Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(19,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.ba (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.19 | ||
Character | \(\chi\) | \(=\) | 280.19 |
Dual form | 280.2.ba.b.59.19 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.175210 | − | 1.40332i | −0.123892 | − | 0.992296i | ||||
\(3\) | 0.833565 | + | 1.44378i | 0.481259 | + | 0.833565i | 0.999769 | − | 0.0215069i | \(-0.00684639\pi\) |
−0.518510 | + | 0.855072i | \(0.673513\pi\) | |||||||
\(4\) | −1.93860 | + | 0.491749i | −0.969302 | + | 0.245875i | ||||
\(5\) | 0.660510 | + | 2.13629i | 0.295389 | + | 0.955377i | ||||
\(6\) | 1.88003 | − | 1.42272i | 0.767519 | − | 0.580823i | ||||
\(7\) | −2.56833 | + | 0.635367i | −0.970737 | + | 0.240146i | ||||
\(8\) | 1.02974 | + | 2.63432i | 0.364069 | + | 0.931372i | ||||
\(9\) | 0.110340 | − | 0.191114i | 0.0367799 | − | 0.0637046i | ||||
\(10\) | 2.88216 | − | 1.30120i | 0.911420 | − | 0.411477i | ||||
\(11\) | −0.395322 | − | 0.684718i | −0.119194 | − | 0.206450i | 0.800254 | − | 0.599661i | \(-0.204698\pi\) |
−0.919449 | + | 0.393210i | \(0.871364\pi\) | |||||||
\(12\) | −2.32593 | − | 2.38900i | −0.671437 | − | 0.689646i | ||||
\(13\) | 6.84388i | 1.89815i | 0.315049 | + | 0.949076i | \(0.397979\pi\) | ||||
−0.315049 | + | 0.949076i | \(0.602021\pi\) | |||||||
\(14\) | 1.34162 | + | 3.49286i | 0.358562 | + | 0.933506i | ||||
\(15\) | −2.53375 | + | 2.73436i | −0.654210 | + | 0.706009i | ||||
\(16\) | 3.51636 | − | 1.90661i | 0.879091 | − | 0.476654i | ||||
\(17\) | 1.46309 | + | 2.53414i | 0.354851 | + | 0.614620i | 0.987092 | − | 0.160152i | \(-0.0511983\pi\) |
−0.632242 | + | 0.774771i | \(0.717865\pi\) | |||||||
\(18\) | −0.287526 | − | 0.121357i | −0.0677705 | − | 0.0286040i | ||||
\(19\) | 1.96683 | + | 1.13555i | 0.451222 | + | 0.260513i | 0.708346 | − | 0.705865i | \(-0.249442\pi\) |
−0.257124 | + | 0.966378i | \(0.582775\pi\) | |||||||
\(20\) | −2.33098 | − | 3.81661i | −0.521224 | − | 0.853420i | ||||
\(21\) | −3.05820 | − | 3.17847i | −0.667353 | − | 0.693600i | ||||
\(22\) | −0.891613 | + | 0.674732i | −0.190093 | + | 0.143853i | ||||
\(23\) | 0.946588 | − | 1.63954i | 0.197377 | − | 0.341867i | −0.750300 | − | 0.661098i | \(-0.770091\pi\) |
0.947677 | + | 0.319230i | \(0.103424\pi\) | |||||||
\(24\) | −2.94501 | + | 3.68259i | −0.601147 | + | 0.751706i | ||||
\(25\) | −4.12745 | + | 2.82208i | −0.825491 | + | 0.564416i | ||||
\(26\) | 9.60414 | − | 1.19911i | 1.88353 | − | 0.235165i | ||||
\(27\) | 5.36929 | 1.03332 | ||||||||
\(28\) | 4.66653 | − | 2.49470i | 0.881891 | − | 0.471454i | ||||
\(29\) | − | 2.46658i | − | 0.458033i | −0.973423 | − | 0.229017i | \(-0.926449\pi\) | ||
0.973423 | − | 0.229017i | \(-0.0735510\pi\) | |||||||
\(30\) | 4.28112 | + | 3.07656i | 0.781621 | + | 0.561701i | ||||
\(31\) | −2.87365 | − | 4.97731i | −0.516123 | − | 0.893951i | −0.999825 | − | 0.0187183i | \(-0.994041\pi\) |
0.483702 | − | 0.875233i | \(-0.339292\pi\) | |||||||
\(32\) | −3.29169 | − | 4.60052i | −0.581894 | − | 0.813265i | ||||
\(33\) | 0.659054 | − | 1.14151i | 0.114727 | − | 0.198712i | ||||
\(34\) | 3.29986 | − | 2.49718i | 0.565921 | − | 0.428263i | ||||
\(35\) | −3.05373 | − | 5.06702i | −0.516175 | − | 0.856483i | ||||
\(36\) | −0.119925 | + | 0.424753i | −0.0199874 | + | 0.0707922i | ||||
\(37\) | 2.59082 | − | 4.48744i | 0.425929 | − | 0.737730i | −0.570578 | − | 0.821243i | \(-0.693281\pi\) |
0.996507 | + | 0.0835133i | \(0.0266141\pi\) | |||||||
\(38\) | 1.24893 | − | 2.95905i | 0.202603 | − | 0.480021i | ||||
\(39\) | −9.88103 | + | 5.70482i | −1.58223 | + | 0.913502i | ||||
\(40\) | −4.94751 | + | 3.93982i | −0.782270 | + | 0.622940i | ||||
\(41\) | 3.71071i | 0.579516i | 0.957100 | + | 0.289758i | \(0.0935748\pi\) | ||||
−0.957100 | + | 0.289758i | \(0.906425\pi\) | |||||||
\(42\) | −3.92458 | + | 4.84852i | −0.605576 | + | 0.748143i | ||||
\(43\) | − | 9.52516i | − | 1.45257i | −0.687392 | − | 0.726286i | \(-0.741245\pi\) | ||
0.687392 | − | 0.726286i | \(-0.258755\pi\) | |||||||
\(44\) | 1.10308 | + | 1.13300i | 0.166296 | + | 0.170806i | ||||
\(45\) | 0.481155 | + | 0.109485i | 0.0717263 | + | 0.0163210i | ||||
\(46\) | −2.46665 | − | 1.04110i | −0.363687 | − | 0.153502i | ||||
\(47\) | 0.185107 | + | 0.106871i | 0.0270006 | + | 0.0155888i | 0.513440 | − | 0.858126i | \(-0.328371\pi\) |
−0.486439 | + | 0.873715i | \(0.661704\pi\) | |||||||
\(48\) | 5.68384 | + | 3.48756i | 0.820392 | + | 0.503386i | ||||
\(49\) | 6.19262 | − | 3.26366i | 0.884660 | − | 0.466237i | ||||
\(50\) | 4.68344 | + | 5.29768i | 0.662339 | + | 0.749204i | ||||
\(51\) | −2.43916 | + | 4.22474i | −0.341550 | + | 0.591582i | ||||
\(52\) | −3.36547 | − | 13.2676i | −0.466707 | − | 1.83988i | ||||
\(53\) | 3.21770 | + | 5.57322i | 0.441985 | + | 0.765540i | 0.997837 | − | 0.0657412i | \(-0.0209412\pi\) |
−0.555852 | + | 0.831281i | \(0.687608\pi\) | |||||||
\(54\) | −0.940751 | − | 7.53482i | −0.128020 | − | 1.02536i | ||||
\(55\) | 1.20164 | − | 1.29679i | 0.162029 | − | 0.174859i | ||||
\(56\) | −4.31847 | − | 6.11153i | −0.577080 | − | 0.816687i | ||||
\(57\) | 3.78622i | 0.501497i | ||||||||
\(58\) | −3.46140 | + | 0.432169i | −0.454504 | + | 0.0567466i | ||||
\(59\) | 0.430991 | − | 0.248833i | 0.0561102 | − | 0.0323953i | −0.471682 | − | 0.881768i | \(-0.656353\pi\) |
0.527793 | + | 0.849373i | \(0.323020\pi\) | |||||||
\(60\) | 3.56730 | − | 6.54681i | 0.460537 | − | 0.845190i | ||||
\(61\) | 5.87951 | − | 10.1836i | 0.752794 | − | 1.30388i | −0.193670 | − | 0.981067i | \(-0.562039\pi\) |
0.946464 | − | 0.322810i | \(-0.104628\pi\) | |||||||
\(62\) | −6.48126 | + | 4.90472i | −0.823120 | + | 0.622900i | ||||
\(63\) | −0.161961 | + | 0.560949i | −0.0204052 | + | 0.0706730i | ||||
\(64\) | −5.87926 | + | 5.42534i | −0.734908 | + | 0.678167i | ||||
\(65\) | −14.6205 | + | 4.52045i | −1.81345 | + | 0.560693i | ||||
\(66\) | −1.71738 | − | 0.724858i | −0.211395 | − | 0.0892238i | ||||
\(67\) | −2.83429 | + | 1.63638i | −0.346264 | + | 0.199916i | −0.663039 | − | 0.748585i | \(-0.730734\pi\) |
0.316774 | + | 0.948501i | \(0.397400\pi\) | |||||||
\(68\) | −4.08251 | − | 4.19322i | −0.495077 | − | 0.508503i | ||||
\(69\) | 3.15617 | 0.379958 | ||||||||
\(70\) | −6.57560 | + | 5.17315i | −0.785935 | + | 0.618309i | ||||
\(71\) | 4.40847i | 0.523189i | 0.965178 | + | 0.261594i | \(0.0842483\pi\) | ||||
−0.965178 | + | 0.261594i | \(0.915752\pi\) | |||||||
\(72\) | 0.617076 | + | 0.0938716i | 0.0727231 | + | 0.0110629i | ||||
\(73\) | 3.18360 | + | 5.51416i | 0.372612 | + | 0.645384i | 0.989967 | − | 0.141302i | \(-0.0451288\pi\) |
−0.617354 | + | 0.786685i | \(0.711795\pi\) | |||||||
\(74\) | −6.75124 | − | 2.84951i | −0.784816 | − | 0.331248i | ||||
\(75\) | −7.51495 | − | 3.60674i | −0.867752 | − | 0.416470i | ||||
\(76\) | −4.37131 | − | 1.23419i | −0.501424 | − | 0.141572i | ||||
\(77\) | 1.45036 | + | 1.50741i | 0.165284 | + | 0.171785i | ||||
\(78\) | 9.73693 | + | 12.8667i | 1.10249 | + | 1.45687i | ||||
\(79\) | 5.25074 | + | 3.03152i | 0.590755 | + | 0.341072i | 0.765396 | − | 0.643560i | \(-0.222543\pi\) |
−0.174641 | + | 0.984632i | \(0.555877\pi\) | |||||||
\(80\) | 6.39567 | + | 6.25263i | 0.715058 | + | 0.699065i | ||||
\(81\) | 4.14463 | + | 7.17871i | 0.460515 | + | 0.797635i | ||||
\(82\) | 5.20731 | − | 0.650152i | 0.575051 | − | 0.0717973i | ||||
\(83\) | −13.5430 | −1.48654 | −0.743271 | − | 0.668990i | \(-0.766727\pi\) | ||||
−0.743271 | + | 0.668990i | \(0.766727\pi\) | |||||||
\(84\) | 7.49164 | + | 4.65793i | 0.817405 | + | 0.508222i | ||||
\(85\) | −4.44727 | + | 4.79940i | −0.482375 | + | 0.520568i | ||||
\(86\) | −13.3668 | + | 1.66890i | −1.44138 | + | 0.179962i | ||||
\(87\) | 3.56120 | − | 2.05606i | 0.381800 | − | 0.220432i | ||||
\(88\) | 1.39669 | − | 1.74649i | 0.148887 | − | 0.186176i | ||||
\(89\) | −9.86730 | − | 5.69689i | −1.04593 | − | 0.603869i | −0.124424 | − | 0.992229i | \(-0.539708\pi\) |
−0.921508 | + | 0.388360i | \(0.873042\pi\) | |||||||
\(90\) | 0.0693390 | − | 0.694396i | 0.00730897 | − | 0.0731957i | ||||
\(91\) | −4.34837 | − | 17.5773i | −0.455833 | − | 1.84261i | ||||
\(92\) | −1.02882 | + | 3.64390i | −0.107262 | + | 0.379903i | ||||
\(93\) | 4.79075 | − | 8.29782i | 0.496777 | − | 0.860444i | ||||
\(94\) | 0.117542 | − | 0.278488i | 0.0121235 | − | 0.0287239i | ||||
\(95\) | −1.12675 | + | 4.95176i | −0.115602 | + | 0.508040i | ||||
\(96\) | 3.89829 | − | 8.58729i | 0.397868 | − | 0.876437i | ||||
\(97\) | 13.0656 | 1.32661 | 0.663303 | − | 0.748351i | \(-0.269154\pi\) | ||||
0.663303 | + | 0.748351i | \(0.269154\pi\) | |||||||
\(98\) | −5.66496 | − | 8.11839i | −0.572247 | − | 0.820081i | ||||
\(99\) | −0.174479 | −0.0175358 | ||||||||
\(100\) | 6.61374 | − | 7.50056i | 0.661374 | − | 0.750056i | ||||
\(101\) | 5.16640 | + | 8.94847i | 0.514076 | + | 0.890406i | 0.999867 | + | 0.0163310i | \(0.00519856\pi\) |
−0.485790 | + | 0.874075i | \(0.661468\pi\) | |||||||
\(102\) | 6.35602 | + | 2.68270i | 0.629340 | + | 0.265627i | ||||
\(103\) | −17.1988 | − | 9.92971i | −1.69464 | − | 0.978403i | −0.950675 | − | 0.310189i | \(-0.899608\pi\) |
−0.743969 | − | 0.668214i | \(-0.767059\pi\) | |||||||
\(104\) | −18.0290 | + | 7.04744i | −1.76788 | + | 0.691058i | ||||
\(105\) | 4.77017 | − | 8.63260i | 0.465521 | − | 0.842455i | ||||
\(106\) | 7.25722 | − | 5.49193i | 0.704884 | − | 0.533424i | ||||
\(107\) | 13.9595 | + | 8.05950i | 1.34951 | + | 0.779142i | 0.988180 | − | 0.153295i | \(-0.0489885\pi\) |
0.361333 | + | 0.932437i | \(0.382322\pi\) | |||||||
\(108\) | −10.4089 | + | 2.64035i | −1.00160 | + | 0.254067i | ||||
\(109\) | 12.8463 | − | 7.41679i | 1.23045 | − | 0.710400i | 0.263326 | − | 0.964707i | \(-0.415181\pi\) |
0.967124 | + | 0.254307i | \(0.0818473\pi\) | |||||||
\(110\) | −2.03034 | − | 1.45908i | −0.193585 | − | 0.139117i | ||||
\(111\) | 8.63847 | 0.819928 | ||||||||
\(112\) | −7.81978 | + | 7.13099i | −0.738900 | + | 0.673815i | ||||
\(113\) | − | 4.32459i | − | 0.406823i | −0.979093 | − | 0.203411i | \(-0.934797\pi\) | ||
0.979093 | − | 0.203411i | \(-0.0652029\pi\) | |||||||
\(114\) | 5.31327 | − | 0.663381i | 0.497633 | − | 0.0621314i | ||||
\(115\) | 4.12776 | + | 0.939254i | 0.384915 | + | 0.0875859i | ||||
\(116\) | 1.21294 | + | 4.78173i | 0.112619 | + | 0.443972i | ||||
\(117\) | 1.30796 | + | 0.755151i | 0.120921 | + | 0.0698138i | ||||
\(118\) | −0.424705 | − | 0.561220i | −0.0390973 | − | 0.0516644i | ||||
\(119\) | −5.36780 | − | 5.57891i | −0.492065 | − | 0.511418i | ||||
\(120\) | −9.81229 | − | 3.85900i | −0.895735 | − | 0.352277i | ||||
\(121\) | 5.18744 | − | 8.98491i | 0.471585 | − | 0.816810i | ||||
\(122\) | −15.3210 | − | 6.46655i | −1.38710 | − | 0.585454i | ||||
\(123\) | −5.35744 | + | 3.09312i | −0.483064 | + | 0.278897i | ||||
\(124\) | 8.01846 | + | 8.23591i | 0.720079 | + | 0.739607i | ||||
\(125\) | −8.75499 | − | 6.95342i | −0.783071 | − | 0.621933i | ||||
\(126\) | 0.815567 | + | 0.128999i | 0.0726565 | + | 0.0114922i | ||||
\(127\) | 4.67057 | 0.414446 | 0.207223 | − | 0.978294i | \(-0.433557\pi\) | ||||
0.207223 | + | 0.978294i | \(0.433557\pi\) | |||||||
\(128\) | 8.64358 | + | 7.29990i | 0.763992 | + | 0.645226i | ||||
\(129\) | 13.7522 | − | 7.93983i | 1.21081 | − | 0.699063i | ||||
\(130\) | 8.90528 | + | 19.7252i | 0.781045 | + | 1.73001i | ||||
\(131\) | 13.4161 | + | 7.74576i | 1.17217 | + | 0.676750i | 0.954189 | − | 0.299204i | \(-0.0967209\pi\) |
0.217977 | + | 0.975954i | \(0.430054\pi\) | |||||||
\(132\) | −0.716304 | + | 2.53703i | −0.0623463 | + | 0.220820i | ||||
\(133\) | −5.77295 | − | 1.66681i | −0.500579 | − | 0.144530i | ||||
\(134\) | 2.79296 | + | 3.69071i | 0.241275 | + | 0.318829i | ||||
\(135\) | 3.54647 | + | 11.4703i | 0.305231 | + | 0.987210i | ||||
\(136\) | −5.16913 | + | 6.46375i | −0.443249 | + | 0.554262i | ||||
\(137\) | −12.5411 | + | 7.24059i | −1.07146 | + | 0.618606i | −0.928579 | − | 0.371135i | \(-0.878969\pi\) |
−0.142877 | + | 0.989740i | \(0.545635\pi\) | |||||||
\(138\) | −0.552991 | − | 4.42911i | −0.0470737 | − | 0.377031i | ||||
\(139\) | 10.9687i | 0.930349i | 0.885219 | + | 0.465175i | \(0.154008\pi\) | ||||
−0.885219 | + | 0.465175i | \(0.845992\pi\) | |||||||
\(140\) | 8.41168 | + | 8.32128i | 0.710917 | + | 0.703276i | ||||
\(141\) | 0.356337i | 0.0300090i | ||||||||
\(142\) | 6.18648 | − | 0.772405i | 0.519158 | − | 0.0648188i | ||||
\(143\) | 4.68613 | − | 2.70554i | 0.391874 | − | 0.226249i | ||||
\(144\) | 0.0236141 | − | 0.882401i | 0.00196784 | − | 0.0735334i | ||||
\(145\) | 5.26933 | − | 1.62920i | 0.437594 | − | 0.135298i | ||||
\(146\) | 7.18032 | − | 5.43374i | 0.594248 | − | 0.449699i | ||||
\(147\) | 9.87394 | + | 6.22029i | 0.814389 | + | 0.513041i | ||||
\(148\) | −2.81588 | + | 9.97340i | −0.231464 | + | 0.819808i | ||||
\(149\) | 12.7792 | + | 7.37808i | 1.04691 | + | 0.604436i | 0.921784 | − | 0.387704i | \(-0.126732\pi\) |
0.125130 | + | 0.992140i | \(0.460065\pi\) | |||||||
\(150\) | −3.74471 | + | 11.1778i | −0.305754 | + | 0.912664i | ||||
\(151\) | 13.6780 | − | 7.89697i | 1.11310 | − | 0.642647i | 0.173467 | − | 0.984840i | \(-0.444503\pi\) |
0.939630 | + | 0.342193i | \(0.111170\pi\) | |||||||
\(152\) | −0.966070 | + | 6.35058i | −0.0783586 | + | 0.515100i | ||||
\(153\) | 0.645746 | 0.0522055 | ||||||||
\(154\) | 1.86125 | − | 2.29944i | 0.149984 | − | 0.185294i | ||||
\(155\) | 8.73489 | − | 9.42651i | 0.701603 | − | 0.757155i | ||||
\(156\) | 16.3501 | − | 15.9184i | 1.30905 | − | 1.27449i | ||||
\(157\) | 8.15924 | − | 4.71074i | 0.651178 | − | 0.375958i | −0.137729 | − | 0.990470i | \(-0.543980\pi\) |
0.788907 | + | 0.614512i | \(0.210647\pi\) | |||||||
\(158\) | 3.33420 | − | 7.89961i | 0.265255 | − | 0.628459i | ||||
\(159\) | −5.36432 | + | 9.29127i | −0.425418 | + | 0.736846i | ||||
\(160\) | 7.65385 | − | 10.0707i | 0.605090 | − | 0.796157i | ||||
\(161\) | −1.38944 | + | 4.81230i | −0.109503 | + | 0.379263i | ||||
\(162\) | 9.34784 | − | 7.07402i | 0.734435 | − | 0.555787i | ||||
\(163\) | −4.19953 | − | 2.42460i | −0.328932 | − | 0.189909i | 0.326435 | − | 0.945220i | \(-0.394153\pi\) |
−0.655367 | + | 0.755311i | \(0.727486\pi\) | |||||||
\(164\) | −1.82474 | − | 7.19360i | −0.142488 | − | 0.561726i | ||||
\(165\) | 2.87391 | + | 0.653947i | 0.223734 | + | 0.0509097i | ||||
\(166\) | 2.37287 | + | 19.0052i | 0.184171 | + | 1.47509i | ||||
\(167\) | − | 10.5301i | − | 0.814840i | −0.913241 | − | 0.407420i | \(-0.866428\pi\) | ||
0.913241 | − | 0.407420i | \(-0.133572\pi\) | |||||||
\(168\) | 5.22395 | − | 11.3293i | 0.403037 | − | 0.874072i | ||||
\(169\) | −33.8387 | −2.60298 | ||||||||
\(170\) | 7.51429 | + | 5.40004i | 0.576320 | + | 0.414164i | ||||
\(171\) | 0.434039 | − | 0.250592i | 0.0331918 | − | 0.0191633i | ||||
\(172\) | 4.68399 | + | 18.4655i | 0.357151 | + | 1.40798i | ||||
\(173\) | −10.0480 | − | 5.80119i | −0.763933 | − | 0.441057i | 0.0667734 | − | 0.997768i | \(-0.478730\pi\) |
−0.830706 | + | 0.556712i | \(0.812063\pi\) | |||||||
\(174\) | −3.50926 | − | 4.63725i | −0.266036 | − | 0.351549i | ||||
\(175\) | 8.80760 | − | 9.87047i | 0.665792 | − | 0.746137i | ||||
\(176\) | −2.69559 | − | 1.65399i | −0.203188 | − | 0.124674i | ||||
\(177\) | 0.718518 | + | 0.414836i | 0.0540071 | + | 0.0311810i | ||||
\(178\) | −6.26570 | + | 14.8451i | −0.469634 | + | 1.11269i | ||||
\(179\) | 9.70530 | + | 16.8101i | 0.725408 | + | 1.25644i | 0.958806 | + | 0.284062i | \(0.0916822\pi\) |
−0.233398 | + | 0.972381i | \(0.574984\pi\) | |||||||
\(180\) | −0.986607 | + | 0.0243601i | −0.0735373 | + | 0.00181570i | ||||
\(181\) | −16.8009 | −1.24880 | −0.624401 | − | 0.781104i | \(-0.714657\pi\) | ||||
−0.624401 | + | 0.781104i | \(0.714657\pi\) | |||||||
\(182\) | −23.9047 | + | 9.18187i | −1.77194 | + | 0.680605i | ||||
\(183\) | 19.6038 | 1.44915 | ||||||||
\(184\) | 5.29381 | + | 0.805311i | 0.390265 | + | 0.0593683i | ||||
\(185\) | 11.2977 | + | 2.57075i | 0.830625 | + | 0.189005i | ||||
\(186\) | −12.4839 | − | 5.26909i | −0.915361 | − | 0.386348i | ||||
\(187\) | 1.15678 | − | 2.00361i | 0.0845923 | − | 0.146518i | ||||
\(188\) | −0.411402 | − | 0.116155i | −0.0300046 | − | 0.00847148i | ||||
\(189\) | −13.7901 | + | 3.41147i | −1.00308 | + | 0.248148i | ||||
\(190\) | 7.14631 | + | 0.713595i | 0.518448 | + | 0.0517697i | ||||
\(191\) | −9.58750 | − | 5.53535i | −0.693727 | − | 0.400524i | 0.111280 | − | 0.993789i | \(-0.464505\pi\) |
−0.805007 | + | 0.593266i | \(0.797838\pi\) | |||||||
\(192\) | −12.7337 | − | 3.96597i | −0.918977 | − | 0.286219i | ||||
\(193\) | −2.30035 | + | 1.32811i | −0.165583 | + | 0.0955994i | −0.580501 | − | 0.814259i | \(-0.697143\pi\) |
0.414918 | + | 0.909859i | \(0.363810\pi\) | |||||||
\(194\) | −2.28921 | − | 18.3351i | −0.164356 | − | 1.31639i | ||||
\(195\) | −18.7137 | − | 17.3406i | −1.34011 | − | 1.24179i | ||||
\(196\) | −10.4001 | + | 9.37216i | −0.742866 | + | 0.669440i | ||||
\(197\) | −9.96943 | −0.710292 | −0.355146 | − | 0.934811i | \(-0.615569\pi\) | ||||
−0.355146 | + | 0.934811i | \(0.615569\pi\) | |||||||
\(198\) | 0.0305704 | + | 0.244849i | 0.00217254 | + | 0.0174007i | ||||
\(199\) | 0.373969 | + | 0.647733i | 0.0265099 | + | 0.0459166i | 0.878976 | − | 0.476866i | \(-0.158227\pi\) |
−0.852466 | + | 0.522783i | \(0.824894\pi\) | |||||||
\(200\) | −11.6845 | − | 7.96701i | −0.826216 | − | 0.563353i | ||||
\(201\) | −4.72514 | − | 2.72806i | −0.333285 | − | 0.192422i | ||||
\(202\) | 11.6524 | − | 8.81797i | 0.819857 | − | 0.620430i | ||||
\(203\) | 1.56718 | + | 6.33500i | 0.109995 | + | 0.444630i | ||||
\(204\) | 2.65104 | − | 9.38955i | 0.185610 | − | 0.657400i | ||||
\(205\) | −7.92715 | + | 2.45096i | −0.553656 | + | 0.171183i | ||||
\(206\) | −10.9212 | + | 25.8751i | −0.760913 | + | 1.80280i | ||||
\(207\) | −0.208892 | − | 0.361812i | −0.0145190 | − | 0.0251477i | ||||
\(208\) | 13.0486 | + | 24.0656i | 0.904760 | + | 1.66865i | ||||
\(209\) | − | 1.79563i | − | 0.124207i | ||||||
\(210\) | −12.9501 | − | 5.18155i | −0.893639 | − | 0.357561i | ||||
\(211\) | −13.0773 | −0.900281 | −0.450140 | − | 0.892958i | \(-0.648626\pi\) | ||||
−0.450140 | + | 0.892958i | \(0.648626\pi\) | |||||||
\(212\) | −8.97847 | − | 9.22195i | −0.616644 | − | 0.633366i | ||||
\(213\) | −6.36484 | + | 3.67474i | −0.436112 | + | 0.251789i | ||||
\(214\) | 8.86422 | − | 21.0017i | 0.605945 | − | 1.43565i | ||||
\(215\) | 20.3485 | − | 6.29146i | 1.38775 | − | 0.429074i | ||||
\(216\) | 5.52899 | + | 14.1444i | 0.376200 | + | 0.962405i | ||||
\(217\) | 10.5429 | + | 10.9575i | 0.715698 | + | 0.743846i | ||||
\(218\) | −12.6589 | − | 16.7279i | −0.857370 | − | 1.13296i | ||||
\(219\) | −5.30748 | + | 9.19282i | −0.358646 | + | 0.621193i | ||||
\(220\) | −1.69181 | + | 3.10486i | −0.114062 | + | 0.209330i | ||||
\(221\) | −17.3434 | + | 10.0132i | −1.16664 | + | 0.673560i | ||||
\(222\) | −1.51354 | − | 12.1225i | −0.101582 | − | 0.813611i | ||||
\(223\) | − | 4.09586i | − | 0.274279i | −0.990552 | − | 0.137140i | \(-0.956209\pi\) | ||
0.990552 | − | 0.137140i | \(-0.0437909\pi\) | |||||||
\(224\) | 11.3771 | + | 9.72422i | 0.760168 | + | 0.649727i | ||||
\(225\) | 0.0839164 | + | 1.10020i | 0.00559443 | + | 0.0733467i | ||||
\(226\) | −6.06877 | + | 0.757709i | −0.403689 | + | 0.0504020i | ||||
\(227\) | 4.93818 | + | 8.55319i | 0.327759 | + | 0.567695i | 0.982067 | − | 0.188533i | \(-0.0603733\pi\) |
−0.654308 | + | 0.756228i | \(0.727040\pi\) | |||||||
\(228\) | −1.86187 | − | 7.33997i | −0.123305 | − | 0.486102i | ||||
\(229\) | −1.67919 | + | 2.90845i | −0.110964 | + | 0.192196i | −0.916159 | − | 0.400814i | \(-0.868727\pi\) |
0.805195 | + | 0.593010i | \(0.202061\pi\) | |||||||
\(230\) | 0.594849 | − | 5.95712i | 0.0392232 | − | 0.392801i | ||||
\(231\) | −0.967386 | + | 3.35052i | −0.0636493 | + | 0.220448i | ||||
\(232\) | 6.49776 | − | 2.53995i | 0.426599 | − | 0.166756i | ||||
\(233\) | −17.2096 | − | 9.93598i | −1.12744 | − | 0.650927i | −0.184150 | − | 0.982898i | \(-0.558953\pi\) |
−0.943290 | + | 0.331971i | \(0.892286\pi\) | |||||||
\(234\) | 0.830550 | − | 1.96779i | 0.0542948 | − | 0.128639i | ||||
\(235\) | −0.106043 | + | 0.466031i | −0.00691750 | + | 0.0304005i | ||||
\(236\) | −0.713157 | + | 0.694328i | −0.0464226 | + | 0.0451969i | ||||
\(237\) | 10.1079i | 0.656576i | ||||||||
\(238\) | −6.88850 | + | 8.51021i | −0.446515 | + | 0.551635i | ||||
\(239\) | − | 6.74480i | − | 0.436285i | −0.975917 | − | 0.218142i | \(-0.930000\pi\) | ||
0.975917 | − | 0.218142i | \(-0.0699997\pi\) | |||||||
\(240\) | −3.69620 | + | 14.4459i | −0.238589 | + | 0.932478i | ||||
\(241\) | −1.18354 | + | 0.683317i | −0.0762385 | + | 0.0440163i | −0.537635 | − | 0.843178i | \(-0.680682\pi\) |
0.461396 | + | 0.887194i | \(0.347349\pi\) | |||||||
\(242\) | −13.5176 | − | 5.70539i | −0.868943 | − | 0.366756i | ||||
\(243\) | 1.14430 | − | 1.98198i | 0.0734067 | − | 0.127144i | ||||
\(244\) | −6.39025 | + | 22.6332i | −0.409094 | + | 1.44894i | ||||
\(245\) | 11.0624 | + | 11.0735i | 0.706751 | + | 0.707462i | ||||
\(246\) | 5.27931 | + | 6.97625i | 0.336596 | + | 0.444789i | ||||
\(247\) | −7.77157 | + | 13.4607i | −0.494493 | + | 0.856487i | ||||
\(248\) | 10.1527 | − | 12.6955i | 0.644697 | − | 0.806162i | ||||
\(249\) | −11.2890 | − | 19.5531i | −0.715412 | − | 1.23913i | ||||
\(250\) | −8.22390 | + | 13.5043i | −0.520125 | + | 0.854090i | ||||
\(251\) | − | 15.4536i | − | 0.975423i | −0.873005 | − | 0.487712i | \(-0.837832\pi\) | ||
0.873005 | − | 0.487712i | \(-0.162168\pi\) | |||||||
\(252\) | 0.0381318 | − | 1.16710i | 0.00240207 | − | 0.0735205i | ||||
\(253\) | −1.49683 | −0.0941049 | ||||||||
\(254\) | −0.818329 | − | 6.55430i | −0.0513465 | − | 0.411253i | ||||
\(255\) | −10.6364 | − | 2.42026i | −0.666074 | − | 0.151562i | ||||
\(256\) | 8.72965 | − | 13.4087i | 0.545603 | − | 0.838044i | ||||
\(257\) | 12.5171 | − | 21.6802i | 0.780792 | − | 1.35237i | −0.150688 | − | 0.988581i | \(-0.548149\pi\) |
0.931481 | − | 0.363791i | \(-0.118518\pi\) | |||||||
\(258\) | −13.5516 | − | 17.9076i | −0.843688 | − | 1.11488i | ||||
\(259\) | −3.80292 | + | 13.1713i | −0.236302 | + | 0.818427i | ||||
\(260\) | 26.1204 | − | 15.9530i | 1.61992 | − | 0.989362i | ||||
\(261\) | −0.471398 | − | 0.272162i | −0.0291788 | − | 0.0168464i | ||||
\(262\) | 8.51915 | − | 20.1841i | 0.526315 | − | 1.24698i | ||||
\(263\) | 14.1558 | + | 24.5185i | 0.872883 | + | 1.51188i | 0.859001 | + | 0.511974i | \(0.171086\pi\) |
0.0138820 | + | 0.999904i | \(0.495581\pi\) | |||||||
\(264\) | 3.68577 | + | 0.560691i | 0.226843 | + | 0.0345081i | ||||
\(265\) | −9.78068 | + | 10.5551i | −0.600822 | + | 0.648394i | ||||
\(266\) | −1.32758 | + | 8.39333i | −0.0813993 | + | 0.514628i | ||||
\(267\) | − | 18.9949i | − | 1.16247i | ||||||
\(268\) | 4.68988 | − | 4.56606i | 0.286480 | − | 0.278916i | ||||
\(269\) | 1.84643 | + | 3.19810i | 0.112579 | + | 0.194992i | 0.916809 | − | 0.399325i | \(-0.130756\pi\) |
−0.804231 | + | 0.594317i | \(0.797422\pi\) | |||||||
\(270\) | 15.4752 | − | 6.98654i | 0.941789 | − | 0.425187i | ||||
\(271\) | −0.382982 | + | 0.663345i | −0.0232645 | + | 0.0402953i | −0.877423 | − | 0.479717i | \(-0.840739\pi\) |
0.854159 | + | 0.520012i | \(0.174073\pi\) | |||||||
\(272\) | 9.97638 | + | 6.12142i | 0.604907 | + | 0.371166i | ||||
\(273\) | 21.7531 | − | 20.9299i | 1.31656 | − | 1.26674i | ||||
\(274\) | 12.3582 | + | 16.3305i | 0.746585 | + | 0.986562i | ||||
\(275\) | 3.56400 | + | 1.71051i | 0.214918 | + | 0.103148i | ||||
\(276\) | −6.11856 | + | 1.55204i | −0.368294 | + | 0.0934221i | ||||
\(277\) | −9.73148 | − | 16.8554i | −0.584708 | − | 1.01274i | −0.994912 | − | 0.100750i | \(-0.967876\pi\) |
0.410204 | − | 0.911994i | \(-0.365458\pi\) | |||||||
\(278\) | 15.3925 | − | 1.92181i | 0.923181 | − | 0.115263i | ||||
\(279\) | −1.26831 | −0.0759318 | ||||||||
\(280\) | 10.2036 | − | 13.2622i | 0.609781 | − | 0.792570i | ||||
\(281\) | −7.20046 | −0.429544 | −0.214772 | − | 0.976664i | \(-0.568901\pi\) | ||||
−0.214772 | + | 0.976664i | \(0.568901\pi\) | |||||||
\(282\) | 0.500054 | − | 0.0624336i | 0.0297778 | − | 0.00371787i | ||||
\(283\) | 5.91380 | + | 10.2430i | 0.351539 | + | 0.608883i | 0.986519 | − | 0.163645i | \(-0.0523252\pi\) |
−0.634980 | + | 0.772528i | \(0.718992\pi\) | |||||||
\(284\) | −2.16786 | − | 8.54627i | −0.128639 | − | 0.507128i | ||||
\(285\) | −8.08845 | + | 2.50083i | −0.479118 | + | 0.148137i | ||||
\(286\) | −4.61779 | − | 6.10210i | −0.273055 | − | 0.360825i | ||||
\(287\) | −2.35766 | − | 9.53033i | −0.139168 | − | 0.562558i | ||||
\(288\) | −1.24243 | + | 0.121467i | −0.0732107 | + | 0.00715752i | ||||
\(289\) | 4.21875 | − | 7.30709i | 0.248162 | − | 0.429829i | ||||
\(290\) | −3.20953 | − | 7.10910i | −0.188470 | − | 0.417461i | ||||
\(291\) | 10.8910 | + | 18.8637i | 0.638441 | + | 1.10581i | ||||
\(292\) | −8.88333 | − | 9.12423i | −0.519857 | − | 0.533955i | ||||
\(293\) | 11.8864i | 0.694410i | 0.937789 | + | 0.347205i | \(0.112869\pi\) | ||||
−0.937789 | + | 0.347205i | \(0.887131\pi\) | |||||||
\(294\) | 6.99903 | − | 14.9461i | 0.408192 | − | 0.871676i | ||||
\(295\) | 0.816252 | + | 0.756364i | 0.0475240 | + | 0.0440372i | ||||
\(296\) | 14.4892 | + | 2.20415i | 0.842169 | + | 0.128113i | ||||
\(297\) | −2.12260 | − | 3.67645i | −0.123166 | − | 0.213329i | ||||
\(298\) | 8.11476 | − | 19.2260i | 0.470075 | − | 1.11373i | ||||
\(299\) | 11.2208 | + | 6.47834i | 0.648916 | + | 0.374652i | ||||
\(300\) | 16.3421 | + | 3.29656i | 0.943513 | + | 0.190327i | ||||
\(301\) | 6.05197 | + | 24.4637i | 0.348829 | + | 1.41007i | ||||
\(302\) | −13.4785 | − | 17.8109i | −0.775599 | − | 1.02490i | ||||
\(303\) | −8.61306 | + | 14.9183i | −0.494808 | + | 0.857032i | ||||
\(304\) | 9.08115 | + | 0.243022i | 0.520840 | + | 0.0139383i | ||||
\(305\) | 25.6386 | + | 5.83395i | 1.46806 | + | 0.334051i | ||||
\(306\) | −0.113141 | − | 0.906187i | −0.00646783 | − | 0.0518033i | ||||
\(307\) | −18.3489 | −1.04723 | −0.523615 | − | 0.851955i | \(-0.675417\pi\) | ||||
−0.523615 | + | 0.851955i | \(0.675417\pi\) | |||||||
\(308\) | −3.55295 | − | 2.20905i | −0.202448 | − | 0.125872i | ||||
\(309\) | − | 33.1082i | − | 1.88346i | ||||||
\(310\) | −14.7588 | − | 10.6062i | −0.838245 | − | 0.602393i | ||||
\(311\) | −3.85642 | − | 6.67951i | −0.218677 | − | 0.378760i | 0.735726 | − | 0.677279i | \(-0.236841\pi\) |
−0.954404 | + | 0.298518i | \(0.903508\pi\) | |||||||
\(312\) | −25.2032 | − | 20.1553i | −1.42685 | − | 1.14107i | ||||
\(313\) | −8.58738 | + | 14.8738i | −0.485387 | + | 0.840716i | −0.999859 | − | 0.0167918i | \(-0.994655\pi\) |
0.514472 | + | 0.857507i | \(0.327988\pi\) | |||||||
\(314\) | −8.04024 | − | 10.6246i | −0.453737 | − | 0.599583i | ||||
\(315\) | −1.30533 | + | 0.0245169i | −0.0735468 | + | 0.00138137i | ||||
\(316\) | −11.6699 | − | 3.29486i | −0.656480 | − | 0.185350i | ||||
\(317\) | −9.77351 | + | 16.9282i | −0.548935 | + | 0.950784i | 0.449413 | + | 0.893324i | \(0.351633\pi\) |
−0.998348 | + | 0.0574593i | \(0.981700\pi\) | |||||||
\(318\) | 13.9785 | + | 5.89993i | 0.783875 | + | 0.330851i | ||||
\(319\) | −1.68892 | + | 0.975096i | −0.0945611 | + | 0.0545949i | ||||
\(320\) | −15.4734 | − | 8.97630i | −0.864989 | − | 0.501791i | ||||
\(321\) | 26.8725i | 1.49988i | ||||||||
\(322\) | 6.99664 | + | 1.10667i | 0.389907 | + | 0.0616721i | ||||
\(323\) | 6.64563i | 0.369773i | ||||||||
\(324\) | −11.5649 | − | 11.8786i | −0.642496 | − | 0.659920i | ||||
\(325\) | −19.3140 | − | 28.2478i | −1.07135 | − | 1.56691i | ||||
\(326\) | −2.66668 | + | 6.31808i | −0.147694 | + | 0.349926i | ||||
\(327\) | 21.4164 | + | 12.3648i | 1.18433 | + | 0.683773i | ||||
\(328\) | −9.77520 | + | 3.82108i | −0.539745 | + | 0.210984i | ||||
\(329\) | −0.543317 | − | 0.156870i | −0.0299540 | − | 0.00864853i | ||||
\(330\) | 0.414159 | − | 4.14759i | 0.0227987 | − | 0.228318i | ||||
\(331\) | −1.08473 | + | 1.87881i | −0.0596222 | + | 0.103269i | −0.894296 | − | 0.447476i | \(-0.852323\pi\) |
0.834674 | + | 0.550745i | \(0.185656\pi\) | |||||||
\(332\) | 26.2546 | − | 6.65979i | 1.44091 | − | 0.365503i | ||||
\(333\) | −0.571741 | − | 0.990284i | −0.0313312 | − | 0.0542672i | ||||
\(334\) | −14.7770 | + | 1.84497i | −0.808563 | + | 0.100952i | ||||
\(335\) | −5.36786 | − | 4.97403i | −0.293278 | − | 0.271760i | ||||
\(336\) | −16.8139 | − | 5.34587i | −0.917271 | − | 0.291641i | ||||
\(337\) | 0.664494i | 0.0361973i | 0.999836 | + | 0.0180986i | \(0.00576129\pi\) | ||||
−0.999836 | + | 0.0180986i | \(0.994239\pi\) | |||||||
\(338\) | 5.92886 | + | 47.4865i | 0.322488 | + | 2.58292i | ||||
\(339\) | 6.24374 | − | 3.60482i | 0.339113 | − | 0.195787i | ||||
\(340\) | 6.26140 | − | 11.4911i | 0.339572 | − | 0.623191i | ||||
\(341\) | −2.27204 | + | 3.93528i | −0.123038 | + | 0.213108i | ||||
\(342\) | −0.427708 | − | 0.565188i | −0.0231278 | − | 0.0305619i | ||||
\(343\) | −13.8311 | + | 12.3167i | −0.746807 | + | 0.665041i | ||||
\(344\) | 25.0923 | − | 9.80846i | 1.35289 | − | 0.528837i | ||||
\(345\) | 2.08468 | + | 6.74249i | 0.112235 | + | 0.363003i | ||||
\(346\) | −6.38042 | + | 15.1169i | −0.343014 | + | 0.812690i | ||||
\(347\) | −23.4079 | + | 13.5146i | −1.25660 | + | 0.725500i | −0.972412 | − | 0.233268i | \(-0.925058\pi\) |
−0.284190 | + | 0.958768i | \(0.591725\pi\) | |||||||
\(348\) | −5.89268 | + | 5.73709i | −0.315881 | + | 0.307541i | ||||
\(349\) | 22.2420 | 1.19059 | 0.595295 | − | 0.803508i | \(-0.297035\pi\) | ||||
0.595295 | + | 0.803508i | \(0.297035\pi\) | |||||||
\(350\) | −15.3946 | − | 10.6305i | −0.822875 | − | 0.568222i | ||||
\(351\) | 36.7468i | 1.96140i | ||||||||
\(352\) | −1.84878 | + | 4.07257i | −0.0985405 | + | 0.217069i | ||||
\(353\) | −6.08471 | − | 10.5390i | −0.323856 | − | 0.560936i | 0.657424 | − | 0.753521i | \(-0.271646\pi\) |
−0.981280 | + | 0.192585i | \(0.938313\pi\) | |||||||
\(354\) | 0.456256 | − | 1.08099i | 0.0242497 | − | 0.0574541i | ||||
\(355\) | −9.41776 | + | 2.91183i | −0.499843 | + | 0.154544i | ||||
\(356\) | 21.9302 | + | 6.19177i | 1.16230 | + | 0.328163i | ||||
\(357\) | 3.58029 | − | 12.4003i | 0.189489 | − | 0.656293i | ||||
\(358\) | 21.8894 | − | 16.5649i | 1.15689 | − | 0.875482i | ||||
\(359\) | −28.3997 | − | 16.3965i | −1.49888 | − | 0.865377i | −0.498877 | − | 0.866673i | \(-0.666254\pi\) |
−0.999999 | + | 0.00129574i | \(0.999588\pi\) | |||||||
\(360\) | 0.207048 | + | 1.38026i | 0.0109124 | + | 0.0727458i | ||||
\(361\) | −6.92105 | − | 11.9876i | −0.364266 | − | 0.630927i | ||||
\(362\) | 2.94368 | + | 23.5770i | 0.154716 | + | 1.23918i | ||||
\(363\) | 17.2963 | 0.907819 | ||||||||
\(364\) | 17.0734 | + | 31.9372i | 0.894890 | + | 1.67396i | ||||
\(365\) | −9.67703 | + | 10.4432i | −0.506519 | + | 0.546625i | ||||
\(366\) | −3.43477 | − | 27.5104i | −0.179538 | − | 1.43799i | ||||
\(367\) | −0.00646496 | + | 0.00373255i | −0.000337468 | + | 0.000194837i | −0.500169 | − | 0.865928i | \(-0.666729\pi\) |
0.499831 | + | 0.866123i | \(0.333395\pi\) | |||||||
\(368\) | 0.202582 | − | 7.57000i | 0.0105603 | − | 0.394613i | ||||
\(369\) | 0.709169 | + | 0.409439i | 0.0369178 | + | 0.0213145i | ||||
\(370\) | 1.62811 | − | 16.3047i | 0.0846414 | − | 0.847642i | ||||
\(371\) | −11.8051 | − | 12.2694i | −0.612892 | − | 0.636997i | ||||
\(372\) | −5.20691 | + | 18.4420i | −0.269966 | + | 0.956175i | ||||
\(373\) | 17.5825 | − | 30.4538i | 0.910388 | − | 1.57684i | 0.0968723 | − | 0.995297i | \(-0.469116\pi\) |
0.813516 | − | 0.581542i | \(-0.197551\pi\) | |||||||
\(374\) | −3.01438 | − | 1.27228i | −0.155870 | − | 0.0657882i | ||||
\(375\) | 2.74133 | − | 18.4364i | 0.141562 | − | 0.952051i | ||||
\(376\) | −0.0909209 | + | 0.597680i | −0.00468889 | + | 0.0308230i | ||||
\(377\) | 16.8810 | 0.869416 | ||||||||
\(378\) | 7.20353 | + | 18.7542i | 0.370510 | + | 0.964610i | ||||
\(379\) | 17.3297 | 0.890165 | 0.445082 | − | 0.895490i | \(-0.353174\pi\) | ||||
0.445082 | + | 0.895490i | \(0.353174\pi\) | |||||||
\(380\) | −0.250700 | − | 10.1536i | −0.0128606 | − | 0.520867i | ||||
\(381\) | 3.89322 | + | 6.74326i | 0.199456 | + | 0.345468i | ||||
\(382\) | −6.08803 | + | 14.4242i | −0.311491 | + | 0.738004i | ||||
\(383\) | 5.87162 | + | 3.38998i | 0.300026 | + | 0.173220i | 0.642455 | − | 0.766324i | \(-0.277916\pi\) |
−0.342429 | + | 0.939544i | \(0.611249\pi\) | |||||||
\(384\) | −3.33444 | + | 18.5643i | −0.170160 | + | 0.947357i | ||||
\(385\) | −2.26228 | + | 4.09405i | −0.115296 | + | 0.208652i | ||||
\(386\) | 2.26680 | + | 2.99543i | 0.115377 | + | 0.152463i | ||||
\(387\) | −1.82039 | − | 1.05100i | −0.0925356 | − | 0.0534254i | ||||
\(388\) | −25.3289 | + | 6.42498i | −1.28588 | + | 0.326179i | ||||
\(389\) | −4.97969 | + | 2.87502i | −0.252480 | + | 0.145770i | −0.620899 | − | 0.783890i | \(-0.713232\pi\) |
0.368419 | + | 0.929660i | \(0.379899\pi\) | |||||||
\(390\) | −21.0556 | + | 29.2995i | −1.06619 | + | 1.48364i | ||||
\(391\) | 5.53977 | 0.280158 | ||||||||
\(392\) | 14.9743 | + | 12.9526i | 0.756317 | + | 0.654205i | ||||
\(393\) | 25.8264i | 1.30277i | ||||||||
\(394\) | 1.74674 | + | 13.9903i | 0.0879994 | + | 0.704820i | ||||
\(395\) | −3.00803 | + | 13.2194i | −0.151350 | + | 0.665142i | ||||
\(396\) | 0.338245 | − | 0.0857999i | 0.0169975 | − | 0.00431161i | ||||
\(397\) | 4.00016 | + | 2.30949i | 0.200762 | + | 0.115910i | 0.597011 | − | 0.802233i | \(-0.296355\pi\) |
−0.396249 | + | 0.918143i | \(0.629688\pi\) | |||||||
\(398\) | 0.843452 | − | 0.638286i | 0.0422784 | − | 0.0319944i | ||||
\(399\) | −2.40564 | − | 9.72425i | −0.120432 | − | 0.486821i | ||||
\(400\) | −9.13302 | + | 17.7929i | −0.456651 | + | 0.889646i | ||||
\(401\) | 8.29423 | − | 14.3660i | 0.414194 | − | 0.717406i | −0.581149 | − | 0.813797i | \(-0.697397\pi\) |
0.995344 | + | 0.0963914i | \(0.0307301\pi\) | |||||||
\(402\) | −3.00045 | + | 7.10885i | −0.149649 | + | 0.354557i | ||||
\(403\) | 34.0641 | − | 19.6669i | 1.69685 | − | 0.979679i | ||||
\(404\) | −14.4160 | − | 14.8070i | −0.717224 | − | 0.736674i | ||||
\(405\) | −12.5982 | + | 13.5957i | −0.626011 | + | 0.675578i | ||||
\(406\) | 8.61543 | − | 3.30921i | 0.427577 | − | 0.164233i | ||||
\(407\) | −4.09684 | −0.203073 | ||||||||
\(408\) | −13.6410 | − | 2.07511i | −0.675331 | − | 0.102734i | ||||
\(409\) | 14.1437 | − | 8.16589i | 0.699363 | − | 0.403777i | −0.107747 | − | 0.994178i | \(-0.534364\pi\) |
0.807110 | + | 0.590401i | \(0.201030\pi\) | |||||||
\(410\) | 4.82839 | + | 10.6949i | 0.238457 | + | 0.528183i | ||||
\(411\) | −20.9076 | − | 12.0710i | −1.03130 | − | 0.595419i | ||||
\(412\) | 38.2245 | + | 10.7923i | 1.88319 | + | 0.531698i | ||||
\(413\) | −0.948826 | + | 0.912921i | −0.0466887 | + | 0.0449219i | ||||
\(414\) | −0.471138 | + | 0.356535i | −0.0231552 | + | 0.0175228i | ||||
\(415\) | −8.94531 | − | 28.9319i | −0.439108 | − | 1.42021i | ||||
\(416\) | 31.4854 | − | 22.5279i | 1.54370 | − | 1.10452i | ||||
\(417\) | −15.8363 | + | 9.14308i | −0.775506 | + | 0.447739i | ||||
\(418\) | −2.51984 | + | 0.314612i | −0.123250 | + | 0.0153882i | ||||
\(419\) | − | 25.5119i | − | 1.24634i | −0.782087 | − | 0.623170i | \(-0.785845\pi\) | ||
0.782087 | − | 0.623170i | \(-0.214155\pi\) | |||||||
\(420\) | −5.00238 | + | 19.0809i | −0.244091 | + | 0.931053i | ||||
\(421\) | − | 5.65879i | − | 0.275793i | −0.990447 | − | 0.137896i | \(-0.955966\pi\) | ||
0.990447 | − | 0.137896i | \(-0.0440341\pi\) | |||||||
\(422\) | 2.29127 | + | 18.3517i | 0.111537 | + | 0.893345i | ||||
\(423\) | 0.0408492 | − | 0.0235843i | 0.00198616 | − | 0.00114671i | ||||
\(424\) | −11.3682 | + | 14.2154i | −0.552090 | + | 0.690362i | ||||
\(425\) | −13.1904 | − | 6.33061i | −0.639827 | − | 0.307080i | ||||
\(426\) | 6.27201 | + | 8.28805i | 0.303880 | + | 0.401557i | ||||
\(427\) | −8.63018 | + | 29.8905i | −0.417644 | + | 1.44650i | ||||
\(428\) | −31.0251 | − | 8.75962i | −1.49966 | − | 0.423412i | ||||
\(429\) | 7.81239 | + | 4.51048i | 0.377186 | + | 0.217768i | ||||
\(430\) | −12.3942 | − | 27.4531i | −0.597700 | − | 1.32390i | ||||
\(431\) | 8.15466 | − | 4.70809i | 0.392796 | − | 0.226781i | −0.290575 | − | 0.956852i | \(-0.593847\pi\) |
0.683371 | + | 0.730071i | \(0.260513\pi\) | |||||||
\(432\) | 18.8804 | − | 10.2372i | 0.908383 | − | 0.492536i | ||||
\(433\) | 2.39361 | 0.115030 | 0.0575148 | − | 0.998345i | \(-0.481682\pi\) | ||||
0.0575148 | + | 0.998345i | \(0.481682\pi\) | |||||||
\(434\) | 13.5297 | − | 16.7149i | 0.649446 | − | 0.802341i | ||||
\(435\) | 6.74453 | + | 6.24969i | 0.323376 | + | 0.299650i | ||||
\(436\) | −21.2566 | + | 20.6954i | −1.01801 | + | 0.991128i | ||||
\(437\) | 3.72356 | − | 2.14980i | 0.178122 | − | 0.102839i | ||||
\(438\) | 13.8304 | + | 5.83741i | 0.660841 | + | 0.278922i | ||||
\(439\) | −17.7739 | + | 30.7852i | −0.848300 | + | 1.46930i | 0.0344242 | + | 0.999407i | \(0.489040\pi\) |
−0.882724 | + | 0.469891i | \(0.844293\pi\) | |||||||
\(440\) | 4.65353 | + | 1.83015i | 0.221848 | + | 0.0872490i | ||||
\(441\) | 0.0595608 | − | 1.54361i | 0.00283623 | − | 0.0735051i | ||||
\(442\) | 17.0904 | + | 22.5838i | 0.812909 | + | 1.07420i | ||||
\(443\) | −10.5455 | − | 6.08847i | −0.501033 | − | 0.289272i | 0.228107 | − | 0.973636i | \(-0.426746\pi\) |
−0.729140 | + | 0.684364i | \(0.760080\pi\) | |||||||
\(444\) | −16.7466 | + | 4.24797i | −0.794757 | + | 0.201599i | ||||
\(445\) | 5.65275 | − | 24.8423i | 0.267966 | − | 1.17764i | ||||
\(446\) | −5.74780 | + | 0.717634i | −0.272166 | + | 0.0339810i | ||||
\(447\) | 24.6004i | 1.16356i | ||||||||
\(448\) | 11.6528 | − | 17.6695i | 0.550543 | − | 0.834807i | ||||
\(449\) | 5.65182 | 0.266726 | 0.133363 | − | 0.991067i | \(-0.457422\pi\) | ||||
0.133363 | + | 0.991067i | \(0.457422\pi\) | |||||||
\(450\) | 1.52923 | − | 0.310527i | 0.0720885 | − | 0.0146384i | ||||
\(451\) | 2.54079 | − | 1.46693i | 0.119641 | − | 0.0690749i | ||||
\(452\) | 2.12661 | + | 8.38366i | 0.100027 | + | 0.394334i | ||||
\(453\) | 22.8029 | + | 13.1653i | 1.07138 | + | 0.618559i | ||||
\(454\) | 11.1376 | − | 8.42844i | 0.522715 | − | 0.395566i | ||||
\(455\) | 34.6781 | − | 20.8994i | 1.62573 | − | 0.979778i | ||||
\(456\) | −9.97410 | + | 3.89883i | −0.467080 | + | 0.182579i | ||||
\(457\) | −17.8188 | − | 10.2877i | −0.833529 | − | 0.481238i | 0.0215305 | − | 0.999768i | \(-0.493146\pi\) |
−0.855059 | + | 0.518530i | \(0.826479\pi\) | |||||||
\(458\) | 4.37569 | + | 1.84686i | 0.204463 | + | 0.0862979i | ||||
\(459\) | 7.85574 | + | 13.6065i | 0.366675 | + | 0.635099i | ||||
\(460\) | −8.46396 | + | 0.208982i | −0.394634 | + | 0.00974384i | ||||
\(461\) | −1.04586 | −0.0487106 | −0.0243553 | − | 0.999703i | \(-0.507753\pi\) | ||||
−0.0243553 | + | 0.999703i | \(0.507753\pi\) | |||||||
\(462\) | 4.87135 | + | 0.770506i | 0.226636 | + | 0.0358472i | ||||
\(463\) | −15.3524 | −0.713488 | −0.356744 | − | 0.934202i | \(-0.616113\pi\) | ||||
−0.356744 | + | 0.934202i | \(0.616113\pi\) | |||||||
\(464\) | −4.70282 | − | 8.67341i | −0.218323 | − | 0.402653i | ||||
\(465\) | 20.8909 | + | 4.75363i | 0.968791 | + | 0.220444i | ||||
\(466\) | −10.9280 | + | 25.8914i | −0.506232 | + | 1.19940i | ||||
\(467\) | 8.02282 | − | 13.8959i | 0.371252 | − | 0.643027i | −0.618507 | − | 0.785780i | \(-0.712262\pi\) |
0.989758 | + | 0.142753i | \(0.0455954\pi\) | |||||||
\(468\) | −2.90696 | − | 0.820750i | −0.134374 | − | 0.0379392i | ||||
\(469\) | 6.23970 | − | 6.00358i | 0.288122 | − | 0.277220i | ||||
\(470\) | 0.672569 | + | 0.0671595i | 0.0310233 | + | 0.00309783i | ||||
\(471\) | 13.6025 | + | 7.85341i | 0.626770 | + | 0.361866i | ||||
\(472\) | 1.09931 | + | 0.879133i | 0.0506000 | + | 0.0404654i | ||||
\(473\) | −6.52205 | + | 3.76551i | −0.299884 | + | 0.173138i | ||||
\(474\) | 14.1845 | − | 1.77099i | 0.651518 | − | 0.0813444i | ||||
\(475\) | −11.3226 | + | 0.863618i | −0.519517 | + | 0.0396255i | ||||
\(476\) | 13.1495 | + | 8.17568i | 0.602704 | + | 0.374732i | ||||
\(477\) | 1.42016 | 0.0650246 | ||||||||
\(478\) | −9.46510 | + | 1.18175i | −0.432923 | + | 0.0540521i | ||||
\(479\) | 10.5683 | + | 18.3049i | 0.482879 | + | 0.836371i | 0.999807 | − | 0.0196582i | \(-0.00625780\pi\) |
−0.516928 | + | 0.856029i | \(0.672924\pi\) | |||||||
\(480\) | 20.9198 | + | 2.65588i | 0.954853 | + | 0.121224i | ||||
\(481\) | 30.7115 | + | 17.7313i | 1.40032 | + | 0.808477i | ||||
\(482\) | 1.16628 | + | 1.54116i | 0.0531226 | + | 0.0701979i | ||||
\(483\) | −8.10608 | + | 2.00532i | −0.368839 | + | 0.0912454i | ||||
\(484\) | −5.63806 | + | 19.9691i | −0.256276 | + | 0.907686i | ||||
\(485\) | 8.62993 | + | 27.9118i | 0.391865 | + | 1.26741i | ||||
\(486\) | −2.98184 | − | 1.25855i | −0.135259 | − | 0.0570890i | ||||
\(487\) | −8.49641 | − | 14.7162i | −0.385009 | − | 0.666855i | 0.606761 | − | 0.794884i | \(-0.292468\pi\) |
−0.991770 | + | 0.128029i | \(0.959135\pi\) | |||||||
\(488\) | 32.8812 | + | 5.00200i | 1.48846 | + | 0.226430i | ||||
\(489\) | − | 8.08424i | − | 0.365582i | ||||||
\(490\) | 13.6015 | − | 17.4643i | 0.614451 | − | 0.788955i | ||||
\(491\) | 13.6290 | 0.615070 | 0.307535 | − | 0.951537i | \(-0.400496\pi\) | ||||
0.307535 | + | 0.951537i | \(0.400496\pi\) | |||||||
\(492\) | 8.86491 | − | 8.63085i | 0.399661 | − | 0.389109i | ||||
\(493\) | 6.25067 | − | 3.60883i | 0.281516 | − | 0.162533i | ||||
\(494\) | 20.2514 | + | 8.54753i | 0.911152 | + | 0.384572i | ||||
\(495\) | −0.115245 | − | 0.372737i | −0.00517988 | − | 0.0167533i | ||||
\(496\) | −19.5946 | − | 12.0231i | −0.879824 | − | 0.539853i | ||||
\(497\) | −2.80099 | − | 11.3224i | −0.125642 | − | 0.507879i | ||||
\(498\) | −25.4613 | + | 19.2680i | −1.14095 | + | 0.863418i | ||||
\(499\) | −7.46818 | + | 12.9353i | −0.334322 | + | 0.579062i | −0.983354 | − | 0.181699i | \(-0.941840\pi\) |
0.649033 | + | 0.760760i | \(0.275174\pi\) | |||||||
\(500\) | 20.3918 | + | 9.17466i | 0.911949 | + | 0.410303i | ||||
\(501\) | 15.2030 | − | 8.77748i | 0.679222 | − | 0.392149i | ||||
\(502\) | −21.6863 | + | 2.70762i | −0.967908 | + | 0.120847i | ||||
\(503\) | − | 24.2100i | − | 1.07947i | −0.841834 | − | 0.539736i | \(-0.818524\pi\) | ||
0.841834 | − | 0.539736i | \(-0.181476\pi\) | |||||||
\(504\) | −1.64450 | + | 0.150976i | −0.0732517 | + | 0.00672503i | ||||
\(505\) | −15.7041 | + | 16.9475i | −0.698821 | + | 0.754153i | ||||
\(506\) | 0.262259 | + | 2.10053i | 0.0116588 | + | 0.0933799i | ||||
\(507\) | −28.2068 | − | 48.8555i | −1.25271 | − | 2.16975i | ||||
\(508\) | −9.05438 | + | 2.29675i | −0.401723 | + | 0.101902i | ||||
\(509\) | −4.43051 | + | 7.67386i | −0.196379 | + | 0.340138i | −0.947352 | − | 0.320195i | \(-0.896252\pi\) |
0.750973 | + | 0.660333i | \(0.229585\pi\) | |||||||
\(510\) | −1.53280 | + | 15.3502i | −0.0678735 | + | 0.679720i | ||||
\(511\) | −11.6800 | − | 12.1394i | −0.516695 | − | 0.537016i | ||||
\(512\) | −20.3462 | − | 9.90114i | −0.899183 | − | 0.437573i | ||||
\(513\) | 10.5605 | + | 6.09710i | 0.466257 | + | 0.269193i | ||||
\(514\) | −32.6173 | − | 13.7668i | −1.43869 | − | 0.607229i | ||||
\(515\) | 9.85277 | − | 43.3002i | 0.434165 | − | 1.90803i | ||||
\(516\) | −22.7556 | + | 22.1548i | −1.00176 | + | 0.975312i | ||||
\(517\) | − | 0.168995i | − | 0.00743237i | ||||||
\(518\) | 19.1499 | + | 3.02896i | 0.841397 | + | 0.133085i | ||||
\(519\) | − | 19.3427i | − | 0.849050i | ||||||
\(520\) | −26.9637 | − | 33.8601i | −1.18243 | − | 1.48487i | ||||
\(521\) | −26.5478 | + | 15.3274i | −1.16308 | + | 0.671505i | −0.952041 | − | 0.305972i | \(-0.901019\pi\) |
−0.211041 | + | 0.977477i | \(0.567685\pi\) | |||||||
\(522\) | −0.299336 | + | 0.709207i | −0.0131016 | + | 0.0310411i | ||||
\(523\) | 9.06880 | − | 15.7076i | 0.396551 | − | 0.686846i | −0.596747 | − | 0.802430i | \(-0.703540\pi\) |
0.993298 | + | 0.115583i | \(0.0368737\pi\) | |||||||
\(524\) | −29.8174 | − | 8.41862i | −1.30258 | − | 0.367769i | ||||
\(525\) | 21.5925 | + | 4.48853i | 0.942372 | + | 0.195896i | ||||
\(526\) | 31.9271 | − | 24.1609i | 1.39209 | − | 1.05347i | ||||
\(527\) | 8.40880 | − | 14.5645i | 0.366293 | − | 0.634439i | ||||
\(528\) | 0.141046 | − | 5.27054i | 0.00613823 | − | 0.229371i | ||||
\(529\) | 9.70794 | + | 16.8146i | 0.422084 | + | 0.731072i | ||||
\(530\) | 16.5258 | + | 11.8760i | 0.717836 | + | 0.515862i | ||||
\(531\) | − | 0.109824i | − | 0.00476598i | ||||||
\(532\) | 12.0111 | + | 0.392429i | 0.520748 | + | 0.0170140i | ||||
\(533\) | −25.3957 | −1.10001 | ||||||||
\(534\) | −26.6559 | + | 3.32809i | −1.15351 | + | 0.144021i | ||||
\(535\) | −7.99706 | + | 35.1448i | −0.345743 | + | 1.51944i | ||||
\(536\) | −7.22934 | − | 5.78138i | −0.312260 | − | 0.249718i | ||||
\(537\) | −16.1800 | + | 28.0246i | −0.698218 | + | 1.20935i | ||||
\(538\) | 4.16445 | − | 3.15146i | 0.179542 | − | 0.135869i | ||||
\(539\) | −4.68277 | − | 2.95000i | −0.201701 | − | 0.127066i | ||||
\(540\) | −12.5157 | − | 20.4925i | −0.538591 | − | 0.881856i | ||||
\(541\) | −23.5104 | − | 13.5737i | −1.01079 | − | 0.583580i | −0.0993669 | − | 0.995051i | \(-0.531682\pi\) |
−0.911423 | + | 0.411471i | \(0.865015\pi\) | |||||||
\(542\) | 0.997986 | + | 0.421222i | 0.0428672 | + | 0.0180930i | ||||
\(543\) | −14.0046 | − | 24.2567i | −0.600997 | − | 1.04096i | ||||
\(544\) | 6.84235 | − | 15.0726i | 0.293363 | − | 0.646231i | ||||
\(545\) | 24.3295 | + | 22.5445i | 1.04216 | + | 0.965699i | ||||
\(546\) | −33.1827 | − | 26.8594i | −1.42009 | − | 1.14948i | ||||
\(547\) | − | 23.0006i | − | 0.983436i | −0.870754 | − | 0.491718i | \(-0.836369\pi\) | ||
0.870754 | − | 0.491718i | \(-0.163631\pi\) | |||||||
\(548\) | 20.7516 | − | 20.2037i | 0.886465 | − | 0.863060i | ||||
\(549\) | −1.29749 | − | 2.24731i | −0.0553753 | − | 0.0959129i | ||||
\(550\) | 1.77595 | − | 5.30113i | 0.0757266 | − | 0.226041i | ||||
\(551\) | 2.80093 | − | 4.85135i | 0.119324 | − | 0.206674i | ||||
\(552\) | 3.25004 | + | 8.31436i | 0.138331 | + | 0.353882i | ||||
\(553\) | −15.4118 | − | 4.44978i | −0.655374 | − | 0.189224i | ||||
\(554\) | −21.9485 | + | 16.6096i | −0.932501 | + | 0.705674i | ||||
\(555\) | 5.70580 | + | 18.4543i | 0.242198 | + | 0.783340i | ||||
\(556\) | −5.39383 | − | 21.2639i | −0.228749 | − | 0.901789i | ||||
\(557\) | 5.52574 | + | 9.57086i | 0.234133 | + | 0.405530i | 0.959020 | − | 0.283337i | \(-0.0914415\pi\) |
−0.724887 | + | 0.688867i | \(0.758108\pi\) | |||||||
\(558\) | 0.222220 | + | 1.77984i | 0.00940733 | + | 0.0753468i | ||||
\(559\) | 65.1890 | 2.75720 | ||||||||
\(560\) | −20.3989 | − | 11.9952i | −0.862011 | − | 0.506890i | ||||
\(561\) | 3.85701 | 0.162843 | ||||||||
\(562\) | 1.26159 | + | 10.1045i | 0.0532170 | + | 0.426234i | ||||
\(563\) | 19.8308 | + | 34.3480i | 0.835770 | + | 1.44760i | 0.893402 | + | 0.449259i | \(0.148312\pi\) |
−0.0576315 | + | 0.998338i | \(0.518355\pi\) | |||||||
\(564\) | −0.175228 | − | 0.690796i | −0.00737845 | − | 0.0290877i | ||||
\(565\) | 9.23856 | − | 2.85643i | 0.388669 | − | 0.120171i | ||||
\(566\) | 13.3380 | − | 10.0936i | 0.560639 | − | 0.424266i | ||||
\(567\) | −15.2059 | − | 15.8039i | −0.638587 | − | 0.663703i | ||||
\(568\) | −11.6133 | + | 4.53959i | −0.487283 | + | 0.190477i | ||||
\(569\) | 14.0325 | − | 24.3050i | 0.588272 | − | 1.01892i | −0.406187 | − | 0.913790i | \(-0.633142\pi\) |
0.994459 | − | 0.105127i | \(-0.0335248\pi\) | |||||||
\(570\) | 4.92664 | + | 10.9125i | 0.206354 | + | 0.457074i | ||||
\(571\) | 1.96859 | + | 3.40970i | 0.0823829 | + | 0.142691i | 0.904273 | − | 0.426955i | \(-0.140414\pi\) |
−0.821890 | + | 0.569646i | \(0.807080\pi\) | |||||||
\(572\) | −7.75410 | + | 7.54937i | −0.324215 | + | 0.315655i | ||||
\(573\) | − | 18.4563i | − | 0.771022i | ||||||
\(574\) | −12.9610 | + | 4.97836i | −0.540982 | + | 0.207793i | ||||
\(575\) | 0.719907 | + | 9.43847i | 0.0300222 | + | 0.393611i | ||||
\(576\) | 0.388142 | + | 1.72224i | 0.0161726 | + | 0.0717599i | ||||
\(577\) | −20.6956 | − | 35.8459i | −0.861571 | − | 1.49228i | −0.870412 | − | 0.492324i | \(-0.836148\pi\) |
0.00884126 | − | 0.999961i | \(-0.497186\pi\) | |||||||
\(578\) | −10.9933 | − | 4.63998i | −0.457262 | − | 0.192998i | ||||
\(579\) | −3.83499 | − | 2.21413i | −0.159377 | − | 0.0920161i | ||||
\(580\) | −9.41399 | + | 5.74957i | −0.390895 | + | 0.238738i | ||||
\(581\) | 34.7830 | − | 8.60480i | 1.44304 | − | 0.356987i | ||||
\(582\) | 24.5636 | − | 18.5886i | 1.01820 | − | 0.770524i | ||||
\(583\) | 2.54406 | − | 4.40643i | 0.105364 | − | 0.182496i | ||||
\(584\) | −11.2478 | + | 14.0648i | −0.465436 | + | 0.582005i | ||||
\(585\) | −0.749300 | + | 3.29297i | −0.0309798 | + | 0.136147i | ||||
\(586\) | 16.6804 | − | 2.08261i | 0.689060 | − | 0.0860318i | ||||
\(587\) | 15.3447 | 0.633342 | 0.316671 | − | 0.948535i | \(-0.397435\pi\) | ||||
0.316671 | + | 0.948535i | \(0.397435\pi\) | |||||||
\(588\) | −22.2005 | − | 7.20316i | −0.915532 | − | 0.297053i | ||||
\(589\) | − | 13.0527i | − | 0.537827i | ||||||
\(590\) | 0.918405 | − | 1.27798i | 0.0378101 | − | 0.0526138i | ||||
\(591\) | −8.31016 | − | 14.3936i | −0.341834 | − | 0.592075i | ||||
\(592\) | 0.554468 | − | 20.7192i | 0.0227885 | − | 0.851552i | ||||
\(593\) | −20.8596 | + | 36.1298i | −0.856600 | + | 1.48367i | 0.0185530 | + | 0.999828i | \(0.494094\pi\) |
−0.875153 | + | 0.483847i | \(0.839239\pi\) | |||||||
\(594\) | −4.78733 | + | 3.62283i | −0.196427 | + | 0.148647i | ||||
\(595\) | 8.37268 | − | 15.1521i | 0.343246 | − | 0.621175i | ||||
\(596\) | −28.4020 | − | 8.01900i | −1.16339 | − | 0.328471i | ||||
\(597\) | −0.623454 | + | 1.07985i | −0.0255163 | + | 0.0441955i | ||||
\(598\) | 7.12517 | − | 16.8814i | 0.291370 | − | 0.690333i | ||||
\(599\) | −19.4999 | + | 11.2583i | −0.796746 | + | 0.460001i | −0.842332 | − | 0.538959i | \(-0.818818\pi\) |
0.0455861 | + | 0.998960i | \(0.485484\pi\) | |||||||
\(600\) | 1.76282 | − | 23.5108i | 0.0719670 | − | 0.959823i | ||||
\(601\) | − | 8.10668i | − | 0.330679i | −0.986237 | − | 0.165339i | \(-0.947128\pi\) | ||
0.986237 | − | 0.165339i | \(-0.0528719\pi\) | |||||||
\(602\) | 33.2700 | − | 12.7791i | 1.35599 | − | 0.520838i | ||||
\(603\) | 0.722231i | 0.0294115i | ||||||||
\(604\) | −22.6328 | + | 22.0352i | −0.920916 | + | 0.896601i | ||||
\(605\) | 22.6207 | + | 5.14725i | 0.919663 | + | 0.209265i | ||||
\(606\) | 22.4442 | + | 9.47305i | 0.911732 | + | 0.384816i | ||||
\(607\) | −10.6003 | − | 6.12010i | −0.430254 | − | 0.248407i | 0.269201 | − | 0.963084i | \(-0.413240\pi\) |
−0.699455 | + | 0.714677i | \(0.746574\pi\) | |||||||
\(608\) | −1.25007 | − | 12.7863i | −0.0506969 | − | 0.518554i | ||||
\(609\) | −7.83997 | + | 7.54329i | −0.317692 | + | 0.305670i | ||||
\(610\) | 3.69476 | − | 37.0012i | 0.149597 | − | 1.49814i | ||||
\(611\) | −0.731415 | + | 1.26685i | −0.0295899 | + | 0.0512512i | ||||
\(612\) | −1.25185 | + | 0.317545i | −0.0506029 | + | 0.0128360i | ||||
\(613\) | 6.93580 | + | 12.0132i | 0.280134 | + | 0.485207i | 0.971418 | − | 0.237377i | \(-0.0762876\pi\) |
−0.691283 | + | 0.722584i | \(0.742954\pi\) | |||||||
\(614\) | 3.21491 | + | 25.7494i | 0.129743 | + | 1.03916i | ||||
\(615\) | −10.1464 | − | 9.40200i | −0.409144 | − | 0.379125i | ||||
\(616\) | −2.47749 | + | 5.37296i | −0.0998208 | + | 0.216483i | ||||
\(617\) | − | 1.91696i | − | 0.0771739i | −0.999255 | − | 0.0385870i | \(-0.987714\pi\) | ||
0.999255 | − | 0.0385870i | \(-0.0122857\pi\) | |||||||
\(618\) | −46.4614 | + | 5.80088i | −1.86895 | + | 0.233345i | ||||
\(619\) | −19.2245 | + | 11.0993i | −0.772699 | + | 0.446118i | −0.833837 | − | 0.552011i | \(-0.813861\pi\) |
0.0611375 | + | 0.998129i | \(0.480527\pi\) | |||||||
\(620\) | −12.2980 | + | 22.5696i | −0.493900 | + | 0.906418i | ||||
\(621\) | 5.08251 | − | 8.80316i | 0.203954 | − | 0.353259i | ||||
\(622\) | −8.69780 | + | 6.58210i | −0.348750 | + | 0.263918i | ||||
\(623\) | 28.9621 | + | 8.36213i | 1.16034 | + | 0.335022i | ||||
\(624\) | −23.8684 | + | 38.8995i | −0.955502 | + | 1.55723i | ||||
\(625\) | 9.07175 | − | 23.2960i | 0.362870 | − | 0.931840i | ||||
\(626\) | 22.3772 | + | 9.44480i | 0.894374 | + | 0.377490i | ||||
\(627\) | 2.59249 | − | 1.49678i | 0.103534 | − | 0.0597755i | ||||
\(628\) | −13.5010 | + | 13.1446i | −0.538749 | + | 0.524525i | ||||
\(629\) | 15.1624 | 0.604565 | ||||||||
\(630\) | 0.263111 | + | 1.82749i | 0.0104826 | + | 0.0728090i | ||||
\(631\) | 4.47405i | 0.178109i | 0.996027 | + | 0.0890545i | \(0.0283845\pi\) | ||||
−0.996027 | + | 0.0890545i | \(0.971615\pi\) | |||||||
\(632\) | −2.57907 | + | 16.9538i | −0.102590 | + | 0.674386i | ||||
\(633\) | −10.9008 | − | 18.8807i | −0.433268 | − | 0.750442i | ||||
\(634\) | 25.4681 | + | 10.7494i | 1.01147 | + | 0.426912i | ||||
\(635\) | 3.08496 | + | 9.97769i | 0.122423 | + | 0.395952i | ||||
\(636\) | 5.83031 | − | 20.6500i | 0.231187 | − | 0.818826i | ||||
\(637\) | 22.3361 | + | 42.3815i | 0.884988 | + | 1.67922i | ||||
\(638\) | 1.66428 | + | 2.19924i | 0.0658896 | + | 0.0870687i | ||||
\(639\) | 0.842519 | + | 0.486429i | 0.0333295 | + | 0.0192428i | ||||
\(640\) | −9.88552 | + | 23.2868i | −0.390760 | + | 0.920493i | ||||
\(641\) | −16.7611 | − | 29.0311i | −0.662025 | − | 1.14666i | −0.980083 | − | 0.198590i | \(-0.936364\pi\) |
0.318058 | − | 0.948071i | \(-0.396969\pi\) | |||||||
\(642\) | 37.7106 | − | 4.70831i | 1.48832 | − | 0.185822i | ||||
\(643\) | −1.67625 | −0.0661048 | −0.0330524 | − | 0.999454i | \(-0.510523\pi\) | ||||
−0.0330524 | + | 0.999454i | \(0.510523\pi\) | |||||||
\(644\) | 0.327127 | − | 10.0124i | 0.0128906 | − | 0.394544i | ||||
\(645\) | 26.0452 | + | 24.1343i | 1.02553 | + | 0.950288i | ||||
\(646\) | 9.32594 | − | 1.16438i | 0.366924 | − | 0.0458119i | ||||
\(647\) | −18.8153 | + | 10.8630i | −0.739707 | + | 0.427070i | −0.821963 | − | 0.569541i | \(-0.807121\pi\) |
0.0822561 | + | 0.996611i | \(0.473787\pi\) | |||||||
\(648\) | −14.6431 | + | 18.3105i | −0.575236 | + | 0.719304i | ||||
\(649\) | −0.340761 | − | 0.196738i | −0.0133760 | − | 0.00772265i | ||||
\(650\) | −36.2567 | + | 32.0529i | −1.42210 | + | 1.25722i | ||||
\(651\) | −7.03206 | + | 24.3554i | −0.275608 | + | 0.954563i | ||||
\(652\) | 9.33351 | + | 2.63522i | 0.365528 | + | 0.103203i | ||||
\(653\) | 4.45603 | − | 7.71807i | 0.174378 | − | 0.302031i | −0.765568 | − | 0.643355i | \(-0.777542\pi\) |
0.939946 | + | 0.341324i | \(0.110875\pi\) | |||||||
\(654\) | 13.5993 | − | 32.2204i | 0.531776 | − | 1.25992i | ||||
\(655\) | −7.68575 | + | 33.7767i | −0.300307 | + | 1.31977i | ||||
\(656\) | 7.07490 | + | 13.0482i | 0.276228 | + | 0.509447i | ||||
\(657\) | 1.40511 | 0.0548186 | ||||||||
\(658\) | −0.124944 | + | 0.789932i | −0.00487084 | + | 0.0307947i | ||||
\(659\) | 11.6434 | 0.453562 | 0.226781 | − | 0.973946i | \(-0.427180\pi\) | ||||
0.226781 | + | 0.973946i | \(0.427180\pi\) | |||||||
\(660\) | −5.89296 | + | 0.145502i | −0.229383 | + | 0.00566366i | ||||
\(661\) | −3.07763 | − | 5.33061i | −0.119706 | − | 0.207337i | 0.799945 | − | 0.600073i | \(-0.204862\pi\) |
−0.919651 | + | 0.392736i | \(0.871528\pi\) | |||||||
\(662\) | 2.82662 | + | 1.19304i | 0.109860 | + | 0.0463687i | ||||
\(663\) | −28.9136 | − | 16.6933i | −1.12291 | − | 0.648314i | ||||
\(664\) | −13.9459 | − | 35.6767i | −0.541204 | − | 1.38452i | ||||
\(665\) | −0.252313 | − | 13.4336i | −0.00978430 | − | 0.520934i | ||||
\(666\) | −1.28951 | + | 0.975842i | −0.0499675 | + | 0.0378131i | ||||
\(667\) | −4.04406 | − | 2.33484i | −0.156587 | − | 0.0904053i | ||||
\(668\) | 5.17815 | + | 20.4136i | 0.200349 | + | 0.789826i | ||||
\(669\) | 5.91351 | − | 3.41417i | 0.228630 | − | 0.131999i | ||||
\(670\) | −6.03964 | + | 8.40431i | −0.233332 | + | 0.324687i | ||||
\(671\) | −9.29720 | −0.358914 | ||||||||
\(672\) | −4.55601 | + | 24.5318i | −0.175752 | + | 0.946336i | ||||
\(673\) | − | 29.9527i | − | 1.15459i | −0.816535 | − | 0.577296i | \(-0.804108\pi\) | ||
0.816535 | − | 0.577296i | \(-0.195892\pi\) | |||||||
\(674\) | 0.932496 | − | 0.116426i | 0.0359184 | − | 0.00448455i | ||||
\(675\) | −22.1615 | + | 15.1526i | −0.852996 | + | 0.583222i | ||||
\(676\) | 65.5998 | − | 16.6402i | 2.52307 | − | 0.640006i | ||||
\(677\) | −19.0794 | − | 11.0155i | −0.733281 | − | 0.423360i | 0.0863404 | − | 0.996266i | \(-0.472483\pi\) |
−0.819621 | + | 0.572906i | \(0.805816\pi\) | |||||||
\(678\) | −6.15268 | − | 8.13035i | −0.236292 | − | 0.312244i | ||||
\(679\) | −33.5566 | + | 8.30142i | −1.28779 | + | 0.318579i | ||||
\(680\) | −17.2227 | − | 6.77338i | −0.660460 | − | 0.259747i | ||||
\(681\) | −8.23259 | + | 14.2593i | −0.315474 | + | 0.546416i | ||||
\(682\) | 5.92054 | + | 2.49889i | 0.226709 | + | 0.0956875i | ||||
\(683\) | −1.35827 | + | 0.784199i | −0.0519728 | + | 0.0300065i | −0.525761 | − | 0.850632i | \(-0.676219\pi\) |
0.473788 | + | 0.880639i | \(0.342886\pi\) | |||||||
\(684\) | −0.718200 | + | 0.699237i | −0.0274611 | + | 0.0267360i | ||||
\(685\) | −23.7515 | − | 22.0089i | −0.907498 | − | 0.840916i | ||||
\(686\) | 19.7076 | + | 17.2514i | 0.752441 | + | 0.658660i | ||||
\(687\) | −5.59887 | −0.213610 | ||||||||
\(688\) | −18.1608 | − | 33.4939i | −0.692374 | − | 1.27694i | ||||
\(689\) | −38.1424 | + | 22.0215i | −1.45311 | + | 0.838954i | ||||
\(690\) | 9.09660 | − | 4.10682i | 0.346302 | − | 0.156344i | ||||
\(691\) | −36.1431 | − | 20.8673i | −1.37495 | − | 0.793828i | −0.383404 | − | 0.923581i | \(-0.625248\pi\) |
−0.991546 | + | 0.129753i | \(0.958581\pi\) | |||||||
\(692\) | 22.3317 | + | 6.30513i | 0.848926 | + | 0.239685i | ||||
\(693\) | 0.448119 | − | 0.110858i | 0.0170226 | − | 0.00421115i | ||||
\(694\) | 23.0665 | + | 30.4809i | 0.875593 | + | 1.15704i | ||||
\(695\) | −23.4322 | + | 7.24490i | −0.888834 | + | 0.274815i | ||||
\(696\) | 9.08342 | + | 7.26411i | 0.344306 | + | 0.275345i | ||||
\(697\) | −9.40347 | + | 5.42910i | −0.356182 | + | 0.205642i | ||||
\(698\) | −3.89702 | − | 31.2127i | −0.147504 | − | 1.18142i | ||||
\(699\) | − | 33.1291i | − | 1.25306i | ||||||
\(700\) | −12.2206 | + | 23.4661i | −0.461897 | + | 0.886934i | ||||
\(701\) | − | 39.2592i | − | 1.48280i | −0.671065 | − | 0.741399i | \(-0.734163\pi\) | ||
0.671065 | − | 0.741399i | \(-0.265837\pi\) | |||||||
\(702\) | 51.5674 | − | 6.43839i | 1.94629 | − | 0.243001i | ||||
\(703\) | 10.1914 | − | 5.88402i | 0.384377 | − | 0.221920i | ||||
\(704\) | 6.03903 | + | 1.88088i | 0.227605 | + | 0.0708883i | ||||
\(705\) | −0.761238 | + | 0.235364i | −0.0286699 | + | 0.00886432i | ||||
\(706\) | −13.7235 | + | 10.3853i | −0.516491 | + | 0.390857i | ||||
\(707\) | −18.9546 | − | 19.7001i | −0.712860 | − | 0.740897i | ||||
\(708\) | −1.59692 | − | 0.450872i | −0.0600158 | − | 0.0169448i | ||||
\(709\) | 7.57554 | + | 4.37374i | 0.284505 | + | 0.164259i | 0.635461 | − | 0.772133i | \(-0.280810\pi\) |
−0.350956 | + | 0.936392i | \(0.614143\pi\) | |||||||
\(710\) | 5.73631 | + | 12.7059i | 0.215280 | + | 0.476845i | ||||
\(711\) | 1.15873 | − | 0.668993i | 0.0434558 | − | 0.0250892i | ||||
\(712\) | 4.84664 | − | 31.8599i | 0.181635 | − | 1.19400i | ||||
\(713\) | −10.8807 | −0.407484 | ||||||||
\(714\) | −18.0288 | − | 2.85164i | −0.674713 | − | 0.106720i | ||||
\(715\) | 8.87505 | + | 8.22389i | 0.331908 | + | 0.307556i | ||||
\(716\) | −27.0811 | − | 27.8155i | −1.01207 | − | 1.03951i | ||||
\(717\) | 9.73798 | − | 5.62223i | 0.363672 | − | 0.209966i | ||||
\(718\) | −18.0337 | + | 42.7266i | −0.673011 | + | 1.59454i | ||||
\(719\) | 1.13078 | − | 1.95857i | 0.0421709 | − | 0.0730422i | −0.844170 | − | 0.536076i | \(-0.819906\pi\) |
0.886340 | + | 0.463034i | \(0.153239\pi\) | |||||||
\(720\) | 1.90066 | − | 0.532388i | 0.0708334 | − | 0.0198409i | ||||
\(721\) | 50.4811 | + | 14.5752i | 1.88001 | + | 0.542810i | ||||
\(722\) | −15.6098 | + | 11.8128i | −0.580937 | + | 0.439626i | ||||
\(723\) | −1.97312 | − | 1.13918i | −0.0733809 | − | 0.0423665i | ||||
\(724\) | 32.5703 | − | 8.26183i | 1.21046 | − | 0.307049i | ||||
\(725\) | 6.96089 | + | 10.1807i | 0.258521 | + | 0.378102i | ||||
\(726\) | −3.03047 | − | 24.2722i | −0.112471 | − | 0.900825i | ||||
\(727\) | − | 14.0073i | − | 0.519502i | −0.965676 | − | 0.259751i | \(-0.916359\pi\) | ||
0.965676 | − | 0.259751i | \(-0.0836406\pi\) | |||||||
\(728\) | 41.8266 | − | 29.5551i | 1.55020 | − | 1.09539i | ||||
\(729\) | 28.6832 | 1.06234 | ||||||||
\(730\) | 16.3507 | + | 11.7502i | 0.605167 | + | 0.434894i | ||||
\(731\) | 24.1381 | − | 13.9361i | 0.892780 | − | 0.515447i | ||||
\(732\) | −38.0040 | + | 9.64016i | −1.40467 | + | 0.356310i | ||||
\(733\) | −0.730569 | − | 0.421794i | −0.0269842 | − | 0.0155793i | 0.486447 | − | 0.873710i | \(-0.338293\pi\) |
−0.513431 | + | 0.858131i | \(0.671626\pi\) | |||||||
\(734\) | 0.00637067 | + | 0.00841842i | 0.000235146 | + | 0.000310730i | ||||
\(735\) | −6.76649 | + | 25.2021i | −0.249586 | + | 0.929595i | ||||
\(736\) | −10.6586 | + | 1.04205i | −0.392881 | + | 0.0384104i | ||||
\(737\) | 2.24092 | + | 1.29380i | 0.0825454 | + | 0.0476576i | ||||
\(738\) | 0.450320 | − | 1.06693i | 0.0165765 | − | 0.0392741i | ||||
\(739\) | −24.2171 | − | 41.9452i | −0.890840 | − | 1.54298i | −0.838870 | − | 0.544331i | \(-0.816784\pi\) |
−0.0519693 | − | 0.998649i | \(-0.516550\pi\) | |||||||
\(740\) | −23.1660 | + | 0.571987i | −0.851598 | + | 0.0210266i | ||||
\(741\) | −25.9124 | −0.951916 | ||||||||
\(742\) | −15.1495 | + | 18.7161i | −0.556157 | + | 0.687089i | ||||
\(743\) | 23.9932 | 0.880226 | 0.440113 | − | 0.897942i | \(-0.354938\pi\) | ||||
0.440113 | + | 0.897942i | \(0.354938\pi\) | |||||||
\(744\) | 26.7923 | + | 4.07573i | 0.982254 | + | 0.149424i | ||||
\(745\) | −7.32092 | + | 32.1734i | −0.268218 | + | 1.17874i | ||||
\(746\) | −45.8170 | − | 19.3381i | −1.67748 | − | 0.708017i | ||||
\(747\) | −1.49434 | + | 2.58826i | −0.0546749 | + | 0.0946996i | ||||
\(748\) | −1.25727 | + | 4.45304i | −0.0459703 | + | 0.162819i | ||||
\(749\) | −40.9732 | − | 11.8301i | −1.49713 | − | 0.432261i | ||||
\(750\) | −26.3524 | − | 0.616729i | −0.962254 | − | 0.0225198i | ||||
\(751\) | −15.5172 | − | 8.95889i | −0.566232 | − | 0.326914i | 0.189411 | − | 0.981898i | \(-0.439342\pi\) |
−0.755643 | + | 0.654983i | \(0.772676\pi\) | |||||||
\(752\) | 0.854665 | + | 0.0228718i | 0.0311664 | + | 0.000834049i | ||||
\(753\) | 22.3116 | − | 12.8816i | 0.813078 | − | 0.469431i | ||||
\(754\) | −2.95771 | − | 23.6894i | −0.107714 | − | 0.862718i | ||||
\(755\) | 25.9046 | + | 24.0040i | 0.942766 | + | 0.873596i | ||||
\(756\) | 25.0559 | − | 13.3948i | 0.911276 | − | 0.487162i | ||||
\(757\) | 9.11215 | 0.331187 | 0.165593 | − | 0.986194i | \(-0.447046\pi\) | ||||
0.165593 | + | 0.986194i | \(0.447046\pi\) | |||||||
\(758\) | −3.03632 | − | 24.3190i | −0.110284 | − | 0.883307i | ||||
\(759\) | −1.24770 | − | 2.16109i | −0.0452888 | − | 0.0784425i | ||||
\(760\) | −14.2048 | + | 2.13081i | −0.515261 | + | 0.0772928i | ||||
\(761\) | −0.873293 | − | 0.504196i | −0.0316568 | − | 0.0182771i | 0.484088 | − | 0.875019i | \(-0.339151\pi\) |
−0.515745 | + | 0.856742i | \(0.672485\pi\) | |||||||
\(762\) | 8.78081 | − | 6.64491i | 0.318095 | − | 0.240720i | ||||
\(763\) | −28.2810 | + | 27.2108i | −1.02384 | + | 0.985099i | ||||
\(764\) | 21.3084 | + | 6.01619i | 0.770910 | + | 0.217658i | ||||
\(765\) | 0.426522 | + | 1.37950i | 0.0154209 | + | 0.0498759i | ||||
\(766\) | 3.72846 | − | 8.83371i | 0.134715 | − | 0.319175i | ||||
\(767\) | 1.70298 | + | 2.94965i | 0.0614911 | + | 0.106506i | ||||
\(768\) | 26.6359 | + | 1.42664i | 0.961140 | + | 0.0514793i | ||||
\(769\) | 11.3063i | 0.407716i | 0.979000 | + | 0.203858i | \(0.0653481\pi\) | ||||
−0.979000 | + | 0.203858i | \(0.934652\pi\) | |||||||
\(770\) | 6.14163 | + | 2.45738i | 0.221329 | + | 0.0885577i | ||||
\(771\) | 41.7351 | 1.50305 | ||||||||
\(772\) | 3.80638 | − | 3.70588i | 0.136994 | − | 0.133377i | ||||
\(773\) | −17.9809 | + | 10.3813i | −0.646729 | + | 0.373389i | −0.787202 | − | 0.616695i | \(-0.788471\pi\) |
0.140473 | + | 0.990085i | \(0.455138\pi\) | |||||||
\(774\) | −1.15594 | + | 2.73873i | −0.0415494 | + | 0.0984416i | ||||
\(775\) | 25.9072 | + | 12.4339i | 0.930615 | + | 0.446641i | ||||
\(776\) | 13.4542 | + | 34.4188i | 0.482976 | + | 1.23556i | ||||
\(777\) | −22.1864 | + | 5.48860i | −0.795934 | + | 0.196902i | ||||
\(778\) | 4.90706 | + | 6.48436i | 0.175927 | + | 0.232475i | ||||
\(779\) | −4.21370 | + | 7.29834i | −0.150971 | + | 0.261490i | ||||
\(780\) | 44.8056 | + | 24.4142i | 1.60430 | + | 0.874169i | ||||
\(781\) | 3.01856 | − | 1.74277i | 0.108013 | − | 0.0623611i | ||||
\(782\) | −0.970620 | − | 7.77405i | −0.0347093 | − | 0.278000i | ||||
\(783\) | − | 13.2438i | − | 0.473295i | ||||||
\(784\) | 15.5530 | − | 23.2832i | 0.555463 | − | 0.831541i | ||||
\(785\) | 15.4527 | + | 14.3190i | 0.551532 | + | 0.511067i | ||||
\(786\) | 36.2426 | − | 4.52503i | 1.29273 | − | 0.161402i | ||||
\(787\) | −1.98158 | − | 3.43220i | −0.0706357 | − | 0.122345i | 0.828544 | − | 0.559923i | \(-0.189169\pi\) |
−0.899180 | + | 0.437579i | \(0.855836\pi\) | |||||||
\(788\) | 19.3268 | − | 4.90246i | 0.688487 | − | 0.174643i | ||||
\(789\) | −23.5995 | + | 40.8756i | −0.840165 | + | 1.45521i | ||||
\(790\) | 19.0781 | + | 1.90505i | 0.678769 | + | 0.0677786i | ||||
\(791\) | 2.74770 | + | 11.1070i | 0.0976969 | + | 0.394918i | ||||
\(792\) | −0.179668 | − | 0.459633i | −0.00638424 | − | 0.0163323i | ||||
\(793\) | 69.6954 | + | 40.2386i | 2.47496 | + | 1.42892i | ||||
\(794\) | 2.54009 | − | 6.01814i | 0.0901443 | − | 0.213576i | ||||
\(795\) | −23.3920 | − | 5.32276i | −0.829630 | − | 0.188779i | ||||
\(796\) | −1.04350 | − | 1.07180i | −0.0369858 | − | 0.0379889i | ||||
\(797\) | 21.7688i | 0.771090i | 0.922689 | + | 0.385545i | \(0.125987\pi\) | ||||
−0.922689 | + | 0.385545i | \(0.874013\pi\) | |||||||
\(798\) | −13.2247 | + | 5.07965i | −0.468150 | + | 0.179818i | ||||
\(799\) | 0.625448i | 0.0221268i | ||||||||
\(800\) | 26.5693 | + | 9.69904i | 0.939367 | + | 0.342913i | ||||
\(801\) | −2.17751 | + | 1.25719i | −0.0769385 | + | 0.0444205i | ||||
\(802\) | −21.6133 | − | 9.12238i | −0.763194 | − | 0.322123i | ||||
\(803\) | 2.51710 | − | 4.35974i | 0.0888265 | − | 0.153852i | ||||
\(804\) | 10.5017 | + | 2.96504i | 0.370366 | + | 0.104569i | ||||
\(805\) | −11.1982 | + | 0.210327i | −0.394685 | + | 0.00741306i | ||||
\(806\) | −33.5673 | − | 44.3570i | −1.18236 | − | 1.56241i | ||||
\(807\) | −3.07823 | + | 5.33165i | −0.108359 | + | 0.187683i | ||||
\(808\) | −18.2531 | + | 22.8246i | −0.642140 | + | 0.802966i | ||||
\(809\) | 13.0987 | + | 22.6876i | 0.460525 | + | 0.797652i | 0.998987 | − | 0.0449975i | \(-0.0143280\pi\) |
−0.538462 | + | 0.842649i | \(0.680995\pi\) | |||||||
\(810\) | 21.2865 | + | 15.2972i | 0.747930 | + | 0.537489i | ||||
\(811\) | 35.2550i | 1.23797i | 0.785403 | + | 0.618985i | \(0.212456\pi\) | ||||
−0.785403 | + | 0.618985i | \(0.787544\pi\) | |||||||
\(812\) | −6.15338 | − | 11.5104i | −0.215941 | − | 0.403935i | ||||
\(813\) | −1.27696 | −0.0447850 | ||||||||
\(814\) | 0.717806 | + | 5.74917i | 0.0251591 | + | 0.201508i | ||||
\(815\) | 2.40581 | − | 10.5729i | 0.0842719 | − | 0.370351i | ||||
\(816\) | −0.522010 | + | 19.5063i | −0.0182740 | + | 0.682856i | ||||
\(817\) | 10.8163 | − | 18.7344i | 0.378414 | − | 0.655432i | ||||
\(818\) | −13.9375 | − | 18.4174i | −0.487312 | − | 0.643950i | ||||
\(819\) | −3.83907 | − | 1.10844i | −0.134148 | − | 0.0387321i | ||||
\(820\) | 14.1623 | − | 8.64962i | 0.494571 | − | 0.302058i | ||||
\(821\) | 15.6779 | + | 9.05167i | 0.547164 | + | 0.315905i | 0.747977 | − | 0.663724i | \(-0.231025\pi\) |
−0.200813 | + | 0.979630i | \(0.564358\pi\) | |||||||
\(822\) | −13.2763 | + | 31.4550i | −0.463063 | + | 1.09712i | ||||
\(823\) | 5.91819 | + | 10.2506i | 0.206295 | + | 0.357314i | 0.950545 | − | 0.310588i | \(-0.100526\pi\) |
−0.744249 | + | 0.667902i | \(0.767193\pi\) | |||||||
\(824\) | 8.44771 | − | 55.5320i | 0.294290 | − | 1.93455i | ||||
\(825\) | 0.501229 | + | 6.57145i | 0.0174506 | + | 0.228788i | ||||
\(826\) | 1.44736 | + | 1.17155i | 0.0503602 | + | 0.0407635i | ||||
\(827\) | 36.3034i | 1.26239i | 0.775623 | + | 0.631196i | \(0.217436\pi\) | ||||
−0.775623 | + | 0.631196i | \(0.782564\pi\) | |||||||
\(828\) | 0.582880 | + | 0.598688i | 0.0202565 | + | 0.0208058i | ||||
\(829\) | 12.1073 | + | 20.9704i | 0.420502 | + | 0.728331i | 0.995989 | − | 0.0894800i | \(-0.0285205\pi\) |
−0.575486 | + | 0.817811i | \(0.695187\pi\) | |||||||
\(830\) | −39.0333 | + | 17.6223i | −1.35487 | + | 0.611678i | ||||
\(831\) | 16.2236 | − | 28.1002i | 0.562792 | − | 0.974784i | ||||
\(832\) | −37.1304 | − | 40.2370i | −1.28726 | − | 1.39497i | ||||
\(833\) | 17.3309 | + | 10.9180i | 0.600481 | + | 0.378285i | ||||
\(834\) | 15.6053 | + | 20.6214i | 0.540368 | + | 0.714060i | ||||
\(835\) | 22.4952 | − | 6.95520i | 0.778480 | − | 0.240695i | ||||
\(836\) | 0.883001 | + | 3.48102i | 0.0305392 | + | 0.120394i | ||||
\(837\) | −15.4295 | − | 26.7246i | −0.533320 | − | 0.923738i | ||||
\(838\) | −35.8014 | + | 4.46993i | −1.23674 | + | 0.154411i | ||||
\(839\) | −9.71534 | −0.335411 | −0.167705 | − | 0.985837i | \(-0.553636\pi\) | ||||
−0.167705 | + | 0.985837i | \(0.553636\pi\) | |||||||
\(840\) | 27.6530 | + | 3.67678i | 0.954121 | + | 0.126861i | ||||
\(841\) | 22.9160 | 0.790206 | ||||||||
\(842\) | −7.94108 | + | 0.991474i | −0.273668 | + | 0.0341685i | ||||
\(843\) | −6.00205 | − | 10.3959i | −0.206722 | − | 0.358052i | ||||
\(844\) | 25.3518 | − | 6.43077i | 0.872644 | − | 0.221356i | ||||
\(845\) | −22.3508 | − | 72.2892i | −0.768891 | − | 2.48682i | ||||
\(846\) | −0.0402534 | − | 0.0531922i | −0.00138394 | − | 0.00182879i | ||||
\(847\) | −7.61434 | + | 26.3721i | −0.261632 | + | 0.906157i | ||||
\(848\) | 21.9406 | + | 13.4626i | 0.753442 | + | 0.462306i | ||||
\(849\) | −9.85907 | + | 17.0764i | −0.338362 | + | 0.586061i | ||||
\(850\) | −6.57278 | + | 19.6195i | −0.225444 | + | 0.672942i | ||||
\(851\) | −4.90488 | − | 8.49551i | −0.168137 | − | 0.291222i | ||||
\(852\) | 10.5318 | − | 10.2538i | 0.360815 | − | 0.351289i | ||||
\(853\) | 30.1601i | 1.03266i | 0.856389 | + | 0.516331i | \(0.172703\pi\) | ||||
−0.856389 | + | 0.516331i | \(0.827297\pi\) | |||||||
\(854\) | 43.4579 | + | 6.87379i | 1.48710 | + | 0.235216i | ||||
\(855\) | 0.822024 | + | 0.761713i | 0.0281126 | + | 0.0260500i | ||||
\(856\) | −6.85663 | + | 45.0729i | −0.234355 | + | 1.54056i | ||||
\(857\) | −13.3793 | − | 23.1737i | −0.457029 | − | 0.791597i | 0.541774 | − | 0.840524i | \(-0.317753\pi\) |
−0.998802 | + | 0.0489275i | \(0.984420\pi\) | |||||||
\(858\) | 4.96084 | − | 11.7535i | 0.169360 | − | 0.401259i | ||||
\(859\) | 24.3388 | + | 14.0520i | 0.830428 | + | 0.479448i | 0.853999 | − | 0.520274i | \(-0.174170\pi\) |
−0.0235714 | + | 0.999722i | \(0.507504\pi\) | |||||||
\(860\) | −36.3538 | + | 22.2030i | −1.23965 | + | 0.757116i | ||||
\(861\) | 11.7944 | − | 11.3481i | 0.401952 | − | 0.386742i | ||||
\(862\) | −8.03573 | − | 10.6187i | −0.273698 | − | 0.361673i | ||||
\(863\) | −21.9016 | + | 37.9347i | −0.745539 | + | 1.29131i | 0.204404 | + | 0.978887i | \(0.434474\pi\) |
−0.949943 | + | 0.312424i | \(0.898859\pi\) | |||||||
\(864\) | −17.6740 | − | 24.7015i | −0.601282 | − | 0.840363i | ||||
\(865\) | 5.75625 | − | 25.2971i | 0.195718 | − | 0.860127i | ||||
\(866\) | −0.419383 | − | 3.35900i | −0.0142512 | − | 0.114143i | ||||
\(867\) | 14.0664 | 0.477720 | ||||||||
\(868\) | −25.8269 | − | 16.0579i | −0.876621 | − | 0.545039i | ||||
\(869\) | − | 4.79371i | − | 0.162615i | ||||||
\(870\) | 7.58860 | − | 10.5597i | 0.257278 | − | 0.358008i | ||||
\(871\) | −11.1992 | − | 19.3976i | −0.379470 | − | 0.657262i | ||||
\(872\) | 32.7665 | + | 26.2038i | 1.10962 | + | 0.887371i | ||||
\(873\) | 1.44165 | − | 2.49701i | 0.0487924 | − | 0.0845110i | ||||
\(874\) | −3.66925 | − | 4.84867i | −0.124114 | − | 0.164009i | ||||
\(875\) | 26.9037 | + | 12.2960i | 0.909510 | + | 0.415682i | ||||
\(876\) | 5.76853 | − | 20.4312i | 0.194900 | − | 0.690306i | ||||
\(877\) | −17.7221 | + | 30.6955i | −0.598431 | + | 1.03651i | 0.394622 | + | 0.918844i | \(0.370876\pi\) |
−0.993053 | + | 0.117670i | \(0.962458\pi\) | |||||||
\(878\) | 46.3156 | + | 19.5485i | 1.56308 | + | 0.659730i | ||||
\(879\) | −17.1613 | + | 9.90808i | −0.578836 | + | 0.334191i | ||||
\(880\) | 1.75294 | − | 6.85104i | 0.0590916 | − | 0.230948i | ||||
\(881\) | − | 11.0583i | − | 0.372564i | −0.982496 | − | 0.186282i | \(-0.940356\pi\) | ||
0.982496 | − | 0.186282i | \(-0.0596438\pi\) | |||||||
\(882\) | −2.17661 | + | 0.186872i | −0.0732901 | + | 0.00629230i | ||||
\(883\) | − | 18.2084i | − | 0.612760i | −0.951909 | − | 0.306380i | \(-0.900882\pi\) | ||
0.951909 | − | 0.306380i | \(-0.0991178\pi\) | |||||||
\(884\) | 28.6979 | − | 27.9402i | 0.965215 | − | 0.939731i | ||||
\(885\) | −0.411622 | + | 1.80896i | −0.0138365 | + | 0.0608077i | ||||
\(886\) | −6.69638 | + | 15.8655i | −0.224969 | + | 0.533012i | ||||
\(887\) | 24.4553 | + | 14.1193i | 0.821128 | + | 0.474078i | 0.850805 | − | 0.525481i | \(-0.176115\pi\) |
−0.0296774 | + | 0.999560i | \(0.509448\pi\) | |||||||
\(888\) | 8.89541 | + | 22.7565i | 0.298510 | + | 0.763658i | ||||
\(889\) | −11.9956 | + | 2.96752i | −0.402318 | + | 0.0995276i | ||||
\(890\) | −35.8520 | − | 3.58001i | −1.20176 | − | 0.120002i | ||||
\(891\) | 3.27693 | − | 5.67581i | 0.109781 | − | 0.190147i | ||||
\(892\) | 2.01414 | + | 7.94025i | 0.0674383 | + | 0.265859i | ||||
\(893\) | 0.242715 | + | 0.420395i | 0.00812216 | + | 0.0140680i | ||||
\(894\) | 34.5222 | − | 4.31023i | 1.15460 | − | 0.144156i | ||||
\(895\) | −29.5007 | + | 31.8365i | −0.986100 | + | 1.06418i | ||||
\(896\) | −26.8377 | − | 13.2567i | −0.896583 | − | 0.442875i | ||||
\(897\) | 21.6005i | 0.721218i | ||||||||
\(898\) | −0.990253 | − | 7.93131i | −0.0330452 | − | 0.264671i | ||||
\(899\) | −12.2769 | + | 7.08810i | −0.409459 | + | 0.236401i | ||||
\(900\) | −0.703704 | − | 2.09159i | −0.0234568 | − | 0.0697196i | ||||
\(901\) | −9.41555 | + | 16.3082i | −0.313677 | + | 0.543305i | ||||
\(902\) | −2.50374 | − | 3.30852i | −0.0833653 | − | 0.110162i | ||||
\(903\) | −30.2754 | + | 29.1298i | −1.00750 | + | 0.969379i | ||||
\(904\) | 11.3923 | − | 4.45321i | 0.378903 | − | 0.148112i | ||||
\(905\) | −11.0972 | − | 35.8916i | −0.368882 | − | 1.19308i | ||||
\(906\) | 14.4798 | − | 34.3064i | 0.481059 | − | 1.13976i | ||||
\(907\) | 28.3649 | − | 16.3765i | 0.941840 | − | 0.543771i | 0.0513031 | − | 0.998683i | \(-0.483663\pi\) |
0.890536 | + | 0.454912i | \(0.150329\pi\) | |||||||
\(908\) | −13.7792 | − | 14.1529i | −0.457279 | − | 0.469680i | ||||
\(909\) | 2.28024 | 0.0756307 | ||||||||
\(910\) | −35.4044 | − | 45.0026i | −1.17364 | − | 1.49182i | ||||
\(911\) | 6.20517i | 0.205587i | 0.994703 | + | 0.102793i | \(0.0327780\pi\) | ||||
−0.994703 | + | 0.102793i | \(0.967222\pi\) | |||||||
\(912\) | 7.21885 | + | 13.3137i | 0.239040 | + | 0.440861i | ||||
\(913\) | 5.35387 | + | 9.27318i | 0.177187 | + | 0.306897i | ||||
\(914\) | −11.3149 | + | 26.8080i | −0.374263 | + | 0.886729i | ||||
\(915\) | 12.9485 | + | 41.8794i | 0.428064 | + | 1.38449i | ||||
\(916\) | 1.82506 | − | 6.46408i | 0.0603018 | − | 0.213579i | ||||
\(917\) | −39.3782 | − | 11.3695i | −1.30038 | − | 0.375456i | ||||
\(918\) | 17.7179 | − | 13.4081i | 0.584778 | − | 0.442533i | ||||
\(919\) | 42.5171 | + | 24.5473i | 1.40251 | + | 0.809740i | 0.994650 | − | 0.103304i | \(-0.0329415\pi\) |
0.407861 | + | 0.913044i | \(0.366275\pi\) | |||||||
\(920\) | 1.77624 | + | 11.8410i | 0.0585607 | + | 0.390387i | ||||
\(921\) | −15.2950 | − | 26.4918i | −0.503988 | − | 0.872934i | ||||
\(922\) | 0.183245 | + | 1.46768i | 0.00603485 | + | 0.0483353i | ||||
\(923\) | −30.1710 | −0.993091 | ||||||||
\(924\) | 0.227759 | − | 6.97105i | 0.00749273 | − | 0.229331i | ||||
\(925\) | 1.97039 | + | 25.8332i | 0.0647862 | + | 0.849390i | ||||
\(926\) | 2.68989 | + | 21.5444i | 0.0883954 | + | 0.707991i | ||||
\(927\) | −3.79541 | + | 2.19128i | −0.124658 | + | 0.0719711i | ||||
\(928\) | −11.3476 | + | 8.11922i | −0.372502 | + | 0.266526i | ||||
\(929\) | 16.5181 | + | 9.53671i | 0.541940 | + | 0.312889i | 0.745865 | − | 0.666097i | \(-0.232036\pi\) |
−0.203925 | + | 0.978987i | \(0.565370\pi\) | |||||||
\(930\) | 3.01057 | − | 30.1494i | 0.0987206 | − | 0.988638i | ||||
\(931\) | 15.8859 | + | 0.612964i | 0.520639 | + | 0.0200891i | ||||
\(932\) | 38.2486 | + | 10.7991i | 1.25288 | + | 0.353736i | ||||
\(933\) | 6.42915 | − | 11.1356i | 0.210481 | − | 0.364564i | ||||
\(934\) | −20.9061 | − | 8.82387i | −0.684068 | − | 0.288726i | ||||
\(935\) | 5.04435 | + | 1.14782i | 0.164968 | + | 0.0375377i | ||||
\(936\) | −0.642446 | + | 4.22319i | −0.0209990 | + | 0.138039i | ||||
\(937\) | −4.46637 | −0.145910 | −0.0729549 | − | 0.997335i | \(-0.523243\pi\) | ||||
−0.0729549 | + | 0.997335i | \(0.523243\pi\) | |||||||
\(938\) | −9.51819 | − | 7.70440i | −0.310780 | − | 0.251557i | ||||
\(939\) | −28.6325 | −0.934388 | ||||||||
\(940\) | −0.0235944 | − | 0.955595i | −0.000769565 | − | 0.0311681i | ||||
\(941\) | 12.8629 | + | 22.2793i | 0.419320 | + | 0.726283i | 0.995871 | − | 0.0907779i | \(-0.0289353\pi\) |
−0.576552 | + | 0.817061i | \(0.695602\pi\) | |||||||
\(942\) | 8.63754 | − | 20.4646i | 0.281426 | − | 0.666774i | ||||
\(943\) | 6.08386 | + | 3.51252i | 0.198118 | + | 0.114383i | ||||
\(944\) | 1.04109 | − | 1.69672i | 0.0338847 | − | 0.0552235i | ||||
\(945\) | −16.3964 | − | 27.2063i | −0.533374 | − | 0.885021i | ||||
\(946\) | 6.42693 | + | 8.49276i | 0.208957 | + | 0.276123i | ||||
\(947\) | 14.4410 | + | 8.33751i | 0.469269 | + | 0.270933i | 0.715934 | − | 0.698168i | \(-0.246001\pi\) |
−0.246665 | + | 0.969101i | \(0.579335\pi\) | |||||||
\(948\) | −4.97054 | − | 19.5951i | −0.161435 | − | 0.636420i | ||||
\(949\) | −37.7383 | + | 21.7882i | −1.22504 | + | 0.707275i | ||||
\(950\) | 3.19576 | + | 15.7379i | 0.103684 | + | 0.510605i | ||||
\(951\) | −32.5874 | −1.05672 | ||||||||
\(952\) | 9.16917 | − | 19.8853i | 0.297175 | − | 0.644487i | ||||
\(953\) | 13.1368i | 0.425544i | 0.977102 | + | 0.212772i | \(0.0682492\pi\) | ||||
−0.977102 | + | 0.212772i | \(0.931751\pi\) | |||||||
\(954\) | −0.248825 | − | 1.99293i | −0.00805602 | − | 0.0645236i | ||||
\(955\) | 5.49246 | − | 24.1378i | 0.177732 | − | 0.781081i | ||||
\(956\) | 3.31675 | + | 13.0755i | 0.107271 | + | 0.422891i | ||||
\(957\) | −2.81564 | − | 1.62561i | −0.0910167 | − | 0.0525485i | ||||
\(958\) | 23.8359 | − | 18.0379i | 0.770102 | − | 0.582778i | ||||
\(959\) | 27.6092 | − | 26.5644i | 0.891547 | − | 0.857809i | ||||
\(960\) | 0.0617014 | − | 29.8225i | 0.00199140 | − | 0.962516i | ||||
\(961\) | −1.01574 | + | 1.75931i | −0.0327657 | + | 0.0567519i | ||||
\(962\) | 19.5017 | − | 46.2047i | 0.628760 | − | 1.48970i | ||||
\(963\) | 3.08057 | − | 1.77857i | 0.0992699 | − | 0.0573135i | ||||
\(964\) | 1.95839 | − | 1.90669i | 0.0630756 | − | 0.0614102i | ||||
\(965\) | −4.35663 | − | 4.03699i | −0.140245 | − | 0.129955i | ||||
\(966\) | 4.23437 | + | 11.0241i | 0.136239 | + | 0.354693i | ||||
\(967\) | 34.0366 | 1.09454 | 0.547272 | − | 0.836955i | \(-0.315666\pi\) | ||||
0.547272 | + | 0.836955i | \(0.315666\pi\) | |||||||
\(968\) | 29.0108 | + | 4.41322i | 0.932444 | + | 0.141846i | ||||
\(969\) | −9.59481 | + | 5.53957i | −0.308230 | + | 0.177957i | ||||
\(970\) | 37.6571 | − | 17.0009i | 1.20910 | − | 0.545868i | ||||
\(971\) | 31.6711 | + | 18.2853i | 1.01637 | + | 0.586804i | 0.913052 | − | 0.407844i | \(-0.133719\pi\) |
0.103323 | + | 0.994648i | \(0.467052\pi\) | |||||||
\(972\) | −1.24370 | + | 4.40498i | −0.0398917 | + | 0.141290i | ||||
\(973\) | −6.96912 | − | 28.1711i | −0.223420 | − | 0.903124i | ||||
\(974\) | −19.1629 | + | 14.5016i | −0.614018 | + | 0.464661i | ||||
\(975\) | 24.6841 | − | 51.4314i | 0.790523 | − | 1.64712i | ||||
\(976\) | 1.25829 | − | 47.0192i | 0.0402768 | − | 1.50505i | ||||
\(977\) | 21.9380 | − | 12.6659i | 0.701859 | − | 0.405218i | −0.106180 | − | 0.994347i | \(-0.533862\pi\) |
0.808039 | + | 0.589128i | \(0.200529\pi\) | |||||||
\(978\) | −11.3448 | + | 1.41644i | −0.362765 | + | 0.0452926i | ||||
\(979\) | 9.00843i | 0.287911i | ||||||||
\(980\) | −26.8910 | − | 16.0273i | −0.859002 | − | 0.511972i | ||||
\(981\) | − | 3.27347i | − | 0.104514i | ||||||
\(982\) | −2.38794 | − | 19.1259i | −0.0762022 | − | 0.610332i | ||||
\(983\) | 39.3227 | − | 22.7030i | 1.25420 | − | 0.724113i | 0.282259 | − | 0.959338i | \(-0.408916\pi\) |
0.971941 | + | 0.235225i | \(0.0755828\pi\) | |||||||
\(984\) | −13.6650 | − | 10.9281i | −0.435626 | − | 0.348375i | ||||
\(985\) | −6.58490 | − | 21.2976i | −0.209812 | − | 0.678597i | ||||
\(986\) | −6.15951 | − | 8.13938i | −0.196159 | − | 0.259211i | ||||
\(987\) | −0.226404 | − | 0.915190i | −0.00720653 | − | 0.0291308i | ||||
\(988\) | 8.44667 | − | 29.9167i | 0.268724 | − | 0.951778i | ||||
\(989\) | −15.6169 | − | 9.01640i | −0.496587 | − | 0.286705i | ||||
\(990\) | −0.502877 | + | 0.227033i | −0.0159825 | + | 0.00721557i | ||||
\(991\) | −13.6639 | + | 7.88884i | −0.434047 | + | 0.250597i | −0.701069 | − | 0.713093i | \(-0.747294\pi\) |
0.267022 | + | 0.963690i | \(0.413960\pi\) | |||||||
\(992\) | −13.4391 | + | 29.6040i | −0.426691 | + | 0.939929i | ||||
\(993\) | −3.61677 | −0.114775 | ||||||||
\(994\) | −15.3982 | + | 5.91447i | −0.488400 | + | 0.187596i | ||||
\(995\) | −1.13673 | + | 1.22674i | −0.0360369 | + | 0.0388902i | ||||
\(996\) | 31.5002 | + | 32.3544i | 0.998121 | + | 1.02519i | ||||
\(997\) | −1.31350 | + | 0.758348i | −0.0415989 | + | 0.0240171i | −0.520655 | − | 0.853767i | \(-0.674312\pi\) |
0.479056 | + | 0.877784i | \(0.340979\pi\) | |||||||
\(998\) | 19.4608 | + | 8.21385i | 0.616020 | + | 0.260005i | ||||
\(999\) | 13.9109 | − | 24.0943i | 0.440121 | − | 0.762311i |
(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 | 280.2.ba.b.19.19 | yes | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.719.11 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.19.22 | yes | 80 | |
7.3 | odd | 6 | inner | 280.2.ba.b.59.35 | yes | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.19.6 | ✓ | 80 | |
8.5 | even | 2 | 1120.2.bq.b.719.12 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.719.29 | 80 | |||
28.3 | even | 6 | 1120.2.bq.b.1039.30 | 80 | |||
35.24 | odd | 6 | inner | 280.2.ba.b.59.6 | yes | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.19.35 | yes | 80 | |
40.29 | even | 2 | 1120.2.bq.b.719.30 | 80 | |||
56.3 | even | 6 | inner | 280.2.ba.b.59.22 | yes | 80 | |
56.45 | odd | 6 | 1120.2.bq.b.1039.29 | 80 | |||
140.59 | even | 6 | 1120.2.bq.b.1039.12 | 80 | |||
280.59 | even | 6 | inner | 280.2.ba.b.59.19 | yes | 80 | |
280.269 | odd | 6 | 1120.2.bq.b.1039.11 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.6 | ✓ | 80 | 8.3 | odd | 2 | inner | |
280.2.ba.b.19.19 | yes | 80 | 1.1 | even | 1 | trivial | |
280.2.ba.b.19.22 | yes | 80 | 5.4 | even | 2 | inner | |
280.2.ba.b.19.35 | yes | 80 | 40.19 | odd | 2 | inner | |
280.2.ba.b.59.6 | yes | 80 | 35.24 | odd | 6 | inner | |
280.2.ba.b.59.19 | yes | 80 | 280.59 | even | 6 | inner | |
280.2.ba.b.59.22 | yes | 80 | 56.3 | even | 6 | inner | |
280.2.ba.b.59.35 | yes | 80 | 7.3 | odd | 6 | inner | |
1120.2.bq.b.719.11 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.719.12 | 80 | 8.5 | even | 2 | |||
1120.2.bq.b.719.29 | 80 | 20.19 | odd | 2 | |||
1120.2.bq.b.719.30 | 80 | 40.29 | even | 2 | |||
1120.2.bq.b.1039.11 | 80 | 280.269 | odd | 6 | |||
1120.2.bq.b.1039.12 | 80 | 140.59 | even | 6 | |||
1120.2.bq.b.1039.29 | 80 | 56.45 | odd | 6 | |||
1120.2.bq.b.1039.30 | 80 | 28.3 | even | 6 |