Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (of order \(20\), degree \(8\), 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: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 113.6 | ||
Character | \(\chi\) | \(=\) | 150.113 |
Dual form | 150.2.l.a.77.6 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.156434 | + | 0.987688i | 0.110616 | + | 0.698401i | ||||
\(3\) | −1.50729 | − | 0.853283i | −0.870231 | − | 0.492643i | ||||
\(4\) | −0.951057 | + | 0.309017i | −0.475528 | + | 0.154508i | ||||
\(5\) | 0.919260 | − | 2.03837i | 0.411106 | − | 0.911588i | ||||
\(6\) | 0.606986 | − | 1.62221i | 0.247801 | − | 0.662265i | ||||
\(7\) | 2.93554 | − | 2.93554i | 1.10953 | − | 1.10953i | 0.116317 | − | 0.993212i | \(-0.462891\pi\) |
0.993212 | − | 0.116317i | \(-0.0371088\pi\) | |||||||
\(8\) | −0.453990 | − | 0.891007i | −0.160510 | − | 0.315018i | ||||
\(9\) | 1.54382 | + | 2.57228i | 0.514605 | + | 0.857427i | ||||
\(10\) | 2.15708 | + | 0.589071i | 0.682129 | + | 0.186281i | ||||
\(11\) | −0.613906 | + | 0.844968i | −0.185099 | + | 0.254768i | −0.891475 | − | 0.453070i | \(-0.850329\pi\) |
0.706376 | + | 0.707837i | \(0.250329\pi\) | |||||||
\(12\) | 1.69719 | + | 0.345744i | 0.489937 | + | 0.0998076i | ||||
\(13\) | 0.542627 | + | 0.0859436i | 0.150498 | + | 0.0238365i | 0.231229 | − | 0.972899i | \(-0.425725\pi\) |
−0.0807310 | + | 0.996736i | \(0.525725\pi\) | |||||||
\(14\) | 3.35862 | + | 2.44018i | 0.897628 | + | 0.652165i | ||||
\(15\) | −3.12490 | + | 2.28802i | −0.806845 | + | 0.590764i | ||||
\(16\) | 0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | ||||
\(17\) | 4.43491 | − | 2.25970i | 1.07562 | − | 0.548058i | 0.175851 | − | 0.984417i | \(-0.443732\pi\) |
0.899773 | + | 0.436359i | \(0.143732\pi\) | |||||||
\(18\) | −2.29911 | + | 1.92720i | −0.541905 | + | 0.454246i | ||||
\(19\) | −5.82500 | − | 1.89266i | −1.33635 | − | 0.434205i | −0.448268 | − | 0.893899i | \(-0.647959\pi\) |
−0.888077 | + | 0.459694i | \(0.847959\pi\) | |||||||
\(20\) | −0.244377 | + | 2.22267i | −0.0546443 | + | 0.497005i | ||||
\(21\) | −6.92954 | + | 1.91985i | −1.51215 | + | 0.418945i | ||||
\(22\) | −0.930602 | − | 0.474165i | −0.198405 | − | 0.101092i | ||||
\(23\) | −0.754303 | + | 0.119470i | −0.157283 | + | 0.0249112i | −0.234579 | − | 0.972097i | \(-0.575371\pi\) |
0.0772962 | + | 0.997008i | \(0.475371\pi\) | |||||||
\(24\) | −0.0759877 | + | 1.73038i | −0.0155109 | + | 0.353213i | ||||
\(25\) | −3.30992 | − | 3.74759i | −0.661984 | − | 0.749518i | ||||
\(26\) | 0.549391i | 0.107744i | ||||||||
\(27\) | −0.132087 | − | 5.19447i | −0.0254201 | − | 0.999677i | ||||
\(28\) | −1.88473 | + | 3.69899i | −0.356181 | + | 0.699044i | ||||
\(29\) | 2.30581 | + | 7.09654i | 0.428177 | + | 1.31779i | 0.899919 | + | 0.436058i | \(0.143626\pi\) |
−0.471741 | + | 0.881737i | \(0.656374\pi\) | |||||||
\(30\) | −2.74869 | − | 2.72850i | −0.501840 | − | 0.498153i | ||||
\(31\) | −0.786024 | + | 2.41913i | −0.141174 | + | 0.434489i | −0.996499 | − | 0.0836026i | \(-0.973357\pi\) |
0.855325 | + | 0.518092i | \(0.173357\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | 1.64633 | − | 0.749773i | 0.286589 | − | 0.130519i | ||||
\(34\) | 2.92565 | + | 4.02682i | 0.501745 | + | 0.690593i | ||||
\(35\) | −3.28520 | − | 8.68224i | −0.555299 | − | 1.46757i | ||||
\(36\) | −2.26314 | − | 1.96932i | −0.377189 | − | 0.328220i | ||||
\(37\) | −1.45972 | + | 9.21632i | −0.239977 | + | 1.51515i | 0.513735 | + | 0.857949i | \(0.328261\pi\) |
−0.753712 | + | 0.657205i | \(0.771739\pi\) | |||||||
\(38\) | 0.958124 | − | 6.04936i | 0.155428 | − | 0.981335i | ||||
\(39\) | −0.744559 | − | 0.592556i | −0.119225 | − | 0.0948849i | ||||
\(40\) | −2.23354 | + | 0.106335i | −0.353153 | + | 0.0168130i | ||||
\(41\) | 5.89166 | + | 8.10918i | 0.920123 | + | 1.26644i | 0.963589 | + | 0.267386i | \(0.0861600\pi\) |
−0.0434660 | + | 0.999055i | \(0.513840\pi\) | |||||||
\(42\) | −2.98023 | − | 6.54389i | −0.459859 | − | 1.00974i | ||||
\(43\) | 0.405017 | + | 0.405017i | 0.0617645 | + | 0.0617645i | 0.737314 | − | 0.675550i | \(-0.236094\pi\) |
−0.675550 | + | 0.737314i | \(0.736094\pi\) | |||||||
\(44\) | 0.322749 | − | 0.993320i | 0.0486563 | − | 0.149749i | ||||
\(45\) | 6.66244 | − | 0.782276i | 0.993177 | − | 0.116615i | ||||
\(46\) | −0.235998 | − | 0.726327i | −0.0347960 | − | 0.107091i | ||||
\(47\) | −0.320136 | + | 0.628302i | −0.0466966 | + | 0.0916472i | −0.913176 | − | 0.407566i | \(-0.866378\pi\) |
0.866479 | + | 0.499213i | \(0.166378\pi\) | |||||||
\(48\) | −1.72097 | + | 0.195639i | −0.248400 | + | 0.0282381i | ||||
\(49\) | − | 10.2348i | − | 1.46211i | ||||||
\(50\) | 3.18366 | − | 3.85542i | 0.450238 | − | 0.545239i | ||||
\(51\) | −8.61284 | − | 0.378222i | −1.20604 | − | 0.0529617i | ||||
\(52\) | −0.542627 | + | 0.0859436i | −0.0752488 | + | 0.0119182i | ||||
\(53\) | −6.82529 | − | 3.47766i | −0.937526 | − | 0.477693i | −0.0826807 | − | 0.996576i | \(-0.526348\pi\) |
−0.854845 | + | 0.518883i | \(0.826348\pi\) | |||||||
\(54\) | 5.10986 | − | 0.943055i | 0.695364 | − | 0.128334i | ||||
\(55\) | 1.15802 | + | 2.02811i | 0.156148 | + | 0.273471i | ||||
\(56\) | −3.94829 | − | 1.28288i | −0.527612 | − | 0.171432i | ||||
\(57\) | 7.16496 | + | 7.82314i | 0.949022 | + | 1.03620i | ||||
\(58\) | −6.64846 | + | 3.38756i | −0.872986 | + | 0.444809i | ||||
\(59\) | −0.444196 | + | 0.322728i | −0.0578294 | + | 0.0420156i | −0.616324 | − | 0.787492i | \(-0.711379\pi\) |
0.558495 | + | 0.829508i | \(0.311379\pi\) | |||||||
\(60\) | 2.26492 | − | 3.14168i | 0.292399 | − | 0.405589i | ||||
\(61\) | 5.77332 | + | 4.19456i | 0.739198 | + | 0.537059i | 0.892460 | − | 0.451127i | \(-0.148978\pi\) |
−0.153262 | + | 0.988186i | \(0.548978\pi\) | |||||||
\(62\) | −2.51231 | − | 0.397911i | −0.319064 | − | 0.0505347i | ||||
\(63\) | 12.0830 | + | 3.01910i | 1.52231 | + | 0.380371i | ||||
\(64\) | −0.587785 | + | 0.809017i | −0.0734732 | + | 0.101127i | ||||
\(65\) | 0.674000 | − | 1.02707i | 0.0835994 | − | 0.127392i | ||||
\(66\) | 0.998085 | + | 1.50877i | 0.122856 | + | 0.185717i | ||||
\(67\) | 4.27513 | + | 8.39042i | 0.522290 | + | 1.02505i | 0.989986 | + | 0.141163i | \(0.0450843\pi\) |
−0.467696 | + | 0.883889i | \(0.654916\pi\) | |||||||
\(68\) | −3.51957 | + | 3.51957i | −0.426810 | + | 0.426810i | ||||
\(69\) | 1.23889 | + | 0.463559i | 0.149145 | + | 0.0558059i | ||||
\(70\) | 8.06143 | − | 4.60295i | 0.963525 | − | 0.550158i | ||||
\(71\) | −4.73186 | + | 1.53747i | −0.561568 | + | 0.182465i | −0.576027 | − | 0.817431i | \(-0.695398\pi\) |
0.0144583 | + | 0.999895i | \(0.495398\pi\) | |||||||
\(72\) | 1.59104 | − | 2.54334i | 0.187506 | − | 0.299736i | ||||
\(73\) | −2.24264 | − | 14.1595i | −0.262481 | − | 1.65724i | −0.668749 | − | 0.743488i | \(-0.733170\pi\) |
0.406268 | − | 0.913754i | \(-0.366830\pi\) | |||||||
\(74\) | −9.33120 | −1.08473 | ||||||||
\(75\) | 1.79124 | + | 8.47298i | 0.206835 | + | 0.978376i | ||||
\(76\) | 6.12476 | 0.702558 | ||||||||
\(77\) | 0.678294 | + | 4.28258i | 0.0772988 | + | 0.488045i | ||||
\(78\) | 0.468786 | − | 0.828088i | 0.0530795 | − | 0.0937625i | ||||
\(79\) | 9.92188 | − | 3.22381i | 1.11630 | − | 0.362708i | 0.307945 | − | 0.951404i | \(-0.400359\pi\) |
0.808354 | + | 0.588697i | \(0.200359\pi\) | |||||||
\(80\) | −0.454428 | − | 2.18941i | −0.0508066 | − | 0.244783i | ||||
\(81\) | −4.23326 | + | 7.94226i | −0.470363 | + | 0.882473i | ||||
\(82\) | −7.08768 | + | 7.08768i | −0.782704 | + | 0.782704i | ||||
\(83\) | 1.84695 | + | 3.62484i | 0.202729 | + | 0.397878i | 0.969878 | − | 0.243591i | \(-0.0783254\pi\) |
−0.767149 | + | 0.641469i | \(0.778325\pi\) | |||||||
\(84\) | 5.99712 | − | 3.96723i | 0.654339 | − | 0.432860i | ||||
\(85\) | −0.529273 | − | 11.1173i | −0.0574077 | − | 1.20584i | ||||
\(86\) | −0.336672 | + | 0.463389i | −0.0363043 | + | 0.0499685i | ||||
\(87\) | 2.57985 | − | 12.6640i | 0.276589 | − | 1.35773i | ||||
\(88\) | 1.03158 | + | 0.163386i | 0.109967 | + | 0.0174170i | ||||
\(89\) | 7.67825 | + | 5.57858i | 0.813893 | + | 0.591328i | 0.914957 | − | 0.403552i | \(-0.132225\pi\) |
−0.101064 | + | 0.994880i | \(0.532225\pi\) | |||||||
\(90\) | 1.81488 | + | 6.45803i | 0.191305 | + | 0.680737i | ||||
\(91\) | 1.84519 | − | 1.34061i | 0.193429 | − | 0.140534i | ||||
\(92\) | 0.680467 | − | 0.346715i | 0.0709436 | − | 0.0361476i | ||||
\(93\) | 3.24897 | − | 2.97562i | 0.336902 | − | 0.308558i | ||||
\(94\) | −0.670646 | − | 0.217906i | −0.0691719 | − | 0.0224753i | ||||
\(95\) | −9.21262 | + | 10.1337i | −0.945195 | + | 1.03969i | ||||
\(96\) | −0.462449 | − | 1.66917i | −0.0471985 | − | 0.170359i | ||||
\(97\) | −1.77470 | − | 0.904255i | −0.180193 | − | 0.0918132i | 0.361567 | − | 0.932346i | \(-0.382242\pi\) |
−0.541760 | + | 0.840533i | \(0.682242\pi\) | |||||||
\(98\) | 10.1088 | − | 1.60107i | 1.02114 | − | 0.161732i | ||||
\(99\) | −3.12125 | − | 0.274662i | −0.313698 | − | 0.0276046i | ||||
\(100\) | 4.30599 | + | 2.54135i | 0.430599 | + | 0.254135i | ||||
\(101\) | − | 13.1778i | − | 1.31124i | −0.755090 | − | 0.655621i | \(-0.772407\pi\) | ||
0.755090 | − | 0.655621i | \(-0.227593\pi\) | |||||||
\(102\) | −0.973779 | − | 8.56597i | −0.0964185 | − | 0.848157i | ||||
\(103\) | −3.79637 | + | 7.45080i | −0.374068 | + | 0.734149i | −0.998914 | − | 0.0465989i | \(-0.985162\pi\) |
0.624846 | + | 0.780748i | \(0.285162\pi\) | |||||||
\(104\) | −0.169771 | − | 0.522502i | −0.0166474 | − | 0.0512355i | ||||
\(105\) | −2.45668 | + | 15.8898i | −0.239748 | + | 1.55069i | ||||
\(106\) | 2.36713 | − | 7.28529i | 0.229916 | − | 0.707610i | ||||
\(107\) | −7.96897 | − | 7.96897i | −0.770389 | − | 0.770389i | 0.207785 | − | 0.978174i | \(-0.433374\pi\) |
−0.978174 | + | 0.207785i | \(0.933374\pi\) | |||||||
\(108\) | 1.73080 | + | 4.89942i | 0.166547 | + | 0.471447i | ||||
\(109\) | −6.82747 | − | 9.39721i | −0.653953 | − | 0.900089i | 0.345309 | − | 0.938489i | \(-0.387774\pi\) |
−0.999262 | + | 0.0383996i | \(0.987774\pi\) | |||||||
\(110\) | −1.82199 | + | 1.46103i | −0.173720 | + | 0.139304i | ||||
\(111\) | 10.0643 | − | 12.6461i | 0.955266 | − | 1.20031i | ||||
\(112\) | 0.649434 | − | 4.10037i | 0.0613658 | − | 0.387448i | ||||
\(113\) | 0.0791636 | − | 0.499819i | 0.00744708 | − | 0.0470190i | −0.983685 | − | 0.179900i | \(-0.942423\pi\) |
0.991132 | + | 0.132881i | \(0.0424227\pi\) | |||||||
\(114\) | −6.60598 | + | 8.30055i | −0.618707 | + | 0.777418i | ||||
\(115\) | −0.449877 | + | 1.64737i | −0.0419512 | + | 0.153618i | ||||
\(116\) | −4.38590 | − | 6.03668i | −0.407221 | − | 0.560492i | ||||
\(117\) | 0.616645 | + | 1.52847i | 0.0570088 | + | 0.141307i | ||||
\(118\) | −0.388242 | − | 0.388242i | −0.0357406 | − | 0.0357406i | ||||
\(119\) | 6.38542 | − | 19.6523i | 0.585350 | − | 1.80152i | ||||
\(120\) | 3.45731 | + | 1.74556i | 0.315608 | + | 0.159347i | ||||
\(121\) | 3.06210 | + | 9.42416i | 0.278372 | + | 0.856742i | ||||
\(122\) | −3.23977 | + | 6.35841i | −0.293315 | + | 0.575664i | ||||
\(123\) | −1.96099 | − | 17.2501i | −0.176817 | − | 1.55539i | ||||
\(124\) | − | 2.54363i | − | 0.228424i | ||||||
\(125\) | −10.6817 | + | 3.30184i | −0.955397 | + | 0.295326i | ||||
\(126\) | −1.09174 | + | 12.4065i | −0.0972597 | + | 1.10526i | ||||
\(127\) | 0.319989 | − | 0.0506813i | 0.0283944 | − | 0.00449724i | −0.142221 | − | 0.989835i | \(-0.545424\pi\) |
0.170616 | + | 0.985338i | \(0.445424\pi\) | |||||||
\(128\) | −0.891007 | − | 0.453990i | −0.0787546 | − | 0.0401275i | ||||
\(129\) | −0.264882 | − | 0.956070i | −0.0233215 | − | 0.0841773i | ||||
\(130\) | 1.11986 | + | 0.505033i | 0.0982184 | + | 0.0442943i | ||||
\(131\) | 10.8014 | + | 3.50958i | 0.943720 | + | 0.306633i | 0.740161 | − | 0.672429i | \(-0.234749\pi\) |
0.203559 | + | 0.979063i | \(0.434749\pi\) | |||||||
\(132\) | −1.33406 | + | 1.22182i | −0.116115 | + | 0.106346i | ||||
\(133\) | −22.6555 | + | 11.5435i | −1.96448 | + | 1.00095i | ||||
\(134\) | −7.61834 | + | 5.53505i | −0.658124 | + | 0.478155i | ||||
\(135\) | −10.7097 | − | 4.50583i | −0.921743 | − | 0.387800i | ||||
\(136\) | −4.02682 | − | 2.92565i | −0.345297 | − | 0.250873i | ||||
\(137\) | −9.98531 | − | 1.58152i | −0.853102 | − | 0.135118i | −0.285457 | − | 0.958391i | \(-0.592145\pi\) |
−0.567645 | + | 0.823273i | \(0.692145\pi\) | |||||||
\(138\) | −0.264046 | + | 1.29616i | −0.0224771 | + | 0.110336i | ||||
\(139\) | −12.3527 | + | 17.0020i | −1.04774 | + | 1.44209i | −0.156989 | + | 0.987600i | \(0.550179\pi\) |
−0.890751 | + | 0.454491i | \(0.849821\pi\) | |||||||
\(140\) | 5.80737 | + | 7.24212i | 0.490812 | + | 0.612071i | ||||
\(141\) | 1.01865 | − | 0.673863i | 0.0857862 | − | 0.0567495i | ||||
\(142\) | −2.25877 | − | 4.43309i | −0.189552 | − | 0.372017i | ||||
\(143\) | −0.405741 | + | 0.405741i | −0.0339298 | + | 0.0339298i | ||||
\(144\) | 2.76092 | + | 1.17359i | 0.230077 | + | 0.0977989i | ||||
\(145\) | 16.5850 | + | 1.82348i | 1.37731 | + | 0.151432i | ||||
\(146\) | 13.6343 | − | 4.43006i | 1.12838 | − | 0.366634i | ||||
\(147\) | −8.73315 | + | 15.4267i | −0.720298 | + | 1.27237i | ||||
\(148\) | −1.45972 | − | 9.21632i | −0.119988 | − | 0.757577i | ||||
\(149\) | −13.3393 | −1.09280 | −0.546401 | − | 0.837524i | \(-0.684003\pi\) | ||||
−0.546401 | + | 0.837524i | \(0.684003\pi\) | |||||||
\(150\) | −8.08846 | + | 3.09466i | −0.660420 | + | 0.252678i | ||||
\(151\) | 5.12337 | 0.416934 | 0.208467 | − | 0.978029i | \(-0.433153\pi\) | ||||
0.208467 | + | 0.978029i | \(0.433153\pi\) | |||||||
\(152\) | 0.958124 | + | 6.04936i | 0.0777141 | + | 0.490668i | ||||
\(153\) | 12.6593 | + | 7.91928i | 1.02344 | + | 0.640236i | ||||
\(154\) | −4.12375 | + | 1.33989i | −0.332301 | + | 0.107971i | ||||
\(155\) | 4.20853 | + | 3.82602i | 0.338037 | + | 0.307313i | ||||
\(156\) | 0.891227 | + | 0.333473i | 0.0713553 | + | 0.0266992i | ||||
\(157\) | 3.63440 | − | 3.63440i | 0.290057 | − | 0.290057i | −0.547046 | − | 0.837103i | \(-0.684248\pi\) |
0.837103 | + | 0.547046i | \(0.184248\pi\) | |||||||
\(158\) | 4.73625 | + | 9.29541i | 0.376796 | + | 0.739503i | ||||
\(159\) | 7.32023 | + | 11.0657i | 0.580532 | + | 0.877570i | ||||
\(160\) | 2.09136 | − | 0.791332i | 0.165337 | − | 0.0625603i | ||||
\(161\) | −1.86358 | + | 2.56499i | −0.146870 | + | 0.202150i | ||||
\(162\) | −8.50671 | − | 2.93870i | −0.668350 | − | 0.230886i | ||||
\(163\) | 21.7604 | + | 3.44651i | 1.70441 | + | 0.269952i | 0.931281 | − | 0.364301i | \(-0.118692\pi\) |
0.773126 | + | 0.634253i | \(0.218692\pi\) | |||||||
\(164\) | −8.10918 | − | 5.89166i | −0.633221 | − | 0.460062i | ||||
\(165\) | −0.0149131 | − | 4.04507i | −0.00116098 | − | 0.314908i | ||||
\(166\) | −3.29129 | + | 2.39126i | −0.255453 | + | 0.185598i | ||||
\(167\) | −6.12488 | + | 3.12078i | −0.473957 | + | 0.241493i | −0.674617 | − | 0.738168i | \(-0.735691\pi\) |
0.200660 | + | 0.979661i | \(0.435691\pi\) | |||||||
\(168\) | 4.85654 | + | 5.30267i | 0.374690 | + | 0.409110i | ||||
\(169\) | −12.0767 | − | 3.92395i | −0.928975 | − | 0.301842i | ||||
\(170\) | 10.8976 | − | 2.26188i | 0.835807 | − | 0.173478i | ||||
\(171\) | −4.12428 | − | 17.9054i | −0.315391 | − | 1.36926i | ||||
\(172\) | −0.510351 | − | 0.260037i | −0.0389139 | − | 0.0198276i | ||||
\(173\) | −4.75334 | + | 0.752855i | −0.361390 | + | 0.0572385i | −0.334489 | − | 0.942400i | \(-0.608564\pi\) |
−0.0269007 | + | 0.999638i | \(0.508564\pi\) | |||||||
\(174\) | 12.9117 | + | 0.567001i | 0.978832 | + | 0.0429842i | ||||
\(175\) | −20.7176 | − | 1.28479i | −1.56610 | − | 0.0971208i | ||||
\(176\) | 1.04444i | 0.0787275i | ||||||||
\(177\) | 0.944909 | − | 0.107417i | 0.0710237 | − | 0.00807397i | ||||
\(178\) | −4.30875 | + | 8.45640i | −0.322955 | + | 0.633834i | ||||
\(179\) | −4.01856 | − | 12.3679i | −0.300361 | − | 0.924417i | −0.981368 | − | 0.192139i | \(-0.938457\pi\) |
0.681006 | − | 0.732277i | \(-0.261543\pi\) | |||||||
\(180\) | −6.09462 | + | 2.80279i | −0.454266 | + | 0.208908i | ||||
\(181\) | 2.06775 | − | 6.36388i | 0.153695 | − | 0.473023i | −0.844332 | − | 0.535821i | \(-0.820002\pi\) |
0.998026 | + | 0.0627975i | \(0.0200022\pi\) | |||||||
\(182\) | 1.61276 | + | 1.61276i | 0.119546 | + | 0.119546i | ||||
\(183\) | −5.12289 | − | 11.2487i | −0.378695 | − | 0.831526i | ||||
\(184\) | 0.448895 | + | 0.617851i | 0.0330930 | + | 0.0455486i | ||||
\(185\) | 17.4444 | + | 11.4477i | 1.28254 | + | 0.841648i | ||||
\(186\) | 3.44724 | + | 2.74348i | 0.252764 | + | 0.201161i | ||||
\(187\) | −0.813241 | + | 5.13460i | −0.0594701 | + | 0.375479i | ||||
\(188\) | 0.110311 | − | 0.696478i | 0.00804527 | − | 0.0507959i | ||||
\(189\) | −15.6363 | − | 14.8608i | −1.13737 | − | 1.08097i | ||||
\(190\) | −11.4501 | − | 7.51395i | −0.830676 | − | 0.545119i | ||||
\(191\) | −2.80678 | − | 3.86321i | −0.203092 | − | 0.279532i | 0.695307 | − | 0.718713i | \(-0.255269\pi\) |
−0.898398 | + | 0.439181i | \(0.855269\pi\) | |||||||
\(192\) | 1.57628 | − | 0.717872i | 0.113758 | − | 0.0518079i | ||||
\(193\) | 4.29511 | + | 4.29511i | 0.309169 | + | 0.309169i | 0.844587 | − | 0.535418i | \(-0.179846\pi\) |
−0.535418 | + | 0.844587i | \(0.679846\pi\) | |||||||
\(194\) | 0.615498 | − | 1.89431i | 0.0441902 | − | 0.136003i | ||||
\(195\) | −1.89229 | + | 0.972975i | −0.135510 | + | 0.0696762i | ||||
\(196\) | 3.16272 | + | 9.73384i | 0.225908 | + | 0.695274i | ||||
\(197\) | 6.07357 | − | 11.9200i | 0.432724 | − | 0.849268i | −0.566951 | − | 0.823752i | \(-0.691877\pi\) |
0.999674 | − | 0.0255162i | \(-0.00812295\pi\) | |||||||
\(198\) | −0.216991 | − | 3.12579i | −0.0154209 | − | 0.222140i | ||||
\(199\) | − | 3.34436i | − | 0.237075i | −0.992950 | − | 0.118538i | \(-0.962179\pi\) | ||
0.992950 | − | 0.118538i | \(-0.0378206\pi\) | |||||||
\(200\) | −1.83645 | + | 4.65053i | −0.129857 | + | 0.328842i | ||||
\(201\) | 0.715560 | − | 16.2946i | 0.0504717 | − | 1.14934i | ||||
\(202\) | 13.0156 | − | 2.06147i | 0.915773 | − | 0.145044i | ||||
\(203\) | 27.6009 | + | 14.0634i | 1.93721 | + | 0.987056i | ||||
\(204\) | 8.30818 | − | 2.30180i | 0.581689 | − | 0.161158i | ||||
\(205\) | 21.9455 | − | 4.55496i | 1.53274 | − | 0.318132i | ||||
\(206\) | −7.95295 | − | 2.58407i | −0.554108 | − | 0.180041i | ||||
\(207\) | −1.47182 | − | 1.75584i | −0.102298 | − | 0.122039i | ||||
\(208\) | 0.489511 | − | 0.249418i | 0.0339415 | − | 0.0172940i | ||||
\(209\) | 5.17523 | − | 3.76003i | 0.357978 | − | 0.260086i | ||||
\(210\) | −16.0785 | + | 0.0592771i | −1.10952 | + | 0.00409051i | ||||
\(211\) | −11.9355 | − | 8.67168i | −0.821677 | − | 0.596983i | 0.0955156 | − | 0.995428i | \(-0.469550\pi\) |
−0.917192 | + | 0.398445i | \(0.869550\pi\) | |||||||
\(212\) | 7.56590 | + | 1.19832i | 0.519628 | + | 0.0823010i | ||||
\(213\) | 8.44416 | + | 1.72020i | 0.578584 | + | 0.117866i | ||||
\(214\) | 6.62423 | − | 9.11748i | 0.452823 | − | 0.623258i | ||||
\(215\) | 1.19789 | − | 0.453259i | 0.0816955 | − | 0.0309120i | ||||
\(216\) | −4.56834 | + | 2.47593i | −0.310836 | + | 0.168466i | ||||
\(217\) | 4.79405 | + | 9.40886i | 0.325441 | + | 0.638715i | ||||
\(218\) | 8.21346 | − | 8.21346i | 0.556286 | − | 0.556286i | ||||
\(219\) | −8.70174 | + | 23.2560i | −0.588009 | + | 1.57149i | ||||
\(220\) | −1.72807 | − | 1.57100i | −0.116506 | − | 0.105917i | ||||
\(221\) | 2.60071 | − | 0.845022i | 0.174943 | − | 0.0568423i | ||||
\(222\) | 14.0648 | + | 7.96216i | 0.943966 | + | 0.534385i | ||||
\(223\) | 0.624895 | + | 3.94543i | 0.0418460 | + | 0.264205i | 0.999737 | − | 0.0229262i | \(-0.00729827\pi\) |
−0.957891 | + | 0.287132i | \(0.907298\pi\) | |||||||
\(224\) | 4.15148 | 0.277382 | ||||||||
\(225\) | 4.52994 | − | 14.2996i | 0.301996 | − | 0.953309i | ||||
\(226\) | 0.506049 | 0.0336619 | ||||||||
\(227\) | −1.25853 | − | 7.94605i | −0.0835316 | − | 0.527398i | −0.993601 | − | 0.112943i | \(-0.963972\pi\) |
0.910070 | − | 0.414455i | \(-0.136028\pi\) | |||||||
\(228\) | −9.23176 | − | 5.22616i | −0.611388 | − | 0.346111i | ||||
\(229\) | 10.7327 | − | 3.48726i | 0.709236 | − | 0.230445i | 0.0678859 | − | 0.997693i | \(-0.478375\pi\) |
0.641350 | + | 0.767248i | \(0.278375\pi\) | |||||||
\(230\) | −1.69747 | − | 0.186632i | −0.111928 | − | 0.0123061i | ||||
\(231\) | 2.63187 | − | 7.03384i | 0.173164 | − | 0.462793i | ||||
\(232\) | 5.27625 | − | 5.27625i | 0.346403 | − | 0.346403i | ||||
\(233\) | −3.34738 | − | 6.56960i | −0.219294 | − | 0.430389i | 0.754982 | − | 0.655745i | \(-0.227645\pi\) |
−0.974276 | + | 0.225356i | \(0.927645\pi\) | |||||||
\(234\) | −1.41319 | + | 0.848158i | −0.0923830 | + | 0.0554458i | ||||
\(235\) | 0.986424 | + | 1.23013i | 0.0643472 | + | 0.0802447i | ||||
\(236\) | 0.322728 | − | 0.444196i | 0.0210078 | − | 0.0289147i | ||||
\(237\) | −17.7059 | − | 3.60697i | −1.15012 | − | 0.234298i | ||||
\(238\) | 20.4092 | + | 3.23251i | 1.32293 | + | 0.209532i | ||||
\(239\) | 15.6921 | + | 11.4010i | 1.01504 | + | 0.737467i | 0.965259 | − | 0.261294i | \(-0.0841492\pi\) |
0.0497763 | + | 0.998760i | \(0.484149\pi\) | |||||||
\(240\) | −1.18323 | + | 3.68781i | −0.0763772 | + | 0.238047i | ||||
\(241\) | −1.47476 | + | 1.07147i | −0.0949975 | + | 0.0690197i | −0.634270 | − | 0.773112i | \(-0.718699\pi\) |
0.539273 | + | 0.842131i | \(0.318699\pi\) | |||||||
\(242\) | −8.82912 | + | 4.49866i | −0.567557 | + | 0.289185i | ||||
\(243\) | 13.1577 | − | 8.35908i | 0.844069 | − | 0.536235i | ||||
\(244\) | −6.78694 | − | 2.20521i | −0.434489 | − | 0.141174i | ||||
\(245\) | −20.8623 | − | 9.40841i | −1.33284 | − | 0.601081i | ||||
\(246\) | 16.7310 | − | 4.63536i | 1.06673 | − | 0.295540i | ||||
\(247\) | −2.99814 | − | 1.52763i | −0.190767 | − | 0.0972006i | ||||
\(248\) | 2.51231 | − | 0.397911i | 0.159532 | − | 0.0252674i | ||||
\(249\) | 0.309137 | − | 7.03964i | 0.0195908 | − | 0.446119i | ||||
\(250\) | −4.93217 | − | 10.0336i | −0.311938 | − | 0.634582i | ||||
\(251\) | 13.2082i | 0.833692i | 0.908977 | + | 0.416846i | \(0.136865\pi\) | ||||
−0.908977 | + | 0.416846i | \(0.863135\pi\) | |||||||
\(252\) | −12.4245 | + | 0.862506i | −0.782672 | + | 0.0543328i | ||||
\(253\) | 0.362123 | − | 0.710706i | 0.0227665 | − | 0.0446817i | ||||
\(254\) | 0.100115 | + | 0.308121i | 0.00628175 | + | 0.0193332i | ||||
\(255\) | −8.68840 | + | 17.2085i | −0.544089 | + | 1.07764i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 1.31744 | + | 1.31744i | 0.0821794 | + | 0.0821794i | 0.747002 | − | 0.664822i | \(-0.231493\pi\) |
−0.664822 | + | 0.747002i | \(0.731493\pi\) | |||||||
\(258\) | 0.902862 | − | 0.411183i | 0.0562098 | − | 0.0255991i | ||||
\(259\) | 22.7698 | + | 31.3399i | 1.41485 | + | 1.94737i | ||||
\(260\) | −0.323630 | + | 1.18508i | −0.0200707 | + | 0.0734955i | ||||
\(261\) | −14.6946 | + | 16.8869i | −0.909571 | + | 1.04528i | ||||
\(262\) | −1.77666 | + | 11.2174i | −0.109763 | + | 0.693014i | ||||
\(263\) | −4.21352 | + | 26.6031i | −0.259817 | + | 1.64042i | 0.420351 | + | 0.907362i | \(0.361907\pi\) |
−0.680167 | + | 0.733057i | \(0.738093\pi\) | |||||||
\(264\) | −1.41547 | − | 1.12650i | −0.0871162 | − | 0.0693312i | ||||
\(265\) | −13.3630 | + | 10.7156i | −0.820882 | + | 0.658255i | ||||
\(266\) | −14.9455 | − | 20.5707i | −0.916368 | − | 1.26127i | ||||
\(267\) | −6.81321 | − | 14.9602i | −0.416962 | − | 0.915551i | ||||
\(268\) | −6.65867 | − | 6.65867i | −0.406743 | − | 0.406743i | ||||
\(269\) | 3.12783 | − | 9.62647i | 0.190707 | − | 0.586936i | −0.809293 | − | 0.587405i | \(-0.800149\pi\) |
1.00000 | 0.000469431i | \(0.000149425\pi\) | ||||||||
\(270\) | 2.77499 | − | 11.2827i | 0.168881 | − | 0.686644i | ||||
\(271\) | −0.130543 | − | 0.401771i | −0.00792994 | − | 0.0244058i | 0.947013 | − | 0.321194i | \(-0.104084\pi\) |
−0.954943 | + | 0.296789i | \(0.904084\pi\) | |||||||
\(272\) | 2.25970 | − | 4.43491i | 0.137014 | − | 0.268906i | ||||
\(273\) | −3.92515 | + | 0.446211i | −0.237561 | + | 0.0270059i | ||||
\(274\) | − | 10.1098i | − | 0.610754i | ||||||
\(275\) | 5.19857 | − | 0.496114i | 0.313486 | − | 0.0299168i | ||||
\(276\) | −1.32150 | − | 0.0580322i | −0.0795452 | − | 0.00349313i | ||||
\(277\) | −26.8065 | + | 4.24574i | −1.61065 | + | 0.255102i | −0.895892 | − | 0.444271i | \(-0.853463\pi\) |
−0.714757 | + | 0.699373i | \(0.753463\pi\) | |||||||
\(278\) | −18.7251 | − | 9.54090i | −1.12305 | − | 0.572225i | ||||
\(279\) | −7.43617 | + | 1.71282i | −0.445192 | + | 0.102544i | ||||
\(280\) | −6.24449 | + | 6.86879i | −0.373179 | + | 0.410488i | ||||
\(281\) | 11.9782 | + | 3.89197i | 0.714562 | + | 0.232175i | 0.643664 | − | 0.765308i | \(-0.277413\pi\) |
0.0708982 | + | 0.997484i | \(0.477413\pi\) | |||||||
\(282\) | 0.824920 | + | 0.900698i | 0.0491232 | + | 0.0536358i | ||||
\(283\) | 6.90768 | − | 3.51964i | 0.410619 | − | 0.209221i | −0.236464 | − | 0.971640i | \(-0.575989\pi\) |
0.647083 | + | 0.762419i | \(0.275989\pi\) | |||||||
\(284\) | 4.02516 | − | 2.92445i | 0.238849 | − | 0.173534i | ||||
\(285\) | 22.5329 | − | 7.41335i | 1.33474 | − | 0.439129i | ||||
\(286\) | −0.464218 | − | 0.337274i | −0.0274498 | − | 0.0199434i | ||||
\(287\) | 41.1000 | + | 6.50960i | 2.42606 | + | 0.384250i | ||||
\(288\) | −0.727235 | + | 2.91052i | −0.0428527 | + | 0.171504i | ||||
\(289\) | 4.56985 | − | 6.28986i | 0.268815 | − | 0.369992i | ||||
\(290\) | 0.793443 | + | 16.6661i | 0.0465926 | + | 0.978667i | ||||
\(291\) | 1.90339 | + | 2.87729i | 0.111579 | + | 0.168670i | ||||
\(292\) | 6.50840 | + | 12.7735i | 0.380875 | + | 0.747510i | ||||
\(293\) | −3.01356 | + | 3.01356i | −0.176054 | + | 0.176054i | −0.789633 | − | 0.613579i | \(-0.789729\pi\) |
0.613579 | + | 0.789633i | \(0.289729\pi\) | |||||||
\(294\) | −16.6029 | − | 6.21236i | −0.968303 | − | 0.362312i | ||||
\(295\) | 0.249507 | + | 1.20211i | 0.0145269 | + | 0.0699894i | ||||
\(296\) | 8.87450 | − | 2.88350i | 0.515820 | − | 0.167600i | ||||
\(297\) | 4.47026 | + | 3.07731i | 0.259391 | + | 0.178563i | ||||
\(298\) | −2.08673 | − | 13.1751i | −0.120881 | − | 0.763214i | ||||
\(299\) | −0.419573 | −0.0242645 | ||||||||
\(300\) | −4.32187 | − | 7.50476i | −0.249523 | − | 0.433288i | ||||
\(301\) | 2.37788 | 0.137059 | ||||||||
\(302\) | 0.801471 | + | 5.06029i | 0.0461195 | + | 0.291187i | ||||
\(303\) | −11.2444 | + | 19.8627i | −0.645975 | + | 1.14108i | ||||
\(304\) | −5.82500 | + | 1.89266i | −0.334086 | + | 0.108551i | ||||
\(305\) | 13.8573 | − | 7.91228i | 0.793464 | − | 0.453056i | ||||
\(306\) | −5.84143 | + | 13.7423i | −0.333933 | + | 0.785593i | ||||
\(307\) | 13.5058 | − | 13.5058i | 0.770815 | − | 0.770815i | −0.207434 | − | 0.978249i | \(-0.566511\pi\) |
0.978249 | + | 0.207434i | \(0.0665113\pi\) | |||||||
\(308\) | −1.96849 | − | 3.86337i | −0.112165 | − | 0.220136i | ||||
\(309\) | 12.0799 | − | 7.99110i | 0.687199 | − | 0.454598i | ||||
\(310\) | −3.12056 | + | 4.75524i | −0.177236 | + | 0.270079i | ||||
\(311\) | −5.51649 | + | 7.59280i | −0.312811 | + | 0.430548i | −0.936255 | − | 0.351320i | \(-0.885733\pi\) |
0.623444 | + | 0.781868i | \(0.285733\pi\) | |||||||
\(312\) | −0.189948 | + | 0.932422i | −0.0107537 | + | 0.0527880i | ||||
\(313\) | −29.5807 | − | 4.68513i | −1.67200 | − | 0.264819i | −0.752697 | − | 0.658367i | \(-0.771248\pi\) |
−0.919304 | + | 0.393548i | \(0.871248\pi\) | |||||||
\(314\) | 4.15820 | + | 3.02111i | 0.234661 | + | 0.170491i | ||||
\(315\) | 17.2614 | − | 21.8542i | 0.972571 | − | 1.23135i | ||||
\(316\) | −8.44006 | + | 6.13206i | −0.474790 | + | 0.344955i | ||||
\(317\) | −10.3462 | + | 5.27165i | −0.581100 | + | 0.296085i | −0.719725 | − | 0.694260i | \(-0.755732\pi\) |
0.138624 | + | 0.990345i | \(0.455732\pi\) | |||||||
\(318\) | −9.78436 | + | 8.96117i | −0.548680 | + | 0.502518i | ||||
\(319\) | −7.41190 | − | 2.40827i | −0.414987 | − | 0.134837i | ||||
\(320\) | 1.10875 | + | 1.94182i | 0.0619810 | + | 0.108551i | ||||
\(321\) | 5.21172 | + | 18.8113i | 0.290890 | + | 1.04994i | ||||
\(322\) | −2.82494 | − | 1.43938i | −0.157428 | − | 0.0802135i | ||||
\(323\) | −30.1102 | + | 4.76898i | −1.67538 | + | 0.265353i | ||||
\(324\) | 1.57178 | − | 8.86169i | 0.0873211 | − | 0.492316i | ||||
\(325\) | −1.47397 | − | 2.31801i | −0.0817612 | − | 0.128580i | ||||
\(326\) | 22.0317i | 1.22022i | ||||||||
\(327\) | 2.27247 | + | 19.9900i | 0.125668 | + | 1.10545i | ||||
\(328\) | 4.55057 | − | 8.93100i | 0.251263 | − | 0.493132i | ||||
\(329\) | 0.904633 | + | 2.78417i | 0.0498740 | + | 0.153496i | ||||
\(330\) | 3.99293 | − | 0.647517i | 0.219804 | − | 0.0356446i | ||||
\(331\) | 2.94074 | − | 9.05067i | 0.161638 | − | 0.497470i | −0.837135 | − | 0.546996i | \(-0.815771\pi\) |
0.998773 | + | 0.0495264i | \(0.0157712\pi\) | |||||||
\(332\) | −2.87669 | − | 2.87669i | −0.157879 | − | 0.157879i | ||||
\(333\) | −25.9605 | + | 10.4735i | −1.42263 | + | 0.573944i | ||||
\(334\) | −4.04050 | − | 5.56128i | −0.221086 | − | 0.304299i | ||||
\(335\) | 21.0328 | − | 1.00133i | 1.14914 | − | 0.0547086i | ||||
\(336\) | −4.47765 | + | 5.62627i | −0.244276 | + | 0.306938i | ||||
\(337\) | 0.877532 | − | 5.54052i | 0.0478022 | − | 0.301811i | −0.952191 | − | 0.305503i | \(-0.901175\pi\) |
0.999993 | + | 0.00369222i | \(0.00117527\pi\) | |||||||
\(338\) | 1.98643 | − | 12.5418i | 0.108048 | − | 0.682186i | ||||
\(339\) | −0.545809 | + | 0.685821i | −0.0296443 | + | 0.0372487i | ||||
\(340\) | 3.93879 | + | 10.4096i | 0.213611 | + | 0.564539i | ||||
\(341\) | −1.56155 | − | 2.14928i | −0.0845625 | − | 0.116390i | ||||
\(342\) | 17.0398 | − | 6.87453i | 0.921408 | − | 0.371732i | ||||
\(343\) | −9.49577 | − | 9.49577i | −0.512723 | − | 0.512723i | ||||
\(344\) | 0.176999 | − | 0.544747i | 0.00954314 | − | 0.0293708i | ||||
\(345\) | 2.08377 | − | 2.09919i | 0.112186 | − | 0.113017i | ||||
\(346\) | −1.48717 | − | 4.57705i | −0.0799509 | − | 0.246064i | ||||
\(347\) | 12.4125 | − | 24.3609i | 0.666339 | − | 1.30776i | −0.272084 | − | 0.962274i | \(-0.587713\pi\) |
0.938423 | − | 0.345490i | \(-0.112287\pi\) | |||||||
\(348\) | 1.45981 | + | 12.8414i | 0.0782541 | + | 0.688372i | ||||
\(349\) | 10.5897i | 0.566853i | 0.958994 | + | 0.283426i | \(0.0914711\pi\) | ||||
−0.958994 | + | 0.283426i | \(0.908529\pi\) | |||||||
\(350\) | −1.97198 | − | 20.6635i | −0.105407 | − | 1.10451i | ||||
\(351\) | 0.374758 | − | 2.83001i | 0.0200031 | − | 0.151055i | ||||
\(352\) | −1.03158 | + | 0.163386i | −0.0549834 | + | 0.00870851i | ||||
\(353\) | −1.13374 | − | 0.577670i | −0.0603430 | − | 0.0307463i | 0.423559 | − | 0.905869i | \(-0.360781\pi\) |
−0.483902 | + | 0.875122i | \(0.660781\pi\) | |||||||
\(354\) | 0.253911 | + | 0.916471i | 0.0134952 | + | 0.0487099i | ||||
\(355\) | −1.21586 | + | 11.0586i | −0.0645314 | + | 0.586931i | ||||
\(356\) | −9.02633 | − | 2.93283i | −0.478394 | − | 0.155440i | ||||
\(357\) | −26.3936 | + | 24.1730i | −1.39690 | + | 1.27937i | ||||
\(358\) | 11.5869 | − | 5.90384i | 0.612389 | − | 0.312028i | ||||
\(359\) | −23.0178 | + | 16.7234i | −1.21483 | + | 0.882626i | −0.995660 | − | 0.0930604i | \(-0.970335\pi\) |
−0.219170 | + | 0.975687i | \(0.570335\pi\) | |||||||
\(360\) | −3.72170 | − | 5.58113i | −0.196151 | − | 0.294151i | ||||
\(361\) | 14.9771 | + | 10.8815i | 0.788269 | + | 0.572711i | ||||
\(362\) | 6.60900 | + | 1.04676i | 0.347361 | + | 0.0550166i | ||||
\(363\) | 3.42603 | − | 16.8177i | 0.179820 | − | 0.882702i | ||||
\(364\) | −1.34061 | + | 1.84519i | −0.0702671 | + | 0.0967143i | ||||
\(365\) | −30.9239 | − | 8.44491i | −1.61863 | − | 0.442027i | ||||
\(366\) | 10.3088 | − | 6.81950i | 0.538849 | − | 0.356461i | ||||
\(367\) | −14.8476 | − | 29.1400i | −0.775036 | − | 1.52109i | −0.851696 | − | 0.524037i | \(-0.824425\pi\) |
0.0766594 | − | 0.997057i | \(-0.475575\pi\) | |||||||
\(368\) | −0.540022 | + | 0.540022i | −0.0281506 | + | 0.0281506i | ||||
\(369\) | −11.7634 | + | 27.6741i | −0.612381 | + | 1.44066i | ||||
\(370\) | −8.57780 | + | 19.0205i | −0.445939 | + | 0.988827i | ||||
\(371\) | −30.2447 | + | 9.82710i | −1.57023 | + | 0.510198i | ||||
\(372\) | −2.17043 | + | 3.83397i | −0.112532 | + | 0.198782i | ||||
\(373\) | −1.19865 | − | 7.56799i | −0.0620639 | − | 0.391856i | −0.999092 | − | 0.0426023i | \(-0.986435\pi\) |
0.937028 | − | 0.349254i | \(-0.113565\pi\) | |||||||
\(374\) | −5.19861 | −0.268814 | ||||||||
\(375\) | 18.9177 | + | 4.13766i | 0.976906 | + | 0.213668i | ||||
\(376\) | 0.705159 | 0.0363658 | ||||||||
\(377\) | 0.641290 | + | 4.04894i | 0.0330281 | + | 0.208531i | ||||
\(378\) | 12.2318 | − | 17.7686i | 0.629136 | − | 0.913916i | ||||
\(379\) | 9.97124 | − | 3.23985i | 0.512188 | − | 0.166420i | −0.0415090 | − | 0.999138i | \(-0.513217\pi\) |
0.553697 | + | 0.832718i | \(0.313217\pi\) | |||||||
\(380\) | 5.63025 | − | 12.4845i | 0.288826 | − | 0.640444i | ||||
\(381\) | −0.525560 | − | 0.196650i | −0.0269253 | − | 0.0100747i | ||||
\(382\) | 3.37657 | − | 3.37657i | 0.172760 | − | 0.172760i | ||||
\(383\) | −12.1180 | − | 23.7829i | −0.619200 | − | 1.21525i | −0.961279 | − | 0.275577i | \(-0.911131\pi\) |
0.342079 | − | 0.939671i | \(-0.388869\pi\) | |||||||
\(384\) | 0.955618 | + | 1.44457i | 0.0487662 | + | 0.0737181i | ||||
\(385\) | 9.35302 | + | 2.55419i | 0.476674 | + | 0.130174i | ||||
\(386\) | −3.57033 | + | 4.91413i | −0.181725 | + | 0.250123i | ||||
\(387\) | −0.416546 | + | 1.66709i | −0.0211742 | + | 0.0847429i | ||||
\(388\) | 1.96727 | + | 0.311585i | 0.0998730 | + | 0.0158183i | ||||
\(389\) | 5.65060 | + | 4.10540i | 0.286497 | + | 0.208152i | 0.721746 | − | 0.692158i | \(-0.243340\pi\) |
−0.435249 | + | 0.900310i | \(0.643340\pi\) | |||||||
\(390\) | −1.25702 | − | 1.71679i | −0.0636515 | − | 0.0869330i | ||||
\(391\) | −3.07530 | + | 2.23434i | −0.155525 | + | 0.112995i | ||||
\(392\) | −9.11924 | + | 4.64649i | −0.460591 | + | 0.234683i | ||||
\(393\) | −13.2861 | − | 14.5066i | −0.670194 | − | 0.731759i | ||||
\(394\) | 12.7234 | + | 4.13408i | 0.640996 | + | 0.208272i | ||||
\(395\) | 2.54946 | − | 23.1880i | 0.128277 | − | 1.16672i | ||||
\(396\) | 3.05336 | − | 0.703302i | 0.153437 | − | 0.0353422i | ||||
\(397\) | −16.3171 | − | 8.31400i | −0.818934 | − | 0.417268i | −0.00625557 | − | 0.999980i | \(-0.501991\pi\) |
−0.812678 | + | 0.582713i | \(0.801991\pi\) | |||||||
\(398\) | 3.30318 | − | 0.523173i | 0.165574 | − | 0.0262243i | ||||
\(399\) | 43.9981 | + | 1.93212i | 2.20266 | + | 0.0967272i | ||||
\(400\) | −4.88056 | − | 1.08634i | −0.244028 | − | 0.0543170i | ||||
\(401\) | 1.24697i | 0.0622709i | 0.999515 | + | 0.0311355i | \(0.00991233\pi\) | ||||
−0.999515 | + | 0.0311355i | \(0.990088\pi\) | |||||||
\(402\) | 16.2060 | − | 1.84229i | 0.808280 | − | 0.0918853i | ||||
\(403\) | −0.634427 | + | 1.24513i | −0.0316030 | + | 0.0620245i | ||||
\(404\) | 4.07217 | + | 12.5329i | 0.202598 | + | 0.623533i | ||||
\(405\) | 12.2978 | + | 15.9300i | 0.611083 | + | 0.791566i | ||||
\(406\) | −9.57250 | + | 29.4611i | −0.475075 | + | 1.46213i | ||||
\(407\) | −6.89137 | − | 6.89137i | −0.341593 | − | 0.341593i | ||||
\(408\) | 3.57315 | + | 7.84581i | 0.176897 | + | 0.388425i | ||||
\(409\) | −4.28708 | − | 5.90066i | −0.211982 | − | 0.291769i | 0.689764 | − | 0.724034i | \(-0.257714\pi\) |
−0.901746 | + | 0.432266i | \(0.857714\pi\) | |||||||
\(410\) | 7.93191 | + | 20.9628i | 0.391729 | + | 1.03528i | ||||
\(411\) | 13.7012 | + | 10.9041i | 0.675832 | + | 0.537859i | ||||
\(412\) | 1.30814 | − | 8.25928i | 0.0644475 | − | 0.406905i | ||||
\(413\) | −0.356576 | + | 2.25133i | −0.0175460 | + | 0.110781i | ||||
\(414\) | 1.50398 | − | 1.72837i | 0.0739166 | − | 0.0849447i | ||||
\(415\) | 9.08660 | − | 0.432597i | 0.446044 | − | 0.0212353i | ||||
\(416\) | 0.322924 | + | 0.444466i | 0.0158326 | + | 0.0217918i | ||||
\(417\) | 33.1265 | − | 15.0865i | 1.62221 | − | 0.738791i | ||||
\(418\) | 4.52332 | + | 4.52332i | 0.221243 | + | 0.221243i | ||||
\(419\) | −5.54251 | + | 17.0581i | −0.270769 | + | 0.833343i | 0.719538 | + | 0.694453i | \(0.244353\pi\) |
−0.990308 | + | 0.138890i | \(0.955647\pi\) | |||||||
\(420\) | −2.57378 | − | 15.8713i | −0.125587 | − | 0.774439i | ||||
\(421\) | −9.83501 | − | 30.2690i | −0.479329 | − | 1.47522i | −0.840029 | − | 0.542541i | \(-0.817462\pi\) |
0.360700 | − | 0.932682i | \(-0.382538\pi\) | |||||||
\(422\) | 6.69779 | − | 13.1451i | 0.326043 | − | 0.639896i | ||||
\(423\) | −2.11040 | + | 0.146503i | −0.102611 | + | 0.00712323i | ||||
\(424\) | 7.66021i | 0.372012i | ||||||||
\(425\) | −23.1476 | − | 9.14079i | −1.12283 | − | 0.443394i | ||||
\(426\) | −0.378067 | + | 8.60930i | −0.0183174 | + | 0.417122i | ||||
\(427\) | 29.2611 | − | 4.63450i | 1.41604 | − | 0.224279i | ||||
\(428\) | 10.0415 | + | 5.11639i | 0.485373 | + | 0.247310i | ||||
\(429\) | 0.957780 | − | 0.265356i | 0.0462420 | − | 0.0128115i | ||||
\(430\) | 0.635070 | + | 1.11224i | 0.0306258 | + | 0.0536369i | ||||
\(431\) | −9.09895 | − | 2.95643i | −0.438281 | − | 0.142406i | 0.0815614 | − | 0.996668i | \(-0.474009\pi\) |
−0.519842 | + | 0.854262i | \(0.674009\pi\) | |||||||
\(432\) | −3.16010 | − | 4.12478i | −0.152040 | − | 0.198453i | ||||
\(433\) | 15.4738 | − | 7.88429i | 0.743622 | − | 0.378895i | −0.0407625 | − | 0.999169i | \(-0.512979\pi\) |
0.784385 | + | 0.620274i | \(0.212979\pi\) | |||||||
\(434\) | −8.54306 | + | 6.20690i | −0.410080 | + | 0.297941i | ||||
\(435\) | −23.4424 | − | 16.9002i | −1.12398 | − | 0.810304i | ||||
\(436\) | 9.39721 | + | 6.82747i | 0.450045 | + | 0.326977i | ||||
\(437\) | 4.61993 | + | 0.731725i | 0.221001 | + | 0.0350031i | ||||
\(438\) | −24.3309 | − | 4.95657i | −1.16258 | − | 0.236834i | ||||
\(439\) | −13.1783 | + | 18.1384i | −0.628967 | + | 0.865699i | −0.997967 | − | 0.0637305i | \(-0.979700\pi\) |
0.369000 | + | 0.929429i | \(0.379700\pi\) | |||||||
\(440\) | 1.28133 | − | 1.95255i | 0.0610851 | − | 0.0930841i | ||||
\(441\) | 26.3267 | − | 15.8006i | 1.25365 | − | 0.752409i | ||||
\(442\) | 1.24146 | + | 2.43650i | 0.0590502 | + | 0.115892i | ||||
\(443\) | 6.92607 | − | 6.92607i | 0.329068 | − | 0.329068i | −0.523164 | − | 0.852232i | \(-0.675249\pi\) |
0.852232 | + | 0.523164i | \(0.175249\pi\) | |||||||
\(444\) | −5.66391 | + | 15.1372i | −0.268797 | + | 0.718379i | ||||
\(445\) | 18.4295 | − | 10.5230i | 0.873643 | − | 0.498837i | ||||
\(446\) | −3.79910 | + | 1.23440i | −0.179893 | + | 0.0584506i | ||||
\(447\) | 20.1062 | + | 11.3822i | 0.950991 | + | 0.538361i | ||||
\(448\) | 0.649434 | + | 4.10037i | 0.0306829 | + | 0.193724i | ||||
\(449\) | 24.5105 | 1.15672 | 0.578362 | − | 0.815780i | \(-0.303692\pi\) | ||||
0.578362 | + | 0.815780i | \(0.303692\pi\) | |||||||
\(450\) | 14.8322 | + | 2.23721i | 0.699198 | + | 0.105463i | ||||
\(451\) | −10.4689 | −0.492963 | ||||||||
\(452\) | 0.0791636 | + | 0.499819i | 0.00372354 | + | 0.0235095i | ||||
\(453\) | −7.72237 | − | 4.37168i | −0.362829 | − | 0.205400i | ||||
\(454\) | 7.65134 | − | 2.48607i | 0.359095 | − | 0.116677i | ||||
\(455\) | −1.03645 | − | 4.99356i | −0.0485896 | − | 0.234102i | ||||
\(456\) | 3.71765 | − | 9.93566i | 0.174095 | − | 0.465280i | ||||
\(457\) | −10.0260 | + | 10.0260i | −0.468998 | + | 0.468998i | −0.901590 | − | 0.432592i | \(-0.857599\pi\) |
0.432592 | + | 0.901590i | \(0.357599\pi\) | |||||||
\(458\) | 5.12329 | + | 10.0550i | 0.239396 | + | 0.469840i | ||||
\(459\) | −12.3237 | − | 22.7386i | −0.575223 | − | 1.06134i | ||||
\(460\) | −0.0812085 | − | 1.70577i | −0.00378637 | − | 0.0795318i | ||||
\(461\) | 12.2612 | − | 16.8761i | 0.571060 | − | 0.785996i | −0.421620 | − | 0.906773i | \(-0.638538\pi\) |
0.992680 | + | 0.120776i | \(0.0385384\pi\) | |||||||
\(462\) | 7.35896 | + | 1.49913i | 0.342370 | + | 0.0697459i | ||||
\(463\) | 19.2040 | + | 3.04161i | 0.892485 | + | 0.141356i | 0.585800 | − | 0.810456i | \(-0.300780\pi\) |
0.306685 | + | 0.951811i | \(0.400780\pi\) | |||||||
\(464\) | 6.03668 | + | 4.38590i | 0.280246 | + | 0.203610i | ||||
\(465\) | −3.07878 | − | 9.35797i | −0.142775 | − | 0.433966i | ||||
\(466\) | 5.96507 | − | 4.33388i | 0.276327 | − | 0.200763i | ||||
\(467\) | −12.2941 | + | 6.26414i | −0.568902 | + | 0.289870i | −0.714685 | − | 0.699447i | \(-0.753430\pi\) |
0.145783 | + | 0.989317i | \(0.453430\pi\) | |||||||
\(468\) | −1.05879 | − | 1.26311i | −0.0489425 | − | 0.0583872i | ||||
\(469\) | 37.1802 | + | 12.0806i | 1.71682 | + | 0.557829i | ||||
\(470\) | −1.06067 | + | 1.16671i | −0.0489252 | + | 0.0538165i | ||||
\(471\) | −8.57924 | + | 2.37690i | −0.395311 | + | 0.109522i | ||||
\(472\) | 0.489213 | + | 0.249267i | 0.0225179 | + | 0.0114734i | ||||
\(473\) | −0.590869 | + | 0.0935844i | −0.0271682 | + | 0.00430302i | ||||
\(474\) | 0.792740 | − | 18.0522i | 0.0364118 | − | 0.829165i | ||||
\(475\) | 12.1874 | + | 28.0942i | 0.559196 | + | 1.28905i | ||||
\(476\) | 20.6636i | 0.947116i | ||||||||
\(477\) | −1.59148 | − | 22.9254i | −0.0728687 | − | 1.04968i | ||||
\(478\) | −8.80581 | + | 17.2824i | −0.402768 | + | 0.790477i | ||||
\(479\) | −2.22757 | − | 6.85575i | −0.101780 | − | 0.313247i | 0.887181 | − | 0.461421i | \(-0.152660\pi\) |
−0.988961 | + | 0.148174i | \(0.952660\pi\) | |||||||
\(480\) | −3.82751 | − | 0.591761i | −0.174701 | − | 0.0270101i | ||||
\(481\) | −1.58417 | + | 4.87557i | −0.0722319 | + | 0.222307i | ||||
\(482\) | −1.28899 | − | 1.28899i | −0.0587117 | − | 0.0587117i | ||||
\(483\) | 4.99761 | − | 2.27602i | 0.227399 | − | 0.103562i | ||||
\(484\) | −5.82445 | − | 8.01667i | −0.264748 | − | 0.364394i | ||||
\(485\) | −3.47462 | + | 2.78625i | −0.157774 | + | 0.126517i | ||||
\(486\) | 10.3145 | + | 11.6881i | 0.467875 | + | 0.530182i | ||||
\(487\) | 2.37355 | − | 14.9860i | 0.107556 | − | 0.679080i | −0.873714 | − | 0.486440i | \(-0.838295\pi\) |
0.981270 | − | 0.192640i | \(-0.0617048\pi\) | |||||||
\(488\) | 1.11635 | − | 7.04836i | 0.0505348 | − | 0.319064i | ||||
\(489\) | −29.8583 | − | 23.7627i | −1.35024 | − | 1.07458i | ||||
\(490\) | 6.02900 | − | 22.0772i | 0.272362 | − | 0.997347i | ||||
\(491\) | 15.9838 | + | 21.9998i | 0.721340 | + | 0.992839i | 0.999478 | + | 0.0322980i | \(0.0102826\pi\) |
−0.278139 | + | 0.960541i | \(0.589717\pi\) | |||||||
\(492\) | 7.19559 | + | 15.7998i | 0.324402 | + | 0.712312i | ||||
\(493\) | 26.2621 | + | 26.2621i | 1.18279 | + | 1.18279i | ||||
\(494\) | 1.03981 | − | 3.20020i | 0.0467831 | − | 0.143984i | ||||
\(495\) | −3.42911 | + | 6.10979i | −0.154127 | + | 0.274615i | ||||
\(496\) | 0.786024 | + | 2.41913i | 0.0352935 | + | 0.108622i | ||||
\(497\) | −9.37724 | + | 18.4039i | −0.420627 | + | 0.825526i | ||||
\(498\) | 7.00133 | − | 0.795911i | 0.313737 | − | 0.0356656i | ||||
\(499\) | − | 7.08605i | − | 0.317215i | −0.987342 | − | 0.158608i | \(-0.949300\pi\) | ||
0.987342 | − | 0.158608i | \(-0.0507005\pi\) | |||||||
\(500\) | 9.13854 | − | 6.44105i | 0.408688 | − | 0.288053i | ||||
\(501\) | 11.8949 | + | 0.522348i | 0.531423 | + | 0.0233368i | ||||
\(502\) | −13.0456 | + | 2.06621i | −0.582252 | + | 0.0922196i | ||||
\(503\) | −35.4598 | − | 18.0677i | −1.58108 | − | 0.805598i | −0.581110 | − | 0.813825i | \(-0.697381\pi\) |
−0.999966 | + | 0.00822664i | \(0.997381\pi\) | |||||||
\(504\) | −2.79551 | − | 12.1366i | −0.124522 | − | 0.540609i | ||||
\(505\) | −26.8613 | − | 12.1138i | −1.19531 | − | 0.539059i | ||||
\(506\) | 0.758604 | + | 0.246485i | 0.0337241 | + | 0.0109576i | ||||
\(507\) | 14.8548 | + | 16.2193i | 0.659723 | + | 0.720326i | ||||
\(508\) | −0.288666 | + | 0.147083i | −0.0128075 | + | 0.00652575i | ||||
\(509\) | 12.2593 | − | 8.90692i | 0.543385 | − | 0.394792i | −0.281956 | − | 0.959427i | \(-0.590983\pi\) |
0.825341 | + | 0.564635i | \(0.190983\pi\) | |||||||
\(510\) | −18.3558 | − | 5.88943i | −0.812808 | − | 0.260788i | ||||
\(511\) | −48.1490 | − | 34.9823i | −2.12999 | − | 1.54753i | ||||
\(512\) | 0.987688 | + | 0.156434i | 0.0436501 | + | 0.00691349i | ||||
\(513\) | −9.06194 | + | 30.5078i | −0.400095 | + | 1.34695i | ||||
\(514\) | −1.09512 | + | 1.50731i | −0.0483038 | + | 0.0664845i | ||||
\(515\) | 11.6976 | + | 14.5876i | 0.515460 | + | 0.642808i | ||||
\(516\) | 0.547359 | + | 0.827424i | 0.0240962 | + | 0.0364253i | ||||
\(517\) | −0.334362 | − | 0.656222i | −0.0147052 | − | 0.0288606i | ||||
\(518\) | −27.3921 | + | 27.3921i | −1.20354 | + | 1.20354i | ||||
\(519\) | 7.80704 | + | 2.92118i | 0.342691 | + | 0.128225i | ||||
\(520\) | −1.22112 | − | 0.134258i | −0.0535495 | − | 0.00588762i | ||||
\(521\) | −8.21939 | + | 2.67064i | −0.360098 | + | 0.117003i | −0.483478 | − | 0.875357i | \(-0.660627\pi\) |
0.123380 | + | 0.992360i | \(0.460627\pi\) | |||||||
\(522\) | −18.9778 | − | 11.8719i | −0.830634 | − | 0.519621i | ||||
\(523\) | 5.18122 | + | 32.7129i | 0.226559 | + | 1.43044i | 0.794448 | + | 0.607332i | \(0.207760\pi\) |
−0.567890 | + | 0.823105i | \(0.692240\pi\) | |||||||
\(524\) | −11.3572 | −0.496143 | ||||||||
\(525\) | 30.1310 | + | 19.6145i | 1.31503 | + | 0.856047i | ||||
\(526\) | −26.9347 | −1.17441 | ||||||||
\(527\) | 1.98057 | + | 12.5048i | 0.0862749 | + | 0.544718i | ||||
\(528\) | 0.891202 | − | 1.57427i | 0.0387846 | − | 0.0685112i | ||||
\(529\) | −21.3196 | + | 6.92716i | −0.926939 | + | 0.301181i | ||||
\(530\) | −12.6741 | − | 11.5222i | −0.550528 | − | 0.500491i | ||||
\(531\) | −1.51590 | − | 0.644366i | −0.0657846 | − | 0.0279631i | ||||
\(532\) | 17.9795 | − | 17.9795i | 0.779509 | − | 0.779509i | ||||
\(533\) | 2.50004 | + | 4.90661i | 0.108289 | + | 0.212529i | ||||
\(534\) | 13.7102 | − | 9.06962i | 0.593299 | − | 0.392481i | ||||
\(535\) | −23.5693 | + | 8.91817i | −1.01899 | + | 0.385566i | ||||
\(536\) | 5.53505 | − | 7.61834i | 0.239078 | − | 0.329062i | ||||
\(537\) | −4.49616 | + | 22.0708i | −0.194024 | + | 0.952427i | ||||
\(538\) | 9.99725 | + | 1.58341i | 0.431012 | + | 0.0682656i | ||||
\(539\) | 8.64805 | + | 6.28318i | 0.372498 | + | 0.270636i | ||||
\(540\) | 11.5779 | + | 0.975822i | 0.498233 | + | 0.0419927i | ||||
\(541\) | −22.5154 | + | 16.3584i | −0.968012 | + | 0.703302i | −0.954998 | − | 0.296613i | \(-0.904143\pi\) |
−0.0130143 | + | 0.999915i | \(0.504143\pi\) | |||||||
\(542\) | 0.376403 | − | 0.191787i | 0.0161679 | − | 0.00823795i | ||||
\(543\) | −8.54688 | + | 7.82780i | −0.366782 | + | 0.335923i | ||||
\(544\) | 4.73381 | + | 1.53811i | 0.202960 | + | 0.0659458i | ||||
\(545\) | −25.4312 | + | 5.27845i | −1.08935 | + | 0.226104i | ||||
\(546\) | −1.05475 | − | 3.80702i | −0.0451390 | − | 0.162926i | ||||
\(547\) | −25.7853 | − | 13.1383i | −1.10250 | − | 0.561752i | −0.194577 | − | 0.980887i | \(-0.562333\pi\) |
−0.907924 | + | 0.419135i | \(0.862333\pi\) | |||||||
\(548\) | 9.98531 | − | 1.58152i | 0.426551 | − | 0.0675591i | ||||
\(549\) | −1.87665 | + | 21.3262i | −0.0800935 | + | 0.910181i | ||||
\(550\) | 1.30324 | + | 5.05696i | 0.0555704 | + | 0.215630i | ||||
\(551\) | − | 45.7014i | − | 1.94695i | ||||||
\(552\) | −0.149411 | − | 1.31431i | −0.00635935 | − | 0.0559408i | ||||
\(553\) | 19.6624 | − | 38.5897i | 0.836131 | − | 1.64100i | ||||
\(554\) | −8.38693 | − | 25.8123i | −0.356327 | − | 1.09666i | ||||
\(555\) | −16.5256 | − | 32.1399i | −0.701474 | − | 1.36426i | ||||
\(556\) | 6.49419 | − | 19.9871i | 0.275415 | − | 0.847640i | ||||
\(557\) | 2.89425 | + | 2.89425i | 0.122633 | + | 0.122633i | 0.765760 | − | 0.643127i | \(-0.222363\pi\) |
−0.643127 | + | 0.765760i | \(0.722363\pi\) | |||||||
\(558\) | −2.85501 | − | 7.07667i | −0.120862 | − | 0.299579i | ||||
\(559\) | 0.184964 | + | 0.254582i | 0.00782316 | + | 0.0107677i | ||||
\(560\) | −7.76107 | − | 5.09309i | −0.327965 | − | 0.215222i | ||||
\(561\) | 5.60706 | − | 7.04539i | 0.236730 | − | 0.297456i | ||||
\(562\) | −1.97024 | + | 12.4396i | −0.0831096 | + | 0.524733i | ||||
\(563\) | 2.55888 | − | 16.1561i | 0.107844 | − | 0.680900i | −0.873236 | − | 0.487297i | \(-0.837983\pi\) |
0.981080 | − | 0.193603i | \(-0.0620172\pi\) | |||||||
\(564\) | −0.760563 | + | 0.955664i | −0.0320255 | + | 0.0402407i | ||||
\(565\) | −0.946045 | − | 0.620829i | −0.0398004 | − | 0.0261185i | ||||
\(566\) | 4.55691 | + | 6.27205i | 0.191541 | + | 0.263634i | ||||
\(567\) | 10.8879 | + | 35.7417i | 0.457249 | + | 1.50101i | ||||
\(568\) | 3.51812 | + | 3.51812i | 0.147617 | + | 0.147617i | ||||
\(569\) | 7.86991 | − | 24.2211i | 0.329924 | − | 1.01540i | −0.639245 | − | 0.769003i | \(-0.720753\pi\) |
0.969169 | − | 0.246398i | \(-0.0792470\pi\) | |||||||
\(570\) | 10.8470 | + | 21.0958i | 0.454331 | + | 0.883606i | ||||
\(571\) | 7.91581 | + | 24.3624i | 0.331266 | + | 1.01953i | 0.968532 | + | 0.248889i | \(0.0800653\pi\) |
−0.637266 | + | 0.770644i | \(0.719935\pi\) | |||||||
\(572\) | 0.260502 | − | 0.511264i | 0.0108921 | − | 0.0213770i | ||||
\(573\) | 0.934215 | + | 8.21793i | 0.0390274 | + | 0.343309i | ||||
\(574\) | 41.6123i | 1.73686i | ||||||||
\(575\) | 2.94441 | + | 2.43138i | 0.122790 | + | 0.101396i | ||||
\(576\) | −2.98845 | − | 0.262976i | −0.124519 | − | 0.0109573i | ||||
\(577\) | 32.5663 | − | 5.15800i | 1.35575 | − | 0.214730i | 0.564103 | − | 0.825704i | \(-0.309222\pi\) |
0.791651 | + | 0.610974i | \(0.209222\pi\) | |||||||
\(578\) | 6.92730 | + | 3.52964i | 0.288138 | + | 0.146814i | ||||
\(579\) | −2.80901 | − | 10.1389i | −0.116738 | − | 0.421358i | ||||
\(580\) | −16.3368 | + | 3.39083i | −0.678348 | + | 0.140796i | ||||
\(581\) | 16.0626 | + | 5.21907i | 0.666391 | + | 0.216523i | ||||
\(582\) | −2.54411 | + | 2.33007i | −0.105457 | + | 0.0965844i | ||||
\(583\) | 7.12860 | − | 3.63220i | 0.295236 | − | 0.150430i | ||||
\(584\) | −11.5981 | + | 8.42648i | −0.479931 | + | 0.348690i | ||||
\(585\) | 3.68245 | + | 0.148110i | 0.152250 | + | 0.00612360i | ||||
\(586\) | −3.44789 | − | 2.50504i | −0.142431 | − | 0.103482i | ||||
\(587\) | −3.14939 | − | 0.498814i | −0.129989 | − | 0.0205882i | 0.0911008 | − | 0.995842i | \(-0.470961\pi\) |
−0.221090 | + | 0.975253i | \(0.570961\pi\) | |||||||
\(588\) | 3.53860 | − | 17.3704i | 0.145930 | − | 0.716342i | ||||
\(589\) | 9.15717 | − | 12.6038i | 0.377315 | − | 0.519329i | ||||
\(590\) | −1.14828 | + | 0.434486i | −0.0472738 | + | 0.0178875i | ||||
\(591\) | −19.3258 | + | 12.7844i | −0.794956 | + | 0.525881i | ||||
\(592\) | 4.23628 | + | 8.31416i | 0.174110 | + | 0.341710i | ||||
\(593\) | 24.3096 | − | 24.3096i | 0.998277 | − | 0.998277i | −0.00172155 | − | 0.999999i | \(-0.500548\pi\) |
0.999999 | + | 0.00172155i | \(0.000547985\pi\) | |||||||
\(594\) | −2.34012 | + | 4.89662i | −0.0960162 | + | 0.200911i | ||||
\(595\) | −34.1888 | − | 31.0814i | −1.40160 | − | 1.27421i | ||||
\(596\) | 12.6865 | − | 4.12209i | 0.519658 | − | 0.168847i | ||||
\(597\) | −2.85368 | + | 5.04090i | −0.116793 | + | 0.206310i | ||||
\(598\) | −0.0656357 | − | 0.414407i | −0.00268404 | − | 0.0169464i | ||||
\(599\) | −19.8769 | −0.812148 | −0.406074 | − | 0.913840i | \(-0.633103\pi\) | ||||
−0.406074 | + | 0.913840i | \(0.633103\pi\) | |||||||
\(600\) | 6.73628 | − | 5.44266i | 0.275007 | − | 0.222196i | ||||
\(601\) | 9.21318 | 0.375814 | 0.187907 | − | 0.982187i | \(-0.439830\pi\) | ||||
0.187907 | + | 0.982187i | \(0.439830\pi\) | |||||||
\(602\) | 0.371983 | + | 2.34861i | 0.0151609 | + | 0.0957222i | ||||
\(603\) | −14.9825 | + | 23.9501i | −0.610135 | + | 0.975324i | ||||
\(604\) | −4.87261 | + | 1.58321i | −0.198264 | + | 0.0644198i | ||||
\(605\) | 22.0248 | + | 2.42157i | 0.895436 | + | 0.0984506i | ||||
\(606\) | −21.3772 | − | 7.99876i | −0.868389 | − | 0.324927i | ||||
\(607\) | −10.0691 | + | 10.0691i | −0.408693 | + | 0.408693i | −0.881283 | − | 0.472589i | \(-0.843319\pi\) |
0.472589 | + | 0.881283i | \(0.343319\pi\) | |||||||
\(608\) | −2.78058 | − | 5.45720i | −0.112768 | − | 0.221319i | ||||
\(609\) | −29.6024 | − | 44.7490i | −1.19955 | − | 1.81332i | ||||
\(610\) | 9.98262 | + | 12.4489i | 0.404184 | + | 0.504041i | ||||
\(611\) | −0.227713 | + | 0.313420i | −0.00921227 | + | 0.0126796i | ||||
\(612\) | −14.4869 | − | 3.61975i | −0.585597 | − | 0.146320i | ||||
\(613\) | −35.4154 | − | 5.60925i | −1.43042 | − | 0.226556i | −0.607320 | − | 0.794458i | \(-0.707755\pi\) |
−0.823096 | + | 0.567902i | \(0.807755\pi\) | |||||||
\(614\) | 15.4523 | + | 11.2267i | 0.623602 | + | 0.453074i | ||||
\(615\) | −36.9648 | − | 11.8601i | −1.49056 | − | 0.478245i | ||||
\(616\) | 3.50787 | − | 2.54861i | 0.141336 | − | 0.102687i | ||||
\(617\) | −26.2483 | + | 13.3742i | −1.05671 | + | 0.538423i | −0.893915 | − | 0.448236i | \(-0.852052\pi\) |
−0.162800 | + | 0.986659i | \(0.552052\pi\) | |||||||
\(618\) | 9.78242 | + | 10.6810i | 0.393507 | + | 0.429655i | ||||
\(619\) | 8.70767 | + | 2.82929i | 0.349991 | + | 0.113719i | 0.478736 | − | 0.877959i | \(-0.341095\pi\) |
−0.128745 | + | 0.991678i | \(0.541095\pi\) | |||||||
\(620\) | −5.18486 | − | 2.33825i | −0.208229 | − | 0.0939066i | ||||
\(621\) | 0.720217 | + | 3.90243i | 0.0289013 | + | 0.156599i | ||||
\(622\) | −8.36229 | − | 4.26080i | −0.335297 | − | 0.170842i | ||||
\(623\) | 38.9159 | − | 6.16368i | 1.55913 | − | 0.246942i | ||||
\(624\) | −0.950656 | − | 0.0417469i | −0.0380567 | − | 0.00167121i | ||||
\(625\) | −3.08884 | + | 24.8084i | −0.123554 | + | 0.992338i | ||||
\(626\) | − | 29.9495i | − | 1.19702i | ||||||
\(627\) | −11.0089 | + | 1.25149i | −0.439654 | + | 0.0499798i | ||||
\(628\) | −2.33343 | + | 4.57961i | −0.0931139 | + | 0.182746i | ||||
\(629\) | 14.3524 | + | 44.1721i | 0.572267 | + | 1.76126i | ||||
\(630\) | 24.2855 | + | 13.6302i | 0.967556 | + | 0.543038i | ||||
\(631\) | 4.36435 | − | 13.4321i | 0.173742 | − | 0.534723i | −0.825832 | − | 0.563916i | \(-0.809294\pi\) |
0.999574 | + | 0.0291939i | \(0.00929402\pi\) | |||||||
\(632\) | −7.37688 | − | 7.37688i | −0.293437 | − | 0.293437i | ||||
\(633\) | 10.5909 | + | 23.2551i | 0.420949 | + | 0.924307i | ||||
\(634\) | −6.82525 | − | 9.39415i | −0.271065 | − | 0.373089i | ||||
\(635\) | 0.190846 | − | 0.698846i | 0.00757349 | − | 0.0277329i | ||||
\(636\) | −10.3815 | − | 8.26206i | −0.411651 | − | 0.327612i | ||||
\(637\) | 0.879613 | − | 5.55366i | 0.0348515 | − | 0.220044i | ||||
\(638\) | 1.21915 | − | 7.69739i | 0.0482665 | − | 0.304742i | ||||
\(639\) | −11.2599 | − | 9.79810i | −0.445436 | − | 0.387607i | ||||
\(640\) | −1.74447 | + | 1.39887i | −0.0689562 | + | 0.0552951i | ||||
\(641\) | 18.7007 | + | 25.7393i | 0.738632 | + | 1.01664i | 0.998696 | + | 0.0510482i | \(0.0162562\pi\) |
−0.260064 | + | 0.965591i | \(0.583744\pi\) | |||||||
\(642\) | −17.7644 | + | 8.09029i | −0.701105 | + | 0.319298i | ||||
\(643\) | −7.12848 | − | 7.12848i | −0.281120 | − | 0.281120i | 0.552436 | − | 0.833556i | \(-0.313698\pi\) |
−0.833556 | + | 0.552436i | \(0.813698\pi\) | |||||||
\(644\) | 0.979741 | − | 3.01533i | 0.0386072 | − | 0.118821i | ||||
\(645\) | −2.19232 | − | 0.338949i | −0.0863226 | − | 0.0133461i | ||||
\(646\) | −9.42054 | − | 28.9934i | −0.370646 | − | 1.14073i | ||||
\(647\) | 14.2920 | − | 28.0496i | 0.561876 | − | 1.10274i | −0.418978 | − | 0.907996i | \(-0.637612\pi\) |
0.980854 | − | 0.194747i | \(-0.0623885\pi\) | |||||||
\(648\) | 8.99847 | + | 0.166155i | 0.353493 | + | 0.00652719i | ||||
\(649\) | − | 0.573456i | − | 0.0225101i | ||||||
\(650\) | 2.05889 | − | 1.81844i | 0.0807563 | − | 0.0713251i | ||||
\(651\) | 0.802415 | − | 18.2725i | 0.0314491 | − | 0.716156i | ||||
\(652\) | −21.7604 | + | 3.44651i | −0.852203 | + | 0.134976i | ||||
\(653\) | 33.3311 | + | 16.9830i | 1.30435 | + | 0.664598i | 0.961503 | − | 0.274794i | \(-0.0886098\pi\) |
0.342844 | + | 0.939392i | \(0.388610\pi\) | |||||||
\(654\) | −19.3884 | + | 5.37162i | −0.758148 | + | 0.210047i | ||||
\(655\) | 17.0831 | − | 18.7910i | 0.667492 | − | 0.734225i | ||||
\(656\) | 9.53291 | + | 3.09743i | 0.372198 | + | 0.120934i | ||||
\(657\) | 32.9599 | − | 27.6283i | 1.28589 | − | 1.07788i | ||||
\(658\) | −2.60838 | + | 1.32904i | −0.101685 | + | 0.0518112i | ||||
\(659\) | −26.8536 | + | 19.5103i | −1.04607 | + | 0.760012i | −0.971460 | − | 0.237201i | \(-0.923770\pi\) |
−0.0746059 | + | 0.997213i | \(0.523770\pi\) | |||||||
\(660\) | 1.26418 | + | 3.84248i | 0.0492080 | + | 0.149568i | ||||
\(661\) | 1.18106 | + | 0.858090i | 0.0459379 | + | 0.0333758i | 0.610517 | − | 0.792003i | \(-0.290962\pi\) |
−0.564579 | + | 0.825379i | \(0.690962\pi\) | |||||||
\(662\) | 9.39927 | + | 1.48870i | 0.365313 | + | 0.0578599i | ||||
\(663\) | −4.64105 | − | 0.945452i | −0.180244 | − | 0.0367183i | ||||
\(664\) | 2.39126 | − | 3.29129i | 0.0927988 | − | 0.127727i | ||||
\(665\) | 2.70375 | + | 56.7918i | 0.104847 | + | 2.20229i | ||||
\(666\) | −14.4057 | − | 24.0025i | −0.558208 | − | 0.930077i | ||||
\(667\) | −2.58710 | − | 5.07747i | −0.100173 | − | 0.196600i | ||||
\(668\) | 4.86073 | − | 4.86073i | 0.188067 | − | 0.188067i | ||||
\(669\) | 2.42467 | − | 6.48010i | 0.0937433 | − | 0.250535i | ||||
\(670\) | 4.27925 | + | 20.6172i | 0.165322 | + | 0.796510i | ||||
\(671\) | −7.08854 | + | 2.30321i | −0.273650 | + | 0.0889143i | ||||
\(672\) | −6.25746 | − | 3.54239i | −0.241387 | − | 0.136650i | ||||
\(673\) | 4.34867 | + | 27.4564i | 0.167629 | + | 1.05837i | 0.917777 | + | 0.397097i | \(0.129982\pi\) |
−0.750148 | + | 0.661270i | \(0.770018\pi\) | |||||||
\(674\) | 5.60958 | 0.216073 | ||||||||
\(675\) | −19.0296 | + | 17.6883i | −0.732448 | + | 0.680823i | ||||
\(676\) | 12.6982 | 0.488391 | ||||||||
\(677\) | 4.04016 | + | 25.5085i | 0.155276 | + | 0.980373i | 0.935102 | + | 0.354378i | \(0.115307\pi\) |
−0.779827 | + | 0.625996i | \(0.784693\pi\) | |||||||
\(678\) | −0.762761 | − | 0.431803i | −0.0292936 | − | 0.0165833i | ||||
\(679\) | −7.86417 | + | 2.55522i | −0.301799 | + | 0.0980605i | ||||
\(680\) | −9.66526 | + | 5.51871i | −0.370646 | + | 0.211633i | ||||
\(681\) | −4.88326 | + | 13.0508i | −0.187127 | + | 0.500109i | ||||
\(682\) | 1.87854 | − | 1.87854i | 0.0719331 | − | 0.0719331i | ||||
\(683\) | 21.7746 | + | 42.7351i | 0.833183 | + | 1.63521i | 0.770726 | + | 0.637167i | \(0.219894\pi\) |
0.0624575 | + | 0.998048i | \(0.480106\pi\) | |||||||
\(684\) | 9.45551 | + | 15.7546i | 0.361540 | + | 0.602393i | ||||
\(685\) | −12.4028 | + | 18.8999i | −0.473887 | + | 0.722130i | ||||
\(686\) | 7.89339 | − | 10.8643i | 0.301371 | − | 0.414802i | ||||
\(687\) | −19.1528 | − | 3.90172i | −0.730727 | − | 0.148860i | ||||
\(688\) | 0.565729 | + | 0.0896026i | 0.0215682 | + | 0.00341607i | ||||
\(689\) | −3.40470 | − | 2.47366i | −0.129709 | − | 0.0942390i | ||||
\(690\) | 2.39932 | + | 1.72973i | 0.0913405 | + | 0.0658497i | ||||
\(691\) | 18.5633 | − | 13.4870i | 0.706182 | − | 0.513071i | −0.175758 | − | 0.984433i | \(-0.556237\pi\) |
0.881940 | + | 0.471362i | \(0.156237\pi\) | |||||||
\(692\) | 4.28805 | − | 2.18487i | 0.163007 | − | 0.0830563i | ||||
\(693\) | −9.96884 | + | 8.35628i | −0.378685 | + | 0.317429i | ||||
\(694\) | 26.0028 | + | 8.44881i | 0.987051 | + | 0.320712i | ||||
\(695\) | 23.3011 | + | 40.8086i | 0.883861 | + | 1.54796i | ||||
\(696\) | −12.4550 | + | 3.45068i | −0.472104 | + | 0.130798i | ||||
\(697\) | 44.4533 | + | 22.6501i | 1.68379 | + | 0.857934i | ||||
\(698\) | −10.4593 | + | 1.65659i | −0.395891 | + | 0.0627029i | ||||
\(699\) | −0.560275 | + | 12.7585i | −0.0211916 | + | 0.482572i | ||||
\(700\) | 20.1006 | − | 5.18018i | 0.759732 | − | 0.195792i | ||||
\(701\) | − | 1.57804i | − | 0.0596019i | −0.999556 | − | 0.0298009i | \(-0.990513\pi\) | ||
0.999556 | − | 0.0298009i | \(-0.00948734\pi\) | |||||||
\(702\) | 2.85380 | − | 0.0725673i | 0.107710 | − | 0.00273888i | ||||
\(703\) | 25.9462 | − | 50.9223i | 0.978579 | − | 1.92057i | ||||
\(704\) | −0.322749 | − | 0.993320i | −0.0121641 | − | 0.0374372i | ||||
\(705\) | −0.437175 | − | 2.69585i | −0.0164650 | − | 0.101532i | ||||
\(706\) | 0.393202 | − | 1.21015i | 0.0147983 | − | 0.0455446i | ||||
\(707\) | −38.6840 | − | 38.6840i | −1.45486 | − | 1.45486i | ||||
\(708\) | −0.865468 | + | 0.394153i | −0.0325263 | + | 0.0148132i | ||||
\(709\) | 18.8054 | + | 25.8834i | 0.706250 | + | 0.972070i | 0.999870 | + | 0.0161478i | \(0.00514022\pi\) |
−0.293619 | + | 0.955922i | \(0.594860\pi\) | |||||||
\(710\) | −11.1127 | + | 0.529055i | −0.417052 | + | 0.0198551i | ||||
\(711\) | 23.6101 | + | 20.5449i | 0.885449 | + | 0.770494i | ||||
\(712\) | 1.48469 | − | 9.37399i | 0.0556413 | − | 0.351305i | ||||
\(713\) | 0.303887 | − | 1.91867i | 0.0113807 | − | 0.0718546i | ||||
\(714\) | −28.0043 | − | 22.2872i | −1.04803 | − | 0.834076i | ||||
\(715\) | 0.454070 | + | 1.20003i | 0.0169813 | + | 0.0448787i | ||||
\(716\) | 7.64375 | + | 10.5207i | 0.285660 | + | 0.393178i | ||||
\(717\) | −13.9242 | − | 30.5743i | −0.520008 | − | 1.14182i | ||||
\(718\) | −20.1183 | − | 20.1183i | −0.750807 | − | 0.750807i | ||||
\(719\) | 12.0633 | − | 37.1272i | 0.449887 | − | 1.38461i | −0.427148 | − | 0.904182i | \(-0.640482\pi\) |
0.877035 | − | 0.480427i | \(-0.159518\pi\) | |||||||
\(720\) | 4.93021 | − | 4.54896i | 0.183738 | − | 0.169530i | ||||
\(721\) | 10.7277 | + | 33.0165i | 0.399521 | + | 1.22960i | ||||
\(722\) | −8.40460 | + | 16.4950i | −0.312787 | + | 0.613879i | ||||
\(723\) | 3.13715 | − | 0.356631i | 0.116672 | − | 0.0132633i | ||||
\(724\) | 6.69138i | 0.248683i | ||||||||
\(725\) | 18.9629 | − | 32.1302i | 0.704264 | − | 1.19329i | ||||
\(726\) | 17.1466 | + | 0.752973i | 0.636371 | + | 0.0279455i | ||||
\(727\) | −3.64942 | + | 0.578012i | −0.135350 | + | 0.0214373i | −0.223742 | − | 0.974648i | \(-0.571827\pi\) |
0.0883920 | + | 0.996086i | \(0.471827\pi\) | |||||||
\(728\) | −2.03219 | − | 1.03545i | −0.0753181 | − | 0.0383765i | ||||
\(729\) | −26.9651 | + | 1.37224i | −0.998708 | + | 0.0508238i | ||||
\(730\) | 3.50338 | − | 31.8642i | 0.129666 | − | 1.17935i | ||||
\(731\) | 2.71143 | + | 0.880997i | 0.100286 | + | 0.0325849i | ||||
\(732\) | 8.34819 | + | 9.11506i | 0.308558 | + | 0.336902i | ||||
\(733\) | 29.0433 | − | 14.7983i | 1.07274 | − | 0.546588i | 0.173854 | − | 0.984772i | \(-0.444378\pi\) |
0.898885 | + | 0.438184i | \(0.144378\pi\) | |||||||
\(734\) | 26.4585 | − | 19.2233i | 0.976603 | − | 0.709543i | ||||
\(735\) | 23.4173 | + | 31.9826i | 0.863761 | + | 1.17969i | ||||
\(736\) | −0.617851 | − | 0.448895i | −0.0227743 | − | 0.0165465i | ||||
\(737\) | −9.71417 | − | 1.53857i | −0.357826 | − | 0.0566741i | ||||
\(738\) | −29.1736 | − | 7.28944i | −1.07389 | − | 0.268328i | ||||
\(739\) | 24.9769 | − | 34.3778i | 0.918792 | − | 1.26461i | −0.0452823 | − | 0.998974i | \(-0.514419\pi\) |
0.964074 | − | 0.265634i | \(-0.0855813\pi\) | |||||||
\(740\) | −20.1282 | − | 5.49674i | −0.739926 | − | 0.202064i | ||||
\(741\) | 3.21555 | + | 4.86083i | 0.118126 | + | 0.178567i | ||||
\(742\) | −14.4374 | − | 28.3350i | −0.530015 | − | 1.04021i | ||||
\(743\) | −6.31364 | + | 6.31364i | −0.231625 | + | 0.231625i | −0.813371 | − | 0.581746i | \(-0.802370\pi\) |
0.581746 | + | 0.813371i | \(0.302370\pi\) | |||||||
\(744\) | −4.12630 | − | 1.54395i | −0.151277 | − | 0.0566038i | ||||
\(745\) | −12.2623 | + | 27.1906i | −0.449257 | + | 0.996185i | ||||
\(746\) | 7.28731 | − | 2.36779i | 0.266807 | − | 0.0866910i | ||||
\(747\) | −6.47276 | + | 10.3470i | −0.236826 | + | 0.378575i | ||||
\(748\) | −0.813241 | − | 5.13460i | −0.0297350 | − | 0.187740i | ||||
\(749\) | −46.7864 | −1.70954 | ||||||||
\(750\) | −1.12734 | + | 19.3321i | −0.0411645 | + | 0.705908i | ||||
\(751\) | −0.00251959 | −9.19412e−5 | −4.59706e−5 | − | 1.00000i | \(-0.500015\pi\) | ||||
−4.59706e−5 | 1.00000i | \(0.500015\pi\) | ||||||||
\(752\) | 0.110311 | + | 0.696478i | 0.00402264 | + | 0.0253979i | ||||
\(753\) | 11.2703 | − | 19.9085i | 0.410713 | − | 0.725505i | ||||
\(754\) | −3.89877 | + | 1.26679i | −0.141985 | + | 0.0461337i | ||||
\(755\) | 4.70971 | − | 10.4433i | 0.171404 | − | 0.380072i | ||||
\(756\) | 19.4633 | + | 9.30160i | 0.707872 | + | 0.338296i | ||||
\(757\) | −3.39223 | + | 3.39223i | −0.123293 | + | 0.123293i | −0.766061 | − | 0.642768i | \(-0.777786\pi\) |
0.642768 | + | 0.766061i | \(0.277786\pi\) | |||||||
\(758\) | 4.75981 | + | 9.34165i | 0.172884 | + | 0.339304i | ||||
\(759\) | −1.15226 | + | 0.762243i | −0.0418242 | + | 0.0276677i | ||||
\(760\) | 13.2116 | + | 3.60792i | 0.479235 | + | 0.130873i | ||||
\(761\) | 28.8681 | − | 39.7336i | 1.04647 | − | 1.44034i | 0.154638 | − | 0.987971i | \(-0.450579\pi\) |
0.891830 | − | 0.452370i | \(-0.149421\pi\) | |||||||
\(762\) | 0.112013 | − | 0.549853i | 0.00405781 | − | 0.0199191i | ||||
\(763\) | −47.6282 | − | 7.54356i | −1.72426 | − | 0.273095i | ||||
\(764\) | 3.86321 | + | 2.80678i | 0.139766 | + | 0.101546i | ||||
\(765\) | 27.7796 | − | 18.5244i | 1.00437 | − | 0.669752i | ||||
\(766\) | 21.5944 | − | 15.6892i | 0.780237 | − | 0.566876i | ||||
\(767\) | −0.268769 | + | 0.136945i | −0.00970469 | + | 0.00494479i | ||||
\(768\) | −1.27730 | + | 1.16983i | −0.0460905 | + | 0.0422128i | ||||
\(769\) | −38.8030 | − | 12.6079i | −1.39927 | − | 0.454651i | −0.490317 | − | 0.871544i | \(-0.663119\pi\) |
−0.908956 | + | 0.416893i | \(0.863119\pi\) | |||||||
\(770\) | −1.05961 | + | 9.63743i | −0.0381856 | + | 0.347309i | ||||
\(771\) | −0.861606 | − | 3.10990i | −0.0310300 | − | 0.112000i | ||||
\(772\) | −5.41215 | − | 2.75763i | −0.194788 | − | 0.0992493i | ||||
\(773\) | 13.6137 | − | 2.15619i | 0.489650 | − | 0.0775529i | 0.0932724 | − | 0.995641i | \(-0.470267\pi\) |
0.396377 | + | 0.918088i | \(0.370267\pi\) | |||||||
\(774\) | −1.71173 | − | 0.150627i | −0.0615267 | − | 0.00541418i | ||||
\(775\) | 11.6676 | − | 5.06145i | 0.419112 | − | 0.181812i | ||||
\(776\) | 1.99179i | 0.0715012i | ||||||||
\(777\) | −7.57873 | − | 66.6673i | −0.271886 | − | 2.39168i | ||||
\(778\) | −3.17091 | + | 6.22326i | −0.113683 | + | 0.223115i | ||||
\(779\) | −18.9710 | − | 58.3868i | −0.679708 | − | 2.09193i | ||||
\(780\) | 1.49901 | − | 1.51011i | 0.0536732 | − | 0.0540704i | ||||
\(781\) | 1.60580 | − | 4.94214i | 0.0574599 | − | 0.176844i | ||||
\(782\) | −2.68791 | − | 2.68791i | −0.0961196 | − | 0.0961196i | ||||
\(783\) | 36.5582 | − | 12.9148i | 1.30648 | − | 0.461538i | ||||
\(784\) | −6.01584 | − | 8.28010i | −0.214852 | − | 0.295718i | ||||
\(785\) | −4.06730 | − | 10.7492i | −0.145168 | − | 0.383656i | ||||
\(786\) | 12.2496 | − | 15.3918i | 0.436927 | − | 0.549009i | ||||
\(787\) | −3.68284 | + | 23.2525i | −0.131279 | + | 0.828864i | 0.830895 | + | 0.556429i | \(0.187829\pi\) |
−0.962174 | + | 0.272435i | \(0.912171\pi\) | |||||||
\(788\) | −2.09281 | + | 13.2135i | −0.0745532 | + | 0.470710i | ||||
\(789\) | 29.0510 | − | 36.5032i | 1.03424 | − | 1.29955i | ||||
\(790\) | 23.3014 | − | 1.10934i | 0.829025 | − | 0.0394684i | ||||
\(791\) | −1.23485 | − | 1.69963i | −0.0439062 | − | 0.0604317i | ||||
\(792\) | 1.17229 | + | 2.90575i | 0.0416557 | + | 0.103251i | ||||
\(793\) | 2.77226 | + | 2.77226i | 0.0984459 | + | 0.0984459i | ||||
\(794\) | 5.65908 | − | 17.4168i | 0.200833 | − | 0.618101i | ||||
\(795\) | 29.2853 | − | 4.74907i | 1.03864 | − | 0.168432i | ||||
\(796\) | 1.03346 | + | 3.18067i | 0.0366301 | + | 0.112736i | ||||
\(797\) | −19.5456 | + | 38.3603i | −0.692339 | + | 1.35879i | 0.230297 | + | 0.973120i | \(0.426030\pi\) |
−0.922636 | + | 0.385672i | \(0.873970\pi\) | |||||||
\(798\) | 4.97449 | + | 43.7587i | 0.176095 | + | 1.54904i | ||||
\(799\) | 3.50987i | 0.124170i | ||||||||
\(800\) | 0.309477 | − | 4.99041i | 0.0109417 | − | 0.176438i | ||||
\(801\) | −2.49586 | + | 28.3629i | −0.0881869 | + | 1.00215i | ||||
\(802\) | −1.23162 | + | 0.195070i | −0.0434901 | + | 0.00688815i | ||||
\(803\) | 13.3411 | + | 6.79762i | 0.470797 | + | 0.239883i | ||||
\(804\) | 4.35479 | + | 15.7183i | 0.153581 | + | 0.554340i | ||||
\(805\) | 3.51530 | + | 6.15656i | 0.123898 | + | 0.216990i | ||||
\(806\) | −1.32905 | − | 0.431834i | −0.0468138 | − | 0.0152107i | ||||
\(807\) | −12.9286 | + | 11.8409i | −0.455109 | + | 0.416820i | ||||
\(808\) | −11.7415 | + | 5.98261i | −0.413065 | + | 0.210467i | ||||
\(809\) | 7.45131 | − | 5.41369i | 0.261974 | − | 0.190335i | −0.449043 | − | 0.893510i | \(-0.648235\pi\) |
0.711017 | + | 0.703175i | \(0.248235\pi\) | |||||||
\(810\) | −13.8100 | + | 14.6384i | −0.485235 | + | 0.514341i | ||||
\(811\) | 34.8513 | + | 25.3210i | 1.22380 | + | 0.889140i | 0.996409 | − | 0.0846648i | \(-0.0269820\pi\) |
0.227386 | + | 0.973805i | \(0.426982\pi\) | |||||||
\(812\) | −30.5959 | − | 4.84591i | −1.07371 | − | 0.170058i | ||||
\(813\) | −0.146058 | + | 0.716974i | −0.00512249 | + | 0.0251454i | ||||
\(814\) | 5.72848 | − | 7.88457i | 0.200783 | − | 0.276354i | ||||
\(815\) | 27.0287 | − | 41.1876i | 0.946776 | − | 1.44274i | ||||
\(816\) | −7.19025 | + | 4.75651i | −0.251709 | + | 0.166511i | ||||
\(817\) | −1.59266 | − | 3.12578i | −0.0557203 | − | 0.109357i | ||||
\(818\) | 5.15736 | − | 5.15736i | 0.180323 | − | 0.180323i | ||||
\(819\) | 6.29706 | + | 2.67670i | 0.220037 | + | 0.0935314i | ||||
\(820\) | −19.4639 | + | 11.1136i | −0.679707 | + | 0.388102i | ||||
\(821\) | 3.34850 | − | 1.08799i | 0.116863 | − | 0.0379712i | −0.250001 | − | 0.968245i | \(-0.580431\pi\) |
0.366865 | + | 0.930274i | \(0.380431\pi\) | |||||||
\(822\) | −8.62650 | + | 15.2383i | −0.300884 | + | 0.531497i | ||||
\(823\) | −0.768705 | − | 4.85341i | −0.0267954 | − | 0.169179i | 0.970662 | − | 0.240449i | \(-0.0772948\pi\) |
−0.997457 | + | 0.0712700i | \(0.977295\pi\) | |||||||
\(824\) | 8.36223 | 0.291312 | ||||||||
\(825\) | −8.25906 | − | 3.68807i | −0.287543 | − | 0.128402i | ||||
\(826\) | −2.27940 | −0.0793104 | ||||||||
\(827\) | 6.37481 | + | 40.2490i | 0.221674 | + | 1.39959i | 0.807839 | + | 0.589403i | \(0.200637\pi\) |
−0.586165 | + | 0.810192i | \(0.699363\pi\) | |||||||
\(828\) | 1.94236 | + | 1.21509i | 0.0675018 | + | 0.0422272i | ||||
\(829\) | −19.6622 | + | 6.38863i | −0.682896 | + | 0.221886i | −0.629863 | − | 0.776706i | \(-0.716889\pi\) |
−0.0530331 | + | 0.998593i | \(0.516889\pi\) | |||||||
\(830\) | 1.84873 | + | 8.90705i | 0.0641703 | + | 0.309168i | ||||
\(831\) | 44.0279 | + | 16.4740i | 1.52731 | + | 0.571478i | ||||
\(832\) | −0.388478 | + | 0.388478i | −0.0134680 | + | 0.0134680i | ||||
\(833\) | −23.1275 | − | 45.3903i | −0.801320 | − | 1.57268i | ||||
\(834\) | 20.0829 | + | 30.3586i | 0.695415 | + | 1.05123i | ||||
\(835\) | 0.730958 | + | 15.3536i | 0.0252958 | + | 0.531333i | ||||
\(836\) | −3.76003 | + | 5.17523i | −0.130043 | + | 0.178989i | ||||
\(837\) | 12.6699 | + | 3.76344i | 0.437937 | + | 0.130084i | ||||
\(838\) | −17.7151 | − | 2.80580i | −0.611959 | − | 0.0969248i | ||||
\(839\) | 7.65838 | + | 5.56414i | 0.264397 | + | 0.192095i | 0.712083 | − | 0.702095i | \(-0.247752\pi\) |
−0.447686 | + | 0.894191i | \(0.647752\pi\) | |||||||
\(840\) | 15.2732 | − | 5.02490i | 0.526977 | − | 0.173376i | ||||
\(841\) | −21.5827 | + | 15.6807i | −0.744230 | + | 0.540715i | ||||
\(842\) | 28.3578 | − | 14.4490i | 0.977276 | − | 0.497947i | ||||
\(843\) | −14.7337 | − | 16.0871i | −0.507455 | − | 0.554070i | ||||
\(844\) | 14.0311 | + | 4.55897i | 0.482969 | + | 0.156926i | ||||
\(845\) | −19.1001 | + | 21.0096i | −0.657063 | + | 0.722753i | ||||
\(846\) | −0.474839 | − | 2.06150i | −0.0163253 | − | 0.0708758i | ||||
\(847\) | 36.6539 | + | 18.6761i | 1.25944 | + | 0.641718i | ||||
\(848\) | −7.56590 | + | 1.19832i | −0.259814 | + | 0.0411505i | ||||
\(849\) | −13.4151 | − | 0.589108i | −0.460405 | − | 0.0202181i | ||||
\(850\) | 5.40717 | − | 24.2926i | 0.185464 | − | 0.833229i | ||||
\(851\) | − | 7.12629i | − | 0.244286i | ||||||
\(852\) | −8.56245 | + | 0.973379i | −0.293345 | + | 0.0333474i | ||||
\(853\) | −5.01168 | + | 9.83597i | −0.171597 | + | 0.336777i | −0.960749 | − | 0.277421i | \(-0.910520\pi\) |
0.789152 | + | 0.614198i | \(0.210520\pi\) | |||||||
\(854\) | 9.15488 | + | 28.1758i | 0.313274 | + | 0.964157i | ||||
\(855\) | −40.2892 | − | 8.05294i | −1.37786 | − | 0.275405i | ||||
\(856\) | −3.48257 | + | 10.7182i | −0.119032 | + | 0.366342i | ||||
\(857\) | 10.2021 | + | 10.2021i | 0.348497 | + | 0.348497i | 0.859549 | − | 0.511053i | \(-0.170744\pi\) |
−0.511053 | + | 0.859549i | \(0.670744\pi\) | |||||||
\(858\) | 0.411918 | + | 0.904477i | 0.0140627 | + | 0.0308783i | ||||
\(859\) | −19.1249 | − | 26.3231i | −0.652532 | − | 0.898133i | 0.346674 | − | 0.937986i | \(-0.387311\pi\) |
−0.999206 | + | 0.0398530i | \(0.987311\pi\) | |||||||
\(860\) | −0.999197 | + | 0.801244i | −0.0340723 | + | 0.0273222i | ||||
\(861\) | −56.3949 | − | 44.8818i | −1.92193 | − | 1.52957i | ||||
\(862\) | 1.49664 | − | 9.44941i | 0.0509758 | − | 0.321848i | ||||
\(863\) | −3.14654 | + | 19.8665i | −0.107109 | + | 0.676262i | 0.874452 | + | 0.485113i | \(0.161221\pi\) |
−0.981561 | + | 0.191149i | \(0.938779\pi\) | |||||||
\(864\) | 3.57965 | − | 3.76645i | 0.121782 | − | 0.128137i | ||||
\(865\) | −2.83496 | + | 10.3811i | −0.0963915 | + | 0.352970i | ||||
\(866\) | 10.2078 | + | 14.0499i | 0.346877 | + | 0.477435i | ||||
\(867\) | −12.2551 | + | 5.58123i | −0.416205 | + | 0.189549i | ||||
\(868\) | −7.46691 | − | 7.46691i | −0.253444 | − | 0.253444i | ||||
\(869\) | −3.36708 | + | 10.3628i | −0.114220 | + | 0.351534i | ||||
\(870\) | 13.0250 | − | 25.7976i | 0.441587 | − | 0.874620i | ||||
\(871\) | 1.59870 | + | 4.92029i | 0.0541698 | + | 0.166718i | ||||
\(872\) | −5.27337 | + | 10.3496i | −0.178579 | + | 0.350480i | ||||
\(873\) | −0.413813 | − | 5.96103i | −0.0140054 | − | 0.201750i | ||||
\(874\) | 4.67752i | 0.158219i | ||||||||
\(875\) | −21.6637 | + | 41.0491i | −0.732368 | + | 1.38771i | ||||
\(876\) | 1.08936 | − | 24.8067i | 0.0368060 | − | 0.838142i | ||||
\(877\) | −30.9405 | + | 4.90050i | −1.04479 | + | 0.165478i | −0.655157 | − | 0.755493i | \(-0.727397\pi\) |
−0.389631 | + | 0.920971i | \(0.627397\pi\) | |||||||
\(878\) | −19.9766 | − | 10.1786i | −0.674179 | − | 0.343511i | ||||
\(879\) | 7.11373 | − | 1.97088i | 0.239940 | − | 0.0664760i | ||||
\(880\) | 2.12895 | + | 0.960111i | 0.0717670 | + | 0.0323653i | ||||
\(881\) | −53.5974 | − | 17.4149i | −1.80574 | − | 0.586722i | −0.805759 | − | 0.592243i | \(-0.798242\pi\) |
−0.999985 | + | 0.00552165i | \(0.998242\pi\) | |||||||
\(882\) | 19.7245 | + | 23.5308i | 0.664157 | + | 0.792324i | ||||
\(883\) | 17.7557 | − | 9.04697i | 0.597526 | − | 0.304455i | −0.128945 | − | 0.991652i | \(-0.541159\pi\) |
0.726471 | + | 0.687197i | \(0.241159\pi\) | |||||||
\(884\) | −2.21230 | + | 1.60733i | −0.0744075 | + | 0.0540602i | ||||
\(885\) | 0.649661 | − | 2.02482i | 0.0218381 | − | 0.0680636i | ||||
\(886\) | 7.92428 | + | 5.75733i | 0.266221 | + | 0.193421i | ||||
\(887\) | −26.4392 | − | 4.18756i | −0.887741 | − | 0.140604i | −0.304123 | − | 0.952633i | \(-0.598363\pi\) |
−0.583618 | + | 0.812028i | \(0.698363\pi\) | |||||||
\(888\) | −15.8368 | − | 3.22620i | −0.531450 | − | 0.108264i | ||||
\(889\) | 0.790563 | − | 1.08812i | 0.0265146 | − | 0.0364943i | ||||
\(890\) | 13.2764 | + | 16.5565i | 0.445027 | + | 0.554974i | ||||
\(891\) | −4.11213 | − | 8.45277i | −0.137762 | − | 0.283178i | ||||
\(892\) | −1.81351 | − | 3.55922i | −0.0607210 | − | 0.119172i | ||||
\(893\) | 3.05395 | − | 3.05395i | 0.102196 | − | 0.102196i | ||||
\(894\) | −8.09680 | + | 21.6392i | −0.270798 | + | 0.723724i | ||||
\(895\) | −28.9044 | − | 3.17796i | −0.966167 | − | 0.106227i | ||||
\(896\) | −3.94829 | + | 1.28288i | −0.131903 | + | 0.0428579i | ||||
\(897\) | 0.632416 | + | 0.358014i | 0.0211158 | + | 0.0119538i | ||||
\(898\) | 3.83429 | + | 24.2088i | 0.127952 | + | 0.807857i | ||||
\(899\) | −18.9799 | −0.633015 | ||||||||
\(900\) | 0.110601 | + | 14.9996i | 0.00368668 | + | 0.499986i | ||||
\(901\) | −38.1280 | −1.27023 | ||||||||
\(902\) | −1.63770 | − | 10.3400i | −0.0545295 | − | 0.344286i | ||||
\(903\) | −3.58415 | − | 2.02901i | −0.119273 | − | 0.0675212i | ||||
\(904\) | −0.481282 | + | 0.156378i | −0.0160072 | + | 0.00520105i | ||||
\(905\) | −11.0712 | − | 10.0649i | −0.368018 | − | 0.334569i | ||||
\(906\) | 3.10981 | − | 8.31118i | 0.103317 | − | 0.276120i | ||||
\(907\) | −19.5694 | + | 19.5694i | −0.649791 | + | 0.649791i | −0.952942 | − | 0.303151i | \(-0.901961\pi\) |
0.303151 | + | 0.952942i | \(0.401961\pi\) | |||||||
\(908\) | 3.65240 | + | 7.16823i | 0.121209 | + | 0.237886i | ||||
\(909\) | 33.8971 | − | 20.3441i | 1.12429 | − | 0.674772i | ||||
\(910\) | 4.76994 | − | 1.80486i | 0.158122 | − | 0.0598304i | ||||
\(911\) | −15.3895 | + | 21.1818i | −0.509877 | + | 0.701786i | −0.983899 | − | 0.178728i | \(-0.942802\pi\) |
0.474021 | + | 0.880513i | \(0.342802\pi\) | |||||||
\(912\) | 10.3949 | + | 2.11760i | 0.344210 | + | 0.0701207i | ||||
\(913\) | −4.19673 | − | 0.664696i | −0.138891 | − | 0.0219982i | ||||
\(914\) | −11.4710 | − | 8.33418i | −0.379428 | − | 0.275670i | ||||
\(915\) | −27.6382 | + | 0.101895i | −0.913692 | + | 0.00336854i | ||||
\(916\) | −9.12977 | + | 6.63317i | −0.301656 | + | 0.219166i | ||||
\(917\) | 42.0103 | − | 21.4053i | 1.38730 | − | 0.706866i | ||||
\(918\) | 20.5307 | − | 15.7291i | 0.677616 | − | 0.519138i | ||||
\(919\) | −24.1173 | − | 7.83618i | −0.795555 | − | 0.258492i | −0.117087 | − | 0.993122i | \(-0.537356\pi\) |
−0.678468 | + | 0.734630i | \(0.737356\pi\) | |||||||
\(920\) | 1.67206 | − | 0.347049i | 0.0551262 | − | 0.0114419i | ||||
\(921\) | −31.8813 | + | 8.83280i | −1.05052 | + | 0.291051i | ||||
\(922\) | 18.5864 | + | 9.47022i | 0.612109 | + | 0.311885i | ||||
\(923\) | −2.69977 | + | 0.427602i | −0.0888640 | + | 0.0140747i | ||||
\(924\) | −0.329480 | + | 7.50288i | −0.0108391 | + | 0.246827i | ||||
\(925\) | 39.3705 | − | 25.0349i | 1.29450 | − | 0.823141i | ||||
\(926\) | 19.4434i | 0.638949i | ||||||||
\(927\) | −25.0265 | + | 1.73733i | −0.821977 | + | 0.0570613i | ||||
\(928\) | −3.38756 | + | 6.64846i | −0.111202 | + | 0.218247i | ||||
\(929\) | 12.4755 | + | 38.3955i | 0.409307 | + | 1.25972i | 0.917245 | + | 0.398323i | \(0.130408\pi\) |
−0.507938 | + | 0.861393i | \(0.669592\pi\) | |||||||
\(930\) | 8.76113 | − | 4.50478i | 0.287289 | − | 0.147718i | ||||
\(931\) | −19.3709 | + | 59.6174i | −0.634855 | + | 1.95388i | ||||
\(932\) | 5.21367 | + | 5.21367i | 0.170779 | + | 0.170779i | ||||
\(933\) | 14.7937 | − | 6.73738i | 0.484325 | − | 0.220572i | ||||
\(934\) | −8.11024 | − | 11.1628i | −0.265375 | − | 0.365258i | ||||
\(935\) | 9.71865 | + | 6.37772i | 0.317834 | + | 0.208574i | ||||
\(936\) | 1.08193 | − | 1.24335i | 0.0353639 | − | 0.0406400i | ||||
\(937\) | 3.76729 | − | 23.7857i | 0.123072 | − | 0.777046i | −0.846527 | − | 0.532346i | \(-0.821310\pi\) |
0.969599 | − | 0.244700i | \(-0.0786895\pi\) | |||||||
\(938\) | −6.11558 | + | 38.6123i | −0.199681 | + | 1.26074i | ||||
\(939\) | 40.5888 | + | 32.3025i | 1.32457 | + | 1.05415i | ||||
\(940\) | −1.31828 | − | 0.865099i | −0.0429974 | − | 0.0282164i | ||||
\(941\) | −24.5801 | − | 33.8316i | −0.801288 | − | 1.10288i | −0.992610 | − | 0.121351i | \(-0.961277\pi\) |
0.191322 | − | 0.981527i | \(-0.438723\pi\) | |||||||
\(942\) | −3.68973 | − | 8.10179i | −0.120218 | − | 0.263971i | ||||
\(943\) | −5.41291 | − | 5.41291i | −0.176268 | − | 0.176268i | ||||
\(944\) | −0.169668 | + | 0.522184i | −0.00552222 | + | 0.0169956i | ||||
\(945\) | −44.6657 | + | 18.2117i | −1.45298 | + | 0.592426i | ||||
\(946\) | −0.184864 | − | 0.568954i | −0.00601046 | − | 0.0184983i | ||||
\(947\) | 20.9731 | − | 41.1619i | 0.681533 | − | 1.33758i | −0.247970 | − | 0.968768i | \(-0.579763\pi\) |
0.929503 | − | 0.368816i | \(-0.120237\pi\) | |||||||
\(948\) | 17.9540 | − | 2.04101i | 0.583117 | − | 0.0662888i | ||||
\(949\) | − | 7.87605i | − | 0.255668i | ||||||
\(950\) | −25.8418 | + | 16.4322i | −0.838419 | + | 0.533132i | ||||
\(951\) | 20.0929 | + | 0.882355i | 0.651556 | + | 0.0286123i | ||||
\(952\) | −20.4092 | + | 3.23251i | −0.661467 | + | 0.104766i | ||||
\(953\) | −22.1963 | − | 11.3096i | −0.719009 | − | 0.366354i | 0.0558911 | − | 0.998437i | \(-0.482200\pi\) |
−0.774900 | + | 0.632083i | \(0.782200\pi\) | |||||||
\(954\) | 22.3942 | − | 5.15821i | 0.725040 | − | 0.167003i | ||||
\(955\) | −10.4548 | + | 2.16998i | −0.338310 | + | 0.0702188i | ||||
\(956\) | −18.4471 | − | 5.99384i | −0.596623 | − | 0.193855i | ||||
\(957\) | 9.11691 | + | 9.95440i | 0.294708 | + | 0.321780i | ||||
\(958\) | 6.42288 | − | 3.27262i | 0.207514 | − | 0.105734i | ||||
\(959\) | −33.9549 | + | 24.6696i | −1.09646 | + | 0.796624i | ||||
\(960\) | −0.0142786 | − | 3.87296i | −0.000460839 | − | 0.124999i | ||||
\(961\) | 19.8452 | + | 14.4184i | 0.640166 | + | 0.465108i | ||||
\(962\) | −5.06336 | − | 0.801958i | −0.163249 | − | 0.0258562i | ||||
\(963\) | 8.19581 | − | 32.8010i | 0.264106 | − | 1.05700i | ||||
\(964\) | 1.07147 | − | 1.47476i | 0.0345099 | − | 0.0474988i | ||||
\(965\) | 12.7034 | − | 4.80671i | 0.408935 | − | 0.154733i | ||||
\(966\) | 3.02980 | + | 4.58003i | 0.0974821 | + | 0.147360i | ||||
\(967\) | 20.6107 | + | 40.4508i | 0.662796 | + | 1.30081i | 0.940386 | + | 0.340110i | \(0.110464\pi\) |
−0.277590 | + | 0.960700i | \(0.589536\pi\) | |||||||
\(968\) | 7.00683 | − | 7.00683i | 0.225208 | − | 0.225208i | ||||
\(969\) | 49.4539 | + | 18.5043i | 1.58869 | + | 0.594443i | ||||
\(970\) | −3.29550 | − | 2.99597i | −0.105812 | − | 0.0961949i | ||||
\(971\) | 47.1650 | − | 15.3248i | 1.51360 | − | 0.491798i | 0.569648 | − | 0.821889i | \(-0.307079\pi\) |
0.943949 | + | 0.330091i | \(0.107079\pi\) | |||||||
\(972\) | −9.93065 | + | 12.0159i | −0.318526 | + | 0.385411i | ||||
\(973\) | 13.6483 | + | 86.1718i | 0.437543 | + | 2.76254i | ||||
\(974\) | 15.1728 | 0.486167 | ||||||||
\(975\) | 0.243777 | + | 4.75161i | 0.00780710 | + | 0.152173i | ||||
\(976\) | 7.13621 | 0.228425 | ||||||||
\(977\) | −3.69043 | − | 23.3005i | −0.118067 | − | 0.745448i | −0.973695 | − | 0.227856i | \(-0.926828\pi\) |
0.855628 | − | 0.517592i | \(-0.173172\pi\) | |||||||
\(978\) | 18.7992 | − | 33.2080i | 0.601133 | − | 1.06187i | ||||
\(979\) | −9.42744 | + | 3.06316i | −0.301302 | + | 0.0978991i | ||||
\(980\) | 22.7485 | + | 2.50114i | 0.726676 | + | 0.0798959i | ||||
\(981\) | 13.6319 | − | 32.0697i | 0.435233 | − | 1.02391i | ||||
\(982\) | −19.2286 | + | 19.2286i | −0.613608 | + | 0.613608i | ||||
\(983\) | −3.32022 | − | 6.51631i | −0.105899 | − | 0.207838i | 0.831976 | − | 0.554811i | \(-0.187209\pi\) |
−0.937875 | + | 0.346973i | \(0.887209\pi\) | |||||||
\(984\) | −14.4797 | + | 9.57864i | −0.461595 | + | 0.305356i | ||||
\(985\) | −18.7143 | − | 23.3378i | −0.596287 | − | 0.743604i | ||||
\(986\) | −21.8305 | + | 30.0471i | −0.695224 | + | 0.956894i | ||||
\(987\) | 1.01215 | − | 4.96845i | 0.0322170 | − | 0.158148i | ||||
\(988\) | 3.32346 | + | 0.526384i | 0.105733 | + | 0.0167465i | ||||
\(989\) | −0.353893 | − | 0.257118i | −0.0112531 | − | 0.00817589i | ||||
\(990\) | −6.57100 | − | 2.43111i | −0.208840 | − | 0.0772657i | ||||
\(991\) | 2.22201 | − | 1.61438i | 0.0705844 | − | 0.0512826i | −0.551934 | − | 0.833888i | \(-0.686110\pi\) |
0.622518 | + | 0.782606i | \(0.286110\pi\) | |||||||
\(992\) | −2.26639 | + | 1.15478i | −0.0719579 | + | 0.0366644i | ||||
\(993\) | −12.1553 | + | 11.1327i | −0.385737 | + | 0.353284i | ||||
\(994\) | −19.6442 | − | 6.38279i | −0.623076 | − | 0.202450i | ||||
\(995\) | −6.81704 | − | 3.07433i | −0.216115 | − | 0.0974629i | ||||
\(996\) | 1.88136 | + | 6.79062i | 0.0596132 | + | 0.215169i | ||||
\(997\) | −7.46783 | − | 3.80505i | −0.236508 | − | 0.120507i | 0.331720 | − | 0.943378i | \(-0.392371\pi\) |
−0.568229 | + | 0.822871i | \(0.692371\pi\) | |||||||
\(998\) | 6.99881 | − | 1.10850i | 0.221543 | − | 0.0350890i | ||||
\(999\) | 48.0667 | + | 6.36513i | 1.52076 | + | 0.201384i |
(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 | 150.2.l.a.113.6 | yes | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.113.5 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.c.707.2 | 80 | |||
5.3 | odd | 4 | 750.2.l.a.707.9 | 80 | |||
5.4 | even | 2 | 750.2.l.b.293.5 | 80 | |||
15.2 | even | 4 | 750.2.l.c.707.8 | 80 | |||
15.8 | even | 4 | 750.2.l.a.707.3 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.293.6 | 80 | |||
25.2 | odd | 20 | inner | 150.2.l.a.77.5 | ✓ | 80 | |
25.11 | even | 5 | 750.2.l.c.593.8 | 80 | |||
25.14 | even | 10 | 750.2.l.a.593.3 | 80 | |||
25.23 | odd | 20 | 750.2.l.b.407.6 | 80 | |||
75.2 | even | 20 | inner | 150.2.l.a.77.6 | yes | 80 | |
75.11 | odd | 10 | 750.2.l.c.593.2 | 80 | |||
75.14 | odd | 10 | 750.2.l.a.593.9 | 80 | |||
75.23 | even | 20 | 750.2.l.b.407.5 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.77.5 | ✓ | 80 | 25.2 | odd | 20 | inner | |
150.2.l.a.77.6 | yes | 80 | 75.2 | even | 20 | inner | |
150.2.l.a.113.5 | yes | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.113.6 | yes | 80 | 1.1 | even | 1 | trivial | |
750.2.l.a.593.3 | 80 | 25.14 | even | 10 | |||
750.2.l.a.593.9 | 80 | 75.14 | odd | 10 | |||
750.2.l.a.707.3 | 80 | 15.8 | even | 4 | |||
750.2.l.a.707.9 | 80 | 5.3 | odd | 4 | |||
750.2.l.b.293.5 | 80 | 5.4 | even | 2 | |||
750.2.l.b.293.6 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.407.5 | 80 | 75.23 | even | 20 | |||
750.2.l.b.407.6 | 80 | 25.23 | odd | 20 | |||
750.2.l.c.593.2 | 80 | 75.11 | odd | 10 | |||
750.2.l.c.593.8 | 80 | 25.11 | even | 5 | |||
750.2.l.c.707.2 | 80 | 5.2 | odd | 4 | |||
750.2.l.c.707.8 | 80 | 15.2 | even | 4 |