Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.20 | ||
Character | \(\chi\) | \(=\) | 168.11 |
Dual form | 168.2.v.a.107.20 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866151 | − | 1.11794i | 0.612461 | − | 0.790501i | ||||
\(3\) | −0.402456 | − | 1.68465i | −0.232358 | − | 0.972630i | ||||
\(4\) | −0.499565 | − | 1.93660i | −0.249782 | − | 0.968302i | ||||
\(5\) | 1.09212 | + | 1.89161i | 0.488411 | + | 0.845953i | 0.999911 | − | 0.0133302i | \(-0.00424327\pi\) |
−0.511500 | + | 0.859283i | \(0.670910\pi\) | |||||||
\(6\) | −2.23191 | − | 1.00924i | −0.911175 | − | 0.412019i | ||||
\(7\) | 0.451847 | − | 2.60688i | 0.170782 | − | 0.985309i | ||||
\(8\) | −2.59770 | − | 1.11891i | −0.918425 | − | 0.395594i | ||||
\(9\) | −2.67606 | + | 1.35599i | −0.892020 | + | 0.451997i | ||||
\(10\) | 3.06064 | + | 0.417497i | 0.967859 | + | 0.132024i | ||||
\(11\) | 1.45052 | + | 0.837460i | 0.437349 | + | 0.252504i | 0.702473 | − | 0.711711i | \(-0.252079\pi\) |
−0.265123 | + | 0.964215i | \(0.585413\pi\) | |||||||
\(12\) | −3.06144 | + | 1.62099i | −0.883761 | + | 0.467939i | ||||
\(13\) | 1.56085i | 0.432903i | 0.976293 | + | 0.216452i | \(0.0694483\pi\) | ||||
−0.976293 | + | 0.216452i | \(0.930552\pi\) | |||||||
\(14\) | −2.52296 | − | 2.76309i | −0.674290 | − | 0.738467i | ||||
\(15\) | 2.74716 | − | 2.60112i | 0.709313 | − | 0.671608i | ||||
\(16\) | −3.50087 | + | 1.93492i | −0.875218 | + | 0.483730i | ||||
\(17\) | 0.278795 | + | 0.160963i | 0.0676178 | + | 0.0390392i | 0.533428 | − | 0.845846i | \(-0.320904\pi\) |
−0.465810 | + | 0.884885i | \(0.654237\pi\) | |||||||
\(18\) | −0.801960 | + | 4.16616i | −0.189024 | + | 0.981973i | ||||
\(19\) | 2.87437 | + | 4.97856i | 0.659427 | + | 1.14216i | 0.980764 | + | 0.195196i | \(0.0625343\pi\) |
−0.321337 | + | 0.946965i | \(0.604132\pi\) | |||||||
\(20\) | 3.11771 | − | 3.05999i | 0.697142 | − | 0.684234i | ||||
\(21\) | −4.57352 | + | 0.287952i | −0.998024 | + | 0.0628364i | ||||
\(22\) | 2.19260 | − | 0.896227i | 0.467464 | − | 0.191076i | ||||
\(23\) | −3.26717 | − | 5.65891i | −0.681252 | − | 1.17996i | −0.974599 | − | 0.223958i | \(-0.928102\pi\) |
0.293346 | − | 0.956006i | \(-0.405231\pi\) | |||||||
\(24\) | −0.839507 | + | 4.82651i | −0.171364 | + | 0.985208i | ||||
\(25\) | 0.114544 | − | 0.198397i | 0.0229089 | − | 0.0396793i | ||||
\(26\) | 1.74494 | + | 1.35194i | 0.342210 | + | 0.265136i | ||||
\(27\) | 3.36136 | + | 3.96248i | 0.646894 | + | 0.762580i | ||||
\(28\) | −5.27423 | + | 0.427257i | −0.996735 | + | 0.0807440i | ||||
\(29\) | 7.04205 | 1.30768 | 0.653838 | − | 0.756635i | \(-0.273158\pi\) | ||||
0.653838 | + | 0.756635i | \(0.273158\pi\) | |||||||
\(30\) | −0.528438 | − | 5.32412i | −0.0964792 | − | 0.972046i | ||||
\(31\) | 7.76983 | + | 4.48591i | 1.39550 | + | 0.805694i | 0.993917 | − | 0.110128i | \(-0.0351259\pi\) |
0.401585 | + | 0.915822i | \(0.368459\pi\) | |||||||
\(32\) | −0.869166 | + | 5.58968i | −0.153648 | + | 0.988126i | ||||
\(33\) | 0.827052 | − | 2.78066i | 0.143971 | − | 0.484051i | ||||
\(34\) | 0.421425 | − | 0.172258i | 0.0722738 | − | 0.0295419i | ||||
\(35\) | 5.42467 | − | 1.99231i | 0.916937 | − | 0.336762i | ||||
\(36\) | 3.96288 | + | 4.50506i | 0.660480 | + | 0.750844i | ||||
\(37\) | −0.946173 | + | 0.546273i | −0.155550 | + | 0.0898068i | −0.575755 | − | 0.817623i | \(-0.695292\pi\) |
0.420205 | + | 0.907429i | \(0.361958\pi\) | |||||||
\(38\) | 8.05536 | + | 1.09882i | 1.30675 | + | 0.178252i | ||||
\(39\) | 2.62949 | − | 0.628175i | 0.421055 | − | 0.100588i | ||||
\(40\) | −0.720462 | − | 6.13582i | −0.113915 | − | 0.970158i | ||||
\(41\) | 3.44933i | 0.538694i | 0.963043 | + | 0.269347i | \(0.0868079\pi\) | ||||
−0.963043 | + | 0.269347i | \(0.913192\pi\) | |||||||
\(42\) | −3.63945 | + | 5.36232i | −0.561579 | + | 0.827423i | ||||
\(43\) | −11.6570 | −1.77768 | −0.888841 | − | 0.458215i | \(-0.848489\pi\) | ||||
−0.888841 | + | 0.458215i | \(0.848489\pi\) | |||||||
\(44\) | 0.897199 | − | 3.22746i | 0.135258 | − | 0.486557i | ||||
\(45\) | −5.48758 | − | 3.58115i | −0.818041 | − | 0.533846i | ||||
\(46\) | −9.15616 | − | 1.24898i | −1.35000 | − | 0.184152i | ||||
\(47\) | −2.25371 | − | 3.90354i | −0.328737 | − | 0.569390i | 0.653524 | − | 0.756906i | \(-0.273290\pi\) |
−0.982262 | + | 0.187516i | \(0.939956\pi\) | |||||||
\(48\) | 4.66860 | + | 5.11900i | 0.673854 | + | 0.738865i | ||||
\(49\) | −6.59167 | − | 2.35583i | −0.941667 | − | 0.336546i | ||||
\(50\) | −0.122582 | − | 0.299895i | −0.0173357 | − | 0.0424115i | ||||
\(51\) | 0.158962 | − | 0.534452i | 0.0222591 | − | 0.0748382i | ||||
\(52\) | 3.02276 | − | 0.779748i | 0.419181 | − | 0.108132i | ||||
\(53\) | −4.42876 | + | 7.67084i | −0.608337 | + | 1.05367i | 0.383177 | + | 0.923675i | \(0.374830\pi\) |
−0.991515 | + | 0.129996i | \(0.958504\pi\) | |||||||
\(54\) | 7.34125 | − | 0.325676i | 0.999017 | − | 0.0443189i | ||||
\(55\) | 3.65843i | 0.493303i | ||||||||
\(56\) | −4.09063 | + | 6.26632i | −0.546633 | + | 0.837372i | ||||
\(57\) | 7.23030 | − | 6.84595i | 0.957677 | − | 0.906769i | ||||
\(58\) | 6.09948 | − | 7.87257i | 0.800901 | − | 1.03372i | ||||
\(59\) | −5.37016 | − | 3.10046i | −0.699135 | − | 0.403646i | 0.107890 | − | 0.994163i | \(-0.465591\pi\) |
−0.807025 | + | 0.590517i | \(0.798924\pi\) | |||||||
\(60\) | −6.40973 | − | 4.02073i | −0.827493 | − | 0.519074i | ||||
\(61\) | −3.80578 | + | 2.19727i | −0.487280 | + | 0.281331i | −0.723445 | − | 0.690382i | \(-0.757443\pi\) |
0.236165 | + | 0.971713i | \(0.424109\pi\) | |||||||
\(62\) | 11.7448 | − | 4.80070i | 1.49159 | − | 0.609690i | ||||
\(63\) | 2.32574 | + | 7.58887i | 0.293015 | + | 0.956108i | ||||
\(64\) | 5.49608 | + | 5.81318i | 0.687010 | + | 0.726648i | ||||
\(65\) | −2.95253 | + | 1.70464i | −0.366216 | + | 0.211435i | ||||
\(66\) | −2.39225 | − | 3.33306i | −0.294465 | − | 0.410272i | ||||
\(67\) | 0.716072 | − | 1.24027i | 0.0874821 | − | 0.151523i | −0.818964 | − | 0.573845i | \(-0.805451\pi\) |
0.906446 | + | 0.422321i | \(0.138785\pi\) | |||||||
\(68\) | 0.172444 | − | 0.620328i | 0.0209120 | − | 0.0752258i | ||||
\(69\) | −8.21836 | + | 7.78149i | −0.989374 | + | 0.936781i | ||||
\(70\) | 2.47131 | − | 7.79008i | 0.295378 | − | 0.931093i | ||||
\(71\) | −6.37080 | −0.756074 | −0.378037 | − | 0.925790i | \(-0.623401\pi\) | ||||
−0.378037 | + | 0.925790i | \(0.623401\pi\) | |||||||
\(72\) | 8.46883 | − | 0.528187i | 0.998061 | − | 0.0622474i | ||||
\(73\) | −4.49012 | + | 7.77711i | −0.525528 | + | 0.910242i | 0.474030 | + | 0.880509i | \(0.342799\pi\) |
−0.999558 | + | 0.0297328i | \(0.990534\pi\) | |||||||
\(74\) | −0.208830 | + | 1.53092i | −0.0242760 | + | 0.177965i | ||||
\(75\) | −0.380327 | − | 0.113121i | −0.0439164 | − | 0.0130621i | ||||
\(76\) | 8.20557 | − | 8.05364i | 0.941243 | − | 0.923816i | ||||
\(77\) | 2.83858 | − | 3.40294i | 0.323486 | − | 0.387801i | ||||
\(78\) | 1.57527 | − | 3.48369i | 0.178364 | − | 0.394451i | ||||
\(79\) | 3.58799 | − | 2.07153i | 0.403681 | − | 0.233065i | −0.284390 | − | 0.958709i | \(-0.591791\pi\) |
0.688071 | + | 0.725643i | \(0.258458\pi\) | |||||||
\(80\) | −7.48348 | − | 4.50911i | −0.836679 | − | 0.504134i | ||||
\(81\) | 5.32258 | − | 7.25742i | 0.591398 | − | 0.806380i | ||||
\(82\) | 3.85613 | + | 2.98764i | 0.425838 | + | 0.329929i | ||||
\(83\) | − | 9.06459i | − | 0.994968i | −0.867473 | − | 0.497484i | \(-0.834257\pi\) | ||
0.867473 | − | 0.497484i | \(-0.165743\pi\) | |||||||
\(84\) | 2.84242 | + | 8.71325i | 0.310133 | + | 0.950693i | ||||
\(85\) | 0.703162i | 0.0762687i | ||||||||
\(86\) | −10.0968 | + | 13.0318i | −1.08876 | + | 1.40526i | ||||
\(87\) | −2.83411 | − | 11.8634i | −0.303849 | − | 1.27189i | ||||
\(88\) | −2.83098 | − | 3.79848i | −0.301784 | − | 0.404919i | ||||
\(89\) | −4.57586 | + | 2.64187i | −0.485040 | + | 0.280038i | −0.722515 | − | 0.691356i | \(-0.757014\pi\) |
0.237474 | + | 0.971394i | \(0.423680\pi\) | |||||||
\(90\) | −8.75657 | + | 3.03295i | −0.923024 | + | 0.319701i | ||||
\(91\) | 4.06896 | + | 0.705268i | 0.426543 | + | 0.0739322i | ||||
\(92\) | −9.32690 | + | 9.15421i | −0.972397 | + | 0.954392i | ||||
\(93\) | 4.43016 | − | 14.8948i | 0.459386 | − | 1.54452i | ||||
\(94\) | −6.31596 | − | 0.861550i | −0.651442 | − | 0.0888621i | ||||
\(95\) | −6.27833 | + | 10.8744i | −0.644143 | + | 1.11569i | ||||
\(96\) | 9.76643 | − | 0.785363i | 0.996782 | − | 0.0801558i | ||||
\(97\) | 4.23153 | 0.429647 | 0.214823 | − | 0.976653i | \(-0.431082\pi\) | ||||
0.214823 | + | 0.976653i | \(0.431082\pi\) | |||||||
\(98\) | −8.34304 | + | 5.32857i | −0.842775 | + | 0.538267i | ||||
\(99\) | −5.01728 | − | 0.274197i | −0.504255 | − | 0.0275578i | ||||
\(100\) | −0.441438 | − | 0.122715i | −0.0441438 | − | 0.0122715i | ||||
\(101\) | 2.47136 | − | 4.28052i | 0.245909 | − | 0.425927i | −0.716478 | − | 0.697610i | \(-0.754247\pi\) |
0.962387 | + | 0.271683i | \(0.0875802\pi\) | |||||||
\(102\) | −0.459798 | − | 0.640625i | −0.0455268 | − | 0.0634314i | ||||
\(103\) | −15.8817 | + | 9.16928i | −1.56487 | + | 0.903476i | −0.568114 | + | 0.822950i | \(0.692327\pi\) |
−0.996752 | + | 0.0805264i | \(0.974340\pi\) | |||||||
\(104\) | 1.74646 | − | 4.05463i | 0.171254 | − | 0.397589i | ||||
\(105\) | −5.53953 | − | 8.33683i | −0.540603 | − | 0.813591i | ||||
\(106\) | 4.73954 | + | 11.5952i | 0.460344 | + | 1.12622i | ||||
\(107\) | 3.83045 | − | 2.21151i | 0.370303 | − | 0.213795i | −0.303288 | − | 0.952899i | \(-0.598084\pi\) |
0.673591 | + | 0.739104i | \(0.264751\pi\) | |||||||
\(108\) | 5.99455 | − | 8.48914i | 0.576825 | − | 0.816867i | ||||
\(109\) | 7.04986 | + | 4.07024i | 0.675255 | + | 0.389858i | 0.798065 | − | 0.602572i | \(-0.205857\pi\) |
−0.122810 | + | 0.992430i | \(0.539191\pi\) | |||||||
\(110\) | 4.08990 | + | 3.16875i | 0.389956 | + | 0.302129i | ||||
\(111\) | 1.30107 | + | 1.37411i | 0.123492 | + | 0.130425i | ||||
\(112\) | 3.46224 | + | 10.0006i | 0.327151 | + | 0.944972i | ||||
\(113\) | − | 13.4000i | − | 1.26056i | −0.776367 | − | 0.630281i | \(-0.782940\pi\) | ||
0.776367 | − | 0.630281i | \(-0.217060\pi\) | |||||||
\(114\) | −1.39081 | − | 14.0127i | −0.130261 | − | 1.31240i | ||||
\(115\) | 7.13629 | − | 12.3604i | 0.665463 | − | 1.15262i | ||||
\(116\) | −3.51796 | − | 13.6377i | −0.326634 | − | 1.26623i | ||||
\(117\) | −2.11650 | − | 4.17694i | −0.195671 | − | 0.386158i | ||||
\(118\) | −8.11749 | + | 3.31803i | −0.747275 | + | 0.305449i | ||||
\(119\) | 0.545583 | − | 0.654056i | 0.0500136 | − | 0.0599572i | ||||
\(120\) | −10.0467 | + | 3.68312i | −0.917136 | + | 0.336221i | ||||
\(121\) | −4.09732 | − | 7.09677i | −0.372484 | − | 0.645161i | ||||
\(122\) | −0.839974 | + | 6.15779i | −0.0760476 | + | 0.557500i | ||||
\(123\) | 5.81089 | − | 1.38820i | 0.523951 | − | 0.125170i | ||||
\(124\) | 4.80591 | − | 17.2881i | 0.431583 | − | 1.55252i | ||||
\(125\) | 11.4216 | 1.02158 | ||||||||
\(126\) | 10.4983 | + | 3.97308i | 0.935264 | + | 0.353950i | ||||
\(127\) | − | 12.5356i | − | 1.11236i | −0.831063 | − | 0.556178i | \(-0.812267\pi\) | ||
0.831063 | − | 0.556178i | \(-0.187733\pi\) | |||||||
\(128\) | 11.2592 | − | 1.10918i | 0.995183 | − | 0.0980383i | ||||
\(129\) | 4.69144 | + | 19.6380i | 0.413059 | + | 1.72903i | ||||
\(130\) | −0.651652 | + | 4.77721i | −0.0571537 | + | 0.418989i | ||||
\(131\) | −14.8145 | + | 8.55318i | −1.29435 | + | 0.747295i | −0.979423 | − | 0.201820i | \(-0.935315\pi\) |
−0.314930 | + | 0.949115i | \(0.601981\pi\) | |||||||
\(132\) | −5.79820 | − | 0.212553i | −0.504669 | − | 0.0185003i | ||||
\(133\) | 14.2773 | − | 5.24361i | 1.23800 | − | 0.454678i | ||||
\(134\) | −0.766320 | − | 1.87479i | −0.0662000 | − | 0.161957i | ||||
\(135\) | −3.82446 | + | 10.6859i | −0.329157 | + | 0.919694i | ||||
\(136\) | −0.544124 | − | 0.730079i | −0.0466582 | − | 0.0626038i | ||||
\(137\) | 17.9399 | + | 10.3576i | 1.53271 | + | 0.884909i | 0.999236 | + | 0.0390917i | \(0.0124464\pi\) |
0.533472 | + | 0.845818i | \(0.320887\pi\) | |||||||
\(138\) | 1.58087 | + | 15.9275i | 0.134572 | + | 1.35584i | ||||
\(139\) | 1.27255 | 0.107936 | 0.0539682 | − | 0.998543i | \(-0.482813\pi\) | ||||
0.0539682 | + | 0.998543i | \(0.482813\pi\) | |||||||
\(140\) | −6.56829 | − | 9.51015i | −0.555122 | − | 0.803755i | ||||
\(141\) | −5.66906 | + | 5.36770i | −0.477421 | + | 0.452042i | ||||
\(142\) | −5.51807 | + | 7.12215i | −0.463066 | + | 0.597677i | ||||
\(143\) | −1.30715 | + | 2.26406i | −0.109310 | + | 0.189330i | ||||
\(144\) | 6.74480 | − | 9.92510i | 0.562067 | − | 0.827092i | ||||
\(145\) | 7.69077 | + | 13.3208i | 0.638684 | + | 1.10623i | ||||
\(146\) | 4.80520 | + | 11.7558i | 0.397681 | + | 0.972918i | ||||
\(147\) | −1.31587 | + | 12.0527i | −0.108532 | + | 0.994093i | ||||
\(148\) | 1.53059 | + | 1.55946i | 0.125814 | + | 0.128187i | ||||
\(149\) | 2.47136 | + | 4.28052i | 0.202461 | + | 0.350674i | 0.949321 | − | 0.314308i | \(-0.101773\pi\) |
−0.746859 | + | 0.664982i | \(0.768439\pi\) | |||||||
\(150\) | −0.455882 | + | 0.327202i | −0.0372226 | + | 0.0267159i | ||||
\(151\) | −5.48605 | − | 3.16737i | −0.446448 | − | 0.257757i | 0.259881 | − | 0.965641i | \(-0.416317\pi\) |
−0.706329 | + | 0.707884i | \(0.749650\pi\) | |||||||
\(152\) | −1.89620 | − | 16.1490i | −0.153802 | − | 1.30985i | ||||
\(153\) | −0.964337 | − | 0.0527015i | −0.0779620 | − | 0.00426066i | ||||
\(154\) | −1.34564 | − | 6.12081i | −0.108435 | − | 0.493229i | ||||
\(155\) | 19.5966i | 1.57404i | ||||||||
\(156\) | −2.53012 | − | 4.77846i | −0.202572 | − | 0.382583i | ||||
\(157\) | −2.09256 | − | 1.20814i | −0.167004 | − | 0.0964199i | 0.414168 | − | 0.910200i | \(-0.364072\pi\) |
−0.581172 | + | 0.813780i | \(0.697406\pi\) | |||||||
\(158\) | 0.791906 | − | 5.80541i | 0.0630007 | − | 0.461853i | ||||
\(159\) | 14.7050 | + | 4.37372i | 1.16618 | + | 0.346858i | ||||
\(160\) | −11.5227 | + | 4.46049i | −0.910952 | + | 0.352632i | ||||
\(161\) | −16.2284 | + | 5.96017i | −1.27897 | + | 0.469727i | ||||
\(162\) | −3.50318 | − | 12.2363i | −0.275236 | − | 0.961377i | ||||
\(163\) | 4.46077 | + | 7.72628i | 0.349395 | + | 0.605169i | 0.986142 | − | 0.165903i | \(-0.0530539\pi\) |
−0.636747 | + | 0.771072i | \(0.719721\pi\) | |||||||
\(164\) | 6.67998 | − | 1.72316i | 0.521619 | − | 0.134556i | ||||
\(165\) | 6.16316 | − | 1.47236i | 0.479801 | − | 0.114623i | ||||
\(166\) | −10.1336 | − | 7.85130i | −0.786523 | − | 0.609379i | ||||
\(167\) | 7.01131 | 0.542551 | 0.271276 | − | 0.962502i | \(-0.412555\pi\) | ||||
0.271276 | + | 0.962502i | \(0.412555\pi\) | |||||||
\(168\) | 12.2028 | + | 4.36934i | 0.941468 | + | 0.337102i | ||||
\(169\) | 10.5637 | 0.812595 | ||||||||
\(170\) | 0.786091 | + | 0.609045i | 0.0602904 | + | 0.0467116i | ||||
\(171\) | −14.4429 | − | 9.42530i | −1.10447 | − | 0.720771i | ||||
\(172\) | 5.82345 | + | 22.5751i | 0.444034 | + | 1.72133i | ||||
\(173\) | −7.11660 | − | 12.3263i | −0.541065 | − | 0.937152i | −0.998843 | − | 0.0480854i | \(-0.984688\pi\) |
0.457778 | − | 0.889066i | \(-0.348645\pi\) | |||||||
\(174\) | −15.7173 | − | 7.10710i | −1.19152 | − | 0.538788i | ||||
\(175\) | −0.465440 | − | 0.388249i | −0.0351840 | − | 0.0293488i | ||||
\(176\) | −6.69851 | − | 0.125195i | −0.504919 | − | 0.00943693i | ||||
\(177\) | −3.06193 | + | 10.2946i | −0.230149 | + | 0.773790i | ||||
\(178\) | −1.00994 | + | 7.40378i | −0.0756981 | + | 0.554937i | ||||
\(179\) | −1.07613 | − | 0.621304i | −0.0804338 | − | 0.0464384i | 0.459244 | − | 0.888310i | \(-0.348120\pi\) |
−0.539677 | + | 0.841872i | \(0.681454\pi\) | |||||||
\(180\) | −4.19387 | + | 12.4163i | −0.312592 | + | 0.925456i | ||||
\(181\) | − | 20.9487i | − | 1.55710i | −0.627580 | − | 0.778552i | \(-0.715954\pi\) | ||
0.627580 | − | 0.778552i | \(-0.284046\pi\) | |||||||
\(182\) | 4.31278 | − | 3.93797i | 0.319685 | − | 0.291902i | ||||
\(183\) | 5.23327 | + | 5.52709i | 0.386855 | + | 0.408574i | ||||
\(184\) | 2.15532 | + | 18.3558i | 0.158892 | + | 1.35321i | ||||
\(185\) | −2.06667 | − | 1.19319i | −0.151945 | − | 0.0877253i | ||||
\(186\) | −12.8142 | − | 17.8538i | −0.939586 | − | 1.30910i | ||||
\(187\) | 0.269600 | + | 0.466960i | 0.0197151 | + | 0.0341475i | ||||
\(188\) | −6.43374 | + | 6.31461i | −0.469228 | + | 0.460541i | ||||
\(189\) | 11.8485 | − | 6.97223i | 0.861855 | − | 0.507155i | ||||
\(190\) | 6.71889 | + | 16.4376i | 0.487440 | + | 1.19251i | ||||
\(191\) | 12.2119 | + | 21.1516i | 0.883621 | + | 1.53048i | 0.847287 | + | 0.531136i | \(0.178235\pi\) |
0.0363339 | + | 0.999340i | \(0.488432\pi\) | |||||||
\(192\) | 7.58122 | − | 11.5985i | 0.547127 | − | 0.837049i | ||||
\(193\) | 0.00662606 | − | 0.0114767i | 0.000476954 | − | 0.000826109i | −0.865787 | − | 0.500413i | \(-0.833182\pi\) |
0.866264 | + | 0.499587i | \(0.166515\pi\) | |||||||
\(194\) | 3.66515 | − | 4.73058i | 0.263142 | − | 0.339636i | ||||
\(195\) | 4.05998 | + | 4.28792i | 0.290741 | + | 0.307064i | ||||
\(196\) | −1.26934 | + | 13.9423i | −0.0906668 | + | 0.995881i | ||||
\(197\) | 6.48422 | 0.461981 | 0.230991 | − | 0.972956i | \(-0.425803\pi\) | ||||
0.230991 | + | 0.972956i | \(0.425803\pi\) | |||||||
\(198\) | −4.65225 | + | 5.37150i | −0.330621 | + | 0.381736i | ||||
\(199\) | −4.47013 | − | 2.58083i | −0.316879 | − | 0.182950i | 0.333121 | − | 0.942884i | \(-0.391898\pi\) |
−0.650001 | + | 0.759934i | \(0.725231\pi\) | |||||||
\(200\) | −0.519540 | + | 0.387210i | −0.0367370 | + | 0.0273799i | ||||
\(201\) | −2.37761 | − | 0.707172i | −0.167703 | − | 0.0498801i | ||||
\(202\) | −2.64478 | − | 6.47039i | −0.186086 | − | 0.455255i | ||||
\(203\) | 3.18193 | − | 18.3578i | 0.223328 | − | 1.28846i | ||||
\(204\) | −1.11443 | − | 0.0408533i | −0.0780259 | − | 0.00286031i | ||||
\(205\) | −6.52478 | + | 3.76708i | −0.455710 | + | 0.263104i | ||||
\(206\) | −3.50524 | + | 25.6967i | −0.244222 | + | 1.79037i | ||||
\(207\) | 16.4166 | + | 10.7133i | 1.14103 | + | 0.744627i | ||||
\(208\) | −3.02013 | − | 5.46435i | −0.209408 | − | 0.378884i | ||||
\(209\) | 9.62870i | 0.666031i | ||||||||
\(210\) | −14.1181 | − | 1.02811i | −0.974243 | − | 0.0709465i | ||||
\(211\) | −16.8357 | −1.15902 | −0.579509 | − | 0.814966i | \(-0.696756\pi\) | ||||
−0.579509 | + | 0.814966i | \(0.696756\pi\) | |||||||
\(212\) | 17.0678 | + | 4.74468i | 1.17222 | + | 0.325866i | ||||
\(213\) | 2.56396 | + | 10.7325i | 0.175680 | + | 0.735381i | ||||
\(214\) | 0.845418 | − | 6.19770i | 0.0577916 | − | 0.423666i | ||||
\(215\) | −12.7309 | − | 22.0506i | −0.868240 | − | 1.50384i | ||||
\(216\) | −4.29813 | − | 14.0544i | −0.292451 | − | 0.956280i | ||||
\(217\) | 15.2050 | − | 18.2281i | 1.03218 | − | 1.23740i | ||||
\(218\) | 10.6565 | − | 4.35586i | 0.721751 | − | 0.295016i | ||||
\(219\) | 14.9087 | + | 4.43431i | 1.00744 | + | 0.299643i | ||||
\(220\) | 7.08493 | − | 1.82762i | 0.477666 | − | 0.123218i | ||||
\(221\) | −0.251239 | + | 0.435159i | −0.0169002 | + | 0.0292720i | ||||
\(222\) | 2.66310 | − | 0.264322i | 0.178735 | − | 0.0177401i | ||||
\(223\) | 1.80170i | 0.120651i | 0.998179 | + | 0.0603254i | \(0.0192138\pi\) | ||||
−0.998179 | + | 0.0603254i | \(0.980786\pi\) | |||||||
\(224\) | 14.1789 | + | 4.79150i | 0.947368 | + | 0.320145i | ||||
\(225\) | −0.0375035 | + | 0.686242i | −0.00250023 | + | 0.0457495i | ||||
\(226\) | −14.9803 | − | 11.6064i | −0.996475 | − | 0.772045i | ||||
\(227\) | 10.0476 | + | 5.80096i | 0.666879 | + | 0.385023i | 0.794893 | − | 0.606749i | \(-0.207527\pi\) |
−0.128014 | + | 0.991772i | \(0.540860\pi\) | |||||||
\(228\) | −16.8699 | − | 10.5822i | −1.11724 | − | 0.700826i | ||||
\(229\) | −8.50697 | + | 4.91150i | −0.562156 | + | 0.324561i | −0.754010 | − | 0.656862i | \(-0.771883\pi\) |
0.191854 | + | 0.981423i | \(0.438550\pi\) | |||||||
\(230\) | −7.63706 | − | 18.6839i | −0.503573 | − | 1.23198i | ||||
\(231\) | −6.87515 | − | 3.41246i | −0.452352 | − | 0.224523i | ||||
\(232\) | −18.2931 | − | 7.87942i | −1.20100 | − | 0.517309i | ||||
\(233\) | 6.94161 | − | 4.00774i | 0.454760 | − | 0.262556i | −0.255079 | − | 0.966920i | \(-0.582101\pi\) |
0.709838 | + | 0.704365i | \(0.248768\pi\) | |||||||
\(234\) | −6.50276 | − | 1.25174i | −0.425099 | − | 0.0818290i | ||||
\(235\) | 4.92265 | − | 8.52627i | 0.321118 | − | 0.556193i | ||||
\(236\) | −3.32163 | + | 11.9488i | −0.216219 | + | 0.777797i | ||||
\(237\) | −4.93380 | − | 5.21080i | −0.320485 | − | 0.338478i | ||||
\(238\) | −0.258636 | − | 1.17644i | −0.0167649 | − | 0.0762572i | ||||
\(239\) | −6.02441 | −0.389686 | −0.194843 | − | 0.980834i | \(-0.562420\pi\) | ||||
−0.194843 | + | 0.980834i | \(0.562420\pi\) | |||||||
\(240\) | −4.58448 | + | 14.4217i | −0.295927 | + | 0.930919i | ||||
\(241\) | 5.11917 | − | 8.86666i | 0.329755 | − | 0.571152i | −0.652708 | − | 0.757609i | \(-0.726367\pi\) |
0.982463 | + | 0.186457i | \(0.0597006\pi\) | |||||||
\(242\) | −11.4826 | − | 1.56633i | −0.738132 | − | 0.100687i | ||||
\(243\) | −14.3683 | − | 6.04587i | −0.921726 | − | 0.387843i | ||||
\(244\) | 6.15647 | + | 6.27261i | 0.394128 | + | 0.401563i | ||||
\(245\) | −2.74260 | − | 15.0417i | −0.175218 | − | 0.960979i | ||||
\(246\) | 3.48119 | − | 7.69860i | 0.221953 | − | 0.490845i | ||||
\(247\) | −7.77081 | + | 4.48648i | −0.494445 | + | 0.285468i | ||||
\(248\) | −15.1644 | − | 20.3468i | −0.962937 | − | 1.29202i | ||||
\(249\) | −15.2706 | + | 3.64810i | −0.967736 | + | 0.231189i | ||||
\(250\) | 9.89282 | − | 12.7686i | 0.625677 | − | 0.807558i | ||||
\(251\) | − | 9.97684i | − | 0.629733i | −0.949136 | − | 0.314866i | \(-0.898040\pi\) | ||
0.949136 | − | 0.314866i | \(-0.101960\pi\) | |||||||
\(252\) | 13.5348 | − | 8.29516i | 0.852611 | − | 0.522546i | ||||
\(253\) | − | 10.9445i | − | 0.688075i | ||||||
\(254\) | −14.0140 | − | 10.8577i | −0.879319 | − | 0.681275i | ||||
\(255\) | 1.18458 | − | 0.282992i | 0.0741812 | − | 0.0177216i | ||||
\(256\) | 8.51218 | − | 13.5478i | 0.532011 | − | 0.846737i | ||||
\(257\) | 17.1555 | − | 9.90475i | 1.07013 | − | 0.617841i | 0.141915 | − | 0.989879i | \(-0.454674\pi\) |
0.928218 | + | 0.372038i | \(0.121341\pi\) | |||||||
\(258\) | 26.0175 | + | 11.7647i | 1.61978 | + | 0.732439i | ||||
\(259\) | 0.996544 | + | 2.71339i | 0.0619222 | + | 0.168602i | ||||
\(260\) | 4.77619 | + | 4.86629i | 0.296207 | + | 0.301795i | ||||
\(261\) | −18.8449 | + | 9.54895i | −1.16647 | + | 0.591065i | ||||
\(262\) | −3.26972 | + | 23.9701i | −0.202004 | + | 1.48088i | ||||
\(263\) | 3.41780 | − | 5.91981i | 0.210751 | − | 0.365031i | −0.741199 | − | 0.671285i | \(-0.765742\pi\) |
0.951950 | + | 0.306254i | \(0.0990758\pi\) | |||||||
\(264\) | −5.25974 | + | 6.29792i | −0.323715 | + | 0.387610i | ||||
\(265\) | −19.3470 | −1.18847 | ||||||||
\(266\) | 6.50428 | − | 20.5029i | 0.398803 | − | 1.25711i | ||||
\(267\) | 6.29220 | + | 6.64546i | 0.385077 | + | 0.406696i | ||||
\(268\) | −2.75964 | − | 0.767151i | −0.168572 | − | 0.0468612i | ||||
\(269\) | −12.0822 | + | 20.9270i | −0.736665 | + | 1.27594i | 0.217324 | + | 0.976099i | \(0.430267\pi\) |
−0.953989 | + | 0.299842i | \(0.903066\pi\) | |||||||
\(270\) | 8.63358 | + | 13.5311i | 0.525423 | + | 0.823476i | ||||
\(271\) | 15.2835 | − | 8.82392i | 0.928405 | − | 0.536015i | 0.0420983 | − | 0.999113i | \(-0.486596\pi\) |
0.886307 | + | 0.463099i | \(0.153262\pi\) | |||||||
\(272\) | −1.28748 | − | 0.0240629i | −0.0780647 | − | 0.00145903i | ||||
\(273\) | −0.449452 | − | 7.13860i | −0.0272021 | − | 0.432048i | ||||
\(274\) | 27.1178 | − | 11.0844i | 1.63825 | − | 0.669634i | ||||
\(275\) | 0.332299 | − | 0.191853i | 0.0200384 | − | 0.0115692i | ||||
\(276\) | 19.1753 | + | 12.0284i | 1.15421 | + | 0.724022i | ||||
\(277\) | −12.9250 | − | 7.46224i | −0.776587 | − | 0.448363i | 0.0586324 | − | 0.998280i | \(-0.481326\pi\) |
−0.835219 | + | 0.549917i | \(0.814659\pi\) | |||||||
\(278\) | 1.10222 | − | 1.42263i | 0.0661068 | − | 0.0853237i | ||||
\(279\) | −26.8754 | − | 1.46875i | −1.60899 | − | 0.0879320i | ||||
\(280\) | −16.3209 | − | 0.894293i | −0.975359 | − | 0.0534442i | ||||
\(281\) | − | 13.8890i | − | 0.828547i | −0.910152 | − | 0.414273i | \(-0.864036\pi\) | ||
0.910152 | − | 0.414273i | \(-0.135964\pi\) | |||||||
\(282\) | 1.09049 | + | 10.9869i | 0.0649377 | + | 0.654260i | ||||
\(283\) | 2.88865 | − | 5.00329i | 0.171712 | − | 0.297415i | −0.767306 | − | 0.641281i | \(-0.778403\pi\) |
0.939019 | + | 0.343866i | \(0.111737\pi\) | |||||||
\(284\) | 3.18263 | + | 12.3377i | 0.188854 | + | 0.732108i | ||||
\(285\) | 20.8462 | + | 6.20030i | 1.23482 | + | 0.367274i | ||||
\(286\) | 1.39888 | + | 3.42233i | 0.0827175 | + | 0.202367i | ||||
\(287\) | 8.99199 | + | 1.55857i | 0.530780 | + | 0.0919994i | ||||
\(288\) | −5.25362 | − | 16.1369i | −0.309572 | − | 0.950876i | ||||
\(289\) | −8.44818 | − | 14.6327i | −0.496952 | − | 0.860746i | ||||
\(290\) | 21.5532 | + | 2.94003i | 1.26565 | + | 0.172645i | ||||
\(291\) | −1.70300 | − | 7.12863i | −0.0998319 | − | 0.417888i | ||||
\(292\) | 17.3043 | + | 4.81041i | 1.01266 | + | 0.281508i | ||||
\(293\) | −15.6381 | −0.913587 | −0.456794 | − | 0.889573i | \(-0.651002\pi\) | ||||
−0.456794 | + | 0.889573i | \(0.651002\pi\) | |||||||
\(294\) | 12.3345 | + | 11.9106i | 0.719360 | + | 0.694638i | ||||
\(295\) | − | 13.5443i | − | 0.788581i | ||||||
\(296\) | 3.06910 | − | 0.360371i | 0.178388 | − | 0.0209461i | ||||
\(297\) | 1.55731 | + | 8.56268i | 0.0903641 | + | 0.496857i | ||||
\(298\) | 6.92591 | + | 0.944753i | 0.401207 | + | 0.0547281i | ||||
\(299\) | 8.83273 | − | 5.09958i | 0.510810 | − | 0.294916i | ||||
\(300\) | −0.0290721 | + | 0.793054i | −0.00167848 | + | 0.0457870i | ||||
\(301\) | −5.26720 | + | 30.3885i | −0.303597 | + | 1.75157i | ||||
\(302\) | −8.29267 | + | 3.38963i | −0.477190 | + | 0.195052i | ||||
\(303\) | −8.20576 | − | 2.44064i | −0.471409 | − | 0.140211i | ||||
\(304\) | −19.6959 | − | 11.8676i | −1.12964 | − | 0.680655i | ||||
\(305\) | −8.31274 | − | 4.79936i | −0.475986 | − | 0.274811i | ||||
\(306\) | −0.894178 | + | 1.03242i | −0.0511168 | + | 0.0590195i | ||||
\(307\) | 7.19887 | 0.410861 | 0.205430 | − | 0.978672i | \(-0.434141\pi\) | ||||
0.205430 | + | 0.978672i | \(0.434141\pi\) | |||||||
\(308\) | −8.00820 | − | 3.79721i | −0.456310 | − | 0.216366i | ||||
\(309\) | 21.8387 | + | 23.0647i | 1.24236 | + | 1.31211i | ||||
\(310\) | 21.9078 | + | 16.9737i | 1.24428 | + | 0.964039i | ||||
\(311\) | 4.35089 | − | 7.53597i | 0.246717 | − | 0.427326i | −0.715896 | − | 0.698207i | \(-0.753982\pi\) |
0.962613 | + | 0.270881i | \(0.0873150\pi\) | |||||||
\(312\) | −7.53348 | − | 1.31035i | −0.426500 | − | 0.0741839i | ||||
\(313\) | 9.57541 | + | 16.5851i | 0.541234 | + | 0.937445i | 0.998834 | + | 0.0482863i | \(0.0153760\pi\) |
−0.457600 | + | 0.889158i | \(0.651291\pi\) | |||||||
\(314\) | −3.16309 | + | 1.29292i | −0.178504 | + | 0.0729634i | ||||
\(315\) | −11.8152 | + | 12.6873i | −0.665710 | + | 0.714851i | ||||
\(316\) | −5.80417 | − | 5.91366i | −0.326510 | − | 0.332669i | ||||
\(317\) | 1.83178 | + | 3.17274i | 0.102883 | + | 0.178199i | 0.912871 | − | 0.408247i | \(-0.133860\pi\) |
−0.809988 | + | 0.586446i | \(0.800527\pi\) | |||||||
\(318\) | 17.6263 | − | 12.6510i | 0.988434 | − | 0.709432i | ||||
\(319\) | 10.2147 | + | 5.89744i | 0.571911 | + | 0.330193i | ||||
\(320\) | −4.99388 | + | 16.7451i | −0.279166 | + | 0.936081i | ||||
\(321\) | −5.26720 | − | 5.56291i | −0.293986 | − | 0.310491i | ||||
\(322\) | −7.39313 | + | 23.3047i | −0.412003 | + | 1.29872i | ||||
\(323\) | 1.85067i | 0.102974i | ||||||||
\(324\) | −16.7137 | − | 6.68218i | −0.928540 | − | 0.371232i | ||||
\(325\) | 0.309668 | + | 0.178787i | 0.0171773 | + | 0.00991732i | ||||
\(326\) | 12.5012 | + | 1.70527i | 0.692377 | + | 0.0944461i | ||||
\(327\) | 4.01965 | − | 13.5146i | 0.222287 | − | 0.747360i | ||||
\(328\) | 3.85949 | − | 8.96031i | 0.213104 | − | 0.494751i | ||||
\(329\) | −11.1944 | + | 4.11135i | −0.617167 | + | 0.226666i | ||||
\(330\) | 3.69223 | − | 8.16531i | 0.203250 | − | 0.449485i | ||||
\(331\) | 5.41365 | + | 9.37672i | 0.297561 | + | 0.515391i | 0.975577 | − | 0.219656i | \(-0.0704934\pi\) |
−0.678016 | + | 0.735047i | \(0.737160\pi\) | |||||||
\(332\) | −17.5545 | + | 4.52835i | −0.963430 | + | 0.248525i | ||||
\(333\) | 1.79127 | − | 2.74486i | 0.0981612 | − | 0.150417i | ||||
\(334\) | 6.07285 | − | 7.83820i | 0.332292 | − | 0.428887i | ||||
\(335\) | 3.12815 | 0.170909 | ||||||||
\(336\) | 15.4541 | − | 9.85747i | 0.843092 | − | 0.537769i | ||||
\(337\) | −20.0426 | −1.09179 | −0.545894 | − | 0.837854i | \(-0.683810\pi\) | ||||
−0.545894 | + | 0.837854i | \(0.683810\pi\) | |||||||
\(338\) | 9.14979 | − | 11.8096i | 0.497683 | − | 0.642357i | ||||
\(339\) | −22.5742 | + | 5.39289i | −1.22606 | + | 0.292901i | ||||
\(340\) | 1.36175 | − | 0.351275i | 0.0738511 | − | 0.0190506i | ||||
\(341\) | 7.51355 | + | 13.0139i | 0.406882 | + | 0.704740i | ||||
\(342\) | −23.0466 | + | 7.98249i | −1.24622 | + | 0.431644i | ||||
\(343\) | −9.11979 | + | 16.1192i | −0.492422 | + | 0.870357i | ||||
\(344\) | 30.2815 | + | 13.0432i | 1.63267 | + | 0.703241i | ||||
\(345\) | −23.6950 | − | 7.04760i | −1.27569 | − | 0.379430i | ||||
\(346\) | −19.9441 | − | 2.72054i | −1.07220 | − | 0.146257i | ||||
\(347\) | −5.06136 | − | 2.92218i | −0.271708 | − | 0.156871i | 0.357955 | − | 0.933739i | \(-0.383474\pi\) |
−0.629664 | + | 0.776868i | \(0.716807\pi\) | |||||||
\(348\) | −21.5588 | + | 11.4151i | −1.15567 | + | 0.611912i | ||||
\(349\) | 18.6166i | 0.996526i | 0.867026 | + | 0.498263i | \(0.166029\pi\) | ||||
−0.867026 | + | 0.498263i | \(0.833971\pi\) | |||||||
\(350\) | −0.837179 | + | 0.184051i | −0.0447491 | + | 0.00983792i | ||||
\(351\) | −6.18486 | + | 5.24659i | −0.330123 | + | 0.280042i | ||||
\(352\) | −5.94188 | + | 7.38008i | −0.316704 | + | 0.393359i | ||||
\(353\) | 5.78219 | + | 3.33835i | 0.307755 | + | 0.177682i | 0.645921 | − | 0.763404i | \(-0.276473\pi\) |
−0.338167 | + | 0.941086i | \(0.609807\pi\) | |||||||
\(354\) | 8.85663 | + | 12.3397i | 0.470725 | + | 0.655849i | ||||
\(355\) | −6.95768 | − | 12.0511i | −0.369275 | − | 0.639603i | ||||
\(356\) | 7.40220 | + | 7.54184i | 0.392316 | + | 0.399717i | ||||
\(357\) | −1.32143 | − | 0.655886i | −0.0699373 | − | 0.0347132i | ||||
\(358\) | −1.62667 | + | 0.664902i | −0.0859722 | + | 0.0351412i | ||||
\(359\) | −12.1282 | − | 21.0067i | −0.640102 | − | 1.10869i | −0.985410 | − | 0.170200i | \(-0.945559\pi\) |
0.345307 | − | 0.938490i | \(-0.387775\pi\) | |||||||
\(360\) | 10.2481 | + | 15.4429i | 0.540122 | + | 0.813910i | ||||
\(361\) | −7.02406 | + | 12.1660i | −0.369687 | + | 0.640317i | ||||
\(362\) | −23.4193 | − | 18.1447i | −1.23089 | − | 0.953666i | ||||
\(363\) | −10.3065 | + | 9.75866i | −0.540953 | + | 0.512197i | ||||
\(364\) | −0.666886 | − | 8.23230i | −0.0349543 | − | 0.431490i | ||||
\(365\) | −19.6150 | −1.02670 | ||||||||
\(366\) | 10.7117 | − | 1.06318i | 0.559911 | − | 0.0555733i | ||||
\(367\) | 6.54864 | + | 3.78086i | 0.341836 | + | 0.197359i | 0.661084 | − | 0.750312i | \(-0.270097\pi\) |
−0.319248 | + | 0.947671i | \(0.603430\pi\) | |||||||
\(368\) | 22.3875 | + | 13.4894i | 1.16703 | + | 0.703183i | ||||
\(369\) | −4.67725 | − | 9.23060i | −0.243488 | − | 0.480526i | ||||
\(370\) | −3.12396 | + | 1.27692i | −0.162407 | + | 0.0663840i | ||||
\(371\) | 17.9958 | + | 15.0113i | 0.934298 | + | 0.779348i | ||||
\(372\) | −31.0585 | − | 1.13855i | −1.61031 | − | 0.0590313i | ||||
\(373\) | 16.9620 | − | 9.79302i | 0.878260 | − | 0.507063i | 0.00817543 | − | 0.999967i | \(-0.497398\pi\) |
0.870084 | + | 0.492903i | \(0.164064\pi\) | |||||||
\(374\) | 0.755546 | + | 0.103063i | 0.0390684 | + | 0.00532925i | ||||
\(375\) | −4.59669 | − | 19.2413i | −0.237372 | − | 0.993618i | ||||
\(376\) | 1.48675 | + | 12.6619i | 0.0766733 | + | 0.652989i | ||||
\(377\) | 10.9916i | 0.566097i | ||||||||
\(378\) | 2.46812 | − | 19.2849i | 0.126947 | − | 0.991910i | ||||
\(379\) | 4.99759 | 0.256709 | 0.128354 | − | 0.991728i | \(-0.459031\pi\) | ||||
0.128354 | + | 0.991728i | \(0.459031\pi\) | |||||||
\(380\) | 24.1958 | + | 6.72618i | 1.24122 | + | 0.345046i | ||||
\(381\) | −21.1181 | + | 5.04503i | −1.08191 | + | 0.258465i | ||||
\(382\) | 34.2235 | + | 4.66837i | 1.75103 | + | 0.238855i | ||||
\(383\) | 15.1532 | + | 26.2461i | 0.774292 | + | 1.34111i | 0.935192 | + | 0.354142i | \(0.115227\pi\) |
−0.160900 | + | 0.986971i | \(0.551440\pi\) | |||||||
\(384\) | −6.39990 | − | 18.5214i | −0.326594 | − | 0.945165i | ||||
\(385\) | 9.53710 | + | 1.65305i | 0.486056 | + | 0.0842474i | ||||
\(386\) | −0.00709102 | − | 0.0173480i | −0.000360924 | − | 0.000882992i | ||||
\(387\) | 31.1949 | − | 15.8068i | 1.58573 | − | 0.803507i | ||||
\(388\) | −2.11392 | − | 8.19480i | −0.107318 | − | 0.416028i | ||||
\(389\) | 2.13059 | − | 3.69030i | 0.108025 | − | 0.187106i | −0.806945 | − | 0.590627i | \(-0.798881\pi\) |
0.914970 | + | 0.403521i | \(0.132214\pi\) | |||||||
\(390\) | 8.31017 | − | 0.824815i | 0.420802 | − | 0.0417661i | ||||
\(391\) | − | 2.10357i | − | 0.106382i | ||||||
\(392\) | 14.4872 | + | 13.4952i | 0.731715 | + | 0.681611i | ||||
\(393\) | 20.3713 | + | 21.5150i | 1.02760 | + | 1.08529i | ||||
\(394\) | 5.61631 | − | 7.24894i | 0.282946 | − | 0.365196i | ||||
\(395\) | 7.83704 | + | 4.52472i | 0.394324 | + | 0.227663i | ||||
\(396\) | 1.97544 | + | 9.85346i | 0.0992698 | + | 0.495155i | ||||
\(397\) | −17.1398 | + | 9.89568i | −0.860223 | + | 0.496650i | −0.864087 | − | 0.503343i | \(-0.832103\pi\) |
0.00386406 | + | 0.999993i | \(0.498770\pi\) | |||||||
\(398\) | −6.75702 | + | 2.76194i | −0.338699 | + | 0.138443i | ||||
\(399\) | −14.5796 | − | 21.9419i | −0.729893 | − | 1.09847i | ||||
\(400\) | −0.0171236 | + | 0.916195i | −0.000856182 | + | 0.0458097i | ||||
\(401\) | 1.98773 | − | 1.14762i | 0.0992627 | − | 0.0573094i | −0.449547 | − | 0.893257i | \(-0.648415\pi\) |
0.548810 | + | 0.835947i | \(0.315081\pi\) | |||||||
\(402\) | −2.84994 | + | 2.04550i | −0.142142 | + | 0.102020i | ||||
\(403\) | −7.00186 | + | 12.1276i | −0.348787 | + | 0.604118i | ||||
\(404\) | −9.52427 | − | 2.64765i | −0.473850 | − | 0.131725i | ||||
\(405\) | 19.5411 | + | 2.14226i | 0.971005 | + | 0.106450i | ||||
\(406\) | −17.7668 | − | 19.4578i | −0.881752 | − | 0.965675i | ||||
\(407\) | −1.82993 | −0.0907062 | ||||||||
\(408\) | −1.01094 | + | 1.21048i | −0.0500489 | + | 0.0599277i | ||||
\(409\) | −0.750621 | + | 1.30011i | −0.0371158 | + | 0.0642865i | −0.883987 | − | 0.467512i | \(-0.845150\pi\) |
0.846871 | + | 0.531799i | \(0.178484\pi\) | |||||||
\(410\) | −1.44008 | + | 10.5571i | −0.0711207 | + | 0.521380i | ||||
\(411\) | 10.2289 | − | 34.3908i | 0.504553 | − | 1.69637i | ||||
\(412\) | 25.6912 | + | 26.1758i | 1.26571 | + | 1.28959i | ||||
\(413\) | −10.5090 | + | 12.5984i | −0.517116 | + | 0.619928i | ||||
\(414\) | 26.1960 | − | 9.07333i | 1.28746 | − | 0.445930i | ||||
\(415\) | 17.1467 | − | 9.89963i | 0.841696 | − | 0.485954i | ||||
\(416\) | −8.72468 | − | 1.35664i | −0.427763 | − | 0.0665149i | ||||
\(417\) | −0.512145 | − | 2.14380i | −0.0250799 | − | 0.104982i | ||||
\(418\) | 10.7643 | + | 8.33991i | 0.526498 | + | 0.407918i | ||||
\(419\) | − | 8.44514i | − | 0.412572i | −0.978492 | − | 0.206286i | \(-0.933862\pi\) | ||
0.978492 | − | 0.206286i | \(-0.0661378\pi\) | |||||||
\(420\) | −13.3778 | + | 14.8927i | −0.652769 | + | 0.726687i | ||||
\(421\) | − | 13.9326i | − | 0.679032i | −0.940600 | − | 0.339516i | \(-0.889737\pi\) | ||
0.940600 | − | 0.339516i | \(-0.110263\pi\) | |||||||
\(422\) | −14.5823 | + | 18.8213i | −0.709854 | + | 0.916204i | ||||
\(423\) | 11.3242 | + | 7.39009i | 0.550602 | + | 0.359319i | ||||
\(424\) | 20.0876 | − | 14.9711i | 0.975538 | − | 0.727063i | ||||
\(425\) | 0.0638689 | − | 0.0368747i | 0.00309809 | − | 0.00178869i | ||||
\(426\) | 14.2191 | + | 6.42964i | 0.688916 | + | 0.311517i | ||||
\(427\) | 4.00839 | + | 10.9140i | 0.193979 | + | 0.528168i | ||||
\(428\) | −6.19638 | − | 6.31327i | −0.299513 | − | 0.305163i | ||||
\(429\) | 4.34020 | + | 1.29091i | 0.209547 | + | 0.0623256i | ||||
\(430\) | −35.6780 | − | 4.86678i | −1.72055 | − | 0.234697i | ||||
\(431\) | 16.9743 | − | 29.4004i | 0.817624 | − | 1.41617i | −0.0898039 | − | 0.995959i | \(-0.528624\pi\) |
0.907428 | − | 0.420207i | \(-0.138043\pi\) | |||||||
\(432\) | −19.4348 | − | 7.36819i | −0.935055 | − | 0.354502i | ||||
\(433\) | 4.44336 | 0.213534 | 0.106767 | − | 0.994284i | \(-0.465950\pi\) | ||||
0.106767 | + | 0.994284i | \(0.465950\pi\) | |||||||
\(434\) | −7.20800 | − | 32.7865i | −0.345995 | − | 1.57380i | ||||
\(435\) | 19.3456 | − | 18.3173i | 0.927552 | − | 0.878245i | ||||
\(436\) | 4.36058 | − | 15.6861i | 0.208834 | − | 0.751230i | ||||
\(437\) | 18.7822 | − | 32.5316i | 0.898472 | − | 1.55620i | ||||
\(438\) | 17.8705 | − | 12.8262i | 0.853886 | − | 0.612862i | ||||
\(439\) | 7.55680 | − | 4.36292i | 0.360667 | − | 0.208231i | −0.308707 | − | 0.951157i | \(-0.599896\pi\) |
0.669373 | + | 0.742926i | \(0.266563\pi\) | |||||||
\(440\) | 4.09346 | − | 9.50351i | 0.195148 | − | 0.453062i | ||||
\(441\) | 20.8342 | − | 2.63391i | 0.992103 | − | 0.125424i | ||||
\(442\) | 0.268869 | + | 0.657783i | 0.0127888 | + | 0.0312875i | ||||
\(443\) | −32.0121 | + | 18.4822i | −1.52094 | + | 0.878115i | −0.521244 | + | 0.853407i | \(0.674532\pi\) |
−0.999695 | + | 0.0247072i | \(0.992135\pi\) | |||||||
\(444\) | 2.01115 | − | 3.20612i | 0.0954449 | − | 0.152155i | ||||
\(445\) | −9.99478 | − | 5.77049i | −0.473798 | − | 0.273548i | ||||
\(446\) | 2.01419 | + | 1.56055i | 0.0953745 | + | 0.0738940i | ||||
\(447\) | 6.21654 | − | 5.88608i | 0.294032 | − | 0.278402i | ||||
\(448\) | 17.6377 | − | 11.7010i | 0.833302 | − | 0.552819i | ||||
\(449\) | − | 23.4269i | − | 1.10559i | −0.833319 | − | 0.552793i | \(-0.813562\pi\) | ||
0.833319 | − | 0.552793i | \(-0.186438\pi\) | |||||||
\(450\) | 0.734691 | + | 0.636316i | 0.0346337 | + | 0.0299962i | ||||
\(451\) | −2.88868 | + | 5.00333i | −0.136022 | + | 0.235598i | ||||
\(452\) | −25.9504 | + | 6.69414i | −1.22060 | + | 0.314866i | ||||
\(453\) | −3.12801 | + | 10.5168i | −0.146967 | + | 0.494121i | ||||
\(454\) | 15.1878 | − | 6.20802i | 0.712799 | − | 0.291357i | ||||
\(455\) | 3.10971 | + | 8.46712i | 0.145785 | + | 0.396945i | ||||
\(456\) | −26.4422 | + | 9.69367i | −1.23827 | + | 0.453948i | ||||
\(457\) | 0.661376 | + | 1.14554i | 0.0309378 | + | 0.0535859i | 0.881080 | − | 0.472968i | \(-0.156817\pi\) |
−0.850142 | + | 0.526554i | \(0.823484\pi\) | |||||||
\(458\) | −1.87757 | + | 13.7644i | −0.0877332 | + | 0.643166i | ||||
\(459\) | 0.299319 | + | 1.64577i | 0.0139710 | + | 0.0768182i | ||||
\(460\) | −27.5023 | − | 7.64534i | −1.28230 | − | 0.356466i | ||||
\(461\) | −23.5461 | −1.09665 | −0.548325 | − | 0.836266i | \(-0.684734\pi\) | ||||
−0.548325 | + | 0.836266i | \(0.684734\pi\) | |||||||
\(462\) | −9.76983 | + | 4.73028i | −0.454534 | + | 0.220072i | ||||
\(463\) | 14.4502i | 0.671557i | 0.941941 | + | 0.335778i | \(0.108999\pi\) | ||||
−0.941941 | + | 0.335778i | \(0.891001\pi\) | |||||||
\(464\) | −24.6533 | + | 13.6258i | −1.14450 | + | 0.632562i | ||||
\(465\) | 33.0134 | − | 7.88678i | 1.53096 | − | 0.365741i | ||||
\(466\) | 1.53208 | − | 11.2316i | 0.0709723 | − | 0.520293i | ||||
\(467\) | −13.0084 | + | 7.51039i | −0.601956 | + | 0.347540i | −0.769811 | − | 0.638272i | \(-0.779649\pi\) |
0.167855 | + | 0.985812i | \(0.446316\pi\) | |||||||
\(468\) | −7.03174 | + | 6.18548i | −0.325042 | + | 0.285924i | ||||
\(469\) | −2.90969 | − | 2.42713i | −0.134357 | − | 0.112074i | ||||
\(470\) | −5.26808 | − | 12.8882i | −0.242998 | − | 0.594491i | ||||
\(471\) | −1.19312 | + | 4.01144i | −0.0549762 | + | 0.184837i | ||||
\(472\) | 10.4809 | + | 14.0628i | 0.482423 | + | 0.647292i | ||||
\(473\) | −16.9088 | − | 9.76231i | −0.777468 | − | 0.448872i | ||||
\(474\) | −10.0988 | + | 1.00234i | −0.463851 | + | 0.0460389i | ||||
\(475\) | 1.31697 | 0.0604269 | ||||||||
\(476\) | −1.53920 | − | 0.729836i | −0.0705492 | − | 0.0334520i | ||||
\(477\) | 1.45004 | − | 26.5330i | 0.0663928 | − | 1.21486i | ||||
\(478\) | −5.21805 | + | 6.73491i | −0.238668 | + | 0.308047i | ||||
\(479\) | −10.9550 | + | 18.9745i | −0.500545 | + | 0.866969i | 0.499455 | + | 0.866340i | \(0.333534\pi\) |
−1.00000 | 0.000629369i | \(0.999800\pi\) | ||||||||
\(480\) | 12.1517 | + | 17.6166i | 0.554648 | + | 0.804082i | ||||
\(481\) | −0.852653 | − | 1.47684i | −0.0388776 | − | 0.0673380i | ||||
\(482\) | −5.47839 | − | 13.4028i | −0.249534 | − | 0.610480i | ||||
\(483\) | 16.5720 | + | 24.9403i | 0.754051 | + | 1.13482i | ||||
\(484\) | −11.6967 | + | 11.4802i | −0.531670 | + | 0.521826i | ||||
\(485\) | 4.62134 | + | 8.00440i | 0.209844 | + | 0.363461i | ||||
\(486\) | −19.2040 | + | 10.8262i | −0.871111 | + | 0.491086i | ||||
\(487\) | −9.51388 | − | 5.49284i | −0.431115 | − | 0.248904i | 0.268707 | − | 0.963222i | \(-0.413404\pi\) |
−0.699821 | + | 0.714318i | \(0.746737\pi\) | |||||||
\(488\) | 12.3448 | − | 1.44952i | 0.558824 | − | 0.0656165i | ||||
\(489\) | 11.2208 | − | 10.6243i | 0.507421 | − | 0.480448i | ||||
\(490\) | −19.1912 | − | 9.96233i | −0.866969 | − | 0.450052i | ||||
\(491\) | 32.3525i | 1.46005i | 0.683422 | + | 0.730024i | \(0.260491\pi\) | ||||
−0.683422 | + | 0.730024i | \(0.739509\pi\) | |||||||
\(492\) | −5.59131 | − | 10.5599i | −0.252076 | − | 0.476077i | ||||
\(493\) | 1.96329 | + | 1.13351i | 0.0884222 | + | 0.0510506i | ||||
\(494\) | −1.71510 | + | 12.5732i | −0.0771658 | + | 0.565697i | ||||
\(495\) | −4.96080 | − | 9.79018i | −0.222971 | − | 0.440036i | ||||
\(496\) | −35.8810 | − | 0.670615i | −1.61111 | − | 0.0301115i | ||||
\(497\) | −2.87863 | + | 16.6079i | −0.129124 | + | 0.744967i | ||||
\(498\) | −9.14832 | + | 20.2314i | −0.409946 | + | 0.906590i | ||||
\(499\) | −7.10372 | − | 12.3040i | −0.318006 | − | 0.550803i | 0.662066 | − | 0.749446i | \(-0.269680\pi\) |
−0.980072 | + | 0.198643i | \(0.936347\pi\) | |||||||
\(500\) | −5.70583 | − | 22.1191i | −0.255172 | − | 0.989196i | ||||
\(501\) | −2.82174 | − | 11.8116i | −0.126066 | − | 0.527702i | ||||
\(502\) | −11.1535 | − | 8.64145i | −0.497804 | − | 0.385687i | ||||
\(503\) | 33.4106 | 1.48970 | 0.744852 | − | 0.667229i | \(-0.232520\pi\) | ||||
0.744852 | + | 0.667229i | \(0.232520\pi\) | |||||||
\(504\) | 2.44970 | − | 22.3159i | 0.109118 | − | 0.994029i | ||||
\(505\) | 10.7961 | 0.480419 | ||||||||
\(506\) | −12.2353 | − | 9.47960i | −0.543924 | − | 0.421420i | ||||
\(507\) | −4.25144 | − | 17.7961i | −0.188813 | − | 0.790354i | ||||
\(508\) | −24.2765 | + | 6.26235i | −1.07710 | + | 0.277847i | ||||
\(509\) | 8.44815 | + | 14.6326i | 0.374458 | + | 0.648580i | 0.990246 | − | 0.139332i | \(-0.0444956\pi\) |
−0.615788 | + | 0.787912i | \(0.711162\pi\) | |||||||
\(510\) | 0.709658 | − | 1.56940i | 0.0314242 | − | 0.0694941i | ||||
\(511\) | 18.2452 | + | 15.2193i | 0.807118 | + | 0.673261i | ||||
\(512\) | −7.77274 | − | 21.2505i | −0.343510 | − | 0.939149i | ||||
\(513\) | −10.0657 | + | 28.1244i | −0.444410 | + | 1.24172i | ||||
\(514\) | 3.78640 | − | 27.7578i | 0.167011 | − | 1.22434i | ||||
\(515\) | −34.6894 | − | 20.0279i | −1.52860 | − | 0.882536i | ||||
\(516\) | 35.6873 | − | 18.8959i | 1.57105 | − | 0.831846i | ||||
\(517\) | − | 7.54957i | − | 0.332030i | ||||||
\(518\) | 3.89656 | + | 1.23614i | 0.171205 | + | 0.0543127i | ||||
\(519\) | −17.9013 | + | 16.9497i | −0.785781 | + | 0.744011i | ||||
\(520\) | 9.57711 | − | 1.12454i | 0.419984 | − | 0.0493142i | ||||
\(521\) | −31.0684 | − | 17.9374i | −1.36113 | − | 0.785850i | −0.371358 | − | 0.928490i | \(-0.621108\pi\) |
−0.989775 | + | 0.142639i | \(0.954441\pi\) | |||||||
\(522\) | −5.64744 | + | 29.3383i | −0.247182 | + | 1.28410i | ||||
\(523\) | −1.10840 | − | 1.91980i | −0.0484669 | − | 0.0839471i | 0.840774 | − | 0.541386i | \(-0.182100\pi\) |
−0.889241 | + | 0.457439i | \(0.848767\pi\) | |||||||
\(524\) | 23.9650 | + | 24.4170i | 1.04691 | + | 1.06666i | ||||
\(525\) | −0.466742 | + | 0.940354i | −0.0203703 | + | 0.0410404i | ||||
\(526\) | −3.65764 | − | 8.94834i | −0.159481 | − | 0.390166i | ||||
\(527\) | 1.44413 | + | 2.50130i | 0.0629072 | + | 0.108959i | ||||
\(528\) | 2.48495 | + | 11.3350i | 0.108143 | + | 0.493293i | ||||
\(529\) | −9.84883 | + | 17.0587i | −0.428210 | + | 0.741681i | ||||
\(530\) | −16.7574 | + | 21.6287i | −0.727895 | + | 0.939490i | ||||
\(531\) | 18.5751 | + | 1.01514i | 0.806089 | + | 0.0440532i | ||||
\(532\) | −17.2872 | − | 25.0300i | −0.749496 | − | 1.08519i | ||||
\(533\) | −5.38390 | −0.233202 | ||||||||
\(534\) | 12.8792 | − | 1.27831i | 0.557338 | − | 0.0553178i | ||||
\(535\) | 8.36662 | + | 4.83047i | 0.361721 | + | 0.208840i | ||||
\(536\) | −3.24789 | + | 2.42064i | −0.140288 | + | 0.104556i | ||||
\(537\) | −0.613582 | + | 2.06295i | −0.0264780 | + | 0.0890227i | ||||
\(538\) | 12.9300 | + | 31.6331i | 0.557453 | + | 1.36380i | ||||
\(539\) | −7.58846 | − | 8.93744i | −0.326858 | − | 0.384963i | ||||
\(540\) | 22.6049 | + | 2.06817i | 0.972760 | + | 0.0889999i | ||||
\(541\) | 32.2404 | − | 18.6140i | 1.38612 | − | 0.800279i | 0.393248 | − | 0.919432i | \(-0.371351\pi\) |
0.992876 | + | 0.119153i | \(0.0380180\pi\) | |||||||
\(542\) | 3.37322 | − | 24.7288i | 0.144892 | − | 1.06219i | ||||
\(543\) | −35.2911 | + | 8.43092i | −1.51449 | + | 0.361806i | ||||
\(544\) | −1.14205 | + | 1.41847i | −0.0489650 | + | 0.0608166i | ||||
\(545\) | 17.7808i | 0.761645i | ||||||||
\(546\) | −8.36979 | − | 5.68065i | −0.358194 | − | 0.243109i | ||||
\(547\) | 12.2271 | 0.522792 | 0.261396 | − | 0.965232i | \(-0.415817\pi\) | ||||
0.261396 | + | 0.965232i | \(0.415817\pi\) | |||||||
\(548\) | 11.0964 | − | 39.9167i | 0.474016 | − | 1.70516i | ||||
\(549\) | 7.20502 | − | 11.0406i | 0.307503 | − | 0.471202i | ||||
\(550\) | 0.0733416 | − | 0.537662i | 0.00312730 | − | 0.0229260i | ||||
\(551\) | 20.2415 | + | 35.0593i | 0.862317 | + | 1.49358i | ||||
\(552\) | 30.0556 | − | 11.0184i | 1.27925 | − | 0.468972i | ||||
\(553\) | −3.77901 | − | 10.2895i | −0.160700 | − | 0.437554i | ||||
\(554\) | −19.5373 | + | 7.98588i | −0.830060 | + | 0.339288i | ||||
\(555\) | −1.17836 | + | 3.96181i | −0.0500187 | + | 0.168170i | ||||
\(556\) | −0.635721 | − | 2.46443i | −0.0269606 | − | 0.104515i | ||||
\(557\) | 0.649106 | − | 1.12428i | 0.0275035 | − | 0.0476375i | −0.851946 | − | 0.523630i | \(-0.824578\pi\) |
0.879450 | + | 0.475992i | \(0.157911\pi\) | |||||||
\(558\) | −24.9201 | + | 28.7728i | −1.05495 | + | 1.21805i | ||||
\(559\) | − | 18.1949i | − | 0.769564i | ||||||
\(560\) | −15.1361 | + | 17.4711i | −0.639618 | + | 0.738290i | ||||
\(561\) | 0.678160 | − | 0.642111i | 0.0286320 | − | 0.0271099i | ||||
\(562\) | −15.5270 | − | 12.0300i | −0.654967 | − | 0.507453i | ||||
\(563\) | 24.2080 | + | 13.9765i | 1.02024 | + | 0.589038i | 0.914175 | − | 0.405320i | \(-0.132840\pi\) |
0.106070 | + | 0.994359i | \(0.466173\pi\) | |||||||
\(564\) | 13.2272 | + | 8.29721i | 0.556965 | + | 0.349376i | ||||
\(565\) | 25.3475 | − | 14.6344i | 1.06638 | − | 0.615672i | ||||
\(566\) | −3.09135 | − | 7.56293i | −0.129939 | − | 0.317894i | ||||
\(567\) | −16.5142 | − | 17.1546i | −0.693533 | − | 0.720425i | ||||
\(568\) | 16.5494 | + | 7.12835i | 0.694398 | + | 0.299099i | ||||
\(569\) | 26.1457 | − | 15.0952i | 1.09608 | − | 0.632825i | 0.160895 | − | 0.986972i | \(-0.448562\pi\) |
0.935190 | + | 0.354147i | \(0.115229\pi\) | |||||||
\(570\) | 24.9875 | − | 17.9344i | 1.04661 | − | 0.751188i | ||||
\(571\) | −16.0016 | + | 27.7156i | −0.669646 | + | 1.15986i | 0.308357 | + | 0.951271i | \(0.400221\pi\) |
−0.978003 | + | 0.208591i | \(0.933112\pi\) | |||||||
\(572\) | 5.03759 | + | 1.40040i | 0.210632 | + | 0.0585535i | ||||
\(573\) | 30.7182 | − | 29.0853i | 1.28327 | − | 1.21505i | ||||
\(574\) | 9.53080 | − | 8.70252i | 0.397808 | − | 0.363236i | ||||
\(575\) | −1.49694 | −0.0624269 | ||||||||
\(576\) | −22.5905 | − | 8.10378i | −0.941269 | − | 0.337658i | ||||
\(577\) | 7.72204 | − | 13.3750i | 0.321473 | − | 0.556807i | −0.659319 | − | 0.751863i | \(-0.729155\pi\) |
0.980792 | + | 0.195056i | \(0.0624888\pi\) | |||||||
\(578\) | −23.6758 | − | 3.22958i | −0.984784 | − | 0.134333i | ||||
\(579\) | −0.0220008 | − | 0.00654370i | −0.000914322 | − | 0.000271947i | ||||
\(580\) | 21.9551 | − | 21.5486i | 0.911635 | − | 0.894756i | ||||
\(581\) | −23.6303 | − | 4.09581i | −0.980351 | − | 0.169923i | ||||
\(582\) | −9.44442 | − | 4.27062i | −0.391484 | − | 0.177023i | ||||
\(583\) | −12.8480 | + | 7.41782i | −0.532112 | + | 0.307215i | ||||
\(584\) | 20.3659 | − | 15.1786i | 0.842745 | − | 0.628093i | ||||
\(585\) | 5.58965 | − | 8.56532i | 0.231104 | − | 0.354132i | ||||
\(586\) | −13.5450 | + | 17.4824i | −0.559537 | + | 0.722191i | ||||
\(587\) | 1.97510i | 0.0815212i | 0.999169 | + | 0.0407606i | \(0.0129781\pi\) | ||||
−0.999169 | + | 0.0407606i | \(0.987022\pi\) | |||||||
\(588\) | 23.9987 | − | 3.47279i | 0.989692 | − | 0.143216i | ||||
\(589\) | 51.5768i | 2.12518i | ||||||||
\(590\) | −15.1417 | − | 11.7314i | −0.623373 | − | 0.482975i | ||||
\(591\) | −2.60961 | − | 10.9236i | −0.107345 | − | 0.449337i | ||||
\(592\) | 2.25543 | − | 3.74320i | 0.0926978 | − | 0.153845i | ||||
\(593\) | 14.0265 | − | 8.09823i | 0.576001 | − | 0.332554i | −0.183542 | − | 0.983012i | \(-0.558756\pi\) |
0.759543 | + | 0.650458i | \(0.225423\pi\) | |||||||
\(594\) | 10.9214 | + | 5.67560i | 0.448110 | + | 0.232873i | ||||
\(595\) | 1.83306 | + | 0.317722i | 0.0751482 | + | 0.0130253i | ||||
\(596\) | 7.05506 | − | 6.92443i | 0.288987 | − | 0.283636i | ||||
\(597\) | −2.54876 | + | 8.56926i | −0.104314 | + | 0.350717i | ||||
\(598\) | 1.94947 | − | 14.2914i | 0.0797198 | − | 0.584420i | ||||
\(599\) | −7.00327 | + | 12.1300i | −0.286146 | + | 0.495619i | −0.972886 | − | 0.231283i | \(-0.925708\pi\) |
0.686741 | + | 0.726903i | \(0.259041\pi\) | |||||||
\(600\) | 0.861403 | + | 0.719405i | 0.0351666 | + | 0.0293696i | ||||
\(601\) | −15.5923 | −0.636024 | −0.318012 | − | 0.948087i | \(-0.603015\pi\) | ||||
−0.318012 | + | 0.948087i | \(0.603015\pi\) | |||||||
\(602\) | 29.4103 | + | 32.2095i | 1.19867 | + | 1.31276i | ||||
\(603\) | −0.234452 | + | 4.29003i | −0.00954764 | + | 0.174704i | ||||
\(604\) | −3.39331 | + | 12.2066i | −0.138072 | + | 0.496680i | ||||
\(605\) | 8.94954 | − | 15.5011i | 0.363850 | − | 0.630207i | ||||
\(606\) | −9.83591 | + | 7.05956i | −0.399557 | + | 0.286775i | ||||
\(607\) | −28.3416 | + | 16.3630i | −1.15035 | + | 0.664155i | −0.948973 | − | 0.315359i | \(-0.897875\pi\) |
−0.201378 | + | 0.979514i | \(0.564542\pi\) | |||||||
\(608\) | −30.3269 | + | 11.7396i | −1.22992 | + | 0.476105i | ||||
\(609\) | −32.2070 | + | 2.02778i | −1.30509 | + | 0.0821696i | ||||
\(610\) | −12.5655 | + | 5.13615i | −0.508761 | + | 0.207956i | ||||
\(611\) | 6.09286 | − | 3.51771i | 0.246491 | − | 0.142311i | ||||
\(612\) | 0.379687 | + | 1.89387i | 0.0153479 | + | 0.0765550i | ||||
\(613\) | 0.287887 | + | 0.166212i | 0.0116277 | + | 0.00671323i | 0.505803 | − | 0.862649i | \(-0.331196\pi\) |
−0.494175 | + | 0.869363i | \(0.664530\pi\) | |||||||
\(614\) | 6.23530 | − | 8.04788i | 0.251636 | − | 0.324786i | ||||
\(615\) | 8.97213 | + | 9.47585i | 0.361791 | + | 0.382103i | ||||
\(616\) | −11.1814 | + | 5.66371i | −0.450509 | + | 0.228197i | ||||
\(617\) | 39.1386i | 1.57566i | 0.615893 | + | 0.787830i | \(0.288795\pi\) | ||||
−0.615893 | + | 0.787830i | \(0.711205\pi\) | |||||||
\(618\) | 44.7005 | − | 4.43669i | 1.79812 | − | 0.178470i | ||||
\(619\) | 1.61116 | − | 2.79062i | 0.0647581 | − | 0.112164i | −0.831829 | − | 0.555033i | \(-0.812706\pi\) |
0.896587 | + | 0.442868i | \(0.146039\pi\) | |||||||
\(620\) | 37.9509 | − | 9.78979i | 1.52415 | − | 0.393167i | ||||
\(621\) | 11.4412 | − | 31.9677i | 0.459119 | − | 1.28282i | ||||
\(622\) | −4.65621 | − | 11.3913i | −0.186697 | − | 0.456750i | ||||
\(623\) | 4.81946 | + | 13.1225i | 0.193088 | + | 0.525740i | ||||
\(624\) | −7.99002 | + | 7.28700i | −0.319857 | + | 0.291713i | ||||
\(625\) | 11.9010 | + | 20.6132i | 0.476042 | + | 0.824528i | ||||
\(626\) | 26.8348 | + | 3.66050i | 1.07254 | + | 0.146303i | ||||
\(627\) | 16.2209 | − | 3.87513i | 0.647802 | − | 0.154758i | ||||
\(628\) | −1.29432 | + | 4.65599i | −0.0516489 | + | 0.185794i | ||||
\(629\) | −0.351718 | −0.0140239 | ||||||||
\(630\) | 3.94991 | + | 24.1978i | 0.157368 | + | 0.964063i | ||||
\(631\) | 10.2850i | 0.409441i | 0.978820 | + | 0.204721i | \(0.0656286\pi\) | ||||
−0.978820 | + | 0.204721i | \(0.934371\pi\) | |||||||
\(632\) | −11.6384 | + | 1.36657i | −0.462950 | + | 0.0543591i | ||||
\(633\) | 6.77563 | + | 28.3622i | 0.269307 | + | 1.12730i | ||||
\(634\) | 5.13352 | + | 0.700255i | 0.203878 | + | 0.0278107i | ||||
\(635\) | 23.7125 | − | 13.6904i | 0.941002 | − | 0.543287i | ||||
\(636\) | 1.12405 | − | 30.6628i | 0.0445714 | − | 1.21586i | ||||
\(637\) | 3.67710 | − | 10.2886i | 0.145692 | − | 0.407650i | ||||
\(638\) | 15.4404 | − | 6.31127i | 0.611292 | − | 0.249866i | ||||
\(639\) | 17.0486 | − | 8.63874i | 0.674433 | − | 0.341743i | ||||
\(640\) | 14.3945 | + | 20.0867i | 0.568994 | + | 0.793995i | ||||
\(641\) | 26.2428 | + | 15.1513i | 1.03653 | + | 0.598439i | 0.918848 | − | 0.394612i | \(-0.129121\pi\) |
0.117680 | + | 0.993052i | \(0.462454\pi\) | |||||||
\(642\) | −10.7812 | + | 1.07007i | −0.425499 | + | 0.0422323i | ||||
\(643\) | −37.4668 | −1.47755 | −0.738773 | − | 0.673955i | \(-0.764594\pi\) | ||||
−0.738773 | + | 0.673955i | \(0.764594\pi\) | |||||||
\(644\) | 19.6496 | + | 28.4504i | 0.774303 | + | 1.12110i | ||||
\(645\) | −32.0238 | + | 30.3214i | −1.26093 | + | 1.19390i | ||||
\(646\) | 2.06893 | + | 1.60296i | 0.0814009 | + | 0.0630675i | ||||
\(647\) | 0.130900 | − | 0.226726i | 0.00514622 | − | 0.00891351i | −0.863441 | − | 0.504450i | \(-0.831695\pi\) |
0.868587 | + | 0.495537i | \(0.165029\pi\) | |||||||
\(648\) | −21.9469 | + | 12.8971i | −0.862154 | + | 0.506646i | ||||
\(649\) | −5.19303 | − | 8.99459i | −0.203844 | − | 0.353069i | ||||
\(650\) | 0.468092 | − | 0.191333i | 0.0183601 | − | 0.00750469i | ||||
\(651\) | −36.8272 | − | 18.2791i | −1.44337 | − | 0.716413i | ||||
\(652\) | 12.7343 | − | 12.4985i | 0.498714 | − | 0.489480i | ||||
\(653\) | −22.1548 | − | 38.3732i | −0.866984 | − | 1.50166i | −0.865064 | − | 0.501662i | \(-0.832722\pi\) |
−0.00192051 | − | 0.999998i | \(-0.500611\pi\) | |||||||
\(654\) | −11.6269 | − | 16.1994i | −0.454646 | − | 0.633447i | ||||
\(655\) | −32.3586 | − | 18.6822i | −1.26435 | − | 0.729975i | ||||
\(656\) | −6.67417 | − | 12.0756i | −0.260582 | − | 0.471475i | ||||
\(657\) | 1.47013 | − | 26.9006i | 0.0573552 | − | 1.04949i | ||||
\(658\) | −5.09981 | + | 16.0757i | −0.198811 | + | 0.626695i | ||||
\(659\) | − | 23.4513i | − | 0.913534i | −0.889586 | − | 0.456767i | \(-0.849007\pi\) | ||
0.889586 | − | 0.456767i | \(-0.150993\pi\) | |||||||
\(660\) | −5.93027 | − | 11.2001i | −0.230835 | − | 0.435962i | ||||
\(661\) | 29.3695 | + | 16.9565i | 1.14234 | + | 0.659531i | 0.947009 | − | 0.321206i | \(-0.104088\pi\) |
0.195332 | + | 0.980737i | \(0.437422\pi\) | |||||||
\(662\) | 15.1716 | + | 2.06954i | 0.589662 | + | 0.0804348i | ||||
\(663\) | 0.834201 | + | 0.248117i | 0.0323977 | + | 0.00963605i | ||||
\(664\) | −10.1425 | + | 23.5471i | −0.393604 | + | 0.913804i | ||||
\(665\) | 25.5114 | + | 21.2804i | 0.989289 | + | 0.825219i | ||||
\(666\) | −1.51707 | − | 4.37999i | −0.0587852 | − | 0.169721i | ||||
\(667\) | −23.0076 | − | 39.8503i | −0.890857 | − | 1.54301i | ||||
\(668\) | −3.50260 | − | 13.5781i | −0.135520 | − | 0.525353i | ||||
\(669\) | 3.03523 | − | 0.725105i | 0.117349 | − | 0.0280342i | ||||
\(670\) | 2.70945 | − | 3.49707i | 0.104675 | − | 0.135104i | ||||
\(671\) | −7.36050 | −0.284149 | ||||||||
\(672\) | 2.36559 | − | 25.8148i | 0.0912545 | − | 0.995828i | ||||
\(673\) | −13.3855 | −0.515973 | −0.257986 | − | 0.966149i | \(-0.583059\pi\) | ||||
−0.257986 | + | 0.966149i | \(0.583059\pi\) | |||||||
\(674\) | −17.3599 | + | 22.4063i | −0.668678 | + | 0.863059i | ||||
\(675\) | 1.17117 | − | 0.213002i | 0.0450783 | − | 0.00819845i | ||||
\(676\) | −5.27727 | − | 20.4578i | −0.202972 | − | 0.786837i | ||||
\(677\) | −13.0777 | − | 22.6513i | −0.502618 | − | 0.870559i | −0.999995 | − | 0.00302522i | \(-0.999037\pi\) |
0.497378 | − | 0.867534i | \(-0.334296\pi\) | |||||||
\(678\) | −13.5237 | + | 29.9075i | −0.519376 | + | 1.14859i | ||||
\(679\) | 1.91201 | − | 11.0311i | 0.0733761 | − | 0.423335i | ||||
\(680\) | 0.786775 | − | 1.82660i | 0.0301715 | − | 0.0700471i | ||||
\(681\) | 5.72886 | − | 19.2612i | 0.219530 | − | 0.738090i | ||||
\(682\) | 21.0565 | + | 2.87229i | 0.806296 | + | 0.109986i | ||||
\(683\) | 19.0543 | + | 11.0010i | 0.729092 | + | 0.420942i | 0.818090 | − | 0.575090i | \(-0.195033\pi\) |
−0.0889978 | + | 0.996032i | \(0.528366\pi\) | |||||||
\(684\) | −11.0379 | + | 32.6787i | −0.422046 | + | 1.24950i | ||||
\(685\) | 45.2470i | 1.72880i | ||||||||
\(686\) | 10.1212 | + | 24.1570i | 0.386428 | + | 0.922320i | ||||
\(687\) | 11.6978 | + | 12.3546i | 0.446299 | + | 0.471356i | ||||
\(688\) | 40.8098 | − | 22.5554i | 1.55586 | − | 0.859917i | ||||
\(689\) | −11.9731 | − | 6.91265i | −0.456137 | − | 0.263351i | ||||
\(690\) | −28.4022 | + | 20.3852i | −1.08125 | + | 0.776051i | ||||
\(691\) | 17.0852 | + | 29.5924i | 0.649952 | + | 1.12575i | 0.983134 | + | 0.182887i | \(0.0585442\pi\) |
−0.333182 | + | 0.942862i | \(0.608122\pi\) | |||||||
\(692\) | −20.3160 | + | 19.9398i | −0.772297 | + | 0.757998i | ||||
\(693\) | −2.98184 | + | 12.9556i | −0.113271 | + | 0.492141i | ||||
\(694\) | −7.65072 | + | 3.12724i | −0.290417 | + | 0.118708i | ||||
\(695\) | 1.38978 | + | 2.40717i | 0.0527173 | + | 0.0913091i | ||||
\(696\) | −5.91185 | + | 33.9886i | −0.224088 | + | 1.28833i | ||||
\(697\) | −0.555213 | + | 0.961656i | −0.0210302 | + | 0.0364253i | ||||
\(698\) | 20.8122 | + | 16.1248i | 0.787755 | + | 0.610334i | ||||
\(699\) | −9.54531 | − | 10.0812i | −0.361037 | − | 0.381306i | ||||
\(700\) | −0.519366 | + | 1.09533i | −0.0196302 | + | 0.0413995i | ||||
\(701\) | 25.6168 | 0.967533 | 0.483767 | − | 0.875197i | \(-0.339268\pi\) | ||||
0.483767 | + | 0.875197i | \(0.339268\pi\) | |||||||
\(702\) | 0.508333 | + | 11.4586i | 0.0191858 | + | 0.432478i | ||||
\(703\) | −5.43931 | − | 3.14039i | −0.205147 | − | 0.118442i | ||||
\(704\) | 3.10389 | + | 13.0349i | 0.116982 | + | 0.491272i | ||||
\(705\) | −16.3449 | − | 4.86146i | −0.615584 | − | 0.183093i | ||||
\(706\) | 8.74031 | − | 3.57261i | 0.328946 | − | 0.134457i | ||||
\(707\) | −10.0421 | − | 8.37668i | −0.377673 | − | 0.315037i | ||||
\(708\) | 21.4662 | + | 0.786917i | 0.806750 | + | 0.0295742i | ||||
\(709\) | 0.228674 | − | 0.132025i | 0.00858802 | − | 0.00495830i | −0.495700 | − | 0.868494i | \(-0.665088\pi\) |
0.504288 | + | 0.863536i | \(0.331755\pi\) | |||||||
\(710\) | −19.4987 | − | 2.65979i | −0.731774 | − | 0.0998201i | ||||
\(711\) | −6.79271 | + | 10.4088i | −0.254746 | + | 0.390361i | ||||
\(712\) | 14.8427 | − | 1.74282i | 0.556255 | − | 0.0653149i | ||||
\(713\) | − | 58.6250i | − | 2.19552i | ||||||
\(714\) | −1.87779 | + | 0.909174i | −0.0702746 | + | 0.0340250i | ||||
\(715\) | −5.71028 | −0.213552 | ||||||||
\(716\) | −0.665623 | + | 2.39442i | −0.0248755 | + | 0.0894837i | ||||
\(717\) | 2.42456 | + | 10.1490i | 0.0905467 | + | 0.379021i | ||||
\(718\) | −33.9890 | − | 4.63638i | −1.26846 | − | 0.173028i | ||||
\(719\) | −19.9630 | − | 34.5770i | −0.744496 | − | 1.28950i | −0.950430 | − | 0.310939i | \(-0.899357\pi\) |
0.205934 | − | 0.978566i | \(-0.433977\pi\) | |||||||
\(720\) | 26.1405 | + | 1.91912i | 0.974201 | + | 0.0715214i | ||||
\(721\) | 16.7271 | + | 45.5447i | 0.622952 | + | 1.69617i | ||||
\(722\) | 7.51695 | + | 18.3901i | 0.279752 | + | 0.684408i | ||||
\(723\) | −16.9974 | − | 5.05555i | −0.632141 | − | 0.188018i | ||||
\(724\) | −40.5693 | + | 10.4652i | −1.50775 | + | 0.388937i | ||||
\(725\) | 0.806627 | − | 1.39712i | 0.0299574 | − | 0.0518877i | ||||
\(726\) | 1.98255 | + | 19.9745i | 0.0735792 | + | 0.741325i | ||||
\(727\) | 4.46181i | 0.165479i | 0.996571 | + | 0.0827397i | \(0.0263670\pi\) | ||||
−0.996571 | + | 0.0827397i | \(0.973633\pi\) | |||||||
\(728\) | −9.78081 | − | 6.38488i | −0.362501 | − | 0.236639i | ||||
\(729\) | −4.40255 | + | 26.6386i | −0.163057 | + | 0.986617i | ||||
\(730\) | −16.9895 | + | 21.9283i | −0.628811 | + | 0.811604i | ||||
\(731\) | −3.24993 | − | 1.87635i | −0.120203 | − | 0.0693992i | ||||
\(732\) | 8.08942 | − | 12.8959i | 0.298993 | − | 0.476647i | ||||
\(733\) | 3.91514 | − | 2.26041i | 0.144609 | − | 0.0834900i | −0.425950 | − | 0.904747i | \(-0.640060\pi\) |
0.570559 | + | 0.821257i | \(0.306727\pi\) | |||||||
\(734\) | 9.89887 | − | 4.04617i | 0.365374 | − | 0.149347i | ||||
\(735\) | −24.2362 | + | 10.6739i | −0.893964 | + | 0.393714i | ||||
\(736\) | 34.4712 | − | 13.3439i | 1.27063 | − | 0.491863i | ||||
\(737\) | 2.07736 | − | 1.19936i | 0.0765205 | − | 0.0441791i | ||||
\(738\) | −14.3704 | − | 2.76622i | −0.528983 | − | 0.101826i | ||||
\(739\) | −0.571921 | + | 0.990596i | −0.0210384 | + | 0.0364397i | −0.876353 | − | 0.481670i | \(-0.840031\pi\) |
0.855315 | + | 0.518109i | \(0.173364\pi\) | |||||||
\(740\) | −1.27831 | + | 4.59840i | −0.0469915 | + | 0.169040i | ||||
\(741\) | 10.6855 | + | 11.2854i | 0.392543 | + | 0.414581i | ||||
\(742\) | 32.3688 | − | 7.11616i | 1.18830 | − | 0.261243i | ||||
\(743\) | 13.5335 | 0.496495 | 0.248248 | − | 0.968697i | \(-0.420145\pi\) | ||||
0.248248 | + | 0.968697i | \(0.420145\pi\) | |||||||
\(744\) | −28.1742 | + | 33.7352i | −1.03291 | + | 1.23679i | ||||
\(745\) | −5.39804 | + | 9.34968i | −0.197769 | + | 0.342546i | ||||
\(746\) | 3.74369 | − | 27.4447i | 0.137066 | − | 1.00482i | ||||
\(747\) | 12.2915 | + | 24.2574i | 0.449722 | + | 0.887531i | ||||
\(748\) | 0.769635 | − | 0.755385i | 0.0281406 | − | 0.0276196i | ||||
\(749\) | −4.03437 | − | 10.9848i | −0.147413 | − | 0.401375i | ||||
\(750\) | −25.4920 | − | 11.5271i | −0.930837 | − | 0.420910i | ||||
\(751\) | −13.7335 | + | 7.92906i | −0.501144 | + | 0.289336i | −0.729186 | − | 0.684316i | \(-0.760101\pi\) |
0.228042 | + | 0.973651i | \(0.426768\pi\) | |||||||
\(752\) | 15.4430 | + | 9.30504i | 0.563147 | + | 0.339320i | ||||
\(753\) | −16.8074 | + | 4.01524i | −0.612497 | + | 0.146323i | ||||
\(754\) | 12.2879 | + | 9.52040i | 0.447500 | + | 0.346712i | ||||
\(755\) | − | 13.8366i | − | 0.503566i | ||||||
\(756\) | −19.4216 | − | 19.4629i | −0.706355 | − | 0.707858i | ||||
\(757\) | − | 41.0141i | − | 1.49068i | −0.666683 | − | 0.745341i | \(-0.732287\pi\) | ||
0.666683 | − | 0.745341i | \(-0.267713\pi\) | |||||||
\(758\) | 4.32866 | − | 5.58698i | 0.157224 | − | 0.202928i | ||||
\(759\) | −18.4376 | + | 4.40468i | −0.669243 | + | 0.159880i | ||||
\(760\) | 28.4767 | − | 21.2235i | 1.03296 | − | 0.769857i | ||||
\(761\) | 8.79472 | − | 5.07763i | 0.318808 | − | 0.184064i | −0.332053 | − | 0.943261i | \(-0.607741\pi\) |
0.650861 | + | 0.759197i | \(0.274408\pi\) | |||||||
\(762\) | −12.6514 | + | 27.9784i | −0.458312 | + | 1.01355i | ||||
\(763\) | 13.7961 | − | 16.5390i | 0.499452 | − | 0.598753i | ||||
\(764\) | 34.8616 | − | 34.2162i | 1.26125 | − | 1.23790i | ||||
\(765\) | −0.953481 | − | 1.88170i | −0.0344732 | − | 0.0680331i | ||||
\(766\) | 42.4664 | + | 5.79277i | 1.53437 | + | 0.209301i | ||||
\(767\) | 4.83937 | − | 8.38203i | 0.174740 | − | 0.302658i | ||||
\(768\) | −26.2490 | − | 8.88762i | −0.947179 | − | 0.320704i | ||||
\(769\) | 15.2996 | 0.551719 | 0.275859 | − | 0.961198i | \(-0.411038\pi\) | ||||
0.275859 | + | 0.961198i | \(0.411038\pi\) | |||||||
\(770\) | 10.1086 | − | 9.23008i | 0.364288 | − | 0.332629i | ||||
\(771\) | −23.5903 | − | 24.9148i | −0.849585 | − | 0.897283i | ||||
\(772\) | −0.0255359 | − | 0.00709871i | −0.000919057 | − | 0.000255488i | ||||
\(773\) | −18.3453 | + | 31.7750i | −0.659835 | + | 1.14287i | 0.320823 | + | 0.947139i | \(0.396040\pi\) |
−0.980658 | + | 0.195728i | \(0.937293\pi\) | |||||||
\(774\) | 9.34848 | − | 48.5651i | 0.336024 | − | 1.74564i | ||||
\(775\) | 1.77998 | − | 1.02767i | 0.0639388 | − | 0.0369151i | ||||
\(776\) | −10.9922 | − | 4.73470i | −0.394599 | − | 0.169966i | ||||
\(777\) | 4.17004 | − | 2.77084i | 0.149599 | − | 0.0994035i | ||||
\(778\) | −2.28010 | − | 5.57823i | −0.0817457 | − | 0.199989i | ||||
\(779\) | −17.1727 | + | 9.91466i | −0.615276 | + | 0.355230i | ||||
\(780\) | 6.27577 | − | 10.0047i | 0.224709 | − | 0.358224i | ||||
\(781\) | −9.24099 | − | 5.33529i | −0.330669 | − | 0.190912i | ||||
\(782\) | −2.35166 | − | 1.82201i | −0.0840951 | − | 0.0651549i | ||||
\(783\) | 23.6709 | + | 27.9040i | 0.845927 | + | 0.997208i | ||||
\(784\) | 27.6349 | − | 4.50690i | 0.986961 | − | 0.160961i | ||||
\(785\) | − | 5.27773i | − | 0.188370i | ||||||
\(786\) | 41.6970 | − | 4.13858i | 1.48728 | − | 0.147618i | ||||
\(787\) | 14.6430 | − | 25.3624i | 0.521965 | − | 0.904071i | −0.477708 | − | 0.878519i | \(-0.658532\pi\) |
0.999673 | − | 0.0255520i | \(-0.00813435\pi\) | |||||||
\(788\) | −3.23929 | − | 12.5574i | −0.115395 | − | 0.447337i | ||||
\(789\) | −11.3483 | − | 3.37533i | −0.404010 | − | 0.120165i | ||||
\(790\) | 11.8464 | − | 4.84223i | 0.421476 | − | 0.172279i | ||||
\(791\) | −34.9321 | − | 6.05473i | −1.24204 | − | 0.215281i | ||||
\(792\) | 12.7266 | + | 6.32616i | 0.452219 | + | 0.224790i | ||||
\(793\) | −3.42962 | − | 5.94027i | −0.121789 | − | 0.210945i | ||||
\(794\) | −3.78293 | + | 27.7324i | −0.134251 | + | 0.984185i | ||||
\(795\) | 7.78630 | + | 32.5928i | 0.276152 | + | 1.15595i | ||||
\(796\) | −2.76493 | + | 9.94617i | −0.0980004 | + | 0.352533i | ||||
\(797\) | 18.4577 | 0.653805 | 0.326903 | − | 0.945058i | \(-0.393995\pi\) | ||||
0.326903 | + | 0.945058i | \(0.393995\pi\) | |||||||
\(798\) | −37.1578 | − | 2.70591i | −1.31537 | − | 0.0957881i | ||||
\(799\) | − | 1.45105i | − | 0.0513345i | ||||||
\(800\) | 1.00942 | + | 0.812706i | 0.0356882 | + | 0.0287335i | ||||
\(801\) | 8.66291 | − | 13.2746i | 0.306089 | − | 0.469036i | ||||
\(802\) | 0.438713 | − | 3.21617i | 0.0154915 | − | 0.113567i | ||||
\(803\) | −13.0260 | + | 7.52059i | −0.459679 | + | 0.265396i | ||||
\(804\) | −0.181744 | + | 4.95776i | −0.00640960 | + | 0.174847i | ||||
\(805\) | −28.9976 | − | 24.1885i | −1.02203 | − | 0.852533i | ||||
\(806\) | 7.49319 | + | 18.3319i | 0.263936 | + | 0.645715i | ||||
\(807\) | 40.1171 | + | 11.9320i | 1.41219 | + | 0.420028i | ||||
\(808\) | −11.2094 | + | 8.35427i | −0.394344 | + | 0.293902i | ||||
\(809\) | −12.9060 | − | 7.45126i | −0.453750 | − | 0.261972i | 0.255663 | − | 0.966766i | \(-0.417706\pi\) |
−0.709412 | + | 0.704794i | \(0.751040\pi\) | |||||||
\(810\) | 19.3205 | − | 19.9902i | 0.678852 | − | 0.702384i | ||||
\(811\) | 29.7496 | 1.04465 | 0.522325 | − | 0.852747i | \(-0.325065\pi\) | ||||
0.522325 | + | 0.852747i | \(0.325065\pi\) | |||||||
\(812\) | −37.1414 | + | 3.00877i | −1.30341 | + | 0.105587i | ||||
\(813\) | −21.0161 | − | 22.1960i | −0.737067 | − | 0.778448i | ||||
\(814\) | −1.58499 | + | 2.04574i | −0.0555540 | + | 0.0717033i | ||||
\(815\) | −9.74341 | + | 16.8761i | −0.341297 | + | 0.591143i | ||||
\(816\) | 0.477615 | + | 2.17862i | 0.0167199 | + | 0.0762671i | ||||
\(817\) | −33.5067 | − | 58.0353i | −1.17225 | − | 2.03040i | ||||
\(818\) | 0.803294 | + | 1.96524i | 0.0280865 | + | 0.0687131i | ||||
\(819\) | −11.8451 | + | 3.63014i | −0.413902 | + | 0.126847i | ||||
\(820\) | 10.5549 | + | 10.7540i | 0.368593 | + | 0.375546i | ||||
\(821\) | 7.25813 | + | 12.5715i | 0.253311 | + | 0.438747i | 0.964435 | − | 0.264319i | \(-0.0851472\pi\) |
−0.711125 | + | 0.703066i | \(0.751814\pi\) | |||||||
\(822\) | −29.5870 | − | 41.2229i | −1.03197 | − | 1.43781i | ||||
\(823\) | 42.5817 | + | 24.5846i | 1.48431 | + | 0.856965i | 0.999841 | − | 0.0178459i | \(-0.00568083\pi\) |
0.484465 | + | 0.874810i | \(0.339014\pi\) | |||||||
\(824\) | 51.5154 | − | 6.04889i | 1.79462 | − | 0.210723i | ||||
\(825\) | −0.456939 | − | 0.482593i | −0.0159086 | − | 0.0168017i | ||||
\(826\) | 4.98184 | + | 22.6606i | 0.173340 | + | 0.788462i | ||||
\(827\) | 0.00653186i | 0.000227135i | 1.00000 | 0.000113567i | \(3.61496e-5\pi\) | |||||
−1.00000 | 0.000113567i | \(0.999964\pi\) | ||||||||
\(828\) | 12.5463 | − | 37.1444i | 0.436014 | − | 1.29086i | ||||
\(829\) | −7.61159 | − | 4.39455i | −0.264361 | − | 0.152629i | 0.361961 | − | 0.932193i | \(-0.382107\pi\) |
−0.626322 | + | 0.779564i | \(0.715441\pi\) | |||||||
\(830\) | 3.78444 | − | 27.7435i | 0.131360 | − | 0.962989i | ||||
\(831\) | −7.36950 | + | 24.7772i | −0.255645 | + | 0.859513i | ||||
\(832\) | −9.07353 | + | 8.57858i | −0.314568 | + | 0.297409i | ||||
\(833\) | −1.45853 | − | 1.71781i | −0.0505350 | − | 0.0595184i | ||||
\(834\) | −2.84022 | − | 1.28431i | −0.0983489 | − | 0.0444718i | ||||
\(835\) | 7.65719 | + | 13.2626i | 0.264988 | + | 0.458973i | ||||
\(836\) | 18.6470 | − | 4.81016i | 0.644919 | − | 0.166363i | ||||
\(837\) | 8.34182 | + | 45.8666i | 0.288336 | + | 1.58538i | ||||
\(838\) | −9.44114 | − | 7.31477i | −0.326139 | − | 0.252685i | ||||
\(839\) | −35.4452 | −1.22371 | −0.611853 | − | 0.790972i | \(-0.709575\pi\) | ||||
−0.611853 | + | 0.790972i | \(0.709575\pi\) | |||||||
\(840\) | 5.06187 | + | 27.8548i | 0.174651 | + | 0.961082i | ||||
\(841\) | 20.5905 | 0.710017 | ||||||||
\(842\) | −15.5757 | − | 12.0677i | −0.536775 | − | 0.415881i | ||||
\(843\) | −23.3980 | + | 5.58970i | −0.805870 | + | 0.192519i | ||||
\(844\) | 8.41053 | + | 32.6041i | 0.289502 | + | 1.12228i | ||||
\(845\) | 11.5369 | + | 19.9825i | 0.396881 | + | 0.687417i | ||||
\(846\) | 18.0701 | − | 6.25883i | 0.621264 | − | 0.215183i | ||||
\(847\) | −20.3518 | + | 7.47458i | −0.699296 | + | 0.256829i | ||||
\(848\) | 0.662071 | − | 35.4239i | 0.0227356 | − | 1.21646i | ||||
\(849\) | −9.59132 | − | 2.85275i | −0.329173 | − | 0.0979061i | ||||
\(850\) | 0.0140965 | − | 0.103340i | 0.000483506 | − | 0.00354455i | ||||
\(851\) | 6.18262 | + | 3.56954i | 0.211937 | + | 0.122362i | ||||
\(852\) | 19.5038 | − | 10.3270i | 0.668189 | − | 0.353796i | ||||
\(853\) | − | 23.8784i | − | 0.817581i | −0.912628 | − | 0.408791i | \(-0.865951\pi\) | ||
0.912628 | − | 0.408791i | \(-0.134049\pi\) | |||||||
\(854\) | 15.6731 | + | 4.97209i | 0.536322 | + | 0.170141i | ||||
\(855\) | 2.05562 | − | 37.6138i | 0.0703006 | − | 1.28637i | ||||
\(856\) | −12.4248 | + | 1.45891i | −0.424672 | + | 0.0498646i | ||||
\(857\) | −46.6784 | − | 26.9498i | −1.59451 | − | 0.920588i | −0.992520 | − | 0.122081i | \(-0.961043\pi\) |
−0.601985 | − | 0.798507i | \(-0.705623\pi\) | |||||||
\(858\) | 5.20242 | − | 3.73395i | 0.177608 | − | 0.127475i | ||||
\(859\) | 9.18799 | + | 15.9141i | 0.313490 | + | 0.542981i | 0.979115 | − | 0.203305i | \(-0.0651684\pi\) |
−0.665625 | + | 0.746286i | \(0.731835\pi\) | |||||||
\(860\) | −36.3433 | + | 35.6704i | −1.23930 | + | 1.21635i | ||||
\(861\) | −0.993242 | − | 15.7756i | −0.0338496 | − | 0.537630i | ||||
\(862\) | −18.1654 | − | 44.4414i | −0.618717 | − | 1.51368i | ||||
\(863\) | −24.6737 | − | 42.7360i | −0.839901 | − | 1.45475i | −0.889977 | − | 0.456006i | \(-0.849279\pi\) |
0.0500753 | − | 0.998745i | \(-0.484054\pi\) | |||||||
\(864\) | −25.0706 | + | 15.3449i | −0.852919 | + | 0.522043i | ||||
\(865\) | 15.5444 | − | 26.9236i | 0.528524 | − | 0.915431i | ||||
\(866\) | 3.84862 | − | 4.96739i | 0.130781 | − | 0.168799i | ||||
\(867\) | −21.2509 | + | 20.1212i | −0.721717 | + | 0.683352i | ||||
\(868\) | −42.8965 | − | 20.3400i | −1.45600 | − | 0.690385i | ||||
\(869\) | 6.93929 | 0.235399 | ||||||||
\(870\) | −3.72129 | − | 37.4927i | −0.126163 | − | 1.27112i | ||||
\(871\) | 1.93589 | + | 1.11768i | 0.0655950 | + | 0.0378713i | ||||
\(872\) | −13.7592 | − | 18.4614i | −0.465945 | − | 0.625183i | ||||
\(873\) | −11.3238 | + | 5.73792i | −0.383253 | + | 0.194199i | ||||
\(874\) | −20.1001 | − | 49.1746i | −0.679897 | − | 1.66335i | ||||
\(875\) | 5.16082 | − | 29.7747i | 0.174467 | − | 1.00657i | ||||
\(876\) | 1.13962 | − | 31.0876i | 0.0385042 | − | 1.05035i | ||||
\(877\) | −51.2316 | + | 29.5786i | −1.72997 | + | 0.998797i | −0.840467 | + | 0.541863i | \(0.817719\pi\) |
−0.889500 | + | 0.456935i | \(0.848947\pi\) | |||||||
\(878\) | 1.66786 | − | 12.2270i | 0.0562876 | − | 0.412640i | ||||
\(879\) | 6.29364 | + | 26.3446i | 0.212279 | + | 0.888583i | ||||
\(880\) | −7.07877 | − | 12.8077i | −0.238625 | − | 0.431747i | ||||
\(881\) | 51.0955i | 1.72145i | 0.509068 | + | 0.860726i | \(0.329990\pi\) | ||||
−0.509068 | + | 0.860726i | \(0.670010\pi\) | |||||||
\(882\) | 15.1010 | − | 25.5726i | 0.508477 | − | 0.861076i | ||||
\(883\) | 10.4148 | 0.350486 | 0.175243 | − | 0.984525i | \(-0.443929\pi\) | ||||
0.175243 | + | 0.984525i | \(0.443929\pi\) | |||||||
\(884\) | 0.968241 | + | 0.269161i | 0.0325655 | + | 0.00905285i | ||||
\(885\) | −22.8174 | + | 5.45099i | −0.766997 | + | 0.183233i | ||||
\(886\) | −7.06538 | + | 51.7958i | −0.237366 | + | 1.74011i | ||||
\(887\) | 12.2631 | + | 21.2404i | 0.411756 | + | 0.713183i | 0.995082 | − | 0.0990557i | \(-0.0315822\pi\) |
−0.583326 | + | 0.812238i | \(0.698249\pi\) | |||||||
\(888\) | −1.84228 | − | 5.02532i | −0.0618227 | − | 0.168639i | ||||
\(889\) | −32.6789 | − | 5.66419i | −1.09601 | − | 0.189971i | ||||
\(890\) | −15.1080 | + | 6.17542i | −0.506423 | + | 0.207001i | ||||
\(891\) | 13.7983 | − | 6.06961i | 0.462262 | − | 0.203340i | ||||
\(892\) | 3.48918 | − | 0.900066i | 0.116826 | − | 0.0301364i | ||||
\(893\) | 12.9560 | − | 22.4405i | 0.433556 | − | 0.750942i | ||||
\(894\) | −1.19580 | − | 12.0479i | −0.0399936 | − | 0.402943i | ||||
\(895\) | − | 2.71416i | − | 0.0907242i | ||||||
\(896\) | 2.19595 | − | 29.8526i | 0.0733615 | − | 0.997305i | ||||
\(897\) | −12.1458 | − | 12.8277i | −0.405535 | − | 0.428303i | ||||
\(898\) | −26.1898 | − | 20.2913i | −0.873966 | − | 0.677128i | ||||
\(899\) | 54.7155 | + | 31.5900i | 1.82487 | + | 1.05359i | ||||
\(900\) | 1.34771 | − | 0.270193i | 0.0449238 | − | 0.00900643i | ||||
\(901\) | −2.46944 | + | 1.42573i | −0.0822688 | + | 0.0474979i | ||||
\(902\) | 3.09138 | + | 7.56300i | 0.102932 | + | 0.251820i | ||||
\(903\) | 53.3137 | − | 3.35667i | 1.77417 | − | 0.111703i | ||||
\(904\) | −14.9933 | + | 34.8090i | −0.498671 | + | 1.15773i | ||||
\(905\) | 39.6267 | − | 22.8785i | 1.31724 | − | 0.760507i | ||||
\(906\) | 9.04776 | + | 12.6060i | 0.300592 | + | 0.418807i | ||||
\(907\) | 14.6718 | − | 25.4124i | 0.487170 | − | 0.843803i | −0.512721 | − | 0.858555i | \(-0.671362\pi\) |
0.999891 | + | 0.0147518i | \(0.00469582\pi\) | |||||||
\(908\) | 6.21475 | − | 22.3561i | 0.206244 | − | 0.741913i | ||||
\(909\) | −0.809158 | + | 14.8060i | −0.0268381 | + | 0.491086i | ||||
\(910\) | 12.1592 | + | 3.85735i | 0.403073 | + | 0.127870i | ||||
\(911\) | 21.9953 | 0.728738 | 0.364369 | − | 0.931255i | \(-0.381285\pi\) | ||||
0.364369 | + | 0.931255i | \(0.381285\pi\) | |||||||
\(912\) | −12.0660 | + | 37.9568i | −0.399545 | + | 1.25688i | ||||
\(913\) | 7.59124 | − | 13.1484i | 0.251233 | − | 0.435149i | ||||
\(914\) | 1.85349 | + | 0.252831i | 0.0613079 | + | 0.00836292i | ||||
\(915\) | −4.73971 | + | 15.9356i | −0.156690 | + | 0.526813i | ||||
\(916\) | 13.7614 | + | 14.0210i | 0.454690 | + | 0.463267i | ||||
\(917\) | 15.6032 | + | 42.4845i | 0.515264 | + | 1.40296i | ||||
\(918\) | 2.09913 | + | 1.09087i | 0.0692815 | + | 0.0360041i | ||||
\(919\) | 32.9464 | − | 19.0216i | 1.08680 | − | 0.627464i | 0.154077 | − | 0.988059i | \(-0.450759\pi\) |
0.932723 | + | 0.360594i | \(0.117426\pi\) | |||||||
\(920\) | −32.3681 | + | 24.1238i | −1.06715 | + | 0.795338i | ||||
\(921\) | −2.89722 | − | 12.1275i | −0.0954668 | − | 0.399616i | ||||
\(922\) | −20.3944 | + | 26.3230i | −0.671655 | + | 0.866902i | ||||
\(923\) | − | 9.94388i | − | 0.327307i | ||||||
\(924\) | −3.17400 | + | 15.0192i | −0.104417 | + | 0.494095i | ||||
\(925\) | 0.250290i | 0.00822948i | ||||||||
\(926\) | 16.1544 | + | 12.5160i | 0.530866 | + | 0.411302i | ||||
\(927\) | 30.0668 | − | 46.0729i | 0.987523 | − | 1.51323i | ||||
\(928\) | −6.12071 | + | 39.3628i | −0.200922 | + | 1.29215i | ||||
\(929\) | −26.6079 | + | 15.3621i | −0.872978 | + | 0.504014i | −0.868337 | − | 0.495975i | \(-0.834811\pi\) |
−0.00464125 | + | 0.999989i | \(0.501477\pi\) | |||||||
\(930\) | 19.7777 | − | 43.7380i | 0.648535 | − | 1.43423i | ||||
\(931\) | −7.21830 | − | 39.5886i | −0.236570 | − | 1.29746i | ||||
\(932\) | −11.2292 | − | 11.4410i | −0.367824 | − | 0.374763i | ||||
\(933\) | −14.4465 | − | 4.29682i | −0.472957 | − | 0.140672i | ||||
\(934\) | −2.87108 | + | 21.0477i | −0.0939446 | + | 0.688701i | ||||
\(935\) | −0.588871 | + | 1.01995i | −0.0192581 | + | 0.0333561i | ||||
\(936\) | 0.824422 | + | 13.2186i | 0.0269471 | + | 0.432064i | ||||
\(937\) | 37.2804 | 1.21790 | 0.608949 | − | 0.793210i | \(-0.291592\pi\) | ||||
0.608949 | + | 0.793210i | \(0.291592\pi\) | |||||||
\(938\) | −5.23361 | + | 1.15059i | −0.170883 | + | 0.0375681i | ||||
\(939\) | 24.0863 | − | 22.8059i | 0.786027 | − | 0.744243i | ||||
\(940\) | −18.9712 | − | 5.27379i | −0.618772 | − | 0.172012i | ||||
\(941\) | 16.0848 | − | 27.8596i | 0.524348 | − | 0.908198i | −0.475250 | − | 0.879851i | \(-0.657642\pi\) |
0.999598 | − | 0.0283471i | \(-0.00902436\pi\) | |||||||
\(942\) | 3.45111 | + | 4.80834i | 0.112443 | + | 0.156664i | ||||
\(943\) | 19.5194 | − | 11.2695i | 0.635640 | − | 0.366987i | ||||
\(944\) | 24.7994 | + | 0.463499i | 0.807151 | + | 0.0150856i | ||||
\(945\) | 26.1288 | + | 14.7983i | 0.849969 | + | 0.481389i | ||||
\(946\) | −25.5592 | + | 10.4474i | −0.831003 | + | 0.339673i | ||||
\(947\) | −33.3248 | + | 19.2401i | −1.08291 | + | 0.625219i | −0.931680 | − | 0.363279i | \(-0.881657\pi\) |
−0.151231 | + | 0.988498i | \(0.548324\pi\) | |||||||
\(948\) | −7.62650 | + | 12.1579i | −0.247697 | + | 0.394872i | ||||
\(949\) | −12.1389 | − | 7.00842i | −0.394046 | − | 0.227503i | ||||
\(950\) | 1.14070 | − | 1.47229i | 0.0370091 | − | 0.0477675i | ||||
\(951\) | 4.60773 | − | 4.36279i | 0.149416 | − | 0.141473i | ||||
\(952\) | −2.14909 | + | 1.08858i | −0.0696525 | + | 0.0352812i | ||||
\(953\) | 37.1213i | 1.20248i | 0.799070 | + | 0.601238i | \(0.205326\pi\) | ||||
−0.799070 | + | 0.601238i | \(0.794674\pi\) | |||||||
\(954\) | −28.4062 | − | 24.6026i | −0.919686 | − | 0.796539i | ||||
\(955\) | −26.6737 | + | 46.2002i | −0.863140 | + | 1.49500i | ||||
\(956\) | 3.00958 | + | 11.6669i | 0.0973368 | + | 0.377334i | ||||
\(957\) | 5.82414 | − | 19.5815i | 0.188268 | − | 0.632981i | ||||
\(958\) | 11.7237 | + | 28.6818i | 0.378775 | + | 0.926666i | ||||
\(959\) | 35.1071 | − | 42.0871i | 1.13367 | − | 1.35906i | ||||
\(960\) | 30.2194 | + | 1.67374i | 0.975328 | + | 0.0540198i | ||||
\(961\) | 24.7469 | + | 42.8628i | 0.798286 | + | 1.38267i | ||||
\(962\) | −2.38954 | − | 0.325953i | −0.0770418 | − | 0.0105091i | ||||
\(963\) | −7.25172 | + | 11.1122i | −0.233683 | + | 0.358085i | ||||
\(964\) | −19.7286 | − | 5.48433i | −0.635415 | − | 0.176638i | ||||
\(965\) | 0.0289458 | 0.000931799 | ||||||||
\(966\) | 42.2355 | + | 3.07568i | 1.35891 | + | 0.0989585i | ||||
\(967\) | − | 28.7342i | − | 0.924030i | −0.886872 | − | 0.462015i | \(-0.847127\pi\) | ||
0.886872 | − | 0.462015i | \(-0.152873\pi\) | |||||||
\(968\) | 2.70296 | + | 23.0198i | 0.0868765 | + | 0.739884i | ||||
\(969\) | 3.11772 | − | 0.744812i | 0.100156 | − | 0.0239268i | ||||
\(970\) | 12.9512 | + | 1.76665i | 0.415838 | + | 0.0567238i | ||||
\(971\) | 17.2557 | − | 9.96261i | 0.553763 | − | 0.319715i | −0.196875 | − | 0.980429i | \(-0.563079\pi\) |
0.750638 | + | 0.660713i | \(0.229746\pi\) | |||||||
\(972\) | −4.53057 | + | 30.8460i | −0.145318 | + | 0.989385i | ||||
\(973\) | 0.574998 | − | 3.31739i | 0.0184336 | − | 0.106351i | ||||
\(974\) | −14.3811 | + | 5.87828i | −0.460800 | + | 0.188352i | ||||
\(975\) | 0.176565 | − | 0.593635i | 0.00565460 | − | 0.0190115i | ||||
\(976\) | 9.07201 | − | 15.0562i | 0.290388 | − | 0.481938i | ||||
\(977\) | 11.6105 | + | 6.70332i | 0.371453 | + | 0.214458i | 0.674093 | − | 0.738647i | \(-0.264535\pi\) |
−0.302640 | + | 0.953105i | \(0.597868\pi\) | |||||||
\(978\) | −2.15841 | − | 21.7464i | −0.0690183 | − | 0.695373i | ||||
\(979\) | −8.84986 | −0.282843 | ||||||||
\(980\) | −27.7597 | + | 12.8256i | −0.886752 | + | 0.409700i | ||||
\(981\) | −24.3851 | − | 1.33266i | −0.778555 | − | 0.0425484i | ||||
\(982\) | 36.1680 | + | 28.0221i | 1.15417 | + | 0.894222i | ||||
\(983\) | −10.2774 | + | 17.8010i | −0.327799 | + | 0.567765i | −0.982075 | − | 0.188491i | \(-0.939640\pi\) |
0.654276 | + | 0.756256i | \(0.272974\pi\) | |||||||
\(984\) | −16.6482 | − | 2.89573i | −0.530726 | − | 0.0923126i | ||||
\(985\) | 7.08155 | + | 12.2656i | 0.225637 | + | 0.390814i | ||||
\(986\) | 2.96770 | − | 1.21305i | 0.0945107 | − | 0.0386313i | ||||
\(987\) | 11.4314 | + | 17.2040i | 0.363866 | + | 0.547608i | ||||
\(988\) | 12.5706 | + | 12.8077i | 0.399923 | + | 0.407467i | ||||
\(989\) | 38.0856 | + | 65.9661i | 1.21105 | + | 2.09760i | ||||
\(990\) | −15.2416 | − | 2.93392i | −0.484410 | − | 0.0932459i | ||||
\(991\) | 4.87181 | + | 2.81274i | 0.154758 | + | 0.0893497i | 0.575379 | − | 0.817887i | \(-0.304854\pi\) |
−0.420621 | + | 0.907236i | \(0.638188\pi\) | |||||||
\(992\) | −31.8281 | + | 39.5319i | −1.01054 | + | 1.25514i | ||||
\(993\) | 13.6177 | − | 12.8938i | 0.432144 | − | 0.409172i | ||||
\(994\) | 16.0733 | + | 17.6031i | 0.509813 | + | 0.558336i | ||||
\(995\) | − | 11.2743i | − | 0.357420i | ||||||
\(996\) | 14.6936 | + | 27.7507i | 0.465584 | + | 0.879314i | ||||
\(997\) | 2.03245 | + | 1.17343i | 0.0643683 | + | 0.0371631i | 0.531839 | − | 0.846846i | \(-0.321501\pi\) |
−0.467470 | + | 0.884009i | \(0.654835\pi\) | |||||||
\(998\) | −19.9080 | − | 2.71562i | −0.630176 | − | 0.0859613i | ||||
\(999\) | −5.34502 | − | 1.91297i | −0.169109 | − | 0.0605238i |
(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 | 168.2.v.a.11.20 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.11.9 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.431.18 | 56 | |||
7.2 | even | 3 | inner | 168.2.v.a.107.2 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.11.27 | yes | 56 | |
8.5 | even | 2 | 672.2.bd.a.431.17 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.431.3 | 56 | |||
21.2 | odd | 6 | inner | 168.2.v.a.107.27 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.431.4 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.11.2 | ✓ | 56 | |
28.23 | odd | 6 | 672.2.bd.a.527.4 | 56 | |||
56.37 | even | 6 | 672.2.bd.a.527.3 | 56 | |||
56.51 | odd | 6 | inner | 168.2.v.a.107.9 | yes | 56 | |
84.23 | even | 6 | 672.2.bd.a.527.17 | 56 | |||
168.107 | even | 6 | inner | 168.2.v.a.107.20 | yes | 56 | |
168.149 | odd | 6 | 672.2.bd.a.527.18 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.2 | ✓ | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.11.9 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.11.20 | yes | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.11.27 | yes | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.107.2 | yes | 56 | 7.2 | even | 3 | inner | |
168.2.v.a.107.9 | yes | 56 | 56.51 | odd | 6 | inner | |
168.2.v.a.107.20 | yes | 56 | 168.107 | even | 6 | inner | |
168.2.v.a.107.27 | yes | 56 | 21.2 | odd | 6 | inner | |
672.2.bd.a.431.3 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.431.4 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.431.17 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.431.18 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.527.3 | 56 | 56.37 | even | 6 | |||
672.2.bd.a.527.4 | 56 | 28.23 | odd | 6 | |||
672.2.bd.a.527.17 | 56 | 84.23 | even | 6 | |||
672.2.bd.a.527.18 | 56 | 168.149 | odd | 6 |