Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(59,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bd (of order \(6\), degree \(2\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.20 | ||
Character | \(\chi\) | \(=\) | 360.59 |
Dual form | 360.2.bd.b.299.20 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.784848 | + | 1.17644i | −0.554971 | + | 0.831869i | ||||
\(3\) | −1.32971 | − | 1.10989i | −0.767711 | − | 0.640797i | ||||
\(4\) | −0.768027 | − | 1.84665i | −0.384014 | − | 0.923327i | ||||
\(5\) | 0.451766 | − | 2.18996i | 0.202036 | − | 0.979378i | ||||
\(6\) | 2.34935 | − | 0.693233i | 0.959117 | − | 0.283011i | ||||
\(7\) | −2.22153 | − | 3.84780i | −0.839659 | − | 1.45433i | −0.890180 | − | 0.455609i | \(-0.849422\pi\) |
0.0505211 | − | 0.998723i | \(-0.483912\pi\) | |||||||
\(8\) | 2.77527 | + | 0.545804i | 0.981204 | + | 0.192971i | ||||
\(9\) | 0.536278 | + | 2.95168i | 0.178759 | + | 0.983893i | ||||
\(10\) | 2.22179 | + | 2.25026i | 0.702591 | + | 0.711594i | ||||
\(11\) | −2.97913 | + | 1.72000i | −0.898242 | + | 0.518600i | −0.876629 | − | 0.481166i | \(-0.840213\pi\) |
−0.0216123 | + | 0.999766i | \(0.506880\pi\) | |||||||
\(12\) | −1.02833 | + | 3.30795i | −0.296854 | + | 0.954923i | ||||
\(13\) | −3.22299 | + | 5.58238i | −0.893896 | + | 1.54827i | −0.0587299 | + | 0.998274i | \(0.518705\pi\) |
−0.835166 | + | 0.549999i | \(0.814628\pi\) | |||||||
\(14\) | 6.27027 | + | 0.406441i | 1.67580 | + | 0.108626i | ||||
\(15\) | −3.03134 | + | 2.41060i | −0.782687 | + | 0.622415i | ||||
\(16\) | −2.82027 | + | 2.83656i | −0.705067 | + | 0.709141i | ||||
\(17\) | 2.90120 | 0.703645 | 0.351822 | − | 0.936067i | \(-0.385562\pi\) | ||||
0.351822 | + | 0.936067i | \(0.385562\pi\) | |||||||
\(18\) | −3.89337 | − | 1.68572i | −0.917677 | − | 0.397328i | ||||
\(19\) | −1.72505 | −0.395754 | −0.197877 | − | 0.980227i | \(-0.563405\pi\) | ||||
−0.197877 | + | 0.980227i | \(0.563405\pi\) | |||||||
\(20\) | −4.39106 | + | 0.847690i | −0.981871 | + | 0.189549i | ||||
\(21\) | −1.31665 | + | 7.58213i | −0.287316 | + | 1.65456i | ||||
\(22\) | 0.314684 | − | 4.85471i | 0.0670908 | − | 1.03503i | ||||
\(23\) | 4.32408 | + | 2.49651i | 0.901633 | + | 0.520558i | 0.877730 | − | 0.479156i | \(-0.159057\pi\) |
0.0239032 | + | 0.999714i | \(0.492391\pi\) | |||||||
\(24\) | −3.08452 | − | 3.80601i | −0.629626 | − | 0.776898i | ||||
\(25\) | −4.59181 | − | 1.97870i | −0.918363 | − | 0.395739i | ||||
\(26\) | −4.03778 | − | 8.17297i | −0.791874 | − | 1.60285i | ||||
\(27\) | 2.56295 | − | 4.52010i | 0.493240 | − | 0.869893i | ||||
\(28\) | −5.39936 | + | 7.05761i | −1.02038 | + | 1.33376i | ||||
\(29\) | −0.523887 | − | 0.907399i | −0.0972834 | − | 0.168500i | 0.813276 | − | 0.581878i | \(-0.197682\pi\) |
−0.910559 | + | 0.413378i | \(0.864349\pi\) | |||||||
\(30\) | −0.456795 | − | 5.45814i | −0.0833990 | − | 0.996516i | ||||
\(31\) | −1.88690 | − | 1.08940i | −0.338897 | − | 0.195662i | 0.320887 | − | 0.947117i | \(-0.396019\pi\) |
−0.659784 | + | 0.751455i | \(0.729352\pi\) | |||||||
\(32\) | −1.12357 | − | 5.54415i | −0.198621 | − | 0.980076i | ||||
\(33\) | 5.87041 | + | 1.01940i | 1.02191 | + | 0.177455i | ||||
\(34\) | −2.27700 | + | 3.41309i | −0.390503 | + | 0.585341i | ||||
\(35\) | −9.43013 | + | 3.12674i | −1.59398 | + | 0.528516i | ||||
\(36\) | 5.03886 | − | 3.25729i | 0.839809 | − | 0.542882i | ||||
\(37\) | −3.02322 | −0.497015 | −0.248507 | − | 0.968630i | \(-0.579940\pi\) | ||||
−0.248507 | + | 0.968630i | \(0.579940\pi\) | |||||||
\(38\) | 1.35390 | − | 2.02942i | 0.219632 | − | 0.329215i | ||||
\(39\) | 10.4815 | − | 3.84579i | 1.67838 | − | 0.615820i | ||||
\(40\) | 2.44906 | − | 5.83113i | 0.387230 | − | 0.921983i | ||||
\(41\) | −1.94134 | − | 1.12084i | −0.303187 | − | 0.175045i | 0.340687 | − | 0.940177i | \(-0.389340\pi\) |
−0.643874 | + | 0.765132i | \(0.722674\pi\) | |||||||
\(42\) | −7.88656 | − | 7.49978i | −1.21692 | − | 1.15724i | ||||
\(43\) | −2.07856 | + | 1.20006i | −0.316978 | + | 0.183007i | −0.650045 | − | 0.759896i | \(-0.725250\pi\) |
0.333067 | + | 0.942903i | \(0.391916\pi\) | |||||||
\(44\) | 5.46430 | + | 4.18042i | 0.823775 | + | 0.630222i | ||||
\(45\) | 6.70632 | + | 0.159044i | 0.999719 | + | 0.0237089i | ||||
\(46\) | −6.33074 | + | 3.12764i | −0.933417 | + | 0.461146i | ||||
\(47\) | −0.453489 | + | 0.261822i | −0.0661482 | + | 0.0381907i | −0.532709 | − | 0.846298i | \(-0.678826\pi\) |
0.466561 | + | 0.884489i | \(0.345493\pi\) | |||||||
\(48\) | 6.89843 | − | 0.641623i | 0.995702 | − | 0.0926103i | ||||
\(49\) | −6.37038 | + | 11.0338i | −0.910054 | + | 1.57626i | ||||
\(50\) | 5.93170 | − | 3.84902i | 0.838868 | − | 0.544334i | ||||
\(51\) | −3.85777 | − | 3.22002i | −0.540196 | − | 0.450893i | ||||
\(52\) | 12.7841 | + | 1.66433i | 1.77283 | + | 0.230800i | ||||
\(53\) | − | 1.38655i | − | 0.190458i | −0.995455 | − | 0.0952288i | \(-0.969642\pi\) | ||
0.995455 | − | 0.0952288i | \(-0.0303583\pi\) | |||||||
\(54\) | 3.30610 | + | 6.56275i | 0.449904 | + | 0.893077i | ||||
\(55\) | 2.42086 | + | 7.30120i | 0.326428 | + | 0.984494i | ||||
\(56\) | −4.06519 | − | 11.8912i | −0.543233 | − | 1.58903i | ||||
\(57\) | 2.29382 | + | 1.91462i | 0.303824 | + | 0.253598i | ||||
\(58\) | 1.47867 | + | 0.0958480i | 0.194159 | + | 0.0125855i | ||||
\(59\) | −5.53954 | − | 3.19826i | −0.721187 | − | 0.416377i | 0.0940025 | − | 0.995572i | \(-0.470034\pi\) |
−0.815189 | + | 0.579195i | \(0.803367\pi\) | |||||||
\(60\) | 6.77970 | + | 3.74642i | 0.875256 | + | 0.483661i | ||||
\(61\) | −3.04912 | + | 1.76041i | −0.390400 | + | 0.225398i | −0.682333 | − | 0.731041i | \(-0.739035\pi\) |
0.291933 | + | 0.956439i | \(0.405701\pi\) | |||||||
\(62\) | 2.76254 | − | 1.36481i | 0.350843 | − | 0.173331i | ||||
\(63\) | 10.1661 | − | 8.62073i | 1.28081 | − | 1.08611i | ||||
\(64\) | 7.40420 | + | 3.02950i | 0.925524 | + | 0.378688i | ||||
\(65\) | 10.7691 | + | 9.58013i | 1.33575 | + | 1.18827i | ||||
\(66\) | −5.80665 | + | 6.10611i | −0.714749 | + | 0.751610i | ||||
\(67\) | −12.5787 | − | 7.26229i | −1.53673 | − | 0.887230i | −0.999027 | − | 0.0440942i | \(-0.985960\pi\) |
−0.537700 | − | 0.843136i | \(-0.680707\pi\) | |||||||
\(68\) | −2.22820 | − | 5.35752i | −0.270209 | − | 0.649695i | ||||
\(69\) | −2.97893 | − | 8.11890i | −0.358621 | − | 0.977401i | ||||
\(70\) | 3.72278 | − | 13.5480i | 0.444958 | − | 1.61930i | ||||
\(71\) | 0.671509 | 0.0796934 | 0.0398467 | − | 0.999206i | \(-0.487313\pi\) | ||||
0.0398467 | + | 0.999206i | \(0.487313\pi\) | |||||||
\(72\) | −0.122726 | + | 8.48439i | −0.0144634 | + | 0.999895i | ||||
\(73\) | − | 11.5525i | − | 1.35212i | −0.736848 | − | 0.676058i | \(-0.763687\pi\) | ||
0.736848 | − | 0.676058i | \(-0.236313\pi\) | |||||||
\(74\) | 2.37277 | − | 3.55664i | 0.275829 | − | 0.413451i | ||||
\(75\) | 3.90966 | + | 7.72752i | 0.451449 | + | 0.892297i | ||||
\(76\) | 1.32489 | + | 3.18557i | 0.151975 | + | 0.365410i | ||||
\(77\) | 13.2364 | + | 7.64207i | 1.50843 | + | 0.870894i | ||||
\(78\) | −3.70202 | + | 15.3492i | −0.419171 | + | 1.73796i | ||||
\(79\) | −9.41493 | + | 5.43572i | −1.05926 | + | 0.611566i | −0.925228 | − | 0.379411i | \(-0.876127\pi\) |
−0.134035 | + | 0.990977i | \(0.542793\pi\) | |||||||
\(80\) | 4.93785 | + | 7.45773i | 0.552068 | + | 0.833799i | ||||
\(81\) | −8.42481 | + | 3.16584i | −0.936090 | + | 0.351760i | ||||
\(82\) | 2.84226 | − | 1.40419i | 0.313875 | − | 0.155067i | ||||
\(83\) | 0.978245 | + | 1.69437i | 0.107376 | + | 0.185981i | 0.914707 | − | 0.404119i | \(-0.132422\pi\) |
−0.807330 | + | 0.590100i | \(0.799088\pi\) | |||||||
\(84\) | 15.0128 | − | 3.39189i | 1.63803 | − | 0.370086i | ||||
\(85\) | 1.31066 | − | 6.35350i | 0.142162 | − | 0.689134i | ||||
\(86\) | 0.219557 | − | 3.38717i | 0.0236755 | − | 0.365248i | ||||
\(87\) | −0.310496 | + | 1.78804i | −0.0332886 | + | 0.191698i | ||||
\(88\) | −9.20666 | + | 3.14744i | −0.981433 | + | 0.335518i | ||||
\(89\) | − | 2.43279i | − | 0.257876i | −0.991653 | − | 0.128938i | \(-0.958843\pi\) | ||
0.991653 | − | 0.128938i | \(-0.0411568\pi\) | |||||||
\(90\) | −5.45055 | + | 7.76476i | −0.574538 | + | 0.818478i | ||||
\(91\) | 28.6398 | 3.00227 | ||||||||
\(92\) | 1.28918 | − | 9.90247i | 0.134406 | − | 1.03240i | ||||
\(93\) | 1.29992 | + | 3.54284i | 0.134795 | + | 0.367376i | ||||
\(94\) | 0.0479018 | − | 0.738994i | 0.00494069 | − | 0.0762214i | ||||
\(95\) | −0.779319 | + | 3.77779i | −0.0799565 | + | 0.387593i | ||||
\(96\) | −4.65939 | + | 8.61917i | −0.475547 | + | 0.879691i | ||||
\(97\) | 9.65294 | − | 5.57313i | 0.980107 | − | 0.565865i | 0.0778047 | − | 0.996969i | \(-0.475209\pi\) |
0.902303 | + | 0.431103i | \(0.141876\pi\) | |||||||
\(98\) | −7.98086 | − | 16.1542i | −0.806189 | − | 1.63183i | ||||
\(99\) | −6.67453 | − | 7.87104i | −0.670816 | − | 0.791069i | ||||
\(100\) | −0.127329 | + | 9.99919i | −0.0127329 | + | 0.999919i | ||||
\(101\) | 4.16927 | + | 7.22139i | 0.414858 | + | 0.718556i | 0.995414 | − | 0.0956652i | \(-0.0304978\pi\) |
−0.580555 | + | 0.814221i | \(0.697164\pi\) | |||||||
\(102\) | 6.81593 | − | 2.01121i | 0.674877 | − | 0.199139i | ||||
\(103\) | −2.60688 | + | 4.51525i | −0.256863 | + | 0.444900i | −0.965400 | − | 0.260774i | \(-0.916022\pi\) |
0.708537 | + | 0.705674i | \(0.249356\pi\) | |||||||
\(104\) | −11.9915 | + | 13.7335i | −1.17587 | + | 1.34668i | ||||
\(105\) | 16.0097 | + | 6.30875i | 1.56239 | + | 0.615671i | ||||
\(106\) | 1.63120 | + | 1.08823i | 0.158436 | + | 0.105699i | ||||
\(107\) | −7.15717 | −0.691909 | −0.345955 | − | 0.938251i | \(-0.612445\pi\) | ||||
−0.345955 | + | 0.938251i | \(0.612445\pi\) | |||||||
\(108\) | −10.3155 | − | 1.26132i | −0.992607 | − | 0.121371i | ||||
\(109\) | − | 10.9196i | − | 1.04591i | −0.852360 | − | 0.522956i | \(-0.824829\pi\) | ||
0.852360 | − | 0.522956i | \(-0.175171\pi\) | |||||||
\(110\) | −10.4894 | − | 2.88234i | −1.00013 | − | 0.274820i | ||||
\(111\) | 4.02002 | + | 3.35545i | 0.381563 | + | 0.318485i | ||||
\(112\) | 17.1798 | + | 4.55032i | 1.62334 | + | 0.429965i | ||||
\(113\) | −6.71874 | + | 11.6372i | −0.632046 | + | 1.09473i | 0.355087 | + | 0.934833i | \(0.384451\pi\) |
−0.987133 | + | 0.159902i | \(0.948882\pi\) | |||||||
\(114\) | −4.05274 | + | 1.19586i | −0.379574 | + | 0.112003i | ||||
\(115\) | 7.42072 | − | 8.34170i | 0.691985 | − | 0.777868i | ||||
\(116\) | −1.27329 | + | 1.66435i | −0.118222 | + | 0.154531i | ||||
\(117\) | −18.2058 | − | 6.51952i | −1.68313 | − | 0.602729i | ||||
\(118\) | 8.11026 | − | 4.00680i | 0.746610 | − | 0.368856i | ||||
\(119\) | −6.44510 | − | 11.1632i | −0.590822 | − | 1.02333i | ||||
\(120\) | −9.72848 | + | 5.03555i | −0.888084 | + | 0.459680i | ||||
\(121\) | 0.416811 | − | 0.721937i | 0.0378919 | − | 0.0656307i | ||||
\(122\) | 0.322077 | − | 4.96877i | 0.0291595 | − | 0.449851i | ||||
\(123\) | 1.33742 | + | 3.64507i | 0.120592 | + | 0.328665i | ||||
\(124\) | −0.562558 | + | 4.32114i | −0.0505192 | + | 0.388050i | ||||
\(125\) | −6.40768 | + | 9.16196i | −0.573121 | + | 0.819471i | ||||
\(126\) | 2.16292 | + | 18.7258i | 0.192689 | + | 1.66823i | ||||
\(127\) | −8.48173 | −0.752632 | −0.376316 | − | 0.926491i | \(-0.622809\pi\) | ||||
−0.376316 | + | 0.926491i | \(0.622809\pi\) | |||||||
\(128\) | −9.37520 | + | 6.33290i | −0.828658 | + | 0.559755i | ||||
\(129\) | 4.09583 | + | 0.711246i | 0.360618 | + | 0.0626217i | ||||
\(130\) | −19.7226 | + | 5.15029i | −1.72978 | + | 0.451711i | ||||
\(131\) | 3.96031 | + | 2.28648i | 0.346014 | + | 0.199771i | 0.662928 | − | 0.748683i | \(-0.269313\pi\) |
−0.316914 | + | 0.948454i | \(0.602647\pi\) | |||||||
\(132\) | −2.62615 | − | 11.6235i | −0.228577 | − | 1.01170i | ||||
\(133\) | 3.83225 | + | 6.63765i | 0.332298 | + | 0.575557i | ||||
\(134\) | 18.4160 | − | 9.09826i | 1.59090 | − | 0.785970i | ||||
\(135\) | −8.74096 | − | 7.65477i | −0.752302 | − | 0.658818i | ||||
\(136\) | 8.05160 | + | 1.58349i | 0.690419 | + | 0.135783i | ||||
\(137\) | −8.47943 | − | 14.6868i | −0.724446 | − | 1.25478i | −0.959202 | − | 0.282723i | \(-0.908762\pi\) |
0.234755 | − | 0.972054i | \(-0.424571\pi\) | |||||||
\(138\) | 11.8894 | + | 2.86757i | 1.01209 | + | 0.244103i | ||||
\(139\) | 6.53326 | − | 11.3159i | 0.554144 | − | 0.959806i | −0.443825 | − | 0.896113i | \(-0.646379\pi\) |
0.997970 | − | 0.0636926i | \(-0.0202877\pi\) | |||||||
\(140\) | 13.0166 | + | 15.0128i | 1.10010 | + | 1.26881i | ||||
\(141\) | 0.893606 | + | 0.155176i | 0.0752552 | + | 0.0130682i | ||||
\(142\) | −0.527032 | + | 0.789991i | −0.0442276 | + | 0.0662945i | ||||
\(143\) | − | 22.1742i | − | 1.85430i | ||||||
\(144\) | −9.88507 | − | 6.80334i | −0.823756 | − | 0.566945i | ||||
\(145\) | −2.22384 | + | 0.737358i | −0.184680 | + | 0.0612342i | ||||
\(146\) | 13.5908 | + | 9.06695i | 1.12478 | + | 0.750386i | ||||
\(147\) | 20.7171 | − | 7.60139i | 1.70872 | − | 0.626952i | ||||
\(148\) | 2.32192 | + | 5.58285i | 0.190860 | + | 0.458907i | ||||
\(149\) | 4.42309 | − | 7.66101i | 0.362353 | − | 0.627615i | −0.625994 | − | 0.779828i | \(-0.715307\pi\) |
0.988348 | + | 0.152213i | \(0.0486400\pi\) | |||||||
\(150\) | −12.1595 | − | 1.46544i | −0.992816 | − | 0.119653i | ||||
\(151\) | 11.2985 | − | 6.52318i | 0.919458 | − | 0.530849i | 0.0359957 | − | 0.999352i | \(-0.488540\pi\) |
0.883462 | + | 0.468503i | \(0.155206\pi\) | |||||||
\(152\) | −4.78747 | − | 0.941540i | −0.388315 | − | 0.0763690i | ||||
\(153\) | 1.55585 | + | 8.56342i | 0.125783 | + | 0.692311i | ||||
\(154\) | −19.3790 | + | 9.57404i | −1.56161 | + | 0.771498i | ||||
\(155\) | −3.23818 | + | 3.64007i | −0.260097 | + | 0.292377i | ||||
\(156\) | −15.1519 | − | 16.4020i | −1.21312 | − | 1.31321i | ||||
\(157\) | 3.00104 | − | 5.19795i | 0.239509 | − | 0.414842i | −0.721065 | − | 0.692868i | \(-0.756347\pi\) |
0.960573 | + | 0.278026i | \(0.0896802\pi\) | |||||||
\(158\) | 0.994493 | − | 15.3423i | 0.0791177 | − | 1.22057i | ||||
\(159\) | −1.53892 | + | 1.84372i | −0.122045 | + | 0.146216i | ||||
\(160\) | −12.6490 | − | 0.0440948i | −0.999994 | − | 0.00348600i | ||||
\(161\) | − | 22.1843i | − | 1.74836i | ||||||
\(162\) | 2.88777 | − | 12.3960i | 0.226885 | − | 0.973922i | ||||
\(163\) | 1.53671i | 0.120365i | 0.998187 | + | 0.0601823i | \(0.0191682\pi\) | ||||
−0.998187 | + | 0.0601823i | \(0.980832\pi\) | |||||||
\(164\) | −0.578791 | + | 4.44582i | −0.0451960 | + | 0.347160i | ||||
\(165\) | 4.88450 | − | 12.3954i | 0.380258 | − | 0.964981i | ||||
\(166\) | −2.76110 | − | 0.178975i | −0.214303 | − | 0.0138912i | ||||
\(167\) | 9.36196 | + | 5.40513i | 0.724450 | + | 0.418262i | 0.816388 | − | 0.577503i | \(-0.195973\pi\) |
−0.0919381 | + | 0.995765i | \(0.529306\pi\) | |||||||
\(168\) | −7.79241 | + | 20.3238i | −0.601197 | + | 1.56801i | ||||
\(169\) | −14.2753 | − | 24.7255i | −1.09810 | − | 1.90196i | ||||
\(170\) | 6.44585 | + | 6.52845i | 0.494374 | + | 0.500710i | ||||
\(171\) | −0.925106 | − | 5.09180i | −0.0707446 | − | 0.389379i | ||||
\(172\) | 3.81249 | + | 2.91671i | 0.290699 | + | 0.222397i | ||||
\(173\) | −19.2525 | + | 11.1154i | −1.46374 | + | 0.845091i | −0.999182 | − | 0.0404512i | \(-0.987120\pi\) |
−0.464559 | + | 0.885542i | \(0.653787\pi\) | |||||||
\(174\) | −1.85983 | − | 1.76862i | −0.140994 | − | 0.134079i | ||||
\(175\) | 2.58722 | + | 22.0641i | 0.195576 | + | 1.66789i | ||||
\(176\) | 3.52305 | − | 13.3014i | 0.265560 | − | 1.00263i | ||||
\(177\) | 3.81628 | + | 10.4011i | 0.286850 | + | 0.781792i | ||||
\(178\) | 2.86204 | + | 1.90937i | 0.214519 | + | 0.143114i | ||||
\(179\) | 19.6132i | 1.46596i | 0.680252 | + | 0.732979i | \(0.261870\pi\) | ||||
−0.680252 | + | 0.732979i | \(0.738130\pi\) | |||||||
\(180\) | −4.85694 | − | 12.5064i | −0.362015 | − | 0.932172i | ||||
\(181\) | − | 14.2901i | − | 1.06217i | −0.847318 | − | 0.531086i | \(-0.821784\pi\) | ||
0.847318 | − | 0.531086i | \(-0.178216\pi\) | |||||||
\(182\) | −22.4779 | + | 33.6931i | −1.66617 | + | 2.49750i | ||||
\(183\) | 6.00833 | + | 1.04335i | 0.444148 | + | 0.0771270i | ||||
\(184\) | 10.6379 | + | 9.28857i | 0.784234 | + | 0.684763i | ||||
\(185\) | −1.36579 | + | 6.62072i | −0.100415 | + | 0.486765i | ||||
\(186\) | −5.18818 | − | 1.25132i | −0.380416 | − | 0.0917512i | ||||
\(187\) | −8.64306 | + | 4.99007i | −0.632043 | + | 0.364910i | ||||
\(188\) | 0.831788 | + | 0.636352i | 0.0606643 | + | 0.0464107i | ||||
\(189\) | −23.0861 | + | 0.179807i | −1.67927 | + | 0.0130791i | ||||
\(190\) | −3.83269 | − | 3.88181i | −0.278053 | − | 0.281616i | ||||
\(191\) | −5.73266 | − | 9.92925i | −0.414800 | − | 0.718455i | 0.580607 | − | 0.814184i | \(-0.302815\pi\) |
−0.995407 | + | 0.0957285i | \(0.969482\pi\) | |||||||
\(192\) | −6.48304 | − | 12.2462i | −0.467873 | − | 0.883796i | ||||
\(193\) | −7.67383 | − | 4.43049i | −0.552374 | − | 0.318913i | 0.197705 | − | 0.980262i | \(-0.436651\pi\) |
−0.750079 | + | 0.661348i | \(0.769985\pi\) | |||||||
\(194\) | −1.01963 | + | 15.7302i | −0.0732054 | + | 1.12936i | ||||
\(195\) | −3.68694 | − | 24.6914i | −0.264027 | − | 1.76819i | ||||
\(196\) | 25.2683 | + | 3.28962i | 1.80488 | + | 0.234973i | ||||
\(197\) | − | 11.7577i | − | 0.837703i | −0.908055 | − | 0.418851i | \(-0.862433\pi\) | ||
0.908055 | − | 0.418851i | \(-0.137567\pi\) | |||||||
\(198\) | 14.4983 | − | 1.67463i | 1.03035 | − | 0.119011i | ||||
\(199\) | − | 24.6295i | − | 1.74594i | −0.487772 | − | 0.872971i | \(-0.662190\pi\) | ||
0.487772 | − | 0.872971i | \(-0.337810\pi\) | |||||||
\(200\) | −11.6635 | − | 7.99764i | −0.824736 | − | 0.565518i | ||||
\(201\) | 8.66565 | + | 23.6177i | 0.611228 | + | 1.66587i | ||||
\(202\) | −11.7678 | − | 0.762791i | −0.827979 | − | 0.0536698i | ||||
\(203\) | −2.32766 | + | 4.03163i | −0.163370 | + | 0.282965i | ||||
\(204\) | −2.98340 | + | 9.59703i | −0.208880 | + | 0.671927i | ||||
\(205\) | −3.33161 | + | 3.74510i | −0.232690 | + | 0.261569i | ||||
\(206\) | −3.26592 | − | 6.61062i | −0.227547 | − | 0.460584i | ||||
\(207\) | −5.04998 | + | 14.1021i | −0.350998 | + | 0.980165i | ||||
\(208\) | −6.74508 | − | 24.8860i | −0.467687 | − | 1.72553i | ||||
\(209\) | 5.13915 | − | 2.96709i | 0.355482 | − | 0.205238i | ||||
\(210\) | −19.9871 | + | 13.8831i | −1.37924 | + | 0.958024i | ||||
\(211\) | −9.12269 | + | 15.8010i | −0.628032 | + | 1.08778i | 0.359914 | + | 0.932985i | \(0.382806\pi\) |
−0.987946 | + | 0.154798i | \(0.950527\pi\) | |||||||
\(212\) | −2.56048 | + | 1.06491i | −0.175855 | + | 0.0731383i | ||||
\(213\) | −0.892915 | − | 0.745303i | −0.0611815 | − | 0.0510673i | ||||
\(214\) | 5.61729 | − | 8.41999i | 0.383990 | − | 0.575578i | ||||
\(215\) | 1.68905 | + | 5.09411i | 0.115192 | + | 0.347415i | ||||
\(216\) | 9.57995 | − | 11.1456i | 0.651833 | − | 0.758362i | ||||
\(217\) | 9.68054i | 0.657158i | ||||||||
\(218\) | 12.8463 | + | 8.57026i | 0.870062 | + | 0.580451i | ||||
\(219\) | −12.8220 | + | 15.3615i | −0.866432 | + | 1.03803i | ||||
\(220\) | 11.6235 | − | 10.0780i | 0.783657 | − | 0.679459i | ||||
\(221\) | −9.35053 | + | 16.1956i | −0.628985 | + | 1.08943i | ||||
\(222\) | −7.10259 | + | 2.09580i | −0.476695 | + | 0.140661i | ||||
\(223\) | 0.488331 | + | 0.845814i | 0.0327011 | + | 0.0566399i | 0.881913 | − | 0.471413i | \(-0.156256\pi\) |
−0.849212 | + | 0.528053i | \(0.822922\pi\) | |||||||
\(224\) | −18.8367 | + | 16.6398i | −1.25858 | + | 1.11179i | ||||
\(225\) | 3.37799 | − | 14.6147i | 0.225199 | − | 0.974313i | ||||
\(226\) | −8.41729 | − | 17.0376i | −0.559909 | − | 1.13333i | ||||
\(227\) | 6.74202 | + | 11.6775i | 0.447484 | + | 0.775064i | 0.998222 | − | 0.0596138i | \(-0.0189869\pi\) |
−0.550738 | + | 0.834678i | \(0.685654\pi\) | |||||||
\(228\) | 1.77392 | − | 5.70638i | 0.117481 | − | 0.377914i | ||||
\(229\) | 8.09471 | + | 4.67348i | 0.534913 | + | 0.308832i | 0.743015 | − | 0.669275i | \(-0.233395\pi\) |
−0.208102 | + | 0.978107i | \(0.566728\pi\) | |||||||
\(230\) | 3.98939 | + | 15.2770i | 0.263053 | + | 1.00734i | ||||
\(231\) | −9.11881 | − | 24.8528i | −0.599974 | − | 1.63519i | ||||
\(232\) | −0.958664 | − | 2.80421i | −0.0629394 | − | 0.184106i | ||||
\(233\) | 17.3072 | 1.13383 | 0.566916 | − | 0.823776i | \(-0.308136\pi\) | ||||
0.566916 | + | 0.823776i | \(0.308136\pi\) | |||||||
\(234\) | 21.9586 | − | 16.3012i | 1.43548 | − | 1.06564i | ||||
\(235\) | 0.368508 | + | 1.11140i | 0.0240388 | + | 0.0725000i | ||||
\(236\) | −1.65155 | + | 12.6860i | −0.107507 | + | 0.825786i | ||||
\(237\) | 18.5522 | + | 3.22162i | 1.20510 | + | 0.209267i | ||||
\(238\) | 18.1913 | + | 1.17917i | 1.17917 | + | 0.0764340i | ||||
\(239\) | −11.2185 | + | 19.4311i | −0.725666 | + | 1.25689i | 0.233033 | + | 0.972469i | \(0.425135\pi\) |
−0.958699 | + | 0.284422i | \(0.908198\pi\) | |||||||
\(240\) | 1.71135 | − | 15.3971i | 0.110467 | − | 0.993880i | ||||
\(241\) | 6.28764 | + | 10.8905i | 0.405023 | + | 0.701520i | 0.994324 | − | 0.106393i | \(-0.0339303\pi\) |
−0.589301 | + | 0.807913i | \(0.700597\pi\) | |||||||
\(242\) | 0.522184 | + | 1.05696i | 0.0335672 | + | 0.0679442i | ||||
\(243\) | 14.7163 | + | 5.14098i | 0.944053 | + | 0.329794i | ||||
\(244\) | 5.59268 | + | 4.27863i | 0.358035 | + | 0.273911i | ||||
\(245\) | 21.2857 | + | 18.9356i | 1.35989 | + | 1.20975i | ||||
\(246\) | −5.33789 | − | 1.28743i | −0.340331 | − | 0.0820833i | ||||
\(247\) | 5.55981 | − | 9.62988i | 0.353763 | − | 0.612735i | ||||
\(248\) | −4.64204 | − | 4.05325i | −0.294770 | − | 0.257382i | ||||
\(249\) | 0.579782 | − | 3.33877i | 0.0367422 | − | 0.211586i | ||||
\(250\) | −5.74945 | − | 14.7290i | −0.363627 | − | 0.931544i | ||||
\(251\) | − | 17.4293i | − | 1.10013i | −0.835122 | − | 0.550064i | \(-0.814603\pi\) | ||
0.835122 | − | 0.550064i | \(-0.185397\pi\) | |||||||
\(252\) | −23.7274 | − | 12.1523i | −1.49468 | − | 0.765526i | ||||
\(253\) | −17.1760 | −1.07985 | ||||||||
\(254\) | 6.65687 | − | 9.97826i | 0.417689 | − | 0.626092i | ||||
\(255\) | −8.79452 | + | 6.99365i | −0.550734 | + | 0.437959i | ||||
\(256\) | −0.0921787 | − | 15.9997i | −0.00576117 | − | 0.999983i | ||||
\(257\) | 0.662264 | − | 1.14708i | 0.0413109 | − | 0.0715526i | −0.844631 | − | 0.535349i | \(-0.820180\pi\) |
0.885942 | + | 0.463797i | \(0.153513\pi\) | |||||||
\(258\) | −4.05134 | + | 4.26028i | −0.252226 | + | 0.265234i | ||||
\(259\) | 6.71617 | + | 11.6328i | 0.417323 | + | 0.722824i | ||||
\(260\) | 9.42021 | − | 27.2446i | 0.584216 | − | 1.68964i | ||||
\(261\) | 2.39740 | − | 2.03296i | 0.148395 | − | 0.125837i | ||||
\(262\) | −5.79815 | + | 2.86453i | −0.358211 | + | 0.176971i | ||||
\(263\) | −2.22865 | + | 1.28671i | −0.137424 | + | 0.0793420i | −0.567136 | − | 0.823624i | \(-0.691949\pi\) |
0.429712 | + | 0.902966i | \(0.358615\pi\) | |||||||
\(264\) | 15.7355 | + | 6.03321i | 0.968456 | + | 0.371318i | ||||
\(265\) | −3.03649 | − | 0.626397i | −0.186530 | − | 0.0384793i | ||||
\(266\) | −10.8165 | − | 0.701131i | −0.663205 | − | 0.0429891i | ||||
\(267\) | −2.70014 | + | 3.23492i | −0.165246 | + | 0.197974i | ||||
\(268\) | −3.75019 | + | 28.8061i | −0.229079 | + | 1.75961i | ||||
\(269\) | 25.2205 | 1.53772 | 0.768861 | − | 0.639416i | \(-0.220824\pi\) | ||||
0.768861 | + | 0.639416i | \(0.220824\pi\) | |||||||
\(270\) | 15.8657 | − | 4.27539i | 0.965557 | − | 0.260192i | ||||
\(271\) | 23.6914i | 1.43915i | 0.694413 | + | 0.719576i | \(0.255664\pi\) | ||||
−0.694413 | + | 0.719576i | \(0.744336\pi\) | |||||||
\(272\) | −8.18217 | + | 8.22944i | −0.496117 | + | 0.498983i | ||||
\(273\) | −38.0828 | − | 31.7871i | −2.30487 | − | 1.92384i | ||||
\(274\) | 23.9332 | + | 1.55136i | 1.44586 | + | 0.0937209i | ||||
\(275\) | 17.0830 | − | 2.00314i | 1.03014 | − | 0.120794i | ||||
\(276\) | −12.7049 | + | 11.7366i | −0.764746 | + | 0.706460i | ||||
\(277\) | −5.43107 | − | 9.40689i | −0.326321 | − | 0.565205i | 0.655458 | − | 0.755232i | \(-0.272476\pi\) |
−0.981779 | + | 0.190027i | \(0.939142\pi\) | |||||||
\(278\) | 8.18492 | + | 16.5673i | 0.490899 | + | 0.993640i | ||||
\(279\) | 2.20366 | − | 6.15374i | 0.131930 | − | 0.368414i | ||||
\(280\) | −27.8777 | + | 3.53054i | −1.66601 | + | 0.210990i | ||||
\(281\) | 21.6886 | − | 12.5219i | 1.29383 | − | 0.746996i | 0.314503 | − | 0.949257i | \(-0.398162\pi\) |
0.979332 | + | 0.202261i | \(0.0648290\pi\) | |||||||
\(282\) | −0.883900 | + | 0.929485i | −0.0526355 | + | 0.0553500i | ||||
\(283\) | 23.1480 | + | 13.3645i | 1.37601 | + | 0.794437i | 0.991676 | − | 0.128759i | \(-0.0410993\pi\) |
0.384330 | + | 0.923196i | \(0.374433\pi\) | |||||||
\(284\) | −0.515737 | − | 1.24005i | −0.0306034 | − | 0.0735831i | ||||
\(285\) | 5.22921 | − | 4.15841i | 0.309751 | − | 0.246323i | ||||
\(286\) | 26.0866 | + | 17.4033i | 1.54253 | + | 1.02908i | ||||
\(287\) | 9.95987i | 0.587912i | ||||||||
\(288\) | 15.7620 | − | 6.28961i | 0.928785 | − | 0.370619i | ||||
\(289\) | −8.58303 | −0.504884 | ||||||||
\(290\) | 0.877918 | − | 3.19493i | 0.0515531 | − | 0.187613i | ||||
\(291\) | −19.0212 | − | 3.30306i | −1.11504 | − | 0.193629i | ||||
\(292\) | −21.3335 | + | 8.87263i | −1.24845 | + | 0.519231i | ||||
\(293\) | −15.1704 | − | 8.75861i | −0.886262 | − | 0.511683i | −0.0135438 | − | 0.999908i | \(-0.504311\pi\) |
−0.872718 | + | 0.488225i | \(0.837645\pi\) | |||||||
\(294\) | −7.31722 | + | 30.3384i | −0.426749 | + | 1.76937i | ||||
\(295\) | −9.50662 | + | 10.6865i | −0.553497 | + | 0.622191i | ||||
\(296\) | −8.39024 | − | 1.65009i | −0.487673 | − | 0.0959094i | ||||
\(297\) | 0.139214 | + | 17.8742i | 0.00807804 | + | 1.03717i | ||||
\(298\) | 5.54128 | + | 11.2162i | 0.320998 | + | 0.649739i | ||||
\(299\) | −27.8729 | + | 16.0924i | −1.61193 | + | 0.930649i | ||||
\(300\) | 11.2673 | − | 13.1547i | 0.650520 | − | 0.759489i | ||||
\(301\) | 9.23517 | + | 5.33193i | 0.532306 | + | 0.307327i | ||||
\(302\) | −1.19345 | + | 18.4117i | −0.0686754 | + | 1.05947i | ||||
\(303\) | 2.47103 | − | 14.2298i | 0.141957 | − | 0.817483i | ||||
\(304\) | 4.86510 | − | 4.89321i | 0.279033 | − | 0.280645i | ||||
\(305\) | 2.47773 | + | 7.47274i | 0.141875 | + | 0.427888i | ||||
\(306\) | −11.2955 | − | 4.89061i | −0.645718 | − | 0.279578i | ||||
\(307\) | 21.8552i | 1.24734i | 0.781686 | + | 0.623672i | \(0.214360\pi\) | ||||
−0.781686 | + | 0.623672i | \(0.785640\pi\) | |||||||
\(308\) | 3.94630 | − | 30.3125i | 0.224862 | − | 1.72721i | ||||
\(309\) | 8.47784 | − | 3.11063i | 0.482287 | − | 0.176958i | ||||
\(310\) | −1.74085 | − | 6.66642i | −0.0988736 | − | 0.378627i | ||||
\(311\) | −0.374893 | + | 0.649334i | −0.0212583 | + | 0.0368204i | −0.876459 | − | 0.481477i | \(-0.840101\pi\) |
0.855201 | + | 0.518297i | \(0.173434\pi\) | |||||||
\(312\) | 31.1880 | − | 4.95226i | 1.76567 | − | 0.280367i | ||||
\(313\) | −13.8003 | + | 7.96758i | −0.780037 | + | 0.450354i | −0.836443 | − | 0.548053i | \(-0.815369\pi\) |
0.0564066 | + | 0.998408i | \(0.482036\pi\) | |||||||
\(314\) | 3.75972 | + | 7.61015i | 0.212174 | + | 0.429465i | ||||
\(315\) | −14.2863 | − | 26.1579i | −0.804942 | − | 1.47383i | ||||
\(316\) | 17.2688 | + | 13.2114i | 0.971447 | + | 0.743197i | ||||
\(317\) | 23.4404 | − | 13.5333i | 1.31654 | − | 0.760107i | 0.333373 | − | 0.942795i | \(-0.391813\pi\) |
0.983171 | + | 0.182688i | \(0.0584799\pi\) | |||||||
\(318\) | −0.961204 | − | 3.25749i | −0.0539017 | − | 0.182671i | ||||
\(319\) | 3.12146 | + | 1.80217i | 0.174768 | + | 0.100902i | ||||
\(320\) | 9.97944 | − | 14.8462i | 0.557868 | − | 0.829930i | ||||
\(321\) | 9.51698 | + | 7.94369i | 0.531186 | + | 0.443373i | ||||
\(322\) | 26.0985 | + | 17.4113i | 1.45441 | + | 0.970292i | ||||
\(323\) | −5.00472 | −0.278470 | ||||||||
\(324\) | 12.3167 | + | 13.1263i | 0.684261 | + | 0.729237i | ||||
\(325\) | 25.8452 | − | 19.2559i | 1.43363 | − | 1.06813i | ||||
\(326\) | −1.80785 | − | 1.20609i | −0.100128 | − | 0.0667990i | ||||
\(327\) | −12.1196 | + | 14.5200i | −0.670217 | + | 0.802958i | ||||
\(328\) | −4.77599 | − | 4.17021i | −0.263710 | − | 0.230261i | ||||
\(329\) | 2.01488 | + | 1.16329i | 0.111084 | + | 0.0641343i | ||||
\(330\) | 10.7489 | + | 15.4748i | 0.591706 | + | 0.851862i | ||||
\(331\) | −5.52615 | − | 9.57158i | −0.303745 | − | 0.526102i | 0.673236 | − | 0.739427i | \(-0.264904\pi\) |
−0.976981 | + | 0.213326i | \(0.931570\pi\) | |||||||
\(332\) | 2.37760 | − | 3.10780i | 0.130488 | − | 0.170563i | ||||
\(333\) | −1.62129 | − | 8.92358i | −0.0888459 | − | 0.489009i | ||||
\(334\) | −13.7065 | + | 6.77159i | −0.749988 | + | 0.370525i | ||||
\(335\) | −21.5867 | + | 24.2659i | −1.17941 | + | 1.32579i | ||||
\(336\) | −17.7939 | − | 25.1184i | −0.970737 | − | 1.37032i | ||||
\(337\) | −16.4588 | − | 9.50249i | −0.896568 | − | 0.517634i | −0.0204827 | − | 0.999790i | \(-0.506520\pi\) |
−0.876085 | + | 0.482157i | \(0.839854\pi\) | |||||||
\(338\) | 40.2920 | + | 2.61174i | 2.19160 | + | 0.142060i | ||||
\(339\) | 21.8500 | − | 8.01706i | 1.18673 | − | 0.435427i | ||||
\(340\) | −12.7394 | + | 2.45932i | −0.690889 | + | 0.133375i | ||||
\(341\) | 7.49508 | 0.405881 | ||||||||
\(342\) | 6.71626 | + | 2.90795i | 0.363174 | + | 0.157244i | ||||
\(343\) | 25.5065 | 1.37722 | ||||||||
\(344\) | −6.42356 | + | 2.19599i | −0.346335 | + | 0.118400i | ||||
\(345\) | −19.1258 | + | 2.85588i | −1.02970 | + | 0.153756i | ||||
\(346\) | 2.03363 | − | 31.3734i | 0.109329 | − | 1.68664i | ||||
\(347\) | 18.0715 | − | 31.3007i | 0.970128 | − | 1.68031i | 0.274970 | − | 0.961453i | \(-0.411332\pi\) |
0.695157 | − | 0.718858i | \(-0.255335\pi\) | |||||||
\(348\) | 3.54036 | − | 0.799886i | 0.189783 | − | 0.0428784i | ||||
\(349\) | 9.80141 | − | 5.65885i | 0.524658 | − | 0.302911i | −0.214181 | − | 0.976794i | \(-0.568708\pi\) |
0.738838 | + | 0.673883i | \(0.235375\pi\) | |||||||
\(350\) | −27.9877 | − | 14.2733i | −1.49601 | − | 0.762938i | ||||
\(351\) | 16.9725 | + | 28.8756i | 0.905927 | + | 1.54126i | ||||
\(352\) | 12.8832 | + | 14.5842i | 0.686677 | + | 0.777341i | ||||
\(353\) | −11.2508 | − | 19.4870i | −0.598821 | − | 1.03719i | −0.992995 | − | 0.118152i | \(-0.962303\pi\) |
0.394175 | − | 0.919035i | \(-0.371030\pi\) | |||||||
\(354\) | −15.2314 | − | 3.67362i | −0.809542 | − | 0.195250i | ||||
\(355\) | 0.303365 | − | 1.47057i | 0.0161009 | − | 0.0780500i | ||||
\(356\) | −4.49253 | + | 1.86845i | −0.238104 | + | 0.0990278i | ||||
\(357\) | −3.81986 | + | 21.9973i | −0.202168 | + | 1.16422i | ||||
\(358\) | −23.0737 | − | 15.3934i | −1.21948 | − | 0.813564i | ||||
\(359\) | −8.28323 | −0.437172 | −0.218586 | − | 0.975818i | \(-0.570144\pi\) | ||||
−0.218586 | + | 0.975818i | \(0.570144\pi\) | |||||||
\(360\) | 18.5250 | + | 4.10173i | 0.976354 | + | 0.216180i | ||||
\(361\) | −16.0242 | −0.843379 | ||||||||
\(362\) | 16.8114 | + | 11.2155i | 0.883588 | + | 0.589475i | ||||
\(363\) | −1.35551 | + | 0.497355i | −0.0711459 | + | 0.0261044i | ||||
\(364\) | −21.9962 | − | 52.8879i | −1.15291 | − | 2.77208i | ||||
\(365\) | −25.2994 | − | 5.21902i | −1.32423 | − | 0.273176i | ||||
\(366\) | −5.94307 | + | 6.24957i | −0.310649 | + | 0.326670i | ||||
\(367\) | −6.11970 | − | 10.5996i | −0.319446 | − | 0.553296i | 0.660927 | − | 0.750450i | \(-0.270163\pi\) |
−0.980373 | + | 0.197154i | \(0.936830\pi\) | |||||||
\(368\) | −19.2766 | + | 5.22470i | −1.00486 | + | 0.272356i | ||||
\(369\) | 2.26725 | − | 6.33130i | 0.118028 | − | 0.329594i | ||||
\(370\) | −6.71695 | − | 6.80303i | −0.349198 | − | 0.353673i | ||||
\(371\) | −5.33518 | + | 3.08027i | −0.276989 | + | 0.159919i | ||||
\(372\) | 5.54404 | − | 5.12150i | 0.287445 | − | 0.265537i | ||||
\(373\) | −4.19378 | + | 7.26385i | −0.217146 | + | 0.376108i | −0.953934 | − | 0.300016i | \(-0.903008\pi\) |
0.736788 | + | 0.676123i | \(0.236341\pi\) | |||||||
\(374\) | 0.912961 | − | 14.0845i | 0.0472081 | − | 0.728292i | ||||
\(375\) | 18.6892 | − | 5.07095i | 0.965105 | − | 0.261863i | ||||
\(376\) | −1.40146 | + | 0.479110i | −0.0722746 | + | 0.0247082i | ||||
\(377\) | 6.75393 | 0.347845 | ||||||||
\(378\) | 17.9075 | − | 27.3006i | 0.921065 | − | 1.40419i | ||||
\(379\) | 4.09156 | 0.210169 | 0.105085 | − | 0.994463i | \(-0.466489\pi\) | ||||
0.105085 | + | 0.994463i | \(0.466489\pi\) | |||||||
\(380\) | 7.57480 | − | 1.46231i | 0.388579 | − | 0.0750148i | ||||
\(381\) | 11.2783 | + | 9.41381i | 0.577804 | + | 0.482284i | ||||
\(382\) | 16.1804 | + | 1.04882i | 0.827863 | + | 0.0536623i | ||||
\(383\) | 8.65205 | + | 4.99526i | 0.442099 | + | 0.255246i | 0.704488 | − | 0.709716i | \(-0.251177\pi\) |
−0.262389 | + | 0.964962i | \(0.584510\pi\) | |||||||
\(384\) | 19.4952 | + | 1.98452i | 0.994859 | + | 0.101272i | ||||
\(385\) | 22.7156 | − | 25.5348i | 1.15769 | − | 1.30137i | ||||
\(386\) | 11.2350 | − | 5.55055i | 0.571846 | − | 0.282516i | ||||
\(387\) | −4.65687 | − | 5.49168i | −0.236722 | − | 0.279158i | ||||
\(388\) | −17.7054 | − | 13.5453i | −0.898853 | − | 0.687660i | ||||
\(389\) | −15.5346 | − | 26.9067i | −0.787636 | − | 1.36423i | −0.927412 | − | 0.374042i | \(-0.877971\pi\) |
0.139776 | − | 0.990183i | \(-0.455362\pi\) | |||||||
\(390\) | 31.9417 | + | 15.0415i | 1.61743 | + | 0.761657i | ||||
\(391\) | 12.5450 | + | 7.24287i | 0.634429 | + | 0.366288i | ||||
\(392\) | −23.7018 | + | 27.1448i | −1.19712 | + | 1.37102i | ||||
\(393\) | −2.72832 | − | 7.43589i | −0.137626 | − | 0.375091i | ||||
\(394\) | 13.8323 | + | 9.22802i | 0.696859 | + | 0.464901i | ||||
\(395\) | 7.65063 | + | 23.0740i | 0.384945 | + | 1.16098i | ||||
\(396\) | −9.40886 | + | 18.3707i | −0.472813 | + | 0.923164i | ||||
\(397\) | 19.0643 | 0.956811 | 0.478406 | − | 0.878139i | \(-0.341215\pi\) | ||||
0.478406 | + | 0.878139i | \(0.341215\pi\) | |||||||
\(398\) | 28.9752 | + | 19.3304i | 1.45240 | + | 0.968948i | ||||
\(399\) | 2.27128 | − | 13.0796i | 0.113706 | − | 0.654797i | ||||
\(400\) | 18.5628 | − | 7.44452i | 0.928142 | − | 0.372226i | ||||
\(401\) | −10.4688 | − | 6.04419i | −0.522789 | − | 0.301832i | 0.215286 | − | 0.976551i | \(-0.430932\pi\) |
−0.738075 | + | 0.674719i | \(0.764265\pi\) | |||||||
\(402\) | −34.5861 | − | 8.34169i | −1.72500 | − | 0.416046i | ||||
\(403\) | 12.1629 | − | 7.02225i | 0.605877 | − | 0.349803i | ||||
\(404\) | 10.1333 | − | 13.2454i | 0.504151 | − | 0.658985i | ||||
\(405\) | 3.12700 | + | 19.8802i | 0.155382 | + | 0.987854i | ||||
\(406\) | −2.91611 | − | 5.90257i | −0.144724 | − | 0.292940i | ||||
\(407\) | 9.00657 | − | 5.19995i | 0.446439 | − | 0.257752i | ||||
\(408\) | −8.94883 | − | 11.0420i | −0.443033 | − | 0.546661i | ||||
\(409\) | −17.0935 | + | 29.6068i | −0.845218 | + | 1.46396i | 0.0402130 | + | 0.999191i | \(0.487196\pi\) |
−0.885431 | + | 0.464770i | \(0.846137\pi\) | |||||||
\(410\) | −1.79108 | − | 6.85878i | −0.0884552 | − | 0.338731i | ||||
\(411\) | −5.02555 | + | 28.9405i | −0.247892 | + | 1.42753i | ||||
\(412\) | 10.3403 | + | 1.34617i | 0.509428 | + | 0.0663211i | ||||
\(413\) | 28.4201i | 1.39846i | ||||||||
\(414\) | −12.6268 | − | 17.0090i | −0.620575 | − | 0.835948i | ||||
\(415\) | 4.15253 | − | 1.37685i | 0.203840 | − | 0.0675871i | ||||
\(416\) | 34.5708 | + | 11.5965i | 1.69497 | + | 0.568567i | ||||
\(417\) | −21.2469 | + | 7.79575i | −1.04046 | + | 0.381759i | ||||
\(418\) | −0.542845 | + | 8.37462i | −0.0265514 | + | 0.409616i | ||||
\(419\) | −3.57511 | − | 2.06409i | −0.174656 | − | 0.100838i | 0.410124 | − | 0.912030i | \(-0.365486\pi\) |
−0.584779 | + | 0.811192i | \(0.698819\pi\) | |||||||
\(420\) | −0.645819 | − | 34.4097i | −0.0315127 | − | 1.67902i | ||||
\(421\) | −8.50677 | + | 4.91139i | −0.414595 | + | 0.239366i | −0.692762 | − | 0.721166i | \(-0.743606\pi\) |
0.278167 | + | 0.960533i | \(0.410273\pi\) | |||||||
\(422\) | −11.4290 | − | 23.1337i | −0.556354 | − | 1.12613i | ||||
\(423\) | −1.01601 | − | 1.19815i | −0.0494002 | − | 0.0582558i | ||||
\(424\) | 0.756786 | − | 3.84805i | 0.0367528 | − | 0.186878i | ||||
\(425\) | −13.3218 | − | 5.74060i | −0.646201 | − | 0.278460i | ||||
\(426\) | 1.57761 | − | 0.465512i | 0.0764353 | − | 0.0225541i | ||||
\(427\) | 13.5474 | + | 7.82161i | 0.655606 | + | 0.378514i | ||||
\(428\) | 5.49690 | + | 13.2168i | 0.265703 | + | 0.638859i | ||||
\(429\) | −24.6109 | + | 29.4853i | −1.18823 | + | 1.42356i | ||||
\(430\) | −7.31856 | − | 2.01103i | −0.352932 | − | 0.0969804i | ||||
\(431\) | −6.50175 | −0.313178 | −0.156589 | − | 0.987664i | \(-0.550050\pi\) | ||||
−0.156589 | + | 0.987664i | \(0.550050\pi\) | |||||||
\(432\) | 5.59334 | + | 20.0179i | 0.269110 | + | 0.963110i | ||||
\(433\) | − | 4.89817i | − | 0.235391i | −0.993050 | − | 0.117695i | \(-0.962449\pi\) | ||
0.993050 | − | 0.117695i | \(-0.0375506\pi\) | |||||||
\(434\) | −11.3886 | − | 7.59775i | −0.546670 | − | 0.364704i | ||||
\(435\) | 3.77546 | + | 1.48775i | 0.181019 | + | 0.0713320i | ||||
\(436\) | −20.1648 | + | 8.38658i | −0.965719 | + | 0.401644i | ||||
\(437\) | −7.45925 | − | 4.30660i | −0.356825 | − | 0.206013i | ||||
\(438\) | −8.00857 | − | 27.1408i | −0.382664 | − | 1.29684i | ||||
\(439\) | 5.41005 | − | 3.12349i | 0.258208 | − | 0.149076i | −0.365309 | − | 0.930886i | \(-0.619037\pi\) |
0.623517 | + | 0.781810i | \(0.285703\pi\) | |||||||
\(440\) | 2.73350 | + | 21.5841i | 0.130314 | + | 1.02898i | ||||
\(441\) | −35.9846 | − | 12.8861i | −1.71355 | − | 0.613625i | ||||
\(442\) | −11.7144 | − | 23.7114i | −0.557198 | − | 1.12784i | ||||
\(443\) | 7.00848 | + | 12.1390i | 0.332983 | + | 0.576743i | 0.983095 | − | 0.183095i | \(-0.0586115\pi\) |
−0.650112 | + | 0.759838i | \(0.725278\pi\) | |||||||
\(444\) | 3.10887 | − | 10.0007i | 0.147541 | − | 0.474611i | ||||
\(445\) | −5.32771 | − | 1.09905i | −0.252558 | − | 0.0521002i | ||||
\(446\) | −1.37832 | − | 0.0893428i | −0.0652651 | − | 0.00423050i | ||||
\(447\) | −14.3843 | + | 5.27780i | −0.680356 | + | 0.249631i | ||||
\(448\) | −4.79171 | − | 35.2200i | −0.226387 | − | 1.66399i | ||||
\(449\) | 27.5050i | 1.29804i | 0.760771 | + | 0.649020i | \(0.224821\pi\) | ||||
−0.760771 | + | 0.649020i | \(0.775179\pi\) | |||||||
\(450\) | 14.5421 | + | 15.4443i | 0.685522 | + | 0.728052i | ||||
\(451\) | 7.71135 | 0.363113 | ||||||||
\(452\) | 26.6501 | + | 3.46950i | 1.25351 | + | 0.163192i | ||||
\(453\) | −22.2638 | − | 3.86614i | −1.04604 | − | 0.181647i | ||||
\(454\) | −19.0294 | − | 1.23349i | −0.893093 | − | 0.0578905i | ||||
\(455\) | 12.9385 | − | 62.7200i | 0.606566 | − | 2.94036i | ||||
\(456\) | 5.32096 | + | 6.56556i | 0.249177 | + | 0.307460i | ||||
\(457\) | −24.6195 | + | 14.2141i | −1.15165 | + | 0.664905i | −0.949289 | − | 0.314406i | \(-0.898195\pi\) |
−0.202361 | + | 0.979311i | \(0.564861\pi\) | |||||||
\(458\) | −11.8512 | + | 5.85497i | −0.553770 | + | 0.273585i | ||||
\(459\) | 7.43564 | − | 13.1137i | 0.347066 | − | 0.612096i | ||||
\(460\) | −21.1036 | − | 7.29684i | −0.983959 | − | 0.340217i | ||||
\(461\) | −14.7518 | − | 25.5509i | −0.687060 | − | 1.19002i | −0.972785 | − | 0.231711i | \(-0.925567\pi\) |
0.285724 | − | 0.958312i | \(-0.407766\pi\) | |||||||
\(462\) | 36.3947 | + | 8.77791i | 1.69324 | + | 0.408386i | ||||
\(463\) | 14.2019 | − | 24.5984i | 0.660019 | − | 1.14319i | −0.320592 | − | 0.947217i | \(-0.603882\pi\) |
0.980610 | − | 0.195968i | \(-0.0627849\pi\) | |||||||
\(464\) | 4.05140 | + | 1.07307i | 0.188081 | + | 0.0498160i | ||||
\(465\) | 8.34593 | − | 1.24622i | 0.387033 | − | 0.0577921i | ||||
\(466\) | −13.5835 | + | 20.3609i | −0.629244 | + | 0.943200i | ||||
\(467\) | −18.8199 | −0.870881 | −0.435441 | − | 0.900217i | \(-0.643407\pi\) | ||||
−0.435441 | + | 0.900217i | \(0.643407\pi\) | |||||||
\(468\) | 1.94325 | + | 38.6270i | 0.0898269 | + | 1.78553i | ||||
\(469\) | 64.5336i | 2.97988i | ||||||||
\(470\) | −1.59672 | − | 0.438755i | −0.0736514 | − | 0.0202383i | ||||
\(471\) | −9.75969 | + | 3.58096i | −0.449703 | + | 0.165002i | ||||
\(472\) | −13.6281 | − | 11.8995i | −0.627283 | − | 0.547720i | ||||
\(473\) | 4.12820 | − | 7.15026i | 0.189815 | − | 0.328769i | ||||
\(474\) | −18.3507 | + | 19.2971i | −0.842877 | + | 0.886346i | ||||
\(475\) | 7.92111 | + | 3.41335i | 0.363446 | + | 0.156615i | ||||
\(476\) | −15.6646 | + | 20.4756i | −0.717988 | + | 0.938496i | ||||
\(477\) | 4.09266 | − | 0.743577i | 0.187390 | − | 0.0340461i | ||||
\(478\) | −14.0547 | − | 28.4484i | −0.642845 | − | 1.30120i | ||||
\(479\) | 15.7865 | + | 27.3430i | 0.721302 | + | 1.24933i | 0.960478 | + | 0.278356i | \(0.0897895\pi\) |
−0.239176 | + | 0.970976i | \(0.576877\pi\) | |||||||
\(480\) | 16.7707 | + | 14.0977i | 0.765472 | + | 0.643469i | ||||
\(481\) | 9.74380 | − | 16.8768i | 0.444279 | − | 0.769514i | ||||
\(482\) | −17.7469 | − | 1.15036i | −0.808349 | − | 0.0523974i | ||||
\(483\) | −24.6221 | + | 29.4987i | −1.12035 | + | 1.34224i | ||||
\(484\) | −1.65329 | − | 0.215238i | −0.0751496 | − | 0.00978354i | ||||
\(485\) | −7.84403 | − | 23.6573i | −0.356179 | − | 1.07422i | ||||
\(486\) | −17.5981 | + | 13.2780i | −0.798268 | + | 0.602303i | ||||
\(487\) | −26.0524 | −1.18055 | −0.590273 | − | 0.807204i | \(-0.700980\pi\) | ||||
−0.590273 | + | 0.807204i | \(0.700980\pi\) | |||||||
\(488\) | −9.42296 | + | 3.22139i | −0.426558 | + | 0.145825i | ||||
\(489\) | 1.70559 | − | 2.04339i | 0.0771293 | − | 0.0924053i | ||||
\(490\) | −38.9826 | + | 10.1798i | −1.76105 | + | 0.459876i | ||||
\(491\) | 15.9676 | + | 9.21888i | 0.720606 | + | 0.416042i | 0.814976 | − | 0.579495i | \(-0.196750\pi\) |
−0.0943697 | + | 0.995537i | \(0.530084\pi\) | |||||||
\(492\) | 5.70401 | − | 5.26928i | 0.257157 | − | 0.237557i | ||||
\(493\) | −1.51990 | − | 2.63255i | −0.0684530 | − | 0.118564i | ||||
\(494\) | 6.96538 | + | 14.0988i | 0.313387 | + | 0.634334i | ||||
\(495\) | −20.2526 | + | 11.0611i | −0.910284 | + | 0.497158i | ||||
\(496\) | 8.41171 | − | 2.27990i | 0.377697 | − | 0.102371i | ||||
\(497\) | −1.49178 | − | 2.58383i | −0.0669153 | − | 0.115901i | ||||
\(498\) | 3.47283 | + | 3.30251i | 0.155621 | + | 0.147989i | ||||
\(499\) | 4.26300 | − | 7.38373i | 0.190838 | − | 0.330541i | −0.754690 | − | 0.656081i | \(-0.772213\pi\) |
0.945528 | + | 0.325540i | \(0.105546\pi\) | |||||||
\(500\) | 21.8403 | + | 4.79614i | 0.976726 | + | 0.214490i | ||||
\(501\) | −6.44962 | − | 17.5780i | −0.288148 | − | 0.785329i | ||||
\(502\) | 20.5046 | + | 13.6794i | 0.915163 | + | 0.610540i | ||||
\(503\) | − | 8.43519i | − | 0.376107i | −0.982159 | − | 0.188053i | \(-0.939782\pi\) | ||
0.982159 | − | 0.188053i | \(-0.0602178\pi\) | |||||||
\(504\) | 32.9189 | − | 18.3761i | 1.46632 | − | 0.818537i | ||||
\(505\) | 17.6981 | − | 5.86815i | 0.787554 | − | 0.261129i | ||||
\(506\) | 13.4805 | − | 20.2065i | 0.599283 | − | 0.898290i | ||||
\(507\) | −8.46062 | + | 48.7219i | −0.375749 | + | 2.16381i | ||||
\(508\) | 6.51420 | + | 15.6628i | 0.289021 | + | 0.694926i | ||||
\(509\) | 10.7797 | − | 18.6710i | 0.477801 | − | 0.827576i | −0.521875 | − | 0.853022i | \(-0.674767\pi\) |
0.999676 | + | 0.0254459i | \(0.00810057\pi\) | |||||||
\(510\) | −1.32525 | − | 15.8352i | −0.0586833 | − | 0.701193i | ||||
\(511\) | −44.4517 | + | 25.6642i | −1.96643 | + | 1.13532i | ||||
\(512\) | 18.8951 | + | 12.4489i | 0.835053 | + | 0.550170i | ||||
\(513\) | −4.42122 | + | 7.79740i | −0.195202 | + | 0.344264i | ||||
\(514\) | 0.829690 | + | 1.67939i | 0.0365961 | + | 0.0740749i | ||||
\(515\) | 8.71049 | + | 7.74878i | 0.383830 | + | 0.341452i | ||||
\(516\) | −1.83228 | − | 8.10984i | −0.0806617 | − | 0.357016i | ||||
\(517\) | 0.900669 | − | 1.56000i | 0.0396114 | − | 0.0686089i | ||||
\(518\) | −18.9564 | − | 1.22876i | −0.832897 | − | 0.0539886i | ||||
\(519\) | 37.9373 | + | 6.58786i | 1.66526 | + | 0.289175i | ||||
\(520\) | 24.6583 | + | 32.4652i | 1.08134 | + | 1.42369i | ||||
\(521\) | 0.782710i | 0.0342912i | 0.999853 | + | 0.0171456i | \(0.00545788\pi\) | ||||
−0.999853 | + | 0.0171456i | \(0.994542\pi\) | |||||||
\(522\) | 0.510067 | + | 4.41597i | 0.0223250 | + | 0.193282i | ||||
\(523\) | − | 17.8348i | − | 0.779862i | −0.920844 | − | 0.389931i | \(-0.872499\pi\) | ||
0.920844 | − | 0.389931i | \(-0.127501\pi\) | |||||||
\(524\) | 1.18072 | − | 9.06940i | 0.0515801 | − | 0.396199i | ||||
\(525\) | 21.0485 | − | 32.2105i | 0.918633 | − | 1.40578i | ||||
\(526\) | 0.235411 | − | 3.63175i | 0.0102644 | − | 0.158352i | ||||
\(527\) | −5.47427 | − | 3.16057i | −0.238463 | − | 0.137677i | ||||
\(528\) | −19.4477 | + | 13.7768i | −0.846354 | + | 0.599558i | ||||
\(529\) | 0.965104 | + | 1.67161i | 0.0419611 | + | 0.0726787i | ||||
\(530\) | 3.12010 | − | 3.08062i | 0.135529 | − | 0.133814i | ||||
\(531\) | 6.46949 | − | 18.0661i | 0.280752 | − | 0.784002i | ||||
\(532\) | 9.31418 | − | 12.1747i | 0.403821 | − | 0.527842i | ||||
\(533\) | 12.5138 | − | 7.22487i | 0.542035 | − | 0.312944i | ||||
\(534\) | −1.68649 | − | 5.71548i | −0.0729817 | − | 0.247333i | ||||
\(535\) | −3.23337 | + | 15.6739i | −0.139791 | + | 0.677641i | ||||
\(536\) | −30.9453 | − | 27.0203i | −1.33663 | − | 1.16710i | ||||
\(537\) | 21.7685 | − | 26.0799i | 0.939380 | − | 1.12543i | ||||
\(538\) | −19.7943 | + | 29.6704i | −0.853391 | + | 1.27918i | ||||
\(539\) | − | 43.8283i | − | 1.88782i | ||||||
\(540\) | −7.42243 | + | 22.0206i | −0.319410 | + | 0.947616i | ||||
\(541\) | − | 30.1985i | − | 1.29834i | −0.760645 | − | 0.649168i | \(-0.775117\pi\) | ||
0.760645 | − | 0.649168i | \(-0.224883\pi\) | |||||||
\(542\) | −27.8716 | − | 18.5942i | −1.19719 | − | 0.798688i | ||||
\(543\) | −15.8604 | + | 19.0017i | −0.680636 | + | 0.815440i | ||||
\(544\) | −3.25970 | − | 16.0847i | −0.139758 | − | 0.689626i | ||||
\(545\) | −23.9135 | − | 4.93312i | −1.02434 | − | 0.211312i | ||||
\(546\) | 67.2849 | − | 19.8541i | 2.87953 | − | 0.849676i | ||||
\(547\) | −13.0967 | + | 7.56137i | −0.559973 | + | 0.323301i | −0.753135 | − | 0.657866i | \(-0.771459\pi\) |
0.193161 | + | 0.981167i | \(0.438126\pi\) | |||||||
\(548\) | −20.6090 | + | 26.9384i | −0.880373 | + | 1.15075i | ||||
\(549\) | −6.83135 | − | 8.05596i | −0.291555 | − | 0.343820i | ||||
\(550\) | −11.0510 | + | 21.6693i | −0.471215 | + | 0.923981i | ||||
\(551\) | 0.903732 | + | 1.56531i | 0.0385003 | + | 0.0666844i | ||||
\(552\) | −3.83599 | − | 24.1580i | −0.163271 | − | 1.02823i | ||||
\(553\) | 41.8311 | + | 24.1512i | 1.77884 | + | 1.02701i | ||||
\(554\) | 15.3292 | + | 0.993643i | 0.651276 | + | 0.0422159i | ||||
\(555\) | 9.16440 | − | 7.28779i | 0.389007 | − | 0.309349i | ||||
\(556\) | −25.9144 | − | 3.37373i | −1.09901 | − | 0.143078i | ||||
\(557\) | 33.5757i | 1.42265i | 0.702865 | + | 0.711323i | \(0.251904\pi\) | ||||
−0.702865 | + | 0.711323i | \(0.748096\pi\) | |||||||
\(558\) | 5.50997 | + | 7.42222i | 0.233256 | + | 0.314208i | ||||
\(559\) | − | 15.4711i | − | 0.654357i | ||||||
\(560\) | 17.7263 | − | 35.5674i | 0.749072 | − | 1.50300i | ||||
\(561\) | 17.0312 | + | 2.95750i | 0.719059 | + | 0.124866i | ||||
\(562\) | −2.29095 | + | 35.3432i | −0.0966381 | + | 1.49086i | ||||
\(563\) | 7.95097 | − | 13.7715i | 0.335094 | − | 0.580399i | −0.648409 | − | 0.761292i | \(-0.724565\pi\) |
0.983503 | + | 0.180893i | \(0.0578987\pi\) | |||||||
\(564\) | −0.399757 | − | 1.76936i | −0.0168328 | − | 0.0745035i | ||||
\(565\) | 22.4496 | + | 19.9710i | 0.944464 | + | 0.840187i | ||||
\(566\) | −33.8902 | + | 16.7432i | −1.42451 | + | 0.703767i | ||||
\(567\) | 30.8975 | + | 25.3840i | 1.29757 | + | 1.06603i | ||||
\(568\) | 1.86362 | + | 0.366512i | 0.0781956 | + | 0.0153785i | ||||
\(569\) | 30.6625 | − | 17.7030i | 1.28544 | − | 0.742148i | 0.307601 | − | 0.951515i | \(-0.400474\pi\) |
0.977837 | + | 0.209368i | \(0.0671405\pi\) | |||||||
\(570\) | 0.787995 | + | 9.41558i | 0.0330055 | + | 0.394375i | ||||
\(571\) | −13.5162 | + | 23.4107i | −0.565634 | + | 0.979706i | 0.431357 | + | 0.902181i | \(0.358035\pi\) |
−0.996990 | + | 0.0775247i | \(0.975298\pi\) | |||||||
\(572\) | −40.9480 | + | 17.0304i | −1.71212 | + | 0.712075i | ||||
\(573\) | −3.39761 | + | 19.5657i | −0.141937 | + | 0.817369i | ||||
\(574\) | −11.7172 | − | 7.81698i | −0.489066 | − | 0.326275i | ||||
\(575\) | −14.9155 | − | 20.0195i | −0.622021 | − | 0.834872i | ||||
\(576\) | −4.97142 | + | 23.4795i | −0.207142 | + | 0.978311i | ||||
\(577\) | 39.6149i | 1.64919i | 0.565723 | + | 0.824596i | \(0.308597\pi\) | ||||
−0.565723 | + | 0.824596i | \(0.691403\pi\) | |||||||
\(578\) | 6.73637 | − | 10.0974i | 0.280196 | − | 0.419998i | ||||
\(579\) | 5.28663 | + | 14.4084i | 0.219705 | + | 0.598793i | ||||
\(580\) | 3.06961 | + | 3.54035i | 0.127459 | + | 0.147005i | ||||
\(581\) | 4.34640 | − | 7.52818i | 0.180319 | − | 0.312322i | ||||
\(582\) | 18.8146 | − | 19.7849i | 0.779891 | − | 0.820112i | ||||
\(583\) | 2.38487 | + | 4.13072i | 0.0987713 | + | 0.171077i | ||||
\(584\) | 6.30540 | − | 32.0612i | 0.260919 | − | 1.32670i | ||||
\(585\) | −22.5022 | + | 36.9246i | −0.930352 | + | 1.52664i | ||||
\(586\) | 22.2104 | − | 10.9729i | 0.917504 | − | 0.453284i | ||||
\(587\) | −16.4029 | − | 28.4107i | −0.677020 | − | 1.17263i | −0.975874 | − | 0.218335i | \(-0.929938\pi\) |
0.298854 | − | 0.954299i | \(-0.403396\pi\) | |||||||
\(588\) | −29.9485 | − | 32.4193i | −1.23505 | − | 1.33695i | ||||
\(589\) | 3.25499 | + | 1.87927i | 0.134120 | + | 0.0774340i | ||||
\(590\) | −5.11078 | − | 19.5712i | −0.210407 | − | 0.805735i | ||||
\(591\) | −13.0498 | + | 15.6344i | −0.536797 | + | 0.643113i | ||||
\(592\) | 8.52629 | − | 8.57556i | 0.350429 | − | 0.352453i | ||||
\(593\) | −3.01321 | −0.123738 | −0.0618689 | − | 0.998084i | \(-0.519706\pi\) | ||||
−0.0618689 | + | 0.998084i | \(0.519706\pi\) | |||||||
\(594\) | −21.1373 | − | 13.8648i | −0.867272 | − | 0.568879i | ||||
\(595\) | −27.3587 | + | 9.07132i | −1.12160 | + | 0.371888i | ||||
\(596\) | −17.5443 | − | 2.28405i | −0.718642 | − | 0.0935583i | ||||
\(597\) | −27.3361 | + | 32.7502i | −1.11879 | + | 1.34038i | ||||
\(598\) | 2.94420 | − | 45.4209i | 0.120397 | − | 1.85740i | ||||
\(599\) | −6.12099 | + | 10.6019i | −0.250097 | + | 0.433180i | −0.963552 | − | 0.267520i | \(-0.913796\pi\) |
0.713455 | + | 0.700701i | \(0.247129\pi\) | |||||||
\(600\) | 6.63263 | + | 23.5798i | 0.270776 | + | 0.962642i | ||||
\(601\) | 13.5824 | + | 23.5254i | 0.554038 | + | 0.959622i | 0.997978 | + | 0.0635651i | \(0.0202470\pi\) |
−0.443940 | + | 0.896057i | \(0.646420\pi\) | |||||||
\(602\) | −13.5209 | + | 6.67988i | −0.551071 | + | 0.272252i | ||||
\(603\) | 14.6903 | − | 41.0228i | 0.598235 | − | 1.67058i | ||||
\(604\) | −20.7236 | − | 15.8544i | −0.843232 | − | 0.645107i | ||||
\(605\) | −1.39271 | − | 1.23894i | −0.0566217 | − | 0.0503702i | ||||
\(606\) | 14.8012 | + | 14.0753i | 0.601257 | + | 0.571769i | ||||
\(607\) | 2.87905 | − | 4.98666i | 0.116857 | − | 0.202402i | −0.801663 | − | 0.597776i | \(-0.796051\pi\) |
0.918521 | + | 0.395373i | \(0.129385\pi\) | |||||||
\(608\) | 1.93821 | + | 9.56394i | 0.0786049 | + | 0.387869i | ||||
\(609\) | 7.56980 | − | 2.77746i | 0.306744 | − | 0.112548i | ||||
\(610\) | −10.7359 | − | 2.95006i | −0.434683 | − | 0.119444i | ||||
\(611\) | − | 3.37540i | − | 0.136554i | ||||||
\(612\) | 14.6187 | − | 9.45005i | 0.590927 | − | 0.381996i | ||||
\(613\) | 31.0299 | 1.25329 | 0.626643 | − | 0.779307i | \(-0.284428\pi\) | ||||
0.626643 | + | 0.779307i | \(0.284428\pi\) | |||||||
\(614\) | −25.7114 | − | 17.1530i | −1.03763 | − | 0.692240i | ||||
\(615\) | 8.58675 | − | 1.28218i | 0.346251 | − | 0.0517025i | ||||
\(616\) | 32.5636 | + | 28.4333i | 1.31202 | + | 1.14561i | ||||
\(617\) | −5.20064 | + | 9.00778i | −0.209370 | + | 0.362640i | −0.951516 | − | 0.307598i | \(-0.900475\pi\) |
0.742146 | + | 0.670238i | \(0.233808\pi\) | |||||||
\(618\) | −2.99434 | + | 12.4150i | −0.120450 | + | 0.499406i | ||||
\(619\) | −10.9667 | − | 18.9949i | −0.440790 | − | 0.763471i | 0.556958 | − | 0.830541i | \(-0.311968\pi\) |
−0.997748 | + | 0.0670697i | \(0.978635\pi\) | |||||||
\(620\) | 9.20896 | + | 3.18412i | 0.369841 | + | 0.127877i | ||||
\(621\) | 22.3669 | − | 13.1468i | 0.897551 | − | 0.527564i | ||||
\(622\) | −0.469669 | − | 0.950669i | −0.0188320 | − | 0.0381183i | ||||
\(623\) | −9.36091 | + | 5.40452i | −0.375037 | + | 0.216528i | ||||
\(624\) | −18.6518 | + | 40.5776i | −0.746668 | + | 1.62440i | ||||
\(625\) | 17.1695 | + | 18.1716i | 0.686781 | + | 0.726864i | ||||
\(626\) | 1.45771 | − | 22.4885i | 0.0582619 | − | 0.898823i | ||||
\(627\) | −10.1267 | − | 1.75852i | −0.404423 | − | 0.0702287i | ||||
\(628\) | −11.9037 | − | 1.54971i | −0.475009 | − | 0.0618403i | ||||
\(629\) | −8.77098 | −0.349722 | ||||||||
\(630\) | 41.9858 | + | 3.72297i | 1.67275 | + | 0.148327i | ||||
\(631\) | − | 21.1882i | − | 0.843487i | −0.906715 | − | 0.421744i | \(-0.861418\pi\) | ||
0.906715 | − | 0.421744i | \(-0.138582\pi\) | |||||||
\(632\) | −29.0958 | + | 9.94684i | −1.15737 | + | 0.395664i | ||||
\(633\) | 29.6679 | − | 10.8856i | 1.17919 | − | 0.432662i | ||||
\(634\) | −2.47599 | + | 38.1978i | −0.0983343 | + | 1.51703i | ||||
\(635\) | −3.83176 | + | 18.5746i | −0.152059 | + | 0.737111i | ||||
\(636\) | 4.58665 | + | 1.42584i | 0.181872 | + | 0.0565381i | ||||
\(637\) | −41.0633 | − | 71.1237i | −1.62699 | − | 2.81802i | ||||
\(638\) | −4.57002 | + | 2.25778i | −0.180929 | + | 0.0893863i | ||||
\(639\) | 0.360115 | + | 1.98208i | 0.0142459 | + | 0.0784098i | ||||
\(640\) | 9.63338 | + | 23.3923i | 0.380793 | + | 0.924660i | ||||
\(641\) | −32.1022 | + | 18.5342i | −1.26796 | + | 0.732058i | −0.974602 | − | 0.223944i | \(-0.928107\pi\) |
−0.293360 | + | 0.956002i | \(0.594773\pi\) | |||||||
\(642\) | −16.8147 | + | 4.96159i | −0.663622 | + | 0.195818i | ||||
\(643\) | 1.11222 | + | 0.642142i | 0.0438618 | + | 0.0253236i | 0.521771 | − | 0.853086i | \(-0.325272\pi\) |
−0.477909 | + | 0.878409i | \(0.658605\pi\) | |||||||
\(644\) | −40.9667 | + | 17.0381i | −1.61431 | + | 0.671396i | ||||
\(645\) | 3.40795 | − | 8.64837i | 0.134188 | − | 0.340529i | ||||
\(646\) | 3.92794 | − | 5.88776i | 0.154543 | − | 0.231651i | ||||
\(647\) | − | 20.7519i | − | 0.815840i | −0.913018 | − | 0.407920i | \(-0.866254\pi\) | ||
0.913018 | − | 0.407920i | \(-0.133746\pi\) | |||||||
\(648\) | −25.1090 | + | 4.18774i | −0.986375 | + | 0.164510i | ||||
\(649\) | 22.0040 | 0.863733 | ||||||||
\(650\) | 2.36893 | + | 45.5183i | 0.0929170 | + | 1.78537i | ||||
\(651\) | 10.7444 | − | 12.8723i | 0.421105 | − | 0.504507i | ||||
\(652\) | 2.83778 | − | 1.18024i | 0.111136 | − | 0.0462217i | ||||
\(653\) | −0.660974 | − | 0.381613i | −0.0258659 | − | 0.0149337i | 0.487011 | − | 0.873396i | \(-0.338087\pi\) |
−0.512877 | + | 0.858462i | \(0.671420\pi\) | |||||||
\(654\) | −7.56986 | − | 25.6540i | −0.296005 | − | 1.00315i | ||||
\(655\) | 6.79643 | − | 7.63994i | 0.265559 | − | 0.298517i | ||||
\(656\) | 8.65443 | − | 2.34569i | 0.337899 | − | 0.0915837i | ||||
\(657\) | 34.0992 | − | 6.19534i | 1.33034 | − | 0.241703i | ||||
\(658\) | −2.94992 | + | 1.45738i | −0.115000 | + | 0.0568146i | ||||
\(659\) | 36.1360 | − | 20.8631i | 1.40766 | − | 0.812711i | 0.412496 | − | 0.910960i | \(-0.364657\pi\) |
0.995162 | + | 0.0982481i | \(0.0313239\pi\) | |||||||
\(660\) | −26.6415 | + | 0.500020i | −1.03702 | + | 0.0194633i | ||||
\(661\) | −6.19796 | − | 3.57839i | −0.241073 | − | 0.139183i | 0.374597 | − | 0.927188i | \(-0.377781\pi\) |
−0.615670 | + | 0.788004i | \(0.711114\pi\) | |||||||
\(662\) | 15.5976 | + | 1.01104i | 0.606218 | + | 0.0392952i | ||||
\(663\) | 30.4089 | − | 11.1574i | 1.18098 | − | 0.433318i | ||||
\(664\) | 1.79009 | + | 5.23625i | 0.0694691 | + | 0.203206i | ||||
\(665\) | 16.2674 | − | 5.39379i | 0.630824 | − | 0.209162i | ||||
\(666\) | 11.7705 | + | 5.09630i | 0.456099 | + | 0.197478i | ||||
\(667\) | − | 5.23156i | − | 0.202567i | ||||||
\(668\) | 2.79117 | − | 21.4396i | 0.107994 | − | 0.829523i | ||||
\(669\) | 0.289422 | − | 1.66669i | 0.0111897 | − | 0.0644378i | ||||
\(670\) | −11.6051 | − | 44.4405i | −0.448343 | − | 1.71689i | ||||
\(671\) | 6.05582 | − | 10.4890i | 0.233782 | − | 0.404923i | ||||
\(672\) | 43.5158 | − | 1.21935i | 1.67866 | − | 0.0470374i | ||||
\(673\) | 16.9451 | − | 9.78327i | 0.653187 | − | 0.377117i | −0.136489 | − | 0.990642i | \(-0.543582\pi\) |
0.789676 | + | 0.613524i | \(0.210249\pi\) | |||||||
\(674\) | 24.0968 | − | 11.9048i | 0.928173 | − | 0.458556i | ||||
\(675\) | −20.7125 | + | 15.6842i | −0.797224 | + | 0.603683i | ||||
\(676\) | −34.6957 | + | 45.3514i | −1.33445 | + | 1.74428i | ||||
\(677\) | 10.7409 | − | 6.20128i | 0.412807 | − | 0.238334i | −0.279188 | − | 0.960236i | \(-0.590065\pi\) |
0.691995 | + | 0.721902i | \(0.256732\pi\) | |||||||
\(678\) | −7.71735 | + | 31.9974i | −0.296383 | + | 1.22885i | ||||
\(679\) | −42.8886 | − | 24.7617i | −1.64591 | − | 0.950268i | ||||
\(680\) | 7.10521 | − | 16.9173i | 0.272472 | − | 0.648749i | ||||
\(681\) | 3.99584 | − | 23.0107i | 0.153121 | − | 0.881771i | ||||
\(682\) | −5.88250 | + | 8.81752i | −0.225253 | + | 0.337640i | ||||
\(683\) | 3.77134 | 0.144306 | 0.0721531 | − | 0.997394i | \(-0.477013\pi\) | ||||
0.0721531 | + | 0.997394i | \(0.477013\pi\) | |||||||
\(684\) | −8.69228 | + | 5.61899i | −0.332358 | + | 0.214847i | ||||
\(685\) | −35.9942 | + | 11.9346i | −1.37527 | + | 0.455997i | ||||
\(686\) | −20.0187 | + | 30.0069i | −0.764319 | + | 1.14567i | ||||
\(687\) | −5.57658 | − | 15.1986i | −0.212760 | − | 0.579865i | ||||
\(688\) | 2.45806 | − | 9.28046i | 0.0937127 | − | 0.353814i | ||||
\(689\) | 7.74026 | + | 4.46884i | 0.294880 | + | 0.170249i | ||||
\(690\) | 11.6511 | − | 24.7418i | 0.443549 | − | 0.941906i | ||||
\(691\) | −12.2697 | − | 21.2518i | −0.466763 | − | 0.808457i | 0.532516 | − | 0.846420i | \(-0.321246\pi\) |
−0.999279 | + | 0.0379629i | \(0.987913\pi\) | |||||||
\(692\) | 35.3128 | + | 27.0158i | 1.34239 | + | 1.02699i | ||||
\(693\) | −15.4585 | + | 43.1680i | −0.587220 | + | 1.63982i | ||||
\(694\) | 22.6401 | + | 45.8263i | 0.859406 | + | 1.73954i | ||||
\(695\) | −21.8299 | − | 19.4197i | −0.828056 | − | 0.736632i | ||||
\(696\) | −1.83763 | + | 4.79282i | −0.0696551 | + | 0.181671i | ||||
\(697\) | −5.63223 | − | 3.25177i | −0.213336 | − | 0.123170i | ||||
\(698\) | −1.03532 | + | 15.9721i | −0.0391873 | + | 0.604554i | ||||
\(699\) | −23.0136 | − | 19.2091i | −0.870455 | − | 0.726556i | ||||
\(700\) | 38.7578 | − | 21.7236i | 1.46491 | − | 0.821073i | ||||
\(701\) | −9.59102 | −0.362248 | −0.181124 | − | 0.983460i | \(-0.557973\pi\) | ||||
−0.181124 | + | 0.983460i | \(0.557973\pi\) | |||||||
\(702\) | −47.2913 | − | 2.69574i | −1.78489 | − | 0.101744i | ||||
\(703\) | 5.21521 | 0.196695 | ||||||||
\(704\) | −27.2688 | + | 3.70994i | −1.02773 | + | 0.139824i | ||||
\(705\) | 0.743529 | − | 1.88685i | 0.0280029 | − | 0.0710630i | ||||
\(706\) | 31.7555 | + | 2.05840i | 1.19513 | + | 0.0774688i | ||||
\(707\) | 18.5243 | − | 32.0851i | 0.696679 | − | 1.20668i | ||||
\(708\) | 16.2762 | − | 15.0357i | 0.611695 | − | 0.565075i | ||||
\(709\) | −28.1065 | + | 16.2273i | −1.05556 | + | 0.609428i | −0.924201 | − | 0.381906i | \(-0.875268\pi\) |
−0.131360 | + | 0.991335i | \(0.541934\pi\) | |||||||
\(710\) | 1.49195 | + | 1.51107i | 0.0559919 | + | 0.0567094i | ||||
\(711\) | −21.0935 | − | 24.8748i | −0.791068 | − | 0.932878i | ||||
\(712\) | 1.32783 | − | 6.75165i | 0.0497625 | − | 0.253029i | ||||
\(713\) | −5.43939 | − | 9.42131i | −0.203707 | − | 0.352831i | ||||
\(714\) | −22.8805 | − | 21.7584i | −0.856282 | − | 0.814287i | ||||
\(715\) | −48.5604 | − | 10.0175i | −1.81606 | − | 0.374635i | ||||
\(716\) | 36.2188 | − | 15.0635i | 1.35356 | − | 0.562948i | ||||
\(717\) | 36.4838 | − | 13.3864i | 1.36251 | − | 0.499924i | ||||
\(718\) | 6.50107 | − | 9.74473i | 0.242618 | − | 0.363670i | ||||
\(719\) | −3.09937 | −0.115587 | −0.0577935 | − | 0.998329i | \(-0.518407\pi\) | ||||
−0.0577935 | + | 0.998329i | \(0.518407\pi\) | |||||||
\(720\) | −19.3648 | + | 18.5743i | −0.721682 | + | 0.692225i | ||||
\(721\) | 23.1650 | 0.862710 | ||||||||
\(722\) | 12.5766 | − | 18.8515i | 0.468051 | − | 0.701581i | ||||
\(723\) | 3.72654 | − | 21.4599i | 0.138591 | − | 0.798102i | ||||
\(724\) | −26.3888 | + | 10.9752i | −0.980732 | + | 0.407888i | ||||
\(725\) | 0.610126 | + | 5.20322i | 0.0226595 | + | 0.193243i | ||||
\(726\) | 0.478762 | − | 1.98503i | 0.0177685 | − | 0.0736713i | ||||
\(727\) | 14.2922 | + | 24.7548i | 0.530069 | + | 0.918106i | 0.999385 | + | 0.0350755i | \(0.0111672\pi\) |
−0.469316 | + | 0.883030i | \(0.655500\pi\) | |||||||
\(728\) | 79.4831 | + | 15.6317i | 2.94584 | + | 0.579351i | ||||
\(729\) | −13.8626 | − | 23.1696i | −0.513429 | − | 0.858132i | ||||
\(730\) | 25.9961 | − | 25.6672i | 0.962158 | − | 0.949984i | ||||
\(731\) | −6.03033 | + | 3.48161i | −0.223040 | + | 0.128772i | ||||
\(732\) | −2.68785 | − | 11.8966i | −0.0993456 | − | 0.439712i | ||||
\(733\) | 7.45704 | − | 12.9160i | 0.275432 | − | 0.477062i | −0.694812 | − | 0.719191i | \(-0.744512\pi\) |
0.970244 | + | 0.242129i | \(0.0778458\pi\) | |||||||
\(734\) | 17.2729 | + | 1.11963i | 0.637554 | + | 0.0413264i | ||||
\(735\) | −7.28741 | − | 48.8037i | −0.268800 | − | 1.80015i | ||||
\(736\) | 8.98262 | − | 26.7783i | 0.331104 | − | 0.987063i | ||||
\(737\) | 49.9646 | 1.84047 | ||||||||
\(738\) | 5.66896 | + | 7.63639i | 0.208677 | + | 0.281099i | ||||
\(739\) | 34.3294 | 1.26283 | 0.631415 | − | 0.775445i | \(-0.282475\pi\) | ||||
0.631415 | + | 0.775445i | \(0.282475\pi\) | |||||||
\(740\) | 13.2752 | − | 2.56276i | 0.488004 | − | 0.0942087i | ||||
\(741\) | −18.0811 | + | 6.63419i | −0.664226 | + | 0.243713i | ||||
\(742\) | 0.563551 | − | 8.69406i | 0.0206886 | − | 0.319169i | ||||
\(743\) | −3.91484 | − | 2.26023i | −0.143621 | − | 0.0829199i | 0.426467 | − | 0.904503i | \(-0.359758\pi\) |
−0.570089 | + | 0.821583i | \(0.693091\pi\) | |||||||
\(744\) | 1.67391 | + | 10.5418i | 0.0613686 | + | 0.386482i | ||||
\(745\) | −14.7791 | − | 13.1474i | −0.541464 | − | 0.481682i | ||||
\(746\) | −5.25401 | − | 10.6348i | −0.192363 | − | 0.389366i | ||||
\(747\) | −4.47662 | + | 3.79612i | −0.163791 | + | 0.138893i | ||||
\(748\) | 15.8530 | + | 12.1282i | 0.579645 | + | 0.443452i | ||||
\(749\) | 15.8999 | + | 27.5394i | 0.580968 | + | 1.00627i | ||||
\(750\) | −8.70249 | + | 25.9666i | −0.317770 | + | 0.948168i | ||||
\(751\) | 10.3164 | + | 5.95615i | 0.376449 | + | 0.217343i | 0.676272 | − | 0.736652i | \(-0.263594\pi\) |
−0.299823 | + | 0.953995i | \(0.596928\pi\) | |||||||
\(752\) | 0.536286 | − | 2.02476i | 0.0195564 | − | 0.0738354i | ||||
\(753\) | −19.3447 | + | 23.1760i | −0.704959 | + | 0.844580i | ||||
\(754\) | −5.30080 | + | 7.94560i | −0.193044 | + | 0.289362i | ||||
\(755\) | −9.18121 | − | 27.6901i | −0.334139 | − | 1.00775i | ||||
\(756\) | 18.0628 | + | 42.4940i | 0.656938 | + | 1.54549i | ||||
\(757\) | 9.35259 | 0.339926 | 0.169963 | − | 0.985450i | \(-0.445635\pi\) | ||||
0.169963 | + | 0.985450i | \(0.445635\pi\) | |||||||
\(758\) | −3.21125 | + | 4.81348i | −0.116638 | + | 0.174834i | ||||
\(759\) | 22.8392 | + | 19.0635i | 0.829009 | + | 0.691961i | ||||
\(760\) | −4.22475 | + | 10.0590i | −0.153248 | + | 0.364878i | ||||
\(761\) | 24.6852 | + | 14.2520i | 0.894838 | + | 0.516635i | 0.875522 | − | 0.483178i | \(-0.160518\pi\) |
0.0193163 | + | 0.999813i | \(0.493851\pi\) | |||||||
\(762\) | −19.9265 | + | 5.87982i | −0.721862 | + | 0.213003i | ||||
\(763\) | −42.0166 | + | 24.2583i | −1.52110 | + | 0.878209i | ||||
\(764\) | −13.9331 | + | 18.2122i | −0.504080 | + | 0.658893i | ||||
\(765\) | 19.4564 | + | 0.461419i | 0.703447 | + | 0.0166826i | ||||
\(766\) | −12.6672 | + | 6.25810i | −0.457684 | + | 0.226114i | ||||
\(767\) | 35.7077 | − | 20.6159i | 1.28933 | − | 0.744396i | ||||
\(768\) | −17.6354 | + | 21.3774i | −0.636363 | + | 0.771390i | ||||
\(769\) | 10.8746 | − | 18.8354i | 0.392149 | − | 0.679221i | −0.600584 | − | 0.799562i | \(-0.705065\pi\) |
0.992733 | + | 0.120340i | \(0.0383986\pi\) | |||||||
\(770\) | 12.2119 | + | 46.7645i | 0.440088 | + | 1.68527i | ||||
\(771\) | −2.15375 | + | 0.790240i | −0.0775655 | + | 0.0284598i | ||||
\(772\) | −2.28787 | + | 17.5737i | −0.0823422 | + | 0.632490i | ||||
\(773\) | 6.91973i | 0.248885i | 0.992227 | + | 0.124443i | \(0.0397143\pi\) | ||||
−0.992227 | + | 0.124443i | \(0.960286\pi\) | |||||||
\(774\) | 10.1156 | − | 1.16840i | 0.363597 | − | 0.0419973i | ||||
\(775\) | 6.50869 | + | 8.73592i | 0.233799 | + | 0.313804i | ||||
\(776\) | 29.8313 | − | 10.1983i | 1.07088 | − | 0.366097i | ||||
\(777\) | 3.98052 | − | 22.9225i | 0.142800 | − | 0.822339i | ||||
\(778\) | 43.8465 | + | 2.84214i | 1.57197 | + | 0.101896i | ||||
\(779\) | 3.34892 | + | 1.93350i | 0.119987 | + | 0.0692747i | ||||
\(780\) | −42.7648 | + | 25.7722i | −1.53123 | + | 0.922792i | ||||
\(781\) | −2.00051 | + | 1.15500i | −0.0715840 | + | 0.0413290i | ||||
\(782\) | −18.3668 | + | 9.07393i | −0.656794 | + | 0.324483i | ||||
\(783\) | −5.44423 | + | 0.0424027i | −0.194561 | + | 0.00151535i | ||||
\(784\) | −13.3320 | − | 49.1883i | −0.476141 | − | 1.75673i | ||||
\(785\) | −10.0275 | − | 8.92040i | −0.357897 | − | 0.318383i | ||||
\(786\) | 10.8892 | + | 2.62633i | 0.388405 | + | 0.0936780i | ||||
\(787\) | −8.18337 | − | 4.72467i | −0.291706 | − | 0.168416i | 0.347005 | − | 0.937863i | \(-0.387199\pi\) |
−0.638711 | + | 0.769447i | \(0.720532\pi\) | |||||||
\(788\) | −21.7124 | + | 9.03025i | −0.773474 | + | 0.321689i | ||||
\(789\) | 4.39158 | + | 0.762603i | 0.156344 | + | 0.0271494i | ||||
\(790\) | −33.1497 | − | 9.10904i | −1.17941 | − | 0.324085i | ||||
\(791\) | 59.7035 | 2.12281 | ||||||||
\(792\) | −14.2276 | − | 25.4872i | −0.505554 | − | 0.905648i | ||||
\(793\) | − | 22.6951i | − | 0.805928i | ||||||
\(794\) | −14.9626 | + | 22.4281i | −0.531003 | + | 0.795942i | ||||
\(795\) | 3.34243 | + | 4.20311i | 0.118544 | + | 0.149069i | ||||
\(796\) | −45.4823 | + | 18.9162i | −1.61208 | + | 0.670466i | ||||
\(797\) | −7.63414 | − | 4.40757i | −0.270415 | − | 0.156124i | 0.358661 | − | 0.933468i | \(-0.383233\pi\) |
−0.629076 | + | 0.777344i | \(0.716567\pi\) | |||||||
\(798\) | 13.6047 | + | 12.9375i | 0.481602 | + | 0.457982i | ||||
\(799\) | −1.31566 | + | 0.759599i | −0.0465449 | + | 0.0268727i | ||||
\(800\) | −5.81097 | + | 27.6809i | −0.205449 | + | 0.978668i | ||||
\(801\) | 7.18083 | − | 1.30465i | 0.253722 | − | 0.0460976i | ||||
\(802\) | 15.3271 | − | 7.57221i | 0.541218 | − | 0.267384i | ||||
\(803\) | 19.8703 | + | 34.4164i | 0.701208 | + | 1.21453i | ||||
\(804\) | 36.9583 | − | 34.1415i | 1.30342 | − | 1.20408i | ||||
\(805\) | −48.5825 | − | 10.0221i | −1.71231 | − | 0.353232i | ||||
\(806\) | −1.28476 | + | 19.8203i | −0.0452537 | + | 0.698141i | ||||
\(807\) | −33.5361 | − | 27.9921i | −1.18053 | − | 0.985367i | ||||
\(808\) | 7.62937 | + | 22.3169i | 0.268400 | + | 0.785106i | ||||
\(809\) | 36.7458i | 1.29191i | 0.763375 | + | 0.645956i | \(0.223541\pi\) | ||||
−0.763375 | + | 0.645956i | \(0.776459\pi\) | |||||||
\(810\) | −25.8421 | − | 11.9242i | −0.907999 | − | 0.418973i | ||||
\(811\) | −40.2672 | −1.41397 | −0.706986 | − | 0.707228i | \(-0.749946\pi\) | ||||
−0.706986 | + | 0.707228i | \(0.749946\pi\) | |||||||
\(812\) | 9.23273 | + | 1.20199i | 0.324005 | + | 0.0421815i | ||||
\(813\) | 26.2950 | − | 31.5028i | 0.922204 | − | 1.10485i | ||||
\(814\) | −0.951358 | + | 14.6769i | −0.0333451 | + | 0.514424i | ||||
\(815\) | 3.36534 | + | 0.694235i | 0.117883 | + | 0.0243180i | ||||
\(816\) | 20.0137 | − | 1.86148i | 0.700621 | − | 0.0651648i | ||||
\(817\) | 3.58563 | − | 2.07016i | 0.125445 | − | 0.0724258i | ||||
\(818\) | −21.4149 | − | 43.3463i | −0.748753 | − | 1.51557i | ||||
\(819\) | 15.3589 | + | 84.5356i | 0.536683 | + | 2.95391i | ||||
\(820\) | 9.47468 | + | 3.27600i | 0.330870 | + | 0.114403i | ||||
\(821\) | 13.0871 | + | 22.6675i | 0.456743 | + | 0.791102i | 0.998787 | − | 0.0492486i | \(-0.0156827\pi\) |
−0.542044 | + | 0.840350i | \(0.682349\pi\) | |||||||
\(822\) | −30.1025 | − | 28.6261i | −1.04994 | − | 0.998452i | ||||
\(823\) | 11.6368 | − | 20.1555i | 0.405633 | − | 0.702577i | −0.588762 | − | 0.808306i | \(-0.700385\pi\) |
0.994395 | + | 0.105730i | \(0.0337179\pi\) | |||||||
\(824\) | −9.69922 | + | 11.1082i | −0.337888 | + | 0.386971i | ||||
\(825\) | −24.9387 | − | 16.2967i | −0.868255 | − | 0.567377i | ||||
\(826\) | −33.4345 | − | 22.3054i | −1.16334 | − | 0.776105i | ||||
\(827\) | −24.4553 | −0.850393 | −0.425197 | − | 0.905101i | \(-0.639795\pi\) | ||||
−0.425197 | + | 0.905101i | \(0.639795\pi\) | |||||||
\(828\) | 29.9203 | − | 1.50523i | 1.03980 | − | 0.0523105i | ||||
\(829\) | 17.8015i | 0.618271i | 0.951018 | + | 0.309136i | \(0.100040\pi\) | ||||
−0.951018 | + | 0.309136i | \(0.899960\pi\) | |||||||
\(830\) | −1.63932 | + | 5.96583i | −0.0569016 | + | 0.207077i | ||||
\(831\) | −3.21887 | + | 18.5364i | −0.111661 | + | 0.643020i | ||||
\(832\) | −40.7754 | + | 31.5690i | −1.41363 | + | 1.09446i | ||||
\(833\) | −18.4818 | + | 32.0113i | −0.640355 | + | 1.10913i | ||||
\(834\) | 7.50431 | − | 31.1141i | 0.259853 | − | 1.07739i | ||||
\(835\) | 16.0664 | − | 18.0604i | 0.556001 | − | 0.625007i | ||||
\(836\) | −9.42620 | − | 7.21143i | −0.326012 | − | 0.249413i | ||||
\(837\) | −9.76022 | + | 5.73688i | −0.337363 | + | 0.198296i | ||||
\(838\) | 5.23420 | − | 2.58591i | 0.180813 | − | 0.0893288i | ||||
\(839\) | 6.54732 | + | 11.3403i | 0.226039 | + | 0.391511i | 0.956631 | − | 0.291304i | \(-0.0940891\pi\) |
−0.730592 | + | 0.682814i | \(0.760756\pi\) | |||||||
\(840\) | 40.9879 | + | 26.2466i | 1.41422 | + | 0.905595i | ||||
\(841\) | 13.9511 | − | 24.1640i | 0.481072 | − | 0.833241i | ||||
\(842\) | 0.898565 | − | 13.8624i | 0.0309666 | − | 0.477730i | ||||
\(843\) | −42.7376 | − | 7.42145i | −1.47196 | − | 0.255608i | ||||
\(844\) | 36.1854 | + | 4.71089i | 1.24555 | + | 0.162155i | ||||
\(845\) | −60.5969 | + | 20.0921i | −2.08460 | + | 0.691189i | ||||
\(846\) | 2.20696 | − | 0.254915i | 0.0758769 | − | 0.00876417i | ||||
\(847\) | −3.70383 | −0.127265 | ||||||||
\(848\) | 3.93304 | + | 3.91045i | 0.135061 | + | 0.134285i | ||||
\(849\) | −15.9470 | − | 43.4627i | −0.547301 | − | 1.49164i | ||||
\(850\) | 17.2090 | − | 11.1668i | 0.590265 | − | 0.383018i | ||||
\(851\) | −13.0726 | − | 7.54750i | −0.448125 | − | 0.258725i | ||||
\(852\) | −0.690534 | + | 2.22132i | −0.0236573 | + | 0.0761011i | ||||
\(853\) | 23.8247 | + | 41.2656i | 0.815743 | + | 1.41291i | 0.908793 | + | 0.417246i | \(0.137005\pi\) |
−0.0930509 | + | 0.995661i | \(0.529662\pi\) | |||||||
\(854\) | −19.8343 | + | 9.79898i | −0.678717 | + | 0.335314i | ||||
\(855\) | −11.5687 | − | 0.274359i | −0.395643 | − | 0.00938288i | ||||
\(856\) | −19.8630 | − | 3.90641i | −0.678905 | − | 0.133518i | ||||
\(857\) | −0.880471 | − | 1.52502i | −0.0300763 | − | 0.0520937i | 0.850595 | − | 0.525821i | \(-0.176242\pi\) |
−0.880672 | + | 0.473727i | \(0.842908\pi\) | |||||||
\(858\) | −15.3719 | − | 52.0948i | −0.524787 | − | 1.77849i | ||||
\(859\) | −4.91608 | + | 8.51489i | −0.167734 | + | 0.290524i | −0.937623 | − | 0.347654i | \(-0.886978\pi\) |
0.769889 | + | 0.638178i | \(0.220312\pi\) | |||||||
\(860\) | 8.10982 | − | 7.03151i | 0.276542 | − | 0.239772i | ||||
\(861\) | 11.0544 | − | 13.2438i | 0.376732 | − | 0.451347i | ||||
\(862\) | 5.10289 | − | 7.64893i | 0.173805 | − | 0.260524i | ||||
\(863\) | 51.8077i | 1.76355i | 0.471667 | + | 0.881777i | \(0.343652\pi\) | ||||
−0.471667 | + | 0.881777i | \(0.656348\pi\) | |||||||
\(864\) | −27.9397 | − | 9.13074i | −0.950530 | − | 0.310634i | ||||
\(865\) | 15.6447 | + | 47.1837i | 0.531935 | + | 1.60429i | ||||
\(866\) | 5.76240 | + | 3.84431i | 0.195814 | + | 0.130635i | ||||
\(867\) | 11.4130 | + | 9.52624i | 0.387605 | + | 0.323528i | ||||
\(868\) | 17.8766 | − | 7.43492i | 0.606772 | − | 0.252358i | ||||
\(869\) | 18.6989 | − | 32.3874i | 0.634316 | − | 1.09867i | ||||
\(870\) | −4.71341 | + | 3.27395i | −0.159799 | + | 0.110997i | ||||
\(871\) | 81.0817 | − | 46.8125i | 2.74735 | − | 1.58618i | ||||
\(872\) | 5.95999 | − | 30.3049i | 0.201831 | − | 1.02625i | ||||
\(873\) | 21.6267 | + | 25.5036i | 0.731954 | + | 0.863167i | ||||
\(874\) | 10.9208 | − | 5.39535i | 0.369403 | − | 0.182500i | ||||
\(875\) | 49.4883 | + | 4.30192i | 1.67301 | + | 0.145431i | ||||
\(876\) | 38.2151 | + | 11.8798i | 1.29117 | + | 0.401381i | ||||
\(877\) | −16.5425 | + | 28.6524i | −0.558600 | + | 0.967523i | 0.439014 | + | 0.898480i | \(0.355328\pi\) |
−0.997614 | + | 0.0690427i | \(0.978006\pi\) | |||||||
\(878\) | −0.571460 | + | 8.81607i | −0.0192858 | + | 0.297528i | ||||
\(879\) | 10.4511 | + | 28.4839i | 0.352507 | + | 0.960738i | ||||
\(880\) | −27.5378 | − | 13.7244i | −0.928299 | − | 0.462650i | ||||
\(881\) | 41.2175i | 1.38865i | 0.719660 | + | 0.694327i | \(0.244298\pi\) | ||||
−0.719660 | + | 0.694327i | \(0.755702\pi\) | |||||||
\(882\) | 43.4022 | − | 32.2201i | 1.46143 | − | 1.08491i | ||||
\(883\) | 11.3770i | 0.382867i | 0.981506 | + | 0.191433i | \(0.0613136\pi\) | ||||
−0.981506 | + | 0.191433i | \(0.938686\pi\) | |||||||
\(884\) | 37.0891 | + | 4.82854i | 1.24744 | + | 0.162401i | ||||
\(885\) | 24.5019 | − | 3.65865i | 0.823623 | − | 0.122984i | ||||
\(886\) | −19.7815 | − | 1.28224i | −0.664571 | − | 0.0430777i | ||||
\(887\) | 33.1810 | + | 19.1571i | 1.11411 | + | 0.643232i | 0.939891 | − | 0.341475i | \(-0.110926\pi\) |
0.174220 | + | 0.984707i | \(0.444260\pi\) | |||||||
\(888\) | 9.32520 | + | 11.5064i | 0.312933 | + | 0.386130i | ||||
\(889\) | 18.8424 | + | 32.6360i | 0.631954 | + | 1.09458i | ||||
\(890\) | 5.47442 | − | 5.40515i | 0.183503 | − | 0.181181i | ||||
\(891\) | 19.6534 | − | 23.9221i | 0.658413 | − | 0.801422i | ||||
\(892\) | 1.18687 | − | 1.55139i | 0.0397395 | − | 0.0519443i | ||||
\(893\) | 0.782292 | − | 0.451657i | 0.0261784 | − | 0.0151141i | ||||
\(894\) | 5.08050 | − | 21.0646i | 0.169917 | − | 0.704506i | ||||
\(895\) | 42.9520 | + | 8.86056i | 1.43573 | + | 0.296176i | ||||
\(896\) | 45.1950 | + | 22.0052i | 1.50986 | + | 0.735141i | ||||
\(897\) | 54.9238 | + | 9.53760i | 1.83385 | + | 0.318451i | ||||
\(898\) | −32.3580 | − | 21.5872i | −1.07980 | − | 0.720375i | ||||
\(899\) | 2.28289i | 0.0761387i | ||||||||
\(900\) | −29.5827 | + | 4.98651i | −0.986089 | + | 0.166217i | ||||
\(901\) | − | 4.02267i | − | 0.134015i | ||||||
\(902\) | −6.05224 | + | 9.07195i | −0.201518 | + | 0.302063i | ||||
\(903\) | −6.36227 | − | 17.3400i | −0.211723 | − | 0.577039i | ||||
\(904\) | −24.9979 | + | 28.6292i | −0.831418 | + | 0.952192i | ||||
\(905\) | −31.2946 | − | 6.45576i | −1.04027 | − | 0.214597i | ||||
\(906\) | 22.0220 | − | 23.1577i | 0.731631 | − | 0.769363i | ||||
\(907\) | 38.5617 | − | 22.2636i | 1.28042 | − | 0.739251i | 0.303496 | − | 0.952833i | \(-0.401846\pi\) |
0.976925 | + | 0.213581i | \(0.0685128\pi\) | |||||||
\(908\) | 16.3863 | − | 21.4188i | 0.543798 | − | 0.710809i | ||||
\(909\) | −19.0793 | + | 16.1790i | −0.632822 | + | 0.536625i | ||||
\(910\) | 63.6316 | + | 64.4470i | 2.10937 | + | 2.13640i | ||||
\(911\) | −22.2854 | − | 38.5995i | −0.738349 | − | 1.27886i | −0.953238 | − | 0.302220i | \(-0.902272\pi\) |
0.214889 | − | 0.976639i | \(-0.431061\pi\) | |||||||
\(912\) | −11.9001 | + | 1.10683i | −0.394053 | + | 0.0366509i | ||||
\(913\) | −5.82864 | − | 3.36516i | −0.192900 | − | 0.111371i | ||||
\(914\) | 2.60054 | − | 40.1192i | 0.0860181 | − | 1.32703i | ||||
\(915\) | 4.99926 | − | 12.6866i | 0.165270 | − | 0.419407i | ||||
\(916\) | 2.41335 | − | 18.5375i | 0.0797393 | − | 0.612496i | ||||
\(917\) | − | 20.3180i | − | 0.670958i | ||||||
\(918\) | 9.59167 | + | 19.0399i | 0.316572 | + | 0.628409i | ||||
\(919\) | 6.48928i | 0.214062i | 0.994256 | + | 0.107031i | \(0.0341344\pi\) | ||||
−0.994256 | + | 0.107031i | \(0.965866\pi\) | |||||||
\(920\) | 25.1474 | − | 19.1002i | 0.829085 | − | 0.629714i | ||||
\(921\) | 24.2570 | − | 29.0612i | 0.799294 | − | 0.957600i | ||||
\(922\) | 41.6370 | + | 2.69892i | 1.37124 | + | 0.0888843i | ||||
\(923\) | −2.16426 | + | 3.74861i | −0.0712376 | + | 0.123387i | ||||
\(924\) | −38.8910 | + | 35.9269i | −1.27942 | + | 1.18191i | ||||
\(925\) | 13.8821 | + | 5.98204i | 0.456440 | + | 0.196688i | ||||
\(926\) | 17.7923 | + | 36.0137i | 0.584690 | + | 1.18348i | ||||
\(927\) | −14.7256 | − | 5.27324i | −0.483651 | − | 0.173196i | ||||
\(928\) | −4.44214 | + | 3.92403i | −0.145820 | + | 0.128813i | ||||
\(929\) | −1.60961 | + | 0.929307i | −0.0528095 | + | 0.0304896i | −0.526172 | − | 0.850378i | \(-0.676373\pi\) |
0.473363 | + | 0.880868i | \(0.343040\pi\) | |||||||
\(930\) | −5.08418 | + | 10.7966i | −0.166717 | + | 0.354034i | ||||
\(931\) | 10.9892 | − | 19.0339i | 0.360157 | − | 0.623811i | ||||
\(932\) | −13.2924 | − | 31.9604i | −0.435407 | − | 1.04690i | ||||
\(933\) | 1.21919 | − | 0.447338i | 0.0399146 | − | 0.0146452i | ||||
\(934\) | 14.7708 | − | 22.1405i | 0.483314 | − | 0.724460i | ||||
\(935\) | 7.02340 | + | 21.1823i | 0.229690 | + | 0.692734i | ||||
\(936\) | −46.9675 | − | 28.0302i | −1.53518 | − | 0.916195i | ||||
\(937\) | − | 16.0395i | − | 0.523987i | −0.965070 | − | 0.261993i | \(-0.915620\pi\) | ||
0.965070 | − | 0.261993i | \(-0.0843799\pi\) | |||||||
\(938\) | −75.9199 | − | 50.6490i | −2.47887 | − | 1.65375i | ||||
\(939\) | 27.1936 | + | 4.72220i | 0.887428 | + | 0.154103i | ||||
\(940\) | 1.76936 | − | 1.53410i | 0.0577100 | − | 0.0500367i | ||||
\(941\) | −6.86599 | + | 11.8922i | −0.223825 | + | 0.387676i | −0.955966 | − | 0.293477i | \(-0.905188\pi\) |
0.732141 | + | 0.681153i | \(0.238521\pi\) | |||||||
\(942\) | 3.44709 | − | 14.2922i | 0.112312 | − | 0.465665i | ||||
\(943\) | −5.59635 | − | 9.69316i | −0.182242 | − | 0.315653i | ||||
\(944\) | 24.6950 | − | 6.69332i | 0.803755 | − | 0.217849i | ||||
\(945\) | −10.0357 | + | 50.6388i | −0.326463 | + | 1.64728i | ||||
\(946\) | 5.17185 | + | 10.4685i | 0.168151 | + | 0.340359i | ||||
\(947\) | 2.83989 | + | 4.91884i | 0.0922841 | + | 0.159841i | 0.908472 | − | 0.417946i | \(-0.137250\pi\) |
−0.816188 | + | 0.577787i | \(0.803917\pi\) | |||||||
\(948\) | −8.29940 | − | 36.7339i | −0.269552 | − | 1.19306i | ||||
\(949\) | 64.4903 | + | 37.2335i | 2.09344 | + | 1.20865i | ||||
\(950\) | −10.2325 | + | 6.63976i | −0.331985 | + | 0.215422i | ||||
\(951\) | −46.1895 | − | 8.02088i | −1.49780 | − | 0.260095i | ||||
\(952\) | −11.7939 | − | 34.4987i | −0.382243 | − | 1.11811i | ||||
\(953\) | −2.21764 | −0.0718365 | −0.0359183 | − | 0.999355i | \(-0.511436\pi\) | ||||
−0.0359183 | + | 0.999355i | \(0.511436\pi\) | |||||||
\(954\) | −2.33734 | + | 5.39837i | −0.0756741 | + | 0.174779i | ||||
\(955\) | −24.3344 | + | 8.06856i | −0.787444 | + | 0.261093i | ||||
\(956\) | 44.4986 | + | 5.79316i | 1.43919 | + | 0.187364i | ||||
\(957\) | −2.15042 | − | 5.86086i | −0.0695134 | − | 0.189455i | ||||
\(958\) | −44.5574 | − | 2.88822i | −1.43958 | − | 0.0933142i | ||||
\(959\) | −37.6746 | + | 65.2543i | −1.21658 | + | 2.10717i | ||||
\(960\) | −29.7475 | + | 8.66514i | −0.960097 | + | 0.279666i | ||||
\(961\) | −13.1264 | − | 22.7356i | −0.423433 | − | 0.733407i | ||||
\(962\) | 12.2071 | + | 24.7087i | 0.393573 | + | 0.796640i | ||||
\(963\) | −3.83823 | − | 21.1257i | −0.123685 | − | 0.680765i | ||||
\(964\) | 15.2819 | − | 19.9753i | 0.492198 | − | 0.643362i | ||||
\(965\) | −13.1693 | + | 14.8038i | −0.423936 | + | 0.476551i | ||||
\(966\) | −15.3789 | − | 52.1185i | −0.494807 | − | 1.67689i | ||||
\(967\) | 5.83420 | − | 10.1051i | 0.187615 | − | 0.324959i | −0.756840 | − | 0.653601i | \(-0.773258\pi\) |
0.944455 | + | 0.328642i | \(0.106591\pi\) | |||||||
\(968\) | 1.55080 | − | 1.77607i | 0.0498445 | − | 0.0570851i | ||||
\(969\) | 6.65485 | + | 5.55470i | 0.213784 | + | 0.178443i | ||||
\(970\) | 33.9877 | + | 9.33931i | 1.09128 | + | 0.299867i | ||||
\(971\) | 7.63561i | 0.245038i | 0.992466 | + | 0.122519i | \(0.0390973\pi\) | ||||
−0.992466 | + | 0.122519i | \(0.960903\pi\) | |||||||
\(972\) | −1.80893 | − | 31.1244i | −0.0580216 | − | 0.998315i | ||||
\(973\) | −58.0553 | −1.86117 | ||||||||
\(974\) | 20.4472 | − | 30.6491i | 0.655169 | − | 0.982060i | ||||
\(975\) | −55.7387 | − | 3.08050i | −1.78507 | − | 0.0986549i | ||||
\(976\) | 3.60582 | − | 13.6139i | 0.115420 | − | 0.435769i | ||||
\(977\) | 4.06102 | − | 7.03389i | 0.129923 | − | 0.225034i | −0.793723 | − | 0.608279i | \(-0.791860\pi\) |
0.923647 | + | 0.383245i | \(0.125193\pi\) | |||||||
\(978\) | 1.06530 | + | 3.61027i | 0.0340646 | + | 0.115444i | ||||
\(979\) | 4.18441 | + | 7.24761i | 0.133734 | + | 0.231635i | ||||
\(980\) | 18.6195 | − | 53.8503i | 0.594777 | − | 1.72018i | ||||
\(981\) | 32.2313 | − | 5.85596i | 1.02907 | − | 0.186966i | ||||
\(982\) | −23.3776 | + | 11.5495i | −0.746008 | + | 0.368559i | ||||
\(983\) | 21.3682 | − | 12.3369i | 0.681540 | − | 0.393487i | −0.118895 | − | 0.992907i | \(-0.537935\pi\) |
0.800435 | + | 0.599420i | \(0.204602\pi\) | |||||||
\(984\) | 1.72221 | + | 10.8460i | 0.0549021 | + | 0.345758i | ||||
\(985\) | −25.7489 | − | 5.31174i | −0.820428 | − | 0.169246i | ||||
\(986\) | 4.28993 | + | 0.278074i | 0.136619 | + | 0.00885569i | ||||
\(987\) | −1.38808 | − | 3.78314i | −0.0441832 | − | 0.120419i | ||||
\(988\) | −22.0532 | − | 2.87105i | −0.701604 | − | 0.0913401i | ||||
\(989\) | −11.9838 | −0.381063 | ||||||||
\(990\) | 2.88248 | − | 32.5072i | 0.0916113 | − | 1.03315i | ||||
\(991\) | 2.72058i | 0.0864221i | 0.999066 | + | 0.0432111i | \(0.0137588\pi\) | ||||
−0.999066 | + | 0.0432111i | \(0.986241\pi\) | |||||||
\(992\) | −3.91974 | + | 11.6853i | −0.124452 | + | 0.371007i | ||||
\(993\) | −3.27522 | + | 18.8609i | −0.103936 | + | 0.598532i | ||||
\(994\) | 4.21054 | + | 0.272929i | 0.133550 | + | 0.00865677i | ||||
\(995\) | −53.9376 | − | 11.1268i | −1.70994 | − | 0.352743i | ||||
\(996\) | −6.61085 | + | 1.49361i | −0.209473 | + | 0.0473269i | ||||
\(997\) | 20.7291 | + | 35.9039i | 0.656497 | + | 1.13709i | 0.981516 | + | 0.191379i | \(0.0612961\pi\) |
−0.325019 | + | 0.945708i | \(0.605371\pi\) | |||||||
\(998\) | 5.34072 | + | 10.8103i | 0.169057 | + | 0.342193i | ||||
\(999\) | −7.74837 | + | 13.6653i | −0.245147 | + | 0.432350i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 360.2.bd.b.59.20 | yes | 128 | |
5.4 | even | 2 | inner | 360.2.bd.b.59.45 | yes | 128 | |
8.3 | odd | 2 | inner | 360.2.bd.b.59.64 | yes | 128 | |
9.2 | odd | 6 | inner | 360.2.bd.b.299.1 | yes | 128 | |
40.19 | odd | 2 | inner | 360.2.bd.b.59.1 | ✓ | 128 | |
45.29 | odd | 6 | inner | 360.2.bd.b.299.64 | yes | 128 | |
72.11 | even | 6 | inner | 360.2.bd.b.299.45 | yes | 128 | |
360.299 | even | 6 | inner | 360.2.bd.b.299.20 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bd.b.59.1 | ✓ | 128 | 40.19 | odd | 2 | inner | |
360.2.bd.b.59.20 | yes | 128 | 1.1 | even | 1 | trivial | |
360.2.bd.b.59.45 | yes | 128 | 5.4 | even | 2 | inner | |
360.2.bd.b.59.64 | yes | 128 | 8.3 | odd | 2 | inner | |
360.2.bd.b.299.1 | yes | 128 | 9.2 | odd | 6 | inner | |
360.2.bd.b.299.20 | yes | 128 | 360.299 | even | 6 | inner | |
360.2.bd.b.299.45 | yes | 128 | 72.11 | even | 6 | inner | |
360.2.bd.b.299.64 | yes | 128 | 45.29 | odd | 6 | inner |