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 | 431.4 | ||
Character | \(\chi\) | \(=\) | 666.431 |
Dual form | 666.2.bs.b.17.4 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{29}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.573576 | − | 0.819152i | −0.405580 | − | 0.579228i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.342020 | + | 0.939693i | −0.171010 | + | 0.469846i | ||||
\(5\) | 3.55188 | + | 0.310750i | 1.58845 | + | 0.138971i | 0.846836 | − | 0.531854i | \(-0.178505\pi\) |
0.741615 | + | 0.670826i | \(0.234060\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.11397 | − | 2.61293i | 1.17697 | − | 0.987596i | 0.176977 | − | 0.984215i | \(-0.443368\pi\) |
0.999994 | − | 0.00338075i | \(-0.00107613\pi\) | |||||||
\(8\) | 0.965926 | − | 0.258819i | 0.341506 | − | 0.0915064i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.78273 | − | 3.08777i | −0.563748 | − | 0.976439i | ||||
\(11\) | −0.00168590 | + | 0.00292006i | −0.000508318 | + | 0.000880433i | −0.866279 | − | 0.499560i | \(-0.833495\pi\) |
0.865771 | + | 0.500440i | \(0.166828\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.48479 | − | 0.692367i | 0.411806 | − | 0.192028i | −0.205664 | − | 0.978623i | \(-0.565935\pi\) |
0.617470 | + | 0.786594i | \(0.288158\pi\) | |||||||
\(14\) | −3.92649 | − | 1.05210i | −1.04940 | − | 0.281186i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.766044 | − | 0.642788i | −0.191511 | − | 0.160697i | ||||
\(17\) | −6.72035 | − | 3.13375i | −1.62992 | − | 0.760046i | −0.630059 | − | 0.776547i | \(-0.716969\pi\) |
−0.999864 | + | 0.0165015i | \(0.994747\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.40925 | + | 3.78760i | 1.24097 | + | 0.868934i | 0.994954 | − | 0.100332i | \(-0.0319906\pi\) |
0.246013 | + | 0.969267i | \(0.420879\pi\) | |||||||
\(20\) | −1.50683 | + | 3.23140i | −0.336936 | + | 0.722562i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.00335897 | 0.000293872i | 0.000716135 | 6.26537e-5i | ||||||
\(23\) | −1.87861 | + | 7.01106i | −0.391717 | + | 1.46191i | 0.435585 | + | 0.900148i | \(0.356542\pi\) |
−0.827301 | + | 0.561758i | \(0.810125\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.59528 | + | 1.33925i | 1.51906 | + | 0.267851i | ||||
\(26\) | −1.41879 | − | 0.819140i | −0.278248 | − | 0.160647i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.39031 | + | 3.81985i | 0.262744 | + | 0.721884i | ||||
\(29\) | 0.451637 | + | 1.68553i | 0.0838669 | + | 0.312995i | 0.995097 | − | 0.0989018i | \(-0.0315330\pi\) |
−0.911230 | + | 0.411897i | \(0.864866\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.34406 | − | 6.34406i | −1.13943 | − | 1.13943i | −0.988553 | − | 0.150873i | \(-0.951791\pi\) |
−0.150873 | − | 0.988553i | \(-0.548209\pi\) | |||||||
\(32\) | −0.0871557 | + | 0.996195i | −0.0154071 | + | 0.176104i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.28762 | + | 7.30243i | 0.220824 | + | 1.25236i | ||||
\(35\) | 11.8724 | − | 8.31317i | 2.00681 | − | 1.40518i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.96785 | + | 1.17677i | 0.981108 | + | 0.193460i | ||||
\(38\) | − | 6.60347i | − | 1.07122i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.51129 | − | 0.619134i | 0.555183 | − | 0.0978937i | ||||
\(41\) | −8.09602 | − | 2.94671i | −1.26439 | − | 0.460199i | −0.379148 | − | 0.925336i | \(-0.623783\pi\) |
−0.885239 | + | 0.465137i | \(0.846005\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.92740 | + | 3.92740i | −0.598923 | + | 0.598923i | −0.940026 | − | 0.341103i | \(-0.889199\pi\) |
0.341103 | + | 0.940026i | \(0.389199\pi\) | |||||||
\(44\) | −0.00216735 | − | 0.00258295i | −0.000326741 | − | 0.000389394i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.82065 | − | 2.48251i | 1.00565 | − | 0.366026i | ||||
\(47\) | 0.830808 | − | 0.479667i | 0.121186 | − | 0.0699667i | −0.438182 | − | 0.898886i | \(-0.644377\pi\) |
0.559368 | + | 0.828920i | \(0.311044\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.65387 | − | 9.37955i | 0.236267 | − | 1.33994i | ||||
\(50\) | −3.25942 | − | 6.98986i | −0.460952 | − | 0.988515i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.142786 | + | 1.63205i | 0.0198008 | + | 0.226324i | ||||
\(53\) | 7.38951 | − | 8.80648i | 1.01503 | − | 1.20966i | 0.0374040 | − | 0.999300i | \(-0.488091\pi\) |
0.977623 | − | 0.210362i | \(-0.0674644\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.00689553 | + | 0.00984784i | −0.000929793 | + | 0.00132788i | ||||
\(56\) | 2.33159 | − | 3.32985i | 0.311572 | − | 0.444971i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.12166 | − | 1.33674i | 0.147281 | − | 0.175523i | ||||
\(59\) | 0.918352 | + | 10.4968i | 0.119559 | + | 1.36657i | 0.784712 | + | 0.619861i | \(0.212811\pi\) |
−0.665152 | + | 0.746708i | \(0.731633\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.66422 | − | 10.0025i | −0.597193 | − | 1.28068i | −0.939967 | − | 0.341266i | \(-0.889144\pi\) |
0.342774 | − | 0.939418i | \(-0.388633\pi\) | |||||||
\(62\) | −1.55795 | + | 8.83555i | −0.197859 | + | 1.12212i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | 5.48894 | − | 1.99781i | 0.680820 | − | 0.247798i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.84313 | + | 8.15532i | 0.836021 | + | 0.996331i | 0.999951 | + | 0.00985913i | \(0.00313831\pi\) |
−0.163930 | + | 0.986472i | \(0.552417\pi\) | |||||||
\(68\) | 5.24325 | − | 5.24325i | 0.635838 | − | 0.635838i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −13.6195 | − | 4.95709i | −1.62784 | − | 0.592486i | ||||
\(71\) | −6.56350 | + | 1.15732i | −0.778944 | + | 0.137349i | −0.548964 | − | 0.835846i | \(-0.684977\pi\) |
−0.229981 | + | 0.973195i | \(0.573866\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 1.04063i | − | 0.121796i | −0.998144 | − | 0.0608982i | \(-0.980603\pi\) | ||
0.998144 | − | 0.0608982i | \(-0.0193965\pi\) | |||||||
\(74\) | −2.45906 | − | 5.56354i | −0.285860 | − | 0.646749i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.40925 | + | 3.78760i | −0.620483 | + | 0.434467i | ||||
\(77\) | 0.00238009 | + | 0.0134981i | 0.000271236 | + | 0.00153826i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.482790 | − | 5.51832i | 0.0543181 | − | 0.620859i | −0.919433 | − | 0.393246i | \(-0.871352\pi\) |
0.973752 | − | 0.227613i | \(-0.0730922\pi\) | |||||||
\(80\) | −2.52116 | − | 2.52116i | −0.281874 | − | 0.281874i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.22988 | + | 8.32204i | 0.246249 | + | 0.919016i | ||||
\(83\) | −0.623717 | − | 1.71365i | −0.0684618 | − | 0.188097i | 0.900743 | − | 0.434351i | \(-0.143022\pi\) |
−0.969205 | + | 0.246254i | \(0.920800\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −22.8961 | − | 13.2191i | −2.48343 | − | 1.43381i | ||||
\(86\) | 5.46980 | + | 0.964473i | 0.589824 | + | 0.104002i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.000872686 | 0.00325691i | −9.30286e−5 | 0.000347188i | ||||||
\(89\) | 3.68659 | − | 0.322535i | 0.390778 | − | 0.0341886i | 0.109926 | − | 0.993940i | \(-0.464939\pi\) |
0.280852 | + | 0.959751i | \(0.409383\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.81447 | − | 6.03566i | 0.295037 | − | 0.632709i | ||||
\(92\) | −5.94572 | − | 4.16324i | −0.619884 | − | 0.434047i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.869453 | − | 0.405432i | −0.0896772 | − | 0.0418172i | ||||
\(95\) | 18.0360 | + | 15.1340i | 1.85046 | + | 1.55272i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.41394 | − | 1.18271i | −0.448168 | − | 0.120086i | 0.0276742 | − | 0.999617i | \(-0.491190\pi\) |
−0.475842 | + | 0.879531i | \(0.657857\pi\) | |||||||
\(98\) | −8.63189 | + | 4.02512i | −0.871953 | + | 0.406598i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.85623 | + | 6.67918i | −0.385623 | + | 0.667918i | ||||
\(101\) | −0.0461206 | − | 0.0798833i | −0.00458917 | − | 0.00794868i | 0.863722 | − | 0.503969i | \(-0.168127\pi\) |
−0.868311 | + | 0.496020i | \(0.834794\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.68882 | + | 1.52431i | −0.560536 | + | 0.150195i | −0.527952 | − | 0.849274i | \(-0.677040\pi\) |
−0.0325833 | + | 0.999469i | \(0.510373\pi\) | |||||||
\(104\) | 1.25500 | − | 1.05307i | 0.123062 | − | 0.103262i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.4523 | − | 1.00195i | −1.11235 | − | 0.0973176i | ||||
\(107\) | −1.35290 | + | 3.71707i | −0.130790 | + | 0.359343i | −0.987751 | − | 0.156039i | \(-0.950128\pi\) |
0.856961 | + | 0.515382i | \(0.172350\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.72339 | + | 6.74570i | 0.452419 | + | 0.646121i | 0.978966 | − | 0.204025i | \(-0.0654024\pi\) |
−0.526547 | + | 0.850146i | \(0.676514\pi\) | |||||||
\(110\) | 0.0120220 | 0.00114625 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.06500 | −0.384107 | ||||||||
\(113\) | 3.97766 | + | 5.68069i | 0.374187 | + | 0.534395i | 0.961442 | − | 0.275007i | \(-0.0886803\pi\) |
−0.587255 | + | 0.809402i | \(0.699791\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.85128 | + | 24.3187i | −0.825386 | + | 2.26773i | ||||
\(116\) | −1.73835 | − | 0.152086i | −0.161402 | − | 0.0141208i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.07174 | − | 6.77299i | 0.743064 | − | 0.623505i | ||||
\(119\) | −29.1152 | + | 7.80141i | −2.66899 | + | 0.715154i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.49999 | + | 9.52627i | 0.499999 | + | 0.866025i | ||||
\(122\) | −5.51825 | + | 9.55788i | −0.499599 | + | 0.865330i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 8.13126 | − | 3.79167i | 0.730209 | − | 0.340502i | ||||
\(125\) | 9.34158 | + | 2.50307i | 0.835537 | + | 0.223881i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.05515 | + | 1.72448i | 0.182365 | + | 0.153023i | 0.729400 | − | 0.684087i | \(-0.239799\pi\) |
−0.547035 | + | 0.837110i | \(0.684244\pi\) | |||||||
\(128\) | −0.906308 | − | 0.422618i | −0.0801070 | − | 0.0373545i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.78484 | − | 3.35038i | −0.419658 | − | 0.293848i | ||||
\(131\) | −3.38409 | + | 7.25720i | −0.295669 | + | 0.634064i | −0.996884 | − | 0.0788860i | \(-0.974864\pi\) |
0.701215 | + | 0.712950i | \(0.252641\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 26.7410 | − | 2.33953i | 2.31874 | − | 0.202863i | ||||
\(134\) | 2.75539 | − | 10.2833i | 0.238030 | − | 0.888338i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.30243 | − | 1.28762i | −0.626178 | − | 0.110412i | ||||
\(137\) | 10.6929 | + | 6.17353i | 0.913553 | + | 0.527440i | 0.881573 | − | 0.472049i | \(-0.156485\pi\) |
0.0319803 | + | 0.999489i | \(0.489819\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.0881489 | + | 0.242187i | 0.00747669 | + | 0.0205420i | 0.943375 | − | 0.331729i | \(-0.107632\pi\) |
−0.935898 | + | 0.352271i | \(0.885410\pi\) | |||||||
\(140\) | 3.75121 | + | 13.9997i | 0.317035 | + | 1.18319i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.71269 | + | 4.71269i | 0.395480 | + | 0.395480i | ||||
\(143\) | −0.000481444 | 0.00550293i | −4.02604e−5 | 0.000460178i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.08038 | + | 6.12716i | 0.0897210 | + | 0.508833i | ||||
\(146\) | −0.852433 | + | 0.596880i | −0.0705479 | + | 0.0493982i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.14693 | + | 5.20546i | −0.258676 | + | 0.427886i | ||||
\(149\) | − | 23.0030i | − | 1.88448i | −0.334937 | − | 0.942241i | \(-0.608715\pi\) | ||
0.334937 | − | 0.942241i | \(-0.391285\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.17838 | + | 1.61840i | −0.746926 | + | 0.131703i | −0.534141 | − | 0.845396i | \(-0.679365\pi\) |
−0.212786 | + | 0.977099i | \(0.568254\pi\) | |||||||
\(152\) | 6.20524 | + | 2.25852i | 0.503311 | + | 0.183190i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.00969187 | − | 0.00969187i | 0.000780993 | − | 0.000780993i | ||||
\(155\) | −20.5620 | − | 24.5048i | −1.65158 | − | 1.96827i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −16.4279 | + | 5.97928i | −1.31109 | + | 0.477198i | −0.900593 | − | 0.434663i | \(-0.856867\pi\) |
−0.410498 | + | 0.911861i | \(0.634645\pi\) | |||||||
\(158\) | −4.79726 | + | 2.76970i | −0.381649 | + | 0.220345i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.619134 | + | 3.51129i | −0.0489469 | + | 0.277591i | ||||
\(161\) | 12.4695 | + | 26.7409i | 0.982733 | + | 2.10748i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.0228049 | + | 0.260661i | 0.00178622 | + | 0.0204166i | 0.997036 | − | 0.0769429i | \(-0.0245159\pi\) |
−0.995249 | + | 0.0973595i | \(0.968960\pi\) | |||||||
\(164\) | 5.53801 | − | 6.59994i | 0.432446 | − | 0.515369i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.04599 | + | 1.49383i | −0.0811845 | + | 0.115943i | ||||
\(167\) | 2.85957 | − | 4.08389i | 0.221280 | − | 0.316021i | −0.693128 | − | 0.720815i | \(-0.743768\pi\) |
0.914408 | + | 0.404794i | \(0.132657\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.63102 | + | 7.90254i | −0.510079 | + | 0.607888i | ||||
\(170\) | 2.30423 | + | 26.3375i | 0.176727 | + | 2.01999i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.34730 | − | 5.03380i | −0.178980 | − | 0.383823i | ||||
\(173\) | −0.740764 | + | 4.20108i | −0.0563192 | + | 0.319402i | −0.999932 | − | 0.0116486i | \(-0.996292\pi\) |
0.943613 | + | 0.331051i | \(0.107403\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 27.1509 | − | 15.6756i | 2.05241 | − | 1.18496i | ||||
\(176\) | 0.00316846 | − | 0.00115322i | 0.000238831 | − | 8.69275e-5i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.37874 | − | 2.83488i | −0.178294 | − | 0.212483i | ||||
\(179\) | −1.93041 | + | 1.93041i | −0.144286 | + | 0.144286i | −0.775560 | − | 0.631274i | \(-0.782532\pi\) |
0.631274 | + | 0.775560i | \(0.282532\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.04931 | − | 2.56574i | −0.523971 | − | 0.190710i | 0.0664735 | − | 0.997788i | \(-0.478825\pi\) |
−0.590444 | + | 0.807078i | \(0.701047\pi\) | |||||||
\(182\) | −6.55844 | + | 1.15643i | −0.486144 | + | 0.0857203i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.25838i | 0.535095i | ||||||||
\(185\) | 20.8314 | + | 6.03427i | 1.53156 | + | 0.443648i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.0204806 | − | 0.0143407i | 0.00149769 | − | 0.00104869i | ||||
\(188\) | 0.166587 | + | 0.944760i | 0.0121496 | + | 0.0689037i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.05203 | − | 23.4548i | 0.148870 | − | 1.70159i | ||||
\(191\) | −11.6275 | − | 11.6275i | −0.841335 | − | 0.841335i | 0.147697 | − | 0.989033i | \(-0.452814\pi\) |
−0.989033 | + | 0.147697i | \(0.952814\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.356593 | − | 1.33082i | −0.0256681 | − | 0.0957946i | 0.951904 | − | 0.306398i | \(-0.0991238\pi\) |
−0.977572 | + | 0.210603i | \(0.932457\pi\) | |||||||
\(194\) | 1.56291 | + | 4.29406i | 0.112211 | + | 0.308296i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.24823 | + | 4.76212i | 0.589160 | + | 0.340151i | ||||
\(197\) | 11.8613 | + | 2.09147i | 0.845084 | + | 0.149011i | 0.579394 | − | 0.815047i | \(-0.303289\pi\) |
0.265690 | + | 0.964059i | \(0.414400\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.62271 | + | 13.5201i | −0.256807 | + | 0.958418i | 0.710269 | + | 0.703931i | \(0.248573\pi\) |
−0.967076 | + | 0.254487i | \(0.918093\pi\) | |||||||
\(200\) | 7.68310 | − | 0.672184i | 0.543277 | − | 0.0475306i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.0389828 | + | 0.0835990i | −0.00274282 | + | 0.00588200i | ||||
\(203\) | 5.81057 | + | 4.06860i | 0.407822 | + | 0.285560i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −27.8405 | − | 12.9822i | −1.94446 | − | 0.906717i | ||||
\(206\) | 4.51162 | + | 3.78570i | 0.314339 | + | 0.263762i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.58246 | − | 0.424018i | −0.109724 | − | 0.0294004i | ||||
\(209\) | −0.0201795 | + | 0.00940985i | −0.00139584 | + | 0.000650893i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.0144 | + | 17.3454i | −0.689418 | + | 1.19411i | 0.282609 | + | 0.959235i | \(0.408800\pi\) |
−0.972026 | + | 0.234871i | \(0.924533\pi\) | |||||||
\(212\) | 5.74802 | + | 9.95586i | 0.394776 | + | 0.683771i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.82084 | − | 1.02379i | 0.261187 | − | 0.0699850i | ||||
\(215\) | −15.1701 | + | 12.7292i | −1.03459 | + | 0.868126i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −36.3318 | − | 3.17862i | −2.46636 | − | 0.215779i | ||||
\(218\) | 2.81653 | − | 7.73835i | 0.190759 | − | 0.524107i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.00689553 | − | 0.00984784i | −0.000464897 | − | 0.000663941i | ||||
\(221\) | −12.1480 | −0.817162 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.17196 | 0.279375 | 0.139688 | − | 0.990196i | \(-0.455390\pi\) | ||||
0.139688 | + | 0.990196i | \(0.455390\pi\) | |||||||
\(224\) | 2.33159 | + | 3.32985i | 0.155786 | + | 0.222485i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.37186 | − | 6.51662i | 0.157774 | − | 0.433479i | ||||
\(227\) | 1.71222 | + | 0.149800i | 0.113644 | + | 0.00994255i | 0.143836 | − | 0.989602i | \(-0.454056\pi\) |
−0.0301919 | + | 0.999544i | \(0.509612\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.07852 | − | 0.904984i | 0.0712705 | − | 0.0598030i | −0.606457 | − | 0.795117i | \(-0.707410\pi\) |
0.677727 | + | 0.735314i | \(0.262965\pi\) | |||||||
\(230\) | 24.9976 | − | 6.69808i | 1.64829 | − | 0.441659i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.872496 | + | 1.51121i | 0.0572821 | + | 0.0992156i | ||||
\(233\) | −8.03419 | + | 13.9156i | −0.526337 | + | 0.911643i | 0.473192 | + | 0.880959i | \(0.343102\pi\) |
−0.999529 | + | 0.0306833i | \(0.990232\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.09999 | − | 1.44555i | 0.202221 | − | 0.0942973i | ||||
\(236\) | −10.1779 | − | 2.72715i | −0.662523 | − | 0.177522i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 23.0904 | + | 19.3751i | 1.49673 | + | 1.25590i | ||||
\(239\) | −15.8497 | − | 7.39083i | −1.02523 | − | 0.478073i | −0.164093 | − | 0.986445i | \(-0.552470\pi\) |
−0.861138 | + | 0.508372i | \(0.830248\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −21.6237 | − | 15.1410i | −1.39290 | − | 0.975321i | −0.998407 | − | 0.0564229i | \(-0.982030\pi\) |
−0.394495 | − | 0.918898i | \(-0.629081\pi\) | |||||||
\(242\) | 4.64880 | − | 9.96938i | 0.298836 | − | 0.640856i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 10.9945 | − | 0.961894i | 0.703850 | − | 0.0615789i | ||||
\(245\) | 8.78904 | − | 32.8011i | 0.561511 | − | 2.09559i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.6540 | + | 1.87859i | 0.677897 | + | 0.119532i | ||||
\(248\) | −7.76985 | − | 4.48593i | −0.493386 | − | 0.284857i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.30772 | − | 9.08788i | −0.209198 | − | 0.574768i | ||||
\(251\) | 3.07617 | + | 11.4804i | 0.194166 | + | 0.724639i | 0.992481 | + | 0.122398i | \(0.0390585\pi\) |
−0.798315 | + | 0.602240i | \(0.794275\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0173056 | − | 0.0173056i | −0.00108799 | − | 0.00108799i | ||||
\(254\) | 0.233823 | − | 2.67260i | 0.0146713 | − | 0.167694i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −10.8686 | + | 7.61028i | −0.677965 | + | 0.474716i | −0.861142 | − | 0.508364i | \(-0.830251\pi\) |
0.183178 | + | 0.983080i | \(0.441362\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 21.6585 | − | 11.9291i | 1.34580 | − | 0.741241i | ||||
\(260\) | 5.84121i | 0.362257i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.88578 | − | 1.39048i | 0.487185 | − | 0.0859039i | ||||
\(263\) | −15.0672 | − | 5.48401i | −0.929084 | − | 0.338159i | −0.167237 | − | 0.985917i | \(-0.553485\pi\) |
−0.761846 | + | 0.647758i | \(0.775707\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 28.9833 | − | 28.9833i | 1.78043 | − | 1.78043i | ||||
\(266\) | −17.2544 | − | 20.5630i | −1.05794 | − | 1.26080i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.0040 | + | 3.64115i | −0.611090 | + | 0.222419i | ||||
\(269\) | 14.7079 | − | 8.49160i | 0.896755 | − | 0.517742i | 0.0206093 | − | 0.999788i | \(-0.493439\pi\) |
0.876146 | + | 0.482046i | \(0.160106\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.31338 | − | 30.1337i | 0.322765 | − | 1.83049i | −0.202173 | − | 0.979350i | \(-0.564800\pi\) |
0.524938 | − | 0.851141i | \(-0.324089\pi\) | |||||||
\(272\) | 3.13375 | + | 6.72035i | 0.190011 | + | 0.407481i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.07612 | − | 12.3001i | −0.0650106 | − | 0.743074i | ||||
\(275\) | −0.0167156 | + | 0.0199209i | −0.00100799 | + | 0.00120127i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.89228 | + | 8.41505i | −0.354033 | + | 0.505611i | −0.956182 | − | 0.292772i | \(-0.905422\pi\) |
0.602149 | + | 0.798383i | \(0.294311\pi\) | |||||||
\(278\) | 0.147828 | − | 0.211120i | 0.00886613 | − | 0.0126622i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.31629 | − | 11.1027i | 0.556755 | − | 0.663514i | ||||
\(281\) | −1.42594 | − | 16.2985i | −0.0850643 | − | 0.972289i | −0.912053 | − | 0.410071i | \(-0.865504\pi\) |
0.826989 | − | 0.562218i | \(-0.190052\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.0051 | + | 25.7450i | 0.713629 | + | 1.53038i | 0.842485 | + | 0.538719i | \(0.181092\pi\) |
−0.128856 | + | 0.991663i | \(0.541131\pi\) | |||||||
\(284\) | 1.15732 | − | 6.56350i | 0.0686745 | − | 0.389472i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.00478389 | − | 0.00276198i | 0.000282877 | − | 0.000163319i | ||||
\(287\) | −32.9104 | + | 11.9784i | −1.94264 | + | 0.707062i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 24.4153 | + | 29.0970i | 1.43619 | + | 1.71159i | ||||
\(290\) | 4.39939 | − | 4.39939i | 0.258341 | − | 0.258341i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.977871 | + | 0.355916i | 0.0572256 | + | 0.0208284i | ||||
\(293\) | −10.9385 | + | 1.92874i | −0.639031 | + | 0.112678i | −0.483770 | − | 0.875195i | \(-0.660733\pi\) |
−0.155261 | + | 0.987873i | \(0.549622\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 37.5688i | 2.18734i | ||||||||
\(296\) | 6.06907 | − | 0.407916i | 0.352757 | − | 0.0237097i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.8430 | + | 13.1940i | −1.09154 | + | 0.764307i | ||||
\(299\) | 2.06490 | + | 11.7106i | 0.119416 | + | 0.677242i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.96778 | + | 22.4918i | −0.113421 | + | 1.29641i | ||||
\(302\) | 6.59022 | + | 6.59022i | 0.379224 | + | 0.379224i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.70910 | − | 6.37847i | −0.0980239 | − | 0.365830i | ||||
\(305\) | −13.4585 | − | 36.9770i | −0.770633 | − | 2.11730i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.3461 | − | 6.55069i | −0.647558 | − | 0.373868i | 0.139962 | − | 0.990157i | \(-0.455302\pi\) |
−0.787520 | + | 0.616289i | \(0.788635\pi\) | |||||||
\(308\) | −0.0134981 | − | 0.00238009i | −0.000769128 | − | 0.000135618i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −8.27929 | + | 30.8987i | −0.470232 | + | 1.75493i | ||||
\(311\) | 27.8046 | − | 2.43259i | 1.57665 | − | 0.137939i | 0.735041 | − | 0.678022i | \(-0.237163\pi\) |
0.841612 | + | 0.540083i | \(0.181607\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.37961 | − | 5.10310i | 0.134504 | − | 0.288444i | −0.827507 | − | 0.561455i | \(-0.810242\pi\) |
0.962011 | + | 0.273011i | \(0.0880195\pi\) | |||||||
\(314\) | 14.3206 | + | 10.0274i | 0.808159 | + | 0.565879i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.02040 | + | 2.34105i | 0.282419 | + | 0.131694i | ||||
\(317\) | −5.45144 | − | 4.57430i | −0.306183 | − | 0.256918i | 0.476729 | − | 0.879050i | \(-0.341822\pi\) |
−0.782912 | + | 0.622132i | \(0.786267\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.00568328 | − | 0.00152283i | −0.000318202 | − | 8.52621e-5i | ||||
\(320\) | 3.23140 | − | 1.50683i | 0.180641 | − | 0.0842341i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 14.7527 | − | 25.5524i | 0.822134 | − | 1.42398i | ||||
\(323\) | −24.4826 | − | 42.4052i | −1.36225 | − | 2.35949i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.2046 | − | 3.27022i | 0.676991 | − | 0.181399i | ||||
\(326\) | 0.200441 | − | 0.168190i | 0.0111014 | − | 0.00931518i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.58282 | − | 0.750900i | −0.473907 | − | 0.0414615i | ||||
\(329\) | 1.33378 | − | 3.66452i | 0.0735334 | − | 0.202031i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.76390 | − | 3.94725i | −0.151917 | − | 0.216961i | 0.735979 | − | 0.677005i | \(-0.236722\pi\) |
−0.887896 | + | 0.460044i | \(0.847834\pi\) | |||||||
\(332\) | 1.82363 | 0.100084 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.98551 | −0.272795 | ||||||||
\(335\) | 21.7717 | + | 31.0933i | 1.18952 | + | 1.69881i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.14958 | − | 22.3908i | 0.443936 | − | 1.21970i | −0.492947 | − | 0.870059i | \(-0.664080\pi\) |
0.936883 | − | 0.349644i | \(-0.113697\pi\) | |||||||
\(338\) | 10.2768 | + | 0.899102i | 0.558983 | + | 0.0489047i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 20.2528 | − | 16.9941i | 1.09836 | − | 0.921634i | ||||
\(341\) | 0.0292205 | − | 0.00782961i | 0.00158238 | − | 0.000423997i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.13052 | − | 8.88633i | −0.277022 | − | 0.479817i | ||||
\(344\) | −2.77709 | + | 4.81006i | −0.149731 | + | 0.259341i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.86621 | − | 1.80284i | 0.207849 | − | 0.0969214i | ||||
\(347\) | 3.72691 | + | 0.998623i | 0.200071 | + | 0.0536089i | 0.357463 | − | 0.933927i | \(-0.383642\pi\) |
−0.157392 | + | 0.987536i | \(0.550309\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −19.7307 | − | 16.5560i | −1.05616 | − | 0.886222i | −0.0624303 | − | 0.998049i | \(-0.519885\pi\) |
−0.993728 | + | 0.111828i | \(0.964330\pi\) | |||||||
\(350\) | −28.4138 | − | 13.2496i | −1.51878 | − | 0.708219i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.00276202 | − | 0.00193399i | −0.000147216 | − | 0.000103082i | ||||
\(353\) | 7.25723 | − | 15.5632i | 0.386263 | − | 0.828344i | −0.613004 | − | 0.790080i | \(-0.710039\pi\) |
0.999268 | − | 0.0382648i | \(-0.0121830\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −23.6724 | + | 2.07107i | −1.25640 | + | 0.109921i | ||||
\(356\) | −0.957804 | + | 3.57457i | −0.0507635 | + | 0.189452i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.68854 | + | 0.474062i | 0.142094 | + | 0.0250550i | ||||
\(359\) | −2.17060 | − | 1.25319i | −0.114560 | − | 0.0661411i | 0.441625 | − | 0.897200i | \(-0.354402\pi\) |
−0.556185 | + | 0.831059i | \(0.687735\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.41570 | + | 23.1219i | 0.442932 | + | 1.21694i | ||||
\(362\) | 1.94159 | + | 7.24610i | 0.102048 | + | 0.380847i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.70906 | + | 4.70906i | 0.246822 | + | 0.246822i | ||||
\(365\) | 0.323375 | − | 3.69619i | 0.0169262 | − | 0.193468i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.37470 | + | 19.1389i | 0.176158 | + | 0.999042i | 0.936799 | + | 0.349869i | \(0.113774\pi\) |
−0.760641 | + | 0.649173i | \(0.775115\pi\) | |||||||
\(368\) | 5.94572 | − | 4.16324i | 0.309942 | − | 0.217024i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −7.00543 | − | 20.5252i | −0.364195 | − | 1.06706i | ||||
\(371\) | − | 46.7314i | − | 2.42617i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.8587 | − | 5.26489i | 1.54602 | − | 0.272606i | 0.665424 | − | 0.746466i | \(-0.268251\pi\) |
0.880600 | + | 0.473860i | \(0.157140\pi\) | |||||||
\(374\) | −0.0234944 | − | 0.00855125i | −0.00121486 | − | 0.000442174i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.678352 | − | 0.678352i | 0.0349833 | − | 0.0349833i | ||||
\(377\) | 1.83759 | + | 2.18996i | 0.0946408 | + | 0.112788i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.8713 | − | 5.77669i | 0.815256 | − | 0.296729i | 0.0994628 | − | 0.995041i | \(-0.468288\pi\) |
0.715793 | + | 0.698312i | \(0.246065\pi\) | |||||||
\(380\) | −20.3900 | + | 11.7722i | −1.04599 | + | 0.603900i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.85543 | + | 16.1939i | −0.146096 | + | 0.828554i | ||||
\(383\) | 7.62907 | + | 16.3606i | 0.389827 | + | 0.835987i | 0.999075 | + | 0.0430070i | \(0.0136938\pi\) |
−0.609248 | + | 0.792980i | \(0.708528\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.00425925 | + | 0.0486835i | 0.000217072 | + | 0.00248114i | ||||
\(386\) | −0.885612 | + | 1.05543i | −0.0450765 | + | 0.0537200i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.62104 | − | 3.74324i | 0.133063 | − | 0.190034i | ||||
\(389\) | 0.139444 | − | 0.199146i | 0.00707008 | − | 0.0100971i | −0.815601 | − | 0.578614i | \(-0.803594\pi\) |
0.822672 | + | 0.568517i | \(0.192483\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 34.5958 | − | 41.2296i | 1.74958 | − | 2.08507i | ||||
\(392\) | −0.830092 | − | 9.48800i | −0.0419260 | − | 0.479216i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.09014 | − | 10.9158i | −0.256438 | − | 0.549932i | ||||
\(395\) | 3.42963 | − | 19.4504i | 0.172563 | − | 0.978656i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −23.1979 | + | 13.3933i | −1.16427 | + | 0.672192i | −0.952324 | − | 0.305089i | \(-0.901314\pi\) |
−0.211947 | + | 0.977281i | \(0.567980\pi\) | |||||||
\(398\) | 13.1530 | − | 4.78729i | 0.659298 | − | 0.239965i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.95747 | − | 5.90808i | −0.247873 | − | 0.295404i | ||||
\(401\) | 17.9021 | − | 17.9021i | 0.893988 | − | 0.893988i | −0.100907 | − | 0.994896i | \(-0.532175\pi\) |
0.994896 | + | 0.100907i | \(0.0321746\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.8120 | − | 5.02715i | −0.688024 | − | 0.250420i | ||||
\(404\) | 0.0908399 | − | 0.0160175i | 0.00451945 | − | 0.000796902i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 7.09339i | − | 0.352039i | ||||||
\(407\) | −0.0134974 | + | 0.0154426i | −0.000669044 | + | 0.000765460i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.61293 | + | 1.82960i | −0.129201 | + | 0.0904677i | −0.636391 | − | 0.771367i | \(-0.719573\pi\) |
0.507189 | + | 0.861835i | \(0.330684\pi\) | |||||||
\(410\) | 5.33422 | + | 30.2519i | 0.263438 | + | 1.49403i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.513303 | − | 5.86708i | 0.0252886 | − | 0.289051i | ||||
\(413\) | 30.2872 | + | 30.2872i | 1.49034 | + | 1.49034i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.68285 | − | 6.28050i | −0.0826081 | − | 0.308298i | ||||
\(416\) | 0.560325 | + | 1.53948i | 0.0274722 | + | 0.0754792i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0192826 | + | 0.0111328i | 0.000943141 | + | 0.000544523i | ||||
\(419\) | −18.2736 | − | 3.22213i | −0.892724 | − | 0.157411i | −0.291575 | − | 0.956548i | \(-0.594179\pi\) |
−0.601149 | + | 0.799137i | \(0.705290\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.33743 | + | 16.1875i | −0.211393 | + | 0.788931i | 0.776012 | + | 0.630719i | \(0.217240\pi\) |
−0.987405 | + | 0.158213i | \(0.949427\pi\) | |||||||
\(422\) | 19.9525 | − | 1.74562i | 0.971274 | − | 0.0849755i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.85844 | − | 10.4189i | 0.235947 | − | 0.505989i | ||||
\(425\) | −46.8460 | − | 32.8019i | −2.27237 | − | 1.59113i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −40.6600 | − | 18.9601i | −1.96768 | − | 0.917542i | ||||
\(428\) | −3.03019 | − | 2.54263i | −0.146470 | − | 0.122903i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 19.1284 | + | 5.12544i | 0.922453 | + | 0.247170i | ||||
\(431\) | 33.5757 | − | 15.6566i | 1.61728 | − | 0.754151i | 0.617801 | − | 0.786335i | \(-0.288024\pi\) |
0.999482 | + | 0.0321834i | \(0.0102461\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.479628 | + | 0.830741i | −0.0230495 | + | 0.0399228i | −0.877320 | − | 0.479906i | \(-0.840671\pi\) |
0.854271 | + | 0.519829i | \(0.174004\pi\) | |||||||
\(434\) | 18.2353 | + | 31.5845i | 0.875322 | + | 1.51610i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.95438 | + | 2.13137i | −0.380946 | + | 0.102074i | ||||
\(437\) | −36.7169 | + | 30.8091i | −1.75641 | + | 1.47380i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 39.3504 | + | 3.44272i | 1.87809 | + | 0.164312i | 0.968142 | − | 0.250402i | \(-0.0805627\pi\) |
0.909952 | + | 0.414714i | \(0.136118\pi\) | |||||||
\(440\) | −0.00411176 | + | 0.0112970i | −0.000196021 | + | 0.000538562i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.96780 | + | 9.95104i | 0.331424 | + | 0.473323i | ||||
\(443\) | 3.29403 | 0.156504 | 0.0782521 | − | 0.996934i | \(-0.475066\pi\) | ||||
0.0782521 | + | 0.996934i | \(0.475066\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 13.1946 | 0.625482 | ||||||||
\(446\) | −2.39294 | − | 3.41747i | −0.113309 | − | 0.161822i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.39031 | − | 3.81985i | 0.0656861 | − | 0.180471i | ||||
\(449\) | 0.829579 | + | 0.0725787i | 0.0391502 | + | 0.00342520i | 0.106714 | − | 0.994290i | \(-0.465967\pi\) |
−0.0675638 | + | 0.997715i | \(0.521523\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.0222537 | − | 0.0186731i | 0.00104788 | − | 0.000879280i | ||||
\(452\) | −6.69855 | + | 1.79487i | −0.315073 | + | 0.0844236i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.859379 | − | 1.48849i | −0.0403326 | − | 0.0698582i | ||||
\(455\) | 11.8723 | − | 20.5634i | 0.556581 | − | 0.964026i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.4986 | + | 8.15973i | −0.818550 | + | 0.381696i | −0.786347 | − | 0.617785i | \(-0.788030\pi\) |
−0.0322033 | + | 0.999481i | \(0.510252\pi\) | |||||||
\(458\) | −1.35993 | − | 0.364393i | −0.0635454 | − | 0.0170269i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −19.8248 | − | 16.6350i | −0.924335 | − | 0.775609i | ||||
\(461\) | 3.95034 | + | 1.84208i | 0.183986 | + | 0.0857940i | 0.512428 | − | 0.858730i | \(-0.328746\pi\) |
−0.328443 | + | 0.944524i | \(0.606524\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.22242 | − | 1.55616i | −0.103285 | − | 0.0723207i | 0.520793 | − | 0.853683i | \(-0.325636\pi\) |
−0.624078 | + | 0.781362i | \(0.714525\pi\) | |||||||
\(464\) | 0.737465 | − | 1.58150i | 0.0342360 | − | 0.0734192i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 16.0072 | − | 1.40045i | 0.741521 | − | 0.0648746i | ||||
\(467\) | −3.57825 | + | 13.3542i | −0.165582 | + | 0.617960i | 0.832383 | + | 0.554200i | \(0.186976\pi\) |
−0.997965 | + | 0.0637597i | \(0.979691\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 42.6186 | + | 7.51481i | 1.96794 | + | 0.347002i | ||||
\(470\) | −2.96221 | − | 1.71023i | −0.136636 | − | 0.0788871i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.60383 | + | 9.90145i | 0.165880 | + | 0.455751i | ||||
\(473\) | −0.00484705 | − | 0.0180895i | −0.000222868 | − | 0.000831754i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 36.0122 | + | 36.0122i | 1.65235 | + | 1.65235i | ||||
\(476\) | 2.62708 | − | 30.0276i | 0.120412 | − | 1.37631i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.03679 | + | 17.2225i | 0.138900 | + | 0.787739i | ||||
\(479\) | −10.1001 | + | 7.07219i | −0.461487 | + | 0.323137i | −0.781094 | − | 0.624414i | \(-0.785338\pi\) |
0.319607 | + | 0.947550i | \(0.396449\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.67574 | − | 2.38468i | 0.441176 | − | 0.108732i | ||||
\(482\) | 26.3976i | 1.20238i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.8329 | + | 1.91013i | −0.492403 | + | 0.0868240i | ||||
\(485\) | −15.3103 | − | 5.57249i | −0.695204 | − | 0.253034i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.8450 | + | 15.8450i | −0.718004 | + | 0.718004i | −0.968196 | − | 0.250192i | \(-0.919506\pi\) |
0.250192 | + | 0.968196i | \(0.419506\pi\) | |||||||
\(488\) | −7.09412 | − | 8.45444i | −0.321136 | − | 0.382715i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −31.9103 | + | 11.6144i | −1.44156 | + | 0.524685i | ||||
\(491\) | 8.29151 | − | 4.78711i | 0.374191 | − | 0.216039i | −0.301097 | − | 0.953594i | \(-0.597353\pi\) |
0.675288 | + | 0.737554i | \(0.264019\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.24688 | − | 12.7427i | 0.101194 | − | 0.573901i | ||||
\(494\) | −4.57203 | − | 9.80475i | −0.205705 | − | 0.441136i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.781949 | + | 8.93771i | 0.0351105 | + | 0.401315i | ||||
\(497\) | −17.4146 | + | 20.7539i | −0.781150 | + | 0.930938i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.406534 | − | 0.580591i | 0.0181990 | − | 0.0259908i | −0.809949 | − | 0.586500i | \(-0.800506\pi\) |
0.828148 | + | 0.560509i | \(0.189394\pi\) | |||||||
\(500\) | −5.54713 | + | 7.92212i | −0.248075 | + | 0.354288i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.63980 | − | 9.10476i | 0.340981 | − | 0.406365i | ||||
\(503\) | 3.83320 | + | 43.8137i | 0.170914 | + | 1.95356i | 0.281180 | + | 0.959655i | \(0.409274\pi\) |
−0.110265 | + | 0.993902i | \(0.535170\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.138991 | − | 0.298068i | −0.00618504 | − | 0.0132639i | ||||
\(506\) | −0.00424983 | + | 0.0241020i | −0.000188928 | + | 0.00107146i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.32338 | + | 1.34141i | −0.103084 | + | 0.0595153i | ||||
\(509\) | 17.9519 | − | 6.53396i | 0.795704 | − | 0.289613i | 0.0879988 | − | 0.996121i | \(-0.471953\pi\) |
0.707705 | + | 0.706508i | \(0.249731\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.71909 | − | 3.24049i | −0.120286 | − | 0.143351i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.4679 | + | 4.53796i | 0.549938 | + | 0.200161i | ||||
\(515\) | −20.6797 | + | 3.64639i | −0.911257 | + | 0.160679i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.00323469i | 0.000142261i | ||||||||
\(518\) | −22.1946 | − | 10.8994i | −0.975175 | − | 0.478891i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.78484 | − | 3.35038i | 0.209829 | − | 0.146924i | ||||
\(521\) | −0.512479 | − | 2.90642i | −0.0224521 | − | 0.127332i | 0.971522 | − | 0.236951i | \(-0.0761481\pi\) |
−0.993974 | + | 0.109619i | \(0.965037\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.994982 | + | 11.3727i | −0.0435075 | + | 0.497293i | 0.942911 | + | 0.333044i | \(0.108076\pi\) |
−0.986419 | + | 0.164249i | \(0.947480\pi\) | |||||||
\(524\) | −5.66211 | − | 5.66211i | −0.247350 | − | 0.247350i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.14995 | + | 15.4878i | 0.180947 | + | 0.675302i | ||||
\(527\) | 22.7536 | + | 62.5149i | 0.991161 | + | 2.72319i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −25.7072 | − | 14.8420i | −1.11770 | − | 0.645306i | ||||
\(530\) | −40.3659 | − | 7.11759i | −1.75338 | − | 0.309168i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −6.94751 | + | 25.9285i | −0.301213 | + | 1.12414i | ||||
\(533\) | −14.0611 | + | 1.23018i | −0.609053 | + | 0.0532852i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.96044 | + | 12.7822i | −0.257692 | + | 0.552623i | ||||
\(536\) | 8.72071 | + | 6.10630i | 0.376677 | + | 0.263752i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.3920 | − | 7.17741i | −0.663596 | − | 0.309440i | ||||
\(539\) | 0.0246006 | + | 0.0206424i | 0.00105962 | + | 0.000889130i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3.33999 | − | 0.894949i | −0.143598 | − | 0.0384769i | 0.186304 | − | 0.982492i | \(-0.440349\pi\) |
−0.329902 | + | 0.944015i | \(0.607016\pi\) | |||||||
\(542\) | −27.7317 | + | 12.9315i | −1.19118 | + | 0.555456i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.70754 | − | 6.42165i | 0.158959 | − | 0.275326i | ||||
\(545\) | 14.6807 | + | 25.4277i | 0.628853 | + | 1.08920i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.10060 | − | 1.90260i | 0.303600 | − | 0.0813493i | −0.103803 | − | 0.994598i | \(-0.533101\pi\) |
0.407403 | + | 0.913249i | \(0.366434\pi\) | |||||||
\(548\) | −9.45839 | + | 7.93653i | −0.404042 | + | 0.339032i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.0259059 | + | 0.00226647i | 0.00110463 | + | 9.66427e-5i | ||||
\(551\) | −3.94110 | + | 10.8281i | −0.167896 | + | 0.461292i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −12.9156 | − | 18.4454i | −0.549227 | − | 0.784377i | ||||
\(554\) | 10.2729 | 0.436453 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.257730 | −0.0109302 | ||||||||
\(557\) | 19.5545 | + | 27.9267i | 0.828551 | + | 1.18329i | 0.980813 | + | 0.194953i | \(0.0624556\pi\) |
−0.152261 | + | 0.988340i | \(0.548656\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.11215 | + | 8.55055i | −0.131630 | + | 0.361650i | ||||
\(560\) | −14.4384 | − | 1.26320i | −0.610135 | − | 0.0533799i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.5331 | + | 10.5165i | −0.528677 | + | 0.443612i | ||||
\(563\) | 10.2691 | − | 2.75160i | 0.432792 | − | 0.115966i | −0.0358445 | − | 0.999357i | \(-0.511412\pi\) |
0.468636 | + | 0.883391i | \(0.344745\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 12.3629 | + | 21.4132i | 0.520113 | + | 0.900861i | ||||
\(566\) | 14.2032 | − | 24.6007i | 0.597007 | − | 1.03405i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.04032 | + | 2.81665i | −0.253446 | + | 0.118184i | ||||
\(569\) | −0.332333 | − | 0.0890483i | −0.0139321 | − | 0.00373310i | 0.251846 | − | 0.967767i | \(-0.418962\pi\) |
−0.265778 | + | 0.964034i | \(0.585629\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.2614 | − | 8.61031i | −0.429425 | − | 0.360330i | 0.402310 | − | 0.915504i | \(-0.368207\pi\) |
−0.831735 | + | 0.555173i | \(0.812652\pi\) | |||||||
\(572\) | −0.00500640 | − | 0.00233452i | −0.000209328 | − | 9.76114e-5i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 28.6887 | + | 20.0881i | 1.19744 | + | 0.838460i | ||||
\(575\) | −23.6581 | + | 50.7350i | −0.986612 | + | 2.11580i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −40.7621 | + | 3.56622i | −1.69695 | + | 0.148464i | −0.894144 | − | 0.447780i | \(-0.852215\pi\) |
−0.802803 | + | 0.596244i | \(0.796659\pi\) | |||||||
\(578\) | 9.83083 | − | 36.6892i | 0.408909 | − | 1.52607i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −6.12716 | − | 1.08038i | −0.254417 | − | 0.0448605i | ||||
\(581\) | −6.41988 | − | 3.70652i | −0.266342 | − | 0.153772i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.0132575 | + | 0.0364247i | 0.000549070 | + | 0.00150856i | ||||
\(584\) | −0.269335 | − | 1.00517i | −0.0111451 | − | 0.0415942i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.85398 | + | 7.85398i | 0.324445 | + | 0.324445i | ||||
\(587\) | −2.45733 | + | 28.0875i | −0.101425 | + | 1.15929i | 0.759481 | + | 0.650529i | \(0.225453\pi\) |
−0.860906 | + | 0.508764i | \(0.830103\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.2879 | − | 58.3453i | −0.423904 | − | 2.40408i | ||||
\(590\) | 30.7746 | − | 21.5486i | 1.26697 | − | 0.887142i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.81522 | − | 4.73752i | −0.156805 | − | 0.194711i | ||||
\(593\) | 0.186078i | 0.00764129i | 0.999993 | + | 0.00382064i | \(0.00121615\pi\) | ||||
−0.999993 | + | 0.00382064i | \(0.998784\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −105.838 | + | 18.6621i | −4.33895 | + | 0.765073i | ||||
\(596\) | 21.6158 | + | 7.86750i | 0.885416 | + | 0.322265i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.40839 | − | 8.40839i | 0.343845 | − | 0.343845i | ||||
\(599\) | −11.0025 | − | 13.1122i | −0.449549 | − | 0.535752i | 0.492907 | − | 0.870082i | \(-0.335934\pi\) |
−0.942456 | + | 0.334330i | \(0.891490\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 36.9239 | − | 13.4392i | 1.50616 | − | 0.548196i | 0.548510 | − | 0.836144i | \(-0.315195\pi\) |
0.957646 | + | 0.287948i | \(0.0929732\pi\) | |||||||
\(602\) | 19.5529 | − | 11.2889i | 0.796917 | − | 0.460100i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.61840 | − | 9.17838i | 0.0658516 | − | 0.373463i | ||||
\(605\) | 16.5751 | + | 35.5453i | 0.673872 | + | 1.44512i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.23605 | − | 25.5581i | −0.0907583 | − | 1.03737i | −0.895890 | − | 0.444276i | \(-0.853461\pi\) |
0.805132 | − | 0.593096i | \(-0.202095\pi\) | |||||||
\(608\) | −4.24463 | + | 5.05855i | −0.172143 | + | 0.205151i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −22.5703 | + | 32.2337i | −0.913844 | + | 1.30510i | ||||
\(611\) | 0.901467 | − | 1.28743i | 0.0364695 | − | 0.0520838i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 25.5060 | − | 30.3968i | 1.03018 | − | 1.22772i | 0.0568284 | − | 0.998384i | \(-0.481901\pi\) |
0.973348 | − | 0.229333i | \(-0.0736543\pi\) | |||||||
\(614\) | 1.14186 | + | 13.0515i | 0.0460818 | + | 0.526717i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.00579256 | + | 0.0124222i | 0.000233389 | + | 0.000500504i | ||||
\(617\) | 5.43974 | − | 30.8503i | 0.218996 | − | 1.24199i | −0.654841 | − | 0.755767i | \(-0.727264\pi\) |
0.873836 | − | 0.486220i | \(-0.161625\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.93017 | + | 1.11439i | −0.0775803 | + | 0.0447910i | −0.538288 | − | 0.842761i | \(-0.680929\pi\) |
0.460708 | + | 0.887552i | \(0.347596\pi\) | |||||||
\(620\) | 30.0596 | − | 10.9408i | 1.20722 | − | 0.439393i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −17.9407 | − | 21.3809i | −0.719357 | − | 0.857296i | ||||
\(623\) | 10.6372 | − | 10.6372i | 0.426169 | − | 0.426169i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.83427 | − | 1.39556i | −0.153371 | − | 0.0558224i | ||||
\(626\) | −5.54510 | + | 0.977751i | −0.221627 | + | 0.0390788i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 17.4822i | − | 0.697617i | ||||||
\(629\) | −36.4183 | − | 26.6101i | −1.45209 | − | 1.06101i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.89783 | − | 5.53012i | 0.314407 | − | 0.220150i | −0.405711 | − | 0.914001i | \(-0.632976\pi\) |
0.720119 | + | 0.693851i | \(0.244087\pi\) | |||||||
\(632\) | −0.961906 | − | 5.45524i | −0.0382626 | − | 0.216998i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.620230 | + | 7.08927i | −0.0246325 | + | 0.281551i | ||||
\(635\) | 6.76379 | + | 6.76379i | 0.268413 | + | 0.268413i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.03845 | − | 15.0717i | −0.160009 | − | 0.597163i | ||||
\(638\) | 0.00201236 | + | 0.00552893i | 7.96703e−5 | + | 0.000218892i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.08777 | − | 1.78273i | −0.122055 | − | 0.0704684i | ||||
\(641\) | 17.6505 | + | 3.11225i | 0.697152 | + | 0.122927i | 0.510983 | − | 0.859591i | \(-0.329282\pi\) |
0.186169 | + | 0.982518i | \(0.440393\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.609877 | − | 2.27609i | 0.0240512 | − | 0.0897603i | −0.952857 | − | 0.303420i | \(-0.901872\pi\) |
0.976908 | + | 0.213659i | \(0.0685383\pi\) | |||||||
\(644\) | −29.3930 | + | 2.57156i | −1.15825 | + | 0.101334i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −20.6936 | + | 44.3776i | −0.814180 | + | 1.74601i | ||||
\(647\) | 0.151597 | + | 0.106150i | 0.00595990 | + | 0.00417317i | 0.576553 | − | 0.817060i | \(-0.304398\pi\) |
−0.570593 | + | 0.821233i | \(0.693286\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.0321996 | − | 0.0150149i | −0.00126395 | − | 0.000589387i | ||||
\(650\) | −9.67909 | − | 8.12172i | −0.379645 | − | 0.318560i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.252741 | − | 0.0677219i | −0.00989812 | − | 0.00265219i | ||||
\(653\) | 10.5738 | − | 4.93064i | 0.413784 | − | 0.192951i | −0.204567 | − | 0.978853i | \(-0.565579\pi\) |
0.618351 | + | 0.785902i | \(0.287801\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.2751 | + | 24.7251i | −0.557773 | + | 0.966091i | ||||
\(656\) | 4.30780 | + | 7.46134i | 0.168192 | + | 0.291316i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.76682 | + | 1.00932i | −0.146846 | + | 0.0393472i | ||||
\(659\) | 27.0265 | − | 22.6779i | 1.05280 | − | 0.883406i | 0.0594169 | − | 0.998233i | \(-0.481076\pi\) |
0.993385 | + | 0.114827i | \(0.0366314\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −24.1453 | − | 2.11244i | −0.939143 | − | 0.0821644i | −0.392706 | − | 0.919664i | \(-0.628461\pi\) |
−0.546438 | + | 0.837500i | \(0.684016\pi\) | |||||||
\(662\) | −1.64809 | + | 4.52810i | −0.0640550 | + | 0.175990i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.04599 | − | 1.49383i | −0.0405922 | − | 0.0579717i | ||||
\(665\) | 95.7079 | 3.71139 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.6658 | −0.490422 | ||||||||
\(668\) | 2.85957 | + | 4.08389i | 0.110640 | + | 0.158010i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 12.9824 | − | 35.6687i | 0.501552 | − | 1.37800i | ||||
\(671\) | 0.0370712 | + | 0.00324331i | 0.00143112 | + | 0.000125207i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.7508 | + | 9.86011i | −0.452961 | + | 0.380079i | −0.840533 | − | 0.541760i | \(-0.817758\pi\) |
0.387572 | + | 0.921839i | \(0.373314\pi\) | |||||||
\(674\) | −23.0159 | + | 6.16708i | −0.886538 | + | 0.237547i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.15802 | − | 8.93395i | −0.198385 | − | 0.343613i | ||||
\(677\) | 0.585639 | − | 1.01436i | 0.0225079 | − | 0.0389849i | −0.854552 | − | 0.519366i | \(-0.826168\pi\) |
0.877060 | + | 0.480381i | \(0.159502\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −16.8352 | + | 7.85040i | −0.646077 | + | 0.301271i | ||||
\(680\) | −25.5373 | − | 6.84269i | −0.979309 | − | 0.262405i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.0231738 | − | 0.0194452i | −0.000887372 | − | 0.000744594i | ||||
\(683\) | 13.0458 | + | 6.08336i | 0.499184 | + | 0.232773i | 0.655868 | − | 0.754876i | \(-0.272303\pi\) |
−0.156684 | + | 0.987649i | \(0.550081\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 36.0614 | + | 25.2505i | 1.37783 | + | 0.964770i | ||||
\(686\) | −4.33651 | + | 9.29967i | −0.165569 | + | 0.355063i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.53304 | − | 0.484079i | 0.210945 | − | 0.0184553i | ||||
\(689\) | 4.87453 | − | 18.1920i | 0.185705 | − | 0.693060i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.9165 | + | 1.92487i | 0.415283 | + | 0.0732257i | 0.377386 | − | 0.926056i | \(-0.376823\pi\) |
0.0378972 | + | 0.999282i | \(0.487934\pi\) | |||||||
\(692\) | −3.69437 | − | 2.13295i | −0.140439 | − | 0.0810824i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.31964 | − | 3.62569i | −0.0500930 | − | 0.137629i | ||||
\(695\) | 0.237835 | + | 0.887613i | 0.00902161 | + | 0.0336691i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 45.1738 | + | 45.1738i | 1.71108 | + | 1.71108i | ||||
\(698\) | −2.24483 | + | 25.6585i | −0.0849681 | + | 0.971190i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.44407 | + | 30.8748i | 0.205766 | + | 1.16696i | ||||
\(701\) | −34.4672 | + | 24.1342i | −1.30181 | + | 0.911536i | −0.999136 | − | 0.0415592i | \(-0.986767\pi\) |
−0.302672 | + | 0.953095i | \(0.597879\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 27.8244 | + | 28.9693i | 1.04942 | + | 1.09260i | ||||
\(704\) | 0.00337180i | 0.000127079i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.9112 | + | 2.98190i | −0.636461 | + | 0.112225i | ||||
\(707\) | −0.352348 | − | 0.128244i | −0.0132514 | − | 0.00482312i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −27.3983 | + | 27.3983i | −1.02896 | + | 1.02896i | −0.0293967 | + | 0.999568i | \(0.509359\pi\) |
−0.999568 | + | 0.0293967i | \(0.990641\pi\) | |||||||
\(710\) | 15.2745 | + | 18.2034i | 0.573241 | + | 0.683162i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.47749 | − | 1.26570i | 0.130325 | − | 0.0474343i | ||||
\(713\) | 56.3965 | − | 32.5606i | 2.11207 | − | 1.21940i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.00342007 | + | 0.0193962i | −0.000127903 | + | 0.000725376i | ||||
\(716\) | −1.15375 | − | 2.47424i | −0.0431178 | − | 0.0924665i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.218446 | + | 2.49685i | 0.00815234 | + | 0.0931817i | ||||
\(719\) | 10.4060 | − | 12.4014i | 0.388079 | − | 0.462495i | −0.536268 | − | 0.844048i | \(-0.680166\pi\) |
0.924347 | + | 0.381553i | \(0.124611\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.7319 | + | 19.6112i | −0.511402 | + | 0.730358i | ||||
\(722\) | 14.1133 | − | 20.1559i | 0.525244 | − | 0.750126i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.82201 | − | 5.74665i | 0.179209 | − | 0.213572i | ||||
\(725\) | 1.17296 | + | 13.4069i | 0.0435625 | + | 0.497921i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.15492 | − | 8.91025i | −0.154097 | − | 0.330463i | 0.814070 | − | 0.580767i | \(-0.197247\pi\) |
−0.968167 | + | 0.250304i | \(0.919469\pi\) | |||||||
\(728\) | 1.15643 | − | 6.55844i | 0.0428601 | − | 0.243072i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.21323 | + | 1.85516i | −0.118927 | + | 0.0686624i | ||||
\(731\) | 38.7009 | − | 14.0860i | 1.43141 | − | 0.520989i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −20.1387 | − | 24.0004i | −0.743840 | − | 0.886474i | 0.252872 | − | 0.967500i | \(-0.418625\pi\) |
−0.996712 | + | 0.0810257i | \(0.974180\pi\) | |||||||
\(734\) | 13.7420 | − | 13.7420i | 0.507227 | − | 0.507227i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.82065 | − | 2.48251i | −0.251412 | − | 0.0915066i | ||||
\(737\) | −0.0353509 | + | 0.00623332i | −0.00130217 | + | 0.000229607i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.78918i | 0.102602i | 0.998683 | + | 0.0513008i | \(0.0163367\pi\) | ||||
−0.998683 | + | 0.0513008i | \(0.983663\pi\) | |||||||
\(740\) | −12.7951 | + | 17.5113i | −0.470358 | + | 0.643728i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −38.2801 | + | 26.8040i | −1.40531 | + | 0.984007i | ||||
\(743\) | −1.20114 | − | 6.81200i | −0.0440655 | − | 0.249908i | 0.954816 | − | 0.297199i | \(-0.0960524\pi\) |
−0.998881 | + | 0.0472908i | \(0.984941\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.14818 | − | 81.7041i | 0.261889 | − | 2.99341i | ||||
\(746\) | −21.4390 | − | 21.4390i | −0.784937 | − | 0.784937i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.00647104 | + | 0.0241502i | 0.000236605 | + | 0.000883020i | ||||
\(749\) | 5.49956 | + | 15.1099i | 0.200950 | + | 0.552104i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 21.0539 | + | 12.1555i | 0.768267 | + | 0.443559i | 0.832256 | − | 0.554391i | \(-0.187049\pi\) |
−0.0639889 | + | 0.997951i | \(0.520382\pi\) | |||||||
\(752\) | −0.944760 | − | 0.166587i | −0.0344519 | − | 0.00607479i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.739908 | − | 2.76137i | 0.0269459 | − | 0.100563i | ||||
\(755\) | −33.1035 | + | 2.89618i | −1.20476 | + | 0.105403i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 18.0944 | − | 38.8035i | 0.657651 | − | 1.41034i | −0.240500 | − | 0.970649i | \(-0.577311\pi\) |
0.898151 | − | 0.439687i | \(-0.144911\pi\) | |||||||
\(758\) | −13.8354 | − | 9.68766i | −0.502525 | − | 0.351872i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 21.3384 | + | 9.95028i | 0.774027 | + | 0.360935i | ||||
\(761\) | −37.5989 | − | 31.5493i | −1.36296 | − | 1.14366i | −0.975056 | − | 0.221960i | \(-0.928755\pi\) |
−0.387905 | − | 0.921700i | \(-0.626801\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 32.3346 | + | 8.66402i | 1.17059 | + | 0.313659i | ||||
\(764\) | 14.9031 | − | 6.94943i | 0.539175 | − | 0.251422i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.02596 | − | 15.6334i | 0.326121 | − | 0.564858i | ||||
\(767\) | 8.63121 | + | 14.9497i | 0.311655 | + | 0.539802i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −4.95709 | + | 1.32825i | −0.178757 | + | 0.0478979i | −0.347087 | − | 0.937833i | \(-0.612829\pi\) |
0.168330 | + | 0.985731i | \(0.446163\pi\) | |||||||
\(770\) | 0.0374362 | − | 0.0314127i | 0.00134911 | − | 0.00113203i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.37253 | + | 0.120080i | 0.0493983 | + | 0.00432179i | ||||
\(773\) | 9.91545 | − | 27.2425i | 0.356634 | − | 0.979844i | −0.623555 | − | 0.781779i | \(-0.714312\pi\) |
0.980189 | − | 0.198064i | \(-0.0634655\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −39.6886 | − | 56.6812i | −1.42566 | − | 2.03605i | ||||
\(776\) | −4.56965 | −0.164041 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.243113 | −0.00871601 | ||||||||
\(779\) | −32.6325 | − | 46.6040i | −1.16918 | − | 1.66976i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.00768595 | − | 0.0211170i | 0.000275025 | − | 0.000755625i | ||||
\(782\) | −53.6167 | − | 4.69085i | −1.91733 | − | 0.167744i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −7.29599 | + | 6.12206i | −0.260571 | + | 0.218645i | ||||
\(785\) | −60.2082 | + | 16.1327i | −2.14892 | + | 0.575802i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −24.6235 | − | 42.6491i | −0.877733 | − | 1.52028i | −0.853823 | − | 0.520563i | \(-0.825722\pi\) |
−0.0239094 | − | 0.999714i | \(-0.507611\pi\) | |||||||
\(788\) | −6.02215 | + | 10.4307i | −0.214530 | + | 0.371577i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −17.9000 | + | 8.34690i | −0.636853 | + | 0.296969i | ||||
\(791\) | 27.2296 | + | 7.29615i | 0.968173 | + | 0.259421i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −13.8508 | − | 11.6222i | −0.491855 | − | 0.412715i | ||||
\(794\) | 24.2770 | + | 11.3205i | 0.861557 | + | 0.401751i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.4657 | − | 8.02840i | −0.406392 | − | 0.284559i | ||||
\(797\) | 1.72872 | − | 3.70724i | 0.0612343 | − | 0.131317i | −0.873309 | − | 0.487166i | \(-0.838031\pi\) |
0.934543 | + | 0.355849i | \(0.115808\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.08648 | + | 0.619986i | −0.250702 | + | 0.0219335i | ||||
\(800\) | −1.99613 | + | 7.44966i | −0.0705738 | + | 0.263385i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −24.9328 | − | 4.39632i | −0.880407 | − | 0.155239i | ||||
\(803\) | 0.00303870 | + | 0.00175440i | 0.000107234 | + | 6.19113e-5i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 35.9805 | + | 98.8555i | 1.26814 | + | 3.48420i | ||||
\(806\) | 3.80423 | + | 14.1976i | 0.133998 | + | 0.500088i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.0652244 | − | 0.0652244i | −0.00229459 | − | 0.00229459i | ||||
\(809\) | −3.49176 | + | 39.9110i | −0.122764 | + | 1.40320i | 0.645841 | + | 0.763472i | \(0.276507\pi\) |
−0.768605 | + | 0.639724i | \(0.779049\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.32859 | + | 24.5486i | 0.151997 | + | 0.862020i | 0.961480 | + | 0.274876i | \(0.0886367\pi\) |
−0.809483 | + | 0.587144i | \(0.800252\pi\) | |||||||
\(812\) | −5.81057 | + | 4.06860i | −0.203911 | + | 0.142780i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.0203916 | + | 0.00219897i | 0.000714727 | + | 7.70737e-5i | ||||
\(815\) | 0.932926i | 0.0326790i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −36.1197 | + | 6.36887i | −1.26367 | + | 0.222819i | ||||
\(818\) | 2.99744 | + | 1.09098i | 0.104803 | + | 0.0381451i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 21.7213 | − | 21.7213i | 0.758540 | − | 0.758540i | ||||
\(821\) | 14.1935 | + | 16.9152i | 0.495358 | + | 0.590344i | 0.954572 | − | 0.297981i | \(-0.0963134\pi\) |
−0.459214 | + | 0.888326i | \(0.651869\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −38.0258 | + | 13.8403i | −1.32550 | + | 0.482441i | −0.905215 | − | 0.424953i | \(-0.860291\pi\) |
−0.420280 | + | 0.907394i | \(0.638068\pi\) | |||||||
\(824\) | −5.10045 | + | 2.94475i | −0.177683 | + | 0.102585i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 7.43779 | − | 42.1818i | 0.258794 | − | 1.46769i | ||||
\(827\) | −16.5722 | − | 35.5392i | −0.576272 | − | 1.23582i | −0.951145 | − | 0.308743i | \(-0.900092\pi\) |
0.374873 | − | 0.927076i | \(-0.377686\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.64448 | + | 30.2265i | 0.0918465 | + | 1.04981i | 0.892610 | + | 0.450829i | \(0.148872\pi\) |
−0.800764 | + | 0.598980i | \(0.795573\pi\) | |||||||
\(830\) | −4.17944 | + | 4.98086i | −0.145070 | + | 0.172888i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.939679 | − | 1.34200i | 0.0325775 | − | 0.0465255i | ||||
\(833\) | −40.5077 | + | 57.8510i | −1.40351 | + | 2.00442i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.4259 | − | 13.6169i | 0.395411 | − | 0.471232i | ||||
\(836\) | −0.00194057 | − | 0.0221809i | −6.71162e−5 | − | 0.000767141i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 7.84190 | + | 16.8170i | 0.270894 | + | 0.580934i | ||||
\(839\) | 8.01310 | − | 45.4445i | 0.276643 | − | 1.56892i | −0.457052 | − | 0.889440i | \(-0.651095\pi\) |
0.733695 | − | 0.679479i | \(-0.237794\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 22.4777 | − | 12.9775i | 0.775093 | − | 0.447500i | ||||
\(842\) | 15.7479 | − | 5.73176i | 0.542708 | − | 0.197530i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.8742 | − | 15.3429i | −0.443149 | − | 0.528125i | ||||
\(845\) | −26.0083 | + | 26.0083i | −0.894714 | + | 0.894714i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 42.0183 | + | 15.2934i | 1.44377 | + | 0.525488i | ||||
\(848\) | −11.3214 | + | 1.99627i | −0.388778 | + | 0.0685521i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 57.1884i | 1.96155i | ||||||||
\(851\) | −19.4617 | + | 39.6302i | −0.667137 | + | 1.35851i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 38.6531 | − | 27.0652i | 1.32346 | − | 0.926695i | 0.323647 | − | 0.946178i | \(-0.395091\pi\) |
0.999810 | + | 0.0194830i | \(0.00620201\pi\) | |||||||
\(854\) | 7.79044 | + | 44.1818i | 0.266583 | + | 1.51187i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.344756 | + | 3.94058i | −0.0117835 | + | 0.134686i | ||||
\(857\) | 19.2624 | + | 19.2624i | 0.657992 | + | 0.657992i | 0.954905 | − | 0.296913i | \(-0.0959571\pi\) |
−0.296913 | + | 0.954905i | \(0.595957\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12.9869 | − | 48.4677i | −0.443106 | − | 1.65370i | −0.720889 | − | 0.693051i | \(-0.756266\pi\) |
0.277782 | − | 0.960644i | \(-0.410401\pi\) | |||||||
\(860\) | −6.77308 | − | 18.6089i | −0.230960 | − | 0.634558i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −32.0833 | − | 18.5233i | −1.09276 | − | 0.630907i | ||||
\(863\) | −11.2925 | − | 1.99118i | −0.384402 | − | 0.0677804i | −0.0218920 | − | 0.999760i | \(-0.506969\pi\) |
−0.362510 | + | 0.931980i | \(0.618080\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.93659 | + | 14.6916i | −0.133848 | + | 0.499528i | ||||
\(866\) | 0.955606 | − | 0.0836047i | 0.0324728 | − | 0.00284100i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 15.4131 | − | 33.0536i | 0.523156 | − | 1.12191i | ||||
\(869\) | 0.0152999 | + | 0.0107131i | 0.000519014 | + | 0.000363417i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.8071 | + | 7.37095i | 0.535602 | + | 0.249755i | ||||
\(872\) | 6.30836 | + | 5.29334i | 0.213628 | + | 0.179255i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 46.2973 | + | 12.4053i | 1.56603 | + | 0.419617i | ||||
\(875\) | 35.6298 | − | 16.6144i | 1.20451 | − | 0.561671i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 10.8928 | − | 18.8668i | 0.367822 | − | 0.637087i | −0.621403 | − | 0.783491i | \(-0.713437\pi\) |
0.989225 | + | 0.146405i | \(0.0467701\pi\) | |||||||
\(878\) | −19.7504 | − | 34.2087i | −0.666543 | − | 1.15449i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.0116124 | − | 0.00311152i | 0.000391452 | − | 0.000104889i | ||||
\(881\) | −33.0173 | + | 27.7048i | −1.11238 | + | 0.933398i | −0.998195 | − | 0.0600610i | \(-0.980870\pi\) |
−0.114186 | + | 0.993459i | \(0.536426\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 34.9106 | + | 3.05428i | 1.17484 | + | 0.102785i | 0.657809 | − | 0.753185i | \(-0.271483\pi\) |
0.517026 | + | 0.855969i | \(0.327039\pi\) | |||||||
\(884\) | 4.15485 | − | 11.4154i | 0.139743 | − | 0.383940i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.88938 | − | 2.69831i | −0.0634750 | − | 0.0906516i | ||||
\(887\) | 11.4605 | 0.384807 | 0.192403 | − | 0.981316i | \(-0.438372\pi\) | ||||
0.192403 | + | 0.981316i | \(0.438372\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.9056 | 0.365763 | ||||||||
\(890\) | −7.56809 | − | 10.8084i | −0.253683 | − | 0.362297i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.42690 | + | 3.92036i | −0.0477760 | + | 0.131263i | ||||
\(893\) | 6.31084 | + | 0.552127i | 0.211184 | + | 0.0184762i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.45648 | + | 6.25673i | −0.249243 | + | 0.209139i | ||||
\(896\) | −3.92649 | + | 1.05210i | −0.131175 | + | 0.0351482i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.416374 | − | 0.721181i | −0.0138946 | − | 0.0240661i | ||||
\(899\) | 7.82790 | − | 13.5583i | 0.261075 | − | 0.452195i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −77.2573 | + | 36.0257i | −2.57382 | + | 1.20019i | ||||
\(902\) | −0.0280603 | − | 0.00751872i | −0.000934304 | − | 0.000250346i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.31240 | + | 4.45763i | 0.176688 | + | 0.148259i | ||||
\(905\) | −24.2410 | − | 11.3038i | −0.805799 | − | 0.375750i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.1674 | + | 7.81948i | 0.370807 | + | 0.259642i | 0.744095 | − | 0.668074i | \(-0.232881\pi\) |
−0.373288 | + | 0.927715i | \(0.621770\pi\) | |||||||
\(908\) | −0.726378 | + | 1.55772i | −0.0241057 | + | 0.0516949i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −23.6542 | + | 2.06947i | −0.784129 | + | 0.0686024i | ||||
\(911\) | 5.99682 | − | 22.3804i | 0.198683 | − | 0.741497i | −0.792599 | − | 0.609743i | \(-0.791273\pi\) |
0.991282 | − | 0.131754i | \(-0.0420608\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.00605548 | + | 0.00106775i | 0.000200407 | + | 3.53372e-5i | ||||
\(914\) | 16.7209 | + | 9.65379i | 0.553077 | + | 0.319319i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.481532 | + | 1.32300i | 0.0159103 | + | 0.0437131i | ||||
\(917\) | 8.42462 | + | 31.4411i | 0.278205 | + | 1.03828i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 21.2065 | + | 21.2065i | 0.699539 | + | 0.699539i | 0.964311 | − | 0.264772i | \(-0.0852967\pi\) |
−0.264772 | + | 0.964311i | \(0.585297\pi\) | |||||||
\(920\) | −2.25554 | + | 25.7809i | −0.0743629 | + | 0.849972i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.756884 | − | 4.29250i | −0.0249266 | − | 0.141366i | ||||
\(923\) | −8.94411 | + | 6.26273i | −0.294399 | + | 0.206140i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 43.7515 | + | 16.9304i | 1.43854 | + | 0.556668i | ||||
\(926\) | 2.71307i | 0.0891571i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.71848 | + | 0.303015i | −0.0564119 | + | 0.00994694i | ||||
\(929\) | −4.53956 | − | 1.65227i | −0.148938 | − | 0.0542091i | 0.266475 | − | 0.963842i | \(-0.414141\pi\) |
−0.415414 | + | 0.909633i | \(0.636363\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 44.4721 | − | 44.4721i | 1.45751 | − | 1.45751i | ||||
\(932\) | −10.3286 | − | 12.3091i | −0.338323 | − | 0.403198i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 12.9915 | − | 4.72853i | 0.425096 | − | 0.154722i | ||||
\(935\) | 0.0772010 | − | 0.0445720i | 0.00252474 | − | 0.00145766i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.113704 | + | 0.644850i | −0.00371456 | + | 0.0210663i | −0.986609 | − | 0.163105i | \(-0.947849\pi\) |
0.982894 | + | 0.184171i | \(0.0589602\pi\) | |||||||
\(938\) | −18.2893 | − | 39.2214i | −0.597165 | − | 1.28063i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.298113 | + | 3.40745i | 0.00972337 | + | 0.111139i | ||||
\(941\) | 37.1402 | − | 44.2619i | 1.21073 | − | 1.44290i | 0.347810 | − | 0.937565i | \(-0.386925\pi\) |
0.862925 | − | 0.505332i | \(-0.168630\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 35.8688 | − | 51.2260i | 1.16805 | − | 1.66815i | ||||
\(944\) | 6.04372 | − | 8.63133i | 0.196706 | − | 0.280926i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.0120379 | + | 0.0143462i | −0.000391385 | + | 0.000466434i | ||||
\(947\) | −2.77402 | − | 31.7072i | −0.0901434 | − | 1.03034i | −0.897716 | − | 0.440575i | \(-0.854774\pi\) |
0.807572 | − | 0.589769i | \(-0.200781\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.720497 | − | 1.54511i | −0.0233883 | − | 0.0501565i | ||||
\(950\) | 8.84372 | − | 50.1552i | 0.286928 | − | 1.62725i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −26.1040 | + | 15.0712i | −0.846036 | + | 0.488459i | ||||
\(953\) | 23.5806 | − | 8.58264i | 0.763851 | − | 0.278019i | 0.0694287 | − | 0.997587i | \(-0.477882\pi\) |
0.694422 | + | 0.719568i | \(0.255660\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −37.6863 | − | 44.9127i | −1.21950 | − | 1.45334i | ||||
\(956\) | 12.3660 | − | 12.3660i | 0.399946 | − | 0.399946i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 11.5864 | + | 4.21710i | 0.374339 | + | 0.136248i | ||||
\(959\) | 49.4283 | − | 8.71554i | 1.59612 | − | 0.281439i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 49.4942i | 1.59659i | ||||||||
\(962\) | −7.50320 | − | 6.55810i | −0.241913 | − | 0.211442i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 21.6237 | − | 15.1410i | 0.696451 | − | 0.487660i | ||||
\(965\) | −0.853023 | − | 4.83774i | −0.0274598 | − | 0.155732i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.0305040 | + | 0.348662i | −0.000980942 | + | 0.0112122i | −0.996669 | − | 0.0815483i | \(-0.974014\pi\) |
0.995688 | + | 0.0927605i | \(0.0295691\pi\) | |||||||
\(968\) | 7.77817 | + | 7.77817i | 0.250000 | + | 0.250000i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.21690 | + | 15.7377i | 0.135397 | + | 0.505307i | ||||
\(971\) | −1.77969 | − | 4.88967i | −0.0571131 | − | 0.156917i | 0.907855 | − | 0.419284i | \(-0.137719\pi\) |
−0.964968 | + | 0.262367i | \(0.915497\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.907312 | + | 0.523837i | 0.0290871 | + | 0.0167934i | ||||
\(974\) | 22.0677 | + | 3.89114i | 0.707096 | + | 0.124680i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.85645 | + | 10.6604i | −0.0914329 | + | 0.341232i | ||||
\(977\) | 34.6524 | − | 3.03169i | 1.10863 | − | 0.0969924i | 0.481897 | − | 0.876228i | \(-0.339948\pi\) |
0.626731 | + | 0.779236i | \(0.284392\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.00527340 | + | 0.0113088i | −0.000168538 | + | 0.000361432i | ||||
\(980\) | 27.8170 | + | 19.4776i | 0.888580 | + | 0.622190i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −8.67718 | − | 4.04624i | −0.276900 | − | 0.129121i | ||||
\(983\) | −9.46948 | − | 7.94583i | −0.302029 | − | 0.253433i | 0.479159 | − | 0.877728i | \(-0.340942\pi\) |
−0.781188 | + | 0.624295i | \(0.785386\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 41.4801 | + | 11.1146i | 1.32167 | + | 0.354140i | ||||
\(986\) | −11.7269 | + | 5.46836i | −0.373462 | + | 0.174148i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.40917 | + | 9.36896i | −0.172089 | + | 0.298066i | ||||
\(989\) | −20.1572 | − | 34.9132i | −0.640961 | − | 1.11018i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.4969 | − | 7.36777i | 0.873467 | − | 0.234045i | 0.205881 | − | 0.978577i | \(-0.433994\pi\) |
0.667586 | + | 0.744532i | \(0.267327\pi\) | |||||||
\(992\) | 6.87284 | − | 5.76700i | 0.218213 | − | 0.183102i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 26.9891 | + | 2.36124i | 0.856044 | + | 0.0748941i | ||||
\(995\) | −17.0688 | + | 46.8963i | −0.541119 | + | 1.48671i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 23.5454 | + | 33.6263i | 0.745690 | + | 1.06496i | 0.995322 | + | 0.0966147i | \(0.0308015\pi\) |
−0.249632 | + | 0.968341i | \(0.580310\pi\) | |||||||
\(998\) | −0.708771 | −0.0224357 | ||||||||
\(999\) | 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.431.4 | yes | 96 | |
3.2 | odd | 2 | inner | 666.2.bs.b.431.5 | yes | 96 | |
37.17 | odd | 36 | inner | 666.2.bs.b.17.5 | yes | 96 | |
111.17 | even | 36 | inner | 666.2.bs.b.17.4 | ✓ | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.b.17.4 | ✓ | 96 | 111.17 | even | 36 | inner | |
666.2.bs.b.17.5 | yes | 96 | 37.17 | odd | 36 | inner | |
666.2.bs.b.431.4 | yes | 96 | 1.1 | even | 1 | trivial | |
666.2.bs.b.431.5 | yes | 96 | 3.2 | odd | 2 | inner |