Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(36,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.36");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.v (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(70\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 36.6 | ||
Character | \(\chi\) | \(=\) | 403.36 |
Dual form | 403.2.v.a.56.6 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.88902 | + | 1.09062i | −1.33574 | + | 0.771187i | −0.986172 | − | 0.165725i | \(-0.947004\pi\) |
−0.349564 | + | 0.936913i | \(0.613670\pi\) | |||||||
\(3\) | −0.144762 | −0.0835782 | −0.0417891 | − | 0.999126i | \(-0.513306\pi\) | ||||
−0.0417891 | + | 0.999126i | \(0.513306\pi\) | |||||||
\(4\) | 1.37892 | − | 2.38836i | 0.689460 | − | 1.19418i | ||||
\(5\) | −1.56313 | + | 0.902471i | −0.699051 | + | 0.403597i | −0.806994 | − | 0.590560i | \(-0.798907\pi\) |
0.107943 | + | 0.994157i | \(0.465574\pi\) | |||||||
\(6\) | 0.273457 | − | 0.157881i | 0.111638 | − | 0.0644545i | ||||
\(7\) | 2.20942 | − | 1.27561i | 0.835083 | − | 0.482135i | −0.0205071 | − | 0.999790i | \(-0.506528\pi\) |
0.855590 | + | 0.517654i | \(0.173195\pi\) | |||||||
\(8\) | 1.65304i | 0.584438i | ||||||||
\(9\) | −2.97904 | −0.993015 | ||||||||
\(10\) | 1.96851 | − | 3.40956i | 0.622498 | − | 1.07820i | ||||
\(11\) | 1.68417 | + | 0.972354i | 0.507796 | + | 0.293176i | 0.731927 | − | 0.681383i | \(-0.238621\pi\) |
−0.224131 | + | 0.974559i | \(0.571955\pi\) | |||||||
\(12\) | −0.199615 | + | 0.345743i | −0.0576239 | + | 0.0998075i | ||||
\(13\) | 3.38576 | + | 1.23960i | 0.939041 | + | 0.343804i | ||||
\(14\) | −2.78242 | + | 4.81929i | −0.743633 | + | 1.28801i | ||||
\(15\) | 0.226281 | − | 0.130643i | 0.0584254 | − | 0.0337319i | ||||
\(16\) | 0.954997 | + | 1.65410i | 0.238749 | + | 0.413526i | ||||
\(17\) | −1.86710 | − | 3.23392i | −0.452839 | − | 0.784341i | 0.545722 | − | 0.837966i | \(-0.316256\pi\) |
−0.998561 | + | 0.0536258i | \(0.982922\pi\) | |||||||
\(18\) | 5.62746 | − | 3.24902i | 1.32641 | − | 0.765800i | ||||
\(19\) | 2.14106 | − | 1.23614i | 0.491193 | − | 0.283591i | −0.233876 | − | 0.972266i | \(-0.575141\pi\) |
0.725069 | + | 0.688676i | \(0.241808\pi\) | |||||||
\(20\) | 4.97774i | 1.11306i | ||||||||
\(21\) | −0.319840 | + | 0.184660i | −0.0697947 | + | 0.0402960i | ||||
\(22\) | −4.24189 | −0.904374 | ||||||||
\(23\) | 2.71631 | + | 4.70478i | 0.566389 | + | 0.981015i | 0.996919 | + | 0.0784383i | \(0.0249933\pi\) |
−0.430530 | + | 0.902576i | \(0.641673\pi\) | |||||||
\(24\) | − | 0.239297i | − | 0.0488463i | ||||||
\(25\) | −0.871093 | + | 1.50878i | −0.174219 | + | 0.301756i | ||||
\(26\) | −7.74770 | + | 1.35096i | −1.51945 | + | 0.264945i | ||||
\(27\) | 0.865537 | 0.166573 | ||||||||
\(28\) | − | 7.03586i | − | 1.32965i | ||||||
\(29\) | 4.87686 | + | 8.44698i | 0.905611 | + | 1.56856i | 0.820095 | + | 0.572227i | \(0.193921\pi\) |
0.0855159 | + | 0.996337i | \(0.472746\pi\) | |||||||
\(30\) | −0.284965 | + | 0.493574i | −0.0520273 | + | 0.0901139i | ||||
\(31\) | 3.89883 | − | 3.97481i | 0.700251 | − | 0.713897i | ||||
\(32\) | −6.47116 | − | 3.73612i | −1.14395 | − | 0.660460i | ||||
\(33\) | −0.243803 | − | 0.140760i | −0.0424407 | − | 0.0245031i | ||||
\(34\) | 7.05398 | + | 4.07262i | 1.20975 | + | 0.698448i | ||||
\(35\) | −2.30240 | + | 3.98788i | −0.389177 | + | 0.674074i | ||||
\(36\) | −4.10787 | + | 7.11503i | −0.684644 | + | 1.18584i | ||||
\(37\) | 6.17379i | 1.01496i | 0.861662 | + | 0.507482i | \(0.169424\pi\) | ||||
−0.861662 | + | 0.507482i | \(0.830576\pi\) | |||||||
\(38\) | −2.69633 | + | 4.67019i | −0.437403 | + | 0.757604i | ||||
\(39\) | −0.490129 | − | 0.179447i | −0.0784834 | − | 0.0287346i | ||||
\(40\) | −1.49182 | − | 2.58391i | −0.235877 | − | 0.408552i | ||||
\(41\) | −9.38852 | − | 5.42047i | −1.46624 | − | 0.846535i | −0.466953 | − | 0.884282i | \(-0.654648\pi\) |
−0.999287 | + | 0.0377474i | \(0.987982\pi\) | |||||||
\(42\) | 0.402788 | − | 0.697650i | 0.0621516 | − | 0.107650i | ||||
\(43\) | 3.54099 | + | 6.13318i | 0.539996 | + | 0.935301i | 0.998903 | + | 0.0468170i | \(0.0149078\pi\) |
−0.458907 | + | 0.888484i | \(0.651759\pi\) | |||||||
\(44\) | 4.64467 | − | 2.68160i | 0.700210 | − | 0.404266i | ||||
\(45\) | 4.65662 | − | 2.68850i | 0.694168 | − | 0.400778i | ||||
\(46\) | −10.2623 | − | 5.92494i | −1.51309 | − | 0.873584i | ||||
\(47\) | 9.10729i | 1.32843i | 0.747539 | + | 0.664217i | \(0.231235\pi\) | ||||
−0.747539 | + | 0.664217i | \(0.768765\pi\) | |||||||
\(48\) | −0.138247 | − | 0.239451i | −0.0199542 | − | 0.0345618i | ||||
\(49\) | −0.245639 | + | 0.425459i | −0.0350913 | + | 0.0607798i | ||||
\(50\) | − | 3.80014i | − | 0.537421i | ||||||
\(51\) | 0.270285 | + | 0.468148i | 0.0378475 | + | 0.0655538i | ||||
\(52\) | 7.62932 | − | 6.37710i | 1.05800 | − | 0.884345i | ||||
\(53\) | 3.99233 | + | 6.91492i | 0.548389 | + | 0.949838i | 0.998385 | + | 0.0568072i | \(0.0180920\pi\) |
−0.449996 | + | 0.893031i | \(0.648575\pi\) | |||||||
\(54\) | −1.63501 | + | 0.943975i | −0.222497 | + | 0.128459i | ||||
\(55\) | −3.51009 | −0.473300 | ||||||||
\(56\) | 2.10863 | + | 3.65226i | 0.281778 | + | 0.488054i | ||||
\(57\) | −0.309944 | + | 0.178946i | −0.0410531 | + | 0.0237020i | ||||
\(58\) | −18.4249 | − | 10.6376i | −2.41931 | − | 1.39679i | ||||
\(59\) | 3.89999 | − | 2.25166i | 0.507736 | − | 0.293141i | −0.224167 | − | 0.974551i | \(-0.571966\pi\) |
0.731902 | + | 0.681409i | \(0.238633\pi\) | |||||||
\(60\) | − | 0.720587i | − | 0.0930273i | ||||||
\(61\) | −0.124616 | + | 0.215841i | −0.0159554 | + | 0.0276356i | −0.873893 | − | 0.486119i | \(-0.838412\pi\) |
0.857937 | + | 0.513754i | \(0.171746\pi\) | |||||||
\(62\) | −3.02994 | + | 11.7606i | −0.384802 | + | 1.49360i | ||||
\(63\) | −6.58196 | + | 3.80010i | −0.829249 | + | 0.478767i | ||||
\(64\) | 12.4788 | 1.55985 | ||||||||
\(65\) | −6.41107 | + | 1.11789i | −0.795196 | + | 0.138658i | ||||
\(66\) | 0.614064 | 0.0755860 | ||||||||
\(67\) | −4.55298 | − | 2.62866i | −0.556235 | − | 0.321142i | 0.195398 | − | 0.980724i | \(-0.437400\pi\) |
−0.751633 | + | 0.659582i | \(0.770733\pi\) | |||||||
\(68\) | −10.2984 | −1.24886 | ||||||||
\(69\) | −0.393217 | − | 0.681072i | −0.0473378 | − | 0.0819915i | ||||
\(70\) | − | 10.0442i | − | 1.20051i | ||||||
\(71\) | 6.28972i | 0.746453i | 0.927740 | + | 0.373226i | \(0.121749\pi\) | ||||
−0.927740 | + | 0.373226i | \(0.878251\pi\) | |||||||
\(72\) | − | 4.92448i | − | 0.580355i | ||||||
\(73\) | 0.291183 | − | 0.168115i | 0.0340804 | − | 0.0196763i | −0.482863 | − | 0.875696i | \(-0.660403\pi\) |
0.516943 | + | 0.856020i | \(0.327070\pi\) | |||||||
\(74\) | −6.73328 | − | 11.6624i | −0.782728 | − | 1.35572i | ||||
\(75\) | 0.126101 | − | 0.218413i | 0.0145609 | − | 0.0252202i | ||||
\(76\) | − | 6.81817i | − | 0.782098i | ||||||
\(77\) | 4.96138 | 0.565402 | ||||||||
\(78\) | 1.12157 | − | 0.195568i | 0.126993 | − | 0.0221437i | ||||
\(79\) | 5.01397 | − | 8.68445i | 0.564115 | − | 0.977077i | −0.433016 | − | 0.901386i | \(-0.642551\pi\) |
0.997131 | − | 0.0756903i | \(-0.0241160\pi\) | |||||||
\(80\) | −2.98556 | − | 1.72371i | −0.333796 | − | 0.192717i | ||||
\(81\) | 8.81184 | 0.979093 | ||||||||
\(82\) | 23.6468 | 2.61135 | ||||||||
\(83\) | 13.8506 | − | 7.99664i | 1.52030 | − | 0.877745i | 0.520586 | − | 0.853809i | \(-0.325714\pi\) |
0.999713 | − | 0.0239361i | \(-0.00761981\pi\) | |||||||
\(84\) | 1.01852i | 0.111130i | ||||||||
\(85\) | 5.83703 | + | 3.37001i | 0.633115 | + | 0.365529i | ||||
\(86\) | −13.3780 | − | 7.72378i | −1.44259 | − | 0.832877i | ||||
\(87\) | −0.705983 | − | 1.22280i | −0.0756894 | − | 0.131098i | ||||
\(88\) | −1.60734 | + | 2.78399i | −0.171343 | + | 0.296775i | ||||
\(89\) | 14.2527 | − | 8.22881i | 1.51078 | − | 0.872252i | 0.510863 | − | 0.859662i | \(-0.329326\pi\) |
0.999921 | − | 0.0125896i | \(-0.00400751\pi\) | |||||||
\(90\) | −5.86428 | + | 10.1572i | −0.618150 | + | 1.07067i | ||||
\(91\) | 9.06182 | − | 1.58010i | 0.949937 | − | 0.165640i | ||||
\(92\) | 14.9823 | 1.56201 | ||||||||
\(93\) | −0.564402 | + | 0.575400i | −0.0585258 | + | 0.0596662i | ||||
\(94\) | −9.93263 | − | 17.2038i | −1.02447 | − | 1.77444i | ||||
\(95\) | −2.23117 | + | 3.86449i | −0.228913 | + | 0.396488i | ||||
\(96\) | 0.936776 | + | 0.540848i | 0.0956093 | + | 0.0552001i | ||||
\(97\) | 3.15104 | + | 1.81925i | 0.319940 | + | 0.184717i | 0.651366 | − | 0.758764i | \(-0.274196\pi\) |
−0.331426 | + | 0.943481i | \(0.607530\pi\) | |||||||
\(98\) | − | 1.07160i | − | 0.108248i | ||||||
\(99\) | −5.01721 | − | 2.89669i | −0.504248 | − | 0.291128i | ||||
\(100\) | 2.40234 | + | 4.16097i | 0.240234 | + | 0.416097i | ||||
\(101\) | −8.22357 | − | 14.2436i | −0.818276 | − | 1.41730i | −0.906951 | − | 0.421235i | \(-0.861597\pi\) |
0.0886752 | − | 0.996061i | \(-0.471737\pi\) | |||||||
\(102\) | −1.02115 | − | 0.589559i | −0.101109 | − | 0.0583750i | ||||
\(103\) | 7.14555 | + | 12.3764i | 0.704072 | + | 1.21949i | 0.967026 | + | 0.254679i | \(0.0819700\pi\) |
−0.262954 | + | 0.964808i | \(0.584697\pi\) | |||||||
\(104\) | −2.04911 | + | 5.59680i | −0.200932 | + | 0.548811i | ||||
\(105\) | 0.333300 | − | 0.577292i | 0.0325267 | − | 0.0563379i | ||||
\(106\) | −15.0832 | − | 8.70827i | −1.46501 | − | 0.845822i | ||||
\(107\) | 1.96582 | 0.190043 | 0.0950217 | − | 0.995475i | \(-0.469708\pi\) | ||||
0.0950217 | + | 0.995475i | \(0.469708\pi\) | |||||||
\(108\) | 1.19351 | − | 2.06721i | 0.114845 | − | 0.198918i | ||||
\(109\) | − | 6.94579i | − | 0.665286i | −0.943053 | − | 0.332643i | \(-0.892060\pi\) | ||
0.943053 | − | 0.332643i | \(-0.107940\pi\) | |||||||
\(110\) | 6.63061 | − | 3.82818i | 0.632204 | − | 0.365003i | ||||
\(111\) | − | 0.893728i | − | 0.0848289i | ||||||
\(112\) | 4.21998 | + | 2.43641i | 0.398751 | + | 0.230219i | ||||
\(113\) | 5.64094 | 0.530655 | 0.265327 | − | 0.964158i | \(-0.414520\pi\) | ||||
0.265327 | + | 0.964158i | \(0.414520\pi\) | |||||||
\(114\) | 0.390326 | − | 0.676064i | 0.0365574 | − | 0.0633192i | ||||
\(115\) | −8.49185 | − | 4.90277i | −0.791869 | − | 0.457186i | ||||
\(116\) | 26.8992 | 2.49753 | ||||||||
\(117\) | −10.0863 | − | 3.69283i | −0.932482 | − | 0.341403i | ||||
\(118\) | −4.91143 | + | 8.50685i | −0.452134 | + | 0.783119i | ||||
\(119\) | −8.25044 | − | 4.76339i | −0.756316 | − | 0.436659i | ||||
\(120\) | 0.215958 | + | 0.374051i | 0.0197142 | + | 0.0341460i | ||||
\(121\) | −3.60905 | − | 6.25106i | −0.328096 | − | 0.568279i | ||||
\(122\) | − | 0.543636i | − | 0.0492185i | ||||||
\(123\) | 1.35910 | + | 0.784676i | 0.122546 | + | 0.0707519i | ||||
\(124\) | −4.11709 | − | 14.7928i | −0.369726 | − | 1.32843i | ||||
\(125\) | − | 12.1693i | − | 1.08845i | ||||||
\(126\) | 8.28895 | − | 14.3569i | 0.738439 | − | 1.27901i | ||||
\(127\) | −10.2799 | −0.912194 | −0.456097 | − | 0.889930i | \(-0.650753\pi\) | ||||
−0.456097 | + | 0.889930i | \(0.650753\pi\) | |||||||
\(128\) | −10.6304 | + | 6.13747i | −0.939604 | + | 0.542481i | ||||
\(129\) | −0.512600 | − | 0.887850i | −0.0451320 | − | 0.0781708i | ||||
\(130\) | 10.8914 | − | 9.10379i | 0.955241 | − | 0.798455i | ||||
\(131\) | −5.96807 | + | 10.3370i | −0.521433 | + | 0.903148i | 0.478256 | + | 0.878220i | \(0.341269\pi\) |
−0.999689 | + | 0.0249279i | \(0.992064\pi\) | |||||||
\(132\) | −0.672370 | + | 0.388193i | −0.0585223 | + | 0.0337879i | ||||
\(133\) | 3.15367 | − | 5.46232i | 0.273458 | − | 0.473643i | ||||
\(134\) | 11.4675 | 0.990644 | ||||||||
\(135\) | −1.35294 | + | 0.781122i | −0.116443 | + | 0.0672283i | ||||
\(136\) | 5.34580 | − | 3.08640i | 0.458398 | − | 0.264656i | ||||
\(137\) | 18.5763i | 1.58708i | 0.608519 | + | 0.793540i | \(0.291764\pi\) | ||||
−0.608519 | + | 0.793540i | \(0.708236\pi\) | |||||||
\(138\) | 1.48559 | + | 0.857704i | 0.126462 | + | 0.0730126i | ||||
\(139\) | −6.22829 | + | 10.7877i | −0.528276 | + | 0.915002i | 0.471180 | + | 0.882037i | \(0.343828\pi\) |
−0.999457 | + | 0.0329645i | \(0.989505\pi\) | |||||||
\(140\) | 6.34966 | + | 10.9979i | 0.536644 | + | 0.929495i | ||||
\(141\) | − | 1.31839i | − | 0.111028i | ||||||
\(142\) | −6.85972 | − | 11.8814i | −0.575655 | − | 0.997064i | ||||
\(143\) | 4.49686 | + | 5.37986i | 0.376046 | + | 0.449887i | ||||
\(144\) | −2.84498 | − | 4.92765i | −0.237082 | − | 0.410637i | ||||
\(145\) | −15.2463 | − | 8.80245i | −1.26614 | − | 0.731004i | ||||
\(146\) | −0.366700 | + | 0.635142i | −0.0303483 | + | 0.0525648i | ||||
\(147\) | 0.0355591 | − | 0.0615902i | 0.00293287 | − | 0.00507987i | ||||
\(148\) | 14.7452 | + | 8.51316i | 1.21205 | + | 0.699778i | ||||
\(149\) | 14.9976 | − | 8.65889i | 1.22865 | − | 0.709364i | 0.261906 | − | 0.965093i | \(-0.415649\pi\) |
0.966748 | + | 0.255729i | \(0.0823156\pi\) | |||||||
\(150\) | 0.550115i | 0.0449167i | ||||||||
\(151\) | − | 12.3975i | − | 1.00889i | −0.863443 | − | 0.504447i | \(-0.831696\pi\) | ||
0.863443 | − | 0.504447i | \(-0.168304\pi\) | |||||||
\(152\) | 2.04339 | + | 3.53926i | 0.165741 | + | 0.287072i | ||||
\(153\) | 5.56219 | + | 9.63399i | 0.449676 | + | 0.778862i | ||||
\(154\) | −9.37213 | + | 5.41100i | −0.755227 | + | 0.436031i | ||||
\(155\) | −2.50722 | + | 9.73170i | −0.201384 | + | 0.781669i | ||||
\(156\) | −1.10443 | + | 0.923161i | −0.0884254 | + | 0.0739120i | ||||
\(157\) | −0.100633 | −0.00803136 | −0.00401568 | − | 0.999992i | \(-0.501278\pi\) | ||||
−0.00401568 | + | 0.999992i | \(0.501278\pi\) | |||||||
\(158\) | 21.8734i | 1.74016i | ||||||||
\(159\) | −0.577937 | − | 1.00102i | −0.0458334 | − | 0.0793858i | ||||
\(160\) | 13.4870 | 1.06624 | ||||||||
\(161\) | 12.0029 | + | 6.92989i | 0.945963 | + | 0.546152i | ||||
\(162\) | −16.6457 | + | 9.61040i | −1.30781 | + | 0.755064i | ||||
\(163\) | −16.8539 | − | 9.73060i | −1.32010 | − | 0.762159i | −0.336354 | − | 0.941736i | \(-0.609194\pi\) |
−0.983744 | + | 0.179576i | \(0.942527\pi\) | |||||||
\(164\) | −25.8921 | + | 14.9488i | −2.02183 | + | 1.16730i | ||||
\(165\) | 0.508126 | 0.0395576 | ||||||||
\(166\) | −17.4427 | + | 30.2116i | −1.35381 | + | 2.34487i | ||||
\(167\) | 2.43477i | 0.188408i | 0.995553 | + | 0.0942041i | \(0.0300306\pi\) | ||||
−0.995553 | + | 0.0942041i | \(0.969969\pi\) | |||||||
\(168\) | −0.305249 | − | 0.528708i | −0.0235505 | − | 0.0407907i | ||||
\(169\) | 9.92677 | + | 8.39401i | 0.763597 | + | 0.645693i | ||||
\(170\) | −14.7017 | −1.12757 | ||||||||
\(171\) | −6.37832 | + | 3.68252i | −0.487762 | + | 0.281610i | ||||
\(172\) | 19.5310 | 1.48922 | ||||||||
\(173\) | −5.99131 | −0.455511 | −0.227755 | − | 0.973718i | \(-0.573139\pi\) | ||||
−0.227755 | + | 0.973718i | \(0.573139\pi\) | |||||||
\(174\) | 2.66723 | + | 1.53992i | 0.202202 | + | 0.116741i | ||||
\(175\) | 4.44470i | 0.335988i | ||||||||
\(176\) | 3.71438i | 0.279982i | ||||||||
\(177\) | −0.564570 | + | 0.325954i | −0.0424357 | + | 0.0245002i | ||||
\(178\) | −17.9491 | + | 31.0887i | −1.34534 | + | 2.33020i | ||||
\(179\) | −15.1841 | −1.13491 | −0.567457 | − | 0.823403i | \(-0.692073\pi\) | ||||
−0.567457 | + | 0.823403i | \(0.692073\pi\) | |||||||
\(180\) | − | 14.8289i | − | 1.10528i | ||||||
\(181\) | 5.22717 | + | 9.05372i | 0.388532 | + | 0.672957i | 0.992252 | − | 0.124239i | \(-0.0396489\pi\) |
−0.603720 | + | 0.797196i | \(0.706316\pi\) | |||||||
\(182\) | −15.3946 | + | 12.8679i | −1.14113 | + | 0.953831i | ||||
\(183\) | 0.0180396 | − | 0.0312455i | 0.00133353 | − | 0.00230973i | ||||
\(184\) | −7.77719 | + | 4.49016i | −0.573342 | + | 0.331019i | ||||
\(185\) | −5.57166 | − | 9.65040i | −0.409637 | − | 0.709512i | ||||
\(186\) | 0.438619 | − | 1.70249i | 0.0321611 | − | 0.124833i | ||||
\(187\) | − | 7.26195i | − | 0.531046i | ||||||
\(188\) | 21.7515 | + | 12.5582i | 1.58639 | + | 0.915903i | ||||
\(189\) | 1.91234 | − | 1.10409i | 0.139102 | − | 0.0803105i | ||||
\(190\) | − | 9.73345i | − | 0.706138i | ||||||
\(191\) | −11.0446 | −0.799157 | −0.399579 | − | 0.916699i | \(-0.630844\pi\) | ||||
−0.399579 | + | 0.916699i | \(0.630844\pi\) | |||||||
\(192\) | −1.80646 | −0.130370 | ||||||||
\(193\) | 14.2144i | 1.02317i | 0.859232 | + | 0.511587i | \(0.170942\pi\) | ||||
−0.859232 | + | 0.511587i | \(0.829058\pi\) | |||||||
\(194\) | −7.93648 | −0.569806 | ||||||||
\(195\) | 0.928078 | − | 0.161828i | 0.0664611 | − | 0.0115888i | ||||
\(196\) | 0.677433 | + | 1.17335i | 0.0483881 | + | 0.0838106i | ||||
\(197\) | 1.90237 | + | 1.09833i | 0.135538 | + | 0.0782531i | 0.566236 | − | 0.824243i | \(-0.308399\pi\) |
−0.430698 | + | 0.902496i | \(0.641732\pi\) | |||||||
\(198\) | 12.6368 | 0.898057 | ||||||||
\(199\) | −3.96506 | −0.281076 | −0.140538 | − | 0.990075i | \(-0.544883\pi\) | ||||
−0.140538 | + | 0.990075i | \(0.544883\pi\) | |||||||
\(200\) | −2.49407 | − | 1.43995i | −0.176357 | − | 0.101820i | ||||
\(201\) | 0.659097 | + | 0.380530i | 0.0464891 | + | 0.0268405i | ||||
\(202\) | 31.0689 | + | 17.9377i | 2.18600 | + | 1.26209i | ||||
\(203\) | 21.5501 | + | 12.4420i | 1.51252 | + | 0.873254i | ||||
\(204\) | 1.49081 | 0.104377 | ||||||||
\(205\) | 19.5672 | 1.36664 | ||||||||
\(206\) | −26.9961 | − | 15.5862i | −1.88091 | − | 1.08594i | ||||
\(207\) | −8.09200 | − | 14.0157i | −0.562433 | − | 0.974162i | ||||
\(208\) | 1.18296 | + | 6.78422i | 0.0820235 | + | 0.470401i | ||||
\(209\) | 4.80788 | 0.332568 | ||||||||
\(210\) | 1.45402i | 0.100337i | ||||||||
\(211\) | −14.0336 | −0.966116 | −0.483058 | − | 0.875588i | \(-0.660474\pi\) | ||||
−0.483058 | + | 0.875588i | \(0.660474\pi\) | |||||||
\(212\) | 22.0204 | 1.51237 | ||||||||
\(213\) | − | 0.910511i | − | 0.0623872i | ||||||
\(214\) | −3.71347 | + | 2.14398i | −0.253848 | + | 0.146559i | ||||
\(215\) | −11.0700 | − | 6.39129i | −0.754970 | − | 0.435882i | ||||
\(216\) | 1.43077i | 0.0973513i | ||||||||
\(217\) | 3.54386 | − | 13.7554i | 0.240573 | − | 0.933778i | ||||
\(218\) | 7.57524 | + | 13.1207i | 0.513060 | + | 0.888646i | ||||
\(219\) | −0.0421522 | + | 0.0243366i | −0.00284838 | + | 0.00164451i | ||||
\(220\) | −4.84013 | + | 8.38335i | −0.326321 | + | 0.565205i | ||||
\(221\) | −2.31279 | − | 13.2637i | −0.155575 | − | 0.892216i | ||||
\(222\) | 0.974721 | + | 1.68827i | 0.0654190 | + | 0.113309i | ||||
\(223\) | 1.71753i | 0.115015i | 0.998345 | + | 0.0575073i | \(0.0183152\pi\) | ||||
−0.998345 | + | 0.0575073i | \(0.981685\pi\) | |||||||
\(224\) | −19.0634 | −1.27372 | ||||||||
\(225\) | 2.59503 | − | 4.49472i | 0.173002 | − | 0.299648i | ||||
\(226\) | −10.6558 | + | 6.15214i | −0.708814 | + | 0.409234i | ||||
\(227\) | − | 23.1116i | − | 1.53397i | −0.641666 | − | 0.766984i | \(-0.721756\pi\) | ||
0.641666 | − | 0.766984i | \(-0.278244\pi\) | |||||||
\(228\) | 0.987010i | 0.0653664i | ||||||||
\(229\) | −1.63191 | − | 0.942182i | −0.107839 | − | 0.0622612i | 0.445110 | − | 0.895476i | \(-0.353165\pi\) |
−0.552950 | + | 0.833215i | \(0.686498\pi\) | |||||||
\(230\) | 21.3883 | 1.41030 | ||||||||
\(231\) | −0.718218 | −0.0472553 | ||||||||
\(232\) | −13.9632 | + | 8.06165i | −0.916728 | + | 0.529273i | ||||
\(233\) | 17.6256 | 1.15469 | 0.577345 | − | 0.816500i | \(-0.304089\pi\) | ||||
0.577345 | + | 0.816500i | \(0.304089\pi\) | |||||||
\(234\) | 23.0807 | − | 4.02457i | 1.50883 | − | 0.263095i | ||||
\(235\) | −8.21906 | − | 14.2358i | −0.536153 | − | 0.928643i | ||||
\(236\) | − | 12.4194i | − | 0.808437i | ||||||
\(237\) | −0.725831 | + | 1.25718i | −0.0471478 | + | 0.0816623i | ||||
\(238\) | 20.7803 | 1.34699 | ||||||||
\(239\) | −14.8170 | + | 8.55461i | −0.958433 | + | 0.553352i | −0.895690 | − | 0.444678i | \(-0.853318\pi\) |
−0.0627426 | + | 0.998030i | \(0.519985\pi\) | |||||||
\(240\) | 0.432195 | + | 0.249528i | 0.0278981 | + | 0.0161070i | ||||
\(241\) | 4.72999 | − | 2.73086i | 0.304685 | − | 0.175910i | −0.339861 | − | 0.940476i | \(-0.610380\pi\) |
0.644546 | + | 0.764566i | \(0.277047\pi\) | |||||||
\(242\) | 13.6351 | + | 7.87224i | 0.876499 | + | 0.506047i | ||||
\(243\) | −3.87223 | −0.248404 | ||||||||
\(244\) | 0.343671 | + | 0.595255i | 0.0220013 | + | 0.0381073i | ||||
\(245\) | − | 0.886727i | − | 0.0566509i | ||||||
\(246\) | −3.42315 | −0.218252 | ||||||||
\(247\) | 8.78145 | − | 1.53122i | 0.558750 | − | 0.0974290i | ||||
\(248\) | 6.57051 | + | 6.44492i | 0.417228 | + | 0.409253i | ||||
\(249\) | −2.00504 | + | 1.15761i | −0.127064 | + | 0.0733604i | ||||
\(250\) | 13.2721 | + | 22.9879i | 0.839400 | + | 1.45388i | ||||
\(251\) | −6.12667 | − | 10.6117i | −0.386712 | − | 0.669805i | 0.605293 | − | 0.796003i | \(-0.293056\pi\) |
−0.992005 | + | 0.126198i | \(0.959723\pi\) | |||||||
\(252\) | 20.9601i | 1.32036i | ||||||||
\(253\) | 10.5649i | 0.664206i | ||||||||
\(254\) | 19.4189 | − | 11.2115i | 1.21845 | − | 0.703473i | ||||
\(255\) | −0.844979 | − | 0.487849i | −0.0529147 | − | 0.0305503i | ||||
\(256\) | 0.908500 | − | 1.57357i | 0.0567812 | − | 0.0983480i | ||||
\(257\) | 0.182380 | − | 0.315892i | 0.0113766 | − | 0.0197048i | −0.860281 | − | 0.509820i | \(-0.829712\pi\) |
0.871658 | + | 0.490115i | \(0.163045\pi\) | |||||||
\(258\) | 1.93662 | + | 1.11811i | 0.120569 | + | 0.0696104i | ||||
\(259\) | 7.87534 | + | 13.6405i | 0.489350 | + | 0.847579i | ||||
\(260\) | −6.17043 | + | 16.8534i | −0.382674 | + | 1.04521i | ||||
\(261\) | −14.5284 | − | 25.1639i | −0.899285 | − | 1.55761i | ||||
\(262\) | − | 26.0357i | − | 1.60849i | ||||||
\(263\) | −3.59707 | − | 6.23031i | −0.221805 | − | 0.384177i | 0.733551 | − | 0.679634i | \(-0.237861\pi\) |
−0.955356 | + | 0.295457i | \(0.904528\pi\) | |||||||
\(264\) | 0.232681 | − | 0.403016i | 0.0143205 | − | 0.0248039i | ||||
\(265\) | −12.4810 | − | 7.20593i | −0.766704 | − | 0.442657i | ||||
\(266\) | 13.7579i | 0.843550i | ||||||||
\(267\) | −2.06325 | + | 1.19122i | −0.126269 | + | 0.0729013i | ||||
\(268\) | −12.5564 | + | 7.24944i | −0.767004 | + | 0.442830i | ||||
\(269\) | 12.1785 | 0.742538 | 0.371269 | − | 0.928525i | \(-0.378923\pi\) | ||||
0.371269 | + | 0.928525i | \(0.378923\pi\) | |||||||
\(270\) | 1.70382 | − | 2.95110i | 0.103691 | − | 0.179598i | ||||
\(271\) | 2.92260 | − | 1.68736i | 0.177535 | − | 0.102500i | −0.408599 | − | 0.912714i | \(-0.633982\pi\) |
0.586134 | + | 0.810214i | \(0.300649\pi\) | |||||||
\(272\) | 3.56616 | − | 6.17677i | 0.216230 | − | 0.374522i | ||||
\(273\) | −1.31181 | + | 0.228739i | −0.0793941 | + | 0.0138439i | ||||
\(274\) | −20.2597 | − | 35.0909i | −1.22394 | − | 2.11992i | ||||
\(275\) | −2.93413 | + | 1.69402i | −0.176935 | + | 0.102153i | ||||
\(276\) | −2.16886 | −0.130550 | ||||||||
\(277\) | 5.77142 | − | 9.99640i | 0.346771 | − | 0.600625i | −0.638903 | − | 0.769288i | \(-0.720611\pi\) |
0.985674 | + | 0.168662i | \(0.0539447\pi\) | |||||||
\(278\) | − | 27.1709i | − | 1.62960i | ||||||
\(279\) | −11.6148 | + | 11.8411i | −0.695360 | + | 0.708910i | ||||
\(280\) | −6.59211 | − | 3.80596i | −0.393954 | − | 0.227450i | ||||
\(281\) | − | 2.34103i | − | 0.139654i | −0.997559 | − | 0.0698271i | \(-0.977755\pi\) | ||
0.997559 | − | 0.0698271i | \(-0.0222447\pi\) | |||||||
\(282\) | 1.43786 | + | 2.49045i | 0.0856236 | + | 0.148304i | ||||
\(283\) | 4.39693 | + | 7.61570i | 0.261370 | + | 0.452707i | 0.966606 | − | 0.256266i | \(-0.0824923\pi\) |
−0.705236 | + | 0.708973i | \(0.749159\pi\) | |||||||
\(284\) | 15.0221 | + | 8.67303i | 0.891399 | + | 0.514650i | ||||
\(285\) | 0.322987 | − | 0.559431i | 0.0191321 | − | 0.0331378i | ||||
\(286\) | −14.3620 | − | 5.25827i | −0.849245 | − | 0.310928i | ||||
\(287\) | −27.6576 | −1.63258 | ||||||||
\(288\) | 19.2779 | + | 11.1301i | 1.13596 | + | 0.655846i | ||||
\(289\) | 1.52785 | − | 2.64631i | 0.0898732 | − | 0.155665i | ||||
\(290\) | 38.4007 | 2.25496 | ||||||||
\(291\) | −0.456150 | − | 0.263358i | −0.0267400 | − | 0.0154383i | ||||
\(292\) | − | 0.927267i | − | 0.0542642i | ||||||
\(293\) | −10.1336 | + | 5.85065i | −0.592013 | + | 0.341799i | −0.765893 | − | 0.642968i | \(-0.777703\pi\) |
0.173880 | + | 0.984767i | \(0.444369\pi\) | |||||||
\(294\) | 0.155126i | 0.00904716i | ||||||||
\(295\) | −4.06412 | + | 7.03926i | −0.236622 | + | 0.409841i | ||||
\(296\) | −10.2055 | −0.593183 | ||||||||
\(297\) | 1.45771 | + | 0.841609i | 0.0845849 | + | 0.0488351i | ||||
\(298\) | −18.8872 | + | 32.7136i | −1.09411 | + | 1.89505i | ||||
\(299\) | 3.36470 | + | 19.2964i | 0.194586 | + | 1.11594i | ||||
\(300\) | −0.347767 | − | 0.602349i | −0.0200783 | − | 0.0347767i | ||||
\(301\) | 15.6471 | + | 9.03385i | 0.901883 | + | 0.520703i | ||||
\(302\) | 13.5210 | + | 23.4191i | 0.778046 | + | 1.34762i | ||||
\(303\) | 1.19046 | + | 2.06194i | 0.0683901 | + | 0.118455i | ||||
\(304\) | 4.08942 | + | 2.36103i | 0.234544 | + | 0.135414i | ||||
\(305\) | − | 0.449848i | − | 0.0257582i | ||||||
\(306\) | −21.0141 | − | 12.1325i | −1.20130 | − | 0.693569i | ||||
\(307\) | 1.70910 | + | 0.986747i | 0.0975432 | + | 0.0563166i | 0.547978 | − | 0.836493i | \(-0.315398\pi\) |
−0.450435 | + | 0.892809i | \(0.648731\pi\) | |||||||
\(308\) | 6.84135 | − | 11.8496i | 0.389822 | − | 0.675192i | ||||
\(309\) | −1.03440 | − | 1.79164i | −0.0588451 | − | 0.101923i | ||||
\(310\) | −5.87746 | − | 21.1178i | −0.333817 | − | 1.19941i | ||||
\(311\) | −16.7773 | −0.951355 | −0.475677 | − | 0.879620i | \(-0.657797\pi\) | ||||
−0.475677 | + | 0.879620i | \(0.657797\pi\) | |||||||
\(312\) | 0.296633 | − | 0.810202i | 0.0167936 | − | 0.0458687i | ||||
\(313\) | 3.42282 | − | 5.92850i | 0.193469 | − | 0.335099i | −0.752928 | − | 0.658103i | \(-0.771359\pi\) |
0.946398 | + | 0.323004i | \(0.104693\pi\) | |||||||
\(314\) | 0.190097 | − | 0.109752i | 0.0107278 | − | 0.00619369i | ||||
\(315\) | 6.85895 | − | 11.8801i | 0.386458 | − | 0.669365i | ||||
\(316\) | −13.8277 | − | 23.9503i | −0.777870 | − | 1.34731i | ||||
\(317\) | −20.1304 | − | 11.6223i | −1.13063 | − | 0.652772i | −0.186540 | − | 0.982447i | \(-0.559727\pi\) |
−0.944094 | + | 0.329675i | \(0.893061\pi\) | |||||||
\(318\) | 2.18346 | + | 1.26062i | 0.122443 | + | 0.0706923i | ||||
\(319\) | 18.9682i | 1.06201i | ||||||||
\(320\) | −19.5060 | + | 11.2618i | −1.09042 | + | 0.629553i | ||||
\(321\) | −0.284576 | −0.0158835 | ||||||||
\(322\) | −30.2316 | −1.68474 | ||||||||
\(323\) | −7.99517 | − | 4.61601i | −0.444863 | − | 0.256842i | ||||
\(324\) | 12.1508 | − | 21.0458i | 0.675046 | − | 1.16921i | ||||
\(325\) | −4.81960 | + | 4.02855i | −0.267343 | + | 0.223464i | ||||
\(326\) | 42.4497 | 2.35107 | ||||||||
\(327\) | 1.00548i | 0.0556034i | ||||||||
\(328\) | 8.96024 | − | 15.5196i | 0.494747 | − | 0.856926i | ||||
\(329\) | 11.6174 | + | 20.1218i | 0.640485 | + | 1.10935i | ||||
\(330\) | −0.959858 | + | 0.554174i | −0.0528385 | + | 0.0305063i | ||||
\(331\) | − | 0.241070i | − | 0.0132504i | −0.999978 | − | 0.00662520i | \(-0.997891\pi\) | ||
0.999978 | − | 0.00662520i | \(-0.00210888\pi\) | |||||||
\(332\) | − | 44.1069i | − | 2.42068i | ||||||
\(333\) | − | 18.3920i | − | 1.00787i | ||||||
\(334\) | −2.65542 | − | 4.59932i | −0.145298 | − | 0.251664i | ||||
\(335\) | 9.48917 | 0.518449 | ||||||||
\(336\) | −0.610892 | − | 0.352699i | −0.0333269 | − | 0.0192413i | ||||
\(337\) | −18.5926 | −1.01280 | −0.506402 | − | 0.862298i | \(-0.669025\pi\) | ||||
−0.506402 | + | 0.862298i | \(0.669025\pi\) | |||||||
\(338\) | −27.9065 | − | 5.03004i | −1.51791 | − | 0.273598i | ||||
\(339\) | −0.816592 | −0.0443512 | ||||||||
\(340\) | 16.0976 | − | 9.29396i | 0.873016 | − | 0.504036i | ||||
\(341\) | 10.4312 | − | 2.90319i | 0.564882 | − | 0.157217i | ||||
\(342\) | 8.03250 | − | 13.9127i | 0.434348 | − | 0.752312i | ||||
\(343\) | 19.1119i | 1.03195i | ||||||||
\(344\) | −10.1384 | + | 5.85340i | −0.546625 | + | 0.315594i | ||||
\(345\) | 1.22930 | + | 0.709734i | 0.0661830 | + | 0.0382108i | ||||
\(346\) | 11.3177 | − | 6.53426i | 0.608442 | − | 0.351284i | ||||
\(347\) | 7.99765 | + | 13.8523i | 0.429336 | + | 0.743632i | 0.996814 | − | 0.0797562i | \(-0.0254142\pi\) |
−0.567478 | + | 0.823389i | \(0.692081\pi\) | |||||||
\(348\) | −3.89398 | −0.208739 | ||||||||
\(349\) | 8.96805 | − | 5.17771i | 0.480049 | − | 0.277156i | −0.240388 | − | 0.970677i | \(-0.577275\pi\) |
0.720437 | + | 0.693521i | \(0.243941\pi\) | |||||||
\(350\) | −4.84750 | − | 8.39611i | −0.259110 | − | 0.448791i | ||||
\(351\) | 2.93050 | + | 1.07292i | 0.156419 | + | 0.0572684i | ||||
\(352\) | −7.26568 | − | 12.5845i | −0.387262 | − | 0.670757i | ||||
\(353\) | − | 11.7034i | − | 0.622911i | −0.950261 | − | 0.311456i | \(-0.899184\pi\) | ||
0.950261 | − | 0.311456i | \(-0.100816\pi\) | |||||||
\(354\) | 0.710987 | − | 1.23147i | 0.0377886 | − | 0.0654517i | ||||
\(355\) | −5.67629 | − | 9.83162i | −0.301266 | − | 0.521808i | ||||
\(356\) | − | 45.3875i | − | 2.40553i | ||||||
\(357\) | 1.19435 | + | 0.689557i | 0.0632116 | + | 0.0364952i | ||||
\(358\) | 28.6830 | − | 16.5602i | 1.51595 | − | 0.875232i | ||||
\(359\) | 27.6725 | − | 15.9767i | 1.46050 | − | 0.843220i | 0.461466 | − | 0.887158i | \(-0.347324\pi\) |
0.999034 | + | 0.0439378i | \(0.0139904\pi\) | |||||||
\(360\) | 4.44420 | + | 7.69757i | 0.234230 | + | 0.405698i | ||||
\(361\) | −6.44390 | + | 11.1612i | −0.339153 | + | 0.587430i | ||||
\(362\) | −19.7484 | − | 11.4017i | −1.03795 | − | 0.599262i | ||||
\(363\) | 0.522453 | + | 0.904915i | 0.0274217 | + | 0.0474957i | ||||
\(364\) | 8.72168 | − | 23.8217i | 0.457140 | − | 1.24860i | ||||
\(365\) | −0.303437 | + | 0.525568i | −0.0158826 | + | 0.0275095i | ||||
\(366\) | 0.0786977i | 0.00411359i | ||||||||
\(367\) | −1.50123 | + | 2.60021i | −0.0783637 | + | 0.135730i | −0.902544 | − | 0.430597i | \(-0.858303\pi\) |
0.824180 | + | 0.566327i | \(0.191636\pi\) | |||||||
\(368\) | −5.18813 | + | 8.98610i | −0.270450 | + | 0.468433i | ||||
\(369\) | 27.9688 | + | 16.1478i | 1.45600 | + | 0.840621i | ||||
\(370\) | 21.0499 | + | 12.1532i | 1.09433 | + | 0.631813i | ||||
\(371\) | 17.6415 | + | 10.1853i | 0.915900 | + | 0.528795i | ||||
\(372\) | 0.595998 | + | 2.14143i | 0.0309010 | + | 0.111028i | ||||
\(373\) | 9.52291 | − | 16.4942i | 0.493078 | − | 0.854036i | −0.506891 | − | 0.862010i | \(-0.669205\pi\) |
0.999968 | + | 0.00797484i | \(0.00253850\pi\) | |||||||
\(374\) | 7.92005 | + | 13.7179i | 0.409536 | + | 0.709338i | ||||
\(375\) | 1.76164i | 0.0909708i | ||||||||
\(376\) | −15.0547 | −0.776387 | ||||||||
\(377\) | 6.04100 | + | 34.6448i | 0.311127 | + | 1.78430i | ||||
\(378\) | −2.40829 | + | 4.17128i | −0.123869 | + | 0.214547i | ||||
\(379\) | 15.6708i | 0.804954i | 0.915430 | + | 0.402477i | \(0.131851\pi\) | ||||
−0.915430 | + | 0.402477i | \(0.868149\pi\) | |||||||
\(380\) | 6.15320 | + | 10.6577i | 0.315652 | + | 0.546726i | ||||
\(381\) | 1.48814 | 0.0762396 | ||||||||
\(382\) | 20.8634 | − | 12.0455i | 1.06746 | − | 0.616300i | ||||
\(383\) | 32.3139i | 1.65116i | 0.564282 | + | 0.825582i | \(0.309153\pi\) | ||||
−0.564282 | + | 0.825582i | \(0.690847\pi\) | |||||||
\(384\) | 1.53888 | − | 0.888471i | 0.0785305 | − | 0.0453396i | ||||
\(385\) | −7.75526 | + | 4.47750i | −0.395245 | + | 0.228195i | ||||
\(386\) | −15.5025 | − | 26.8512i | −0.789058 | − | 1.36669i | ||||
\(387\) | −10.5488 | − | 18.2710i | −0.536224 | − | 0.928768i | ||||
\(388\) | 8.69006 | − | 5.01721i | 0.441171 | − | 0.254710i | ||||
\(389\) | 18.5330 | − | 32.1000i | 0.939658 | − | 1.62754i | 0.173550 | − | 0.984825i | \(-0.444476\pi\) |
0.766109 | − | 0.642711i | \(-0.222190\pi\) | |||||||
\(390\) | −1.57666 | + | 1.31788i | −0.0798373 | + | 0.0667335i | ||||
\(391\) | 10.1433 | − | 17.5686i | 0.512966 | − | 0.888484i | ||||
\(392\) | −0.703300 | − | 0.406051i | −0.0355220 | − | 0.0205087i | ||||
\(393\) | 0.863948 | − | 1.49640i | 0.0435804 | − | 0.0754835i | ||||
\(394\) | −4.79148 | −0.241391 | ||||||||
\(395\) | 18.0998i | 0.910702i | ||||||||
\(396\) | −13.8367 | + | 7.98860i | −0.695319 | + | 0.401442i | ||||
\(397\) | 14.3527 | − | 8.28653i | 0.720341 | − | 0.415889i | −0.0945374 | − | 0.995521i | \(-0.530137\pi\) |
0.814878 | + | 0.579632i | \(0.196804\pi\) | |||||||
\(398\) | 7.49006 | − | 4.32439i | 0.375443 | − | 0.216762i | ||||
\(399\) | −0.456531 | + | 0.790735i | −0.0228551 | + | 0.0395863i | ||||
\(400\) | −3.32757 | −0.166378 | ||||||||
\(401\) | 8.84906 | − | 5.10901i | 0.441901 | − | 0.255132i | −0.262503 | − | 0.964931i | \(-0.584548\pi\) |
0.704404 | + | 0.709800i | \(0.251214\pi\) | |||||||
\(402\) | −1.66006 | −0.0827963 | ||||||||
\(403\) | 18.1277 | − | 8.62474i | 0.903005 | − | 0.429629i | ||||
\(404\) | −45.3586 | −2.25668 | ||||||||
\(405\) | −13.7740 | + | 7.95242i | −0.684436 | + | 0.395159i | ||||
\(406\) | −54.2780 | −2.69377 | ||||||||
\(407\) | −6.00311 | + | 10.3977i | −0.297563 | + | 0.515394i | ||||
\(408\) | −0.773867 | + | 0.446792i | −0.0383121 | + | 0.0221195i | ||||
\(409\) | −31.1229 | + | 17.9688i | −1.53893 | + | 0.888502i | −0.540029 | + | 0.841647i | \(0.681587\pi\) |
−0.998902 | + | 0.0468552i | \(0.985080\pi\) | |||||||
\(410\) | −36.9628 | + | 21.3405i | −1.82546 | + | 1.05393i | ||||
\(411\) | − | 2.68914i | − | 0.132645i | ||||||
\(412\) | 39.4126 | 1.94172 | ||||||||
\(413\) | 5.74448 | − | 9.94974i | 0.282668 | − | 0.489595i | ||||
\(414\) | 30.5718 | + | 17.6506i | 1.50252 | + | 0.867482i | ||||
\(415\) | −14.4335 | + | 24.9995i | −0.708511 | + | 1.22718i | ||||
\(416\) | −17.2785 | − | 20.6713i | −0.847147 | − | 1.01349i | ||||
\(417\) | 0.901618 | − | 1.56165i | 0.0441524 | − | 0.0764742i | ||||
\(418\) | −9.08215 | + | 5.24358i | −0.444223 | + | 0.256472i | ||||
\(419\) | −7.12989 | − | 12.3493i | −0.348318 | − | 0.603304i | 0.637633 | − | 0.770340i | \(-0.279914\pi\) |
−0.985951 | + | 0.167036i | \(0.946580\pi\) | |||||||
\(420\) | −0.919187 | − | 1.59208i | −0.0448518 | − | 0.0776855i | ||||
\(421\) | −13.5428 | + | 7.81892i | −0.660034 | + | 0.381071i | −0.792290 | − | 0.610145i | \(-0.791111\pi\) |
0.132256 | + | 0.991216i | \(0.457778\pi\) | |||||||
\(422\) | 26.5098 | − | 15.3054i | 1.29048 | − | 0.745056i | ||||
\(423\) | − | 27.1310i | − | 1.31916i | ||||||
\(424\) | −11.4306 | + | 6.59948i | −0.555121 | + | 0.320499i | ||||
\(425\) | 6.50569 | 0.315572 | ||||||||
\(426\) | 0.993025 | + | 1.71997i | 0.0481122 | + | 0.0833328i | ||||
\(427\) | 0.635844i | 0.0307707i | ||||||||
\(428\) | 2.71072 | − | 4.69510i | 0.131027 | − | 0.226946i | ||||
\(429\) | −0.650973 | − | 0.778798i | −0.0314293 | − | 0.0376007i | ||||
\(430\) | 27.8820 | 1.34459 | ||||||||
\(431\) | − | 31.7843i | − | 1.53099i | −0.643440 | − | 0.765497i | \(-0.722493\pi\) | ||
0.643440 | − | 0.765497i | \(-0.277507\pi\) | |||||||
\(432\) | 0.826585 | + | 1.43169i | 0.0397691 | + | 0.0688821i | ||||
\(433\) | −17.0916 | + | 29.6035i | −0.821368 | + | 1.42265i | 0.0832953 | + | 0.996525i | \(0.473456\pi\) |
−0.904664 | + | 0.426127i | \(0.859878\pi\) | |||||||
\(434\) | 8.30758 | + | 29.8492i | 0.398776 | + | 1.43281i | ||||
\(435\) | 2.20708 | + | 1.27426i | 0.105821 | + | 0.0610960i | ||||
\(436\) | −16.5890 | − | 9.57769i | −0.794471 | − | 0.458688i | ||||
\(437\) | 11.6316 | + | 6.71548i | 0.556413 | + | 0.321245i | ||||
\(438\) | 0.0530841 | − | 0.0919443i | 0.00253646 | − | 0.00439327i | ||||
\(439\) | 8.62972 | − | 14.9471i | 0.411874 | − | 0.713387i | −0.583221 | − | 0.812314i | \(-0.698208\pi\) |
0.995095 | + | 0.0989269i | \(0.0315410\pi\) | |||||||
\(440\) | − | 5.80231i | − | 0.276614i | ||||||
\(441\) | 0.731769 | − | 1.26746i | 0.0348461 | − | 0.0603553i | ||||
\(442\) | 18.8347 | + | 22.5330i | 0.895873 | + | 1.07179i | ||||
\(443\) | −12.0506 | − | 20.8723i | −0.572543 | − | 0.991674i | −0.996304 | − | 0.0858995i | \(-0.972624\pi\) |
0.423761 | − | 0.905774i | \(-0.360710\pi\) | |||||||
\(444\) | −2.13455 | − | 1.23238i | −0.101301 | − | 0.0584862i | ||||
\(445\) | −14.8525 | + | 25.7253i | −0.704077 | + | 1.21950i | ||||
\(446\) | −1.87318 | − | 3.24445i | −0.0886978 | − | 0.153629i | ||||
\(447\) | −2.17108 | + | 1.25348i | −0.102689 | + | 0.0592874i | ||||
\(448\) | 27.5710 | − | 15.9181i | 1.30261 | − | 0.752061i | ||||
\(449\) | −26.9848 | − | 15.5797i | −1.27349 | − | 0.735250i | −0.297847 | − | 0.954614i | \(-0.596268\pi\) |
−0.975643 | + | 0.219364i | \(0.929602\pi\) | |||||||
\(450\) | 11.3208i | 0.533667i | ||||||||
\(451\) | −10.5412 | − | 18.2579i | −0.496367 | − | 0.859733i | ||||
\(452\) | 7.77840 | − | 13.4726i | 0.365865 | − | 0.633697i | ||||
\(453\) | 1.79468i | 0.0843215i | ||||||||
\(454\) | 25.2060 | + | 43.6581i | 1.18298 | + | 2.04898i | ||||
\(455\) | −12.7388 | + | 10.6479i | −0.597203 | + | 0.499183i | ||||
\(456\) | −0.295805 | − | 0.512349i | −0.0138523 | − | 0.0239930i | ||||
\(457\) | −25.8142 | + | 14.9038i | −1.20754 | + | 0.697172i | −0.962221 | − | 0.272271i | \(-0.912225\pi\) |
−0.245317 | + | 0.969443i | \(0.578892\pi\) | |||||||
\(458\) | 4.11027 | 0.192060 | ||||||||
\(459\) | −1.61605 | − | 2.79908i | −0.0754306 | − | 0.130650i | ||||
\(460\) | −23.4192 | + | 13.5211i | −1.09192 | + | 0.630423i | ||||
\(461\) | 8.22549 | + | 4.74899i | 0.383099 | + | 0.221182i | 0.679166 | − | 0.733985i | \(-0.262342\pi\) |
−0.296067 | + | 0.955167i | \(0.595675\pi\) | |||||||
\(462\) | 1.35673 | − | 0.783306i | 0.0631206 | − | 0.0364427i | ||||
\(463\) | − | 6.74496i | − | 0.313465i | −0.987641 | − | 0.156732i | \(-0.949904\pi\) | ||
0.987641 | − | 0.156732i | \(-0.0500960\pi\) | |||||||
\(464\) | −9.31478 | + | 16.1337i | −0.432428 | + | 0.748987i | ||||
\(465\) | 0.362949 | − | 1.40878i | 0.0168314 | − | 0.0653305i | ||||
\(466\) | −33.2950 | + | 19.2229i | −1.54236 | + | 0.890483i | ||||
\(467\) | 7.67226 | 0.355030 | 0.177515 | − | 0.984118i | \(-0.443194\pi\) | ||||
0.177515 | + | 0.984118i | \(0.443194\pi\) | |||||||
\(468\) | −22.7281 | + | 18.9977i | −1.05061 | + | 0.878168i | ||||
\(469\) | −13.4126 | −0.619336 | ||||||||
\(470\) | 31.0519 | + | 17.9278i | 1.43232 | + | 0.826948i | ||||
\(471\) | 0.0145678 | 0.000671247 | ||||||||
\(472\) | 3.72208 | + | 6.44684i | 0.171323 | + | 0.296740i | ||||
\(473\) | 13.7724i | 0.633256i | ||||||||
\(474\) | − | 3.16643i | − | 0.145439i | ||||||
\(475\) | 4.30718i | 0.197627i | ||||||||
\(476\) | −22.7534 | + | 13.1367i | −1.04290 | + | 0.602119i | ||||
\(477\) | −11.8933 | − | 20.5999i | −0.544558 | − | 0.943203i | ||||
\(478\) | 18.6597 | − | 32.3196i | 0.853476 | − | 1.47826i | ||||
\(479\) | 14.7863i | 0.675601i | 0.941218 | + | 0.337801i | \(0.109683\pi\) | ||||
−0.941218 | + | 0.337801i | \(0.890317\pi\) | |||||||
\(480\) | −1.95240 | −0.0891144 | ||||||||
\(481\) | −7.65305 | + | 20.9030i | −0.348949 | + | 0.953094i | ||||
\(482\) | −5.95668 | + | 10.3173i | −0.271319 | + | 0.469939i | ||||
\(483\) | −1.73757 | − | 1.00318i | −0.0790620 | − | 0.0456464i | ||||
\(484\) | −19.9064 | −0.904836 | ||||||||
\(485\) | −6.56729 | −0.298205 | ||||||||
\(486\) | 7.31470 | − | 4.22314i | 0.331802 | − | 0.191566i | ||||
\(487\) | − | 7.34133i | − | 0.332667i | −0.986070 | − | 0.166334i | \(-0.946807\pi\) | ||
0.986070 | − | 0.166334i | \(-0.0531929\pi\) | |||||||
\(488\) | −0.356793 | − | 0.205995i | −0.0161513 | − | 0.00932495i | ||||
\(489\) | 2.43980 | + | 1.40862i | 0.110331 | + | 0.0636999i | ||||
\(490\) | 0.967086 | + | 1.67504i | 0.0436885 | + | 0.0756707i | ||||
\(491\) | 20.7481 | − | 35.9368i | 0.936350 | − | 1.62180i | 0.164140 | − | 0.986437i | \(-0.447515\pi\) |
0.772210 | − | 0.635368i | \(-0.219152\pi\) | |||||||
\(492\) | 3.74818 | − | 2.16401i | 0.168981 | − | 0.0975612i | ||||
\(493\) | 18.2112 | − | 31.5428i | 0.820192 | − | 1.42061i | ||||
\(494\) | −14.9183 | + | 12.4698i | −0.671207 | + | 0.561041i | ||||
\(495\) | 10.4567 | 0.469994 | ||||||||
\(496\) | 10.2981 | + | 2.65314i | 0.462399 | + | 0.119130i | ||||
\(497\) | 8.02323 | + | 13.8966i | 0.359891 | + | 0.623350i | ||||
\(498\) | 2.52503 | − | 4.37348i | 0.113149 | − | 0.195980i | ||||
\(499\) | −2.57595 | − | 1.48723i | −0.115315 | − | 0.0665774i | 0.441233 | − | 0.897393i | \(-0.354541\pi\) |
−0.556548 | + | 0.830815i | \(0.687875\pi\) | |||||||
\(500\) | −29.0646 | − | 16.7804i | −1.29981 | − | 0.750444i | ||||
\(501\) | − | 0.352462i | − | 0.0157468i | ||||||
\(502\) | 23.1468 | + | 13.3638i | 1.03309 | + | 0.596455i | ||||
\(503\) | 8.30859 | + | 14.3909i | 0.370462 | + | 0.641659i | 0.989637 | − | 0.143595i | \(-0.0458661\pi\) |
−0.619175 | + | 0.785253i | \(0.712533\pi\) | |||||||
\(504\) | −6.28171 | − | 10.8802i | −0.279810 | − | 0.484645i | ||||
\(505\) | 25.7089 | + | 14.8431i | 1.14403 | + | 0.660508i | ||||
\(506\) | −11.5223 | − | 19.9572i | −0.512228 | − | 0.887204i | ||||
\(507\) | −1.43702 | − | 1.21513i | −0.0638201 | − | 0.0539659i | ||||
\(508\) | −14.1752 | + | 24.5521i | −0.628922 | + | 1.08932i | ||||
\(509\) | −6.12075 | − | 3.53381i | −0.271297 | − | 0.156634i | 0.358180 | − | 0.933653i | \(-0.383397\pi\) |
−0.629477 | + | 0.777019i | \(0.716731\pi\) | |||||||
\(510\) | 2.12824 | 0.0942400 | ||||||||
\(511\) | 0.428897 | − | 0.742872i | 0.0189733 | − | 0.0328627i | ||||
\(512\) | − | 20.5865i | − | 0.909805i | ||||||
\(513\) | 1.85317 | − | 1.06993i | 0.0818194 | − | 0.0472384i | ||||
\(514\) | 0.795634i | 0.0350939i | ||||||||
\(515\) | −22.3388 | − | 12.8973i | −0.984364 | − | 0.568323i | ||||
\(516\) | −2.82734 | −0.124467 | ||||||||
\(517\) | −8.85552 | + | 15.3382i | −0.389465 | + | 0.674573i | ||||
\(518\) | −29.7533 | − | 17.1781i | −1.30729 | − | 0.754761i | ||||
\(519\) | 0.867312 | 0.0380708 | ||||||||
\(520\) | −1.84792 | − | 10.5978i | −0.0810368 | − | 0.464742i | ||||
\(521\) | 1.02615 | − | 1.77734i | 0.0449563 | − | 0.0778666i | −0.842672 | − | 0.538428i | \(-0.819018\pi\) |
0.887628 | + | 0.460561i | \(0.152352\pi\) | |||||||
\(522\) | 54.8887 | + | 31.6900i | 2.40241 | + | 1.38703i | ||||
\(523\) | 3.02324 | + | 5.23640i | 0.132197 | + | 0.228972i | 0.924523 | − | 0.381126i | \(-0.124464\pi\) |
−0.792326 | + | 0.610098i | \(0.791130\pi\) | |||||||
\(524\) | 16.4590 | + | 28.5078i | 0.719014 | + | 1.24537i | ||||
\(525\) | − | 0.643423i | − | 0.0280813i | ||||||
\(526\) | 13.5898 | + | 7.84610i | 0.592545 | + | 0.342106i | ||||
\(527\) | −20.1337 | − | 5.18713i | −0.877039 | − | 0.225955i | ||||
\(528\) | − | 0.537701i | − | 0.0234004i | ||||||
\(529\) | −3.25664 | + | 5.64067i | −0.141593 | + | 0.245246i | ||||
\(530\) | 31.4358 | 1.36548 | ||||||||
\(531\) | −11.6182 | + | 6.70780i | −0.504189 | + | 0.291094i | ||||
\(532\) | −8.69733 | − | 15.0642i | −0.377077 | − | 0.653116i | ||||
\(533\) | −25.0681 | − | 29.9905i | −1.08582 | − | 1.29903i | ||||
\(534\) | 2.59834 | − | 4.50045i | 0.112441 | − | 0.194754i | ||||
\(535\) | −3.07283 | + | 1.77410i | −0.132850 | + | 0.0767010i | ||||
\(536\) | 4.34528 | − | 7.52625i | 0.187688 | − | 0.325085i | ||||
\(537\) | 2.19808 | 0.0948542 | ||||||||
\(538\) | −23.0054 | + | 13.2822i | −0.991834 | + | 0.572636i | ||||
\(539\) | −0.827394 | + | 0.477696i | −0.0356384 | + | 0.0205758i | ||||
\(540\) | 4.30842i | 0.185405i | ||||||||
\(541\) | −6.82338 | − | 3.93948i | −0.293360 | − | 0.169371i | 0.346096 | − | 0.938199i | \(-0.387507\pi\) |
−0.639456 | + | 0.768828i | \(0.720840\pi\) | |||||||
\(542\) | −3.68056 | + | 6.37492i | −0.158094 | + | 0.273826i | ||||
\(543\) | −0.756694 | − | 1.31063i | −0.0324728 | − | 0.0562446i | ||||
\(544\) | 27.9029i | 1.19633i | ||||||||
\(545\) | 6.26837 | + | 10.8571i | 0.268508 | + | 0.465069i | ||||
\(546\) | 2.22855 | − | 1.86278i | 0.0953733 | − | 0.0797195i | ||||
\(547\) | 19.2082 | + | 33.2695i | 0.821281 | + | 1.42250i | 0.904729 | + | 0.425989i | \(0.140074\pi\) |
−0.0834473 | + | 0.996512i | \(0.526593\pi\) | |||||||
\(548\) | 44.3669 | + | 25.6152i | 1.89526 | + | 1.09423i | ||||
\(549\) | 0.371236 | − | 0.642999i | 0.0158440 | − | 0.0274425i | ||||
\(550\) | 3.69508 | − | 6.40007i | 0.157559 | − | 0.272900i | ||||
\(551\) | 20.8833 | + | 12.0570i | 0.889660 | + | 0.513646i | ||||
\(552\) | 1.12584 | − | 0.650004i | 0.0479189 | − | 0.0276660i | ||||
\(553\) | − | 25.5835i | − | 1.08792i | ||||||
\(554\) | 25.1778i | 1.06970i | ||||||||
\(555\) | 0.806564 | + | 1.39701i | 0.0342367 | + | 0.0592997i | ||||
\(556\) | 17.1766 | + | 29.7508i | 0.728451 | + | 1.26171i | ||||
\(557\) | −3.40611 | + | 1.96652i | −0.144321 | + | 0.0833240i | −0.570422 | − | 0.821352i | \(-0.693220\pi\) |
0.426101 | + | 0.904676i | \(0.359887\pi\) | |||||||
\(558\) | 9.02632 | − | 35.0355i | 0.382114 | − | 1.48317i | ||||
\(559\) | 4.38625 | + | 25.1549i | 0.185518 | + | 1.06394i | ||||
\(560\) | −8.79515 | −0.371663 | ||||||||
\(561\) | 1.05125i | 0.0443839i | ||||||||
\(562\) | 2.55318 | + | 4.42224i | 0.107700 | + | 0.186541i | ||||
\(563\) | −28.7728 | −1.21263 | −0.606314 | − | 0.795226i | \(-0.707352\pi\) | ||||
−0.606314 | + | 0.795226i | \(0.707352\pi\) | |||||||
\(564\) | −3.14878 | − | 1.81795i | −0.132588 | − | 0.0765496i | ||||
\(565\) | −8.81749 | + | 5.09078i | −0.370954 | + | 0.214171i | ||||
\(566\) | −16.6117 | − | 9.59079i | −0.698243 | − | 0.403131i | ||||
\(567\) | 19.4691 | − | 11.2405i | 0.817623 | − | 0.472055i | ||||
\(568\) | −10.3972 | −0.436255 | ||||||||
\(569\) | 6.96294 | − | 12.0602i | 0.291902 | − | 0.505589i | −0.682358 | − | 0.731018i | \(-0.739045\pi\) |
0.974259 | + | 0.225430i | \(0.0723786\pi\) | |||||||
\(570\) | 1.40903i | 0.0590178i | ||||||||
\(571\) | 12.7133 | + | 22.0200i | 0.532033 | + | 0.921509i | 0.999301 | + | 0.0373925i | \(0.0119052\pi\) |
−0.467267 | + | 0.884116i | \(0.654761\pi\) | |||||||
\(572\) | 19.0499 | − | 3.32171i | 0.796514 | − | 0.138888i | ||||
\(573\) | 1.59883 | 0.0667922 | ||||||||
\(574\) | 52.2456 | − | 30.1640i | 2.18069 | − | 1.25902i | ||||
\(575\) | −9.46463 | −0.394702 | ||||||||
\(576\) | −37.1750 | −1.54896 | ||||||||
\(577\) | −32.7655 | − | 18.9172i | −1.36405 | − | 0.787533i | −0.373887 | − | 0.927474i | \(-0.621975\pi\) |
−0.990160 | + | 0.139941i | \(0.955309\pi\) | |||||||
\(578\) | 6.66522i | 0.277237i | ||||||||
\(579\) | − | 2.05770i | − | 0.0855150i | ||||||
\(580\) | −42.0469 | + | 24.2758i | −1.74590 | + | 1.00800i | ||||
\(581\) | 20.4012 | − | 35.3359i | 0.846384 | − | 1.46598i | ||||
\(582\) | 1.14890 | 0.0476234 | ||||||||
\(583\) | 15.5278i | 0.643098i | ||||||||
\(584\) | 0.277900 | + | 0.481337i | 0.0114996 | + | 0.0199179i | ||||
\(585\) | 19.0989 | − | 3.33026i | 0.789641 | − | 0.137689i | ||||
\(586\) | 12.7617 | − | 22.1039i | 0.527182 | − | 0.913106i | ||||
\(587\) | −1.56719 | + | 0.904815i | −0.0646847 | + | 0.0373457i | −0.531994 | − | 0.846748i | \(-0.678557\pi\) |
0.467309 | + | 0.884094i | \(0.345224\pi\) | |||||||
\(588\) | −0.0980664 | − | 0.169856i | −0.00404419 | − | 0.00700474i | ||||
\(589\) | 3.43421 | − | 13.3298i | 0.141504 | − | 0.549246i | ||||
\(590\) | − | 17.7297i | − | 0.729920i | ||||||
\(591\) | −0.275390 | − | 0.158997i | −0.0113281 | − | 0.00654025i | ||||
\(592\) | −10.2121 | + | 5.89595i | −0.419714 | + | 0.242322i | ||||
\(593\) | 1.51685i | 0.0622897i | 0.999515 | + | 0.0311449i | \(0.00991532\pi\) | ||||
−0.999515 | + | 0.0311449i | \(0.990085\pi\) | |||||||
\(594\) | −3.67151 | −0.150644 | ||||||||
\(595\) | 17.1953 | 0.704938 | ||||||||
\(596\) | − | 47.7597i | − | 1.95631i | ||||||
\(597\) | 0.573989 | 0.0234918 | ||||||||
\(598\) | −27.4011 | − | 32.7816i | −1.12051 | − | 1.34054i | ||||
\(599\) | 13.3807 | + | 23.1761i | 0.546721 | + | 0.946949i | 0.998496 | + | 0.0548170i | \(0.0174575\pi\) |
−0.451775 | + | 0.892132i | \(0.649209\pi\) | |||||||
\(600\) | 0.361046 | + | 0.208450i | 0.0147396 | + | 0.00850993i | ||||
\(601\) | 15.3585 | 0.626488 | 0.313244 | − | 0.949673i | \(-0.398584\pi\) | ||||
0.313244 | + | 0.949673i | \(0.398584\pi\) | |||||||
\(602\) | −39.4101 | −1.60624 | ||||||||
\(603\) | 13.5635 | + | 7.83090i | 0.552349 | + | 0.318899i | ||||
\(604\) | −29.6097 | − | 17.0952i | −1.20480 | − | 0.695592i | ||||
\(605\) | 11.2828 | + | 6.51413i | 0.458711 | + | 0.264837i | ||||
\(606\) | −4.49759 | − | 2.59669i | −0.182702 | − | 0.105483i | ||||
\(607\) | 36.4938 | 1.48124 | 0.740618 | − | 0.671926i | \(-0.234533\pi\) | ||||
0.740618 | + | 0.671926i | \(0.234533\pi\) | |||||||
\(608\) | −18.4735 | −0.749201 | ||||||||
\(609\) | −3.11963 | − | 1.80112i | −0.126414 | − | 0.0729850i | ||||
\(610\) | 0.490615 | + | 0.849771i | 0.0198644 | + | 0.0344062i | ||||
\(611\) | −11.2894 | + | 30.8351i | −0.456722 | + | 1.24746i | ||||
\(612\) | 30.6792 | 1.24014 | ||||||||
\(613\) | − | 17.1255i | − | 0.691694i | −0.938291 | − | 0.345847i | \(-0.887592\pi\) | ||
0.938291 | − | 0.345847i | \(-0.112408\pi\) | |||||||
\(614\) | −4.30468 | −0.173723 | ||||||||
\(615\) | −2.83259 | −0.114221 | ||||||||
\(616\) | 8.20136i | 0.330442i | ||||||||
\(617\) | −0.636961 | + | 0.367750i | −0.0256431 | + | 0.0148050i | −0.512767 | − | 0.858528i | \(-0.671379\pi\) |
0.487124 | + | 0.873333i | \(0.338046\pi\) | |||||||
\(618\) | 3.90800 | + | 2.25629i | 0.157203 | + | 0.0907612i | ||||
\(619\) | − | 0.196601i | − | 0.00790205i | −0.999992 | − | 0.00395103i | \(-0.998742\pi\) | ||
0.999992 | − | 0.00395103i | \(-0.00125765\pi\) | |||||||
\(620\) | 19.7856 | + | 19.4074i | 0.794607 | + | 0.779419i | ||||
\(621\) | 2.35106 | + | 4.07216i | 0.0943449 | + | 0.163410i | ||||
\(622\) | 31.6926 | − | 18.2977i | 1.27076 | − | 0.733673i | ||||
\(623\) | 20.9935 | − | 36.3618i | 0.841086 | − | 1.45680i | ||||
\(624\) | −0.171247 | − | 0.982095i | −0.00685538 | − | 0.0393153i | ||||
\(625\) | 6.62693 | + | 11.4782i | 0.265077 | + | 0.459127i | ||||
\(626\) | 14.9320i | 0.596804i | ||||||||
\(627\) | −0.695997 | −0.0277954 | ||||||||
\(628\) | −0.138764 | + | 0.240347i | −0.00553731 | + | 0.00959090i | ||||
\(629\) | 19.9655 | − | 11.5271i | 0.796078 | − | 0.459616i | ||||
\(630\) | 29.9222i | 1.19213i | ||||||||
\(631\) | 8.85644i | 0.352569i | 0.984339 | + | 0.176285i | \(0.0564079\pi\) | ||||
−0.984339 | + | 0.176285i | \(0.943592\pi\) | |||||||
\(632\) | 14.3557 | + | 8.28829i | 0.571040 | + | 0.329690i | ||||
\(633\) | 2.03153 | 0.0807462 | ||||||||
\(634\) | 50.7021 | 2.01364 | ||||||||
\(635\) | 16.0688 | − | 9.27731i | 0.637670 | − | 0.368159i | ||||
\(636\) | −3.18772 | −0.126401 | ||||||||
\(637\) | −1.35907 | + | 1.13601i | −0.0538485 | + | 0.0450103i | ||||
\(638\) | −20.6871 | − | 35.8312i | −0.819011 | − | 1.41857i | ||||
\(639\) | − | 18.7374i | − | 0.741239i | ||||||
\(640\) | 11.0778 | − | 19.1873i | 0.437887 | − | 0.758443i | ||||
\(641\) | −4.64282 | −0.183380 | −0.0916902 | − | 0.995788i | \(-0.529227\pi\) | ||||
−0.0916902 | + | 0.995788i | \(0.529227\pi\) | |||||||
\(642\) | 0.537569 | − | 0.310366i | 0.0212162 | − | 0.0122492i | ||||
\(643\) | −26.7849 | − | 15.4643i | −1.05629 | − | 0.609852i | −0.131889 | − | 0.991264i | \(-0.542104\pi\) |
−0.924405 | + | 0.381413i | \(0.875438\pi\) | |||||||
\(644\) | 33.1022 | − | 19.1115i | 1.30441 | − | 0.753100i | ||||
\(645\) | 1.60252 | + | 0.925214i | 0.0630991 | + | 0.0364303i | ||||
\(646\) | 20.1373 | 0.792293 | ||||||||
\(647\) | −11.9370 | − | 20.6755i | −0.469293 | − | 0.812839i | 0.530091 | − | 0.847941i | \(-0.322158\pi\) |
−0.999384 | + | 0.0351016i | \(0.988825\pi\) | |||||||
\(648\) | 14.5663i | 0.572219i | ||||||||
\(649\) | 8.75765 | 0.343768 | ||||||||
\(650\) | 4.71067 | − | 12.8664i | 0.184768 | − | 0.504661i | ||||
\(651\) | −0.513015 | + | 1.99126i | −0.0201067 | + | 0.0780436i | ||||
\(652\) | −46.4803 | + | 26.8354i | −1.82031 | + | 1.05096i | ||||
\(653\) | 1.73299 | + | 3.00162i | 0.0678171 | + | 0.117463i | 0.897940 | − | 0.440118i | \(-0.145063\pi\) |
−0.830123 | + | 0.557580i | \(0.811730\pi\) | |||||||
\(654\) | −1.09661 | − | 1.89938i | −0.0428807 | − | 0.0742715i | ||||
\(655\) | − | 21.5440i | − | 0.841795i | ||||||
\(656\) | − | 20.7061i | − | 0.808438i | ||||||
\(657\) | −0.867447 | + | 0.500821i | −0.0338423 | + | 0.0195389i | ||||
\(658\) | −43.8907 | − | 25.3403i | −1.71104 | − | 0.987868i | ||||
\(659\) | −9.62296 | + | 16.6675i | −0.374857 | + | 0.649272i | −0.990306 | − | 0.138905i | \(-0.955642\pi\) |
0.615448 | + | 0.788177i | \(0.288975\pi\) | |||||||
\(660\) | 0.700666 | − | 1.21359i | 0.0272734 | − | 0.0472389i | ||||
\(661\) | 25.8318 | + | 14.9140i | 1.00474 | + | 0.580087i | 0.909647 | − | 0.415382i | \(-0.136352\pi\) |
0.0950926 | + | 0.995468i | \(0.469685\pi\) | |||||||
\(662\) | 0.262916 | + | 0.455385i | 0.0102185 | + | 0.0176990i | ||||
\(663\) | 0.334804 | + | 1.92008i | 0.0130027 | + | 0.0745699i | ||||
\(664\) | 13.2188 | + | 22.8956i | 0.512987 | + | 0.888520i | ||||
\(665\) | 11.3844i | 0.441468i | ||||||||
\(666\) | 20.0587 | + | 34.7428i | 0.777260 | + | 1.34625i | ||||
\(667\) | −26.4941 | + | 45.8892i | −1.02586 | + | 1.77684i | ||||
\(668\) | 5.81511 | + | 3.35736i | 0.224993 | + | 0.129900i | ||||
\(669\) | − | 0.248633i | − | 0.00961272i | ||||||
\(670\) | −17.9252 | + | 10.3491i | −0.692510 | + | 0.399821i | ||||
\(671\) | −0.419748 | + | 0.242341i | −0.0162042 | + | 0.00935549i | ||||
\(672\) | 2.75964 | 0.106456 | ||||||||
\(673\) | 20.5841 | − | 35.6526i | 0.793457 | − | 1.37431i | −0.130357 | − | 0.991467i | \(-0.541612\pi\) |
0.923814 | − | 0.382841i | \(-0.125054\pi\) | |||||||
\(674\) | 35.1217 | − | 20.2775i | 1.35284 | − | 0.781061i | ||||
\(675\) | −0.753964 | + | 1.30590i | −0.0290201 | + | 0.0502642i | ||||
\(676\) | 33.7361 | − | 12.1340i | 1.29754 | − | 0.466693i | ||||
\(677\) | −12.0689 | − | 20.9040i | −0.463846 | − | 0.803404i | 0.535303 | − | 0.844660i | \(-0.320197\pi\) |
−0.999149 | + | 0.0412560i | \(0.986864\pi\) | |||||||
\(678\) | 1.54255 | − | 0.890594i | 0.0592415 | − | 0.0342031i | ||||
\(679\) | 9.28263 | 0.356235 | ||||||||
\(680\) | −5.57076 | + | 9.64885i | −0.213629 | + | 0.370016i | ||||
\(681\) | 3.34567i | 0.128206i | ||||||||
\(682\) | −16.5384 | + | 16.8607i | −0.633289 | + | 0.645630i | ||||
\(683\) | 25.8064 | + | 14.8994i | 0.987456 | + | 0.570108i | 0.904513 | − | 0.426446i | \(-0.140235\pi\) |
0.0829429 | + | 0.996554i | \(0.473568\pi\) | |||||||
\(684\) | 20.3116i | 0.776635i | ||||||||
\(685\) | −16.7646 | − | 29.0371i | −0.640541 | − | 1.10945i | ||||
\(686\) | −20.8439 | − | 36.1027i | −0.795823 | − | 1.37841i | ||||
\(687\) | 0.236238 | + | 0.136392i | 0.00901304 | + | 0.00520368i | ||||
\(688\) | −6.76328 | + | 11.7143i | −0.257848 | + | 0.446605i | ||||
\(689\) | 4.94532 | + | 28.3612i | 0.188402 | + | 1.08048i | ||||
\(690\) | −3.09621 | −0.117871 | ||||||||
\(691\) | −10.8978 | − | 6.29187i | −0.414573 | − | 0.239354i | 0.278180 | − | 0.960529i | \(-0.410269\pi\) |
−0.692753 | + | 0.721175i | \(0.743602\pi\) | |||||||
\(692\) | −8.26154 | + | 14.3094i | −0.314057 | + | 0.543962i | ||||
\(693\) | −14.7802 | −0.561452 | ||||||||
\(694\) | −30.2154 | − | 17.4449i | −1.14696 | − | 0.662198i | ||||
\(695\) | − | 22.4834i | − | 0.852843i | ||||||
\(696\) | 2.02134 | − | 1.16702i | 0.0766185 | − | 0.0442357i | ||||
\(697\) | 40.4823i | 1.53338i | ||||||||
\(698\) | −11.2939 | + | 19.5615i | −0.427479 | + | 0.740415i | ||||
\(699\) | −2.55151 | −0.0965070 | ||||||||
\(700\) | 10.6155 | + | 6.12889i | 0.401230 | + | 0.231650i | ||||
\(701\) | −19.6713 | + | 34.0717i | −0.742974 | + | 1.28687i | 0.208162 | + | 0.978094i | \(0.433252\pi\) |
−0.951135 | + | 0.308774i | \(0.900081\pi\) | |||||||
\(702\) | −6.70592 | + | 1.16931i | −0.253099 | + | 0.0441326i | ||||
\(703\) | 7.63168 | + | 13.2185i | 0.287834 | + | 0.498544i | ||||
\(704\) | 21.0165 | + | 12.1339i | 0.792087 | + | 0.457312i | ||||
\(705\) | 1.18981 | + | 2.06080i | 0.0448107 | + | 0.0776144i | ||||
\(706\) | 12.7640 | + | 22.1080i | 0.480381 | + | 0.832045i | ||||
\(707\) | −36.3387 | − | 20.9801i | −1.36666 | − | 0.789040i | ||||
\(708\) | 1.79786i | 0.0675678i | ||||||||
\(709\) | −12.6445 | − | 7.30028i | −0.474872 | − | 0.274168i | 0.243405 | − | 0.969925i | \(-0.421736\pi\) |
−0.718277 | + | 0.695757i | \(0.755069\pi\) | |||||||
\(710\) | 21.4452 | + | 12.3814i | 0.804824 | + | 0.464665i | ||||
\(711\) | −14.9368 | + | 25.8713i | −0.560175 | + | 0.970251i | ||||
\(712\) | 13.6025 | + | 23.5603i | 0.509777 | + | 0.882959i | ||||
\(713\) | 29.2910 | + | 7.54636i | 1.09696 | + | 0.282613i | ||||
\(714\) | −3.00819 | −0.112579 | ||||||||
\(715\) | −11.8843 | − | 4.35112i | −0.444448 | − | 0.162722i | ||||
\(716\) | −20.9377 | + | 36.2652i | −0.782478 | + | 1.35529i | ||||
\(717\) | 2.14494 | − | 1.23838i | 0.0801042 | − | 0.0462482i | ||||
\(718\) | −34.8492 | + | 60.3606i | −1.30056 | + | 2.25264i | ||||
\(719\) | −2.08162 | − | 3.60547i | −0.0776313 | − | 0.134461i | 0.824596 | − | 0.565722i | \(-0.191402\pi\) |
−0.902227 | + | 0.431260i | \(0.858069\pi\) | |||||||
\(720\) | 8.89411 | + | 5.13502i | 0.331464 | + | 0.191371i | ||||
\(721\) | 31.5750 | + | 18.2299i | 1.17592 | + | 0.678915i | ||||
\(722\) | − | 28.1115i | − | 1.04620i | ||||||
\(723\) | −0.684721 | + | 0.395324i | −0.0254651 | + | 0.0147023i | ||||
\(724\) | 28.8314 | 1.07151 | ||||||||
\(725\) | −16.9928 | −0.631097 | ||||||||
\(726\) | −1.97384 | − | 1.13960i | −0.0732562 | − | 0.0422945i | ||||
\(727\) | −14.8458 | + | 25.7136i | −0.550599 | + | 0.953666i | 0.447632 | + | 0.894218i | \(0.352267\pi\) |
−0.998231 | + | 0.0594478i | \(0.981066\pi\) | |||||||
\(728\) | 2.61197 | + | 14.9796i | 0.0968062 | + | 0.555179i | ||||
\(729\) | −25.8750 | −0.958332 | ||||||||
\(730\) | − | 1.32374i | − | 0.0489939i | ||||||
\(731\) | 13.2228 | − | 22.9026i | 0.489063 | − | 0.847082i | ||||
\(732\) | −0.0497504 | − | 0.0861701i | −0.00183883 | − | 0.00318494i | ||||
\(733\) | 43.2916 | − | 24.9944i | 1.59901 | − | 0.923189i | 0.607333 | − | 0.794448i | \(-0.292240\pi\) |
0.991678 | − | 0.128742i | \(-0.0410938\pi\) | |||||||
\(734\) | − | 6.54912i | − | 0.241732i | ||||||
\(735\) | 0.128364i | 0.00473478i | ||||||||
\(736\) | − | 40.5938i | − | 1.49631i | ||||||
\(737\) | −5.11199 | − | 8.85422i | −0.188302 | − | 0.326149i | ||||
\(738\) | −70.4447 | −2.59311 | ||||||||
\(739\) | −14.9823 | − | 8.65004i | −0.551133 | − | 0.318197i | 0.198446 | − | 0.980112i | \(-0.436411\pi\) |
−0.749579 | + | 0.661915i | \(0.769744\pi\) | |||||||
\(740\) | −30.7315 | −1.12971 | ||||||||
\(741\) | −1.27122 | + | 0.221662i | −0.0466994 | + | 0.00814294i | ||||
\(742\) | −44.4334 | −1.63120 | ||||||||
\(743\) | 8.34061 | − | 4.81546i | 0.305987 | − | 0.176662i | −0.339142 | − | 0.940735i | \(-0.610137\pi\) |
0.645130 | + | 0.764073i | \(0.276803\pi\) | |||||||
\(744\) | −0.951159 | − | 0.932979i | −0.0348712 | − | 0.0342047i | ||||
\(745\) | −15.6288 | + | 27.0699i | −0.572595 | + | 0.991763i | ||||
\(746\) | 41.5437i | 1.52102i | ||||||||
\(747\) | −41.2615 | + | 23.8223i | −1.50968 | + | 0.871614i | ||||
\(748\) | −17.3441 | − | 10.0136i | −0.634165 | − | 0.366135i | ||||
\(749\) | 4.34334 | − | 2.50763i | 0.158702 | − | 0.0916266i | ||||
\(750\) | −1.92129 | − | 3.32777i | −0.0701556 | − | 0.121513i | ||||
\(751\) | 27.2614 | 0.994782 | 0.497391 | − | 0.867527i | \(-0.334291\pi\) | ||||
0.497391 | + | 0.867527i | \(0.334291\pi\) | |||||||
\(752\) | −15.0644 | + | 8.69744i | −0.549342 | + | 0.317163i | ||||
\(753\) | 0.886908 | + | 1.53617i | 0.0323207 | + | 0.0559812i | ||||
\(754\) | −49.1960 | − | 58.8562i | −1.79161 | − | 2.14342i | ||||
\(755\) | 11.1884 | + | 19.3788i | 0.407187 | + | 0.705268i | ||||
\(756\) | − | 6.08980i | − | 0.221484i | ||||||
\(757\) | 1.29014 | − | 2.23459i | 0.0468910 | − | 0.0812177i | −0.841627 | − | 0.540059i | \(-0.818402\pi\) |
0.888518 | + | 0.458841i | \(0.151735\pi\) | |||||||
\(758\) | −17.0909 | − | 29.6024i | −0.620770 | − | 1.07521i | ||||
\(759\) | − | 1.52939i | − | 0.0555132i | ||||||
\(760\) | −6.38816 | − | 3.68820i | −0.231723 | − | 0.133785i | ||||
\(761\) | 0.447280 | − | 0.258237i | 0.0162139 | − | 0.00936108i | −0.491871 | − | 0.870668i | \(-0.663687\pi\) |
0.508085 | + | 0.861307i | \(0.330354\pi\) | |||||||
\(762\) | −2.81111 | + | 1.62300i | −0.101836 | + | 0.0587950i | ||||
\(763\) | −8.86012 | − | 15.3462i | −0.320758 | − | 0.555569i | ||||
\(764\) | −15.2296 | + | 26.3784i | −0.550987 | + | 0.954338i | ||||
\(765\) | −17.3888 | − | 10.0394i | −0.628693 | − | 0.362976i | ||||
\(766\) | −35.2423 | − | 61.0415i | −1.27336 | − | 2.20552i | ||||
\(767\) | 15.9956 | − | 2.78914i | 0.577568 | − | 0.100710i | ||||
\(768\) | −0.131516 | + | 0.227792i | −0.00474567 | + | 0.00821975i | ||||
\(769\) | − | 42.3666i | − | 1.52778i | −0.645347 | − | 0.763890i | \(-0.723287\pi\) | ||
0.645347 | − | 0.763890i | \(-0.276713\pi\) | |||||||
\(770\) | 9.76654 | − | 16.9161i | 0.351962 | − | 0.609615i | ||||
\(771\) | −0.0264017 | + | 0.0457291i | −0.000950834 | + | 0.00164689i | ||||
\(772\) | 33.9491 | + | 19.6005i | 1.22185 | + | 0.705437i | ||||
\(773\) | 11.4379 | + | 6.60365i | 0.411391 | + | 0.237517i | 0.691387 | − | 0.722484i | \(-0.257000\pi\) |
−0.279996 | + | 0.960001i | \(0.590333\pi\) | |||||||
\(774\) | 39.8536 | + | 23.0095i | 1.43251 | + | 0.827059i | ||||
\(775\) | 2.60086 | + | 9.34490i | 0.0934255 | + | 0.335679i | ||||
\(776\) | −3.00730 | + | 5.20879i | −0.107956 | + | 0.186985i | ||||
\(777\) | −1.14005 | − | 1.97462i | −0.0408990 | − | 0.0708392i | ||||
\(778\) | 80.8500i | 2.89861i | ||||||||
\(779\) | −26.8019 | −0.960277 | ||||||||
\(780\) | 0.893242 | − | 2.43973i | 0.0319832 | − | 0.0873565i | ||||
\(781\) | −6.11584 | + | 10.5929i | −0.218842 | + | 0.379045i | ||||
\(782\) | 44.2499i | 1.58237i | ||||||||
\(783\) | 4.22111 | + | 7.31117i | 0.150850 | + | 0.261280i | ||||
\(784\) | −0.938337 | −0.0335121 | ||||||||
\(785\) | 0.157301 | − | 0.0908181i | 0.00561433 | − | 0.00324144i | ||||
\(786\) | 3.76897i | 0.134435i | ||||||||
\(787\) | 43.5543 | − | 25.1461i | 1.55254 | − | 0.896361i | 0.554608 | − | 0.832111i | \(-0.312868\pi\) |
0.997934 | − | 0.0642492i | \(-0.0204653\pi\) | |||||||
\(788\) | 5.24644 | − | 3.02903i | 0.186897 | − | 0.107905i | ||||
\(789\) | 0.520718 | + | 0.901910i | 0.0185381 | + | 0.0321089i | ||||
\(790\) | −19.7401 | − | 34.1909i | −0.702322 | − | 1.21646i | ||||
\(791\) | 12.4632 | − | 7.19563i | 0.443140 | − | 0.255847i | ||||
\(792\) | 4.78834 | − | 8.29364i | 0.170146 | − | 0.294702i | ||||
\(793\) | −0.689476 | + | 0.576312i | −0.0244840 | + | 0.0204654i | ||||
\(794\) | −18.0750 | + | 31.3068i | −0.641457 | + | 1.11104i | ||||
\(795\) | 1.80678 | + | 1.04314i | 0.0640797 | + | 0.0369965i | ||||
\(796\) | −5.46750 | + | 9.46999i | −0.193790 | + | 0.335655i | ||||
\(797\) | 40.0509 | 1.41868 | 0.709338 | − | 0.704868i | \(-0.248994\pi\) | ||||
0.709338 | + | 0.704868i | \(0.248994\pi\) | |||||||
\(798\) | − | 1.99161i | − | 0.0705024i | ||||||
\(799\) | 29.4522 | − | 17.0043i | 1.04195 | − | 0.601567i | ||||
\(800\) | 11.2740 | − | 6.50903i | 0.398595 | − | 0.230129i | ||||
\(801\) | −42.4594 | + | 24.5140i | −1.50023 | + | 0.866159i | ||||
\(802\) | −11.1440 | + | 19.3020i | −0.393509 | + | 0.681577i | ||||
\(803\) | 0.653868 | 0.0230745 | ||||||||
\(804\) | 1.81769 | − | 1.04944i | 0.0641048 | − | 0.0370109i | ||||
\(805\) | −25.0161 | −0.881702 | ||||||||
\(806\) | −24.8372 | + | 36.0628i | −0.874852 | + | 1.27026i | ||||
\(807\) | −1.76298 | −0.0620600 | ||||||||
\(808\) | 23.5453 | − | 13.5939i | 0.828321 | − | 0.478231i | ||||
\(809\) | 19.4878 | 0.685155 | 0.342578 | − | 0.939490i | \(-0.388700\pi\) | ||||
0.342578 | + | 0.939490i | \(0.388700\pi\) | |||||||
\(810\) | 17.3462 | − | 30.0445i | 0.609483 | − | 1.05566i | ||||
\(811\) | 2.19727 | − | 1.26860i | 0.0771567 | − | 0.0445465i | −0.460925 | − | 0.887439i | \(-0.652482\pi\) |
0.538082 | + | 0.842892i | \(0.319149\pi\) | |||||||
\(812\) | 59.4317 | − | 34.3129i | 2.08565 | − | 1.20415i | ||||
\(813\) | −0.423081 | + | 0.244266i | −0.0148381 | + | 0.00856678i | ||||
\(814\) | − | 26.1885i | − | 0.917908i | ||||||
\(815\) | 35.1263 | 1.23042 | ||||||||
\(816\) | −0.516243 | + | 0.894160i | −0.0180721 | + | 0.0313019i | ||||
\(817\) | 15.1630 | + | 8.75435i | 0.530485 | + | 0.306276i | ||||
\(818\) | 39.1945 | − | 67.8868i | 1.37040 | − | 2.37361i | ||||
\(819\) | −26.9956 | + | 4.70720i | −0.943302 | + | 0.164483i | ||||
\(820\) | 26.9817 | − | 46.7336i | 0.942241 | − | 1.63201i | ||||
\(821\) | −13.4111 | + | 7.74290i | −0.468050 | + | 0.270229i | −0.715423 | − | 0.698691i | \(-0.753766\pi\) |
0.247373 | + | 0.968920i | \(0.420433\pi\) | |||||||
\(822\) | 2.93284 | + | 5.07982i | 0.102294 | + | 0.177179i | ||||
\(823\) | −15.4150 | − | 26.6995i | −0.537332 | − | 0.930687i | −0.999047 | − | 0.0436579i | \(-0.986099\pi\) |
0.461714 | − | 0.887029i | \(-0.347235\pi\) | |||||||
\(824\) | −20.4588 | + | 11.8119i | −0.712715 | + | 0.411486i | ||||
\(825\) | 0.424750 | − | 0.245230i | 0.0147879 | − | 0.00853781i | ||||
\(826\) | 25.0603i | 0.871959i | ||||||||
\(827\) | 6.77853 | − | 3.91359i | 0.235713 | − | 0.136089i | −0.377492 | − | 0.926013i | \(-0.623213\pi\) |
0.613205 | + | 0.789924i | \(0.289880\pi\) | |||||||
\(828\) | −44.6329 | −1.55110 | ||||||||
\(829\) | −9.03289 | − | 15.6454i | −0.313725 | − | 0.543388i | 0.665441 | − | 0.746451i | \(-0.268244\pi\) |
−0.979166 | + | 0.203063i | \(0.934910\pi\) | |||||||
\(830\) | − | 62.9659i | − | 2.18558i | ||||||
\(831\) | −0.835481 | + | 1.44710i | −0.0289825 | + | 0.0501992i | ||||
\(832\) | 42.2504 | + | 15.4688i | 1.46477 | + | 0.536285i | ||||
\(833\) | 1.83453 | 0.0635628 | ||||||||
\(834\) | 3.93330i | 0.136199i | ||||||||
\(835\) | −2.19731 | − | 3.80585i | −0.0760411 | − | 0.131707i | ||||
\(836\) | 6.62968 | − | 11.4829i | 0.229292 | − | 0.397146i | ||||
\(837\) | 3.37458 | − | 3.44034i | 0.116643 | − | 0.118916i | ||||
\(838\) | 26.9369 | + | 15.5520i | 0.930521 | + | 0.537237i | ||||
\(839\) | −14.9884 | − | 8.65357i | −0.517458 | − | 0.298754i | 0.218436 | − | 0.975851i | \(-0.429904\pi\) |
−0.735894 | + | 0.677097i | \(0.763238\pi\) | |||||||
\(840\) | 0.954286 | + | 0.550957i | 0.0329260 | + | 0.0190098i | ||||
\(841\) | −33.0676 | + | 57.2748i | −1.14026 | + | 1.97499i | ||||
\(842\) | 17.0550 | − | 29.5401i | 0.587754 | − | 1.01802i | ||||
\(843\) | 0.338892i | 0.0116720i | ||||||||
\(844\) | −19.3513 | + | 33.5174i | −0.666098 | + | 1.15372i | ||||
\(845\) | −23.0921 | − | 4.16227i | −0.794393 | − | 0.143186i | ||||
\(846\) | 29.5897 | + | 51.2509i | 1.01732 | + | 1.76204i | ||||
\(847\) | −15.9478 | − | 9.20749i | −0.547974 | − | 0.316373i | ||||
\(848\) | −7.62533 | + | 13.2075i | −0.261855 | + | 0.453546i | ||||
\(849\) | −0.636507 | − | 1.10246i | −0.0218449 | − | 0.0378364i | ||||
\(850\) | −12.2893 | + | 7.09526i | −0.421521 | + | 0.243365i | ||||
\(851\) | −29.0463 | + | 16.7699i | −0.995695 | + | 0.574865i | ||||
\(852\) | −2.17463 | − | 1.25552i | −0.0745016 | − | 0.0430135i | ||||
\(853\) | − | 38.9670i | − | 1.33421i | −0.744966 | − | 0.667103i | \(-0.767534\pi\) | ||
0.744966 | − | 0.667103i | \(-0.232466\pi\) | |||||||
\(854\) | −0.693467 | − | 1.20112i | −0.0237300 | − | 0.0411015i | ||||
\(855\) | 6.64674 | − | 11.5125i | 0.227314 | − | 0.393719i | ||||
\(856\) | 3.24959i | 0.111069i | ||||||||
\(857\) | −10.2459 | − | 17.7465i | −0.349994 | − | 0.606207i | 0.636254 | − | 0.771480i | \(-0.280483\pi\) |
−0.986248 | + | 0.165272i | \(0.947150\pi\) | |||||||
\(858\) | 2.07907 | + | 0.761196i | 0.0709784 | + | 0.0259868i | ||||
\(859\) | 15.6460 | + | 27.0997i | 0.533836 | + | 0.924630i | 0.999219 | + | 0.0395210i | \(0.0125832\pi\) |
−0.465383 | + | 0.885109i | \(0.654083\pi\) | |||||||
\(860\) | −30.5294 | + | 17.6261i | −1.04104 | + | 0.601047i | ||||
\(861\) | 4.00376 | 0.136448 | ||||||||
\(862\) | 34.6647 | + | 60.0410i | 1.18068 | + | 2.04500i | ||||
\(863\) | −35.9638 | + | 20.7637i | −1.22422 | + | 0.706804i | −0.965815 | − | 0.259232i | \(-0.916530\pi\) |
−0.258406 | + | 0.966036i | \(0.583197\pi\) | |||||||
\(864\) | −5.60103 | − | 3.23375i | −0.190551 | − | 0.110015i | ||||
\(865\) | 9.36516 | − | 5.40698i | 0.318425 | − | 0.183843i | ||||
\(866\) | − | 74.5619i | − | 2.53372i | ||||||
\(867\) | −0.221174 | + | 0.383084i | −0.00751145 | + | 0.0130102i | ||||
\(868\) | −27.9662 | − | 27.4316i | −0.949234 | − | 0.931091i | ||||
\(869\) | 16.8887 | − | 9.75071i | 0.572911 | − | 0.330770i | ||||
\(870\) | −5.55895 | −0.188466 | ||||||||
\(871\) | −12.1568 | − | 14.5439i | −0.411917 | − | 0.492802i | ||||
\(872\) | 11.4817 | 0.388818 | ||||||||
\(873\) | −9.38708 | − | 5.41964i | −0.317705 | − | 0.183427i | ||||
\(874\) | −29.2963 | −0.990961 | ||||||||
\(875\) | −15.5232 | − | 26.8870i | −0.524781 | − | 0.908947i | ||||
\(876\) | 0.134233i | 0.00453531i | ||||||||
\(877\) | 7.22204i | 0.243871i | 0.992538 | + | 0.121935i | \(0.0389101\pi\) | ||||
−0.992538 | + | 0.121935i | \(0.961090\pi\) | |||||||
\(878\) | 37.6471i | 1.27053i | ||||||||
\(879\) | 1.46696 | − | 0.846951i | 0.0494794 | − | 0.0285669i | ||||
\(880\) | −3.35212 | − | 5.80605i | −0.113000 | − | 0.195722i | ||||
\(881\) | 17.9172 | − | 31.0335i | 0.603645 | − | 1.04554i | −0.388619 | − | 0.921399i | \(-0.627048\pi\) |
0.992264 | − | 0.124145i | \(-0.0396190\pi\) | |||||||
\(882\) | 3.19234i | 0.107492i | ||||||||
\(883\) | 38.1246 | 1.28299 | 0.641497 | − | 0.767125i | \(-0.278314\pi\) | ||||
0.641497 | + | 0.767125i | \(0.278314\pi\) | |||||||
\(884\) | −34.8678 | − | 12.7659i | −1.17273 | − | 0.429363i | ||||
\(885\) | 0.588329 | − | 1.01902i | 0.0197765 | − | 0.0342538i | ||||
\(886\) | 45.5277 | + | 26.2854i | 1.52953 | + | 0.883076i | ||||
\(887\) | −26.4556 | −0.888294 | −0.444147 | − | 0.895954i | \(-0.646493\pi\) | ||||
−0.444147 | + | 0.895954i | \(0.646493\pi\) | |||||||
\(888\) | 1.47737 | 0.0495772 | ||||||||
\(889\) | −22.7126 | + | 13.1131i | −0.761758 | + | 0.439801i | ||||
\(890\) | − | 64.7940i | − | 2.17190i | ||||||
\(891\) | 14.8406 | + | 8.56823i | 0.497179 | + | 0.287046i | ||||
\(892\) | 4.10209 | + | 2.36834i | 0.137348 | + | 0.0792980i | ||||
\(893\) | 11.2579 | + | 19.4993i | 0.376732 | + | 0.652518i | ||||
\(894\) | 2.73414 | − | 4.73567i | 0.0914434 | − | 0.158385i | ||||
\(895\) | 23.7347 | − | 13.7032i | 0.793363 | − | 0.458048i | ||||
\(896\) | −15.6580 | + | 27.1205i | −0.523098 | + | 0.906032i | ||||
\(897\) | −0.487080 | − | 2.79338i | −0.0162631 | − | 0.0932683i | ||||
\(898\) | 67.9662 | 2.26806 | ||||||||
\(899\) | 52.5892 | + | 13.5488i | 1.75395 | + | 0.451876i | ||||
\(900\) | −7.15667 | − | 12.3957i | −0.238556 | − | 0.413190i | ||||
\(901\) | 14.9082 | − | 25.8218i | 0.496664 | − | 0.860248i | ||||
\(902\) | 39.8251 | + | 22.9930i | 1.32603 | + | 0.765584i | ||||
\(903\) | −2.26510 | − | 1.30776i | −0.0753778 | − | 0.0435194i | ||||
\(904\) | 9.32469i | 0.310135i | ||||||||
\(905\) | −16.3414 | − | 9.43473i | −0.543207 | − | 0.313621i | ||||
\(906\) | −1.95732 | − | 3.39018i | −0.0650277 | − | 0.112631i | ||||
\(907\) | 11.2053 | + | 19.4081i | 0.372066 | + | 0.644437i | 0.989883 | − | 0.141885i | \(-0.0453163\pi\) |
−0.617818 | + | 0.786322i | \(0.711983\pi\) | |||||||
\(908\) | −55.1988 | − | 31.8690i | −1.83183 | − | 1.05761i | ||||
\(909\) | 24.4984 | + | 42.4325i | 0.812560 | + | 1.40740i | ||||
\(910\) | 12.4508 | − | 34.0073i | 0.412741 | − | 1.12733i | ||||
\(911\) | 17.3066 | − | 29.9759i | 0.573393 | − | 0.993146i | −0.422821 | − | 0.906213i | \(-0.638960\pi\) |
0.996214 | − | 0.0869326i | \(-0.0277065\pi\) | |||||||
\(912\) | −0.591991 | − | 0.341786i | −0.0196028 | − | 0.0113177i | ||||
\(913\) | 31.1023 | 1.02934 | ||||||||
\(914\) | 32.5090 | − | 56.3072i | 1.07530 | − | 1.86248i | ||||
\(915\) | 0.0651208i | 0.00215283i | ||||||||
\(916\) | −4.50054 | + | 2.59839i | −0.148702 | + | 0.0858532i | ||||
\(917\) | 30.4517i | 1.00560i | ||||||||
\(918\) | 6.10548 | + | 3.52500i | 0.201511 | + | 0.116342i | ||||
\(919\) | −12.5428 | −0.413747 | −0.206874 | − | 0.978368i | \(-0.566329\pi\) | ||||
−0.206874 | + | 0.978368i | \(0.566329\pi\) | |||||||
\(920\) | 8.10448 | − | 14.0374i | 0.267197 | − | 0.462798i | ||||
\(921\) | −0.247412 | − | 0.142843i | −0.00815249 | − | 0.00470684i | ||||
\(922\) | −20.7174 | −0.682292 | ||||||||
\(923\) | −7.79676 | + | 21.2955i | −0.256634 | + | 0.700950i | ||||
\(924\) | −0.990366 | + | 1.71536i | −0.0325806 | + | 0.0564313i | ||||
\(925\) | −9.31488 | − | 5.37795i | −0.306271 | − | 0.176826i | ||||
\(926\) | 7.35621 | + | 12.7413i | 0.241740 | + | 0.418706i | ||||
\(927\) | −21.2869 | − | 36.8700i | −0.699153 | − | 1.21097i | ||||
\(928\) | − | 72.8823i | − | 2.39248i | ||||||
\(929\) | 0.332401 | + | 0.191912i | 0.0109057 | + | 0.00629643i | 0.505443 | − | 0.862860i | \(-0.331329\pi\) |
−0.494537 | + | 0.869156i | \(0.664662\pi\) | |||||||
\(930\) | 0.850831 | + | 3.05705i | 0.0278999 | + | 0.100244i | ||||
\(931\) | 1.21458i | 0.0398062i | ||||||||
\(932\) | 24.3043 | − | 42.0962i | 0.796113 | − | 1.37891i | ||||
\(933\) | 2.42872 | 0.0795126 | ||||||||
\(934\) | −14.4930 | + | 8.36754i | −0.474226 | + | 0.273794i | ||||
\(935\) | 6.55369 | + | 11.3513i | 0.214329 | + | 0.371228i | ||||
\(936\) | 6.10440 | − | 16.6731i | 0.199529 | − | 0.544977i | ||||
\(937\) | 27.3748 | − | 47.4146i | 0.894297 | − | 1.54897i | 0.0596245 | − | 0.998221i | \(-0.481010\pi\) |
0.834672 | − | 0.550747i | \(-0.185657\pi\) | |||||||
\(938\) | 25.3366 | − | 14.6281i | 0.827270 | − | 0.477624i | ||||
\(939\) | −0.495494 | + | 0.858220i | −0.0161698 | + | 0.0280070i | ||||
\(940\) | −45.3337 | −1.47862 | ||||||||
\(941\) | −13.7895 | + | 7.96137i | −0.449525 | + | 0.259533i | −0.707629 | − | 0.706584i | \(-0.750235\pi\) |
0.258105 | + | 0.966117i | \(0.416902\pi\) | |||||||
\(942\) | −0.0275187 | + | 0.0158880i | −0.000896609 | + | 0.000517657i | ||||
\(943\) | − | 58.8946i | − | 1.91787i | ||||||
\(944\) | 7.44896 | + | 4.30066i | 0.242443 | + | 0.139975i | ||||
\(945\) | −1.99281 | + | 3.45165i | −0.0648262 | + | 0.112282i | ||||
\(946\) | −15.0205 | − | 26.0163i | −0.488359 | − | 0.845862i | ||||
\(947\) | − | 20.4305i | − | 0.663902i | −0.943297 | − | 0.331951i | \(-0.892293\pi\) | ||
0.943297 | − | 0.331951i | \(-0.107707\pi\) | |||||||
\(948\) | 2.00173 | + | 3.46709i | 0.0650130 | + | 0.112606i | ||||
\(949\) | 1.19427 | − | 0.208244i | 0.0387677 | − | 0.00675990i | ||||
\(950\) | −4.69752 | − | 8.13634i | −0.152408 | − | 0.263978i | ||||
\(951\) | 2.91411 | + | 1.68246i | 0.0944965 | + | 0.0545576i | ||||
\(952\) | 7.87408 | − | 13.6383i | 0.255200 | − | 0.442020i | ||||
\(953\) | 0.274065 | − | 0.474694i | 0.00887782 | − | 0.0153768i | −0.861552 | − | 0.507669i | \(-0.830507\pi\) |
0.870430 | + | 0.492292i | \(0.163841\pi\) | |||||||
\(954\) | 44.9334 | + | 25.9423i | 1.45477 | + | 0.839913i | ||||
\(955\) | 17.2640 | − | 9.96740i | 0.558651 | − | 0.322538i | ||||
\(956\) | 47.1845i | 1.52606i | ||||||||
\(957\) | − | 2.74586i | − | 0.0887612i | ||||||
\(958\) | −16.1262 | − | 27.9315i | −0.521015 | − | 0.902425i | ||||
\(959\) | 23.6961 | + | 41.0428i | 0.765187 | + | 1.32534i | ||||
\(960\) | 2.82372 | − | 1.63028i | 0.0911352 | − | 0.0526169i | ||||
\(961\) | −0.598198 | − | 30.9942i | −0.0192967 | − | 0.999814i | ||||
\(962\) | −8.34055 | − | 47.8326i | −0.268910 | − | 1.54219i | ||||
\(963\) | −5.85628 | −0.188716 | ||||||||
\(964\) | − | 15.0625i | − | 0.485132i | ||||||
\(965\) | −12.8281 | − | 22.2188i | −0.412950 | − | 0.715250i | ||||
\(966\) | 4.37638 | 0.140808 | ||||||||
\(967\) | −45.4147 | − | 26.2202i | −1.46044 | − | 0.843185i | −0.461407 | − | 0.887189i | \(-0.652655\pi\) |
−0.999031 | + | 0.0440040i | \(0.985989\pi\) | |||||||
\(968\) | 10.3333 | − | 5.96591i | 0.332123 | − | 0.191752i | ||||
\(969\) | 1.15740 | + | 0.668222i | 0.0371809 | + | 0.0214664i | ||||
\(970\) | 12.4057 | − | 7.16244i | 0.398324 | − | 0.229972i | ||||
\(971\) | 13.1532 | 0.422107 | 0.211054 | − | 0.977474i | \(-0.432311\pi\) | ||||
0.211054 | + | 0.977474i | \(0.432311\pi\) | |||||||
\(972\) | −5.33949 | + | 9.24828i | −0.171264 | + | 0.296639i | ||||
\(973\) | 31.7795i | 1.01880i | ||||||||
\(974\) | 8.00663 | + | 13.8679i | 0.256549 | + | 0.444356i | ||||
\(975\) | 0.697694 | − | 0.583180i | 0.0223441 | − | 0.0186767i | ||||
\(976\) | −0.476031 | −0.0152374 | ||||||||
\(977\) | −5.97299 | + | 3.44851i | −0.191093 | + | 0.110328i | −0.592494 | − | 0.805575i | \(-0.701857\pi\) |
0.401401 | + | 0.915902i | \(0.368523\pi\) | |||||||
\(978\) | −6.14509 | −0.196498 | ||||||||
\(979\) | 32.0053 | 1.02289 | ||||||||
\(980\) | −2.11782 | − | 1.22273i | −0.0676514 | − | 0.0390586i | ||||
\(981\) | 20.6918i | 0.660639i | ||||||||
\(982\) | 90.5136i | 2.88840i | ||||||||
\(983\) | 38.6445 | − | 22.3114i | 1.23257 | − | 0.711624i | 0.265004 | − | 0.964247i | \(-0.414627\pi\) |
0.967565 | + | 0.252624i | \(0.0812935\pi\) | |||||||
\(984\) | −1.29710 | + | 2.24664i | −0.0413501 | + | 0.0716204i | ||||
\(985\) | −3.96486 | −0.126331 | ||||||||
\(986\) | 79.4464i | 2.53009i | ||||||||
\(987\) | −1.68175 | − | 2.91287i | −0.0535306 | − | 0.0927178i | ||||
\(988\) | 8.45183 | − | 23.0847i | 0.268889 | − | 0.734422i | ||||
\(989\) | −19.2368 | + | 33.3192i | −0.611696 | + | 1.05949i | ||||
\(990\) | −19.7529 | + | 11.4043i | −0.627787 | + | 0.362453i | ||||
\(991\) | −17.9204 | − | 31.0391i | −0.569261 | − | 0.985990i | −0.996639 | − | 0.0819165i | \(-0.973896\pi\) |
0.427378 | − | 0.904073i | \(-0.359437\pi\) | |||||||
\(992\) | −40.0803 | + | 11.1551i | −1.27255 | + | 0.354174i | ||||
\(993\) | 0.0348977i | 0.00110744i | ||||||||
\(994\) | −30.3120 | − | 17.5007i | −0.961439 | − | 0.555087i | ||||
\(995\) | 6.19788 | − | 3.57835i | 0.196486 | − | 0.113441i | ||||
\(996\) | 6.38500i | 0.202316i | ||||||||
\(997\) | 16.5921 | 0.525478 | 0.262739 | − | 0.964867i | \(-0.415374\pi\) | ||||
0.262739 | + | 0.964867i | \(0.415374\pi\) | |||||||
\(998\) | 6.48802 | 0.205375 | ||||||||
\(999\) | 5.34364i | 0.169065i |
(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 | 403.2.v.a.36.6 | yes | 70 | |
13.4 | even | 6 | 403.2.s.a.160.6 | ✓ | 70 | ||
31.25 | even | 3 | 403.2.s.a.335.6 | yes | 70 | ||
403.56 | even | 6 | inner | 403.2.v.a.56.6 | yes | 70 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.s.a.160.6 | ✓ | 70 | 13.4 | even | 6 | ||
403.2.s.a.335.6 | yes | 70 | 31.25 | even | 3 | ||
403.2.v.a.36.6 | yes | 70 | 1.1 | even | 1 | trivial | |
403.2.v.a.56.6 | yes | 70 | 403.56 | even | 6 | inner |