Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(293,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 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("504.293");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cc (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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 293.5 | ||
Character | \(\chi\) | \(=\) | 504.293 |
Dual form | 504.2.cc.b.461.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38810 | − | 0.270536i | −0.981532 | − | 0.191298i | ||||
\(3\) | −1.21338 | + | 1.23600i | −0.700547 | + | 0.713606i | ||||
\(4\) | 1.85362 | + | 0.751060i | 0.926810 | + | 0.375530i | ||||
\(5\) | 2.17541 | + | 1.25598i | 0.972875 | + | 0.561690i | 0.900111 | − | 0.435660i | \(-0.143485\pi\) |
0.0727633 | + | 0.997349i | \(0.476818\pi\) | |||||||
\(6\) | 2.01867 | − | 1.38743i | 0.824121 | − | 0.566414i | ||||
\(7\) | −2.64254 | − | 0.130417i | −0.998784 | − | 0.0492930i | ||||
\(8\) | −2.36981 | − | 1.54401i | −0.837856 | − | 0.545891i | ||||
\(9\) | −0.0554045 | − | 2.99949i | −0.0184682 | − | 0.999829i | ||||
\(10\) | −2.67990 | − | 2.33194i | −0.847458 | − | 0.737425i | ||||
\(11\) | −2.04252 | − | 3.53776i | −0.615844 | − | 1.06667i | −0.990236 | − | 0.139403i | \(-0.955482\pi\) |
0.374391 | − | 0.927271i | \(-0.377852\pi\) | |||||||
\(12\) | −3.17746 | + | 1.37976i | −0.917255 | + | 0.398301i | ||||
\(13\) | 3.56373 | − | 6.17257i | 0.988402 | − | 1.71196i | 0.362686 | − | 0.931912i | \(-0.381860\pi\) |
0.625716 | − | 0.780051i | \(-0.284807\pi\) | |||||||
\(14\) | 3.63281 | + | 0.895932i | 0.970909 | + | 0.239448i | ||||
\(15\) | −4.19200 | + | 1.16484i | −1.08237 | + | 0.300760i | ||||
\(16\) | 2.87182 | + | 2.78436i | 0.717955 | + | 0.696090i | ||||
\(17\) | −3.33266 | −0.808290 | −0.404145 | − | 0.914695i | \(-0.632431\pi\) | ||||
−0.404145 | + | 0.914695i | \(0.632431\pi\) | |||||||
\(18\) | −0.734563 | + | 4.17857i | −0.173138 | + | 0.984898i | ||||
\(19\) | 2.59916 | 0.596288 | 0.298144 | − | 0.954521i | \(-0.403632\pi\) | ||||
0.298144 | + | 0.954521i | \(0.403632\pi\) | |||||||
\(20\) | 3.08908 | + | 3.96197i | 0.690739 | + | 0.885923i | ||||
\(21\) | 3.36760 | − | 3.10793i | 0.734871 | − | 0.678207i | ||||
\(22\) | 1.87813 | + | 5.46332i | 0.400419 | + | 1.16478i | ||||
\(23\) | −2.33076 | − | 1.34566i | −0.485996 | − | 0.280590i | 0.236916 | − | 0.971530i | \(-0.423863\pi\) |
−0.722912 | + | 0.690940i | \(0.757197\pi\) | |||||||
\(24\) | 4.78390 | − | 1.05562i | 0.976509 | − | 0.215477i | ||||
\(25\) | 0.654951 | + | 1.13441i | 0.130990 | + | 0.226882i | ||||
\(26\) | −6.61671 | + | 7.60400i | −1.29764 | + | 1.49127i | ||||
\(27\) | 3.77460 | + | 3.57105i | 0.726422 | + | 0.687248i | ||||
\(28\) | −4.80031 | − | 2.22645i | −0.907173 | − | 0.420759i | ||||
\(29\) | 2.87189 | + | 4.97425i | 0.533296 | + | 0.923696i | 0.999244 | + | 0.0388834i | \(0.0123801\pi\) |
−0.465948 | + | 0.884812i | \(0.654287\pi\) | |||||||
\(30\) | 6.13403 | − | 0.482820i | 1.11992 | − | 0.0881505i | ||||
\(31\) | 1.03437 | + | 0.597193i | 0.185778 | + | 0.107259i | 0.590005 | − | 0.807400i | \(-0.299126\pi\) |
−0.404226 | + | 0.914659i | \(0.632459\pi\) | |||||||
\(32\) | −3.23309 | − | 4.64189i | −0.571535 | − | 0.820578i | ||||
\(33\) | 6.85104 | + | 1.76809i | 1.19261 | + | 0.307784i | ||||
\(34\) | 4.62606 | + | 0.901606i | 0.793363 | + | 0.154624i | ||||
\(35\) | −5.58481 | − | 3.60267i | −0.944005 | − | 0.608963i | ||||
\(36\) | 2.15010 | − | 5.60153i | 0.358349 | − | 0.933588i | ||||
\(37\) | − | 7.31462i | − | 1.20252i | −0.799055 | − | 0.601258i | \(-0.794666\pi\) | ||
0.799055 | − | 0.601258i | \(-0.205334\pi\) | |||||||
\(38\) | −3.60788 | − | 0.703166i | −0.585276 | − | 0.114069i | ||||
\(39\) | 3.30514 | + | 11.8945i | 0.529245 | + | 1.90464i | ||||
\(40\) | −3.21608 | − | 6.33530i | −0.508507 | − | 1.00170i | ||||
\(41\) | 1.92428 | − | 3.33296i | 0.300523 | − | 0.520521i | −0.675732 | − | 0.737148i | \(-0.736172\pi\) |
0.976254 | + | 0.216627i | \(0.0695056\pi\) | |||||||
\(42\) | −5.51536 | + | 3.40305i | −0.851039 | + | 0.525102i | ||||
\(43\) | 9.12590 | − | 5.26884i | 1.39169 | − | 0.803490i | 0.398184 | − | 0.917306i | \(-0.369641\pi\) |
0.993502 | + | 0.113815i | \(0.0363072\pi\) | |||||||
\(44\) | −1.12900 | − | 8.09172i | −0.170203 | − | 1.21987i | ||||
\(45\) | 3.64676 | − | 6.59472i | 0.543627 | − | 0.983082i | ||||
\(46\) | 2.87126 | + | 2.49846i | 0.423344 | + | 0.368378i | ||||
\(47\) | −2.42213 | − | 4.19526i | −0.353305 | − | 0.611942i | 0.633522 | − | 0.773725i | \(-0.281609\pi\) |
−0.986826 | + | 0.161783i | \(0.948275\pi\) | |||||||
\(48\) | −6.92609 | + | 0.171081i | −0.999695 | + | 0.0246934i | ||||
\(49\) | 6.96598 | + | 0.689264i | 0.995140 | + | 0.0984662i | ||||
\(50\) | −0.602237 | − | 1.75186i | −0.0851691 | − | 0.247750i | ||||
\(51\) | 4.04380 | − | 4.11918i | 0.566245 | − | 0.576801i | ||||
\(52\) | 11.2418 | − | 8.76502i | 1.55895 | − | 1.21549i | ||||
\(53\) | −10.7480 | −1.47635 | −0.738173 | − | 0.674611i | \(-0.764311\pi\) | ||||
−0.738173 | + | 0.674611i | \(0.764311\pi\) | |||||||
\(54\) | −4.27341 | − | 5.97812i | −0.581538 | − | 0.813519i | ||||
\(55\) | − | 10.2614i | − | 1.38365i | ||||||
\(56\) | 6.06095 | + | 4.38918i | 0.809929 | + | 0.586528i | ||||
\(57\) | −3.15378 | + | 3.21257i | −0.417728 | + | 0.425515i | ||||
\(58\) | −2.64074 | − | 7.68169i | −0.346746 | − | 1.00866i | ||||
\(59\) | 3.31183 | + | 1.91208i | 0.431163 | + | 0.248932i | 0.699842 | − | 0.714298i | \(-0.253254\pi\) |
−0.268679 | + | 0.963230i | \(0.586587\pi\) | |||||||
\(60\) | −8.64524 | − | 0.989275i | −1.11610 | − | 0.127715i | ||||
\(61\) | 2.66315 | + | 4.61270i | 0.340981 | + | 0.590596i | 0.984615 | − | 0.174737i | \(-0.0559076\pi\) |
−0.643634 | + | 0.765333i | \(0.722574\pi\) | |||||||
\(62\) | −1.27424 | − | 1.10880i | −0.161829 | − | 0.140817i | ||||
\(63\) | −0.244776 | + | 7.93348i | −0.0308389 | + | 0.999524i | ||||
\(64\) | 3.23204 | + | 7.31805i | 0.404005 | + | 0.914757i | ||||
\(65\) | 15.5052 | − | 8.95193i | 1.92318 | − | 1.11035i | ||||
\(66\) | −9.03157 | − | 4.30773i | −1.11171 | − | 0.530245i | ||||
\(67\) | −0.295540 | − | 0.170630i | −0.0361060 | − | 0.0208458i | 0.481838 | − | 0.876260i | \(-0.339969\pi\) |
−0.517944 | + | 0.855414i | \(0.673303\pi\) | |||||||
\(68\) | −6.17750 | − | 2.50303i | −0.749131 | − | 0.303537i | ||||
\(69\) | 4.49134 | − | 1.24802i | 0.540694 | − | 0.150243i | ||||
\(70\) | 6.77760 | + | 6.51175i | 0.810078 | + | 0.778302i | ||||
\(71\) | − | 8.32016i | − | 0.987421i | −0.869626 | − | 0.493711i | \(-0.835640\pi\) | ||
0.869626 | − | 0.493711i | \(-0.164360\pi\) | |||||||
\(72\) | −4.49995 | + | 7.19378i | −0.530325 | + | 0.847795i | ||||
\(73\) | 4.69448i | 0.549448i | 0.961523 | + | 0.274724i | \(0.0885864\pi\) | ||||
−0.961523 | + | 0.274724i | \(0.911414\pi\) | |||||||
\(74\) | −1.97887 | + | 10.1534i | −0.230039 | + | 1.18031i | ||||
\(75\) | −2.19684 | − | 0.566951i | −0.253669 | − | 0.0654658i | ||||
\(76\) | 4.81786 | + | 1.95212i | 0.552646 | + | 0.223924i | ||||
\(77\) | 4.93606 | + | 9.61503i | 0.562516 | + | 1.09573i | ||||
\(78\) | −1.36996 | − | 17.4048i | −0.155118 | − | 1.97071i | ||||
\(79\) | −3.05771 | − | 5.29612i | −0.344020 | − | 0.595860i | 0.641155 | − | 0.767411i | \(-0.278455\pi\) |
−0.985175 | + | 0.171551i | \(0.945122\pi\) | |||||||
\(80\) | 2.75031 | + | 9.66407i | 0.307494 | + | 1.08048i | ||||
\(81\) | −8.99386 | + | 0.332370i | −0.999318 | + | 0.0369300i | ||||
\(82\) | −3.57278 | + | 4.10588i | −0.394547 | + | 0.453418i | ||||
\(83\) | −6.95648 | + | 4.01632i | −0.763572 | + | 0.440849i | −0.830577 | − | 0.556904i | \(-0.811989\pi\) |
0.0670045 | + | 0.997753i | \(0.478656\pi\) | |||||||
\(84\) | 8.57650 | − | 3.23166i | 0.935773 | − | 0.352603i | ||||
\(85\) | −7.24993 | − | 4.18575i | −0.786365 | − | 0.454008i | ||||
\(86\) | −14.0930 | + | 4.84477i | −1.51969 | + | 0.522425i | ||||
\(87\) | −9.63289 | − | 2.48601i | −1.03275 | − | 0.266529i | ||||
\(88\) | −0.621941 | + | 11.5375i | −0.0662991 | + | 1.22990i | ||||
\(89\) | 2.02849 | 0.215020 | 0.107510 | − | 0.994204i | \(-0.465712\pi\) | ||||
0.107510 | + | 0.994204i | \(0.465712\pi\) | |||||||
\(90\) | −6.84616 | + | 8.16752i | −0.721648 | + | 0.860932i | ||||
\(91\) | −10.2223 | + | 15.8465i | −1.07159 | + | 1.66116i | ||||
\(92\) | −3.30966 | − | 4.24488i | −0.345056 | − | 0.442560i | ||||
\(93\) | −1.99322 | + | 0.553859i | −0.206687 | + | 0.0574325i | ||||
\(94\) | 2.22719 | + | 6.47870i | 0.229717 | + | 0.668227i | ||||
\(95\) | 5.65425 | + | 3.26448i | 0.580114 | + | 0.334929i | ||||
\(96\) | 9.66036 | + | 1.63628i | 0.985957 | + | 0.167002i | ||||
\(97\) | −5.39410 | + | 3.11428i | −0.547688 | + | 0.316208i | −0.748189 | − | 0.663486i | \(-0.769076\pi\) |
0.200501 | + | 0.979693i | \(0.435743\pi\) | |||||||
\(98\) | −9.48298 | − | 2.84131i | −0.957926 | − | 0.287016i | ||||
\(99\) | −10.4983 | + | 6.32254i | −1.05512 | + | 0.635439i | ||||
\(100\) | 0.362022 | + | 2.59467i | 0.0362022 | + | 0.259467i | ||||
\(101\) | −0.0324301 | + | 0.0187235i | −0.00322691 | + | 0.00186306i | −0.501613 | − | 0.865092i | \(-0.667260\pi\) |
0.498386 | + | 0.866955i | \(0.333926\pi\) | |||||||
\(102\) | −6.72757 | + | 4.62383i | −0.666128 | + | 0.457827i | ||||
\(103\) | −13.0957 | − | 7.56080i | −1.29036 | − | 0.744988i | −0.311639 | − | 0.950200i | \(-0.600878\pi\) |
−0.978717 | + | 0.205213i | \(0.934211\pi\) | |||||||
\(104\) | −17.9759 | + | 9.12539i | −1.76268 | + | 0.894818i | ||||
\(105\) | 11.2294 | − | 2.53142i | 1.09588 | − | 0.247041i | ||||
\(106\) | 14.9192 | + | 2.90771i | 1.44908 | + | 0.282422i | ||||
\(107\) | 19.4573 | 1.88101 | 0.940503 | − | 0.339785i | \(-0.110354\pi\) | ||||
0.940503 | + | 0.339785i | \(0.110354\pi\) | |||||||
\(108\) | 4.31461 | + | 9.45432i | 0.415174 | + | 0.909742i | ||||
\(109\) | − | 7.56340i | − | 0.724442i | −0.932092 | − | 0.362221i | \(-0.882018\pi\) | ||
0.932092 | − | 0.362221i | \(-0.117982\pi\) | |||||||
\(110\) | −2.77609 | + | 14.2439i | −0.264690 | + | 1.35810i | ||||
\(111\) | 9.04089 | + | 8.87543i | 0.858123 | + | 0.842419i | ||||
\(112\) | −7.22575 | − | 7.73230i | −0.682769 | − | 0.730634i | ||||
\(113\) | 8.46746 | + | 4.88869i | 0.796551 | + | 0.459889i | 0.842264 | − | 0.539065i | \(-0.181222\pi\) |
−0.0457124 | + | 0.998955i | \(0.514556\pi\) | |||||||
\(114\) | 5.24686 | − | 3.60614i | 0.491413 | − | 0.337746i | ||||
\(115\) | −3.38024 | − | 5.85474i | −0.315209 | − | 0.545958i | ||||
\(116\) | 1.58743 | + | 11.3773i | 0.147389 | + | 1.05636i | ||||
\(117\) | −18.7120 | − | 10.3474i | −1.72992 | − | 0.956617i | ||||
\(118\) | −4.07985 | − | 3.55013i | −0.375580 | − | 0.326816i | ||||
\(119\) | 8.80668 | + | 0.434637i | 0.807307 | + | 0.0398431i | ||||
\(120\) | 11.7328 | + | 3.71206i | 1.07105 | + | 0.338863i | ||||
\(121\) | −2.84382 | + | 4.92563i | −0.258529 | + | 0.447785i | ||||
\(122\) | −2.44880 | − | 7.12335i | −0.221704 | − | 0.644918i | ||||
\(123\) | 1.78465 | + | 6.42257i | 0.160917 | + | 0.579104i | ||||
\(124\) | 1.46880 | + | 1.88384i | 0.131902 | + | 0.169174i | ||||
\(125\) | − | 9.26935i | − | 0.829076i | ||||||
\(126\) | 2.48606 | − | 10.9462i | 0.221476 | − | 0.975166i | ||||
\(127\) | 7.11318 | 0.631192 | 0.315596 | − | 0.948894i | \(-0.397796\pi\) | ||||
0.315596 | + | 0.948894i | \(0.397796\pi\) | |||||||
\(128\) | −2.50659 | − | 11.0325i | −0.221553 | − | 0.975148i | ||||
\(129\) | −4.56091 | + | 17.6727i | −0.401565 | + | 1.55600i | ||||
\(130\) | −23.9445 | + | 8.23142i | −2.10007 | + | 0.721943i | ||||
\(131\) | 4.43629 | + | 2.56129i | 0.387600 | + | 0.223781i | 0.681120 | − | 0.732172i | \(-0.261493\pi\) |
−0.293520 | + | 0.955953i | \(0.594827\pi\) | |||||||
\(132\) | 11.3713 | + | 8.42290i | 0.989744 | + | 0.733120i | ||||
\(133\) | −6.86837 | − | 0.338975i | −0.595563 | − | 0.0293929i | ||||
\(134\) | 0.364076 | + | 0.316805i | 0.0314514 | + | 0.0273678i | ||||
\(135\) | 3.72617 | + | 12.5093i | 0.320698 | + | 1.07663i | ||||
\(136\) | 7.89780 | + | 5.14568i | 0.677231 | + | 0.441239i | ||||
\(137\) | 1.84435 | − | 1.06484i | 0.157574 | − | 0.0909753i | −0.419140 | − | 0.907922i | \(-0.637668\pi\) |
0.576713 | + | 0.816946i | \(0.304335\pi\) | |||||||
\(138\) | −6.57204 | + | 0.517297i | −0.559450 | + | 0.0440352i | ||||
\(139\) | 0.458749 | − | 0.794577i | 0.0389106 | − | 0.0673952i | −0.845914 | − | 0.533319i | \(-0.820945\pi\) |
0.884825 | + | 0.465924i | \(0.154278\pi\) | |||||||
\(140\) | −7.64629 | − | 10.8725i | −0.646230 | − | 0.918895i | ||||
\(141\) | 8.12433 | + | 2.09669i | 0.684192 | + | 0.176573i | ||||
\(142\) | −2.25090 | + | 11.5492i | −0.188892 | + | 0.969186i | ||||
\(143\) | −29.1161 | −2.43481 | ||||||||
\(144\) | 8.19254 | − | 8.76825i | 0.682712 | − | 0.730688i | ||||
\(145\) | 14.4281i | 1.19819i | ||||||||
\(146\) | 1.27003 | − | 6.51639i | 0.105108 | − | 0.539301i | ||||
\(147\) | −9.30434 | + | 7.77363i | −0.767409 | + | 0.641158i | ||||
\(148\) | 5.49372 | − | 13.5585i | 0.451581 | − | 1.11450i | ||||
\(149\) | 11.4592 | − | 19.8479i | 0.938775 | − | 1.62601i | 0.171015 | − | 0.985268i | \(-0.445295\pi\) |
0.767760 | − | 0.640738i | \(-0.221371\pi\) | |||||||
\(150\) | 2.89604 | + | 1.38131i | 0.236461 | + | 0.112783i | ||||
\(151\) | −1.27819 | − | 2.21389i | −0.104018 | − | 0.180164i | 0.809319 | − | 0.587370i | \(-0.199837\pi\) |
−0.913336 | + | 0.407206i | \(0.866503\pi\) | |||||||
\(152\) | −6.15953 | − | 4.01314i | −0.499604 | − | 0.325509i | ||||
\(153\) | 0.184645 | + | 9.99629i | 0.0149276 | + | 0.808152i | ||||
\(154\) | −4.25051 | − | 14.6820i | −0.342516 | − | 1.18311i | ||||
\(155\) | 1.50012 | + | 2.59829i | 0.120493 | + | 0.208699i | ||||
\(156\) | −2.80699 | + | 24.5302i | −0.224739 | + | 1.96399i | ||||
\(157\) | −6.26497 | + | 10.8513i | −0.499999 | + | 0.866024i | −1.00000 | 6.70514e-7i | \(-1.00000\pi\) | |
0.500001 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(158\) | 2.81161 | + | 8.17874i | 0.223680 | + | 0.650665i | ||||
\(159\) | 13.0414 | − | 13.2845i | 1.03425 | − | 1.05353i | ||||
\(160\) | −1.20321 | − | 14.1587i | −0.0951221 | − | 1.11934i | ||||
\(161\) | 5.98360 | + | 3.85993i | 0.471574 | + | 0.304205i | ||||
\(162\) | 12.5743 | + | 1.97180i | 0.987927 | + | 0.154919i | ||||
\(163\) | 8.56795i | 0.671094i | 0.942023 | + | 0.335547i | \(0.108921\pi\) | ||||
−0.942023 | + | 0.335547i | \(0.891079\pi\) | |||||||
\(164\) | 6.07014 | − | 4.73279i | 0.473998 | − | 0.369569i | ||||
\(165\) | 12.6832 | + | 12.4511i | 0.987384 | + | 0.969314i | ||||
\(166\) | 10.7428 | − | 3.69306i | 0.833804 | − | 0.286637i | ||||
\(167\) | 3.59473 | − | 6.22625i | 0.278168 | − | 0.481802i | −0.692761 | − | 0.721167i | \(-0.743606\pi\) |
0.970930 | + | 0.239365i | \(0.0769394\pi\) | |||||||
\(168\) | −12.7793 | + | 2.16560i | −0.985943 | + | 0.167080i | ||||
\(169\) | −18.9004 | − | 32.7364i | −1.45388 | − | 2.51819i | ||||
\(170\) | 8.93120 | + | 7.77158i | 0.684992 | + | 0.596053i | ||||
\(171\) | −0.144005 | − | 7.79615i | −0.0110123 | − | 0.596187i | ||||
\(172\) | 20.8732 | − | 2.91233i | 1.59156 | − | 0.222063i | ||||
\(173\) | −2.53004 | + | 1.46072i | −0.192355 | + | 0.111056i | −0.593085 | − | 0.805140i | \(-0.702090\pi\) |
0.400729 | + | 0.916196i | \(0.368757\pi\) | |||||||
\(174\) | 12.6988 | + | 6.05687i | 0.962695 | + | 0.459170i | ||||
\(175\) | −1.58279 | − | 3.08313i | −0.119647 | − | 0.233063i | ||||
\(176\) | 3.98463 | − | 15.8469i | 0.300352 | − | 1.19451i | ||||
\(177\) | −6.38186 | + | 1.77334i | −0.479690 | + | 0.133292i | ||||
\(178\) | −2.81574 | − | 0.548781i | −0.211049 | − | 0.0411329i | ||||
\(179\) | −3.19089 | −0.238499 | −0.119249 | − | 0.992864i | \(-0.538049\pi\) | ||||
−0.119249 | + | 0.992864i | \(0.538049\pi\) | |||||||
\(180\) | 11.7127 | − | 9.48517i | 0.873015 | − | 0.706983i | ||||
\(181\) | −23.4653 | −1.74417 | −0.872083 | − | 0.489359i | \(-0.837231\pi\) | ||||
−0.872083 | + | 0.489359i | \(0.837231\pi\) | |||||||
\(182\) | 18.4766 | − | 19.2309i | 1.36957 | − | 1.42549i | ||||
\(183\) | −8.93273 | − | 2.30532i | −0.660326 | − | 0.170414i | ||||
\(184\) | 3.44574 | + | 6.78769i | 0.254023 | + | 0.500395i | ||||
\(185\) | 9.18699 | − | 15.9123i | 0.675441 | − | 1.16990i | ||||
\(186\) | 2.91662 | − | 0.229572i | 0.213857 | − | 0.0168330i | ||||
\(187\) | 6.80705 | + | 11.7902i | 0.497781 | + | 0.862182i | ||||
\(188\) | −1.33883 | − | 9.59559i | −0.0976440 | − | 0.699830i | ||||
\(189\) | −9.50879 | − | 9.92889i | −0.691663 | − | 0.722221i | ||||
\(190\) | −6.96548 | − | 6.06109i | −0.505329 | − | 0.439718i | ||||
\(191\) | −17.7440 | + | 10.2445i | −1.28391 | + | 0.741268i | −0.977562 | − | 0.210650i | \(-0.932442\pi\) |
−0.306353 | + | 0.951918i | \(0.599109\pi\) | |||||||
\(192\) | −12.9668 | − | 4.88479i | −0.935801 | − | 0.352529i | ||||
\(193\) | −6.86905 | + | 11.8975i | −0.494445 | + | 0.856404i | −0.999980 | − | 0.00640258i | \(-0.997962\pi\) |
0.505535 | + | 0.862806i | \(0.331295\pi\) | |||||||
\(194\) | 8.33005 | − | 2.86363i | 0.598063 | − | 0.205596i | ||||
\(195\) | −7.74913 | + | 30.0266i | −0.554927 | + | 2.15025i | ||||
\(196\) | 12.3946 | + | 6.50950i | 0.885329 | + | 0.464964i | ||||
\(197\) | −8.82215 | −0.628552 | −0.314276 | − | 0.949332i | \(-0.601762\pi\) | ||||
−0.314276 | + | 0.949332i | \(0.601762\pi\) | |||||||
\(198\) | 16.2831 | − | 5.93612i | 1.15719 | − | 0.421862i | ||||
\(199\) | 12.0861i | 0.856760i | 0.903599 | + | 0.428380i | \(0.140916\pi\) | ||||
−0.903599 | + | 0.428380i | \(0.859084\pi\) | |||||||
\(200\) | 0.199430 | − | 3.69959i | 0.0141018 | − | 0.261601i | ||||
\(201\) | 0.569503 | − | 0.158249i | 0.0401696 | − | 0.0111620i | ||||
\(202\) | 0.0500815 | − | 0.0172165i | 0.00352372 | − | 0.00121135i | ||||
\(203\) | −6.94033 | − | 13.5192i | −0.487116 | − | 0.948861i | ||||
\(204\) | 10.5894 | − | 4.59827i | 0.741408 | − | 0.321943i | ||||
\(205\) | 8.37223 | − | 4.83371i | 0.584742 | − | 0.337601i | ||||
\(206\) | 16.1326 | + | 14.0380i | 1.12401 | + | 0.978072i | ||||
\(207\) | −3.90716 | + | 7.06563i | −0.271567 | + | 0.491095i | ||||
\(208\) | 27.4210 | − | 7.80378i | 1.90131 | − | 0.541095i | ||||
\(209\) | −5.30885 | − | 9.19520i | −0.367221 | − | 0.636045i | ||||
\(210\) | −16.2724 | + | 0.475886i | −1.12290 | + | 0.0328393i | ||||
\(211\) | 8.34941 | + | 4.82053i | 0.574797 | + | 0.331859i | 0.759063 | − | 0.651017i | \(-0.225657\pi\) |
−0.184266 | + | 0.982876i | \(0.558991\pi\) | |||||||
\(212\) | −19.9226 | − | 8.07236i | −1.36829 | − | 0.554412i | ||||
\(213\) | 10.2837 | + | 10.0955i | 0.704630 | + | 0.691735i | ||||
\(214\) | −27.0086 | − | 5.26389i | −1.84627 | − | 0.359832i | ||||
\(215\) | 26.4701 | 1.80525 | ||||||||
\(216\) | −3.43136 | − | 14.2908i | −0.233474 | − | 0.972363i | ||||
\(217\) | −2.65547 | − | 1.71300i | −0.180265 | − | 0.116286i | ||||
\(218\) | −2.04617 | + | 10.4987i | −0.138584 | + | 0.711063i | ||||
\(219\) | −5.80239 | − | 5.69621i | −0.392089 | − | 0.384914i | ||||
\(220\) | 7.70696 | − | 19.0208i | 0.519603 | − | 1.28238i | ||||
\(221\) | −11.8767 | + | 20.5711i | −0.798915 | + | 1.38376i | ||||
\(222\) | −10.1485 | − | 14.7658i | −0.681122 | − | 0.991018i | ||||
\(223\) | −11.3369 | + | 6.54535i | −0.759174 | + | 0.438309i | −0.828999 | − | 0.559250i | \(-0.811089\pi\) |
0.0698251 | + | 0.997559i | \(0.477756\pi\) | |||||||
\(224\) | 7.93817 | + | 12.6880i | 0.530391 | + | 0.847753i | ||||
\(225\) | 3.36636 | − | 2.02737i | 0.224424 | − | 0.135158i | ||||
\(226\) | −10.4311 | − | 9.07672i | −0.693865 | − | 0.603775i | ||||
\(227\) | −19.3302 | + | 11.1603i | −1.28299 | + | 0.740736i | −0.977394 | − | 0.211425i | \(-0.932190\pi\) |
−0.305598 | + | 0.952161i | \(0.598856\pi\) | |||||||
\(228\) | −8.25874 | + | 3.58621i | −0.546948 | + | 0.237503i | ||||
\(229\) | 2.75707 | − | 4.77539i | 0.182192 | − | 0.315566i | −0.760434 | − | 0.649415i | \(-0.775014\pi\) |
0.942627 | + | 0.333848i | \(0.108347\pi\) | |||||||
\(230\) | 3.10818 | + | 9.04142i | 0.204947 | + | 0.596174i | ||||
\(231\) | −17.8735 | − | 5.56573i | −1.17599 | − | 0.366198i | ||||
\(232\) | 0.874478 | − | 16.2223i | 0.0574123 | − | 1.06505i | ||||
\(233\) | 8.22371i | 0.538753i | 0.963035 | + | 0.269377i | \(0.0868176\pi\) | ||||
−0.963035 | + | 0.269377i | \(0.913182\pi\) | |||||||
\(234\) | 23.1747 | + | 19.4254i | 1.51498 | + | 1.26988i | ||||
\(235\) | − | 12.1686i | − | 0.793790i | ||||||
\(236\) | 4.70278 | + | 6.03166i | 0.306125 | + | 0.392628i | ||||
\(237\) | 10.2562 | + | 2.64687i | 0.666211 | + | 0.171933i | ||||
\(238\) | −12.1069 | − | 2.98584i | −0.784776 | − | 0.193543i | ||||
\(239\) | −1.85396 | − | 1.07039i | −0.119923 | − | 0.0692375i | 0.438839 | − | 0.898566i | \(-0.355390\pi\) |
−0.558762 | + | 0.829328i | \(0.688723\pi\) | |||||||
\(240\) | −15.2820 | − | 8.32683i | −0.986448 | − | 0.537495i | ||||
\(241\) | 16.1708 | − | 9.33620i | 1.04165 | − | 0.601398i | 0.121351 | − | 0.992610i | \(-0.461277\pi\) |
0.920301 | + | 0.391212i | \(0.127944\pi\) | |||||||
\(242\) | 5.28005 | − | 6.06790i | 0.339414 | − | 0.390059i | ||||
\(243\) | 10.5022 | − | 11.5197i | 0.673716 | − | 0.738991i | ||||
\(244\) | 1.47205 | + | 10.5504i | 0.0942381 | + | 0.675419i | ||||
\(245\) | 14.2882 | + | 10.2485i | 0.912840 | + | 0.654755i | ||||
\(246\) | −0.739730 | − | 9.39796i | −0.0471634 | − | 0.599192i | ||||
\(247\) | 9.26272 | − | 16.0435i | 0.589373 | − | 1.02082i | ||||
\(248\) | −1.52919 | − | 3.01232i | −0.0971036 | − | 0.191282i | ||||
\(249\) | 3.47668 | − | 13.4716i | 0.220326 | − | 0.853725i | ||||
\(250\) | −2.50769 | + | 12.8667i | −0.158600 | + | 0.813764i | ||||
\(251\) | − | 18.2124i | − | 1.14955i | −0.818310 | − | 0.574777i | \(-0.805089\pi\) | ||
0.818310 | − | 0.574777i | \(-0.194911\pi\) | |||||||
\(252\) | −6.41224 | + | 14.5218i | −0.403933 | + | 0.914789i | ||||
\(253\) | 10.9942i | 0.691199i | ||||||||
\(254\) | −9.87377 | − | 1.92437i | −0.619536 | − | 0.120746i | ||||
\(255\) | 13.9705 | − | 3.88201i | 0.874869 | − | 0.243101i | ||||
\(256\) | 0.494684 | + | 15.9924i | 0.0309178 | + | 0.999522i | ||||
\(257\) | −5.82025 | + | 10.0810i | −0.363057 | + | 0.628834i | −0.988462 | − | 0.151466i | \(-0.951600\pi\) |
0.625405 | + | 0.780300i | \(0.284934\pi\) | |||||||
\(258\) | 11.1121 | − | 23.2976i | 0.691808 | − | 1.45044i | ||||
\(259\) | −0.953952 | + | 19.3291i | −0.0592757 | + | 1.20105i | ||||
\(260\) | 35.4642 | − | 4.94815i | 2.19939 | − | 0.306871i | ||||
\(261\) | 14.7611 | − | 8.88979i | 0.913689 | − | 0.550264i | ||||
\(262\) | −5.46507 | − | 4.75550i | −0.337633 | − | 0.293796i | ||||
\(263\) | 12.9717 | − | 7.48920i | 0.799868 | − | 0.461804i | −0.0435572 | − | 0.999051i | \(-0.513869\pi\) |
0.843425 | + | 0.537247i | \(0.180536\pi\) | |||||||
\(264\) | −13.5057 | − | 14.7681i | −0.831221 | − | 0.908916i | ||||
\(265\) | −23.3813 | − | 13.4992i | −1.43630 | − | 0.829248i | ||||
\(266\) | 9.44226 | + | 2.32867i | 0.578942 | + | 0.142780i | ||||
\(267\) | −2.46134 | + | 2.50722i | −0.150632 | + | 0.153440i | ||||
\(268\) | −0.419666 | − | 0.538252i | −0.0256352 | − | 0.0328790i | ||||
\(269\) | 9.77960i | 0.596273i | 0.954523 | + | 0.298136i | \(0.0963650\pi\) | ||||
−0.954523 | + | 0.298136i | \(0.903635\pi\) | |||||||
\(270\) | −1.78807 | − | 18.3722i | −0.108818 | − | 1.11810i | ||||
\(271\) | 10.1915i | 0.619090i | 0.950885 | + | 0.309545i | \(0.100177\pi\) | ||||
−0.950885 | + | 0.309545i | \(0.899823\pi\) | |||||||
\(272\) | −9.57081 | − | 9.27934i | −0.580316 | − | 0.562642i | ||||
\(273\) | −7.18270 | − | 31.8626i | −0.434717 | − | 1.92841i | ||||
\(274\) | −2.84822 | + | 0.979133i | −0.172067 | + | 0.0591516i | ||||
\(275\) | 2.67551 | − | 4.63412i | 0.161339 | − | 0.279448i | ||||
\(276\) | 9.26257 | + | 1.05992i | 0.557541 | + | 0.0637995i | ||||
\(277\) | 5.93338 | − | 3.42564i | 0.356502 | − | 0.205827i | −0.311043 | − | 0.950396i | \(-0.600678\pi\) |
0.667545 | + | 0.744569i | \(0.267345\pi\) | |||||||
\(278\) | −0.851750 | + | 0.978841i | −0.0510846 | + | 0.0587070i | ||||
\(279\) | 1.73397 | − | 3.13567i | 0.103810 | − | 0.187727i | ||||
\(280\) | 7.67238 | + | 17.1607i | 0.458513 | + | 1.02555i | ||||
\(281\) | 4.09471 | − | 2.36408i | 0.244270 | − | 0.141029i | −0.372868 | − | 0.927885i | \(-0.621625\pi\) |
0.617138 | + | 0.786855i | \(0.288292\pi\) | |||||||
\(282\) | −10.7101 | − | 5.10833i | −0.637778 | − | 0.304197i | ||||
\(283\) | 15.5265 | − | 26.8926i | 0.922953 | − | 1.59860i | 0.128131 | − | 0.991757i | \(-0.459102\pi\) |
0.794821 | − | 0.606843i | \(-0.207565\pi\) | |||||||
\(284\) | 6.24894 | − | 15.4224i | 0.370806 | − | 0.915152i | ||||
\(285\) | −10.8957 | + | 3.02760i | −0.645404 | + | 0.179340i | ||||
\(286\) | 40.4159 | + | 7.87694i | 2.38984 | + | 0.465773i | ||||
\(287\) | −5.51966 | + | 8.55650i | −0.325815 | + | 0.505074i | ||||
\(288\) | −13.7442 | + | 9.95480i | −0.809883 | + | 0.586592i | ||||
\(289\) | −5.89334 | −0.346667 | ||||||||
\(290\) | 3.90331 | − | 20.0276i | 0.229211 | − | 1.17606i | ||||
\(291\) | 2.69584 | − | 10.4459i | 0.158033 | − | 0.612352i | ||||
\(292\) | −3.52584 | + | 8.70179i | −0.206334 | + | 0.509234i | ||||
\(293\) | 9.38258 | + | 5.41703i | 0.548136 | + | 0.316467i | 0.748370 | − | 0.663282i | \(-0.230837\pi\) |
−0.200234 | + | 0.979748i | \(0.564170\pi\) | |||||||
\(294\) | 15.0184 | − | 8.27339i | 0.875888 | − | 0.482514i | ||||
\(295\) | 4.80306 | + | 8.31915i | 0.279645 | + | 0.484360i | ||||
\(296\) | −11.2939 | + | 17.3343i | −0.656443 | + | 1.00754i | ||||
\(297\) | 4.92378 | − | 20.6476i | 0.285707 | − | 1.19809i | ||||
\(298\) | −21.2761 | + | 24.4507i | −1.23249 | + | 1.41639i | ||||
\(299\) | −16.6124 | + | 9.59116i | −0.960719 | + | 0.554671i | ||||
\(300\) | −3.64629 | − | 2.70087i | −0.210519 | − | 0.155935i | ||||
\(301\) | −24.8026 | + | 12.7329i | −1.42960 | + | 0.733913i | ||||
\(302\) | 1.17531 | + | 3.41889i | 0.0676317 | + | 0.196735i | ||||
\(303\) | 0.0162078 | − | 0.0628025i | 0.000931113 | − | 0.00360791i | ||||
\(304\) | 7.46432 | + | 7.23700i | 0.428108 | + | 0.415070i | ||||
\(305\) | 13.3794i | 0.766101i | ||||||||
\(306\) | 2.44805 | − | 13.9258i | 0.139946 | − | 0.796083i | ||||
\(307\) | 14.6728 | 0.837422 | 0.418711 | − | 0.908120i | \(-0.362482\pi\) | ||||
0.418711 | + | 0.908120i | \(0.362482\pi\) | |||||||
\(308\) | 1.92812 | + | 21.5299i | 0.109865 | + | 1.22678i | ||||
\(309\) | 25.2353 | − | 7.01216i | 1.43558 | − | 0.398908i | ||||
\(310\) | −1.37938 | − | 4.01251i | −0.0783437 | − | 0.227895i | ||||
\(311\) | 3.16732 | − | 5.48596i | 0.179602 | − | 0.311080i | −0.762142 | − | 0.647410i | \(-0.775852\pi\) |
0.941744 | + | 0.336330i | \(0.109186\pi\) | |||||||
\(312\) | 10.5327 | − | 33.2909i | 0.596295 | − | 1.88472i | ||||
\(313\) | 12.3347 | − | 7.12143i | 0.697198 | − | 0.402527i | −0.109105 | − | 0.994030i | \(-0.534799\pi\) |
0.806303 | + | 0.591503i | \(0.201465\pi\) | |||||||
\(314\) | 11.6320 | − | 13.3677i | 0.656434 | − | 0.754382i | ||||
\(315\) | −10.4967 | + | 16.9512i | −0.591425 | + | 0.955090i | ||||
\(316\) | −1.69014 | − | 12.1135i | −0.0950779 | − | 0.681438i | ||||
\(317\) | 4.22200 | + | 7.31272i | 0.237131 | + | 0.410723i | 0.959890 | − | 0.280377i | \(-0.0904595\pi\) |
−0.722759 | + | 0.691100i | \(0.757126\pi\) | |||||||
\(318\) | −21.6966 | + | 14.9120i | −1.21669 | + | 0.836224i | ||||
\(319\) | 11.7318 | − | 20.3201i | 0.656855 | − | 1.13771i | ||||
\(320\) | −2.16027 | + | 19.9792i | −0.120763 | + | 1.11687i | ||||
\(321\) | −23.6091 | + | 24.0492i | −1.31773 | + | 1.34230i | ||||
\(322\) | −7.26157 | − | 6.97673i | −0.404671 | − | 0.388798i | ||||
\(323\) | −8.66213 | −0.481974 | ||||||||
\(324\) | −16.9208 | − | 6.13884i | −0.940046 | − | 0.341047i | ||||
\(325\) | 9.33629 | 0.517884 | ||||||||
\(326\) | 2.31794 | − | 11.8931i | 0.128379 | − | 0.658700i | ||||
\(327\) | 9.34838 | + | 9.17730i | 0.516967 | + | 0.507506i | ||||
\(328\) | −9.70633 | + | 4.92737i | −0.535942 | + | 0.272068i | ||||
\(329\) | 5.85344 | + | 11.4020i | 0.322711 | + | 0.628613i | ||||
\(330\) | −14.2370 | − | 20.7145i | −0.783721 | − | 1.14030i | ||||
\(331\) | 3.80120 | − | 2.19462i | 0.208933 | − | 0.120627i | −0.391882 | − | 0.920015i | \(-0.628176\pi\) |
0.600815 | + | 0.799388i | \(0.294843\pi\) | |||||||
\(332\) | −15.9112 | + | 2.22001i | −0.873239 | + | 0.121839i | ||||
\(333\) | −21.9401 | + | 0.405263i | −1.20231 | + | 0.0222083i | ||||
\(334\) | −6.67425 | + | 7.67013i | −0.365199 | + | 0.419691i | ||||
\(335\) | −0.428615 | − | 0.742382i | −0.0234177 | − | 0.0405607i | ||||
\(336\) | 18.3247 | + | 0.451193i | 0.999697 | + | 0.0246146i | ||||
\(337\) | −12.5711 | + | 21.7739i | −0.684794 | + | 1.18610i | 0.288707 | + | 0.957417i | \(0.406775\pi\) |
−0.973501 | + | 0.228681i | \(0.926559\pi\) | |||||||
\(338\) | 17.3792 | + | 50.5546i | 0.945303 | + | 2.74981i | ||||
\(339\) | −16.3167 | + | 4.53395i | −0.886201 | + | 0.246250i | ||||
\(340\) | −10.2949 | − | 13.2039i | −0.558318 | − | 0.716083i | ||||
\(341\) | − | 4.87913i | − | 0.264220i | ||||||
\(342\) | −1.90925 | + | 10.8608i | −0.103240 | + | 0.587283i | ||||
\(343\) | −18.3180 | − | 2.72989i | −0.989077 | − | 0.147400i | ||||
\(344\) | −29.7618 | − | 1.60434i | −1.60465 | − | 0.0865002i | ||||
\(345\) | 11.3380 | + | 2.92606i | 0.610418 | + | 0.157534i | ||||
\(346\) | 3.90711 | − | 1.34315i | 0.210048 | − | 0.0722082i | ||||
\(347\) | 16.1985 | − | 28.0566i | 0.869580 | − | 1.50616i | 0.00715261 | − | 0.999974i | \(-0.497723\pi\) |
0.862427 | − | 0.506182i | \(-0.168943\pi\) | |||||||
\(348\) | −15.9886 | − | 11.8430i | −0.857077 | − | 0.634851i | ||||
\(349\) | −3.06629 | − | 5.31097i | −0.164135 | − | 0.284290i | 0.772213 | − | 0.635364i | \(-0.219150\pi\) |
−0.936348 | + | 0.351074i | \(0.885817\pi\) | |||||||
\(350\) | 1.36296 | + | 4.70788i | 0.0728533 | + | 0.251647i | ||||
\(351\) | 35.4942 | − | 10.5727i | 1.89454 | − | 0.564330i | ||||
\(352\) | −9.81820 | + | 20.9191i | −0.523312 | + | 1.11499i | ||||
\(353\) | −9.67212 | − | 16.7526i | −0.514795 | − | 0.891651i | −0.999853 | − | 0.0171689i | \(-0.994535\pi\) |
0.485058 | − | 0.874482i | \(-0.338799\pi\) | |||||||
\(354\) | 9.33838 | − | 0.735040i | 0.496329 | − | 0.0390669i | ||||
\(355\) | 10.4499 | − | 18.0998i | 0.554624 | − | 0.960637i | ||||
\(356\) | 3.76006 | + | 1.52352i | 0.199283 | + | 0.0807464i | ||||
\(357\) | −11.2231 | + | 10.3577i | −0.593989 | + | 0.548188i | ||||
\(358\) | 4.42927 | + | 0.863251i | 0.234094 | + | 0.0456243i | ||||
\(359\) | − | 12.4559i | − | 0.657396i | −0.944435 | − | 0.328698i | \(-0.893390\pi\) | ||
0.944435 | − | 0.328698i | \(-0.106610\pi\) | |||||||
\(360\) | −18.8245 | + | 9.99761i | −0.992137 | + | 0.526920i | ||||
\(361\) | −12.2444 | −0.644440 | ||||||||
\(362\) | 32.5721 | + | 6.34822i | 1.71195 | + | 0.333655i | ||||
\(363\) | −2.63746 | − | 9.49164i | −0.138431 | − | 0.498182i | ||||
\(364\) | −30.8499 | + | 21.6958i | −1.61697 | + | 1.13717i | ||||
\(365\) | −5.89616 | + | 10.2124i | −0.308619 | + | 0.534544i | ||||
\(366\) | 11.7758 | + | 5.61663i | 0.615531 | + | 0.293586i | ||||
\(367\) | 23.7839 | − | 13.7316i | 1.24151 | − | 0.716786i | 0.272108 | − | 0.962267i | \(-0.412279\pi\) |
0.969401 | + | 0.245481i | \(0.0789458\pi\) | |||||||
\(368\) | −2.94670 | − | 10.3542i | −0.153607 | − | 0.539748i | ||||
\(369\) | −10.1038 | − | 5.58721i | −0.525982 | − | 0.290858i | ||||
\(370\) | −17.0573 | + | 19.6024i | −0.886766 | + | 1.01908i | ||||
\(371\) | 28.4019 | + | 1.40172i | 1.47455 | + | 0.0727736i | ||||
\(372\) | −4.11065 | − | 0.470382i | −0.213127 | − | 0.0243882i | ||||
\(373\) | 4.35839 | + | 2.51632i | 0.225669 | + | 0.130290i | 0.608572 | − | 0.793498i | \(-0.291743\pi\) |
−0.382904 | + | 0.923788i | \(0.625076\pi\) | |||||||
\(374\) | −6.25918 | − | 18.2074i | −0.323654 | − | 0.941483i | ||||
\(375\) | 11.4569 | + | 11.2473i | 0.591634 | + | 0.580806i | ||||
\(376\) | −0.737530 | + | 13.6818i | −0.0380352 | + | 0.705585i | ||||
\(377\) | 40.9386 | 2.10844 | ||||||||
\(378\) | 10.5130 | + | 16.3547i | 0.540730 | + | 0.841196i | ||||
\(379\) | 22.1229i | 1.13638i | 0.822898 | + | 0.568190i | \(0.192356\pi\) | ||||
−0.822898 | + | 0.568190i | \(0.807644\pi\) | |||||||
\(380\) | 8.02901 | + | 10.2978i | 0.411880 | + | 0.528266i | ||||
\(381\) | −8.63101 | + | 8.79190i | −0.442180 | + | 0.450423i | ||||
\(382\) | 27.4020 | − | 9.41999i | 1.40201 | − | 0.481969i | ||||
\(383\) | −7.11772 | + | 12.3283i | −0.363699 | + | 0.629944i | −0.988566 | − | 0.150786i | \(-0.951820\pi\) |
0.624868 | + | 0.780731i | \(0.285153\pi\) | |||||||
\(384\) | 16.6777 | + | 10.2885i | 0.851080 | + | 0.525035i | ||||
\(385\) | −1.33827 | + | 27.1162i | −0.0682045 | + | 1.38197i | ||||
\(386\) | 12.7536 | − | 14.6566i | 0.649142 | − | 0.746002i | ||||
\(387\) | −16.3094 | − | 27.0811i | −0.829055 | − | 1.37661i | ||||
\(388\) | −12.3376 | + | 1.72141i | −0.626348 | + | 0.0873914i | ||||
\(389\) | 12.3467 | + | 21.3852i | 0.626004 | + | 1.08427i | 0.988346 | + | 0.152226i | \(0.0486440\pi\) |
−0.362342 | + | 0.932045i | \(0.618023\pi\) | |||||||
\(390\) | 18.8798 | − | 39.5833i | 0.956016 | − | 2.00438i | ||||
\(391\) | 7.76763 | + | 4.48464i | 0.392826 | + | 0.226798i | ||||
\(392\) | −15.4439 | − | 12.3890i | −0.780032 | − | 0.625739i | ||||
\(393\) | −8.54868 | + | 2.37544i | −0.431224 | + | 0.119825i | ||||
\(394\) | 12.2460 | + | 2.38671i | 0.616944 | + | 0.120241i | ||||
\(395\) | − | 15.3617i | − | 0.772929i | ||||||
\(396\) | −24.2085 | + | 3.83474i | −1.21652 | + | 0.192703i | ||||
\(397\) | 20.2460 | 1.01612 | 0.508058 | − | 0.861323i | \(-0.330363\pi\) | ||||
0.508058 | + | 0.861323i | \(0.330363\pi\) | |||||||
\(398\) | 3.26972 | − | 16.7767i | 0.163896 | − | 0.840938i | ||||
\(399\) | 8.75294 | − | 8.07802i | 0.438195 | − | 0.404407i | ||||
\(400\) | −1.27770 | + | 5.08144i | −0.0638850 | + | 0.254072i | ||||
\(401\) | 30.9477 | + | 17.8676i | 1.54545 | + | 0.892268i | 0.998480 | + | 0.0551171i | \(0.0175532\pi\) |
0.546973 | + | 0.837150i | \(0.315780\pi\) | |||||||
\(402\) | −0.833336 | + | 0.0655933i | −0.0415630 | + | 0.00327150i | ||||
\(403\) | 7.37243 | − | 4.25648i | 0.367247 | − | 0.212030i | ||||
\(404\) | −0.0741756 | + | 0.0103494i | −0.00369037 | + | 0.000514900i | ||||
\(405\) | −19.9828 | − | 10.5730i | −0.992954 | − | 0.525378i | ||||
\(406\) | 5.97642 | + | 20.6435i | 0.296605 | + | 1.02452i | ||||
\(407\) | −25.8773 | + | 14.9403i | −1.28269 | + | 0.740563i | ||||
\(408\) | −15.9431 | + | 3.51802i | −0.789302 | + | 0.174168i | ||||
\(409\) | 25.3670 | + | 14.6456i | 1.25432 | + | 0.724180i | 0.971964 | − | 0.235131i | \(-0.0755519\pi\) |
0.282352 | + | 0.959311i | \(0.408885\pi\) | |||||||
\(410\) | −12.9291 | + | 4.44466i | −0.638525 | + | 0.219506i | ||||
\(411\) | −0.921764 | + | 3.57168i | −0.0454673 | + | 0.176178i | ||||
\(412\) | −18.5958 | − | 23.8505i | −0.916151 | − | 1.17503i | ||||
\(413\) | −8.50225 | − | 5.48467i | −0.418368 | − | 0.269883i | ||||
\(414\) | 7.33502 | − | 8.75074i | 0.360497 | − | 0.430076i | ||||
\(415\) | −20.1776 | −0.990480 | ||||||||
\(416\) | −40.1742 | + | 3.41402i | −1.96970 | + | 0.167386i | ||||
\(417\) | 0.425461 | + | 1.53114i | 0.0208349 | + | 0.0749804i | ||||
\(418\) | 4.88156 | + | 14.2001i | 0.238765 | + | 0.694547i | ||||
\(419\) | 17.4221 | + | 10.0586i | 0.851125 | + | 0.491397i | 0.861030 | − | 0.508554i | \(-0.169820\pi\) |
−0.00990557 | + | 0.999951i | \(0.503153\pi\) | |||||||
\(420\) | 22.7163 | + | 3.74168i | 1.10844 | + | 0.182575i | ||||
\(421\) | −30.6373 | + | 17.6885i | −1.49317 | + | 0.862083i | −0.999969 | − | 0.00783123i | \(-0.997507\pi\) |
−0.493203 | + | 0.869914i | \(0.664174\pi\) | |||||||
\(422\) | −10.2856 | − | 8.95017i | −0.500698 | − | 0.435688i | ||||
\(423\) | −12.4494 | + | 7.49760i | −0.605312 | + | 0.364546i | ||||
\(424\) | 25.4707 | + | 16.5950i | 1.23697 | + | 0.805925i | ||||
\(425\) | −2.18273 | − | 3.78060i | −0.105878 | − | 0.183386i | ||||
\(426\) | −11.5436 | − | 16.7957i | −0.559290 | − | 0.813754i | ||||
\(427\) | −6.43588 | − | 12.5365i | −0.311454 | − | 0.606686i | ||||
\(428\) | 36.0664 | + | 14.6136i | 1.74334 | + | 0.706374i | ||||
\(429\) | 35.3289 | − | 35.9875i | 1.70570 | − | 1.73749i | ||||
\(430\) | −36.7431 | − | 7.16112i | −1.77191 | − | 0.345340i | ||||
\(431\) | 0.805267i | 0.0387883i | 0.999812 | + | 0.0193942i | \(0.00617374\pi\) | ||||
−0.999812 | + | 0.0193942i | \(0.993826\pi\) | |||||||
\(432\) | 0.896892 | + | 20.7652i | 0.0431518 | + | 0.999069i | ||||
\(433\) | 29.6460i | 1.42470i | 0.701825 | + | 0.712349i | \(0.252369\pi\) | ||||
−0.701825 | + | 0.712349i | \(0.747631\pi\) | |||||||
\(434\) | 3.22262 | + | 3.09622i | 0.154691 | + | 0.148623i | ||||
\(435\) | −17.8331 | − | 17.5068i | −0.855034 | − | 0.839386i | ||||
\(436\) | 5.68057 | − | 14.0197i | 0.272050 | − | 0.671421i | ||||
\(437\) | −6.05801 | − | 3.49759i | −0.289794 | − | 0.167313i | ||||
\(438\) | 6.51325 | + | 9.47664i | 0.311215 | + | 0.452811i | ||||
\(439\) | −28.8335 | + | 16.6470i | −1.37615 | + | 0.794518i | −0.991693 | − | 0.128627i | \(-0.958943\pi\) |
−0.384453 | + | 0.923145i | \(0.625610\pi\) | |||||||
\(440\) | −15.8438 | + | 24.3177i | −0.755324 | + | 1.15930i | ||||
\(441\) | 1.68149 | − | 20.9326i | 0.0800710 | − | 0.996789i | ||||
\(442\) | 22.0513 | − | 25.3416i | 1.04887 | − | 1.20538i | ||||
\(443\) | −1.92340 | − | 3.33143i | −0.0913836 | − | 0.158281i | 0.816710 | − | 0.577048i | \(-0.195796\pi\) |
−0.908094 | + | 0.418767i | \(0.862462\pi\) | |||||||
\(444\) | 10.0924 | + | 23.2419i | 0.478964 | + | 1.10301i | ||||
\(445\) | 4.41282 | + | 2.54774i | 0.209188 | + | 0.120774i | ||||
\(446\) | 17.5074 | − | 6.01854i | 0.829001 | − | 0.284986i | ||||
\(447\) | 10.6277 | + | 38.2468i | 0.502672 | + | 1.80901i | ||||
\(448\) | −7.58638 | − | 19.7597i | −0.358423 | − | 0.933559i | ||||
\(449\) | − | 20.6012i | − | 0.972229i | −0.873895 | − | 0.486115i | \(-0.838414\pi\) | ||
0.873895 | − | 0.486115i | \(-0.161586\pi\) | |||||||
\(450\) | −5.22130 | + | 1.90346i | −0.246135 | + | 0.0897301i | ||||
\(451\) | −15.7216 | −0.740301 | ||||||||
\(452\) | 12.0238 | + | 15.4213i | 0.565550 | + | 0.725359i | ||||
\(453\) | 4.28731 | + | 1.10645i | 0.201435 | + | 0.0519856i | ||||
\(454\) | 29.8515 | − | 10.2621i | 1.40100 | − | 0.481622i | ||||
\(455\) | −42.1405 | + | 21.6336i | −1.97558 | + | 1.01420i | ||||
\(456\) | 12.4341 | − | 2.74372i | 0.582281 | − | 0.128486i | ||||
\(457\) | 10.5366 | + | 18.2500i | 0.492883 | + | 0.853698i | 0.999966 | − | 0.00819909i | \(-0.00260988\pi\) |
−0.507084 | + | 0.861897i | \(0.669277\pi\) | |||||||
\(458\) | −5.11899 | + | 5.88281i | −0.239195 | + | 0.274886i | ||||
\(459\) | −12.5795 | − | 11.9011i | −0.587160 | − | 0.555496i | ||||
\(460\) | −1.86842 | − | 13.3912i | −0.0871154 | − | 0.624370i | ||||
\(461\) | −11.6027 | + | 6.69882i | −0.540392 | + | 0.311995i | −0.745238 | − | 0.666799i | \(-0.767664\pi\) |
0.204846 | + | 0.978794i | \(0.434331\pi\) | |||||||
\(462\) | 23.3044 | + | 12.5612i | 1.08422 | + | 0.584400i | ||||
\(463\) | −0.633607 | + | 1.09744i | −0.0294462 | + | 0.0510023i | −0.880373 | − | 0.474282i | \(-0.842708\pi\) |
0.850927 | + | 0.525284i | \(0.176041\pi\) | |||||||
\(464\) | −5.60257 | + | 22.2815i | −0.260093 | + | 1.03439i | ||||
\(465\) | −5.03171 | − | 1.29856i | −0.233340 | − | 0.0602194i | ||||
\(466\) | 2.22481 | − | 11.4153i | 0.103062 | − | 0.528803i | ||||
\(467\) | 9.31161i | 0.430890i | 0.976516 | + | 0.215445i | \(0.0691202\pi\) | ||||
−0.976516 | + | 0.215445i | \(0.930880\pi\) | |||||||
\(468\) | −26.9134 | − | 33.2340i | −1.24407 | − | 1.53624i | ||||
\(469\) | 0.758722 | + | 0.489440i | 0.0350345 | + | 0.0226002i | ||||
\(470\) | −3.29204 | + | 16.8911i | −0.151850 | + | 0.779130i | ||||
\(471\) | −5.81037 | − | 20.9103i | −0.267728 | − | 0.963493i | ||||
\(472\) | −4.89613 | − | 9.64479i | −0.225363 | − | 0.443938i | ||||
\(473\) | −37.2797 | − | 21.5235i | −1.71412 | − | 0.989650i | ||||
\(474\) | −13.5205 | − | 6.44878i | −0.621017 | − | 0.296202i | ||||
\(475\) | 1.70232 | + | 2.94851i | 0.0781080 | + | 0.135287i | ||||
\(476\) | 15.9978 | + | 7.42000i | 0.733259 | + | 0.340095i | ||||
\(477\) | 0.595485 | + | 32.2384i | 0.0272654 | + | 1.47609i | ||||
\(478\) | 2.28390 | + | 1.98736i | 0.104463 | + | 0.0908999i | ||||
\(479\) | 8.99766 | + | 15.5844i | 0.411114 | + | 0.712070i | 0.995012 | − | 0.0997572i | \(-0.0318066\pi\) |
−0.583898 | + | 0.811827i | \(0.698473\pi\) | |||||||
\(480\) | 18.9602 | + | 15.6928i | 0.865409 | + | 0.716274i | ||||
\(481\) | −45.1500 | − | 26.0674i | −2.05866 | − | 1.18857i | ||||
\(482\) | −24.9724 | + | 8.58477i | −1.13746 | + | 0.391025i | ||||
\(483\) | −12.0313 | + | 2.71218i | −0.547442 | + | 0.123408i | ||||
\(484\) | −8.97080 | + | 6.99438i | −0.407764 | + | 0.317926i | ||||
\(485\) | −15.6459 | −0.710442 | ||||||||
\(486\) | −17.6945 | + | 13.1493i | −0.802641 | + | 0.596463i | ||||
\(487\) | 33.8968 | 1.53601 | 0.768005 | − | 0.640444i | \(-0.221249\pi\) | ||||
0.768005 | + | 0.640444i | \(0.221249\pi\) | |||||||
\(488\) | 0.810917 | − | 15.0432i | 0.0367085 | − | 0.680973i | ||||
\(489\) | −10.5900 | − | 10.3962i | −0.478897 | − | 0.470133i | ||||
\(490\) | −17.0608 | − | 18.0914i | −0.770728 | − | 0.817287i | ||||
\(491\) | 0.472690 | − | 0.818724i | 0.0213322 | − | 0.0369485i | −0.855162 | − | 0.518360i | \(-0.826543\pi\) |
0.876494 | + | 0.481412i | \(0.159876\pi\) | |||||||
\(492\) | −1.51567 | + | 13.2454i | −0.0683317 | + | 0.597148i | ||||
\(493\) | −9.57103 | − | 16.5775i | −0.431058 | − | 0.746614i | ||||
\(494\) | −17.1979 | + | 19.7640i | −0.773769 | + | 0.889225i | ||||
\(495\) | −30.7791 | + | 0.568530i | −1.38342 | + | 0.0255535i | ||||
\(496\) | 1.30772 | + | 4.59509i | 0.0587184 | + | 0.206326i | ||||
\(497\) | −1.08509 | + | 21.9863i | −0.0486730 | + | 0.986221i | ||||
\(498\) | −8.47051 | + | 17.7592i | −0.379573 | + | 0.795811i | ||||
\(499\) | 22.7475 | + | 13.1333i | 1.01832 | + | 0.587927i | 0.913617 | − | 0.406577i | \(-0.133278\pi\) |
0.104702 | + | 0.994504i | \(0.466611\pi\) | |||||||
\(500\) | 6.96183 | − | 17.1819i | 0.311343 | − | 0.768396i | ||||
\(501\) | 3.33388 | + | 11.9979i | 0.148947 | + | 0.536027i | ||||
\(502\) | −4.92710 | + | 25.2805i | −0.219907 | + | 1.12832i | ||||
\(503\) | 21.0698 | 0.939454 | 0.469727 | − | 0.882812i | \(-0.344352\pi\) | ||||
0.469727 | + | 0.882812i | \(0.344352\pi\) | |||||||
\(504\) | 12.8295 | − | 18.4229i | 0.571470 | − | 0.820623i | ||||
\(505\) | −0.0940652 | −0.00418584 | ||||||||
\(506\) | 2.97432 | − | 15.2610i | 0.132225 | − | 0.678434i | ||||
\(507\) | 63.3957 | + | 16.3609i | 2.81550 | + | 0.726613i | ||||
\(508\) | 13.1851 | + | 5.34242i | 0.584996 | + | 0.237032i | ||||
\(509\) | 11.1901 | + | 6.46063i | 0.495994 | + | 0.286362i | 0.727058 | − | 0.686576i | \(-0.240887\pi\) |
−0.231064 | + | 0.972939i | \(0.574221\pi\) | |||||||
\(510\) | −20.4427 | + | 1.60908i | −0.905216 | + | 0.0712511i | ||||
\(511\) | 0.612241 | − | 12.4053i | 0.0270840 | − | 0.548780i | ||||
\(512\) | 3.63984 | − | 22.3327i | 0.160860 | − | 0.986977i | ||||
\(513\) | 9.81080 | + | 9.28173i | 0.433157 | + | 0.409798i | ||||
\(514\) | 10.8063 | − | 12.4188i | 0.476647 | − | 0.547769i | ||||
\(515\) | −18.9924 | − | 32.8957i | −0.836904 | − | 1.44956i | ||||
\(516\) | −21.7275 | + | 29.3331i | −0.956499 | + | 1.29132i | ||||
\(517\) | −9.89454 | + | 17.1378i | −0.435161 | + | 0.753722i | ||||
\(518\) | 6.55340 | − | 26.5726i | 0.287940 | − | 1.16753i | ||||
\(519\) | 1.26445 | − | 4.89955i | 0.0555034 | − | 0.215066i | ||||
\(520\) | −50.5663 | − | 2.72583i | −2.21748 | − | 0.119535i | ||||
\(521\) | −27.6537 | −1.21153 | −0.605766 | − | 0.795643i | \(-0.707133\pi\) | ||||
−0.605766 | + | 0.795643i | \(0.707133\pi\) | |||||||
\(522\) | −22.8948 | + | 8.34647i | −1.00208 | + | 0.365315i | ||||
\(523\) | −27.1522 | −1.18728 | −0.593641 | − | 0.804730i | \(-0.702310\pi\) | ||||
−0.593641 | + | 0.804730i | \(0.702310\pi\) | |||||||
\(524\) | 6.29951 | + | 8.07958i | 0.275196 | + | 0.352958i | ||||
\(525\) | 5.73128 | + | 1.78469i | 0.250134 | + | 0.0778904i | ||||
\(526\) | −20.0320 | + | 6.88642i | −0.873438 | + | 0.300262i | ||||
\(527\) | −3.44721 | − | 1.99025i | −0.150163 | − | 0.0866965i | ||||
\(528\) | 14.7520 | + | 24.1534i | 0.641996 | + | 1.05114i | ||||
\(529\) | −7.87839 | − | 13.6458i | −0.342539 | − | 0.593294i | ||||
\(530\) | 28.8034 | + | 25.0636i | 1.25114 | + | 1.08869i | ||||
\(531\) | 5.55179 | − | 10.0397i | 0.240927 | − | 0.435687i | ||||
\(532\) | −12.4768 | − | 5.78689i | −0.540936 | − | 0.250893i | ||||
\(533\) | −13.7153 | − | 23.7555i | −0.594074 | − | 1.02897i | ||||
\(534\) | 4.09487 | − | 2.81439i | 0.177202 | − | 0.121790i | ||||
\(535\) | 42.3276 | + | 24.4379i | 1.82998 | + | 1.05654i | ||||
\(536\) | 0.436920 | + | 0.860680i | 0.0188721 | + | 0.0371757i | ||||
\(537\) | 3.87178 | − | 3.94395i | 0.167079 | − | 0.170194i | ||||
\(538\) | 2.64573 | − | 13.5750i | 0.114066 | − | 0.585261i | ||||
\(539\) | −11.7897 | − | 26.0518i | −0.507820 | − | 1.12213i | ||||
\(540\) | −2.48833 | + | 25.9861i | −0.107081 | + | 1.11826i | ||||
\(541\) | − | 33.9153i | − | 1.45813i | −0.684442 | − | 0.729067i | \(-0.739954\pi\) | ||
0.684442 | − | 0.729067i | \(-0.260046\pi\) | |||||||
\(542\) | 2.75717 | − | 14.1468i | 0.118431 | − | 0.607656i | ||||
\(543\) | 28.4724 | − | 29.0032i | 1.22187 | − | 1.24465i | ||||
\(544\) | 10.7748 | + | 15.4699i | 0.461966 | + | 0.663265i | ||||
\(545\) | 9.49945 | − | 16.4535i | 0.406912 | − | 0.704792i | ||||
\(546\) | 1.35029 | + | 46.1715i | 0.0577871 | + | 1.97596i | ||||
\(547\) | 8.23852 | − | 4.75651i | 0.352254 | − | 0.203374i | −0.313424 | − | 0.949613i | \(-0.601476\pi\) |
0.665677 | + | 0.746240i | \(0.268143\pi\) | |||||||
\(548\) | 4.21849 | − | 0.588586i | 0.180205 | − | 0.0251432i | ||||
\(549\) | 13.6882 | − | 8.24364i | 0.584198 | − | 0.351830i | ||||
\(550\) | −4.96756 | + | 5.70878i | −0.211817 | + | 0.243423i | ||||
\(551\) | 7.46449 | + | 12.9289i | 0.317998 | + | 0.550789i | ||||
\(552\) | −12.5706 | − | 3.97713i | −0.535040 | − | 0.169278i | ||||
\(553\) | 7.38941 | + | 14.3939i | 0.314230 | + | 0.612093i | ||||
\(554\) | −9.16287 | + | 3.14992i | −0.389293 | + | 0.133827i | ||||
\(555\) | 8.52035 | + | 30.6629i | 0.361669 | + | 1.30157i | ||||
\(556\) | 1.44712 | − | 1.12830i | 0.0613717 | − | 0.0478504i | ||||
\(557\) | 30.5678 | 1.29520 | 0.647599 | − | 0.761981i | \(-0.275773\pi\) | ||||
0.647599 | + | 0.761981i | \(0.275773\pi\) | |||||||
\(558\) | −3.25522 | + | 3.88351i | −0.137805 | + | 0.164402i | ||||
\(559\) | − | 75.1069i | − | 3.17669i | ||||||
\(560\) | −6.00742 | − | 25.8963i | −0.253860 | − | 1.09432i | ||||
\(561\) | −22.8322 | − | 5.89244i | −0.963977 | − | 0.248779i | ||||
\(562\) | −6.32342 | + | 2.17381i | −0.266737 | + | 0.0916965i | ||||
\(563\) | −0.848496 | − | 0.489879i | −0.0357598 | − | 0.0206459i | 0.482014 | − | 0.876164i | \(-0.339906\pi\) |
−0.517773 | + | 0.855518i | \(0.673239\pi\) | |||||||
\(564\) | 13.4847 | + | 9.98833i | 0.567808 | + | 0.420584i | ||||
\(565\) | 12.2802 | + | 21.2698i | 0.516630 | + | 0.894829i | ||||
\(566\) | −28.8276 | + | 33.1291i | −1.21172 | + | 1.39252i | ||||
\(567\) | 23.8099 | + | 0.294654i | 0.999923 | + | 0.0123743i | ||||
\(568\) | −12.8464 | + | 19.7172i | −0.539025 | + | 0.827317i | ||||
\(569\) | −25.9899 | + | 15.0053i | −1.08955 | + | 0.629054i | −0.933457 | − | 0.358688i | \(-0.883224\pi\) |
−0.156095 | + | 0.987742i | \(0.549891\pi\) | |||||||
\(570\) | 15.9433 | − | 1.25493i | 0.667792 | − | 0.0525631i | ||||
\(571\) | 3.21671 | + | 1.85717i | 0.134615 | + | 0.0777201i | 0.565795 | − | 0.824546i | \(-0.308569\pi\) |
−0.431180 | + | 0.902266i | \(0.641903\pi\) | |||||||
\(572\) | −53.9701 | − | 21.8679i | −2.25660 | − | 0.914343i | ||||
\(573\) | 8.86806 | − | 34.3622i | 0.370468 | − | 1.43550i | ||||
\(574\) | 9.97666 | − | 10.3840i | 0.416418 | − | 0.433419i | ||||
\(575\) | − | 3.52537i | − | 0.147018i | ||||||
\(576\) | 21.7713 | − | 10.0999i | 0.907139 | − | 0.420830i | ||||
\(577\) | 3.22851i | 0.134405i | 0.997739 | + | 0.0672023i | \(0.0214073\pi\) | ||||
−0.997739 | + | 0.0672023i | \(0.978593\pi\) | |||||||
\(578\) | 8.18053 | + | 1.59436i | 0.340265 | + | 0.0663167i | ||||
\(579\) | −6.37061 | − | 22.9264i | −0.264753 | − | 0.952790i | ||||
\(580\) | −10.8364 | + | 26.7442i | −0.449955 | + | 1.11049i | ||||
\(581\) | 18.9065 | − | 9.70603i | 0.784375 | − | 0.402674i | ||||
\(582\) | −6.56809 | + | 13.7706i | −0.272256 | + | 0.570811i | ||||
\(583\) | 21.9530 | + | 38.0237i | 0.909200 | + | 1.57478i | ||||
\(584\) | 7.24835 | − | 11.1251i | 0.299939 | − | 0.460358i | ||||
\(585\) | −27.7103 | − | 46.0117i | −1.14568 | − | 1.90235i | ||||
\(586\) | −11.5584 | − | 10.0577i | −0.477474 | − | 0.415479i | ||||
\(587\) | 19.4303 | − | 11.2181i | 0.801972 | − | 0.463019i | −0.0421879 | − | 0.999110i | \(-0.513433\pi\) |
0.844160 | + | 0.536091i | \(0.180099\pi\) | |||||||
\(588\) | −23.0852 | + | 7.42125i | −0.952016 | + | 0.306047i | ||||
\(589\) | 2.68849 | + | 1.55220i | 0.110777 | + | 0.0639574i | ||||
\(590\) | −4.41648 | − | 12.8472i | −0.181824 | − | 0.528910i | ||||
\(591\) | 10.7046 | − | 10.9042i | 0.440330 | − | 0.448539i | ||||
\(592\) | 20.3665 | − | 21.0063i | 0.837059 | − | 0.863352i | ||||
\(593\) | −26.3284 | −1.08118 | −0.540588 | − | 0.841287i | \(-0.681798\pi\) | ||||
−0.540588 | + | 0.841287i | \(0.681798\pi\) | |||||||
\(594\) | −12.4206 | + | 27.3288i | −0.509623 | + | 1.12131i | ||||
\(595\) | 18.6123 | + | 12.0065i | 0.763030 | + | 0.492218i | ||||
\(596\) | 36.1480 | − | 28.1840i | 1.48068 | − | 1.15446i | ||||
\(597\) | −14.9384 | − | 14.6651i | −0.611390 | − | 0.600201i | ||||
\(598\) | 25.6543 | − | 8.81921i | 1.04908 | − | 0.360644i | ||||
\(599\) | 7.08382 | + | 4.08985i | 0.289437 | + | 0.167107i | 0.637688 | − | 0.770295i | \(-0.279891\pi\) |
−0.348251 | + | 0.937401i | \(0.613224\pi\) | |||||||
\(600\) | 4.33072 | + | 4.73552i | 0.176801 | + | 0.193327i | ||||
\(601\) | 15.1744 | − | 8.76094i | 0.618976 | − | 0.357366i | −0.157494 | − | 0.987520i | \(-0.550341\pi\) |
0.776470 | + | 0.630154i | \(0.217008\pi\) | |||||||
\(602\) | 37.8732 | − | 10.9645i | 1.54359 | − | 0.446880i | ||||
\(603\) | −0.495429 | + | 0.895923i | −0.0201754 | + | 0.0364848i | ||||
\(604\) | −0.706516 | − | 5.06371i | −0.0287477 | − | 0.206040i | ||||
\(605\) | −12.3730 | + | 7.14353i | −0.503032 | + | 0.290426i | ||||
\(606\) | −0.0394883 | + | 0.0827911i | −0.00160410 | + | 0.00336316i | ||||
\(607\) | 7.58509 | + | 4.37925i | 0.307869 | + | 0.177748i | 0.645973 | − | 0.763361i | \(-0.276452\pi\) |
−0.338103 | + | 0.941109i | \(0.609785\pi\) | |||||||
\(608\) | −8.40332 | − | 12.0650i | −0.340800 | − | 0.489301i | ||||
\(609\) | 25.1310 | + | 7.82567i | 1.01836 | + | 0.317112i | ||||
\(610\) | 3.61960 | − | 18.5719i | 0.146554 | − | 0.751953i | ||||
\(611\) | −34.5274 | −1.39683 | ||||||||
\(612\) | −7.16555 | + | 18.6680i | −0.289650 | + | 0.754609i | ||||
\(613\) | 1.91951i | 0.0775281i | 0.999248 | + | 0.0387641i | \(0.0123421\pi\) | ||||
−0.999248 | + | 0.0387641i | \(0.987658\pi\) | |||||||
\(614\) | −20.3673 | − | 3.96953i | −0.821957 | − | 0.160197i | ||||
\(615\) | −4.18424 | + | 16.2132i | −0.168725 | + | 0.653781i | ||||
\(616\) | 3.14819 | − | 30.4072i | 0.126844 | − | 1.22514i | ||||
\(617\) | 22.0778 | + | 12.7466i | 0.888819 | + | 0.513160i | 0.873556 | − | 0.486723i | \(-0.161808\pi\) |
0.0152632 | + | 0.999884i | \(0.495141\pi\) | |||||||
\(618\) | −36.9260 | + | 2.90651i | −1.48538 | + | 0.116917i | ||||
\(619\) | 14.9276 | + | 25.8554i | 0.599992 | + | 1.03922i | 0.992821 | + | 0.119606i | \(0.0381630\pi\) |
−0.392829 | + | 0.919611i | \(0.628504\pi\) | |||||||
\(620\) | 0.829188 | + | 5.94292i | 0.0333010 | + | 0.238673i | ||||
\(621\) | −3.99225 | − | 13.4026i | −0.160203 | − | 0.537827i | ||||
\(622\) | −5.88069 | + | 6.75816i | −0.235794 | + | 0.270978i | ||||
\(623\) | −5.36037 | − | 0.264550i | −0.214759 | − | 0.0105990i | ||||
\(624\) | −23.6267 | + | 43.3615i | −0.945826 | + | 1.73585i | ||||
\(625\) | 14.9168 | − | 25.8367i | 0.596673 | − | 1.03347i | ||||
\(626\) | −19.0483 | + | 6.54826i | −0.761324 | + | 0.261721i | ||||
\(627\) | 17.8070 | + | 4.59554i | 0.711141 | + | 0.183528i | ||||
\(628\) | −19.7628 | + | 15.4087i | −0.788623 | + | 0.614876i | ||||
\(629\) | 24.3772i | 0.971982i | ||||||||
\(630\) | 19.1564 | − | 20.6901i | 0.763209 | − | 0.824313i | ||||
\(631\) | 22.5104 | 0.896124 | 0.448062 | − | 0.894002i | \(-0.352114\pi\) | ||||
0.448062 | + | 0.894002i | \(0.352114\pi\) | |||||||
\(632\) | −0.931062 | + | 17.2720i | −0.0370357 | + | 0.687042i | ||||
\(633\) | −16.0892 | + | 4.47074i | −0.639489 | + | 0.177696i | ||||
\(634\) | −3.88219 | − | 11.2930i | −0.154181 | − | 0.448501i | ||||
\(635\) | 15.4741 | + | 8.93398i | 0.614071 | + | 0.354534i | ||||
\(636\) | 34.1513 | − | 14.8296i | 1.35419 | − | 0.588031i | ||||
\(637\) | 29.0794 | − | 40.5416i | 1.15217 | − | 1.60632i | ||||
\(638\) | −21.7822 | + | 25.0323i | −0.862364 | + | 0.991040i | ||||
\(639\) | −24.9562 | + | 0.460974i | −0.987253 | + | 0.0182359i | ||||
\(640\) | 8.40374 | − | 27.1486i | 0.332187 | − | 1.07314i | ||||
\(641\) | −21.1575 | + | 12.2153i | −0.835671 | + | 0.482475i | −0.855790 | − | 0.517323i | \(-0.826929\pi\) |
0.0201196 | + | 0.999798i | \(0.493595\pi\) | |||||||
\(642\) | 39.2779 | − | 26.9955i | 1.55018 | − | 1.06543i | ||||
\(643\) | −1.25117 | + | 2.16709i | −0.0493414 | + | 0.0854618i | −0.889641 | − | 0.456660i | \(-0.849046\pi\) |
0.840300 | + | 0.542122i | \(0.182379\pi\) | |||||||
\(644\) | 8.19230 | + | 11.6489i | 0.322822 | + | 0.459031i | ||||
\(645\) | −32.1184 | + | 32.7172i | −1.26466 | + | 1.28824i | ||||
\(646\) | 12.0239 | + | 2.34342i | 0.473073 | + | 0.0922006i | ||||
\(647\) | 4.41702 | 0.173651 | 0.0868254 | − | 0.996224i | \(-0.472328\pi\) | ||||
0.0868254 | + | 0.996224i | \(0.472328\pi\) | |||||||
\(648\) | 21.8270 | + | 13.0990i | 0.857444 | + | 0.514577i | ||||
\(649\) | − | 15.6219i | − | 0.613214i | ||||||
\(650\) | −12.9597 | − | 2.52580i | −0.508320 | − | 0.0990701i | ||||
\(651\) | 5.33938 | − | 1.20364i | 0.209267 | − | 0.0471744i | ||||
\(652\) | −6.43504 | + | 15.8817i | −0.252016 | + | 0.621977i | ||||
\(653\) | 9.85771 | − | 17.0741i | 0.385762 | − | 0.668160i | −0.606113 | − | 0.795379i | \(-0.707272\pi\) |
0.991875 | + | 0.127219i | \(0.0406052\pi\) | |||||||
\(654\) | −10.4937 | − | 15.2680i | −0.410335 | − | 0.597028i | ||||
\(655\) | 6.43384 | + | 11.1437i | 0.251391 | + | 0.435422i | ||||
\(656\) | 14.8063 | − | 4.21375i | 0.578091 | − | 0.164519i | ||||
\(657\) | 14.0810 | − | 0.260095i | 0.549354 | − | 0.0101473i | ||||
\(658\) | −5.04048 | − | 17.4106i | −0.196499 | − | 0.678738i | ||||
\(659\) | 9.56805 | + | 16.5723i | 0.372718 | + | 0.645567i | 0.989983 | − | 0.141189i | \(-0.0450925\pi\) |
−0.617265 | + | 0.786756i | \(0.711759\pi\) | |||||||
\(660\) | 14.1583 | + | 32.6054i | 0.551111 | + | 1.26916i | ||||
\(661\) | 9.43468 | − | 16.3414i | 0.366967 | − | 0.635605i | −0.622123 | − | 0.782919i | \(-0.713730\pi\) |
0.989090 | + | 0.147315i | \(0.0470630\pi\) | |||||||
\(662\) | −5.87016 | + | 2.01799i | −0.228150 | + | 0.0784313i | ||||
\(663\) | −11.0149 | − | 39.6403i | −0.427784 | − | 1.53950i | ||||
\(664\) | 22.6868 | + | 1.22295i | 0.880419 | + | 0.0474598i | ||||
\(665\) | −14.5158 | − | 9.36392i | −0.562899 | − | 0.363117i | ||||
\(666\) | 30.5646 | + | 5.37305i | 1.18436 | + | 0.208201i | ||||
\(667\) | − | 15.4584i | − | 0.598550i | ||||||
\(668\) | 11.3395 | − | 8.84125i | 0.438740 | − | 0.342078i | ||||
\(669\) | 5.66591 | − | 21.9544i | 0.219057 | − | 0.848808i | ||||
\(670\) | 0.394117 | + | 1.14645i | 0.0152261 | + | 0.0442914i | ||||
\(671\) | 10.8791 | − | 18.8431i | 0.419982 | − | 0.727431i | ||||
\(672\) | −25.3144 | − | 5.58380i | −0.976526 | − | 0.215400i | ||||
\(673\) | 19.5846 | + | 33.9214i | 0.754929 | + | 1.30758i | 0.945410 | + | 0.325884i | \(0.105662\pi\) |
−0.190481 | + | 0.981691i | \(0.561005\pi\) | |||||||
\(674\) | 23.3406 | − | 26.8233i | 0.899045 | − | 1.03319i | ||||
\(675\) | −1.57885 | + | 6.62080i | −0.0607699 | + | 0.254835i | ||||
\(676\) | −10.4471 | − | 74.8763i | −0.401813 | − | 2.87986i | ||||
\(677\) | 7.15258 | − | 4.12954i | 0.274896 | − | 0.158711i | −0.356215 | − | 0.934404i | \(-0.615933\pi\) |
0.631110 | + | 0.775693i | \(0.282599\pi\) | |||||||
\(678\) | 23.8757 | − | 1.87930i | 0.916942 | − | 0.0721741i | ||||
\(679\) | 14.6602 | − | 7.52612i | 0.562609 | − | 0.288826i | ||||
\(680\) | 10.7181 | + | 21.1134i | 0.411021 | + | 0.809663i | ||||
\(681\) | 9.66079 | − | 37.4339i | 0.370202 | − | 1.43447i | ||||
\(682\) | −1.31998 | + | 6.77270i | −0.0505447 | + | 0.259340i | ||||
\(683\) | 21.3284 | 0.816108 | 0.408054 | − | 0.912958i | \(-0.366207\pi\) | ||||
0.408054 | + | 0.912958i | \(0.366207\pi\) | |||||||
\(684\) | 5.58844 | − | 14.5593i | 0.213680 | − | 0.556687i | ||||
\(685\) | 5.34964 | 0.204399 | ||||||||
\(686\) | 24.6886 | + | 8.74501i | 0.942613 | + | 0.333886i | ||||
\(687\) | 2.55701 | + | 9.20212i | 0.0975559 | + | 0.351083i | ||||
\(688\) | 40.8783 | + | 10.2786i | 1.55847 | + | 0.391869i | ||||
\(689\) | −38.3029 | + | 66.3425i | −1.45922 | + | 2.52745i | ||||
\(690\) | −14.9466 | − | 7.12899i | −0.569008 | − | 0.271396i | ||||
\(691\) | −18.4593 | − | 31.9724i | −0.702223 | − | 1.21629i | −0.967684 | − | 0.252165i | \(-0.918858\pi\) |
0.265461 | − | 0.964122i | \(-0.414476\pi\) | |||||||
\(692\) | −5.78682 | + | 0.807408i | −0.219982 | + | 0.0306930i | ||||
\(693\) | 28.5667 | − | 15.3384i | 1.08516 | − | 0.582656i | ||||
\(694\) | −30.0753 | + | 34.5630i | −1.14164 | + | 1.31199i | ||||
\(695\) | 1.99594 | − | 1.15236i | 0.0757103 | − | 0.0437114i | ||||
\(696\) | 18.9897 | + | 20.7647i | 0.719803 | + | 0.787084i | ||||
\(697\) | −6.41299 | + | 11.1076i | −0.242909 | + | 0.420732i | ||||
\(698\) | 2.81950 | + | 8.20168i | 0.106720 | + | 0.310438i | ||||
\(699\) | −10.1645 | − | 9.97851i | −0.384458 | − | 0.377422i | ||||
\(700\) | −0.618267 | − | 6.90372i | −0.0233683 | − | 0.260936i | ||||
\(701\) | 12.8202 | 0.484214 | 0.242107 | − | 0.970250i | \(-0.422162\pi\) | ||||
0.242107 | + | 0.970250i | \(0.422162\pi\) | |||||||
\(702\) | −52.1297 | + | 5.07350i | −1.96751 | + | 0.191487i | ||||
\(703\) | − | 19.0119i | − | 0.717046i | ||||||
\(704\) | 19.2880 | − | 26.3815i | 0.726943 | − | 0.994290i | ||||
\(705\) | 15.0404 | + | 14.7651i | 0.566454 | + | 0.556087i | ||||
\(706\) | 8.89365 | + | 25.8709i | 0.334717 | + | 0.973663i | ||||
\(707\) | 0.0881395 | − | 0.0452481i | 0.00331483 | − | 0.00170173i | ||||
\(708\) | −13.1614 | − | 1.50606i | −0.494637 | − | 0.0566013i | ||||
\(709\) | −25.0800 | + | 14.4799i | −0.941899 | + | 0.543805i | −0.890555 | − | 0.454876i | \(-0.849684\pi\) |
−0.0513436 | + | 0.998681i | \(0.516350\pi\) | |||||||
\(710\) | −19.4021 | + | 22.2972i | −0.728149 | + | 0.836798i | ||||
\(711\) | −15.7162 | + | 9.46501i | −0.589405 | + | 0.354965i | ||||
\(712\) | −4.80716 | − | 3.13202i | −0.180156 | − | 0.117378i | ||||
\(713\) | −1.60724 | − | 2.78382i | −0.0601917 | − | 0.104255i | ||||
\(714\) | 18.3809 | − | 11.3412i | 0.687886 | − | 0.424435i | ||||
\(715\) | −63.3395 | − | 36.5691i | −2.36876 | − | 1.36761i | ||||
\(716\) | −5.91471 | − | 2.39655i | −0.221043 | − | 0.0895633i | ||||
\(717\) | 3.57257 | − | 0.992715i | 0.133420 | − | 0.0370736i | ||||
\(718\) | −3.36976 | + | 17.2899i | −0.125758 | + | 0.645255i | ||||
\(719\) | 29.4582 | 1.09860 | 0.549302 | − | 0.835624i | \(-0.314894\pi\) | ||||
0.549302 | + | 0.835624i | \(0.314894\pi\) | |||||||
\(720\) | 28.8349 | − | 8.78494i | 1.07461 | − | 0.327396i | ||||
\(721\) | 33.6198 | + | 21.6876i | 1.25207 | + | 0.807688i | ||||
\(722\) | 16.9964 | + | 3.31254i | 0.632539 | + | 0.123280i | ||||
\(723\) | −8.08177 | + | 31.3155i | −0.300564 | + | 1.16464i | ||||
\(724\) | −43.4958 | − | 17.6239i | −1.61651 | − | 0.654986i | ||||
\(725\) | −3.76189 | + | 6.51579i | −0.139713 | + | 0.241990i | ||||
\(726\) | 1.09321 | + | 13.8888i | 0.0405730 | + | 0.515463i | ||||
\(727\) | −27.0277 | + | 15.6045i | −1.00240 | + | 0.578737i | −0.908958 | − | 0.416887i | \(-0.863121\pi\) |
−0.0934443 | + | 0.995625i | \(0.529788\pi\) | |||||||
\(728\) | 48.6921 | − | 21.7698i | 1.80465 | − | 0.806842i | ||||
\(729\) | 1.49524 | + | 26.9586i | 0.0553793 | + | 0.998465i | ||||
\(730\) | 10.9473 | − | 12.5807i | 0.405177 | − | 0.465634i | ||||
\(731\) | −30.4136 | + | 17.5593i | −1.12489 | + | 0.649453i | ||||
\(732\) | −14.8265 | − | 10.9822i | −0.548001 | − | 0.405914i | ||||
\(733\) | −18.0362 | + | 31.2397i | −0.666183 | + | 1.15386i | 0.312780 | + | 0.949826i | \(0.398740\pi\) |
−0.978963 | + | 0.204037i | \(0.934594\pi\) | |||||||
\(734\) | −36.7292 | + | 12.6264i | −1.35570 | + | 0.466050i | ||||
\(735\) | −30.0043 | + | 5.22485i | −1.10672 | + | 0.192721i | ||||
\(736\) | 1.28913 | + | 15.1698i | 0.0475179 | + | 0.559164i | ||||
\(737\) | 1.39407i | 0.0513511i | ||||||||
\(738\) | 12.5135 | + | 10.4890i | 0.460627 | + | 0.386106i | ||||
\(739\) | 5.28763i | 0.194509i | 0.995260 | + | 0.0972543i | \(0.0310060\pi\) | ||||
−0.995260 | + | 0.0972543i | \(0.968994\pi\) | |||||||
\(740\) | 28.9803 | − | 22.5954i | 1.06534 | − | 0.830625i | ||||
\(741\) | 8.59058 | + | 30.9156i | 0.315583 | + | 1.13571i | ||||
\(742\) | −39.0453 | − | 9.62945i | −1.43340 | − | 0.353508i | ||||
\(743\) | −16.9518 | − | 9.78712i | −0.621901 | − | 0.359055i | 0.155708 | − | 0.987803i | \(-0.450234\pi\) |
−0.777609 | + | 0.628749i | \(0.783567\pi\) | |||||||
\(744\) | 5.57872 | + | 1.76501i | 0.204526 | + | 0.0647086i | ||||
\(745\) | 49.8571 | − | 28.7850i | 1.82662 | − | 1.05460i | ||||
\(746\) | −5.36910 | − | 4.67199i | −0.196577 | − | 0.171054i | ||||
\(747\) | 12.4323 | + | 20.6433i | 0.454875 | + | 0.755301i | ||||
\(748\) | 3.76258 | + | 26.9670i | 0.137573 | + | 0.986011i | ||||
\(749\) | −51.4165 | − | 2.53756i | −1.87872 | − | 0.0927205i | ||||
\(750\) | −12.8605 | − | 18.7118i | −0.469600 | − | 0.683258i | ||||
\(751\) | −12.0067 | + | 20.7963i | −0.438132 | + | 0.758867i | −0.997545 | − | 0.0700218i | \(-0.977693\pi\) |
0.559413 | + | 0.828889i | \(0.311026\pi\) | |||||||
\(752\) | 4.72518 | − | 18.7921i | 0.172310 | − | 0.685278i | ||||
\(753\) | 22.5105 | + | 22.0986i | 0.820329 | + | 0.805316i | ||||
\(754\) | −56.8266 | − | 11.0754i | −2.06950 | − | 0.403340i | ||||
\(755\) | − | 6.42151i | − | 0.233703i | ||||||
\(756\) | −10.1685 | − | 25.5461i | −0.369825 | − | 0.929101i | ||||
\(757\) | − | 23.5249i | − | 0.855026i | −0.904009 | − | 0.427513i | \(-0.859390\pi\) | ||
0.904009 | − | 0.427513i | \(-0.140610\pi\) | |||||||
\(758\) | 5.98505 | − | 30.7088i | 0.217387 | − | 1.11539i | ||||
\(759\) | −13.5889 | − | 13.3402i | −0.493244 | − | 0.484217i | ||||
\(760\) | −8.35912 | − | 16.4665i | −0.303217 | − | 0.597301i | ||||
\(761\) | 21.3066 | − | 36.9042i | 0.772365 | − | 1.33778i | −0.163898 | − | 0.986477i | \(-0.552407\pi\) |
0.936264 | − | 0.351298i | \(-0.114260\pi\) | |||||||
\(762\) | 14.3592 | − | 9.86901i | 0.520179 | − | 0.357516i | ||||
\(763\) | −0.986397 | + | 19.9866i | −0.0357100 | + | 0.723562i | ||||
\(764\) | −40.5850 | + | 5.66263i | −1.46831 | + | 0.204867i | ||||
\(765\) | −12.1534 | + | 21.9780i | −0.439408 | + | 0.794616i | ||||
\(766\) | 13.2153 | − | 15.1872i | 0.477489 | − | 0.548736i | ||||
\(767\) | 23.6049 | − | 13.6283i | 0.852325 | − | 0.492090i | ||||
\(768\) | −20.3668 | − | 18.7934i | −0.734925 | − | 0.678149i | ||||
\(769\) | −16.0999 | − | 9.29529i | −0.580578 | − | 0.335197i | 0.180785 | − | 0.983523i | \(-0.442136\pi\) |
−0.761363 | + | 0.648326i | \(0.775469\pi\) | |||||||
\(770\) | 9.19356 | − | 37.2779i | 0.331313 | − | 1.34340i | ||||
\(771\) | −5.39792 | − | 19.4259i | −0.194401 | − | 0.699608i | ||||
\(772\) | −21.6684 | + | 16.8945i | −0.779862 | + | 0.608045i | ||||
\(773\) | − | 3.85877i | − | 0.138790i | −0.997589 | − | 0.0693952i | \(-0.977893\pi\) | ||
0.997589 | − | 0.0693952i | \(-0.0221069\pi\) | |||||||
\(774\) | 15.3126 | + | 42.0035i | 0.550402 | + | 1.50978i | ||||
\(775\) | 1.56453i | 0.0561996i | ||||||||
\(776\) | 17.5915 | + | 0.948287i | 0.631498 | + | 0.0340415i | ||||
\(777\) | −22.7334 | − | 24.6327i | −0.815555 | − | 0.883694i | ||||
\(778\) | −11.3530 | − | 33.0249i | −0.407024 | − | 1.18400i | ||||
\(779\) | 5.00152 | − | 8.66289i | 0.179198 | − | 0.310380i | ||||
\(780\) | −36.9157 | + | 49.8378i | −1.32179 | + | 1.78448i | ||||
\(781\) | −29.4347 | + | 16.9941i | −1.05326 | + | 0.608098i | ||||
\(782\) | −9.56895 | − | 8.32653i | −0.342185 | − | 0.297756i | ||||
\(783\) | −6.92307 | + | 29.0315i | −0.247410 | + | 1.03750i | ||||
\(784\) | 18.0859 | + | 21.3752i | 0.645924 | + | 0.763401i | ||||
\(785\) | −27.2578 | + | 15.7373i | −0.972874 | + | 0.561689i | ||||
\(786\) | 12.5090 | − | 0.984608i | 0.446182 | − | 0.0351198i | ||||
\(787\) | −0.480598 | + | 0.832421i | −0.0171315 | + | 0.0296726i | −0.874464 | − | 0.485090i | \(-0.838787\pi\) |
0.857333 | + | 0.514763i | \(0.172120\pi\) | |||||||
\(788\) | −16.3529 | − | 6.62596i | −0.582549 | − | 0.236040i | ||||
\(789\) | −6.48294 | + | 25.1203i | −0.230799 | + | 0.894306i | ||||
\(790\) | −4.15588 | + | 21.3235i | −0.147860 | + | 0.758655i | ||||
\(791\) | −21.7380 | − | 14.0228i | −0.772914 | − | 0.498595i | ||||
\(792\) | 34.6411 | + | 1.22627i | 1.23092 | + | 0.0435738i | ||||
\(793\) | 37.9630 | 1.34810 | ||||||||
\(794\) | −28.1034 | − | 5.47727i | −0.997351 | − | 0.194381i | ||||
\(795\) | 45.0555 | − | 12.5196i | 1.59795 | − | 0.444026i | ||||
\(796\) | −9.07738 | + | 22.4030i | −0.321739 | + | 0.794054i | ||||
\(797\) | 41.0332 | + | 23.6906i | 1.45347 | + | 0.839162i | 0.998676 | − | 0.0514334i | \(-0.0163790\pi\) |
0.454796 | + | 0.890596i | \(0.349712\pi\) | |||||||
\(798\) | −14.3353 | + | 8.84508i | −0.507465 | + | 0.313112i | ||||
\(799\) | 8.07216 | + | 13.9814i | 0.285573 | + | 0.494626i | ||||
\(800\) | 3.14828 | − | 6.70786i | 0.111309 | − | 0.237159i | ||||
\(801\) | −0.112388 | − | 6.08445i | −0.00397102 | − | 0.214983i | ||||
\(802\) | −38.1245 | − | 33.1745i | −1.34622 | − | 1.17143i | ||||
\(803\) | 16.6079 | − | 9.58860i | 0.586082 | − | 0.338374i | ||||
\(804\) | 1.17450 | + | 0.134398i | 0.0414213 | + | 0.00473984i | ||||
\(805\) | 8.16884 | + | 15.9122i | 0.287914 | + | 0.560832i | ||||
\(806\) | −11.3852 | + | 3.91389i | −0.401026 | + | 0.137861i | ||||
\(807\) | −12.0876 | − | 11.8664i | −0.425504 | − | 0.417717i | ||||
\(808\) | 0.105763 | + | 0.00570124i | 0.00372072 | + | 0.000200569i | ||||
\(809\) | − | 5.02516i | − | 0.176675i | −0.996091 | − | 0.0883376i | \(-0.971845\pi\) | ||
0.996091 | − | 0.0883376i | \(-0.0281554\pi\) | |||||||
\(810\) | 24.8777 | + | 20.0825i | 0.874113 | + | 0.705625i | ||||
\(811\) | 14.3208 | 0.502871 | 0.251435 | − | 0.967874i | \(-0.419097\pi\) | ||||
0.251435 | + | 0.967874i | \(0.419097\pi\) | |||||||
\(812\) | −2.71103 | − | 30.2720i | −0.0951385 | − | 1.06234i | ||||
\(813\) | −12.5967 | − | 12.3662i | −0.441786 | − | 0.433701i | ||||
\(814\) | 39.9621 | − | 13.7378i | 1.40067 | − | 0.481510i | ||||
\(815\) | −10.7611 | + | 18.6388i | −0.376946 | + | 0.652890i | ||||
\(816\) | 23.0823 | − | 0.570156i | 0.808044 | − | 0.0199595i | ||||
\(817\) | 23.7197 | − | 13.6946i | 0.829846 | − | 0.479112i | ||||
\(818\) | −31.2496 | − | 27.1922i | −1.09262 | − | 0.950754i | ||||
\(819\) | 48.0976 | + | 29.7837i | 1.68067 | + | 1.04073i | ||||
\(820\) | 19.1493 | − | 2.67182i | 0.668724 | − | 0.0933039i | ||||
\(821\) | 8.71307 | + | 15.0915i | 0.304088 | + | 0.526697i | 0.977058 | − | 0.212974i | \(-0.0683149\pi\) |
−0.672970 | + | 0.739670i | \(0.734982\pi\) | |||||||
\(822\) | 2.24577 | − | 4.70847i | 0.0783301 | − | 0.164227i | ||||
\(823\) | −20.5337 | + | 35.5654i | −0.715759 | + | 1.23973i | 0.246908 | + | 0.969039i | \(0.420586\pi\) |
−0.962666 | + | 0.270691i | \(0.912748\pi\) | |||||||
\(824\) | 19.3604 | + | 38.1376i | 0.674451 | + | 1.32859i | ||||
\(825\) | 2.48136 | + | 8.92989i | 0.0863900 | + | 0.310899i | ||||
\(826\) | 10.3181 | + | 9.91341i | 0.359014 | + | 0.344932i | ||||
\(827\) | 12.5790 | 0.437414 | 0.218707 | − | 0.975791i | \(-0.429816\pi\) | ||||
0.218707 | + | 0.975791i | \(0.429816\pi\) | |||||||
\(828\) | −12.5491 | + | 10.1625i | −0.436112 | + | 0.353171i | ||||
\(829\) | 22.4963 | 0.781328 | 0.390664 | − | 0.920533i | \(-0.372245\pi\) | ||||
0.390664 | + | 0.920533i | \(0.372245\pi\) | |||||||
\(830\) | 28.0085 | + | 5.45877i | 0.972188 | + | 0.189477i | ||||
\(831\) | −2.96537 | + | 11.4903i | −0.102867 | + | 0.398594i | ||||
\(832\) | 56.6893 | + | 6.12960i | 1.96535 | + | 0.212506i | ||||
\(833\) | −23.2153 | − | 2.29708i | −0.804362 | − | 0.0795893i | ||||
\(834\) | −0.176352 | − | 2.24047i | −0.00610656 | − | 0.0775813i | ||||
\(835\) | 15.6400 | − | 9.02978i | 0.541246 | − | 0.312488i | ||||
\(836\) | −2.93445 | − | 21.0317i | −0.101490 | − | 0.727396i | ||||
\(837\) | 1.77173 | + | 5.94795i | 0.0612398 | + | 0.205591i | ||||
\(838\) | −21.4623 | − | 18.6757i | −0.741403 | − | 0.645140i | ||||
\(839\) | −15.9121 | − | 27.5606i | −0.549347 | − | 0.951497i | −0.998319 | − | 0.0579515i | \(-0.981543\pi\) |
0.448972 | − | 0.893546i | \(-0.351790\pi\) | |||||||
\(840\) | −30.5202 | − | 11.3394i | −1.05305 | − | 0.391246i | ||||
\(841\) | −1.99546 | + | 3.45624i | −0.0688091 | + | 0.119181i | ||||
\(842\) | 47.3129 | − | 16.2648i | 1.63051 | − | 0.560522i | ||||
\(843\) | −2.04644 | + | 7.92961i | −0.0704831 | + | 0.273110i | ||||
\(844\) | 11.8561 | + | 15.2063i | 0.408105 | + | 0.523424i | ||||
\(845\) | − | 94.9538i | − | 3.26651i | ||||||
\(846\) | 19.3094 | − | 7.03937i | 0.663870 | − | 0.242018i | ||||
\(847\) | 8.15727 | − | 12.6453i | 0.280287 | − | 0.434497i | ||||
\(848\) | −30.8662 | − | 29.9262i | −1.05995 | − | 1.02767i | ||||
\(849\) | 14.3998 | + | 51.8218i | 0.494200 | + | 1.77852i | ||||
\(850\) | 2.00705 | + | 5.83835i | 0.0688414 | + | 0.200254i | ||||
\(851\) | −9.84301 | + | 17.0486i | −0.337414 | + | 0.584418i | ||||
\(852\) | 11.4798 | + | 26.4370i | 0.393291 | + | 0.905717i | ||||
\(853\) | −15.9619 | − | 27.6469i | −0.546526 | − | 0.946611i | −0.998509 | − | 0.0545847i | \(-0.982617\pi\) |
0.451983 | − | 0.892027i | \(-0.350717\pi\) | |||||||
\(854\) | 5.54203 | + | 19.1431i | 0.189644 | + | 0.655062i | ||||
\(855\) | 9.47851 | − | 17.1407i | 0.324158 | − | 0.586200i | ||||
\(856\) | −46.1101 | − | 30.0423i | −1.57601 | − | 1.02682i | ||||
\(857\) | −7.89332 | − | 13.6716i | −0.269631 | − | 0.467014i | 0.699136 | − | 0.714989i | \(-0.253568\pi\) |
−0.968766 | + | 0.247975i | \(0.920235\pi\) | |||||||
\(858\) | −58.7759 | + | 40.3964i | −2.00657 | + | 1.37911i | ||||
\(859\) | −24.0785 | + | 41.7052i | −0.821549 | + | 1.42296i | 0.0829803 | + | 0.996551i | \(0.473556\pi\) |
−0.904529 | + | 0.426413i | \(0.859777\pi\) | |||||||
\(860\) | 49.0656 | + | 19.8807i | 1.67312 | + | 0.677925i | ||||
\(861\) | −3.87839 | − | 17.2046i | −0.132175 | − | 0.586332i | ||||
\(862\) | 0.217854 | − | 1.11779i | 0.00742012 | − | 0.0380720i | ||||
\(863\) | − | 21.8744i | − | 0.744614i | −0.928110 | − | 0.372307i | \(-0.878567\pi\) | ||
0.928110 | − | 0.372307i | \(-0.121433\pi\) | |||||||
\(864\) | 4.37277 | − | 29.0668i | 0.148765 | − | 0.988873i | ||||
\(865\) | −7.33851 | −0.249517 | ||||||||
\(866\) | 8.02032 | − | 41.1516i | 0.272542 | − | 1.39839i | ||||
\(867\) | 7.15088 | − | 7.28419i | 0.242857 | − | 0.247384i | ||||
\(868\) | −3.63567 | − | 5.16968i | −0.123403 | − | 0.175470i | ||||
\(869\) | −12.4909 | + | 21.6349i | −0.423725 | + | 0.733914i | ||||
\(870\) | 20.0179 | + | 29.1256i | 0.678670 | + | 0.987450i | ||||
\(871\) | −2.10645 | + | 1.21616i | −0.0713744 | + | 0.0412080i | ||||
\(872\) | −11.6780 | + | 17.9239i | −0.395467 | + | 0.606978i | ||||
\(873\) | 9.64011 | + | 16.0070i | 0.326268 | + | 0.541754i | ||||
\(874\) | 7.46287 | + | 6.49390i | 0.252435 | + | 0.219660i | ||||
\(875\) | −1.20888 | + | 24.4946i | −0.0408677 | + | 0.828068i | ||||
\(876\) | −6.47725 | − | 14.9165i | −0.218846 | − | 0.503983i | ||||
\(877\) | 3.45422 | + | 1.99430i | 0.116641 | + | 0.0673426i | 0.557185 | − | 0.830388i | \(-0.311881\pi\) |
−0.440545 | + | 0.897731i | \(0.645215\pi\) | |||||||
\(878\) | 44.5272 | − | 15.3071i | 1.50272 | − | 0.516591i | ||||
\(879\) | −18.0801 | + | 5.02395i | −0.609828 | + | 0.169454i | ||||
\(880\) | 28.5716 | − | 29.4690i | 0.963147 | − | 0.993400i | ||||
\(881\) | 31.2214 | 1.05188 | 0.525939 | − | 0.850523i | \(-0.323714\pi\) | ||||
0.525939 | + | 0.850523i | \(0.323714\pi\) | |||||||
\(882\) | −7.99709 | + | 28.6015i | −0.269276 | + | 0.963063i | ||||
\(883\) | 4.37577i | 0.147256i | 0.997286 | + | 0.0736282i | \(0.0234578\pi\) | ||||
−0.997286 | + | 0.0736282i | \(0.976542\pi\) | |||||||
\(884\) | −37.4651 | + | 29.2109i | −1.26009 | + | 0.982468i | ||||
\(885\) | −16.1104 | − | 4.15772i | −0.541547 | − | 0.139760i | ||||
\(886\) | 1.76860 | + | 5.14469i | 0.0594171 | + | 0.172839i | ||||
\(887\) | −2.38625 | + | 4.13310i | −0.0801223 | + | 0.138776i | −0.903302 | − | 0.429005i | \(-0.858864\pi\) |
0.823180 | + | 0.567780i | \(0.192198\pi\) | |||||||
\(888\) | −7.72144 | − | 34.9924i | −0.259114 | − | 1.17427i | ||||
\(889\) | −18.7968 | − | 0.927680i | −0.630425 | − | 0.0311134i | ||||
\(890\) | −5.43616 | − | 4.73033i | −0.182220 | − | 0.158561i | ||||
\(891\) | 19.5460 | + | 31.1392i | 0.654817 | + | 1.04320i | ||||
\(892\) | −25.9302 | + | 3.61793i | −0.868209 | + | 0.121137i | ||||
\(893\) | −6.29552 | − | 10.9042i | −0.210671 | − | 0.364894i | ||||
\(894\) | −4.40513 | − | 55.9653i | −0.147330 | − | 1.87176i | ||||
\(895\) | −6.94151 | − | 4.00769i | −0.232029 | − | 0.133962i | ||||
\(896\) | 5.18491 | + | 29.4808i | 0.173216 | + | 0.984884i | ||||
\(897\) | 8.30248 | − | 32.1707i | 0.277212 | − | 1.07415i | ||||
\(898\) | −5.57336 | + | 28.5964i | −0.185985 | + | 0.954274i | ||||
\(899\) | 6.86029i | 0.228803i | ||||||||
\(900\) | 7.76263 | − | 1.22964i | 0.258754 | − | 0.0409879i | ||||
\(901\) | 35.8194 | 1.19332 | ||||||||
\(902\) | 21.8231 | + | 4.25326i | 0.726629 | + | 0.141618i | ||||
\(903\) | 14.3572 | − | 46.1060i | 0.477777 | − | 1.53431i | ||||
\(904\) | −12.5181 | − | 24.6592i | −0.416346 | − | 0.820151i | ||||
\(905\) | −51.0468 | − | 29.4719i | −1.69685 | − | 0.979679i | ||||
\(906\) | −5.65186 | − | 2.69573i | −0.187771 | − | 0.0895597i | ||||
\(907\) | −21.1939 | + | 12.2363i | −0.703731 | + | 0.406299i | −0.808735 | − | 0.588173i | \(-0.799848\pi\) |
0.105005 | + | 0.994472i | \(0.466514\pi\) | |||||||
\(908\) | −44.2130 | + | 6.16883i | −1.46726 | + | 0.204720i | ||||
\(909\) | 0.0579577 | + | 0.0962363i | 0.00192234 | + | 0.00319196i | ||||
\(910\) | 64.3477 | − | 18.6290i | 2.13311 | − | 0.617547i | ||||
\(911\) | 2.86688 | − | 1.65519i | 0.0949840 | − | 0.0548391i | −0.451756 | − | 0.892142i | \(-0.649202\pi\) |
0.546740 | + | 0.837303i | \(0.315869\pi\) | |||||||
\(912\) | −18.0020 | + | 0.444667i | −0.596107 | + | 0.0147244i | ||||
\(913\) | 28.4175 | + | 16.4069i | 0.940484 | + | 0.542988i | ||||
\(914\) | −9.68857 | − | 28.1832i | −0.320470 | − | 0.932219i | ||||
\(915\) | −16.5370 | − | 16.2343i | −0.546695 | − | 0.536690i | ||||
\(916\) | 8.69716 | − | 6.78103i | 0.287362 | − | 0.224052i | ||||
\(917\) | −11.3890 | − | 7.34687i | −0.376098 | − | 0.242615i | ||||
\(918\) | 14.2419 | + | 19.9231i | 0.470051 | + | 0.657560i | ||||
\(919\) | −28.0405 | −0.924971 | −0.462485 | − | 0.886627i | \(-0.653042\pi\) | ||||
−0.462485 | + | 0.886627i | \(0.653042\pi\) | |||||||
\(920\) | −1.02927 | + | 19.0938i | −0.0339340 | + | 0.629504i | ||||
\(921\) | −17.8037 | + | 18.1356i | −0.586653 | + | 0.597590i | ||||
\(922\) | 17.9179 | − | 6.15966i | 0.590096 | − | 0.202858i | ||||
\(923\) | −51.3568 | − | 29.6508i | −1.69043 | − | 0.975969i | ||||
\(924\) | −28.9505 | − | 23.7408i | −0.952403 | − | 0.781016i | ||||
\(925\) | 8.29777 | − | 4.79072i | 0.272829 | − | 0.157518i | ||||
\(926\) | 1.17640 | − | 1.35194i | 0.0386590 | − | 0.0444274i | ||||
\(927\) | −21.9530 | + | 39.6993i | −0.721030 | + | 1.30390i | ||||
\(928\) | 13.8049 | − | 29.4132i | 0.453167 | − | 0.965535i | ||||
\(929\) | 22.1554 | + | 38.3743i | 0.726895 | + | 1.25902i | 0.958189 | + | 0.286135i | \(0.0923705\pi\) |
−0.231295 | + | 0.972884i | \(0.574296\pi\) | |||||||
\(930\) | 6.63319 | + | 3.16379i | 0.217511 | + | 0.103745i | ||||
\(931\) | 18.1057 | + | 1.79151i | 0.593391 | + | 0.0587143i | ||||
\(932\) | −6.17650 | + | 15.2436i | −0.202318 | + | 0.499322i | ||||
\(933\) | 2.93749 | + | 10.5714i | 0.0961690 | + | 0.346091i | ||||
\(934\) | 2.51913 | − | 12.9254i | 0.0824283 | − | 0.422932i | ||||
\(935\) | 34.1980i | 1.11839i | ||||||||
\(936\) | 28.3674 | + | 53.4130i | 0.927219 | + | 1.74586i | ||||
\(937\) | − | 27.9959i | − | 0.914588i | −0.889316 | − | 0.457294i | \(-0.848819\pi\) | ||
0.889316 | − | 0.457294i | \(-0.151181\pi\) | |||||||
\(938\) | −0.920768 | − | 0.884651i | −0.0300641 | − | 0.0288849i | ||||
\(939\) | −6.16459 | + | 23.8867i | −0.201174 | + | 0.779514i | ||||
\(940\) | 9.13932 | − | 22.5559i | 0.298092 | − | 0.735693i | ||||
\(941\) | −27.1490 | − | 15.6745i | −0.885033 | − | 0.510974i | −0.0127184 | − | 0.999919i | \(-0.504049\pi\) |
−0.872315 | + | 0.488945i | \(0.837382\pi\) | |||||||
\(942\) | 2.40837 | + | 30.5973i | 0.0784689 | + | 0.996915i | ||||
\(943\) | −8.97007 | + | 5.17887i | −0.292106 | + | 0.168647i | ||||
\(944\) | 4.18704 | + | 14.7125i | 0.136276 | + | 0.478850i | ||||
\(945\) | −8.21511 | − | 33.5423i | −0.267238 | − | 1.09113i | ||||
\(946\) | 45.9250 | + | 39.9621i | 1.49315 | + | 1.29928i | ||||
\(947\) | 21.5828 | + | 37.3824i | 0.701345 | + | 1.21477i | 0.967994 | + | 0.250972i | \(0.0807502\pi\) |
−0.266649 | + | 0.963794i | \(0.585916\pi\) | |||||||
\(948\) | 17.0231 | + | 12.6093i | 0.552885 | + | 0.409531i | ||||
\(949\) | 28.9770 | + | 16.7299i | 0.940634 | + | 0.543075i | ||||
\(950\) | −1.56531 | − | 4.55336i | −0.0507854 | − | 0.147730i | ||||
\(951\) | −14.1614 | − | 3.65473i | −0.459216 | − | 0.118513i | ||||
\(952\) | −20.1991 | − | 14.6277i | −0.654657 | − | 0.474085i | ||||
\(953\) | − | 17.2030i | − | 0.557261i | −0.960398 | − | 0.278630i | \(-0.910120\pi\) | ||
0.960398 | − | 0.278630i | \(-0.0898804\pi\) | |||||||
\(954\) | 7.89505 | − | 44.9111i | 0.255612 | − | 1.45405i | ||||
\(955\) | −51.4675 | −1.66545 | ||||||||
\(956\) | −2.63262 | − | 3.37653i | −0.0851451 | − | 0.109205i | ||||
\(957\) | 10.8805 | + | 39.1566i | 0.351717 | + | 1.26575i | ||||
\(958\) | −8.27347 | − | 24.0668i | −0.267304 | − | 0.777564i | ||||
\(959\) | −5.01264 | + | 2.57334i | −0.161867 | + | 0.0830974i | ||||
\(960\) | −22.0731 | − | 26.9125i | −0.712405 | − | 0.868596i | ||||
\(961\) | −14.7867 | − | 25.6114i | −0.476991 | − | 0.826173i | ||||
\(962\) | 55.6204 | + | 48.3987i | 1.79327 | + | 1.56044i | ||||
\(963\) | −1.07802 | − | 58.3619i | −0.0347387 | − | 1.88069i | ||||
\(964\) | 36.9865 | − | 5.16056i | 1.19126 | − | 0.166210i | ||||
\(965\) | −29.8861 | + | 17.2547i | −0.962066 | + | 0.555449i | ||||
\(966\) | 17.4343 | − | 0.509868i | 0.560940 | − | 0.0164047i | ||||
\(967\) | 4.72693 | − | 8.18728i | 0.152008 | − | 0.263285i | −0.779958 | − | 0.625832i | \(-0.784759\pi\) |
0.931965 | + | 0.362547i | \(0.118093\pi\) | |||||||
\(968\) | 14.3446 | − | 7.28195i | 0.461052 | − | 0.234051i | ||||
\(969\) | 10.5105 | − | 10.7064i | 0.337645 | − | 0.343940i | ||||
\(970\) | 21.7180 | + | 4.23277i | 0.697321 | + | 0.135906i | ||||
\(971\) | 57.3794i | 1.84139i | 0.390280 | + | 0.920696i | \(0.372378\pi\) | ||||
−0.390280 | + | 0.920696i | \(0.627622\pi\) | |||||||
\(972\) | 28.1191 | − | 13.4654i | 0.901920 | − | 0.431904i | ||||
\(973\) | −1.31589 | + | 2.03987i | −0.0421854 | + | 0.0653952i | ||||
\(974\) | −47.0520 | − | 9.17030i | −1.50764 | − | 0.293835i | ||||
\(975\) | −11.3285 | + | 11.5397i | −0.362802 | + | 0.369565i | ||||
\(976\) | −5.19535 | + | 20.6620i | −0.166299 | + | 0.661374i | ||||
\(977\) | −18.3819 | − | 10.6128i | −0.588088 | − | 0.339533i | 0.176253 | − | 0.984345i | \(-0.443602\pi\) |
−0.764341 | + | 0.644812i | \(0.776936\pi\) | |||||||
\(978\) | 11.8874 | + | 17.2959i | 0.380117 | + | 0.553062i | ||||
\(979\) | −4.14325 | − | 7.17632i | −0.132419 | − | 0.229356i | ||||
\(980\) | 18.7876 | + | 29.7282i | 0.600149 | + | 0.949632i | ||||
\(981\) | −22.6863 | + | 0.419046i | −0.724319 | + | 0.0133791i | ||||
\(982\) | −0.877634 | + | 1.00859i | −0.0280064 | + | 0.0321853i | ||||
\(983\) | −24.6157 | − | 42.6356i | −0.785117 | − | 1.35986i | −0.928929 | − | 0.370258i | \(-0.879269\pi\) |
0.143811 | − | 0.989605i | \(-0.454064\pi\) | |||||||
\(984\) | 5.68725 | − | 17.9758i | 0.181303 | − | 0.573049i | ||||
\(985\) | −19.1918 | − | 11.0804i | −0.611503 | − | 0.353051i | ||||
\(986\) | 8.80070 | + | 25.6005i | 0.280271 | + | 0.815286i | ||||
\(987\) | −21.1954 | − | 6.60013i | −0.674656 | − | 0.210085i | ||||
\(988\) | 29.2192 | − | 22.7817i | 0.929586 | − | 0.724782i | ||||
\(989\) | −28.3603 | −0.901805 | ||||||||
\(990\) | 42.8781 | + | 7.53768i | 1.36276 | + | 0.239563i | ||||
\(991\) | −12.7468 | −0.404914 | −0.202457 | − | 0.979291i | \(-0.564893\pi\) | ||||
−0.202457 | + | 0.979291i | \(0.564893\pi\) | |||||||
\(992\) | −0.572104 | − | 6.73221i | −0.0181643 | − | 0.213748i | ||||
\(993\) | −1.89975 | + | 7.36121i | −0.0602868 | + | 0.233601i | ||||
\(994\) | 7.45430 | − | 30.2256i | 0.236436 | − | 0.958697i | ||||
\(995\) | −15.1798 | + | 26.2923i | −0.481233 | + | 0.833521i | ||||
\(996\) | 16.5624 | − | 22.3600i | 0.524800 | − | 0.708503i | ||||
\(997\) | −5.83244 | − | 10.1021i | −0.184715 | − | 0.319936i | 0.758765 | − | 0.651364i | \(-0.225803\pi\) |
−0.943480 | + | 0.331428i | \(0.892470\pi\) | |||||||
\(998\) | −28.0227 | − | 24.3843i | −0.887044 | − | 0.771871i | ||||
\(999\) | 26.1209 | − | 27.6098i | 0.826427 | − | 0.873535i |
(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 | 504.2.cc.b.293.5 | ✓ | 168 | |
7.6 | odd | 2 | inner | 504.2.cc.b.293.6 | yes | 168 | |
8.5 | even | 2 | inner | 504.2.cc.b.293.34 | yes | 168 | |
9.2 | odd | 6 | inner | 504.2.cc.b.461.33 | yes | 168 | |
56.13 | odd | 2 | inner | 504.2.cc.b.293.33 | yes | 168 | |
63.20 | even | 6 | inner | 504.2.cc.b.461.34 | yes | 168 | |
72.29 | odd | 6 | inner | 504.2.cc.b.461.6 | yes | 168 | |
504.461 | even | 6 | inner | 504.2.cc.b.461.5 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.cc.b.293.5 | ✓ | 168 | 1.1 | even | 1 | trivial | |
504.2.cc.b.293.6 | yes | 168 | 7.6 | odd | 2 | inner | |
504.2.cc.b.293.33 | yes | 168 | 56.13 | odd | 2 | inner | |
504.2.cc.b.293.34 | yes | 168 | 8.5 | even | 2 | inner | |
504.2.cc.b.461.5 | yes | 168 | 504.461 | even | 6 | inner | |
504.2.cc.b.461.6 | yes | 168 | 72.29 | odd | 6 | inner | |
504.2.cc.b.461.33 | yes | 168 | 9.2 | odd | 6 | inner | |
504.2.cc.b.461.34 | yes | 168 | 63.20 | even | 6 | inner |