Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(19,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.by (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 535.7 | ||
Character | \(\chi\) | \(=\) | 546.535 |
Dual form | 546.2.by.b.397.7 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | + | 0.965926i | 0.183013 | + | 0.683013i | ||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | −0.382567 | + | 1.42776i | −0.171089 | + | 0.638513i | 0.826096 | + | 0.563530i | \(0.190557\pi\) |
−0.997185 | + | 0.0749833i | \(0.976110\pi\) | |||||||
\(6\) | 0.965926 | − | 0.258819i | 0.394338 | − | 0.105662i | ||||
\(7\) | −1.00882 | − | 2.44587i | −0.381297 | − | 0.924453i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −1.47812 | −0.467424 | ||||||||
\(11\) | 4.12568 | + | 4.12568i | 1.24394 | + | 1.24394i | 0.958353 | + | 0.285587i | \(0.0921885\pi\) |
0.285587 | + | 0.958353i | \(0.407811\pi\) | |||||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | 2.68146 | − | 2.41035i | 0.743702 | − | 0.668511i | ||||
\(14\) | 2.10143 | − | 1.60748i | 0.561631 | − | 0.429617i | ||||
\(15\) | 1.42776 | + | 0.382567i | 0.368646 | + | 0.0987783i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 3.47189 | + | 6.01349i | 0.842057 | + | 1.45849i | 0.888152 | + | 0.459549i | \(0.151989\pi\) |
−0.0460951 | + | 0.998937i | \(0.514678\pi\) | |||||||
\(18\) | −0.258819 | − | 0.965926i | −0.0610042 | − | 0.227671i | ||||
\(19\) | 3.76741 | + | 3.76741i | 0.864303 | + | 0.864303i | 0.991834 | − | 0.127532i | \(-0.0407055\pi\) |
−0.127532 | + | 0.991834i | \(0.540705\pi\) | |||||||
\(20\) | −0.382567 | − | 1.42776i | −0.0855445 | − | 0.319257i | ||||
\(21\) | −2.44587 | + | 1.00882i | −0.533733 | + | 0.220142i | ||||
\(22\) | −2.91730 | + | 5.05291i | −0.621970 | + | 1.07728i | ||||
\(23\) | 0.666449 | + | 0.384774i | 0.138964 | + | 0.0802310i | 0.567870 | − | 0.823118i | \(-0.307768\pi\) |
−0.428906 | + | 0.903349i | \(0.641101\pi\) | |||||||
\(24\) | −0.707107 | + | 0.707107i | −0.144338 | + | 0.144338i | ||||
\(25\) | 2.43799 | + | 1.40757i | 0.487598 | + | 0.281515i | ||||
\(26\) | 3.02223 | + | 1.96624i | 0.592709 | + | 0.385612i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 2.09660 | + | 1.61378i | 0.396220 | + | 0.304975i | ||||
\(29\) | −4.35699 | − | 7.54652i | −0.809072 | − | 1.40135i | −0.913507 | − | 0.406823i | \(-0.866637\pi\) |
0.104435 | − | 0.994532i | \(-0.466697\pi\) | |||||||
\(30\) | 1.47812i | 0.269867i | ||||||||
\(31\) | −0.379148 | + | 0.101593i | −0.0680971 | + | 0.0182466i | −0.292707 | − | 0.956202i | \(-0.594556\pi\) |
0.224610 | + | 0.974449i | \(0.427889\pi\) | |||||||
\(32\) | 0.965926 | + | 0.258819i | 0.170753 | + | 0.0457532i | ||||
\(33\) | 4.12568 | − | 4.12568i | 0.718189 | − | 0.718189i | ||||
\(34\) | −4.91000 | + | 4.91000i | −0.842057 | + | 0.842057i | ||||
\(35\) | 3.87805 | − | 0.504639i | 0.655511 | − | 0.0852995i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | −5.66482 | + | 1.51788i | −0.931291 | + | 0.249539i | −0.692405 | − | 0.721509i | \(-0.743449\pi\) |
−0.238886 | + | 0.971048i | \(0.576782\pi\) | |||||||
\(38\) | −2.66396 | + | 4.61411i | −0.432151 | + | 0.748508i | ||||
\(39\) | −2.41035 | − | 2.68146i | −0.385965 | − | 0.429377i | ||||
\(40\) | 1.28009 | − | 0.739062i | 0.202401 | − | 0.116856i | ||||
\(41\) | 1.70135 | − | 6.34954i | 0.265707 | − | 0.991632i | −0.696109 | − | 0.717936i | \(-0.745087\pi\) |
0.961816 | − | 0.273696i | \(-0.0882462\pi\) | |||||||
\(42\) | −1.60748 | − | 2.10143i | −0.248040 | − | 0.324258i | ||||
\(43\) | 0.142904 | + | 0.0825059i | 0.0217927 | + | 0.0125820i | 0.510857 | − | 0.859666i | \(-0.329328\pi\) |
−0.489064 | + | 0.872248i | \(0.662662\pi\) | |||||||
\(44\) | −5.63579 | − | 1.51010i | −0.849627 | − | 0.227657i | ||||
\(45\) | 0.382567 | − | 1.42776i | 0.0570297 | − | 0.212838i | ||||
\(46\) | −0.199174 | + | 0.743327i | −0.0293666 | + | 0.109598i | ||||
\(47\) | 12.0638 | + | 3.23250i | 1.75969 | + | 0.471508i | 0.986651 | − | 0.162847i | \(-0.0520678\pi\) |
0.773041 | + | 0.634355i | \(0.218734\pi\) | |||||||
\(48\) | −0.866025 | − | 0.500000i | −0.125000 | − | 0.0721688i | ||||
\(49\) | −4.96457 | + | 4.93488i | −0.709225 | + | 0.704982i | ||||
\(50\) | −0.728614 | + | 2.71922i | −0.103042 | + | 0.384556i | ||||
\(51\) | 6.01349 | − | 3.47189i | 0.842057 | − | 0.486162i | ||||
\(52\) | −1.11703 | + | 3.42815i | −0.154905 | + | 0.475399i | ||||
\(53\) | −4.44772 | + | 7.70367i | −0.610941 | + | 1.05818i | 0.380141 | + | 0.924928i | \(0.375875\pi\) |
−0.991082 | + | 0.133252i | \(0.957458\pi\) | |||||||
\(54\) | −0.965926 | + | 0.258819i | −0.131446 | + | 0.0352208i | ||||
\(55\) | −7.46883 | + | 4.31213i | −1.00710 | + | 0.581447i | ||||
\(56\) | −1.01615 | + | 2.44283i | −0.135789 | + | 0.326437i | ||||
\(57\) | 3.76741 | − | 3.76741i | 0.499005 | − | 0.499005i | ||||
\(58\) | 6.16171 | − | 6.16171i | 0.809072 | − | 0.809072i | ||||
\(59\) | 0.842719 | + | 0.225806i | 0.109713 | + | 0.0293974i | 0.313258 | − | 0.949668i | \(-0.398580\pi\) |
−0.203545 | + | 0.979066i | \(0.565246\pi\) | |||||||
\(60\) | −1.42776 | + | 0.382567i | −0.184323 | + | 0.0493892i | ||||
\(61\) | − | 5.64703i | − | 0.723028i | −0.932367 | − | 0.361514i | \(-0.882260\pi\) | ||
0.932367 | − | 0.361514i | \(-0.117740\pi\) | |||||||
\(62\) | −0.196262 | − | 0.339935i | −0.0249253 | − | 0.0431718i | ||||
\(63\) | 1.00882 | + | 2.44587i | 0.127099 | + | 0.308151i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 2.41556 | + | 4.75059i | 0.299614 | + | 0.589238i | ||||
\(66\) | 5.05291 | + | 2.91730i | 0.621970 | + | 0.359094i | ||||
\(67\) | −3.38202 | + | 3.38202i | −0.413180 | + | 0.413180i | −0.882845 | − | 0.469665i | \(-0.844375\pi\) |
0.469665 | + | 0.882845i | \(0.344375\pi\) | |||||||
\(68\) | −6.01349 | − | 3.47189i | −0.729243 | − | 0.421029i | ||||
\(69\) | 0.384774 | − | 0.666449i | 0.0463214 | − | 0.0802310i | ||||
\(70\) | 1.49116 | + | 3.61530i | 0.178227 | + | 0.432111i | ||||
\(71\) | −1.36236 | − | 5.08439i | −0.161682 | − | 0.603406i | −0.998440 | − | 0.0558333i | \(-0.982218\pi\) |
0.836758 | − | 0.547573i | \(-0.184448\pi\) | |||||||
\(72\) | 0.707107 | + | 0.707107i | 0.0833333 | + | 0.0833333i | ||||
\(73\) | −2.39782 | − | 8.94879i | −0.280644 | − | 1.04738i | −0.951964 | − | 0.306209i | \(-0.900939\pi\) |
0.671321 | − | 0.741167i | \(-0.265727\pi\) | |||||||
\(74\) | −2.93233 | − | 5.07894i | −0.340876 | − | 0.590415i | ||||
\(75\) | 1.40757 | − | 2.43799i | 0.162533 | − | 0.281515i | ||||
\(76\) | −5.14638 | − | 1.37897i | −0.590330 | − | 0.158178i | ||||
\(77\) | 5.92883 | − | 14.2529i | 0.675653 | − | 1.62427i | ||||
\(78\) | 1.96624 | − | 3.02223i | 0.222633 | − | 0.342200i | ||||
\(79\) | −3.96454 | − | 6.86679i | −0.446046 | − | 0.772574i | 0.552079 | − | 0.833792i | \(-0.313835\pi\) |
−0.998124 | + | 0.0612181i | \(0.980501\pi\) | |||||||
\(80\) | 1.04519 | + | 1.04519i | 0.116856 | + | 0.116856i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 6.57353 | 0.725925 | ||||||||
\(83\) | 9.29167 | + | 9.29167i | 1.01989 | + | 1.01989i | 0.999798 | + | 0.0200956i | \(0.00639705\pi\) |
0.0200956 | + | 0.999798i | \(0.493603\pi\) | |||||||
\(84\) | 1.61378 | − | 2.09660i | 0.176078 | − | 0.228758i | ||||
\(85\) | −9.91405 | + | 2.65646i | −1.07533 | + | 0.288134i | ||||
\(86\) | −0.0427082 | + | 0.159389i | −0.00460534 | + | 0.0171874i | ||||
\(87\) | −7.54652 | + | 4.35699i | −0.809072 | + | 0.467118i | ||||
\(88\) | − | 5.83459i | − | 0.621970i | ||||||
\(89\) | −2.30793 | − | 8.61332i | −0.244640 | − | 0.913010i | −0.973564 | − | 0.228415i | \(-0.926646\pi\) |
0.728924 | − | 0.684595i | \(-0.240021\pi\) | |||||||
\(90\) | 1.47812 | 0.155808 | ||||||||
\(91\) | −8.60051 | − | 4.12689i | −0.901578 | − | 0.432616i | ||||
\(92\) | −0.769549 | −0.0802310 | ||||||||
\(93\) | 0.101593 | + | 0.379148i | 0.0105347 | + | 0.0393159i | ||||
\(94\) | 12.4894i | 1.28818i | ||||||||
\(95\) | −6.82024 | + | 3.93766i | −0.699741 | + | 0.403996i | ||||
\(96\) | 0.258819 | − | 0.965926i | 0.0264156 | − | 0.0985844i | ||||
\(97\) | −0.852159 | + | 0.228335i | −0.0865237 | + | 0.0231839i | −0.301821 | − | 0.953365i | \(-0.597595\pi\) |
0.215297 | + | 0.976549i | \(0.430928\pi\) | |||||||
\(98\) | −6.05165 | − | 3.51817i | −0.611309 | − | 0.355389i | ||||
\(99\) | −4.12568 | − | 4.12568i | −0.414647 | − | 0.414647i | ||||
\(100\) | −2.81515 | −0.281515 | ||||||||
\(101\) | −11.9682 | −1.19088 | −0.595439 | − | 0.803401i | \(-0.703022\pi\) | ||||
−0.595439 | + | 0.803401i | \(0.703022\pi\) | |||||||
\(102\) | 4.91000 | + | 4.91000i | 0.486162 | + | 0.486162i | ||||
\(103\) | 6.40446 | + | 11.0928i | 0.631050 | + | 1.09301i | 0.987337 | + | 0.158634i | \(0.0507090\pi\) |
−0.356288 | + | 0.934376i | \(0.615958\pi\) | |||||||
\(104\) | −3.60045 | − | 0.191699i | −0.353053 | − | 0.0187977i | ||||
\(105\) | −0.504639 | − | 3.87805i | −0.0492477 | − | 0.378459i | ||||
\(106\) | −8.59233 | − | 2.30231i | −0.834561 | − | 0.223620i | ||||
\(107\) | −1.32962 | + | 2.30297i | −0.128539 | + | 0.222636i | −0.923111 | − | 0.384534i | \(-0.874362\pi\) |
0.794572 | + | 0.607170i | \(0.207695\pi\) | |||||||
\(108\) | −0.500000 | − | 0.866025i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | −3.87980 | − | 14.4796i | −0.371617 | − | 1.38689i | −0.858225 | − | 0.513274i | \(-0.828432\pi\) |
0.486607 | − | 0.873621i | \(-0.338234\pi\) | |||||||
\(110\) | −6.09827 | − | 6.09827i | −0.581447 | − | 0.581447i | ||||
\(111\) | 1.51788 | + | 5.66482i | 0.144071 | + | 0.537681i | ||||
\(112\) | −2.62260 | − | 0.349274i | −0.247812 | − | 0.0330033i | ||||
\(113\) | 4.95793 | − | 8.58738i | 0.466403 | − | 0.807833i | −0.532861 | − | 0.846203i | \(-0.678883\pi\) |
0.999264 | + | 0.0383697i | \(0.0122165\pi\) | |||||||
\(114\) | 4.61411 | + | 2.66396i | 0.432151 | + | 0.249503i | ||||
\(115\) | −0.804326 | + | 0.804326i | −0.0750038 | + | 0.0750038i | ||||
\(116\) | 7.54652 | + | 4.35699i | 0.700677 | + | 0.404536i | ||||
\(117\) | −2.68146 | + | 2.41035i | −0.247901 | + | 0.222837i | ||||
\(118\) | 0.872447i | 0.0803153i | ||||||||
\(119\) | 11.2057 | − | 14.5583i | 1.02723 | − | 1.33456i | ||||
\(120\) | −0.739062 | − | 1.28009i | −0.0674668 | − | 0.116856i | ||||
\(121\) | 23.0425i | 2.09477i | ||||||||
\(122\) | 5.45461 | − | 1.46156i | 0.493837 | − | 0.132323i | ||||
\(123\) | −6.34954 | − | 1.70135i | −0.572519 | − | 0.153406i | ||||
\(124\) | 0.277556 | − | 0.277556i | 0.0249253 | − | 0.0249253i | ||||
\(125\) | −8.16833 | + | 8.16833i | −0.730598 | + | 0.730598i | ||||
\(126\) | −2.10143 | + | 1.60748i | −0.187210 | + | 0.143206i | ||||
\(127\) | −9.01558 | + | 5.20515i | −0.800003 | + | 0.461882i | −0.843472 | − | 0.537173i | \(-0.819492\pi\) |
0.0434689 | + | 0.999055i | \(0.486159\pi\) | |||||||
\(128\) | −0.965926 | + | 0.258819i | −0.0853766 | + | 0.0228766i | ||||
\(129\) | 0.0825059 | − | 0.142904i | 0.00726424 | − | 0.0125820i | ||||
\(130\) | −3.96353 | + | 3.56280i | −0.347624 | + | 0.312478i | ||||
\(131\) | −3.41500 | + | 1.97165i | −0.298370 | + | 0.172264i | −0.641710 | − | 0.766947i | \(-0.721775\pi\) |
0.343340 | + | 0.939211i | \(0.388442\pi\) | |||||||
\(132\) | −1.51010 | + | 5.63579i | −0.131438 | + | 0.490532i | ||||
\(133\) | 5.41397 | − | 13.0152i | 0.469451 | − | 1.12856i | ||||
\(134\) | −4.14211 | − | 2.39145i | −0.357824 | − | 0.206590i | ||||
\(135\) | −1.42776 | − | 0.382567i | −0.122882 | − | 0.0329261i | ||||
\(136\) | 1.79718 | − | 6.70718i | 0.154107 | − | 0.575136i | ||||
\(137\) | −0.739423 | + | 2.75957i | −0.0631732 | + | 0.235766i | −0.990292 | − | 0.139002i | \(-0.955611\pi\) |
0.927119 | + | 0.374767i | \(0.122277\pi\) | |||||||
\(138\) | 0.743327 | + | 0.199174i | 0.0632762 | + | 0.0169548i | ||||
\(139\) | −8.27684 | − | 4.77864i | −0.702033 | − | 0.405319i | 0.106071 | − | 0.994359i | \(-0.466173\pi\) |
−0.808104 | + | 0.589040i | \(0.799506\pi\) | |||||||
\(140\) | −3.10617 | + | 2.37606i | −0.262520 | + | 0.200813i | ||||
\(141\) | 3.23250 | − | 12.0638i | 0.272225 | − | 1.01596i | ||||
\(142\) | 4.55854 | − | 2.63188i | 0.382544 | − | 0.220862i | ||||
\(143\) | 21.0072 | + | 1.11849i | 1.75671 | + | 0.0935326i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 12.4415 | − | 3.33368i | 1.03321 | − | 0.276847i | ||||
\(146\) | 8.02326 | − | 4.63223i | 0.664010 | − | 0.383366i | ||||
\(147\) | 4.93488 | + | 4.96457i | 0.407022 | + | 0.409471i | ||||
\(148\) | 4.14694 | − | 4.14694i | 0.340876 | − | 0.340876i | ||||
\(149\) | 7.38712 | − | 7.38712i | 0.605176 | − | 0.605176i | −0.336505 | − | 0.941682i | \(-0.609245\pi\) |
0.941682 | + | 0.336505i | \(0.109245\pi\) | |||||||
\(150\) | 2.71922 | + | 0.728614i | 0.222024 | + | 0.0594911i | ||||
\(151\) | 4.33716 | − | 1.16214i | 0.352953 | − | 0.0945734i | −0.0779863 | − | 0.996954i | \(-0.524849\pi\) |
0.430939 | + | 0.902381i | \(0.358182\pi\) | |||||||
\(152\) | − | 5.32792i | − | 0.432151i | ||||||
\(153\) | −3.47189 | − | 6.01349i | −0.280686 | − | 0.486162i | ||||
\(154\) | 15.3018 | + | 2.03787i | 1.23305 | + | 0.164217i | ||||
\(155\) | − | 0.580198i | − | 0.0466027i | ||||||
\(156\) | 3.42815 | + | 1.11703i | 0.274472 | + | 0.0894342i | ||||
\(157\) | 12.7423 | + | 7.35677i | 1.01695 | + | 0.587134i | 0.913218 | − | 0.407472i | \(-0.133590\pi\) |
0.103728 | + | 0.994606i | \(0.466923\pi\) | |||||||
\(158\) | 5.60671 | − | 5.60671i | 0.446046 | − | 0.446046i | ||||
\(159\) | 7.70367 | + | 4.44772i | 0.610941 | + | 0.352727i | ||||
\(160\) | −0.739062 | + | 1.28009i | −0.0584280 | + | 0.101200i | ||||
\(161\) | 0.268784 | − | 2.01821i | 0.0211831 | − | 0.159058i | ||||
\(162\) | 0.258819 | + | 0.965926i | 0.0203347 | + | 0.0758903i | ||||
\(163\) | −16.2530 | − | 16.2530i | −1.27303 | − | 1.27303i | −0.944489 | − | 0.328542i | \(-0.893443\pi\) |
−0.328542 | − | 0.944489i | \(-0.606557\pi\) | |||||||
\(164\) | 1.70135 | + | 6.34954i | 0.132853 | + | 0.495816i | ||||
\(165\) | 4.31213 | + | 7.46883i | 0.335699 | + | 0.581447i | ||||
\(166\) | −6.57021 | + | 11.3799i | −0.509947 | + | 0.883254i | ||||
\(167\) | −0.821354 | − | 0.220081i | −0.0635583 | − | 0.0170304i | 0.226900 | − | 0.973918i | \(-0.427141\pi\) |
−0.290458 | + | 0.956888i | \(0.593808\pi\) | |||||||
\(168\) | 2.44283 | + | 1.01615i | 0.188469 | + | 0.0783977i | ||||
\(169\) | 1.38041 | − | 12.9265i | 0.106185 | − | 0.994346i | ||||
\(170\) | −5.13189 | − | 8.88869i | −0.393598 | − | 0.681731i | ||||
\(171\) | −3.76741 | − | 3.76741i | −0.288101 | − | 0.288101i | ||||
\(172\) | −0.165012 | −0.0125820 | ||||||||
\(173\) | 9.23304 | 0.701975 | 0.350988 | − | 0.936380i | \(-0.385846\pi\) | ||||
0.350988 | + | 0.936380i | \(0.385846\pi\) | |||||||
\(174\) | −6.16171 | − | 6.16171i | −0.467118 | − | 0.467118i | ||||
\(175\) | 0.983259 | − | 7.38299i | 0.0743274 | − | 0.558102i | ||||
\(176\) | 5.63579 | − | 1.51010i | 0.424813 | − | 0.113828i | ||||
\(177\) | 0.225806 | − | 0.842719i | 0.0169726 | − | 0.0633426i | ||||
\(178\) | 7.72249 | − | 4.45858i | 0.578825 | − | 0.334185i | ||||
\(179\) | − | 10.4418i | − | 0.780454i | −0.920719 | − | 0.390227i | \(-0.872396\pi\) | ||
0.920719 | − | 0.390227i | \(-0.127604\pi\) | |||||||
\(180\) | 0.382567 | + | 1.42776i | 0.0285148 | + | 0.106419i | ||||
\(181\) | 1.21138 | 0.0900414 | 0.0450207 | − | 0.998986i | \(-0.485665\pi\) | ||||
0.0450207 | + | 0.998986i | \(0.485665\pi\) | |||||||
\(182\) | 1.76029 | − | 9.37557i | 0.130482 | − | 0.694964i | ||||
\(183\) | −5.64703 | −0.417440 | ||||||||
\(184\) | −0.199174 | − | 0.743327i | −0.0146833 | − | 0.0547988i | ||||
\(185\) | − | 8.66869i | − | 0.637335i | ||||||
\(186\) | −0.339935 | + | 0.196262i | −0.0249253 | + | 0.0143906i | ||||
\(187\) | −10.4858 | + | 39.1337i | −0.766800 | + | 2.86174i | ||||
\(188\) | −12.0638 | + | 3.23250i | −0.879846 | + | 0.235754i | ||||
\(189\) | 2.44587 | − | 1.00882i | 0.177911 | − | 0.0733807i | ||||
\(190\) | −5.56870 | − | 5.56870i | −0.403996 | − | 0.403996i | ||||
\(191\) | −24.8840 | −1.80054 | −0.900271 | − | 0.435329i | \(-0.856632\pi\) | ||||
−0.900271 | + | 0.435329i | \(0.856632\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | −13.1115 | − | 13.1115i | −0.943787 | − | 0.943787i | 0.0547154 | − | 0.998502i | \(-0.482575\pi\) |
−0.998502 | + | 0.0547154i | \(0.982575\pi\) | |||||||
\(194\) | −0.441110 | − | 0.764025i | −0.0316699 | − | 0.0548538i | ||||
\(195\) | 4.75059 | − | 2.41556i | 0.340197 | − | 0.172982i | ||||
\(196\) | 1.83201 | − | 6.75602i | 0.130858 | − | 0.482573i | ||||
\(197\) | 0.939199 | + | 0.251658i | 0.0669152 | + | 0.0179299i | 0.292121 | − | 0.956381i | \(-0.405639\pi\) |
−0.225206 | + | 0.974311i | \(0.572306\pi\) | |||||||
\(198\) | 2.91730 | − | 5.05291i | 0.207323 | − | 0.359094i | ||||
\(199\) | −0.585830 | − | 1.01469i | −0.0415284 | − | 0.0719293i | 0.844514 | − | 0.535533i | \(-0.179889\pi\) |
−0.886043 | + | 0.463604i | \(0.846556\pi\) | |||||||
\(200\) | −0.728614 | − | 2.71922i | −0.0515208 | − | 0.192278i | ||||
\(201\) | 3.38202 | + | 3.38202i | 0.238549 | + | 0.238549i | ||||
\(202\) | −3.09759 | − | 11.5604i | −0.217946 | − | 0.813384i | ||||
\(203\) | −14.0624 | + | 18.2697i | −0.986989 | + | 1.28228i | ||||
\(204\) | −3.47189 | + | 6.01349i | −0.243081 | + | 0.421029i | ||||
\(205\) | 8.41473 | + | 4.85825i | 0.587710 | + | 0.339315i | ||||
\(206\) | −9.05727 | + | 9.05727i | −0.631050 | + | 0.631050i | ||||
\(207\) | −0.666449 | − | 0.384774i | −0.0463214 | − | 0.0267437i | ||||
\(208\) | −0.746698 | − | 3.52738i | −0.0517742 | − | 0.244580i | ||||
\(209\) | 31.0863i | 2.15028i | ||||||||
\(210\) | 3.61530 | − | 1.49116i | 0.249480 | − | 0.102900i | ||||
\(211\) | 8.43264 | + | 14.6058i | 0.580527 | + | 1.00550i | 0.995417 | + | 0.0956302i | \(0.0304866\pi\) |
−0.414890 | + | 0.909871i | \(0.636180\pi\) | |||||||
\(212\) | − | 8.89544i | − | 0.610941i | ||||||
\(213\) | −5.08439 | + | 1.36236i | −0.348377 | + | 0.0933473i | ||||
\(214\) | −2.56863 | − | 0.688262i | −0.175588 | − | 0.0470486i | ||||
\(215\) | −0.172469 | + | 0.172469i | −0.0117623 | + | 0.0117623i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | 0.630974 | + | 0.824860i | 0.0428333 | + | 0.0559951i | ||||
\(218\) | 12.9821 | − | 7.49520i | 0.879256 | − | 0.507639i | ||||
\(219\) | −8.94879 | + | 2.39782i | −0.604703 | + | 0.162030i | ||||
\(220\) | 4.31213 | − | 7.46883i | 0.290724 | − | 0.503548i | ||||
\(221\) | 23.8044 | + | 7.75643i | 1.60125 | + | 0.521754i | ||||
\(222\) | −5.07894 | + | 2.93233i | −0.340876 | + | 0.196805i | ||||
\(223\) | −0.0655089 | + | 0.244483i | −0.00438680 | + | 0.0163718i | −0.968085 | − | 0.250624i | \(-0.919364\pi\) |
0.963698 | + | 0.266996i | \(0.0860309\pi\) | |||||||
\(224\) | −0.341405 | − | 2.62363i | −0.0228111 | − | 0.175299i | ||||
\(225\) | −2.43799 | − | 1.40757i | −0.162533 | − | 0.0938383i | ||||
\(226\) | 9.57798 | + | 2.56641i | 0.637118 | + | 0.170715i | ||||
\(227\) | −0.432323 | + | 1.61345i | −0.0286943 | + | 0.107088i | −0.978788 | − | 0.204877i | \(-0.934321\pi\) |
0.950093 | + | 0.311965i | \(0.100987\pi\) | |||||||
\(228\) | −1.37897 | + | 5.14638i | −0.0913243 | + | 0.340827i | ||||
\(229\) | 25.9161 | + | 6.94421i | 1.71259 | + | 0.458886i | 0.976056 | − | 0.217517i | \(-0.0697959\pi\) |
0.736531 | + | 0.676404i | \(0.236463\pi\) | |||||||
\(230\) | −0.985094 | − | 0.568744i | −0.0649552 | − | 0.0375019i | ||||
\(231\) | −14.2529 | − | 5.92883i | −0.937775 | − | 0.390088i | ||||
\(232\) | −2.25534 | + | 8.41705i | −0.148071 | + | 0.552607i | ||||
\(233\) | −14.5436 | + | 8.39675i | −0.952783 | + | 0.550089i | −0.893944 | − | 0.448178i | \(-0.852073\pi\) |
−0.0588383 | + | 0.998268i | \(0.518740\pi\) | |||||||
\(234\) | −3.02223 | − | 1.96624i | −0.197570 | − | 0.128537i | ||||
\(235\) | −9.23045 | + | 15.9876i | −0.602128 | + | 1.04292i | ||||
\(236\) | −0.842719 | + | 0.225806i | −0.0548563 | + | 0.0146987i | ||||
\(237\) | −6.86679 | + | 3.96454i | −0.446046 | + | 0.257525i | ||||
\(238\) | 16.9625 | + | 7.05593i | 1.09952 | + | 0.457368i | ||||
\(239\) | −1.66598 | + | 1.66598i | −0.107763 | + | 0.107763i | −0.758933 | − | 0.651169i | \(-0.774279\pi\) |
0.651169 | + | 0.758933i | \(0.274279\pi\) | |||||||
\(240\) | 1.04519 | − | 1.04519i | 0.0674668 | − | 0.0674668i | ||||
\(241\) | 14.3501 | + | 3.84511i | 0.924373 | + | 0.247685i | 0.689454 | − | 0.724330i | \(-0.257851\pi\) |
0.234919 | + | 0.972015i | \(0.424517\pi\) | |||||||
\(242\) | −22.2573 | + | 5.96384i | −1.43076 | + | 0.383370i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 2.82351 | + | 4.89047i | 0.180757 | + | 0.313080i | ||||
\(245\) | −5.14653 | − | 8.97613i | −0.328800 | − | 0.573464i | ||||
\(246\) | − | 6.57353i | − | 0.419113i | ||||||
\(247\) | 19.1829 | + | 1.02136i | 1.22058 | + | 0.0649875i | ||||
\(248\) | 0.339935 | + | 0.196262i | 0.0215859 | + | 0.0124626i | ||||
\(249\) | 9.29167 | − | 9.29167i | 0.588836 | − | 0.588836i | ||||
\(250\) | −10.0041 | − | 5.77588i | −0.632716 | − | 0.365299i | ||||
\(251\) | −5.71406 | + | 9.89703i | −0.360668 | + | 0.624695i | −0.988071 | − | 0.154000i | \(-0.950785\pi\) |
0.627403 | + | 0.778695i | \(0.284118\pi\) | |||||||
\(252\) | −2.09660 | − | 1.61378i | −0.132073 | − | 0.101658i | ||||
\(253\) | 1.16210 | + | 4.33701i | 0.0730605 | + | 0.272666i | ||||
\(254\) | −7.36119 | − | 7.36119i | −0.461882 | − | 0.461882i | ||||
\(255\) | 2.65646 | + | 9.91405i | 0.166354 | + | 0.620842i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −4.76323 | + | 8.25015i | −0.297122 | + | 0.514630i | −0.975476 | − | 0.220105i | \(-0.929360\pi\) |
0.678354 | + | 0.734735i | \(0.262693\pi\) | |||||||
\(258\) | 0.159389 | + | 0.0427082i | 0.00992313 | + | 0.00265889i | ||||
\(259\) | 9.42732 | + | 12.3242i | 0.585785 | + | 0.765786i | ||||
\(260\) | −4.46724 | − | 2.90635i | −0.277046 | − | 0.180244i | ||||
\(261\) | 4.35699 | + | 7.54652i | 0.269691 | + | 0.467118i | ||||
\(262\) | −2.78834 | − | 2.78834i | −0.172264 | − | 0.172264i | ||||
\(263\) | 23.1506 | 1.42753 | 0.713763 | − | 0.700387i | \(-0.246989\pi\) | ||||
0.713763 | + | 0.700387i | \(0.246989\pi\) | |||||||
\(264\) | −5.83459 | −0.359094 | ||||||||
\(265\) | −9.29744 | − | 9.29744i | −0.571137 | − | 0.571137i | ||||
\(266\) | 13.9730 | + | 1.86091i | 0.856738 | + | 0.114099i | ||||
\(267\) | −8.61332 | + | 2.30793i | −0.527126 | + | 0.141243i | ||||
\(268\) | 1.23791 | − | 4.61993i | 0.0756171 | − | 0.282207i | ||||
\(269\) | −23.8047 | + | 13.7436i | −1.45140 | + | 0.837965i | −0.998561 | − | 0.0536283i | \(-0.982921\pi\) |
−0.452837 | + | 0.891593i | \(0.649588\pi\) | |||||||
\(270\) | − | 1.47812i | − | 0.0899558i | ||||||
\(271\) | −7.23129 | − | 26.9875i | −0.439270 | − | 1.63938i | −0.730638 | − | 0.682765i | \(-0.760777\pi\) |
0.291368 | − | 0.956611i | \(-0.405890\pi\) | |||||||
\(272\) | 6.94378 | 0.421029 | ||||||||
\(273\) | −4.12689 | + | 8.60051i | −0.249771 | + | 0.520527i | ||||
\(274\) | −2.85691 | −0.172592 | ||||||||
\(275\) | 4.25117 | + | 15.8656i | 0.256355 | + | 0.956730i | ||||
\(276\) | 0.769549i | 0.0463214i | ||||||||
\(277\) | −7.25671 | + | 4.18966i | −0.436013 | + | 0.251732i | −0.701905 | − | 0.712271i | \(-0.747667\pi\) |
0.265892 | + | 0.964003i | \(0.414334\pi\) | |||||||
\(278\) | 2.47361 | − | 9.23162i | 0.148357 | − | 0.553676i | ||||
\(279\) | 0.379148 | − | 0.101593i | 0.0226990 | − | 0.00608218i | ||||
\(280\) | −3.09903 | − | 2.38537i | −0.185203 | − | 0.142553i | ||||
\(281\) | −2.04772 | − | 2.04772i | −0.122156 | − | 0.122156i | 0.643386 | − | 0.765542i | \(-0.277529\pi\) |
−0.765542 | + | 0.643386i | \(0.777529\pi\) | |||||||
\(282\) | 12.4894 | 0.743734 | ||||||||
\(283\) | 0.899767 | 0.0534856 | 0.0267428 | − | 0.999642i | \(-0.491486\pi\) | ||||
0.0267428 | + | 0.999642i | \(0.491486\pi\) | |||||||
\(284\) | 3.72203 | + | 3.72203i | 0.220862 | + | 0.220862i | ||||
\(285\) | 3.93766 | + | 6.82024i | 0.233247 | + | 0.403996i | ||||
\(286\) | 4.35668 | + | 20.5809i | 0.257616 | + | 1.21697i | ||||
\(287\) | −17.2465 | + | 2.24423i | −1.01803 | + | 0.132473i | ||||
\(288\) | −0.965926 | − | 0.258819i | −0.0569177 | − | 0.0152511i | ||||
\(289\) | −15.6081 | + | 27.0339i | −0.918121 | + | 1.59023i | ||||
\(290\) | 6.44017 | + | 11.1547i | 0.378180 | + | 0.655027i | ||||
\(291\) | 0.228335 | + | 0.852159i | 0.0133853 | + | 0.0499545i | ||||
\(292\) | 6.55097 | + | 6.55097i | 0.383366 | + | 0.383366i | ||||
\(293\) | −8.10572 | − | 30.2510i | −0.473541 | − | 1.76728i | −0.626889 | − | 0.779108i | \(-0.715672\pi\) |
0.153348 | − | 0.988172i | \(-0.450994\pi\) | |||||||
\(294\) | −3.51817 | + | 6.05165i | −0.205184 | + | 0.352939i | ||||
\(295\) | −0.644793 | + | 1.11681i | −0.0375413 | + | 0.0650234i | ||||
\(296\) | 5.07894 | + | 2.93233i | 0.295207 | + | 0.170438i | ||||
\(297\) | −4.12568 | + | 4.12568i | −0.239396 | + | 0.239396i | ||||
\(298\) | 9.04733 | + | 5.22348i | 0.524098 | + | 0.302588i | ||||
\(299\) | 2.71449 | − | 0.574621i | 0.156983 | − | 0.0332312i | ||||
\(300\) | 2.81515i | 0.162533i | ||||||||
\(301\) | 0.0576343 | − | 0.432759i | 0.00332199 | − | 0.0249438i | ||||
\(302\) | 2.24508 | + | 3.88859i | 0.129190 | + | 0.223763i | ||||
\(303\) | 11.9682i | 0.687553i | ||||||||
\(304\) | 5.14638 | − | 1.37897i | 0.295165 | − | 0.0790892i | ||||
\(305\) | 8.06259 | + | 2.16036i | 0.461663 | + | 0.123702i | ||||
\(306\) | 4.91000 | − | 4.91000i | 0.280686 | − | 0.280686i | ||||
\(307\) | −6.31072 | + | 6.31072i | −0.360172 | + | 0.360172i | −0.863876 | − | 0.503704i | \(-0.831970\pi\) |
0.503704 | + | 0.863876i | \(0.331970\pi\) | |||||||
\(308\) | 1.99196 | + | 15.3078i | 0.113502 | + | 0.872244i | ||||
\(309\) | 11.0928 | − | 6.40446i | 0.631050 | − | 0.364337i | ||||
\(310\) | 0.560429 | − | 0.150166i | 0.0318302 | − | 0.00852888i | ||||
\(311\) | 0.856069 | − | 1.48276i | 0.0485432 | − | 0.0840793i | −0.840733 | − | 0.541450i | \(-0.817875\pi\) |
0.889276 | + | 0.457371i | \(0.151209\pi\) | |||||||
\(312\) | −0.191699 | + | 3.60045i | −0.0108528 | + | 0.203835i | ||||
\(313\) | −10.9749 | + | 6.33634i | −0.620336 | + | 0.358151i | −0.777000 | − | 0.629501i | \(-0.783259\pi\) |
0.156664 | + | 0.987652i | \(0.449926\pi\) | |||||||
\(314\) | −3.80814 | + | 14.2122i | −0.214906 | + | 0.802040i | ||||
\(315\) | −3.87805 | + | 0.504639i | −0.218504 | + | 0.0284332i | ||||
\(316\) | 6.86679 | + | 3.96454i | 0.386287 | + | 0.223023i | ||||
\(317\) | 13.3185 | + | 3.56867i | 0.748039 | + | 0.200436i | 0.612648 | − | 0.790356i | \(-0.290104\pi\) |
0.135391 | + | 0.990792i | \(0.456771\pi\) | |||||||
\(318\) | −2.30231 | + | 8.59233i | −0.129107 | + | 0.481834i | ||||
\(319\) | 13.1590 | − | 49.1101i | 0.736763 | − | 2.74964i | ||||
\(320\) | −1.42776 | − | 0.382567i | −0.0798141 | − | 0.0213861i | ||||
\(321\) | 2.30297 | + | 1.32962i | 0.128539 | + | 0.0742121i | ||||
\(322\) | 2.01901 | − | 0.262728i | 0.112515 | − | 0.0146412i | ||||
\(323\) | −9.57525 | + | 35.7353i | −0.532781 | + | 1.98837i | ||||
\(324\) | −0.866025 | + | 0.500000i | −0.0481125 | + | 0.0277778i | ||||
\(325\) | 9.93011 | − | 2.10207i | 0.550823 | − | 0.116602i | ||||
\(326\) | 11.4926 | − | 19.9058i | 0.636516 | − | 1.10248i | ||||
\(327\) | −14.4796 | + | 3.87980i | −0.800724 | + | 0.214553i | ||||
\(328\) | −5.69284 | + | 3.28676i | −0.314335 | + | 0.181481i | ||||
\(329\) | −4.26394 | − | 32.7676i | −0.235079 | − | 1.80654i | ||||
\(330\) | −6.09827 | + | 6.09827i | −0.335699 | + | 0.335699i | ||||
\(331\) | 18.1988 | − | 18.1988i | 1.00030 | − | 1.00030i | 0.000297733 | − | 1.00000i | \(-0.499905\pi\) |
1.00000 | 0.000297733i | \(-9.47714e-5\pi\) | ||||||||
\(332\) | −12.6927 | − | 3.40099i | −0.696600 | − | 0.186653i | ||||
\(333\) | 5.66482 | − | 1.51788i | 0.310430 | − | 0.0831795i | ||||
\(334\) | − | 0.850328i | − | 0.0465279i | ||||||
\(335\) | −3.53486 | − | 6.12256i | −0.193130 | − | 0.334511i | ||||
\(336\) | −0.349274 | + | 2.62260i | −0.0190545 | + | 0.143074i | ||||
\(337\) | − | 33.5630i | − | 1.82829i | −0.405383 | − | 0.914147i | \(-0.632862\pi\) | ||
0.405383 | − | 0.914147i | \(-0.367138\pi\) | |||||||
\(338\) | 12.8433 | − | 2.01225i | 0.698584 | − | 0.109452i | ||||
\(339\) | −8.58738 | − | 4.95793i | −0.466403 | − | 0.269278i | ||||
\(340\) | 7.25758 | − | 7.25758i | 0.393598 | − | 0.393598i | ||||
\(341\) | −1.98338 | − | 1.14511i | −0.107406 | − | 0.0620110i | ||||
\(342\) | 2.66396 | − | 4.61411i | 0.144050 | − | 0.249503i | ||||
\(343\) | 17.0784 | + | 7.16432i | 0.922148 | + | 0.386837i | ||||
\(344\) | −0.0427082 | − | 0.159389i | −0.00230267 | − | 0.00859368i | ||||
\(345\) | 0.804326 | + | 0.804326i | 0.0433035 | + | 0.0433035i | ||||
\(346\) | 2.38969 | + | 8.91843i | 0.128470 | + | 0.479458i | ||||
\(347\) | 14.7530 | + | 25.5529i | 0.791983 | + | 1.37175i | 0.924738 | + | 0.380605i | \(0.124284\pi\) |
−0.132755 | + | 0.991149i | \(0.542382\pi\) | |||||||
\(348\) | 4.35699 | − | 7.54652i | 0.233559 | − | 0.404536i | ||||
\(349\) | −18.0248 | − | 4.82973i | −0.964844 | − | 0.258529i | −0.258195 | − | 0.966093i | \(-0.583128\pi\) |
−0.706650 | + | 0.707564i | \(0.749794\pi\) | |||||||
\(350\) | 7.38591 | − | 0.961105i | 0.394794 | − | 0.0513732i | ||||
\(351\) | 2.41035 | + | 2.68146i | 0.128655 | + | 0.143126i | ||||
\(352\) | 2.91730 | + | 5.05291i | 0.155492 | + | 0.269321i | ||||
\(353\) | −17.2943 | − | 17.2943i | −0.920481 | − | 0.920481i | 0.0765819 | − | 0.997063i | \(-0.475599\pi\) |
−0.997063 | + | 0.0765819i | \(0.975599\pi\) | |||||||
\(354\) | 0.872447 | 0.0463700 | ||||||||
\(355\) | 7.78048 | 0.412945 | ||||||||
\(356\) | 6.30539 | + | 6.30539i | 0.334185 | + | 0.334185i | ||||
\(357\) | −14.5583 | − | 11.2057i | −0.770508 | − | 0.593070i | ||||
\(358\) | 10.0860 | − | 2.70253i | 0.533060 | − | 0.142833i | ||||
\(359\) | −6.21830 | + | 23.2070i | −0.328189 | + | 1.22482i | 0.582877 | + | 0.812560i | \(0.301927\pi\) |
−0.911067 | + | 0.412259i | \(0.864740\pi\) | |||||||
\(360\) | −1.28009 | + | 0.739062i | −0.0674668 | + | 0.0389520i | ||||
\(361\) | 9.38674i | 0.494039i | ||||||||
\(362\) | 0.313529 | + | 1.17011i | 0.0164787 | + | 0.0614994i | ||||
\(363\) | 23.0425 | 1.20942 | ||||||||
\(364\) | 9.51171 | − | 0.726263i | 0.498549 | − | 0.0380665i | ||||
\(365\) | 13.6940 | 0.716779 | ||||||||
\(366\) | −1.46156 | − | 5.45461i | −0.0763969 | − | 0.285117i | ||||
\(367\) | − | 7.06387i | − | 0.368731i | −0.982858 | − | 0.184366i | \(-0.940977\pi\) | ||
0.982858 | − | 0.184366i | \(-0.0590230\pi\) | |||||||
\(368\) | 0.666449 | − | 0.384774i | 0.0347410 | − | 0.0200577i | ||||
\(369\) | −1.70135 | + | 6.34954i | −0.0885690 | + | 0.330544i | ||||
\(370\) | 8.37331 | − | 2.24362i | 0.435308 | − | 0.116640i | ||||
\(371\) | 23.3291 | + | 3.10695i | 1.21119 | + | 0.161305i | ||||
\(372\) | −0.277556 | − | 0.277556i | −0.0143906 | − | 0.0143906i | ||||
\(373\) | −11.2090 | −0.580381 | −0.290191 | − | 0.956969i | \(-0.593719\pi\) | ||||
−0.290191 | + | 0.956969i | \(0.593719\pi\) | |||||||
\(374\) | −40.5142 | −2.09494 | ||||||||
\(375\) | 8.16833 | + | 8.16833i | 0.421811 | + | 0.421811i | ||||
\(376\) | −6.24471 | − | 10.8161i | −0.322046 | − | 0.557800i | ||||
\(377\) | −29.8728 | − | 9.73379i | −1.53853 | − | 0.501316i | ||||
\(378\) | 1.60748 | + | 2.10143i | 0.0826799 | + | 0.108086i | ||||
\(379\) | 3.13887 | + | 0.841057i | 0.161233 | + | 0.0432022i | 0.338532 | − | 0.940955i | \(-0.390070\pi\) |
−0.177300 | + | 0.984157i | \(0.556736\pi\) | |||||||
\(380\) | 3.93766 | − | 6.82024i | 0.201998 | − | 0.349871i | ||||
\(381\) | 5.20515 | + | 9.01558i | 0.266668 | + | 0.461882i | ||||
\(382\) | −6.44045 | − | 24.0361i | −0.329522 | − | 1.22979i | ||||
\(383\) | 4.20655 | + | 4.20655i | 0.214945 | + | 0.214945i | 0.806364 | − | 0.591419i | \(-0.201432\pi\) |
−0.591419 | + | 0.806364i | \(0.701432\pi\) | |||||||
\(384\) | 0.258819 | + | 0.965926i | 0.0132078 | + | 0.0492922i | ||||
\(385\) | 18.0816 | + | 13.9176i | 0.921523 | + | 0.709309i | ||||
\(386\) | 9.27123 | − | 16.0582i | 0.471893 | − | 0.817343i | ||||
\(387\) | −0.142904 | − | 0.0825059i | −0.00726424 | − | 0.00419401i | ||||
\(388\) | 0.623824 | − | 0.623824i | 0.0316699 | − | 0.0316699i | ||||
\(389\) | 8.00851 | + | 4.62372i | 0.406048 | + | 0.234432i | 0.689090 | − | 0.724676i | \(-0.258010\pi\) |
−0.283042 | + | 0.959107i | \(0.591344\pi\) | |||||||
\(390\) | 3.56280 | + | 3.96353i | 0.180409 | + | 0.200701i | ||||
\(391\) | 5.34358i | 0.270236i | ||||||||
\(392\) | 6.99997 | + | 0.0210005i | 0.353552 | + | 0.00106069i | ||||
\(393\) | 1.97165 | + | 3.41500i | 0.0994567 | + | 0.172264i | ||||
\(394\) | 0.972331i | 0.0489853i | ||||||||
\(395\) | 11.3208 | − | 3.03340i | 0.569612 | − | 0.152627i | ||||
\(396\) | 5.63579 | + | 1.51010i | 0.283209 | + | 0.0758856i | ||||
\(397\) | 7.19597 | − | 7.19597i | 0.361155 | − | 0.361155i | −0.503083 | − | 0.864238i | \(-0.667801\pi\) |
0.864238 | + | 0.503083i | \(0.167801\pi\) | |||||||
\(398\) | 0.828489 | − | 0.828489i | 0.0415284 | − | 0.0415284i | ||||
\(399\) | −13.0152 | − | 5.41397i | −0.651576 | − | 0.271038i | ||||
\(400\) | 2.43799 | − | 1.40757i | 0.121899 | − | 0.0703787i | ||||
\(401\) | 10.7267 | − | 2.87422i | 0.535668 | − | 0.143532i | 0.0191636 | − | 0.999816i | \(-0.493900\pi\) |
0.516504 | + | 0.856285i | \(0.327233\pi\) | |||||||
\(402\) | −2.39145 | + | 4.14211i | −0.119275 | + | 0.206590i | ||||
\(403\) | −0.771796 | + | 1.18630i | −0.0384459 | + | 0.0590937i | ||||
\(404\) | 10.3647 | − | 5.98408i | 0.515665 | − | 0.297719i | ||||
\(405\) | −0.382567 | + | 1.42776i | −0.0190099 | + | 0.0709459i | ||||
\(406\) | −21.2868 | − | 8.85471i | −1.05645 | − | 0.439452i | ||||
\(407\) | −29.6336 | − | 17.1089i | −1.46888 | − | 0.848059i | ||||
\(408\) | −6.70718 | − | 1.79718i | −0.332055 | − | 0.0889738i | ||||
\(409\) | 3.35256 | − | 12.5119i | 0.165773 | − | 0.618675i | −0.832167 | − | 0.554525i | \(-0.812900\pi\) |
0.997940 | − | 0.0641495i | \(-0.0204334\pi\) | |||||||
\(410\) | −2.51481 | + | 9.38541i | −0.124198 | + | 0.463512i | ||||
\(411\) | 2.75957 | + | 0.739423i | 0.136119 | + | 0.0364731i | ||||
\(412\) | −11.0928 | − | 6.40446i | −0.546505 | − | 0.315525i | ||||
\(413\) | −0.297857 | − | 2.28898i | −0.0146566 | − | 0.112633i | ||||
\(414\) | 0.199174 | − | 0.743327i | 0.00978886 | − | 0.0365325i | ||||
\(415\) | −16.8210 | + | 9.71158i | −0.825708 | + | 0.476723i | ||||
\(416\) | 3.21393 | − | 1.63421i | 0.157576 | − | 0.0801237i | ||||
\(417\) | −4.77864 | + | 8.27684i | −0.234011 | + | 0.405319i | ||||
\(418\) | −30.0270 | + | 8.04571i | −1.46867 | + | 0.393529i | ||||
\(419\) | 19.5436 | − | 11.2835i | 0.954768 | − | 0.551236i | 0.0602092 | − | 0.998186i | \(-0.480823\pi\) |
0.894559 | + | 0.446950i | \(0.147490\pi\) | |||||||
\(420\) | 2.37606 | + | 3.10617i | 0.115940 | + | 0.151566i | ||||
\(421\) | −14.4017 | + | 14.4017i | −0.701895 | + | 0.701895i | −0.964817 | − | 0.262922i | \(-0.915314\pi\) |
0.262922 | + | 0.964817i | \(0.415314\pi\) | |||||||
\(422\) | −11.9255 | + | 11.9255i | −0.580527 | + | 0.580527i | ||||
\(423\) | −12.0638 | − | 3.23250i | −0.586564 | − | 0.157169i | ||||
\(424\) | 8.59233 | − | 2.30231i | 0.417280 | − | 0.111810i | ||||
\(425\) | 19.5478i | 0.948206i | ||||||||
\(426\) | −2.63188 | − | 4.55854i | −0.127515 | − | 0.220862i | ||||
\(427\) | −13.8119 | + | 5.69682i | −0.668405 | + | 0.275688i | ||||
\(428\) | − | 2.65924i | − | 0.128539i | ||||||
\(429\) | 1.11849 | − | 21.0072i | 0.0540011 | − | 1.01424i | ||||
\(430\) | −0.211230 | − | 0.121954i | −0.0101864 | − | 0.00588114i | ||||
\(431\) | −1.31565 | + | 1.31565i | −0.0633728 | + | 0.0633728i | −0.738083 | − | 0.674710i | \(-0.764269\pi\) |
0.674710 | + | 0.738083i | \(0.264269\pi\) | |||||||
\(432\) | 0.866025 | + | 0.500000i | 0.0416667 | + | 0.0240563i | ||||
\(433\) | 16.6576 | − | 28.8518i | 0.800514 | − | 1.38653i | −0.118765 | − | 0.992922i | \(-0.537894\pi\) |
0.919279 | − | 0.393608i | \(-0.128773\pi\) | |||||||
\(434\) | −0.633446 | + | 0.822963i | −0.0304064 | + | 0.0395035i | ||||
\(435\) | −3.33368 | − | 12.4415i | −0.159838 | − | 0.596522i | ||||
\(436\) | 10.5998 | + | 10.5998i | 0.507639 | + | 0.507639i | ||||
\(437\) | 1.06118 | + | 3.96039i | 0.0507632 | + | 0.189451i | ||||
\(438\) | −4.63223 | − | 8.02326i | −0.221337 | − | 0.383366i | ||||
\(439\) | 12.1665 | − | 21.0730i | 0.580675 | − | 1.00576i | −0.414724 | − | 0.909947i | \(-0.636122\pi\) |
0.995399 | − | 0.0958117i | \(-0.0305447\pi\) | |||||||
\(440\) | 8.33039 | + | 2.23212i | 0.397136 | + | 0.106412i | ||||
\(441\) | 4.96457 | − | 4.93488i | 0.236408 | − | 0.234994i | ||||
\(442\) | −1.33112 | + | 25.0008i | −0.0633148 | + | 1.18916i | ||||
\(443\) | 15.5729 | + | 26.9730i | 0.739890 | + | 1.28153i | 0.952545 | + | 0.304399i | \(0.0984556\pi\) |
−0.212655 | + | 0.977127i | \(0.568211\pi\) | |||||||
\(444\) | −4.14694 | − | 4.14694i | −0.196805 | − | 0.196805i | ||||
\(445\) | 13.1807 | 0.624824 | ||||||||
\(446\) | −0.253107 | −0.0119850 | ||||||||
\(447\) | −7.38712 | − | 7.38712i | −0.349399 | − | 0.349399i | ||||
\(448\) | 2.44587 | − | 1.00882i | 0.115557 | − | 0.0476621i | ||||
\(449\) | −11.1005 | + | 2.97437i | −0.523866 | + | 0.140369i | −0.511054 | − | 0.859549i | \(-0.670745\pi\) |
−0.0128116 | + | 0.999918i | \(0.504078\pi\) | |||||||
\(450\) | 0.728614 | − | 2.71922i | 0.0343472 | − | 0.128185i | ||||
\(451\) | 33.2154 | − | 19.1769i | 1.56405 | − | 0.903007i | ||||
\(452\) | 9.91586i | 0.466403i | ||||||||
\(453\) | −1.16214 | − | 4.33716i | −0.0546020 | − | 0.203777i | ||||
\(454\) | −1.67037 | −0.0783942 | ||||||||
\(455\) | 9.18247 | − | 10.7006i | 0.430481 | − | 0.501654i | ||||
\(456\) | −5.32792 | −0.249503 | ||||||||
\(457\) | −9.87919 | − | 36.8696i | −0.462129 | − | 1.72469i | −0.666237 | − | 0.745740i | \(-0.732096\pi\) |
0.204108 | − | 0.978948i | \(-0.434571\pi\) | |||||||
\(458\) | 26.8304i | 1.25370i | ||||||||
\(459\) | −6.01349 | + | 3.47189i | −0.280686 | + | 0.162054i | ||||
\(460\) | 0.294404 | − | 1.09873i | 0.0137266 | − | 0.0512285i | ||||
\(461\) | 6.32045 | − | 1.69356i | 0.294373 | − | 0.0788770i | −0.108610 | − | 0.994084i | \(-0.534640\pi\) |
0.402983 | + | 0.915207i | \(0.367973\pi\) | |||||||
\(462\) | 2.03787 | − | 15.3018i | 0.0948105 | − | 0.711903i | ||||
\(463\) | −10.5716 | − | 10.5716i | −0.491304 | − | 0.491304i | 0.417413 | − | 0.908717i | \(-0.362937\pi\) |
−0.908717 | + | 0.417413i | \(0.862937\pi\) | |||||||
\(464\) | −8.71398 | −0.404536 | ||||||||
\(465\) | −0.580198 | −0.0269061 | ||||||||
\(466\) | −11.8748 | − | 11.8748i | −0.550089 | − | 0.550089i | ||||
\(467\) | −0.763124 | − | 1.32177i | −0.0353132 | − | 0.0611642i | 0.847829 | − | 0.530270i | \(-0.177910\pi\) |
−0.883142 | + | 0.469106i | \(0.844576\pi\) | |||||||
\(468\) | 1.11703 | − | 3.42815i | 0.0516349 | − | 0.158466i | ||||
\(469\) | 11.6838 | + | 4.86015i | 0.539509 | + | 0.224421i | ||||
\(470\) | −17.8319 | − | 4.77803i | −0.822523 | − | 0.220394i | ||||
\(471\) | 7.35677 | − | 12.7423i | 0.338982 | − | 0.587134i | ||||
\(472\) | −0.436223 | − | 0.755561i | −0.0200788 | − | 0.0347775i | ||||
\(473\) | 0.249185 | + | 0.929971i | 0.0114575 | + | 0.0427601i | ||||
\(474\) | −5.60671 | − | 5.60671i | −0.257525 | − | 0.257525i | ||||
\(475\) | 3.88200 | + | 14.4878i | 0.178118 | + | 0.664746i | ||||
\(476\) | −2.42528 | + | 18.2107i | −0.111163 | + | 0.834688i | ||||
\(477\) | 4.44772 | − | 7.70367i | 0.203647 | − | 0.352727i | ||||
\(478\) | −2.04040 | − | 1.17803i | −0.0933257 | − | 0.0538816i | ||||
\(479\) | 2.47503 | − | 2.47503i | 0.113087 | − | 0.113087i | −0.648299 | − | 0.761386i | \(-0.724519\pi\) |
0.761386 | + | 0.648299i | \(0.224519\pi\) | |||||||
\(480\) | 1.28009 | + | 0.739062i | 0.0584280 | + | 0.0337334i | ||||
\(481\) | −11.5313 | + | 17.7244i | −0.525783 | + | 0.808161i | ||||
\(482\) | 14.8563i | 0.676688i | ||||||||
\(483\) | −2.01821 | − | 0.268784i | −0.0918320 | − | 0.0122301i | ||||
\(484\) | −11.5212 | − | 19.9554i | −0.523693 | − | 0.907063i | ||||
\(485\) | − | 1.30403i | − | 0.0592130i | ||||||
\(486\) | 0.965926 | − | 0.258819i | 0.0438153 | − | 0.0117403i | ||||
\(487\) | −4.22270 | − | 1.13147i | −0.191349 | − | 0.0512718i | 0.161872 | − | 0.986812i | \(-0.448247\pi\) |
−0.353221 | + | 0.935540i | \(0.614914\pi\) | |||||||
\(488\) | −3.99305 | + | 3.99305i | −0.180757 | + | 0.180757i | ||||
\(489\) | −16.2530 | + | 16.2530i | −0.734985 | + | 0.734985i | ||||
\(490\) | 7.33826 | − | 7.29436i | 0.331509 | − | 0.329526i | ||||
\(491\) | 0.333214 | − | 0.192381i | 0.0150377 | − | 0.00868203i | −0.492462 | − | 0.870334i | \(-0.663903\pi\) |
0.507500 | + | 0.861652i | \(0.330570\pi\) | |||||||
\(492\) | 6.34954 | − | 1.70135i | 0.286259 | − | 0.0767030i | ||||
\(493\) | 30.2540 | − | 52.4014i | 1.36257 | − | 2.36004i | ||||
\(494\) | 3.97835 | + | 18.7936i | 0.178994 | + | 0.845565i | ||||
\(495\) | 7.46883 | − | 4.31213i | 0.335699 | − | 0.193816i | ||||
\(496\) | −0.101593 | + | 0.379148i | −0.00456164 | + | 0.0170243i | ||||
\(497\) | −11.0614 | + | 8.46138i | −0.496172 | + | 0.379545i | ||||
\(498\) | 11.3799 | + | 6.57021i | 0.509947 | + | 0.294418i | ||||
\(499\) | 8.20014 | + | 2.19722i | 0.367089 | + | 0.0983612i | 0.437648 | − | 0.899146i | \(-0.355812\pi\) |
−0.0705590 | + | 0.997508i | \(0.522478\pi\) | |||||||
\(500\) | 2.98982 | − | 11.1581i | 0.133709 | − | 0.499007i | ||||
\(501\) | −0.220081 | + | 0.821354i | −0.00983250 | + | 0.0366954i | ||||
\(502\) | −11.0387 | − | 2.95781i | −0.492682 | − | 0.132014i | ||||
\(503\) | 6.42502 | + | 3.70948i | 0.286477 | + | 0.165398i | 0.636352 | − | 0.771399i | \(-0.280443\pi\) |
−0.349875 | + | 0.936796i | \(0.613776\pi\) | |||||||
\(504\) | 1.01615 | − | 2.44283i | 0.0452629 | − | 0.108812i | ||||
\(505\) | 4.57862 | − | 17.0877i | 0.203746 | − | 0.760391i | ||||
\(506\) | −3.88846 | + | 2.24500i | −0.172863 | + | 0.0998025i | ||||
\(507\) | −12.9265 | − | 1.38041i | −0.574086 | − | 0.0613060i | ||||
\(508\) | 5.20515 | − | 9.01558i | 0.230941 | − | 0.400002i | ||||
\(509\) | 11.8661 | − | 3.17952i | 0.525957 | − | 0.140930i | 0.0139366 | − | 0.999903i | \(-0.495564\pi\) |
0.512021 | + | 0.858973i | \(0.328897\pi\) | |||||||
\(510\) | −8.88869 | + | 5.13189i | −0.393598 | + | 0.227244i | ||||
\(511\) | −19.4686 | + | 14.8925i | −0.861241 | + | 0.658803i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −3.76741 | + | 3.76741i | −0.166335 | + | 0.166335i | ||||
\(514\) | −9.20185 | − | 2.46563i | −0.405876 | − | 0.108754i | ||||
\(515\) | −18.2880 | + | 4.90026i | −0.805867 | + | 0.215931i | ||||
\(516\) | 0.165012i | 0.00726424i | ||||||||
\(517\) | 36.4353 | + | 63.1078i | 1.60242 | + | 2.77548i | ||||
\(518\) | −9.46425 | + | 12.2958i | −0.415835 | + | 0.540247i | ||||
\(519\) | − | 9.23304i | − | 0.405285i | ||||||
\(520\) | 1.65111 | − | 5.06724i | 0.0724061 | − | 0.222213i | ||||
\(521\) | −9.80499 | − | 5.66091i | −0.429564 | − | 0.248009i | 0.269597 | − | 0.962973i | \(-0.413110\pi\) |
−0.699161 | + | 0.714964i | \(0.746443\pi\) | |||||||
\(522\) | −6.16171 | + | 6.16171i | −0.269691 | + | 0.269691i | ||||
\(523\) | 0.607906 | + | 0.350975i | 0.0265819 | + | 0.0153471i | 0.513232 | − | 0.858250i | \(-0.328448\pi\) |
−0.486650 | + | 0.873597i | \(0.661781\pi\) | |||||||
\(524\) | 1.97165 | − | 3.41500i | 0.0861320 | − | 0.149185i | ||||
\(525\) | −7.38299 | − | 0.983259i | −0.322220 | − | 0.0429129i | ||||
\(526\) | 5.99181 | + | 22.3617i | 0.261255 | + | 0.975018i | ||||
\(527\) | −1.92729 | − | 1.92729i | −0.0839540 | − | 0.0839540i | ||||
\(528\) | −1.51010 | − | 5.63579i | −0.0657189 | − | 0.245266i | ||||
\(529\) | −11.2039 | − | 19.4057i | −0.487126 | − | 0.843727i | ||||
\(530\) | 6.57428 | − | 11.3870i | 0.285568 | − | 0.494619i | ||||
\(531\) | −0.842719 | − | 0.225806i | −0.0365709 | − | 0.00979914i | ||||
\(532\) | 1.81898 | + | 13.9785i | 0.0788627 | + | 0.606045i | ||||
\(533\) | −10.7425 | − | 21.1269i | −0.465310 | − | 0.915106i | ||||
\(534\) | −4.45858 | − | 7.72249i | −0.192942 | − | 0.334185i | ||||
\(535\) | −2.77942 | − | 2.77942i | −0.120165 | − | 0.120165i | ||||
\(536\) | 4.78290 | 0.206590 | ||||||||
\(537\) | −10.4418 | −0.450596 | ||||||||
\(538\) | −19.4365 | − | 19.4365i | −0.837965 | − | 0.837965i | ||||
\(539\) | −40.8420 | − | 0.122529i | −1.75919 | − | 0.00527771i | ||||
\(540\) | 1.42776 | − | 0.382567i | 0.0614409 | − | 0.0164631i | ||||
\(541\) | −2.08100 | + | 7.76639i | −0.0894691 | + | 0.333903i | −0.996123 | − | 0.0879721i | \(-0.971961\pi\) |
0.906654 | + | 0.421875i | \(0.138628\pi\) | |||||||
\(542\) | 24.1964 | − | 13.9698i | 1.03932 | − | 0.600053i | ||||
\(543\) | − | 1.21138i | − | 0.0519854i | ||||||
\(544\) | 1.79718 | + | 6.70718i | 0.0770536 | + | 0.287568i | ||||
\(545\) | 22.1577 | 0.949130 | ||||||||
\(546\) | −9.37557 | − | 1.76029i | −0.401237 | − | 0.0753336i | ||||
\(547\) | 13.2526 | 0.566641 | 0.283321 | − | 0.959025i | \(-0.408564\pi\) | ||||
0.283321 | + | 0.959025i | \(0.408564\pi\) | |||||||
\(548\) | −0.739423 | − | 2.75957i | −0.0315866 | − | 0.117883i | ||||
\(549\) | 5.64703i | 0.241009i | ||||||||
\(550\) | −14.2247 | + | 8.21262i | −0.606542 | + | 0.350187i | ||||
\(551\) | 12.0163 | − | 44.8454i | 0.511911 | − | 1.91048i | ||||
\(552\) | −0.743327 | + | 0.199174i | −0.0316381 | + | 0.00847740i | ||||
\(553\) | −12.7958 | + | 16.6241i | −0.544132 | + | 0.706928i | ||||
\(554\) | −5.92508 | − | 5.92508i | −0.251732 | − | 0.251732i | ||||
\(555\) | −8.66869 | −0.367965 | ||||||||
\(556\) | 9.55728 | 0.405319 | ||||||||
\(557\) | 5.97510 | + | 5.97510i | 0.253173 | + | 0.253173i | 0.822270 | − | 0.569097i | \(-0.192707\pi\) |
−0.569097 | + | 0.822270i | \(0.692707\pi\) | |||||||
\(558\) | 0.196262 | + | 0.339935i | 0.00830842 | + | 0.0143906i | ||||
\(559\) | 0.582060 | − | 0.123214i | 0.0246185 | − | 0.00521139i | ||||
\(560\) | 1.50200 | − | 3.61081i | 0.0634710 | − | 0.152585i | ||||
\(561\) | 39.1337 | + | 10.4858i | 1.65222 | + | 0.442712i | ||||
\(562\) | 1.44795 | − | 2.50793i | 0.0610782 | − | 0.105791i | ||||
\(563\) | −6.08867 | − | 10.5459i | −0.256607 | − | 0.444456i | 0.708724 | − | 0.705486i | \(-0.249271\pi\) |
−0.965331 | + | 0.261030i | \(0.915938\pi\) | |||||||
\(564\) | 3.23250 | + | 12.0638i | 0.136113 | + | 0.507980i | ||||
\(565\) | 10.3640 | + | 10.3640i | 0.436016 | + | 0.436016i | ||||
\(566\) | 0.232877 | + | 0.869108i | 0.00978854 | + | 0.0365313i | ||||
\(567\) | −1.00882 | − | 2.44587i | −0.0423663 | − | 0.102717i | ||||
\(568\) | −2.63188 | + | 4.55854i | −0.110431 | + | 0.191272i | ||||
\(569\) | −15.5153 | − | 8.95779i | −0.650437 | − | 0.375530i | 0.138187 | − | 0.990406i | \(-0.455873\pi\) |
−0.788624 | + | 0.614876i | \(0.789206\pi\) | |||||||
\(570\) | −5.56870 | + | 5.56870i | −0.233247 | + | 0.233247i | ||||
\(571\) | −32.2814 | − | 18.6377i | −1.35093 | − | 0.779962i | −0.362554 | − | 0.931963i | \(-0.618095\pi\) |
−0.988380 | + | 0.152001i | \(0.951428\pi\) | |||||||
\(572\) | −18.7520 | + | 9.53495i | −0.784060 | + | 0.398676i | ||||
\(573\) | 24.8840i | 1.03954i | ||||||||
\(574\) | −6.63149 | − | 16.0780i | −0.276793 | − | 0.671083i | ||||
\(575\) | 1.08320 | + | 1.87615i | 0.0451724 | + | 0.0782409i | ||||
\(576\) | − | 1.00000i | − | 0.0416667i | ||||||
\(577\) | 3.72390 | − | 0.997816i | 0.155028 | − | 0.0415396i | −0.180470 | − | 0.983580i | \(-0.557762\pi\) |
0.335498 | + | 0.942041i | \(0.391095\pi\) | |||||||
\(578\) | −30.1525 | − | 8.07933i | −1.25418 | − | 0.336056i | ||||
\(579\) | −13.1115 | + | 13.1115i | −0.544895 | + | 0.544895i | ||||
\(580\) | −9.10778 | + | 9.10778i | −0.378180 | + | 0.378180i | ||||
\(581\) | 13.3526 | − | 32.0998i | 0.553961 | − | 1.33173i | ||||
\(582\) | −0.764025 | + | 0.441110i | −0.0316699 | + | 0.0182846i | ||||
\(583\) | −50.1328 | + | 13.4330i | −2.07629 | + | 0.556339i | ||||
\(584\) | −4.63223 | + | 8.02326i | −0.191683 | + | 0.332005i | ||||
\(585\) | −2.41556 | − | 4.75059i | −0.0998713 | − | 0.196413i | ||||
\(586\) | 27.1223 | − | 15.6591i | 1.12041 | − | 0.646870i | ||||
\(587\) | 8.69926 | − | 32.4661i | 0.359057 | − | 1.34002i | −0.516245 | − | 0.856441i | \(-0.672671\pi\) |
0.875302 | − | 0.483577i | \(-0.160663\pi\) | |||||||
\(588\) | −6.75602 | − | 1.83201i | −0.278613 | − | 0.0755508i | ||||
\(589\) | −1.81115 | − | 1.04567i | −0.0746270 | − | 0.0430859i | ||||
\(590\) | −1.24564 | − | 0.333769i | −0.0512823 | − | 0.0137411i | ||||
\(591\) | 0.251658 | − | 0.939199i | 0.0103518 | − | 0.0386335i | ||||
\(592\) | −1.51788 | + | 5.66482i | −0.0623847 | + | 0.232823i | ||||
\(593\) | −46.3688 | − | 12.4245i | −1.90414 | − | 0.510212i | −0.995751 | − | 0.0920820i | \(-0.970648\pi\) |
−0.908387 | − | 0.418130i | \(-0.862686\pi\) | |||||||
\(594\) | −5.05291 | − | 2.91730i | −0.207323 | − | 0.119698i | ||||
\(595\) | 16.4988 | + | 21.5686i | 0.676386 | + | 0.884226i | ||||
\(596\) | −2.70387 | + | 10.0910i | −0.110755 | + | 0.413343i | ||||
\(597\) | −1.01469 | + | 0.585830i | −0.0415284 | + | 0.0239764i | ||||
\(598\) | 1.25760 | + | 2.47328i | 0.0514272 | + | 0.101140i | ||||
\(599\) | 8.59552 | − | 14.8879i | 0.351204 | − | 0.608302i | −0.635257 | − | 0.772301i | \(-0.719106\pi\) |
0.986461 | + | 0.163998i | \(0.0524392\pi\) | |||||||
\(600\) | −2.71922 | + | 0.728614i | −0.111012 | + | 0.0297455i | ||||
\(601\) | −8.13421 | + | 4.69629i | −0.331801 | + | 0.191566i | −0.656641 | − | 0.754204i | \(-0.728023\pi\) |
0.324839 | + | 0.945769i | \(0.394690\pi\) | |||||||
\(602\) | 0.432930 | − | 0.0563358i | 0.0176449 | − | 0.00229607i | ||||
\(603\) | 3.38202 | − | 3.38202i | 0.137727 | − | 0.137727i | ||||
\(604\) | −3.17502 | + | 3.17502i | −0.129190 | + | 0.129190i | ||||
\(605\) | −32.8991 | − | 8.81529i | −1.33754 | − | 0.358393i | ||||
\(606\) | −11.5604 | + | 3.09759i | −0.469608 | + | 0.125831i | ||||
\(607\) | 7.92139i | 0.321519i | 0.986994 | + | 0.160760i | \(0.0513944\pi\) | ||||
−0.986994 | + | 0.160760i | \(0.948606\pi\) | |||||||
\(608\) | 2.66396 | + | 4.61411i | 0.108038 | + | 0.187127i | ||||
\(609\) | 18.2697 | + | 14.0624i | 0.740325 | + | 0.569838i | ||||
\(610\) | 8.34701i | 0.337960i | ||||||||
\(611\) | 40.1401 | − | 20.4103i | 1.62390 | − | 0.825713i | ||||
\(612\) | 6.01349 | + | 3.47189i | 0.243081 | + | 0.140343i | ||||
\(613\) | −15.6552 | + | 15.6552i | −0.632307 | + | 0.632307i | −0.948646 | − | 0.316339i | \(-0.897546\pi\) |
0.316339 | + | 0.948646i | \(0.397546\pi\) | |||||||
\(614\) | −7.72903 | − | 4.46236i | −0.311918 | − | 0.180086i | ||||
\(615\) | 4.85825 | − | 8.41473i | 0.195903 | − | 0.339315i | ||||
\(616\) | −14.2707 | + | 5.88604i | −0.574982 | + | 0.237155i | ||||
\(617\) | 12.1595 | + | 45.3797i | 0.489521 | + | 1.82692i | 0.558775 | + | 0.829320i | \(0.311272\pi\) |
−0.0692532 | + | 0.997599i | \(0.522062\pi\) | |||||||
\(618\) | 9.05727 | + | 9.05727i | 0.364337 | + | 0.364337i | ||||
\(619\) | −6.76879 | − | 25.2615i | −0.272061 | − | 1.01534i | −0.957786 | − | 0.287483i | \(-0.907181\pi\) |
0.685725 | − | 0.727861i | \(-0.259485\pi\) | |||||||
\(620\) | 0.290099 | + | 0.502466i | 0.0116507 | + | 0.0201795i | ||||
\(621\) | −0.384774 | + | 0.666449i | −0.0154405 | + | 0.0267437i | ||||
\(622\) | 1.65380 | + | 0.443134i | 0.0663113 | + | 0.0177681i | ||||
\(623\) | −18.7388 | + | 14.3342i | −0.750754 | + | 0.574286i | ||||
\(624\) | −3.52738 | + | 0.746698i | −0.141208 | + | 0.0298919i | ||||
\(625\) | −1.49960 | − | 2.59739i | −0.0599840 | − | 0.103895i | ||||
\(626\) | −8.96094 | − | 8.96094i | −0.358151 | − | 0.358151i | ||||
\(627\) | 31.0863 | 1.24147 | ||||||||
\(628\) | −14.7135 | −0.587134 | ||||||||
\(629\) | −28.7954 | − | 28.7954i | −1.14815 | − | 1.14815i | ||||
\(630\) | −1.49116 | − | 3.61530i | −0.0594091 | − | 0.144037i | ||||
\(631\) | −30.2532 | + | 8.10633i | −1.20436 | + | 0.322708i | −0.804547 | − | 0.593888i | \(-0.797592\pi\) |
−0.399814 | + | 0.916596i | \(0.630925\pi\) | |||||||
\(632\) | −2.05220 | + | 7.65891i | −0.0816320 | + | 0.304655i | ||||
\(633\) | 14.6058 | − | 8.43264i | 0.580527 | − | 0.335167i | ||||
\(634\) | 13.7883i | 0.547603i | ||||||||
\(635\) | −3.98263 | − | 14.8634i | −0.158046 | − | 0.589836i | ||||
\(636\) | −8.89544 | −0.352727 | ||||||||
\(637\) | −1.41750 | + | 25.1990i | −0.0561634 | + | 0.998422i | ||||
\(638\) | 50.8425 | 2.01287 | ||||||||
\(639\) | 1.36236 | + | 5.08439i | 0.0538941 | + | 0.201135i | ||||
\(640\) | − | 1.47812i | − | 0.0584280i | ||||||
\(641\) | −22.3360 | + | 12.8957i | −0.882218 | + | 0.509349i | −0.871389 | − | 0.490592i | \(-0.836780\pi\) |
−0.0108290 | + | 0.999941i | \(0.503447\pi\) | |||||||
\(642\) | −0.688262 | + | 2.56863i | −0.0271635 | + | 0.101376i | ||||
\(643\) | 17.7658 | − | 4.76034i | 0.700616 | − | 0.187730i | 0.109110 | − | 0.994030i | \(-0.465200\pi\) |
0.591507 | + | 0.806300i | \(0.298533\pi\) | |||||||
\(644\) | 0.776334 | + | 1.88222i | 0.0305918 | + | 0.0741697i | ||||
\(645\) | 0.172469 | + | 0.172469i | 0.00679096 | + | 0.00679096i | ||||
\(646\) | −36.9959 | −1.45559 | ||||||||
\(647\) | 3.70498 | 0.145658 | 0.0728289 | − | 0.997344i | \(-0.476797\pi\) | ||||
0.0728289 | + | 0.997344i | \(0.476797\pi\) | |||||||
\(648\) | −0.707107 | − | 0.707107i | −0.0277778 | − | 0.0277778i | ||||
\(649\) | 2.54519 | + | 4.40839i | 0.0999073 | + | 0.173045i | ||||
\(650\) | 4.60054 | + | 9.04769i | 0.180448 | + | 0.354880i | ||||
\(651\) | 0.824860 | − | 0.630974i | 0.0323288 | − | 0.0247298i | ||||
\(652\) | 22.2020 | + | 5.94900i | 0.869497 | + | 0.232981i | ||||
\(653\) | 6.05347 | − | 10.4849i | 0.236891 | − | 0.410307i | −0.722930 | − | 0.690921i | \(-0.757205\pi\) |
0.959820 | + | 0.280615i | \(0.0905384\pi\) | |||||||
\(654\) | −7.49520 | − | 12.9821i | −0.293085 | − | 0.507639i | ||||
\(655\) | −1.50858 | − | 5.63009i | −0.0589450 | − | 0.219986i | ||||
\(656\) | −4.64819 | − | 4.64819i | −0.181481 | − | 0.181481i | ||||
\(657\) | 2.39782 | + | 8.94879i | 0.0935479 | + | 0.349125i | ||||
\(658\) | 30.5475 | − | 12.5995i | 1.19087 | − | 0.491181i | ||||
\(659\) | 6.59589 | − | 11.4244i | 0.256939 | − | 0.445032i | −0.708481 | − | 0.705730i | \(-0.750619\pi\) |
0.965420 | + | 0.260698i | \(0.0839526\pi\) | |||||||
\(660\) | −7.46883 | − | 4.31213i | −0.290724 | − | 0.167849i | ||||
\(661\) | −8.93254 | + | 8.93254i | −0.347436 | + | 0.347436i | −0.859154 | − | 0.511718i | \(-0.829009\pi\) |
0.511718 | + | 0.859154i | \(0.329009\pi\) | |||||||
\(662\) | 22.2889 | + | 12.8685i | 0.866283 | + | 0.500149i | ||||
\(663\) | 7.75643 | − | 23.8044i | 0.301235 | − | 0.924485i | ||||
\(664\) | − | 13.1404i | − | 0.509947i | ||||||
\(665\) | 16.5114 | + | 12.7090i | 0.640284 | + | 0.492835i | ||||
\(666\) | 2.93233 | + | 5.07894i | 0.113625 | + | 0.196805i | ||||
\(667\) | − | 6.70583i | − | 0.259651i | ||||||
\(668\) | 0.821354 | − | 0.220081i | 0.0317791 | − | 0.00851519i | ||||
\(669\) | 0.244483 | + | 0.0655089i | 0.00945225 | + | 0.00253272i | ||||
\(670\) | 4.99905 | − | 4.99905i | 0.193130 | − | 0.193130i | ||||
\(671\) | 23.2978 | − | 23.2978i | 0.899403 | − | 0.899403i | ||||
\(672\) | −2.62363 | + | 0.341405i | −0.101209 | + | 0.0131700i | ||||
\(673\) | 33.2503 | − | 19.1971i | 1.28170 | − | 0.739993i | 0.304545 | − | 0.952498i | \(-0.401496\pi\) |
0.977160 | + | 0.212505i | \(0.0681623\pi\) | |||||||
\(674\) | 32.4194 | − | 8.68675i | 1.24875 | − | 0.334601i | ||||
\(675\) | −1.40757 | + | 2.43799i | −0.0541775 | + | 0.0938383i | ||||
\(676\) | 5.26778 | + | 11.8849i | 0.202607 | + | 0.457111i | ||||
\(677\) | −30.8327 | + | 17.8013i | −1.18500 | + | 0.684158i | −0.957165 | − | 0.289543i | \(-0.906497\pi\) |
−0.227831 | + | 0.973701i | \(0.573163\pi\) | |||||||
\(678\) | 2.56641 | − | 9.57798i | 0.0985625 | − | 0.367840i | ||||
\(679\) | 1.41815 | + | 1.85392i | 0.0544237 | + | 0.0711471i | ||||
\(680\) | 8.88869 | + | 5.13189i | 0.340866 | + | 0.196799i | ||||
\(681\) | 1.61345 | + | 0.432323i | 0.0618276 | + | 0.0165666i | ||||
\(682\) | 0.592751 | − | 2.21218i | 0.0226976 | − | 0.0847086i | ||||
\(683\) | 4.33967 | − | 16.1959i | 0.166053 | − | 0.619718i | −0.831851 | − | 0.554999i | \(-0.812718\pi\) |
0.997904 | − | 0.0647182i | \(-0.0206149\pi\) | |||||||
\(684\) | 5.14638 | + | 1.37897i | 0.196777 | + | 0.0527261i | ||||
\(685\) | −3.65712 | − | 2.11144i | −0.139731 | − | 0.0806738i | ||||
\(686\) | −2.49998 | + | 18.3508i | −0.0954498 | + | 0.700635i | ||||
\(687\) | 6.94421 | − | 25.9161i | 0.264938 | − | 0.988763i | ||||
\(688\) | 0.142904 | − | 0.0825059i | 0.00544818 | − | 0.00314551i | ||||
\(689\) | 6.64221 | + | 31.3776i | 0.253048 | + | 1.19539i | ||||
\(690\) | −0.568744 | + | 0.985094i | −0.0216517 | + | 0.0375019i | ||||
\(691\) | 1.39827 | − | 0.374666i | 0.0531928 | − | 0.0142530i | −0.232125 | − | 0.972686i | \(-0.574568\pi\) |
0.285317 | + | 0.958433i | \(0.407901\pi\) | |||||||
\(692\) | −7.99605 | + | 4.61652i | −0.303964 | + | 0.175494i | ||||
\(693\) | −5.92883 | + | 14.2529i | −0.225218 | + | 0.541425i | ||||
\(694\) | −20.8639 | + | 20.8639i | −0.791983 | + | 0.791983i | ||||
\(695\) | 9.98919 | − | 9.98919i | 0.378911 | − | 0.378911i | ||||
\(696\) | 8.41705 | + | 2.25534i | 0.319048 | + | 0.0854885i | ||||
\(697\) | 44.0898 | − | 11.8138i | 1.67002 | − | 0.447481i | ||||
\(698\) | − | 18.6606i | − | 0.706315i | ||||||
\(699\) | 8.39675 | + | 14.5436i | 0.317594 | + | 0.550089i | ||||
\(700\) | 2.83997 | + | 6.88549i | 0.107341 | + | 0.260247i | ||||
\(701\) | 22.7118i | 0.857812i | 0.903349 | + | 0.428906i | \(0.141101\pi\) | ||||
−0.903349 | + | 0.428906i | \(0.858899\pi\) | |||||||
\(702\) | −1.96624 | + | 3.02223i | −0.0742110 | + | 0.114067i | ||||
\(703\) | −27.0602 | − | 15.6232i | −1.02059 | − | 0.589240i | ||||
\(704\) | −4.12568 | + | 4.12568i | −0.155492 | + | 0.155492i | ||||
\(705\) | 15.9876 | + | 9.23045i | 0.602128 | + | 0.347639i | ||||
\(706\) | 12.2289 | − | 21.1811i | 0.460241 | − | 0.797160i | ||||
\(707\) | 12.0737 | + | 29.2726i | 0.454078 | + | 1.10091i | ||||
\(708\) | 0.225806 | + | 0.842719i | 0.00848630 | + | 0.0316713i | ||||
\(709\) | 15.5796 | + | 15.5796i | 0.585105 | + | 0.585105i | 0.936302 | − | 0.351197i | \(-0.114225\pi\) |
−0.351197 | + | 0.936302i | \(0.614225\pi\) | |||||||
\(710\) | 2.01374 | + | 7.51537i | 0.0755742 | + | 0.282047i | ||||
\(711\) | 3.96454 | + | 6.86679i | 0.148682 | + | 0.257525i | ||||
\(712\) | −4.45858 | + | 7.72249i | −0.167092 | + | 0.289413i | ||||
\(713\) | −0.291773 | − | 0.0781804i | −0.0109270 | − | 0.00292788i | ||||
\(714\) | 7.05593 | − | 16.9625i | 0.264062 | − | 0.634806i | ||||
\(715\) | −9.63358 | + | 29.5653i | −0.360275 | + | 1.10568i | ||||
\(716\) | 5.22088 | + | 9.04284i | 0.195114 | + | 0.337947i | ||||
\(717\) | 1.66598 | + | 1.66598i | 0.0622171 | + | 0.0622171i | ||||
\(718\) | −24.0257 | −0.896630 | ||||||||
\(719\) | 22.5463 | 0.840835 | 0.420417 | − | 0.907331i | \(-0.361884\pi\) | ||||
0.420417 | + | 0.907331i | \(0.361884\pi\) | |||||||
\(720\) | −1.04519 | − | 1.04519i | −0.0389520 | − | 0.0389520i | ||||
\(721\) | 20.6707 | − | 26.8551i | 0.769819 | − | 1.00014i | ||||
\(722\) | −9.06689 | + | 2.42947i | −0.337435 | + | 0.0904154i | ||||
\(723\) | 3.84511 | − | 14.3501i | 0.143001 | − | 0.533687i | ||||
\(724\) | −1.04909 | + | 0.605691i | −0.0389890 | + | 0.0225103i | ||||
\(725\) | − | 24.5311i | − | 0.911063i | ||||||
\(726\) | 5.96384 | + | 22.2573i | 0.221339 | + | 0.826047i | ||||
\(727\) | 22.2011 | 0.823394 | 0.411697 | − | 0.911321i | \(-0.364936\pi\) | ||||
0.411697 | + | 0.911321i | \(0.364936\pi\) | |||||||
\(728\) | 3.16333 | + | 8.99963i | 0.117241 | + | 0.333549i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 3.54428 | + | 13.2274i | 0.131180 | + | 0.489569i | ||||
\(731\) | 1.14581i | 0.0423791i | ||||||||
\(732\) | 4.89047 | − | 2.82351i | 0.180757 | − | 0.104360i | ||||
\(733\) | −6.11108 | + | 22.8069i | −0.225718 | + | 0.842390i | 0.756398 | + | 0.654112i | \(0.226957\pi\) |
−0.982116 | + | 0.188279i | \(0.939709\pi\) | |||||||
\(734\) | 6.82318 | − | 1.82827i | 0.251848 | − | 0.0674825i | ||||
\(735\) | −8.97613 | + | 5.14653i | −0.331090 | + | 0.189833i | ||||
\(736\) | 0.544153 | + | 0.544153i | 0.0200577 | + | 0.0200577i | ||||
\(737\) | −27.9063 | −1.02794 | ||||||||
\(738\) | −6.57353 | −0.241975 | ||||||||
\(739\) | −17.7024 | − | 17.7024i | −0.651192 | − | 0.651192i | 0.302088 | − | 0.953280i | \(-0.402316\pi\) |
−0.953280 | + | 0.302088i | \(0.902316\pi\) | |||||||
\(740\) | 4.33434 | + | 7.50731i | 0.159334 | + | 0.275974i | ||||
\(741\) | 1.02136 | − | 19.1829i | 0.0375205 | − | 0.704702i | ||||
\(742\) | 3.03694 | + | 23.3383i | 0.111490 | + | 0.856778i | ||||
\(743\) | −13.5455 | − | 3.62950i | −0.496936 | − | 0.133154i | 0.00164161 | − | 0.999999i | \(-0.499477\pi\) |
−0.498578 | + | 0.866845i | \(0.666144\pi\) | |||||||
\(744\) | 0.196262 | − | 0.339935i | 0.00719530 | − | 0.0124626i | ||||
\(745\) | 7.72095 | + | 13.3731i | 0.282874 | + | 0.489952i | ||||
\(746\) | −2.90111 | − | 10.8271i | −0.106217 | − | 0.396408i | ||||
\(747\) | −9.29167 | − | 9.29167i | −0.339965 | − | 0.339965i | ||||
\(748\) | −10.4858 | − | 39.1337i | −0.383400 | − | 1.43087i | ||||
\(749\) | 6.97411 | + | 0.928804i | 0.254828 | + | 0.0339378i | ||||
\(750\) | −5.77588 | + | 10.0041i | −0.210905 | + | 0.365299i | ||||
\(751\) | −27.8132 | − | 16.0580i | −1.01492 | − | 0.585964i | −0.102291 | − | 0.994755i | \(-0.532617\pi\) |
−0.912628 | + | 0.408791i | \(0.865951\pi\) | |||||||
\(752\) | 8.83135 | − | 8.83135i | 0.322046 | − | 0.322046i | ||||
\(753\) | 9.89703 | + | 5.71406i | 0.360668 | + | 0.208232i | ||||
\(754\) | 1.67046 | − | 31.3742i | 0.0608346 | − | 1.14258i | ||||
\(755\) | 6.63701i | 0.241545i | ||||||||
\(756\) | −1.61378 | + | 2.09660i | −0.0586925 | + | 0.0762525i | ||||
\(757\) | 1.29840 | + | 2.24889i | 0.0471910 | + | 0.0817372i | 0.888656 | − | 0.458574i | \(-0.151640\pi\) |
−0.841465 | + | 0.540312i | \(0.818306\pi\) | |||||||
\(758\) | 3.24959i | 0.118031i | ||||||||
\(759\) | 4.33701 | − | 1.16210i | 0.157424 | − | 0.0421815i | ||||
\(760\) | 7.60698 | + | 2.03829i | 0.275934 | + | 0.0739364i | ||||
\(761\) | −10.2208 | + | 10.2208i | −0.370504 | + | 0.370504i | −0.867661 | − | 0.497157i | \(-0.834377\pi\) |
0.497157 | + | 0.867661i | \(0.334377\pi\) | |||||||
\(762\) | −7.36119 | + | 7.36119i | −0.266668 | + | 0.266668i | ||||
\(763\) | −31.5013 | + | 24.0968i | −1.14042 | + | 0.872362i | ||||
\(764\) | 21.5502 | − | 12.4420i | 0.779658 | − | 0.450136i | ||||
\(765\) | 9.91405 | − | 2.65646i | 0.358443 | − | 0.0960445i | ||||
\(766\) | −2.97448 | + | 5.15195i | −0.107472 | + | 0.186148i | ||||
\(767\) | 2.80399 | − | 1.42576i | 0.101246 | − | 0.0514812i | ||||
\(768\) | −0.866025 | + | 0.500000i | −0.0312500 | + | 0.0180422i | ||||
\(769\) | 5.20930 | − | 19.4414i | 0.187852 | − | 0.701074i | −0.806150 | − | 0.591712i | \(-0.798452\pi\) |
0.994002 | − | 0.109363i | \(-0.0348809\pi\) | |||||||
\(770\) | −8.76354 | + | 21.0676i | −0.315816 | + | 0.759225i | ||||
\(771\) | 8.25015 | + | 4.76323i | 0.297122 | + | 0.171543i | ||||
\(772\) | 17.9106 | + | 4.79914i | 0.644618 | + | 0.172725i | ||||
\(773\) | −6.98843 | + | 26.0812i | −0.251356 | + | 0.938075i | 0.718725 | + | 0.695294i | \(0.244726\pi\) |
−0.970081 | + | 0.242780i | \(0.921941\pi\) | |||||||
\(774\) | 0.0427082 | − | 0.159389i | 0.00153511 | − | 0.00572912i | ||||
\(775\) | −1.06736 | − | 0.285998i | −0.0383407 | − | 0.0102733i | ||||
\(776\) | 0.764025 | + | 0.441110i | 0.0274269 | + | 0.0158349i | ||||
\(777\) | 12.3242 | − | 9.42732i | 0.442127 | − | 0.338203i | ||||
\(778\) | −2.39341 | + | 8.93234i | −0.0858080 | + | 0.320240i | ||||
\(779\) | 30.3310 | − | 17.5116i | 1.08672 | − | 0.627419i | ||||
\(780\) | −2.90635 | + | 4.46724i | −0.104064 | + | 0.159953i | ||||
\(781\) | 15.3559 | − | 26.5972i | 0.549478 | − | 0.951724i | ||||
\(782\) | −5.16150 | + | 1.38302i | −0.184575 | + | 0.0494567i | ||||
\(783\) | 7.54652 | − | 4.35699i | 0.269691 | − | 0.155706i | ||||
\(784\) | 1.79144 | + | 6.76689i | 0.0639800 | + | 0.241674i | ||||
\(785\) | −15.3785 | + | 15.3785i | −0.548881 | + | 0.548881i | ||||
\(786\) | −2.78834 | + | 2.78834i | −0.0994567 | + | 0.0994567i | ||||
\(787\) | 28.8301 | + | 7.72500i | 1.02768 | + | 0.275367i | 0.733000 | − | 0.680229i | \(-0.238120\pi\) |
0.294682 | + | 0.955595i | \(0.404786\pi\) | |||||||
\(788\) | −0.939199 | + | 0.251658i | −0.0334576 | + | 0.00896493i | ||||
\(789\) | − | 23.1506i | − | 0.824182i | ||||||
\(790\) | 5.86009 | + | 10.1500i | 0.208492 | + | 0.361120i | ||||
\(791\) | −26.0053 | − | 3.46335i | −0.924641 | − | 0.123143i | ||||
\(792\) | 5.83459i | 0.207323i | ||||||||
\(793\) | −13.6113 | − | 15.1422i | −0.483352 | − | 0.537717i | ||||
\(794\) | 8.81322 | + | 5.08832i | 0.312770 | + | 0.180578i | ||||
\(795\) | −9.29744 | + | 9.29744i | −0.329746 | + | 0.329746i | ||||
\(796\) | 1.01469 | + | 0.585830i | 0.0359647 | + | 0.0207642i | ||||
\(797\) | −8.82062 | + | 15.2778i | −0.312442 | + | 0.541166i | −0.978891 | − | 0.204385i | \(-0.934480\pi\) |
0.666448 | + | 0.745551i | \(0.267814\pi\) | |||||||
\(798\) | 1.86091 | − | 13.9730i | 0.0658753 | − | 0.494638i | ||||
\(799\) | 22.4458 | + | 83.7687i | 0.794074 | + | 2.96352i | ||||
\(800\) | 1.99061 | + | 1.99061i | 0.0703787 | + | 0.0703787i | ||||
\(801\) | 2.30793 | + | 8.61332i | 0.0815468 | + | 0.304337i | ||||
\(802\) | 5.55257 | + | 9.61733i | 0.196068 | + | 0.339600i | ||||
\(803\) | 27.0272 | − | 46.8125i | 0.953769 | − | 1.65198i | ||||
\(804\) | −4.61993 | − | 1.23791i | −0.162932 | − | 0.0436576i | ||||
\(805\) | 2.77870 | + | 1.15586i | 0.0979362 | + | 0.0407387i | ||||
\(806\) | −1.34563 | − | 0.438461i | −0.0473978 | − | 0.0154441i | ||||
\(807\) | 13.7436 | + | 23.8047i | 0.483799 | + | 0.837965i | ||||
\(808\) | 8.46277 | + | 8.46277i | 0.297719 | + | 0.297719i | ||||
\(809\) | −11.9756 | −0.421041 | −0.210520 | − | 0.977589i | \(-0.567516\pi\) | ||||
−0.210520 | + | 0.977589i | \(0.567516\pi\) | |||||||
\(810\) | −1.47812 | −0.0519360 | ||||||||
\(811\) | 20.9279 | + | 20.9279i | 0.734877 | + | 0.734877i | 0.971582 | − | 0.236704i | \(-0.0760673\pi\) |
−0.236704 | + | 0.971582i | \(0.576067\pi\) | |||||||
\(812\) | 3.04357 | − | 22.8532i | 0.106808 | − | 0.801991i | ||||
\(813\) | −26.9875 | + | 7.23129i | −0.946494 | + | 0.253612i | ||||
\(814\) | 8.85624 | − | 33.0519i | 0.310411 | − | 1.15847i | ||||
\(815\) | 29.4232 | − | 16.9875i | 1.03065 | − | 0.595045i | ||||
\(816\) | − | 6.94378i | − | 0.243081i | ||||||
\(817\) | 0.227546 | + | 0.849212i | 0.00796082 | + | 0.0297102i | ||||
\(818\) | 12.9533 | 0.452901 | ||||||||
\(819\) | 8.60051 | + | 4.12689i | 0.300526 | + | 0.144205i | ||||
\(820\) | −9.71649 | −0.339315 | ||||||||
\(821\) | −2.26668 | − | 8.45935i | −0.0791076 | − | 0.295233i | 0.915026 | − | 0.403396i | \(-0.132170\pi\) |
−0.994133 | + | 0.108162i | \(0.965503\pi\) | |||||||
\(822\) | 2.85691i | 0.0996463i | ||||||||
\(823\) | −37.2224 | + | 21.4904i | −1.29749 | + | 0.749108i | −0.979970 | − | 0.199143i | \(-0.936184\pi\) |
−0.317522 | + | 0.948251i | \(0.602851\pi\) | |||||||
\(824\) | 3.31519 | − | 12.3725i | 0.115490 | − | 0.431015i | ||||
\(825\) | 15.8656 | − | 4.25117i | 0.552368 | − | 0.148007i | ||||
\(826\) | 2.13389 | − | 0.880140i | 0.0742476 | − | 0.0306240i | ||||
\(827\) | 38.0028 | + | 38.0028i | 1.32149 | + | 1.32149i | 0.912572 | + | 0.408915i | \(0.134093\pi\) |
0.408915 | + | 0.912572i | \(0.365907\pi\) | |||||||
\(828\) | 0.769549 | 0.0267437 | ||||||||
\(829\) | −25.7479 | −0.894262 | −0.447131 | − | 0.894468i | \(-0.647554\pi\) | ||||
−0.447131 | + | 0.894468i | \(0.647554\pi\) | |||||||
\(830\) | −13.7342 | − | 13.7342i | −0.476723 | − | 0.476723i | ||||
\(831\) | 4.18966 | + | 7.25671i | 0.145338 | + | 0.251732i | ||||
\(832\) | 2.41035 | + | 2.68146i | 0.0835639 | + | 0.0929627i | ||||
\(833\) | −46.9123 | − | 12.7211i | −1.62541 | − | 0.440759i | ||||
\(834\) | −9.23162 | − | 2.47361i | −0.319665 | − | 0.0856539i | ||||
\(835\) | 0.628445 | − | 1.08850i | 0.0217482 | − | 0.0376691i | ||||
\(836\) | −15.5431 | − | 26.9215i | −0.537570 | − | 0.931099i | ||||
\(837\) | −0.101593 | − | 0.379148i | −0.00351155 | − | 0.0131053i | ||||
\(838\) | 15.9573 | + | 15.9573i | 0.551236 | + | 0.551236i | ||||
\(839\) | −4.51723 | − | 16.8585i | −0.155952 | − | 0.582021i | −0.999022 | − | 0.0442169i | \(-0.985921\pi\) |
0.843070 | − | 0.537804i | \(-0.180746\pi\) | |||||||
\(840\) | −2.38537 | + | 3.09903i | −0.0823029 | + | 0.106927i | ||||
\(841\) | −23.4667 | + | 40.6455i | −0.809196 | + | 1.40157i | ||||
\(842\) | −17.6384 | − | 10.1835i | −0.607859 | − | 0.350947i | ||||
\(843\) | −2.04772 | + | 2.04772i | −0.0705271 | + | 0.0705271i | ||||
\(844\) | −14.6058 | − | 8.43264i | −0.502751 | − | 0.290263i | ||||
\(845\) | 17.9278 | + | 6.91614i | 0.616736 | + | 0.237922i | ||||
\(846\) | − | 12.4894i | − | 0.429395i | ||||||
\(847\) | 56.3590 | − | 23.2457i | 1.93652 | − | 0.798731i | ||||
\(848\) | 4.44772 | + | 7.70367i | 0.152735 | + | 0.264545i | ||||
\(849\) | − | 0.899767i | − | 0.0308799i | ||||||
\(850\) | −18.8817 | + | 5.05934i | −0.647637 | + | 0.173534i | ||||
\(851\) | −4.35936 | − | 1.16809i | −0.149437 | − | 0.0400415i | ||||
\(852\) | 3.72203 | − | 3.72203i | 0.127515 | − | 0.127515i | ||||
\(853\) | 29.2570 | − | 29.2570i | 1.00174 | − | 1.00174i | 0.00174344 | − | 0.999998i | \(-0.499445\pi\) |
0.999998 | − | 0.00174344i | \(-0.000554955\pi\) | |||||||
\(854\) | −9.07749 | − | 11.8668i | −0.310625 | − | 0.406074i | ||||
\(855\) | 6.82024 | − | 3.93766i | 0.233247 | − | 0.134665i | ||||
\(856\) | 2.56863 | − | 0.688262i | 0.0877939 | − | 0.0235243i | ||||
\(857\) | 17.5657 | − | 30.4247i | 0.600032 | − | 1.03929i | −0.392783 | − | 0.919631i | \(-0.628488\pi\) |
0.992815 | − | 0.119656i | \(-0.0381790\pi\) | |||||||
\(858\) | 20.5809 | − | 4.35668i | 0.702619 | − | 0.148735i | ||||
\(859\) | −16.7019 | + | 9.64284i | −0.569861 | + | 0.329009i | −0.757094 | − | 0.653306i | \(-0.773381\pi\) |
0.187233 | + | 0.982316i | \(0.440048\pi\) | |||||||
\(860\) | 0.0631280 | − | 0.235597i | 0.00215265 | − | 0.00803379i | ||||
\(861\) | 2.24423 | + | 17.2465i | 0.0764833 | + | 0.587760i | ||||
\(862\) | −1.61134 | − | 0.930307i | −0.0548824 | − | 0.0316864i | ||||
\(863\) | −10.6461 | − | 2.85260i | −0.362396 | − | 0.0971038i | 0.0730262 | − | 0.997330i | \(-0.476734\pi\) |
−0.435422 | + | 0.900226i | \(0.643401\pi\) | |||||||
\(864\) | −0.258819 | + | 0.965926i | −0.00880520 | + | 0.0328615i | ||||
\(865\) | −3.53225 | + | 13.1826i | −0.120100 | + | 0.448220i | ||||
\(866\) | 32.1800 | + | 8.62261i | 1.09352 | + | 0.293008i | ||||
\(867\) | 27.0339 | + | 15.6081i | 0.918121 | + | 0.530077i | ||||
\(868\) | −0.958869 | − | 0.398863i | −0.0325461 | − | 0.0135383i | ||||
\(869\) | 11.9737 | − | 44.6866i | 0.406181 | − | 1.51589i | ||||
\(870\) | 11.1547 | − | 6.44017i | 0.378180 | − | 0.218342i | ||||
\(871\) | −0.916878 | + | 17.2206i | −0.0310672 | + | 0.583498i | ||||
\(872\) | −7.49520 | + | 12.9821i | −0.253819 | + | 0.439628i | ||||
\(873\) | 0.852159 | − | 0.228335i | 0.0288412 | − | 0.00772798i | ||||
\(874\) | −3.55079 | + | 2.05005i | −0.120107 | + | 0.0693439i | ||||
\(875\) | 28.2190 | + | 11.7383i | 0.953978 | + | 0.396828i | ||||
\(876\) | 6.55097 | − | 6.55097i | 0.221337 | − | 0.221337i | ||||
\(877\) | −26.9855 | + | 26.9855i | −0.911236 | + | 0.911236i | −0.996370 | − | 0.0851336i | \(-0.972868\pi\) |
0.0851336 | + | 0.996370i | \(0.472868\pi\) | |||||||
\(878\) | 23.5039 | + | 6.29784i | 0.793217 | + | 0.212542i | ||||
\(879\) | −30.2510 | + | 8.10572i | −1.02034 | + | 0.273399i | ||||
\(880\) | 8.62426i | 0.290724i | ||||||||
\(881\) | −6.45418 | − | 11.1790i | −0.217447 | − | 0.376629i | 0.736580 | − | 0.676351i | \(-0.236440\pi\) |
−0.954027 | + | 0.299721i | \(0.903106\pi\) | |||||||
\(882\) | 6.05165 | + | 3.51817i | 0.203770 | + | 0.118463i | ||||
\(883\) | 28.8060i | 0.969399i | 0.874681 | + | 0.484700i | \(0.161071\pi\) | ||||
−0.874681 | + | 0.484700i | \(0.838929\pi\) | |||||||
\(884\) | −24.4934 | + | 5.18491i | −0.823802 | + | 0.174387i | ||||
\(885\) | 1.11681 | + | 0.644793i | 0.0375413 | + | 0.0216745i | ||||
\(886\) | −22.0234 | + | 22.0234i | −0.739890 | + | 0.739890i | ||||
\(887\) | −1.11304 | − | 0.642613i | −0.0373722 | − | 0.0215768i | 0.481197 | − | 0.876612i | \(-0.340202\pi\) |
−0.518570 | + | 0.855035i | \(0.673535\pi\) | |||||||
\(888\) | 2.93233 | − | 5.07894i | 0.0984025 | − | 0.170438i | ||||
\(889\) | 21.8262 | + | 16.7999i | 0.732027 | + | 0.563451i | ||||
\(890\) | 3.41141 | + | 12.7316i | 0.114351 | + | 0.426763i | ||||
\(891\) | 4.12568 | + | 4.12568i | 0.138216 | + | 0.138216i | ||||
\(892\) | −0.0655089 | − | 0.244483i | −0.00219340 | − | 0.00818589i | ||||
\(893\) | 33.2713 | + | 57.6276i | 1.11338 | + | 1.92843i | ||||
\(894\) | 5.22348 | − | 9.04733i | 0.174699 | − | 0.302588i | ||||
\(895\) | 14.9083 | + | 3.99467i | 0.498330 | + | 0.133527i | ||||
\(896\) | 1.60748 | + | 2.10143i | 0.0537022 | + | 0.0702038i | ||||
\(897\) | −0.574621 | − | 2.71449i | −0.0191860 | − | 0.0906343i | ||||
\(898\) | −5.74605 | − | 9.95245i | −0.191748 | − | 0.332118i | ||||
\(899\) | 2.41862 | + | 2.41862i | 0.0806653 | + | 0.0806653i | ||||
\(900\) | 2.81515 | 0.0938383 | ||||||||
\(901\) | −61.7680 | −2.05779 | ||||||||
\(902\) | 27.1203 | + | 27.1203i | 0.903007 | + | 0.903007i | ||||
\(903\) | −0.432759 | − | 0.0576343i | −0.0144013 | − | 0.00191795i | ||||
\(904\) | −9.57798 | + | 2.56641i | −0.318559 | + | 0.0853576i | ||||
\(905\) | −0.463435 | + | 1.72956i | −0.0154051 | + | 0.0574926i | ||||
\(906\) | 3.88859 | − | 2.24508i | 0.129190 | − | 0.0745877i | ||||
\(907\) | 40.3811i | 1.34083i | 0.741986 | + | 0.670415i | \(0.233884\pi\) | ||||
−0.741986 | + | 0.670415i | \(0.766116\pi\) | |||||||
\(908\) | −0.432323 | − | 1.61345i | −0.0143471 | − | 0.0535442i | ||||
\(909\) | 11.9682 | 0.396959 | ||||||||
\(910\) | 12.7126 | + | 6.10006i | 0.421419 | + | 0.202215i | ||||
\(911\) | 15.9440 | 0.528249 | 0.264124 | − | 0.964489i | \(-0.414917\pi\) | ||||
0.264124 | + | 0.964489i | \(0.414917\pi\) | |||||||
\(912\) | −1.37897 | − | 5.14638i | −0.0456622 | − | 0.170414i | ||||
\(913\) | 76.6690i | 2.53737i | ||||||||
\(914\) | 33.0564 | − | 19.0851i | 1.09341 | − | 0.631280i | ||||
\(915\) | 2.16036 | − | 8.06259i | 0.0714195 | − | 0.266541i | ||||
\(916\) | −25.9161 | + | 6.94421i | −0.856294 | + | 0.229443i | ||||
\(917\) | 8.26752 | + | 6.36362i | 0.273018 | + | 0.210145i | ||||
\(918\) | −4.91000 | − | 4.91000i | −0.162054 | − | 0.162054i | ||||
\(919\) | 46.8890 | 1.54672 | 0.773362 | − | 0.633964i | \(-0.218573\pi\) | ||||
0.773362 | + | 0.633964i | \(0.218573\pi\) | |||||||
\(920\) | 1.13749 | 0.0375019 | ||||||||
\(921\) | 6.31072 | + | 6.31072i | 0.207945 | + | 0.207945i | ||||
\(922\) | 3.27171 | + | 5.66676i | 0.107748 | + | 0.186625i | ||||
\(923\) | −15.9083 | − | 10.3498i | −0.523627 | − | 0.340668i | ||||
\(924\) | 15.3078 | − | 1.99196i | 0.503591 | − | 0.0655306i | ||||
\(925\) | −15.9473 | − | 4.27307i | −0.524344 | − | 0.140498i | ||||
\(926\) | 7.47525 | − | 12.9475i | 0.245652 | − | 0.425482i | ||||
\(927\) | −6.40446 | − | 11.0928i | −0.210350 | − | 0.364337i | ||||
\(928\) | −2.25534 | − | 8.41705i | −0.0740353 | − | 0.276303i | ||||
\(929\) | 18.1178 | + | 18.1178i | 0.594426 | + | 0.594426i | 0.938824 | − | 0.344398i | \(-0.111917\pi\) |
−0.344398 | + | 0.938824i | \(0.611917\pi\) | |||||||
\(930\) | −0.150166 | − | 0.560429i | −0.00492415 | − | 0.0183772i | ||||
\(931\) | −37.2953 | − | 0.111889i | −1.22230 | − | 0.00366701i | ||||
\(932\) | 8.39675 | − | 14.5436i | 0.275045 | − | 0.476391i | ||||
\(933\) | −1.48276 | − | 0.856069i | −0.0485432 | − | 0.0280264i | ||||
\(934\) | 1.07922 | − | 1.07922i | 0.0353132 | − | 0.0353132i | ||||
\(935\) | −51.8619 | − | 29.9425i | −1.69607 | − | 0.979224i | ||||
\(936\) | 3.60045 | + | 0.191699i | 0.117684 | + | 0.00626588i | ||||
\(937\) | − | 9.10555i | − | 0.297465i | −0.988877 | − | 0.148733i | \(-0.952481\pi\) | ||
0.988877 | − | 0.148733i | \(-0.0475194\pi\) | |||||||
\(938\) | −1.67054 | + | 12.5436i | −0.0545452 | + | 0.409564i | ||||
\(939\) | 6.33634 | + | 10.9749i | 0.206779 | + | 0.358151i | ||||
\(940\) | − | 18.4609i | − | 0.602128i | ||||||
\(941\) | −9.85714 | + | 2.64121i | −0.321333 | + | 0.0861010i | −0.415880 | − | 0.909419i | \(-0.636526\pi\) |
0.0945468 | + | 0.995520i | \(0.469860\pi\) | |||||||
\(942\) | 14.2122 | + | 3.80814i | 0.463058 | + | 0.124076i | ||||
\(943\) | 3.57701 | − | 3.57701i | 0.116483 | − | 0.116483i | ||||
\(944\) | 0.616913 | − | 0.616913i | 0.0200788 | − | 0.0200788i | ||||
\(945\) | 0.504639 | + | 3.87805i | 0.0164159 | + | 0.126153i | ||||
\(946\) | −0.833789 | + | 0.481388i | −0.0271088 | + | 0.0156513i | ||||
\(947\) | 1.13320 | − | 0.303640i | 0.0368240 | − | 0.00986696i | −0.240360 | − | 0.970684i | \(-0.577265\pi\) |
0.277184 | + | 0.960817i | \(0.410599\pi\) | |||||||
\(948\) | 3.96454 | − | 6.86679i | 0.128762 | − | 0.223023i | ||||
\(949\) | −27.9994 | − | 18.2162i | −0.908898 | − | 0.591322i | ||||
\(950\) | −12.9894 | + | 7.49944i | −0.421432 | + | 0.243314i | ||||
\(951\) | 3.56867 | − | 13.3185i | 0.115722 | − | 0.431881i | ||||
\(952\) | −18.2179 | + | 2.37064i | −0.590446 | + | 0.0768329i | ||||
\(953\) | −33.2954 | − | 19.2231i | −1.07855 | − | 0.622698i | −0.148042 | − | 0.988981i | \(-0.547297\pi\) |
−0.930504 | + | 0.366283i | \(0.880630\pi\) | |||||||
\(954\) | 8.59233 | + | 2.30231i | 0.278187 | + | 0.0745400i | ||||
\(955\) | 9.51979 | − | 35.5283i | 0.308053 | − | 1.14967i | ||||
\(956\) | 0.609791 | − | 2.27577i | 0.0197220 | − | 0.0736037i | ||||
\(957\) | −49.1101 | − | 13.1590i | −1.58750 | − | 0.425370i | ||||
\(958\) | 3.03129 | + | 1.75011i | 0.0979364 | + | 0.0565436i | ||||
\(959\) | 7.49549 | − | 0.975363i | 0.242042 | − | 0.0314961i | ||||
\(960\) | −0.382567 | + | 1.42776i | −0.0123473 | + | 0.0460807i | ||||
\(961\) | −26.7134 | + | 15.4230i | −0.861721 | + | 0.497515i | ||||
\(962\) | −20.1049 | − | 6.55101i | −0.648209 | − | 0.211213i | ||||
\(963\) | 1.32962 | − | 2.30297i | 0.0428464 | − | 0.0742121i | ||||
\(964\) | −14.3501 | + | 3.84511i | −0.462187 | + | 0.123843i | ||||
\(965\) | 23.7361 | − | 13.7040i | 0.764092 | − | 0.441148i | ||||
\(966\) | −0.262728 | − | 2.01901i | −0.00845312 | − | 0.0649607i | ||||
\(967\) | 16.9249 | − | 16.9249i | 0.544268 | − | 0.544268i | −0.380509 | − | 0.924777i | \(-0.624251\pi\) |
0.924777 | + | 0.380509i | \(0.124251\pi\) | |||||||
\(968\) | 16.2935 | − | 16.2935i | 0.523693 | − | 0.523693i | ||||
\(969\) | 35.7353 | + | 9.57525i | 1.14798 | + | 0.307601i | ||||
\(970\) | 1.25960 | − | 0.337508i | 0.0404432 | − | 0.0108367i | ||||
\(971\) | 23.3288i | 0.748655i | 0.927296 | + | 0.374328i | \(0.122126\pi\) | ||||
−0.927296 | + | 0.374328i | \(0.877874\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | −3.33811 | + | 25.0649i | −0.107015 | + | 0.803543i | ||||
\(974\) | − | 4.37167i | − | 0.140077i | ||||||
\(975\) | −2.10207 | − | 9.93011i | −0.0673200 | − | 0.318018i | ||||
\(976\) | −4.89047 | − | 2.82351i | −0.156540 | − | 0.0903785i | ||||
\(977\) | −23.5713 | + | 23.5713i | −0.754113 | + | 0.754113i | −0.975244 | − | 0.221131i | \(-0.929025\pi\) |
0.221131 | + | 0.975244i | \(0.429025\pi\) | |||||||
\(978\) | −19.9058 | − | 11.4926i | −0.636516 | − | 0.367493i | ||||
\(979\) | 26.0140 | − | 45.0576i | 0.831412 | − | 1.44005i | ||||
\(980\) | 8.94509 | + | 5.20030i | 0.285741 | + | 0.166117i | ||||
\(981\) | 3.87980 | + | 14.4796i | 0.123872 | + | 0.462298i | ||||
\(982\) | 0.272068 | + | 0.272068i | 0.00868203 | + | 0.00868203i | ||||
\(983\) | 8.00802 | + | 29.8863i | 0.255416 | + | 0.953226i | 0.967858 | + | 0.251495i | \(0.0809223\pi\) |
−0.712442 | + | 0.701731i | \(0.752411\pi\) | |||||||
\(984\) | 3.28676 | + | 5.69284i | 0.104778 | + | 0.181481i | ||||
\(985\) | −0.718613 | + | 1.24467i | −0.0228969 | + | 0.0396586i | ||||
\(986\) | 58.4462 | + | 15.6606i | 1.86131 | + | 0.498735i | ||||
\(987\) | −32.7676 | + | 4.26394i | −1.04300 | + | 0.135723i | ||||
\(988\) | −17.1236 | + | 8.70694i | −0.544773 | + | 0.277005i | ||||
\(989\) | 0.0634923 | + | 0.109972i | 0.00201894 | + | 0.00349690i | ||||
\(990\) | 6.09827 | + | 6.09827i | 0.193816 | + | 0.193816i | ||||
\(991\) | −46.4827 | −1.47657 | −0.738285 | − | 0.674488i | \(-0.764364\pi\) | ||||
−0.738285 | + | 0.674488i | \(0.764364\pi\) | |||||||
\(992\) | −0.392523 | −0.0124626 | ||||||||
\(993\) | −18.1988 | − | 18.1988i | −0.577522 | − | 0.577522i | ||||
\(994\) | −11.0360 | − | 8.49453i | −0.350040 | − | 0.269430i | ||||
\(995\) | 1.67285 | − | 0.448238i | 0.0530329 | − | 0.0142101i | ||||
\(996\) | −3.40099 | + | 12.6927i | −0.107764 | + | 0.402182i | ||||
\(997\) | −50.9890 | + | 29.4385i | −1.61484 | + | 0.932327i | −0.626610 | + | 0.779333i | \(0.715558\pi\) |
−0.988227 | + | 0.152994i | \(0.951109\pi\) | |||||||
\(998\) | 8.48941i | 0.268728i | ||||||||
\(999\) | −1.51788 | − | 5.66482i | −0.0480237 | − | 0.179227i |
(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 | 546.2.by.b.535.7 | yes | 40 | |
7.5 | odd | 6 | 546.2.cg.b.145.7 | yes | 40 | ||
13.7 | odd | 12 | 546.2.cg.b.241.7 | yes | 40 | ||
91.33 | even | 12 | inner | 546.2.by.b.397.7 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.397.7 | ✓ | 40 | 91.33 | even | 12 | inner | |
546.2.by.b.535.7 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.cg.b.145.7 | yes | 40 | 7.5 | odd | 6 | ||
546.2.cg.b.241.7 | yes | 40 | 13.7 | odd | 12 |