0.798028i | −0.576207 | + | 0.0363115i | ||||
\(484\) | 14.5015 | 0.659158 | ||||||||
\(485\) | 0.673644 | − | 14.1415i | 0.0305886 | − | 0.642134i | ||||
\(486\) | 0.928368 | + | 0.371662i | 0.0421116 | + | 0.0168590i | ||||
\(487\) | 30.5958 | + | 2.92154i | 1.38643 | + | 0.132388i | 0.761434 | − | 0.648243i | \(-0.224496\pi\) |
0.624993 | + | 0.780631i | \(0.285102\pi\) | |||||||
\(488\) | −0.207483 | − | 0.855255i | −0.00939230 | − | 0.0387156i | ||||
\(489\) | 6.25645 | − | 13.6997i | 0.282926 | − | 0.619522i | ||||
\(490\) | −6.63769 | − | 14.4253i | −0.299860 | − | 0.651669i | ||||
\(491\) | 3.95130 | − | 27.4819i | 0.178320 | − | 1.24024i | −0.682331 | − | 0.731044i | \(-0.739034\pi\) |
0.860650 | − | 0.509196i | \(-0.170057\pi\) | |||||||
\(492\) | 7.33257 | + | 6.99160i | 0.330578 | + | 0.315205i | ||||
\(493\) | 11.2807 | − | 2.17417i | 0.508056 | − | 0.0979198i | ||||
\(494\) | −0.571783 | − | 12.0032i | −0.0257257 | − | 0.540050i | ||||
\(495\) | −10.1820 | − | 5.24920i | −0.457648 | − | 0.235934i | ||||
\(496\) | −2.56925 | − | 2.96508i | −0.115363 | − | 0.133136i | ||||
\(497\) | 10.4941 | + | 30.1812i | 0.470726 | + | 1.35381i | ||||
\(498\) | −0.491367 | + | 3.41753i | −0.0220187 | + | 0.153143i | ||||
\(499\) | 35.3601 | + | 6.81509i | 1.58293 | + | 0.305086i | 0.903479 | − | 0.428632i | \(-0.141004\pi\) |
0.679455 | + | 0.733717i | \(0.262216\pi\) | |||||||
\(500\) | −6.38720 | − | 8.96957i | −0.285644 | − | 0.401131i | ||||
\(501\) | 16.8281 | − | 16.0456i | 0.751826 | − | 0.716864i | ||||
\(502\) | 14.7132 | − | 20.6618i | 0.656681 | − | 0.922179i | ||||
\(503\) | −2.71866 | − | 18.9087i | −0.121219 | − | 0.843097i | −0.956178 | − | 0.292785i | \(-0.905418\pi\) |
0.834959 | − | 0.550312i | \(-0.185491\pi\) | |||||||
\(504\) | −2.64575 | + | 0.00377900i | −0.117851 | + | 0.000168330i | ||||
\(505\) | 29.1136 | 1.29554 | ||||||||
\(506\) | 10.7971 | − | 21.6785i | 0.479991 | − | 0.963726i | ||||
\(507\) | 1.79110 | − | 3.10228i | 0.0795457 | − | 0.137777i | ||||
\(508\) | 18.1887 | − | 9.37695i | 0.806995 | − | 0.416035i | ||||
\(509\) | 10.1075 | − | 7.94866i | 0.448009 | − | 0.352318i | −0.368523 | − | 0.929619i | \(-0.620136\pi\) |
0.816532 | + | 0.577301i | \(0.195894\pi\) | |||||||
\(510\) | −4.60198 | − | 10.0769i | −0.203779 | − | 0.446214i | ||||
\(511\) | −16.5696 | − | 15.7539i | −0.732995 | − | 0.696913i | ||||
\(512\) | −0.415415 | + | 0.909632i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | −2.89766 | − | 0.558479i | −0.127935 | − | 0.0246574i | ||||
\(514\) | −13.9307 | − | 10.9553i | −0.614458 | − | 0.483215i | ||||
\(515\) | 0.0524093 | − | 0.216034i | 0.00230943 | − | 0.00951960i | ||||
\(516\) | 3.14662 | − | 9.09157i | 0.138522 | − | 0.400234i | ||||
\(517\) | 45.6920 | − | 29.3645i | 2.00953 | − | 1.29145i | ||||
\(518\) | −25.0191 | + | 2.42510i | −1.09928 | + | 0.106553i | ||||
\(519\) | −2.38592 | − | 2.75350i | −0.104730 | − | 0.120865i | ||||
\(520\) | −6.68545 | − | 6.37456i | −0.293176 | − | 0.279543i | ||||
\(521\) | −11.4142 | − | 8.97625i | −0.500067 | − | 0.393257i | 0.336019 | − | 0.941855i | \(-0.390919\pi\) |
−0.836086 | + | 0.548598i | \(0.815162\pi\) | |||||||
\(522\) | −0.769416 | − | 2.22308i | −0.0336764 | − | 0.0973016i | ||||
\(523\) | −19.2889 | + | 1.84187i | −0.843446 | + | 0.0805393i | −0.507827 | − | 0.861459i | \(-0.669551\pi\) |
−0.335618 | + | 0.941998i | \(0.608945\pi\) | |||||||
\(524\) | 19.5550 | + | 5.74187i | 0.854265 | + | 0.250835i | ||||
\(525\) | −0.325010 | − | 0.208216i | −0.0141846 | − | 0.00908728i | ||||
\(526\) | −0.173859 | − | 1.20922i | −0.00758062 | − | 0.0527243i | ||||
\(527\) | −0.911659 | + | 19.1381i | −0.0397125 | + | 0.833668i | ||||
\(528\) | 2.52495 | − | 4.37334i | 0.109884 | − | 0.190325i | ||||
\(529\) | −13.8572 | − | 18.3570i | −0.602486 | − | 0.798130i | ||||
\(530\) | 10.2175 | + | 17.6973i | 0.443822 | + | 0.768722i | ||||
\(531\) | −3.78353 | − | 2.43153i | −0.164191 | − | 0.105519i | ||||
\(532\) | 7.66438 | − | 1.48855i | 0.332293 | − | 0.0645366i | ||||
\(533\) | −17.1388 | − | 37.5288i | −0.742365 | − | 1.62555i | ||||
\(534\) | −1.17596 | − | 4.84736i | −0.0508887 | − | 0.209766i | ||||
\(535\) | −1.20704 | − | 1.69505i | −0.0521850 | − | 0.0732836i | ||||
\(536\) | −0.648473 | − | 1.87364i | −0.0280098 | − | 0.0809289i | ||||
\(537\) | 3.75393 | − | 1.50285i | 0.161994 | − | 0.0648526i | ||||
\(538\) | 15.5446 | − | 4.56429i | 0.670174 | − | 0.196781i | ||||
\(539\) | −33.8888 | + | 10.0559i | −1.45969 | + | 0.433138i | ||||
\(540\) | −1.90835 | + | 1.22642i | −0.0821221 | + | 0.0527767i | ||||
\(541\) | −34.3293 | − | 17.6980i | −1.47593 | − | 0.760897i | −0.482564 | − | 0.875861i | \(-0.660294\pi\) |
−0.993370 | + | 0.114964i | \(0.963325\pi\) | |||||||
\(542\) | −14.2455 | + | 2.74560i | −0.611897 | + | 0.117934i | ||||
\(543\) | −2.72759 | + | 11.2433i | −0.117052 | + | 0.482496i | ||||
\(544\) | 4.53370 | − | 1.81502i | 0.194381 | − | 0.0778183i | ||||
\(545\) | −0.772816 | + | 0.891877i | −0.0331038 | + | 0.0382038i | ||||
\(546\) | 10.0078 | + | 3.98994i | 0.428294 | + | 0.170754i | ||||
\(547\) | 2.29172 | + | 0.672910i | 0.0979869 | + | 0.0287715i | 0.330358 | − | 0.943856i | \(-0.392830\pi\) |
−0.232372 | + | 0.972627i | \(0.574649\pi\) | |||||||
\(548\) | 3.44020 | − | 4.83108i | 0.146958 | − | 0.206373i | ||||
\(549\) | 0.817022 | + | 0.327086i | 0.0348697 | + | 0.0139597i | ||||
\(550\) | 0.654827 | − | 0.337587i | 0.0279219 | − | 0.0143948i | ||||
\(551\) | 3.47105 | + | 6.01204i | 0.147872 | + | 0.256121i | ||||
\(552\) | −2.64868 | − | 3.99806i | −0.112735 | − | 0.170169i | ||||
\(553\) | 13.9685 | − | 9.00523i | 0.594001 | − | 0.382941i | ||||
\(554\) | −1.48299 | − | 0.953061i | −0.0630063 | − | 0.0404917i | ||||
\(555\) | −16.9409 | + | 13.3224i | −0.719100 | + | 0.565506i | ||||
\(556\) | −4.72262 | − | 0.450956i | −0.200284 | − | 0.0191248i | ||||
\(557\) | 1.29696 | − | 1.23665i | 0.0549539 | − | 0.0523985i | −0.662105 | − | 0.749411i | \(-0.730337\pi\) |
0.717058 | + | 0.697013i | \(0.245488\pi\) | |||||||
\(558\) | 3.90560 | − | 0.372939i | 0.165337 | − | 0.0157878i | ||||
\(559\) | −25.6553 | + | 29.6078i | −1.08510 | + | 1.25228i | ||||
\(560\) | 3.47438 | − | 4.89386i | 0.146819 | − | 0.206803i | ||||
\(561\) | −23.6623 | + | 6.94787i | −0.999023 | + | 0.293340i | ||||
\(562\) | 1.10769 | − | 3.20046i | 0.0467250 | − | 0.135003i | ||||
\(563\) | 1.40138 | + | 29.4185i | 0.0590610 | + | 1.23984i | 0.812751 | + | 0.582612i | \(0.197969\pi\) |
−0.753690 | + | 0.657230i | \(0.771728\pi\) | |||||||
\(564\) | −0.511768 | − | 10.7433i | −0.0215493 | − | 0.452376i | ||||
\(565\) | −5.45201 | + | 15.7526i | −0.229368 | + | 0.662715i | ||||
\(566\) | −14.7832 | + | 4.34075i | −0.621385 | + | 0.182455i | ||||
\(567\) | 1.53161 | − | 2.15736i | 0.0643214 | − | 0.0906004i | ||||
\(568\) | −7.90897 | + | 9.12743i | −0.331853 | + | 0.382979i | ||||
\(569\) | 8.27899 | − | 0.790548i | 0.347073 | − | 0.0331415i | 0.0799361 | − | 0.996800i | \(-0.474528\pi\) |
0.267137 | + | 0.963659i | \(0.413922\pi\) | |||||||
\(570\) | 4.84482 | − | 4.61952i | 0.202927 | − | 0.193490i | ||||
\(571\) | 35.7360 | + | 3.41237i | 1.49550 | + | 0.142803i | 0.810501 | − | 0.585738i | \(-0.199195\pi\) |
0.685002 | + | 0.728541i | \(0.259801\pi\) | |||||||
\(572\) | −16.1643 | + | 12.7117i | −0.675862 | + | 0.531503i | ||||
\(573\) | −0.788686 | − | 0.506858i | −0.0329478 | − | 0.0211743i | ||||
\(574\) | 22.5296 | − | 14.5244i | 0.940369 | − | 0.606238i | ||||
\(575\) | −0.00972968 | − | 0.699592i | −0.000405756 | − | 0.0291750i | ||||
\(576\) | −0.500000 | − | 0.866025i | −0.0208333 | − | 0.0360844i | ||||
\(577\) | −22.4734 | + | 11.5859i | −0.935582 | + | 0.482326i | −0.857421 | − | 0.514615i | \(-0.827935\pi\) |
−0.0781602 | + | 0.996941i | \(0.524905\pi\) | |||||||
\(578\) | −6.35810 | − | 2.54540i | −0.264462 | − | 0.105875i | ||||
\(579\) | 6.56548 | − | 9.21993i | 0.272852 | − | 0.383167i | ||||
\(580\) | 5.12030 | + | 1.50345i | 0.212609 | + | 0.0624276i | ||||
\(581\) | 8.48541 | + | 3.38299i | 0.352034 | + | 0.140350i | ||||
\(582\) | −4.08703 | + | 4.71668i | −0.169413 | + | 0.195513i | ||||
\(583\) | 42.2327 | − | 16.9074i | 1.74910 | − | 0.700234i | ||||
\(584\) | 2.03733 | − | 8.39798i | 0.0843053 | − | 0.347511i | ||||
\(585\) | 9.07050 | − | 1.74820i | 0.375019 | − | 0.0722790i | ||||
\(586\) | −7.73640 | − | 3.98839i | −0.319588 | − | 0.164759i | ||||
\(587\) | 13.9314 | − | 8.95320i | 0.575012 | − | 0.369538i | −0.220581 | − | 0.975369i | \(-0.570795\pi\) |
0.795594 | + | 0.605831i | \(0.207159\pi\) | |||||||
\(588\) | −1.63087 | + | 6.80737i | −0.0672561 | + | 0.280731i | ||||
\(589\) | −11.1088 | + | 3.26185i | −0.457731 | + | 0.134402i | ||||
\(590\) | 9.47154 | − | 3.79183i | 0.389937 | − | 0.156107i | ||||
\(591\) | 0.834188 | + | 2.41023i | 0.0343139 | + | 0.0991435i | ||||
\(592\) | −5.51092 | − | 7.73901i | −0.226497 | − | 0.318071i | ||||
\(593\) | −2.63987 | − | 10.8817i | −0.108407 | − | 0.446858i | 0.891575 | − | 0.452872i | \(-0.149601\pi\) |
−0.999982 | + | 0.00601445i | \(0.998086\pi\) | |||||||
\(594\) | 2.09780 | + | 4.59355i | 0.0860739 | + | 0.188476i | ||||
\(595\) | −28.7721 | + | 5.58800i | −1.17954 | + | 0.229086i | ||||
\(596\) | −3.93700 | − | 2.53016i | −0.161266 | − | 0.103639i | ||||
\(597\) | −9.73454 | − | 16.8607i | −0.398408 | − | 0.690063i | ||||
\(598\) | 3.96225 | + | 19.1231i | 0.162028 | + | 0.782000i | ||||
\(599\) | −20.5419 | + | 35.5795i | −0.839318 | + | 1.45374i | 0.0511486 | + | 0.998691i | \(0.483712\pi\) |
−0.890466 | + | 0.455050i | \(0.849622\pi\) | |||||||
\(600\) | 0.00694168 | − | 0.145724i | 0.000283393 | − | 0.00594915i | ||||
\(601\) | 3.37122 | + | 23.4473i | 0.137515 | + | 0.956437i | 0.935391 | + | 0.353615i | \(0.115048\pi\) |
−0.797876 | + | 0.602821i | \(0.794043\pi\) | |||||||
\(602\) | −21.4329 | − | 13.7309i | −0.873539 | − | 0.559628i | ||||
\(603\) | 1.90237 | + | 0.558587i | 0.0774707 | + | 0.0227474i | ||||
\(604\) | 16.2702 | − | 1.55361i | 0.662023 | − | 0.0632156i | ||||
\(605\) | −10.7592 | − | 31.0867i | −0.437424 | − | 1.26385i | ||||
\(606\) | −10.0883 | − | 7.93351i | −0.409808 | − | 0.322277i | ||||
\(607\) | 1.93667 | + | 1.84661i | 0.0786068 | + | 0.0749515i | 0.728364 | − | 0.685190i | \(-0.240281\pi\) |
−0.649757 | + | 0.760142i | \(0.725129\pi\) | |||||||
\(608\) | 1.93249 | + | 2.23021i | 0.0783728 | + | 0.0904470i | ||||
\(609\) | −6.19500 | + | 0.600481i | −0.251034 | + | 0.0243327i | ||||
\(610\) | −1.67946 | + | 1.07933i | −0.0679995 | + | 0.0437006i | ||||
\(611\) | −14.3249 | + | 41.3889i | −0.579522 | + | 1.67442i | ||||
\(612\) | −1.15133 | + | 4.74585i | −0.0465398 | + | 0.191840i | ||||
\(613\) | −22.8597 | − | 17.9771i | −0.923294 | − | 0.726087i | 0.0386727 | − | 0.999252i | \(-0.487687\pi\) |
−0.961967 | + | 0.273165i | \(0.911929\pi\) | |||||||
\(614\) | 27.8649 | + | 5.37053i | 1.12454 | + | 0.216737i | ||||
\(615\) | 9.54750 | − | 20.9061i | 0.384993 | − | 0.843016i | ||||
\(616\) | −9.68281 | − | 9.20617i | −0.390131 | − | 0.370927i | ||||
\(617\) | −13.6565 | − | 29.9036i | −0.549790 | − | 1.20387i | −0.956880 | − | 0.290484i | \(-0.906184\pi\) |
0.407090 | − | 0.913388i | \(-0.366544\pi\) | |||||||
\(618\) | −0.0770304 | + | 0.0605774i | −0.00309862 | + | 0.00243678i | ||||
\(619\) | 10.9991 | − | 5.67045i | 0.442093 | − | 0.227915i | −0.222784 | − | 0.974868i | \(-0.571514\pi\) |
0.664877 | + | 0.746953i | \(0.268484\pi\) | |||||||
\(620\) | −4.44998 | + | 7.70760i | −0.178716 | + | 0.309545i | ||||
\(621\) | 4.79311 | + | 0.161556i | 0.192341 | + | 0.00648302i | ||||
\(622\) | 29.6231 | 1.18778 | ||||||||
\(623\) | −13.1969 | + | 0.0188495i | −0.528723 | + | 0.000755191i | ||||
\(624\) | 0.579524 | + | 4.03068i | 0.0231995 | + | 0.161356i | ||||
\(625\) | −14.9122 | + | 20.9413i | −0.596488 | + | 0.837650i | ||||
\(626\) | −1.84957 | + | 1.76356i | −0.0739237 | + | 0.0704861i | ||||
\(627\) | −8.64413 | − | 12.1390i | −0.345213 | − | 0.484784i | ||||
\(628\) | −9.46877 | − | 1.82496i | −0.377845 | − | 0.0728237i | ||||
\(629\) | −6.60292 | + | 45.9243i | −0.263276 | + | 1.83112i | ||||
\(630\) | 1.97109 | + | 5.66887i | 0.0785299 | + | 0.225853i | ||||
\(631\) | −21.0492 | − | 24.2921i | −0.837955 | − | 0.967052i | 0.161849 | − | 0.986815i | \(-0.448254\pi\) |
−0.999805 | + | 0.0197634i | \(0.993709\pi\) | |||||||
\(632\) | 5.58335 | + | 2.87841i | 0.222094 | + | 0.114497i | ||||
\(633\) | 0.475752 | + | 9.98726i | 0.0189094 | + | 0.396958i | ||||
\(634\) | −24.8993 | + | 4.79894i | −0.988877 | + | 0.190590i | ||||
\(635\) | −33.5962 | − | 32.0339i | −1.33323 | − | 1.27123i | ||||
\(636\) | 1.28202 | − | 8.91668i | 0.0508356 | − | 0.353569i | ||||
\(637\) | 16.4681 | − | 23.2665i | 0.652488 | − | 0.921853i | ||||
\(638\) | 4.93501 | − | 10.8062i | 0.195379 | − | 0.427820i | ||||
\(639\) | −2.84734 | − | 11.7369i | −0.112639 | − | 0.464304i | ||||
\(640\) | 2.25818 | + | 0.215630i | 0.0892625 | + | 0.00852354i | ||||
\(641\) | 7.88560 | + | 3.15692i | 0.311463 | + | 0.124691i | 0.522127 | − | 0.852868i | \(-0.325139\pi\) |
−0.210665 | + | 0.977558i | \(0.567563\pi\) | |||||||
\(642\) | −0.0436479 | + | 0.916283i | −0.00172265 | + | 0.0361628i | ||||
\(643\) | −18.0083 | −0.710179 | −0.355089 | − | 0.934832i | \(-0.615550\pi\) | ||||
−0.355089 | + | 0.934832i | \(0.615550\pi\) | |||||||
\(644\) | −11.9257 | + | 4.33341i | −0.469937 | + | 0.170760i | ||||
\(645\) | −21.8241 | −0.859324 | ||||||||
\(646\) | 0.685713 | − | 14.3949i | 0.0269790 | − | 0.566359i | ||||
\(647\) | −12.1763 | − | 4.87464i | −0.478698 | − | 0.191642i | 0.119749 | − | 0.992804i | \(-0.461791\pi\) |
−0.598447 | + | 0.801162i | \(0.704215\pi\) | |||||||
\(648\) | 0.995472 | + | 0.0950560i | 0.0391058 | + | 0.00373415i | ||||
\(649\) | −5.35453 | − | 22.0717i | −0.210184 | − | 0.866389i | ||||
\(650\) | −0.246789 | + | 0.540393i | −0.00967987 | + | 0.0211959i | ||||
\(651\) | 1.46258 | − | 10.2767i | 0.0573232 | − | 0.402775i | ||||
\(652\) | 2.14336 | − | 14.9074i | 0.0839406 | − | 0.583820i | ||||
\(653\) | 28.1904 | + | 26.8795i | 1.10318 | + | 1.05188i | 0.998352 | + | 0.0573847i | \(0.0182762\pi\) |
0.104823 | + | 0.994491i | \(0.466572\pi\) | |||||||
\(654\) | 0.510830 | − | 0.0984545i | 0.0199751 | − | 0.00384988i | ||||
\(655\) | −2.19983 | − | 46.1801i | −0.0859544 | − | 1.80440i | ||||
\(656\) | 9.00531 | + | 4.64256i | 0.351598 | + | 0.181262i | ||||
\(657\) | 5.65903 | + | 6.53087i | 0.220780 | + | 0.254793i | ||||
\(658\) | −27.9498 | − | 5.34549i | −1.08960 | − | 0.208389i | ||||
\(659\) | −7.00862 | + | 48.7460i | −0.273017 | + | 1.89888i | 0.143337 | + | 0.989674i | \(0.454217\pi\) |
−0.416354 | + | 0.909203i | \(0.636692\pi\) | |||||||
\(660\) | −11.2485 | − | 2.16796i | −0.437846 | − | 0.0843878i | ||||
\(661\) | 4.01871 | + | 5.64349i | 0.156310 | + | 0.219506i | 0.885303 | − | 0.465015i | \(-0.153951\pi\) |
−0.728993 | + | 0.684521i | \(0.760012\pi\) | |||||||
\(662\) | 10.9824 | − | 10.4717i | 0.426843 | − | 0.406994i | ||||
\(663\) | 11.5352 | − | 16.1989i | 0.447989 | − | 0.629112i | ||||
\(664\) | 0.491367 | + | 3.41753i | 0.0190687 | + | 0.132626i | ||||
\(665\) | −8.87748 | − | 15.3257i | −0.344254 | − | 0.594304i | ||||
\(666\) | 9.50066 | 0.368143 | ||||||||
\(667\) | −7.09674 | − | 8.77043i | −0.274787 | − | 0.339592i | ||||
\(668\) | 11.6259 | − | 20.1367i | 0.449820 | − | 0.779111i | ||||
\(669\) | 21.1477 | − | 10.9024i | 0.817617 | − | 0.421511i | ||||
\(670\) | −3.53538 | + | 2.78025i | −0.136584 | + | 0.107411i | ||||
\(671\) | 1.84620 | + | 4.04261i | 0.0712717 | + | 0.156063i | ||||
\(672\) | −2.53751 | + | 0.749019i | −0.0978867 | + | 0.0288941i | ||||
\(673\) | −16.3087 | + | 35.7111i | −0.628655 | + | 1.37656i | 0.280399 | + | 0.959884i | \(0.409533\pi\) |
−0.909054 | + | 0.416679i | \(0.863194\pi\) | |||||||
\(674\) | 25.4991 | + | 4.91455i | 0.982190 | + | 0.189302i | ||||
\(675\) | 0.114677 | + | 0.0901826i | 0.00441390 | + | 0.00347113i | ||||
\(676\) | 0.844538 | − | 3.48123i | 0.0324822 | − | 0.133894i | ||||
\(677\) | −3.93789 | + | 11.3778i | −0.151345 | + | 0.437284i | −0.995032 | − | 0.0995517i | \(-0.968259\pi\) |
0.843687 | + | 0.536835i | \(0.180380\pi\) | |||||||
\(678\) | 6.18181 | − | 3.97281i | 0.237411 | − | 0.152575i | ||||
\(679\) | 9.59727 | + | 13.4368i | 0.368309 | + | 0.515658i | ||||
\(680\) | −7.25457 | − | 8.37222i | −0.278200 | − | 0.321060i | ||||
\(681\) | −3.27552 | − | 3.12320i | −0.125518 | − | 0.119681i | ||||
\(682\) | 15.5737 | + | 12.2473i | 0.596349 | + | 0.468974i | ||||
\(683\) | 15.4305 | + | 44.5836i | 0.590432 | + | 1.70594i | 0.701992 | + | 0.712185i | \(0.252294\pi\) |
−0.111560 | + | 0.993758i | \(0.535585\pi\) | |||||||
\(684\) | −2.93763 | + | 0.280510i | −0.112323 | + | 0.0107256i | ||||
\(685\) | −12.9088 | − | 3.79035i | −0.493218 | − | 0.144822i | ||||
\(686\) | 16.4977 | + | 8.41586i | 0.629884 | + | 0.321319i | ||||
\(687\) | 2.05882 | + | 14.3194i | 0.0785488 | + | 0.546319i | ||||
\(688\) | 0.457771 | − | 9.60981i | 0.0174524 | − | 0.366370i | ||||
\(689\) | −18.3416 | + | 31.7686i | −0.698760 | + | 1.21029i | ||||
\(690\) | −6.60546 | + | 8.64427i | −0.251466 | + | 0.329082i | ||||
\(691\) | −2.08977 | − | 3.61960i | −0.0794988 | − | 0.137696i | 0.823535 | − | 0.567265i | \(-0.191999\pi\) |
−0.903034 | + | 0.429570i | \(0.858665\pi\) | |||||||
\(692\) | −3.06502 | − | 1.96977i | −0.116515 | − | 0.0748794i | ||||
\(693\) | 13.1157 | − | 2.54728i | 0.498224 | − | 0.0967632i | ||||
\(694\) | 8.29642 | + | 18.1666i | 0.314928 | + | 0.689596i | ||||
\(695\) | 2.53719 | + | 10.4584i | 0.0962410 | + | 0.396711i | ||||
\(696\) | −1.36456 | − | 1.91626i | −0.0517236 | − | 0.0726357i | ||||
\(697\) | −16.1826 | − | 46.7565i | −0.612959 | − | 1.77103i | ||||
\(698\) | 22.8901 | − | 9.16382i | 0.866403 | − | 0.346856i | ||||
\(699\) | 28.6025 | − | 8.39845i | 1.08185 | − | 0.317659i | ||||
\(700\) | −0.370506 | − | 0.108216i | −0.0140038 | − | 0.00409017i | ||||
\(701\) | −6.04538 | + | 3.88513i | −0.228331 | + | 0.146739i | −0.649805 | − | 0.760101i | \(-0.725149\pi\) |
0.421474 | + | 0.906841i | \(0.361513\pi\) | |||||||
\(702\) | −3.61945 | − | 1.86596i | −0.136607 | − | 0.0704260i | ||||
\(703\) | −27.5297 | + | 5.30592i | −1.03830 | + | 0.200116i | ||||
\(704\) | 1.19056 | − | 4.90755i | 0.0448709 | − | 0.184960i | ||||
\(705\) | −22.6507 | + | 9.06797i | −0.853074 | + | 0.341519i | ||||
\(706\) | −11.8431 | + | 13.6677i | −0.445722 | + | 0.514391i | ||||
\(707\) | −26.6611 | + | 21.0282i | −1.00269 | + | 0.790847i | ||||
\(708\) | −4.31531 | − | 1.26709i | −0.162179 | − | 0.0476201i | ||||
\(709\) | 9.14658 | − | 12.8446i | 0.343507 | − | 0.482388i | −0.606295 | − | 0.795240i | \(-0.707345\pi\) |
0.949802 | + | 0.312852i | \(0.101284\pi\) | |||||||
\(710\) | 25.4344 | + | 10.1824i | 0.954535 | + | 0.382138i | ||||
\(711\) | −5.58335 | + | 2.87841i | −0.209392 | + | 0.107949i | ||||
\(712\) | −2.49398 | − | 4.31970i | −0.0934659 | − | 0.161888i | ||||
\(713\) | 17.0051 | − | 8.05361i | 0.636845 | − | 0.301610i | ||||
\(714\) | 11.4927 | + | 5.90413i | 0.430103 | + | 0.220957i | ||||
\(715\) | 39.2429 | + | 25.2199i | 1.46760 | + | 0.943170i | ||||
\(716\) | 3.17846 | − | 2.49957i | 0.118785 | − | 0.0934134i | ||||
\(717\) | −12.6552 | − | 1.20842i | −0.472617 | − | 0.0451294i | ||||
\(718\) | −25.5886 | + | 24.3987i | −0.954959 | + | 0.910552i | ||||
\(719\) | 27.6532 | − | 2.64056i | 1.03129 | − | 0.0984762i | 0.434335 | − | 0.900751i | \(-0.356983\pi\) |
0.596954 | + | 0.802275i | \(0.296377\pi\) | |||||||
\(720\) | −1.48552 | + | 1.71438i | −0.0553621 | + | 0.0638913i | ||||
\(721\) | 0.108043 | + | 0.235690i | 0.00402374 | + | 0.00877755i | ||||
\(722\) | −9.87476 | + | 2.89949i | −0.367501 | + | 0.107908i | ||||
\(723\) | 0.325560 | − | 0.940643i | 0.0121077 | − | 0.0349829i | ||||
\(724\) | 0.550495 | + | 11.5563i | 0.0204590 | + | 0.429487i | ||||
\(725\) | −0.0163301 | − | 0.342810i | −0.000606483 | − | 0.0127316i | ||||
\(726\) | −4.74297 | + | 13.7039i | −0.176028 | + | 0.508600i | ||||
\(727\) | 10.1833 | − | 2.99009i | 0.377679 | − | 0.110896i | −0.0873829 | − | 0.996175i | \(-0.527850\pi\) |
0.465062 | + | 0.885278i | \(0.346032\pi\) | |||||||
\(728\) | 10.7265 | + | 1.00880i | 0.397551 | + | 0.0373885i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −19.5143 | + | 1.86339i | −0.722255 | + | 0.0689670i | ||||
\(731\) | −34.0031 | + | 32.4219i | −1.25765 | + | 1.19917i | ||||
\(732\) | 0.876078 | + | 0.0836553i | 0.0323808 | + | 0.00309199i | ||||
\(733\) | 3.44355 | − | 2.70804i | 0.127190 | − | 0.100024i | −0.552537 | − | 0.833488i | \(-0.686340\pi\) |
0.679728 | + | 0.733464i | \(0.262098\pi\) | |||||||
\(734\) | 23.5467 | + | 15.1326i | 0.869126 | + | 0.558553i | ||||
\(735\) | 15.8029 | − | 1.55456i | 0.582899 | − | 0.0573409i | ||||
\(736\) | −3.66777 | − | 3.08990i | −0.135196 | − | 0.113895i | ||||
\(737\) | 5.00618 | + | 8.67096i | 0.184405 | + | 0.319399i | ||||
\(738\) | −9.00531 | + | 4.64256i | −0.331490 | + | 0.170895i | ||||
\(739\) | 10.7482 | + | 4.30292i | 0.395378 | + | 0.158285i | 0.560827 | − | 0.827933i | \(-0.310483\pi\) |
−0.165449 | + | 0.986218i | \(0.552907\pi\) | |||||||
\(740\) | −12.5013 | + | 17.5556i | −0.459556 | + | 0.645356i | ||||
\(741\) | 11.5300 | + | 3.38553i | 0.423567 | + | 0.124370i | ||||
\(742\) | −22.1393 | − | 8.82656i | −0.812758 | − | 0.324033i | ||||
\(743\) | 32.6410 | − | 37.6698i | 1.19748 | − | 1.38197i | 0.292642 | − | 0.956222i | \(-0.405466\pi\) |
0.904842 | − | 0.425748i | \(-0.139989\pi\) | |||||||
\(744\) | 3.64232 | − | 1.45817i | 0.133534 | − | 0.0534590i | ||||
\(745\) | −2.50286 | + | 10.3169i | −0.0916978 | + | 0.377984i | ||||
\(746\) | −4.59503 | + | 0.885619i | −0.168236 | + | 0.0324248i | ||||
\(747\) | −3.06886 | − | 1.58211i | −0.112284 | − | 0.0578863i | ||||
\(748\) | −20.7464 | + | 13.3329i | −0.758562 | + | 0.487498i | ||||
\(749\) | 2.32967 | + | 0.680440i | 0.0851243 | + | 0.0248627i | ||||
\(750\) | 10.5653 | − | 3.10225i | 0.385790 | − | 0.113278i | ||||
\(751\) | −12.3508 | + | 4.94452i | −0.450687 | + | 0.180428i | −0.585891 | − | 0.810390i | \(-0.699255\pi\) |
0.135204 | + | 0.990818i | \(0.456831\pi\) | |||||||
\(752\) | −3.51778 | − | 10.1640i | −0.128280 | − | 0.370642i | ||||
\(753\) | 14.7132 | + | 20.6618i | 0.536178 | + | 0.752956i | ||||
\(754\) | 2.25846 | + | 9.30950i | 0.0822483 | + | 0.339032i | ||||
\(755\) | −15.4019 | − | 33.7255i | −0.560534 | − | 1.22740i | ||||
\(756\) | 0.861768 | − | 2.50147i | 0.0313422 | − | 0.0909776i | ||||
\(757\) | −43.7700 | − | 28.1293i | −1.59085 | − | 1.02238i | −0.971433 | − | 0.237313i | \(-0.923733\pi\) |
−0.619415 | − | 0.785063i | \(-0.712630\pi\) | |||||||
\(758\) | −5.49037 | − | 9.50960i | −0.199419 | − | 0.345404i | ||||
\(759\) | 16.9548 | + | 17.2936i | 0.615420 | + | 0.627719i | ||||
\(760\) | 3.34710 | − | 5.79734i | 0.121412 | − | 0.210292i | ||||
\(761\) | −1.15089 | + | 24.1601i | −0.0417196 | + | 0.875801i | 0.876904 | + | 0.480666i | \(0.159605\pi\) |
−0.918623 | + | 0.395135i | \(0.870698\pi\) | |||||||
\(762\) | 2.91227 | + | 20.2553i | 0.105500 | + | 0.733771i | ||||
\(763\) | 0.0635281 | − | 1.37494i | 0.00229987 | − | 0.0497761i | ||||
\(764\) | −0.899537 | − | 0.264128i | −0.0325441 | − | 0.00955582i | ||||
\(765\) | 11.0279 | − | 1.05303i | 0.398713 | − | 0.0380725i | ||||
\(766\) | 11.3693 | + | 32.8495i | 0.410790 | + | 1.18690i | ||||
\(767\) | 14.3961 | + | 11.3212i | 0.519811 | + | 0.408784i | ||||
\(768\) | −0.723734 | − | 0.690079i | −0.0261155 | − | 0.0249011i | ||||
\(769\) | −9.97005 | − | 11.5061i | −0.359529 | − | 0.414919i | 0.546953 | − | 0.837164i | \(-0.315788\pi\) |
−0.906482 | + | 0.422245i | \(0.861242\pi\) | |||||||
\(770\) | −12.5511 | + | 27.5874i | −0.452312 | + | 0.994180i | ||||
\(771\) | 14.9090 | − | 9.58144i | 0.536935 | − | 0.345067i | ||||
\(772\) | 3.70198 | − | 10.6962i | 0.133237 | − | 0.384963i | ||||
\(773\) | 3.36646 | − | 13.8767i | 0.121083 | − | 0.499112i | −0.878681 | − | 0.477409i | \(-0.841576\pi\) |
0.999764 | − | 0.0217028i | \(-0.00690877\pi\) | |||||||
\(774\) | 7.56238 | + | 5.94712i | 0.271824 | + | 0.213765i | ||||
\(775\) | 0.562032 | + | 0.108323i | 0.0201888 | + | 0.00389107i | ||||
\(776\) | −2.59263 | + | 5.67707i | −0.0930700 | + | 0.203795i | ||||
\(777\) | 5.89123 | − | 24.4363i | 0.211347 | − | 0.876646i | ||||
\(778\) | −8.81605 | − | 19.3045i | −0.316071 | − | 0.692098i | ||||
\(779\) | 23.5016 | − | 18.4819i | 0.842032 | − | 0.662181i | ||||
\(780\) | 8.21056 | − | 4.23284i | 0.293985 | − | 0.151560i | ||||
\(781\) | 30.4946 | − | 52.8183i | 1.09118 | − | 1.88999i | ||||
\(782\) | 2.55026 | + | 23.2812i | 0.0911972 | + | 0.832535i | ||||
\(783\) | 2.35246 | 0.0840702 | ||||||||
\(784\) | 0.353046 | + | 6.99109i | 0.0126088 | + | 0.249682i | ||||
\(785\) | 3.11311 | + | 21.6521i | 0.111112 | + | 0.772798i | ||||
\(786\) | −11.8219 | + | 16.6015i | −0.421673 | + | 0.592157i | ||||
\(787\) | −6.23471 | + | 5.94479i | −0.222243 | + | 0.211909i | −0.793018 | − | 0.609198i | \(-0.791491\pi\) |
0.570775 | + | 0.821107i | \(0.306643\pi\) | |||||||
\(788\) | 1.47944 | + | 2.07758i | 0.0527027 | + | 0.0740107i | ||||
\(789\) | 1.19957 | + | 0.231199i | 0.0427060 | + | 0.00823090i | ||||
\(790\) | 2.02793 | − | 14.1046i | 0.0721506 | − | 0.501819i | ||||
\(791\) | −6.38504 | − | 18.3635i | −0.227026 | − | 0.652930i | ||||
\(792\) | 3.30698 | + | 3.81646i | 0.117508 | + | 0.135612i | ||||
\(793\) | −3.18534 | − | 1.64216i | −0.113115 | − | 0.0583148i | ||||
\(794\) | −1.12927 | − | 23.7062i | −0.0400761 | − | 0.841302i | ||||
\(795\) | −20.0658 | + | 3.86737i | −0.711660 | + | 0.137161i | ||||
\(796\) | −14.0904 | − | 13.4352i | −0.499422 | − | 0.476198i | ||||
\(797\) | 1.15899 | − | 8.06098i | 0.0410537 | − | 0.285535i | −0.958944 | − | 0.283594i | \(-0.908473\pi\) |
0.999998 | − | 0.00194055i | \(-0.000617698\pi\) | |||||||
\(798\) | −1.10010 | + | 7.72970i | −0.0389430 | + | 0.273628i | ||||
\(799\) | −21.8195 | + | 47.7781i | −0.771920 | + | 1.69027i | ||||
\(800\) | −0.0343946 | − | 0.141777i | −0.00121603 | − | 0.00501256i | ||||
\(801\) | 4.96538 | + | 0.474136i | 0.175443 | + | 0.0167528i | ||||
\(802\) | 16.8387 | + | 6.74120i | 0.594595 | + | 0.238040i | ||||
\(803\) | −2.07643 | + | 43.5897i | −0.0732757 | + | 1.53825i | ||||
\(804\) | 1.98269 | 0.0699240 | ||||||||
\(805\) | 18.1376 | + | 22.3498i | 0.639267 | + | 0.787728i | ||||
\(806\) | −15.9764 | −0.562745 | ||||||||
\(807\) | −0.770865 | + | 16.1825i | −0.0271357 | + | 0.569649i | ||||
\(808\) | −11.9148 | − | 4.76995i | −0.419160 | − | 0.167806i | ||||
\(809\) | 30.3884 | + | 2.90174i | 1.06840 | + | 0.102020i | 0.614410 | − | 0.788987i | \(-0.289394\pi\) |
0.453990 | + | 0.891007i | \(0.350000\pi\) | |||||||
\(810\) | −0.534809 | − | 2.20451i | −0.0187913 | − | 0.0774586i | ||||
\(811\) | −7.07331 | + | 15.4884i | −0.248378 | + | 0.543871i | −0.992222 | − | 0.124482i | \(-0.960273\pi\) |
0.743844 | + | 0.668353i | \(0.233000\pi\) | |||||||
\(812\) | −5.77489 | + | 2.32149i | −0.202659 | + | 0.0814684i | ||||
\(813\) | 2.06466 | − | 14.3600i | 0.0724108 | − | 0.503628i | ||||
\(814\) | 34.7228 | + | 33.1082i | 1.21704 | + | 1.16044i | ||||
\(815\) | −33.5472 | + | 6.46569i | −1.17511 | + | 0.226483i | ||||
\(816\) | 0.232367 | + | 4.87798i | 0.00813447 | + | 0.170763i | ||||
\(817\) | −25.2346 | − | 13.0093i | −0.882847 | − | 0.455139i | ||||
\(818\) | 20.7366 | + | 23.9313i | 0.725037 | + | 0.836737i | ||||
\(819\) | −7.04372 | + | 8.15239i | −0.246128 | + | 0.284867i | ||||
\(820\) | 3.27083 | − | 22.7491i | 0.114222 | − | 0.794434i | ||||
\(821\) | −22.0781 | − | 4.25520i | −0.770530 | − | 0.148507i | −0.211189 | − | 0.977445i | \(-0.567734\pi\) |
−0.559341 | + | 0.828938i | \(0.688946\pi\) | |||||||
\(822\) | 3.44020 | + | 4.83108i | 0.119991 | + | 0.168503i | ||||
\(823\) | 19.6457 | − | 18.7322i | 0.684807 | − | 0.652963i | −0.265559 | − | 0.964095i | \(-0.585557\pi\) |
0.950367 | + | 0.311132i | \(0.100708\pi\) | |||||||
\(824\) | −0.0568435 | + | 0.0798255i | −0.00198024 | + | 0.00278085i | ||||
\(825\) | 0.104847 | + | 0.729226i | 0.00365030 | + | 0.0253884i | ||||
\(826\) | −5.93490 | + | 10.3135i | −0.206501 | + | 0.358854i | ||||
\(827\) | −9.46492 | −0.329127 | −0.164564 | − | 0.986366i | \(-0.552622\pi\) | ||||
−0.164564 | + | 0.986366i | \(0.552622\pi\) | |||||||
\(828\) | 4.64447 | − | 1.19536i | 0.161407 | − | 0.0415417i | ||||
\(829\) | −3.23867 | + | 5.60954i | −0.112484 | + | 0.194827i | −0.916771 | − | 0.399413i | \(-0.869214\pi\) |
0.804287 | + | 0.594241i | \(0.202547\pi\) | |||||||
\(830\) | 6.96157 | − | 3.58894i | 0.241640 | − | 0.124574i | ||||
\(831\) | 1.38568 | − | 1.08971i | 0.0480688 | − | 0.0378017i | ||||
\(832\) | 1.69162 | + | 3.70414i | 0.0586464 | + | 0.128418i | ||||
\(833\) | 22.3122 | − | 25.8988i | 0.773074 | − | 0.897341i | ||||
\(834\) | 1.97077 | − | 4.31539i | 0.0682423 | − | 0.149430i | ||||
\(835\) | −51.7925 | − | 9.98219i | −1.79235 | − | 0.345448i | ||||
\(836\) | −11.7139 | − | 9.21194i | −0.405135 | − | 0.318601i | ||||
\(837\) | −0.924967 | + | 3.81277i | −0.0319716 | + | 0.131789i | ||||
\(838\) | 9.94795 | − | 28.7427i | 0.343646 | − | 0.992900i | ||||
\(839\) | 6.35627 | − | 4.08493i | 0.219443 | − | 0.141027i | −0.426301 | − | 0.904581i | \(-0.640184\pi\) |
0.645744 | + | 0.763554i | \(0.276547\pi\) | |||||||
\(840\) | 3.48835 | + | 4.88392i | 0.120359 | + | 0.168511i | ||||
\(841\) | 15.3669 | + | 17.7344i | 0.529893 | + | 0.611529i | ||||
\(842\) | 16.8139 | + | 16.0320i | 0.579445 | + | 0.552499i | ||||
\(843\) | 2.66214 | + | 2.09353i | 0.0916891 | + | 0.0721051i | ||||
\(844\) | 3.27022 | + | 9.44867i | 0.112565 | + | 0.325237i | ||||
\(845\) | −8.08928 | + | 0.772433i | −0.278280 | + | 0.0265725i | ||||
\(846\) | 10.3198 | + | 3.03018i | 0.354803 | + | 0.104180i | ||||
\(847\) | 32.3062 | + | 20.6968i | 1.11006 | + | 0.711151i | ||||
\(848\) | −1.28202 | − | 8.91668i | −0.0440249 | − | 0.306200i | ||||
\(849\) | 0.733110 | − | 15.3899i | 0.0251603 | − | 0.528179i | ||||
\(850\) | −0.356225 | + | 0.617001i | −0.0122184 | + | 0.0211629i | ||||
\(851\) | 42.8462 | − | 15.4997i | 1.46875 | − | 0.531323i | ||||
\(852\) | −6.03866 | − | 10.4593i | −0.206881 | − | 0.358329i | ||||
\(853\) | 6.85819 | + | 4.40749i | 0.234820 | + | 0.150910i | 0.652759 | − | 0.757565i | \(-0.273611\pi\) |
−0.417939 | + | 0.908475i | \(0.637248\pi\) | |||||||
\(854\) | 0.758410 | − | 2.20145i | 0.0259523 | − | 0.0753321i | ||||
\(855\) | 2.78087 | + | 6.08925i | 0.0951037 | + | 0.208248i | ||||
\(856\) | 0.216267 | + | 0.891464i | 0.00739185 | + | 0.0304696i | ||||
\(857\) | −22.6347 | − | 31.7861i | −0.773188 | − | 1.08579i | −0.993882 | − | 0.110448i | \(-0.964771\pi\) |
0.220694 | − | 0.975343i | \(-0.429168\pi\) | |||||||
\(858\) | −6.72577 | − | 19.4328i | −0.229614 | − | 0.663426i | ||||
\(859\) | 13.2554 | − | 5.30666i | 0.452268 | − | 0.181061i | −0.134334 | − | 0.990936i | \(-0.542890\pi\) |
0.586602 | + | 0.809875i | \(0.300465\pi\) | |||||||
\(860\) | −20.9401 | + | 6.14857i | −0.714052 | + | 0.209664i | ||||
\(861\) | 6.35687 | + | 26.0410i | 0.216642 | + | 0.887475i | ||||
\(862\) | −7.49127 | + | 4.81435i | −0.255154 | + | 0.163977i | ||||
\(863\) | −30.2358 | − | 15.5877i | −1.02924 | − | 0.530610i | −0.141010 | − | 0.990008i | \(-0.545035\pi\) |
−0.888230 | + | 0.459398i | \(0.848065\pi\) | |||||||
\(864\) | 0.981929 | − | 0.189251i | 0.0334059 | − | 0.00643846i | ||||
\(865\) | −1.94852 | + | 8.03191i | −0.0662517 | + | 0.273093i | ||||
\(866\) | 18.1783 | − | 7.27748i | 0.617723 | − | 0.247299i | ||||
\(867\) | 4.48494 | − | 5.17589i | 0.152316 | − | 0.175783i | ||||
\(868\) | −1.49194 | − | 10.2725i | −0.0506396 | − | 0.348670i | ||||
\(869\) | −30.4367 | − | 8.93702i | −1.03249 | − | 0.303168i | ||||
\(870\) | −3.09545 | + | 4.34695i | −0.104946 | + | 0.147375i | ||||
\(871\) | −7.49541 | − | 3.00071i | −0.253972 | − | 0.101675i | ||||
\(872\) | 0.462400 | − | 0.238384i | 0.0156589 | − | 0.00807270i | ||||
\(873\) | −3.12053 | − | 5.40492i | −0.105614 | − | 0.182929i | ||||
\(874\) | −12.7905 | + | 6.05760i | −0.432646 | + | 0.204901i | ||||
\(875\) | −1.42778 | − | 29.0982i | −0.0482677 | − | 0.983700i | ||||
\(876\) | 7.26976 | + | 4.67199i | 0.245622 | + | 0.157852i | ||||
\(877\) | −30.0992 | + | 23.6703i | −1.01638 | + | 0.799289i | −0.979787 | − | 0.200041i | \(-0.935892\pi\) |
−0.0365913 | + | 0.999330i | \(0.511650\pi\) | |||||||
\(878\) | −16.4013 | − | 1.56614i | −0.553519 | − | 0.0528546i | ||||
\(879\) | 6.29936 | − | 6.00643i | 0.212472 | − | 0.202592i | ||||
\(880\) | −11.4036 | + | 1.08891i | −0.384415 | + | 0.0367072i | ||||
\(881\) | 12.2093 | − | 14.0903i | 0.411342 | − | 0.474714i | −0.511838 | − | 0.859082i | \(-0.671035\pi\) |
0.923180 | + | 0.384368i | \(0.125581\pi\) | |||||||
\(882\) | −5.89956 | − | 3.76765i | −0.198649 | − | 0.126863i | ||||
\(883\) | 1.18457 | − | 0.347821i | 0.0398639 | − | 0.0117051i | −0.261740 | − | 0.965138i | \(-0.584296\pi\) |
0.301604 | + | 0.953433i | \(0.402478\pi\) | |||||||
\(884\) | 6.50416 | − | 18.7925i | 0.218759 | − | 0.632062i | ||||
\(885\) | 0.485448 | + | 10.1908i | 0.0163181 | + | 0.342560i | ||||
\(886\) | −0.232035 | − | 4.87100i | −0.00779535 | − | 0.163645i | ||||
\(887\) | −18.6557 | + | 53.9020i | −0.626396 | + | 1.80985i | −0.0409211 | + | 0.999162i | \(0.513029\pi\) |
−0.585475 | + | 0.810690i | \(0.699092\pi\) | |||||||
\(888\) | 9.11581 | − | 2.67664i | 0.305907 | − | 0.0898223i | ||||
\(889\) | 53.9036 | + | 5.06949i | 1.80787 | + | 0.170025i | ||||
\(890\) | −7.40973 | + | 8.55129i | −0.248375 | + | 0.286640i | ||||
\(891\) | −5.02703 | + | 0.480023i | −0.168412 | + | 0.0160814i | ||||
\(892\) | 17.2195 | − | 16.4188i | 0.576552 | − | 0.549741i | ||||
\(893\) | −31.5957 | − | 3.01702i | −1.05731 | − | 0.100961i | ||||
\(894\) | 3.67867 | − | 2.89294i | 0.123033 | − | 0.0967543i | ||||
\(895\) | −7.71654 | − | 4.95912i | −0.257936 | − | 0.165765i | ||||
\(896\) | −2.22370 | + | 1.43358i | −0.0742887 | + | 0.0478925i | ||||
\(897\) | −19.3672 | − | 2.51022i | −0.646653 | − | 0.0838136i | ||||
\(898\) | −8.26501 | − | 14.3154i | −0.275807 | − | 0.477712i | ||||
\(899\) | 8.20357 | − | 4.22923i | 0.273604 | − | 0.141053i | ||||
\(900\) | 0.135439 | + | 0.0542215i | 0.00451462 | + | 0.00180738i | ||||
\(901\) | −25.5181 | + | 35.8352i | −0.850133 | + | 1.19384i | ||||
\(902\) | −49.0910 | − | 14.4144i | −1.63455 | − | 0.479948i | ||||
\(903\) | 19.9857 | − | 15.7632i | 0.665082 | − | 0.524566i | ||||
\(904\) | 4.81213 | − | 5.55350i | 0.160049 | − | 0.184707i | ||||
\(905\) | 24.3647 | − | 9.75417i | 0.809911 | − | 0.324240i | ||||
\(906\) | −3.85328 | + | 15.8834i | −0.128017 | + | 0.527692i | ||||
\(907\) | −55.8443 | + | 10.7631i | −1.85428 | + | 0.357383i | −0.989473 | − | 0.144721i | \(-0.953772\pi\) |
−0.864807 | + | 0.502104i | \(0.832559\pi\) | |||||||
\(908\) | −4.02274 | − | 2.07387i | −0.133499 | − | 0.0688238i | ||||
\(909\) | 10.7967 | − | 6.93864i | 0.358105 | − | 0.230140i | ||||
\(910\) | −5.79586 | − | 23.7428i | −0.192131 | − | 0.787065i | ||||
\(911\) | 17.1666 | − | 5.04058i | 0.568756 | − | 0.167002i | 0.0153041 | − | 0.999883i | \(-0.495128\pi\) |
0.553452 | + | 0.832881i | \(0.313310\pi\) | |||||||
\(912\) | −2.73961 | + | 1.09677i | −0.0907174 | + | 0.0363178i | ||||
\(913\) | −5.70265 | − | 16.4767i | −0.188730 | − | 0.545300i | ||||
\(914\) | 11.3762 | + | 15.9756i | 0.376290 | + | 0.528426i | ||||
\(915\) | −0.470665 | − | 1.94011i | −0.0155597 | − | 0.0641380i | ||||
\(916\) | 6.00966 | + | 13.1593i | 0.198565 | + | 0.434796i | ||||
\(917\) | 35.3695 | + | 40.7010i | 1.16801 | + | 1.34407i | ||||
\(918\) | −4.10827 | − | 2.64023i | −0.135593 | − | 0.0871404i | ||||
\(919\) | −28.6878 | − | 49.6887i | −0.946322 | − | 1.63908i | −0.753082 | − | 0.657926i | \(-0.771434\pi\) |
−0.193240 | − | 0.981152i | \(-0.561899\pi\) | |||||||
\(920\) | −3.90252 | + | 10.1551i | −0.128662 | + | 0.334803i | ||||
\(921\) | −14.1889 | + | 24.5759i | −0.467540 | + | 0.809802i | ||||
\(922\) | −0.171222 | + | 3.59438i | −0.00563888 | + | 0.118375i | ||||
\(923\) | 6.99910 | + | 48.6798i | 0.230378 | + | 1.60232i | ||||
\(924\) | 11.8668 | − | 6.13922i | 0.390388 | − | 0.201965i | ||||
\(925\) | 1.32990 | + | 0.390493i | 0.0437268 | + | 0.0128393i | ||||
\(926\) | 20.6070 | − | 1.96773i | 0.677188 | − | 0.0646636i | ||||
\(927\) | −0.0320515 | − | 0.0926067i | −0.00105271 | − | 0.00304160i | ||||
\(928\) | −1.84916 | − | 1.45420i | −0.0607017 | − | 0.0477364i | ||||
\(929\) | −35.4282 | − | 33.7808i | −1.16236 | − | 1.10831i | −0.992424 | − | 0.122856i | \(-0.960795\pi\) |
−0.169939 | − | 0.985455i | \(-0.554357\pi\) | |||||||
\(930\) | −5.82824 | − | 6.72615i | −0.191116 | − | 0.220559i | ||||
\(931\) | 19.1991 | + | 7.62260i | 0.629225 | + | 0.249821i | ||||
\(932\) | 25.0778 | − | 16.1165i | 0.821450 | − | 0.527914i | ||||
\(933\) | −9.68876 | + | 27.9938i | −0.317196 | + | 0.916477i | ||||
\(934\) | 4.21745 | − | 17.3845i | 0.137999 | − | 0.568840i | ||||
\(935\) | 43.9741 | + | 34.5816i | 1.43811 | + | 1.13094i | ||||
\(936\) | −3.99854 | − | 0.770655i | −0.130696 | − | 0.0251896i | ||||
\(937\) | −10.8440 | + | 23.7451i | −0.354260 | + | 0.775720i | 0.645667 | + | 0.763619i | \(0.276579\pi\) |
−0.999927 | + | 0.0121013i | \(0.996148\pi\) | |||||||
\(938\) | 1.22944 | − | 5.09959i | 0.0401425 | − | 0.166507i | ||||
\(939\) | −1.06163 | − | 2.32465i | −0.0346450 | − | 0.0758621i | ||||
\(940\) | −19.1784 | + | 15.0821i | −0.625531 | + | 0.491923i | ||||
\(941\) | −34.3350 | + | 17.7009i | −1.11929 | + | 0.577034i | −0.915636 | − | 0.402009i | \(-0.868312\pi\) |
−0.203654 | + | 0.979043i | \(0.565282\pi\) | |||||||
\(942\) | 4.82152 | − | 8.35111i | 0.157094 | − | 0.272094i | ||||
\(943\) | −33.0382 | + | 35.6287i | −1.07587 | + | 1.16023i | ||||
\(944\) | −4.49749 | −0.146381 | ||||||||
\(945\) | −6.00176 | + | 0.00857250i | −0.195237 | + | 0.000278864i | ||||
\(946\) | 6.91416 | + | 48.0891i | 0.224799 | + | 1.56351i | ||||
\(947\) | 13.2173 | − | 18.5612i | 0.429506 | − | 0.603157i | −0.541940 | − | 0.840417i | \(-0.682310\pi\) |
0.971446 | + | 0.237260i | \(0.0762495\pi\) | |||||||
\(948\) | −4.54624 | + | 4.33483i | −0.147655 | + | 0.140789i | ||||
\(949\) | −20.4120 | − | 28.6646i | −0.662600 | − | 0.930492i | ||||
\(950\) | −0.422737 | − | 0.0814760i | −0.0137154 | − | 0.00264343i | ||||
\(951\) | 3.60875 | − | 25.0994i | 0.117022 | − | 0.813905i | ||||
\(952\) | 12.6905 | + | 2.42711i | 0.411303 | + | 0.0786630i | ||||
\(953\) | 15.6144 | + | 18.0200i | 0.505799 | + | 0.583724i | 0.950018 | − | 0.312195i | \(-0.101064\pi\) |
−0.444219 | + | 0.895918i | \(0.646519\pi\) | |||||||
\(954\) | 8.00696 | + | 4.12787i | 0.259235 | + | 0.133645i | ||||
\(955\) | 0.101193 | + | 2.12430i | 0.00327452 | + | 0.0687407i | ||||
\(956\) | −12.4830 | + | 2.40590i | −0.403730 | + | 0.0778125i | ||||
\(957\) | 8.59775 | + | 8.19794i | 0.277926 | + | 0.265002i | ||||
\(958\) | 1.49306 | − | 10.3845i | 0.0482387 | − | 0.335508i | ||||
\(959\) | 14.5590 | − | 5.85270i | 0.470136 | − | 0.188994i | ||||
\(960\) | −0.942350 | + | 2.06346i | −0.0304142 | + | 0.0665979i | ||||
\(961\) | −3.67955 | − | 15.1673i | −0.118695 | − | 0.489268i | ||||
\(962\) | −38.5127 | − | 3.67752i | −1.24170 | − | 0.118568i | ||||
\(963\) | −0.851613 | − | 0.340934i | −0.0274428 | − | 0.0109865i | ||||
\(964\) | 0.0473625 | − | 0.994261i | 0.00152544 | − | 0.0320230i | ||||
\(965\) | −25.6759 | −0.826537 | ||||||||
\(966\) | −0.194573 | − | 12.6871i | −0.00626028 | − | 0.408200i | ||||
\(967\) | 9.41123 | 0.302645 | 0.151322 | − | 0.988484i | \(-0.451647\pi\) | ||||
0.151322 | + | 0.988484i | \(0.451647\pi\) | |||||||
\(968\) | −0.690008 | + | 14.4851i | −0.0221777 | + | 0.465567i | ||||
\(969\) | 13.3789 | + | 5.35610i | 0.429792 | + | 0.172063i | ||||
\(970\) | 14.0935 | + | 1.34576i | 0.452514 | + | 0.0432098i | ||||
\(971\) | −9.63013 | − | 39.6959i | −0.309046 | − | 1.27390i | −0.888492 | − | 0.458893i | \(-0.848246\pi\) |
0.579446 | − | 0.815011i | \(-0.303269\pi\) | |||||||
\(972\) | −0.415415 | + | 0.909632i | −0.0133244 | + | 0.0291765i | ||||
\(973\) | −9.87739 | − | 7.74486i | −0.316655 | − | 0.248289i | ||||
\(974\) | −4.37404 | + | 30.4221i | −0.140153 | + | 0.974787i | ||||
\(975\) | −0.429955 | − | 0.409961i | −0.0137696 | − | 0.0131293i | ||||
\(976\) | 0.864159 | − | 0.166553i | 0.0276611 | − | 0.00533123i | ||||
\(977\) | 1.67796 | + | 35.2248i | 0.0536828 | + | 1.12694i | 0.851606 | + | 0.524182i | \(0.175629\pi\) |
−0.797924 | + | 0.602759i | \(0.794068\pi\) | |||||||
\(978\) | 13.3865 | + | 6.90122i | 0.428053 | + | 0.220677i | ||||
\(979\) | 16.4951 | + | 19.0364i | 0.527186 | + | 0.608405i | ||||
\(980\) | 14.7248 | − | 5.94379i | 0.470367 | − | 0.189867i | ||||
\(981\) | −0.0740367 | + | 0.514936i | −0.00236381 | + | 0.0164407i | ||||
\(982\) | 27.2627 | + | 5.25446i | 0.869989 | + | 0.167677i | ||||
\(983\) | −13.1283 | − | 18.4361i | −0.418726 | − | 0.588019i | 0.550303 | − | 0.834965i | \(-0.314512\pi\) |
−0.969029 | + | 0.246946i | \(0.920573\pi\) | |||||||
\(984\) | −7.33257 | + | 6.99160i | −0.233754 | + | 0.222884i | ||||
\(985\) | 3.35604 | − | 4.71289i | 0.106932 | − | 0.150165i | ||||
\(986\) | 1.63495 | + | 11.3714i | 0.0520675 | + | 0.362138i | ||||
\(987\) | 14.1930 | − | 24.6643i | 0.451768 | − | 0.785072i | ||||
\(988\) | 12.0168 | 0.382306 | ||||||||
\(989\) | 43.8073 | + | 14.4829i | 1.39299 | + | 0.460529i | ||||
\(990\) | 5.72773 | − | 9.92073i | 0.182039 | − | 0.315301i | ||||
\(991\) | 19.4858 | − | 10.0456i | 0.618987 | − | 0.319110i | −0.120057 | − | 0.992767i | \(-0.538308\pi\) |
0.739044 | + | 0.673657i | \(0.235277\pi\) | |||||||
\(992\) | 3.08397 | − | 2.42526i | 0.0979161 | − | 0.0770021i | ||||
\(993\) | 6.30377 | + | 13.8033i | 0.200044 | + | 0.438036i | ||||
\(994\) | −30.6464 | + | 9.04615i | −0.972044 | + | 0.286927i | ||||
\(995\) | −18.3467 | + | 40.1737i | −0.581629 | + | 1.27359i | ||||
\(996\) | −3.39028 | − | 0.653423i | −0.107425 | − | 0.0207045i | ||||
\(997\) | 3.95934 | + | 3.11366i | 0.125394 | + | 0.0986106i | 0.678886 | − | 0.734243i | \(-0.262463\pi\) |
−0.553493 | + | 0.832854i | \(0.686705\pi\) | |||||||
\(998\) | −8.48988 | + | 34.9957i | −0.268742 | + | 1.10777i | ||||
\(999\) | −3.10736 | + | 8.97813i | −0.0983125 | + | 0.284055i |
(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 | 966.2.y.a.25.7 | ✓ | 160 | |
7.2 | even | 3 | inner | 966.2.y.a.163.7 | yes | 160 | |
23.12 | even | 11 | inner | 966.2.y.a.403.7 | yes | 160 | |
161.58 | even | 33 | inner | 966.2.y.a.541.7 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.y.a.25.7 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.y.a.163.7 | yes | 160 | 7.2 | even | 3 | inner | |
966.2.y.a.403.7 | yes | 160 | 23.12 | even | 11 | inner | |
966.2.y.a.541.7 | yes | 160 | 161.58 | even | 33 | inner |