Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(214,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.h (of order \(3\), degree \(2\), not 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.1 | ||
Root | \(0.500000 + 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.373 |
Dual form | 441.2.h.b.214.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.46050 | −1.73984 | −0.869920 | − | 0.493193i | \(-0.835830\pi\) | ||||
−0.869920 | + | 0.493193i | \(0.835830\pi\) | |||||||
\(3\) | −0.796790 | − | 1.53790i | −0.460027 | − | 0.887905i | ||||
\(4\) | 4.05408 | 2.02704 | ||||||||
\(5\) | −1.29679 | − | 2.24611i | −0.579942 | − | 1.00449i | −0.995485 | − | 0.0949156i | \(-0.969742\pi\) |
0.415543 | − | 0.909573i | \(-0.363591\pi\) | |||||||
\(6\) | 1.96050 | + | 3.78400i | 0.800373 | + | 1.54481i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −5.05408 | −1.78689 | ||||||||
\(9\) | −1.73025 | + | 2.45076i | −0.576751 | + | 0.816920i | ||||
\(10\) | 3.19076 | + | 5.52655i | 1.00901 | + | 1.74765i | ||||
\(11\) | −2.25729 | + | 3.90975i | −0.680600 | + | 1.17883i | 0.294198 | + | 0.955744i | \(0.404947\pi\) |
−0.974798 | + | 0.223089i | \(0.928386\pi\) | |||||||
\(12\) | −3.23025 | − | 6.23476i | −0.932494 | − | 1.79982i | ||||
\(13\) | 0.500000 | − | 0.866025i | 0.138675 | − | 0.240192i | −0.788320 | − | 0.615265i | \(-0.789049\pi\) |
0.926995 | + | 0.375073i | \(0.122382\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.42101 | + | 3.78400i | −0.625102 | + | 0.977025i | ||||
\(16\) | 4.32743 | 1.08186 | ||||||||
\(17\) | −0.472958 | − | 0.819187i | −0.114709 | − | 0.198682i | 0.802954 | − | 0.596041i | \(-0.203260\pi\) |
−0.917663 | + | 0.397359i | \(0.869927\pi\) | |||||||
\(18\) | 4.25729 | − | 6.03011i | 1.00345 | − | 1.42131i | ||||
\(19\) | −2.02704 | + | 3.51094i | −0.465035 | + | 0.805465i | −0.999203 | − | 0.0399136i | \(-0.987292\pi\) |
0.534168 | + | 0.845378i | \(0.320625\pi\) | |||||||
\(20\) | −5.25729 | − | 9.10590i | −1.17557 | − | 2.03614i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.55408 | − | 9.61996i | 1.18413 | − | 2.05098i | ||||
\(23\) | 0.136673 | + | 0.236725i | 0.0284983 | + | 0.0493605i | 0.879923 | − | 0.475117i | \(-0.157594\pi\) |
−0.851425 | + | 0.524477i | \(0.824261\pi\) | |||||||
\(24\) | 4.02704 | + | 7.77266i | 0.822017 | + | 1.58659i | ||||
\(25\) | −0.863327 | + | 1.49533i | −0.172665 | + | 0.299065i | ||||
\(26\) | −1.23025 | + | 2.13086i | −0.241272 | + | 0.417896i | ||||
\(27\) | 5.14766 | + | 0.708209i | 0.990668 | + | 0.136295i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.23025 | − | 2.13086i | −0.228452 | − | 0.395691i | 0.728897 | − | 0.684623i | \(-0.240033\pi\) |
−0.957350 | + | 0.288932i | \(0.906700\pi\) | |||||||
\(30\) | 5.95691 | − | 9.31056i | 1.08758 | − | 1.69987i | ||||
\(31\) | −2.32743 | −0.418019 | −0.209009 | − | 0.977914i | \(-0.567024\pi\) | ||||
−0.209009 | + | 0.977914i | \(0.567024\pi\) | |||||||
\(32\) | −0.539495 | −0.0953702 | ||||||||
\(33\) | 7.81138 | + | 0.356238i | 1.35979 | + | 0.0620131i | ||||
\(34\) | 1.16372 | + | 2.01561i | 0.199576 | + | 0.345675i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −7.01459 | + | 9.93559i | −1.16910 | + | 1.65593i | ||||
\(37\) | −0.890369 | + | 1.54216i | −0.146376 | + | 0.253530i | −0.929885 | − | 0.367849i | \(-0.880094\pi\) |
0.783510 | + | 0.621380i | \(0.213428\pi\) | |||||||
\(38\) | 4.98755 | − | 8.63868i | 0.809087 | − | 1.40138i | ||||
\(39\) | −1.73025 | − | 0.0789082i | −0.277062 | − | 0.0126354i | ||||
\(40\) | 6.55408 | + | 11.3520i | 1.03629 | + | 1.79491i | ||||
\(41\) | −3.20321 | + | 5.54812i | −0.500257 | + | 0.866471i | 0.499743 | + | 0.866174i | \(0.333428\pi\) |
−1.00000 | 0.000297253i | \(0.999905\pi\) | ||||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.21780 | + | 9.03749i | 0.795707 | + | 1.37820i | 0.922389 | + | 0.386262i | \(0.126234\pi\) |
−0.126682 | + | 0.991943i | \(0.540433\pi\) | |||||||
\(44\) | −9.15126 | + | 15.8505i | −1.37960 | + | 2.38955i | ||||
\(45\) | 7.74844 | + | 0.708209i | 1.15507 | + | 0.105574i | ||||
\(46\) | −0.336285 | − | 0.582462i | −0.0495825 | − | 0.0858794i | ||||
\(47\) | 12.1623 | 1.77405 | 0.887023 | − | 0.461724i | \(-0.152769\pi\) | ||||
0.887023 | + | 0.461724i | \(0.152769\pi\) | |||||||
\(48\) | −3.44805 | − | 6.65514i | −0.497683 | − | 0.960587i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.12422 | − | 3.67926i | 0.300410 | − | 0.520326i | ||||
\(51\) | −0.882977 | + | 1.38008i | −0.123642 | + | 0.193250i | ||||
\(52\) | 2.02704 | − | 3.51094i | 0.281100 | − | 0.486880i | ||||
\(53\) | 3.13667 | + | 5.43288i | 0.430855 | + | 0.746263i | 0.996947 | − | 0.0780790i | \(-0.0248786\pi\) |
−0.566092 | + | 0.824342i | \(0.691545\pi\) | |||||||
\(54\) | −12.6659 | − | 1.74255i | −1.72360 | − | 0.237131i | ||||
\(55\) | 11.7089 | 1.57883 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.01459 | + | 0.319901i | 0.929105 | + | 0.0423719i | ||||
\(58\) | 3.02704 | + | 5.24299i | 0.397470 | + | 0.688438i | ||||
\(59\) | 2.72665 | 0.354980 | 0.177490 | − | 0.984123i | \(-0.443202\pi\) | ||||
0.177490 | + | 0.984123i | \(0.443202\pi\) | |||||||
\(60\) | −9.81498 | + | 15.3407i | −1.26711 | + | 1.98047i | ||||
\(61\) | 2.27335 | 0.291072 | 0.145536 | − | 0.989353i | \(-0.453509\pi\) | ||||
0.145536 | + | 0.989353i | \(0.453509\pi\) | |||||||
\(62\) | 5.72665 | 0.727286 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.32743 | −0.915929 | ||||||||
\(65\) | −2.59358 | −0.321694 | ||||||||
\(66\) | −19.2199 | − | 0.876526i | −2.36581 | − | 0.107893i | ||||
\(67\) | −15.8171 | −1.93237 | −0.966184 | − | 0.257854i | \(-0.916985\pi\) | ||||
−0.966184 | + | 0.257854i | \(0.916985\pi\) | |||||||
\(68\) | −1.91741 | − | 3.32105i | −0.232520 | − | 0.402737i | ||||
\(69\) | 0.255158 | − | 0.398809i | 0.0307175 | − | 0.0480110i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.27335 | 0.388475 | 0.194237 | − | 0.980955i | \(-0.437777\pi\) | ||||
0.194237 | + | 0.980955i | \(0.437777\pi\) | |||||||
\(72\) | 8.74484 | − | 12.3863i | 1.03059 | − | 1.45975i | ||||
\(73\) | −0.753696 | − | 1.30544i | −0.0882134 | − | 0.152790i | 0.818543 | − | 0.574446i | \(-0.194782\pi\) |
−0.906756 | + | 0.421656i | \(0.861449\pi\) | |||||||
\(74\) | 2.19076 | − | 3.79450i | 0.254670 | − | 0.441102i | ||||
\(75\) | 2.98755 | + | 0.136247i | 0.344972 | + | 0.0157325i | ||||
\(76\) | −8.21780 | + | 14.2336i | −0.942646 | + | 1.63271i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.25729 | + | 0.194154i | 0.482044 | + | 0.0219836i | ||||
\(79\) | 14.7089 | 1.65489 | 0.827443 | − | 0.561550i | \(-0.189795\pi\) | ||||
0.827443 | + | 0.561550i | \(0.189795\pi\) | |||||||
\(80\) | −5.61177 | − | 9.71987i | −0.627415 | − | 1.08671i | ||||
\(81\) | −3.01245 | − | 8.48087i | −0.334717 | − | 0.942319i | ||||
\(82\) | 7.88151 | − | 13.6512i | 0.870368 | − | 1.50752i | ||||
\(83\) | −0.472958 | − | 0.819187i | −0.0519139 | − | 0.0899175i | 0.838901 | − | 0.544285i | \(-0.183199\pi\) |
−0.890815 | + | 0.454367i | \(0.849865\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.22665 | + | 2.12463i | −0.133049 | + | 0.230448i | ||||
\(86\) | −12.8384 | − | 22.2368i | −1.38440 | − | 2.39786i | ||||
\(87\) | −2.29679 | + | 3.58985i | −0.246242 | + | 0.384872i | ||||
\(88\) | 11.4086 | − | 19.7602i | 1.21616 | − | 2.10644i | ||||
\(89\) | −7.17830 | + | 12.4332i | −0.760899 | + | 1.31792i | 0.181489 | + | 0.983393i | \(0.441908\pi\) |
−0.942388 | + | 0.334522i | \(0.891425\pi\) | |||||||
\(90\) | −19.0651 | − | 1.74255i | −2.00964 | − | 0.183681i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.554084 | + | 0.959702i | 0.0577673 | + | 0.100056i | ||||
\(93\) | 1.85447 | + | 3.57935i | 0.192300 | + | 0.371161i | ||||
\(94\) | −29.9253 | −3.08656 | ||||||||
\(95\) | 10.5146 | 1.07877 | ||||||||
\(96\) | 0.429864 | + | 0.829688i | 0.0438728 | + | 0.0846797i | ||||
\(97\) | −5.74484 | − | 9.95036i | −0.583300 | − | 1.01031i | −0.995085 | − | 0.0990246i | \(-0.968428\pi\) |
0.411785 | − | 0.911281i | \(-0.364906\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −5.67617 | − | 12.2969i | −0.570476 | − | 1.23589i | ||||
\(100\) | −3.50000 | + | 6.06218i | −0.350000 | + | 0.606218i | ||||
\(101\) | −1.83988 | + | 3.18677i | −0.183075 | + | 0.317096i | −0.942926 | − | 0.333002i | \(-0.891939\pi\) |
0.759851 | + | 0.650097i | \(0.225272\pi\) | |||||||
\(102\) | 2.17257 | − | 3.39569i | 0.215116 | − | 0.336224i | ||||
\(103\) | −4.86333 | − | 8.42353i | −0.479198 | − | 0.829995i | 0.520518 | − | 0.853851i | \(-0.325739\pi\) |
−0.999715 | + | 0.0238560i | \(0.992406\pi\) | |||||||
\(104\) | −2.52704 | + | 4.37697i | −0.247797 | + | 0.429197i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.71780 | − | 13.3676i | −0.749619 | − | 1.29838i | ||||
\(107\) | 0.687159 | − | 1.19019i | 0.0664301 | − | 0.115060i | −0.830897 | − | 0.556426i | \(-0.812172\pi\) |
0.897327 | + | 0.441365i | \(0.145506\pi\) | |||||||
\(108\) | 20.8691 | + | 2.87114i | 2.00813 | + | 0.276275i | ||||
\(109\) | 1.69961 | + | 2.94381i | 0.162793 | + | 0.281966i | 0.935869 | − | 0.352347i | \(-0.114616\pi\) |
−0.773076 | + | 0.634313i | \(0.781283\pi\) | |||||||
\(110\) | −28.8099 | −2.74692 | ||||||||
\(111\) | 3.08113 | + | 0.140515i | 0.292448 | + | 0.0133371i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.19436 | + | 8.99689i | −0.488644 | + | 0.846356i | −0.999915 | − | 0.0130636i | \(-0.995842\pi\) |
0.511271 | + | 0.859420i | \(0.329175\pi\) | |||||||
\(114\) | −17.2594 | − | 0.787117i | −1.61649 | − | 0.0737203i | ||||
\(115\) | 0.354473 | − | 0.613964i | 0.0330547 | − | 0.0572525i | ||||
\(116\) | −4.98755 | − | 8.63868i | −0.463082 | − | 0.802082i | ||||
\(117\) | 1.25729 | + | 2.72382i | 0.116237 | + | 0.251818i | ||||
\(118\) | −6.70895 | −0.617608 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 12.2360 | − | 19.1247i | 1.11699 | − | 1.74584i | ||||
\(121\) | −4.69076 | − | 8.12463i | −0.426432 | − | 0.738603i | ||||
\(122\) | −5.59358 | −0.506419 | ||||||||
\(123\) | 11.0847 | + | 0.505519i | 0.999476 | + | 0.0455812i | ||||
\(124\) | −9.43560 | −0.847342 | ||||||||
\(125\) | −8.48968 | −0.759340 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.672570 | 0.0596809 | 0.0298405 | − | 0.999555i | \(-0.490500\pi\) | ||||
0.0298405 | + | 0.999555i | \(0.490500\pi\) | |||||||
\(128\) | 19.1082 | 1.68894 | ||||||||
\(129\) | 9.74124 | − | 15.2254i | 0.857669 | − | 1.34052i | ||||
\(130\) | 6.38151 | 0.559696 | ||||||||
\(131\) | 3.95691 | + | 6.85356i | 0.345717 | + | 0.598799i | 0.985484 | − | 0.169770i | \(-0.0543026\pi\) |
−0.639767 | + | 0.768569i | \(0.720969\pi\) | |||||||
\(132\) | 31.6680 | + | 1.44422i | 2.75634 | + | 0.125703i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 38.9181 | 3.36201 | ||||||||
\(135\) | −5.08472 | − | 12.4806i | −0.437623 | − | 1.07416i | ||||
\(136\) | 2.39037 | + | 4.14024i | 0.204972 | + | 0.355023i | ||||
\(137\) | 1.83628 | − | 3.18054i | 0.156884 | − | 0.271732i | −0.776859 | − | 0.629674i | \(-0.783188\pi\) |
0.933744 | + | 0.357943i | \(0.116522\pi\) | |||||||
\(138\) | −0.627819 | + | 0.981271i | −0.0534435 | + | 0.0835314i | ||||
\(139\) | −1.02704 | + | 1.77889i | −0.0871126 | + | 0.150883i | −0.906289 | − | 0.422658i | \(-0.861097\pi\) |
0.819177 | + | 0.573541i | \(0.194431\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.69076 | − | 18.7043i | −0.816109 | − | 1.57519i | ||||
\(142\) | −8.05408 | −0.675884 | ||||||||
\(143\) | 2.25729 | + | 3.90975i | 0.188764 | + | 0.326950i | ||||
\(144\) | −7.48755 | + | 10.6055i | −0.623962 | + | 0.883791i | ||||
\(145\) | −3.19076 | + | 5.52655i | −0.264978 | + | 0.458955i | ||||
\(146\) | 1.85447 | + | 3.21204i | 0.153477 | + | 0.265830i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.60963 | + | 6.25206i | −0.296710 | + | 0.513917i | ||||
\(149\) | 6.77188 | + | 11.7292i | 0.554774 | + | 0.960897i | 0.997921 | + | 0.0644482i | \(0.0205287\pi\) |
−0.443147 | + | 0.896449i | \(0.646138\pi\) | |||||||
\(150\) | −7.35087 | − | 0.335237i | −0.600196 | − | 0.0273720i | ||||
\(151\) | −4.96410 | + | 8.59808i | −0.403973 | + | 0.699702i | −0.994201 | − | 0.107535i | \(-0.965704\pi\) |
0.590228 | + | 0.807236i | \(0.299038\pi\) | |||||||
\(152\) | 10.2448 | − | 17.7446i | 0.830966 | − | 1.43928i | ||||
\(153\) | 2.82597 | + | 0.258294i | 0.228466 | + | 0.0208818i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.01819 | + | 5.22765i | 0.242427 | + | 0.419895i | ||||
\(156\) | −7.01459 | − | 0.319901i | −0.561617 | − | 0.0256126i | ||||
\(157\) | −6.05408 | −0.483169 | −0.241584 | − | 0.970380i | \(-0.577667\pi\) | ||||
−0.241584 | + | 0.970380i | \(0.577667\pi\) | |||||||
\(158\) | −36.1914 | −2.87924 | ||||||||
\(159\) | 5.85594 | − | 9.15274i | 0.464406 | − | 0.725859i | ||||
\(160\) | 0.699612 | + | 1.21176i | 0.0553092 | + | 0.0957983i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 7.41216 | + | 20.8672i | 0.582354 | + | 1.63948i | ||||
\(163\) | −8.90856 | + | 15.4301i | −0.697772 | + | 1.20858i | 0.271465 | + | 0.962448i | \(0.412492\pi\) |
−0.969237 | + | 0.246128i | \(0.920842\pi\) | |||||||
\(164\) | −12.9861 | + | 22.4926i | −1.01404 | + | 1.75637i | ||||
\(165\) | −9.32957 | − | 18.0071i | −0.726306 | − | 1.40185i | ||||
\(166\) | 1.16372 | + | 2.01561i | 0.0903218 | + | 0.156442i | ||||
\(167\) | −4.23385 | + | 7.33325i | −0.327625 | + | 0.567464i | −0.982040 | − | 0.188672i | \(-0.939582\pi\) |
0.654415 | + | 0.756136i | \(0.272915\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.00000 | + | 10.3923i | 0.461538 | + | 0.799408i | ||||
\(170\) | 3.01819 | − | 5.22765i | 0.231484 | − | 0.400943i | ||||
\(171\) | −5.09718 | − | 11.0426i | −0.389791 | − | 0.844449i | ||||
\(172\) | 21.1534 | + | 36.6388i | 1.61293 | + | 2.79368i | ||||
\(173\) | −17.3566 | −1.31960 | −0.659799 | − | 0.751442i | \(-0.729359\pi\) | ||||
−0.659799 | + | 0.751442i | \(0.729359\pi\) | |||||||
\(174\) | 5.65126 | − | 8.83284i | 0.428421 | − | 0.669616i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −9.76829 | + | 16.9192i | −0.736312 | + | 1.27533i | ||||
\(177\) | −2.17257 | − | 4.19331i | −0.163300 | − | 0.315189i | ||||
\(178\) | 17.6623 | − | 30.5919i | 1.32384 | − | 2.29296i | ||||
\(179\) | 5.67471 | + | 9.82888i | 0.424147 | + | 0.734645i | 0.996340 | − | 0.0854741i | \(-0.0272405\pi\) |
−0.572193 | + | 0.820119i | \(0.693907\pi\) | |||||||
\(180\) | 31.4128 | + | 2.87114i | 2.34137 | + | 0.214002i | ||||
\(181\) | −21.8889 | −1.62699 | −0.813495 | − | 0.581572i | \(-0.802438\pi\) | ||||
−0.813495 | + | 0.581572i | \(0.802438\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.81138 | − | 3.49617i | −0.133901 | − | 0.258444i | ||||
\(184\) | −0.690757 | − | 1.19643i | −0.0509233 | − | 0.0882018i | ||||
\(185\) | 4.61849 | 0.339558 | ||||||||
\(186\) | −4.56294 | − | 8.80700i | −0.334571 | − | 0.645761i | ||||
\(187\) | 4.27042 | 0.312284 | ||||||||
\(188\) | 49.3068 | 3.59607 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −25.8712 | −1.87689 | ||||||||
\(191\) | −0.701748 | −0.0507767 | −0.0253883 | − | 0.999678i | \(-0.508082\pi\) | ||||
−0.0253883 | + | 0.999678i | \(0.508082\pi\) | |||||||
\(192\) | 5.83842 | + | 11.2688i | 0.421352 | + | 0.813258i | ||||
\(193\) | 12.1445 | 0.874183 | 0.437092 | − | 0.899417i | \(-0.356009\pi\) | ||||
0.437092 | + | 0.899417i | \(0.356009\pi\) | |||||||
\(194\) | 14.1352 | + | 24.4829i | 1.01485 | + | 1.75777i | ||||
\(195\) | 2.06654 | + | 3.98866i | 0.147988 | + | 0.285634i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −16.4107 | −1.16921 | −0.584607 | − | 0.811317i | \(-0.698751\pi\) | ||||
−0.584607 | + | 0.811317i | \(0.698751\pi\) | |||||||
\(198\) | 13.9662 | + | 30.2567i | 0.992537 | + | 2.15025i | ||||
\(199\) | 11.3530 | + | 19.6640i | 0.804794 | + | 1.39394i | 0.916430 | + | 0.400194i | \(0.131057\pi\) |
−0.111637 | + | 0.993749i | \(0.535609\pi\) | |||||||
\(200\) | 4.36333 | − | 7.55750i | 0.308534 | − | 0.534396i | ||||
\(201\) | 12.6029 | + | 24.3251i | 0.888941 | + | 1.71576i | ||||
\(202\) | 4.52704 | − | 7.84107i | 0.318522 | − | 0.551696i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.57966 | + | 5.59496i | −0.250627 | + | 0.391726i | ||||
\(205\) | 16.6156 | 1.16048 | ||||||||
\(206\) | 11.9662 | + | 20.7261i | 0.833727 | + | 1.44406i | ||||
\(207\) | −0.816635 | − | 0.0746406i | −0.0567600 | − | 0.00518788i | ||||
\(208\) | 2.16372 | − | 3.74766i | 0.150027 | − | 0.259854i | ||||
\(209\) | −9.15126 | − | 15.8505i | −0.633006 | − | 1.09640i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.28074 | + | 3.95035i | −0.157012 | + | 0.271954i | −0.933790 | − | 0.357822i | \(-0.883520\pi\) |
0.776778 | + | 0.629775i | \(0.216853\pi\) | |||||||
\(212\) | 12.7163 | + | 22.0253i | 0.873362 | + | 1.51271i | ||||
\(213\) | −2.60817 | − | 5.03407i | −0.178709 | − | 0.344929i | ||||
\(214\) | −1.69076 | + | 2.92848i | −0.115578 | + | 0.200187i | ||||
\(215\) | 13.5328 | − | 23.4395i | 0.922928 | − | 1.59856i | ||||
\(216\) | −26.0167 | − | 3.57935i | −1.77021 | − | 0.243544i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.18190 | − | 7.24327i | −0.283234 | − | 0.490576i | ||||
\(219\) | −1.40709 | + | 2.19927i | −0.0950826 | + | 0.148613i | ||||
\(220\) | 47.4690 | 3.20036 | ||||||||
\(221\) | −0.945916 | −0.0636292 | ||||||||
\(222\) | −7.58113 | − | 0.345738i | −0.508812 | − | 0.0232044i | ||||
\(223\) | 6.66225 | + | 11.5394i | 0.446137 | + | 0.772733i | 0.998131 | − | 0.0611159i | \(-0.0194659\pi\) |
−0.551993 | + | 0.833849i | \(0.686133\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.17091 | − | 4.70310i | −0.144727 | − | 0.313540i | ||||
\(226\) | 12.7807 | − | 22.1369i | 0.850162 | − | 1.47252i | ||||
\(227\) | 0.690757 | − | 1.19643i | 0.0458472 | − | 0.0794096i | −0.842191 | − | 0.539179i | \(-0.818735\pi\) |
0.888038 | + | 0.459769i | \(0.152068\pi\) | |||||||
\(228\) | 28.4377 | + | 1.29690i | 1.88334 | + | 0.0858896i | ||||
\(229\) | −8.98968 | − | 15.5706i | −0.594055 | − | 1.02893i | −0.993679 | − | 0.112254i | \(-0.964193\pi\) |
0.399625 | − | 0.916679i | \(-0.369141\pi\) | |||||||
\(230\) | −0.872181 | + | 1.51066i | −0.0575099 | + | 0.0996101i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.21780 | + | 10.7695i | 0.408219 | + | 0.707055i | ||||
\(233\) | 9.49115 | − | 16.4391i | 0.621786 | − | 1.07696i | −0.367367 | − | 0.930076i | \(-0.619741\pi\) |
0.989153 | − | 0.146888i | \(-0.0469258\pi\) | |||||||
\(234\) | −3.09358 | − | 6.70198i | −0.202234 | − | 0.438122i | ||||
\(235\) | −15.7719 | − | 27.3177i | −1.02884 | − | 1.78201i | ||||
\(236\) | 11.0541 | 0.719560 | ||||||||
\(237\) | −11.7199 | − | 22.6208i | −0.761292 | − | 1.46938i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.44592 | + | 4.23645i | −0.158213 | + | 0.274033i | −0.934224 | − | 0.356686i | \(-0.883907\pi\) |
0.776011 | + | 0.630719i | \(0.217240\pi\) | |||||||
\(240\) | −10.4768 | + | 16.3750i | −0.676271 | + | 1.05700i | ||||
\(241\) | −13.0797 | + | 22.6546i | −0.842535 | + | 1.45931i | 0.0452094 | + | 0.998978i | \(0.485604\pi\) |
−0.887745 | + | 0.460336i | \(0.847729\pi\) | |||||||
\(242\) | 11.5416 | + | 19.9907i | 0.741924 | + | 1.28505i | ||||
\(243\) | −10.6424 | + | 11.3903i | −0.682711 | + | 0.730689i | ||||
\(244\) | 9.21634 | 0.590016 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −27.2740 | − | 1.24383i | −1.73893 | − | 0.0793039i | ||||
\(247\) | 2.02704 | + | 3.51094i | 0.128978 | + | 0.223396i | ||||
\(248\) | 11.7630 | 0.746953 | ||||||||
\(249\) | −0.882977 | + | 1.38008i | −0.0559564 | + | 0.0874590i | ||||
\(250\) | 20.8889 | 1.32113 | ||||||||
\(251\) | −18.4576 | −1.16503 | −0.582516 | − | 0.812819i | \(-0.697932\pi\) | ||||
−0.582516 | + | 0.812819i | \(0.697932\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.23405 | −0.0775838 | ||||||||
\(254\) | −1.65486 | −0.103835 | ||||||||
\(255\) | 4.24484 | + | 0.193586i | 0.265822 | + | 0.0121228i | ||||
\(256\) | −32.3609 | −2.02256 | ||||||||
\(257\) | −5.86693 | − | 10.1618i | −0.365969 | − | 0.633876i | 0.622962 | − | 0.782252i | \(-0.285929\pi\) |
−0.988931 | + | 0.148375i | \(0.952596\pi\) | |||||||
\(258\) | −23.9684 | + | 37.4622i | −1.49221 | + | 2.33230i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −10.5146 | −0.652087 | ||||||||
\(261\) | 7.35087 | + | 0.671871i | 0.455008 | + | 0.0415878i | ||||
\(262\) | −9.73599 | − | 16.8632i | −0.601491 | − | 1.04181i | ||||
\(263\) | 3.76089 | − | 6.51406i | 0.231907 | − | 0.401674i | −0.726463 | − | 0.687206i | \(-0.758837\pi\) |
0.958369 | + | 0.285532i | \(0.0921703\pi\) | |||||||
\(264\) | −39.4794 | − | 1.80046i | −2.42979 | − | 0.110811i | ||||
\(265\) | 8.13521 | − | 14.0906i | 0.499742 | − | 0.865579i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 24.8406 | + | 1.13285i | 1.52022 | + | 0.0693296i | ||||
\(268\) | −64.1239 | −3.91699 | ||||||||
\(269\) | −9.41741 | − | 16.3114i | −0.574190 | − | 0.994526i | −0.996129 | − | 0.0879017i | \(-0.971984\pi\) |
0.421939 | − | 0.906624i | \(-0.361349\pi\) | |||||||
\(270\) | 12.5110 | + | 30.7086i | 0.761395 | + | 1.86886i | ||||
\(271\) | −11.9911 | + | 20.7693i | −0.728410 | + | 1.26164i | 0.229145 | + | 0.973392i | \(0.426407\pi\) |
−0.957555 | + | 0.288251i | \(0.906926\pi\) | |||||||
\(272\) | −2.04669 | − | 3.54498i | −0.124099 | − | 0.214946i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.51819 | + | 7.82573i | −0.272954 | + | 0.472770i | ||||
\(275\) | −3.89757 | − | 6.75078i | −0.235032 | − | 0.407088i | ||||
\(276\) | 1.03443 | − | 1.61680i | 0.0622656 | − | 0.0973202i | ||||
\(277\) | −3.58113 | + | 6.20269i | −0.215169 | + | 0.372684i | −0.953325 | − | 0.301947i | \(-0.902364\pi\) |
0.738156 | + | 0.674630i | \(0.235697\pi\) | |||||||
\(278\) | 2.52704 | − | 4.37697i | 0.151562 | − | 0.262513i | ||||
\(279\) | 4.02704 | − | 5.70397i | 0.241093 | − | 0.341488i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.44085 | − | 12.8879i | −0.443884 | − | 0.768830i | 0.554090 | − | 0.832457i | \(-0.313067\pi\) |
−0.997974 | + | 0.0636271i | \(0.979733\pi\) | |||||||
\(282\) | 23.8442 | + | 46.0220i | 1.41990 | + | 2.74057i | ||||
\(283\) | −19.9971 | −1.18870 | −0.594351 | − | 0.804205i | \(-0.702591\pi\) | ||||
−0.594351 | + | 0.804205i | \(0.702591\pi\) | |||||||
\(284\) | 13.2704 | 0.787455 | ||||||||
\(285\) | −8.37792 | − | 16.1704i | −0.496265 | − | 0.957849i | ||||
\(286\) | −5.55408 | − | 9.61996i | −0.328420 | − | 0.568840i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0.933463 | − | 1.32217i | 0.0550048 | − | 0.0779098i | ||||
\(289\) | 8.05262 | − | 13.9475i | 0.473684 | − | 0.820444i | ||||
\(290\) | 7.85087 | − | 13.5981i | 0.461019 | − | 0.798509i | ||||
\(291\) | −10.7252 | + | 16.7633i | −0.628722 | + | 0.982683i | ||||
\(292\) | −3.05555 | − | 5.29236i | −0.178812 | − | 0.309712i | ||||
\(293\) | 7.53278 | − | 13.0472i | 0.440070 | − | 0.762223i | −0.557625 | − | 0.830093i | \(-0.688287\pi\) |
0.997694 | + | 0.0678705i | \(0.0216205\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.53590 | − | 6.12435i | −0.205868 | − | 0.356574i | ||||
\(296\) | 4.50000 | − | 7.79423i | 0.261557 | − | 0.453030i | ||||
\(297\) | −14.3887 | + | 18.5274i | −0.834918 | + | 1.07507i | ||||
\(298\) | −16.6623 | − | 28.8599i | −0.965218 | − | 1.67181i | ||||
\(299\) | 0.273346 | 0.0158080 | ||||||||
\(300\) | 12.1118 | + | 0.552358i | 0.699273 | + | 0.0318904i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 12.2142 | − | 21.1556i | 0.702848 | − | 1.21737i | ||||
\(303\) | 6.36693 | + | 0.290364i | 0.365770 | + | 0.0166810i | ||||
\(304\) | −8.77188 | + | 15.1933i | −0.503102 | + | 0.871398i | ||||
\(305\) | −2.94805 | − | 5.10618i | −0.168805 | − | 0.292379i | ||||
\(306\) | −6.95331 | − | 0.635534i | −0.397494 | − | 0.0363310i | ||||
\(307\) | 27.2704 | 1.55641 | 0.778203 | − | 0.628013i | \(-0.216132\pi\) | ||||
0.778203 | + | 0.628013i | \(0.216132\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.07947 | + | 14.1911i | −0.516513 | + | 0.807302i | ||||
\(310\) | −7.42627 | − | 12.8627i | −0.421784 | − | 0.730551i | ||||
\(311\) | 15.9823 | 0.906273 | 0.453136 | − | 0.891441i | \(-0.350305\pi\) | ||||
0.453136 | + | 0.891441i | \(0.350305\pi\) | |||||||
\(312\) | 8.74484 | + | 0.398809i | 0.495079 | + | 0.0225781i | ||||
\(313\) | −11.5979 | −0.655549 | −0.327775 | − | 0.944756i | \(-0.606299\pi\) | ||||
−0.327775 | + | 0.944756i | \(0.606299\pi\) | |||||||
\(314\) | 14.8961 | 0.840636 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 59.6313 | 3.35452 | ||||||||
\(317\) | −2.01771 | −0.113326 | −0.0566629 | − | 0.998393i | \(-0.518046\pi\) | ||||
−0.0566629 | + | 0.998393i | \(0.518046\pi\) | |||||||
\(318\) | −14.4086 | + | 22.5204i | −0.807992 | + | 1.26288i | ||||
\(319\) | 11.1082 | 0.621938 | ||||||||
\(320\) | 9.50214 | + | 16.4582i | 0.531186 | + | 0.920040i | ||||
\(321\) | −2.37792 | − | 0.108445i | −0.132722 | − | 0.00605281i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.83482 | 0.213375 | ||||||||
\(324\) | −12.2127 | − | 34.3822i | −0.678485 | − | 1.91012i | ||||
\(325\) | 0.863327 | + | 1.49533i | 0.0478888 | + | 0.0829458i | ||||
\(326\) | 21.9195 | − | 37.9658i | 1.21401 | − | 2.10273i | ||||
\(327\) | 3.17305 | − | 4.95943i | 0.175470 | − | 0.274257i | ||||
\(328\) | 16.1893 | − | 28.0407i | 0.893904 | − | 1.54829i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 22.9554 | + | 44.3067i | 1.26366 | + | 2.43900i | ||||
\(331\) | −19.7089 | −1.08330 | −0.541651 | − | 0.840604i | \(-0.682200\pi\) | ||||
−0.541651 | + | 0.840604i | \(0.682200\pi\) | |||||||
\(332\) | −1.91741 | − | 3.32105i | −0.105232 | − | 0.182266i | ||||
\(333\) | −2.23891 | − | 4.85041i | −0.122692 | − | 0.265801i | ||||
\(334\) | 10.4174 | − | 18.0435i | 0.570015 | − | 0.987296i | ||||
\(335\) | 20.5115 | + | 35.5269i | 1.12066 | + | 1.94104i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.5256 | − | 25.1590i | 0.791259 | − | 1.37050i | −0.133929 | − | 0.990991i | \(-0.542759\pi\) |
0.925188 | − | 0.379509i | \(-0.123907\pi\) | |||||||
\(338\) | −14.7630 | − | 25.5703i | −0.803003 | − | 1.39084i | ||||
\(339\) | 17.9751 | + | 0.819755i | 0.976273 | + | 0.0445230i | ||||
\(340\) | −4.97296 | + | 8.61342i | −0.269697 | + | 0.467128i | ||||
\(341\) | 5.25370 | − | 9.09967i | 0.284504 | − | 0.492775i | ||||
\(342\) | 12.5416 | + | 27.1704i | 0.678174 | + | 1.46921i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −26.3712 | − | 45.6763i | −1.42184 | − | 2.46270i | ||||
\(345\) | −1.22665 | − | 0.0559416i | −0.0660408 | − | 0.00301179i | ||||
\(346\) | 42.7060 | 2.29589 | ||||||||
\(347\) | 29.0833 | 1.56127 | 0.780636 | − | 0.624986i | \(-0.214895\pi\) | ||||
0.780636 | + | 0.624986i | \(0.214895\pi\) | |||||||
\(348\) | −9.31138 | + | 14.5535i | −0.499142 | + | 0.780152i | ||||
\(349\) | 12.3815 | + | 21.4454i | 0.662767 | + | 1.14795i | 0.979885 | + | 0.199561i | \(0.0639515\pi\) |
−0.317118 | + | 0.948386i | \(0.602715\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.18716 | − | 4.10390i | 0.170118 | − | 0.219050i | ||||
\(352\) | 1.21780 | − | 2.10929i | 0.0649089 | − | 0.112426i | ||||
\(353\) | −16.6513 | + | 28.8408i | −0.886257 | + | 1.53504i | −0.0419914 | + | 0.999118i | \(0.513370\pi\) |
−0.844266 | + | 0.535925i | \(0.819963\pi\) | |||||||
\(354\) | 5.34562 | + | 10.3177i | 0.284116 | + | 0.548378i | ||||
\(355\) | −4.24484 | − | 7.35228i | −0.225293 | − | 0.390219i | ||||
\(356\) | −29.1015 | + | 50.4052i | −1.54237 | + | 2.67147i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.9626 | − | 24.1840i | −0.737949 | − | 1.27816i | ||||
\(359\) | −12.7683 | + | 22.1153i | −0.673884 | + | 1.16720i | 0.302909 | + | 0.953019i | \(0.402042\pi\) |
−0.976794 | + | 0.214182i | \(0.931291\pi\) | |||||||
\(360\) | −39.1613 | − | 3.57935i | −2.06398 | − | 0.188648i | ||||
\(361\) | 1.28220 | + | 2.22084i | 0.0674842 | + | 0.116886i | ||||
\(362\) | 53.8578 | 2.83070 | ||||||||
\(363\) | −8.75729 | + | 13.6875i | −0.459639 | + | 0.718409i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.95477 | + | 3.38576i | −0.102317 | + | 0.177219i | ||||
\(366\) | 4.45691 | + | 8.60235i | 0.232966 | + | 0.449652i | ||||
\(367\) | 13.7252 | − | 23.7727i | 0.716449 | − | 1.24093i | −0.245949 | − | 0.969283i | \(-0.579100\pi\) |
0.962398 | − | 0.271644i | \(-0.0875672\pi\) | |||||||
\(368\) | 0.591443 | + | 1.02441i | 0.0308311 | + | 0.0534011i | ||||
\(369\) | −8.05476 | − | 17.4500i | −0.419314 | − | 0.908408i | ||||
\(370\) | −11.3638 | −0.590776 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 7.51819 | + | 14.5110i | 0.389800 | + | 0.752359i | ||||
\(373\) | −8.16372 | − | 14.1400i | −0.422701 | − | 0.732140i | 0.573502 | − | 0.819204i | \(-0.305585\pi\) |
−0.996203 | + | 0.0870646i | \(0.972251\pi\) | |||||||
\(374\) | −10.5074 | −0.543324 | ||||||||
\(375\) | 6.76449 | + | 13.0563i | 0.349317 | + | 0.674222i | ||||
\(376\) | −61.4690 | −3.17002 | ||||||||
\(377\) | −2.46050 | −0.126722 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.0364 | 0.618267 | 0.309134 | − | 0.951019i | \(-0.399961\pi\) | ||||
0.309134 | + | 0.951019i | \(0.399961\pi\) | |||||||
\(380\) | 42.6270 | 2.18672 | ||||||||
\(381\) | −0.535897 | − | 1.03434i | −0.0274548 | − | 0.0529910i | ||||
\(382\) | 1.72665 | 0.0883433 | ||||||||
\(383\) | −6.21780 | − | 10.7695i | −0.317715 | − | 0.550298i | 0.662296 | − | 0.749242i | \(-0.269582\pi\) |
−0.980011 | + | 0.198944i | \(0.936249\pi\) | |||||||
\(384\) | −15.2252 | − | 29.3864i | −0.776957 | − | 1.49962i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −29.8817 | −1.52094 | ||||||||
\(387\) | −31.1768 | − | 2.84957i | −1.58481 | − | 0.144852i | ||||
\(388\) | −23.2901 | − | 40.3396i | −1.18237 | − | 2.04793i | ||||
\(389\) | −10.3004 | + | 17.8408i | −0.522250 | + | 0.904564i | 0.477414 | + | 0.878678i | \(0.341574\pi\) |
−0.999665 | + | 0.0258860i | \(0.991759\pi\) | |||||||
\(390\) | −5.08472 | − | 9.81411i | −0.257475 | − | 0.496957i | ||||
\(391\) | 0.129281 | − | 0.223922i | 0.00653803 | − | 0.0113242i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.38725 | − | 11.5462i | 0.372637 | − | 0.582427i | ||||
\(394\) | 40.3786 | 2.03424 | ||||||||
\(395\) | −19.0744 | − | 33.0378i | −0.959738 | − | 1.66231i | ||||
\(396\) | −23.0117 | − | 49.8528i | −1.15638 | − | 2.50520i | ||||
\(397\) | −11.8186 | + | 20.4704i | −0.593157 | + | 1.02738i | 0.400647 | + | 0.916233i | \(0.368785\pi\) |
−0.993804 | + | 0.111146i | \(0.964548\pi\) | |||||||
\(398\) | −27.9341 | − | 48.3833i | −1.40021 | − | 2.42524i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.73599 | + | 6.47092i | −0.186799 | + | 0.323546i | ||||
\(401\) | 1.28220 | + | 2.22084i | 0.0640300 | + | 0.110903i | 0.896263 | − | 0.443522i | \(-0.146271\pi\) |
−0.832233 | + | 0.554426i | \(0.812938\pi\) | |||||||
\(402\) | −31.0095 | − | 59.8520i | −1.54661 | − | 2.98515i | ||||
\(403\) | −1.16372 | + | 2.01561i | −0.0579688 | + | 0.100405i | ||||
\(404\) | −7.45904 | + | 12.9194i | −0.371101 | + | 0.642766i | ||||
\(405\) | −15.1424 | + | 17.7642i | −0.752432 | + | 0.882710i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.01965 | − | 6.96224i | −0.199247 | − | 0.345105i | ||||
\(408\) | 4.46264 | − | 6.97504i | 0.220934 | − | 0.345316i | ||||
\(409\) | 34.3245 | 1.69724 | 0.848619 | − | 0.529005i | \(-0.177435\pi\) | ||||
0.848619 | + | 0.529005i | \(0.177435\pi\) | |||||||
\(410\) | −40.8827 | −2.01905 | ||||||||
\(411\) | −6.35447 | − | 0.289796i | −0.313443 | − | 0.0142946i | ||||
\(412\) | −19.7163 | − | 34.1497i | −0.971354 | − | 1.68243i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 2.00933 | + | 0.183653i | 0.0987533 | + | 0.00902607i | ||||
\(415\) | −1.22665 | + | 2.12463i | −0.0602141 | + | 0.104294i | ||||
\(416\) | −0.269748 | + | 0.467216i | −0.0132255 | + | 0.0229072i | ||||
\(417\) | 3.55408 | + | 0.162084i | 0.174044 | + | 0.00793730i | ||||
\(418\) | 22.5167 | + | 39.0001i | 1.10133 | + | 1.90756i | ||||
\(419\) | 2.02850 | − | 3.51347i | 0.0990989 | − | 0.171644i | −0.812213 | − | 0.583361i | \(-0.801737\pi\) |
0.911312 | + | 0.411717i | \(0.135071\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.5344 | + | 18.2462i | 0.513417 | + | 0.889264i | 0.999879 | + | 0.0155624i | \(0.00495387\pi\) |
−0.486462 | + | 0.873702i | \(0.661713\pi\) | |||||||
\(422\) | 5.61177 | − | 9.71987i | 0.273177 | − | 0.473156i | ||||
\(423\) | −21.0438 | + | 29.8068i | −1.02318 | + | 1.44925i | ||||
\(424\) | −15.8530 | − | 27.4582i | −0.769890 | − | 1.33349i | ||||
\(425\) | 1.63327 | 0.0792252 | ||||||||
\(426\) | 6.41741 | + | 12.3863i | 0.310925 | + | 0.600121i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 2.78580 | − | 4.82515i | 0.134657 | − | 0.233232i | ||||
\(429\) | 4.21420 | − | 6.58673i | 0.203464 | − | 0.318010i | ||||
\(430\) | −33.2975 | + | 57.6729i | −1.60575 | + | 2.78123i | ||||
\(431\) | −11.3092 | − | 19.5882i | −0.544747 | − | 0.943530i | −0.998623 | − | 0.0524646i | \(-0.983292\pi\) |
0.453876 | − | 0.891065i | \(-0.350041\pi\) | |||||||
\(432\) | 22.2762 | + | 3.06472i | 1.07176 | + | 0.147452i | ||||
\(433\) | −2.41789 | −0.116196 | −0.0580982 | − | 0.998311i | \(-0.518504\pi\) | ||||
−0.0580982 | + | 0.998311i | \(0.518504\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 11.0416 | + | 0.503554i | 0.529406 | + | 0.0241436i | ||||
\(436\) | 6.89037 | + | 11.9345i | 0.329989 | + | 0.571557i | ||||
\(437\) | −1.10817 | −0.0530109 | ||||||||
\(438\) | 3.46216 | − | 5.41131i | 0.165429 | − | 0.258562i | ||||
\(439\) | 23.4897 | 1.12110 | 0.560551 | − | 0.828120i | \(-0.310589\pi\) | ||||
0.560551 | + | 0.828120i | \(0.310589\pi\) | |||||||
\(440\) | −59.1780 | −2.82120 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.32743 | 0.110705 | ||||||||
\(443\) | −13.4179 | −0.637503 | −0.318752 | − | 0.947838i | \(-0.603264\pi\) | ||||
−0.318752 | + | 0.947838i | \(0.603264\pi\) | |||||||
\(444\) | 12.4911 | + | 0.569659i | 0.592804 | + | 0.0270348i | ||||
\(445\) | 37.2350 | 1.76511 | ||||||||
\(446\) | −16.3925 | − | 28.3927i | −0.776208 | − | 1.34443i | ||||
\(447\) | 12.6426 | − | 19.7602i | 0.597975 | − | 0.934625i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.16225 | −0.432393 | −0.216197 | − | 0.976350i | \(-0.569365\pi\) | ||||
−0.216197 | + | 0.976350i | \(0.569365\pi\) | |||||||
\(450\) | 5.34154 | + | 11.5720i | 0.251803 | + | 0.545509i | ||||
\(451\) | −14.4612 | − | 25.0475i | −0.680950 | − | 1.17944i | ||||
\(452\) | −21.0584 | + | 36.4741i | −0.990502 | + | 1.71560i | ||||
\(453\) | 17.1783 | + | 0.783417i | 0.807107 | + | 0.0368082i | ||||
\(454\) | −1.69961 | + | 2.94381i | −0.0797667 | + | 0.138160i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −35.4523 | − | 1.61680i | −1.66021 | − | 0.0757138i | ||||
\(457\) | 8.81711 | 0.412447 | 0.206224 | − | 0.978505i | \(-0.433883\pi\) | ||||
0.206224 | + | 0.978505i | \(0.433883\pi\) | |||||||
\(458\) | 22.1192 | + | 38.3115i | 1.03356 | + | 1.79018i | ||||
\(459\) | −1.85447 | − | 4.55185i | −0.0865594 | − | 0.212462i | ||||
\(460\) | 1.43706 | − | 2.48906i | 0.0670033 | − | 0.116053i | ||||
\(461\) | −2.82957 | − | 4.90095i | −0.131786 | − | 0.228260i | 0.792579 | − | 0.609769i | \(-0.208738\pi\) |
−0.924365 | + | 0.381509i | \(0.875405\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.86333 | + | 13.6197i | −0.365440 | + | 0.632960i | −0.988847 | − | 0.148937i | \(-0.952415\pi\) |
0.623407 | + | 0.781898i | \(0.285748\pi\) | |||||||
\(464\) | −5.32383 | − | 9.22115i | −0.247153 | − | 0.428081i | ||||
\(465\) | 5.63473 | − | 8.80700i | 0.261304 | − | 0.408415i | ||||
\(466\) | −23.3530 | + | 40.4486i | −1.08181 | + | 1.87375i | ||||
\(467\) | −10.9985 | + | 19.0500i | −0.508952 | + | 0.881530i | 0.490995 | + | 0.871163i | \(0.336633\pi\) |
−0.999946 | + | 0.0103675i | \(0.996700\pi\) | |||||||
\(468\) | 5.09718 | + | 11.0426i | 0.235617 | + | 0.510445i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 38.8068 | + | 67.2153i | 1.79002 | + | 3.10041i | ||||
\(471\) | 4.82383 | + | 9.31056i | 0.222270 | + | 0.429008i | ||||
\(472\) | −13.7807 | −0.634310 | ||||||||
\(473\) | −47.1124 | −2.16623 | ||||||||
\(474\) | 28.8370 | + | 55.6587i | 1.32453 | + | 2.55649i | ||||
\(475\) | −3.50000 | − | 6.06218i | −0.160591 | − | 0.278152i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −18.7419 | − | 1.71301i | −0.858133 | − | 0.0784336i | ||||
\(478\) | 6.01819 | − | 10.4238i | 0.275265 | − | 0.476774i | ||||
\(479\) | 12.4875 | − | 21.6291i | 0.570571 | − | 0.988257i | −0.425937 | − | 0.904753i | \(-0.640055\pi\) |
0.996507 | − | 0.0835043i | \(-0.0266112\pi\) | |||||||
\(480\) | 1.30612 | − | 2.04145i | 0.0596161 | − | 0.0931791i | ||||
\(481\) | 0.890369 | + | 1.54216i | 0.0405973 | + | 0.0703166i | ||||
\(482\) | 32.1826 | − | 55.7419i | 1.46588 | − | 2.53897i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −19.0167 | − | 32.9379i | −0.864397 | − | 1.49718i | ||||
\(485\) | −14.8997 | + | 25.8070i | −0.676561 | + | 1.17184i | ||||
\(486\) | 26.1857 | − | 28.0259i | 1.18781 | − | 1.27128i | ||||
\(487\) | 8.79893 | + | 15.2402i | 0.398717 | + | 0.690599i | 0.993568 | − | 0.113238i | \(-0.0361221\pi\) |
−0.594851 | + | 0.803836i | \(0.702789\pi\) | |||||||
\(488\) | −11.4897 | −0.520114 | ||||||||
\(489\) | 30.8281 | + | 1.40592i | 1.39410 | + | 0.0635778i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.89757 | + | 11.9469i | −0.311283 | + | 0.539158i | −0.978640 | − | 0.205580i | \(-0.934092\pi\) |
0.667358 | + | 0.744737i | \(0.267425\pi\) | |||||||
\(492\) | 44.9384 | + | 2.04942i | 2.02598 | + | 0.0923949i | ||||
\(493\) | −1.16372 | + | 2.01561i | −0.0524111 | + | 0.0907787i | ||||
\(494\) | −4.98755 | − | 8.63868i | −0.224400 | − | 0.388673i | ||||
\(495\) | −20.2594 | + | 28.6958i | −0.910594 | + | 1.28978i | ||||
\(496\) | −10.0718 | −0.452237 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 2.17257 | − | 3.39569i | 0.0973552 | − | 0.152165i | ||||
\(499\) | −6.54377 | − | 11.3341i | −0.292939 | − | 0.507386i | 0.681564 | − | 0.731758i | \(-0.261300\pi\) |
−0.974503 | + | 0.224373i | \(0.927967\pi\) | |||||||
\(500\) | −34.4179 | −1.53921 | ||||||||
\(501\) | 14.6513 | + | 0.668172i | 0.654570 | + | 0.0298517i | ||||
\(502\) | 45.4150 | 2.02697 | ||||||||
\(503\) | 22.3068 | 0.994611 | 0.497305 | − | 0.867576i | \(-0.334323\pi\) | ||||
0.497305 | + | 0.867576i | \(0.334323\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.54377 | 0.424692 | ||||||||
\(506\) | 3.03638 | 0.134983 | ||||||||
\(507\) | 11.2016 | − | 17.5079i | 0.497478 | − | 0.777551i | ||||
\(508\) | 2.72665 | 0.120976 | ||||||||
\(509\) | −7.94659 | − | 13.7639i | −0.352226 | − | 0.610074i | 0.634413 | − | 0.772994i | \(-0.281242\pi\) |
−0.986639 | + | 0.162920i | \(0.947909\pi\) | |||||||
\(510\) | −10.4445 | − | 0.476320i | −0.462488 | − | 0.0210918i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 41.4078 | 1.82998 | ||||||||
\(513\) | −12.9210 | + | 16.6376i | −0.570477 | + | 0.734567i | ||||
\(514\) | 14.4356 | + | 25.0032i | 0.636727 | + | 1.10284i | ||||
\(515\) | −12.6134 | + | 21.8471i | −0.555814 | + | 0.962698i | ||||
\(516\) | 39.4918 | − | 61.7251i | 1.73853 | − | 2.71730i | ||||
\(517\) | −27.4538 | + | 47.5514i | −1.20742 | + | 2.09131i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.8296 | + | 26.6927i | 0.607051 | + | 1.17168i | ||||
\(520\) | 13.1082 | 0.574831 | ||||||||
\(521\) | 2.20895 | + | 3.82600i | 0.0967756 | + | 0.167620i | 0.910348 | − | 0.413843i | \(-0.135814\pi\) |
−0.813573 | + | 0.581463i | \(0.802480\pi\) | |||||||
\(522\) | −18.0869 | − | 1.65314i | −0.791640 | − | 0.0723561i | ||||
\(523\) | 12.6367 | − | 21.8874i | 0.552563 | − | 0.957067i | −0.445526 | − | 0.895269i | \(-0.646983\pi\) |
0.998089 | − | 0.0617982i | \(-0.0196835\pi\) | |||||||
\(524\) | 16.0416 | + | 27.7849i | 0.700782 | + | 1.21379i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.25370 | + | 16.0279i | −0.403480 | + | 0.698848i | ||||
\(527\) | 1.10078 | + | 1.90660i | 0.0479506 | + | 0.0830528i | ||||
\(528\) | 33.8032 | + | 1.54160i | 1.47110 | + | 0.0670894i | ||||
\(529\) | 11.4626 | − | 19.8539i | 0.498376 | − | 0.863212i | ||||
\(530\) | −20.0167 | + | 34.6700i | −0.869471 | + | 1.50597i | ||||
\(531\) | −4.71780 | + | 6.68238i | −0.204735 | + | 0.289990i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.20321 | + | 5.54812i | 0.138746 | + | 0.240316i | ||||
\(534\) | −61.1203 | − | 2.78739i | −2.64493 | − | 0.120622i | ||||
\(535\) | −3.56440 | −0.154103 | ||||||||
\(536\) | 79.9410 | 3.45293 | ||||||||
\(537\) | 10.5943 | − | 16.5587i | 0.457176 | − | 0.714559i | ||||
\(538\) | 23.1716 | + | 40.1344i | 0.998998 | + | 1.73032i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −20.6139 | − | 50.5974i | −0.887081 | − | 2.17736i | ||||
\(541\) | 1.71926 | − | 2.97785i | 0.0739168 | − | 0.128028i | −0.826698 | − | 0.562646i | \(-0.809783\pi\) |
0.900615 | + | 0.434618i | \(0.143117\pi\) | |||||||
\(542\) | 29.5043 | − | 51.1029i | 1.26732 | − | 2.19506i | ||||
\(543\) | 17.4409 | + | 33.6629i | 0.748459 | + | 1.44461i | ||||
\(544\) | 0.255158 | + | 0.441947i | 0.0109398 | + | 0.0189483i | ||||
\(545\) | 4.40808 | − | 7.63501i | 0.188821 | − | 0.327048i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.46410 | + | 6.00000i | 0.148114 | + | 0.256542i | 0.930531 | − | 0.366214i | \(-0.119346\pi\) |
−0.782416 | + | 0.622756i | \(0.786013\pi\) | |||||||
\(548\) | 7.44445 | − | 12.8942i | 0.318011 | − | 0.550812i | ||||
\(549\) | −3.93346 | + | 5.57143i | −0.167876 | + | 0.237783i | ||||
\(550\) | 9.58998 | + | 16.6103i | 0.408918 | + | 0.708267i | ||||
\(551\) | 9.97509 | 0.424953 | ||||||||
\(552\) | −1.28959 | + | 2.01561i | −0.0548887 | + | 0.0857902i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 8.81138 | − | 15.2618i | 0.374360 | − | 0.648410i | ||||
\(555\) | −3.67996 | − | 7.10275i | −0.156206 | − | 0.301495i | ||||
\(556\) | −4.16372 | + | 7.21177i | −0.176581 | + | 0.305847i | ||||
\(557\) | −16.7917 | − | 29.0841i | −0.711488 | − | 1.23233i | −0.964298 | − | 0.264818i | \(-0.914688\pi\) |
0.252810 | − | 0.967516i | \(-0.418645\pi\) | |||||||
\(558\) | −9.90856 | + | 14.0347i | −0.419463 | + | 0.594134i | ||||
\(559\) | 10.4356 | 0.441379 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.40263 | − | 6.56747i | −0.143659 | − | 0.277279i | ||||
\(562\) | 18.3083 | + | 31.7108i | 0.772287 | + | 1.33764i | ||||
\(563\) | −42.4792 | −1.79028 | −0.895142 | − | 0.445781i | \(-0.852926\pi\) | ||||
−0.895142 | + | 0.445781i | \(0.852926\pi\) | |||||||
\(564\) | −39.2871 | − | 75.8288i | −1.65429 | − | 3.19297i | ||||
\(565\) | 26.9439 | 1.13354 | ||||||||
\(566\) | 49.2029 | 2.06815 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −16.5438 | −0.694161 | ||||||||
\(569\) | 10.4035 | 0.436137 | 0.218069 | − | 0.975933i | \(-0.430024\pi\) | ||||
0.218069 | + | 0.975933i | \(0.430024\pi\) | |||||||
\(570\) | 20.6139 | + | 39.7872i | 0.863421 | + | 1.66650i | ||||
\(571\) | 17.8496 | 0.746983 | 0.373491 | − | 0.927634i | \(-0.378161\pi\) | ||||
0.373491 | + | 0.927634i | \(0.378161\pi\) | |||||||
\(572\) | 9.15126 | + | 15.8505i | 0.382633 | + | 0.662741i | ||||
\(573\) | 0.559145 | + | 1.07922i | 0.0233586 | + | 0.0450849i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.471974 | −0.0196827 | ||||||||
\(576\) | 12.6783 | − | 17.9578i | 0.528263 | − | 0.748241i | ||||
\(577\) | 5.97150 | + | 10.3429i | 0.248597 | + | 0.430582i | 0.963137 | − | 0.269013i | \(-0.0866973\pi\) |
−0.714540 | + | 0.699595i | \(0.753364\pi\) | |||||||
\(578\) | −19.8135 | + | 34.3180i | −0.824134 | + | 1.42744i | ||||
\(579\) | −9.67665 | − | 18.6771i | −0.402148 | − | 0.776192i | ||||
\(580\) | −12.9356 | + | 22.4051i | −0.537122 | + | 0.930322i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 26.3894 | − | 41.2462i | 1.09388 | − | 1.70971i | ||||
\(583\) | −28.3216 | −1.17296 | ||||||||
\(584\) | 3.80924 | + | 6.59780i | 0.157628 | + | 0.273019i | ||||
\(585\) | 4.48755 | − | 6.35624i | 0.185537 | − | 0.262798i | ||||
\(586\) | −18.5344 | + | 32.1026i | −0.765650 | + | 1.32615i | ||||
\(587\) | 11.9299 | + | 20.6631i | 0.492398 | + | 0.852859i | 0.999962 | − | 0.00875568i | \(-0.00278706\pi\) |
−0.507563 | + | 0.861614i | \(0.669454\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.71780 | − | 8.17147i | 0.194394 | − | 0.336699i | ||||
\(590\) | 8.70009 | + | 15.0690i | 0.358177 | + | 0.620381i | ||||
\(591\) | 13.0759 | + | 25.2380i | 0.537869 | + | 1.03815i | ||||
\(592\) | −3.85301 | + | 6.67361i | −0.158358 | + | 0.274284i | ||||
\(593\) | 9.79007 | − | 16.9569i | 0.402030 | − | 0.696336i | −0.591941 | − | 0.805981i | \(-0.701638\pi\) |
0.993971 | + | 0.109645i | \(0.0349714\pi\) | |||||||
\(594\) | 35.4035 | − | 45.5868i | 1.45262 | − | 1.87045i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 27.4538 | + | 47.5514i | 1.12455 | + | 1.94778i | ||||
\(597\) | 21.1952 | − | 33.1278i | 0.867463 | − | 1.35583i | ||||
\(598\) | −0.672570 | −0.0275034 | ||||||||
\(599\) | 18.5467 | 0.757797 | 0.378899 | − | 0.925438i | \(-0.376303\pi\) | ||||
0.378899 | + | 0.925438i | \(0.376303\pi\) | |||||||
\(600\) | −15.0993 | − | 0.688605i | −0.616427 | − | 0.0281122i | ||||
\(601\) | −9.09931 | − | 15.7605i | −0.371169 | − | 0.642883i | 0.618577 | − | 0.785724i | \(-0.287710\pi\) |
−0.989746 | + | 0.142841i | \(0.954376\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 27.3676 | − | 38.7640i | 1.11449 | − | 1.57859i | ||||
\(604\) | −20.1249 | + | 34.8573i | −0.818870 | + | 1.41832i | ||||
\(605\) | −12.1659 | + | 21.0719i | −0.494612 | + | 0.856693i | ||||
\(606\) | −15.6659 | − | 0.714442i | −0.636382 | − | 0.0290222i | ||||
\(607\) | −11.1549 | − | 19.3208i | −0.452762 | − | 0.784206i | 0.545795 | − | 0.837919i | \(-0.316228\pi\) |
−0.998556 | + | 0.0537125i | \(0.982895\pi\) | |||||||
\(608\) | 1.09358 | − | 1.89413i | 0.0443505 | − | 0.0768173i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.25370 | + | 12.5638i | 0.293694 | + | 0.508692i | ||||
\(611\) | 6.08113 | − | 10.5328i | 0.246016 | − | 0.426112i | ||||
\(612\) | 11.4567 | + | 1.04715i | 0.463110 | + | 0.0423284i | ||||
\(613\) | −5.11849 | − | 8.86548i | −0.206734 | − | 0.358073i | 0.743950 | − | 0.668235i | \(-0.232950\pi\) |
−0.950684 | + | 0.310162i | \(0.899617\pi\) | |||||||
\(614\) | −67.0990 | −2.70790 | ||||||||
\(615\) | −13.2391 | − | 25.5530i | −0.533852 | − | 1.03040i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 5.66372 | − | 9.80984i | 0.228013 | − | 0.394929i | −0.729206 | − | 0.684294i | \(-0.760111\pi\) |
0.957219 | + | 0.289364i | \(0.0934439\pi\) | |||||||
\(618\) | 22.3401 | − | 34.9172i | 0.898650 | − | 1.40458i | ||||
\(619\) | 4.31663 | − | 7.47663i | 0.173500 | − | 0.300511i | −0.766141 | − | 0.642672i | \(-0.777826\pi\) |
0.939641 | + | 0.342161i | \(0.111159\pi\) | |||||||
\(620\) | 12.2360 | + | 21.1934i | 0.491409 | + | 0.851145i | ||||
\(621\) | 0.535897 | + | 1.31537i | 0.0215048 | + | 0.0527841i | ||||
\(622\) | −39.3245 | −1.57677 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −7.48755 | − | 0.341470i | −0.299742 | − | 0.0136697i | ||||
\(625\) | 15.3260 | + | 26.5454i | 0.613039 | + | 1.06181i | ||||
\(626\) | 28.5366 | 1.14055 | ||||||||
\(627\) | −17.0847 | + | 26.7032i | −0.682298 | + | 1.06642i | ||||
\(628\) | −24.5438 | −0.979403 | ||||||||
\(629\) | 1.68443 | 0.0671626 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.8535 | −0.591308 | −0.295654 | − | 0.955295i | \(-0.595538\pi\) | ||||
−0.295654 | + | 0.955295i | \(0.595538\pi\) | |||||||
\(632\) | −74.3402 | −2.95710 | ||||||||
\(633\) | 7.89251 | + | 0.359938i | 0.313699 | + | 0.0143063i | ||||
\(634\) | 4.96458 | 0.197169 | ||||||||
\(635\) | −0.872181 | − | 1.51066i | −0.0346115 | − | 0.0599488i | ||||
\(636\) | 23.7405 | − | 37.1060i | 0.941370 | − | 1.47135i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −27.3317 | −1.08207 | ||||||||
\(639\) | −5.66372 | + | 8.02219i | −0.224053 | + | 0.317353i | ||||
\(640\) | −24.7793 | − | 42.9190i | −0.979487 | − | 1.69652i | ||||
\(641\) | 17.0797 | − | 29.5828i | 0.674606 | − | 1.16845i | −0.301978 | − | 0.953315i | \(-0.597647\pi\) |
0.976584 | − | 0.215137i | \(-0.0690199\pi\) | |||||||
\(642\) | 5.85087 | + | 0.266829i | 0.230916 | + | 0.0105309i | ||||
\(643\) | −5.41741 | + | 9.38323i | −0.213642 | + | 0.370039i | −0.952852 | − | 0.303437i | \(-0.901866\pi\) |
0.739210 | + | 0.673475i | \(0.235199\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −46.8302 | − | 2.13570i | −1.84394 | − | 0.0840929i | ||||
\(646\) | −9.43560 | −0.371239 | ||||||||
\(647\) | 16.4846 | + | 28.5522i | 0.648077 | + | 1.12250i | 0.983582 | + | 0.180464i | \(0.0577600\pi\) |
−0.335504 | + | 0.942039i | \(0.608907\pi\) | |||||||
\(648\) | 15.2252 | + | 42.8630i | 0.598102 | + | 1.68382i | ||||
\(649\) | −6.15486 | + | 10.6605i | −0.241599 | + | 0.418462i | ||||
\(650\) | −2.12422 | − | 3.67926i | −0.0833188 | − | 0.144312i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −36.1160 | + | 62.5548i | −1.41441 | + | 2.44984i | ||||
\(653\) | 1.96557 | + | 3.40446i | 0.0769185 | + | 0.133227i | 0.901919 | − | 0.431905i | \(-0.142159\pi\) |
−0.825000 | + | 0.565132i | \(0.808825\pi\) | |||||||
\(654\) | −7.80730 | + | 12.2027i | −0.305290 | + | 0.477163i | ||||
\(655\) | 10.2626 | − | 17.7753i | 0.400991 | − | 0.694537i | ||||
\(656\) | −13.8617 | + | 24.0091i | −0.541207 | + | 0.937399i | ||||
\(657\) | 4.50340 | + | 0.411612i | 0.175695 | + | 0.0160585i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −8.40856 | − | 14.5640i | −0.327551 | − | 0.567335i | 0.654474 | − | 0.756084i | \(-0.272890\pi\) |
−0.982025 | + | 0.188749i | \(0.939557\pi\) | |||||||
\(660\) | −37.8228 | − | 73.0025i | −1.47225 | − | 2.84162i | ||||
\(661\) | 17.0216 | 0.662063 | 0.331032 | − | 0.943620i | \(-0.392603\pi\) | ||||
0.331032 | + | 0.943620i | \(0.392603\pi\) | |||||||
\(662\) | 48.4940 | 1.88477 | ||||||||
\(663\) | 0.753696 | + | 1.45472i | 0.0292711 | + | 0.0564967i | ||||
\(664\) | 2.39037 | + | 4.14024i | 0.0927643 | + | 0.160672i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 5.50885 | + | 11.9345i | 0.213464 | + | 0.462451i | ||||
\(667\) | 0.336285 | − | 0.582462i | 0.0130210 | − | 0.0225530i | ||||
\(668\) | −17.1644 | + | 29.7296i | −0.664110 | + | 1.15027i | ||||
\(669\) | 12.4379 | − | 19.4403i | 0.480878 | − | 0.751605i | ||||
\(670\) | −50.4686 | − | 87.4141i | −1.94977 | − | 3.37710i | ||||
\(671\) | −5.13161 | + | 8.88821i | −0.198104 | + | 0.343126i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.3727 | − | 24.8942i | −0.554025 | − | 0.959600i | −0.997979 | − | 0.0635501i | \(-0.979758\pi\) |
0.443953 | − | 0.896050i | \(-0.353576\pi\) | |||||||
\(674\) | −35.7403 | + | 61.9039i | −1.37666 | + | 2.38445i | ||||
\(675\) | −5.50312 | + | 7.08602i | −0.211815 | + | 0.272741i | ||||
\(676\) | 24.3245 | + | 42.1313i | 0.935558 | + | 1.62043i | ||||
\(677\) | 6.03638 | 0.231997 | 0.115998 | − | 0.993249i | \(-0.462993\pi\) | ||||
0.115998 | + | 0.993249i | \(0.462993\pi\) | |||||||
\(678\) | −44.2278 | − | 2.01701i | −1.69856 | − | 0.0774628i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 6.19961 | − | 10.7380i | 0.237744 | − | 0.411785i | ||||
\(681\) | −2.39037 | − | 0.109013i | −0.0915991 | − | 0.00417738i | ||||
\(682\) | −12.9267 | + | 22.3898i | −0.494991 | + | 0.857349i | ||||
\(683\) | −10.2556 | − | 17.7633i | −0.392421 | − | 0.679693i | 0.600347 | − | 0.799739i | \(-0.295029\pi\) |
−0.992768 | + | 0.120046i | \(0.961696\pi\) | |||||||
\(684\) | −20.6644 | − | 44.7677i | −0.790123 | − | 1.71173i | ||||
\(685\) | −9.52510 | −0.363935 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −16.7831 | + | 26.2317i | −0.640314 | + | 1.00080i | ||||
\(688\) | 22.5797 | + | 39.1091i | 0.860842 | + | 1.49102i | ||||
\(689\) | 6.27335 | 0.238995 | ||||||||
\(690\) | 3.01819 | + | 0.137645i | 0.114900 | + | 0.00524004i | ||||
\(691\) | 15.0029 | 0.570738 | 0.285369 | − | 0.958418i | \(-0.407884\pi\) | ||||
0.285369 | + | 0.958418i | \(0.407884\pi\) | |||||||
\(692\) | −70.3652 | −2.67488 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −71.5595 | −2.71636 | ||||||||
\(695\) | 5.32743 | 0.202081 | ||||||||
\(696\) | 11.6082 | − | 18.1434i | 0.440006 | − | 0.687724i | ||||
\(697\) | 6.05993 | 0.229536 | ||||||||
\(698\) | −30.4648 | − | 52.7665i | −1.15311 | − | 1.99724i | ||||
\(699\) | −32.8442 | − | 1.49786i | −1.24228 | − | 0.0566542i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 38.5113 | 1.45455 | 0.727275 | − | 0.686346i | \(-0.240786\pi\) | ||||
0.727275 | + | 0.686346i | \(0.240786\pi\) | |||||||
\(702\) | −7.84202 | + | 10.0977i | −0.295978 | + | 0.381112i | ||||
\(703\) | −3.60963 | − | 6.25206i | −0.136140 | − | 0.235801i | ||||
\(704\) | 16.5402 | − | 28.6484i | 0.623381 | − | 1.07973i | ||||
\(705\) | −29.4449 | + | 46.0220i | −1.10896 | + | 1.73329i | ||||
\(706\) | 40.9705 | − | 70.9630i | 1.54195 | − | 2.67073i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −8.80778 | − | 17.0000i | −0.331017 | − | 0.638901i | ||||
\(709\) | 7.64008 | 0.286929 | 0.143465 | − | 0.989655i | \(-0.454176\pi\) | ||||
0.143465 | + | 0.989655i | \(0.454176\pi\) | |||||||
\(710\) | 10.4445 | + | 18.0903i | 0.391973 | + | 0.678918i | ||||
\(711\) | −25.4502 | + | 36.0481i | −0.954457 | + | 1.35191i | ||||
\(712\) | 36.2798 | − | 62.8384i | 1.35964 | − | 2.35497i | ||||
\(713\) | −0.318097 | − | 0.550960i | −0.0119128 | − | 0.0206336i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.85447 | − | 10.1402i | 0.218945 | − | 0.379224i | ||||
\(716\) | 23.0057 | + | 39.8471i | 0.859765 | + | 1.48916i | ||||
\(717\) | 8.46410 | + | 0.386006i | 0.316098 | + | 0.0144157i | ||||
\(718\) | 31.4164 | − | 54.4148i | 1.17245 | − | 2.03074i | ||||
\(719\) | −15.0182 | + | 26.0123i | −0.560084 | + | 0.970094i | 0.437405 | + | 0.899265i | \(0.355898\pi\) |
−0.997488 | + | 0.0708289i | \(0.977436\pi\) | |||||||
\(720\) | 33.5308 | + | 3.06472i | 1.24962 | + | 0.114216i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −3.15486 | − | 5.46438i | −0.117412 | − | 0.203363i | ||||
\(723\) | 45.2622 | + | 2.06419i | 1.68332 | + | 0.0767679i | ||||
\(724\) | −88.7395 | −3.29798 | ||||||||
\(725\) | 4.24844 | 0.157783 | ||||||||
\(726\) | 21.5474 | − | 33.6782i | 0.799698 | − | 1.24992i | ||||
\(727\) | 1.72812 | + | 2.99319i | 0.0640923 | + | 0.111011i | 0.896291 | − | 0.443466i | \(-0.146251\pi\) |
−0.832199 | + | 0.554478i | \(0.812918\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.9969 | + | 7.29124i | 0.962847 | + | 0.270046i | ||||
\(730\) | 4.80972 | − | 8.33068i | 0.178016 | − | 0.308332i | ||||
\(731\) | 4.93560 | − | 8.54871i | 0.182550 | − | 0.316185i | ||||
\(732\) | −7.34348 | − | 14.1738i | −0.271423 | − | 0.523878i | ||||
\(733\) | 19.2630 | + | 33.3645i | 0.711496 | + | 1.23235i | 0.964295 | + | 0.264829i | \(0.0853155\pi\) |
−0.252799 | + | 0.967519i | \(0.581351\pi\) | |||||||
\(734\) | −33.7709 | + | 58.4929i | −1.24651 | + | 2.15901i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0737345 | − | 0.127712i | −0.00271789 | − | 0.00470752i | ||||
\(737\) | 35.7039 | − | 61.8409i | 1.31517 | − | 2.27794i | ||||
\(738\) | 19.8188 | + | 42.9357i | 0.729539 | + | 1.58048i | ||||
\(739\) | −22.5620 | − | 39.0785i | −0.829955 | − | 1.43752i | −0.898073 | − | 0.439847i | \(-0.855033\pi\) |
0.0681179 | − | 0.997677i | \(-0.478301\pi\) | |||||||
\(740\) | 18.7237 | 0.688298 | ||||||||
\(741\) | 3.78434 | − | 5.91486i | 0.139021 | − | 0.217288i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.74338 | + | 8.21577i | −0.174018 | + | 0.301407i | −0.939821 | − | 0.341668i | \(-0.889008\pi\) |
0.765803 | + | 0.643075i | \(0.222342\pi\) | |||||||
\(744\) | −9.37266 | − | 18.0903i | −0.343618 | − | 0.663223i | ||||
\(745\) | 17.5634 | − | 30.4207i | 0.643474 | − | 1.11453i | ||||
\(746\) | 20.0869 | + | 34.7915i | 0.735432 | + | 1.27381i | ||||
\(747\) | 2.82597 | + | 0.258294i | 0.103397 | + | 0.00945048i | ||||
\(748\) | 17.3126 | 0.633013 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −16.6441 | − | 32.1250i | −0.607755 | − | 1.17304i | ||||
\(751\) | 4.91595 | + | 8.51467i | 0.179386 | + | 0.310705i | 0.941670 | − | 0.336537i | \(-0.109256\pi\) |
−0.762285 | + | 0.647242i | \(0.775922\pi\) | |||||||
\(752\) | 52.6313 | 1.91927 | ||||||||
\(753\) | 14.7068 | + | 28.3859i | 0.535946 | + | 1.03444i | ||||
\(754\) | 6.05408 | 0.220477 | ||||||||
\(755\) | 25.7496 | 0.937124 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −41.8171 | −1.51987 | −0.759934 | − | 0.650000i | \(-0.774769\pi\) | ||||
−0.759934 | + | 0.650000i | \(0.774769\pi\) | |||||||
\(758\) | −29.6156 | −1.07569 | ||||||||
\(759\) | 0.983275 | + | 1.89783i | 0.0356906 | + | 0.0688870i | ||||
\(760\) | −53.1416 | −1.92765 | ||||||||
\(761\) | 11.4897 | + | 19.9007i | 0.416501 | + | 0.721400i | 0.995585 | − | 0.0938675i | \(-0.0299230\pi\) |
−0.579084 | + | 0.815268i | \(0.696590\pi\) | |||||||
\(762\) | 1.31858 | + | 2.54500i | 0.0477670 | + | 0.0921958i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −2.84494 | −0.102926 | ||||||||
\(765\) | −3.08453 | − | 6.68238i | −0.111521 | − | 0.241602i | ||||
\(766\) | 15.2989 | + | 26.4985i | 0.552773 | + | 0.957430i | ||||
\(767\) | 1.36333 | − | 2.36135i | 0.0492269 | − | 0.0852635i | ||||
\(768\) | 25.7848 | + | 49.7677i | 0.930429 | + | 1.79584i | ||||
\(769\) | 3.04329 | − | 5.27113i | 0.109744 | − | 0.190082i | −0.805923 | − | 0.592021i | \(-0.798330\pi\) |
0.915666 | + | 0.401939i | \(0.131664\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −10.9531 | + | 17.1196i | −0.394467 | + | 0.616546i | ||||
\(772\) | 49.2350 | 1.77201 | ||||||||
\(773\) | −20.9107 | − | 36.2184i | −0.752105 | − | 1.30268i | −0.946801 | − | 0.321821i | \(-0.895705\pi\) |
0.194695 | − | 0.980864i | \(-0.437628\pi\) | |||||||
\(774\) | 76.7108 | + | 7.01138i | 2.75731 | + | 0.252019i | ||||
\(775\) | 2.00933 | − | 3.48027i | 0.0721774 | − | 0.125015i | ||||
\(776\) | 29.0349 | + | 50.2899i | 1.04229 | + | 1.80530i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 25.3442 | − | 43.8974i | 0.908632 | − | 1.57380i | ||||
\(779\) | −12.9861 | − | 22.4926i | −0.465275 | − | 0.805880i | ||||
\(780\) | 8.37792 | + | 16.1704i | 0.299978 | + | 0.578991i | ||||
\(781\) | −7.38891 | + | 12.7980i | −0.264396 | + | 0.457947i | ||||
\(782\) | −0.318097 | + | 0.550960i | −0.0113751 | + | 0.0197023i | ||||
\(783\) | −4.82383 | − | 11.8402i | −0.172390 | − | 0.423135i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.85087 | + | 13.5981i | 0.280210 | + | 0.485337i | ||||
\(786\) | −18.1764 | + | 28.4094i | −0.648329 | + | 1.01333i | ||||
\(787\) | −32.2920 | −1.15109 | −0.575543 | − | 0.817772i | \(-0.695209\pi\) | ||||
−0.575543 | + | 0.817772i | \(0.695209\pi\) | |||||||
\(788\) | −66.5303 | −2.37004 | ||||||||
\(789\) | −13.0146 | − | 0.593531i | −0.463332 | − | 0.0211303i | ||||
\(790\) | 46.9327 | + | 81.2898i | 1.66979 | + | 2.89216i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 28.6878 | + | 62.1498i | 1.01938 | + | 2.20840i | ||||
\(793\) | 1.13667 | − | 1.96878i | 0.0403644 | − | 0.0699133i | ||||
\(794\) | 29.0797 | − | 50.3675i | 1.03200 | − | 1.78747i | ||||
\(795\) | −28.1519 | − | 1.28387i | −0.998446 | − | 0.0455342i | ||||
\(796\) | 46.0261 | + | 79.7195i | 1.63135 | + | 2.82558i | ||||
\(797\) | 23.2829 | − | 40.3271i | 0.824722 | − | 1.42846i | −0.0774101 | − | 0.996999i | \(-0.524665\pi\) |
0.902132 | − | 0.431461i | \(-0.142002\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.75223 | − | 9.96316i | −0.203499 | − | 0.352471i | ||||
\(800\) | 0.465761 | − | 0.806721i | 0.0164671 | − | 0.0285219i | ||||
\(801\) | −18.0505 | − | 39.1049i | −0.637783 | − | 1.38170i | ||||
\(802\) | −3.15486 | − | 5.46438i | −0.111402 | − | 0.192954i | ||||
\(803\) | 6.80525 | 0.240152 | ||||||||
\(804\) | 51.0933 | + | 98.6159i | 1.80192 | + | 3.47792i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.86333 | − | 4.95943i | 0.100856 | − | 0.174688i | ||||
\(807\) | −17.5816 | + | 27.4798i | −0.618902 | + | 0.967334i | ||||
\(808\) | 9.29893 | − | 16.1062i | 0.327135 | − | 0.566615i | ||||
\(809\) | 5.40116 | + | 9.35509i | 0.189895 | + | 0.328908i | 0.945215 | − | 0.326448i | \(-0.105852\pi\) |
−0.755320 | + | 0.655356i | \(0.772519\pi\) | |||||||
\(810\) | 37.2580 | − | 43.7089i | 1.30911 | − | 1.53577i | ||||
\(811\) | −5.58307 | −0.196048 | −0.0980240 | − | 0.995184i | \(-0.531252\pi\) | ||||
−0.0980240 | + | 0.995184i | \(0.531252\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 41.4954 | + | 1.89240i | 1.45531 | + | 0.0663694i | ||||
\(814\) | 9.89037 | + | 17.1306i | 0.346657 | + | 0.600428i | ||||
\(815\) | 46.2101 | 1.61867 | ||||||||
\(816\) | −3.82102 | + | 5.97220i | −0.133763 | + | 0.209069i | ||||
\(817\) | −42.3068 | −1.48013 | ||||||||
\(818\) | −84.4556 | −2.95292 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 67.3609 | 2.35234 | ||||||||
\(821\) | −31.7879 | −1.10941 | −0.554703 | − | 0.832048i | \(-0.687168\pi\) | ||||
−0.554703 | + | 0.832048i | \(0.687168\pi\) | |||||||
\(822\) | 15.6352 | + | 0.713045i | 0.545341 | + | 0.0248703i | ||||
\(823\) | −36.0000 | −1.25488 | −0.627441 | − | 0.778664i | \(-0.715897\pi\) | ||||
−0.627441 | + | 0.778664i | \(0.715897\pi\) | |||||||
\(824\) | 24.5797 | + | 42.5732i | 0.856273 | + | 1.48311i | ||||
\(825\) | −7.27647 | + | 11.3730i | −0.253334 | + | 0.395957i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.9224 | 0.553675 | 0.276837 | − | 0.960917i | \(-0.410714\pi\) | ||||
0.276837 | + | 0.960917i | \(0.410714\pi\) | |||||||
\(828\) | −3.31071 | − | 0.302599i | −0.115055 | − | 0.0105160i | ||||
\(829\) | 17.7360 | + | 30.7196i | 0.615996 | + | 1.06694i | 0.990209 | + | 0.139594i | \(0.0445797\pi\) |
−0.374213 | + | 0.927343i | \(0.622087\pi\) | |||||||
\(830\) | 3.01819 | − | 5.22765i | 0.104763 | − | 0.181455i | ||||
\(831\) | 12.3925 | + | 0.565161i | 0.429891 | + | 0.0196052i | ||||
\(832\) | −3.66372 | + | 6.34574i | −0.127016 | + | 0.219999i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −8.74484 | − | 0.398809i | −0.302809 | − | 0.0138096i | ||||
\(835\) | 21.9617 | 0.760014 | ||||||||
\(836\) | −37.1000 | − | 64.2591i | −1.28313 | − | 2.22245i | ||||
\(837\) | −11.9808 | − | 1.64831i | −0.414118 | − | 0.0569738i | ||||
\(838\) | −4.99115 | + | 8.64492i | −0.172416 | + | 0.298634i | ||||
\(839\) | −27.3391 | − | 47.3527i | −0.943850 | − | 1.63480i | −0.758037 | − | 0.652212i | \(-0.773841\pi\) |
−0.185814 | − | 0.982585i | \(-0.559492\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.4730 | − | 19.8717i | 0.395619 | − | 0.685233i | ||||
\(842\) | −25.9200 | − | 44.8948i | −0.893263 | − | 1.54718i | ||||
\(843\) | −13.8915 | + | 21.7122i | −0.478449 | + | 0.747809i | ||||
\(844\) | −9.24630 | + | 16.0151i | −0.318271 | + | 0.551261i | ||||
\(845\) | 15.5615 | − | 26.9533i | 0.535331 | − | 0.927221i | ||||
\(846\) | 51.7783 | − | 73.3397i | 1.78017 | − | 2.52147i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 13.5737 | + | 23.5104i | 0.466124 | + | 0.807350i | ||||
\(849\) | 15.9335 | + | 30.7534i | 0.546835 | + | 1.05546i | ||||
\(850\) | −4.01867 | −0.137839 | ||||||||
\(851\) | −0.486758 | −0.0166858 | ||||||||
\(852\) | −10.5737 | − | 20.4085i | −0.362250 | − | 0.699185i | ||||
\(853\) | −1.09884 | − | 1.90324i | −0.0376234 | − | 0.0651656i | 0.846601 | − | 0.532229i | \(-0.178645\pi\) |
−0.884224 | + | 0.467063i | \(0.845312\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −18.1929 | + | 25.7687i | −0.622184 | + | 0.881272i | ||||
\(856\) | −3.47296 | + | 6.01534i | −0.118703 | + | 0.205600i | ||||
\(857\) | −7.88823 | + | 13.6628i | −0.269457 | + | 0.466713i | −0.968722 | − | 0.248150i | \(-0.920178\pi\) |
0.699265 | + | 0.714863i | \(0.253511\pi\) | |||||||
\(858\) | −10.3691 | + | 16.2067i | −0.353994 | + | 0.553287i | ||||
\(859\) | 2.78813 | + | 4.82918i | 0.0951298 | + | 0.164770i | 0.909663 | − | 0.415348i | \(-0.136340\pi\) |
−0.814533 | + | 0.580117i | \(0.803007\pi\) | |||||||
\(860\) | 54.8630 | − | 95.0255i | 1.87081 | − | 3.24034i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 27.8264 | + | 48.1968i | 0.947773 | + | 1.64159i | ||||
\(863\) | −11.5634 | + | 20.0284i | −0.393623 | + | 0.681776i | −0.992924 | − | 0.118748i | \(-0.962112\pi\) |
0.599301 | + | 0.800524i | \(0.295445\pi\) | |||||||
\(864\) | −2.77714 | − | 0.382075i | −0.0944802 | − | 0.0129985i | ||||
\(865\) | 22.5079 | + | 38.9848i | 0.765291 | + | 1.32552i | ||||
\(866\) | 5.94923 | 0.202163 | ||||||||
\(867\) | −27.8661 | − | 1.27084i | −0.946384 | − | 0.0431599i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −33.2024 | + | 57.5083i | −1.12631 | + | 1.95083i | ||||
\(870\) | −27.1680 | − | 1.23900i | −0.921081 | − | 0.0420059i | ||||
\(871\) | −7.90856 | + | 13.6980i | −0.267971 | + | 0.464140i | ||||
\(872\) | −8.58998 | − | 14.8783i | −0.290893 | − | 0.503842i | ||||
\(873\) | 34.3260 | + | 3.13740i | 1.16176 | + | 0.106185i | ||||
\(874\) | 2.72665 | 0.0922304 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.70448 | + | 8.91601i | −0.192736 | + | 0.301244i | ||||
\(877\) | −1.96264 | − | 3.39939i | −0.0662737 | − | 0.114789i | 0.830985 | − | 0.556295i | \(-0.187778\pi\) |
−0.897258 | + | 0.441506i | \(0.854444\pi\) | |||||||
\(878\) | −57.7965 | −1.95054 | ||||||||
\(879\) | −26.0672 | − | 1.18880i | −0.879225 | − | 0.0400971i | ||||
\(880\) | 50.6696 | 1.70807 | ||||||||
\(881\) | −27.1986 | −0.916345 | −0.458173 | − | 0.888863i | \(-0.651496\pi\) | ||||
−0.458173 | + | 0.888863i | \(0.651496\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8.21341 | 0.276403 | 0.138202 | − | 0.990404i | \(-0.455868\pi\) | ||||
0.138202 | + | 0.990404i | \(0.455868\pi\) | |||||||
\(884\) | −3.83482 | −0.128979 | ||||||||
\(885\) | −6.60126 | + | 10.3177i | −0.221899 | + | 0.346824i | ||||
\(886\) | 33.0148 | 1.10915 | ||||||||
\(887\) | −3.24057 | − | 5.61283i | −0.108808 | − | 0.188460i | 0.806480 | − | 0.591262i | \(-0.201370\pi\) |
−0.915287 | + | 0.402801i | \(0.868037\pi\) | |||||||
\(888\) | −15.5723 | − | 0.710174i | −0.522571 | − | 0.0238319i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −91.6169 | −3.07101 | ||||||||
\(891\) | 39.9581 | + | 7.36588i | 1.33865 | + | 0.246766i | ||||
\(892\) | 27.0093 | + | 46.7815i | 0.904339 | + | 1.56636i | ||||
\(893\) | −24.6534 | + | 42.7009i | −0.824995 | + | 1.42893i | ||||
\(894\) | −31.1072 | + | 48.6201i | −1.04038 | + | 1.62610i | ||||
\(895\) | 14.7178 | − | 25.4920i | 0.491962 | − | 0.852103i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.217799 | − | 0.420378i | −0.00727211 | − | 0.0140360i | ||||
\(898\) | 22.5438 | 0.752295 | ||||||||
\(899\) | 2.86333 | + | 4.95943i | 0.0954973 | + | 0.165406i | ||||
\(900\) | −8.80106 | − | 19.0668i | −0.293369 | − | 0.635559i | ||||
\(901\) | 2.96703 | − | 5.13904i | 0.0988461 | − | 0.171206i | ||||
\(902\) | 35.5818 | + | 61.6295i | 1.18474 | + | 2.05204i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 26.2527 | − | 45.4710i | 0.873152 | − | 1.51234i | ||||
\(905\) | 28.3853 | + | 49.1648i | 0.943560 | + | 1.63429i | ||||
\(906\) | −42.2673 | − | 1.92760i | −1.40424 | − | 0.0640403i | ||||
\(907\) | −5.06440 | + | 8.77180i | −0.168161 | + | 0.291263i | −0.937773 | − | 0.347248i | \(-0.887116\pi\) |
0.769613 | + | 0.638511i | \(0.220449\pi\) | |||||||
\(908\) | 2.80039 | − | 4.85041i | 0.0929341 | − | 0.160967i | ||||
\(909\) | −4.62655 | − | 10.0230i | −0.153453 | − | 0.332443i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −22.9612 | − | 39.7699i | −0.760738 | − | 1.31764i | −0.942471 | − | 0.334289i | \(-0.891504\pi\) |
0.181733 | − | 0.983348i | \(-0.441829\pi\) | |||||||
\(912\) | 30.3551 | + | 1.38435i | 1.00516 | + | 0.0458403i | ||||
\(913\) | 4.27042 | 0.141330 | ||||||||
\(914\) | −21.6946 | −0.717592 | ||||||||
\(915\) | −5.50379 | + | 8.60235i | −0.181950 | + | 0.284385i | ||||
\(916\) | −36.4449 | − | 63.1245i | −1.20417 | − | 2.08569i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 4.56294 | + | 11.1999i | 0.150599 | + | 0.369650i | ||||
\(919\) | 2.46216 | − | 4.26459i | 0.0812192 | − | 0.140676i | −0.822555 | − | 0.568686i | \(-0.807452\pi\) |
0.903774 | + | 0.428010i | \(0.140785\pi\) | |||||||
\(920\) | −1.79153 | + | 3.10303i | −0.0590651 | + | 0.102304i | ||||
\(921\) | −21.7288 | − | 41.9391i | −0.715988 | − | 1.38194i | ||||
\(922\) | 6.96216 | + | 12.0588i | 0.229287 | + | 0.397136i | ||||
\(923\) | 1.63667 | − | 2.83480i | 0.0538718 | − | 0.0933086i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.53736 | − | 2.66278i | −0.0505481 | − | 0.0875518i | ||||
\(926\) | 19.3478 | − | 33.5113i | 0.635807 | − | 1.10125i | ||||
\(927\) | 29.0588 | + | 2.65598i | 0.954417 | + | 0.0872339i | ||||
\(928\) | 0.663715 | + | 1.14959i | 0.0217875 | + | 0.0377371i | ||||
\(929\) | −0.00758649 | −0.000248905 | −0.000124452 | − | 1.00000i | \(-0.500040\pi\) | ||||
−0.000124452 | 1.00000i | \(0.500040\pi\) | ||||||||
\(930\) | −13.8643 | + | 21.6697i | −0.454628 | + | 0.710577i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 38.4779 | − | 66.6457i | 1.26039 | − | 2.18305i | ||||
\(933\) | −12.7345 | − | 24.5791i | −0.416910 | − | 0.804684i | ||||
\(934\) | 27.0620 | − | 46.8727i | 0.885494 | − | 1.53372i | ||||
\(935\) | −5.53784 | − | 9.59182i | −0.181107 | − | 0.313686i | ||||
\(936\) | −6.35447 | − | 13.7664i | −0.207702 | − | 0.449970i | ||||
\(937\) | −21.1623 | −0.691341 | −0.345670 | − | 0.938356i | \(-0.612348\pi\) | ||||
−0.345670 | + | 0.938356i | \(0.612348\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 9.24105 | + | 17.8363i | 0.301570 | + | 0.582066i | ||||
\(940\) | −63.9405 | − | 110.748i | −2.08551 | − | 3.61221i | ||||
\(941\) | −4.55816 | −0.148592 | −0.0742959 | − | 0.997236i | \(-0.523671\pi\) | ||||
−0.0742959 | + | 0.997236i | \(0.523671\pi\) | |||||||
\(942\) | −11.8691 | − | 22.9087i | −0.386715 | − | 0.746405i | ||||
\(943\) | −1.75117 | −0.0570260 | ||||||||
\(944\) | 11.7994 | 0.384038 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 115.920 | 3.76890 | ||||||||
\(947\) | 13.7352 | 0.446334 | 0.223167 | − | 0.974780i | \(-0.428360\pi\) | ||||
0.223167 | + | 0.974780i | \(0.428360\pi\) | |||||||
\(948\) | −47.5136 | − | 91.7068i | −1.54317 | − | 2.97850i | ||||
\(949\) | −1.50739 | −0.0489320 | ||||||||
\(950\) | 8.61177 | + | 14.9160i | 0.279403 | + | 0.483940i | ||||
\(951\) | 1.60769 | + | 3.10303i | 0.0521329 | + | 0.100623i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 8.80699 | 0.285286 | 0.142643 | − | 0.989774i | \(-0.454440\pi\) | ||||
0.142643 | + | 0.989774i | \(0.454440\pi\) | |||||||
\(954\) | 46.1146 | + | 4.21488i | 1.49301 | + | 0.136462i | ||||
\(955\) | 0.910019 | + | 1.57620i | 0.0294475 | + | 0.0510046i | ||||
\(956\) | −9.91595 | + | 17.1749i | −0.320705 | + | 0.555477i | ||||
\(957\) | −8.85087 | − | 17.0832i | −0.286108 | − | 0.552222i | ||||
\(958\) | −30.7257 | + | 53.2184i | −0.992701 | + | 1.71941i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 17.7398 | − | 27.7270i | 0.572549 | − | 0.894886i | ||||
\(961\) | −25.5831 | −0.825260 | ||||||||
\(962\) | −2.19076 | − | 3.79450i | −0.0706329 | − | 0.122340i | ||||
\(963\) | 1.72792 | + | 3.74340i | 0.0556815 | + | 0.120629i | ||||
\(964\) | −53.0261 | + | 91.8438i | −1.70785 | + | 2.95809i | ||||
\(965\) | −15.7489 | − | 27.2779i | −0.506976 | − | 0.878108i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −19.1642 | + | 33.1934i | −0.616279 | + | 1.06743i | 0.373880 | + | 0.927477i | \(0.378027\pi\) |
−0.990159 | + | 0.139949i | \(0.955306\pi\) | |||||||
\(968\) | 23.7075 | + | 41.0626i | 0.761987 | + | 1.31980i | ||||
\(969\) | −3.05555 | − | 5.89756i | −0.0981583 | − | 0.189457i | ||||
\(970\) | 36.6608 | − | 63.4984i | 1.17711 | − | 2.03881i | ||||
\(971\) | −15.5093 | + | 26.8630i | −0.497718 | + | 0.862073i | −0.999997 | − | 0.00263281i | \(-0.999162\pi\) |
0.502278 | + | 0.864706i | \(0.332495\pi\) | |||||||
\(972\) | −43.1452 | + | 46.1773i | −1.38388 | + | 1.48114i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −21.6498 | − | 37.4986i | −0.693704 | − | 1.20153i | ||||
\(975\) | 1.61177 | − | 2.51917i | 0.0516179 | − | 0.0806779i | ||||
\(976\) | 9.83775 | 0.314899 | ||||||||
\(977\) | −52.7424 | −1.68738 | −0.843689 | − | 0.536832i | \(-0.819621\pi\) | ||||
−0.843689 | + | 0.536832i | \(0.819621\pi\) | |||||||
\(978\) | −75.8527 | − | 3.45927i | −2.42550 | − | 0.110615i | ||||
\(979\) | −32.4071 | − | 56.1307i | −1.03574 | − | 1.79395i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −10.1553 | − | 0.928200i | −0.324235 | − | 0.0296351i | ||||
\(982\) | 16.9715 | − | 29.3955i | 0.541582 | − | 0.938048i | ||||
\(983\) | −9.15146 | + | 15.8508i | −0.291886 | + | 0.505562i | −0.974256 | − | 0.225446i | \(-0.927616\pi\) |
0.682370 | + | 0.731007i | \(0.260950\pi\) | |||||||
\(984\) | −56.0231 | − | 2.55494i | −1.78595 | − | 0.0814484i | ||||
\(985\) | 21.2812 | + | 36.8601i | 0.678076 | + | 1.17446i | ||||
\(986\) | 2.86333 | − | 4.95943i | 0.0911869 | − | 0.157940i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.21780 | + | 14.2336i | 0.261443 | + | 0.452833i | ||||
\(989\) | −1.42627 | + | 2.47036i | −0.0453526 | + | 0.0785530i | ||||
\(990\) | 49.8484 | − | 70.6062i | 1.58429 | − | 2.24401i | ||||
\(991\) | 6.30039 | + | 10.9126i | 0.200138 | + | 0.346650i | 0.948573 | − | 0.316559i | \(-0.102527\pi\) |
−0.748434 | + | 0.663209i | \(0.769194\pi\) | |||||||
\(992\) | 1.25564 | 0.0398665 | ||||||||
\(993\) | 15.7039 | + | 30.3103i | 0.498348 | + | 0.961869i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 29.4449 | − | 51.0001i | 0.933467 | − | 1.61681i | ||||
\(996\) | −3.57966 | + | 5.59496i | −0.113426 | + | 0.177283i | ||||
\(997\) | 5.87120 | − | 10.1692i | 0.185943 | − | 0.322062i | −0.757951 | − | 0.652311i | \(-0.773799\pi\) |
0.943894 | + | 0.330249i | \(0.107133\pi\) | |||||||
\(998\) | 16.1010 | + | 27.8877i | 0.509667 | + | 0.882770i | ||||
\(999\) | −5.67549 | + | 7.30798i | −0.179565 | + | 0.231214i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))