Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(199,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.199");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.bf (of order \(6\), degree \(2\), 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: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 244.4 | ||
Character | \(\chi\) | \(=\) | 585.244 |
Dual form | 585.2.bf.b.199.3 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.779103 | − | 1.34945i | −0.550909 | − | 0.954203i | −0.998209 | − | 0.0598187i | \(-0.980948\pi\) |
0.447300 | − | 0.894384i | \(-0.352386\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.214003 | + | 0.370665i | −0.107002 | + | 0.185332i | ||||
\(5\) | 2.08241 | + | 0.814609i | 0.931280 | + | 0.364304i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.92183 | + | 3.32870i | −0.726382 | + | 1.25813i | 0.232021 | + | 0.972711i | \(0.425466\pi\) |
−0.958403 | + | 0.285419i | \(0.907867\pi\) | |||||||
\(8\) | −2.44949 | −0.866025 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.523137 | − | 3.44476i | −0.165431 | − | 1.08933i | ||||
\(11\) | 3.29655 | − | 1.90326i | 0.993946 | − | 0.573855i | 0.0874949 | − | 0.996165i | \(-0.472114\pi\) |
0.906452 | + | 0.422310i | \(0.138781\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.193779 | + | 3.60034i | 0.0537445 | + | 0.998555i | ||||
\(14\) | 5.98920 | 1.60068 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.33641 | + | 4.04678i | 0.584103 | + | 1.01170i | ||||
\(17\) | 0.412019 | + | 0.237879i | 0.0999292 | + | 0.0576942i | 0.549132 | − | 0.835736i | \(-0.314959\pi\) |
−0.449203 | + | 0.893430i | \(0.648292\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.642010 | + | 0.370665i | 0.147287 | + | 0.0850363i | 0.571833 | − | 0.820370i | \(-0.306233\pi\) |
−0.424545 | + | 0.905407i | \(0.639566\pi\) | |||||||
\(20\) | −0.747589 | + | 0.597545i | −0.167166 | + | 0.133615i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.13670 | − | 2.96568i | −1.09515 | − | 0.632284i | ||||
\(23\) | 4.49827 | − | 2.59708i | 0.937955 | − | 0.541528i | 0.0486360 | − | 0.998817i | \(-0.484513\pi\) |
0.889319 | + | 0.457288i | \(0.151179\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.67282 | + | 3.39269i | 0.734565 | + | 0.678539i | ||||
\(26\) | 4.70749 | − | 3.06653i | 0.923215 | − | 0.601396i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.822554 | − | 1.42471i | −0.155448 | − | 0.269244i | ||||
\(29\) | 2.99460 | + | 5.18680i | 0.556083 | + | 0.963165i | 0.997818 | + | 0.0660191i | \(0.0210298\pi\) |
−0.441735 | + | 0.897146i | \(0.645637\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.62019i | 1.00942i | 0.863290 | + | 0.504708i | \(0.168400\pi\) | ||||
−0.863290 | + | 0.504708i | \(0.831600\pi\) | |||||||
\(32\) | 1.19112 | − | 2.06308i | 0.210563 | − | 0.364705i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 0.741329i | − | 0.127137i | ||||||
\(35\) | −6.71361 | + | 5.36616i | −1.13481 | + | 0.907047i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.29305 | − | 2.23963i | −0.212576 | − | 0.368193i | 0.739944 | − | 0.672669i | \(-0.234852\pi\) |
−0.952520 | + | 0.304476i | \(0.901519\pi\) | |||||||
\(38\) | − | 1.15514i | − | 0.187389i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −5.10083 | − | 1.99538i | −0.806512 | − | 0.315497i | ||||
\(41\) | 5.00944 | − | 2.89220i | 0.782343 | − | 0.451686i | −0.0549171 | − | 0.998491i | \(-0.517489\pi\) |
0.837260 | + | 0.546805i | \(0.184156\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.03743 | + | 2.33101i | 0.615702 | + | 0.355476i | 0.775194 | − | 0.631723i | \(-0.217652\pi\) |
−0.159492 | + | 0.987199i | \(0.550985\pi\) | |||||||
\(44\) | 1.62922i | 0.245614i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.00924 | − | 4.04678i | −1.03346 | − | 0.596666i | ||||
\(47\) | −5.05609 | −0.737507 | −0.368754 | − | 0.929527i | \(-0.620215\pi\) | ||||
−0.368754 | + | 0.929527i | \(0.620215\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.88683 | − | 6.73218i | −0.555261 | − | 0.961740i | ||||
\(50\) | 1.71675 | − | 7.59954i | 0.242785 | − | 1.07474i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.37599 | − | 0.698658i | −0.190815 | − | 0.0968864i | ||||
\(53\) | 0.951516i | 0.130701i | 0.997862 | + | 0.0653504i | \(0.0208165\pi\) | ||||
−0.997862 | + | 0.0653504i | \(0.979183\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.41516 | − | 1.27797i | 1.13470 | − | 0.172321i | ||||
\(56\) | 4.70749 | − | 8.15362i | 0.629065 | − | 1.08957i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.66621 | − | 8.08210i | 0.612703 | − | 1.06123i | ||||
\(59\) | −9.58770 | − | 5.53546i | −1.24821 | − | 0.720655i | −0.277459 | − | 0.960737i | \(-0.589492\pi\) |
−0.970753 | + | 0.240082i | \(0.922826\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.29523 | − | 10.9037i | 0.806022 | − | 1.39607i | −0.109577 | − | 0.993978i | \(-0.534950\pi\) |
0.915599 | − | 0.402093i | \(-0.131717\pi\) | |||||||
\(62\) | 7.58414 | − | 4.37871i | 0.963187 | − | 0.556096i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.63362 | 0.704203 | ||||||||
\(65\) | −2.52934 | + | 7.65522i | −0.313727 | + | 0.949513i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.13194 | − | 5.42467i | −0.382627 | − | 0.662729i | 0.608810 | − | 0.793316i | \(-0.291647\pi\) |
−0.991437 | + | 0.130587i | \(0.958314\pi\) | |||||||
\(68\) | −0.176347 | + | 0.101814i | −0.0213852 | + | 0.0123467i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 12.4719 | + | 4.87886i | 1.49068 | + | 0.583135i | ||||
\(71\) | −0.505104 | − | 0.291622i | −0.0599448 | − | 0.0346091i | 0.469728 | − | 0.882811i | \(-0.344352\pi\) |
−0.529673 | + | 0.848202i | \(0.677685\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 14.1171 | 1.65228 | 0.826138 | − | 0.563468i | \(-0.190533\pi\) | ||||
0.826138 | + | 0.563468i | \(0.190533\pi\) | |||||||
\(74\) | −2.01484 | + | 3.48980i | −0.234220 | + | 0.405681i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.274785 | + | 0.158647i | −0.0315200 | + | 0.0181981i | ||||
\(77\) | 14.6310i | 1.66735i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.20561 | −0.698186 | −0.349093 | − | 0.937088i | \(-0.613510\pi\) | ||||
−0.349093 | + | 0.937088i | \(0.613510\pi\) | |||||||
\(80\) | 1.56881 | + | 10.3303i | 0.175398 | + | 1.15496i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.80574 | − | 4.50665i | −0.862000 | − | 0.497676i | ||||
\(83\) | 3.18366 | 0.349452 | 0.174726 | − | 0.984617i | \(-0.444096\pi\) | ||||
0.174726 | + | 0.984617i | \(0.444096\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.664211 | + | 0.830995i | 0.0720438 | + | 0.0901341i | ||||
\(86\) | − | 7.26439i | − | 0.783340i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8.07486 | + | 4.66202i | −0.860783 | + | 0.496973i | ||||
\(89\) | −14.4983 | + | 8.37062i | −1.53682 | + | 0.887284i | −0.537799 | + | 0.843073i | \(0.680744\pi\) |
−0.999022 | + | 0.0442114i | \(0.985922\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −12.3569 | − | 6.27420i | −1.29535 | − | 0.657714i | ||||
\(92\) | 2.22313i | 0.231778i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.93922 | + | 6.82293i | 0.406299 | + | 0.703731i | ||||
\(95\) | 1.03498 | + | 1.29486i | 0.106187 | + | 0.132850i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.84842 | + | 10.1298i | −0.593817 | + | 1.02852i | 0.399896 | + | 0.916560i | \(0.369046\pi\) |
−0.993713 | + | 0.111960i | \(0.964287\pi\) | |||||||
\(98\) | −6.05648 | + | 10.4901i | −0.611797 | + | 1.05966i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.04355 | + | 0.635338i | −0.204355 | + | 0.0635338i | ||||
\(101\) | 0.474658 | + | 0.822133i | 0.0472303 | + | 0.0818052i | 0.888674 | − | 0.458539i | \(-0.151627\pi\) |
−0.841444 | + | 0.540345i | \(0.818294\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 16.2688i | − | 1.60301i | −0.597990 | − | 0.801504i | \(-0.704034\pi\) | ||
0.597990 | − | 0.801504i | \(-0.295966\pi\) | |||||||
\(104\) | −0.474658 | − | 8.81900i | −0.0465441 | − | 0.864774i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.28402 | − | 0.741329i | 0.124715 | − | 0.0720043i | ||||
\(107\) | 10.6107 | − | 6.12608i | 1.02577 | − | 0.592231i | 0.110003 | − | 0.993931i | \(-0.464914\pi\) |
0.915771 | + | 0.401701i | \(0.131581\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 19.0846i | 1.82797i | 0.405750 | + | 0.913984i | \(0.367010\pi\) | ||||
−0.405750 | + | 0.913984i | \(0.632990\pi\) | |||||||
\(110\) | −8.28083 | − | 10.3601i | −0.789546 | − | 0.987801i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −17.9607 | −1.69713 | ||||||||
\(113\) | −9.74510 | − | 5.62634i | −0.916742 | − | 0.529281i | −0.0341479 | − | 0.999417i | \(-0.510872\pi\) |
−0.882594 | + | 0.470135i | \(0.844205\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 11.4828 | − | 1.74384i | 1.07078 | − | 0.162614i | ||||
\(116\) | −2.56342 | −0.238007 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 17.2508i | 1.58806i | ||||||||
\(119\) | −1.58366 | + | 0.914324i | −0.145174 | + | 0.0838160i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.74482 | − | 3.02211i | 0.158620 | − | 0.274737i | ||||
\(122\) | −19.6185 | −1.77618 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.08321 | − | 1.20274i | −0.187077 | − | 0.108009i | ||||
\(125\) | 4.88459 | + | 10.0569i | 0.436891 | + | 0.899515i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.2993 | + | 8.83303i | −1.35759 | + | 0.783805i | −0.989299 | − | 0.145905i | \(-0.953390\pi\) |
−0.368291 | + | 0.929710i | \(0.620057\pi\) | |||||||
\(128\) | −6.77141 | − | 11.7284i | −0.598514 | − | 1.03666i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 12.3009 | − | 2.55099i | 1.07886 | − | 0.223737i | ||||
\(131\) | −16.3535 | −1.42881 | −0.714406 | − | 0.699731i | \(-0.753303\pi\) | ||||
−0.714406 | + | 0.699731i | \(0.753303\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.46766 | + | 1.42471i | −0.213974 | + | 0.123538i | ||||
\(134\) | −4.88020 | + | 8.45276i | −0.421585 | + | 0.730207i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.00924 | − | 0.582682i | −0.0865412 | − | 0.0499646i | ||||
\(137\) | 2.37093 | − | 4.10658i | 0.202562 | − | 0.350848i | −0.746791 | − | 0.665059i | \(-0.768406\pi\) |
0.949353 | + | 0.314210i | \(0.101740\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.22522 | − | 5.58624i | 0.273559 | − | 0.473818i | −0.696211 | − | 0.717837i | \(-0.745132\pi\) |
0.969771 | + | 0.244018i | \(0.0784657\pi\) | |||||||
\(140\) | −0.552313 | − | 3.63688i | −0.0466790 | − | 0.307372i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.908814i | 0.0762660i | ||||||||
\(143\) | 7.49119 | + | 11.4999i | 0.626445 | + | 0.961668i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.01076 | + | 13.2404i | 0.166984 | + | 1.09956i | ||||
\(146\) | −10.9986 | − | 19.0502i | −0.910254 | − | 1.57661i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.10687 | 0.0909840 | ||||||||
\(149\) | 5.05292 | + | 2.91730i | 0.413951 | + | 0.238995i | 0.692486 | − | 0.721431i | \(-0.256515\pi\) |
−0.278535 | + | 0.960426i | \(0.589849\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.0938i | 1.47246i | 0.676734 | + | 0.736228i | \(0.263395\pi\) | ||||
−0.676734 | + | 0.736228i | \(0.736605\pi\) | |||||||
\(152\) | −1.57260 | − | 0.907939i | −0.127554 | − | 0.0736436i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 19.7437 | − | 11.3990i | 1.59099 | − | 0.918559i | ||||
\(155\) | −4.57826 | + | 11.7035i | −0.367734 | + | 0.940048i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 1.52530i | − | 0.121732i | −0.998146 | − | 0.0608662i | \(-0.980614\pi\) | ||
0.998146 | − | 0.0608662i | \(-0.0193863\pi\) | |||||||
\(158\) | 4.83481 | + | 8.37414i | 0.384637 | + | 0.666211i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.16101 | − | 3.32588i | 0.328956 | − | 0.262934i | ||||
\(161\) | 19.9645i | 1.57343i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.276717 | − | 0.479288i | 0.0216741 | − | 0.0375407i | −0.854985 | − | 0.518653i | \(-0.826434\pi\) |
0.876659 | + | 0.481112i | \(0.159767\pi\) | |||||||
\(164\) | 2.47576i | 0.193325i | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.48040 | − | 4.29618i | −0.192516 | − | 0.333448i | ||||
\(167\) | −4.98885 | − | 8.64094i | −0.386049 | − | 0.668656i | 0.605865 | − | 0.795567i | \(-0.292827\pi\) |
−0.991914 | + | 0.126911i | \(0.959494\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9249 | + | 1.39534i | −0.994223 | + | 0.107334i | ||||
\(170\) | 0.603894 | − | 1.54375i | 0.0463165 | − | 0.118400i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.72805 | + | 0.997688i | −0.131762 | + | 0.0760730i | ||||
\(173\) | 22.2557 | + | 12.8493i | 1.69207 | + | 0.976916i | 0.952846 | + | 0.303456i | \(0.0981404\pi\) |
0.739223 | + | 0.673461i | \(0.235193\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −18.3518 | + | 5.70556i | −1.38726 | + | 0.431300i | ||||
\(176\) | 15.4042 | + | 8.89361i | 1.16113 | + | 0.670381i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 22.5914 | + | 13.0432i | 1.69330 | + | 0.977626i | ||||
\(179\) | −11.9349 | − | 20.6719i | −0.892058 | − | 1.54509i | −0.837404 | − | 0.546585i | \(-0.815928\pi\) |
−0.0546546 | − | 0.998505i | \(-0.517406\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 21.2241 | 1.57757 | 0.788787 | − | 0.614667i | \(-0.210710\pi\) | ||||
0.788787 | + | 0.614667i | \(0.210710\pi\) | |||||||
\(182\) | 1.16058 | + | 21.5632i | 0.0860278 | + | 1.59837i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −11.0185 | + | 6.36152i | −0.812292 | + | 0.468977i | ||||
\(185\) | −0.868232 | − | 5.71714i | −0.0638337 | − | 0.420333i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.81099 | 0.132432 | ||||||||
\(188\) | 1.08202 | − | 1.87412i | 0.0789145 | − | 0.136684i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.940991 | − | 2.40548i | 0.0682667 | − | 0.174512i | ||||
\(191\) | 3.46926 | − | 6.00893i | 0.251027 | − | 0.434791i | −0.712782 | − | 0.701386i | \(-0.752565\pi\) |
0.963809 | + | 0.266595i | \(0.0858984\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.57646 | − | 13.1228i | −0.545366 | − | 0.944601i | −0.998584 | − | 0.0532014i | \(-0.983057\pi\) |
0.453218 | − | 0.891400i | \(-0.350276\pi\) | |||||||
\(194\) | 18.2261 | 1.30856 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.32718 | 0.237655 | ||||||||
\(197\) | 0.266215 | + | 0.461098i | 0.0189671 | + | 0.0328519i | 0.875353 | − | 0.483484i | \(-0.160629\pi\) |
−0.856386 | + | 0.516336i | \(0.827296\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.1297 | − | 17.5451i | 0.718073 | − | 1.24374i | −0.243689 | − | 0.969853i | \(-0.578358\pi\) |
0.961762 | − | 0.273886i | \(-0.0883090\pi\) | |||||||
\(200\) | −8.99654 | − | 8.31037i | −0.636152 | − | 0.587632i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.739616 | − | 1.28105i | 0.0520392 | − | 0.0901345i | ||||
\(203\) | −23.0204 | −1.61572 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.7877 | − | 1.94200i | 0.893131 | − | 0.135635i | ||||
\(206\) | −21.9538 | + | 12.6750i | −1.52959 | + | 0.883112i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −14.1171 | + | 9.19606i | −0.978842 | + | 0.637632i | ||||
\(209\) | 2.82189 | 0.195194 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.64399 | + | 8.04362i | 0.319705 | + | 0.553746i | 0.980426 | − | 0.196886i | \(-0.0630828\pi\) |
−0.660721 | + | 0.750631i | \(0.729749\pi\) | |||||||
\(212\) | −0.352694 | − | 0.203628i | −0.0242231 | − | 0.0139852i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −16.5336 | − | 9.54570i | −1.13022 | − | 0.652531i | ||||
\(215\) | 6.50870 | + | 8.14304i | 0.443890 | + | 0.555351i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −18.7079 | − | 10.8010i | −1.26998 | − | 0.733221i | ||||
\(218\) | 25.7536 | − | 14.8688i | 1.74425 | − | 1.00704i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.32718 | + | 3.39269i | −0.0894782 | + | 0.228735i | ||||
\(221\) | −0.776605 | + | 1.52950i | −0.0522401 | + | 0.102886i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.55060 | − | 4.41777i | −0.170801 | − | 0.295836i | 0.767899 | − | 0.640571i | \(-0.221302\pi\) |
−0.938700 | + | 0.344735i | \(0.887969\pi\) | |||||||
\(224\) | 4.57826 | + | 7.92977i | 0.305898 | + | 0.529830i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 17.5340i | 1.16634i | ||||||||
\(227\) | 4.24337 | − | 7.34973i | 0.281642 | − | 0.487819i | −0.690147 | − | 0.723669i | \(-0.742454\pi\) |
0.971789 | + | 0.235850i | \(0.0757875\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.38692i | 0.289896i | 0.989439 | + | 0.144948i | \(0.0463015\pi\) | ||||
−0.989439 | + | 0.144948i | \(0.953699\pi\) | |||||||
\(230\) | −11.2995 | − | 14.1368i | −0.745068 | − | 0.932155i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.33524 | − | 12.7050i | −0.481582 | − | 0.834125i | ||||
\(233\) | − | 17.6686i | − | 1.15751i | −0.815502 | − | 0.578754i | \(-0.803539\pi\) | ||
0.815502 | − | 0.578754i | \(-0.196461\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.5288 | − | 4.11874i | −0.686826 | − | 0.268677i | ||||
\(236\) | 4.10360 | − | 2.36921i | 0.267121 | − | 0.154223i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.46766 | + | 1.42471i | 0.159955 | + | 0.0923500i | ||||
\(239\) | − | 19.0326i | − | 1.23112i | −0.788091 | − | 0.615559i | \(-0.788930\pi\) | ||
0.788091 | − | 0.615559i | \(-0.211070\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.63277 | − | 1.52003i | −0.169592 | − | 0.0979139i | 0.412801 | − | 0.910821i | \(-0.364550\pi\) |
−0.582393 | + | 0.812907i | \(0.697884\pi\) | |||||||
\(242\) | −5.43757 | −0.349540 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.69440 | + | 4.66684i | 0.172491 | + | 0.298764i | ||||
\(245\) | −2.60985 | − | 17.1854i | −0.166737 | − | 1.09793i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.21011 | + | 2.38328i | −0.0769975 | + | 0.151645i | ||||
\(248\) | − | 13.7666i | − | 0.874179i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.76562 | − | 14.4268i | 0.617632 | − | 0.912433i | ||||
\(251\) | −3.90044 | + | 6.75576i | −0.246194 | + | 0.426420i | −0.962467 | − | 0.271400i | \(-0.912513\pi\) |
0.716273 | + | 0.697820i | \(0.245847\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.88584 | − | 17.1228i | 0.621518 | − | 1.07650i | ||||
\(254\) | 23.8394 | + | 13.7637i | 1.49582 | + | 0.863611i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.91764 | + | 8.51760i | −0.307353 | + | 0.532350i | ||||
\(257\) | 18.2288 | − | 10.5244i | 1.13708 | − | 0.656493i | 0.191373 | − | 0.981517i | \(-0.438706\pi\) |
0.945706 | + | 0.325025i | \(0.105373\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.94006 | 0.617646 | ||||||||
\(260\) | −2.29623 | − | 2.57578i | −0.142406 | − | 0.159743i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 12.7411 | + | 22.0682i | 0.787146 | + | 1.36338i | ||||
\(263\) | −24.4582 | + | 14.1209i | −1.50816 | + | 0.870735i | −0.508202 | + | 0.861238i | \(0.669690\pi\) |
−0.999955 | + | 0.00949688i | \(0.996977\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.775114 | + | 1.98144i | −0.0476149 | + | 0.121719i | ||||
\(266\) | 3.84513 | + | 2.21999i | 0.235760 | + | 0.136116i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.68098 | 0.163767 | ||||||||
\(269\) | 6.08799 | − | 10.5447i | 0.371191 | − | 0.642922i | −0.618558 | − | 0.785739i | \(-0.712283\pi\) |
0.989749 | + | 0.142817i | \(0.0456161\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.9320 | + | 6.31157i | −0.664069 | + | 0.383401i | −0.793826 | − | 0.608145i | \(-0.791914\pi\) |
0.129756 | + | 0.991546i | \(0.458580\pi\) | |||||||
\(272\) | 2.22313i | 0.134797i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.38880 | −0.446374 | ||||||||
\(275\) | 18.5648 | + | 4.19383i | 1.11950 | + | 0.252897i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.2706 | − | 7.08442i | −0.737267 | − | 0.425661i | 0.0838078 | − | 0.996482i | \(-0.473292\pi\) |
−0.821075 | + | 0.570821i | \(0.806625\pi\) | |||||||
\(278\) | −10.0511 | −0.602825 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 16.4449 | − | 13.1444i | 0.982772 | − | 0.785526i | ||||
\(281\) | 27.0646i | 1.61454i | 0.590181 | + | 0.807271i | \(0.299056\pi\) | ||||
−0.590181 | + | 0.807271i | \(0.700944\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 21.3973 | − | 12.3537i | 1.27194 | − | 0.734352i | 0.296583 | − | 0.955007i | \(-0.404153\pi\) |
0.975352 | + | 0.220655i | \(0.0708195\pi\) | |||||||
\(284\) | 0.216188 | − | 0.124816i | 0.0128284 | − | 0.00740647i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.68206 | − | 19.0686i | 0.572512 | − | 1.12755i | ||||
\(287\) | 22.2332i | 1.31239i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.38683 | − | 14.5264i | −0.493343 | − | 0.854495i | ||||
\(290\) | 16.3007 | − | 13.0291i | 0.957209 | − | 0.765094i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.02110 | + | 5.23269i | −0.176796 | + | 0.306220i | ||||
\(293\) | −4.29622 | + | 7.44128i | −0.250988 | + | 0.434724i | −0.963798 | − | 0.266633i | \(-0.914089\pi\) |
0.712810 | + | 0.701357i | \(0.247422\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.4562 | − | 19.3373i | −0.899897 | − | 1.12586i | ||||
\(296\) | 3.16731 | + | 5.48595i | 0.184096 | + | 0.318864i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 9.09152i | − | 0.526657i | ||||||
\(299\) | 10.2220 | + | 15.6921i | 0.591156 | + | 0.907495i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −15.5185 | + | 8.95959i | −0.894470 | + | 0.516422i | ||||
\(302\) | 24.4167 | − | 14.0970i | 1.40502 | − | 0.811189i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.46410i | 0.198680i | ||||||||
\(305\) | 21.9914 | − | 17.5777i | 1.25923 | − | 1.00650i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.1761 | 0.751998 | 0.375999 | − | 0.926620i | \(-0.377300\pi\) | ||||
0.375999 | + | 0.926620i | \(0.377300\pi\) | |||||||
\(308\) | −5.42318 | − | 3.13107i | −0.309014 | − | 0.178409i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 19.3602 | − | 2.94013i | 1.09958 | − | 0.166988i | ||||
\(311\) | 15.8105 | 0.896531 | 0.448266 | − | 0.893900i | \(-0.352042\pi\) | ||||
0.448266 | + | 0.893900i | \(0.352042\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 2.97740i | − | 0.168293i | −0.996453 | − | 0.0841463i | \(-0.973184\pi\) | ||
0.996453 | − | 0.0841463i | \(-0.0268163\pi\) | |||||||
\(314\) | −2.05831 | + | 1.18837i | −0.116157 | + | 0.0670635i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.32802 | − | 2.30020i | 0.0747071 | − | 0.129396i | ||||
\(317\) | 3.36340 | 0.188907 | 0.0944536 | − | 0.995529i | \(-0.469890\pi\) | ||||
0.0944536 | + | 0.995529i | \(0.469890\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 19.7437 | + | 11.3990i | 1.10543 | + | 0.638223i | ||||
\(320\) | 11.7315 | + | 4.58920i | 0.655810 | + | 0.256544i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 26.9411 | − | 15.5544i | 1.50137 | − | 0.866814i | ||||
\(323\) | 0.176347 | + | 0.305442i | 0.00981220 | + | 0.0169952i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −11.5031 | + | 13.8808i | −0.638079 | + | 0.769971i | ||||
\(326\) | −0.862364 | −0.0477619 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −12.2706 | + | 7.08442i | −0.677529 | + | 0.391171i | ||||
\(329\) | 9.71693 | − | 16.8302i | 0.535712 | − | 0.927880i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.81173 | − | 5.08745i | −0.484336 | − | 0.279632i | 0.237886 | − | 0.971293i | \(-0.423546\pi\) |
−0.722222 | + | 0.691662i | \(0.756879\pi\) | |||||||
\(332\) | −0.681314 | + | 1.18007i | −0.0373919 | + | 0.0647647i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −7.77365 | + | 13.4644i | −0.425355 | + | 0.736737i | ||||
\(335\) | −2.10297 | − | 13.8477i | −0.114898 | − | 0.756579i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 0.415294i | − | 0.0226225i | −0.999936 | − | 0.0113113i | \(-0.996399\pi\) | ||
0.999936 | − | 0.0113113i | \(-0.00360056\pi\) | |||||||
\(338\) | 11.9528 | + | 16.3543i | 0.650145 | + | 0.889559i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.450164 | + | 0.0683640i | −0.0244136 | + | 0.00370756i | ||||
\(341\) | 10.6967 | + | 18.5272i | 0.579258 | + | 1.00331i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.97366 | 0.160562 | ||||||||
\(344\) | −9.88964 | − | 5.70979i | −0.533214 | − | 0.307851i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 40.0438i | − | 2.15277i | ||||||
\(347\) | −26.2411 | − | 15.1503i | −1.40869 | − | 0.813310i | −0.413432 | − | 0.910535i | \(-0.635670\pi\) |
−0.995262 | + | 0.0972248i | \(0.969003\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.44450 | + | 4.87544i | −0.452024 | + | 0.260976i | −0.708685 | − | 0.705525i | \(-0.750711\pi\) |
0.256661 | + | 0.966502i | \(0.417378\pi\) | |||||||
\(350\) | 21.9973 | + | 20.3195i | 1.17580 | + | 1.08612i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 9.06807i | − | 0.483330i | ||||||
\(353\) | −12.3565 | − | 21.4022i | −0.657673 | − | 1.13912i | −0.981217 | − | 0.192909i | \(-0.938208\pi\) |
0.323544 | − | 0.946213i | \(-0.395126\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.814273 | − | 1.01874i | −0.0432171 | − | 0.0540690i | ||||
\(356\) | − | 7.16537i | − | 0.379764i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −18.5971 | + | 32.2111i | −0.982886 | + | 1.70241i | ||||
\(359\) | − | 10.8363i | − | 0.571920i | −0.958242 | − | 0.285960i | \(-0.907688\pi\) | ||
0.958242 | − | 0.285960i | \(-0.0923124\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.22522 | − | 15.9785i | −0.485538 | − | 0.840976i | ||||
\(362\) | −16.5358 | − | 28.6408i | −0.869100 | − | 1.50532i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.97003 | − | 3.23755i | 0.260500 | − | 0.169694i | ||||
\(365\) | 29.3974 | + | 11.4999i | 1.53873 | + | 0.601931i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.581336 | + | 0.335634i | −0.0303455 | + | 0.0175200i | −0.515096 | − | 0.857132i | \(-0.672244\pi\) |
0.484751 | + | 0.874652i | \(0.338910\pi\) | |||||||
\(368\) | 21.0196 | + | 12.1357i | 1.09572 | + | 0.632617i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −7.03853 | + | 5.62588i | −0.365916 | + | 0.292475i | ||||
\(371\) | −3.16731 | − | 1.82865i | −0.164439 | − | 0.0949387i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.3973 | + | 12.3537i | 1.10791 | + | 0.639651i | 0.938287 | − | 0.345858i | \(-0.112412\pi\) |
0.169621 | + | 0.985509i | \(0.445746\pi\) | |||||||
\(374\) | −1.41094 | − | 2.44383i | −0.0729582 | − | 0.126367i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 12.3849 | 0.638700 | ||||||||
\(377\) | −18.0940 | + | 11.7867i | −0.931886 | + | 0.607044i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.44450 | + | 4.87544i | −0.433765 | + | 0.250434i | −0.700949 | − | 0.713211i | \(-0.747240\pi\) |
0.267184 | + | 0.963645i | \(0.413907\pi\) | |||||||
\(380\) | −0.701448 | + | 0.106525i | −0.0359835 | + | 0.00546463i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.8116 | −0.553172 | ||||||||
\(383\) | 9.08949 | − | 15.7435i | 0.464451 | − | 0.804453i | −0.534725 | − | 0.845026i | \(-0.679585\pi\) |
0.999177 | + | 0.0405726i | \(0.0129182\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −11.9185 | + | 30.4676i | −0.607424 | + | 1.55277i | ||||
\(386\) | −11.8057 | + | 20.4481i | −0.600894 | + | 1.04078i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.50316 | − | 4.33560i | −0.127079 | − | 0.220107i | ||||
\(389\) | −3.77121 | −0.191208 | −0.0956039 | − | 0.995419i | \(-0.530478\pi\) | ||||
−0.0956039 | + | 0.995419i | \(0.530478\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.47116 | 0.124972 | ||||||||
\(392\) | 9.52074 | + | 16.4904i | 0.480870 | + | 0.832892i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.414818 | − | 0.718486i | 0.0208982 | − | 0.0361968i | ||||
\(395\) | −12.9226 | − | 5.05515i | −0.650207 | − | 0.254352i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.14147 | − | 12.3694i | 0.358420 | − | 0.620801i | −0.629277 | − | 0.777181i | \(-0.716649\pi\) |
0.987697 | + | 0.156380i | \(0.0499823\pi\) | |||||||
\(398\) | −31.5682 | −1.58237 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.14827 | + | 22.7899i | −0.257413 | + | 1.13949i | ||||
\(401\) | −1.66942 | + | 0.963837i | −0.0833666 | + | 0.0481317i | −0.541104 | − | 0.840956i | \(-0.681993\pi\) |
0.457737 | + | 0.889088i | \(0.348660\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −20.2346 | + | 1.08907i | −1.00796 | + | 0.0542505i | ||||
\(404\) | −0.406314 | −0.0202149 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 17.9353 | + | 31.0648i | 0.890112 | + | 1.54172i | ||||
\(407\) | −8.52520 | − | 4.92203i | −0.422578 | − | 0.243976i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 21.0218 | + | 12.1369i | 1.03946 | + | 0.600133i | 0.919680 | − | 0.392668i | \(-0.128448\pi\) |
0.119780 | + | 0.992800i | \(0.461781\pi\) | |||||||
\(410\) | −12.5836 | − | 15.7433i | −0.621458 | − | 0.777506i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.03025 | + | 3.48157i | 0.297089 | + | 0.171525i | ||||
\(413\) | 36.8518 | − | 21.2764i | 1.81336 | − | 1.04694i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.62967 | + | 2.59344i | 0.325438 | + | 0.127307i | ||||
\(416\) | 7.65862 | + | 3.88866i | 0.375495 | + | 0.190657i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.19854 | − | 3.80799i | −0.107534 | − | 0.186255i | ||||
\(419\) | −13.0874 | − | 22.6680i | −0.639361 | − | 1.10741i | −0.985573 | − | 0.169250i | \(-0.945865\pi\) |
0.346212 | − | 0.938156i | \(-0.387468\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 23.4715i | − | 1.14393i | −0.820278 | − | 0.571965i | \(-0.806181\pi\) | ||
0.820278 | − | 0.571965i | \(-0.193819\pi\) | |||||||
\(422\) | 7.23629 | − | 12.5336i | 0.352257 | − | 0.610127i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | − | 2.33073i | − | 0.113190i | ||||||
\(425\) | 0.706221 | + | 2.27154i | 0.0342568 | + | 0.110186i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 24.1967 | + | 41.9099i | 1.17096 | + | 2.02816i | ||||
\(428\) | 5.24401i | 0.253479i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.91764 | − | 15.1274i | 0.285374 | − | 0.729508i | ||||
\(431\) | −11.0974 | + | 6.40710i | −0.534544 | + | 0.308619i | −0.742865 | − | 0.669441i | \(-0.766534\pi\) |
0.208321 | + | 0.978061i | \(0.433200\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −11.6418 | − | 6.72139i | −0.559469 | − | 0.323010i | 0.193463 | − | 0.981107i | \(-0.438028\pi\) |
−0.752932 | + | 0.658098i | \(0.771361\pi\) | |||||||
\(434\) | 33.6604i | 1.61575i | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.07397 | − | 4.08416i | −0.338782 | − | 0.195596i | ||||
\(437\) | 3.85058 | 0.184198 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.86723 | + | 11.8944i | 0.327755 | + | 0.567688i | 0.982066 | − | 0.188537i | \(-0.0603747\pi\) |
−0.654311 | + | 0.756225i | \(0.727041\pi\) | |||||||
\(440\) | −20.6129 | + | 3.13037i | −0.982679 | + | 0.149234i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.66904 | − | 0.143654i | 0.126953 | − | 0.00683291i | ||||
\(443\) | 24.2527i | 1.15228i | 0.817350 | + | 0.576141i | \(0.195442\pi\) | ||||
−0.817350 | + | 0.576141i | \(0.804558\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −37.0102 | + | 5.62055i | −1.75445 | + | 0.266439i | ||||
\(446\) | −3.97436 | + | 6.88380i | −0.188192 | + | 0.325957i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −10.8268 | + | 18.7526i | −0.511520 | + | 0.885978i | ||||
\(449\) | −12.0337 | − | 6.94767i | −0.567906 | − | 0.327881i | 0.188406 | − | 0.982091i | \(-0.439668\pi\) |
−0.756313 | + | 0.654210i | \(0.773001\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.0092 | − | 19.0686i | 0.518405 | − | 0.897903i | ||||
\(452\) | 4.17097 | − | 2.40811i | 0.196186 | − | 0.113268i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −13.2241 | −0.620637 | ||||||||
\(455\) | −20.6210 | − | 23.1314i | −0.966726 | − | 1.08442i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.84842 | − | 10.1298i | −0.273577 | − | 0.473850i | 0.696198 | − | 0.717850i | \(-0.254874\pi\) |
−0.969775 | + | 0.244000i | \(0.921540\pi\) | |||||||
\(458\) | 5.91991 | − | 3.41786i | 0.276619 | − | 0.159706i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.81099 | + | 4.62947i | −0.0844376 | + | 0.215850i | ||||
\(461\) | −23.7102 | − | 13.6891i | −1.10429 | − | 0.637564i | −0.166948 | − | 0.985966i | \(-0.553391\pi\) |
−0.937345 | + | 0.348402i | \(0.886724\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.74877 | 0.174220 | 0.0871101 | − | 0.996199i | \(-0.472237\pi\) | ||||
0.0871101 | + | 0.996199i | \(0.472237\pi\) | |||||||
\(464\) | −13.9932 | + | 24.2370i | −0.649620 | + | 1.12517i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −23.8428 | + | 13.7657i | −1.10450 | + | 0.637682i | ||||
\(467\) | 29.4842i | 1.36437i | 0.731182 | + | 0.682183i | \(0.238969\pi\) | ||||
−0.731182 | + | 0.682183i | \(0.761031\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 24.0761 | 1.11173 | ||||||||
\(470\) | 2.64503 | + | 17.4170i | 0.122006 | + | 0.803387i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 23.4850 | + | 13.5590i | 1.08098 | + | 0.624106i | ||||
\(473\) | 17.7461 | 0.815967 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.10044 | + | 3.53953i | 0.0504916 | + | 0.162405i | ||||
\(476\) | − | 0.782674i | − | 0.0358738i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −25.6835 | + | 14.8284i | −1.17474 | + | 0.678234i | ||||
\(479\) | 25.6697 | − | 14.8204i | 1.17288 | − | 0.677162i | 0.218522 | − | 0.975832i | \(-0.429876\pi\) |
0.954356 | + | 0.298670i | \(0.0965431\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.81286 | − | 5.08941i | 0.356236 | − | 0.232057i | ||||
\(482\) | 4.73705i | 0.215767i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.746793 | + | 1.29348i | 0.0339452 | + | 0.0587947i | ||||
\(485\) | −20.4306 | + | 16.3301i | −0.927704 | + | 0.741511i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.04423 | + | 1.80867i | −0.0473188 | + | 0.0819585i | −0.888715 | − | 0.458461i | \(-0.848401\pi\) |
0.841396 | + | 0.540419i | \(0.181734\pi\) | |||||||
\(488\) | −15.4201 | + | 26.7084i | −0.698035 | + | 1.20903i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −21.1574 | + | 16.9110i | −0.955794 | + | 0.763963i | ||||
\(491\) | −19.2058 | − | 33.2655i | −0.866747 | − | 1.50125i | −0.865302 | − | 0.501251i | \(-0.832873\pi\) |
−0.00144556 | − | 0.999999i | \(-0.500460\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.84941i | 0.128331i | ||||||||
\(494\) | 4.15891 | − | 0.223842i | 0.187118 | − | 0.0100711i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −22.7437 | + | 13.1311i | −1.02122 | + | 0.589603i | ||||
\(497\) | 1.94144 | − | 1.12089i | 0.0870856 | − | 0.0502789i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 33.2971i | − | 1.49058i | −0.666739 | − | 0.745291i | \(-0.732310\pi\) | ||
0.666739 | − | 0.745291i | \(-0.267690\pi\) | |||||||
\(500\) | −4.77305 | − | 0.341661i | −0.213457 | − | 0.0152796i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.1554 | 0.542521 | ||||||||
\(503\) | 1.37847 | + | 0.795860i | 0.0614629 | + | 0.0354856i | 0.530417 | − | 0.847737i | \(-0.322036\pi\) |
−0.468954 | + | 0.883223i | \(0.655369\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.318715 | + | 2.09867i | 0.0141826 | + | 0.0933898i | ||||
\(506\) | −30.8084 | −1.36960 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 7.56120i | − | 0.335474i | ||||||
\(509\) | 16.6859 | − | 9.63361i | 0.739589 | − | 0.427002i | −0.0823307 | − | 0.996605i | \(-0.526236\pi\) |
0.821920 | + | 0.569603i | \(0.192903\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −27.1305 | + | 46.9914i | −1.20018 | + | 2.07878i | ||||
\(512\) | −11.7603 | −0.519735 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −28.4042 | − | 16.3992i | −1.25285 | − | 0.723336i | ||||
\(515\) | 13.2527 | − | 33.8781i | 0.583983 | − | 1.49285i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.6677 | + | 9.62307i | −0.733043 | + | 0.423222i | ||||
\(518\) | −7.74434 | − | 13.4136i | −0.340267 | − | 0.589359i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 6.19560 | − | 18.7514i | 0.271695 | − | 0.822303i | ||||
\(521\) | 35.4419 | 1.55274 | 0.776370 | − | 0.630278i | \(-0.217059\pi\) | ||||
0.776370 | + | 0.630278i | \(0.217059\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.55409 | − | 5.51606i | 0.417771 | − | 0.241200i | −0.276352 | − | 0.961056i | \(-0.589126\pi\) |
0.694123 | + | 0.719856i | \(0.255792\pi\) | |||||||
\(524\) | 3.49970 | − | 6.06167i | 0.152885 | − | 0.264805i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 38.1109 | + | 22.0033i | 1.66171 | + | 0.959391i | ||||
\(527\) | −1.33693 | + | 2.31562i | −0.0582374 | + | 0.100870i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.98963 | − | 3.44615i | 0.0865058 | − | 0.149832i | ||||
\(530\) | 3.27774 | − | 0.497774i | 0.142376 | − | 0.0216219i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 1.21957i | − | 0.0528750i | ||||||
\(533\) | 11.3836 | + | 17.4752i | 0.493080 | + | 0.756937i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 27.0861 | − | 4.11342i | 1.17103 | − | 0.177839i | ||||
\(536\) | 7.67165 | + | 13.2877i | 0.331365 | + | 0.573940i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −18.9727 | −0.817971 | ||||||||
\(539\) | −25.6262 | − | 14.7953i | −1.10380 | − | 0.637279i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 28.8103i | − | 1.23865i | −0.785135 | − | 0.619325i | \(-0.787406\pi\) | ||
0.785135 | − | 0.619325i | \(-0.212594\pi\) | |||||||
\(542\) | 17.0342 | + | 9.83473i | 0.731684 | + | 0.422438i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.981529 | − | 0.566686i | 0.0420827 | − | 0.0242965i | ||||
\(545\) | −15.5465 | + | 39.7418i | −0.665937 | + | 1.70235i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.62978i | 0.411740i | 0.978579 | + | 0.205870i | \(0.0660024\pi\) | ||||
−0.978579 | + | 0.205870i | \(0.933998\pi\) | |||||||
\(548\) | 1.01478 | + | 1.75764i | 0.0433490 | + | 0.0750827i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.80457 | − | 28.3197i | −0.375428 | − | 1.20755i | ||||
\(551\) | 4.43997i | 0.189149i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.9261 | − | 20.6566i | 0.507150 | − | 0.878409i | ||||
\(554\) | 22.0780i | 0.938003i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.38041 | + | 2.39095i | 0.0585426 | + | 0.101399i | ||||
\(557\) | −2.71571 | − | 4.70374i | −0.115068 | − | 0.199304i | 0.802739 | − | 0.596331i | \(-0.203375\pi\) |
−0.917807 | + | 0.397027i | \(0.870042\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.61007 | + | 14.9878i | −0.321871 | + | 0.633917i | ||||
\(560\) | −37.4015 | − | 14.6310i | −1.58050 | − | 0.618271i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 36.5223 | − | 21.0861i | 1.54060 | − | 0.889466i | ||||
\(563\) | 4.48049 | + | 2.58681i | 0.188830 | + | 0.109021i | 0.591435 | − | 0.806353i | \(-0.298562\pi\) |
−0.402605 | + | 0.915374i | \(0.631895\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.7100 | − | 19.6548i | −0.660924 | − | 0.826882i | ||||
\(566\) | −33.3413 | − | 19.2496i | −1.40144 | − | 0.809122i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.23725 | + | 0.714325i | 0.0519137 | + | 0.0299724i | ||||
\(569\) | 16.6554 | + | 28.8481i | 0.698233 | + | 1.20937i | 0.969079 | + | 0.246752i | \(0.0793633\pi\) |
−0.270846 | + | 0.962623i | \(0.587303\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.59273 | 0.192200 | 0.0960998 | − | 0.995372i | \(-0.469363\pi\) | ||||
0.0960998 | + | 0.995372i | \(0.469363\pi\) | |||||||
\(572\) | −5.86574 | + | 0.315708i | −0.245259 | + | 0.0132004i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 30.0025 | − | 17.3220i | 1.25228 | − | 0.723005i | ||||
\(575\) | 25.3325 | + | 5.72264i | 1.05644 | + | 0.238651i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 38.8799 | 1.61859 | 0.809295 | − | 0.587402i | \(-0.199849\pi\) | ||||
0.809295 | + | 0.587402i | \(0.199849\pi\) | |||||||
\(578\) | −13.0684 | + | 22.6351i | −0.543574 | + | 0.941498i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.33808 | − | 2.08818i | −0.221652 | − | 0.0867071i | ||||
\(581\) | −6.11844 | + | 10.5974i | −0.253836 | + | 0.439656i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.81099 | + | 3.13672i | 0.0750034 | + | 0.129910i | ||||
\(584\) | −34.5796 | −1.43091 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 13.3888 | 0.553086 | ||||||||
\(587\) | 5.39748 | + | 9.34870i | 0.222778 | + | 0.385862i | 0.955650 | − | 0.294503i | \(-0.0951543\pi\) |
−0.732873 | + | 0.680366i | \(0.761821\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.08321 | + | 3.60822i | −0.0858370 | + | 0.148674i | ||||
\(590\) | −14.0526 | + | 35.9231i | −0.578538 | + | 1.47893i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.04219 | − | 10.4654i | 0.248333 | − | 0.430125i | ||||
\(593\) | −44.1073 | −1.81127 | −0.905634 | − | 0.424059i | \(-0.860605\pi\) | ||||
−0.905634 | + | 0.424059i | \(0.860605\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.04263 | + | 0.613933i | −0.165732 | + | 0.0251688i | ||||
\(596\) | −2.16268 | + | 1.24862i | −0.0885869 | + | 0.0511457i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 13.2116 | − | 26.0198i | 0.540261 | − | 1.06403i | ||||
\(599\) | −18.5106 | −0.756323 | −0.378161 | − | 0.925740i | \(-0.623444\pi\) | ||||
−0.378161 | + | 0.925740i | \(0.623444\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.6852 | + | 18.5073i | 0.435857 | + | 0.754927i | 0.997365 | − | 0.0725447i | \(-0.0231120\pi\) |
−0.561508 | + | 0.827471i | \(0.689779\pi\) | |||||||
\(602\) | 24.1810 | + | 13.9609i | 0.985543 | + | 0.569004i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −6.70674 | − | 3.87214i | −0.272894 | − | 0.157555i | ||||
\(605\) | 6.09526 | − | 4.87192i | 0.247807 | − | 0.198072i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 32.1252 | + | 18.5475i | 1.30392 | + | 0.752819i | 0.981074 | − | 0.193632i | \(-0.0620267\pi\) |
0.322847 | + | 0.946451i | \(0.395360\pi\) | |||||||
\(608\) | 1.52942 | − | 0.883014i | 0.0620264 | − | 0.0358109i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −40.8538 | − | 15.9814i | −1.65412 | − | 0.647070i | ||||
\(611\) | −0.979762 | − | 18.2037i | −0.0396369 | − | 0.736441i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.39232 | − | 4.14362i | −0.0966249 | − | 0.167359i | 0.813661 | − | 0.581340i | \(-0.197471\pi\) |
−0.910286 | + | 0.413981i | \(0.864138\pi\) | |||||||
\(614\) | −10.2655 | − | 17.7804i | −0.414282 | − | 0.717558i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | − | 35.8384i | − | 1.44397i | ||||||
\(617\) | 5.08972 | − | 8.81565i | 0.204904 | − | 0.354905i | −0.745198 | − | 0.666843i | \(-0.767645\pi\) |
0.950102 | + | 0.311939i | \(0.100978\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.6551i | 0.508653i | 0.967118 | + | 0.254326i | \(0.0818537\pi\) | ||||
−0.967118 | + | 0.254326i | \(0.918146\pi\) | |||||||
\(620\) | −3.35832 | − | 4.20159i | −0.134873 | − | 0.168740i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.3180 | − | 21.3354i | −0.493907 | − | 0.855472i | ||||
\(623\) | − | 64.3475i | − | 2.57803i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.97927 | + | 24.9215i | 0.0791707 | + | 0.996861i | ||||
\(626\) | −4.01784 | + | 2.31970i | −0.160585 | + | 0.0927139i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.565376 | + | 0.326420i | 0.0225610 | + | 0.0130256i | ||||
\(629\) | − | 1.23036i | − | 0.0490576i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.32689 | + | 4.80753i | 0.331488 | + | 0.191385i | 0.656502 | − | 0.754325i | \(-0.272035\pi\) |
−0.325013 | + | 0.945709i | \(0.605369\pi\) | |||||||
\(632\) | 15.2006 | 0.604647 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.62043 | − | 4.53872i | −0.104071 | − | 0.180256i | ||||
\(635\) | −39.0547 | + | 5.93104i | −1.54984 | + | 0.235366i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 23.4850 | − | 15.2985i | 0.930508 | − | 0.606147i | ||||
\(638\) | − | 35.5241i | − | 1.40641i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.54674 | − | 29.9394i | −0.179726 | − | 1.18346i | ||||
\(641\) | 15.5334 | − | 26.9047i | 0.613533 | − | 1.06267i | −0.377107 | − | 0.926170i | \(-0.623081\pi\) |
0.990640 | − | 0.136501i | \(-0.0435857\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.8854 | − | 30.9784i | 0.705330 | − | 1.22167i | −0.261243 | − | 0.965273i | \(-0.584132\pi\) |
0.966572 | − | 0.256394i | \(-0.0825344\pi\) | |||||||
\(644\) | −7.40015 | − | 4.27248i | −0.291607 | − | 0.168359i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.274785 | − | 0.475941i | 0.0108113 | − | 0.0187256i | ||||
\(647\) | 6.54221 | − | 3.77715i | 0.257201 | − | 0.148495i | −0.365856 | − | 0.930671i | \(-0.619224\pi\) |
0.623057 | + | 0.782176i | \(0.285890\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −42.1417 | −1.65421 | ||||||||
\(650\) | 27.6936 | + | 4.70825i | 1.08623 | + | 0.184673i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.118437 | + | 0.205138i | 0.00463834 | + | 0.00803384i | ||||
\(653\) | −26.4590 | + | 15.2761i | −1.03542 | + | 0.597800i | −0.918532 | − | 0.395346i | \(-0.870625\pi\) |
−0.116887 | + | 0.993145i | \(0.537291\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −34.0546 | − | 13.3217i | −1.33062 | − | 0.520522i | ||||
\(656\) | 23.4082 | + | 13.5147i | 0.913938 | + | 0.527662i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −30.2820 | −1.18051 | ||||||||
\(659\) | −18.8300 | + | 32.6145i | −0.733511 | + | 1.27048i | 0.221862 | + | 0.975078i | \(0.428787\pi\) |
−0.955373 | + | 0.295401i | \(0.904547\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −35.3916 | + | 20.4334i | −1.37657 | + | 0.794766i | −0.991745 | − | 0.128222i | \(-0.959073\pi\) |
−0.384829 | + | 0.922988i | \(0.625740\pi\) | |||||||
\(662\) | 15.8546i | 0.616207i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.79834 | −0.302634 | ||||||||
\(665\) | −6.29925 | + | 0.956634i | −0.244275 | + | 0.0370967i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 26.9411 | + | 15.5544i | 1.04316 | + | 0.602270i | ||||
\(668\) | 4.27052 | 0.165231 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −17.0483 | + | 13.6266i | −0.658632 | + | 0.526442i | ||||
\(671\) | − | 47.9259i | − | 1.85016i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.78861 | + | 2.18736i | −0.146040 | + | 0.0843164i | −0.571240 | − | 0.820783i | \(-0.693537\pi\) |
0.425199 | + | 0.905100i | \(0.360204\pi\) | |||||||
\(674\) | −0.560417 | + | 0.323557i | −0.0215865 | + | 0.0124630i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.24877 | − | 5.08941i | 0.0864911 | − | 0.195747i | ||||
\(677\) | − | 9.96053i | − | 0.382814i | −0.981511 | − | 0.191407i | \(-0.938695\pi\) | ||
0.981511 | − | 0.191407i | \(-0.0613051\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −22.4793 | − | 38.9352i | −0.862675 | − | 1.49420i | ||||
\(680\) | −1.62698 | − | 2.03551i | −0.0623918 | − | 0.0780584i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 16.6677 | − | 28.8692i | 0.638237 | − | 1.10546i | ||||
\(683\) | −16.5183 | + | 28.6105i | −0.632054 | + | 1.09475i | 0.355077 | + | 0.934837i | \(0.384455\pi\) |
−0.987131 | + | 0.159913i | \(0.948879\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.28250 | − | 6.62017i | 0.316458 | − | 0.252944i | ||||
\(686\) | −2.31679 | − | 4.01279i | −0.0884553 | − | 0.153209i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 21.7848i | 0.830538i | ||||||||
\(689\) | −3.42578 | + | 0.184383i | −0.130512 | + | 0.00702445i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 27.4814 | − | 15.8664i | 1.04544 | − | 0.603587i | 0.124073 | − | 0.992273i | \(-0.460404\pi\) |
0.921370 | + | 0.388686i | \(0.127071\pi\) | |||||||
\(692\) | −9.52558 | + | 5.49960i | −0.362108 | + | 0.209063i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 47.2146i | 1.79224i | ||||||||
\(695\) | 11.2668 | − | 9.00552i | 0.427374 | − | 0.341599i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.75198 | 0.104239 | ||||||||
\(698\) | 13.1583 | + | 7.59693i | 0.498048 | + | 0.287548i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.81249 | − | 8.02337i | 0.0685058 | − | 0.303255i | ||||
\(701\) | 32.0162 | 1.20923 | 0.604617 | − | 0.796516i | \(-0.293326\pi\) | ||||
0.604617 | + | 0.796516i | \(0.293326\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 1.91715i | − | 0.0723067i | ||||||
\(704\) | 18.5715 | − | 10.7223i | 0.699940 | − | 0.404110i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −19.2541 | + | 33.3490i | −0.724636 | + | 1.25511i | ||||
\(707\) | −3.64884 | −0.137229 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.9597 | + | 14.9878i | 0.974936 | + | 0.562879i | 0.900737 | − | 0.434364i | \(-0.143027\pi\) |
0.0741983 | + | 0.997244i | \(0.476360\pi\) | |||||||
\(710\) | −0.740328 | + | 1.89252i | −0.0277840 | + | 0.0710250i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 35.5135 | − | 20.5038i | 1.33093 | − | 0.768411i | ||||
\(713\) | 14.5961 | + | 25.2811i | 0.546627 | + | 0.946786i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.23179 | + | 30.0498i | 0.233056 | + | 1.12380i | ||||
\(716\) | 10.2165 | 0.381807 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −14.6230 | + | 8.44262i | −0.545727 | + | 0.315076i | ||||
\(719\) | 14.1660 | − | 24.5361i | 0.528301 | − | 0.915044i | −0.471155 | − | 0.882051i | \(-0.656163\pi\) |
0.999456 | − | 0.0329934i | \(-0.0105040\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 54.1538 | + | 31.2657i | 2.01679 | + | 1.16440i | ||||
\(722\) | −14.3748 | + | 24.8979i | −0.534974 | + | 0.926603i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.54203 | + | 7.86702i | −0.168803 | + | 0.292375i | ||||
\(725\) | −6.59858 | + | 29.2100i | −0.245065 | + | 1.08483i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.23709i | 0.231321i | 0.993289 | + | 0.115660i | \(0.0368984\pi\) | ||||
−0.993289 | + | 0.115660i | \(0.963102\pi\) | |||||||
\(728\) | 30.2680 | + | 15.3686i | 1.12181 | + | 0.569597i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.38516 | − | 48.6298i | −0.273337 | − | 1.79987i | ||||
\(731\) | 1.10900 | + | 1.92084i | 0.0410178 | + | 0.0710448i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.7159 | −0.728223 | −0.364111 | − | 0.931355i | \(-0.618627\pi\) | ||||
−0.364111 | + | 0.931355i | \(0.618627\pi\) | |||||||
\(734\) | 0.905841 | + | 0.522987i | 0.0334352 | + | 0.0193038i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 12.3737i | − | 0.456102i | ||||||
\(737\) | −20.6492 | − | 11.9218i | −0.760621 | − | 0.439145i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.45967 | + | 5.46154i | −0.347979 | + | 0.200906i | −0.663795 | − | 0.747915i | \(-0.731055\pi\) |
0.315816 | + | 0.948821i | \(0.397722\pi\) | |||||||
\(740\) | 2.30495 | + | 0.901665i | 0.0847316 | + | 0.0331459i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.69882i | 0.209210i | ||||||||
\(743\) | −5.28222 | − | 9.14907i | −0.193786 | − | 0.335647i | 0.752716 | − | 0.658345i | \(-0.228743\pi\) |
−0.946502 | + | 0.322699i | \(0.895410\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.14576 | + | 10.1912i | 0.298437 | + | 0.373375i | ||||
\(746\) | − | 38.4993i | − | 1.40956i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.387557 | + | 0.671268i | −0.0141705 | + | 0.0245440i | ||||
\(749\) | 47.0930i | 1.72074i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.30955 | − | 7.46436i | −0.157258 | − | 0.272378i | 0.776621 | − | 0.629968i | \(-0.216932\pi\) |
−0.933879 | + | 0.357590i | \(0.883599\pi\) | |||||||
\(752\) | −11.8131 | − | 20.4609i | −0.430780 | − | 0.746133i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 30.0025 | + | 15.2338i | 1.09263 | + | 0.554782i | ||||
\(755\) | −14.7394 | + | 37.6787i | −0.536422 | + | 1.37127i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −31.9035 | + | 18.4195i | −1.15955 | + | 0.669468i | −0.951197 | − | 0.308585i | \(-0.900145\pi\) |
−0.208356 | + | 0.978053i | \(0.566811\pi\) | |||||||
\(758\) | 13.1583 | + | 7.59693i | 0.477930 | + | 0.275933i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.53517 | − | 3.17175i | −0.0919602 | − | 0.115051i | ||||
\(761\) | 13.4024 | + | 7.73787i | 0.485836 | + | 0.280497i | 0.722845 | − | 0.691010i | \(-0.242834\pi\) |
−0.237009 | + | 0.971507i | \(0.576167\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −63.5267 | − | 36.6772i | −2.29982 | − | 1.32780i | ||||
\(764\) | 1.48487 | + | 2.57186i | 0.0537206 | + | 0.0930468i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −28.3266 | −1.02348 | ||||||||
\(767\) | 18.0716 | − | 35.5916i | 0.652529 | − | 1.28514i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.6605 | − | 10.1963i | 0.636853 | − | 0.367687i | −0.146548 | − | 0.989204i | \(-0.546816\pi\) |
0.783401 | + | 0.621516i | \(0.213483\pi\) | |||||||
\(770\) | 50.4001 | − | 7.65400i | 1.81629 | − | 0.275831i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 6.48555 | 0.233420 | ||||||||
\(773\) | −11.3898 | + | 19.7277i | −0.409662 | + | 0.709556i | −0.994852 | − | 0.101341i | \(-0.967687\pi\) |
0.585190 | + | 0.810897i | \(0.301020\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.0676 | + | 20.6420i | −0.684927 | + | 0.741481i | ||||
\(776\) | 14.3256 | − | 24.8127i | 0.514260 | − | 0.890725i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.93816 | + | 5.08904i | 0.105338 | + | 0.182451i | ||||
\(779\) | 4.28815 | 0.153639 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.22013 | −0.0794426 | ||||||||
\(782\) | −1.92529 | − | 3.33470i | −0.0688483 | − | 0.119249i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 18.1625 | − | 31.4583i | 0.648659 | − | 1.12351i | ||||
\(785\) | 1.24253 | − | 3.17630i | 0.0443477 | − | 0.113367i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.82411 | + | 6.62356i | −0.136315 | + | 0.236104i | −0.926099 | − | 0.377281i | \(-0.876859\pi\) |
0.789784 | + | 0.613385i | \(0.210193\pi\) | |||||||
\(788\) | −0.227884 | −0.00811803 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.24639 | + | 21.3768i | 0.115501 | + | 0.760554i | ||||
\(791\) | 37.4568 | − | 21.6257i | 1.33181 | − | 0.768921i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 40.4768 | + | 20.5521i | 1.43737 | + | 0.729826i | ||||
\(794\) | −22.2558 | −0.789827 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.33557 | + | 7.50942i | 0.153670 | + | 0.266164i | ||||
\(797\) | −13.5110 | − | 7.80056i | −0.478583 | − | 0.276310i | 0.241243 | − | 0.970465i | \(-0.422445\pi\) |
−0.719826 | + | 0.694155i | \(0.755778\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.08321 | − | 1.20274i | −0.0736985 | − | 0.0425499i | ||||
\(800\) | 11.3742 | − | 3.53623i | 0.402138 | − | 0.125025i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.60129 | + | 1.50186i | 0.0918549 | + | 0.0530324i | ||||
\(803\) | 46.5375 | − | 26.8685i | 1.64227 | − | 0.948167i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −16.2633 | + | 41.5742i | −0.573206 | + | 1.46530i | ||||
\(806\) | 17.2345 | + | 26.4570i | 0.607058 | + | 0.931908i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.16267 | − | 2.01381i | −0.0409026 | − | 0.0708454i | ||||
\(809\) | −4.37510 | − | 7.57789i | −0.153820 | − | 0.266425i | 0.778809 | − | 0.627262i | \(-0.215824\pi\) |
−0.932629 | + | 0.360837i | \(0.882491\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 27.6769i | − | 0.971868i | −0.873996 | − | 0.485934i | \(-0.838480\pi\) | ||
0.873996 | − | 0.485934i | \(-0.161520\pi\) | |||||||
\(812\) | 4.92644 | − | 8.53285i | 0.172884 | − | 0.299444i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 15.3391i | 0.537634i | ||||||||
\(815\) | 0.966669 | − | 0.772655i | 0.0338609 | − | 0.0270649i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.72805 | + | 2.99307i | 0.0604567 | + | 0.104714i | ||||
\(818\) | − | 37.8237i | − | 1.32247i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.01678 | + | 5.15554i | −0.0704290 | + | 0.180039i | ||||
\(821\) | 10.7650 | − | 6.21520i | 0.375702 | − | 0.216912i | −0.300244 | − | 0.953862i | \(-0.597068\pi\) |
0.675947 | + | 0.736950i | \(0.263735\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 21.1915 | + | 12.2349i | 0.738691 | + | 0.426483i | 0.821593 | − | 0.570074i | \(-0.193086\pi\) |
−0.0829024 | + | 0.996558i | \(0.526419\pi\) | |||||||
\(824\) | 39.8501i | 1.38825i | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −57.4226 | − | 33.1530i | −1.99799 | − | 1.15354i | ||||
\(827\) | −11.6031 | −0.403481 | −0.201741 | − | 0.979439i | \(-0.564660\pi\) | ||||
−0.201741 | + | 0.979439i | \(0.564660\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.73247 | − | 4.73278i | −0.0949028 | − | 0.164376i | 0.814665 | − | 0.579931i | \(-0.196921\pi\) |
−0.909568 | + | 0.415555i | \(0.863587\pi\) | |||||||
\(830\) | −1.66549 | − | 10.9669i | −0.0578100 | − | 0.380668i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.09167 | + | 20.2830i | 0.0378470 | + | 0.703185i | ||||
\(833\) | − | 3.69838i | − | 0.128141i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.34982 | − | 22.0579i | −0.115925 | − | 0.763345i | ||||
\(836\) | −0.603894 | + | 1.04597i | −0.0208861 | + | 0.0361758i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −20.3929 | + | 35.3215i | −0.704460 | + | 1.22016i | ||||
\(839\) | 34.9120 | + | 20.1564i | 1.20530 | + | 0.695877i | 0.961728 | − | 0.274007i | \(-0.0883490\pi\) |
0.243567 | + | 0.969884i | \(0.421682\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.43527 | + | 5.95005i | −0.118457 | + | 0.205174i | ||||
\(842\) | −31.6735 | + | 18.2867i | −1.09154 | + | 0.630201i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.97531 | −0.136836 | ||||||||
\(845\) | −28.0515 | − | 7.62308i | −0.965002 | − | 0.262242i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.70647 | + | 11.6159i | 0.230437 | + | 0.399129i | ||||
\(848\) | −3.85058 | + | 2.22313i | −0.132230 | + | 0.0763427i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.51510 | − | 2.72277i | 0.0862673 | − | 0.0933903i | ||||
\(851\) | −11.6330 | − | 6.71630i | −0.398773 | − | 0.230232i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.7853 | −0.472000 | −0.236000 | − | 0.971753i | \(-0.575836\pi\) | ||||
−0.236000 | + | 0.971753i | \(0.575836\pi\) | |||||||
\(854\) | 37.7034 | − | 65.3042i | 1.29018 | − | 2.23466i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −25.9908 | + | 15.0058i | −0.888346 | + | 0.512887i | ||||
\(857\) | 16.8727i | 0.576362i | 0.957576 | + | 0.288181i | \(0.0930505\pi\) | ||||
−0.957576 | + | 0.288181i | \(0.906950\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.77365 | −0.299353 | −0.149677 | − | 0.988735i | \(-0.547823\pi\) | ||||
−0.149677 | + | 0.988735i | \(0.547823\pi\) | |||||||
\(860\) | −4.41122 | + | 0.669909i | −0.150421 | + | 0.0228437i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 17.2921 | + | 9.98359i | 0.588971 | + | 0.340042i | ||||
\(863\) | 18.4583 | 0.628327 | 0.314163 | − | 0.949369i | \(-0.398276\pi\) | ||||
0.314163 | + | 0.949369i | \(0.398276\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 35.8782 | + | 44.8872i | 1.21989 | + | 1.52621i | ||||
\(866\) | 20.9466i | 0.711796i | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 8.00711 | − | 4.62291i | 0.271779 | − | 0.156912i | ||||
\(869\) | −20.4571 | + | 11.8109i | −0.693960 | + | 0.400658i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 18.9238 | − | 12.3272i | 0.641207 | − | 0.417692i | ||||
\(872\) | − | 46.7474i | − | 1.58307i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.00000 | − | 5.19615i | −0.101477 | − | 0.175762i | ||||
\(875\) | −42.8637 | − | 3.06824i | −1.44906 | − | 0.103725i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 10.6610 | − | 18.4653i | 0.359995 | − | 0.623530i | −0.627965 | − | 0.778242i | \(-0.716112\pi\) |
0.987960 | + | 0.154712i | \(0.0494451\pi\) | |||||||
\(878\) | 10.7006 | − | 18.5339i | 0.361126 | − | 0.625489i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 24.8329 | + | 31.0685i | 0.837118 | + | 1.04732i | ||||
\(881\) | −5.18215 | − | 8.97575i | −0.174591 | − | 0.302401i | 0.765429 | − | 0.643521i | \(-0.222527\pi\) |
−0.940020 | + | 0.341120i | \(0.889194\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8.99486i | 0.302701i | 0.988480 | + | 0.151351i | \(0.0483622\pi\) | ||||
−0.988480 | + | 0.151351i | \(0.951638\pi\) | |||||||
\(884\) | −0.400737 | − | 0.615179i | −0.0134782 | − | 0.0206907i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 32.7278 | − | 18.8954i | 1.09951 | − | 0.634803i | ||||
\(887\) | −3.75895 | + | 2.17023i | −0.126213 | + | 0.0728692i | −0.561777 | − | 0.827288i | \(-0.689882\pi\) |
0.435564 | + | 0.900158i | \(0.356549\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 67.9022i | − | 2.27737i | ||||||
\(890\) | 36.4194 | + | 45.5643i | 1.22078 | + | 1.52732i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.18335 | 0.0731039 | ||||||||
\(893\) | −3.24606 | − | 1.87412i | −0.108625 | − | 0.0627149i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.01383 | − | 52.7696i | −0.267873 | − | 1.76389i | ||||
\(896\) | 52.0539 | 1.73900 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 21.6518i | 0.722530i | ||||||||
\(899\) | −29.1508 | + | 16.8302i | −0.972233 | + | 0.561319i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.226346 | + | 0.392043i | −0.00754067 | + | 0.0130608i | ||||
\(902\) | −34.3093 | −1.14238 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 23.8705 | + | 13.7817i | 0.793922 | + | 0.458371i | ||||
\(905\) | 44.1971 | + | 17.2893i | 1.46916 | + | 0.574717i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.2203 | + | 8.21009i | −0.472177 | + | 0.272612i | −0.717151 | − | 0.696918i | \(-0.754554\pi\) |
0.244973 | + | 0.969530i | \(0.421221\pi\) | |||||||
\(908\) | 1.81619 | + | 3.14573i | 0.0602724 | + | 0.104395i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −15.1488 | + | 45.8487i | −0.502176 | + | 1.51987i | ||||
\(911\) | 42.7868 | 1.41759 | 0.708795 | − | 0.705415i | \(-0.249239\pi\) | ||||
0.708795 | + | 0.705415i | \(0.249239\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.4951 | − | 6.05934i | 0.347337 | − | 0.200535i | ||||
\(914\) | −9.11304 | + | 15.7842i | −0.301432 | + | 0.522096i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.62608 | − | 0.938816i | −0.0537271 | − | 0.0310193i | ||||
\(917\) | 31.4286 | − | 54.4359i | 1.03786 | − | 1.79763i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.2232 | + | 21.1713i | −0.403207 | + | 0.698376i | −0.994111 | − | 0.108366i | \(-0.965438\pi\) |
0.590904 | + | 0.806742i | \(0.298771\pi\) | |||||||
\(920\) | −28.1271 | + | 4.27151i | −0.927322 | + | 0.140827i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 42.6608i | 1.40496i | ||||||||
\(923\) | 0.952060 | − | 1.87506i | 0.0313374 | − | 0.0617182i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.84923 | − | 12.6127i | 0.0936820 | − | 0.414702i | ||||
\(926\) | −2.92068 | − | 5.05876i | −0.0959795 | − | 0.166241i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 14.2677 | 0.468361 | ||||||||
\(929\) | 34.0310 | + | 19.6478i | 1.11652 | + | 0.644624i | 0.940510 | − | 0.339765i | \(-0.110347\pi\) |
0.176010 | + | 0.984388i | \(0.443681\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 5.76284i | − | 0.188869i | ||||||
\(932\) | 6.54913 | + | 3.78114i | 0.214524 | + | 0.123855i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 39.7873 | − | 22.9712i | 1.30188 | − | 0.751641i | ||||
\(935\) | 3.77121 | + | 1.47525i | 0.123332 | + | 0.0482457i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 18.6246i | − | 0.608441i | −0.952602 | − | 0.304220i | \(-0.901604\pi\) | ||
0.952602 | − | 0.304220i | \(-0.0983959\pi\) | |||||||
\(938\) | −18.7578 | − | 32.4895i | −0.612464 | − | 1.06082i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 3.77988 | − | 3.02124i | 0.123286 | − | 0.0985421i | ||||
\(941\) | − | 33.8097i | − | 1.10216i | −0.834451 | − | 0.551082i | \(-0.814215\pi\) | ||
0.834451 | − | 0.551082i | \(-0.185785\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 15.0225 | − | 26.0198i | 0.489201 | − | 0.847322i | ||||
\(944\) | − | 51.7324i | − | 1.68375i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −13.8260 | − | 23.9474i | −0.449524 | − | 0.778598i | ||||
\(947\) | 23.9182 | + | 41.4275i | 0.777236 | + | 1.34621i | 0.933529 | + | 0.358501i | \(0.116712\pi\) |
−0.156294 | + | 0.987711i | \(0.549955\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.73558 | + | 50.8262i | 0.0888007 | + | 1.64989i | ||||
\(950\) | 3.91905 | − | 4.24264i | 0.127151 | − | 0.137649i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.87915 | − | 2.23963i | 0.125724 | − | 0.0725868i | ||||
\(953\) | 10.8964 | + | 6.29106i | 0.352970 | + | 0.203788i | 0.665993 | − | 0.745958i | \(-0.268008\pi\) |
−0.313022 | + | 0.949746i | \(0.601341\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.1193 | − | 9.68694i | 0.392172 | − | 0.313462i | ||||
\(956\) | 7.05472 | + | 4.07305i | 0.228166 | + | 0.131732i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −39.9987 | − | 23.0932i | −1.29230 | − | 0.746109i | ||||
\(959\) | 9.11304 | + | 15.7842i | 0.294275 | + | 0.509700i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.586511 | −0.0189197 | ||||||||
\(962\) | −12.9549 | − | 6.57785i | −0.417683 | − | 0.212079i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.12685 | − | 0.650584i | 0.0362932 | − | 0.0209539i | ||||
\(965\) | −5.08730 | − | 33.4989i | −0.163766 | − | 1.07837i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −46.2658 | −1.48781 | −0.743904 | − | 0.668286i | \(-0.767028\pi\) | ||||
−0.743904 | + | 0.668286i | \(0.767028\pi\) | |||||||
\(968\) | −4.27391 | + | 7.40263i | −0.137369 | + | 0.237930i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 37.9541 | + | 14.8471i | 1.21863 | + | 0.476713i | ||||
\(971\) | −0.474658 | + | 0.822133i | −0.0152325 | + | 0.0263835i | −0.873541 | − | 0.486750i | \(-0.838182\pi\) |
0.858309 | + | 0.513134i | \(0.171516\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 12.3966 | + | 21.4715i | 0.397417 | + | 0.688346i | ||||
\(974\) | 3.25426 | 0.104273 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 58.8330 | 1.88320 | ||||||||
\(977\) | 24.7131 | + | 42.8043i | 0.790642 | + | 1.36943i | 0.925570 | + | 0.378577i | \(0.123586\pi\) |
−0.134928 | + | 0.990855i | \(0.543080\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −31.8630 | + | 55.1883i | −1.01835 | + | 1.76383i | ||||
\(980\) | 6.92853 | + | 2.71035i | 0.221324 | + | 0.0865789i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −29.9267 | + | 51.8345i | −0.954998 | + | 1.65410i | ||||
\(983\) | −47.8742 | −1.52695 | −0.763474 | − | 0.645838i | \(-0.776508\pi\) | ||||
−0.763474 | + | 0.645838i | \(0.776508\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.178753 | + | 1.17706i | 0.00569555 | + | 0.0375041i | ||||
\(986\) | 3.84513 | − | 2.21999i | 0.122454 | − | 0.0706987i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.624430 | − | 0.958576i | −0.0198658 | − | 0.0304964i | ||||
\(989\) | 24.2153 | 0.770001 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.66972 | − | 2.89203i | −0.0530403 | − | 0.0918685i | 0.838286 | − | 0.545230i | \(-0.183558\pi\) |
−0.891327 | + | 0.453362i | \(0.850225\pi\) | |||||||
\(992\) | 11.5949 | + | 6.69433i | 0.368139 | + | 0.212545i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −3.02517 | − | 1.74658i | −0.0959525 | − | 0.0553982i | ||||
\(995\) | 35.3865 | − | 28.2843i | 1.12183 | − | 0.896672i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 26.8505 | + | 15.5022i | 0.850365 | + | 0.490958i | 0.860774 | − | 0.508988i | \(-0.169980\pi\) |
−0.0104093 | + | 0.999946i | \(0.503313\pi\) | |||||||
\(998\) | −44.9326 | + | 25.9419i | −1.42232 | + | 0.821175i | ||||
\(999\) | 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 | 585.2.bf.b.244.4 | yes | 24 | |
3.2 | odd | 2 | inner | 585.2.bf.b.244.9 | yes | 24 | |
5.4 | even | 2 | inner | 585.2.bf.b.244.10 | yes | 24 | |
13.4 | even | 6 | inner | 585.2.bf.b.199.9 | yes | 24 | |
15.14 | odd | 2 | inner | 585.2.bf.b.244.3 | yes | 24 | |
39.17 | odd | 6 | inner | 585.2.bf.b.199.4 | yes | 24 | |
65.4 | even | 6 | inner | 585.2.bf.b.199.3 | ✓ | 24 | |
195.134 | odd | 6 | inner | 585.2.bf.b.199.10 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.bf.b.199.3 | ✓ | 24 | 65.4 | even | 6 | inner | |
585.2.bf.b.199.4 | yes | 24 | 39.17 | odd | 6 | inner | |
585.2.bf.b.199.9 | yes | 24 | 13.4 | even | 6 | inner | |
585.2.bf.b.199.10 | yes | 24 | 195.134 | odd | 6 | inner | |
585.2.bf.b.244.3 | yes | 24 | 15.14 | odd | 2 | inner | |
585.2.bf.b.244.4 | yes | 24 | 1.1 | even | 1 | trivial | |
585.2.bf.b.244.9 | yes | 24 | 3.2 | odd | 2 | inner | |
585.2.bf.b.244.10 | yes | 24 | 5.4 | even | 2 | inner |