Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,3,Mod(125,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 10]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.125");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.x (of order \(12\), degree \(4\), not 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: | \(11.7711474204\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 144) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 125.1 | ||
Character | \(\chi\) | \(=\) | 432.125 |
Dual form | 432.3.x.a.197.1 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.99910 | − | 0.0600540i | −0.999549 | − | 0.0300270i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.99279 | + | 0.240108i | 0.998197 | + | 0.0600269i | ||||
\(5\) | −7.92852 | + | 2.12444i | −1.58570 | + | 0.424888i | −0.940686 | − | 0.339278i | \(-0.889817\pi\) |
−0.645019 | + | 0.764167i | \(0.723151\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −8.42400 | + | 4.86360i | −1.20343 | + | 0.694800i | −0.961316 | − | 0.275449i | \(-0.911174\pi\) |
−0.242113 | + | 0.970248i | \(0.577840\pi\) | |||||||
\(8\) | −7.96755 | − | 0.719782i | −0.995944 | − | 0.0899727i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 15.9775 | − | 3.77083i | 1.59775 | − | 0.377083i | ||||
\(11\) | −4.48604 | + | 16.7421i | −0.407822 | + | 1.52201i | 0.390970 | + | 0.920403i | \(0.372140\pi\) |
−0.798792 | + | 0.601607i | \(0.794527\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.61707 | + | 0.701241i | −0.201313 | + | 0.0539416i | −0.358066 | − | 0.933696i | \(-0.616564\pi\) |
0.156754 | + | 0.987638i | \(0.449897\pi\) | |||||||
\(14\) | 17.1325 | − | 9.21691i | 1.22375 | − | 0.658351i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 15.8847 | + | 1.91740i | 0.992794 | + | 0.119837i | ||||
\(17\) | − | 11.6490i | − | 0.685233i | −0.939475 | − | 0.342616i | \(-0.888687\pi\) | ||
0.939475 | − | 0.342616i | \(-0.111313\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.19978 | − | 1.19978i | −0.0631465 | − | 0.0631465i | 0.674828 | − | 0.737975i | \(-0.264218\pi\) |
−0.737975 | + | 0.674828i | \(0.764218\pi\) | |||||||
\(20\) | −32.1670 | + | 6.57874i | −1.60835 | + | 0.328937i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 9.97346 | − | 33.1997i | 0.453339 | − | 1.50908i | ||||
\(23\) | 16.5761 | − | 28.7106i | 0.720700 | − | 1.24829i | −0.240020 | − | 0.970768i | \(-0.577154\pi\) |
0.960720 | − | 0.277521i | \(-0.0895128\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 36.6976 | − | 21.1874i | 1.46790 | − | 0.847495i | ||||
\(26\) | 5.27388 | − | 1.24468i | 0.202842 | − | 0.0478725i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −34.8030 | + | 17.3966i | −1.24296 | + | 0.621309i | ||||
\(29\) | 7.75438 | + | 2.07778i | 0.267392 | + | 0.0716476i | 0.390024 | − | 0.920805i | \(-0.372467\pi\) |
−0.122632 | + | 0.992452i | \(0.539133\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −12.2003 | + | 21.1316i | −0.393559 | + | 0.681664i | −0.992916 | − | 0.118818i | \(-0.962090\pi\) |
0.599357 | + | 0.800482i | \(0.295423\pi\) | |||||||
\(32\) | −31.6399 | − | 4.78701i | −0.988748 | − | 0.149594i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.699566 | + | 23.2874i | −0.0205755 | + | 0.684924i | ||||
\(35\) | 56.4574 | − | 56.4574i | 1.61307 | − | 1.61307i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −18.8900 | + | 18.8900i | −0.510540 | + | 0.510540i | −0.914692 | − | 0.404152i | \(-0.867567\pi\) |
0.404152 | + | 0.914692i | \(0.367567\pi\) | |||||||
\(38\) | 2.32643 | + | 2.47054i | 0.0612219 | + | 0.0650142i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 64.7001 | − | 11.2198i | 1.61750 | − | 0.280495i | ||||
\(41\) | 2.81364 | − | 4.87337i | 0.0686255 | − | 0.118863i | −0.829671 | − | 0.558253i | \(-0.811472\pi\) |
0.898296 | + | 0.439390i | \(0.144805\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −24.9252 | − | 6.67869i | −0.579656 | − | 0.155318i | −0.0429346 | − | 0.999078i | \(-0.513671\pi\) |
−0.536721 | + | 0.843760i | \(0.680337\pi\) | |||||||
\(44\) | −21.9317 | + | 65.7706i | −0.498448 | + | 1.49479i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −34.8614 | + | 56.3999i | −0.757857 | + | 1.22609i | ||||
\(47\) | −8.51428 | + | 4.91572i | −0.181155 | + | 0.104590i | −0.587835 | − | 0.808981i | \(-0.700020\pi\) |
0.406680 | + | 0.913571i | \(0.366686\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 22.8092 | − | 39.5066i | 0.465493 | − | 0.806258i | ||||
\(50\) | −74.6345 | + | 40.1518i | −1.49269 | + | 0.803036i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −10.6178 | + | 2.17153i | −0.204188 | + | 0.0417601i | ||||
\(53\) | −26.1790 | − | 26.1790i | −0.493944 | − | 0.493944i | 0.415603 | − | 0.909546i | \(-0.363571\pi\) |
−0.909546 | + | 0.415603i | \(0.863571\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 142.271i | − | 2.58674i | ||||||
\(56\) | 70.6194 | − | 32.6875i | 1.26106 | − | 0.583706i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −15.3770 | − | 4.61937i | −0.265121 | − | 0.0796443i | ||||
\(59\) | 80.0226 | − | 21.4420i | 1.35632 | − | 0.363424i | 0.493853 | − | 0.869545i | \(-0.335588\pi\) |
0.862462 | + | 0.506122i | \(0.168921\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.70562 | − | 25.0257i | 0.109928 | − | 0.410257i | −0.888929 | − | 0.458044i | \(-0.848550\pi\) |
0.998858 | + | 0.0477868i | \(0.0152168\pi\) | |||||||
\(62\) | 25.6587 | − | 41.5114i | 0.413850 | − | 0.669539i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 62.9638 | + | 11.4698i | 0.983810 | + | 0.179216i | ||||
\(65\) | 19.2597 | − | 11.1196i | 0.296304 | − | 0.171071i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 100.615 | − | 26.9596i | 1.50171 | − | 0.402383i | 0.588039 | − | 0.808833i | \(-0.299900\pi\) |
0.913673 | + | 0.406450i | \(0.133233\pi\) | |||||||
\(68\) | 2.79700 | − | 46.5118i | 0.0411324 | − | 0.683997i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −116.254 | + | 109.473i | −1.66078 | + | 1.56391i | ||||
\(71\) | −113.848 | −1.60349 | −0.801746 | − | 0.597665i | \(-0.796095\pi\) | ||||
−0.801746 | + | 0.597665i | \(0.796095\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 17.1016i | − | 0.234268i | −0.993116 | − | 0.117134i | \(-0.962629\pi\) | ||
0.993116 | − | 0.117134i | \(-0.0373707\pi\) | |||||||
\(74\) | 38.8973 | − | 36.6285i | 0.525639 | − | 0.494979i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.50240 | − | 5.07856i | −0.0592422 | − | 0.0668231i | ||||
\(77\) | −43.6366 | − | 162.854i | −0.566709 | − | 2.11499i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.83045 | − | 17.0268i | −0.124436 | − | 0.215530i | 0.797076 | − | 0.603879i | \(-0.206379\pi\) |
−0.921512 | + | 0.388349i | \(0.873046\pi\) | |||||||
\(80\) | −130.016 | + | 18.5440i | −1.62520 | + | 0.231800i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.91742 | + | 9.57338i | −0.0721636 | + | 0.116749i | ||||
\(83\) | 80.8500 | + | 21.6637i | 0.974097 | + | 0.261008i | 0.710557 | − | 0.703640i | \(-0.248443\pi\) |
0.263540 | + | 0.964648i | \(0.415110\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 24.7475 | + | 92.3590i | 0.291147 | + | 1.08658i | ||||
\(86\) | 49.4269 | + | 14.8482i | 0.574731 | + | 0.172654i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 47.7934 | − | 130.165i | 0.543107 | − | 1.47914i | ||||
\(89\) | 99.5952 | 1.11905 | 0.559524 | − | 0.828814i | \(-0.310984\pi\) | ||||
0.559524 | + | 0.828814i | \(0.310984\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 18.6356 | − | 18.6356i | 0.204787 | − | 0.204787i | ||||
\(92\) | 73.0785 | − | 110.655i | 0.794331 | − | 1.20278i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 17.3161 | − | 9.31570i | 0.184214 | − | 0.0991031i | ||||
\(95\) | 12.0614 | + | 6.96365i | 0.126962 | + | 0.0733015i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −70.2440 | − | 121.666i | −0.724165 | − | 1.25429i | −0.959317 | − | 0.282332i | \(-0.908892\pi\) |
0.235152 | − | 0.971959i | \(-0.424441\pi\) | |||||||
\(98\) | −47.9703 | + | 77.6079i | −0.489493 | + | 0.791917i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 151.613 | − | 75.7853i | 1.51613 | − | 0.757853i | ||||
\(101\) | −49.5515 | + | 184.929i | −0.490609 | + | 1.83098i | 0.0627431 | + | 0.998030i | \(0.480015\pi\) |
−0.553352 | + | 0.832948i | \(0.686652\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 52.9787 | + | 30.5873i | 0.514356 | + | 0.296964i | 0.734622 | − | 0.678476i | \(-0.237359\pi\) |
−0.220266 | + | 0.975440i | \(0.570693\pi\) | |||||||
\(104\) | 21.3564 | − | 3.70346i | 0.205350 | − | 0.0356102i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 50.7623 | + | 53.9066i | 0.478889 | + | 0.508553i | ||||
\(107\) | 63.7744 | + | 63.7744i | 0.596023 | + | 0.596023i | 0.939252 | − | 0.343229i | \(-0.111521\pi\) |
−0.343229 | + | 0.939252i | \(0.611521\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −120.966 | − | 120.966i | −1.10978 | − | 1.10978i | −0.993179 | − | 0.116600i | \(-0.962800\pi\) |
−0.116600 | − | 0.993179i | \(-0.537200\pi\) | |||||||
\(110\) | −8.54392 | + | 284.413i | −0.0776720 | + | 2.58557i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −143.138 | + | 61.1046i | −1.27802 | + | 0.545577i | ||||
\(113\) | −54.5148 | − | 31.4741i | −0.482432 | − | 0.278532i | 0.238998 | − | 0.971020i | \(-0.423181\pi\) |
−0.721429 | + | 0.692488i | \(0.756515\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −70.4299 | + | 262.848i | −0.612434 | + | 2.28564i | ||||
\(116\) | 30.4627 | + | 10.1580i | 0.262610 | + | 0.0875691i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −161.261 | + | 38.0590i | −1.36662 | + | 0.322534i | ||||
\(119\) | 56.6558 | + | 98.1308i | 0.476099 | + | 0.824628i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −155.385 | − | 89.7115i | −1.28417 | − | 0.741418i | ||||
\(122\) | −14.9081 | + | 49.6261i | −0.122197 | + | 0.406772i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −53.7872 | + | 81.4445i | −0.433768 | + | 0.656811i | ||||
\(125\) | −100.845 | + | 100.845i | −0.806756 | + | 0.806756i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 86.2129 | 0.678842 | 0.339421 | − | 0.940635i | \(-0.389769\pi\) | ||||
0.339421 | + | 0.940635i | \(0.389769\pi\) | |||||||
\(128\) | −125.182 | − | 26.7105i | −0.977985 | − | 0.208676i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −39.1699 | + | 21.0726i | −0.301307 | + | 0.162097i | ||||
\(131\) | 52.7912 | + | 197.019i | 0.402986 | + | 1.50397i | 0.807740 | + | 0.589539i | \(0.200691\pi\) |
−0.404753 | + | 0.914426i | \(0.632643\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 15.9422 | + | 4.27171i | 0.119866 | + | 0.0321181i | ||||
\(134\) | −202.758 | + | 47.8526i | −1.51312 | + | 0.357109i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.38470 | + | 92.8137i | −0.0616522 | + | 0.682453i | ||||
\(137\) | −82.3443 | − | 142.624i | −0.601053 | − | 1.04105i | −0.992662 | − | 0.120923i | \(-0.961415\pi\) |
0.391609 | − | 0.920132i | \(-0.371919\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.79178 | + | 29.0793i | 0.0560560 | + | 0.209204i | 0.988273 | − | 0.152695i | \(-0.0487952\pi\) |
−0.932217 | + | 0.361899i | \(0.882129\pi\) | |||||||
\(140\) | 238.978 | − | 211.867i | 1.70699 | − | 1.51333i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 227.593 | + | 6.83703i | 1.60277 | + | 0.0481481i | ||||
\(143\) | − | 46.9610i | − | 0.328399i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −65.8949 | −0.454448 | ||||||||
\(146\) | −1.02702 | + | 34.1877i | −0.00703437 | + | 0.234162i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −79.9592 | + | 70.8880i | −0.540265 | + | 0.478973i | ||||
\(149\) | −129.656 | + | 34.7413i | −0.870177 | + | 0.233163i | −0.666164 | − | 0.745805i | \(-0.732065\pi\) |
−0.204013 | + | 0.978968i | \(0.565398\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 46.8407 | − | 27.0435i | 0.310203 | − | 0.179096i | −0.336814 | − | 0.941571i | \(-0.609349\pi\) |
0.647017 | + | 0.762475i | \(0.276016\pi\) | |||||||
\(152\) | 8.69576 | + | 10.4229i | 0.0572090 | + | 0.0685719i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 77.4537 | + | 328.181i | 0.502946 | + | 2.13105i | ||||
\(155\) | 51.8378 | − | 193.461i | 0.334437 | − | 1.24814i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 69.8242 | − | 18.7093i | 0.444740 | − | 0.119168i | −0.0294971 | − | 0.999565i | \(-0.509391\pi\) |
0.474237 | + | 0.880397i | \(0.342724\pi\) | |||||||
\(158\) | 18.6295 | + | 34.6287i | 0.117908 | + | 0.219169i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 261.028 | − | 29.2633i | 1.63142 | − | 0.182895i | ||||
\(161\) | 322.478i | 2.00297i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 38.2729 | + | 38.2729i | 0.234803 | + | 0.234803i | 0.814694 | − | 0.579891i | \(-0.196905\pi\) |
−0.579891 | + | 0.814694i | \(0.696905\pi\) | |||||||
\(164\) | 12.4044 | − | 18.7828i | 0.0756367 | − | 0.114529i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −160.326 | − | 48.1632i | −0.965820 | − | 0.290140i | ||||
\(167\) | 23.8430 | − | 41.2972i | 0.142772 | − | 0.247289i | −0.785767 | − | 0.618522i | \(-0.787732\pi\) |
0.928540 | + | 0.371233i | \(0.121065\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −140.001 | + | 80.8296i | −0.828408 | + | 0.478282i | ||||
\(170\) | −43.9262 | − | 186.121i | −0.258389 | − | 1.09483i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −97.9174 | − | 32.6513i | −0.569287 | − | 0.189833i | ||||
\(173\) | 147.635 | + | 39.5586i | 0.853381 | + | 0.228663i | 0.658888 | − | 0.752241i | \(-0.271027\pi\) |
0.194493 | + | 0.980904i | \(0.437694\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −206.094 | + | 356.965i | −1.17768 | + | 2.03980i | ||||
\(176\) | −103.361 | + | 257.342i | −0.587276 | + | 1.46217i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −199.101 | − | 5.98109i | −1.11854 | − | 0.0336017i | ||||
\(179\) | 8.85078 | − | 8.85078i | 0.0494457 | − | 0.0494457i | −0.681952 | − | 0.731397i | \(-0.738869\pi\) |
0.731397 | + | 0.681952i | \(0.238869\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.6456 | + | 19.6456i | −0.108539 | + | 0.108539i | −0.759291 | − | 0.650752i | \(-0.774454\pi\) |
0.650752 | + | 0.759291i | \(0.274454\pi\) | |||||||
\(182\) | −38.3736 | + | 36.1353i | −0.210844 | + | 0.198545i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −152.736 | + | 216.822i | −0.830089 | + | 1.17838i | ||||
\(185\) | 109.639 | − | 189.900i | 0.592643 | − | 1.02649i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 195.028 | + | 52.2576i | 1.04293 | + | 0.279453i | ||||
\(188\) | −35.1760 | + | 17.5831i | −0.187106 | + | 0.0935271i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −23.6937 | − | 14.6453i | −0.124704 | − | 0.0770808i | ||||
\(191\) | 291.669 | − | 168.395i | 1.52706 | − | 0.881651i | 0.527582 | − | 0.849504i | \(-0.323099\pi\) |
0.999483 | − | 0.0321469i | \(-0.0102344\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 46.6824 | − | 80.8563i | 0.241878 | − | 0.418945i | −0.719371 | − | 0.694626i | \(-0.755570\pi\) |
0.961249 | + | 0.275681i | \(0.0889034\pi\) | |||||||
\(194\) | 133.118 | + | 247.441i | 0.686176 | + | 1.27547i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 100.558 | − | 152.265i | 0.513051 | − | 0.776862i | ||||
\(197\) | −160.979 | − | 160.979i | −0.817150 | − | 0.817150i | 0.168544 | − | 0.985694i | \(-0.446093\pi\) |
−0.985694 | + | 0.168544i | \(0.946093\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 42.0675i | 0.211394i | 0.994398 | + | 0.105697i | \(0.0337074\pi\) | ||||
−0.994398 | + | 0.105697i | \(0.966293\pi\) | |||||||
\(200\) | −307.641 | + | 142.397i | −1.53820 | + | 0.711987i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 110.164 | − | 366.715i | 0.545366 | − | 1.81542i | ||||
\(203\) | −75.4284 | + | 20.2110i | −0.371568 | + | 0.0995614i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.9548 | + | 44.6161i | −0.0583163 | + | 0.217639i | ||||
\(206\) | −104.073 | − | 64.3285i | −0.505207 | − | 0.312274i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −42.9159 | + | 6.12104i | −0.206326 | + | 0.0294281i | ||||
\(209\) | 25.4692 | − | 14.7046i | 0.121862 | − | 0.0703572i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −20.4176 | + | 5.47088i | −0.0967659 | + | 0.0259284i | −0.306877 | − | 0.951749i | \(-0.599284\pi\) |
0.210111 | + | 0.977677i | \(0.432617\pi\) | |||||||
\(212\) | −98.2414 | − | 110.813i | −0.463403 | − | 0.522703i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −123.661 | − | 131.321i | −0.577857 | − | 0.613651i | ||||
\(215\) | 211.809 | 0.985156 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 237.350i | − | 1.09378i | ||||||
\(218\) | 234.558 | + | 249.087i | 1.07596 | + | 1.14260i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 34.1603 | − | 568.056i | 0.155274 | − | 2.58207i | ||||
\(221\) | 8.16872 | + | 30.4861i | 0.0369625 | + | 0.137946i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 36.6216 | + | 63.4305i | 0.164223 | + | 0.284442i | 0.936379 | − | 0.350991i | \(-0.114155\pi\) |
−0.772156 | + | 0.635433i | \(0.780822\pi\) | |||||||
\(224\) | 289.817 | − | 113.558i | 1.29382 | − | 0.506956i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 107.090 | + | 66.1937i | 0.473851 | + | 0.292892i | ||||
\(227\) | −289.360 | − | 77.5337i | −1.27471 | − | 0.341558i | −0.442878 | − | 0.896582i | \(-0.646043\pi\) |
−0.831835 | + | 0.555024i | \(0.812709\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 48.1927 | + | 179.858i | 0.210449 | + | 0.785405i | 0.987719 | + | 0.156239i | \(0.0499369\pi\) |
−0.777271 | + | 0.629166i | \(0.783396\pi\) | |||||||
\(230\) | 156.581 | − | 521.229i | 0.680789 | − | 2.26621i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −60.2879 | − | 22.1363i | −0.259862 | − | 0.0954150i | ||||
\(233\) | −156.231 | −0.670520 | −0.335260 | − | 0.942126i | \(-0.608824\pi\) | ||||
−0.335260 | + | 0.942126i | \(0.608824\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 57.0625 | − | 57.0625i | 0.242819 | − | 0.242819i | ||||
\(236\) | 324.662 | − | 66.3992i | 1.37568 | − | 0.281353i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −107.367 | − | 199.575i | −0.451124 | − | 0.838552i | ||||
\(239\) | −270.739 | − | 156.311i | −1.13280 | − | 0.654021i | −0.188160 | − | 0.982138i | \(-0.560252\pi\) |
−0.944637 | + | 0.328118i | \(0.893586\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −189.723 | − | 328.609i | −0.787231 | − | 1.36352i | −0.927657 | − | 0.373433i | \(-0.878180\pi\) |
0.140426 | − | 0.990091i | \(-0.455153\pi\) | |||||||
\(242\) | 305.242 | + | 188.674i | 1.26133 | + | 0.779643i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 32.7830 | − | 98.3122i | 0.134356 | − | 0.402919i | ||||
\(245\) | −96.9135 | + | 361.686i | −0.395565 | + | 1.47627i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.98125 | + | 2.29858i | 0.0161184 | + | 0.00930598i | ||||
\(248\) | 112.417 | − | 159.586i | 0.453294 | − | 0.643490i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 207.654 | − | 195.542i | 0.830617 | − | 0.782168i | ||||
\(251\) | −261.495 | − | 261.495i | −1.04181 | − | 1.04181i | −0.999087 | − | 0.0427244i | \(-0.986396\pi\) |
−0.0427244 | − | 0.999087i | \(-0.513604\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 406.316 | + | 406.316i | 1.60599 | + | 1.60599i | ||||
\(254\) | −172.348 | − | 5.17743i | −0.678536 | − | 0.0203836i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 248.647 | + | 60.9146i | 0.971278 | + | 0.237948i | ||||
\(257\) | 93.3244 | + | 53.8809i | 0.363130 | + | 0.209653i | 0.670453 | − | 0.741952i | \(-0.266100\pi\) |
−0.307323 | + | 0.951605i | \(0.599433\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 67.2558 | − | 251.002i | 0.259675 | − | 0.969121i | ||||
\(260\) | 79.5699 | − | 39.7738i | 0.306038 | − | 0.152976i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −93.7030 | − | 397.032i | −0.357645 | − | 1.51539i | ||||
\(263\) | −188.786 | − | 326.987i | −0.717817 | − | 1.24330i | −0.961863 | − | 0.273532i | \(-0.911808\pi\) |
0.244046 | − | 0.969764i | \(-0.421525\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 263.177 | + | 151.945i | 0.993120 | + | 0.573378i | ||||
\(266\) | −31.6136 | − | 9.49697i | −0.118848 | − | 0.0357029i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 408.206 | − | 83.4857i | 1.52316 | − | 0.311514i | ||||
\(269\) | 92.7359 | − | 92.7359i | 0.344743 | − | 0.344743i | −0.513404 | − | 0.858147i | \(-0.671616\pi\) |
0.858147 | + | 0.513404i | \(0.171616\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 212.088 | 0.782613 | 0.391307 | − | 0.920260i | \(-0.372023\pi\) | ||||
0.391307 | + | 0.920260i | \(0.372023\pi\) | |||||||
\(272\) | 22.3357 | − | 185.040i | 0.0821165 | − | 0.680294i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 156.049 | + | 290.065i | 0.569522 | + | 1.05863i | ||||
\(275\) | 190.095 | + | 709.443i | 0.691254 | + | 2.57979i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −438.552 | − | 117.510i | −1.58322 | − | 0.424223i | −0.643300 | − | 0.765614i | \(-0.722435\pi\) |
−0.939921 | + | 0.341391i | \(0.889102\pi\) | |||||||
\(278\) | −13.8302 | − | 58.6004i | −0.0497489 | − | 0.210793i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −490.465 | + | 409.191i | −1.75166 | + | 1.46140i | ||||
\(281\) | 120.649 | + | 208.971i | 0.429357 | + | 0.743669i | 0.996816 | − | 0.0797330i | \(-0.0254068\pi\) |
−0.567459 | + | 0.823402i | \(0.692073\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −63.5940 | − | 237.336i | −0.224714 | − | 0.838643i | −0.982519 | − | 0.186163i | \(-0.940395\pi\) |
0.757805 | − | 0.652481i | \(-0.226272\pi\) | |||||||
\(284\) | −454.571 | − | 27.3358i | −1.60060 | − | 0.0962527i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.82020 | + | 93.8797i | −0.00986083 | + | 0.328251i | ||||
\(287\) | 54.7377i | 0.190724i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 153.302 | 0.530456 | ||||||||
\(290\) | 131.730 | + | 3.95725i | 0.454243 | + | 0.0136457i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.10622 | − | 68.2829i | 0.0140624 | − | 0.233846i | ||||
\(293\) | 2.31983 | − | 0.621597i | 0.00791751 | − | 0.00212149i | −0.254858 | − | 0.966978i | \(-0.582029\pi\) |
0.262776 | + | 0.964857i | \(0.415362\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −588.909 | + | 340.007i | −1.99630 | + | 1.15256i | ||||
\(296\) | 164.103 | − | 136.910i | 0.554404 | − | 0.462534i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 261.282 | − | 61.6649i | 0.876786 | − | 0.206929i | ||||
\(299\) | −23.2477 | + | 86.7615i | −0.0777514 | + | 0.290172i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 242.452 | − | 64.9649i | 0.805490 | − | 0.215830i | ||||
\(302\) | −95.2632 | + | 51.2496i | −0.315441 | + | 0.169701i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −16.7577 | − | 21.3587i | −0.0551241 | − | 0.0702588i | ||||
\(305\) | 212.663i | 0.697254i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 178.526 | + | 178.526i | 0.581517 | + | 0.581517i | 0.935320 | − | 0.353803i | \(-0.115112\pi\) |
−0.353803 | + | 0.935320i | \(0.615112\pi\) | |||||||
\(308\) | −135.129 | − | 660.718i | −0.438731 | − | 2.14519i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −115.247 | + | 383.635i | −0.371764 | + | 1.23753i | ||||
\(311\) | 42.8211 | − | 74.1683i | 0.137688 | − | 0.238483i | −0.788933 | − | 0.614479i | \(-0.789366\pi\) |
0.926621 | + | 0.375996i | \(0.122699\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −230.617 | + | 133.147i | −0.736797 | + | 0.425390i | −0.820904 | − | 0.571067i | \(-0.806530\pi\) |
0.0841066 | + | 0.996457i | \(0.473196\pi\) | |||||||
\(314\) | −140.709 | + | 33.2086i | −0.448118 | + | 0.105760i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −35.1626 | − | 70.3449i | −0.111274 | − | 0.222611i | ||||
\(317\) | −245.123 | − | 65.6804i | −0.773257 | − | 0.207194i | −0.149447 | − | 0.988770i | \(-0.547749\pi\) |
−0.623810 | + | 0.781576i | \(0.714416\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −69.5729 | + | 120.504i | −0.218097 | + | 0.377755i | ||||
\(320\) | −523.577 | + | 42.8244i | −1.63618 | + | 0.133826i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 19.3661 | − | 644.665i | 0.0601431 | − | 2.00207i | ||||
\(323\) | −13.9762 | + | 13.9762i | −0.0432701 | + | 0.0432701i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −81.1826 | + | 81.1826i | −0.249793 | + | 0.249793i | ||||
\(326\) | −74.2129 | − | 78.8098i | −0.227647 | − | 0.241748i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −25.9256 | + | 36.8037i | −0.0790415 | + | 0.112206i | ||||
\(329\) | 47.8162 | − | 82.8201i | 0.145338 | − | 0.251733i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −66.3184 | − | 17.7700i | −0.200358 | − | 0.0536857i | 0.157244 | − | 0.987560i | \(-0.449739\pi\) |
−0.357602 | + | 0.933874i | \(0.616406\pi\) | |||||||
\(332\) | 317.615 | + | 105.911i | 0.956672 | + | 0.319010i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −50.1445 | + | 81.1253i | −0.150133 | + | 0.242890i | ||||
\(335\) | −740.452 | + | 427.500i | −2.21030 | + | 1.27612i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.4530 | − | 31.9616i | 0.0547568 | − | 0.0948416i | −0.837348 | − | 0.546671i | \(-0.815895\pi\) |
0.892105 | + | 0.451829i | \(0.149228\pi\) | |||||||
\(338\) | 284.730 | − | 153.179i | 0.842396 | − | 0.453191i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 76.6355 | + | 374.712i | 0.225398 | + | 1.10209i | ||||
\(341\) | −299.056 | − | 299.056i | −0.876998 | − | 0.876998i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 32.8942i | − | 0.0959013i | ||||||
\(344\) | 193.786 | + | 71.1535i | 0.563331 | + | 0.206842i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −292.761 | − | 87.9477i | −0.846130 | − | 0.254184i | ||||
\(347\) | 272.511 | − | 73.0192i | 0.785335 | − | 0.210430i | 0.156200 | − | 0.987726i | \(-0.450076\pi\) |
0.629136 | + | 0.777296i | \(0.283409\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 67.5509 | − | 252.104i | 0.193556 | − | 0.722360i | −0.799080 | − | 0.601224i | \(-0.794680\pi\) |
0.992636 | − | 0.121135i | \(-0.0386535\pi\) | |||||||
\(350\) | 433.439 | − | 701.231i | 1.23840 | − | 2.00352i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 222.082 | − | 508.245i | 0.630916 | − | 1.44388i | ||||
\(353\) | 184.388 | − | 106.456i | 0.522345 | − | 0.301576i | −0.215549 | − | 0.976493i | \(-0.569154\pi\) |
0.737893 | + | 0.674917i | \(0.235821\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 902.646 | − | 241.863i | 2.54267 | − | 0.681305i | ||||
\(356\) | 397.663 | + | 23.9136i | 1.11703 | + | 0.0671730i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −18.2251 | + | 17.1621i | −0.0509081 | + | 0.0479387i | ||||
\(359\) | 453.564 | 1.26341 | 0.631705 | − | 0.775209i | \(-0.282355\pi\) | ||||
0.631705 | + | 0.775209i | \(0.282355\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | − | 358.121i | − | 0.992025i | ||||||
\(362\) | 40.4533 | − | 38.0937i | 0.111749 | − | 0.105231i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 78.8826 | − | 69.9335i | 0.216710 | − | 0.192125i | ||||
\(365\) | 36.3313 | + | 135.590i | 0.0995378 | + | 0.371480i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −123.584 | − | 214.053i | −0.336740 | − | 0.583251i | 0.647078 | − | 0.762424i | \(-0.275991\pi\) |
−0.983817 | + | 0.179173i | \(0.942658\pi\) | |||||||
\(368\) | 318.356 | − | 424.277i | 0.865098 | − | 1.15293i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −230.583 | + | 373.045i | −0.623198 | + | 1.00823i | ||||
\(371\) | 347.856 | + | 93.2078i | 0.937618 | + | 0.251234i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 66.7846 | + | 249.244i | 0.179047 | + | 0.668213i | 0.995827 | + | 0.0912634i | \(0.0290905\pi\) |
−0.816780 | + | 0.576950i | \(0.804243\pi\) | |||||||
\(374\) | −386.742 | − | 116.180i | −1.03407 | − | 0.310643i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 71.3762 | − | 33.0379i | 0.189830 | − | 0.0878666i | ||||
\(377\) | −21.7508 | −0.0576943 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.5829 | − | 13.5829i | 0.0358388 | − | 0.0358388i | −0.688960 | − | 0.724799i | \(-0.741933\pi\) |
0.724799 | + | 0.688960i | \(0.241933\pi\) | |||||||
\(380\) | 46.4865 | + | 30.7004i | 0.122333 | + | 0.0807905i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −593.189 | + | 319.123i | −1.55285 | + | 0.835401i | ||||
\(383\) | −80.5661 | − | 46.5149i | −0.210355 | − | 0.121449i | 0.391121 | − | 0.920339i | \(-0.372087\pi\) |
−0.601477 | + | 0.798890i | \(0.705421\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 691.947 | + | 1198.49i | 1.79727 | + | 3.11295i | ||||
\(386\) | −98.1785 | + | 158.836i | −0.254348 | + | 0.411493i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −251.256 | − | 502.653i | −0.647568 | − | 1.29550i | ||||
\(389\) | 79.3503 | − | 296.139i | 0.203985 | − | 0.761284i | −0.785771 | − | 0.618517i | \(-0.787734\pi\) |
0.989756 | − | 0.142766i | \(-0.0455997\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −334.449 | − | 193.094i | −0.855368 | − | 0.493847i | ||||
\(392\) | −210.169 | + | 298.354i | −0.536146 | + | 0.761106i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 312.145 | + | 331.479i | 0.792245 | + | 0.841318i | ||||
\(395\) | 114.114 | + | 114.114i | 0.288895 | + | 0.288895i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −455.184 | − | 455.184i | −1.14656 | − | 1.14656i | −0.987225 | − | 0.159333i | \(-0.949066\pi\) |
−0.159333 | − | 0.987225i | \(-0.550934\pi\) | |||||||
\(398\) | 2.52632 | − | 84.0970i | 0.00634754 | − | 0.211299i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 623.555 | − | 266.191i | 1.55889 | − | 0.665478i | ||||
\(401\) | −647.690 | − | 373.944i | −1.61519 | − | 0.932529i | −0.988141 | − | 0.153546i | \(-0.950931\pi\) |
−0.627046 | − | 0.778982i | \(-0.715736\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 17.1107 | − | 63.8581i | 0.0424584 | − | 0.158457i | ||||
\(404\) | −242.251 | + | 726.483i | −0.599632 | + | 1.79823i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 152.002 | − | 35.8739i | 0.374390 | − | 0.0883595i | ||||
\(407\) | −231.517 | − | 400.999i | −0.568838 | − | 0.985256i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 164.913 | + | 95.2128i | 0.403211 | + | 0.232794i | 0.687869 | − | 0.725835i | \(-0.258546\pi\) |
−0.284657 | + | 0.958629i | \(0.591880\pi\) | |||||||
\(410\) | 26.5783 | − | 88.4740i | 0.0648251 | − | 0.215790i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 204.188 | + | 134.849i | 0.495603 | + | 0.327303i | ||||
\(413\) | −569.825 | + | 569.825i | −1.37972 | + | 1.37972i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −687.045 | −1.65553 | ||||||||
\(416\) | 86.1606 | − | 9.65929i | 0.207117 | − | 0.0232194i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −51.7985 | + | 27.8665i | −0.123920 | + | 0.0666663i | ||||
\(419\) | 137.696 | + | 513.889i | 0.328630 | + | 1.22646i | 0.910612 | + | 0.413263i | \(0.135611\pi\) |
−0.581982 | + | 0.813202i | \(0.697722\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 627.309 | + | 168.087i | 1.49004 | + | 0.399256i | 0.909752 | − | 0.415152i | \(-0.136272\pi\) |
0.580292 | + | 0.814408i | \(0.302938\pi\) | |||||||
\(422\) | 41.1454 | − | 9.71067i | 0.0975009 | − | 0.0230111i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 189.740 | + | 227.426i | 0.447499 | + | 0.536382i | ||||
\(425\) | −246.811 | − | 427.489i | −0.580731 | − | 1.00586i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 65.2268 | + | 243.430i | 0.152756 | + | 0.570093i | ||||
\(428\) | 239.325 | + | 269.950i | 0.559170 | + | 0.630725i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −423.426 | − | 12.7200i | −0.984712 | − | 0.0295813i | ||||
\(431\) | − | 16.9333i | − | 0.0392884i | −0.999807 | − | 0.0196442i | \(-0.993747\pi\) | ||
0.999807 | − | 0.0196442i | \(-0.00625334\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 594.294 | 1.37250 | 0.686252 | − | 0.727364i | \(-0.259255\pi\) | ||||
0.686252 | + | 0.727364i | \(0.259255\pi\) | |||||||
\(434\) | −14.2538 | + | 474.486i | −0.0328429 | + | 1.09329i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −453.946 | − | 512.036i | −1.04116 | − | 1.17439i | ||||
\(437\) | −54.3343 | + | 14.5588i | −0.124335 | + | 0.0333154i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 317.692 | − | 183.420i | 0.723672 | − | 0.417812i | −0.0924309 | − | 0.995719i | \(-0.529464\pi\) |
0.816103 | + | 0.577907i | \(0.196130\pi\) | |||||||
\(440\) | −102.404 | + | 1133.55i | −0.232736 | + | 2.57625i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.4993 | − | 61.4352i | −0.0328038 | − | 0.138994i | ||||
\(443\) | −129.561 | + | 483.527i | −0.292462 | + | 1.09148i | 0.650751 | + | 0.759292i | \(0.274454\pi\) |
−0.943212 | + | 0.332190i | \(0.892212\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −789.643 | + | 211.584i | −1.77448 | + | 0.475470i | ||||
\(446\) | −69.4010 | − | 129.003i | −0.155608 | − | 0.289245i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −586.192 | + | 209.609i | −1.30846 | + | 0.467878i | ||||
\(449\) | − | 684.125i | − | 1.52366i | −0.647774 | − | 0.761832i | \(-0.724300\pi\) | ||
0.647774 | − | 0.761832i | \(-0.275700\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 68.9685 | + | 68.9685i | 0.152923 | + | 0.152923i | ||||
\(452\) | −210.109 | − | 138.759i | −0.464842 | − | 0.306989i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 573.802 | + | 172.375i | 1.26388 | + | 0.379680i | ||||
\(455\) | −108.163 | + | 187.343i | −0.237720 | + | 0.411743i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −599.509 | + | 346.127i | −1.31184 | + | 0.757389i | −0.982400 | − | 0.186789i | \(-0.940192\pi\) |
−0.329436 | + | 0.944178i | \(0.606859\pi\) | |||||||
\(458\) | −85.5408 | − | 362.447i | −0.186770 | − | 0.791370i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −344.324 | + | 1032.59i | −0.748529 | + | 2.24475i | ||||
\(461\) | 370.466 | + | 99.2660i | 0.803614 | + | 0.215328i | 0.637170 | − | 0.770723i | \(-0.280105\pi\) |
0.166444 | + | 0.986051i | \(0.446772\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 91.5118 | − | 158.503i | 0.197650 | − | 0.342339i | −0.750116 | − | 0.661306i | \(-0.770002\pi\) |
0.947766 | + | 0.318967i | \(0.103336\pi\) | |||||||
\(464\) | 119.192 | + | 47.8731i | 0.256879 | + | 0.103175i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 312.321 | + | 9.38231i | 0.670218 | + | 0.0201337i | ||||
\(467\) | 250.843 | − | 250.843i | 0.537137 | − | 0.537137i | −0.385550 | − | 0.922687i | \(-0.625988\pi\) |
0.922687 | + | 0.385550i | \(0.125988\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −716.457 | + | 716.457i | −1.52763 | + | 1.52763i | ||||
\(470\) | −117.500 | + | 110.647i | −0.250001 | + | 0.235419i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −653.018 | + | 113.241i | −1.38351 | + | 0.239918i | ||||
\(473\) | 223.631 | − | 387.340i | 0.472792 | − | 0.818900i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −69.4495 | − | 18.6089i | −0.146209 | − | 0.0391767i | ||||
\(476\) | 202.653 | + | 405.419i | 0.425741 | + | 0.851720i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 531.846 | + | 328.740i | 1.11265 | + | 0.687740i | ||||
\(479\) | −116.611 | + | 67.3256i | −0.243448 | + | 0.140555i | −0.616760 | − | 0.787151i | \(-0.711555\pi\) |
0.373313 | + | 0.927706i | \(0.378222\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 36.1899 | − | 62.6827i | 0.0752388 | − | 0.130317i | ||||
\(482\) | 359.540 | + | 668.316i | 0.745934 | + | 1.38655i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −598.878 | − | 395.508i | −1.23735 | − | 0.817166i | ||||
\(485\) | 815.404 | + | 815.404i | 1.68125 | + | 1.68125i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 190.468i | − | 0.391105i | −0.980693 | − | 0.195552i | \(-0.937350\pi\) | ||
0.980693 | − | 0.195552i | \(-0.0626500\pi\) | |||||||
\(488\) | −71.4404 | + | 194.567i | −0.146394 | + | 0.398703i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 215.460 | − | 717.226i | 0.439715 | − | 1.46373i | ||||
\(491\) | −283.349 | + | 75.9231i | −0.577085 | + | 0.154629i | −0.535544 | − | 0.844507i | \(-0.679893\pi\) |
−0.0415410 | + | 0.999137i | \(0.513227\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 24.2040 | − | 90.3304i | 0.0490953 | − | 0.183226i | ||||
\(494\) | −7.82087 | − | 4.83417i | −0.0158317 | − | 0.00978577i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −234.316 | + | 312.276i | −0.472412 | + | 0.629589i | ||||
\(497\) | 959.055 | − | 553.711i | 1.92969 | − | 1.11411i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 134.030 | − | 35.9133i | 0.268598 | − | 0.0719706i | −0.122006 | − | 0.992529i | \(-0.538933\pi\) |
0.390604 | + | 0.920559i | \(0.372266\pi\) | |||||||
\(500\) | −426.864 | + | 378.437i | −0.853729 | + | 0.756874i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 507.050 | + | 538.457i | 1.01006 | + | 1.07262i | ||||
\(503\) | −67.2546 | −0.133707 | −0.0668535 | − | 0.997763i | \(-0.521296\pi\) | ||||
−0.0668535 | + | 0.997763i | \(0.521296\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 1571.48i | − | 3.11184i | ||||||
\(506\) | −787.865 | − | 836.667i | −1.55704 | − | 1.65349i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 344.230 | + | 20.7004i | 0.677618 | + | 0.0407488i | ||||
\(509\) | 45.8166 | + | 170.990i | 0.0900129 | + | 0.335933i | 0.996216 | − | 0.0869096i | \(-0.0276991\pi\) |
−0.906203 | + | 0.422842i | \(0.861032\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 83.1752 | + | 144.064i | 0.162769 | + | 0.281925i | ||||
\(512\) | −493.412 | − | 136.706i | −0.963695 | − | 0.267005i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −183.329 | − | 113.318i | −0.356671 | − | 0.220462i | ||||
\(515\) | −485.024 | − | 129.962i | −0.941794 | − | 0.252353i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −44.1042 | − | 164.599i | −0.0853080 | − | 0.318374i | ||||
\(518\) | −149.525 | + | 497.739i | −0.288658 | + | 0.960886i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −161.457 | + | 74.7333i | −0.310494 | + | 0.143718i | ||||
\(521\) | 31.1461 | 0.0597815 | 0.0298907 | − | 0.999553i | \(-0.490484\pi\) | ||||
0.0298907 | + | 0.999553i | \(0.490484\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −596.838 | + | 596.838i | −1.14118 | + | 1.14118i | −0.152948 | + | 0.988234i | \(0.548877\pi\) |
−0.988234 | + | 0.152948i | \(0.951123\pi\) | |||||||
\(524\) | 163.478 | + | 799.332i | 0.311981 | + | 1.52544i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 357.765 | + | 665.016i | 0.680161 | + | 1.26429i | ||||
\(527\) | 246.161 | + | 142.121i | 0.467098 | + | 0.269679i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −285.034 | − | 493.694i | −0.538817 | − | 0.933258i | ||||
\(530\) | −516.991 | − | 319.558i | −0.975455 | − | 0.602940i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 62.6283 | + | 20.8839i | 0.117722 | + | 0.0392554i | ||||
\(533\) | −3.94608 | + | 14.7270i | −0.00740353 | + | 0.0276304i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −641.122 | − | 370.152i | −1.19836 | − | 0.691873i | ||||
\(536\) | −821.058 | + | 142.382i | −1.53182 | + | 0.265637i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −190.957 | + | 179.819i | −0.354939 | + | 0.334236i | ||||
\(539\) | 559.102 | + | 559.102i | 1.03729 | + | 1.03729i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 423.104 | + | 423.104i | 0.782078 | + | 0.782078i | 0.980181 | − | 0.198103i | \(-0.0634781\pi\) |
−0.198103 | + | 0.980181i | \(0.563478\pi\) | |||||||
\(542\) | −423.985 | − | 12.7367i | −0.782260 | − | 0.0234995i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −55.7636 | + | 368.572i | −0.102507 | + | 0.677522i | ||||
\(545\) | 1216.07 | + | 702.096i | 2.23131 | + | 1.28825i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.9826 | − | 78.3083i | 0.0383595 | − | 0.143160i | −0.944090 | − | 0.329687i | \(-0.893057\pi\) |
0.982450 | + | 0.186528i | \(0.0597234\pi\) | |||||||
\(548\) | −294.538 | − | 589.241i | −0.537478 | − | 1.07526i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −337.413 | − | 1429.66i | −0.613478 | − | 2.59939i | ||||
\(551\) | −6.81069 | − | 11.7965i | −0.0123606 | − | 0.0214092i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 165.623 | + | 95.6227i | 0.299500 | + | 0.172916i | ||||
\(554\) | 869.652 | + | 261.250i | 1.56977 | + | 0.471571i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 24.1288 | + | 117.978i | 0.0433970 | + | 0.212191i | ||||
\(557\) | 415.890 | − | 415.890i | 0.746661 | − | 0.746661i | −0.227189 | − | 0.973851i | \(-0.572954\pi\) |
0.973851 | + | 0.227189i | \(0.0729536\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 69.9143 | 0.125070 | ||||||||
\(560\) | 1005.06 | − | 788.558i | 1.79475 | − | 1.40814i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −228.640 | − | 424.999i | −0.406834 | − | 0.756226i | ||||
\(563\) | −145.642 | − | 543.542i | −0.258688 | − | 0.965438i | −0.966001 | − | 0.258537i | \(-0.916759\pi\) |
0.707313 | − | 0.706901i | \(-0.249907\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 499.087 | + | 133.730i | 0.883339 | + | 0.236690i | ||||
\(566\) | 112.878 | + | 478.277i | 0.199431 | + | 0.845013i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 907.089 | + | 81.9457i | 1.59699 | + | 0.144271i | ||||
\(569\) | 151.528 | + | 262.455i | 0.266306 | + | 0.461256i | 0.967905 | − | 0.251316i | \(-0.0808634\pi\) |
−0.701599 | + | 0.712572i | \(0.747530\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −175.962 | − | 656.698i | −0.308164 | − | 1.15008i | −0.930187 | − | 0.367086i | \(-0.880356\pi\) |
0.622023 | − | 0.782999i | \(-0.286311\pi\) | |||||||
\(572\) | 11.2757 | − | 187.505i | 0.0197128 | − | 0.327807i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.28722 | − | 109.426i | 0.00572686 | − | 0.190638i | ||||
\(575\) | − | 1404.82i | − | 2.44316i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −48.7518 | −0.0844918 | −0.0422459 | − | 0.999107i | \(-0.513451\pi\) | ||||
−0.0422459 | + | 0.999107i | \(0.513451\pi\) | |||||||
\(578\) | −306.466 | − | 9.20639i | −0.530217 | − | 0.0159280i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −263.104 | − | 15.8219i | −0.453628 | − | 0.0272791i | ||||
\(581\) | −786.444 | + | 210.727i | −1.35360 | + | 0.362697i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 555.732 | − | 320.852i | 0.953228 | − | 0.550347i | ||||
\(584\) | −12.3094 | + | 136.258i | −0.0210777 | + | 0.233318i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.67490 | + | 1.10332i | −0.00797765 | + | 0.00188280i | ||||
\(587\) | 148.170 | − | 552.978i | 0.252419 | − | 0.942040i | −0.717089 | − | 0.696981i | \(-0.754526\pi\) |
0.969508 | − | 0.245059i | \(-0.0788073\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 39.9911 | − | 10.7156i | 0.0678966 | − | 0.0181928i | ||||
\(590\) | 1197.71 | − | 644.340i | 2.03001 | − | 1.09210i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −336.281 | + | 263.842i | −0.568042 | + | 0.445679i | ||||
\(593\) | − | 303.689i | − | 0.512123i | −0.966660 | − | 0.256062i | \(-0.917575\pi\) | ||
0.966660 | − | 0.256062i | \(-0.0824250\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −657.670 | − | 657.670i | −1.10533 | − | 1.10533i | ||||
\(596\) | −526.032 | + | 107.583i | −0.882604 | + | 0.180509i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 51.6848 | − | 172.049i | 0.0864294 | − | 0.287707i | ||||
\(599\) | 18.6944 | − | 32.3796i | 0.0312093 | − | 0.0540561i | −0.849999 | − | 0.526784i | \(-0.823397\pi\) |
0.881208 | + | 0.472728i | \(0.156731\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −99.3340 | + | 57.3505i | −0.165281 | + | 0.0954251i | −0.580359 | − | 0.814361i | \(-0.697088\pi\) |
0.415078 | + | 0.909786i | \(0.363754\pi\) | |||||||
\(602\) | −488.587 | + | 115.311i | −0.811607 | + | 0.191547i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 193.518 | − | 96.7321i | 0.320394 | − | 0.160152i | ||||
\(605\) | 1422.56 | + | 381.174i | 2.35134 | + | 0.630039i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −448.633 | + | 777.056i | −0.739099 | + | 1.28016i | 0.213802 | + | 0.976877i | \(0.431415\pi\) |
−0.952901 | + | 0.303281i | \(0.901918\pi\) | |||||||
\(608\) | 32.2177 | + | 43.7044i | 0.0529896 | + | 0.0718823i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 12.7712 | − | 425.133i | 0.0209365 | − | 0.696940i | ||||
\(611\) | 18.8353 | − | 18.8353i | 0.0308271 | − | 0.0308271i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 262.772 | − | 262.772i | 0.428666 | − | 0.428666i | −0.459508 | − | 0.888174i | \(-0.651974\pi\) |
0.888174 | + | 0.459508i | \(0.151974\pi\) | |||||||
\(614\) | −346.169 | − | 367.612i | −0.563794 | − | 0.598716i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 230.457 | + | 1328.96i | 0.374119 | + | 2.15740i | ||||
\(617\) | −56.2999 | + | 97.5142i | −0.0912478 | + | 0.158046i | −0.908036 | − | 0.418891i | \(-0.862419\pi\) |
0.816789 | + | 0.576937i | \(0.195752\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −260.515 | − | 69.8049i | −0.420865 | − | 0.112770i | 0.0421700 | − | 0.999110i | \(-0.486573\pi\) |
−0.463035 | + | 0.886340i | \(0.653240\pi\) | |||||||
\(620\) | 253.429 | − | 760.003i | 0.408756 | − | 1.22581i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −90.0577 | + | 145.698i | −0.144787 | + | 0.234241i | ||||
\(623\) | −838.990 | + | 484.391i | −1.34669 | + | 0.777514i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 55.6256 | − | 96.3463i | 0.0890009 | − | 0.154154i | ||||
\(626\) | 469.023 | − | 252.324i | 0.749238 | − | 0.403074i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 283.285 | − | 57.9371i | 0.451091 | − | 0.0922565i | ||||
\(629\) | 220.048 | + | 220.048i | 0.349838 | + | 0.349838i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 950.245i | − | 1.50593i | −0.658058 | − | 0.752967i | \(-0.728622\pi\) | ||
0.658058 | − | 0.752967i | \(-0.271378\pi\) | |||||||
\(632\) | 66.0690 | + | 142.738i | 0.104540 | + | 0.225851i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 486.080 | + | 146.022i | 0.766687 | + | 0.230319i | ||||
\(635\) | −683.541 | + | 183.154i | −1.07644 | + | 0.288432i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −31.9894 | + | 119.386i | −0.0502189 | + | 0.187419i | ||||
\(638\) | 146.320 | − | 236.721i | 0.229341 | − | 0.371036i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1049.25 | − | 54.1672i | 1.63946 | − | 0.0846363i | ||||
\(641\) | −394.622 | + | 227.835i | −0.615635 | + | 0.355437i | −0.775168 | − | 0.631755i | \(-0.782335\pi\) |
0.159532 | + | 0.987193i | \(0.449001\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1079.45 | + | 289.237i | −1.67877 | + | 0.449824i | −0.967453 | − | 0.253051i | \(-0.918566\pi\) |
−0.711314 | + | 0.702875i | \(0.751899\pi\) | |||||||
\(644\) | −77.4294 | + | 1287.59i | −0.120232 | + | 1.99936i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 28.7792 | − | 27.1005i | 0.0445498 | − | 0.0419513i | ||||
\(647\) | 278.716 | 0.430783 | 0.215391 | − | 0.976528i | \(-0.430897\pi\) | ||||
0.215391 | + | 0.976528i | \(0.430897\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1435.94i | 2.21254i | ||||||||
\(650\) | 167.167 | − | 157.417i | 0.257181 | − | 0.242180i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 143.626 | + | 162.005i | 0.220285 | + | 0.248474i | ||||
\(653\) | −185.375 | − | 691.828i | −0.283882 | − | 1.05946i | −0.949653 | − | 0.313304i | \(-0.898564\pi\) |
0.665771 | − | 0.746156i | \(-0.268103\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −837.113 | − | 1449.92i | −1.27803 | − | 2.21362i | ||||
\(656\) | 54.0381 | − | 72.0172i | 0.0823751 | − | 0.109782i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −100.563 | + | 162.694i | −0.152831 | + | 0.247255i | ||||
\(659\) | −251.743 | − | 67.4543i | −0.382007 | − | 0.102359i | 0.0627047 | − | 0.998032i | \(-0.480027\pi\) |
−0.444712 | + | 0.895674i | \(0.646694\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.0220 | + | 48.5988i | 0.0197005 | + | 0.0735232i | 0.975076 | − | 0.221870i | \(-0.0712160\pi\) |
−0.955376 | + | 0.295393i | \(0.904549\pi\) | |||||||
\(662\) | 131.510 | + | 39.5066i | 0.198655 | + | 0.0596776i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −628.584 | − | 230.801i | −0.946662 | − | 0.347592i | ||||
\(665\) | −135.473 | −0.203720 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 188.192 | − | 188.192i | 0.282147 | − | 0.282147i | ||||
\(668\) | 105.116 | − | 159.166i | 0.157359 | − | 0.238273i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1505.91 | − | 810.148i | 2.24763 | − | 1.20918i | ||||
\(671\) | 388.902 | + | 224.532i | 0.579585 | + | 0.334624i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −100.586 | − | 174.220i | −0.149459 | − | 0.258871i | 0.781568 | − | 0.623820i | \(-0.214420\pi\) |
−0.931028 | + | 0.364948i | \(0.881087\pi\) | |||||||
\(674\) | −38.8089 | + | 62.7862i | −0.0575799 | + | 0.0931546i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −578.402 | + | 289.120i | −0.855624 | + | 0.427692i | ||||
\(677\) | 116.729 | − | 435.638i | 0.172421 | − | 0.643483i | −0.824556 | − | 0.565781i | \(-0.808575\pi\) |
0.996977 | − | 0.0777025i | \(-0.0247584\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1183.47 | + | 683.277i | 1.74296 | + | 1.00630i | ||||
\(680\) | −130.699 | − | 753.688i | −0.192204 | − | 1.10837i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 579.884 | + | 615.803i | 0.850269 | + | 0.902937i | ||||
\(683\) | −412.234 | − | 412.234i | −0.603564 | − | 0.603564i | 0.337692 | − | 0.941257i | \(-0.390354\pi\) |
−0.941257 | + | 0.337692i | \(0.890354\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 955.866 | + | 955.866i | 1.39542 | + | 1.39542i | ||||
\(686\) | −1.97543 | + | 65.7586i | −0.00287963 | + | 0.0958581i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −383.124 | − | 153.880i | −0.556866 | − | 0.223663i | ||||
\(689\) | 86.8700 | + | 50.1544i | 0.126081 | + | 0.0727931i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.8188 | − | 77.6969i | 0.0301285 | − | 0.112441i | −0.949224 | − | 0.314601i | \(-0.898129\pi\) |
0.979353 | + | 0.202160i | \(0.0647960\pi\) | |||||||
\(692\) | 579.976 | + | 193.398i | 0.838116 | + | 0.279476i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −549.162 | + | 129.607i | −0.791299 | + | 0.186754i | ||||
\(695\) | −123.555 | − | 214.003i | −0.177776 | − | 0.307918i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −56.7697 | − | 32.7760i | −0.0814486 | − | 0.0470244i | ||||
\(698\) | −150.181 | + | 499.923i | −0.215159 | + | 0.716222i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −908.599 | + | 1375.80i | −1.29800 | + | 1.96543i | ||||
\(701\) | −462.921 | + | 462.921i | −0.660372 | + | 0.660372i | −0.955468 | − | 0.295095i | \(-0.904649\pi\) |
0.295095 | + | 0.955468i | \(0.404649\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 45.3278 | 0.0644776 | ||||||||
\(704\) | −474.487 | + | 1002.69i | −0.673987 | + | 1.42428i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −375.002 | + | 201.743i | −0.531165 | + | 0.285755i | ||||
\(707\) | −481.997 | − | 1798.84i | −0.681750 | − | 2.54432i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 708.278 | + | 189.782i | 0.998982 | + | 0.267676i | 0.721019 | − | 0.692916i | \(-0.243674\pi\) |
0.277963 | + | 0.960592i | \(0.410341\pi\) | |||||||
\(710\) | −1819.00 | + | 429.301i | −2.56198 | + | 0.604649i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −793.530 | − | 71.6869i | −1.11451 | − | 0.100684i | ||||
\(713\) | 404.468 | + | 700.559i | 0.567276 | + | 0.982551i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 99.7660 | + | 372.332i | 0.139533 | + | 0.520744i | ||||
\(716\) | 37.4644 | − | 33.2142i | 0.0523246 | − | 0.0463885i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −906.720 | − | 27.2384i | −1.26284 | − | 0.0379364i | ||||
\(719\) | 18.9955i | 0.0264193i | 0.999913 | + | 0.0132096i | \(0.00420488\pi\) | ||||
−0.999913 | + | 0.0132096i | \(0.995795\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −595.056 | −0.825321 | ||||||||
\(722\) | −21.5066 | + | 715.919i | −0.0297875 | + | 0.991578i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −83.1577 | + | 73.7236i | −0.114859 | + | 0.101828i | ||||
\(725\) | 328.590 | − | 88.0454i | 0.453228 | − | 0.121442i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −241.043 | + | 139.166i | −0.331558 | + | 0.191425i | −0.656533 | − | 0.754298i | \(-0.727978\pi\) |
0.324975 | + | 0.945723i | \(0.394644\pi\) | |||||||
\(728\) | −161.894 | + | 135.067i | −0.222382 | + | 0.185531i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −64.4871 | − | 273.240i | −0.0883385 | − | 0.374301i | ||||
\(731\) | −77.7997 | + | 290.353i | −0.106429 | + | 0.397199i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −984.880 | + | 263.898i | −1.34363 | + | 0.360024i | −0.857779 | − | 0.514018i | \(-0.828156\pi\) |
−0.485849 | + | 0.874043i | \(0.661490\pi\) | |||||||
\(734\) | 234.201 | + | 435.335i | 0.319075 | + | 0.593099i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −661.905 | + | 829.053i | −0.899327 | + | 1.12643i | ||||
\(737\) | 1805.45i | 2.44972i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 129.050 | + | 129.050i | 0.174628 | + | 0.174628i | 0.789009 | − | 0.614381i | \(-0.210594\pi\) |
−0.614381 | + | 0.789009i | \(0.710594\pi\) | |||||||
\(740\) | 483.361 | − | 731.906i | 0.653191 | − | 0.989062i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −689.801 | − | 207.222i | −0.929651 | − | 0.279274i | ||||
\(743\) | −85.7487 | + | 148.521i | −0.115409 | + | 0.199894i | −0.917943 | − | 0.396712i | \(-0.870151\pi\) |
0.802534 | + | 0.596606i | \(0.203484\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 954.178 | − | 550.895i | 1.28078 | − | 0.739456i | ||||
\(746\) | −118.541 | − | 502.273i | −0.158902 | − | 0.673288i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 766.158 | + | 255.481i | 1.02428 | + | 0.341553i | ||||
\(749\) | −847.409 | − | 227.063i | −1.13139 | − | 0.303154i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 355.011 | − | 614.897i | 0.472717 | − | 0.818771i | −0.526795 | − | 0.849992i | \(-0.676606\pi\) |
0.999512 | + | 0.0312217i | \(0.00993978\pi\) | |||||||
\(752\) | −144.672 | + | 61.7595i | −0.192383 | + | 0.0821270i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 43.4819 | + | 1.30622i | 0.0576683 | + | 0.00173239i | ||||
\(755\) | −313.925 | + | 313.925i | −0.415795 | + | 0.415795i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 342.380 | − | 342.380i | 0.452286 | − | 0.452286i | −0.443827 | − | 0.896113i | \(-0.646379\pi\) |
0.896113 | + | 0.443827i | \(0.146379\pi\) | |||||||
\(758\) | −27.9693 | + | 26.3378i | −0.0368988 | + | 0.0347465i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −91.0875 | − | 64.1648i | −0.119852 | − | 0.0844274i | ||||
\(761\) | 436.757 | − | 756.485i | 0.573925 | − | 0.994067i | −0.422233 | − | 0.906487i | \(-0.638754\pi\) |
0.996158 | − | 0.0875792i | \(-0.0279131\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1607.35 | + | 430.687i | 2.10661 | + | 0.564465i | ||||
\(764\) | 1205.01 | − | 602.335i | 1.57723 | − | 0.788396i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 158.266 | + | 97.8261i | 0.206614 | + | 0.127710i | ||||
\(767\) | −194.388 | + | 112.230i | −0.253440 | + | 0.146324i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 308.567 | − | 534.454i | 0.401258 | − | 0.694999i | −0.592620 | − | 0.805482i | \(-0.701906\pi\) |
0.993878 | + | 0.110483i | \(0.0352398\pi\) | |||||||
\(770\) | −1311.30 | − | 2437.45i | −1.70298 | − | 3.16552i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 205.807 | − | 311.633i | 0.266590 | − | 0.403670i | ||||
\(773\) | −187.872 | − | 187.872i | −0.243043 | − | 0.243043i | 0.575065 | − | 0.818108i | \(-0.304977\pi\) |
−0.818108 | + | 0.575065i | \(0.804977\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1033.97i | 1.33416i | ||||||||
\(776\) | 472.100 | + | 1019.94i | 0.608376 | + | 1.31436i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −176.413 | + | 587.246i | −0.226752 | + | 0.754815i | ||||
\(779\) | −9.22276 | + | 2.47123i | −0.0118392 | + | 0.00317231i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 510.726 | − | 1906.06i | 0.653939 | − | 2.44053i | ||||
\(782\) | 657.000 | + | 406.099i | 0.840154 | + | 0.519309i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 438.067 | − | 583.817i | 0.558758 | − | 0.744664i | ||||
\(785\) | −513.856 | + | 296.675i | −0.654593 | + | 0.377930i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 978.732 | − | 262.250i | 1.24362 | − | 0.333228i | 0.423754 | − | 0.905777i | \(-0.360712\pi\) |
0.819870 | + | 0.572549i | \(0.194046\pi\) | |||||||
\(788\) | −604.101 | − | 681.405i | −0.766626 | − | 0.864728i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −221.271 | − | 234.977i | −0.280090 | − | 0.297439i | ||||
\(791\) | 612.310 | 0.774096 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 70.1962i | 0.0885198i | ||||||||
\(794\) | 882.621 | + | 937.292i | 1.11161 | + | 1.18047i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.1007 | + | 167.967i | −0.0126894 | + | 0.211013i | ||||
\(797\) | −233.907 | − | 872.954i | −0.293485 | − | 1.09530i | −0.942413 | − | 0.334451i | \(-0.891449\pi\) |
0.648929 | − | 0.760849i | \(-0.275217\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 57.2630 | + | 99.1825i | 0.0716684 | + | 0.124133i | ||||
\(800\) | −1262.53 | + | 494.695i | −1.57817 | + | 0.618369i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1272.34 | + | 786.447i | 1.58646 | + | 0.980608i | ||||
\(803\) | 286.316 | + | 76.7183i | 0.356559 | + | 0.0955396i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −685.086 | − | 2556.77i | −0.851038 | − | 3.17612i | ||||
\(806\) | −38.0410 | + | 126.631i | −0.0471972 | + | 0.157111i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 527.913 | − | 1437.76i | 0.653357 | − | 1.77941i | ||||
\(809\) | −328.581 | −0.406157 | −0.203079 | − | 0.979162i | \(-0.565095\pi\) | ||||
−0.203079 | + | 0.979162i | \(0.565095\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 195.562 | − | 195.562i | 0.241137 | − | 0.241137i | −0.576183 | − | 0.817321i | \(-0.695459\pi\) |
0.817321 | + | 0.576183i | \(0.195459\pi\) | |||||||
\(812\) | −306.022 | + | 62.5872i | −0.376875 | + | 0.0770778i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 438.744 | + | 815.540i | 0.538997 | + | 1.00189i | ||||
\(815\) | −384.757 | − | 222.139i | −0.472094 | − | 0.272564i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 21.8919 | + | 37.9178i | 0.0267954 | + | 0.0464111i | ||||
\(818\) | −323.960 | − | 200.243i | −0.396039 | − | 0.244796i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −58.4458 | + | 175.272i | −0.0712754 | + | 0.213746i | ||||
\(821\) | 404.751 | − | 1510.55i | 0.492997 | − | 1.83989i | −0.0479719 | − | 0.998849i | \(-0.515276\pi\) |
0.540969 | − | 0.841042i | \(-0.318058\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 744.966 | + | 430.106i | 0.905183 | + | 0.522608i | 0.878878 | − | 0.477046i | \(-0.158293\pi\) |
0.0263048 | + | 0.999654i | \(0.491626\pi\) | |||||||
\(824\) | −400.094 | − | 281.839i | −0.485551 | − | 0.342037i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1173.36 | − | 1104.92i | 1.42053 | − | 1.33767i | ||||
\(827\) | 355.212 | + | 355.212i | 0.429519 | + | 0.429519i | 0.888465 | − | 0.458945i | \(-0.151773\pi\) |
−0.458945 | + | 0.888465i | \(0.651773\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 421.761 | + | 421.761i | 0.508759 | + | 0.508759i | 0.914145 | − | 0.405387i | \(-0.132863\pi\) |
−0.405387 | + | 0.914145i | \(0.632863\pi\) | |||||||
\(830\) | 1373.47 | + | 41.2598i | 1.65478 | + | 0.0497106i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −172.824 | + | 14.1356i | −0.207721 | + | 0.0169899i | ||||
\(833\) | −460.211 | − | 265.703i | −0.552474 | − | 0.318971i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −101.306 | + | 378.079i | −0.121325 | + | 0.452789i | ||||
\(836\) | 105.224 | − | 52.5972i | 0.125866 | − | 0.0629153i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −244.407 | − | 1035.58i | −0.291655 | − | 1.23578i | ||||
\(839\) | 223.741 | + | 387.530i | 0.266676 | + | 0.461896i | 0.968001 | − | 0.250945i | \(-0.0807414\pi\) |
−0.701326 | + | 0.712841i | \(0.747408\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −672.514 | − | 388.276i | −0.799660 | − | 0.461684i | ||||
\(842\) | −1243.96 | − | 373.695i | −1.47738 | − | 0.443818i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −82.8368 | + | 16.9416i | −0.0981479 | + | 0.0200730i | ||||
\(845\) | 938.284 | − | 938.284i | 1.11039 | − | 1.11039i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1745.28 | 2.06055 | ||||||||
\(848\) | −365.650 | − | 466.041i | −0.431191 | − | 0.549577i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 467.727 | + | 869.414i | 0.550267 | + | 1.02284i | ||||
\(851\) | 229.221 | + | 855.465i | 0.269355 | + | 1.00525i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 933.333 | + | 250.086i | 1.09418 | + | 0.293184i | 0.760391 | − | 0.649465i | \(-0.225007\pi\) |
0.333786 | + | 0.942649i | \(0.391674\pi\) | |||||||
\(854\) | −115.776 | − | 490.557i | −0.135569 | − | 0.574423i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −462.223 | − | 554.030i | −0.539980 | − | 0.647231i | ||||
\(857\) | 639.394 | + | 1107.46i | 0.746084 | + | 1.29226i | 0.949686 | + | 0.313202i | \(0.101402\pi\) |
−0.203602 | + | 0.979054i | \(0.565265\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −393.723 | − | 1469.39i | −0.458350 | − | 1.71059i | −0.678048 | − | 0.735018i | \(-0.737174\pi\) |
0.219698 | − | 0.975568i | \(-0.429493\pi\) | |||||||
\(860\) | 845.707 | + | 50.8569i | 0.983380 | + | 0.0591359i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.01691 | + | 33.8513i | −0.00117971 | + | 0.0392707i | ||||
\(863\) | 1121.29i | 1.29930i | 0.760235 | + | 0.649648i | \(0.225084\pi\) | ||||
−0.760235 | + | 0.649648i | \(0.774916\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1254.57 | −1.45037 | ||||||||
\(866\) | −1188.05 | − | 35.6898i | −1.37189 | − | 0.0412122i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 56.9896 | − | 947.688i | 0.0656562 | − | 1.09181i | ||||
\(869\) | 329.165 | − | 88.1996i | 0.378786 | − | 0.101495i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −244.410 | + | 141.110i | −0.280609 | + | 0.162009i | ||||
\(872\) | 876.733 | + | 1050.87i | 1.00543 | + | 1.20513i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 109.494 | − | 25.8415i | 0.125279 | − | 0.0295670i | ||||
\(875\) | 359.047 | − | 1339.98i | 0.410339 | − | 1.53141i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −892.541 | + | 239.156i | −1.01772 | + | 0.272697i | −0.728852 | − | 0.684672i | \(-0.759946\pi\) |
−0.288868 | + | 0.957369i | \(0.593279\pi\) | |||||||
\(878\) | −646.112 | + | 347.595i | −0.735891 | + | 0.395894i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 272.789 | − | 2259.93i | 0.309988 | − | 2.56810i | ||||
\(881\) | − | 1111.35i | − | 1.26146i | −0.776002 | − | 0.630730i | \(-0.782756\pi\) | ||
0.776002 | − | 0.630730i | \(-0.217244\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −779.205 | − | 779.205i | −0.882452 | − | 0.882452i | 0.111331 | − | 0.993783i | \(-0.464489\pi\) |
−0.993783 | + | 0.111331i | \(0.964489\pi\) | |||||||
\(884\) | 25.2960 | + | 123.686i | 0.0286154 | + | 0.139916i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 288.042 | − | 958.836i | 0.325104 | − | 1.08221i | ||||
\(887\) | −836.843 | + | 1449.46i | −0.943454 | + | 1.63411i | −0.184635 | + | 0.982807i | \(0.559110\pi\) |
−0.758818 | + | 0.651302i | \(0.774223\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −726.258 | + | 419.305i | −0.816938 | + | 0.471659i | ||||
\(890\) | 1591.28 | − | 375.557i | 1.78796 | − | 0.421974i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 130.992 | + | 262.058i | 0.146852 | + | 0.293787i | ||||
\(893\) | 16.1131 | + | 4.31749i | 0.0180438 | + | 0.00483482i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −51.3707 | + | 88.9766i | −0.0573974 | + | 0.0994152i | ||||
\(896\) | 1184.44 | − | 383.826i | 1.32192 | − | 0.428377i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −41.0845 | + | 1367.63i | −0.0457511 | + | 1.52298i | ||||
\(899\) | −138.513 | + | 138.513i | −0.154074 | + | 0.154074i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −304.958 | + | 304.958i | −0.338466 | + | 0.338466i | ||||
\(902\) | −133.733 | − | 142.017i | −0.148263 | − | 0.157446i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 411.695 | + | 290.011i | 0.455415 | + | 0.320808i | ||||
\(905\) | 114.025 | − | 197.496i | 0.125994 | − | 0.218228i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −928.848 | − | 248.884i | −1.02409 | − | 0.274403i | −0.292583 | − | 0.956240i | \(-0.594515\pi\) |
−0.731505 | + | 0.681837i | \(0.761182\pi\) | |||||||
\(908\) | −1136.74 | − | 379.053i | −1.25191 | − | 0.417459i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 227.478 | − | 368.022i | 0.249976 | − | 0.404420i | ||||
\(911\) | 1192.73 | − | 688.620i | 1.30925 | − | 0.755895i | 0.327278 | − | 0.944928i | \(-0.393869\pi\) |
0.981971 | + | 0.189033i | \(0.0605354\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −725.392 | + | 1256.42i | −0.794515 | + | 1.37614i | ||||
\(914\) | 1219.26 | − | 655.939i | 1.33399 | − | 0.717657i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 149.238 | + | 729.705i | 0.162924 | + | 0.796621i | ||||
\(917\) | −1402.94 | − | 1402.94i | −1.52992 | − | 1.52992i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1721.85i | 1.87361i | 0.349851 | + | 0.936805i | \(0.386232\pi\) | ||||
−0.349851 | + | 0.936805i | \(0.613768\pi\) | |||||||
\(920\) | 750.347 | − | 2043.56i | 0.815595 | − | 2.22126i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −734.636 | − | 220.691i | −0.796786 | − | 0.239361i | ||||
\(923\) | 297.948 | − | 79.8348i | 0.322803 | − | 0.0864949i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −292.988 | + | 1093.45i | −0.316744 | + | 1.18210i | ||||
\(926\) | −192.460 | + | 311.368i | −0.207840 | + | 0.336250i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −235.402 | − | 102.861i | −0.253666 | − | 0.110842i | ||||
\(929\) | −1270.78 | + | 733.688i | −1.36791 | + | 0.789761i | −0.990660 | − | 0.136353i | \(-0.956462\pi\) |
−0.377245 | + | 0.926113i | \(0.623129\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −74.7655 | + | 20.0334i | −0.0803067 | + | 0.0215181i | ||||
\(932\) | −623.798 | − | 37.5123i | −0.669311 | − | 0.0402493i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −516.524 | + | 486.395i | −0.553023 | + | 0.520766i | ||||
\(935\) | −1657.30 | −1.77252 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 801.474i | 0.855361i | 0.903930 | + | 0.427681i | \(0.140669\pi\) | ||||
−0.903930 | + | 0.427681i | \(0.859331\pi\) | |||||||
\(938\) | 1475.29 | − | 1389.24i | 1.57281 | − | 1.48107i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 241.540 | − | 214.137i | 0.256957 | − | 0.227806i | ||||
\(941\) | 20.6877 | + | 77.2074i | 0.0219848 | + | 0.0820482i | 0.976047 | − | 0.217561i | \(-0.0698102\pi\) |
−0.954062 | + | 0.299610i | \(0.903144\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −93.2785 | − | 161.563i | −0.0989167 | − | 0.171329i | ||||
\(944\) | 1312.25 | − | 187.164i | 1.39009 | − | 0.198267i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −470.321 | + | 760.901i | −0.497168 | + | 0.804335i | ||||
\(947\) | 844.141 | + | 226.187i | 0.891384 | + | 0.238846i | 0.675312 | − | 0.737532i | \(-0.264009\pi\) |
0.216072 | + | 0.976377i | \(0.430675\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 11.9923 | + | 44.7559i | 0.0126368 | + | 0.0471612i | ||||
\(950\) | 137.719 | + | 41.3718i | 0.144967 | + | 0.0435493i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −380.776 | − | 822.642i | −0.399974 | − | 0.864120i | ||||
\(953\) | −1763.84 | −1.85083 | −0.925415 | − | 0.378956i | \(-0.876283\pi\) | ||||
−0.925415 | + | 0.378956i | \(0.876283\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1954.76 | + | 1954.76i | −2.04687 | + | 2.04687i | ||||
\(956\) | −1043.47 | − | 689.123i | −1.09150 | − | 0.720840i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 237.161 | − | 127.588i | 0.247558 | − | 0.133181i | ||||
\(959\) | 1387.34 | + | 800.979i | 1.44665 | + | 0.835223i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 182.804 | + | 316.626i | 0.190223 | + | 0.329475i | ||||
\(962\) | −76.1115 | + | 123.136i | −0.0791179 | + | 0.128000i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −678.621 | − | 1357.62i | −0.703964 | − | 1.40832i | ||||
\(965\) | −198.348 | + | 740.245i | −0.205542 | + | 0.767094i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 242.348 | + | 139.920i | 0.250618 | + | 0.144695i | 0.620047 | − | 0.784564i | \(-0.287113\pi\) |
−0.369429 | + | 0.929259i | \(0.620447\pi\) | |||||||
\(968\) | 1173.46 | + | 826.625i | 1.21226 | + | 0.853951i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1581.10 | − | 1679.04i | −1.63000 | − | 1.73097i | ||||
\(971\) | −416.563 | − | 416.563i | −0.429004 | − | 0.429004i | 0.459285 | − | 0.888289i | \(-0.348106\pi\) |
−0.888289 | + | 0.459285i | \(0.848106\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −207.068 | − | 207.068i | −0.212814 | − | 0.212814i | ||||
\(974\) | −11.4384 | + | 380.764i | −0.0117437 | + | 0.390928i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 154.501 | − | 384.668i | 0.158300 | − | 0.394127i | ||||
\(977\) | 6.88893 | + | 3.97733i | 0.00705111 | + | 0.00407096i | 0.503521 | − | 0.863983i | \(-0.332038\pi\) |
−0.496470 | + | 0.868054i | \(0.665371\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −446.788 | + | 1667.44i | −0.456372 | + | 1.70320i | ||||
\(980\) | −473.799 | + | 1420.87i | −0.483468 | + | 1.44986i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 571.001 | − | 134.761i | 0.581468 | − | 0.137232i | ||||
\(983\) | 677.851 | + | 1174.07i | 0.689574 | + | 1.19438i | 0.971976 | + | 0.235081i | \(0.0755355\pi\) |
−0.282402 | + | 0.959296i | \(0.591131\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1618.31 | + | 934.333i | 1.64296 | + | 0.948562i | ||||
\(986\) | −53.8108 | + | 179.126i | −0.0545749 | + | 0.181669i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 15.3444 | + | 10.1337i | 0.0155308 | + | 0.0102567i | ||||
\(989\) | −604.912 | + | 604.912i | −0.611640 | + | 0.611640i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 991.305 | 1.00031 | 0.500154 | − | 0.865937i | \(-0.333277\pi\) | ||||
0.500154 | + | 0.865937i | \(0.333277\pi\) | |||||||
\(992\) | 487.175 | − | 610.199i | 0.491103 | − | 0.615120i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1950.50 | + | 1049.33i | −1.96227 | + | 1.05566i | ||||
\(995\) | −89.3699 | − | 333.533i | −0.0898190 | − | 0.335209i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1027.66 | − | 275.362i | −1.03076 | − | 0.276190i | −0.296478 | − | 0.955040i | \(-0.595812\pi\) |
−0.734278 | + | 0.678849i | \(0.762479\pi\) | |||||||
\(998\) | −270.097 | + | 63.7452i | −0.270638 | + | 0.0638730i | ||||
\(999\) | 0 | 0 |
(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 | 432.3.x.a.125.1 | 184 | ||
3.2 | odd | 2 | 144.3.w.a.77.46 | yes | 184 | ||
9.2 | odd | 6 | inner | 432.3.x.a.413.16 | 184 | ||
9.7 | even | 3 | 144.3.w.a.29.31 | yes | 184 | ||
16.5 | even | 4 | inner | 432.3.x.a.341.16 | 184 | ||
48.5 | odd | 4 | 144.3.w.a.5.31 | ✓ | 184 | ||
144.101 | odd | 12 | inner | 432.3.x.a.197.1 | 184 | ||
144.133 | even | 12 | 144.3.w.a.101.46 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.3.w.a.5.31 | ✓ | 184 | 48.5 | odd | 4 | ||
144.3.w.a.29.31 | yes | 184 | 9.7 | even | 3 | ||
144.3.w.a.77.46 | yes | 184 | 3.2 | odd | 2 | ||
144.3.w.a.101.46 | yes | 184 | 144.133 | even | 12 | ||
432.3.x.a.125.1 | 184 | 1.1 | even | 1 | trivial | ||
432.3.x.a.197.1 | 184 | 144.101 | odd | 12 | inner | ||
432.3.x.a.341.16 | 184 | 16.5 | even | 4 | inner | ||
432.3.x.a.413.16 | 184 | 9.2 | odd | 6 | inner |