Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(49,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.bf (of order \(18\), degree \(6\), 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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 216) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 49.8 | ||
Character | \(\chi\) | \(=\) | 864.49 |
Dual form | 864.2.bf.a.529.8 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −1.34903 | + | 1.08633i | −0.778865 | + | 0.627192i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.01754 | + | 2.79566i | 0.455056 | + | 1.25026i | 0.929124 | + | 0.369768i | \(0.120563\pi\) |
−0.474068 | + | 0.880488i | \(0.657215\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.349397 | − | 1.98153i | −0.132060 | − | 0.748947i | −0.976862 | − | 0.213869i | \(-0.931393\pi\) |
0.844803 | − | 0.535078i | \(-0.179718\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.639780 | − | 2.93099i | 0.213260 | − | 0.976995i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.51659 | − | 4.16680i | 0.457269 | − | 1.25634i | −0.470241 | − | 0.882538i | \(-0.655833\pi\) |
0.927510 | − | 0.373798i | \(-0.121945\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.650169 | − | 0.774841i | 0.180324 | − | 0.214902i | −0.668309 | − | 0.743884i | \(-0.732982\pi\) |
0.848633 | + | 0.528982i | \(0.177426\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.40969 | − | 2.66606i | −1.13858 | − | 0.688373i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.27371 | − | 5.67024i | 0.793992 | − | 1.37523i | −0.129486 | − | 0.991581i | \(-0.541333\pi\) |
0.923477 | − | 0.383653i | \(-0.125334\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.916008 | − | 0.528857i | 0.210147 | − | 0.121328i | −0.391233 | − | 0.920292i | \(-0.627951\pi\) |
0.601380 | + | 0.798963i | \(0.294618\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.62394 | + | 2.29359i | 0.572590 | + | 0.500501i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.627609 | − | 3.55935i | 0.130865 | − | 0.742175i | −0.846785 | − | 0.531936i | \(-0.821465\pi\) |
0.977650 | − | 0.210239i | \(-0.0674242\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.95010 | + | 2.47543i | −0.590021 | + | 0.495086i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.32093 | + | 4.64901i | 0.446663 | + | 0.894702i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.96383 | + | 2.34041i | 0.364675 | + | 0.434603i | 0.916915 | − | 0.399082i | \(-0.130671\pi\) |
−0.552240 | + | 0.833685i | \(0.686227\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.42354 | + | 8.07327i | −0.255675 | + | 1.45000i | 0.538661 | + | 0.842523i | \(0.318930\pi\) |
−0.794335 | + | 0.607480i | \(0.792181\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.48058 | + | 7.26866i | 0.431814 | + | 1.26531i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.18415 | − | 2.99307i | 0.876281 | − | 0.505921i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.07033 | + | 1.77266i | 0.504759 | + | 0.291423i | 0.730677 | − | 0.682724i | \(-0.239205\pi\) |
−0.225918 | + | 0.974146i | \(0.572538\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.0353672 | + | 1.75158i | −0.00566329 | + | 0.280478i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.68484 | − | 6.44835i | −1.20017 | − | 1.00706i | −0.999625 | − | 0.0273783i | \(-0.991284\pi\) |
−0.200545 | − | 0.979684i | \(-0.564271\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.32782 | − | 3.64816i | 0.202491 | − | 0.556339i | −0.796331 | − | 0.604861i | \(-0.793229\pi\) |
0.998822 | + | 0.0485216i | \(0.0154510\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 8.84504 | − | 1.19378i | 1.31854 | − | 0.177958i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.19526 | + | 6.77867i | 0.174347 | + | 0.988771i | 0.938895 | + | 0.344204i | \(0.111851\pi\) |
−0.764548 | + | 0.644567i | \(0.777038\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.77348 | − | 1.00946i | 0.396211 | − | 0.144209i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.74339 | + | 11.2057i | 0.244124 | + | 1.56911i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 7.11001i | − | 0.976635i | −0.872666 | − | 0.488317i | \(-0.837611\pi\) | ||
0.872666 | − | 0.488317i | \(-0.162389\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 13.1921 | 1.77883 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.661212 | + | 1.70853i | −0.0875797 | + | 0.226301i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 4.18952 | + | 11.5106i | 0.545429 | + | 1.49855i | 0.839818 | + | 0.542868i | \(0.182662\pi\) |
−0.294389 | + | 0.955686i | \(0.595116\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.57705 | + | 1.15971i | −0.842105 | + | 0.148486i | −0.578029 | − | 0.816016i | \(-0.696178\pi\) |
−0.264076 | + | 0.964502i | \(0.585067\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.03136 | − | 0.243665i | −0.759881 | − | 0.0306989i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.82776 | + | 1.02922i | 0.350741 | + | 0.127659i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.910019 | − | 1.08452i | 0.111177 | − | 0.132495i | −0.707586 | − | 0.706627i | \(-0.750216\pi\) |
0.818763 | + | 0.574132i | \(0.194660\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.01995 | + | 5.48346i | 0.363560 | + | 0.660132i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.98248 | − | 12.0940i | 0.828668 | − | 1.43529i | −0.0704159 | − | 0.997518i | \(-0.522433\pi\) |
0.899084 | − | 0.437777i | \(-0.144234\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.31517 | + | 9.20614i | 0.622093 | + | 1.07750i | 0.989095 | + | 0.147277i | \(0.0470508\pi\) |
−0.367002 | + | 0.930220i | \(0.619616\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.29066 | − | 6.54422i | 0.149032 | − | 0.755661i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −8.78651 | − | 1.54930i | −1.00132 | − | 0.176559i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.12725 | − | 7.65867i | 1.02690 | − | 0.861668i | 0.0364172 | − | 0.999337i | \(-0.488405\pi\) |
0.990478 | + | 0.137669i | \(0.0439610\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.18136 | − | 3.75037i | −0.909040 | − | 0.416708i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.79613 | − | 5.71581i | −0.526444 | − | 0.627392i | 0.435648 | − | 0.900117i | \(-0.356519\pi\) |
−0.962092 | + | 0.272726i | \(0.912075\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 19.1832 | + | 3.38251i | 2.08071 | + | 0.366885i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.19173 | − | 1.02392i | −0.556612 | − | 0.109775i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.19380 | − | 5.53182i | −0.338542 | − | 0.586371i | 0.645617 | − | 0.763661i | \(-0.276600\pi\) |
−0.984159 | + | 0.177290i | \(0.943267\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.76254 | − | 1.01760i | −0.184764 | − | 0.106674i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −6.84983 | − | 12.4375i | −0.710294 | − | 1.28971i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.41058 | + | 2.02271i | 0.247320 | + | 0.207526i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.73985 | + | 2.81708i | 0.785863 | + | 0.286031i | 0.703615 | − | 0.710581i | \(-0.251568\pi\) |
0.0822478 | + | 0.996612i | \(0.473790\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −11.2425 | − | 7.11094i | −1.12992 | − | 0.714676i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −14.4452 | + | 2.54709i | −1.43736 | + | 0.253445i | −0.837401 | − | 0.546589i | \(-0.815926\pi\) |
−0.599955 | + | 0.800034i | \(0.704815\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.22120 | − | 0.808450i | 0.218861 | − | 0.0796589i | −0.230263 | − | 0.973129i | \(-0.573958\pi\) |
0.449124 | + | 0.893470i | \(0.351736\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.74213 | + | 9.66944i | −0.365194 | + | 0.943640i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.59548i | 0.830956i | 0.909603 | + | 0.415478i | \(0.136386\pi\) | ||||
−0.909603 | + | 0.415478i | \(0.863614\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 8.57665i | − | 0.821494i | −0.911749 | − | 0.410747i | \(-0.865268\pi\) | ||
0.911749 | − | 0.410747i | \(-0.134732\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.06766 | + | 0.944016i | −0.575917 | + | 0.0896020i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.60462 | − | 2.40389i | 0.621310 | − | 0.226139i | −0.0121343 | − | 0.999926i | \(-0.503863\pi\) |
0.633445 | + | 0.773788i | \(0.281640\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 10.5893 | − | 1.86718i | 0.987460 | − | 0.174116i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.85508 | − | 2.40136i | −0.171503 | − | 0.222006i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −12.3795 | − | 4.50579i | −1.13483 | − | 0.413045i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.63566 | − | 5.56798i | −0.603242 | − | 0.506180i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 17.3721 | + | 0.350771i | 1.56639 | + | 0.0316279i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.96017 | + | 1.70905i | 0.264766 | + | 0.152862i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.55918 | + | 2.70057i | 0.138355 | + | 0.239637i | 0.926874 | − | 0.375373i | \(-0.122485\pi\) |
−0.788519 | + | 0.615010i | \(0.789152\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.17183 | + | 6.36394i | 0.191219 | + | 0.560314i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.90861 | − | 1.21817i | −0.603608 | − | 0.106432i | −0.136511 | − | 0.990639i | \(-0.543589\pi\) |
−0.467097 | + | 0.884206i | \(0.654700\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.36800 | − | 1.63031i | −0.118620 | − | 0.141366i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −10.6354 | + | 11.2191i | −0.915350 | + | 0.965583i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 13.7097 | − | 11.5038i | 1.17130 | − | 0.982839i | 0.171305 | − | 0.985218i | \(-0.445202\pi\) |
0.999997 | + | 0.00237903i | \(0.000757270\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.43645 | − | 0.253285i | −0.121838 | − | 0.0214834i | 0.112397 | − | 0.993663i | \(-0.464147\pi\) |
−0.234235 | + | 0.972180i | \(0.575258\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.97632 | − | 7.84621i | −0.755942 | − | 0.660770i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −2.24257 | − | 3.88424i | −0.187533 | − | 0.324816i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.54470 | + | 7.87166i | −0.377417 | + | 0.653706i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.64490 | + | 4.37471i | −0.218148 | + | 0.360820i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −10.0991 | + | 12.0356i | −0.827350 | + | 0.985998i | 0.172649 | + | 0.984983i | \(0.444767\pi\) |
−0.999999 | + | 0.00101449i | \(0.999677\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.63579 | − | 2.77920i | −0.621392 | − | 0.226168i | 0.0120883 | − | 0.999927i | \(-0.496152\pi\) |
−0.633480 | + | 0.773759i | \(0.718374\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −14.5249 | − | 13.2229i | −1.17427 | − | 1.06901i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −24.0186 | + | 4.23513i | −1.92922 | + | 0.340174i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.71655 | + | 10.2111i | 0.296613 | + | 0.814938i | 0.995060 | + | 0.0992761i | \(0.0316527\pi\) |
−0.698447 | + | 0.715662i | \(0.746125\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 7.72380 | + | 9.59163i | 0.612537 | + | 0.760666i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.27222 | −0.573131 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.5578i | 1.06193i | 0.847395 | + | 0.530963i | \(0.178170\pi\) | ||||
−0.847395 | + | 0.530963i | \(0.821830\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −17.7966 | + | 14.3310i | −1.38546 | + | 1.11567i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 5.51744 | − | 2.00819i | 0.426953 | − | 0.155398i | −0.119601 | − | 0.992822i | \(-0.538162\pi\) |
0.546554 | + | 0.837424i | \(0.315939\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.07977 | + | 11.7949i | 0.159982 | + | 0.907303i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.964030 | − | 3.02316i | −0.0737212 | − | 0.231187i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.91383 | − | 16.2481i | 0.449620 | − | 1.23532i | −0.483369 | − | 0.875417i | \(-0.660587\pi\) |
0.932989 | − | 0.359905i | \(-0.117191\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.93589 | + | 4.98080i | 0.448711 | + | 0.376513i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −18.1561 | − | 10.9770i | −1.36470 | − | 0.825081i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.18882 | − | 2.99577i | −0.387831 | − | 0.223914i | 0.293389 | − | 0.955993i | \(-0.405217\pi\) |
−0.681220 | + | 0.732079i | \(0.738550\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.3375 | + | 11.1645i | −1.43734 | + | 0.829850i | −0.997664 | − | 0.0683064i | \(-0.978240\pi\) |
−0.439677 | + | 0.898156i | \(0.644907\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.61283 | − | 8.70933i | 0.562757 | − | 0.643812i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.83157 | + | 10.3873i | −0.134659 | + | 0.763692i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −18.6618 | − | 22.2403i | −1.36469 | − | 1.62637i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 8.40121 | − | 6.22333i | 0.611098 | − | 0.452681i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.79513 | + | 6.54089i | −0.564036 | + | 0.473282i | −0.879661 | − | 0.475602i | \(-0.842230\pi\) |
0.315625 | + | 0.948884i | \(0.397786\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.500646 | − | 2.83931i | 0.0360373 | − | 0.204378i | −0.961473 | − | 0.274900i | \(-0.911355\pi\) |
0.997510 | + | 0.0705220i | \(0.0224665\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.93282 | + | 1.68343i | −0.353246 | + | 0.120553i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.17911 | − | 5.29956i | 0.653984 | − | 0.377578i | −0.135997 | − | 0.990709i | \(-0.543424\pi\) |
0.789981 | + | 0.613131i | \(0.210090\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.6904 | + | 20.2483i | −0.828708 | + | 1.43537i | 0.0703434 | + | 0.997523i | \(0.477590\pi\) |
−0.899052 | + | 0.437842i | \(0.855743\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.0495023 | + | 2.45163i | −0.00349162 | + | 0.172925i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.95142 | − | 4.70912i | 0.277335 | − | 0.330515i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.2078 | − | 28.0456i | 0.712942 | − | 1.95879i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −10.0309 | − | 4.11671i | −0.697193 | − | 0.286131i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.814433 | − | 4.61888i | −0.0563355 | − | 0.319495i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.0791638 | + | 0.217501i | 0.00544986 | + | 0.0149734i | 0.942388 | − | 0.334523i | \(-0.108575\pi\) |
−0.936938 | + | 0.349496i | \(0.886353\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.71847 | + | 23.9005i | 0.254786 | + | 1.63763i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 11.5501 | 0.787711 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.4948 | 1.11974 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −17.1712 | − | 6.64537i | −1.16032 | − | 0.449052i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.26507 | − | 6.22322i | −0.152365 | − | 0.418619i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.23427 | + | 6.99987i | 0.0826526 | + | 0.468746i | 0.997838 | + | 0.0657141i | \(0.0209325\pi\) |
−0.915186 | + | 0.403032i | \(0.867956\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.36803 | + | 10.2304i | 0.357869 | + | 0.682030i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 8.64915 | − | 23.7633i | 0.574064 | − | 1.57723i | −0.223957 | − | 0.974599i | \(-0.571898\pi\) |
0.798021 | − | 0.602629i | \(-0.205880\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.59262 | − | 4.28151i | 0.237407 | − | 0.282930i | −0.634166 | − | 0.773197i | \(-0.718656\pi\) |
0.871572 | + | 0.490267i | \(0.163101\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.5363 | − | 7.45498i | 0.890626 | − | 0.490502i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −6.23001 | + | 10.7907i | −0.408141 | + | 0.706921i | −0.994681 | − | 0.102999i | \(-0.967156\pi\) |
0.586540 | + | 0.809920i | \(0.300490\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −17.7346 | + | 10.2391i | −1.15688 | + | 0.667925i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.99313 | + | 20.2470i | −0.259381 | + | 1.31518i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.84127 | − | 21.7849i | 0.248471 | − | 1.40915i | −0.563820 | − | 0.825897i | \(-0.690669\pi\) |
0.812291 | − | 0.583252i | \(-0.198220\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.87526 | + | 1.57353i | −0.120796 | + | 0.101360i | −0.701185 | − | 0.712980i | \(-0.747345\pi\) |
0.580388 | + | 0.814340i | \(0.302901\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.1111 | − | 3.82827i | 0.969375 | − | 0.245584i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 5.64423 | + | 6.72653i | 0.360597 | + | 0.429742i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.185779 | − | 1.05361i | 0.0118209 | − | 0.0670394i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 12.6794 | + | 2.50064i | 0.803524 | + | 0.158472i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.113257 | + | 0.0653892i | −0.00714874 | + | 0.00412733i | −0.503570 | − | 0.863954i | \(-0.667980\pi\) |
0.496421 | + | 0.868082i | \(0.334647\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.8792 | − | 8.01319i | −0.872581 | − | 0.503785i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −29.5532 | + | 16.2761i | −1.85070 | + | 1.01925i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 17.8423 | + | 14.9715i | 1.11297 | + | 0.933894i | 0.998228 | − | 0.0595012i | \(-0.0189510\pi\) |
0.114743 | + | 0.993395i | \(0.463395\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.43980 | − | 6.70330i | 0.151602 | − | 0.416523i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 8.11612 | − | 4.25863i | 0.502375 | − | 0.263602i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.21695 | − | 12.5730i | −0.136703 | − | 0.775282i | −0.973659 | − | 0.228011i | \(-0.926778\pi\) |
0.836955 | − | 0.547271i | \(-0.184333\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 19.8771 | − | 7.23469i | 1.22104 | − | 0.444424i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 10.3179 | + | 3.99309i | 0.631446 | + | 0.244373i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 17.0793i | − | 1.04134i | −0.853757 | − | 0.520671i | \(-0.825682\pi\) | ||
0.853757 | − | 0.520671i | \(-0.174318\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.33081 | 0.506061 | 0.253030 | − | 0.967458i | \(-0.418573\pi\) | ||||
0.253030 | + | 0.967458i | \(0.418573\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 3.48317 | − | 0.541916i | 0.210811 | − | 0.0327983i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.84052 | + | 16.0467i | 0.352197 | + | 0.967652i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −18.3112 | + | 3.22875i | −1.10021 | + | 0.193997i | −0.694137 | − | 0.719843i | \(-0.744214\pi\) |
−0.406075 | + | 0.913840i | \(0.633103\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 22.7519 | + | 9.33748i | 1.36212 | + | 0.559020i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.82507 | − | 2.48412i | −0.407150 | − | 0.148190i | 0.130323 | − | 0.991472i | \(-0.458399\pi\) |
−0.537473 | + | 0.843281i | \(0.680621\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.81006 | + | 3.34889i | −0.167041 | + | 0.199071i | −0.843071 | − | 0.537803i | \(-0.819254\pi\) |
0.676030 | + | 0.736874i | \(0.263699\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −5.44928 | − | 0.110030i | −0.322787 | − | 0.00651759i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −10.0925 | + | 17.4807i | −0.595742 | + | 1.03186i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.9344 | − | 22.4030i | −0.760846 | − | 1.31782i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −13.5016 | + | 4.60770i | −0.791477 | + | 0.270108i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 15.1582 | + | 2.67279i | 0.885550 | + | 0.156146i | 0.597882 | − | 0.801584i | \(-0.296009\pi\) |
0.287668 | + | 0.957730i | \(0.407120\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −27.9167 | + | 23.4249i | −1.62538 | + | 1.36385i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 22.8914 | − | 2.62020i | 1.32829 | − | 0.152040i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.34988 | − | 2.80047i | −0.135897 | − | 0.161956i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.69286 | − | 1.35646i | −0.443409 | − | 0.0781850i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 16.7201 | − | 19.1284i | 0.960547 | − | 1.09890i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −9.93455 | − | 17.2071i | −0.568851 | − | 0.985278i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.19235 | + | 0.688405i | 0.0680511 | + | 0.0392893i | 0.533639 | − | 0.845712i | \(-0.320824\pi\) |
−0.465588 | + | 0.885001i | \(0.654157\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.11823 | + | 3.50358i | −0.120502 | + | 0.199311i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.18602 | + | 0.995190i | 0.0672531 | + | 0.0564320i | 0.675795 | − | 0.737090i | \(-0.263801\pi\) |
−0.608541 | + | 0.793522i | \(0.708245\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.87251 | − | 1.40948i | −0.218887 | − | 0.0796684i | 0.230249 | − | 0.973132i | \(-0.426046\pi\) |
−0.449136 | + | 0.893463i | \(0.648268\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.45593 | − | 17.1096i | −0.307407 | − | 0.964015i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.88959 | + | 1.03849i | −0.330792 | + | 0.0583276i | −0.336578 | − | 0.941656i | \(-0.609269\pi\) |
0.00578564 | + | 0.999983i | \(0.498158\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.7303 | − | 4.63346i | 0.712762 | − | 0.259424i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −9.33752 | − | 11.5956i | −0.521169 | − | 0.647203i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 6.92531i | − | 0.385334i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.89531i | 0.216073i | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 9.31706 | + | 11.5702i | 0.515234 | + | 0.639832i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 13.0145 | − | 4.73689i | 0.717513 | − | 0.261153i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 29.6474 | − | 5.22764i | 1.62957 | − | 0.287337i | 0.717250 | − | 0.696816i | \(-0.245400\pi\) |
0.912320 | + | 0.409478i | \(0.134289\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 7.15997 | − | 7.86498i | 0.392364 | − | 0.430998i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.95792 | + | 1.44057i | 0.216244 | + | 0.0787065i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.6718 | + | 11.4720i | 0.744750 | + | 0.624919i | 0.934109 | − | 0.356989i | \(-0.116197\pi\) |
−0.189359 | + | 0.981908i | \(0.560641\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −6.29844 | + | 10.4177i | −0.342084 | + | 0.565812i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 31.4808 | + | 18.1754i | 1.70478 | + | 0.984255i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0117 | − | 17.3407i | −0.540579 | − | 0.936310i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −12.2570 | + | 14.0224i | −0.659894 | + | 0.754940i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.08430 | − | 0.543845i | −0.165574 | − | 0.0291951i | 0.0902466 | − | 0.995919i | \(-0.471234\pi\) |
−0.255820 | + | 0.966724i | \(0.582346\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.33211 | − | 3.97105i | −0.178364 | − | 0.212565i | 0.669454 | − | 0.742854i | \(-0.266528\pi\) |
−0.847817 | + | 0.530288i | \(0.822084\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.11124 | + | 1.22429i | 0.272818 | + | 0.0653477i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −21.0874 | + | 17.6945i | −1.12237 | + | 0.941781i | −0.998722 | − | 0.0505449i | \(-0.983904\pi\) |
−0.123649 | + | 0.992326i | \(0.539460\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 40.9156 | + | 7.21453i | 2.17158 | + | 0.382908i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 21.5952 | − | 7.36980i | 1.14294 | − | 0.390051i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −0.214812 | − | 0.372066i | −0.0113374 | − | 0.0196369i | 0.860301 | − | 0.509786i | \(-0.170276\pi\) |
−0.871638 | + | 0.490149i | \(0.836942\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.94062 | + | 15.4856i | −0.470559 | + | 0.815032i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 15.0004 | + | 0.302881i | 0.787316 | + | 0.0158972i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −20.3288 | + | 24.2270i | −1.06406 | + | 1.26810i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.09024 | − | 2.94460i | −0.422307 | − | 0.153707i | 0.122120 | − | 0.992515i | \(-0.461031\pi\) |
−0.544427 | + | 0.838808i | \(0.683253\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −23.8166 | + | 18.3986i | −1.23984 | + | 0.957795i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −14.0887 | + | 2.48421i | −0.731447 | + | 0.128974i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.53886 | + | 6.97545i | 0.131457 | + | 0.361175i | 0.987905 | − | 0.155057i | \(-0.0495563\pi\) |
−0.856449 | + | 0.516232i | \(0.827334\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.84996 | + | 0.910146i | −0.302091 | + | 0.0469997i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 3.09027 | 0.159157 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.22435i | 0.473823i | 0.971531 | + | 0.236911i | \(0.0761351\pi\) | ||||
−0.971531 | + | 0.236911i | \(0.923865\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −5.03709 | − | 1.94938i | −0.258058 | − | 0.0998699i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −12.3981 | + | 4.51256i | −0.633516 | + | 0.230581i | −0.638761 | − | 0.769405i | \(-0.720553\pi\) |
0.00524510 | + | 0.999986i | \(0.498330\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.60928 | − | 26.1405i | −0.234911 | − | 1.33225i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −9.84319 | − | 6.22585i | −0.500358 | − | 0.316478i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −3.89331 | + | 10.6968i | −0.197399 | + | 0.542348i | −0.998414 | − | 0.0562953i | \(-0.982071\pi\) |
0.801016 | + | 0.598644i | \(0.204293\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.1277 | − | 15.2110i | −0.916758 | − | 0.769251i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 10.6433 | − | 5.86166i | 0.536882 | − | 0.295682i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 30.6983 | + | 17.7237i | 1.54460 | + | 0.891776i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.689201 | − | 0.397910i | 0.0345900 | − | 0.0199705i | −0.482605 | − | 0.875838i | \(-0.660309\pi\) |
0.517195 | + | 0.855867i | \(0.326976\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.61653 | + | 0.713254i | 0.181053 | + | 0.0357074i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.96800 | + | 22.5036i | −0.198152 | + | 1.12378i | 0.709705 | + | 0.704499i | \(0.248828\pi\) |
−0.907858 | + | 0.419279i | \(0.862283\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.32997 | + | 6.35201i | 0.265504 | + | 0.316416i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.15993 | − | 26.6884i | 0.107328 | − | 1.32616i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 12.0427 | − | 10.1050i | 0.596936 | − | 0.500889i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.08287 | − | 23.1551i | 0.201885 | − | 1.14494i | −0.700383 | − | 0.713768i | \(-0.746987\pi\) |
0.902267 | − | 0.431177i | \(-0.141902\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.99794 | + | 30.4123i | −0.295857 | + | 1.50013i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 21.3448 | − | 12.3234i | 1.05031 | − | 0.606395i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.0992 | − | 19.2244i | 0.544839 | − | 0.943689i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.21297 | − | 1.21877i | 0.108370 | − | 0.0596833i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.80387 | + | 8.10854i | −0.332391 | + | 0.396128i | −0.906192 | − | 0.422867i | \(-0.861024\pi\) |
0.573801 | + | 0.818995i | \(0.305468\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.48899 | + | 6.83843i | −0.121306 | + | 0.333285i | −0.985452 | − | 0.169957i | \(-0.945637\pi\) |
0.864146 | + | 0.503242i | \(0.167859\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 20.6329 | + | 0.833562i | 1.00321 | + | 0.0405292i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.37848 | + | 24.8316i | 0.212388 | + | 1.20451i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.59600 | + | 12.6274i | 0.222416 | + | 0.611083i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 7.24486 | + | 2.80380i | 0.349785 | + | 0.135369i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.0983 | −0.679093 | −0.339546 | − | 0.940589i | \(-0.610274\pi\) | ||||
−0.339546 | + | 0.940589i | \(0.610274\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.4760 | −0.743729 | −0.371864 | − | 0.928287i | \(-0.621281\pi\) | ||||
−0.371864 | + | 0.928287i | \(0.621281\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.42025 | − | 15.5562i | −0.116042 | − | 0.745861i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.30749 | − | 3.59231i | −0.0625458 | − | 0.171843i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.66041 | + | 9.41668i | 0.0792473 | + | 0.449433i | 0.998450 | + | 0.0556497i | \(0.0177230\pi\) |
−0.919203 | + | 0.393784i | \(0.871166\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.18431 | − | 8.77486i | −0.0563956 | − | 0.417851i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.155479 | + | 0.427176i | −0.00738705 | + | 0.0202957i | −0.943331 | − | 0.331852i | \(-0.892326\pi\) |
0.935944 | + | 0.352148i | \(0.114549\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.2153 | − | 14.5576i | 0.579059 | − | 0.690096i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.549361 | − | 27.2074i | 0.0259839 | − | 1.28687i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.88563 | − | 10.1942i | 0.277760 | − | 0.481094i | −0.693068 | − | 0.720872i | \(-0.743741\pi\) |
0.970828 | + | 0.239778i | \(0.0770747\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −38.5237 | + | 22.2417i | −1.81401 | + | 1.04732i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 13.3201 | − | 4.54575i | 0.625831 | − | 0.213578i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.05142 | − | 5.96289i | 0.0492913 | − | 0.279545i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.3541 | + | 12.8836i | −0.718232 | + | 0.602669i | −0.926896 | − | 0.375319i | \(-0.877533\pi\) |
0.208663 | + | 0.977988i | \(0.433089\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 33.9590 | + | 2.05930i | 1.58507 | + | 0.0961198i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −20.1626 | − | 24.0288i | −0.939064 | − | 1.11913i | −0.992705 | − | 0.120573i | \(-0.961527\pi\) |
0.0536406 | − | 0.998560i | \(-0.482917\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.55213 | − | 25.8164i | 0.211555 | − | 1.19979i | −0.675230 | − | 0.737607i | \(-0.735956\pi\) |
0.886785 | − | 0.462182i | \(-0.152933\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 27.8012 | − | 31.8054i | 1.28925 | − | 1.47494i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 10.9748 | − | 6.33628i | 0.507851 | − | 0.293208i | −0.224099 | − | 0.974566i | \(-0.571944\pi\) |
0.731950 | + | 0.681358i | \(0.238610\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.46696 | − | 1.42430i | −0.113914 | − | 0.0657680i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −16.1064 | − | 9.73778i | −0.742144 | − | 0.448693i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −13.1874 | − | 11.0655i | −0.606356 | − | 0.508793i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.39317 | + | 3.82770i | −0.0639229 | + | 0.175627i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −20.8393 | − | 4.54884i | −0.954168 | − | 0.208277i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.27041 | + | 24.2187i | 0.195120 | + | 1.10658i | 0.912248 | + | 0.409639i | \(0.134345\pi\) |
−0.717128 | + | 0.696942i | \(0.754544\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.36976 | − | 1.22649i | 0.153648 | − | 0.0559232i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 9.81047 | − | 7.90002i | 0.446392 | − | 0.359464i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 24.5045i | 1.11269i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 20.5101 | 0.929400 | 0.464700 | − | 0.885468i | \(-0.346162\pi\) | ||||
0.464700 | + | 0.885468i | \(0.346162\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −14.7282 | − | 18.2899i | −0.666032 | − | 0.827097i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.320432 | + | 0.880380i | 0.0144609 | + | 0.0397310i | 0.946713 | − | 0.322078i | \(-0.104381\pi\) |
−0.932252 | + | 0.361809i | \(0.882159\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.6997 | − | 3.47359i | 0.887229 | − | 0.156442i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.44006 | − | 38.6659i | 0.379353 | − | 1.73790i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −26.4043 | − | 9.61036i | −1.18439 | − | 0.431084i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.03395 | − | 8.38274i | 0.314883 | − | 0.375263i | −0.585269 | − | 0.810839i | \(-0.699011\pi\) |
0.900152 | + | 0.435576i | \(0.143455\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.26166 | + | 8.70287i | −0.235074 | + | 0.388815i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −3.13866 | + | 5.43632i | −0.139946 | + | 0.242394i | −0.927476 | − | 0.373883i | \(-0.878026\pi\) |
0.787530 | + | 0.616276i | \(0.211360\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −21.8193 | − | 37.7922i | −0.970948 | − | 1.68173i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −15.6189 | − | 13.6525i | −0.693658 | − | 0.606327i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 37.6835 | + | 6.64461i | 1.67029 | + | 0.294517i | 0.927170 | − | 0.374641i | \(-0.122234\pi\) |
0.743120 | + | 0.669158i | \(0.233345\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.3851 | − | 13.7487i | 0.724834 | − | 0.608208i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.58465 | + | 3.03109i | 0.202417 | + | 0.133826i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 4.52030 | + | 5.38708i | 0.199188 | + | 0.237383i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 30.0581 | + | 5.30005i | 1.32195 | + | 0.233096i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 9.67284 | + | 28.3436i | 0.424591 | + | 1.24415i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.4720 | + | 23.3341i | 0.590217 | + | 1.02229i | 0.994203 | + | 0.107521i | \(0.0342912\pi\) |
−0.403986 | + | 0.914765i | \(0.632375\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 28.7103 | + | 16.5759i | 1.25541 | + | 0.724813i | 0.972179 | − | 0.234237i | \(-0.0752593\pi\) |
0.283234 | + | 0.959051i | \(0.408593\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −13.4185 | − | 0.270941i | −0.585631 | − | 0.0118248i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 41.1171 | + | 34.5013i | 1.79109 | + | 1.50290i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.33788 | + | 3.39871i | 0.405995 | + | 0.147770i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 36.4178 | − | 4.91516i | 1.58040 | − | 0.213300i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −9.99289 | + | 1.76202i | −0.432840 | + | 0.0763214i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −24.0300 | + | 8.74621i | −1.03891 | + | 0.378132i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 10.2543 | − | 1.59538i | 0.442505 | − | 0.0688456i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 13.0875i | − | 0.563717i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 32.6539i | 1.40390i | 0.712227 | + | 0.701949i | \(0.247687\pi\) | ||||
−0.712227 | + | 0.701949i | \(0.752313\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 13.9586 | − | 36.0681i | 0.599019 | − | 1.54783i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 23.9774 | − | 8.72705i | 1.02708 | − | 0.373826i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −41.4271 | + | 7.30472i | −1.77130 | + | 0.312327i | −0.961586 | − | 0.274504i | \(-0.911486\pi\) |
−0.809709 | + | 0.586831i | \(0.800375\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.808769 | + | 20.0192i | −0.0345174 | + | 0.854399i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.03663 | + | 1.10524i | 0.129365 | + | 0.0470849i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −18.3649 | − | 15.4100i | −0.780954 | − | 0.655299i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −8.81321 | − | 16.0025i | −0.374100 | − | 0.679270i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −29.8243 | − | 17.2191i | −1.26370 | − | 0.729596i | −0.289909 | − | 0.957054i | \(-0.593625\pi\) |
−0.973788 | + | 0.227459i | \(0.926958\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.96344 | − | 3.40077i | −0.0830445 | − | 0.143837i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 49.3357 | + | 9.73003i | 2.08296 | + | 0.410802i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 8.29224 | + | 1.46215i | 0.349476 | + | 0.0616221i | 0.345631 | − | 0.938371i | \(-0.387665\pi\) |
0.00384529 | + | 0.999993i | \(0.498776\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.4409 | + | 16.0182i | 0.565462 | + | 0.673892i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −4.57293 | + | 17.5220i | −0.192045 | + | 0.735853i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0.141118 | − | 0.118412i | 0.00591598 | − | 0.00496410i | −0.639825 | − | 0.768521i | \(-0.720993\pi\) |
0.645741 | + | 0.763557i | \(0.276549\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.1765 | − | 2.67603i | −0.635119 | − | 0.111989i | −0.153187 | − | 0.988197i | \(-0.548954\pi\) |
−0.481932 | + | 0.876209i | \(0.660065\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.41033 | − | 17.2920i | 0.142469 | − | 0.722382i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.95940 | + | 12.0540i | 0.290227 | + | 0.502688i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −18.1357 | + | 31.4120i | −0.755001 | + | 1.30770i | 0.190373 | + | 0.981712i | \(0.439030\pi\) |
−0.945374 | + | 0.325988i | \(0.894303\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.40903 | + | 4.37418i | 0.100116 | + | 0.181785i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.65028 | + | 11.5008i | −0.400361 | + | 0.477132i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −29.6260 | − | 10.7830i | −1.22698 | − | 0.446585i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4.82578 | − | 7.62966i | 0.199521 | − | 0.315448i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 15.7563 | − | 2.77827i | 0.650334 | − | 0.114671i | 0.161257 | − | 0.986912i | \(-0.448445\pi\) |
0.489076 | + | 0.872241i | \(0.337334\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.96564 | + | 8.14803i | 0.122197 | + | 0.335734i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.62585 | + | 17.1208i | −0.272551 | + | 0.704256i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 7.18736 | 0.295150 | 0.147575 | − | 0.989051i | \(-0.452853\pi\) | ||||
0.147575 | + | 0.989051i | \(0.452853\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 39.1938i | − | 1.60679i | ||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −6.22563 | − | 40.0152i | −0.254798 | − | 1.63771i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −27.3895 | + | 9.96896i | −1.11910 | + | 0.407320i | −0.834325 | − | 0.551273i | \(-0.814142\pi\) |
−0.284779 | + | 0.958593i | \(0.591920\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.344316 | − | 1.95271i | −0.0140449 | − | 0.0796528i | 0.976980 | − | 0.213333i | \(-0.0684318\pi\) |
−0.991025 | + | 0.133680i | \(0.957321\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.59650 | − | 3.36111i | −0.105737 | − | 0.136875i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 8.81415 | − | 24.2167i | 0.358346 | − | 0.984548i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.10496 | − | 1.76628i | −0.0854379 | − | 0.0716909i | 0.599068 | − | 0.800698i | \(-0.295538\pi\) |
−0.684506 | + | 0.729007i | \(0.739982\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.214945 | + | 10.6453i | −0.00871003 | + | 0.431369i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 6.02952 | + | 3.48115i | 0.243928 | + | 0.140832i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.19090 | + | 4.72902i | −0.330827 | + | 0.191003i | −0.656208 | − | 0.754580i | \(-0.727841\pi\) |
0.325381 | + | 0.945583i | \(0.394507\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 16.6961 | + | 48.9235i | 0.673253 | + | 1.97278i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.23039 | + | 6.97788i | −0.0495336 | + | 0.280919i | −0.999506 | − | 0.0314135i | \(-0.989999\pi\) |
0.949973 | + | 0.312332i | \(0.101110\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −23.0376 | − | 27.4551i | −0.925959 | − | 1.10351i | −0.994381 | − | 0.105858i | \(-0.966241\pi\) |
0.0684224 | − | 0.997656i | \(-0.478203\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 18.0041 | − | 5.34323i | 0.722478 | − | 0.214417i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −9.84554 | + | 8.26139i | −0.394453 | + | 0.330986i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.10952 | + | 28.9775i | −0.204381 | + | 1.15910i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 6.11632 | + | 5.34628i | 0.244262 | + | 0.213510i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 20.1027 | − | 11.6063i | 0.801549 | − | 0.462775i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.5980 | + | 40.8729i | −0.939422 | + | 1.62713i | −0.172869 | + | 0.984945i | \(0.555304\pi\) |
−0.766553 | + | 0.642181i | \(0.778030\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.343072 | − | 0.207418i | −0.0136359 | − | 0.00824412i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −5.96336 | + | 7.10685i | −0.236649 | + | 0.282027i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.02106 | − | 2.80533i | 0.0404557 | − | 0.111151i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −30.9801 | − | 28.2031i | −1.22555 | − | 1.11570i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.99885 | + | 17.0073i | 0.118448 | + | 0.671749i | 0.984985 | + | 0.172638i | \(0.0552291\pi\) |
−0.866538 | + | 0.499111i | \(0.833660\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.53686 | + | 6.96996i | 0.100044 | + | 0.274868i | 0.979610 | − | 0.200908i | \(-0.0643893\pi\) |
−0.879566 | + | 0.475777i | \(0.842167\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −15.5815 | + | 12.5472i | −0.613521 | + | 0.494046i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −27.6670 | −1.08770 | −0.543852 | − | 0.839181i | \(-0.683035\pi\) | ||||
−0.543852 | + | 0.839181i | \(0.683035\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 54.3161 | 2.13209 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −22.2520 | + | 17.9188i | −0.872125 | + | 0.702291i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.93819 | + | 21.8100i | 0.310645 | + | 0.853491i | 0.992527 | + | 0.122028i | \(0.0389399\pi\) |
−0.681881 | + | 0.731463i | \(0.738838\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.62416 | − | 20.5536i | −0.141608 | − | 0.803097i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 30.3836 | − | 9.68877i | 1.18538 | − | 0.377995i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −12.1258 | + | 33.3152i | −0.472352 | + | 1.29778i | 0.443504 | + | 0.896272i | \(0.353735\pi\) |
−0.915857 | + | 0.401505i | \(0.868487\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −32.3094 | + | 38.5048i | −1.25669 | + | 1.49766i | −0.466868 | + | 0.884327i | \(0.654618\pi\) |
−0.789821 | + | 0.613337i | \(0.789827\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 9.81611 | + | 5.93472i | 0.381226 | + | 0.230485i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.16581 | − | 5.48335i | 0.122765 | − | 0.212635i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.56284 | − | 5.52111i | 0.370275 | − | 0.213778i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −9.26923 | − | 8.10224i | −0.358369 | − | 0.313251i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.14241 | + | 29.1640i | −0.198520 | + | 1.12587i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.4003 | − | 10.4051i | 0.477998 | − | 0.401088i | −0.371704 | − | 0.928351i | \(-0.621226\pi\) |
0.849702 | + | 0.527264i | \(0.176782\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −18.3553 | − | 7.96976i | −0.706495 | − | 0.306756i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −17.5329 | − | 20.8949i | −0.673844 | − | 0.803057i | 0.315457 | − | 0.948940i | \(-0.397842\pi\) |
−0.989302 | + | 0.145883i | \(0.953398\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.87783 | − | 16.3210i | 0.110441 | − | 0.626343i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 14.1468 | + | 41.4533i | 0.542107 | + | 1.58850i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 24.2989 | − | 14.0290i | 0.929770 | − | 0.536803i | 0.0430314 | − | 0.999074i | \(-0.486298\pi\) |
0.886739 | + | 0.462271i | \(0.152965\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 46.1110 | + | 26.6222i | 1.76181 | + | 1.01718i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.195428 | + | 9.67867i | −0.00745602 | + | 0.369264i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.50913 | − | 4.62271i | −0.209881 | − | 0.176111i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.89760 | − | 16.2035i | 0.224355 | − | 0.616411i | −0.775534 | − | 0.631306i | \(-0.782519\pi\) |
0.999889 | + | 0.0148951i | \(0.00474145\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −10.1624 | + | 24.7619i | −0.386038 | + | 0.940628i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.753543 | − | 4.27355i | −0.0285835 | − | 0.162105i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −61.7216 | + | 22.4648i | −2.33787 | + | 0.850916i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3.31775 | − | 21.3248i | −0.125489 | − | 0.806579i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 13.0471i | 0.492781i | 0.969171 | + | 0.246391i | \(0.0792447\pi\) | ||||
−0.969171 | + | 0.246391i | \(0.920755\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.74993 | 0.141431 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 12.8016 | − | 33.0785i | 0.482136 | − | 1.24581i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 10.0942 | + | 27.7337i | 0.379633 | + | 1.04303i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.97070 | − | 1.75810i | 0.374457 | − | 0.0660269i | 0.0167476 | − | 0.999860i | \(-0.494669\pi\) |
0.357710 | + | 0.933833i | \(0.383558\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −16.6080 | − | 31.6517i | −0.622850 | − | 1.18703i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 27.8421 | + | 10.1337i | 1.04270 | + | 0.379510i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.57711 | − | 10.2218i | 0.320766 | − | 0.382274i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 18.4836 | + | 33.5615i | 0.690282 | + | 1.25338i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −4.51073 | + | 7.81281i | −0.168222 | + | 0.291369i | −0.937795 | − | 0.347190i | \(-0.887136\pi\) |
0.769573 | + | 0.638559i | \(0.220469\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.37804 | − | 4.11889i | −0.0885630 | − | 0.153396i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.820418 | − | 4.15990i | 0.0305117 | − | 0.154708i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −11.5870 | − | 2.04311i | −0.430331 | − | 0.0758790i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.0185 | − | 16.7975i | 0.742446 | − | 0.622986i | −0.191047 | − | 0.981581i | \(-0.561188\pi\) |
0.933493 | + | 0.358595i | \(0.116744\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −16.2266 | + | 21.5800i | −0.600984 | + | 0.799261i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −16.3390 | − | 19.4721i | −0.604321 | − | 0.720201i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −38.9827 | − | 6.87370i | −1.43986 | − | 0.253886i | −0.601442 | − | 0.798916i | \(-0.705407\pi\) |
−0.838416 | + | 0.545030i | \(0.816518\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −14.9215 | − | 2.94282i | −0.550387 | − | 0.108548i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −3.13884 | − | 5.43663i | −0.115621 | − | 0.200261i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −22.3748 | − | 12.9181i | −0.823069 | − | 0.475199i | 0.0284045 | − | 0.999597i | \(-0.490957\pi\) |
−0.851474 | + | 0.524397i | \(0.824291\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.893941 | + | 1.62317i | 0.0328398 | + | 0.0596286i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.7136 | + | 9.82885i | 0.429729 | + | 0.360585i | 0.831849 | − | 0.555001i | \(-0.187282\pi\) |
−0.402120 | + | 0.915587i | \(0.631727\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −43.9237 | − | 15.9869i | −1.60924 | − | 0.585716i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −19.8214 | + | 10.4005i | −0.725228 | + | 0.380536i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 17.0322 | − | 3.00323i | 0.622342 | − | 0.109736i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 10.8628 | − | 3.95373i | 0.396389 | − | 0.144274i | −0.136132 | − | 0.990691i | \(-0.543467\pi\) |
0.532521 | + | 0.846417i | \(0.321245\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.0817538 | − | 0.211247i | 0.00297927 | − | 0.00769826i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 24.1750i | − | 0.879819i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 25.7483i | − | 0.935840i | −0.883771 | − | 0.467920i | \(-0.845004\pi\) | ||
0.883771 | − | 0.467920i | \(-0.154996\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 27.4285 | − | 4.26737i | 0.995592 | − | 0.154896i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 0.635064 | − | 0.231144i | 0.0230211 | − | 0.00837898i | −0.330484 | − | 0.943812i | \(-0.607212\pi\) |
0.353505 | + | 0.935433i | \(0.384990\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −16.9949 | + | 2.99665i | −0.615255 | + | 0.108486i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 22.1871 | − | 54.0615i | 0.802176 | − | 1.95460i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 11.6428 | + | 4.23763i | 0.420397 | + | 0.153012i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.808949 | − | 0.678789i | −0.0291714 | − | 0.0244777i | 0.628085 | − | 0.778144i | \(-0.283839\pi\) |
−0.657257 | + | 0.753667i | \(0.728283\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −40.3338 | − | 0.814402i | −1.45259 | − | 0.0293300i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.76890 | − | 1.59862i | −0.0995903 | − | 0.0574985i | 0.449378 | − | 0.893342i | \(-0.351646\pi\) |
−0.548968 | + | 0.835843i | \(0.684979\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.7852 | − | 27.3408i | −0.567023 | − | 0.982112i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.99061 | + | 11.6934i | 0.143162 | + | 0.419498i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −10.4496 | − | 1.84255i | −0.374397 | − | 0.0660163i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −39.8037 | − | 47.4362i | −1.42429 | − | 1.69740i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.32265 | + | 14.5618i | −0.225953 | + | 0.520396i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −24.7651 | + | 20.7804i | −0.883906 | + | 0.741685i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −41.9180 | − | 7.39128i | −1.49422 | − | 0.263471i | −0.633974 | − | 0.773355i | \(-0.718577\pi\) |
−0.860243 | + | 0.509884i | \(0.829688\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 16.6491 | + | 14.5530i | 0.592724 | + | 0.518101i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −7.07100 | − | 12.2473i | −0.251416 | − | 0.435465i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.37760 | + | 5.85018i | −0.119942 | + | 0.207746i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −18.9557 | + | 31.3530i | −0.672289 | + | 1.11197i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −4.57093 | + | 5.44743i | −0.161911 | + | 0.192958i | −0.840900 | − | 0.541190i | \(-0.817974\pi\) |
0.678989 | + | 0.734148i | \(0.262418\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 42.3496 | + | 15.4140i | 1.49822 | + | 0.545308i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −18.2570 | + | 5.82182i | −0.645080 | + | 0.205704i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 46.4210 | − | 8.18528i | 1.63816 | − | 0.288852i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −7.39975 | − | 20.3307i | −0.260807 | − | 0.716561i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 18.5537 | + | 23.0405i | 0.653122 | + | 0.811065i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −32.9358 | −1.15796 | −0.578981 | − | 0.815341i | \(-0.696550\pi\) | ||||
−0.578981 | + | 0.815341i | \(0.696550\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 12.6751i | − | 0.445084i | −0.974923 | − | 0.222542i | \(-0.928565\pi\) | ||
0.974923 | − | 0.222542i | \(-0.0714354\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −11.2385 | + | 9.05000i | −0.394153 | + | 0.317397i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −37.9029 | + | 13.7955i | −1.32768 | + | 0.483236i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.713061 | − | 4.04397i | −0.0249469 | − | 0.141481i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −4.11021 | + | 4.51493i | −0.143622 | + | 0.157764i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −3.89007 | + | 10.6879i | −0.135764 | + | 0.373009i | −0.988881 | − | 0.148711i | \(-0.952487\pi\) |
0.853116 | + | 0.521721i | \(0.174710\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 11.0019 | + | 9.23172i | 0.383503 | + | 0.321798i | 0.814076 | − | 0.580758i | \(-0.197244\pi\) |
−0.430573 | + | 0.902556i | \(0.641688\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −25.3110 | − | 15.3028i | −0.881217 | − | 0.532775i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −22.7649 | − | 13.1433i | −0.791614 | − | 0.457039i | 0.0489165 | − | 0.998803i | \(-0.484423\pi\) |
−0.840530 | + | 0.541764i | \(0.817757\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −35.0559 | + | 20.2396i | −1.21754 | + | 0.702949i | −0.964392 | − | 0.264478i | \(-0.914800\pi\) |
−0.253151 | + | 0.967427i | \(0.581467\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 21.1949 | − | 24.2476i | 0.735242 | − | 0.841141i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.35567 | − | 19.0310i | 0.116267 | − | 0.659384i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.2284 | + | 13.3815i | 0.388575 | + | 0.463085i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −40.8366 | + | 12.1195i | −1.41152 | + | 0.418910i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −20.1199 | + | 16.8826i | −0.694615 | + | 0.582851i | −0.920236 | − | 0.391364i | \(-0.872003\pi\) |
0.225621 | + | 0.974215i | \(0.427559\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.41494 | − | 19.3671i | 0.117757 | − | 0.667830i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 11.9058 | − | 4.06311i | 0.410058 | − | 0.139941i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −30.8584 | + | 17.8161i | −1.06156 | + | 0.612893i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −8.71463 | + | 15.0942i | −0.299438 | + | 0.518642i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.152859 | − | 7.57041i | 0.00524609 | − | 0.259816i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 8.23646 | − | 9.81583i | 0.282342 | − | 0.336482i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.25849 | − | 11.7001i | 0.145808 | − | 0.400604i | −0.845193 | − | 0.534462i | \(-0.820514\pi\) |
0.991001 | + | 0.133858i | \(0.0427366\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 7.47079 | − | 5.77127i | 0.255495 | − | 0.197373i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −7.86174 | − | 44.5861i | −0.268552 | − | 1.52303i | −0.758727 | − | 0.651409i | \(-0.774178\pi\) |
0.490175 | − | 0.871624i | \(-0.336933\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.63070 | + | 15.4702i | 0.192117 | + | 0.527837i | 0.997928 | − | 0.0643355i | \(-0.0204928\pi\) |
−0.805811 | + | 0.592172i | \(0.798271\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −5.37470 | − | 34.5459i | −0.183169 | − | 1.17732i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 31.6950 | 1.07891 | 0.539455 | − | 0.842014i | \(-0.318630\pi\) | ||||
0.539455 | + | 0.842014i | \(0.318630\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 51.4417 | 1.74907 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 41.7859 | + | 16.1714i | 1.41912 | + | 0.549210i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −18.0698 | − | 49.6464i | −0.612977 | − | 1.68414i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.248663 | − | 1.41024i | −0.00842564 | − | 0.0477842i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 13.2086 | − | 20.8831i | 0.447044 | − | 0.706786i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.35226 | − | 6.46279i | 0.0795210 | − | 0.218482i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.22447 | − | 8.60978i | 0.243953 | − | 0.290732i | −0.630149 | − | 0.776474i | \(-0.717006\pi\) |
0.874102 | + | 0.485742i | \(0.161451\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −23.3524 | + | 12.8611i | −0.787657 | + | 0.433793i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.85195 | − | 4.93971i | 0.0960845 | − | 0.166423i | −0.813976 | − | 0.580898i | \(-0.802701\pi\) |
0.910061 | + | 0.414475i | \(0.136035\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.76147 | − | 3.32639i | 0.193889 | − | 0.111942i | −0.399913 | − | 0.916553i | \(-0.630960\pi\) |
0.593802 | + | 0.804611i | \(0.297626\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 12.2134 | − | 61.9277i | 0.410550 | − | 2.08168i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 5.28016 | − | 29.9453i | 0.177291 | − | 1.00546i | −0.758176 | − | 0.652050i | \(-0.773909\pi\) |
0.935467 | − | 0.353415i | \(-0.114980\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.80648 | − | 4.03312i | 0.161204 | − | 0.135266i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −28.0348 | + | 28.4023i | −0.939202 | + | 0.951513i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 4.67982 | + | 5.57720i | 0.156604 | + | 0.186634i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.09533 | − | 17.5545i | 0.103465 | − | 0.586782i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 6.21230 | + | 1.22519i | 0.207423 | + | 0.0409080i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −21.6903 | + | 12.5229i | −0.723413 | + | 0.417663i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −40.3154 | − | 23.2761i | −1.34310 | − | 0.775440i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 11.8515 | − | 6.52707i | 0.394393 | − | 0.217207i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −50.8886 | − | 42.7006i | −1.69160 | − | 1.41942i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −19.4374 | + | 53.4037i | −0.645407 | + | 1.77324i | −0.0113732 | + | 0.999935i | \(0.503620\pi\) |
−0.634034 | + | 0.773305i | \(0.718602\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.77631 | + | 43.9684i | −0.0589164 | + | 1.45834i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.73844 | + | 15.5304i | 0.0907284 | + | 0.514547i | 0.995973 | + | 0.0896553i | \(0.0285766\pi\) |
−0.905244 | + | 0.424891i | \(0.860312\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −31.0904 | + | 11.3160i | −1.02894 | + | 0.374504i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 32.0946 | + | 12.4208i | 1.06102 | + | 0.410620i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 14.1152i | 0.466125i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −14.9150 | −0.492002 | −0.246001 | − | 0.969270i | \(-0.579117\pi\) | ||||
−0.246001 | + | 0.969270i | \(0.579117\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.35636 | + | 0.366605i | −0.0776446 | + | 0.0120801i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −4.83115 | − | 13.2735i | −0.159019 | − | 0.436901i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.4459 | + | 2.37087i | −0.442098 | + | 0.0779537i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.948477 | − | 7.02753i | −0.0311521 | − | 0.230814i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 26.9926 | + | 9.82451i | 0.885599 | + | 0.322332i | 0.744467 | − | 0.667659i | \(-0.232704\pi\) |
0.141132 | + | 0.989991i | \(0.454926\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.00667 | − | 2.39145i | 0.0657658 | − | 0.0783767i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −2.68109 | − | 0.0541353i | −0.0877748 | − | 0.00177231i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 43.1872 | − | 74.8025i | 1.41237 | − | 2.44630i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 18.4509 | + | 31.9578i | 0.602763 | + | 1.04402i | 0.992401 | + | 0.123048i | \(0.0392670\pi\) |
−0.389637 | + | 0.920968i | \(0.627400\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 6.75530 | − | 2.30539i | 0.220451 | − | 0.0752334i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 12.0405 | + | 2.12306i | 0.392509 | + | 0.0692098i | 0.366419 | − | 0.930450i | \(-0.380584\pi\) |
0.0260891 | + | 0.999660i | \(0.491695\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −27.7750 | + | 23.3060i | −0.904478 | + | 0.758947i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 25.9468 | + | 17.1544i | 0.844051 | + | 0.558034i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.998881 | − | 1.19042i | −0.0324593 | − | 0.0386835i | 0.749571 | − | 0.661924i | \(-0.230260\pi\) |
−0.782030 | + | 0.623241i | \(0.785816\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.5891 | + | 1.86714i | 0.343735 | + | 0.0606098i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.81710 | − | 7.79899i | 0.221060 | − | 0.252899i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 22.6088 | + | 39.1596i | 0.732371 | + | 1.26850i | 0.955867 | + | 0.293799i | \(0.0949198\pi\) |
−0.223496 | + | 0.974705i | \(0.571747\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −26.2179 | − | 15.1369i | −0.848392 | − | 0.489820i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −12.1402 | + | 20.0800i | −0.392436 | + | 0.649095i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −27.5853 | − | 23.1468i | −0.890776 | − | 0.747449i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −34.0208 | − | 12.3826i | −1.09744 | − | 0.399437i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 25.1932 | + | 5.49922i | 0.811841 | + | 0.177210i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 8.44715 | − | 1.48946i | 0.271923 | − | 0.0479474i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −13.8966 | + | 5.05794i | −0.446884 | + | 0.162652i | −0.555652 | − | 0.831415i | \(-0.687531\pi\) |
0.108769 | + | 0.994067i | \(0.465309\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 7.52316 | + | 9.34247i | 0.241679 | + | 0.300123i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 9.29617i | − | 0.298328i | −0.988812 | − | 0.149164i | \(-0.952342\pi\) | ||
0.988812 | − | 0.149164i | \(-0.0476583\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.93486i | 0.0940874i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −4.23159 | − | 5.25490i | −0.135519 | − | 0.168292i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −40.3617 | + | 14.6904i | −1.29128 | + | 0.469989i | −0.894148 | − | 0.447771i | \(-0.852218\pi\) |
−0.397135 | + | 0.917760i | \(0.629996\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −27.8936 | + | 4.91840i | −0.891484 | + | 0.157193i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −25.1380 | − | 5.48717i | −0.802596 | − | 0.175192i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 32.6478 | + | 11.8828i | 1.04130 | + | 0.379003i | 0.805374 | − | 0.592767i | \(-0.201964\pi\) |
0.235929 | + | 0.971770i | \(0.424187\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 24.1558 | + | 20.2692i | 0.769669 | + | 0.645829i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −12.4112 | + | 20.5283i | −0.395052 | + | 0.653421i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −12.1517 | − | 7.01579i | −0.386402 | − | 0.223089i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.69720 | − | 9.86784i | −0.180977 | − | 0.313462i | 0.761236 | − | 0.648475i | \(-0.224593\pi\) |
−0.942214 | + | 0.335013i | \(0.891259\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −34.3164 | + | 39.2591i | −1.08900 | + | 1.24585i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −68.5028 | − | 12.0789i | −2.17168 | − | 0.382926i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.8999 | + | 24.9075i | 0.661906 | + | 0.788829i | 0.987658 | − | 0.156626i | \(-0.0500619\pi\) |
−0.325752 | + | 0.945455i | \(0.605617\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.11507 | + | 18.3882i | −0.0352793 | + | 0.581777i |
(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 | 864.2.bf.a.49.8 | 204 | ||
4.3 | odd | 2 | 216.2.t.a.157.5 | ✓ | 204 | ||
8.3 | odd | 2 | 216.2.t.a.157.11 | yes | 204 | ||
8.5 | even | 2 | inner | 864.2.bf.a.49.27 | 204 | ||
12.11 | even | 2 | 648.2.t.a.37.30 | 204 | |||
24.11 | even | 2 | 648.2.t.a.37.24 | 204 | |||
27.16 | even | 9 | inner | 864.2.bf.a.529.27 | 204 | ||
108.11 | even | 18 | 648.2.t.a.613.24 | 204 | |||
108.43 | odd | 18 | 216.2.t.a.205.11 | yes | 204 | ||
216.11 | even | 18 | 648.2.t.a.613.30 | 204 | |||
216.43 | odd | 18 | 216.2.t.a.205.5 | yes | 204 | ||
216.205 | even | 18 | inner | 864.2.bf.a.529.8 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.157.5 | ✓ | 204 | 4.3 | odd | 2 | ||
216.2.t.a.157.11 | yes | 204 | 8.3 | odd | 2 | ||
216.2.t.a.205.5 | yes | 204 | 216.43 | odd | 18 | ||
216.2.t.a.205.11 | yes | 204 | 108.43 | odd | 18 | ||
648.2.t.a.37.24 | 204 | 24.11 | even | 2 | |||
648.2.t.a.37.30 | 204 | 12.11 | even | 2 | |||
648.2.t.a.613.24 | 204 | 108.11 | even | 18 | |||
648.2.t.a.613.30 | 204 | 216.11 | even | 18 | |||
864.2.bf.a.49.8 | 204 | 1.1 | even | 1 | trivial | ||
864.2.bf.a.49.27 | 204 | 8.5 | even | 2 | inner | ||
864.2.bf.a.529.8 | 204 | 216.205 | even | 18 | inner | ||
864.2.bf.a.529.27 | 204 | 27.16 | even | 9 | inner |