Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (of order \(12\), degree \(4\), 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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.5 | ||
Character | \(\chi\) | \(=\) | 185.8 |
Dual form | 185.2.u.a.162.5 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.54509 | + | 0.892058i | −1.09254 | + | 0.630780i | −0.934252 | − | 0.356613i | \(-0.883932\pi\) |
−0.158291 | + | 0.987393i | \(0.550598\pi\) | |||||||
\(3\) | −0.471934 | − | 1.76128i | −0.272471 | − | 1.01688i | −0.957517 | − | 0.288376i | \(-0.906885\pi\) |
0.685046 | − | 0.728500i | \(-0.259782\pi\) | |||||||
\(4\) | 0.591534 | − | 1.02457i | 0.295767 | − | 0.512283i | ||||
\(5\) | −0.319125 | + | 2.21318i | −0.142717 | + | 0.989764i | ||||
\(6\) | 2.30034 | + | 2.30034i | 0.939111 | + | 0.939111i | ||||
\(7\) | −0.134169 | − | 0.500724i | −0.0507110 | − | 0.189256i | 0.935924 | − | 0.352202i | \(-0.114567\pi\) |
−0.986635 | + | 0.162946i | \(0.947900\pi\) | |||||||
\(8\) | − | 1.45750i | − | 0.515305i | ||||||
\(9\) | −0.281310 | + | 0.162414i | −0.0937700 | + | 0.0541381i | ||||
\(10\) | −1.48121 | − | 3.70424i | −0.468398 | − | 1.17138i | ||||
\(11\) | 5.59836i | 1.68797i | 0.536368 | + | 0.843984i | \(0.319796\pi\) | ||||
−0.536368 | + | 0.843984i | \(0.680204\pi\) | |||||||
\(12\) | −2.08371 | − | 0.558329i | −0.601516 | − | 0.161176i | ||||
\(13\) | 1.32347 | + | 0.764108i | 0.367066 | + | 0.211925i | 0.672176 | − | 0.740392i | \(-0.265360\pi\) |
−0.305110 | + | 0.952317i | \(0.598693\pi\) | |||||||
\(14\) | 0.653977 | + | 0.653977i | 0.174783 | + | 0.174783i | ||||
\(15\) | 4.04863 | − | 0.482404i | 1.04535 | − | 0.124556i | ||||
\(16\) | 2.48324 | + | 4.30110i | 0.620811 | + | 1.07528i | ||||
\(17\) | 3.63263 | + | 6.29189i | 0.881041 | + | 1.52601i | 0.850185 | + | 0.526484i | \(0.176490\pi\) |
0.0308564 | + | 0.999524i | \(0.490177\pi\) | |||||||
\(18\) | 0.289766 | − | 0.501889i | 0.0682985 | − | 0.118296i | ||||
\(19\) | 0.654716 | + | 2.44343i | 0.150202 | + | 0.560562i | 0.999469 | + | 0.0325976i | \(0.0103780\pi\) |
−0.849266 | + | 0.527965i | \(0.822955\pi\) | |||||||
\(20\) | 2.07877 | + | 1.63613i | 0.464828 | + | 0.365851i | ||||
\(21\) | −0.818597 | + | 0.472617i | −0.178632 | + | 0.103133i | ||||
\(22\) | −4.99406 | − | 8.64996i | −1.06474 | − | 1.84418i | ||||
\(23\) | − | 1.14851i | − | 0.239481i | −0.992805 | − | 0.119740i | \(-0.961794\pi\) | ||
0.992805 | − | 0.119740i | \(-0.0382062\pi\) | |||||||
\(24\) | −2.56707 | + | 0.687844i | −0.524001 | + | 0.140406i | ||||
\(25\) | −4.79632 | − | 1.41256i | −0.959264 | − | 0.282513i | ||||
\(26\) | −2.72651 | −0.534713 | ||||||||
\(27\) | −3.44922 | − | 3.44922i | −0.663803 | − | 0.663803i | ||||
\(28\) | −0.592390 | − | 0.158730i | −0.111951 | − | 0.0299972i | ||||
\(29\) | 3.86835 | + | 3.86835i | 0.718334 | + | 0.718334i | 0.968264 | − | 0.249930i | \(-0.0804075\pi\) |
−0.249930 | + | 0.968264i | \(0.580408\pi\) | |||||||
\(30\) | −5.82517 | + | 4.35697i | −1.06353 | + | 0.795470i | ||||
\(31\) | 2.49059 | − | 2.49059i | 0.447323 | − | 0.447323i | −0.447141 | − | 0.894464i | \(-0.647558\pi\) |
0.894464 | + | 0.447141i | \(0.147558\pi\) | |||||||
\(32\) | −5.14920 | − | 2.97289i | −0.910258 | − | 0.525538i | ||||
\(33\) | 9.86028 | − | 2.64205i | 1.71645 | − | 0.459922i | ||||
\(34\) | −11.2255 | − | 6.48102i | −1.92515 | − | 1.11149i | ||||
\(35\) | 1.15101 | − | 0.137145i | 0.194556 | − | 0.0231818i | ||||
\(36\) | 0.384294i | 0.0640490i | ||||||||
\(37\) | −1.49687 | + | 5.89571i | −0.246083 | + | 0.969249i | ||||
\(38\) | −3.19128 | − | 3.19128i | −0.517694 | − | 0.517694i | ||||
\(39\) | 0.721216 | − | 2.69162i | 0.115487 | − | 0.431003i | ||||
\(40\) | 3.22571 | + | 0.465126i | 0.510030 | + | 0.0735429i | ||||
\(41\) | −6.02783 | − | 3.48017i | −0.941390 | − | 0.543512i | −0.0509939 | − | 0.998699i | \(-0.516239\pi\) |
−0.890396 | + | 0.455187i | \(0.849572\pi\) | |||||||
\(42\) | 0.843203 | − | 1.46047i | 0.130109 | − | 0.225356i | ||||
\(43\) | − | 10.5642i | − | 1.61102i | −0.592580 | − | 0.805512i | \(-0.701891\pi\) | ||
0.592580 | − | 0.805512i | \(-0.298109\pi\) | |||||||
\(44\) | 5.73589 | + | 3.31162i | 0.864718 | + | 0.499245i | ||||
\(45\) | −0.269679 | − | 0.674420i | −0.0402013 | − | 0.100537i | ||||
\(46\) | 1.02454 | + | 1.77455i | 0.151060 | + | 0.261643i | ||||
\(47\) | 1.35499 | − | 1.35499i | 0.197646 | − | 0.197646i | −0.601344 | − | 0.798990i | \(-0.705368\pi\) |
0.798990 | + | 0.601344i | \(0.205368\pi\) | |||||||
\(48\) | 6.40352 | − | 6.40352i | 0.924269 | − | 0.924269i | ||||
\(49\) | 5.82945 | − | 3.36564i | 0.832779 | − | 0.480805i | ||||
\(50\) | 8.67083 | − | 2.09606i | 1.22624 | − | 0.296427i | ||||
\(51\) | 9.36743 | − | 9.36743i | 1.31170 | − | 1.31170i | ||||
\(52\) | 1.56576 | − | 0.903991i | 0.217132 | − | 0.125361i | ||||
\(53\) | −2.14463 | + | 8.00388i | −0.294588 | + | 1.09942i | 0.646956 | + | 0.762528i | \(0.276042\pi\) |
−0.941544 | + | 0.336890i | \(0.890625\pi\) | |||||||
\(54\) | 8.40626 | + | 2.25245i | 1.14395 | + | 0.306520i | ||||
\(55\) | −12.3902 | − | 1.78658i | −1.67069 | − | 0.240902i | ||||
\(56\) | −0.729806 | + | 0.195551i | −0.0975245 | + | 0.0261316i | ||||
\(57\) | 3.99459 | − | 2.30628i | 0.529096 | − | 0.305474i | ||||
\(58\) | −9.42773 | − | 2.52615i | −1.23792 | − | 0.331700i | ||||
\(59\) | 3.01861 | + | 0.808835i | 0.392990 | + | 0.105301i | 0.449902 | − | 0.893078i | \(-0.351459\pi\) |
−0.0569123 | + | 0.998379i | \(0.518126\pi\) | |||||||
\(60\) | 1.90065 | − | 4.43345i | 0.245373 | − | 0.572356i | ||||
\(61\) | −0.446001 | − | 1.66450i | −0.0571045 | − | 0.213117i | 0.931478 | − | 0.363798i | \(-0.118520\pi\) |
−0.988582 | + | 0.150681i | \(0.951853\pi\) | |||||||
\(62\) | −1.62643 | + | 6.06993i | −0.206557 | + | 0.770882i | ||||
\(63\) | 0.119068 | + | 0.119068i | 0.0150011 | + | 0.0150011i | ||||
\(64\) | 0.674985 | 0.0843731 | ||||||||
\(65\) | −2.11346 | + | 2.68524i | −0.262143 | + | 0.333063i | ||||
\(66\) | −12.8781 | + | 12.8781i | −1.58519 | + | 1.58519i | ||||
\(67\) | −4.42331 | + | 1.18522i | −0.540394 | + | 0.144798i | −0.518684 | − | 0.854966i | \(-0.673578\pi\) |
−0.0217100 | + | 0.999764i | \(0.506911\pi\) | |||||||
\(68\) | 8.59528 | 1.04233 | ||||||||
\(69\) | −2.02285 | + | 0.542020i | −0.243522 | + | 0.0652516i | ||||
\(70\) | −1.65607 | + | 1.23867i | −0.197938 | + | 0.148049i | ||||
\(71\) | 2.78939 | − | 4.83137i | 0.331040 | − | 0.573378i | −0.651676 | − | 0.758497i | \(-0.725934\pi\) |
0.982716 | + | 0.185120i | \(0.0592672\pi\) | |||||||
\(72\) | 0.236719 | + | 0.410010i | 0.0278976 | + | 0.0483201i | ||||
\(73\) | −5.42800 | + | 5.42800i | −0.635300 | + | 0.635300i | −0.949392 | − | 0.314093i | \(-0.898300\pi\) |
0.314093 | + | 0.949392i | \(0.398300\pi\) | |||||||
\(74\) | −2.94652 | − | 10.4447i | −0.342526 | − | 1.21417i | ||||
\(75\) | −0.224376 | + | 9.11429i | −0.0259087 | + | 1.05243i | ||||
\(76\) | 2.89075 | + | 0.774573i | 0.331591 | + | 0.0888497i | ||||
\(77\) | 2.80323 | − | 0.751124i | 0.319458 | − | 0.0855985i | ||||
\(78\) | 1.28673 | + | 4.80215i | 0.145694 | + | 0.543737i | ||||
\(79\) | −0.923868 | − | 3.44792i | −0.103943 | − | 0.387922i | 0.894280 | − | 0.447508i | \(-0.147688\pi\) |
−0.998223 | + | 0.0595866i | \(0.981022\pi\) | |||||||
\(80\) | −10.3116 | + | 4.12327i | −1.15287 | + | 0.460995i | ||||
\(81\) | −4.93449 | + | 8.54678i | −0.548276 | + | 0.949642i | ||||
\(82\) | 12.4181 | 1.37134 | ||||||||
\(83\) | −2.06428 | + | 7.70401i | −0.226584 | + | 0.845625i | 0.755179 | + | 0.655519i | \(0.227550\pi\) |
−0.981764 | + | 0.190106i | \(0.939117\pi\) | |||||||
\(84\) | 1.11828i | 0.122014i | ||||||||
\(85\) | −15.0843 | + | 6.03175i | −1.63613 | + | 0.654235i | ||||
\(86\) | 9.42386 | + | 16.3226i | 1.01620 | + | 1.76011i | ||||
\(87\) | 4.98764 | − | 8.63885i | 0.534731 | − | 0.926182i | ||||
\(88\) | 8.15962 | 0.869818 | ||||||||
\(89\) | −0.896627 | + | 3.34626i | −0.0950423 | + | 0.354703i | −0.997026 | − | 0.0770677i | \(-0.975444\pi\) |
0.901984 | + | 0.431770i | \(0.142111\pi\) | |||||||
\(90\) | 1.01830 | + | 0.801469i | 0.107338 | + | 0.0844823i | ||||
\(91\) | 0.205039 | − | 0.765214i | 0.0214939 | − | 0.0802162i | ||||
\(92\) | −1.17672 | − | 0.679382i | −0.122682 | − | 0.0708305i | ||||
\(93\) | −5.56202 | − | 3.21123i | −0.576754 | − | 0.332989i | ||||
\(94\) | −0.884854 | + | 3.30232i | −0.0912657 | + | 0.340608i | ||||
\(95\) | −5.61669 | + | 0.669242i | −0.576260 | + | 0.0686627i | ||||
\(96\) | −2.80601 | + | 10.4722i | −0.286388 | + | 1.06881i | ||||
\(97\) | 13.3259 | 1.35304 | 0.676519 | − | 0.736425i | \(-0.263487\pi\) | ||||
0.676519 | + | 0.736425i | \(0.263487\pi\) | |||||||
\(98\) | −6.00468 | + | 10.4004i | −0.606565 | + | 1.05060i | ||||
\(99\) | −0.909254 | − | 1.57487i | −0.0913835 | − | 0.158281i | ||||
\(100\) | −4.28445 | + | 4.07857i | −0.428445 | + | 0.407857i | ||||
\(101\) | − | 13.7961i | − | 1.37276i | −0.727242 | − | 0.686381i | \(-0.759198\pi\) | ||
0.727242 | − | 0.686381i | \(-0.240802\pi\) | |||||||
\(102\) | −6.11723 | + | 22.8298i | −0.605696 | + | 2.26049i | ||||
\(103\) | −1.57697 | −0.155384 | −0.0776920 | − | 0.996977i | \(-0.524755\pi\) | ||||
−0.0776920 | + | 0.996977i | \(0.524755\pi\) | |||||||
\(104\) | 1.11369 | − | 1.92897i | 0.109206 | − | 0.189151i | ||||
\(105\) | −0.784751 | − | 1.96252i | −0.0765838 | − | 0.191523i | ||||
\(106\) | −3.82628 | − | 14.2799i | −0.371641 | − | 1.38698i | ||||
\(107\) | −1.09735 | − | 4.09537i | −0.106085 | − | 0.395915i | 0.892381 | − | 0.451283i | \(-0.149033\pi\) |
−0.998466 | + | 0.0553681i | \(0.982367\pi\) | |||||||
\(108\) | −5.57429 | + | 1.49363i | −0.536386 | + | 0.143724i | ||||
\(109\) | 16.6734 | + | 4.46764i | 1.59703 | + | 0.427922i | 0.944143 | − | 0.329536i | \(-0.106892\pi\) |
0.652883 | + | 0.757458i | \(0.273559\pi\) | |||||||
\(110\) | 20.7376 | − | 8.29232i | 1.97726 | − | 0.790642i | ||||
\(111\) | 11.0904 | − | 0.145983i | 1.05266 | − | 0.0138561i | ||||
\(112\) | 1.82049 | − | 1.82049i | 0.172020 | − | 0.172020i | ||||
\(113\) | −4.21859 | − | 7.30681i | −0.396852 | − | 0.687367i | 0.596484 | − | 0.802625i | \(-0.296564\pi\) |
−0.993336 | + | 0.115258i | \(0.963231\pi\) | |||||||
\(114\) | −4.11466 | + | 7.12681i | −0.385374 | + | 0.667487i | ||||
\(115\) | 2.54186 | + | 0.366519i | 0.237029 | + | 0.0341780i | ||||
\(116\) | 6.25164 | − | 1.67512i | 0.580450 | − | 0.155531i | ||||
\(117\) | −0.496408 | −0.0458930 | ||||||||
\(118\) | −5.38555 | + | 1.44305i | −0.495780 | + | 0.132844i | ||||
\(119\) | 2.66312 | − | 2.66312i | 0.244128 | − | 0.244128i | ||||
\(120\) | −0.703105 | − | 5.90089i | −0.0641844 | − | 0.538675i | ||||
\(121\) | −20.3416 | −1.84924 | ||||||||
\(122\) | 2.17394 | + | 2.17394i | 0.196819 | + | 0.196819i | ||||
\(123\) | −3.28482 | + | 12.2591i | −0.296182 | + | 1.10537i | ||||
\(124\) | −1.07851 | − | 4.02504i | −0.0968527 | − | 0.361459i | ||||
\(125\) | 4.65688 | − | 10.1643i | 0.416524 | − | 0.909125i | ||||
\(126\) | −0.290186 | − | 0.0777550i | −0.0258518 | − | 0.00692696i | ||||
\(127\) | 16.4315 | + | 4.40281i | 1.45806 | + | 0.390686i | 0.898819 | − | 0.438319i | \(-0.144426\pi\) |
0.559241 | + | 0.829005i | \(0.311093\pi\) | |||||||
\(128\) | 9.25548 | − | 5.34365i | 0.818077 | − | 0.472317i | ||||
\(129\) | −18.6065 | + | 4.98559i | −1.63821 | + | 0.438957i | ||||
\(130\) | 0.870100 | − | 6.03426i | 0.0763128 | − | 0.529240i | ||||
\(131\) | −2.80001 | − | 0.750260i | −0.244638 | − | 0.0655505i | 0.134417 | − | 0.990925i | \(-0.457084\pi\) |
−0.379054 | + | 0.925374i | \(0.623751\pi\) | |||||||
\(132\) | 3.12573 | − | 11.6654i | 0.272060 | − | 1.01534i | ||||
\(133\) | 1.13564 | − | 0.655664i | 0.0984728 | − | 0.0568533i | ||||
\(134\) | 5.77712 | − | 5.77712i | 0.499068 | − | 0.499068i | ||||
\(135\) | 8.73448 | − | 6.53301i | 0.751744 | − | 0.562272i | ||||
\(136\) | 9.17045 | − | 5.29456i | 0.786359 | − | 0.454005i | ||||
\(137\) | −14.2642 | + | 14.2642i | −1.21868 | + | 1.21868i | −0.250581 | + | 0.968096i | \(0.580622\pi\) |
−0.968096 | + | 0.250581i | \(0.919378\pi\) | |||||||
\(138\) | 2.64197 | − | 2.64197i | 0.224899 | − | 0.224899i | ||||
\(139\) | 1.16560 | + | 2.01888i | 0.0988651 | + | 0.171239i | 0.911215 | − | 0.411931i | \(-0.135145\pi\) |
−0.812350 | + | 0.583170i | \(0.801812\pi\) | |||||||
\(140\) | 0.540346 | − | 1.26041i | 0.0456675 | − | 0.106524i | ||||
\(141\) | −3.02599 | − | 1.74706i | −0.254834 | − | 0.147129i | ||||
\(142\) | 9.95319i | 0.835253i | ||||||||
\(143\) | −4.27775 | + | 7.40928i | −0.357723 | + | 0.619595i | ||||
\(144\) | −1.39712 | − | 0.806629i | −0.116427 | − | 0.0672191i | ||||
\(145\) | −9.79583 | + | 7.32686i | −0.813500 | + | 0.608462i | ||||
\(146\) | 3.54466 | − | 13.2288i | 0.293358 | − | 1.09483i | ||||
\(147\) | −8.67894 | − | 8.67894i | −0.715827 | − | 0.715827i | ||||
\(148\) | 5.15510 | + | 5.02115i | 0.423747 | + | 0.412736i | ||||
\(149\) | − | 11.6362i | − | 0.953273i | −0.879101 | − | 0.476636i | \(-0.841856\pi\) | ||
0.879101 | − | 0.476636i | \(-0.158144\pi\) | |||||||
\(150\) | −7.78380 | − | 14.2826i | −0.635544 | − | 1.16617i | ||||
\(151\) | 1.09708 | + | 0.633398i | 0.0892790 | + | 0.0515452i | 0.543975 | − | 0.839102i | \(-0.316919\pi\) |
−0.454696 | + | 0.890647i | \(0.650252\pi\) | |||||||
\(152\) | 3.56131 | − | 0.954250i | 0.288860 | − | 0.0773999i | ||||
\(153\) | −2.04379 | − | 1.17998i | −0.165230 | − | 0.0953958i | ||||
\(154\) | −3.66120 | + | 3.66120i | −0.295028 | + | 0.295028i | ||||
\(155\) | 4.71731 | + | 6.30693i | 0.378903 | + | 0.506585i | ||||
\(156\) | −2.33112 | − | 2.33112i | −0.186639 | − | 0.186639i | ||||
\(157\) | −8.14942 | − | 2.18363i | −0.650395 | − | 0.174273i | −0.0814873 | − | 0.996674i | \(-0.525967\pi\) |
−0.568907 | + | 0.822402i | \(0.692634\pi\) | |||||||
\(158\) | 4.50320 | + | 4.50320i | 0.358256 | + | 0.358256i | ||||
\(159\) | 15.1092 | 1.19824 | ||||||||
\(160\) | 8.22278 | − | 10.4474i | 0.650068 | − | 0.825937i | ||||
\(161\) | −0.575086 | + | 0.154094i | −0.0453232 | + | 0.0121443i | ||||
\(162\) | − | 17.6074i | − | 1.38337i | ||||||
\(163\) | 10.4583 | + | 18.1144i | 0.819160 | + | 1.41883i | 0.906302 | + | 0.422631i | \(0.138893\pi\) |
−0.0871421 | + | 0.996196i | \(0.527773\pi\) | |||||||
\(164\) | −7.13133 | + | 4.11728i | −0.556864 | + | 0.321505i | ||||
\(165\) | 2.70067 | + | 22.6657i | 0.210247 | + | 1.76452i | ||||
\(166\) | −3.68292 | − | 13.7448i | −0.285850 | − | 1.06681i | ||||
\(167\) | 8.29321 | − | 14.3643i | 0.641748 | − | 1.11154i | −0.343294 | − | 0.939228i | \(-0.611543\pi\) |
0.985042 | − | 0.172312i | \(-0.0551238\pi\) | |||||||
\(168\) | 0.688840 | + | 1.19311i | 0.0531452 | + | 0.0920501i | ||||
\(169\) | −5.33228 | − | 9.23578i | −0.410175 | − | 0.710444i | ||||
\(170\) | 17.9260 | − | 22.7757i | 1.37486 | − | 1.74682i | ||||
\(171\) | −0.581027 | − | 0.581027i | −0.0444322 | − | 0.0444322i | ||||
\(172\) | −10.8237 | − | 6.24907i | −0.825300 | − | 0.476487i | ||||
\(173\) | 6.68355 | + | 1.79085i | 0.508141 | + | 0.136156i | 0.503776 | − | 0.863835i | \(-0.331944\pi\) |
0.00436519 | + | 0.999990i | \(0.498611\pi\) | |||||||
\(174\) | 17.7971i | 1.34919i | ||||||||
\(175\) | −0.0637891 | + | 2.59115i | −0.00482200 | + | 0.195873i | ||||
\(176\) | −24.0791 | + | 13.9021i | −1.81503 | + | 1.04791i | ||||
\(177\) | − | 5.69834i | − | 0.428313i | ||||||
\(178\) | −1.59969 | − | 5.97011i | −0.119902 | − | 0.447479i | ||||
\(179\) | −4.64628 | − | 4.64628i | −0.347279 | − | 0.347279i | 0.511816 | − | 0.859095i | \(-0.328973\pi\) |
−0.859095 | + | 0.511816i | \(0.828973\pi\) | |||||||
\(180\) | −0.850512 | − | 0.122638i | −0.0633934 | − | 0.00914090i | ||||
\(181\) | 7.11660 | − | 12.3263i | 0.528973 | − | 0.916208i | −0.470456 | − | 0.882423i | \(-0.655911\pi\) |
0.999429 | − | 0.0337848i | \(-0.0107561\pi\) | |||||||
\(182\) | 0.365812 | + | 1.36523i | 0.0271158 | + | 0.101198i | ||||
\(183\) | −2.72116 | + | 1.57106i | −0.201154 | + | 0.116136i | ||||
\(184\) | −1.67396 | −0.123406 | ||||||||
\(185\) | −12.5706 | − | 5.19430i | −0.924207 | − | 0.381893i | ||||
\(186\) | 11.4584 | 0.840172 | ||||||||
\(187\) | −35.2243 | + | 20.3367i | −2.57585 | + | 1.48717i | ||||
\(188\) | −0.586757 | − | 2.18981i | −0.0427936 | − | 0.159708i | ||||
\(189\) | −1.26433 | + | 2.18989i | −0.0919666 | + | 0.159291i | ||||
\(190\) | 8.08129 | − | 6.04445i | 0.586278 | − | 0.438511i | ||||
\(191\) | −10.2203 | − | 10.2203i | −0.739518 | − | 0.739518i | 0.232967 | − | 0.972485i | \(-0.425157\pi\) |
−0.972485 | + | 0.232967i | \(0.925157\pi\) | |||||||
\(192\) | −0.318548 | − | 1.18884i | −0.0229892 | − | 0.0857970i | ||||
\(193\) | − | 11.2201i | − | 0.807642i | −0.914838 | − | 0.403821i | \(-0.867682\pi\) | ||
0.914838 | − | 0.403821i | \(-0.132318\pi\) | |||||||
\(194\) | −20.5897 | + | 11.8875i | −1.47825 | + | 0.853470i | ||||
\(195\) | 5.72687 | + | 2.45514i | 0.410109 | + | 0.175816i | ||||
\(196\) | − | 7.96355i | − | 0.568825i | ||||||
\(197\) | −3.72926 | − | 0.999253i | −0.265699 | − | 0.0711938i | 0.123510 | − | 0.992343i | \(-0.460585\pi\) |
−0.389209 | + | 0.921149i | \(0.627252\pi\) | |||||||
\(198\) | 2.80976 | + | 1.62221i | 0.199681 | + | 0.115286i | ||||
\(199\) | −3.32935 | − | 3.32935i | −0.236011 | − | 0.236011i | 0.579185 | − | 0.815196i | \(-0.303371\pi\) |
−0.815196 | + | 0.579185i | \(0.803371\pi\) | |||||||
\(200\) | −2.05881 | + | 6.99064i | −0.145580 | + | 0.494313i | ||||
\(201\) | 4.17502 | + | 7.23134i | 0.294483 | + | 0.510060i | ||||
\(202\) | 12.3069 | + | 21.3162i | 0.865911 | + | 1.49980i | ||||
\(203\) | 1.41796 | − | 2.45599i | 0.0995215 | − | 0.172376i | ||||
\(204\) | −4.05640 | − | 15.1387i | −0.284005 | − | 1.05992i | ||||
\(205\) | 9.62588 | − | 12.2301i | 0.672300 | − | 0.854185i | ||||
\(206\) | 2.43657 | − | 1.40675i | 0.169764 | − | 0.0980131i | ||||
\(207\) | 0.186534 | + | 0.323087i | 0.0129650 | + | 0.0224561i | ||||
\(208\) | 7.58986i | 0.526262i | ||||||||
\(209\) | −13.6792 | + | 3.66534i | −0.946211 | + | 0.253537i | ||||
\(210\) | 2.96319 | + | 2.33223i | 0.204480 | + | 0.160939i | ||||
\(211\) | 14.1666 | 0.975272 | 0.487636 | − | 0.873047i | \(-0.337859\pi\) | ||||
0.487636 | + | 0.873047i | \(0.337859\pi\) | |||||||
\(212\) | 6.93189 | + | 6.93189i | 0.476084 | + | 0.476084i | ||||
\(213\) | −9.82580 | − | 2.63281i | −0.673253 | − | 0.180397i | ||||
\(214\) | 5.34882 | + | 5.34882i | 0.365637 | + | 0.365637i | ||||
\(215\) | 23.3804 | + | 3.37130i | 1.59453 | + | 0.229921i | ||||
\(216\) | −5.02725 | + | 5.02725i | −0.342061 | + | 0.342061i | ||||
\(217\) | −1.58126 | − | 0.912939i | −0.107343 | − | 0.0619743i | ||||
\(218\) | −29.7473 | + | 7.97078i | −2.01474 | + | 0.539849i | ||||
\(219\) | 12.1219 | + | 6.99858i | 0.819122 | + | 0.472920i | ||||
\(220\) | −9.15967 | + | 11.6377i | −0.617545 | + | 0.784615i | ||||
\(221\) | 11.1029i | 0.746860i | ||||||||
\(222\) | −17.0055 | + | 10.1188i | −1.14133 | + | 0.679133i | ||||
\(223\) | −8.90135 | − | 8.90135i | −0.596079 | − | 0.596079i | 0.343188 | − | 0.939267i | \(-0.388493\pi\) |
−0.939267 | + | 0.343188i | \(0.888493\pi\) | |||||||
\(224\) | −0.797737 | + | 2.97719i | −0.0533010 | + | 0.198922i | ||||
\(225\) | 1.57867 | − | 0.381623i | 0.105245 | − | 0.0254415i | ||||
\(226\) | 13.0362 | + | 7.52645i | 0.867155 | + | 0.500652i | ||||
\(227\) | 6.75561 | − | 11.7011i | 0.448386 | − | 0.776627i | −0.549895 | − | 0.835233i | \(-0.685332\pi\) |
0.998281 | + | 0.0586067i | \(0.0186658\pi\) | |||||||
\(228\) | − | 5.45696i | − | 0.361396i | ||||||
\(229\) | 17.7518 | + | 10.2490i | 1.17307 | + | 0.677273i | 0.954402 | − | 0.298526i | \(-0.0964948\pi\) |
0.218670 | + | 0.975799i | \(0.429828\pi\) | |||||||
\(230\) | −4.25435 | + | 1.70118i | −0.280524 | + | 0.112172i | ||||
\(231\) | −2.64588 | − | 4.58280i | −0.174086 | − | 0.301526i | ||||
\(232\) | 5.63812 | − | 5.63812i | 0.370161 | − | 0.370161i | ||||
\(233\) | 2.52261 | − | 2.52261i | 0.165262 | − | 0.165262i | −0.619631 | − | 0.784893i | \(-0.712718\pi\) |
0.784893 | + | 0.619631i | \(0.212718\pi\) | |||||||
\(234\) | 0.766995 | − | 0.442825i | 0.0501400 | − | 0.0289484i | ||||
\(235\) | 2.56643 | + | 3.43126i | 0.167416 | + | 0.223831i | ||||
\(236\) | 2.61432 | − | 2.61432i | 0.170177 | − | 0.170177i | ||||
\(237\) | −5.63675 | + | 3.25438i | −0.366146 | + | 0.211395i | ||||
\(238\) | −1.73910 | + | 6.49041i | −0.112729 | + | 0.420711i | ||||
\(239\) | −19.2631 | − | 5.16154i | −1.24603 | − | 0.333872i | −0.425227 | − | 0.905087i | \(-0.639806\pi\) |
−0.820801 | + | 0.571214i | \(0.806473\pi\) | |||||||
\(240\) | 12.1286 | + | 16.2157i | 0.782898 | + | 1.04672i | ||||
\(241\) | 24.3058 | − | 6.51271i | 1.56567 | − | 0.419521i | 0.631218 | − | 0.775605i | \(-0.282555\pi\) |
0.934454 | + | 0.356085i | \(0.115889\pi\) | |||||||
\(242\) | 31.4296 | − | 18.1459i | 2.02037 | − | 1.16646i | ||||
\(243\) | 3.24685 | + | 0.869990i | 0.208285 | + | 0.0558099i | ||||
\(244\) | −1.96921 | − | 0.527649i | −0.126066 | − | 0.0337792i | ||||
\(245\) | 5.58843 | + | 13.9757i | 0.357032 | + | 0.892874i | ||||
\(246\) | −5.86050 | − | 21.8717i | −0.373652 | − | 1.39449i | ||||
\(247\) | −1.00055 | + | 3.73409i | −0.0636633 | + | 0.237595i | ||||
\(248\) | −3.63004 | − | 3.63004i | −0.230508 | − | 0.230508i | ||||
\(249\) | 14.5431 | 0.921633 | ||||||||
\(250\) | 1.87186 | + | 19.8590i | 0.118387 | + | 1.25599i | ||||
\(251\) | −10.4158 | + | 10.4158i | −0.657439 | + | 0.657439i | −0.954773 | − | 0.297334i | \(-0.903902\pi\) |
0.297334 | + | 0.954773i | \(0.403902\pi\) | |||||||
\(252\) | 0.192425 | − | 0.0515602i | 0.0121217 | − | 0.00324799i | ||||
\(253\) | 6.42977 | 0.404236 | ||||||||
\(254\) | −29.3157 | + | 7.85512i | −1.83943 | + | 0.492874i | ||||
\(255\) | 17.7424 | + | 23.7212i | 1.11107 | + | 1.48548i | ||||
\(256\) | −10.2087 | + | 17.6820i | −0.638043 | + | 1.10512i | ||||
\(257\) | −4.10172 | − | 7.10439i | −0.255858 | − | 0.443160i | 0.709270 | − | 0.704937i | \(-0.249025\pi\) |
−0.965128 | + | 0.261777i | \(0.915691\pi\) | |||||||
\(258\) | 24.3013 | − | 24.3013i | 1.51293 | − | 1.51293i | ||||
\(259\) | 3.15296 | − | 0.0415024i | 0.195915 | − | 0.00257883i | ||||
\(260\) | 1.50102 | + | 3.75379i | 0.0930893 | + | 0.232800i | ||||
\(261\) | −1.71648 | − | 0.459929i | −0.106247 | − | 0.0284689i | ||||
\(262\) | 4.99554 | − | 1.33855i | 0.308625 | − | 0.0826959i | ||||
\(263\) | −7.65884 | − | 28.5832i | −0.472264 | − | 1.76251i | −0.631605 | − | 0.775290i | \(-0.717604\pi\) |
0.159341 | − | 0.987224i | \(-0.449063\pi\) | |||||||
\(264\) | −3.85080 | − | 14.3714i | −0.237000 | − | 0.884497i | ||||
\(265\) | −17.0296 | − | 7.30070i | −1.04612 | − | 0.448479i | ||||
\(266\) | −1.16978 | + | 2.02612i | −0.0717238 | + | 0.124229i | ||||
\(267\) | 6.31685 | 0.386585 | ||||||||
\(268\) | −1.40220 | + | 5.23308i | −0.0856529 | + | 0.319661i | ||||
\(269\) | − | 7.39825i | − | 0.451079i | −0.974234 | − | 0.225540i | \(-0.927586\pi\) | ||
0.974234 | − | 0.225540i | \(-0.0724145\pi\) | |||||||
\(270\) | −7.66773 | + | 17.8857i | −0.466643 | + | 1.08849i | ||||
\(271\) | −8.75582 | − | 15.1655i | −0.531878 | − | 0.921240i | −0.999307 | − | 0.0372094i | \(-0.988153\pi\) |
0.467429 | − | 0.884030i | \(-0.345180\pi\) | |||||||
\(272\) | −18.0414 | + | 31.2486i | −1.09392 | + | 1.89472i | ||||
\(273\) | −1.44452 | −0.0874264 | ||||||||
\(274\) | 9.31500 | − | 34.7641i | 0.562740 | − | 2.10017i | ||||
\(275\) | 7.90804 | − | 26.8515i | 0.476873 | − | 1.61921i | ||||
\(276\) | −0.641247 | + | 2.39316i | −0.0385985 | + | 0.144052i | ||||
\(277\) | −0.288374 | − | 0.166493i | −0.0173267 | − | 0.0100036i | 0.491312 | − | 0.870984i | \(-0.336518\pi\) |
−0.508638 | + | 0.860980i | \(0.669851\pi\) | |||||||
\(278\) | −3.60192 | − | 2.07957i | −0.216029 | − | 0.124724i | ||||
\(279\) | −0.296120 | + | 1.10513i | −0.0177282 | + | 0.0661627i | ||||
\(280\) | −0.199889 | − | 1.67760i | −0.0119457 | − | 0.100256i | ||||
\(281\) | −8.01899 | + | 29.9273i | −0.478373 | + | 1.78531i | 0.129836 | + | 0.991536i | \(0.458555\pi\) |
−0.608209 | + | 0.793777i | \(0.708112\pi\) | |||||||
\(282\) | 6.23390 | 0.371224 | ||||||||
\(283\) | 7.97950 | − | 13.8209i | 0.474332 | − | 0.821568i | −0.525236 | − | 0.850957i | \(-0.676023\pi\) |
0.999568 | + | 0.0293891i | \(0.00935619\pi\) | |||||||
\(284\) | −3.30004 | − | 5.71583i | −0.195821 | − | 0.339172i | ||||
\(285\) | 3.82943 | + | 9.57673i | 0.226836 | + | 0.567277i | ||||
\(286\) | − | 15.2640i | − | 0.902579i | ||||||
\(287\) | −0.933859 | + | 3.48521i | −0.0551240 | + | 0.205726i | ||||
\(288\) | 1.93136 | 0.113806 | ||||||||
\(289\) | −17.8919 | + | 30.9898i | −1.05247 | + | 1.82293i | ||||
\(290\) | 8.59946 | − | 20.0591i | 0.504977 | − | 1.17791i | ||||
\(291\) | −6.28893 | − | 23.4706i | −0.368664 | − | 1.37587i | ||||
\(292\) | 2.35050 | + | 8.77220i | 0.137553 | + | 0.513354i | ||||
\(293\) | 29.4468 | − | 7.89026i | 1.72030 | − | 0.460954i | 0.742390 | − | 0.669968i | \(-0.233692\pi\) |
0.977913 | + | 0.209015i | \(0.0670256\pi\) | |||||||
\(294\) | 21.1519 | + | 5.66762i | 1.23360 | + | 0.330543i | ||||
\(295\) | −2.75341 | + | 6.42261i | −0.160310 | + | 0.373939i | ||||
\(296\) | 8.59301 | + | 2.18169i | 0.499458 | + | 0.126808i | ||||
\(297\) | 19.3100 | − | 19.3100i | 1.12048 | − | 1.12048i | ||||
\(298\) | 10.3801 | + | 17.9789i | 0.601305 | + | 1.04149i | ||||
\(299\) | 0.877585 | − | 1.52002i | 0.0507521 | − | 0.0879052i | ||||
\(300\) | 9.20547 | + | 5.62130i | 0.531478 | + | 0.324546i | ||||
\(301\) | −5.28974 | + | 1.41738i | −0.304896 | + | 0.0816965i | ||||
\(302\) | −2.26011 | −0.130055 | ||||||||
\(303\) | −24.2988 | + | 6.51084i | −1.39593 | + | 0.374038i | ||||
\(304\) | −8.88364 | + | 8.88364i | −0.509512 | + | 0.509512i | ||||
\(305\) | 3.82616 | − | 0.455896i | 0.219085 | − | 0.0261045i | ||||
\(306\) | 4.21045 | 0.240695 | ||||||||
\(307\) | 16.2385 | + | 16.2385i | 0.926780 | + | 0.926780i | 0.997496 | − | 0.0707164i | \(-0.0225285\pi\) |
−0.0707164 | + | 0.997496i | \(0.522529\pi\) | |||||||
\(308\) | 0.888630 | − | 3.31641i | 0.0506344 | − | 0.188970i | ||||
\(309\) | 0.744227 | + | 2.77749i | 0.0423376 | + | 0.158006i | ||||
\(310\) | −12.9148 | − | 5.53665i | −0.733511 | − | 0.314461i | ||||
\(311\) | 19.8748 | + | 5.32544i | 1.12700 | + | 0.301978i | 0.773712 | − | 0.633537i | \(-0.218398\pi\) |
0.353286 | + | 0.935515i | \(0.385064\pi\) | |||||||
\(312\) | −3.92304 | − | 1.05117i | −0.222098 | − | 0.0595110i | ||||
\(313\) | −1.96207 | + | 1.13280i | −0.110903 | + | 0.0640299i | −0.554426 | − | 0.832233i | \(-0.687062\pi\) |
0.443522 | + | 0.896263i | \(0.353729\pi\) | |||||||
\(314\) | 14.5395 | − | 3.89585i | 0.820512 | − | 0.219855i | ||||
\(315\) | −0.301516 | + | 0.225521i | −0.0169885 | + | 0.0127066i | ||||
\(316\) | −4.07912 | − | 1.09300i | −0.229469 | − | 0.0614859i | ||||
\(317\) | 0.786799 | − | 2.93637i | 0.0441910 | − | 0.164923i | −0.940304 | − | 0.340336i | \(-0.889459\pi\) |
0.984495 | + | 0.175413i | \(0.0561259\pi\) | |||||||
\(318\) | −23.3451 | + | 13.4783i | −1.30913 | + | 0.755825i | ||||
\(319\) | −21.6564 | + | 21.6564i | −1.21253 | + | 1.21253i | ||||
\(320\) | −0.215405 | + | 1.49386i | −0.0120415 | + | 0.0835094i | ||||
\(321\) | −6.69522 | + | 3.86549i | −0.373691 | + | 0.215751i | ||||
\(322\) | 0.751099 | − | 0.751099i | 0.0418571 | − | 0.0418571i | ||||
\(323\) | −12.9955 | + | 12.9955i | −0.723088 | + | 0.723088i | ||||
\(324\) | 5.83783 | + | 10.1114i | 0.324324 | + | 0.561745i | ||||
\(325\) | −5.26845 | − | 5.53439i | −0.292241 | − | 0.306993i | ||||
\(326\) | −32.3181 | − | 18.6589i | −1.78993 | − | 1.03342i | ||||
\(327\) | − | 31.4750i | − | 1.74057i | ||||||
\(328\) | −5.07236 | + | 8.78558i | −0.280074 | + | 0.485103i | ||||
\(329\) | −0.860276 | − | 0.496681i | −0.0474285 | − | 0.0273829i | ||||
\(330\) | −24.3919 | − | 32.6114i | −1.34273 | − | 1.79520i | ||||
\(331\) | −8.80720 | + | 32.8689i | −0.484088 | + | 1.80664i | 0.100047 | + | 0.994983i | \(0.468101\pi\) |
−0.584135 | + | 0.811657i | \(0.698566\pi\) | |||||||
\(332\) | 6.67217 | + | 6.67217i | 0.366183 | + | 0.366183i | ||||
\(333\) | −0.536465 | − | 1.90163i | −0.0293981 | − | 0.104209i | ||||
\(334\) | 29.5921i | 1.61921i | ||||||||
\(335\) | −1.21152 | − | 10.1678i | −0.0661923 | − | 0.555527i | ||||
\(336\) | −4.06555 | − | 2.34725i | −0.221794 | − | 0.128053i | ||||
\(337\) | −13.5915 | + | 3.64184i | −0.740377 | + | 0.198383i | −0.609246 | − | 0.792982i | \(-0.708528\pi\) |
−0.131131 | + | 0.991365i | \(0.541861\pi\) | |||||||
\(338\) | 16.4777 | + | 9.51340i | 0.896268 | + | 0.517461i | ||||
\(339\) | −10.8784 | + | 10.8784i | −0.590836 | + | 0.590836i | ||||
\(340\) | −2.74297 | + | 19.0229i | −0.148759 | + | 1.03166i | ||||
\(341\) | 13.9432 | + | 13.9432i | 0.755067 | + | 0.755067i | ||||
\(342\) | 1.41605 | + | 0.379429i | 0.0765711 | + | 0.0205172i | ||||
\(343\) | −5.03327 | − | 5.03327i | −0.271771 | − | 0.271771i | ||||
\(344\) | −15.3973 | −0.830168 | ||||||||
\(345\) | −0.554046 | − | 4.64989i | −0.0298288 | − | 0.250342i | ||||
\(346\) | −11.9242 | + | 3.19509i | −0.641050 | + | 0.171769i | ||||
\(347\) | − | 1.28181i | − | 0.0688112i | −0.999408 | − | 0.0344056i | \(-0.989046\pi\) | ||
0.999408 | − | 0.0344056i | \(-0.0109538\pi\) | |||||||
\(348\) | −5.90072 | − | 10.2203i | −0.316312 | − | 0.547868i | ||||
\(349\) | 12.5495 | − | 7.24548i | 0.671761 | − | 0.387842i | −0.124982 | − | 0.992159i | \(-0.539887\pi\) |
0.796744 | + | 0.604317i | \(0.206554\pi\) | |||||||
\(350\) | −2.21290 | − | 4.06047i | −0.118284 | − | 0.217041i | ||||
\(351\) | −1.92938 | − | 7.20053i | −0.102983 | − | 0.384336i | ||||
\(352\) | 16.6433 | − | 28.8271i | 0.887091 | − | 1.53649i | ||||
\(353\) | 1.79288 | + | 3.10536i | 0.0954254 | + | 0.165282i | 0.909786 | − | 0.415077i | \(-0.136246\pi\) |
−0.814361 | + | 0.580359i | \(0.802912\pi\) | |||||||
\(354\) | 5.08325 | + | 8.80444i | 0.270171 | + | 0.467951i | ||||
\(355\) | 9.80251 | + | 7.71523i | 0.520263 | + | 0.409482i | ||||
\(356\) | 2.89808 | + | 2.89808i | 0.153598 | + | 0.153598i | ||||
\(357\) | −5.94731 | − | 3.43368i | −0.314765 | − | 0.181730i | ||||
\(358\) | 11.3237 | + | 3.03416i | 0.598474 | + | 0.160361i | ||||
\(359\) | − | 8.45187i | − | 0.446073i | −0.974810 | − | 0.223036i | \(-0.928403\pi\) | ||
0.974810 | − | 0.223036i | \(-0.0715969\pi\) | |||||||
\(360\) | −0.982968 | + | 0.393057i | −0.0518070 | + | 0.0207159i | ||||
\(361\) | 10.9128 | − | 6.30049i | 0.574356 | − | 0.331605i | ||||
\(362\) | 25.3937i | 1.33466i | ||||||||
\(363\) | 9.59990 | + | 35.8273i | 0.503864 | + | 1.88045i | ||||
\(364\) | −0.662726 | − | 0.662726i | −0.0347363 | − | 0.0347363i | ||||
\(365\) | −10.2809 | − | 13.7454i | −0.538128 | − | 0.719465i | ||||
\(366\) | 2.80296 | − | 4.85487i | 0.146513 | − | 0.253768i | ||||
\(367\) | −0.171428 | − | 0.639778i | −0.00894846 | − | 0.0333961i | 0.961307 | − | 0.275478i | \(-0.0888363\pi\) |
−0.970256 | + | 0.242082i | \(0.922170\pi\) | |||||||
\(368\) | 4.93986 | − | 2.85203i | 0.257508 | − | 0.148672i | ||||
\(369\) | 2.26092 | 0.117699 | ||||||||
\(370\) | 24.0563 | − | 3.18801i | 1.25063 | − | 0.165737i | ||||
\(371\) | 4.29548 | 0.223010 | ||||||||
\(372\) | −6.58024 | + | 3.79910i | −0.341170 | + | 0.196974i | ||||
\(373\) | −3.46797 | − | 12.9426i | −0.179565 | − | 0.670144i | −0.995729 | − | 0.0923244i | \(-0.970570\pi\) |
0.816164 | − | 0.577820i | \(-0.196096\pi\) | |||||||
\(374\) | 36.2831 | − | 62.8442i | 1.87615 | − | 3.24959i | ||||
\(375\) | −20.1000 | − | 3.40519i | −1.03796 | − | 0.175843i | ||||
\(376\) | −1.97491 | − | 1.97491i | −0.101848 | − | 0.101848i | ||||
\(377\) | 2.16382 | + | 8.07549i | 0.111442 | + | 0.415909i | ||||
\(378\) | − | 4.51143i | − | 0.232043i | ||||||
\(379\) | −13.4140 | + | 7.74459i | −0.689032 | + | 0.397813i | −0.803249 | − | 0.595643i | \(-0.796897\pi\) |
0.114217 | + | 0.993456i | \(0.463564\pi\) | |||||||
\(380\) | −2.63678 | + | 6.15055i | −0.135264 | + | 0.315517i | ||||
\(381\) | − | 31.0183i | − | 1.58912i | ||||||
\(382\) | 24.9085 | + | 6.67420i | 1.27443 | + | 0.341482i | ||||
\(383\) | 8.66601 | + | 5.00333i | 0.442813 | + | 0.255658i | 0.704790 | − | 0.709416i | \(-0.251041\pi\) |
−0.261977 | + | 0.965074i | \(0.584375\pi\) | |||||||
\(384\) | −13.7796 | − | 13.7796i | −0.703190 | − | 0.703190i | ||||
\(385\) | 0.767788 | + | 6.44376i | 0.0391301 | + | 0.328404i | ||||
\(386\) | 10.0090 | + | 17.3361i | 0.509444 | + | 0.882384i | ||||
\(387\) | 1.71578 | + | 2.97181i | 0.0872178 | + | 0.151066i | ||||
\(388\) | 7.88271 | − | 13.6533i | 0.400184 | − | 0.693139i | ||||
\(389\) | 7.52118 | + | 28.0694i | 0.381339 | + | 1.42318i | 0.843858 | + | 0.536567i | \(0.180279\pi\) |
−0.462519 | + | 0.886609i | \(0.653054\pi\) | |||||||
\(390\) | −11.0386 | + | 1.31528i | −0.558964 | + | 0.0666018i | ||||
\(391\) | 7.22630 | − | 4.17211i | 0.365450 | − | 0.210992i | ||||
\(392\) | −4.90542 | − | 8.49644i | −0.247761 | − | 0.429135i | ||||
\(393\) | 5.28567i | 0.266627i | ||||||||
\(394\) | 6.65344 | − | 1.78278i | 0.335195 | − | 0.0898153i | ||||
\(395\) | 7.92570 | − | 0.944365i | 0.398785 | − | 0.0475162i | ||||
\(396\) | −2.15142 | −0.108113 | ||||||||
\(397\) | 4.87014 | + | 4.87014i | 0.244425 | + | 0.244425i | 0.818678 | − | 0.574253i | \(-0.194707\pi\) |
−0.574253 | + | 0.818678i | \(0.694707\pi\) | |||||||
\(398\) | 8.11411 | + | 2.17417i | 0.406724 | + | 0.108981i | ||||
\(399\) | −1.69076 | − | 1.69076i | −0.0846437 | − | 0.0846437i | ||||
\(400\) | −5.83484 | − | 24.1372i | −0.291742 | − | 1.20686i | ||||
\(401\) | −12.2227 | + | 12.2227i | −0.610373 | + | 0.610373i | −0.943043 | − | 0.332670i | \(-0.892050\pi\) |
0.332670 | + | 0.943043i | \(0.392050\pi\) | |||||||
\(402\) | −12.9016 | − | 7.44872i | −0.643471 | − | 0.371508i | ||||
\(403\) | 5.19931 | − | 1.39315i | 0.258996 | − | 0.0693977i | ||||
\(404\) | −14.1350 | − | 8.16085i | −0.703243 | − | 0.406018i | ||||
\(405\) | −17.3408 | − | 13.6484i | −0.861673 | − | 0.678194i | ||||
\(406\) | 5.05962i | 0.251105i | ||||||||
\(407\) | −33.0063 | − | 8.37999i | −1.63606 | − | 0.415381i | ||||
\(408\) | −13.6530 | − | 13.6530i | −0.675926 | − | 0.675926i | ||||
\(409\) | 5.14727 | − | 19.2099i | 0.254516 | − | 0.949867i | −0.713843 | − | 0.700306i | \(-0.753047\pi\) |
0.968359 | − | 0.249561i | \(-0.0802863\pi\) | |||||||
\(410\) | −3.96292 | + | 27.4834i | −0.195715 | + | 1.35731i | ||||
\(411\) | 31.8551 | + | 18.3916i | 1.57130 | + | 0.907188i | ||||
\(412\) | −0.932834 | + | 1.61572i | −0.0459574 | + | 0.0796006i | ||||
\(413\) | − | 1.62001i | − | 0.0797156i | ||||||
\(414\) | −0.576425 | − | 0.332799i | −0.0283297 | − | 0.0163562i | ||||
\(415\) | −16.3916 | − | 7.02717i | −0.804631 | − | 0.344950i | ||||
\(416\) | −4.54322 | − | 7.86908i | −0.222750 | − | 0.385814i | ||||
\(417\) | 3.00573 | − | 3.00573i | 0.147191 | − | 0.147191i | ||||
\(418\) | 17.8659 | − | 17.8659i | 0.873851 | − | 0.873851i | ||||
\(419\) | 25.2333 | − | 14.5684i | 1.23273 | − | 0.711715i | 0.265129 | − | 0.964213i | \(-0.414585\pi\) |
0.967597 | + | 0.252498i | \(0.0812521\pi\) | |||||||
\(420\) | −2.47494 | − | 0.356870i | −0.120765 | − | 0.0174135i | ||||
\(421\) | −10.7843 | + | 10.7843i | −0.525594 | + | 0.525594i | −0.919256 | − | 0.393661i | \(-0.871208\pi\) |
0.393661 | + | 0.919256i | \(0.371208\pi\) | |||||||
\(422\) | −21.8887 | + | 12.6375i | −1.06553 | + | 0.615182i | ||||
\(423\) | −0.161103 | + | 0.601244i | −0.00783309 | + | 0.0292335i | ||||
\(424\) | 11.6657 | + | 3.12581i | 0.566535 | + | 0.151803i | ||||
\(425\) | −8.53553 | − | 35.3092i | −0.414034 | − | 1.71275i | ||||
\(426\) | 17.5304 | − | 4.69724i | 0.849348 | − | 0.227582i | ||||
\(427\) | −0.773614 | + | 0.446646i | −0.0374378 | + | 0.0216147i | ||||
\(428\) | −4.84510 | − | 1.29824i | −0.234197 | − | 0.0627529i | ||||
\(429\) | 15.0686 | + | 4.03763i | 0.727520 | + | 0.194938i | ||||
\(430\) | −39.1322 | + | 15.6477i | −1.88712 | + | 0.754601i | ||||
\(431\) | 2.59309 | + | 9.67755i | 0.124905 | + | 0.466151i | 0.999836 | − | 0.0180956i | \(-0.00576032\pi\) |
−0.874931 | + | 0.484247i | \(0.839094\pi\) | |||||||
\(432\) | 6.27020 | − | 23.4007i | 0.301675 | − | 1.12587i | ||||
\(433\) | 3.97942 | + | 3.97942i | 0.191239 | + | 0.191239i | 0.796231 | − | 0.604992i | \(-0.206824\pi\) |
−0.604992 | + | 0.796231i | \(0.706824\pi\) | |||||||
\(434\) | 3.25758 | 0.156369 | ||||||||
\(435\) | 17.5276 | + | 13.7954i | 0.840385 | + | 0.661440i | ||||
\(436\) | 14.4403 | − | 14.4403i | 0.691565 | − | 0.691565i | ||||
\(437\) | 2.80631 | − | 0.751948i | 0.134244 | − | 0.0359705i | ||||
\(438\) | −24.9725 | −1.19323 | ||||||||
\(439\) | 25.0684 | − | 6.71707i | 1.19645 | − | 0.320588i | 0.395018 | − | 0.918673i | \(-0.370738\pi\) |
0.801433 | + | 0.598085i | \(0.204072\pi\) | |||||||
\(440\) | −2.60394 | + | 18.0587i | −0.124138 | + | 0.860914i | ||||
\(441\) | −1.09326 | + | 1.89357i | −0.0520598 | + | 0.0901702i | ||||
\(442\) | −9.90440 | − | 17.1549i | −0.471104 | − | 0.815977i | ||||
\(443\) | −13.4522 | + | 13.4522i | −0.639135 | + | 0.639135i | −0.950342 | − | 0.311207i | \(-0.899267\pi\) |
0.311207 | + | 0.950342i | \(0.399267\pi\) | |||||||
\(444\) | 6.41079 | − | 11.4492i | 0.304242 | − | 0.543356i | ||||
\(445\) | −7.11973 | − | 3.05227i | −0.337508 | − | 0.144692i | ||||
\(446\) | 21.6939 | + | 5.81287i | 1.02724 | + | 0.275247i | ||||
\(447\) | −20.4946 | + | 5.49150i | −0.969360 | + | 0.259739i | ||||
\(448\) | −0.0905618 | − | 0.337981i | −0.00427864 | − | 0.0159681i | ||||
\(449\) | −7.64918 | − | 28.5471i | −0.360987 | − | 1.34722i | −0.872780 | − | 0.488114i | \(-0.837685\pi\) |
0.511793 | − | 0.859109i | \(-0.328982\pi\) | |||||||
\(450\) | −2.09876 | + | 1.99791i | −0.0989365 | + | 0.0941823i | ||||
\(451\) | 19.4833 | − | 33.7460i | 0.917430 | − | 1.58904i | ||||
\(452\) | −9.98175 | −0.469502 | ||||||||
\(453\) | 0.597844 | − | 2.23118i | 0.0280892 | − | 0.104830i | ||||
\(454\) | 24.1056i | 1.13133i | ||||||||
\(455\) | 1.62812 | + | 0.697986i | 0.0763276 | + | 0.0327221i | ||||
\(456\) | −3.36140 | − | 5.82212i | −0.157412 | − | 0.272646i | ||||
\(457\) | 0.940769 | − | 1.62946i | 0.0440073 | − | 0.0762229i | −0.843183 | − | 0.537627i | \(-0.819321\pi\) |
0.887190 | + | 0.461404i | \(0.152654\pi\) | |||||||
\(458\) | −36.5708 | −1.70884 | ||||||||
\(459\) | 9.17240 | − | 34.2319i | 0.428131 | − | 1.59781i | ||||
\(460\) | 1.87912 | − | 2.38749i | 0.0876143 | − | 0.111317i | ||||
\(461\) | −3.29629 | + | 12.3019i | −0.153523 | + | 0.572957i | 0.845704 | + | 0.533653i | \(0.179181\pi\) |
−0.999227 | + | 0.0393048i | \(0.987486\pi\) | |||||||
\(462\) | 8.17624 | + | 4.72055i | 0.380393 | + | 0.219620i | ||||
\(463\) | −27.2476 | − | 15.7314i | −1.26630 | − | 0.731100i | −0.292016 | − | 0.956413i | \(-0.594326\pi\) |
−0.974286 | + | 0.225313i | \(0.927659\pi\) | |||||||
\(464\) | −7.03212 | + | 26.2442i | −0.326458 | + | 1.21836i | ||||
\(465\) | 8.88201 | − | 11.2849i | 0.411893 | − | 0.523327i | ||||
\(466\) | −1.64734 | + | 6.14797i | −0.0763117 | + | 0.284799i | ||||
\(467\) | −0.00854231 | −0.000395291 | −0.000197645 | − | 1.00000i | \(-0.500063\pi\) | ||||
−0.000197645 | 1.00000i | \(0.500063\pi\) | ||||||||
\(468\) | −0.293642 | + | 0.508603i | −0.0135736 | + | 0.0235102i | ||||
\(469\) | 1.18694 | + | 2.05584i | 0.0548078 | + | 0.0949298i | ||||
\(470\) | −7.02624 | − | 3.01219i | −0.324097 | − | 0.138942i | ||||
\(471\) | 15.3839i | 0.708855i | ||||||||
\(472\) | 1.17888 | − | 4.39963i | 0.0542623 | − | 0.202510i | ||||
\(473\) | 59.1421 | 2.71936 | ||||||||
\(474\) | 5.80619 | − | 10.0566i | 0.266687 | − | 0.461916i | ||||
\(475\) | 0.311278 | − | 12.6443i | 0.0142824 | − | 0.580161i | ||||
\(476\) | −1.15322 | − | 4.30386i | −0.0528576 | − | 0.197267i | ||||
\(477\) | −0.696639 | − | 2.59989i | −0.0318969 | − | 0.119041i | ||||
\(478\) | 34.3676 | − | 9.20878i | 1.57194 | − | 0.421200i | ||||
\(479\) | 29.4942 | + | 7.90296i | 1.34763 | + | 0.361095i | 0.859258 | − | 0.511543i | \(-0.170926\pi\) |
0.488368 | + | 0.872638i | \(0.337592\pi\) | |||||||
\(480\) | −22.2813 | − | 9.55215i | −1.01700 | − | 0.435994i | ||||
\(481\) | −6.48602 | + | 6.65905i | −0.295737 | + | 0.303626i | ||||
\(482\) | −31.7449 | + | 31.7449i | −1.44594 | + | 1.44594i | ||||
\(483\) | 0.542805 | + | 0.940166i | 0.0246985 | + | 0.0427790i | ||||
\(484\) | −12.0328 | + | 20.8413i | −0.546943 | + | 0.947334i | ||||
\(485\) | −4.25263 | + | 29.4926i | −0.193102 | + | 1.33919i | ||||
\(486\) | −5.79275 | + | 1.55216i | −0.262764 | + | 0.0704075i | ||||
\(487\) | −8.10762 | −0.367391 | −0.183696 | − | 0.982983i | \(-0.558806\pi\) | ||||
−0.183696 | + | 0.982983i | \(0.558806\pi\) | |||||||
\(488\) | −2.42601 | + | 0.650047i | −0.109820 | + | 0.0294262i | ||||
\(489\) | 26.9688 | − | 26.9688i | 1.21957 | − | 1.21957i | ||||
\(490\) | −21.1017 | − | 16.6085i | −0.953279 | − | 0.750295i | ||||
\(491\) | −39.0457 | −1.76211 | −0.881055 | − | 0.473015i | \(-0.843166\pi\) | ||||
−0.881055 | + | 0.473015i | \(0.843166\pi\) | |||||||
\(492\) | 10.6172 | + | 10.6172i | 0.478660 | + | 0.478660i | ||||
\(493\) | −10.2870 | + | 38.3915i | −0.463302 | + | 1.72907i | ||||
\(494\) | −1.78509 | − | 6.66205i | −0.0803151 | − | 0.299740i | ||||
\(495\) | 3.77564 | − | 1.50976i | 0.169703 | − | 0.0678586i | ||||
\(496\) | 16.8970 | + | 4.52754i | 0.758698 | + | 0.203293i | ||||
\(497\) | −2.79343 | − | 0.748497i | −0.125302 | − | 0.0335747i | ||||
\(498\) | −22.4704 | + | 12.9733i | −1.00692 | + | 0.581347i | ||||
\(499\) | −20.2333 | + | 5.42151i | −0.905769 | + | 0.242700i | −0.681492 | − | 0.731825i | \(-0.738669\pi\) |
−0.224277 | + | 0.974525i | \(0.572002\pi\) | |||||||
\(500\) | −7.65932 | − | 10.7838i | −0.342535 | − | 0.482267i | ||||
\(501\) | −29.2133 | − | 7.82769i | −1.30516 | − | 0.349715i | ||||
\(502\) | 6.80184 | − | 25.3848i | 0.303581 | − | 1.13298i | ||||
\(503\) | 15.8054 | − | 9.12523i | 0.704726 | − | 0.406874i | −0.104379 | − | 0.994538i | \(-0.533285\pi\) |
0.809105 | + | 0.587664i | \(0.199952\pi\) | |||||||
\(504\) | 0.173541 | − | 0.173541i | 0.00773015 | − | 0.00773015i | ||||
\(505\) | 30.5332 | + | 4.40268i | 1.35871 | + | 0.195917i | ||||
\(506\) | −9.93457 | + | 5.73573i | −0.441645 | + | 0.254984i | ||||
\(507\) | −13.7503 | + | 13.7503i | −0.610673 | + | 0.610673i | ||||
\(508\) | 14.2308 | − | 14.2308i | 0.631388 | − | 0.631388i | ||||
\(509\) | −2.01917 | − | 3.49730i | −0.0894981 | − | 0.155015i | 0.817801 | − | 0.575501i | \(-0.195193\pi\) |
−0.907299 | + | 0.420486i | \(0.861860\pi\) | |||||||
\(510\) | −48.5742 | − | 20.8241i | −2.15090 | − | 0.922106i | ||||
\(511\) | 3.44620 | + | 1.98966i | 0.152451 | + | 0.0880176i | ||||
\(512\) | − | 15.0523i | − | 0.665224i | ||||||
\(513\) | 6.16969 | − | 10.6862i | 0.272398 | − | 0.471808i | ||||
\(514\) | 12.6750 | + | 7.31794i | 0.559072 | + | 0.322781i | ||||
\(515\) | 0.503253 | − | 3.49013i | 0.0221760 | − | 0.153793i | ||||
\(516\) | −5.89829 | + | 22.0127i | −0.259658 | + | 0.969057i | ||||
\(517\) | 7.58575 | + | 7.58575i | 0.333621 | + | 0.333621i | ||||
\(518\) | −4.83458 | + | 2.87674i | −0.212419 | + | 0.126397i | ||||
\(519\) | − | 12.6168i | − | 0.553814i | ||||||
\(520\) | 3.91374 | + | 3.08037i | 0.171629 | + | 0.135083i | ||||
\(521\) | −24.7277 | − | 14.2766i | −1.08334 | − | 0.625468i | −0.151546 | − | 0.988450i | \(-0.548425\pi\) |
−0.931796 | + | 0.362983i | \(0.881758\pi\) | |||||||
\(522\) | 3.06240 | − | 0.820567i | 0.134038 | − | 0.0359152i | ||||
\(523\) | 11.7475 | + | 6.78240i | 0.513681 | + | 0.296574i | 0.734345 | − | 0.678776i | \(-0.237489\pi\) |
−0.220665 | + | 0.975350i | \(0.570823\pi\) | |||||||
\(524\) | −2.42499 | + | 2.42499i | −0.105936 | + | 0.105936i | ||||
\(525\) | 4.59385 | − | 1.11050i | 0.200492 | − | 0.0484663i | ||||
\(526\) | 37.3314 | + | 37.3314i | 1.62773 | + | 1.62773i | ||||
\(527\) | 24.7179 | + | 6.62314i | 1.07673 | + | 0.288508i | ||||
\(528\) | 35.8492 | + | 35.8492i | 1.56014 | + | 1.56014i | ||||
\(529\) | 21.6809 | 0.942649 | ||||||||
\(530\) | 32.8249 | − | 3.91116i | 1.42582 | − | 0.169890i | ||||
\(531\) | −0.980532 | + | 0.262733i | −0.0425515 | + | 0.0114016i | ||||
\(532\) | − | 1.55139i | − | 0.0672613i | ||||||
\(533\) | −5.31845 | − | 9.21183i | −0.230368 | − | 0.399009i | ||||
\(534\) | −9.76009 | + | 5.63499i | −0.422360 | + | 0.243850i | ||||
\(535\) | 9.41398 | − | 1.12170i | 0.407002 | − | 0.0484952i | ||||
\(536\) | 1.72746 | + | 6.44699i | 0.0746151 | + | 0.278467i | ||||
\(537\) | −5.99066 | + | 10.3761i | −0.258516 | + | 0.447763i | ||||
\(538\) | 6.59966 | + | 11.4310i | 0.284532 | + | 0.492823i | ||||
\(539\) | 18.8420 | + | 32.6354i | 0.811584 | + | 1.40571i | ||||
\(540\) | −1.52676 | − | 12.8136i | −0.0657015 | − | 0.551407i | ||||
\(541\) | 17.7354 | + | 17.7354i | 0.762506 | + | 0.762506i | 0.976775 | − | 0.214269i | \(-0.0687368\pi\) |
−0.214269 | + | 0.976775i | \(0.568737\pi\) | |||||||
\(542\) | 27.0570 | + | 15.6214i | 1.16220 | + | 0.670996i | ||||
\(543\) | −25.0687 | − | 6.71713i | −1.07580 | − | 0.288260i | ||||
\(544\) | − | 43.1976i | − | 1.85208i | ||||||
\(545\) | −15.2086 | + | 35.4756i | −0.651465 | + | 1.51961i | ||||
\(546\) | 2.23191 | − | 1.28860i | 0.0955171 | − | 0.0551468i | ||||
\(547\) | 5.95549i | 0.254638i | 0.991862 | + | 0.127319i | \(0.0406372\pi\) | ||||
−0.991862 | + | 0.127319i | \(0.959363\pi\) | |||||||
\(548\) | 6.17688 | + | 23.0524i | 0.263863 | + | 0.984752i | ||||
\(549\) | 0.395803 | + | 0.395803i | 0.0168924 | + | 0.0168924i | ||||
\(550\) | 11.7345 | + | 48.5424i | 0.500360 | + | 2.06985i | ||||
\(551\) | −6.91938 | + | 11.9847i | −0.294776 | + | 0.510566i | ||||
\(552\) | 0.789996 | + | 2.94830i | 0.0336244 | + | 0.125488i | ||||
\(553\) | −1.60250 | + | 0.925206i | −0.0681454 | + | 0.0393437i | ||||
\(554\) | 0.594084 | 0.0252402 | ||||||||
\(555\) | −3.21615 | + | 24.5917i | −0.136518 | + | 1.04386i | ||||
\(556\) | 2.75797 | 0.116964 | ||||||||
\(557\) | 31.2534 | − | 18.0441i | 1.32425 | − | 0.764555i | 0.339845 | − | 0.940482i | \(-0.389625\pi\) |
0.984403 | + | 0.175927i | \(0.0562921\pi\) | |||||||
\(558\) | −0.528312 | − | 1.97169i | −0.0223652 | − | 0.0834682i | ||||
\(559\) | 8.07218 | − | 13.9814i | 0.341417 | − | 0.591351i | ||||
\(560\) | 3.44811 | + | 4.61004i | 0.145709 | + | 0.194810i | ||||
\(561\) | 52.4422 | + | 52.4422i | 2.21411 | + | 2.21411i | ||||
\(562\) | −14.3068 | − | 53.3937i | −0.603496 | − | 2.25228i | ||||
\(563\) | 7.14047i | 0.300935i | 0.988615 | + | 0.150467i | \(0.0480779\pi\) | ||||
−0.988615 | + | 0.150467i | \(0.951922\pi\) | |||||||
\(564\) | −3.57995 | + | 2.06689i | −0.150743 | + | 0.0870316i | ||||
\(565\) | 17.5175 | − | 7.00470i | 0.736968 | − | 0.294690i | ||||
\(566\) | 28.4727i | 1.19680i | ||||||||
\(567\) | 4.94163 | + | 1.32411i | 0.207529 | + | 0.0556072i | ||||
\(568\) | −7.04173 | − | 4.06554i | −0.295464 | − | 0.170586i | ||||
\(569\) | 4.46279 | + | 4.46279i | 0.187090 | + | 0.187090i | 0.794437 | − | 0.607347i | \(-0.207766\pi\) |
−0.607347 | + | 0.794437i | \(0.707766\pi\) | |||||||
\(570\) | −14.4598 | − | 11.3808i | −0.605654 | − | 0.476691i | ||||
\(571\) | −13.7670 | − | 23.8452i | −0.576133 | − | 0.997891i | −0.995918 | − | 0.0902676i | \(-0.971228\pi\) |
0.419785 | − | 0.907624i | \(-0.362106\pi\) | |||||||
\(572\) | 5.06087 | + | 8.76568i | 0.211605 | + | 0.366511i | ||||
\(573\) | −13.1776 | + | 22.8242i | −0.550500 | + | 0.953495i | ||||
\(574\) | −1.66611 | − | 6.21802i | −0.0695422 | − | 0.259535i | ||||
\(575\) | −1.62234 | + | 5.50862i | −0.0676564 | + | 0.229725i | ||||
\(576\) | −0.189880 | + | 0.109627i | −0.00791167 | + | 0.00456780i | ||||
\(577\) | −9.79920 | − | 16.9727i | −0.407946 | − | 0.706583i | 0.586714 | − | 0.809795i | \(-0.300421\pi\) |
−0.994659 | + | 0.103212i | \(0.967088\pi\) | |||||||
\(578\) | − | 63.8426i | − | 2.65550i | ||||||
\(579\) | −19.7618 | + | 5.29515i | −0.821271 | + | 0.220059i | ||||
\(580\) | 1.71229 | + | 14.3706i | 0.0710988 | + | 0.596705i | ||||
\(581\) | 4.13454 | 0.171530 | ||||||||
\(582\) | 30.6541 | + | 30.6541i | 1.27065 | + | 1.27065i | ||||
\(583\) | −44.8086 | − | 12.0064i | −1.85578 | − | 0.497256i | ||||
\(584\) | 7.91133 | + | 7.91133i | 0.327373 | + | 0.327373i | ||||
\(585\) | 0.158417 | − | 1.09864i | 0.00654972 | − | 0.0454232i | ||||
\(586\) | −38.4594 | + | 38.4594i | −1.58874 | + | 1.58874i | ||||
\(587\) | 4.50181 | + | 2.59912i | 0.185809 | + | 0.107277i | 0.590019 | − | 0.807389i | \(-0.299120\pi\) |
−0.404210 | + | 0.914666i | \(0.632453\pi\) | |||||||
\(588\) | −14.0260 | + | 3.75827i | −0.578424 | + | 0.154988i | ||||
\(589\) | 7.71622 | + | 4.45496i | 0.317941 | + | 0.183563i | ||||
\(590\) | −1.47507 | − | 12.3797i | −0.0607277 | − | 0.509664i | ||||
\(591\) | 7.03986i | 0.289581i | ||||||||
\(592\) | −29.0751 | + | 8.20231i | −1.19498 | + | 0.337113i | ||||
\(593\) | 31.9545 | + | 31.9545i | 1.31221 | + | 1.31221i | 0.919781 | + | 0.392432i | \(0.128366\pi\) |
0.392432 | + | 0.919781i | \(0.371634\pi\) | |||||||
\(594\) | −12.6100 | + | 47.0613i | −0.517396 | + | 1.93095i | ||||
\(595\) | 5.04409 | + | 6.74382i | 0.206787 | + | 0.276470i | ||||
\(596\) | −11.9220 | − | 6.88319i | −0.488346 | − | 0.281947i | ||||
\(597\) | −4.29268 | + | 7.43515i | −0.175688 | + | 0.304300i | ||||
\(598\) | 3.13143i | 0.128054i | ||||||||
\(599\) | −24.4318 | − | 14.1057i | −0.998257 | − | 0.576344i | −0.0905247 | − | 0.995894i | \(-0.528854\pi\) |
−0.907732 | + | 0.419550i | \(0.862188\pi\) | |||||||
\(600\) | 13.2841 | + | 0.327029i | 0.542321 | + | 0.0133509i | ||||
\(601\) | −16.5666 | − | 28.6942i | −0.675767 | − | 1.17046i | −0.976244 | − | 0.216674i | \(-0.930479\pi\) |
0.300477 | − | 0.953789i | \(-0.402854\pi\) | |||||||
\(602\) | 6.90874 | − | 6.90874i | 0.281579 | − | 0.281579i | ||||
\(603\) | 1.05182 | − | 1.05182i | 0.0428336 | − | 0.0428336i | ||||
\(604\) | 1.29792 | − | 0.749353i | 0.0528115 | − | 0.0304907i | ||||
\(605\) | 6.49153 | − | 45.0196i | 0.263918 | − | 1.83031i | ||||
\(606\) | 31.7357 | − | 31.7357i | 1.28918 | − | 1.28918i | ||||
\(607\) | −39.6225 | + | 22.8760i | −1.60823 | + | 0.928510i | −0.618459 | + | 0.785817i | \(0.712243\pi\) |
−0.989767 | + | 0.142693i | \(0.954424\pi\) | |||||||
\(608\) | 3.89280 | − | 14.5281i | 0.157874 | − | 0.589193i | ||||
\(609\) | −4.99486 | − | 1.33837i | −0.202402 | − | 0.0542335i | ||||
\(610\) | −5.50507 | + | 4.11755i | −0.222894 | + | 0.166715i | ||||
\(611\) | 2.82866 | − | 0.757937i | 0.114435 | − | 0.0306629i | ||||
\(612\) | −2.41794 | + | 1.39600i | −0.0977394 | + | 0.0564298i | ||||
\(613\) | −16.4808 | − | 4.41602i | −0.665654 | − | 0.178362i | −0.0898578 | − | 0.995955i | \(-0.528641\pi\) |
−0.575796 | + | 0.817593i | \(0.695308\pi\) | |||||||
\(614\) | −39.5756 | − | 10.6043i | −1.59714 | − | 0.427953i | ||||
\(615\) | −26.0833 | − | 11.1821i | −1.05178 | − | 0.450905i | ||||
\(616\) | −1.09476 | − | 4.08572i | −0.0441093 | − | 0.164618i | ||||
\(617\) | −1.82050 | + | 6.79418i | −0.0732904 | + | 0.273524i | −0.992840 | − | 0.119450i | \(-0.961887\pi\) |
0.919550 | + | 0.392973i | \(0.128554\pi\) | |||||||
\(618\) | −3.62758 | − | 3.62758i | −0.145923 | − | 0.145923i | ||||
\(619\) | −33.5633 | −1.34902 | −0.674511 | − | 0.738265i | \(-0.735645\pi\) | ||||
−0.674511 | + | 0.738265i | \(0.735645\pi\) | |||||||
\(620\) | 9.25231 | − | 1.10243i | 0.371582 | − | 0.0442748i | ||||
\(621\) | −3.96147 | + | 3.96147i | −0.158968 | + | 0.158968i | ||||
\(622\) | −35.4590 | + | 9.50120i | −1.42178 | + | 0.380964i | ||||
\(623\) | 1.79585 | 0.0719493 | ||||||||
\(624\) | 13.3679 | − | 3.58191i | 0.535143 | − | 0.143391i | ||||
\(625\) | 21.0093 | + | 13.5502i | 0.840373 | + | 0.542008i | ||||
\(626\) | 2.02105 | − | 3.50057i | 0.0807776 | − | 0.139911i | ||||
\(627\) | 12.9114 | + | 22.3631i | 0.515630 | + | 0.893098i | ||||
\(628\) | −7.05793 | + | 7.05793i | −0.281642 | + | 0.281642i | ||||
\(629\) | −42.5327 | + | 11.9988i | −1.69589 | + | 0.478423i | ||||
\(630\) | 0.264691 | − | 0.617419i | 0.0105456 | − | 0.0245986i | ||||
\(631\) | 14.5346 | + | 3.89453i | 0.578613 | + | 0.155039i | 0.536244 | − | 0.844063i | \(-0.319843\pi\) |
0.0423693 | + | 0.999102i | \(0.486509\pi\) | |||||||
\(632\) | −5.02535 | + | 1.34654i | −0.199898 | + | 0.0535625i | ||||
\(633\) | −6.68571 | − | 24.9514i | −0.265733 | − | 0.991730i | ||||
\(634\) | 1.40374 | + | 5.23883i | 0.0557496 | + | 0.208060i | ||||
\(635\) | −14.9879 | + | 34.9608i | −0.594777 | + | 1.38738i | ||||
\(636\) | 8.93761 | − | 15.4804i | 0.354399 | − | 0.613837i | ||||
\(637\) | 10.2868 | 0.407579 | ||||||||
\(638\) | 14.1423 | − | 52.7798i | 0.559899 | − | 2.08957i | ||||
\(639\) | 1.81215i | 0.0716875i | ||||||||
\(640\) | 8.87280 | + | 22.1893i | 0.350728 | + | 0.877110i | ||||
\(641\) | −6.51204 | − | 11.2792i | −0.257210 | − | 0.445501i | 0.708283 | − | 0.705928i | \(-0.249470\pi\) |
−0.965493 | + | 0.260427i | \(0.916137\pi\) | |||||||
\(642\) | 6.89648 | − | 11.9450i | 0.272182 | − | 0.471433i | ||||
\(643\) | −20.7795 | −0.819465 | −0.409732 | − | 0.912206i | \(-0.634378\pi\) | ||||
−0.409732 | + | 0.912206i | \(0.634378\pi\) | |||||||
\(644\) | −0.182304 | + | 0.680366i | −0.00718376 | + | 0.0268102i | ||||
\(645\) | −5.09621 | − | 42.7705i | −0.200663 | − | 1.68409i | ||||
\(646\) | 8.48646 | − | 31.6719i | 0.333895 | − | 1.24611i | ||||
\(647\) | 23.9186 | + | 13.8094i | 0.940336 | + | 0.542903i | 0.890066 | − | 0.455832i | \(-0.150658\pi\) |
0.0502706 | + | 0.998736i | \(0.483992\pi\) | |||||||
\(648\) | 12.4569 | + | 7.19202i | 0.489355 | + | 0.282529i | ||||
\(649\) | −4.52815 | + | 16.8993i | −0.177745 | + | 0.663355i | ||||
\(650\) | 13.0772 | + | 3.85137i | 0.512931 | + | 0.151063i | ||||
\(651\) | −0.861693 | + | 3.21588i | −0.0337724 | + | 0.126040i | ||||
\(652\) | 24.7458 | 0.969121 | ||||||||
\(653\) | −6.28388 | + | 10.8840i | −0.245907 | + | 0.425924i | −0.962386 | − | 0.271685i | \(-0.912419\pi\) |
0.716479 | + | 0.697609i | \(0.245753\pi\) | |||||||
\(654\) | 28.0775 | + | 48.6317i | 1.09792 | + | 1.90165i | ||||
\(655\) | 2.55401 | − | 5.95749i | 0.0997935 | − | 0.232778i | ||||
\(656\) | − | 34.5685i | − | 1.34967i | ||||||
\(657\) | 0.645366 | − | 2.40854i | 0.0251781 | − | 0.0939660i | ||||
\(658\) | 1.77227 | 0.0690903 | ||||||||
\(659\) | 6.48868 | − | 11.2387i | 0.252763 | − | 0.437799i | −0.711522 | − | 0.702663i | \(-0.751994\pi\) |
0.964286 | + | 0.264865i | \(0.0853273\pi\) | |||||||
\(660\) | 24.8201 | + | 10.6405i | 0.966119 | + | 0.414181i | ||||
\(661\) | −2.31806 | − | 8.65112i | −0.0901621 | − | 0.336490i | 0.906079 | − | 0.423107i | \(-0.139061\pi\) |
−0.996242 | + | 0.0866179i | \(0.972394\pi\) | |||||||
\(662\) | −15.7131 | − | 58.6420i | −0.610706 | − | 2.27918i | ||||
\(663\) | 19.5553 | − | 5.23982i | 0.759464 | − | 0.203498i | ||||
\(664\) | 11.2286 | + | 3.00870i | 0.435754 | + | 0.116760i | ||||
\(665\) | 1.08869 | + | 2.72262i | 0.0422175 | + | 0.105579i | ||||
\(666\) | 2.52525 | + | 2.45964i | 0.0978516 | + | 0.0953090i | ||||
\(667\) | 4.44284 | − | 4.44284i | 0.172027 | − | 0.172027i | ||||
\(668\) | −9.81143 | − | 16.9939i | −0.379616 | − | 0.657513i | ||||
\(669\) | −11.4769 | + | 19.8786i | −0.443724 | + | 0.768552i | ||||
\(670\) | 10.9422 | + | 14.6294i | 0.422733 | + | 0.565184i | ||||
\(671\) | 9.31845 | − | 2.49687i | 0.359735 | − | 0.0963906i | ||||
\(672\) | 5.62015 | 0.216802 | ||||||||
\(673\) | 20.3974 | − | 5.46547i | 0.786262 | − | 0.210678i | 0.156718 | − | 0.987643i | \(-0.449909\pi\) |
0.629544 | + | 0.776965i | \(0.283242\pi\) | |||||||
\(674\) | 17.7514 | − | 17.7514i | 0.683757 | − | 0.683757i | ||||
\(675\) | 11.6713 | + | 21.4158i | 0.449229 | + | 0.824295i | ||||
\(676\) | −12.6169 | −0.485265 | ||||||||
\(677\) | −8.32530 | − | 8.32530i | −0.319967 | − | 0.319967i | 0.528787 | − | 0.848754i | \(-0.322647\pi\) |
−0.848754 | + | 0.528787i | \(0.822647\pi\) | |||||||
\(678\) | 7.10397 | − | 26.5124i | 0.272826 | − | 1.01820i | ||||
\(679\) | −1.78792 | − | 6.67259i | −0.0686139 | − | 0.256071i | ||||
\(680\) | 8.79128 | + | 21.9855i | 0.337130 | + | 0.843104i | ||||
\(681\) | −23.7970 | − | 6.37640i | −0.911905 | − | 0.244344i | ||||
\(682\) | −33.9816 | − | 9.10535i | −1.30122 | − | 0.348662i | ||||
\(683\) | 37.5275 | − | 21.6665i | 1.43595 | − | 0.829046i | 0.438385 | − | 0.898787i | \(-0.355551\pi\) |
0.997565 | + | 0.0697413i | \(0.0222174\pi\) | |||||||
\(684\) | −0.938998 | + | 0.251604i | −0.0359035 | + | 0.00962031i | ||||
\(685\) | −27.0172 | − | 36.1214i | −1.03228 | − | 1.38013i | ||||
\(686\) | 12.2668 | + | 3.28689i | 0.468350 | + | 0.125494i | ||||
\(687\) | 9.67370 | − | 36.1027i | 0.369075 | − | 1.37741i | ||||
\(688\) | 45.4377 | − | 26.2334i | 1.73229 | − | 1.00014i | ||||
\(689\) | −8.95420 | + | 8.95420i | −0.341128 | + | 0.341128i | ||||
\(690\) | 5.00402 | + | 6.69026i | 0.190500 | + | 0.254694i | ||||
\(691\) | −36.0683 | + | 20.8241i | −1.37210 | + | 0.792185i | −0.991193 | − | 0.132426i | \(-0.957723\pi\) |
−0.380912 | + | 0.924611i | \(0.624390\pi\) | |||||||
\(692\) | 5.78839 | − | 5.78839i | 0.220042 | − | 0.220042i | ||||
\(693\) | −0.666584 | + | 0.666584i | −0.0253214 | + | 0.0253214i | ||||
\(694\) | 1.14345 | + | 1.98051i | 0.0434047 | + | 0.0751792i | ||||
\(695\) | −4.84012 | + | 1.93541i | −0.183596 | + | 0.0734143i | ||||
\(696\) | −12.5911 | − | 7.26950i | −0.477266 | − | 0.275550i | ||||
\(697\) | − | 50.5687i | − | 1.91542i | ||||||
\(698\) | −12.9268 | + | 22.3898i | −0.489286 | + | 0.847467i | ||||
\(699\) | −5.63353 | − | 3.25252i | −0.213080 | − | 0.123022i | ||||
\(700\) | 2.61708 | + | 1.59811i | 0.0989161 | + | 0.0604029i | ||||
\(701\) | −1.36360 | + | 5.08902i | −0.0515024 | + | 0.192210i | −0.986884 | − | 0.161430i | \(-0.948389\pi\) |
0.935382 | + | 0.353640i | \(0.115056\pi\) | |||||||
\(702\) | 9.40435 | + | 9.40435i | 0.354944 | + | 0.354944i | ||||
\(703\) | −15.3858 | + | 0.202523i | −0.580286 | + | 0.00763831i | ||||
\(704\) | 3.77881i | 0.142419i | ||||||||
\(705\) | 4.83222 | − | 6.13953i | 0.181992 | − | 0.231228i | ||||
\(706\) | −5.54032 | − | 3.19870i | −0.208513 | − | 0.120385i | ||||
\(707\) | −6.90803 | + | 1.85100i | −0.259803 | + | 0.0696141i | ||||
\(708\) | −5.83833 | − | 3.37076i | −0.219418 | − | 0.126681i | ||||
\(709\) | 29.6747 | − | 29.6747i | 1.11446 | − | 1.11446i | 0.121918 | − | 0.992540i | \(-0.461095\pi\) |
0.992540 | − | 0.121918i | \(-0.0389046\pi\) | |||||||
\(710\) | −22.0282 | − | 3.17632i | −0.826703 | − | 0.119205i | ||||
\(711\) | 0.819885 | + | 0.819885i | 0.0307481 | + | 0.0307481i | ||||
\(712\) | 4.87718 | + | 1.30684i | 0.182780 | + | 0.0489757i | ||||
\(713\) | −2.86046 | − | 2.86046i | −0.107125 | − | 0.107125i | ||||
\(714\) | 12.2522 | 0.458526 | ||||||||
\(715\) | −15.0329 | − | 11.8319i | −0.562199 | − | 0.442488i | ||||
\(716\) | −7.50885 | + | 2.01199i | −0.280619 | + | 0.0751916i | ||||
\(717\) | 36.3637i | 1.35803i | ||||||||
\(718\) | 7.53956 | + | 13.0589i | 0.281374 | + | 0.487354i | ||||
\(719\) | −28.8381 | + | 16.6497i | −1.07548 | + | 0.620929i | −0.929674 | − | 0.368384i | \(-0.879911\pi\) |
−0.145807 | + | 0.989313i | \(0.546578\pi\) | |||||||
\(720\) | 2.23107 | − | 2.83466i | 0.0831471 | − | 0.105642i | ||||
\(721\) | 0.211580 | + | 0.789629i | 0.00787967 | + | 0.0294073i | ||||
\(722\) | −11.2408 | + | 19.4696i | −0.418339 | + | 0.724585i | ||||
\(723\) | −22.9414 | − | 39.7357i | −0.853200 | − | 1.47779i | ||||
\(724\) | −8.41942 | − | 14.5829i | −0.312905 | − | 0.541968i | ||||
\(725\) | −13.0895 | − | 24.0181i | −0.486133 | − | 0.892010i | ||||
\(726\) | −46.7927 | − | 46.7927i | −1.73664 | − | 1.73664i | ||||
\(727\) | 39.0531 | + | 22.5473i | 1.44840 | + | 0.836233i | 0.998386 | − | 0.0567895i | \(-0.0180864\pi\) |
0.450012 | + | 0.893023i | \(0.351420\pi\) | |||||||
\(728\) | −1.11530 | − | 0.298844i | −0.0413358 | − | 0.0110759i | ||||
\(729\) | 23.4777i | 0.869546i | ||||||||
\(730\) | 28.1466 | + | 12.0666i | 1.04175 | + | 0.446606i | ||||
\(731\) | 66.4687 | − | 38.3757i | 2.45844 | − | 1.41938i | ||||
\(732\) | 3.71735i | 0.137397i | ||||||||
\(733\) | −12.5896 | − | 46.9849i | −0.465007 | − | 1.73543i | −0.656867 | − | 0.754006i | \(-0.728119\pi\) |
0.191861 | − | 0.981422i | \(-0.438548\pi\) | |||||||
\(734\) | 0.835590 | + | 0.835590i | 0.0308422 | + | 0.0308422i | ||||
\(735\) | 21.9777 | − | 16.4384i | 0.810661 | − | 0.606339i | ||||
\(736\) | −3.41439 | + | 5.91390i | −0.125856 | + | 0.217989i | ||||
\(737\) | −6.63530 | − | 24.7633i | −0.244415 | − | 0.912167i | ||||
\(738\) | −3.49332 | + | 2.01687i | −0.128591 | + | 0.0742420i | ||||
\(739\) | −44.4645 | −1.63565 | −0.817826 | − | 0.575466i | \(-0.804821\pi\) | ||||
−0.817826 | + | 0.575466i | \(0.804821\pi\) | |||||||
\(740\) | −12.7578 | + | 9.80678i | −0.468987 | + | 0.360504i | ||||
\(741\) | 7.04898 | 0.258951 | ||||||||
\(742\) | −6.63690 | + | 3.83182i | −0.243648 | + | 0.140670i | ||||
\(743\) | 6.11311 | + | 22.8144i | 0.224268 | + | 0.836981i | 0.982696 | + | 0.185224i | \(0.0593010\pi\) |
−0.758428 | + | 0.651757i | \(0.774032\pi\) | |||||||
\(744\) | −4.68038 | + | 8.10665i | −0.171591 | + | 0.297204i | ||||
\(745\) | 25.7529 | + | 3.71340i | 0.943515 | + | 0.136048i | ||||
\(746\) | 16.9039 | + | 16.9039i | 0.618896 | + | 0.618896i | ||||
\(747\) | −0.670538 | − | 2.50248i | −0.0245337 | − | 0.0915611i | ||||
\(748\) | 48.1195i | 1.75942i | ||||||||
\(749\) | −1.90342 | + | 1.09894i | −0.0695495 | + | 0.0401544i | ||||
\(750\) | 34.0939 | − | 12.6690i | 1.24493 | − | 0.462607i | ||||
\(751\) | 2.24894i | 0.0820651i | 0.999158 | + | 0.0410326i | \(0.0130647\pi\) | ||||
−0.999158 | + | 0.0410326i | \(0.986935\pi\) | |||||||
\(752\) | 9.19275 | + | 2.46319i | 0.335225 | + | 0.0898233i | ||||
\(753\) | 23.2607 | + | 13.4296i | 0.847667 | + | 0.489401i | ||||
\(754\) | −10.5471 | − | 10.5471i | −0.384103 | − | 0.384103i | ||||
\(755\) | −1.75193 | + | 2.22590i | −0.0637592 | + | 0.0810087i | ||||
\(756\) | 1.49579 | + | 2.59078i | 0.0544013 | + | 0.0942259i | ||||
\(757\) | −12.0194 | − | 20.8182i | −0.436851 | − | 0.756649i | 0.560593 | − | 0.828091i | \(-0.310573\pi\) |
−0.997445 | + | 0.0714426i | \(0.977240\pi\) | |||||||
\(758\) | 13.8172 | − | 23.9322i | 0.501865 | − | 0.869255i | ||||
\(759\) | −3.03442 | − | 11.3246i | −0.110143 | − | 0.411058i | ||||
\(760\) | 0.975421 | + | 8.18634i | 0.0353822 | + | 0.296950i | ||||
\(761\) | 1.34466 | − | 0.776338i | 0.0487438 | − | 0.0281422i | −0.475430 | − | 0.879754i | \(-0.657708\pi\) |
0.524174 | + | 0.851611i | \(0.324374\pi\) | |||||||
\(762\) | 27.6701 | + | 47.9261i | 1.00238 | + | 1.73618i | ||||
\(763\) | − | 8.94821i | − | 0.323947i | ||||||
\(764\) | −16.5171 | + | 4.42574i | −0.597567 | + | 0.160118i | ||||
\(765\) | 3.26373 | − | 4.14670i | 0.118001 | − | 0.149924i | ||||
\(766\) | −17.8530 | −0.645056 | ||||||||
\(767\) | 3.37702 | + | 3.37702i | 0.121937 | + | 0.121937i | ||||
\(768\) | 35.9607 | + | 9.63564i | 1.29762 | + | 0.347696i | ||||
\(769\) | −0.327336 | − | 0.327336i | −0.0118040 | − | 0.0118040i | 0.701180 | − | 0.712984i | \(-0.252657\pi\) |
−0.712984 | + | 0.701180i | \(0.752657\pi\) | |||||||
\(770\) | −6.93450 | − | 9.27127i | −0.249902 | − | 0.334113i | ||||
\(771\) | −10.5771 | + | 10.5771i | −0.380924 | + | 0.380924i | ||||
\(772\) | −11.4958 | − | 6.63708i | −0.413741 | − | 0.238874i | ||||
\(773\) | −8.07254 | + | 2.16303i | −0.290349 | + | 0.0777988i | −0.401054 | − | 0.916055i | \(-0.631356\pi\) |
0.110705 | + | 0.993853i | \(0.464689\pi\) | |||||||
\(774\) | −5.30205 | − | 3.06114i | −0.190578 | − | 0.110030i | ||||
\(775\) | −15.4638 | + | 8.42754i | −0.555475 | + | 0.302726i | ||||
\(776\) | − | 19.4225i | − | 0.697227i | ||||||
\(777\) | −1.56108 | − | 5.53365i | −0.0560035 | − | 0.198519i | ||||
\(778\) | −36.6604 | − | 36.6604i | −1.31434 | − | 1.31434i | ||||
\(779\) | 4.55705 | − | 17.0071i | 0.163273 | − | 0.609344i | ||||
\(780\) | 5.90309 | − | 4.41526i | 0.211365 | − | 0.158092i | ||||
\(781\) | 27.0477 | + | 15.6160i | 0.967844 | + | 0.558785i | ||||
\(782\) | −7.44352 | + | 12.8926i | −0.266180 | + | 0.461037i | ||||
\(783\) | − | 26.6856i | − | 0.953665i | ||||||
\(784\) | 28.9519 | + | 16.7154i | 1.03400 | + | 0.596978i | ||||
\(785\) | 7.43345 | − | 17.3393i | 0.265311 | − | 0.618865i | ||||
\(786\) | −4.71512 | − | 8.16683i | −0.168183 | − | 0.291301i | ||||
\(787\) | −10.6002 | + | 10.6002i | −0.377856 | + | 0.377856i | −0.870328 | − | 0.492472i | \(-0.836093\pi\) |
0.492472 | + | 0.870328i | \(0.336093\pi\) | |||||||
\(788\) | −3.22979 | + | 3.22979i | −0.115056 | + | 0.115056i | ||||
\(789\) | −46.7285 | + | 26.9787i | −1.66358 | + | 0.960468i | ||||
\(790\) | −11.4035 | + | 8.52931i | −0.405718 | + | 0.303459i | ||||
\(791\) | −3.09269 | + | 3.09269i | −0.109964 | + | 0.109964i | ||||
\(792\) | −2.29538 | + | 1.32524i | −0.0815628 | + | 0.0470903i | ||||
\(793\) | 0.681585 | − | 2.54371i | 0.0242038 | − | 0.0903298i | ||||
\(794\) | −11.8692 | − | 3.18035i | −0.421224 | − | 0.112867i | ||||
\(795\) | −4.82173 | + | 33.4394i | −0.171009 | + | 1.18597i | ||||
\(796\) | −5.38056 | + | 1.44172i | −0.190709 | + | 0.0511003i | ||||
\(797\) | 11.2338 | − | 6.48582i | 0.397921 | − | 0.229740i | −0.287666 | − | 0.957731i | \(-0.592879\pi\) |
0.685586 | + | 0.727991i | \(0.259546\pi\) | |||||||
\(798\) | 4.12062 | + | 1.10412i | 0.145868 | + | 0.0390853i | ||||
\(799\) | 13.4477 | + | 3.60329i | 0.475744 | + | 0.127475i | ||||
\(800\) | 20.4978 | + | 21.5325i | 0.724706 | + | 0.761289i | ||||
\(801\) | −0.291250 | − | 1.08696i | −0.0102908 | − | 0.0384059i | ||||
\(802\) | 7.98182 | − | 29.7885i | 0.281848 | − | 1.05187i | ||||
\(803\) | −30.3879 | − | 30.3879i | −1.07237 | − | 1.07237i | ||||
\(804\) | 9.87866 | 0.348393 | ||||||||
\(805\) | −0.157513 | − | 1.32194i | −0.00555159 | − | 0.0465924i | ||||
\(806\) | −6.79062 | + | 6.79062i | −0.239189 | + | 0.239189i | ||||
\(807\) | −13.0304 | + | 3.49148i | −0.458691 | + | 0.122906i | ||||
\(808\) | −20.1078 | −0.707391 | ||||||||
\(809\) | −33.4015 | + | 8.94991i | −1.17434 | + | 0.314662i | −0.792677 | − | 0.609641i | \(-0.791313\pi\) |
−0.381658 | + | 0.924304i | \(0.624647\pi\) | |||||||
\(810\) | 38.9683 | + | 5.61897i | 1.36921 | + | 0.197430i | ||||
\(811\) | −1.04400 | + | 1.80826i | −0.0366598 | + | 0.0634966i | −0.883773 | − | 0.467916i | \(-0.845005\pi\) |
0.847113 | + | 0.531412i | \(0.178338\pi\) | |||||||
\(812\) | −1.67755 | − | 2.90560i | −0.0588703 | − | 0.101966i | ||||
\(813\) | −22.5786 | + | 22.5786i | −0.791865 | + | 0.791865i | ||||
\(814\) | 58.4731 | − | 16.4957i | 2.04948 | − | 0.578173i | ||||
\(815\) | −43.4278 | + | 17.3654i | −1.52121 | + | 0.608284i | ||||
\(816\) | 63.5519 | + | 17.0287i | 2.22476 | + | 0.596123i | ||||
\(817\) | 25.8129 | − | 6.91654i | 0.903079 | − | 0.241979i | ||||
\(818\) | 9.18332 | + | 34.2726i | 0.321087 | + | 1.19831i | ||||
\(819\) | 0.0666024 | + | 0.248564i | 0.00232728 | + | 0.00868551i | ||||
\(820\) | −6.83648 | − | 17.0968i | −0.238740 | − | 0.597048i | ||||
\(821\) | 4.52054 | − | 7.82980i | 0.157768 | − | 0.273262i | −0.776296 | − | 0.630369i | \(-0.782904\pi\) |
0.934063 | + | 0.357107i | \(0.116237\pi\) | |||||||
\(822\) | −65.6253 | −2.28895 | ||||||||
\(823\) | −14.4870 | + | 54.0662i | −0.504985 | + | 1.88463i | −0.0402289 | + | 0.999190i | \(0.512809\pi\) |
−0.464756 | + | 0.885439i | \(0.653858\pi\) | |||||||
\(824\) | 2.29844i | 0.0800701i | ||||||||
\(825\) | −51.0251 | − | 1.25614i | −1.77647 | − | 0.0437331i | ||||
\(826\) | 1.44514 | + | 2.50306i | 0.0502830 | + | 0.0870927i | ||||
\(827\) | −17.2477 | + | 29.8739i | −0.599761 | + | 1.03882i | 0.393095 | + | 0.919498i | \(0.371405\pi\) |
−0.992856 | + | 0.119319i | \(0.961929\pi\) | |||||||
\(828\) | 0.441366 | 0.0153385 | ||||||||
\(829\) | 0.0403492 | − | 0.150585i | 0.00140139 | − | 0.00523005i | −0.965222 | − | 0.261433i | \(-0.915805\pi\) |
0.966623 | + | 0.256203i | \(0.0824716\pi\) | |||||||
\(830\) | 31.5951 | − | 3.76463i | 1.09668 | − | 0.130672i | ||||
\(831\) | −0.157147 | + | 0.586480i | −0.00545136 | + | 0.0203448i | ||||
\(832\) | 0.893325 | + | 0.515761i | 0.0309705 | + | 0.0178808i | ||||
\(833\) | 42.3525 | + | 24.4522i | 1.46743 | + | 0.847219i | ||||
\(834\) | −1.96284 | + | 7.32541i | −0.0679675 | + | 0.253658i | ||||
\(835\) | 29.1441 | + | 22.9384i | 1.00857 | + | 0.793815i | ||||
\(836\) | −4.33634 | + | 16.1834i | −0.149975 | + | 0.559716i | ||||
\(837\) | −17.1812 | −0.593869 | ||||||||
\(838\) | −25.9918 | + | 45.0191i | −0.897871 | + | 1.55516i | ||||
\(839\) | −20.0598 | − | 34.7446i | −0.692541 | − | 1.19952i | −0.971003 | − | 0.239069i | \(-0.923158\pi\) |
0.278462 | − | 0.960447i | \(-0.410175\pi\) | |||||||
\(840\) | −2.86038 | + | 1.14378i | −0.0986926 | + | 0.0394640i | ||||
\(841\) | 0.928230i | 0.0320079i | ||||||||
\(842\) | 7.04248 | − | 26.2829i | 0.242700 | − | 0.905769i | ||||
\(843\) | 56.4948 | 1.94578 | ||||||||
\(844\) | 8.38005 | − | 14.5147i | 0.288453 | − | 0.499615i | ||||
\(845\) | 22.1421 | − | 8.85391i | 0.761711 | − | 0.304584i | ||||
\(846\) | −0.287426 | − | 1.07269i | −0.00988191 | − | 0.0368798i | ||||
\(847\) | 2.72921 | + | 10.1855i | 0.0937767 | + | 0.349979i | ||||
\(848\) | −39.7512 | + | 10.6513i | −1.36506 | + | 0.365767i | ||||
\(849\) | −28.1083 | − | 7.53159i | −0.964674 | − | 0.258484i | ||||
\(850\) | 44.6860 | + | 46.9417i | 1.53272 | + | 1.61009i | ||||
\(851\) | 6.77128 | + | 1.71917i | 0.232116 | + | 0.0589322i | ||||
\(852\) | −8.50978 | + | 8.50978i | −0.291540 | + | 0.291540i | ||||
\(853\) | 3.24666 | + | 5.62338i | 0.111164 | + | 0.192541i | 0.916240 | − | 0.400631i | \(-0.131209\pi\) |
−0.805076 | + | 0.593172i | \(0.797876\pi\) | |||||||
\(854\) | 0.796869 | − | 1.38022i | 0.0272683 | − | 0.0472301i | ||||
\(855\) | 1.47134 | − | 1.10050i | 0.0503187 | − | 0.0376362i | ||||
\(856\) | −5.96901 | + | 1.59939i | −0.204017 | + | 0.0546661i | ||||
\(857\) | −25.9706 | −0.887137 | −0.443569 | − | 0.896240i | \(-0.646288\pi\) | ||||
−0.443569 | + | 0.896240i | \(0.646288\pi\) | |||||||
\(858\) | −26.8842 | + | 7.20359i | −0.917811 | + | 0.245927i | ||||
\(859\) | −17.4971 | + | 17.4971i | −0.596993 | + | 0.596993i | −0.939511 | − | 0.342518i | \(-0.888720\pi\) |
0.342518 | + | 0.939511i | \(0.388720\pi\) | |||||||
\(860\) | 17.2844 | − | 21.9606i | 0.589394 | − | 0.748849i | ||||
\(861\) | 6.57915 | 0.224217 | ||||||||
\(862\) | −12.6395 | − | 12.6395i | −0.430503 | − | 0.430503i | ||||
\(863\) | −7.15937 | + | 26.7191i | −0.243708 | + | 0.909530i | 0.730321 | + | 0.683104i | \(0.239371\pi\) |
−0.974029 | + | 0.226425i | \(0.927296\pi\) | |||||||
\(864\) | 7.50657 | + | 28.0149i | 0.255379 | + | 0.953086i | ||||
\(865\) | −6.09636 | + | 14.2204i | −0.207283 | + | 0.483507i | ||||
\(866\) | −9.69843 | − | 2.59869i | −0.329566 | − | 0.0883070i | ||||
\(867\) | 63.0254 | + | 16.8876i | 2.14046 | + | 0.573534i | ||||
\(868\) | −1.87073 | + | 1.08007i | −0.0634968 | + | 0.0366599i | ||||
\(869\) | 19.3027 | − | 5.17214i | 0.654799 | − | 0.175453i | ||||
\(870\) | −39.3881 | − | 5.67949i | −1.33538 | − | 0.192553i | ||||
\(871\) | −6.75977 | − | 1.81128i | −0.229046 | − | 0.0613727i | ||||
\(872\) | 6.51159 | − | 24.3016i | 0.220510 | − | 0.822955i | ||||
\(873\) | −3.74870 | + | 2.16432i | −0.126874 | + | 0.0732510i | ||||
\(874\) | −3.66521 | + | 3.66521i | −0.123978 | + | 0.123978i | ||||
\(875\) | −5.71433 | − | 0.968080i | −0.193180 | − | 0.0327271i | ||||
\(876\) | 14.3410 | − | 8.27979i | 0.484538 | − | 0.279748i | ||||
\(877\) | 3.01345 | − | 3.01345i | 0.101757 | − | 0.101757i | −0.654395 | − | 0.756152i | \(-0.727077\pi\) |
0.756152 | + | 0.654395i | \(0.227077\pi\) | |||||||
\(878\) | −32.7410 | + | 32.7410i | −1.10495 | + | 1.10495i | ||||
\(879\) | −27.7939 | − | 48.1404i | −0.937465 | − | 1.62374i | ||||
\(880\) | −23.0835 | − | 57.7279i | −0.778146 | − | 1.94601i | ||||
\(881\) | 25.4081 | + | 14.6694i | 0.856021 | + | 0.494224i | 0.862678 | − | 0.505754i | \(-0.168786\pi\) |
−0.00665684 | + | 0.999978i | \(0.502119\pi\) | |||||||
\(882\) | − | 3.90099i | − | 0.131353i | ||||||
\(883\) | −16.0263 | + | 27.7584i | −0.539328 | + | 0.934144i | 0.459612 | + | 0.888120i | \(0.347989\pi\) |
−0.998940 | + | 0.0460243i | \(0.985345\pi\) | |||||||
\(884\) | 11.3756 | + | 6.56772i | 0.382604 | + | 0.220896i | ||||
\(885\) | 12.6114 | + | 1.81848i | 0.423929 | + | 0.0611277i | ||||
\(886\) | 8.78473 | − | 32.7851i | 0.295129 | − | 1.10144i | ||||
\(887\) | 37.8878 | + | 37.8878i | 1.27215 | + | 1.27215i | 0.944959 | + | 0.327189i | \(0.106101\pi\) |
0.327189 | + | 0.944959i | \(0.393899\pi\) | |||||||
\(888\) | −0.212771 | − | 16.1643i | −0.00714012 | − | 0.542439i | ||||
\(889\) | − | 8.81837i | − | 0.295759i | ||||||
\(890\) | 13.7234 | − | 1.63518i | 0.460010 | − | 0.0548113i | ||||
\(891\) | −47.8479 | − | 27.6250i | −1.60297 | − | 0.925473i | ||||
\(892\) | −14.3855 | + | 3.85458i | −0.481662 | + | 0.129061i | ||||
\(893\) | 4.19798 | + | 2.42370i | 0.140480 | + | 0.0811061i | ||||
\(894\) | 26.7672 | − | 26.7672i | 0.895229 | − | 0.895229i | ||||
\(895\) | 11.7658 | − | 8.80029i | 0.393287 | − | 0.294161i | ||||
\(896\) | −3.91749 | − | 3.91749i | −0.130874 | − | 0.130874i | ||||
\(897\) | −3.09135 | − | 0.828324i | −0.103217 | − | 0.0276569i | ||||
\(898\) | 37.2844 | + | 37.2844i | 1.24420 | + | 1.24420i | ||||
\(899\) | 19.2689 | 0.642655 | ||||||||
\(900\) | 0.542840 | − | 1.84320i | 0.0180947 | − | 0.0614399i | ||||
\(901\) | −58.1502 | + | 15.5813i | −1.93727 | + | 0.519089i | ||||
\(902\) | 69.5207i | 2.31479i | ||||||||
\(903\) | 4.99281 | + | 8.64781i | 0.166150 | + | 0.287781i | ||||
\(904\) | −10.6497 | + | 6.14860i | −0.354203 | + | 0.204499i | ||||
\(905\) | 25.0093 | + | 19.6840i | 0.831336 | + | 0.654317i | ||||
\(906\) | 1.06662 | + | 3.98069i | 0.0354362 | + | 0.132250i | ||||
\(907\) | −15.3116 | + | 26.5205i | −0.508414 | + | 0.880600i | 0.491538 | + | 0.870856i | \(0.336435\pi\) |
−0.999953 | + | 0.00974360i | \(0.996898\pi\) | |||||||
\(908\) | −7.99234 | − | 13.8431i | −0.265235 | − | 0.459401i | ||||
\(909\) | 2.24068 | + | 3.88098i | 0.0743188 | + | 0.128724i | ||||
\(910\) | −3.13824 | + | 0.373928i | −0.104032 | + | 0.0123956i | ||||
\(911\) | −36.9318 | − | 36.9318i | −1.22361 | − | 1.22361i | −0.966341 | − | 0.257264i | \(-0.917179\pi\) |
−0.257264 | − | 0.966341i | \(-0.582821\pi\) | |||||||
\(912\) | 19.8391 | + | 11.4541i | 0.656937 | + | 0.379283i | ||||
\(913\) | −43.1298 | − | 11.5566i | −1.42739 | − | 0.382467i | ||||
\(914\) | 3.35688i | 0.111036i | ||||||||
\(915\) | −2.60865 | − | 6.52378i | −0.0862394 | − | 0.215670i | ||||
\(916\) | 21.0016 | − | 12.1253i | 0.693911 | − | 0.400630i | ||||
\(917\) | 1.50269i | 0.0496233i | ||||||||
\(918\) | 16.3646 | + | 61.0736i | 0.540113 | + | 2.01573i | ||||
\(919\) | 27.0236 | + | 27.0236i | 0.891426 | + | 0.891426i | 0.994657 | − | 0.103232i | \(-0.0329183\pi\) |
−0.103232 | + | 0.994657i | \(0.532918\pi\) | |||||||
\(920\) | 0.534202 | − | 3.70476i | 0.0176121 | − | 0.122142i | ||||
\(921\) | 20.9370 | − | 36.2640i | 0.689899 | − | 1.19494i | ||||
\(922\) | −5.88096 | − | 21.9480i | −0.193679 | − | 0.722820i | ||||
\(923\) | 7.38337 | − | 4.26279i | 0.243027 | − | 0.140311i | ||||
\(924\) | −6.26051 | −0.205956 | ||||||||
\(925\) | 15.5075 | − | 26.1633i | 0.509884 | − | 0.860243i | ||||
\(926\) | 56.1333 | 1.84465 | ||||||||
\(927\) | 0.443619 | − | 0.256123i | 0.0145703 | − | 0.00841219i | ||||
\(928\) | −8.41871 | − | 31.4191i | −0.276358 | − | 1.03138i | ||||
\(929\) | 12.6270 | − | 21.8706i | 0.414279 | − | 0.717552i | −0.581073 | − | 0.813851i | \(-0.697367\pi\) |
0.995352 | + | 0.0962988i | \(0.0307004\pi\) | |||||||
\(930\) | −3.65667 | + | 25.3595i | −0.119907 | + | 0.831571i | ||||
\(931\) | 12.0403 | + | 12.0403i | 0.394607 | + | 0.394607i | ||||
\(932\) | −1.09237 | − | 4.07679i | −0.0357819 | − | 0.133540i | ||||
\(933\) | − | 37.5184i | − | 1.22830i | ||||||
\(934\) | 0.0131986 | − | 0.00762023i | 0.000431872 | − | 0.000249342i | ||||
\(935\) | −33.7679 | − | 84.4476i | −1.10433 | − | 2.76173i | ||||
\(936\) | 0.723516i | 0.0236489i | ||||||||
\(937\) | −8.40811 | − | 2.25295i | −0.274681 | − | 0.0736006i | 0.118849 | − | 0.992912i | \(-0.462080\pi\) |
−0.393530 | + | 0.919312i | \(0.628746\pi\) | |||||||
\(938\) | −3.66785 | − | 2.11764i | −0.119760 | − | 0.0691433i | ||||
\(939\) | 2.92116 | + | 2.92116i | 0.0953283 | + | 0.0953283i | ||||
\(940\) | 5.03368 | − | 0.599775i | 0.164181 | − | 0.0195625i | ||||
\(941\) | −19.3440 | − | 33.5049i | −0.630598 | − | 1.09223i | −0.987430 | − | 0.158059i | \(-0.949476\pi\) |
0.356832 | − | 0.934169i | \(-0.383857\pi\) | |||||||
\(942\) | −13.7234 | − | 23.7696i | −0.447131 | − | 0.774454i | ||||
\(943\) | −3.99701 | + | 6.92303i | −0.130161 | + | 0.225445i | ||||
\(944\) | 4.01707 | + | 14.9919i | 0.130744 | + | 0.487945i | ||||
\(945\) | −4.44313 | − | 3.49704i | −0.144535 | − | 0.113759i | ||||
\(946\) | −91.3798 | + | 52.7582i | −2.97101 | + | 1.71532i | ||||
\(947\) | 6.73712 | + | 11.6690i | 0.218927 | + | 0.379193i | 0.954480 | − | 0.298274i | \(-0.0964110\pi\) |
−0.735553 | + | 0.677467i | \(0.763078\pi\) | |||||||
\(948\) | 7.70030i | 0.250094i | ||||||||
\(949\) | −11.3314 | + | 3.03624i | −0.367833 | + | 0.0985605i | ||||
\(950\) | 10.7985 | + | 19.8143i | 0.350350 | + | 0.642860i | ||||
\(951\) | −5.54309 | −0.179747 | ||||||||
\(952\) | −3.88150 | − | 3.88150i | −0.125800 | − | 0.125800i | ||||
\(953\) | 23.8171 | + | 6.38179i | 0.771513 | + | 0.206726i | 0.623040 | − | 0.782190i | \(-0.285897\pi\) |
0.148473 | + | 0.988916i | \(0.452564\pi\) | |||||||
\(954\) | 3.39562 | + | 3.39562i | 0.109937 | + | 0.109937i | ||||
\(955\) | 25.8810 | − | 19.3579i | 0.837490 | − | 0.626406i | ||||
\(956\) | −16.6831 | + | 16.6831i | −0.539571 | + | 0.539571i | ||||
\(957\) | 48.3634 | + | 27.9226i | 1.56337 | + | 0.902610i | ||||
\(958\) | −52.6211 | + | 14.0998i | −1.70011 | + | 0.455543i | ||||
\(959\) | 9.05626 | + | 5.22864i | 0.292442 | + | 0.168841i | ||||
\(960\) | 2.73277 | − | 0.325615i | 0.0881997 | − | 0.0105092i | ||||
\(961\) | 18.5939i | 0.599805i | ||||||||
\(962\) | 4.08122 | − | 16.0747i | 0.131584 | − | 0.518270i | ||||
\(963\) | 0.973843 | + | 0.973843i | 0.0313817 | + | 0.0313817i | ||||
\(964\) | 7.70498 | − | 28.7554i | 0.248161 | − | 0.926148i | ||||
\(965\) | 24.8321 | + | 3.58063i | 0.799374 | + | 0.115264i | ||||
\(966\) | −1.67736 | − | 0.968427i | −0.0539683 | − | 0.0311586i | ||||
\(967\) | −2.76210 | + | 4.78411i | −0.0888233 | + | 0.153846i | −0.907014 | − | 0.421100i | \(-0.861644\pi\) |
0.818191 | + | 0.574947i | \(0.194977\pi\) | |||||||
\(968\) | 29.6480i | 0.952921i | ||||||||
\(969\) | 29.0217 | + | 16.7557i | 0.932311 | + | 0.538270i | ||||
\(970\) | −19.7384 | − | 49.3622i | −0.633761 | − | 1.58493i | ||||
\(971\) | 8.56763 | + | 14.8396i | 0.274948 | + | 0.476224i | 0.970122 | − | 0.242617i | \(-0.0780059\pi\) |
−0.695174 | + | 0.718842i | \(0.744673\pi\) | |||||||
\(972\) | 2.81198 | − | 2.81198i | 0.0901944 | − | 0.0901944i | ||||
\(973\) | 0.854516 | − | 0.854516i | 0.0273945 | − | 0.0273945i | ||||
\(974\) | 12.5270 | − | 7.23246i | 0.401391 | − | 0.231743i | ||||
\(975\) | −7.26126 | + | 11.8911i | −0.232546 | + | 0.380819i | ||||
\(976\) | 6.05164 | − | 6.05164i | 0.193708 | − | 0.193708i | ||||
\(977\) | 22.5666 | − | 13.0289i | 0.721971 | − | 0.416830i | −0.0935067 | − | 0.995619i | \(-0.529808\pi\) |
0.815478 | + | 0.578789i | \(0.196474\pi\) | |||||||
\(978\) | −17.6115 | + | 65.7270i | −0.563154 | + | 2.10172i | ||||
\(979\) | −18.7336 | − | 5.01964i | −0.598727 | − | 0.160428i | ||||
\(980\) | 17.6248 | + | 2.54137i | 0.563002 | + | 0.0811812i | ||||
\(981\) | −5.41601 | + | 1.45122i | −0.172920 | + | 0.0463338i | ||||
\(982\) | 60.3291 | − | 34.8310i | 1.92518 | − | 1.11150i | ||||
\(983\) | 16.0529 | + | 4.30135i | 0.512007 | + | 0.137192i | 0.505567 | − | 0.862788i | \(-0.331283\pi\) |
0.00643984 | + | 0.999979i | \(0.497950\pi\) | |||||||
\(984\) | 17.8677 | + | 4.78763i | 0.569601 | + | 0.152624i | ||||
\(985\) | 3.40163 | − | 7.93464i | 0.108385 | − | 0.252819i | ||||
\(986\) | −18.3531 | − | 68.4948i | −0.584483 | − | 2.18132i | ||||
\(987\) | −0.468800 | + | 1.74959i | −0.0149221 | + | 0.0556900i | ||||
\(988\) | 3.23397 | + | 3.23397i | 0.102886 | + | 0.102886i | ||||
\(989\) | −12.1331 | −0.385809 | ||||||||
\(990\) | −4.48691 | + | 5.70080i | −0.142603 | + | 0.181183i | ||||
\(991\) | 27.6853 | − | 27.6853i | 0.879454 | − | 0.879454i | −0.114024 | − | 0.993478i | \(-0.536374\pi\) |
0.993478 | + | 0.114024i | \(0.0363742\pi\) | |||||||
\(992\) | −20.2288 | + | 5.42028i | −0.642264 | + | 0.172094i | ||||
\(993\) | 62.0478 | 1.96903 | ||||||||
\(994\) | 4.98380 | − | 1.33541i | 0.158077 | − | 0.0423565i | ||||
\(995\) | 8.43092 | − | 6.30596i | 0.267278 | − | 0.199912i | ||||
\(996\) | 8.60274 | − | 14.9004i | 0.272588 | − | 0.472137i | ||||
\(997\) | 6.37104 | + | 11.0350i | 0.201773 | + | 0.349481i | 0.949100 | − | 0.314976i | \(-0.101996\pi\) |
−0.747327 | + | 0.664457i | \(0.768663\pi\) | |||||||
\(998\) | 26.4260 | − | 26.4260i | 0.836501 | − | 0.836501i | ||||
\(999\) | 25.4986 | − | 15.1726i | 0.806741 | − | 0.480040i |
(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 | 185.2.u.a.8.5 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.82.5 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.82.13 | 68 | |||
5.4 | even | 2 | 925.2.y.b.193.13 | 68 | |||
37.14 | odd | 12 | 185.2.p.a.88.5 | yes | 68 | ||
185.14 | odd | 12 | 925.2.t.b.643.13 | 68 | |||
185.88 | even | 12 | 925.2.y.b.532.13 | 68 | |||
185.162 | even | 12 | inner | 185.2.u.a.162.5 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.82.5 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.88.5 | yes | 68 | 37.14 | odd | 12 | ||
185.2.u.a.8.5 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.162.5 | yes | 68 | 185.162 | even | 12 | inner | |
925.2.t.b.82.13 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.643.13 | 68 | 185.14 | odd | 12 | |||
925.2.y.b.193.13 | 68 | 5.4 | even | 2 | |||
925.2.y.b.532.13 | 68 | 185.88 | even | 12 |