Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(103,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 0, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.ba (of order \(42\), degree \(12\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 283.14 | ||
Character | \(\chi\) | \(=\) | 588.283 |
Dual form | 588.2.ba.a.187.14 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{19}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.109917 | + | 1.40994i | −0.0777230 | + | 0.996975i | ||||
\(3\) | 0.988831 | − | 0.149042i | 0.570902 | − | 0.0860496i | ||||
\(4\) | −1.97584 | − | 0.309952i | −0.987918 | − | 0.154976i | ||||
\(5\) | 0.577807 | + | 0.226773i | 0.258403 | + | 0.101416i | 0.491006 | − | 0.871156i | \(-0.336629\pi\) |
−0.232603 | + | 0.972572i | \(0.574724\pi\) | |||||||
\(6\) | 0.101451 | + | 1.41057i | 0.0414171 | + | 0.575863i | ||||
\(7\) | 2.12573 | + | 1.57521i | 0.803449 | + | 0.595374i | ||||
\(8\) | 0.654190 | − | 2.75173i | 0.231291 | − | 0.972885i | ||||
\(9\) | 0.955573 | − | 0.294755i | 0.318524 | − | 0.0982517i | ||||
\(10\) | −0.383246 | + | 0.789745i | −0.121193 | + | 0.249739i | ||||
\(11\) | 0.418624 | − | 1.35715i | 0.126220 | − | 0.409195i | −0.870303 | − | 0.492517i | \(-0.836077\pi\) |
0.996523 | + | 0.0833222i | \(0.0265531\pi\) | |||||||
\(12\) | −1.99996 | − | 0.0120066i | −0.577340 | − | 0.00346600i | ||||
\(13\) | −0.804577 | + | 0.183639i | −0.223149 | + | 0.0509324i | −0.332634 | − | 0.943056i | \(-0.607937\pi\) |
0.109484 | + | 0.993989i | \(0.465080\pi\) | |||||||
\(14\) | −2.45460 | + | 2.82399i | −0.656019 | + | 0.754744i | ||||
\(15\) | 0.605152 | + | 0.138122i | 0.156250 | + | 0.0356630i | ||||
\(16\) | 3.80786 | + | 1.22483i | 0.951965 | + | 0.306207i | ||||
\(17\) | 3.97606 | + | 5.83181i | 0.964337 | + | 1.41442i | 0.909395 | + | 0.415933i | \(0.136545\pi\) |
0.0549414 | + | 0.998490i | \(0.482503\pi\) | |||||||
\(18\) | 0.310552 | + | 1.37969i | 0.0731978 | + | 0.325197i | ||||
\(19\) | 0.990339 | + | 1.71532i | 0.227199 | + | 0.393521i | 0.956977 | − | 0.290164i | \(-0.0937098\pi\) |
−0.729778 | + | 0.683684i | \(0.760376\pi\) | |||||||
\(20\) | −1.07136 | − | 0.627158i | −0.239564 | − | 0.140237i | ||||
\(21\) | 2.33676 | + | 1.24079i | 0.509922 | + | 0.270764i | ||||
\(22\) | 1.86747 | + | 0.739406i | 0.398147 | + | 0.157642i | ||||
\(23\) | 2.55242 | − | 3.74372i | 0.532217 | − | 0.780619i | −0.462128 | − | 0.886813i | \(-0.652914\pi\) |
0.994345 | + | 0.106194i | \(0.0338664\pi\) | |||||||
\(24\) | 0.236758 | − | 2.81850i | 0.0483281 | − | 0.575324i | ||||
\(25\) | −3.38282 | − | 3.13880i | −0.676565 | − | 0.627760i | ||||
\(26\) | −0.170483 | − | 1.15459i | −0.0334345 | − | 0.226433i | ||||
\(27\) | 0.900969 | − | 0.433884i | 0.173392 | − | 0.0835010i | ||||
\(28\) | −3.71185 | − | 3.77123i | −0.701473 | − | 0.712696i | ||||
\(29\) | 2.01507 | + | 0.970408i | 0.374190 | + | 0.180200i | 0.611520 | − | 0.791229i | \(-0.290558\pi\) |
−0.237331 | + | 0.971429i | \(0.576273\pi\) | |||||||
\(30\) | −0.261260 | + | 0.838044i | −0.0476993 | + | 0.153005i | ||||
\(31\) | −2.30045 | + | 3.98449i | −0.413173 | + | 0.715636i | −0.995235 | − | 0.0975084i | \(-0.968913\pi\) |
0.582062 | + | 0.813144i | \(0.302246\pi\) | |||||||
\(32\) | −2.14548 | + | 5.23421i | −0.379270 | + | 0.925286i | ||||
\(33\) | 0.211676 | − | 1.40438i | 0.0368481 | − | 0.244471i | ||||
\(34\) | −8.65952 | + | 4.96498i | −1.48509 | + | 0.851486i | ||||
\(35\) | 0.871045 | + | 1.39222i | 0.147233 | + | 0.235329i | ||||
\(36\) | −1.97942 | + | 0.286207i | −0.329903 | + | 0.0477011i | ||||
\(37\) | 0.849468 | + | 11.3354i | 0.139652 | + | 1.86352i | 0.425123 | + | 0.905135i | \(0.360231\pi\) |
−0.285472 | + | 0.958387i | \(0.592150\pi\) | |||||||
\(38\) | −2.52734 | + | 1.20777i | −0.409989 | + | 0.195926i | ||||
\(39\) | −0.768220 | + | 0.301504i | −0.123014 | + | 0.0482793i | ||||
\(40\) | 1.00201 | − | 1.44162i | 0.158432 | − | 0.227940i | ||||
\(41\) | −0.142820 | + | 0.113895i | −0.0223048 | + | 0.0177875i | −0.634579 | − | 0.772858i | \(-0.718826\pi\) |
0.612274 | + | 0.790646i | \(0.290255\pi\) | |||||||
\(42\) | −2.00629 | + | 3.15829i | −0.309577 | + | 0.487335i | ||||
\(43\) | −7.66154 | − | 6.10987i | −1.16837 | − | 0.931747i | −0.169818 | − | 0.985475i | \(-0.554318\pi\) |
−0.998556 | + | 0.0537287i | \(0.982889\pi\) | |||||||
\(44\) | −1.24778 | + | 2.55175i | −0.188110 | + | 0.384690i | ||||
\(45\) | 0.618979 | + | 0.0463861i | 0.0922720 | + | 0.00691483i | ||||
\(46\) | 4.99785 | + | 4.01025i | 0.736892 | + | 0.591279i | ||||
\(47\) | 9.80152 | − | 9.09448i | 1.42970 | − | 1.32657i | 0.564217 | − | 0.825626i | \(-0.309178\pi\) |
0.865482 | − | 0.500940i | \(-0.167012\pi\) | |||||||
\(48\) | 3.94788 | + | 0.643615i | 0.569827 | + | 0.0928978i | ||||
\(49\) | 2.03742 | + | 6.69693i | 0.291060 | + | 0.956705i | ||||
\(50\) | 4.79734 | − | 4.42456i | 0.678446 | − | 0.625727i | ||||
\(51\) | 4.80084 | + | 5.17407i | 0.672252 | + | 0.724515i | ||||
\(52\) | 1.64663 | − | 0.113462i | 0.228347 | − | 0.0157343i | ||||
\(53\) | −0.412496 | + | 5.50437i | −0.0566607 | + | 0.756084i | 0.894437 | + | 0.447194i | \(0.147577\pi\) |
−0.951098 | + | 0.308890i | \(0.900042\pi\) | |||||||
\(54\) | 0.512716 | + | 1.31800i | 0.0697719 | + | 0.179357i | ||||
\(55\) | 0.549648 | − | 0.689236i | 0.0741145 | − | 0.0929366i | ||||
\(56\) | 5.72519 | − | 4.81894i | 0.765061 | − | 0.643958i | ||||
\(57\) | 1.23493 | + | 1.54856i | 0.163571 | + | 0.205111i | ||||
\(58\) | −1.58970 | + | 2.73446i | −0.208738 | + | 0.359052i | ||||
\(59\) | −2.34591 | − | 5.97729i | −0.305412 | − | 0.778176i | −0.998363 | − | 0.0571921i | \(-0.981785\pi\) |
0.692951 | − | 0.720984i | \(-0.256310\pi\) | |||||||
\(60\) | −1.15287 | − | 0.460474i | −0.148835 | − | 0.0594470i | ||||
\(61\) | −9.20724 | + | 0.689988i | −1.17887 | + | 0.0883439i | −0.649711 | − | 0.760181i | \(-0.725110\pi\) |
−0.529156 | + | 0.848525i | \(0.677491\pi\) | |||||||
\(62\) | −5.36502 | − | 3.68145i | −0.681358 | − | 0.467544i | ||||
\(63\) | 2.49559 | + | 0.878660i | 0.314414 | + | 0.110701i | ||||
\(64\) | −7.14407 | − | 3.60031i | −0.893009 | − | 0.450039i | ||||
\(65\) | −0.506534 | − | 0.0763478i | −0.0628279 | − | 0.00946978i | ||||
\(66\) | 1.95682 | + | 0.452815i | 0.240868 | + | 0.0557377i | ||||
\(67\) | −0.491853 | − | 0.283971i | −0.0600894 | − | 0.0346926i | 0.469654 | − | 0.882850i | \(-0.344379\pi\) |
−0.529744 | + | 0.848158i | \(0.677712\pi\) | |||||||
\(68\) | −6.04847 | − | 12.7551i | −0.733485 | − | 1.54678i | ||||
\(69\) | 1.96594 | − | 4.08232i | 0.236672 | − | 0.491454i | ||||
\(70\) | −2.05869 | + | 1.07509i | −0.246060 | + | 0.128498i | ||||
\(71\) | −3.11294 | − | 6.46408i | −0.369438 | − | 0.767145i | 0.630522 | − | 0.776172i | \(-0.282841\pi\) |
−0.999959 | + | 0.00902650i | \(0.997127\pi\) | |||||||
\(72\) | −0.185962 | − | 2.82231i | −0.0219158 | − | 0.332612i | ||||
\(73\) | −2.32715 | + | 2.50808i | −0.272373 | + | 0.293548i | −0.854394 | − | 0.519625i | \(-0.826072\pi\) |
0.582021 | + | 0.813173i | \(0.302262\pi\) | |||||||
\(74\) | −16.0755 | − | 0.0482534i | −1.86874 | − | 0.00560935i | ||||
\(75\) | −3.81285 | − | 2.59956i | −0.440271 | − | 0.300171i | ||||
\(76\) | −1.42508 | − | 3.69614i | −0.163468 | − | 0.423977i | ||||
\(77\) | 3.02767 | − | 2.22550i | 0.345035 | − | 0.253619i | ||||
\(78\) | −0.340661 | − | 1.11628i | −0.0385723 | − | 0.126394i | ||||
\(79\) | 4.26467 | − | 2.46221i | 0.479813 | − | 0.277020i | −0.240526 | − | 0.970643i | \(-0.577320\pi\) |
0.720338 | + | 0.693623i | \(0.243987\pi\) | |||||||
\(80\) | 1.92245 | + | 1.57123i | 0.214937 | + | 0.175669i | ||||
\(81\) | 0.826239 | − | 0.563320i | 0.0918043 | − | 0.0625911i | ||||
\(82\) | −0.144887 | − | 0.213886i | −0.0160001 | − | 0.0236198i | ||||
\(83\) | −0.542153 | + | 2.37533i | −0.0595090 | + | 0.260726i | −0.995927 | − | 0.0901597i | \(-0.971262\pi\) |
0.936418 | + | 0.350886i | \(0.114119\pi\) | |||||||
\(84\) | −4.23246 | − | 3.17589i | −0.461799 | − | 0.346518i | ||||
\(85\) | 0.974902 | + | 4.27132i | 0.105743 | + | 0.463290i | ||||
\(86\) | 9.45666 | − | 10.1307i | 1.01974 | − | 1.09242i | ||||
\(87\) | 2.13720 | + | 0.659238i | 0.229132 | + | 0.0706778i | ||||
\(88\) | −3.46064 | − | 2.03977i | −0.368906 | − | 0.217441i | ||||
\(89\) | −0.190161 | − | 0.616487i | −0.0201570 | − | 0.0653475i | 0.944936 | − | 0.327257i | \(-0.106124\pi\) |
−0.965093 | + | 0.261909i | \(0.915648\pi\) | |||||||
\(90\) | −0.133438 | + | 0.867622i | −0.0140656 | + | 0.0914554i | ||||
\(91\) | −1.99958 | − | 0.877011i | −0.209613 | − | 0.0919358i | ||||
\(92\) | −6.20354 | + | 6.60585i | −0.646764 | + | 0.688707i | ||||
\(93\) | −1.68090 | + | 4.28285i | −0.174301 | + | 0.444111i | ||||
\(94\) | 11.7453 | + | 14.8192i | 1.21143 | + | 1.52848i | ||||
\(95\) | 0.183238 | + | 1.21570i | 0.0187998 | + | 0.124729i | ||||
\(96\) | −1.34139 | + | 5.49551i | −0.136906 | + | 0.560883i | ||||
\(97\) | − | 17.0926i | − | 1.73549i | −0.497007 | − | 0.867747i | \(-0.665568\pi\) | ||
0.497007 | − | 0.867747i | \(-0.334432\pi\) | |||||||
\(98\) | −9.66619 | + | 2.13652i | −0.976433 | + | 0.215821i | ||||
\(99\) | − | 1.42024i | − | 0.142740i | ||||||
\(100\) | 5.71103 | + | 7.25027i | 0.571103 | + | 0.725027i | ||||
\(101\) | −1.51215 | − | 10.0325i | −0.150465 | − | 0.998269i | −0.928843 | − | 0.370473i | \(-0.879195\pi\) |
0.778378 | − | 0.627796i | \(-0.216043\pi\) | |||||||
\(102\) | −7.82281 | + | 6.20016i | −0.774573 | + | 0.613907i | ||||
\(103\) | 5.60419 | − | 14.2793i | 0.552198 | − | 1.40698i | −0.333516 | − | 0.942744i | \(-0.608235\pi\) |
0.885714 | − | 0.464232i | \(-0.153670\pi\) | |||||||
\(104\) | −0.0210193 | + | 2.33412i | −0.00206111 | + | 0.228879i | ||||
\(105\) | 1.06882 | + | 1.24685i | 0.104306 | + | 0.121680i | ||||
\(106\) | −7.71547 | − | 1.18662i | −0.749393 | − | 0.115254i | ||||
\(107\) | −2.80883 | − | 9.10602i | −0.271540 | − | 0.880312i | −0.983934 | − | 0.178532i | \(-0.942865\pi\) |
0.712394 | − | 0.701780i | \(-0.247611\pi\) | |||||||
\(108\) | −1.91465 | + | 0.578027i | −0.184237 | + | 0.0556206i | ||||
\(109\) | 4.79772 | + | 1.47990i | 0.459538 | + | 0.141749i | 0.515876 | − | 0.856663i | \(-0.327466\pi\) |
−0.0563385 | + | 0.998412i | \(0.517943\pi\) | |||||||
\(110\) | 0.911363 | + | 0.850726i | 0.0868951 | + | 0.0811136i | ||||
\(111\) | 2.52943 | + | 11.0822i | 0.240083 | + | 1.05187i | ||||
\(112\) | 6.16510 | + | 8.60183i | 0.582548 | + | 0.812797i | ||||
\(113\) | 1.13005 | − | 4.95109i | 0.106307 | − | 0.465759i | −0.893552 | − | 0.448959i | \(-0.851795\pi\) |
0.999859 | − | 0.0168004i | \(-0.00534797\pi\) | |||||||
\(114\) | −2.31910 | + | 1.57096i | −0.217204 | + | 0.147134i | ||||
\(115\) | 2.32378 | − | 1.58433i | 0.216694 | − | 0.147739i | ||||
\(116\) | −3.68068 | − | 2.54194i | −0.341742 | − | 0.236013i | ||||
\(117\) | −0.714703 | + | 0.412634i | −0.0660743 | + | 0.0381480i | ||||
\(118\) | 8.68544 | − | 2.65058i | 0.799560 | − | 0.244006i | ||||
\(119\) | −0.734318 | + | 18.6600i | −0.0673149 | + | 1.71056i | ||||
\(120\) | 0.775959 | − | 1.57486i | 0.0708351 | − | 0.143764i | ||||
\(121\) | 7.42203 | + | 5.06025i | 0.674730 | + | 0.460023i | ||||
\(122\) | 0.0391942 | − | 13.0575i | 0.00354848 | − | 1.18217i | ||||
\(123\) | −0.124250 | + | 0.133909i | −0.0112032 | + | 0.0120742i | ||||
\(124\) | 5.78031 | − | 7.15968i | 0.519087 | − | 0.642958i | ||||
\(125\) | −2.58942 | − | 5.37698i | −0.231604 | − | 0.480931i | ||||
\(126\) | −1.51316 | + | 3.42204i | −0.134803 | + | 0.304859i | ||||
\(127\) | −6.79446 | + | 14.1088i | −0.602911 | + | 1.25196i | 0.346538 | + | 0.938036i | \(0.387357\pi\) |
−0.949449 | + | 0.313922i | \(0.898357\pi\) | |||||||
\(128\) | 5.86146 | − | 9.67695i | 0.518085 | − | 0.855329i | ||||
\(129\) | −8.48659 | − | 4.89974i | −0.747203 | − | 0.431398i | ||||
\(130\) | 0.163322 | − | 0.705789i | 0.0143243 | − | 0.0619018i | ||||
\(131\) | 2.36683 | + | 0.356742i | 0.206791 | + | 0.0311687i | 0.251621 | − | 0.967826i | \(-0.419036\pi\) |
−0.0448298 | + | 0.998995i | \(0.514275\pi\) | |||||||
\(132\) | −0.853528 | + | 2.70922i | −0.0742901 | + | 0.235807i | ||||
\(133\) | −0.596798 | + | 5.20628i | −0.0517489 | + | 0.451442i | ||||
\(134\) | 0.454444 | − | 0.662267i | 0.0392580 | − | 0.0572112i | ||||
\(135\) | 0.618979 | − | 0.0463861i | 0.0532732 | − | 0.00399228i | ||||
\(136\) | 18.6487 | − | 7.12595i | 1.59911 | − | 0.611045i | ||||
\(137\) | −5.43351 | − | 13.8444i | −0.464216 | − | 1.18280i | −0.950975 | − | 0.309267i | \(-0.899916\pi\) |
0.486759 | − | 0.873536i | \(-0.338179\pi\) | |||||||
\(138\) | 5.53972 | + | 3.22057i | 0.471572 | + | 0.274153i | ||||
\(139\) | 1.74043 | + | 2.18243i | 0.147621 | + | 0.185111i | 0.850144 | − | 0.526550i | \(-0.176515\pi\) |
−0.702523 | + | 0.711661i | \(0.747943\pi\) | |||||||
\(140\) | −1.28952 | − | 3.02079i | −0.108984 | − | 0.255303i | ||||
\(141\) | 8.33658 | − | 10.4537i | 0.702067 | − | 0.880364i | ||||
\(142\) | 9.45610 | − | 3.67853i | 0.793538 | − | 0.308695i | ||||
\(143\) | −0.0875897 | + | 1.16880i | −0.00732462 | + | 0.0977403i | ||||
\(144\) | 3.99971 | + | 0.0480255i | 0.333309 | + | 0.00400212i | ||||
\(145\) | 0.944262 | + | 1.01767i | 0.0784167 | + | 0.0845131i | ||||
\(146\) | −3.28043 | − | 3.55682i | −0.271490 | − | 0.294364i | ||||
\(147\) | 3.01279 | + | 6.31847i | 0.248491 | + | 0.521139i | ||||
\(148\) | 1.83500 | − | 22.6601i | 0.150836 | − | 1.86265i | ||||
\(149\) | −5.48353 | + | 5.08797i | −0.449228 | + | 0.416823i | −0.872070 | − | 0.489380i | \(-0.837223\pi\) |
0.422842 | + | 0.906203i | \(0.361032\pi\) | |||||||
\(150\) | 4.08431 | − | 5.09014i | 0.333483 | − | 0.415609i | ||||
\(151\) | −17.3860 | − | 1.30290i | −1.41485 | − | 0.106028i | −0.654755 | − | 0.755841i | \(-0.727228\pi\) |
−0.760094 | + | 0.649813i | \(0.774847\pi\) | |||||||
\(152\) | 5.36796 | − | 1.60300i | 0.435399 | − | 0.130021i | ||||
\(153\) | 5.51837 | + | 4.40076i | 0.446134 | + | 0.355780i | ||||
\(154\) | 2.80502 | + | 4.51344i | 0.226035 | + | 0.363704i | ||||
\(155\) | −2.23279 | + | 1.78059i | −0.179342 | + | 0.143020i | ||||
\(156\) | 1.61133 | − | 0.357612i | 0.129010 | − | 0.0286319i | ||||
\(157\) | 5.84618 | − | 2.29446i | 0.466576 | − | 0.183117i | −0.120394 | − | 0.992726i | \(-0.538416\pi\) |
0.586970 | + | 0.809609i | \(0.300321\pi\) | |||||||
\(158\) | 3.00279 | + | 6.28355i | 0.238889 | + | 0.499892i | ||||
\(159\) | 0.412496 | + | 5.50437i | 0.0327130 | + | 0.436525i | ||||
\(160\) | −2.42665 | + | 2.53783i | −0.191843 | + | 0.200633i | ||||
\(161\) | 11.3229 | − | 3.93751i | 0.892369 | − | 0.310319i | ||||
\(162\) | 0.703427 | + | 1.22686i | 0.0552665 | + | 0.0963914i | ||||
\(163\) | 0.483252 | − | 3.20617i | 0.0378512 | − | 0.251127i | −0.961901 | − | 0.273399i | \(-0.911852\pi\) |
0.999752 | + | 0.0222725i | \(0.00709015\pi\) | |||||||
\(164\) | 0.317491 | − | 0.180771i | 0.0247919 | − | 0.0141159i | ||||
\(165\) | 0.440783 | − | 0.763459i | 0.0343149 | − | 0.0594352i | ||||
\(166\) | −3.28947 | − | 1.02549i | −0.255312 | − | 0.0795934i | ||||
\(167\) | 15.6298 | + | 7.52690i | 1.20947 | + | 0.582449i | 0.926360 | − | 0.376639i | \(-0.122920\pi\) |
0.283108 | + | 0.959088i | \(0.408634\pi\) | |||||||
\(168\) | 4.94302 | − | 5.61841i | 0.381362 | − | 0.433470i | ||||
\(169\) | −11.0990 | + | 5.34498i | −0.853767 | + | 0.411153i | ||||
\(170\) | −6.12945 | + | 0.905058i | −0.470107 | + | 0.0694148i | ||||
\(171\) | 1.45194 | + | 1.34720i | 0.111033 | + | 0.103023i | ||||
\(172\) | 13.2442 | + | 14.4468i | 1.00986 | + | 1.10156i | ||||
\(173\) | 8.13698 | − | 11.9348i | 0.618643 | − | 0.907383i | −0.381210 | − | 0.924488i | \(-0.624493\pi\) |
0.999854 | + | 0.0171052i | \(0.00544503\pi\) | |||||||
\(174\) | −1.16440 | + | 2.94085i | −0.0882728 | + | 0.222945i | ||||
\(175\) | −2.24668 | − | 12.0009i | −0.169833 | − | 0.907182i | ||||
\(176\) | 3.25633 | − | 4.65508i | 0.245455 | − | 0.350890i | ||||
\(177\) | −3.21058 | − | 5.56088i | −0.241322 | − | 0.417982i | ||||
\(178\) | 0.890109 | − | 0.200353i | 0.0667165 | − | 0.0150171i | ||||
\(179\) | −8.29189 | − | 12.1620i | −0.619765 | − | 0.909029i | 0.380108 | − | 0.924942i | \(-0.375887\pi\) |
−0.999873 | + | 0.0159134i | \(0.994934\pi\) | |||||||
\(180\) | −1.20862 | − | 0.283505i | −0.0900855 | − | 0.0211312i | ||||
\(181\) | 6.52609 | + | 1.48954i | 0.485081 | + | 0.110716i | 0.458065 | − | 0.888919i | \(-0.348543\pi\) |
0.0270153 | + | 0.999635i | \(0.491400\pi\) | |||||||
\(182\) | 1.45632 | − | 2.72288i | 0.107949 | − | 0.201833i | ||||
\(183\) | −9.00157 | + | 2.05455i | −0.665415 | + | 0.151877i | ||||
\(184\) | −8.63194 | − | 9.47269i | −0.636355 | − | 0.698336i | ||||
\(185\) | −2.07972 | + | 6.74229i | −0.152904 | + | 0.495703i | ||||
\(186\) | −5.85379 | − | 2.84071i | −0.429220 | − | 0.208291i | ||||
\(187\) | 9.57910 | − | 2.95476i | 0.700493 | − | 0.216073i | ||||
\(188\) | −22.1851 | + | 14.9312i | −1.61801 | + | 1.08897i | ||||
\(189\) | 2.59867 | + | 0.496898i | 0.189026 | + | 0.0361440i | ||||
\(190\) | −1.73420 | + | 0.124727i | −0.125812 | + | 0.00904866i | ||||
\(191\) | 5.15591 | + | 2.02355i | 0.373069 | + | 0.146419i | 0.544465 | − | 0.838783i | \(-0.316733\pi\) |
−0.171396 | + | 0.985202i | \(0.554828\pi\) | |||||||
\(192\) | −7.60088 | − | 2.49533i | −0.548546 | − | 0.180085i | ||||
\(193\) | −16.5352 | + | 2.49227i | −1.19023 | + | 0.179398i | −0.714142 | − | 0.700001i | \(-0.753183\pi\) |
−0.476085 | + | 0.879399i | \(0.657945\pi\) | |||||||
\(194\) | 24.0995 | + | 1.87877i | 1.73024 | + | 0.134888i | ||||
\(195\) | −0.512256 | −0.0366834 | ||||||||
\(196\) | −1.94988 | − | 13.8635i | −0.139277 | − | 0.990253i | ||||
\(197\) | 3.34340 | 0.238208 | 0.119104 | − | 0.992882i | \(-0.461998\pi\) | ||||
0.119104 | + | 0.992882i | \(0.461998\pi\) | |||||||
\(198\) | 2.00245 | + | 0.156109i | 0.142308 | + | 0.0110942i | ||||
\(199\) | −3.30520 | + | 0.498179i | −0.234300 | + | 0.0353150i | −0.265142 | − | 0.964209i | \(-0.585419\pi\) |
0.0308428 | + | 0.999524i | \(0.490181\pi\) | |||||||
\(200\) | −10.8502 | + | 7.25526i | −0.767222 | + | 0.513024i | ||||
\(201\) | −0.528683 | − | 0.207493i | −0.0372904 | − | 0.0146354i | ||||
\(202\) | 14.3114 | − | 1.02930i | 1.00694 | − | 0.0724212i | ||||
\(203\) | 2.75489 | + | 5.23699i | 0.193356 | + | 0.367564i | ||||
\(204\) | −7.88196 | − | 11.7112i | −0.551848 | − | 0.819945i | ||||
\(205\) | −0.108351 | + | 0.0334218i | −0.00756755 | + | 0.00233428i | ||||
\(206\) | 19.5168 | + | 9.47108i | 1.35980 | + | 0.659882i | ||||
\(207\) | 1.33555 | − | 4.32973i | 0.0928269 | − | 0.300937i | ||||
\(208\) | −3.28864 | − | 0.286195i | −0.228026 | − | 0.0198440i | ||||
\(209\) | 2.74251 | − | 0.625961i | 0.189704 | − | 0.0432986i | ||||
\(210\) | −1.87546 | + | 1.36991i | −0.129419 | + | 0.0945329i | ||||
\(211\) | −22.5167 | − | 5.13929i | −1.55011 | − | 0.353803i | −0.640069 | − | 0.768317i | \(-0.721094\pi\) |
−0.910043 | + | 0.414514i | \(0.863952\pi\) | |||||||
\(212\) | 2.52111 | − | 10.7479i | 0.173151 | − | 0.738168i | ||||
\(213\) | −4.04159 | − | 5.92792i | −0.276925 | − | 0.406175i | ||||
\(214\) | 13.1476 | − | 2.95937i | 0.898754 | − | 0.202298i | ||||
\(215\) | −3.04134 | − | 5.26775i | −0.207418 | − | 0.359258i | ||||
\(216\) | −0.604528 | − | 2.76307i | −0.0411329 | − | 0.188003i | ||||
\(217\) | −11.1665 | + | 4.84625i | −0.758034 | + | 0.328985i | ||||
\(218\) | −2.61391 | + | 6.60180i | −0.177037 | + | 0.447131i | ||||
\(219\) | −1.92735 | + | 2.82691i | −0.130238 | + | 0.191025i | ||||
\(220\) | −1.29964 | + | 1.19145i | −0.0876219 | + | 0.0803278i | ||||
\(221\) | −4.27000 | − | 3.96198i | −0.287231 | − | 0.266511i | ||||
\(222\) | −15.9031 | + | 2.34822i | −1.06735 | + | 0.157602i | ||||
\(223\) | 10.3800 | − | 4.99874i | 0.695095 | − | 0.334740i | −0.0527554 | − | 0.998607i | \(-0.516800\pi\) |
0.747850 | + | 0.663867i | \(0.231086\pi\) | |||||||
\(224\) | −12.8057 | + | 7.74691i | −0.855615 | + | 0.517612i | ||||
\(225\) | −4.15771 | − | 2.00225i | −0.277181 | − | 0.133483i | ||||
\(226\) | 6.85651 | + | 2.13751i | 0.456088 | + | 0.142185i | ||||
\(227\) | −14.8268 | + | 25.6808i | −0.984092 | + | 1.70450i | −0.338189 | + | 0.941078i | \(0.609814\pi\) |
−0.645903 | + | 0.763420i | \(0.723519\pi\) | |||||||
\(228\) | −1.96005 | − | 3.44246i | −0.129807 | − | 0.227983i | ||||
\(229\) | 1.79196 | − | 11.8889i | 0.118416 | − | 0.785638i | −0.848250 | − | 0.529596i | \(-0.822343\pi\) |
0.966666 | − | 0.256042i | \(-0.0824184\pi\) | |||||||
\(230\) | 1.97838 | + | 3.45053i | 0.130450 | + | 0.227521i | ||||
\(231\) | 2.66216 | − | 2.65189i | 0.175157 | − | 0.174482i | ||||
\(232\) | 3.98854 | − | 4.91011i | 0.261861 | − | 0.322365i | ||||
\(233\) | −1.71189 | − | 22.8436i | −0.112150 | − | 1.49653i | −0.715250 | − | 0.698869i | \(-0.753687\pi\) |
0.603100 | − | 0.797666i | \(-0.293932\pi\) | |||||||
\(234\) | −0.503229 | − | 1.05304i | −0.0328971 | − | 0.0688394i | ||||
\(235\) | 7.72577 | − | 3.03214i | 0.503974 | − | 0.197795i | ||||
\(236\) | 2.78247 | + | 12.5373i | 0.181123 | + | 0.816106i | ||||
\(237\) | 3.85006 | − | 3.07032i | 0.250088 | − | 0.199439i | ||||
\(238\) | −26.2286 | − | 3.08639i | −1.70015 | − | 0.200061i | ||||
\(239\) | 1.01055 | + | 0.805883i | 0.0653667 | + | 0.0521282i | 0.655628 | − | 0.755084i | \(-0.272404\pi\) |
−0.590261 | + | 0.807212i | \(0.700975\pi\) | |||||||
\(240\) | 2.13516 | + | 1.26716i | 0.137824 | + | 0.0817946i | ||||
\(241\) | −5.92591 | − | 0.444086i | −0.381722 | − | 0.0286061i | −0.117512 | − | 0.993071i | \(-0.537492\pi\) |
−0.264209 | + | 0.964465i | \(0.585111\pi\) | |||||||
\(242\) | −7.95044 | + | 9.90837i | −0.511073 | + | 0.636934i | ||||
\(243\) | 0.733052 | − | 0.680173i | 0.0470253 | − | 0.0436331i | ||||
\(244\) | 18.4059 | + | 1.49050i | 1.17832 | + | 0.0954193i | ||||
\(245\) | −0.341446 | + | 4.33157i | −0.0218142 | + | 0.276734i | ||||
\(246\) | −0.175147 | − | 0.189903i | −0.0111669 | − | 0.0121078i | ||||
\(247\) | −1.11180 | − | 1.19824i | −0.0707423 | − | 0.0762421i | ||||
\(248\) | 9.45933 | + | 8.93683i | 0.600668 | + | 0.567489i | ||||
\(249\) | −0.182073 | + | 2.42960i | −0.0115384 | + | 0.153970i | ||||
\(250\) | 7.86581 | − | 3.05989i | 0.497478 | − | 0.193524i | ||||
\(251\) | −7.03991 | + | 8.82777i | −0.444355 | + | 0.557204i | −0.952685 | − | 0.303959i | \(-0.901692\pi\) |
0.508330 | + | 0.861162i | \(0.330263\pi\) | |||||||
\(252\) | −4.65853 | − | 2.50960i | −0.293460 | − | 0.158090i | ||||
\(253\) | −4.01227 | − | 5.03122i | −0.252249 | − | 0.316310i | ||||
\(254\) | −19.1457 | − | 11.1306i | −1.20131 | − | 0.698393i | ||||
\(255\) | 1.60062 | + | 4.07832i | 0.100235 | + | 0.255394i | ||||
\(256\) | 12.9996 | + | 9.32794i | 0.812475 | + | 0.582996i | ||||
\(257\) | 3.00243 | − | 0.225001i | 0.187287 | − | 0.0140352i | 0.0192434 | − | 0.999815i | \(-0.493874\pi\) |
0.168043 | + | 0.985780i | \(0.446255\pi\) | |||||||
\(258\) | 7.84113 | − | 11.4270i | 0.488168 | − | 0.711413i | ||||
\(259\) | −16.0499 | + | 25.4340i | −0.997290 | + | 1.58039i | ||||
\(260\) | 0.977165 | + | 0.307852i | 0.0606012 | + | 0.0190922i | ||||
\(261\) | 2.21158 | + | 0.333342i | 0.136893 | + | 0.0206334i | ||||
\(262\) | −0.763139 | + | 3.29787i | −0.0471469 | + | 0.203743i | ||||
\(263\) | 12.4143 | + | 7.16740i | 0.765499 | + | 0.441961i | 0.831267 | − | 0.555874i | \(-0.187616\pi\) |
−0.0657675 | + | 0.997835i | \(0.520950\pi\) | |||||||
\(264\) | −3.72600 | − | 1.50121i | −0.229320 | − | 0.0923930i | ||||
\(265\) | −1.48658 | + | 3.08692i | −0.0913201 | + | 0.189628i | ||||
\(266\) | −7.27493 | − | 1.41371i | −0.446054 | − | 0.0866799i | ||||
\(267\) | −0.279920 | − | 0.581260i | −0.0171308 | − | 0.0355725i | ||||
\(268\) | 0.883803 | + | 0.713531i | 0.0539869 | + | 0.0435859i | ||||
\(269\) | −19.4784 | + | 20.9927i | −1.18762 | + | 1.27995i | −0.236317 | + | 0.971676i | \(0.575940\pi\) |
−0.951299 | + | 0.308270i | \(0.900250\pi\) | |||||||
\(270\) | −0.00263493 | + | 0.877819i | −0.000160357 | + | 0.0534224i | ||||
\(271\) | 14.3291 | + | 9.76944i | 0.870433 | + | 0.593451i | 0.914052 | − | 0.405597i | \(-0.132936\pi\) |
−0.0436190 | + | 0.999048i | \(0.513889\pi\) | |||||||
\(272\) | 7.99732 | + | 27.0767i | 0.484909 | + | 1.64177i | ||||
\(273\) | −2.10796 | − | 0.569194i | −0.127579 | − | 0.0344492i | ||||
\(274\) | 20.1169 | − | 6.13917i | 1.21531 | − | 0.370881i | ||||
\(275\) | −5.67594 | + | 3.27701i | −0.342272 | + | 0.197611i | ||||
\(276\) | −5.14970 | + | 7.45665i | −0.309976 | + | 0.448838i | ||||
\(277\) | 3.56330 | − | 2.42942i | 0.214098 | − | 0.145970i | −0.451523 | − | 0.892259i | \(-0.649119\pi\) |
0.665621 | + | 0.746290i | \(0.268167\pi\) | |||||||
\(278\) | −3.26839 | + | 2.21401i | −0.196025 | + | 0.132787i | ||||
\(279\) | −1.02380 | + | 4.48554i | −0.0612930 | + | 0.268542i | ||||
\(280\) | 4.40086 | − | 1.48610i | 0.263002 | − | 0.0888117i | ||||
\(281\) | 7.05006 | + | 30.8883i | 0.420571 | + | 1.84264i | 0.529113 | + | 0.848551i | \(0.322525\pi\) |
−0.108542 | + | 0.994092i | \(0.534618\pi\) | |||||||
\(282\) | 13.8228 | + | 12.9031i | 0.823134 | + | 0.768368i | ||||
\(283\) | −20.1599 | − | 6.21850i | −1.19838 | − | 0.369651i | −0.369582 | − | 0.929198i | \(-0.620499\pi\) |
−0.828799 | + | 0.559547i | \(0.810975\pi\) | |||||||
\(284\) | 4.14710 | + | 13.7368i | 0.246085 | + | 0.815131i | ||||
\(285\) | 0.362382 | + | 1.17482i | 0.0214657 | + | 0.0695900i | ||||
\(286\) | −1.63831 | − | 0.251967i | −0.0968753 | − | 0.0148991i | ||||
\(287\) | −0.483006 | + | 0.0171382i | −0.0285109 | + | 0.00101164i | ||||
\(288\) | −0.507349 | + | 5.63406i | −0.0298958 | + | 0.331990i | ||||
\(289\) | −11.9902 | + | 30.5504i | −0.705304 | + | 1.79709i | ||||
\(290\) | −1.53864 | + | 1.21949i | −0.0903522 | + | 0.0716108i | ||||
\(291\) | −2.54752 | − | 16.9017i | −0.149338 | − | 0.990796i | ||||
\(292\) | 5.37546 | − | 4.23424i | 0.314575 | − | 0.247790i | ||||
\(293\) | 11.4174i | 0.667012i | 0.942748 | + | 0.333506i | \(0.108232\pi\) | ||||
−0.942748 | + | 0.333506i | \(0.891768\pi\) | |||||||
\(294\) | −9.23980 | + | 3.55333i | −0.538876 | + | 0.207234i | ||||
\(295\) | − | 3.98571i | − | 0.232057i | ||||||
\(296\) | 31.7476 | + | 5.07797i | 1.84529 | + | 0.295151i | ||||
\(297\) | −0.211676 | − | 1.40438i | −0.0122827 | − | 0.0814904i | ||||
\(298\) | −6.57098 | − | 8.29068i | −0.380647 | − | 0.480266i | ||||
\(299\) | −1.36613 | + | 3.48083i | −0.0790051 | + | 0.201302i | ||||
\(300\) | 6.72784 | + | 6.31811i | 0.388432 | + | 0.364776i | ||||
\(301\) | −6.66199 | − | 25.0565i | −0.383991 | − | 1.44423i | ||||
\(302\) | 3.74801 | − | 24.3699i | 0.215674 | − | 1.40233i | ||||
\(303\) | −2.99053 | − | 9.69505i | −0.171801 | − | 0.556966i | ||||
\(304\) | 1.67010 | + | 7.74468i | 0.0957870 | + | 0.444188i | ||||
\(305\) | −5.47648 | − | 1.68927i | −0.313582 | − | 0.0967274i | ||||
\(306\) | −6.81135 | + | 7.29683i | −0.389379 | + | 0.417132i | ||||
\(307\) | −1.61490 | − | 7.07536i | −0.0921675 | − | 0.403812i | 0.907708 | − | 0.419603i | \(-0.137831\pi\) |
−0.999875 | + | 0.0157907i | \(0.994973\pi\) | |||||||
\(308\) | −6.67198 | + | 3.45879i | −0.380171 | + | 0.197083i | ||||
\(309\) | 3.41339 | − | 14.9550i | 0.194181 | − | 0.850762i | ||||
\(310\) | −2.26509 | − | 3.34380i | −0.128649 | − | 0.189915i | ||||
\(311\) | 16.8070 | − | 11.4588i | 0.953039 | − | 0.649771i | 0.0163252 | − | 0.999867i | \(-0.494803\pi\) |
0.936714 | + | 0.350096i | \(0.113851\pi\) | |||||||
\(312\) | 0.327097 | + | 2.31118i | 0.0185182 | + | 0.130845i | ||||
\(313\) | −9.81461 | + | 5.66647i | −0.554755 | + | 0.320288i | −0.751038 | − | 0.660260i | \(-0.770446\pi\) |
0.196283 | + | 0.980547i | \(0.437113\pi\) | |||||||
\(314\) | 2.59244 | + | 8.49493i | 0.146300 | + | 0.479397i | ||||
\(315\) | 1.24271 | + | 1.07363i | 0.0700189 | + | 0.0604920i | ||||
\(316\) | −9.18945 | + | 3.54308i | −0.516947 | + | 0.199314i | ||||
\(317\) | −10.9993 | − | 7.49919i | −0.617782 | − | 0.421197i | 0.213582 | − | 0.976925i | \(-0.431487\pi\) |
−0.831364 | + | 0.555729i | \(0.812439\pi\) | |||||||
\(318\) | −7.80615 | − | 0.0234315i | −0.437747 | − | 0.00131397i | ||||
\(319\) | 2.16054 | − | 2.32851i | 0.120967 | − | 0.130372i | ||||
\(320\) | −3.31144 | − | 3.70037i | −0.185115 | − | 0.206857i | ||||
\(321\) | −4.13464 | − | 8.58567i | −0.230773 | − | 0.479206i | ||||
\(322\) | 4.30706 | + | 16.3974i | 0.240023 | + | 0.913789i | ||||
\(323\) | −6.06576 | + | 12.5957i | −0.337508 | + | 0.700842i | ||||
\(324\) | −1.80711 | + | 0.856934i | −0.100395 | + | 0.0476075i | ||||
\(325\) | 3.29815 | + | 1.90419i | 0.182948 | + | 0.105625i | ||||
\(326\) | 4.46737 | + | 1.03377i | 0.247425 | + | 0.0572550i | ||||
\(327\) | 4.96470 | + | 0.748308i | 0.274548 | + | 0.0413815i | ||||
\(328\) | 0.219978 | + | 0.467512i | 0.0121463 | + | 0.0258140i | ||||
\(329\) | 35.1611 | − | 3.89291i | 1.93849 | − | 0.214623i | ||||
\(330\) | 1.02798 | + | 0.705393i | 0.0565883 | + | 0.0388306i | ||||
\(331\) | −14.7413 | + | 1.10471i | −0.810258 | + | 0.0607204i | −0.473414 | − | 0.880840i | \(-0.656979\pi\) |
−0.336844 | + | 0.941561i | \(0.609359\pi\) | |||||||
\(332\) | 1.80744 | − | 4.52522i | 0.0991963 | − | 0.248353i | ||||
\(333\) | 4.15289 | + | 10.5814i | 0.227577 | + | 0.579856i | ||||
\(334\) | −12.3304 | + | 21.2096i | −0.674691 | + | 1.16054i | ||||
\(335\) | −0.219799 | − | 0.275619i | −0.0120089 | − | 0.0150587i | ||||
\(336\) | 7.37828 | + | 7.58689i | 0.402518 | + | 0.413899i | ||||
\(337\) | −12.2912 | + | 15.4127i | −0.669546 | + | 0.839584i | −0.994345 | − | 0.106199i | \(-0.966132\pi\) |
0.324799 | + | 0.945783i | \(0.394703\pi\) | |||||||
\(338\) | −6.31612 | − | 16.2363i | −0.343552 | − | 0.883141i | ||||
\(339\) | 0.379511 | − | 5.06422i | 0.0206122 | − | 0.275051i | ||||
\(340\) | −0.602343 | − | 8.74161i | −0.0326666 | − | 0.474080i | ||||
\(341\) | 4.44451 | + | 4.79005i | 0.240684 | + | 0.259396i | ||||
\(342\) | −2.05906 | + | 1.89906i | −0.111341 | + | 0.102689i | ||||
\(343\) | −6.21809 | + | 17.4452i | −0.335745 | + | 0.941953i | ||||
\(344\) | −21.8248 | + | 17.0855i | −1.17672 | + | 0.921188i | ||||
\(345\) | 2.06169 | − | 1.91297i | 0.110998 | − | 0.102991i | ||||
\(346\) | 15.9329 | + | 12.7845i | 0.856555 | + | 0.687296i | ||||
\(347\) | −32.8163 | − | 2.45924i | −1.76167 | − | 0.132019i | −0.845803 | − | 0.533495i | \(-0.820878\pi\) |
−0.915870 | + | 0.401476i | \(0.868497\pi\) | |||||||
\(348\) | −4.01842 | − | 1.96498i | −0.215410 | − | 0.105334i | ||||
\(349\) | 8.98286 | + | 7.16359i | 0.480841 | + | 0.383458i | 0.833699 | − | 0.552219i | \(-0.186219\pi\) |
−0.352858 | + | 0.935677i | \(0.614790\pi\) | |||||||
\(350\) | 17.1674 | − | 1.84857i | 0.917638 | − | 0.0988103i | ||||
\(351\) | −0.645220 | + | 0.514546i | −0.0344393 | + | 0.0274644i | ||||
\(352\) | 6.20544 | + | 5.10289i | 0.330751 | + | 0.271985i | ||||
\(353\) | −17.8587 | + | 7.00902i | −0.950522 | + | 0.373052i | −0.789398 | − | 0.613882i | \(-0.789607\pi\) |
−0.161124 | + | 0.986934i | \(0.551512\pi\) | |||||||
\(354\) | 8.19339 | − | 3.91547i | 0.435474 | − | 0.208105i | ||||
\(355\) | −0.332801 | − | 4.44092i | −0.0176632 | − | 0.235700i | ||||
\(356\) | 0.184646 | + | 1.27702i | 0.00978622 | + | 0.0676819i | ||||
\(357\) | 2.05501 | + | 18.5610i | 0.108763 | + | 0.982352i | ||||
\(358\) | 18.0590 | − | 10.3542i | 0.954449 | − | 0.547238i | ||||
\(359\) | −1.27705 | + | 8.47270i | −0.0674003 | + | 0.447172i | 0.929521 | + | 0.368768i | \(0.120220\pi\) |
−0.996922 | + | 0.0784036i | \(0.975018\pi\) | |||||||
\(360\) | 0.532572 | − | 1.67292i | 0.0280690 | − | 0.0881706i | ||||
\(361\) | 7.53846 | − | 13.0570i | 0.396761 | − | 0.687210i | ||||
\(362\) | −2.81748 | + | 9.03764i | −0.148083 | + | 0.475008i | ||||
\(363\) | 8.09332 | + | 3.89754i | 0.424789 | + | 0.204568i | ||||
\(364\) | 3.67901 | + | 2.35260i | 0.192833 | + | 0.123310i | ||||
\(365\) | −1.91341 | + | 0.921449i | −0.100152 | + | 0.0482309i | ||||
\(366\) | −1.90736 | − | 12.9175i | −0.0996992 | − | 0.675207i | ||||
\(367\) | −8.93750 | − | 8.29279i | −0.466534 | − | 0.432880i | 0.411550 | − | 0.911387i | \(-0.364988\pi\) |
−0.878084 | + | 0.478507i | \(0.841178\pi\) | |||||||
\(368\) | 14.3047 | − | 11.1293i | 0.745683 | − | 0.580153i | ||||
\(369\) | −0.102904 | + | 0.150932i | −0.00535696 | + | 0.00785722i | ||||
\(370\) | −9.27760 | − | 3.67337i | −0.482319 | − | 0.190969i | ||||
\(371\) | −9.54740 | + | 11.0510i | −0.495677 | + | 0.573740i | ||||
\(372\) | 4.64865 | − | 7.94122i | 0.241021 | − | 0.411733i | ||||
\(373\) | 10.7356 | + | 18.5947i | 0.555871 | + | 0.962796i | 0.997835 | + | 0.0657637i | \(0.0209484\pi\) |
−0.441965 | + | 0.897033i | \(0.645718\pi\) | |||||||
\(374\) | 3.11312 | + | 13.8307i | 0.160975 | + | 0.715168i | ||||
\(375\) | −3.36189 | − | 4.93099i | −0.173607 | − | 0.254635i | ||||
\(376\) | −18.6135 | − | 32.9207i | −0.959920 | − | 1.69776i | ||||
\(377\) | −1.79949 | − | 0.410721i | −0.0926782 | − | 0.0211532i | ||||
\(378\) | −0.986233 | + | 3.60934i | −0.0507263 | + | 0.185644i | ||||
\(379\) | 13.3984 | − | 3.05810i | 0.688230 | − | 0.157084i | 0.135916 | − | 0.990720i | \(-0.456602\pi\) |
0.552314 | + | 0.833636i | \(0.313745\pi\) | |||||||
\(380\) | 0.0147613 | − | 2.45883i | 0.000757240 | − | 0.126135i | ||||
\(381\) | −4.61576 | + | 14.9639i | −0.236473 | + | 0.766625i | ||||
\(382\) | −3.41979 | + | 7.04708i | −0.174972 | + | 0.360560i | ||||
\(383\) | −7.00739 | + | 2.16149i | −0.358061 | + | 0.110447i | −0.468566 | − | 0.883428i | \(-0.655229\pi\) |
0.110505 | + | 0.993876i | \(0.464753\pi\) | |||||||
\(384\) | 4.35372 | − | 10.4425i | 0.222175 | − | 0.532890i | ||||
\(385\) | 2.25409 | − | 0.599316i | 0.114879 | − | 0.0305440i | ||||
\(386\) | −1.69645 | − | 23.5875i | −0.0863471 | − | 1.20057i | ||||
\(387\) | −9.12207 | − | 3.58015i | −0.463701 | − | 0.181989i | ||||
\(388\) | −5.29789 | + | 33.7722i | −0.268959 | + | 1.71453i | ||||
\(389\) | −24.9594 | + | 3.76203i | −1.26549 | + | 0.190742i | −0.747280 | − | 0.664509i | \(-0.768641\pi\) |
−0.518213 | + | 0.855252i | \(0.673403\pi\) | |||||||
\(390\) | 0.0563056 | − | 0.722248i | 0.00285115 | − | 0.0365724i | ||||
\(391\) | 31.9813 | 1.61736 | ||||||||
\(392\) | 19.7610 | − | 1.22537i | 0.998083 | − | 0.0618905i | ||||
\(393\) | 2.39356 | 0.120739 | ||||||||
\(394\) | −0.367497 | + | 4.71398i | −0.0185142 | + | 0.237487i | ||||
\(395\) | 3.02252 | − | 0.455571i | 0.152079 | − | 0.0229223i | ||||
\(396\) | −0.440207 | + | 2.80617i | −0.0221212 | + | 0.141015i | ||||
\(397\) | −15.6055 | − | 6.12471i | −0.783218 | − | 0.307390i | −0.0601698 | − | 0.998188i | \(-0.519164\pi\) |
−0.723048 | + | 0.690798i | \(0.757259\pi\) | |||||||
\(398\) | −0.339103 | − | 4.71488i | −0.0169977 | − | 0.236336i | ||||
\(399\) | 0.185824 | + | 5.23708i | 0.00930285 | + | 0.262182i | ||||
\(400\) | −9.03683 | − | 16.0955i | −0.451841 | − | 0.804775i | ||||
\(401\) | −9.77007 | + | 3.01367i | −0.487894 | + | 0.150495i | −0.528935 | − | 0.848662i | \(-0.677409\pi\) |
0.0410415 | + | 0.999157i | \(0.486932\pi\) | |||||||
\(402\) | 0.350663 | − | 0.722602i | 0.0174895 | − | 0.0360401i | ||||
\(403\) | 1.11918 | − | 3.62828i | 0.0557502 | − | 0.180738i | ||||
\(404\) | −0.121816 | + | 20.2912i | −0.00606059 | + | 1.00953i | ||||
\(405\) | 0.605152 | − | 0.138122i | 0.0300703 | − | 0.00686334i | ||||
\(406\) | −7.68662 | + | 3.30859i | −0.381481 | + | 0.164203i | ||||
\(407\) | 15.7394 | + | 3.59240i | 0.780171 | + | 0.178069i | ||||
\(408\) | 17.3783 | − | 9.82580i | 0.860356 | − | 0.486450i | ||||
\(409\) | −17.4433 | − | 25.5846i | −0.862514 | − | 1.26508i | −0.962827 | − | 0.270120i | \(-0.912937\pi\) |
0.100313 | − | 0.994956i | \(-0.468016\pi\) | |||||||
\(410\) | −0.0352130 | − | 0.156441i | −0.00173905 | − | 0.00772609i | ||||
\(411\) | −7.43622 | − | 12.8799i | −0.366802 | − | 0.635319i | ||||
\(412\) | −15.4988 | + | 26.4764i | −0.763573 | + | 1.30440i | ||||
\(413\) | 4.42872 | − | 16.4014i | 0.217923 | − | 0.807059i | ||||
\(414\) | 5.95785 | + | 2.35895i | 0.292812 | + | 0.115936i | ||||
\(415\) | −0.851919 | + | 1.24954i | −0.0418190 | + | 0.0613373i | ||||
\(416\) | 0.764993 | − | 4.60532i | 0.0375069 | − | 0.225794i | ||||
\(417\) | 2.04627 | + | 1.89866i | 0.100206 | + | 0.0929776i | ||||
\(418\) | 0.581116 | + | 3.93557i | 0.0284233 | + | 0.192495i | ||||
\(419\) | 15.2156 | − | 7.32746i | 0.743332 | − | 0.357970i | −0.0235800 | − | 0.999722i | \(-0.507506\pi\) |
0.766912 | + | 0.641752i | \(0.221792\pi\) | |||||||
\(420\) | −1.72534 | − | 2.79486i | −0.0841881 | − | 0.136375i | ||||
\(421\) | 30.9897 | + | 14.9238i | 1.51034 | + | 0.727343i | 0.991811 | − | 0.127714i | \(-0.0407641\pi\) |
0.518533 | + | 0.855058i | \(0.326478\pi\) | |||||||
\(422\) | 9.72103 | − | 31.1822i | 0.473212 | − | 1.51792i | ||||
\(423\) | 6.68542 | − | 11.5795i | 0.325056 | − | 0.563014i | ||||
\(424\) | 14.8767 | + | 4.73598i | 0.722477 | + | 0.230000i | ||||
\(425\) | 4.85459 | − | 32.2081i | 0.235482 | − | 1.56232i | ||||
\(426\) | 8.80223 | − | 5.04680i | 0.426469 | − | 0.244518i | ||||
\(427\) | −20.6590 | − | 13.0366i | −0.999757 | − | 0.630887i | ||||
\(428\) | 2.72737 | + | 18.8626i | 0.131833 | + | 0.911758i | ||||
\(429\) | 0.0875897 | + | 1.16880i | 0.00422887 | + | 0.0564304i | ||||
\(430\) | 7.76149 | − | 3.70908i | 0.374292 | − | 0.178868i | ||||
\(431\) | 20.7106 | − | 8.12830i | 0.997593 | − | 0.391526i | 0.190331 | − | 0.981720i | \(-0.439044\pi\) |
0.807262 | + | 0.590194i | \(0.200949\pi\) | |||||||
\(432\) | 3.96220 | − | 0.548637i | 0.190631 | − | 0.0263963i | ||||
\(433\) | 19.6127 | − | 15.6406i | 0.942528 | − | 0.751641i | −0.0262284 | − | 0.999656i | \(-0.508350\pi\) |
0.968756 | + | 0.248015i | \(0.0797783\pi\) | |||||||
\(434\) | −5.60550 | − | 16.2768i | −0.269073 | − | 0.781311i | ||||
\(435\) | 1.08539 | + | 0.865571i | 0.0520405 | + | 0.0415009i | ||||
\(436\) | −9.02081 | − | 4.41110i | −0.432018 | − | 0.211253i | ||||
\(437\) | 8.94942 | + | 0.670667i | 0.428109 | + | 0.0320823i | ||||
\(438\) | −3.77391 | − | 3.02817i | −0.180324 | − | 0.144691i | ||||
\(439\) | 11.0750 | − | 10.2761i | 0.528579 | − | 0.490449i | −0.370139 | − | 0.928976i | \(-0.620690\pi\) |
0.898718 | + | 0.438527i | \(0.144500\pi\) | |||||||
\(440\) | −1.53702 | − | 1.96337i | −0.0732746 | − | 0.0936002i | ||||
\(441\) | 3.92086 | + | 5.79887i | 0.186708 | + | 0.276137i | ||||
\(442\) | 6.05548 | − | 5.58493i | 0.288030 | − | 0.265648i | ||||
\(443\) | −1.74084 | − | 1.87618i | −0.0827099 | − | 0.0891400i | 0.690341 | − | 0.723484i | \(-0.257461\pi\) |
−0.773051 | + | 0.634344i | \(0.781270\pi\) | |||||||
\(444\) | −1.56281 | − | 22.6805i | −0.0741675 | − | 1.07637i | ||||
\(445\) | 0.0299260 | − | 0.399334i | 0.00141863 | − | 0.0189303i | ||||
\(446\) | 5.90696 | + | 15.1846i | 0.279703 | + | 0.719009i | ||||
\(447\) | −4.66396 | + | 5.84842i | −0.220598 | + | 0.276621i | ||||
\(448\) | −9.51509 | − | 18.9067i | −0.449546 | − | 0.893257i | ||||
\(449\) | 7.89498 | + | 9.89999i | 0.372587 | + | 0.467210i | 0.932410 | − | 0.361403i | \(-0.117702\pi\) |
−0.559823 | + | 0.828613i | \(0.689131\pi\) | |||||||
\(450\) | 3.28005 | − | 5.64203i | 0.154623 | − | 0.265968i | ||||
\(451\) | 0.0947846 | + | 0.241507i | 0.00446323 | + | 0.0113721i | ||||
\(452\) | −3.76740 | + | 9.43228i | −0.177204 | + | 0.443657i | ||||
\(453\) | −17.3860 | + | 1.30290i | −0.816864 | + | 0.0612155i | ||||
\(454\) | −34.5786 | − | 23.7277i | −1.62285 | − | 1.11359i | ||||
\(455\) | −0.956489 | − | 0.960193i | −0.0448409 | − | 0.0450146i | ||||
\(456\) | 5.06909 | − | 2.38515i | 0.237382 | − | 0.111695i | ||||
\(457\) | 2.16619 | + | 0.326500i | 0.101330 | + | 0.0152730i | 0.199511 | − | 0.979895i | \(-0.436064\pi\) |
−0.0981815 | + | 0.995169i | \(0.531303\pi\) | |||||||
\(458\) | 16.5656 | + | 3.83333i | 0.774058 | + | 0.179120i | ||||
\(459\) | 6.11264 | + | 3.52913i | 0.285313 | + | 0.164726i | ||||
\(460\) | −5.08248 | + | 2.41011i | −0.236972 | + | 0.112372i | ||||
\(461\) | 13.8404 | − | 28.7399i | 0.644612 | − | 1.33855i | −0.280866 | − | 0.959747i | \(-0.590622\pi\) |
0.925477 | − | 0.378803i | \(-0.123664\pi\) | |||||||
\(462\) | 3.44638 | + | 4.04496i | 0.160340 | + | 0.188189i | ||||
\(463\) | 5.31504 | + | 11.0368i | 0.247011 | + | 0.512924i | 0.987202 | − | 0.159473i | \(-0.0509794\pi\) |
−0.740191 | + | 0.672396i | \(0.765265\pi\) | |||||||
\(464\) | 6.48453 | + | 6.16329i | 0.301037 | + | 0.286124i | ||||
\(465\) | −1.94247 | + | 2.09348i | −0.0900797 | + | 0.0970829i | ||||
\(466\) | 32.3962 | + | 0.0972428i | 1.50072 | + | 0.00450469i | ||||
\(467\) | −3.65043 | − | 2.48882i | −0.168922 | − | 0.115169i | 0.475908 | − | 0.879495i | \(-0.342119\pi\) |
−0.644830 | + | 0.764326i | \(0.723072\pi\) | |||||||
\(468\) | 1.54003 | − | 0.593774i | 0.0711880 | − | 0.0274472i | ||||
\(469\) | −0.598229 | − | 1.37842i | −0.0276237 | − | 0.0636494i | ||||
\(470\) | 3.42593 | + | 11.2261i | 0.158026 | + | 0.517822i | ||||
\(471\) | 5.43891 | − | 3.14016i | 0.250612 | − | 0.144691i | ||||
\(472\) | −17.9826 | + | 2.54504i | −0.827715 | + | 0.117145i | ||||
\(473\) | −11.4993 | + | 7.84009i | −0.528738 | + | 0.360488i | ||||
\(474\) | 3.90577 | + | 5.76582i | 0.179398 | + | 0.264833i | ||||
\(475\) | 2.03390 | − | 8.91109i | 0.0933217 | − | 0.408869i | ||||
\(476\) | 7.23458 | − | 36.6414i | 0.331597 | − | 1.67946i | ||||
\(477\) | 1.22827 | + | 5.38142i | 0.0562388 | + | 0.246398i | ||||
\(478\) | −1.24732 | + | 1.33622i | −0.0570510 | + | 0.0611174i | ||||
\(479\) | 24.4733 | + | 7.54901i | 1.11821 | + | 0.344923i | 0.798142 | − | 0.602470i | \(-0.205817\pi\) |
0.320072 | + | 0.947393i | \(0.396293\pi\) | |||||||
\(480\) | −2.02130 | + | 2.87115i | −0.0922593 | + | 0.131050i | ||||
\(481\) | −2.76508 | − | 8.96417i | −0.126077 | − | 0.408731i | ||||
\(482\) | 1.27749 | − | 8.30634i | 0.0581881 | − | 0.378344i | ||||
\(483\) | 10.6096 | − | 5.58112i | 0.482752 | − | 0.253950i | ||||
\(484\) | −13.0963 | − | 12.2987i | −0.595285 | − | 0.559032i | ||||
\(485\) | 3.87614 | − | 9.87624i | 0.176006 | − | 0.448457i | ||||
\(486\) | 0.878425 | + | 1.10832i | 0.0398462 | + | 0.0502743i | ||||
\(487\) | 2.92596 | + | 19.4125i | 0.132588 | + | 0.879663i | 0.951921 | + | 0.306345i | \(0.0991060\pi\) |
−0.819333 | + | 0.573318i | \(0.805656\pi\) | |||||||
\(488\) | −4.12462 | + | 25.7873i | −0.186713 | + | 1.16733i | ||||
\(489\) | − | 3.24238i | − | 0.146626i | ||||||
\(490\) | −6.06970 | − | 0.957529i | −0.274201 | − | 0.0432568i | ||||
\(491\) | − | 9.88969i | − | 0.446315i | −0.974782 | − | 0.223158i | \(-0.928364\pi\) | ||
0.974782 | − | 0.223158i | \(-0.0716365\pi\) | |||||||
\(492\) | 0.287003 | − | 0.226072i | 0.0129391 | − | 0.0101921i | ||||
\(493\) | 2.35282 | + | 15.6099i | 0.105966 | + | 0.703036i | ||||
\(494\) | 1.81165 | − | 1.43586i | 0.0815098 | − | 0.0646026i | ||||
\(495\) | 0.322072 | − | 0.820627i | 0.0144761 | − | 0.0368844i | ||||
\(496\) | −13.6401 | + | 12.3547i | −0.612458 | + | 0.554744i | ||||
\(497\) | 3.56504 | − | 18.6444i | 0.159914 | − | 0.836315i | ||||
\(498\) | −3.40557 | − | 0.523766i | −0.152607 | − | 0.0234705i | ||||
\(499\) | −7.78088 | − | 25.2250i | −0.348320 | − | 1.12923i | −0.945089 | − | 0.326812i | \(-0.894025\pi\) |
0.596769 | − | 0.802413i | \(-0.296451\pi\) | |||||||
\(500\) | 3.44966 | + | 11.4266i | 0.154273 | + | 0.511014i | ||||
\(501\) | 16.5770 | + | 5.11334i | 0.740607 | + | 0.228447i | ||||
\(502\) | −11.6728 | − | 10.8961i | −0.520982 | − | 0.486319i | ||||
\(503\) | 5.25406 | + | 23.0195i | 0.234267 | + | 1.02639i | 0.946058 | + | 0.323999i | \(0.105027\pi\) |
−0.711791 | + | 0.702392i | \(0.752116\pi\) | |||||||
\(504\) | 4.05043 | − | 6.29238i | 0.180420 | − | 0.280285i | ||||
\(505\) | 1.40136 | − | 6.13975i | 0.0623596 | − | 0.273215i | ||||
\(506\) | 7.53471 | − | 5.10402i | 0.334959 | − | 0.226901i | ||||
\(507\) | −10.1784 | + | 6.93950i | −0.452038 | + | 0.308194i | ||||
\(508\) | 17.7978 | − | 25.7708i | 0.789650 | − | 1.14340i | ||||
\(509\) | −10.9194 | + | 6.30430i | −0.483992 | + | 0.279433i | −0.722079 | − | 0.691811i | \(-0.756813\pi\) |
0.238087 | + | 0.971244i | \(0.423480\pi\) | |||||||
\(510\) | −5.92610 | + | 1.80850i | −0.262412 | + | 0.0800816i | ||||
\(511\) | −8.89764 | + | 1.66572i | −0.393608 | + | 0.0736872i | ||||
\(512\) | −14.5807 | + | 17.3033i | −0.644381 | + | 0.764705i | ||||
\(513\) | 1.63651 | + | 1.11576i | 0.0722538 | + | 0.0492618i | ||||
\(514\) | −0.0127810 | + | 4.25797i | −0.000563747 | + | 0.187811i | ||||
\(515\) | 6.47628 | − | 6.97978i | 0.285379 | − | 0.307566i | ||||
\(516\) | 15.2494 | + | 12.3115i | 0.671319 | + | 0.541984i | ||||
\(517\) | −8.23939 | − | 17.1093i | −0.362368 | − | 0.752465i | ||||
\(518\) | −34.0961 | − | 25.4249i | −1.49810 | − | 1.11711i | ||||
\(519\) | 6.26732 | − | 13.0142i | 0.275105 | − | 0.571261i | ||||
\(520\) | −0.541458 | + | 1.34390i | −0.0237445 | + | 0.0589340i | ||||
\(521\) | 28.5214 | + | 16.4669i | 1.24955 | + | 0.721426i | 0.971019 | − | 0.239002i | \(-0.0768201\pi\) |
0.278528 | + | 0.960428i | \(0.410153\pi\) | |||||||
\(522\) | −0.713082 | + | 3.08155i | −0.0312107 | + | 0.134876i | ||||
\(523\) | 18.8375 | + | 2.83930i | 0.823707 | + | 0.124154i | 0.547353 | − | 0.836902i | \(-0.315636\pi\) |
0.276354 | + | 0.961056i | \(0.410874\pi\) | |||||||
\(524\) | −4.56590 | − | 1.43847i | −0.199462 | − | 0.0628397i | ||||
\(525\) | −4.01023 | − | 11.5320i | −0.175021 | − | 0.503298i | ||||
\(526\) | −11.4701 | + | 16.7156i | −0.500121 | + | 0.728833i | ||||
\(527\) | −32.3835 | + | 2.42681i | −1.41065 | + | 0.105714i | ||||
\(528\) | 2.52616 | − | 5.08842i | 0.109937 | − | 0.221445i | ||||
\(529\) | 0.902288 | + | 2.29899i | 0.0392299 | + | 0.0999561i | ||||
\(530\) | −4.18896 | − | 2.43529i | −0.181957 | − | 0.105782i | ||||
\(531\) | −4.00353 | − | 5.02026i | −0.173738 | − | 0.217861i | ||||
\(532\) | 2.79287 | − | 10.1018i | 0.121086 | − | 0.437968i | ||||
\(533\) | 0.0939941 | − | 0.117865i | 0.00407134 | − | 0.00510530i | ||||
\(534\) | 0.850307 | − | 0.330779i | 0.0367964 | − | 0.0143142i | ||||
\(535\) | 0.442031 | − | 5.89849i | 0.0191106 | − | 0.255014i | ||||
\(536\) | −1.10318 | + | 1.16768i | −0.0476500 | + | 0.0504359i | ||||
\(537\) | −10.0119 | − | 10.7903i | −0.432047 | − | 0.465636i | ||||
\(538\) | −27.4573 | − | 29.7707i | −1.18377 | − | 1.28350i | ||||
\(539\) | 9.94163 | + | 0.0384225i | 0.428216 | + | 0.00165497i | ||||
\(540\) | −1.23738 | − | 0.100202i | −0.0532483 | − | 0.00431202i | ||||
\(541\) | 24.1032 | − | 22.3645i | 1.03628 | − | 0.961526i | 0.0369926 | − | 0.999316i | \(-0.488222\pi\) |
0.999286 | + | 0.0377898i | \(0.0120317\pi\) | |||||||
\(542\) | −15.3493 | + | 19.1293i | −0.659309 | + | 0.821675i | ||||
\(543\) | 6.67521 | + | 0.500237i | 0.286460 | + | 0.0214672i | ||||
\(544\) | −39.0555 | + | 8.29952i | −1.67449 | + | 0.355839i | ||||
\(545\) | 2.43655 | + | 1.94309i | 0.104370 | + | 0.0832327i | ||||
\(546\) | 1.03423 | − | 2.90952i | 0.0442608 | − | 0.124516i | ||||
\(547\) | −17.4024 | + | 13.8780i | −0.744073 | + | 0.593379i | −0.920411 | − | 0.390951i | \(-0.872146\pi\) |
0.176338 | + | 0.984330i | \(0.443575\pi\) | |||||||
\(548\) | 6.44465 | + | 29.0383i | 0.275302 | + | 1.24046i | ||||
\(549\) | −8.59481 | + | 3.37322i | −0.366818 | + | 0.143965i | ||||
\(550\) | −3.99649 | − | 8.36291i | −0.170411 | − | 0.356596i | ||||
\(551\) | 0.331047 | + | 4.41752i | 0.0141031 | + | 0.188193i | ||||
\(552\) | −9.94736 | − | 8.08036i | −0.423388 | − | 0.343923i | ||||
\(553\) | 12.9440 | + | 1.48378i | 0.550435 | + | 0.0630966i | ||||
\(554\) | 3.03365 | + | 5.29106i | 0.128888 | + | 0.224795i | ||||
\(555\) | −1.05161 | + | 6.97695i | −0.0446382 | + | 0.296155i | ||||
\(556\) | −2.76236 | − | 4.85158i | −0.117150 | − | 0.205753i | ||||
\(557\) | −1.41455 | + | 2.45008i | −0.0599366 | + | 0.103813i | −0.894437 | − | 0.447194i | \(-0.852423\pi\) |
0.834500 | + | 0.551008i | \(0.185757\pi\) | |||||||
\(558\) | −6.21179 | − | 1.93652i | −0.262966 | − | 0.0819795i | ||||
\(559\) | 7.28631 | + | 3.50890i | 0.308178 | + | 0.148411i | ||||
\(560\) | 1.61158 | + | 6.36828i | 0.0681017 | + | 0.269109i | ||||
\(561\) | 9.03172 | − | 4.34945i | 0.381320 | − | 0.183634i | ||||
\(562\) | −44.3255 | + | 6.54498i | −1.86976 | + | 0.276083i | ||||
\(563\) | 1.98536 | + | 1.84214i | 0.0836729 | + | 0.0776371i | 0.720901 | − | 0.693039i | \(-0.243728\pi\) |
−0.637228 | + | 0.770676i | \(0.719919\pi\) | |||||||
\(564\) | −19.7119 | + | 18.0710i | −0.830020 | + | 0.760925i | ||||
\(565\) | 1.77573 | − | 2.60451i | 0.0747053 | − | 0.109573i | ||||
\(566\) | 10.9836 | − | 27.7406i | 0.461675 | − | 1.16602i | ||||
\(567\) | 2.64371 | + | 0.104037i | 0.111025 | + | 0.00436913i | ||||
\(568\) | −19.8239 | + | 4.33724i | −0.831791 | + | 0.181986i | ||||
\(569\) | 5.37683 | + | 9.31294i | 0.225408 | + | 0.390419i | 0.956442 | − | 0.291923i | \(-0.0942950\pi\) |
−0.731033 | + | 0.682342i | \(0.760962\pi\) | |||||||
\(570\) | −1.69625 | + | 0.381804i | −0.0710479 | + | 0.0159920i | ||||
\(571\) | 12.7517 | + | 18.7034i | 0.533644 | + | 0.782712i | 0.994497 | − | 0.104765i | \(-0.0334089\pi\) |
−0.460853 | + | 0.887476i | \(0.652457\pi\) | |||||||
\(572\) | 0.535336 | − | 2.28222i | 0.0223835 | − | 0.0954243i | ||||
\(573\) | 5.39992 | + | 1.23250i | 0.225585 | + | 0.0514883i | ||||
\(574\) | 0.0289268 | − | 0.682891i | 0.00120738 | − | 0.0285033i | ||||
\(575\) | −20.3852 | + | 4.65279i | −0.850121 | + | 0.194035i | ||||
\(576\) | −7.88789 | − | 1.33461i | −0.328662 | − | 0.0556087i | ||||
\(577\) | 1.93231 | − | 6.26441i | 0.0804433 | − | 0.260791i | −0.906413 | − | 0.422393i | \(-0.861190\pi\) |
0.986856 | + | 0.161603i | \(0.0516663\pi\) | |||||||
\(578\) | −41.7562 | − | 20.2634i | −1.73683 | − | 0.842845i | ||||
\(579\) | −15.9790 | + | 4.92888i | −0.664066 | + | 0.204837i | ||||
\(580\) | −1.55028 | − | 2.30343i | −0.0643718 | − | 0.0956447i | ||||
\(581\) | −4.89411 | + | 4.19529i | −0.203042 | + | 0.174050i | ||||
\(582\) | 24.1103 | − | 1.73406i | 0.999406 | − | 0.0718791i | ||||
\(583\) | 7.29756 | + | 2.86408i | 0.302234 | + | 0.118618i | ||||
\(584\) | 5.37915 | + | 8.04446i | 0.222591 | + | 0.332882i | ||||
\(585\) | −0.506534 | + | 0.0763478i | −0.0209426 | + | 0.00315659i | ||||
\(586\) | −16.0978 | − | 1.25497i | −0.664994 | − | 0.0518422i | ||||
\(587\) | 15.9359 | 0.657744 | 0.328872 | − | 0.944375i | \(-0.393332\pi\) | ||||
0.328872 | + | 0.944375i | \(0.393332\pi\) | |||||||
\(588\) | −3.99436 | − | 13.4181i | −0.164725 | − | 0.553353i | ||||
\(589\) | −9.11289 | −0.375490 | ||||||||
\(590\) | 5.61959 | + | 0.438097i | 0.231355 | + | 0.0180362i | ||||
\(591\) | 3.30606 | − | 0.498308i | 0.135993 | − | 0.0204977i | ||||
\(592\) | −10.6492 | + | 44.2039i | −0.437680 | + | 1.81677i | ||||
\(593\) | 17.2099 | + | 6.75439i | 0.706726 | + | 0.277370i | 0.691358 | − | 0.722512i | \(-0.257013\pi\) |
0.0153682 | + | 0.999882i | \(0.495108\pi\) | |||||||
\(594\) | 2.00335 | − | 0.144085i | 0.0821986 | − | 0.00591187i | ||||
\(595\) | −4.65586 | + | 10.6153i | −0.190872 | + | 0.435187i | ||||
\(596\) | 12.4116 | − | 8.35337i | 0.508398 | − | 0.342167i | ||||
\(597\) | −3.19404 | + | 0.985230i | −0.130723 | + | 0.0403228i | ||||
\(598\) | −4.75759 | − | 2.30875i | −0.194552 | − | 0.0944119i | ||||
\(599\) | 11.3341 | − | 36.7443i | 0.463099 | − | 1.50133i | −0.359738 | − | 0.933053i | \(-0.617134\pi\) |
0.822837 | − | 0.568277i | \(-0.192390\pi\) | |||||||
\(600\) | −9.64763 | + | 8.79135i | −0.393863 | + | 0.358906i | ||||
\(601\) | 25.2890 | − | 5.77205i | 1.03156 | − | 0.235447i | 0.326950 | − | 0.945042i | \(-0.393979\pi\) |
0.704610 | + | 0.709595i | \(0.251122\pi\) | |||||||
\(602\) | 36.0602 | − | 6.63884i | 1.46971 | − | 0.270579i | ||||
\(603\) | −0.553703 | − | 0.126379i | −0.0225485 | − | 0.00514655i | ||||
\(604\) | 33.9480 | + | 7.96312i | 1.38132 | + | 0.324015i | ||||
\(605\) | 3.14097 | + | 4.60696i | 0.127699 | + | 0.187300i | ||||
\(606\) | 13.9981 | − | 3.15080i | 0.568634 | − | 0.127992i | ||||
\(607\) | 6.27497 | + | 10.8686i | 0.254693 | + | 0.441142i | 0.964812 | − | 0.262940i | \(-0.0846922\pi\) |
−0.710119 | + | 0.704082i | \(0.751359\pi\) | |||||||
\(608\) | −11.1031 | + | 1.50347i | −0.450289 | + | 0.0609736i | ||||
\(609\) | 3.50466 | + | 4.76790i | 0.142016 | + | 0.193205i | ||||
\(610\) | 2.98372 | − | 7.53581i | 0.120807 | − | 0.305116i | ||||
\(611\) | −6.21597 | + | 9.11715i | −0.251471 | + | 0.368841i | ||||
\(612\) | −9.53938 | − | 10.4056i | −0.385607 | − | 0.420622i | ||||
\(613\) | −23.6124 | − | 21.9091i | −0.953694 | − | 0.884899i | 0.0397510 | − | 0.999210i | \(-0.487344\pi\) |
−0.993445 | + | 0.114311i | \(0.963534\pi\) | |||||||
\(614\) | 10.1533 | − | 1.49921i | 0.409754 | − | 0.0605032i | ||||
\(615\) | −0.102159 | + | 0.0491974i | −0.00411947 | + | 0.00198383i | ||||
\(616\) | −4.14331 | − | 9.78724i | −0.166939 | − | 0.394339i | ||||
\(617\) | 40.1587 | + | 19.3394i | 1.61673 | + | 0.778576i | 0.999963 | − | 0.00857046i | \(-0.00272810\pi\) |
0.616766 | + | 0.787146i | \(0.288442\pi\) | |||||||
\(618\) | 20.7104 | + | 6.45647i | 0.833096 | + | 0.259717i | ||||
\(619\) | 14.0111 | − | 24.2679i | 0.563153 | − | 0.975409i | −0.434066 | − | 0.900881i | \(-0.642922\pi\) |
0.997219 | − | 0.0745283i | \(-0.0237451\pi\) | |||||||
\(620\) | 4.96352 | − | 2.82610i | 0.199340 | − | 0.113499i | ||||
\(621\) | 0.675316 | − | 4.48043i | 0.0270995 | − | 0.179793i | ||||
\(622\) | 14.3088 | + | 24.9563i | 0.573732 | + | 1.00066i | ||||
\(623\) | 0.566867 | − | 1.61003i | 0.0227111 | − | 0.0645044i | ||||
\(624\) | −3.29457 | + | 0.207149i | −0.131888 | + | 0.00829258i | ||||
\(625\) | 1.44746 | + | 19.3150i | 0.0578983 | + | 0.772599i | ||||
\(626\) | −6.91056 | − | 14.4608i | −0.276202 | − | 0.577970i | ||||
\(627\) | 2.61859 | − | 1.02772i | 0.104576 | − | 0.0410432i | ||||
\(628\) | −12.2623 | + | 2.72144i | −0.489317 | + | 0.108597i | ||||
\(629\) | −62.7282 | + | 50.0241i | −2.50114 | + | 1.99459i | ||||
\(630\) | −1.65034 | + | 1.63413i | −0.0657511 | + | 0.0651055i | ||||
\(631\) | 30.7864 | + | 24.5514i | 1.22559 | + | 0.977374i | 0.999995 | + | 0.00315261i | \(0.00100351\pi\) |
0.225593 | + | 0.974222i | \(0.427568\pi\) | |||||||
\(632\) | −3.98544 | − | 13.3460i | −0.158532 | − | 0.530875i | ||||
\(633\) | −23.0312 | − | 1.72595i | −0.915406 | − | 0.0686002i | ||||
\(634\) | 11.7824 | − | 14.6840i | 0.467938 | − | 0.583176i | ||||
\(635\) | −7.12539 | + | 6.61140i | −0.282762 | + | 0.262365i | ||||
\(636\) | 0.891066 | − | 11.0036i | 0.0353330 | − | 0.436321i | ||||
\(637\) | −2.86908 | − | 5.01405i | −0.113677 | − | 0.198664i | ||||
\(638\) | 3.04557 | + | 3.30217i | 0.120575 | + | 0.130734i | ||||
\(639\) | −4.87996 | − | 5.25935i | −0.193048 | − | 0.208056i | ||||
\(640\) | 5.58126 | − | 4.26219i | 0.220619 | − | 0.168478i | ||||
\(641\) | −0.908690 | + | 12.1256i | −0.0358911 | + | 0.478934i | 0.950079 | + | 0.312010i | \(0.101002\pi\) |
−0.985970 | + | 0.166923i | \(0.946617\pi\) | |||||||
\(642\) | 12.5597 | − | 4.88587i | 0.495692 | − | 0.192830i | ||||
\(643\) | 8.80422 | − | 11.0401i | 0.347205 | − | 0.435381i | −0.577311 | − | 0.816524i | \(-0.695898\pi\) |
0.924516 | + | 0.381143i | \(0.124470\pi\) | |||||||
\(644\) | −23.5926 | + | 4.27033i | −0.929680 | + | 0.168274i | ||||
\(645\) | −3.79249 | − | 4.75563i | −0.149329 | − | 0.187253i | ||||
\(646\) | −17.0924 | − | 9.93680i | −0.672490 | − | 0.390958i | ||||
\(647\) | −8.22345 | − | 20.9530i | −0.323297 | − | 0.823748i | −0.996445 | − | 0.0842405i | \(-0.973154\pi\) |
0.673148 | − | 0.739508i | \(-0.264942\pi\) | |||||||
\(648\) | −1.00959 | − | 2.64211i | −0.0396604 | − | 0.103792i | ||||
\(649\) | −9.09411 | + | 0.681509i | −0.356975 | + | 0.0267516i | ||||
\(650\) | −3.04730 | + | 4.44087i | −0.119525 | + | 0.174185i | ||||
\(651\) | −10.3195 | + | 6.45640i | −0.404454 | + | 0.253046i | ||||
\(652\) | −1.94858 | + | 6.18508i | −0.0763125 | + | 0.242226i | ||||
\(653\) | 3.42559 | + | 0.516325i | 0.134054 | + | 0.0202054i | 0.215726 | − | 0.976454i | \(-0.430788\pi\) |
−0.0816725 | + | 0.996659i | \(0.526026\pi\) | |||||||
\(654\) | −1.60077 | + | 6.91765i | −0.0625951 | + | 0.270502i | ||||
\(655\) | 1.28667 | + | 0.742861i | 0.0502744 | + | 0.0290260i | ||||
\(656\) | −0.683342 | + | 0.258767i | −0.0266800 | + | 0.0101032i | ||||
\(657\) | −1.48450 | + | 3.08259i | −0.0579157 | + | 0.120263i | ||||
\(658\) | 1.62395 | + | 50.0028i | 0.0633083 | + | 1.94931i | ||||
\(659\) | 5.06565 | + | 10.5189i | 0.197330 | + | 0.409760i | 0.976030 | − | 0.217637i | \(-0.0698348\pi\) |
−0.778700 | + | 0.627396i | \(0.784121\pi\) | |||||||
\(660\) | −1.10755 | + | 1.37185i | −0.0431113 | + | 0.0533991i | ||||
\(661\) | 13.2529 | − | 14.2833i | 0.515480 | − | 0.555555i | −0.420644 | − | 0.907226i | \(-0.638196\pi\) |
0.936124 | + | 0.351671i | \(0.114386\pi\) | |||||||
\(662\) | 0.0627523 | − | 20.9058i | 0.00243894 | − | 0.812526i | ||||
\(663\) | −4.81281 | − | 3.28132i | −0.186914 | − | 0.127436i | ||||
\(664\) | 6.18159 | + | 3.04577i | 0.239892 | + | 0.118199i | ||||
\(665\) | −1.52548 | + | 2.87289i | −0.0591555 | + | 0.111406i | ||||
\(666\) | −15.3755 | + | 4.69223i | −0.595790 | + | 0.181820i | ||||
\(667\) | 8.77625 | − | 5.06697i | 0.339818 | − | 0.196194i | ||||
\(668\) | −28.5489 | − | 19.7164i | −1.10459 | − | 0.762851i | ||||
\(669\) | 9.51902 | − | 6.48996i | 0.368027 | − | 0.250916i | ||||
\(670\) | 0.412765 | − | 0.279607i | 0.0159465 | − | 0.0108022i | ||||
\(671\) | −2.91796 | + | 12.7844i | −0.112647 | + | 0.493537i | ||||
\(672\) | −11.5080 | + | 9.56897i | −0.443932 | + | 0.369131i | ||||
\(673\) | 2.19095 | + | 9.59916i | 0.0844548 | + | 0.370020i | 0.999440 | − | 0.0334673i | \(-0.0106549\pi\) |
−0.914985 | + | 0.403488i | \(0.867798\pi\) | |||||||
\(674\) | −20.3799 | − | 19.0240i | −0.785005 | − | 0.732775i | ||||
\(675\) | −4.40969 | − | 1.36021i | −0.169729 | − | 0.0523545i | ||||
\(676\) | 23.5864 | − | 7.12067i | 0.907171 | − | 0.273872i | ||||
\(677\) | −4.23533 | − | 13.7306i | −0.162777 | − | 0.527709i | 0.837034 | − | 0.547151i | \(-0.184287\pi\) |
−0.999811 | + | 0.0194412i | \(0.993811\pi\) | |||||||
\(678\) | 7.09851 | + | 1.09173i | 0.272616 | + | 0.0419276i | ||||
\(679\) | 26.9245 | − | 36.3342i | 1.03327 | − | 1.39438i | ||||
\(680\) | 12.3913 | + | 0.111587i | 0.475185 | + | 0.00427916i | ||||
\(681\) | −10.8337 | + | 27.6038i | −0.415149 | + | 1.05778i | ||||
\(682\) | −7.24219 | + | 5.73997i | −0.277318 | + | 0.219795i | ||||
\(683\) | −4.27065 | − | 28.3339i | −0.163412 | − | 1.08417i | −0.908707 | − | 0.417433i | \(-0.862930\pi\) |
0.745295 | − | 0.666734i | \(-0.232308\pi\) | |||||||
\(684\) | −2.45123 | − | 3.11188i | −0.0937250 | − | 0.118986i | ||||
\(685\) | − | 9.23154i | − | 0.352719i | ||||||
\(686\) | −23.9131 | − | 10.6846i | −0.913008 | − | 0.407941i | ||||
\(687\) | − | 12.0231i | − | 0.458712i | ||||||
\(688\) | −21.6905 | − | 32.6496i | −0.826943 | − | 1.24475i | ||||
\(689\) | −0.678935 | − | 4.50444i | −0.0258654 | − | 0.171606i | ||||
\(690\) | 2.47055 | + | 3.11712i | 0.0940524 | + | 0.118667i | ||||
\(691\) | −10.2607 | + | 26.1439i | −0.390336 | + | 0.994559i | 0.591749 | + | 0.806122i | \(0.298437\pi\) |
−0.982085 | + | 0.188437i | \(0.939658\pi\) | |||||||
\(692\) | −19.7765 | + | 21.0591i | −0.751791 | + | 0.800546i | ||||
\(693\) | 2.23718 | − | 3.01905i | 0.0849836 | − | 0.114684i | ||||
\(694\) | 7.07445 | − | 45.9986i | 0.268542 | − | 1.74608i | ||||
\(695\) | 0.510718 | + | 1.65571i | 0.0193726 | + | 0.0628045i | ||||
\(696\) | 3.21218 | − | 5.44973i | 0.121757 | − | 0.206572i | ||||
\(697\) | −1.23208 | − | 0.380046i | −0.0466683 | − | 0.0143953i | ||||
\(698\) | −11.0876 | + | 11.8778i | −0.419671 | + | 0.449583i | ||||
\(699\) | −5.09744 | − | 22.3333i | −0.192803 | − | 0.844724i | ||||
\(700\) | 0.719375 | + | 24.4082i | 0.0271898 | + | 0.922542i | ||||
\(701\) | −5.93530 | + | 26.0042i | −0.224173 | + | 0.982167i | 0.730126 | + | 0.683313i | \(0.239461\pi\) |
−0.954299 | + | 0.298854i | \(0.903396\pi\) | |||||||
\(702\) | −0.654556 | − | 0.966276i | −0.0247046 | − | 0.0364698i | ||||
\(703\) | −18.6025 | + | 12.6830i | −0.701606 | + | 0.478347i | ||||
\(704\) | −7.87683 | + | 8.18837i | −0.296869 | + | 0.308611i | ||||
\(705\) | 7.18756 | − | 4.14974i | 0.270699 | − | 0.156288i | ||||
\(706\) | −7.91929 | − | 25.9500i | −0.298046 | − | 0.976641i | ||||
\(707\) | 12.5889 | − | 23.7083i | 0.473452 | − | 0.891641i | ||||
\(708\) | 4.61997 | + | 11.9825i | 0.173629 | + | 0.450331i | ||||
\(709\) | 11.8025 | + | 8.04682i | 0.443253 | + | 0.302205i | 0.764303 | − | 0.644858i | \(-0.223083\pi\) |
−0.321050 | + | 0.947062i | \(0.604036\pi\) | |||||||
\(710\) | 6.29799 | + | 0.0189045i | 0.236359 | + | 0.000709474i | ||||
\(711\) | 3.34945 | − | 3.60985i | 0.125614 | − | 0.135380i | ||||
\(712\) | −1.82081 | + | 0.119973i | −0.0682378 | + | 0.00449618i | ||||
\(713\) | 9.04510 | + | 18.7823i | 0.338742 | + | 0.703404i | ||||
\(714\) | −26.3957 | + | 0.857260i | −0.987834 | + | 0.0320821i | ||||
\(715\) | −0.315663 | + | 0.655480i | −0.0118051 | + | 0.0245136i | ||||
\(716\) | 12.6138 | + | 26.6002i | 0.471400 | + | 0.994095i | ||||
\(717\) | 1.11937 | + | 0.646268i | 0.0418036 | + | 0.0241353i | ||||
\(718\) | −11.8056 | − | 2.73186i | −0.440581 | − | 0.101952i | ||||
\(719\) | −6.13733 | − | 0.925053i | −0.228884 | − | 0.0344987i | 0.0335989 | − | 0.999435i | \(-0.489303\pi\) |
−0.262483 | + | 0.964937i | \(0.584541\pi\) | |||||||
\(720\) | 2.30017 | + | 0.934774i | 0.0857223 | + | 0.0348370i | ||||
\(721\) | 34.4058 | − | 21.5260i | 1.28134 | − | 0.801669i | ||||
\(722\) | 17.5809 | + | 12.0639i | 0.654294 | + | 0.448973i | ||||
\(723\) | −5.92591 | + | 0.444086i | −0.220387 | + | 0.0165157i | ||||
\(724\) | −12.4328 | − | 4.96586i | −0.462062 | − | 0.184555i | ||||
\(725\) | −3.77072 | − | 9.60763i | −0.140041 | − | 0.356819i | ||||
\(726\) | −6.38487 | + | 10.9827i | −0.236965 | + | 0.407605i | ||||
\(727\) | −26.9650 | − | 33.8130i | −1.00008 | − | 1.25405i | −0.967046 | − | 0.254600i | \(-0.918056\pi\) |
−0.0330286 | − | 0.999454i | \(-0.510515\pi\) | |||||||
\(728\) | −3.72141 | + | 4.92858i | −0.137924 | + | 0.182665i | ||||
\(729\) | 0.623490 | − | 0.781831i | 0.0230922 | − | 0.0289567i | ||||
\(730\) | −1.08887 | − | 2.79907i | −0.0403008 | − | 0.103598i | ||||
\(731\) | 5.16888 | − | 68.9739i | 0.191178 | − | 2.55109i | ||||
\(732\) | 18.4224 | − | 1.26940i | 0.680913 | − | 0.0469185i | ||||
\(733\) | 28.5166 | + | 30.7335i | 1.05328 | + | 1.13517i | 0.990552 | + | 0.137139i | \(0.0437907\pi\) |
0.0627314 | + | 0.998030i | \(0.480019\pi\) | |||||||
\(734\) | 12.6747 | − | 11.6898i | 0.467831 | − | 0.431478i | ||||
\(735\) | 0.307955 | + | 4.33408i | 0.0113591 | + | 0.159865i | ||||
\(736\) | 14.1192 | + | 21.3920i | 0.520442 | + | 0.788519i | ||||
\(737\) | −0.591292 | + | 0.548639i | −0.0217805 | + | 0.0202094i | ||||
\(738\) | −0.201494 | − | 0.161678i | −0.00741709 | − | 0.00595144i | ||||
\(739\) | −4.01561 | − | 0.300928i | −0.147717 | − | 0.0110698i | 0.000666522 | − | 1.00000i | \(-0.499788\pi\) |
−0.148383 | + | 0.988930i | \(0.547407\pi\) | |||||||
\(740\) | 6.19897 | − | 12.6771i | 0.227879 | − | 0.466018i | ||||
\(741\) | −1.27797 | − | 1.01915i | −0.0469475 | − | 0.0374394i | ||||
\(742\) | −14.5318 | − | 14.6759i | −0.533479 | − | 0.538770i | ||||
\(743\) | 5.17603 | − | 4.12774i | 0.189890 | − | 0.151432i | −0.523930 | − | 0.851761i | \(-0.675535\pi\) |
0.713820 | + | 0.700329i | \(0.246963\pi\) | |||||||
\(744\) | 10.6856 | + | 7.42717i | 0.391755 | + | 0.272293i | ||||
\(745\) | −4.32223 | + | 1.69635i | −0.158354 | + | 0.0621495i | ||||
\(746\) | −27.3973 | + | 13.0927i | −1.00309 | + | 0.479358i | ||||
\(747\) | 0.182073 | + | 2.42960i | 0.00666172 | + | 0.0888944i | ||||
\(748\) | −19.8426 | + | 2.86907i | −0.725516 | + | 0.104903i | ||||
\(749\) | 8.37309 | − | 23.7814i | 0.305946 | − | 0.868953i | ||||
\(750\) | 7.32191 | − | 4.19805i | 0.267358 | − | 0.153291i | ||||
\(751\) | −0.545381 | + | 3.61836i | −0.0199012 | + | 0.132036i | −0.996575 | − | 0.0826917i | \(-0.973648\pi\) |
0.976674 | + | 0.214728i | \(0.0688864\pi\) | |||||||
\(752\) | 48.4620 | − | 22.6253i | 1.76723 | − | 0.825061i | ||||
\(753\) | −5.64557 | + | 9.77841i | −0.205736 | + | 0.356345i | ||||
\(754\) | 0.776884 | − | 2.49201i | 0.0282924 | − | 0.0907538i | ||||
\(755\) | −9.75027 | − | 4.69548i | −0.354849 | − | 0.170886i | ||||
\(756\) | −4.98053 | − | 1.78725i | −0.181140 | − | 0.0650017i | ||||
\(757\) | −37.6886 | + | 18.1499i | −1.36982 | + | 0.659669i | −0.966802 | − | 0.255525i | \(-0.917752\pi\) |
−0.403014 | + | 0.915194i | \(0.632037\pi\) | |||||||
\(758\) | 2.83901 | + | 19.2270i | 0.103118 | + | 0.698357i | ||||
\(759\) | −4.71732 | − | 4.37703i | −0.171228 | − | 0.158876i | ||||
\(760\) | 3.46516 | + | 0.291079i | 0.125695 | + | 0.0105586i | ||||
\(761\) | 23.6599 | − | 34.7027i | 0.857670 | − | 1.25797i | −0.106934 | − | 0.994266i | \(-0.534103\pi\) |
0.964604 | − | 0.263704i | \(-0.0849443\pi\) | |||||||
\(762\) | −20.5908 | − | 8.15271i | −0.745927 | − | 0.295342i | ||||
\(763\) | 7.86747 | + | 10.7033i | 0.284822 | + | 0.387485i | ||||
\(764\) | −9.56004 | − | 5.59628i | −0.345870 | − | 0.202466i | ||||
\(765\) | 2.19058 | + | 3.79420i | 0.0792008 | + | 0.137180i | ||||
\(766\) | −2.27734 | − | 10.1176i | −0.0822835 | − | 0.365562i | ||||
\(767\) | 2.98513 | + | 4.37838i | 0.107787 | + | 0.158094i | ||||
\(768\) | 14.2447 | + | 7.28627i | 0.514010 | + | 0.262921i | ||||
\(769\) | 22.9129 | + | 5.22973i | 0.826262 | + | 0.188589i | 0.614685 | − | 0.788772i | \(-0.289283\pi\) |
0.211577 | + | 0.977361i | \(0.432140\pi\) | |||||||
\(770\) | 0.597234 | + | 3.24400i | 0.0215228 | + | 0.116906i | ||||
\(771\) | 2.93536 | − | 0.669977i | 0.105714 | − | 0.0241286i | ||||
\(772\) | 33.4433 | + | 0.200773i | 1.20365 | + | 0.00722599i | ||||
\(773\) | −13.9847 | + | 45.3373i | −0.502995 | + | 1.63067i | 0.246849 | + | 0.969054i | \(0.420605\pi\) |
−0.749844 | + | 0.661615i | \(0.769871\pi\) | |||||||
\(774\) | 6.05045 | − | 12.4680i | 0.217479 | − | 0.448154i | ||||
\(775\) | 20.2885 | − | 6.25819i | 0.728786 | − | 0.224801i | ||||
\(776\) | −47.0343 | − | 11.1818i | −1.68843 | − | 0.401404i | ||||
\(777\) | −12.0799 | + | 27.5420i | −0.433363 | + | 0.988064i | ||||
\(778\) | −2.56075 | − | 35.6047i | −0.0918075 | − | 1.27649i | ||||
\(779\) | −0.336807 | − | 0.132187i | −0.0120674 | − | 0.00473609i | ||||
\(780\) | 1.01213 | + | 0.158775i | 0.0362402 | + | 0.00568504i | ||||
\(781\) | −10.0759 | + | 1.51869i | −0.360542 | + | 0.0543430i | ||||
\(782\) | −3.51528 | + | 45.0915i | −0.125706 | + | 1.61247i | ||||
\(783\) | 2.23656 | 0.0799282 | ||||||||
\(784\) | −0.444382 | + | 27.9965i | −0.0158708 | + | 0.999874i | ||||
\(785\) | 3.89828 | 0.139136 | ||||||||
\(786\) | −0.263093 | + | 3.37477i | −0.00938423 | + | 0.120374i | ||||
\(787\) | −21.3091 | + | 3.21182i | −0.759586 | + | 0.114489i | −0.517404 | − | 0.855742i | \(-0.673101\pi\) |
−0.242182 | + | 0.970231i | \(0.577863\pi\) | |||||||
\(788\) | −6.60602 | − | 1.03629i | −0.235330 | − | 0.0369164i | ||||
\(789\) | 13.3439 | + | 5.23709i | 0.475055 | + | 0.186445i | ||||
\(790\) | 0.310100 | + | 4.31163i | 0.0110329 | + | 0.153401i | ||||
\(791\) | 10.2012 | − | 8.74459i | 0.362713 | − | 0.310922i | ||||
\(792\) | −3.90813 | − | 0.929109i | −0.138869 | − | 0.0330144i | ||||
\(793\) | 7.28122 | − | 2.24596i | 0.258564 | − | 0.0797564i | ||||
\(794\) | 10.3508 | − | 21.3295i | 0.367334 | − | 0.756957i | ||||
\(795\) | −1.00990 | + | 3.27401i | −0.0358174 | + | 0.116117i | ||||
\(796\) | 6.68495 | + | 0.0401325i | 0.236942 | + | 0.00142246i | ||||
\(797\) | −40.9806 | + | 9.35355i | −1.45161 | + | 0.331320i | −0.874371 | − | 0.485258i | \(-0.838726\pi\) |
−0.577235 | + | 0.816578i | \(0.695869\pi\) | |||||||
\(798\) | −7.40437 | − | 0.313644i | −0.262112 | − | 0.0111029i | ||||
\(799\) | 92.0088 | + | 21.0004i | 3.25504 | + | 0.742941i | ||||
\(800\) | 23.6869 | − | 10.9722i | 0.837459 | − | 0.387925i | ||||
\(801\) | −0.363426 | − | 0.533048i | −0.0128410 | − | 0.0188343i | ||||
\(802\) | −3.17518 | − | 14.1064i | −0.112119 | − | 0.498115i | ||||
\(803\) | 2.42962 | + | 4.20823i | 0.0857395 | + | 0.148505i | ||||
\(804\) | 0.980278 | + | 0.573838i | 0.0345717 | + | 0.0202377i | ||||
\(805\) | 7.43537 | + | 0.292601i | 0.262062 | + | 0.0103128i | ||||
\(806\) | 4.99263 | + | 1.97678i | 0.175858 | + | 0.0696290i | ||||
\(807\) | −16.1320 | + | 23.6613i | −0.567873 | + | 0.832917i | ||||
\(808\) | −28.5959 | − | 2.40210i | −1.00600 | − | 0.0845057i | ||||
\(809\) | −23.8983 | − | 22.1744i | −0.840221 | − | 0.779611i | 0.137282 | − | 0.990532i | \(-0.456163\pi\) |
−0.977503 | + | 0.210921i | \(0.932354\pi\) | |||||||
\(810\) | 0.128227 | + | 0.868408i | 0.00450543 | + | 0.0305127i | ||||
\(811\) | −38.3027 | + | 18.4456i | −1.34499 | + | 0.647712i | −0.961237 | − | 0.275724i | \(-0.911082\pi\) |
−0.383752 | + | 0.923436i | \(0.625368\pi\) | |||||||
\(812\) | −3.82001 | − | 11.2013i | −0.134056 | − | 0.393089i | ||||
\(813\) | 15.6252 | + | 7.52468i | 0.547998 | + | 0.263902i | ||||
\(814\) | −6.79508 | + | 21.7966i | −0.238167 | + | 0.763971i | ||||
\(815\) | 1.00630 | − | 1.74296i | 0.0352491 | − | 0.0610532i | ||||
\(816\) | 11.9436 | + | 25.5824i | 0.418109 | + | 0.895561i | ||||
\(817\) | 2.89285 | − | 19.1928i | 0.101208 | − | 0.671471i | ||||
\(818\) | 37.9899 | − | 21.7817i | 1.32829 | − | 0.761579i | ||||
\(819\) | −2.16925 | − | 0.248662i | −0.0757997 | − | 0.00868894i | ||||
\(820\) | 0.224443 | − | 0.0324525i | 0.00783788 | − | 0.00113329i | ||||
\(821\) | −3.98359 | − | 53.1574i | −0.139028 | − | 1.85521i | −0.435532 | − | 0.900173i | \(-0.643440\pi\) |
0.296503 | − | 0.955032i | \(-0.404179\pi\) | |||||||
\(822\) | 18.9772 | − | 9.06887i | 0.661906 | − | 0.316313i | ||||
\(823\) | 11.0750 | − | 4.34663i | 0.386052 | − | 0.151514i | −0.164374 | − | 0.986398i | \(-0.552561\pi\) |
0.550426 | + | 0.834884i | \(0.314465\pi\) | |||||||
\(824\) | −35.6265 | − | 24.7626i | −1.24111 | − | 0.862645i | ||||
\(825\) | −5.12414 | + | 4.08636i | −0.178400 | + | 0.142269i | ||||
\(826\) | 22.6381 | + | 8.04700i | 0.787680 | + | 0.279991i | ||||
\(827\) | −41.5447 | − | 33.1308i | −1.44465 | − | 1.15207i | −0.960911 | − | 0.276858i | \(-0.910707\pi\) |
−0.483739 | − | 0.875212i | \(-0.660722\pi\) | |||||||
\(828\) | −3.98083 | + | 8.14089i | −0.138343 | + | 0.282916i | ||||
\(829\) | 36.8450 | + | 2.76115i | 1.27968 | + | 0.0958986i | 0.697158 | − | 0.716918i | \(-0.254448\pi\) |
0.582520 | + | 0.812816i | \(0.302067\pi\) | |||||||
\(830\) | −1.66812 | − | 1.33850i | −0.0579014 | − | 0.0464599i | ||||
\(831\) | 3.16141 | − | 2.93336i | 0.109668 | − | 0.101757i | ||||
\(832\) | 6.40911 | + | 1.58479i | 0.222196 | + | 0.0549428i | ||||
\(833\) | −30.9544 | + | 38.5093i | −1.07250 | + | 1.33427i | ||||
\(834\) | −2.90190 | + | 2.67641i | −0.100485 | + | 0.0926764i | ||||
\(835\) | 7.32410 | + | 7.89350i | 0.253461 | + | 0.273166i | ||||
\(836\) | −5.61278 | + | 0.386750i | −0.194122 | + | 0.0133760i | ||||
\(837\) | −0.343825 | + | 4.58803i | −0.0118843 | + | 0.158586i | ||||
\(838\) | 8.65879 | + | 22.2585i | 0.299113 | + | 0.768906i | ||||
\(839\) | −13.6338 | + | 17.0962i | −0.470691 | + | 0.590228i | −0.959340 | − | 0.282253i | \(-0.908918\pi\) |
0.488649 | + | 0.872480i | \(0.337490\pi\) | |||||||
\(840\) | 4.13021 | − | 2.12542i | 0.142506 | − | 0.0733339i | ||||
\(841\) | −14.9624 | − | 18.7622i | −0.515944 | − | 0.646973i | ||||
\(842\) | −24.4479 | + | 42.0530i | −0.842532 | + | 1.44924i | ||||
\(843\) | 11.5750 | + | 29.4926i | 0.398664 | + | 1.01578i | ||||
\(844\) | 42.8964 | + | 17.1335i | 1.47655 | + | 0.589758i | ||||
\(845\) | −7.62516 | + | 0.571427i | −0.262314 | + | 0.0196577i | ||||
\(846\) | 15.5915 | + | 10.6988i | 0.536047 | + | 0.367832i | ||||
\(847\) | 7.80623 | + | 22.4480i | 0.268225 | + | 0.771321i | ||||
\(848\) | −8.31264 | + | 20.4546i | −0.285457 | + | 0.702416i | ||||
\(849\) | −20.8615 | − | 3.14437i | −0.715966 | − | 0.107914i | ||||
\(850\) | 44.8777 | + | 10.3849i | 1.53929 | + | 0.356198i | ||||
\(851\) | 44.6046 | + | 25.7525i | 1.52903 | + | 0.882784i | ||||
\(852\) | 6.14815 | + | 12.9653i | 0.210632 | + | 0.444184i | ||||
\(853\) | 3.49359 | − | 7.25450i | 0.119618 | − | 0.248389i | −0.832559 | − | 0.553937i | \(-0.813125\pi\) |
0.952177 | + | 0.305547i | \(0.0988393\pi\) | |||||||
\(854\) | 20.6516 | − | 27.6948i | 0.706682 | − | 0.947698i | ||||
\(855\) | 0.533432 | + | 1.10768i | 0.0182430 | + | 0.0378820i | ||||
\(856\) | −26.8948 | + | 1.77210i | −0.919247 | + | 0.0605691i | ||||
\(857\) | 19.5902 | − | 21.1133i | 0.669190 | − | 0.721215i | −0.303627 | − | 0.952791i | \(-0.598198\pi\) |
0.972817 | + | 0.231576i | \(0.0743882\pi\) | |||||||
\(858\) | −1.65757 | − | 0.00497547i | −0.0565884 | − | 0.000169860i | ||||
\(859\) | 22.8142 | + | 15.5545i | 0.778411 | + | 0.530712i | 0.886112 | − | 0.463472i | \(-0.153396\pi\) |
−0.107701 | + | 0.994183i | \(0.534349\pi\) | |||||||
\(860\) | 4.37644 | + | 11.3509i | 0.149235 | + | 0.387062i | ||||
\(861\) | −0.475057 | + | 0.0889351i | −0.0161899 | + | 0.00303090i | ||||
\(862\) | 9.18393 | + | 30.0940i | 0.312806 | + | 1.02501i | ||||
\(863\) | −28.0837 | + | 16.2141i | −0.955979 | + | 0.551935i | −0.894933 | − | 0.446200i | \(-0.852777\pi\) |
−0.0610460 | + | 0.998135i | \(0.519444\pi\) | |||||||
\(864\) | 0.338030 | + | 5.64675i | 0.0115000 | + | 0.192106i | ||||
\(865\) | 7.40808 | − | 5.05075i | 0.251882 | − | 0.171731i | ||||
\(866\) | 19.8965 | + | 29.3719i | 0.676111 | + | 0.998096i | ||||
\(867\) | −7.30294 | + | 31.9963i | −0.248021 | + | 1.08665i | ||||
\(868\) | 23.5654 | − | 6.11430i | 0.799860 | − | 0.207533i | ||||
\(869\) | −1.55628 | − | 6.81852i | −0.0527933 | − | 0.231302i | ||||
\(870\) | −1.33970 | + | 1.43519i | −0.0454201 | + | 0.0486575i | ||||
\(871\) | 0.447881 | + | 0.138153i | 0.0151759 | + | 0.00468114i | ||||
\(872\) | 7.21090 | − | 12.2339i | 0.244192 | − | 0.414292i | ||||
\(873\) | −5.03814 | − | 16.3332i | −0.170515 | − | 0.552797i | ||||
\(874\) | −1.92929 | + | 12.5444i | −0.0652592 | + | 0.424320i | ||||
\(875\) | 2.96549 | − | 15.5089i | 0.100252 | − | 0.524295i | ||||
\(876\) | 4.68434 | − | 4.98812i | 0.158269 | − | 0.168533i | ||||
\(877\) | −16.0880 | + | 40.9915i | −0.543252 | + | 1.38418i | 0.350896 | + | 0.936414i | \(0.385877\pi\) |
−0.894149 | + | 0.447770i | \(0.852218\pi\) | |||||||
\(878\) | 13.2713 | + | 16.7445i | 0.447883 | + | 0.565099i | ||||
\(879\) | 1.70168 | + | 11.2899i | 0.0573961 | + | 0.380798i | ||||
\(880\) | 2.93718 | − | 1.95129i | 0.0990122 | − | 0.0657780i | ||||
\(881\) | − | 16.2689i | − | 0.548113i | −0.961714 | − | 0.274056i | \(-0.911634\pi\) | ||
0.961714 | − | 0.274056i | \(-0.0883655\pi\) | |||||||
\(882\) | −8.60700 | + | 4.89076i | −0.289813 | + | 0.164681i | ||||
\(883\) | 27.8919i | 0.938637i | 0.883029 | + | 0.469319i | \(0.155500\pi\) | ||||
−0.883029 | + | 0.469319i | \(0.844500\pi\) | |||||||
\(884\) | 7.20879 | + | 9.15171i | 0.242458 | + | 0.307805i | ||||
\(885\) | −0.594039 | − | 3.94119i | −0.0199684 | − | 0.132482i | ||||
\(886\) | 2.83664 | − | 2.24825i | 0.0952989 | − | 0.0755314i | ||||
\(887\) | 8.97795 | − | 22.8755i | 0.301450 | − | 0.768083i | −0.697236 | − | 0.716842i | \(-0.745587\pi\) |
0.998686 | − | 0.0512411i | \(-0.0163177\pi\) | |||||||
\(888\) | 32.1499 | + | 0.289517i | 1.07888 | + | 0.00971556i | ||||
\(889\) | −36.6676 | + | 19.2888i | −1.22979 | + | 0.646927i | ||||
\(890\) | 0.559746 | + | 0.0860873i | 0.0187627 | + | 0.00288565i | ||||
\(891\) | −0.418624 | − | 1.35715i | −0.0140244 | − | 0.0454661i | ||||
\(892\) | −22.0585 | + | 6.65939i | −0.738574 | + | 0.222973i | ||||
\(893\) | 25.3067 | + | 7.80610i | 0.846858 | + | 0.261221i | ||||
\(894\) | −7.73325 | − | 7.21872i | −0.258638 | − | 0.241430i | ||||
\(895\) | −2.03311 | − | 8.90765i | −0.0679595 | − | 0.297750i | ||||
\(896\) | 27.7031 | − | 11.3375i | 0.925495 | − | 0.378759i | ||||
\(897\) | −0.832077 | + | 3.64557i | −0.0277822 | + | 0.121722i | ||||
\(898\) | −14.8261 | + | 10.0432i | −0.494755 | + | 0.335147i | ||||
\(899\) | −8.50215 | + | 5.79667i | −0.283563 | + | 0.193330i | ||||
\(900\) | 7.59436 | + | 5.24481i | 0.253145 | + | 0.174827i | ||||
\(901\) | −33.7406 | + | 19.4801i | −1.12406 | + | 0.648977i | ||||
\(902\) | −0.350928 | + | 0.107094i | −0.0116846 | + | 0.00356585i | ||||
\(903\) | −10.3220 | − | 23.7837i | −0.343496 | − | 0.791471i | ||||
\(904\) | −12.8848 | − | 6.34856i | −0.428542 | − | 0.211150i | ||||
\(905\) | 3.43304 | + | 2.34060i | 0.114118 | + | 0.0778043i | ||||
\(906\) | 0.0740102 | − | 24.6563i | 0.00245882 | − | 0.819151i | ||||
\(907\) | 11.5937 | − | 12.4951i | 0.384964 | − | 0.414892i | −0.510605 | − | 0.859815i | \(-0.670579\pi\) |
0.895569 | + | 0.444923i | \(0.146769\pi\) | |||||||
\(908\) | 37.2552 | − | 46.1456i | 1.23636 | − | 1.53139i | ||||
\(909\) | −4.40210 | − | 9.14105i | −0.146008 | − | 0.303189i | ||||
\(910\) | 1.45894 | − | 1.24305i | 0.0483636 | − | 0.0412066i | ||||
\(911\) | −2.28826 | + | 4.75163i | −0.0758136 | + | 0.157429i | −0.935431 | − | 0.353510i | \(-0.884988\pi\) |
0.859617 | + | 0.510939i | \(0.170702\pi\) | |||||||
\(912\) | 2.80573 | + | 7.40926i | 0.0929071 | + | 0.245345i | ||||
\(913\) | 2.99671 | + | 1.73015i | 0.0991765 | + | 0.0572596i | ||||
\(914\) | −0.698445 | + | 3.01830i | −0.0231025 | + | 0.0998363i | ||||
\(915\) | −5.66709 | − | 0.854176i | −0.187348 | − | 0.0282382i | ||||
\(916\) | −7.22559 | + | 22.9350i | −0.238740 | + | 0.757794i | ||||
\(917\) | 4.46929 | + | 4.48659i | 0.147589 | + | 0.148160i | ||||
\(918\) | −5.64773 | + | 8.23051i | −0.186403 | + | 0.271647i | ||||
\(919\) | −2.36545 | + | 0.177266i | −0.0780291 | + | 0.00584747i | −0.113687 | − | 0.993517i | \(-0.536266\pi\) |
0.0356583 | + | 0.999364i | \(0.488647\pi\) | |||||||
\(920\) | −2.83945 | − | 7.43088i | −0.0936139 | − | 0.244989i | ||||
\(921\) | −2.65139 | − | 6.75564i | −0.0873664 | − | 0.222606i | ||||
\(922\) | 39.0001 | + | 22.6731i | 1.28440 | + | 0.746698i | ||||
\(923\) | 3.69166 | + | 4.62919i | 0.121512 | + | 0.152372i | ||||
\(924\) | −6.08196 | + | 4.41457i | −0.200082 | + | 0.145229i | ||||
\(925\) | 32.7059 | − | 41.0119i | 1.07536 | − | 1.34846i | ||||
\(926\) | −16.1454 | + | 6.28074i | −0.530571 | + | 0.206398i | ||||
\(927\) | 1.14633 | − | 15.2967i | 0.0376505 | − | 0.502410i | ||||
\(928\) | −9.40261 | + | 8.46532i | −0.308656 | + | 0.277888i | ||||
\(929\) | 34.7979 | + | 37.5032i | 1.14168 | + | 1.23044i | 0.969425 | + | 0.245389i | \(0.0789157\pi\) |
0.172258 | + | 0.985052i | \(0.444894\pi\) | |||||||
\(930\) | −2.73816 | − | 2.96886i | −0.0897879 | − | 0.0973528i | ||||
\(931\) | −9.46963 | + | 10.1271i | −0.310354 | + | 0.331901i | ||||
\(932\) | −3.69800 | + | 45.6658i | −0.121132 | + | 1.49583i | ||||
\(933\) | 14.9115 | − | 13.8358i | 0.488179 | − | 0.452964i | ||||
\(934\) | 3.91032 | − | 4.87331i | 0.127950 | − | 0.159460i | ||||
\(935\) | 6.20493 | + | 0.464995i | 0.202923 | + | 0.0152070i | ||||
\(936\) | 0.667907 | + | 2.23661i | 0.0218312 | + | 0.0731060i | ||||
\(937\) | 43.9278 | + | 35.0312i | 1.43506 | + | 1.14442i | 0.965148 | + | 0.261706i | \(0.0842850\pi\) |
0.469910 | + | 0.882714i | \(0.344286\pi\) | |||||||
\(938\) | 2.00923 | − | 0.691953i | 0.0656038 | − | 0.0225931i | ||||
\(939\) | −8.86045 | + | 7.06597i | −0.289150 | + | 0.230589i | ||||
\(940\) | −16.2047 | + | 3.59640i | −0.528538 | + | 0.117302i | ||||
\(941\) | 9.58793 | − | 3.76298i | 0.312558 | − | 0.122670i | −0.203877 | − | 0.978997i | \(-0.565354\pi\) |
0.516434 | + | 0.856327i | \(0.327259\pi\) | |||||||
\(942\) | 3.82959 | + | 8.01367i | 0.124775 | + | 0.261099i | ||||
\(943\) | 0.0618543 | + | 0.825388i | 0.00201425 | + | 0.0268783i | ||||
\(944\) | −1.61176 | − | 25.6340i | −0.0524583 | − | 0.834316i | ||||
\(945\) | 1.38885 | + | 0.876419i | 0.0451792 | + | 0.0285099i | ||||
\(946\) | −9.79005 | − | 17.0750i | −0.318302 | − | 0.555157i | ||||
\(947\) | −6.87602 | + | 45.6194i | −0.223441 | + | 1.48243i | 0.542791 | + | 0.839868i | \(0.317367\pi\) |
−0.766232 | + | 0.642564i | \(0.777871\pi\) | |||||||
\(948\) | −8.55875 | + | 4.87312i | −0.277975 | + | 0.158272i | ||||
\(949\) | 1.41179 | − | 2.44530i | 0.0458287 | − | 0.0793777i | ||||
\(950\) | 12.3405 | + | 3.84715i | 0.400379 | + | 0.124818i | ||||
\(951\) | −11.9941 | − | 5.77607i | −0.388936 | − | 0.187302i | ||||
\(952\) | 50.8669 | + | 14.2278i | 1.64861 | + | 0.461126i | ||||
\(953\) | −31.0713 | + | 14.9632i | −1.00650 | + | 0.484705i | −0.863139 | − | 0.504966i | \(-0.831505\pi\) |
−0.143360 | + | 0.989671i | \(0.545791\pi\) | |||||||
\(954\) | −7.72246 | + | 1.14028i | −0.250024 | + | 0.0369178i | ||||
\(955\) | 2.52024 | + | 2.33844i | 0.0815530 | + | 0.0756701i | ||||
\(956\) | −1.74689 | − | 1.90551i | −0.0564984 | − | 0.0616287i | ||||
\(957\) | 1.78937 | − | 2.62452i | 0.0578420 | − | 0.0848386i | ||||
\(958\) | −13.3337 | + | 33.6760i | −0.430791 | + | 1.08802i | ||||
\(959\) | 10.2576 | − | 37.9883i | 0.331237 | − | 1.22670i | ||||
\(960\) | −3.82597 | − | 3.16549i | −0.123483 | − | 0.102166i | ||||
\(961\) | 4.91588 | + | 8.51456i | 0.158577 | + | 0.274663i | ||||
\(962\) | 12.9428 | − | 2.91327i | 0.417294 | − | 0.0939277i | ||||
\(963\) | −5.36809 | − | 7.87354i | −0.172984 | − | 0.253721i | ||||
\(964\) | 11.5710 | + | 2.71419i | 0.372677 | + | 0.0874181i | ||||
\(965\) | −10.1193 | − | 2.30967i | −0.325752 | − | 0.0743508i | ||||
\(966\) | 6.70285 | + | 15.5723i | 0.215661 | + | 0.501030i | ||||
\(967\) | −47.2785 | + | 10.7910i | −1.52037 | + | 0.347016i | −0.899509 | − | 0.436902i | \(-0.856076\pi\) |
−0.620865 | + | 0.783917i | \(0.713219\pi\) | |||||||
\(968\) | 18.7799 | − | 17.1131i | 0.603608 | − | 0.550035i | ||||
\(969\) | −4.12072 | + | 13.3590i | −0.132377 | + | 0.429154i | ||||
\(970\) | 13.4988 | + | 6.55067i | 0.433421 | + | 0.210329i | ||||
\(971\) | −31.9478 | + | 9.85458i | −1.02525 | + | 0.316248i | −0.761378 | − | 0.648309i | \(-0.775477\pi\) |
−0.263874 | + | 0.964557i | \(0.585000\pi\) | |||||||
\(972\) | −1.65921 | + | 1.11670i | −0.0532192 | + | 0.0358182i | ||||
\(973\) | 0.261888 | + | 7.38080i | 0.00839575 | + | 0.236617i | ||||
\(974\) | −27.6919 | + | 1.99165i | −0.887307 | + | 0.0638167i | ||||
\(975\) | 3.54512 | + | 1.39136i | 0.113535 | + | 0.0445590i | ||||
\(976\) | −35.9050 | − | 8.64991i | −1.14929 | − | 0.276877i | ||||
\(977\) | 15.8494 | − | 2.38892i | 0.507068 | − | 0.0764282i | 0.109474 | − | 0.993990i | \(-0.465083\pi\) |
0.397594 | + | 0.917561i | \(0.369845\pi\) | |||||||
\(978\) | 4.57155 | + | 0.356393i | 0.146182 | + | 0.0113962i | ||||
\(979\) | −0.916269 | −0.0292841 | ||||||||
\(980\) | 2.01722 | − | 8.45264i | 0.0644376 | − | 0.270010i | ||||
\(981\) | 5.02077 | 0.160301 | ||||||||
\(982\) | 13.9438 | + | 1.08704i | 0.444965 | + | 0.0346890i | ||||
\(983\) | −13.2842 | + | 2.00227i | −0.423699 | + | 0.0638624i | −0.357431 | − | 0.933939i | \(-0.616347\pi\) |
−0.0662681 | + | 0.997802i | \(0.521109\pi\) | |||||||
\(984\) | 0.287200 | + | 0.429505i | 0.00915561 | + | 0.0136921i | ||||
\(985\) | 1.93184 | + | 0.758192i | 0.0615536 | + | 0.0241580i | ||||
\(986\) | −22.2676 | + | 1.60153i | −0.709145 | + | 0.0510030i | ||||
\(987\) | 34.1882 | − | 9.08992i | 1.08822 | − | 0.289335i | ||||
\(988\) | 1.82534 | + | 2.71213i | 0.0580720 | + | 0.0862843i | ||||
\(989\) | −42.4291 | + | 13.0877i | −1.34917 | + | 0.416163i | ||||
\(990\) | 1.12163 | + | 0.544302i | 0.0356477 | + | 0.0172991i | ||||
\(991\) | −14.6780 | + | 47.5848i | −0.466261 | + | 1.51158i | 0.351592 | + | 0.936153i | \(0.385640\pi\) |
−0.817853 | + | 0.575427i | \(0.804836\pi\) | |||||||
\(992\) | −15.9201 | − | 20.5897i | −0.505464 | − | 0.653722i | ||||
\(993\) | −14.4121 | + | 3.28946i | −0.457353 | + | 0.104388i | ||||
\(994\) | 25.8955 | + | 7.07581i | 0.821357 | + | 0.224431i | ||||
\(995\) | −2.02274 | − | 0.461678i | −0.0641253 | − | 0.0146362i | ||||
\(996\) | 1.11281 | − | 4.74406i | 0.0352606 | − | 0.150321i | ||||
\(997\) | −20.8761 | − | 30.6196i | −0.661152 | − | 0.969732i | −0.999587 | − | 0.0287424i | \(-0.990850\pi\) |
0.338435 | − | 0.940990i | \(-0.390103\pi\) | |||||||
\(998\) | 36.4208 | − | 8.19788i | 1.15288 | − | 0.259499i | ||||
\(999\) | 5.68358 | + | 9.84424i | 0.179820 | + | 0.311458i |
(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 | 588.2.ba.a.283.14 | yes | 336 | |
4.3 | odd | 2 | 588.2.ba.b.283.1 | yes | 336 | ||
49.40 | odd | 42 | 588.2.ba.b.187.1 | yes | 336 | ||
196.187 | even | 42 | inner | 588.2.ba.a.187.14 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.ba.a.187.14 | ✓ | 336 | 196.187 | even | 42 | inner | |
588.2.ba.a.283.14 | yes | 336 | 1.1 | even | 1 | trivial | |
588.2.ba.b.187.1 | yes | 336 | 49.40 | odd | 42 | ||
588.2.ba.b.283.1 | yes | 336 | 4.3 | odd | 2 |