Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(47,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(22\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 47.8 | ||
Character | \(\chi\) | \(=\) | 276.47 |
Dual form | 276.2.c.b.47.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.725653 | + | 1.21385i | −0.513114 | + | 0.858320i | ||||
\(3\) | −0.173813 | + | 1.72331i | −0.100351 | + | 0.994952i | ||||
\(4\) | −0.946854 | − | 1.76167i | −0.473427 | − | 0.880833i | ||||
\(5\) | − | 1.59003i | − | 0.711082i | −0.934661 | − | 0.355541i | \(-0.884297\pi\) | ||
0.934661 | − | 0.355541i | \(-0.115703\pi\) | |||||||
\(6\) | −1.96571 | − | 1.46151i | −0.802496 | − | 0.596658i | ||||
\(7\) | 4.71351i | 1.78154i | 0.454455 | + | 0.890770i | \(0.349834\pi\) | ||||
−0.454455 | + | 0.890770i | \(0.650166\pi\) | |||||||
\(8\) | 2.82548 | + | 0.129022i | 0.998959 | + | 0.0456162i | ||||
\(9\) | −2.93958 | − | 0.599066i | −0.979859 | − | 0.199689i | ||||
\(10\) | 1.93005 | + | 1.15381i | 0.610336 | + | 0.364867i | ||||
\(11\) | −5.82512 | −1.75634 | −0.878170 | − | 0.478349i | \(-0.841235\pi\) | ||||
−0.878170 | + | 0.478349i | \(0.841235\pi\) | |||||||
\(12\) | 3.20047 | − | 1.32552i | 0.923896 | − | 0.382645i | ||||
\(13\) | −1.61546 | −0.448048 | −0.224024 | − | 0.974584i | \(-0.571919\pi\) | ||||
−0.224024 | + | 0.974584i | \(0.571919\pi\) | |||||||
\(14\) | −5.72148 | − | 3.42037i | −1.52913 | − | 0.914134i | ||||
\(15\) | 2.74011 | + | 0.276367i | 0.707493 | + | 0.0713578i | ||||
\(16\) | −2.20693 | + | 3.33608i | −0.551734 | + | 0.834020i | ||||
\(17\) | 3.60195i | 0.873601i | 0.899558 | + | 0.436800i | \(0.143888\pi\) | ||||
−0.899558 | + | 0.436800i | \(0.856112\pi\) | |||||||
\(18\) | 2.86029 | − | 3.13349i | 0.674177 | − | 0.738570i | ||||
\(19\) | − | 3.18817i | − | 0.731416i | −0.930730 | − | 0.365708i | \(-0.880827\pi\) | ||
0.930730 | − | 0.365708i | \(-0.119173\pi\) | |||||||
\(20\) | −2.80110 | + | 1.50553i | −0.626345 | + | 0.336646i | ||||
\(21\) | −8.12283 | − | 0.819269i | −1.77255 | − | 0.178779i | ||||
\(22\) | 4.22702 | − | 7.07081i | 0.901203 | − | 1.50750i | ||||
\(23\) | −1.00000 | −0.208514 | ||||||||
\(24\) | −0.713450 | + | 4.84675i | −0.145632 | + | 0.989339i | ||||
\(25\) | 2.47181 | 0.494362 | ||||||||
\(26\) | 1.17226 | − | 1.96092i | 0.229900 | − | 0.384568i | ||||
\(27\) | 1.54331 | − | 4.96167i | 0.297010 | − | 0.954874i | ||||
\(28\) | 8.30363 | − | 4.46301i | 1.56924 | − | 0.843429i | ||||
\(29\) | − | 0.123751i | − | 0.0229799i | −0.999934 | − | 0.0114900i | \(-0.996343\pi\) | ||
0.999934 | − | 0.0114900i | \(-0.00365745\pi\) | |||||||
\(30\) | −2.32384 | + | 3.12553i | −0.424273 | + | 0.570641i | ||||
\(31\) | 2.32972i | 0.418431i | 0.977870 | + | 0.209215i | \(0.0670910\pi\) | ||||
−0.977870 | + | 0.209215i | \(0.932909\pi\) | |||||||
\(32\) | −2.44803 | − | 5.09972i | −0.432754 | − | 0.901512i | ||||
\(33\) | 1.01248 | − | 10.0385i | 0.176250 | − | 1.74747i | ||||
\(34\) | −4.37222 | − | 2.61377i | −0.749829 | − | 0.448257i | ||||
\(35\) | 7.49462 | 1.26682 | ||||||||
\(36\) | 1.72800 | + | 5.74578i | 0.288000 | + | 0.957631i | ||||
\(37\) | 1.69076 | 0.277959 | 0.138980 | − | 0.990295i | \(-0.455618\pi\) | ||||
0.138980 | + | 0.990295i | \(0.455618\pi\) | |||||||
\(38\) | 3.86995 | + | 2.31351i | 0.627789 | + | 0.375300i | ||||
\(39\) | 0.280788 | − | 2.78393i | 0.0449620 | − | 0.445786i | ||||
\(40\) | 0.205149 | − | 4.49260i | 0.0324369 | − | 0.710342i | ||||
\(41\) | 8.92645i | 1.39408i | 0.717034 | + | 0.697038i | \(0.245499\pi\) | ||||
−0.717034 | + | 0.697038i | \(0.754501\pi\) | |||||||
\(42\) | 6.88882 | − | 9.26537i | 1.06297 | − | 1.42968i | ||||
\(43\) | 3.88980i | 0.593189i | 0.955003 | + | 0.296595i | \(0.0958510\pi\) | ||||
−0.955003 | + | 0.296595i | \(0.904149\pi\) | |||||||
\(44\) | 5.51554 | + | 10.2619i | 0.831499 | + | 1.54704i | ||||
\(45\) | −0.952532 | + | 4.67401i | −0.141995 | + | 0.696761i | ||||
\(46\) | 0.725653 | − | 1.21385i | 0.106992 | − | 0.178972i | ||||
\(47\) | −4.75555 | −0.693668 | −0.346834 | − | 0.937926i | \(-0.612743\pi\) | ||||
−0.346834 | + | 0.937926i | \(0.612743\pi\) | |||||||
\(48\) | −5.36550 | − | 4.38308i | −0.774443 | − | 0.632643i | ||||
\(49\) | −15.2172 | −2.17388 | ||||||||
\(50\) | −1.79368 | + | 3.00040i | −0.253664 | + | 0.424321i | ||||
\(51\) | −6.20727 | − | 0.626065i | −0.869191 | − | 0.0876666i | ||||
\(52\) | 1.52960 | + | 2.84590i | 0.212118 | + | 0.394655i | ||||
\(53\) | 8.35826i | 1.14810i | 0.818822 | + | 0.574048i | \(0.194628\pi\) | ||||
−0.818822 | + | 0.574048i | \(0.805372\pi\) | |||||||
\(54\) | 4.90281 | + | 5.47380i | 0.667187 | + | 0.744890i | ||||
\(55\) | 9.26211i | 1.24890i | ||||||||
\(56\) | −0.608147 | + | 13.3179i | −0.0812670 | + | 1.77968i | ||||
\(57\) | 5.49420 | + | 0.554145i | 0.727724 | + | 0.0733983i | ||||
\(58\) | 0.150215 | + | 0.0898002i | 0.0197242 | + | 0.0117913i | ||||
\(59\) | 7.00860 | 0.912442 | 0.456221 | − | 0.889867i | \(-0.349203\pi\) | ||||
0.456221 | + | 0.889867i | \(0.349203\pi\) | |||||||
\(60\) | −2.10762 | − | 5.08884i | −0.272092 | − | 0.656966i | ||||
\(61\) | 2.05472 | 0.263080 | 0.131540 | − | 0.991311i | \(-0.458008\pi\) | ||||
0.131540 | + | 0.991311i | \(0.458008\pi\) | |||||||
\(62\) | −2.82793 | − | 1.69057i | −0.359148 | − | 0.214703i | ||||
\(63\) | 2.82370 | − | 13.8557i | 0.355753 | − | 1.74566i | ||||
\(64\) | 7.96671 | + | 0.729099i | 0.995838 | + | 0.0911374i | ||||
\(65\) | 2.56863i | 0.318599i | ||||||||
\(66\) | 11.4505 | + | 8.51345i | 1.40946 | + | 1.04793i | ||||
\(67\) | 11.0554i | 1.35064i | 0.737527 | + | 0.675318i | \(0.235993\pi\) | ||||
−0.737527 | + | 0.675318i | \(0.764007\pi\) | |||||||
\(68\) | 6.34543 | − | 3.41052i | 0.769497 | − | 0.413586i | ||||
\(69\) | 0.173813 | − | 1.72331i | 0.0209246 | − | 0.207462i | ||||
\(70\) | −5.43849 | + | 9.09732i | −0.650024 | + | 1.08734i | ||||
\(71\) | −1.48951 | −0.176772 | −0.0883861 | − | 0.996086i | \(-0.528171\pi\) | ||||
−0.0883861 | + | 0.996086i | \(0.528171\pi\) | |||||||
\(72\) | −8.22843 | − | 2.07192i | −0.969730 | − | 0.244178i | ||||
\(73\) | 7.31498 | 0.856154 | 0.428077 | − | 0.903742i | \(-0.359191\pi\) | ||||
0.428077 | + | 0.903742i | \(0.359191\pi\) | |||||||
\(74\) | −1.22691 | + | 2.05233i | −0.142625 | + | 0.238578i | ||||
\(75\) | −0.429632 | + | 4.25969i | −0.0496096 | + | 0.491866i | ||||
\(76\) | −5.61649 | + | 3.01873i | −0.644256 | + | 0.346272i | ||||
\(77\) | − | 27.4568i | − | 3.12899i | ||||||
\(78\) | 3.17552 | + | 2.36100i | 0.359557 | + | 0.267331i | ||||
\(79\) | − | 11.3669i | − | 1.27888i | −0.768842 | − | 0.639439i | \(-0.779167\pi\) | ||
0.768842 | − | 0.639439i | \(-0.220833\pi\) | |||||||
\(80\) | 5.30447 | + | 3.50909i | 0.593057 | + | 0.392328i | ||||
\(81\) | 8.28224 | + | 3.52200i | 0.920249 | + | 0.391334i | ||||
\(82\) | −10.8353 | − | 6.47751i | −1.19656 | − | 0.715321i | ||||
\(83\) | 16.1489 | 1.77257 | 0.886286 | − | 0.463139i | \(-0.153277\pi\) | ||||
0.886286 | + | 0.463139i | \(0.153277\pi\) | |||||||
\(84\) | 6.24785 | + | 15.0854i | 0.681697 | + | 1.64596i | ||||
\(85\) | 5.72720 | 0.621202 | ||||||||
\(86\) | −4.72163 | − | 2.82265i | −0.509146 | − | 0.304374i | ||||
\(87\) | 0.213261 | + | 0.0215095i | 0.0228639 | + | 0.00230606i | ||||
\(88\) | −16.4588 | − | 0.751569i | −1.75451 | − | 0.0801175i | ||||
\(89\) | 10.1497i | 1.07586i | 0.842988 | + | 0.537932i | \(0.180794\pi\) | ||||
−0.842988 | + | 0.537932i | \(0.819206\pi\) | |||||||
\(90\) | −4.98233 | − | 4.54794i | −0.525184 | − | 0.479395i | ||||
\(91\) | − | 7.61448i | − | 0.798215i | ||||||
\(92\) | 0.946854 | + | 1.76167i | 0.0987164 | + | 0.183666i | ||||
\(93\) | −4.01483 | − | 0.404936i | −0.416319 | − | 0.0419899i | ||||
\(94\) | 3.45088 | − | 5.77252i | 0.355931 | − | 0.595390i | ||||
\(95\) | −5.06928 | −0.520097 | ||||||||
\(96\) | 9.21389 | − | 3.33230i | 0.940389 | − | 0.340102i | ||||
\(97\) | 2.76260 | 0.280500 | 0.140250 | − | 0.990116i | \(-0.455209\pi\) | ||||
0.140250 | + | 0.990116i | \(0.455209\pi\) | |||||||
\(98\) | 11.0424 | − | 18.4713i | 1.11545 | − | 1.86589i | ||||
\(99\) | 17.1234 | + | 3.48963i | 1.72097 | + | 0.350721i | ||||
\(100\) | −2.34044 | − | 4.35450i | −0.234044 | − | 0.435450i | ||||
\(101\) | − | 8.06147i | − | 0.802146i | −0.916046 | − | 0.401073i | \(-0.868637\pi\) | ||
0.916046 | − | 0.401073i | \(-0.131363\pi\) | |||||||
\(102\) | 5.26427 | − | 7.08037i | 0.521241 | − | 0.701061i | ||||
\(103\) | 5.26379i | 0.518656i | 0.965789 | + | 0.259328i | \(0.0835011\pi\) | ||||
−0.965789 | + | 0.259328i | \(0.916499\pi\) | |||||||
\(104\) | −4.56445 | − | 0.208430i | −0.447581 | − | 0.0204382i | ||||
\(105\) | −1.30266 | + | 12.9155i | −0.127127 | + | 1.26043i | ||||
\(106\) | −10.1457 | − | 6.06520i | −0.985434 | − | 0.589105i | ||||
\(107\) | −15.9961 | −1.54640 | −0.773199 | − | 0.634163i | \(-0.781345\pi\) | ||||
−0.773199 | + | 0.634163i | \(0.781345\pi\) | |||||||
\(108\) | −10.2021 | + | 1.97918i | −0.981698 | + | 0.190447i | ||||
\(109\) | 3.17515 | 0.304125 | 0.152062 | − | 0.988371i | \(-0.451409\pi\) | ||||
0.152062 | + | 0.988371i | \(0.451409\pi\) | |||||||
\(110\) | −11.2428 | − | 6.72108i | −1.07196 | − | 0.640830i | ||||
\(111\) | −0.293876 | + | 2.91370i | −0.0278935 | + | 0.276556i | ||||
\(112\) | −15.7247 | − | 10.4024i | −1.48584 | − | 0.982935i | ||||
\(113\) | 3.05167i | 0.287077i | 0.989645 | + | 0.143538i | \(0.0458481\pi\) | ||||
−0.989645 | + | 0.143538i | \(0.954152\pi\) | |||||||
\(114\) | −4.65953 | + | 6.26700i | −0.436405 | + | 0.586959i | ||||
\(115\) | 1.59003i | 0.148271i | ||||||||
\(116\) | −0.218008 | + | 0.117174i | −0.0202415 | + | 0.0108793i | ||||
\(117\) | 4.74877 | + | 0.967767i | 0.439024 | + | 0.0894701i | ||||
\(118\) | −5.08581 | + | 8.50737i | −0.468187 | + | 0.783167i | ||||
\(119\) | −16.9778 | −1.55635 | ||||||||
\(120\) | 7.70647 | + | 1.13441i | 0.703501 | + | 0.103557i | ||||
\(121\) | 22.9320 | 2.08473 | ||||||||
\(122\) | −1.49101 | + | 2.49412i | −0.134990 | + | 0.225807i | ||||
\(123\) | −15.3830 | − | 1.55153i | −1.38704 | − | 0.139897i | ||||
\(124\) | 4.10420 | − | 2.20591i | 0.368568 | − | 0.198096i | ||||
\(125\) | − | 11.8804i | − | 1.06261i | ||||||
\(126\) | 14.7697 | + | 13.4820i | 1.31579 | + | 1.20107i | ||||
\(127\) | 7.26174i | 0.644375i | 0.946676 | + | 0.322188i | \(0.104418\pi\) | ||||
−0.946676 | + | 0.322188i | \(0.895582\pi\) | |||||||
\(128\) | −6.66608 | + | 9.14130i | −0.589204 | + | 0.807984i | ||||
\(129\) | −6.70333 | − | 0.676098i | −0.590195 | − | 0.0595271i | ||||
\(130\) | −3.11792 | − | 1.86393i | −0.273460 | − | 0.163478i | ||||
\(131\) | 9.25091 | 0.808256 | 0.404128 | − | 0.914703i | \(-0.367575\pi\) | ||||
0.404128 | + | 0.914703i | \(0.367575\pi\) | |||||||
\(132\) | −18.6431 | + | 7.72132i | −1.62267 | + | 0.672054i | ||||
\(133\) | 15.0275 | 1.30305 | ||||||||
\(134\) | −13.4196 | − | 8.02241i | −1.15928 | − | 0.693030i | ||||
\(135\) | −7.88920 | − | 2.45391i | −0.678994 | − | 0.211199i | ||||
\(136\) | −0.464731 | + | 10.1772i | −0.0398503 | + | 0.872692i | ||||
\(137\) | 10.5742i | 0.903412i | 0.892167 | + | 0.451706i | \(0.149184\pi\) | ||||
−0.892167 | + | 0.451706i | \(0.850816\pi\) | |||||||
\(138\) | 1.96571 | + | 1.46151i | 0.167332 | + | 0.124412i | ||||
\(139\) | − | 0.657922i | − | 0.0558042i | −0.999611 | − | 0.0279021i | \(-0.991117\pi\) | ||
0.999611 | − | 0.0279021i | \(-0.00888267\pi\) | |||||||
\(140\) | −7.09631 | − | 13.2030i | −0.599747 | − | 1.11586i | ||||
\(141\) | 0.826576 | − | 8.19528i | 0.0696102 | − | 0.690167i | ||||
\(142\) | 1.08087 | − | 1.80804i | 0.0907044 | − | 0.151727i | ||||
\(143\) | 9.41024 | 0.786924 | ||||||||
\(144\) | 8.48599 | − | 8.48457i | 0.707166 | − | 0.707048i | ||||
\(145\) | −0.196767 | −0.0163406 | ||||||||
\(146\) | −5.30814 | + | 8.87928i | −0.439305 | + | 0.734854i | ||||
\(147\) | 2.64494 | − | 26.2239i | 0.218151 | − | 2.16291i | ||||
\(148\) | −1.60090 | − | 2.97856i | −0.131594 | − | 0.244836i | ||||
\(149\) | 5.02881i | 0.411976i | 0.978555 | + | 0.205988i | \(0.0660408\pi\) | ||||
−0.978555 | + | 0.205988i | \(0.933959\pi\) | |||||||
\(150\) | −4.85885 | − | 3.61256i | −0.396723 | − | 0.294965i | ||||
\(151\) | − | 20.7363i | − | 1.68749i | −0.536740 | − | 0.843747i | \(-0.680345\pi\) | ||
0.536740 | − | 0.843747i | \(-0.319655\pi\) | |||||||
\(152\) | 0.411344 | − | 9.00812i | 0.0333644 | − | 0.730655i | ||||
\(153\) | 2.15781 | − | 10.5882i | 0.174448 | − | 0.856006i | ||||
\(154\) | 33.3283 | + | 19.9241i | 2.68567 | + | 1.60553i | ||||
\(155\) | 3.70433 | 0.297539 | ||||||||
\(156\) | −5.17023 | + | 2.14132i | −0.413949 | + | 0.171443i | ||||
\(157\) | −18.5129 | −1.47749 | −0.738744 | − | 0.673986i | \(-0.764581\pi\) | ||||
−0.738744 | + | 0.673986i | \(0.764581\pi\) | |||||||
\(158\) | 13.7977 | + | 8.24844i | 1.09769 | + | 0.656210i | ||||
\(159\) | −14.4039 | − | 1.45277i | −1.14230 | − | 0.115212i | ||||
\(160\) | −8.10871 | + | 3.89243i | −0.641049 | + | 0.307724i | ||||
\(161\) | − | 4.71351i | − | 0.371477i | ||||||
\(162\) | −10.2852 | + | 7.49763i | −0.808083 | + | 0.589069i | ||||
\(163\) | − | 10.0303i | − | 0.785637i | −0.919616 | − | 0.392818i | \(-0.871500\pi\) | ||
0.919616 | − | 0.392818i | \(-0.128500\pi\) | |||||||
\(164\) | 15.7254 | − | 8.45204i | 1.22795 | − | 0.659994i | ||||
\(165\) | −15.9615 | − | 1.60987i | −1.24260 | − | 0.125328i | ||||
\(166\) | −11.7185 | + | 19.6023i | −0.909532 | + | 1.52143i | ||||
\(167\) | −14.9741 | −1.15873 | −0.579365 | − | 0.815068i | \(-0.696699\pi\) | ||||
−0.579365 | + | 0.815068i | \(0.696699\pi\) | |||||||
\(168\) | −22.8452 | − | 3.36285i | −1.76255 | − | 0.259450i | ||||
\(169\) | −10.3903 | −0.799253 | ||||||||
\(170\) | −4.15596 | + | 6.95195i | −0.318748 | + | 0.533190i | ||||
\(171\) | −1.90992 | + | 9.37187i | −0.146056 | + | 0.716685i | ||||
\(172\) | 6.85253 | − | 3.68308i | 0.522501 | − | 0.280832i | ||||
\(173\) | − | 14.3282i | − | 1.08935i | −0.838646 | − | 0.544676i | \(-0.816653\pi\) | ||
0.838646 | − | 0.544676i | \(-0.183347\pi\) | |||||||
\(174\) | −0.180863 | + | 0.243258i | −0.0137112 | + | 0.0184413i | ||||
\(175\) | 11.6509i | 0.880725i | ||||||||
\(176\) | 12.8557 | − | 19.4331i | 0.969032 | − | 1.46482i | ||||
\(177\) | −1.21818 | + | 12.0780i | −0.0915643 | + | 0.907836i | ||||
\(178\) | −12.3202 | − | 7.36515i | −0.923435 | − | 0.552041i | ||||
\(179\) | 5.23034 | 0.390934 | 0.195467 | − | 0.980710i | \(-0.437378\pi\) | ||||
0.195467 | + | 0.980710i | \(0.437378\pi\) | |||||||
\(180\) | 9.13596 | − | 2.74757i | 0.680954 | − | 0.204791i | ||||
\(181\) | −2.35805 | −0.175273 | −0.0876363 | − | 0.996153i | \(-0.527931\pi\) | ||||
−0.0876363 | + | 0.996153i | \(0.527931\pi\) | |||||||
\(182\) | 9.24282 | + | 5.52548i | 0.685124 | + | 0.409576i | ||||
\(183\) | −0.357137 | + | 3.54091i | −0.0264003 | + | 0.261752i | ||||
\(184\) | −2.82548 | − | 0.129022i | −0.208297 | − | 0.00951163i | ||||
\(185\) | − | 2.68836i | − | 0.197652i | ||||||
\(186\) | 3.40491 | − | 4.57955i | 0.249660 | − | 0.335789i | ||||
\(187\) | − | 20.9818i | − | 1.53434i | ||||||
\(188\) | 4.50281 | + | 8.37769i | 0.328401 | + | 0.611006i | ||||
\(189\) | 23.3869 | + | 7.27441i | 1.70115 | + | 0.529136i | ||||
\(190\) | 3.67854 | − | 6.15334i | 0.266869 | − | 0.446410i | ||||
\(191\) | −5.10821 | −0.369617 | −0.184808 | − | 0.982775i | \(-0.559166\pi\) | ||||
−0.184808 | + | 0.982775i | \(0.559166\pi\) | |||||||
\(192\) | −2.64118 | + | 13.6024i | −0.190611 | + | 0.981666i | ||||
\(193\) | 10.1807 | 0.732826 | 0.366413 | − | 0.930452i | \(-0.380586\pi\) | ||||
0.366413 | + | 0.930452i | \(0.380586\pi\) | |||||||
\(194\) | −2.00469 | + | 3.35338i | −0.143929 | + | 0.240759i | ||||
\(195\) | −4.42653 | − | 0.446460i | −0.316991 | − | 0.0319717i | ||||
\(196\) | 14.4084 | + | 26.8076i | 1.02917 | + | 1.91483i | ||||
\(197\) | − | 7.11940i | − | 0.507236i | −0.967304 | − | 0.253618i | \(-0.918379\pi\) | ||
0.967304 | − | 0.253618i | \(-0.0816206\pi\) | |||||||
\(198\) | −16.6615 | + | 18.2529i | −1.18408 | + | 1.29718i | ||||
\(199\) | 5.76508i | 0.408675i | 0.978900 | + | 0.204338i | \(0.0655041\pi\) | ||||
−0.978900 | + | 0.204338i | \(0.934496\pi\) | |||||||
\(200\) | 6.98405 | + | 0.318918i | 0.493847 | + | 0.0225509i | ||||
\(201\) | −19.0519 | − | 1.92158i | −1.34382 | − | 0.135537i | ||||
\(202\) | 9.78540 | + | 5.84983i | 0.688498 | + | 0.411593i | ||||
\(203\) | 0.583301 | 0.0409397 | ||||||||
\(204\) | 4.77446 | + | 11.5279i | 0.334279 | + | 0.807116i | ||||
\(205\) | 14.1933 | 0.991304 | ||||||||
\(206\) | −6.38944 | − | 3.81969i | −0.445173 | − | 0.266130i | ||||
\(207\) | 2.93958 | + | 0.599066i | 0.204315 | + | 0.0416380i | ||||
\(208\) | 3.56521 | − | 5.38930i | 0.247203 | − | 0.373681i | ||||
\(209\) | 18.5715i | 1.28462i | ||||||||
\(210\) | −14.7322 | − | 10.9534i | −1.01662 | − | 0.755858i | ||||
\(211\) | 11.7428i | 0.808404i | 0.914670 | + | 0.404202i | \(0.132451\pi\) | ||||
−0.914670 | + | 0.404202i | \(0.867549\pi\) | |||||||
\(212\) | 14.7245 | − | 7.91406i | 1.01128 | − | 0.543540i | ||||
\(213\) | 0.258896 | − | 2.56688i | 0.0177393 | − | 0.175880i | ||||
\(214\) | 11.6076 | − | 19.4168i | 0.793479 | − | 1.32730i | ||||
\(215\) | 6.18490 | 0.421807 | ||||||||
\(216\) | 5.00077 | − | 13.8200i | 0.340259 | − | 0.940332i | ||||
\(217\) | −10.9812 | −0.745451 | ||||||||
\(218\) | −2.30406 | + | 3.85415i | −0.156051 | + | 0.261036i | ||||
\(219\) | −1.27144 | + | 12.6060i | −0.0859158 | + | 0.851832i | ||||
\(220\) | 16.3167 | − | 8.76986i | 1.10007 | − | 0.591264i | ||||
\(221\) | − | 5.81880i | − | 0.391415i | ||||||
\(222\) | −3.32354 | − | 2.47106i | −0.223061 | − | 0.165847i | ||||
\(223\) | 19.2029i | 1.28592i | 0.765899 | + | 0.642960i | \(0.222294\pi\) | ||||
−0.765899 | + | 0.642960i | \(0.777706\pi\) | |||||||
\(224\) | 24.0376 | − | 11.5388i | 1.60608 | − | 0.770968i | ||||
\(225\) | −7.26607 | − | 1.48078i | −0.484405 | − | 0.0987184i | ||||
\(226\) | −3.70426 | − | 2.21445i | −0.246404 | − | 0.147303i | ||||
\(227\) | 10.9685 | 0.728005 | 0.364003 | − | 0.931398i | \(-0.381410\pi\) | ||||
0.364003 | + | 0.931398i | \(0.381410\pi\) | |||||||
\(228\) | −4.22599 | − | 10.2036i | −0.279873 | − | 0.675752i | ||||
\(229\) | −14.5456 | −0.961200 | −0.480600 | − | 0.876940i | \(-0.659581\pi\) | ||||
−0.480600 | + | 0.876940i | \(0.659581\pi\) | |||||||
\(230\) | −1.93005 | − | 1.15381i | −0.127264 | − | 0.0760800i | ||||
\(231\) | 47.3164 | + | 4.77234i | 3.11319 | + | 0.313997i | ||||
\(232\) | 0.0159666 | − | 0.349656i | 0.00104826 | − | 0.0229560i | ||||
\(233\) | − | 16.0184i | − | 1.04940i | −0.851288 | − | 0.524699i | \(-0.824178\pi\) | ||
0.851288 | − | 0.524699i | \(-0.175822\pi\) | |||||||
\(234\) | −4.62068 | + | 5.06202i | −0.302063 | + | 0.330915i | ||||
\(235\) | 7.56146i | 0.493255i | ||||||||
\(236\) | −6.63612 | − | 12.3468i | −0.431975 | − | 0.803709i | ||||
\(237\) | 19.5887 | + | 1.97572i | 1.27242 | + | 0.128336i | ||||
\(238\) | 12.3200 | − | 20.6085i | 0.798588 | − | 1.33585i | ||||
\(239\) | 25.3265 | 1.63823 | 0.819117 | − | 0.573627i | \(-0.194464\pi\) | ||||
0.819117 | + | 0.573627i | \(0.194464\pi\) | |||||||
\(240\) | −6.96922 | + | 8.53130i | −0.449862 | + | 0.550693i | ||||
\(241\) | −25.0758 | −1.61527 | −0.807636 | − | 0.589682i | \(-0.799253\pi\) | ||||
−0.807636 | + | 0.589682i | \(0.799253\pi\) | |||||||
\(242\) | −16.6407 | + | 27.8360i | −1.06970 | + | 1.78936i | ||||
\(243\) | −7.50905 | + | 13.6607i | −0.481706 | + | 0.876333i | ||||
\(244\) | −1.94552 | − | 3.61973i | −0.124549 | − | 0.231729i | ||||
\(245\) | 24.1957i | 1.54581i | ||||||||
\(246\) | 13.0461 | − | 17.5468i | 0.831786 | − | 1.11874i | ||||
\(247\) | 5.15036i | 0.327709i | ||||||||
\(248\) | −0.300586 | + | 6.58260i | −0.0190872 | + | 0.417995i | ||||
\(249\) | −2.80689 | + | 27.8295i | −0.177879 | + | 1.76362i | ||||
\(250\) | 14.4210 | + | 8.62105i | 0.912063 | + | 0.545243i | ||||
\(251\) | −7.30711 | −0.461220 | −0.230610 | − | 0.973046i | \(-0.574072\pi\) | ||||
−0.230610 | + | 0.973046i | \(0.574072\pi\) | |||||||
\(252\) | −27.0828 | + | 8.14493i | −1.70606 | + | 0.513082i | ||||
\(253\) | 5.82512 | 0.366222 | ||||||||
\(254\) | −8.81465 | − | 5.26951i | −0.553080 | − | 0.330638i | ||||
\(255\) | −0.995461 | + | 9.86973i | −0.0623382 | + | 0.618067i | ||||
\(256\) | −6.25888 | − | 14.7250i | −0.391180 | − | 0.920314i | ||||
\(257\) | − | 15.5116i | − | 0.967585i | −0.875183 | − | 0.483793i | \(-0.839259\pi\) | ||
0.875183 | − | 0.483793i | \(-0.160741\pi\) | |||||||
\(258\) | 5.68497 | − | 7.64621i | 0.353931 | − | 0.476032i | ||||
\(259\) | 7.96942i | 0.495196i | ||||||||
\(260\) | 4.52506 | − | 2.43211i | 0.280632 | − | 0.150833i | ||||
\(261\) | −0.0741349 | + | 0.363775i | −0.00458884 | + | 0.0225171i | ||||
\(262\) | −6.71295 | + | 11.2292i | −0.414728 | + | 0.693742i | ||||
\(263\) | 21.9697 | 1.35471 | 0.677355 | − | 0.735656i | \(-0.263126\pi\) | ||||
0.677355 | + | 0.735656i | \(0.263126\pi\) | |||||||
\(264\) | 4.15593 | − | 28.2329i | 0.255780 | − | 1.73761i | ||||
\(265\) | 13.2899 | 0.816391 | ||||||||
\(266\) | −10.9047 | + | 18.2411i | −0.668612 | + | 1.11843i | ||||
\(267\) | −17.4910 | − | 1.76414i | −1.07043 | − | 0.107964i | ||||
\(268\) | 19.4760 | − | 10.4679i | 1.18968 | − | 0.639427i | ||||
\(269\) | − | 8.85430i | − | 0.539856i | −0.962880 | − | 0.269928i | \(-0.913000\pi\) | ||
0.962880 | − | 0.269928i | \(-0.0870000\pi\) | |||||||
\(270\) | 8.70350 | − | 7.79560i | 0.529678 | − | 0.474425i | ||||
\(271\) | − | 14.0767i | − | 0.855096i | −0.903993 | − | 0.427548i | \(-0.859377\pi\) | ||
0.903993 | − | 0.427548i | \(-0.140623\pi\) | |||||||
\(272\) | −12.0164 | − | 7.94927i | −0.728601 | − | 0.481995i | ||||
\(273\) | 13.1221 | + | 1.32350i | 0.794185 | + | 0.0801016i | ||||
\(274\) | −12.8354 | − | 7.67318i | −0.775417 | − | 0.463554i | ||||
\(275\) | −14.3986 | −0.868267 | ||||||||
\(276\) | −3.20047 | + | 1.32552i | −0.192646 | + | 0.0797870i | ||||
\(277\) | −24.2427 | −1.45660 | −0.728301 | − | 0.685257i | \(-0.759690\pi\) | ||||
−0.728301 | + | 0.685257i | \(0.759690\pi\) | |||||||
\(278\) | 0.798617 | + | 0.477423i | 0.0478979 | + | 0.0286339i | ||||
\(279\) | 1.39566 | − | 6.84841i | 0.0835559 | − | 0.410003i | ||||
\(280\) | 21.1759 | + | 0.966971i | 1.26550 | + | 0.0577876i | ||||
\(281\) | 29.0638i | 1.73380i | 0.498479 | + | 0.866902i | \(0.333892\pi\) | ||||
−0.498479 | + | 0.866902i | \(0.666108\pi\) | |||||||
\(282\) | 9.34801 | + | 6.95027i | 0.556666 | + | 0.413882i | ||||
\(283\) | − | 11.1372i | − | 0.662038i | −0.943624 | − | 0.331019i | \(-0.892608\pi\) | ||
0.943624 | − | 0.331019i | \(-0.107392\pi\) | |||||||
\(284\) | 1.41035 | + | 2.62402i | 0.0836888 | + | 0.155707i | ||||
\(285\) | 0.881106 | − | 8.73593i | 0.0521922 | − | 0.517472i | ||||
\(286\) | −6.82858 | + | 11.4226i | −0.403782 | + | 0.675433i | ||||
\(287\) | −42.0749 | −2.48360 | ||||||||
\(288\) | 4.14109 | + | 16.4576i | 0.244016 | + | 0.969771i | ||||
\(289\) | 4.02596 | 0.236821 | ||||||||
\(290\) | 0.142785 | − | 0.238846i | 0.00838462 | − | 0.0140255i | ||||
\(291\) | −0.480176 | + | 4.76082i | −0.0281484 | + | 0.279084i | ||||
\(292\) | −6.92622 | − | 12.8866i | −0.405326 | − | 0.754129i | ||||
\(293\) | 18.2693i | 1.06731i | 0.845704 | + | 0.533653i | \(0.179181\pi\) | ||||
−0.845704 | + | 0.533653i | \(0.820819\pi\) | |||||||
\(294\) | 29.9125 | + | 22.2400i | 1.74453 | + | 1.29706i | ||||
\(295\) | − | 11.1439i | − | 0.648821i | ||||||
\(296\) | 4.77722 | + | 0.218146i | 0.277670 | + | 0.0126795i | ||||
\(297\) | −8.98997 | + | 28.9023i | −0.521651 | + | 1.67708i | ||||
\(298\) | −6.10421 | − | 3.64917i | −0.353607 | − | 0.211391i | ||||
\(299\) | 1.61546 | 0.0934244 | ||||||||
\(300\) | 7.91094 | − | 3.27643i | 0.456739 | − | 0.189165i | ||||
\(301\) | −18.3346 | −1.05679 | ||||||||
\(302\) | 25.1707 | + | 15.0474i | 1.44841 | + | 0.865878i | ||||
\(303\) | 13.8924 | + | 1.40119i | 0.798097 | + | 0.0804961i | ||||
\(304\) | 10.6360 | + | 7.03608i | 0.610016 | + | 0.403547i | ||||
\(305\) | − | 3.26706i | − | 0.187071i | ||||||
\(306\) | 11.2867 | + | 10.3026i | 0.645215 | + | 0.588962i | ||||
\(307\) | − | 6.35510i | − | 0.362705i | −0.983418 | − | 0.181352i | \(-0.941953\pi\) | ||
0.983418 | − | 0.181352i | \(-0.0580474\pi\) | |||||||
\(308\) | −48.3696 | + | 25.9975i | −2.75612 | + | 1.48135i | ||||
\(309\) | −9.07113 | − | 0.914914i | −0.516038 | − | 0.0520476i | ||||
\(310\) | −2.68806 | + | 4.49649i | −0.152671 | + | 0.255384i | ||||
\(311\) | 17.0809 | 0.968568 | 0.484284 | − | 0.874911i | \(-0.339080\pi\) | ||||
0.484284 | + | 0.874911i | \(0.339080\pi\) | |||||||
\(312\) | 1.15255 | − | 7.82973i | 0.0652503 | − | 0.443271i | ||||
\(313\) | −12.1741 | −0.688120 | −0.344060 | − | 0.938948i | \(-0.611802\pi\) | ||||
−0.344060 | + | 0.938948i | \(0.611802\pi\) | |||||||
\(314\) | 13.4339 | − | 22.4718i | 0.758121 | − | 1.26816i | ||||
\(315\) | −22.0310 | − | 4.48977i | −1.24131 | − | 0.252970i | ||||
\(316\) | −20.0247 | + | 10.7628i | −1.12648 | + | 0.605455i | ||||
\(317\) | − | 13.9955i | − | 0.786068i | −0.919524 | − | 0.393034i | \(-0.871426\pi\) | ||
0.919524 | − | 0.393034i | \(-0.128574\pi\) | |||||||
\(318\) | 12.2157 | − | 16.4299i | 0.685020 | − | 0.921342i | ||||
\(319\) | 0.720863i | 0.0403606i | ||||||||
\(320\) | 1.15929 | − | 12.6673i | 0.0648062 | − | 0.708123i | ||||
\(321\) | 2.78032 | − | 27.5661i | 0.155182 | − | 1.53859i | ||||
\(322\) | 5.72148 | + | 3.42037i | 0.318846 | + | 0.190610i | ||||
\(323\) | 11.4836 | 0.638966 | ||||||||
\(324\) | −1.63748 | − | 17.9254i | −0.0909711 | − | 0.995854i | ||||
\(325\) | −3.99311 | −0.221498 | ||||||||
\(326\) | 12.1753 | + | 7.27855i | 0.674328 | + | 0.403121i | ||||
\(327\) | −0.551883 | + | 5.47177i | −0.0305192 | + | 0.302589i | ||||
\(328\) | −1.15171 | + | 25.2215i | −0.0635925 | + | 1.39263i | ||||
\(329\) | − | 22.4153i | − | 1.23580i | ||||||
\(330\) | 13.5366 | − | 18.2066i | 0.745167 | − | 1.00224i | ||||
\(331\) | 16.8569i | 0.926541i | 0.886217 | + | 0.463271i | \(0.153324\pi\) | ||||
−0.886217 | + | 0.463271i | \(0.846676\pi\) | |||||||
\(332\) | −15.2906 | − | 28.4490i | −0.839183 | − | 1.56134i | ||||
\(333\) | −4.97013 | − | 1.01288i | −0.272361 | − | 0.0555054i | ||||
\(334\) | 10.8660 | − | 18.1763i | 0.594561 | − | 0.994561i | ||||
\(335\) | 17.5784 | 0.960413 | ||||||||
\(336\) | 20.6597 | − | 25.2903i | 1.12708 | − | 1.37970i | ||||
\(337\) | 21.1061 | 1.14972 | 0.574861 | − | 0.818251i | \(-0.305056\pi\) | ||||
0.574861 | + | 0.818251i | \(0.305056\pi\) | |||||||
\(338\) | 7.53975 | − | 12.6122i | 0.410108 | − | 0.686015i | ||||
\(339\) | −5.25897 | − | 0.530419i | −0.285628 | − | 0.0288084i | ||||
\(340\) | −5.42282 | − | 10.0894i | −0.294094 | − | 0.547175i | ||||
\(341\) | − | 13.5709i | − | 0.734907i | ||||||
\(342\) | −9.99009 | − | 9.11909i | −0.540202 | − | 0.493104i | ||||
\(343\) | − | 38.7317i | − | 2.09132i | ||||||
\(344\) | −0.501870 | + | 10.9906i | −0.0270590 | + | 0.592572i | ||||
\(345\) | −2.74011 | − | 0.276367i | −0.147522 | − | 0.0148791i | ||||
\(346\) | 17.3923 | + | 10.3973i | 0.935013 | + | 0.558963i | ||||
\(347\) | 22.6326 | 1.21498 | 0.607490 | − | 0.794327i | \(-0.292177\pi\) | ||||
0.607490 | + | 0.794327i | \(0.292177\pi\) | |||||||
\(348\) | −0.164034 | − | 0.396061i | −0.00879316 | − | 0.0212311i | ||||
\(349\) | −16.6899 | −0.893392 | −0.446696 | − | 0.894686i | \(-0.647399\pi\) | ||||
−0.446696 | + | 0.894686i | \(0.647399\pi\) | |||||||
\(350\) | −14.1424 | − | 8.45451i | −0.755944 | − | 0.451913i | ||||
\(351\) | −2.49316 | + | 8.01538i | −0.133075 | + | 0.427829i | ||||
\(352\) | 14.2600 | + | 29.7065i | 0.760063 | + | 1.58336i | ||||
\(353\) | 31.7089i | 1.68769i | 0.536583 | + | 0.843847i | \(0.319715\pi\) | ||||
−0.536583 | + | 0.843847i | \(0.680285\pi\) | |||||||
\(354\) | −13.7768 | − | 10.2431i | −0.732231 | − | 0.544415i | ||||
\(355\) | 2.36836i | 0.125700i | ||||||||
\(356\) | 17.8803 | − | 9.61026i | 0.947656 | − | 0.509343i | ||||
\(357\) | 2.95096 | − | 29.2580i | 0.156182 | − | 1.54850i | ||||
\(358\) | −3.79541 | + | 6.34884i | −0.200594 | + | 0.335547i | ||||
\(359\) | 8.49888 | 0.448554 | 0.224277 | − | 0.974525i | \(-0.427998\pi\) | ||||
0.224277 | + | 0.974525i | \(0.427998\pi\) | |||||||
\(360\) | −3.29441 | + | 13.0834i | −0.173631 | + | 0.689558i | ||||
\(361\) | 8.83557 | 0.465030 | ||||||||
\(362\) | 1.71113 | − | 2.86232i | 0.0899349 | − | 0.150440i | ||||
\(363\) | −3.98588 | + | 39.5189i | −0.209204 | + | 2.07421i | ||||
\(364\) | −13.4142 | + | 7.20980i | −0.703094 | + | 0.377896i | ||||
\(365\) | − | 11.6310i | − | 0.608796i | ||||||
\(366\) | −4.03897 | − | 3.00298i | −0.211120 | − | 0.156969i | ||||
\(367\) | − | 9.70568i | − | 0.506632i | −0.967384 | − | 0.253316i | \(-0.918479\pi\) | ||
0.967384 | − | 0.253316i | \(-0.0815213\pi\) | |||||||
\(368\) | 2.20693 | − | 3.33608i | 0.115044 | − | 0.173905i | ||||
\(369\) | 5.34753 | − | 26.2400i | 0.278381 | − | 1.36600i | ||||
\(370\) | 3.26326 | + | 1.95082i | 0.169649 | + | 0.101418i | ||||
\(371\) | −39.3968 | −2.04538 | ||||||||
\(372\) | 3.08810 | + | 7.45621i | 0.160110 | + | 0.386586i | ||||
\(373\) | 21.5847 | 1.11762 | 0.558808 | − | 0.829297i | \(-0.311259\pi\) | ||||
0.558808 | + | 0.829297i | \(0.311259\pi\) | |||||||
\(374\) | 25.4687 | + | 15.2255i | 1.31695 | + | 0.787292i | ||||
\(375\) | 20.4736 | + | 2.06496i | 1.05725 | + | 0.106634i | ||||
\(376\) | −13.4367 | − | 0.613571i | −0.692946 | − | 0.0316425i | ||||
\(377\) | 0.199914i | 0.0102961i | ||||||||
\(378\) | −25.8008 | + | 23.1094i | −1.32705 | + | 1.18862i | ||||
\(379\) | 17.5731i | 0.902672i | 0.892354 | + | 0.451336i | \(0.149052\pi\) | ||||
−0.892354 | + | 0.451336i | \(0.850948\pi\) | |||||||
\(380\) | 4.79987 | + | 8.93038i | 0.246228 | + | 0.458119i | ||||
\(381\) | −12.5142 | − | 1.26218i | −0.641122 | − | 0.0646636i | ||||
\(382\) | 3.70679 | − | 6.20059i | 0.189656 | − | 0.317250i | ||||
\(383\) | −8.84200 | −0.451805 | −0.225902 | − | 0.974150i | \(-0.572533\pi\) | ||||
−0.225902 | + | 0.974150i | \(0.572533\pi\) | |||||||
\(384\) | −14.5946 | − | 13.0766i | −0.744778 | − | 0.667312i | ||||
\(385\) | −43.6570 | −2.22497 | ||||||||
\(386\) | −7.38769 | + | 12.3579i | −0.376023 | + | 0.628999i | ||||
\(387\) | 2.33025 | − | 11.4344i | 0.118453 | − | 0.581242i | ||||
\(388\) | −2.61578 | − | 4.86679i | −0.132796 | − | 0.247074i | ||||
\(389\) | 9.08929i | 0.460845i | 0.973091 | + | 0.230423i | \(0.0740108\pi\) | ||||
−0.973091 | + | 0.230423i | \(0.925989\pi\) | |||||||
\(390\) | 3.75406 | − | 5.04916i | 0.190094 | − | 0.255674i | ||||
\(391\) | − | 3.60195i | − | 0.182158i | ||||||
\(392\) | −42.9959 | − | 1.96335i | −2.17162 | − | 0.0991642i | ||||
\(393\) | −1.60793 | + | 15.9422i | −0.0811092 | + | 0.804176i | ||||
\(394\) | 8.64187 | + | 5.16622i | 0.435371 | + | 0.260270i | ||||
\(395\) | −18.0737 | −0.909387 | ||||||||
\(396\) | −10.0658 | − | 33.4699i | −0.505825 | − | 1.68192i | ||||
\(397\) | −17.2537 | −0.865940 | −0.432970 | − | 0.901408i | \(-0.642534\pi\) | ||||
−0.432970 | + | 0.901408i | \(0.642534\pi\) | |||||||
\(398\) | −6.99793 | − | 4.18345i | −0.350774 | − | 0.209697i | ||||
\(399\) | −2.61197 | + | 25.8970i | −0.130762 | + | 1.29647i | ||||
\(400\) | −5.45512 | + | 8.24615i | −0.272756 | + | 0.412308i | ||||
\(401\) | 1.20505i | 0.0601774i | 0.999547 | + | 0.0300887i | \(0.00957897\pi\) | ||||
−0.999547 | + | 0.0300887i | \(0.990421\pi\) | |||||||
\(402\) | 16.1576 | − | 21.7317i | 0.805867 | − | 1.08388i | ||||
\(403\) | − | 3.76357i | − | 0.187477i | ||||||
\(404\) | −14.2016 | + | 7.63304i | −0.706557 | + | 0.379758i | ||||
\(405\) | 5.60009 | − | 13.1690i | 0.278271 | − | 0.654373i | ||||
\(406\) | −0.423274 | + | 0.708038i | −0.0210067 | + | 0.0351394i | ||||
\(407\) | −9.84889 | −0.488191 | ||||||||
\(408\) | −17.4577 | − | 2.56981i | −0.864287 | − | 0.127225i | ||||
\(409\) | 1.68033 | 0.0830871 | 0.0415436 | − | 0.999137i | \(-0.486772\pi\) | ||||
0.0415436 | + | 0.999137i | \(0.486772\pi\) | |||||||
\(410\) | −10.2994 | + | 17.2285i | −0.508652 | + | 0.850856i | ||||
\(411\) | −18.2225 | − | 1.83793i | −0.898852 | − | 0.0906582i | ||||
\(412\) | 9.27304 | − | 4.98404i | 0.456850 | − | 0.245546i | ||||
\(413\) | 33.0351i | 1.62555i | ||||||||
\(414\) | −2.86029 | + | 3.13349i | −0.140576 | + | 0.154002i | ||||
\(415\) | − | 25.6772i | − | 1.26044i | ||||||
\(416\) | 3.95469 | + | 8.23839i | 0.193894 | + | 0.403920i | ||||
\(417\) | 1.13380 | + | 0.114355i | 0.0555225 | + | 0.00560000i | ||||
\(418\) | −22.5429 | − | 13.4765i | −1.10261 | − | 0.659155i | ||||
\(419\) | −13.1658 | −0.643193 | −0.321596 | − | 0.946877i | \(-0.604219\pi\) | ||||
−0.321596 | + | 0.946877i | \(0.604219\pi\) | |||||||
\(420\) | 23.9863 | − | 9.93427i | 1.17041 | − | 0.484743i | ||||
\(421\) | 12.1317 | 0.591264 | 0.295632 | − | 0.955302i | \(-0.404470\pi\) | ||||
0.295632 | + | 0.955302i | \(0.404470\pi\) | |||||||
\(422\) | −14.2539 | − | 8.52117i | −0.693870 | − | 0.414804i | ||||
\(423\) | 13.9793 | + | 2.84889i | 0.679697 | + | 0.138518i | ||||
\(424\) | −1.07840 | + | 23.6161i | −0.0523718 | + | 1.14690i | ||||
\(425\) | 8.90333i | 0.431875i | ||||||||
\(426\) | 2.92794 | + | 2.17693i | 0.141859 | + | 0.105473i | ||||
\(427\) | 9.68494i | 0.468687i | ||||||||
\(428\) | 15.1459 | + | 28.1797i | 0.732107 | + | 1.36212i | ||||
\(429\) | −1.63562 | + | 16.2167i | −0.0789685 | + | 0.782952i | ||||
\(430\) | −4.48809 | + | 7.50753i | −0.216435 | + | 0.362045i | ||||
\(431\) | 1.65853 | 0.0798884 | 0.0399442 | − | 0.999202i | \(-0.487282\pi\) | ||||
0.0399442 | + | 0.999202i | \(0.487282\pi\) | |||||||
\(432\) | 13.1466 | + | 16.0987i | 0.632514 | + | 0.774549i | ||||
\(433\) | 22.2218 | 1.06791 | 0.533956 | − | 0.845512i | \(-0.320705\pi\) | ||||
0.533956 | + | 0.845512i | \(0.320705\pi\) | |||||||
\(434\) | 7.96853 | − | 13.3295i | 0.382502 | − | 0.639836i | ||||
\(435\) | 0.0342007 | − | 0.339091i | 0.00163980 | − | 0.0162582i | ||||
\(436\) | −3.00641 | − | 5.59356i | −0.143981 | − | 0.267883i | ||||
\(437\) | 3.18817i | 0.152511i | ||||||||
\(438\) | −14.3791 | − | 10.6909i | −0.687060 | − | 0.510831i | ||||
\(439\) | 7.58986i | 0.362244i | 0.983461 | + | 0.181122i | \(0.0579730\pi\) | ||||
−0.983461 | + | 0.181122i | \(0.942027\pi\) | |||||||
\(440\) | −1.19502 | + | 26.1699i | −0.0569702 | + | 1.24760i | ||||
\(441\) | 44.7321 | + | 9.11609i | 2.13010 | + | 0.434100i | ||||
\(442\) | 7.06314 | + | 4.22243i | 0.335959 | + | 0.200841i | ||||
\(443\) | −33.2024 | −1.57749 | −0.788747 | − | 0.614717i | \(-0.789270\pi\) | ||||
−0.788747 | + | 0.614717i | \(0.789270\pi\) | |||||||
\(444\) | 5.41123 | − | 2.24114i | 0.256805 | − | 0.106360i | ||||
\(445\) | 16.1383 | 0.765028 | ||||||||
\(446\) | −23.3094 | − | 13.9346i | −1.10373 | − | 0.659825i | ||||
\(447\) | −8.66618 | − | 0.874072i | −0.409896 | − | 0.0413422i | ||||
\(448\) | −3.43662 | + | 37.5511i | −0.162365 | + | 1.77412i | ||||
\(449\) | − | 18.6239i | − | 0.878918i | −0.898263 | − | 0.439459i | \(-0.855170\pi\) | ||
0.898263 | − | 0.439459i | \(-0.144830\pi\) | |||||||
\(450\) | 7.07009 | − | 7.74538i | 0.333287 | − | 0.365121i | ||||
\(451\) | − | 51.9976i | − | 2.44847i | ||||||
\(452\) | 5.37602 | − | 2.88949i | 0.252867 | − | 0.135910i | ||||
\(453\) | 35.7350 | + | 3.60423i | 1.67898 | + | 0.169342i | ||||
\(454\) | −7.95933 | + | 13.3141i | −0.373550 | + | 0.624861i | ||||
\(455\) | −12.1072 | −0.567596 | ||||||||
\(456\) | 15.4523 | + | 2.27460i | 0.723619 | + | 0.106518i | ||||
\(457\) | 4.64391 | 0.217233 | 0.108616 | − | 0.994084i | \(-0.465358\pi\) | ||||
0.108616 | + | 0.994084i | \(0.465358\pi\) | |||||||
\(458\) | 10.5551 | − | 17.6561i | 0.493205 | − | 0.825017i | ||||
\(459\) | 17.8717 | + | 5.55893i | 0.834179 | + | 0.259469i | ||||
\(460\) | 2.80110 | − | 1.50553i | 0.130602 | − | 0.0701955i | ||||
\(461\) | 20.6179i | 0.960273i | 0.877194 | + | 0.480136i | \(0.159413\pi\) | ||||
−0.877194 | + | 0.480136i | \(0.840587\pi\) | |||||||
\(462\) | −40.1282 | + | 53.9719i | −1.86693 | + | 2.51100i | ||||
\(463\) | 27.4269i | 1.27463i | 0.770602 | + | 0.637317i | \(0.219956\pi\) | ||||
−0.770602 | + | 0.637317i | \(0.780044\pi\) | |||||||
\(464\) | 0.412843 | + | 0.273110i | 0.0191657 | + | 0.0126788i | ||||
\(465\) | −0.643860 | + | 6.38370i | −0.0298583 | + | 0.296037i | ||||
\(466\) | 19.4439 | + | 11.6238i | 0.900719 | + | 0.538461i | ||||
\(467\) | 16.4512 | 0.761273 | 0.380636 | − | 0.924725i | \(-0.375705\pi\) | ||||
0.380636 | + | 0.924725i | \(0.375705\pi\) | |||||||
\(468\) | −2.79151 | − | 9.28208i | −0.129038 | − | 0.429064i | ||||
\(469\) | −52.1099 | −2.40621 | ||||||||
\(470\) | −9.17847 | − | 5.48700i | −0.423371 | − | 0.253096i | ||||
\(471\) | 3.21778 | − | 31.9034i | 0.148267 | − | 1.47003i | ||||
\(472\) | 19.8027 | + | 0.904264i | 0.911492 | + | 0.0416221i | ||||
\(473\) | − | 22.6586i | − | 1.04184i | ||||||
\(474\) | −16.6128 | + | 22.3440i | −0.763052 | + | 1.02629i | ||||
\(475\) | − | 7.88055i | − | 0.361584i | ||||||
\(476\) | 16.0755 | + | 29.9092i | 0.736820 | + | 1.37089i | ||||
\(477\) | 5.00715 | − | 24.5698i | 0.229262 | − | 1.12497i | ||||
\(478\) | −18.3782 | + | 30.7425i | −0.840602 | + | 1.40613i | ||||
\(479\) | −27.0376 | −1.23538 | −0.617690 | − | 0.786421i | \(-0.711931\pi\) | ||||
−0.617690 | + | 0.786421i | \(0.711931\pi\) | |||||||
\(480\) | −5.29846 | − | 14.6503i | −0.241841 | − | 0.668694i | ||||
\(481\) | −2.73136 | −0.124539 | ||||||||
\(482\) | 18.1963 | − | 30.4382i | 0.828819 | − | 1.38642i | ||||
\(483\) | 8.12283 | + | 0.819269i | 0.369601 | + | 0.0372780i | ||||
\(484\) | −21.7133 | − | 40.3986i | −0.986967 | − | 1.83630i | ||||
\(485\) | − | 4.39262i | − | 0.199459i | ||||||
\(486\) | −11.1330 | − | 19.0278i | −0.505004 | − | 0.863117i | ||||
\(487\) | − | 20.2652i | − | 0.918304i | −0.888358 | − | 0.459152i | \(-0.848153\pi\) | ||
0.888358 | − | 0.459152i | \(-0.151847\pi\) | |||||||
\(488\) | 5.80557 | + | 0.265104i | 0.262806 | + | 0.0120007i | ||||
\(489\) | 17.2854 | + | 1.74340i | 0.781671 | + | 0.0788393i | ||||
\(490\) | −29.3700 | − | 17.5577i | −1.32680 | − | 0.793177i | ||||
\(491\) | 23.1339 | 1.04402 | 0.522010 | − | 0.852939i | \(-0.325182\pi\) | ||||
0.522010 | + | 0.852939i | \(0.325182\pi\) | |||||||
\(492\) | 11.8322 | + | 28.5688i | 0.533436 | + | 1.28798i | ||||
\(493\) | 0.445744 | 0.0200753 | ||||||||
\(494\) | −6.25175 | − | 3.73738i | −0.281280 | − | 0.168152i | ||||
\(495\) | 5.54861 | − | 27.2267i | 0.249392 | − | 1.22375i | ||||
\(496\) | −7.77215 | − | 5.14155i | −0.348980 | − | 0.230862i | ||||
\(497\) | − | 7.02082i | − | 0.314927i | ||||||
\(498\) | −31.7440 | − | 23.6017i | −1.42248 | − | 1.05762i | ||||
\(499\) | − | 0.361191i | − | 0.0161691i | −0.999967 | − | 0.00808457i | \(-0.997427\pi\) | ||
0.999967 | − | 0.00808457i | \(-0.00257343\pi\) | |||||||
\(500\) | −20.9293 | + | 11.2490i | −0.935986 | + | 0.503070i | ||||
\(501\) | 2.60269 | − | 25.8050i | 0.116280 | − | 1.15288i | ||||
\(502\) | 5.30243 | − | 8.86972i | 0.236659 | − | 0.395875i | ||||
\(503\) | −29.5066 | −1.31563 | −0.657817 | − | 0.753177i | \(-0.728520\pi\) | ||||
−0.657817 | + | 0.753177i | \(0.728520\pi\) | |||||||
\(504\) | 9.76602 | − | 38.7848i | 0.435013 | − | 1.72761i | ||||
\(505\) | −12.8180 | −0.570392 | ||||||||
\(506\) | −4.22702 | + | 7.07081i | −0.187914 | + | 0.314336i | ||||
\(507\) | 1.80597 | − | 17.9057i | 0.0802058 | − | 0.795219i | ||||
\(508\) | 12.7928 | − | 6.87581i | 0.567587 | − | 0.305065i | ||||
\(509\) | 5.79948i | 0.257057i | 0.991706 | + | 0.128529i | \(0.0410254\pi\) | ||||
−0.991706 | + | 0.128529i | \(0.958975\pi\) | |||||||
\(510\) | −11.2580 | − | 8.37034i | −0.498512 | − | 0.370645i | ||||
\(511\) | 34.4792i | 1.52527i | ||||||||
\(512\) | 22.4157 | + | 3.08794i | 0.990644 | + | 0.136469i | ||||
\(513\) | −15.8187 | − | 4.92034i | −0.698411 | − | 0.217238i | ||||
\(514\) | 18.8287 | + | 11.2560i | 0.830498 | + | 0.496482i | ||||
\(515\) | 8.36957 | 0.368808 | ||||||||
\(516\) | 5.15601 | + | 12.4492i | 0.226981 | + | 0.548045i | ||||
\(517\) | 27.7016 | 1.21832 | ||||||||
\(518\) | −9.67366 | − | 5.78304i | −0.425036 | − | 0.254092i | ||||
\(519\) | 24.6919 | + | 2.49042i | 1.08385 | + | 0.109318i | ||||
\(520\) | −0.331410 | + | 7.25761i | −0.0145333 | + | 0.318267i | ||||
\(521\) | 17.3884i | 0.761800i | 0.924616 | + | 0.380900i | \(0.124386\pi\) | ||||
−0.924616 | + | 0.380900i | \(0.875614\pi\) | |||||||
\(522\) | −0.387772 | − | 0.353963i | −0.0169723 | − | 0.0154926i | ||||
\(523\) | − | 6.03381i | − | 0.263840i | −0.991260 | − | 0.131920i | \(-0.957886\pi\) | ||
0.991260 | − | 0.131920i | \(-0.0421142\pi\) | |||||||
\(524\) | −8.75926 | − | 16.2970i | −0.382650 | − | 0.711938i | ||||
\(525\) | −20.0781 | − | 2.02508i | −0.876279 | − | 0.0883815i | ||||
\(526\) | −15.9424 | + | 26.6679i | −0.695121 | + | 1.16277i | ||||
\(527\) | −8.39155 | −0.365542 | ||||||||
\(528\) | 31.2547 | + | 25.5320i | 1.36019 | + | 1.11114i | ||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | −9.64385 | + | 16.1319i | −0.418902 | + | 0.700725i | ||||
\(531\) | −20.6023 | − | 4.19861i | −0.894065 | − | 0.182204i | ||||
\(532\) | −14.2288 | − | 26.4734i | −0.616898 | − | 1.14777i | ||||
\(533\) | − | 14.4203i | − | 0.624613i | ||||||
\(534\) | 14.8338 | − | 19.9513i | 0.641922 | − | 0.863376i | ||||
\(535\) | 25.4342i | 1.09962i | ||||||||
\(536\) | −1.42639 | + | 31.2369i | −0.0616108 | + | 1.34923i | ||||
\(537\) | −0.909100 | + | 9.01349i | −0.0392306 | + | 0.388961i | ||||
\(538\) | 10.7478 | + | 6.42516i | 0.463370 | + | 0.277008i | ||||
\(539\) | 88.6418 | 3.81807 | ||||||||
\(540\) | 3.14695 | + | 16.2216i | 0.135423 | + | 0.698068i | ||||
\(541\) | 8.29951 | 0.356824 | 0.178412 | − | 0.983956i | \(-0.442904\pi\) | ||||
0.178412 | + | 0.983956i | \(0.442904\pi\) | |||||||
\(542\) | 17.0869 | + | 10.2148i | 0.733946 | + | 0.438762i | ||||
\(543\) | 0.409860 | − | 4.06365i | 0.0175888 | − | 0.174388i | ||||
\(544\) | 18.3689 | − | 8.81767i | 0.787562 | − | 0.378054i | ||||
\(545\) | − | 5.04859i | − | 0.216258i | ||||||
\(546\) | −11.1286 | + | 14.9678i | −0.476261 | + | 0.640564i | ||||
\(547\) | − | 11.1722i | − | 0.477687i | −0.971058 | − | 0.238844i | \(-0.923232\pi\) | ||
0.971058 | − | 0.238844i | \(-0.0767684\pi\) | |||||||
\(548\) | 18.6282 | − | 10.0122i | 0.795755 | − | 0.427700i | ||||
\(549\) | −6.04001 | − | 1.23091i | −0.257781 | − | 0.0525341i | ||||
\(550\) | 10.4484 | − | 17.4777i | 0.445520 | − | 0.745251i | ||||
\(551\) | −0.394539 | −0.0168079 | ||||||||
\(552\) | 0.713450 | − | 4.84675i | 0.0303664 | − | 0.206291i | ||||
\(553\) | 53.5780 | 2.27837 | ||||||||
\(554\) | 17.5918 | − | 29.4269i | 0.747404 | − | 1.25023i | ||||
\(555\) | 4.63287 | + | 0.467271i | 0.196654 | + | 0.0198346i | ||||
\(556\) | −1.15904 | + | 0.622956i | −0.0491542 | + | 0.0264192i | ||||
\(557\) | − | 15.3463i | − | 0.650243i | −0.945672 | − | 0.325121i | \(-0.894595\pi\) | ||
0.945672 | − | 0.325121i | \(-0.105405\pi\) | |||||||
\(558\) | 7.30016 | + | 6.66369i | 0.309040 | + | 0.282096i | ||||
\(559\) | − | 6.28382i | − | 0.265777i | ||||||
\(560\) | −16.5401 | + | 25.0026i | −0.698948 | + | 1.05655i | ||||
\(561\) | 36.1581 | + | 3.64690i | 1.52659 | + | 0.153972i | ||||
\(562\) | −35.2791 | − | 21.0903i | −1.48816 | − | 0.889639i | ||||
\(563\) | −1.52294 | −0.0641844 | −0.0320922 | − | 0.999485i | \(-0.510217\pi\) | ||||
−0.0320922 | + | 0.999485i | \(0.510217\pi\) | |||||||
\(564\) | −15.2200 | + | 6.30358i | −0.640877 | + | 0.265429i | ||||
\(565\) | 4.85224 | 0.204135 | ||||||||
\(566\) | 13.5189 | + | 8.08175i | 0.568240 | + | 0.339701i | ||||
\(567\) | −16.6010 | + | 39.0384i | −0.697176 | + | 1.63946i | ||||
\(568\) | −4.20858 | − | 0.192180i | −0.176588 | − | 0.00806368i | ||||
\(569\) | − | 12.3265i | − | 0.516756i | −0.966044 | − | 0.258378i | \(-0.916812\pi\) | ||
0.966044 | − | 0.258378i | \(-0.0831880\pi\) | |||||||
\(570\) | 9.96472 | + | 7.40879i | 0.417376 | + | 0.310320i | ||||
\(571\) | − | 11.2084i | − | 0.469056i | −0.972109 | − | 0.234528i | \(-0.924646\pi\) | ||
0.972109 | − | 0.234528i | \(-0.0753544\pi\) | |||||||
\(572\) | −8.91013 | − | 16.5777i | −0.372551 | − | 0.693149i | ||||
\(573\) | 0.887872 | − | 8.80301i | 0.0370914 | − | 0.367751i | ||||
\(574\) | 30.5318 | − | 51.0725i | 1.27437 | − | 2.13173i | ||||
\(575\) | −2.47181 | −0.103082 | ||||||||
\(576\) | −22.9820 | − | 6.91583i | −0.957582 | − | 0.288160i | ||||
\(577\) | 15.6586 | 0.651877 | 0.325938 | − | 0.945391i | \(-0.394320\pi\) | ||||
0.325938 | + | 0.945391i | \(0.394320\pi\) | |||||||
\(578\) | −2.92146 | + | 4.88691i | −0.121517 | + | 0.203269i | ||||
\(579\) | −1.76954 | + | 17.5445i | −0.0735397 | + | 0.729126i | ||||
\(580\) | 0.186310 | + | 0.346638i | 0.00773610 | + | 0.0143934i | ||||
\(581\) | 76.1180i | 3.15790i | ||||||||
\(582\) | −5.43047 | − | 4.03756i | −0.225100 | − | 0.167362i | ||||
\(583\) | − | 48.6879i | − | 2.01645i | ||||||
\(584\) | 20.6684 | + | 0.943794i | 0.855263 | + | 0.0390545i | ||||
\(585\) | 1.53878 | − | 7.55068i | 0.0636206 | − | 0.312182i | ||||
\(586\) | −22.1762 | − | 13.2572i | −0.916090 | − | 0.547650i | ||||
\(587\) | 25.1744 | 1.03906 | 0.519528 | − | 0.854453i | \(-0.326108\pi\) | ||||
0.519528 | + | 0.854453i | \(0.326108\pi\) | |||||||
\(588\) | −48.7021 | + | 20.1707i | −2.00844 | + | 0.831825i | ||||
\(589\) | 7.42756 | 0.306047 | ||||||||
\(590\) | 13.5270 | + | 8.08659i | 0.556896 | + | 0.332920i | ||||
\(591\) | 12.2689 | + | 1.23744i | 0.504676 | + | 0.0509016i | ||||
\(592\) | −3.73140 | + | 5.64052i | −0.153360 | + | 0.231824i | ||||
\(593\) | 3.72999i | 0.153172i | 0.997063 | + | 0.0765862i | \(0.0244020\pi\) | ||||
−0.997063 | + | 0.0765862i | \(0.975598\pi\) | |||||||
\(594\) | −28.5594 | − | 31.8855i | −1.17181 | − | 1.30828i | ||||
\(595\) | 26.9952i | 1.10670i | ||||||||
\(596\) | 8.85908 | − | 4.76155i | 0.362882 | − | 0.195041i | ||||
\(597\) | −9.93500 | − | 1.00204i | −0.406613 | − | 0.0410110i | ||||
\(598\) | −1.17226 | + | 1.96092i | −0.0479374 | + | 0.0801881i | ||||
\(599\) | −15.0630 | −0.615456 | −0.307728 | − | 0.951474i | \(-0.599569\pi\) | ||||
−0.307728 | + | 0.951474i | \(0.599569\pi\) | |||||||
\(600\) | −1.76351 | + | 11.9802i | −0.0719951 | + | 0.489091i | ||||
\(601\) | −19.9651 | −0.814393 | −0.407197 | − | 0.913340i | \(-0.633494\pi\) | ||||
−0.407197 | + | 0.913340i | \(0.633494\pi\) | |||||||
\(602\) | 13.3046 | − | 22.2554i | 0.542254 | − | 0.907064i | ||||
\(603\) | 6.62293 | − | 32.4983i | 0.269707 | − | 1.32343i | ||||
\(604\) | −36.5304 | + | 19.6342i | −1.48640 | + | 0.798906i | ||||
\(605\) | − | 36.4626i | − | 1.48241i | ||||||
\(606\) | −11.7819 | + | 15.8465i | −0.478607 | + | 0.643719i | ||||
\(607\) | 7.83568i | 0.318040i | 0.987275 | + | 0.159020i | \(0.0508335\pi\) | ||||
−0.987275 | + | 0.159020i | \(0.949167\pi\) | |||||||
\(608\) | −16.2588 | + | 7.80472i | −0.659381 | + | 0.316523i | ||||
\(609\) | −0.101385 | + | 1.00521i | −0.00410833 | + | 0.0407330i | ||||
\(610\) | 3.96572 | + | 2.37075i | 0.160567 | + | 0.0959891i | ||||
\(611\) | 7.68240 | 0.310797 | ||||||||
\(612\) | −20.6960 | + | 6.22416i | −0.836587 | + | 0.251597i | ||||
\(613\) | 35.7879 | 1.44546 | 0.722729 | − | 0.691131i | \(-0.242887\pi\) | ||||
0.722729 | + | 0.691131i | \(0.242887\pi\) | |||||||
\(614\) | 7.71412 | + | 4.61160i | 0.311317 | + | 0.186109i | ||||
\(615\) | −2.46698 | + | 24.4594i | −0.0994782 | + | 0.986300i | ||||
\(616\) | 3.54253 | − | 77.5786i | 0.142733 | − | 3.12573i | ||||
\(617\) | 29.1094i | 1.17190i | 0.810346 | + | 0.585951i | \(0.199279\pi\) | ||||
−0.810346 | + | 0.585951i | \(0.800721\pi\) | |||||||
\(618\) | 7.69306 | − | 10.3471i | 0.309460 | − | 0.416220i | ||||
\(619\) | 4.99308i | 0.200689i | 0.994953 | + | 0.100344i | \(0.0319945\pi\) | ||||
−0.994953 | + | 0.100344i | \(0.968006\pi\) | |||||||
\(620\) | −3.50746 | − | 6.52579i | −0.140863 | − | 0.262082i | ||||
\(621\) | −1.54331 | + | 4.96167i | −0.0619310 | + | 0.199105i | ||||
\(622\) | −12.3948 | + | 20.7336i | −0.496986 | + | 0.831341i | ||||
\(623\) | −47.8406 | −1.91669 | ||||||||
\(624\) | 8.66775 | + | 7.08069i | 0.346988 | + | 0.283454i | ||||
\(625\) | −6.53112 | −0.261245 | ||||||||
\(626\) | 8.83417 | − | 14.7775i | 0.353084 | − | 0.590627i | ||||
\(627\) | −32.0044 | − | 3.22796i | −1.27813 | − | 0.128912i | ||||
\(628\) | 17.5290 | + | 32.6135i | 0.699483 | + | 1.30142i | ||||
\(629\) | 6.09004i | 0.242826i | ||||||||
\(630\) | 21.4368 | − | 23.4843i | 0.854062 | − | 0.935636i | ||||
\(631\) | 18.0503i | 0.718571i | 0.933228 | + | 0.359286i | \(0.116980\pi\) | ||||
−0.933228 | + | 0.359286i | \(0.883020\pi\) | |||||||
\(632\) | 1.46658 | − | 32.1170i | 0.0583375 | − | 1.27755i | ||||
\(633\) | −20.2364 | − | 2.04104i | −0.804324 | − | 0.0811241i | ||||
\(634\) | 16.9885 | + | 10.1559i | 0.674698 | + | 0.403343i | ||||
\(635\) | 11.5464 | 0.458204 | ||||||||
\(636\) | 11.0791 | + | 26.7504i | 0.439313 | + | 1.06072i | ||||
\(637\) | 24.5827 | 0.974003 | ||||||||
\(638\) | −0.875018 | − | 0.523097i | −0.0346423 | − | 0.0207096i | ||||
\(639\) | 4.37853 | + | 0.892315i | 0.173212 | + | 0.0352994i | ||||
\(640\) | 14.5349 | + | 10.5993i | 0.574543 | + | 0.418973i | ||||
\(641\) | − | 12.0996i | − | 0.477907i | −0.971031 | − | 0.238953i | \(-0.923196\pi\) | ||
0.971031 | − | 0.238953i | \(-0.0768043\pi\) | |||||||
\(642\) | 31.4436 | + | 23.3784i | 1.24098 | + | 0.922670i | ||||
\(643\) | 6.78783i | 0.267686i | 0.991003 | + | 0.133843i | \(0.0427317\pi\) | ||||
−0.991003 | + | 0.133843i | \(0.957268\pi\) | |||||||
\(644\) | −8.30363 | + | 4.46301i | −0.327209 | + | 0.175867i | ||||
\(645\) | −1.07501 | + | 10.6585i | −0.0423287 | + | 0.419677i | ||||
\(646\) | −8.33313 | + | 13.9394i | −0.327863 | + | 0.548437i | ||||
\(647\) | 23.5484 | 0.925783 | 0.462892 | − | 0.886415i | \(-0.346812\pi\) | ||||
0.462892 | + | 0.886415i | \(0.346812\pi\) | |||||||
\(648\) | 22.9469 | + | 11.0200i | 0.901440 | + | 0.432905i | ||||
\(649\) | −40.8259 | −1.60256 | ||||||||
\(650\) | 2.89761 | − | 4.84702i | 0.113654 | − | 0.190116i | ||||
\(651\) | 1.90867 | − | 18.9239i | 0.0748067 | − | 0.741688i | ||||
\(652\) | −17.6701 | + | 9.49726i | −0.692015 | + | 0.371942i | ||||
\(653\) | − | 16.7517i | − | 0.655544i | −0.944757 | − | 0.327772i | \(-0.893702\pi\) | ||
0.944757 | − | 0.327772i | \(-0.106298\pi\) | |||||||
\(654\) | −6.24142 | − | 4.64051i | −0.244059 | − | 0.181458i | ||||
\(655\) | − | 14.7092i | − | 0.574736i | ||||||
\(656\) | −29.7794 | − | 19.7001i | −1.16269 | − | 0.769159i | ||||
\(657\) | −21.5030 | − | 4.38216i | −0.838911 | − | 0.170964i | ||||
\(658\) | 27.2088 | + | 16.2658i | 1.06071 | + | 0.634105i | ||||
\(659\) | −0.538650 | −0.0209828 | −0.0104914 | − | 0.999945i | \(-0.503340\pi\) | ||||
−0.0104914 | + | 0.999945i | \(0.503340\pi\) | |||||||
\(660\) | 12.2771 | + | 29.6431i | 0.477886 | + | 1.15386i | ||||
\(661\) | 43.5108 | 1.69238 | 0.846188 | − | 0.532885i | \(-0.178892\pi\) | ||||
0.846188 | + | 0.532885i | \(0.178892\pi\) | |||||||
\(662\) | −20.4618 | − | 12.2323i | −0.795269 | − | 0.475422i | ||||
\(663\) | 10.0276 | + | 1.01138i | 0.389439 | + | 0.0392788i | ||||
\(664\) | 45.6284 | + | 2.08356i | 1.77073 | + | 0.0808580i | ||||
\(665\) | − | 23.8941i | − | 0.926574i | ||||||
\(666\) | 4.83607 | − | 5.29798i | 0.187394 | − | 0.205292i | ||||
\(667\) | 0.123751i | 0.00479165i | ||||||||
\(668\) | 14.1783 | + | 26.3794i | 0.548574 | + | 1.02065i | ||||
\(669\) | −33.0925 | − | 3.33771i | −1.27943 | − | 0.129043i | ||||
\(670\) | −12.7559 | + | 21.3376i | −0.492802 | + | 0.824342i | ||||
\(671\) | −11.9690 | −0.462057 | ||||||||
\(672\) | 15.7069 | + | 43.4298i | 0.605905 | + | 1.67534i | ||||
\(673\) | 24.4913 | 0.944072 | 0.472036 | − | 0.881579i | \(-0.343519\pi\) | ||||
0.472036 | + | 0.881579i | \(0.343519\pi\) | |||||||
\(674\) | −15.3157 | + | 25.6196i | −0.589939 | + | 0.986830i | ||||
\(675\) | 3.81477 | − | 12.2643i | 0.146831 | − | 0.472053i | ||||
\(676\) | 9.83809 | + | 18.3042i | 0.378388 | + | 0.704009i | ||||
\(677\) | 26.5951i | 1.02213i | 0.859542 | + | 0.511066i | \(0.170749\pi\) | ||||
−0.859542 | + | 0.511066i | \(0.829251\pi\) | |||||||
\(678\) | 4.46004 | − | 5.99868i | 0.171287 | − | 0.230378i | ||||
\(679\) | 13.0216i | 0.499722i | ||||||||
\(680\) | 16.1821 | + | 0.738936i | 0.620556 | + | 0.0283369i | ||||
\(681\) | −1.90647 | + | 18.9021i | −0.0730560 | + | 0.724330i | ||||
\(682\) | 16.4730 | + | 9.84779i | 0.630785 | + | 0.377091i | ||||
\(683\) | 32.8706 | 1.25776 | 0.628878 | − | 0.777504i | \(-0.283514\pi\) | ||||
0.628878 | + | 0.777504i | \(0.283514\pi\) | |||||||
\(684\) | 18.3185 | − | 5.50915i | 0.700427 | − | 0.210648i | ||||
\(685\) | 16.8132 | 0.642401 | ||||||||
\(686\) | 47.0144 | + | 28.1058i | 1.79502 | + | 1.07308i | ||||
\(687\) | 2.52821 | − | 25.0665i | 0.0964572 | − | 0.956348i | ||||
\(688\) | −12.9767 | − | 8.58454i | −0.494732 | − | 0.327283i | ||||
\(689\) | − | 13.5024i | − | 0.514402i | ||||||
\(690\) | 2.32384 | − | 3.12553i | 0.0884670 | − | 0.118987i | ||||
\(691\) | 24.9097i | 0.947608i | 0.880630 | + | 0.473804i | \(0.157119\pi\) | ||||
−0.880630 | + | 0.473804i | \(0.842881\pi\) | |||||||
\(692\) | −25.2415 | + | 13.5667i | −0.959538 | + | 0.515729i | ||||
\(693\) | −16.4484 | + | 80.7113i | −0.624823 | + | 3.06597i | ||||
\(694\) | −16.4234 | + | 27.4725i | −0.623424 | + | 1.04284i | ||||
\(695\) | −1.04611 | −0.0396814 | ||||||||
\(696\) | 0.599789 | + | 0.0882900i | 0.0227350 | + | 0.00334662i | ||||
\(697\) | −32.1526 | −1.21787 | ||||||||
\(698\) | 12.1111 | − | 20.2591i | 0.458412 | − | 0.766816i | ||||
\(699\) | 27.6046 | + | 2.78420i | 1.04410 | + | 0.105308i | ||||
\(700\) | 20.5250 | − | 11.0317i | 0.775771 | − | 0.416959i | ||||
\(701\) | 36.9927i | 1.39719i | 0.715515 | + | 0.698597i | \(0.246192\pi\) | ||||
−0.715515 | + | 0.698597i | \(0.753808\pi\) | |||||||
\(702\) | −7.92028 | − | 8.84270i | −0.298932 | − | 0.333746i | ||||
\(703\) | − | 5.39043i | − | 0.203304i | ||||||
\(704\) | −46.4070 | − | 4.24709i | −1.74903 | − | 0.160068i | ||||
\(705\) | −13.0307 | − | 1.31428i | −0.490765 | − | 0.0494986i | ||||
\(706\) | −38.4898 | − | 23.0097i | −1.44858 | − | 0.865981i | ||||
\(707\) | 37.9978 | 1.42905 | ||||||||
\(708\) | 22.4308 | − | 9.29004i | 0.843001 | − | 0.349141i | ||||
\(709\) | 4.68972 | 0.176126 | 0.0880631 | − | 0.996115i | \(-0.471932\pi\) | ||||
0.0880631 | + | 0.996115i | \(0.471932\pi\) | |||||||
\(710\) | −2.87483 | − | 1.71861i | −0.107891 | − | 0.0644983i | ||||
\(711\) | −6.80953 | + | 33.4139i | −0.255377 | + | 1.25312i | ||||
\(712\) | −1.30953 | + | 28.6777i | −0.0490768 | + | 1.07474i | ||||
\(713\) | − | 2.32972i | − | 0.0872489i | ||||||
\(714\) | 33.3734 | + | 24.8132i | 1.24897 | + | 0.928610i | ||||
\(715\) | − | 14.9626i | − | 0.559568i | ||||||
\(716\) | −4.95237 | − | 9.21411i | −0.185079 | − | 0.344348i | ||||
\(717\) | −4.40207 | + | 43.6453i | −0.164398 | + | 1.62996i | ||||
\(718\) | −6.16724 | + | 10.3164i | −0.230160 | + | 0.385003i | ||||
\(719\) | 9.69447 | 0.361543 | 0.180771 | − | 0.983525i | \(-0.442141\pi\) | ||||
0.180771 | + | 0.983525i | \(0.442141\pi\) | |||||||
\(720\) | −13.4907 | − | 13.4930i | −0.502769 | − | 0.502853i | ||||
\(721\) | −24.8109 | −0.924007 | ||||||||
\(722\) | −6.41156 | + | 10.7250i | −0.238614 | + | 0.399145i | ||||
\(723\) | 4.35849 | − | 43.2132i | 0.162094 | − | 1.60712i | ||||
\(724\) | 2.23273 | + | 4.15410i | 0.0829788 | + | 0.154386i | ||||
\(725\) | − | 0.305888i | − | 0.0113604i | ||||||
\(726\) | −45.0776 | − | 33.5153i | −1.67299 | − | 1.24387i | ||||
\(727\) | 11.2233i | 0.416248i | 0.978102 | + | 0.208124i | \(0.0667358\pi\) | ||||
−0.978102 | + | 0.208124i | \(0.933264\pi\) | |||||||
\(728\) | 0.982436 | − | 21.5146i | 0.0364115 | − | 0.797384i | ||||
\(729\) | −22.2364 | − | 15.3148i | −0.823570 | − | 0.567215i | ||||
\(730\) | 14.1183 | + | 8.44010i | 0.522542 | + | 0.312382i | ||||
\(731\) | −14.0109 | −0.518211 | ||||||||
\(732\) | 6.57606 | − | 2.72357i | 0.243058 | − | 0.100666i | ||||
\(733\) | −38.4431 | −1.41993 | −0.709965 | − | 0.704237i | \(-0.751289\pi\) | ||||
−0.709965 | + | 0.704237i | \(0.751289\pi\) | |||||||
\(734\) | 11.7812 | + | 7.04296i | 0.434853 | + | 0.259960i | ||||
\(735\) | −41.6967 | − | 4.20553i | −1.53801 | − | 0.155123i | ||||
\(736\) | 2.44803 | + | 5.09972i | 0.0902354 | + | 0.187978i | ||||
\(737\) | − | 64.3992i | − | 2.37217i | ||||||
\(738\) | 27.9709 | + | 25.5322i | 1.02962 | + | 0.939854i | ||||
\(739\) | 32.3424i | 1.18973i | 0.803825 | + | 0.594866i | \(0.202795\pi\) | ||||
−0.803825 | + | 0.594866i | \(0.797205\pi\) | |||||||
\(740\) | −4.73599 | + | 2.54548i | −0.174098 | + | 0.0935738i | ||||
\(741\) | −8.87565 | − | 0.895199i | −0.326055 | − | 0.0328859i | ||||
\(742\) | 28.5884 | − | 47.8217i | 1.04951 | − | 1.75559i | ||||
\(743\) | −7.90090 | −0.289856 | −0.144928 | − | 0.989442i | \(-0.546295\pi\) | ||||
−0.144928 | + | 0.989442i | \(0.546295\pi\) | |||||||
\(744\) | −11.2916 | − | 1.66214i | −0.413970 | − | 0.0609371i | ||||
\(745\) | 7.99595 | 0.292949 | ||||||||
\(746\) | −15.6630 | + | 26.2006i | −0.573465 | + | 0.959272i | ||||
\(747\) | −47.4709 | − | 9.67425i | −1.73687 | − | 0.353962i | ||||
\(748\) | −36.9629 | + | 19.8667i | −1.35150 | + | 0.726398i | ||||
\(749\) | − | 75.3976i | − | 2.75497i | ||||||
\(750\) | −17.3633 | + | 23.3534i | −0.634017 | + | 0.852744i | ||||
\(751\) | − | 42.9148i | − | 1.56598i | −0.622032 | − | 0.782992i | \(-0.713693\pi\) | ||
0.622032 | − | 0.782992i | \(-0.286307\pi\) | |||||||
\(752\) | 10.4952 | − | 15.8649i | 0.382720 | − | 0.578533i | ||||
\(753\) | 1.27007 | − | 12.5924i | 0.0462839 | − | 0.458892i | ||||
\(754\) | −0.242666 | − | 0.145069i | −0.00883736 | − | 0.00528309i | ||||
\(755\) | −32.9713 | −1.19995 | ||||||||
\(756\) | −9.32888 | − | 48.0877i | −0.339288 | − | 1.74893i | ||||
\(757\) | −36.4035 | −1.32311 | −0.661553 | − | 0.749898i | \(-0.730102\pi\) | ||||
−0.661553 | + | 0.749898i | \(0.730102\pi\) | |||||||
\(758\) | −21.3311 | − | 12.7520i | −0.774782 | − | 0.463174i | ||||
\(759\) | −1.01248 | + | 10.0385i | −0.0367507 | + | 0.364373i | ||||
\(760\) | −14.3232 | − | 0.654049i | −0.519556 | − | 0.0237249i | ||||
\(761\) | − | 31.5511i | − | 1.14373i | −0.820349 | − | 0.571863i | \(-0.806221\pi\) | ||
0.820349 | − | 0.571863i | \(-0.193779\pi\) | |||||||
\(762\) | 10.6131 | − | 14.2744i | 0.384471 | − | 0.517108i | ||||
\(763\) | 14.9661i | 0.541810i | ||||||||
\(764\) | 4.83673 | + | 8.99895i | 0.174987 | + | 0.325571i | ||||
\(765\) | −16.8356 | − | 3.43097i | −0.608691 | − | 0.124047i | ||||
\(766\) | 6.41622 | − | 10.7328i | 0.231828 | − | 0.387793i | ||||
\(767\) | −11.3221 | −0.408817 | ||||||||
\(768\) | 26.4636 | − | 8.22657i | 0.954924 | − | 0.296851i | ||||
\(769\) | 15.9321 | 0.574527 | 0.287264 | − | 0.957852i | \(-0.407254\pi\) | ||||
0.287264 | + | 0.957852i | \(0.407254\pi\) | |||||||
\(770\) | 31.6799 | − | 52.9930i | 1.14166 | − | 1.90974i | ||||
\(771\) | 26.7312 | + | 2.69611i | 0.962701 | + | 0.0970981i | ||||
\(772\) | −9.63967 | − | 17.9351i | −0.346939 | − | 0.645497i | ||||
\(773\) | 11.8269i | 0.425382i | 0.977119 | + | 0.212691i | \(0.0682228\pi\) | ||||
−0.977119 | + | 0.212691i | \(0.931777\pi\) | |||||||
\(774\) | 12.1886 | + | 11.1260i | 0.438112 | + | 0.399915i | ||||
\(775\) | 5.75863i | 0.206856i | ||||||||
\(776\) | 7.80569 | + | 0.356437i | 0.280208 | + | 0.0127953i | ||||
\(777\) | −13.7338 | − | 1.38519i | −0.492696 | − | 0.0496933i | ||||
\(778\) | −11.0330 | − | 6.59567i | −0.395553 | − | 0.236466i | ||||
\(779\) | 28.4590 | 1.01965 | ||||||||
\(780\) | 3.40477 | + | 8.22081i | 0.121910 | + | 0.294352i | ||||
\(781\) | 8.67657 | 0.310472 | ||||||||
\(782\) | 4.37222 | + | 2.61377i | 0.156350 | + | 0.0934681i | ||||
\(783\) | −0.614011 | − | 0.190986i | −0.0219430 | − | 0.00682529i | ||||
\(784\) | 33.5833 | − | 50.7657i | 1.19940 | − | 1.81306i | ||||
\(785\) | 29.4360i | 1.05062i | ||||||||
\(786\) | −18.1846 | − | 13.5203i | −0.648622 | − | 0.482252i | ||||
\(787\) | 35.9134i | 1.28018i | 0.768302 | + | 0.640088i | \(0.221102\pi\) | ||||
−0.768302 | + | 0.640088i | \(0.778898\pi\) | |||||||
\(788\) | −12.5420 | + | 6.74103i | −0.446790 | + | 0.240139i | ||||
\(789\) | −3.81862 | + | 37.8606i | −0.135946 | + | 1.34787i | ||||
\(790\) | 13.1153 | − | 21.9387i | 0.466620 | − | 0.780545i | ||||
\(791\) | −14.3841 | −0.511439 | ||||||||
\(792\) | 47.9316 | + | 12.0692i | 1.70318 | + | 0.428860i | ||||
\(793\) | −3.31931 | −0.117872 | ||||||||
\(794\) | 12.5202 | − | 20.9434i | 0.444326 | − | 0.743254i | ||||
\(795\) | −2.30995 | + | 22.9026i | −0.0819256 | + | 0.812270i | ||||
\(796\) | 10.1561 | − | 5.45869i | 0.359975 | − | 0.193478i | ||||
\(797\) | − | 7.43422i | − | 0.263334i | −0.991294 | − | 0.131667i | \(-0.957967\pi\) | ||
0.991294 | − | 0.131667i | \(-0.0420329\pi\) | |||||||
\(798\) | −29.5396 | − | 21.9627i | −1.04569 | − | 0.777473i | ||||
\(799\) | − | 17.1292i | − | 0.605989i | ||||||
\(800\) | −6.05105 | − | 12.6055i | −0.213937 | − | 0.445673i | ||||
\(801\) | 6.08033 | − | 29.8358i | 0.214838 | − | 1.05419i | ||||
\(802\) | −1.46275 | − | 0.874449i | −0.0516514 | − | 0.0308779i | ||||
\(803\) | −42.6106 | −1.50370 | ||||||||
\(804\) | 14.6542 | + | 35.3825i | 0.516814 | + | 1.24785i | ||||
\(805\) | −7.49462 | −0.264150 | ||||||||
\(806\) | 4.56841 | + | 2.73105i | 0.160915 | + | 0.0961972i | ||||
\(807\) | 15.2587 | + | 1.53899i | 0.537131 | + | 0.0541751i | ||||
\(808\) | 1.04011 | − | 22.7775i | 0.0365909 | − | 0.801311i | ||||
\(809\) | 34.1297i | 1.19993i | 0.800025 | + | 0.599967i | \(0.204820\pi\) | ||||
−0.800025 | + | 0.599967i | \(0.795180\pi\) | |||||||
\(810\) | 11.9214 | + | 16.3538i | 0.418877 | + | 0.574613i | ||||
\(811\) | − | 53.0427i | − | 1.86258i | −0.364278 | − | 0.931290i | \(-0.618684\pi\) | ||
0.364278 | − | 0.931290i | \(-0.381316\pi\) | |||||||
\(812\) | −0.552301 | − | 1.02758i | −0.0193820 | − | 0.0360610i | ||||
\(813\) | 24.2584 | + | 2.44670i | 0.850780 | + | 0.0858097i | ||||
\(814\) | 7.14688 | − | 11.9551i | 0.250498 | − | 0.419024i | ||||
\(815\) | −15.9485 | −0.558652 | ||||||||
\(816\) | 15.7876 | − | 19.3263i | 0.552678 | − | 0.676554i | ||||
\(817\) | 12.4014 | 0.433868 | ||||||||
\(818\) | −1.21934 | + | 2.03967i | −0.0426332 | + | 0.0713154i | ||||
\(819\) | −4.56158 | + | 22.3834i | −0.159394 | + | 0.782138i | ||||
\(820\) | −13.4390 | − | 25.0039i | −0.469310 | − | 0.873173i | ||||
\(821\) | − | 14.2515i | − | 0.497382i | −0.968583 | − | 0.248691i | \(-0.920000\pi\) | ||
0.968583 | − | 0.248691i | \(-0.0800003\pi\) | |||||||
\(822\) | 15.4542 | − | 20.7857i | 0.539028 | − | 0.724985i | ||||
\(823\) | 16.0153i | 0.558258i | 0.960254 | + | 0.279129i | \(0.0900457\pi\) | ||||
−0.960254 | + | 0.279129i | \(0.909954\pi\) | |||||||
\(824\) | −0.679145 | + | 14.8727i | −0.0236591 | + | 0.518117i | ||||
\(825\) | 2.50266 | − | 24.8132i | 0.0871314 | − | 0.863884i | ||||
\(826\) | −40.0996 | − | 23.9720i | −1.39524 | − | 0.834094i | ||||
\(827\) | −19.5614 | −0.680217 | −0.340108 | − | 0.940386i | \(-0.610464\pi\) | ||||
−0.340108 | + | 0.940386i | \(0.610464\pi\) | |||||||
\(828\) | −1.72800 | − | 5.74578i | −0.0600521 | − | 0.199680i | ||||
\(829\) | −53.0745 | −1.84335 | −0.921676 | − | 0.387960i | \(-0.873180\pi\) | ||||
−0.921676 | + | 0.387960i | \(0.873180\pi\) | |||||||
\(830\) | 31.1682 | + | 18.6328i | 1.08186 | + | 0.646752i | ||||
\(831\) | 4.21369 | − | 41.7776i | 0.146171 | − | 1.44925i | ||||
\(832\) | −12.8699 | − | 1.17783i | −0.446183 | − | 0.0408339i | ||||
\(833\) | − | 54.8115i | − | 1.89911i | ||||||
\(834\) | −0.961557 | + | 1.29328i | −0.0332960 | + | 0.0447826i | ||||
\(835\) | 23.8092i | 0.823953i | ||||||||
\(836\) | 32.7167 | − | 17.5845i | 1.13153 | − | 0.608172i | ||||
\(837\) | 11.5593 | + | 3.59549i | 0.399549 | + | 0.124278i | ||||
\(838\) | 9.55383 | − | 15.9813i | 0.330031 | − | 0.552065i | ||||
\(839\) | −13.6757 | −0.472136 | −0.236068 | − | 0.971737i | \(-0.575859\pi\) | ||||
−0.236068 | + | 0.971737i | \(0.575859\pi\) | |||||||
\(840\) | −5.34703 | + | 36.3245i | −0.184490 | + | 1.25332i | ||||
\(841\) | 28.9847 | 0.999472 | ||||||||
\(842\) | −8.80343 | + | 14.7261i | −0.303386 | + | 0.507494i | ||||
\(843\) | −50.0859 | − | 5.05167i | −1.72505 | − | 0.173989i | ||||
\(844\) | 20.6868 | − | 11.1187i | 0.712069 | − | 0.382720i | ||||
\(845\) | 16.5209i | 0.568335i | ||||||||
\(846\) | −13.6023 | + | 14.9015i | −0.467655 | + | 0.512323i | ||||
\(847\) | 108.090i | 3.71403i | ||||||||
\(848\) | −27.8839 | − | 18.4461i | −0.957535 | − | 0.633443i | ||||
\(849\) | 19.1928 | + | 1.93579i | 0.658696 | + | 0.0664361i | ||||
\(850\) | −10.8073 | − | 6.46073i | −0.370687 | − | 0.221601i | ||||
\(851\) | −1.69076 | −0.0579586 | ||||||||
\(852\) | −4.76713 | + | 1.97438i | −0.163319 | + | 0.0676410i | ||||
\(853\) | 12.5112 | 0.428375 | 0.214188 | − | 0.976793i | \(-0.431290\pi\) | ||||
0.214188 | + | 0.976793i | \(0.431290\pi\) | |||||||
\(854\) | −11.7560 | − | 7.02791i | −0.402283 | − | 0.240490i | ||||
\(855\) | 14.9015 | + | 3.03683i | 0.509622 | + | 0.103858i | ||||
\(856\) | −45.1966 | − | 2.06385i | −1.54479 | − | 0.0705408i | ||||
\(857\) | 3.82985i | 0.130825i | 0.997858 | + | 0.0654126i | \(0.0208364\pi\) | ||||
−0.997858 | + | 0.0654126i | \(0.979164\pi\) | |||||||
\(858\) | −18.4978 | − | 13.7531i | −0.631503 | − | 0.469524i | ||||
\(859\) | 50.8176i | 1.73387i | 0.498419 | + | 0.866937i | \(0.333914\pi\) | ||||
−0.498419 | + | 0.866937i | \(0.666086\pi\) | |||||||
\(860\) | −5.85620 | − | 10.8957i | −0.199695 | − | 0.371541i | ||||
\(861\) | 7.31316 | − | 72.5080i | 0.249232 | − | 2.47107i | ||||
\(862\) | −1.20352 | + | 2.01320i | −0.0409919 | + | 0.0685699i | ||||
\(863\) | 52.9727 | 1.80321 | 0.901606 | − | 0.432558i | \(-0.142389\pi\) | ||||
0.901606 | + | 0.432558i | \(0.142389\pi\) | |||||||
\(864\) | −29.0812 | + | 4.27584i | −0.989363 | + | 0.145467i | ||||
\(865\) | −22.7822 | −0.774619 | ||||||||
\(866\) | −16.1253 | + | 26.9739i | −0.547961 | + | 0.916610i | ||||
\(867\) | −0.699764 | + | 6.93798i | −0.0237652 | + | 0.235626i | ||||
\(868\) | 10.3976 | + | 19.3452i | 0.352917 | + | 0.656618i | ||||
\(869\) | 66.2136i | 2.24614i | ||||||||
\(870\) | 0.386787 | + | 0.287577i | 0.0131133 | + | 0.00974977i | ||||
\(871\) | − | 17.8596i | − | 0.605149i | ||||||
\(872\) | 8.97134 | + | 0.409665i | 0.303808 | + | 0.0138730i | ||||
\(873\) | −8.12089 | − | 1.65498i | −0.274851 | − | 0.0560127i | ||||
\(874\) | −3.86995 | − | 2.31351i | −0.130903 | − | 0.0782555i | ||||
\(875\) | 55.9983 | 1.89309 | ||||||||
\(876\) | 23.4114 | − | 9.69616i | 0.790997 | − | 0.327603i | ||||
\(877\) | 58.4665 | 1.97427 | 0.987137 | − | 0.159876i | \(-0.0511094\pi\) | ||||
0.987137 | + | 0.159876i | \(0.0511094\pi\) | |||||||
\(878\) | −9.21294 | − | 5.50761i | −0.310922 | − | 0.185873i | ||||
\(879\) | −31.4837 | − | 3.17545i | −1.06192 | − | 0.107105i | ||||
\(880\) | −30.8991 | − | 20.4409i | −1.04161 | − | 0.689061i | ||||
\(881\) | − | 36.5203i | − | 1.23040i | −0.788371 | − | 0.615201i | \(-0.789075\pi\) | ||
0.788371 | − | 0.615201i | \(-0.210925\pi\) | |||||||
\(882\) | −43.5255 | + | 47.6828i | −1.46558 | + | 1.60556i | ||||
\(883\) | − | 34.9516i | − | 1.17622i | −0.808782 | − | 0.588108i | \(-0.799873\pi\) | ||
0.808782 | − | 0.588108i | \(-0.200127\pi\) | |||||||
\(884\) | −10.2508 | + | 5.50956i | −0.344771 | + | 0.185306i | ||||
\(885\) | 19.2043 | + | 1.93695i | 0.645546 | + | 0.0651098i | ||||
\(886\) | 24.0935 | − | 40.3027i | 0.809436 | − | 1.35400i | ||||
\(887\) | −16.7953 | −0.563933 | −0.281966 | − | 0.959424i | \(-0.590987\pi\) | ||||
−0.281966 | + | 0.959424i | \(0.590987\pi\) | |||||||
\(888\) | −1.20627 | + | 8.19470i | −0.0404799 | + | 0.274996i | ||||
\(889\) | −34.2283 | −1.14798 | ||||||||
\(890\) | −11.7108 | + | 19.5894i | −0.392547 | + | 0.656639i | ||||
\(891\) | −48.2450 | − | 20.5161i | −1.61627 | − | 0.687315i | ||||
\(892\) | 33.8291 | − | 18.1823i | 1.13268 | − | 0.608790i | ||||
\(893\) | 15.1615i | 0.507360i | ||||||||
\(894\) | 7.34964 | − | 9.88516i | 0.245809 | − | 0.330609i | ||||
\(895\) | − | 8.31639i | − | 0.277986i | ||||||
\(896\) | −43.0876 | − | 31.4207i | −1.43946 | − | 1.04969i | ||||
\(897\) | −0.280788 | + | 2.78393i | −0.00937523 | + | 0.0929528i | ||||
\(898\) | 22.6066 | + | 13.5145i | 0.754393 | + | 0.450986i | ||||
\(899\) | 0.288305 | 0.00961552 | ||||||||
\(900\) | 4.27128 | + | 14.2025i | 0.142376 | + | 0.473416i | ||||
\(901\) | −30.1060 | −1.00298 | ||||||||
\(902\) | 63.1172 | + | 37.7323i | 2.10157 | + | 1.25635i | ||||
\(903\) | 3.18679 | − | 31.5962i | 0.106050 | − | 1.05146i | ||||
\(904\) | −0.393733 | + | 8.62244i | −0.0130954 | + | 0.286778i | ||||
\(905\) | 3.74937i | 0.124633i | ||||||||
\(906\) | −30.3062 | + | 40.7614i | −1.00686 | + | 1.35421i | ||||
\(907\) | 25.0296i | 0.831095i | 0.909572 | + | 0.415547i | \(0.136410\pi\) | ||||
−0.909572 | + | 0.415547i | \(0.863590\pi\) | |||||||
\(908\) | −10.3856 | − | 19.3228i | −0.344657 | − | 0.641251i | ||||
\(909\) | −4.82935 | + | 23.6973i | −0.160180 | + | 0.785990i | ||||
\(910\) | 8.78567 | − | 14.6964i | 0.291242 | − | 0.487179i | ||||
\(911\) | 55.7281 | 1.84635 | 0.923177 | − | 0.384375i | \(-0.125583\pi\) | ||||
0.923177 | + | 0.384375i | \(0.125583\pi\) | |||||||
\(912\) | −13.9740 | + | 17.1061i | −0.462726 | + | 0.566441i | ||||
\(913\) | −94.0692 | −3.11324 | ||||||||
\(914\) | −3.36987 | + | 5.63700i | −0.111465 | + | 0.186455i | ||||
\(915\) | 5.63015 | + | 0.567857i | 0.186127 | + | 0.0187728i | ||||
\(916\) | 13.7726 | + | 25.6245i | 0.455058 | + | 0.846656i | ||||
\(917\) | 43.6043i | 1.43994i | ||||||||
\(918\) | −19.7163 | + | 17.6597i | −0.650736 | + | 0.582856i | ||||
\(919\) | − | 1.07860i | − | 0.0355797i | −0.999842 | − | 0.0177899i | \(-0.994337\pi\) | ||
0.999842 | − | 0.0177899i | \(-0.00566299\pi\) | |||||||
\(920\) | −0.205149 | + | 4.49260i | −0.00676356 | + | 0.148117i | ||||
\(921\) | 10.9518 | + | 1.10460i | 0.360874 | + | 0.0363977i | ||||
\(922\) | −25.0270 | − | 14.9615i | −0.824221 | − | 0.492730i | ||||
\(923\) | 2.40624 | 0.0792024 | ||||||||
\(924\) | −36.3945 | − | 87.8745i | −1.19729 | − | 2.89086i | ||||
\(925\) | 4.17924 | 0.137413 | ||||||||
\(926\) | −33.2920 | − | 19.9024i | −1.09404 | − | 0.654033i | ||||
\(927\) | 3.15336 | − | 15.4733i | 0.103570 | − | 0.508210i | ||||
\(928\) | −0.631095 | + | 0.302945i | −0.0207167 | + | 0.00994466i | ||||
\(929\) | 6.81266i | 0.223516i | 0.993735 | + | 0.111758i | \(0.0356482\pi\) | ||||
−0.993735 | + | 0.111758i | \(0.964352\pi\) | |||||||
\(930\) | −7.28162 | − | 5.41390i | −0.238774 | − | 0.177529i | ||||
\(931\) | 48.5149i | 1.59001i | ||||||||
\(932\) | −28.2190 | + | 15.1671i | −0.924344 | + | 0.496813i | ||||
\(933\) | −2.96888 | + | 29.4356i | −0.0971966 | + | 0.963678i | ||||
\(934\) | −11.9379 | + | 19.9693i | −0.390620 | + | 0.653416i | ||||
\(935\) | −33.3616 | −1.09104 | ||||||||
\(936\) | 13.2927 | + | 3.34710i | 0.434486 | + | 0.109404i | ||||
\(937\) | −34.7265 | −1.13446 | −0.567232 | − | 0.823558i | \(-0.691986\pi\) | ||||
−0.567232 | + | 0.823558i | \(0.691986\pi\) | |||||||
\(938\) | 37.8137 | − | 63.2534i | 1.23466 | − | 2.06530i | ||||
\(939\) | 2.11601 | − | 20.9797i | 0.0690534 | − | 0.684646i | ||||
\(940\) | 13.3208 | − | 7.15960i | 0.434476 | − | 0.233520i | ||||
\(941\) | − | 29.0855i | − | 0.948161i | −0.880481 | − | 0.474081i | \(-0.842781\pi\) | ||
0.880481 | − | 0.474081i | \(-0.157219\pi\) | |||||||
\(942\) | 36.3909 | + | 27.0567i | 1.18568 | + | 0.881555i | ||||
\(943\) | − | 8.92645i | − | 0.290685i | ||||||
\(944\) | −15.4675 | + | 23.3813i | −0.503425 | + | 0.760995i | ||||
\(945\) | 11.5665 | − | 37.1858i | 0.376259 | − | 1.20965i | ||||
\(946\) | 27.5041 | + | 16.4423i | 0.894234 | + | 0.534584i | ||||
\(947\) | 42.6576 | 1.38619 | 0.693093 | − | 0.720849i | \(-0.256248\pi\) | ||||
0.693093 | + | 0.720849i | \(0.256248\pi\) | |||||||
\(948\) | −15.0671 | − | 36.3794i | −0.489356 | − | 1.18155i | ||||
\(949\) | −11.8171 | −0.383598 | ||||||||
\(950\) | 9.56579 | + | 5.71855i | 0.310355 | + | 0.185534i | ||||
\(951\) | 24.1186 | + | 2.43260i | 0.782100 | + | 0.0788826i | ||||
\(952\) | −47.9705 | − | 2.19051i | −1.55473 | − | 0.0709950i | ||||
\(953\) | − | 8.20879i | − | 0.265909i | −0.991122 | − | 0.132954i | \(-0.957554\pi\) | ||
0.991122 | − | 0.132954i | \(-0.0424464\pi\) | |||||||
\(954\) | 26.1905 | + | 23.9071i | 0.847949 | + | 0.774020i | ||||
\(955\) | 8.12220i | 0.262828i | ||||||||
\(956\) | −23.9805 | − | 44.6168i | −0.775584 | − | 1.44301i | ||||
\(957\) | −1.24227 | − | 0.125295i | −0.0401569 | − | 0.00405022i | ||||
\(958\) | 19.6199 | − | 32.8196i | 0.633892 | − | 1.06035i | ||||
\(959\) | −49.8415 | −1.60946 | ||||||||
\(960\) | 21.6281 | + | 4.19955i | 0.698045 | + | 0.135540i | ||||
\(961\) | 25.5724 | 0.824916 | ||||||||
\(962\) | 1.98202 | − | 3.31545i | 0.0639028 | − | 0.106894i | ||||
\(963\) | 47.0217 | + | 9.58270i | 1.51525 | + | 0.308798i | ||||
\(964\) | 23.7431 | + | 44.1751i | 0.764713 | + | 1.42278i | ||||
\(965\) | − | 16.1877i | − | 0.521099i | ||||||
\(966\) | −6.88882 | + | 9.26537i | −0.221644 | + | 0.298108i | ||||
\(967\) | 43.8279i | 1.40941i | 0.709501 | + | 0.704704i | \(0.248920\pi\) | ||||
−0.709501 | + | 0.704704i | \(0.751080\pi\) | |||||||
\(968\) | 64.7940 | + | 2.95874i | 2.08256 | + | 0.0950974i | ||||
\(969\) | −1.99600 | + | 19.7898i | −0.0641208 | + | 0.635741i | ||||
\(970\) | 5.33197 | + | 3.18752i | 0.171199 | + | 0.102345i | ||||
\(971\) | −59.1732 | −1.89896 | −0.949478 | − | 0.313832i | \(-0.898387\pi\) | ||||
−0.949478 | + | 0.313832i | \(0.898387\pi\) | |||||||
\(972\) | 31.1755 | + | 0.293778i | 0.999956 | + | 0.00942294i | ||||
\(973\) | 3.10112 | 0.0994174 | ||||||||
\(974\) | 24.5989 | + | 14.7055i | 0.788199 | + | 0.471195i | ||||
\(975\) | 0.694053 | − | 6.88135i | 0.0222275 | − | 0.220380i | ||||
\(976\) | −4.53463 | + | 6.85471i | −0.145150 | + | 0.219414i | ||||
\(977\) | 26.0725i | 0.834134i | 0.908876 | + | 0.417067i | \(0.136942\pi\) | ||||
−0.908876 | + | 0.417067i | \(0.863058\pi\) | |||||||
\(978\) | −14.6594 | + | 19.7167i | −0.468756 | + | 0.630470i | ||||
\(979\) | − | 59.1231i | − | 1.88958i | ||||||
\(980\) | 42.6248 | − | 22.9098i | 1.36160 | − | 0.731828i | ||||
\(981\) | −9.33361 | − | 1.90213i | −0.297999 | − | 0.0607302i | ||||
\(982\) | −16.7872 | + | 28.0811i | −0.535702 | + | 0.896104i | ||||
\(983\) | 37.2168 | 1.18703 | 0.593515 | − | 0.804823i | \(-0.297740\pi\) | ||||
0.593515 | + | 0.804823i | \(0.297740\pi\) | |||||||
\(984\) | −43.2643 | − | 6.36857i | −1.37921 | − | 0.203023i | ||||
\(985\) | −11.3200 | −0.360687 | ||||||||
\(986\) | −0.323456 | + | 0.541066i | −0.0103009 | + | 0.0172310i | ||||
\(987\) | 38.6285 | + | 3.89607i | 1.22956 | + | 0.124013i | ||||
\(988\) | 9.07321 | − | 4.87664i | 0.288657 | − | 0.155147i | ||||
\(989\) | − | 3.88980i | − | 0.123689i | ||||||
\(990\) | 29.0227 | + | 26.4923i | 0.922402 | + | 0.841981i | ||||
\(991\) | − | 13.8323i | − | 0.439398i | −0.975568 | − | 0.219699i | \(-0.929493\pi\) | ||
0.975568 | − | 0.219699i | \(-0.0705075\pi\) | |||||||
\(992\) | 11.8809 | − | 5.70323i | 0.377220 | − | 0.181078i | ||||
\(993\) | −29.0497 | − | 2.92995i | −0.921864 | − | 0.0929793i | ||||
\(994\) | 8.52221 | + | 5.09468i | 0.270308 | + | 0.161593i | ||||
\(995\) | 9.16664 | 0.290602 | ||||||||
\(996\) | 51.6840 | − | 21.4057i | 1.63767 | − | 0.678265i | ||||
\(997\) | 43.7155 | 1.38448 | 0.692242 | − | 0.721665i | \(-0.256623\pi\) | ||||
0.692242 | + | 0.721665i | \(0.256623\pi\) | |||||||
\(998\) | 0.438431 | + | 0.262100i | 0.0138783 | + | 0.00829662i | ||||
\(999\) | 2.60937 | − | 8.38900i | 0.0825569 | − | 0.265416i |
(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 | 276.2.c.b.47.8 | yes | 22 | |
3.2 | odd | 2 | 276.2.c.a.47.15 | ✓ | 22 | ||
4.3 | odd | 2 | 276.2.c.a.47.16 | yes | 22 | ||
12.11 | even | 2 | inner | 276.2.c.b.47.7 | yes | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.c.a.47.15 | ✓ | 22 | 3.2 | odd | 2 | ||
276.2.c.a.47.16 | yes | 22 | 4.3 | odd | 2 | ||
276.2.c.b.47.7 | yes | 22 | 12.11 | even | 2 | inner | |
276.2.c.b.47.8 | yes | 22 | 1.1 | even | 1 | trivial |