Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Character | \(\chi\) | \(=\) | 43.23 |
Dual form | 43.2.g.a.15.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{8}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.72039 | − | 2.15730i | −1.21650 | − | 1.52544i | −0.780051 | − | 0.625716i | \(-0.784807\pi\) |
−0.436450 | − | 0.899729i | \(-0.643764\pi\) | |||||||
\(3\) | −0.528255 | − | 1.34597i | −0.304988 | − | 0.777097i | −0.998399 | − | 0.0565549i | \(-0.981988\pi\) |
0.693412 | − | 0.720542i | \(-0.256107\pi\) | |||||||
\(4\) | −1.24917 | + | 5.47296i | −0.624584 | + | 2.73648i | ||||
\(5\) | 0.0684907 | − | 0.913945i | 0.0306300 | − | 0.408729i | −0.960723 | − | 0.277508i | \(-0.910491\pi\) |
0.991353 | − | 0.131220i | \(-0.0418895\pi\) | |||||||
\(6\) | −1.99486 | + | 3.45520i | −0.814399 | + | 1.41058i | ||||
\(7\) | −0.971539 | − | 1.68276i | −0.367207 | − | 0.636022i | 0.621920 | − | 0.783080i | \(-0.286353\pi\) |
−0.989128 | + | 0.147059i | \(0.953019\pi\) | |||||||
\(8\) | 8.98382 | − | 4.32638i | 3.17626 | − | 1.52961i | ||||
\(9\) | 0.666571 | − | 0.618487i | 0.222190 | − | 0.206162i | ||||
\(10\) | −2.08949 | + | 1.42459i | −0.660754 | + | 0.450495i | ||||
\(11\) | −0.100377 | − | 0.439781i | −0.0302648 | − | 0.132599i | 0.957539 | − | 0.288305i | \(-0.0930918\pi\) |
−0.987803 | + | 0.155706i | \(0.950235\pi\) | |||||||
\(12\) | 8.02633 | − | 1.20977i | 2.31700 | − | 0.349232i | ||||
\(13\) | 2.90116 | + | 1.97798i | 0.804637 | + | 0.548592i | 0.894346 | − | 0.447376i | \(-0.147641\pi\) |
−0.0897094 | + | 0.995968i | \(0.528594\pi\) | |||||||
\(14\) | −1.95879 | + | 4.99091i | −0.523508 | + | 1.33388i | ||||
\(15\) | −1.26632 | + | 0.390609i | −0.326963 | + | 0.100855i | ||||
\(16\) | −14.6735 | − | 7.06637i | −3.66837 | − | 1.76659i | ||||
\(17\) | 0.142476 | + | 1.90121i | 0.0345555 | + | 0.461111i | 0.987463 | + | 0.157850i | \(0.0504563\pi\) |
−0.952908 | + | 0.303261i | \(0.901925\pi\) | |||||||
\(18\) | −2.48103 | − | 0.373955i | −0.584784 | − | 0.0881420i | ||||
\(19\) | 2.97713 | + | 2.76237i | 0.683000 | + | 0.633731i | 0.943356 | − | 0.331781i | \(-0.107650\pi\) |
−0.260357 | + | 0.965513i | \(0.583840\pi\) | |||||||
\(20\) | 4.91643 | + | 1.51652i | 1.09935 | + | 0.339104i | ||||
\(21\) | −1.75172 | + | 2.19659i | −0.382257 | + | 0.479335i | ||||
\(22\) | −0.776053 | + | 0.973140i | −0.165455 | + | 0.207474i | ||||
\(23\) | −1.77211 | − | 0.546623i | −0.369510 | − | 0.113979i | 0.104438 | − | 0.994531i | \(-0.466696\pi\) |
−0.473949 | + | 0.880553i | \(0.657172\pi\) | |||||||
\(24\) | −10.5689 | − | 9.80653i | −2.15737 | − | 2.00175i | ||||
\(25\) | 4.11355 | + | 0.620018i | 0.822710 | + | 0.124004i | ||||
\(26\) | −0.724035 | − | 9.66157i | −0.141995 | − | 1.89479i | ||||
\(27\) | −5.09278 | − | 2.45255i | −0.980106 | − | 0.471994i | ||||
\(28\) | 10.4233 | − | 3.21515i | 1.96981 | − | 0.607607i | ||||
\(29\) | −1.90792 | + | 4.86129i | −0.354291 | + | 0.902719i | 0.636980 | + | 0.770880i | \(0.280183\pi\) |
−0.991271 | + | 0.131839i | \(0.957912\pi\) | |||||||
\(30\) | 3.02124 | + | 2.05984i | 0.551600 | + | 0.376074i | ||||
\(31\) | 0.920034 | − | 0.138673i | 0.165243 | − | 0.0249064i | −0.0658996 | − | 0.997826i | \(-0.520992\pi\) |
0.231143 | + | 0.972920i | \(0.425754\pi\) | |||||||
\(32\) | 5.56217 | + | 24.3695i | 0.983262 | + | 4.30795i | ||||
\(33\) | −0.538908 | + | 0.367421i | −0.0938118 | + | 0.0639598i | ||||
\(34\) | 3.85637 | − | 3.57819i | 0.661362 | − | 0.613654i | ||||
\(35\) | −1.60449 | + | 0.772681i | −0.271208 | + | 0.130607i | ||||
\(36\) | 2.55230 | + | 4.42071i | 0.425383 | + | 0.736785i | ||||
\(37\) | 0.277212 | − | 0.480145i | 0.0455734 | − | 0.0789354i | −0.842339 | − | 0.538948i | \(-0.818822\pi\) |
0.887912 | + | 0.460013i | \(0.152155\pi\) | |||||||
\(38\) | 0.837445 | − | 11.1749i | 0.135852 | − | 1.81281i | ||||
\(39\) | 1.12975 | − | 4.94975i | 0.180904 | − | 0.792594i | ||||
\(40\) | −3.33877 | − | 8.50704i | −0.527905 | − | 1.34508i | ||||
\(41\) | 0.111290 | + | 0.139553i | 0.0173806 | + | 0.0217945i | 0.790446 | − | 0.612532i | \(-0.209849\pi\) |
−0.773065 | + | 0.634327i | \(0.781277\pi\) | |||||||
\(42\) | 7.75235 | 1.19621 | ||||||||
\(43\) | −6.30773 | + | 1.79236i | −0.961920 | + | 0.273333i | ||||
\(44\) | 2.53229 | 0.381757 | ||||||||
\(45\) | −0.519610 | − | 0.651570i | −0.0774588 | − | 0.0971303i | ||||
\(46\) | 1.86949 | + | 4.76338i | 0.275641 | + | 0.702323i | ||||
\(47\) | 1.72810 | − | 7.57131i | 0.252069 | − | 1.10439i | −0.677436 | − | 0.735581i | \(-0.736909\pi\) |
0.929506 | − | 0.368807i | \(-0.120234\pi\) | |||||||
\(48\) | −1.75980 | + | 23.4829i | −0.254005 | + | 3.38946i | ||||
\(49\) | 1.61222 | − | 2.79245i | 0.230317 | − | 0.398922i | ||||
\(50\) | −5.73935 | − | 9.94085i | −0.811667 | − | 1.40585i | ||||
\(51\) | 2.48371 | − | 1.19609i | 0.347789 | − | 0.167486i | ||||
\(52\) | −14.4494 | + | 13.4071i | −2.00377 | + | 1.85923i | ||||
\(53\) | −8.52328 | + | 5.81107i | −1.17076 | + | 0.798212i | −0.982928 | − | 0.183989i | \(-0.941099\pi\) |
−0.187834 | + | 0.982201i | \(0.560147\pi\) | |||||||
\(54\) | 3.47068 | + | 15.2060i | 0.472299 | + | 2.06928i | ||||
\(55\) | −0.408811 | + | 0.0616183i | −0.0551240 | + | 0.00830861i | ||||
\(56\) | −16.0084 | − | 10.9143i | −2.13921 | − | 1.45849i | ||||
\(57\) | 2.14539 | − | 5.46636i | 0.284164 | − | 0.724037i | ||||
\(58\) | 13.7696 | − | 4.24737i | 1.80804 | − | 0.557707i | ||||
\(59\) | 9.19536 | + | 4.42825i | 1.19713 | + | 0.576509i | 0.922857 | − | 0.385142i | \(-0.125848\pi\) |
0.274276 | + | 0.961651i | \(0.411562\pi\) | |||||||
\(60\) | −0.555938 | − | 7.41848i | −0.0717713 | − | 0.957722i | ||||
\(61\) | −5.55516 | − | 0.837306i | −0.711266 | − | 0.107206i | −0.216563 | − | 0.976269i | \(-0.569485\pi\) |
−0.494702 | + | 0.869063i | \(0.664723\pi\) | |||||||
\(62\) | −1.88198 | − | 1.74622i | −0.239012 | − | 0.221770i | ||||
\(63\) | −1.68836 | − | 0.520791i | −0.212714 | − | 0.0656135i | ||||
\(64\) | 22.6945 | − | 28.4580i | 2.83681 | − | 3.55725i | ||||
\(65\) | 2.00646 | − | 2.51603i | 0.248871 | − | 0.312075i | ||||
\(66\) | 1.71977 | + | 0.530479i | 0.211689 | + | 0.0652975i | ||||
\(67\) | −0.807046 | − | 0.748830i | −0.0985964 | − | 0.0914841i | 0.629335 | − | 0.777134i | \(-0.283327\pi\) |
−0.727931 | + | 0.685650i | \(0.759518\pi\) | |||||||
\(68\) | −10.5832 | − | 1.59516i | −1.28340 | − | 0.193442i | ||||
\(69\) | 0.200386 | + | 2.67396i | 0.0241236 | + | 0.321907i | ||||
\(70\) | 4.42726 | + | 2.13205i | 0.529158 | + | 0.254829i | ||||
\(71\) | −5.41606 | + | 1.67063i | −0.642768 | + | 0.198268i | −0.598968 | − | 0.800773i | \(-0.704422\pi\) |
−0.0437996 | + | 0.999040i | \(0.513946\pi\) | |||||||
\(72\) | 3.31254 | − | 8.44022i | 0.390387 | − | 0.994690i | ||||
\(73\) | 11.7207 | + | 7.99101i | 1.37180 | + | 0.935277i | 0.999976 | + | 0.00697295i | \(0.00221958\pi\) |
0.371823 | + | 0.928304i | \(0.378733\pi\) | |||||||
\(74\) | −1.51273 | + | 0.228008i | −0.175852 | + | 0.0265054i | ||||
\(75\) | −1.33848 | − | 5.86425i | −0.154554 | − | 0.677145i | ||||
\(76\) | −18.8373 | + | 12.8430i | −2.16078 | + | 1.47320i | ||||
\(77\) | −0.642524 | + | 0.596175i | −0.0732224 | + | 0.0679404i | ||||
\(78\) | −12.6217 | + | 6.07830i | −1.42913 | + | 0.688232i | ||||
\(79\) | 1.13115 | + | 1.95921i | 0.127264 | + | 0.220429i | 0.922616 | − | 0.385720i | \(-0.126047\pi\) |
−0.795351 | + | 0.606149i | \(0.792714\pi\) | |||||||
\(80\) | −7.46327 | + | 12.9268i | −0.834419 | + | 1.44526i | ||||
\(81\) | −0.406922 | + | 5.43000i | −0.0452136 | + | 0.603334i | ||||
\(82\) | 0.109596 | − | 0.480173i | 0.0121029 | − | 0.0530262i | ||||
\(83\) | 5.11608 | + | 13.0356i | 0.561563 | + | 1.43084i | 0.876349 | + | 0.481676i | \(0.159972\pi\) |
−0.314786 | + | 0.949163i | \(0.601933\pi\) | |||||||
\(84\) | −9.83365 | − | 12.3310i | −1.07294 | − | 1.34542i | ||||
\(85\) | 1.74736 | 0.189528 | ||||||||
\(86\) | 14.7184 | + | 10.5241i | 1.58713 | + | 1.13484i | ||||
\(87\) | 7.55102 | 0.809554 | ||||||||
\(88\) | −2.80443 | − | 3.51664i | −0.298953 | − | 0.374876i | ||||
\(89\) | 0.143414 | + | 0.365414i | 0.0152019 | + | 0.0387338i | 0.938273 | − | 0.345895i | \(-0.112425\pi\) |
−0.923071 | + | 0.384629i | \(0.874329\pi\) | |||||||
\(90\) | −0.511702 | + | 2.24191i | −0.0539381 | + | 0.236318i | ||||
\(91\) | 0.509861 | − | 6.80362i | 0.0534480 | − | 0.713213i | ||||
\(92\) | 5.20531 | − | 9.01586i | 0.542691 | − | 0.939969i | ||||
\(93\) | −0.672662 | − | 1.16508i | −0.0697518 | − | 0.120814i | ||||
\(94\) | −19.3066 | + | 9.29758i | −1.99133 | + | 0.958972i | ||||
\(95\) | 2.72856 | − | 2.53173i | 0.279944 | − | 0.259750i | ||||
\(96\) | 29.8623 | − | 20.3598i | 3.04781 | − | 2.07796i | ||||
\(97\) | −3.76302 | − | 16.4869i | −0.382077 | − | 1.67399i | −0.690963 | − | 0.722891i | \(-0.742813\pi\) |
0.308885 | − | 0.951099i | \(-0.400044\pi\) | |||||||
\(98\) | −8.79782 | + | 1.32606i | −0.888714 | + | 0.133952i | ||||
\(99\) | −0.338908 | − | 0.231063i | −0.0340615 | − | 0.0232227i | ||||
\(100\) | −8.53185 | + | 21.7388i | −0.853185 | + | 2.17388i | ||||
\(101\) | 5.90279 | − | 1.82077i | 0.587349 | − | 0.181173i | 0.0131846 | − | 0.999913i | \(-0.495803\pi\) |
0.574165 | + | 0.818740i | \(0.305327\pi\) | |||||||
\(102\) | −6.85328 | − | 3.30037i | −0.678576 | − | 0.326785i | ||||
\(103\) | 0.712752 | + | 9.51101i | 0.0702295 | + | 0.937148i | 0.915373 | + | 0.402608i | \(0.131896\pi\) |
−0.845143 | + | 0.534540i | \(0.820485\pi\) | |||||||
\(104\) | 34.6210 | + | 5.21827i | 3.39487 | + | 0.511694i | ||||
\(105\) | 1.88758 | + | 1.75142i | 0.184209 | + | 0.170921i | ||||
\(106\) | 27.1996 | + | 8.38997i | 2.64186 | + | 0.814906i | ||||
\(107\) | −2.82868 | + | 3.54705i | −0.273459 | + | 0.342906i | −0.899530 | − | 0.436860i | \(-0.856091\pi\) |
0.626071 | + | 0.779766i | \(0.284662\pi\) | |||||||
\(108\) | 19.7845 | − | 24.8089i | 1.90376 | − | 2.38724i | ||||
\(109\) | −15.3056 | − | 4.72117i | −1.46601 | − | 0.452206i | −0.543909 | − | 0.839144i | \(-0.683056\pi\) |
−0.922106 | + | 0.386939i | \(0.873533\pi\) | |||||||
\(110\) | 0.836244 | + | 0.775921i | 0.0797327 | + | 0.0739812i | ||||
\(111\) | −0.792700 | − | 0.119480i | −0.0752398 | − | 0.0113406i | ||||
\(112\) | 2.36488 | + | 31.5571i | 0.223460 | + | 2.98187i | ||||
\(113\) | −11.7135 | − | 5.64091i | −1.10191 | − | 0.530652i | −0.207652 | − | 0.978203i | \(-0.566582\pi\) |
−0.894258 | + | 0.447551i | \(0.852296\pi\) | |||||||
\(114\) | −15.4835 | + | 4.77603i | −1.45016 | + | 0.447316i | ||||
\(115\) | −0.620957 | + | 1.58217i | −0.0579045 | + | 0.147538i | ||||
\(116\) | −24.2223 | − | 16.5145i | −2.24899 | − | 1.53333i | ||||
\(117\) | 3.15718 | − | 0.475869i | 0.291882 | − | 0.0439941i | ||||
\(118\) | −6.26654 | − | 27.4555i | −0.576882 | − | 2.52748i | ||||
\(119\) | 3.06085 | − | 2.08685i | 0.280588 | − | 0.191301i | ||||
\(120\) | −9.68651 | + | 8.98776i | −0.884253 | + | 0.820467i | ||||
\(121\) | 9.72733 | − | 4.68443i | 0.884302 | − | 0.425858i | ||||
\(122\) | 7.75074 | + | 13.4247i | 0.701719 | + | 1.21541i | ||||
\(123\) | 0.129045 | − | 0.223513i | 0.0116356 | − | 0.0201535i | ||||
\(124\) | −0.390326 | + | 5.20854i | −0.0350523 | + | 0.467741i | ||||
\(125\) | 1.86811 | − | 8.18474i | 0.167089 | − | 0.732065i | ||||
\(126\) | 1.78114 | + | 4.53828i | 0.158677 | + | 0.404302i | ||||
\(127\) | −8.20396 | − | 10.2874i | −0.727983 | − | 0.912862i | 0.270777 | − | 0.962642i | \(-0.412719\pi\) |
−0.998760 | + | 0.0497798i | \(0.984148\pi\) | |||||||
\(128\) | −50.4437 | −4.45864 | ||||||||
\(129\) | 5.74456 | + | 7.54319i | 0.505780 | + | 0.664141i | ||||
\(130\) | −8.87974 | −0.778805 | ||||||||
\(131\) | 1.89745 | + | 2.37933i | 0.165781 | + | 0.207883i | 0.857782 | − | 0.514014i | \(-0.171842\pi\) |
−0.692001 | + | 0.721897i | \(0.743271\pi\) | |||||||
\(132\) | −1.33770 | − | 3.40839i | −0.116431 | − | 0.296662i | ||||
\(133\) | 1.75600 | − | 7.69353i | 0.152264 | − | 0.667113i | ||||
\(134\) | −0.227017 | + | 3.02933i | −0.0196112 | + | 0.261694i | ||||
\(135\) | −2.59031 | + | 4.48654i | −0.222938 | + | 0.386140i | ||||
\(136\) | 9.50533 | + | 16.4637i | 0.815075 | + | 1.41175i | ||||
\(137\) | 10.9381 | − | 5.26750i | 0.934503 | − | 0.450033i | 0.0962759 | − | 0.995355i | \(-0.469307\pi\) |
0.838227 | + | 0.545322i | \(0.183593\pi\) | |||||||
\(138\) | 5.42381 | − | 5.03256i | 0.461705 | − | 0.428400i | ||||
\(139\) | −3.71295 | + | 2.53144i | −0.314928 | + | 0.214714i | −0.710459 | − | 0.703738i | \(-0.751513\pi\) |
0.395531 | + | 0.918452i | \(0.370560\pi\) | |||||||
\(140\) | −2.22458 | − | 9.74651i | −0.188011 | − | 0.823730i | ||||
\(141\) | −11.1036 | + | 1.67360i | −0.935095 | + | 0.140943i | ||||
\(142\) | 12.9218 | + | 8.80994i | 1.08437 | + | 0.739314i | ||||
\(143\) | 0.578666 | − | 1.47442i | 0.0483905 | − | 0.123297i | ||||
\(144\) | −14.1514 | + | 4.36512i | −1.17928 | + | 0.363760i | ||||
\(145\) | 4.31228 | + | 2.07668i | 0.358115 | + | 0.172459i | ||||
\(146\) | −2.92509 | − | 39.0327i | −0.242083 | − | 3.23037i | ||||
\(147\) | −4.61022 | − | 0.694879i | −0.380245 | − | 0.0573127i | ||||
\(148\) | 2.28153 | + | 2.11695i | 0.187541 | + | 0.174012i | ||||
\(149\) | −8.97878 | − | 2.76959i | −0.735571 | − | 0.226893i | −0.0957367 | − | 0.995407i | \(-0.530521\pi\) |
−0.639834 | + | 0.768513i | \(0.720997\pi\) | |||||||
\(150\) | −10.3483 | + | 12.9763i | −0.844931 | + | 1.05951i | ||||
\(151\) | −5.17636 | + | 6.49094i | −0.421246 | + | 0.528226i | −0.946493 | − | 0.322724i | \(-0.895401\pi\) |
0.525247 | + | 0.850950i | \(0.323973\pi\) | |||||||
\(152\) | 38.6970 | + | 11.9365i | 3.13874 | + | 0.968174i | ||||
\(153\) | 1.27084 | + | 1.17917i | 0.102742 | + | 0.0953303i | ||||
\(154\) | 2.39152 | + | 0.360464i | 0.192714 | + | 0.0290470i | ||||
\(155\) | −0.0637256 | − | 0.850359i | −0.00511856 | − | 0.0683025i | ||||
\(156\) | 25.6785 | + | 12.3661i | 2.05593 | + | 0.990083i | ||||
\(157\) | −9.31783 | + | 2.87417i | −0.743644 | + | 0.229384i | −0.643348 | − | 0.765574i | \(-0.722455\pi\) |
−0.100296 | + | 0.994958i | \(0.531979\pi\) | |||||||
\(158\) | 2.28059 | − | 5.81085i | 0.181434 | − | 0.462286i | ||||
\(159\) | 12.3240 | + | 8.40236i | 0.977356 | + | 0.666350i | ||||
\(160\) | 22.6533 | − | 3.41444i | 1.79090 | − | 0.269935i | ||||
\(161\) | 0.801841 | + | 3.51309i | 0.0631939 | + | 0.276871i | ||||
\(162\) | 12.4142 | − | 8.46388i | 0.975354 | − | 0.664985i | ||||
\(163\) | −1.63792 | + | 1.51977i | −0.128292 | + | 0.119037i | −0.741709 | − | 0.670721i | \(-0.765985\pi\) |
0.613418 | + | 0.789759i | \(0.289794\pi\) | |||||||
\(164\) | −0.902789 | + | 0.434760i | −0.0704960 | + | 0.0339491i | ||||
\(165\) | 0.298893 | + | 0.517697i | 0.0232687 | + | 0.0403027i | ||||
\(166\) | 19.3200 | − | 33.4632i | 1.49952 | − | 2.59725i | ||||
\(167\) | −1.74279 | + | 23.2559i | −0.134861 | + | 1.79959i | 0.362431 | + | 0.932011i | \(0.381947\pi\) |
−0.497292 | + | 0.867583i | \(0.665672\pi\) | |||||||
\(168\) | −6.23387 | + | 27.3124i | −0.480953 | + | 2.10719i | ||||
\(169\) | −0.245104 | − | 0.624515i | −0.0188542 | − | 0.0480396i | ||||
\(170\) | −3.00614 | − | 3.76958i | −0.230561 | − | 0.289114i | ||||
\(171\) | 3.69296 | 0.282407 | ||||||||
\(172\) | −1.93013 | − | 36.7609i | −0.147171 | − | 2.80299i | ||||
\(173\) | −1.53451 | −0.116666 | −0.0583332 | − | 0.998297i | \(-0.518579\pi\) | ||||
−0.0583332 | + | 0.998297i | \(0.518579\pi\) | |||||||
\(174\) | −12.9907 | − | 16.2898i | −0.984824 | − | 1.23493i | ||||
\(175\) | −2.95314 | − | 7.52447i | −0.223236 | − | 0.568797i | ||||
\(176\) | −1.63477 | + | 7.16241i | −0.123226 | + | 0.539887i | ||||
\(177\) | 1.10281 | − | 14.7159i | 0.0828920 | − | 1.10612i | ||||
\(178\) | 0.541580 | − | 0.938044i | 0.0405931 | − | 0.0703094i | ||||
\(179\) | 3.26451 | + | 5.65429i | 0.244001 | + | 0.422621i | 0.961850 | − | 0.273577i | \(-0.0882068\pi\) |
−0.717850 | + | 0.696198i | \(0.754873\pi\) | |||||||
\(180\) | 4.21510 | − | 2.02988i | 0.314175 | − | 0.151299i | ||||
\(181\) | −13.9680 | + | 12.9604i | −1.03823 | + | 0.963336i | −0.999355 | − | 0.0359077i | \(-0.988568\pi\) |
−0.0388746 | + | 0.999244i | \(0.512377\pi\) | |||||||
\(182\) | −15.5546 | + | 10.6050i | −1.15299 | + | 0.786093i | ||||
\(183\) | 1.80755 | + | 7.91940i | 0.133618 | + | 0.585419i | ||||
\(184\) | −18.2852 | + | 2.75605i | −1.34800 | + | 0.203179i | ||||
\(185\) | −0.419840 | − | 0.286242i | −0.0308672 | − | 0.0210449i | ||||
\(186\) | −1.35620 | + | 3.45554i | −0.0994414 | + | 0.253372i | ||||
\(187\) | 0.821814 | − | 0.253496i | 0.0600970 | − | 0.0185375i | ||||
\(188\) | 39.2788 | + | 18.9157i | 2.86470 | + | 1.37957i | ||||
\(189\) | 0.820788 | + | 10.9527i | 0.0597035 | + | 0.796688i | ||||
\(190\) | −10.1559 | − | 1.53076i | −0.736787 | − | 0.111053i | ||||
\(191\) | 11.7580 | + | 10.9099i | 0.850781 | + | 0.789410i | 0.979325 | − | 0.202294i | \(-0.0648397\pi\) |
−0.128544 | + | 0.991704i | \(0.541030\pi\) | |||||||
\(192\) | −50.2922 | − | 15.5131i | −3.62952 | − | 1.11956i | ||||
\(193\) | −3.90963 | + | 4.90253i | −0.281422 | + | 0.352892i | −0.902372 | − | 0.430959i | \(-0.858176\pi\) |
0.620950 | + | 0.783850i | \(0.286747\pi\) | |||||||
\(194\) | −29.0933 | + | 36.4819i | −2.08878 | + | 2.61925i | ||||
\(195\) | −4.44642 | − | 1.37154i | −0.318415 | − | 0.0982180i | ||||
\(196\) | 13.2690 | + | 12.3119i | 0.947789 | + | 0.879419i | ||||
\(197\) | −10.7637 | − | 1.62237i | −0.766884 | − | 0.115589i | −0.246062 | − | 0.969254i | \(-0.579137\pi\) |
−0.520822 | + | 0.853665i | \(0.674375\pi\) | |||||||
\(198\) | 0.0845803 | + | 1.12865i | 0.00601086 | + | 0.0802094i | ||||
\(199\) | 4.32905 | + | 2.08476i | 0.306878 | + | 0.147785i | 0.580984 | − | 0.813915i | \(-0.302668\pi\) |
−0.274106 | + | 0.961699i | \(0.588382\pi\) | |||||||
\(200\) | 39.6378 | − | 12.2267i | 2.80282 | − | 0.864555i | ||||
\(201\) | −0.581577 | + | 1.48183i | −0.0410213 | + | 0.104520i | ||||
\(202\) | −14.0831 | − | 9.60167i | −0.990881 | − | 0.675571i | ||||
\(203\) | 10.0340 | − | 1.51238i | 0.704247 | − | 0.106148i | ||||
\(204\) | 3.44359 | + | 15.0874i | 0.241100 | + | 1.05633i | ||||
\(205\) | 0.135166 | − | 0.0921548i | 0.00944042 | − | 0.00643637i | ||||
\(206\) | 19.2919 | − | 17.9003i | 1.34413 | − | 1.24717i | ||||
\(207\) | −1.51932 | + | 0.731664i | −0.105600 | + | 0.0508542i | ||||
\(208\) | −28.5929 | − | 49.5244i | −1.98256 | − | 3.43390i | ||||
\(209\) | 0.916002 | − | 1.58656i | 0.0633612 | − | 0.109745i | ||||
\(210\) | 0.530964 | − | 7.08522i | 0.0366400 | − | 0.488927i | ||||
\(211\) | 4.43696 | − | 19.4396i | 0.305453 | − | 1.33828i | −0.556313 | − | 0.830973i | \(-0.687785\pi\) |
0.861766 | − | 0.507305i | \(-0.169358\pi\) | |||||||
\(212\) | −21.1568 | − | 53.9066i | −1.45305 | − | 3.70232i | ||||
\(213\) | 5.10968 | + | 6.40734i | 0.350110 | + | 0.439024i | ||||
\(214\) | 12.5185 | 0.855747 | ||||||||
\(215\) | 1.20610 | + | 5.88768i | 0.0822554 | + | 0.401536i | ||||
\(216\) | −56.3633 | −3.83504 | ||||||||
\(217\) | −1.12720 | − | 1.41347i | −0.0765195 | − | 0.0959524i | ||||
\(218\) | 16.1467 | + | 41.1412i | 1.09359 | + | 2.78643i | ||||
\(219\) | 4.56417 | − | 19.9969i | 0.308418 | − | 1.35127i | ||||
\(220\) | 0.173439 | − | 2.31438i | 0.0116932 | − | 0.156035i | ||||
\(221\) | −3.34720 | + | 5.79752i | −0.225157 | + | 0.389983i | ||||
\(222\) | 1.10600 | + | 1.91565i | 0.0742298 | + | 0.128570i | ||||
\(223\) | 1.34141 | − | 0.645989i | 0.0898274 | − | 0.0432586i | −0.388431 | − | 0.921478i | \(-0.626983\pi\) |
0.478258 | + | 0.878219i | \(0.341268\pi\) | |||||||
\(224\) | 35.6040 | − | 33.0357i | 2.37889 | − | 2.20729i | ||||
\(225\) | 3.12545 | − | 2.13089i | 0.208363 | − | 0.142060i | ||||
\(226\) | 7.98261 | + | 34.9741i | 0.530995 | + | 2.32644i | ||||
\(227\) | 24.3967 | − | 3.67721i | 1.61927 | − | 0.244065i | 0.724067 | − | 0.689730i | \(-0.242271\pi\) |
0.895200 | + | 0.445665i | \(0.147033\pi\) | |||||||
\(228\) | 27.2372 | + | 18.5700i | 1.80383 | + | 1.22983i | ||||
\(229\) | 5.63673 | − | 14.3622i | 0.372486 | − | 0.949078i | −0.614594 | − | 0.788844i | \(-0.710680\pi\) |
0.987079 | − | 0.160234i | \(-0.0512248\pi\) | |||||||
\(230\) | 4.48151 | − | 1.38236i | 0.295502 | − | 0.0911504i | ||||
\(231\) | 1.14185 | + | 0.549886i | 0.0751282 | + | 0.0361798i | ||||
\(232\) | 3.89142 | + | 51.9273i | 0.255484 | + | 3.40920i | ||||
\(233\) | −20.2723 | − | 3.05556i | −1.32808 | − | 0.200176i | −0.553606 | − | 0.832779i | \(-0.686749\pi\) |
−0.774476 | + | 0.632603i | \(0.781987\pi\) | |||||||
\(234\) | −6.45818 | − | 5.99232i | −0.422185 | − | 0.391730i | ||||
\(235\) | −6.80140 | − | 2.09795i | −0.443674 | − | 0.136855i | ||||
\(236\) | −35.7222 | + | 44.7942i | −2.32532 | + | 2.91585i | ||||
\(237\) | 2.03951 | − | 2.55746i | 0.132480 | − | 0.166125i | ||||
\(238\) | −9.76783 | − | 3.01298i | −0.633155 | − | 0.195302i | ||||
\(239\) | −9.45056 | − | 8.76884i | −0.611306 | − | 0.567209i | 0.312573 | − | 0.949894i | \(-0.398809\pi\) |
−0.923879 | + | 0.382685i | \(0.875000\pi\) | |||||||
\(240\) | 21.3415 | + | 3.21672i | 1.37759 | + | 0.207638i | ||||
\(241\) | −0.568011 | − | 7.57957i | −0.0365888 | − | 0.488243i | −0.985155 | − | 0.171665i | \(-0.945085\pi\) |
0.948567 | − | 0.316578i | \(-0.102534\pi\) | |||||||
\(242\) | −26.8406 | − | 12.9257i | −1.72538 | − | 0.830898i | ||||
\(243\) | −8.68070 | + | 2.67764i | −0.556867 | + | 0.171771i | ||||
\(244\) | 11.5219 | − | 29.3573i | 0.737612 | − | 1.87941i | ||||
\(245\) | −2.44172 | − | 1.66474i | −0.155996 | − | 0.106356i | ||||
\(246\) | −0.704193 | + | 0.106140i | −0.0448977 | + | 0.00676724i | ||||
\(247\) | 3.17321 | + | 13.9028i | 0.201907 | + | 0.884611i | ||||
\(248\) | 7.66547 | − | 5.22623i | 0.486758 | − | 0.331866i | ||||
\(249\) | 14.8429 | − | 13.7722i | 0.940630 | − | 0.872777i | ||||
\(250\) | −20.8709 | + | 10.0509i | −1.31999 | + | 0.635673i | ||||
\(251\) | −7.99653 | − | 13.8504i | −0.504736 | − | 0.874229i | −0.999985 | − | 0.00547772i | \(-0.998256\pi\) |
0.495249 | − | 0.868751i | \(-0.335077\pi\) | |||||||
\(252\) | 4.95932 | − | 8.58979i | 0.312408 | − | 0.541106i | ||||
\(253\) | −0.0625153 | + | 0.834208i | −0.00393030 | + | 0.0524462i | ||||
\(254\) | −8.07910 | + | 35.3969i | −0.506928 | + | 2.22100i | ||||
\(255\) | −0.923050 | − | 2.35189i | −0.0578036 | − | 0.147281i | ||||
\(256\) | 41.3940 | + | 51.9064i | 2.58712 | + | 3.24415i | ||||
\(257\) | −2.70015 | −0.168431 | −0.0842154 | − | 0.996448i | \(-0.526838\pi\) | ||||
−0.0842154 | + | 0.996448i | \(0.526838\pi\) | |||||||
\(258\) | 6.39007 | − | 25.3700i | 0.397828 | − | 1.57947i | ||||
\(259\) | −1.07729 | −0.0669395 | ||||||||
\(260\) | 11.2637 | + | 14.1242i | 0.698545 | + | 0.875948i | ||||
\(261\) | 1.73489 | + | 4.42042i | 0.107387 | + | 0.273617i | ||||
\(262\) | 1.86857 | − | 8.18675i | 0.115441 | − | 0.505779i | ||||
\(263\) | 1.38065 | − | 18.4235i | 0.0851345 | − | 1.13604i | −0.777048 | − | 0.629442i | \(-0.783284\pi\) |
0.862182 | − | 0.506599i | \(-0.169097\pi\) | |||||||
\(264\) | −3.25185 | + | 5.63237i | −0.200137 | + | 0.346648i | ||||
\(265\) | 4.72723 | + | 8.18781i | 0.290392 | + | 0.502973i | ||||
\(266\) | −19.6183 | + | 9.44767i | −1.20287 | + | 0.579274i | ||||
\(267\) | 0.416077 | − | 0.386063i | 0.0254635 | − | 0.0236267i | ||||
\(268\) | 5.10645 | − | 3.48152i | 0.311926 | − | 0.212668i | ||||
\(269\) | −2.87587 | − | 12.6000i | −0.175345 | − | 0.768236i | −0.983740 | − | 0.179596i | \(-0.942521\pi\) |
0.808395 | − | 0.588640i | \(-0.200336\pi\) | |||||||
\(270\) | 14.1352 | − | 2.13054i | 0.860239 | − | 0.129660i | ||||
\(271\) | −12.7456 | − | 8.68981i | −0.774240 | − | 0.527868i | 0.110543 | − | 0.993871i | \(-0.464741\pi\) |
−0.884783 | + | 0.466003i | \(0.845694\pi\) | |||||||
\(272\) | 11.3440 | − | 28.9041i | 0.687832 | − | 1.75257i | ||||
\(273\) | −9.42681 | + | 2.90779i | −0.570537 | + | 0.175987i | ||||
\(274\) | −30.1814 | − | 14.5346i | −1.82332 | − | 0.878066i | ||||
\(275\) | −0.140234 | − | 1.87130i | −0.00845645 | − | 0.112843i | ||||
\(276\) | −14.8848 | − | 2.24353i | −0.895961 | − | 0.135044i | ||||
\(277\) | 17.5390 | + | 16.2738i | 1.05382 | + | 0.977798i | 0.999785 | − | 0.0207410i | \(-0.00660253\pi\) |
0.0540310 | + | 0.998539i | \(0.482793\pi\) | |||||||
\(278\) | 11.8488 | + | 3.65488i | 0.710645 | + | 0.219205i | ||||
\(279\) | 0.527501 | − | 0.661465i | 0.0315806 | − | 0.0396009i | ||||
\(280\) | −11.0715 | + | 13.8833i | −0.661650 | + | 0.829683i | ||||
\(281\) | 9.50488 | + | 2.93187i | 0.567013 | + | 0.174900i | 0.564990 | − | 0.825097i | \(-0.308880\pi\) |
0.00202302 | + | 0.999998i | \(0.499356\pi\) | |||||||
\(282\) | 22.7131 | + | 21.0747i | 1.35254 | + | 1.25498i | ||||
\(283\) | 13.7960 | + | 2.07941i | 0.820084 | + | 0.123608i | 0.545666 | − | 0.838003i | \(-0.316277\pi\) |
0.274418 | + | 0.961610i | \(0.411515\pi\) | |||||||
\(284\) | −2.37774 | − | 31.7288i | −0.141093 | − | 1.88276i | ||||
\(285\) | −4.84901 | − | 2.33516i | −0.287231 | − | 0.138323i | ||||
\(286\) | −4.17630 | + | 1.28822i | −0.246950 | + | 0.0761739i | ||||
\(287\) | 0.126711 | − | 0.322855i | 0.00747953 | − | 0.0190575i | ||||
\(288\) | 18.7798 | + | 12.8038i | 1.10661 | + | 0.754474i | ||||
\(289\) | 13.2158 | − | 1.99197i | 0.777402 | − | 0.117174i | ||||
\(290\) | −2.93877 | − | 12.8756i | −0.172571 | − | 0.756081i | ||||
\(291\) | −20.2030 | + | 13.7742i | −1.18432 | + | 0.807458i | ||||
\(292\) | −58.3755 | + | 54.1646i | −3.41617 | + | 3.16974i | ||||
\(293\) | 15.4513 | − | 7.44096i | 0.902676 | − | 0.434706i | 0.0758211 | − | 0.997121i | \(-0.475842\pi\) |
0.826855 | + | 0.562416i | \(0.190128\pi\) | |||||||
\(294\) | 6.43232 | + | 11.1411i | 0.375141 | + | 0.649763i | ||||
\(295\) | 4.67697 | − | 8.10076i | 0.272304 | − | 0.471644i | ||||
\(296\) | 0.413132 | − | 5.51286i | 0.0240128 | − | 0.320429i | ||||
\(297\) | −0.567388 | + | 2.48589i | −0.0329232 | + | 0.144246i | ||||
\(298\) | 9.47219 | + | 24.1347i | 0.548709 | + | 1.39809i | ||||
\(299\) | −4.05996 | − | 5.09103i | −0.234794 | − | 0.294422i | ||||
\(300\) | 33.7668 | 1.94953 | ||||||||
\(301\) | 9.14432 | + | 8.87301i | 0.527070 | + | 0.511432i | ||||
\(302\) | 22.9083 | 1.31822 | ||||||||
\(303\) | −5.56888 | − | 6.98315i | −0.319924 | − | 0.401172i | ||||
\(304\) | −24.1648 | − | 61.5710i | −1.38595 | − | 3.53134i | ||||
\(305\) | −1.14573 | + | 5.01977i | −0.0656042 | + | 0.287431i | ||||
\(306\) | 0.357480 | − | 4.77023i | 0.0204357 | − | 0.272696i | ||||
\(307\) | −10.5428 | + | 18.2606i | −0.601707 | + | 1.04219i | 0.390855 | + | 0.920452i | \(0.372179\pi\) |
−0.992563 | + | 0.121736i | \(0.961154\pi\) | |||||||
\(308\) | −2.46022 | − | 4.26123i | −0.140184 | − | 0.242806i | ||||
\(309\) | 12.4250 | − | 5.98358i | 0.706835 | − | 0.340394i | ||||
\(310\) | −1.72485 | + | 1.60043i | −0.0979648 | + | 0.0908981i | ||||
\(311\) | 5.32355 | − | 3.62953i | 0.301871 | − | 0.205812i | −0.402906 | − | 0.915242i | \(-0.632000\pi\) |
0.704776 | + | 0.709430i | \(0.251047\pi\) | |||||||
\(312\) | −11.2650 | − | 49.3554i | −0.637758 | − | 2.79420i | ||||
\(313\) | −6.81682 | + | 1.02747i | −0.385310 | + | 0.0580761i | −0.338841 | − | 0.940844i | \(-0.610035\pi\) |
−0.0464687 | + | 0.998920i | \(0.514797\pi\) | |||||||
\(314\) | 22.2308 | + | 15.1567i | 1.25456 | + | 0.855341i | ||||
\(315\) | −0.591612 | + | 1.50740i | −0.0333335 | + | 0.0849325i | ||||
\(316\) | −12.1357 | + | 3.74336i | −0.682686 | + | 0.210581i | ||||
\(317\) | −1.03153 | − | 0.496760i | −0.0579367 | − | 0.0279008i | 0.404691 | − | 0.914453i | \(-0.367379\pi\) |
−0.462628 | + | 0.886553i | \(0.653093\pi\) | |||||||
\(318\) | −3.07567 | − | 41.0419i | −0.172475 | − | 2.30152i | ||||
\(319\) | 2.32941 | + | 0.351103i | 0.130422 | + | 0.0196580i | ||||
\(320\) | −24.4547 | − | 22.6907i | −1.36706 | − | 1.26845i | ||||
\(321\) | 6.26849 | + | 1.93357i | 0.349873 | + | 0.107922i | ||||
\(322\) | 6.19933 | − | 7.77371i | 0.345475 | − | 0.433212i | ||||
\(323\) | −4.82767 | + | 6.05371i | −0.268619 | + | 0.336837i | ||||
\(324\) | −29.2099 | − | 9.01006i | −1.62277 | − | 0.500559i | ||||
\(325\) | 10.7077 | + | 9.93527i | 0.593955 | + | 0.551110i | ||||
\(326\) | 6.09646 | + | 0.918893i | 0.337652 | + | 0.0508928i | ||||
\(327\) | 1.73073 | + | 23.0949i | 0.0957093 | + | 1.27715i | ||||
\(328\) | 1.60357 | + | 0.772238i | 0.0885423 | + | 0.0426397i | ||||
\(329\) | −14.4196 | + | 4.44785i | −0.794977 | + | 0.245218i | ||||
\(330\) | 0.602617 | − | 1.53544i | 0.0331730 | − | 0.0845234i | ||||
\(331\) | −8.16250 | − | 5.56510i | −0.448651 | − | 0.305885i | 0.317835 | − | 0.948146i | \(-0.397044\pi\) |
−0.766486 | + | 0.642261i | \(0.777997\pi\) | |||||||
\(332\) | −77.7340 | + | 11.7165i | −4.26621 | + | 0.643027i | ||||
\(333\) | −0.112182 | − | 0.491503i | −0.00614755 | − | 0.0269342i | ||||
\(334\) | 53.1683 | − | 36.2495i | 2.90924 | − | 1.98349i | ||||
\(335\) | −0.739664 | + | 0.686308i | −0.0404122 | + | 0.0374970i | ||||
\(336\) | 41.2257 | − | 19.8532i | 2.24905 | − | 1.08308i | ||||
\(337\) | 11.5821 | + | 20.0608i | 0.630919 | + | 1.09278i | 0.987364 | + | 0.158468i | \(0.0506554\pi\) |
−0.356445 | + | 0.934316i | \(0.616011\pi\) | |||||||
\(338\) | −0.925594 | + | 1.60318i | −0.0503457 | + | 0.0872012i | ||||
\(339\) | −1.40480 | + | 18.7458i | −0.0762985 | + | 1.01813i | ||||
\(340\) | −2.18274 | + | 9.56323i | −0.118376 | + | 0.518639i | ||||
\(341\) | −0.153336 | − | 0.390694i | −0.00830362 | − | 0.0211573i | ||||
\(342\) | −6.35333 | − | 7.96683i | −0.343549 | − | 0.430797i | ||||
\(343\) | −19.8669 | −1.07271 | ||||||||
\(344\) | −48.9131 | + | 43.3919i | −2.63722 | + | 2.33954i | ||||
\(345\) | 2.45758 | 0.132312 | ||||||||
\(346\) | 2.63996 | + | 3.31040i | 0.141925 | + | 0.177968i | ||||
\(347\) | −6.10329 | − | 15.5509i | −0.327642 | − | 0.834818i | −0.995864 | − | 0.0908560i | \(-0.971040\pi\) |
0.668222 | − | 0.743962i | \(-0.267056\pi\) | |||||||
\(348\) | −9.43249 | + | 41.3264i | −0.505635 | + | 2.21533i | ||||
\(349\) | −1.53538 | + | 20.4883i | −0.0821871 | + | 1.09671i | 0.791806 | + | 0.610773i | \(0.209141\pi\) |
−0.873993 | + | 0.485938i | \(0.838478\pi\) | |||||||
\(350\) | −11.1520 | + | 19.3159i | −0.596100 | + | 1.03248i | ||||
\(351\) | −9.92386 | − | 17.1886i | −0.529697 | − | 0.917461i | ||||
\(352\) | 10.1589 | − | 4.89227i | 0.541472 | − | 0.260759i | ||||
\(353\) | −7.38749 | + | 6.85459i | −0.393196 | + | 0.364833i | −0.851853 | − | 0.523781i | \(-0.824521\pi\) |
0.458657 | + | 0.888613i | \(0.348331\pi\) | |||||||
\(354\) | −33.6440 | + | 22.9381i | −1.78816 | + | 1.21915i | ||||
\(355\) | 1.15592 | + | 5.06440i | 0.0613497 | + | 0.268791i | ||||
\(356\) | −2.17905 | + | 0.328438i | −0.115489 | + | 0.0174072i | ||||
\(357\) | −4.42575 | − | 3.01742i | −0.234235 | − | 0.159699i | ||||
\(358\) | 6.58179 | − | 16.7701i | 0.347858 | − | 0.886329i | ||||
\(359\) | 14.5648 | − | 4.49265i | 0.768701 | − | 0.237113i | 0.114489 | − | 0.993424i | \(-0.463477\pi\) |
0.654211 | + | 0.756312i | \(0.273001\pi\) | |||||||
\(360\) | −7.48702 | − | 3.60556i | −0.394601 | − | 0.190030i | ||||
\(361\) | −0.187276 | − | 2.49903i | −0.00985663 | − | 0.131528i | ||||
\(362\) | 51.9898 | + | 7.83620i | 2.73252 | + | 0.411862i | ||||
\(363\) | −11.4436 | − | 10.6181i | −0.600634 | − | 0.557307i | ||||
\(364\) | 36.5991 | + | 11.2893i | 1.91831 | + | 0.591721i | ||||
\(365\) | 8.10610 | − | 10.1647i | 0.424292 | − | 0.532046i | ||||
\(366\) | 13.9749 | − | 17.5239i | 0.730477 | − | 0.915989i | ||||
\(367\) | −11.2654 | − | 3.47491i | −0.588047 | − | 0.181389i | −0.0135684 | − | 0.999908i | \(-0.504319\pi\) |
−0.574479 | + | 0.818519i | \(0.694795\pi\) | |||||||
\(368\) | 22.1403 | + | 20.5432i | 1.15415 | + | 1.07089i | ||||
\(369\) | 0.160495 | + | 0.0241907i | 0.00835501 | + | 0.00125932i | ||||
\(370\) | 0.104778 | + | 1.39817i | 0.00544717 | + | 0.0726874i | ||||
\(371\) | 18.0593 | + | 8.69691i | 0.937593 | + | 0.451521i | ||||
\(372\) | 7.21673 | − | 2.22607i | 0.374170 | − | 0.115416i | ||||
\(373\) | −4.44434 | + | 11.3240i | −0.230119 | + | 0.586335i | −0.998563 | − | 0.0535823i | \(-0.982936\pi\) |
0.768444 | + | 0.639917i | \(0.221031\pi\) | |||||||
\(374\) | −1.96071 | − | 1.33679i | −0.101386 | − | 0.0691238i | ||||
\(375\) | −12.0033 | + | 1.80920i | −0.619846 | + | 0.0934267i | ||||
\(376\) | −17.2314 | − | 75.4957i | −0.888642 | − | 3.89339i | ||||
\(377\) | −15.1507 | + | 10.3296i | −0.780300 | + | 0.531999i | ||||
\(378\) | 22.2161 | − | 20.6135i | 1.14267 | − | 1.06025i | ||||
\(379\) | 7.27433 | − | 3.50313i | 0.373657 | − | 0.179944i | −0.237624 | − | 0.971357i | \(-0.576369\pi\) |
0.611281 | + | 0.791413i | \(0.290654\pi\) | |||||||
\(380\) | 10.4477 | + | 18.0959i | 0.535953 | + | 0.928298i | ||||
\(381\) | −9.51281 | + | 16.4767i | −0.487356 | + | 0.844125i | ||||
\(382\) | 3.30745 | − | 44.1349i | 0.169224 | − | 2.25814i | ||||
\(383\) | 5.78751 | − | 25.3567i | 0.295728 | − | 1.29567i | −0.580693 | − | 0.814123i | \(-0.697218\pi\) |
0.876421 | − | 0.481546i | \(-0.159925\pi\) | |||||||
\(384\) | 26.6471 | + | 67.8958i | 1.35983 | + | 3.46479i | ||||
\(385\) | 0.500864 | + | 0.628064i | 0.0255264 | + | 0.0320091i | ||||
\(386\) | 17.3023 | 0.880666 | ||||||||
\(387\) | −3.09599 | + | 5.09599i | −0.157378 | + | 0.259044i | ||||
\(388\) | 94.9328 | 4.81948 | ||||||||
\(389\) | −2.28337 | − | 2.86325i | −0.115771 | − | 0.145173i | 0.720569 | − | 0.693383i | \(-0.243881\pi\) |
−0.836340 | + | 0.548211i | \(0.815309\pi\) | |||||||
\(390\) | 4.69076 | + | 11.9519i | 0.237526 | + | 0.605206i | ||||
\(391\) | 0.786762 | − | 3.44703i | 0.0397883 | − | 0.174324i | ||||
\(392\) | 2.40271 | − | 32.0620i | 0.121355 | − | 1.61937i | ||||
\(393\) | 2.20017 | − | 3.81080i | 0.110984 | − | 0.192230i | ||||
\(394\) | 15.0179 | + | 26.0117i | 0.756590 | + | 1.31045i | ||||
\(395\) | 1.86809 | − | 0.899623i | 0.0939936 | − | 0.0452649i | ||||
\(396\) | 1.68795 | − | 1.56619i | 0.0848228 | − | 0.0787041i | ||||
\(397\) | 21.5184 | − | 14.6710i | 1.07998 | − | 0.736315i | 0.113620 | − | 0.993524i | \(-0.463755\pi\) |
0.966356 | + | 0.257209i | \(0.0828028\pi\) | |||||||
\(398\) | −2.95020 | − | 12.9257i | −0.147880 | − | 0.647905i | ||||
\(399\) | −11.2829 | + | 1.70062i | −0.564850 | + | 0.0851375i | ||||
\(400\) | −55.9787 | − | 38.1657i | −2.79894 | − | 1.90828i | ||||
\(401\) | −5.05268 | + | 12.8740i | −0.252319 | + | 0.642897i | −0.999771 | − | 0.0214185i | \(-0.993182\pi\) |
0.747452 | + | 0.664316i | \(0.231277\pi\) | |||||||
\(402\) | 4.19731 | − | 1.29470i | 0.209343 | − | 0.0645736i | ||||
\(403\) | 2.94346 | + | 1.41749i | 0.146624 | + | 0.0706104i | ||||
\(404\) | 2.59143 | + | 34.5802i | 0.128928 | + | 1.72043i | ||||
\(405\) | 4.93485 | + | 0.743809i | 0.245215 | + | 0.0369602i | ||||
\(406\) | −20.5250 | − | 19.0445i | −1.01864 | − | 0.945160i | ||||
\(407\) | −0.238984 | − | 0.0737170i | −0.0118460 | − | 0.00365401i | ||||
\(408\) | 17.1384 | − | 21.4909i | 0.848480 | − | 1.06396i | ||||
\(409\) | 4.23419 | − | 5.30951i | 0.209367 | − | 0.262538i | −0.666049 | − | 0.745908i | \(-0.732016\pi\) |
0.875416 | + | 0.483370i | \(0.160587\pi\) | |||||||
\(410\) | −0.431345 | − | 0.133052i | −0.0213026 | − | 0.00657099i | ||||
\(411\) | −12.8680 | − | 11.9397i | −0.634731 | − | 0.588944i | ||||
\(412\) | −52.9438 | − | 7.97999i | −2.60835 | − | 0.393146i | ||||
\(413\) | −1.48199 | − | 19.7758i | −0.0729239 | − | 0.973101i | ||||
\(414\) | 4.19224 | + | 2.01888i | 0.206037 | + | 0.0992224i | ||||
\(415\) | 12.2642 | − | 3.78300i | 0.602026 | − | 0.185700i | ||||
\(416\) | −32.0655 | + | 81.7015i | −1.57214 | + | 4.00575i | ||||
\(417\) | 5.36863 | + | 3.66027i | 0.262903 | + | 0.179244i | ||||
\(418\) | −4.99858 | + | 0.753415i | −0.244489 | + | 0.0368507i | ||||
\(419\) | 2.65456 | + | 11.6304i | 0.129684 | + | 0.568181i | 0.997460 | + | 0.0712267i | \(0.0226914\pi\) |
−0.867776 | + | 0.496955i | \(0.834451\pi\) | |||||||
\(420\) | −11.9434 | + | 8.14285i | −0.582777 | + | 0.397331i | ||||
\(421\) | −5.95716 | + | 5.52743i | −0.290334 | + | 0.269391i | −0.811869 | − | 0.583839i | \(-0.801550\pi\) |
0.521535 | + | 0.853230i | \(0.325359\pi\) | |||||||
\(422\) | −49.5705 | + | 23.8719i | −2.41305 | + | 1.16206i | ||||
\(423\) | −3.53086 | − | 6.11562i | −0.171676 | − | 0.297352i | ||||
\(424\) | −51.4307 | + | 89.0806i | −2.49770 | + | 4.32613i | ||||
\(425\) | −0.592702 | + | 7.90905i | −0.0287502 | + | 0.383645i | ||||
\(426\) | 5.03192 | − | 22.0463i | 0.243797 | − | 1.06815i | ||||
\(427\) | 3.98808 | + | 10.1615i | 0.192997 | + | 0.491747i | ||||
\(428\) | −15.8794 | − | 19.9121i | −0.767559 | − | 0.962488i | ||||
\(429\) | −2.29021 | −0.110572 | ||||||||
\(430\) | 10.6265 | − | 12.7310i | 0.512457 | − | 0.613945i | ||||
\(431\) | −13.4125 | −0.646056 | −0.323028 | − | 0.946389i | \(-0.604701\pi\) | ||||
−0.323028 | + | 0.946389i | \(0.604701\pi\) | |||||||
\(432\) | 57.3981 | + | 71.9749i | 2.76157 | + | 3.46289i | ||||
\(433\) | 3.83290 | + | 9.76607i | 0.184197 | + | 0.469327i | 0.992909 | − | 0.118878i | \(-0.0379298\pi\) |
−0.808711 | + | 0.588206i | \(0.799835\pi\) | |||||||
\(434\) | −1.11005 | + | 4.86344i | −0.0532840 | + | 0.233452i | ||||
\(435\) | 0.517175 | − | 6.90122i | 0.0247966 | − | 0.330888i | ||||
\(436\) | 44.9581 | − | 77.8697i | 2.15310 | − | 3.72928i | ||||
\(437\) | −3.76582 | − | 6.52259i | −0.180143 | − | 0.312018i | ||||
\(438\) | −50.9917 | + | 24.5563i | −2.43648 | + | 1.17334i | ||||
\(439\) | 17.6465 | − | 16.3735i | 0.842220 | − | 0.781466i | −0.135633 | − | 0.990759i | \(-0.543307\pi\) |
0.977853 | + | 0.209293i | \(0.0671163\pi\) | |||||||
\(440\) | −3.40610 | + | 2.32224i | −0.162379 | + | 0.110708i | ||||
\(441\) | −0.652435 | − | 2.85851i | −0.0310683 | − | 0.136119i | ||||
\(442\) | 18.2655 | − | 2.75308i | 0.868802 | − | 0.130951i | ||||
\(443\) | −14.5647 | − | 9.93004i | −0.691990 | − | 0.471791i | 0.165555 | − | 0.986201i | \(-0.447059\pi\) |
−0.857544 | + | 0.514410i | \(0.828011\pi\) | |||||||
\(444\) | 1.64413 | − | 4.18917i | 0.0780268 | − | 0.198809i | ||||
\(445\) | 0.343791 | − | 0.106045i | 0.0162972 | − | 0.00502704i | ||||
\(446\) | −3.70134 | − | 1.78247i | −0.175264 | − | 0.0844025i | ||||
\(447\) | 1.01530 | + | 13.5482i | 0.0480220 | + | 0.640809i | ||||
\(448\) | −69.9365 | − | 10.5412i | −3.30419 | − | 0.498027i | ||||
\(449\) | −16.9841 | − | 15.7590i | −0.801531 | − | 0.743712i | 0.168759 | − | 0.985657i | \(-0.446024\pi\) |
−0.970290 | + | 0.241945i | \(0.922214\pi\) | |||||||
\(450\) | −9.97398 | − | 3.07656i | −0.470178 | − | 0.145031i | ||||
\(451\) | 0.0502019 | − | 0.0629512i | 0.00236391 | − | 0.00296425i | ||||
\(452\) | 45.5046 | − | 57.0609i | 2.14035 | − | 2.68392i | ||||
\(453\) | 11.4711 | + | 3.53835i | 0.538957 | + | 0.166246i | ||||
\(454\) | −49.9048 | − | 46.3049i | −2.34215 | − | 2.17319i | ||||
\(455\) | −6.18322 | − | 0.931970i | −0.289874 | − | 0.0436914i | ||||
\(456\) | −4.37577 | − | 58.3906i | −0.204914 | − | 2.73439i | ||||
\(457\) | −20.4097 | − | 9.82881i | −0.954727 | − | 0.459772i | −0.109386 | − | 0.993999i | \(-0.534889\pi\) |
−0.845341 | + | 0.534227i | \(0.820603\pi\) | |||||||
\(458\) | −40.6809 | + | 12.5484i | −1.90089 | + | 0.586348i | ||||
\(459\) | 3.93722 | − | 10.0319i | 0.183773 | − | 0.468247i | ||||
\(460\) | −7.88349 | − | 5.37487i | −0.367570 | − | 0.250605i | ||||
\(461\) | 27.2692 | − | 4.11018i | 1.27006 | − | 0.191430i | 0.520781 | − | 0.853690i | \(-0.325641\pi\) |
0.749274 | + | 0.662260i | \(0.230403\pi\) | |||||||
\(462\) | −0.778159 | − | 3.40934i | −0.0362032 | − | 0.158617i | ||||
\(463\) | 8.81026 | − | 6.00673i | 0.409447 | − | 0.279156i | −0.341030 | − | 0.940052i | \(-0.610776\pi\) |
0.750478 | + | 0.660896i | \(0.229823\pi\) | |||||||
\(464\) | 62.3474 | − | 57.8499i | 2.89440 | − | 2.68561i | ||||
\(465\) | −1.11089 | + | 0.534979i | −0.0515165 | + | 0.0248090i | ||||
\(466\) | 28.2845 | + | 48.9903i | 1.31026 | + | 2.26943i | ||||
\(467\) | −2.52919 | + | 4.38068i | −0.117037 | + | 0.202714i | −0.918592 | − | 0.395207i | \(-0.870673\pi\) |
0.801555 | + | 0.597921i | \(0.204006\pi\) | |||||||
\(468\) | −1.33944 | + | 17.8736i | −0.0619156 | + | 0.826206i | ||||
\(469\) | −0.476020 | + | 2.08558i | −0.0219806 | + | 0.0963031i | ||||
\(470\) | 7.17515 | + | 18.2820i | 0.330965 | + | 0.843285i | ||||
\(471\) | 8.79074 | + | 11.0232i | 0.405056 | + | 0.507924i | ||||
\(472\) | 101.768 | 4.68424 | ||||||||
\(473\) | 1.42140 | + | 2.59411i | 0.0653560 | + | 0.119277i | ||||
\(474\) | −9.02597 | −0.414576 | ||||||||
\(475\) | 10.5338 | + | 13.2090i | 0.483326 | + | 0.606071i | ||||
\(476\) | 7.59774 | + | 19.3587i | 0.348242 | + | 0.887306i | ||||
\(477\) | −2.08729 | + | 9.14503i | −0.0955706 | + | 0.418722i | ||||
\(478\) | −2.65838 | + | 35.4736i | −0.121591 | + | 1.62252i | ||||
\(479\) | 17.3338 | − | 30.0230i | 0.792001 | − | 1.37179i | −0.132726 | − | 0.991153i | \(-0.542373\pi\) |
0.924726 | − | 0.380633i | \(-0.124294\pi\) | |||||||
\(480\) | −16.5624 | − | 28.6870i | −0.755969 | − | 1.30938i | ||||
\(481\) | 1.75395 | − | 0.844659i | 0.0799733 | − | 0.0385131i | ||||
\(482\) | −15.3742 | + | 14.2652i | −0.700278 | + | 0.649763i | ||||
\(483\) | 4.30495 | − | 2.93506i | 0.195882 | − | 0.133550i | ||||
\(484\) | 13.4867 | + | 59.0889i | 0.613030 | + | 2.68586i | ||||
\(485\) | −15.3258 | + | 2.31000i | −0.695911 | + | 0.104892i | ||||
\(486\) | 20.7107 | + | 14.1203i | 0.939457 | + | 0.640511i | ||||
\(487\) | −8.75751 | + | 22.3138i | −0.396841 | + | 1.01113i | 0.583199 | + | 0.812330i | \(0.301801\pi\) |
−0.980039 | + | 0.198804i | \(0.936294\pi\) | |||||||
\(488\) | −53.5291 | + | 16.5115i | −2.42315 | + | 0.747442i | ||||
\(489\) | 2.91080 | + | 1.40177i | 0.131631 | + | 0.0633901i | ||||
\(490\) | 0.609375 | + | 8.13155i | 0.0275288 | + | 0.367346i | ||||
\(491\) | 2.48484 | + | 0.374530i | 0.112139 | + | 0.0169023i | 0.204872 | − | 0.978789i | \(-0.434322\pi\) |
−0.0927327 | + | 0.995691i | \(0.529560\pi\) | |||||||
\(492\) | 1.06208 | + | 0.985464i | 0.0478821 | + | 0.0444281i | ||||
\(493\) | −9.51415 | − | 2.93473i | −0.428496 | − | 0.132174i | ||||
\(494\) | 24.5333 | − | 30.7638i | 1.10381 | − | 1.38413i | ||||
\(495\) | −0.234391 | + | 0.293917i | −0.0105351 | + | 0.0132106i | ||||
\(496\) | −14.4800 | − | 4.46649i | −0.650171 | − | 0.200551i | ||||
\(497\) | 8.07318 | + | 7.49082i | 0.362132 | + | 0.336009i | ||||
\(498\) | −55.2464 | − | 8.32706i | −2.47565 | − | 0.373144i | ||||
\(499\) | 1.13941 | + | 15.2043i | 0.0510068 | + | 0.680638i | 0.962839 | + | 0.270076i | \(0.0870487\pi\) |
−0.911832 | + | 0.410563i | \(0.865332\pi\) | |||||||
\(500\) | 42.4612 | + | 20.4482i | 1.89892 | + | 0.914472i | ||||
\(501\) | 32.2224 | − | 9.93928i | 1.43959 | − | 0.444054i | ||||
\(502\) | −16.1223 | + | 41.0790i | −0.719575 | + | 1.83345i | ||||
\(503\) | 1.84862 | + | 1.26037i | 0.0824261 | + | 0.0561971i | 0.603832 | − | 0.797112i | \(-0.293640\pi\) |
−0.521406 | + | 0.853309i | \(0.674592\pi\) | |||||||
\(504\) | −17.4211 | + | 2.62581i | −0.775997 | + | 0.116963i | ||||
\(505\) | −1.25980 | − | 5.51953i | −0.0560602 | − | 0.245616i | ||||
\(506\) | 1.90719 | − | 1.30030i | 0.0847850 | − | 0.0578055i | ||||
\(507\) | −0.711102 | + | 0.659806i | −0.0315811 | + | 0.0293030i | ||||
\(508\) | 66.5509 | − | 32.0492i | 2.95272 | − | 1.42195i | ||||
\(509\) | −17.6153 | − | 30.5107i | −0.780786 | − | 1.35236i | −0.931484 | − | 0.363782i | \(-0.881485\pi\) |
0.150698 | − | 0.988580i | \(-0.451848\pi\) | |||||||
\(510\) | −3.48574 | + | 6.03748i | −0.154351 | + | 0.267344i | ||||
\(511\) | 2.05983 | − | 27.4866i | 0.0911217 | − | 1.21593i | ||||
\(512\) | 18.3144 | − | 80.2408i | 0.809391 | − | 3.54618i | ||||
\(513\) | −8.38699 | − | 21.3697i | −0.370294 | − | 0.943495i | ||||
\(514\) | 4.64532 | + | 5.82505i | 0.204896 | + | 0.256932i | ||||
\(515\) | 8.74136 | 0.385190 | ||||||||
\(516\) | −48.4595 | + | 22.0170i | −2.13331 | + | 0.969245i | ||||
\(517\) | −3.50318 | −0.154070 | ||||||||
\(518\) | 1.85336 | + | 2.32404i | 0.0814320 | + | 0.102112i | ||||
\(519\) | 0.810611 | + | 2.06540i | 0.0355819 | + | 0.0906611i | ||||
\(520\) | 7.14043 | − | 31.2843i | 0.313129 | − | 1.37191i | ||||
\(521\) | −3.20580 | + | 42.7785i | −0.140449 | + | 1.87416i | 0.270799 | + | 0.962636i | \(0.412712\pi\) |
−0.411247 | + | 0.911524i | \(0.634907\pi\) | |||||||
\(522\) | 6.55150 | − | 11.3475i | 0.286751 | − | 0.496668i | ||||
\(523\) | 7.69902 | + | 13.3351i | 0.336655 | + | 0.583103i | 0.983801 | − | 0.179263i | \(-0.0573712\pi\) |
−0.647147 | + | 0.762366i | \(0.724038\pi\) | |||||||
\(524\) | −15.3922 | + | 7.41250i | −0.672412 | + | 0.323816i | ||||
\(525\) | −8.56771 | + | 7.94967i | −0.373926 | + | 0.346952i | ||||
\(526\) | −42.1203 | + | 28.7171i | −1.83653 | + | 1.25213i | ||||
\(527\) | 0.394729 | + | 1.72942i | 0.0171947 | + | 0.0753347i | ||||
\(528\) | 10.5040 | − | 1.58322i | 0.457127 | − | 0.0689008i | ||||
\(529\) | −16.1619 | − | 11.0190i | −0.702692 | − | 0.479087i | ||||
\(530\) | 9.53090 | − | 24.2843i | 0.413996 | − | 1.05484i | ||||
\(531\) | 8.86817 | − | 2.73547i | 0.384846 | − | 0.118709i | ||||
\(532\) | 39.9129 | + | 19.2210i | 1.73044 | + | 0.833337i | ||||
\(533\) | 0.0468369 | + | 0.624995i | 0.00202873 | + | 0.0270715i | ||||
\(534\) | −1.54867 | − | 0.233425i | −0.0670176 | − | 0.0101013i | ||||
\(535\) | 3.04807 | + | 2.82820i | 0.131780 | + | 0.122274i | ||||
\(536\) | −10.4901 | − | 3.23576i | −0.453103 | − | 0.139764i | ||||
\(537\) | 5.88602 | − | 7.38083i | 0.254000 | − | 0.318507i | ||||
\(538\) | −22.2344 | + | 27.8811i | −0.958594 | + | 1.20204i | ||||
\(539\) | −1.38990 | − | 0.428726i | −0.0598671 | − | 0.0184666i | ||||
\(540\) | −21.3189 | − | 19.7811i | −0.917421 | − | 0.851243i | ||||
\(541\) | 32.2484 | + | 4.86067i | 1.38647 | + | 0.208976i | 0.799516 | − | 0.600645i | \(-0.205090\pi\) |
0.586952 | + | 0.809622i | \(0.300328\pi\) | |||||||
\(542\) | 3.18089 | + | 42.4460i | 0.136631 | + | 1.82321i | ||||
\(543\) | 24.8229 | + | 11.9541i | 1.06525 | + | 0.512999i | ||||
\(544\) | −45.5390 | + | 14.0469i | −1.95247 | + | 0.602256i | ||||
\(545\) | −5.36318 | + | 13.6652i | −0.229733 | + | 0.585351i | ||||
\(546\) | 22.4908 | + | 15.3340i | 0.962517 | + | 0.656233i | ||||
\(547\) | −4.56008 | + | 0.687322i | −0.194975 | + | 0.0293878i | −0.245804 | − | 0.969320i | \(-0.579052\pi\) |
0.0508287 | + | 0.998707i | \(0.483814\pi\) | |||||||
\(548\) | 15.1653 | + | 66.4436i | 0.647831 | + | 2.83833i | ||||
\(549\) | −4.22077 | + | 2.87767i | −0.180138 | + | 0.122816i | ||||
\(550\) | −3.79570 | + | 3.52189i | −0.161849 | + | 0.150174i | ||||
\(551\) | −19.1088 | + | 9.20230i | −0.814061 | + | 0.392031i | ||||
\(552\) | 13.3688 | + | 23.1555i | 0.569015 | + | 0.985562i | ||||
\(553\) | 2.19792 | − | 3.80690i | 0.0934649 | − | 0.161886i | ||||
\(554\) | 4.93360 | − | 65.8343i | 0.209608 | − | 2.79703i | ||||
\(555\) | −0.163491 | + | 0.716301i | −0.00693981 | + | 0.0304053i | ||||
\(556\) | −9.21640 | − | 23.4830i | −0.390863 | − | 0.995902i | ||||
\(557\) | 2.71786 | + | 3.40809i | 0.115159 | + | 0.144405i | 0.836070 | − | 0.548623i | \(-0.184848\pi\) |
−0.720911 | + | 0.693028i | \(0.756276\pi\) | |||||||
\(558\) | −2.33449 | −0.0988268 | ||||||||
\(559\) | −21.8450 | − | 7.27661i | −0.923944 | − | 0.307768i | ||||
\(560\) | 29.0034 | 1.22562 | ||||||||
\(561\) | −0.775325 | − | 0.972227i | −0.0327343 | − | 0.0410475i | ||||
\(562\) | −10.0272 | − | 25.5489i | −0.422972 | − | 1.07771i | ||||
\(563\) | −6.19136 | + | 27.1261i | −0.260935 | + | 1.14323i | 0.659306 | + | 0.751875i | \(0.270850\pi\) |
−0.920240 | + | 0.391354i | \(0.872007\pi\) | |||||||
\(564\) | 4.71073 | − | 62.8604i | 0.198358 | − | 2.64690i | ||||
\(565\) | −5.95774 | + | 10.3191i | −0.250644 | + | 0.434128i | ||||
\(566\) | −19.2485 | − | 33.3395i | −0.809077 | − | 1.40136i | ||||
\(567\) | 9.53271 | − | 4.59071i | 0.400336 | − | 0.192792i | ||||
\(568\) | −41.4291 | + | 38.4406i | −1.73833 | + | 1.61293i | ||||
\(569\) | 1.04489 | − | 0.712395i | 0.0438042 | − | 0.0298652i | −0.541220 | − | 0.840881i | \(-0.682037\pi\) |
0.585024 | + | 0.811016i | \(0.301085\pi\) | |||||||
\(570\) | 3.30455 | + | 14.4782i | 0.138412 | + | 0.606425i | ||||
\(571\) | −20.4623 | + | 3.08420i | −0.856322 | + | 0.129070i | −0.562507 | − | 0.826792i | \(-0.690163\pi\) |
−0.293815 | + | 0.955862i | \(0.594925\pi\) | |||||||
\(572\) | 7.34658 | + | 5.00881i | 0.307176 | + | 0.209429i | ||||
\(573\) | 8.47312 | − | 21.5891i | 0.353970 | − | 0.901900i | ||||
\(574\) | −0.914490 | + | 0.282083i | −0.0381701 | + | 0.0117739i | ||||
\(575\) | −6.95074 | − | 3.34730i | −0.289866 | − | 0.139592i | ||||
\(576\) | −2.47343 | − | 33.0056i | −0.103059 | − | 1.37523i | ||||
\(577\) | −11.3836 | − | 1.71580i | −0.473905 | − | 0.0714297i | −0.0922528 | − | 0.995736i | \(-0.529407\pi\) |
−0.381653 | + | 0.924306i | \(0.624645\pi\) | |||||||
\(578\) | −27.0337 | − | 25.0836i | −1.12445 | − | 1.04334i | ||||
\(579\) | 8.66394 | + | 2.67247i | 0.360061 | + | 0.111064i | ||||
\(580\) | −16.7524 | + | 21.0068i | −0.695604 | + | 0.872260i | ||||
\(581\) | 16.9652 | − | 21.2737i | 0.703835 | − | 0.882581i | ||||
\(582\) | 64.4723 | + | 19.8871i | 2.67246 | + | 0.824345i | ||||
\(583\) | 3.41114 | + | 3.16508i | 0.141275 | + | 0.131084i | ||||
\(584\) | 139.868 | + | 21.0818i | 5.78780 | + | 0.872370i | ||||
\(585\) | −0.218680 | − | 2.91808i | −0.00904131 | − | 0.120648i | ||||
\(586\) | −42.6348 | − | 20.5318i | −1.76123 | − | 0.848161i | ||||
\(587\) | 29.3343 | − | 9.04842i | 1.21075 | − | 0.373468i | 0.377318 | − | 0.926084i | \(-0.376846\pi\) |
0.833437 | + | 0.552615i | \(0.186370\pi\) | |||||||
\(588\) | 9.56199 | − | 24.3635i | 0.394330 | − | 1.00474i | ||||
\(589\) | 3.12212 | + | 2.12863i | 0.128645 | + | 0.0877086i | ||||
\(590\) | −25.5220 | + | 3.84683i | −1.05073 | + | 0.158371i | ||||
\(591\) | 3.50233 | + | 15.3447i | 0.144066 | + | 0.631196i | ||||
\(592\) | −7.46054 | + | 5.08651i | −0.306626 | + | 0.209054i | ||||
\(593\) | −2.70312 | + | 2.50813i | −0.111004 | + | 0.102997i | −0.733722 | − | 0.679449i | \(-0.762219\pi\) |
0.622718 | + | 0.782446i | \(0.286028\pi\) | |||||||
\(594\) | 6.33894 | − | 3.05267i | 0.260090 | − | 0.125253i | ||||
\(595\) | −1.69763 | − | 2.94038i | −0.0695959 | − | 0.120544i | ||||
\(596\) | 26.3739 | − | 45.6809i | 1.08032 | − | 1.87116i | ||||
\(597\) | 0.519186 | − | 6.92805i | 0.0212489 | − | 0.283546i | ||||
\(598\) | −3.99817 | + | 17.5171i | −0.163497 | + | 0.716329i | ||||
\(599\) | 11.9286 | + | 30.3935i | 0.487388 | + | 1.24184i | 0.937222 | + | 0.348732i | \(0.113388\pi\) |
−0.449834 | + | 0.893112i | \(0.648517\pi\) | |||||||
\(600\) | −37.3956 | − | 46.8926i | −1.52667 | − | 1.91438i | ||||
\(601\) | −33.8084 | −1.37907 | −0.689536 | − | 0.724251i | \(-0.742186\pi\) | ||||
−0.689536 | + | 0.724251i | \(0.742186\pi\) | |||||||
\(602\) | 3.40997 | − | 34.9921i | 0.138980 | − | 1.42617i | ||||
\(603\) | −1.00110 | −0.0407678 | ||||||||
\(604\) | −29.0586 | − | 36.4383i | −1.18238 | − | 1.48265i | ||||
\(605\) | −3.61508 | − | 9.21108i | −0.146974 | − | 0.374484i | ||||
\(606\) | −5.48412 | + | 24.0275i | −0.222777 | + | 0.976051i | ||||
\(607\) | −1.39787 | + | 18.6532i | −0.0567376 | + | 0.757111i | 0.894188 | + | 0.447691i | \(0.147754\pi\) |
−0.950926 | + | 0.309419i | \(0.899865\pi\) | |||||||
\(608\) | −50.7582 | + | 87.9157i | −2.05852 | + | 3.56545i | ||||
\(609\) | −7.33611 | − | 12.7065i | −0.297274 | − | 0.514894i | ||||
\(610\) | 12.8003 | − | 6.16428i | 0.518267 | − | 0.249584i | ||||
\(611\) | 19.9894 | − | 18.5474i | 0.808683 | − | 0.750348i | ||||
\(612\) | −8.04105 | + | 5.48230i | −0.325040 | + | 0.221609i | ||||
\(613\) | −4.20791 | − | 18.4361i | −0.169956 | − | 0.744626i | −0.986015 | − | 0.166657i | \(-0.946703\pi\) |
0.816059 | − | 0.577969i | \(-0.196154\pi\) | |||||||
\(614\) | 57.5314 | − | 8.67146i | 2.32178 | − | 0.349952i | ||||
\(615\) | −0.195440 | − | 0.133249i | −0.00788090 | − | 0.00537311i | ||||
\(616\) | −3.19304 | + | 8.13573i | −0.128651 | + | 0.327798i | ||||
\(617\) | −24.4540 | + | 7.54305i | −0.984479 | + | 0.303672i | −0.744879 | − | 0.667200i | \(-0.767493\pi\) |
−0.239601 | + | 0.970872i | \(0.577017\pi\) | |||||||
\(618\) | −34.2843 | − | 16.5105i | −1.37912 | − | 0.664148i | ||||
\(619\) | −3.08108 | − | 41.1142i | −0.123839 | − | 1.65252i | −0.620231 | − | 0.784419i | \(-0.712961\pi\) |
0.496392 | − | 0.868099i | \(-0.334658\pi\) | |||||||
\(620\) | 4.73358 | + | 0.713473i | 0.190105 | + | 0.0286538i | ||||
\(621\) | 7.68434 | + | 7.13002i | 0.308362 | + | 0.286118i | ||||
\(622\) | −16.9886 | − | 5.24029i | −0.681181 | − | 0.210116i | ||||
\(623\) | 0.475570 | − | 0.596346i | 0.0190533 | − | 0.0238921i | ||||
\(624\) | −51.5541 | + | 64.6468i | −2.06381 | + | 2.58794i | ||||
\(625\) | 12.5235 | + | 3.86300i | 0.500941 | + | 0.154520i | ||||
\(626\) | 13.9442 | + | 12.9383i | 0.557321 | + | 0.517119i | ||||
\(627\) | −2.61935 | − | 0.394803i | −0.104607 | − | 0.0157669i | ||||
\(628\) | −4.09069 | − | 54.5864i | −0.163236 | − | 2.17824i | ||||
\(629\) | 0.952352 | + | 0.458629i | 0.0379728 | + | 0.0182867i | ||||
\(630\) | 4.26973 | − | 1.31704i | 0.170110 | − | 0.0524720i | ||||
\(631\) | 8.41507 | − | 21.4412i | 0.334998 | − | 0.853562i | −0.659776 | − | 0.751463i | \(-0.729349\pi\) |
0.994774 | − | 0.102100i | \(-0.0325560\pi\) | |||||||
\(632\) | 18.6384 | + | 12.7074i | 0.741394 | + | 0.505474i | ||||
\(633\) | −28.5090 | + | 4.29704i | −1.13313 | + | 0.170792i | ||||
\(634\) | 0.702979 | + | 3.07995i | 0.0279189 | + | 0.122321i | ||||
\(635\) | −9.96405 | + | 6.79337i | −0.395411 | + | 0.269587i | ||||
\(636\) | −61.3805 | + | 56.9528i | −2.43390 | + | 2.25832i | ||||
\(637\) | 10.2007 | − | 4.91240i | 0.404167 | − | 0.194637i | ||||
\(638\) | −3.25007 | − | 5.62929i | −0.128672 | − | 0.222866i | ||||
\(639\) | −2.57692 | + | 4.46336i | −0.101941 | + | 0.176568i | ||||
\(640\) | −3.45493 | + | 46.1028i | −0.136568 | + | 1.82237i | ||||
\(641\) | −7.22296 | + | 31.6459i | −0.285290 | + | 1.24994i | 0.605619 | + | 0.795755i | \(0.292926\pi\) |
−0.890909 | + | 0.454182i | \(0.849932\pi\) | |||||||
\(642\) | −6.61296 | − | 16.8495i | −0.260993 | − | 0.664998i | ||||
\(643\) | 25.0195 | + | 31.3734i | 0.986671 | + | 1.23725i | 0.971421 | + | 0.237362i | \(0.0762829\pi\) |
0.0152498 | + | 0.999884i | \(0.495146\pi\) | |||||||
\(644\) | −20.2287 | −0.797121 | ||||||||
\(645\) | 7.28751 | − | 4.73357i | 0.286946 | − | 0.186384i | ||||
\(646\) | 21.3652 | 0.840602 | ||||||||
\(647\) | 0.798384 | + | 1.00114i | 0.0313877 | + | 0.0393590i | 0.797278 | − | 0.603613i | \(-0.206273\pi\) |
−0.765890 | + | 0.642972i | \(0.777701\pi\) | |||||||
\(648\) | 19.8365 | + | 50.5427i | 0.779253 | + | 1.98550i | ||||
\(649\) | 1.02446 | − | 4.48844i | 0.0402134 | − | 0.176187i | ||||
\(650\) | 3.01200 | − | 40.1923i | 0.118140 | − | 1.57647i | ||||
\(651\) | −1.30704 | + | 2.26385i | −0.0512268 | + | 0.0887274i | ||||
\(652\) | −6.27159 | − | 10.8627i | −0.245614 | − | 0.425416i | ||||
\(653\) | 15.6506 | − | 7.53694i | 0.612456 | − | 0.294943i | −0.101825 | − | 0.994802i | \(-0.532468\pi\) |
0.714281 | + | 0.699859i | \(0.246754\pi\) | |||||||
\(654\) | 46.8452 | − | 43.4660i | 1.83179 | − | 1.69966i | ||||
\(655\) | 2.30453 | − | 1.57120i | 0.0900455 | − | 0.0613920i | ||||
\(656\) | −0.646875 | − | 2.83414i | −0.0252562 | − | 0.110655i | ||||
\(657\) | 12.7550 | − | 1.92250i | 0.497619 | − | 0.0750040i | ||||
\(658\) | 34.4027 | + | 23.4554i | 1.34116 | + | 0.914385i | ||||
\(659\) | −14.1869 | + | 36.1477i | −0.552645 | + | 1.40812i | 0.332635 | + | 0.943056i | \(0.392062\pi\) |
−0.885279 | + | 0.465060i | \(0.846033\pi\) | |||||||
\(660\) | −3.20670 | + | 0.989137i | −0.124821 | + | 0.0385021i | ||||
\(661\) | −31.3625 | − | 15.1034i | −1.21986 | − | 0.587454i | −0.290587 | − | 0.956848i | \(-0.593851\pi\) |
−0.929273 | + | 0.369395i | \(0.879565\pi\) | |||||||
\(662\) | 2.03709 | + | 27.1831i | 0.0791739 | + | 1.05650i | ||||
\(663\) | 9.57147 | + | 1.44267i | 0.371725 | + | 0.0560285i | ||||
\(664\) | 102.359 | + | 94.9751i | 3.97229 | + | 3.68575i | ||||
\(665\) | −6.91119 | − | 2.13182i | −0.268005 | − | 0.0826685i | ||||
\(666\) | −0.867324 | + | 1.08759i | −0.0336081 | + | 0.0421432i | ||||
\(667\) | 6.03833 | − | 7.57182i | 0.233805 | − | 0.293182i | ||||
\(668\) | −125.102 | − | 38.5887i | −4.84032 | − | 1.49304i | ||||
\(669\) | −1.57809 | − | 1.46425i | −0.0610124 | − | 0.0566112i | ||||
\(670\) | 2.75309 | + | 0.414961i | 0.106361 | + | 0.0160314i | ||||
\(671\) | 0.189380 | + | 2.52710i | 0.00731094 | + | 0.0975577i | ||||
\(672\) | −63.2730 | − | 30.4707i | −2.44081 | − | 1.17543i | ||||
\(673\) | 20.4975 | − | 6.32264i | 0.790120 | − | 0.243720i | 0.126675 | − | 0.991944i | \(-0.459570\pi\) |
0.663446 | + | 0.748225i | \(0.269093\pi\) | |||||||
\(674\) | 23.3515 | − | 59.4987i | 0.899467 | − | 2.29181i | ||||
\(675\) | −19.4288 | − | 13.2463i | −0.747814 | − | 0.509851i | ||||
\(676\) | 3.72412 | − | 0.561321i | 0.143236 | − | 0.0215893i | ||||
\(677\) | −8.90216 | − | 39.0029i | −0.342138 | − | 1.49900i | −0.794552 | − | 0.607196i | \(-0.792294\pi\) |
0.452414 | − | 0.891808i | \(-0.350563\pi\) | |||||||
\(678\) | 42.8572 | − | 29.2196i | 1.64592 | − | 1.12217i | ||||
\(679\) | −24.0875 | + | 22.3499i | −0.924393 | + | 0.857711i | ||||
\(680\) | 15.6980 | − | 7.55974i | 0.601989 | − | 0.289903i | ||||
\(681\) | −17.8371 | − | 30.8948i | −0.683519 | − | 1.18389i | ||||
\(682\) | −0.579047 | + | 1.00294i | −0.0221729 | + | 0.0384045i | ||||
\(683\) | 0.0581079 | − | 0.775395i | 0.00222344 | − | 0.0296697i | −0.995982 | − | 0.0895567i | \(-0.971455\pi\) |
0.998205 | + | 0.0598870i | \(0.0190740\pi\) | |||||||
\(684\) | −4.61312 | + | 20.2114i | −0.176387 | + | 0.772803i | ||||
\(685\) | −4.06505 | − | 10.3576i | −0.155317 | − | 0.395742i | ||||
\(686\) | 34.1789 | + | 42.8589i | 1.30496 | + | 1.63636i | ||||
\(687\) | −22.3087 | −0.851129 | ||||||||
\(688\) | 105.222 | + | 18.2725i | 4.01154 | + | 0.696634i | ||||
\(689\) | −36.2215 | −1.37993 | ||||||||
\(690\) | −4.22800 | − | 5.30175i | −0.160957 | − | 0.201834i | ||||
\(691\) | −13.6014 | − | 34.6557i | −0.517420 | − | 1.31836i | −0.915981 | − | 0.401223i | \(-0.868585\pi\) |
0.398561 | − | 0.917142i | \(-0.369510\pi\) | |||||||
\(692\) | 1.91686 | − | 8.39830i | 0.0728680 | − | 0.319256i | ||||
\(693\) | −0.0595610 | + | 0.794786i | −0.00226253 | + | 0.0301914i | ||||
\(694\) | −23.0480 | + | 39.9204i | −0.874891 | + | 1.51536i | ||||
\(695\) | 2.05930 | + | 3.56681i | 0.0781136 | + | 0.135297i | ||||
\(696\) | 67.8370 | − | 32.6686i | 2.57136 | − | 1.23830i | ||||
\(697\) | −0.249464 | + | 0.231468i | −0.00944911 | + | 0.00876749i | ||||
\(698\) | 46.8408 | − | 31.9356i | 1.77295 | − | 1.20878i | ||||
\(699\) | 6.59624 | + | 28.9000i | 0.249493 | + | 1.09310i | ||||
\(700\) | 44.8701 | − | 6.76308i | 1.69593 | − | 0.255620i | ||||
\(701\) | 32.1515 | + | 21.9205i | 1.21434 | + | 0.827926i | 0.989225 | − | 0.146405i | \(-0.0467704\pi\) |
0.225119 | + | 0.974331i | \(0.427723\pi\) | |||||||
\(702\) | −20.0082 | + | 50.9800i | −0.755160 | + | 1.92412i | ||||
\(703\) | 2.15163 | − | 0.663691i | 0.0811504 | − | 0.0250316i | ||||
\(704\) | −14.7933 | − | 7.12408i | −0.557544 | − | 0.268499i | ||||
\(705\) | 0.769086 | + | 10.2627i | 0.0289655 | + | 0.386517i | ||||
\(706\) | 27.4968 | + | 4.14448i | 1.03486 | + | 0.155979i | ||||
\(707\) | −8.79870 | − | 8.16400i | −0.330909 | − | 0.307039i | ||||
\(708\) | 79.1621 | + | 24.4183i | 2.97509 | + | 0.917695i | ||||
\(709\) | 4.24430 | − | 5.32218i | 0.159398 | − | 0.199879i | −0.695719 | − | 0.718314i | \(-0.744914\pi\) |
0.855117 | + | 0.518436i | \(0.173485\pi\) | |||||||
\(710\) | 8.93682 | − | 11.2064i | 0.335393 | − | 0.420570i | ||||
\(711\) | 1.96574 | + | 0.606351i | 0.0737210 | + | 0.0227399i | ||||
\(712\) | 2.86933 | + | 2.66235i | 0.107533 | + | 0.0997758i | ||||
\(713\) | −1.70620 | − | 0.257169i | −0.0638978 | − | 0.00963105i | ||||
\(714\) | 1.10452 | + | 14.7388i | 0.0413357 | + | 0.551587i | ||||
\(715\) | −1.30790 | − | 0.629853i | −0.0489128 | − | 0.0235552i | ||||
\(716\) | −35.0236 | + | 10.8034i | −1.30889 | + | 0.403740i | ||||
\(717\) | −6.81030 | + | 17.3524i | −0.254335 | + | 0.648036i | ||||
\(718\) | −34.7492 | − | 23.6916i | −1.29683 | − | 0.884162i | ||||
\(719\) | −9.10645 | + | 1.37258i | −0.339613 | + | 0.0511885i | −0.316635 | − | 0.948547i | \(-0.602553\pi\) |
−0.0229784 | + | 0.999736i | \(0.507315\pi\) | |||||||
\(720\) | 3.02024 | + | 13.2325i | 0.112558 | + | 0.493148i | ||||
\(721\) | 15.3122 | − | 10.4397i | 0.570258 | − | 0.388795i | ||||
\(722\) | −5.06897 | + | 4.70332i | −0.188647 | + | 0.175039i | ||||
\(723\) | −9.90183 | + | 4.76847i | −0.368253 | + | 0.177341i | ||||
\(724\) | −53.4833 | − | 92.6357i | −1.98769 | − | 3.44278i | ||||
\(725\) | −10.8624 | + | 18.8142i | −0.403419 | + | 0.698742i | ||||
\(726\) | −3.21901 | + | 42.9547i | −0.119469 | + | 1.59420i | ||||
\(727\) | −4.20129 | + | 18.4071i | −0.155817 | + | 0.682680i | 0.835312 | + | 0.549777i | \(0.185287\pi\) |
−0.991129 | + | 0.132904i | \(0.957570\pi\) | |||||||
\(728\) | −24.8546 | − | 63.3284i | −0.921171 | − | 2.34711i | ||||
\(729\) | 18.3748 | + | 23.0413i | 0.680548 | + | 0.853380i | ||||
\(730\) | −35.8741 | −1.32776 | ||||||||
\(731\) | −4.30636 | − | 11.7369i | −0.159276 | − | 0.434106i | ||||
\(732\) | −45.6005 | −1.68544 | ||||||||
\(733\) | 14.2106 | + | 17.8195i | 0.524880 | + | 0.658178i | 0.971637 | − | 0.236477i | \(-0.0759927\pi\) |
−0.446757 | + | 0.894655i | \(0.647421\pi\) | |||||||
\(734\) | 11.8844 | + | 30.2810i | 0.438662 | + | 1.11769i | ||||
\(735\) | −0.950839 | + | 4.16590i | −0.0350722 | + | 0.153661i | ||||
\(736\) | 3.46414 | − | 46.2258i | 0.127690 | − | 1.70390i | ||||
\(737\) | −0.248312 | + | 0.430089i | −0.00914669 | + | 0.0158425i | ||||
\(738\) | −0.223927 | − | 0.387853i | −0.00824287 | − | 0.0142771i | ||||
\(739\) | −21.1790 | + | 10.1993i | −0.779083 | + | 0.375187i | −0.780775 | − | 0.624812i | \(-0.785176\pi\) |
0.00169199 | + | 0.999999i | \(0.499461\pi\) | |||||||
\(740\) | 2.09104 | − | 1.94020i | 0.0768682 | − | 0.0713233i | ||||
\(741\) | 17.0364 | − | 11.6152i | 0.625849 | − | 0.426697i | ||||
\(742\) | −12.3072 | − | 53.9215i | −0.451813 | − | 1.97952i | ||||
\(743\) | 27.3290 | − | 4.11919i | 1.00260 | − | 0.151118i | 0.372833 | − | 0.927899i | \(-0.378387\pi\) |
0.629772 | + | 0.776780i | \(0.283148\pi\) | |||||||
\(744\) | −11.0837 | − | 7.55672i | −0.406347 | − | 0.277043i | ||||
\(745\) | −3.14621 | + | 8.01642i | −0.115268 | + | 0.293699i | ||||
\(746\) | 32.0753 | − | 9.89393i | 1.17436 | − | 0.362242i | ||||
\(747\) | 11.4726 | + | 5.52490i | 0.419759 | + | 0.202145i | ||||
\(748\) | 0.360791 | + | 4.81442i | 0.0131918 | + | 0.176032i | ||||
\(749\) | 8.71699 | + | 1.31388i | 0.318512 | + | 0.0480079i | ||||
\(750\) | 24.5533 | + | 22.7821i | 0.896560 | + | 0.831886i | ||||
\(751\) | −19.8284 | − | 6.11625i | −0.723549 | − | 0.223185i | −0.0889600 | − | 0.996035i | \(-0.528354\pi\) |
−0.634589 | + | 0.772850i | \(0.718831\pi\) | |||||||
\(752\) | −78.8589 | + | 98.8859i | −2.87569 | + | 3.60600i | ||||
\(753\) | −14.4180 | + | 18.0796i | −0.525422 | + | 0.658858i | ||||
\(754\) | 48.3491 | + | 14.9137i | 1.76077 | + | 0.543126i | ||||
\(755\) | 5.57783 | + | 5.17547i | 0.202998 | + | 0.188355i | ||||
\(756\) | −60.9688 | − | 9.18956i | −2.21741 | − | 0.334221i | ||||
\(757\) | −1.60398 | − | 21.4036i | −0.0582975 | − | 0.777926i | −0.947366 | − | 0.320152i | \(-0.896266\pi\) |
0.889069 | − | 0.457774i | \(-0.151353\pi\) | |||||||
\(758\) | −20.0720 | − | 9.66618i | −0.729049 | − | 0.351091i | ||||
\(759\) | 1.15584 | − | 0.356531i | 0.0419545 | − | 0.0129412i | ||||
\(760\) | 13.5597 | − | 34.5494i | 0.491860 | − | 1.25324i | ||||
\(761\) | 9.83792 | + | 6.70738i | 0.356624 | + | 0.243142i | 0.728357 | − | 0.685197i | \(-0.240284\pi\) |
−0.371733 | + | 0.928340i | \(0.621236\pi\) | |||||||
\(762\) | 51.9110 | − | 7.82432i | 1.88054 | − | 0.283445i | ||||
\(763\) | 6.92547 | + | 30.3425i | 0.250719 | + | 1.09847i | ||||
\(764\) | −74.3970 | + | 50.7230i | −2.69159 | + | 1.83509i | ||||
\(765\) | 1.16474 | − | 1.08072i | 0.0421112 | − | 0.0390735i | ||||
\(766\) | −64.6590 | + | 31.1381i | −2.33622 | + | 1.12507i | ||||
\(767\) | 17.9182 | + | 31.0353i | 0.646989 | + | 1.12062i | ||||
\(768\) | 47.9980 | − | 83.1349i | 1.73198 | − | 2.99987i | ||||
\(769\) | 2.45417 | − | 32.7486i | 0.0884996 | − | 1.18094i | −0.759341 | − | 0.650693i | \(-0.774478\pi\) |
0.847840 | − | 0.530252i | \(-0.177903\pi\) | |||||||
\(770\) | 0.493242 | − | 2.16103i | 0.0177752 | − | 0.0778782i | ||||
\(771\) | 1.42637 | + | 3.63433i | 0.0513694 | + | 0.130887i | ||||
\(772\) | −21.9476 | − | 27.5214i | −0.789910 | − | 0.990515i | ||||
\(773\) | 16.1263 | 0.580024 | 0.290012 | − | 0.957023i | \(-0.406341\pi\) | ||||
0.290012 | + | 0.957023i | \(0.406341\pi\) | |||||||
\(774\) | 16.3199 | − | 2.08810i | 0.586607 | − | 0.0750552i | ||||
\(775\) | 3.87059 | 0.139036 | ||||||||
\(776\) | −105.135 | − | 131.835i | −3.77412 | − | 4.73260i | ||||
\(777\) | 0.569083 | + | 1.45000i | 0.0204157 | + | 0.0520185i | ||||
\(778\) | −2.24862 | + | 9.85183i | −0.0806168 | + | 0.353205i | ||||
\(779\) | −0.0541732 | + | 0.722892i | −0.00194096 | + | 0.0259003i | ||||
\(780\) | 13.0607 | − | 22.6218i | 0.467648 | − | 0.809991i | ||||
\(781\) | 1.27836 | + | 2.21419i | 0.0457434 | + | 0.0792298i | ||||
\(782\) | −8.78983 | + | 4.23296i | −0.314324 | + | 0.151370i | ||||
\(783\) | 21.6392 | − | 20.0782i | 0.773320 | − | 0.717536i | ||||
\(784\) | −43.3894 | + | 29.5824i | −1.54962 | + | 1.05651i | ||||
\(785\) | 1.98865 | + | 8.71284i | 0.0709779 | + | 0.310975i | ||||
\(786\) | −12.0062 | + | 1.80965i | −0.428248 | + | 0.0645479i | ||||
\(787\) | 5.84489 | + | 3.98498i | 0.208348 | + | 0.142049i | 0.662999 | − | 0.748621i | \(-0.269284\pi\) |
−0.454651 | + | 0.890670i | \(0.650236\pi\) | |||||||
\(788\) | 22.3249 | − | 56.8829i | 0.795291 | − | 2.02637i | ||||
\(789\) | −25.5268 | + | 7.87398i | −0.908778 | + | 0.280321i | ||||
\(790\) | −5.15460 | − | 2.48232i | −0.183392 | − | 0.0883171i | ||||
\(791\) | 1.88782 | + | 25.1913i | 0.0671233 | + | 0.895698i | ||||
\(792\) | −4.04435 | − | 0.609588i | −0.143710 | − | 0.0216608i | ||||
\(793\) | −14.4602 | − | 13.4171i | −0.513498 | − | 0.476456i | ||||
\(794\) | −68.6698 | − | 21.1818i | −2.43700 | − | 0.751715i | ||||
\(795\) | 8.52337 | − | 10.6880i | 0.302293 | − | 0.379063i | ||||
\(796\) | −16.8175 | + | 21.0885i | −0.596081 | + | 0.747462i | ||||
\(797\) | 47.8168 | + | 14.7495i | 1.69376 | + | 0.522455i | 0.983410 | − | 0.181397i | \(-0.0580619\pi\) |
0.710347 | + | 0.703852i | \(0.248538\pi\) | |||||||
\(798\) | 23.0797 | + | 21.4149i | 0.817014 | + | 0.758078i | ||||
\(799\) | 14.6408 | + | 2.20675i | 0.517956 | + | 0.0780693i | ||||
\(800\) | 7.77076 | + | 103.694i | 0.274738 | + | 3.66612i | ||||
\(801\) | 0.321600 | + | 0.154874i | 0.0113632 | + | 0.00547222i | ||||
\(802\) | 36.4657 | − | 11.2482i | 1.28765 | − | 0.397187i | ||||
\(803\) | 2.33781 | − | 5.95664i | 0.0824994 | − | 0.210205i | ||||
\(804\) | −7.38353 | − | 5.03401i | −0.260397 | − | 0.177536i | ||||
\(805\) | 3.26569 | − | 0.492224i | 0.115101 | − | 0.0173486i | ||||
\(806\) | −2.00594 | − | 8.78858i | −0.0706561 | − | 0.309564i | ||||
\(807\) | −15.4401 | + | 10.5269i | −0.543516 | + | 0.370563i | ||||
\(808\) | 45.1523 | − | 41.8952i | 1.58845 | − | 1.47387i | ||||
\(809\) | 22.2720 | − | 10.7256i | 0.783041 | − | 0.377093i | 0.000745138 | − | 1.00000i | \(-0.499763\pi\) |
0.782296 | + | 0.622907i | \(0.214049\pi\) | |||||||
\(810\) | −6.88526 | − | 11.9256i | −0.241923 | − | 0.419024i | ||||
\(811\) | 11.1420 | − | 19.2986i | 0.391249 | − | 0.677664i | −0.601365 | − | 0.798974i | \(-0.705376\pi\) |
0.992615 | + | 0.121310i | \(0.0387097\pi\) | |||||||
\(812\) | −4.25693 | + | 56.8048i | −0.149389 | + | 1.99346i | ||||
\(813\) | −4.96330 | + | 21.7456i | −0.174071 | + | 0.762653i | ||||
\(814\) | 0.252117 | + | 0.642384i | 0.00883670 | + | 0.0225156i | ||||
\(815\) | 1.27680 | + | 1.60106i | 0.0447244 | + | 0.0560826i | ||||
\(816\) | −44.8966 | −1.57170 | ||||||||
\(817\) | −23.7301 | − | 12.0882i | −0.830210 | − | 0.422912i | ||||
\(818\) | −18.7387 | −0.655183 | ||||||||
\(819\) | −3.86810 | − | 4.85044i | −0.135162 | − | 0.169488i | ||||
\(820\) | 0.335514 | + | 0.854877i | 0.0117167 | + | 0.0298536i | ||||
\(821\) | −11.3396 | + | 49.6819i | −0.395753 | + | 1.73391i | 0.248077 | + | 0.968740i | \(0.420202\pi\) |
−0.643830 | + | 0.765169i | \(0.722656\pi\) | |||||||
\(822\) | −3.61967 | + | 48.3012i | −0.126251 | + | 1.68470i | ||||
\(823\) | 7.72992 | − | 13.3886i | 0.269448 | − | 0.466698i | −0.699271 | − | 0.714856i | \(-0.746492\pi\) |
0.968719 | + | 0.248158i | \(0.0798254\pi\) | |||||||
\(824\) | 47.5515 | + | 82.3616i | 1.65653 | + | 2.86920i | ||||
\(825\) | −2.44463 | + | 1.17727i | −0.0851111 | + | 0.0409874i | ||||
\(826\) | −40.1127 | + | 37.2192i | −1.39570 | + | 1.29502i | ||||
\(827\) | 15.9404 | − | 10.8680i | 0.554304 | − | 0.377918i | −0.253531 | − | 0.967327i | \(-0.581592\pi\) |
0.807834 | + | 0.589409i | \(0.200640\pi\) | |||||||
\(828\) | −2.10649 | − | 9.22913i | −0.0732056 | − | 0.320734i | ||||
\(829\) | −32.4810 | + | 4.89573i | −1.12811 | + | 0.170036i | −0.686472 | − | 0.727156i | \(-0.740841\pi\) |
−0.441641 | + | 0.897192i | \(0.645603\pi\) | |||||||
\(830\) | −29.2603 | − | 19.9493i | −1.01564 | − | 0.692452i | ||||
\(831\) | 12.6390 | − | 32.2037i | 0.438443 | − | 1.11713i | ||||
\(832\) | 122.130 | − | 37.6720i | 4.23408 | − | 1.30604i | ||||
\(833\) | 5.53873 | + | 2.66731i | 0.191906 | + | 0.0924169i | ||||
\(834\) | −1.33984 | − | 17.8789i | −0.0463947 | − | 0.619095i | ||||
\(835\) | 21.1352 | + | 3.18562i | 0.731415 | + | 0.110243i | ||||
\(836\) | 7.53896 | + | 6.99513i | 0.260740 | + | 0.241932i | ||||
\(837\) | −5.02563 | − | 1.55020i | −0.173711 | − | 0.0535828i | ||||
\(838\) | 20.5234 | − | 25.7355i | 0.708969 | − | 0.889019i | ||||
\(839\) | −4.90787 | + | 6.15427i | −0.169438 | + | 0.212469i | −0.859300 | − | 0.511473i | \(-0.829100\pi\) |
0.689861 | + | 0.723942i | \(0.257672\pi\) | |||||||
\(840\) | 24.5350 | + | 7.56806i | 0.846539 | + | 0.261123i | ||||
\(841\) | 1.26652 | + | 1.17516i | 0.0436730 | + | 0.0405226i | ||||
\(842\) | 22.1730 | + | 3.34204i | 0.764132 | + | 0.115174i | ||||
\(843\) | −1.07479 | − | 14.3421i | −0.0370177 | − | 0.493967i | ||||
\(844\) | 100.850 | + | 48.5667i | 3.47139 | + | 1.67173i | ||||
\(845\) | −0.587560 | + | 0.181238i | −0.0202127 | + | 0.00623479i | ||||
\(846\) | −7.11880 | + | 18.1384i | −0.244749 | + | 0.623611i | ||||
\(847\) | −17.3332 | − | 11.8176i | −0.595577 | − | 0.406058i | ||||
\(848\) | 166.129 | − | 25.0399i | 5.70490 | − | 0.859875i | ||||
\(849\) | −4.48896 | − | 19.6674i | −0.154061 | − | 0.674984i | ||||
\(850\) | 18.0819 | − | 12.3280i | 0.620204 | − | 0.422848i | ||||
\(851\) | −0.753708 | + | 0.699339i | −0.0258368 | + | 0.0239730i | ||||
\(852\) | −41.4500 | + | 19.9613i | −1.42005 | + | 0.683861i | ||||
\(853\) | 0.698964 | + | 1.21064i | 0.0239321 | + | 0.0414516i | 0.877743 | − | 0.479131i | \(-0.159048\pi\) |
−0.853811 | + | 0.520583i | \(0.825715\pi\) | |||||||
\(854\) | 15.0603 | − | 26.0852i | 0.515353 | − | 0.892617i | ||||
\(855\) | 0.252933 | − | 3.37516i | 0.00865013 | − | 0.115428i | ||||
\(856\) | −10.0665 | + | 44.1040i | −0.344064 | + | 1.50744i | ||||
\(857\) | −20.5503 | − | 52.3614i | −0.701986 | − | 1.78863i | −0.609307 | − | 0.792934i | \(-0.708552\pi\) |
−0.0926784 | − | 0.995696i | \(-0.529543\pi\) | |||||||
\(858\) | 3.94005 | + | 4.94067i | 0.134511 | + | 0.168672i | ||||
\(859\) | −13.0903 | −0.446635 | −0.223317 | − | 0.974746i | \(-0.571689\pi\) | ||||
−0.223317 | + | 0.974746i | \(0.571689\pi\) | |||||||
\(860\) | −33.7297 | − | 0.753753i | −1.15017 | − | 0.0257027i | ||||
\(861\) | −0.501490 | −0.0170907 | ||||||||
\(862\) | 23.0747 | + | 28.9348i | 0.785927 | + | 0.985522i | ||||
\(863\) | −10.2189 | − | 26.0374i | −0.347856 | − | 0.886322i | −0.992545 | − | 0.121877i | \(-0.961109\pi\) |
0.644690 | − | 0.764445i | \(-0.276987\pi\) | |||||||
\(864\) | 31.4405 | − | 137.750i | 1.06963 | − | 4.68634i | ||||
\(865\) | −0.105100 | + | 1.40246i | −0.00357349 | + | 0.0476849i | ||||
\(866\) | 14.4743 | − | 25.0702i | 0.491856 | − | 0.851920i | ||||
\(867\) | −9.66245 | − | 16.7359i | −0.328154 | − | 0.568380i | ||||
\(868\) | 9.14392 | − | 4.40348i | 0.310365 | − | 0.149464i | ||||
\(869\) | 0.748082 | − | 0.694119i | 0.0253770 | − | 0.0235464i | ||||
\(870\) | −15.7778 | + | 10.7571i | −0.534916 | + | 0.364700i | ||||
\(871\) | −0.860202 | − | 3.76879i | −0.0291468 | − | 0.127701i | ||||
\(872\) | −157.929 | + | 23.8039i | −5.34814 | + | 0.806103i | ||||
\(873\) | −12.7053 | − | 8.66230i | −0.430008 | − | 0.293174i | ||||
\(874\) | −7.59252 | + | 19.3454i | −0.256821 | + | 0.654369i | ||||
\(875\) | −15.5879 | + | 4.80822i | −0.526966 | + | 0.162547i | ||||
\(876\) | 103.741 | + | 49.9591i | 3.50509 | + | 1.68796i | ||||
\(877\) | −2.80162 | − | 37.3850i | −0.0946039 | − | 1.26240i | −0.819313 | − | 0.573347i | \(-0.805645\pi\) |
0.724709 | − | 0.689055i | \(-0.241974\pi\) | |||||||
\(878\) | −65.6815 | − | 9.89990i | −2.21664 | − | 0.334105i | ||||
\(879\) | −18.1776 | − | 16.8663i | −0.613114 | − | 0.568886i | ||||
\(880\) | 6.43408 | + | 1.98465i | 0.216893 | + | 0.0669026i | ||||
\(881\) | 20.0677 | − | 25.1641i | 0.676098 | − | 0.847800i | −0.318890 | − | 0.947792i | \(-0.603310\pi\) |
0.994988 | + | 0.0999917i | \(0.0318816\pi\) | |||||||
\(882\) | −5.04422 | + | 6.32525i | −0.169848 | + | 0.212982i | ||||
\(883\) | −5.12237 | − | 1.58004i | −0.172381 | − | 0.0531726i | 0.207363 | − | 0.978264i | \(-0.433512\pi\) |
−0.379744 | + | 0.925091i | \(0.623988\pi\) | |||||||
\(884\) | −27.5484 | − | 25.5612i | −0.926553 | − | 0.859715i | ||||
\(885\) | −13.3740 | − | 2.01581i | −0.449563 | − | 0.0677607i | ||||
\(886\) | 3.63488 | + | 48.5040i | 0.122116 | + | 1.62953i | ||||
\(887\) | 37.9003 | + | 18.2518i | 1.27257 | + | 0.612836i | 0.943470 | − | 0.331459i | \(-0.107541\pi\) |
0.329098 | + | 0.944296i | \(0.393255\pi\) | |||||||
\(888\) | −7.63839 | + | 2.35613i | −0.256328 | + | 0.0790666i | ||||
\(889\) | −9.34077 | + | 23.7999i | −0.313280 | + | 0.798223i | ||||
\(890\) | −0.820227 | − | 0.559222i | −0.0274941 | − | 0.0187451i | ||||
\(891\) | 2.42886 | − | 0.366091i | 0.0813698 | − | 0.0122645i | ||||
\(892\) | 1.85983 | + | 8.14843i | 0.0622716 | + | 0.272830i | ||||
\(893\) | 26.0595 | − | 17.7671i | 0.872049 | − | 0.594553i | ||||
\(894\) | 27.4809 | − | 25.4986i | 0.919100 | − | 0.852800i | ||||
\(895\) | 5.39130 | − | 2.59631i | 0.180211 | − | 0.0867852i | ||||
\(896\) | 49.0081 | + | 84.8845i | 1.63725 | + | 2.83579i | ||||
\(897\) | −4.70769 | + | 8.15395i | −0.157185 | + | 0.272252i | ||||
\(898\) | −4.77752 | + | 63.7516i | −0.159428 | + | 2.12742i | ||||
\(899\) | −1.08122 | + | 4.73713i | −0.0360607 | + | 0.157992i | ||||
\(900\) | 7.75809 | + | 19.7673i | 0.258603 | + | 0.658910i | ||||
\(901\) | −12.2624 | − | 15.3766i | −0.408520 | − | 0.512268i | ||||
\(902\) | −0.222172 | −0.00739751 | ||||||||
\(903\) | 7.11229 | − | 16.9952i | 0.236682 | − | 0.565565i | ||||
\(904\) | −129.636 | −4.31164 | ||||||||
\(905\) | 10.8884 | + | 13.6536i | 0.361942 | + | 0.453861i | ||||
\(906\) | −12.1014 | − | 30.8339i | −0.402043 | − | 1.02439i | ||||
\(907\) | 11.0757 | − | 48.5257i | 0.367762 | − | 1.61127i | −0.365151 | − | 0.930948i | \(-0.618983\pi\) |
0.732913 | − | 0.680322i | \(-0.238160\pi\) | |||||||
\(908\) | −10.3503 | + | 138.116i | −0.343488 | + | 4.58353i | ||||
\(909\) | 2.80850 | − | 4.86447i | 0.0931522 | − | 0.161344i | ||||
\(910\) | 8.62702 | + | 14.9424i | 0.285983 | + | 0.495337i | ||||
\(911\) | −30.3278 | + | 14.6051i | −1.00481 | + | 0.483889i | −0.862567 | − | 0.505943i | \(-0.831144\pi\) |
−0.142239 | + | 0.989832i | \(0.545430\pi\) | |||||||
\(912\) | −70.1076 | + | 65.0503i | −2.32149 | + | 2.15403i | ||||
\(913\) | 5.21926 | − | 3.55843i | 0.172732 | − | 0.117767i | ||||
\(914\) | 13.9090 | + | 60.9394i | 0.460070 | + | 2.01570i | ||||
\(915\) | 7.36170 | − | 1.10960i | 0.243370 | − | 0.0366821i | ||||
\(916\) | 71.5623 | + | 48.7903i | 2.36448 | + | 1.61208i | ||||
\(917\) | 2.16038 | − | 5.50456i | 0.0713420 | − | 0.181776i | ||||
\(918\) | −28.4153 | + | 8.76497i | −0.937846 | + | 0.289287i | ||||
\(919\) | −1.21942 | − | 0.587240i | −0.0402248 | − | 0.0193712i | 0.413663 | − | 0.910430i | \(-0.364249\pi\) |
−0.453888 | + | 0.891059i | \(0.649963\pi\) | |||||||
\(920\) | 1.26651 | + | 16.9004i | 0.0417557 | + | 0.557191i | ||||
\(921\) | 30.1475 | + | 4.54401i | 0.993394 | + | 0.149730i | ||||
\(922\) | −55.7807 | − | 51.7569i | −1.83704 | − | 1.70452i | ||||
\(923\) | −19.0173 | − | 5.86606i | −0.625963 | − | 0.193084i | ||||
\(924\) | −4.43587 | + | 5.56240i | −0.145929 | + | 0.182990i | ||||
\(925\) | 1.43802 | − | 1.80322i | 0.0472819 | − | 0.0592897i | ||||
\(926\) | −28.1154 | − | 8.67247i | −0.923931 | − | 0.284995i | ||||
\(927\) | 6.35754 | + | 5.89894i | 0.208809 | + | 0.193746i | ||||
\(928\) | −129.079 | − | 19.4556i | −4.23723 | − | 0.638660i | ||||
\(929\) | 2.76821 | + | 36.9392i | 0.0908219 | + | 1.21193i | 0.837383 | + | 0.546617i | \(0.184085\pi\) |
−0.746561 | + | 0.665317i | \(0.768296\pi\) | |||||||
\(930\) | 3.06529 | + | 1.47616i | 0.100515 | + | 0.0484053i | ||||
\(931\) | 12.5136 | − | 3.85992i | 0.410116 | − | 0.126504i | ||||
\(932\) | 42.0464 | − | 107.133i | 1.37728 | − | 3.50924i | ||||
\(933\) | −7.69744 | − | 5.24802i | −0.252003 | − | 0.171813i | ||||
\(934\) | 13.8017 | − | 2.08026i | 0.451604 | − | 0.0680683i | ||||
\(935\) | −0.175395 | − | 0.768455i | −0.00573602 | − | 0.0251312i | ||||
\(936\) | 26.3048 | − | 17.9343i | 0.859798 | − | 0.586201i | ||||
\(937\) | −1.98566 | + | 1.84242i | −0.0648686 | + | 0.0601893i | −0.711941 | − | 0.702239i | \(-0.752184\pi\) |
0.647072 | + | 0.762429i | \(0.275993\pi\) | |||||||
\(938\) | 5.31817 | − | 2.56110i | 0.173644 | − | 0.0836227i | ||||
\(939\) | 4.98396 | + | 8.63248i | 0.162646 | + | 0.281710i | ||||
\(940\) | 19.9781 | − | 34.6031i | 0.651614 | − | 1.12863i | ||||
\(941\) | 1.22530 | − | 16.3505i | 0.0399436 | − | 0.533011i | −0.940960 | − | 0.338517i | \(-0.890075\pi\) |
0.980904 | − | 0.194493i | \(-0.0623063\pi\) | |||||||
\(942\) | 8.65695 | − | 37.9286i | 0.282059 | − | 1.23578i | ||||
\(943\) | −0.120935 | − | 0.308137i | −0.00393818 | − | 0.0100343i | ||||
\(944\) | −103.636 | − | 129.956i | −3.37307 | − | 4.22969i | ||||
\(945\) | 10.0663 | 0.327458 | ||||||||
\(946\) | 3.15091 | − | 7.52927i | 0.102445 | − | 0.244798i | ||||
\(947\) | 13.5238 | 0.439463 | 0.219731 | − | 0.975560i | \(-0.429482\pi\) | ||||
0.219731 | + | 0.975560i | \(0.429482\pi\) | |||||||
\(948\) | 11.4492 | + | 14.3568i | 0.371853 | + | 0.466288i | ||||
\(949\) | 18.1975 | + | 46.3663i | 0.590714 | + | 1.50512i | ||||
\(950\) | 10.3735 | − | 45.4494i | 0.336562 | − | 1.47457i | ||||
\(951\) | −0.123713 | + | 1.65083i | −0.00401165 | + | 0.0535318i | ||||
\(952\) | 18.4696 | − | 31.9903i | 0.598603 | − | 1.03681i | ||||
\(953\) | 15.5635 | + | 26.9569i | 0.504153 | + | 0.873218i | 0.999988 | + | 0.00480189i | \(0.00152849\pi\) |
−0.495836 | + | 0.868416i | \(0.665138\pi\) | |||||||
\(954\) | 23.3196 | − | 11.2301i | 0.754999 | − | 0.363588i | ||||
\(955\) | 10.7763 | − | 9.99897i | 0.348714 | − | 0.323559i | ||||
\(956\) | 59.7969 | − | 40.7688i | 1.93397 | − | 1.31856i | ||||
\(957\) | −0.757950 | − | 3.32079i | −0.0245010 | − | 0.107346i | ||||
\(958\) | −94.5896 | + | 14.2571i | −3.05605 | + | 0.460626i | ||||
\(959\) | −19.4907 | − | 13.2885i | −0.629387 | − | 0.429109i | ||||
\(960\) | −17.6226 | + | 44.9018i | −0.568768 | + | 1.44920i | ||||
\(961\) | −28.7955 | + | 8.88224i | −0.928888 | + | 0.286524i | ||||
\(962\) | −4.83967 | − | 2.33066i | −0.156037 | − | 0.0751436i | ||||
\(963\) | 0.308291 | + | 4.11386i | 0.00993455 | + | 0.132567i | ||||
\(964\) | 42.1923 | + | 6.35946i | 1.35892 | + | 0.204824i | ||||
\(965\) | 4.21287 | + | 3.90897i | 0.135617 | + | 0.125834i | ||||
\(966\) | −13.7380 | − | 4.23762i | −0.442013 | − | 0.136343i | ||||
\(967\) | −0.697559 | + | 0.874712i | −0.0224320 | + | 0.0281288i | −0.792921 | − | 0.609324i | \(-0.791441\pi\) |
0.770489 | + | 0.637453i | \(0.220012\pi\) | |||||||
\(968\) | 67.1219 | − | 84.1682i | 2.15738 | − | 2.70527i | ||||
\(969\) | 10.6984 | + | 3.30001i | 0.343681 | + | 0.106011i | ||||
\(970\) | 31.3498 | + | 29.0884i | 1.00658 | + | 0.933972i | ||||
\(971\) | −42.2187 | − | 6.36345i | −1.35486 | − | 0.204213i | −0.568860 | − | 0.822435i | \(-0.692615\pi\) |
−0.786004 | + | 0.618222i | \(0.787853\pi\) | |||||||
\(972\) | −3.81098 | − | 50.8540i | −0.122237 | − | 1.63114i | ||||
\(973\) | 7.86708 | + | 3.78858i | 0.252207 | + | 0.121456i | ||||
\(974\) | 63.2039 | − | 19.4958i | 2.02519 | − | 0.624687i | ||||
\(975\) | 7.71621 | − | 19.6606i | 0.247116 | − | 0.629642i | ||||
\(976\) | 75.5968 | + | 51.5410i | 2.41979 | + | 1.64979i | ||||
\(977\) | 11.1357 | − | 1.67844i | 0.356264 | − | 0.0536981i | 0.0315278 | − | 0.999503i | \(-0.489963\pi\) |
0.324736 | + | 0.945805i | \(0.394725\pi\) | |||||||
\(978\) | −1.98368 | − | 8.69107i | −0.0634311 | − | 0.277910i | ||||
\(979\) | 0.146307 | − | 0.0997501i | 0.00467598 | − | 0.00318803i | ||||
\(980\) | 12.1612 | − | 11.2839i | 0.388475 | − | 0.360452i | ||||
\(981\) | −13.1223 | + | 6.31936i | −0.418962 | + | 0.201762i | ||||
\(982\) | −3.46693 | − | 6.00490i | −0.110634 | − | 0.191624i | ||||
\(983\) | −4.19746 | + | 7.27021i | −0.133878 | + | 0.231884i | −0.925168 | − | 0.379557i | \(-0.876076\pi\) |
0.791290 | + | 0.611441i | \(0.209410\pi\) | |||||||
\(984\) | 0.192317 | − | 2.56630i | 0.00613085 | − | 0.0818105i | ||||
\(985\) | −2.21997 | + | 9.72634i | −0.0707342 | + | 0.309907i | ||||
\(986\) | 10.0370 | + | 25.5738i | 0.319643 | + | 0.814436i | ||||
\(987\) | 13.6039 | + | 17.0587i | 0.433016 | + | 0.542985i | ||||
\(988\) | −80.0531 | −2.54683 | ||||||||
\(989\) | 12.1577 | + | 0.271687i | 0.386593 | + | 0.00863916i | ||||
\(990\) | 1.03731 | 0.0329680 | ||||||||
\(991\) | 25.7233 | + | 32.2560i | 0.817129 | + | 1.02465i | 0.999145 | + | 0.0413515i | \(0.0131663\pi\) |
−0.182016 | + | 0.983296i | \(0.558262\pi\) | |||||||
\(992\) | 8.49677 | + | 21.6494i | 0.269773 | + | 0.687370i | ||||
\(993\) | −3.17858 | + | 13.9263i | −0.100869 | + | 0.441937i | ||||
\(994\) | 2.27093 | − | 30.3035i | 0.0720295 | − | 0.961167i | ||||
\(995\) | 2.20185 | − | 3.81372i | 0.0698035 | − | 0.120903i | ||||
\(996\) | 56.8334 | + | 98.4384i | 1.80084 | + | 3.11914i | ||||
\(997\) | −54.1007 | + | 26.0535i | −1.71339 | + | 0.825124i | −0.722352 | + | 0.691526i | \(0.756939\pi\) |
−0.991036 | + | 0.133598i | \(0.957347\pi\) | |||||||
\(998\) | 30.8401 | − | 28.6154i | 0.976226 | − | 0.905805i | ||||
\(999\) | −2.58936 | + | 1.76540i | −0.0819237 | + | 0.0558547i |
(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 | 43.2.g.a.23.1 | yes | 36 | |
3.2 | odd | 2 | 387.2.y.c.109.3 | 36 | |||
4.3 | odd | 2 | 688.2.bg.c.625.2 | 36 | |||
43.12 | odd | 42 | 1849.2.a.o.1.18 | 18 | |||
43.15 | even | 21 | inner | 43.2.g.a.15.1 | ✓ | 36 | |
43.31 | even | 21 | 1849.2.a.n.1.1 | 18 | |||
129.101 | odd | 42 | 387.2.y.c.316.3 | 36 | |||
172.15 | odd | 42 | 688.2.bg.c.273.2 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.15.1 | ✓ | 36 | 43.15 | even | 21 | inner | |
43.2.g.a.23.1 | yes | 36 | 1.1 | even | 1 | trivial | |
387.2.y.c.109.3 | 36 | 3.2 | odd | 2 | |||
387.2.y.c.316.3 | 36 | 129.101 | odd | 42 | |||
688.2.bg.c.273.2 | 36 | 172.15 | odd | 42 | |||
688.2.bg.c.625.2 | 36 | 4.3 | odd | 2 | |||
1849.2.a.n.1.1 | 18 | 43.31 | even | 21 | |||
1849.2.a.o.1.18 | 18 | 43.12 | odd | 42 |