Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [644,2,Mod(9,644)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(644, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 22, 30]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("644.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 644 = 2^{2} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 644.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.14236589017\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 261.5 | ||
Character | \(\chi\) | \(=\) | 644.261 |
Dual form | 644.2.y.a.417.5 |
$q$-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 \(\left(\mathbb{Z}/644\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) | \(323\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{11}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.894055 | + | 1.25553i | −0.516183 | + | 0.724878i | −0.987593 | − | 0.157037i | \(-0.949806\pi\) |
0.471410 | + | 0.881914i | \(0.343745\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.41143 | − | 0.464765i | 1.07842 | − | 0.207849i | 0.381049 | − | 0.924555i | \(-0.375563\pi\) |
0.697376 | + | 0.716706i | \(0.254351\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.317452 | − | 2.62664i | −0.119986 | − | 0.992776i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.204196 | + | 0.589984i | 0.0680652 | + | 0.196661i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.00574 | − | 3.15015i | 1.20778 | − | 0.949806i | 0.208177 | − | 0.978091i | \(-0.433247\pi\) |
0.999600 | + | 0.0282850i | \(0.00900460\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.69200 | + | 1.08738i | −0.469277 | + | 0.301586i | −0.753824 | − | 0.657076i | \(-0.771793\pi\) |
0.284547 | + | 0.958662i | \(0.408157\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.57243 | + | 3.44314i | −0.405999 | + | 0.889014i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.47796 | − | 3.31622i | −0.843528 | − | 0.804302i | 0.139024 | − | 0.990289i | \(-0.455603\pi\) |
−0.982552 | + | 0.185987i | \(0.940452\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.45269 | − | 5.19913i | 1.25093 | − | 1.19276i | 0.278279 | − | 0.960500i | \(-0.410236\pi\) |
0.972653 | − | 0.232261i | \(-0.0746125\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.58163 | + | 1.94979i | 0.781576 | + | 0.425479i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.72085 | + | 0.844736i | −0.984365 | + | 0.176140i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.957153 | − | 0.383186i | 0.191431 | − | 0.0766372i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.35997 | − | 1.57383i | −1.03153 | − | 0.302884i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 8.44051 | − | 2.47836i | 1.56736 | − | 0.460220i | 0.621131 | − | 0.783707i | \(-0.286673\pi\) |
0.946233 | + | 0.323487i | \(0.104855\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.28176 | − | 0.599835i | 1.12824 | − | 0.107734i | 0.485798 | − | 0.874071i | \(-0.338529\pi\) |
0.642438 | + | 0.766337i | \(0.277923\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.373738 | + | 7.84572i | 0.0650594 | + | 1.36576i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.98628 | − | 6.18641i | −0.335743 | − | 1.04569i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.15944 | + | 6.23928i | 0.355009 | + | 1.02573i | 0.971227 | + | 0.238156i | \(0.0765429\pi\) |
−0.616218 | + | 0.787576i | \(0.711336\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.147506 | − | 3.09653i | 0.0236199 | − | 0.495842i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.09946 | + | 7.03915i | 0.952575 | + | 1.09933i | 0.994964 | + | 0.100229i | \(0.0319576\pi\) |
−0.0423893 | + | 0.999101i | \(0.513497\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.06105 | + | 4.51308i | 0.314308 | + | 0.688238i | 0.999183 | − | 0.0404227i | \(-0.0128705\pi\) |
−0.684875 | + | 0.728661i | \(0.740143\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.766608 | + | 1.32780i | 0.114279 | + | 0.197937i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.29816 | − | 3.98053i | 0.335221 | − | 0.580620i | −0.648306 | − | 0.761380i | \(-0.724522\pi\) |
0.983527 | + | 0.180760i | \(0.0578556\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.79845 | + | 1.66766i | −0.971207 | + | 0.238237i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.27309 | − | 1.40177i | 1.01844 | − | 0.196287i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.179162 | + | 3.76108i | −0.0246098 | + | 0.516624i | 0.952584 | + | 0.304275i | \(0.0984142\pi\) |
−0.977194 | + | 0.212349i | \(0.931889\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.19549 | − | 9.45810i | 1.10508 | − | 1.27533i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.65263 | + | 11.4943i | 0.218896 | + | 1.52246i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −7.29960 | − | 3.76321i | −0.950328 | − | 0.489928i | −0.0879117 | − | 0.996128i | \(-0.528019\pi\) |
−0.862416 | + | 0.506200i | \(0.831050\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.74233 | + | 5.25536i | 0.479156 | + | 0.672880i | 0.981428 | − | 0.191829i | \(-0.0614419\pi\) |
−0.502272 | + | 0.864709i | \(0.667503\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.48485 | − | 0.723639i | 0.187074 | − | 0.0911700i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.57477 | + | 3.40854i | −0.443396 | + | 0.422777i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.57334 | + | 0.629871i | −0.192214 | + | 0.0769510i | −0.465773 | − | 0.884904i | \(-0.654224\pi\) |
0.273558 | + | 0.961855i | \(0.411799\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.16011 | − | 6.68239i | 0.380433 | − | 0.804465i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.475642 | + | 3.30816i | −0.0564483 | + | 0.392607i | 0.941936 | + | 0.335791i | \(0.109004\pi\) |
−0.998385 | + | 0.0568153i | \(0.981905\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.08134 | − | 8.57938i | −0.243602 | − | 1.00414i | −0.953872 | − | 0.300212i | \(-0.902943\pi\) |
0.710270 | − | 0.703929i | \(-0.248573\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.374648 | + | 1.54432i | −0.0432606 | + | 0.178323i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −9.54593 | − | 9.52161i | −1.08786 | − | 1.08509i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.123677 | + | 2.59629i | 0.0139147 | + | 0.292106i | 0.995089 | + | 0.0989823i | \(0.0315587\pi\) |
−0.981174 | + | 0.193123i | \(0.938138\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.29584 | − | 4.16470i | 0.588427 | − | 0.462744i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.62872 | − | 5.34183i | 0.508068 | − | 0.586342i | −0.442535 | − | 0.896751i | \(-0.645921\pi\) |
0.950603 | + | 0.310410i | \(0.100466\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.92811 | − | 6.38041i | −1.07686 | − | 0.692053i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −4.43465 | + | 12.8131i | −0.475444 | + | 1.37370i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.31763 | + | 0.412284i | 0.457668 | + | 0.0437020i | 0.321345 | − | 0.946962i | \(-0.395865\pi\) |
0.136324 | + | 0.990664i | \(0.456471\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.39329 | + | 4.09909i | 0.355714 | + | 0.429701i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.86313 | + | 8.42319i | −0.504283 | + | 0.873444i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 10.7324 | − | 15.0716i | 1.10112 | − | 1.54631i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.82762 | + | 3.26324i | 0.287101 | + | 0.331332i | 0.880919 | − | 0.473267i | \(-0.156926\pi\) |
−0.593818 | + | 0.804599i | \(0.702380\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.67649 | + | 1.72008i | 0.268998 | + | 0.172874i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.6478 | − | 2.05219i | −1.05949 | − | 0.204201i | −0.370400 | − | 0.928872i | \(-0.620779\pi\) |
−0.689094 | + | 0.724672i | \(0.741991\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −13.0862 | − | 5.23891i | −1.28942 | − | 0.516205i | −0.377284 | − | 0.926097i | \(-0.623142\pi\) |
−0.912134 | + | 0.409892i | \(0.865566\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 9.54305 | + | 3.03717i | 0.931306 | + | 0.296397i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.42262 | + | 6.21070i | 0.427551 | + | 0.600411i | 0.971014 | − | 0.239022i | \(-0.0768267\pi\) |
−0.543463 | + | 0.839433i | \(0.682887\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.7504 | − | 11.2040i | −1.12548 | − | 1.07315i | −0.996675 | − | 0.0814774i | \(-0.974036\pi\) |
−0.128809 | − | 0.991669i | \(-0.541115\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −9.76423 | − | 2.86704i | −0.926780 | − | 0.272127i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.79501 | + | 12.4846i | −0.168861 | + | 1.17445i | 0.712384 | + | 0.701790i | \(0.247616\pi\) |
−0.881244 | + | 0.472661i | \(0.843293\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.9914 | + | 4.23111i | −1.02495 | + | 0.394553i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.987039 | − | 0.776216i | −0.0912518 | − | 0.0717612i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −7.60643 | + | 10.1881i | −0.697281 | + | 0.933939i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.52918 | − | 14.5475i | 0.320834 | − | 1.32250i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −14.2911 | + | 1.36463i | −1.28858 | + | 0.123045i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.19978 | + | 5.26968i | −0.733411 | + | 0.471334i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.62264 | − | 18.2409i | −0.232722 | − | 1.61862i | −0.686245 | − | 0.727371i | \(-0.740742\pi\) |
0.453523 | − | 0.891244i | \(-0.350167\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −7.50898 | − | 1.44724i | −0.661129 | − | 0.127422i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −17.6215 | + | 9.08450i | −1.53959 | + | 0.793716i | −0.998872 | − | 0.0474844i | \(-0.984880\pi\) |
−0.540723 | + | 0.841201i | \(0.681849\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −15.3872 | − | 12.6718i | −1.33424 | − | 1.09878i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −13.6567 | − | 1.30405i | −1.17538 | − | 0.112235i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.53922 | + | 14.7904i | 0.729555 | + | 1.26363i | 0.957072 | + | 0.289851i | \(0.0936059\pi\) |
−0.227517 | + | 0.973774i | \(0.573061\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −19.1702 | −1.62600 | −0.812998 | − | 0.582267i | \(-0.802166\pi\) | ||||
−0.812998 | + | 0.582267i | \(0.802166\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.94297 | + | 6.44422i | 0.247843 | + | 0.542701i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.35230 | + | 9.68585i | −0.280334 | + | 0.809971i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 19.2019 | − | 9.89925i | 1.59463 | − | 0.822088i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.98440 | − | 10.0266i | 0.328628 | − | 0.826980i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −9.17011 | − | 3.67116i | −0.751245 | − | 0.300753i | −0.0357403 | − | 0.999361i | \(-0.511379\pi\) |
−0.715505 | + | 0.698608i | \(0.753803\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.16386 | + | 2.66216i | 0.420229 | + | 0.216643i | 0.655354 | − | 0.755322i | \(-0.272520\pi\) |
−0.235125 | + | 0.971965i | \(0.575550\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.24634 | − | 2.72910i | 0.100760 | − | 0.220634i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 14.8692 | − | 4.36600i | 1.19433 | − | 0.350686i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.31565 | − | 5.42318i | −0.105000 | − | 0.432817i | 0.894910 | − | 0.446248i | \(-0.147240\pi\) |
−0.999910 | + | 0.0134305i | \(0.995725\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −4.56195 | − | 3.58755i | −0.361786 | − | 0.284512i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.71746 | + | 12.1318i | 0.292977 | + | 0.956120i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 18.7606 | + | 14.7535i | 1.46944 | + | 1.15558i | 0.954444 | + | 0.298389i | \(0.0964493\pi\) |
0.514997 | + | 0.857192i | \(0.327793\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 4.54766 | + | 18.7457i | 0.354035 | + | 1.45935i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 20.1189 | − | 5.90743i | 1.55684 | − | 0.457130i | 0.613706 | − | 0.789534i | \(-0.289678\pi\) |
0.943137 | + | 0.332404i | \(0.107860\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.71993 | + | 8.14550i | −0.286148 | + | 0.626577i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.18082 | + | 2.15536i | 0.319715 | + | 0.164825i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 9.55311 | + | 3.82449i | 0.726309 | + | 0.290770i | 0.705202 | − | 0.709007i | \(-0.250857\pi\) |
0.0211076 | + | 0.999777i | \(0.493281\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.31034 | − | 2.39245i | −0.0990525 | − | 0.180852i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 11.2511 | − | 5.80032i | 0.845681 | − | 0.435979i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −7.44517 | + | 21.5114i | −0.556478 | + | 1.60784i | 0.218492 | + | 0.975839i | \(0.429886\pi\) |
−0.774970 | + | 0.631998i | \(0.782235\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.84825 | − | 8.42649i | −0.286038 | − | 0.626336i | 0.711005 | − | 0.703187i | \(-0.248240\pi\) |
−0.997043 | + | 0.0768516i | \(0.975513\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.94409 | −0.735088 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 8.10713 | + | 14.0420i | 0.596048 | + | 1.03239i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −24.3784 | − | 2.32785i | −1.78272 | − | 0.170230i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.43235 | + | 14.5783i | −0.176927 | + | 1.06042i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.57584 | − | 4.93669i | 0.692883 | − | 0.357206i | −0.0755446 | − | 0.997142i | \(-0.524070\pi\) |
0.768428 | + | 0.639936i | \(0.221039\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.419213 | − | 0.0807967i | −0.0301756 | − | 0.00581588i | 0.174141 | − | 0.984721i | \(-0.444285\pi\) |
−0.204317 | + | 0.978905i | \(0.565497\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.08346 | − | 7.53563i | −0.0775882 | − | 0.539638i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.70419 | − | 3.02320i | 0.335160 | − | 0.215394i | −0.362226 | − | 0.932090i | \(-0.617983\pi\) |
0.697385 | + | 0.716696i | \(0.254347\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.5995 | + | 1.58506i | −1.17671 | + | 0.112362i | −0.665030 | − | 0.746816i | \(-0.731581\pi\) |
−0.511676 | + | 0.859178i | \(0.670975\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.615836 | − | 2.53851i | 0.0434377 | − | 0.179053i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −9.18921 | − | 21.3834i | −0.644956 | − | 1.50082i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 17.9800 | + | 14.1396i | 1.25578 | + | 0.987553i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.46236 | − | 2.61274i | −0.101641 | − | 0.181598i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 5.46403 | − | 38.0032i | 0.377955 | − | 2.62873i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.99562 | + | 1.46685i | 0.343912 | + | 0.100982i | 0.449127 | − | 0.893468i | \(-0.351735\pi\) |
−0.105215 | + | 0.994449i | \(0.533553\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.72823 | − | 3.55486i | −0.255454 | − | 0.243575i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.06761 | + | 9.92507i | 0.482007 | + | 0.676884i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.56970 | − | 16.3095i | −0.242327 | − | 1.10716i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 12.6325 | + | 5.05728i | 0.853623 | + | 0.341739i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 9.49072 | + | 1.82919i | 0.638415 | + | 0.123044i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.9614 | − | 8.32976i | −0.867957 | − | 0.557802i | 0.0291703 | − | 0.999574i | \(-0.490713\pi\) |
−0.897127 | + | 0.441772i | \(0.854350\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.421520 | + | 0.486460i | 0.0281013 | + | 0.0324307i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −8.25785 | + | 11.5965i | −0.548093 | + | 0.769689i | −0.991980 | − | 0.126394i | \(-0.959660\pi\) |
0.443887 | + | 0.896083i | \(0.353599\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.03841 | − | 5.26268i | 0.200784 | − | 0.347767i | −0.747998 | − | 0.663701i | \(-0.768985\pi\) |
0.948781 | + | 0.315934i | \(0.102318\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 20.4892 | − | 3.47231i | 1.34809 | − | 0.228461i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.8806 | + | 1.03897i | 0.712813 | + | 0.0680654i | 0.445161 | − | 0.895450i | \(-0.353146\pi\) |
0.267652 | + | 0.963516i | \(0.413752\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.69184 | − | 10.6669i | 0.240829 | − | 0.695831i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.37028 | − | 2.16595i | −0.218923 | − | 0.140694i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.22957 | + | 8.34337i | −0.467642 | + | 0.539688i | −0.939754 | − | 0.341851i | \(-0.888946\pi\) |
0.472112 | + | 0.881538i | \(0.343492\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.03597 | + | 5.53315i | −0.453227 | + | 0.356422i | −0.818527 | − | 0.574468i | \(-0.805209\pi\) |
0.365300 | + | 0.930890i | \(0.380966\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.303309 | − | 6.36724i | −0.0194573 | − | 0.408459i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −15.6189 | + | 7.18113i | −0.997856 | + | 0.458786i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.57252 | + | 14.7261i | −0.227314 | + | 0.937000i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.56847 | + | 10.5874i | 0.162770 | + | 0.670947i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.375220 | − | 2.60971i | 0.0236837 | − | 0.164724i | −0.974547 | − | 0.224183i | \(-0.928029\pi\) |
0.998231 | + | 0.0594595i | \(0.0189377\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −16.2495 | + | 18.2552i | −1.02160 | + | 1.14769i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 16.8871 | − | 6.76056i | 1.05751 | − | 0.423362i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −6.30578 | + | 6.01255i | −0.393344 | + | 0.375052i | −0.860782 | − | 0.508973i | \(-0.830025\pi\) |
0.467439 | + | 0.884025i | \(0.345177\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.7028 | − | 7.65273i | 0.975726 | − | 0.475518i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.18571 | + | 4.47370i | 0.197190 | + | 0.276915i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 20.1943 | + | 10.4109i | 1.24524 | + | 0.641963i | 0.949638 | − | 0.313349i | \(-0.101451\pi\) |
0.295597 | + | 0.955313i | \(0.404481\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.31598 | + | 9.15285i | 0.0808401 | + | 0.562255i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.37784 | + | 5.05229i | −0.267919 | + | 0.309195i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0.396202 | − | 8.31730i | 0.0241568 | − | 0.507115i | −0.954071 | − | 0.299581i | \(-0.903153\pi\) |
0.978228 | − | 0.207534i | \(-0.0665438\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.76909 | + | 1.69010i | −0.532684 | + | 0.102667i | −0.448499 | − | 0.893784i | \(-0.648041\pi\) |
−0.0841859 | + | 0.996450i | \(0.526829\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −8.18030 | + | 0.595556i | −0.495094 | + | 0.0360447i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.62701 | − | 4.55012i | 0.158415 | − | 0.274383i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.9769 | − | 20.7446i | −0.719623 | − | 1.24642i | −0.961149 | − | 0.276029i | \(-0.910981\pi\) |
0.241526 | − | 0.970394i | \(-0.422352\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.63660 | + | 3.58365i | 0.0979807 | + | 0.214548i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.65211 | − | 1.90663i | −0.0985564 | − | 0.113740i | 0.704329 | − | 0.709874i | \(-0.251248\pi\) |
−0.802885 | + | 0.596134i | \(0.796703\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.0459290 | − | 0.964169i | 0.00273020 | − | 0.0573139i | −0.997091 | − | 0.0762193i | \(-0.975715\pi\) |
0.999821 | + | 0.0189054i | \(0.00601813\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 9.32735 | + | 26.9496i | 0.552505 | + | 1.59636i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 16.5530 | − | 18.2557i | 0.977093 | − | 1.07760i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.289941 | + | 6.08661i | 0.0170553 | + | 0.358036i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.62513 | + | 0.632623i | −0.388372 | + | 0.0370850i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 7.86340 | − | 2.30890i | 0.459385 | − | 0.134888i | −0.0438483 | − | 0.999038i | \(-0.513962\pi\) |
0.503233 | + | 0.864151i | \(0.332144\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −19.3515 | − | 5.68211i | −1.12669 | − | 0.330825i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −26.4285 | + | 10.5804i | −1.53353 | + | 0.613935i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 7.06914 | − | 6.56267i | 0.408819 | − | 0.379529i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.1999 | − | 6.84633i | 0.645553 | − | 0.394616i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 12.0963 | − | 11.5338i | 0.694913 | − | 0.662599i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 11.4669 | + | 10.9336i | 0.656591 | + | 0.626059i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.98237 | + | 10.9099i | −0.284359 | + | 0.622659i | −0.996875 | − | 0.0789966i | \(-0.974828\pi\) |
0.712516 | + | 0.701656i | \(0.247556\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 18.2773 | − | 11.7461i | 1.03976 | − | 0.668214i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0.220555 | − | 0.173446i | 0.0125065 | − | 0.00983522i | −0.611886 | − | 0.790946i | \(-0.709589\pi\) |
0.624393 | + | 0.781111i | \(0.285347\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.77578 | + | 13.7987i | 0.269943 | + | 0.779949i | 0.995754 | + | 0.0920550i | \(0.0293436\pi\) |
−0.725811 | + | 0.687894i | \(0.758535\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.24430 | − | 2.43511i | 0.182795 | − | 0.137203i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.44424 | − | 1.04929i | 0.305779 | − | 0.0589340i | −0.0340537 | − | 0.999420i | \(-0.510842\pi\) |
0.339833 | + | 0.940486i | \(0.389630\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 26.0033 | − | 36.5166i | 1.45591 | − | 2.04453i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.7518 | −0.655919 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −36.2057 | −2.01454 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.20284 | + | 1.68915i | −0.0667213 | + | 0.0936969i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 24.5724 | − | 4.73594i | 1.35886 | − | 0.261898i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −11.1850 | − | 4.77281i | −0.616647 | − | 0.263133i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.69175 | − | 16.4452i | −0.312847 | − | 0.903911i | −0.986341 | − | 0.164718i | \(-0.947328\pi\) |
0.673494 | − | 0.739193i | \(-0.264793\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.24013 | + | 2.54807i | −0.177558 | + | 0.139633i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.50126 | + | 2.25012i | −0.191294 | + | 0.122937i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.06484 | − | 17.6595i | 0.439320 | − | 0.961977i | −0.552403 | − | 0.833577i | \(-0.686289\pi\) |
0.991723 | − | 0.128399i | \(-0.0409839\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −14.0699 | − | 13.4156i | −0.764171 | − | 0.728635i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 23.2735 | − | 22.1913i | 1.26033 | − | 1.20172i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.53852 | + | 17.3277i | 0.353047 | + | 0.935606i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.51466 | − | 17.5828i | 0.243061 | − | 0.946627i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −29.0885 | + | 11.6453i | −1.56155 | + | 0.625151i | −0.981847 | − | 0.189677i | \(-0.939256\pi\) |
−0.579704 | + | 0.814827i | \(0.696832\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 33.0031 | + | 9.69059i | 1.76662 | + | 0.518725i | 0.993327 | − | 0.115329i | \(-0.0367922\pi\) |
0.773289 | + | 0.634054i | \(0.218610\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10.7804 | − | 3.16542i | 0.575417 | − | 0.168958i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −0.246465 | + | 0.0235345i | −0.0131180 | + | 0.00125262i | −0.101613 | − | 0.994824i | \(-0.532400\pi\) |
0.0884950 | + | 0.996077i | \(0.471794\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.390541 | + | 8.19847i | 0.0207278 | + | 0.435129i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −5.99080 | − | 18.6588i | −0.317067 | − | 0.987527i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10.1775 | + | 29.4059i | 0.537147 | + | 1.55198i | 0.807890 | + | 0.589333i | \(0.200609\pi\) |
−0.270743 | + | 0.962652i | \(0.587270\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.79682 | − | 37.7200i | 0.0945696 | − | 1.98526i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 15.1094 | + | 17.4372i | 0.793039 | + | 0.915216i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.00640 | − | 19.7213i | −0.471416 | − | 1.03226i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.17442 | − | 14.1585i | −0.426701 | − | 0.739068i | 0.569877 | − | 0.821730i | \(-0.306991\pi\) |
−0.996578 | + | 0.0826624i | \(0.973658\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2.90750 | + | 5.03595i | −0.151359 | + | 0.262161i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 9.93586 | − | 0.723367i | 0.515844 | − | 0.0375554i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.06815 | − | 1.55501i | 0.417753 | − | 0.0805153i | 0.0239567 | − | 0.999713i | \(-0.492374\pi\) |
0.393796 | + | 0.919198i | \(0.371162\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.714844 | − | 15.0064i | 0.0369144 | − | 0.774928i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −11.5864 | + | 13.3715i | −0.596732 | + | 0.688666i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.97707 | + | 27.6611i | 0.204288 | + | 1.42086i | 0.791375 | + | 0.611331i | \(0.209366\pi\) |
−0.587087 | + | 0.809524i | \(0.699725\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 25.2467 | + | 13.0156i | 1.29343 | + | 0.666807i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 6.12251 | + | 8.59787i | 0.312846 | + | 0.439331i | 0.940822 | − | 0.338902i | \(-0.110056\pi\) |
−0.627976 | + | 0.778233i | \(0.716116\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −27.4447 | − | 18.5241i | −1.39871 | − | 0.944075i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.24179 | + | 2.13754i | −0.113956 | + | 0.108657i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −11.2793 | + | 4.51554i | −0.571882 | + | 0.228947i | −0.639535 | − | 0.768762i | \(-0.720873\pi\) |
0.0676529 | + | 0.997709i | \(0.478449\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.2202 | + | 12.7174i | 0.972009 | + | 0.643149i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.34875 | − | 30.2462i | 0.219366 | − | 1.52572i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.50490 | + | 6.20330i | 0.0757199 | + | 0.312122i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.32045 | + | 17.8091i | −0.216837 | + | 0.893815i | 0.754536 | + | 0.656258i | \(0.227862\pi\) |
−0.971374 | + | 0.237557i | \(0.923653\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 29.6667 | − | 7.98975i | 1.48519 | − | 0.399988i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0.717690 | + | 15.0662i | 0.0358397 | + | 0.752368i | 0.943242 | + | 0.332106i | \(0.107759\pi\) |
−0.907403 | + | 0.420263i | \(0.861938\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.97650 | + | 7.84561i | −0.496965 | + | 0.390818i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 10.8350 | − | 12.5042i | 0.538393 | − | 0.621339i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 28.3048 | + | 18.1904i | 1.40302 | + | 0.901665i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.95266 | + | 11.4205i | −0.195446 | + | 0.564705i | −0.999557 | − | 0.0297749i | \(-0.990521\pi\) |
0.804110 | + | 0.594480i | \(0.202642\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −26.2042 | − | 2.50220i | −1.29256 | − | 0.123424i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −7.56731 | + | 20.3681i | −0.372363 | + | 1.00225i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.67914 | − | 15.0327i | 0.426042 | − | 0.737927i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 17.1392 | − | 24.0687i | 0.839311 | − | 1.17865i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 8.35283 | + | 9.63968i | 0.408062 | + | 0.470929i | 0.922163 | − | 0.386801i | \(-0.126420\pi\) |
−0.514101 | + | 0.857730i | \(0.671874\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.80300 | − | 1.80138i | −0.136610 | − | 0.0877939i | 0.470551 | − | 0.882373i | \(-0.344055\pi\) |
−0.607161 | + | 0.794579i | \(0.707692\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.81773 | + | 0.543072i | 0.137003 | + | 0.0264051i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.59967 | − | 1.84143i | −0.223117 | − | 0.0893224i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.6159 | − | 11.4981i | 0.610527 | − | 0.556430i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −9.16368 | − | 12.8686i | −0.442427 | − | 0.621301i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −2.14586 | − | 2.04608i | −0.103363 | − | 0.0985560i | 0.636636 | − | 0.771164i | \(-0.280325\pi\) |
−0.739999 | + | 0.672608i | \(0.765174\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.27703 | + | 1.84310i | 0.301655 | + | 0.0885739i | 0.429057 | − | 0.903277i | \(-0.358846\pi\) |
−0.127402 | + | 0.991851i | \(0.540664\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.73877 | + | 32.9589i | −0.227207 | + | 1.58026i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −21.3494 | + | 29.1504i | −1.02128 | + | 1.39445i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −22.7033 | − | 17.8541i | −1.08357 | − | 0.852130i | −0.0939136 | − | 0.995580i | \(-0.529938\pi\) |
−0.989657 | + | 0.143451i | \(0.954180\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.37211 | − | 3.67045i | −0.112958 | − | 0.174783i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.43810 | + | 5.92793i | −0.0683263 | + | 0.281645i | −0.995717 | − | 0.0924482i | \(-0.970531\pi\) |
0.927391 | + | 0.374093i | \(0.122046\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.6033 | − | 1.01249i | 0.502644 | − | 0.0479967i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 12.8078 | − | 8.23109i | 0.605789 | − | 0.389317i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −0.513132 | − | 3.56891i | −0.0242162 | − | 0.168428i | 0.974124 | − | 0.226013i | \(-0.0725690\pi\) |
−0.998341 | + | 0.0575851i | \(0.981660\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 46.6072 | + | 8.98281i | 2.19465 | + | 0.422984i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −7.95918 | + | 4.10324i | −0.373955 | + | 0.192787i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 10.0878 | + | 8.30758i | 0.472924 | + | 0.389465i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.86438 | + | 0.941934i | 0.461436 | + | 0.0440618i | 0.323186 | − | 0.946335i | \(-0.395246\pi\) |
0.138250 | + | 0.990397i | \(0.455852\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 13.4226 | + | 23.2486i | 0.626512 | + | 1.08515i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 11.5625 | 0.538521 | 0.269260 | − | 0.963067i | \(-0.413221\pi\) | ||||
0.269260 | + | 0.963067i | \(0.413221\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.04910 | − | 11.0560i | −0.234652 | − | 0.513816i | 0.755273 | − | 0.655410i | \(-0.227504\pi\) |
−0.989925 | + | 0.141595i | \(0.954777\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −7.81230 | + | 22.5722i | −0.362287 | + | 1.04676i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −5.44645 | + | 2.80784i | −0.252032 | + | 0.129931i | −0.579614 | − | 0.814891i | \(-0.696797\pi\) |
0.327582 | + | 0.944823i | \(0.393766\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.15390 | + | 3.93264i | 0.0994580 | + | 0.181593i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.98521 | + | 3.19679i | 0.367939 | + | 0.147301i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 22.4729 | + | 11.5856i | 1.03331 | + | 0.532706i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.22682 | − | 7.06576i | 0.148057 | − | 0.324199i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.25556 | + | 0.662292i | −0.103275 | + | 0.0303243i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 0.279563 | + | 1.15238i | 0.0127736 | + | 0.0526534i | 0.977842 | − | 0.209346i | \(-0.0671334\pi\) |
−0.965068 | + | 0.261999i | \(0.915618\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −10.4383 | − | 8.20875i | −0.475944 | − | 0.374287i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −18.5554 | − | 6.17914i | −0.844299 | − | 0.281161i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 8.33524 | + | 6.55491i | 0.378484 | + | 0.297643i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.38963 | − | 18.0943i | −0.198913 | − | 0.819931i | −0.980561 | − | 0.196212i | \(-0.937136\pi\) |
0.781648 | − | 0.623719i | \(-0.214379\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −35.2963 | + | 10.3639i | −1.59616 | + | 0.468674i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.32160 | + | 5.08359i | −0.104772 | + | 0.229419i | −0.954756 | − | 0.297389i | \(-0.903884\pi\) |
0.849984 | + | 0.526808i | \(0.176611\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −37.5745 | − | 19.3710i | −1.69227 | − | 0.872426i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 7.25361 | + | 2.90391i | 0.326026 | + | 0.130521i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 8.84034 | + | 0.199156i | 0.396543 | + | 0.00893338i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.0182 | + | 6.71136i | −0.582776 | + | 0.300442i | −0.724291 | − | 0.689494i | \(-0.757833\pi\) |
0.141515 | + | 0.989936i | \(0.454803\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −10.5704 | + | 30.5413i | −0.472253 | + | 1.36448i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.26630 | + | 4.96251i | 0.101049 | + | 0.221267i | 0.953404 | − | 0.301697i | \(-0.0975532\pi\) |
−0.852354 | + | 0.522965i | \(0.824826\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −26.6302 | −1.18503 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −6.90106 | − | 11.9530i | −0.306487 | − | 0.530851i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 22.5649 | + | 2.15469i | 1.00017 | + | 0.0955048i | 0.582277 | − | 0.812991i | \(-0.302162\pi\) |
0.417895 | + | 0.908496i | \(0.362768\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −21.8742 | + | 8.19046i | −0.967658 | + | 0.362325i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −37.4088 | + | 19.2856i | −1.65164 | + | 0.851479i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −33.9912 | − | 6.55128i | −1.49783 | − | 0.288684i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.33343 | − | 23.1845i | −0.146604 | − | 1.01965i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −13.3427 | + | 8.57486i | −0.585681 | + | 0.376395i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 16.0536 | − | 1.53293i | 0.703319 | − | 0.0671588i | 0.262732 | − | 0.964869i | \(-0.415376\pi\) |
0.440587 | + | 0.897710i | \(0.354770\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.34533 | + | 5.54552i | −0.0588271 | + | 0.242488i | −0.993632 | − | 0.112673i | \(-0.964059\pi\) |
0.934805 | + | 0.355161i | \(0.115574\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.17530 | + | 0.493817i | 0.182225 | + | 0.0215519i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −23.8369 | − | 18.7455i | −1.03835 | − | 0.816567i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.5728 | − | 7.97574i | 0.937950 | − | 0.346771i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.729687 | − | 5.07508i | 0.0316657 | − | 0.220240i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −17.9746 | − | 5.27781i | −0.778565 | − | 0.228607i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.5514 | + | 12.9212i | 0.585876 | + | 0.558632i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −20.3517 | − | 28.5800i | −0.878241 | − | 1.23332i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −21.9794 | + | 28.0964i | −0.946722 | + | 1.21020i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −40.7150 | − | 16.2998i | −1.75047 | − | 0.700784i | −0.999166 | − | 0.0408309i | \(-0.987000\pi\) |
−0.751307 | − | 0.659953i | \(-0.770576\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 14.0202 | + | 2.70217i | 0.601665 | + | 0.115961i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −33.5425 | − | 21.5565i | −1.43680 | − | 0.923377i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 27.2662 | + | 31.4668i | 1.16582 | + | 1.34543i | 0.927314 | + | 0.374283i | \(0.122111\pi\) |
0.238503 | + | 0.971142i | \(0.423343\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.33642 | + | 3.28104i | −0.0997158 | + | 0.140031i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 33.1382 | − | 57.3970i | 1.41173 | − | 2.44519i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.78026 | − | 1.14905i | 0.288326 | − | 0.0488627i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −24.8783 | − | 2.37559i | −1.05602 | − | 0.100838i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −10.3558 | + | 29.9210i | −0.438787 | + | 1.26779i | 0.481464 | + | 0.876466i | \(0.340105\pi\) |
−0.920252 | + | 0.391327i | \(0.872016\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.39476 | − | 5.39498i | −0.355060 | − | 0.228184i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 24.7183 | − | 28.5265i | 1.04361 | − | 1.20439i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.32893 | + | 2.61790i | −0.140298 | + | 0.110331i | −0.685841 | − | 0.727751i | \(-0.740566\pi\) |
0.545544 | + | 0.838082i | \(0.316323\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.47385 | + | 30.9400i | 0.0620055 | + | 1.30166i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −12.6203 | − | 12.5882i | −0.530004 | − | 0.528653i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.95456 | − | 12.1789i | 0.123862 | − | 0.510564i | −0.875752 | − | 0.482762i | \(-0.839634\pi\) |
0.999613 | − | 0.0278028i | \(-0.00885105\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.84044 | − | 24.0746i | −0.244415 | − | 1.00749i | −0.953266 | − | 0.302133i | \(-0.902301\pi\) |
0.708851 | − | 0.705358i | \(-0.249214\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.36319 | + | 16.4364i | −0.0987239 | + | 0.686640i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.19488 | + | 2.61751i | −0.174939 | + | 0.109158i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 35.8384 | − | 14.3475i | 1.49197 | − | 0.597296i | 0.524757 | − | 0.851252i | \(-0.324156\pi\) |
0.967216 | + | 0.253956i | \(0.0817320\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.476242 | − | 0.454096i | 0.0197920 | − | 0.0188716i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15.5004 | − | 10.4622i | −0.643066 | − | 0.434045i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.1303 | + | 15.6303i | 0.460969 | + | 0.647341i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.74094 | − | 1.41305i | −0.113324 | − | 0.0584224i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −0.0372629 | − | 0.259169i | −0.00153801 | − | 0.0106971i | 0.989038 | − | 0.147661i | \(-0.0471746\pi\) |
−0.990576 | + | 0.136964i | \(0.956265\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 31.1338 | − | 35.9304i | 1.28285 | − | 1.48048i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.410104 | + | 8.60914i | −0.0168694 | + | 0.354133i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −6.50378 | + | 1.25350i | −0.267078 | + | 0.0514751i | −0.321032 | − | 0.947068i | \(-0.604030\pi\) |
0.0539538 | + | 0.998543i | \(0.482818\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −13.6073 | + | 28.1030i | −0.557846 | + | 1.15211i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 12.8508 | − | 22.2582i | 0.525947 | − | 0.910968i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −4.26111 | − | 7.38047i | −0.174104 | − | 0.301558i | 0.765747 | − | 0.643142i | \(-0.222370\pi\) |
−0.939851 | + | 0.341585i | \(0.889036\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.3069 | + | 29.1380i | 0.542798 | + | 1.18856i | 0.960065 | + | 0.279778i | \(0.0902609\pi\) |
−0.417267 | + | 0.908784i | \(0.637012\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.692883 | − | 0.799630i | −0.0282164 | − | 0.0325634i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.74921 | − | 36.7204i | 0.0711155 | − | 1.49290i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.9478 | + | 34.5209i | 0.484947 | + | 1.40116i | 0.876676 | + | 0.481081i | \(0.159756\pi\) |
−0.391730 | + | 0.920080i | \(0.628123\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 35.0631 | + | 7.58067i | 1.42083 | + | 0.307184i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.439872 | + | 9.23406i | 0.0177953 | + | 0.373570i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −38.5845 | + | 3.68437i | −1.55841 | + | 0.148810i | −0.838363 | − | 0.545113i | \(-0.816487\pi\) |
−0.720049 | + | 0.693923i | \(0.755881\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −33.8277 | + | 9.93271i | −1.36407 | + | 0.400526i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.22581 | + | 2.41531i | 0.331158 | + | 0.0972369i | 0.443085 | − | 0.896480i | \(-0.353884\pi\) |
−0.111927 | + | 0.993716i | \(0.535702\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.4990 | + | 5.80454i | −0.582766 | + | 0.233304i | −0.644264 | − | 0.764803i | \(-0.722836\pi\) |
0.0614986 | + | 0.998107i | \(0.480412\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 26.6331 | + | 2.90205i | 1.06875 | + | 0.116455i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.287721 | − | 11.4717i | −0.0115273 | − | 0.459606i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.0549 | + | 20.0758i | −0.842196 | + | 0.803033i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 42.8288 | + | 40.8372i | 1.71042 | + | 1.63088i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 13.1804 | − | 28.8611i | 0.525538 | − | 1.15077i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.8613 | − | 6.98014i | 0.432382 | − | 0.277875i | −0.306292 | − | 0.951937i | \(-0.599089\pi\) |
0.738674 | + | 0.674063i | \(0.235452\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.30802 | + | 4.96068i | −0.250721 | + | 0.197169i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −14.8020 | − | 42.7677i | −0.587401 | − | 1.69718i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.68961 | − | 10.2142i | 0.383916 | − | 0.404702i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.04889 | + | 0.394891i | −0.0810527 | + | 0.0156216i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −27.1353 | + | 38.1062i | −1.07178 | + | 1.50510i | −0.224121 | + | 0.974561i | \(0.571951\pi\) |
−0.847659 | + | 0.530542i | \(0.821988\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −35.0877 | −1.38373 | −0.691863 | − | 0.722029i | \(-0.743210\pi\) | ||||
−0.691863 | + | 0.722029i | \(0.743210\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −18.7800 | −0.739462 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 11.6844 | − | 16.4084i | 0.459361 | − | 0.645082i | −0.518318 | − | 0.855188i | \(-0.673442\pi\) |
0.977679 | + | 0.210106i | \(0.0673810\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −41.0950 | + | 7.92041i | −1.61312 | + | 0.310903i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 23.6685 | + | 10.0997i | 0.927641 | + | 0.395839i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −9.48063 | − | 27.3925i | −0.371006 | − | 1.07195i | −0.963807 | − | 0.266602i | \(-0.914099\pi\) |
0.592801 | − | 0.805349i | \(-0.298022\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −38.2708 | + | 30.0965i | −1.49536 | + | 1.17597i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.63670 | − | 2.97983i | 0.180895 | − | 0.116254i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −7.09379 | + | 15.5332i | −0.276335 | + | 0.605089i | −0.996012 | − | 0.0892201i | \(-0.971563\pi\) |
0.719677 | + | 0.694309i | \(0.244290\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.950272 | − | 0.906082i | −0.0369613 | − | 0.0352425i | 0.671373 | − | 0.741119i | \(-0.265705\pi\) |
−0.708335 | + | 0.705877i | \(0.750553\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −10.7818 | + | 10.2804i | −0.418731 | + | 0.399259i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −42.9945 | − | 23.4056i | −1.66726 | − | 0.907632i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −37.7528 | + | 18.8300i | −1.46180 | + | 0.729099i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 22.0464 | − | 8.82605i | 0.852363 | − | 0.341235i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 31.5460 | + | 9.26274i | 1.21782 | + | 0.357584i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.37755 | − | 2.16625i | 0.284384 | − | 0.0835026i | −0.136430 | − | 0.990650i | \(-0.543563\pi\) |
0.420814 | + | 0.907147i | \(0.361745\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.73338 | + | 0.547471i | −0.220678 | + | 0.0210722i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.220098 | − | 4.62042i | −0.00845905 | − | 0.177577i | −0.999143 | − | 0.0413951i | \(-0.986820\pi\) |
0.990684 | − | 0.136182i | \(-0.0434833\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.67372 | − | 8.46304i | 0.294490 | − | 0.324782i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −7.17676 | − | 20.7359i | −0.275014 | − | 0.794601i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.98106 | − | 41.5875i | 0.0758031 | − | 1.59130i | −0.565982 | − | 0.824418i | \(-0.691503\pi\) |
0.641785 | − | 0.766885i | \(-0.278194\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 27.4658 | + | 31.6972i | 1.04941 | + | 1.21109i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.89092 | + | 8.51992i | 0.148448 | + | 0.325055i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −3.78659 | − | 6.55857i | −0.144258 | − | 0.249862i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.3935 | − | 19.7341i | 0.433429 | − | 0.750721i | −0.563737 | − | 0.825954i | \(-0.690637\pi\) |
0.997166 | + | 0.0752335i | \(0.0239702\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 3.66836 | − | 7.57622i | 0.139350 | − | 0.287797i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −46.2276 | + | 8.90964i | −1.75351 | + | 0.337962i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.12975 | − | 44.7090i | 0.0806701 | − | 1.69347i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −11.0323 | + | 12.7320i | −0.417281 | + | 0.481568i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.360585 | + | 2.50792i | 0.0136191 | + | 0.0947229i | 0.995497 | − | 0.0947904i | \(-0.0302181\pi\) |
−0.981878 | + | 0.189513i | \(0.939309\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 44.2136 | + | 22.7937i | 1.66755 | + | 0.859680i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 10.0918 | + | 14.1720i | 0.380080 | + | 0.533748i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.01020 | + | 28.6193i | −0.0756015 | + | 1.07634i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.789515 | + | 0.752801i | −0.0296509 | + | 0.0282720i | −0.704760 | − | 0.709446i | \(-0.748945\pi\) |
0.675109 | + | 0.737718i | \(0.264097\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.50652 | + | 0.603119i | −0.0564988 | + | 0.0226187i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −29.1485 | + | 8.13815i | −1.09162 | + | 0.304776i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.58221 | + | 24.9148i | −0.133967 | + | 0.931760i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −4.01167 | − | 16.5363i | −0.149819 | − | 0.617561i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.78693 | + | 15.6100i | −0.141229 | + | 0.582153i | 0.856581 | + | 0.516012i | \(0.172584\pi\) |
−0.997810 | + | 0.0661413i | \(0.978931\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.60649 | + | 36.0357i | −0.357764 | + | 1.34204i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.656460 | − | 13.7808i | −0.0244140 | − | 0.512513i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 7.12919 | − | 5.60646i | 0.264771 | − | 0.208219i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.90224 | − | 5.65749i | 0.181814 | − | 0.209825i | −0.657525 | − | 0.753432i | \(-0.728397\pi\) |
0.839339 | + | 0.543608i | \(0.182942\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.2686 | + | 16.2392i | 0.935875 | + | 0.601451i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.79812 | − | 22.5312i | 0.288424 | − | 0.833346i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.950183 | + | 0.0907315i | 0.0350958 | + | 0.00335125i | 0.112589 | − | 0.993642i | \(-0.464086\pi\) |
−0.0774934 | + | 0.996993i | \(0.524692\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 4.94808 | − | 26.0303i | 0.182513 | − | 0.960141i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.31821 | + | 7.47936i | −0.159063 | + | 0.275506i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −26.0221 | + | 36.5429i | −0.957238 | + | 1.34425i | −0.0184227 | + | 0.999830i | \(0.505864\pi\) |
−0.938815 | + | 0.344422i | \(0.888075\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −15.2950 | − | 17.6513i | −0.561875 | − | 0.648438i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −8.18358 | − | 5.25926i | −0.300226 | − | 0.192944i | 0.381851 | − | 0.924224i | \(-0.375287\pi\) |
−0.682077 | + | 0.731280i | \(0.738923\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −23.8193 | − | 4.59080i | −0.872672 | − | 0.168194i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.09676 | + | 1.64009i | 0.149893 | + | 0.0600079i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 14.9093 | − | 13.5882i | 0.544774 | − | 0.496503i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.03207 | + | 1.44934i | 0.0376607 | + | 0.0528870i | 0.832977 | − | 0.553308i | \(-0.186635\pi\) |
−0.795316 | + | 0.606195i | \(0.792695\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.94109 | + | 2.80433i | 0.107179 | + | 0.102195i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 13.6896 | + | 4.01962i | 0.498215 | + | 0.146289i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.99655 | − | 34.7518i | 0.181603 | − | 1.26307i | −0.671371 | − | 0.741121i | \(-0.734294\pi\) |
0.852974 | − | 0.521953i | \(-0.174796\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −8.39192 | − | 36.7228i | −0.304607 | − | 1.33295i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.6116 | − | 10.7042i | −0.493419 | − | 0.388029i | 0.340214 | − | 0.940348i | \(-0.389500\pi\) |
−0.833633 | + | 0.552319i | \(0.813743\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −25.6986 | + | 34.4208i | −0.930352 | + | 1.24612i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.73707 | − | 7.16028i | 0.0628038 | − | 0.258881i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 16.4430 | − | 1.57012i | 0.593723 | − | 0.0566936i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.2854 | − | 11.7513i | 0.659387 | − | 0.423762i | −0.167698 | − | 0.985838i | \(-0.553633\pi\) |
0.827086 | + | 0.562076i | \(0.189997\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.91119 | − | 13.2926i | −0.0688298 | − | 0.478722i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −3.14297 | − | 0.605757i | −0.113045 | − | 0.0217876i | 0.132415 | − | 0.991194i | \(-0.457727\pi\) |
−0.245460 | + | 0.969407i | \(0.578939\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.78275 | − | 2.98122i | 0.207723 | − | 0.107088i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.43099 | + | 26.5572i | −0.158961 | + | 0.952736i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 69.8559 | + | 6.67043i | 2.50285 | + | 0.238993i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.51591 | + | 14.7500i | 0.304723 | + | 0.527796i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −49.1414 | −1.75617 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.69311 | − | 12.4662i | −0.203196 | − | 0.444936i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.2617 | − | 29.6493i | 0.365791 | − | 1.05688i | −0.600544 | − | 0.799592i | \(-0.705049\pi\) |
0.966334 | − | 0.257290i | \(-0.0828297\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −31.1260 | + | 16.0466i | −1.10811 | + | 0.571273i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 33.3623 | + | 0.751591i | 1.18623 | + | 0.0267235i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.0466 | − | 4.82274i | −0.427788 | − | 0.171261i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −12.6682 | − | 6.53091i | −0.449294 | − | 0.231627i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −0.382765 | + | 0.838138i | −0.0135582 | + | 0.0296884i | −0.916290 | − | 0.400516i | \(-0.868831\pi\) |
0.902732 | + | 0.430204i | \(0.141558\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −21.1932 | + | 6.22290i | −0.749763 | + | 0.220150i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.638401 | + | 2.63152i | 0.0225568 | + | 0.0929803i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −35.3637 | − | 27.8103i | −1.24796 | − | 0.981404i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 14.6028 | + | 27.5272i | 0.514682 | + | 0.970208i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 10.0884 | + | 7.93357i | 0.355127 | + | 0.279275i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 6.56193 | + | 27.0486i | 0.230705 | + | 0.950980i | 0.962894 | + | 0.269878i | \(0.0869835\pi\) |
−0.732189 | + | 0.681101i | \(0.761501\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.22324 | − | 1.53368i | 0.183413 | − | 0.0538548i | −0.188736 | − | 0.982028i | \(-0.560439\pi\) |
0.372149 | + | 0.928173i | \(0.378621\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.71809 | − | 12.5209i | 0.200542 | − | 0.439126i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 52.0967 | + | 26.8577i | 1.82487 | + | 0.940785i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 34.7023 | + | 13.8927i | 1.21408 | + | 0.486045i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.72550 | + | 2.83901i | −0.0602939 | + | 0.0992029i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −23.1524 | + | 11.9359i | −0.808026 | + | 0.416566i | −0.812167 | − | 0.583425i | \(-0.801712\pi\) |
0.00414128 | + | 0.999991i | \(0.498682\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.10590 | − | 11.8632i | 0.143123 | − | 0.413526i | −0.850543 | − | 0.525906i | \(-0.823726\pi\) |
0.993665 | + | 0.112380i | \(0.0358475\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 3.36410 | + | 7.36634i | 0.117123 | + | 0.256463i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 29.3079 | 1.01913 | 0.509567 | − | 0.860431i | \(-0.329806\pi\) | ||||
0.509567 | + | 0.860431i | \(0.329806\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.23875 | + | 3.87763i | 0.0777551 | + | 0.134676i | 0.902281 | − | 0.431148i | \(-0.141891\pi\) |
−0.824526 | + | 0.565824i | \(0.808558\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 36.7534 | + | 3.50953i | 1.27496 | + | 0.121744i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 29.1750 | + | 16.7451i | 1.01086 | + | 0.580184i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 45.7697 | − | 23.5959i | 1.58392 | − | 0.816570i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −34.6141 | − | 6.67131i | −1.19644 | − | 0.230594i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −0.638100 | − | 4.43808i | −0.0220296 | − | 0.153220i | 0.975837 | − | 0.218498i | \(-0.0701156\pi\) |
−0.997867 | + | 0.0652781i | \(0.979207\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 40.7036 | − | 26.1586i | 1.40357 | − | 0.902022i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 3.87090 | − | 0.369626i | 0.133321 | − | 0.0127306i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −5.18460 | + | 21.3712i | −0.178356 | + | 0.735192i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −39.3312 | − | 4.65174i | −1.35144 | − | 0.159836i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.16948 | + | 0.919686i | 0.0401363 | + | 0.0315635i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −15.4649 | − | 27.6306i | −0.530131 | − | 0.947164i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.13564 | + | 21.8089i | −0.107362 | + | 0.746722i | 0.863024 | + | 0.505163i | \(0.168568\pi\) |
−0.970386 | + | 0.241558i | \(0.922341\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 11.0835 | + | 3.25441i | 0.379047 | + | 0.111298i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −2.42612 | − | 2.31330i | −0.0828748 | − | 0.0790210i | 0.647510 | − | 0.762057i | \(-0.275811\pi\) |
−0.730384 | + | 0.683036i | \(0.760659\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.6755 | − | 16.3960i | −0.398363 | − | 0.559423i | 0.565864 | − | 0.824498i | \(-0.308543\pi\) |
−0.964228 | + | 0.265075i | \(0.914603\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 8.12113 | + | 37.1043i | 0.276767 | + | 1.26451i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −12.3099 | − | 4.92815i | −0.419035 | − | 0.167756i | 0.152556 | − | 0.988295i | \(-0.451249\pi\) |
−0.571591 | + | 0.820538i | \(0.693674\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 24.8141 | + | 4.78253i | 0.843706 | + | 0.162611i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −7.90111 | − | 5.07774i | −0.268336 | − | 0.172449i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 8.67413 | + | 10.0105i | 0.294250 | + | 0.339582i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.97719 | − | 2.77657i | 0.0669944 | − | 0.0940805i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −1.34788 | + | 2.33459i | −0.0456187 | + | 0.0790138i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 16.4446 | + | 19.8650i | 0.555928 | + | 0.671559i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 28.8959 | + | 2.75923i | 0.975747 | + | 0.0931725i | 0.570731 | − | 0.821137i | \(-0.306660\pi\) |
0.405016 | + | 0.914310i | \(0.367266\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −4.13143 | + | 11.9370i | −0.139350 | + | 0.402625i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −17.8871 | − | 11.4954i | −0.602633 | − | 0.387289i | 0.203455 | − | 0.979084i | \(-0.434783\pi\) |
−0.806088 | + | 0.591796i | \(0.798419\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.75082 | + | 2.02055i | −0.0589196 | + | 0.0679969i | −0.784444 | − | 0.620199i | \(-0.787052\pi\) |
0.725525 | + | 0.688196i | \(0.241597\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 24.4354 | − | 19.2162i | 0.821385 | − | 0.645945i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 0.741227 | + | 15.5603i | 0.0248880 | + | 0.522462i | 0.976547 | + | 0.215305i | \(0.0690747\pi\) |
−0.951659 | + | 0.307157i | \(0.900622\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −47.0796 | + | 12.6793i | −1.57900 | + | 0.425251i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 8.09436 | − | 33.3654i | 0.271171 | − | 1.11778i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −8.16414 | − | 33.6530i | −0.273202 | − | 1.12616i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.95576 | + | 55.3335i | −0.265932 | + | 1.84959i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.91940 | + | 14.7429i | 0.0640869 | + | 0.492250i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 51.5346 | − | 20.6314i | 1.71878 | − | 0.688094i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 13.0957 | − | 12.4867i | 0.436281 | − | 0.415993i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.41763 | + | 20.1828i | −0.0471757 | + | 0.671641i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −13.1961 | − | 18.5314i | −0.438654 | − | 0.616003i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 24.3748 | + | 12.5661i | 0.809351 | + | 0.417249i | 0.812655 | − | 0.582745i | \(-0.198021\pi\) |
−0.00330414 | + | 0.999995i | \(0.501052\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.963469 | − | 6.70107i | −0.0319562 | − | 0.222261i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 35.1573 | − | 40.5737i | 1.16481 | − | 1.34427i | 0.236872 | − | 0.971541i | \(-0.423878\pi\) |
0.927942 | − | 0.372726i | \(-0.121577\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.71390 | − | 35.9791i | 0.0567217 | − | 1.19074i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −23.9795 | + | 4.62167i | −0.792737 | + | 0.152788i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 29.4557 | + | 43.4013i | 0.972711 | + | 1.43324i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.0266 | − | 19.0987i | 0.363735 | − | 0.630007i | −0.624837 | − | 0.780755i | \(-0.714835\pi\) |
0.988572 | + | 0.150748i | \(0.0481680\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −9.24311 | − | 16.0095i | −0.304571 | − | 0.527532i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2.79246 | − | 6.11463i | −0.0919148 | − | 0.201265i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.45772 | + | 5.14448i | 0.146569 | + | 0.169150i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.418738 | − | 8.79039i | 0.0137532 | − | 0.288714i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −0.584150 | − | 1.68779i | −0.0191653 | − | 0.0553746i | 0.935012 | − | 0.354615i | \(-0.115388\pi\) |
−0.954178 | + | 0.299240i | \(0.903267\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −28.3994 | + | 44.4392i | −0.930754 | + | 1.45644i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.0205779 | + | 0.431982i | 0.000673689 | + | 0.0141425i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −59.8687 | + | 5.71677i | −1.95792 | + | 0.186958i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 50.1670 | − | 14.7303i | 1.63888 | − | 0.481220i | 0.672880 | − | 0.739751i | \(-0.265057\pi\) |
0.966003 | + | 0.258532i | \(0.0832386\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −21.5944 | − | 6.34070i | −0.704708 | − | 0.206921i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17.6897 | − | 7.08189i | 0.576668 | − | 0.230863i | −0.0649484 | − | 0.997889i | \(-0.520688\pi\) |
0.641617 | + | 0.767025i | \(0.278264\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −34.7408 | − | 28.0783i | −1.13132 | − | 0.914356i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.910059 | + | 36.2851i | 0.0296042 | + | 1.18035i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 11.6109 | − | 11.0709i | 0.377302 | − | 0.359757i | −0.477572 | − | 0.878593i | \(-0.658483\pi\) |
0.854874 | + | 0.518836i | \(0.173634\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 12.8507 | + | 12.2531i | 0.417152 | + | 0.397754i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.55004 | + | 7.77350i | −0.115118 | + | 0.252073i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −40.1447 | + | 25.7995i | −1.30042 | + | 0.835726i | −0.993257 | − | 0.115932i | \(-0.963014\pi\) |
−0.307158 | + | 0.951658i | \(0.599378\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 20.7971 | − | 16.3550i | 0.672978 | − | 0.529235i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 22.5990 | + | 65.2956i | 0.730523 | + | 2.11071i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 36.1381 | − | 27.1247i | 1.16696 | − | 0.875901i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.66087 | − | 1.66925i | 0.279383 | − | 0.0538467i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.76114 | + | 3.87747i | −0.0889764 | + | 0.124950i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.04846 | −0.0337510 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 36.6448 | 1.17842 | 0.589208 | − | 0.807981i | \(-0.299440\pi\) | ||||
0.589208 | + | 0.807981i | \(0.299440\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 32.3699 | − | 45.4571i | 1.03987 | − | 1.46029i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 37.5318 | − | 7.23366i | 1.20445 | − | 0.232139i | 0.452747 | − | 0.891639i | \(-0.350444\pi\) |
0.751705 | + | 0.659500i | \(0.229232\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.08562 | + | 50.3532i | 0.195096 | + | 1.61425i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.04536 | − | 3.02038i | −0.0334784 | − | 0.0967296i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 11.4170 | − | 8.97839i | 0.365261 | − | 0.287244i | −0.418613 | − | 0.908165i | \(-0.637483\pi\) |
0.783873 | + | 0.620921i | \(0.213241\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 18.5941 | − | 11.9497i | 0.594270 | − | 0.381914i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.21079 | − | 9.22035i | 0.134440 | − | 0.294383i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −8.00540 | − | 7.63313i | −0.255333 | − | 0.243459i | 0.551591 | − | 0.834114i | \(-0.314021\pi\) |
−0.806924 | + | 0.590655i | \(0.798869\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 9.93876 | − | 9.47658i | 0.316675 | − | 0.301949i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 15.9924 | − | 9.77586i | 0.509043 | − | 0.311169i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −13.5423 | − | 19.5645i | −0.430619 | − | 0.622115i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −10.1470 | + | 4.06226i | −0.322332 | + | 0.129042i | −0.527185 | − | 0.849751i | \(-0.676752\pi\) |
0.204853 | + | 0.978793i | \(0.434328\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 25.7361 | + | 7.55681i | 0.816711 | + | 0.239808i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −39.2918 | + | 11.5371i | −1.24564 | + | 0.365751i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 32.1810 | − | 3.07291i | 1.01918 | − | 0.0973201i | 0.427934 | − | 0.903810i | \(-0.359242\pi\) |
0.591248 | + | 0.806490i | \(0.298635\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.75495 | − | 36.8410i | −0.0555242 | − | 1.16560i |
(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 | 644.2.y.a.261.5 | yes | 320 | |
7.4 | even | 3 | inner | 644.2.y.a.445.12 | yes | 320 | |
23.3 | even | 11 | inner | 644.2.y.a.233.12 | ✓ | 320 | |
161.95 | even | 33 | inner | 644.2.y.a.417.5 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
644.2.y.a.233.12 | ✓ | 320 | 23.3 | even | 11 | inner | |
644.2.y.a.261.5 | yes | 320 | 1.1 | even | 1 | trivial | |
644.2.y.a.417.5 | yes | 320 | 161.95 | even | 33 | inner | |
644.2.y.a.445.12 | yes | 320 | 7.4 | even | 3 | inner |