Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(61,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.k (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.399424.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 3x^{4} - 6x^{3} + 6x^{2} - 8x + 8 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 61.3 | ||
Root | \(0.264658 + 1.38923i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 120.61 |
Dual form | 120.2.k.b.61.4 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.264658 | − | 1.38923i | 0.187142 | − | 0.982333i | ||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −1.85991 | − | 0.735342i | −0.929956 | − | 0.367671i | ||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | −1.38923 | − | 0.264658i | −0.567150 | − | 0.108046i | ||||
\(7\) | 0.941367 | 0.355803 | 0.177902 | − | 0.984048i | \(-0.443069\pi\) | ||||
0.177902 | + | 0.984048i | \(0.443069\pi\) | |||||||
\(8\) | −1.51380 | + | 2.38923i | −0.535209 | + | 0.844720i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −1.38923 | − | 0.264658i | −0.439313 | − | 0.0836923i | ||||
\(11\) | − | 4.49828i | − | 1.35628i | −0.734931 | − | 0.678141i | \(-0.762786\pi\) | ||
0.734931 | − | 0.678141i | \(-0.237214\pi\) | |||||||
\(12\) | −0.735342 | + | 1.85991i | −0.212275 | + | 0.536910i | ||||
\(13\) | 5.55691i | 1.54121i | 0.637313 | + | 0.770605i | \(0.280046\pi\) | ||||
−0.637313 | + | 0.770605i | \(0.719954\pi\) | |||||||
\(14\) | 0.249141 | − | 1.30777i | 0.0665856 | − | 0.349517i | ||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | 2.91855 | + | 2.73534i | 0.729636 | + | 0.683835i | ||||
\(17\) | 7.55691 | 1.83282 | 0.916410 | − | 0.400240i | \(-0.131073\pi\) | ||||
0.916410 | + | 0.400240i | \(0.131073\pi\) | |||||||
\(18\) | −0.264658 | + | 1.38923i | −0.0623806 | + | 0.327444i | ||||
\(19\) | − | 1.05863i | − | 0.242867i | −0.992600 | − | 0.121434i | \(-0.961251\pi\) | ||
0.992600 | − | 0.121434i | \(-0.0387491\pi\) | |||||||
\(20\) | −0.735342 | + | 1.85991i | −0.164427 | + | 0.415889i | ||||
\(21\) | − | 0.941367i | − | 0.205423i | ||||||
\(22\) | −6.24914 | − | 1.19051i | −1.33232 | − | 0.253817i | ||||
\(23\) | −1.05863 | −0.220740 | −0.110370 | − | 0.993891i | \(-0.535204\pi\) | ||||
−0.110370 | + | 0.993891i | \(0.535204\pi\) | |||||||
\(24\) | 2.38923 | + | 1.51380i | 0.487699 | + | 0.309003i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 7.71982 | + | 1.47068i | 1.51398 | + | 0.288425i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −1.75086 | − | 0.692226i | −0.330881 | − | 0.130818i | ||||
\(29\) | 2.00000i | 0.371391i | 0.982607 | + | 0.185695i | \(0.0594537\pi\) | ||||
−0.982607 | + | 0.185695i | \(0.940546\pi\) | |||||||
\(30\) | −0.264658 | + | 1.38923i | −0.0483198 | + | 0.253637i | ||||
\(31\) | 3.55691 | 0.638841 | 0.319420 | − | 0.947613i | \(-0.396512\pi\) | ||||
0.319420 | + | 0.947613i | \(0.396512\pi\) | |||||||
\(32\) | 4.57243 | − | 3.33060i | 0.808299 | − | 0.588772i | ||||
\(33\) | −4.49828 | −0.783050 | ||||||||
\(34\) | 2.00000 | − | 10.4983i | 0.342997 | − | 1.80044i | ||||
\(35\) | − | 0.941367i | − | 0.159120i | ||||||
\(36\) | 1.85991 | + | 0.735342i | 0.309985 | + | 0.122557i | ||||
\(37\) | 7.43965i | 1.22307i | 0.791217 | + | 0.611535i | \(0.209448\pi\) | ||||
−0.791217 | + | 0.611535i | \(0.790552\pi\) | |||||||
\(38\) | −1.47068 | − | 0.280176i | −0.238576 | − | 0.0454506i | ||||
\(39\) | 5.55691 | 0.889818 | ||||||||
\(40\) | 2.38923 | + | 1.51380i | 0.377770 | + | 0.239353i | ||||
\(41\) | −3.88273 | −0.606381 | −0.303191 | − | 0.952930i | \(-0.598052\pi\) | ||||
−0.303191 | + | 0.952930i | \(0.598052\pi\) | |||||||
\(42\) | −1.30777 | − | 0.249141i | −0.201794 | − | 0.0384432i | ||||
\(43\) | 1.88273i | 0.287114i | 0.989642 | + | 0.143557i | \(0.0458541\pi\) | ||||
−0.989642 | + | 0.143557i | \(0.954146\pi\) | |||||||
\(44\) | −3.30777 | + | 8.36641i | −0.498666 | + | 1.26128i | ||||
\(45\) | 1.00000i | 0.149071i | ||||||||
\(46\) | −0.280176 | + | 1.47068i | −0.0413097 | + | 0.216840i | ||||
\(47\) | −10.0552 | −1.46670 | −0.733350 | − | 0.679851i | \(-0.762045\pi\) | ||||
−0.733350 | + | 0.679851i | \(0.762045\pi\) | |||||||
\(48\) | 2.73534 | − | 2.91855i | 0.394813 | − | 0.421256i | ||||
\(49\) | −6.11383 | −0.873404 | ||||||||
\(50\) | −0.264658 | + | 1.38923i | −0.0374283 | + | 0.196467i | ||||
\(51\) | − | 7.55691i | − | 1.05818i | ||||||
\(52\) | 4.08623 | − | 10.3354i | 0.566658 | − | 1.43326i | ||||
\(53\) | − | 2.00000i | − | 0.274721i | −0.990521 | − | 0.137361i | \(-0.956138\pi\) | ||
0.990521 | − | 0.137361i | \(-0.0438619\pi\) | |||||||
\(54\) | 1.38923 | + | 0.264658i | 0.189050 | + | 0.0360154i | ||||
\(55\) | −4.49828 | −0.606548 | ||||||||
\(56\) | −1.42504 | + | 2.24914i | −0.190429 | + | 0.300554i | ||||
\(57\) | −1.05863 | −0.140219 | ||||||||
\(58\) | 2.77846 | + | 0.529317i | 0.364829 | + | 0.0695027i | ||||
\(59\) | 8.49828i | 1.10638i | 0.833054 | + | 0.553191i | \(0.186590\pi\) | ||||
−0.833054 | + | 0.553191i | \(0.813410\pi\) | |||||||
\(60\) | 1.85991 | + | 0.735342i | 0.240114 | + | 0.0949322i | ||||
\(61\) | − | 8.99656i | − | 1.15189i | −0.817488 | − | 0.575946i | \(-0.804634\pi\) | ||
0.817488 | − | 0.575946i | \(-0.195366\pi\) | |||||||
\(62\) | 0.941367 | − | 4.94137i | 0.119554 | − | 0.627554i | ||||
\(63\) | −0.941367 | −0.118601 | ||||||||
\(64\) | −3.41683 | − | 7.23362i | −0.427103 | − | 0.904203i | ||||
\(65\) | 5.55691 | 0.689250 | ||||||||
\(66\) | −1.19051 | + | 6.24914i | −0.146541 | + | 0.769216i | ||||
\(67\) | 4.00000i | 0.488678i | 0.969690 | + | 0.244339i | \(0.0785709\pi\) | ||||
−0.969690 | + | 0.244339i | \(0.921429\pi\) | |||||||
\(68\) | −14.0552 | − | 5.55691i | −1.70444 | − | 0.673875i | ||||
\(69\) | 1.05863i | 0.127444i | ||||||||
\(70\) | −1.30777 | − | 0.249141i | −0.156309 | − | 0.0297780i | ||||
\(71\) | −12.9966 | −1.54241 | −0.771204 | − | 0.636588i | \(-0.780345\pi\) | ||||
−0.771204 | + | 0.636588i | \(0.780345\pi\) | |||||||
\(72\) | 1.51380 | − | 2.38923i | 0.178403 | − | 0.281573i | ||||
\(73\) | −6.00000 | −0.702247 | −0.351123 | − | 0.936329i | \(-0.614200\pi\) | ||||
−0.351123 | + | 0.936329i | \(0.614200\pi\) | |||||||
\(74\) | 10.3354 | + | 1.96896i | 1.20146 | + | 0.228887i | ||||
\(75\) | 1.00000i | 0.115470i | ||||||||
\(76\) | −0.778457 | + | 1.96896i | −0.0892952 | + | 0.225856i | ||||
\(77\) | − | 4.23453i | − | 0.482570i | ||||||
\(78\) | 1.47068 | − | 7.71982i | 0.166522 | − | 0.874098i | ||||
\(79\) | 11.5569 | 1.30025 | 0.650127 | − | 0.759825i | \(-0.274716\pi\) | ||||
0.650127 | + | 0.759825i | \(0.274716\pi\) | |||||||
\(80\) | 2.73534 | − | 2.91855i | 0.305821 | − | 0.326303i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −1.02760 | + | 5.39400i | −0.113479 | + | 0.595668i | ||||
\(83\) | − | 5.88273i | − | 0.645714i | −0.946448 | − | 0.322857i | \(-0.895357\pi\) | ||
0.946448 | − | 0.322857i | \(-0.104643\pi\) | |||||||
\(84\) | −0.692226 | + | 1.75086i | −0.0755281 | + | 0.191034i | ||||
\(85\) | − | 7.55691i | − | 0.819662i | ||||||
\(86\) | 2.61555 | + | 0.498281i | 0.282042 | + | 0.0537310i | ||||
\(87\) | 2.00000 | 0.214423 | ||||||||
\(88\) | 10.7474 | + | 6.80949i | 1.14568 | + | 0.725894i | ||||
\(89\) | −4.11727 | −0.436429 | −0.218215 | − | 0.975901i | \(-0.570023\pi\) | ||||
−0.218215 | + | 0.975901i | \(0.570023\pi\) | |||||||
\(90\) | 1.38923 | + | 0.264658i | 0.146438 | + | 0.0278974i | ||||
\(91\) | 5.23109i | 0.548368i | ||||||||
\(92\) | 1.96896 | + | 0.778457i | 0.205279 | + | 0.0811598i | ||||
\(93\) | − | 3.55691i | − | 0.368835i | ||||||
\(94\) | −2.66119 | + | 13.9690i | −0.274481 | + | 1.44079i | ||||
\(95\) | −1.05863 | −0.108613 | ||||||||
\(96\) | −3.33060 | − | 4.57243i | −0.339927 | − | 0.466672i | ||||
\(97\) | 17.1138 | 1.73765 | 0.868823 | − | 0.495123i | \(-0.164877\pi\) | ||||
0.868823 | + | 0.495123i | \(0.164877\pi\) | |||||||
\(98\) | −1.61808 | + | 8.49351i | −0.163450 | + | 0.857974i | ||||
\(99\) | 4.49828i | 0.452094i | ||||||||
\(100\) | 1.85991 | + | 0.735342i | 0.185991 | + | 0.0735342i | ||||
\(101\) | − | 2.00000i | − | 0.199007i | −0.995037 | − | 0.0995037i | \(-0.968274\pi\) | ||
0.995037 | − | 0.0995037i | \(-0.0317255\pi\) | |||||||
\(102\) | −10.4983 | − | 2.00000i | −1.03948 | − | 0.198030i | ||||
\(103\) | 10.1725 | 1.00232 | 0.501161 | − | 0.865354i | \(-0.332906\pi\) | ||||
0.501161 | + | 0.865354i | \(0.332906\pi\) | |||||||
\(104\) | −13.2767 | − | 8.41205i | −1.30189 | − | 0.824869i | ||||
\(105\) | −0.941367 | −0.0918680 | ||||||||
\(106\) | −2.77846 | − | 0.529317i | −0.269868 | − | 0.0514118i | ||||
\(107\) | 17.2311i | 1.66579i | 0.553429 | + | 0.832896i | \(0.313319\pi\) | ||||
−0.553429 | + | 0.832896i | \(0.686681\pi\) | |||||||
\(108\) | 0.735342 | − | 1.85991i | 0.0707583 | − | 0.178970i | ||||
\(109\) | − | 1.88273i | − | 0.180333i | −0.995927 | − | 0.0901666i | \(-0.971260\pi\) | ||
0.995927 | − | 0.0901666i | \(-0.0287399\pi\) | |||||||
\(110\) | −1.19051 | + | 6.24914i | −0.113510 | + | 0.595832i | ||||
\(111\) | 7.43965 | 0.706140 | ||||||||
\(112\) | 2.74742 | + | 2.57496i | 0.259607 | + | 0.243311i | ||||
\(113\) | 15.3224 | 1.44141 | 0.720704 | − | 0.693243i | \(-0.243819\pi\) | ||||
0.720704 | + | 0.693243i | \(0.243819\pi\) | |||||||
\(114\) | −0.280176 | + | 1.47068i | −0.0262409 | + | 0.137742i | ||||
\(115\) | 1.05863i | 0.0987181i | ||||||||
\(116\) | 1.47068 | − | 3.71982i | 0.136550 | − | 0.345377i | ||||
\(117\) | − | 5.55691i | − | 0.513737i | ||||||
\(118\) | 11.8061 | + | 2.24914i | 1.08684 | + | 0.207050i | ||||
\(119\) | 7.11383 | 0.652124 | ||||||||
\(120\) | 1.51380 | − | 2.38923i | 0.138190 | − | 0.218106i | ||||
\(121\) | −9.23453 | −0.839503 | ||||||||
\(122\) | −12.4983 | − | 2.38101i | −1.13154 | − | 0.215567i | ||||
\(123\) | 3.88273i | 0.350094i | ||||||||
\(124\) | −6.61555 | − | 2.61555i | −0.594094 | − | 0.234883i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −0.249141 | + | 1.30777i | −0.0221952 | + | 0.116506i | ||||
\(127\) | −18.1725 | −1.61255 | −0.806273 | − | 0.591544i | \(-0.798519\pi\) | ||||
−0.806273 | + | 0.591544i | \(0.798519\pi\) | |||||||
\(128\) | −10.9534 | + | 2.83231i | −0.968157 | + | 0.250344i | ||||
\(129\) | 1.88273 | 0.165765 | ||||||||
\(130\) | 1.47068 | − | 7.71982i | 0.128987 | − | 0.677073i | ||||
\(131\) | 6.38101i | 0.557512i | 0.960362 | + | 0.278756i | \(0.0899220\pi\) | ||||
−0.960362 | + | 0.278756i | \(0.910078\pi\) | |||||||
\(132\) | 8.36641 | + | 3.30777i | 0.728202 | + | 0.287905i | ||||
\(133\) | − | 0.996562i | − | 0.0864129i | ||||||
\(134\) | 5.55691 | + | 1.05863i | 0.480044 | + | 0.0914520i | ||||
\(135\) | 1.00000 | 0.0860663 | ||||||||
\(136\) | −11.4396 | + | 18.0552i | −0.980942 | + | 1.54822i | ||||
\(137\) | −4.44309 | −0.379598 | −0.189799 | − | 0.981823i | \(-0.560784\pi\) | ||||
−0.189799 | + | 0.981823i | \(0.560784\pi\) | |||||||
\(138\) | 1.47068 | + | 0.280176i | 0.125193 | + | 0.0238502i | ||||
\(139\) | − | 20.1725i | − | 1.71101i | −0.517798 | − | 0.855503i | \(-0.673248\pi\) | ||
0.517798 | − | 0.855503i | \(-0.326752\pi\) | |||||||
\(140\) | −0.692226 | + | 1.75086i | −0.0585038 | + | 0.147975i | ||||
\(141\) | 10.0552i | 0.846800i | ||||||||
\(142\) | −3.43965 | + | 18.0552i | −0.288649 | + | 1.51516i | ||||
\(143\) | 24.9966 | 2.09032 | ||||||||
\(144\) | −2.91855 | − | 2.73534i | −0.243212 | − | 0.227945i | ||||
\(145\) | 2.00000 | 0.166091 | ||||||||
\(146\) | −1.58795 | + | 8.33537i | −0.131420 | + | 0.689840i | ||||
\(147\) | 6.11383i | 0.504260i | ||||||||
\(148\) | 5.47068 | − | 13.8371i | 0.449687 | − | 1.13740i | ||||
\(149\) | 2.00000i | 0.163846i | 0.996639 | + | 0.0819232i | \(0.0261062\pi\) | ||||
−0.996639 | + | 0.0819232i | \(0.973894\pi\) | |||||||
\(150\) | 1.38923 | + | 0.264658i | 0.113430 | + | 0.0216093i | ||||
\(151\) | 9.67418 | 0.787274 | 0.393637 | − | 0.919266i | \(-0.371217\pi\) | ||||
0.393637 | + | 0.919266i | \(0.371217\pi\) | |||||||
\(152\) | 2.52932 | + | 1.60256i | 0.205155 | + | 0.129985i | ||||
\(153\) | −7.55691 | −0.610940 | ||||||||
\(154\) | −5.88273 | − | 1.12070i | −0.474044 | − | 0.0903089i | ||||
\(155\) | − | 3.55691i | − | 0.285698i | ||||||
\(156\) | −10.3354 | − | 4.08623i | −0.827492 | − | 0.327160i | ||||
\(157\) | − | 4.32582i | − | 0.345238i | −0.984989 | − | 0.172619i | \(-0.944777\pi\) | ||
0.984989 | − | 0.172619i | \(-0.0552229\pi\) | |||||||
\(158\) | 3.05863 | − | 16.0552i | 0.243332 | − | 1.27728i | ||||
\(159\) | −2.00000 | −0.158610 | ||||||||
\(160\) | −3.33060 | − | 4.57243i | −0.263307 | − | 0.361482i | ||||
\(161\) | −0.996562 | −0.0785401 | ||||||||
\(162\) | 0.264658 | − | 1.38923i | 0.0207935 | − | 0.109148i | ||||
\(163\) | 6.11727i | 0.479141i | 0.970879 | + | 0.239571i | \(0.0770067\pi\) | ||||
−0.970879 | + | 0.239571i | \(0.922993\pi\) | |||||||
\(164\) | 7.22154 | + | 2.85514i | 0.563908 | + | 0.222949i | ||||
\(165\) | 4.49828i | 0.350191i | ||||||||
\(166\) | −8.17246 | − | 1.55691i | −0.634306 | − | 0.120840i | ||||
\(167\) | −6.05520 | −0.468565 | −0.234283 | − | 0.972169i | \(-0.575274\pi\) | ||||
−0.234283 | + | 0.972169i | \(0.575274\pi\) | |||||||
\(168\) | 2.24914 | + | 1.42504i | 0.173525 | + | 0.109944i | ||||
\(169\) | −17.8793 | −1.37533 | ||||||||
\(170\) | −10.4983 | − | 2.00000i | −0.805181 | − | 0.153393i | ||||
\(171\) | 1.05863i | 0.0809557i | ||||||||
\(172\) | 1.38445 | − | 3.50172i | 0.105564 | − | 0.267004i | ||||
\(173\) | − | 16.8793i | − | 1.28331i | −0.766994 | − | 0.641655i | \(-0.778248\pi\) | ||
0.766994 | − | 0.641655i | \(-0.221752\pi\) | |||||||
\(174\) | 0.529317 | − | 2.77846i | 0.0401274 | − | 0.210634i | ||||
\(175\) | −0.941367 | −0.0711606 | ||||||||
\(176\) | 12.3043 | − | 13.1284i | 0.927474 | − | 0.989593i | ||||
\(177\) | 8.49828 | 0.638770 | ||||||||
\(178\) | −1.08967 | + | 5.71982i | −0.0816741 | + | 0.428719i | ||||
\(179\) | − | 10.6155i | − | 0.793443i | −0.917939 | − | 0.396722i | \(-0.870148\pi\) | ||
0.917939 | − | 0.396722i | \(-0.129852\pi\) | |||||||
\(180\) | 0.735342 | − | 1.85991i | 0.0548091 | − | 0.138630i | ||||
\(181\) | − | 14.1173i | − | 1.04933i | −0.851309 | − | 0.524664i | \(-0.824191\pi\) | ||
0.851309 | − | 0.524664i | \(-0.175809\pi\) | |||||||
\(182\) | 7.26719 | + | 1.38445i | 0.538680 | + | 0.102622i | ||||
\(183\) | −8.99656 | −0.665045 | ||||||||
\(184\) | 1.60256 | − | 2.52932i | 0.118142 | − | 0.186464i | ||||
\(185\) | 7.43965 | 0.546974 | ||||||||
\(186\) | −4.94137 | − | 0.941367i | −0.362319 | − | 0.0690244i | ||||
\(187\) | − | 33.9931i | − | 2.48582i | ||||||
\(188\) | 18.7018 | + | 7.39400i | 1.36397 | + | 0.539263i | ||||
\(189\) | 0.941367i | 0.0684744i | ||||||||
\(190\) | −0.280176 | + | 1.47068i | −0.0203261 | + | 0.106695i | ||||
\(191\) | −8.00000 | −0.578860 | −0.289430 | − | 0.957199i | \(-0.593466\pi\) | ||||
−0.289430 | + | 0.957199i | \(0.593466\pi\) | |||||||
\(192\) | −7.23362 | + | 3.41683i | −0.522042 | + | 0.246588i | ||||
\(193\) | −4.87930 | −0.351219 | −0.175610 | − | 0.984460i | \(-0.556190\pi\) | ||||
−0.175610 | + | 0.984460i | \(0.556190\pi\) | |||||||
\(194\) | 4.52932 | − | 23.7750i | 0.325186 | − | 1.70695i | ||||
\(195\) | − | 5.55691i | − | 0.397939i | ||||||
\(196\) | 11.3712 | + | 4.49575i | 0.812227 | + | 0.321125i | ||||
\(197\) | 2.88617i | 0.205631i | 0.994700 | + | 0.102816i | \(0.0327852\pi\) | ||||
−0.994700 | + | 0.102816i | \(0.967215\pi\) | |||||||
\(198\) | 6.24914 | + | 1.19051i | 0.444107 | + | 0.0846057i | ||||
\(199\) | −17.6742 | −1.25289 | −0.626445 | − | 0.779466i | \(-0.715491\pi\) | ||||
−0.626445 | + | 0.779466i | \(0.715491\pi\) | |||||||
\(200\) | 1.51380 | − | 2.38923i | 0.107042 | − | 0.168944i | ||||
\(201\) | 4.00000 | 0.282138 | ||||||||
\(202\) | −2.77846 | − | 0.529317i | −0.195492 | − | 0.0372426i | ||||
\(203\) | 1.88273i | 0.132142i | ||||||||
\(204\) | −5.55691 | + | 14.0552i | −0.389062 | + | 0.984061i | ||||
\(205\) | 3.88273i | 0.271182i | ||||||||
\(206\) | 2.69223 | − | 14.1319i | 0.187576 | − | 0.984614i | ||||
\(207\) | 1.05863 | 0.0735801 | ||||||||
\(208\) | −15.2001 | + | 16.2181i | −1.05393 | + | 1.12452i | ||||
\(209\) | −4.76203 | −0.329396 | ||||||||
\(210\) | −0.249141 | + | 1.30777i | −0.0171923 | + | 0.0902450i | ||||
\(211\) | 23.9379i | 1.64795i | 0.566623 | + | 0.823977i | \(0.308250\pi\) | ||||
−0.566623 | + | 0.823977i | \(0.691750\pi\) | |||||||
\(212\) | −1.47068 | + | 3.71982i | −0.101007 | + | 0.255479i | ||||
\(213\) | 12.9966i | 0.890510i | ||||||||
\(214\) | 23.9379 | + | 4.56035i | 1.63636 | + | 0.311739i | ||||
\(215\) | 1.88273 | 0.128401 | ||||||||
\(216\) | −2.38923 | − | 1.51380i | −0.162566 | − | 0.103001i | ||||
\(217\) | 3.34836 | 0.227302 | ||||||||
\(218\) | −2.61555 | − | 0.498281i | −0.177147 | − | 0.0337479i | ||||
\(219\) | 6.00000i | 0.405442i | ||||||||
\(220\) | 8.36641 | + | 3.30777i | 0.564063 | + | 0.223010i | ||||
\(221\) | 41.9931i | 2.82476i | ||||||||
\(222\) | 1.96896 | − | 10.3354i | 0.132148 | − | 0.693665i | ||||
\(223\) | −24.0552 | −1.61086 | −0.805428 | − | 0.592694i | \(-0.798064\pi\) | ||||
−0.805428 | + | 0.592694i | \(0.798064\pi\) | |||||||
\(224\) | 4.30434 | − | 3.13531i | 0.287596 | − | 0.209487i | ||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | 4.05520 | − | 21.2863i | 0.269748 | − | 1.41594i | ||||
\(227\) | − | 11.1138i | − | 0.737651i | −0.929499 | − | 0.368825i | \(-0.879760\pi\) | ||
0.929499 | − | 0.368825i | \(-0.120240\pi\) | |||||||
\(228\) | 1.96896 | + | 0.778457i | 0.130398 | + | 0.0515546i | ||||
\(229\) | 17.2311i | 1.13866i | 0.822108 | + | 0.569331i | \(0.192798\pi\) | ||||
−0.822108 | + | 0.569331i | \(0.807202\pi\) | |||||||
\(230\) | 1.47068 | + | 0.280176i | 0.0969740 | + | 0.0184743i | ||||
\(231\) | −4.23453 | −0.278612 | ||||||||
\(232\) | −4.77846 | − | 3.02760i | −0.313721 | − | 0.198772i | ||||
\(233\) | −8.44309 | −0.553125 | −0.276562 | − | 0.960996i | \(-0.589195\pi\) | ||||
−0.276562 | + | 0.960996i | \(0.589195\pi\) | |||||||
\(234\) | −7.71982 | − | 1.47068i | −0.504661 | − | 0.0961416i | ||||
\(235\) | 10.0552i | 0.655929i | ||||||||
\(236\) | 6.24914 | − | 15.8061i | 0.406784 | − | 1.02889i | ||||
\(237\) | − | 11.5569i | − | 0.750702i | ||||||
\(238\) | 1.88273 | − | 9.88273i | 0.122039 | − | 0.640602i | ||||
\(239\) | 10.1173 | 0.654432 | 0.327216 | − | 0.944950i | \(-0.393890\pi\) | ||||
0.327216 | + | 0.944950i | \(0.393890\pi\) | |||||||
\(240\) | −2.91855 | − | 2.73534i | −0.188391 | − | 0.176566i | ||||
\(241\) | 16.8793 | 1.08729 | 0.543646 | − | 0.839315i | \(-0.317044\pi\) | ||||
0.543646 | + | 0.839315i | \(0.317044\pi\) | |||||||
\(242\) | −2.44400 | + | 12.8289i | −0.157106 | + | 0.824671i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −6.61555 | + | 16.7328i | −0.423517 | + | 1.07121i | ||||
\(245\) | 6.11383i | 0.390598i | ||||||||
\(246\) | 5.39400 | + | 1.02760i | 0.343909 | + | 0.0655172i | ||||
\(247\) | 5.88273 | 0.374309 | ||||||||
\(248\) | −5.38445 | + | 8.49828i | −0.341913 | + | 0.539641i | ||||
\(249\) | −5.88273 | −0.372803 | ||||||||
\(250\) | 1.38923 | + | 0.264658i | 0.0878625 | + | 0.0167385i | ||||
\(251\) | − | 11.8466i | − | 0.747753i | −0.927478 | − | 0.373877i | \(-0.878028\pi\) | ||
0.927478 | − | 0.373877i | \(-0.121972\pi\) | |||||||
\(252\) | 1.75086 | + | 0.692226i | 0.110294 | + | 0.0436062i | ||||
\(253\) | 4.76203i | 0.299386i | ||||||||
\(254\) | −4.80949 | + | 25.2457i | −0.301774 | + | 1.58406i | ||||
\(255\) | −7.55691 | −0.473232 | ||||||||
\(256\) | 1.03581 | + | 15.9664i | 0.0647382 | + | 0.997902i | ||||
\(257\) | −10.6707 | −0.665623 | −0.332811 | − | 0.942993i | \(-0.607997\pi\) | ||||
−0.332811 | + | 0.942993i | \(0.607997\pi\) | |||||||
\(258\) | 0.498281 | − | 2.61555i | 0.0310216 | − | 0.162837i | ||||
\(259\) | 7.00344i | 0.435172i | ||||||||
\(260\) | −10.3354 | − | 4.08623i | −0.640973 | − | 0.253417i | ||||
\(261\) | − | 2.00000i | − | 0.123797i | ||||||
\(262\) | 8.86469 | + | 1.68879i | 0.547662 | + | 0.104334i | ||||
\(263\) | −1.94480 | −0.119922 | −0.0599609 | − | 0.998201i | \(-0.519098\pi\) | ||||
−0.0599609 | + | 0.998201i | \(0.519098\pi\) | |||||||
\(264\) | 6.80949 | − | 10.7474i | 0.419095 | − | 0.661458i | ||||
\(265\) | −2.00000 | −0.122859 | ||||||||
\(266\) | −1.38445 | − | 0.263748i | −0.0848862 | − | 0.0161715i | ||||
\(267\) | 4.11727i | 0.251973i | ||||||||
\(268\) | 2.94137 | − | 7.43965i | 0.179673 | − | 0.454449i | ||||
\(269\) | − | 9.76547i | − | 0.595411i | −0.954658 | − | 0.297706i | \(-0.903779\pi\) | ||
0.954658 | − | 0.297706i | \(-0.0962214\pi\) | |||||||
\(270\) | 0.264658 | − | 1.38923i | 0.0161066 | − | 0.0845458i | ||||
\(271\) | 3.44652 | 0.209361 | 0.104681 | − | 0.994506i | \(-0.466618\pi\) | ||||
0.104681 | + | 0.994506i | \(0.466618\pi\) | |||||||
\(272\) | 22.0552 | + | 20.6707i | 1.33729 | + | 1.25335i | ||||
\(273\) | 5.23109 | 0.316600 | ||||||||
\(274\) | −1.17590 | + | 6.17246i | −0.0710387 | + | 0.372892i | ||||
\(275\) | 4.49828i | 0.271257i | ||||||||
\(276\) | 0.778457 | − | 1.96896i | 0.0468576 | − | 0.118518i | ||||
\(277\) | 18.7880i | 1.12886i | 0.825480 | + | 0.564431i | \(0.190904\pi\) | ||||
−0.825480 | + | 0.564431i | \(0.809096\pi\) | |||||||
\(278\) | −28.0242 | − | 5.33881i | −1.68078 | − | 0.320200i | ||||
\(279\) | −3.55691 | −0.212947 | ||||||||
\(280\) | 2.24914 | + | 1.42504i | 0.134412 | + | 0.0851624i | ||||
\(281\) | −16.8793 | −1.00693 | −0.503467 | − | 0.864014i | \(-0.667943\pi\) | ||||
−0.503467 | + | 0.864014i | \(0.667943\pi\) | |||||||
\(282\) | 13.9690 | + | 2.66119i | 0.831840 | + | 0.158472i | ||||
\(283\) | − | 20.0000i | − | 1.18888i | −0.804141 | − | 0.594438i | \(-0.797374\pi\) | ||
0.804141 | − | 0.594438i | \(-0.202626\pi\) | |||||||
\(284\) | 24.1725 | + | 9.55691i | 1.43437 | + | 0.567099i | ||||
\(285\) | 1.05863i | 0.0627080i | ||||||||
\(286\) | 6.61555 | − | 34.7259i | 0.391186 | − | 2.05339i | ||||
\(287\) | −3.65508 | −0.215752 | ||||||||
\(288\) | −4.57243 | + | 3.33060i | −0.269433 | + | 0.196257i | ||||
\(289\) | 40.1070 | 2.35923 | ||||||||
\(290\) | 0.529317 | − | 2.77846i | 0.0310825 | − | 0.163157i | ||||
\(291\) | − | 17.1138i | − | 1.00323i | ||||||
\(292\) | 11.1595 | + | 4.41205i | 0.653059 | + | 0.258196i | ||||
\(293\) | 20.2277i | 1.18171i | 0.806777 | + | 0.590856i | \(0.201210\pi\) | ||||
−0.806777 | + | 0.590856i | \(0.798790\pi\) | |||||||
\(294\) | 8.49351 | + | 1.61808i | 0.495351 | + | 0.0943681i | ||||
\(295\) | 8.49828 | 0.494789 | ||||||||
\(296\) | −17.7750 | − | 11.2621i | −1.03315 | − | 0.654598i | ||||
\(297\) | 4.49828 | 0.261017 | ||||||||
\(298\) | 2.77846 | + | 0.529317i | 0.160952 | + | 0.0306625i | ||||
\(299\) | − | 5.88273i | − | 0.340207i | ||||||
\(300\) | 0.735342 | − | 1.85991i | 0.0424550 | − | 0.107382i | ||||
\(301\) | 1.77234i | 0.102156i | ||||||||
\(302\) | 2.56035 | − | 13.4396i | 0.147332 | − | 0.773365i | ||||
\(303\) | −2.00000 | −0.114897 | ||||||||
\(304\) | 2.89572 | − | 3.08967i | 0.166081 | − | 0.177205i | ||||
\(305\) | −8.99656 | −0.515142 | ||||||||
\(306\) | −2.00000 | + | 10.4983i | −0.114332 | + | 0.600147i | ||||
\(307\) | − | 8.11039i | − | 0.462884i | −0.972849 | − | 0.231442i | \(-0.925656\pi\) | ||
0.972849 | − | 0.231442i | \(-0.0743444\pi\) | |||||||
\(308\) | −3.11383 | + | 7.87586i | −0.177427 | + | 0.448769i | ||||
\(309\) | − | 10.1725i | − | 0.578691i | ||||||
\(310\) | −4.94137 | − | 0.941367i | −0.280651 | − | 0.0534660i | ||||
\(311\) | 31.8759 | 1.80751 | 0.903757 | − | 0.428046i | \(-0.140798\pi\) | ||||
0.903757 | + | 0.428046i | \(0.140798\pi\) | |||||||
\(312\) | −8.41205 | + | 13.2767i | −0.476239 | + | 0.751647i | ||||
\(313\) | −5.11383 | −0.289051 | −0.144525 | − | 0.989501i | \(-0.546166\pi\) | ||||
−0.144525 | + | 0.989501i | \(0.546166\pi\) | |||||||
\(314\) | −6.00955 | − | 1.14486i | −0.339139 | − | 0.0646084i | ||||
\(315\) | 0.941367i | 0.0530400i | ||||||||
\(316\) | −21.4948 | − | 8.49828i | −1.20918 | − | 0.478066i | ||||
\(317\) | − | 24.6448i | − | 1.38419i | −0.721807 | − | 0.692094i | \(-0.756688\pi\) | ||
0.721807 | − | 0.692094i | \(-0.243312\pi\) | |||||||
\(318\) | −0.529317 | + | 2.77846i | −0.0296826 | + | 0.155808i | ||||
\(319\) | 8.99656 | 0.503711 | ||||||||
\(320\) | −7.23362 | + | 3.41683i | −0.404372 | + | 0.191006i | ||||
\(321\) | 17.2311 | 0.961746 | ||||||||
\(322\) | −0.263748 | + | 1.38445i | −0.0146981 | + | 0.0771525i | ||||
\(323\) | − | 8.00000i | − | 0.445132i | ||||||
\(324\) | −1.85991 | − | 0.735342i | −0.103328 | − | 0.0408523i | ||||
\(325\) | − | 5.55691i | − | 0.308242i | ||||||
\(326\) | 8.49828 | + | 1.61899i | 0.470676 | + | 0.0896673i | ||||
\(327\) | −1.88273 | −0.104115 | ||||||||
\(328\) | 5.87768 | − | 9.27674i | 0.324540 | − | 0.512222i | ||||
\(329\) | −9.46563 | −0.521857 | ||||||||
\(330\) | 6.24914 | + | 1.19051i | 0.344004 | + | 0.0655353i | ||||
\(331\) | 11.0518i | 0.607460i | 0.952758 | + | 0.303730i | \(0.0982320\pi\) | ||||
−0.952758 | + | 0.303730i | \(0.901768\pi\) | |||||||
\(332\) | −4.32582 | + | 10.9414i | −0.237410 | + | 0.600486i | ||||
\(333\) | − | 7.43965i | − | 0.407690i | ||||||
\(334\) | −1.60256 | + | 8.41205i | −0.0876881 | + | 0.460287i | ||||
\(335\) | 4.00000 | 0.218543 | ||||||||
\(336\) | 2.57496 | − | 2.74742i | 0.140476 | − | 0.149884i | ||||
\(337\) | −19.9931 | −1.08909 | −0.544547 | − | 0.838730i | \(-0.683299\pi\) | ||||
−0.544547 | + | 0.838730i | \(0.683299\pi\) | |||||||
\(338\) | −4.73190 | + | 24.8384i | −0.257382 | + | 1.35103i | ||||
\(339\) | − | 15.3224i | − | 0.832198i | ||||||
\(340\) | −5.55691 | + | 14.0552i | −0.301366 | + | 0.762250i | ||||
\(341\) | − | 16.0000i | − | 0.866449i | ||||||
\(342\) | 1.47068 | + | 0.280176i | 0.0795255 | + | 0.0151502i | ||||
\(343\) | −12.3449 | −0.666563 | ||||||||
\(344\) | −4.49828 | − | 2.85008i | −0.242531 | − | 0.153666i | ||||
\(345\) | 1.05863 | 0.0569949 | ||||||||
\(346\) | −23.4492 | − | 4.46725i | −1.26064 | − | 0.240161i | ||||
\(347\) | 6.87930i | 0.369300i | 0.982804 | + | 0.184650i | \(0.0591151\pi\) | ||||
−0.982804 | + | 0.184650i | \(0.940885\pi\) | |||||||
\(348\) | −3.71982 | − | 1.47068i | −0.199403 | − | 0.0788369i | ||||
\(349\) | 4.76203i | 0.254906i | 0.991845 | + | 0.127453i | \(0.0406801\pi\) | ||||
−0.991845 | + | 0.127453i | \(0.959320\pi\) | |||||||
\(350\) | −0.249141 | + | 1.30777i | −0.0133171 | + | 0.0699034i | ||||
\(351\) | −5.55691 | −0.296606 | ||||||||
\(352\) | −14.9820 | − | 20.5681i | −0.798541 | − | 1.09628i | ||||
\(353\) | −3.79145 | −0.201798 | −0.100899 | − | 0.994897i | \(-0.532172\pi\) | ||||
−0.100899 | + | 0.994897i | \(0.532172\pi\) | |||||||
\(354\) | 2.24914 | − | 11.8061i | 0.119540 | − | 0.627485i | ||||
\(355\) | 12.9966i | 0.689786i | ||||||||
\(356\) | 7.65775 | + | 3.02760i | 0.405860 | + | 0.160462i | ||||
\(357\) | − | 7.11383i | − | 0.376504i | ||||||
\(358\) | −14.7474 | − | 2.80949i | −0.779425 | − | 0.148486i | ||||
\(359\) | −12.9966 | −0.685932 | −0.342966 | − | 0.939348i | \(-0.611432\pi\) | ||||
−0.342966 | + | 0.939348i | \(0.611432\pi\) | |||||||
\(360\) | −2.38923 | − | 1.51380i | −0.125923 | − | 0.0797842i | ||||
\(361\) | 17.8793 | 0.941016 | ||||||||
\(362\) | −19.6121 | − | 3.73625i | −1.03079 | − | 0.196373i | ||||
\(363\) | 9.23453i | 0.484687i | ||||||||
\(364\) | 3.84664 | − | 9.72938i | 0.201619 | − | 0.509958i | ||||
\(365\) | 6.00000i | 0.314054i | ||||||||
\(366\) | −2.38101 | + | 12.4983i | −0.124458 | + | 0.653296i | ||||
\(367\) | 22.9345 | 1.19717 | 0.598585 | − | 0.801059i | \(-0.295730\pi\) | ||||
0.598585 | + | 0.801059i | \(0.295730\pi\) | |||||||
\(368\) | −3.08967 | − | 2.89572i | −0.161060 | − | 0.150950i | ||||
\(369\) | 3.88273 | 0.202127 | ||||||||
\(370\) | 1.96896 | − | 10.3354i | 0.102362 | − | 0.537310i | ||||
\(371\) | − | 1.88273i | − | 0.0977467i | ||||||
\(372\) | −2.61555 | + | 6.61555i | −0.135610 | + | 0.343000i | ||||
\(373\) | − | 15.4396i | − | 0.799435i | −0.916638 | − | 0.399717i | \(-0.869108\pi\) | ||
0.916638 | − | 0.399717i | \(-0.130892\pi\) | |||||||
\(374\) | −47.2242 | − | 8.99656i | −2.44191 | − | 0.465201i | ||||
\(375\) | 1.00000 | 0.0516398 | ||||||||
\(376\) | 15.2215 | − | 24.0242i | 0.784991 | − | 1.23895i | ||||
\(377\) | −11.1138 | −0.572391 | ||||||||
\(378\) | 1.30777 | + | 0.249141i | 0.0672646 | + | 0.0128144i | ||||
\(379\) | 6.28973i | 0.323082i | 0.986866 | + | 0.161541i | \(0.0516463\pi\) | ||||
−0.986866 | + | 0.161541i | \(0.948354\pi\) | |||||||
\(380\) | 1.96896 | + | 0.778457i | 0.101006 | + | 0.0399340i | ||||
\(381\) | 18.1725i | 0.931003i | ||||||||
\(382\) | −2.11727 | + | 11.1138i | −0.108329 | + | 0.568633i | ||||
\(383\) | 2.94137 | 0.150297 | 0.0751484 | − | 0.997172i | \(-0.476057\pi\) | ||||
0.0751484 | + | 0.997172i | \(0.476057\pi\) | |||||||
\(384\) | 2.83231 | + | 10.9534i | 0.144536 | + | 0.558966i | ||||
\(385\) | −4.23453 | −0.215812 | ||||||||
\(386\) | −1.29135 | + | 6.77846i | −0.0657278 | + | 0.345014i | ||||
\(387\) | − | 1.88273i | − | 0.0957047i | ||||||
\(388\) | −31.8302 | − | 12.5845i | −1.61593 | − | 0.638882i | ||||
\(389\) | − | 12.2277i | − | 0.619967i | −0.950742 | − | 0.309983i | \(-0.899676\pi\) | ||
0.950742 | − | 0.309983i | \(-0.100324\pi\) | |||||||
\(390\) | −7.71982 | − | 1.47068i | −0.390908 | − | 0.0744709i | ||||
\(391\) | −8.00000 | −0.404577 | ||||||||
\(392\) | 9.25511 | − | 14.6073i | 0.467453 | − | 0.737782i | ||||
\(393\) | 6.38101 | 0.321880 | ||||||||
\(394\) | 4.00955 | + | 0.763849i | 0.201998 | + | 0.0384822i | ||||
\(395\) | − | 11.5569i | − | 0.581491i | ||||||
\(396\) | 3.30777 | − | 8.36641i | 0.166222 | − | 0.420428i | ||||
\(397\) | 5.32238i | 0.267123i | 0.991041 | + | 0.133561i | \(0.0426413\pi\) | ||||
−0.991041 | + | 0.133561i | \(0.957359\pi\) | |||||||
\(398\) | −4.67762 | + | 24.5535i | −0.234468 | + | 1.23075i | ||||
\(399\) | −0.996562 | −0.0498905 | ||||||||
\(400\) | −2.91855 | − | 2.73534i | −0.145927 | − | 0.136767i | ||||
\(401\) | 6.99656 | 0.349392 | 0.174696 | − | 0.984622i | \(-0.444106\pi\) | ||||
0.174696 | + | 0.984622i | \(0.444106\pi\) | |||||||
\(402\) | 1.05863 | − | 5.55691i | 0.0527998 | − | 0.277154i | ||||
\(403\) | 19.7655i | 0.984588i | ||||||||
\(404\) | −1.47068 | + | 3.71982i | −0.0731692 | + | 0.185068i | ||||
\(405\) | − | 1.00000i | − | 0.0496904i | ||||||
\(406\) | 2.61555 | + | 0.498281i | 0.129807 | + | 0.0247293i | ||||
\(407\) | 33.4656 | 1.65883 | ||||||||
\(408\) | 18.0552 | + | 11.4396i | 0.893865 | + | 0.566347i | ||||
\(409\) | 16.2277 | 0.802406 | 0.401203 | − | 0.915989i | \(-0.368592\pi\) | ||||
0.401203 | + | 0.915989i | \(0.368592\pi\) | |||||||
\(410\) | 5.39400 | + | 1.02760i | 0.266391 | + | 0.0507494i | ||||
\(411\) | 4.44309i | 0.219161i | ||||||||
\(412\) | −18.9199 | − | 7.48024i | −0.932116 | − | 0.368525i | ||||
\(413\) | 8.00000i | 0.393654i | ||||||||
\(414\) | 0.280176 | − | 1.47068i | 0.0137699 | − | 0.0722801i | ||||
\(415\) | −5.88273 | −0.288772 | ||||||||
\(416\) | 18.5078 | + | 25.4086i | 0.907421 | + | 1.24576i | ||||
\(417\) | −20.1725 | −0.987850 | ||||||||
\(418\) | −1.26031 | + | 6.61555i | −0.0616438 | + | 0.323577i | ||||
\(419\) | 15.6121i | 0.762701i | 0.924430 | + | 0.381351i | \(0.124541\pi\) | ||||
−0.924430 | + | 0.381351i | \(0.875459\pi\) | |||||||
\(420\) | 1.75086 | + | 0.692226i | 0.0854332 | + | 0.0337772i | ||||
\(421\) | − | 33.2311i | − | 1.61958i | −0.586717 | − | 0.809792i | \(-0.699580\pi\) | ||
0.586717 | − | 0.809792i | \(-0.300420\pi\) | |||||||
\(422\) | 33.2553 | + | 6.33537i | 1.61884 | + | 0.308401i | ||||
\(423\) | 10.0552 | 0.488900 | ||||||||
\(424\) | 4.77846 | + | 3.02760i | 0.232062 | + | 0.147033i | ||||
\(425\) | −7.55691 | −0.366564 | ||||||||
\(426\) | 18.0552 | + | 3.43965i | 0.874777 | + | 0.166651i | ||||
\(427\) | − | 8.46907i | − | 0.409847i | ||||||
\(428\) | 12.6707 | − | 32.0483i | 0.612463 | − | 1.54911i | ||||
\(429\) | − | 24.9966i | − | 1.20685i | ||||||
\(430\) | 0.498281 | − | 2.61555i | 0.0240292 | − | 0.126133i | ||||
\(431\) | −12.9966 | −0.626022 | −0.313011 | − | 0.949749i | \(-0.601338\pi\) | ||||
−0.313011 | + | 0.949749i | \(0.601338\pi\) | |||||||
\(432\) | −2.73534 | + | 2.91855i | −0.131604 | + | 0.140419i | ||||
\(433\) | 20.2277 | 0.972079 | 0.486040 | − | 0.873937i | \(-0.338441\pi\) | ||||
0.486040 | + | 0.873937i | \(0.338441\pi\) | |||||||
\(434\) | 0.886172 | − | 4.65164i | 0.0425376 | − | 0.223286i | ||||
\(435\) | − | 2.00000i | − | 0.0958927i | ||||||
\(436\) | −1.38445 | + | 3.50172i | −0.0663033 | + | 0.167702i | ||||
\(437\) | 1.12070i | 0.0536106i | ||||||||
\(438\) | 8.33537 | + | 1.58795i | 0.398279 | + | 0.0758752i | ||||
\(439\) | −5.43965 | −0.259620 | −0.129810 | − | 0.991539i | \(-0.541437\pi\) | ||||
−0.129810 | + | 0.991539i | \(0.541437\pi\) | |||||||
\(440\) | 6.80949 | − | 10.7474i | 0.324630 | − | 0.512363i | ||||
\(441\) | 6.11383 | 0.291135 | ||||||||
\(442\) | 58.3380 | + | 11.1138i | 2.77486 | + | 0.528631i | ||||
\(443\) | 15.3484i | 0.729223i | 0.931160 | + | 0.364611i | \(0.118798\pi\) | ||||
−0.931160 | + | 0.364611i | \(0.881202\pi\) | |||||||
\(444\) | −13.8371 | − | 5.47068i | −0.656679 | − | 0.259627i | ||||
\(445\) | 4.11727i | 0.195177i | ||||||||
\(446\) | −6.36641 | + | 33.4182i | −0.301458 | + | 1.58240i | ||||
\(447\) | 2.00000 | 0.0945968 | ||||||||
\(448\) | −3.21649 | − | 6.80949i | −0.151965 | − | 0.321718i | ||||
\(449\) | 4.22766 | 0.199515 | 0.0997577 | − | 0.995012i | \(-0.468193\pi\) | ||||
0.0997577 | + | 0.995012i | \(0.468193\pi\) | |||||||
\(450\) | 0.264658 | − | 1.38923i | 0.0124761 | − | 0.0654889i | ||||
\(451\) | 17.4656i | 0.822424i | ||||||||
\(452\) | −28.4983 | − | 11.2672i | −1.34045 | − | 0.529964i | ||||
\(453\) | − | 9.67418i | − | 0.454533i | ||||||
\(454\) | −15.4396 | − | 2.94137i | −0.724619 | − | 0.138045i | ||||
\(455\) | 5.23109 | 0.245238 | ||||||||
\(456\) | 1.60256 | − | 2.52932i | 0.0750466 | − | 0.118446i | ||||
\(457\) | 2.65164 | 0.124038 | 0.0620192 | − | 0.998075i | \(-0.480246\pi\) | ||||
0.0620192 | + | 0.998075i | \(0.480246\pi\) | |||||||
\(458\) | 23.9379 | + | 4.56035i | 1.11855 | + | 0.213091i | ||||
\(459\) | 7.55691i | 0.352727i | ||||||||
\(460\) | 0.778457 | − | 1.96896i | 0.0362958 | − | 0.0918034i | ||||
\(461\) | 10.2345i | 0.476670i | 0.971183 | + | 0.238335i | \(0.0766016\pi\) | ||||
−0.971183 | + | 0.238335i | \(0.923398\pi\) | |||||||
\(462\) | −1.12070 | + | 5.88273i | −0.0521399 | + | 0.273690i | ||||
\(463\) | 19.0586 | 0.885730 | 0.442865 | − | 0.896588i | \(-0.353962\pi\) | ||||
0.442865 | + | 0.896588i | \(0.353962\pi\) | |||||||
\(464\) | −5.47068 | + | 5.83709i | −0.253970 | + | 0.270980i | ||||
\(465\) | −3.55691 | −0.164948 | ||||||||
\(466\) | −2.23453 | + | 11.7294i | −0.103513 | + | 0.543353i | ||||
\(467\) | 4.11039i | 0.190206i | 0.995467 | + | 0.0951031i | \(0.0303181\pi\) | ||||
−0.995467 | + | 0.0951031i | \(0.969682\pi\) | |||||||
\(468\) | −4.08623 | + | 10.3354i | −0.188886 | + | 0.477753i | ||||
\(469\) | 3.76547i | 0.173873i | ||||||||
\(470\) | 13.9690 | + | 2.66119i | 0.644340 | + | 0.122752i | ||||
\(471\) | −4.32582 | −0.199323 | ||||||||
\(472\) | −20.3043 | − | 12.8647i | −0.934583 | − | 0.592145i | ||||
\(473\) | 8.46907 | 0.389408 | ||||||||
\(474\) | −16.0552 | − | 3.05863i | −0.737440 | − | 0.140488i | ||||
\(475\) | 1.05863i | 0.0485734i | ||||||||
\(476\) | −13.2311 | − | 5.23109i | −0.606446 | − | 0.239767i | ||||
\(477\) | 2.00000i | 0.0915737i | ||||||||
\(478\) | 2.67762 | − | 14.0552i | 0.122471 | − | 0.642870i | ||||
\(479\) | −25.2311 | −1.15284 | −0.576419 | − | 0.817154i | \(-0.695550\pi\) | ||||
−0.576419 | + | 0.817154i | \(0.695550\pi\) | |||||||
\(480\) | −4.57243 | + | 3.33060i | −0.208702 | + | 0.152020i | ||||
\(481\) | −41.3415 | −1.88501 | ||||||||
\(482\) | 4.46725 | − | 23.4492i | 0.203477 | − | 1.06808i | ||||
\(483\) | 0.996562i | 0.0453451i | ||||||||
\(484\) | 17.1754 | + | 6.79054i | 0.780701 | + | 0.308661i | ||||
\(485\) | − | 17.1138i | − | 0.777099i | ||||||
\(486\) | −1.38923 | − | 0.264658i | −0.0630167 | − | 0.0120051i | ||||
\(487\) | −21.9379 | −0.994102 | −0.497051 | − | 0.867721i | \(-0.665584\pi\) | ||||
−0.497051 | + | 0.867721i | \(0.665584\pi\) | |||||||
\(488\) | 21.4948 | + | 13.6190i | 0.973026 | + | 0.616502i | ||||
\(489\) | 6.11727 | 0.276632 | ||||||||
\(490\) | 8.49351 | + | 1.61808i | 0.383697 | + | 0.0730972i | ||||
\(491\) | 7.50172i | 0.338548i | 0.985569 | + | 0.169274i | \(0.0541423\pi\) | ||||
−0.985569 | + | 0.169274i | \(0.945858\pi\) | |||||||
\(492\) | 2.85514 | − | 7.22154i | 0.128719 | − | 0.325572i | ||||
\(493\) | 15.1138i | 0.680693i | ||||||||
\(494\) | 1.55691 | − | 8.17246i | 0.0700489 | − | 0.367696i | ||||
\(495\) | 4.49828 | 0.202183 | ||||||||
\(496\) | 10.3810 | + | 9.72938i | 0.466121 | + | 0.436862i | ||||
\(497\) | −12.2345 | −0.548794 | ||||||||
\(498\) | −1.55691 | + | 8.17246i | −0.0697670 | + | 0.366217i | ||||
\(499\) | 29.1690i | 1.30578i | 0.757451 | + | 0.652892i | \(0.226445\pi\) | ||||
−0.757451 | + | 0.652892i | \(0.773555\pi\) | |||||||
\(500\) | 0.735342 | − | 1.85991i | 0.0328855 | − | 0.0831778i | ||||
\(501\) | 6.05520i | 0.270526i | ||||||||
\(502\) | −16.4577 | − | 3.13531i | −0.734543 | − | 0.139936i | ||||
\(503\) | −23.9379 | −1.06734 | −0.533670 | − | 0.845693i | \(-0.679187\pi\) | ||||
−0.533670 | + | 0.845693i | \(0.679187\pi\) | |||||||
\(504\) | 1.42504 | − | 2.24914i | 0.0634763 | − | 0.100185i | ||||
\(505\) | −2.00000 | −0.0889988 | ||||||||
\(506\) | 6.61555 | + | 1.26031i | 0.294097 | + | 0.0560276i | ||||
\(507\) | 17.8793i | 0.794047i | ||||||||
\(508\) | 33.7992 | + | 13.3630i | 1.49960 | + | 0.592886i | ||||
\(509\) | − | 28.6967i | − | 1.27196i | −0.771706 | − | 0.635980i | \(-0.780596\pi\) | ||
0.771706 | − | 0.635980i | \(-0.219404\pi\) | |||||||
\(510\) | −2.00000 | + | 10.4983i | −0.0885615 | + | 0.464872i | ||||
\(511\) | −5.64820 | −0.249862 | ||||||||
\(512\) | 22.4552 | + | 2.78667i | 0.992387 | + | 0.123155i | ||||
\(513\) | 1.05863 | 0.0467398 | ||||||||
\(514\) | −2.82410 | + | 14.8241i | −0.124566 | + | 0.653863i | ||||
\(515\) | − | 10.1725i | − | 0.448252i | ||||||
\(516\) | −3.50172 | − | 1.38445i | −0.154155 | − | 0.0609471i | ||||
\(517\) | 45.2311i | 1.98926i | ||||||||
\(518\) | 9.72938 | + | 1.85352i | 0.427484 | + | 0.0814389i | ||||
\(519\) | −16.8793 | −0.740919 | ||||||||
\(520\) | −8.41205 | + | 13.2767i | −0.368893 | + | 0.582223i | ||||
\(521\) | 10.0000 | 0.438108 | 0.219054 | − | 0.975713i | \(-0.429703\pi\) | ||||
0.219054 | + | 0.975713i | \(0.429703\pi\) | |||||||
\(522\) | −2.77846 | − | 0.529317i | −0.121610 | − | 0.0231676i | ||||
\(523\) | − | 25.7586i | − | 1.12634i | −0.826340 | − | 0.563172i | \(-0.809581\pi\) | ||
0.826340 | − | 0.563172i | \(-0.190419\pi\) | |||||||
\(524\) | 4.69223 | − | 11.8681i | 0.204981 | − | 0.518461i | ||||
\(525\) | 0.941367i | 0.0410846i | ||||||||
\(526\) | −0.514709 | + | 2.70178i | −0.0224424 | + | 0.117803i | ||||
\(527\) | 26.8793 | 1.17088 | ||||||||
\(528\) | −13.1284 | − | 12.3043i | −0.571342 | − | 0.535477i | ||||
\(529\) | −21.8793 | −0.951274 | ||||||||
\(530\) | −0.529317 | + | 2.77846i | −0.0229920 | + | 0.120688i | ||||
\(531\) | − | 8.49828i | − | 0.368794i | ||||||
\(532\) | −0.732814 | + | 1.85352i | −0.0317715 | + | 0.0803602i | ||||
\(533\) | − | 21.5760i | − | 0.934561i | ||||||
\(534\) | 5.71982 | + | 1.08967i | 0.247521 | + | 0.0471546i | ||||
\(535\) | 17.2311 | 0.744965 | ||||||||
\(536\) | −9.55691 | − | 6.05520i | −0.412796 | − | 0.261545i | ||||
\(537\) | −10.6155 | −0.458095 | ||||||||
\(538\) | −13.5665 | − | 2.58451i | −0.584892 | − | 0.111426i | ||||
\(539\) | 27.5017i | 1.18458i | ||||||||
\(540\) | −1.85991 | − | 0.735342i | −0.0800379 | − | 0.0316441i | ||||
\(541\) | − | 12.3449i | − | 0.530750i | −0.964145 | − | 0.265375i | \(-0.914504\pi\) | ||
0.964145 | − | 0.265375i | \(-0.0854957\pi\) | |||||||
\(542\) | 0.912151 | − | 4.78801i | 0.0391802 | − | 0.205663i | ||||
\(543\) | −14.1173 | −0.605830 | ||||||||
\(544\) | 34.5535 | − | 25.1690i | 1.48147 | − | 1.07911i | ||||
\(545\) | −1.88273 | −0.0806475 | ||||||||
\(546\) | 1.38445 | − | 7.26719i | 0.0592491 | − | 0.311007i | ||||
\(547\) | 19.8759i | 0.849830i | 0.905233 | + | 0.424915i | \(0.139696\pi\) | ||||
−0.905233 | + | 0.424915i | \(0.860304\pi\) | |||||||
\(548\) | 8.26375 | + | 3.26719i | 0.353010 | + | 0.139567i | ||||
\(549\) | 8.99656i | 0.383964i | ||||||||
\(550\) | 6.24914 | + | 1.19051i | 0.266464 | + | 0.0507634i | ||||
\(551\) | 2.11727 | 0.0901986 | ||||||||
\(552\) | −2.52932 | − | 1.60256i | −0.107655 | − | 0.0682094i | ||||
\(553\) | 10.8793 | 0.462635 | ||||||||
\(554\) | 26.1008 | + | 4.97240i | 1.10892 | + | 0.211257i | ||||
\(555\) | − | 7.43965i | − | 0.315795i | ||||||
\(556\) | −14.8337 | + | 37.5190i | −0.629087 | + | 1.59116i | ||||
\(557\) | − | 3.12070i | − | 0.132228i | −0.997812 | − | 0.0661142i | \(-0.978940\pi\) | ||
0.997812 | − | 0.0661142i | \(-0.0210602\pi\) | |||||||
\(558\) | −0.941367 | + | 4.94137i | −0.0398512 | + | 0.209185i | ||||
\(559\) | −10.4622 | −0.442503 | ||||||||
\(560\) | 2.57496 | − | 2.74742i | 0.108812 | − | 0.116100i | ||||
\(561\) | −33.9931 | −1.43519 | ||||||||
\(562\) | −4.46725 | + | 23.4492i | −0.188439 | + | 0.989145i | ||||
\(563\) | 0.651639i | 0.0274633i | 0.999906 | + | 0.0137317i | \(0.00437106\pi\) | ||||
−0.999906 | + | 0.0137317i | \(0.995629\pi\) | |||||||
\(564\) | 7.39400 | − | 18.7018i | 0.311344 | − | 0.787487i | ||||
\(565\) | − | 15.3224i | − | 0.644617i | ||||||
\(566\) | −27.7846 | − | 5.29317i | −1.16787 | − | 0.222488i | ||||
\(567\) | 0.941367 | 0.0395337 | ||||||||
\(568\) | 19.6742 | − | 31.0518i | 0.825510 | − | 1.30290i | ||||
\(569\) | 26.9966 | 1.13175 | 0.565877 | − | 0.824489i | \(-0.308538\pi\) | ||||
0.565877 | + | 0.824489i | \(0.308538\pi\) | |||||||
\(570\) | 1.47068 | + | 0.280176i | 0.0616001 | + | 0.0117353i | ||||
\(571\) | − | 14.9414i | − | 0.625277i | −0.949872 | − | 0.312638i | \(-0.898787\pi\) | ||
0.949872 | − | 0.312638i | \(-0.101213\pi\) | |||||||
\(572\) | −46.4914 | − | 18.3810i | −1.94390 | − | 0.768549i | ||||
\(573\) | 8.00000i | 0.334205i | ||||||||
\(574\) | −0.967346 | + | 5.07774i | −0.0403763 | + | 0.211941i | ||||
\(575\) | 1.05863 | 0.0441481 | ||||||||
\(576\) | 3.41683 | + | 7.23362i | 0.142368 | + | 0.301401i | ||||
\(577\) | −8.87930 | −0.369650 | −0.184825 | − | 0.982771i | \(-0.559172\pi\) | ||||
−0.184825 | + | 0.982771i | \(0.559172\pi\) | |||||||
\(578\) | 10.6146 | − | 55.7177i | 0.441511 | − | 2.31755i | ||||
\(579\) | 4.87930i | 0.202777i | ||||||||
\(580\) | −3.71982 | − | 1.47068i | −0.154457 | − | 0.0610668i | ||||
\(581\) | − | 5.53781i | − | 0.229747i | ||||||
\(582\) | −23.7750 | − | 4.52932i | −0.985506 | − | 0.187746i | ||||
\(583\) | −8.99656 | −0.372600 | ||||||||
\(584\) | 9.08279 | − | 14.3354i | 0.375849 | − | 0.593202i | ||||
\(585\) | −5.55691 | −0.229750 | ||||||||
\(586\) | 28.1008 | + | 5.35342i | 1.16083 | + | 0.221148i | ||||
\(587\) | − | 1.23109i | − | 0.0508127i | −0.999677 | − | 0.0254064i | \(-0.991912\pi\) | ||
0.999677 | − | 0.0254064i | \(-0.00808797\pi\) | |||||||
\(588\) | 4.49575 | − | 11.3712i | 0.185402 | − | 0.468940i | ||||
\(589\) | − | 3.76547i | − | 0.155153i | ||||||
\(590\) | 2.24914 | − | 11.8061i | 0.0925957 | − | 0.486048i | ||||
\(591\) | 2.88617 | 0.118721 | ||||||||
\(592\) | −20.3500 | + | 21.7129i | −0.836379 | + | 0.892397i | ||||
\(593\) | 3.55691 | 0.146065 | 0.0730325 | − | 0.997330i | \(-0.476732\pi\) | ||||
0.0730325 | + | 0.997330i | \(0.476732\pi\) | |||||||
\(594\) | 1.19051 | − | 6.24914i | 0.0488471 | − | 0.256405i | ||||
\(595\) | − | 7.11383i | − | 0.291639i | ||||||
\(596\) | 1.47068 | − | 3.71982i | 0.0602415 | − | 0.152370i | ||||
\(597\) | 17.6742i | 0.723356i | ||||||||
\(598\) | −8.17246 | − | 1.55691i | −0.334197 | − | 0.0636670i | ||||
\(599\) | −19.2242 | −0.785480 | −0.392740 | − | 0.919649i | \(-0.628473\pi\) | ||||
−0.392740 | + | 0.919649i | \(0.628473\pi\) | |||||||
\(600\) | −2.38923 | − | 1.51380i | −0.0975398 | − | 0.0618006i | ||||
\(601\) | −27.7586 | −1.13230 | −0.566148 | − | 0.824303i | \(-0.691567\pi\) | ||||
−0.566148 | + | 0.824303i | \(0.691567\pi\) | |||||||
\(602\) | 2.46219 | + | 0.469065i | 0.100351 | + | 0.0191177i | ||||
\(603\) | − | 4.00000i | − | 0.162893i | ||||||
\(604\) | −17.9931 | − | 7.11383i | −0.732130 | − | 0.289458i | ||||
\(605\) | 9.23453i | 0.375437i | ||||||||
\(606\) | −0.529317 | + | 2.77846i | −0.0215020 | + | 0.112867i | ||||
\(607\) | 7.16902 | 0.290982 | 0.145491 | − | 0.989360i | \(-0.453524\pi\) | ||||
0.145491 | + | 0.989360i | \(0.453524\pi\) | |||||||
\(608\) | −3.52588 | − | 4.84053i | −0.142993 | − | 0.196309i | ||||
\(609\) | 1.88273 | 0.0762922 | ||||||||
\(610\) | −2.38101 | + | 12.4983i | −0.0964045 | + | 0.506041i | ||||
\(611\) | − | 55.8759i | − | 2.26050i | ||||||
\(612\) | 14.0552 | + | 5.55691i | 0.568148 | + | 0.224625i | ||||
\(613\) | − | 9.55691i | − | 0.386000i | −0.981199 | − | 0.193000i | \(-0.938178\pi\) | ||
0.981199 | − | 0.193000i | \(-0.0618218\pi\) | |||||||
\(614\) | −11.2672 | − | 2.14648i | −0.454707 | − | 0.0866250i | ||||
\(615\) | 3.88273 | 0.156567 | ||||||||
\(616\) | 10.1173 | + | 6.41023i | 0.407636 | + | 0.258276i | ||||
\(617\) | 1.32926 | 0.0535139 | 0.0267569 | − | 0.999642i | \(-0.491482\pi\) | ||||
0.0267569 | + | 0.999642i | \(0.491482\pi\) | |||||||
\(618\) | −14.1319 | − | 2.69223i | −0.568467 | − | 0.108297i | ||||
\(619\) | − | 28.1725i | − | 1.13235i | −0.824286 | − | 0.566173i | \(-0.808423\pi\) | ||
0.824286 | − | 0.566173i | \(-0.191577\pi\) | |||||||
\(620\) | −2.61555 | + | 6.61555i | −0.105043 | + | 0.265687i | ||||
\(621\) | − | 1.05863i | − | 0.0424815i | ||||||
\(622\) | 8.43621 | − | 44.2829i | 0.338261 | − | 1.77558i | ||||
\(623\) | −3.87586 | −0.155283 | ||||||||
\(624\) | 16.2181 | + | 15.2001i | 0.649244 | + | 0.608489i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −1.35342 | + | 7.10428i | −0.0540934 | + | 0.283944i | ||||
\(627\) | 4.76203i | 0.190177i | ||||||||
\(628\) | −3.18096 | + | 8.04564i | −0.126934 | + | 0.321056i | ||||
\(629\) | 56.2208i | 2.24167i | ||||||||
\(630\) | 1.30777 | + | 0.249141i | 0.0521030 | + | 0.00992600i | ||||
\(631\) | −23.3224 | −0.928449 | −0.464225 | − | 0.885717i | \(-0.653667\pi\) | ||||
−0.464225 | + | 0.885717i | \(0.653667\pi\) | |||||||
\(632\) | −17.4948 | + | 27.6121i | −0.695907 | + | 1.09835i | ||||
\(633\) | 23.9379 | 0.951447 | ||||||||
\(634\) | −34.2372 | − | 6.52244i | −1.35973 | − | 0.259039i | ||||
\(635\) | 18.1725i | 0.721152i | ||||||||
\(636\) | 3.71982 | + | 1.47068i | 0.147501 | + | 0.0583164i | ||||
\(637\) | − | 33.9740i | − | 1.34610i | ||||||
\(638\) | 2.38101 | − | 12.4983i | 0.0942653 | − | 0.494812i | ||||
\(639\) | 12.9966 | 0.514136 | ||||||||
\(640\) | 2.83231 | + | 10.9534i | 0.111957 | + | 0.432973i | ||||
\(641\) | 27.1070 | 1.07066 | 0.535330 | − | 0.844643i | \(-0.320187\pi\) | ||||
0.535330 | + | 0.844643i | \(0.320187\pi\) | |||||||
\(642\) | 4.56035 | − | 23.9379i | 0.179983 | − | 0.944755i | ||||
\(643\) | − | 20.3449i | − | 0.802325i | −0.916007 | − | 0.401163i | \(-0.868606\pi\) | ||
0.916007 | − | 0.401163i | \(-0.131394\pi\) | |||||||
\(644\) | 1.85352 | + | 0.732814i | 0.0730388 | + | 0.0288769i | ||||
\(645\) | − | 1.88273i | − | 0.0741326i | ||||||
\(646\) | −11.1138 | − | 2.11727i | −0.437268 | − | 0.0833027i | ||||
\(647\) | 37.6965 | 1.48200 | 0.741002 | − | 0.671503i | \(-0.234351\pi\) | ||||
0.741002 | + | 0.671503i | \(0.234351\pi\) | |||||||
\(648\) | −1.51380 | + | 2.38923i | −0.0594676 | + | 0.0938578i | ||||
\(649\) | 38.2277 | 1.50057 | ||||||||
\(650\) | −7.71982 | − | 1.47068i | −0.302796 | − | 0.0576849i | ||||
\(651\) | − | 3.34836i | − | 0.131233i | ||||||
\(652\) | 4.49828 | − | 11.3776i | 0.176166 | − | 0.445580i | ||||
\(653\) | 8.64476i | 0.338296i | 0.985591 | + | 0.169148i | \(0.0541015\pi\) | ||||
−0.985591 | + | 0.169148i | \(0.945898\pi\) | |||||||
\(654\) | −0.498281 | + | 2.61555i | −0.0194843 | + | 0.102276i | ||||
\(655\) | 6.38101 | 0.249327 | ||||||||
\(656\) | −11.3319 | − | 10.6206i | −0.442438 | − | 0.414665i | ||||
\(657\) | 6.00000 | 0.234082 | ||||||||
\(658\) | −2.50516 | + | 13.1499i | −0.0976612 | + | 0.512637i | ||||
\(659\) | − | 29.2603i | − | 1.13982i | −0.821707 | − | 0.569910i | \(-0.806978\pi\) | ||
0.821707 | − | 0.569910i | \(-0.193022\pi\) | |||||||
\(660\) | 3.30777 | − | 8.36641i | 0.128755 | − | 0.325662i | ||||
\(661\) | − | 28.7620i | − | 1.11871i | −0.828927 | − | 0.559357i | \(-0.811048\pi\) | ||
0.828927 | − | 0.559357i | \(-0.188952\pi\) | |||||||
\(662\) | 15.3534 | + | 2.92494i | 0.596728 | + | 0.113681i | ||||
\(663\) | 41.9931 | 1.63088 | ||||||||
\(664\) | 14.0552 | + | 8.90528i | 0.545447 | + | 0.345592i | ||||
\(665\) | −0.996562 | −0.0386450 | ||||||||
\(666\) | −10.3354 | − | 1.96896i | −0.400488 | − | 0.0762958i | ||||
\(667\) | − | 2.11727i | − | 0.0819809i | ||||||
\(668\) | 11.2621 | + | 4.45264i | 0.435745 | + | 0.172278i | ||||
\(669\) | 24.0552i | 0.930028i | ||||||||
\(670\) | 1.05863 | − | 5.55691i | 0.0408986 | − | 0.214682i | ||||
\(671\) | −40.4691 | −1.56229 | ||||||||
\(672\) | −3.13531 | − | 4.30434i | −0.120947 | − | 0.166043i | ||||
\(673\) | −18.0000 | −0.693849 | −0.346925 | − | 0.937893i | \(-0.612774\pi\) | ||||
−0.346925 | + | 0.937893i | \(0.612774\pi\) | |||||||
\(674\) | −5.29135 | + | 27.7750i | −0.203815 | + | 1.06985i | ||||
\(675\) | − | 1.00000i | − | 0.0384900i | ||||||
\(676\) | 33.2539 | + | 13.1474i | 1.27900 | + | 0.505669i | ||||
\(677\) | 42.8724i | 1.64772i | 0.566793 | + | 0.823860i | \(0.308184\pi\) | ||||
−0.566793 | + | 0.823860i | \(0.691816\pi\) | |||||||
\(678\) | −21.2863 | − | 4.05520i | −0.817495 | − | 0.155739i | ||||
\(679\) | 16.1104 | 0.618260 | ||||||||
\(680\) | 18.0552 | + | 11.4396i | 0.692385 | + | 0.438690i | ||||
\(681\) | −11.1138 | −0.425883 | ||||||||
\(682\) | −22.2277 | − | 4.23453i | −0.851141 | − | 0.162149i | ||||
\(683\) | 26.1173i | 0.999349i | 0.866213 | + | 0.499675i | \(0.166547\pi\) | ||||
−0.866213 | + | 0.499675i | \(0.833453\pi\) | |||||||
\(684\) | 0.778457 | − | 1.96896i | 0.0297651 | − | 0.0752852i | ||||
\(685\) | 4.44309i | 0.169762i | ||||||||
\(686\) | −3.26719 | + | 17.1499i | −0.124742 | + | 0.654787i | ||||
\(687\) | 17.2311 | 0.657407 | ||||||||
\(688\) | −5.14992 | + | 5.49484i | −0.196339 | + | 0.209489i | ||||
\(689\) | 11.1138 | 0.423403 | ||||||||
\(690\) | 0.280176 | − | 1.47068i | 0.0106661 | − | 0.0559880i | ||||
\(691\) | 5.29317i | 0.201362i | 0.994919 | + | 0.100681i | \(0.0321021\pi\) | ||||
−0.994919 | + | 0.100681i | \(0.967898\pi\) | |||||||
\(692\) | −12.4121 | + | 31.3940i | −0.471835 | + | 1.19342i | ||||
\(693\) | 4.23453i | 0.160857i | ||||||||
\(694\) | 9.55691 | + | 1.82066i | 0.362776 | + | 0.0691114i | ||||
\(695\) | −20.1725 | −0.765185 | ||||||||
\(696\) | −3.02760 | + | 4.77846i | −0.114761 | + | 0.181127i | ||||
\(697\) | −29.3415 | −1.11139 | ||||||||
\(698\) | 6.61555 | + | 1.26031i | 0.250402 | + | 0.0477035i | ||||
\(699\) | 8.44309i | 0.319347i | ||||||||
\(700\) | 1.75086 | + | 0.692226i | 0.0661763 | + | 0.0261637i | ||||
\(701\) | − | 7.99312i | − | 0.301896i | −0.988542 | − | 0.150948i | \(-0.951767\pi\) | ||
0.988542 | − | 0.150948i | \(-0.0482326\pi\) | |||||||
\(702\) | −1.47068 | + | 7.71982i | −0.0555074 | + | 0.291366i | ||||
\(703\) | 7.87586 | 0.297044 | ||||||||
\(704\) | −32.5389 | + | 15.3698i | −1.22635 | + | 0.579273i | ||||
\(705\) | 10.0552 | 0.378701 | ||||||||
\(706\) | −1.00344 | + | 5.26719i | −0.0377649 | + | 0.198233i | ||||
\(707\) | − | 1.88273i | − | 0.0708075i | ||||||
\(708\) | −15.8061 | − | 6.24914i | −0.594028 | − | 0.234857i | ||||
\(709\) | 28.9966i | 1.08899i | 0.838764 | + | 0.544494i | \(0.183278\pi\) | ||||
−0.838764 | + | 0.544494i | \(0.816722\pi\) | |||||||
\(710\) | 18.0552 | + | 3.43965i | 0.677599 | + | 0.129088i | ||||
\(711\) | −11.5569 | −0.433418 | ||||||||
\(712\) | 6.23271 | − | 9.83709i | 0.233581 | − | 0.368661i | ||||
\(713\) | −3.76547 | −0.141018 | ||||||||
\(714\) | −9.88273 | − | 1.88273i | −0.369852 | − | 0.0704595i | ||||
\(715\) | − | 24.9966i | − | 0.934818i | ||||||
\(716\) | −7.80605 | + | 19.7440i | −0.291726 | + | 0.737867i | ||||
\(717\) | − | 10.1173i | − | 0.377836i | ||||||
\(718\) | −3.43965 | + | 18.0552i | −0.128367 | + | 0.673814i | ||||
\(719\) | 26.8793 | 1.00243 | 0.501214 | − | 0.865323i | \(-0.332887\pi\) | ||||
0.501214 | + | 0.865323i | \(0.332887\pi\) | |||||||
\(720\) | −2.73534 | + | 2.91855i | −0.101940 | + | 0.108768i | ||||
\(721\) | 9.57602 | 0.356630 | ||||||||
\(722\) | 4.73190 | − | 24.8384i | 0.176103 | − | 0.924391i | ||||
\(723\) | − | 16.8793i | − | 0.627748i | ||||||
\(724\) | −10.3810 | + | 26.2569i | −0.385807 | + | 0.975829i | ||||
\(725\) | − | 2.00000i | − | 0.0742781i | ||||||
\(726\) | 12.8289 | + | 2.44400i | 0.476124 | + | 0.0907052i | ||||
\(727\) | 41.8138 | 1.55079 | 0.775394 | − | 0.631478i | \(-0.217551\pi\) | ||||
0.775394 | + | 0.631478i | \(0.217551\pi\) | |||||||
\(728\) | −12.4983 | − | 7.91883i | −0.463217 | − | 0.293491i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 8.33537 | + | 1.58795i | 0.308506 | + | 0.0587727i | ||||
\(731\) | 14.2277i | 0.526229i | ||||||||
\(732\) | 16.7328 | + | 6.61555i | 0.618463 | + | 0.244518i | ||||
\(733\) | − | 30.0844i | − | 1.11119i | −0.831452 | − | 0.555597i | \(-0.812490\pi\) | ||
0.831452 | − | 0.555597i | \(-0.187510\pi\) | |||||||
\(734\) | 6.06980 | − | 31.8613i | 0.224041 | − | 1.17602i | ||||
\(735\) | 6.11383 | 0.225512 | ||||||||
\(736\) | −4.84053 | + | 3.52588i | −0.178424 | + | 0.129966i | ||||
\(737\) | 17.9931 | 0.662785 | ||||||||
\(738\) | 1.02760 | − | 5.39400i | 0.0378264 | − | 0.198556i | ||||
\(739\) | − | 29.0449i | − | 1.06843i | −0.845348 | − | 0.534217i | \(-0.820607\pi\) | ||
0.845348 | − | 0.534217i | \(-0.179393\pi\) | |||||||
\(740\) | −13.8371 | − | 5.47068i | −0.508662 | − | 0.201106i | ||||
\(741\) | − | 5.88273i | − | 0.216108i | ||||||
\(742\) | −2.61555 | − | 0.498281i | −0.0960198 | − | 0.0182925i | ||||
\(743\) | −43.2863 | −1.58802 | −0.794010 | − | 0.607905i | \(-0.792010\pi\) | ||||
−0.794010 | + | 0.607905i | \(0.792010\pi\) | |||||||
\(744\) | 8.49828 | + | 5.38445i | 0.311562 | + | 0.197404i | ||||
\(745\) | 2.00000 | 0.0732743 | ||||||||
\(746\) | −21.4492 | − | 4.08623i | −0.785311 | − | 0.149608i | ||||
\(747\) | 5.88273i | 0.215238i | ||||||||
\(748\) | −24.9966 | + | 63.2242i | −0.913965 | + | 2.31171i | ||||
\(749\) | 16.2208i | 0.592694i | ||||||||
\(750\) | 0.264658 | − | 1.38923i | 0.00966395 | − | 0.0507275i | ||||
\(751\) | 41.7846 | 1.52474 | 0.762370 | − | 0.647141i | \(-0.224036\pi\) | ||||
0.762370 | + | 0.647141i | \(0.224036\pi\) | |||||||
\(752\) | −29.3465 | − | 27.5044i | −1.07016 | − | 1.00298i | ||||
\(753\) | −11.8466 | −0.431716 | ||||||||
\(754\) | −2.94137 | + | 15.4396i | −0.107118 | + | 0.562279i | ||||
\(755\) | − | 9.67418i | − | 0.352079i | ||||||
\(756\) | 0.692226 | − | 1.75086i | 0.0251760 | − | 0.0636781i | ||||
\(757\) | 16.3258i | 0.593372i | 0.954975 | + | 0.296686i | \(0.0958815\pi\) | ||||
−0.954975 | + | 0.296686i | \(0.904119\pi\) | |||||||
\(758\) | 8.73787 | + | 1.66463i | 0.317374 | + | 0.0604620i | ||||
\(759\) | 4.76203 | 0.172851 | ||||||||
\(760\) | 1.60256 | − | 2.52932i | 0.0581309 | − | 0.0917480i | ||||
\(761\) | 50.2208 | 1.82050 | 0.910251 | − | 0.414057i | \(-0.135889\pi\) | ||||
0.910251 | + | 0.414057i | \(0.135889\pi\) | |||||||
\(762\) | 25.2457 | + | 4.80949i | 0.914555 | + | 0.174230i | ||||
\(763\) | − | 1.77234i | − | 0.0641631i | ||||||
\(764\) | 14.8793 | + | 5.88273i | 0.538314 | + | 0.212830i | ||||
\(765\) | 7.55691i | 0.273221i | ||||||||
\(766\) | 0.778457 | − | 4.08623i | 0.0281268 | − | 0.147642i | ||||
\(767\) | −47.2242 | −1.70517 | ||||||||
\(768\) | 15.9664 | − | 1.03581i | 0.576139 | − | 0.0373766i | ||||
\(769\) | −31.3415 | −1.13020 | −0.565101 | − | 0.825021i | \(-0.691163\pi\) | ||||
−0.565101 | + | 0.825021i | \(0.691163\pi\) | |||||||
\(770\) | −1.12070 | + | 5.88273i | −0.0403874 | + | 0.211999i | ||||
\(771\) | 10.6707i | 0.384297i | ||||||||
\(772\) | 9.07506 | + | 3.58795i | 0.326619 | + | 0.129133i | ||||
\(773\) | 9.11383i | 0.327802i | 0.986477 | + | 0.163901i | \(0.0524077\pi\) | ||||
−0.986477 | + | 0.163901i | \(0.947592\pi\) | |||||||
\(774\) | −2.61555 | − | 0.498281i | −0.0940139 | − | 0.0179103i | ||||
\(775\) | −3.55691 | −0.127768 | ||||||||
\(776\) | −25.9069 | + | 40.8888i | −0.930003 | + | 1.46782i | ||||
\(777\) | 7.00344 | 0.251247 | ||||||||
\(778\) | −16.9870 | − | 3.23615i | −0.609014 | − | 0.116022i | ||||
\(779\) | 4.11039i | 0.147270i | ||||||||
\(780\) | −4.08623 | + | 10.3354i | −0.146311 | + | 0.370066i | ||||
\(781\) | 58.4622i | 2.09194i | ||||||||
\(782\) | −2.11727 | + | 11.1138i | −0.0757133 | + | 0.397430i | ||||
\(783\) | −2.00000 | −0.0714742 | ||||||||
\(784\) | −17.8435 | − | 16.7234i | −0.637267 | − | 0.597265i | ||||
\(785\) | −4.32582 | −0.154395 | ||||||||
\(786\) | 1.68879 | − | 8.86469i | 0.0602371 | − | 0.316193i | ||||
\(787\) | − | 36.2208i | − | 1.29113i | −0.763705 | − | 0.645566i | \(-0.776622\pi\) | ||
0.763705 | − | 0.645566i | \(-0.223378\pi\) | |||||||
\(788\) | 2.12232 | − | 5.36802i | 0.0756046 | − | 0.191228i | ||||
\(789\) | 1.94480i | 0.0692369i | ||||||||
\(790\) | −16.0552 | − | 3.05863i | −0.571218 | − | 0.108821i | ||||
\(791\) | 14.4240 | 0.512858 | ||||||||
\(792\) | −10.7474 | − | 6.80949i | −0.381893 | − | 0.241965i | ||||
\(793\) | 49.9931 | 1.77531 | ||||||||
\(794\) | 7.39400 | + | 1.40861i | 0.262403 | + | 0.0499898i | ||||
\(795\) | 2.00000i | 0.0709327i | ||||||||
\(796\) | 32.8724 | + | 12.9966i | 1.16513 | + | 0.460651i | ||||
\(797\) | − | 10.0000i | − | 0.354218i | −0.984191 | − | 0.177109i | \(-0.943325\pi\) | ||
0.984191 | − | 0.177109i | \(-0.0566745\pi\) | |||||||
\(798\) | −0.263748 | + | 1.38445i | −0.00933659 | + | 0.0490091i | ||||
\(799\) | −75.9862 | −2.68820 | ||||||||
\(800\) | −4.57243 | + | 3.33060i | −0.161660 | + | 0.117754i | ||||
\(801\) | 4.11727 | 0.145476 | ||||||||
\(802\) | 1.85170 | − | 9.71982i | 0.0653857 | − | 0.343219i | ||||
\(803\) | 26.9897i | 0.952445i | ||||||||
\(804\) | −7.43965 | − | 2.94137i | −0.262376 | − | 0.103734i | ||||
\(805\) | 0.996562i | 0.0351242i | ||||||||
\(806\) | 27.4588 | + | 5.23109i | 0.967193 | + | 0.184257i | ||||
\(807\) | −9.76547 | −0.343761 | ||||||||
\(808\) | 4.77846 | + | 3.02760i | 0.168106 | + | 0.106511i | ||||
\(809\) | 47.5760 | 1.67268 | 0.836342 | − | 0.548208i | \(-0.184690\pi\) | ||||
0.836342 | + | 0.548208i | \(0.184690\pi\) | |||||||
\(810\) | −1.38923 | − | 0.264658i | −0.0488125 | − | 0.00929914i | ||||
\(811\) | − | 20.5174i | − | 0.720463i | −0.932863 | − | 0.360231i | \(-0.882698\pi\) | ||
0.932863 | − | 0.360231i | \(-0.117302\pi\) | |||||||
\(812\) | 1.38445 | − | 3.50172i | 0.0485848 | − | 0.122886i | ||||
\(813\) | − | 3.44652i | − | 0.120875i | ||||||
\(814\) | 8.85696 | − | 46.4914i | 0.310436 | − | 1.62952i | ||||
\(815\) | 6.11727 | 0.214278 | ||||||||
\(816\) | 20.6707 | − | 22.0552i | 0.723621 | − | 0.772086i | ||||
\(817\) | 1.99312 | 0.0697306 | ||||||||
\(818\) | 4.29478 | − | 22.5439i | 0.150164 | − | 0.788230i | ||||
\(819\) | − | 5.23109i | − | 0.182789i | ||||||
\(820\) | 2.85514 | − | 7.22154i | 0.0997057 | − | 0.252187i | ||||
\(821\) | − | 44.4622i | − | 1.55174i | −0.630892 | − | 0.775871i | \(-0.717311\pi\) | ||
0.630892 | − | 0.775871i | \(-0.282689\pi\) | |||||||
\(822\) | 6.17246 | + | 1.17590i | 0.215289 | + | 0.0410142i | ||||
\(823\) | 32.1656 | 1.12122 | 0.560611 | − | 0.828079i | \(-0.310566\pi\) | ||||
0.560611 | + | 0.828079i | \(0.310566\pi\) | |||||||
\(824\) | −15.3991 | + | 24.3043i | −0.536452 | + | 0.846682i | ||||
\(825\) | 4.49828 | 0.156610 | ||||||||
\(826\) | 11.1138 | + | 2.11727i | 0.386700 | + | 0.0736691i | ||||
\(827\) | 20.0000i | 0.695468i | 0.937593 | + | 0.347734i | \(0.113049\pi\) | ||||
−0.937593 | + | 0.347734i | \(0.886951\pi\) | |||||||
\(828\) | −1.96896 | − | 0.778457i | −0.0684262 | − | 0.0270533i | ||||
\(829\) | − | 33.8827i | − | 1.17680i | −0.808571 | − | 0.588398i | \(-0.799759\pi\) | ||
0.808571 | − | 0.588398i | \(-0.200241\pi\) | |||||||
\(830\) | −1.55691 | + | 8.17246i | −0.0540413 | + | 0.283670i | ||||
\(831\) | 18.7880 | 0.651749 | ||||||||
\(832\) | 40.1966 | − | 18.9870i | 1.39357 | − | 0.658256i | ||||
\(833\) | −46.2017 | −1.60079 | ||||||||
\(834\) | −5.33881 | + | 28.0242i | −0.184868 | + | 0.970397i | ||||
\(835\) | 6.05520i | 0.209549i | ||||||||
\(836\) | 8.85696 | + | 3.50172i | 0.306324 | + | 0.121109i | ||||
\(837\) | 3.55691i | 0.122945i | ||||||||
\(838\) | 21.6888 | + | 4.13187i | 0.749227 | + | 0.142733i | ||||
\(839\) | 4.52750 | 0.156307 | 0.0781533 | − | 0.996941i | \(-0.475098\pi\) | ||||
0.0781533 | + | 0.996941i | \(0.475098\pi\) | |||||||
\(840\) | 1.42504 | − | 2.24914i | 0.0491686 | − | 0.0776027i | ||||
\(841\) | 25.0000 | 0.862069 | ||||||||
\(842\) | −46.1656 | − | 8.79488i | −1.59097 | − | 0.303092i | ||||
\(843\) | 16.8793i | 0.581354i | ||||||||
\(844\) | 17.6026 | − | 44.5224i | 0.605905 | − | 1.53253i | ||||
\(845\) | 17.8793i | 0.615066i | ||||||||
\(846\) | 2.66119 | − | 13.9690i | 0.0914936 | − | 0.480263i | ||||
\(847\) | −8.69308 | −0.298698 | ||||||||
\(848\) | 5.47068 | − | 5.83709i | 0.187864 | − | 0.200447i | ||||
\(849\) | −20.0000 | −0.686398 | ||||||||
\(850\) | −2.00000 | + | 10.4983i | −0.0685994 | + | 0.360088i | ||||
\(851\) | − | 7.87586i | − | 0.269981i | ||||||
\(852\) | 9.55691 | − | 24.1725i | 0.327414 | − | 0.828135i | ||||
\(853\) | 50.4293i | 1.72667i | 0.504633 | + | 0.863334i | \(0.331628\pi\) | ||||
−0.504633 | + | 0.863334i | \(0.668372\pi\) | |||||||
\(854\) | −11.7655 | − | 2.24141i | −0.402606 | − | 0.0766994i | ||||
\(855\) | 1.05863 | 0.0362045 | ||||||||
\(856\) | −41.1690 | − | 26.0844i | −1.40713 | − | 0.891547i | ||||
\(857\) | 26.4362 | 0.903044 | 0.451522 | − | 0.892260i | \(-0.350881\pi\) | ||||
0.451522 | + | 0.892260i | \(0.350881\pi\) | |||||||
\(858\) | −34.7259 | − | 6.61555i | −1.18552 | − | 0.225851i | ||||
\(859\) | − | 0.406994i | − | 0.0138865i | −0.999976 | − | 0.00694323i | \(-0.997790\pi\) | ||
0.999976 | − | 0.00694323i | \(-0.00221012\pi\) | |||||||
\(860\) | −3.50172 | − | 1.38445i | −0.119408 | − | 0.0472094i | ||||
\(861\) | 3.65508i | 0.124565i | ||||||||
\(862\) | −3.43965 | + | 18.0552i | −0.117155 | + | 0.614962i | ||||
\(863\) | −29.9311 | −1.01886 | −0.509432 | − | 0.860511i | \(-0.670145\pi\) | ||||
−0.509432 | + | 0.860511i | \(0.670145\pi\) | |||||||
\(864\) | 3.33060 | + | 4.57243i | 0.113309 | + | 0.155557i | ||||
\(865\) | −16.8793 | −0.573913 | ||||||||
\(866\) | 5.35342 | − | 28.1008i | 0.181917 | − | 0.954905i | ||||
\(867\) | − | 40.1070i | − | 1.36210i | ||||||
\(868\) | −6.22766 | − | 2.46219i | −0.211380 | − | 0.0835722i | ||||
\(869\) | − | 51.9862i | − | 1.76351i | ||||||
\(870\) | −2.77846 | − | 0.529317i | −0.0941985 | − | 0.0179455i | ||||
\(871\) | −22.2277 | −0.753155 | ||||||||
\(872\) | 4.49828 | + | 2.85008i | 0.152331 | + | 0.0965159i | ||||
\(873\) | −17.1138 | −0.579215 | ||||||||
\(874\) | 1.55691 | + | 0.296604i | 0.0526634 | + | 0.0100328i | ||||
\(875\) | 0.941367i | 0.0318240i | ||||||||
\(876\) | 4.41205 | − | 11.1595i | 0.149069 | − | 0.377044i | ||||
\(877\) | 11.2051i | 0.378370i | 0.981941 | + | 0.189185i | \(0.0605846\pi\) | ||||
−0.981941 | + | 0.189185i | \(0.939415\pi\) | |||||||
\(878\) | −1.43965 | + | 7.55691i | −0.0485858 | + | 0.255034i | ||||
\(879\) | 20.2277 | 0.682262 | ||||||||
\(880\) | −13.1284 | − | 12.3043i | −0.442559 | − | 0.414779i | ||||
\(881\) | −48.3380 | −1.62855 | −0.814275 | − | 0.580479i | \(-0.802865\pi\) | ||||
−0.814275 | + | 0.580479i | \(0.802865\pi\) | |||||||
\(882\) | 1.61808 | − | 8.49351i | 0.0544834 | − | 0.285991i | ||||
\(883\) | 50.5726i | 1.70190i | 0.525244 | + | 0.850951i | \(0.323974\pi\) | ||||
−0.525244 | + | 0.850951i | \(0.676026\pi\) | |||||||
\(884\) | 30.8793 | − | 78.1035i | 1.03858 | − | 2.62691i | ||||
\(885\) | − | 8.49828i | − | 0.285667i | ||||||
\(886\) | 21.3224 | + | 4.06207i | 0.716339 | + | 0.136468i | ||||
\(887\) | −48.0483 | −1.61330 | −0.806652 | − | 0.591026i | \(-0.798723\pi\) | ||||
−0.806652 | + | 0.591026i | \(0.798723\pi\) | |||||||
\(888\) | −11.2621 | + | 17.7750i | −0.377932 | + | 0.596491i | ||||
\(889\) | −17.1070 | −0.573749 | ||||||||
\(890\) | 5.71982 | + | 1.08967i | 0.191729 | + | 0.0365258i | ||||
\(891\) | − | 4.49828i | − | 0.150698i | ||||||
\(892\) | 44.7405 | + | 17.6888i | 1.49802 | + | 0.592264i | ||||
\(893\) | 10.6448i | 0.356213i | ||||||||
\(894\) | 0.529317 | − | 2.77846i | 0.0177030 | − | 0.0929255i | ||||
\(895\) | −10.6155 | −0.354839 | ||||||||
\(896\) | −10.3112 | + | 2.66625i | −0.344473 | + | 0.0890731i | ||||
\(897\) | −5.88273 | −0.196419 | ||||||||
\(898\) | 1.11888 | − | 5.87318i | 0.0373377 | − | 0.195991i | ||||
\(899\) | 7.11383i | 0.237259i | ||||||||
\(900\) | −1.85991 | − | 0.735342i | −0.0619971 | − | 0.0245114i | ||||
\(901\) | − | 15.1138i | − | 0.503515i | ||||||
\(902\) | 24.2637 | + | 4.62242i | 0.807894 | + | 0.153910i | ||||
\(903\) | 1.77234 | 0.0589799 | ||||||||
\(904\) | −23.1950 | + | 36.6087i | −0.771454 | + | 1.21759i | ||||
\(905\) | −14.1173 | −0.469274 | ||||||||
\(906\) | −13.4396 | − | 2.56035i | −0.446502 | − | 0.0850620i | ||||
\(907\) | 6.46219i | 0.214573i | 0.994228 | + | 0.107287i | \(0.0342163\pi\) | ||||
−0.994228 | + | 0.107287i | \(0.965784\pi\) | |||||||
\(908\) | −8.17246 | + | 20.6707i | −0.271213 | + | 0.685983i | ||||
\(909\) | 2.00000i | 0.0663358i | ||||||||
\(910\) | 1.38445 | − | 7.26719i | 0.0458942 | − | 0.240905i | ||||
\(911\) | 50.3380 | 1.66777 | 0.833887 | − | 0.551935i | \(-0.186110\pi\) | ||||
0.833887 | + | 0.551935i | \(0.186110\pi\) | |||||||
\(912\) | −3.08967 | − | 2.89572i | −0.102309 | − | 0.0958870i | ||||
\(913\) | −26.4622 | −0.875771 | ||||||||
\(914\) | 0.701778 | − | 3.68373i | 0.0232128 | − | 0.121847i | ||||
\(915\) | 8.99656i | 0.297417i | ||||||||
\(916\) | 12.6707 | − | 32.0483i | 0.418653 | − | 1.05891i | ||||
\(917\) | 6.00688i | 0.198365i | ||||||||
\(918\) | 10.4983 | + | 2.00000i | 0.346495 | + | 0.0660098i | ||||
\(919\) | 46.4362 | 1.53179 | 0.765895 | − | 0.642966i | \(-0.222296\pi\) | ||||
0.765895 | + | 0.642966i | \(0.222296\pi\) | |||||||
\(920\) | −2.52932 | − | 1.60256i | −0.0833891 | − | 0.0528348i | ||||
\(921\) | −8.11039 | −0.267246 | ||||||||
\(922\) | 14.2181 | + | 2.70865i | 0.468248 | + | 0.0892048i | ||||
\(923\) | − | 72.2208i | − | 2.37718i | ||||||
\(924\) | 7.87586 | + | 3.11383i | 0.259097 | + | 0.102437i | ||||
\(925\) | − | 7.43965i | − | 0.244614i | ||||||
\(926\) | 5.04403 | − | 26.4768i | 0.165757 | − | 0.870082i | ||||
\(927\) | −10.1725 | −0.334107 | ||||||||
\(928\) | 6.66119 | + | 9.14486i | 0.218664 | + | 0.300195i | ||||
\(929\) | −35.9931 | −1.18090 | −0.590448 | − | 0.807076i | \(-0.701049\pi\) | ||||
−0.590448 | + | 0.807076i | \(0.701049\pi\) | |||||||
\(930\) | −0.941367 | + | 4.94137i | −0.0308686 | + | 0.162034i | ||||
\(931\) | 6.47230i | 0.212121i | ||||||||
\(932\) | 15.7034 | + | 6.20855i | 0.514382 | + | 0.203368i | ||||
\(933\) | − | 31.8759i | − | 1.04357i | ||||||
\(934\) | 5.71027 | + | 1.08785i | 0.186846 | + | 0.0355955i | ||||
\(935\) | −33.9931 | −1.11169 | ||||||||
\(936\) | 13.2767 | + | 8.41205i | 0.433964 | + | 0.274956i | ||||
\(937\) | 2.70360 | 0.0883227 | 0.0441613 | − | 0.999024i | \(-0.485938\pi\) | ||||
0.0441613 | + | 0.999024i | \(0.485938\pi\) | |||||||
\(938\) | 5.23109 | + | 0.996562i | 0.170801 | + | 0.0325389i | ||||
\(939\) | 5.11383i | 0.166883i | ||||||||
\(940\) | 7.39400 | − | 18.7018i | 0.241166 | − | 0.609985i | ||||
\(941\) | 17.7655i | 0.579138i | 0.957157 | + | 0.289569i | \(0.0935119\pi\) | ||||
−0.957157 | + | 0.289569i | \(0.906488\pi\) | |||||||
\(942\) | −1.14486 | + | 6.00955i | −0.0373017 | + | 0.195802i | ||||
\(943\) | 4.11039 | 0.133853 | ||||||||
\(944\) | −23.2457 | + | 24.8026i | −0.756583 | + | 0.807256i | ||||
\(945\) | 0.941367 | 0.0306227 | ||||||||
\(946\) | 2.24141 | − | 11.7655i | 0.0728745 | − | 0.382528i | ||||
\(947\) | 26.2277i | 0.852284i | 0.904656 | + | 0.426142i | \(0.140128\pi\) | ||||
−0.904656 | + | 0.426142i | \(0.859872\pi\) | |||||||
\(948\) | −8.49828 | + | 21.4948i | −0.276011 | + | 0.698120i | ||||
\(949\) | − | 33.3415i | − | 1.08231i | ||||||
\(950\) | 1.47068 | + | 0.280176i | 0.0477153 | + | 0.00909011i | ||||
\(951\) | −24.6448 | −0.799161 | ||||||||
\(952\) | −10.7689 | + | 16.9966i | −0.349022 | + | 0.550862i | ||||
\(953\) | 9.09472 | 0.294607 | 0.147304 | − | 0.989091i | \(-0.452941\pi\) | ||||
0.147304 | + | 0.989091i | \(0.452941\pi\) | |||||||
\(954\) | 2.77846 | + | 0.529317i | 0.0899559 | + | 0.0171373i | ||||
\(955\) | 8.00000i | 0.258874i | ||||||||
\(956\) | −18.8172 | − | 7.43965i | −0.608593 | − | 0.240615i | ||||
\(957\) | − | 8.99656i | − | 0.290818i | ||||||
\(958\) | −6.67762 | + | 35.0518i | −0.215744 | + | 1.13247i | ||||
\(959\) | −4.18257 | −0.135062 | ||||||||
\(960\) | 3.41683 | + | 7.23362i | 0.110278 | + | 0.233464i | ||||
\(961\) | −18.3484 | −0.591883 | ||||||||
\(962\) | −10.9414 | + | 57.4328i | −0.352764 | + | 1.85171i | ||||
\(963\) | − | 17.2311i | − | 0.555264i | ||||||
\(964\) | −31.3940 | − | 12.4121i | −1.01113 | − | 0.399765i | ||||
\(965\) | 4.87930i | 0.157070i | ||||||||
\(966\) | 1.38445 | + | 0.263748i | 0.0445440 | + | 0.00848597i | ||||
\(967\) | −7.47574 | −0.240404 | −0.120202 | − | 0.992749i | \(-0.538354\pi\) | ||||
−0.120202 | + | 0.992749i | \(0.538354\pi\) | |||||||
\(968\) | 13.9792 | − | 22.0634i | 0.449309 | − | 0.709145i | ||||
\(969\) | −8.00000 | −0.256997 | ||||||||
\(970\) | −23.7750 | − | 4.52932i | −0.763370 | − | 0.145428i | ||||
\(971\) | 41.0777i | 1.31825i | 0.752035 | + | 0.659124i | \(0.229073\pi\) | ||||
−0.752035 | + | 0.659124i | \(0.770927\pi\) | |||||||
\(972\) | −0.735342 | + | 1.85991i | −0.0235861 | + | 0.0596567i | ||||
\(973\) | − | 18.9897i | − | 0.608781i | ||||||
\(974\) | −5.80605 | + | 30.4768i | −0.186038 | + | 0.976540i | ||||
\(975\) | −5.55691 | −0.177964 | ||||||||
\(976\) | 24.6087 | − | 26.2569i | 0.787704 | − | 0.840462i | ||||
\(977\) | −4.20855 | −0.134644 | −0.0673218 | − | 0.997731i | \(-0.521445\pi\) | ||||
−0.0673218 | + | 0.997731i | \(0.521445\pi\) | |||||||
\(978\) | 1.61899 | − | 8.49828i | 0.0517694 | − | 0.271745i | ||||
\(979\) | 18.5206i | 0.591922i | ||||||||
\(980\) | 4.49575 | − | 11.3712i | 0.143612 | − | 0.363239i | ||||
\(981\) | 1.88273i | 0.0601111i | ||||||||
\(982\) | 10.4216 | + | 1.98539i | 0.332567 | + | 0.0633564i | ||||
\(983\) | −8.35504 | −0.266484 | −0.133242 | − | 0.991084i | \(-0.542539\pi\) | ||||
−0.133242 | + | 0.991084i | \(0.542539\pi\) | |||||||
\(984\) | −9.27674 | − | 5.87768i | −0.295732 | − | 0.187374i | ||||
\(985\) | 2.88617 | 0.0919611 | ||||||||
\(986\) | 20.9966 | + | 4.00000i | 0.668667 | + | 0.127386i | ||||
\(987\) | 9.46563i | 0.301294i | ||||||||
\(988\) | −10.9414 | − | 4.32582i | −0.348091 | − | 0.137623i | ||||
\(989\) | − | 1.99312i | − | 0.0633777i | ||||||
\(990\) | 1.19051 | − | 6.24914i | 0.0378368 | − | 0.198611i | ||||
\(991\) | −13.9087 | −0.441825 | −0.220912 | − | 0.975294i | \(-0.570903\pi\) | ||||
−0.220912 | + | 0.975294i | \(0.570903\pi\) | |||||||
\(992\) | 16.2637 | − | 11.8466i | 0.516375 | − | 0.376131i | ||||
\(993\) | 11.0518 | 0.350717 | ||||||||
\(994\) | −3.23797 | + | 16.9966i | −0.102702 | + | 0.539098i | ||||
\(995\) | 17.6742i | 0.560309i | ||||||||
\(996\) | 10.9414 | + | 4.32582i | 0.346690 | + | 0.137069i | ||||
\(997\) | − | 34.8984i | − | 1.10524i | −0.833432 | − | 0.552622i | \(-0.813627\pi\) | ||
0.833432 | − | 0.552622i | \(-0.186373\pi\) | |||||||
\(998\) | 40.5224 | + | 7.71982i | 1.28272 | + | 0.244367i | ||||
\(999\) | −7.43965 | −0.235380 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))