Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(37,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.v (of order \(8\), degree \(4\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 37.8 | ||
Character | \(\chi\) | \(=\) | 288.37 |
Dual form | 288.2.v.c.109.8 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41364 | + | 0.0402136i | 0.999596 | + | 0.0284353i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.99677 | + | 0.113695i | 0.998383 | + | 0.0568477i | ||||
\(5\) | 1.51282 | + | 0.626632i | 0.676556 | + | 0.280239i | 0.694386 | − | 0.719602i | \(-0.255676\pi\) |
−0.0178305 | + | 0.999841i | \(0.505676\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.32530 | − | 1.32530i | −0.500915 | − | 0.500915i | 0.410807 | − | 0.911722i | \(-0.365247\pi\) |
−0.911722 | + | 0.410807i | \(0.865247\pi\) | |||||||
\(8\) | 2.81814 | + | 0.241022i | 0.996363 | + | 0.0852141i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.11339 | + | 0.946670i | 0.668313 | + | 0.299363i | ||||
\(11\) | 0.938971 | − | 2.26688i | 0.283110 | − | 0.683489i | −0.716794 | − | 0.697285i | \(-0.754391\pi\) |
0.999905 | + | 0.0137954i | \(0.00439137\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.73458 | + | 1.96113i | −1.31314 | + | 0.543919i | −0.925798 | − | 0.378018i | \(-0.876606\pi\) |
−0.387339 | + | 0.921937i | \(0.626606\pi\) | |||||||
\(14\) | −1.82020 | − | 1.92679i | −0.486469 | − | 0.514956i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.97415 | + | 0.454046i | 0.993537 | + | 0.113512i | ||||
\(17\) | 5.78108i | 1.40212i | 0.713103 | + | 0.701059i | \(0.247289\pi\) | ||||
−0.713103 | + | 0.701059i | \(0.752711\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.04283 | + | 0.431956i | −0.239243 | + | 0.0990975i | −0.499083 | − | 0.866554i | \(-0.666330\pi\) |
0.259841 | + | 0.965651i | \(0.416330\pi\) | |||||||
\(20\) | 2.94951 | + | 1.42324i | 0.659531 | + | 0.318246i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.41853 | − | 3.16679i | 0.302431 | − | 0.675162i | ||||
\(23\) | 4.29232 | − | 4.29232i | 0.895011 | − | 0.895011i | −0.0999784 | − | 0.994990i | \(-0.531877\pi\) |
0.994990 | + | 0.0999784i | \(0.0318774\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.63956 | − | 1.63956i | −0.327913 | − | 0.327913i | ||||
\(26\) | −6.77187 | + | 2.58194i | −1.32807 | + | 0.506360i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.49563 | − | 2.79699i | −0.471629 | − | 0.528581i | ||||
\(29\) | −0.389398 | − | 0.940091i | −0.0723095 | − | 0.174570i | 0.883592 | − | 0.468257i | \(-0.155118\pi\) |
−0.955902 | + | 0.293686i | \(0.905118\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.43150 | −1.33474 | −0.667369 | − | 0.744727i | \(-0.732580\pi\) | ||||
−0.667369 | + | 0.744727i | \(0.732580\pi\) | |||||||
\(32\) | 5.59976 | + | 0.801673i | 0.989907 | + | 0.141717i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.232478 | + | 8.17238i | −0.0398697 | + | 1.40155i | ||||
\(35\) | −1.17447 | − | 2.83541i | −0.198521 | − | 0.479272i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.67926 | − | 1.52400i | −0.604867 | − | 0.250544i | 0.0591650 | − | 0.998248i | \(-0.481156\pi\) |
−0.664032 | + | 0.747704i | \(0.731156\pi\) | |||||||
\(38\) | −1.49156 | + | 0.568695i | −0.241964 | + | 0.0922545i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.11232 | + | 2.13056i | 0.650215 | + | 0.336871i | ||||
\(41\) | 0.474313 | − | 0.474313i | 0.0740752 | − | 0.0740752i | −0.669098 | − | 0.743174i | \(-0.733320\pi\) |
0.743174 | + | 0.669098i | \(0.233320\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.409042 | + | 0.987514i | −0.0623783 | + | 0.150594i | −0.951995 | − | 0.306113i | \(-0.900971\pi\) |
0.889617 | + | 0.456708i | \(0.150971\pi\) | |||||||
\(44\) | 2.13264 | − | 4.41967i | 0.321507 | − | 0.666290i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.24042 | − | 5.89520i | 0.920099 | − | 0.869199i | ||||
\(47\) | 2.73234i | 0.398553i | 0.979943 | + | 0.199277i | \(0.0638592\pi\) | ||||
−0.979943 | + | 0.199277i | \(0.936141\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 3.48718i | − | 0.498169i | ||||||
\(50\) | −2.25182 | − | 2.38369i | −0.318456 | − | 0.337104i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −9.67683 | + | 3.37761i | −1.34193 | + | 0.468391i | ||||
\(53\) | −4.55362 | + | 10.9934i | −0.625488 | + | 1.51006i | 0.219686 | + | 0.975571i | \(0.429497\pi\) |
−0.845174 | + | 0.534491i | \(0.820503\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.84100 | − | 2.84100i | 0.383080 | − | 0.383080i | ||||
\(56\) | −3.41544 | − | 4.05429i | −0.456408 | − | 0.541778i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.512665 | − | 1.34461i | −0.0673163 | − | 0.176556i | ||||
\(59\) | −8.68022 | − | 3.59546i | −1.13007 | − | 0.468089i | −0.262264 | − | 0.964996i | \(-0.584469\pi\) |
−0.867804 | + | 0.496907i | \(0.834469\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.48345 | + | 3.58137i | 0.189937 | + | 0.458548i | 0.989947 | − | 0.141438i | \(-0.0451727\pi\) |
−0.800010 | + | 0.599986i | \(0.795173\pi\) | |||||||
\(62\) | −10.5055 | − | 0.298848i | −1.33420 | − | 0.0379537i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.88382 | + | 1.35847i | 0.985477 | + | 0.169808i | ||||
\(65\) | −8.39150 | −1.04084 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.11281 | + | 14.7576i | 0.746799 | + | 1.80293i | 0.575668 | + | 0.817683i | \(0.304742\pi\) |
0.171131 | + | 0.985248i | \(0.445258\pi\) | |||||||
\(68\) | −0.657282 | + | 11.5435i | −0.0797072 | + | 1.39985i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.54625 | − | 4.05549i | −0.184813 | − | 0.484724i | ||||
\(71\) | −10.5767 | − | 10.5767i | −1.25522 | − | 1.25522i | −0.953349 | − | 0.301869i | \(-0.902389\pi\) |
−0.301869 | − | 0.953349i | \(-0.597611\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.86117 | − | 6.86117i | 0.803040 | − | 0.803040i | −0.180530 | − | 0.983570i | \(-0.557781\pi\) |
0.983570 | + | 0.180530i | \(0.0577812\pi\) | |||||||
\(74\) | −5.13987 | − | 2.30235i | −0.597498 | − | 0.267642i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.13141 | + | 0.743950i | −0.244489 | + | 0.0853369i | ||||
\(77\) | −4.24870 | + | 1.75987i | −0.484184 | + | 0.200556i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 11.4744i | − | 1.29097i | −0.763771 | − | 0.645487i | \(-0.776655\pi\) | ||
0.763771 | − | 0.645487i | \(-0.223345\pi\) | |||||||
\(80\) | 5.72767 | + | 3.17722i | 0.640373 | + | 0.355224i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.689582 | − | 0.651435i | 0.0761516 | − | 0.0719389i | ||||
\(83\) | 15.2335 | − | 6.30991i | 1.67209 | − | 0.692603i | 0.673191 | − | 0.739469i | \(-0.264923\pi\) |
0.998901 | + | 0.0468660i | \(0.0149234\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.62261 | + | 8.74577i | −0.392928 | + | 0.948611i | ||||
\(86\) | −0.617950 | + | 1.37954i | −0.0666353 | + | 0.148760i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.19252 | − | 6.16206i | 0.340324 | − | 0.656878i | ||||
\(89\) | 6.07620 | + | 6.07620i | 0.644076 | + | 0.644076i | 0.951555 | − | 0.307479i | \(-0.0994854\pi\) |
−0.307479 | + | 0.951555i | \(0.599485\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.87380 | + | 3.67565i | 0.930227 | + | 0.385313i | ||||
\(92\) | 9.05878 | − | 8.08275i | 0.944443 | − | 0.842685i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.109877 | + | 3.86255i | −0.0113330 | + | 0.398392i | ||||
\(95\) | −1.84830 | −0.189632 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.4135 | 1.56500 | 0.782501 | − | 0.622649i | \(-0.213944\pi\) | ||||
0.782501 | + | 0.622649i | \(0.213944\pi\) | |||||||
\(98\) | 0.140232 | − | 4.92962i | 0.0141656 | − | 0.497967i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.08741 | − | 3.46024i | −0.308741 | − | 0.346024i | ||||
\(101\) | 10.3874 | + | 4.30260i | 1.03358 | + | 0.428124i | 0.834005 | − | 0.551757i | \(-0.186043\pi\) |
0.199579 | + | 0.979882i | \(0.436043\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.05089 | − | 8.05089i | −0.793278 | − | 0.793278i | 0.188748 | − | 0.982026i | \(-0.439557\pi\) |
−0.982026 | + | 0.188748i | \(0.939557\pi\) | |||||||
\(104\) | −13.8154 | + | 4.38560i | −1.35471 | + | 0.430043i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.87927 | + | 15.3576i | −0.668174 | + | 1.49167i | ||||
\(107\) | −1.76437 | + | 4.25957i | −0.170568 | + | 0.411788i | −0.985929 | − | 0.167165i | \(-0.946539\pi\) |
0.815361 | + | 0.578953i | \(0.196539\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.20159 | + | 2.15457i | −0.498222 | + | 0.206370i | −0.617621 | − | 0.786476i | \(-0.711903\pi\) |
0.119399 | + | 0.992846i | \(0.461903\pi\) | |||||||
\(110\) | 4.13040 | − | 3.90191i | 0.393818 | − | 0.372032i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.66518 | − | 5.86867i | −0.440818 | − | 0.554537i | ||||
\(113\) | 4.12616i | 0.388156i | 0.980986 | + | 0.194078i | \(0.0621715\pi\) | ||||
−0.980986 | + | 0.194078i | \(0.937829\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.18324 | − | 3.80382i | 0.856342 | − | 0.354708i | ||||
\(116\) | −0.670653 | − | 1.92141i | −0.0622686 | − | 0.178399i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −12.1261 | − | 5.43176i | −1.11630 | − | 0.500034i | ||||
\(119\) | 7.66165 | − | 7.66165i | 0.702342 | − | 0.702342i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.52111 | + | 3.52111i | 0.320101 | + | 0.320101i | ||||
\(122\) | 1.95305 | + | 5.12243i | 0.176821 | + | 0.463763i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −14.8390 | − | 0.844928i | −1.33258 | − | 0.0758767i | ||||
\(125\) | −4.58613 | − | 11.0719i | −0.410196 | − | 0.990301i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.68466 | 0.681904 | 0.340952 | − | 0.940081i | \(-0.389251\pi\) | ||||
0.340952 | + | 0.940081i | \(0.389251\pi\) | |||||||
\(128\) | 11.0903 | + | 2.23742i | 0.980250 | + | 0.197762i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −11.8626 | − | 0.337453i | −1.04042 | − | 0.0295966i | ||||
\(131\) | 6.42051 | + | 15.5005i | 0.560963 | + | 1.35428i | 0.908997 | + | 0.416802i | \(0.136849\pi\) |
−0.348034 | + | 0.937482i | \(0.613151\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.95453 | + | 0.809594i | 0.169480 | + | 0.0702007i | ||||
\(134\) | 8.04787 | + | 21.1078i | 0.695230 | + | 1.82344i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.39337 | + | 16.2919i | −0.119480 | + | 1.39702i | ||||
\(137\) | 16.1360 | − | 16.1360i | 1.37859 | − | 1.37859i | 0.531598 | − | 0.846997i | \(-0.321592\pi\) |
0.846997 | − | 0.531598i | \(-0.178408\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.88036 | + | 6.95381i | −0.244309 | + | 0.589814i | −0.997702 | − | 0.0677564i | \(-0.978416\pi\) |
0.753393 | + | 0.657571i | \(0.228416\pi\) | |||||||
\(140\) | −2.02276 | − | 5.79519i | −0.170955 | − | 0.489783i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −14.5263 | − | 15.3769i | −1.21902 | − | 1.29040i | ||||
\(143\) | 12.5742i | 1.05150i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 1.66620i | − | 0.138371i | ||||||
\(146\) | 9.97516 | − | 9.42333i | 0.825550 | − | 0.779880i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.17336 | − | 3.46139i | −0.589646 | − | 0.284524i | ||||
\(149\) | 1.57271 | − | 3.79687i | 0.128842 | − | 0.311051i | −0.846274 | − | 0.532748i | \(-0.821159\pi\) |
0.975116 | + | 0.221696i | \(0.0711594\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.12337 | + | 4.12337i | −0.335555 | + | 0.335555i | −0.854692 | − | 0.519136i | \(-0.826254\pi\) |
0.519136 | + | 0.854692i | \(0.326254\pi\) | |||||||
\(152\) | −3.04296 | + | 0.965966i | −0.246817 | + | 0.0783502i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.07691 | + | 2.31697i | −0.489691 | + | 0.186707i | ||||
\(155\) | −11.2426 | − | 4.65682i | −0.903024 | − | 0.374045i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.772760 | + | 1.86561i | 0.0616730 | + | 0.148892i | 0.951712 | − | 0.306993i | \(-0.0993229\pi\) |
−0.890039 | + | 0.455885i | \(0.849323\pi\) | |||||||
\(158\) | 0.461428 | − | 16.2207i | 0.0367093 | − | 1.29045i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.96910 | + | 4.72178i | 0.630013 | + | 0.373290i | ||||
\(161\) | −11.3772 | −0.896649 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.46436 | − | 10.7779i | −0.349676 | − | 0.844192i | −0.996658 | − | 0.0816870i | \(-0.973969\pi\) |
0.646982 | − | 0.762505i | \(-0.276031\pi\) | |||||||
\(164\) | 1.00102 | − | 0.893165i | 0.0781665 | − | 0.0697444i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 21.7884 | − | 8.30736i | 1.69111 | − | 0.644777i | ||||
\(167\) | 9.15618 | + | 9.15618i | 0.708527 | + | 0.708527i | 0.966225 | − | 0.257699i | \(-0.0829642\pi\) |
−0.257699 | + | 0.966225i | \(0.582964\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.37787 | − | 9.37787i | 0.721374 | − | 0.721374i | ||||
\(170\) | −5.47278 | + | 12.2177i | −0.419743 | + | 0.937055i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.929036 | + | 1.92533i | −0.0708383 | + | 0.146805i | ||||
\(173\) | −7.27037 | + | 3.01148i | −0.552756 | + | 0.228959i | −0.641537 | − | 0.767092i | \(-0.721703\pi\) |
0.0887811 | + | 0.996051i | \(0.471703\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.34581i | 0.328513i | ||||||||
\(176\) | 4.76088 | − | 8.58257i | 0.358865 | − | 0.646935i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.34522 | + | 8.83391i | 0.625501 | + | 0.662130i | ||||
\(179\) | 5.62849 | − | 2.33140i | 0.420693 | − | 0.174257i | −0.162286 | − | 0.986744i | \(-0.551887\pi\) |
0.582979 | + | 0.812487i | \(0.301887\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.09419 | + | 2.64161i | −0.0813306 | + | 0.196349i | −0.959314 | − | 0.282342i | \(-0.908889\pi\) |
0.877983 | + | 0.478691i | \(0.158889\pi\) | |||||||
\(182\) | 12.3966 | + | 5.55290i | 0.918894 | + | 0.411608i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 13.1309 | − | 11.0618i | 0.968023 | − | 0.815488i | ||||
\(185\) | −4.61109 | − | 4.61109i | −0.339014 | − | 0.339014i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.1050 | + | 5.42827i | 0.958333 | + | 0.396955i | ||||
\(188\) | −0.310655 | + | 5.45585i | −0.0226568 | + | 0.397909i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.61284 | − | 0.0743270i | −0.189555 | − | 0.00539225i | ||||
\(191\) | −4.24424 | −0.307102 | −0.153551 | − | 0.988141i | \(-0.549071\pi\) | ||||
−0.153551 | + | 0.988141i | \(0.549071\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.04323 | −0.578964 | −0.289482 | − | 0.957183i | \(-0.593483\pi\) | ||||
−0.289482 | + | 0.957183i | \(0.593483\pi\) | |||||||
\(194\) | 21.7891 | + | 0.619832i | 1.56437 | + | 0.0445014i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.396476 | − | 6.96308i | 0.0283197 | − | 0.497363i | ||||
\(197\) | 20.4709 | + | 8.47934i | 1.45849 | + | 0.604128i | 0.964202 | − | 0.265169i | \(-0.0854277\pi\) |
0.494291 | + | 0.869296i | \(0.335428\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.58390 | + | 2.58390i | 0.183168 | + | 0.183168i | 0.792735 | − | 0.609567i | \(-0.208657\pi\) |
−0.609567 | + | 0.792735i | \(0.708657\pi\) | |||||||
\(200\) | −4.22535 | − | 5.01569i | −0.298777 | − | 0.354663i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 14.5110 | + | 6.50004i | 1.02099 | + | 0.457342i | ||||
\(203\) | −0.729831 | + | 1.76197i | −0.0512241 | + | 0.123666i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.01477 | − | 0.420332i | 0.0708748 | − | 0.0293573i | ||||
\(206\) | −11.0573 | − | 11.7048i | −0.770400 | − | 0.815514i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −19.7064 | + | 5.64409i | −1.36639 | + | 0.391348i | ||||
\(209\) | 2.76957i | 0.191575i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.04546 | + | 0.433043i | −0.0719723 | + | 0.0298119i | −0.418379 | − | 0.908272i | \(-0.637402\pi\) |
0.346407 | + | 0.938084i | \(0.387402\pi\) | |||||||
\(212\) | −10.3424 | + | 21.4335i | −0.710320 | + | 1.47206i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.66548 | + | 5.95055i | −0.182209 | + | 0.406771i | ||||
\(215\) | −1.23762 | + | 1.23762i | −0.0844048 | + | 0.0844048i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.84894 | + | 9.84894i | 0.668590 | + | 0.668590i | ||||
\(218\) | −7.43982 | + | 2.83661i | −0.503889 | + | 0.192120i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.99582 | − | 5.34980i | 0.404238 | − | 0.360683i | ||||
\(221\) | −11.3374 | − | 27.3710i | −0.762639 | − | 1.84117i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.40345 | −0.495772 | −0.247886 | − | 0.968789i | \(-0.579736\pi\) | ||||
−0.247886 | + | 0.968789i | \(0.579736\pi\) | |||||||
\(224\) | −6.35889 | − | 8.48379i | −0.424871 | − | 0.566847i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.165928 | + | 5.83290i | −0.0110373 | + | 0.387999i | ||||
\(227\) | 5.13477 | + | 12.3964i | 0.340806 | + | 0.822780i | 0.997635 | + | 0.0687393i | \(0.0218977\pi\) |
−0.656828 | + | 0.754040i | \(0.728102\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.6519 | − | 4.41217i | −0.703899 | − | 0.291564i | 0.00187845 | − | 0.999998i | \(-0.499402\pi\) |
−0.705777 | + | 0.708434i | \(0.749402\pi\) | |||||||
\(230\) | 13.1348 | − | 5.00795i | 0.866082 | − | 0.330215i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.870797 | − | 2.74316i | −0.0571706 | − | 0.180097i | ||||
\(233\) | 10.6029 | − | 10.6029i | 0.694620 | − | 0.694620i | −0.268625 | − | 0.963245i | \(-0.586569\pi\) |
0.963245 | + | 0.268625i | \(0.0865691\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.71217 | + | 4.13355i | −0.111690 | + | 0.269643i | ||||
\(236\) | −16.9236 | − | 8.16620i | −1.10163 | − | 0.531574i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 11.1389 | − | 10.5227i | 0.722029 | − | 0.682087i | ||||
\(239\) | 27.7222i | 1.79320i | 0.442844 | + | 0.896598i | \(0.353969\pi\) | ||||
−0.442844 | + | 0.896598i | \(0.646031\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 19.1370i | − | 1.23273i | −0.787462 | − | 0.616363i | \(-0.788606\pi\) | ||
0.787462 | − | 0.616363i | \(-0.211394\pi\) | |||||||
\(242\) | 4.83599 | + | 5.11918i | 0.310869 | + | 0.329074i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.55492 | + | 7.31982i | 0.163562 | + | 0.468604i | ||||
\(245\) | 2.18518 | − | 5.27549i | 0.139606 | − | 0.337039i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.09026 | − | 4.09026i | 0.260257 | − | 0.260257i | ||||
\(248\) | −20.9430 | − | 1.79115i | −1.32988 | − | 0.113738i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.03790 | − | 15.8361i | −0.381871 | − | 1.00156i | ||||
\(251\) | −22.9873 | − | 9.52164i | −1.45094 | − | 0.601001i | −0.488520 | − | 0.872553i | \(-0.662463\pi\) |
−0.962424 | + | 0.271552i | \(0.912463\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.69980 | − | 13.7605i | −0.358343 | − | 0.865118i | ||||
\(254\) | 10.8634 | + | 0.309028i | 0.681628 | + | 0.0193902i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.5877 | + | 3.60889i | 0.974230 | + | 0.225556i | ||||
\(257\) | −11.2303 | −0.700525 | −0.350263 | − | 0.936651i | \(-0.613908\pi\) | ||||
−0.350263 | + | 0.936651i | \(0.613908\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.85636 | + | 6.89587i | 0.177486 | + | 0.428488i | ||||
\(260\) | −16.7559 | − | 0.954075i | −1.03915 | − | 0.0591692i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.45297 | + | 22.1703i | 0.522227 | + | 1.36969i | ||||
\(263\) | −8.63436 | − | 8.63436i | −0.532417 | − | 0.532417i | 0.388874 | − | 0.921291i | \(-0.372864\pi\) |
−0.921291 | + | 0.388874i | \(0.872864\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −13.7777 | + | 13.7777i | −0.846355 | + | 0.846355i | ||||
\(266\) | 2.73045 | + | 1.22308i | 0.167415 | + | 0.0749915i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 10.5280 | + | 30.1625i | 0.643099 | + | 1.84247i | ||||
\(269\) | 11.4515 | − | 4.74335i | 0.698208 | − | 0.289207i | −0.00520737 | − | 0.999986i | \(-0.501658\pi\) |
0.703415 | + | 0.710779i | \(0.251658\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 4.02905i | − | 0.244747i | −0.992484 | − | 0.122374i | \(-0.960949\pi\) | ||
0.992484 | − | 0.122374i | \(-0.0390506\pi\) | |||||||
\(272\) | −2.62488 | + | 22.9749i | −0.159157 | + | 1.39306i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 23.4595 | − | 22.1617i | 1.41724 | − | 1.33884i | ||||
\(275\) | −5.25619 | + | 2.17719i | −0.316960 | + | 0.131289i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.46812 | + | 10.7870i | −0.268464 | + | 0.648128i | −0.999411 | − | 0.0343049i | \(-0.989078\pi\) |
0.730948 | + | 0.682433i | \(0.239078\pi\) | |||||||
\(278\) | −4.35144 | + | 9.71436i | −0.260982 | + | 0.582629i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.62641 | − | 8.27366i | −0.156958 | − | 0.494446i | ||||
\(281\) | −4.45827 | − | 4.45827i | −0.265958 | − | 0.265958i | 0.561511 | − | 0.827469i | \(-0.310220\pi\) |
−0.827469 | + | 0.561511i | \(0.810220\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.9317 | − | 7.01336i | −1.00649 | − | 0.416901i | −0.182315 | − | 0.983240i | \(-0.558359\pi\) |
−0.824172 | + | 0.566339i | \(0.808359\pi\) | |||||||
\(284\) | −19.9166 | − | 22.3216i | −1.18183 | − | 1.32454i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.505653 | + | 17.7754i | −0.0298999 | + | 1.05108i | ||||
\(287\) | −1.25721 | −0.0742108 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.4209 | −0.965937 | ||||||||
\(290\) | 0.0670041 | − | 2.35541i | 0.00393461 | − | 0.138315i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 14.4802 | − | 12.9201i | 0.847392 | − | 0.756090i | ||||
\(293\) | −16.9534 | − | 7.02234i | −0.990429 | − | 0.410249i | −0.172150 | − | 0.985071i | \(-0.555072\pi\) |
−0.818279 | + | 0.574821i | \(0.805072\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.8786 | − | 10.8786i | −0.633377 | − | 0.633377i | ||||
\(296\) | −10.0014 | − | 5.18163i | −0.581317 | − | 0.301176i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.37594 | − | 5.30416i | 0.137634 | − | 0.307262i | ||||
\(299\) | −11.9046 | + | 28.7402i | −0.688459 | + | 1.66209i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.85085 | − | 0.766647i | 0.106681 | − | 0.0441888i | ||||
\(302\) | −5.99479 | + | 5.66316i | −0.344961 | + | 0.325878i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.34050 | + | 1.24316i | −0.248945 | + | 0.0713002i | ||||
\(305\) | 6.34757i | 0.363461i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −26.8443 | + | 11.1193i | −1.53209 | + | 0.634611i | −0.979968 | − | 0.199155i | \(-0.936180\pi\) |
−0.552118 | + | 0.833766i | \(0.686180\pi\) | |||||||
\(308\) | −8.68374 | + | 3.03099i | −0.494802 | + | 0.172707i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −15.7057 | − | 7.03518i | −0.892023 | − | 0.399572i | ||||
\(311\) | 11.6197 | − | 11.6197i | 0.658895 | − | 0.658895i | −0.296224 | − | 0.955119i | \(-0.595727\pi\) |
0.955119 | + | 0.296224i | \(0.0957274\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.9034 | − | 12.9034i | −0.729344 | − | 0.729344i | 0.241145 | − | 0.970489i | \(-0.422477\pi\) |
−0.970489 | + | 0.241145i | \(0.922477\pi\) | |||||||
\(314\) | 1.01738 | + | 2.66838i | 0.0574143 | + | 0.150585i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.30459 | − | 22.9117i | 0.0733889 | − | 1.28889i | ||||
\(317\) | −6.08877 | − | 14.6996i | −0.341979 | − | 0.825612i | −0.997515 | − | 0.0704476i | \(-0.977557\pi\) |
0.655536 | − | 0.755164i | \(-0.272443\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.49670 | −0.139789 | ||||||||
\(320\) | 11.0756 | + | 6.99538i | 0.619143 | + | 0.391053i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −16.0833 | − | 0.457519i | −0.896286 | − | 0.0254965i | ||||
\(323\) | −2.49717 | − | 6.02871i | −0.138946 | − | 0.335446i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.9780 | + | 4.54726i | 0.608953 | + | 0.252236i | ||||
\(326\) | −5.87759 | − | 15.4156i | −0.325530 | − | 0.853794i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.45100 | − | 1.22236i | 0.0801181 | − | 0.0674936i | ||||
\(329\) | 3.62116 | − | 3.62116i | 0.199641 | − | 0.199641i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.88508 | − | 9.37942i | 0.213543 | − | 0.515539i | −0.780419 | − | 0.625256i | \(-0.784994\pi\) |
0.993963 | + | 0.109717i | \(0.0349944\pi\) | |||||||
\(332\) | 31.1351 | − | 10.8674i | 1.70876 | − | 0.596429i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 12.5754 | + | 13.3118i | 0.688093 | + | 0.728387i | ||||
\(335\) | 26.1562i | 1.42907i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 26.4416i | 1.44037i | 0.693784 | + | 0.720183i | \(0.255942\pi\) | ||||
−0.693784 | + | 0.720183i | \(0.744058\pi\) | |||||||
\(338\) | 13.6341 | − | 12.8798i | 0.741595 | − | 0.700570i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −8.22787 | + | 17.0514i | −0.446219 | + | 0.924740i | ||||
\(341\) | −6.97797 | + | 16.8463i | −0.377878 | + | 0.912279i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.8986 | + | 13.8986i | −0.750455 | + | 0.750455i | ||||
\(344\) | −1.39075 | + | 2.68436i | −0.0749842 | + | 0.144731i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −10.3988 | + | 3.96479i | −0.559043 | + | 0.213149i | ||||
\(347\) | 21.7583 | + | 9.01258i | 1.16805 | + | 0.483820i | 0.880546 | − | 0.473960i | \(-0.157176\pi\) |
0.287500 | + | 0.957781i | \(0.407176\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.65403 | + | 6.40740i | 0.142067 | + | 0.342980i | 0.978858 | − | 0.204543i | \(-0.0655708\pi\) |
−0.836791 | + | 0.547523i | \(0.815571\pi\) | |||||||
\(350\) | −0.174761 | + | 6.14343i | −0.00934137 | + | 0.328380i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 7.07531 | − | 11.9412i | 0.377115 | − | 0.636469i | ||||
\(353\) | −9.15953 | −0.487512 | −0.243756 | − | 0.969837i | \(-0.578380\pi\) | ||||
−0.243756 | + | 0.969837i | \(0.578380\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.37295 | − | 22.6283i | −0.497465 | − | 1.20099i | ||||
\(356\) | 11.4419 | + | 12.8236i | 0.606420 | + | 0.679648i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.05042 | − | 3.06942i | 0.425478 | − | 0.162224i | ||||
\(359\) | −14.5008 | − | 14.5008i | −0.765322 | − | 0.765322i | 0.211957 | − | 0.977279i | \(-0.432016\pi\) |
−0.977279 | + | 0.211957i | \(0.932016\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.5341 | + | 12.5341i | −0.659690 | + | 0.659690i | ||||
\(362\) | −1.65302 | + | 3.69029i | −0.0868810 | + | 0.193957i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 17.3010 | + | 8.34832i | 0.906819 | + | 0.437571i | ||||
\(365\) | 14.6792 | − | 6.08032i | 0.768344 | − | 0.318258i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.62846i | 0.293803i | 0.989151 | + | 0.146901i | \(0.0469300\pi\) | ||||
−0.989151 | + | 0.146901i | \(0.953070\pi\) | |||||||
\(368\) | 19.0072 | − | 15.1094i | 0.990821 | − | 0.787632i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −6.33300 | − | 6.70386i | −0.329237 | − | 0.348517i | ||||
\(371\) | 20.6044 | − | 8.53463i | 1.06973 | − | 0.443096i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.8400 | − | 28.5842i | 0.613050 | − | 1.48003i | −0.246584 | − | 0.969122i | \(-0.579308\pi\) |
0.859633 | − | 0.510911i | \(-0.170692\pi\) | |||||||
\(374\) | 18.3075 | + | 8.20063i | 0.946658 | + | 0.424045i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.658554 | + | 7.70012i | −0.0339623 | + | 0.397103i | ||||
\(377\) | 3.68728 | + | 3.68728i | 0.189904 | + | 0.189904i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −24.8544 | − | 10.2950i | −1.27668 | − | 0.528820i | −0.361694 | − | 0.932297i | \(-0.617802\pi\) |
−0.914990 | + | 0.403477i | \(0.867802\pi\) | |||||||
\(380\) | −3.69063 | − | 0.210143i | −0.189325 | − | 0.0107801i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.99983 | − | 0.170676i | −0.306978 | − | 0.00873256i | ||||
\(383\) | 3.10697 | 0.158759 | 0.0793795 | − | 0.996844i | \(-0.474706\pi\) | ||||
0.0793795 | + | 0.996844i | \(0.474706\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.53033 | −0.383781 | ||||||||
\(386\) | −11.3702 | − | 0.323447i | −0.578730 | − | 0.0164630i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 30.7771 | + | 1.75244i | 1.56247 | + | 0.0889667i | ||||
\(389\) | 8.30581 | + | 3.44038i | 0.421121 | + | 0.174434i | 0.583173 | − | 0.812348i | \(-0.301811\pi\) |
−0.162051 | + | 0.986782i | \(0.551811\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 24.8143 | + | 24.8143i | 1.25491 | + | 1.25491i | ||||
\(392\) | 0.840486 | − | 9.82736i | 0.0424510 | − | 0.496357i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 28.5976 | + | 12.8100i | 1.44072 | + | 0.645356i | ||||
\(395\) | 7.19025 | − | 17.3588i | 0.361781 | − | 0.873416i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.9030 | − | 6.58725i | 0.798150 | − | 0.330605i | 0.0539347 | − | 0.998544i | \(-0.482824\pi\) |
0.744215 | + | 0.667940i | \(0.232824\pi\) | |||||||
\(398\) | 3.54880 | + | 3.75662i | 0.177885 | + | 0.188302i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.77143 | − | 7.26030i | −0.288571 | − | 0.363015i | ||||
\(401\) | − | 17.8067i | − | 0.889227i | −0.895723 | − | 0.444613i | \(-0.853341\pi\) | ||
0.895723 | − | 0.444613i | \(-0.146659\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 35.1851 | − | 14.5741i | 1.75269 | − | 0.725990i | ||||
\(404\) | 20.2520 | + | 9.77228i | 1.00757 | + | 0.486189i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.10257 | + | 2.46144i | −0.0547198 | + | 0.122159i | ||||
\(407\) | −6.90945 | + | 6.90945i | −0.342489 | + | 0.342489i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.4187 | − | 15.4187i | −0.762408 | − | 0.762408i | 0.214349 | − | 0.976757i | \(-0.431237\pi\) |
−0.976757 | + | 0.214349i | \(0.931237\pi\) | |||||||
\(410\) | 1.45143 | − | 0.553392i | 0.0716809 | − | 0.0273301i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −15.1604 | − | 16.9911i | −0.746899 | − | 0.837091i | ||||
\(413\) | 6.73880 | + | 16.2689i | 0.331595 | + | 0.800541i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 26.9996 | 1.32536 | ||||||||
\(416\) | −28.0847 | + | 7.18626i | −1.37697 | + | 0.352335i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.111375 | + | 3.91518i | −0.00544751 | + | 0.191498i | ||||
\(419\) | 5.74289 | + | 13.8646i | 0.280559 | + | 0.677328i | 0.999849 | − | 0.0173813i | \(-0.00553291\pi\) |
−0.719290 | + | 0.694710i | \(0.755533\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.87628 | + | 1.60561i | 0.188918 | + | 0.0782525i | 0.475137 | − | 0.879912i | \(-0.342398\pi\) |
−0.286219 | + | 0.958164i | \(0.592398\pi\) | |||||||
\(422\) | −1.49532 | + | 0.570126i | −0.0727909 | + | 0.0277533i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −15.4824 | + | 29.8835i | −0.751891 | + | 1.45127i | ||||
\(425\) | 9.47846 | − | 9.47846i | 0.459773 | − | 0.459773i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.78036 | − | 6.71239i | 0.134551 | − | 0.324835i | ||||
\(428\) | −4.00733 | + | 8.30476i | −0.193702 | + | 0.401426i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.79932 | + | 1.69978i | −0.0867707 | + | 0.0819706i | ||||
\(431\) | − | 16.2867i | − | 0.784503i | −0.919858 | − | 0.392252i | \(-0.871696\pi\) | ||
0.919858 | − | 0.392252i | \(-0.128304\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.2864i | 1.35936i | 0.733510 | + | 0.679678i | \(0.237881\pi\) | ||||
−0.733510 | + | 0.679678i | \(0.762119\pi\) | |||||||
\(434\) | 13.5268 | + | 14.3189i | 0.649308 | + | 0.687331i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.6313 | + | 3.71077i | −0.509148 | + | 0.177714i | ||||
\(437\) | −2.62209 | + | 6.33028i | −0.125431 | + | 0.302818i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 13.8438 | − | 13.8438i | 0.660730 | − | 0.660730i | −0.294822 | − | 0.955552i | \(-0.595260\pi\) |
0.955552 | + | 0.294822i | \(0.0952604\pi\) | |||||||
\(440\) | 8.69107 | − | 7.32158i | 0.414330 | − | 0.349043i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.9264 | − | 39.1487i | −0.709977 | − | 1.86212i | ||||
\(443\) | −5.95791 | − | 2.46785i | −0.283069 | − | 0.117251i | 0.236632 | − | 0.971599i | \(-0.423957\pi\) |
−0.519701 | + | 0.854348i | \(0.673957\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.38468 | + | 12.9998i | 0.255258 | + | 0.616248i | ||||
\(446\) | −10.4658 | − | 0.297720i | −0.495571 | − | 0.0140974i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.64802 | − | 12.2488i | −0.408581 | − | 0.578700i | ||||
\(449\) | 27.7832 | 1.31117 | 0.655585 | − | 0.755121i | \(-0.272422\pi\) | ||||
0.655585 | + | 0.755121i | \(0.272422\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.629843 | − | 1.52058i | −0.0296581 | − | 0.0716011i | ||||
\(452\) | −0.469125 | + | 8.23897i | −0.0220658 | + | 0.387528i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.76022 | + | 17.7306i | 0.317273 | + | 0.832138i | ||||
\(455\) | 11.1212 | + | 11.1212i | 0.521371 | + | 0.521371i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.61796 | − | 6.61796i | 0.309575 | − | 0.309575i | −0.535170 | − | 0.844745i | \(-0.679752\pi\) |
0.844745 | + | 0.535170i | \(0.179752\pi\) | |||||||
\(458\) | −14.8806 | − | 6.66558i | −0.695323 | − | 0.311462i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 18.7693 | − | 6.55125i | 0.875121 | − | 0.305454i | ||||
\(461\) | −25.1777 | + | 10.4289i | −1.17264 | + | 0.485724i | −0.882065 | − | 0.471128i | \(-0.843847\pi\) |
−0.290576 | + | 0.956852i | \(0.593847\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 33.3492i | 1.54987i | 0.632040 | + | 0.774935i | \(0.282218\pi\) | ||||
−0.632040 | + | 0.774935i | \(0.717782\pi\) | |||||||
\(464\) | −1.12068 | − | 3.91286i | −0.0520263 | − | 0.181650i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 15.4151 | − | 14.5623i | 0.714091 | − | 0.674588i | ||||
\(467\) | −7.09498 | + | 2.93884i | −0.328317 | + | 0.135993i | −0.540752 | − | 0.841182i | \(-0.681860\pi\) |
0.212436 | + | 0.977175i | \(0.431860\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.4569 | − | 27.6595i | 0.529033 | − | 1.27720i | ||||
\(470\) | −2.58663 | + | 5.77451i | −0.119312 | + | 0.266358i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −23.5955 | − | 12.2246i | −1.08607 | − | 0.562685i | ||||
\(473\) | 1.85449 | + | 1.85449i | 0.0852698 | + | 0.0852698i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.41801 | + | 1.00157i | 0.110946 | + | 0.0459553i | ||||
\(476\) | 16.1696 | − | 14.4274i | 0.741133 | − | 0.661280i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.11481 | + | 39.1892i | −0.0509902 | + | 1.79247i | ||||
\(479\) | −1.66547 | −0.0760971 | −0.0380485 | − | 0.999276i | \(-0.512114\pi\) | ||||
−0.0380485 | + | 0.999276i | \(0.512114\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 20.4085 | 0.930549 | ||||||||
\(482\) | 0.769570 | − | 27.0529i | 0.0350530 | − | 1.23223i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.63050 | + | 7.43116i | 0.301386 | + | 0.337780i | ||||
\(485\) | 23.3179 | + | 9.65859i | 1.05881 | + | 0.438574i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.4292 | + | 15.4292i | 0.699165 | + | 0.699165i | 0.964230 | − | 0.265066i | \(-0.0853936\pi\) |
−0.265066 | + | 0.964230i | \(0.585394\pi\) | |||||||
\(488\) | 3.31739 | + | 10.4504i | 0.150171 | + | 0.473065i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.30121 | − | 7.36978i | 0.149133 | − | 0.332933i | ||||
\(491\) | 7.65362 | − | 18.4775i | 0.345403 | − | 0.833877i | −0.651747 | − | 0.758436i | \(-0.725964\pi\) |
0.997150 | − | 0.0754405i | \(-0.0240363\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.43474 | − | 2.25114i | 0.244769 | − | 0.101386i | ||||
\(494\) | 5.94665 | − | 5.61768i | 0.267553 | − | 0.252751i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −29.5339 | − | 3.37425i | −1.32611 | − | 0.151508i | ||||
\(497\) | 28.0344i | 1.25751i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −27.2740 | + | 11.2973i | −1.22095 | + | 0.505735i | −0.897712 | − | 0.440582i | \(-0.854772\pi\) |
−0.323240 | + | 0.946317i | \(0.604772\pi\) | |||||||
\(500\) | −7.89861 | − | 22.6294i | −0.353236 | − | 1.01202i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −32.1129 | − | 14.3846i | −1.43327 | − | 0.642016i | ||||
\(503\) | 22.9821 | − | 22.9821i | 1.02472 | − | 1.02472i | 0.0250340 | − | 0.999687i | \(-0.492031\pi\) |
0.999687 | − | 0.0250340i | \(-0.00796941\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.0181 | + | 13.0181i | 0.579300 | + | 0.579300i | ||||
\(506\) | −7.50412 | − | 19.6817i | −0.333599 | − | 0.874957i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 15.3445 | + | 0.873711i | 0.680801 | + | 0.0387646i | ||||
\(509\) | 6.17413 | + | 14.9057i | 0.273663 | + | 0.660682i | 0.999634 | − | 0.0270437i | \(-0.00860933\pi\) |
−0.725971 | + | 0.687725i | \(0.758609\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.1862 | −0.804509 | ||||||||
\(512\) | 21.8903 | + | 5.72852i | 0.967423 | + | 0.253167i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −15.8756 | − | 0.451610i | −0.700242 | − | 0.0199197i | ||||
\(515\) | −7.13463 | − | 17.2245i | −0.314390 | − | 0.759004i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.19388 | + | 2.56559i | 0.272407 | + | 0.112835i | ||||
\(518\) | 3.76056 | + | 9.86315i | 0.165230 | + | 0.433362i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −23.6484 | − | 2.02253i | −1.03705 | − | 0.0886940i | ||||
\(521\) | −10.2507 | + | 10.2507i | −0.449093 | + | 0.449093i | −0.895053 | − | 0.445960i | \(-0.852862\pi\) |
0.445960 | + | 0.895053i | \(0.352862\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.70945 | − | 18.6123i | 0.337111 | − | 0.813857i | −0.660880 | − | 0.750492i | \(-0.729817\pi\) |
0.997990 | − | 0.0633655i | \(-0.0201834\pi\) | |||||||
\(524\) | 11.0579 | + | 31.6808i | 0.483068 | + | 1.38398i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.8587 | − | 12.5531i | −0.517063 | − | 0.547342i | ||||
\(527\) | − | 42.9622i | − | 1.87146i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 13.8481i | − | 0.602090i | ||||||
\(530\) | −20.0307 | + | 18.9226i | −0.870079 | + | 0.821946i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.81070 | + | 1.83879i | 0.165215 | + | 0.0797217i | ||||
\(533\) | −1.31549 | + | 3.17586i | −0.0569800 | + | 0.137562i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.33837 | + | 5.33837i | −0.230798 | + | 0.230798i | ||||
\(536\) | 13.6698 | + | 43.0624i | 0.590447 | + | 1.86001i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 16.3790 | − | 6.24489i | 0.706149 | − | 0.269236i | ||||
\(539\) | −7.90501 | − | 3.27436i | −0.340493 | − | 0.141037i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.8201 | − | 26.1221i | −0.465194 | − | 1.12308i | −0.966237 | − | 0.257655i | \(-0.917050\pi\) |
0.501043 | − | 0.865422i | \(-0.332950\pi\) | |||||||
\(542\) | 0.162023 | − | 5.69563i | 0.00695947 | − | 0.244648i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.63454 | + | 32.3727i | −0.198704 | + | 1.38797i | ||||
\(545\) | −9.21921 | −0.394908 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.17792 | + | 7.67217i | 0.135878 | + | 0.328038i | 0.977143 | − | 0.212585i | \(-0.0681883\pi\) |
−0.841265 | + | 0.540624i | \(0.818188\pi\) | |||||||
\(548\) | 34.0545 | − | 30.3853i | 1.45474 | − | 1.29800i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −7.51793 | + | 2.86639i | −0.320565 | + | 0.122223i | ||||
\(551\) | 0.812156 | + | 0.812156i | 0.0345990 | + | 0.0345990i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.2070 | + | 15.2070i | −0.646668 | + | 0.646668i | ||||
\(554\) | −6.75011 | + | 15.0693i | −0.286785 | + | 0.640233i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.54202 | + | 13.5576i | −0.277444 | + | 0.574972i | ||||
\(557\) | −21.1381 | + | 8.75569i | −0.895650 | + | 0.370991i | −0.782546 | − | 0.622593i | \(-0.786079\pi\) |
−0.113104 | + | 0.993583i | \(0.536079\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 5.47765i | − | 0.231680i | ||||||
\(560\) | −3.38010 | − | 11.8016i | −0.142835 | − | 0.498709i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.12311 | − | 6.48168i | −0.258288 | − | 0.273413i | ||||
\(563\) | −4.49306 | + | 1.86108i | −0.189360 | + | 0.0784354i | −0.475348 | − | 0.879798i | \(-0.657678\pi\) |
0.285989 | + | 0.958233i | \(0.407678\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.58558 | + | 6.24215i | −0.108776 | + | 0.262609i | ||||
\(566\) | −23.6534 | − | 10.5953i | −0.994226 | − | 0.445352i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −27.2573 | − | 32.3557i | −1.14369 | − | 1.35762i | ||||
\(569\) | 1.97117 | + | 1.97117i | 0.0826359 | + | 0.0826359i | 0.747217 | − | 0.664581i | \(-0.231390\pi\) |
−0.664581 | + | 0.747217i | \(0.731390\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.41522 | − | 1.82884i | −0.184771 | − | 0.0765347i | 0.288380 | − | 0.957516i | \(-0.406883\pi\) |
−0.473151 | + | 0.880981i | \(0.656883\pi\) | |||||||
\(572\) | −1.42962 | + | 25.1077i | −0.0597756 | + | 1.04980i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.77724 | − | 0.0505570i | −0.0741808 | − | 0.00211021i | ||||
\(575\) | −14.0751 | −0.586971 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.08446 | −0.211669 | −0.105834 | − | 0.994384i | \(-0.533751\pi\) | ||||
−0.105834 | + | 0.994384i | \(0.533751\pi\) | |||||||
\(578\) | −23.2133 | − | 0.660345i | −0.965546 | − | 0.0274667i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.189439 | − | 3.32702i | 0.00786605 | − | 0.138147i | ||||
\(581\) | −28.5514 | − | 11.8264i | −1.18451 | − | 0.490640i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 20.6450 | + | 20.6450i | 0.855029 | + | 0.855029i | ||||
\(584\) | 20.9894 | − | 17.6821i | 0.868549 | − | 0.731689i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −23.6837 | − | 10.6088i | −0.978363 | − | 0.438247i | ||||
\(587\) | 1.78191 | − | 4.30191i | 0.0735473 | − | 0.177559i | −0.882830 | − | 0.469692i | \(-0.844365\pi\) |
0.956378 | + | 0.292133i | \(0.0943650\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.74983 | − | 3.21008i | 0.319326 | − | 0.132269i | ||||
\(590\) | −14.9410 | − | 15.8159i | −0.615111 | − | 0.651131i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −13.9300 | − | 7.72716i | −0.572518 | − | 0.317584i | ||||
\(593\) | 29.2644i | 1.20174i | 0.799345 | + | 0.600872i | \(0.205180\pi\) | ||||
−0.799345 | + | 0.600872i | \(0.794820\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 16.3918 | − | 6.78969i | 0.671997 | − | 0.278350i | ||||
\(596\) | 3.57203 | − | 7.40264i | 0.146316 | − | 0.303224i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −17.9845 | + | 40.1496i | −0.735442 | + | 1.64184i | ||||
\(599\) | −26.1363 | + | 26.1363i | −1.06790 | + | 1.06790i | −0.0703791 | + | 0.997520i | \(0.522421\pi\) |
−0.997520 | + | 0.0703791i | \(0.977579\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.06830 | + | 6.06830i | 0.247531 | + | 0.247531i | 0.819957 | − | 0.572426i | \(-0.193997\pi\) |
−0.572426 | + | 0.819957i | \(0.693997\pi\) | |||||||
\(602\) | 2.64727 | − | 1.00933i | 0.107895 | − | 0.0411374i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.70222 | + | 7.76461i | −0.354088 | + | 0.315937i | ||||
\(605\) | 3.12038 | + | 7.53326i | 0.126861 | + | 0.306271i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.7677 | 0.924111 | 0.462055 | − | 0.886851i | \(-0.347112\pi\) | ||||
0.462055 | + | 0.886851i | \(0.347112\pi\) | |||||||
\(608\) | −6.18591 | + | 1.58284i | −0.250872 | + | 0.0641926i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.255259 | + | 8.97319i | −0.0103351 | + | 0.363314i | ||||
\(611\) | −5.35847 | − | 12.9365i | −0.216781 | − | 0.523355i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 24.3883 | + | 10.1020i | 0.985034 | + | 0.408015i | 0.816288 | − | 0.577645i | \(-0.196028\pi\) |
0.168746 | + | 0.985660i | \(0.446028\pi\) | |||||||
\(614\) | −38.3954 | + | 14.6392i | −1.54951 | + | 0.590789i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −12.3976 | + | 3.93553i | −0.499513 | + | 0.158567i | ||||
\(617\) | −28.1146 | + | 28.1146i | −1.13185 | + | 1.13185i | −0.141980 | + | 0.989870i | \(0.545347\pi\) |
−0.989870 | + | 0.141980i | \(0.954653\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.80079 | − | 23.6612i | 0.393927 | − | 0.951024i | −0.595149 | − | 0.803616i | \(-0.702907\pi\) |
0.989076 | − | 0.147408i | \(-0.0470931\pi\) | |||||||
\(620\) | −21.9193 | − | 10.5768i | −0.880301 | − | 0.424775i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 16.8934 | − | 15.9589i | 0.677364 | − | 0.639892i | ||||
\(623\) | − | 16.1055i | − | 0.645254i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 8.03019i | − | 0.321208i | ||||||
\(626\) | −17.7219 | − | 18.7597i | −0.708310 | − | 0.749788i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.33091 | + | 3.81304i | 0.0531091 | + | 0.152157i | ||||
\(629\) | 8.81038 | − | 21.2701i | 0.351293 | − | 0.848096i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29.2246 | − | 29.2246i | 1.16341 | − | 1.16341i | 0.179689 | − | 0.983723i | \(-0.442491\pi\) |
0.983723 | − | 0.179689i | \(-0.0575091\pi\) | |||||||
\(632\) | 2.76559 | − | 32.3365i | 0.110009 | − | 1.28628i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.01622 | − | 21.0248i | −0.318365 | − | 0.835002i | ||||
\(635\) | 11.6255 | + | 4.81546i | 0.461346 | + | 0.191096i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.83881 | + | 16.5104i | 0.270964 | + | 0.654164i | ||||
\(638\) | −3.52945 | − | 0.100402i | −0.139732 | − | 0.00397494i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 15.3756 | + | 10.3343i | 0.607773 | + | 0.408501i | ||||
\(641\) | −23.2229 | −0.917249 | −0.458624 | − | 0.888630i | \(-0.651658\pi\) | ||||
−0.458624 | + | 0.888630i | \(0.651658\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.52528 | − | 6.09658i | −0.0995875 | − | 0.240425i | 0.866232 | − | 0.499643i | \(-0.166535\pi\) |
−0.965819 | + | 0.259217i | \(0.916535\pi\) | |||||||
\(644\) | −22.7176 | − | 1.29353i | −0.895199 | − | 0.0509724i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.28767 | − | 8.62286i | −0.129352 | − | 0.339262i | ||||
\(647\) | −2.80148 | − | 2.80148i | −0.110138 | − | 0.110138i | 0.649890 | − | 0.760028i | \(-0.274815\pi\) |
−0.760028 | + | 0.649890i | \(0.774815\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −16.3009 | + | 16.3009i | −0.639868 | + | 0.639868i | ||||
\(650\) | 15.3362 | + | 6.86966i | 0.601534 | + | 0.269450i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.68888 | − | 22.0286i | −0.301120 | − | 0.862705i | ||||
\(653\) | 13.9194 | − | 5.76560i | 0.544708 | − | 0.225625i | −0.0933235 | − | 0.995636i | \(-0.529749\pi\) |
0.638031 | + | 0.770011i | \(0.279749\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 27.4728i | 1.07345i | ||||||||
\(656\) | 2.10035 | − | 1.66963i | 0.0820049 | − | 0.0651881i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.26465 | − | 4.97341i | 0.205237 | − | 0.193884i | ||||
\(659\) | −3.09009 | + | 1.27996i | −0.120373 | + | 0.0498600i | −0.442057 | − | 0.896987i | \(-0.645751\pi\) |
0.321684 | + | 0.946847i | \(0.395751\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.40456 | − | 10.6336i | 0.171318 | − | 0.413598i | −0.814779 | − | 0.579772i | \(-0.803142\pi\) |
0.986096 | + | 0.166175i | \(0.0531415\pi\) | |||||||
\(662\) | 5.86929 | − | 13.1029i | 0.228117 | − | 0.509259i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 44.4509 | − | 14.1106i | 1.72503 | − | 0.547598i | ||||
\(665\) | 2.44955 | + | 2.44955i | 0.0949894 | + | 0.0949894i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.70660 | − | 2.36375i | −0.220960 | − | 0.0915248i | ||||
\(668\) | 17.2417 | + | 19.3238i | 0.667103 | + | 0.747659i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.05184 | + | 36.9755i | −0.0406360 | + | 1.42849i | ||||
\(671\) | 9.51145 | 0.367186 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −32.6492 | −1.25853 | −0.629267 | − | 0.777190i | \(-0.716645\pi\) | ||||
−0.629267 | + | 0.777190i | \(0.716645\pi\) | |||||||
\(674\) | −1.06331 | + | 37.3790i | −0.0409573 | + | 1.43978i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 19.7916 | − | 17.6592i | 0.761216 | − | 0.679199i | ||||
\(677\) | 5.71034 | + | 2.36530i | 0.219466 | + | 0.0909059i | 0.489708 | − | 0.871887i | \(-0.337104\pi\) |
−0.270241 | + | 0.962793i | \(0.587104\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −20.4274 | − | 20.4274i | −0.783933 | − | 0.783933i | ||||
\(680\) | −12.3170 | + | 23.7737i | −0.472334 | + | 0.911678i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −10.5418 | + | 23.5340i | −0.403666 | + | 0.901165i | ||||
\(683\) | 5.03873 | − | 12.1646i | 0.192802 | − | 0.465465i | −0.797685 | − | 0.603075i | \(-0.793942\pi\) |
0.990486 | + | 0.137610i | \(0.0439421\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 34.5224 | − | 14.2996i | 1.31903 | − | 0.546361i | ||||
\(686\) | −20.2066 | + | 19.0888i | −0.771491 | + | 0.728812i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.07397 | + | 3.73880i | −0.0790693 | + | 0.142540i | ||||
\(689\) | − | 60.9795i | − | 2.32313i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −33.3930 | + | 13.8318i | −1.27033 | + | 0.526187i | −0.913064 | − | 0.407816i | \(-0.866291\pi\) |
−0.357265 | + | 0.934003i | \(0.616291\pi\) | |||||||
\(692\) | −14.8596 | + | 5.18662i | −0.564878 | + | 0.197166i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 30.3960 | + | 13.6155i | 1.15382 | + | 0.516839i | ||||
\(695\) | −8.71497 | + | 8.71497i | −0.330577 | + | 0.330577i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.74204 | + | 2.74204i | 0.103862 | + | 0.103862i | ||||
\(698\) | 3.49419 | + | 9.16450i | 0.132257 | + | 0.346881i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.494099 | + | 8.67757i | −0.0186752 | + | 0.327981i | ||||
\(701\) | 10.9582 | + | 26.4553i | 0.413884 | + | 0.999204i | 0.984085 | + | 0.177699i | \(0.0568652\pi\) |
−0.570201 | + | 0.821505i | \(0.693135\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.49516 | 0.169538 | ||||||||
\(704\) | 10.4822 | − | 16.5961i | 0.395061 | − | 0.625488i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −12.9483 | − | 0.368338i | −0.487315 | − | 0.0138626i | ||||
\(707\) | −8.06415 | − | 19.4686i | −0.303284 | − | 0.732191i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.29870 | + | 3.02322i | 0.274109 | + | 0.113539i | 0.515503 | − | 0.856887i | \(-0.327605\pi\) |
−0.241395 | + | 0.970427i | \(0.577605\pi\) | |||||||
\(710\) | −12.3400 | − | 32.3652i | −0.463113 | − | 1.21465i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 15.6591 | + | 18.5881i | 0.586849 | + | 0.696617i | ||||
\(713\) | −31.8984 | + | 31.8984i | −1.19461 | + | 1.19461i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.87938 | + | 19.0225i | −0.294672 | + | 0.711401i | ||||
\(716\) | 11.5038 | − | 4.01532i | 0.429919 | − | 0.150059i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −19.9158 | − | 21.0820i | −0.743251 | − | 0.786775i | ||||
\(719\) | − | 18.4601i | − | 0.688447i | −0.938888 | − | 0.344223i | \(-0.888142\pi\) | ||
0.938888 | − | 0.344223i | \(-0.111858\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 21.3396i | 0.794729i | ||||||||
\(722\) | −18.2228 | + | 17.2147i | −0.678182 | + | 0.640665i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.48518 | + | 5.15027i | −0.0923611 | + | 0.191408i | ||||
\(725\) | −0.902895 | + | 2.17978i | −0.0335327 | + | 0.0809551i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −30.9545 | + | 30.9545i | −1.14804 | + | 1.14804i | −0.161099 | + | 0.986938i | \(0.551504\pi\) |
−0.986938 | + | 0.161099i | \(0.948496\pi\) | |||||||
\(728\) | 24.1217 | + | 12.4973i | 0.894009 | + | 0.463180i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 20.9956 | − | 8.00509i | 0.777083 | − | 0.296282i | ||||
\(731\) | −5.70890 | − | 2.36470i | −0.211151 | − | 0.0874618i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.44239 | + | 5.89645i | 0.0902118 | + | 0.217791i | 0.962545 | − | 0.271121i | \(-0.0873942\pi\) |
−0.872334 | + | 0.488911i | \(0.837394\pi\) | |||||||
\(734\) | −0.226341 | + | 7.95662i | −0.00835439 | + | 0.293684i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 27.4770 | − | 20.5949i | 1.01282 | − | 0.759140i | ||||
\(737\) | 39.1935 | 1.44371 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −17.8479 | − | 43.0886i | −0.656545 | − | 1.58504i | −0.803104 | − | 0.595839i | \(-0.796820\pi\) |
0.146559 | − | 0.989202i | \(-0.453180\pi\) | |||||||
\(740\) | −8.68301 | − | 9.73153i | −0.319194 | − | 0.357738i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 29.4705 | − | 11.2363i | 1.08190 | − | 0.412499i | ||||
\(743\) | 18.7851 | + | 18.7851i | 0.689157 | + | 0.689157i | 0.962046 | − | 0.272889i | \(-0.0879790\pi\) |
−0.272889 | + | 0.962046i | \(0.587979\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.75848 | − | 4.75848i | 0.174337 | − | 0.174337i | ||||
\(746\) | 17.8869 | − | 39.9317i | 0.654887 | − | 1.46200i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 25.5505 | + | 12.3290i | 0.934217 | + | 0.450792i | ||||
\(749\) | 7.98350 | − | 3.30688i | 0.291711 | − | 0.120831i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 31.0990i | − | 1.13482i | −0.823436 | − | 0.567409i | \(-0.807946\pi\) | ||
0.823436 | − | 0.567409i | \(-0.192054\pi\) | |||||||
\(752\) | −1.24061 | + | 10.8587i | −0.0452404 | + | 0.395977i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 5.06421 | + | 5.36077i | 0.184428 | + | 0.195228i | ||||
\(755\) | −8.82178 | + | 3.65410i | −0.321058 | + | 0.132986i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.986433 | − | 2.38146i | 0.0358525 | − | 0.0865556i | −0.904939 | − | 0.425541i | \(-0.860084\pi\) |
0.940792 | + | 0.338986i | \(0.110084\pi\) | |||||||
\(758\) | −34.7212 | − | 15.5530i | −1.26113 | − | 0.564909i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.20877 | − | 0.445481i | −0.188942 | − | 0.0161593i | ||||
\(761\) | 28.0768 | + | 28.0768i | 1.01778 | + | 1.01778i | 0.999839 | + | 0.0179435i | \(0.00571189\pi\) |
0.0179435 | + | 0.999839i | \(0.494288\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.74908 | + | 4.03820i | 0.352941 | + | 0.146193i | ||||
\(764\) | −8.47475 | − | 0.482550i | −0.306606 | − | 0.0174581i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.39215 | + | 0.124943i | 0.158695 | + | 0.00451437i | ||||
\(767\) | 48.1484 | 1.73854 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.73480 | 0.0625585 | 0.0312793 | − | 0.999511i | \(-0.490042\pi\) | ||||
0.0312793 | + | 0.999511i | \(0.490042\pi\) | |||||||
\(770\) | −10.6452 | − | 0.302822i | −0.383626 | − | 0.0109129i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −16.0604 | − | 0.914478i | −0.578028 | − | 0.0329128i | ||||
\(773\) | −31.1210 | − | 12.8907i | −1.11934 | − | 0.463647i | −0.255197 | − | 0.966889i | \(-0.582140\pi\) |
−0.864146 | + | 0.503242i | \(0.832140\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.1844 | + | 12.1844i | 0.437678 | + | 0.437678i | ||||
\(776\) | 43.4373 | + | 3.71498i | 1.55931 | + | 0.133360i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.6031 | + | 5.19747i | 0.415991 | + | 0.186338i | ||||
\(779\) | −0.289747 | + | 0.699512i | −0.0103813 | + | 0.0250626i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −33.9072 | + | 14.0448i | −1.21329 | + | 0.502563i | ||||
\(782\) | 34.0806 | + | 36.0764i | 1.21872 | + | 1.29009i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.58334 | − | 13.8586i | 0.0565479 | − | 0.494949i | ||||
\(785\) | 3.30658i | 0.118017i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 45.0368 | − | 18.6548i | 1.60539 | − | 0.664974i | 0.613223 | − | 0.789910i | \(-0.289873\pi\) |
0.992165 | + | 0.124936i | \(0.0398726\pi\) | |||||||
\(788\) | 39.9116 | + | 19.2587i | 1.42179 | + | 0.686063i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 10.8625 | − | 24.2500i | 0.386470 | − | 0.862775i | ||||
\(791\) | 5.46838 | − | 5.46838i | 0.194433 | − | 0.194433i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −14.0471 | − | 14.0471i | −0.498826 | − | 0.498826i | ||||
\(794\) | 22.7461 | − | 8.67249i | 0.807228 | − | 0.307775i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.86566 | + | 5.45322i | 0.172459 | + | 0.193284i | ||||
\(797\) | 12.8982 | + | 31.1390i | 0.456877 | + | 1.10300i | 0.969655 | + | 0.244478i | \(0.0786164\pi\) |
−0.512778 | + | 0.858521i | \(0.671384\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −15.7959 | −0.558819 | ||||||||
\(800\) | −7.86677 | − | 10.4956i | −0.278132 | − | 0.371074i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.716074 | − | 25.1724i | 0.0252855 | − | 0.888867i | ||||
\(803\) | −9.11099 | − | 21.9959i | −0.321520 | − | 0.776218i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −17.2117 | − | 7.12932i | −0.606633 | − | 0.251276i | ||||
\(806\) | 50.3252 | − | 19.1877i | 1.77263 | − | 0.675857i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 28.2361 | + | 14.6289i | 0.993342 | + | 0.514643i | ||||
\(809\) | 1.33912 | − | 1.33912i | 0.0470811 | − | 0.0470811i | −0.683174 | − | 0.730255i | \(-0.739401\pi\) |
0.730255 | + | 0.683174i | \(0.239401\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −19.8815 | + | 47.9981i | −0.698132 | + | 1.68544i | 0.0295838 | + | 0.999562i | \(0.490582\pi\) |
−0.727716 | + | 0.685878i | \(0.759418\pi\) | |||||||
\(812\) | −1.65763 | + | 3.43526i | −0.0581713 | + | 0.120554i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −10.0453 | + | 9.48963i | −0.352089 | + | 0.332611i | ||||
\(815\) | − | 19.1026i | − | 0.669136i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 1.20650i | − | 0.0422101i | ||||||
\(818\) | −21.1765 | − | 22.4166i | −0.740420 | − | 0.783779i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.07405 | − | 0.723930i | 0.0724290 | − | 0.0252807i | ||||
\(821\) | −0.106271 | + | 0.256562i | −0.00370889 | + | 0.00895406i | −0.925723 | − | 0.378202i | \(-0.876543\pi\) |
0.922014 | + | 0.387156i | \(0.126543\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.33537 | − | 1.33537i | 0.0465479 | − | 0.0465479i | −0.683450 | − | 0.729998i | \(-0.739521\pi\) |
0.729998 | + | 0.683450i | \(0.239521\pi\) | |||||||
\(824\) | −20.7481 | − | 24.6290i | −0.722794 | − | 0.857991i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.87202 | + | 23.2694i | 0.308697 | + | 0.809646i | ||||
\(827\) | 23.3468 | + | 9.67056i | 0.811848 | + | 0.336278i | 0.749691 | − | 0.661788i | \(-0.230202\pi\) |
0.0621568 | + | 0.998066i | \(0.480202\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.2848 | − | 24.8297i | −0.357205 | − | 0.862370i | −0.995691 | − | 0.0927359i | \(-0.970439\pi\) |
0.638486 | − | 0.769634i | \(-0.279561\pi\) | |||||||
\(830\) | 38.1677 | + | 1.08575i | 1.32482 | + | 0.0376870i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −39.9907 | + | 9.02941i | −1.38643 | + | 0.313039i | ||||
\(833\) | 20.1597 | 0.698492 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.11414 | + | 19.5893i | 0.280801 | + | 0.677914i | ||||
\(836\) | −0.314887 | + | 5.53018i | −0.0108906 | + | 0.191265i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 7.56084 | + | 19.8305i | 0.261185 | + | 0.685032i | ||||
\(839\) | −7.12216 | − | 7.12216i | −0.245884 | − | 0.245884i | 0.573395 | − | 0.819279i | \(-0.305626\pi\) |
−0.819279 | + | 0.573395i | \(0.805626\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 19.7740 | − | 19.7740i | 0.681861 | − | 0.681861i | ||||
\(842\) | 5.41510 | + | 2.42563i | 0.186617 | + | 0.0835928i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −2.13677 | + | 0.745821i | −0.0735506 | + | 0.0256722i | ||||
\(845\) | 20.0635 | − | 8.31059i | 0.690207 | − | 0.285893i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 9.33302i | − | 0.320687i | ||||||
\(848\) | −23.0883 | + | 41.6219i | −0.792855 | + | 1.42930i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 13.7803 | − | 13.0180i | 0.472661 | − | 0.446513i | ||||
\(851\) | −22.3341 | + | 9.25108i | −0.765603 | + | 0.317123i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −10.6705 | + | 25.7608i | −0.365349 | + | 0.882032i | 0.629149 | + | 0.777284i | \(0.283403\pi\) |
−0.994499 | + | 0.104747i | \(0.966597\pi\) | |||||||
\(854\) | 4.20037 | − | 9.37711i | 0.143734 | − | 0.320878i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.99889 | + | 11.5788i | −0.205038 | + | 0.395755i | ||||
\(857\) | −20.0048 | − | 20.0048i | −0.683349 | − | 0.683349i | 0.277404 | − | 0.960753i | \(-0.410526\pi\) |
−0.960753 | + | 0.277404i | \(0.910526\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.53664 | − | 0.636496i | −0.0524294 | − | 0.0217170i | 0.356315 | − | 0.934366i | \(-0.384033\pi\) |
−0.408744 | + | 0.912649i | \(0.634033\pi\) | |||||||
\(860\) | −2.61194 | + | 2.33052i | −0.0890665 | + | 0.0794701i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.654948 | − | 23.0236i | 0.0223076 | − | 0.784186i | ||||
\(863\) | −3.22858 | −0.109902 | −0.0549510 | − | 0.998489i | \(-0.517500\pi\) | ||||
−0.0549510 | + | 0.998489i | \(0.517500\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.8859 | −0.438133 | ||||||||
\(866\) | −1.13750 | + | 39.9868i | −0.0386538 | + | 1.35881i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 18.5463 | + | 20.7858i | 0.629501 | + | 0.705516i | ||||
\(869\) | −26.0111 | − | 10.7742i | −0.882366 | − | 0.365488i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −57.8832 | − | 57.8832i | −1.96130 | − | 1.96130i | ||||
\(872\) | −15.1781 | + | 4.81818i | −0.513995 | + | 0.163164i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.96125 | + | 8.84330i | −0.133991 | + | 0.299129i | ||||
\(875\) | −8.59556 | + | 20.7515i | −0.290583 | + | 0.701530i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −23.7751 | + | 9.84797i | −0.802828 | + | 0.332542i | −0.746089 | − | 0.665847i | \(-0.768070\pi\) |
−0.0567395 | + | 0.998389i | \(0.518070\pi\) | |||||||
\(878\) | 20.1269 | − | 19.0135i | 0.679251 | − | 0.641675i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 12.5805 | − | 10.0006i | 0.424088 | − | 0.337120i | ||||
\(881\) | − | 2.67200i | − | 0.0900220i | −0.998986 | − | 0.0450110i | \(-0.985668\pi\) | ||
0.998986 | − | 0.0450110i | \(-0.0143323\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −39.5907 | + | 16.3990i | −1.33233 | + | 0.551870i | −0.931320 | − | 0.364202i | \(-0.881342\pi\) |
−0.401013 | + | 0.916072i | \(0.631342\pi\) | |||||||
\(884\) | −19.5263 | − | 55.9425i | −0.656740 | − | 1.88155i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −8.32311 | − | 3.72824i | −0.279620 | − | 0.125253i | ||||
\(887\) | −33.5579 | + | 33.5579i | −1.12676 | + | 1.12676i | −0.136063 | + | 0.990700i | \(0.543445\pi\) |
−0.990700 | + | 0.136063i | \(0.956555\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −10.1845 | − | 10.1845i | −0.341576 | − | 0.341576i | ||||
\(890\) | 7.08924 | + | 18.5935i | 0.237632 | + | 0.623257i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −14.7830 | − | 0.841738i | −0.494970 | − | 0.0281835i | ||||
\(893\) | −1.18025 | − | 2.84938i | −0.0394956 | − | 0.0953508i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.97584 | 0.333456 | ||||||||
\(896\) | −11.7326 | − | 17.6631i | −0.391960 | − | 0.590084i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 39.2755 | + | 1.11726i | 1.31064 | + | 0.0372836i | ||||
\(899\) | 2.89382 | + | 6.98629i | 0.0965142 | + | 0.233006i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −63.5538 | − | 26.3249i | −2.11729 | − | 0.877008i | ||||
\(902\) | −0.829224 | − | 2.17488i | −0.0276102 | − | 0.0724155i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.994493 | + | 11.6281i | −0.0330763 | + | 0.386744i | ||||
\(905\) | −3.31064 | + | 3.31064i | −0.110049 | + | 0.110049i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.58909 | + | 15.9075i | −0.218787 | + | 0.528199i | −0.994721 | − | 0.102615i | \(-0.967279\pi\) |
0.775934 | + | 0.630814i | \(0.217279\pi\) | |||||||
\(908\) | 8.84351 | + | 25.3366i | 0.293482 | + | 0.840823i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 15.2742 | + | 16.1686i | 0.506335 | + | 0.535986i | ||||
\(911\) | 16.6033i | 0.550091i | 0.961431 | + | 0.275045i | \(0.0886929\pi\) | ||||
−0.961431 | + | 0.275045i | \(0.911307\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 40.4573i | − | 1.33894i | ||||||
\(914\) | 9.62155 | − | 9.08929i | 0.318253 | − | 0.300647i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −20.7677 | − | 10.0211i | −0.686186 | − | 0.331108i | ||||
\(917\) | 12.0337 | − | 29.0518i | 0.397386 | − | 0.959376i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −29.2819 | + | 29.2819i | −0.965922 | + | 0.965922i | −0.999438 | − | 0.0335164i | \(-0.989329\pi\) |
0.0335164 | + | 0.999438i | \(0.489329\pi\) | |||||||
\(920\) | 26.7965 | − | 8.50634i | 0.883453 | − | 0.280446i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −36.0116 | + | 13.7303i | −1.18598 | + | 0.452183i | ||||
\(923\) | 70.8183 | + | 29.3339i | 2.33101 | + | 0.965537i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.53369 | + | 8.53108i | 0.116187 | + | 0.280500i | ||||
\(926\) | −1.34109 | + | 47.1439i | −0.0440711 | + | 1.54924i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.42689 | − | 5.57645i | −0.0468400 | − | 0.183056i | ||||
\(929\) | 48.4425 | 1.58935 | 0.794674 | − | 0.607036i | \(-0.207642\pi\) | ||||
0.794674 | + | 0.607036i | \(0.207642\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.50631 | + | 3.63655i | 0.0493673 | + | 0.119183i | ||||
\(932\) | 22.3770 | − | 19.9660i | 0.732984 | − | 0.654009i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −10.1479 | + | 3.86915i | −0.332051 | + | 0.126602i | ||||
\(935\) | 16.4240 | + | 16.4240i | 0.537124 | + | 0.537124i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.17378 | − | 6.17378i | 0.201689 | − | 0.201689i | −0.599035 | − | 0.800723i | \(-0.704449\pi\) |
0.800723 | + | 0.599035i | \(0.204449\pi\) | |||||||
\(938\) | 17.3083 | − | 38.6399i | 0.565136 | − | 1.26164i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.88878 | + | 8.05907i | −0.126838 | + | 0.262858i | ||||
\(941\) | 28.8812 | − | 11.9630i | 0.941500 | − | 0.389982i | 0.141470 | − | 0.989942i | \(-0.454817\pi\) |
0.800030 | + | 0.599960i | \(0.204817\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 4.07181i | − | 0.132596i | ||||||
\(944\) | −32.8639 | − | 18.2301i | −1.06963 | − | 0.593340i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.54702 | + | 2.69617i | 0.0828106 | + | 0.0876599i | ||||
\(947\) | −31.3266 | + | 12.9759i | −1.01798 | + | 0.421660i | −0.828359 | − | 0.560198i | \(-0.810725\pi\) |
−0.189618 | + | 0.981858i | \(0.560725\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −19.0292 | + | 45.9405i | −0.617713 | + | 1.49129i | ||||
\(950\) | 3.37793 | + | 1.51310i | 0.109594 | + | 0.0490916i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 23.4382 | − | 19.7450i | 0.759637 | − | 0.639938i | ||||
\(953\) | −28.8836 | − | 28.8836i | −0.935631 | − | 0.935631i | 0.0624188 | − | 0.998050i | \(-0.480119\pi\) |
−0.998050 | + | 0.0624188i | \(0.980119\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.42079 | − | 2.65958i | −0.207772 | − | 0.0860619i | ||||
\(956\) | −3.15188 | + | 55.3546i | −0.101939 | + | 1.79030i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.35437 | − | 0.0669745i | −0.0760663 | − | 0.00216385i | ||||
\(959\) | −42.7701 | −1.38112 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.2273 | 0.781525 | ||||||||
\(962\) | 28.8504 | + | 0.820702i | 0.930173 | + | 0.0264605i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.17579 | − | 38.2122i | 0.0700776 | − | 1.23073i | ||||
\(965\) | −12.1680 | − | 5.04015i | −0.391702 | − | 0.162248i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.5627 | + | 17.5627i | 0.564777 | + | 0.564777i | 0.930661 | − | 0.365884i | \(-0.119233\pi\) |
−0.365884 | + | 0.930661i | \(0.619233\pi\) | |||||||
\(968\) | 9.07431 | + | 10.7716i | 0.291659 | + | 0.346214i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 32.5747 | + | 14.5915i | 1.04591 | + | 0.468504i | ||||
\(971\) | 0.119416 | − | 0.288295i | 0.00383224 | − | 0.00925184i | −0.921952 | − | 0.387305i | \(-0.873406\pi\) |
0.925784 | + | 0.378053i | \(0.123406\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 13.0332 | − | 5.39852i | 0.417825 | − | 0.173069i | ||||
\(974\) | 21.1909 | + | 22.4319i | 0.679001 | + | 0.718763i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.26935 | + | 14.9065i | 0.136659 | + | 0.477144i | ||||
\(977\) | − | 46.5011i | − | 1.48770i | −0.668345 | − | 0.743851i | \(-0.732997\pi\) | ||
0.668345 | − | 0.743851i | \(-0.267003\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 19.4794 | − | 8.06862i | 0.622563 | − | 0.257874i | ||||
\(980\) | 4.96309 | − | 10.2855i | 0.158540 | − | 0.328558i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 11.5625 | − | 25.8127i | 0.368975 | − | 0.823718i | ||||
\(983\) | 12.1301 | − | 12.1301i | 0.386891 | − | 0.386891i | −0.486686 | − | 0.873577i | \(-0.661795\pi\) |
0.873577 | + | 0.486686i | \(0.161795\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 25.6555 | + | 25.6555i | 0.817452 | + | 0.817452i | ||||
\(986\) | 7.77331 | − | 2.96376i | 0.247553 | − | 0.0943854i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.63234 | − | 7.70225i | 0.274631 | − | 0.245041i | ||||
\(989\) | 2.48299 | + | 5.99447i | 0.0789545 | + | 0.190613i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.0269571 | −0.000856319 | −0.000428160 | − | 1.00000i | \(-0.500136\pi\) | ||||
−0.000428160 | 1.00000i | \(0.500136\pi\) | ||||||||
\(992\) | −41.6146 | − | 5.95764i | −1.32127 | − | 0.189155i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.12737 | + | 39.6306i | −0.0357579 | + | 1.25701i | ||||
\(995\) | 2.28983 | + | 5.52814i | 0.0725925 | + | 0.175254i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 8.81063 | + | 3.64948i | 0.279036 | + | 0.115580i | 0.517813 | − | 0.855494i | \(-0.326746\pi\) |
−0.238777 | + | 0.971074i | \(0.576746\pi\) | |||||||
\(998\) | −39.0100 | + | 14.8735i | −1.23484 | + | 0.470812i | ||||
\(999\) | 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 | 288.2.v.c.37.8 | yes | 32 | |
3.2 | odd | 2 | inner | 288.2.v.c.37.1 | ✓ | 32 | |
4.3 | odd | 2 | 1152.2.v.d.1009.6 | 32 | |||
12.11 | even | 2 | 1152.2.v.d.1009.3 | 32 | |||
32.13 | even | 8 | inner | 288.2.v.c.109.8 | yes | 32 | |
32.19 | odd | 8 | 1152.2.v.d.145.6 | 32 | |||
96.77 | odd | 8 | inner | 288.2.v.c.109.1 | yes | 32 | |
96.83 | even | 8 | 1152.2.v.d.145.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.v.c.37.1 | ✓ | 32 | 3.2 | odd | 2 | inner | |
288.2.v.c.37.8 | yes | 32 | 1.1 | even | 1 | trivial | |
288.2.v.c.109.1 | yes | 32 | 96.77 | odd | 8 | inner | |
288.2.v.c.109.8 | yes | 32 | 32.13 | even | 8 | inner | |
1152.2.v.d.145.3 | 32 | 96.83 | even | 8 | |||
1152.2.v.d.145.6 | 32 | 32.19 | odd | 8 | |||
1152.2.v.d.1009.3 | 32 | 12.11 | even | 2 | |||
1152.2.v.d.1009.6 | 32 | 4.3 | odd | 2 |