Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 557.7 | ||
Character | \(\chi\) | \(=\) | 666.557 |
Dual form | 666.2.bs.b.611.7 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{36}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0871557 | − | 0.996195i | 0.0616284 | − | 0.704416i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.984808 | − | 0.173648i | −0.492404 | − | 0.0868241i | ||||
\(5\) | 0.0741011 | + | 0.0345539i | 0.0331390 | + | 0.0154530i | 0.439117 | − | 0.898430i | \(-0.355291\pi\) |
−0.405978 | + | 0.913883i | \(0.633069\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.92570 | + | 0.700897i | −0.727846 | + | 0.264914i | −0.679253 | − | 0.733904i | \(-0.737696\pi\) |
−0.0485931 | + | 0.998819i | \(0.515474\pi\) | |||||||
\(8\) | −0.258819 | + | 0.965926i | −0.0915064 | + | 0.341506i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.0408808 | − | 0.0708076i | 0.0129276 | − | 0.0223913i | ||||
\(11\) | −0.0467419 | − | 0.0809593i | −0.0140932 | − | 0.0244102i | 0.858893 | − | 0.512155i | \(-0.171153\pi\) |
−0.872986 | + | 0.487745i | \(0.837819\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.00542 | − | 4.29219i | −0.833555 | − | 1.19044i | −0.979559 | − | 0.201156i | \(-0.935530\pi\) |
0.146004 | − | 0.989284i | \(-0.453359\pi\) | |||||||
\(14\) | 0.530394 | + | 1.97946i | 0.141754 | + | 0.529033i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | 2.94921 | − | 4.21190i | 0.715287 | − | 1.02154i | −0.282767 | − | 0.959189i | \(-0.591252\pi\) |
0.998054 | − | 0.0623477i | \(-0.0198588\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −7.61336 | + | 0.666082i | −1.74662 | + | 0.152810i | −0.915245 | − | 0.402897i | \(-0.868003\pi\) |
−0.831379 | + | 0.555707i | \(0.812448\pi\) | |||||||
\(20\) | −0.0669751 | − | 0.0468965i | −0.0149761 | − | 0.0104864i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0847251 | + | 0.0395080i | −0.0180634 | + | 0.00842312i | ||||
\(23\) | −6.72256 | + | 1.80130i | −1.40175 | + | 0.375598i | −0.878973 | − | 0.476871i | \(-0.841771\pi\) |
−0.522777 | + | 0.852469i | \(0.675104\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.20964 | − | 3.82510i | −0.641928 | − | 0.765020i | ||||
\(26\) | −4.53780 | + | 2.61990i | −0.889935 | + | 0.513805i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.01815 | − | 0.355855i | 0.381395 | − | 0.0672502i | ||||
\(29\) | 3.03735 | + | 0.813856i | 0.564022 | + | 0.151129i | 0.529554 | − | 0.848277i | \(-0.322359\pi\) |
0.0344685 | + | 0.999406i | \(0.489026\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.356247 | − | 0.356247i | −0.0639838 | − | 0.0639838i | 0.674391 | − | 0.738375i | \(-0.264406\pi\) |
−0.738375 | + | 0.674391i | \(0.764406\pi\) | |||||||
\(32\) | 0.422618 | − | 0.906308i | 0.0747091 | − | 0.160214i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.93883 | − | 3.30507i | −0.675504 | − | 0.566816i | ||||
\(35\) | −0.166915 | − | 0.0146032i | −0.0282138 | − | 0.00246839i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.08100 | − | 0.146577i | −0.999710 | − | 0.0240971i | ||||
\(38\) | 7.64244i | 1.23977i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.0525553 | + | 0.0626330i | −0.00830972 | + | 0.00990314i | ||||
\(41\) | −0.847815 | + | 4.80820i | −0.132406 | + | 0.750915i | 0.844224 | + | 0.535990i | \(0.180062\pi\) |
−0.976631 | + | 0.214924i | \(0.931050\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.17585 | − | 5.17585i | 0.789310 | − | 0.789310i | −0.192071 | − | 0.981381i | \(-0.561520\pi\) |
0.981381 | + | 0.192071i | \(0.0615205\pi\) | |||||||
\(44\) | 0.0319733 | + | 0.0878460i | 0.00482016 | + | 0.0132433i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.20854 | + | 6.85397i | 0.178190 | + | 1.01056i | ||||
\(47\) | 7.78930 | + | 4.49715i | 1.13619 | + | 0.655977i | 0.945483 | − | 0.325671i | \(-0.105590\pi\) |
0.190702 | + | 0.981648i | \(0.438923\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.14525 | + | 1.80008i | −0.306464 | + | 0.257154i | ||||
\(50\) | −4.09028 | + | 2.86405i | −0.578454 | + | 0.405038i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.21443 | + | 4.74887i | 0.307087 | + | 0.658550i | ||||
\(53\) | 2.03092 | − | 5.57992i | 0.278969 | − | 0.766461i | −0.718511 | − | 0.695515i | \(-0.755176\pi\) |
0.997480 | − | 0.0709454i | \(-0.0226016\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.000666164 | − | 0.00761429i | −8.98255e−5 | − | 0.00102671i | ||||
\(56\) | −0.178607 | − | 2.04149i | −0.0238674 | − | 0.272805i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.07548 | − | 2.95486i | 0.141218 | − | 0.387992i | ||||
\(59\) | −3.74133 | − | 8.02332i | −0.487080 | − | 1.04455i | −0.984232 | − | 0.176883i | \(-0.943399\pi\) |
0.497152 | − | 0.867664i | \(-0.334379\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.71665 | + | 3.30264i | −0.603906 | + | 0.422859i | −0.835139 | − | 0.550039i | \(-0.814613\pi\) |
0.231233 | + | 0.972898i | \(0.425724\pi\) | |||||||
\(62\) | −0.385940 | + | 0.323842i | −0.0490145 | + | 0.0411280i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | −0.0743933 | − | 0.421905i | −0.00922735 | − | 0.0523309i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.89197 | + | 5.19815i | 0.231141 | + | 0.635055i | 0.999990 | − | 0.00437504i | \(-0.00139262\pi\) |
−0.768849 | + | 0.639430i | \(0.779170\pi\) | |||||||
\(68\) | −3.63579 | + | 3.63579i | −0.440904 | + | 0.440904i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0290952 | + | 0.165007i | −0.00347755 | + | 0.0197221i | ||||
\(71\) | −6.74204 | + | 8.03485i | −0.800133 | + | 0.953561i | −0.999653 | − | 0.0263324i | \(-0.991617\pi\) |
0.199520 | + | 0.979894i | \(0.436062\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 4.72714i | − | 0.553270i | −0.960975 | − | 0.276635i | \(-0.910781\pi\) | ||
0.960975 | − | 0.276635i | \(-0.0892192\pi\) | |||||||
\(74\) | −0.676013 | + | 6.04508i | −0.0785849 | + | 0.702726i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.61336 | + | 0.666082i | 0.873312 | + | 0.0764049i | ||||
\(77\) | 0.146755 | + | 0.123142i | 0.0167243 | + | 0.0140333i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.96506 | − | 12.7921i | 0.671122 | − | 1.43922i | −0.215394 | − | 0.976527i | \(-0.569104\pi\) |
0.886516 | − | 0.462698i | \(-0.153118\pi\) | |||||||
\(80\) | 0.0578141 | + | 0.0578141i | 0.00646382 | + | 0.00646382i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.71601 | + | 1.26365i | 0.520796 | + | 0.139547i | ||||
\(83\) | 11.2270 | − | 1.97962i | 1.23232 | − | 0.217291i | 0.480699 | − | 0.876886i | \(-0.340383\pi\) |
0.751622 | + | 0.659594i | \(0.229272\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.364077 | − | 0.210200i | 0.0394897 | − | 0.0227994i | ||||
\(86\) | −4.70505 | − | 5.60726i | −0.507359 | − | 0.604646i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.0902984 | − | 0.0241954i | 0.00962584 | − | 0.00257924i | ||||
\(89\) | −5.09003 | + | 2.37352i | −0.539542 | + | 0.251593i | −0.673233 | − | 0.739430i | \(-0.735095\pi\) |
0.133691 | + | 0.991023i | \(0.457317\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.79593 | + | 6.15898i | 0.922064 | + | 0.645636i | ||||
\(92\) | 6.93322 | − | 0.606578i | 0.722838 | − | 0.0632402i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.15892 | − | 7.36770i | 0.532102 | − | 0.759921i | ||||
\(95\) | −0.587174 | − | 0.213714i | −0.0602428 | − | 0.0219266i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.309796 | + | 1.15618i | 0.0314551 | + | 0.117392i | 0.979868 | − | 0.199645i | \(-0.0639788\pi\) |
−0.948413 | + | 0.317037i | \(0.897312\pi\) | |||||||
\(98\) | 1.60626 | + | 2.29398i | 0.162257 | + | 0.231726i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.49666 | + | 4.32434i | 0.249666 | + | 0.432434i | ||||
\(101\) | 4.65686 | − | 8.06592i | 0.463375 | − | 0.802589i | −0.535752 | − | 0.844376i | \(-0.679972\pi\) |
0.999127 | + | 0.0417866i | \(0.0133050\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.00217 | + | 18.6684i | −0.492879 | + | 1.83945i | 0.0487214 | + | 0.998812i | \(0.484485\pi\) |
−0.541600 | + | 0.840636i | \(0.682181\pi\) | |||||||
\(104\) | 4.92380 | − | 1.79212i | 0.482818 | − | 0.175731i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.38168 | − | 2.50952i | −0.522715 | − | 0.243746i | ||||
\(107\) | −6.82200 | − | 1.20290i | −0.659508 | − | 0.116289i | −0.166130 | − | 0.986104i | \(-0.553127\pi\) |
−0.493378 | + | 0.869815i | \(0.664238\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.415060 | + | 4.74416i | −0.0397556 | + | 0.454408i | 0.950061 | + | 0.312063i | \(0.101020\pi\) |
−0.989817 | + | 0.142346i | \(0.954536\pi\) | |||||||
\(110\) | −0.00764338 | −0.000728767 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.04929 | −0.193639 | ||||||||
\(113\) | 1.75594 | − | 20.0705i | 0.165185 | − | 1.88808i | −0.235519 | − | 0.971870i | \(-0.575679\pi\) |
0.400704 | − | 0.916207i | \(-0.368765\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.560391 | − | 0.0988121i | −0.0522568 | − | 0.00921427i | ||||
\(116\) | −2.84988 | − | 1.32892i | −0.264605 | − | 0.123387i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.31886 | + | 3.02782i | −0.765813 | + | 0.278733i | ||||
\(119\) | −2.72717 | + | 10.1779i | −0.249999 | + | 0.933011i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.49563 | − | 9.51871i | 0.499603 | − | 0.865337i | ||||
\(122\) | 2.87899 | + | 4.98655i | 0.260651 | + | 0.451461i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.288973 | + | 0.412696i | 0.0259505 | + | 0.0370612i | ||||
\(125\) | −0.211473 | − | 0.789228i | −0.0189147 | − | 0.0705907i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.9540 | + | 4.35091i | 1.06075 | + | 0.386081i | 0.812710 | − | 0.582669i | \(-0.197991\pi\) |
0.248040 | + | 0.968750i | \(0.420214\pi\) | |||||||
\(128\) | −0.573576 | + | 0.819152i | −0.0506975 | + | 0.0724035i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.426784 | + | 0.0373387i | −0.0374314 | + | 0.00327482i | ||||
\(131\) | 1.32503 | + | 0.927796i | 0.115768 | + | 0.0810619i | 0.630027 | − | 0.776573i | \(-0.283044\pi\) |
−0.514258 | + | 0.857635i | \(0.671933\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 14.1942 | − | 6.61885i | 1.23079 | − | 0.573927i | ||||
\(134\) | 5.34326 | − | 1.43172i | 0.461588 | − | 0.123682i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.30507 | + | 3.93883i | 0.283408 | + | 0.337752i | ||||
\(137\) | 13.7839 | − | 7.95811i | 1.17763 | − | 0.679908i | 0.222168 | − | 0.975008i | \(-0.428687\pi\) |
0.955466 | + | 0.295101i | \(0.0953532\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.21477 | + | 0.919504i | −0.442311 | + | 0.0779913i | −0.390368 | − | 0.920659i | \(-0.627652\pi\) |
−0.0519424 | + | 0.998650i | \(0.516541\pi\) | |||||||
\(140\) | 0.161844 | + | 0.0433658i | 0.0136783 | + | 0.00366508i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 7.41667 | + | 7.41667i | 0.622393 | + | 0.622393i | ||||
\(143\) | −0.207014 | + | 0.443942i | −0.0173114 | + | 0.0371243i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.196949 | + | 0.165260i | 0.0163557 | + | 0.0137241i | ||||
\(146\) | −4.70915 | − | 0.411997i | −0.389732 | − | 0.0340971i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.96316 | + | 1.20030i | 0.490169 | + | 0.0986644i | ||||
\(149\) | − | 4.75836i | − | 0.389820i | −0.980821 | − | 0.194910i | \(-0.937559\pi\) | ||
0.980821 | − | 0.194910i | \(-0.0624414\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.62654 | − | 3.13019i | 0.213745 | − | 0.254731i | −0.648510 | − | 0.761206i | \(-0.724607\pi\) |
0.862254 | + | 0.506475i | \(0.169052\pi\) | |||||||
\(152\) | 1.32710 | − | 7.52633i | 0.107642 | − | 0.610466i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.135464 | − | 0.135464i | 0.0109160 | − | 0.0109160i | ||||
\(155\) | −0.0140886 | − | 0.0387080i | −0.00113162 | − | 0.00310910i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.745032 | − | 4.22529i | −0.0594600 | − | 0.337215i | 0.940537 | − | 0.339692i | \(-0.110323\pi\) |
−0.999997 | + | 0.00247695i | \(0.999212\pi\) | |||||||
\(158\) | −12.2235 | − | 7.05727i | −0.972453 | − | 0.561446i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.0626330 | − | 0.0525553i | 0.00495157 | − | 0.00415486i | ||||
\(161\) | 11.6831 | − | 8.18059i | 0.920757 | − | 0.644721i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.73199 | − | 3.71427i | −0.135660 | − | 0.290924i | 0.826728 | − | 0.562601i | \(-0.190199\pi\) |
−0.962388 | + | 0.271677i | \(0.912422\pi\) | |||||||
\(164\) | 1.66987 | − | 4.58793i | 0.130395 | − | 0.358257i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.993590 | − | 11.3568i | −0.0771176 | − | 0.881458i | ||||
\(167\) | 0.228078 | + | 2.60695i | 0.0176492 | + | 0.201732i | 0.999900 | + | 0.0141579i | \(0.00450676\pi\) |
−0.982251 | + | 0.187574i | \(0.939938\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.94407 | + | 13.5837i | −0.380313 | + | 1.04490i | ||||
\(170\) | −0.177669 | − | 0.381012i | −0.0136266 | − | 0.0292223i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.99599 | + | 4.19844i | −0.457190 | + | 0.320128i | ||||
\(173\) | 0.932633 | − | 0.782572i | 0.0709068 | − | 0.0594978i | −0.606645 | − | 0.794973i | \(-0.707485\pi\) |
0.677552 | + | 0.735475i | \(0.263041\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 8.86181 | + | 5.11637i | 0.669890 | + | 0.386761i | ||||
\(176\) | −0.0162333 | − | 0.0920635i | −0.00122363 | − | 0.00693955i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.92086 | + | 5.27753i | 0.143975 | + | 0.395567i | ||||
\(179\) | 5.10868 | − | 5.10868i | 0.381840 | − | 0.381840i | −0.489924 | − | 0.871765i | \(-0.662976\pi\) |
0.871765 | + | 0.489924i | \(0.162976\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.95114 | + | 11.0655i | −0.145027 | + | 0.822490i | 0.822318 | + | 0.569028i | \(0.192680\pi\) |
−0.967345 | + | 0.253462i | \(0.918431\pi\) | |||||||
\(182\) | 6.90215 | − | 8.22567i | 0.511622 | − | 0.609727i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 6.95971i | − | 0.513076i | ||||||
\(185\) | −0.445544 | − | 0.220984i | −0.0327570 | − | 0.0162470i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.478844 | − | 0.0418934i | −0.0350166 | − | 0.00306355i | ||||
\(188\) | −6.89004 | − | 5.78143i | −0.502508 | − | 0.421654i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.264076 | + | 0.566313i | −0.0191581 | + | 0.0410847i | ||||
\(191\) | −7.95827 | − | 7.95827i | −0.575840 | − | 0.575840i | 0.357914 | − | 0.933754i | \(-0.383488\pi\) |
−0.933754 | + | 0.357914i | \(0.883488\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −18.8822 | − | 5.05946i | −1.35917 | − | 0.364188i | −0.495658 | − | 0.868518i | \(-0.665073\pi\) |
−0.863511 | + | 0.504330i | \(0.831740\pi\) | |||||||
\(194\) | 1.17878 | − | 0.207850i | 0.0846313 | − | 0.0149228i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.42524 | − | 1.40021i | 0.173231 | − | 0.100015i | ||||
\(197\) | 5.28637 | + | 6.30005i | 0.376638 | + | 0.448860i | 0.920750 | − | 0.390153i | \(-0.127578\pi\) |
−0.544112 | + | 0.839013i | \(0.683133\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.27114 | − | 1.68035i | 0.444549 | − | 0.119117i | −0.0295987 | − | 0.999562i | \(-0.509423\pi\) |
0.474148 | + | 0.880445i | \(0.342756\pi\) | |||||||
\(200\) | 4.52548 | − | 2.11027i | 0.320000 | − | 0.149218i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −7.62936 | − | 5.34213i | −0.536800 | − | 0.375871i | ||||
\(203\) | −6.41945 | + | 0.561630i | −0.450557 | + | 0.0394187i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.228966 | + | 0.326998i | −0.0159917 | + | 0.0228385i | ||||
\(206\) | 18.1614 | + | 6.61019i | 1.26536 | + | 0.460554i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.35616 | − | 5.06126i | −0.0940327 | − | 0.350935i | ||||
\(209\) | 0.409788 | + | 0.585238i | 0.0283456 | + | 0.0404818i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.66962 | − | 11.5521i | −0.459156 | − | 0.795281i | 0.539761 | − | 0.841818i | \(-0.318515\pi\) |
−0.998917 | + | 0.0465376i | \(0.985181\pi\) | |||||||
\(212\) | −2.96901 | + | 5.14248i | −0.203913 | + | 0.353187i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.79290 | + | 6.69120i | −0.122560 | + | 0.457401i | ||||
\(215\) | 0.562382 | − | 0.204690i | 0.0383541 | − | 0.0139598i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.935717 | + | 0.436332i | 0.0635206 | + | 0.0296201i | ||||
\(218\) | 4.68994 | + | 0.826962i | 0.317642 | + | 0.0560089i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.000666164 | 0.00761429i | −4.49128e−5 | 0.000513355i | ||||||
\(221\) | −26.9419 | −1.81231 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.61963 | −0.577213 | −0.288606 | − | 0.957448i | \(-0.593192\pi\) | ||||
−0.288606 | + | 0.957448i | \(0.593192\pi\) | |||||||
\(224\) | −0.178607 | + | 2.04149i | −0.0119337 | + | 0.136403i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −19.8411 | − | 3.49852i | −1.31981 | − | 0.232718i | ||||
\(227\) | 1.54260 | + | 0.719325i | 0.102386 | + | 0.0477433i | 0.473136 | − | 0.880989i | \(-0.343122\pi\) |
−0.370751 | + | 0.928732i | \(0.620900\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.2839 | − | 7.38274i | 1.34040 | − | 0.487865i | 0.430461 | − | 0.902609i | \(-0.358351\pi\) |
0.909938 | + | 0.414744i | \(0.136129\pi\) | |||||||
\(230\) | −0.147277 | + | 0.549647i | −0.00971118 | + | 0.0362426i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.57225 | + | 2.72322i | −0.103223 | + | 0.178788i | ||||
\(233\) | 7.87150 | + | 13.6338i | 0.515679 | + | 0.893182i | 0.999834 | + | 0.0182000i | \(0.00579357\pi\) |
−0.484155 | + | 0.874982i | \(0.660873\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.421801 | + | 0.602395i | 0.0275153 | + | 0.0392959i | ||||
\(236\) | 2.29126 | + | 8.55110i | 0.149148 | + | 0.556629i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.90153 | + | 3.60386i | 0.641821 | + | 0.233604i | ||||
\(239\) | −6.16633 | + | 8.80642i | −0.398866 | + | 0.569640i | −0.967475 | − | 0.252968i | \(-0.918593\pi\) |
0.568608 | + | 0.822609i | \(0.307482\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.12164 | − | 0.623063i | 0.458745 | − | 0.0401350i | 0.144558 | − | 0.989496i | \(-0.453824\pi\) |
0.314187 | + | 0.949361i | \(0.398268\pi\) | |||||||
\(242\) | −9.00351 | − | 6.30433i | −0.578768 | − | 0.405258i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.21849 | − | 2.43342i | 0.334080 | − | 0.155784i | ||||
\(245\) | −0.221165 | + | 0.0592611i | −0.0141297 | + | 0.00378605i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 25.7403 | + | 30.6761i | 1.63782 | + | 1.95188i | ||||
\(248\) | 0.436312 | − | 0.251905i | 0.0277058 | − | 0.0159960i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.804656 | + | 0.141882i | −0.0508909 | + | 0.00897344i | ||||
\(251\) | −11.9186 | − | 3.19357i | −0.752292 | − | 0.201576i | −0.137758 | − | 0.990466i | \(-0.543990\pi\) |
−0.614535 | + | 0.788890i | \(0.710656\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.460058 | + | 0.460058i | 0.0289236 | + | 0.0289236i | ||||
\(254\) | 5.37622 | − | 11.5293i | 0.337334 | − | 0.723415i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 21.8099 | + | 1.90812i | 1.36046 | + | 0.119025i | 0.743906 | − | 0.668285i | \(-0.232971\pi\) |
0.616558 | + | 0.787310i | \(0.288527\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.8129 | − | 3.97989i | 0.734018 | − | 0.247298i | ||||
\(260\) | 0.428414i | 0.0265691i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.03975 | − | 1.23913i | 0.0642360 | − | 0.0765534i | ||||
\(263\) | −1.66000 | + | 9.41434i | −0.102360 | + | 0.580513i | 0.889882 | + | 0.456191i | \(0.150787\pi\) |
−0.992242 | + | 0.124322i | \(0.960324\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.343302 | − | 0.343302i | 0.0210889 | − | 0.0210889i | ||||
\(266\) | −5.35656 | − | 14.7170i | −0.328432 | − | 0.902359i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.960579 | − | 5.44771i | −0.0586767 | − | 0.332772i | ||||
\(269\) | −24.6295 | − | 14.2199i | −1.50169 | − | 0.867001i | −0.999998 | − | 0.00195476i | \(-0.999378\pi\) |
−0.501692 | − | 0.865046i | \(-0.667289\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.258733 | − | 0.217103i | 0.0157169 | − | 0.0131881i | −0.634895 | − | 0.772598i | \(-0.718957\pi\) |
0.650612 | + | 0.759410i | \(0.274512\pi\) | |||||||
\(272\) | 4.21190 | − | 2.94921i | 0.255384 | − | 0.178822i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.72649 | − | 14.4250i | −0.406362 | − | 0.871446i | ||||
\(275\) | −0.159653 | + | 0.438643i | −0.00962743 | + | 0.0264512i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.787339 | − | 8.99932i | −0.0473066 | − | 0.540717i | −0.982460 | − | 0.186474i | \(-0.940294\pi\) |
0.935153 | − | 0.354243i | \(-0.115261\pi\) | |||||||
\(278\) | 0.461508 | + | 5.27506i | 0.0276794 | + | 0.316377i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0573064 | − | 0.157448i | 0.00342471 | − | 0.00940932i | ||||
\(281\) | 11.8672 | + | 25.4492i | 0.707936 | + | 1.51817i | 0.849125 | + | 0.528191i | \(0.177130\pi\) |
−0.141189 | + | 0.989983i | \(0.545093\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.1429 | + | 7.80236i | −0.662378 | + | 0.463802i | −0.855796 | − | 0.517314i | \(-0.826932\pi\) |
0.193417 | + | 0.981117i | \(0.438043\pi\) | |||||||
\(284\) | 8.03485 | − | 6.74204i | 0.476781 | − | 0.400066i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.424211 | + | 0.244918i | 0.0250841 | + | 0.0144823i | ||||
\(287\) | −1.73742 | − | 9.85338i | −0.102556 | − | 0.581626i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.22796 | − | 8.86875i | −0.189880 | − | 0.521691i | ||||
\(290\) | 0.181796 | − | 0.181796i | 0.0106755 | − | 0.0106755i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.820859 | + | 4.65532i | −0.0480371 | + | 0.272432i | ||||
\(293\) | −16.0120 | + | 19.0823i | −0.935430 | + | 1.11480i | 0.0577640 | + | 0.998330i | \(0.481603\pi\) |
−0.993194 | + | 0.116472i | \(0.962842\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 0.723814i | − | 0.0421421i | ||||||
\(296\) | 1.71546 | − | 5.83585i | 0.0997091 | − | 0.339202i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −4.74025 | − | 0.414718i | −0.274595 | − | 0.0240240i | ||||
\(299\) | 27.9357 | + | 23.4408i | 1.61556 | + | 1.35562i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.33939 | + | 13.5949i | −0.365396 | + | 0.783595i | ||||
\(302\) | −2.88936 | − | 2.88936i | −0.166264 | − | 0.166264i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.38203 | − | 1.97801i | −0.423388 | − | 0.113447i | ||||
\(305\) | −0.463628 | + | 0.0817502i | −0.0265473 | + | 0.00468100i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.88777 | + | 3.39930i | −0.336033 | + | 0.194008i | −0.658516 | − | 0.752567i | \(-0.728816\pi\) |
0.322484 | + | 0.946575i | \(0.395482\pi\) | |||||||
\(308\) | −0.123142 | − | 0.146755i | −0.00701667 | − | 0.00836214i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.0397886 | + | 0.0106613i | −0.00225984 | + | 0.000605523i | ||||
\(311\) | −31.8564 | + | 14.8549i | −1.80641 | + | 0.842344i | −0.868272 | + | 0.496088i | \(0.834769\pi\) |
−0.938140 | + | 0.346256i | \(0.887453\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −24.1676 | − | 16.9223i | −1.36603 | − | 0.956506i | −0.999661 | − | 0.0260366i | \(-0.991711\pi\) |
−0.366371 | − | 0.930469i | \(-0.619400\pi\) | |||||||
\(314\) | −4.27414 | + | 0.373939i | −0.241204 | + | 0.0211026i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.09576 | + | 11.5619i | −0.455422 | + | 0.650410i | ||||
\(317\) | 32.0131 | + | 11.6518i | 1.79804 | + | 0.654432i | 0.998555 | + | 0.0537429i | \(0.0171151\pi\) |
0.799483 | + | 0.600689i | \(0.205107\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.0760823 | − | 0.283943i | −0.00425979 | − | 0.0158978i | ||||
\(320\) | −0.0468965 | − | 0.0669751i | −0.00262159 | − | 0.00374402i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −7.13121 | − | 12.3516i | −0.397407 | − | 0.688329i | ||||
\(323\) | −19.6479 | + | 34.0311i | −1.09324 | + | 1.89354i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.77173 | + | 25.2724i | −0.375628 | + | 1.40186i | ||||
\(326\) | −3.85109 | + | 1.40168i | −0.213292 | + | 0.0776320i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.42493 | − | 2.06338i | −0.244326 | − | 0.113931i | ||||
\(329\) | −18.1519 | − | 3.20067i | −1.00075 | − | 0.176458i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.437724 | − | 5.00321i | 0.0240595 | − | 0.275001i | −0.974630 | − | 0.223822i | \(-0.928147\pi\) |
0.998689 | − | 0.0511790i | \(-0.0162979\pi\) | |||||||
\(332\) | −11.4002 | −0.625666 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.61690 | 0.143191 | ||||||||
\(335\) | −0.0394192 | + | 0.450564i | −0.00215370 | + | 0.0246169i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −22.3573 | − | 3.94219i | −1.21788 | − | 0.214745i | −0.472466 | − | 0.881349i | \(-0.656636\pi\) |
−0.745412 | + | 0.666604i | \(0.767747\pi\) | |||||||
\(338\) | 13.1011 | + | 6.10915i | 0.712607 | + | 0.332294i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.395047 | + | 0.143785i | −0.0214244 | + | 0.00779785i | ||||
\(341\) | −0.0121899 | + | 0.0454932i | −0.000660118 | + | 0.00246359i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0419 | − | 17.3931i | 0.542214 | − | 0.939142i | ||||
\(344\) | 3.65988 | + | 6.33910i | 0.197327 | + | 0.341781i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.698310 | − | 0.997290i | −0.0375414 | − | 0.0536146i | ||||
\(347\) | 3.97719 | + | 14.8431i | 0.213507 | + | 0.796817i | 0.986687 | + | 0.162631i | \(0.0519981\pi\) |
−0.773180 | + | 0.634186i | \(0.781335\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.38284 | − | 2.32316i | −0.341666 | − | 0.124356i | 0.165488 | − | 0.986212i | \(-0.447080\pi\) |
−0.507154 | + | 0.861856i | \(0.669302\pi\) | |||||||
\(350\) | 5.86925 | − | 8.38216i | 0.313725 | − | 0.448045i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.0931280 | + | 0.00814765i | −0.00496374 | + | 0.000434271i | ||||
\(353\) | −13.7006 | − | 9.59325i | −0.729209 | − | 0.510597i | 0.149023 | − | 0.988834i | \(-0.452387\pi\) |
−0.878231 | + | 0.478236i | \(0.841276\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.777228 | + | 0.362427i | −0.0412510 | + | 0.0192356i | ||||
\(356\) | 5.42486 | − | 1.45359i | 0.287517 | − | 0.0770399i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.64399 | − | 5.53449i | −0.245442 | − | 0.292507i | ||||
\(359\) | −21.3335 | + | 12.3169i | −1.12594 | + | 0.650062i | −0.942911 | − | 0.333045i | \(-0.891924\pi\) |
−0.183030 | + | 0.983107i | \(0.558591\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 38.8082 | − | 6.84293i | 2.04254 | − | 0.360154i | ||||
\(362\) | 10.8533 | + | 2.90813i | 0.570437 | + | 0.152848i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.59280 | − | 7.59280i | −0.397971 | − | 0.397971i | ||||
\(365\) | 0.163341 | − | 0.350286i | 0.00854966 | − | 0.0183348i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.82666 | + | 5.72824i | 0.356349 | + | 0.299012i | 0.803333 | − | 0.595530i | \(-0.203058\pi\) |
−0.446985 | + | 0.894542i | \(0.647502\pi\) | |||||||
\(368\) | −6.93322 | − | 0.606578i | −0.361419 | − | 0.0316201i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.258974 | + | 0.424588i | −0.0134634 | + | 0.0220733i | ||||
\(371\) | 12.1687i | 0.631768i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.9693 | − | 21.4149i | 0.930413 | − | 1.10882i | −0.0634257 | − | 0.997987i | \(-0.520203\pi\) |
0.993839 | − | 0.110836i | \(-0.0353530\pi\) | |||||||
\(374\) | −0.0834680 | + | 0.473371i | −0.00431603 | + | 0.0244774i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.35993 | + | 6.35993i | −0.327989 | + | 0.327989i | ||||
\(377\) | −5.63531 | − | 15.4829i | −0.290233 | − | 0.797409i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.67165 | − | 9.48042i | −0.0858671 | − | 0.486977i | −0.997166 | − | 0.0752313i | \(-0.976030\pi\) |
0.911299 | − | 0.411745i | \(-0.135081\pi\) | |||||||
\(380\) | 0.541142 | + | 0.312429i | 0.0277600 | + | 0.0160273i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −8.62159 | + | 7.23437i | −0.441119 | + | 0.370143i | ||||
\(383\) | −7.69620 | + | 5.38893i | −0.393257 | + | 0.275362i | −0.753436 | − | 0.657522i | \(-0.771605\pi\) |
0.360178 | + | 0.932884i | \(0.382716\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.00661967 | + | 0.0141959i | 0.000337369 | + | 0.000723491i | ||||
\(386\) | −6.68590 | + | 18.3694i | −0.340303 | + | 0.934976i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.104322 | − | 1.19241i | −0.00529615 | − | 0.0605353i | ||||
\(389\) | −0.198208 | − | 2.26553i | −0.0100496 | − | 0.114867i | 0.989513 | − | 0.144444i | \(-0.0461395\pi\) |
−0.999562 | + | 0.0295773i | \(0.990584\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −12.2393 | + | 33.6272i | −0.618968 | + | 1.70060i | ||||
\(392\) | −1.18351 | − | 2.53805i | −0.0597763 | − | 0.128191i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.73682 | − | 4.71717i | 0.339396 | − | 0.237648i | ||||
\(395\) | 0.884035 | − | 0.741793i | 0.0444806 | − | 0.0373237i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −33.3296 | − | 19.2428i | −1.67276 | − | 0.965770i | −0.966081 | − | 0.258238i | \(-0.916858\pi\) |
−0.706681 | − | 0.707532i | \(-0.749809\pi\) | |||||||
\(398\) | −1.12739 | − | 6.39372i | −0.0565108 | − | 0.320488i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.70781 | − | 4.69218i | −0.0853907 | − | 0.234609i | ||||
\(401\) | 19.6027 | − | 19.6027i | 0.978914 | − | 0.978914i | −0.0208684 | − | 0.999782i | \(-0.506643\pi\) |
0.999782 | + | 0.0208684i | \(0.00664310\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.458407 | + | 2.59975i | −0.0228349 | + | 0.129503i | ||||
\(404\) | −5.98675 | + | 7.13473i | −0.297852 | + | 0.354966i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.44398i | 0.319809i | ||||||||
\(407\) | 0.272370 | + | 0.499165i | 0.0135009 | + | 0.0247427i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −20.3493 | − | 1.78033i | −1.00621 | − | 0.0880319i | −0.427880 | − | 0.903835i | \(-0.640739\pi\) |
−0.578329 | + | 0.815804i | \(0.696295\pi\) | |||||||
\(410\) | 0.305797 | + | 0.256595i | 0.0151023 | + | 0.0126723i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 8.16791 | − | 17.5161i | 0.402404 | − | 0.862958i | ||||
\(413\) | 12.8282 | + | 12.8282i | 0.631235 | + | 0.631235i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.900335 | + | 0.241244i | 0.0441957 | + | 0.0118422i | ||||
\(416\) | −5.16019 | + | 0.909881i | −0.252999 | + | 0.0446106i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.618727 | − | 0.357222i | 0.0302629 | − | 0.0174723i | ||||
\(419\) | −15.8623 | − | 18.9040i | −0.774925 | − | 0.923520i | 0.223767 | − | 0.974643i | \(-0.428164\pi\) |
−0.998692 | + | 0.0511230i | \(0.983720\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −34.0718 | + | 9.12952i | −1.66056 | + | 0.444945i | −0.962541 | − | 0.271135i | \(-0.912601\pi\) |
−0.698018 | + | 0.716080i | \(0.745934\pi\) | |||||||
\(422\) | −12.0895 | + | 5.63741i | −0.588505 | + | 0.274425i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.86414 | + | 3.40591i | 0.236224 | + | 0.165406i | ||||
\(425\) | −25.5768 | + | 2.23768i | −1.24066 | + | 0.108544i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.76805 | − | 9.66577i | 0.327529 | − | 0.467760i | ||||
\(428\) | 6.50948 | + | 2.36926i | 0.314648 | + | 0.114522i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.154897 | − | 0.578082i | −0.00746978 | − | 0.0278776i | ||||
\(431\) | 13.0562 | + | 18.6462i | 0.628897 | + | 0.898158i | 0.999531 | − | 0.0306209i | \(-0.00974847\pi\) |
−0.370634 | + | 0.928779i | \(0.620860\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.3867 | − | 23.1864i | −0.643322 | − | 1.11427i | −0.984686 | − | 0.174336i | \(-0.944222\pi\) |
0.341364 | − | 0.939931i | \(-0.389111\pi\) | |||||||
\(434\) | 0.516225 | − | 0.894127i | 0.0247796 | − | 0.0429195i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.23257 | − | 4.60001i | 0.0590294 | − | 0.220301i | ||||
\(437\) | 49.9814 | − | 18.1918i | 2.39094 | − | 0.870230i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.6646 | − | 6.37192i | −0.652177 | − | 0.304115i | 0.0682269 | − | 0.997670i | \(-0.478266\pi\) |
−0.720404 | + | 0.693555i | \(0.756044\pi\) | |||||||
\(440\) | 0.00752726 | + | 0.00132726i | 0.000358848 | + | 6.32746e-5i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.34814 | + | 26.8394i | −0.111690 | + | 1.27662i | ||||
\(443\) | 16.9338 | 0.804548 | 0.402274 | − | 0.915519i | \(-0.368220\pi\) | ||||
0.402274 | + | 0.915519i | \(0.368220\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.459191 | −0.0217678 | ||||||||
\(446\) | −0.751250 | + | 8.58683i | −0.0355727 | + | 0.406598i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.01815 | + | 0.355855i | 0.0953488 | + | 0.0168126i | ||||
\(449\) | −21.3254 | − | 9.94421i | −1.00641 | − | 0.469296i | −0.151713 | − | 0.988425i | \(-0.548479\pi\) |
−0.854696 | + | 0.519129i | \(0.826257\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.428897 | − | 0.156106i | 0.0201960 | − | 0.00735073i | ||||
\(452\) | −5.21448 | + | 19.4607i | −0.245268 | + | 0.915354i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.851034 | − | 1.47403i | 0.0399410 | − | 0.0691798i | ||||
\(455\) | 0.438971 | + | 0.760321i | 0.0205793 | + | 0.0356444i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 20.3937 | + | 29.1252i | 0.953978 | + | 1.36242i | 0.931920 | + | 0.362665i | \(0.118133\pi\) |
0.0220584 | + | 0.999757i | \(0.492978\pi\) | |||||||
\(458\) | −5.58679 | − | 20.8502i | −0.261053 | − | 0.974265i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.534719 | + | 0.194622i | 0.0249314 | + | 0.00907429i | ||||
\(461\) | 10.6754 | − | 15.2460i | 0.497202 | − | 0.710078i | −0.489612 | − | 0.871941i | \(-0.662861\pi\) |
0.986813 | + | 0.161863i | \(0.0517503\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.07890 | + | 0.794301i | −0.421932 | + | 0.0369143i | −0.296145 | − | 0.955143i | \(-0.595701\pi\) |
−0.125787 | + | 0.992057i | \(0.540146\pi\) | |||||||
\(464\) | 2.57582 | + | 1.80361i | 0.119580 | + | 0.0837305i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 14.2680 | − | 6.65328i | 0.660952 | − | 0.308207i | ||||
\(467\) | 6.23587 | − | 1.67090i | 0.288562 | − | 0.0773199i | −0.111635 | − | 0.993749i | \(-0.535609\pi\) |
0.400196 | + | 0.916429i | \(0.368942\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.28674 | − | 8.68399i | −0.336470 | − | 0.400990i | ||||
\(470\) | 0.636865 | − | 0.367694i | 0.0293764 | − | 0.0169605i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.71826 | − | 1.53726i | 0.401290 | − | 0.0707583i | ||||
\(473\) | −0.660962 | − | 0.177104i | −0.0303911 | − | 0.00814327i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 26.9840 | + | 26.9840i | 1.23811 | + | 1.23811i | ||||
\(476\) | 4.45312 | − | 9.54975i | 0.204109 | − | 0.437712i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 8.23548 | + | 6.91039i | 0.376682 | + | 0.316074i | ||||
\(479\) | −21.2061 | − | 1.85530i | −0.968933 | − | 0.0847707i | −0.408311 | − | 0.912843i | \(-0.633882\pi\) |
−0.560622 | + | 0.828072i | \(0.689438\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.6468 | + | 26.5413i | 0.804627 | + | 1.21018i | ||||
\(482\) | − | 7.14884i | − | 0.325621i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.06505 | + | 8.41979i | −0.321138 | + | 0.382718i | ||||
\(485\) | −0.0169941 | + | 0.0963786i | −0.000771664 | + | 0.00437633i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.59314 | − | 9.59314i | 0.434707 | − | 0.434707i | −0.455519 | − | 0.890226i | \(-0.650546\pi\) |
0.890226 | + | 0.455519i | \(0.150546\pi\) | |||||||
\(488\) | −1.96934 | − | 5.41072i | −0.0891479 | − | 0.244932i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.0397597 | + | 0.225489i | 0.00179616 | + | 0.0101865i | ||||
\(491\) | 23.0346 | + | 13.2990i | 1.03954 | + | 0.600177i | 0.919702 | − | 0.392616i | \(-0.128430\pi\) |
0.119835 | + | 0.992794i | \(0.461763\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.3857 | − | 10.3928i | 0.557822 | − | 0.468068i | ||||
\(494\) | 32.8028 | − | 22.9688i | 1.47587 | − | 1.03341i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.212919 | − | 0.456606i | −0.00956034 | − | 0.0205022i | ||||
\(497\) | 7.35154 | − | 20.1982i | 0.329761 | − | 0.906012i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.583121 | − | 6.66511i | −0.0261041 | − | 0.298371i | −0.998013 | − | 0.0630127i | \(-0.979929\pi\) |
0.971909 | − | 0.235358i | \(-0.0756264\pi\) | |||||||
\(500\) | 0.0712122 | + | 0.813959i | 0.00318471 | + | 0.0364014i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4.22018 | + | 11.5949i | −0.188356 | + | 0.517504i | ||||
\(503\) | −13.8860 | − | 29.7785i | −0.619144 | − | 1.32776i | −0.926547 | − | 0.376179i | \(-0.877238\pi\) |
0.307403 | − | 0.951579i | \(-0.400540\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.623788 | − | 0.436781i | 0.0277582 | − | 0.0194365i | ||||
\(506\) | 0.498404 | − | 0.418210i | 0.0221567 | − | 0.0185917i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −11.0169 | − | 6.36061i | −0.488796 | − | 0.282206i | ||||
\(509\) | 0.923450 | + | 5.23715i | 0.0409312 | + | 0.232132i | 0.998410 | − | 0.0563717i | \(-0.0179532\pi\) |
−0.957479 | + | 0.288504i | \(0.906842\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.31324 | + | 9.10305i | 0.146569 | + | 0.402695i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.80171 | − | 21.5606i | 0.167686 | − | 0.950997i | ||||
\(515\) | −1.01573 | + | 1.21050i | −0.0447585 | + | 0.0533411i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 0.840822i | − | 0.0369793i | ||||||
\(518\) | −2.93518 | − | 12.1148i | −0.128965 | − | 0.532295i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.426784 | + | 0.0373387i | 0.0187157 | + | 0.00163741i | ||||
\(521\) | −8.93876 | − | 7.50051i | −0.391614 | − | 0.328603i | 0.425627 | − | 0.904898i | \(-0.360053\pi\) |
−0.817242 | + | 0.576295i | \(0.804498\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.5894 | − | 35.5761i | 0.725405 | − | 1.55564i | −0.102478 | − | 0.994735i | \(-0.532677\pi\) |
0.827883 | − | 0.560901i | \(-0.189545\pi\) | |||||||
\(524\) | −1.14379 | − | 1.14379i | −0.0499667 | − | 0.0499667i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.23383 | + | 2.47420i | 0.402614 | + | 0.107880i | ||||
\(527\) | −2.55112 | + | 0.449832i | −0.111129 | + | 0.0195950i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.0295 | − | 12.7188i | 0.957806 | − | 0.552989i | ||||
\(530\) | −0.312075 | − | 0.371916i | −0.0135557 | − | 0.0161550i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −15.1279 | + | 4.05351i | −0.655877 | + | 0.175742i | ||||
\(533\) | 23.1858 | − | 10.8117i | 1.00429 | − | 0.468307i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.463953 | − | 0.324863i | −0.0200584 | − | 0.0140451i | ||||
\(536\) | −5.51070 | + | 0.482124i | −0.238026 | + | 0.0208246i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −16.3124 | + | 23.2965i | −0.703276 | + | 1.00438i | ||||
\(539\) | 0.246006 | + | 0.0895390i | 0.0105962 | + | 0.00385672i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.59701 | − | 5.96011i | −0.0686607 | − | 0.256245i | 0.923061 | − | 0.384655i | \(-0.125679\pi\) |
−0.991721 | + | 0.128410i | \(0.959013\pi\) | |||||||
\(542\) | −0.193727 | − | 0.276671i | −0.00832128 | − | 0.0118840i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.57089 | − | 4.45291i | −0.110226 | − | 0.190917i | ||||
\(545\) | −0.194686 | + | 0.337206i | −0.00833942 | + | 0.0144443i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.17369 | + | 19.3085i | −0.221211 | + | 0.825571i | 0.762676 | + | 0.646781i | \(0.223885\pi\) |
−0.983887 | + | 0.178791i | \(0.942782\pi\) | |||||||
\(548\) | −14.9564 | + | 5.44367i | −0.638904 | + | 0.232542i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.423059 | + | 0.197276i | 0.0180393 | + | 0.00841186i | ||||
\(551\) | −23.6665 | − | 4.17305i | −1.00823 | − | 0.177778i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.52096 | + | 28.8146i | −0.107202 | + | 1.22532i | ||||
\(554\) | −9.03370 | −0.383805 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.29521 | 0.224567 | ||||||||
\(557\) | 3.31456 | − | 37.8856i | 0.140442 | − | 1.60526i | −0.519852 | − | 0.854256i | \(-0.674013\pi\) |
0.660294 | − | 0.751007i | \(-0.270432\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −37.7714 | − | 6.66011i | −1.59756 | − | 0.281693i | ||||
\(560\) | −0.151854 | − | 0.0708109i | −0.00641702 | − | 0.00299230i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 26.3867 | − | 9.60397i | 1.11306 | − | 0.405119i | ||||
\(563\) | 10.5776 | − | 39.4761i | 0.445792 | − | 1.66372i | −0.268045 | − | 0.963407i | \(-0.586377\pi\) |
0.713837 | − | 0.700312i | \(-0.246956\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.823633 | − | 1.42657i | 0.0346505 | − | 0.0600164i | ||||
\(566\) | 6.80150 | + | 11.7805i | 0.285888 | + | 0.495173i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.01610 | − | 8.59188i | −0.252430 | − | 0.360507i | ||||
\(569\) | 9.76404 | + | 36.4399i | 0.409330 | + | 1.52764i | 0.795928 | + | 0.605392i | \(0.206983\pi\) |
−0.386598 | + | 0.922248i | \(0.626350\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.6730 | − | 4.97657i | −0.572198 | − | 0.208263i | 0.0396837 | − | 0.999212i | \(-0.487365\pi\) |
−0.611882 | + | 0.790949i | \(0.709587\pi\) | |||||||
\(572\) | 0.280958 | − | 0.401250i | 0.0117475 | − | 0.0167771i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −9.96731 | + | 0.872026i | −0.416027 | + | 0.0363977i | ||||
\(575\) | 28.4672 | + | 19.9329i | 1.18716 | + | 0.831261i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 28.4758 | − | 13.2785i | 1.18546 | − | 0.552791i | 0.273026 | − | 0.962007i | \(-0.411976\pi\) |
0.912438 | + | 0.409216i | \(0.134198\pi\) | |||||||
\(578\) | −9.11634 | + | 2.44272i | −0.379190 | + | 0.101604i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.165260 | − | 0.196949i | −0.00686205 | − | 0.00817787i | ||||
\(581\) | −20.2323 | + | 11.6811i | −0.839376 | + | 0.484614i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.546676 | + | 0.0963936i | −0.0226410 | + | 0.00399222i | ||||
\(584\) | 4.56607 | + | 1.22347i | 0.188945 | + | 0.0506277i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 17.6142 | + | 17.6142i | 0.727635 | + | 0.727635i | ||||
\(587\) | 18.7182 | − | 40.1414i | 0.772584 | − | 1.65681i | 0.0186807 | − | 0.999826i | \(-0.494053\pi\) |
0.753903 | − | 0.656986i | \(-0.228169\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.94952 | + | 2.47494i | 0.121533 | + | 0.101978i | ||||
\(590\) | −0.721060 | − | 0.0630846i | −0.0296856 | − | 0.00259715i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.66414 | − | 2.21756i | −0.232795 | − | 0.0911412i | ||||
\(593\) | 28.5125i | 1.17087i | 0.810721 | + | 0.585433i | \(0.199076\pi\) | ||||
−0.810721 | + | 0.585433i | \(0.800924\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.553774 | + | 0.659962i | −0.0227025 | + | 0.0270558i | ||||
\(596\) | −0.826280 | + | 4.68607i | −0.0338457 | + | 0.191949i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 25.7864 | − | 25.7864i | 1.05448 | − | 1.05448i | ||||
\(599\) | −4.98253 | − | 13.6894i | −0.203581 | − | 0.559333i | 0.795321 | − | 0.606188i | \(-0.207302\pi\) |
−0.998902 | + | 0.0468554i | \(0.985080\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.16812 | + | 6.62472i | 0.0476485 | + | 0.270228i | 0.999319 | − | 0.0368922i | \(-0.0117458\pi\) |
−0.951671 | + | 0.307120i | \(0.900635\pi\) | |||||||
\(602\) | 12.9906 | + | 7.50014i | 0.529458 | + | 0.305683i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.13019 | + | 2.62654i | −0.127366 | + | 0.106872i | ||||
\(605\) | 0.736141 | − | 0.515451i | 0.0299284 | − | 0.0209561i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.2261 | + | 21.9300i | 0.415066 | + | 0.890112i | 0.997039 | + | 0.0769037i | \(0.0245034\pi\) |
−0.581972 | + | 0.813209i | \(0.697719\pi\) | |||||||
\(608\) | −2.61387 | + | 7.18154i | −0.106006 | + | 0.291250i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.0410312 | + | 0.468989i | 0.00166131 | + | 0.0189888i | ||||
\(611\) | −4.10751 | − | 46.9490i | −0.166172 | − | 1.89935i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.234258 | + | 0.643620i | −0.00946161 | + | 0.0259956i | −0.944334 | − | 0.328990i | \(-0.893292\pi\) |
0.934872 | + | 0.354985i | \(0.115514\pi\) | |||||||
\(614\) | 2.87322 | + | 6.16163i | 0.115954 | + | 0.248663i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.156929 | + | 0.109883i | −0.00632285 | + | 0.00442731i | ||||
\(617\) | −5.94794 | + | 4.99091i | −0.239455 | + | 0.200927i | −0.754616 | − | 0.656167i | \(-0.772177\pi\) |
0.515161 | + | 0.857094i | \(0.327732\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.3094 | − | 14.0350i | −0.977076 | − | 0.564115i | −0.0756901 | − | 0.997131i | \(-0.524116\pi\) |
−0.901386 | + | 0.433016i | \(0.857449\pi\) | |||||||
\(620\) | 0.00715295 | + | 0.0405664i | 0.000287269 | + | 0.00162919i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 12.0219 | + | 33.0299i | 0.482034 | + | 1.32438i | ||||
\(623\) | 8.13827 | − | 8.13827i | 0.326053 | − | 0.326053i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.32380 | + | 24.5215i | −0.172952 | + | 0.980859i | ||||
\(626\) | −18.9643 | + | 22.6007i | −0.757964 | + | 0.903307i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.29047i | 0.171208i | ||||||||
\(629\) | −18.5515 | + | 25.1803i | −0.739696 | + | 1.00400i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 31.9009 | + | 2.79097i | 1.26996 | + | 0.111107i | 0.702134 | − | 0.712045i | \(-0.252231\pi\) |
0.567821 | + | 0.823152i | \(0.307786\pi\) | |||||||
\(632\) | 10.8124 | + | 9.07265i | 0.430093 | + | 0.360891i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 14.3976 | − | 30.8758i | 0.571803 | − | 1.22623i | ||||
\(635\) | 0.735466 | + | 0.735466i | 0.0291861 | + | 0.0291861i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 14.1737 | + | 3.79783i | 0.561582 | + | 0.150475i | ||||
\(638\) | −0.289494 | + | 0.0510455i | −0.0114612 | + | 0.00202091i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.0708076 | + | 0.0408808i | −0.00279891 | + | 0.00161595i | ||||
\(641\) | 8.62878 | + | 10.2834i | 0.340816 | + | 0.406169i | 0.909043 | − | 0.416703i | \(-0.136815\pi\) |
−0.568226 | + | 0.822872i | \(0.692370\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.56362 | − | 1.49077i | 0.219408 | − | 0.0587902i | −0.147440 | − | 0.989071i | \(-0.547103\pi\) |
0.366848 | + | 0.930281i | \(0.380437\pi\) | |||||||
\(644\) | −12.9262 | + | 6.02756i | −0.509362 | + | 0.237519i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 32.1892 | + | 22.5391i | 1.26647 | + | 0.886790i | ||||
\(647\) | 27.5548 | − | 2.41073i | 1.08329 | − | 0.0947757i | 0.468498 | − | 0.883464i | \(-0.344795\pi\) |
0.614793 | + | 0.788689i | \(0.289240\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.474685 | + | 0.677921i | −0.0186330 | + | 0.0266107i | ||||
\(650\) | 24.5861 | + | 8.94860i | 0.964346 | + | 0.350993i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.06070 | + | 3.95860i | 0.0415404 | + | 0.155031i | ||||
\(653\) | −13.5295 | − | 19.3221i | −0.529451 | − | 0.756134i | 0.461963 | − | 0.886899i | \(-0.347145\pi\) |
−0.991413 | + | 0.130765i | \(0.958257\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.0661272 | + | 0.114536i | 0.00258380 | + | 0.00447528i | ||||
\(656\) | −2.44119 | + | 4.22826i | −0.0953123 | + | 0.165086i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.77053 | + | 17.8039i | −0.185975 | + | 0.694066i | ||||
\(659\) | 15.3229 | − | 5.57707i | 0.596895 | − | 0.217252i | −0.0258646 | − | 0.999665i | \(-0.508234\pi\) |
0.622759 | + | 0.782414i | \(0.286012\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.49678 | − | 1.16427i | −0.0971135 | − | 0.0452848i | 0.373455 | − | 0.927648i | \(-0.378173\pi\) |
−0.470568 | + | 0.882364i | \(0.655951\pi\) | |||||||
\(662\) | −4.94602 | − | 0.872116i | −0.192232 | − | 0.0338958i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.993590 | + | 11.3568i | −0.0385588 | + | 0.440729i | ||||
\(665\) | 1.28051 | 0.0496561 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −21.8848 | −0.847382 | ||||||||
\(668\) | 0.228078 | − | 2.60695i | 0.00882461 | − | 0.100866i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.445413 | + | 0.0785384i | 0.0172078 | + | 0.00303420i | ||||
\(671\) | 0.487845 | + | 0.227486i | 0.0188330 | + | 0.00878199i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.8999 | + | 5.42313i | −0.574350 | + | 0.209046i | −0.612832 | − | 0.790213i | \(-0.709970\pi\) |
0.0384821 | + | 0.999259i | \(0.487748\pi\) | |||||||
\(674\) | −5.87575 | + | 21.9286i | −0.226325 | + | 0.844658i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.22774 | − | 12.5188i | 0.277990 | − | 0.481493i | ||||
\(677\) | 2.29819 | + | 3.98058i | 0.0883266 | + | 0.152986i | 0.906804 | − | 0.421553i | \(-0.138515\pi\) |
−0.818477 | + | 0.574539i | \(0.805181\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.40694 | − | 2.00931i | −0.0539932 | − | 0.0771103i | ||||
\(680\) | 0.108808 | + | 0.406075i | 0.00417258 | + | 0.0155723i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.0442576 | + | 0.0161085i | 0.00169471 | + | 0.000616825i | ||||
\(683\) | 27.1672 | − | 38.7988i | 1.03952 | − | 1.48459i | 0.173346 | − | 0.984861i | \(-0.444542\pi\) |
0.866179 | − | 0.499734i | \(-0.166569\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.29638 | − | 0.113419i | 0.0495322 | − | 0.00433351i | ||||
\(686\) | −16.4517 | − | 11.5196i | −0.628131 | − | 0.439822i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.63395 | − | 3.09346i | 0.252917 | − | 0.117937i | ||||
\(689\) | −30.0539 | + | 8.05291i | −1.14496 | + | 0.306791i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10.0433 | − | 11.9691i | −0.382065 | − | 0.455327i | 0.540400 | − | 0.841408i | \(-0.318273\pi\) |
−0.922465 | + | 0.386081i | \(0.873828\pi\) | |||||||
\(692\) | −1.05436 | + | 0.608733i | −0.0400806 | + | 0.0231406i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 15.1332 | − | 2.66839i | 0.574449 | − | 0.101291i | ||||
\(695\) | −0.418192 | − | 0.112054i | −0.0158629 | − | 0.00425046i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 17.7513 | + | 17.7513i | 0.672378 | + | 0.672378i | ||||
\(698\) | −2.87062 | + | 6.15607i | −0.108655 | + | 0.233011i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.83873 | − | 6.57747i | −0.296276 | − | 0.248605i | ||||
\(701\) | −1.81313 | − | 0.158628i | −0.0684810 | − | 0.00599131i | 0.0528638 | − | 0.998602i | \(-0.483165\pi\) |
−0.121345 | + | 0.992610i | \(0.538721\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 46.3944 | − | 2.93450i | 1.74980 | − | 0.110677i | ||||
\(704\) | 0.0934838i | 0.00352330i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.7508 | + | 12.8123i | −0.404613 | + | 0.482199i | ||||
\(707\) | −3.31433 | + | 18.7965i | −0.124648 | + | 0.706916i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 30.3617 | − | 30.3617i | 1.14026 | − | 1.14026i | 0.151857 | − | 0.988402i | \(-0.451475\pi\) |
0.988402 | − | 0.151857i | \(-0.0485253\pi\) | |||||||
\(710\) | 0.293308 | + | 0.805858i | 0.0110077 | + | 0.0302433i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.975248 | − | 5.53090i | −0.0365490 | − | 0.207279i | ||||
\(713\) | 3.03660 | + | 1.75318i | 0.113722 | + | 0.0656572i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0306799 | + | 0.0257435i | −0.00114736 | + | 0.000962752i | ||||
\(716\) | −5.91818 | + | 4.14395i | −0.221173 | + | 0.154867i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 10.4107 | + | 22.3258i | 0.388524 | + | 0.833193i | ||||
\(719\) | 0.175409 | − | 0.481933i | 0.00654166 | − | 0.0179731i | −0.936379 | − | 0.350991i | \(-0.885845\pi\) |
0.942920 | + | 0.333018i | \(0.108067\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.45192 | − | 39.4557i | −0.128556 | − | 1.46941i | ||||
\(722\) | −3.43454 | − | 39.2569i | −0.127820 | − | 1.46099i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.84300 | − | 10.5585i | 0.142824 | − | 0.392405i | ||||
\(725\) | −6.63573 | − | 14.2304i | −0.246445 | − | 0.528502i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.88484 | + | 5.52102i | −0.292432 | + | 0.204763i | −0.710581 | − | 0.703615i | \(-0.751568\pi\) |
0.418149 | + | 0.908379i | \(0.362679\pi\) | |||||||
\(728\) | −8.22567 | + | 6.90215i | −0.304864 | + | 0.255811i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.334717 | − | 0.193249i | −0.0123884 | − | 0.00715247i | ||||
\(731\) | −6.53553 | − | 37.0648i | −0.241725 | − | 1.37089i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 11.6456 | + | 31.9960i | 0.430139 | + | 1.18180i | 0.945727 | + | 0.324961i | \(0.105351\pi\) |
−0.515588 | + | 0.856836i | \(0.672427\pi\) | |||||||
\(734\) | 6.30143 | − | 6.30143i | 0.232590 | − | 0.232590i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.20854 | + | 6.85397i | −0.0445474 | + | 0.252641i | ||||
\(737\) | 0.332404 | − | 0.396144i | 0.0122443 | − | 0.0145922i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 21.9621i | 0.807888i | 0.914784 | + | 0.403944i | \(0.132361\pi\) | ||||
−0.914784 | + | 0.403944i | \(0.867639\pi\) | |||||||
\(740\) | 0.400401 | + | 0.294994i | 0.0147191 | + | 0.0108442i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 12.1224 | + | 1.06057i | 0.445027 | + | 0.0389349i | ||||
\(743\) | 22.7466 | + | 19.0867i | 0.834492 | + | 0.700222i | 0.956318 | − | 0.292329i | \(-0.0944303\pi\) |
−0.121825 | + | 0.992552i | \(0.538875\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.164420 | − | 0.352599i | 0.00602388 | − | 0.0129182i | ||||
\(746\) | −19.7673 | − | 19.7673i | −0.723733 | − | 0.723733i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.464295 | + | 0.124407i | 0.0169763 | + | 0.00454878i | ||||
\(749\) | 13.9802 | − | 2.46509i | 0.510827 | − | 0.0900726i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −37.0006 | + | 21.3623i | −1.35017 | + | 0.779521i | −0.988273 | − | 0.152697i | \(-0.951204\pi\) |
−0.361897 | + | 0.932218i | \(0.617871\pi\) | |||||||
\(752\) | 5.78143 | + | 6.89004i | 0.210827 | + | 0.251254i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −15.9151 | + | 4.26444i | −0.579594 | + | 0.155302i | ||||
\(755\) | 0.302790 | − | 0.141193i | 0.0110196 | − | 0.00513854i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.26333 | + | 3.68542i | 0.191299 | + | 0.133949i | 0.665302 | − | 0.746574i | \(-0.268303\pi\) |
−0.474003 | + | 0.880523i | \(0.657192\pi\) | |||||||
\(758\) | −9.59004 | + | 0.839020i | −0.348326 | + | 0.0304746i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.358404 | − | 0.511853i | 0.0130007 | − | 0.0185669i | ||||
\(761\) | −14.9673 | − | 5.44766i | −0.542565 | − | 0.197477i | 0.0561751 | − | 0.998421i | \(-0.482109\pi\) |
−0.598740 | + | 0.800943i | \(0.704332\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.52589 | − | 9.42674i | −0.0914433 | − | 0.341271i | ||||
\(764\) | 6.45542 | + | 9.21930i | 0.233549 | + | 0.333543i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.69766 | + | 8.13659i | 0.169733 | + | 0.293987i | ||||
\(767\) | −23.1933 | + | 40.1720i | −0.837462 | + | 1.45053i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.24915 | − | 4.66189i | 0.0450455 | − | 0.168112i | −0.939739 | − | 0.341893i | \(-0.888932\pi\) |
0.984784 | + | 0.173781i | \(0.0555986\pi\) | |||||||
\(770\) | 0.0147188 | − | 0.00535722i | 0.000530430 | − | 0.000193061i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 17.7167 | + | 8.26146i | 0.637640 | + | 0.297336i | ||||
\(773\) | 35.3635 | + | 6.23554i | 1.27194 | + | 0.224277i | 0.768553 | − | 0.639786i | \(-0.220977\pi\) |
0.503384 | + | 0.864063i | \(0.332088\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.219256 | + | 2.50610i | −0.00787590 | + | 0.0900219i | ||||
\(776\) | −1.19696 | −0.0429684 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.27419 | −0.0815335 | ||||||||
\(779\) | 3.25206 | − | 37.1713i | 0.116517 | − | 1.33180i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.965632 | + | 0.170267i | 0.0345530 | + | 0.00609263i | ||||
\(782\) | 32.4325 | + | 15.1235i | 1.15978 | + | 0.540816i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.63154 | + | 0.957802i | −0.0939836 | + | 0.0342072i | ||||
\(785\) | 0.0907925 | − | 0.338842i | 0.00324052 | − | 0.0120938i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 19.2152 | − | 33.2817i | 0.684948 | − | 1.18636i | −0.288505 | − | 0.957478i | \(-0.593158\pi\) |
0.973453 | − | 0.228886i | \(-0.0735084\pi\) | |||||||
\(788\) | −4.11207 | − | 7.12231i | −0.146486 | − | 0.253722i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.661922 | − | 0.945322i | −0.0235501 | − | 0.0336331i | ||||
\(791\) | 10.6860 | + | 39.8805i | 0.379949 | + | 1.41799i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 28.3511 | + | 10.3190i | 1.00678 | + | 0.366437i | ||||
\(794\) | −22.0745 | + | 31.5256i | −0.783394 | + | 1.11880i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.46765 | + | 0.565846i | −0.229240 | + | 0.0200559i | ||||
\(797\) | 23.8024 | + | 16.6666i | 0.843125 | + | 0.590363i | 0.913353 | − | 0.407168i | \(-0.133484\pi\) |
−0.0702280 | + | 0.997531i | \(0.522373\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 41.9138 | − | 19.5447i | 1.48280 | − | 0.691443i | ||||
\(800\) | −4.82317 | + | 1.29237i | −0.170525 | + | 0.0456920i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −17.8196 | − | 21.2366i | −0.629234 | − | 0.749891i | ||||
\(803\) | −0.382706 | + | 0.220955i | −0.0135054 | + | 0.00779735i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.14840 | − | 0.202494i | 0.0404758 | − | 0.00713698i | ||||
\(806\) | 2.54991 | + | 0.683246i | 0.0898167 | + | 0.0240663i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.58580 | + | 6.58580i | 0.231688 | + | 0.231688i | ||||
\(809\) | 6.01017 | − | 12.8888i | 0.211306 | − | 0.453148i | −0.771876 | − | 0.635773i | \(-0.780682\pi\) |
0.983183 | + | 0.182625i | \(0.0584594\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −32.3636 | − | 27.1563i | −1.13644 | − | 0.953586i | −0.137123 | − | 0.990554i | \(-0.543786\pi\) |
−0.999316 | + | 0.0369680i | \(0.988230\pi\) | |||||||
\(812\) | 6.41945 | + | 0.561630i | 0.225279 | + | 0.0197093i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.521004 | − | 0.227829i | 0.0182612 | − | 0.00798540i | ||||
\(815\) | − | 0.335079i | − | 0.0117373i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −35.9581 | + | 42.8531i | −1.25801 | + | 1.49924i | ||||
\(818\) | −3.54712 | + | 20.1167i | −0.124022 | + | 0.703365i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.282270 | − | 0.282270i | 0.00985730 | − | 0.00985730i | ||||
\(821\) | −4.31086 | − | 11.8440i | −0.150450 | − | 0.413358i | 0.841457 | − | 0.540324i | \(-0.181698\pi\) |
−0.991907 | + | 0.126966i | \(0.959476\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.150089 | − | 0.851197i | −0.00523177 | − | 0.0296708i | 0.982080 | − | 0.188464i | \(-0.0603508\pi\) |
−0.987312 | + | 0.158793i | \(0.949240\pi\) | |||||||
\(824\) | −16.7376 | − | 9.66346i | −0.583082 | − | 0.336642i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 13.8974 | − | 11.6613i | 0.483554 | − | 0.405750i | ||||
\(827\) | −5.81588 | + | 4.07233i | −0.202238 | + | 0.141609i | −0.670309 | − | 0.742083i | \(-0.733838\pi\) |
0.468070 | + | 0.883691i | \(0.344949\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −0.850573 | − | 1.82406i | −0.0295416 | − | 0.0633522i | 0.890983 | − | 0.454036i | \(-0.150016\pi\) |
−0.920525 | + | 0.390684i | \(0.872239\pi\) | |||||||
\(830\) | 0.318795 | − | 0.875883i | 0.0110655 | − | 0.0304023i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.456679 | + | 5.21986i | 0.0158325 | + | 0.180966i | ||||
\(833\) | 1.25497 | + | 14.3444i | 0.0434822 | + | 0.497004i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.0731793 | + | 0.201059i | −0.00253248 | + | 0.00695792i | ||||
\(836\) | −0.301937 | − | 0.647506i | −0.0104427 | − | 0.0223945i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −20.2145 | + | 14.1544i | −0.698299 | + | 0.488954i | ||||
\(839\) | −24.9072 | + | 20.8996i | −0.859891 | + | 0.721534i | −0.961945 | − | 0.273245i | \(-0.911903\pi\) |
0.102054 | + | 0.994779i | \(0.467459\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.5516 | − | 9.55607i | −0.570745 | − | 0.329520i | ||||
\(842\) | 6.12522 | + | 34.7379i | 0.211089 | + | 1.19715i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.56229 | + | 12.5348i | 0.157040 | + | 0.431465i | ||||
\(845\) | −0.835731 | + | 0.835731i | −0.0287500 | + | 0.0287500i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.91129 | + | 22.1820i | −0.134394 | + | 0.762184i | ||||
\(848\) | 3.81689 | − | 4.54879i | 0.131072 | − | 0.156206i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 25.6745i | 0.880630i | ||||||||
\(851\) | 41.1439 | − | 9.96836i | 1.41039 | − | 0.341711i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −38.0428 | − | 3.32832i | −1.30256 | − | 0.113959i | −0.585331 | − | 0.810795i | \(-0.699035\pi\) |
−0.717231 | + | 0.696835i | \(0.754591\pi\) | |||||||
\(854\) | −9.03912 | − | 7.58472i | −0.309312 | − | 0.259544i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.92758 | − | 6.27822i | 0.100063 | − | 0.214585i | ||||
\(857\) | −38.0032 | − | 38.0032i | −1.29817 | − | 1.29817i | −0.929602 | − | 0.368564i | \(-0.879850\pi\) |
−0.368564 | − | 0.929602i | \(-0.620150\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −47.6652 | − | 12.7718i | −1.62631 | − | 0.435770i | −0.673467 | − | 0.739218i | \(-0.735196\pi\) |
−0.952848 | + | 0.303448i | \(0.901862\pi\) | |||||||
\(860\) | −0.589382 | + | 0.103924i | −0.0200978 | + | 0.00354378i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 19.7132 | − | 11.3814i | 0.671435 | − | 0.387653i | ||||
\(863\) | −8.87652 | − | 10.5786i | −0.302160 | − | 0.360101i | 0.593504 | − | 0.804831i | \(-0.297744\pi\) |
−0.895665 | + | 0.444730i | \(0.853300\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.0961501 | − | 0.0257633i | 0.00326920 | − | 0.000875979i | ||||
\(866\) | −24.2649 | + | 11.3149i | −0.824554 | + | 0.384496i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.845733 | − | 0.592188i | −0.0287060 | − | 0.0201002i | ||||
\(869\) | −1.31446 | + | 0.115000i | −0.0445900 | + | 0.00390112i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.6253 | − | 23.7433i | 0.563326 | − | 0.804513i | ||||
\(872\) | −4.47508 | − | 1.62880i | −0.151545 | − | 0.0551580i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −13.7664 | − | 51.3768i | −0.465654 | − | 1.73784i | ||||
\(875\) | 0.960401 | + | 1.37159i | 0.0324675 | + | 0.0463683i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.44868 | − | 9.43740i | −0.183989 | − | 0.318678i | 0.759246 | − | 0.650803i | \(-0.225568\pi\) |
−0.943235 | + | 0.332125i | \(0.892234\pi\) | |||||||
\(878\) | −7.53862 | + | 13.0573i | −0.254416 | + | 0.440662i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.00197825 | − | 0.00738293i | 6.66868e−5 | − | 0.000248879i | ||||
\(881\) | 25.2957 | − | 9.20690i | 0.852235 | − | 0.310188i | 0.121284 | − | 0.992618i | \(-0.461299\pi\) |
0.730951 | + | 0.682430i | \(0.239077\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8.46271 | + | 3.94623i | 0.284793 | + | 0.132801i | 0.559766 | − | 0.828651i | \(-0.310891\pi\) |
−0.274973 | + | 0.961452i | \(0.588669\pi\) | |||||||
\(884\) | 26.5326 | + | 4.67841i | 0.892388 | + | 0.157352i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.47588 | − | 16.8693i | 0.0495830 | − | 0.566736i | ||||
\(887\) | −27.3636 | −0.918778 | −0.459389 | − | 0.888235i | \(-0.651932\pi\) | ||||
−0.459389 | + | 0.888235i | \(0.651932\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −26.0694 | −0.874340 | ||||||||
\(890\) | −0.0400212 | + | 0.457444i | −0.00134151 | + | 0.0153336i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.48868 | + | 1.49678i | 0.284222 | + | 0.0501160i | ||||
\(893\) | −62.2982 | − | 29.0501i | −2.08473 | − | 0.972125i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.555083 | − | 0.202034i | 0.0185544 | − | 0.00675324i | ||||
\(896\) | 0.530394 | − | 1.97946i | 0.0177192 | − | 0.0661291i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −11.7650 | + | 20.3776i | −0.392603 | + | 0.680008i | ||||
\(899\) | −0.792113 | − | 1.37198i | −0.0264185 | − | 0.0457581i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −17.5125 | − | 25.0104i | −0.583424 | − | 0.833216i | ||||
\(902\) | −0.118131 | − | 0.440870i | −0.00393333 | − | 0.0146794i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 18.9322 | + | 6.89075i | 0.629675 | + | 0.229183i | ||||
\(905\) | −0.526937 | + | 0.752544i | −0.0175160 | + | 0.0250154i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.07713 | + | 0.531680i | −0.201788 | + | 0.0176541i | −0.187601 | − | 0.982245i | \(-0.560071\pi\) |
−0.0141862 | + | 0.999899i | \(0.504516\pi\) | |||||||
\(908\) | −1.39425 | − | 0.976266i | −0.0462699 | − | 0.0323985i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.795686 | − | 0.371035i | 0.0263767 | − | 0.0122997i | ||||
\(911\) | −27.6749 | + | 7.41548i | −0.916912 | + | 0.245686i | −0.686265 | − | 0.727352i | \(-0.740751\pi\) |
−0.230647 | + | 0.973038i | \(0.574084\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.685039 | − | 0.816397i | −0.0226715 | − | 0.0270188i | ||||
\(914\) | 30.7918 | − | 17.7777i | 1.01850 | − | 0.588033i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −21.2578 | + | 3.74832i | −0.702376 | + | 0.123848i | ||||
\(917\) | −3.20190 | − | 0.857946i | −0.105736 | − | 0.0283319i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −0.782463 | − | 0.782463i | −0.0258111 | − | 0.0258111i | 0.694083 | − | 0.719895i | \(-0.255810\pi\) |
−0.719895 | + | 0.694083i | \(0.755810\pi\) | |||||||
\(920\) | 0.240485 | − | 0.515722i | 0.00792856 | − | 0.0170028i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −14.2576 | − | 11.9635i | −0.469548 | − | 0.393998i | ||||
\(923\) | 54.7498 | + | 4.78999i | 1.80211 | + | 0.157664i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 18.9571 | + | 23.7309i | 0.623307 | + | 0.780267i | ||||
\(926\) | 9.11358i | 0.299491i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.02124 | − | 2.40883i | 0.0663506 | − | 0.0790736i | ||||
\(929\) | −6.55049 | + | 37.1497i | −0.214914 | + | 1.21884i | 0.666140 | + | 0.745826i | \(0.267945\pi\) |
−0.881055 | + | 0.473014i | \(0.843166\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.1336 | − | 15.1336i | 0.495982 | − | 0.495982i | ||||
\(932\) | −5.38442 | − | 14.7936i | −0.176373 | − | 0.484580i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.12105 | − | 6.35777i | −0.0366818 | − | 0.208033i | ||||
\(935\) | −0.0340353 | − | 0.0196503i | −0.00111307 | − | 0.000642633i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −10.1252 | + | 8.49605i | −0.330776 | + | 0.277554i | −0.793016 | − | 0.609201i | \(-0.791490\pi\) |
0.462240 | + | 0.886755i | \(0.347046\pi\) | |||||||
\(938\) | −9.28603 | + | 6.50215i | −0.303200 | + | 0.212303i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.310788 | − | 0.666488i | −0.0101368 | − | 0.0217384i | ||||
\(941\) | −7.10934 | + | 19.5327i | −0.231758 | + | 0.636749i | −0.999994 | − | 0.00341701i | \(-0.998912\pi\) |
0.768236 | + | 0.640166i | \(0.221135\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.96154 | − | 33.8506i | −0.0964411 | − | 1.10233i | ||||
\(944\) | −0.771568 | − | 8.81906i | −0.0251124 | − | 0.287036i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.234037 | + | 0.643012i | −0.00760920 | + | 0.0209061i | ||||
\(947\) | −16.3956 | − | 35.1604i | −0.532785 | − | 1.14256i | −0.969978 | − | 0.243193i | \(-0.921805\pi\) |
0.437193 | − | 0.899368i | \(-0.355973\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −20.2898 | + | 14.2071i | −0.658634 | + | 0.461181i | ||||
\(950\) | 29.2331 | − | 24.5295i | 0.948447 | − | 0.795842i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −9.12530 | − | 5.26849i | −0.295753 | − | 0.170753i | ||||
\(953\) | 4.07400 | + | 23.1048i | 0.131970 | + | 0.748437i | 0.976922 | + | 0.213596i | \(0.0685176\pi\) |
−0.844952 | + | 0.534842i | \(0.820371\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.314727 | − | 0.864706i | −0.0101843 | − | 0.0279812i | ||||
\(956\) | 7.60186 | − | 7.60186i | 0.245862 | − | 0.245862i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.69647 | + | 20.9637i | −0.119428 | + | 0.677308i | ||||
\(959\) | −20.9657 | + | 24.9860i | −0.677019 | + | 0.806840i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 30.7462i | − | 0.991812i | ||||||
\(962\) | 27.9784 | − | 15.2665i | 0.902058 | − | 0.492210i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.12164 | − | 0.623063i | −0.229373 | − | 0.0200675i | ||||
\(965\) | −1.22437 | − | 1.02737i | −0.0394137 | − | 0.0330721i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.4019 | + | 26.5961i | −0.398820 | + | 0.855272i | 0.599666 | + | 0.800251i | \(0.295300\pi\) |
−0.998485 | + | 0.0550208i | \(0.982477\pi\) | |||||||
\(968\) | 7.77200 | + | 7.77200i | 0.249801 | + | 0.249801i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.0945307 | + | 0.0253294i | 0.00303520 | + | 0.000813279i | ||||
\(971\) | 50.3879 | − | 8.88475i | 1.61702 | − | 0.285125i | 0.709368 | − | 0.704838i | \(-0.248980\pi\) |
0.907657 | + | 0.419713i | \(0.137869\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 9.39759 | − | 5.42570i | 0.301273 | − | 0.173940i | ||||
\(974\) | −8.72054 | − | 10.3927i | −0.279424 | − | 0.333005i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.56177 | + | 1.49027i | −0.178028 | + | 0.0477025i | ||||
\(977\) | −0.184364 | + | 0.0859704i | −0.00589833 | + | 0.00275044i | −0.425565 | − | 0.904928i | \(-0.639925\pi\) |
0.419667 | + | 0.907678i | \(0.362147\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.430076 | + | 0.301143i | 0.0137453 | + | 0.00962456i | ||||
\(980\) | 0.228096 | − | 0.0199558i | 0.00728625 | − | 0.000637465i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 15.2560 | − | 21.7879i | 0.486840 | − | 0.695279i | ||||
\(983\) | 49.1848 | + | 17.9018i | 1.56875 | + | 0.570979i | 0.972720 | − | 0.231981i | \(-0.0745209\pi\) |
0.596032 | + | 0.802961i | \(0.296743\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.174035 | + | 0.649506i | 0.00554520 | + | 0.0206950i | ||||
\(986\) | −9.27377 | − | 13.2443i | −0.295337 | − | 0.421785i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −20.0224 | − | 34.6798i | −0.636998 | − | 1.10331i | ||||
\(989\) | −25.4717 | + | 44.1182i | −0.809952 | + | 1.40288i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.67555 | + | 32.3776i | −0.275588 | + | 1.02851i | 0.679859 | + | 0.733343i | \(0.262041\pi\) |
−0.955446 | + | 0.295165i | \(0.904626\pi\) | |||||||
\(992\) | −0.473426 | + | 0.172313i | −0.0150313 | + | 0.00547094i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −19.4806 | − | 9.08395i | −0.617887 | − | 0.288125i | ||||
\(995\) | 0.522761 | + | 0.0921768i | 0.0165726 | + | 0.00292220i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.99983 | + | 34.2882i | −0.0950056 | + | 1.08592i | 0.787721 | + | 0.616032i | \(0.211261\pi\) |
−0.882727 | + | 0.469887i | \(0.844295\pi\) | |||||||
\(998\) | −6.69057 | −0.211786 | ||||||||
\(999\) | 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 | 666.2.bs.b.557.7 | yes | 96 | |
3.2 | odd | 2 | inner | 666.2.bs.b.557.2 | ✓ | 96 | |
37.19 | odd | 36 | inner | 666.2.bs.b.611.2 | yes | 96 | |
111.56 | even | 36 | inner | 666.2.bs.b.611.7 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.b.557.2 | ✓ | 96 | 3.2 | odd | 2 | inner | |
666.2.bs.b.557.7 | yes | 96 | 1.1 | even | 1 | trivial | |
666.2.bs.b.611.2 | yes | 96 | 37.19 | odd | 36 | inner | |
666.2.bs.b.611.7 | yes | 96 | 111.56 | even | 36 | inner |