Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (of order \(9\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 481.1 | ||
Root | \(0.939693 + 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.481 |
Dual form | 570.2.u.e.301.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | 0.939693 | + | 0.342020i | 0.542532 | + | 0.197465i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −0.173648 | − | 0.984808i | −0.0776578 | − | 0.440419i | ||||
\(6\) | 0.939693 | − | 0.342020i | 0.383628 | − | 0.139629i | ||||
\(7\) | 1.26604 | − | 2.19285i | 0.478520 | − | 0.828821i | −0.521177 | − | 0.853449i | \(-0.674507\pi\) |
0.999697 | + | 0.0246281i | \(0.00784015\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 0.766044 | + | 0.642788i | 0.255348 | + | 0.214263i | ||||
\(10\) | −0.766044 | − | 0.642788i | −0.242245 | − | 0.203267i | ||||
\(11\) | 0.326352 | + | 0.565258i | 0.0983988 | + | 0.170432i | 0.911022 | − | 0.412358i | \(-0.135295\pi\) |
−0.812623 | + | 0.582789i | \(0.801961\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | 0.213011 | − | 0.0775297i | 0.0590786 | − | 0.0215029i | −0.312312 | − | 0.949980i | \(-0.601103\pi\) |
0.371390 | + | 0.928477i | \(0.378881\pi\) | |||||||
\(14\) | −0.439693 | − | 2.49362i | −0.117513 | − | 0.666448i | ||||
\(15\) | 0.173648 | − | 0.984808i | 0.0448358 | − | 0.254276i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 0.624485 | − | 0.524005i | 0.151460 | − | 0.127090i | −0.563909 | − | 0.825837i | \(-0.690703\pi\) |
0.715369 | + | 0.698747i | \(0.246259\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | 0.0320889 | − | 4.35878i | 0.00736170 | − | 0.999973i | ||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | 1.93969 | − | 1.62760i | 0.423276 | − | 0.355170i | ||||
\(22\) | 0.613341 | + | 0.223238i | 0.130765 | + | 0.0475945i | ||||
\(23\) | −0.680922 | + | 3.86170i | −0.141982 | + | 0.805220i | 0.827759 | + | 0.561084i | \(0.189616\pi\) |
−0.969741 | + | 0.244136i | \(0.921496\pi\) | |||||||
\(24\) | −0.173648 | − | 0.984808i | −0.0354458 | − | 0.201023i | ||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | 0.113341 | − | 0.196312i | 0.0222280 | − | 0.0385000i | ||||
\(27\) | 0.500000 | + | 0.866025i | 0.0962250 | + | 0.166667i | ||||
\(28\) | −1.93969 | − | 1.62760i | −0.366567 | − | 0.307587i | ||||
\(29\) | −1.14156 | − | 0.957882i | −0.211982 | − | 0.177874i | 0.530614 | − | 0.847614i | \(-0.321961\pi\) |
−0.742596 | + | 0.669739i | \(0.766406\pi\) | |||||||
\(30\) | −0.500000 | − | 0.866025i | −0.0912871 | − | 0.158114i | ||||
\(31\) | 0.479055 | − | 0.829748i | 0.0860409 | − | 0.149027i | −0.819793 | − | 0.572659i | \(-0.805912\pi\) |
0.905834 | + | 0.423632i | \(0.139245\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 0.113341 | + | 0.642788i | 0.0197301 | + | 0.111895i | ||||
\(34\) | 0.141559 | − | 0.802823i | 0.0242772 | − | 0.137683i | ||||
\(35\) | −2.37939 | − | 0.866025i | −0.402190 | − | 0.146385i | ||||
\(36\) | 0.766044 | − | 0.642788i | 0.127674 | − | 0.107131i | ||||
\(37\) | 1.34730 | 0.221494 | 0.110747 | − | 0.993849i | \(-0.464676\pi\) | ||||
0.110747 | + | 0.993849i | \(0.464676\pi\) | |||||||
\(38\) | −2.77719 | − | 3.35965i | −0.450520 | − | 0.545007i | ||||
\(39\) | 0.226682 | 0.0362981 | ||||||||
\(40\) | −0.766044 | + | 0.642788i | −0.121122 | + | 0.101634i | ||||
\(41\) | 4.35844 | + | 1.58634i | 0.680674 | + | 0.247745i | 0.659137 | − | 0.752023i | \(-0.270922\pi\) |
0.0215372 | + | 0.999768i | \(0.493144\pi\) | |||||||
\(42\) | 0.439693 | − | 2.49362i | 0.0678460 | − | 0.384774i | ||||
\(43\) | −0.273318 | − | 1.55007i | −0.0416807 | − | 0.236383i | 0.956849 | − | 0.290584i | \(-0.0938497\pi\) |
−0.998530 | + | 0.0542017i | \(0.982739\pi\) | |||||||
\(44\) | 0.613341 | − | 0.223238i | 0.0924646 | − | 0.0336544i | ||||
\(45\) | 0.500000 | − | 0.866025i | 0.0745356 | − | 0.129099i | ||||
\(46\) | 1.96064 | + | 3.39592i | 0.289080 | + | 0.500702i | ||||
\(47\) | 6.06805 | + | 5.09170i | 0.885116 | + | 0.742700i | 0.967224 | − | 0.253923i | \(-0.0817210\pi\) |
−0.0821086 | + | 0.996623i | \(0.526165\pi\) | |||||||
\(48\) | −0.766044 | − | 0.642788i | −0.110569 | − | 0.0927784i | ||||
\(49\) | 0.294263 | + | 0.509678i | 0.0420376 | + | 0.0728112i | ||||
\(50\) | −0.500000 | + | 0.866025i | −0.0707107 | + | 0.122474i | ||||
\(51\) | 0.766044 | − | 0.278817i | 0.107268 | − | 0.0390422i | ||||
\(52\) | −0.0393628 | − | 0.223238i | −0.00545864 | − | 0.0309575i | ||||
\(53\) | −1.06031 | + | 6.01330i | −0.145644 | + | 0.825991i | 0.821203 | + | 0.570636i | \(0.193303\pi\) |
−0.966847 | + | 0.255354i | \(0.917808\pi\) | |||||||
\(54\) | 0.939693 | + | 0.342020i | 0.127876 | + | 0.0465430i | ||||
\(55\) | 0.500000 | − | 0.419550i | 0.0674200 | − | 0.0565721i | ||||
\(56\) | −2.53209 | −0.338365 | ||||||||
\(57\) | 1.52094 | − | 4.08494i | 0.201454 | − | 0.541063i | ||||
\(58\) | −1.49020 | −0.195673 | ||||||||
\(59\) | −2.37939 | + | 1.99654i | −0.309770 | + | 0.259928i | −0.784397 | − | 0.620259i | \(-0.787027\pi\) |
0.474627 | + | 0.880187i | \(0.342583\pi\) | |||||||
\(60\) | −0.939693 | − | 0.342020i | −0.121314 | − | 0.0441546i | ||||
\(61\) | −0.553033 | + | 3.13641i | −0.0708087 | + | 0.401576i | 0.928717 | + | 0.370789i | \(0.120913\pi\) |
−0.999526 | + | 0.0307873i | \(0.990199\pi\) | |||||||
\(62\) | −0.166374 | − | 0.943555i | −0.0211295 | − | 0.119832i | ||||
\(63\) | 2.37939 | − | 0.866025i | 0.299774 | − | 0.109109i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −0.113341 | − | 0.196312i | −0.0140582 | − | 0.0243495i | ||||
\(66\) | 0.500000 | + | 0.419550i | 0.0615457 | + | 0.0516430i | ||||
\(67\) | −0.690722 | − | 0.579585i | −0.0843852 | − | 0.0708076i | 0.599619 | − | 0.800285i | \(-0.295319\pi\) |
−0.684004 | + | 0.729478i | \(0.739763\pi\) | |||||||
\(68\) | −0.407604 | − | 0.705990i | −0.0494292 | − | 0.0856139i | ||||
\(69\) | −1.96064 | + | 3.39592i | −0.236033 | + | 0.408821i | ||||
\(70\) | −2.37939 | + | 0.866025i | −0.284391 | + | 0.103510i | ||||
\(71\) | 1.60354 | + | 9.09413i | 0.190305 | + | 1.07927i | 0.918947 | + | 0.394380i | \(0.129041\pi\) |
−0.728642 | + | 0.684895i | \(0.759848\pi\) | |||||||
\(72\) | 0.173648 | − | 0.984808i | 0.0204646 | − | 0.116061i | ||||
\(73\) | −10.1912 | − | 3.70929i | −1.19279 | − | 0.434139i | −0.332087 | − | 0.943249i | \(-0.607753\pi\) |
−0.860702 | + | 0.509109i | \(0.829975\pi\) | |||||||
\(74\) | 1.03209 | − | 0.866025i | 0.119978 | − | 0.100673i | ||||
\(75\) | −1.00000 | −0.115470 | ||||||||
\(76\) | −4.28699 | − | 0.788496i | −0.491751 | − | 0.0904467i | ||||
\(77\) | 1.65270 | 0.188343 | ||||||||
\(78\) | 0.173648 | − | 0.145708i | 0.0196618 | − | 0.0164982i | ||||
\(79\) | 2.69207 | + | 0.979832i | 0.302881 | + | 0.110240i | 0.488990 | − | 0.872289i | \(-0.337365\pi\) |
−0.186109 | + | 0.982529i | \(0.559588\pi\) | |||||||
\(80\) | −0.173648 | + | 0.984808i | −0.0194145 | + | 0.110105i | ||||
\(81\) | 0.173648 | + | 0.984808i | 0.0192942 | + | 0.109423i | ||||
\(82\) | 4.35844 | − | 1.58634i | 0.481309 | − | 0.175182i | ||||
\(83\) | −4.46198 | + | 7.72838i | −0.489766 | + | 0.848300i | −0.999931 | − | 0.0117771i | \(-0.996251\pi\) |
0.510165 | + | 0.860077i | \(0.329584\pi\) | |||||||
\(84\) | −1.26604 | − | 2.19285i | −0.138137 | − | 0.239260i | ||||
\(85\) | −0.624485 | − | 0.524005i | −0.0677349 | − | 0.0568364i | ||||
\(86\) | −1.20574 | − | 1.01173i | −0.130018 | − | 0.109098i | ||||
\(87\) | −0.745100 | − | 1.29055i | −0.0798831 | − | 0.138362i | ||||
\(88\) | 0.326352 | − | 0.565258i | 0.0347892 | − | 0.0602567i | ||||
\(89\) | −14.2023 | + | 5.16923i | −1.50544 | + | 0.547937i | −0.957464 | − | 0.288554i | \(-0.906826\pi\) |
−0.547981 | + | 0.836491i | \(0.684603\pi\) | |||||||
\(90\) | −0.173648 | − | 0.984808i | −0.0183041 | − | 0.103808i | ||||
\(91\) | 0.0996702 | − | 0.565258i | 0.0104483 | − | 0.0592551i | ||||
\(92\) | 3.68479 | + | 1.34115i | 0.384166 | + | 0.139825i | ||||
\(93\) | 0.733956 | − | 0.615862i | 0.0761076 | − | 0.0638619i | ||||
\(94\) | 7.92127 | 0.817017 | ||||||||
\(95\) | −4.29813 | + | 0.725293i | −0.440979 | + | 0.0744135i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −0.603541 | + | 0.506431i | −0.0612803 | + | 0.0514202i | −0.672913 | − | 0.739721i | \(-0.734957\pi\) |
0.611633 | + | 0.791142i | \(0.290513\pi\) | |||||||
\(98\) | 0.553033 | + | 0.201288i | 0.0558648 | + | 0.0203331i | ||||
\(99\) | −0.113341 | + | 0.642788i | −0.0113912 | + | 0.0646026i | ||||
\(100\) | 0.173648 | + | 0.984808i | 0.0173648 | + | 0.0984808i | ||||
\(101\) | 8.39053 | − | 3.05390i | 0.834889 | − | 0.303875i | 0.111025 | − | 0.993818i | \(-0.464587\pi\) |
0.723864 | + | 0.689943i | \(0.242364\pi\) | |||||||
\(102\) | 0.407604 | − | 0.705990i | 0.0403588 | − | 0.0699035i | ||||
\(103\) | 0.730552 | + | 1.26535i | 0.0719834 | + | 0.124679i | 0.899770 | − | 0.436363i | \(-0.143734\pi\) |
−0.827787 | + | 0.561042i | \(0.810400\pi\) | |||||||
\(104\) | −0.173648 | − | 0.145708i | −0.0170276 | − | 0.0142879i | ||||
\(105\) | −1.93969 | − | 1.62760i | −0.189295 | − | 0.158837i | ||||
\(106\) | 3.05303 | + | 5.28801i | 0.296537 | + | 0.513617i | ||||
\(107\) | −3.66637 | + | 6.35035i | −0.354442 | + | 0.613911i | −0.987022 | − | 0.160583i | \(-0.948662\pi\) |
0.632580 | + | 0.774495i | \(0.281996\pi\) | |||||||
\(108\) | 0.939693 | − | 0.342020i | 0.0904220 | − | 0.0329109i | ||||
\(109\) | 1.23143 | + | 6.98378i | 0.117950 | + | 0.668925i | 0.985247 | + | 0.171136i | \(0.0547436\pi\) |
−0.867298 | + | 0.497789i | \(0.834145\pi\) | |||||||
\(110\) | 0.113341 | − | 0.642788i | 0.0108066 | − | 0.0612874i | ||||
\(111\) | 1.26604 | + | 0.460802i | 0.120168 | + | 0.0437374i | ||||
\(112\) | −1.93969 | + | 1.62760i | −0.183284 | + | 0.153793i | ||||
\(113\) | −14.7101 | −1.38381 | −0.691904 | − | 0.721990i | \(-0.743228\pi\) | ||||
−0.691904 | + | 0.721990i | \(0.743228\pi\) | |||||||
\(114\) | −1.46064 | − | 4.10689i | −0.136801 | − | 0.384645i | ||||
\(115\) | 3.92127 | 0.365661 | ||||||||
\(116\) | −1.14156 | + | 0.957882i | −0.105991 | + | 0.0889371i | ||||
\(117\) | 0.213011 | + | 0.0775297i | 0.0196929 | + | 0.00716762i | ||||
\(118\) | −0.539363 | + | 3.05888i | −0.0496524 | + | 0.281593i | ||||
\(119\) | −0.358441 | − | 2.03282i | −0.0328582 | − | 0.186348i | ||||
\(120\) | −0.939693 | + | 0.342020i | −0.0857818 | + | 0.0312220i | ||||
\(121\) | 5.28699 | − | 9.15733i | 0.480635 | − | 0.832485i | ||||
\(122\) | 1.59240 | + | 2.75811i | 0.144169 | + | 0.249708i | ||||
\(123\) | 3.55303 | + | 2.98135i | 0.320366 | + | 0.268819i | ||||
\(124\) | −0.733956 | − | 0.615862i | −0.0659112 | − | 0.0553060i | ||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | 1.26604 | − | 2.19285i | 0.112788 | − | 0.195355i | ||||
\(127\) | 0.113341 | − | 0.0412527i | 0.0100574 | − | 0.00366058i | −0.336987 | − | 0.941509i | \(-0.609408\pi\) |
0.347044 | + | 0.937849i | \(0.387185\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | 0.273318 | − | 1.55007i | 0.0240643 | − | 0.136476i | ||||
\(130\) | −0.213011 | − | 0.0775297i | −0.0186823 | − | 0.00679980i | ||||
\(131\) | 7.53983 | − | 6.32667i | 0.658758 | − | 0.552764i | −0.250956 | − | 0.967998i | \(-0.580745\pi\) |
0.909714 | + | 0.415235i | \(0.136301\pi\) | |||||||
\(132\) | 0.652704 | 0.0568106 | ||||||||
\(133\) | −9.51754 | − | 5.58878i | −0.825275 | − | 0.484608i | ||||
\(134\) | −0.901674 | −0.0778928 | ||||||||
\(135\) | 0.766044 | − | 0.642788i | 0.0659306 | − | 0.0553223i | ||||
\(136\) | −0.766044 | − | 0.278817i | −0.0656878 | − | 0.0239084i | ||||
\(137\) | −2.38326 | + | 13.5161i | −0.203615 | + | 1.15476i | 0.695989 | + | 0.718053i | \(0.254966\pi\) |
−0.899604 | + | 0.436707i | \(0.856145\pi\) | |||||||
\(138\) | 0.680922 | + | 3.86170i | 0.0579639 | + | 0.328730i | ||||
\(139\) | 16.6766 | − | 6.06980i | 1.41449 | − | 0.514834i | 0.482049 | − | 0.876144i | \(-0.339893\pi\) |
0.932446 | + | 0.361311i | \(0.117671\pi\) | |||||||
\(140\) | −1.26604 | + | 2.19285i | −0.107000 | + | 0.185330i | ||||
\(141\) | 3.96064 | + | 6.86002i | 0.333546 | + | 0.577718i | ||||
\(142\) | 7.07398 | + | 5.93577i | 0.593635 | + | 0.498119i | ||||
\(143\) | 0.113341 | + | 0.0951042i | 0.00947803 | + | 0.00795301i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −0.745100 | + | 1.29055i | −0.0618772 | + | 0.107174i | ||||
\(146\) | −10.1912 | + | 3.70929i | −0.843429 | + | 0.306983i | ||||
\(147\) | 0.102196 | + | 0.579585i | 0.00842902 | + | 0.0478034i | ||||
\(148\) | 0.233956 | − | 1.32683i | 0.0192310 | − | 0.109065i | ||||
\(149\) | −6.00640 | − | 2.18615i | −0.492063 | − | 0.179096i | 0.0840576 | − | 0.996461i | \(-0.473212\pi\) |
−0.576121 | + | 0.817365i | \(0.695434\pi\) | |||||||
\(150\) | −0.766044 | + | 0.642788i | −0.0625473 | + | 0.0524834i | ||||
\(151\) | 10.6527 | 0.866905 | 0.433452 | − | 0.901176i | \(-0.357295\pi\) | ||||
0.433452 | + | 0.901176i | \(0.357295\pi\) | |||||||
\(152\) | −3.79086 | + | 2.15160i | −0.307479 | + | 0.174518i | ||||
\(153\) | 0.815207 | 0.0659056 | ||||||||
\(154\) | 1.26604 | − | 1.06234i | 0.102021 | − | 0.0856056i | ||||
\(155\) | −0.900330 | − | 0.327693i | −0.0723162 | − | 0.0263210i | ||||
\(156\) | 0.0393628 | − | 0.223238i | 0.00315155 | − | 0.0178733i | ||||
\(157\) | −1.98158 | − | 11.2381i | −0.158147 | − | 0.896899i | −0.955852 | − | 0.293850i | \(-0.905063\pi\) |
0.797704 | − | 0.603049i | \(-0.206048\pi\) | |||||||
\(158\) | 2.69207 | − | 0.979832i | 0.214169 | − | 0.0779513i | ||||
\(159\) | −3.05303 | + | 5.28801i | −0.242121 | + | 0.419366i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 7.60607 | + | 6.38225i | 0.599442 | + | 0.502992i | ||||
\(162\) | 0.766044 | + | 0.642788i | 0.0601861 | + | 0.0505022i | ||||
\(163\) | −5.47178 | − | 9.47740i | −0.428583 | − | 0.742328i | 0.568165 | − | 0.822915i | \(-0.307654\pi\) |
−0.996748 | + | 0.0805874i | \(0.974320\pi\) | |||||||
\(164\) | 2.31908 | − | 4.01676i | 0.181090 | − | 0.313656i | ||||
\(165\) | 0.613341 | − | 0.223238i | 0.0477485 | − | 0.0173790i | ||||
\(166\) | 1.54963 | + | 8.78839i | 0.120275 | + | 0.682111i | ||||
\(167\) | −2.12923 | + | 12.0755i | −0.164765 | + | 0.934429i | 0.784541 | + | 0.620076i | \(0.212898\pi\) |
−0.949306 | + | 0.314352i | \(0.898213\pi\) | |||||||
\(168\) | −2.37939 | − | 0.866025i | −0.183574 | − | 0.0668153i | ||||
\(169\) | −9.91921 | + | 8.32321i | −0.763017 | + | 0.640247i | ||||
\(170\) | −0.815207 | −0.0625236 | ||||||||
\(171\) | 2.82635 | − | 3.31839i | 0.216137 | − | 0.253764i | ||||
\(172\) | −1.57398 | −0.120015 | ||||||||
\(173\) | −0.260115 | + | 0.218262i | −0.0197762 | + | 0.0165942i | −0.652622 | − | 0.757684i | \(-0.726331\pi\) |
0.632846 | + | 0.774278i | \(0.281887\pi\) | |||||||
\(174\) | −1.40033 | − | 0.509678i | −0.106159 | − | 0.0386386i | ||||
\(175\) | −0.439693 | + | 2.49362i | −0.0332376 | + | 0.188500i | ||||
\(176\) | −0.113341 | − | 0.642788i | −0.00854338 | − | 0.0484519i | ||||
\(177\) | −2.91875 | + | 1.06234i | −0.219387 | + | 0.0798502i | ||||
\(178\) | −7.55690 | + | 13.0889i | −0.566414 | + | 0.981058i | ||||
\(179\) | −7.30541 | − | 12.6533i | −0.546032 | − | 0.945755i | −0.998541 | − | 0.0539952i | \(-0.982804\pi\) |
0.452509 | − | 0.891760i | \(-0.350529\pi\) | |||||||
\(180\) | −0.766044 | − | 0.642788i | −0.0570976 | − | 0.0479106i | ||||
\(181\) | 4.07532 | + | 3.41960i | 0.302916 | + | 0.254177i | 0.781557 | − | 0.623834i | \(-0.214426\pi\) |
−0.478641 | + | 0.878011i | \(0.658870\pi\) | |||||||
\(182\) | −0.286989 | − | 0.497079i | −0.0212730 | − | 0.0368460i | ||||
\(183\) | −1.59240 | + | 2.75811i | −0.117713 | + | 0.203885i | ||||
\(184\) | 3.68479 | − | 1.34115i | 0.271647 | − | 0.0988712i | ||||
\(185\) | −0.233956 | − | 1.32683i | −0.0172008 | − | 0.0975503i | ||||
\(186\) | 0.166374 | − | 0.943555i | 0.0121991 | − | 0.0691848i | ||||
\(187\) | 0.500000 | + | 0.181985i | 0.0365636 | + | 0.0133081i | ||||
\(188\) | 6.06805 | − | 5.09170i | 0.442558 | − | 0.371350i | ||||
\(189\) | 2.53209 | 0.184182 | ||||||||
\(190\) | −2.82635 | + | 3.31839i | −0.205045 | + | 0.240742i | ||||
\(191\) | 19.2959 | 1.39620 | 0.698102 | − | 0.715999i | \(-0.254028\pi\) | ||||
0.698102 | + | 0.715999i | \(0.254028\pi\) | |||||||
\(192\) | −0.766044 | + | 0.642788i | −0.0552845 | + | 0.0463892i | ||||
\(193\) | −15.9153 | − | 5.79271i | −1.14561 | − | 0.416969i | −0.301675 | − | 0.953411i | \(-0.597546\pi\) |
−0.843937 | + | 0.536442i | \(0.819768\pi\) | |||||||
\(194\) | −0.136812 | + | 0.775897i | −0.00982250 | + | 0.0557061i | ||||
\(195\) | −0.0393628 | − | 0.223238i | −0.00281883 | − | 0.0159864i | ||||
\(196\) | 0.553033 | − | 0.201288i | 0.0395024 | − | 0.0143777i | ||||
\(197\) | −8.16637 | + | 14.1446i | −0.581830 | + | 1.00776i | 0.413432 | + | 0.910535i | \(0.364330\pi\) |
−0.995262 | + | 0.0972244i | \(0.969004\pi\) | |||||||
\(198\) | 0.326352 | + | 0.565258i | 0.0231928 | + | 0.0401711i | ||||
\(199\) | 13.7554 | + | 11.5421i | 0.975092 | + | 0.818199i | 0.983342 | − | 0.181767i | \(-0.0581815\pi\) |
−0.00824961 | + | 0.999966i | \(0.502626\pi\) | |||||||
\(200\) | 0.766044 | + | 0.642788i | 0.0541675 | + | 0.0454519i | ||||
\(201\) | −0.450837 | − | 0.780873i | −0.0317996 | − | 0.0550785i | ||||
\(202\) | 4.46451 | − | 7.73275i | 0.314122 | − | 0.544075i | ||||
\(203\) | −3.54576 | + | 1.29055i | −0.248864 | + | 0.0905789i | ||||
\(204\) | −0.141559 | − | 0.802823i | −0.00991113 | − | 0.0562088i | ||||
\(205\) | 0.805407 | − | 4.56769i | 0.0562521 | − | 0.319021i | ||||
\(206\) | 1.37299 | + | 0.499727i | 0.0956607 | + | 0.0348176i | ||||
\(207\) | −3.00387 | + | 2.52055i | −0.208783 | + | 0.175190i | ||||
\(208\) | −0.226682 | −0.0157175 | ||||||||
\(209\) | 2.47431 | − | 1.40436i | 0.171151 | − | 0.0971414i | ||||
\(210\) | −2.53209 | −0.174731 | ||||||||
\(211\) | 18.1400 | − | 15.2212i | 1.24881 | − | 1.04787i | 0.252024 | − | 0.967721i | \(-0.418904\pi\) |
0.996783 | − | 0.0801524i | \(-0.0255407\pi\) | |||||||
\(212\) | 5.73783 | + | 2.08840i | 0.394076 | + | 0.143432i | ||||
\(213\) | −1.60354 | + | 9.09413i | −0.109873 | + | 0.623120i | ||||
\(214\) | 1.27332 | + | 7.22135i | 0.0870423 | + | 0.493641i | ||||
\(215\) | −1.47906 | + | 0.538332i | −0.100871 | + | 0.0367139i | ||||
\(216\) | 0.500000 | − | 0.866025i | 0.0340207 | − | 0.0589256i | ||||
\(217\) | −1.21301 | − | 2.10100i | −0.0823446 | − | 0.142625i | ||||
\(218\) | 5.43242 | + | 4.55834i | 0.367930 | + | 0.308730i | ||||
\(219\) | −8.30793 | − | 6.97118i | −0.561398 | − | 0.471069i | ||||
\(220\) | −0.326352 | − | 0.565258i | −0.0220026 | − | 0.0381097i | ||||
\(221\) | 0.0923963 | − | 0.160035i | 0.00621525 | − | 0.0107651i | ||||
\(222\) | 1.26604 | − | 0.460802i | 0.0849713 | − | 0.0309270i | ||||
\(223\) | −0.0132037 | − | 0.0748822i | −0.000884188 | − | 0.00501448i | 0.984362 | − | 0.176155i | \(-0.0563659\pi\) |
−0.985247 | + | 0.171140i | \(0.945255\pi\) | |||||||
\(224\) | −0.439693 | + | 2.49362i | −0.0293782 | + | 0.166612i | ||||
\(225\) | −0.939693 | − | 0.342020i | −0.0626462 | − | 0.0228013i | ||||
\(226\) | −11.2686 | + | 9.45545i | −0.749574 | + | 0.628967i | ||||
\(227\) | 11.9385 | 0.792387 | 0.396193 | − | 0.918167i | \(-0.370331\pi\) | ||||
0.396193 | + | 0.918167i | \(0.370331\pi\) | |||||||
\(228\) | −3.75877 | − | 2.20718i | −0.248931 | − | 0.146174i | ||||
\(229\) | 17.5303 | 1.15844 | 0.579219 | − | 0.815172i | \(-0.303358\pi\) | ||||
0.579219 | + | 0.815172i | \(0.303358\pi\) | |||||||
\(230\) | 3.00387 | − | 2.52055i | 0.198069 | − | 0.166200i | ||||
\(231\) | 1.55303 | + | 0.565258i | 0.102182 | + | 0.0371912i | ||||
\(232\) | −0.258770 | + | 1.46756i | −0.0169891 | + | 0.0963501i | ||||
\(233\) | −4.79561 | − | 27.1972i | −0.314171 | − | 1.78175i | −0.576833 | − | 0.816862i | \(-0.695711\pi\) |
0.262662 | − | 0.964888i | \(-0.415400\pi\) | |||||||
\(234\) | 0.213011 | − | 0.0775297i | 0.0139250 | − | 0.00506827i | ||||
\(235\) | 3.96064 | − | 6.86002i | 0.258363 | − | 0.447499i | ||||
\(236\) | 1.55303 | + | 2.68993i | 0.101094 | + | 0.175100i | ||||
\(237\) | 2.19459 | + | 1.84148i | 0.142554 | + | 0.119617i | ||||
\(238\) | −1.58125 | − | 1.32683i | −0.102497 | − | 0.0860055i | ||||
\(239\) | −10.3525 | − | 17.9311i | −0.669648 | − | 1.15986i | −0.978002 | − | 0.208593i | \(-0.933112\pi\) |
0.308354 | − | 0.951272i | \(-0.400222\pi\) | |||||||
\(240\) | −0.500000 | + | 0.866025i | −0.0322749 | + | 0.0559017i | ||||
\(241\) | −12.1766 | + | 4.43193i | −0.784366 | + | 0.285486i | −0.702992 | − | 0.711198i | \(-0.748153\pi\) |
−0.0813742 | + | 0.996684i | \(0.525931\pi\) | |||||||
\(242\) | −1.83615 | − | 10.4133i | −0.118032 | − | 0.669395i | ||||
\(243\) | −0.173648 | + | 0.984808i | −0.0111395 | + | 0.0631754i | ||||
\(244\) | 2.99273 | + | 1.08926i | 0.191590 | + | 0.0697329i | ||||
\(245\) | 0.450837 | − | 0.378297i | 0.0288029 | − | 0.0241685i | ||||
\(246\) | 4.63816 | 0.295718 | ||||||||
\(247\) | −0.331100 | − | 0.930956i | −0.0210674 | − | 0.0592353i | ||||
\(248\) | −0.958111 | −0.0608401 | ||||||||
\(249\) | −6.83615 | + | 5.73621i | −0.433224 | + | 0.363518i | ||||
\(250\) | 0.939693 | + | 0.342020i | 0.0594314 | + | 0.0216313i | ||||
\(251\) | 1.28359 | − | 7.27957i | 0.0810192 | − | 0.459483i | −0.917126 | − | 0.398598i | \(-0.869497\pi\) |
0.998145 | − | 0.0608844i | \(-0.0193921\pi\) | |||||||
\(252\) | −0.439693 | − | 2.49362i | −0.0276980 | − | 0.157083i | ||||
\(253\) | −2.40508 | + | 0.875377i | −0.151206 | + | 0.0550345i | ||||
\(254\) | 0.0603074 | − | 0.104455i | 0.00378402 | − | 0.00655412i | ||||
\(255\) | −0.407604 | − | 0.705990i | −0.0255251 | − | 0.0442108i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 0.476996 | + | 0.400247i | 0.0297542 | + | 0.0249667i | 0.657543 | − | 0.753417i | \(-0.271596\pi\) |
−0.627789 | + | 0.778383i | \(0.716040\pi\) | |||||||
\(258\) | −0.786989 | − | 1.36310i | −0.0489958 | − | 0.0848632i | ||||
\(259\) | 1.70574 | − | 2.95442i | 0.105989 | − | 0.183579i | ||||
\(260\) | −0.213011 | + | 0.0775297i | −0.0132104 | + | 0.00480819i | ||||
\(261\) | −0.258770 | − | 1.46756i | −0.0160175 | − | 0.0908397i | ||||
\(262\) | 1.70914 | − | 9.69302i | 0.105591 | − | 0.598837i | ||||
\(263\) | −3.61974 | − | 1.31748i | −0.223203 | − | 0.0812391i | 0.227998 | − | 0.973662i | \(-0.426782\pi\) |
−0.451201 | + | 0.892422i | \(0.649004\pi\) | |||||||
\(264\) | 0.500000 | − | 0.419550i | 0.0307729 | − | 0.0258215i | ||||
\(265\) | 6.10607 | 0.375093 | ||||||||
\(266\) | −10.8833 | + | 1.83651i | −0.667295 | + | 0.112603i | ||||
\(267\) | −15.1138 | −0.924950 | ||||||||
\(268\) | −0.690722 | + | 0.579585i | −0.0421926 | + | 0.0354038i | ||||
\(269\) | −10.6630 | − | 3.88100i | −0.650133 | − | 0.236629i | −0.00416227 | − | 0.999991i | \(-0.501325\pi\) |
−0.645971 | + | 0.763362i | \(0.723547\pi\) | |||||||
\(270\) | 0.173648 | − | 0.984808i | 0.0105679 | − | 0.0599335i | ||||
\(271\) | −1.76470 | − | 10.0081i | −0.107198 | − | 0.607950i | −0.990320 | − | 0.138806i | \(-0.955674\pi\) |
0.883122 | − | 0.469144i | \(-0.155437\pi\) | |||||||
\(272\) | −0.766044 | + | 0.278817i | −0.0464483 | + | 0.0169058i | ||||
\(273\) | 0.286989 | − | 0.497079i | 0.0173694 | − | 0.0300846i | ||||
\(274\) | 6.86231 | + | 11.8859i | 0.414567 | + | 0.718052i | ||||
\(275\) | −0.500000 | − | 0.419550i | −0.0301511 | − | 0.0252998i | ||||
\(276\) | 3.00387 | + | 2.52055i | 0.180812 | + | 0.151719i | ||||
\(277\) | −14.6138 | − | 25.3119i | −0.878059 | − | 1.52084i | −0.853468 | − | 0.521144i | \(-0.825505\pi\) |
−0.0245901 | − | 0.999698i | \(-0.507828\pi\) | |||||||
\(278\) | 8.87346 | − | 15.3693i | 0.532194 | − | 0.921788i | ||||
\(279\) | 0.900330 | − | 0.327693i | 0.0539013 | − | 0.0196185i | ||||
\(280\) | 0.439693 | + | 2.49362i | 0.0262767 | + | 0.149022i | ||||
\(281\) | 2.86690 | − | 16.2590i | 0.171025 | − | 0.969929i | −0.771608 | − | 0.636098i | \(-0.780547\pi\) |
0.942633 | − | 0.333831i | \(-0.108342\pi\) | |||||||
\(282\) | 7.44356 | + | 2.70924i | 0.443258 | + | 0.161333i | ||||
\(283\) | −1.46270 | + | 1.22735i | −0.0869483 | + | 0.0729583i | −0.685226 | − | 0.728331i | \(-0.740296\pi\) |
0.598278 | + | 0.801289i | \(0.295852\pi\) | |||||||
\(284\) | 9.23442 | 0.547962 | ||||||||
\(285\) | −4.28699 | − | 0.788496i | −0.253939 | − | 0.0467065i | ||||
\(286\) | 0.147956 | 0.00874882 | ||||||||
\(287\) | 8.99660 | − | 7.54904i | 0.531052 | − | 0.445606i | ||||
\(288\) | −0.939693 | − | 0.342020i | −0.0553719 | − | 0.0201537i | ||||
\(289\) | −2.83662 | + | 16.0873i | −0.166860 | + | 0.946310i | ||||
\(290\) | 0.258770 | + | 1.46756i | 0.0151955 | + | 0.0861781i | ||||
\(291\) | −0.740352 | + | 0.269466i | −0.0434002 | + | 0.0157964i | ||||
\(292\) | −5.42262 | + | 9.39225i | −0.317335 | + | 0.549640i | ||||
\(293\) | −1.42262 | − | 2.46405i | −0.0831103 | − | 0.143951i | 0.821474 | − | 0.570246i | \(-0.193152\pi\) |
−0.904584 | + | 0.426295i | \(0.859819\pi\) | |||||||
\(294\) | 0.450837 | + | 0.378297i | 0.0262933 | + | 0.0220627i | ||||
\(295\) | 2.37939 | + | 1.99654i | 0.138533 | + | 0.116243i | ||||
\(296\) | −0.673648 | − | 1.16679i | −0.0391550 | − | 0.0678185i | ||||
\(297\) | −0.326352 | + | 0.565258i | −0.0189369 | + | 0.0327996i | ||||
\(298\) | −6.00640 | + | 2.18615i | −0.347941 | + | 0.126640i | ||||
\(299\) | 0.154353 | + | 0.875377i | 0.00892644 | + | 0.0506243i | ||||
\(300\) | −0.173648 | + | 0.984808i | −0.0100256 | + | 0.0568579i | ||||
\(301\) | −3.74510 | − | 1.36310i | −0.215864 | − | 0.0785681i | ||||
\(302\) | 8.16044 | − | 6.84743i | 0.469581 | − | 0.394025i | ||||
\(303\) | 8.92902 | 0.512959 | ||||||||
\(304\) | −1.52094 | + | 4.08494i | −0.0872322 | + | 0.234287i | ||||
\(305\) | 3.18479 | 0.182361 | ||||||||
\(306\) | 0.624485 | − | 0.524005i | 0.0356994 | − | 0.0299554i | ||||
\(307\) | −5.19372 | − | 1.89036i | −0.296421 | − | 0.107888i | 0.189529 | − | 0.981875i | \(-0.439304\pi\) |
−0.485950 | + | 0.873987i | \(0.661526\pi\) | |||||||
\(308\) | 0.286989 | − | 1.62760i | 0.0163527 | − | 0.0927409i | ||||
\(309\) | 0.253718 | + | 1.43891i | 0.0144335 | + | 0.0818565i | ||||
\(310\) | −0.900330 | + | 0.327693i | −0.0511353 | + | 0.0186117i | ||||
\(311\) | 6.83662 | − | 11.8414i | 0.387669 | − | 0.671463i | −0.604466 | − | 0.796631i | \(-0.706614\pi\) |
0.992136 | + | 0.125168i | \(0.0399470\pi\) | |||||||
\(312\) | −0.113341 | − | 0.196312i | −0.00641666 | − | 0.0111140i | ||||
\(313\) | −22.1348 | − | 18.5733i | −1.25113 | − | 1.04982i | −0.996569 | − | 0.0827662i | \(-0.973625\pi\) |
−0.254561 | − | 0.967057i | \(-0.581931\pi\) | |||||||
\(314\) | −8.74170 | − | 7.33515i | −0.493322 | − | 0.413947i | ||||
\(315\) | −1.26604 | − | 2.19285i | −0.0713335 | − | 0.123553i | ||||
\(316\) | 1.43242 | − | 2.48102i | 0.0805798 | − | 0.139568i | ||||
\(317\) | −0.500000 | + | 0.181985i | −0.0280828 | + | 0.0102213i | −0.356023 | − | 0.934477i | \(-0.615868\pi\) |
0.327941 | + | 0.944698i | \(0.393645\pi\) | |||||||
\(318\) | 1.06031 | + | 6.01330i | 0.0594591 | + | 0.337209i | ||||
\(319\) | 0.168900 | − | 0.957882i | 0.00945661 | − | 0.0536311i | ||||
\(320\) | 0.939693 | + | 0.342020i | 0.0525304 | + | 0.0191195i | ||||
\(321\) | −5.61721 | + | 4.71340i | −0.313522 | + | 0.263076i | ||||
\(322\) | 9.92902 | 0.553322 | ||||||||
\(323\) | −2.26399 | − | 2.73881i | −0.125971 | − | 0.152391i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −0.173648 | + | 0.145708i | −0.00963227 | + | 0.00808243i | ||||
\(326\) | −10.2836 | − | 3.74292i | −0.569555 | − | 0.207301i | ||||
\(327\) | −1.23143 | + | 6.98378i | −0.0680982 | + | 0.386204i | ||||
\(328\) | −0.805407 | − | 4.56769i | −0.0444712 | − | 0.252209i | ||||
\(329\) | 18.8478 | − | 6.86002i | 1.03911 | − | 0.378205i | ||||
\(330\) | 0.326352 | − | 0.565258i | 0.0179651 | − | 0.0311164i | ||||
\(331\) | −7.35117 | − | 12.7326i | −0.404057 | − | 0.699847i | 0.590155 | − | 0.807290i | \(-0.299067\pi\) |
−0.994211 | + | 0.107444i | \(0.965733\pi\) | |||||||
\(332\) | 6.83615 | + | 5.73621i | 0.375183 | + | 0.314816i | ||||
\(333\) | 1.03209 | + | 0.866025i | 0.0565581 | + | 0.0474579i | ||||
\(334\) | 6.13088 | + | 10.6190i | 0.335467 | + | 0.581046i | ||||
\(335\) | −0.450837 | + | 0.780873i | −0.0246319 | + | 0.0426636i | ||||
\(336\) | −2.37939 | + | 0.866025i | −0.129806 | + | 0.0472456i | ||||
\(337\) | −0.101014 | − | 0.572881i | −0.00550260 | − | 0.0312068i | 0.981933 | − | 0.189230i | \(-0.0605991\pi\) |
−0.987435 | + | 0.158023i | \(0.949488\pi\) | |||||||
\(338\) | −2.24850 | + | 12.7519i | −0.122302 | + | 0.693612i | ||||
\(339\) | −13.8229 | − | 5.03114i | −0.750759 | − | 0.273254i | ||||
\(340\) | −0.624485 | + | 0.524005i | −0.0338675 | + | 0.0284182i | ||||
\(341\) | 0.625362 | 0.0338653 | ||||||||
\(342\) | 0.0320889 | − | 4.35878i | 0.00173517 | − | 0.235696i | ||||
\(343\) | 19.2148 | 1.03750 | ||||||||
\(344\) | −1.20574 | + | 1.01173i | −0.0650090 | + | 0.0545490i | ||||
\(345\) | 3.68479 | + | 1.34115i | 0.198383 | + | 0.0722053i | ||||
\(346\) | −0.0589632 | + | 0.334397i | −0.00316988 | + | 0.0179773i | ||||
\(347\) | −5.55391 | − | 31.4978i | −0.298150 | − | 1.69089i | −0.654118 | − | 0.756392i | \(-0.726960\pi\) |
0.355969 | − | 0.934498i | \(-0.384151\pi\) | |||||||
\(348\) | −1.40033 | + | 0.509678i | −0.0750656 | + | 0.0273216i | ||||
\(349\) | −8.94491 | + | 15.4930i | −0.478810 | + | 0.829323i | −0.999705 | − | 0.0242978i | \(-0.992265\pi\) |
0.520895 | + | 0.853621i | \(0.325598\pi\) | |||||||
\(350\) | 1.26604 | + | 2.19285i | 0.0676729 | + | 0.117213i | ||||
\(351\) | 0.173648 | + | 0.145708i | 0.00926865 | + | 0.00777732i | ||||
\(352\) | −0.500000 | − | 0.419550i | −0.0266501 | − | 0.0223621i | ||||
\(353\) | −0.00774079 | − | 0.0134074i | −0.000412000 | − | 0.000713606i | 0.865819 | − | 0.500357i | \(-0.166798\pi\) |
−0.866231 | + | 0.499643i | \(0.833464\pi\) | |||||||
\(354\) | −1.55303 | + | 2.68993i | −0.0825428 | + | 0.142968i | ||||
\(355\) | 8.67752 | − | 3.15836i | 0.460555 | − | 0.167628i | ||||
\(356\) | 2.62449 | + | 14.8842i | 0.139097 | + | 0.788861i | ||||
\(357\) | 0.358441 | − | 2.03282i | 0.0189707 | − | 0.107588i | ||||
\(358\) | −13.7297 | − | 4.99719i | −0.725636 | − | 0.264110i | ||||
\(359\) | 13.9945 | − | 11.7428i | 0.738603 | − | 0.619762i | −0.193859 | − | 0.981029i | \(-0.562100\pi\) |
0.932462 | + | 0.361268i | \(0.117656\pi\) | |||||||
\(360\) | −1.00000 | −0.0527046 | ||||||||
\(361\) | −18.9979 | − | 0.279737i | −0.999892 | − | 0.0147230i | ||||
\(362\) | 5.31996 | 0.279611 | ||||||||
\(363\) | 8.10014 | − | 6.79682i | 0.425147 | − | 0.356741i | ||||
\(364\) | −0.539363 | − | 0.196312i | −0.0282703 | − | 0.0102895i | ||||
\(365\) | −1.88326 | + | 10.6805i | −0.0985741 | + | 0.559042i | ||||
\(366\) | 0.553033 | + | 3.13641i | 0.0289075 | + | 0.163943i | ||||
\(367\) | −8.55690 | + | 3.11446i | −0.446667 | + | 0.162573i | −0.555554 | − | 0.831481i | \(-0.687494\pi\) |
0.108887 | + | 0.994054i | \(0.465271\pi\) | |||||||
\(368\) | 1.96064 | − | 3.39592i | 0.102205 | − | 0.177025i | ||||
\(369\) | 2.31908 | + | 4.01676i | 0.120726 | + | 0.209104i | ||||
\(370\) | −1.03209 | − | 0.866025i | −0.0536557 | − | 0.0450225i | ||||
\(371\) | 11.8439 | + | 9.93821i | 0.614904 | + | 0.515966i | ||||
\(372\) | −0.479055 | − | 0.829748i | −0.0248379 | − | 0.0430205i | ||||
\(373\) | −0.0243481 | + | 0.0421721i | −0.00126070 | + | 0.00218359i | −0.866655 | − | 0.498908i | \(-0.833735\pi\) |
0.865394 | + | 0.501091i | \(0.167068\pi\) | |||||||
\(374\) | 0.500000 | − | 0.181985i | 0.0258544 | − | 0.00941023i | ||||
\(375\) | 0.173648 | + | 0.984808i | 0.00896715 | + | 0.0508553i | ||||
\(376\) | 1.37551 | − | 7.80093i | 0.0709368 | − | 0.402302i | ||||
\(377\) | −0.317429 | − | 0.115535i | −0.0163484 | − | 0.00595034i | ||||
\(378\) | 1.93969 | − | 1.62760i | 0.0997670 | − | 0.0837145i | ||||
\(379\) | 21.5885 | 1.10893 | 0.554464 | − | 0.832208i | \(-0.312923\pi\) | ||||
0.554464 | + | 0.832208i | \(0.312923\pi\) | |||||||
\(380\) | −0.0320889 | + | 4.35878i | −0.00164613 | + | 0.223601i | ||||
\(381\) | 0.120615 | 0.00617928 | ||||||||
\(382\) | 14.7815 | − | 12.4032i | 0.756289 | − | 0.634602i | ||||
\(383\) | 4.53462 | + | 1.65046i | 0.231708 | + | 0.0843348i | 0.455265 | − | 0.890356i | \(-0.349545\pi\) |
−0.223557 | + | 0.974691i | \(0.571767\pi\) | |||||||
\(384\) | −0.173648 | + | 0.984808i | −0.00886145 | + | 0.0502558i | ||||
\(385\) | −0.286989 | − | 1.62760i | −0.0146263 | − | 0.0829499i | ||||
\(386\) | −15.9153 | + | 5.79271i | −0.810070 | + | 0.294841i | ||||
\(387\) | 0.786989 | − | 1.36310i | 0.0400049 | − | 0.0692905i | ||||
\(388\) | 0.393933 | + | 0.682312i | 0.0199989 | + | 0.0346392i | ||||
\(389\) | 13.6964 | + | 11.4926i | 0.694435 | + | 0.582700i | 0.920184 | − | 0.391485i | \(-0.128039\pi\) |
−0.225749 | + | 0.974185i | \(0.572483\pi\) | |||||||
\(390\) | −0.173648 | − | 0.145708i | −0.00879302 | − | 0.00737822i | ||||
\(391\) | 1.59833 | + | 2.76838i | 0.0808308 | + | 0.140003i | ||||
\(392\) | 0.294263 | − | 0.509678i | 0.0148625 | − | 0.0257426i | ||||
\(393\) | 9.24897 | − | 3.36635i | 0.466549 | − | 0.169810i | ||||
\(394\) | 2.83615 | + | 16.0846i | 0.142883 | + | 0.810331i | ||||
\(395\) | 0.497474 | − | 2.82131i | 0.0250306 | − | 0.141956i | ||||
\(396\) | 0.613341 | + | 0.223238i | 0.0308215 | + | 0.0112181i | ||||
\(397\) | −25.5692 | + | 21.4551i | −1.28328 | + | 1.07680i | −0.290500 | + | 0.956875i | \(0.593822\pi\) |
−0.992783 | + | 0.119927i | \(0.961734\pi\) | |||||||
\(398\) | 17.9564 | 0.900071 | ||||||||
\(399\) | −7.03209 | − | 8.50692i | −0.352045 | − | 0.425879i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 22.1275 | − | 18.5672i | 1.10499 | − | 0.927200i | 0.107243 | − | 0.994233i | \(-0.465798\pi\) |
0.997751 | + | 0.0670332i | \(0.0213533\pi\) | |||||||
\(402\) | −0.847296 | − | 0.308391i | −0.0422593 | − | 0.0153811i | ||||
\(403\) | 0.0377140 | − | 0.213887i | 0.00187867 | − | 0.0106544i | ||||
\(404\) | −1.55051 | − | 8.79336i | −0.0771406 | − | 0.437486i | ||||
\(405\) | 0.939693 | − | 0.342020i | 0.0466937 | − | 0.0169951i | ||||
\(406\) | −1.88666 | + | 3.26779i | −0.0936333 | + | 0.162178i | ||||
\(407\) | 0.439693 | + | 0.761570i | 0.0217948 | + | 0.0377496i | ||||
\(408\) | −0.624485 | − | 0.524005i | −0.0309166 | − | 0.0259421i | ||||
\(409\) | 19.3025 | + | 16.1967i | 0.954446 | + | 0.800875i | 0.980041 | − | 0.198797i | \(-0.0637035\pi\) |
−0.0255949 | + | 0.999672i | \(0.508148\pi\) | |||||||
\(410\) | −2.31908 | − | 4.01676i | −0.114531 | − | 0.198374i | ||||
\(411\) | −6.86231 | + | 11.8859i | −0.338493 | + | 0.586287i | ||||
\(412\) | 1.37299 | − | 0.499727i | 0.0676423 | − | 0.0246198i | ||||
\(413\) | 1.36571 | + | 7.74535i | 0.0672024 | + | 0.381124i | ||||
\(414\) | −0.680922 | + | 3.86170i | −0.0334655 | + | 0.189792i | ||||
\(415\) | 8.38578 | + | 3.05217i | 0.411642 | + | 0.149825i | ||||
\(416\) | −0.173648 | + | 0.145708i | −0.00851380 | + | 0.00714393i | ||||
\(417\) | 17.7469 | 0.869070 | ||||||||
\(418\) | 0.992726 | − | 2.66625i | 0.0485558 | − | 0.130411i | ||||
\(419\) | 5.66456 | 0.276732 | 0.138366 | − | 0.990381i | \(-0.455815\pi\) | ||||
0.138366 | + | 0.990381i | \(0.455815\pi\) | |||||||
\(420\) | −1.93969 | + | 1.62760i | −0.0946473 | + | 0.0794185i | ||||
\(421\) | −22.8542 | − | 8.31823i | −1.11384 | − | 0.405406i | −0.281442 | − | 0.959578i | \(-0.590813\pi\) |
−0.832402 | + | 0.554172i | \(0.813035\pi\) | |||||||
\(422\) | 4.11200 | − | 23.3203i | 0.200169 | − | 1.13521i | ||||
\(423\) | 1.37551 | + | 7.80093i | 0.0668798 | + | 0.379294i | ||||
\(424\) | 5.73783 | − | 2.08840i | 0.278653 | − | 0.101422i | ||||
\(425\) | −0.407604 | + | 0.705990i | −0.0197717 | + | 0.0342456i | ||||
\(426\) | 4.61721 | + | 7.99724i | 0.223705 | + | 0.387468i | ||||
\(427\) | 6.17752 | + | 5.18355i | 0.298951 | + | 0.250850i | ||||
\(428\) | 5.61721 | + | 4.71340i | 0.271518 | + | 0.227831i | ||||
\(429\) | 0.0739780 | + | 0.128134i | 0.00357169 | + | 0.00618635i | ||||
\(430\) | −0.786989 | + | 1.36310i | −0.0379520 | + | 0.0657348i | ||||
\(431\) | −27.2327 | + | 9.91188i | −1.31175 | + | 0.477438i | −0.900806 | − | 0.434222i | \(-0.857024\pi\) |
−0.410945 | + | 0.911660i | \(0.634801\pi\) | |||||||
\(432\) | −0.173648 | − | 0.984808i | −0.00835465 | − | 0.0473816i | ||||
\(433\) | 1.55556 | − | 8.82202i | 0.0747554 | − | 0.423959i | −0.924345 | − | 0.381557i | \(-0.875388\pi\) |
0.999101 | − | 0.0424018i | \(-0.0135010\pi\) | |||||||
\(434\) | −2.27972 | − | 0.829748i | −0.109430 | − | 0.0398292i | ||||
\(435\) | −1.14156 | + | 0.957882i | −0.0547336 | + | 0.0459269i | ||||
\(436\) | 7.09152 | 0.339622 | ||||||||
\(437\) | 16.8105 | + | 3.09191i | 0.804153 | + | 0.147906i | ||||
\(438\) | −10.8452 | −0.518205 | ||||||||
\(439\) | −17.9270 | + | 15.0425i | −0.855607 | + | 0.717939i | −0.961017 | − | 0.276489i | \(-0.910829\pi\) |
0.105410 | + | 0.994429i | \(0.466384\pi\) | |||||||
\(440\) | −0.613341 | − | 0.223238i | −0.0292399 | − | 0.0106424i | ||||
\(441\) | −0.102196 | + | 0.579585i | −0.00486650 | + | 0.0275993i | ||||
\(442\) | −0.0320889 | − | 0.181985i | −0.00152631 | − | 0.00865615i | ||||
\(443\) | 29.5710 | − | 10.7630i | 1.40496 | − | 0.511365i | 0.475315 | − | 0.879815i | \(-0.342334\pi\) |
0.929647 | + | 0.368451i | \(0.120112\pi\) | |||||||
\(444\) | 0.673648 | − | 1.16679i | 0.0319699 | − | 0.0553735i | ||||
\(445\) | 7.55690 | + | 13.0889i | 0.358232 | + | 0.620475i | ||||
\(446\) | −0.0582480 | − | 0.0488759i | −0.00275812 | − | 0.00231434i | ||||
\(447\) | −4.89646 | − | 4.10862i | −0.231595 | − | 0.194331i | ||||
\(448\) | 1.26604 | + | 2.19285i | 0.0598150 | + | 0.103603i | ||||
\(449\) | −6.77110 | + | 11.7279i | −0.319548 | + | 0.553473i | −0.980394 | − | 0.197049i | \(-0.936864\pi\) |
0.660846 | + | 0.750522i | \(0.270198\pi\) | |||||||
\(450\) | −0.939693 | + | 0.342020i | −0.0442975 | + | 0.0161230i | ||||
\(451\) | 0.525692 | + | 2.98135i | 0.0247539 | + | 0.140386i | ||||
\(452\) | −2.55438 | + | 14.4866i | −0.120148 | + | 0.681392i | ||||
\(453\) | 10.0103 | + | 3.64344i | 0.470323 | + | 0.171184i | ||||
\(454\) | 9.14543 | − | 7.67393i | 0.429216 | − | 0.360155i | ||||
\(455\) | −0.573978 | −0.0269085 | ||||||||
\(456\) | −4.29813 | + | 0.725293i | −0.201279 | + | 0.0339650i | ||||
\(457\) | −17.9195 | −0.838240 | −0.419120 | − | 0.907931i | \(-0.637661\pi\) | ||||
−0.419120 | + | 0.907931i | \(0.637661\pi\) | |||||||
\(458\) | 13.4290 | − | 11.2683i | 0.627497 | − | 0.526532i | ||||
\(459\) | 0.766044 | + | 0.278817i | 0.0357559 | + | 0.0130141i | ||||
\(460\) | 0.680922 | − | 3.86170i | 0.0317482 | − | 0.180053i | ||||
\(461\) | −4.26873 | − | 24.2092i | −0.198815 | − | 1.12753i | −0.906881 | − | 0.421388i | \(-0.861543\pi\) |
0.708066 | − | 0.706146i | \(-0.249568\pi\) | |||||||
\(462\) | 1.55303 | − | 0.565258i | 0.0722537 | − | 0.0262982i | ||||
\(463\) | −10.9636 | + | 18.9896i | −0.509523 | + | 0.882520i | 0.490416 | + | 0.871488i | \(0.336845\pi\) |
−0.999939 | + | 0.0110315i | \(0.996489\pi\) | |||||||
\(464\) | 0.745100 | + | 1.29055i | 0.0345904 | + | 0.0599123i | ||||
\(465\) | −0.733956 | − | 0.615862i | −0.0340364 | − | 0.0285599i | ||||
\(466\) | −21.1557 | − | 17.7517i | −0.980019 | − | 0.822333i | ||||
\(467\) | −9.57650 | − | 16.5870i | −0.443148 | − | 0.767554i | 0.554773 | − | 0.832002i | \(-0.312805\pi\) |
−0.997921 | + | 0.0644471i | \(0.979472\pi\) | |||||||
\(468\) | 0.113341 | − | 0.196312i | 0.00523918 | − | 0.00907453i | ||||
\(469\) | −2.14543 | + | 0.780873i | −0.0990667 | + | 0.0360573i | ||||
\(470\) | −1.37551 | − | 7.80093i | −0.0634478 | − | 0.359830i | ||||
\(471\) | 1.98158 | − | 11.2381i | 0.0913065 | − | 0.517825i | ||||
\(472\) | 2.91875 | + | 1.06234i | 0.134346 | + | 0.0488980i | ||||
\(473\) | 0.786989 | − | 0.660362i | 0.0361858 | − | 0.0303635i | ||||
\(474\) | 2.86484 | 0.131586 | ||||||||
\(475\) | 1.46064 | + | 4.10689i | 0.0670186 | + | 0.188437i | ||||
\(476\) | −2.06418 | −0.0946114 | ||||||||
\(477\) | −4.67752 | + | 3.92490i | −0.214169 | + | 0.179709i | ||||
\(478\) | −19.4564 | − | 7.08153i | −0.889913 | − | 0.323902i | ||||
\(479\) | −1.93464 | + | 10.9719i | −0.0883960 | + | 0.501318i | 0.908176 | + | 0.418588i | \(0.137475\pi\) |
−0.996572 | + | 0.0827300i | \(0.973636\pi\) | |||||||
\(480\) | 0.173648 | + | 0.984808i | 0.00792592 | + | 0.0449501i | ||||
\(481\) | 0.286989 | − | 0.104455i | 0.0130856 | − | 0.00476276i | ||||
\(482\) | −6.47906 | + | 11.2221i | −0.295113 | + | 0.511151i | ||||
\(483\) | 4.96451 | + | 8.59878i | 0.225893 | + | 0.391258i | ||||
\(484\) | −8.10014 | − | 6.79682i | −0.368188 | − | 0.308946i | ||||
\(485\) | 0.603541 | + | 0.506431i | 0.0274054 | + | 0.0229958i | ||||
\(486\) | 0.500000 | + | 0.866025i | 0.0226805 | + | 0.0392837i | ||||
\(487\) | −12.1566 | + | 21.0558i | −0.550867 | + | 0.954130i | 0.447345 | + | 0.894361i | \(0.352369\pi\) |
−0.998212 | + | 0.0597682i | \(0.980964\pi\) | |||||||
\(488\) | 2.99273 | − | 1.08926i | 0.135474 | − | 0.0493086i | ||||
\(489\) | −1.90033 | − | 10.7773i | −0.0859359 | − | 0.487367i | ||||
\(490\) | 0.102196 | − | 0.579585i | 0.00461676 | − | 0.0261830i | ||||
\(491\) | −21.9008 | − | 7.97124i | −0.988369 | − | 0.359737i | −0.203281 | − | 0.979121i | \(-0.565160\pi\) |
−0.785089 | + | 0.619384i | \(0.787383\pi\) | |||||||
\(492\) | 3.55303 | − | 2.98135i | 0.160183 | − | 0.134410i | ||||
\(493\) | −1.21482 | −0.0547128 | ||||||||
\(494\) | −0.852044 | − | 0.500327i | −0.0383353 | − | 0.0225108i | ||||
\(495\) | 0.652704 | 0.0293368 | ||||||||
\(496\) | −0.733956 | + | 0.615862i | −0.0329556 | + | 0.0276530i | ||||
\(497\) | 21.9722 | + | 7.99724i | 0.985590 | + | 0.358725i | ||||
\(498\) | −1.54963 | + | 8.78839i | −0.0694406 | + | 0.393817i | ||||
\(499\) | 0.187319 | + | 1.06234i | 0.00838554 | + | 0.0475568i | 0.988713 | − | 0.149819i | \(-0.0478692\pi\) |
−0.980328 | + | 0.197376i | \(0.936758\pi\) | |||||||
\(500\) | 0.939693 | − | 0.342020i | 0.0420243 | − | 0.0152956i | ||||
\(501\) | −6.13088 | + | 10.6190i | −0.273908 | + | 0.474422i | ||||
\(502\) | −3.69594 | − | 6.40155i | −0.164958 | − | 0.285715i | ||||
\(503\) | 26.2631 | + | 22.0374i | 1.17101 | + | 0.982597i | 0.999996 | − | 0.00267047i | \(-0.000850038\pi\) |
0.171018 | + | 0.985268i | \(0.445294\pi\) | |||||||
\(504\) | −1.93969 | − | 1.62760i | −0.0864008 | − | 0.0724989i | ||||
\(505\) | −4.46451 | − | 7.73275i | −0.198668 | − | 0.344103i | ||||
\(506\) | −1.27972 | + | 2.21653i | −0.0568903 | + | 0.0985368i | ||||
\(507\) | −12.1677 | + | 4.42869i | −0.540387 | + | 0.196685i | ||||
\(508\) | −0.0209445 | − | 0.118782i | −0.000929263 | − | 0.00527011i | ||||
\(509\) | 1.16519 | − | 6.60813i | 0.0516462 | − | 0.292900i | −0.948034 | − | 0.318168i | \(-0.896933\pi\) |
0.999681 | + | 0.0252672i | \(0.00804365\pi\) | |||||||
\(510\) | −0.766044 | − | 0.278817i | −0.0339210 | − | 0.0123462i | ||||
\(511\) | −21.0364 | + | 17.6517i | −0.930597 | + | 0.780863i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 3.79086 | − | 2.15160i | 0.167371 | − | 0.0949955i | ||||
\(514\) | 0.622674 | 0.0274650 | ||||||||
\(515\) | 1.11927 | − | 0.939180i | 0.0493210 | − | 0.0413852i | ||||
\(516\) | −1.47906 | − | 0.538332i | −0.0651118 | − | 0.0236988i | ||||
\(517\) | −0.897804 | + | 5.09170i | −0.0394854 | + | 0.223933i | ||||
\(518\) | −0.592396 | − | 3.35965i | −0.0260284 | − | 0.147614i | ||||
\(519\) | −0.319078 | + | 0.116135i | −0.0140060 | + | 0.00509775i | ||||
\(520\) | −0.113341 | + | 0.196312i | −0.00497032 | + | 0.00860885i | ||||
\(521\) | 17.6215 | + | 30.5214i | 0.772014 | + | 1.33717i | 0.936458 | + | 0.350781i | \(0.114084\pi\) |
−0.164443 | + | 0.986387i | \(0.552583\pi\) | |||||||
\(522\) | −1.14156 | − | 0.957882i | −0.0499647 | − | 0.0419254i | ||||
\(523\) | 30.0592 | + | 25.2226i | 1.31440 | + | 1.10291i | 0.987461 | + | 0.157863i | \(0.0504603\pi\) |
0.326935 | + | 0.945047i | \(0.393984\pi\) | |||||||
\(524\) | −4.92127 | − | 8.52390i | −0.214987 | − | 0.372368i | ||||
\(525\) | −1.26604 | + | 2.19285i | −0.0552547 | + | 0.0957040i | ||||
\(526\) | −3.61974 | + | 1.31748i | −0.157828 | + | 0.0574447i | ||||
\(527\) | −0.135630 | − | 0.769193i | −0.00590811 | − | 0.0335066i | ||||
\(528\) | 0.113341 | − | 0.642788i | 0.00493253 | − | 0.0279737i | ||||
\(529\) | 7.16385 | + | 2.60743i | 0.311472 | + | 0.113366i | ||||
\(530\) | 4.67752 | − | 3.92490i | 0.203178 | − | 0.170487i | ||||
\(531\) | −3.10607 | −0.134792 | ||||||||
\(532\) | −7.15657 | + | 8.40247i | −0.310277 | + | 0.364293i | ||||
\(533\) | 1.05138 | 0.0455405 | ||||||||
\(534\) | −11.5778 | + | 9.71497i | −0.501022 | + | 0.420408i | ||||
\(535\) | 6.89053 | + | 2.50795i | 0.297904 | + | 0.108428i | ||||
\(536\) | −0.156574 | + | 0.887975i | −0.00676297 | + | 0.0383547i | ||||
\(537\) | −2.53714 | − | 14.3888i | −0.109486 | − | 0.620924i | ||||
\(538\) | −10.6630 | + | 3.88100i | −0.459713 | + | 0.167322i | ||||
\(539\) | −0.192066 | + | 0.332669i | −0.00827289 | + | 0.0143291i | ||||
\(540\) | −0.500000 | − | 0.866025i | −0.0215166 | − | 0.0372678i | ||||
\(541\) | −24.5737 | − | 20.6198i | −1.05651 | − | 0.886515i | −0.0627444 | − | 0.998030i | \(-0.519985\pi\) |
−0.993763 | + | 0.111515i | \(0.964430\pi\) | |||||||
\(542\) | −7.78493 | − | 6.53233i | −0.334391 | − | 0.280588i | ||||
\(543\) | 2.65998 | + | 4.60722i | 0.114151 | + | 0.197715i | ||||
\(544\) | −0.407604 | + | 0.705990i | −0.0174759 | + | 0.0302691i | ||||
\(545\) | 6.66385 | − | 2.42544i | 0.285448 | − | 0.103895i | ||||
\(546\) | −0.0996702 | − | 0.565258i | −0.00426549 | − | 0.0241908i | ||||
\(547\) | −7.45770 | + | 42.2947i | −0.318868 | + | 1.80839i | 0.230792 | + | 0.973003i | \(0.425868\pi\) |
−0.549660 | + | 0.835388i | \(0.685243\pi\) | |||||||
\(548\) | 12.8969 | + | 4.69410i | 0.550929 | + | 0.200522i | ||||
\(549\) | −2.43969 | + | 2.04715i | −0.104124 | + | 0.0873700i | ||||
\(550\) | −0.652704 | −0.0278314 | ||||||||
\(551\) | −4.21183 | + | 4.94507i | −0.179430 | + | 0.210667i | ||||
\(552\) | 3.92127 | 0.166901 | ||||||||
\(553\) | 5.55690 | − | 4.66280i | 0.236304 | − | 0.198282i | ||||
\(554\) | −27.4650 | − | 9.99643i | −1.16687 | − | 0.424708i | ||||
\(555\) | 0.233956 | − | 1.32683i | 0.00993086 | − | 0.0563207i | ||||
\(556\) | −3.08172 | − | 17.4773i | −0.130694 | − | 0.741202i | ||||
\(557\) | −27.7935 | + | 10.1160i | −1.17765 | + | 0.428630i | −0.855371 | − | 0.518015i | \(-0.826671\pi\) |
−0.322279 | + | 0.946645i | \(0.604449\pi\) | |||||||
\(558\) | 0.479055 | − | 0.829748i | 0.0202800 | − | 0.0351261i | ||||
\(559\) | −0.178396 | − | 0.308991i | −0.00754534 | − | 0.0130689i | ||||
\(560\) | 1.93969 | + | 1.62760i | 0.0819670 | + | 0.0687785i | ||||
\(561\) | 0.407604 | + | 0.342020i | 0.0172090 | + | 0.0144401i | ||||
\(562\) | −8.25490 | − | 14.2979i | −0.348212 | − | 0.603121i | ||||
\(563\) | −10.3241 | + | 17.8819i | −0.435110 | + | 0.753633i | −0.997305 | − | 0.0733721i | \(-0.976624\pi\) |
0.562194 | + | 0.827005i | \(0.309957\pi\) | |||||||
\(564\) | 7.44356 | − | 2.70924i | 0.313431 | − | 0.114079i | ||||
\(565\) | 2.55438 | + | 14.4866i | 0.107463 | + | 0.609456i | ||||
\(566\) | −0.331566 | + | 1.88041i | −0.0139368 | + | 0.0790394i | ||||
\(567\) | 2.37939 | + | 0.866025i | 0.0999248 | + | 0.0363696i | ||||
\(568\) | 7.07398 | − | 5.93577i | 0.296818 | − | 0.249059i | ||||
\(569\) | −8.50030 | −0.356351 | −0.178176 | − | 0.983999i | \(-0.557020\pi\) | ||||
−0.178176 | + | 0.983999i | \(0.557020\pi\) | |||||||
\(570\) | −3.79086 | + | 2.15160i | −0.158782 | + | 0.0901206i | ||||
\(571\) | 4.27900 | 0.179071 | 0.0895353 | − | 0.995984i | \(-0.471462\pi\) | ||||
0.0895353 | + | 0.995984i | \(0.471462\pi\) | |||||||
\(572\) | 0.113341 | − | 0.0951042i | 0.00473902 | − | 0.00397651i | ||||
\(573\) | 18.1322 | + | 6.59959i | 0.757485 | + | 0.275702i | ||||
\(574\) | 2.03936 | − | 11.5658i | 0.0851214 | − | 0.482747i | ||||
\(575\) | −0.680922 | − | 3.86170i | −0.0283964 | − | 0.161044i | ||||
\(576\) | −0.939693 | + | 0.342020i | −0.0391539 | + | 0.0142508i | ||||
\(577\) | −7.31449 | + | 12.6691i | −0.304506 | + | 0.527420i | −0.977151 | − | 0.212545i | \(-0.931825\pi\) |
0.672645 | + | 0.739965i | \(0.265158\pi\) | |||||||
\(578\) | 8.16772 | + | 14.1469i | 0.339732 | + | 0.588434i | ||||
\(579\) | −12.9743 | − | 10.8867i | −0.539194 | − | 0.452437i | ||||
\(580\) | 1.14156 | + | 0.957882i | 0.0474007 | + | 0.0397739i | ||||
\(581\) | 11.2981 | + | 19.5689i | 0.468726 | + | 0.811856i | ||||
\(582\) | −0.393933 | + | 0.682312i | −0.0163291 | + | 0.0282828i | ||||
\(583\) | −3.74510 | + | 1.36310i | −0.155106 | + | 0.0564540i | ||||
\(584\) | 1.88326 | + | 10.6805i | 0.0779297 | + | 0.441961i | ||||
\(585\) | 0.0393628 | − | 0.223238i | 0.00162745 | − | 0.00922975i | ||||
\(586\) | −2.67365 | − | 0.973128i | −0.110447 | − | 0.0401996i | ||||
\(587\) | 9.35432 | − | 7.84921i | 0.386094 | − | 0.323971i | −0.428995 | − | 0.903307i | \(-0.641132\pi\) |
0.815089 | + | 0.579335i | \(0.196688\pi\) | |||||||
\(588\) | 0.588526 | 0.0242704 | ||||||||
\(589\) | −3.60132 | − | 2.11472i | −0.148390 | − | 0.0871357i | ||||
\(590\) | 3.10607 | 0.127875 | ||||||||
\(591\) | −12.5116 | + | 10.4985i | −0.514659 | + | 0.431850i | ||||
\(592\) | −1.26604 | − | 0.460802i | −0.0520341 | − | 0.0189389i | ||||
\(593\) | 2.61169 | − | 14.8116i | 0.107249 | − | 0.608241i | −0.883049 | − | 0.469281i | \(-0.844513\pi\) |
0.990298 | − | 0.138960i | \(-0.0443759\pi\) | |||||||
\(594\) | 0.113341 | + | 0.642788i | 0.00465043 | + | 0.0263739i | ||||
\(595\) | −1.93969 | + | 0.705990i | −0.0795196 | + | 0.0289428i | ||||
\(596\) | −3.19594 | + | 5.53553i | −0.130911 | + | 0.226744i | ||||
\(597\) | 8.97818 | + | 15.5507i | 0.367452 | + | 0.636446i | ||||
\(598\) | 0.680922 | + | 0.571362i | 0.0278450 | + | 0.0233647i | ||||
\(599\) | 7.06805 | + | 5.93080i | 0.288793 | + | 0.242326i | 0.775661 | − | 0.631149i | \(-0.217417\pi\) |
−0.486869 | + | 0.873475i | \(0.661861\pi\) | |||||||
\(600\) | 0.500000 | + | 0.866025i | 0.0204124 | + | 0.0353553i | ||||
\(601\) | −11.4829 | + | 19.8890i | −0.468398 | + | 0.811290i | −0.999348 | − | 0.0361139i | \(-0.988502\pi\) |
0.530949 | + | 0.847404i | \(0.321835\pi\) | |||||||
\(602\) | −3.74510 | + | 1.36310i | −0.152639 | + | 0.0555560i | ||||
\(603\) | −0.156574 | − | 0.887975i | −0.00637619 | − | 0.0361612i | ||||
\(604\) | 1.84982 | − | 10.4909i | 0.0752682 | − | 0.426867i | ||||
\(605\) | −9.93629 | − | 3.61651i | −0.403968 | − | 0.147032i | ||||
\(606\) | 6.84002 | − | 5.73946i | 0.277857 | − | 0.233150i | ||||
\(607\) | 42.2559 | 1.71511 | 0.857557 | − | 0.514389i | \(-0.171981\pi\) | ||||
0.857557 | + | 0.514389i | \(0.171981\pi\) | |||||||
\(608\) | 1.46064 | + | 4.10689i | 0.0592367 | + | 0.166556i | ||||
\(609\) | −3.77332 | −0.152903 | ||||||||
\(610\) | 2.43969 | − | 2.04715i | 0.0987803 | − | 0.0828865i | ||||
\(611\) | 1.68732 | + | 0.614134i | 0.0682616 | + | 0.0248452i | ||||
\(612\) | 0.141559 | − | 0.802823i | 0.00572220 | − | 0.0324522i | ||||
\(613\) | −3.94010 | − | 22.3454i | −0.159139 | − | 0.902524i | −0.954903 | − | 0.296917i | \(-0.904042\pi\) |
0.795764 | − | 0.605607i | \(-0.207070\pi\) | |||||||
\(614\) | −5.19372 | + | 1.89036i | −0.209601 | + | 0.0762886i | ||||
\(615\) | 2.31908 | − | 4.01676i | 0.0935142 | − | 0.161971i | ||||
\(616\) | −0.826352 | − | 1.43128i | −0.0332947 | − | 0.0576680i | ||||
\(617\) | −4.67680 | − | 3.92430i | −0.188281 | − | 0.157987i | 0.543775 | − | 0.839231i | \(-0.316995\pi\) |
−0.732056 | + | 0.681245i | \(0.761439\pi\) | |||||||
\(618\) | 1.11927 | + | 0.939180i | 0.0450237 | + | 0.0377793i | ||||
\(619\) | −22.1536 | − | 38.3712i | −0.890430 | − | 1.54227i | −0.839361 | − | 0.543575i | \(-0.817070\pi\) |
−0.0510690 | − | 0.998695i | \(-0.516263\pi\) | |||||||
\(620\) | −0.479055 | + | 0.829748i | −0.0192393 | + | 0.0333235i | ||||
\(621\) | −3.68479 | + | 1.34115i | −0.147866 | + | 0.0538187i | ||||
\(622\) | −2.37433 | − | 13.4655i | −0.0952021 | − | 0.539918i | ||||
\(623\) | −6.64543 | + | 37.6881i | −0.266244 | + | 1.50994i | ||||
\(624\) | −0.213011 | − | 0.0775297i | −0.00852727 | − | 0.00310367i | ||||
\(625\) | 0.766044 | − | 0.642788i | 0.0306418 | − | 0.0257115i | ||||
\(626\) | −28.8949 | −1.15487 | ||||||||
\(627\) | 2.80541 | − | 0.473401i | 0.112037 | − | 0.0189058i | ||||
\(628\) | −11.4115 | −0.455367 | ||||||||
\(629\) | 0.841367 | − | 0.705990i | 0.0335475 | − | 0.0281497i | ||||
\(630\) | −2.37939 | − | 0.866025i | −0.0947970 | − | 0.0345033i | ||||
\(631\) | −8.49232 | + | 48.1623i | −0.338074 | + | 1.91731i | 0.0564082 | + | 0.998408i | \(0.482035\pi\) |
−0.394482 | + | 0.918904i | \(0.629076\pi\) | |||||||
\(632\) | −0.497474 | − | 2.82131i | −0.0197884 | − | 0.112226i | ||||
\(633\) | 22.2520 | − | 8.09905i | 0.884436 | − | 0.321908i | ||||
\(634\) | −0.266044 | + | 0.460802i | −0.0105660 | + | 0.0183008i | ||||
\(635\) | −0.0603074 | − | 0.104455i | −0.00239323 | − | 0.00414519i | ||||
\(636\) | 4.67752 | + | 3.92490i | 0.185476 | + | 0.155633i | ||||
\(637\) | 0.102196 | + | 0.0857530i | 0.00404917 | + | 0.00339766i | ||||
\(638\) | −0.486329 | − | 0.842347i | −0.0192540 | − | 0.0333488i | ||||
\(639\) | −4.61721 | + | 7.99724i | −0.182654 | + | 0.316366i | ||||
\(640\) | 0.939693 | − | 0.342020i | 0.0371446 | − | 0.0135195i | ||||
\(641\) | −3.38326 | − | 19.1874i | −0.133631 | − | 0.757857i | −0.975804 | − | 0.218649i | \(-0.929835\pi\) |
0.842173 | − | 0.539207i | \(-0.181276\pi\) | |||||||
\(642\) | −1.27332 | + | 7.22135i | −0.0502539 | + | 0.285004i | ||||
\(643\) | 37.1190 | + | 13.5102i | 1.46383 | + | 0.532791i | 0.946418 | − | 0.322945i | \(-0.104673\pi\) |
0.517413 | + | 0.855736i | \(0.326895\pi\) | |||||||
\(644\) | 7.60607 | − | 6.38225i | 0.299721 | − | 0.251496i | ||||
\(645\) | −1.57398 | −0.0619753 | ||||||||
\(646\) | −3.49479 | − | 0.642788i | −0.137500 | − | 0.0252901i | ||||
\(647\) | −8.23947 | −0.323927 | −0.161964 | − | 0.986797i | \(-0.551783\pi\) | ||||
−0.161964 | + | 0.986797i | \(0.551783\pi\) | |||||||
\(648\) | 0.766044 | − | 0.642788i | 0.0300931 | − | 0.0252511i | ||||
\(649\) | −1.90508 | − | 0.693392i | −0.0747808 | − | 0.0272180i | ||||
\(650\) | −0.0393628 | + | 0.223238i | −0.00154394 | + | 0.00875611i | ||||
\(651\) | −0.421274 | − | 2.38917i | −0.0165110 | − | 0.0936388i | ||||
\(652\) | −10.2836 | + | 3.74292i | −0.402736 | + | 0.146584i | ||||
\(653\) | 0.0368366 | − | 0.0638029i | 0.00144153 | − | 0.00249680i | −0.865304 | − | 0.501248i | \(-0.832874\pi\) |
0.866745 | + | 0.498751i | \(0.166208\pi\) | |||||||
\(654\) | 3.54576 | + | 6.14144i | 0.138650 | + | 0.240149i | ||||
\(655\) | −7.53983 | − | 6.32667i | −0.294606 | − | 0.247203i | ||||
\(656\) | −3.55303 | − | 2.98135i | −0.138723 | − | 0.116402i | ||||
\(657\) | −5.42262 | − | 9.39225i | −0.211556 | − | 0.366427i | ||||
\(658\) | 10.0287 | − | 17.3702i | 0.390959 | − | 0.677161i | ||||
\(659\) | −30.6634 | + | 11.1606i | −1.19448 | + | 0.434754i | −0.861294 | − | 0.508107i | \(-0.830345\pi\) |
−0.333184 | + | 0.942862i | \(0.608123\pi\) | |||||||
\(660\) | −0.113341 | − | 0.642788i | −0.00441178 | − | 0.0250205i | ||||
\(661\) | 3.53508 | − | 20.0484i | 0.137499 | − | 0.779794i | −0.835588 | − | 0.549356i | \(-0.814873\pi\) |
0.973087 | − | 0.230438i | \(-0.0740159\pi\) | |||||||
\(662\) | −13.8157 | − | 5.02849i | −0.536961 | − | 0.195438i | ||||
\(663\) | 0.141559 | − | 0.118782i | 0.00549771 | − | 0.00461312i | ||||
\(664\) | 8.92396 | 0.346317 | ||||||||
\(665\) | −3.85117 | + | 10.3434i | −0.149342 | + | 0.401101i | ||||
\(666\) | 1.34730 | 0.0522067 | ||||||||
\(667\) | 4.47637 | − | 3.75612i | 0.173326 | − | 0.145437i | ||||
\(668\) | 11.5223 | + | 4.19377i | 0.445811 | + | 0.162262i | ||||
\(669\) | 0.0132037 | − | 0.0748822i | 0.000510486 | − | 0.00289511i | ||||
\(670\) | 0.156574 | + | 0.887975i | 0.00604898 | + | 0.0343055i | ||||
\(671\) | −1.95336 | + | 0.710966i | −0.0754087 | + | 0.0274465i | ||||
\(672\) | −1.26604 | + | 2.19285i | −0.0488387 | + | 0.0845912i | ||||
\(673\) | 13.1471 | + | 22.7714i | 0.506783 | + | 0.877773i | 0.999969 | + | 0.00784970i | \(0.00249866\pi\) |
−0.493187 | + | 0.869924i | \(0.664168\pi\) | |||||||
\(674\) | −0.445622 | − | 0.373922i | −0.0171647 | − | 0.0144029i | ||||
\(675\) | −0.766044 | − | 0.642788i | −0.0294851 | − | 0.0247409i | ||||
\(676\) | 6.47431 | + | 11.2138i | 0.249012 | + | 0.431301i | ||||
\(677\) | −14.0025 | + | 24.2531i | −0.538161 | + | 0.932122i | 0.460842 | + | 0.887482i | \(0.347547\pi\) |
−0.999003 | + | 0.0446398i | \(0.985786\pi\) | |||||||
\(678\) | −13.8229 | + | 5.03114i | −0.530867 | + | 0.193220i | ||||
\(679\) | 0.346419 | + | 1.96464i | 0.0132943 | + | 0.0753960i | ||||
\(680\) | −0.141559 | + | 0.802823i | −0.00542855 | + | 0.0307868i | ||||
\(681\) | 11.2185 | + | 4.08321i | 0.429895 | + | 0.156469i | ||||
\(682\) | 0.479055 | − | 0.401975i | 0.0183440 | − | 0.0153924i | ||||
\(683\) | −26.3651 | −1.00883 | −0.504417 | − | 0.863460i | \(-0.668293\pi\) | ||||
−0.504417 | + | 0.863460i | \(0.668293\pi\) | |||||||
\(684\) | −2.77719 | − | 3.35965i | −0.106188 | − | 0.128459i | ||||
\(685\) | 13.7246 | 0.524391 | ||||||||
\(686\) | 14.7194 | − | 12.3510i | 0.561990 | − | 0.471565i | ||||
\(687\) | 16.4731 | + | 5.99573i | 0.628489 | + | 0.228751i | ||||
\(688\) | −0.273318 | + | 1.55007i | −0.0104202 | + | 0.0590957i | ||||
\(689\) | 0.240352 | + | 1.36310i | 0.00915669 | + | 0.0519302i | ||||
\(690\) | 3.68479 | − | 1.34115i | 0.140278 | − | 0.0510569i | ||||
\(691\) | 0.752374 | − | 1.30315i | 0.0286217 | − | 0.0495742i | −0.851360 | − | 0.524582i | \(-0.824222\pi\) |
0.879981 | + | 0.475008i | \(0.157555\pi\) | |||||||
\(692\) | 0.169778 | + | 0.294064i | 0.00645398 | + | 0.0111786i | ||||
\(693\) | 1.26604 | + | 1.06234i | 0.0480931 | + | 0.0403549i | ||||
\(694\) | −24.5009 | − | 20.5587i | −0.930043 | − | 0.780399i | ||||
\(695\) | −8.87346 | − | 15.3693i | −0.336589 | − | 0.582990i | ||||
\(696\) | −0.745100 | + | 1.29055i | −0.0282429 | + | 0.0489182i | ||||
\(697\) | 3.55303 | − | 1.29320i | 0.134581 | − | 0.0489834i | ||||
\(698\) | 3.10653 | + | 17.6180i | 0.117584 | + | 0.666852i | ||||
\(699\) | 4.79561 | − | 27.1972i | 0.181387 | − | 1.02869i | ||||
\(700\) | 2.37939 | + | 0.866025i | 0.0899323 | + | 0.0327327i | ||||
\(701\) | −2.54988 | + | 2.13960i | −0.0963076 | + | 0.0808116i | −0.689670 | − | 0.724124i | \(-0.742244\pi\) |
0.593363 | + | 0.804935i | \(0.297800\pi\) | |||||||
\(702\) | 0.226682 | 0.00855555 | ||||||||
\(703\) | 0.0432332 | − | 5.87257i | 0.00163057 | − | 0.221488i | ||||
\(704\) | −0.652704 | −0.0245997 | ||||||||
\(705\) | 6.06805 | − | 5.09170i | 0.228536 | − | 0.191764i | ||||
\(706\) | −0.0145479 | − | 0.00529501i | −0.000547518 | − | 0.000199280i | ||||
\(707\) | 3.92602 | − | 22.2656i | 0.147653 | − | 0.837383i | ||||
\(708\) | 0.539363 | + | 3.05888i | 0.0202705 | + | 0.114960i | ||||
\(709\) | 42.1117 | − | 15.3274i | 1.58154 | − | 0.575633i | 0.606002 | − | 0.795463i | \(-0.292772\pi\) |
0.975538 | + | 0.219830i | \(0.0705502\pi\) | |||||||
\(710\) | 4.61721 | − | 7.99724i | 0.173281 | − | 0.300131i | ||||
\(711\) | 1.43242 | + | 2.48102i | 0.0537199 | + | 0.0930456i | ||||
\(712\) | 11.5778 | + | 9.71497i | 0.433898 | + | 0.364084i | ||||
\(713\) | 2.87804 | + | 2.41496i | 0.107783 | + | 0.0904411i | ||||
\(714\) | −1.03209 | − | 1.78763i | −0.0386250 | − | 0.0669004i | ||||
\(715\) | 0.0739780 | − | 0.128134i | 0.00276662 | − | 0.00479192i | ||||
\(716\) | −13.7297 | + | 4.99719i | −0.513102 | + | 0.186754i | ||||
\(717\) | −3.59539 | − | 20.3905i | −0.134272 | − | 0.761496i | ||||
\(718\) | 3.17230 | − | 17.9910i | 0.118389 | − | 0.671419i | ||||
\(719\) | −41.7533 | − | 15.1970i | −1.55714 | − | 0.566751i | −0.587058 | − | 0.809545i | \(-0.699714\pi\) |
−0.970078 | + | 0.242794i | \(0.921936\pi\) | |||||||
\(720\) | −0.766044 | + | 0.642788i | −0.0285488 | + | 0.0239553i | ||||
\(721\) | 3.69965 | 0.137782 | ||||||||
\(722\) | −14.7331 | + | 11.9973i | −0.548308 | + | 0.446495i | ||||
\(723\) | −12.9581 | −0.481917 | ||||||||
\(724\) | 4.07532 | − | 3.41960i | 0.151458 | − | 0.127088i | ||||
\(725\) | 1.40033 | + | 0.509678i | 0.0520069 | + | 0.0189290i | ||||
\(726\) | 1.83615 | − | 10.4133i | 0.0681460 | − | 0.386475i | ||||
\(727\) | 1.49676 | + | 8.48854i | 0.0555117 | + | 0.314823i | 0.999902 | − | 0.0140043i | \(-0.00445786\pi\) |
−0.944390 | + | 0.328827i | \(0.893347\pi\) | |||||||
\(728\) | −0.539363 | + | 0.196312i | −0.0199901 | + | 0.00727581i | ||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | 5.42262 | + | 9.39225i | 0.200700 | + | 0.347623i | ||||
\(731\) | −0.982926 | − | 0.824773i | −0.0363548 | − | 0.0305053i | ||||
\(732\) | 2.43969 | + | 2.04715i | 0.0901736 | + | 0.0756647i | ||||
\(733\) | 2.12495 | + | 3.68052i | 0.0784869 | + | 0.135943i | 0.902597 | − | 0.430486i | \(-0.141658\pi\) |
−0.824110 | + | 0.566429i | \(0.808324\pi\) | |||||||
\(734\) | −4.55303 | + | 7.88609i | −0.168056 | + | 0.291081i | ||||
\(735\) | 0.553033 | − | 0.201288i | 0.0203989 | − | 0.00742461i | ||||
\(736\) | −0.680922 | − | 3.86170i | −0.0250991 | − | 0.142344i | ||||
\(737\) | 0.102196 | − | 0.579585i | 0.00376445 | − | 0.0213493i | ||||
\(738\) | 4.35844 | + | 1.58634i | 0.160436 | + | 0.0583941i | ||||
\(739\) | −5.48474 | + | 4.60224i | −0.201759 | + | 0.169296i | −0.738069 | − | 0.674725i | \(-0.764262\pi\) |
0.536310 | + | 0.844021i | \(0.319818\pi\) | |||||||
\(740\) | −1.34730 | −0.0495276 | ||||||||
\(741\) | 0.00727396 | − | 0.988055i | 0.000267216 | − | 0.0362971i | ||||
\(742\) | 15.4611 | 0.567595 | ||||||||
\(743\) | −12.8136 | + | 10.7519i | −0.470086 | + | 0.394449i | −0.846826 | − | 0.531870i | \(-0.821489\pi\) |
0.376740 | + | 0.926319i | \(0.377045\pi\) | |||||||
\(744\) | −0.900330 | − | 0.327693i | −0.0330077 | − | 0.0120138i | ||||
\(745\) | −1.10994 | + | 6.29477i | −0.0406650 | + | 0.230622i | ||||
\(746\) | 0.00845601 | + | 0.0479564i | 0.000309596 | + | 0.00175581i | ||||
\(747\) | −8.38578 | + | 3.05217i | −0.306820 | + | 0.111673i | ||||
\(748\) | 0.266044 | − | 0.460802i | 0.00972755 | − | 0.0168486i | ||||
\(749\) | 9.28359 | + | 16.0796i | 0.339215 | + | 0.587537i | ||||
\(750\) | 0.766044 | + | 0.642788i | 0.0279720 | + | 0.0234713i | ||||
\(751\) | 0.611281 | + | 0.512926i | 0.0223060 | + | 0.0187169i | 0.653872 | − | 0.756605i | \(-0.273143\pi\) |
−0.631566 | + | 0.775322i | \(0.717588\pi\) | |||||||
\(752\) | −3.96064 | − | 6.86002i | −0.144430 | − | 0.250159i | ||||
\(753\) | 3.69594 | − | 6.40155i | 0.134687 | − | 0.233285i | ||||
\(754\) | −0.317429 | + | 0.115535i | −0.0115601 | + | 0.00420753i | ||||
\(755\) | −1.84982 | − | 10.4909i | −0.0673219 | − | 0.381802i | ||||
\(756\) | 0.439693 | − | 2.49362i | 0.0159915 | − | 0.0906921i | ||||
\(757\) | 19.3109 | + | 7.02860i | 0.701868 | + | 0.255459i | 0.668208 | − | 0.743974i | \(-0.267062\pi\) |
0.0336595 | + | 0.999433i | \(0.489284\pi\) | |||||||
\(758\) | 16.5378 | − | 13.8768i | 0.600679 | − | 0.504029i | ||||
\(759\) | −2.55943 | −0.0929014 | ||||||||
\(760\) | 2.77719 | + | 3.35965i | 0.100739 | + | 0.121867i | ||||
\(761\) | 17.7110 | 0.642024 | 0.321012 | − | 0.947075i | \(-0.395977\pi\) | ||||
0.321012 | + | 0.947075i | \(0.395977\pi\) | |||||||
\(762\) | 0.0923963 | − | 0.0775297i | 0.00334716 | − | 0.00280860i | ||||
\(763\) | 16.8735 | + | 6.14144i | 0.610860 | + | 0.222335i | ||||
\(764\) | 3.35070 | − | 19.0028i | 0.121224 | − | 0.687496i | ||||
\(765\) | −0.141559 | − | 0.802823i | −0.00511809 | − | 0.0290261i | ||||
\(766\) | 4.53462 | − | 1.65046i | 0.163842 | − | 0.0596337i | ||||
\(767\) | −0.352044 | + | 0.609758i | −0.0127116 | + | 0.0220171i | ||||
\(768\) | 0.500000 | + | 0.866025i | 0.0180422 | + | 0.0312500i | ||||
\(769\) | 6.04891 | + | 5.07564i | 0.218129 | + | 0.183032i | 0.745304 | − | 0.666725i | \(-0.232304\pi\) |
−0.527175 | + | 0.849757i | \(0.676749\pi\) | |||||||
\(770\) | −1.26604 | − | 1.06234i | −0.0456251 | − | 0.0382840i | ||||
\(771\) | 0.311337 | + | 0.539252i | 0.0112125 | + | 0.0194207i | ||||
\(772\) | −8.46838 | + | 14.6677i | −0.304784 | + | 0.527901i | ||||
\(773\) | 2.37299 | − | 0.863697i | 0.0853505 | − | 0.0310650i | −0.298992 | − | 0.954256i | \(-0.596650\pi\) |
0.384342 | + | 0.923191i | \(0.374428\pi\) | |||||||
\(774\) | −0.273318 | − | 1.55007i | −0.00982423 | − | 0.0557160i | ||||
\(775\) | −0.166374 | + | 0.943555i | −0.00597634 | + | 0.0338935i | ||||
\(776\) | 0.740352 | + | 0.269466i | 0.0265771 | + | 0.00967327i | ||||
\(777\) | 2.61334 | − | 2.19285i | 0.0937531 | − | 0.0786682i | ||||
\(778\) | 17.8794 | 0.641007 | ||||||||
\(779\) | 7.05438 | − | 18.9466i | 0.252749 | − | 0.678832i | ||||
\(780\) | −0.226682 | −0.00811650 | ||||||||
\(781\) | −4.61721 | + | 3.87430i | −0.165217 | + | 0.138633i | ||||
\(782\) | 3.00387 | + | 1.09332i | 0.107418 | + | 0.0390970i | ||||
\(783\) | 0.258770 | − | 1.46756i | 0.00924770 | − | 0.0524463i | ||||
\(784\) | −0.102196 | − | 0.579585i | −0.00364987 | − | 0.0206995i | ||||
\(785\) | −10.7233 | + | 3.90295i | −0.382730 | + | 0.139302i | ||||
\(786\) | 4.92127 | − | 8.52390i | 0.175536 | − | 0.304037i | ||||
\(787\) | 1.14883 | + | 1.98984i | 0.0409515 | + | 0.0709300i | 0.885775 | − | 0.464116i | \(-0.153628\pi\) |
−0.844823 | + | 0.535046i | \(0.820294\pi\) | |||||||
\(788\) | 12.5116 | + | 10.4985i | 0.445708 | + | 0.373993i | ||||
\(789\) | −2.95084 | − | 2.47605i | −0.105053 | − | 0.0881496i | ||||
\(790\) | −1.43242 | − | 2.48102i | −0.0509632 | − | 0.0882708i | ||||
\(791\) | −18.6236 | + | 32.2570i | −0.662179 | + | 1.14693i | ||||
\(792\) | 0.613341 | − | 0.223238i | 0.0217941 | − | 0.00793241i | ||||
\(793\) | 0.125362 | + | 0.710966i | 0.00445175 | + | 0.0252471i | ||||
\(794\) | −5.79607 | + | 32.8712i | −0.205695 | + | 1.16655i | ||||
\(795\) | 5.73783 | + | 2.08840i | 0.203500 | + | 0.0740678i | ||||
\(796\) | 13.7554 | − | 11.5421i | 0.487546 | − | 0.409100i | ||||
\(797\) | −6.78013 | −0.240164 | −0.120082 | − | 0.992764i | \(-0.538316\pi\) | ||||
−0.120082 | + | 0.992764i | \(0.538316\pi\) | |||||||
\(798\) | −10.8550 | − | 1.99654i | −0.384264 | − | 0.0706768i | ||||
\(799\) | 6.45748 | 0.228449 | ||||||||
\(800\) | 0.766044 | − | 0.642788i | 0.0270838 | − | 0.0227260i | ||||
\(801\) | −14.2023 | − | 5.16923i | −0.501815 | − | 0.182646i | ||||
\(802\) | 5.01589 | − | 28.4465i | 0.177117 | − | 1.00448i | ||||
\(803\) | −1.22921 | − | 6.97118i | −0.0433778 | − | 0.246008i | ||||
\(804\) | −0.847296 | + | 0.308391i | −0.0298818 | + | 0.0108761i | ||||
\(805\) | 4.96451 | − | 8.59878i | 0.174976 | − | 0.303067i | ||||
\(806\) | −0.108593 | − | 0.188089i | −0.00382503 | − | 0.00662514i | ||||
\(807\) | −8.69253 | − | 7.29390i | −0.305992 | − | 0.256757i | ||||
\(808\) | −6.84002 | − | 5.73946i | −0.240631 | − | 0.201914i | ||||
\(809\) | 8.21823 | + | 14.2344i | 0.288937 | + | 0.500454i | 0.973556 | − | 0.228447i | \(-0.0733647\pi\) |
−0.684619 | + | 0.728901i | \(0.740031\pi\) | |||||||
\(810\) | 0.500000 | − | 0.866025i | 0.0175682 | − | 0.0304290i | ||||
\(811\) | 29.1758 | − | 10.6191i | 1.02450 | − | 0.372887i | 0.225516 | − | 0.974240i | \(-0.427593\pi\) |
0.798984 | + | 0.601352i | \(0.205371\pi\) | |||||||
\(812\) | 0.655230 | + | 3.71599i | 0.0229941 | + | 0.130406i | ||||
\(813\) | 1.76470 | − | 10.0081i | 0.0618907 | − | 0.351000i | ||||
\(814\) | 0.826352 | + | 0.300767i | 0.0289636 | + | 0.0105419i | ||||
\(815\) | −8.38326 | + | 7.03439i | −0.293653 | + | 0.246404i | ||||
\(816\) | −0.815207 | −0.0285380 | ||||||||
\(817\) | −6.76517 | + | 1.14160i | −0.236683 | + | 0.0399394i | ||||
\(818\) | 25.1976 | 0.881013 | ||||||||
\(819\) | 0.439693 | − | 0.368946i | 0.0153641 | − | 0.0128920i | ||||
\(820\) | −4.35844 | − | 1.58634i | −0.152203 | − | 0.0553975i | ||||
\(821\) | 5.28317 | − | 29.9624i | 0.184384 | − | 1.04569i | −0.742360 | − | 0.670001i | \(-0.766294\pi\) |
0.926744 | − | 0.375693i | \(-0.122595\pi\) | |||||||
\(822\) | 2.38326 | + | 13.5161i | 0.0831256 | + | 0.471429i | ||||
\(823\) | 28.8273 | − | 10.4923i | 1.00486 | − | 0.365738i | 0.213401 | − | 0.976965i | \(-0.431546\pi\) |
0.791455 | + | 0.611227i | \(0.209324\pi\) | |||||||
\(824\) | 0.730552 | − | 1.26535i | 0.0254500 | − | 0.0440807i | ||||
\(825\) | −0.326352 | − | 0.565258i | −0.0113621 | − | 0.0196798i | ||||
\(826\) | 6.02481 | + | 5.05542i | 0.209630 | + | 0.175901i | ||||
\(827\) | −23.2683 | − | 19.5244i | −0.809119 | − | 0.678931i | 0.141278 | − | 0.989970i | \(-0.454879\pi\) |
−0.950397 | + | 0.311039i | \(0.899323\pi\) | |||||||
\(828\) | 1.96064 | + | 3.39592i | 0.0681369 | + | 0.118016i | ||||
\(829\) | 0.687786 | − | 1.19128i | 0.0238878 | − | 0.0413748i | −0.853834 | − | 0.520545i | \(-0.825729\pi\) |
0.877722 | + | 0.479170i | \(0.159062\pi\) | |||||||
\(830\) | 8.38578 | − | 3.05217i | 0.291075 | − | 0.105943i | ||||
\(831\) | −5.07532 | − | 28.7836i | −0.176061 | − | 0.998491i | ||||
\(832\) | −0.0393628 | + | 0.223238i | −0.00136466 | + | 0.00773938i | ||||
\(833\) | 0.450837 | + | 0.164091i | 0.0156206 | + | 0.00568542i | ||||
\(834\) | 13.5949 | − | 11.4075i | 0.470754 | − | 0.395009i | ||||
\(835\) | 12.2618 | 0.424336 | ||||||||
\(836\) | −0.953363 | − | 2.68058i | −0.0329728 | − | 0.0927099i | ||||
\(837\) | 0.958111 | 0.0331172 | ||||||||
\(838\) | 4.33931 | − | 3.64111i | 0.149899 | − | 0.125780i | ||||
\(839\) | −19.9577 | − | 7.26401i | −0.689016 | − | 0.250781i | −0.0263023 | − | 0.999654i | \(-0.508373\pi\) |
−0.662714 | + | 0.748873i | \(0.730595\pi\) | |||||||
\(840\) | −0.439693 | + | 2.49362i | −0.0151708 | + | 0.0860381i | ||||
\(841\) | −4.65018 | − | 26.3725i | −0.160351 | − | 0.909395i | ||||
\(842\) | −22.8542 | + | 8.31823i | −0.787606 | + | 0.286665i | ||||
\(843\) | 8.25490 | − | 14.2979i | 0.284314 | − | 0.492446i | ||||
\(844\) | −11.8400 | − | 20.5075i | −0.407550 | − | 0.705898i | ||||
\(845\) | 9.91921 | + | 8.32321i | 0.341231 | + | 0.286327i | ||||
\(846\) | 6.06805 | + | 5.09170i | 0.208624 | + | 0.175056i | ||||
\(847\) | −13.3871 | − | 23.1872i | −0.459987 | − | 0.796721i | ||||
\(848\) | 3.05303 | − | 5.28801i | 0.104842 | − | 0.181591i | ||||
\(849\) | −1.79426 | + | 0.653058i | −0.0615789 | + | 0.0224129i | ||||
\(850\) | 0.141559 | + | 0.802823i | 0.00485544 | + | 0.0275366i | ||||
\(851\) | −0.917404 | + | 5.20286i | −0.0314482 | + | 0.178352i | ||||
\(852\) | 8.67752 | + | 3.15836i | 0.297287 | + | 0.108204i | ||||
\(853\) | 24.1728 | − | 20.2834i | 0.827660 | − | 0.694489i | −0.127093 | − | 0.991891i | \(-0.540565\pi\) |
0.954752 | + | 0.297402i | \(0.0961201\pi\) | |||||||
\(854\) | 8.06418 | 0.275950 | ||||||||
\(855\) | −3.75877 | − | 2.20718i | −0.128547 | − | 0.0754840i | ||||
\(856\) | 7.33275 | 0.250628 | ||||||||
\(857\) | 32.1937 | − | 27.0137i | 1.09972 | − | 0.922772i | 0.102310 | − | 0.994753i | \(-0.467377\pi\) |
0.997406 | + | 0.0719809i | \(0.0229321\pi\) | |||||||
\(858\) | 0.139033 | + | 0.0506039i | 0.00474651 | + | 0.00172759i | ||||
\(859\) | 3.95084 | − | 22.4063i | 0.134801 | − | 0.764493i | −0.840197 | − | 0.542281i | \(-0.817561\pi\) |
0.974998 | − | 0.222213i | \(-0.0713279\pi\) | |||||||
\(860\) | 0.273318 | + | 1.55007i | 0.00932008 | + | 0.0528568i | ||||
\(861\) | 11.0360 | − | 4.01676i | 0.376104 | − | 0.136891i | ||||
\(862\) | −14.4902 | + | 25.0978i | −0.493538 | + | 0.854833i | ||||
\(863\) | 6.04189 | + | 10.4649i | 0.205668 | + | 0.356228i | 0.950345 | − | 0.311197i | \(-0.100730\pi\) |
−0.744677 | + | 0.667425i | \(0.767397\pi\) | |||||||
\(864\) | −0.766044 | − | 0.642788i | −0.0260614 | − | 0.0218681i | ||||
\(865\) | 0.260115 | + | 0.218262i | 0.00884416 | + | 0.00742113i | ||||
\(866\) | −4.47906 | − | 7.75795i | −0.152205 | − | 0.263626i | ||||
\(867\) | −8.16772 | + | 14.1469i | −0.277390 | + | 0.480454i | ||||
\(868\) | −2.27972 | + | 0.829748i | −0.0773786 | + | 0.0281635i | ||||
\(869\) | 0.324703 | + | 1.84148i | 0.0110148 | + | 0.0624680i | ||||
\(870\) | −0.258770 | + | 1.46756i | −0.00877314 | + | 0.0497550i | ||||
\(871\) | −0.192066 | − | 0.0699065i | −0.00650792 | − | 0.00236869i | ||||
\(872\) | 5.43242 | − | 4.55834i | 0.183965 | − | 0.154365i | ||||
\(873\) | −0.787866 | −0.0266652 | ||||||||
\(874\) | 14.8650 | − | 8.43702i | 0.502816 | − | 0.285386i | ||||
\(875\) | 2.53209 | 0.0856002 | ||||||||
\(876\) | −8.30793 | + | 6.97118i | −0.280699 | + | 0.235534i | ||||
\(877\) | 35.4487 | + | 12.9023i | 1.19702 | + | 0.435678i | 0.862182 | − | 0.506599i | \(-0.169097\pi\) |
0.334835 | + | 0.942277i | \(0.391320\pi\) | |||||||
\(878\) | −4.06371 | + | 23.0465i | −0.137144 | + | 0.777780i | ||||
\(879\) | −0.494070 | − | 2.80201i | −0.0166646 | − | 0.0945095i | ||||
\(880\) | −0.613341 | + | 0.223238i | −0.0206757 | + | 0.00752534i | ||||
\(881\) | −2.39899 | + | 4.15516i | −0.0808239 | + | 0.139991i | −0.903604 | − | 0.428369i | \(-0.859088\pi\) |
0.822780 | + | 0.568360i | \(0.192422\pi\) | |||||||
\(882\) | 0.294263 | + | 0.509678i | 0.00990835 | + | 0.0171618i | ||||
\(883\) | −40.8489 | − | 34.2763i | −1.37468 | − | 1.15349i | −0.971135 | − | 0.238529i | \(-0.923335\pi\) |
−0.403541 | − | 0.914962i | \(-0.632221\pi\) | |||||||
\(884\) | −0.141559 | − | 0.118782i | −0.00476115 | − | 0.00399508i | ||||
\(885\) | 1.55303 | + | 2.68993i | 0.0522046 | + | 0.0904211i | ||||
\(886\) | 15.7344 | − | 27.2528i | 0.528608 | − | 0.915576i | ||||
\(887\) | 18.6582 | − | 6.79104i | 0.626482 | − | 0.228021i | −0.00921749 | − | 0.999958i | \(-0.502934\pi\) |
0.635699 | + | 0.771937i | \(0.280712\pi\) | |||||||
\(888\) | −0.233956 | − | 1.32683i | −0.00785103 | − | 0.0445254i | ||||
\(889\) | 0.0530334 | − | 0.300767i | 0.00177868 | − | 0.0100874i | ||||
\(890\) | 14.2023 | + | 5.16923i | 0.476063 | + | 0.173273i | ||||
\(891\) | −0.500000 | + | 0.419550i | −0.0167506 | + | 0.0140554i | ||||
\(892\) | −0.0760373 | −0.00254592 | ||||||||
\(893\) | 22.3883 | − | 26.2859i | 0.749196 | − | 0.879624i | ||||
\(894\) | −6.39187 | −0.213776 | ||||||||
\(895\) | −11.1925 | + | 9.39165i | −0.374125 | + | 0.313928i | ||||
\(896\) | 2.37939 | + | 0.866025i | 0.0794897 | + | 0.0289319i | ||||
\(897\) | −0.154353 | + | 0.875377i | −0.00515368 | + | 0.0292280i | ||||
\(898\) | 2.35158 | + | 13.3365i | 0.0784731 | + | 0.445043i | ||||
\(899\) | −1.34167 | + | 0.488328i | −0.0447472 | + | 0.0162867i | ||||
\(900\) | −0.500000 | + | 0.866025i | −0.0166667 | + | 0.0288675i | ||||
\(901\) | 2.48886 | + | 4.31082i | 0.0829158 | + | 0.143614i | ||||
\(902\) | 2.31908 | + | 1.94594i | 0.0772168 | + | 0.0647926i | ||||
\(903\) | −3.05303 | − | 2.56180i | −0.101599 | − | 0.0852513i | ||||
\(904\) | 7.35504 | + | 12.7393i | 0.244625 | + | 0.423703i | ||||
\(905\) | 2.65998 | − | 4.60722i | 0.0884206 | − | 0.153149i | ||||
\(906\) | 10.0103 | − | 3.64344i | 0.332569 | − | 0.121045i | ||||
\(907\) | −7.89693 | − | 44.7857i | −0.262213 | − | 1.48708i | −0.776855 | − | 0.629679i | \(-0.783186\pi\) |
0.514642 | − | 0.857405i | \(-0.327925\pi\) | |||||||
\(908\) | 2.07310 | − | 11.7571i | 0.0687983 | − | 0.390174i | ||||
\(909\) | 8.39053 | + | 3.05390i | 0.278296 | + | 0.101292i | ||||
\(910\) | −0.439693 | + | 0.368946i | −0.0145757 | + | 0.0122304i | ||||
\(911\) | −33.7033 | −1.11664 | −0.558320 | − | 0.829626i | \(-0.688554\pi\) | ||||
−0.558320 | + | 0.829626i | \(0.688554\pi\) | |||||||
\(912\) | −2.82635 | + | 3.31839i | −0.0935899 | + | 0.109883i | ||||
\(913\) | −5.82470 | −0.192770 | ||||||||
\(914\) | −13.7271 | + | 11.5184i | −0.454054 | + | 0.380996i | ||||
\(915\) | 2.99273 | + | 1.08926i | 0.0989365 | + | 0.0360099i | ||||
\(916\) | 3.04411 | − | 17.2640i | 0.100580 | − | 0.570419i | ||||
\(917\) | −4.32770 | − | 24.5436i | −0.142913 | − | 0.810501i | ||||
\(918\) | 0.766044 | − | 0.278817i | 0.0252832 | − | 0.00920234i | ||||
\(919\) | 7.00253 | − | 12.1287i | 0.230992 | − | 0.400090i | −0.727108 | − | 0.686523i | \(-0.759136\pi\) |
0.958100 | + | 0.286433i | \(0.0924695\pi\) | |||||||
\(920\) | −1.96064 | − | 3.39592i | −0.0646403 | − | 0.111960i | ||||
\(921\) | −4.23396 | − | 3.55271i | −0.139514 | − | 0.117066i | ||||
\(922\) | −18.8314 | − | 15.8014i | −0.620179 | − | 0.520392i | ||||
\(923\) | 1.04664 | + | 1.81283i | 0.0344505 | + | 0.0596700i | ||||
\(924\) | 0.826352 | − | 1.43128i | 0.0271850 | − | 0.0470858i | ||||
\(925\) | −1.26604 | + | 0.460802i | −0.0416273 | + | 0.0151511i | ||||
\(926\) | 3.80763 | + | 21.5941i | 0.125126 | + | 0.709627i | ||||
\(927\) | −0.253718 | + | 1.43891i | −0.00833319 | + | 0.0472599i | ||||
\(928\) | 1.40033 | + | 0.509678i | 0.0459681 | + | 0.0167310i | ||||
\(929\) | 28.5815 | − | 23.9827i | 0.937728 | − | 0.786847i | −0.0394608 | − | 0.999221i | \(-0.512564\pi\) |
0.977188 | + | 0.212374i | \(0.0681196\pi\) | |||||||
\(930\) | −0.958111 | −0.0314177 | ||||||||
\(931\) | 2.23102 | − | 1.26627i | 0.0731187 | − | 0.0415004i | ||||
\(932\) | −27.6168 | −0.904618 | ||||||||
\(933\) | 10.4743 | − | 8.78899i | 0.342913 | − | 0.287739i | ||||
\(934\) | −17.9979 | − | 6.55071i | −0.588911 | − | 0.214346i | ||||
\(935\) | 0.0923963 | − | 0.524005i | 0.00302168 | − | 0.0171368i | ||||
\(936\) | −0.0393628 | − | 0.223238i | −0.00128661 | − | 0.00729676i | ||||
\(937\) | 14.2258 | − | 5.17777i | 0.464737 | − | 0.169150i | −0.0990299 | − | 0.995084i | \(-0.531574\pi\) |
0.563767 | + | 0.825934i | \(0.309352\pi\) | |||||||
\(938\) | −1.14156 | + | 1.97724i | −0.0372732 | + | 0.0645591i | ||||
\(939\) | −14.4474 | − | 25.0237i | −0.471474 | − | 0.816617i | ||||
\(940\) | −6.06805 | − | 5.09170i | −0.197918 | − | 0.166073i | ||||
\(941\) | 16.6009 | + | 13.9298i | 0.541172 | + | 0.454097i | 0.871939 | − | 0.489615i | \(-0.162863\pi\) |
−0.330766 | + | 0.943713i | \(0.607307\pi\) | |||||||
\(942\) | −5.70574 | − | 9.88263i | −0.185903 | − | 0.321993i | ||||
\(943\) | −9.09374 | + | 15.7508i | −0.296133 | + | 0.512917i | ||||
\(944\) | 2.91875 | − | 1.06234i | 0.0949972 | − | 0.0345761i | ||||
\(945\) | −0.439693 | − | 2.49362i | −0.0143032 | − | 0.0811175i | ||||
\(946\) | 0.178396 | − | 1.01173i | 0.00580015 | − | 0.0328943i | ||||
\(947\) | −22.9748 | − | 8.36213i | −0.746580 | − | 0.271733i | −0.0594140 | − | 0.998233i | \(-0.518923\pi\) |
−0.687166 | + | 0.726501i | \(0.741145\pi\) | |||||||
\(948\) | 2.19459 | − | 1.84148i | 0.0712771 | − | 0.0598086i | ||||
\(949\) | −2.45842 | −0.0798035 | ||||||||
\(950\) | 3.75877 | + | 2.20718i | 0.121951 | + | 0.0716104i | ||||
\(951\) | −0.532089 | −0.0172542 | ||||||||
\(952\) | −1.58125 | + | 1.32683i | −0.0512487 | + | 0.0430027i | ||||
\(953\) | −40.9013 | − | 14.8868i | −1.32492 | − | 0.482232i | −0.419890 | − | 0.907575i | \(-0.637931\pi\) |
−0.905032 | + | 0.425343i | \(0.860153\pi\) | |||||||
\(954\) | −1.06031 | + | 6.01330i | −0.0343287 | + | 0.194688i | ||||
\(955\) | −3.35070 | − | 19.0028i | −0.108426 | − | 0.614915i | ||||
\(956\) | −19.4564 | + | 7.08153i | −0.629264 | + | 0.229033i | ||||
\(957\) | 0.486329 | − | 0.842347i | 0.0157208 | − | 0.0272292i | ||||
\(958\) | 5.57057 | + | 9.64852i | 0.179977 | + | 0.311729i | ||||
\(959\) | 26.6215 | + | 22.3381i | 0.859655 | + | 0.721336i | ||||
\(960\) | 0.766044 | + | 0.642788i | 0.0247240 | + | 0.0207459i | ||||
\(961\) | 15.0410 | + | 26.0518i | 0.485194 | + | 0.840381i | ||||
\(962\) | 0.152704 | − | 0.264490i | 0.00492336 | − | 0.00852752i | ||||
\(963\) | −6.89053 | + | 2.50795i | −0.222044 | + | 0.0808175i | ||||
\(964\) | 2.25015 | + | 12.7612i | 0.0724725 | + | 0.411012i | ||||
\(965\) | −2.94104 | + | 16.6794i | −0.0946753 | + | 0.536930i | ||||
\(966\) | 9.33022 | + | 3.39592i | 0.300195 | + | 0.109262i | ||||
\(967\) | −7.13223 | + | 5.98465i | −0.229357 | + | 0.192453i | −0.750223 | − | 0.661185i | \(-0.770054\pi\) |
0.520866 | + | 0.853639i | \(0.325609\pi\) | |||||||
\(968\) | −10.5740 | −0.339861 | ||||||||
\(969\) | −1.19072 | − | 3.34797i | −0.0382515 | − | 0.107552i | ||||
\(970\) | 0.787866 | 0.0252969 | ||||||||
\(971\) | 7.09555 | − | 5.95387i | 0.227707 | − | 0.191069i | −0.521795 | − | 0.853071i | \(-0.674737\pi\) |
0.749502 | + | 0.662002i | \(0.230293\pi\) | |||||||
\(972\) | 0.939693 | + | 0.342020i | 0.0301407 | + | 0.0109703i | ||||
\(973\) | 7.80319 | − | 44.2541i | 0.250159 | − | 1.41872i | ||||
\(974\) | 4.22193 | + | 23.9438i | 0.135279 | + | 0.767208i | ||||
\(975\) | −0.213011 | + | 0.0775297i | −0.00682181 | + | 0.00248294i | ||||
\(976\) | 1.59240 | − | 2.75811i | 0.0509714 | − | 0.0882850i | ||||
\(977\) | 8.73009 | + | 15.1210i | 0.279300 | + | 0.483762i | 0.971211 | − | 0.238221i | \(-0.0765642\pi\) |
−0.691911 | + | 0.721983i | \(0.743231\pi\) | |||||||
\(978\) | −8.38326 | − | 7.03439i | −0.268067 | − | 0.224935i | ||||
\(979\) | −7.55690 | − | 6.34100i | −0.241520 | − | 0.202659i | ||||
\(980\) | −0.294263 | − | 0.509678i | −0.00939988 | − | 0.0162811i | ||||
\(981\) | −3.54576 | + | 6.14144i | −0.113207 | + | 0.196081i | ||||
\(982\) | −21.9008 | + | 7.97124i | −0.698883 | + | 0.254372i | ||||
\(983\) | 5.22297 | + | 29.6210i | 0.166587 | + | 0.944762i | 0.947413 | + | 0.320013i | \(0.103687\pi\) |
−0.780826 | + | 0.624748i | \(0.785202\pi\) | |||||||
\(984\) | 0.805407 | − | 4.56769i | 0.0256754 | − | 0.145613i | ||||
\(985\) | 15.3478 | + | 5.58613i | 0.489020 | + | 0.177989i | ||||
\(986\) | −0.930608 | + | 0.780873i | −0.0296366 | + | 0.0248680i | ||||
\(987\) | 20.0574 | 0.638433 | ||||||||
\(988\) | −0.974308 | + | 0.164411i | −0.0309969 | + | 0.00523060i | ||||
\(989\) | 6.17200 | 0.196258 | ||||||||
\(990\) | 0.500000 | − | 0.419550i | 0.0158910 | − | 0.0133342i | ||||
\(991\) | −42.7798 | − | 15.5706i | −1.35894 | − | 0.494615i | −0.443216 | − | 0.896415i | \(-0.646163\pi\) |
−0.915728 | + | 0.401799i | \(0.868385\pi\) | |||||||
\(992\) | −0.166374 | + | 0.943555i | −0.00528239 | + | 0.0299579i | ||||
\(993\) | −2.55303 | − | 14.4790i | −0.0810181 | − | 0.459476i | ||||
\(994\) | 21.9722 | − | 7.99724i | 0.696917 | − | 0.253657i | ||||
\(995\) | 8.97818 | − | 15.5507i | 0.284627 | − | 0.492989i | ||||
\(996\) | 4.46198 | + | 7.72838i | 0.141383 | + | 0.244883i | ||||
\(997\) | −34.8057 | − | 29.2055i | −1.10231 | − | 0.924946i | −0.104730 | − | 0.994501i | \(-0.533398\pi\) |
−0.997578 | + | 0.0695545i | \(0.977842\pi\) | |||||||
\(998\) | 0.826352 | + | 0.693392i | 0.0261577 | + | 0.0219489i | ||||
\(999\) | 0.673648 | + | 1.16679i | 0.0213133 | + | 0.0369157i |
(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 | 570.2.u.e.481.1 | yes | 6 | |
19.16 | even | 9 | inner | 570.2.u.e.301.1 | ✓ | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.e.301.1 | ✓ | 6 | 19.16 | even | 9 | inner | |
570.2.u.e.481.1 | yes | 6 | 1.1 | even | 1 | trivial |