Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 97.6 | ||
Character | \(\chi\) | \(=\) | 966.97 |
Dual form | 966.2.s.b.727.6 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.959493 | + | 0.281733i | 0.678464 | + | 0.199215i | ||||
\(3\) | −0.755750 | − | 0.654861i | −0.436332 | − | 0.378084i | ||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | 0.258147 | − | 1.79545i | 0.115447 | − | 0.802950i | −0.847022 | − | 0.531558i | \(-0.821607\pi\) |
0.962469 | − | 0.271392i | \(-0.0874841\pi\) | |||||||
\(6\) | −0.540641 | − | 0.841254i | −0.220716 | − | 0.343440i | ||||
\(7\) | −1.04979 | + | 2.42857i | −0.396784 | + | 0.917912i | ||||
\(8\) | 0.654861 | + | 0.755750i | 0.231528 | + | 0.267198i | ||||
\(9\) | 0.142315 | + | 0.989821i | 0.0474383 | + | 0.329940i | ||||
\(10\) | 0.753527 | − | 1.64999i | 0.238286 | − | 0.521774i | ||||
\(11\) | 1.01802 | + | 3.46705i | 0.306944 | + | 1.04535i | 0.958106 | + | 0.286415i | \(0.0924637\pi\) |
−0.651162 | + | 0.758939i | \(0.725718\pi\) | |||||||
\(12\) | −0.281733 | − | 0.959493i | −0.0813292 | − | 0.276982i | ||||
\(13\) | 0.727136 | + | 0.332072i | 0.201671 | + | 0.0921002i | 0.513690 | − | 0.857976i | \(-0.328278\pi\) |
−0.312019 | + | 0.950076i | \(0.601005\pi\) | |||||||
\(14\) | −1.69148 | + | 2.03443i | −0.452066 | + | 0.543725i | ||||
\(15\) | −1.37086 | + | 1.18786i | −0.353956 | + | 0.306704i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | 4.28502 | − | 2.75382i | 1.03927 | − | 0.667899i | 0.0944643 | − | 0.995528i | \(-0.469886\pi\) |
0.944806 | + | 0.327630i | \(0.106250\pi\) | |||||||
\(18\) | −0.142315 | + | 0.989821i | −0.0335439 | + | 0.233303i | ||||
\(19\) | 1.03115 | + | 0.662678i | 0.236561 | + | 0.152029i | 0.653551 | − | 0.756883i | \(-0.273279\pi\) |
−0.416990 | + | 0.908911i | \(0.636915\pi\) | |||||||
\(20\) | 1.18786 | − | 1.37086i | 0.265614 | − | 0.306535i | ||||
\(21\) | 2.38375 | − | 1.14792i | 0.520178 | − | 0.250497i | ||||
\(22\) | 3.61342i | 0.770383i | ||||||||
\(23\) | 2.55957 | + | 4.05569i | 0.533707 | + | 0.845669i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 1.64046 | + | 0.481683i | 0.328092 | + | 0.0963365i | ||||
\(26\) | 0.604126 | + | 0.523479i | 0.118479 | + | 0.102663i | ||||
\(27\) | 0.540641 | − | 0.841254i | 0.104046 | − | 0.161899i | ||||
\(28\) | −2.19612 | + | 1.47548i | −0.415028 | + | 0.278839i | ||||
\(29\) | −0.203731 | + | 0.130930i | −0.0378319 | + | 0.0243131i | −0.559420 | − | 0.828884i | \(-0.688976\pi\) |
0.521588 | + | 0.853197i | \(0.325340\pi\) | |||||||
\(30\) | −1.64999 | + | 0.753527i | −0.301246 | + | 0.137575i | ||||
\(31\) | −1.02003 | + | 0.883862i | −0.183203 | + | 0.158746i | −0.741634 | − | 0.670805i | \(-0.765949\pi\) |
0.558431 | + | 0.829551i | \(0.311403\pi\) | |||||||
\(32\) | 0.142315 | + | 0.989821i | 0.0251579 | + | 0.174977i | ||||
\(33\) | 1.50107 | − | 3.28688i | 0.261302 | − | 0.572172i | ||||
\(34\) | 4.88729 | − | 1.43504i | 0.838163 | − | 0.246107i | ||||
\(35\) | 4.08937 | + | 2.51178i | 0.691230 | + | 0.424568i | ||||
\(36\) | −0.415415 | + | 0.909632i | −0.0692358 | + | 0.151605i | ||||
\(37\) | 4.10812 | − | 0.590659i | 0.675371 | − | 0.0971037i | 0.203909 | − | 0.978990i | \(-0.434635\pi\) |
0.471462 | + | 0.881886i | \(0.343726\pi\) | |||||||
\(38\) | 0.802680 | + | 0.926342i | 0.130212 | + | 0.150273i | ||||
\(39\) | −0.332072 | − | 0.727136i | −0.0531741 | − | 0.116435i | ||||
\(40\) | 1.52596 | − | 0.980676i | 0.241276 | − | 0.155058i | ||||
\(41\) | 3.76604 | + | 0.541475i | 0.588157 | + | 0.0845642i | 0.429967 | − | 0.902845i | \(-0.358525\pi\) |
0.158190 | + | 0.987409i | \(0.449434\pi\) | |||||||
\(42\) | 2.61060 | − | 0.429840i | 0.402824 | − | 0.0663258i | ||||
\(43\) | −4.06235 | − | 3.52004i | −0.619502 | − | 0.536801i | 0.287580 | − | 0.957757i | \(-0.407149\pi\) |
−0.907081 | + | 0.420955i | \(0.861695\pi\) | |||||||
\(44\) | −1.01802 | + | 3.46705i | −0.153472 | + | 0.522677i | ||||
\(45\) | 1.81391 | 0.270402 | ||||||||
\(46\) | 1.31327 | + | 4.61252i | 0.193631 | + | 0.680079i | ||||
\(47\) | − | 4.45073i | − | 0.649205i | −0.945850 | − | 0.324603i | \(-0.894769\pi\) | ||
0.945850 | − | 0.324603i | \(-0.105231\pi\) | |||||||
\(48\) | 0.281733 | − | 0.959493i | 0.0406646 | − | 0.138491i | ||||
\(49\) | −4.79587 | − | 5.09898i | −0.685124 | − | 0.728426i | ||||
\(50\) | 1.43830 | + | 0.924342i | 0.203407 | + | 0.130722i | ||||
\(51\) | −5.04177 | − | 0.724897i | −0.705989 | − | 0.101506i | ||||
\(52\) | 0.432174 | + | 0.672476i | 0.0599318 | + | 0.0932556i | ||||
\(53\) | 6.66155 | − | 3.04223i | 0.915034 | − | 0.417882i | 0.0984720 | − | 0.995140i | \(-0.468604\pi\) |
0.816562 | + | 0.577258i | \(0.195877\pi\) | |||||||
\(54\) | 0.755750 | − | 0.654861i | 0.102844 | − | 0.0891153i | ||||
\(55\) | 6.48771 | − | 0.932792i | 0.874803 | − | 0.125778i | ||||
\(56\) | −2.52286 | + | 0.796992i | −0.337131 | + | 0.106503i | ||||
\(57\) | −0.345327 | − | 1.17608i | −0.0457397 | − | 0.155775i | ||||
\(58\) | −0.232366 | + | 0.0682287i | −0.0305111 | + | 0.00895887i | ||||
\(59\) | −0.508875 | − | 0.232395i | −0.0662499 | − | 0.0302553i | 0.382015 | − | 0.924156i | \(-0.375230\pi\) |
−0.448264 | + | 0.893901i | \(0.647958\pi\) | |||||||
\(60\) | −1.79545 | + | 0.258147i | −0.231792 | + | 0.0333266i | ||||
\(61\) | 0.744132 | + | 0.858775i | 0.0952764 | + | 0.109955i | 0.801385 | − | 0.598148i | \(-0.204097\pi\) |
−0.706109 | + | 0.708103i | \(0.749551\pi\) | |||||||
\(62\) | −1.22773 | + | 0.560684i | −0.155921 | + | 0.0712069i | ||||
\(63\) | −2.55325 | − | 0.693486i | −0.321679 | − | 0.0873711i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | 0.783927 | − | 1.21981i | 0.0972341 | − | 0.151299i | ||||
\(66\) | 2.36628 | − | 2.73084i | 0.291270 | − | 0.336143i | ||||
\(67\) | −1.00831 | + | 3.43400i | −0.123185 | + | 0.419529i | −0.997875 | − | 0.0651528i | \(-0.979247\pi\) |
0.874690 | + | 0.484682i | \(0.161065\pi\) | |||||||
\(68\) | 5.09362 | 0.617692 | ||||||||
\(69\) | 0.721517 | − | 4.74125i | 0.0868605 | − | 0.570779i | ||||
\(70\) | 3.21607 | + | 3.56214i | 0.384394 | + | 0.425758i | ||||
\(71\) | 14.0971 | + | 4.13929i | 1.67302 | + | 0.491243i | 0.974508 | − | 0.224353i | \(-0.0720269\pi\) |
0.698514 | + | 0.715597i | \(0.253845\pi\) | |||||||
\(72\) | −0.654861 | + | 0.755750i | −0.0771761 | + | 0.0890659i | ||||
\(73\) | −2.92176 | + | 4.54634i | −0.341966 | + | 0.532109i | −0.969057 | − | 0.246837i | \(-0.920609\pi\) |
0.627091 | + | 0.778946i | \(0.284245\pi\) | |||||||
\(74\) | 4.10812 | + | 0.590659i | 0.477559 | + | 0.0686627i | ||||
\(75\) | −0.924342 | − | 1.43830i | −0.106734 | − | 0.166081i | ||||
\(76\) | 0.509185 | + | 1.11496i | 0.0584075 | + | 0.127895i | ||||
\(77\) | −9.48866 | − | 1.16736i | −1.08133 | − | 0.133033i | ||||
\(78\) | −0.113763 | − | 0.791237i | −0.0128811 | − | 0.0895900i | ||||
\(79\) | −6.40884 | − | 2.92682i | −0.721051 | − | 0.329293i | 0.0208684 | − | 0.999782i | \(-0.493357\pi\) |
−0.741919 | + | 0.670489i | \(0.766084\pi\) | |||||||
\(80\) | 1.74044 | − | 0.511039i | 0.194587 | − | 0.0571359i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 3.46094 | + | 1.58056i | 0.382197 | + | 0.174543i | ||||
\(83\) | 1.57841 | + | 10.9781i | 0.173253 | + | 1.20500i | 0.871953 | + | 0.489589i | \(0.162853\pi\) |
−0.698700 | + | 0.715415i | \(0.746238\pi\) | |||||||
\(84\) | 2.62595 | + | 0.323063i | 0.286515 | + | 0.0352490i | ||||
\(85\) | −3.83818 | − | 8.40444i | −0.416309 | − | 0.911589i | ||||
\(86\) | −2.90608 | − | 4.52195i | −0.313371 | − | 0.487614i | ||||
\(87\) | 0.239710 | + | 0.0344652i | 0.0256997 | + | 0.00369505i | ||||
\(88\) | −1.95356 | + | 3.03980i | −0.208250 | + | 0.324044i | ||||
\(89\) | −10.1575 | + | 11.7224i | −1.07669 | + | 1.24257i | −0.108043 | + | 0.994146i | \(0.534458\pi\) |
−0.968651 | + | 0.248425i | \(0.920087\pi\) | |||||||
\(90\) | 1.74044 | + | 0.511039i | 0.183458 | + | 0.0538682i | ||||
\(91\) | −1.56980 | + | 1.41729i | −0.164560 | + | 0.148573i | ||||
\(92\) | −0.0394236 | + | 4.79567i | −0.00411019 | + | 0.499983i | ||||
\(93\) | 1.34969 | 0.139957 | ||||||||
\(94\) | 1.25391 | − | 4.27044i | 0.129331 | − | 0.440462i | ||||
\(95\) | 1.45599 | − | 1.68031i | 0.149382 | − | 0.172396i | ||||
\(96\) | 0.540641 | − | 0.841254i | 0.0551789 | − | 0.0858601i | ||||
\(97\) | 1.01525 | − | 7.06122i | 0.103083 | − | 0.716958i | −0.871085 | − | 0.491133i | \(-0.836583\pi\) |
0.974168 | − | 0.225825i | \(-0.0725079\pi\) | |||||||
\(98\) | −3.16505 | − | 6.24359i | −0.319719 | − | 0.630698i | ||||
\(99\) | −3.28688 | + | 1.50107i | −0.330344 | + | 0.150863i | ||||
\(100\) | 1.11963 | + | 1.29212i | 0.111963 | + | 0.129212i | ||||
\(101\) | −18.4208 | + | 2.64851i | −1.83294 | + | 0.263537i | −0.970234 | − | 0.242168i | \(-0.922141\pi\) |
−0.862706 | + | 0.505705i | \(0.831232\pi\) | |||||||
\(102\) | −4.63332 | − | 2.11596i | −0.458767 | − | 0.209512i | ||||
\(103\) | −1.89060 | + | 0.555130i | −0.186286 | + | 0.0546986i | −0.373545 | − | 0.927612i | \(-0.621858\pi\) |
0.187259 | + | 0.982311i | \(0.440040\pi\) | |||||||
\(104\) | 0.225210 | + | 0.766994i | 0.0220836 | + | 0.0752099i | ||||
\(105\) | −1.44568 | − | 4.57624i | −0.141083 | − | 0.446596i | ||||
\(106\) | 7.24880 | − | 1.04222i | 0.704066 | − | 0.101229i | ||||
\(107\) | −13.7413 | + | 11.9069i | −1.32842 | + | 1.15108i | −0.351805 | + | 0.936073i | \(0.614432\pi\) |
−0.976612 | + | 0.215007i | \(0.931022\pi\) | |||||||
\(108\) | 0.909632 | − | 0.415415i | 0.0875294 | − | 0.0399733i | ||||
\(109\) | 0.0152559 | + | 0.0237386i | 0.00146125 | + | 0.00227375i | 0.841983 | − | 0.539503i | \(-0.181388\pi\) |
−0.840522 | + | 0.541777i | \(0.817752\pi\) | |||||||
\(110\) | 6.48771 | + | 0.932792i | 0.618579 | + | 0.0889383i | ||||
\(111\) | −3.49151 | − | 2.24386i | −0.331399 | − | 0.212978i | ||||
\(112\) | −2.64520 | + | 0.0539378i | −0.249948 | + | 0.00509664i | ||||
\(113\) | 2.94088 | − | 10.0157i | 0.276655 | − | 0.942199i | −0.697551 | − | 0.716536i | \(-0.745727\pi\) |
0.974205 | − | 0.225664i | \(-0.0724551\pi\) | |||||||
\(114\) | − | 1.22573i | − | 0.114800i | ||||||
\(115\) | 7.94253 | − | 3.54862i | 0.740645 | − | 0.330910i | ||||
\(116\) | −0.242175 | −0.0224854 | ||||||||
\(117\) | −0.225210 | + | 0.766994i | −0.0208206 | + | 0.0709086i | ||||
\(118\) | −0.422788 | − | 0.366348i | −0.0389208 | − | 0.0337251i | ||||
\(119\) | 2.18944 | + | 13.2974i | 0.200706 | + | 1.21897i | ||||
\(120\) | −1.79545 | − | 0.258147i | −0.163902 | − | 0.0235655i | ||||
\(121\) | −1.73027 | + | 1.11198i | −0.157298 | + | 0.101089i | ||||
\(122\) | 0.472045 | + | 1.03363i | 0.0427369 | + | 0.0935809i | ||||
\(123\) | −2.49159 | − | 2.87545i | −0.224659 | − | 0.259271i | ||||
\(124\) | −1.33596 | + | 0.192082i | −0.119972 | + | 0.0172494i | ||||
\(125\) | 5.05595 | − | 11.0710i | 0.452218 | − | 0.990220i | ||||
\(126\) | −2.25445 | − | 1.38473i | −0.200842 | − | 0.123361i | ||||
\(127\) | 1.13703 | − | 0.333862i | 0.100895 | − | 0.0296255i | −0.230895 | − | 0.972979i | \(-0.574166\pi\) |
0.331790 | + | 0.943353i | \(0.392347\pi\) | |||||||
\(128\) | −0.415415 | + | 0.909632i | −0.0367178 | + | 0.0804009i | ||||
\(129\) | 0.764978 | + | 5.32054i | 0.0673526 | + | 0.468447i | ||||
\(130\) | 1.09583 | − | 0.949545i | 0.0961110 | − | 0.0832806i | ||||
\(131\) | −7.85943 | + | 3.58928i | −0.686682 | + | 0.313597i | −0.728028 | − | 0.685548i | \(-0.759563\pi\) |
0.0413457 | + | 0.999145i | \(0.486835\pi\) | |||||||
\(132\) | 3.03980 | − | 1.95356i | 0.264581 | − | 0.170036i | ||||
\(133\) | −2.69185 | + | 1.80853i | −0.233413 | + | 0.156820i | ||||
\(134\) | −1.93494 | + | 3.01082i | −0.167153 | + | 0.260095i | ||||
\(135\) | −1.37086 | − | 1.18786i | −0.117985 | − | 0.102235i | ||||
\(136\) | 4.88729 | + | 1.43504i | 0.419082 | + | 0.123053i | ||||
\(137\) | 18.4767i | 1.57857i | 0.614025 | + | 0.789286i | \(0.289549\pi\) | ||||
−0.614025 | + | 0.789286i | \(0.710451\pi\) | |||||||
\(138\) | 2.02805 | − | 4.34592i | 0.172639 | − | 0.369949i | ||||
\(139\) | − | 17.3658i | − | 1.47295i | −0.676464 | − | 0.736476i | \(-0.736488\pi\) | ||
0.676464 | − | 0.736476i | \(-0.263512\pi\) | |||||||
\(140\) | 2.08223 | + | 4.32392i | 0.175980 | + | 0.365438i | ||||
\(141\) | −2.91461 | + | 3.36363i | −0.245454 | + | 0.283269i | ||||
\(142\) | 12.3599 | + | 7.94324i | 1.03722 | + | 0.666582i | ||||
\(143\) | −0.411072 | + | 2.85907i | −0.0343756 | + | 0.239087i | ||||
\(144\) | −0.841254 | + | 0.540641i | −0.0701045 | + | 0.0450534i | ||||
\(145\) | 0.182486 | + | 0.399588i | 0.0151546 | + | 0.0331840i | ||||
\(146\) | −4.08426 | + | 3.53903i | −0.338016 | + | 0.292892i | ||||
\(147\) | 0.285353 | + | 6.99418i | 0.0235355 | + | 0.576870i | ||||
\(148\) | 3.77531 | + | 1.72412i | 0.310328 | + | 0.141722i | ||||
\(149\) | −0.858659 | − | 2.92432i | −0.0703441 | − | 0.239570i | 0.916814 | − | 0.399313i | \(-0.130751\pi\) |
−0.987159 | + | 0.159744i | \(0.948933\pi\) | |||||||
\(150\) | −0.481683 | − | 1.64046i | −0.0393292 | − | 0.133943i | ||||
\(151\) | 7.95234 | − | 17.4132i | 0.647152 | − | 1.41707i | −0.246872 | − | 0.969048i | \(-0.579403\pi\) |
0.894025 | − | 0.448018i | \(-0.147870\pi\) | |||||||
\(152\) | 0.174439 | + | 1.21325i | 0.0141489 | + | 0.0984076i | ||||
\(153\) | 3.33561 | + | 3.84950i | 0.269668 | + | 0.311213i | ||||
\(154\) | −8.77542 | − | 3.79334i | −0.707144 | − | 0.305676i | ||||
\(155\) | 1.32361 | + | 2.05958i | 0.106315 | + | 0.165430i | ||||
\(156\) | 0.113763 | − | 0.791237i | 0.00910831 | − | 0.0633497i | ||||
\(157\) | −14.4099 | − | 9.26070i | −1.15004 | − | 0.739084i | −0.180391 | − | 0.983595i | \(-0.557736\pi\) |
−0.969646 | + | 0.244511i | \(0.921373\pi\) | |||||||
\(158\) | −5.32466 | − | 4.61384i | −0.423607 | − | 0.367057i | ||||
\(159\) | −7.02670 | − | 2.06322i | −0.557253 | − | 0.163624i | ||||
\(160\) | 1.81391 | 0.143403 | ||||||||
\(161\) | −12.5365 | + | 1.95845i | −0.988017 | + | 0.154348i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 1.29761 | + | 0.381011i | 0.101636 | + | 0.0298431i | 0.332155 | − | 0.943225i | \(-0.392224\pi\) |
−0.230519 | + | 0.973068i | \(0.574042\pi\) | |||||||
\(164\) | 2.87545 | + | 2.49159i | 0.224535 | + | 0.194561i | ||||
\(165\) | −5.51394 | − | 3.54359i | −0.429259 | − | 0.275868i | ||||
\(166\) | −1.57841 | + | 10.9781i | −0.122509 | + | 0.852066i | ||||
\(167\) | −1.49398 | − | 2.32468i | −0.115608 | − | 0.179889i | 0.778628 | − | 0.627486i | \(-0.215916\pi\) |
−0.894235 | + | 0.447597i | \(0.852280\pi\) | |||||||
\(168\) | 2.42857 | + | 1.04979i | 0.187368 | + | 0.0809933i | ||||
\(169\) | −8.09473 | − | 9.34182i | −0.622672 | − | 0.718602i | ||||
\(170\) | −1.31490 | − | 9.14534i | −0.100848 | − | 0.701415i | ||||
\(171\) | −0.509185 | + | 1.11496i | −0.0389384 | + | 0.0852631i | ||||
\(172\) | −1.51438 | − | 5.15752i | −0.115471 | − | 0.393257i | ||||
\(173\) | −1.95324 | − | 6.65214i | −0.148502 | − | 0.505753i | 0.851319 | − | 0.524648i | \(-0.175803\pi\) |
−0.999821 | + | 0.0188956i | \(0.993985\pi\) | |||||||
\(174\) | 0.220291 | + | 0.100603i | 0.0167002 | + | 0.00762672i | ||||
\(175\) | −2.89194 | + | 3.47830i | −0.218610 | + | 0.262935i | ||||
\(176\) | −2.73084 | + | 2.36628i | −0.205845 | + | 0.178365i | ||||
\(177\) | 0.232395 | + | 0.508875i | 0.0174679 | + | 0.0382494i | ||||
\(178\) | −13.0486 | + | 8.38585i | −0.978037 | + | 0.628546i | ||||
\(179\) | 1.34156 | − | 9.33074i | 0.100273 | − | 0.697412i | −0.876228 | − | 0.481897i | \(-0.839948\pi\) |
0.976501 | − | 0.215515i | \(-0.0691430\pi\) | |||||||
\(180\) | 1.52596 | + | 0.980676i | 0.113738 | + | 0.0730953i | ||||
\(181\) | 10.2718 | − | 11.8543i | 0.763499 | − | 0.881124i | −0.232305 | − | 0.972643i | \(-0.574627\pi\) |
0.995803 | + | 0.0915186i | \(0.0291721\pi\) | |||||||
\(182\) | −1.90551 | + | 0.917617i | −0.141246 | + | 0.0680183i | ||||
\(183\) | − | 1.13632i | − | 0.0839993i | ||||||
\(184\) | −1.38892 | + | 4.59030i | −0.102393 | + | 0.338402i | ||||
\(185\) | − | 7.52841i | − | 0.553500i | ||||||
\(186\) | 1.29502 | + | 0.380253i | 0.0949557 | + | 0.0278815i | ||||
\(187\) | 13.9098 | + | 12.0529i | 1.01719 | + | 0.881399i | ||||
\(188\) | 2.40624 | − | 3.74419i | 0.175493 | − | 0.273073i | ||||
\(189\) | 1.47548 | + | 2.19612i | 0.107325 | + | 0.159745i | ||||
\(190\) | 1.87041 | − | 1.20204i | 0.135694 | − | 0.0872052i | ||||
\(191\) | −1.69296 | + | 0.773148i | −0.122498 | + | 0.0559430i | −0.475721 | − | 0.879596i | \(-0.657813\pi\) |
0.353223 | + | 0.935539i | \(0.385086\pi\) | |||||||
\(192\) | 0.755750 | − | 0.654861i | 0.0545415 | − | 0.0472605i | ||||
\(193\) | −0.675520 | − | 4.69835i | −0.0486250 | − | 0.338194i | −0.999583 | − | 0.0288745i | \(-0.990808\pi\) |
0.950958 | − | 0.309320i | \(-0.100101\pi\) | |||||||
\(194\) | 2.96350 | − | 6.48916i | 0.212767 | − | 0.465895i | ||||
\(195\) | −1.39126 | + | 0.408511i | −0.0996302 | + | 0.0292541i | ||||
\(196\) | −1.27782 | − | 6.88238i | −0.0912731 | − | 0.491599i | ||||
\(197\) | 7.18343 | − | 15.7295i | 0.511798 | − | 1.12068i | −0.460654 | − | 0.887580i | \(-0.652385\pi\) |
0.972452 | − | 0.233102i | \(-0.0748875\pi\) | |||||||
\(198\) | −3.57664 | + | 0.514243i | −0.254181 | + | 0.0365456i | ||||
\(199\) | 5.96775 | + | 6.88715i | 0.423043 | + | 0.488217i | 0.926761 | − | 0.375650i | \(-0.122581\pi\) |
−0.503719 | + | 0.863868i | \(0.668035\pi\) | |||||||
\(200\) | 0.710242 | + | 1.55521i | 0.0502217 | + | 0.109970i | ||||
\(201\) | 3.01082 | − | 1.93494i | 0.212367 | − | 0.136480i | ||||
\(202\) | −18.4208 | − | 2.64851i | −1.29608 | − | 0.186349i | ||||
\(203\) | −0.104097 | − | 0.632224i | −0.00730616 | − | 0.0443734i | ||||
\(204\) | −3.84950 | − | 3.33561i | −0.269519 | − | 0.233539i | ||||
\(205\) | 1.94438 | − | 6.62196i | 0.135802 | − | 0.462498i | ||||
\(206\) | −1.97042 | −0.137285 | ||||||||
\(207\) | −3.65014 | + | 3.11070i | −0.253702 | + | 0.216209i | ||||
\(208\) | 0.799374i | 0.0554266i | ||||||||
\(209\) | −1.24781 | + | 4.24965i | −0.0863129 | + | 0.293955i | ||||
\(210\) | −0.0978385 | − | 4.79817i | −0.00675150 | − | 0.331105i | ||||
\(211\) | −19.4369 | − | 12.4913i | −1.33809 | − | 0.859939i | −0.341297 | − | 0.939955i | \(-0.610866\pi\) |
−0.996794 | + | 0.0800168i | \(0.974503\pi\) | |||||||
\(212\) | 7.24880 | + | 1.04222i | 0.497850 | + | 0.0715800i | ||||
\(213\) | −7.94324 | − | 12.3599i | −0.544262 | − | 0.846888i | ||||
\(214\) | −16.5392 | + | 7.55320i | −1.13060 | + | 0.516326i | ||||
\(215\) | −7.36875 | + | 6.38505i | −0.502544 | + | 0.435457i | ||||
\(216\) | 0.989821 | − | 0.142315i | 0.0673488 | − | 0.00968330i | ||||
\(217\) | −1.07570 | − | 3.40509i | −0.0730230 | − | 0.231152i | ||||
\(218\) | 0.00794996 | + | 0.0270751i | 0.000538440 | + | 0.00183376i | ||||
\(219\) | 5.18534 | − | 1.52255i | 0.350393 | − | 0.102885i | ||||
\(220\) | 5.96212 | + | 2.72281i | 0.401966 | + | 0.183572i | ||||
\(221\) | 4.03026 | − | 0.579464i | 0.271105 | − | 0.0389789i | ||||
\(222\) | −2.71791 | − | 3.13664i | −0.182414 | − | 0.210517i | ||||
\(223\) | 4.42454 | − | 2.02062i | 0.296289 | − | 0.135311i | −0.261724 | − | 0.965143i | \(-0.584291\pi\) |
0.558013 | + | 0.829832i | \(0.311564\pi\) | |||||||
\(224\) | −2.55325 | − | 0.693486i | −0.170596 | − | 0.0463355i | ||||
\(225\) | −0.243318 | + | 1.69231i | −0.0162212 | + | 0.112821i | ||||
\(226\) | 5.64351 | − | 8.78147i | 0.375400 | − | 0.584134i | ||||
\(227\) | 2.21861 | − | 2.56041i | 0.147254 | − | 0.169940i | −0.677331 | − | 0.735679i | \(-0.736863\pi\) |
0.824585 | + | 0.565738i | \(0.191409\pi\) | |||||||
\(228\) | 0.345327 | − | 1.17608i | 0.0228698 | − | 0.0778875i | ||||
\(229\) | −28.0765 | −1.85535 | −0.927673 | − | 0.373393i | \(-0.878194\pi\) | ||||
−0.927673 | + | 0.373393i | \(0.878194\pi\) | |||||||
\(230\) | 8.62057 | − | 1.16720i | 0.568423 | − | 0.0769632i | ||||
\(231\) | 6.40660 | + | 7.09599i | 0.421523 | + | 0.466882i | ||||
\(232\) | −0.232366 | − | 0.0682287i | −0.0152556 | − | 0.00447943i | ||||
\(233\) | 6.69815 | − | 7.73008i | 0.438811 | − | 0.506414i | −0.492665 | − | 0.870219i | \(-0.663977\pi\) |
0.931475 | + | 0.363805i | \(0.118522\pi\) | |||||||
\(234\) | −0.432174 | + | 0.672476i | −0.0282521 | + | 0.0439611i | ||||
\(235\) | −7.99106 | − | 1.14894i | −0.521279 | − | 0.0749487i | ||||
\(236\) | −0.302450 | − | 0.470622i | −0.0196878 | − | 0.0306349i | ||||
\(237\) | 2.92682 | + | 6.40884i | 0.190117 | + | 0.416299i | ||||
\(238\) | −1.64556 | + | 13.3756i | −0.106666 | + | 0.867011i | ||||
\(239\) | −0.834861 | − | 5.80659i | −0.0540027 | − | 0.375597i | −0.998844 | − | 0.0480686i | \(-0.984693\pi\) |
0.944841 | − | 0.327528i | \(-0.106216\pi\) | |||||||
\(240\) | −1.64999 | − | 0.753527i | −0.106507 | − | 0.0486400i | ||||
\(241\) | 4.31621 | − | 1.26735i | 0.278031 | − | 0.0816374i | −0.139744 | − | 0.990188i | \(-0.544628\pi\) |
0.417776 | + | 0.908550i | \(0.362810\pi\) | |||||||
\(242\) | −1.97347 | + | 0.579462i | −0.126859 | + | 0.0372492i | ||||
\(243\) | 0.909632 | + | 0.415415i | 0.0583529 | + | 0.0266489i | ||||
\(244\) | 0.161715 | + | 1.12476i | 0.0103528 | + | 0.0720051i | ||||
\(245\) | −10.3930 | + | 7.29446i | −0.663985 | + | 0.466026i | ||||
\(246\) | −1.58056 | − | 3.46094i | −0.100773 | − | 0.220661i | ||||
\(247\) | 0.529727 | + | 0.824272i | 0.0337057 | + | 0.0524472i | ||||
\(248\) | −1.33596 | − | 0.192082i | −0.0848334 | − | 0.0121972i | ||||
\(249\) | 5.99624 | − | 9.33034i | 0.379997 | − | 0.591286i | ||||
\(250\) | 7.97021 | − | 9.19811i | 0.504080 | − | 0.581740i | ||||
\(251\) | 18.2547 | + | 5.36006i | 1.15223 | + | 0.338324i | 0.801407 | − | 0.598119i | \(-0.204085\pi\) |
0.350819 | + | 0.936443i | \(0.385903\pi\) | |||||||
\(252\) | −1.77300 | − | 1.96379i | −0.111689 | − | 0.123707i | ||||
\(253\) | −11.4556 | + | 13.0029i | −0.720206 | + | 0.817486i | ||||
\(254\) | 1.18503 | 0.0743555 | ||||||||
\(255\) | −2.60303 | + | 8.86512i | −0.163008 | + | 0.555155i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | −7.99031 | + | 12.4332i | −0.498422 | + | 0.775560i | −0.995759 | − | 0.0919975i | \(-0.970675\pi\) |
0.497337 | + | 0.867557i | \(0.334311\pi\) | |||||||
\(258\) | −0.764978 | + | 5.32054i | −0.0476255 | + | 0.331242i | ||||
\(259\) | −2.87822 | + | 10.5969i | −0.178844 | + | 0.658460i | ||||
\(260\) | 1.31896 | − | 0.602350i | 0.0817986 | − | 0.0373562i | ||||
\(261\) | −0.158591 | − | 0.183024i | −0.00981655 | − | 0.0113289i | ||||
\(262\) | −8.55229 | + | 1.22963i | −0.528362 | + | 0.0759670i | ||||
\(263\) | 21.4545 | + | 9.79793i | 1.32294 | + | 0.604166i | 0.946628 | − | 0.322327i | \(-0.104465\pi\) |
0.376311 | + | 0.926493i | \(0.377192\pi\) | |||||||
\(264\) | 3.46705 | − | 1.01802i | 0.213382 | − | 0.0626546i | ||||
\(265\) | −3.74251 | − | 12.7458i | −0.229901 | − | 0.782970i | ||||
\(266\) | −3.09233 | + | 0.976895i | −0.189603 | + | 0.0598972i | ||||
\(267\) | 15.3531 | − | 2.20744i | 0.939592 | − | 0.135093i | ||||
\(268\) | −2.70480 | + | 2.34373i | −0.165222 | + | 0.143166i | ||||
\(269\) | −21.4802 | + | 9.80968i | −1.30967 | + | 0.598107i | −0.943170 | − | 0.332311i | \(-0.892172\pi\) |
−0.366501 | + | 0.930418i | \(0.619445\pi\) | |||||||
\(270\) | −0.980676 | − | 1.52596i | −0.0596820 | − | 0.0928671i | ||||
\(271\) | −4.30172 | − | 0.618494i | −0.261311 | − | 0.0375709i | 0.0104140 | − | 0.999946i | \(-0.496685\pi\) |
−0.271725 | + | 0.962375i | \(0.587594\pi\) | |||||||
\(272\) | 4.28502 | + | 2.75382i | 0.259818 | + | 0.166975i | ||||
\(273\) | 2.11450 | − | 0.0431165i | 0.127976 | − | 0.00260953i | ||||
\(274\) | −5.20549 | + | 17.7283i | −0.314475 | + | 1.07100i | ||||
\(275\) | 6.17792i | 0.372542i | ||||||||
\(276\) | 3.17029 | − | 3.59851i | 0.190829 | − | 0.216605i | ||||
\(277\) | −10.6852 | −0.642012 | −0.321006 | − | 0.947077i | \(-0.604021\pi\) | ||||
−0.321006 | + | 0.947077i | \(0.604021\pi\) | |||||||
\(278\) | 4.89252 | − | 16.6624i | 0.293434 | − | 0.999345i | ||||
\(279\) | −1.02003 | − | 0.883862i | −0.0610677 | − | 0.0529154i | ||||
\(280\) | 0.779693 | + | 4.73541i | 0.0465956 | + | 0.282995i | ||||
\(281\) | 13.1678 | + | 1.89324i | 0.785525 | + | 0.112941i | 0.523394 | − | 0.852091i | \(-0.324666\pi\) |
0.262131 | + | 0.965032i | \(0.415575\pi\) | |||||||
\(282\) | −3.74419 | + | 2.40624i | −0.222963 | + | 0.143290i | ||||
\(283\) | 1.46060 | + | 3.19827i | 0.0868238 | + | 0.190118i | 0.948063 | − | 0.318082i | \(-0.103039\pi\) |
−0.861240 | + | 0.508199i | \(0.830311\pi\) | |||||||
\(284\) | 9.62139 | + | 11.1037i | 0.570925 | + | 0.658882i | ||||
\(285\) | −2.20073 | + | 0.316417i | −0.130360 | + | 0.0187430i | ||||
\(286\) | −1.19991 | + | 2.62745i | −0.0709524 | + | 0.155364i | ||||
\(287\) | −5.26857 | + | 8.57764i | −0.310994 | + | 0.506322i | ||||
\(288\) | −0.959493 | + | 0.281733i | −0.0565387 | + | 0.0166013i | ||||
\(289\) | 3.71585 | − | 8.13658i | 0.218580 | − | 0.478623i | ||||
\(290\) | 0.0625168 | + | 0.434814i | 0.00367112 | + | 0.0255332i | ||||
\(291\) | −5.39139 | + | 4.67166i | −0.316049 | + | 0.273858i | ||||
\(292\) | −4.91588 | + | 2.24501i | −0.287680 | + | 0.131379i | ||||
\(293\) | 19.1069 | − | 12.2792i | 1.11624 | − | 0.717361i | 0.153592 | − | 0.988134i | \(-0.450916\pi\) |
0.962643 | + | 0.270773i | \(0.0872794\pi\) | |||||||
\(294\) | −1.69669 | + | 6.79126i | −0.0989532 | + | 0.396074i | ||||
\(295\) | −0.548619 | + | 0.853668i | −0.0319418 | + | 0.0497025i | ||||
\(296\) | 3.13664 | + | 2.71791i | 0.182313 | + | 0.157975i | ||||
\(297\) | 3.46705 | + | 1.01802i | 0.201179 | + | 0.0590713i | ||||
\(298\) | − | 3.04778i | − | 0.176553i | ||||||
\(299\) | 0.514375 | + | 3.79900i | 0.0297471 | + | 0.219702i | ||||
\(300\) | − | 1.70972i | − | 0.0987105i | ||||||
\(301\) | 12.8133 | − | 6.17036i | 0.738545 | − | 0.355654i | ||||
\(302\) | 12.5361 | − | 14.4674i | 0.721370 | − | 0.832506i | ||||
\(303\) | 15.6559 | + | 10.0615i | 0.899410 | + | 0.578016i | ||||
\(304\) | −0.174439 | + | 1.21325i | −0.0100048 | + | 0.0695847i | ||||
\(305\) | 1.73398 | − | 1.11436i | 0.0992876 | − | 0.0638083i | ||||
\(306\) | 2.11596 | + | 4.63332i | 0.120962 | + | 0.264869i | ||||
\(307\) | 14.5699 | − | 12.6249i | 0.831549 | − | 0.720541i | −0.131078 | − | 0.991372i | \(-0.541844\pi\) |
0.962627 | + | 0.270831i | \(0.0872983\pi\) | |||||||
\(308\) | −7.35125 | − | 6.11200i | −0.418876 | − | 0.348264i | ||||
\(309\) | 1.79235 | + | 0.818540i | 0.101963 | + | 0.0465651i | ||||
\(310\) | 0.689746 | + | 2.34906i | 0.0391750 | + | 0.133418i | ||||
\(311\) | 1.28000 | + | 4.35928i | 0.0725822 | + | 0.247192i | 0.987790 | − | 0.155789i | \(-0.0497921\pi\) |
−0.915208 | + | 0.402981i | \(0.867974\pi\) | |||||||
\(312\) | 0.332072 | − | 0.727136i | 0.0187999 | − | 0.0411660i | ||||
\(313\) | 1.76387 | + | 12.2680i | 0.0996997 | + | 0.693427i | 0.976962 | + | 0.213415i | \(0.0684586\pi\) |
−0.877262 | + | 0.480012i | \(0.840632\pi\) | |||||||
\(314\) | −11.2172 | − | 12.9453i | −0.633022 | − | 0.730546i | ||||
\(315\) | −1.90423 | + | 4.40521i | −0.107291 | + | 0.248206i | ||||
\(316\) | −3.80910 | − | 5.92708i | −0.214279 | − | 0.333424i | ||||
\(317\) | −1.22404 | + | 8.51339i | −0.0687489 | + | 0.478159i | 0.926140 | + | 0.377181i | \(0.123106\pi\) |
−0.994889 | + | 0.100979i | \(0.967803\pi\) | |||||||
\(318\) | −6.16079 | − | 3.95930i | −0.345480 | − | 0.222026i | ||||
\(319\) | −0.661342 | − | 0.573056i | −0.0370280 | − | 0.0320850i | ||||
\(320\) | 1.74044 | + | 0.511039i | 0.0972934 | + | 0.0285679i | ||||
\(321\) | 18.1823 | 1.01484 | ||||||||
\(322\) | −12.5805 | − | 1.65283i | −0.701082 | − | 0.0921084i | ||||
\(323\) | 6.24338 | 0.347391 | ||||||||
\(324\) | −0.959493 | − | 0.281733i | −0.0533052 | − | 0.0156518i | ||||
\(325\) | 1.03288 | + | 0.894999i | 0.0572941 | + | 0.0496456i | ||||
\(326\) | 1.13770 | + | 0.731155i | 0.0630114 | + | 0.0404949i | ||||
\(327\) | 0.00401586 | − | 0.0279309i | 0.000222077 | − | 0.00154458i | ||||
\(328\) | 2.05701 | + | 3.20077i | 0.113580 | + | 0.176733i | ||||
\(329\) | 10.8089 | + | 4.67234i | 0.595913 | + | 0.257594i | ||||
\(330\) | −4.29224 | − | 4.95351i | −0.236280 | − | 0.272682i | ||||
\(331\) | −0.148620 | − | 1.03367i | −0.00816889 | − | 0.0568159i | 0.985329 | − | 0.170664i | \(-0.0545913\pi\) |
−0.993498 | + | 0.113848i | \(0.963682\pi\) | |||||||
\(332\) | −4.60737 | + | 10.0887i | −0.252862 | + | 0.553691i | ||||
\(333\) | 1.16929 | + | 3.98225i | 0.0640769 | + | 0.218226i | ||||
\(334\) | −0.778526 | − | 2.65142i | −0.0425991 | − | 0.145079i | ||||
\(335\) | 5.90528 | + | 2.69685i | 0.322640 | + | 0.147345i | ||||
\(336\) | 2.03443 | + | 1.69148i | 0.110987 | + | 0.0922775i | ||||
\(337\) | −19.2022 | + | 16.6388i | −1.04601 | + | 0.906373i | −0.995726 | − | 0.0923616i | \(-0.970558\pi\) |
−0.0502850 | + | 0.998735i | \(0.516013\pi\) | |||||||
\(338\) | −5.13495 | − | 11.2440i | −0.279304 | − | 0.611591i | ||||
\(339\) | −8.78147 | + | 5.64351i | −0.476944 | + | 0.306513i | ||||
\(340\) | 1.31490 | − | 9.14534i | 0.0713105 | − | 0.495976i | ||||
\(341\) | −4.10280 | − | 2.63671i | −0.222179 | − | 0.142786i | ||||
\(342\) | −0.802680 | + | 0.926342i | −0.0434040 | + | 0.0500909i | ||||
\(343\) | 17.4179 | − | 6.29421i | 0.940478 | − | 0.339856i | ||||
\(344\) | − | 5.37525i | − | 0.289814i | ||||||
\(345\) | −8.32642 | − | 2.51939i | −0.448279 | − | 0.135639i | ||||
\(346\) | − | 6.93297i | − | 0.372719i | ||||||
\(347\) | −9.17483 | − | 2.69397i | −0.492530 | − | 0.144620i | 0.0260296 | − | 0.999661i | \(-0.491714\pi\) |
−0.518560 | + | 0.855041i | \(0.673532\pi\) | |||||||
\(348\) | 0.183024 | + | 0.158591i | 0.00981112 | + | 0.00850138i | ||||
\(349\) | 9.59815 | − | 14.9350i | 0.513777 | − | 0.799453i | −0.483332 | − | 0.875437i | \(-0.660574\pi\) |
0.997109 | + | 0.0759846i | \(0.0242100\pi\) | |||||||
\(350\) | −3.75475 | + | 2.52265i | −0.200700 | + | 0.134841i | ||||
\(351\) | 0.672476 | − | 0.432174i | 0.0358941 | − | 0.0230677i | ||||
\(352\) | −3.28688 | + | 1.50107i | −0.175191 | + | 0.0800072i | ||||
\(353\) | 6.40030 | − | 5.54589i | 0.340653 | − | 0.295178i | −0.467686 | − | 0.883895i | \(-0.654912\pi\) |
0.808339 | + | 0.588717i | \(0.200367\pi\) | |||||||
\(354\) | 0.0796151 | + | 0.553735i | 0.00423149 | + | 0.0294307i | ||||
\(355\) | 11.0710 | − | 24.2422i | 0.587589 | − | 1.28664i | ||||
\(356\) | −14.8826 | + | 4.36994i | −0.788779 | + | 0.231606i | ||||
\(357\) | 7.05327 | − | 11.4833i | 0.373299 | − | 0.607760i | ||||
\(358\) | 3.91599 | − | 8.57482i | 0.206966 | − | 0.453193i | ||||
\(359\) | −23.2445 | + | 3.34206i | −1.22680 | + | 0.176387i | −0.725093 | − | 0.688651i | \(-0.758203\pi\) |
−0.501707 | + | 0.865038i | \(0.667294\pi\) | |||||||
\(360\) | 1.18786 | + | 1.37086i | 0.0626058 | + | 0.0722509i | ||||
\(361\) | −7.26876 | − | 15.9164i | −0.382567 | − | 0.837704i | ||||
\(362\) | 13.1955 | − | 8.48023i | 0.693540 | − | 0.445711i | ||||
\(363\) | 2.03585 | + | 0.292711i | 0.106854 | + | 0.0153633i | ||||
\(364\) | −2.08685 | + | 0.343603i | −0.109380 | + | 0.0180097i | ||||
\(365\) | 7.40849 | + | 6.41949i | 0.387778 | + | 0.336012i | ||||
\(366\) | 0.320139 | − | 1.09029i | 0.0167339 | − | 0.0569905i | ||||
\(367\) | 2.14430 | 0.111932 | 0.0559658 | − | 0.998433i | \(-0.482176\pi\) | ||||
0.0559658 | + | 0.998433i | \(0.482176\pi\) | |||||||
\(368\) | −2.62590 | + | 4.01306i | −0.136884 | + | 0.209195i | ||||
\(369\) | 3.80477i | 0.198068i | ||||||||
\(370\) | 2.12100 | − | 7.22345i | 0.110265 | − | 0.375530i | ||||
\(371\) | 0.395005 | + | 19.3717i | 0.0205076 | + | 1.00573i | ||||
\(372\) | 1.13544 | + | 0.729700i | 0.0588696 | + | 0.0378332i | ||||
\(373\) | 20.3814 | + | 2.93041i | 1.05531 | + | 0.151731i | 0.648063 | − | 0.761587i | \(-0.275580\pi\) |
0.407248 | + | 0.913318i | \(0.366489\pi\) | |||||||
\(374\) | 9.95069 | + | 15.4836i | 0.514538 | + | 0.800636i | ||||
\(375\) | −11.0710 | + | 5.05595i | −0.571704 | + | 0.261088i | ||||
\(376\) | 3.36363 | − | 2.91461i | 0.173466 | − | 0.150309i | ||||
\(377\) | −0.191618 | + | 0.0275505i | −0.00986884 | + | 0.00141893i | ||||
\(378\) | 0.796992 | + | 2.52286i | 0.0409929 | + | 0.129762i | ||||
\(379\) | −2.88104 | − | 9.81191i | −0.147989 | − | 0.504004i | 0.851814 | − | 0.523844i | \(-0.175502\pi\) |
−0.999803 | + | 0.0198400i | \(0.993684\pi\) | |||||||
\(380\) | 2.13330 | − | 0.626394i | 0.109436 | − | 0.0321333i | ||||
\(381\) | −1.07794 | − | 0.492280i | −0.0552247 | − | 0.0252203i | ||||
\(382\) | −1.84220 | + | 0.264869i | −0.0942553 | + | 0.0135519i | ||||
\(383\) | 11.7459 | + | 13.5555i | 0.600189 | + | 0.692655i | 0.971820 | − | 0.235726i | \(-0.0757467\pi\) |
−0.371631 | + | 0.928381i | \(0.621201\pi\) | |||||||
\(384\) | 0.909632 | − | 0.415415i | 0.0464195 | − | 0.0211991i | ||||
\(385\) | −4.54541 | + | 16.7351i | −0.231655 | + | 0.852899i | ||||
\(386\) | 0.675520 | − | 4.69835i | 0.0343831 | − | 0.239140i | ||||
\(387\) | 2.90608 | − | 4.52195i | 0.147724 | − | 0.229864i | ||||
\(388\) | 4.67166 | − | 5.39139i | 0.237168 | − | 0.273706i | ||||
\(389\) | 2.88578 | − | 9.82808i | 0.146315 | − | 0.498303i | −0.853422 | − | 0.521220i | \(-0.825477\pi\) |
0.999737 | + | 0.0229168i | \(0.00729528\pi\) | |||||||
\(390\) | −1.45000 | −0.0734234 | ||||||||
\(391\) | 22.1364 | + | 10.3301i | 1.11949 | + | 0.522417i | ||||
\(392\) | 0.712928 | − | 6.96360i | 0.0360083 | − | 0.351715i | ||||
\(393\) | 8.29024 | + | 2.43424i | 0.418188 | + | 0.122791i | ||||
\(394\) | 11.3240 | − | 13.0686i | 0.570493 | − | 0.658384i | ||||
\(395\) | −6.90938 | + | 10.7512i | −0.347649 | + | 0.540952i | ||||
\(396\) | −3.57664 | − | 0.514243i | −0.179733 | − | 0.0258417i | ||||
\(397\) | 9.18607 | + | 14.2938i | 0.461036 | + | 0.717385i | 0.991469 | − | 0.130341i | \(-0.0416072\pi\) |
−0.530434 | + | 0.847727i | \(0.677971\pi\) | |||||||
\(398\) | 3.78568 | + | 8.28949i | 0.189759 | + | 0.415514i | ||||
\(399\) | 3.21870 | + | 0.395986i | 0.161137 | + | 0.0198241i | ||||
\(400\) | 0.243318 | + | 1.69231i | 0.0121659 | + | 0.0846157i | ||||
\(401\) | 10.9338 | + | 4.99332i | 0.546010 | + | 0.249354i | 0.669269 | − | 0.743020i | \(-0.266607\pi\) |
−0.123259 | + | 0.992375i | \(0.539335\pi\) | |||||||
\(402\) | 3.43400 | − | 1.00831i | 0.171272 | − | 0.0502900i | ||||
\(403\) | −1.03521 | + | 0.303964i | −0.0515673 | + | 0.0151415i | ||||
\(404\) | −16.9285 | − | 7.73098i | −0.842223 | − | 0.384631i | ||||
\(405\) | 0.258147 | + | 1.79545i | 0.0128274 | + | 0.0892167i | ||||
\(406\) | 0.0782378 | − | 0.635941i | 0.00388288 | − | 0.0315612i | ||||
\(407\) | 6.22998 | + | 13.6418i | 0.308809 | + | 0.676197i | ||||
\(408\) | −2.75382 | − | 4.28502i | −0.136334 | − | 0.212140i | ||||
\(409\) | −29.4986 | − | 4.24126i | −1.45861 | − | 0.209717i | −0.633087 | − | 0.774081i | \(-0.718213\pi\) |
−0.825526 | + | 0.564364i | \(0.809122\pi\) | |||||||
\(410\) | 3.73124 | − | 5.80593i | 0.184273 | − | 0.286734i | ||||
\(411\) | 12.0997 | − | 13.9638i | 0.596833 | − | 0.688782i | ||||
\(412\) | −1.89060 | − | 0.555130i | −0.0931432 | − | 0.0273493i | ||||
\(413\) | 1.09860 | − | 0.991869i | 0.0540586 | − | 0.0488067i | ||||
\(414\) | −4.37867 | + | 1.95633i | −0.215200 | + | 0.0961485i | ||||
\(415\) | 20.1181 | 0.987559 | ||||||||
\(416\) | −0.225210 | + | 0.766994i | −0.0110418 | + | 0.0376050i | ||||
\(417\) | −11.3722 | + | 13.1242i | −0.556900 | + | 0.642696i | ||||
\(418\) | −2.39453 | + | 3.72596i | −0.117120 | + | 0.182243i | ||||
\(419\) | 3.76364 | − | 26.1767i | 0.183866 | − | 1.27882i | −0.663649 | − | 0.748044i | \(-0.730993\pi\) |
0.847515 | − | 0.530772i | \(-0.178098\pi\) | |||||||
\(420\) | 1.25792 | − | 4.63137i | 0.0613804 | − | 0.225988i | ||||
\(421\) | −19.7412 | + | 9.01552i | −0.962129 | + | 0.439389i | −0.833632 | − | 0.552320i | \(-0.813742\pi\) |
−0.128497 | + | 0.991710i | \(0.541015\pi\) | |||||||
\(422\) | −15.1303 | − | 17.4613i | −0.736534 | − | 0.850005i | ||||
\(423\) | 4.40542 | − | 0.633404i | 0.214199 | − | 0.0307972i | ||||
\(424\) | 6.66155 | + | 3.04223i | 0.323513 | + | 0.147744i | ||||
\(425\) | 8.35587 | − | 2.45351i | 0.405319 | − | 0.119013i | ||||
\(426\) | −4.13929 | − | 14.0971i | −0.200549 | − | 0.683008i | ||||
\(427\) | −2.86678 | + | 0.905640i | −0.138733 | + | 0.0438270i | ||||
\(428\) | −17.9972 | + | 2.58761i | −0.869929 | + | 0.125077i | ||||
\(429\) | 2.18296 | − | 1.89155i | 0.105394 | − | 0.0913247i | ||||
\(430\) | −8.86914 | + | 4.05040i | −0.427708 | + | 0.195328i | ||||
\(431\) | −1.42033 | − | 2.21008i | −0.0684148 | − | 0.106456i | 0.805361 | − | 0.592785i | \(-0.201972\pi\) |
−0.873775 | + | 0.486330i | \(0.838335\pi\) | |||||||
\(432\) | 0.989821 | + | 0.142315i | 0.0476228 | + | 0.00684713i | ||||
\(433\) | 2.43753 | + | 1.56650i | 0.117140 | + | 0.0752814i | 0.597899 | − | 0.801571i | \(-0.296002\pi\) |
−0.480759 | + | 0.876853i | \(0.659639\pi\) | |||||||
\(434\) | −0.0727996 | − | 3.57021i | −0.00349449 | − | 0.171376i | ||||
\(435\) | 0.123761 | − | 0.421491i | 0.00593389 | − | 0.0202090i | ||||
\(436\) | 0.0282181i | 0.00135140i | ||||||||
\(437\) | −0.0483225 | + | 5.87818i | −0.00231158 | + | 0.281191i | ||||
\(438\) | 5.40425 | 0.258225 | ||||||||
\(439\) | 7.17948 | − | 24.4511i | 0.342658 | − | 1.16699i | −0.590356 | − | 0.807143i | \(-0.701012\pi\) |
0.933013 | − | 0.359842i | \(-0.117169\pi\) | |||||||
\(440\) | 4.95351 | + | 4.29224i | 0.236149 | + | 0.204624i | ||||
\(441\) | 4.36456 | − | 5.47272i | 0.207836 | − | 0.260606i | ||||
\(442\) | 4.03026 | + | 0.579464i | 0.191700 | + | 0.0275623i | ||||
\(443\) | −31.0112 | + | 19.9297i | −1.47339 | + | 0.946888i | −0.475650 | + | 0.879634i | \(0.657787\pi\) |
−0.997736 | + | 0.0672533i | \(0.978576\pi\) | |||||||
\(444\) | −1.72412 | − | 3.77531i | −0.0818233 | − | 0.179168i | ||||
\(445\) | 18.4249 | + | 21.2634i | 0.873422 | + | 1.00798i | ||||
\(446\) | 4.81459 | − | 0.692233i | 0.227977 | − | 0.0327782i | ||||
\(447\) | −1.26609 | + | 2.77236i | −0.0598842 | + | 0.131128i | ||||
\(448\) | −2.25445 | − | 1.38473i | −0.106513 | − | 0.0654223i | ||||
\(449\) | 19.9608 | − | 5.86102i | 0.942008 | − | 0.276598i | 0.225552 | − | 0.974231i | \(-0.427581\pi\) |
0.716456 | + | 0.697633i | \(0.245763\pi\) | |||||||
\(450\) | −0.710242 | + | 1.55521i | −0.0334811 | + | 0.0733134i | ||||
\(451\) | 1.95657 | + | 13.6083i | 0.0921315 | + | 0.640789i | ||||
\(452\) | 7.88893 | − | 6.83580i | 0.371064 | − | 0.321529i | ||||
\(453\) | −17.4132 | + | 7.95234i | −0.818143 | + | 0.373634i | ||||
\(454\) | 2.85009 | − | 1.83164i | 0.133761 | − | 0.0859632i | ||||
\(455\) | 2.13944 | + | 3.18437i | 0.100298 | + | 0.149286i | ||||
\(456\) | 0.662678 | − | 1.03115i | 0.0310327 | − | 0.0482879i | ||||
\(457\) | 7.65856 | + | 6.63618i | 0.358252 | + | 0.310427i | 0.815327 | − | 0.579001i | \(-0.196557\pi\) |
−0.457075 | + | 0.889428i | \(0.651103\pi\) | |||||||
\(458\) | −26.9392 | − | 7.91006i | −1.25879 | − | 0.369613i | ||||
\(459\) | − | 5.09362i | − | 0.237750i | ||||||
\(460\) | 8.60021 | + | 1.30877i | 0.400987 | + | 0.0610217i | ||||
\(461\) | − | 40.8200i | − | 1.90118i | −0.310451 | − | 0.950589i | \(-0.600480\pi\) | ||
0.310451 | − | 0.950589i | \(-0.399520\pi\) | |||||||
\(462\) | 4.14791 | + | 8.61349i | 0.192978 | + | 0.400736i | ||||
\(463\) | −18.3475 | + | 21.1741i | −0.852680 | + | 0.984045i | −0.999987 | − | 0.00504536i | \(-0.998394\pi\) |
0.147307 | + | 0.989091i | \(0.452939\pi\) | |||||||
\(464\) | −0.203731 | − | 0.130930i | −0.00945797 | − | 0.00607827i | ||||
\(465\) | 0.348420 | − | 2.42331i | 0.0161576 | − | 0.112378i | ||||
\(466\) | 8.60465 | − | 5.52987i | 0.398603 | − | 0.256166i | ||||
\(467\) | 5.31841 | + | 11.6457i | 0.246107 | + | 0.538899i | 0.991861 | − | 0.127322i | \(-0.0406382\pi\) |
−0.745755 | + | 0.666221i | \(0.767911\pi\) | |||||||
\(468\) | −0.604126 | + | 0.523479i | −0.0279258 | + | 0.0241978i | ||||
\(469\) | −7.28117 | − | 6.05374i | −0.336213 | − | 0.279536i | ||||
\(470\) | −7.34367 | − | 3.35374i | −0.338738 | − | 0.154697i | ||||
\(471\) | 4.82583 | + | 16.4353i | 0.222362 | + | 0.757297i | ||||
\(472\) | −0.157609 | − | 0.536769i | −0.00725456 | − | 0.0247068i | ||||
\(473\) | 8.06862 | − | 17.6678i | 0.370995 | − | 0.812367i | ||||
\(474\) | 1.00268 | + | 6.97382i | 0.0460548 | + | 0.320318i | ||||
\(475\) | 1.37235 | + | 1.58378i | 0.0629680 | + | 0.0726689i | ||||
\(476\) | −5.34724 | + | 12.3702i | −0.245090 | + | 0.566986i | ||||
\(477\) | 3.95930 | + | 6.16079i | 0.181284 | + | 0.282083i | ||||
\(478\) | 0.834861 | − | 5.80659i | 0.0381857 | − | 0.265587i | ||||
\(479\) | −9.18266 | − | 5.90134i | −0.419566 | − | 0.269639i | 0.313778 | − | 0.949496i | \(-0.398405\pi\) |
−0.733344 | + | 0.679857i | \(0.762042\pi\) | |||||||
\(480\) | −1.37086 | − | 1.18786i | −0.0625711 | − | 0.0542182i | ||||
\(481\) | 3.18330 | + | 0.934702i | 0.145146 | + | 0.0426188i | ||||
\(482\) | 4.49842 | 0.204898 | ||||||||
\(483\) | 10.7570 | + | 6.72958i | 0.489460 | + | 0.306206i | ||||
\(484\) | −2.05678 | −0.0934901 | ||||||||
\(485\) | −12.4160 | − | 3.64566i | −0.563781 | − | 0.165541i | ||||
\(486\) | 0.755750 | + | 0.654861i | 0.0342815 | + | 0.0297051i | ||||
\(487\) | −26.5629 | − | 17.0710i | −1.20368 | − | 0.773559i | −0.224092 | − | 0.974568i | \(-0.571942\pi\) |
−0.979589 | + | 0.201009i | \(0.935578\pi\) | |||||||
\(488\) | −0.161715 | + | 1.12476i | −0.00732051 | + | 0.0509153i | ||||
\(489\) | −0.731155 | − | 1.13770i | −0.0330640 | − | 0.0514486i | ||||
\(490\) | −12.0271 | + | 4.07094i | −0.543330 | + | 0.183906i | ||||
\(491\) | 1.58250 | + | 1.82630i | 0.0714173 | + | 0.0824199i | 0.790334 | − | 0.612676i | \(-0.209907\pi\) |
−0.718917 | + | 0.695096i | \(0.755362\pi\) | |||||||
\(492\) | −0.541475 | − | 3.76604i | −0.0244116 | − | 0.169786i | ||||
\(493\) | −0.512435 | + | 1.12208i | −0.0230789 | + | 0.0505357i | ||||
\(494\) | 0.276045 | + | 0.940124i | 0.0124199 | + | 0.0422982i | ||||
\(495\) | 1.84660 | + | 6.28893i | 0.0829983 | + | 0.282666i | ||||
\(496\) | −1.22773 | − | 0.560684i | −0.0551265 | − | 0.0251754i | ||||
\(497\) | −24.8516 | + | 29.8904i | −1.11475 | + | 1.34077i | ||||
\(498\) | 8.38201 | − | 7.26306i | 0.375607 | − | 0.325465i | ||||
\(499\) | −5.96675 | − | 13.0654i | −0.267108 | − | 0.584886i | 0.727786 | − | 0.685804i | \(-0.240549\pi\) |
−0.994895 | + | 0.100918i | \(0.967822\pi\) | |||||||
\(500\) | 10.2388 | − | 6.58006i | 0.457892 | − | 0.294269i | ||||
\(501\) | −0.393266 | + | 2.73522i | −0.0175698 | + | 0.122201i | ||||
\(502\) | 16.0051 | + | 10.2859i | 0.714344 | + | 0.459081i | ||||
\(503\) | 14.9167 | − | 17.2148i | 0.665102 | − | 0.767569i | −0.318500 | − | 0.947923i | \(-0.603179\pi\) |
0.983602 | + | 0.180354i | \(0.0577244\pi\) | |||||||
\(504\) | −1.14792 | − | 2.38375i | −0.0511324 | − | 0.106181i | ||||
\(505\) | 33.7574i | 1.50218i | ||||||||
\(506\) | −14.6549 | + | 9.24879i | −0.651489 | + | 0.411159i | ||||
\(507\) | 12.3610i | 0.548971i | ||||||||
\(508\) | 1.13703 | + | 0.333862i | 0.0504475 | + | 0.0148127i | ||||
\(509\) | −9.07519 | − | 7.86369i | −0.402251 | − | 0.348552i | 0.430120 | − | 0.902772i | \(-0.358471\pi\) |
−0.832370 | + | 0.554220i | \(0.813017\pi\) | |||||||
\(510\) | −4.99519 | + | 7.77266i | −0.221191 | + | 0.344179i | ||||
\(511\) | −7.97385 | − | 11.8684i | −0.352743 | − | 0.525027i | ||||
\(512\) | −0.841254 | + | 0.540641i | −0.0371785 | + | 0.0238932i | ||||
\(513\) | 1.11496 | − | 0.509185i | 0.0492267 | − | 0.0224811i | ||||
\(514\) | −11.1695 | + | 9.67841i | −0.492665 | + | 0.426896i | ||||
\(515\) | 0.508657 | + | 3.53779i | 0.0224141 | + | 0.155893i | ||||
\(516\) | −2.23296 | + | 4.88950i | −0.0983006 | + | 0.215248i | ||||
\(517\) | 15.4309 | − | 4.53092i | 0.678649 | − | 0.199269i | ||||
\(518\) | −5.74713 | + | 9.35678i | −0.252514 | + | 0.411113i | ||||
\(519\) | −2.88006 | + | 6.30645i | −0.126421 | + | 0.276823i | ||||
\(520\) | 1.43524 | − | 0.206356i | 0.0629393 | − | 0.00904930i | ||||
\(521\) | 10.5743 | + | 12.2034i | 0.463267 | + | 0.534639i | 0.938527 | − | 0.345207i | \(-0.112191\pi\) |
−0.475259 | + | 0.879846i | \(0.657646\pi\) | |||||||
\(522\) | −0.100603 | − | 0.220291i | −0.00440329 | − | 0.00964186i | ||||
\(523\) | −32.7141 | + | 21.0241i | −1.43049 | + | 0.919319i | −0.430629 | + | 0.902529i | \(0.641708\pi\) |
−0.999859 | + | 0.0167901i | \(0.994655\pi\) | |||||||
\(524\) | −8.55229 | − | 1.22963i | −0.373609 | − | 0.0537168i | ||||
\(525\) | 4.46339 | − | 0.734905i | 0.194798 | − | 0.0320739i | ||||
\(526\) | 17.8250 | + | 15.4455i | 0.777208 | + | 0.673455i | ||||
\(527\) | −1.93686 | + | 6.59635i | −0.0843711 | + | 0.287341i | ||||
\(528\) | 3.61342 | 0.157254 | ||||||||
\(529\) | −9.89721 | + | 20.7616i | −0.430313 | + | 0.902680i | ||||
\(530\) | − | 13.2839i | − | 0.577016i | ||||||
\(531\) | 0.157609 | − | 0.536769i | 0.00683967 | − | 0.0232938i | ||||
\(532\) | −3.24229 | + | 0.0661130i | −0.140571 | + | 0.00286636i | ||||
\(533\) | 2.55861 | + | 1.64432i | 0.110826 | + | 0.0712235i | ||||
\(534\) | 15.3531 | + | 2.20744i | 0.664392 | + | 0.0955252i | ||||
\(535\) | 17.8309 | + | 27.7455i | 0.770899 | + | 1.19954i | ||||
\(536\) | −3.25554 | + | 1.48676i | −0.140618 | + | 0.0642181i | ||||
\(537\) | −7.12422 | + | 6.17317i | −0.307433 | + | 0.266392i | ||||
\(538\) | −23.3738 | + | 3.36065i | −1.00772 | + | 0.144888i | ||||
\(539\) | 12.7961 | − | 21.8184i | 0.551169 | − | 0.939783i | ||||
\(540\) | −0.511039 | − | 1.74044i | −0.0219916 | − | 0.0748965i | ||||
\(541\) | 34.4490 | − | 10.1151i | 1.48108 | − | 0.434883i | 0.561395 | − | 0.827548i | \(-0.310265\pi\) |
0.919682 | + | 0.392665i | \(0.128447\pi\) | |||||||
\(542\) | −3.95322 | − | 1.80538i | −0.169805 | − | 0.0775476i | ||||
\(543\) | −15.5259 | + | 2.23228i | −0.666278 | + | 0.0957963i | ||||
\(544\) | 3.33561 | + | 3.84950i | 0.143013 | + | 0.165046i | ||||
\(545\) | 0.0465597 | − | 0.0212631i | 0.00199440 | − | 0.000910812i | ||||
\(546\) | 2.04100 | + | 0.554355i | 0.0873467 | + | 0.0237242i | ||||
\(547\) | −2.43708 | + | 16.9503i | −0.104202 | + | 0.724742i | 0.869004 | + | 0.494806i | \(0.164761\pi\) |
−0.973206 | + | 0.229936i | \(0.926148\pi\) | |||||||
\(548\) | −9.98927 | + | 15.5436i | −0.426720 | + | 0.663990i | ||||
\(549\) | −0.744132 | + | 0.858775i | −0.0317588 | + | 0.0366516i | ||||
\(550\) | −1.74052 | + | 5.92767i | −0.0742160 | + | 0.252757i | ||||
\(551\) | −0.296841 | −0.0126458 | ||||||||
\(552\) | 4.05569 | − | 2.55957i | 0.172622 | − | 0.108943i | ||||
\(553\) | 13.8359 | − | 12.4917i | 0.588363 | − | 0.531203i | ||||
\(554\) | −10.2524 | − | 3.01037i | −0.435582 | − | 0.127898i | ||||
\(555\) | −4.93006 | + | 5.68959i | −0.209269 | + | 0.241510i | ||||
\(556\) | 9.38868 | − | 14.6091i | 0.398169 | − | 0.619563i | ||||
\(557\) | 4.82567 | + | 0.693826i | 0.204470 | + | 0.0293983i | 0.243789 | − | 0.969828i | \(-0.421610\pi\) |
−0.0393187 | + | 0.999227i | \(0.512519\pi\) | |||||||
\(558\) | −0.729700 | − | 1.13544i | −0.0308907 | − | 0.0480668i | ||||
\(559\) | −1.78497 | − | 3.90854i | −0.0754962 | − | 0.165314i | ||||
\(560\) | −0.586008 | + | 4.76325i | −0.0247634 | + | 0.201284i | ||||
\(561\) | −2.61936 | − | 18.2180i | −0.110589 | − | 0.769165i | ||||
\(562\) | 12.1010 | + | 5.52635i | 0.510451 | + | 0.233115i | ||||
\(563\) | 29.6570 | − | 8.70808i | 1.24989 | − | 0.367002i | 0.411170 | − | 0.911559i | \(-0.365120\pi\) |
0.838724 | + | 0.544557i | \(0.183302\pi\) | |||||||
\(564\) | −4.27044 | + | 1.25391i | −0.179818 | + | 0.0527993i | ||||
\(565\) | −17.2235 | − | 7.86573i | −0.724600 | − | 0.330914i | ||||
\(566\) | 0.500380 | + | 3.48022i | 0.0210325 | + | 0.146285i | ||||
\(567\) | 0.323063 | − | 2.62595i | 0.0135674 | − | 0.110280i | ||||
\(568\) | 6.10339 | + | 13.3646i | 0.256093 | + | 0.560764i | ||||
\(569\) | −17.4440 | − | 27.1434i | −0.731290 | − | 1.13791i | −0.985321 | − | 0.170713i | \(-0.945393\pi\) |
0.254031 | − | 0.967196i | \(-0.418244\pi\) | |||||||
\(570\) | −2.20073 | − | 0.316417i | −0.0921785 | − | 0.0132533i | ||||
\(571\) | −10.4103 | + | 16.1987i | −0.435656 | + | 0.677894i | −0.987778 | − | 0.155870i | \(-0.950182\pi\) |
0.552122 | + | 0.833763i | \(0.313818\pi\) | |||||||
\(572\) | −1.89155 | + | 2.18296i | −0.0790895 | + | 0.0912742i | ||||
\(573\) | 1.78576 | + | 0.524346i | 0.0746011 | + | 0.0219048i | ||||
\(574\) | −7.47176 | + | 6.74586i | −0.311865 | + | 0.281567i | ||||
\(575\) | 2.24532 | + | 7.88609i | 0.0936362 | + | 0.328873i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −2.14114 | + | 7.29206i | −0.0891370 | + | 0.303573i | −0.991980 | − | 0.126399i | \(-0.959658\pi\) |
0.902843 | + | 0.429971i | \(0.141476\pi\) | |||||||
\(578\) | 5.85768 | − | 6.76012i | 0.243647 | − | 0.281184i | ||||
\(579\) | −2.56624 | + | 3.99315i | −0.106649 | + | 0.165949i | ||||
\(580\) | −0.0625168 | + | 0.434814i | −0.00259587 | + | 0.0180547i | ||||
\(581\) | −28.3181 | − | 7.69145i | −1.17483 | − | 0.319095i | ||||
\(582\) | −6.48916 | + | 2.96350i | −0.268984 | + | 0.122841i | ||||
\(583\) | 17.3291 | + | 19.9989i | 0.717699 | + | 0.828268i | ||||
\(584\) | −5.34924 | + | 0.769104i | −0.221353 | + | 0.0318258i | ||||
\(585\) | 1.31896 | + | 0.602350i | 0.0545324 | + | 0.0249041i | ||||
\(586\) | 21.7924 | − | 6.39882i | 0.900235 | − | 0.264333i | ||||
\(587\) | −1.11372 | − | 3.79298i | −0.0459681 | − | 0.156553i | 0.933311 | − | 0.359070i | \(-0.116906\pi\) |
−0.979279 | + | 0.202517i | \(0.935088\pi\) | |||||||
\(588\) | −3.54129 | + | 6.03815i | −0.146040 | + | 0.249009i | ||||
\(589\) | −1.63752 | + | 0.235440i | −0.0674727 | + | 0.00970112i | ||||
\(590\) | −0.766902 | + | 0.664524i | −0.0315729 | + | 0.0273580i | ||||
\(591\) | −15.7295 | + | 7.18343i | −0.647026 | + | 0.295487i | ||||
\(592\) | 2.24386 | + | 3.49151i | 0.0922220 | + | 0.143500i | ||||
\(593\) | 28.7025 | + | 4.12680i | 1.17867 | + | 0.169467i | 0.703676 | − | 0.710521i | \(-0.251541\pi\) |
0.474995 | + | 0.879988i | \(0.342450\pi\) | |||||||
\(594\) | 3.03980 | + | 1.95356i | 0.124724 | + | 0.0801556i | ||||
\(595\) | 24.4400 | − | 0.498352i | 1.00194 | − | 0.0204304i | ||||
\(596\) | 0.858659 | − | 2.92432i | 0.0351720 | − | 0.119785i | ||||
\(597\) | − | 9.11301i | − | 0.372971i | ||||||
\(598\) | −0.576762 | + | 3.79003i | −0.0235856 | + | 0.154986i | ||||
\(599\) | 23.8509 | 0.974521 | 0.487261 | − | 0.873257i | \(-0.337996\pi\) | ||||
0.487261 | + | 0.873257i | \(0.337996\pi\) | |||||||
\(600\) | 0.481683 | − | 1.64046i | 0.0196646 | − | 0.0669715i | ||||
\(601\) | 21.5390 | + | 18.6637i | 0.878595 | + | 0.761307i | 0.972163 | − | 0.234306i | \(-0.0752818\pi\) |
−0.0935680 | + | 0.995613i | \(0.529827\pi\) | |||||||
\(602\) | 14.0326 | − | 2.31050i | 0.571928 | − | 0.0941689i | ||||
\(603\) | −3.54254 | − | 0.509340i | −0.144263 | − | 0.0207419i | ||||
\(604\) | 16.1042 | − | 10.3496i | 0.655271 | − | 0.421117i | ||||
\(605\) | 1.54984 | + | 3.39368i | 0.0630100 | + | 0.137973i | ||||
\(606\) | 12.1871 | + | 14.0647i | 0.495068 | + | 0.571339i | ||||
\(607\) | 19.1651 | − | 2.75552i | 0.777886 | − | 0.111843i | 0.258076 | − | 0.966125i | \(-0.416912\pi\) |
0.519810 | + | 0.854282i | \(0.326003\pi\) | |||||||
\(608\) | −0.509185 | + | 1.11496i | −0.0206502 | + | 0.0452176i | ||||
\(609\) | −0.335347 | + | 0.545972i | −0.0135890 | + | 0.0221239i | ||||
\(610\) | 1.97770 | − | 0.580704i | 0.0800746 | − | 0.0235120i | ||||
\(611\) | 1.47796 | − | 3.23628i | 0.0597919 | − | 0.130926i | ||||
\(612\) | 0.724897 | + | 5.04177i | 0.0293022 | + | 0.203801i | ||||
\(613\) | 33.0498 | − | 28.6378i | 1.33487 | − | 1.15667i | 0.360235 | − | 0.932861i | \(-0.382696\pi\) |
0.974633 | − | 0.223809i | \(-0.0718491\pi\) | |||||||
\(614\) | 17.5366 | − | 8.00869i | 0.707719 | − | 0.323204i | ||||
\(615\) | −5.80593 | + | 3.73124i | −0.234118 | + | 0.150458i | ||||
\(616\) | −5.33152 | − | 7.93551i | −0.214813 | − | 0.319731i | ||||
\(617\) | −1.25743 | + | 1.95660i | −0.0506222 | + | 0.0787696i | −0.865642 | − | 0.500663i | \(-0.833090\pi\) |
0.815020 | + | 0.579433i | \(0.196726\pi\) | |||||||
\(618\) | 1.48914 | + | 1.29035i | 0.0599020 | + | 0.0519054i | ||||
\(619\) | −13.1898 | − | 3.87287i | −0.530143 | − | 0.155664i | 0.00569694 | − | 0.999984i | \(-0.498187\pi\) |
−0.535839 | + | 0.844320i | \(0.680005\pi\) | |||||||
\(620\) | 2.44823i | 0.0983233i | ||||||||
\(621\) | 4.79567 | + | 0.0394236i | 0.192444 | + | 0.00158201i | ||||
\(622\) | 4.54332i | 0.182170i | ||||||||
\(623\) | −17.8053 | − | 36.9743i | −0.713355 | − | 1.48134i | ||||
\(624\) | 0.523479 | − | 0.604126i | 0.0209559 | − | 0.0241844i | ||||
\(625\) | −11.3807 | − | 7.31395i | −0.455229 | − | 0.292558i | ||||
\(626\) | −1.76387 | + | 12.2680i | −0.0704984 | + | 0.490327i | ||||
\(627\) | 3.72596 | − | 2.39453i | 0.148801 | − | 0.0956284i | ||||
\(628\) | −7.11569 | − | 15.5812i | −0.283947 | − | 0.621757i | ||||
\(629\) | 15.9768 | − | 13.8440i | 0.637038 | − | 0.551996i | ||||
\(630\) | −3.06819 | + | 3.69028i | −0.122240 | + | 0.147024i | ||||
\(631\) | 7.93216 | + | 3.62250i | 0.315774 | + | 0.144209i | 0.566997 | − | 0.823720i | \(-0.308105\pi\) |
−0.251222 | + | 0.967929i | \(0.580832\pi\) | |||||||
\(632\) | −1.98495 | − | 6.76014i | −0.0789573 | − | 0.268904i | ||||
\(633\) | 6.50934 | + | 22.1688i | 0.258723 | + | 0.881130i | ||||
\(634\) | −3.57296 | + | 7.82368i | −0.141900 | + | 0.310718i | ||||
\(635\) | −0.305912 | − | 2.12767i | −0.0121398 | − | 0.0844339i | ||||
\(636\) | −4.79577 | − | 5.53461i | −0.190165 | − | 0.219462i | ||||
\(637\) | −1.79402 | − | 5.30023i | −0.0710817 | − | 0.210003i | ||||
\(638\) | −0.473104 | − | 0.736165i | −0.0187304 | − | 0.0291450i | ||||
\(639\) | −2.09093 | + | 14.5427i | −0.0827158 | + | 0.575301i | ||||
\(640\) | 1.52596 | + | 0.980676i | 0.0603189 | + | 0.0387646i | ||||
\(641\) | 16.8477 | + | 14.5986i | 0.665445 | + | 0.576612i | 0.920704 | − | 0.390261i | \(-0.127615\pi\) |
−0.255259 | + | 0.966873i | \(0.582161\pi\) | |||||||
\(642\) | 17.4458 | + | 5.12254i | 0.688530 | + | 0.202171i | ||||
\(643\) | −12.1646 | −0.479727 | −0.239863 | − | 0.970807i | \(-0.577103\pi\) | ||||
−0.239863 | + | 0.970807i | \(0.577103\pi\) | |||||||
\(644\) | −11.6052 | − | 5.13020i | −0.457310 | − | 0.202158i | ||||
\(645\) | 9.75025 | 0.383916 | ||||||||
\(646\) | 5.99048 | + | 1.75896i | 0.235692 | + | 0.0692055i | ||||
\(647\) | 1.83417 | + | 1.58932i | 0.0721086 | + | 0.0624825i | 0.690169 | − | 0.723648i | \(-0.257536\pi\) |
−0.618061 | + | 0.786130i | \(0.712081\pi\) | |||||||
\(648\) | −0.841254 | − | 0.540641i | −0.0330476 | − | 0.0212384i | ||||
\(649\) | 0.287683 | − | 2.00088i | 0.0112925 | − | 0.0785412i | ||||
\(650\) | 0.738895 | + | 1.14974i | 0.0289818 | + | 0.0450966i | ||||
\(651\) | −1.41690 | + | 3.27782i | −0.0555327 | + | 0.128468i | ||||
\(652\) | 0.885625 | + | 1.02207i | 0.0346837 | + | 0.0400272i | ||||
\(653\) | −5.70968 | − | 39.7117i | −0.223437 | − | 1.55404i | −0.724897 | − | 0.688858i | \(-0.758112\pi\) |
0.501460 | − | 0.865181i | \(-0.332797\pi\) | |||||||
\(654\) | 0.0117222 | − | 0.0256681i | 0.000458376 | − | 0.00100370i | ||||
\(655\) | 4.41549 | + | 15.0378i | 0.172528 | + | 0.587575i | ||||
\(656\) | 1.07193 | + | 3.65065i | 0.0418517 | + | 0.142534i | ||||
\(657\) | −4.91588 | − | 2.24501i | −0.191787 | − | 0.0875860i | ||||
\(658\) | 9.05470 | + | 7.52829i | 0.352989 | + | 0.293483i | ||||
\(659\) | −8.20901 | + | 7.11315i | −0.319778 | + | 0.277089i | −0.799926 | − | 0.600098i | \(-0.795128\pi\) |
0.480149 | + | 0.877187i | \(0.340583\pi\) | |||||||
\(660\) | −2.72281 | − | 5.96212i | −0.105985 | − | 0.232075i | ||||
\(661\) | −31.3441 | + | 20.1436i | −1.21915 | + | 0.783497i | −0.982166 | − | 0.188018i | \(-0.939794\pi\) |
−0.236979 | + | 0.971515i | \(0.576157\pi\) | |||||||
\(662\) | 0.148620 | − | 1.03367i | 0.00577628 | − | 0.0401749i | ||||
\(663\) | −3.42533 | − | 2.20133i | −0.133029 | − | 0.0854925i | ||||
\(664\) | −7.26306 | + | 8.38201i | −0.281861 | + | 0.325285i | ||||
\(665\) | 2.55224 | + | 5.29995i | 0.0989717 | + | 0.205523i | ||||
\(666\) | 4.15037i | 0.160823i | ||||||||
\(667\) | −1.05247 | − | 0.491145i | −0.0407520 | − | 0.0190172i | ||||
\(668\) | − | 2.76335i | − | 0.106917i | ||||||
\(669\) | −4.66707 | − | 1.37037i | −0.180439 | − | 0.0529818i | ||||
\(670\) | 4.90628 | + | 4.25132i | 0.189546 | + | 0.164243i | ||||
\(671\) | −2.21987 | + | 3.45419i | −0.0856973 | + | 0.133348i | ||||
\(672\) | 1.47548 | + | 2.19612i | 0.0569178 | + | 0.0847173i | ||||
\(673\) | 30.5492 | − | 19.6328i | 1.17758 | − | 0.756787i | 0.202643 | − | 0.979253i | \(-0.435047\pi\) |
0.974941 | + | 0.222465i | \(0.0714104\pi\) | |||||||
\(674\) | −23.1121 | + | 10.5549i | −0.890244 | + | 0.406561i | ||||
\(675\) | 1.29212 | − | 1.11963i | 0.0497336 | − | 0.0430944i | ||||
\(676\) | −1.75915 | − | 12.2352i | −0.0676598 | − | 0.470584i | ||||
\(677\) | 20.9855 | − | 45.9519i | 0.806539 | − | 1.76607i | 0.184922 | − | 0.982753i | \(-0.440797\pi\) |
0.621617 | − | 0.783321i | \(-0.286476\pi\) | |||||||
\(678\) | −10.0157 | + | 2.94088i | −0.384651 | + | 0.112944i | ||||
\(679\) | 16.0828 | + | 9.87842i | 0.617203 | + | 0.379099i | ||||
\(680\) | 3.83818 | − | 8.40444i | 0.147187 | − | 0.322295i | ||||
\(681\) | −3.35342 | + | 0.482150i | −0.128504 | + | 0.0184760i | ||||
\(682\) | −3.19376 | − | 3.68580i | −0.122295 | − | 0.141137i | ||||
\(683\) | 1.40162 | + | 3.06911i | 0.0536313 | + | 0.117436i | 0.934551 | − | 0.355831i | \(-0.115802\pi\) |
−0.880919 | + | 0.473267i | \(0.843075\pi\) | |||||||
\(684\) | −1.03115 | + | 0.662678i | −0.0394269 | + | 0.0253381i | ||||
\(685\) | 33.1741 | + | 4.76971i | 1.26752 | + | 0.182241i | ||||
\(686\) | 18.4856 | − | 1.13207i | 0.705785 | − | 0.0432225i | ||||
\(687\) | 21.2188 | + | 18.3862i | 0.809548 | + | 0.701477i | ||||
\(688\) | 1.51438 | − | 5.15752i | 0.0577353 | − | 0.196629i | ||||
\(689\) | 5.85409 | 0.223023 | ||||||||
\(690\) | −7.27935 | − | 4.76316i | −0.277120 | − | 0.181330i | ||||
\(691\) | − | 25.2578i | − | 0.960854i | −0.877035 | − | 0.480427i | \(-0.840482\pi\) | ||
0.877035 | − | 0.480427i | \(-0.159518\pi\) | |||||||
\(692\) | 1.95324 | − | 6.65214i | 0.0742512 | − | 0.252876i | ||||
\(693\) | −0.194900 | − | 9.55822i | −0.00740363 | − | 0.363087i | ||||
\(694\) | −8.04420 | − | 5.16969i | −0.305354 | − | 0.196239i | ||||
\(695\) | −31.1795 | − | 4.48294i | −1.18271 | − | 0.170048i | ||||
\(696\) | 0.130930 | + | 0.203731i | 0.00496289 | + | 0.00772240i | ||||
\(697\) | 17.6287 | − | 8.05075i | 0.667734 | − | 0.304944i | ||||
\(698\) | 13.4170 | − | 11.6259i | 0.507842 | − | 0.440048i | ||||
\(699\) | −10.1243 | + | 1.45565i | −0.382934 | + | 0.0550577i | ||||
\(700\) | −4.31337 | + | 1.36263i | −0.163030 | + | 0.0515026i | ||||
\(701\) | 8.88049 | + | 30.2442i | 0.335412 | + | 1.14231i | 0.938686 | + | 0.344773i | \(0.112044\pi\) |
−0.603274 | + | 0.797534i | \(0.706138\pi\) | |||||||
\(702\) | 0.766994 | − | 0.225210i | 0.0289483 | − | 0.00849999i | ||||
\(703\) | 4.62749 | + | 2.11330i | 0.174529 | + | 0.0797048i | ||||
\(704\) | −3.57664 | + | 0.514243i | −0.134800 | + | 0.0193813i | ||||
\(705\) | 5.28684 | + | 6.10134i | 0.199114 | + | 0.229790i | ||||
\(706\) | 7.70350 | − | 3.51807i | 0.289925 | − | 0.132404i | ||||
\(707\) | 12.9060 | − | 47.5166i | 0.485378 | − | 1.78705i | ||||
\(708\) | −0.0796151 | + | 0.553735i | −0.00299212 | + | 0.0208106i | ||||
\(709\) | 12.8089 | − | 19.9310i | 0.481048 | − | 0.748525i | −0.512892 | − | 0.858453i | \(-0.671426\pi\) |
0.993940 | + | 0.109928i | \(0.0350621\pi\) | |||||||
\(710\) | 17.4524 | − | 20.1411i | 0.654976 | − | 0.755883i | ||||
\(711\) | 1.98495 | − | 6.76014i | 0.0744416 | − | 0.253525i | ||||
\(712\) | −15.5109 | −0.581297 | ||||||||
\(713\) | −6.19551 | − | 1.87462i | −0.232024 | − | 0.0702052i | ||||
\(714\) | 10.0028 | − | 9.03099i | 0.374345 | − | 0.337976i | ||||
\(715\) | 5.02720 | + | 1.47612i | 0.188007 | + | 0.0552038i | ||||
\(716\) | 6.17317 | − | 7.12422i | 0.230702 | − | 0.266244i | ||||
\(717\) | −3.17156 | + | 4.93504i | −0.118444 | + | 0.184303i | ||||
\(718\) | −23.2445 | − | 3.34206i | −0.867478 | − | 0.124725i | ||||
\(719\) | −4.13991 | − | 6.44183i | −0.154393 | − | 0.240240i | 0.755437 | − | 0.655221i | \(-0.227424\pi\) |
−0.909830 | + | 0.414981i | \(0.863788\pi\) | |||||||
\(720\) | 0.753527 | + | 1.64999i | 0.0280823 | + | 0.0614917i | ||||
\(721\) | 0.636568 | − | 5.17422i | 0.0237070 | − | 0.192698i | ||||
\(722\) | −2.49017 | − | 17.3195i | −0.0926744 | − | 0.644565i | ||||
\(723\) | −4.09191 | − | 1.86871i | −0.152180 | − | 0.0694982i | ||||
\(724\) | 15.0501 | − | 4.41912i | 0.559334 | − | 0.164235i | ||||
\(725\) | −0.397279 | + | 0.116652i | −0.0147546 | + | 0.00433234i | ||||
\(726\) | 1.87091 | + | 0.854418i | 0.0694361 | + | 0.0317104i | ||||
\(727\) | 4.02619 | + | 28.0028i | 0.149323 | + | 1.03857i | 0.917331 | + | 0.398125i | \(0.130339\pi\) |
−0.768008 | + | 0.640440i | \(0.778752\pi\) | |||||||
\(728\) | −2.09912 | − | 0.258248i | −0.0777985 | − | 0.00957130i | ||||
\(729\) | −0.415415 | − | 0.909632i | −0.0153857 | − | 0.0336901i | ||||
\(730\) | 5.29981 | + | 8.24667i | 0.196155 | + | 0.305223i | ||||
\(731\) | −27.1008 | − | 3.89650i | −1.00236 | − | 0.144117i | ||||
\(732\) | 0.614342 | − | 0.955935i | 0.0227067 | − | 0.0353324i | ||||
\(733\) | −9.64216 | + | 11.1276i | −0.356141 | + | 0.411009i | −0.905343 | − | 0.424681i | \(-0.860386\pi\) |
0.549202 | + | 0.835690i | \(0.314932\pi\) | |||||||
\(734\) | 2.05744 | + | 0.604119i | 0.0759416 | + | 0.0222985i | ||||
\(735\) | 12.6314 | + | 1.29319i | 0.465915 | + | 0.0477000i | ||||
\(736\) | −3.65014 | + | 3.11070i | −0.134546 | + | 0.114662i | ||||
\(737\) | −12.9323 | −0.476368 | ||||||||
\(738\) | −1.07193 | + | 3.65065i | −0.0394582 | + | 0.134382i | ||||
\(739\) | 6.35704 | − | 7.33641i | 0.233847 | − | 0.269874i | −0.626682 | − | 0.779275i | \(-0.715587\pi\) |
0.860529 | + | 0.509401i | \(0.170133\pi\) | |||||||
\(740\) | 4.07016 | − | 6.33330i | 0.149622 | − | 0.232817i | ||||
\(741\) | 0.139442 | − | 0.969841i | 0.00512253 | − | 0.0356280i | ||||
\(742\) | −5.07864 | + | 18.6983i | −0.186443 | + | 0.686437i | ||||
\(743\) | −25.0052 | + | 11.4195i | −0.917353 | + | 0.418941i | −0.817413 | − | 0.576052i | \(-0.804592\pi\) |
−0.0999404 | + | 0.994993i | \(0.531865\pi\) | |||||||
\(744\) | 0.883862 | + | 1.02003i | 0.0324040 | + | 0.0373962i | ||||
\(745\) | −5.47214 | + | 0.786775i | −0.200484 | + | 0.0288252i | ||||
\(746\) | 18.7302 | + | 8.55381i | 0.685763 | + | 0.313177i | ||||
\(747\) | −10.6417 | + | 3.12469i | −0.389361 | + | 0.114327i | ||||
\(748\) | 5.18539 | + | 17.6598i | 0.189597 | + | 0.645707i | ||||
\(749\) | −14.4911 | − | 45.8713i | −0.529495 | − | 1.67610i | ||||
\(750\) | −12.0470 | + | 1.73209i | −0.439893 | + | 0.0632471i | ||||
\(751\) | −4.94801 | + | 4.28747i | −0.180555 | + | 0.156452i | −0.740449 | − | 0.672112i | \(-0.765387\pi\) |
0.559894 | + | 0.828564i | \(0.310842\pi\) | |||||||
\(752\) | 4.04852 | − | 1.84890i | 0.147634 | − | 0.0674224i | ||||
\(753\) | −10.2859 | − | 16.0051i | −0.374838 | − | 0.583260i | ||||
\(754\) | −0.191618 | − | 0.0275505i | −0.00697833 | − | 0.00100333i | ||||
\(755\) | −29.2117 | − | 18.7732i | −1.06312 | − | 0.683227i | ||||
\(756\) | 0.0539378 | + | 2.64520i | 0.00196170 | + | 0.0962050i | ||||
\(757\) | 8.93559 | − | 30.4318i | 0.324769 | − | 1.10606i | −0.621696 | − | 0.783259i | \(-0.713556\pi\) |
0.946466 | − | 0.322805i | \(-0.104626\pi\) | |||||||
\(758\) | − | 10.2261i | − | 0.371430i | ||||||
\(759\) | 17.1726 | − | 2.32513i | 0.623328 | − | 0.0843970i | ||||
\(760\) | 2.22336 | 0.0806498 | ||||||||
\(761\) | 0.115425 | − | 0.393102i | 0.00418416 | − | 0.0142499i | −0.957374 | − | 0.288850i | \(-0.906727\pi\) |
0.961559 | + | 0.274600i | \(0.0885454\pi\) | |||||||
\(762\) | −0.895587 | − | 0.776031i | −0.0324437 | − | 0.0281126i | ||||
\(763\) | −0.0736663 | + | 0.0121293i | −0.00266690 | + | 0.000439110i | ||||
\(764\) | −1.84220 | − | 0.264869i | −0.0666486 | − | 0.00958262i | ||||
\(765\) | 7.77266 | − | 4.99519i | 0.281021 | − | 0.180601i | ||||
\(766\) | 7.45110 | + | 16.3156i | 0.269219 | + | 0.589508i | ||||
\(767\) | −0.292849 | − | 0.337966i | −0.0105742 | − | 0.0122032i | ||||
\(768\) | 0.989821 | − | 0.142315i | 0.0357171 | − | 0.00513534i | ||||
\(769\) | −12.1588 | + | 26.6241i | −0.438458 | + | 0.960090i | 0.553420 | + | 0.832902i | \(0.313322\pi\) |
−0.991879 | + | 0.127188i | \(0.959405\pi\) | |||||||
\(770\) | −9.07610 | + | 14.7766i | −0.327080 | + | 0.532512i | ||||
\(771\) | 14.1807 | − | 4.16382i | 0.510704 | − | 0.149956i | ||||
\(772\) | 1.97183 | − | 4.31771i | 0.0709679 | − | 0.155398i | ||||
\(773\) | 0.192205 | + | 1.33682i | 0.00691315 | + | 0.0480820i | 0.992986 | − | 0.118232i | \(-0.0377226\pi\) |
−0.986073 | + | 0.166314i | \(0.946814\pi\) | |||||||
\(774\) | 4.06235 | − | 3.52004i | 0.146018 | − | 0.126525i | ||||
\(775\) | −2.09906 | + | 0.958609i | −0.0754005 | + | 0.0344343i | ||||
\(776\) | 6.00136 | − | 3.85684i | 0.215436 | − | 0.138452i | ||||
\(777\) | 9.11472 | − | 6.12378i | 0.326989 | − | 0.219689i | ||||
\(778\) | 5.53778 | − | 8.61695i | 0.198539 | − | 0.308933i | ||||
\(779\) | 3.52452 | + | 3.05401i | 0.126279 | + | 0.109421i | ||||
\(780\) | −1.39126 | − | 0.408511i | −0.0498151 | − | 0.0146270i | ||||
\(781\) | 53.0893i | 1.89968i | ||||||||
\(782\) | 18.3294 | + | 16.1482i | 0.655459 | + | 0.577460i | ||||
\(783\) | 0.242175i | 0.00865465i | ||||||||
\(784\) | 2.64592 | − | 6.48067i | 0.0944972 | − | 0.231453i | ||||
\(785\) | −20.3470 | + | 23.4817i | −0.726216 | + | 0.838098i | ||||
\(786\) | 7.26863 | + | 4.67126i | 0.259263 | + | 0.166618i | ||||
\(787\) | 0.941998 | − | 6.55174i | 0.0335786 | − | 0.233544i | −0.966120 | − | 0.258093i | \(-0.916906\pi\) |
0.999699 | + | 0.0245489i | \(0.00781494\pi\) | |||||||
\(788\) | 14.5471 | − | 9.34885i | 0.518219 | − | 0.333039i | ||||
\(789\) | −9.79793 | − | 21.4545i | −0.348816 | − | 0.763800i | ||||
\(790\) | −9.65847 | + | 8.36911i | −0.343633 | + | 0.297760i | ||||
\(791\) | 21.2365 | + | 17.6565i | 0.755084 | + | 0.627795i | ||||
\(792\) | −3.28688 | − | 1.50107i | −0.116794 | − | 0.0533381i | ||||
\(793\) | 0.255911 | + | 0.871551i | 0.00908765 | + | 0.0309497i | ||||
\(794\) | 4.78694 | + | 16.3028i | 0.169882 | + | 0.578565i | ||||
\(795\) | −5.51834 | + | 12.0835i | −0.195715 | + | 0.428557i | ||||
\(796\) | 1.29692 | + | 9.02025i | 0.0459680 | + | 0.319714i | ||||
\(797\) | 27.6080 | + | 31.8613i | 0.977925 | + | 1.12859i | 0.991686 | + | 0.128681i | \(0.0410742\pi\) |
−0.0137609 | + | 0.999905i | \(0.504380\pi\) | |||||||
\(798\) | 2.97676 | + | 1.28676i | 0.105376 | + | 0.0455508i | ||||
\(799\) | −12.2565 | − | 19.0715i | −0.433603 | − | 0.674700i | ||||
\(800\) | −0.243318 | + | 1.69231i | −0.00860259 | + | 0.0598323i | ||||
\(801\) | −13.0486 | − | 8.38585i | −0.461051 | − | 0.296299i | ||||
\(802\) | 9.08416 | + | 7.87147i | 0.320773 | + | 0.277951i | ||||
\(803\) | −18.7368 | − | 5.50162i | −0.661207 | − | 0.194148i | ||||
\(804\) | 3.57897 | 0.126220 | ||||||||
\(805\) | 0.280040 | + | 23.0143i | 0.00987012 | + | 0.811147i | ||||
\(806\) | −1.07891 | −0.0380030 | ||||||||
\(807\) | 22.6576 | + | 6.65288i | 0.797586 | + | 0.234193i | ||||
\(808\) | −14.0647 | − | 12.1871i | −0.494794 | − | 0.428741i | ||||
\(809\) | −20.2372 | − | 13.0057i | −0.711502 | − | 0.457254i | 0.134170 | − | 0.990958i | \(-0.457163\pi\) |
−0.845671 | + | 0.533704i | \(0.820800\pi\) | |||||||
\(810\) | −0.258147 | + | 1.79545i | −0.00907036 | + | 0.0630857i | ||||
\(811\) | 7.14293 | + | 11.1146i | 0.250822 | + | 0.390287i | 0.943718 | − | 0.330751i | \(-0.107302\pi\) |
−0.692896 | + | 0.721037i | \(0.743666\pi\) | |||||||
\(812\) | 0.254234 | − | 0.588139i | 0.00892187 | − | 0.0206396i | ||||
\(813\) | 2.84600 | + | 3.28446i | 0.0998135 | + | 0.115191i | ||||
\(814\) | 2.13430 | + | 14.8444i | 0.0748070 | + | 0.520294i | ||||
\(815\) | 1.01906 | − | 2.23143i | 0.0356961 | − | 0.0781636i | ||||
\(816\) | −1.43504 | − | 4.88729i | −0.0502364 | − | 0.171089i | ||||
\(817\) | −1.85622 | − | 6.32171i | −0.0649409 | − | 0.221168i | ||||
\(818\) | −27.1088 | − | 12.3802i | −0.947838 | − | 0.432863i | ||||
\(819\) | −1.62627 | − | 1.35212i | −0.0568265 | − | 0.0472469i | ||||
\(820\) | 5.21582 | − | 4.51953i | 0.182144 | − | 0.157829i | ||||
\(821\) | 0.0795841 | + | 0.174265i | 0.00277750 | + | 0.00608188i | 0.911016 | − | 0.412372i | \(-0.135300\pi\) |
−0.908238 | + | 0.418454i | \(0.862572\pi\) | |||||||
\(822\) | 15.5436 | − | 9.98927i | 0.542146 | − | 0.348416i | ||||
\(823\) | −0.525808 | + | 3.65708i | −0.0183285 | + | 0.127478i | −0.996931 | − | 0.0782806i | \(-0.975057\pi\) |
0.978603 | + | 0.205758i | \(0.0659661\pi\) | |||||||
\(824\) | −1.65762 | − | 1.06529i | −0.0577459 | − | 0.0371110i | ||||
\(825\) | 4.04567 | − | 4.66896i | 0.140852 | − | 0.162552i | ||||
\(826\) | 1.33354 | − | 0.642180i | 0.0463998 | − | 0.0223443i | ||||
\(827\) | − | 29.7617i | − | 1.03492i | −0.855709 | − | 0.517458i | \(-0.826878\pi\) | ||
0.855709 | − | 0.517458i | \(-0.173122\pi\) | |||||||
\(828\) | −4.75247 | + | 0.643473i | −0.165160 | + | 0.0223622i | ||||
\(829\) | − | 1.43804i | − | 0.0499450i | −0.999688 | − | 0.0249725i | \(-0.992050\pi\) | ||
0.999688 | − | 0.0249725i | \(-0.00794983\pi\) | |||||||
\(830\) | 19.3032 | + | 5.66793i | 0.670023 | + | 0.196737i | ||||
\(831\) | 8.07534 | + | 6.99732i | 0.280130 | + | 0.242734i | ||||
\(832\) | −0.432174 | + | 0.672476i | −0.0149829 | + | 0.0233139i | ||||
\(833\) | −34.5921 | − | 8.64231i | −1.19854 | − | 0.299438i | ||||
\(834\) | −14.6091 | + | 9.38868i | −0.505871 | + | 0.325104i | ||||
\(835\) | −4.55951 | + | 2.08226i | −0.157789 | + | 0.0720596i | ||||
\(836\) | −3.34726 | + | 2.90042i | −0.115767 | + | 0.100313i | ||||
\(837\) | 0.192082 | + | 1.33596i | 0.00663931 | + | 0.0461774i | ||||
\(838\) | 10.9860 | − | 24.0560i | 0.379506 | − | 0.831002i | ||||
\(839\) | −38.8846 | + | 11.4175i | −1.34244 | + | 0.394177i | −0.872541 | − | 0.488540i | \(-0.837529\pi\) |
−0.469904 | + | 0.882718i | \(0.655711\pi\) | |||||||
\(840\) | 2.51178 | − | 4.08937i | 0.0866646 | − | 0.141097i | ||||
\(841\) | −12.0227 | + | 26.3260i | −0.414575 | + | 0.907792i | ||||
\(842\) | −21.4815 | + | 3.08858i | −0.740303 | + | 0.106439i | ||||
\(843\) | −8.71174 | − | 10.0539i | −0.300048 | − | 0.346274i | ||||
\(844\) | −9.59803 | − | 21.0168i | −0.330378 | − | 0.723426i | ||||
\(845\) | −18.8624 | + | 12.1221i | −0.648887 | + | 0.417014i | ||||
\(846\) | 4.40542 | + | 0.633404i | 0.151462 | + | 0.0217769i | ||||
\(847\) | −0.884087 | − | 5.36944i | −0.0303776 | − | 0.184496i | ||||
\(848\) | 5.53461 | + | 4.79577i | 0.190059 | + | 0.164687i | ||||
\(849\) | 0.990574 | − | 3.37358i | 0.0339964 | − | 0.115781i | ||||
\(850\) | 8.70863 | 0.298704 | ||||||||
\(851\) | 12.9105 | + | 15.1494i | 0.442568 | + | 0.519316i | ||||
\(852\) | − | 14.6923i | − | 0.503349i | ||||||
\(853\) | −8.15012 | + | 27.7568i | −0.279055 | + | 0.950374i | 0.694034 | + | 0.719943i | \(0.255832\pi\) |
−0.973089 | + | 0.230431i | \(0.925986\pi\) | |||||||
\(854\) | −3.00580 | + | 0.0612907i | −0.102856 | + | 0.00209732i | ||||
\(855\) | 1.87041 | + | 1.20204i | 0.0639667 | + | 0.0411089i | ||||
\(856\) | −17.9972 | − | 2.58761i | −0.615132 | − | 0.0884427i | ||||
\(857\) | −19.0693 | − | 29.6724i | −0.651395 | − | 1.01359i | −0.997163 | − | 0.0752710i | \(-0.976018\pi\) |
0.345768 | − | 0.938320i | \(-0.387619\pi\) | |||||||
\(858\) | 2.62745 | − | 1.19991i | 0.0896995 | − | 0.0409644i | ||||
\(859\) | −26.7811 | + | 23.2060i | −0.913759 | + | 0.791777i | −0.978526 | − | 0.206123i | \(-0.933915\pi\) |
0.0647667 | + | 0.997900i | \(0.479370\pi\) | |||||||
\(860\) | −9.65100 | + | 1.38760i | −0.329096 | + | 0.0473169i | ||||
\(861\) | 9.59888 | − | 3.03237i | 0.327129 | − | 0.103343i | ||||
\(862\) | −0.740146 | − | 2.52070i | −0.0252095 | − | 0.0858555i | ||||
\(863\) | −22.7652 | + | 6.68446i | −0.774936 | + | 0.227542i | −0.645207 | − | 0.764008i | \(-0.723229\pi\) |
−0.129729 | + | 0.991549i | \(0.541411\pi\) | |||||||
\(864\) | 0.909632 | + | 0.415415i | 0.0309463 | + | 0.0141327i | ||||
\(865\) | −12.4478 | + | 1.78973i | −0.423238 | + | 0.0608525i | ||||
\(866\) | 1.89746 | + | 2.18978i | 0.0644782 | + | 0.0744118i | ||||
\(867\) | −8.13658 | + | 3.71585i | −0.276333 | + | 0.126197i | ||||
\(868\) | 0.935995 | − | 3.44611i | 0.0317697 | − | 0.116968i | ||||
\(869\) | 3.62311 | − | 25.1993i | 0.122906 | − | 0.854828i | ||||
\(870\) | 0.237496 | − | 0.369550i | 0.00805186 | − | 0.0125289i | ||||
\(871\) | −1.87351 | + | 2.16215i | −0.0634816 | + | 0.0732616i | ||||
\(872\) | −0.00794996 | + | 0.0270751i | −0.000269220 | + | 0.000916878i | ||||
\(873\) | 7.13383 | 0.241444 | ||||||||
\(874\) | −1.70244 | + | 5.62646i | −0.0575859 | + | 0.190318i | ||||
\(875\) | 21.5789 | + | 23.9010i | 0.729501 | + | 0.808000i | ||||
\(876\) | 5.18534 | + | 1.52255i | 0.175196 | + | 0.0514423i | ||||
\(877\) | −15.5216 | + | 17.9129i | −0.524126 | + | 0.604874i | −0.954659 | − | 0.297701i | \(-0.903780\pi\) |
0.430533 | + | 0.902575i | \(0.358326\pi\) | |||||||
\(878\) | 13.7773 | − | 21.4379i | 0.464962 | − | 0.723495i | ||||
\(879\) | −22.4812 | − | 3.23231i | −0.758272 | − | 0.109023i | ||||
\(880\) | 3.54359 | + | 5.51394i | 0.119454 | + | 0.185875i | ||||
\(881\) | 11.2323 | + | 24.5953i | 0.378426 | + | 0.828638i | 0.999010 | + | 0.0444972i | \(0.0141686\pi\) |
−0.620583 | + | 0.784140i | \(0.713104\pi\) | |||||||
\(882\) | 5.72961 | − | 4.02139i | 0.192926 | − | 0.135407i | ||||
\(883\) | −7.82562 | − | 54.4284i | −0.263353 | − | 1.83166i | −0.507178 | − | 0.861842i | \(-0.669311\pi\) |
0.243824 | − | 0.969819i | \(-0.421598\pi\) | |||||||
\(884\) | 3.70375 | + | 1.69145i | 0.124571 | + | 0.0568895i | ||||
\(885\) | 0.973652 | − | 0.285890i | 0.0327290 | − | 0.00961009i | ||||
\(886\) | −35.3699 | + | 10.3855i | −1.18827 | + | 0.348909i | ||||
\(887\) | −41.7340 | − | 19.0593i | −1.40129 | − | 0.639949i | −0.435719 | − | 0.900083i | \(-0.643506\pi\) |
−0.965573 | + | 0.260134i | \(0.916233\pi\) | |||||||
\(888\) | −0.590659 | − | 4.10812i | −0.0198212 | − | 0.137860i | ||||
\(889\) | −0.382839 | + | 3.11184i | −0.0128400 | + | 0.104368i | ||||
\(890\) | 11.6879 | + | 25.5930i | 0.391780 | + | 0.857878i | ||||
\(891\) | −1.95356 | − | 3.03980i | −0.0654467 | − | 0.101837i | ||||
\(892\) | 4.81459 | + | 0.692233i | 0.161204 | + | 0.0231777i | ||||
\(893\) | 2.94940 | − | 4.58935i | 0.0986978 | − | 0.153577i | ||||
\(894\) | −1.99587 | + | 2.30336i | −0.0667519 | + | 0.0770358i | ||||
\(895\) | −16.4066 | − | 4.81740i | −0.548411 | − | 0.161028i | ||||
\(896\) | −1.77300 | − | 1.96379i | −0.0592318 | − | 0.0656056i | ||||
\(897\) | 2.09908 | − | 3.20793i | 0.0700861 | − | 0.107110i | ||||
\(898\) | 20.8035 | 0.694221 | ||||||||
\(899\) | 0.0920880 | − | 0.313623i | 0.00307131 | − | 0.0104599i | ||||
\(900\) | −1.11963 | + | 1.29212i | −0.0373209 | + | 0.0430706i | ||||
\(901\) | 20.1671 | − | 31.3807i | 0.671865 | − | 1.04544i | ||||
\(902\) | −1.95657 | + | 13.6083i | −0.0651468 | + | 0.453106i | ||||
\(903\) | −13.7244 | − | 3.72766i | −0.456718 | − | 0.124049i | ||||
\(904\) | 9.49524 | − | 4.33633i | 0.315807 | − | 0.144224i | ||||
\(905\) | −18.6322 | − | 21.5027i | −0.619356 | − | 0.714774i | ||||
\(906\) | −18.9483 | + | 2.72435i | −0.629514 | + | 0.0905105i | ||||
\(907\) | 35.5936 | + | 16.2550i | 1.18187 | + | 0.539740i | 0.906749 | − | 0.421671i | \(-0.138556\pi\) |
0.275116 | + | 0.961411i | \(0.411284\pi\) | |||||||
\(908\) | 3.25067 | − | 0.954484i | 0.107877 | − | 0.0316757i | ||||
\(909\) | −5.24311 | − | 17.8564i | −0.173903 | − | 0.592260i | ||||
\(910\) | 1.15564 | + | 3.65813i | 0.0383089 | + | 0.121266i | ||||
\(911\) | −18.1953 | + | 2.61609i | −0.602837 | + | 0.0866749i | −0.436975 | − | 0.899474i | \(-0.643950\pi\) |
−0.165863 | + | 0.986149i | \(0.553041\pi\) | |||||||
\(912\) | 0.926342 | − | 0.802680i | 0.0306743 | − | 0.0265794i | ||||
\(913\) | −36.4548 | + | 16.6483i | −1.20648 | + | 0.550979i | ||||
\(914\) | 5.47870 | + | 8.52503i | 0.181219 | + | 0.281983i | ||||
\(915\) | −2.04021 | − | 0.293338i | −0.0674473 | − | 0.00969745i | ||||
\(916\) | −23.6194 | − | 15.1793i | −0.780409 | − | 0.501538i | ||||
\(917\) | −0.466035 | − | 22.8552i | −0.0153898 | − | 0.754744i | ||||
\(918\) | 1.43504 | − | 4.88729i | 0.0473633 | − | 0.161305i | ||||
\(919\) | − | 45.0275i | − | 1.48532i | −0.669669 | − | 0.742659i | \(-0.733564\pi\) | ||
0.669669 | − | 0.742659i | \(-0.266436\pi\) | |||||||
\(920\) | 7.88312 | + | 3.67872i | 0.259899 | + | 0.121284i | ||||
\(921\) | −19.2788 | −0.635257 | ||||||||
\(922\) | 11.5003 | − | 39.1665i | 0.378743 | − | 1.28988i | ||||
\(923\) | 8.87599 | + | 7.69109i | 0.292157 | + | 0.253155i | ||||
\(924\) | 1.55319 | + | 9.43319i | 0.0510963 | + | 0.310329i | ||||
\(925\) | 7.02372 | + | 1.00986i | 0.230938 | + | 0.0332039i | ||||
\(926\) | −23.5697 | + | 15.1473i | −0.774549 | + | 0.497773i | ||||
\(927\) | −0.818540 | − | 1.79235i | −0.0268844 | − | 0.0588686i | ||||
\(928\) | −0.158591 | − | 0.183024i | −0.00520601 | − | 0.00600806i | ||||
\(929\) | −41.4248 | + | 5.95598i | −1.35910 | + | 0.195410i | −0.783028 | − | 0.621987i | \(-0.786326\pi\) |
−0.576075 | + | 0.817397i | \(0.695417\pi\) | |||||||
\(930\) | 1.01703 | − | 2.22699i | 0.0333498 | − | 0.0730258i | ||||
\(931\) | −1.56626 | − | 8.43592i | −0.0513322 | − | 0.276476i | ||||
\(932\) | 9.81404 | − | 2.88166i | 0.321470 | − | 0.0943920i | ||||
\(933\) | 1.88736 | − | 4.13275i | 0.0617895 | − | 0.135300i | ||||
\(934\) | 1.82201 | + | 12.6723i | 0.0596179 | + | 0.414651i | ||||
\(935\) | 25.2313 | − | 21.8630i | 0.825150 | − | 0.714997i | ||||
\(936\) | −0.727136 | + | 0.332072i | −0.0237672 | + | 0.0108541i | ||||
\(937\) | −31.4818 | + | 20.2321i | −1.02847 | + | 0.660955i | −0.942108 | − | 0.335309i | \(-0.891159\pi\) |
−0.0863577 | + | 0.996264i | \(0.527523\pi\) | |||||||
\(938\) | −5.28069 | − | 7.85986i | −0.172421 | − | 0.256634i | ||||
\(939\) | 6.70077 | − | 10.4266i | 0.218671 | − | 0.340259i | ||||
\(940\) | −6.10134 | − | 5.28684i | −0.199004 | − | 0.172438i | ||||
\(941\) | 2.24442 | + | 0.659021i | 0.0731660 | + | 0.0214835i | 0.318111 | − | 0.948054i | \(-0.396952\pi\) |
−0.244945 | + | 0.969537i | \(0.578770\pi\) | |||||||
\(942\) | 17.1291i | 0.558097i | ||||||||
\(943\) | 7.44339 | + | 16.6598i | 0.242390 | + | 0.542519i | ||||
\(944\) | − | 0.559429i | − | 0.0182079i | ||||||
\(945\) | 4.32392 | − | 2.08223i | 0.140657 | − | 0.0677349i | ||||
\(946\) | 12.7194 | − | 14.6789i | 0.413543 | − | 0.477254i | ||||
\(947\) | 14.9059 | + | 9.57947i | 0.484378 | + | 0.311291i | 0.759941 | − | 0.649992i | \(-0.225228\pi\) |
−0.275563 | + | 0.961283i | \(0.588864\pi\) | |||||||
\(948\) | −1.00268 | + | 6.97382i | −0.0325656 | + | 0.226499i | ||||
\(949\) | −3.63423 | + | 2.33558i | −0.117972 | + | 0.0758160i | ||||
\(950\) | 0.870562 | + | 1.90626i | 0.0282448 | + | 0.0618474i | ||||
\(951\) | 6.50015 | − | 5.63241i | 0.210782 | − | 0.182643i | ||||
\(952\) | −8.61572 | + | 10.3626i | −0.279237 | + | 0.335854i | ||||
\(953\) | 11.3859 | + | 5.19977i | 0.368826 | + | 0.168437i | 0.591201 | − | 0.806524i | \(-0.298654\pi\) |
−0.222376 | + | 0.974961i | \(0.571381\pi\) | |||||||
\(954\) | 2.06322 | + | 7.02670i | 0.0667994 | + | 0.227498i | ||||
\(955\) | 0.951118 | + | 3.23921i | 0.0307774 | + | 0.104818i | ||||
\(956\) | 2.43695 | − | 5.33617i | 0.0788165 | − | 0.172584i | ||||
\(957\) | 0.124537 | + | 0.866174i | 0.00402571 | + | 0.0279994i | ||||
\(958\) | −7.14810 | − | 8.24934i | −0.230945 | − | 0.266524i | ||||
\(959\) | −44.8719 | − | 19.3967i | −1.44899 | − | 0.626353i | ||||
\(960\) | −0.980676 | − | 1.52596i | −0.0316512 | − | 0.0492502i | ||||
\(961\) | −4.15251 | + | 28.8813i | −0.133952 | + | 0.931656i | ||||
\(962\) | 2.79102 | + | 1.79368i | 0.0899862 | + | 0.0578306i | ||||
\(963\) | −13.7413 | − | 11.9069i | −0.442806 | − | 0.383694i | ||||
\(964\) | 4.31621 | + | 1.26735i | 0.139016 | + | 0.0408187i | ||||
\(965\) | −8.61004 | −0.277167 | ||||||||
\(966\) | 8.42531 | + | 9.48758i | 0.271080 | + | 0.305258i | ||||
\(967\) | 38.3499 | 1.23325 | 0.616625 | − | 0.787257i | \(-0.288499\pi\) | ||||
0.616625 | + | 0.787257i | \(0.288499\pi\) | |||||||
\(968\) | −1.97347 | − | 0.579462i | −0.0634296 | − | 0.0186246i | ||||
\(969\) | −4.71843 | − | 4.08854i | −0.151578 | − | 0.131343i | ||||
\(970\) | −10.8860 | − | 6.99598i | −0.349527 | − | 0.224627i | ||||
\(971\) | −4.17425 | + | 29.0326i | −0.133958 | + | 0.931699i | 0.806365 | + | 0.591418i | \(0.201431\pi\) |
−0.940324 | + | 0.340282i | \(0.889478\pi\) | |||||||
\(972\) | 0.540641 | + | 0.841254i | 0.0173411 | + | 0.0269832i | ||||
\(973\) | 42.1741 | + | 18.2305i | 1.35204 | + | 0.584444i | ||||
\(974\) | −20.6775 | − | 23.8631i | −0.662550 | − | 0.764624i | ||||
\(975\) | −0.194502 | − | 1.35279i | −0.00622905 | − | 0.0433240i | ||||
\(976\) | −0.472045 | + | 1.03363i | −0.0151098 | + | 0.0330858i | ||||
\(977\) | 2.88394 | + | 9.82181i | 0.0922655 | + | 0.314227i | 0.992675 | − | 0.120816i | \(-0.0385511\pi\) |
−0.900409 | + | 0.435044i | \(0.856733\pi\) | |||||||
\(978\) | −0.381011 | − | 1.29761i | −0.0121834 | − | 0.0414928i | ||||
\(979\) | −50.9826 | − | 23.2830i | −1.62941 | − | 0.744127i | ||||
\(980\) | −12.6868 | + | 0.517605i | −0.405266 | + | 0.0165343i | ||||
\(981\) | −0.0213258 | + | 0.0184789i | −0.000680882 | + | 0.000589987i | ||||
\(982\) | 1.00387 | + | 2.19817i | 0.0320348 | + | 0.0701463i | ||||
\(983\) | −46.6251 | + | 29.9641i | −1.48711 | + | 0.955708i | −0.490675 | + | 0.871343i | \(0.663250\pi\) |
−0.996435 | + | 0.0843650i | \(0.973114\pi\) | |||||||
\(984\) | 0.541475 | − | 3.76604i | 0.0172616 | − | 0.120057i | ||||
\(985\) | −26.3872 | − | 16.9580i | −0.840766 | − | 0.540327i | ||||
\(986\) | −0.807803 | + | 0.932254i | −0.0257257 | + | 0.0296890i | ||||
\(987\) | −5.10908 | − | 10.6094i | −0.162624 | − | 0.337702i | ||||
\(988\) | 0.979814i | 0.0311720i | ||||||||
\(989\) | 3.87834 | − | 25.4854i | 0.123324 | − | 0.810388i | ||||
\(990\) | 6.55443i | 0.208313i | ||||||||
\(991\) | −46.5165 | − | 13.6585i | −1.47765 | − | 0.433876i | −0.559070 | − | 0.829120i | \(-0.688842\pi\) |
−0.918576 | + | 0.395244i | \(0.870660\pi\) | |||||||
\(992\) | −1.02003 | − | 0.883862i | −0.0323860 | − | 0.0280627i | ||||
\(993\) | −0.564593 | + | 0.878524i | −0.0179168 | + | 0.0278791i | ||||
\(994\) | −32.2660 | + | 21.6781i | −1.02342 | + | 0.687589i | ||||
\(995\) | 13.9061 | − | 8.93691i | 0.440853 | − | 0.283319i | ||||
\(996\) | 10.0887 | − | 4.60737i | 0.319673 | − | 0.145990i | ||||
\(997\) | 8.61376 | − | 7.46386i | 0.272800 | − | 0.236383i | −0.507706 | − | 0.861530i | \(-0.669507\pi\) |
0.780507 | + | 0.625147i | \(0.214961\pi\) | |||||||
\(998\) | −2.04412 | − | 14.2171i | −0.0647054 | − | 0.450036i | ||||
\(999\) | 1.72412 | − | 3.77531i | 0.0545489 | − | 0.119445i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 966.2.s.b.97.6 | ✓ | 160 | |
7.6 | odd | 2 | inner | 966.2.s.b.97.11 | yes | 160 | |
23.14 | odd | 22 | inner | 966.2.s.b.727.11 | yes | 160 | |
161.83 | even | 22 | inner | 966.2.s.b.727.6 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.b.97.6 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.s.b.97.11 | yes | 160 | 7.6 | odd | 2 | inner | |
966.2.s.b.727.6 | yes | 160 | 161.83 | even | 22 | inner | |
966.2.s.b.727.11 | yes | 160 | 23.14 | odd | 22 | inner |